# List of all S-integral points on all rational elliptic curves (using Cremona's database) up to conductor 1000, # where S is the set of the first 20 primes. # It contains 45456 points in total. # Format: "(x,y)". # Computing this list took 60338 seconds. # Authors: Rafael von Känel and Benjamin Matschke, 2015. # License: Creative commons 3.0 by-nc. # # a-invariants: (0, -1, 1, -10, -20) # Cremona label: 11a1 # (16,-61) (5,-6) (16,60) (5,5) # # a-invariants: (0, -1, 1, -7820, -263580) # Cremona label: 11a2 # # # a-invariants: (0, -1, 1, 0, 0) # Cremona label: 11a3 # (0,-1) (0,0) (1,0) (1,-1) # # a-invariants: (1, 0, 1, 4, -6) # Cremona label: 14a1 # (2,2) (9,23) (1,-1) (2,-5) (9,-33) # # a-invariants: (1, 0, 1, -36, -70) # Cremona label: 14a2 # (-4,5) (10,19) (-4,-2) (10,-30) (-9/4,5/8) # # a-invariants: (1, 0, 1, -171, -874) # Cremona label: 14a3 # (15,-8) # # a-invariants: (1, 0, 1, -1, 0) # Cremona label: 14a4 # (0,-1) (0,0) (1,0) (1,-2) (-1,0) # # a-invariants: (1, 0, 1, -2731, -55146) # Cremona label: 14a5 # (-121/4,117/8) # # a-invariants: (1, 0, 1, -11, 12) # Cremona label: 14a6 # (2,-1) (0,-4) (0,3) (7/4,-11/8) (2,-2) # # a-invariants: (1, 1, 1, -10, -10) # Cremona label: 15a1 # (-2,3) (3,-2) (8,18) (-2,-2) (-1,0) (-13/4,9/8) (8,-27) # # a-invariants: (1, 1, 1, -135, -660) # Cremona label: 15a2 # (-7,3) (-29/4,25/8) (13,-7) # # a-invariants: (1, 1, 1, -5, 2) # Cremona label: 15a3 # (-3,1) (1,-1) (0,-2) (0,1) (2,1) (2,-4) (3/4,-7/8) # # a-invariants: (1, 1, 1, 35, -28) # Cremona label: 15a4 # (7,-29) (32,171) (32,-204) (7,21) (2,-9) (3/4,-7/8) (2,6) # # a-invariants: (1, 1, 1, -2160, -39540) # Cremona label: 15a5 # (-109/4,105/8) # # a-invariants: (1, 1, 1, -110, -880) # Cremona label: 15a6 # (51/4,-55/8) # # a-invariants: (1, 1, 1, -80, 242) # Cremona label: 15a7 # (5,-2) (19/4,-23/8) (5,-4) # # a-invariants: (1, 1, 1, 0, 0) # Cremona label: 15a8 # (0,-1) (0,0) (-1,0) # # a-invariants: (1, -1, 1, -1, -14) # Cremona label: 17a1 # (7,-21) (7,13) (11/4,-15/8) # # a-invariants: (1, -1, 1, -6, -4) # Cremona label: 17a2 # (-1,0) (3,-2) (-5/4,1/8) # # a-invariants: (1, -1, 1, -91, -310) # Cremona label: 17a3 # (-21/4,17/8) # # a-invariants: (1, -1, 1, -1, 0) # Cremona label: 17a4 # (0,-1) (0,0) (1,-1) # # a-invariants: (0, 1, 1, -9, -15) # Cremona label: 19a1 # (5,9) (5,-10) # # a-invariants: (0, 1, 1, -769, -8470) # Cremona label: 19a2 # # # a-invariants: (0, 1, 1, 1, 0) # Cremona label: 19a3 # (0,-1) (0,0) # # a-invariants: (0, 1, 0, 4, 4) # Cremona label: 20a1 # (-1,0) (0,-2) (0,2) (4,-10) (4,10) # # a-invariants: (0, 1, 0, -1, 0) # Cremona label: 20a2 # (0,0) (-1,1) (1,-1) (-1,-1) (1,1) # # a-invariants: (0, 1, 0, -36, -140) # Cremona label: 20a3 # (7,0) # # a-invariants: (0, 1, 0, -41, -116) # Cremona label: 20a4 # (-4,0) # # a-invariants: (1, 0, 0, -4, -1) # Cremona label: 21a1 # (2,-1) (-1/4,1/8) (-1,-1) (-1,2) (5,-13) (-2,1) (5,8) # # a-invariants: (1, 0, 0, -49, -136) # Cremona label: 21a2 # (-17/4,17/8) (8,-4) (-4,2) # # a-invariants: (1, 0, 0, -39, 90) # Cremona label: 21a3 # (3,-3) (-3,15) (6,-12) (3,0) (6,6) (15/4,-15/8) (-3,-12) # # a-invariants: (1, 0, 0, 1, 0) # Cremona label: 21a4 # (0,0) (1,-2) (1,1) # # a-invariants: (1, 0, 0, -784, -8515) # Cremona label: 21a5 # (-65/4,65/8) # # a-invariants: (1, 0, 0, -34, -217) # Cremona label: 21a6 # (31/4,-31/8) # # a-invariants: (0, -1, 0, -4, 4) # Cremona label: 24a1 # (4,-6) (2,0) (-2,0) (0,-2) (1,0) (0,2) (4,6) # # a-invariants: (0, -1, 0, -24, -36) # Cremona label: 24a2 # (-2,0) (-3,0) (6,0) # # a-invariants: (0, -1, 0, -64, 220) # Cremona label: 24a3 # (6,-4) (6,4) (5,0) # # a-invariants: (0, -1, 0, 1, 0) # Cremona label: 24a4 # (0,0) (1,-1) (1,1) # # a-invariants: (0, -1, 0, -384, -2772) # Cremona label: 24a5 # (-11,0) # # a-invariants: (0, -1, 0, 16, -180) # Cremona label: 24a6 # (5,0) # # a-invariants: (1, 0, 1, -5, -8) # Cremona label: 26a1 # (4,4) (4,-9) # # a-invariants: (1, 0, 1, -460, -3830) # Cremona label: 26a2 # # # a-invariants: (1, 0, 1, 0, 0) # Cremona label: 26a3 # (0,-1) (0,0) # # a-invariants: (1, -1, 1, -3, 3) # Cremona label: 26b1 # (-1,-2) (-1,2) (1,0) (1,-2) (3,2) (3,-6) # # a-invariants: (1, -1, 1, -213, -1257) # Cremona label: 26b2 # # # a-invariants: (0, 0, 1, 0, -7) # Cremona label: 27a1 # (3,4) (3,-5) # # a-invariants: (0, 0, 1, -270, -1708) # Cremona label: 27a2 # # # a-invariants: (0, 0, 1, 0, 0) # Cremona label: 27a3 # (0,-1) (0,0) # # a-invariants: (0, 0, 1, -30, 63) # Cremona label: 27a4 # (3,0) (3,-1) # # a-invariants: (1, 0, 1, 1, 2) # Cremona label: 30a1 # (3,-8) (0,-2) (0,1) (3,4) (-1,0) # # a-invariants: (1, 0, 1, -19, 26) # Cremona label: 30a2 # (4,-7) (13,-52) (-2,8) (1,-4) (3,-2) (4,2) (-2,-7) (7/4,-11/8) (13,38) (1,2) (-5,2) # # a-invariants: (1, 0, 1, -14, -64) # Cremona label: 30a3 # (5,-3) # # a-invariants: (1, 0, 1, -69, -194) # Cremona label: 30a4 # (-4,-3) (-4,6) (14,-48) (14,33) (-25/4,21/8) # # a-invariants: (1, 0, 1, -289, 1862) # Cremona label: 30a5 # (39/4,-43/8) (16,29) (10,-7) (10,-4) (16,-46) # # a-invariants: (1, 0, 1, -334, -2368) # Cremona label: 30a6 # (-11,5) (-41/4,37/8) (21,-11) # # a-invariants: (1, 0, 1, -5334, -150368) # Cremona label: 30a7 # (-169/4,165/8) # # a-invariants: (1, 0, 1, -454, -544) # Cremona label: 30a8 # (87/4,-91/8) # # a-invariants: (0, 0, 0, 4, 0) # Cremona label: 32a1 # (0,0) (2,-4) (2,4) # # a-invariants: (0, 0, 0, -1, 0) # Cremona label: 32a2 # (-1,0) (0,0) (1,0) # # a-invariants: (0, 0, 0, -11, -14) # Cremona label: 32a3 # (-2,0) # # a-invariants: (0, 0, 0, -11, 14) # Cremona label: 32a4 # (1,-2) (2,0) (1,2) # # a-invariants: (1, 1, 0, -11, 0) # Cremona label: 33a1 # (0,0) (11/4,-11/8) (-4,2) # # a-invariants: (1, 1, 0, -6, -9) # Cremona label: 33a2 # (-2,1) # # a-invariants: (1, 1, 0, -146, 621) # Cremona label: 33a3 # (27/4,-27/8) (4,-13) (4,9) # # a-invariants: (1, 1, 0, 44, 55) # Cremona label: 33a4 # (-5/4,5/8) # # a-invariants: (1, 0, 0, -3, 1) # Cremona label: 34a1 # (0,-1) (2,-3) (0,1) (2,1) (-2,1) # # a-invariants: (1, 0, 0, -43, 105) # Cremona label: 34a2 # (8,-21) (15/4,-15/8) (4,-1) (4,-3) (8,13) # # a-invariants: (1, 0, 0, -103, -411) # Cremona label: 34a3 # (-6,3) # # a-invariants: (1, 0, 0, -113, -329) # Cremona label: 34a4 # (47/4,-47/8) # # a-invariants: (0, 1, 1, 9, 1) # Cremona label: 35a1 # (1,-4) (1,3) # # a-invariants: (0, 1, 1, -131, -650) # Cremona label: 35a2 # # # a-invariants: (0, 1, 1, -1, 0) # Cremona label: 35a3 # (0,-1) (0,0) # # a-invariants: (0, 0, 0, 0, 1) # Cremona label: 36a1 # (0,-1) (2,-3) (0,1) (2,3) (-1,0) # # a-invariants: (0, 0, 0, -15, 22) # Cremona label: 36a2 # (3,-2) (2,0) (3,2) (-1,6) (-1,-6) # # a-invariants: (0, 0, 0, 0, -27) # Cremona label: 36a3 # (3,0) # # a-invariants: (0, 0, 0, -135, -594) # Cremona label: 36a4 # (-6,0) # # a-invariants: (0, 0, 1, -1, 0) # Cremona label: 37a1 # (0,-1) (0,0) (1,-1) (1,0) (-1,-1) (-1,0) (2,-3) (2,2) (1/4,-3/8) (1/4,-5/8) (6,-15) (6,14) (-5/9,-35/27) (-5/9,8/27) (21/25,-69/125) (21/25,-56/125) (-20/49,92/343) (-20/49,-435/343) (161/16,-2065/64) (161/16,2001/64) (116/529,-8555/12167) (116/529,-3612/12167) (1357/841,28888/24389) (1357/841,-53277/24389) (-3741/3481,-162024/205379) (-3741/3481,-43355/205379) (18526/16641,469430/2146689) (18526/16641,-2616119/2146689) (480106/4225,-332788379/274625) (480106/4225,332513754/274625) (12551561/13608721,-41922509264/50202571769) (12551561/13608721,-8280062505/50202571769) # # a-invariants: (0, 1, 1, -23, -50) # Cremona label: 37b1 # (8,18) (8,-19) # # a-invariants: (0, 1, 1, -1873, -31833) # Cremona label: 37b2 # # # a-invariants: (0, 1, 1, -3, 1) # Cremona label: 37b3 # (1,0) (1,-1) # # a-invariants: (1, 0, 1, 9, 90) # Cremona label: 38a1 # (0,-10) (0,9) # # a-invariants: (1, 0, 1, -86, -2456) # Cremona label: 38a2 # # # a-invariants: (1, 0, 1, -16, 22) # Cremona label: 38a3 # (2,-1) (2,-2) # # a-invariants: (1, 1, 1, 0, 1) # Cremona label: 38b1 # (1,1) (1,-3) (-1,-1) (-1,1) # # a-invariants: (1, 1, 1, -70, -279) # Cremona label: 38b2 # # # a-invariants: (1, 1, 0, -4, -5) # Cremona label: 39a1 # (2,-1) (-5/4,5/8) (-2,1) # # a-invariants: (1, 1, 0, -69, -252) # Cremona label: 39a2 # (-21/4,21/8) # # a-invariants: (1, 1, 0, -19, 22) # Cremona label: 39a3 # (6,10) (11/4,-11/8) (6,-16) # # a-invariants: (1, 1, 0, 1, 0) # Cremona label: 39a4 # (0,0) # # a-invariants: (0, 0, 0, -7, -6) # Cremona label: 40a1 # (-1,0) (-2,0) (3,0) # # a-invariants: (0, 0, 0, -107, -426) # Cremona label: 40a2 # (-6,0) # # a-invariants: (0, 0, 0, -2, 1) # Cremona label: 40a3 # (0,-1) (0,1) (1,0) # # a-invariants: (0, 0, 0, 13, -34) # Cremona label: 40a4 # (7,-20) (2,0) (7,20) # # a-invariants: (1, 1, 1, -4, 5) # Cremona label: 42a1 # (-1,3) (1,-3) (-3,1) (1,1) (5,9) (-1,-3) (5,-15) # # a-invariants: (1, 1, 1, -84, 261) # Cremona label: 42a2 # (7,5) (3,-9) (-11,5) (19/4,-23/8) (5,-3) (7,-13) (3,5) # # a-invariants: (1, 1, 1, -104, 101) # Cremona label: 42a3 # (9,-5) (1,-1) (-45/4,41/8) # # a-invariants: (1, 1, 1, -1344, 18405) # Cremona label: 42a4 # (21,-9) (21,-13) (83/4,-87/8) # # a-invariants: (1, 1, 1, -914, -10915) # Cremona label: 42a5 # (-77/4,73/8) # # a-invariants: (1, 1, 1, 386, 1277) # Cremona label: 42a6 # (-13/4,9/8) # # a-invariants: (0, 1, 1, 0, 0) # Cremona label: 43a1 # (0,-1) (0,0) (-1,-1) (-1,0) (1,-2) (1,1) (2,3) (2,-4) (-3/4,1/8) (-3/4,-9/8) (-2/9,1/27) (-2/9,-28/27) (21,98) (21,-99) (11/49,20/343) (11/49,-363/343) (-140/121,-400/1331) (-140/121,-931/1331) (209/400,2527/8000) (209/400,-10527/8000) (1740/361,76400/6859) (1740/361,-83259/6859) (-3629/7569,-729620/658503) (-3629/7569,71117/658503) (665838199/34117281,-17715783977801/199279038321) (665838199/34117281,17516504939480/199279038321) (-1524968280/6607901521,21171512841831/537149706740569) (-1524968280/6607901521,-558321219582400/537149706740569) # # a-invariants: (0, 1, 0, 3, -1) # Cremona label: 44a1 # (1,-2) (1,2) # # a-invariants: (0, 1, 0, -77, -289) # Cremona label: 44a2 # # # a-invariants: (1, -1, 0, 0, -5) # Cremona label: 45a1 # (2,-1) # # a-invariants: (1, -1, 0, -45, -104) # Cremona label: 45a2 # (8,-4) (-4,2) (-13/4,13/8) # # a-invariants: (1, -1, 0, -720, -7259) # Cremona label: 45a3 # (-61/4,61/8) # # a-invariants: (1, -1, 0, -90, 175) # Cremona label: 45a4 # (2,-1) (35/4,-35/8) (-10,5) # # a-invariants: (1, -1, 0, -1215, 16600) # Cremona label: 45a5 # (20,-10) (83/4,-83/8) (-40,20) # # a-invariants: (1, -1, 0, 315, 1066) # Cremona label: 45a6 # (-13/4,13/8) # # a-invariants: (1, -1, 0, -19440, 1048135) # Cremona label: 45a7 # (323/4,-323/8) # # a-invariants: (1, -1, 0, -990, 22765) # Cremona label: 45a8 # (-157/4,157/8) # # a-invariants: (1, -1, 0, -10, -12) # Cremona label: 46a1 # (4,-2) # # a-invariants: (1, -1, 0, -170, -812) # Cremona label: 46a2 # (-29/4,29/8) # # a-invariants: (0, 1, 0, -4, -4) # Cremona label: 48a1 # (-1,0) (-2,0) (2,0) # # a-invariants: (0, 1, 0, -64, -220) # Cremona label: 48a2 # (-5,0) # # a-invariants: (0, 1, 0, -24, 36) # Cremona label: 48a3 # (6,-12) (2,0) (0,-6) (6,12) (3,0) (-6,0) (0,6) # # a-invariants: (0, 1, 0, 1, 0) # Cremona label: 48a4 # (0,0) # # a-invariants: (0, 1, 0, -384, 2772) # Cremona label: 48a5 # (12,-6) (11,0) (12,6) # # a-invariants: (0, 1, 0, 16, 180) # Cremona label: 48a6 # (22,108) (-5,0) (-2,12) (4,18) (-2,-12) (4,-18) (22,-108) # # a-invariants: (1, -1, 0, -2, -1) # Cremona label: 49a1 # (2,-1) # # a-invariants: (1, -1, 0, -37, -78) # Cremona label: 49a2 # (-13/4,13/8) # # a-invariants: (1, -1, 0, -107, 552) # Cremona label: 49a3 # (-12,6) # # a-invariants: (1, -1, 0, -1822, 30393) # Cremona label: 49a4 # (99/4,-99/8) # # a-invariants: (1, 0, 1, -1, -2) # Cremona label: 50a1 # (2,1) (2,-4) # # a-invariants: (1, 0, 1, -126, -552) # Cremona label: 50a2 # # # a-invariants: (1, 0, 1, -76, 298) # Cremona label: 50a3 # (2,-14) (2,11) # # a-invariants: (1, 0, 1, 549, -2202) # Cremona label: 50a4 # # # a-invariants: (1, 1, 1, -3, 1) # Cremona label: 50b1 # (-1,2) (1,0) (1,-2) (-1,-2) # # a-invariants: (1, 1, 1, 22, -9) # Cremona label: 50b2 # (9,27) (1,-5) (1,3) (9,-37) # # a-invariants: (1, 1, 1, -13, -219) # Cremona label: 50b3 # # # a-invariants: (1, 1, 1, -3138, -68969) # Cremona label: 50b4 # # # a-invariants: (0, 1, 1, 1, -1) # Cremona label: 51a1 # (1,1) (1,-2) # # a-invariants: (0, 1, 1, -59, -196) # Cremona label: 51a2 # # # a-invariants: (0, 0, 0, 1, -10) # Cremona label: 52a1 # (2,0) # # a-invariants: (0, 0, 0, -4, -3) # Cremona label: 52a2 # (-1,0) # # a-invariants: (1, -1, 1, 0, 0) # Cremona label: 53a1 # (0,-1) (0,0) (1,-2) (1,0) (2,-4) (2,1) (-1/4,-1/8) (-1/4,-5/8) (10,-36) (10,25) (9/25,-162/125) (9/25,-8/125) (40/81,-1025/729) (40/81,-64/729) (369/64,4941/512) (369/64,-8405/512) (-488/1681,-15424/68921) (-488/1681,-33489/68921) (9881/3721,464648/226981) (9881/3721,-1294370/226981) (65311/592900,-502342569/456533000) (65311/592900,-4479901/456533000) (-7406159/74805201,-575093165570/646990183449) (-7406159/74805201,-7841148688/646990183449) # # a-invariants: (1, -1, 0, 12, 8) # Cremona label: 54a1 # (1,-5) (1,4) # # a-invariants: (1, -1, 0, -123, -667) # Cremona label: 54a2 # # # a-invariants: (1, -1, 0, -3, 3) # Cremona label: 54a3 # (1,0) (1,-1) # # a-invariants: (1, -1, 1, 1, -1) # Cremona label: 54b1 # (1,0) (1,-2) # # a-invariants: (1, -1, 1, -29, -53) # Cremona label: 54b2 # # # a-invariants: (1, -1, 1, -14, 29) # Cremona label: 54b3 # (9,19) (9,-29) (1,3) (3,1) (-3,7) (-3,-5) (1,-5) (3,-5) # # a-invariants: (1, -1, 0, -4, 3) # Cremona label: 55a1 # (2,-1) (3/4,-3/8) (-2,1) # # a-invariants: (1, -1, 0, -29, -52) # Cremona label: 55a2 # (-13/4,13/8) # # a-invariants: (1, -1, 0, -59, 190) # Cremona label: 55a3 # (19/4,-19/8) (6,-8) (6,2) # # a-invariants: (1, -1, 0, 1, 0) # Cremona label: 55a4 # (0,0) # # a-invariants: (0, 0, 0, 1, 2) # Cremona label: 56a1 # (-1,0) (1,-2) (1,2) # # a-invariants: (0, 0, 0, -19, 30) # Cremona label: 56a2 # (-5,0) (2,0) (3,0) # # a-invariants: (0, 0, 0, -59, -138) # Cremona label: 56a3 # (-6,0) # # a-invariants: (0, 0, 0, -299, 1990) # Cremona label: 56a4 # (10,0) # # a-invariants: (0, -1, 0, 0, -4) # Cremona label: 56b1 # (2,0) # # a-invariants: (0, -1, 0, -40, -84) # Cremona label: 56b2 # (-3,0) # # a-invariants: (0, -1, 1, -2, 2) # Cremona label: 57a1 # (2,-2) (2,1) (1,0) (1,-1) (-1,1) (-1,-2) (0,-2) (0,1) (5/4,-1/8) (5/4,-7/8) (4,-7) (4,6) (11,-35) (11,34) (13/9,1/27) (13/9,-28/27) (14/25,62/125) (14/25,-187/125) (-23/16,-51/64) (-23/16,-13/64) (86/121,-1765/1331) (86/121,434/1331) (261/169,391/2197) (261/169,-2588/2197) (995/49,30358/343) (995/49,-30701/343) (1660/529,44122/12167) (1660/529,-56289/12167) (8789/7396,-80647/636056) (8789/7396,-555409/636056) (-1976/7569,750007/658503) (-1976/7569,-1408510/658503) (1466042/638401,-1336363406/510082399) (1466042/638401,826281007/510082399) (3369249/23104,6161143535/3511808) (3369249/23104,-6164655343/3511808) # # a-invariants: (1, 0, 1, -7, 5) # Cremona label: 57b1 # (-3,1) (7/4,-11/8) (1,-1) # # a-invariants: (1, 0, 1, -2, -1) # Cremona label: 57b2 # (-1,0) # # a-invariants: (1, 0, 1, -102, 385) # Cremona label: 57b3 # (5,-6) (5,0) (23/4,-27/8) # # a-invariants: (1, 0, 1, 8, 29) # Cremona label: 57b4 # (-9/4,5/8) # # a-invariants: (0, 1, 1, 20, -32) # Cremona label: 57c1 # (11,40) (11,-41) (2,-5) (2,4) # # a-invariants: (0, 1, 1, -4390, -113432) # Cremona label: 57c2 # # # a-invariants: (1, -1, 0, -1, 1) # Cremona label: 58a1 # (0,-1) (0,1) (1,0) (1,-1) (2,-3) (2,1) (-1,1) (-1,0) (4,5) (4,-9) (3/4,1/8) (3/4,-7/8) (4/9,13/27) (4/9,-25/27) (15,49) (15,-64) (-14/25,-99/125) (-14/25,169/125) (65/49,57/343) (65/49,-512/343) (224/169,-3275/2197) (224/169,363/2197) (-143/256,5537/4096) (-143/256,-3249/4096) (1824/121,-85805/1331) (1824/121,65741/1331) (1441/3249,89383/185193) (1441/3249,-171520/185193) (898979/448900,301948543/300763000) (898979/448900,-904264473/300763000) (188372002/81,-2586228122087/729) (188372002/81,2584532774069/729) # # a-invariants: (1, 1, 1, 5, 9) # Cremona label: 58b1 # (3,-10) (-1,-2) (-1,2) (3,6) # # a-invariants: (1, 1, 1, -455, -3951) # Cremona label: 58b2 # # # a-invariants: (1, 0, 0, -2, 1) # Cremona label: 61a1 # (1,-1) (1,0) (0,-1) (0,1) (-1,2) (-1,-1) (3/4,-5/8) (3/4,-1/8) (7,-22) (7,15) (16/9,29/27) (16/9,-77/27) (25/49,-232/343) (25/49,57/343) (-111/64,475/512) (-111/64,413/512) (329/625,-10408/15625) (329/625,2183/15625) (2544/1369,61147/50653) (2544/1369,-155275/50653) (13975/2209,1318273/103823) (13975/2209,-1975098/103823) (74851/101124,-3886007/32157432) (74851/101124,-19916611/32157432) (-330833/312481,352199310/174676879) (-330833/312481,-167263663/174676879) (157728/4092529,7796009255/8279186167) (157728/4092529,-8115092999/8279186167) (636789825/246016,15912046652039/122023936) (636789825/246016,-16227894405239/122023936) # # a-invariants: (1, -1, 1, -1, 1) # Cremona label: 62a1 # (-1,0) (1,0) (1,-2) # # a-invariants: (1, -1, 1, -21, 41) # Cremona label: 62a2 # (3,-2) (-5,2) (11/4,-15/8) # # a-invariants: (1, -1, 1, -31, 5) # Cremona label: 62a3 # (-21/4,17/8) # # a-invariants: (1, -1, 1, -331, 2397) # Cremona label: 62a4 # (43/4,-47/8) # # a-invariants: (1, -1, 0, 9, 0) # Cremona label: 63a1 # (0,0) # # a-invariants: (1, -1, 0, -36, 27) # Cremona label: 63a2 # (6,-3) (3/4,-3/8) (-6,3) # # a-invariants: (1, -1, 0, -351, -2430) # Cremona label: 63a3 # (-45/4,45/8) # # a-invariants: (1, -1, 0, -441, 3672) # Cremona label: 63a4 # (12,-6) (51/4,-51/8) (-24,12) # # a-invariants: (1, -1, 0, -7056, 229905) # Cremona label: 63a5 # (195/4,-195/8) (48,-33) (48,-15) # # a-invariants: (1, -1, 0, -306, 5859) # Cremona label: 63a6 # (-93/4,93/8) # # a-invariants: (0, 0, 0, -4, 0) # Cremona label: 64a1 # (0,0) (2,0) (-2,0) # # a-invariants: (0, 0, 0, -44, -112) # Cremona label: 64a2 # (-4,0) # # a-invariants: (0, 0, 0, -44, 112) # Cremona label: 64a3 # (6,8) (4,0) (6,-8) # # a-invariants: (0, 0, 0, 1, 0) # Cremona label: 64a4 # (0,0) # # a-invariants: (1, 0, 0, -1, 0) # Cremona label: 65a1 # (0,0) (1,-1) (-1,0) (-1,1) (1,0) (4,6) (-1/4,5/8) (4,-10) (-1/4,-3/8) (25/9,85/27) (-9/25,96/125) (25/9,-160/27) (-9/25,-51/125) (289/256,-5559/4096) (-256/289,-880/4913) (289/256,935/4096) (-256/289,5232/4913) (11881/121,1231264/1331) (11881/121,-1361955/1331) (498436/540225,-74002214/397065375) (498436/540225,-292348246/397065375) # # a-invariants: (1, 0, 0, 4, 1) # Cremona label: 65a2 # (-1/4,1/8) (1,-3) (3,5) (1,2) (3,-8) (16,57) (0,-1) (0,1) (16,-73) (1/9,31/27) (1/9,-34/27) (11,32) (11,-43) (15/4,53/8) (49/64,-1301/512) (15/4,-83/8) (49/64,909/512) (393,7597) (393,-7990) (-29/121,-113/1331) (-29/121,432/1331) (544/225,13217/3375) (3056/2401,-419047/117649) (544/225,-21377/3375) (3056/2401,269303/117649) (21241/841,-3428742/24389) (21241/841,2812753/24389) (17985/73984,-30915847/20123648) (17985/73984,26023927/20123648) # # a-invariants: (1, 0, 1, -6, 4) # Cremona label: 66a1 # (2,-3) (-1,3) (2,0) (1,-1) (-1,-3) # # a-invariants: (1, 0, 1, 4, 20) # Cremona label: 66a2 # (6,13) (6,-20) (0,-5) (0,4) (-9/4,5/8) # # a-invariants: (1, 0, 1, -81, -284) # Cremona label: 66a3 # (-5,2) # # a-invariants: (1, 0, 1, -41, -556) # Cremona label: 66a4 # (39/4,-43/8) # # a-invariants: (1, 1, 1, -2, -1) # Cremona label: 66b1 # (-1,-1) (1,-1) (-1,1) # # a-invariants: (1, 1, 1, -22, -49) # Cremona label: 66b2 # (-3,1) (-13/4,9/8) (5,-3) # # a-invariants: (1, 1, 1, -352, -2689) # Cremona label: 66b3 # (-45/4,41/8) # # a-invariants: (1, 1, 1, -12, -81) # Cremona label: 66b4 # (19/4,-23/8) # # a-invariants: (1, 0, 0, -45, 81) # Cremona label: 66c1 # (0,9) (18,-81) (6,3) (0,-9) (-6,15) (18,63) (-6,-9) (2,-1) (6,-9) # # a-invariants: (1, 0, 0, 115, 561) # Cremona label: 66c2 # (70,-629) (-17/4,17/8) (-2,19) (70,559) (16,-89) (-2,-17) (16,73) (4,31) (4,-35) # # a-invariants: (1, 0, 0, -10065, -389499) # Cremona label: 66c3 # (-58,29) # # a-invariants: (1, 0, 0, -10055, -390309) # Cremona label: 66c4 # (463/4,-463/8) # # a-invariants: (0, 1, 1, -12, -21) # Cremona label: 67a1 # # # a-invariants: (1, 0, 1, -1, -1) # Cremona label: 69a1 # (1,-1) # # a-invariants: (1, 0, 1, -16, -25) # Cremona label: 69a2 # (-9/4,5/8) # # a-invariants: (1, -1, 1, 2, -3) # Cremona label: 70a1 # (3,3) (1,-1) (3,-7) # # a-invariants: (1, -1, 1, -18, -19) # Cremona label: 70a2 # (-3,1) (5,-3) (-5/4,1/8) # # a-invariants: (1, -1, 1, -268, -1619) # Cremona label: 70a3 # (-37/4,33/8) # # a-invariants: (1, -1, 1, -88, 317) # Cremona label: 70a4 # (27/4,-31/8) # # a-invariants: (0, 0, 0, 6, -7) # Cremona label: 72a1 # (1,0) (4,-9) (4,9) # # a-invariants: (0, 0, 0, -39, -70) # Cremona label: 72a2 # (7,0) (-2,0) (-5,0) # # a-invariants: (0, 0, 0, -579, -5362) # Cremona label: 72a3 # (-14,0) # # a-invariants: (0, 0, 0, -219, 1190) # Cremona label: 72a4 # (7,0) (-17,0) (10,0) # # a-invariants: (0, 0, 0, -3459, 78302) # Cremona label: 72a5 # (34,0) # # a-invariants: (0, 0, 0, 141, 4718) # Cremona label: 72a6 # (-14,0) # # a-invariants: (1, -1, 0, 4, -3) # Cremona label: 73a1 # (3/4,-3/8) # # a-invariants: (1, -1, 0, -1, 0) # Cremona label: 73a2 # (0,0) # # a-invariants: (0, -1, 1, -8, -7) # Cremona label: 75a1 # # # a-invariants: (0, -1, 1, 42, 443) # Cremona label: 75a2 # # # a-invariants: (1, 0, 1, -1, 23) # Cremona label: 75b1 # (-3,1) # # a-invariants: (1, 0, 1, -126, 523) # Cremona label: 75b2 # (7,-4) (-13,6) (23/4,-27/8) # # a-invariants: (1, 0, 1, -251, -727) # Cremona label: 75b3 # (-3,1) (17,-9) (-57/4,53/8) # # a-invariants: (1, 0, 1, -2001, 34273) # Cremona label: 75b4 # (103/4,-107/8) # # a-invariants: (1, 0, 1, -3376, -75727) # Cremona label: 75b5 # (-137/4,133/8) (-33,16) (67,-34) # # a-invariants: (1, 0, 1, 874, -5227) # Cremona label: 75b6 # (23/4,-27/8) # # a-invariants: (1, 0, 1, -54001, -4834477) # Cremona label: 75b7 # (-537/4,533/8) # # a-invariants: (1, 0, 1, -2751, -104477) # Cremona label: 75b8 # (167,-2109) (167,1941) (263/4,-267/8) # # a-invariants: (0, 1, 1, 2, 4) # Cremona label: 75c1 # (-1,-2) (-1,1) (2,-5) (2,4) # # a-invariants: (0, 1, 1, -208, -1256) # Cremona label: 75c2 # # # a-invariants: (0, -1, 0, -21, -31) # Cremona label: 76a1 # # # a-invariants: (0, 0, 1, 2, 0) # Cremona label: 77a1 # (2,3) (2,-4) (0,-1) (0,0) (1/4,-11/8) (1/4,3/8) (4,-9) (4,8) (30,164) (30,-165) (17/16,-153/64) (17/16,89/64) (-26/225,-2132/3375) (-26/225,-1243/3375) (188/289,-9096/4913) (188/289,4183/4913) (6945/676,575509/17576) (6945/676,-593085/17576) (16456/2209,-2201232/103823) (16456/2209,2097409/103823) (-89535/937024,-235033185/907039232) (-89535/937024,-672006047/907039232) # # a-invariants: (0, 1, 1, -49, 600) # Cremona label: 77b1 # (0,24) (0,-25) # # a-invariants: (0, 1, 1, 441, -15815) # Cremona label: 77b2 # # # a-invariants: (0, 1, 1, -89, 295) # Cremona label: 77b3 # (5,-1) (5,0) # # a-invariants: (1, 1, 0, 4, 11) # Cremona label: 77c1 # (-2,1) # # a-invariants: (1, 1, 0, -51, 110) # Cremona label: 77c2 # (11/4,-11/8) # # a-invariants: (1, 1, 0, -19, 685) # Cremona label: 78a1 # (-10,5) # # a-invariants: (1, 1, 0, -1299, 17325) # Cremona label: 78a2 # (22,-11) (75/4,-75/8) (-42,21) # # a-invariants: (1, 1, 0, -2339, -15747) # Cremona label: 78a3 # (-181/4,181/8) # # a-invariants: (1, 1, 0, -20739, 1140957) # Cremona label: 78a4 # (86,-95) (331/4,-331/8) (86,9) # # a-invariants: (1, 1, 1, -2, 0) # Cremona label: 79a1 # (0,-1) (0,0) (1,-2) (1,0) (-2,0) (-2,1) (3/4,-3/8) (3/4,-11/8) (-2/9,-32/27) (-2/9,11/27) (33,176) (33,-210) (16/121,-387/1331) (16/121,-1120/1331) (385/256,-13545/4096) (385/256,3289/4096) (-2064/1225,-38571/42875) (-2064/1225,67936/42875) (10465/16641,-1269554/2146689) (10465/16641,-2227120/2146689) (-49794/89401,-36404445/26730899) (-49794/89401,24561952/26730899) # # a-invariants: (0, 0, 0, -7, 6) # Cremona label: 80a1 # (1,0) (2,0) (-3,0) # # a-invariants: (0, 0, 0, -2, -1) # Cremona label: 80a2 # (-1,0) # # a-invariants: (0, 0, 0, -107, 426) # Cremona label: 80a3 # (5,4) (5,-4) (6,0) # # a-invariants: (0, 0, 0, 13, 34) # Cremona label: 80a4 # (3,-10) (-2,0) (3,10) # # a-invariants: (0, -1, 0, 4, -4) # Cremona label: 80b1 # (1,0) # # a-invariants: (0, -1, 0, -1, 0) # Cremona label: 80b2 # (0,0) # # a-invariants: (0, -1, 0, -36, 140) # Cremona label: 80b3 # (-7,0) # # a-invariants: (0, -1, 0, -41, 116) # Cremona label: 80b4 # (4,0) # # a-invariants: (1, 0, 1, -2, 0) # Cremona label: 82a1 # (1,-1) (-1,1) (0,-1) (-1,-1) (0,0) (3,3) (3,-7) (2,-4) (2,1) (1/9,-23/27) (-5/4,7/8) (-5/4,-5/8) (1/9,-7/27) (26/25,-91/125) (51,-391) (26/25,-164/125) (51,339) (-49/289,1457/4913) (-120/169,1968/2197) (-120/169,-2605/2197) (-49/289,-5537/4913) (3553/2401,12767/117649) (3553/2401,-304513/117649) (2977/576,119309/13824) (2977/576,-204581/13824) (-61201/43681,4599679/9129329) (-61201/43681,-937999/9129329) # # a-invariants: (1, 0, 1, -12, -16) # Cremona label: 82a2 # (-9/4,5/8) (-2,1) (-2,0) (8,16) (8,-25) (4,0) (4,-5) (-46/25,32/125) (-46/25,73/125) (333/16,-6725/64) (333/16,5329/64) (-77/36,221/216) (-77/36,25/216) (1276/25,-48841/125) (1276/25,42336/125) (-91802/48841,1196525/10793861) (-91802/48841,8297856/10793861) (7811329/1382976,11453376605/1626379776) (7811329/1382976,-22265879285/1626379776) # # a-invariants: (1, 1, 1, 1, 0) # Cremona label: 83a1 # (0,-1) (0,0) (1,-3) (1,1) (4,-12) (4,7) (-3/16,-21/64) (-3/16,-31/64) (76/9,-844/27) (76/9,589/27) (201/361,-14137/6859) (201/361,3459/6859) (760/4489,46120/300763) (760/4489,-397803/300763) (83281/1600,22629451/64000) (83281/1600,-26024691/64000) # # a-invariants: (0, 1, 0, 7, 0) # Cremona label: 84a1 # (7,-21) (0,0) (1,-3) (7,21) (1,3) # # a-invariants: (0, 1, 0, -28, -28) # Cremona label: 84a2 # (-1,0) (8,-18) (-4,-6) (8,18) (-4,6) # # a-invariants: (0, 1, 0, -113, -516) # Cremona label: 84a3 # (12,0) # # a-invariants: (0, 1, 0, -1828, -30700) # Cremona label: 84a4 # (-25,0) # # a-invariants: (0, -1, 0, -1, -2) # Cremona label: 84b1 # (2,0) # # a-invariants: (0, -1, 0, -36, -72) # Cremona label: 84b2 # (-3,0) # # a-invariants: (1, 1, 0, -8, -13) # Cremona label: 85a1 # (-2,1) # # a-invariants: (1, 1, 0, -3, -22) # Cremona label: 85a2 # (11/4,-11/8) # # a-invariants: (0, 0, 0, -4, 4) # Cremona label: 88a1 # (2,-2) (2,2) (0,2) (0,-2) (-2,-2) (-2,2) (1,-1) (1,1) (6,14) (6,-14) (8,22) (8,-22) (10/9,26/27) (10/9,-26/27) (-7/4,-19/8) (-7/4,19/8) (-6/25,-278/125) (-6/25,278/125) (88/49,554/343) (88/49,-554/343) (310,5458) (310,-5458) (273/121,-3383/1331) (273/121,3383/1331) (206/961,-52894/29791) (206/961,52894/29791) (-3344/1521,87326/59319) (-3344/1521,-87326/59319) (27105/5776,-4131247/438976) (27105/5776,4131247/438976) (-2280402/1555009,-5023772066/1939096223) (-2280402/1555009,5023772066/1939096223) # # a-invariants: (1, 1, 1, -1, 0) # Cremona label: 89a1 # (0,-1) (0,0) (-1,1) (-1,-1) (2,2) (2,-5) (3/4,-15/8) (3/4,1/8) (-14/9,22/27) (-14/9,-7/27) (15/49,-393/343) (15/49,-55/343) (224/25,2947/125) (224/25,-4192/125) (-415/1024,15455/32768) (-415/1024,-34943/32768) (68143/7569,-22227815/658503) (68143/7569,15640871/658503) (-8703421/5597956,10815129599/13244763896) (-8703421/5597956,-3467599409/13244763896) (2541600351/1274133025,90518784046991/45480178327375) (2541600351/1274133025,-226721386903311/45480178327375) # # a-invariants: (1, 1, 0, 4, 5) # Cremona label: 89b1 # (-5/4,5/8) # # a-invariants: (1, 1, 0, -1, 0) # Cremona label: 89b2 # (0,0) # # a-invariants: (1, -1, 0, 6, 0) # Cremona label: 90a1 # (0,0) (1,-3) (1,2) (6,12) (6,-18) # # a-invariants: (1, -1, 0, -24, 18) # Cremona label: 90a2 # (-3,-6) (-3,9) (3/4,-3/8) (7,-16) (7,9) # # a-invariants: (1, -1, 0, -69, -235) # Cremona label: 90a3 # (10,-5) # # a-invariants: (1, -1, 0, -1149, -14707) # Cremona label: 90a4 # (-77/4,77/8) # # a-invariants: (1, -1, 1, -8, 11) # Cremona label: 90b1 # (1,1) (1,-3) (3,1) (3,-5) (-3,1) # # a-invariants: (1, -1, 1, -128, 587) # Cremona label: 90b2 # (27/4,-31/8) (3,-17) (3,13) (7,-3) (7,-5) # # a-invariants: (1, -1, 1, 52, -53) # Cremona label: 90b3 # (1,-1) # # a-invariants: (1, -1, 1, -218, -269) # Cremona label: 90b4 # (-5/4,1/8) # # a-invariants: (1, -1, 1, 13, -61) # Cremona label: 90c1 # (9,-32) (9,22) (3,-2) # # a-invariants: (1, -1, 1, -167, -709) # Cremona label: 90c2 # (-21/4,17/8) (15,-8) (-9,4) # # a-invariants: (1, -1, 1, -122, 1721) # Cremona label: 90c3 # (9,31) (21,-101) (-9,-41) (9,-41) (-15,7) (81,679) (1,39) (1,-41) (81,-761) (21,79) (-9,49) # # a-invariants: (1, -1, 1, -2597, -50281) # Cremona label: 90c4 # (-117/4,113/8) # # a-invariants: (1, -1, 1, -617, 5231) # Cremona label: 90c5 # (75/4,-79/8) # # a-invariants: (1, -1, 1, -3002, 63929) # Cremona label: 90c6 # (37,-69) (-3,271) (123/4,-127/8) (-63,31) (27,31) (-3,-269) (87,-719) (37,31) (87,631) (33,-17) (27,-59) # # a-invariants: (1, -1, 1, -4082, 14681) # Cremona label: 90c7 # (91,579) (-261/4,257/8) (91,-671) (-9,-221) (-9,229) # # a-invariants: (1, -1, 1, -48002, 4059929) # Cremona label: 90c8 # (147,-479) (147,331) (127,-69) (127,-59) (507/4,-511/8) # # a-invariants: (0, 0, 1, 1, 0) # Cremona label: 91a1 # (0,-1) (0,0) (1,-2) (1,1) (3,5) (3,-6) (-2/9,-10/27) (-2/9,-17/27) (33/4,187/8) (33/4,-195/8) (58/121,-1885/1331) (58/121,554/1331) (231/841,5817/24389) (231/841,-30206/24389) (8845/441,828269/9261) (8845/441,-837530/9261) (-16044/93025,-6552021/28372625) (-16044/93025,-21820604/28372625) # # a-invariants: (0, 1, 1, -7, 5) # Cremona label: 91b1 # (1,-1) (1,0) (3,4) (5/4,-5/8) (-1,3) (5/4,-3/8) (-1,-4) (3,-5) (85/49,225/343) (-47/16,-225/64) (85/49,-568/343) (109/81,-568/729) (-47/16,161/64) (109/81,-161/729) (20901/17956,-759469/2406104) (4871/9025,-1616844/857375) (13691/961,1616844/29791) (4871/9025,759469/857375) (20901/17956,-1646635/2406104) (13691/961,-1646635/29791) (36469273/30813601,-111937825791/171046299151) (4846825/13417569,-108257028607/49148555247) (4846825/13417569,59108473360/49148555247) (36469273/30813601,-59108473360/171046299151) # # a-invariants: (0, 1, 1, 13, 42) # Cremona label: 91b2 # (0,-7) (0,6) (13/4,-95/8) (13/4,87/8) (-2,-4) (-2,3) (26,-137) (26,136) (-39/16,59/64) (12,45) (12,-46) (-39/16,-123/64) (52/9,487/27) (52/9,-514/27) (5/4,-67/8) (-26/25,607/125) (130,1488) (-26/25,-732/125) (130,-1489) (5/4,59/8) (5577/64,-419493/512) (264/169,-19323/2197) (-1352/1089,-200287/35937) (-1352/1089,164350/35937) (264/169,17126/2197) (5577/64,418981/512) (91117/13924,-35689713/1643032) (91117/13924,34046681/1643032) (19234/1849,-3026643/79507) (19234/1849,2947136/79507) (-117935/63504,54289439/16003008) (-117935/63504,-70292447/16003008) (2172528068261/155732836900,-3470735692254600941/61456849425847000) (2172528068261/155732836900,3409278842828753941/61456849425847000) # # a-invariants: (0, 1, 1, -117, -1245) # Cremona label: 91b3 # (15,-25) (15,24) (113,1200) (113,-1201) (109/4,1025/8) (109/4,-1033/8) (29,-144) (29,143) (99,983) (99,-984) (2209/144,-49913/1728) (2209/144,48185/1728) (24123,-3746761) (24123,3746760) (24725/1681,-1468176/68921) (24725/1681,1399255/68921) (13021/100,1485481/1000) (13021/100,-1486481/1000) (1030173169/11778624,-32990235293033/40424237568) (1030173169/11778624,32949811055465/40424237568) # # a-invariants: (0, 1, 0, 2, 1) # Cremona label: 92a1 # (0,-1) (0,1) # # a-invariants: (0, 1, 0, -18, -43) # Cremona label: 92a2 # # # a-invariants: (0, 0, 0, -1, 1) # Cremona label: 92b1 # (1,-1) (1,1) (-1,1) (-1,-1) (0,-1) (0,1) (3,5) (3,-5) (5,11) (5,-11) (1/4,-7/8) (1/4,7/8) (-11/9,-17/27) (-11/9,17/27) (19/25,-103/125) (19/25,103/125) (56,-419) (56,419) (159/121,1861/1331) (159/121,-1861/1331) (-255/361,-7981/6859) (-255/361,7981/6859) (-223/784,24655/21952) (-223/784,-24655/21952) (5665/2809,399083/148877) (5665/2809,-399083/148877) (26239/2601,-4231459/132651) (26239/2601,4231459/132651) # # a-invariants: (1, -1, 1, 0, -1) # Cremona label: 94a1 # (1,-1) # # a-invariants: (1, -1, 1, -10, -9) # Cremona label: 94a2 # (-5/4,1/8) # # a-invariants: (0, 1, 0, -2, 0) # Cremona label: 96a1 # (0,0) (1,0) (-2,0) # # a-invariants: (0, 1, 0, -17, -33) # Cremona label: 96a2 # (-3,0) # # a-invariants: (0, 1, 0, -32, 60) # Cremona label: 96a3 # (3,0) # # a-invariants: (0, 1, 0, 8, 8) # Cremona label: 96a4 # (-1,0) (2,-6) (2,6) # # a-invariants: (0, -1, 0, -2, 0) # Cremona label: 96b1 # (-1,0) (0,0) (2,0) # # a-invariants: (0, -1, 0, -32, -60) # Cremona label: 96b2 # (-3,0) # # a-invariants: (0, -1, 0, -17, 33) # Cremona label: 96b3 # (1,-4) (3,0) (1,4) # # a-invariants: (0, -1, 0, 8, -8) # Cremona label: 96b4 # (1,0) # # a-invariants: (1, 1, 0, -25, -111) # Cremona label: 98a1 # (6,-3) # # a-invariants: (1, 1, 0, -515, -4717) # Cremona label: 98a2 # (-53/4,53/8) # # a-invariants: (1, 1, 0, 220, 2192) # Cremona label: 98a3 # (-8,4) # # a-invariants: (1, 1, 0, -1740, 22184) # Cremona label: 98a4 # (59/4,-59/8) # # a-invariants: (1, 1, 0, -8355, 291341) # Cremona label: 98a5 # (-106,53) # # a-invariants: (1, 1, 0, -133795, 18781197) # Cremona label: 98a6 # (843/4,-843/8) # # a-invariants: (1, -1, 1, -2, 0) # Cremona label: 99a1 # (-1,0) (2,0) (2,-3) (0,-1) (0,0) (-1/4,-9/8) (3,2) (3,-6) (-1/4,3/8) (-8/9,13/27) (-8/9,-16/27) (26,-144) (26,117) (23/169,-840/2197) (23/169,-1656/2197) (105/64,-455/512) (105/64,-897/512) (-696/1225,-44528/42875) (-696/1225,26013/42875) (3146/529,118755/12167) (3146/529,-203280/12167) (50995/7569,8109662/658503) (50995/7569,-13204730/658503) (-35857/58564,-14241465/14172488) (-35857/58564,8746371/14172488) (307632/2122849,-1334055008/3092990993) (307632/2122849,-2207155809/3092990993) (252307233/12503296,-4393229474583/44211654656) (252307233/12503296,3456859444039/44211654656) # # a-invariants: (1, -1, 1, -17, 30) # Cremona label: 99a2 # (11/4,-15/8) (2,0) (2,-3) (0,-6) (0,5) (3,-1) (3,-3) (11,27) (11,-39) (-4,-3) (22/9,-41/27) (22/9,-52/27) (-4,6) (15/4,-45/8) (15/4,7/8) (77/16,-615/64) (77/16,243/64) (116/49,-405/343) (-66/25,988/125) (116/49,-750/343) (-66/25,-783/125) (235/9,-3875/27) (2387/841,-34827/24389) (2387/841,-58785/24389) (235/9,3143/27) (3432/2209,133246/103823) (3432/2209,-398373/103823) (986/961,-140088/29791) (986/961,79731/29791) (30033/10816,-2400789/1124864) (92411/1156,26333829/39304) (92411/1156,-29515107/39304) (30033/10816,-1847507/1124864) (920920/408321,-207379090/260917119) (920920/408321,-642005909/260917119) (4133691/648025,-8399129829/521660125) (4133691/648025,4549848449/521660125) (3158340463/443270916,105556039952161/9332625865464) (3158340463/443270916,-181384365925627/9332625865464) # # a-invariants: (1, -1, 1, -59, 186) # Cremona label: 99b1 # (8,-18) (8,9) (5,-3) # # a-invariants: (1, -1, 1, -104, -102) # Cremona label: 99b2 # (-1,0) (11,-6) (-37/4,33/8) # # a-invariants: (1, -1, 1, -1319, -18084) # Cremona label: 99b3 # (-85/4,81/8) # # a-invariants: (1, -1, 1, 391, -1092) # Cremona label: 99b4 # (11/4,-15/8) # # a-invariants: (1, -1, 0, -15, 8) # Cremona label: 99c1 # (4,-2) # # a-invariants: (1, -1, 0, -150, -667) # Cremona label: 99c2 # (-29/4,29/8) # # a-invariants: (0, 0, 1, -3, -5) # Cremona label: 99d1 # # # a-invariants: (0, 0, 1, -93, 625) # Cremona label: 99d2 # # # a-invariants: (0, 0, 1, -70383, 7187035) # Cremona label: 99d3 # # # a-invariants: (0, -1, 0, -33, 62) # Cremona label: 100a1 # (2,0) # # a-invariants: (0, -1, 0, 92, 312) # Cremona label: 100a2 # (-3,0) # # a-invariants: (0, -1, 0, -1033, -12438) # Cremona label: 100a3 # (-18,0) # # a-invariants: (0, -1, 0, -908, -15688) # Cremona label: 100a4 # (37,0) # # a-invariants: (0, 1, 1, -1, -1) # Cremona label: 101a1 # (-1,0) (-1,-1) (1,-1) (1,0) (-3/4,-7/8) (-3/4,-1/8) (13,48) (13,-49) (-61/49,-288/343) (-61/49,-55/343) (241/144,3025/1728) (241/144,-4753/1728) (-1861/3025,-65863/166375) (-1861/3025,-100512/166375) # # a-invariants: (1, 1, 0, -2, 0) # Cremona label: 102a1 # (0,0) (-1,-1) (2,2) (-1,2) (2,-4) (-2,0) (-2,2) (1,0) (1,-1) (8,-28) (8,20) (-1/4,-5/8) (-1/4,7/8) (-2/9,-16/27) (9,-33) (-2/9,22/27) (9,24) (-49/25,-14/125) (50/49,-370/343) (50/49,20/343) (-49/25,259/125) (121/64,913/512) (-128/121,-1328/1331) (121/64,-1881/512) (-128/121,2736/1331) (-1/1369,1955/50653) (2738,141932) (-1/1369,-1918/50653) (2738,-144670) (6889/3249,-808088/185193) (6889/3249,415415/185193) (150152/152881,-55333204/59776471) (150152/152881,-3376228/59776471) (1481089/207025,1583902377/94196375) (1481089/207025,-2257797872/94196375) (-999223808/521345889,25414029761120/11903890683537) (-999223808/521345889,-2598752553056/11903890683537) # # a-invariants: (1, 1, 0, 8, 10) # Cremona label: 102a2 # (-5/4,5/8) (1,4) (3,-10) (3,7) (1,-5) (37,-248) (37,211) (-1,2) (-1,-1) (31/4,167/8) (-3/16,193/64) (31/4,-229/8) (-3/16,-181/64) (-107/361,20065/6859) (79/9,670/27) (79/9,-907/27) (-107/361,-18032/6859) (-1151/1225,91337/42875) (-1151/1225,-51052/42875) (4995/169,-394525/2197) (4995/169,329590/2197) (6449/7744,-3183547/681472) (6449/7744,2616035/681472) (3748321/1369,7189283551/50653) (3748321/1369,-7327971428/50653) # # a-invariants: (1, 0, 0, -34, 68) # Cremona label: 102b1 # (8,-22) (-4,-10) (-4,14) (2,2) (8,14) (2,-4) (4,-2) # # a-invariants: (1, 0, 0, -114, -396) # Cremona label: 102b2 # (12,-6) (30,138) (-6,-6) (-6,12) (-33/4,33/8) (30,-168) (-4,2) # # a-invariants: (1, 0, 0, -1734, -27936) # Cremona label: 102b3 # (-97/4,97/8) (-24,12) (48,-24) # # a-invariants: (1, 0, 0, 226, -2232) # Cremona label: 102b4 # (28,148) (31/4,-31/8) (28,-176) # # a-invariants: (1, 0, 0, -27744, -1781010) # Cremona label: 102b5 # (-385/4,385/8) # # a-invariants: (1, 0, 0, -1644, -30942) # Cremona label: 102b6 # (191/4,-191/8) # # a-invariants: (1, 0, 1, -256, 1550) # Cremona label: 102c1 # (1,-37) (10,-10) (9,-5) (10,-1) (1,35) # # a-invariants: (1, 0, 1, -216, 2062) # Cremona label: 102c2 # (-73/4,69/8) (2,-42) (2,39) (20,-87) (20,66) # # a-invariants: (1, 0, 1, -751, -6046) # Cremona label: 102c3 # (-9,4) # # a-invariants: (1, 0, 1, 1809, -37790) # Cremona label: 102c4 # (71/4,-75/8) # # a-invariants: (0, 1, 0, -16, -32) # Cremona label: 104a1 # # # a-invariants: (1, 0, 1, -3, 1) # Cremona label: 105a1 # (1,-1) # # a-invariants: (1, 0, 1, -8, -7) # Cremona label: 105a2 # (-1,0) (3,-2) (-9/4,5/8) # # a-invariants: (1, 0, 1, -113, -469) # Cremona label: 105a3 # (-25/4,21/8) # # a-invariants: (1, 0, 1, 17, -37) # Cremona label: 105a4 # (7/4,-11/8) (7,-25) (7,17) # # a-invariants: (1, 0, 0, 1, 1) # Cremona label: 106a1 # (0,-1) (0,1) # # a-invariants: (1, 0, 0, -9, -29) # Cremona label: 106a2 # # # a-invariants: (1, 1, 0, -7, 5) # Cremona label: 106b1 # (2,-3) (2,1) (1,-1) (1,0) (-2,-3) (-2,5) (-1,4) (-1,-3) (10/9,-5/27) (10/9,-25/27) (11/4,-43/8) (11/4,21/8) (58,417) (58,-475) (79/49,-645/343) (79/49,92/343) (302/361,-8201/6859) (302/361,2463/6859) (-671/225,-5888/3375) (-671/225,15953/3375) (-718/3481,-501961/205379) (-718/3481,544323/205379) (19729/16384,-508217/2097152) (19729/16384,-2017095/2097152) (211858/48841,-119816315/10793861) (211858/48841,72995697/10793861) (15319439/26615281,-211875449892/137308234679) (15319439/26615281,132842464091/137308234679) (875661931/2565827716,-239518038973829/129969437126264) (875661931/2565827716,195162259520955/129969437126264) # # a-invariants: (1, 0, 0, -283, -2351) # Cremona label: 106c1 # (30,113) (30,-143) # # a-invariants: (1, 0, 0, -24603, -1487407) # Cremona label: 106c2 # # # a-invariants: (1, 1, 0, -27, -67) # Cremona label: 106d1 # # # a-invariants: (0, 0, 0, 0, 4) # Cremona label: 108a1 # (0,-2) (0,2) # # a-invariants: (0, 0, 0, 0, -108) # Cremona label: 108a2 # # # a-invariants: (1, -1, 0, -8, -7) # Cremona label: 109a1 # # # a-invariants: (1, 1, 1, 10, -45) # Cremona label: 110a1 # (3,3) (13,43) (13,-57) (3,-7) # # a-invariants: (1, 1, 1, -5940, -178685) # Cremona label: 110a2 # # # a-invariants: (1, 0, 0, -1, 1) # Cremona label: 110b1 # (0,-1) (0,1) # # a-invariants: (1, 0, 0, 9, -25) # Cremona label: 110b2 # # # a-invariants: (1, 0, 1, -89, 316) # Cremona label: 110c1 # (4,3) (4,-8) # # a-invariants: (1, 0, 1, 296, 1702) # Cremona label: 110c2 # # # a-invariants: (0, 1, 0, 0, 4) # Cremona label: 112a1 # (-2,0) (2,4) (2,-4) (0,2) (0,-2) (-1,2) (-1,-2) (6,16) (6,-16) (16,-66) (16,66) (-14/9,-44/27) (-14/9,44/27) (30/49,736/343) (30/49,-736/343) (17/16,161/64) (17/16,-161/64) (1106/25,37196/125) (1106/25,-37196/125) (-528/289,5470/4913) (-528/289,-5470/4913) (4063/1089,300358/35937) (4063/1089,-300358/35937) (-55774/142129,-108411356/53582633) (-55774/142129,108411356/53582633) (-3193279/1658944,1617598849/2136719872) (-3193279/1658944,-1617598849/2136719872) # # a-invariants: (0, 1, 0, -40, 84) # Cremona label: 112a2 # (3,0) (2,4) (10,-28) (2,-4) (10,28) (-4,-14) (4,2) (-4,14) (4,-2) (-6,12) (34/9,28/27) (-6,-12) (34/9,-28/27) (5/4,-49/8) (7,14) (7,-14) (5/4,49/8) (74/25,68/125) (178,2380) (74/25,-68/125) (178,-2380) (148/9,-1738/27) (300/121,-3318/1331) (148/9,1738/27) (300/121,3318/1331) (3706/841,-86996/24389) (-334/169,27724/2197) (3706/841,86996/24389) (-334/169,-27724/2197) (2881/784,8119/21952) (-3901/529,-69188/12167) (-3901/529,69188/12167) (2881/784,-8119/21952) (159130/29241,-37784908/5000211) (159130/29241,37784908/5000211) (320884/7225,-182060198/614125) (320884/7225,182060198/614125) (6375338/2301289,5086670692/3491055413) (6375338/2301289,-5086670692/3491055413) # # a-invariants: (0, 0, 0, 1, -2) # Cremona label: 112b1 # (1,0) # # a-invariants: (0, 0, 0, -19, -30) # Cremona label: 112b2 # (-2,0) (-3,0) (5,0) # # a-invariants: (0, 0, 0, -299, -1990) # Cremona label: 112b3 # (-10,0) # # a-invariants: (0, 0, 0, -59, 138) # Cremona label: 112b4 # (-1,-14) (-1,14) (6,0) # # a-invariants: (0, -1, 0, -8, -16) # Cremona label: 112c1 # (4,0) # # a-invariants: (0, -1, 0, -168, -784) # Cremona label: 112c2 # (-7,0) # # a-invariants: (0, -1, 0, 72, 368) # Cremona label: 112c3 # (-4,0) # # a-invariants: (0, -1, 0, -568, 4464) # Cremona label: 112c4 # (9,0) # # a-invariants: (0, -1, 0, -2728, 55920) # Cremona label: 112c5 # (-60,0) # # a-invariants: (0, -1, 0, -43688, 3529328) # Cremona label: 112c6 # (121,0) # # a-invariants: (1, 1, 1, 3, -4) # Cremona label: 113a1 # (3/4,-7/8) # # a-invariants: (1, 1, 1, -2, -2) # Cremona label: 113a2 # (-1,0) # # a-invariants: (1, 0, 0, -8, 0) # Cremona label: 114a1 # (0,0) (4,-8) (-2,-2) (-2,4) (4,4) # # a-invariants: (1, 0, 0, 32, 8) # Cremona label: 114a2 # (14,-64) (-1/4,1/8) (14,50) (2,8) (2,-10) # # a-invariants: (1, 0, 0, -428, -3444) # Cremona label: 114a3 # (-12,6) # # a-invariants: (1, 0, 0, -418, -3610) # Cremona label: 114a4 # (95/4,-95/8) # # a-invariants: (1, 1, 0, -95, -399) # Cremona label: 114b1 # (-6,3) # # a-invariants: (1, 1, 0, -85, -473) # Cremona label: 114b2 # (43/4,-43/8) # # a-invariants: (1, 1, 1, -352, -2431) # Cremona label: 114c1 # (-11,-11) (21,-11) (-11,21) # # a-invariants: (1, 1, 1, -5472, -158079) # Cremona label: 114c2 # (-43,21) (-173/4,169/8) (85,-43) # # a-invariants: (1, 1, 1, -87552, -10007679) # Cremona label: 114c3 # (-685/4,681/8) # # a-invariants: (1, 1, 1, -5312, -167551) # Cremona label: 114c4 # (339/4,-343/8) # # a-invariants: (0, 0, 1, 7, -11) # Cremona label: 115a1 # # # a-invariants: (0, 0, 0, -4831, -129242) # Cremona label: 116a1 # # # a-invariants: (0, 1, 0, -4, 4) # Cremona label: 116b1 # (0,-2) (0,2) # # a-invariants: (0, 1, 0, 36, -76) # Cremona label: 116b2 # # # a-invariants: (0, -1, 0, -4, 24) # Cremona label: 116c1 # (-3,0) # # a-invariants: (0, -1, 0, -9, 14) # Cremona label: 116c2 # (2,0) # # a-invariants: (1, -1, 1, 4, 6) # Cremona label: 117a1 # (2,3) (-1,0) (2,-6) (-1/4,15/8) (-1/4,-21/8) (8,-27) (11,30) (0,2) (0,-3) (8,18) (11,-42) (39/25,-648/125) (161/64,1845/512) (362,6699) (161/64,-3645/512) (362,-7062) (-118/121,-642/1331) (-118/121,609/1331) (39/25,328/125) (84359/13924,-30627915/1643032) (-12232/25921,7091253/4173281) (-12232/25921,-9295182/4173281) (84359/13924,19030521/1643032) (24400/1521,-4263602/59319) (24400/1521,3252683/59319) (-21476559/23814400,101334598849/116214272000) (-21476559/23814400,-112743262929/116214272000) # # a-invariants: (1, -1, 1, -41, 96) # Cremona label: 117a2 # (5,-3) (-7,3) (11/4,-15/8) (32,159) (2,3) (6,-10) (-4,15) (6,3) (-4,-12) (2,-6) (32,-192) (-19/25,-1419/125) (9,15) (47/4,219/8) (5/16,-627/64) (5/16,543/64) (47/4,-321/8) (9,-25) (-19/25,1389/125) (574/9,12730/27) (574/9,-14479/27) (-262/49,-3291/343) (2888/529,-87207/12167) (404/169,-10245/2197) (404/169,2796/2197) (-262/49,4782/343) (2888/529,8616/12167) (43805/121,-9398913/1331) (8121/1600,-101151/64000) (8121/1600,-287689/64000) (43805/121,8915727/1331) (-99469/14884,15893265/1815848) (-99469/14884,-5573895/1815848) (4723374/243049,8335815030/119823157) (-1272022/494209,-4368013539/347428927) (4723374/243049,-10784261569/119823157) (-1272022/494209,4914816078/347428927) (653293369/39425841,13022979261865/247554855639) (653293369/39425841,-17372563181455/247554855639) # # a-invariants: (1, -1, 1, -176, -768) # Cremona label: 117a3 # (-37/4,33/8) (20,-69) (20,48) (-6,9) (-6,-4) (33,152) (-7,-6) (-7,12) (33,-186) (-80/9,256/27) (254,-4164) (254,3909) (-80/9,-43/27) (-2179/400,34521/8000) (63/4,43/8) (-2179/400,1059/8000) (63/4,-177/8) (-6840/841,-119981/24389) (-6840/841,293952/24389) (21926/289,-3366372/4913) (21926/289,2988717/4913) (305833/4761,-174947834/328509) (305833/4761,153516848/328509) (-65887/8281,-4010586/753571) (-65887/8281,9252732/753571) (70102641/193600,-601409511981/85184000) (70102641/193600,570479165941/85184000) # # a-invariants: (1, -1, 1, -626, 6180) # Cremona label: 117a4 # (59/4,-63/8) (8,-45) (14,-12) (14,-3) (8,36) (15,-6) (35,-180) (35,144) (15,-10) (-22,-84) (716/49,-2799/343) (-22,105) (716/49,-2556/343) (261/16,141/64) (261/16,-1249/64) (1799/100,13023/1000) (1799/100,-32013/1000) (19922/1369,-351732/50653) (-3916/361,-704988/6859) (-3916/361,772533/6859) (19922/1369,-436035/50653) (28855/441,-4864966/9261) (1327595/89401,-185914260/26730899) (1327595/89401,-237767544/26730899) (28855/441,4249750/9261) (23672672/1776889,-37948245948/2368593037) (23672672/1776889,4023981135/2368593037) (652564619/1800964,16174935506187/2416893688) (652564619/1800964,-17053094118573/2416893688) (2865989288775/120117003241,2247824006882862570/41630030866262539) (2865989288775/120117003241,-3282745739463475834/41630030866262539) # # a-invariants: (1, 1, 0, 1, 1) # Cremona label: 118a1 # (0,-1) (0,1) (-1,0) (-1,1) (2,3) (2,-5) (3,5) (3,-8) (-8/9,29/27) (-8/9,-5/27) (-3/16,-53/64) (-3/16,65/64) (104,1015) (104,-1119) (35/169,2248/2197) (35/169,-2703/2197) (-1326/1225,8737/42875) (-1326/1225,37673/42875) (3535/2601,-445549/132651) (3535/2601,265264/132651) (-168367/222784,116038515/105154048) (-168367/222784,-36569291/105154048) # # a-invariants: (1, 1, 1, -25, 39) # Cremona label: 118b1 # (-1,8) (3,-4) (-1,-8) (3,0) # # a-invariants: (1, 1, 1, 115, -2481) # Cremona label: 118b2 # # # a-invariants: (1, 1, 1, -4, -5) # Cremona label: 118c1 # # # a-invariants: (1, 1, 0, 56, -192) # Cremona label: 118d1 # # # a-invariants: (0, 1, 0, -15, 18) # Cremona label: 120a1 # (3,-3) (2,0) (3,3) # # a-invariants: (0, 1, 0, -20, 0) # Cremona label: 120a2 # (10,30) (-5,0) (4,0) (0,0) (-2,6) (10,-30) (-2,-6) # # a-invariants: (0, 1, 0, -200, -1152) # Cremona label: 120a3 # (-9,0) (16,0) (-8,0) # # a-invariants: (0, 1, 0, 80, 80) # Cremona label: 120a4 # (-1,0) (8,-36) (8,36) # # a-invariants: (0, 1, 0, -3200, -70752) # Cremona label: 120a5 # (-33,0) # # a-invariants: (0, 1, 0, -80, -2400) # Cremona label: 120a6 # (15,0) # # a-invariants: (0, 1, 0, 4, 0) # Cremona label: 120b1 # (0,0) # # a-invariants: (0, 1, 0, -16, -16) # Cremona label: 120b2 # (-1,0) (-4,0) (4,0) # # a-invariants: (0, 1, 0, -216, -1296) # Cremona label: 120b3 # (-9,0) # # a-invariants: (0, 1, 0, -136, 560) # Cremona label: 120b4 # (7,0) # # a-invariants: (1, 1, 1, -30, -76) # Cremona label: 121a1 # # # a-invariants: (1, 1, 1, -305, 7888) # Cremona label: 121a2 # # # a-invariants: (0, -1, 1, -7, 10) # Cremona label: 121b1 # (4,-6) (4,5) (2,0) (2,-1) (5/4,7/8) (5/4,-15/8) (-2,-4) (-2,3) (-8/9,-118/27) (-8/9,91/27) (25/16,21/64) (25/16,-85/64) (368/169,590/2197) (368/169,-2787/2197) (326/49,-5188/343) (326/49,4845/343) (4789/100,326937/1000) (4789/100,-327937/1000) (9466/3249,-549928/185193) (9466/3249,364735/185193) (132065/179776,-207951055/76225024) (132065/179776,131726031/76225024) (2411156245/1373591844,1958663553047/50908060922328) (2411156245/1373591844,-52866724475375/50908060922328) # # a-invariants: (0, -1, 1, -887, -10143) # Cremona label: 121b2 # (81,665) (81,-666) (35,21) (35,-22) (228629/2116,-104144847/97336) (228629/2116,104047511/97336) (7259943/1849,-19558378858/79507) (7259943/1849,19558299351/79507) # # a-invariants: (1, 1, 0, -2, -7) # Cremona label: 121c1 # # # a-invariants: (1, 1, 0, -3632, 82757) # Cremona label: 121c2 # # # a-invariants: (0, -1, 1, -40, -221) # Cremona label: 121d1 # # # a-invariants: (0, -1, 1, -1250, 31239) # Cremona label: 121d2 # # # a-invariants: (0, -1, 1, -946260, 354609639) # Cremona label: 121d3 # # # a-invariants: (1, 0, 1, 2, 0) # Cremona label: 122a1 # (1,-3) (1,1) (0,-1) (0,0) (5,-15) (5,9) (6,-19) (6,12) (1/25,-139/125) (1/25,9/125) (31/36,-589/216) (31/36,187/216) (745,19965) (745,-20711) (1110/961,34595/29791) (1110/961,-98796/29791) (144336/34225,-76665696/6331625) (144336/34225,43631911/6331625) # # a-invariants: (0, 1, 1, -10, 10) # Cremona label: 123a1 # (-1,-5) (2,-2) (-1,4) (2,1) (-4,1) (8,22) (5/4,-13/8) (1,-2) (8,-23) (5,10) (-4,-2) (5/4,5/8) (5,-11) (1,1) (107,1111) (107,-1112) (86/49,202/343) (59/25,227/125) (86/49,-545/343) (-31/16,-359/64) (-2/9,-109/27) (-31/16,295/64) (59/25,-352/125) (-2/9,82/27) (3197/2209,-150589/103823) (1840/121,79259/1331) (-4735/1369,-224258/50653) (4061/1156,198529/39304) (1844/2809,237821/148877) (1844/2809,-386698/148877) (-4735/1369,173605/50653) (4061/1156,-237833/39304) (1840/121,-80590/1331) (3197/2209,46766/103823) (1620986/61009,2080908727/15069223) (1620986/61009,-2095977950/15069223) # # a-invariants: (0, 1, 1, 20, -890) # Cremona label: 123a2 # (16,61) (16,-62) (103/9,827/27) (103/9,-854/27) (385,7564) (385,-7565) (226/9,3410/27) (226/9,-3437/27) (37/4,101/8) (37/4,-109/8) (7774/81,-689759/729) (7774/81,689030/729) (18866929/176400,-82411435567/74088000) (18866929/176400,82337347567/74088000) (18256386727459717/1188212474729764,2325513636334853395580579/40958228205248391311912) (18256386727459717/1188212474729764,-2366471864540101786892491/40958228205248391311912) # # a-invariants: (0, -1, 1, 1, -1) # Cremona label: 123b1 # (1,-1) (1,0) (3,-5) (3,4) (13/4,-45/8) (13/4,37/8) (79/81,-692/729) (79/81,-37/729) (1477,-56745) (1477,56744) (27633/26896,235841/4410944) (27633/26896,-4646785/4410944) (1509949/543169,1390282695/400315553) (1509949/543169,-1790598248/400315553) # # a-invariants: (0, 1, 0, -2, 1) # Cremona label: 124a1 # (0,-1) (0,1) (-2,1) (2,-3) (-2,-1) (2,3) (1,-1) (1,1) (12,43) (12,-43) (-3/4,13/8) (4/9,17/27) (-3/4,-13/8) (4/9,-17/27) (-55/49,-603/343) (154/25,-2017/125) (70/121,-811/1331) (70/121,811/1331) (-55/49,603/343) (154/25,2017/125) (5304/1849,413867/79507) (5304/1849,-413867/79507) (2193/2704,-106079/140608) (2193/2704,106079/140608) (-4472/2601,-201709/132651) (-4472/2601,201709/132651) (89968285/71267364,-867844189043/601639086888) (89968285/71267364,867844189043/601639086888) (-183073172255679/121709789870656,-2273786283344333047681/1342728691167689053696) (-183073172255679/121709789870656,2273786283344333047681/1342728691167689053696) # # a-invariants: (0, 1, 0, 18, -11) # Cremona label: 124a2 # (9,31) (9,-31) (5/4,-31/8) (5/4,31/8) (1,-3) (1,3) (113/16,-1457/64) (113/16,1457/64) (753,-20677) (753,20677) (421/36,9503/216) (421/36,-9503/216) (114689/141376,116391391/53157376) (114689/141376,-116391391/53157376) (832441/148225,-986379561/57066625) (832441/148225,986379561/57066625) (334525349/1779556,-6136281464191/2373927704) (334525349/1779556,6136281464191/2373927704) (25491626161/13004209296,8855549037715537/1482948011278656) (25491626161/13004209296,-8855549037715537/1482948011278656) # # a-invariants: (0, 0, 0, -17, -27) # Cremona label: 124b1 # # # a-invariants: (1, -1, 1, -5, -7) # Cremona label: 126a1 # (3,-2) # # a-invariants: (1, -1, 1, -95, -331) # Cremona label: 126a2 # (-21/4,17/8) # # a-invariants: (1, -1, 1, 40, 155) # Cremona label: 126a3 # (1,-15) (15,55) (-3,1) (15,-71) (1,13) # # a-invariants: (1, -1, 1, -320, 1883) # Cremona label: 126a4 # (27/4,-31/8) (-9,67) (19,-59) (19,39) (-9,-59) # # a-invariants: (1, -1, 1, -1535, 23591) # Cremona label: 126a5 # (-45,22) (19,22) (27,22) (27,-50) (19,-42) # # a-invariants: (1, -1, 1, -24575, 1488935) # Cremona label: 126a6 # (91,-50) (363/4,-367/8) (75,-290) (75,214) (91,-42) # # a-invariants: (1, -1, 0, -36, -176) # Cremona label: 126b1 # (8,-4) # # a-invariants: (1, -1, 0, -756, -7808) # Cremona label: 126b2 # (32,-16) (-16,8) (-61/4,61/8) # # a-invariants: (1, -1, 0, -12096, -509036) # Cremona label: 126b3 # (-253/4,253/8) # # a-invariants: (1, -1, 0, -936, -3668) # Cremona label: 126b4 # (131/4,-131/8) (-4,2) (-28,14) # # a-invariants: (1, -1, 0, -8226, 286474) # Cremona label: 126b5 # (227/4,-227/8) # # a-invariants: (1, -1, 0, 3474, -31010) # Cremona label: 126b6 # (35/4,-35/8) # # a-invariants: (0, 1, 0, 1, 1) # Cremona label: 128a1 # (-1,0) (1,-2) (0,-1) (1,2) (0,1) (-3/4,-5/8) (7,-20) (-3/4,5/8) (7,20) (-31/49,246/343) (40/9,287/27) (40/9,-287/27) (-31/49,-246/343) (561/400,21359/8000) (561/400,-21359/8000) (-161/961,27560/29791) (-161/961,-27560/29791) (-34440/34969,1128863/6539203) (69409/529,-18356294/12167) (69409/529,18356294/12167) (-34440/34969,-1128863/6539203) (2047837/2965284,8068650715/5106219048) (2047837/2965284,-8068650715/5106219048) (-365693412159/729931009600,492722672524868161/623623857361856000) (-365693412159/729931009600,-492722672524868161/623623857361856000) # # a-invariants: (0, 1, 0, -9, 7) # Cremona label: 128a2 # (1,0) (3,-4) (3,4) (-1,4) (-1,-4) (-3,4) (2,-1) (-3,-4) (2,1) (7/9,-28/27) (7/9,28/27) (19,-84) (19,84) (29/4,-155/8) (29/4,155/8) (9/25,248/125) (9/25,-248/125) (-457/121,1564/1331) (531/289,-1012/4913) (531/289,1012/4913) (-457/121,-1564/1331) (2122/441,91799/9261) (-83/1681,-188076/68921) (2122/441,-91799/9261) (-83/1681,188076/68921) (110787/2209,37176548/103823) (110787/2209,-37176548/103823) (-1062879/474721,-1496732080/327082769) (859121/384400,415825969/238328000) (859121/384400,-415825969/238328000) (-1062879/474721,1496732080/327082769) (2427443162/18498601,120021797917561/79562482901) (2427443162/18498601,-120021797917561/79562482901) # # a-invariants: (0, 1, 0, 3, -5) # Cremona label: 128b1 # (1,0) # # a-invariants: (0, 1, 0, -2, -2) # Cremona label: 128b2 # (-1,0) # # a-invariants: (0, -1, 0, 1, -1) # Cremona label: 128c1 # (1,0) # # a-invariants: (0, -1, 0, -9, -7) # Cremona label: 128c2 # (-1,0) # # a-invariants: (0, -1, 0, 3, 5) # Cremona label: 128d1 # (-1,0) # # a-invariants: (0, -1, 0, -2, 2) # Cremona label: 128d2 # (1,0) # # a-invariants: (0, -1, 1, -19, 39) # Cremona label: 129a1 # (1,4) (1,-5) (3,-1) (3,0) (13/4,-13/8) (13/4,5/8) (-1,-8) (-1,7) (37,-221) (37,220) (33/16,-169/64) (33/16,105/64) (829/289,-733/4913) (829/289,-4180/4913) (871/225,8281/3375) (871/225,-11656/3375) (-5171/1444,354875/54872) (-5171/1444,-409747/54872) (23643/2401,3076095/117649) (23643/2401,-3193744/117649) (795817/312481,-252478004/174676879) (795817/312481,77801125/174676879) # # a-invariants: (1, 0, 1, -30, -29) # Cremona label: 129b1 # (-1,0) (-5,2) (23/4,-27/8) # # a-invariants: (1, 0, 1, -25, -49) # Cremona label: 129b2 # (-3,1) # # a-invariants: (1, 0, 1, -245, 1433) # Cremona label: 129b3 # (3,25) (3,-29) (39/4,-43/8) # # a-invariants: (1, 0, 1, 105, -191) # Cremona label: 129b4 # (7/4,-11/8) # # a-invariants: (1, 0, 1, -33, 68) # Cremona label: 130a1 # (4,0) (-1,-10) (3,-2) (4,-5) (-1,10) (7,10) (11/4,-5/8) (19,70) (-6,-5) (31/9,-70/27) (2,2) (2,-5) (7,-18) (31/9,-50/27) (11/4,-25/8) (-6,10) (19,-90) (316/9,-6055/27) (251/169,-13450/2197) (172/49,-1016/343) (831/289,-5590/4913) (361/64,-6055/512) (-121/25,1598/125) (172/49,-531/343) (251/169,7990/2197) (316/9,5080/27) (-121/25,-1118/125) (831/289,-13450/4913) (361/64,2655/512) (109627/29241,-3788270/5000211) (109627/29241,-19958158/5000211) (-12813/5476,-4399225/405224) (219679/841,99790790/24389) (219679/841,-106185870/24389) (280831/64009,18941350/16194277) (-12813/5476,4942163/405224) (280831/64009,-106185870/16194277) (663438409/194212096,-6232501831005/2706539769856) (663438409/194212096,-5719715606675/2706539769856) # # a-invariants: (1, 0, 1, -13, 156) # Cremona label: 130a2 # (-25/4,21/8) (0,12) (0,-13) (10,-38) (10,27) (5,12) (-5,-8) (-5,12) (25,-138) (75,612) (25/9,274/27) (25,112) (-3,14) (25/9,-376/27) (-3,-12) (5,-18) (75,-688) (-50/9,274/27) (-50/9,-151/27) (100/49,3541/343) (75/4,571/8) (75/4,-729/8) (6,14) (6,-21) (-35/16,-807/64) (140,-1728) (-35/16,883/64) (140,1587) (100/49,-4584/343) (275/361,-89292/6859) (667/81,14912/729) (-95/121,16992/1331) (-5175/841,-12882/24389) (1045,33262) (1045,-34308) (-95/121,-17278/1331) (6525/529,451554/12167) (275/361,77208/6859) (667/81,-21644/729) (6525/529,-613796/12167) (-5175/841,138568/24389) (91000/2601,25072412/132651) (44625/10816,12173643/1124864) (63535/17956,24922923/2406104) (-5304/1225,-424724/42875) (91000/2601,-29846063/132651) (-5304/1225,567489/42875) (44625/10816,-17939507/1124864) (63535/17956,-35842717/2406104) (-21325475/3575881,52296907252/6761990971) (-21325475/3575881,-18732424998/6761990971) (-254718629/160123716,-26032166849339/2026205502264) (-254718629/160123716,27229170878441/2026205502264) # # a-invariants: (1, 0, 1, -208, -1122) # Cremona label: 130a3 # (-7,3) (57,387) (57,-445) (-8,10) (-8,-3) (-239/25,951/125) (18,-42) (18,23) (-239/25,119/125) (-37/4,75/8) (-37/4,-9/8) (193/9,-2095/27) (193/9,1489/27) (2634/25,127363/125) (-21263/2809,1298151/148877) (-21263/2809,-320089/148877) (2634/25,-140658/125) (753657/961,-665965155/29791) (753657/961,642571997/29791) (-10353511/1221025,14199618003/1349232625) (1023457/28224,852421541/4741632) (-10353511/1221025,-4108220973/1349232625) (1023457/28224,-1029103949/4741632) (411385154107393/1574088909129,-8594078143443093118799/1974894445793789883) (411385154107393/1574088909129,8075968327255003171505/1974894445793789883) # # a-invariants: (1, 0, 1, 112, -4194) # Cremona label: 130a4 # (55/4,-59/8) (225,3267) (225,-3493) (17,43) (17,-61) (30,-178) (56,394) (56,-451) (30,147) (25,-133) (673/9,16553/27) (673/9,-18599/27) (25,107) (386/25,-5506/125) (386/25,3451/125) (420,8402) (420,-8823) (13425/961,-591403/29791) (13425/961,145437/29791) (3137,-177277) (3137,174139) (691/36,-17651/216) (691/36,13289/216) (109645/784,-37961281/21952) (109645/784,34869269/21952) (7358906/70225,-21036581066/18609625) (7358906/70225,19067861351/18609625) (519486913/36036009,3051166225753/216324162027) (519486913/36036009,-6385970326519/216324162027) (45645625/43681,303666571003/9129329) (45645625/43681,-313215635957/9129329) (1198684556161/34462209600,-1427172988306216061/6397564590144000) (1198684556161/34462209600,1198251622710344021/6397564590144000) # # a-invariants: (1, -1, 1, -7, -1) # Cremona label: 130b1 # (-1,2) (3,-2) (-1,-2) # # a-invariants: (1, -1, 1, -87, -289) # Cremona label: 130b2 # (11,-6) (-21/4,17/8) (-5,2) # # a-invariants: (1, -1, 1, -1387, -19529) # Cremona label: 130b3 # (-85/4,81/8) # # a-invariants: (1, -1, 1, -67, -441) # Cremona label: 130b4 # (43/4,-47/8) (27,-144) (27,116) # # a-invariants: (1, 1, 1, -841, -9737) # Cremona label: 130c1 # (-17,8) # # a-invariants: (1, 1, 1, -761, -11561) # Cremona label: 130c2 # (131/4,-135/8) # # a-invariants: (0, -1, 1, 1, 0) # Cremona label: 131a1 # (0,-1) (0,0) (2,-3) (2,2) (5/4,7/8) (5/4,-15/8) (6/25,21/125) (6/25,-146/125) (220/9,-3212/27) (220/9,3185/27) (-303/1936,-20847/85184) (-303/1936,-64337/85184) # # a-invariants: (0, 1, 0, 3, 0) # Cremona label: 132a1 # (0,0) # # a-invariants: (0, 1, 0, -12, -12) # Cremona label: 132a2 # (-1,0) # # a-invariants: (0, -1, 0, -77, 330) # Cremona label: 132b1 # (-10,0) # # a-invariants: (0, -1, 0, -1292, 18312) # Cremona label: 132b2 # (21,0) # # a-invariants: (0, 0, 1, -3, 4) # Cremona label: 135a1 # (4,-8) (4,7) (1,-2) (1,1) (-1,2) (-1,-3) (-2,-2) (-2,1) (1/4,-19/8) (1/4,11/8) (2,-3) (2,2) (19,-83) (19,82) (13,-47) (13,46) (16/9,44/27) (16/9,-71/27) (1/16,97/64) (1/16,-161/64) (-104/49,181/343) (-104/49,-524/343) (-19/25,246/125) (-19/25,-371/125) (331/289,-9934/4913) (331/289,5021/4913) (586/121,12863/1331) (586/121,-14194/1331) (1721/4,-71399/8) (1721/4,71391/8) (3238/961,154663/29791) (3238/961,-184454/29791) (-5903/4761,-973187/328509) (-5903/4761,644678/328509) (-112004/61009,-36007184/15069223) (-112004/61009,20937961/15069223) (50233/118336,-91481581/40707584) (50233/118336,50773997/40707584) (3291961/108241,-5981419303/35611289) (3291961/108241,5945808014/35611289) # # a-invariants: (0, 0, 1, -27, -115) # Cremona label: 135b1 # # # a-invariants: (0, 1, 0, -4, 0) # Cremona label: 136a1 # (0,0) (-2,-2) (2,-2) (2,2) (-2,2) (4,-8) (-1,-2) (-1,2) (4,8) (-2/9,-26/27) (18,-78) (18,78) (-2/9,26/27) (25/16,5/64) (-64/25,-16/125) (-64/25,16/125) (25/16,-5/64) (-98/361,-7322/6859) (722/49,19874/343) (-98/361,7322/6859) (722/49,-19874/343) (-1521/1681,132522/68921) (-1521/1681,-132522/68921) (6724/1521,557272/59319) (6724/1521,-557272/59319) (2719201/1600,-4485278351/64000) (2719201/1600,4485278351/64000) # # a-invariants: (0, 1, 0, 16, 16) # Cremona label: 136a2 # (-1,0) (0,-4) (0,4) (16,-68) (16,68) (13/4,85/8) (13/4,-85/8) (3,10) (3,-10) (-16/169,8364/2197) (160/9,-2132/27) (-16/169,-8364/2197) (160/9,2132/27) (-399/400,-1649/8000) (6799,-560660) (6799,560660) (-399/400,1649/8000) (255840/17689,-138827212/2352637) (255840/17689,138827212/2352637) (8989603/2556801,46268816030/4088324799) (8989603/2556801,-46268816030/4088324799) # # a-invariants: (0, -1, 0, -8, -4) # Cremona label: 136b1 # (-2,0) # # a-invariants: (0, -1, 0, -48, 140) # Cremona label: 136b2 # (5,0) # # a-invariants: (1, 1, 0, -1, 1) # Cremona label: 138a1 # (-2,1) (1,-2) (0,-1) (1,1) (0,1) (4,7) (4,-11) (-1,2) (-1,-1) (6,13) (-5/4,17/8) (-5/4,-7/8) (6,-19) (7/9,-43/27) (4/25,-127/125) (7/9,22/27) (4/25,107/125) (145,-1826) (145,1681) (-96/49,503/343) (-96/49,169/343) (329/256,5459/4096) (329/256,-10723/4096) (-146/841,-24667/24389) (-146/841,28901/24389) (6240/2209,428527/103823) (6240/2209,-721807/103823) (-56729/38025,-4832554/7414875) (-56729/38025,15894709/7414875) (1000939/1684804,1598495681/2186875592) (455910/1456849,-1886873477/1758416743) (1000939/1684804,-2897714503/2186875592) (455910/1456849,1336590107/1758416743) (-35434023263/67035423744,-18242473398103457/17356275632406528) (-35434023263/67035423744,27416767229173313/17356275632406528) # # a-invariants: (1, 1, 0, -31, 55) # Cremona label: 138a2 # (11/4,-11/8) (-3,-10) (-3,13) (3,-1) (3,-2) (19/9,29/27) (19/9,-86/27) (5,-10) (5,5) (27/4,-143/8) (153/64,-1279/512) (27/4,89/8) (153/64,55/512) (-829/169,-18589/2197) (-829/169,29366/2197) (661/225,-5861/3375) (661/225,-4054/3375) (7107/49,576409/343) (7107/49,-626158/343) (-381701/311364,1782345419/173741112) (669905/215296,-243042095/99897344) (669905/215296,-67793825/99897344) (-381701/311364,-1569356261/173741112) (7135346018043/2454505022596,-6017872072832992241/3845438655830836856) (7135346018043/2454505022596,-5160974638790723257/3845438655830836856) # # a-invariants: (1, 0, 1, -36, 82) # Cremona label: 138b1 # (2,-6) (2,3) (-7,3) (5,3) (5,-9) # # a-invariants: (1, 0, 1, -576, 5266) # Cremona label: 138b2 # (14,-9) (14,-6) (8,-39) (8,30) (55/4,-59/8) # # a-invariants: (1, 0, 1, 189, 190) # Cremona label: 138b3 # (-1,0) # # a-invariants: (1, 0, 1, -771, 1342) # Cremona label: 138b4 # (7/4,-11/8) # # a-invariants: (1, 1, 1, 3, 3) # Cremona label: 138c1 # (-1,0) (1,-4) (1,2) # # a-invariants: (1, 1, 1, -17, 11) # Cremona label: 138c2 # (3,-2) (-5,2) (3/4,-7/8) # # a-invariants: (1, 1, 1, -107, -457) # Cremona label: 138c3 # (-29/4,25/8) # # a-invariants: (1, 1, 1, -247, 1391) # Cremona label: 138c4 # (35/4,-39/8) # # a-invariants: (1, 1, 0, -3, -4) # Cremona label: 139a1 # # # a-invariants: (0, 1, 0, -5, -25) # Cremona label: 140a1 # (5,-10) (5,10) # # a-invariants: (0, 1, 0, -805, -9065) # Cremona label: 140a2 # # # a-invariants: (0, 0, 0, 32, 212) # Cremona label: 140b1 # # # a-invariants: (0, 1, 1, -12, 2) # Cremona label: 141a1 # (-3,-5) (-3,4) (6,13) (6,-14) (0,-2) (0,1) (3,1) (3,-2) (-3/4,23/8) (-3/4,-31/8) (15,58) (15,-59) (-4,1) (-4,-2) (42,274) (42,-275) (-39/25,-616/125) (-39/25,491/125) (57/16,235/64) (57/16,-299/64) (9/49,-272/343) (9/49,-71/343) (690/169,-14639/2197) (690/169,12442/2197) (-732/361,29002/6859) (-732/361,-35861/6859) (847/9,-24778/27) (847/9,24751/27) (-7995/2116,-322709/97336) (-7995/2116,225373/97336) (38931/3721,-7748402/226981) (38931/3721,7521421/226981) (-6408/14641,-5772791/1771561) (-6408/14641,4001230/1771561) (121854/42025,-81542/8615125) (121854/42025,-8533583/8615125) (84873678/219961,-782947667606/103161709) (84873678/219961,782844505897/103161709) (827428395/170015521,-21281181692393/2216832378319) (827428395/170015521,19064349314074/2216832378319) # # a-invariants: (1, 1, 1, -8, -16) # Cremona label: 141b1 # (3,-2) # # a-invariants: (1, 1, 1, -143, -718) # Cremona label: 141b2 # (-29/4,25/8) # # a-invariants: (1, 0, 0, -2, 3) # Cremona label: 141c1 # (1,1) (-2,1) (1,-2) # # a-invariants: (1, 0, 0, -47, 120) # Cremona label: 141c2 # (-8,4) (15/4,-15/8) (4,-2) # # a-invariants: (1, 0, 0, -62, 33) # Cremona label: 141c3 # (-33/4,33/8) # # a-invariants: (1, 0, 0, -752, 7875) # Cremona label: 141c4 # (63/4,-63/8) # # a-invariants: (0, -1, 1, -1, 0) # Cremona label: 141d1 # (0,-1) (0,0) (2,-2) (2,1) (-3/4,-5/8) (-3/4,-3/8) (22/9,55/27) (22/9,-82/27) (12/121,-164/1331) (12/121,-1167/1331) (1265/16,44671/64) (1265/16,-44735/64) (-1644/13225,-1669071/1520875) (-1644/13225,148196/1520875) (390437642/121727089,5297434842833/1343014972937) (390437642/121727089,-6640449815770/1343014972937) # # a-invariants: (0, 1, 1, -26, -61) # Cremona label: 141e1 # # # a-invariants: (1, -1, 1, -12, 15) # Cremona label: 142a1 # (1,-3) (1,1) (5,-11) (5,5) (-3,5) (-3,-3) (3,-1) (3,-3) (-1,5) (-1,-5) (13,-51) (13,37) (13/9,-25/27) (13/9,-41/27) (25,-135) (25,109) (-1/4,-37/8) (-1/4,31/8) (81/25,-11/125) (81/25,-519/125) (-171/49,1091/343) (-171/49,-237/343) (485/121,2839/1331) (485/121,-9505/1331) (103/169,-8055/2197) (103/169,4519/2197) (1387/9,49423/27) (1387/9,-53611/27) (3541/2809,17945/148877) (3541/2809,-354495/148877) (25133/3721,2420969/226981) (25133/3721,-4181063/226981) (53745/18496,-4436275/2515456) (53745/18496,-5388501/2515456) (-4341249051/1207632001,26525636011675/41966419666751) (-4341249051/1207632001,82370690092875/41966419666751) # # a-invariants: (1, 1, 0, -1, -1) # Cremona label: 142b1 # (-1,0) (-1,1) (1,-1) (1,0) (-5/4,1/8) (-5/4,9/8) (17,-81) (17,64) (-65/81,73/729) (-65/81,512/729) (401/256,5329/4096) (401/256,-11745/4096) (84241/21025,21054879/3048625) (84241/21025,-33269824/3048625) # # a-invariants: (1, -1, 0, -1, -3) # Cremona label: 142c1 # (2,-1) # # a-invariants: (1, -1, 0, -41, -91) # Cremona label: 142c2 # (-13/4,13/8) # # a-invariants: (1, 0, 0, -8, 8) # Cremona label: 142d1 # (2,0) (2,-2) # # a-invariants: (1, 0, 0, -58, -170) # Cremona label: 142d2 # # # a-invariants: (1, -1, 0, -2626, 52244) # Cremona label: 142e1 # # # a-invariants: (0, -1, 1, -1, -2) # Cremona label: 143a1 # (4,-7) (4,6) (2,-1) (2,0) (29/4,139/8) (29/4,-147/8) (46,308) (46,-309) (1192/441,21545/9261) (1192/441,-30806/9261) (4489/1936,-190653/85184) (4489/1936,105469/85184) (449024/24025,-294104882/3723875) (449024/24025,290381007/3723875) # # a-invariants: (0, 0, 0, 0, -1) # Cremona label: 144a1 # (1,0) # # a-invariants: (0, 0, 0, -15, -22) # Cremona label: 144a2 # (-2,0) # # a-invariants: (0, 0, 0, 0, 27) # Cremona label: 144a3 # (-3,0) # # a-invariants: (0, 0, 0, -135, 594) # Cremona label: 144a4 # (6,0) # # a-invariants: (0, 0, 0, 6, 7) # Cremona label: 144b1 # (-1,0) # # a-invariants: (0, 0, 0, -39, 70) # Cremona label: 144b2 # (2,0) (5,0) (-7,0) # # a-invariants: (0, 0, 0, -219, -1190) # Cremona label: 144b3 # (17,0) (-10,0) (-7,0) # # a-invariants: (0, 0, 0, -579, 5362) # Cremona label: 144b4 # (11,-18) (11,18) (14,0) # # a-invariants: (0, 0, 0, -3459, -78302) # Cremona label: 144b5 # (-34,0) # # a-invariants: (0, 0, 0, 141, -4718) # Cremona label: 144b6 # (14,0) # # a-invariants: (1, -1, 1, -3, 2) # Cremona label: 145a1 # (1,-1) (2,0) (2,-3) (0,-2) (0,1) (13/9,-25/27) (13/9,-41/27) (-5/4,-11/8) (-5/4,13/8) (194/25,-3063/125) (144/169,-3002/2197) (144/169,-1067/2197) (194/25,1968/125) (11713/2304,-1450841/110592) (11713/2304,778025/110592) (2831042/2019241,-3914243775/2869341461) (2831042/2019241,-2978008368/2869341461) (-1207440/811801,-560050154/731432701) (-1207440/811801,916520893/731432701) (1484596621/632774025,-62826270432121/15917430598875) (1484596621/632774025,9563811831991/15917430598875) # # a-invariants: (1, -1, 1, 2, 6) # Cremona label: 145a2 # (-5/4,1/8) (6,11) (0,2) (0,-3) (6,-18) (25/9,94/27) (25/9,-196/27) (1,2) (1,-4) (30,-178) (30,147) (-24/25,-191/125) (-24/25,186/125) (-29/36,-409/216) (1225/64,37039/512) (1225/64,-47351/512) (-29/36,367/216) (3096/2401,-513547/117649) (1950/841,69903/24389) (3096/2401,244194/117649) (1950/841,-150842/24389) (-34055/149769,115148366/57960603) (32161/4225,-6830036/274625) (32161/4225,4464946/274625) (-34055/149769,-159929684/57960603) (-1779091489439/1639221863041,2550328868861318866/2098730174910516161) (-1779091489439/1639221863041,-2371250848921805108/2098730174910516161) # # a-invariants: (1, 1, 1, 48, 48) # Cremona label: 147a1 # (-1,0) (6,-28) (6,21) # # a-invariants: (1, 1, 1, -197, 146) # Cremona label: 147a2 # (3/4,-7/8) (13,-7) (-15,7) # # a-invariants: (1, 1, 1, -1912, -32782) # Cremona label: 147a3 # (-109/4,105/8) # # a-invariants: (1, 1, 1, -2402, 44246) # Cremona label: 147a4 # (115/4,-119/8) (27,-14) (-57,28) # # a-invariants: (1, 1, 1, -38417, 2882228) # Cremona label: 147a5 # (451/4,-455/8) # # a-invariants: (1, 1, 1, -1667, 72764) # Cremona label: 147a6 # (-221/4,217/8) # # a-invariants: (0, 1, 1, -114, 473) # Cremona label: 147b1 # # # a-invariants: (0, 1, 1, -44704, -3655907) # Cremona label: 147b2 # # # a-invariants: (0, -1, 1, -2, -1) # Cremona label: 147c1 # # # a-invariants: (0, -1, 1, -912, 10919) # Cremona label: 147c2 # # # a-invariants: (0, -1, 0, -5, 1) # Cremona label: 148a1 # (-1,2) (-1,-2) (3,2) (3,-2) (0,-1) (0,1) (11,-34) (11,34) (-17/9,10/27) (-17/9,-10/27) (29/4,137/8) (29/4,-137/8) (15/121,-806/1331) (15/121,806/1331) (987/289,-17086/4913) (987/289,17086/4913) (-1096/841,-46303/24389) (-1096/841,46303/24389) (37939/225,7367138/3375) (37939/225,-7367138/3375) (-75361/108241,68118478/35611289) (-75361/108241,-68118478/35611289) (377300819/19651489,-7084670216798/87115050737) (377300819/19651489,7084670216798/87115050737) # # a-invariants: (1, 0, 0, -3, -3) # Cremona label: 150a1 # (2,-1) # # a-invariants: (1, 0, 0, -53, -153) # Cremona label: 150a2 # (-17/4,17/8) # # a-invariants: (1, 0, 0, -28, 272) # Cremona label: 150a3 # (2,14) (-4,20) (-8,4) (8,-28) (-4,-16) (32,164) (2,-16) (8,20) (32,-196) # # a-invariants: (1, 0, 0, -828, 9072) # Cremona label: 150a4 # (12,24) (-18,144) (18,0) (12,-36) (-18,-126) (36,-180) (36,144) (18,-18) (63/4,-63/8) # # a-invariants: (1, 1, 0, -75, -375) # Cremona label: 150b1 # (10,-5) # # a-invariants: (1, 1, 0, -1325, -19125) # Cremona label: 150b2 # (-85/4,85/8) # # a-invariants: (1, 1, 0, -700, 34000) # Cremona label: 150b3 # (-40,20) # # a-invariants: (1, 1, 0, -20700, 1134000) # Cremona label: 150b4 # (315/4,-315/8) # # a-invariants: (1, 1, 1, 37, 281) # Cremona label: 150c1 # (5,-28) (-5,2) (5,22) # # a-invariants: (1, 1, 1, -463, 3281) # Cremona label: 150c2 # (-25,12) (15,-8) (35/4,-39/8) # # a-invariants: (1, 1, 1, -338, -7969) # Cremona label: 150c3 # (25,-13) (65,-533) (65,467) # # a-invariants: (1, 1, 1, -1713, -24219) # Cremona label: 150c4 # (-125/4,121/8) # # a-invariants: (1, 1, 1, -7213, 232781) # Cremona label: 150c5 # (195/4,-199/8) # # a-invariants: (1, 1, 1, -8338, -295969) # Cremona label: 150c6 # (-55,27) (105,-53) (-205/4,201/8) # # a-invariants: (1, 1, 1, -133338, -18795969) # Cremona label: 150c7 # (-845/4,841/8) # # a-invariants: (1, 1, 1, -11338, -67969) # Cremona label: 150c8 # (435/4,-439/8) # # a-invariants: (0, 1, 0, -1, 3) # Cremona label: 152a1 # (-1,-2) (-1,2) (1,-2) (1,2) (3,-6) (3,6) (-2,1) (-2,-1) (11,38) (11,-38) (1/9,-46/27) (1/9,46/27) (-1/25,-218/125) (-1/25,218/125) (61/4,-491/8) (61/4,491/8) (-321/169,2826/2197) (-321/169,-2826/2197) (913/361,32926/6859) (913/361,-32926/6859) (2843/2401,259846/117649) (2843/2401,-259846/117649) (-5594/4761,651527/328509) (-5594/4761,-651527/328509) (150131/289,-58226726/4913) (150131/289,58226726/4913) # # a-invariants: (0, 1, 0, -8, -16) # Cremona label: 152b1 # # # a-invariants: (0, 0, 1, -3, 2) # Cremona label: 153a1 # (0,-2) (0,1) (1,0) (1,-1) (3,4) (3,-5) (-2,0) (-2,-1) (9/4,-25/8) (9/4,17/8) (10/9,1/27) (10/9,-28/27) (-9/25,164/125) (-9/25,-289/125) (85,-784) (85,783) (84/289,3362/4913) (84/289,-8275/4913) (697/784,-22707/21952) (697/784,755/21952) (7308/1681,547805/68921) (7308/1681,-616726/68921) (-13571/7569,570025/658503) (-13571/7569,-1228528/658503) # # a-invariants: (0, 0, 1, 6, 27) # Cremona label: 153b1 # (5,-14) (5,13) (-1,4) (-1,-5) (-7/4,23/8) (-7/4,-31/8) (3,8) (3,-9) (113,1201) (113,-1202) (137/16,-1733/64) (137/16,1669/64) (-31/361,32035/6859) (-31/361,-38894/6859) (-645/289,5679/4913) (-645/289,-10592/4913) (19649/12100,7885643/1331000) (19649/12100,-9216643/1331000) (2156113/2286144,-21808937177/3456649728) (2156113/2286144,18352287449/3456649728) (1272760487/2491307569,623984810253467/124348634691497) (1272760487/2491307569,-748333444944964/124348634691497) # # a-invariants: (0, 0, 1, -534, 4752) # Cremona label: 153b2 # (12,-9) (12,8) (65/4,149/8) (14,4) (14,-5) (65/4,-157/8) (-22,-77) (-22,76) (80,688) (8,31) (209/16,-185/64) (80,-689) (209/16,121/64) (8,-32) (1622/121,-2884/1331) (-7/4,-607/8) (1622/121,1553/1331) (674/25,-12532/125) (-7/4,599/8) (674/25,12407/125) (660/49,-792/343) (1924/81,-54280/729) (660/49,449/343) (1924/81,53551/729) (-303/64,-43623/512) (-303/64,43111/512) (19250/169,2618572/2197) (19250/169,-2620769/2197) (-2492008/101761,-1836193343/32461759) (-2492008/101761,1803731584/32461759) (1121873/71824,-296526983/19248832) (1121873/71824,277278151/19248832) # # a-invariants: (1, -1, 0, -6, -1) # Cremona label: 153c1 # (-2,1) # # a-invariants: (1, -1, 0, -51, 152) # Cremona label: 153c2 # (19/4,-19/8) (-8,4) (4,-2) # # a-invariants: (1, -1, 0, -816, 9179) # Cremona label: 153c3 # (67/4,-67/8) # # a-invariants: (1, -1, 0, -6, 377) # Cremona label: 153c4 # (-29/4,29/8) # # a-invariants: (0, 0, 1, -27, -61) # Cremona label: 153d1 # # # a-invariants: (1, -1, 0, -29, 69) # Cremona label: 154a1 # (-6,3) (2,3) (5,3) (5,-8) (2,-5) (3,-3) (34/9,-95/27) (3,0) (34/9,-7/27) (-13/4,101/8) (26,-141) (26,115) (-13/4,-75/8) (498/49,-11115/343) (498/49,7629/343) (-5/9,256/27) (-5/9,-241/27) (2069/625,-41928/15625) (1826/529,-33699/12167) (1826/529,-8299/12167) (2069/625,-9797/15625) (7978/13689,11087335/1601613) (7978/13689,-12020761/1601613) (7545/1024,-600771/32768) (7545/1024,359331/32768) (9006043/2223081,-14623767425/3314613771) (9006043/2223081,1195757312/3314613771) # # a-invariants: (1, -1, 0, -469, 4029) # Cremona label: 154a2 # (51/4,-51/8) (11,5) (11,-16) (13,-5) (13,-8) (-3,-72) (115/9,-169/27) (-3,75) (115/9,-176/27) (115/4,-1051/8) (3257/256,-26875/4096) (3257/256,-25237/4096) (115/4,821/8) (63501/5041,-1906851/357911) (63501/5041,-2601720/357911) (6883/441,95537/9261) (6883/441,-240080/9261) (4219501/330625,-1210137976/190109375) (4219501/330625,-1216075099/190109375) (195558193/14017536,24167940103/52481654784) (195558193/14017536,-756337814695/52481654784) # # a-invariants: (1, -1, 1, -4, -89) # Cremona label: 154b1 # (13,-51) (13,37) (5,-3) # # a-invariants: (1, -1, 1, -324, -2137) # Cremona label: 154b2 # (-11,5) (21,-11) (-37/4,33/8) # # a-invariants: (1, -1, 1, -5164, -141529) # Cremona label: 154b3 # (-165/4,161/8) # # a-invariants: (1, -1, 1, -604, 2343) # Cremona label: 154b4 # (91/4,-95/8) # # a-invariants: (1, 1, 0, -14, -28) # Cremona label: 154c1 # (4,-2) # # a-invariants: (1, 1, 0, -234, -1480) # Cremona label: 154c2 # (-37/4,37/8) # # a-invariants: (0, -1, 1, 10, 6) # Cremona label: 155a1 # (5,12) (5,-13) (0,2) (0,-3) (2,5) (30,-163) (30,162) (15,-58) (5/4,31/8) (-5/9,-1/27) (-5/9,-26/27) (5/4,-39/8) (15,57) (2,-6) (1265/169,45219/2197) (1820/529,95379/12167) (-39/121,-2928/1331) (345/784,-82251/21952) (1265/169,-47416/2197) (-39/121,1597/1331) (345/784,60299/21952) (1540/9,-60281/27) (1820/529,-107546/12167) (1540/9,60254/27) # # a-invariants: (0, -1, 1, -840, -9114) # Cremona label: 155a2 # (67,480) (67,-481) (36,-78) (36,77) (222,3270) (222,-3271) (7441/25,-637686/125) (7441/25,637561/125) (1357/36,22915/216) (1357/36,-23131/216) (43648842/3721,-288362924466/226981) (43648842/3721,288362697485/226981) (13140283065361/76328428176,46758621141128646287/21087712822752576) (13140283065361/76328428176,-46779708853951398863/21087712822752576) # # a-invariants: (1, 1, 1, -1, -2) # Cremona label: 155b1 # (1,-1) # # a-invariants: (1, 1, 1, -26, -62) # Cremona label: 155b2 # (-13/4,9/8) # # a-invariants: (0, -1, 1, -1, 1) # Cremona label: 155c1 # (1,-1) (1,0) (-1,0) (-1,-1) (5/4,-9/8) (5/4,1/8) (19,80) (19,-81) (61/81,-800/729) (61/81,71/729) (-239/400,5041/8000) (-239/400,-13041/8000) (8261/5041,233289/357911) (8261/5041,-591200/357911) (130859/25921,-43689680/4173281) (130859/25921,39516399/4173281) (-3225881/61449921,308290863041/481705930719) (-3225881/61449921,-789996793760/481705930719) # # a-invariants: (0, -1, 0, -5, 6) # Cremona label: 156a1 # (2,0) (-1,-3) (-1,3) (1,-1) (1,1) (3,3) (3,-3) (5,9) (5,-9) (-2,-2) (5/4,-3/8) (-2,2) (5/4,3/8) (19/9,-17/27) (29,153) (29,-153) (19/9,17/27) (1/25,301/125) (1/25,-301/125) (23/49,645/343) (23/49,-645/343) (201/16,2691/64) (386/169,2484/2197) (201/16,-2691/64) (386/169,-2484/2197) (1777/1369,5549/50653) (-2185/961,-19869/29791) (1777/1369,-5549/50653) (-2185/961,19869/29791) (37085/14641,3154401/1771561) (19843/2601,2494657/132651) (19843/2601,-2494657/132651) (37085/14641,-3154401/1771561) (4599219/2265025,1057873053/3408862625) (4599219/2265025,-1057873053/3408862625) (1699360417/463454784,48387218144849/9977254589952) (1699360417/463454784,-48387218144849/9977254589952) # # a-invariants: (0, -1, 0, -20, -24) # Cremona label: 156a2 # (-3,0) (-2,-2) (10,-26) (10,26) (-2,2) (-14/9,26/27) (-14/9,-26/27) (6,6) (6,-6) (-11/4,-13/8) (49,338) (49,-338) (-11/4,13/8) (262/9,4114/27) (262/9,-4114/27) (-750/289,9438/4913) (-750/289,-9438/4913) (10378/1849,239330/79507) (-1826/1225,-22618/42875) (10378/1849,-239330/79507) (-1826/1225,22618/42875) (34737/2704,-5753151/140608) (-93395/42849,-18788068/8869743) (-93395/42849,18788068/8869743) (34737/2704,5753151/140608) (-3914786/1315609,-841114198/1509003523) (-3914786/1315609,841114198/1509003523) (310816966/38081241,-4001002602526/234999338211) (310816966/38081241,4001002602526/234999338211) # # a-invariants: (0, 1, 0, -13, -4) # Cremona label: 156b1 # (5,-9) (-4,0) (5,9) (-1,-3) (-1,3) # # a-invariants: (0, 1, 0, -148, 644) # Cremona label: 156b2 # (20,78) (7,0) (20,-78) (8,-6) (8,6) # # a-invariants: (0, 1, 0, -733, -7888) # Cremona label: 156b3 # (-16,0) # # a-invariants: (0, 1, 0, -748, -7564) # Cremona label: 156b4 # (31,0) # # a-invariants: (1, -1, 1, -9, 9) # Cremona label: 158a1 # (-1,4) (-1,-4) (3,-4) (3,0) (1,-2) (1,0) (7,12) (7,-20) (-3,0) (-3,2) (11,-40) (11,28) (7/9,20/27) (7/9,-68/27) (11/4,-7/8) (11/4,-23/8) (-9/25,396/125) (-9/25,-476/125) (139,1564) (139,-1704) (-83/49,1518/343) (-83/49,-1280/343) (999/289,-28116/4913) (999/289,6220/4913) (593/529,-7630/12167) (593/529,-18176/12167) (5443/1089,199040/35937) (5443/1089,-414596/35937) (-13489/5041,-677980/357911) (-13489/5041,1277788/357911) (21057/1024,2616273/32768) (21057/1024,-3322865/32768) (131889/758641,-2227927086/660776311) (131889/758641,1452275456/660776311) (23351207/667489,101428020428/545338513) (23351207/667489,-121051295060/545338513) (5180494219/1330936324,117970476741065/48555218972168) (5180494219/1330936324,-355520485810791/48555218972168) # # a-invariants: (1, 1, 0, -3, 1) # Cremona label: 158b1 # (0,-1) (0,1) (1,0) (1,-1) (-2,-1) (-2,3) (3,4) (3,-7) (4/9,-5/27) (4/9,-7/27) (15/4,47/8) (15/4,-77/8) (-44/25,-161/125) (-44/25,381/125) (115/121,-1124/1331) (115/121,-141/1331) (-66/529,15113/12167) (-66/529,-13595/12167) (2737/9,139376/27) (2737/9,-147587/27) (1488/14161,-1498169/1685159) (1488/14161,1321097/1685159) (65569/61504,1918923/15252992) (65569/61504,-18180035/15252992) (-672080/303601,-100626281/167284151) (-672080/303601,470942361/167284151) # # a-invariants: (1, 1, 1, -420, 3109) # Cremona label: 158c1 # (13,-15) (29,113) (13,1) (29,-143) # # a-invariants: (1, 1, 1, -23380, -1385691) # Cremona label: 158c2 # # # a-invariants: (1, 0, 1, -82, -92) # Cremona label: 158d1 # (14,32) (14,-47) # # a-invariants: (1, 0, 1, -5217, -145452) # Cremona label: 158d2 # # # a-invariants: (1, 0, 1, -47, 118) # Cremona label: 158d3 # (4,-2) (4,-3) # # a-invariants: (1, 1, 1, 1, 1) # Cremona label: 158e1 # (-1,0) # # a-invariants: (1, 1, 1, -9, 5) # Cremona label: 158e2 # (3/4,-7/8) # # a-invariants: (0, 1, 0, -6, 4) # Cremona label: 160a1 # (1,0) (2,-2) (2,2) (0,2) (0,-2) (-3,-2) (5/4,-1/8) (-3,2) (5/4,1/8) (16/25,114/125) (34/9,-190/27) (16/25,-114/125) (34/9,190/27) (305/16,5423/64) (273/289,1276/4913) (273/289,-1276/4913) (305/16,-5423/64) (12002/8281,504958/753571) (-4560/3721,753298/226981) (-4560/3721,-753298/226981) (12002/8281,-504958/753571) (449509/324900,94660127/185193000) (449509/324900,-94660127/185193000) (59146562/4844401,464743980098/10662526601) (59146562/4844401,-464743980098/10662526601) (8900757185/1882171456,-831710711270977/81656126447104) (8900757185/1882171456,831710711270977/81656126447104) # # a-invariants: (0, 1, 0, -1, 15) # Cremona label: 160a2 # (-3,0) (-1,4) (7,-20) (7,20) (-1,-4) (1,4) (2,-5) (1,-4) (2,5) (15,60) (-17/9,100/27) (15,-60) (-17/9,-100/27) (77,680) (-11/4,-17/8) (-11/4,17/8) (77,-680) (191/49,3172/343) (-17/169,-8540/2197) (191/49,-3172/343) (-17/169,8540/2197) (769/225,26828/3375) (769/225,-26828/3375) (42/361,-26475/6859) (42/361,26475/6859) (47527/961,-10463980/29791) (-13201/5041,-913756/357911) (47527/961,10463980/29791) (-13201/5041,913756/357911) (-212803/101761,-113936720/32461759) (87889/4624,-26724863/314432) (-212803/101761,113936720/32461759) (87889/4624,26724863/314432) (-23915519/30813601,682279398956/171046299151) (-23915519/30813601,-682279398956/171046299151) # # a-invariants: (0, -1, 0, -6, -4) # Cremona label: 160b1 # (-1,0) # # a-invariants: (0, -1, 0, -1, -15) # Cremona label: 160b2 # (3,0) # # a-invariants: (1, -1, 1, -9, 8) # Cremona label: 161a1 # (-3,1) (1,-1) (11/4,-15/8) # # a-invariants: (1, -1, 1, -4, -2) # Cremona label: 161a2 # (-1,0) # # a-invariants: (1, -1, 1, -124, 560) # Cremona label: 161a3 # (27/4,-31/8) (5,4) (5,-10) # # a-invariants: (1, -1, 1, 26, 36) # Cremona label: 161a4 # (-5/4,1/8) # # a-invariants: (1, -1, 0, -6, 8) # Cremona label: 162a1 # (1,-2) (1,1) (-2,-2) (2,0) (4,4) (2,-2) (4,-8) (-2,4) (-1,4) (7/4,-13/8) (7,-20) (7/4,-1/8) (7,13) (-1,-3) (4/9,-68/27) (46,-332) (34/25,-208/125) (34/25,38/125) (46,286) (4/9,56/27) (137/49,-1401/343) (-167/64,1121/512) (289/121,-3901/1331) (137/49,442/343) (289/121,722/1331) (-167/64,215/512) (-92/2209,300344/103823) (2942/169,-173724/2197) (5314/3481,-322384/205379) (-92/2209,-296020/103823) (2942/169,135478/2197) (5314/3481,8858/205379) (-15449/42025,28901284/8615125) (55711/34596,-10035049/6434856) (-15449/42025,-25734239/8615125) (55711/34596,-327197/6434856) (-2648434/1075369,3395836596/1115157653) (-2648434/1075369,-649410538/1115157653) (193829953/287336401,-11283999484862/4870639333351) (193829953/287336401,7998387951559/4870639333351) # # a-invariants: (1, -1, 0, 39, -19) # Cremona label: 162a2 # (10,31) (10,-41) (1,4) (1,-5) (2,-9) (2,7) (19,-95) (19,76) (154,1831) (154,-1985) (23/4,131/8) (23/4,-177/8) (154/289,5135/4913) (154/289,-7753/4913) (1315/361,-99644/6859) (1315/361,74659/6859) (10306/225,-1124599/3375) (10306/225,970009/3375) (108145/2809,32813447/148877) (108145/2809,-38545132/148877) (218177/379456,-496048029/233744896) (218177/379456,361650997/233744896) (21953238722/1299530401,2997637832300743/46846771425649) (21953238722/1299530401,-3789030134990121/46846771425649) # # a-invariants: (1, -1, 1, -5, 5) # Cremona label: 162b1 # (1,0) (1,-2) # # a-invariants: (1, -1, 1, 25, 1) # Cremona label: 162b2 # # # a-invariants: (1, -1, 1, -95, -697) # Cremona label: 162b3 # (19,-74) (19,54) # # a-invariants: (1, -1, 1, -9695, -364985) # Cremona label: 162b4 # # # a-invariants: (1, -1, 0, 3, -1) # Cremona label: 162c1 # (1,1) (1,-2) # # a-invariants: (1, -1, 0, -42, -100) # Cremona label: 162c2 # # # a-invariants: (1, -1, 0, -1077, 13877) # Cremona label: 162c3 # (19,-8) (19,-11) # # a-invariants: (1, -1, 0, -852, 19664) # Cremona label: 162c4 # # # a-invariants: (1, -1, 1, 4, -1) # Cremona label: 162d1 # (1,1) (1,-3) # # a-invariants: (1, -1, 1, -56, -161) # Cremona label: 162d2 # # # a-invariants: (0, 0, 1, -2, 1) # Cremona label: 163a1 # (1,-1) (1,0) (-1,1) (-1,-2) (1/4,3/8) (1/4,-11/8) (19/9,-82/27) (19/9,55/27) (109/25,1023/125) (109/25,-1148/125) (449/784,-22847/21952) (449/784,895/21952) (-7019/4489,73569/300763) (-7019/4489,-374332/300763) (4717441/256036,10152149605/129554216) (4717441/256036,-10281703821/129554216) # # a-invariants: (1, 1, 0, -6, 4) # Cremona label: 166a1 # (0,2) (0,-2) (1,-1) (1,0) (4,6) (4,-10) (-3,-1) (-3,4) (16/9,-70/27) (16/9,22/27) (21/16,5/64) (21/16,-89/64) (-80/49,1506/343) (-80/49,-946/343) (301/25,4636/125) (301/25,-6141/125) (1380/1849,-92974/79507) (1380/1849,33634/79507) (2881/4761,236995/328509) (2881/4761,-435784/328509) (103776/4489,30668138/300763) (103776/4489,-37621130/300763) (-154703/141376,203389109/53157376) (-154703/141376,-145220781/53157376) # # a-invariants: (0, 1, 0, -7, -10) # Cremona label: 168a1 # (-2,0) # # a-invariants: (0, 1, 0, -12, 0) # Cremona label: 168a2 # (0,0) (-4,0) (3,0) # # a-invariants: (0, 1, 0, -152, 672) # Cremona label: 168a3 # (7,0) (4,12) (4,-12) # # a-invariants: (0, 1, 0, 48, 48) # Cremona label: 168a4 # (-1,0) # # a-invariants: (0, -1, 0, -7, 52) # Cremona label: 168b1 # (-4,0) (3,-7) (3,7) # # a-invariants: (0, -1, 0, -252, 1620) # Cremona label: 168b2 # (9,0) (10,0) (-18,0) # # a-invariants: (0, -1, 0, -392, -228) # Cremona label: 168b3 # (-19,0) # # a-invariants: (0, -1, 0, -4032, 99900) # Cremona label: 168b4 # (37,0) # # a-invariants: (1, 0, 1, -8, 6) # Cremona label: 170a1 # (1,-1) (5,-13) (0,2) (0,-3) (5,7) (2,-2) (-3,-1) (2,-1) (-3,3) (-5/4,31/8) (25/9,29/27) (25/9,-131/27) (-5/4,-29/8) (26,-146) (21/25,-221/125) (21/25,-9/125) (26,119) (120/169,729/2197) (725/49,-22079/343) (725/49,16661/343) (120/169,-4486/2197) (1417/576,-52249/13824) (-1463/841,102811/24389) (1417/576,4417/13824) (-1463/841,-84773/24389) (91205/43681,-6017597/9129329) (91205/43681,-22173577/9129329) (465866/70225,-370784209/18609625) (114741/395641,344631571/248858189) (114741/395641,-665661849/248858189) (465866/70225,228720094/18609625) (73369705/301401,-648962139637/165469149) (73369705/301401,608516702443/165469149) # # a-invariants: (1, 0, 1, 12, 38) # Cremona label: 170a2 # (-9/4,5/8) (-1,5) (19,-95) (19,75) (-1,-5) (4,10) (2,-10) (4,-15) (2,7) (9,-35) (9,25) (1/9,-185/27) (1/9,155/27) (-2,-2) (-2,3) (104,-1115) (104,1010) (59,-485) (-89/49,-965/343) (-89/49,1245/343) (59,425) (19/36,1285/216) (19/36,-1615/216) (117/16,-1745/64) (117/16,1213/64) (1759/361,-122055/6859) (179/121,8705/1331) (1759/361,81775/6859) (179/121,-12005/1331) (646/25,-18346/125) (-3664/2809,-645655/148877) (-3664/2809,690970/148877) (646/25,14991/125) (78889/81,-22516055/729) (78889/81,21805325/729) (-8271/3721,331105/226981) (-8271/3721,-53555/226981) (120124/8281,37607835/753571) (120124/8281,-49292690/753571) (-135407/484416,-2109049277/337153536) (-135407/484416,1866139013/337153536) (164589487606/27783889225,-100029246572765001/4631157575469125) (164589487606/27783889225,67963490255689766/4631157575469125) # # a-invariants: (1, 0, 1, -2554, 49452) # Cremona label: 170b1 # (29,-15) (30,-24) (13,-143) (13,129) (30,-7) # # a-invariants: (1, 0, 1, -2474, 52716) # Cremona label: 170b2 # (48,-237) (14,137) (48,188) (-233/4,229/8) (14,-152) # # a-invariants: (1, 0, 1, -4169, -20724) # Cremona label: 170b3 # (-5,2) # # a-invariants: (1, 0, 1, 16311, -159988) # Cremona label: 170b4 # (39/4,-43/8) # # a-invariants: (1, 0, 0, 399, -919) # Cremona label: 170c1 # (10,-69) (10,59) # # a-invariants: (1, 0, 0, -6641, -215575) # Cremona label: 170c2 # # # a-invariants: (1, 0, 1, -3, 6) # Cremona label: 170d1 # (0,-3) (0,2) # # a-invariants: (1, 0, 1, 22, -164) # Cremona label: 170d2 # # # a-invariants: (1, -1, 0, -10, -10) # Cremona label: 170e1 # # # a-invariants: (1, -1, 1, -14, 20) # Cremona label: 171a1 # (3,-2) (0,-5) (0,4) # # a-invariants: (1, -1, 1, -59, -142) # Cremona label: 171a2 # (9,-5) (-21/4,17/8) (-3,1) # # a-invariants: (1, -1, 1, -914, -10402) # Cremona label: 171a3 # (-69/4,65/8) # # a-invariants: (1, -1, 1, 76, -790) # Cremona label: 171a4 # (27/4,-31/8) # # a-invariants: (0, 0, 1, 6, 0) # Cremona label: 171b1 # (2,4) (2,-5) (0,-1) (0,0) (17/4,-85/8) (17/4,77/8) (36,216) (36,-217) (254/289,-14692/4913) (254/289,9779/4913) (433/1296,47305/46656) (433/1296,-93961/46656) (25913969/103022500,-1916041057547/1045678375000) (25913969/103022500,870362682547/1045678375000) # # a-invariants: (0, 0, 1, -84, 315) # Cremona label: 171b2 # (3,9) (3,-10) (5,-5) (41,256) (5,4) (-7/4,-175/8) (41,-257) (-7/4,167/8) (105/16,-469/64) (103/9,775/27) (105/16,405/64) (-9,18) (103/9,-802/27) (-9,-19) (-5839/625,-271409/15625) (-5839/625,255784/15625) (9173/841,-655924/24389) (9173/841,631535/24389) (1313/196,18635/2744) (1313/196,-21379/2744) (-73479/33856,-140635251/6229504) (49923/1369,-10859203/50653) (49923/1369,10808550/50653) (-73479/33856,134405747/6229504) (-5205685967/3874315536,-5096104855425865/241152896222784) (-5205685967/3874315536,4854951959203081/241152896222784) # # a-invariants: (0, 0, 1, -6924, 221760) # Cremona label: 171b3 # (48,0) (48,-1) (62,-176) (62,175) (2354/49,-167/343) (2354/49,-176/343) (185/4,-175/8) (185/4,167/8) (-612/49,189657/343) (277521/5776,-249319/438976) (73540/1521,190000/59319) (277521/5776,-189657/438976) (-612/49,-190000/343) (73540/1521,-249319/59319) # # a-invariants: (0, 0, 1, 177, 1035) # Cremona label: 171c1 # # # a-invariants: (0, 0, 1, -39513, 3023145) # Cremona label: 171c2 # # # a-invariants: (0, 0, 1, -21, -41) # Cremona label: 171d1 # # # a-invariants: (0, 1, 0, -13, 15) # Cremona label: 172a1 # (1,-2) (1,2) (-3,-6) (5,-10) (5,10) (2,-1) (-3,6) (2,1) (49/25,-118/125) (-11/4,49/8) (49/9,-314/27) (49/9,314/27) (49/25,118/125) (-11/4,-49/8) (1037/961,-54874/29791) (330/361,14895/6859) (330/361,-14895/6859) (2357,-114454) (2357,114454) (1037/961,54874/29791) (177361/38416,65079743/7529536) (-282239/87025,-148737934/25672375) (-282239/87025,148737934/25672375) (177361/38416,-65079743/7529536) (166927322/27994681,-2014910564239/148119857171) (166927322/27994681,2014910564239/148119857171) # # a-invariants: (0, 1, 0, 67, 79) # Cremona label: 172a2 # (10,43) (10,-43) (-3/4,-43/8) (-3/4,43/8) (2,-15) (2,15) (633/16,16469/64) (633/16,-16469/64) (6370/121,-519397/1331) (6370/121,519397/1331) (2389/900,-453887/27000) (2389/900,453887/27000) (817690442/346921,-23387193579105/204336469) (817690442/346921,23387193579105/204336469) # # a-invariants: (1, 0, 1, -7705, 1226492) # Cremona label: 174a1 # (4,-1096) (4,1091) # # a-invariants: (1, 0, 1, 68840, -31810330) # Cremona label: 174a2 # # # a-invariants: (1, 0, 0, -1, 137) # Cremona label: 174b1 # (14,-61) (14,47) (2,-13) (-4,-7) (-4,11) (2,11) # # a-invariants: (1, 0, 0, -6511, -203353) # Cremona label: 174b2 # # # a-invariants: (1, 1, 1, -5, -7) # Cremona label: 174c1 # # # a-invariants: (1, 0, 1, 0, -2) # Cremona label: 174d1 # (1,-1) # # a-invariants: (1, 0, 1, -20, -34) # Cremona label: 174d2 # (-3,1) (5,-3) (-9/4,5/8) # # a-invariants: (1, 0, 1, -310, -2122) # Cremona label: 174d3 # (-41/4,37/8) # # a-invariants: (1, 0, 1, -50, 86) # Cremona label: 174d4 # (23/4,-27/8) # # a-invariants: (1, 1, 0, -56, -192) # Cremona label: 174e1 # # # a-invariants: (0, -1, 1, 2, -2) # Cremona label: 175a1 # (2,-3) (2,2) (1,-1) (1,0) (7,-18) (7,17) (8,21) (8,-22) (37/36,-233/216) (37/36,17/216) (92/49,603/343) (92/49,-946/343) (1507,58482) (1507,-58483) (3949/1849,180900/79507) (3949/1849,-260407/79507) (556249/90000,376370443/27000000) (556249/90000,-403370443/27000000) (17704097070037/7742272860036,55807015884541775983/21542827779413009784) (17704097070037/7742272860036,-77349843663954785767/21542827779413009784) # # a-invariants: (0, -1, 1, -148, 748) # Cremona label: 175a2 # (8,3) (8,-4) (1,24) (1,-25) (-13,-18) (53/4,241/8) (58/9,-136/27) (22,87) (-13,17) (7,2) (53/4,-249/8) (7,-3) (58/9,109/27) (22,-88) (-4,-36) (221/25,-969/125) (37/9,361/27) (148,1788) (121/16,101/64) (37/9,-388/27) (-4,35) (121/16,-165/64) (148,-1789) (221/25,844/125) (-4322/529,-452351/12167) (16223/2209,142251/103823) (3637/676,147207/17576) (-4322/529,440184/12167) (4267/81,-269567/729) (1202/121,16152/1331) (4267/81,268838/729) (16223/2209,-246074/103823) (3637/676,-164783/17576) (1202/121,-17483/1331) (198256/34225,-48713829/6331625) (198256/34225,42382204/6331625) (-230863/23104,-119784311/3511808) (53833/5041,5719161/357911) (-230863/23104,116272503/3511808) (53833/5041,-6077072/357911) (37562586517/5475556009,995129568145623/405174717997973) (37562586517/5475556009,-1400304286143596/405174717997973) # # a-invariants: (0, -1, 1, -33, 93) # Cremona label: 175b1 # (-3,-13) (-3,12) (7,12) (7,-13) (13/4,-29/8) (13/4,21/8) (3,-4) (3,3) (73/9,449/27) (73/9,-476/27) (-63/16,743/64) (-63/16,-807/64) (697,-18388) (697,18387) (-101/49,4005/343) (-101/49,-4348/343) (13077/2116,-957343/97336) (13077/2116,860007/97336) (42847/12321,-4660003/1367631) (42847/12321,3292372/1367631) (593809/61504,-375410535/15252992) (593809/61504,360157543/15252992) # # a-invariants: (0, -1, 1, 217, -282) # Cremona label: 175b2 # (12,62) (12,-63) (2,12) (2,-13) (173/4,2371/8) (173/4,-2379/8) (78,696) (78,-697) (3568/1089,747469/35937) (3568/1089,-783406/35937) (46377/5776,-19423213/438976) (46377/5776,18984237/438976) (9087941637/6621727876,1937285497042063/538836484181624) (9087941637/6621727876,-2476121981223687/538836484181624) # # a-invariants: (0, -1, 1, -3283, -74657) # Cremona label: 175b3 # (397,7812) (397,-7813) (107,-888) (107,887) (226133/3364,-12269431/195112) (226133/3364,12074319/195112) (449023/5041,205957881/357911) (449023/5041,-206315792/357911) (52830514456897/8165652496,-383952073593318926247/737881022148544) (52830514456897/8165652496,383951335712296777703/737881022148544) # # a-invariants: (0, 1, 1, 42, -131) # Cremona label: 175c1 # # # a-invariants: (0, 1, 1, -3708, 86119) # Cremona label: 175c2 # # # a-invariants: (0, 0, 0, -4, -4) # Cremona label: 176a1 # # # a-invariants: (0, 1, 0, -5, -13) # Cremona label: 176b1 # # # a-invariants: (0, 1, 0, -165, 1427) # Cremona label: 176b2 # # # a-invariants: (0, 1, 0, -125125, 16994227) # Cremona label: 176b3 # # # a-invariants: (0, -1, 0, 3, 1) # Cremona label: 176c1 # (1,-2) (1,2) (0,-1) (0,1) (9,-26) (9,26) (13/4,-47/8) (13/4,47/8) (-23/81,154/729) (-23/81,-154/729) (376/169,-8143/2197) (376/169,8143/2197) (10305/529,-1023202/12167) (10305/529,1023202/12167) (9009/35344,-8704961/6644672) (9009/35344,8704961/6644672) (39802984/480249,-249651310481/332812557) (39802984/480249,249651310481/332812557) # # a-invariants: (0, -1, 0, -77, 289) # Cremona label: 176c2 # (-3,-22) (-3,22) (8,-11) (8,11) (5,-2) (5,2) (21/4,-11/8) (21/4,11/8) (61/9,-154/27) (61/9,154/27) (0,-17) (0,17) (173,-2266) (173,2266) (-103/16,1397/64) (-103/16,-1397/64) (261/25,2834/125) (261/25,-2834/125) (2032/441,-30437/9261) (2032/441,30437/9261) (20253/3721,-279686/226981) (20253/3721,279686/226981) (7085/1156,-122623/39304) (7085/1156,122623/39304) (-622955/68121,-213917858/17779581) (-622955/68121,213917858/17779581) # # a-invariants: (1, 0, 0, 6, -28) # Cremona label: 178a1 # (4,6) (4,-10) # # a-invariants: (1, 0, 0, -554, -5068) # Cremona label: 178a2 # # # a-invariants: (1, 1, 0, -44, 80) # Cremona label: 178b1 # (-8,4) # # a-invariants: (1, 1, 0, -684, 6608) # Cremona label: 178b2 # (59/4,-59/8) # # a-invariants: (0, 0, 1, -1, -1) # Cremona label: 179a1 # # # a-invariants: (0, 0, 0, -12, -11) # Cremona label: 180a1 # (-1,0) # # a-invariants: (0, 0, 0, 33, -74) # Cremona label: 180a2 # (2,0) # # a-invariants: (0, 0, 0, -372, 2761) # Cremona label: 180a3 # (12,-5) (2,-45) (12,5) (2,45) (11,0) # # a-invariants: (0, 0, 0, -327, 3454) # Cremona label: 180a4 # (-22,0) (3,50) (3,-50) (23,-90) (23,90) # # a-invariants: (1, -1, 1, 866, 6445) # Cremona label: 182a1 # (25,-221) (25,195) (-7,3) # # a-invariants: (1, -1, 1, -4254, 59693) # Cremona label: 182a2 # (59/4,-63/8) (57,-29) (-71,35) # # a-invariants: (1, -1, 1, -31294, -2081875) # Cremona label: 182a3 # (-453/4,449/8) # # a-invariants: (1, -1, 1, -59134, 5547693) # Cremona label: 182a4 # (571/4,-575/8) # # a-invariants: (1, 0, 0, 7, -7) # Cremona label: 182b1 # (2,3) (2,-5) # # a-invariants: (1, 0, 0, -193, -1055) # Cremona label: 182b2 # (24,79) (24,-103) # # a-invariants: (1, 0, 0, -15663, -755809) # Cremona label: 182b3 # # # a-invariants: (1, 0, 1, -4609, 120244) # Cremona label: 182c1 # # # a-invariants: (1, -1, 1, 3, -5) # Cremona label: 182d1 # # # a-invariants: (1, -1, 0, -22, 884) # Cremona label: 182e1 # # # a-invariants: (0, -1, 0, 0, 1) # Cremona label: 184a1 # (0,-1) (0,1) (1,-1) (1,1) (4,-7) (4,7) (-3/4,1/8) (-3/4,-1/8) (28/9,-125/27) (28/9,125/27) (57/49,379/343) (57/49,-379/343) (-56/361,6763/6859) (-56/361,-6763/6859) (2641/16,135311/64) (2641/16,-135311/64) (119401/140625,49782851/52734375) (119401/140625,-49782851/52734375) # # a-invariants: (0, -1, 0, -4, 5) # Cremona label: 184b1 # (2,-1) (2,1) (1,-1) (1,1) (-2,1) (-2,-1) (5/4,5/8) (5/4,-5/8) (22/9,-53/27) (22/9,53/27) (41,259) (41,-259) (298/169,1243/2197) (298/169,-1243/2197) (241/400,-12511/8000) (241/400,12511/8000) (-2662/1849,-189853/79507) (-2662/1849,189853/79507) (35641/25281,1682981/4019679) (35641/25281,-1682981/4019679) (2837605/268324,4468472315/138991832) (2837605/268324,-4468472315/138991832) # # a-invariants: (0, 0, 0, 5, 6) # Cremona label: 184c1 # (-1,0) # # a-invariants: (0, 0, 0, -35, 62) # Cremona label: 184c2 # (2,0) # # a-invariants: (0, 0, 0, -55, -157) # Cremona label: 184d1 # # # a-invariants: (0, 1, 1, -156, 700) # Cremona label: 185a1 # (4,12) (4,-13) (7,0) (7,-1) (61/9,-1/27) (61/9,-26/27) (10,-16) (10,15) (-59/4,21/8) (-59/4,-29/8) (94/9,469/27) (94/9,-496/27) (5689/841,-25082/24389) (5689/841,693/24389) (6715/961,-27915/29791) (6715/961,-1876/29791) (42304/9801,-11374687/970299) (42304/9801,10404388/970299) (89857/16,-26938039/64) (89857/16,26937975/64) # # a-invariants: (0, -1, 1, -5, 6) # Cremona label: 185b1 # (0,2) (0,-3) (2,0) (2,-1) (5/4,-9/8) (5/4,1/8) (6,-13) (6,12) (-20/9,19/27) (-20/9,-46/27) (57/16,261/64) (57/16,-325/64) (500/361,-1702/6859) (500/361,-5157/6859) (1406/625,-25804/15625) (1406/625,10179/15625) (-4875/5476,1026703/405224) (-4875/5476,-1431927/405224) (61642/1521,15061825/59319) (61642/1521,-15121144/59319) (457080/693889,-1257632886/578009537) (457080/693889,679623349/578009537) # # a-invariants: (1, 0, 1, -4, -3) # Cremona label: 185c1 # (-1,0) (-5/4,3/8) (3,2) (-5/4,-1/8) (3,-6) (225/64,1717/512) (225/64,-4029/512) (-353/289,1896/4913) (-353/289,-808/4913) (371011/1089,-232204430/35937) (-373189/372100,12561879/226981000) (-373189/372100,-11897589/226981000) (371011/1089,219925130/35937) (5563681665/2113057024,98659783273687/97133005279232) (5563681665/2113057024,-451544107329639/97133005279232) # # a-invariants: (1, 0, 1, 1, -9) # Cremona label: 185c2 # (7/4,-11/8) (11,31) (11,-43) (3,3) (3,-7) (213/16,-3603/64) (213/16,2687/64) (11/4,-49/8) (11/4,19/8) (1363,49643) (1363,-51007) (1915/1089,-60851/35937) (1915/1089,-38281/35937) (1055367/114244,-1299886119/38614472) (60929/18496,9406373/2515456) (1055367/114244,904557601/38614472) (60929/18496,-20208173/2515456) (138052007179/405216900,49919277368775623/8157016197000) (138052007179/405216900,-52706421289485893/8157016197000) # # a-invariants: (1, 1, 0, -83, -369) # Cremona label: 186a1 # # # a-invariants: (1, 0, 0, 15, 9) # Cremona label: 186b1 # (0,-3) (0,3) (6,15) (6,-21) # # a-invariants: (1, 0, 0, -1395, -20181) # Cremona label: 186b2 # # # a-invariants: (1, 0, 1, -17, -28) # Cremona label: 186c1 # # # a-invariants: (0, 1, 1, 11, 30) # Cremona label: 187a1 # (0,-6) (0,5) # # a-invariants: (0, 1, 1, -99, -905) # Cremona label: 187a2 # # # a-invariants: (0, 0, 1, 7, 1) # Cremona label: 187b1 # # # a-invariants: (0, 0, 1, -3, 0) # Cremona label: 189a1 # (-1,1) (-1,-2) (2,-2) (2,1) (0,-1) (0,0) (5,10) (5,-11) (-7/4,-7/8) (-7/4,-1/8) (9,-27) (9,26) (-4/25,-169/125) (-4/25,44/125) (86/49,-386/343) (86/49,43/343) (-53/81,-1378/729) (-53/81,649/729) (1145/16,-38765/64) (1145/16,38701/64) (-2485/1849,68515/79507) (-2485/1849,-148022/79507) (7038/2809,-507518/148877) (7038/2809,358641/148877) (411209/126025,-246958073/44738875) (411209/126025,202219198/44738875) (-966879/611524,-726965307/478211768) (-966879/611524,248753539/478211768) (21432797/1002001,98398284986/1003003001) (21432797/1002001,-99401287987/1003003001) # # a-invariants: (0, 0, 1, -24, 45) # Cremona label: 189b1 # (3,-1) (3,0) (25/9,-10/27) (9/4,-17/8) (9/4,9/8) (-3,-10) (-3,9) (25/9,-17/27) (7713/2704,-71505/140608) (2311/441,-78364/9261) (2175/361,-78364/6859) (2311/441,69103/9261) (2175/361,71505/6859) (7713/2704,-69103/140608) (28414975271803/9590213595249,-26392809605086024255/29699040593262269943) (28414975271803/9590213595249,-3306230988176245688/29699040593262269943) # # a-invariants: (0, 0, 1, -54, -88) # Cremona label: 189b2 # (12,-32) (12,31) (-6,4) (-15/4,-67/8) (-2,3) (-2,-4) (-15/4,59/8) (-6,-5) (129/16,31/64) (129/16,-95/64) (48,328) (48,-329) (40,-249) (40,248) (-3102/529,57452/12167) (-1194/625,37579/15625) (-3102/529,-69619/12167) (-143/36,1621/216) (-143/36,-1837/216) (-1194/625,-53204/15625) (327297/64,187245761/512) (327297/64,-187246273/512) (56404/5041,9350169/357911) (56404/5041,-9708080/357911) (3494518273/430479504,-31008773293919/8931588748992) (3494518273/430479504,22077184544927/8931588748992) # # a-invariants: (0, 0, 1, -3834, -91375) # Cremona label: 189b3 # (-143/4,-5/8) (-143/4,-3/8) (1153/16,-5215/64) (1153/16,5151/64) (-425472911/11902500,-25557145813/41063625000) (-425472911/11902500,-15506479187/41063625000) # # a-invariants: (0, 0, 1, -6, 3) # Cremona label: 189c1 # (3,3) (3,-4) # # a-invariants: (0, 0, 1, -216, -1222) # Cremona label: 189c2 # # # a-invariants: (0, 0, 1, -426, 3384) # Cremona label: 189c3 # (12,-1) (12,0) # # a-invariants: (0, 0, 1, -27, -7) # Cremona label: 189d1 # # # a-invariants: (1, -1, 1, -48, 147) # Cremona label: 190a1 # (13,33) (13,-47) (5,1) (5,-7) (3,3) (3,-7) (-3,-15) (-3,17) (-7,13) (-7,-7) (1,9) (1,-11) (37/9,11/27) (37/9,-149/27) (7,-15) (7,7) (53,353) (53,-407) (45,273) (45,-319) (27/4,-111/8) (27/4,49/8) (101/25,-691/125) (101/25,61/125) (37/49,-3921/343) (37/49,3319/343) (-65/9,317/27) (-65/9,-149/27) (-443/169,36421/2197) (-443/169,-32859/2197) (377/121,3535/1331) (377/121,-9013/1331) (2697/529,-88869/12167) (2697/529,14671/12167) (5061/361,-365029/6859) (5061/361,262011/6859) (7043,587513) (7043,-594557) (16573/1369,1449205/50653) (16573/1369,-2113059/50653) (114877/23409,2950361/3581577) (114877/23409,-24108119/3581577) (11785/4096,-1900091/262144) (11785/4096,883707/262144) (-372579/55225,-108674349/12977875) (-372579/55225,183252539/12977875) # # a-invariants: (1, 1, 0, 2, 2) # Cremona label: 190b1 # (1,-3) (1,2) (-1,1) (-1,0) (-1/4,-9/8) (-1/4,11/8) (7,17) (7,-24) (49/9,-466/27) (49/9,319/27) (-23/64,-513/512) (-23/64,697/512) (-799/841,-3262/24389) (-799/841,26433/24389) (2087/1681,156056/68921) (2087/1681,-241623/68921) (96751/196,29455173/2744) (96751/196,-30809687/2744) (-12581599/93702400,1261333727559/907039232000) (-12581599/93702400,-1139543849239/907039232000) # # a-invariants: (1, 0, 0, -30, -100) # Cremona label: 190c1 # (10,20) (10,-30) # # a-invariants: (1, 0, 0, -2780, -56650) # Cremona label: 190c2 # # # a-invariants: (0, -1, 0, -4, -2) # Cremona label: 192a1 # (-1,0) (3,-2) (-3/4,1/8) (3,2) (-3/4,-1/8) (-209/225,764/3375) (209/16,2865/64) (-209/225,-764/3375) (209/16,-2865/64) (-169443/195364,-21947359/86350888) (169443/25921,-60252998/4173281) (-169443/195364,21947359/86350888) (169443/25921,60252998/4173281) # # a-invariants: (0, -1, 0, -9, 9) # Cremona label: 192a2 # (-3,0) (1,0) (3,0) (-1,4) (9,24) (0,3) (9,-24) (0,-3) (5,-8) (5,8) (-1,-4) (13/4,15/8) (-23/9,-80/27) (13/4,-15/8) (21/25,144/125) (-23/9,80/27) (51,360) (21/25,-144/125) (51,-360) (-360/169,-8211/2197) (1881/529,37128/12167) (191/289,-8372/4913) (-360/169,8211/2197) (1881/529,-37128/12167) (1205/49,40664/343) (191/289,8372/4913) (1205/49,-40664/343) (47281/3600,9620479/216000) (14881/43681,-22094880/9129329) (47281/3600,-9620479/216000) (14881/43681,22094880/9129329) (33774960493/5064030244,5111307385647345/360366520223528) (33774960493/5064030244,-5111307385647345/360366520223528) # # a-invariants: (0, -1, 0, -129, 609) # Cremona label: 192a3 # (7,0) (5,-8) (5,8) (61/9,8/27) (-11,-24) (11,20) (8,5) (61/9,-8/27) (-11,24) (8,-5) (11,-20) (709/100,723/1000) (709/100,-723/1000) (2285/361,16808/6859) (2285/361,-16808/6859) (463/9,9640/27) (125/121,-29032/1331) (463/9,-9640/27) (125/121,29032/1331) (2387341/363609,306445112/219256227) (1103291/152881,80547740/59776471) (210848/8281,-86522435/753571) (1103291/152881,-80547740/59776471) (2387341/363609,-306445112/219256227) (210848/8281,86522435/753571) # # a-invariants: (0, -1, 0, 31, 33) # Cremona label: 192a4 # (-1,0) (17,72) (1,8) (17,-72) (1,-8) (3,-12) (8,27) (8,-27) (3,12) (-31/49,-1224/343) (97,-952) (-31/49,1224/343) (97,952) (1271/25,45144/125) (-11/36,1045/216) (1271/25,-45144/125) (-11/36,-1045/216) (13633/2209,-2131016/103823) (13633/2209,2131016/103823) (38048/89401,181473453/26730899) (38048/89401,-181473453/26730899) (343443/14161,202653828/1685159) (343443/14161,-202653828/1685159) (1961601361/157251600,92601012008591/1971935064000) (1961601361/157251600,-92601012008591/1971935064000) # # a-invariants: (0, 1, 0, -4, 2) # Cremona label: 192b1 # (1,0) # # a-invariants: (0, 1, 0, -9, -9) # Cremona label: 192b2 # (-1,0) (-3,0) (3,0) # # a-invariants: (0, 1, 0, -129, -609) # Cremona label: 192b3 # (-7,0) # # a-invariants: (0, 1, 0, 31, -33) # Cremona label: 192b4 # (1,0) (7,24) (7,-24) # # a-invariants: (0, 1, 0, 3, 3) # Cremona label: 192c1 # (-1,0) # # a-invariants: (0, 1, 0, -17, 15) # Cremona label: 192c2 # (-5,0) (1,0) (3,0) # # a-invariants: (0, 1, 0, -97, -385) # Cremona label: 192c3 # (-5,0) (11,0) (-7,0) # # a-invariants: (0, 1, 0, -257, 1503) # Cremona label: 192c4 # (9,0) # # a-invariants: (0, 1, 0, -1537, -23713) # Cremona label: 192c5 # (-23,0) # # a-invariants: (0, 1, 0, 63, -1377) # Cremona label: 192c6 # (9,0) (27,144) (27,-144) # # a-invariants: (0, -1, 0, 3, -3) # Cremona label: 192d1 # (1,0) # # a-invariants: (0, -1, 0, -17, -15) # Cremona label: 192d2 # (-1,0) (-3,0) (5,0) # # a-invariants: (0, -1, 0, -257, -1503) # Cremona label: 192d3 # (-9,0) # # a-invariants: (0, -1, 0, -97, 385) # Cremona label: 192d4 # (7,0) (-11,0) (5,0) # # a-invariants: (0, -1, 0, -1537, 23713) # Cremona label: 192d5 # (23,0) (21,-16) (21,16) # # a-invariants: (0, -1, 0, 63, 1377) # Cremona label: 192d6 # (-9,0) # # a-invariants: (1, -1, 1, -3, -1) # Cremona label: 194a1 # (-1,0) # # a-invariants: (1, -1, 1, -13, 19) # Cremona label: 194a2 # (11/4,-15/8) # # a-invariants: (1, 0, 0, -110, 435) # Cremona label: 195a1 # (7,-8) (6,-3) (7,1) # # a-invariants: (1, 0, 0, -115, 392) # Cremona label: 195a2 # (-1,-22) (17,50) (-49/4,49/8) (-1,23) (8,-4) (17,-67) (4,-2) # # a-invariants: (1, 0, 0, -520, -4225) # Cremona label: 195a3 # (-65/4,65/8) (65,455) (26,-13) (65,-520) (-13,-13) (-10,5) (-13,26) # # a-invariants: (1, 0, 0, 210, 2277) # Cremona label: 195a4 # (12,-87) (12,75) (-33/4,33/8) # # a-invariants: (1, 0, 0, -8125, -282568) # Cremona label: 195a5 # (-209/4,209/8) (-52,26) (104,-52) # # a-invariants: (1, 0, 0, 605, -19750) # Cremona label: 195a6 # (62,-538) (62,476) (79/4,-79/8) # # a-invariants: (1, 0, 0, -130000, -18051943) # Cremona label: 195a7 # (-833/4,833/8) # # a-invariants: (1, 0, 0, -7930, -296725) # Cremona label: 195a8 # (415/4,-415/8) # # a-invariants: (0, 1, 1, 0, -1) # Cremona label: 195b1 # # # a-invariants: (0, 1, 1, -66, -349) # Cremona label: 195c1 # # # a-invariants: (0, -1, 1, -190, 1101) # Cremona label: 195d1 # # # a-invariants: (0, -1, 0, -2, 1) # Cremona label: 196a1 # (0,-1) (0,1) (2,-1) (2,1) (-1,1) (-1,-1) (6,13) (6,-13) (4/9,-1/27) (4/9,1/27) (21/4,-83/8) (21/4,83/8) (-52/49,307/343) (-52/49,-307/343) (350/169,2647/2197) (350/169,-2647/2197) (39/625,14587/15625) (39/625,-14587/15625) (8650/9,804077/27) (8650/9,-804077/27) # # a-invariants: (0, -1, 0, -142, 701) # Cremona label: 196a2 # (7,1) (7,-1) (29/4,-1/8) (29/4,1/8) (-1,29) (-1,-29) (145/16,-559/64) (145/16,559/64) (7855/1089,-197/35937) (7855/1089,197/35937) (28861/3364,-1243423/195112) (28861/3364,1243423/195112) (-77929/25921,-137888743/4173281) (-77929/25921,137888743/4173281) (145179713/19998784,15141790273/89434562048) (145179713/19998784,-15141790273/89434562048) # # a-invariants: (0, 1, 0, -114, -127) # Cremona label: 196b1 # (16,-49) (16,49) # # a-invariants: (0, 1, 0, -6974, -226507) # Cremona label: 196b2 # # # a-invariants: (0, 0, 1, -5, 4) # Cremona label: 197a1 # (1,-1) (1,0) (2,-2) (2,1) (-2,-3) (-2,2) (13/9,-8/27) (13/9,-19/27) (1/16,-159/64) (1/16,95/64) (149/25,-1768/125) (149/25,1643/125) (1126/961,-15205/29791) (1126/961,-14586/29791) (7258/1089,569222/35937) (7258/1089,-605159/35937) # # a-invariants: (1, -1, 0, -18, 4) # Cremona label: 198a1 # (-4,2) (-1,5) (8,-22) (8,14) (-1,-4) (0,2) (5,2) (0,-2) (5,-7) (44,266) (-13/4,49/8) (-13/4,-23/8) (44,-310) (-64/25,826/125) (21,82) (21,-103) (-64/25,-506/125) (23/121,-1121/1331) (776/169,-1678/2197) (776/169,-8410/2197) (23/121,868/1331) (-740/441,56218/9261) (-740/441,-40678/9261) (2945/256,119513/4096) (2945/256,-166633/4096) (110792/529,-38078042/12167) (110792/529,35529826/12167) (210021/34225,42732289/6331625) (-155584/346921,-657033622/204336469) (210021/34225,-81586174/6331625) (-155584/346921,748672598/204336469) (45325772/7689529,123831594626/21323063917) (45325772/7689529,-249519960382/21323063917) (876540965/5909761,24809491336007/14366628991) (876540965/5909761,-26940362421922/14366628991) # # a-invariants: (1, -1, 0, -198, 1120) # Cremona label: 198a2 # (-16,8) (8,-4) (35/4,-35/8) (11,-19) (6,-14) (17,-58) (2,-28) (11,8) (2,26) (17,41) (6,8) (9,-7) (194/25,-782/125) (83,-784) (83,701) (-10,-40) (-10,50) (194/25,-188/125) (9,-2) (368/49,-2584/343) (-56/9,1316/27) (368/49,8/343) (179/4,-2447/8) (-56/9,-1148/27) (593/64,-293/512) (179/4,2089/8) (593/64,-4451/512) (2438/361,-74776/6859) (13835/1369,-693280/50653) (2438/361,28454/6859) (561/25,-12299/125) (561/25,9494/125) (13835/1369,181385/50653) (-526/961,1052108/29791) (-526/961,-1035802/29791) (171233/289,69336598/4913) (171233/289,-72247559/4913) (179579/20449,-10544669/2924207) (179579/20449,-15135128/2924207) (1560889/112896,-1388785397/37933056) (1560889/112896,864326693/37933056) (115029317841/11873371225,-14518280367132106/1293781895532125) (115029317841/11873371225,1984110748587541/1293781895532125) # # a-invariants: (1, -1, 0, -3168, 69430) # Cremona label: 198a3 # (131/4,-131/8) (35,-40) (33,-14) (35,5) (33,-19) (819/25,-2032/125) (89,-742) (89,653) (819/25,-2063/125) (102785/3136,-2927525/175616) (102785/3136,-2828435/175616) (1963/36,45491/216) (1963/36,-57269/216) (910371/24025,123569504/3723875) (910371/24025,-264677009/3723875) (16239401/494209,-5322940429/347428927) (16239401/494209,-6093358474/347428927) # # a-invariants: (1, -1, 0, -108, 2074) # Cremona label: 198a4 # (-61/4,61/8) (-7,53) (59,-475) (59,416) (-7,-46) (15,-68) (5,-43) (15,53) (5,38) (71/4,-665/8) (53/16,-2779/64) (71/4,523/8) (53/16,2567/64) (-9,52) (2069/25,87937/125) (-9,-43) (2069/25,-98282/125) (2369,-116470) (2369,114101) (-4333/289,97864/4913) (-4333/289,-24203/4913) (8675/196,-849017/2744) (-2855/576,-652657/13824) (-2855/576,721177/13824) (8675/196,727567/2744) (191271/9025,72105596/857375) (2050469/1315609,-67083969094/1509003523) (191271/9025,-90276341/857375) (2050469/1315609,64732081151/1509003523) (-61488433/5654884,-509029171469/13447314152) (-61488433/5654884,655248665143/13447314152) # # a-invariants: (1, -1, 1, -50, -115) # Cremona label: 198b1 # (-3,1) # # a-invariants: (1, -1, 1, 40, -547) # Cremona label: 198b2 # (27/4,-31/8) # # a-invariants: (1, -1, 1, -725, 7661) # Cremona label: 198b3 # (19,-32) (19,12) (-3,100) (15,-8) (-3,-98) # # a-invariants: (1, -1, 1, -365, 15005) # Cremona label: 198b4 # (1,120) (-117/4,113/8) (45,-320) (45,274) (1,-122) # # a-invariants: (1, -1, 1, -65, 209) # Cremona label: 198c1 # (3,-8) (3,4) (7,-12) (7,4) (-9,4) # # a-invariants: (1, -1, 1, -1025, 12881) # Cremona label: 198c2 # (27,-80) (19,-8) (27,52) (19,-12) (75/4,-79/8) # # a-invariants: (1, -1, 1, -785, -8207) # Cremona label: 198c3 # (-17,8) # # a-invariants: (1, -1, 1, -1325, 4969) # Cremona label: 198c4 # (139/4,-143/8) # # a-invariants: (1, -1, 0, -87, 333) # Cremona label: 198d1 # (6,-3) (18,-75) (7,-9) (18,57) (7,2) # # a-invariants: (1, -1, 0, -147, -135) # Cremona label: 198d2 # (-3,18) (19,51) (-3,-15) (19,-70) (-45/4,45/8) # # a-invariants: (1, -1, 0, -582, -5068) # Cremona label: 198d3 # (28,-14) # # a-invariants: (1, -1, 0, -9222, -338572) # Cremona label: 198d4 # (-221/4,221/8) # # a-invariants: (1, -1, 0, -405, -2187) # Cremona label: 198e1 # (-6,3) # # a-invariants: (1, -1, 0, 1035, -15147) # Cremona label: 198e2 # (51/4,-51/8) # # a-invariants: (1, -1, 0, -90585, 10516473) # Cremona label: 198e3 # (174,-87) # # a-invariants: (1, -1, 0, -90495, 10538343) # Cremona label: 198e4 # (-1389/4,1389/8) # # a-invariants: (0, 0, 0, 125, -1250) # Cremona label: 200a1 # # # a-invariants: (0, 1, 0, -3, -2) # Cremona label: 200b1 # (-2,0) (-1,1) (3,5) (-1,-1) (3,-5) (-3/4,-5/8) (2,2) (-3/4,5/8) (2,-2) (-17/9,-19/27) (-17/9,19/27) (43,285) (43,-285) (89/16,-869/64) (-162/121,1580/1331) (89/16,869/64) (-162/121,-1580/1331) (2763/1681,31675/68921) (-769/1225,-7421/42875) (2763/1681,-31675/68921) (-769/1225,7421/42875) (34306/3249,-6560758/185193) (34306/3249,6560758/185193) (-1943857/1151329,1297362719/1235376017) (-1943857/1151329,-1297362719/1235376017) (-18332081681/14720726241,-2079439106371199/1786050994094289) (-18332081681/14720726241,2079439106371199/1786050994094289) # # a-invariants: (0, 1, 0, -28, 48) # Cremona label: 200b2 # (3,0) (2,2) (2,-2) (-2,10) (-2,-10) (8,20) (4,-4) (4,4) (8,-20) (22/9,10/27) (-6,6) (-6,-6) (22/9,-10/27) (23,-110) (23,110) (13/4,-11/8) (13/4,11/8) (22/49,-2050/343) (22/49,2050/343) (26/25,-574/125) (26/25,574/125) (388/9,-7676/27) (388/9,7676/27) (1128/361,6060/6859) (1128/361,-6060/6859) (3266/1369,-34742/50653) (3266/1369,34742/50653) (-4322/841,-221630/24389) (-4322/841,221630/24389) (12049/1936,1055519/85184) (12049/1936,-1055519/85184) (-154878/48841,-115730298/10793861) (659998/301401,232936210/165469149) (-154878/48841,115730298/10793861) (659998/301401,-232936210/165469149) (6210436/2059225,-846602884/2954987875) (6210436/2059225,846602884/2954987875) # # a-invariants: (0, 0, 0, -50, 125) # Cremona label: 200c1 # (10,25) (10,-25) (5,0) # # a-invariants: (0, 0, 0, -175, -750) # Cremona label: 200c2 # (15,0) (-5,0) (-10,0) # # a-invariants: (0, 0, 0, -2675, -53250) # Cremona label: 200c3 # (-30,0) # # a-invariants: (0, 0, 0, 325, -4250) # Cremona label: 200c4 # (10,0) # # a-invariants: (0, -1, 0, -83, -88) # Cremona label: 200d1 # (-8,0) # # a-invariants: (0, -1, 0, -708, 7412) # Cremona label: 200d2 # (17,0) # # a-invariants: (0, 0, 0, 5, -10) # Cremona label: 200e1 # # # a-invariants: (0, -1, 1, 2, 0) # Cremona label: 201a1 # (1,-2) (1,1) (0,-1) (0,0) (4,-8) (4,7) (5,-11) (5,10) (1/16,7/64) (1/16,-71/64) (21/25,106/125) (21/25,-231/125) (316,5608) (316,-5609) (520/441,11024/9261) (520/441,-20285/9261) (35385/10816,5711181/1124864) (35385/10816,-6836045/1124864) # # a-invariants: (1, 0, 0, -1, 2) # Cremona label: 201b1 # (-1,2) (-1,-1) (2,2) (2,-4) (1,-2) (1,1) (-1/4,-11/8) (-1/4,13/8) (17,-79) (17,62) (-14/9,38/27) (-14/9,4/27) (119/25,1018/125) (119/25,-1613/125) (89/256,4667/4096) (89/256,-6091/4096) (223/529,13289/12167) (223/529,-18418/12167) (9314/2209,693268/103823) (9314/2209,-1131026/103823) (226903/10404,-120170849/1061208) (226903/10404,97026743/1061208) (-677431/2019241,4857287254/2869341461) (-677431/2019241,-3894657803/2869341461) # # a-invariants: (1, 1, 0, -794, 8289) # Cremona label: 201c1 # (16,-9) (16,-7) (63/4,-57/8) (63/4,-69/8) (-32,63) (-32,-31) (9025/576,-126517/13824) (9025/576,-90083/13824) (5385663/8836,12245087457/830584) (5385663/8836,-12751339779/830584) # # a-invariants: (1, -1, 0, 4, -176) # Cremona label: 202a1 # # # a-invariants: (0, -1, 1, 20, -8) # Cremona label: 203a1 # (8,24) (1,-4) (1,3) (8,-25) # # a-invariants: (0, -1, 1, -2150, -37668) # Cremona label: 203a2 # # # a-invariants: (1, 1, 1, 0, -2) # Cremona label: 203b1 # (2,2) (2,-5) (1,-2) (1,0) (16,-75) (16,58) (23/4,-149/8) (23/4,95/8) (184/225,-3757/3375) (184/225,-2378/3375) (1337/361,40450/6859) (1337/361,-72712/6859) (68266/1681,-19545150/68921) (68266/1681,16677323/68921) (294289/238144,-319592179/116214272) (294289/238144,59764875/116214272) # # a-invariants: (1, 1, 0, -9, 8) # Cremona label: 203c1 # (-4,2) # # a-invariants: (1, 1, 0, -154, 675) # Cremona label: 203c2 # (27/4,-27/8) # # a-invariants: (0, -1, 0, -1621, -24623) # Cremona label: 204a1 # # # a-invariants: (0, 1, 0, -5, -9) # Cremona label: 204b1 # # # a-invariants: (1, -1, 1, -22, 44) # Cremona label: 205a1 # (2,-4) (3,-2) (2,1) (12,31) (11/4,-19/8) (-1,-8) (11/4,-11/8) (28/9,-68/27) (-1,8) (12,-44) (28/9,-43/27) (931/225,-20974/3375) (931/225,3634/3375) (993/256,1543/4096) (-862/169,7372/2197) (-862/169,1637/2197) (993/256,-21527/4096) (3938/1369,-99187/50653) (3938/1369,-97172/50653) (-557749/334084,-1589731259/193100552) (9868332/3129361,-14777961721/5535839609) (-557749/334084,1719009629/193100552) (4570108/480249,6626642212/332812557) (9868332/3129361,-8214957196/5535839609) (4570108/480249,-10126539613/332812557) (136916588163/222337921,-51652353049746782/3315280740031) (136916588163/222337921,49607474522908258/3315280740031) # # a-invariants: (1, -1, 1, -27, 26) # Cremona label: 205a2 # (5,-3) (-21/4,17/8) (1,-1) (6,4) (46,-331) (4/9,83/27) (46,284) (-4,-6) (6,-11) (-4,9) (4/9,-122/27) (689/64,-18387/512) (-39/25,1019/125) (-5/4,-59/8) (-39/25,-949/125) (109/9,823/27) (-5/4,61/8) (109/9,-1177/27) (689/64,12363/512) (-14636/3969,2330558/250047) (236/841,-121299/24389) (236/841,90066/24389) (4326/121,254159/1331) (4326/121,-303076/1331) (23566/3721,1227689/226981) (-14636/3969,-1658537/250047) (23566/3721,-2892196/226981) (2366405/961,-3676401933/29791) (2366405/961,3603013587/29791) (-1208639/231361,92001359/111284641) (288961/57600,-30120761/13824000) (288961/57600,-53053879/13824000) (-1208639/231361,378069359/111284641) (14532156842989/1502872490889,35450531075073184937/1842396935413170213) (14532156842989/1502872490889,-55108146130972901063/1842396935413170213) # # a-invariants: (1, -1, 1, -232, -1286) # Cremona label: 205a3 # (-37/4,33/8) (22,-74) (-8,6) (-8,1) (22,51) (47,276) (-77/9,202/27) (47,-324) (-77/9,2/27) (-1088/121,9131/1331) (-1088/121,1506/1331) (142,1606) (142,-1749) (10297/576,-33601/13824) (-781/100,3777/1000) (10297/576,-227351/13824) (-781/100,3033/1000) (88462/361,25374754/6859) (88462/361,-27062391/6859) (16697327/450241,54746086236/302111711) (-28061837/3337929,365863058/6098396283) (16697327/450241,-66252104364/302111711) (-28061837/3337929,44804716858/6098396283) (136305851521/55353600,-50822242157030951/411830784000) (136305851521/55353600,49807714790930711/411830784000) # # a-invariants: (1, -1, 1, 98, 126) # Cremona label: 205a4 # (9,36) (-5/4,1/8) (9,-46) (159/4,-2213/8) (409/9,-9032/27) (1,14) (1,-16) (21/16,951/64) (21/16,-1099/64) (409/9,7778/27) (159/4,1887/8) (355/36,8447/216) (13129/1600,-2720263/64000) (13129/1600,2131103/64000) (-1191/961,35094/29791) (355/36,-10793/216) (9849,972474) (9849,-982324) (-1191/961,-27964/29791) (24304249/14768649,-1042885401902/56755918107) (24304249/14768649,892728254888/56755918107) (3564961/101761,-7520707774/32461759) (3564961/101761,6351023456/32461759) (-16089694079/13326393600,-3093856214172439/1538398877184000) (-16089694079/13326393600,3412851621468199/1538398877184000) # # a-invariants: (1, 1, 1, -21, -46) # Cremona label: 205b1 # (-3,1) # # a-invariants: (1, 1, 1, -16, -62) # Cremona label: 205b2 # (19/4,-23/8) # # a-invariants: (1, 1, 0, -2, -1) # Cremona label: 205c1 # (-2,1) # # a-invariants: (1, 1, 0, -27, 44) # Cremona label: 205c2 # (11/4,-11/8) # # a-invariants: (1, 1, 0, 2, 0) # Cremona label: 206a1 # (0,0) # # a-invariants: (1, 1, 0, -8, -10) # Cremona label: 206a2 # (-5/4,5/8) # # a-invariants: (1, -1, 1, -5, 20) # Cremona label: 207a1 # (-3,1) (0,4) (0,-5) (6,10) (6,-17) (1,3) (1,-5) (15/4,35/8) (15/4,-73/8) (-66/25,467/125) (72,-644) (72,571) (-66/25,-262/125) (1365/121,-56341/1331) (-71/64,-2425/512) (1365/121,39995/1331) (-71/64,2481/512) (9720/5041,905549/357911) (20526/8281,-4656842/753571) (20526/8281,2035405/753571) (9720/5041,-1953580/357911) (332209/18225,162842453/2460375) (332209/18225,-210151043/2460375) # # a-invariants: (1, -1, 1, -140, 668) # Cremona label: 207a2 # (27/4,-31/8) (24,91) (6,1) (6,-8) (24,-116) (9,-14) (1,-24) (1,22) (9,4) (186/25,-631/125) (-12,28) (186/25,-424/125) (-12,-17) (-99/16,-2111/64) (-99/16,2443/64) (31/4,-57/8) (31/4,-13/8) (204/49,3268/343) (1986/169,-65447/2197) (1986/169,37432/2197) (204/49,-5039/343) (4777/729,-110096/19683) (4777/729,-38566/19683) (1809/25,-80158/125) (1809/25,70988/125) (114144/961,-40041971/29791) (114144/961,36473716/29791) (102001/7744,16568293/681472) (102001/7744,-26225853/681472) (-2151858/494209,-11346276824/347428927) (-2151858/494209,12511604071/347428927) (309196449/41744521,-1254050861764/269711350181) (309196449/41744521,-1013378745406/269711350181) # # a-invariants: (0, -1, 0, 8, -16) # Cremona label: 208a1 # (4,-8) (4,8) (2,2) (2,-2) (20,88) (20,-88) (13,46) (13,-46) (148/81,856/729) (148/81,-856/729) (610/121,15002/1331) (610/121,-15002/1331) (16388/49,-2094856/343) (16388/49,2094856/343) (27521/8464,4528231/778688) (27521/8464,-4528231/778688) # # a-invariants: (0, -1, 0, -72, 496) # Cremona label: 208a2 # (36,208) (36,-208) (10,26) (10,-26) (4,-16) (4,16) (-3,26) (-3,-26) (-92/9,208/27) (-92/9,-208/27) (-6,-26) (-6,26) (100/49,6448/343) (100/49,-6448/343) (121/16,1157/64) (121/16,-1157/64) (516/25,10736/125) (516/25,-10736/125) (2794/9,-147394/27) (2794/9,147394/27) (29220/361,-4938544/6859) (29220/361,4938544/6859) (2341/169,-97382/2197) (2341/169,97382/2197) (-10422/47089,231185942/10218313) (-10422/47089,-231185942/10218313) (-952124/110889,745385968/36926037) (-952124/110889,-745385968/36926037) (64124314/11256025,-582911426162/37763963875) (64124314/11256025,582911426162/37763963875) # # a-invariants: (0, -1, 0, -7352, 245104) # Cremona label: 208a3 # (60,128) (60,-128) (50,-2) (50,2) (1244/25,128/125) (1244/25,-128/125) (45,-58) (45,58) (-740/9,14464/27) (-740/9,-14464/27) (786/25,-26234/125) (786/25,26234/125) (701180/14161,6670208/1685159) (701180/14161,-6670208/1685159) (671105/13456,877273/1560896) (671105/13456,-877273/1560896) (1869356291757810/38454993061681,3552475913953301896238/238467449069033772329) (1869356291757810/38454993061681,-3552475913953301896238/238467449069033772329) # # a-invariants: (0, -1, 0, -16, 32) # Cremona label: 208b1 # (4,-4) (4,4) (2,-2) (2,2) (-4,-4) (-4,4) (1,4) (1,-4) (28/9,44/27) (28/9,-44/27) (34,194) (34,-194) (164/25,1612/125) (164/25,-1612/125) (161/64,-593/512) (161/64,593/512) (-668/361,49388/6859) (-668/361,-49388/6859) (-926/1089,-239102/35937) (-926/1089,239102/35937) (2034236/117649,-2744570212/40353607) (2034236/117649,2744570212/40353607) (11801794/4060225,-10356032578/8181353375) (11801794/4060225,10356032578/8181353375) # # a-invariants: (0, 0, 0, 1, 10) # Cremona label: 208c1 # (-2,0) # # a-invariants: (0, 0, 0, -4, 3) # Cremona label: 208c2 # (1,0) # # a-invariants: (0, 0, 0, -43, -166) # Cremona label: 208d1 # # # a-invariants: (0, 0, 0, -3403, 83834) # Cremona label: 208d2 # # # a-invariants: (0, 1, 1, -27, 55) # Cremona label: 209a1 # (1,5) (1,-6) (37/4,-213/8) (-5,9) (31/9,91/27) (31/9,-118/27) (37/4,205/8) (-5,-10) (13,45) (49/16,-241/64) (13,-46) (-35/9,278/27) (49/16,177/64) (-35/9,-305/27) (8539/25,-790187/125) (109/324,36775/5832) (2839/1849,-393277/79507) (2839/1849,313770/79507) (8539/25,790062/125) (109/324,-42607/5832) (32449/8281,3388958/753571) (-136055/23104,21726907/3511808) (177433/25281,-66915829/4019679) (-136055/23104,-25238715/3511808) (32449/8281,-4142529/753571) (177433/25281,62896150/4019679) (335777227/16867449,-6153883249733/69274613043) (335777227/16867449,6084608636690/69274613043) # # a-invariants: (0, 1, 1, 193, -308) # Cremona label: 209a2 # (2,9) (2,-10) (116,-1264) (116,1263) (205/36,-6967/216) (205/36,6751/216) (1352/49,55964/343) (1352/49,-56307/343) (1838/121,-106809/1331) (1838/121,105478/1331) (1465/144,-92501/1728) (1465/144,90773/1728) (5113590589/14976900,366476504829713/57960603000) (5113590589/14976900,-366534465432713/57960603000) (14743323145825/4836867706944,184421743188583097807/10637665105469455872) (14743323145825/4836867706944,-195059408294052553679/10637665105469455872) # # a-invariants: (1, 0, 0, -41, -39) # Cremona label: 210a1 # (-2,-5) (-2,7) (10,19) (-6,3) (10,-29) # # a-invariants: (1, 0, 0, -361, 2585) # Cremona label: 210a2 # (38,191) (-4,65) (14,11) (-22,11) (47/4,-47/8) (8,-19) (38,-229) (-4,-61) (8,11) (14,-25) (10,-5) # # a-invariants: (1, 0, 0, -2681, -53655) # Cremona label: 210a3 # (-30,15) # # a-invariants: (1, 0, 0, -5761, 167825) # Cremona label: 210a4 # (56,-175) (175/4,-175/8) (56,119) (44,-25) (44,-19) # # a-invariants: (1, 0, 0, -81, 6561) # Cremona label: 210a5 # (0,81) (0,-81) (36,-243) (-81/4,81/8) (36,207) # # a-invariants: (1, 0, 0, -2701, -52819) # Cremona label: 210a6 # (-34,17) (239/4,-239/8) (-26,13) # # a-invariants: (1, 0, 0, -6451, 124931) # Cremona label: 210a7 # (271/4,-271/8) # # a-invariants: (1, 0, 0, 729, -176985) # Cremona label: 210a8 # (207/4,-207/8) # # a-invariants: (1, 0, 1, -498, 4228) # Cremona label: 210b1 # (14,-15) (29,105) (14,0) (29,-135) (13,-7) # # a-invariants: (1, 0, 1, -578, 2756) # Cremona label: 210b2 # (30,-128) (0,52) (105,-1103) (0,-53) (5,-3) (-105/4,101/8) (-15,-83) (21,-11) (30,97) (105,997) (-15,97) # # a-invariants: (1, 0, 1, -1473, -16652) # Cremona label: 210b3 # (43,-22) # # a-invariants: (1, 0, 1, -4358, -109132) # Cremona label: 210b4 # (-36,55) (-36,-20) (-169/4,165/8) (114,-995) (114,880) # # a-invariants: (1, 0, 1, 1922, 20756) # Cremona label: 210b5 # (10,197) (100,1052) (-5,107) (-41/4,37/8) (415,-8713) (415,8297) (37,-397) (100,-1153) (37,359) (10,-208) (-5,-103) # # a-invariants: (1, 0, 1, -21953, -1253644) # Cremona label: 210b6 # (171,-86) (-85,42) (-345/4,341/8) # # a-invariants: (1, 0, 1, -351233, -80149132) # Cremona label: 210b7 # (-1369/4,1365/8) # # a-invariants: (1, 0, 1, -20353, -1443724) # Cremona label: 210b8 # (679/4,-683/8) (427,8018) (427,-8446) # # a-invariants: (1, 1, 1, 10, -13) # Cremona label: 210c1 # (5,-17) (1,-1) (5,11) # # a-invariants: (1, 1, 1, -70, -205) # Cremona label: 210c2 # (9,-5) (23,93) (-5,9) (-7,3) (-13/4,9/8) (23,-117) (-5,-5) # # a-invariants: (1, 1, 1, -1050, -13533) # Cremona label: 210c3 # (37,-19) (-19,9) (-77/4,73/8) # # a-invariants: (1, 1, 1, -370, 2435) # Cremona label: 210c4 # (25,85) (25,-111) (51/4,-55/8) # # a-invariants: (1, 1, 1, -16800, -845133) # Cremona label: 210c5 # (-301/4,297/8) # # a-invariants: (1, 1, 1, -980, -15325) # Cremona label: 210c6 # (147/4,-151/8) # # a-invariants: (1, 1, 0, -3, -3) # Cremona label: 210d1 # (-2,1) (2,-3) (-1,0) (-1,1) (2,1) (-14/9,-5/27) (7,-23) (7,16) (-14/9,47/27) (-103/64,897/512) (206/25,2589/125) (206/25,-3619/125) (-103/64,-73/512) (-5774/5929,417845/456533) (-5774/5929,26753/456533) (2887/1521,40223/59319) (2887/1521,-152816/59319) (1212482/961,1316963871/29791) (1212482/961,-1354550813/29791) (-606241/303601,185807271/167284151) (-606241/303601,148231520/167284151) # # a-invariants: (1, 1, 0, -23, 33) # Cremona label: 210d2 # (11/4,-11/8) (2,-1) (-6,3) (8,17) (-1,8) (4,-7) (1,3) (-1,-7) (4,3) (1,-4) (8,-25) (-4,11) (-4,-7) (29,-172) (3,0) (29,143) (3,-3) (16/9,11/27) (16/9,-59/27) (34,-217) (34,183) (29/16,-133/64) (74/25,-353/125) (74/25,-17/125) (29/16,17/64) (-17/4,87/8) (-17/4,-53/8) (44/49,1133/343) (701/169,7571/2197) (44/49,-1441/343) (67/9,-601/27) (-96/121,-9027/1331) (701/169,-16684/2197) (67/9,400/27) (-96/121,10083/1331) (1681/841,-26436/24389) (5048,356177) (-2161/361,27272/6859) (2644/961,-43737/29791) (-2161/361,13787/6859) (2644/961,-38227/29791) (5048,-361225) (1681/841,-22313/24389) (13809/1600,1252443/64000) (13809/1600,-1804803/64000) (-28454/23409,-25798069/3581577) (-28454/23409,30151531/3581577) (26370787/9018009,-72060480400/27081081027) (26370787/9018009,-7130992961/27081081027) (368111671203/291760561,220306615460978400/4983562142441) (368111671203/291760561,-226594330916796843/4983562142441) # # a-invariants: (1, 1, 0, -373, 2623) # Cremona label: 210d3 # (43/4,-43/8) (13,7) (13,-20) (11,-7) (11,-4) (31,133) (97/9,-151/27) (97/9,-140/27) (31,-164) (143/4,1387/8) (4309/400,-44467/8000) (143/4,-1673/8) (4309/400,-41713/8000) (13777/1089,180860/35937) (91471/8281,-2829737/753571) (91471/8281,-5494124/753571) (13777/1089,-635501/35937) (8688251/808201,-3911146373/726572699) (8688251/808201,-3899591276/726572699) (1822333/361,-2477635580/6859) (1822333/361,2443011253/6859) (502454881/37454400,-5222005714331/229220928000) (502454881/37454400,2146981842611/229220928000) # # a-invariants: (1, 1, 0, 7, 147) # Cremona label: 210d4 # (-21/4,21/8) (7,21) (1,-13) (7,-28) (1,12) (259/9,-4676/27) (-3,12) (-3,-9) (259/9,3899/27) (-329/100,11739/1000) (541/16,-13957/64) (541/16,11793/64) (-329/100,-8449/1000) (27699/20449,-39114516/2924207) (2797/441,-235789/9261) (2797/441,177052/9261) (27699/20449,35153559/2924207) (-1816079/346921,315072903/204336469) (-1816079/346921,754597628/204336469) (4245367/841,8686802929/24389) (4245367/841,-8809918572/24389) # # a-invariants: (1, 0, 0, 210, 900) # Cremona label: 210e1 # (12,66) (60,450) (0,-30) (12,-78) (60,-510) (-4,2) (0,30) # # a-invariants: (1, 0, 0, -1070, 7812) # Cremona label: 210e2 # (4,-62) (-26,-122) (244,-3902) (34,88) (4,58) (28,-14) (-8,-122) (-36,18) (-26,148) (34,-122) (64,-482) (64,418) (244,3658) (31/4,-31/8) (-8,130) # # a-invariants: (1, 0, 0, -7550, -247500) # Cremona label: 210e3 # (250,-3800) (-50,100) (-50,-50) (100,-50) (-44,22) (250,3550) (-225/4,225/8) # # a-invariants: (1, 0, 0, -15070, 710612) # Cremona label: 210e4 # (92,278) (92,-370) (254,-3772) (74,8) (254,3518) (74,-82) (287/4,-287/8) # # a-invariants: (1, 0, 0, -120050, -16020000) # Cremona label: 210e5 # (400,-200) (-200,100) (-801/4,801/8) # # a-invariants: (1, 0, 0, 1270, -789048) # Cremona label: 210e6 # (244,-3872) (244,3628) (351/4,-351/8) # # a-invariants: (1, 0, 0, -1920800, -1024800150) # Cremona label: 210e7 # (-3201/4,3201/8) # # a-invariants: (1, 0, 0, -119300, -16229850) # Cremona label: 210e8 # (1599/4,-1599/8) # # a-invariants: (0, -1, 0, -4, 8) # Cremona label: 212a1 # (2,-2) (2,2) (-2,-2) (-2,2) (1,-2) (1,2) (14,-50) (14,50) (34/9,-154/27) (34/9,154/27) (-7/16,197/64) (-7/16,-197/64) (-62/169,-6694/2197) (-62/169,6694/2197) (2446/625,-95006/15625) (2446/625,95006/15625) (6833/529,536534/12167) (6833/529,-536534/12167) (50878/53361,-25092082/12326391) (50878/53361,25092082/12326391) # # a-invariants: (0, -1, 0, -12, -40) # Cremona label: 212b1 # (5,0) # # a-invariants: (0, -1, 0, -17, -22) # Cremona label: 212b2 # (-2,0) # # a-invariants: (1, 0, 1, 0, 1) # Cremona label: 213a1 # (-1,0) # # a-invariants: (1, 0, 1, -15, 19) # Cremona label: 213a2 # (7/4,-11/8) # # a-invariants: (1, 0, 0, -12, 16) # Cremona label: 214a1 # (0,4) (0,-4) (2,0) (2,-2) (4,-8) (4,4) (-4,4) (-4,0) (6,10) (6,-16) (16/9,-52/27) (16/9,4/27) (3/4,-25/8) (3/4,19/8) (80,676) (80,-756) (-26/25,-592/125) (-26/25,722/125) (380/169,352/2197) (380/169,-5292/2197) (1092/361,-31700/6859) (1092/361,10952/6859) (-1406/441,60502/9261) (-1406/441,-30976/9261) (14784/1369,-2009780/50653) (14784/1369,1462772/50653) (11729/7744,-1448685/681472) (11729/7744,416533/681472) # # a-invariants: (1, 0, 1, 1, 0) # Cremona label: 214b1 # (0,-1) (0,0) (2,2) (2,-5) (7/4,13/8) (7/4,-35/8) (2/49,-370/343) (2/49,13/343) (672,-17760) (672,17087) (-335/9216,-34841/884736) (-335/9216,-817735/884736) (257376/112225,-217225056/37595375) (257376/112225,93408721/37595375) # # a-invariants: (1, 0, 1, -193, 1012) # Cremona label: 214c1 # (11,-22) (11,10) (8,-4) (8,-5) (67/9,-50/27) (67/9,-178/27) (-4,43) (-4,-40) (-109/25,-5054/125) (-109/25,5474/125) (1069/144,-3011/1728) (1069/144,-11545/1728) (4370011/81,-9155006918/729) (4370011/81,9115676090/729) (30148064/2706025,-101707597228/4451411125) (30148064/2706025,47662620823/4451411125) # # a-invariants: (1, 0, 0, 2, 4) # Cremona label: 214d1 # (0,-2) (0,2) # # a-invariants: (1, 0, 0, -18, -112) # Cremona label: 214d2 # # # a-invariants: (0, 0, 1, -8, -12) # Cremona label: 215a1 # (6,-13) (6,12) (4,4) (4,-5) (249/4,-3929/8) (249/4,3921/8) (952/81,-28765/729) (952/81,28036/729) # # a-invariants: (0, 0, 0, -12, 20) # Cremona label: 216a1 # (-2,-6) (-2,6) (4,-6) (4,6) (2,-2) (2,2) (1,-3) (1,3) (10,-30) (10,30) (-4,-2) (-4,2) (22,102) (22,-102) (1/4,-33/8) (1/4,33/8) (22/9,-62/27) (22/9,62/27) (76/25,426/125) (76/25,-426/125) (-38/49,-1842/343) (-38/49,1842/343) (89,-839) (89,839) (-542/169,11094/2197) (-542/169,-11094/2197) (1684/289,59754/4913) (1684/289,-59754/4913) (1310/841,-55010/24389) (1310/841,55010/24389) (3001/1936,-192813/85184) (3001/1936,192813/85184) (-27884/8649,4036078/804357) (-27884/8649,-4036078/804357) (387202/4489,240747978/300763) (387202/4489,-240747978/300763) (-95471/126025,239492667/44738875) (-95471/126025,-239492667/44738875) (1837898/606841,-1598696966/472729139) (1837898/606841,1598696966/472729139) (5720194684/577777369,-410013736656486/13888034618653) (5720194684/577777369,410013736656486/13888034618653) # # a-invariants: (0, 0, 0, -3, -34) # Cremona label: 216b1 # # # a-invariants: (0, 0, 0, -27, 918) # Cremona label: 216c1 # # # a-invariants: (0, 0, 0, -108, -540) # Cremona label: 216d1 # # # a-invariants: (1, 0, 0, -2, 4) # Cremona label: 218a1 # (0,2) (0,-2) (-2,0) (-2,2) (2,2) (4,6) (2,-4) (4,-10) (24,106) (3/4,11/8) (-8/9,74/27) (-8/9,-50/27) (24,-130) (3/4,-17/8) (-220/169,6254/2197) (130/121,-3162/1331) (286/25,4144/125) (-220/169,-3394/2197) (130/121,1732/1331) (286/25,-5574/125) (13216/8649,-2430230/804357) (20832/3481,-3628186/205379) (13216/8649,1201142/804357) (-5487/3136,453125/175616) (20832/3481,2399098/205379) (-5487/3136,-145853/175616) (653948515/245799684,11794741545709/3853647445752) (653948515/245799684,-22047346363879/3853647445752) # # a-invariants: (1, 0, 0, 18, -104) # Cremona label: 218a2 # (36,200) (36,-236) (35/4,-253/8) (35/4,183/8) (4,-8) (4,4) (233/64,921/512) (233/64,-2785/512) (2532/361,109580/6859) (2532/361,-157688/6859) (859/36,23029/216) (859/36,-28183/216) (374820/529,-233829332/12167) (374820/529,225208472/12167) (4455929/73984,8840578827/20123648) (4455929/73984,-10052591515/20123648) (5732164/511225,12290058808/365525875) (5732164/511225,-16388556068/365525875) (544105153201/94416081984,-493282182473669203/29011418343387648) (544105153201/94416081984,326093903839291531/29011418343387648) # # a-invariants: (0, -1, 1, -6, 8) # Cremona label: 219a1 # (2,-1) (2,0) (1,-2) (1,1) (-1,3) (-1,-4) (16/9,-8/27) (16/9,-19/27) (29/4,133/8) (29/4,-141/8) (148/49,-1175/343) (148/49,832/343) (1019/625,-1897/15625) (1019/625,-13728/15625) (-2747/1089,-53387/35937) (-2747/1089,17450/35937) # # a-invariants: (0, 1, 1, 3, 2) # Cremona label: 219b1 # (0,-2) (0,1) (-3/4,-1/8) (-3/4,-7/8) (6,-17) (6,16) (2,4) (2,-5) (297/16,5245/64) (-44/81,-998/729) (108/121,-4042/1331) (297/16,-5309/64) (108/121,2711/1331) (-44/81,269/729) (41406/70225,30484504/18609625) (163770/4489,67102228/300763) (41406/70225,-49094129/18609625) (163770/4489,-67402991/300763) # # a-invariants: (0, 1, 1, -27, -85) # Cremona label: 219b2 # (23,109) (23,-110) (61/9,-269/27) (61/9,242/27) (29/4,95/8) (29/4,-103/8) (12625/441,1412774/9261) (12625/441,-1422035/9261) (613715/289,-480898315/4913) (613715/289,480893402/4913) (2965681/156816,-5047747471/62099136) (2965681/156816,4985648335/62099136) # # a-invariants: (1, 1, 0, -82, -305) # Cremona label: 219c1 # (10,-5) (-83/16,-77/64) (-6,-1) (-83/16,409/64) (-6,7) (809/64,-18407/512) (809/64,11935/512) (17242/169,2156575/2197) (17242/169,-2380721/2197) # # a-invariants: (1, 1, 0, -1297, -18530) # Cremona label: 219c2 # (-85/4,85/8) (-339/16,665/64) (207/4,1691/8) (-339/16,691/64) (207/4,-2105/8) (1132049/10816,-1187083637/1124864) (1132049/10816,1069350541/1124864) # # a-invariants: (0, 1, 0, -45, 100) # Cremona label: 220a1 # (4,0) (5,-5) (5,5) (15,55) (15,-55) (3,1) (-7,-11) (25/9,55/27) (-5,-15) (3,-1) (0,-10) (-7,11) (-5,15) (5/4,-55/8) (0,10) (25/9,-55/27) (5/4,55/8) (29,155) (65/16,-55/64) (85/9,-665/27) (65/16,55/64) (85/9,665/27) (111/25,341/125) (180,2420) (295/49,-3135/343) (29,-155) (180,-2420) (295/49,3135/343) (111/25,-341/125) (1995/841,85285/24389) (10745/3481,-38335/205379) (-563/324,77363/5832) (-2325/289,12095/4913) (1995/841,-85285/24389) (352/169,9738/2197) (352/169,-9738/2197) (10745/3481,38335/205379) (-3775/1369,-735295/50653) (-2325/289,-12095/4913) (-563/324,-77363/5832) (-3775/1369,735295/50653) (190349/24025,64884143/3723875) (190349/24025,-64884143/3723875) (347945/7744,-205351435/681472) (347945/7744,205351435/681472) (659605/159201,-86282155/63521199) (659605/159201,86282155/63521199) (1260857543285/1691101129,1416682659139948985/69543151727867) (1260857543285/1691101129,-1416682659139948985/69543151727867) # # a-invariants: (0, 1, 0, -100, -252) # Cremona label: 220a2 # (16,-50) (-4,-10) (-9,0) (16,50) (-4,10) (116,-1250) (-11/4,25/8) (11,10) (-8,-10) (-8,10) (36,210) (-56/9,350/27) (-11/4,-25/8) (11,-10) (36,-210) (-56/9,-350/27) (116,1250) (-1044/361,31710/6859) (-5524/961,-383750/29791) (-1044/361,-31710/6859) (736/25,-19034/125) (5056/441,143450/9261) (-5524/961,383750/29791) (2881/16,-154825/64) (736/25,19034/125) (-1009/121,11260/1331) (5056/441,-143450/9261) (2881/16,154825/64) (-1009/121,-11260/1331) (-5048936/1151329,-13613168650/1235376017) (-5048936/1151329,13613168650/1235376017) (-200123/54756,113174495/12812904) (5014916/1681,11232225890/68921) (-9012056/1006009,2295719150/1009027027) (5014916/1681,-11232225890/68921) (-9012056/1006009,-2295719150/1009027027) (-200123/54756,-113174495/12812904) # # a-invariants: (0, 1, 0, -445, -3720) # Cremona label: 220a3 # (24,0) (-467/36,-1331/216) (-467/36,1331/216) (-12,6) (-12,-6) (4681/144,-226765/1728) (221064/1225,-103482588/42875) (4681/144,226765/1728) (221064/1225,103482588/42875) (-558211692/41075281,-401798478654/263251475929) (-17614756547/1544018436,87226887172139/60670660424184) (-17614756547/1544018436,-87226887172139/60670660424184) (-558211692/41075281,401798478654/263251475929) (1392020108088481/29619282369600,45985116360113532642671/161198797597016256000) (1392020108088481/29619282369600,-45985116360113532642671/161198797597016256000) # # a-invariants: (0, 1, 0, -7100, -232652) # Cremona label: 220a4 # (-49,0) (131,-1050) (131,1050) (-1763/36,-35/216) (-1763/36,35/216) (33333841/176400,-169095362689/74088000) (-2056012609/41977441,54807881100/271971840239) (33333841/176400,169095362689/74088000) (-2056012609/41977441,-54807881100/271971840239) (-3107524005622500803/63420991127880516,-1414772268612628671426205/15971640902253607205466936) (-3107524005622500803/63420991127880516,1414772268612628671426205/15971640902253607205466936) # # a-invariants: (0, -1, 0, -5, 2) # Cremona label: 220b1 # (-2,0) # # a-invariants: (0, -1, 0, -60, 200) # Cremona label: 220b2 # (5,0) # # a-invariants: (1, -1, 1, -733, 7804) # Cremona label: 221a1 # (-31,15) # # a-invariants: (1, -1, 1, -11718, 491144) # Cremona label: 221a2 # (251/4,-255/8) # # a-invariants: (1, 1, 0, -59, 152) # Cremona label: 221b1 # (4,-2) # # a-invariants: (1, 1, 0, -54, 185) # Cremona label: 221b2 # (-37/4,37/8) # # a-invariants: (1, 0, 0, 2, -4) # Cremona label: 222a1 # (2,2) (2,-4) # # a-invariants: (1, 0, 0, -148, -706) # Cremona label: 222a2 # # # a-invariants: (1, 1, 1, 17, 179) # Cremona label: 222b1 # # # a-invariants: (1, 1, 0, 16, 0) # Cremona label: 222c1 # (0,0) # # a-invariants: (1, 1, 0, -64, -80) # Cremona label: 222c2 # (8,-4) (-8,4) (-5/4,5/8) # # a-invariants: (1, 1, 0, -804, -9108) # Cremona label: 222c3 # (-69/4,69/8) # # a-invariants: (1, 1, 0, -604, 5428) # Cremona label: 222c4 # (59/4,-59/8) (24,62) (24,-86) # # a-invariants: (1, 0, 1, 1, -46) # Cremona label: 222d1 # # # a-invariants: (1, 1, 0, -182317, 29887645) # Cremona label: 222e1 # # # a-invariants: (0, 1, 0, 2, 0) # Cremona label: 224a1 # (0,0) (1,-2) (2,4) (1,2) (2,-4) (1/16,23/64) (32,184) (32,-184) (1/16,-23/64) (450/961,-33420/29791) (961/225,-34534/3375) (450/961,33420/29791) (961/225,34534/3375) (261121/33856,143914463/6229504) (261121/33856,-143914463/6229504) # # a-invariants: (0, 1, 0, -8, -8) # Cremona label: 224a2 # (-1,0) (-2,-2) (-2,2) (6,14) (6,-14) (3,-2) (-11/4,7/8) (3,2) (-11/4,-7/8) (-34/25,-186/125) (166/9,-2170/27) (166/9,2170/27) (-34/25,186/125) (513/16,-11753/64) (513/16,11753/64) (-641/529,-14308/12167) (-641/529,14308/12167) (1024771/216225,-916009894/100544625) (1024771/216225,916009894/100544625) (1247265606/3845521,44115415692446/7541066681) (1247265606/3845521,-44115415692446/7541066681) # # a-invariants: (0, -1, 0, 2, 0) # Cremona label: 224b1 # (0,0) # # a-invariants: (0, -1, 0, -8, 8) # Cremona label: 224b2 # (1,0) # # a-invariants: (0, 0, 1, 0, 1) # Cremona label: 225a1 # (1,-2) (1,1) (-1,-1) (-1,0) (1/4,5/8) (1/4,-13/8) (11,-37) (11,36) (61/25,-559/125) (61/25,434/125) (-71/144,973/1728) (-71/144,-2701/1728) (-779/1849,46438/79507) (-779/1849,-125945/79507) # # a-invariants: (0, 0, 1, 0, -34) # Cremona label: 225a2 # (6,13) (6,-14) (4,-6) (4,5) (321/4,5747/8) (321/4,-5755/8) (1336/121,47551/1331) (1336/121,-48882/1331) (305106/93025,20931629/28372625) (305106/93025,-49304254/28372625) (14572009/725904,-55819243691/618470208) (14572009/725904,55200773483/618470208) (31134086106/1122049009,5470430228135717/37585275654473) (31134086106/1122049009,-5508015503790190/37585275654473) # # a-invariants: (0, 0, 1, 0, 156) # Cremona label: 225b1 # (0,-13) (0,12) # # a-invariants: (0, 0, 1, 0, -4219) # Cremona label: 225b2 # # # a-invariants: (1, -1, 1, -5, -628) # Cremona label: 225c1 # (24,100) (24,-125) (9,-5) # # a-invariants: (1, -1, 1, -1130, -14128) # Cremona label: 225c2 # (-21,10) (39,-20) (-69/4,65/8) # # a-invariants: (1, -1, 1, -18005, -925378) # Cremona label: 225c3 # (-309/4,305/8) # # a-invariants: (1, -1, 1, -2255, 19622) # Cremona label: 225c4 # (9,-5) (-51,25) (171/4,-175/8) # # a-invariants: (1, -1, 1, -30380, 2044622) # Cremona label: 225c5 # (99,-50) (411/4,-415/8) (-201,100) # # a-invariants: (1, -1, 1, 7870, 141122) # Cremona label: 225c6 # (-69/4,65/8) # # a-invariants: (1, -1, 1, -486005, 130530872) # Cremona label: 225c7 # (1611/4,-1615/8) # # a-invariants: (1, -1, 1, -24755, 2820872) # Cremona label: 225c8 # (-789/4,785/8) # # a-invariants: (0, 0, 1, 15, -99) # Cremona label: 225d1 # # # a-invariants: (0, 0, 1, -1875, 32031) # Cremona label: 225d2 # # # a-invariants: (0, 0, 1, -75, 256) # Cremona label: 225e1 # (-5,-23) (-5,22) (10,22) (10,-23) (4,4) (4,-5) (5,-3) (5,2) (25/4,41/8) (25/4,-49/8) (1,-14) (1,13) (40,-248) (40,247) (-10,2) (-10,-3) (31,166) (31,-167) (25/16,733/64) (25/16,-797/64) (295/49,-1814/343) (295/49,1471/343) (46/9,-82/27) (46/9,55/27) (640/169,10219/2197) (640/169,-12416/2197) (1345/121,36887/1331) (1345/121,-38218/1331) (-599/100,-22649/1000) (-599/100,21649/1000) (2045,-92478) (2045,92477) (-6740/1681,-1563988/68921) (-6740/1681,1495067/68921) (12466/1369,-943178/50653) (12466/1369,892525/50653) (90425/18496,5122707/2515456) (90425/18496,-7638163/2515456) (100657825/4056196,-959468622557/8169178744) (100657825/4056196,951299443813/8169178744) # # a-invariants: (0, 0, 1, 375, -12344) # Cremona label: 225e2 # (100,1012) (100,-1013) (25,-113) (25,112) (19,-41) (19,40) (50,362) (50,-363) (2425/4,-119479/8) (2425/4,119471/8) (286,-4847) (286,4846) (37375/961,7346992/29791) (37375/961,-7376783/29791) (15125/841,-371832/24389) (15125/841,347443/24389) (8419825/55696,-24594624553/13144256) (8419825/55696,24581480297/13144256) (532931200/182329,-12303183953579/77854483) (532931200/182329,12303106099096/77854483) # # a-invariants: (1, 0, 0, -5, 1) # Cremona label: 226a1 # (2,-1) (-2,-1) (0,-1) (-2,3) (0,1) (4,-9) (6,11) (4,5) (6,-17) (-1/4,-11/8) (-1/4,13/8) (-14/9,85/27) (-14/9,-43/27) (102/49,-71/343) (102/49,-643/343) (100,-1051) (100,951) (-672/289,11537/4913) (94/625,6747/15625) (-672/289,-113/4913) (94/625,-9097/15625) (6817/2304,-581767/110592) (22850/2209,-3953423/103823) (22850/2209,2879473/103823) (6817/2304,254551/110592) (25024806/1002001,112789934711/1003003001) (25024806/1002001,-137839765517/1003003001) (4635794496144001/1611481644573696,135591160951945530155759/64690133089276045983744) (4635794496144001/1611481644573696,-321687083260401144315023/64690133089276045983744) # # a-invariants: (1, 0, 0, -45, -119) # Cremona label: 226a2 # (-17/4,17/8) (-4,1) (24,-125) (-4,3) (24,101) (8,3) (8,-11) (-180/49,743/343) (-180/49,517/343) (-137/36,599/216) (745/64,12953/512) (745/64,-18913/512) (-137/36,223/216) (4904/49,-360221/343) (4904/49,325893/343) (-85524/20449,4217357/2924207) (-85524/20449,8012575/2924207) (-754084/180625,108148011/76765625) (-754084/180625,212337689/76765625) (-1201882961/316626436,5902080866809/5634050802184) (57526081/5089536,-399306714727/11481993216) (57526081/5089536,269527875991/11481993216) (-1201882961/316626436,15484224541225/5634050802184) # # a-invariants: (0, -1, 0, 3, 18) # Cremona label: 228a1 # (-2,0) # # a-invariants: (0, -1, 0, -92, 360) # Cremona label: 228a2 # (5,0) # # a-invariants: (0, -1, 0, 3, 9) # Cremona label: 228b1 # (3,-6) (3,6) (-1,-2) (-1,2) (0,3) (0,-3) (7,18) (7,-18) (27,-138) (27,138) (5/4,29/8) (5/4,-29/8) (-69/49,6/343) (-69/49,-6/343) (103/81,2654/729) (103/81,-2654/729) (696/25,18069/125) (696/25,-18069/125) (3647/529,214162/12167) (3647/529,-214162/12167) (-13295/13456,3158703/1560896) (-13295/13456,-3158703/1560896) (5541503/49,-13044860494/343) (5541503/49,13044860494/343) # # a-invariants: (1, 0, 0, -2, -1) # Cremona label: 229a1 # (-1,1) (-1,0) (2,-3) (2,1) (-5/9,11/27) (-5/9,4/27) (53/16,-465/64) (53/16,253/64) (-613/529,10844/12167) (-613/529,3255/12167) (12370/441,-1510027/9261) (12370/441,1250257/9261) (-930945041/1432244025,-2001733098067/54203275126125) (-930945041/1432244025,37233348174712/54203275126125) # # a-invariants: (1, 1, 1, -34, 62) # Cremona label: 231a1 # (4,-6) (3,-2) (4,1) # # a-invariants: (1, 1, 1, -39, 36) # Cremona label: 231a2 # (-2,-10) (1,-1) (5,-3) (12,-45) (-2,11) (-29/4,25/8) (12,32) # # a-invariants: (1, 1, 1, -284, -1924) # Cremona label: 231a3 # (-9,4) (19,-10) (-45/4,41/8) # # a-invariants: (1, 1, 1, 126, 432) # Cremona label: 231a4 # (9,-54) (9,44) (-13/4,9/8) # # a-invariants: (1, 1, 1, -4519, -118810) # Cremona label: 231a5 # (-157/4,153/8) # # a-invariants: (1, 1, 1, 31, -5578) # Cremona label: 231a6 # (67/4,-71/8) # # a-invariants: (0, -1, 0, 8, -4) # Cremona label: 232a1 # (2,4) (2,-4) (1,-2) (1,2) (34,196) (34,-196) (65/16,569/64) (65/16,-569/64) (610/1089,21052/35937) (610/1089,-21052/35937) (20609/2401,2937446/117649) (20609/2401,-2937446/117649) # # a-invariants: (0, 1, 0, -80, -304) # Cremona label: 232b1 # # # a-invariants: (1, 0, 1, 0, 11) # Cremona label: 233a1 # (-9/4,5/8) # # a-invariants: (1, 0, 1, -5, 3) # Cremona label: 233a2 # (1,-1) # # a-invariants: (1, -1, 0, -24, -64) # Cremona label: 234a1 # # # a-invariants: (1, -1, 0, -1914, 35846) # Cremona label: 234a2 # # # a-invariants: (1, -1, 1, -29, -107) # Cremona label: 234b1 # (7,-4) # # a-invariants: (1, -1, 1, -569, -5075) # Cremona label: 234b2 # (-53/4,49/8) # # a-invariants: (1, -1, 0, -3, 5) # Cremona label: 234c1 # (-2,1) (2,-3) (2,1) (1,-2) (1,1) (10,-35) (-1,3) (-1,-2) (10,25) (19/4,-91/8) (-2/9,-61/27) (-2/9,67/27) (19/4,53/8) (58/121,2171/1331) (71/25,-634/125) (71/25,279/125) (58/121,-2809/1331) (2018/49,82683/343) (-911/529,-10009/12167) (2018/49,-96809/343) (-911/529,30962/12167) (13609/9216,645413/884736) (13609/9216,-1951877/884736) (-803518/474721,850832273/327082769) (-803518/474721,-297208371/327082769) # # a-invariants: (1, -1, 0, -63, 209) # Cremona label: 234c2 # (19/4,-19/8) (4,1) (8,-17) (4,-5) (8,9) (5,-2) (5,-3) (-5,22) (-5,-17) (-2,19) (46/9,-43/27) (46/9,-95/27) (-2,-17) (109/25,-487/125) (109/25,-58/125) (11,22) (11,-33) (232/49,-881/343) (232/49,-743/343) (164,2011) (164,-2175) (865/256,-27863/4096) (235/36,-2137/216) (235/36,727/216) (865/256,14023/4096) (13892/2809,-335859/148877) (-1304/169,-21893/2197) (-1304/169,38845/2197) (13892/2809,-400417/148877) (16091/3025,-146151/166375) (16091/3025,-738854/166375) (417502/23409,208854091/3581577) (417502/23409,-272731897/3581577) (1074725/25921,-1171428418/4173281) (1074725/25921,998397693/4173281) (146011352456/25600960009,1788331447395445/4096230404320027) (146011352456/25600960009,-25150585874412813/4096230404320027) # # a-invariants: (1, -1, 1, -176, -18669) # Cremona label: 234d1 # (29,-15) (77,-687) (77,609) # # a-invariants: (1, -1, 1, -11696, -479469) # Cremona label: 234d2 # (-67,33) (125,-63) (-229/4,225/8) # # a-invariants: (1, -1, 1, -186656, -30992493) # Cremona label: 234d3 # (-997/4,993/8) # # a-invariants: (1, -1, 1, -21056, 404115) # Cremona label: 234d4 # (539/4,-543/8) # # a-invariants: (1, -1, 1, 4, -7) # Cremona label: 234e1 # # # a-invariants: (1, -1, 1, -41, 209) # Cremona label: 234e2 # (1,12) (1,-14) # # a-invariants: (1, -1, 1, -4136, 103403) # Cremona label: 234e3 # (37,-23) (37,-15) # # a-invariants: (1, 1, 1, -5, 0) # Cremona label: 235a1 # (-2,-2) (-2,3) (3,3) (3,-7) (0,-1) (0,0) (7/4,-1/8) (7/4,-21/8) (-8/9,56/27) (-8/9,-59/27) (19,-95) (19,75) (-138/49,69/343) (-138/49,554/343) (537/64,10561/512) (537/64,-15369/512) (-170/361,9121/6859) (-170/361,-12750/6859) (7483/4761,-548723/328509) (7483/4761,-296113/328509) (133551/28900,36494839/4913000) (133551/28900,-64111509/4913000) (-70643330/49406841,-798178623769/347280685389) (-70643330/49406841,947449904950/347280685389) # # a-invariants: (1, 1, 1, -3551, -82926) # Cremona label: 235b1 # # # a-invariants: (0, -1, 1, 4, 1) # Cremona label: 235c1 # # # a-invariants: (0, -1, 0, -1, 2) # Cremona label: 236a1 # (1,-1) (1,1) (-1,1) (-1,-1) (2,-2) (2,2) (7,-17) (7,17) (1/9,-37/27) (1/9,37/27) (1/16,-89/64) (1/16,89/64) (161/25,1859/125) (161/25,-1859/125) (599/289,10463/4913) (599/289,-10463/4913) (-926/961,-31814/29791) (-926/961,31814/29791) (11887/12321,1369297/1367631) (11887/12321,-1369297/1367631) (158113/49,-62861399/343) (158113/49,62861399/343) (166891279/86397025,1511966647567/803060347375) (166891279/86397025,-1511966647567/803060347375) # # a-invariants: (0, 1, 0, -9, 8) # Cremona label: 236b1 # (1,1) (1,-1) # # a-invariants: (0, 1, 0, 31, 68) # Cremona label: 236b2 # # # a-invariants: (1, 0, 0, -60, 16) # Cremona label: 238a1 # (-8,4) (24,100) (24,-124) (-4,16) (-4,-12) (8,4) (0,-4) (0,4) (8,-12) (10,16) (-8/9,236/27) (-8/9,-212/27) (10,-26) (56,-444) (56,388) (-6,16) (-6,-10) (192,-2756) (-184/25,1524/125) (192,2564) (-184/25,-604/125) (124/9,-1348/27) (-104/49,4348/343) (-104/49,-3620/343) (124/9,976/27) (17/64,93/512) (3960/529,-52708/12167) (3960/529,-38372/12167) (17/64,-229/512) (2492/169,-123644/2197) (2492/169,91248/2197) (-2280/961,395804/29791) (-2280/961,-325124/29791) (-73784/9801,-3557188/970299) (76096/289,20345540/4913) (76096/289,-21639172/4913) (-73784/9801,10861804/970299) (434744/9025,-304342468/857375) (434744/9025,263041788/857375) (-1018504/1413721,13514916084/1680914269) (-1018504/1413721,-12303914828/1680914269) (1218392849/135424,-42753352118559/49836032) (1218392849/135424,42304983550127/49836032) # # a-invariants: (1, 0, 0, -700, 7056) # Cremona label: 238a2 # (63/4,-63/8) (14,0) (-14,-112) (14,-14) (-14,126) (28,-112) (20,-44) (20,24) (28,84) (112/9,-644/27) (112/9,308/27) (0,-84) (0,84) (16,-12) (224,-3444) (16,-4) (224,3220) (364/25,-672/125) (364/25,-1148/125) (-28,-56) (-28,84) (54,330) (154/9,-574/27) (154/9,112/27) (54,-384) (133/16,-3003/64) (35/4,-357/8) (133/16,2471/64) (35/4,287/8) (2870/169,-44478/2197) (2870/169,7168/2197) (58,-432) (58,374) (1764/121,-7560/1331) (-2324/81,-34048/729) (1764/121,-11844/1331) (-2324/81,54964/729) (5792/361,-24764/6859) (4816/25,319396/125) (5792/361,-85284/6859) (4816/25,-343476/125) (1456/1681,-5565252/68921) (10304/841,-609756/24389) (10304/841,310940/24389) (1456/1681,5505556/68921) (8668/441,199984/9261) (8668/441,-382012/9261) (-28210/1849,10095078/79507) (-28210/1849,-8882048/79507) (143951/4,-54760395/8) (143951/4,54472493/8) (533281/33856,-47350723/6229504) (533281/33856,-50772981/6229504) (8799826/632025,305860016/502459875) (8799826/632025,-7301721686/502459875) (3308764/162409,1742268432/65450827) (3308764/162409,-3075700324/65450827) (87120320/6901129,183933124452/18129265883) (87120320/6901129,-412798205092/18129265883) (747153232/2832489,19704712335868/4767078987) (747153232/2832489,-20962171225324/4767078987) # # a-invariants: (1, -1, 0, 2, 0) # Cremona label: 238b1 # (0,0) (1,-2) (2,2) (1,1) (2,-4) (18,66) (18,-84) (1/9,-14/27) (1/9,11/27) (289/64,3587/512) (128/289,3376/4913) (128/289,-5552/4913) (289/64,-5899/512) (25921/5625,3055619/421875) (25921/5625,-4999694/421875) (11250/25921,-4658100/4173281) (11250/25921,2846850/4173281) (744769/6436369,-8654627431/16329068153) (744769/6436369,6765148478/16329068153) (5674458241/5758988544,-863412606424729/437038122627072) (5674458241/5758988544,432789319431721/437038122627072) # # a-invariants: (1, -1, 0, -8, 6) # Cremona label: 238b2 # (3/4,-3/8) (-1,4) (5,6) (-1,-3) (5,-11) (-23/9,94/27) (-23/9,-25/27) (3,-3) (3,0) (71/4,-649/8) (71/4,507/8) (5/16,109/64) (5/16,-129/64) (201/625,26226/15625) (163/9,-2257/27) (201/625,-31251/15625) (163/9,1768/27) (10469/3481,6591/205379) (-4705/1849,279367/79507) (-4705/1849,-77052/79507) (10469/3481,-624262/205379) (-316733/311364,697930775/173741112) (91713/18496,-27253275/2515456) (-316733/311364,-521193761/173741112) (91713/18496,14780307/2515456) (27918245/169,-147694770842/2197) (27918245/169,147331833657/2197) (735179491/145805625,10786820778439/1760602921875) (735179491/145805625,-19664113132264/1760602921875) # # a-invariants: (1, -1, 1, -19, 35) # Cremona label: 238c1 # (3,-2) (5,4) (5,-10) # # a-invariants: (1, -1, 1, -39, -37) # Cremona label: 238c2 # (7,-4) (-1,0) (-21/4,17/8) # # a-invariants: (1, -1, 1, -529, -4545) # Cremona label: 238c3 # (-53/4,49/8) # # a-invariants: (1, -1, 1, 131, -377) # Cremona label: 238c4 # (11/4,-15/8) # # a-invariants: (1, 1, 1, -18, -37) # Cremona label: 238d1 # (-3,1) # # a-invariants: (1, 1, 1, -28, -5) # Cremona label: 238d2 # (19/4,-23/8) # # a-invariants: (1, 1, 0, 32, 0) # Cremona label: 238e1 # (0,0) # # a-invariants: (1, 1, 0, -128, -160) # Cremona label: 238e2 # (-5/4,5/8) # # a-invariants: (0, -1, 0, -15, -18) # Cremona label: 240a1 # (-2,0) # # a-invariants: (0, -1, 0, -20, 0) # Cremona label: 240a2 # (0,0) (-4,0) (5,0) # # a-invariants: (0, -1, 0, -200, 1152) # Cremona label: 240a3 # (4,20) (8,0) (4,-20) (-16,0) (14,-30) (9,0) (14,30) # # a-invariants: (0, -1, 0, 80, -80) # Cremona label: 240a4 # (1,0) # # a-invariants: (0, -1, 0, -3200, 70752) # Cremona label: 240a5 # (33,0) (34,-10) (34,10) # # a-invariants: (0, -1, 0, -80, 2400) # Cremona label: 240a6 # (10,50) (-15,0) (10,-50) # # a-invariants: (0, -1, 0, 24, -144) # Cremona label: 240b1 # (4,0) # # a-invariants: (0, -1, 0, -296, -1680) # Cremona label: 240b2 # (20,0) (-7,0) (-12,0) # # a-invariants: (0, -1, 0, -216, 4080) # Cremona label: 240b3 # (-20,0) # # a-invariants: (0, -1, 0, -4616, -119184) # Cremona label: 240b4 # (-39,0) # # a-invariants: (0, -1, 0, -1096, 12400) # Cremona label: 240b5 # (25,0) # # a-invariants: (0, -1, 0, -5336, 151536) # Cremona label: 240b6 # (41,0) (-84,0) (44,0) # # a-invariants: (0, -1, 0, -7256, 34800) # Cremona label: 240b7 # (-87,0) # # a-invariants: (0, -1, 0, -85336, 9623536) # Cremona label: 240b8 # (169,0) # # a-invariants: (0, -1, 0, 4, 0) # Cremona label: 240c1 # (0,0) (4,-8) (1,-2) (4,8) (1,2) (9/16,93/64) (64/9,496/27) (64/9,-496/27) (9/16,-93/64) (196/3025,-84056/166375) (3025/49,165110/343) (3025/49,-165110/343) (196/3025,84056/166375) (2214144/889249,3674053536/838561807) (889249/553536,1164191023/411830784) (889249/553536,-1164191023/411830784) (2214144/889249,-3674053536/838561807) # # a-invariants: (0, -1, 0, -16, 16) # Cremona label: 240c2 # (4,0) (-4,0) (1,0) (0,-4) (0,4) (-2,6) (6,10) (6,-10) (-2,-6) (16,60) (16,-60) (-11/4,-45/8) (28,144) (4/9,-80/27) (5,6) (-11/4,45/8) (4/9,80/27) (5,-6) (28,-144) (-96/25,-308/125) (-96/25,308/125) (46/49,330/343) (496/121,-2100/1331) (496/121,2100/1331) (246,-3850) (46/49,-330/343) (246,3850) (-964/1681,342240/68921) (-1199/961,169740/29791) (5572/529,366048/12167) (1105/144,-29233/1728) (5572/529,-366048/12167) (1105/144,29233/1728) (-964/1681,-342240/68921) (-1199/961,-169740/29791) (36960/48841,-20910124/10793861) (36960/48841,20910124/10793861) (9160229/148225,-27441345042/57066625) (9160229/148225,27441345042/57066625) (2016372197185/492231334464,536842220248793663/345345566409266688) (2016372197185/492231334464,-536842220248793663/345345566409266688) # # a-invariants: (0, -1, 0, -136, -560) # Cremona label: 240c3 # (-7,0) (18,-50) (-6,-2) (18,50) (-6,2) (29,138) (-227/36,575/216) (-227/36,-575/216) (29,-138) (29778/121,5122250/1331) (29778/121,-5122250/1331) (-8454/1225,-64394/42875) (-8454/1225,64394/42875) (1082209/76176,-276853033/21024576) (-9403687/1615441,1502978700/2053225511) (1082209/76176,276853033/21024576) (-9403687/1615441,-1502978700/2053225511) # # a-invariants: (0, -1, 0, -216, 1296) # Cremona label: 240c4 # (9,0) (0,-36) (8,-4) (8,4) (0,36) (10,6) (18,54) (18,-54) (10,-6) (216/25,36/125) (-16,20) (216/25,-36/125) (-16,-20) (117/4,-1107/8) (85/9,-82/27) (85/9,82/27) (117/4,1107/8) (1080/289,-112788/4913) (1080/289,112788/4913) (1232/169,16388/2197) (1232/169,-16388/2197) (53586/5929,281070/456533) (6154/25,-480942/125) (53586/5929,-281070/456533) (6154/25,480942/125) (6753897/508369,8839709388/362467097) (2686945/242064,-1423376873/119095488) (6753897/508369,-8839709388/362467097) (2686945/242064,1423376873/119095488) # # a-invariants: (0, 1, 0, 0, -12) # Cremona label: 240d1 # (2,0) # # a-invariants: (0, 1, 0, -80, -300) # Cremona label: 240d2 # (10,0) (-5,0) (-6,0) # # a-invariants: (0, 1, 0, -1280, -18060) # Cremona label: 240d3 # (-21,0) # # a-invariants: (0, 1, 0, -160, 308) # Cremona label: 240d4 # (-4,30) (11,0) (-14,0) (26,120) (2,0) (26,-120) (-4,-30) # # a-invariants: (0, 1, 0, -2160, 37908) # Cremona label: 240d5 # (36,90) (-54,0) (36,-90) (18,-72) (27,0) (26,0) (18,72) # # a-invariants: (0, 1, 0, 560, 2900) # Cremona label: 240d6 # (20,-150) (20,150) (-5,0) # # a-invariants: (0, 1, 0, -34560, 2461428) # Cremona label: 240d7 # (108,-18) (107,0) (108,18) # # a-invariants: (0, 1, 0, -1760, 52788) # Cremona label: 240d8 # (-53,0) (28,162) (28,-162) # # a-invariants: (1, 0, 0, 3, 1) # Cremona label: 242a1 # (0,-1) (0,1) (2,3) (2,-5) (4,-11) (4,7) (-1/4,-3/8) (-1/4,5/8) (36,199) (36,-235) (34/81,971/729) (34/81,-1277/729) (288/289,8785/4913) (288/289,-13681/4913) (2465/256,-145689/4096) (2465/256,106249/4096) (-6944/21025,566161/3048625) (-6944/21025,440719/3048625) (417890/47089,-324477357/10218313) (417890/47089,233795227/10218313) # # a-invariants: (1, 0, 0, -52, 144) # Cremona label: 242a2 # (8,12) (8,-20) (4,0) (4,-4) (0,-12) (0,12) (-8,12) (-8,-4) (2,-8) (2,6) (40/9,-124/27) (40/9,4/27) (14,40) (14,-54) (88,780) (88,-868) (144/25,468/125) (144/25,-1188/125) (172/49,356/343) (172/49,-1560/343) (-376/121,-20124/1331) (-376/121,24260/1331) (-185/36,-3073/216) (-185/36,4183/216) (5768/1849,179524/79507) (5768/1849,-427548/79507) (11308/2209,180868/103823) (11308/2209,-712344/103823) (49680/1369,-11827236/50653) (49680/1369,9989076/50653) (2903464/1071225,-7024655708/1108717875) (2903464/1071225,4019570468/1108717875) (-3142942/474721,-3646201480/327082769) (-3142942/474721,5811688518/327082769) (100542906308903080/10180899397596249,20464861468906449554415716/1027257259355894659238307) (100542906308903080/10180899397596249,-30609685255982265170480156/1027257259355894659238307) # # a-invariants: (1, 0, 1, 360, -970) # Cremona label: 242b1 # (10,55) (10,-66) # # a-invariants: (1, 0, 1, -6295, -197958) # Cremona label: 242b2 # # # a-invariants: (0, 0, 1, 0, -1) # Cremona label: 243a1 # (1,-1) (1,0) (7,-19) (7,18) (73/36,487/216) (73/36,-703/216) (2443/1369,87173/50653) (2443/1369,-137826/50653) (48833569/50979600,-51286220497/363994344000) (48833569/50979600,-312708123503/363994344000) # # a-invariants: (0, 0, 1, 0, 20) # Cremona label: 243a2 # (0,4) (0,-5) (18,76) (9/4,-49/8) (18,-77) (-2,3) (9/4,41/8) (-2,-4) (-1071/400,-12217/8000) (1260/289,47435/4913) (340/49,-6628/343) (-1071/400,4217/8000) (1260/289,-52348/4913) (340/49,6285/343) # # a-invariants: (0, 0, 1, 0, 2) # Cremona label: 243b1 # (0,-2) (0,1) # # a-invariants: (0, 0, 1, 0, -61) # Cremona label: 243b2 # # # a-invariants: (0, 0, 0, 1, 6) # Cremona label: 244a1 # (-1,2) (-1,-2) (3,6) (3,-6) (2,4) (2,-4) (-5/9,-62/27) (-5/9,62/27) (95,926) (95,-926) (-87/64,-747/512) (-87/64,747/512) (2447/529,127378/12167) (2447/529,-127378/12167) (11131/8649,-2468546/804357) (11131/8649,2468546/804357) (-3166/46225,-24203948/9938375) (-3166/46225,24203948/9938375) # # a-invariants: (0, 0, 1, -7, 12) # Cremona label: 245a1 # (7,17) (7,-18) (2,-3) (2,2) (0,-4) (0,3) (-3,2) (-3,-3) (-7/4,31/8) (-7/4,-39/8) (1,-3) (1,2) (28/9,109/27) (28/9,-136/27) (22,102) (22,-103) (35,206) (35,-207) (57/16,333/64) (57/16,-397/64) (147/121,2467/1331) (147/121,-3798/1331) (-34/25,-611/125) (-34/25,486/125) (-1148/361,-13947/6859) (-1148/361,7088/6859) (-143/441,30617/9261) (-143/441,-39878/9261) (2065/1156,72069/39304) (2065/1156,-111373/39304) (9557/1681,-895883/68921) (9557/1681,826962/68921) (85848/169,-25154076/2197) (85848/169,25151879/2197) (30906/3481,-5338722/205379) (30906/3481,5133343/205379) # # a-invariants: (0, 0, 1, -343, -4202) # Cremona label: 245b1 # # # a-invariants: (0, -1, 1, -65, -204) # Cremona label: 245c1 # (12,24) (12,-25) (26,-123) (26,122) (293/4,4945/8) (293/4,-4953/8) (246/25,381/125) (246/25,-506/125) (107728/729,35174780/19683) (107728/729,-35194463/19683) # # a-invariants: (0, -1, 1, 425, 433) # Cremona label: 245c2 # (89,-858) (89,857) (19,122) (19,-123) (13/4,-347/8) (13/4,339/8) (-1,-3) (-1,2) (349/81,34793/729) (349/81,-35522/729) (353/16,-9097/64) (353/16,9033/64) (32581/289,-5956079/4913) (32581/289,5951166/4913) (7399,-636403) (7399,636402) (531677/7396,400605411/636056) (531677/7396,-401241467/636056) (2224459/136161,5355817093/50243409) (2224459/136161,-5406060502/50243409) (-1935839/2190400,-25917194641/3241792000) (-1935839/2190400,22675402641/3241792000) # # a-invariants: (0, -1, 1, -6435, 210006) # Cremona label: 245c3 # (40,-123) (40,122) (-30,-613) (-30,612) (405/4,6121/8) (405/4,-6129/8) (70,312) (70,-313) (-620/9,15299/27) (-620/9,-15326/27) (745/16,-6157/64) (745/16,6093/64) (1020,32462) (1020,-32463) (30,-208) (30,207) (13/4,-3483/8) (13/4,3475/8) (1690/9,63809/27) (1690/9,-63836/27) (20320/361,1035983/6859) (20320/361,-1042842/6859) (-5895/64,-58131/512) (-5895/64,57619/512) (729130/2809,594708999/148877) (729130/2809,-594857876/148877) (490405/39204,2808969929/7762392) (490405/39204,-2816732321/7762392) (3937041/80656,-2281247567/22906304) (3937041/80656,2258341263/22906304) # # a-invariants: (1, 1, 1, -270, -1821) # Cremona label: 246a1 # # # a-invariants: (1, 0, 0, -175, -27847) # Cremona label: 246b1 # (38,-163) (134,-1603) (134,1469) (38,125) # # a-invariants: (1, 0, 0, -579535, -169860007) # Cremona label: 246b2 # # # a-invariants: (1, 0, 1, -453897, -117739700) # Cremona label: 246c1 # (-389,194) # # a-invariants: (1, 0, 1, -453257, -118088116) # Cremona label: 246c2 # (3111/4,-3115/8) # # a-invariants: (1, 1, 0, -66, 180) # Cremona label: 246d1 # (4,-2) (12,30) (3,3) (3,-6) (12,-42) (5,0) (-4,22) (-4,-18) (5,-5) (-33/4,-93/8) (228/49,-1086/343) (-33/4,159/8) (228/49,-510/343) (124/81,-7298/729) (124/81,6182/729) (181/25,1064/125) (181/25,-1969/125) (23628/289,3441534/4913) (10947/2809,-436134/148877) (23628/289,-3843210/4913) (10947/2809,-144057/148877) (91505/3136,-29859885/175616) (91505/3136,24735605/175616) # # a-invariants: (1, 1, 0, -26, 444) # Cremona label: 246d2 # (-37/4,37/8) (11,35) (1,-21) (1,20) (11,-46) (599/25,13447/125) (-3,24) (599/25,-16442/125) (-3,-21) (-1489/196,-35099/2744) (1861/16,76925/64) (-1489/196,55945/2744) (1861/16,-84369/64) (9661/2025,-2165401/91125) (9661/2025,1730656/91125) (66287531/811801,-572845436110/731432701) (66287531/811801,513120370679/731432701) # # a-invariants: (1, 0, 0, -9, 9) # Cremona label: 246e1 # (0,-3) (0,3) (2,-1) # # a-invariants: (1, 0, 0, -29, -51) # Cremona label: 246e2 # (-2,1) (-17/4,17/8) (6,-3) # # a-invariants: (1, 0, 0, -439, -3577) # Cremona label: 246e3 # (-49/4,49/8) # # a-invariants: (1, 0, 0, 61, -285) # Cremona label: 246e4 # (15/4,-15/8) # # a-invariants: (1, 0, 1, -2, 2) # Cremona label: 246f1 # (0,-2) (0,1) # # a-invariants: (1, 0, 1, 13, -58) # Cremona label: 246f2 # # # a-invariants: (1, 1, 0, -41, -123) # Cremona label: 246g1 # # # a-invariants: (0, 1, 0, 0, 1) # Cremona label: 248a1 # (0,-1) (0,1) (-1,1) (-1,-1) (4,-9) (4,9) (5/4,17/8) (5/4,-17/8) (-36/25,37/125) (-36/25,-37/125) (55/81,971/729) (55/81,-971/729) (1224/121,-44909/1331) (1224/121,44909/1331) (-2959/4624,-336817/314432) (-2959/4624,336817/314432) (1154279/34225,1258393933/6331625) (1154279/34225,-1258393933/6331625) # # a-invariants: (0, 1, 0, 8, 0) # Cremona label: 248b1 # (0,0) # # a-invariants: (0, 1, 0, -32, -32) # Cremona label: 248b2 # (-1,0) # # a-invariants: (0, 0, 0, 1, -1) # Cremona label: 248c1 # (1,-1) (1,1) (2,-3) (2,3) (13,47) (13,-47) (25/36,-37/216) (25/36,37/216) (685/121,18157/1331) (685/121,-18157/1331) (7082/2209,-615609/103823) (7082/2209,615609/103823) (9781441/197136,30597832799/87528384) (9781441/197136,-30597832799/87528384) # # a-invariants: (1, 1, 1, -55, 134) # Cremona label: 249a1 # (4,-3) (4,-2) (3,1) (3,-5) (-2,-15) (-2,16) (139/36,-497/216) (139/36,-553/216) (286/25,3501/125) (286/25,-5056/125) (4899/961,46933/29791) (4899/961,-228593/29791) (-987647/112896,378220025/37933056) (-987647/112896,-84303689/37933056) # # a-invariants: (1, 1, 0, 2, 1) # Cremona label: 249b1 # (0,-1) (0,1) (-1/4,7/8) (-1/4,-5/8) (48,313) (48,-361) (193/576,-21109/13824) (193/576,16477/13824) (607991136/753777025,32790384719569/20694948221375) (607991136/753777025,-49482781358449/20694948221375) # # a-invariants: (0, 0, 0, 60, 61) # Cremona label: 252a1 # (-1,0) # # a-invariants: (0, 0, 0, -255, 502) # Cremona label: 252a2 # (2,0) # # a-invariants: (0, 0, 0, -1020, 12913) # Cremona label: 252a3 # (26,63) (12,49) (-37,0) (26,-63) (12,-49) # # a-invariants: (0, 0, 0, -16455, 812446) # Cremona label: 252a4 # (47,-378) (75,-14) (74,0) (75,14) (47,378) # # a-invariants: (0, 0, 0, -12, 65) # Cremona label: 252b1 # (-5,0) (16,-63) (16,63) (-2,-9) (-2,9) (2,-7) (4,-9) (2,7) (4,9) (7,18) (1/4,-63/8) (7,-18) (1/4,63/8) (-4,-7) (-4,7) (58,441) (58,-441) (-104/25,819/125) (-104/25,-819/125) (70,585) (70,-585) (1/16,-513/64) (1/16,513/64) (67/9,-532/27) (67/9,532/27) (1096/289,-42273/4913) (262/121,-9333/1331) (262/121,9333/1331) (1096/289,42273/4913) (-1718/961,267687/29791) (716/49,-18817/343) (-1718/961,-267687/29791) (716/49,18817/343) (-6833/1369,-37602/50653) (-6833/1369,37602/50653) (28729/4,-4869459/8) (28729/4,4869459/8) (74356/4225,20001879/274625) (74356/4225,-20001879/274625) (90289/207936,733675159/94818816) (90289/207936,-733675159/94818816) (89945758/1841449,851133706749/2498846293) (89945758/1841449,-851133706749/2498846293) (-560670956/130119649,-8992504750329/1484274836143) (-560670956/130119649,8992504750329/1484274836143) # # a-invariants: (0, 0, 0, -327, 2270) # Cremona label: 252b2 # (10,0) (19,54) (7,18) (19,-54) (7,-18) (-17,-54) (11,-2) (-17,54) (11,2) (-2,-54) (-2,54) (49/4,-81/8) (49/4,81/8) (59,434) (59,-434) (463/49,-1674/343) (463/49,1674/343) (1771/25,72306/125) (1615/169,-9270/2197) (1615/169,9270/2197) (1771/25,-72306/125) (-278/361,-344412/6859) (-278/361,344412/6859) (1801/144,-20197/1728) (1801/144,20197/1728) (383179/34969,10412334/6539203) (-67697/3721,10639926/226981) (-67697/3721,-10639926/226981) (383179/34969,-10412334/6539203) (839339/47089,468760606/10218313) (839339/47089,-468760606/10218313) (39330049/5476,246652405911/405224) (39330049/5476,-246652405911/405224) # # a-invariants: (1, 0, 0, -22, 36) # Cremona label: 254a1 # (4,-6) (4,2) (-4,-6) (2,0) (2,-2) (-4,10) (0,6) (0,-6) (28/9,-50/27) (16,-70) (28/9,-34/27) (10,24) (10,-34) (16,54) (36/49,-1674/343) (29/16,-167/64) (-124/25,986/125) (-124/25,-366/125) (29/16,51/64) (36/49,1422/343) (1834/9,75818/27) (2992/841,-102750/24389) (2992/841,15982/24389) (4540/961,-265914/29791) (4540/961,125174/29791) (1834/9,-81320/27) (-98020/34969,66772078/6539203) (-98020/34969,-48442338/6539203) (23460004/7338681,-12972224782/19880486829) (21754084/714025,91548601962/603351125) (21754084/714025,-109930802942/603351125) (23460004/7338681,-50580926054/19880486829) # # a-invariants: (1, 0, 0, -302, -2036) # Cremona label: 254a2 # (30,-142) (30,112) (-266/25,538/125) (-10,2) (-155/16,183/64) (-266/25,792/125) (-10,8) (-155/16,437/64) (3825/64,210379/512) (190/9,-1184/27) (6846/25,-582646/125) (190/9,614/27) (6846/25,548416/125) (3825/64,-240979/512) (-204091/19600,21415297/2744000) (-7618250/797449,3514337706/712121957) (-7618250/797449,3288759544/712121957) (-204091/19600,7157443/2744000) (1484291230/7273809,-59006642258416/19617462873) (1484291230/7273809,55003508811106/19617462873) # # a-invariants: (1, 0, 0, -24432, -1471934) # Cremona label: 254a3 # (-36131/400,361313/8000) (-36131/400,361307/8000) (4243921/14400,6859134659/1728000) (4243921/14400,-7368405179/1728000) # # a-invariants: (1, 0, 0, 2, 0) # Cremona label: 254b1 # (0,0) # # a-invariants: (1, 0, 0, -8, -2) # Cremona label: 254b2 # (-1/4,1/8) # # a-invariants: (1, -1, 0, -5, -3) # Cremona label: 254c1 # (-1,0) (-1,1) (3,-3) (3,0) (-19/16,67/64) (-19/16,9/64) (259/9,-4489/27) (259/9,3712/27) (-3793/4489,215296/300763) (-3793/4489,38835/300763) (235281/53824,55857675/12487168) (235281/53824,-110442867/12487168) # # a-invariants: (1, -1, 1, -19, 51) # Cremona label: 254d1 # (3,2) (-5,2) (3,-6) # # a-invariants: (1, -1, 1, -339, 2483) # Cremona label: 254d2 # (11,-6) (-21,10) (43/4,-47/8) # # a-invariants: (1, -1, 1, -379, 1891) # Cremona label: 254d3 # (-85/4,81/8) # # a-invariants: (1, -1, 1, -5419, 154883) # Cremona label: 254d4 # (171/4,-175/8) # # a-invariants: (0, 1, 0, -3, 1) # Cremona label: 256a1 # (1,0) (-1,2) (0,-1) (0,1) (-1,-2) (5/4,7/8) (9,-28) (5/4,-7/8) (9,28) (31/81,170/729) (31/81,-170/729) (-56/25,-153/125) (-56/25,153/125) (2529/961,127288/29791) (2529/961,-127288/29791) (1745/784,-70463/21952) (1745/784,70463/21952) (30547621/2340900,173783774969/3581577000) (30547621/2340900,-173783774969/3581577000) # # a-invariants: (0, 1, 0, -13, -21) # Cremona label: 256a2 # (-3,0) (-2,1) (5,8) (-2,-1) (5,-8) (37/4,-217/8) (-115/49,-496/343) (-115/49,496/343) (37/4,217/8) (-5786/2025,90287/91125) (15333/289,1911960/4913) (15333/289,-1911960/4913) (-5786/2025,-90287/91125) (2906257/753424,695062943/653972032) (2906257/753424,-695062943/653972032) # # a-invariants: (0, 0, 0, -2, 0) # Cremona label: 256b1 # (0,0) (-1,1) (-1,-1) (2,2) (2,-2) (-8/9,-28/27) (9/4,21/8) (-8/9,28/27) (9/4,-21/8) (338,-6214) (-1/169,239/2197) (338,6214) (-1/169,-239/2197) (12769/7056,900271/592704) (12769/7056,-900271/592704) (-1803649/2325625,-3693595151/3546578125) (-1803649/2325625,3693595151/3546578125) # # a-invariants: (0, 0, 0, 8, 0) # Cremona label: 256b2 # (0,0) (1,3) (8,-24) (8,24) (1,-3) (288/49,5424/343) (49/36,791/216) (288/49,-5424/343) (49/36,-791/216) (57121/169,-13652397/2197) (57121/169,13652397/2197) # # a-invariants: (0, 0, 0, 2, 0) # Cremona label: 256c1 # (0,0) # # a-invariants: (0, 0, 0, -8, 0) # Cremona label: 256c2 # (0,0) # # a-invariants: (0, -1, 0, -3, -1) # Cremona label: 256d1 # (-1,0) # # a-invariants: (0, -1, 0, -13, 21) # Cremona label: 256d2 # (3,0) # # a-invariants: (1, 1, 0, 3, -3) # Cremona label: 258a1 # (2,3) (2,-5) (1,-2) (1,1) (26,-149) (26,123) (43/9,-394/27) (43/9,265/27) (434/625,-3173/15625) (434/625,-7677/15625) (7087/1156,-793013/39304) (7087/1156,552055/39304) # # a-invariants: (1, 1, 0, -1916, 31440) # Cremona label: 258b1 # (24,-12) # # a-invariants: (1, 1, 0, -1276, 53584) # Cremona label: 258b2 # (-197/4,197/8) # # a-invariants: (1, 0, 1, -15, 22) # Cremona label: 258c1 # (5,-12) (5,6) (2,0) (2,-3) (-1,6) (-1,-6) (-4,-3) (-4,6) (1,2) (1,-4) (11/4,-33/8) (11/4,3/8) (17,60) (17,-78) (20,-99) (20,78) (71/25,66/125) (71/25,-546/125) (10/9,-104/27) (10/9,47/27) (-187/49,-1254/343) (-187/49,2220/343) (-79/64,3243/512) (-79/64,-3123/512) (701/361,-20622/6859) (701/361,444/6859) (2474/529,-130488/12167) (2474/529,61419/12167) (2719,-143146) (2719,140426) (18692/3481,1464663/205379) (18692/3481,-2772870/205379) (42065/20449,-8792178/2924207) (42065/20449,-147324/2924207) (-22381/28900,27739263/4913000) (-22381/28900,-28847493/4913000) (12593591/4721929,2530911678/10260751717) (12593591/4721929,-40157536638/10260751717) # # a-invariants: (1, 1, 1, -24, -39) # Cremona label: 258d1 # (5,-3) (-3,5) (-3,-3) # # a-invariants: (1, 1, 1, -344, -2599) # Cremona label: 258d2 # (-11,5) (21,-11) (-45/4,41/8) # # a-invariants: (1, 1, 1, -5504, -159463) # Cremona label: 258d3 # (-173/4,169/8) # # a-invariants: (1, 1, 1, -304, -3175) # Cremona label: 258d4 # (83/4,-87/8) # # a-invariants: (1, 1, 1, -44124, 3549153) # Cremona label: 258e1 # # # a-invariants: (1, 0, 0, 159, 1737) # Cremona label: 258f1 # (42,-309) (-6,-21) (6,-57) (-6,27) (6,51) (42,267) # # a-invariants: (1, 0, 0, -59901, -5648523) # Cremona label: 258f2 # # # a-invariants: (1, 0, 0, -2, 0) # Cremona label: 258g1 # (0,0) # # a-invariants: (1, 0, 0, 8, 2) # Cremona label: 258g2 # (-1/4,1/8) # # a-invariants: (1, -1, 0, -5, -32) # Cremona label: 259a1 # (4,-2) # # a-invariants: (1, -1, 0, -190, -957) # Cremona label: 259a2 # (-29/4,29/8) # # a-invariants: (0, -1, 0, -281, 1910) # Cremona label: 260a1 # (10,0) # # a-invariants: (0, -1, 0, -276, 1976) # Cremona label: 260a2 # (-19,0) # # a-invariants: (1, 0, 0, 1, 25) # Cremona label: 262a1 # (-2,-3) (-2,5) (6,13) (6,-19) (2,-7) (2,5) (0,5) (0,-5) (22,-115) (22,93) (-26/9,47/27) (-26/9,31/27) (28,135) (28,-163) (-6/25,-607/125) (-6/25,637/125) (278/121,6967/1331) (278/121,-10025/1331) (894/169,24097/2197) (894/169,-35719/2197) (-353/196,14167/2744) (-353/196,-9225/2744) (15550/9,-1962545/27) (15550/9,1915895/27) (-97591424/34117281,461006970443/199279038321) (-97591424/34117281,109024537141/199279038321) (502119748449/107248390144,330057374180393201/35122560791478272) (502119748449/107248390144,-494495566360459313/35122560791478272) # # a-invariants: (1, -1, 0, -2, 2) # Cremona label: 262b1 # (1,-1) (1,0) (-1,2) (-1,-1) (7/4,-17/8) (7/4,3/8) (31/9,94/27) (31/9,-187/27) (1/121,1869/1331) (1/121,-1880/1331) (929/1600,38003/64000) (929/1600,-75163/64000) (37441/3721,-8044120/226981) (37441/3721,5760219/226981) # # a-invariants: (0, 1, 0, -8, 0) # Cremona label: 264a1 # (0,0) # # a-invariants: (0, 1, 0, 32, 32) # Cremona label: 264a2 # (-1,0) # # a-invariants: (0, -1, 0, -12, -12) # Cremona label: 264b1 # (-2,0) # # a-invariants: (0, -1, 0, -32, 60) # Cremona label: 264b2 # (2,0) (-6,0) (5,0) # # a-invariants: (0, -1, 0, -472, 4108) # Cremona label: 264b3 # (13,0) # # a-invariants: (0, -1, 0, 88, 300) # Cremona label: 264b4 # (-3,0) # # a-invariants: (0, 1, 0, 1, 6) # Cremona label: 264c1 # (-2,0) (1,-3) (1,3) # # a-invariants: (0, 1, 0, -44, 96) # Cremona label: 264c2 # (3,0) (4,0) (-8,0) # # a-invariants: (0, 1, 0, -104, -288) # Cremona label: 264c3 # (-9,0) # # a-invariants: (0, 1, 0, -704, 6960) # Cremona label: 264c4 # (15,0) # # a-invariants: (0, 1, 0, -8016, -278928) # Cremona label: 264d1 # (-52,0) # # a-invariants: (0, 1, 0, -7976, -281808) # Cremona label: 264d2 # (103,0) # # a-invariants: (1, -1, 1, -138, 656) # Cremona label: 265a1 # (7,-4) (8,-9) (8,0) (6,1) (6,-8) (571/81,-2942/729) (-53/4,85/8) (-53/4,13/8) (571/81,-2926/729) (48728/5929,-4632237/456533) (44646/7225,85501/614125) (44646/7225,-4494536/614125) (48728/5929,423648/456533) (43402081/20736,-289004751737/2985984) (43402081/20736,282751866089/2985984) # # a-invariants: (1, -1, 1, -133, 702) # Cremona label: 265a2 # (-53/4,49/8) (18,-72) (18,53) (0,26) (0,-27) (7,5) (583/81,-9613/729) (7,-13) (583/81,3637/729) (-72/121,36918/1331) (954/49,21267/343) (-72/121,-37457/1331) (954/49,-28288/343) (535777/64,-394296989/512) (-4277/324,61885/5832) (-4277/324,9269/5832) (535777/64,390010261/512) (6243930/373321,-14421130352/228099131) (6243930/373321,10377989991/228099131) (316906759/42837025,1420680170533/280368328625) (316906759/42837025,-3775203236813/280368328625) # # a-invariants: (0, 1, 1, -3, 2) # Cremona label: 267a1 # (0,-2) (0,1) # # a-invariants: (0, 1, 1, 27, -37) # Cremona label: 267a2 # # # a-invariants: (0, -1, 1, -441, 6419) # Cremona label: 267b1 # # # a-invariants: (0, -1, 0, 3, -7) # Cremona label: 268a1 # # # a-invariants: (0, 0, 1, -2, -1) # Cremona label: 269a1 # (-1,0) (-1,-1) (3,4) (3,-5) (-7/16,-45/64) (-7/16,-19/64) (139/81,-1045/729) (139/81,316/729) (-2089/3025,8216/166375) (-2089/3025,-174591/166375) (142689/10816,53017745/1124864) (142689/10816,-54142609/1124864) # # a-invariants: (1, -1, 0, -15, 35) # Cremona label: 270a1 # (1,-5) (1,4) # # a-invariants: (1, -1, 0, 120, -424) # Cremona label: 270a2 # # # a-invariants: (1, -1, 1, 7, -103) # Cremona label: 270b1 # (7,12) (7,-20) # # a-invariants: (1, -1, 1, -1433, -20519) # Cremona label: 270b2 # # # a-invariants: (1, -1, 1, -2, -1) # Cremona label: 270c1 # # # a-invariants: (1, -1, 1, 13, 11) # Cremona label: 270c2 # (1,-6) (1,4) # # a-invariants: (1, -1, 0, -159, 813) # Cremona label: 270d1 # (7,-6) (7,-1) # # a-invariants: (1, -1, 0, 66, 2708) # Cremona label: 270d2 # # # a-invariants: (0, 1, 0, -8, 4) # Cremona label: 272a1 # (2,0) (-2,-4) (0,2) (0,-2) (-2,4) (3,-4) (3,4) (10,-32) (10,32) (14/25,-12/125) (-32/9,10/27) (-32/9,-10/27) (14/25,12/125) (177/64,1673/512) (610/49,15296/343) (177/64,-1673/512) (610/49,-15296/343) (-6482/3721,-898924/226981) (-480/3481,464698/205379) (-6482/3721,898924/226981) (-480/3481,-464698/205379) (214819/225,99617228/3375) (214819/225,-99617228/3375) # # a-invariants: (0, 1, 0, -48, -140) # Cremona label: 272a2 # (-5,0) (-4,-2) (12,-34) (-4,2) (12,34) (-63/16,-119/64) (-63/16,119/64) (11,28) (11,-28) (-1124/225,926/3375) (3820,236130) (-1124/225,-926/3375) (3820,-236130) (41441/3136,-7257713/175616) (41441/3136,7257713/175616) (-50255524/12952801,79142495458/46617130799) (-50255524/12952801,-79142495458/46617130799) # # a-invariants: (0, 0, 0, -11, -6) # Cremona label: 272b1 # (-3,0) (5,-8) (5,8) (-1,-2) (-1,2) (-11/9,-64/27) (6,-12) (6,12) (-11/9,64/27) (389,-7672) (389,7672) (-145/49,-274/343) (-145/49,274/343) (-3459/4225,-430464/274625) (2497/576,-72865/13824) (-3459/4225,430464/274625) (2497/576,72865/13824) (120609068148481/12232646150400,1242955559581501375871/42783924563947008000) (120609068148481/12232646150400,-1242955559581501375871/42783924563947008000) # # a-invariants: (0, 0, 0, -91, 330) # Cremona label: 272b2 # (5,0) (6,0) (-11,0) (-3,24) (7,6) (23,-102) (23,102) (-3,-24) (37/9,-136/27) (7,-6) (37/9,136/27) (249/16,3315/64) (589/169,-16320/2197) (-19/25,2496/125) (249/16,-3315/64) (70/9,260/27) (-19/25,-2496/125) (70/9,-260/27) (589/169,16320/2197) (-101147/9801,12651128/970299) (-101147/9801,-12651128/970299) (19063/49,-2631222/343) (19063/49,2631222/343) (48911046/1256641,-332619382680/1408694561) (15858241/2433600,14059816289/3796416000) (48911046/1256641,332619382680/1408694561) (15858241/2433600,-14059816289/3796416000) # # a-invariants: (0, 0, 0, -1451, 21274) # Cremona label: 272b3 # (22,0) (21,-8) (21,8) (199/9,-26/27) (549/25,32/125) (199/9,26/27) (-3,-160) (-3,160) (549/25,-32/125) (31,78) (31,-78) (10321/400,-254631/8000) (33862/1521,130580/59319) (33862/1521,-130580/59319) (-6411/289,-1013384/4913) (-6411/289,1013384/4913) (10321/400,254631/8000) (187162999/480249,2548732738474/332812557) (1166569509/59059225,-8116188362848/453870144125) (1166569509/59059225,8116188362848/453870144125) (187162999/480249,-2548732738474/332812557) # # a-invariants: (0, 0, 0, -11, 890) # Cremona label: 272b4 # (7,34) (7,-34) (-10,0) (199/9,2890/27) (199/9,-2890/27) (-1,30) (-1,-30) (-23/4,221/8) (58,442) (58,-442) (-23/4,-221/8) (454/225,99892/3375) (37985/2704,8327535/140608) (-28673/3481,4217734/205379) (454/225,-99892/3375) (55567/361,13097174/6859) (37985/2704,-8327535/140608) (-28673/3481,-4217734/205379) (55567/361,-13097174/6859) (434211337/39664804,-11396991488051/249808935592) (434211337/39664804,11396991488051/249808935592) # # a-invariants: (0, -1, 0, -4, 0) # Cremona label: 272c1 # (0,0) # # a-invariants: (0, -1, 0, 16, -16) # Cremona label: 272c2 # (1,0) # # a-invariants: (0, -1, 0, -48, -64) # Cremona label: 272d1 # (8,0) # # a-invariants: (0, -1, 0, -688, -6720) # Cremona label: 272d2 # (-15,0) # # a-invariants: (0, -1, 0, -1648, 26304) # Cremona label: 272d3 # (24,0) # # a-invariants: (0, -1, 0, -1808, 21056) # Cremona label: 272d4 # (-47,0) # # a-invariants: (0, -1, 1, -26, 68) # Cremona label: 273a1 # (11,-32) (11,31) (4,3) (4,-4) (2,4) (2,-5) (-3,10) (-3,-11) (-19/4,59/8) (-19/4,-67/8) (1,-7) (1,6) (86/25,-409/125) (86/25,284/125) (64/9,-388/27) (64/9,361/27) (119,-1292) (119,1291) (337/16,5841/64) (337/16,-5905/64) (2543/529,61925/12167) (2543/529,-74092/12167) (456/169,6007/2197) (456/169,-8204/2197) (-4114/3721,-2319089/226981) (-4114/3721,2092108/226981) (-17111/3025,171063/166375) (-17111/3025,-337438/166375) (-5731/13924,-15398483/1643032) (-5731/13924,13755451/1643032) (5350538/1014049,6718740620/1021147343) (5350538/1014049,-7739887963/1021147343) (2484028/82369,-3809074380/23639903) (2484028/82369,3785434477/23639903) # # a-invariants: (0, 1, 1, 2540, -157433) # Cremona label: 273b1 # # # a-invariants: (1, 0, 0, -7, 9) # Cremona label: 274a1 # (2,-3) (2,1) (-2,-3) (-2,5) (0,3) (0,-3) (4,-9) (4,5) (14,45) (14,-59) (10/9,-61/27) (10/9,31/27) (-13/4,15/8) (-13/4,11/8) (58/49,-769/343) (58/49,363/343) (414/25,7353/125) (414/25,-9423/125) (628/169,9417/2197) (628/169,-17581/2197) (-112/841,78495/24389) (-112/841,-75247/24389) (-8690/4761,-1035767/328509) (-8690/4761,1635377/328509) (136561/64,49921645/512) (136561/64,-51014133/512) # # a-invariants: (1, -1, 0, -2846, 59156) # Cremona label: 274b1 # (31,-15) (31,-16) (29,-34) (29,5) (163/4,621/8) (163/4,-947/8) (47245/1521,-928654/59319) (47245/1521,-913901/59319) (-53825/2209,-33726768/103823) (-53825/2209,36256543/103823) (307639697/9834496,-550762944103/30840979456) (307639697/9834496,-413995145689/30840979456) # # a-invariants: (1, -1, 0, -2, 0) # Cremona label: 274c1 # (0,0) (2,0) (-1,0) (2,-2) (-1,1) (9,21) (-2/9,20/27) (-2/9,-14/27) (9,-30) (-49/100,1071/1000) (200/49,-3060/343) (-49/100,-581/1000) (200/49,1660/343) (6889/2601,200030/132651) (6889/2601,-551369/132651) (501804801/272910400,-3882640130811/4508479808000) (501804801/272910400,-4407175181709/4508479808000) # # a-invariants: (1, -1, 0, 8, -6) # Cremona label: 274c2 # (3/4,-3/8) (1,-2) (35,188) (35,-223) (1,1) (525/289,12594/4913) (79/9,587/27) (79/9,-824/27) (525/289,-21519/4913) (17599/4900,2027353/343000) (209597/55696,82680349/13144256) (17599/4900,-3259283/343000) (209597/55696,-132145241/13144256) # # a-invariants: (1, -1, 1, 20, 22) # Cremona label: 275a1 # (-1,0) (4,10) (4,-15) (8,21) (79,660) (-11/16,-185/64) (16/9,-250/27) (8,-30) (79,-740) (16/9,175/27) (-11/16,165/64) (535/2601,-762104/132651) (61889/3136,-17351475/175616) (91564/5041,24615510/357911) (91564/5041,-31474465/357911) (61889/3136,13710075/175616) (535/2601,602168/132651) (10124383936/150479289,952355102981975/1845929438163) (10124383936/150479289,-1078396850163050/1845929438163) # # a-invariants: (1, -1, 1, -105, 272) # Cremona label: 275a2 # (-11,5) (9,-5) (11/4,-15/8) (34,-205) (34,170) (-44/9,740/27) (0,16) (0,-17) (-44/9,-635/27) (14,-45) (14,30) (-2299/289,132585/4913) (97/9,-635/27) (-2299/289,-98415/4913) (1269/16,42055/64) (319/196,-31655/2744) (1269/16,-47195/64) (319/196,24445/2744) (97/9,317/27) (225974/841,-110482305/24389) (434236/178929,274508540/75686967) (414154/43681,26524930/9129329) (434236/178929,-533877335/75686967) (225974/841,103904670/24389) (414154/43681,-122212445/9129329) (170807785/8156736,-2195940174737/23295638016) (170807785/8156736,1684817502761/23295638016) # # a-invariants: (1, -1, 1, -730, -7228) # Cremona label: 275a3 # (-69/4,65/8) (-16,20) (-16,-5) (134,-1580) (134,1445) (39,130) (-125/9,-68/27) (39,-170) (-125/9,416/27) (-1636/121,15220/1331) (12074/361,-600620/6859) (12074/361,364355/6859) (-1636/121,1445/1331) (11677/144,1103485/1728) (-868209/56644,275698585/13481272) (11677/144,-1245337/1728) (-868209/56644,-82546115/13481272) (-27665356/1615441,6769373620/2053225511) (-27665356/1615441,26340068345/2053225511) (9888452319/36735721,946712553770230/222655204981) (9888452319/36735721,-1006869118480670/222655204981) # # a-invariants: (1, -1, 1, -1480, 22272) # Cremona label: 275a4 # (91/4,-95/8) (54,285) (24,0) (24,-25) (54,-340) (361/9,3820/27) (25,8) (361/9,-4930/27) (25,-34) (1074,-35700) (19164/841,-259760/24389) (19164/841,-320385/24389) (1074,34625) (380821/4624,198745495/314432) (41287/1764,-1452865/74088) (41287/1764,-355277/74088) (380821/4624,-224955755/314432) (179045797921/7815797649,-6321206449046620/690971222755143) (179045797921/7815797649,-10198666630510370/690971222755143) # # a-invariants: (0, 1, 1, -8, 19) # Cremona label: 275b1 # # # a-invariants: (0, 1, 1, -258, -2981) # Cremona label: 275b2 # # # a-invariants: (0, 1, 1, -195508, -33338481) # Cremona label: 275b3 # # # a-invariants: (1, 0, 1, 0, -1) # Cremona label: 277a1 # (1,0) (1,-2) (7/4,-31/8) (7/4,9/8) (169/9,1946/27) (169/9,-2480/27) (4561/6400,-596449/512000) (4561/6400,-280431/512000) # # a-invariants: (1, 0, 0, -1, 9) # Cremona label: 278a1 # (2,3) (2,-5) (-2,3) (-2,-1) (0,-3) (0,3) (10,-37) (10,27) (8,-27) (8,19) (-2/9,85/27) (-2/9,-79/27) (-46/25,407/125) (-46/25,-177/125) (37/16,-363/64) (37/16,215/64) (738,-20421) (738,19683) (910/529,33589/12167) (910/529,-54519/12167) (-2920/1369,135169/50653) (-2920/1369,-27129/50653) (3322/15129,5316881/1860867) (3322/15129,-5725487/1860867) (106352/8281,-39826935/753571) (106352/8281,30148903/753571) (-8860943/5345344,-21958535861/12358435328) (-8860943/5345344,42445036077/12358435328) # # a-invariants: (1, 0, 1, -537, 6908) # Cremona label: 278b1 # (4,67) (4,-72) # # a-invariants: (1, 0, 1, 4328, -100122) # Cremona label: 278b2 # # # a-invariants: (1, 0, 1, -602, 5628) # Cremona label: 278b3 # (14,-7) (14,-8) # # a-invariants: (0, -1, 0, -1, 5) # Cremona label: 280a1 # (1,-2) (1,2) (-1,2) (-1,-2) (5,-10) (5,10) (4,-7) (4,7) (-11/9,46/27) (-11/9,-46/27) (31/25,254/125) (31/25,-254/125) (281,4702) (281,-4702) (149/196,-5557/2744) (149/196,5557/2744) (-1655/2209,-226690/103823) (-1655/2209,226690/103823) (30799/4761,-4953842/328509) (30799/4761,4953842/328509) # # a-invariants: (0, 0, 0, -412, 3316) # Cremona label: 280b1 # (-18,70) (-18,-70) (52,350) (52,-350) (2,50) (2,-50) (17,35) (17,-35) (10,14) (10,-14) (12,-10) (12,10) (118/9,-350/27) (118/9,350/27) (33/4,-175/8) (33/4,175/8) (22,70) (22,-70) (-4,-70) (-4,70) (122,-1330) (122,1330) (-23,25) (-23,-25) (402,-8050) (402,8050) (-92/9,2170/27) (-92/9,-2170/27) (30,-134) (30,134) (97/16,2065/64) (97/16,-2065/64) (1742/121,25550/1331) (1742/121,-25550/1331) (548/49,3550/343) (548/49,-3550/343) (1858/169,-23590/2197) (1858/169,23590/2197) (369/25,2653/125) (369/25,-2653/125) (442/81,25570/729) (442/81,-25570/729) (11772/361,-1074850/6859) (11772/361,1074850/6859) (-9818/841,-1971550/24389) (-9818/841,1971550/24389) (2393/4,116995/8) (2393/4,-116995/8) (-6490/289,-173222/4913) (-6490/289,173222/4913) (53548/529,-12159770/12167) (53548/529,12159770/12167) (-7782/2809,9915850/148877) (-7782/2809,-9915850/148877) (180073/8649,-49342825/804357) (180073/8649,49342825/804357) (57844/4489,3642230/300763) (57844/4489,-3642230/300763) (2169593/222784,1585405325/105154048) (2169593/222784,-1585405325/105154048) (-4745247/247009,7899896395/122763473) (-4745247/247009,-7899896395/122763473) # # a-invariants: (1, 1, 1, 58, -61) # Cremona label: 282a1 # (9,31) (9,-41) (1,-1) # # a-invariants: (1, 1, 1, -262, -829) # Cremona label: 282a2 # (-13/4,9/8) (17,-9) (-15,7) # # a-invariants: (1, 1, 1, -3502, -81181) # Cremona label: 282a3 # (-141/4,137/8) # # a-invariants: (1, 1, 1, -2142, 36771) # Cremona label: 282a4 # (115/4,-119/8) # # a-invariants: (1, 1, 1, -15, 21) # Cremona label: 282b1 # (-5,2) (1,2) (3,2) (3,-6) (1,-4) (7,-22) (-1,6) (-1,-6) (7,14) (19,-94) (-3,-6) (19,74) (-3,8) (7/4,-29/8) (19/9,22/27) (19/9,-106/27) (7/4,7/8) (-101/25,922/125) (45,-328) (45,282) (-101/25,-542/125) (-17/121,-6998/1331) (239/49,-4374/343) (239/49,2358/343) (-17/121,5854/1331) (1369/361,-59146/6859) (243/529,-55922/12167) (243/529,38166/12167) (1369/361,26276/6859) (-2711/576,-24079/13824) (-2711/576,75319/13824) (26803/169,-4579414/2197) (26803/169,4228778/2197) (1037951/93025,-1235662266/28372625) (1037951/93025,890714586/28372625) (191221699/138791961,-6035169404006/1635108092541) (191221699/138791961,2147278475546/1635108092541) # # a-invariants: (1, 1, 1, -255, 1461) # Cremona label: 282b2 # (35/4,-39/8) (9,-6) (-3,-46) (-3,48) (9,-4) (11,6) (11,-18) (67/9,74/27) (67/9,-302/27) (21,-88) (417/49,-2148/343) (21,66) (417/49,-1114/343) (319/36,-1091/216) (319/36,-1039/216) (-283/16,-1299/64) (-283/16,2367/64) (1149/25,34458/125) (32265/3721,-953518/226981) (1149/25,-40328/125) (32265/3721,-1241628/226981) (135163/23409,-65967002/3581577) (135163/23409,41705486/3581577) (57731/5929,-174882/456533) (57731/5929,-4726938/456533) (1766769/190969,-230775812/83453453) (1766769/190969,-624755694/83453453) (15467089/97344,-63201085949/30371328) (15467089/97344,58344982853/30371328) # # a-invariants: (1, 0, 0, 19, 0) # Cremona label: 285a1 # (0,0) (19,-95) (1,4) (19,76) (1,-5) (19/4,-133/8) (19/4,95/8) (4,10) (4,-14) (19/25,437/125) (25,-140) (25,115) (19/25,-532/125) (1/64,275/512) (1/64,-283/512) (1216,-43016) (1216,41800) (729/49,-23220/343) (931/729,89243/19683) (729/49,18117/343) (931/729,-114380/19683) (40804/7225,8821138/614125) (40804/7225,-12289478/614125) (157609/284089,-539356657/151419437) (157609/284089,455351060/151419437) (74770609/246016,-665416888559/122023936) (74770609/246016,628330666495/122023936) # # a-invariants: (1, 0, 0, -76, -19) # Cremona label: 285a2 # (-1/4,1/8) (-7,-10) (11,-28) (11,17) (-7,17) (20,-91) (20,71) (-4,-13) (-4,17) (101,-1063) (-1,-7) (-1,8) (101,962) (35/4,-17/8) (35/4,-53/8) (-139/16,143/64) (-139/16,413/64) (-73/49,3536/343) (-73/49,-3025/343) (61,442) (61,-503) (-916/289,-60389/4913) (644/25,13843/125) (-916/289,75961/4913) (644/25,-17063/125) (-1303/169,-15946/2197) (16691/1681,702937/68921) (-1303/169,32885/2197) (16691/1681,-1387268/68921) (-1201/3844,-481589/238328) (77825/64,21401317/512) (-1201/3844,556051/238328) (77825/64,-22023917/512) (548531/43681,-352626452/9129329) (548531/43681,237983473/9129329) (577060/35721,-426428911/6751269) (577060/35721,317364571/6751269) # # a-invariants: (1, 1, 0, 2, -17) # Cremona label: 285b1 # (2,-1) (6,13) (6,-19) (27/4,125/8) (27/4,-179/8) (2057/1024,-46325/32768) (19474/9,2689157/27) (2057/1024,-19499/32768) (19474/9,-2747579/27) (127691238/16703569,-1814796573733/68267486503) (127691238/16703569,1292922484027/68267486503) # # a-invariants: (1, 1, 0, -93, -378) # Cremona label: 285b2 # (-21/4,21/8) (-6,0) (26,112) (26,-138) (-6,6) (-1719/256,14877/4096) (43/4,-67/8) (43/4,-19/8) (-1719/256,12627/4096) (-26358/4489,-5472/300763) (-26358/4489,1771458/300763) (120746/3721,36977872/226981) (120746/3721,-44343378/226981) (19941457/9216,88117930537/884736) (19941457/9216,-90032310409/884736) # # a-invariants: (1, 1, 0, 23, -176) # Cremona label: 285c1 # (4,-2) # # a-invariants: (1, 1, 0, -382, -2849) # Cremona label: 285c2 # (22,-11) (-37/4,37/8) (-14,7) # # a-invariants: (1, 1, 0, -6007, -181724) # Cremona label: 285c3 # (-181/4,181/8) # # a-invariants: (1, 1, 0, -1237, 13054) # Cremona label: 285c4 # (58,346) (107/4,-107/8) (58,-404) # # a-invariants: (1, 0, 1, -7, 42) # Cremona label: 286a1 # (0,-7) (0,6) # # a-invariants: (1, 0, 1, 58, -1128) # Cremona label: 286a2 # # # a-invariants: (1, 1, 1, 13, 177) # Cremona label: 286b1 # (19,-98) (19,78) (3,14) (3,-18) (-3,-10) (-3,12) (-5,-2) (-5,6) (-5/9,-358/27) (-5/9,346/27) (7,22) (7,-30) (63,474) (63,-538) (99,-1042) (99,942) (211/25,-4506/125) (211/25,3326/125) (1/9,346/27) (1/9,-376/27) (-1373/289,37902/4913) (-1373/289,-19474/4913) (-597/169,24870/2197) (-597/169,-19306/2197) (435/196,36679/2744) (435/196,-45513/2744) (8035/529,687666/12167) (8035/529,-884638/12167) (127027/81,44719678/729) (127027/81,-45863650/729) (23353/961,-4097006/29791) (23353/961,3343272/29791) (-1413713/1172889,16250082214/1270238787) (-1413713/1172889,-15989269822/1270238787) # # a-invariants: (1, 1, 0, -33, 61) # Cremona label: 286c1 # (1,5) (1,-6) (3,-2) (3,-1) (15/4,-37/8) (15/4,7/8) (-5,14) (-5,-9) (97/9,-1042/27) (97/9,751/27) (169/64,-167/512) (169/64,-1185/512) (3249/1225,-98113/42875) (3249/1225,-15602/42875) (5499/529,-443407/12167) (5499/529,316930/12167) (-103553/20164,39746229/2863288) (-103553/20164,-25041703/2863288) # # a-invariants: (1, 1, 1, 280, 393) # Cremona label: 286d1 # (1,-27) (1,25) (27,155) (27,-183) # # a-invariants: (1, 1, 1, -27930, -1808687) # Cremona label: 286d2 # # # a-invariants: (1, 1, 1, -66, -313) # Cremona label: 286e1 # # # a-invariants: (1, 1, 1, 0, -1) # Cremona label: 286f1 # # # a-invariants: (0, 0, 0, 3, 0) # Cremona label: 288a1 # (0,0) (1,-2) (1,2) (3,6) (3,-6) (12,42) (1/4,-7/8) (12,-42) (1/4,7/8) (121/9,-1342/27) (121/9,1342/27) (27/121,1098/1331) (27/121,-1098/1331) (2209/784,-121871/21952) (2352/2209,217812/103823) (2209/784,121871/21952) (2352/2209,-217812/103823) (169/225625,5080322/107171875) (676875/169,556881450/2197) (676875/169,-556881450/2197) (169/225625,-5080322/107171875) (51825601/16208676,424317173273/65256129576) (51825601/16208676,-424317173273/65256129576) # # a-invariants: (0, 0, 0, -12, 0) # Cremona label: 288a2 # (0,0) (6,-12) (6,12) (-2,-4) (-2,4) (4,4) (4,-4) (-3,3) (-3,-3) (54,396) (-2/9,-44/27) (-2/9,44/27) (54,-396) (-48/49,-1128/343) (49/4,329/8) (-48/49,1128/343) (49/4,-329/8) (-1250/361,1300/6859) (-1250/361,-1300/6859) (2166/625,2964/15625) (2166/625,-2964/15625) (14884/1089,1756556/35937) (-3267/3721,-712701/226981) (14884/1089,-1756556/35937) (-3267/3721,712701/226981) (6723649/1731856,-7871603809/2279122496) (6723649/1731856,7871603809/2279122496) (152719950436/38130625,-59682017987751316/235456609375) (152719950436/38130625,59682017987751316/235456609375) # # a-invariants: (0, 0, 0, -21, -20) # Cremona label: 288b1 # (5,0) (-1,0) (-4,0) (23,-108) (-7/4,-27/8) (-7/4,27/8) (8,-18) (-3,-4) (8,18) (23,108) (-3,4) (-244/169,5940/2197) (989/25,30888/125) (-409/121,4680/1331) (989/25,-30888/125) (105/16,715/64) (-244/169,-5940/2197) (-409/121,-4680/1331) (105/16,-715/64) (-24467/23409,-3218068/3581577) (-278263/70756,24988419/18821096) (-24467/23409,3218068/3581577) (210152/529,-96332166/12167) (-278263/70756,-24988419/18821096) (210152/529,96332166/12167) (337805601/32718400,-5500308411599/187149248000) (337805601/32718400,5500308411599/187149248000) # # a-invariants: (0, 0, 0, -291, -1910) # Cremona label: 288b2 # (-10,0) (26,-90) (-39/4,-5/8) (26,90) (-39/4,5/8) (-200890/20449,-2375820/2924207) (-200890/20449,2375820/2924207) (16449/400,1887457/8000) (16449/400,-1887457/8000) (-16526681639/1656327204,28930379994235/67409204548392) (-16526681639/1656327204,-28930379994235/67409204548392) # # a-invariants: (0, 0, 0, -156, 736) # Cremona label: 288b3 # (8,0) (14,-36) (14,36) (6,4) (-10,36) (-10,-36) (5,9) (5,-9) (6,-4) (-4,36) (-4,-36) (24,-104) (206/25,-396/125) (158,-1980) (41/4,117/8) (206/25,396/125) (158,1980) (41/4,-117/8) (24,104) (-691/49,-3933/343) (854/289,85212/4913) (854/289,-85212/4913) (2300/361,-5796/6859) (70/81,-17884/729) (-691/49,3933/343) (2300/361,5796/6859) (70/81,17884/729) (268766/4489,-136513908/300763) (268766/4489,136513908/300763) (121544/3025,-40526928/166375) (24657/2704,1190695/140608) (121544/3025,40526928/166375) (24657/2704,-1190695/140608) (9793181/2531281,55565622261/4027268071) (9793181/2531281,-55565622261/4027268071) (14872033481/37429924,1812772910079963/228996275032) (14872033481/37429924,-1812772910079963/228996275032) # # a-invariants: (0, 0, 0, 69, -146) # Cremona label: 288b4 # (2,0) (5,18) (29,162) (5,-18) (29,-162) (6,22) (89/4,891/8) (6,-22) (89/4,-891/8) (1589,63342) (1589,-63342) (1085/529,-24786/12167) (1085/529,24786/12167) (8097/1936,1251185/85184) (165266/4225,-68603436/274625) (8097/1936,-1251185/85184) (165266/4225,68603436/274625) (4918888486/12383361,345060224339138/43577047359) (4918888486/12383361,-345060224339138/43577047359) # # a-invariants: (0, 0, 0, -21, 20) # Cremona label: 288c1 # (1,0) (-5,0) (4,0) # # a-invariants: (0, 0, 0, -156, -736) # Cremona label: 288c2 # (-8,0) # # a-invariants: (0, 0, 0, -291, 1910) # Cremona label: 288c3 # (13,-18) (10,0) (13,18) # # a-invariants: (0, 0, 0, 69, 146) # Cremona label: 288c4 # (-2,0) # # a-invariants: (0, 0, 0, -9, 0) # Cremona label: 288d1 # (0,0) (-3,0) (3,0) # # a-invariants: (0, 0, 0, -99, -378) # Cremona label: 288d2 # (-6,0) # # a-invariants: (0, 0, 0, -99, 378) # Cremona label: 288d3 # (6,0) # # a-invariants: (0, 0, 0, 36, 0) # Cremona label: 288d4 # (0,0) # # a-invariants: (0, 0, 0, 27, 0) # Cremona label: 288e1 # (0,0) # # a-invariants: (0, 0, 0, -108, 0) # Cremona label: 288e2 # (0,0) # # a-invariants: (1, -1, 1, -199, 510) # Cremona label: 289a1 # (13,-7) (30,-160) (30,129) (-365/36,9079/216) (25/49,6677/343) (-12,-27) (-12,38) (-365/36,-7105/216) (36/25,1726/125) (25/49,-7195/343) (36/25,-2031/125) (167821/4225,-69474839/274625) (167821/4225,58291849/274625) (2688673/112896,3100909673/37933056) (6446430/4489,16146203312/300763) (2688673/112896,-4042236857/37933056) (6446430/4489,-16578414885/300763) # # a-invariants: (1, -1, 1, -1644, -24922) # Cremona label: 289a2 # (-21,10) (47,-24) (-101/4,97/8) (26439/169,-4299872/2197) (5881/64,370705/512) (-39917/1764,2078593/74088) (-589/25,-774/125) (-589/25,3594/125) (5881/64,-418265/512) (-39917/1764,-476167/74088) (26439/169,3953968/2197) (24105150241/476985600,1174010234134919/10417365504000) (24105150241/476985600,-1710884080902359/10417365504000) # # a-invariants: (1, -1, 1, -26209, -1626560) # Cremona label: 289a3 # (-373/4,369/8) (625,14715) (625,-15341) (-15755/169,100153/2197) (-15755/169,102465/2197) (2177633/10816,-1360098843/1124864) (-4109621/44100,424744013/9261000) (-4109621/44100,429015397/9261000) (2177633/10816,1132500147/1124864) # # a-invariants: (1, -1, 1, -199, -68272) # Cremona label: 289a4 # (171/4,-175/8) (5597/16,406379/64) (239/4,-3133/8) (239/4,2647/8) (5597/16,-428831/64) (46152859/298116,-321242768995/162771336) (142929/1600,-53319413/64000) (142929/1600,47538253/64000) (46152859/298116,295880536645/162771336) (12194514373199/8960136964,-43147014348253626257/848148644738312) (12194514373199/8960136964,41991857858070617003/848148644738312) # # a-invariants: (1, -1, 0, -70, -204) # Cremona label: 290a1 # (-4,2) (12,18) (12,-30) (-5,4) (-5,1) (-1300/289,418/4913) (253/9,3386/27) (-1300/289,21682/4913) (253/9,-4145/27) (1336764/21025,1425344898/3048625) (1336764/21025,-1619175678/3048625) # # a-invariants: (1, -1, 0, 10, -700) # Cremona label: 290a2 # (35/4,-35/8) (40,230) (16,50) (16,-66) (40,-270) (11,-31) (985/9,-32290/27) (985/9,29335/27) (11,20) (8140/841,-490530/24389) (6316/25,-517026/125) (8140/841,254470/24389) (6316/25,485446/125) (71821/2601,-20618401/132651) (71821/2601,16955530/132651) # # a-invariants: (0, -1, 1, -2174, 151262) # Cremona label: 291a1 # # # a-invariants: (1, 1, 1, -169, 686) # Cremona label: 291b1 # (9,-5) (-61/4,57/8) (5,-3) # # a-invariants: (1, 1, 1, -654, -5910) # Cremona label: 291b2 # (-77/4,73/8) # # a-invariants: (1, 1, 1, -164, 740) # Cremona label: 291b3 # (6,1) (7,-4) (6,-8) # # a-invariants: (1, 1, 1, 236, 3926) # Cremona label: 291b4 # (-45/4,41/8) (13,90) (13,-104) # # a-invariants: (1, 1, 1, -3, 0) # Cremona label: 291c1 # (1,-1) (-2,2) (0,-1) (-2,-1) (0,0) (7/4,7/8) (7/4,-29/8) (5,-15) (5,9) (-24/25,211/125) (-26/49,377/343) (-24/25,-216/125) (-26/49,-538/343) (1897/169,72899/2197) (745/576,-265/13824) (1897/169,-99757/2197) (745/576,-31439/13824) (4834901/4558225,-5697038481/9731810375) (4834901/4558225,-14357285529/9731810375) # # a-invariants: (1, 1, 1, -18, -36) # Cremona label: 291c2 # (-13/4,9/8) (21,-108) (-3,0) (-3,2) (21,86) (23/4,-105/8) (-371/144,101/1728) (-371/144,2623/1728) (23/4,51/8) (-3051/1225,47998/42875) (-3051/1225,15912/42875) (17613/3721,242198/226981) (17613/3721,-1543572/226981) (1121233/97344,-1349251645/30371328) (1121233/97344,969055621/30371328) # # a-invariants: (0, -1, 1, 0, -1) # Cremona label: 291d1 # # # a-invariants: (1, 1, 1, -50, 293) # Cremona label: 294a1 # # # a-invariants: (1, 1, 1, -6910, -232261) # Cremona label: 294a2 # # # a-invariants: (1, 0, 0, -1, -1) # Cremona label: 294b1 # # # a-invariants: (1, 0, 0, -141, 657) # Cremona label: 294b2 # (-6,39) (-6,-33) (6,3) (6,-9) (12,-33) (12,21) # # a-invariants: (1, 0, 0, -197, -2367) # Cremona label: 294c1 # (46,271) (18,-9) (46,-317) # # a-invariants: (1, 0, 0, -4117, -101935) # Cremona label: 294c2 # (-38,19) (74,-37) (-145/4,145/8) # # a-invariants: (1, 0, 0, -65857, -6510547) # Cremona label: 294c3 # (-593/4,593/8) # # a-invariants: (1, 0, 0, -5097, -49995) # Cremona label: 294c4 # (-66,33) (303/4,-303/8) (-10,5) # # a-invariants: (1, 0, 0, -44787, 3609423) # Cremona label: 294c5 # (527/4,-527/8) # # a-invariants: (1, 0, 0, 18913, -381333) # Cremona label: 294c6 # (79/4,-79/8) # # a-invariants: (1, 0, 1, 23, -52) # Cremona label: 294d1 # (4,-13) (4,8) # # a-invariants: (1, 0, 1, -712, -7402) # Cremona label: 294d2 # # # a-invariants: (1, 1, 0, 1151, 18901) # Cremona label: 294e1 # # # a-invariants: (1, 1, 0, -34864, 2503936) # Cremona label: 294e2 # # # a-invariants: (1, 1, 0, 122, -10940) # Cremona label: 294f1 # (20,-10) # # a-invariants: (1, 1, 0, -6738, -209880) # Cremona label: 294f2 # (-165/4,165/8) # # a-invariants: (1, 0, 1, 2, 32) # Cremona label: 294g1 # (-3,1) (1,5) (4,-13) (1,-7) (4,8) (25,113) (-2,-4) (-2,5) (25,-139) (13,-55) (-5/4,43/8) (-5/4,-41/8) (13,41) (6,13) (1/9,-169/27) (6,-20) (1/9,139/27) (172,2171) (-71/25,-143/125) (172,-2344) (-71/25,373/125) (169/64,-4865/512) (169/64,3001/512) (709/361,-56533/6859) (709/361,36203/6859) (-2180/841,-57833/24389) (3217/49,-194305/343) (-2180/841,96664/24389) (3217/49,171443/343) (-458/1089,-211043/35937) (22065/2809,2838641/148877) (-458/1089,190220/35937) (22065/2809,-4156963/148877) (-36299/48841,-60623987/10793861) (-36299/48841,57852205/10793861) (1984174/46225,2587238788/9938375) (1984174/46225,-3023774573/9938375) (-5074247/2122849,13741823173/3092990993) (-5074247/2122849,-9441636287/3092990993) (-143647023/48888064,-113746166497/341825343488) (-143647023/48888064,776300807825/341825343488) # # a-invariants: (1, 0, 1, -138, 592) # Cremona label: 294g2 # (23/4,-27/8) (-1,-27) (11,15) (11,-27) (-1,27) (8,-9) (8,0) (-10,36) (-10,-27) (5,3) (5,-9) (53,-405) (53,351) (4,-13) (26,-135) (26,108) (4,8) (191/25,-351/125) (-13,-9) (191/25,-729/125) (-13,21) (59/4,-405/8) (59/4,279/8) (29/16,1107/64) (29/16,-1287/64) (275/49,-351/343) (275/49,-1917/343) (263,4131) (263,-4395) (82/9,155/27) (-580/121,47601/1331) (-580/121,-42552/1331) (82/9,-428/27) (-979/169,-70929/2197) (2549/289,21195/4913) (2549/289,-69441/4913) (-979/169,81459/2197) (4304/25,-292752/125) (10238/1849,-30393/79507) (10238/1849,-489348/79507) (4304/25,271107/125) (3191/1369,771921/50653) (3191/1369,-940641/50653) (175697/23104,-18344907/3511808) (-28265/2116,-322657/97336) (-28265/2116,1525511/97336) (175697/23104,-11872845/3511808) (2722304/41209,4153121181/8365427) (2722304/41209,-4714114320/8365427) (31919266/3059001,-126419589140/5350192749) (31919266/3059001,65242600157/5350192749) (4271930809226/98128695025,-9246675431634513489/30739304360056375) (4271930809226/98128695025,7877732441630366484/30739304360056375) # # a-invariants: (0, -1, 0, -9, 13) # Cremona label: 296a1 # (1,-2) (1,2) (3,2) (3,-2) (-3,2) (-3,-2) (4,5) (4,-5) (13/9,26/27) (13/9,-26/27) (43,-278) (43,278) (9/49,-1154/343) (9/49,1154/343) (261/100,691/1000) (261/100,-691/1000) (-1031/529,53506/12167) (-1031/529,-53506/12167) (10123/1521,846442/59319) (10123/1521,-846442/59319) (56653/34969,-1413526/6539203) (56653/34969,1413526/6539203) # # a-invariants: (0, -1, 0, -33, 85) # Cremona label: 296b1 # (3,-2) (3,2) (4,-1) (4,1) (-5,10) (-5,-10) (21/4,-43/8) (21/4,43/8) (283/81,278/729) (283/81,-278/729) (444/25,8647/125) (444/25,-8647/125) (1603/1681,-504062/68921) (1603/1681,504062/68921) (112081/29584,-242063/5088448) (112081/29584,242063/5088448) # # a-invariants: (0, 0, 1, -81, 290) # Cremona label: 297a1 # (15,49) (15,-50) (6,4) (6,-5) (4,-6) (4,5) (-3,22) (-3,-23) (-39/4,95/8) (-39/4,-103/8) (1,14) (1,-15) (240/49,967/343) (240/49,-1310/343) (186/25,1184/125) (186/25,-1309/125) (355/9,6515/27) (355/9,-6542/27) (1401/16,52141/64) (1401/16,-52205/64) (16251/1849,-1315022/79507) (16251/1849,1235515/79507) (4402/841,63688/24389) (4402/841,-88077/24389) (-205959/25921,84674750/4173281) (-205959/25921,-88848031/4173281) (17069514279/48011041,2229264251025521/332668503089) (17069514279/48011041,-2229596919528610/332668503089) (48408570897/2150733376,-9958962431573113/99742411045376) (48408570897/2150733376,9859220020527737/99742411045376) # # a-invariants: (1, -1, 1, 1, 0) # Cremona label: 297b1 # (0,0) (0,-1) (3,3) (3,-7) (10/9,-70/27) (10/9,13/27) (51/100,221/1000) (51/100,-1731/1000) (2490/289,96430/4913) (2490/289,-143673/4913) (126735201/381030400,-11190804690609/7437713408000) (126735201/381030400,1279220159089/7437713408000) # # a-invariants: (1, -1, 0, 12, -19) # Cremona label: 297c1 # (4,-11) (4,7) (7/4,-25/8) (7/4,11/8) (20,79) (20,-99) (913/64,23933/512) (913/64,-31237/512) # # a-invariants: (0, 0, 1, -9, -11) # Cremona label: 297d1 # # # a-invariants: (1, 0, 0, -19, 33) # Cremona label: 298a1 # (2,-3) (2,1) (-2,9) (-2,-7) (6,-15) (6,9) (4,-7) (4,3) (-4,9) (-4,-5) (22/9,-77/27) (22/9,11/27) (62,-519) (62,457) (34/25,313/125) (34/25,-483/125) (-3/16,-381/64) (-3/16,393/64) (562/49,10667/343) (562/49,-14601/343) (2606/841,-98899/24389) (2606/841,23325/24389) (-5594/1089,46121/35937) (-5594/1089,138481/35937) (13004/4489,-1064183/300763) (13004/4489,192915/300763) (58228/3721,-15449217/226981) (58228/3721,11897309/226981) (24827473/9585216,11590427123/29675828736) (24827473/9585216,-88456283531/29675828736) (-380565454/83521321,5931109907871/763301352619) (-380565454/83521321,-2453122223765/763301352619) # # a-invariants: (1, -1, 0, 1, -1) # Cremona label: 298b1 # (1,-1) (1,0) (5,-13) (5,8) (37/16,-273/64) (37/16,125/64) (613/441,-18248/9261) (613/441,5375/9261) (35281/1849,5745621/79507) (35281/1849,-7262704/79507) # # a-invariants: (0, -1, 0, -13, -23) # Cremona label: 300a1 # # # a-invariants: (0, -1, 0, -1213, -15863) # Cremona label: 300a2 # # # a-invariants: (0, 1, 0, -333, -3537) # Cremona label: 300b1 # (33,-150) (33,150) # # a-invariants: (0, 1, 0, -30333, -2043537) # Cremona label: 300b2 # # # a-invariants: (0, 1, 0, -333, 2088) # Cremona label: 300c1 # (8,0) # # a-invariants: (0, 1, 0, 292, 9588) # Cremona label: 300c2 # (-17,0) # # a-invariants: (0, -1, 0, -13, 22) # Cremona label: 300d1 # (2,0) (1,3) (7,-15) (1,-3) (7,15) (3,-1) (-3,5) (-3,-5) (3,1) (-2,6) (-2,-6) (13/4,15/8) (13/4,-15/8) (13/9,-55/27) (13/9,55/27) (11,33) (11,-33) (49/25,-57/125) (127,-1425) (127,1425) (49/25,57/125) (81/16,497/64) (18/49,-1420/343) (81/16,-497/64) (18/49,1420/343) (2767/961,11505/29791) (2767/961,-11505/29791) (-623/169,-5487/2197) (-623/169,5487/2197) (4027/1089,118207/35937) (-1747/1849,-453585/79507) (4027/1089,-118207/35937) (-1747/1849,453585/79507) (70573/3364,-18033105/195112) (70573/3364,18033105/195112) (289491/9025,-152361761/857375) (289491/9025,152361761/857375) (45166913/15808576,-8274295359/62854898176) (45166913/15808576,8274295359/62854898176) (32715445299/565345729,-5854767765321119/13442225398433) (32715445299/565345729,5854767765321119/13442225398433) # # a-invariants: (0, -1, 0, 12, 72) # Cremona label: 300d2 # (-3,0) (2,10) (6,18) (6,-18) (2,-10) (42,-270) (-2,6) (42,270) (-2,-6) (-3/4,63/8) (-3/4,-63/8) (17,70) (17,-70) (42/121,11610/1331) (94/9,946/27) (94/9,-946/27) (42/121,-11610/1331) (3174/25,-178182/125) (-958/361,26050/6859) (-958/361,-26050/6859) (3174/25,178182/125) (2689/784,-261351/21952) (20157/5041,-4638060/357911) (2689/784,261351/21952) (20157/5041,4638060/357911) (-455898/162409,-188739702/65450827) (-455898/162409,188739702/65450827) (801602/3481,716215630/205379) (801602/3481,-716215630/205379) (1516318/2013561,25698768094/2857243059) (1516318/2013561,-25698768094/2857243059) # # a-invariants: (1, 1, 1, -230, 1251) # Cremona label: 302a1 # (9,-1) (9,-9) (1,31) (1,-33) (73/9,-59/27) (-15,47) (13,-33) (-15,-33) (7,-11) (73/9,-187/27) (33,159) (7,3) (33,-193) (13,19) (-101/9,-1231/27) (1369/121,-29779/1331) (1401/169,-14773/2197) (309/49,-4759/343) (309/49,2253/343) (1369/25,-52957/125) (1369/25,45987/125) (1369/121,13389/1331) (-101/9,1507/27) (1401/169,-5637/2197) (640153/68121,-197350813/17779581) (58663/6724,-1101641/551368) (173817/289,71039287/4913) (640153/68121,12491299/17779581) (58663/6724,-4260093/551368) (173817/289,-73999089/4913) (1737873201/220195921,-24558710233767/3267487271719) (1737873201/220195921,-4497077467591/3267487271719) (381217981/16867449,5473671416077/69274613043) (381217981/16867449,-7108608277087/69274613043) # # a-invariants: (1, 1, 1, 1650, -27389) # Cremona label: 302a2 # (803,-23203) (803,22399) (199,-2969) (199,2769) (343/4,-7293/8) (343/4,6599/8) (16271/361,2418509/6859) (16271/361,-2734517/6859) (235/9,-5371/27) (235/9,4639/27) (577601/33856,430250893/6229504) (577601/33856,-542758981/6229504) (11148038071/225450225,-1514322918311839/3385135128375) (11148038071/225450225,1343549991547399/3385135128375) # # a-invariants: (1, 1, 0, 1, 5) # Cremona label: 302b1 # (-2,1) # # a-invariants: (1, 1, 0, -39, 77) # Cremona label: 302b2 # (11/4,-11/8) # # a-invariants: (1, -1, 1, 0, 3) # Cremona label: 302c1 # (1,-3) (1,1) (-1,1) (-1,-1) (3,3) (3,-7) (9,21) (9,-31) (-1/4,-17/8) (-1/4,11/8) (1/25,161/125) (1/25,-291/125) (139/9,-1823/27) (139/9,1379/27) (391/169,4213/2197) (391/169,-11493/2197) (-1543/1369,31049/50653) (-1543/1369,-24611/50653) (4209/3136,186549/175616) (4209/3136,-597869/175616) (127401/841,43501893/24389) (127401/841,-47220911/24389) (8703934639599/265075671025,23082110194139155433/136475534605576375) (8703934639599/265075671025,-27699849997615474953/136475534605576375) # # a-invariants: (0, 1, 1, -197, -208) # Cremona label: 303a1 # (-2,-14) (-2,13) (52,-365) (52,364) (-35/4,239/8) (-35/4,-247/8) (16,-32) (16,31) (-14,-2) (-14,1) (265/16,-2381/64) (265/16,2317/64) (-998/121,39794/1331) (-998/121,-41125/1331) (2872/49,150529/343) (2872/49,-150872/343) (-179/100,11431/1000) (-179/100,-12431/1000) (14668,-1776524) (14668,1776523) (2502145/53824,-3819618527/12487168) (2502145/53824,3807131359/12487168) (2570844/165649,1767647804/67419143) (2570844/165649,-1835066947/67419143) (11679446248/678446209,-758368967317655/17671488405823) (11679446248/678446209,740697478911832/17671488405823) # # a-invariants: (0, 1, 1, -6, 2) # Cremona label: 303b1 # (0,1) (0,-2) (3,4) (3,-5) (-3,1) (-3,-2) (2,-2) (2,1) (-3/4,17/8) (-3/4,-25/8) (30,166) (30,-167) (9/25,2/125) (9/25,-127/125) (55/9,-424/27) (55/9,397/27) (-252/121,3554/1331) (-252/121,-4885/1331) (1353/784,-8429/21952) (1353/784,-13523/21952) (-3108/1681,-257167/68921) (-3108/1681,188246/68921) (10127/1369,-1060160/50653) (10127/1369,1009507/50653) (23865/61009,-2405762/15069223) (23865/61009,-12663461/15069223) (958854/46225,-959956033/9938375) (958854/46225,950017658/9938375) # # a-invariants: (0, 1, 0, 0, -76) # Cremona label: 304a1 # (10,-32) (10,32) (4,2) (4,-2) (154/9,-1952/27) (154/9,1952/27) (187,2564) (187,-2564) (23098/3481,-3312800/205379) (23098/3481,3312800/205379) (154468/33489,-40376818/6128487) (154468/33489,40376818/6128487) # # a-invariants: (0, 1, 0, -1120, 15604) # Cremona label: 304a2 # (-30,152) (-30,-152) (84,-722) (84,722) (34/9,2888/27) (34/9,-2888/27) (27,76) (27,-76) (18,-40) (18,40) (148/9,-1178/27) (148/9,1178/27) (3666/121,-135736/1331) (3666/121,135736/1331) (-39/64,-65341/512) (-39/64,65341/512) (9730/81,930392/729) (9730/81,-930392/729) (-876/25,-14282/125) (-876/25,14282/125) (139890/49,-52327064/343) (139890/49,52327064/343) (-206669/8649,-137669516/804357) (-206669/8649,137669516/804357) (1983348/267289,-12170744842/138188413) (1983348/267289,12170744842/138188413) (10768642/439569,17165080360/291434247) (10768642/439569,-17165080360/291434247) # # a-invariants: (0, -1, 0, -248, -1424) # Cremona label: 304b1 # # # a-invariants: (0, -1, 0, 152, -5776) # Cremona label: 304b2 # # # a-invariants: (0, -1, 0, -1368, 157168) # Cremona label: 304b3 # # # a-invariants: (0, -1, 0, -8, 16) # Cremona label: 304c1 # (0,-4) (0,4) (2,-2) (2,2) (8,20) (8,-20) (-3,2) (-3,-2) (40/9,-188/27) (40/9,188/27) (66/25,-314/125) (66/25,314/125) (-160/121,6316/1331) (-160/121,-6316/1331) (737/16,-19753/64) (737/16,19753/64) (4512/4489,848780/300763) (4512/4489,-848780/300763) (27202/19881,6718058/2803221) (27202/19881,-6718058/2803221) (885480/41209,806883932/8365427) (885480/41209,-806883932/8365427) (104874614363906/202124937214225,-9837528322234658364146/2873623370495555749625) (104874614363906/202124937214225,9837528322234658364146/2873623370495555749625) # # a-invariants: (0, -1, 0, -1, -3) # Cremona label: 304d1 # # # a-invariants: (0, -1, 0, 11, -3) # Cremona label: 304e1 # # # a-invariants: (0, -1, 0, -149, 797) # Cremona label: 304e2 # # # a-invariants: (0, -1, 0, -12309, 529757) # Cremona label: 304e3 # # # a-invariants: (0, 1, 0, -21, 31) # Cremona label: 304f1 # (3,-2) (3,2) (2,-1) (2,1) (-5,-6) (-5,6) (5/4,-23/8) (5/4,23/8) (123/49,-218/343) (123/49,218/343) (202/9,2879/27) (202/9,-2879/27) (2979/625,-122942/15625) (2979/625,122942/15625) (19217/8464,-329951/778688) (19217/8464,329951/778688) (-97757/61009,-119705598/15069223) (-97757/61009,119705598/15069223) # # a-invariants: (1, -1, 1, -2300, -41857) # Cremona label: 306a1 # (-27,13) # # a-invariants: (1, -1, 1, -1940, -55681) # Cremona label: 306a2 # (219/4,-223/8) # # a-invariants: (1, -1, 1, -6755, 163235) # Cremona label: 306a3 # (-45,634) (91,498) (91,-590) (27,-14) (-45,-590) # # a-invariants: (1, -1, 1, 16285, 1020323) # Cremona label: 306a4 # (-213/4,209/8) (19,-1166) (291,-5654) (291,5362) (19,1146) # # a-invariants: (1, -1, 0, -27, -27) # Cremona label: 306b1 # (6,-3) (-3,6) (-2,-3) (-2,5) (-3,-3) (78,645) (78,-723) (7,6) (7,-13) (-314/81,3493/729) (-129/100,-1461/1000) (-314/81,-667/729) (-129/100,2751/1000) (56238/5041,-13125813/357911) (56238/5041,9132915/357911) (7207/361,-646087/6859) (7207/361,509154/6859) (570358801/21902400,-14469631229539/102503232000) (570358801/21902400,11800352040859/102503232000) # # a-invariants: (1, -1, 0, -387, -2835) # Cremona label: 306b2 # (-45/4,45/8) (27,63) (-11,6) (27,-90) (-11,5) (-4023/361,43650/6859) (-4023/361,32787/6859) (79,-714) (79,635) (-90449/8100,4614931/729000) (-90449/8100,3525479/729000) (279405/2704,136983105/140608) (279405/2704,-151512165/140608) (45713599/1819801,99566600574/2454911549) (45713599/1819801,-161234245625/2454911549) # # a-invariants: (1, -1, 0, -927, 11097) # Cremona label: 306b3 # (19,-1) (36,-171) (36,135) (19,-18) (18,-9) (441/25,-1026/125) (-32,101) (154/9,-367/27) (9,54) (154/9,-95/27) (16,5) (-32,-69) (9,-63) (16,-21) (-9/4,927/8) (441/25,-1179/125) (-9/4,-909/8) (40626/1681,-4189041/68921) (3091/169,-13242/2197) (3924/49,215235/343) (40626/1681,2523375/68921) (5779/25,420523/125) (5779/25,-449418/125) (3924/49,-242703/343) (12049/576,-463117/13824) (12049/576,173941/13824) (3091/169,-26941/2197) (-2233958/149769,-8054288767/57960603) (-2233958/149769,8918830513/57960603) # # a-invariants: (1, -1, 0, -1017, 8883) # Cremona label: 306b4 # (3,75) (-141/4,141/8) (3,-78) (37,-163) (37,126) (921,27462) (813/16,-20445/64) (813/16,17193/64) (921,-28383) (7,42) (5097/169,121629/2197) (-113/36,24037/216) (7,-49) (5097/169,-187890/2197) (-113/36,-23359/216) (-809/25,-8526/125) (-809/25,12571/125) (665557/8281,-530978358/753571) (26226337/968256,-37346239987/952763904) (26226337/968256,11539524379/952763904) (665557/8281,470412671/753571) # # a-invariants: (1, -1, 0, -306, -1836) # Cremona label: 306c1 # (-12,6) # # a-invariants: (1, -1, 0, -1026, 10692) # Cremona label: 306c2 # (12,-6) (99/4,-99/8) (-36,18) # # a-invariants: (1, -1, 0, -15606, 754272) # Cremona label: 306c3 # (291/4,-291/8) (72,-36) (-144,72) # # a-invariants: (1, -1, 0, 2034, 60264) # Cremona label: 306c4 # (-93/4,93/8) # # a-invariants: (1, -1, 0, -249696, 48087270) # Cremona label: 306c5 # (1155/4,-1155/8) # # a-invariants: (1, -1, 0, -14796, 835434) # Cremona label: 306c6 # (-573/4,573/8) # # a-invariants: (1, -1, 1, -23, -21) # Cremona label: 306d1 # (-1,0) # # a-invariants: (1, -1, 1, 67, -201) # Cremona label: 306d2 # (11/4,-15/8) # # a-invariants: (0, 0, 1, -8, -9) # Cremona label: 307a1 # # # a-invariants: (1, 1, 0, 0, -1) # Cremona label: 307b1 # # # a-invariants: (0, 0, 1, 1, -1) # Cremona label: 307c1 # # # a-invariants: (0, -1, 1, 2, -1) # Cremona label: 307d1 # # # a-invariants: (0, -1, 0, -21, 49) # Cremona label: 308a1 # (7,-14) (7,14) (3,2) (3,-2) (0,-7) (0,7) (-5,-2) (-5,2) (7/9,154/27) (7/9,-154/27) (13/4,-17/8) (13/4,17/8) (231/25,-2954/125) (231/25,2954/125) (267,-4354) (267,4354) (952/169,19369/2197) (952/169,-19369/2197) (2995/1089,-76094/35937) (2995/1089,76094/35937) (-20943/4624,1741889/314432) (-20943/4624,-1741889/314432) # # a-invariants: (1, 0, 0, -6, 9) # Cremona label: 309a1 # (3,3) (3,-6) (0,3) (0,-3) (-3,0) (-3,3) (3/4,15/8) (3/4,-21/8) (5,-13) (5,8) (48,309) (48,-357) (51/25,186/125) (51/25,-441/125) (-63/64,2181/512) (-63/64,-1677/512) (-645/289,-11901/4913) (-645/289,22866/4913) (592/441,11873/9261) (592/441,-24305/9261) (19533/1849,2279145/79507) (19533/1849,-3119064/79507) (65835/5476,14324523/405224) (65835/5476,-19196313/405224) (-2283936/1092025,5385303273/1141166125) (-2283936/1092025,-2998590153/1141166125) # # a-invariants: (1, 1, 1, -66, -241) # Cremona label: 310a1 # (9,-5) # # a-invariants: (1, 1, 1, -1066, -13841) # Cremona label: 310a2 # (-77/4,73/8) # # a-invariants: (1, 0, 0, -106, 420) # Cremona label: 310b1 # (8,6) (8,-14) (4,6) (-12,6) (4,-10) (20,-90) (-2,-24) (28,126) (6,0) (20,70) (28,-154) (52/9,-158/27) (52/9,2/27) (6,-6) (-4,-26) (-2,26) (-4,30) (184/25,-1362/125) (184/25,442/125) (436/49,3338/343) (-104/9,-158/27) (708,-19194) (-104/9,470/27) (708,18486) (53/16,-771/64) (53/16,559/64) (548/121,5186/1331) (436/49,-6390/343) (548/121,-11214/1331) (85372/13689,-10358362/1601613) (85372/13689,369838/1601613) (28222/1849,-4514968/79507) (12374/289,1238810/4913) (-1324/5041,7621194/357911) (12374/289,-1449168/4913) (28222/1849,3301422/79507) (-1324/5041,-7527190/357911) (12321796/5085025,-167239346534/11466731375) (5590489/1132096,2811469095/1204550144) (5590489/1132096,-8759749391/1204550144) (12321796/5085025,139453696554/11466731375) # # a-invariants: (1, 0, 0, -1706, 26980) # Cremona label: 310b2 # (16,-70) (24,-14) (95/4,-95/8) (24,-10) (16,54) (-46,116) (36,-130) (586/25,-1806/125) (-46,-70) (1156/49,-3550/343) (586/25,-1124/125) (36,94) (214/9,-322/27) (30,40) (214/9,-320/27) (30,-70) (1156/49,-4542/343) (28219/1444,1364325/54872) (72264/3025,-1811698/166375) (18981/784,-182533/21952) (72264/3025,-2162822/166375) (16480/1681,-7638650/68921) (18981/784,-348935/21952) (6376/9,498802/27) (16480/1681,6962970/68921) (6376/9,-517930/27) (28219/1444,-2436647/54872) (251668734/9320809,-1180757019752/28456429877) (251668734/9320809,412412374850/28456429877) # # a-invariants: (1, 0, 0, 454, 1876) # Cremona label: 310b3 # (-4,2) (246,-3998) (246,3752) (-2,-30) (-2,32) (60,466) (61/16,-3997/64) (61/16,3753/64) (60,-526) (14,-112) (14,98) (214/9,-4696/27) (214/9,4054/27) (28636/841,-6243222/24389) (28636/841,5412778/24389) (585/64,39913/512) (585/64,-44593/512) (51022/529,11242320/12167) (51022/529,-12415826/12167) (-36356/11025,-19616638/1157625) (-36356/11025,23434018/1157625) (1370381/1936,-1635375257/85184) (1370381/1936,1575078493/85184) (-31879455/475588864,-445218957582473/10371641946112) (-31879455/475588864,445914184737113/10371641946112) # # a-invariants: (1, 0, 0, -2046, 15376) # Cremona label: 310b4 # (31/4,-31/8) (0,124) (0,-124) (248,3720) (248,-3968) (-93/4,-1705/8) (1085/16,-30039/64) (1085/16,25699/64) (-93/4,1891/8) (376/9,-2104/27) (-57536/1225,-2925532/42875) (376/9,976/27) (-57536/1225,4939292/42875) (2539985/53824,-2248065843/12487168) (-348657/8836,171910283/830584) (2539985/53824,1658789323/12487168) (-348657/8836,-139136525/830584) (15123442909/21344400,-1891352300751313/98611128000) (15123442909/21344400,1821481994511733/98611128000) # # a-invariants: (0, 1, 0, -3, -6) # Cremona label: 312a1 # (2,0) # # a-invariants: (0, 1, 0, -68, -240) # Cremona label: 312a2 # (-5,0) # # a-invariants: (0, -1, 0, -3, 0) # Cremona label: 312b1 # (0,0) (-1,-1) (-1,1) (3,3) (3,-3) (4,-6) (-3/4,9/8) (4,6) (-3/4,-9/8) (-1/25,-43/125) (75,-645) (-1/25,43/125) (75,645) (-432/361,4572/6859) (361/144,-2413/1728) (-432/361,-4572/6859) (361/144,2413/1728) (30603/5041,4648323/357911) (30603/5041,-4648323/357911) (-138675/879844,-549971505/825293672) (-138675/879844,549971505/825293672) (879844/46225,799803522/9938375) (879844/46225,-799803522/9938375) # # a-invariants: (0, -1, 0, 12, -12) # Cremona label: 312b2 # (1,0) (2,4) (14,-52) (14,52) (2,-4) (61/9,494/27) (13/4,-57/8) (61/9,-494/27) (13/4,57/8) (2174/1849,-121940/79507) (2174/1849,121940/79507) (1874/25,-80668/125) (1874/25,80668/125) (68113/51984,-24451183/11852352) (68113/51984,24451183/11852352) (903848414/235346281,-31471421425132/3610447296821) (903848414/235346281,31471421425132/3610447296821) (767715212461/40670788900,-665538608605917159/8202077997463000) (767715212461/40670788900,665538608605917159/8202077997463000) # # a-invariants: (0, 1, 0, -7, 2) # Cremona label: 312c1 # (-1,3) (2,0) (-1,-3) # # a-invariants: (0, 1, 0, -52, -160) # Cremona label: 312c2 # (8,0) (-4,0) (-5,0) # # a-invariants: (0, 1, 0, -832, -9520) # Cremona label: 312c3 # (-17,0) # # a-invariants: (0, 1, 0, 8, -448) # Cremona label: 312c4 # (7,0) # # a-invariants: (0, -1, 0, -39, 108) # Cremona label: 312d1 # (3,-3) (4,0) (3,3) # # a-invariants: (0, -1, 0, -44, 84) # Cremona label: 312d2 # (2,0) (-7,0) (6,0) # # a-invariants: (0, -1, 0, -304, -1892) # Cremona label: 312d3 # (-11,0) # # a-invariants: (0, -1, 0, 136, 444) # Cremona label: 312d4 # (10,-52) (-3,0) (10,52) # # a-invariants: (0, -1, 0, -651, 6228) # Cremona label: 312e1 # (12,0) # # a-invariants: (0, -1, 0, 564, 25668) # Cremona label: 312e2 # (-23,0) # # a-invariants: (0, 1, 0, 5, 14) # Cremona label: 312f1 # (-2,0) (-1,-3) (-1,3) (11,39) (11,-39) (5/4,39/8) (2,6) (5/4,-39/8) (2,-6) (-5/9,91/27) (7,-21) (7,21) (-5/9,-91/27) (-31/16,-57/64) (-31/16,57/64) (206,2964) (206,-2964) (479/25,-10833/125) (-733/529,-30615/12167) (-733/529,30615/12167) (479/25,10833/125) (3421/1156,-313131/39304) (274/441,38998/9261) (3421/1156,313131/39304) (274/441,-38998/9261) (-1297/20449,-10818237/2924207) (-1297/20449,10818237/2924207) (1183673/23104,1301585613/3511808) (1183673/23104,-1301585613/3511808) (-3944871511223/2682768823056,10426782648849121421/4394149979584591296) (-3944871511223/2682768823056,-10426782648849121421/4394149979584591296) # # a-invariants: (0, 1, 0, -60, 144) # Cremona label: 312f2 # (3,0) (6,6) (-6,-18) (-6,18) (6,-6) (0,-12) (12,36) (0,12) (12,-36) (30,162) (30,-162) (2,6) (2,-6) (-9,6) (21/4,-9/8) (21/4,9/8) (-9,-6) (78,-690) (66/25,414/125) (78,690) (66/25,-414/125) (76/9,476/27) (76/9,-476/27) (-96/49,5508/343) (-96/49,-5508/343) (-582/169,39402/2197) (870/121,15522/1331) (870/121,-15522/1331) (-582/169,-39402/2197) (1035/361,13308/6859) (3297/16,189639/64) (1035/361,-13308/6859) (3297/16,-189639/64) (-6886/841,-302058/24389) (-6886/841,302058/24389) (261516/13225,-127978236/1520875) (261516/13225,127978236/1520875) (2844997/509796,-1367128799/363994344) (-9817665/1315609,-22977775926/1509003523) (-9817665/1315609,22977775926/1509003523) (2844997/509796,1367128799/363994344) # # a-invariants: (1, -1, 0, 13, -11) # Cremona label: 314a1 # (6,13) (6,-19) (1,-2) (1,1) (54/25,473/125) (54/25,-743/125) (199/9,2497/27) (199/9,-3094/27) (23286/841,-3872063/24389) (23286/841,3196769/24389) (86419/36100,-45489533/6859000) (86419/36100,29069923/6859000) (18926886/20151121,-148636769083/90458382169) (18926886/20151121,63673977829/90458382169) # # a-invariants: (0, 0, 1, -12, -18) # Cremona label: 315a1 # # # a-invariants: (0, 0, 1, 78, 45) # Cremona label: 315a2 # (3,-18) (3,17) # # a-invariants: (0, 0, 1, -1182, 16362) # Cremona label: 315a3 # (12,-63) (12,62) # # a-invariants: (1, -1, 1, -23, -34) # Cremona label: 315b1 # (-3,1) (-2,1) (-2,0) (6,1) (6,-8) (-183/64,-55/512) (-183/64,1007/512) (61,-503) (61,441) (-8882/3969,474832/250047) (26646/3025,-4115609/166375) (-8882/3969,-165313/250047) (26646/3025,2483704/166375) (-42090483/16703569,152771905495/68267486503) (-42090483/16703569,-49015587977/68267486503) (14030161/891136,41492075183/841232384) (14030161/891136,-55577779551/841232384) # # a-invariants: (1, -1, 1, -68, 182) # Cremona label: 315b2 # (27/4,-31/8) (3,-2) (-9,4) (0,-14) (18,58) (-2,-17) (-2,18) (18,-77) (12,25) (0,13) (12,-38) (45/16,-311/64) (7,0) (-33/4,119/8) (45/16,67/64) (243,-3902) (-33/4,-61/8) (7,-8) (243,3658) (118/81,5842/729) (-216/49,-6098/343) (804/25,-23902/125) (804/25,19757/125) (-216/49,7267/343) (118/81,-7633/729) (1098/121,-27967/1331) (1098/121,14558/1331) (-28305/4489,-4643852/300763) (-28305/4489,6239524/300763) (109107/13924,8190031/1643032) (8283/3721,1056958/226981) (109107/13924,-22707689/1643032) (8283/3721,-1789202/226981) (3913/64,-257041/512) (3913/64,225225/512) (748440/312481,-1253510978/174676879) (748440/312481,660456139/174676879) (3001332/395641,-3052808350/248858189) (3001332/395641,916112333/248858189) (114908599/12006225,-991697079248/41601569625) (114908599/12006225,551937214088/41601569625) (241500872679073/14885151664384,2733897362189253794729/57428820420606513152) (241500872679073/14885151664384,-3723067461517426863225/57428820420606513152) # # a-invariants: (1, -1, 1, -1013, 12656) # Cremona label: 315b3 # (75/4,-79/8) (0,112) (18,-14) (0,-113) (18,-5) (25,37) (21,-29) (21,7) (25,-63) (900/49,-2759/343) (-18,-149) (-18,166) (900/49,-3884/343) (975/4,-31129/8) (301/16,-701/64) (975/4,29171/8) (301/16,-567/64) (31500/1849,202909/79507) (31500/1849,-1636916/79507) (1782/169,109030/2197) (1782/169,-134393/2197) (45021/1225,5842901/42875) (45021/1225,-7461511/42875) (191425/9801,-3427937/970299) (191425/9801,-16493437/970299) (6413418/346921,-1918097321/204336469) (6413418/346921,-2063742350/204336469) (987620475/51811204,-4909346325821/372937046392) (987620475/51811204,-2572482899621/372937046392) (18339601/287296,64745731827/153990656) (18339601/287296,-74729748619/153990656) (2346645432621/123630295321,-542774203170115903/43469771768112131) (2346645432621/123630295321,-325801915807298659/43469771768112131) # # a-invariants: (1, -1, 1, 157, 992) # Cremona label: 315b4 # (-21/4,17/8) (0,31) (42,-305) (42,262) (0,-32) (15,-89) (7,-53) (7,45) (15,73) (126,-1481) (126,1354) (-84/25,-2404/125) (-84/25,2699/125) (-17/4,-109/8) (3885/16,234307/64) (3885/16,-249911/64) (-17/4,135/8) (5670/289,-573961/4913) (5670/289,472658/4913) (6468/1369,-2308940/50653) (6468/1369,2018971/50653) (9879/5929,-16796053/456533) (61999/2025,15315353/91125) (61999/2025,-18196433/91125) (9879/5929,15578837/456533) (14375953/238144,-59027066101/116214272) (14375953/238144,51895386765/116214272) (-91852005/62504836,13703322357253/494163233416) (-91852005/62504836,-13471303639139/494163233416) # # a-invariants: (0, -1, 0, -180, -872) # Cremona label: 316a1 # # # a-invariants: (0, 0, 0, -7, -2) # Cremona label: 316b1 # (-1,2) (-1,-2) (3,-2) (3,2) (-2,2) (-2,-2) (19,-82) (19,82) (-9/25,-86/125) (-9/25,86/125) (89/16,-733/64) (89/16,733/64) (-1097/441,-1322/9261) (-1097/441,1322/9261) (8483/1681,-658142/68921) (8483/1681,658142/68921) (-5826/14641,1505782/1771561) (-5826/14641,-1505782/1771561) (1100371/46225,1147035794/9938375) (1100371/46225,-1147035794/9938375) # # a-invariants: (1, 1, 1, 2, -7) # Cremona label: 318a1 # # # a-invariants: (1, 0, 1, -61, 176) # Cremona label: 318b1 # (4,-1) (4,-4) # # a-invariants: (1, 0, 1, 44, 722) # Cremona label: 318b2 # # # a-invariants: (1, 1, 0, 7, -9) # Cremona label: 318c1 # (5,-16) (5,11) (1,-1) (1,0) (53/16,-619/64) (53/16,407/64) (153,-1977) (153,1824) (10949/1369,-1482505/50653) (10949/1369,1077392/50653) (26905/23104,-7514577/3511808) (26905/23104,3425017/3511808) # # a-invariants: (1, 1, 1, -12, 45) # Cremona label: 318d1 # (1,5) (1,-7) (-3,-7) (-3,9) (13,-55) (13,41) (5,-15) (5,9) (-5,5) (-5,-1) (3,5) (3,-9) (37,209) (37,-247) (-11/9,-205/27) (-11/9,211/27) (-11/25,853/125) (-11/25,-923/125) (81,-775) (81,693) (37/16,287/64) (37/16,-499/64) (-223/49,2463/343) (-223/49,-1245/343) (1885/289,-103703/4913) (1885/289,66745/4913) (3285/361,159075/6859) (3285/361,-228349/6859) (-7043/1849,-461245/79507) (-7043/1849,684587/79507) (2467/1521,-424429/59319) (2467/1521,268897/59319) (43411/121,8820733/1331) (43411/121,-9299585/1331) (11829/34225,-45031887/6331625) (11829/34225,36511897/6331625) (1008949029/3644174689,1288340865459135/219987893450863) (1008949029/3644174689,-1569235984943641/219987893450863) # # a-invariants: (1, 1, 0, 142, 180) # Cremona label: 318e1 # # # a-invariants: (0, 0, 1, -37, -87) # Cremona label: 319a1 # # # a-invariants: (0, 0, 0, -8, -8) # Cremona label: 320a1 # (-2,0) # # a-invariants: (0, 0, 0, -28, 48) # Cremona label: 320a2 # (2,0) (-6,0) (4,0) # # a-invariants: (0, 0, 0, -428, 3408) # Cremona label: 320a3 # (12,0) # # a-invariants: (0, 0, 0, 52, 272) # Cremona label: 320a4 # (-4,0) # # a-invariants: (0, 0, 0, -8, 8) # Cremona label: 320b1 # (2,0) (1,-1) (-2,-4) (-2,4) (1,1) (34/9,152/27) (17/4,-57/8) (17/4,57/8) (34/9,-152/27) (574/625,18668/15625) (-287/169,8975/2197) (-287/169,-8975/2197) (574/625,-18668/15625) (208514/289,95213712/4913) (208514/289,-95213712/4913) (104257/51984,1774817/11852352) (104257/51984,-1774817/11852352) # # a-invariants: (0, 0, 0, -28, -48) # Cremona label: 320b2 # (-2,0) (6,0) (-4,0) (-26/9,80/27) (16,60) (-3,3) (14,-48) (14,48) (-26/9,-80/27) (16,-60) (-3,-3) (-1154/289,1824/4913) (-724/361,-2040/6859) (217/36,323/216) (2886,155040) (217/36,-323/216) (-724/361,2040/6859) (-1154/289,-1824/4913) (2886,-155040) (-293619/105625,99220779/34328125) (1525262/82369,-1797728400/23639903) (-293619/105625,-99220779/34328125) (1525262/82369,1797728400/23639903) (10839475297/15023376,-1128497710174703/58230605376) (10839475297/15023376,1128497710174703/58230605376) # # a-invariants: (0, 0, 0, -428, -3408) # Cremona label: 320b3 # (-12,0) (-107/9,-1/27) (24,-12) (24,12) (-107/9,1/27) (-1251804/104329,2488296/33698267) (103897/36,33488317/216) (-1251804/104329,-2488296/33698267) (103897/36,-33488317/216) # # a-invariants: (0, 0, 0, 52, -272) # Cremona label: 320b4 # (4,0) (54,400) (6,16) (54,-400) (6,-16) (13,-51) (13,51) (136/9,-1700/27) (136/9,1700/27) (3558/49,213200/343) (9174/1681,910000/68921) (9174/1681,-910000/68921) (3558/49,-213200/343) (1041844/361,-1063421400/6859) (41977/10404,-1980883/1061208) (1041844/361,1063421400/6859) (41977/10404,1980883/1061208) (154321146589/8700225625,-64058214822394437/811513545171875) (154321146589/8700225625,64058214822394437/811513545171875) # # a-invariants: (0, -1, 0, -5, 5) # Cremona label: 320c1 # (1,0) # # a-invariants: (0, -1, 0, 15, 17) # Cremona label: 320c2 # (-1,0) # # a-invariants: (0, -1, 0, -165, -763) # Cremona label: 320c3 # (-7,0) # # a-invariants: (0, -1, 0, -145, -975) # Cremona label: 320c4 # (15,0) # # a-invariants: (0, -1, 0, 0, 2) # Cremona label: 320d1 # (-1,0) # # a-invariants: (0, -1, 0, -25, 57) # Cremona label: 320d2 # (3,0) # # a-invariants: (0, 1, 0, 0, -2) # Cremona label: 320e1 # (1,0) # # a-invariants: (0, 1, 0, -25, -57) # Cremona label: 320e2 # (-3,0) # # a-invariants: (0, 1, 0, -5, -5) # Cremona label: 320f1 # (-1,0) (-2,1) (3,-4) (3,4) (-2,-1) (-41/25,-152/125) (-41/25,152/125) (21/4,95/8) (21/4,-95/8) (3283/81,-190124/729) (3283/81,190124/729) (-922/841,-14751/24389) (-922/841,14751/24389) (330321/144400,48008831/54872000) (-1052321/474721,105912080/327082769) (330321/144400,-48008831/54872000) (-1052321/474721,-105912080/327082769) (1692451443/130667761,-71179263757876/1493663175991) (1692451443/130667761,71179263757876/1493663175991) # # a-invariants: (0, 1, 0, 15, -17) # Cremona label: 320f2 # (1,0) (11,-40) (11,40) (3,8) (3,-8) (2,5) (21,-100) (21,100) (2,-5) (91/81,1160/729) (163,2088) (163,-2088) (91/81,-1160/729) (2361/361,-137800/6859) (2361/361,137800/6859) (461/100,13091/1000) (461/100,-13091/1000) (264251/5041,137487560/357911) (36003/25921,-12126232/4173281) (36003/25921,12126232/4173281) (264251/5041,-137487560/357911) (2754442/68121,-4647687715/17779581) (2754442/68121,4647687715/17779581) (73404875441/68549712400,21514469033693039/17947685700568000) (73404875441/68549712400,-21514469033693039/17947685700568000) # # a-invariants: (0, 1, 0, -165, 763) # Cremona label: 320f3 # (7,0) (11,20) (6,-5) (11,-20) (6,5) (-9,-40) (-9,40) (29/4,-5/8) (29/4,5/8) (67/9,-44/27) (-2,-33) (-2,33) (67/9,44/27) (1119/169,-4720/2197) (1119/169,4720/2197) (281/16,3835/64) (281/16,-3835/64) (9534/1369,-20965/50653) (9534/1369,20965/50653) (5819/49,-443260/343) (5819/49,443260/343) (33151/7225,6826776/614125) (33151/7225,-6826776/614125) (37717/4356,2198015/287496) (37717/4356,-2198015/287496) (15251819/2122849,-410148940/3092990993) (15251819/2122849,410148940/3092990993) (298564361/37650496,927203988485/231023443456) (298564361/37650496,-927203988485/231023443456) (10384939987/251761689,1025037790614244/3994702719363) (10384939987/251761689,-1025037790614244/3994702719363) # # a-invariants: (0, 1, 0, -145, 975) # Cremona label: 320f4 # (-15,0) (35,200) (-5,40) (35,-200) (-5,-40) (5,-20) (10,25) (10,-25) (5,20) (3,-24) (3,24) (115/9,-1000/27) (115/9,1000/27) (-35/4,-325/8) (65,-520) (-35/4,325/8) (65,520) (-685/49,7400/343) (475,-10360) (475,10360) (-685/49,-7400/343) (2685/121,127500/1331) (-14/9,-935/27) (-14/9,935/27) (2685/121,-127500/1331) (14915/2209,-1940600/103823) (7675/961,-588440/29791) (14915/2209,1940600/103823) (7675/961,588440/29791) (46465/2704,-8727575/140608) (46465/2704,8727575/140608) (1865/3481,-6153680/205379) (1865/3481,6153680/205379) (-1826285/149769,1903589000/57960603) (274323/1681,143744184/68921) (-1826285/149769,-1903589000/57960603) (274323/1681,-143744184/68921) (7963810/67081,-22459639775/17373979) (7963810/67081,22459639775/17373979) (196606381/31472100,-3312526754771/176558481000) (196606381/31472100,3312526754771/176558481000) # # a-invariants: (1, -1, 0, -8, 44) # Cremona label: 322a1 # (-4,2) (19,71) (-2,-6) (-2,8) (19,-90) (5,-13) (10/9,146/27) (10/9,-176/27) (5,8) (7/4,-53/8) (7/4,39/8) (4,6) (4,-10) (-11/9,209/27) (314/25,4528/125) (-11/9,-176/27) (314/25,-6098/125) (-653/169,-1149/2197) (334,5930) (334,-6264) (-653/169,9638/2197) (2620/81,-143902/729) (-175/64,-2531/512) (2620/81,120322/729) (-175/64,3931/512) (14062/2209,-1872648/103823) (14062/2209,1211734/103823) (87349/27225,-36881312/4492125) (87349/27225,22468727/4492125) (2954599/329476,3910527825/189119224) (2954599/329476,-5606467651/189119224) (63502085/758641,475838142632/660776311) (63502085/758641,-531148458667/660776311) # # a-invariants: (1, -1, 0, -238, 1470) # Cremona label: 322a2 # (35/4,-35/8) (7,-14) (7,7) (21,-84) (21,63) (91/9,-259/27) (91/9,-14/27) (-7,-49) (-7,56) (-203/16,3493/64) (39/4,-57/8) (39/4,-21/8) (-203/16,-2681/64) (665/121,-26915/1331) (665/121,19600/1331) (3451/225,93506/3375) (3451/225,-145271/3375) (38983/4489,-934787/300763) (56469/169,-13756764/2197) (38983/4489,-1677074/300763) (56469/169,13022667/2197) (174241/5184,-71558621/373248) (174241/5184,59013269/373248) (-7163513/4239481,-369615445682/8729091379) (-7163513/4239481,384365118949/8729091379) # # a-invariants: (1, 1, 0, 35, 381) # Cremona label: 322b1 # (-6,3) # # a-invariants: (1, 1, 0, -605, 5117) # Cremona label: 322b2 # (43/4,-43/8) # # a-invariants: (1, 1, 1, -4, 1) # Cremona label: 322c1 # (1,-1) # # a-invariants: (1, 1, 1, -14, -23) # Cremona label: 322c2 # (-13/4,9/8) # # a-invariants: (1, 0, 0, -14, 4) # Cremona label: 322d1 # (-4,2) (4,-6) (0,2) (0,-2) (4,2) (-2,-4) (12,34) (-2,6) (12,-46) (14,-58) (14,44) (-20/9,-106/27) (-20/9,166/27) (4/49,566/343) (96/25,166/125) (4/49,-594/343) (96/25,-646/125) (2044,-93438) (-255/64,1381/512) (2044,91394) (-255/64,659/512) (10912/2601,-921386/132651) (10912/2601,364874/132651) (-207060/116281,-159257222/39651821) (-207060/116281,229864682/39651821) (17075916/1030225,-77983087106/1045678375) (17075916/1030225,60651032366/1045678375) (17046158337/33362176,2176817883847319/192699928576) (17046158337/33362176,-2275276494401831/192699928576) # # a-invariants: (1, 0, 0, -174, 868) # Cremona label: 322d2 # (31/4,-31/8) (6,4) (2,-24) (2,22) (6,-10) (48,-346) (48,298) (8,-2) (8,-6) (-8,46) (64/9,-50/27) (64/9,-142/27) (-8,-38) (14,-42) (234/25,-1712/125) (14,28) (234/25,542/125) (117/16,-241/64) (117/16,-227/64) (-61/4,15/8) (-61/4,107/8) (142/9,-1454/27) (2602/289,13142/4913) (142/9,1028/27) (2602/289,-57376/4913) (-744/121,59210/1331) (6752/961,-40394/29791) (6752/961,-168918/29791) (-744/121,-51026/1331) (9704/1225,-103062/42875) (55824/841,-13781218/24389) (9704/1225,-236578/42875) (55824/841,12162322/24389) (40258/13689,29025118/1601613) (40258/13689,-33735304/1601613) (4042527/521284,-1543761971/376367048) (4042527/521284,-1374942523/376367048) (130817/64,-47839899/512) (130817/64,46793363/512) (9332742/1485961,4682682428/1811386459) (9332742/1485961,-16059294926/1811386459) # # a-invariants: (0, 0, 1, -46, 277) # Cremona label: 323a1 # # # a-invariants: (0, 0, 0, -21, 37) # Cremona label: 324a1 # (3,1) (3,-1) # # a-invariants: (0, 0, 0, -81, -243) # Cremona label: 324a2 # # # a-invariants: (0, 0, 0, 9, -18) # Cremona label: 324b1 # (3,-6) (3,6) # # a-invariants: (0, 0, 0, -351, -2538) # Cremona label: 324b2 # # # a-invariants: (0, 0, 0, -9, 9) # Cremona label: 324c1 # (3,3) (3,-3) (-3,-3) (-3,3) (0,3) (1,-1) (0,-3) (1,1) (7,-17) (7,17) (9/4,3/8) (15,57) (9/4,-3/8) (15,-57) (-8/9,-109/27) (57/49,111/343) (57/49,-111/343) (-51/25,-543/125) (-8/9,109/27) (-51/25,543/125) (1017/16,-32397/64) (715/289,6731/4913) (715/289,-6731/4913) (1017/16,32397/64) (1491/361,44601/6859) (1491/361,-44601/6859) (13209/20449,-5436183/2924207) (-17195/5041,-38413/357911) (-17195/5041,38413/357911) (13209/20449,5436183/2924207) (3752463/67081,-7258725627/17373979) (3752463/67081,7258725627/17373979) # # a-invariants: (0, 0, 0, -189, -999) # Cremona label: 324c2 # (-8,1) (-8,-1) (73/4,323/8) (73/4,-323/8) (-85616/11025,-729973/1157625) (-85616/11025,729973/1157625) (107111233/1669264,-1080653521823/2156689088) (107111233/1669264,1080653521823/2156689088) # # a-invariants: (0, 0, 0, -39, 94) # Cremona label: 324d1 # (3,-2) (3,2) # # a-invariants: (0, 0, 0, 81, 486) # Cremona label: 324d2 # # # a-invariants: (0, 1, 1, -83, 244) # Cremona label: 325a1 # (8,-13) (8,12) (2,9) (22/9,-226/27) (-43/4,-29/8) (22/9,199/27) (2,-10) (-43/4,21/8) (2684/361,62864/6859) (24353/16,3801543/64) (2684/361,-69723/6859) (22708/2601,-2210563/132651) (22708/2601,2077912/132651) (24353/16,-3801607/64) (96452942/65723449,-6288859320234/532820001043) (96452942/65723449,5756039319191/532820001043) (61411626561728/6346131837409,327694141205011225828/15986877056604394577) (61411626561728/6346131837409,-343681018261615620405/15986877056604394577) # # a-invariants: (0, 1, 1, -1333, -19131) # Cremona label: 325a2 # (-21,6) (-21,-7) (57,305) (57,-306) (-803/36,215/216) (-803/36,-431/216) (176301/2209,-64824366/103823) (176301/2209,64720543/103823) (22869001969/15023376,-3458525869046447/58230605376) (22869001969/15023376,3458467638441071/58230605376) # # a-invariants: (0, -1, 1, -3, 3) # Cremona label: 325b1 # (1,-1) (1,0) (3,-4) (3,3) (-3/4,13/8) (-3/4,-21/8) (79/49,-195/343) (79/49,-148/343) (-251/225,5032/3375) (-251/225,-8407/3375) (11569/4624,-870495/314432) (11569/4624,556063/314432) (14032503/108241,-52375739261/35611289) (14032503/108241,52340127972/35611289) # # a-invariants: (0, -1, 1, -53, -132) # Cremona label: 325b2 # (-4,0) (-4,-1) (18,-67) (18,66) (-1803/484,-1737/10648) (-1803/484,-8911/10648) (160574/17689,15911918/2352637) (160574/17689,-18264555/2352637) # # a-invariants: (1, 1, 0, -25, 0) # Cremona label: 325c1 # (0,0) # # a-invariants: (1, 1, 0, 100, 125) # Cremona label: 325c2 # (-5/4,5/8) # # a-invariants: (0, 1, 1, -508, -4581) # Cremona label: 325d1 # # # a-invariants: (0, 1, 1, -2458, 42369) # Cremona label: 325d2 # # # a-invariants: (0, -1, 1, -98, 378) # Cremona label: 325e1 # (21,84) (21,-85) (8,-7) (8,6) # # a-invariants: (0, -1, 1, -12708, -547182) # Cremona label: 325e2 # # # a-invariants: (1, -1, 0, -80, -256) # Cremona label: 326a1 # (-5,3) (-5,2) (17,-64) (17,47) (-2309/484,24507/10648) (-2309/484,26291/10648) (170209/12321,-55462768/1367631) (170209/12321,36569569/1367631) # # a-invariants: (1, 0, 0, -6, 4) # Cremona label: 326b1 # (0,2) (0,-2) (2,0) (2,-2) (-2,-2) (-2,4) (8,-26) (8,18) (3/4,-5/8) (3/4,-1/8) (40/9,-286/27) (40/9,166/27) (-66/25,-58/125) (-66/25,388/125) (290/121,-4518/1331) (290/121,1328/1331) (352/841,-36010/24389) (352/841,25802/24389) (3857/64,224411/512) (3857/64,-255267/512) (-10848/17689,-5739994/2352637) (-10848/17689,7182778/2352637) # # a-invariants: (1, 0, 1, -355, 1182) # Cremona label: 326c1 # (24,-94) (24,69) # # a-invariants: (1, 0, 1, -14210, -653100) # Cremona label: 326c2 # # # a-invariants: (1, 0, 1, -300, 1970) # Cremona label: 326c3 # (10,-5) (10,-6) # # a-invariants: (1, 0, 0, 4, -3) # Cremona label: 327a1 # (1,-2) (1,1) (4,-11) (4,7) (7,-23) (7,16) (3/4,-9/8) (3/4,3/8) (79,-743) (79,664) (244/169,3931/2197) (244/169,-7103/2197) (1561/625,57241/15625) (1561/625,-96266/15625) (8401/576,-884173/13824) (8401/576,682549/13824) (4322452/219961,8074341043/103161709) (4322452/219961,-10101571031/103161709) # # a-invariants: (0, 0, 0, -11, -10) # Cremona label: 328a1 # (-1,0) (-2,-2) (7,-16) (-2,2) (7,16) (-209/81,800/729) (65/16,-225/64) (-209/81,-800/729) (65/16,225/64) (73063/2209,-19646768/103823) (73063/2209,19646768/103823) (70874881/3240000,589489489279/5832000000) (70874881/3240000,-589489489279/5832000000) # # a-invariants: (0, 0, 0, 29, -66) # Cremona label: 328a2 # (2,0) (6,18) (49/4,369/8) (49/4,-369/8) (6,-18) (3217/1296,215225/46656) (3217/1296,-215225/46656) (54386/625,-12706884/15625) (54386/625,12706884/15625) # # a-invariants: (0, -1, 0, -12, 20) # Cremona label: 328b1 # (2,0) # # a-invariants: (0, -1, 0, 8, 60) # Cremona label: 328b2 # (-3,0) # # a-invariants: (1, 1, 1, 246, -1376) # Cremona label: 329a1 # # # a-invariants: (1, 1, 0, -1393, -20603) # Cremona label: 330a1 # (-22,11) # # a-invariants: (1, 1, 0, -1413, -20007) # Cremona label: 330a2 # (-18,9) (171/4,-171/8) (-26,13) # # a-invariants: (1, 1, 0, -4163, 77343) # Cremona label: 330a3 # (203/4,-203/8) # # a-invariants: (1, 1, 0, 1017, -78813) # Cremona label: 330a4 # (139/4,-139/8) # # a-invariants: (1, 0, 0, 5, 17) # Cremona label: 330b1 # (2,5) (-2,1) (2,-7) # # a-invariants: (1, 0, 0, -75, 225) # Cremona label: 330b2 # (0,15) (6,-3) (12,27) (0,-15) (15/4,-15/8) (12,-39) (-10,5) # # a-invariants: (1, 0, 0, -255, -1323) # Cremona label: 330b3 # (-6,3) (-49/4,49/8) (18,-9) # # a-invariants: (1, 0, 0, -1175, 15405) # Cremona label: 330b4 # (22,7) (79/4,-79/8) (22,-29) # # a-invariants: (1, 0, 0, -3885, -93525) # Cremona label: 330b5 # (-145/4,145/8) # # a-invariants: (1, 0, 0, 495, -7473) # Cremona label: 330b6 # (47/4,-47/8) # # a-invariants: (1, 1, 1, 255, 255) # Cremona label: 330c1 # (-1,0) (15,80) (15,-96) # # a-invariants: (1, 1, 1, -1025, 767) # Cremona label: 330c2 # (75,556) (31,-16) (75,-632) (-33,16) (-13,-104) (-13,116) (3/4,-7/8) # # a-invariants: (1, 1, 1, -10705, -429025) # Cremona label: 330c3 # (-253/4,249/8) (119,-60) (-57,28) # # a-invariants: (1, 1, 1, -11825, 488927) # Cremona label: 330c4 # (95,-532) (259/4,-263/8) (95,436) # # a-invariants: (1, 1, 1, -171085, -27308713) # Cremona label: 330c5 # (-957/4,953/8) # # a-invariants: (1, 1, 1, -5205, -862425) # Cremona label: 330c6 # (451/4,-455/8) # # a-invariants: (1, 1, 1, -40266, 2921559) # Cremona label: 330d1 # (9,-1605) (137,-69) (9,1595) # # a-invariants: (1, 1, 1, -122186, -12872617) # Cremona label: 330d2 # (393,-197) (-119,59) (-1101/4,1097/8) # # a-invariants: (1, 1, 1, -1832906, -955821481) # Cremona label: 330d3 # (-3149/4,3145/8) # # a-invariants: (1, 1, 1, 277814, -79112617) # Cremona label: 330d4 # (947/4,-951/8) # # a-invariants: (1, 1, 0, -22, -44) # Cremona label: 330e1 # (-4,2) (12,34) (12,-46) (-3,-1) (-3,4) (-20/9,22/27) (5,-4) (5,-1) (-20/9,38/27) (828/49,-26578/343) (-207/64,-467/512) (-207/64,2123/512) (828/49,20782/343) (4189/9,-277756/27) (-16756/4225,344098/274625) (4189/9,265189/27) (-16756/4225,745042/274625) (-771027/277729,-134215028/146363183) (-771027/277729,540546257/146363183) (3084108/339889,-5778594802/198155287) (3084108/339889,3980559838/198155287) (90750185/17172736,-523538533699/71163817984) (90750185/17172736,147469767059/71163817984) (-363000740/159441129,530082895382/2013263135883) (-363000740/159441129,4053527448598/2013263135883) # # a-invariants: (1, 1, 0, -102, 324) # Cremona label: 330e2 # (27/4,-27/8) (-12,6) (4,-2) (8,6) (8,-14) (-7,31) (3,6) (48,-354) (48,306) (-7,-24) (3,-9) (0,-18) (13,31) (15,42) (-8/9,-538/27) (-8/9,562/27) (13,-44) (15,-57) (0,18) (-33/4,243/8) (53/16,-491/64) (-33/4,-177/8) (372/49,1338/343) (68,526) (53/16,279/64) (68,-594) (372/49,-3942/343) (61/9,-124/27) (672/169,-6618/2197) (61/9,-59/27) (-296/25,-118/125) (-296/25,1598/125) (672/169,-2118/2197) (1863,79506) (1863,-81369) (23952/2809,1278282/148877) (2513/961,-311504/29791) (4328/121,255506/1331) (23952/2809,-2547738/148877) (4328/121,-303114/1331) (-1653/289,-121497/4913) (2513/961,233601/29791) (-1653/289,149598/4913) (33412/42849,135573058/8869743) (-7020/3721,5360958/226981) (-7020/3721,-4932738/226981) (55393/3136,10128971/175616) (62835/5476,9342453/405224) (62835/5476,-13992243/405224) (33412/42849,-142489342/8869743) (55393/3136,-13230979/175616) (2210408/303601,-1578120214/167284151) (2210408/303601,360185406/167284151) (68517784/17547721,-296200749158/73507403269) (17699821/38025,72821990021/7414875) (17699821/38025,-76273455116/7414875) (68517784/17547721,9179751982/73507403269) (972070763053/94397032081,498006713551394276/29002638533598521) (972070763053/94397032081,-796666706862561049/29002638533598521) (19187757740970001/2738040415858944,48075185648784494188241/143271491355874871119872) (19187757740970001/2738040415858944,-1052099323277010165874529/143271491355874871119872) # # a-invariants: (1, 1, 0, -1602, 24024) # Cremona label: 330e3 # (20,-32) (20,12) (91/4,-91/8) (53,-329) (53,276) (-2,166) (202/9,-358/27) (-2,-164) (23,-14) (23,-9) (202/9,-248/27) (25,7) (-46,-32) (235/9,434/27) (566/25,-1404/125) (-46,78) (566/25,-1426/125) (25,-32) (235/9,-1139/27) (388/81,-95356/729) (11812/529,-99208/12167) (287/4,3983/8) (287/4,-4557/8) (17957/784,-214493/21952) (388/81,91864/729) (11812/529,-172468/12167) (17957/784,-288303/21952) (34609/1521,-685528/59319) (105110/5041,-9152502/357911) (105110/5041,1689692/357911) (65330/3481,4596458/205379) (46579/25,9937382/125) (65330/3481,-8450928/205379) (46579/25,-10170277/125) (34609/1521,-664223/59319) (1470407/34969,-1329319362/6539203) (62470277/2699449,-67733014923/4435194707) (62470277/2699449,-34905650188/4435194707) (1470407/34969,1054353253/6539203) (5691074515/234641124,3559659552379/3594232737432) (5691074515/234641124,-90735538973149/3594232737432) (324131305/11669056,-2300879816047/39861495296) (324131305/11669056,1193647278167/39861495296) # # a-invariants: (1, 1, 0, 118, 1776) # Cremona label: 330e4 # (-37/4,37/8) (22,-136) (22,114) (2,44) (2,-46) (-3,-36) (47,314) (-3,39) (47,-361) (272,4364) (-8,24) (-8,-16) (272,-4636) (11,62) (11,-73) (73/9,-1672/27) (73/9,1453/27) (-838/121,39484/1331) (-838/121,-30266/1331) (142,1634) (142,-1776) (1077/16,-38379/64) (-913/196,-86759/2744) (-913/196,99541/2744) (1077/16,34071/64) (3502/841,-1235904/24389) (6122/361,593036/6859) (3502/841,1134346/24389) (6122/361,-709354/6859) (-2039/225,42521/3375) (-2039/225,-11936/3375) (314843/169,-178769917/2197) (314843/169,174676958/2197) (-968353/811801,30014766314/731432701) (-968353/811801,-29142280261/731432701) (3998157/116281,-9365377356/39651821) (3998157/116281,8002005819/39651821) (113862731/20376196,-4990880834207/91978148744) (1940816833/134374464,116765505351557/1557668786688) (1940816833/134374464,-139263454079693/1557668786688) (113862731/20376196,4476904466473/91978148744) (310527901030441/667252091025,-5607769819048067646704/545048206814226375) (310527901030441/667252091025,5354113550451846763649/545048206814226375) # # a-invariants: (1, 0, 0, -5, 4) # Cremona label: 331a1 # (1,-1) (1,0) (0,2) (0,-2) (5,-13) (5,8) (21/16,-19/64) (21/16,-65/64) (-59/25,-104/125) (-59/25,399/125) (736/441,-16990/9261) (736/441,1534/9261) (7345/3481,-625232/205379) (7345/3481,191877/205379) (-52815/33856,23140213/6229504) (-52815/33856,-13422253/6229504) # # a-invariants: (0, 0, 1, -30, -63) # Cremona label: 333a1 # (-3,0) (-3,-1) (15,-54) (15,53) (-1079/324,-5671/5832) (-1079/324,-161/5832) (183470190049/9836672400,74235313699107407/975601168632000) (183470190049/9836672400,-75210914867739407/975601168632000) # # a-invariants: (0, 0, 1, -210, 1134) # Cremona label: 333a2 # (12,-19) (12,18) (6,-10) (34/9,-550/27) (-63/4,181/8) (6,9) (-63/4,-189/8) (34/9,523/27) (65961/400,-16881291/8000) (76768/7569,-4876237/658503) (6072/361,329822/6859) (6072/361,-336681/6859) (76768/7569,4217734/658503) (65961/400,16873291/8000) (-149066567/15256836,-2858646846943/59593201416) (-149066567/15256836,2799053645527/59593201416) # # a-invariants: (0, 0, 1, -16860, 842625) # Cremona label: 333a3 # (75,-1) (75,0) (-351/4,-10269/8) (-351/4,10261/8) (33013/441,10261/9261) (33013/441,-19522/9261) (72033/961,-10269/29791) (72033/961,-19522/29791) # # a-invariants: (1, -1, 0, 12, 35) # Cremona label: 333b1 # (-2,1) (2,7) (19/4,-127/8) (2,-9) (19/4,89/8) (-391/256,-10677/4096) (6670/121,-578845/1331) (-391/256,16933/4096) (6670/121,505475/1331) (8698978/815409,22537014529/736314327) (8698978/815409,-30392191663/736314327) # # a-invariants: (1, -1, 0, -123, 494) # Cremona label: 333b2 # (19/4,-19/8) (14,-44) (-2,28) (-2,-26) (14,30) (35/4,9/8) (35/4,-79/8) (-695/64,13769/512) (-695/64,-8209/512) (19198/441,-2758316/9261) (5806/1849,-1035998/79507) (19198/441,2355158/9261) (5806/1849,786340/79507) (1722161/30976,2050762737/5451776) (1722161/30976,-2353863073/5451776) # # a-invariants: (1, -1, 1, 1, -2) # Cremona label: 333c1 # (1,-1) (4,-10) (4,5) (2,1) (2,-4) (29/25,-43/125) (79/4,-773/8) (29/25,-227/125) (79/4,607/8) (6364/5041,-54125/357911) (5482/441,-457484/9261) (6364/5041,-755630/357911) (5482/441,333101/9261) (4302281/846400,-10820952089/778688000) (5995081/3455881,-21333922739/6424482779) (5995081/3455881,3764584381/6424482779) (4302281/846400,6084165569/778688000) # # a-invariants: (1, -1, 1, -14, -14) # Cremona label: 333c2 # (-5/4,1/8) (8,-23) (-2,-1) (-2,2) (8,14) (5,2) (-59/25,-26/125) (-59/25,196/125) (5,-8) (442/9,-9871/27) (-68/49,386/343) (-68/49,-253/343) (442/9,8518/27) (-13355/8464,-806759/778688) (-13355/8464,1256731/778688) (1991/100,75059/1000) (1991/100,-95969/1000) (28218205/2223081,115537236352/3314613771) (28218205/2223081,-160925193778/3314613771) (17017350044561/2925057678400,27477814939052756251/5002667646213952000) (17017350044561/2925057678400,-61584916019478495331/5002667646213952000) # # a-invariants: (0, 0, 1, -9, -7) # Cremona label: 333d1 # # # a-invariants: (1, -1, 1, -1, -1) # Cremona label: 334a1 # # # a-invariants: (0, 0, 1, -2, 2) # Cremona label: 335a1 # (2,-3) (2,2) (0,-2) (0,1) (-7/4,-9/8) (-7/4,1/8) (4/9,-46/27) (4/9,19/27) (158/49,1686/343) (158/49,-2029/343) (585/16,-14171/64) (585/16,14107/64) (-20804/38025,9516131/7414875) (-20804/38025,-16931006/7414875) # # a-invariants: (0, -1, 0, 7, 0) # Cremona label: 336a1 # (0,0) # # a-invariants: (0, -1, 0, -28, 28) # Cremona label: 336a2 # (1,0) # # a-invariants: (0, -1, 0, -113, 516) # Cremona label: 336a3 # (-12,0) # # a-invariants: (0, -1, 0, -1828, 30700) # Cremona label: 336a4 # (25,0) # # a-invariants: (0, -1, 0, -7, 10) # Cremona label: 336b1 # (2,0) # # a-invariants: (0, -1, 0, -12, 0) # Cremona label: 336b2 # (0,0) (-3,0) (4,0) # # a-invariants: (0, -1, 0, -152, -672) # Cremona label: 336b3 # (-7,0) # # a-invariants: (0, -1, 0, 48, -48) # Cremona label: 336b4 # (1,0) (8,28) (8,-28) # # a-invariants: (0, 1, 0, -7, -52) # Cremona label: 336c1 # (4,0) # # a-invariants: (0, 1, 0, -252, -1620) # Cremona label: 336c2 # (-9,0) (18,0) (-10,0) # # a-invariants: (0, 1, 0, -4032, -99900) # Cremona label: 336c3 # (-37,0) # # a-invariants: (0, 1, 0, -392, 228) # Cremona label: 336c4 # (-8,54) (19,0) (-8,-54) # # a-invariants: (0, 1, 0, -64, -460) # Cremona label: 336d1 # (10,0) # # a-invariants: (0, 1, 0, -1344, -19404) # Cremona label: 336d2 # (-22,0) (-21,0) (42,0) # # a-invariants: (0, 1, 0, -21504, -1220940) # Cremona label: 336d3 # (-85,0) # # a-invariants: (0, 1, 0, -1664, -9804) # Cremona label: 336d4 # (106,-1008) (-38,0) (43,0) (-20,-126) (-20,126) (106,1008) (-6,0) # # a-invariants: (0, 1, 0, -14624, 669300) # Cremona label: 336d5 # (418,-8232) (82,-168) (418,8232) (124,-882) (82,168) (124,882) (75,0) # # a-invariants: (0, 1, 0, 6176, -69388) # Cremona label: 336d6 # (92,1134) (92,-1134) (11,0) # # a-invariants: (0, -1, 0, 16, 0) # Cremona label: 336e1 # (0,0) (8,24) (2,6) (8,-24) (2,-6) (16,-64) (1,4) (16,64) (1,-4) (8/49,552/343) (98,966) (8/49,-552/343) (98,-966) (225/64,4785/512) (1024/225,40832/3375) (225/64,-4785/512) (1024/225,-40832/3375) (75272/1681,-20502696/68921) (75272/1681,20502696/68921) (414736/638401,1632782144/510082399) (414736/638401,-1632782144/510082399) (638401/25921,506441356/4173281) (638401/25921,-506441356/4173281) (93782937600/222337921,-28687315113980160/3315280740031) (222337921/5861433600,349200427495231/448751356416000) (93782937600/222337921,28687315113980160/3315280740031) (222337921/5861433600,-349200427495231/448751356416000) # # a-invariants: (0, -1, 0, -64, 64) # Cremona label: 336e2 # (8,0) (1,0) (-8,0) (64,504) (10,-18) (10,18) (64,-504) (0,8) (0,-8) (-6,14) (-6,-14) (-47/16,945/64) (17,60) (184/9,-2240/27) (184/9,2240/27) (-47/16,-945/64) (17,-60) (-56/25,1728/125) (-56/25,-1728/125) (4810/49,330786/343) (4810/49,-330786/343) (-1920/289,-60536/4913) (-1920/289,60536/4913) (186/529,78302/12167) (186/529,-78302/12167) (20416/2209,-1379448/103823) (20416/2209,1379448/103823) (-805439/101761,112727160/32461759) (116161/14400,4756609/1728000) (-805439/101761,-112727160/32461759) (222712/231361,-170881920/111284641) (1620488/961,-2062220160/29791) (222712/231361,170881920/111284641) (1620488/961,2062220160/29791) (116161/14400,-4756609/1728000) (418306208657/16547992321,251512763122598580/2128717184181119) (4140753300664/285922270089,-6776831927088032320/152887498495179813) (418306208657/16547992321,-251512763122598580/2128717184181119) (4140753300664/285922270089,6776831927088032320/152887498495179813) (549751895706457962241/1303218960703545600,-12872313871880128913523303267839/1487736728988751519888896000) (549751895706457962241/1303218960703545600,12872313871880128913523303267839/1487736728988751519888896000) # # a-invariants: (0, -1, 0, -624, -5760) # Cremona label: 336e3 # (-15,0) (66,486) (-14,6) (66,-486) (-14,-6) (-5271/400,7533/8000) (265/9,-620/27) (-5271/400,-7533/8000) (265/9,620/27) (10759746/108241,-33870044214/35611289) (-2184974/152881,-351843786/59776471) (10759746/108241,33870044214/35611289) (-2184974/152881,351843786/59776471) (-352031990415/23543526721,6997673827052280/3612495196543519) (23335950721/13838400,3563374732341281/51478848000) (23335950721/13838400,-3563374732341281/51478848000) (-352031990415/23543526721,-6997673827052280/3612495196543519) (150272698355390340269065/4731439529835659986569,24027198615925264662580856712699460/325454245293154239942955064550747) (150272698355390340269065/4731439529835659986569,-24027198615925264662580856712699460/325454245293154239942955064550747) # # a-invariants: (0, -1, 0, -784, 8704) # Cremona label: 336e4 # (10,-42) (24,56) (-32,0) (24,-56) (16,0) (17,0) (10,42) (-11,-126) (66,490) (-11,126) (376/25,1176/125) (18,-10) (-8,-120) (376/25,-1176/125) (-8,120) (18,10) (61/4,63/8) (80,672) (160/9,-224/27) (80,-672) (61/4,-63/8) (66,-490) (160/9,224/27) (1504/169,106560/2197) (3673/144,117845/1728) (-3830/121,37758/1331) (16344/961,17864/29791) (6744,553784) (6744,-553784) (569/25,5772/125) (16344/961,-17864/29791) (3673/144,-117845/1728) (14992/1369,1834560/50653) (1504/169,-106560/2197) (-3830/121,-37758/1331) (13450/841,-14322/24389) (569/25,-5772/125) (13450/841,14322/24389) (14992/1369,-1834560/50653) (22955600/1256641,-16931240928/1408694561) (12664480/227529,39790190944/108531333) (1409298/14161,1604387770/1685159) (20559426/1168561,8654195270/1263214441) (20559426/1168561,-8654195270/1263214441) (12664480/227529,-39790190944/108531333) (22955600/1256641,16931240928/1408694561) (1409298/14161,-1604387770/1685159) (56734965121/3331598400,-234053567182369/192299859648000) (56734965121/3331598400,234053567182369/192299859648000) (164910791057/97792321,66939935584037880/967068262369) (164910791057/97792321,-66939935584037880/967068262369) # # a-invariants: (0, -1, 0, -12544, 544960) # Cremona label: 336e5 # (66,-14) (66,14) (65,0) (90,-370) (1626/25,-74/125) (1626/25,74/125) (2341/36,-91/216) (101,546) (90,370) (2341/36,91/216) (101,-546) (52533186/808201,-9018394/726572699) (2248961/34225,-63049116/6331625) (1616065/24336,74769785/3796416) (816066/121,-737048746/1331) (2248961/34225,63049116/6331625) (1616065/24336,-74769785/3796416) (816066/121,737048746/1331) (52533186/808201,9018394/726572699) # # a-invariants: (0, -1, 0, -544, 13888) # Cremona label: 336e6 # (-31,0) (18,98) (18,-98) (312,5488) (-24,112) (-24,-112) (312,-5488) (32,168) (64/9,2744/27) (32,-168) (64/9,-2744/27) (-6,-130) (-6,130) (-83/9,3626/27) (-83/9,-3626/27) (1626/25,62426/125) (317/4,5439/8) (1626/25,-62426/125) (317/4,-5439/8) (-59296/2809,-18546696/148877) (13176/361,1394288/6859) (15912/3481,-22001392/205379) (17152/81,-2228968/729) (-59296/2809,18546696/148877) (17152/81,2228968/729) (15912/3481,22001392/205379) (13176/361,-1394288/6859) (5671698/841,-13506252298/24389) (4033009/197136,9139322465/87528384) (66161/4225,26001084/274625) (4033009/197136,-9139322465/87528384) (-3563502/116281,1148625562/39651821) (5671698/841,13506252298/24389) (66161/4225,-26001084/274625) (-3563502/116281,-1148625562/39651821) # # a-invariants: (0, 1, 0, -1, 2) # Cremona label: 336f1 # (-2,0) # # a-invariants: (0, 1, 0, -36, 72) # Cremona label: 336f2 # (3,0) # # a-invariants: (1, -1, 0, 1, 1) # Cremona label: 338a1 # (0,-1) (0,1) (1,-2) (1,1) (6,-17) (6,11) (-5/9,13/27) (-5/9,2/27) (84/25,-937/125) (84/25,517/125) (295/196,-7699/2744) (295/196,3569/2744) (-924/3481,194489/205379) (-924/3481,-139973/205379) (51979/1089,10902191/35937) (51979/1089,-12617498/35937) # # a-invariants: (1, -1, 0, -389, -2859) # Cremona label: 338a2 # (26,-77) (26,51) (105,-1104) (105,999) # # a-invariants: (1, -1, 1, 137, 2643) # Cremona label: 338b1 # # # a-invariants: (1, -1, 1, -65773, -6478507) # Cremona label: 338b2 # # # a-invariants: (1, 0, 0, 81, 467) # Cremona label: 338c1 # # # a-invariants: (1, 0, 0, -764, -16264) # Cremona label: 338c2 # # # a-invariants: (1, 0, 0, -77659, -8336303) # Cremona label: 338c3 # # # a-invariants: (1, 1, 0, 504, -13112) # Cremona label: 338d1 # # # a-invariants: (1, 1, 0, -54421, 4945517) # Cremona label: 338d2 # # # a-invariants: (1, 1, 1, 3, -5) # Cremona label: 338e1 # (5,-16) (5,10) (1,-2) (1,0) (7/4,-37/8) (7/4,15/8) (17,-82) (17,64) (253/9,-4514/27) (253/9,3728/27) (137/64,-2993/512) (137/64,1385/512) (3421/3721,-342462/226981) (3421/3721,-93200/226981) (914999/2500,-899689793/125000) (914999/2500,853814843/125000) # # a-invariants: (1, 1, 1, -322, 2127) # Cremona label: 338e2 # (5,-29) (5,23) (9,3) (9,-13) (57,-445) (57,387) (-7,-61) (-7,67) (97/9,-367/27) (97/9,49/27) (17,35) (17,-53) (-21,23) (-21,-3) (15,-39) (15,23) (281/25,-1961/125) (281/25,431/125) (-95/9,-1679/27) (-95/9,1937/27) (1961/49,73669/343) (1961/49,-87739/343) (1137/121,-15975/1331) (1137/121,2137/1331) (1233/361,-240927/6859) (1233/361,210641/6859) (1373,50207) (1373,-51581) (2023/324,97255/5832) (2023/324,-139501/5832) (8189/961,151837/29791) (8189/961,-435487/29791) (196425/2209,-90690771/103823) (196425/2209,81354973/103823) (-49119/13225,-85135999/1520875) (-49119/13225,89263809/1520875) (-9540367/485809,-9283166765/338608873) (-9540367/485809,15594193691/338608873) # # a-invariants: (1, -1, 0, -454, 5812) # Cremona label: 338f1 # (23,73) (23,-96) (-3,86) (-3,-83) (-77/4,-599/8) (-77/4,753/8) (13,-51) (13,38) (3279/25,-193168/125) (3279/25,176773/125) (14273/256,1479993/4096) (14273/256,-1708361/4096) (142087/16641,98242409/2146689) (142087/16641,-116571632/2146689) # # a-invariants: (1, -1, 0, -35944, -2868878) # Cremona label: 338f2 # (3613/9,-191066/27) (3613/9,180227/27) (2287/9,-59792/27) (2287/9,52931/27) (285242083/93636,-4850949245167/28652616) (285242083/93636,4763665167769/28652616) (3658746247/4004001,212313493913897/8012006001) (3658746247/4004001,-219634645154144/8012006001) # # a-invariants: (0, 1, 1, -441, 3422) # Cremona label: 339a1 # (18,-41) (18,40) (12,1) (12,-2) (45/4,-31/8) (45/4,23/8) (0,58) (0,-59) (-18,-77) (-18,76) (153/16,805/64) (153/16,-869/64) (294/25,47/125) (294/25,-172/125) (2232/169,-20255/2197) (2232/169,18058/2197) (293/4,-4867/8) (293/4,4859/8) (13140/289,1382198/4913) (13140/289,-1387111/4913) (30570/2401,-739376/117649) (30570/2401,621727/117649) (719433/61504,8163941/15252992) (719433/61504,-23416933/15252992) (432422472/37810201,-654668035126/232494925949) (432422472/37810201,422173109177/232494925949) # # a-invariants: (0, -1, 1, -112, 501) # Cremona label: 339b1 # # # a-invariants: (0, 1, 1, -2, 2) # Cremona label: 339c1 # (1,-2) (1,1) (-2,-2) (-2,1) (0,-2) (0,1) (7,-20) (7,19) (13/4,-55/8) (13/4,47/8) (-5/9,37/27) (-5/9,-64/27) (-68/49,538/343) (-68/49,-881/343) (274/169,-6434/2197) (274/169,4237/2197) (909/25,27698/125) (909/25,-27823/125) (2569/4624,242867/314432) (2569/4624,-557299/314432) (20107627/10962721,-121558384375/36297569231) (20107627/10962721,85260815144/36297569231) # # a-invariants: (0, 0, 0, -28, 57) # Cremona label: 340a1 # (3,0) (2,-3) (2,3) (4,3) (4,-3) (-6,-3) (28/9,-1/27) (-6,3) (28/9,1/27) (73/16,315/64) (59/25,252/125) (59/25,-252/125) (73/16,-315/64) (5034/1681,-5163/68921) (1708/9,70561/27) (1708/9,-70561/27) (5034/1681,5163/68921) (159604/43681,-17014413/9129329) (159604/43681,17014413/9129329) (42002/28561,21041493/4826809) (42002/28561,-21041493/4826809) (19827361/6350400,1896758641/16003008000) (19827361/6350400,-1896758641/16003008000) # # a-invariants: (0, 0, 0, -23, 78) # Cremona label: 340a2 # (-6,0) (11,34) (11,-34) (-1,-10) (-1,10) (31/9,170/27) (31/9,-170/27) (3,-6) (3,6) (-7/4,85/8) (14,-50) (-7/4,-85/8) (14,50) (-53/9,82/27) (759,20910) (-53/9,-82/27) (759,-20910) (1079/121,-32110/1331) (-109/361,63206/6859) (1079/121,32110/1331) (-109/361,-63206/6859) (1569/400,55503/8000) (10186/3969,1497700/250047) (1569/400,-55503/8000) (10186/3969,-1497700/250047) (2871067/15129,4863274082/1860867) (2871067/15129,-4863274082/1860867) (2650420083/1247573041,-274220034046314/44065527381161) (2650420083/1247573041,274220034046314/44065527381161) # # a-invariants: (1, -1, 1, -140, -601) # Cremona label: 342a1 # # # a-invariants: (1, -1, 1, 85, -2437) # Cremona label: 342a2 # (19,66) (19,-86) # # a-invariants: (1, -1, 1, -770, 66305) # Cremona label: 342a3 # (1,255) (1,-257) # # a-invariants: (1, -1, 1, -860, 9915) # Cremona label: 342b1 # (17,-9) # # a-invariants: (1, -1, 1, -770, 12003) # Cremona label: 342b2 # (-133/4,129/8) # # a-invariants: (1, -1, 0, -72, 0) # Cremona label: 342c1 # (0,0) (-3,15) (-3,-12) (24,-120) (24,96) (-8,8) (9,0) (-8,0) (9,-9) (384/25,5088/125) (-75/16,-795/64) (-75/16,1095/64) (384/25,-7008/125) (289,-5049) (-72/289,21384/4913) (-72/289,-20160/4913) (289,4760) (127896/2809,-47941728/148877) (127896/2809,41163240/148877) (793881/78400,-445730769/21952000) (-627200/88209,-187248320/26198073) (793881/78400,223444089/21952000) (-627200/88209,373526720/26198073) (14208623104358622698641/433421324215045689600,1467863921069436659546231596078831/9023300318224116113827309056000) (14208623104358622698641/433421324215045689600,-1763670025236738453670990155082591/9023300318224116113827309056000) # # a-invariants: (1, -1, 0, 288, -216) # Cremona label: 342c2 # (3/4,-3/8) (21,111) (15,78) (15,-93) (21,-132) (1155,38667) (1,8) (1155,-39822) (1,-9) (5847/196,466941/2744) (4269/400,-547887/8000) (5847/196,-548799/2744) (4269/400,462507/8000) (83449/289,-24825897/4913) (83449/289,23407264/4913) (8029319518587/62673119716,21878335694449606389/15689964828421736) (8029319518587/62673119716,-23888443718649787491/15689964828421736) (20854969129/6915585600,-15787762345248137/575100098496000) (20854969129/6915585600,14053463112480497/575100098496000) # # a-invariants: (1, -1, 0, -3852, 92988) # Cremona label: 342c3 # (18,162) (37,-28) (37,-9) (36,-18) (18,-180) (-39,447) (906/25,-2436/125) (-39,-408) (42,-84) (573/16,-1317/64) (906/25,-2094/125) (33,-48) (132,1302) (42,42) (33,15) (573/16,-975/64) (132,-1434) (3033/64,50967/512) (1773/49,-6399/343) (3033/64,-75231/512) (-62,-270) (1989/25,-71748/125) (2788/81,-25010/729) (2788/81,-82/729) (4306/121,-16938/1331) (1989/25,61803/125) (4306/121,-30428/1331) (-62,332) (1773/49,-6012/343) (341124/9025,-865158/857375) (70269/2704,12183891/140608) (584538/529,439344822/12167) (584538/529,-452789196/12167) (70269/2704,-15837879/140608) (341124/9025,-31541622/857375) (1267384297/34857216,-4302096752051/205797003264) (26407357/90601,-136646530173/27270901) (597978901/15249025,-3127547732841/59547442625) (597978901/15249025,792440124436/59547442625) (1267384297/34857216,-3180540137437/205797003264) (26407357/90601,128697915716/27270901) (3254582441418/56604498889,-3661347258102142014/13467172562174213) (3254582441418/56604498889,2887026767387295708/13467172562174213) # # a-invariants: (1, -1, 0, -3762, 97470) # Cremona label: 342c4 # (19,-190) (57,-285) (-285/4,285/8) (57,228) (19,171) (-57/4,-3021/8) (285,-4845) (2109/16,83505/64) (285,4560) (1653/49,25080/343) (-969/25,56031/125) (-969/25,-51186/125) (39,75) (-57/4,3135/8) (2109/16,-91941/64) (39,-114) (1653/49,-36651/343) (-3029/49,-92835/343) (239419/3025,83137293/166375) (-3029/49,114038/343) (185763/6724,-72974535/551368) (2136873/1849,3072429561/79507) (28785/5041,-99788475/357911) (28785/5041,97744740/357911) (185763/6724,57741969/551368) (2136873/1849,-3164315100/79507) (237481/5184,43831423/373248) (237481/5184,-60930055/373248) (239419/3025,-96305338/166375) (678047421/24403600,12494483522061/120553784000) (678047421/24403600,-15844037781801/120553784000) # # a-invariants: (1, -1, 1, -29, 1) # Cremona label: 342d1 # (-5,2) # # a-invariants: (1, -1, 1, -299, 2053) # Cremona label: 342d2 # (43/4,-47/8) # # a-invariants: (1, -1, 0, -3, 1) # Cremona label: 342e1 # (2,-1) (0,-1) (-1,2) (-1,-1) (0,1) (3,2) (8,17) (3,-5) (8,-25) (-14/9,13/27) (-14/9,29/27) (5/16,-1/64) (5/16,-19/64) (123/49,302/343) (344/25,-7013/125) (344/25,5293/125) (123/49,-1163/343) (-336/1681,-79241/68921) (-1345/1849,152102/79507) (-1345/1849,-94267/79507) (-336/1681,93017/68921) (73513/576,18989143/13824) (73513/576,-20753455/13824) # # a-invariants: (1, -1, 0, -33, -65) # Cremona label: 342e2 # (-13/4,13/8) (-3,1) (-3,2) (11,-34) (11,23) (-145/49,365/343) (-145/49,650/343) (9,13) (9,-22) (2039/4,-94037/8) (2039/4,89959/8) (-467/144,2533/1728) (-467/144,3071/1728) (17481/1225,-2324834/42875) (17481/1225,1712999/42875) (-9098547/3108169,6378228659/5479701947) (-9098547/3108169,9662509702/5479701947) # # a-invariants: (1, -1, 0, -3168, 62464) # Cremona label: 342f1 # (-64,32) # # a-invariants: (1, -1, 0, -49248, 4218880) # Cremona label: 342f2 # (515/4,-515/8) (128,-64) (-256,128) # # a-invariants: (1, -1, 0, -787968, 269419360) # Cremona label: 342f3 # (2051/4,-2051/8) # # a-invariants: (1, -1, 0, -47808, 4476064) # Cremona label: 342f4 # (-1021/4,1021/8) # # a-invariants: (1, -1, 0, 0, -32) # Cremona label: 342g1 # # # a-invariants: (1, -1, 0, -630, 6898) # Cremona label: 342g2 # # # a-invariants: (0, 0, 0, 4, 4) # Cremona label: 344a1 # (0,2) (0,-2) (1,-3) (1,3) (24,-118) (24,118) (-23/36,-235/216) (-23/36,235/216) (1416/529,70826/12167) (1416/529,-70826/12167) (20401/3481,-3106197/205379) (20401/3481,3106197/205379) (56007841/7952400,438028916111/22425768000) (56007841/7952400,-438028916111/22425768000) # # a-invariants: (0, -1, 1, -731, -7369) # Cremona label: 345a1 # # # a-invariants: (0, 1, 1, -1, 1) # Cremona label: 345b1 # (-1,1) (-1,-2) (1,-2) (1,1) (5/4,-19/8) (5/4,11/8) (-11/9,26/27) (-11/9,-53/27) (179,2401) (179,-2402) (-311/400,7763/8000) (-311/400,-15763/8000) # # a-invariants: (1, 0, 1, 456, 2401) # Cremona label: 345c1 # (-5,2) # # a-invariants: (1, 0, 1, -2189, 20387) # Cremona label: 345c2 # (-51,25) (41,-21) (39/4,-43/8) # # a-invariants: (1, 0, 1, -16564, -807613) # Cremona label: 345c3 # (-329/4,325/8) # # a-invariants: (1, 0, 1, -30134, 2010071) # Cremona label: 345c4 # (407/4,-411/8) # # a-invariants: (1, 0, 0, 9, 0) # Cremona label: 345d1 # (0,0) (3,6) (3,-9) # # a-invariants: (1, 0, 0, -36, -9) # Cremona label: 345d2 # (6,-3) (-1/4,1/8) (-6,3) # # a-invariants: (1, 0, 0, -411, -3234) # Cremona label: 345d3 # (-49/4,49/8) # # a-invariants: (1, 0, 0, -381, 2820) # Cremona label: 345d4 # (47/4,-47/8) # # a-invariants: (0, -1, 1, 30, -97) # Cremona label: 345e1 # # # a-invariants: (0, 1, 1, -100, 406) # Cremona label: 345f1 # (5,7) (5,-8) (-10,22) (-10,-23) (8,-14) (8,13) (35,-203) (35,202) (5/4,-139/8) (5/4,131/8) (-1,22) (-1,-23) (20,-83) (20,82) (10,22) (10,-23) (-7,28) (-7,-29) (65/16,-617/64) (65/16,553/64) (305,5332) (305,-5333) (146/25,869/125) (146/25,-994/125) (-580/49,2731/343) (-580/49,-3074/343) (815/121,11507/1331) (815/121,-12838/1331) (317/4,-5641/8) (317/4,5633/8) (235/81,-9262/729) (235/81,8533/729) (-1120/289,-137059/4913) (-1120/289,132146/4913) (4814/361,272803/6859) (4814/361,-279662/6859) (47045/3481,-8585347/205379) (47045/3481,8379968/205379) (-40615/10816,30097283/1124864) (-40615/10816,-31222147/1124864) (-156029/13225,13098406/1520875) (-156029/13225,-14619281/1520875) (29890415/90601,163577051077/27270901) (29890415/90601,-163604321978/27270901) # # a-invariants: (1, 0, 0, -16, -26) # Cremona label: 346a1 # # # a-invariants: (1, 1, 1, -7, -3) # Cremona label: 346b1 # (-1,2) (-1,-2) (3,2) (3,-6) (-3,0) (-3,2) (5,-14) (5,8) (-5/9,-34/27) (-5/9,22/27) (47,302) (47,-350) (-27/16,-147/64) (-27/16,191/64) (279/121,-3638/1331) (279/121,-762/1331) (-1549/625,49226/15625) (-1549/625,-26126/15625) (4909/441,297578/9261) (4909/441,-409928/9261) (-1488345/606841,1497221754/472729139) (-1488345/606841,-810530138/472729139) (4194545/1827904,-6542544211/2471326208) (4194545/1827904,-1599806837/2471326208) # # a-invariants: (0, 1, 1, 2, 0) # Cremona label: 347a1 # (0,-1) (0,0) (3,6) (3,-7) (13/9,-91/27) (13/9,64/27) (42/169,-3093/2197) (42/169,896/2197) (6045/196,-479415/2744) (6045/196,476671/2744) (-25466/216225,-66697273/100544625) (-25466/216225,-33847352/100544625) # # a-invariants: (0, -1, 0, 2, 1) # Cremona label: 348a1 # (0,-1) (0,1) (2,-3) (2,3) (3,5) (3,-5) (-2/9,19/27) (-2/9,-19/27) (60,461) (60,-461) (29/100,1233/1000) (29/100,-1233/1000) (1140/841,-50951/24389) (1140/841,50951/24389) (15718/3249,1856521/185193) (15718/3249,-1856521/185193) # # a-invariants: (0, 1, 0, -2, -3) # Cremona label: 348b1 # # # a-invariants: (0, -1, 0, -94, 3973) # Cremona label: 348c1 # # # a-invariants: (0, 1, 0, -50, 129) # Cremona label: 348d1 # (10,-27) (10,27) (4,3) (4,-3) (1,9) (1,-9) (-8,-9) (-8,9) (-2,15) (-2,-15) (13/4,-27/8) (13/4,27/8) (6,-9) (6,9) (64,513) (64,-513) (25,-123) (25,123) (124/25,657/125) (124/25,-657/125) (130/49,1611/343) (130/49,-1611/343) (-71/16,1077/64) (-71/16,-1077/64) (-734/121,20871/1331) (-734/121,-20871/1331) (172/81,4429/729) (172/81,-4429/729) (3793/841,96255/24389) (3793/841,-96255/24389) (5872/361,-427461/6859) (5872/361,427461/6859) (29734/169,5137677/2197) (29734/169,-5137677/2197) (47701/6724,7431111/551368) (47701/6724,-7431111/551368) (-152726103899/42753832900,146541655990554351/8840210028733000) (-152726103899/42753832900,-146541655990554351/8840210028733000) # # a-invariants: (1, -1, 0, 58, -284) # Cremona label: 350a1 # (4,-2) # # a-invariants: (1, -1, 0, -442, -2784) # Cremona label: 350a2 # (-29/4,29/8) (-16,8) (24,-12) # # a-invariants: (1, -1, 0, -6692, -209034) # Cremona label: 350a3 # (-189/4,189/8) # # a-invariants: (1, -1, 0, -2192, 37466) # Cremona label: 350a4 # (131/4,-131/8) # # a-invariants: (1, 0, 0, 112, 392) # Cremona label: 350b1 # (2,-26) (2,24) # # a-invariants: (1, 0, 0, -1138, -20858) # Cremona label: 350b2 # # # a-invariants: (1, 1, 0, 5, 5) # Cremona label: 350c1 # (1,3) (1,-4) (-1,0) (-1,1) (11/4,-67/8) (11/4,45/8) (31,-192) (31,161) (1/225,-7571/3375) (1/225,7556/3375) (-671/1024,56833/32768) (-671/1024,-35361/32768) # # a-invariants: (1, 1, 0, -45, -185) # Cremona label: 350c2 # (31,-187) (31,156) (9,-20) (9,11) (4371/484,119303/10648) (4371/484,-215465/10648) (30121/961,-5663212/29791) (30121/961,4729461/29791) (228318751/225,3448236311179/3375) (228318751/225,-3451661092444/3375) (14136779809/461046784,1517669095128543/9899596546048) (14136779809/461046784,-1821214031187391/9899596546048) # # a-invariants: (1, 1, 1, -13, 31) # Cremona label: 350d1 # (-5,2) # # a-invariants: (1, 1, 1, -263, 1531) # Cremona label: 350d2 # (35/4,-39/8) # # a-invariants: (1, 1, 1, 112, -719) # Cremona label: 350d3 # (5,-3) # # a-invariants: (1, 1, 1, -888, -8719) # Cremona label: 350d4 # (-45/4,41/8) # # a-invariants: (1, 1, 1, -4263, -109219) # Cremona label: 350d5 # (75,-38) # # a-invariants: (1, 1, 1, -68263, -6893219) # Cremona label: 350d6 # (-605/4,601/8) # # a-invariants: (1, -1, 0, -4492, 126416) # Cremona label: 350e1 # # # a-invariants: (1, -1, 1, -180, 1047) # Cremona label: 350f1 # (-1,35) (-1,-35) (9,-15) (9,5) (13,21) (13,-35) (-11,45) (-11,-35) (69,-595) (69,525) (5,-19) (5,13) (61/9,-385/27) (61/9,175/27) (29,-155) (29,125) (-15,-7) (-15,21) (19,55) (19,-75) (31/4,35/8) (31/4,-105/8) (3,-25) (3,21) (209,-3115) (209,2905) (-59/9,-1105/27) (-59/9,1255/27) (269/25,-2807/125) (269/25,1337/125) (501/49,2955/343) (501/49,-6805/343) (-611/121,-53865/1331) (-611/121,59255/1331) (373,-7379) (373,7005) (621/289,-134715/4913) (621/289,119245/4913) (1361/169,9125/2197) (1361/169,-29015/2197) (1375/81,-44261/729) (1375/81,31157/729) (-919/64,14975/512) (-919/64,-8135/512) (12519/361,-1416975/6859) (12519/361,1172255/6859) (3385/529,-183709/12167) (3385/529,93687/12167) (98061/1849,-31746345/79507) (98061/1849,27450215/79507) (441061/31329,147209405/5545233) (441061/31329,-230822435/5545233) (5709/34225,198253357/6331625) (5709/34225,-205641147/6331625) (5527969/1681,12882210285/68921) (5527969/1681,-13108925935/68921) (-414389/182329,3003499855/77854483) (-414389/182329,-2904410235/77854483) (75795845/808201,616436314799/726572699) (75795845/808201,-685303352153/726572699) # # a-invariants: (0, 1, 0, -45, -133) # Cremona label: 352a1 # # # a-invariants: (0, 1, 0, 3, 11) # Cremona label: 352b1 # (1,4) (1,-4) (-2,1) (-2,-1) (25/9,188/27) (25/9,-188/27) (133/4,-1559/8) (133/4,1559/8) (-407/1849,-256124/79507) (-407/1849,256124/79507) (-27290/19881,6968591/2803221) (-27290/19881,-6968591/2803221) # # a-invariants: (0, -1, 0, -45, 133) # Cremona label: 352c1 # (3,4) (3,-4) (4,-1) (4,1) (19,-76) (19,76) (-3/4,-103/8) (-3/4,103/8) (979/225,2708/3375) (979/225,-2708/3375) (2268/361,52591/6859) (2268/361,-52591/6859) # # a-invariants: (0, -1, 0, 3, -11) # Cremona label: 352d1 # (3,4) (3,-4) (4,7) (4,-7) (115,1228) (115,-1228) (477/196,6007/2744) (477/196,-6007/2744) (71347/12321,17674388/1367631) (71347/12321,-17674388/1367631) # # a-invariants: (0, 0, 0, 8, -112) # Cremona label: 352e1 # # # a-invariants: (0, 0, 0, 8, 112) # Cremona label: 352f1 # (12,-44) (12,44) (1,11) (1,-11) (-4,-4) (-4,4) (-7/4,-77/8) (-7/4,77/8) (124/25,-2068/125) (124/25,2068/125) (57,431) (57,-431) (3436/81,202004/729) (3436/81,-202004/729) (3369/784,329813/21952) (3369/784,-329813/21952) (-7988/3721,-2091836/226981) (-7988/3721,2091836/226981) (-210271/55225,-66606683/12977875) (-210271/55225,66606683/12977875) # # a-invariants: (1, 1, 1, -2, 16) # Cremona label: 353a1 # (-13/4,9/8) # # a-invariants: (1, 1, 1, -7, 4) # Cremona label: 353a2 # (1,-1) # # a-invariants: (1, 1, 1, -3, -3) # Cremona label: 354a1 # (-1,0) # # a-invariants: (1, 1, 1, 7, -7) # Cremona label: 354a2 # (3/4,-7/8) # # a-invariants: (1, 0, 1, 9, -8) # Cremona label: 354b1 # (2,3) (2,-6) # # a-invariants: (1, 0, 1, -216, -1250) # Cremona label: 354b2 # # # a-invariants: (1, 1, 0, -715, 7069) # Cremona label: 354c1 # (13,7) (13,-20) (15,-7) (15,-8) (79/4,191/8) (79/4,-349/8) (-25,113) (-25,-88) (5773/361,-100460/6859) (5773/361,-9227/6859) (24201/1600,-536321/64000) (24201/1600,-431719/64000) (3174055/40401,5089155673/8120601) (3174055/40401,-5727140728/8120601) # # a-invariants: (1, 1, 0, -34, -92) # Cremona label: 354d1 # (-4,2) # # a-invariants: (1, 1, 0, -54, 0) # Cremona label: 354d2 # (0,0) (-8,4) (27/4,-27/8) # # a-invariants: (1, 1, 0, -644, 6018) # Cremona label: 354d3 # (59/4,-59/8) # # a-invariants: (1, 1, 0, 216, 270) # Cremona label: 354d4 # (-5/4,5/8) # # a-invariants: (1, 1, 1, -23511, -1393299) # Cremona label: 354e1 # (-85,42) # # a-invariants: (1, 1, 1, -13271, -2601619) # Cremona label: 354e2 # (675/4,-679/8) # # a-invariants: (1, 1, 1, -5, 11) # Cremona label: 354f1 # (3,4) (3,-8) (-1,4) (-1,-4) (-3,-2) (-3,4) (1,2) (1,-4) (15,-68) (15,52) (11,-44) (11,32) (3/4,17/8) (3/4,-31/8) (-29/9,92/27) (-29/9,-32/27) (-33/49,-1364/343) (-33/49,1252/343) (89/25,652/125) (89/25,-1222/125) (573,13444) (573,-14018) (919/361,-46036/6859) (919/361,21716/6859) (-2253/1681,-273436/68921) (-2253/1681,296888/68921) (-2791/1024,-87827/32768) (-2791/1024,144371/32768) (25635/20449,-12328516/2924207) (25635/20449,5738504/2924207) (186679/8649,-91707116/804357) (186679/8649,73541612/804357) # # a-invariants: (0, 1, 1, 5, -1) # Cremona label: 355a1 # (1,-3) (1,2) # # a-invariants: (0, 1, 1, -95, -396) # Cremona label: 355a2 # # # a-invariants: (0, -1, 0, 4, -8) # Cremona label: 356a1 # (2,-2) (2,2) (6,-14) (6,14) (9,-26) (9,26) (86/49,398/343) (86/49,-398/343) (1474/9,-56422/27) (1474/9,56422/27) (6473/2704,-434819/140608) (6473/2704,434819/140608) (541794/126025,-374769722/44738875) (541794/126025,374769722/44738875) # # a-invariants: (0, -1, 1, 3565, 72914) # Cremona label: 357a1 # # # a-invariants: (0, -1, 1, -5, -16) # Cremona label: 357b1 # (4,3) (4,-4) (18,73) (18,-74) (37/4,199/8) (37/4,-207/8) (46/9,-233/27) (46/9,206/27) (2536/25,126984/125) (2536/25,-127109/125) (48609/13456,-1605559/1560896) (48609/13456,44663/1560896) # # a-invariants: (0, 1, 1, 20, -17) # Cremona label: 357c1 # # # a-invariants: (0, 1, 1, -42, 110) # Cremona label: 357d1 # (0,10) (0,-11) (3,4) (3,-5) (21,-95) (21,94) (-6,13) (-6,-14) (21/4,59/8) (21/4,-67/8) (6,-11) (6,10) (-7,10) (-7,-11) (15,-56) (15,55) (84/25,473/125) (84/25,-598/125) (-15/16,-815/64) (-15/16,751/64) (588,14269) (588,-14270) (39/49,-3200/343) (39/49,2857/343) (441/169,9937/2197) (441/169,-12134/2197) (286/9,4807/27) (286/9,-4834/27) (-2331/484,154045/10648) (-2331/484,-164693/10648) (6402/1369,286825/50653) (6402/1369,-337478/50653) (-55581/7225,3441847/614125) (-55581/7225,-4055972/614125) (199977/53824,-61095413/12487168) (199977/53824,48608245/12487168) # # a-invariants: (1, 1, 0, 55, 197) # Cremona label: 358a1 # # # a-invariants: (1, 0, 0, -18, 28) # Cremona label: 358b1 # (2,0) (2,-2) # # a-invariants: (1, 0, 0, 32, 150) # Cremona label: 358b2 # # # a-invariants: (1, 0, 1, -23, 39) # Cremona label: 359a1 # (3,-3) (3,-1) (11/4,-17/8) (11/4,-13/8) (19,71) (19,-91) (257/64,-3437/512) (257/64,869/512) (11379/4225,-515913/274625) (11379/4225,-498347/274625) (141067/26244,-51777253/4251528) (141067/26244,24672871/4251528) # # a-invariants: (1, -1, 1, -7, 8) # Cremona label: 359b1 # (2,-1) (2,-2) (3,1) (3,-5) (8,16) (8,-25) (67/36,-317/216) (67/36,-301/216) (296/25,-5621/125) (296/25,4016/125) (4467/1681,19289/68921) (4467/1681,-271357/68921) (101618/48841,-24151210/10793861) (101618/48841,-9100229/10793861) (2003233/9216,-2926795745/884736) (2003233/9216,2733600641/884736) # # a-invariants: (0, 0, 0, -138, -623) # Cremona label: 360a1 # (-7,0) # # a-invariants: (0, 0, 0, -183, -182) # Cremona label: 360a2 # (-1,0) (-13,0) (14,0) # # a-invariants: (0, 0, 0, -1803, 29302) # Cremona label: 360a3 # (23,0) (26,0) (-49,0) # # a-invariants: (0, 0, 0, 717, -1442) # Cremona label: 360a4 # (2,0) # # a-invariants: (0, 0, 0, -28803, 1881502) # Cremona label: 360a5 # (98,0) # # a-invariants: (0, 0, 0, -723, 64078) # Cremona label: 360a6 # (-46,0) # # a-invariants: (0, 0, 0, -3, -18) # Cremona label: 360b1 # (3,0) # # a-invariants: (0, 0, 0, -123, -522) # Cremona label: 360b2 # (-6,0) # # a-invariants: (0, 0, 0, -27, 486) # Cremona label: 360c1 # (-9,0) # # a-invariants: (0, 0, 0, -1107, 14094) # Cremona label: 360c2 # (18,0) # # a-invariants: (0, 0, 0, 33, 34) # Cremona label: 360d1 # (-1,0) (5,-18) (5,18) # # a-invariants: (0, 0, 0, -147, 286) # Cremona label: 360d2 # (-13,0) (2,0) (11,0) # # a-invariants: (0, 0, 0, -1227, -16346) # Cremona label: 360d3 # (-22,0) # # a-invariants: (0, 0, 0, -1947, 33046) # Cremona label: 360d4 # (26,0) # # a-invariants: (0, 0, 0, -18, -27) # Cremona label: 360e1 # (-3,0) (-2,1) (6,-9) (6,9) (-2,-1) (13,44) (-39/16,99/64) (13,-44) (-39/16,-99/64) (-626/225,4193/3375) (1878/49,-80865/343) (1878/49,80865/343) (-626/225,-4193/3375) (37777/7744,770887/681472) (37777/7744,-770887/681472) (-113331/61009,2471832/15069223) (-113331/61009,-2471832/15069223) (-36288722/12609601,-44026858961/44776693151) (-36288722/12609601,44026858961/44776693151) # # a-invariants: (0, 0, 0, -63, 162) # Cremona label: 360e2 # (-9,0) (3,0) (6,0) (1,-10) (21,90) (-3,18) (-3,-18) (21,-90) (9,18) (1,10) (9,-18) (9/4,-45/8) (7,8) (-6,18) (9/4,45/8) (51,360) (-6,-18) (7,-8) (51,-360) (309/49,1350/343) (153,-1890) (309/49,-1350/343) (-71/9,350/27) (69/25,-378/125) (69/25,378/125) (-71/9,-350/27) (153,1890) (-369/361,-102960/6859) (-69/169,30096/2197) (217/16,2717/64) (1446/121,-44460/1331) (217/16,-2717/64) (-69/169,-30096/2197) (1446/121,44460/1331) (-369/361,102960/6859) (81669/289,23330070/4913) (-23547/2809,1496646/148877) (-23547/2809,-1496646/148877) (81669/289,-23330070/4913) (12889/4489,-657730/300763) (12889/4489,657730/300763) (424951/11025,-271481176/1157625) (424951/11025,271481176/1157625) (2844462817/472453696,9932183814097/10269253536256) (2844462817/472453696,-9932183814097/10269253536256) # # a-invariants: (0, 0, 0, -963, 11502) # Cremona label: 360e3 # (18,0) (19,-8) (27,-72) (19,8) (27,72) (54,-342) (54,342) (73/4,19/8) (73/4,-19/8) (1387/9,50680/27) (22131/1225,39096/42875) (22131/1225,-39096/42875) (1387/9,-50680/27) (124417/5776,-12046463/438976) (420066/20449,-57620844/2924207) (124417/5776,12046463/438976) (420066/20449,57620844/2924207) (229909347/811801,3465957809592/731432701) (229909347/811801,-3465957809592/731432701) # # a-invariants: (0, 0, 0, 117, 918) # Cremona label: 360e4 # (-6,0) (3,36) (19,100) (19,-100) (3,-36) (201/4,-2925/8) (-2,-26) (201/4,2925/8) (-2,26) (-2021/441,156500/9261) (-2021/441,-156500/9261) (3819/25,-236628/125) (3819/25,236628/125) (27457/2704,7895393/140608) (346314/43681,-441990900/9129329) (346314/43681,441990900/9129329) (27457/2704,-7895393/140608) (366445099/1297321,7020053270900/1477648619) (366445099/1297321,-7020053270900/1477648619) # # a-invariants: (0, 0, 1, -38, 90) # Cremona label: 361a1 # (0,9) (0,-10) (4,1) (4,-2) (57/16,-51/64) (57/16,-13/64) (28/9,-53/27) (28/9,26/27) (456/49,7818/343) (456/49,-8161/343) (-455/64,275/512) (-455/64,-787/512) (36024/4225,-5533607/274625) (36024/4225,5258982/274625) (140640628/34656769,-447753885662/204024399103) (140640628/34656769,243729486559/204024399103) (217648630369/72182016,101538721191064303/613258407936) (217648630369/72182016,-101539334449472239/613258407936) # # a-invariants: (0, 0, 1, -13718, -619025) # Cremona label: 361a2 # (2527,126891) (2527,-126892) (870755/1369,-797674205/50653) (870755/1369,797623552/50653) # # a-invariants: (0, -1, 1, 241, -17) # Cremona label: 361b1 # # # a-invariants: (0, -1, 1, -3369, 81208) # Cremona label: 361b2 # # # a-invariants: (0, -1, 1, -277729, 56427893) # Cremona label: 361b3 # # # a-invariants: (1, 1, 0, -4, 2) # Cremona label: 362a1 # (1,0) (1,-1) (-1,3) (-1,-2) (-1/4,15/8) (-1/4,-13/8) (31/25,-194/125) (31/25,39/125) (289/9,-5432/27) (289/9,4565/27) (2689/3136,-14547/175616) (2689/3136,-136037/175616) # # a-invariants: (1, 1, 1, 6, 7) # Cremona label: 362b1 # (1,3) (1,-5) (-1,1) (-1,-1) (5,-17) (5,11) (13,43) (13,-57) (-5/9,-59/27) (-5/9,47/27) (1/49,-1107/343) (1/49,757/343) (179/4,2249/8) (179/4,-2615/8) (1601/625,81451/15625) (1601/625,-137101/15625) (-4229/3721,-6255/226981) (-4229/3721,37243/226981) (56269/25281,18599029/4019679) (56269/25281,-31565479/4019679) (1019298241/94633984,-40736723798623/920599396352) (1019298241/94633984,29900391113823/920599396352) # # a-invariants: (1, 1, 1, -789, 8130) # Cremona label: 363a1 # (6,57) (6,-64) (17,-9) # # a-invariants: (1, 1, 1, -1394, -6874) # Cremona label: 363a2 # (39,-20) (-5,2) (-141/4,137/8) # # a-invariants: (1, 1, 1, -17729, -915100) # Cremona label: 363a3 # (-317/4,313/8) # # a-invariants: (1, 1, 1, 5261, -46804) # Cremona label: 363a4 # (35/4,-39/8) # # a-invariants: (0, -1, 1, 4, -1) # Cremona label: 363b1 # # # a-invariants: (0, -1, 1, 444, -826) # Cremona label: 363c1 # # # a-invariants: (0, 0, 0, -584, 5444) # Cremona label: 364a1 # (-8,98) (-8,-98) (20,42) (20,-42) (13,-7) (13,7) (124/9,-98/27) (124/9,98/27) (16,-14) (16,14) (17/4,-441/8) (17/4,441/8) (160,-2002) (160,2002) (-212/9,2114/27) (-212/9,-2114/27) (829/25,-18767/125) (829/25,18767/125) (548/49,6054/343) (548/49,-6054/343) (31720/2209,451486/103823) (31720/2209,-451486/103823) (18913/1296,252847/46656) (18913/1296,-252847/46656) (865604/20449,-695511978/2924207) (865604/20449,695511978/2924207) (-92627/3481,-9507463/205379) (-92627/3481,9507463/205379) # # a-invariants: (0, 1, 0, -5, 7) # Cremona label: 364b1 # (1,-2) (1,2) (-3,2) (-3,-2) (2,-3) (2,3) (21,98) (21,-98) (1/25,326/125) (1/25,-326/125) (-59/36,793/216) (-59/36,-793/216) (1537/361,-61738/6859) (1537/361,61738/6859) (12357/2401,-1412158/117649) (12357/2401,1412158/117649) (206343697/90554256,3062504181023/861714300096) (206343697/90554256,-3062504181023/861714300096) # # a-invariants: (1, 0, 0, -205, -1147) # Cremona label: 366a1 # # # a-invariants: (1, 0, 0, -5, 33) # Cremona label: 366b1 # (-2,7) (4,-11) (4,7) (-2,-5) # # a-invariants: (1, 0, 0, -515, -5697) # Cremona label: 366b2 # # # a-invariants: (1, 0, 1, -913, -10780) # Cremona label: 366c1 # # # a-invariants: (1, 1, 1, -7096, -233095) # Cremona label: 366d1 # # # a-invariants: (1, 1, 0, -1, -11) # Cremona label: 366e1 # (2,-1) # # a-invariants: (1, 1, 0, -81, -315) # Cremona label: 366e2 # (-21/4,21/8) (10,-5) (-6,3) # # a-invariants: (1, 1, 0, -1301, -18615) # Cremona label: 366e3 # (-85/4,85/8) # # a-invariants: (1, 1, 0, -141, 129) # Cremona label: 366e4 # (43/4,-43/8) (26,109) (26,-135) # # a-invariants: (1, 0, 1, -5, 20) # Cremona label: 366f1 # (0,4) (0,-5) (3,4) (9,-32) (3,-8) (9,22) (-3,-2) (-3,4) (18,67) (18,-86) (2,3) (-9/4,41/8) (2,-6) (-9/4,-31/8) (105,1024) (21/25,-634/125) (105,-1130) (-45/49,1660/343) (21/25,404/125) (-45/49,-1688/343) (1377/256,38569/4096) (-272/81,1268/729) (1296/289,-61429/4913) (-272/81,451/729) (1296/289,34484/4913) (1377/256,-64697/4096) (-26883/20449,-13962532/2924207) (44187/841,8650676/24389) (44187/841,-9956488/24389) (-26883/20449,14882594/2924207) (310535/188356,238482105/81746504) (310535/188356,-455000799/81746504) (33259729696/54066609,-6189334925800589/397551775977) (33259729696/54066609,5944378581569924/397551775977) # # a-invariants: (1, 0, 1, 40, -538) # Cremona label: 366f2 # (81,-773) (81,691) (20,-102) (20,81) (9,19) (9,-29) (58/9,-131/27) (58/9,-70/27) (1017/121,-33343/1331) (1017/121,20825/1331) (71/4,537/8) (71/4,-687/8) (34065/529,-6721579/12167) (34065/529,5925917/12167) (49834/9,-11199731/27) (49834/9,11050202/27) (128529/1225,43936913/42875) (128529/1225,-48478303/42875) (3760964/165649,6652065558/67419143) (3760964/165649,-8250197049/67419143) (38984401/5992704,-5101242767/14670139392) (38984401/5992704,-105002710273/14670139392) # # a-invariants: (1, 1, 1, -32, 65) # Cremona label: 366g1 # (-3,13) (-3,-11) (5,-11) (5,5) (3,1) (3,-5) (1,5) (1,-7) (21,-107) (21,85) (-7,5) (-7,1) (15,49) (15,-65) (13/9,103/27) (13/9,-169/27) (69/25,-607/125) (69/25,137/125) (23/4,-113/8) (23/4,59/8) (-195/49,4675/343) (-195/49,-3653/343) (613,-15499) (613,14885) (-249/121,-14275/1331) (-249/121,15683/1331) (1601/361,23287/6859) (1601/361,-60565/6859) (12093/3721,249865/226981) (12093/3721,-1214519/226981) (1225/2601,847859/132651) (1225/2601,-1042985/132651) (43323/1369,-9889571/50653) (43323/1369,8235967/50653) (-160579/24025,31988591/3723875) (-160579/24025,-10822721/3723875) (1011477/89401,-1134698833/26730899) (1011477/89401,805536311/26730899) (215185/118336,-230628395/40707584) (215185/118336,115897171/40707584) # # a-invariants: (0, 0, 0, 5, -6) # Cremona label: 368a1 # (1,0) (5,12) (3,6) (5,-12) (3,-6) (10/9,26/27) (73,-624) (10/9,-26/27) (73,624) (2381/1225,142596/42875) (2739/289,-146790/4913) (2739/289,146790/4913) (2381/1225,-142596/42875) (442945/24336,-296868833/3796416) (442945/24336,296868833/3796416) # # a-invariants: (0, 0, 0, -35, -62) # Cremona label: 368a2 # (-2,0) (21,92) (-3,-4) (-3,4) (21,-92) (-41/9,46/27) (-41/9,-46/27) (7,-6) (7,6) (-99/25,476/125) (-99/25,-476/125) (477/49,7820/343) (477/49,-7820/343) (658/9,16822/27) (-1559/676,44643/17576) (-1559/676,-44643/17576) (658/9,-16822/27) (422709/4489,274275644/300763) (422709/4489,-274275644/300763) (3689359/354025,-5593047102/210644875) (3689359/354025,5593047102/210644875) # # a-invariants: (0, 0, 0, -163, 930) # Cremona label: 368b1 # (-15,0) # # a-invariants: (0, 0, 0, -2723, 54690) # Cremona label: 368b2 # (30,0) # # a-invariants: (0, 1, 0, -4, -5) # Cremona label: 368c1 # # # a-invariants: (0, 1, 0, 0, -1) # Cremona label: 368d1 # (1,-1) (1,1) (13/4,-53/8) (13/4,53/8) (505/81,12203/729) (505/81,-12203/729) (36241/44944,-3980449/9528128) (36241/44944,3980449/9528128) # # a-invariants: (0, -1, 0, 2, -1) # Cremona label: 368e1 # (1,-1) (1,1) (5/4,-11/8) (5/4,11/8) (89,835) (89,-835) (1585/1936,61183/85184) (1585/1936,-61183/85184) (196681/123201,-83325221/43243551) (196681/123201,83325221/43243551) (60657092250305/28988575882816,-440570202019279267583/156077507364973156864) (60657092250305/28988575882816,440570202019279267583/156077507364973156864) # # a-invariants: (0, -1, 0, -18, 43) # Cremona label: 368e2 # (9,23) (9,-23) (13/4,-23/8) (13/4,23/8) (1,5) (1,-5) (-63/16,-391/64) (-63/16,391/64) (-191/81,-5957/729) (-191/81,5957/729) (189/100,3487/1000) (189/100,-3487/1000) (328177/18496,177774889/2515456) (328177/18496,-177774889/2515456) (125172973/21734244,998928091657/101325045528) (125172973/21734244,-998928091657/101325045528) # # a-invariants: (0, 0, 0, -1, -1) # Cremona label: 368f1 # # # a-invariants: (0, 0, 0, -55, 157) # Cremona label: 368g1 # (4,-1) (4,1) (17/4,1/8) (17/4,-1/8) (12,-35) (12,35) (33/16,463/64) (33/16,-463/64) (4124/961,-1861/29791) (4124/961,1861/29791) (24529/4900,915167/343000) (24529/4900,-915167/343000) (-158156/25281,-64345049/4019679) (-158156/25281,64345049/4019679) # # a-invariants: (0, 0, 1, 6, 13) # Cremona label: 369a1 # (1,4) (1,-5) (-1,2) (-1,-3) (49/4,347/8) (49/4,-355/8) (131/25,-1779/125) (131/25,1654/125) (-4211/2809,-214600/148877) (-4211/2809,65723/148877) (61489/24336,23438537/3796416) (61489/24336,-27234953/3796416) # # a-invariants: (0, 0, 1, -93, -369) # Cremona label: 369b1 # # # a-invariants: (0, 0, 1, 177, 24201) # Cremona label: 369b2 # # # a-invariants: (1, -1, 0, -5, 5) # Cremona label: 370a1 # (2,-1) (1,-1) (-2,3) (-2,-1) (1,0) (22/9,13/27) (11,-40) (22/9,-79/27) (11,29) (-62/169,-5277/2197) (31/100,1691/1000) (-62/169,6083/2197) (31/100,-2001/1000) (30902/5929,-5758493/456533) (15451/4761,-1807679/328509) (15451/4761,741560/328509) (30902/5929,3379039/456533) (2857023521/1363086400,-85865467078691/50325149888000) (2857023521/1363086400,-19615841316629/50325149888000) (5714047042/130850721,-460330094755439/1496801397519) (5714047042/130850721,394967110642001/1496801397519) # # a-invariants: (1, -1, 0, -25, -39) # Cremona label: 370a2 # (-2,1) (6,-3) (-13/4,13/8) (-3,0) (8,11) (-20/9,-7/27) (43,256) (8,-19) (-3,3) (-20/9,67/27) (43,-299) (-1303/529,-6383/12167) (-332/121,4241/1331) (960/49,24723/343) (103/9,-1040/27) (960/49,-31443/343) (103/9,731/27) (-332/121,-589/1331) (-1303/529,36352/12167) (167078/961,-70707109/29791) (519493/80656,63785969/22906304) (-34761/16900,635127/2197000) (-34761/16900,3883803/2197000) (-433634/136161,122352713/50243409) (519493/80656,-211321981/22906304) (167078/961,65527691/29791) (-433634/136161,37658233/50243409) (182277463/28227969,-1403194966160/149975199297) (182277463/28227969,434754805241/149975199297) (7805861723096648641/178360838225294400,-23120215280538240060087003451/75326754682711546327872000) (7805861723096648641/178360838225294400,19823582247449685404428592371/75326754682711546327872000) # # a-invariants: (1, -1, 0, -395, -2925) # Cremona label: 370a3 # (-45/4,45/8) (45,-285) (-101/9,155/27) (-101/9,148/27) (45,240) (11041/441,338584/9261) (-717345/64009,89800980/16194277) (-717345/64009,91687305/16194277) (11041/441,-570445/9261) (-25868232521/2301120900,631874164807943/110384769573000) (13510013445/77510416,-1615691080805265/682401702464) (13510013445/77510416,1496748922435485/682401702464) (-25868232521/2301120900,609024949224427/110384769573000) # # a-invariants: (1, -1, 0, 25, -209) # Cremona label: 370a4 # (19/4,-19/8) (7,13) (385/9,-8107/27) (385/9,6952/27) (7,-20) (495835/25921,309100196/4173281) (11653/1089,1051531/35937) (495835/25921,-388929631/4173281) (11653/1089,-1436080/35937) (2822694679/16240900,144014588675173/65450827000) (57723905701/10982201616,-10905816589422733/1150890800550336) (2822694679/16240900,-155390048231543/65450827000) (57723905701/10982201616,4856582167580737/1150890800550336) # # a-invariants: (1, 1, 0, 13, -19) # Cremona label: 370b1 # # # a-invariants: (1, 0, 1, -19, 342) # Cremona label: 370c1 # (0,18) (0,-19) # # a-invariants: (1, 0, 1, 166, -9204) # Cremona label: 370c2 # # # a-invariants: (1, 0, 1, -54, 146) # Cremona label: 370c3 # (4,-2) (4,-3) # # a-invariants: (1, 0, 0, -75, -143) # Cremona label: 370d1 # (14,33) (-2,1) (-6,-7) (-6,13) (14,-47) # # a-invariants: (1, 0, 0, 245, -975) # Cremona label: 370d2 # (10,-55) (50,-395) (15/4,-15/8) (50,345) (10,45) # # a-invariants: (1, 0, 0, -5275, -147903) # Cremona label: 370d3 # (-42,21) # # a-invariants: (1, 0, 0, -5255, -149075) # Cremona label: 370d4 # (335/4,-335/8) # # a-invariants: (1, 1, 0, -35, -98) # Cremona label: 371a1 # (14,-56) (14,42) (27/4,-71/8) (27/4,17/8) (29022/841,4534306/24389) (29022/841,-5375944/24389) (3141713/30976,-5869645137/5451776) (3141713/30976,5316703649/5451776) # # a-invariants: (0, 0, 1, -31, -67) # Cremona label: 371b1 # # # a-invariants: (0, -1, 0, -6, 9) # Cremona label: 372a1 # (0,3) (0,-3) (2,-1) (2,1) (3,3) (3,-3) (-2,-3) (-2,3) (12,-39) (12,39) (5/4,-11/8) (5/4,11/8) (36/25,-141/125) (36/25,141/125) (70/9,521/27) (70/9,-521/27) (-117/49,-687/343) (-117/49,687/343) (602/169,-9859/2197) (602/169,9859/2197) (3432/1849,-71679/79507) (3432/1849,71679/79507) (817/1936,214911/85184) (817/1936,-214911/85184) (62040/361,15406233/6859) (62040/361,-15406233/6859) (-27094/55225,-44172229/12977875) (-27094/55225,44172229/12977875) (1101915/508369,440985129/362467097) (1101915/508369,-440985129/362467097) # # a-invariants: (0, 1, 0, -9, 12) # Cremona label: 372b1 # (-4,0) # # a-invariants: (0, 1, 0, -164, 756) # Cremona label: 372b2 # (7,0) # # a-invariants: (0, 1, 0, -3054, -69327) # Cremona label: 372c1 # (96,729) (96,-729) # # a-invariants: (0, 1, 0, -250914, -48460347) # Cremona label: 372c2 # # # a-invariants: (0, 1, 0, -2, 9) # Cremona label: 372d1 # (-2,-3) (-2,3) (4,-9) (4,9) (1,-3) (1,3) (0,-3) (0,3) (10,-33) (10,33) (-11/4,-9/8) (-11/4,9/8) (34,-201) (34,201) (-8/9,89/27) (-8/9,-89/27) (49/25,507/125) (49/25,-507/125) (268/121,6003/1331) (268/121,-6003/1331) (-314/289,16347/4913) (-314/289,-16347/4913) (801/16,22887/64) (801/16,-22887/64) (-6410/2401,183723/117649) (-6410/2401,-183723/117649) (37180/4489,7544331/300763) (37180/4489,-7544331/300763) (-6206411/2856100,13486494663/4826809000) (-6206411/2856100,-13486494663/4826809000) (-97773264/53831569,-1245212036763/394962221753) (-97773264/53831569,1245212036763/394962221753) # # a-invariants: (0, 1, 1, -2, -2) # Cremona label: 373a1 # (-1,0) (-1,-1) (2,2) (2,-3) (-14/9,-17/27) (-14/9,-10/27) (71/25,544/125) (71/25,-669/125) (-919/1024,-28085/32768) (-919/1024,-4683/32768) (31207/441,5545952/9261) (31207/441,-5555213/9261) (-1105486/978121,-1051131215/967361669) (-1105486/978121,83769546/967361669) # # a-invariants: (1, -1, 0, -32, 0) # Cremona label: 374a1 # (0,0) (-1,-5) (32,160) (32,-192) (-1,6) (9,15) (9,-24) (-32/9,-160/27) (-32/9,256/27) (-529/100,3151/1000) (3200/529,-43840/12167) (-529/100,2139/1000) (3200/529,-29760/12167) (12769/1521,726025/59319) (12769/1521,-1224016/59319) (2973629961/846400,160769626337799/778688000) (2973629961/846400,-163505365901919/778688000) # # a-invariants: (1, -1, 0, 128, -96) # Cremona label: 374a2 # (3/4,-3/8) (5,23) (31,-197) (5,-28) (31,166) (4755/169,317754/2197) (49/9,661/27) (49/9,-808/27) (4755/169,-379569/2197) (40159/52900,8578217/12167000) (224837/16,-107057779/64) (40159/52900,-17814787/12167000) (224837/16,106158431/64) # # a-invariants: (1, -1, 0, -8, 11) # Cremona label: 377a1 # (2,-1) (7/4,-9/8) (-2,-3) (7/4,-5/8) (-2,5) (514/225,-6743/3375) (353/64,-6827/512) (514/225,-967/3375) (353/64,4003/512) (230398/231361,146045037/111284641) (230398/231361,-256866475/111284641) (17177927041/7506489600,-1307039032470809/650362258944000) (11836385282/2164947841,-1323507378465329/100732858093889) (17177927041/7506489600,-181256566361431/650362258944000) (11836385282/2164947841,772772207679151/100732858093889) # # a-invariants: (1, -1, 0, -13, 0) # Cremona label: 377a2 # (4,-2) (0,0) (-13/4,13/8) (-9/4,-21/8) (325/16,5005/64) (52/9,-338/27) (-16/25,388/125) (52/9,182/27) (325/16,-6305/64) (-16/25,-308/125) (-9/4,39/8) (-336973/521284,1174133233/376367048) (-187200/83521,-63618360/24137569) (83521/14400,11785709/1728000) (-336973/521284,-930838727/376367048) (521284/25921,321101558/4173281) (-187200/83521,117719160/24137569) (83521/14400,-21808229/1728000) (521284/25921,-405028282/4173281) (93536702175176628481/16251158453008953600,-813504891225807467701065755159/65512849139827044081993216000) (93536702175176628481/16251158453008953600,436432950394125612152295973799/65512849139827044081993216000) # # a-invariants: (1, -1, 0, -158, -725) # Cremona label: 377a3 # (-29/4,29/8) (22,67) (-62/9,67/27) (-62/9,119/27) (22,-89) (3181/144,116959/1728) (-689/100,2479/1000) (3181/144,-155131/1728) (-689/100,4411/1000) (3013942,-5233923173) (3013942,5230909231) (8178387841/373262400,478274483630651/7211429568000) (-299881330589/43538160964,22566038755781921/9084585590426312) (-299881330589/43538160964,40006599922257641/9084585590426312) (8178387841/373262400,-636280936718771/7211429568000) # # a-invariants: (1, -1, 0, 52, -39) # Cremona label: 377a4 # (8,-33) (8,25) (3/4,-3/8) (127/36,2509/216) (752/529,-81931/12167) (7869/400,-807837/8000) (3872/49,-254339/343) (127/36,-3271/216) (3872/49,227235/343) (7869/400,650457/8000) (752/529,64635/12167) (4280077441/1202702400,-636330158335301/41709719232000) (4280077441/1202702400,487897072681421/41709719232000) (263002331523/13512202564,125752033405408257/1570685450444488) (263002331523/13512202564,-156323950426304823/1570685450444488) # # a-invariants: (1, -1, 1, 10, 5) # Cremona label: 378a1 # (1,-5) (1,3) # # a-invariants: (1, -1, 1, -110, -539) # Cremona label: 378a2 # (19,53) (19,-73) # # a-invariants: (1, -1, 1, -9560, -357371) # Cremona label: 378a3 # # # a-invariants: (1, -1, 0, -12, 24) # Cremona label: 378b1 # (1,-4) (1,3) # # a-invariants: (1, -1, 0, 93, -235) # Cremona label: 378b2 # # # a-invariants: (1, -1, 0, -1062, 13590) # Cremona label: 378b3 # (19,-9) (19,-10) # # a-invariants: (1, -1, 1, -2, -107) # Cremona label: 378c1 # # # a-invariants: (1, -1, 0, 0, 4) # Cremona label: 378d1 # (2,2) (2,-4) (-1,2) (-1,-1) (0,2) (0,-2) (5,-13) (5,8) (14,-58) (14,44) (3/4,-19/8) (3/4,13/8) (-34/25,46/125) (-34/25,124/125) (53/49,533/343) (53/49,-904/343) (256/9,-4426/27) (256/9,3658/27) (1055/289,23119/4913) (1055/289,-41054/4913) (-910/2809,-269414/148877) (-910/2809,317644/148877) (-2991/4096,-374009/262144) (-2991/4096,565433/262144) (639551/4225,489407554/274625) (639551/4225,-530978369/274625) (1072268515/147039876,-39949216774493/1783005536376) (1072268515/147039876,26946888761603/1783005536376) # # a-invariants: (1, -1, 1, -11, -37) # Cremona label: 378e1 # (7,10) (7,-18) # # a-invariants: (1, -1, 1, -1271, -17117) # Cremona label: 378e2 # # # a-invariants: (1, -1, 1, 94, 929) # Cremona label: 378e3 # (1,31) (1,-33) # # a-invariants: (1, -1, 0, -141, 681) # Cremona label: 378f1 # (7,-4) (7,-3) (10,-19) (64/9,-95/27) (4,11) (10,9) (64/9,-97/27) (4,-15) (1225/169,-9348/2197) (-119/9,-95/27) (-119/9,452/27) (1225/169,-6577/2197) (1411/196,-8765/2744) (1411/196,-10989/2744) (2142202/301401,-594461051/165469149) (220672/43681,57812413/9129329) (282916/24025,65373249/3723875) (282916/24025,-109225229/3723875) (220672/43681,-103932861/9129329) (2142202/301401,-581607847/165469149) # # a-invariants: (1, -1, 0, -96, 1088) # Cremona label: 378f2 # (1,-32) (1,31) (64,472) (64,-536) (-8,-32) (-8,40) (8,24) (8,-32) (-13,10) (67/4,437/8) (67/4,-571/8) (-13,3) (19,67) (19,-86) (2104/25,-100768/125) (2104/25,90248/125) (64/9,-824/27) (-824/121,-45112/1331) (-824/121,54176/1331) (64/9,632/27) (3809,233152) (3809,-236961) (577/289,-152401/4913) (-47/1024,1083785/32768) (-47/1024,-1082281/32768) (577/289,142592/4913) (-3808349/298116,-645820267/162771336) (-3808349/298116,2725178821/162771336) (3142539824965696/316301067371025,153545509104247080374104/5625368619538910826375) (3142539824965696/316301067371025,-209435124222987363708184/5625368619538910826375) # # a-invariants: (1, -1, 0, 849, -25939) # Cremona label: 378f3 # (62,-543) (62,481) (83/4,-219/8) (83/4,53/8) (2245006/27225,-3663911491/4492125) (2245006/27225,3293485501/4492125) (1127205617/295936,37535441976889/160989184) (1127205617/295936,-38148641832537/160989184) # # a-invariants: (1, -1, 1, 3967, 38449) # Cremona label: 378g1 # # # a-invariants: (1, -1, 0, 441, -1571) # Cremona label: 378h1 # # # a-invariants: (0, 0, 0, -8, -3) # Cremona label: 380a1 # (3,0) (-1,2) (-7/4,-19/8) (-1,-2) (-7/4,19/8) (331/9,-6004/27) (57/16,-237/64) (57/16,237/64) (331/9,6004/27) (-14551/28900,4661707/4913000) (-14551/28900,-4661707/4913000) # # a-invariants: (0, 0, 0, -103, -402) # Cremona label: 380a2 # (-6,0) (-23/4,3/8) (14,-30) (-23/4,-3/8) (14,30) (5377/144,-377857/1728) (5377/144,377857/1728) # # a-invariants: (0, -1, 0, -921, 10346) # Cremona label: 380b1 # (14,0) # # a-invariants: (0, -1, 0, 884, 44280) # Cremona label: 380b2 # (-27,0) # # a-invariants: (0, 1, 1, -11, -16) # Cremona label: 381a1 # (-2,-2) (-2,1) (4,4) (4,-5) (-11/4,-13/8) (-11/4,5/8) (16,64) (16,-65) (-14/9,-10/27) (-14/9,-17/27) (193/16,2647/64) (193/16,-2711/64) (-1766/625,-21398/15625) (-1766/625,5773/15625) (8152/1849,468661/79507) (8152/1849,-548168/79507) (308956/441,171845479/9261) (308956/441,-171854740/9261) (-8141114/3845521,-15767754991/7541066681) (-8141114/3845521,8226688310/7541066681) (189882169/51036736,891041619955/364606441984) (189882169/51036736,-1255648061939/364606441984) # # a-invariants: (0, 1, 1, -4, -5) # Cremona label: 381b1 # # # a-invariants: (0, 1, 0, -3, -3) # Cremona label: 384a1 # (-1,0) # # a-invariants: (0, 1, 0, 7, -9) # Cremona label: 384a2 # (1,0) # # a-invariants: (0, -1, 0, 2, -2) # Cremona label: 384b1 # (1,0) # # a-invariants: (0, -1, 0, -13, -11) # Cremona label: 384b2 # (-1,0) # # a-invariants: (0, 1, 0, 2, 2) # Cremona label: 384c1 # (-1,0) # # a-invariants: (0, 1, 0, -13, 11) # Cremona label: 384c2 # (1,0) # # a-invariants: (0, -1, 0, -3, 3) # Cremona label: 384d1 # (1,0) (2,-1) (-1,2) (-1,-2) (2,1) (13/4,33/8) (13/4,-33/8) (1/9,44/27) (1/9,-44/27) (239/289,-3110/4913) (314/25,-5287/125) (314/25,5287/125) (239/289,3110/4913) (30193/17424,102943/2299968) (30193/17424,-102943/2299968) (8712362/866761,24038296841/806954491) (8712362/866761,-24038296841/806954491) # # a-invariants: (0, -1, 0, 7, 9) # Cremona label: 384d2 # (-1,0) (5,12) (1,4) (5,-12) (1,-4) (0,3) (0,-3) (11,-36) (11,36) (49,-340) (-19/25,-204/125) (-19/25,204/125) (49,340) (85/36,-1243/216) (311/121,-8136/1331) (85/36,1243/216) (311/121,8136/1331) (14045/361,1646988/6859) (-1679/2401,212876/117649) (-1679/2401,-212876/117649) (14045/361,-1646988/6859) (89496/7225,-26363781/614125) (89496/7225,26363781/614125) (9023765/7890481,91903913268/22164361129) (9023765/7890481,-91903913268/22164361129) (194290296821/225563254225,-413888527369018956/107127884145350375) (194290296821/225563254225,413888527369018956/107127884145350375) # # a-invariants: (0, 1, 0, -6, -18) # Cremona label: 384e1 # (3,0) # # a-invariants: (0, 1, 0, -141, -693) # Cremona label: 384e2 # (-7,0) # # a-invariants: (0, -1, 0, -6, 18) # Cremona label: 384f1 # (-3,0) # # a-invariants: (0, -1, 0, -141, 693) # Cremona label: 384f2 # (7,0) # # a-invariants: (0, -1, 0, -35, -69) # Cremona label: 384g1 # (-3,0) # # a-invariants: (0, -1, 0, -25, -119) # Cremona label: 384g2 # (7,0) # # a-invariants: (0, 1, 0, -35, 69) # Cremona label: 384h1 # (3,0) (1,-6) (4,3) (1,6) (4,-3) (-5,12) (13/4,3/8) (-5,-12) (13/4,-3/8) (25/9,26/27) (12,39) (25/9,-26/27) (12,-39) (169/16,-2013/64) (169/16,2013/64) (331/121,-1464/1331) (331/121,1464/1331) (-1583/289,-55230/4913) (3964/1225,13413/42875) (3964/1225,-13413/42875) (-1583/289,55230/4913) (25141/6084,-1644479/474552) (25141/6084,1644479/474552) (3768865/1256641,-57927018/1408694561) (3768865/1256641,57927018/1408694561) (1258228/529,-1411656243/12167) (1258228/529,1411656243/12167) (111958873/28815424,402238491267/154681196032) (111958873/28815424,-402238491267/154681196032) (-2748819191/611226729,-188541991097902/15111358421067) (-2748819191/611226729,188541991097902/15111358421067) # # a-invariants: (0, 1, 0, -25, 119) # Cremona label: 384h2 # (-7,0) (-1,-12) (-1,12) (11,-36) (11,36) (5,12) (2,-9) (2,9) (5,-12) (47,324) (-5,-12) (-5,12) (47,-324) (41,264) (-19/4,99/8) (-19/4,-99/8) (41,-264) (119/25,-1428/125) (107/49,3060/343) (119/25,1428/125) (107/49,-3060/343) (106/9,-1079/27) (-211/169,26892/2197) (106/9,1079/27) (-211/169,-26892/2197) (9515,928188) (-3697/529,-13452/12167) (-3697/529,13452/12167) (9515,-928188) (-2815/3721,-2666928/226981) (-2815/3721,2666928/226981) (19937/1936,2772999/85184) (19937/1936,-2772999/85184) (-1855654/354025,-2433884319/210644875) (-1855654/354025,2433884319/210644875) (1581140332466/664763089,-1988593176313822329/17139586723687) (1581140332466/664763089,1988593176313822329/17139586723687) # # a-invariants: (1, -1, 1, -37, 124) # Cremona label: 385a1 # (4,-8) (-7,3) (4,3) (2,-9) (37,201) (2,6) (58/9,202/27) (58/9,-403/27) (37,-239) (-17/4,-97/8) (-17/4,123/8) (-68/49,-4416/343) (1/9,-311/27) (641/64,-16251/512) (1/9,281/27) (-68/49,4549/343) (364/25,-7248/125) (641/64,10611/512) (364/25,5303/125) (-169718/29241,65703626/5000211) (27218/289,4229718/4913) (-169718/29241,-41682059/5000211) (27218/289,-4697337/4913) (10467793/3154176,-43490700977/5601816576) (10467793/3154176,19298084033/5601816576) (-149795890702/59864876929,215655204683064567/14647319032849217) (-149795890702/59864876929,-193651513750183338/14647319032849217) # # a-invariants: (1, -1, 1, -642, 6416) # Cremona label: 385a2 # (-29,14) (59/4,-63/8) (15,-8) (6,-56) (26,69) (16,-16) (6,49) (124/9,-7/27) (124/9,-392/27) (26,-96) (16,-1) (159/4,-1813/8) (159/4,1487/8) (139/9,-322/27) (229/16,-721/64) (-1,84) (229/16,-259/64) (-1,-84) (139/9,-122/27) (5426/361,-59184/6859) (-1964/81,70651/729) (376,7079) (5426/361,-50769/6859) (4254/289,-41608/4913) (-1964/81,-53704/729) (376,-7456) (4254/289,-35623/4913) (9865/576,85793/13824) (24711/1225,1138304/42875) (55571/5476,-14239239/405224) (55571/5476,9721761/405224) (24711/1225,-2046064/42875) (9865/576,-336377/13824) (6390376/421201,-2699420929/273359449) (6390376/421201,-1721292544/273359449) (-1589106/142129,-5620662943/53582633) (-1589106/142129,6166173272/53582633) (805987579/8450649,-23238572333498/24566036643) (805987579/8450649,20871000404702/24566036643) # # a-invariants: (1, -1, 1, -697, 5294) # Cremona label: 385a3 # (-117/4,113/8) (2,-64) (32,106) (32,-139) (2,61) (43/9,-1303/27) (27,61) (27,-89) (43/9,1147/27) (1502,57436) (1502,-58939) (-28,-34) (-28,61) (1447/36,-48199/216) (-27/16,5167/64) (-27/16,-5123/64) (1447/36,39301/216) (83462/3481,-11626756/205379) (812/121,-44809/1331) (812/121,34546/1331) (83462/3481,6497119/205379) (-574157/23409,345428747/3581577) (135747/361,-51136601/6859) (135747/361,48550549/6859) (-574157/23409,-261164303/3581577) (15734161/705600,-19864781861/592704000) (15734161/705600,6055382621/592704000) # # a-invariants: (1, -1, 1, -10267, 402966) # Cremona label: 385a4 # (235/4,-239/8) (61,-61) (529/9,-797/27) (529/9,-817/27) (61,-1) (271/4,703/8) (8461/144,-51467/1728) (271/4,-1253/8) (8461/144,-51793/1728) (6129349/104329,-1006593107/33698267) (30841/81,-5374979/729) (30841/81,5096681/729) (6129349/104329,-1006884887/33698267) (397926811/6708100,-655529441461/17373979000) (397926811/6708100,-392474978029/17373979000) # # a-invariants: (1, 0, 0, 0, 7) # Cremona label: 385b1 # (-2,1) (-1,3) (-1,-2) (9,-32) (9,23) (2,3) (2,-5) (3/4,-25/8) (3/4,19/8) (31/9,146/27) (1/49,-911/343) (1/49,904/343) (31/9,-239/27) (654/25,-18443/125) (-103/64,1367/512) (654/25,15173/125) (-103/64,-543/512) (9071/169,-924929/2197) (9071/169,807006/2197) (-15518/53361,-30812195/12326391) (-15518/53361,34396853/12326391) (9174479/8473921,58826656093/24667584031) (9174479/8473921,-85533564462/24667584031) # # a-invariants: (1, 0, 0, -55, 150) # Cremona label: 385b2 # (15/4,-15/8) (-5,-15) (5,0) (5,-5) (-5,20) (2,-8) (10,-30) (2,6) (10,20) (25/9,-160/27) (25/9,85/27) (15,-60) (15,45) (19/4,-9/8) (19/4,-29/8) (-115/16,-645/64) (-115/16,1105/64) (625/169,-2365/2197) (215,-3260) (215,3045) (625/169,-5760/2197) (-318/121,-20448/1331) (2410/441,16220/9261) (2410/441,-66830/9261) (-318/121,23946/1331) (12605/1681,648800/68921) (12605/1681,-1165605/68921) (4195/5041,3518220/357911) (4195/5041,-3816065/357911) (42481/1600,-9335941/64000) (42481/1600,7636701/64000) (3284205/707281,-1587640800/594823321) (3284205/707281,-1174375605/594823321) # # a-invariants: (0, 0, 1, -174, -887) # Cremona label: 387a1 # # # a-invariants: (1, -1, 0, -15, -46) # Cremona label: 387b1 # (10,-32) (10,22) (23/4,23/8) (23/4,-69/8) (12826/289,-1543288/4913) (12826/289,1325246/4913) (1097729/33856,-1228606629/6229504) (1097729/33856,1026624493/6229504) # # a-invariants: (1, -1, 1, -2, 2) # Cremona label: 387c1 # (0,-2) (0,1) (1,-2) (1,0) (6,-17) (6,10) (-5/4,9/8) (-5/4,-7/8) (54/25,98/125) (54/25,-493/125) (145/81,-2258/729) (145/81,224/729) (-864/841,34085/24389) (-864/841,-33418/24389) (9889/1024,-1112065/32768) (9889/1024,762849/32768) (94560/116281,-77002714/39651821) (94560/116281,5105933/39651821) # # a-invariants: (1, -1, 1, -221, 1316) # Cremona label: 387d1 # (9,-5) (6,-17) (6,10) # # a-invariants: (1, -1, 1, -266, 776) # Cremona label: 387d2 # (3,-2) (15,-8) (-69/4,65/8) # # a-invariants: (1, -1, 1, -2201, -38698) # Cremona label: 387d3 # (-117/4,113/8) # # a-invariants: (1, -1, 1, 949, 5150) # Cremona label: 387d4 # (-21/4,17/8) # # a-invariants: (0, 0, 1, -3, -9) # Cremona label: 387e1 # # # a-invariants: (0, 1, 1, -2, 0) # Cremona label: 389a1 # (0,0) (0,-1) (1,0) (1,-1) (-1,-2) (-1,1) (-2,0) (-2,-1) (3,5) (3,-6) (4,-9) (4,8) (6,-16) (6,15) (-3/4,-15/8) (-3/4,7/8) (5/4,5/8) (5/4,-13/8) (1/9,-8/27) (1/9,-19/27) (10/9,-35/27) (10/9,8/27) (-11/9,28/27) (-11/9,-55/27) (1/16,-9/64) (1/16,-55/64) (39,-247) (39,246) (-14/25,-216/125) (-14/25,91/125) (-51/25,-57/125) (-51/25,-68/125) (-5/49,-405/343) (-5/49,62/343) (56/25,371/125) (56/25,-496/125) (133,1539) (133,-1540) (-95/64,-1007/512) (-95/64,495/512) (114/121,-1064/1331) (114/121,-267/1331) (188,2584) (188,-2585) (-36/169,-2952/2197) (-36/169,755/2197) (445/49,-9955/343) (445/49,9612/343) (26/361,-5720/6859) (26/361,-1139/6859) (315/289,1197/4913) (315/289,-6110/4913) (328/361,-4059/6859) (328/361,-2800/6859) (-1364/729,9269/19683) (-1364/729,-28952/19683) (1431/961,-64665/29791) (1431/961,34874/29791) (1809/1936,-65151/85184) (1809/1936,-20033/85184) (-185/2209,-119510/103823) (-185/2209,15687/103823) (2353/1296,89999/46656) (2353/1296,-136655/46656) (2869/676,-171989/17576) (2869/676,154413/17576) (-2739/1444,-77033/54872) (-2739/1444,22161/54872) (-2869/1681,52850/68921) (-2869/1681,-121771/68921) (-1023/2809,-227912/148877) (-1023/2809,79035/148877) (-3128/3969,224848/250047) (-3128/3969,-474895/250047) (-5676/4489,-612040/300763) (-5676/4489,311277/300763) (18550/1089,2573200/35937) (18550/1089,-2609137/35937) (47503/16641,9862190/2146689) (47503/16641,-12008879/2146689) (80041/34225,20383336/6331625) (80041/34225,-26714961/6331625) (11938/89401,-11866184/26730899) (11938/89401,-14864715/26730899) (143221/8836,-56064555/830584) (143221/8836,55233971/830584) (16269/122500,-18605103/42875000) (16269/122500,-24269897/42875000) (189441/33856,-90230049/6229504) (189441/33856,84000545/6229504) (717401/707281,-619796456/594823321) (717401/707281,24973135/594823321) (-221366/978121,-1317108221/967361669) (-221366/978121,349746552/967361669) (2319450/243049,-3736242957/119823157) (2319450/243049,3616419800/119823157) (16033326/3025,64206030624/166375) (16033326/3025,-64206196999/166375) (17096371/18792225,-49319905994/81464295375) (17096371/18792225,-32144389381/81464295375) (-7190591/20647936,-141926775201/93824221184) (-7190591/20647936,48102554017/93824221184) (-23758163/43917129,206900862065/291038813883) (-23758163/43917129,-497939675948/291038813883) # # a-invariants: (1, 1, 0, -13, 13) # Cremona label: 390a1 # (2,-1) (1,-2) (-2,-5) (1,1) (-2,7) (6,11) (3,2) (6,-17) (3,-5) (34/25,-37/125) (-17/4,47/8) (-17/4,-13/8) (34/25,-133/125) (214/9,-3499/27) (107/49,-715/343) (214/9,2857/27) (107/49,-34/343) (1/841,-87898/24389) (1/841,87869/24389) (-2/1681,-248605/68921) (-2/1681,248687/68921) (76338/34969,-13614563/6539203) (38169/1600,6806567/64000) (76338/34969,-660643/6539203) (38169/1600,-8333327/64000) (11547507491526/1256641,39233835713656103531/1408694561) (11547507491526/1256641,-39246780469554104177/1408694561) # # a-invariants: (1, 1, 0, -33, -63) # Cremona label: 390a2 # (-2,1) (6,-3) (-21/4,21/8) (24,-129) (-3,6) (-4,-3) (-4,7) (11,27) (24,105) (11,-38) (-3,-3) (7,-14) (7,7) (-44/9,-25/27) (96,897) (-111/49,-489/343) (-111/49,1266/343) (96,-993) (-44/9,157/27) (-489/100,5811/1000) (2022/289,34293/4913) (-489/100,-921/1000) (1541/16,57693/64) (1541/16,-63857/64) (2022/289,-68667/4913) (-274/121,4907/1331) (-274/121,-1893/1331) (10567/441,969907/9261) (10567/441,-1191814/9261) (36756744,222827988345) (-2827443/1413721,1688123454/1680914269) (-6597364/1256641,3706317927/1408694561) (-2827443/1413721,1673706273/1680914269) (36756744,-222864745089) (-6597364/1256641,3689327117/1408694561) (1344971761/55950400,44056700306101/418508992000) (1344971761/55950400,-54117089078381/418508992000) # # a-invariants: (1, 1, 0, -483, -4293) # Cremona label: 390a3 # (-53/4,53/8) (29,70) (-13,7) (29,-99) (-13,6) (97,-983) (-5801/441,68431/9261) (-5801/441,53390/9261) (97,886) (449957/4624,279994317/314432) (-159169/12100,7674149/1331000) (-159169/12100,9834441/1331000) (449957/4624,-310591393/314432) (-23539151457373/1776539771161,15691427977174254243/2367894788247590909) (-23539151457373/1776539771161,15683177286663038894/2367894788247590909) # # a-invariants: (1, 1, 0, 97, -297) # Cremona label: 390a4 # (11/4,-11/8) (23,-133) (23,110) (9,-42) (9,33) (37/9,-430/27) (37/9,319/27) (4691/49,-341431/343) (4691/49,308594/343) (185949/1936,-85200003/85184) (185949/1936,77018247/85184) (118679/28900,57929443/4913000) (118679/28900,-78104873/4913000) (51963780884423/1413721,374554745141683403990/1680914269) (51963780884423/1413721,-374616530077154982937/1680914269) # # a-invariants: (1, 1, 1, 15, 15) # Cremona label: 390b1 # (-1,0) (3,8) (3,-12) # # a-invariants: (1, 1, 1, -65, 47) # Cremona label: 390b2 # (7,-4) (17,-74) (17,56) (-9,4) (-3,-14) (-3,16) (3/4,-7/8) # # a-invariants: (1, 1, 1, -565, -5353) # Cremona label: 390b3 # (-61/4,57/8) (27,-14) (-13,6) # # a-invariants: (1, 1, 1, -845, 9095) # Cremona label: 390b4 # (67/4,-71/8) (23,38) (23,-62) # # a-invariants: (1, 1, 1, -9015, -333213) # Cremona label: 390b5 # (-221/4,217/8) # # a-invariants: (1, 1, 1, -115, -13093) # Cremona label: 390b6 # (99/4,-103/8) # # a-invariants: (1, 0, 0, -6, 36) # Cremona label: 390c1 # (-4,2) (6,-18) (0,-6) (6,12) (0,6) # # a-invariants: (1, 0, 0, -206, 1116) # Cremona label: 390c2 # (-2,40) (10,-14) (-2,-38) (31/4,-31/8) (10,4) # # a-invariants: (1, 0, 0, 54, -960) # Cremona label: 390c3 # (8,-4) # # a-invariants: (1, 0, 0, -1196, -15210) # Cremona label: 390c4 # (-65/4,65/8) # # a-invariants: (1, 0, 1, 3997, 3998) # Cremona label: 390d1 # (-1,0) (24,325) (159,-2240) (24,-350) (159,2080) # # a-invariants: (1, 0, 1, -16003, 27998) # Cremona label: 390d2 # (-86,-835) (-86,920) (184,-1915) (184,1730) (7/4,-11/8) # # a-invariants: (1, 0, 1, -53378, -5124652) # Cremona label: 390d3 # (269,-135) # # a-invariants: (1, 0, 1, -872578, -313799212) # Cremona label: 390d4 # (-2153/4,2149/8) # # a-invariants: (1, 1, 1, 4, -7) # Cremona label: 390e1 # (1,-1) # # a-invariants: (1, 1, 1, -46, -127) # Cremona label: 390e2 # (-13/4,9/8) # # a-invariants: (1, 1, 0, -52, -176) # Cremona label: 390f1 # (8,-4) # # a-invariants: (1, 1, 0, -852, -9936) # Cremona label: 390f2 # (-69/4,69/8) # # a-invariants: (1, 0, 1, -289, 3092) # Cremona label: 390g1 # (-21,10) # # a-invariants: (1, 0, 1, -5409, 152596) # Cremona label: 390g2 # (43,-22) (167/4,-171/8) (-85,42) # # a-invariants: (1, 0, 1, -6209, 104276) # Cremona label: 390g3 # (-345/4,341/8) # # a-invariants: (1, 0, 1, -86529, 9789652) # Cremona label: 390g4 # (679/4,-683/8) # # a-invariants: (0, 0, 0, 49, -686) # Cremona label: 392a1 # (21,98) (7,0) (21,-98) (9,22) (70,588) (70,-588) (105,1078) (105,-1078) (91/9,784/27) (91/9,-784/27) (9,-22) (52269/25,-11950022/125) (26397/3721,-979510/226981) (9961/576,-1009547/13824) (3151/121,-179808/1331) (3151/121,179808/1331) (26397/3721,979510/226981) (52269/25,11950022/125) (9961/576,1009547/13824) # # a-invariants: (0, 0, 0, -931, -10290) # Cremona label: 392a2 # (-21,0) (-14,0) (35,0) (107,-1056) (-287/16,1617/64) (658/9,-15092/27) (-2037/121,32928/1331) (107,1056) (658/9,15092/27) (-2037/121,-32928/1331) (-287/16,-1617/64) (2532385/69696,1141958735/18399744) (194501699/93025,2712305504832/28372625) (2532385/69696,-1141958735/18399744) (194501699/93025,-2712305504832/28372625) # # a-invariants: (0, 0, 0, -14651, -682570) # Cremona label: 392a3 # (-70,0) (1306/9,-13420/27) (-135079/1936,44835/85184) (-135079/1936,-44835/85184) (1306/9,13420/27) (13564644064129/6483470400,-49873326571745933633/522049036608000) (13564644064129/6483470400,49873326571745933633/522049036608000) # # a-invariants: (0, 0, 0, -2891, 47334) # Cremona label: 392a4 # (42,0) (14,98) (14,-98) (-175/4,-2401/8) (-175/4,2401/8) (84154/1089,-19198396/35937) (84154/1089,19198396/35937) (1761/16,-65967/64) (1761/16,65967/64) (-70363090/2362369,1187822632486/3630961153) (-70363090/2362369,-1187822632486/3630961153) # # a-invariants: (0, 1, 0, -800, -8359) # Cremona label: 392b1 # # # a-invariants: (0, -1, 0, -16, 29) # Cremona label: 392c1 # (-2,7) (-2,-7) (5,7) (5,-7) (2,-1) (2,1) (13/4,-7/8) (13/4,7/8) (10/9,-91/27) (10/9,91/27) (13,-43) (13,43) (-106/25,-203/125) (-106/25,203/125) (353/16,-6377/64) (353/16,6377/64) (70/121,5893/1331) (70/121,-5893/1331) (5197/1521,-94661/59319) (5197/1521,94661/59319) (31325/7396,2792287/636056) (31325/7396,-2792287/636056) (4492501/21025,-9498123551/3048625) (4492501/21025,9498123551/3048625) # # a-invariants: (0, 1, 0, -16, 1392) # Cremona label: 392d1 # (-12,0) # # a-invariants: (0, 1, 0, -1976, 32752) # Cremona label: 392d2 # (23,0) # # a-invariants: (0, 0, 0, -343, -2401) # Cremona label: 392e1 # # # a-invariants: (0, 0, 0, -7, 7) # Cremona label: 392f1 # (1,-1) (1,1) (2,-1) (2,1) (-3,1) (-3,-1) (9/4,13/8) (9/4,-13/8) (29/25,-83/125) (29/25,83/125) (106,-1091) (106,1091) (337/441,-13411/9261) (337/441,13411/9261) (4993/2704,85567/140608) (4993/2704,-85567/140608) # # a-invariants: (1, -1, 1, -7, 14) # Cremona label: 395a1 # (-3,1) (2,1) (2,-4) # # a-invariants: (1, -1, 1, -132, 614) # Cremona label: 395a2 # (7,-4) (27/4,-31/8) (-13,6) # # a-invariants: (1, -1, 1, -157, 384) # Cremona label: 395a3 # (-53/4,49/8) # # a-invariants: (1, -1, 1, -2107, 37744) # Cremona label: 395a4 # (107/4,-111/8) # # a-invariants: (1, 1, 1, -40, -128) # Cremona label: 395b1 # (7,-4) # # a-invariants: (1, 1, 1, -665, -6878) # Cremona label: 395b2 # (-61/4,57/8) # # a-invariants: (0, -1, 1, -50, 156) # Cremona label: 395c1 # (0,-13) (5,2) (0,12) (5,-3) # # a-invariants: (0, -1, 1, 300, -5724) # Cremona label: 395c2 # # # a-invariants: (0, 0, 0, -696, -8215) # Cremona label: 396a1 # (31,0) # # a-invariants: (0, 0, 0, -11631, -482794) # Cremona label: 396a2 # (-62,0) # # a-invariants: (0, 0, 0, 24, 25) # Cremona label: 396b1 # (-1,0) (8,27) (2,-9) (8,-27) (2,9) (0,-5) (26,-135) (0,5) (26,135) (47,324) (47,-324) (-7/16,-243/64) (-7/16,243/64) (144/25,2353/125) (144/25,-2353/125) (506/169,-24435/2197) (506/169,24435/2197) (19832/49,-2793069/343) (19832/49,2793069/343) (-2062/2209,138663/103823) (-2062/2209,-138663/103823) (75959/64009,120265560/16194277) (75959/64009,-120265560/16194277) (58825/5184,-15651845/373248) (58825/5184,15651845/373248) (3421208/6145441,-94568997717/15234548239) (3421208/6145441,94568997717/15234548239) (53033459450400/524362808641,-386668734881908151525/379706316258398689) (53033459450400/524362808641,386668734881908151525/379706316258398689) # # a-invariants: (0, 0, 0, -111, 214) # Cremona label: 396b2 # (2,0) (35,-198) (35,198) (-1,-18) (-1,18) (11,-18) (11,18) (-9,22) (-9,-22) (-10,18) (41/4,-99/8) (41/4,99/8) (-10,-18) (-49/25,2574/125) (27,-130) (27,130) (-49/25,-2574/125) (95/49,-846/343) (95/49,846/343) (1619,65142) (1619,-65142) (-14/81,11132/729) (761/16,-20493/64) (-14/81,-11132/729) (761/16,20493/64) (-10729/1369,-1243386/50653) (54155/4489,-7553106/300763) (-10729/1369,1243386/50653) (54155/4489,7553106/300763) (41211/4225,2115166/274625) (41211/4225,-2115166/274625) (43816091/108241,-289937241378/35611289) (8498151/4844401,-52970007398/10662526601) (43816091/108241,289937241378/35611289) (8498151/4844401,52970007398/10662526601) (4831693979/70241161,-332001883790082/588691170341) (4831693979/70241161,332001883790082/588691170341) (4490923537/331822656,-208581433752185/6044481501696) (4490923537/331822656,208581433752185/6044481501696) # # a-invariants: (0, 0, 0, 24, 52) # Cremona label: 396c1 # # # a-invariants: (0, 0, 0, -696, 7108) # Cremona label: 396c2 # (12,22) (12,-22) # # a-invariants: (1, 1, 0, -6, 20) # Cremona label: 398a1 # (-4,2) # # a-invariants: (1, 1, 0, -166, 756) # Cremona label: 398a2 # (27/4,-27/8) # # a-invariants: (1, 1, 0, -210, -441) # Cremona label: 399a1 # (-14,7) (-10,-23) (287/4,4515/8) (287/4,-5089/8) (-10,33) (63025/3136,9287573/175616) (63025/3136,-12816973/175616) # # a-invariants: (1, 1, 0, -1925, 31458) # Cremona label: 399a2 # (107/4,-107/8) (-34,-226) (22,8) (22,-30) (-34,260) (25589/784,-1868005/21952) (25589/784,1151513/21952) (303/4,-4881/8) (303/4,4275/8) (321094/46225,1316582598/9938375) (321094/46225,-1385617808/9938375) # # a-invariants: (1, 1, 1, -13, -22) # Cremona label: 399b1 # (-3,1) (4,-6) (4,1) (-2,1) (-2,0) (33,-209) (33,175) (-101/36,419/216) (-101/36,-29/216) (6052/841,340194/24389) (6052/841,-540091/24389) (-2834/1225,-23941/42875) (-2834/1225,80256/42875) (1219153/147456,1035663719/56623104) (1219153/147456,-1560441575/56623104) # # a-invariants: (1, 1, 1, -48, 90) # Cremona label: 399b2 # (19/4,-23/8) (0,9) (-2,14) (-2,-13) (0,-10) (5,0) (5,-6) (133,1472) (133,-1606) (-114/25,2151/125) (64/49,-2353/343) (-114/25,-1706/125) (64/49,1562/343) (24073/4096,1082363/262144) (1195/36,-44941/216) (24073/4096,-2885179/262144) (1195/36,37555/216) (8120981/1030225,12956242326/1045678375) (8120981/1030225,-22244716416/1045678375) # # a-invariants: (1, 0, 0, -431, 3408) # Cremona label: 399c1 # (12,-6) # # a-invariants: (1, 0, 0, -466, 2813) # Cremona label: 399c2 # (-97/4,97/8) # # a-invariants: (0, 0, 0, -50, -125) # Cremona label: 400a1 # (-5,0) (15,-50) (15,50) (-15/4,25/8) (-15/4,-25/8) (-29/9,-44/27) (145/16,825/64) (-29/9,44/27) (145/16,-825/64) (-31815/6724,1310525/551368) (31815/361,-5655950/6859) (31815/361,5655950/6859) (-31815/6724,-1310525/551368) (2780881/69696,-4559348071/18399744) (-13904405/3129361,-17010569400/5535839609) (-13904405/3129361,17010569400/5535839609) (2780881/69696,4559348071/18399744) # # a-invariants: (0, 0, 0, -175, 750) # Cremona label: 400a2 # (5,0) (10,0) (-15,0) (1,24) (30,150) (65/4,375/8) (-35/9,-1000/27) (30,-150) (65/4,-375/8) (1,-24) (-35/9,1000/27) (-10195/841,-805200/24389) (1561/144,-19459/1728) (16185/3721,1914000/226981) (19210/121,-2653500/1331) (19210/121,2653500/1331) (-10195/841,805200/24389) (16185/3721,-1914000/226981) (1561/144,19459/1728) (214575665/2427364,-3109520948625/3781833112) (214575665/2427364,3109520948625/3781833112) (8823818857441/218103944256,24926829520405310639/101858031630660096) (8823818857441/218103944256,-24926829520405310639/101858031630660096) # # a-invariants: (0, 0, 0, -2675, 53250) # Cremona label: 400a3 # (35,-50) (30,0) (35,50) (265/9,-100/27) (-15,-300) (5,-200) (5,200) (-15,300) (265/9,100/27) (29,-8) (29,8) (129/4,-183/8) (3635/121,1450/1331) (370/9,-3050/27) (635,15950) (129/4,183/8) (370/9,3050/27) (3635/121,-1450/1331) (635,-15950) (68065/3969,-27865900/250047) (-6811/169,-679288/2197) (-6811/169,679288/2197) (68065/3969,27865900/250047) (16176481/535824,-1109431279/392223168) (16448430/101761,-63644490300/32461759) (16448430/101761,63644490300/32461759) (16176481/535824,1109431279/392223168) # # a-invariants: (0, 0, 0, 325, 4250) # Cremona label: 400a4 # (-10,0) (115,-1250) (-5,-50) (-5,50) (115,1250) (26,174) (265/36,18125/216) (265/36,-18125/216) (26,-174) (29995/961,-6305650/29791) (29995/961,6305650/29791) (71187590/450241,-604841617500/302111711) (-760799/121104,-1865971151/42144192) (71187590/450241,604841617500/302111711) (-760799/121104,1865971151/42144192) # # a-invariants: (0, 1, 0, -48, -172) # Cremona label: 400b1 # # # a-invariants: (0, 1, 0, 352, 1268) # Cremona label: 400b2 # # # a-invariants: (0, 1, 0, -208, 13588) # Cremona label: 400b3 # # # a-invariants: (0, 1, 0, -50208, 4313588) # Cremona label: 400b4 # # # a-invariants: (0, -1, 0, -8, 112) # Cremona label: 400c1 # (12,40) (12,-40) (2,10) (2,-10) (-4,8) (-4,-8) (-3,10) (-3,-10) (28/9,280/27) (28/9,-280/27) (18,74) (18,-74) (332,6040) (332,-6040) (137/16,-1565/64) (137/16,1565/64) (108/121,13624/1331) (108/121,-13624/1331) (-2078/441,44290/9261) (-2078/441,-44290/9261) (-8292/4489,-3254120/300763) (-8292/4489,3254120/300763) (5909/1369,597734/50653) (5909/1369,-597734/50653) (6805036/1071225,18458856584/1108717875) (6805036/1071225,-18458856584/1108717875) # # a-invariants: (0, -1, 0, -2008, 35312) # Cremona label: 400c2 # (28,16) (28,-16) (26,-2) (26,2) (-4,208) (-4,-208) (13,-106) (13,106) (5884/225,-3248/3375) (5884/225,3248/3375) (5242/169,95978/2197) (5242/169,-95978/2197) (96284/289,-29574256/4913) (96284/289,29574256/4913) (1208129/44944,-57351929/9528128) (1208129/44944,57351929/9528128) (-287958086/9272025,7294617574138/28233316125) (-287958086/9272025,-7294617574138/28233316125) # # a-invariants: (0, -1, 0, -1208, -19088) # Cremona label: 400c3 # (92,800) (92,-800) (42,-50) (42,50) (156,1888) (156,-1888) (1517,-59050) (1517,59050) (204508/3249,71797600/185193) (204508/3249,-71797600/185193) (165098/3481,-34401194/205379) (165098/3481,34401194/205379) # # a-invariants: (0, -1, 0, 8792, 140912) # Cremona label: 400c4 # (68,1024) (68,-1024) (-14,122) (-14,-122) (239236/1681,-142158848/68921) (239236/1681,142158848/68921) (5639813/3721,-13415056946/226981) (5639813/3721,13415056946/226981) # # a-invariants: (0, -1, 0, -3, 2) # Cremona label: 400d1 # (2,0) # # a-invariants: (0, -1, 0, -28, -48) # Cremona label: 400d2 # (-3,0) # # a-invariants: (0, 1, 0, -33, -62) # Cremona label: 400e1 # (-2,0) # # a-invariants: (0, 1, 0, 92, -312) # Cremona label: 400e2 # (3,0) # # a-invariants: (0, 1, 0, -1033, 12438) # Cremona label: 400e3 # (18,0) # # a-invariants: (0, 1, 0, -908, 15688) # Cremona label: 400e4 # (-37,0) # # a-invariants: (0, 1, 0, -83, 88) # Cremona label: 400f1 # (8,0) # # a-invariants: (0, 1, 0, -708, -7412) # Cremona label: 400f2 # (-17,0) # # a-invariants: (0, 0, 0, 125, 1250) # Cremona label: 400g1 # # # a-invariants: (0, 0, 0, 5, 10) # Cremona label: 400h1 # (1,4) (1,-4) (-1,2) (-1,-2) (9,-28) (9,28) (6,-16) (6,16) (-31/25,-172/125) (-31/25,172/125) (79/49,-1618/343) (79/49,1618/343) (1801/9,76436/27) (1801/9,-76436/27) (481/1024,-115631/32768) (481/1024,115631/32768) (678639/46225,566379662/9938375) (678639/46225,-566379662/9938375) # # a-invariants: (1, 1, 0, -2, -12) # Cremona label: 402a1 # (4,-10) (4,6) (3,3) (3,-6) (148,1734) (148,-1882) (469/81,8515/729) (469/81,-12736/729) (51556/21025,-10793514/3048625) (51556/21025,3317894/3048625) # # a-invariants: (1, 0, 1, -10, -4) # Cremona label: 402b1 # (-3,1) # # a-invariants: (1, 0, 1, -90, 316) # Cremona label: 402b2 # (-11,5) (5,-3) (23/4,-27/8) # # a-invariants: (1, 0, 1, -1430, 20684) # Cremona label: 402b3 # (87/4,-91/8) (21,-17) (21,-5) # # a-invariants: (1, 0, 1, -30, 748) # Cremona label: 402b4 # (-41/4,37/8) # # a-invariants: (1, 1, 1, -37, 71) # Cremona label: 402c1 # (3,-2) # # a-invariants: (1, 1, 1, -27, 123) # Cremona label: 402c2 # (-29/4,25/8) # # a-invariants: (1, 0, 1, -145, 692) # Cremona label: 402d1 # (4,11) (4,-16) (31,-178) (7,-10) (-5,38) (7,2) (31,146) (-5,-34) (10,-22) (-14,2) (43/4,115/8) (10,11) (-14,11) (43/4,-209/8) (-89/25,4426/125) (331/49,722/343) (39,214) (331/49,-3382/343) (-89/25,-4106/125) (39,-254) (2380,-117304) (412/121,17800/1331) (2380,114923) (289/64,4579/512) (289/64,-7403/512) (412/121,-23663/1331) (-18257/2809,-5095910/148877) (21331/841,2512798/24389) (-18257/2809,5914654/148877) (21331/841,-3155786/24389) (-964781/70756,367120699/18821096) (-964781/70756,-129310049/18821096) (159826/13689,-50376113/1601613) (159826/13689,30074858/1601613) (4890573268/8219689,-349035701992295/23565848363) (4890573268/8219689,334990862584576/23565848363) # # a-invariants: (1, 0, 1, 800, 1070) # Cremona label: 402d2 # (10,-106) (10,95) (345,-6605) (25,179) (25,-205) (49/25,-6617/125) (49/25,6247/125) (345,6259) (-5/4,67/8) (-5/4,-65/8) (760/9,-23297/27) (1456/25,58306/125) (760/9,20990/27) (1456/25,-65711/125) (41889/1225,10484993/42875) (41889/1225,-11993983/42875) (18430105/7744,78319474223/681472) (18430105/7744,-79942004935/681472) # # a-invariants: (1, 0, 1, -10255, -438718) # Cremona label: 402d3 # (8799/25,-808492/125) (8799/25,764372/125) (109291/900,-10625279/27000) (109291/900,7319549/27000) # # a-invariants: (0, 0, 0, -8, 4) # Cremona label: 404a1 # (0,2) (0,-2) (4,-6) (4,6) (-3,1) (-3,-1) (28/9,-82/27) (28/9,82/27) (-24/49,-958/343) (-24/49,958/343) (385/4,7551/8) (385/4,-7551/8) (984/3025,199102/166375) (984/3025,-199102/166375) (87340/15129,22807394/1860867) (87340/15129,-22807394/1860867) # # a-invariants: (0, 1, 0, -69, 199) # Cremona label: 404b1 # (5,-2) (5,2) # # a-invariants: (0, 1, 0, -229, -1161) # Cremona label: 404b2 # # # a-invariants: (0, 0, 1, -12, 15) # Cremona label: 405a1 # (3,-3) (3,2) # # a-invariants: (0, 0, 1, -162, -790) # Cremona label: 405a2 # # # a-invariants: (0, 0, 1, -18, 29) # Cremona label: 405b1 # (3,-2) (3,1) (1,3) (9/4,-7/8) (-3,-8) (1,-4) (9/4,-1/8) (-3,7) (159/25,-1702/125) (127/49,-141/343) (127/49,-202/343) (153/16,-1763/64) (159/25,1577/125) (153/16,1699/64) (-18591/4489,-1871927/300763) (-18591/4489,1571164/300763) (9073/6084,-1372571/474552) (9073/6084,898019/474552) (25773427/182329,130748141019/77854483) (25773427/182329,-130825995502/77854483) # # a-invariants: (0, 0, 1, -108, -412) # Cremona label: 405b2 # (-6,4) (-6,-5) (12,-5) (12,4) (-23/4,31/8) (-23/4,-39/8) (1272,45364) (1272,-45365) (-31506/5041,1385645/357911) (-31506/5041,-1743556/357911) (245281/19600,37098321/2744000) (245281/19600,-39842321/2744000) # # a-invariants: (1, -1, 0, 0, 1) # Cremona label: 405c1 # (0,-1) (0,1) (3/4,-11/8) (3/4,5/8) (64/9,389/27) (64/9,-581/27) (-687/1024,-8681/32768) (-687/1024,30665/32768) # # a-invariants: (1, -1, 0, -225, -1250) # Cremona label: 405c2 # (18,-26) (18,8) (477651/1156,-337715195/39304) (477651/1156,321475061/39304) # # a-invariants: (1, -1, 1, -2, -26) # Cremona label: 405d1 # (4,-7) (4,2) (13,38) (13,-52) (14,43) (14,-58) (391/100,1631/1000) (391/100,-6541/1000) (9094,-871738) (9094,862643) # # a-invariants: (1, -1, 1, -2027, 35776) # Cremona label: 405d2 # (76,-601) (76,524) (31,-61) (31,29) (26,-1) (26,-26) (79/4,367/8) (79/4,-533/8) (-14,-241) (-14,254) (-49,149) (-49,-101) (4,164) (4,-169) (1489/64,8413/512) (1489/64,-20837/512) (244/9,-772/27) (244/9,13/27) (4471/121,109969/1331) (4471/121,-160481/1331) (8674/49,751682/343) (8674/49,-812743/343) (2159/4,97747/8) (2159/4,-102073/8) (130234/2809,26200798/148877) (130234/2809,-33252077/148877) (38695/1369,-1850119/50653) (38695/1369,367751/50653) (556969/43264,910829603/8998912) (556969/43264,-1035678067/8998912) # # a-invariants: (0, 0, 1, -27, 47) # Cremona label: 405e1 # # # a-invariants: (0, 0, 1, -3, -2) # Cremona label: 405f1 # (-1,0) (-1,-1) (2,-1) (2,0) (-8/9,-1/27) (-8/9,-26/27) (77,675) (77,-676) (-751/676,-701/17576) (-751/676,-16875/17576) (12601/5625,-913276/421875) (12601/5625,491401/421875) # # a-invariants: (1, -1, 0, -302, 2260) # Cremona label: 406a1 # (-20,10) (12,-22) (9,-19) (12,10) (9,10) (-11,70) (748/9,-21074/27) (748/9,18830/27) (-11,-59) (7341/400,-484949/8000) (7341/400,338129/8000) (2220/529,-420410/12167) (2220/529,369350/12167) (1094668/717409,25323749590/607645423) (384589/16641,-207259531/2146689) (1094668/717409,-26250933386/607645423) (384589/16641,157647550/2146689) # # a-invariants: (1, -1, 0, -4942, 134964) # Cremona label: 406a2 # (163/4,-163/8) (-45,-492) (41,-19) (-45,537) (41,-22) (74575/1849,-2039144/79507) (829/9,-19454/27) (829/9,16967/27) (74575/1849,-1167581/79507) (9003389/211600,-3918934483/97336000) (9003389/211600,-222624457/97336000) (532892043469/11938403169,26396964810660226/1304425745454447) (532892043469/11938403169,-84622348156213573/1304425745454447) # # a-invariants: (1, 0, 1, -15, 210) # Cremona label: 406b1 # (0,-15) (0,14) (87,768) (87,-856) (-29/9,436/27) (3,12) (3,-16) (-29/9,-376/27) (58/9,436/27) (-6,-7) (87/4,-903/8) (58/9,-637/27) (-6,12) (87/4,721/8) (8091/625,629564/15625) (8091/625,-847464/15625) (775/81,18856/729) (775/81,-26560/729) (-6525/961,166224/29791) (-6525/961,6260/29791) (-61712/12321,20228447/1367631) (-61712/12321,-14746046/1367631) (61161/12544,-26842339/1404928) (61161/12544,18587379/1404928) (12432/361,1264746/6859) (12432/361,-1507813/6859) (144337843/576081,-1789755896752/437245479) (144337843/576081,1679766228436/437245479) # # a-invariants: (1, 0, 1, 130, -5648) # Cremona label: 406b2 # (37,-243) (37,205) (16,16) (16,-33) (781/9,20767/27) (781/9,-23137/27) (310,-5619) (310,5308) (3565/169,154257/2197) (3565/169,-202799/2197) (799/36,17179/216) (799/36,-22189/216) (661621/1681,524937957/68921) (661621/1681,-552133339/68921) (764967781/48650625,3542112038771/339338109375) (764967781/48650625,-9217100420621/339338109375) (1914004302001/55794219264,2386423896700280753/13179040943910912) (1914004302001/55794219264,-2851706065811243873/13179040943910912) # # a-invariants: (1, 1, 1, -102, 355) # Cremona label: 406c1 # (7,-11) (7,3) (5,-5) (5,-1) (-7,31) (-7,-25) (1,15) (1,-17) (49/9,-115/27) (49/9,-59/27) (13,-45) (13,31) (35,185) (35,-221) (23/4,-13/8) (23/4,-41/8) (91/25,599/125) (91/25,-1179/125) (-107/9,-59/27) (-107/9,353/27) (1225/289,11015/4913) (1225/289,-36753/4913) (2153/361,-6395/6859) (2153/361,-41371/6859) (8561/121,743725/1331) (8561/121,-839227/1331) (8461/841,-668613/24389) (8461/841,398855/24389) (73087/13689,-6801497/1601613) (73087/13689,-3351295/1601613) (-2735/3136,3689475/175616) (-2735/3136,-3711931/175616) # # a-invariants: (1, 1, 0, -2124, -60592) # Cremona label: 406d1 # (56,-28) # # a-invariants: (1, 1, 0, -39244, -3007920) # Cremona label: 406d2 # (-453/4,453/8) # # a-invariants: (0, 1, 0, -48, -144) # Cremona label: 408a1 # (-4,0) # # a-invariants: (0, 1, 0, -8, -336) # Cremona label: 408a2 # (7,0) # # a-invariants: (0, 1, 0, -52, 128) # Cremona label: 408b1 # (2,-6) (2,6) (4,0) # # a-invariants: (0, 1, 0, -72, 0) # Cremona label: 408b2 # (-9,0) (0,0) (8,0) # # a-invariants: (0, 1, 0, -752, -8160) # Cremona label: 408b3 # (-17,0) # # a-invariants: (0, 1, 0, 288, 288) # Cremona label: 408b4 # (-1,0) # # a-invariants: (0, -1, 0, 511, -1899) # Cremona label: 408c1 # # # a-invariants: (0, 1, 0, -17, 51) # Cremona label: 408d1 # (7,18) (7,-18) (1,-6) (1,6) (-5,6) (-5,-6) (-2,9) (-2,-9) (3,-6) (3,6) (25,126) (25,-126) (31,174) (31,-174) (13/4,51/8) (13/4,-51/8) (-41/25,1098/125) (-41/25,-1098/125) (-47/9,134/27) (-47/9,-134/27) (91/121,8334/1331) (91/121,-8334/1331) (310/49,5277/343) (310/49,-5277/343) (2443,120774) (2443,-120774) (6553/841,-518706/24389) (6553/841,518706/24389) (1695/1369,-292662/50653) (1695/1369,292662/50653) (-21911/4624,2169603/314432) (-21911/4624,-2169603/314432) (257041/93025,162389514/28372625) (257041/93025,-162389514/28372625) (3343843/162409,-6158205054/65450827) (3343843/162409,6158205054/65450827) (1593766/40401,2027330891/8120601) (1593766/40401,-2027330891/8120601) # # a-invariants: (1, -1, 0, -14, 20) # Cremona label: 410a1 # (-4,2) (4,-6) (1,-3) (1,2) (4,2) (4/9,94/27) (4/9,-106/27) (5,-10) (5,5) (-59/16,-97/64) (124,1314) (-59/16,333/64) (124,-1438) (2276/1681,-147758/68921) (781/225,-12766/3375) (2276/1681,54442/68921) (781/225,1051/3375) (97924/14161,-30706922/1685159) (97924/14161,19053966/1685159) (3700505/118336,6346783375/40707584) (3700505/118336,-7619757095/40707584) # # a-invariants: (1, -1, 0, -214, 1260) # Cremona label: 410a2 # (35/4,-35/8) (19,-71) (9,-3) (9,-6) (19,52) (85/9,-230/27) (311/25,-3299/125) (311/25,1744/125) (85/9,-25/27) (1989/16,-91827/64) (64879/7396,-2622271/636056) (1989/16,83871/64) (64879/7396,-2957323/636056) (3337861/378225,-891464029/232608375) (3337861/378225,-1161320486/232608375) # # a-invariants: (1, -1, 1, -1387, -18501) # Cremona label: 410b1 # (-21,-22) (43,-22) (-21,42) # # a-invariants: (1, -1, 1, -21867, -1239109) # Cremona label: 410b2 # (-341/4,337/8) (171,-86) (-85,42) # # a-invariants: (1, -1, 1, -349867, -79565509) # Cremona label: 410b3 # (-1365/4,1361/8) # # a-invariants: (1, -1, 1, -21547, -1277381) # Cremona label: 410b4 # (427,-8414) (427,7986) (683/4,-687/8) # # a-invariants: (1, 0, 1, -168, 806) # Cremona label: 410c1 # (5,7) (10,7) (10,-18) (5,-13) (-15,7) # # a-invariants: (1, 0, 1, -2668, 52806) # Cremona label: 410c2 # (30,-13) (30,-18) (40,-123) (40,82) (119/4,-123/8) # # a-invariants: (1, 0, 1, -1543, -23094) # Cremona label: 410c3 # (-25,12) # # a-invariants: (1, 0, 1, -3143, 32586) # Cremona label: 410c4 # (199/4,-203/8) # # a-invariants: (1, 0, 0, -16, 0) # Cremona label: 410d1 # (0,0) (-2,6) (-2,-4) (8,-24) (8,16) (4,0) (-4,0) (-4,4) (4,-4) (-8/9,-88/27) (-8/9,112/27) (18,66) (18,-84) (64,480) (-1/4,17/8) (-1/4,-15/8) (64,-544) (-392/121,-3864/1331) (242/49,1518/343) (242/49,-3212/343) (-392/121,8176/1331) (1156/225,17476/3375) (1156/225,-34816/3375) (-900/289,30720/4913) (-900/289,-15420/4913) (42632/529,-9295528/12167) (42632/529,8314992/12167) (66049/4096,14465759/262144) (66049/4096,-18692895/262144) (94051204/10962721,666085328896/36297569231) (94051204/10962721,-977488865340/36297569231) # # a-invariants: (1, 0, 0, 64, 16) # Cremona label: 410d2 # (-1/4,1/8) (10,-46) (6,22) (6,-28) (10,36) (0,-4) (0,4) (256,-4228) (256,3972) (154/9,-2356/27) (86/25,-2306/125) (154/9,1894/27) (86/25,1876/125) (769/1024,-275729/32768) (255/4,3857/8) (255/4,-4367/8) (769/1024,251121/32768) (10074/5929,4824826/456533) (60310/1849,-16604958/79507) (60310/1849,14011628/79507) (10074/5929,-5600524/456533) (131584/65025,-223093508/16581375) (131584/65025,189539588/16581375) # # a-invariants: (1, -1, 1, -320, -2221) # Cremona label: 414a1 # (21,-11) # # a-invariants: (1, -1, 1, -5180, -142189) # Cremona label: 414a2 # (-165/4,161/8) # # a-invariants: (1, -1, 1, 1705, -5137) # Cremona label: 414a3 # (111,1186) (3,-2) (19,-194) (19,174) (111,-1298) # # a-invariants: (1, -1, 1, -6935, -36241) # Cremona label: 414a4 # (-57,442) (-21/4,17/8) (-57,-386) (127,-1122) (127,994) # # a-invariants: (1, -1, 1, -14, -39) # Cremona label: 414b1 # (5,-3) # # a-invariants: (1, -1, 1, -284, -1767) # Cremona label: 414b2 # (-37/4,33/8) # # a-invariants: (1, -1, 0, 27, -59) # Cremona label: 414c1 # (2,-1) (5,-16) (14,-61) (14,47) (5,11) (38,-253) (38,215) (3,-8) (3,5) (290/121,-6779/1331) (371/4,-7499/8) (290/121,3589/1331) (371/4,6757/8) (1563/169,56393/2197) (8534/1225,740557/42875) (1563/169,-76712/2197) (8534/1225,-1039247/42875) (25840153/1115136,118572699757/1177583616) (25840153/1115136,-145859901325/1177583616) # # a-invariants: (1, -1, 0, -153, -455) # Cremona label: 414c2 # (14,-7) (-13/4,13/8) (-10,5) (17,32) (-4,11) (152,-1939) (152,1787) (-9,-7) (-9,16) (17,-49) (-4,-7) (-328/49,-4117/343) (39,-247) (-1015/169,-26005/2197) (39,208) (764/25,16927/125) (-1015/169,39200/2197) (-328/49,6413/343) (764/25,-20747/125) (-10271/2304,-982823/110592) (-15586/1849,1409051/79507) (-10271/2304,1475831/110592) (45083/484,-9941809/10648) (-15586/1849,-738853/79507) (45083/484,8949983/10648) (2942871/207025,-1567826896/94196375) (2942871/207025,228820591/94196375) # # a-invariants: (1, -1, 0, -2223, -39785) # Cremona label: 414c3 # (-109/4,109/8) (-27,16) (-27,11) (155,-1900) (155,1745) (1389/25,-13073/125) (-221101/8281,9675548/753571) (1389/25,6128/125) (-221101/8281,10444643/753571) (-114542567/4260096,139238326939/8792838144) (-114542567/4260096,97177531349/8792838144) # # a-invariants: (1, -1, 0, -963, 11371) # Cremona label: 414c4 # (83/4,-83/8) (15,-19) (15,4) (-31,119) (-31,-88) (23,-43) (153,-1928) (153,1775) (23,20) (-535/64,-68033/512) (379/36,-11533/216) (379/36,9259/216) (-535/64,72313/512) (2073/49,65512/343) (145991/4225,32564869/274625) (145991/4225,-42054284/274625) (2073/49,-80023/343) (84764003/894916,699486038957/846590536) (84764003/894916,-779672785795/846590536) # # a-invariants: (1, -1, 1, -92, 415) # Cremona label: 414d1 # (-11,5) (13,-43) (13,29) (1,-19) (1,17) (5,-11) (5,5) (7,5) (7,-13) (37,197) (-5,29) (37,-235) (-5,-25) (-7,-23) (61,-499) (61,437) (-7,29) (109/25,817/125) (31/4,-125/8) (109/25,-1487/125) (31/4,55/8) (97/9,-817/27) (109/49,4523/343) (109/49,-5629/343) (97/9,499/27) (-1283/121,-7505/1331) (715,-19465) (-1283/121,20287/1331) (715,18749) (2765/169,103193/2197) (2765/169,-141335/2197) (-137/289,103891/4913) (-137/289,-106475/4913) (22201/3481,841159/205379) (28093/5041,1480867/357911) (28093/5041,-3833381/357911) (22201/3481,-2356397/205379) (-4831/1600,1705267/64000) (-4831/1600,-1576027/64000) (-1148387/130321,-845939851/47045881) (-1148387/130321,1213461677/47045881) (7753303/889249,8454854669/838561807) (3512125/974169,-12855092305/961504803) (3512125/974169,8427120127/961504803) (7753303/889249,-16604781205/838561807) (241868533193/39473345041,-86891295024914017/7842524719400839) (241868533193/39473345041,30994571999261131/7842524719400839) # # a-invariants: (1, -1, 1, -1532, 23455) # Cremona label: 414d2 # (91/4,-95/8) (25,5) (25,-31) (17,-55) (17,37) (23,-11) (-29,221) (23,-13) (-29,-193) (199/9,-151/27) (199/9,-473/27) (43,167) (43,-211) (3793/169,-18715/2197) (65,409) (65,-475) (3793/169,-32791/2197) (2311/100,-14089/1000) (-211/16,13385/64) (2311/100,-10021/1000) (-211/16,-12605/64) (10585/441,-204415/9261) (10585/441,-27131/9261) (27433/2209,-8895029/103823) (27433/2209,7501855/103823) (86563/121,24940759/1331) (86563/121,-25894283/1331) (15859051/808201,-26299390667/726572699) (1313183/48841,219092329/10793861) (15859051/808201,11315531119/726572699) (1313183/48841,-520099633/10793861) (402731905/17547721,-853772913895/73507403269) (402731905/17547721,-906778439419/73507403269) (20205247974223/866278809081,-12930321825082733231/806281205042859021) (20205247974223/866278809081,-6681812084736415033/806281205042859021) # # a-invariants: (1, -1, 0, -109, -412) # Cremona label: 415a1 # # # a-invariants: (0, 1, 0, 0, -4) # Cremona label: 416a1 # # # a-invariants: (0, -1, 0, 0, 4) # Cremona label: 416b1 # (0,2) (0,-2) (1,-2) (1,2) (16,62) (16,-62) (-15/16,97/64) (-15/16,-97/64) (496/225,-10594/3375) (496/225,10594/3375) (4065/961,-234182/29791) (4065/961,234182/29791) # # a-invariants: (1, 1, 0, 26, 73) # Cremona label: 417a1 # # # a-invariants: (1, -1, 1, -4, 3) # Cremona label: 418a1 # (1,-1) # # a-invariants: (1, -1, 1, 6, 11) # Cremona label: 418a2 # (-5/4,1/8) # # a-invariants: (1, 1, 1, 66, -5) # Cremona label: 418b1 # (5,19) (5,-25) (1,7) (1,-9) (49,-377) (49,327) (17,71) (17,-89) (1/9,-59/27) (1/9,29/27) (11,41) (11,-53) (115,1185) (115,-1301) (49/25,1283/125) (49/25,-1653/125) (1145/361,-122899/6859) (1145/361,94285/6859) (3769/9,-237443/27) (3769/9,226109/27) (18209/2401,3229687/117649) (18209/2401,-4239577/117649) (853/2209,405773/103823) (853/2209,-549687/103823) (71941/2704,18667719/140608) (71941/2704,-22549259/140608) (421262215201/4324365999121,6930945867036209521/8992566663198109831) (421262215201/4324365999121,-16799531940629166063/8992566663198109831) # # a-invariants: (1, -1, 1, -6, -5) # Cremona label: 418c1 # # # a-invariants: (0, -1, 0, -4061, 67590) # Cremona label: 420a1 # (18,0) # # a-invariants: (0, -1, 0, 11564, 448840) # Cremona label: 420a2 # (-35,0) # # a-invariants: (0, -1, 0, -565, 5362) # Cremona label: 420b1 # (14,0) # # a-invariants: (0, -1, 0, -540, 5832) # Cremona label: 420b2 # (-27,0) # # a-invariants: (0, 1, 0, -61, 164) # Cremona label: 420c1 # (-1,15) (-1,-15) (5,-3) (4,0) (5,3) # # a-invariants: (0, 1, 0, -36, 324) # Cremona label: 420c2 # (12,42) (0,-18) (0,18) (-9,0) (12,-42) # # a-invariants: (0, 1, 0, -301, -1960) # Cremona label: 420c3 # (-8,0) # # a-invariants: (0, 1, 0, 324, -8460) # Cremona label: 420c4 # (15,0) # # a-invariants: (0, 1, 0, -5, 0) # Cremona label: 420d1 # (0,0) # # a-invariants: (0, 1, 0, 20, 20) # Cremona label: 420d2 # (-1,0) # # a-invariants: (1, -1, 0, 1, -3) # Cremona label: 422a1 # (2,-3) (2,1) (3,3) (3,-6) (38,-251) (38,213) (127/81,-1126/729) (127/81,-17/729) (6626/1225,-620929/42875) (6626/1225,389019/42875) (130197/13456,-52852593/1560896) (130197/13456,37749741/1560896) # # a-invariants: (0, 0, 1, -12, 4) # Cremona label: 423a1 # (-2,-5) (-2,4) (4,-5) (4,4) (1/4,5/8) (1/4,-13/8) (8,20) (8,-21) (-86/25,-337/125) (-86/25,212/125) (433/16,-8969/64) (433/16,8905/64) (-446/961,-107771/29791) (-446/961,77980/29791) (5504/1681,-51500/68921) (5504/1681,-17421/68921) (-51047/81796,-91014305/23393656) (-51047/81796,67620649/23393656) (3303436/93025,5961577316/28372625) (3303436/93025,-5989949941/28372625) # # a-invariants: (1, -1, 0, -72, 355) # Cremona label: 423b1 # (-10,5) # # a-invariants: (1, -1, 0, -1287, 18094) # Cremona label: 423b2 # (83/4,-83/8) # # a-invariants: (1, -1, 0, -18, -81) # Cremona label: 423c1 # (6,-3) (51/4,-375/8) (18,-81) (18,63) (51/4,273/8) (1585/256,3777/4096) (1585/256,-29137/4096) (21030/49,2973291/343) (21030/49,-3120501/343) # # a-invariants: (1, -1, 0, -423, -3240) # Cremona label: 423c2 # (24,-12) (-12,6) (-45/4,45/8) (-767/64,2739/512) (1716,-71922) (-552/49,1716/343) (99/4,153/8) (99/4,-351/8) (-767/64,3397/512) (-552/49,2148/343) (1716,70206) (137958936/5085025,630689609244/11466731375) (5386081/12544,-12776061801/1404928) (5386081/12544,12172820729/1404928) (137958936/5085025,-941787009924/11466731375) # # a-invariants: (1, -1, 0, -6768, -212625) # Cremona label: 423c3 # (-189/4,189/8) (6867/4,561393/8) (-148175/3136,4146645/175616) (6867/4,-575127/8) (-148175/3136,4151155/175616) (27588036143809/63786553600,-145420276027403159943/16109931977216000) (27588036143809/63786553600,138452641618922758903/16109931977216000) # # a-invariants: (1, -1, 0, -558, -891) # Cremona label: 423c4 # (99/4,-99/8) (60,-453) (60,393) (-27/16,477/64) (-89/4,-5/8) (-444/49,-18327/343) (-27/16,-369/64) (-12,69) (-89/4,183/8) (-12,-57) (-444/49,21435/343) (4995/196,49743/2744) (4995/196,-119673/2744) (148236/1681,-57734853/68921) (134124/3025,37084983/166375) (109825/64,-36823739/512) (109825/64,35945139/512) (134124/3025,-44461803/166375) (148236/1681,51657177/68921) (-3758717532/249608401,-217432539378039/3943563127399) (-3758717532/249608401,276816517666107/3943563127399) # # a-invariants: (0, 0, 1, -81, -277) # Cremona label: 423d1 # # # a-invariants: (0, 0, 1, -111, -171) # Cremona label: 423e1 # # # a-invariants: (0, 0, 1, -237, 1404) # Cremona label: 423f1 # (8,4) (8,-5) (9,0) (9,-1) (-1,-41) (-1,40) (18,-55) (18,54) (881/100,-779/1000) (881/100,-221/1000) (838/81,-5995/729) (838/81,5266/729) (-5941/361,196240/6859) (-5941/361,-203099/6859) (14506641/384400,-51349585689/238328000) (14506641/384400,51111257689/238328000) # # a-invariants: (0, 0, 1, -9, 10) # Cremona label: 423g1 # (1,-2) (1,1) (2,0) (2,-1) (-2,-5) (-2,4) (5,-10) (5,9) (25/16,-29/64) (25/16,-35/64) (37/9,163/27) (37/9,-190/27) (-122/49,1252/343) (-122/49,-1595/343) (746/361,1304/6859) (746/361,-8163/6859) (3481/3025,-281246/166375) (3481/3025,114871/166375) (20249/64,2881027/512) (20249/64,-2881539/512) (-12630890/8473921,-123620854355/24667584031) (-12630890/8473921,98953270324/24667584031) # # a-invariants: (1, -1, 0, -17, 16) # Cremona label: 425a1 # (4,-2) (0,-4) (0,4) (-9/4,59/8) (-9/4,-41/8) (1924/81,-90458/729) (1924/81,73142/729) (337/64,-5029/512) (337/64,2333/512) (862551/925444,-913326881/890277128) (862551/925444,83552819/890277128) # # a-invariants: (1, -1, 0, -142, -609) # Cremona label: 425a2 # (-6,3) (-29/4,29/8) (14,-7) (-25/4,43/8) (-566/81,847/729) (-566/81,4247/729) (309/16,3207/64) (-25/4,7/8) (94,853) (309/16,-4443/64) (94,-947) (129697/5184,-43867243/373248) (129697/5184,34529059/373248) (1860281472094/127877044801,-1048648181919988453/45728703343792799) (1860281472094/127877044801,383413387780646147/45728703343792799) # # a-invariants: (1, -1, 0, -2267, -40984) # Cremona label: 425a3 # (-109/4,109/8) (1589/16,-56953/64) (1589/16,50597/64) (-8825/324,79903/5832) (-8825/324,78947/5832) # # a-invariants: (1, -1, 0, -17, -1734) # Cremona label: 425a4 # (51/4,-51/8) (374,7038) (14,18) (374,-7412) (14,-32) (23749/1296,2469743/46656) (23749/1296,-3324707/46656) (375/4,-7593/8) (375/4,6843/8) (2868254/101761,4085281912/32461759) (2868254/101761,-5000254938/32461759) (52783334/1256641,344012054468/1408694561) (52783334/1256641,-403182171882/1408694561) # # a-invariants: (1, 1, 0, -75, 250) # Cremona label: 425b1 # (10,20) (10,-30) (15/4,-65/8) (15/4,35/8) (-6,-20) (-6,26) (-335/64,13165/512) (-335/64,-10485/512) (6010/1521,-467420/59319) (6010/1521,233030/59319) (23071/2116,-3413167/97336) (23071/2116,2351901/97336) (8727210/2401,-25999970620/117649) (8727210/2401,25572337330/117649) (528931665/57274624,7209732641215/433454354432) (528931665/57274624,-11212687481935/433454354432) # # a-invariants: (1, 0, 0, -3, 2) # Cremona label: 425c1 # (1,-1) (1,0) (-2,2) (-2,0) (7/9,-25/27) (7/9,4/27) (79/4,625/8) (79/4,-783/8) (799/625,2732/15625) (799/625,-22707/15625) (-9506/7569,1760000/658503) (-9506/7569,-932978/658503) (39470113/7929856,185527503567/22330474496) (39470113/7929856,-296675341775/22330474496) # # a-invariants: (1, 0, 0, -213, -1208) # Cremona label: 425d1 # (-8,4) (-9,5) (-9,4) (17,-21) (17,4) (-5433/676,54029/17576) (668,-17598) (668,16930) (-5433/676,87229/17576) (8067817/423801,-14090468596/275894451) (8067817/423801,8838319729/275894451) # # a-invariants: (1, 0, 0, -88, -2583) # Cremona label: 425d2 # (63/4,-63/8) (47,-336) (37,-231) (37,194) (47,289) (16,-21) (2672,-139461) (2672,136789) (16,5) (27367/441,-4747091/9261) (28917/961,3994599/29791) (28917/961,-4891026/29791) (27367/441,4172384/9261) (451543/676,297578605/17576) (451543/676,-309318723/17576) # # a-invariants: (1, 0, 0, -20, 48) # Cremona label: 426a1 # (4,4) (4,-8) (-2,-8) (-2,10) # # a-invariants: (1, 0, 0, -230, -5202) # Cremona label: 426a2 # # # a-invariants: (1, 1, 0, -286, 1780) # Cremona label: 426b1 # (-20,10) (7,10) (7,-17) (12,-22) (12,10) (364/25,2978/125) (364/25,-4798/125) (5,20) (5,-25) (1243/4,-45091/8) (-852/49,17830/343) (1243/4,42605/8) (-852/49,-11866/343) (16621/2025,-1134829/91125) (16621/2025,386884/91125) (3292458905/42198016,175639090020365/274118311936) (3292458905/42198016,-197026903067245/274118311936) # # a-invariants: (1, 1, 0, -4606, 118420) # Cremona label: 426b2 # (155/4,-155/8) (39,-22) (21,167) (21,-188) (39,-17) (989/25,-3548/125) (2695/81,30295/729) (2695/81,-54550/729) (989/25,-1397/125) (61419/196,-15351013/2744) (61419/196,14491147/2744) (8339241/215296,-1902739357/99897344) (8339241/215296,-1966668467/99897344) # # a-invariants: (1, 0, 1, -23007, 1341682) # Cremona label: 426c1 # (80,81) (80,-162) # # a-invariants: (1, 0, 1, 14658, 5154352) # Cremona label: 426c2 # # # a-invariants: (0, -1, 1, -1, -1) # Cremona label: 427a1 # # # a-invariants: (1, 0, 1, -8, 7) # Cremona label: 427b1 # (1,-2) (1,0) (7/4,-7/8) (7/4,-15/8) (-23/9,-70/27) (-23/9,112/27) (721/256,-21057/4096) (721/256,5425/4096) (32761/24025,-3832374/3723875) (32761/24025,-4969456/3723875) (2216551/298116,-3844184807/162771336) (2216551/298116,2471176625/162771336) # # a-invariants: (1, 0, 0, -28, -59) # Cremona label: 427c1 # (-3,1) (-3,2) (12,-43) (12,31) (-749/225,6631/3375) (-749/225,4604/3375) (35307/5476,-3833597/405224) (35307/5476,1220879/405224) # # a-invariants: (0, 1, 0, -157, -812) # Cremona label: 428a1 # # # a-invariants: (0, -1, 0, 3, -2) # Cremona label: 428b1 # (1,-1) (1,1) (3,5) (3,-5) (6,14) (6,-14) (19/25,47/125) (19/25,-47/125) (289/9,4843/27) (289/9,-4843/27) (1177/784,-41845/21952) (1177/784,41845/21952) (979299/55225,945956993/12977875) (979299/55225,-945956993/12977875) # # a-invariants: (1, 1, 1, 2, 2) # Cremona label: 429a1 # (-1,0) (0,-2) (0,1) (2,-6) (2,3) (-5/9,-34/27) (23/4,99/8) (-5/9,22/27) (23/4,-153/8) (-454/529,-8490/12167) (504/25,10373/125) (-454/529,6765/12167) (504/25,-13018/125) (23305/28224,7021337/4741632) (23305/28224,-15678209/4741632) # # a-invariants: (1, 1, 1, -13, 8) # Cremona label: 429a2 # (3/4,-7/8) (-2,6) (4,-9) (-2,-5) (4,4) (3,1) (-29/9,-113/27) (-29/9,173/27) (3,-5) (82,-789) (82,706) (16/25,-229/125) (16/25,24/125) (223/36,2401/216) (223/36,-3955/216) (-699/784,-98573/21952) (-699/784,96193/21952) (-14552/3481,-299520/205379) (-14552/3481,952709/205379) (268491/13225,125147041/1520875) (268491/13225,-157544381/1520875) # # a-invariants: (1, 0, 0, -24, 63) # Cremona label: 429b1 # (3,3) (3,-6) (-6,3) (3/4,-57/8) (-3,-9) (6,-15) (6,9) (-3,12) (3/4,51/8) (21,-105) (21,84) (579/25,-15177/125) (-29/9,326/27) (282/49,2829/343) (57/64,3111/512) (282/49,-4803/343) (-29/9,-239/27) (57/64,-3567/512) (579/25,12282/125) (63309/20449,-17852700/2924207) (35619/4,6686847/8) (35619/4,-6758085/8) (63309/20449,8799513/2924207) (21298449/35236096,-1524433635327/209161465856) (21298449/35236096,1398006042063/209161465856) # # a-invariants: (1, 0, 0, -429, 3384) # Cremona label: 429b2 # (47/4,-47/8) (-24,12) (9,-21) (15,-27) (15,12) (12,-6) (9,12) (24,-96) (109/9,-196/27) (291/25,-876/125) (51/4,-93/8) (-13,-76) (93,831) (45/16,2913/64) (291/25,-579/125) (540/49,-3606/343) (24,72) (51/4,-9/8) (-13,89) (93,-924) (109/9,-131/27) (45/16,-3093/64) (540/49,-174/343) (40695/529,-8419644/12167) (5836/225,-379154/3375) (39657/3136,-301881/175616) (-15399/1369,4467351/50653) (-15399/1369,-3897588/50653) (40695/529,7483659/12167) (19911/11236,60025737/1191016) (39657/3136,-1918911/175616) (19911/11236,-62136303/1191016) (5836/225,291614/3375) (1272936589/87104889,-19761447996341/812949929037) (1272936589/87104889,7881130811204/812949929037) # # a-invariants: (1, 0, 0, -474, 2619) # Cremona label: 429b3 # (-97/4,97/8) (6,-3) (18,-9) (-21,-48) (369,-7263) (369,6894) (5,17) (175/9,524/27) (5,-22) (-21,69) (175/9,-1049/27) (99/4,531/8) (1437/784,900087/21952) (838/9,22403/27) (838/9,-24917/27) (-334/25,10999/125) (-334/25,-9329/125) (1437/784,-940323/21952) (99/4,-729/8) (895615/23409,-792431956/3581577) (-14155/3721,-14574283/226981) (895615/23409,655402861/3581577) (-14155/3721,15437738/226981) (18757321/705600,48291983599/592704000) (18757321/705600,-64048133239/592704000) # # a-invariants: (1, 0, 0, -6864, 218313) # Cremona label: 429b4 # (48,-27) (48,-21) (191/4,-191/8) (104,743) (10744/225,-80527/3375) (813/16,-3999/64) (9363/196,-64863/2744) (813/16,747/64) (104,-847) (10744/225,-80633/3375) (9363/196,-66219/2744) (130727671/2528100,-297227766089/4019679000) (130727671/2528100,89370769199/4019679000) (64946208/724201,324252285519/616295051) (64946208/724201,-379521508527/616295051) # # a-invariants: (1, 0, 0, -3009, -61770) # Cremona label: 429b5 # (-145/4,145/8) (-34,-22) (3334/9,-195334/27) (-34,56) (3334/9,185332/27) (-578731/19600,148605673/2744000) (3595/36,-183055/216) (3595/36,161485/216) (-578731/19600,-67583333/2744000) # # a-invariants: (1, 0, 0, 1341, 18228) # Cremona label: 429b6 # (-49/4,49/8) (439/9,11425/27) (439/9,-12742/27) (17,206) (17,-223) (368,-7282) (-68/9,2468/27) (-68/9,-2264/27) (368,6914) (40949/289,8243302/4913) (-53/81,-95786/729) (-53/81,96263/729) (40949/289,-8939435/4913) (627589/7056,517871117/592704) (539/100,-162757/1000) (539/100,157367/1000) (627589/7056,-570588593/592704) (16943827/16641,68707046423/2146689) (16943827/16641,-70892800106/2146689) # # a-invariants: (1, -1, 0, -20, 40) # Cremona label: 430a1 # (3,-2) (3,-1) (1,4) (1,-5) (3/4,37/8) (3/4,-43/8) (241/81,-1405/729) (241/81,-764/729) (1443,54079) (1443,-55522) (77521/25600,-8543849/4096000) (77521/25600,-3859511/4096000) # # a-invariants: (1, -1, 0, 16, -10) # Cremona label: 430b1 # (1,-3) (1,2) (11,32) (11,-43) (19/4,81/8) (19/4,-119/8) (19/9,119/27) (19/9,-176/27) (49,-366) (49,317) (161/256,-1783/4096) (161/256,-793/4096) (14521/361,-1879962/6859) (14521/361,1604063/6859) (71419/31329,26214181/5545233) (71419/31329,-38855344/5545233) (142519969/153338689,3374504909854/1898792985887) (142519969/153338689,-5139329685981/1898792985887) (45322590889/10036224,9576184615933499/31794757632) (45322590889/10036224,-9719766583869851/31794757632) # # a-invariants: (1, 0, 0, 4, 16) # Cremona label: 430c1 # (0,-4) (0,4) (-2,0) (4,-12) (8,-28) (8,20) (4,8) (-2,2) (10/9,112/27) (60,-496) (10/9,-142/27) (60,436) (-24/25,484/125) (-24/25,-364/125) (-1456/961,-56452/29791) (3472/169,184404/2197) (3472/169,-229540/2197) (-1456/961,101588/29791) (403/196,-18815/2744) (403/196,13173/2744) (177546/70225,99737174/18609625) (177546/70225,-146786864/18609625) # # a-invariants: (1, 0, 0, -36, -440) # Cremona label: 430c2 # (14,-50) (14,36) (99/4,-1045/8) (99/4,847/8) (186,2444) (10,10) (186,-2630) (10,-20) (13534/225,1466818/3375) (70361/7744,-4391345/681472) (162254/3481,-69633460/205379) (70361/7744,-1800423/681472) (162254/3481,60060474/205379) (13534/225,-1669828/3375) (671194315/31832164,14455355179595/179597069288) (671194315/31832164,-18242233504825/179597069288) # # a-invariants: (1, 0, 0, -5626, -162894) # Cremona label: 430c3 # (771/4,18699/8) (771/4,-20241/8) (532825818001/6065294400,50506314286533509/472365127872000) (532825818001/6065294400,-92002788992451389/472365127872000) # # a-invariants: (1, 0, 0, -1415, 20617) # Cremona label: 430d1 # (-26,213) (-26,-187) (54,293) (54,-347) (14,-67) (14,53) (24,13) (24,-37) (22,-27) (22,5) (166/9,551/27) (166/9,-1049/27) (34,93) (34,-127) (-6,173) (-6,-167) (374,-7387) (374,7013) (-42,101) (-42,-59) (124,1263) (124,-1387) (46/9,3071/27) (46/9,-3209/27) (1366/49,14099/343) (1366/49,-23661/343) (2454/121,-38897/1331) (2454/121,11903/1331) (83/4,55/8) (83/4,-221/8) (7686/289,-283531/4913) (7686/289,152869/4913) (2854/361,-710953/6859) (2854/361,656727/6859) (7774/81,605197/729) (7774/81,-675163/729) (-6644/169,319961/2197) (-6644/169,-233589/2197) (16614/25,-2180047/125) (16614/25,2096977/125) (104586/2809,18226661/148877) (104586/2809,-23769719/148877) (2630856/170569,-4080201439/70444997) (2630856/170569,2993657911/70444997) (-9456143/304704,-28803699077/168196608) (-9456143/304704,34023490013/168196608) # # a-invariants: (1, 0, 0, 0, -1) # Cremona label: 431a1 # (1,-1) (1,0) (10,27) (10,-37) (145/81,1063/729) (145/81,-2368/729) (10081/4096,706895/262144) (10081/4096,-1352079/262144) (2418481/442225,-4638983049/294079625) (2418481/442225,3030693184/294079625) # # a-invariants: (1, -1, 1, -9, -8) # Cremona label: 431b1 # # # a-invariants: (0, 0, 0, 0, -16) # Cremona label: 432a1 # # # a-invariants: (0, 0, 0, -480, -4048) # Cremona label: 432a2 # # # a-invariants: (0, 0, 0, 0, 432) # Cremona label: 432a3 # # # a-invariants: (0, 0, 0, -4320, 109296) # Cremona label: 432a4 # # # a-invariants: (0, 0, 0, 0, -4) # Cremona label: 432b1 # (2,2) (2,-2) (5,-11) (5,11) (106/9,1090/27) (106/9,-1090/27) (785/484,5497/10648) (785/484,-5497/10648) (151322/3721,-58862702/226981) (151322/3721,58862702/226981) # # a-invariants: (0, 0, 0, 0, 108) # Cremona label: 432b2 # (6,18) (6,-18) (-3,9) (-3,-9) (-2,-10) (-2,10) (33/4,-207/8) (33/4,207/8) (366,7002) (366,-7002) (109/25,-1727/125) (109/25,1727/125) (-6474/1681,491598/68921) (-6474/1681,-491598/68921) (-7887/8464,8061993/778688) (-7887/8464,-8061993/778688) (294838/25281,165454370/4019679) (294838/25281,-165454370/4019679) # # a-invariants: (0, 0, 0, -27, -918) # Cremona label: 432c1 # # # a-invariants: (0, 0, 0, -3, 34) # Cremona label: 432d1 # (5,12) (5,-12) (-1,6) (-1,-6) (-3,-4) (-3,4) (2,6) (2,-6) (29,-156) (29,156) (15,-58) (15,58) (29/25,-708/125) (29/25,708/125) (-55/16,123/64) (-55/16,-123/64) (-11/81,4276/729) (-11/81,-4276/729) (1223/169,43458/2197) (1223/169,-43458/2197) (9293/49,-895812/343) (9293/49,895812/343) (2994/841,-201766/24389) (2994/841,201766/24389) (-201169/87025,137251146/25672375) (-201169/87025,-137251146/25672375) (8407001/107584,24370835613/35287552) (8407001/107584,-24370835613/35287552) # # a-invariants: (0, 0, 0, -51, -142) # Cremona label: 432e1 # # # a-invariants: (0, 0, 0, 189, -702) # Cremona label: 432e2 # # # a-invariants: (0, 0, 0, -1971, 44658) # Cremona label: 432e3 # # # a-invariants: (0, 0, 0, 21, 26) # Cremona label: 432f1 # (5,-16) (5,16) (-1,2) (-1,-2) (13/9,208/27) (13/9,-208/27) (38,-236) (38,236) (1853/121,83536/1331) (1853/121,-83536/1331) (367/1521,330706/59319) (367/1521,-330706/59319) (-47851/108241,145222288/35611289) (-47851/108241,-145222288/35611289) (2017025/222784,3255127423/105154048) (2017025/222784,-3255127423/105154048) (905112949/7535025,27250421665168/20683643625) (905112949/7535025,-27250421665168/20683643625) # # a-invariants: (0, 0, 0, -219, -1654) # Cremona label: 432f2 # (29,128) (29,-128) (23,74) (23,-74) (9733/9,960128/27) (9733/9,-960128/27) (53990/1369,11444348/50653) (53990/1369,-11444348/50653) # # a-invariants: (0, 0, 0, -459, 3834) # Cremona label: 432f3 # (-3,72) (-3,-72) (15,-18) (15,18) (13,8) (13,-8) (6,-36) (6,36) (141,-1656) (141,1656) (-17,82) (-17,-82) (1005/49,-18936/343) (1005/49,18936/343) (753/64,4041/512) (753/64,-4041/512) (2269/225,-51272/3375) (2269/225,51272/3375) (19743/529,2393154/12167) (19743/529,-2393154/12167) (67558/1681,-15457292/68921) (67558/1681,15457292/68921) (50756712991/9241938225,34166667417762914/888473731260375) (50756712991/9241938225,-34166667417762914/888473731260375) # # a-invariants: (0, 0, 0, -108, 540) # Cremona label: 432g1 # # # a-invariants: (0, 0, 0, -12, -20) # Cremona label: 432h1 # # # a-invariants: (1, 0, 0, 0, 1) # Cremona label: 433a1 # (0,1) (0,-1) (-1,0) (-1,1) (1,-2) (1,1) (3,4) (3,-7) (5,9) (5,-14) (-1/4,9/8) (-1/4,-7/8) (3/4,7/8) (3/4,-13/8) (8,19) (8,-27) (-8/9,31/27) (-8/9,-7/27) (13/9,38/27) (13/9,-77/27) (-11/16,79/64) (-11/16,-35/64) (-21/25,-43/125) (-21/25,148/125) (64,481) (64,-545) (9/49,314/343) (9/49,-377/343) (69/16,-731/64) (69/16,455/64) (119,1240) (119,-1359) (-35/81,-559/729) (-35/81,874/729) (56/121,1121/1331) (56/121,-1737/1331) (-183/169,1526/2197) (-183/169,853/2197) (-53/289,-4468/4913) (-53/289,5369/4913) (531/25,10981/125) (531/25,-13636/125) (295/441,7904/9261) (295/441,-14099/9261) (584/529,13091/12167) (584/529,-26523/12167) (257/1024,29169/32768) (257/1024,-37393/32768) (1840/841,-113491/24389) (1840/841,60131/24389) (-1711/1600,18157/64000) (-1711/1600,50283/64000) (3795/196,-261871/2744) (3795/196,208741/2744) (-187/2809,153893/148877) (-187/2809,-143982/148877) (4031/2116,-381797/97336) (4031/2116,196371/97336) (1535/3481,-264024/205379) (1535/3481,173459/205379) (4560/3481,-528341/205379) (4560/3481,259301/205379) (7319/3721,-925664/226981) (7319/3721,479205/226981) (34041/3481,5359514/205379) (34041/3481,-7367933/205379) (44191/12996,-12257363/1481544) (44191/12996,7219589/1481544) (109233/121,-36707741/1331) (109233/121,35506178/1331) (181159/12321,-87825409/1367631) (181159/12321,67716760/1367631) (-53816/119025,-30922963/41063625) (-53816/119025,49489483/41063625) (119769/223729,-145453703/105823817) (119769/223729,88802966/105823817) (309553/207936,138309899/94818816) (309553/207936,-279466067/94818816) (16776703/1052676,-77868059671/1080045576) (16776703/1052676,60655162393/1080045576) (3018405/14776336,-63137425001/56800235584) (3018405/14776336,51534676181/56800235584) (12571363/33895684,-242190276763/197340672248) (12571363/33895684,168999801377/197340672248) (62382789/5973136,422560801025/14598344384) (62382789/5973136,-575024337341/14598344384) (-33083559461/31853325625,5148845649050012/5685022290921875) (-33083559461/31853325625,755742625751963/5685022290921875) # # a-invariants: (1, -1, 0, -7, -3) # Cremona label: 434a1 # (-2,1) (-1,-1) (-1,2) (6,9) (6,-15) (-26/49,295/343) (31/9,-106/27) (31/9,13/27) (-26/49,-113/343) (-2671/1600,-35797/64000) (-2671/1600,142637/64000) (11742/529,-1376313/12167) (11742/529,1106247/12167) (2818111/127449,-5117679974/45499293) (2818111/127449,4111614347/45499293) # # a-invariants: (1, -1, 0, -47, 133) # Cremona label: 434a2 # (19/4,-19/8) (3,2) (3,-5) (-3,-14) (-3,17) (97/9,614/27) (97/9,-905/27) (7,-14) (7,7) (351/100,-3181/1000) (-99/16,1003/64) (351/100,-329/1000) (-99/16,-607/64) (2167/441,-37654/9261) (2167/441,-7853/9261) (25297/289,-4209235/4913) (25297/289,3779186/4913) (19067041/846400,-87127255621/778688000) (19067041/846400,69585577901/778688000) # # a-invariants: (1, 0, 0, -4, 16) # Cremona label: 434b1 # (0,-4) (0,4) # # a-invariants: (1, 0, 0, 36, -424) # Cremona label: 434b2 # (10,26) (10,-36) # # a-invariants: (1, 0, 0, -3374, -75754) # Cremona label: 434b3 # # # a-invariants: (1, 1, 1, -32, 61) # Cremona label: 434c1 # (-7,3) # # a-invariants: (1, 1, 1, -522, 4373) # Cremona label: 434c2 # (51/4,-55/8) # # a-invariants: (1, 0, 0, 21, 49) # Cremona label: 434d1 # (-2,1) (14,-63) (0,-7) (0,7) (14,49) (2,9) (2,-11) (6,17) (6,-23) (-14/9,119/27) (-14/9,-77/27) (70,553) (70,-623) (-34/25,621/125) (48,-359) (48,311) (-34/25,-451/125) (1470/289,-96719/4913) (161/64,-6237/512) (1470/289,71729/4913) (161/64,4949/512) (7582/441,611309/9261) (7582/441,-770531/9261) (-176/529,-76831/12167) (-176/529,80879/12167) (198674/121,-89654481/1331) (198674/121,87469067/1331) (1298306/112225,1409909499/37595375) (1298306/112225,-1844842009/37595375) (58677934/38452401,2018752625449/238443338601) (58677934/38452401,-2382614494183/238443338601) (59956960/8473921,498718506727/24667584031) (59956960/8473921,-673253217287/24667584031) (-280716463/163430656,-4332450649329/2089297506304) (-280716463/163430656,7921129912321/2089297506304) # # a-invariants: (1, 0, 0, -139, 465) # Cremona label: 434d2 # (15/4,-15/8) (2,-15) (2,13) (58,405) (58,-463) (-4,33) (16,-57) (-4,-29) (16,41) (88/9,85/27) (-12,27) (-12,-15) (88/9,-349/27) (-286/25,3753/125) (-286/25,-2323/125) (10,5) (10,-15) (277/16,-4243/64) (-13/4,251/8) (277/16,3135/64) (-13/4,-225/8) (114/49,-4677/343) (634/9,14827/27) (114/49,3879/343) (634/9,-16729/27) (6568,-535585) (452/121,-4047/1331) (6568,529017) (452/121,-925/1331) (7340/4489,4440225/300763) (1216/25,38299/125) (7340/4489,-4932005/300763) (1216/25,-44379/125) (-13422/2809,5123901/148877) (203722/13689,-78876559/1601613) (-13422/2809,-4412535/148877) (203722/13689,55041085/1601613) (177601/18496,3567411/2515456) (177601/18496,-27721147/2515456) (-110209/8836,-9139821/830584) (-110209/8836,19499467/830584) (4399840/233289,-8738708845/112678587) (4399840/233289,6613586125/112678587) (3454406462488816/325842608334321,54260941425781090596623/5881821091572353480631) (3454406462488816/325842608334321,-116616815919284044471199/5881821091572353480631) # # a-invariants: (1, -1, 1, -2364, -43641) # Cremona label: 434e1 # # # a-invariants: (0, 1, 1, -11, 11) # Cremona label: 435a1 # (1,1) (1,-2) # # a-invariants: (0, 1, 1, 49, 80) # Cremona label: 435a2 # # # a-invariants: (0, -1, 1, 79, -1123) # Cremona label: 435b1 # # # a-invariants: (1, 0, 1, -28, 53) # Cremona label: 435c1 # (3,-2) # # a-invariants: (1, 0, 1, -33, 31) # Cremona label: 435c2 # (5,-3) (1,-1) (-25/4,21/8) # # a-invariants: (1, 0, 1, -258, -1589) # Cremona label: 435c3 # (-41/4,37/8) # # a-invariants: (1, 0, 1, 112, 263) # Cremona label: 435c4 # (-9/4,5/8) (9,-50) (9,40) # # a-invariants: (1, 0, 0, -30, -45) # Cremona label: 435d1 # (6,-3) (-3,6) (-3,-3) # # a-invariants: (1, 0, 0, -435, -3528) # Cremona label: 435d2 # (-12,6) (-49/4,49/8) (24,-12) # # a-invariants: (1, 0, 0, -6960, -224073) # Cremona label: 435d3 # (-193/4,193/8) # # a-invariants: (1, 0, 0, -390, -4275) # Cremona label: 435d4 # (60,405) (95/4,-95/8) (60,-465) # # a-invariants: (0, -1, 1, 19, 100) # Cremona label: 437a1 # (10,-35) (10,34) (-2/9,251/27) (-2/9,-278/27) (-47/16,-239/64) (-47/16,175/64) (22/9,-350/27) (22/9,323/27) (7858/289,-696907/4913) (7858/289,691994/4913) (354865/5184,-210496393/373248) (354865/5184,210123145/373248) (2662786/600625,-7621569341/465484375) (2662786/600625,7156084966/465484375) # # a-invariants: (0, -1, 1, 0, -5) # Cremona label: 437b1 # # # a-invariants: (1, 0, 0, -938, -9564) # Cremona label: 438a1 # (52,262) (-12,6) (-20,46) (52,-314) (-20,-26) # # a-invariants: (1, 0, 0, 1622, -52060) # Cremona label: 438a2 # (44,302) (95/4,-95/8) (188,-2722) (188,2534) (44,-346) # # a-invariants: (1, 0, 0, -72938, -7587996) # Cremona label: 438a3 # (-156,78) # # a-invariants: (1, 0, 0, -72898, -7596724) # Cremona label: 438a4 # (1247/4,-1247/8) # # a-invariants: (1, 0, 0, -13, -19) # Cremona label: 438b1 # (-2,1) # # a-invariants: (1, 0, 0, -3, -45) # Cremona label: 438b2 # (15/4,-15/8) # # a-invariants: (1, 1, 0, -5, -3) # Cremona label: 438c1 # (2,-1) (-1,2) (-2,-1) (-2,3) (-1,-1) (14,-61) (3,3) (3,-6) (14,47) (-14/25,51/125) (-43/16,101/64) (-14/25,19/125) (-43/16,71/64) (283/81,-5734/729) (1214/121,-50471/1331) (1214/121,37117/1331) (283/81,3187/729) (-7201/8281,-636091/753571) (-7201/8281,1291382/753571) (727401/1600,-635777169/64000) (1467602/724201,-274065131/616295051) (727401/1600,606681129/64000) (1467602/724201,-974864171/616295051) # # a-invariants: (1, 1, 0, -65, -231) # Cremona label: 438c2 # (-21/4,21/8) (13,30) (13,-43) (-5,3) (-5,2) (-407/81,2233/729) (-407/81,1430/729) (15,42) (15,-57) (-2099/400,20139/8000) (7279/4,613951/8) (-2099/400,21841/8000) (7279/4,-628509/8) (112975/9801,20396638/970299) (112975/9801,-31581163/970299) (526815251601/1158721600,-391804420078610619/39442883264000) (526815251601/1158721600,373871628914112579/39442883264000) # # a-invariants: (1, 0, 1, -1946, 32780) # Cremona label: 438d1 # (30,25) (-51,25) (21,25) (30,-56) (21,-47) (-24,-245) (669/25,-763/125) (165,-2135) (24,-20) (39/4,-1015/8) (669/25,-2707/125) (45,-215) (39/4,929/8) (24,-5) (-24,268) (45,169) (165,1969) (17310/361,-1706429/6859) (3486/25,-205531/125) (389/49,-47361/343) (53229/2209,-670345/103823) (-10779/529,3197495/12167) (6825/256,-82451/4096) (6825/256,-30845/4096) (389/49,44295/343) (53229/2209,-1935241/103823) (17310/361,1370680/6859) (-10779/529,-2961745/12167) (3486/25,187976/125) (99915285/5041,995186200295/357911) (99915285/5041,-1002280543441/357911) (18931431/925444,-45682393255/890277128) (18931431/925444,26580079505/890277128) (172899773470/6431879601,-12029087448620360/515830312120599) (1672657901265/8416961536,-2192446140574246679/772205719158784) (1672657901265/8416961536,2038217608361431735/772205719158784) (172899773470/6431879601,-2353131796020769/515830312120599) # # a-invariants: (1, 0, 1, -31106, 2108972) # Cremona label: 438d2 # (407/4,-411/8) (120,-389) (120,268) (102,-56) (102,-47) (2544/25,-6457/125) (2544/25,-6388/125) (558,12313) (192,1699) (558,-12872) (192,-1892) (423/4,137/8) (423/4,-991/8) (36750/361,-345656/6859) (6585/64,-36889/512) (6585/64,-16303/512) (36750/361,-359453/6859) (11834895/14884,39071301329/1815848) (2249094/13225,-2139030677/1520875) (57543753/565504,-21760642771/425259008) (1890758/17689,-340301667/2352637) (37320040/363609,-7925794399/219256227) (11834895/14884,-40516974367/1815848) (2249094/13225,1878863992/1520875) (57543753/565504,-21937518493/425259008) (37320040/363609,-14797445948/219256227) (1890758/17689,86478216/2352637) # # a-invariants: (1, 0, 1, -9641, -337876) # Cremona label: 438d3 # (-69,34) (1467,55330) (-66,142) (-66,-77) (1467,-56798) (372,-7085) (372,6712) (-2869/49,65934/343) (-2869/49,-46194/343) (-201/4,1337/8) (-201/4,-943/8) (4419/25,222362/125) (4419/25,-244582/125) (-3730821/83521,2077596898/24137569) (53092/441,-5192888/9261) (53092/441,4068695/9261) (-3730821/83521,-1023527198/24137569) (-2767979941/57259489,-44162018819778/433282553263) (355917801/2310400,4489813632989/3511808000) (355917801/2310400,-5034320498509/3511808000) (-2767979941/57259489,64674040480062/433282553263) # # a-invariants: (1, 0, 1, -32681, 1883180) # Cremona label: 438d4 # (551/4,-555/8) (1470,-56690) (156,688) (156,-845) (1470,55219) (2134/9,70625/27) (18740/49,2244360/343) (2134/9,-77054/27) (18740/49,-2375883/343) (12908001/23104,-45138138565/3511808) (12908001/23104,43172610605/3511808) (19551/100,1627021/1000) (19551/100,-1823531/1000) (5330465380/36832761,-113703360438200/223538026509) (5330465380/36832761,81129228020471/223538026509) (23112700869183689/132292323385600,1738534808937532384633107/1521605136809429504000) (23112700869183689/132292323385600,-2005895001439553535624867/1521605136809429504000) # # a-invariants: (1, 0, 1, -130, -556) # Cremona label: 438e1 # (13,-7) # # a-invariants: (1, 0, 1, -2050, -35884) # Cremona label: 438e2 # (-105/4,101/8) # # a-invariants: (1, 1, 1, -19, 17) # Cremona label: 438f1 # (3,-2) (-1,-6) (-1,6) (5,-12) (1,-2) (-5,-2) (11,30) (-5,6) (5,6) (11,-42) (1,0) (-13/4,69/8) (11/25,294/125) (-13/4,-51/8) (31/9,22/27) (11/25,-474/125) (39,-266) (31/9,-142/27) (39,226) (965/289,-23322/4913) (2459/49,-131790/343) (-359/121,11360/1331) (-359/121,-8742/1331) (2459/49,114234/343) (115/361,18754/6859) (965/289,2004/4913) (115/361,-27798/6859) (34329/6400,-6957643/512000) (-146641/28561,25118826/4826809) (34329/6400,3699323/512000) (147787/15129,45431546/1860867) (-146641/28561,-5163306/4826809) (147787/15129,-65470214/1860867) (64342140031/5149067049,13749062960409902/369481604235093) (57267472359/12223734721,-14383191121006174/1351468334488481) (64342140031/5149067049,-18735543506849462/369481604235093) (57267472359/12223734721,6700173775034294/1351468334488481) # # a-invariants: (1, 1, 1, -99, -399) # Cremona label: 438f2 # (11,-6) (-5,2) (-29/4,25/8) (-47/9,130/27) (157,1892) (13,20) (-47/9,-16/27) (157,-2050) (-7,6) (13,-34) (-7,0) (-10709/1681,500434/68921) (355/9,6014/27) (1361/64,39195/512) (-581/100,-2023/1000) (-581/100,6833/1000) (355/9,-7106/27) (1361/64,-50595/512) (-10709/1681,-130286/68921) (-2377727/363609,1567699984/219256227) (-246727/43681,-16741146/9129329) (-246727/43681,59177760/9129329) (5145757/279841,-11288239612/148035889) (715453/14161,-643426580/1685159) (715453/14161,556602514/1685159) (-2377727/363609,-353186830/219256227) (5145757/279841,8418098270/148035889) (1174723441/96825600,12219231103519/952763904000) (1174723441/96825600,-24731273666959/952763904000) (892552817020768989955/62940829667618308329,14265784067072593872500305802146/499342688299733224563424463733) (892552817020768989955/62940829667618308329,-21846217447285280521157077840414/499342688299733224563424463733) # # a-invariants: (1, 1, 1, -1559, -24343) # Cremona label: 438f3 # (-93/4,89/8) (-209/9,308/27) (159,-2024) (-209/9,292/27) (159,1864) (-3896661/168100,774532817/68921000) (-3896661/168100,754177193/68921000) (28633/576,-2497063/13824) (28633/576,1796047/13824) (229491035439/3962828401,64871453467334744/249464010671351) (-368284502849/15882804729,22651421809104692/2001662231581683) (-368284502849/15882804729,21760706999864548/2001662231581683) (229491035439/3962828401,-79567607649926584/249464010671351) # # a-invariants: (1, 1, 1, 81, -1479) # Cremona label: 438f4 # (35/4,-39/8) (27,-160) (27,132) (213/16,2535/64) (327/4,5655/8) (213/16,-3451/64) (1411/9,51160/27) (1411/9,-55420/27) (11,-36) (11,24) (327/4,-6317/8) (1473603/1369,-1817224060/50653) (34771/900,6144491/27000) (2140385/107584,2887005699/35287552) (34771/900,-7214621/27000) (1473603/1369,1762650096/50653) (2140385/107584,-3624339531/35287552) (30850634651/618566641,-5933033170873656/15384370928311) (1714421586451/101752706169,-2592216734126667400/32457790482730803) (1714421586451/101752706169,2012880745046691460/32457790482730803) (30850634651/618566641,5150362665540324/15384370928311) # # a-invariants: (1, 0, 1, -8, 2) # Cremona label: 438g1 # (-3,1) (3,1) (0,-2) (0,1) (3,-5) (6,10) (-1,-3) (-1,3) (6,-17) (21,-107) (-9/4,29/8) (-9/4,-19/8) (21,85) (15/49,-197/343) (22/9,-50/27) (22/9,-43/27) (15/49,-251/343) (651/25,-18289/125) (-288/121,4691/1331) (651/25,14909/125) (-288/121,-2854/1331) (5577/1024,268523/32768) (5577/1024,-479755/32768) (-835/961,83871/29791) (-835/961,-87777/29791) (-2016/28561,5805262/4826809) (-2016/28561,-10291367/4826809) (-2659809/889249,499412269/838561807) (-2659809/889249,1170225811/838561807) (887926/441,827414435/9261) (887926/441,-846070142/9261) (1742895/27604516,-270470962001/145034127064) (1742895/27604516,116279664607/145034127064) # # a-invariants: (1, 0, 1, -98, 362) # Cremona label: 438g2 # (23/4,-27/8) (24,-122) (6,-2) (24,97) (6,-5) (8,-15) (8,6) (70/9,-374/27) (70/9,137/27) (87/4,653/8) (87/4,-835/8) (1545/256,-21197/4096) (1545/256,-7619/4096) (2536/441,-31730/9261) (8054,718782) (8054,-726837) (2536/441,-30787/9261) (80646/3025,-23922659/166375) (80646/3025,19320754/166375) (7456649/984064,4147100469/976191488) (7456649/984064,-12520287765/976191488) (789590808232/392158809,693835002887612627/7765920894627) (789590808232/392158809,-709479035583925550/7765920894627) # # a-invariants: (0, 0, 0, -38, -87) # Cremona label: 440a1 # (-3,0) (-4,1) (-4,-1) (8,11) (8,-11) (33,186) (-119/36,341/216) (-119/36,-341/216) (33,-186) (-4732/1369,-88475/50653) (-4732/1369,88475/50653) (13184/625,1440373/15625) (13184/625,-1440373/15625) (1293097/138384,-995307947/51478848) (1293097/138384,995307947/51478848) # # a-invariants: (0, 0, 0, 17, -318) # Cremona label: 440a2 # (6,0) (131,-1500) (7,-12) (131,1500) (7,12) (1177/36,-40517/216) (10266/961,980250/29791) (1177/36,40517/216) (10266/961,-980250/29791) (17658271/855625,74341635444/791453125) (17658271/855625,-74341635444/791453125) # # a-invariants: (0, 0, 0, 2, -3) # Cremona label: 440b1 # (1,0) (2,-3) (6,-15) (6,15) (2,3) (49/4,345/8) (49/4,-345/8) (13/9,46/27) (13/9,-46/27) (1706/25,70479/125) (1806/1681,42975/68921) (1806/1681,-42975/68921) (1706/25,-70479/125) (227497/76176,114403733/21024576) (227497/76176,-114403733/21024576) # # a-invariants: (0, 0, 0, -23, -38) # Cremona label: 440b2 # (-2,0) (9,22) (-3,2) (-3,-2) (9,-22) (-29/9,-44/27) (7,-12) (-29/9,44/27) (7,12) (-51/25,82/125) (273,-4510) (-51/25,-82/125) (273,4510) (457/36,-8947/216) (457/36,8947/216) (-1454/529,25674/12167) (-1454/529,-25674/12167) (105081/17689,-13919114/2352637) (105081/17689,13919114/2352637) (2870911/42025,4852111284/8615125) (2870911/42025,-4852111284/8615125) # # a-invariants: (0, 0, 0, -5042, 137801) # Cremona label: 440c1 # (40,-11) (41,0) (40,11) # # a-invariants: (0, 0, 0, -5047, 137514) # Cremona label: 440c2 # (39,0) (-82,0) (43,0) # # a-invariants: (0, 0, 0, -7547, -12986) # Cremona label: 440c3 # (-86,0) # # a-invariants: (0, 0, 0, -2627, 269646) # Cremona label: 440c4 # (47,-500) (47,500) (-78,0) # # a-invariants: (0, 0, 0, -67, -226) # Cremona label: 440d1 # # # a-invariants: (0, 0, 1, 0, -4202) # Cremona label: 441a1 # # # a-invariants: (0, 0, 1, 0, 113447) # Cremona label: 441a2 # # # a-invariants: (0, 0, 1, 0, 12) # Cremona label: 441b1 # (0,-4) (0,3) (-7/4,17/8) (14,-53) (2,4) (14,52) (2,-5) (-7/4,-25/8) (-20/9,-44/27) (105/16,-1131/64) (84/25,823/125) (84/25,-948/125) (105/16,1067/64) (-20/9,17/27) (19418/289,2703467/4913) (1241/1444,169529/54872) (1241/1444,-224401/54872) (19418/289,-2708380/4913) (1588840/33489,1999770677/6128487) (-1608936/1600225,5772558012/2024284625) (1588840/33489,-2005899164/6128487) (-1608936/1600225,-7796842637/2024284625) # # a-invariants: (0, 0, 1, 0, -331) # Cremona label: 441b2 # (21,-95) (21,94) (7,-4) (7,3) (57/4,-409/8) (57/4,401/8) (427,-8824) (427,8823) (29001/841,-4931014/24389) (29001/841,4906625/24389) (27721/3600,2314981/216000) (27721/3600,-2530981/216000) # # a-invariants: (1, -1, 0, 432, -869) # Cremona label: 441c1 # (2,-1) (71/4,-953/8) (71/4,811/8) (30,-211) (30,181) (177/64,-10165/512) (578,-14185) (578,13607) (177/64,8749/512) # # a-invariants: (1, -1, 0, -1773, -5720) # Cremona label: 441c2 # (44,-22) (-40,20) (-13/4,13/8) (183/4,503/8) (2312,109976) (-619/16,-2731/64) (2312,-112288) (-4,-34) (-4,38) (-619/16,5207/64) (183/4,-869/8) (37041/64,6957131/512) (1759916/34225,-1382291294/6331625) (37041/64,-7253459/512) (1759916/34225,1056706834/6331625) # # a-invariants: (1, -1, 0, -21618, -1216265) # Cremona label: 441c3 # (170,-85) (-82,41) (-349/4,349/8) (-113014/1369,794219/50653) (9255/4,879115/8) (9255/4,-897625/8) (-1387/16,1109/64) (-1387/16,4439/64) (5006/25,183289/125) (-113014/1369,3387299/50653) (5006/25,-208319/125) (1283985249/2190400,-45313829017867/3241792000) (1283985249/2190400,43413530849347/3241792000) # # a-invariants: (1, -1, 0, -17208, 867901) # Cremona label: 441c4 # (323/4,-323/8) (20,719) (44,-463) (20,-739) (44,419) (327/4,-725/8) (37013/16,-7182505/64) (327/4,71/8) (37013/16,7034453/64) (3541316/61009,3317772401/15069223) (3541316/61009,-4192477453/15069223) # # a-invariants: (1, -1, 0, -345753, -78165914) # Cremona label: 441c5 # (-1357/4,1357/8) (234399/100,-110651813/1000) (234399/100,108307823/1000) (-7430707/21904,548513633/3241792) (-7430707/21904,551231003/3241792) # # a-invariants: (1, -1, 0, -15003, -1979636) # Cremona label: 441c6 # (659/4,-659/8) (16724/25,-2159492/125) (16724/25,2075872/125) (296,-4558) (296,4262) (78221/400,-13521791/8000) (12667071/5476,-45477659557/405224) (78221/400,11957371/8000) (12667071/5476,44540296303/405224) # # a-invariants: (1, -1, 1, -20, 46) # Cremona label: 441d1 # (-5,2) (4,-7) (4,2) (2,2) (2,-5) (43/4,-299/8) (-1,8) (43/4,205/8) (-1,-8) (-44/25,1114/125) (130/9,1174/27) (-44/25,-1019/125) (130/9,-1591/27) (929/256,5513/4096) (5083/2209,-492914/103823) (929/256,-24473/4096) (5083/2209,150190/103823) (172084/361,-72964618/6859) (172084/361,69688163/6859) (-587054717311/230185010176,-867710754166886737/110437243442200576) (-587054717311/230185010176,1038928274777288497/110437243442200576) # # a-invariants: (1, -1, 1, -335, 2440) # Cremona label: 441d2 # (43/4,-47/8) (16,23) (10,-10) (16,-40) (10,-1) (-5,65) (11,-7) (-5,-61) (11,-5) (274/25,-842/125) (-8,-64) (-8,71) (274/25,-653/125) (625/64,-5717/512) (59/4,-251/8) (625/64,205/512) (59/4,125/8) (1906,-84145) (3880/361,-39664/6859) (3880/361,-40915/6859) (1906,82238) (3979/225,-175547/3375) (3979/225,112487/3375) (-18710/8281,42973874/753571) (-18710/8281,-42024835/753571) (6180929/565504,-2776200055/425259008) (6180929/565504,-2297117561/425259008) (-4530965/407044,19103157943/259694072) (-4530965/407044,-16472096345/259694072) # # a-invariants: (1, -1, 1, -965, -13940) # Cremona label: 441d3 # (37,-19) (380,-7565) (46,-217) (46,170) (380,7184) (179969/1849,-75340999/79507) (179969/1849,67522825/79507) # # a-invariants: (1, -1, 1, -16400, -804212) # Cremona label: 441d4 # (-293/4,289/8) (-74,41) (-74,32) (184,-1636) (184,1451) (-136211/1849,3404312/79507) (-136211/1849,2373254/79507) (389,6986) (389,-7376) (52068094/42025,-378848859163/8615125) (52068094/42025,368166284768/8615125) # # a-invariants: (0, 0, 1, -1029, -13806) # Cremona label: 441e1 # # # a-invariants: (0, 0, 1, -402339, 98307144) # Cremona label: 441e2 # # # a-invariants: (0, 0, 1, -21, 40) # Cremona label: 441f1 # (4,4) (4,-5) (1,4) (1,-5) (-5,4) (-5,-5) (2,2) (2,-3) (25/4,-103/8) (25/4,95/8) (46,310) (46,-311) (151/49,580/343) (151/49,-923/343) (-19/25,871/125) (-19/25,-996/125) (-824/289,40640/4913) (-824/289,-45553/4913) (5041/1936,110345/85184) (5041/1936,-195529/85184) (38560/2809,7125323/148877) (38560/2809,-7274200/148877) (56197/4761,-12616937/328509) (56197/4761,12288428/328509) # # a-invariants: (0, 0, 1, -8211, -286610) # Cremona label: 441f2 # (235,3280) (235,-3281) (106,184) (106,-185) (703516/1849,-571558622/79507) (703516/1849,571479115/79507) (7669517/1681,21235622187/68921) (7669517/1681,-21235691108/68921) # # a-invariants: (1, -1, 1, -94, 361) # Cremona label: 442a1 # (5,-3) # # a-invariants: (1, -1, 1, 36, 1193) # Cremona label: 442a2 # (-37/4,33/8) # # a-invariants: (1, -1, 1, -172, -465) # Cremona label: 442b1 # (-11,5) (-9,21) (93,-931) (-9,-13) (93,837) (25,89) (-47/9,499/27) (25,-115) (-47/9,-385/27) (15,5) (15,-21) (-3,5) (-3,-3) (157/9,-1337/27) (157/9,839/27) (-59/16,-577/64) (-59/16,749/64) (999/25,-31953/125) (999/25,26833/125) (-339/49,-5445/343) (-339/49,7475/343) (-839/81,-4571/729) (313,-5683) (-839/81,11393/729) (313,5369) (53685/121,-12718785/1331) (-5577/529,-56205/12167) (-5577/529,172309/12167) (53685/121,12126919/1331) (25705/576,3576625/13824) (25705/576,-4207369/13824) (6546409/442225,241900597/294079625) (6546409/442225,-4889342207/294079625) (190237107855/15626209,82595519241239893/61770404177) (190237107855/15626209,-83347588298994885/61770404177) (2662086437737/23895903889,4090230149475621403/3693900510873287) (2662086437737/23895903889,-4505437357791193361/3693900510873287) # # a-invariants: (1, -1, 1, -1212, 16175) # Cremona label: 442b2 # (91/4,-95/8) (95,-915) (95,819) (27,-65) (27,37) (277/9,1883/27) (61,377) (61,-439) (277/9,-2741/27) (23,-3) (23,-21) (1251,43591) (1251,-44843) (703/4,-18965/8) (3565/144,29477/1728) (703/4,17551/8) (3565/144,-73985/1728) (53951/1225,8308719/42875) (13419/361,-1135865/6859) (13419/361,874045/6859) (53951/1225,-10239879/42875) (25405/81,3905785/729) (25405/81,-4135159/729) (28428647/64009,147392443233/16194277) (8765091/373321,-6469668889/228099131) (8765091/373321,886099157/228099131) (28428647/64009,-154601085201/16194277) # # a-invariants: (1, 1, 0, -54, -172) # Cremona label: 442c1 # (-4,2) # # a-invariants: (1, 1, 0, 26, -540) # Cremona label: 442c2 # (27/4,-27/8) # # a-invariants: (1, 1, 1, -9, -13) # Cremona label: 442d1 # (3,-2) # # a-invariants: (1, 1, 1, -139, -689) # Cremona label: 442d2 # (-29/4,25/8) # # a-invariants: (1, 1, 1, -144951, 7520141) # Cremona label: 442e1 # (-405,202) # # a-invariants: (1, 1, 1, -1875511, 987017101) # Cremona label: 442e2 # (3235/4,-3239/8) # # a-invariants: (0, 1, 1, 1, 1) # Cremona label: 443a1 # (-1,0) (-1,-1) (5,12) (5,-13) (-11/36,109/216) (-11/36,-325/216) (521/625,-36444/15625) (521/625,20819/15625) (-1885295/6780816,9072169343/17657244864) (-1885295/6780816,-26729414207/17657244864) (3070873139/656948161,-200341157818775/16838238314591) (3070873139/656948161,183502919504184/16838238314591) # # a-invariants: (1, 0, 0, -3, -2) # Cremona label: 443b1 # (-1,1) (-1,0) (2,0) (2,-2) (-11/9,29/27) (-11/9,4/27) (83/4,-841/8) (83/4,675/8) (-691/841,3164/24389) (-691/841,16875/24389) (17314/5625,-2549912/421875) (17314/5625,1251362/421875) # # a-invariants: (1, 0, 1, -84, -301) # Cremona label: 443c1 # # # a-invariants: (0, -1, 0, -13, -14) # Cremona label: 444a1 # (-2,0) # # a-invariants: (0, -1, 0, -28, 40) # Cremona label: 444a2 # (5,0) # # a-invariants: (0, 1, 0, -9, 0) # Cremona label: 444b1 # (0,0) (-3,-3) (3,3) (3,-3) (-3,3) (9,-27) (-1,-3) (-1,3) (9,27) (12,42) (12,-42) (-3/4,21/8) (-3/4,-21/8) (25/9,-55/27) (-81/25,297/125) (25/9,55/27) (-81/25,-297/125) (-3/169,-879/2197) (507,11427) (507,-11427) (-3/169,879/2197) (-784/289,16884/4913) (-784/289,-16884/4913) (2601/784,92259/21952) (2601/784,-92259/21952) (458329/27225,-314548417/4492125) (458329/27225,314548417/4492125) (1866898659025/329540291136,-2414667455538362695/189174581368367616) (1866898659025/329540291136,2414667455538362695/189174581368367616) # # a-invariants: (0, 1, 0, 36, 36) # Cremona label: 444b2 # (-1,0) (36,-222) (36,222) (0,-6) (0,6) (8,30) (8,-30) (28/9,370/27) (28/9,-370/27) (45/4,-357/8) (99/49,3774/343) (45/4,357/8) (99/49,-3774/343) (8204/121,-751470/1331) (8204/121,751470/1331) (-104/225,14894/3375) (-104/225,-14894/3375) (85680/169,25105998/2197) (85680/169,-25105998/2197) (8019703/363609,-24064068140/219256227) (137033/226576,-823906035/107850176) (8019703/363609,24064068140/219256227) (137033/226576,823906035/107850176) # # a-invariants: (1, 1, 0, -30, 52) # Cremona label: 446a1 # (4,-6) (4,2) (3,-2) (3,-1) (12,-46) (12,34) (13,-52) (13,39) (244/81,-694/729) (244/81,-1502/729) (391/100,-5641/1000) (391/100,1731/1000) (7284,-625358) (7284,618074) (33933/8281,-4816811/753571) (33933/8281,1728908/753571) # # a-invariants: (1, 1, 1, -39, -35) # Cremona label: 446b1 # (-5,-6) (-5,10) (11,26) (11,-38) (-1,2) (-1,-2) (7,-14) (7,6) (-29/9,254/27) (-29/9,-194/27) (91,826) (91,-918) (-25/4,-5/8) (-25/4,47/8) (611/25,-16574/125) (611/25,13394/125) (-965/529,-65482/12167) (-965/529,75510/12167) (2671/441,-29714/9261) (2671/441,-35638/9261) (-4889/2809,-770746/148877) (-4889/2809,880986/148877) (1139761/10816,-1281713061/1124864) (1139761/10816,1162053053/1124864) (-31510445/9418761,-208977765470/28906177509) (-31510445/9418761,276777143666/28906177509) # # a-invariants: (1, 1, 1, 2, -5) # Cremona label: 446c1 # (1,-1) # # a-invariants: (1, 1, 1, -38, -101) # Cremona label: 446c2 # (-13/4,9/8) # # a-invariants: (1, -1, 0, -4, 4) # Cremona label: 446d1 # (2,0) (2,-2) (1,-1) (1,0) (0,2) (0,-2) (-2,0) (-2,2) (-1,-2) (-1,3) (3,-5) (3,2) (6,-16) (6,10) (5,-12) (5,7) (7/4,-5/8) (7/4,-9/8) (3/4,-11/8) (3/4,5/8) (10/9,-16/27) (10/9,-14/27) (16/9,-34/27) (16/9,-14/27) (16,54) (16,-70) (22,-112) (22,90) (26/25,-16/125) (26/25,-114/125) (-17/9,-14/27) (-17/9,65/27) (14/25,-198/125) (14/25,128/125) (35,-222) (35,187) (-3/16,-133/64) (-3/16,145/64) (-19/16,195/64) (-19/16,-119/64) (32/49,286/343) (32/49,-510/343) (69/25,187/125) (69/25,-532/125) (85/49,-351/343) (85/49,-244/343) (-38/49,-720/343) (-38/49,986/343) (306/121,-4736/1331) (306/121,1370/1331) (81/121,-1955/1331) (81/121,1064/1331) (-143/81,1952/729) (-143/81,-665/729) (355/169,-5049/2197) (355/169,434/2197) (496,-11286) (496,10790) (319/289,-3330/4913) (319/289,-2093/4913) (42/289,-9424/4913) (42/289,8710/4913) (752/361,-15410/6859) (752/361,1122/6859) (786/289,6944/4913) (786/289,-20306/4913) (693/361,-1132/6859) (693/361,-12035/6859) (1206/169,-45934/2197) (1206/169,30256/2197) (-1010/529,-5346/12167) (-1010/529,28576/12167) (1505/64,51221/512) (1505/64,-63261/512) (2822/841,-149758/24389) (2822/841,67920/24389) (2257/1024,-85239/32768) (2257/1024,13015/32768) (-1920/1369,152966/50653) (-1920/1369,-81926/50653) (3968/3721,-190710/226981) (3968/3721,-51338/226981) (6307/9,491150/27) (6307/9,-510071/27) (4303/4489,35649/300763) (4303/4489,-323950/300763) (11506/6561,-608626/531441) (11506/6561,-323360/531441) (659/3844,412335/238328) (659/3844,-453193/238328) (10471/900,864229/27000) (10471/900,-1178359/27000) (9310/9801,-1059578/970299) (9310/9801,137888/970299) (-6162/5041,1091230/357911) (-6162/5041,-653728/357911) (9139/8836,-90153/830584) (9139/8836,-768913/830584) (16775/3844,-2293419/238328) (16775/3844,1253369/238328) (52882/361,11626112/6859) (52882/361,-12630870/6859) (-44576/46225,29663902/9938375) (-44576/46225,-20080062/9938375) (154262/89401,-21747120/26730899) (154262/89401,-24377218/26730899) (-155744/75625,33221146/20796875) (-155744/75625,9608454/20796875) (-21570/137641,113577568/51064811) (-21570/137641,-105575098/51064811) (443619/60025,215685007/14706125) (443619/60025,-324371662/14706125) (666670/741321,174833098/638277381) (666670/741321,-748835968/638277381) (1188912/231361,-1395097270/111284641) (1188912/231361,823230598/111284641) (3833846/1256641,-7269342640/1408694561) (3833846/1256641,2971601274/1408694561) (19927501/36820624,237128668011/223427546432) (19927501/36820624,-358048744079/223427546432) (-79393379/39992976,-21533499965/252915580224) (-79393379/39992976,523617228761/252915580224) (2097505315/1127817889,-11283497470539/37875508166287) (2097505315/1127817889,-59157023523106/37875508166287) # # a-invariants: (0, 0, 0, 4, 16) # Cremona label: 448a1 # (-2,0) (0,-4) (0,4) (6,16) (6,-16) (46/9,352/27) (1/4,33/8) (46/9,-352/27) (1/4,-33/8) (1056,34316) (-1050/529,-5968/12167) (1056,-34316) (-1050/529,5968/12167) (217534/30625,-107562048/5359375) (217534/30625,107562048/5359375) (-4223/17424,-8912575/2299968) (-4223/17424,8912575/2299968) (-151907141714/78308746569,-21256558487556128/21913684713629253) (-151907141714/78308746569,21256558487556128/21913684713629253) # # a-invariants: (0, 0, 0, -76, 240) # Cremona label: 448a2 # (4,0) (6,0) (-10,0) (8,12) (22/9,224/27) (-3,-21) (-3,21) (22,-96) (8,-12) (22/9,-224/27) (22,96) (-524/121,29400/1331) (-524/121,-29400/1331) (1814/625,103488/15625) (1814/625,-103488/15625) (265/36,-1925/216) (1446/49,52800/343) (1446/49,-52800/343) (265/36,1925/216) (1674838/277729,-145774368/146363183) (1674838/277729,145774368/146363183) (-2760362/281961,1012733792/149721291) (558632/529,-417516804/12167) (558632/529,417516804/12167) (-2760362/281961,-1012733792/149721291) (4728203041/533610000,199623436773839/12326391000000) (4728203041/533610000,-199623436773839/12326391000000) # # a-invariants: (0, 0, 0, -236, -1104) # Cremona label: 448a3 # (-12,0) (86,784) (-10,-16) (-10,16) (86,-784) (24,84) (-59/9,-343/27) (-59/9,343/27) (24,-84) (16790/961,-306544/29791) (-1546/289,11408/4913) (-1546/289,-11408/4913) (16790/961,306544/29791) (-561756/75625,-321632472/20796875) (-561756/75625,321632472/20796875) (54457/1764,10744525/74088) (54457/1764,-10744525/74088) (155152784184/146918641,-61107314752691676/1780800847561) (155152784184/146918641,61107314752691676/1780800847561) # # a-invariants: (0, 0, 0, -1196, 15920) # Cremona label: 448a4 # (20,0) (22,-16) (22,16) (29,-75) (118,-1232) (982/49,-176/343) (118,1232) (184/9,100/27) (982/49,176/343) (29,75) (184/9,-100/27) (208580/5929,60192600/456533) (455929/22500,-7724717/3375000) (208580/5929,-60192600/456533) (455929/22500,7724717/3375000) (157543779544/149157369,-62498832977026700/1821658947597) (157543779544/149157369,62498832977026700/1821658947597) # # a-invariants: (0, 0, 0, 4, -16) # Cremona label: 448b1 # (2,0) (4,8) (10,-32) (10,32) (4,-8) (274/9,-4544/27) (41/16,213/64) (41/16,-213/64) (274/9,4544/27) (29380/529,-5038936/12167) (32554/14161,3895648/1685159) (29380/529,5038936/12167) (32554/14161,-3895648/1685159) (21927457/2903616,-104359040335/4947761664) (21927457/2903616,104359040335/4947761664) (1615572929386/3568509169,2053496899730887264/213172032228553) (1615572929386/3568509169,-2053496899730887264/213172032228553) # # a-invariants: (0, 0, 0, -76, -240) # Cremona label: 448b2 # (-4,0) (10,0) (-6,0) (12,24) (-23/4,-21/8) (-38/9,64/27) (12,-24) (-38/9,-64/27) (122,1344) (122,-1344) (-23/4,21/8) (62506/3025,-13931904/166375) (-24196/5041,1349040/357911) (-24196/5041,-1349040/357911) (4465/144,-285065/1728) (62506/3025,13931904/166375) (4465/144,285065/1728) (418288908/7491169,8444010001608/20503329553) (418288908/7491169,-8444010001608/20503329553) # # a-invariants: (0, 0, 0, -1196, -15920) # Cremona label: 448b3 # (-20,0) (-719/36,-55/216) (124,-1320) (-719/36,55/216) (124,1320) (18151489/435600,-23353359263/287496000) (18151489/435600,23353359263/287496000) # # a-invariants: (0, 0, 0, -236, 1104) # Cremona label: 448b4 # (12,0) (26,112) (26,-112) (5,7) (-16,28) (-6,-48) (5,-7) (-6,48) (-16,-28) (10/9,-784/27) (10/9,784/27) (1802/121,39760/1331) (489/4,10731/8) (1802/121,-39760/1331) (489/4,-10731/8) (1994/25,87472/125) (1994/25,-87472/125) (124/9,584/27) (124/9,-584/27) (10181/4489,-7245959/300763) (-425366/29241,-190976912/5000211) (10181/4489,7245959/300763) (-425366/29241,190976912/5000211) (333393996/15249025,-4761935162544/59547442625) (333393996/15249025,4761935162544/59547442625) # # a-invariants: (0, -1, 0, -33, 161) # Cremona label: 448c1 # (-7,0) # # a-invariants: (0, -1, 0, -673, 6945) # Cremona label: 448c2 # (15,0) # # a-invariants: (0, -1, 0, 287, -3231) # Cremona label: 448c3 # (9,0) # # a-invariants: (0, -1, 0, -2273, -33439) # Cremona label: 448c4 # (-17,0) # # a-invariants: (0, -1, 0, -10913, -436447) # Cremona label: 448c5 # (121,0) # # a-invariants: (0, -1, 0, -174753, -28059871) # Cremona label: 448c6 # (-241,0) # # a-invariants: (0, -1, 0, 7, -7) # Cremona label: 448d1 # (1,0) # # a-invariants: (0, -1, 0, -33, -31) # Cremona label: 448d2 # (-1,0) # # a-invariants: (0, -1, 0, -1, 33) # Cremona label: 448e1 # (-3,0) # # a-invariants: (0, -1, 0, -161, 833) # Cremona label: 448e2 # (7,0) # # a-invariants: (0, 1, 0, -33, -161) # Cremona label: 448f1 # (7,0) # # a-invariants: (0, 1, 0, -673, -6945) # Cremona label: 448f2 # (-15,0) # # a-invariants: (0, 1, 0, 287, 3231) # Cremona label: 448f3 # (-9,0) # # a-invariants: (0, 1, 0, -2273, 33439) # Cremona label: 448f4 # (17,0) # # a-invariants: (0, 1, 0, -10913, 436447) # Cremona label: 448f5 # (-121,0) # # a-invariants: (0, 1, 0, -174753, 28059871) # Cremona label: 448f6 # (241,0) # # a-invariants: (0, 1, 0, 7, 7) # Cremona label: 448g1 # (-1,0) (3,8) (1,4) (1,-4) (3,-8) (31,176) (-3/4,-11/8) (31,-176) (-3/4,11/8) (401/49,8940/343) (-29/225,-8344/3375) (-29/225,8344/3375) (401/49,-8940/343) (14193/1936,-1916303/85184) (14193/1936,1916303/85184) (11951523/312481,41954254168/174676879) (11951523/312481,-41954254168/174676879) # # a-invariants: (0, 1, 0, -33, 31) # Cremona label: 448g2 # (1,0) (-1,-8) (-1,8) (15,-56) (15,56) (5,-4) (-6,-7) (-6,7) (5,4) (-41/9,-280/27) (151/25,1176/125) (-41/9,280/27) (151/25,-1176/125) (125/4,-1397/8) (9/121,-7112/1331) (9/121,7112/1331) (125/4,1397/8) (26055/169,-4216408/2197) (26055/169,4216408/2197) (1511/1849,182104/79507) (1511/1849,-182104/79507) (99829/11025,-27310508/1157625) (99829/11025,27310508/1157625) # # a-invariants: (0, 1, 0, -1, -33) # Cremona label: 448h1 # (3,0) # # a-invariants: (0, 1, 0, -161, -833) # Cremona label: 448h2 # (-7,0) # # a-invariants: (1, -1, 1, -680, 9447) # Cremona label: 450a1 # (-31,15) # # a-invariants: (1, -1, 1, -11930, 504447) # Cremona label: 450a2 # (251/4,-255/8) # # a-invariants: (1, -1, 1, -6305, -924303) # Cremona label: 450a3 # (119,-60) # # a-invariants: (1, -1, 1, -186305, -30804303) # Cremona label: 450a4 # (-949/4,945/8) # # a-invariants: (1, -1, 1, -5, 47) # Cremona label: 450b1 # # # a-invariants: (1, -1, 1, -1130, 14897) # Cremona label: 450b2 # (19,-15) (19,-5) # # a-invariants: (1, -1, 1, -680, -8053) # Cremona label: 450b3 # # # a-invariants: (1, -1, 1, 4945, 59447) # Cremona label: 450b4 # (19,390) (19,-410) # # a-invariants: (1, -1, 0, -27, 81) # Cremona label: 450c1 # (-6,3) (9,-27) (9,18) (0,9) (0,-9) (4,-7) (3,3) (3,-6) (4,3) (18,-81) (-9/4,-81/8) (-9/4,99/8) (18,63) (84,-807) (-5,11) (84,723) (-5,-6) (81/49,1854/343) (144/25,-1557/125) (144/25,837/125) (81/49,-2421/343) (154/81,-4933/729) (345/64,-5673/512) (154/81,3547/729) (345/64,2913/512) (7209/121,566343/1331) (-2448/529,-87777/12167) (-2448/529,144081/12167) (7209/121,-645642/1331) (6187/289,-517926/4913) (6187/289,412747/4913) (2547364/312481,2568992087/174676879) (158979/442225,2429336778/294079625) (158979/442225,-2535057813/294079625) (2547364/312481,-3992968563/174676879) (-22272623/58247424,-4159386047681/444544339968) (-22272623/58247424,4329370706417/444544339968) # # a-invariants: (1, -1, 0, -477, 4131) # Cremona label: 450c2 # (51/4,-51/8) (9,-27) (9,18) (15,-21) (15,6) (13,-6) (-21,78) (-21,-57) (13,-7) (189/16,-783/64) (87/4,399/8) (87/4,-573/8) (189/16,27/64) (3651/289,-37041/4913) (85,-799) (3651/289,-25026/4913) (85,714) (9/361,-440298/6859) (16431/1225,-144159/42875) (16431/1225,-430926/42875) (9/361,440127/6859) (-31701/11236,89592693/1191016) (-31701/11236,-86232387/1191016) (68905/5184,-3439297/373248) (68905/5184,-1521863/373248) (3901407/64009,-7712337234/16194277) (3901407/64009,6725281263/16194277) (2005307423149/138186910225,-904008464440344138/51368911072490375) (2005307423149/138186910225,158565509496050623/51368911072490375) # # a-invariants: (1, -1, 0, -252, -7344) # Cremona label: 450c3 # (24,-12) (120,-1356) (120,1236) (39,183) (39,-222) (33,-156) (184,-2572) (184,2388) (33,123) (20568/841,-930684/24389) (20568/841,334212/24389) (12711/4,-1445601/8) (12711/4,1420179/8) (45865/961,-9529836/29791) (45865/961,8108021/29791) (159159035625/200279104,-64579183755876903/2834349879808) (159159035625/200279104,62326765083711903/2834349879808) # # a-invariants: (1, -1, 0, -7452, -244944) # Cremona label: 450c4 # (-189/4,189/8) (-51,3) (-51,48) (135,1026) (135,-1161) (-48141/961,1571778/29791) (-48141/961,-79407/29791) (193,-2437) (193,2244) (10691487/3364,-35251747749/195112) (-2825691/59536,173832807/14526784) (10691487/3364,34631641503/195112) (-2825691/59536,515635797/14526784) # # a-invariants: (1, -1, 0, -27, -59) # Cremona label: 450d1 # # # a-invariants: (1, -1, 0, 198, 436) # Cremona label: 450d2 # # # a-invariants: (1, -1, 0, -117, 5791) # Cremona label: 450d3 # # # a-invariants: (1, -1, 0, -28242, 1833916) # Cremona label: 450d4 # # # a-invariants: (1, -1, 1, 145, 147) # Cremona label: 450e1 # (-1,0) # # a-invariants: (1, -1, 1, -605, 1647) # Cremona label: 450e2 # (11/4,-15/8) # # a-invariants: (1, -1, 1, -1730, -31103) # Cremona label: 450e3 # (49,-25) # # a-invariants: (1, -1, 1, -28730, -1867103) # Cremona label: 450e4 # (-389/4,385/8) # # a-invariants: (1, -1, 0, -192, 1216) # Cremona label: 450f1 # (-16,8) (24,88) (24,-112) (-1,-37) (-1,38) (8,-16) (9,-17) (8,8) (9,8) (71/4,379/8) (16/9,776/27) (16/9,-824/27) (71/4,-521/8) (-15,-16) (584,13808) (-15,31) (584,-14392) (1751/49,61634/343) (1751/49,-73891/343) (-744/169,102136/2197) (-744/169,-92464/2197) (4009/576,137617/13824) (5360/529,-247688/12167) (4009/576,-233833/13824) (5360/529,124408/12167) (323457/2209,-190298336/103823) (323457/2209,175095857/103823) (-1100212044623/127157854464,-1917719162186291951/45343473639026688) (-1100212044623/127157854464,2310045975602496767/45343473639026688) # # a-invariants: (1, -1, 0, -3192, 70216) # Cremona label: 450f2 # (131/4,-131/8) (29,-52) (29,23) (39,-82) (39,43) (-61,218) (33,-16) (-61,-157) (33,-17) (1279/36,-9587/216) (1279/36,1913/216) (389/16,-5953/64) (389/16,4397/64) (585,13784) (585,-14369) (72251/2209,-1585586/103823) (72251/2209,-1810211/103823) (391959/8281,-133334447/753571) (391959/8281,97666178/753571) (10083385/304704,-3095225737/168196608) (10083385/304704,-2470802783/168196608) (-14898901/417316,104855341523/269586136) (-14898901/417316,-95230651477/269586136) # # a-invariants: (1, -1, 0, 1308, -5284) # Cremona label: 450f3 # (4,-2) (139,1618) (14,118) (14,-132) (139,-1757) (29,-252) (58,-542) (29,223) (58,484) (3151/484,-662411/10648) (4876/9,-348314/27) (3151/484,593089/10648) (4876/9,333686/27) (2285/361,-410844/6859) (2285/361,367429/6859) (490714/841,337069172/24389) (490714/841,-351299878/24389) (50801006/851929,394185301106/786330467) (50801006/851929,-441074629644/786330467) (8966271649/66977856,839563541541067/548146773504) (8966271649/66977856,-912943508716483/548146773504) # # a-invariants: (1, -1, 0, -5442, -39034) # Cremona label: 450f4 # (-29/4,29/8) (-41,-317) (149,-1637) (149,1488) (-41,358) (-23711/361,-998183/6859) (83,234) (83,-317) (-23711/361,1448692/6859) (-258491/15376,431522017/1906624) (-258491/15376,-399469133/1906624) (2370919/4356,3535778423/287496) (2370919/4356,-3692259077/287496) (177855035/303601,2302271944734/167284151) (177855035/303601,-2400270069019/167284151) # # a-invariants: (1, -1, 0, 333, -7259) # Cremona label: 450g1 # (14,-7) # # a-invariants: (1, -1, 0, -4167, -92759) # Cremona label: 450g2 # (-46,23) (74,-37) (-109/4,109/8) # # a-invariants: (1, -1, 0, -3042, 212116) # Cremona label: 450g3 # (-76,38) # # a-invariants: (1, -1, 0, -64917, -6350009) # Cremona label: 450g4 # (-589/4,589/8) # # a-invariants: (1, -1, 0, -15417, 638491) # Cremona label: 450g5 # (371/4,-371/8) # # a-invariants: (1, -1, 0, -75042, 7916116) # Cremona label: 450g6 # (164,-82) (611/4,-611/8) (-316,158) # # a-invariants: (1, -1, 0, -102042, 1733116) # Cremona label: 450g7 # (-1309/4,1309/8) # # a-invariants: (1, -1, 0, -1200042, 506291116) # Cremona label: 450g8 # (2531/4,-2531/8) # # a-invariants: (0, 1, 1, 3, 7) # Cremona label: 451a1 # (7,-21) (7,20) (1,-4) (1,3) (-35/36,-559/216) (-35/36,343/216) (-83/49,-316/343) (-83/49,-27/343) (-2597/5041,-1043379/357911) (-2597/5041,685468/357911) (31585/17424,9620839/2299968) (31585/17424,-11920807/2299968) (22292179/1620529,108921660051/2062933417) (22292179/1620529,-110984593468/2062933417) (399281653/4092529,8016385737093/8279186167) (399281653/4092529,-8024664923260/8279186167) # # a-invariants: (1, -1, 0, -50, 111) # Cremona label: 455a1 # (6,-3) (-25/4,-73/8) (2,3) (-25/4,123/8) (2,-5) (1473/64,47205/512) (9670/1089,-790283/35937) (9670/1089,471173/35937) (1473/64,-58989/512) # # a-invariants: (1, -1, 0, -295, -1800) # Cremona label: 455a2 # (-8,4) (20,-10) (-45/4,45/8) (292/9,3566/27) (1445/16,-56515/64) (-1080/121,16440/1331) (1445/16,50735/64) (-41/4,107/8) (-1080/121,-4560/1331) (292/9,-4442/27) (-41/4,-25/8) (-25241288/2362369,-5379679028/3630961153) (1804801/69696,1346980421/18399744) (1804801/69696,-1823447885/18399744) (-25241288/2362369,44175538684/3630961153) # # a-invariants: (1, -1, 0, -4670, -121675) # Cremona label: 455a3 # (-157/4,157/8) (-18961/484,212417/10648) (14797/144,1102837/1728) (-18961/484,204725/10648) (14797/144,-1280401/1728) # # a-invariants: (1, -1, 0, 160, -7169) # Cremona label: 455a4 # (67/4,-67/8) (173053/1936,-75854041/85184) (1087/36,-37075/216) (1087/36,30553/216) (173053/1936,68239709/85184) (3821570483713/164647669824,5436417162593702981/66808755689144832) (3821570483713/164647669824,-6987088174628959565/66808755689144832) # # a-invariants: (1, -1, 1, -67, 226) # Cremona label: 455b1 # (4,-6) (4,1) (5,-3) (14,-51) (14,36) (-5/4,-139/8) (121/25,-309/125) (-5/4,141/8) (46/9,-97/27) (121/25,-421/125) (46/9,-68/27) (44245/7569,-4500389/658503) (39569/6400,604287/512000) (44245/7569,-7429/658503) (39569/6400,-4281807/512000) (-33836/3721,1855461/226981) (-33836/3721,-18446/226981) # # a-invariants: (1, -1, 1, -72, 194) # Cremona label: 455b2 # (7,-4) (-37/4,33/8) (3,-2) (52,341) (2,-9) (76/9,-446/27) (76/9,191/27) (52,-394) (2,6) (-6,22) (-6,-17) (-141/100,17257/1000) (1033/64,-32663/512) (-613/841,-385506/24389) (-141/100,-16847/1000) (-613/841,378894/24389) (127/9,956/27) (127/9,-1364/27) (1033/64,23887/512) (1675516/23409,2012769334/3581577) (1675516/23409,-2272704859/3581577) (931012/116281,191207326/39651821) (931012/116281,-548334239/39651821) (340457761/48441600,-894813757639/337153536000) (340457761/48441600,-1811925794921/337153536000) # # a-invariants: (1, -1, 1, -397, -2796) # Cremona label: 455b3 # (-53/4,49/8) (-11,17) (481/9,8869/27) (481/9,-10339/27) (-11,-7) (13393/576,1877/13824) (-768581/84100,132930973/24389000) (-768581/84100,65568517/24389000) (13393/576,-337133/13824) (197570582401/2722021929,-88863998293458269/142016050101717) (197570582401/2722021929,78414132247749179/142016050101717) # # a-invariants: (1, -1, 1, 173, 1076) # Cremona label: 455b4 # (11,59) (-21/4,17/8) (11,-71) (34/9,1073/27) (206,-3061) (24,124) (206,2854) (-4,-16) (-4,19) (34/9,-1202/27) (24,-149) (-5/9,839/27) (239/4,3527/8) (-19/16,-1879/64) (239/4,-4013/8) (51,349) (51,-401) (-5/9,-851/27) (-19/16,1891/64) (566/121,-62911/1331) (-1254/289,-65917/4913) (-1254/289,82322/4913) (23056/81,-3604204/729) (20516/961,-3878936/29791) (23056/81,3395971/729) (20516/961,3213149/29791) (566/121,55354/1331) (668049/53824,801548107/12487168) (8731/900,1475939/27000) (8731/900,-1764869/27000) (452939/49,303233797/343) (668049/53824,-969022643/12487168) (452939/49,-306404713/343) (34000886/1256641,-242626980626/1408694561) (34000886/1256641,203103292859/1408694561) # # a-invariants: (0, -1, 0, -16, 28) # Cremona label: 456a1 # (2,0) # # a-invariants: (0, -1, 0, 24, 108) # Cremona label: 456a2 # (-3,0) # # a-invariants: (0, 1, 0, -172, -928) # Cremona label: 456b1 # (-8,0) # # a-invariants: (0, 1, 0, -192, -720) # Cremona label: 456b2 # (15,0) (-4,0) (-12,0) # # a-invariants: (0, 1, 0, -1272, 16560) # Cremona label: 456b3 # (23,0) # # a-invariants: (0, 1, 0, 568, -4368) # Cremona label: 456b4 # (7,0) # # a-invariants: (0, 1, 0, -57, 171) # Cremona label: 456c1 # (3,6) (3,-6) (-3,18) (-3,-18) (15,-54) (15,54) (6,-9) (6,9) (-9,6) (-9,-6) (5,-6) (5,6) (27,138) (27,-138) (-3/4,117/8) (-3/4,-117/8) (51/25,1026/125) (51/25,-1026/125) (213,-3114) (213,3114) (183/49,1686/343) (183/49,-1686/343) (-50/9,-503/27) (-50/9,503/27) (1191/121,-34206/1331) (1191/121,34206/1331) (4029/529,-187182/12167) (4029/529,187182/12167) (-10245/1369,-775602/50653) (-10245/1369,775602/50653) (11553/2704,-684711/140608) (11553/2704,684711/140608) (62163/961,15517914/29791) (62163/961,-15517914/29791) (8909/9025,-9260802/857375) (8909/9025,9260802/857375) # # a-invariants: (0, -1, 0, 55, 93) # Cremona label: 456d1 # (23,-114) (23,114) (4,-19) (4,19) (-1,6) (-1,-6) (-3/4,57/8) (-3/4,-57/8) (119/25,-2622/125) (119/25,2622/125) (28,-151) (28,151) (2759,-144894) (2759,144894) (2761/144,152893/1728) (2761/144,-152893/1728) (2783/841,422634/24389) (2783/841,-422634/24389) (-15956/13225,-7361797/1520875) (-15956/13225,7361797/1520875) (1114630228/1615441,-37188312060451/2053225511) (1114630228/1615441,37188312060451/2053225511) # # a-invariants: (1, -1, 0, -19, 37) # Cremona label: 458a1 # (2,-3) (2,1) (3,-2) (3,-1) (-2,9) (-2,-7) (7,11) (7,-18) (66/25,-179/125) (66/25,-151/125) (77/16,249/64) (77/16,-557/64) (-302/81,-3563/729) (-302/81,6281/729) (2663/841,-13434/24389) (2663/841,-63793/24389) (97171/1225,-31802499/42875) (97171/1225,28401514/42875) (30407313/10394176,-55235470733/33510823424) (30407313/10394176,-42797706379/33510823424) # # a-invariants: (1, 1, 1, -16, -15) # Cremona label: 458b1 # (-3,5) (-3,-3) (5,-11) (5,5) (-1,-1) (-1,1) (9,21) (9,-31) (-35/9,-25/27) (-35/9,103/27) (57,-463) (57,405) (-49/25,509/125) (-49/25,-389/125) (653/169,-2471/2197) (653/169,-8215/2197) (-1275/841,-63279/24389) (-1275/841,75865/24389) (3541/144,-235357/1728) (3541/144,191137/1728) (666485/47089,-623090915/10218313) (666485/47089,468245357/10218313) (-655177/543169,842905831/400315553) (-655177/543169,-760355935/400315553) # # a-invariants: (1, -1, 0, 0, -1) # Cremona label: 459a1 # (2,-3) (2,1) (29/16,43/64) (29/16,-159/64) (3250/9,180211/27) (3250/9,-189961/27) # # a-invariants: (0, 0, 1, 3, -4) # Cremona label: 459b1 # (4,-9) (4,8) (1,-1) (1,0) (19/9,-107/27) (19/9,80/27) (34,198) (34,-199) (961/100,29709/1000) (961/100,-30709/1000) (1486/1089,-79003/35937) (1486/1089,43066/35937) (106759/82369,-47793320/23639903) (106759/82369,24153417/23639903) # # a-invariants: (0, 0, 1, -6, -6) # Cremona label: 459c1 # # # a-invariants: (0, 0, 1, 24, -27) # Cremona label: 459c2 # (3,8) (3,-9) # # a-invariants: (0, 0, 1, -351, 2531) # Cremona label: 459d1 # # # a-invariants: (0, 0, 1, 27, 101) # Cremona label: 459e1 # # # a-invariants: (0, 0, 1, -54, 155) # Cremona label: 459f1 # (3,4) (3,-5) # # a-invariants: (0, 0, 1, 216, 722) # Cremona label: 459f2 # # # a-invariants: (0, 0, 1, -39, -94) # Cremona label: 459g1 # # # a-invariants: (1, -1, 1, -2, 28) # Cremona label: 459h1 # (-2,-4) (-2,5) (7,-22) (7,14) (2,-7) (2,4) (13/16,-391/64) (13/16,275/64) (346/25,-7196/125) (346/25,5341/125) (-337/121,-1790/1331) (-337/121,4166/1331) (28582/361,4533791/6859) (28582/361,-5083708/6859) (-76223/87616,-139721387/25934336) (-76223/87616,136349059/25934336) # # a-invariants: (0, 0, 0, -8, -12) # Cremona label: 460a1 # # # a-invariants: (0, 0, 0, -73, 2453) # Cremona label: 460b1 # # # a-invariants: (0, 1, 0, -46, 529) # Cremona label: 460c1 # (0,23) (0,-23) (46/9,-575/27) (-6,25) (46/9,575/27) (69,575) (-6,-25) (69,-575) (-92/9,-161/27) (12,43) (12,-43) (69/4,-575/8) (69/4,575/8) (-92/9,161/27) (12834/361,1456475/6859) (12834/361,-1456475/6859) (-7866/961,-613525/29791) (589/81,-18325/729) (589/81,18325/729) (-7866/961,613525/29791) (-4200/1849,-1990739/79507) (20769/10000,21136103/1000000) (20769/10000,-21136103/1000000) (-4200/1849,1990739/79507) (197800/441,-88059203/9261) (197800/441,88059203/9261) (-37447059/10452289,868567881275/33792250337) (-37447059/10452289,-868567881275/33792250337) # # a-invariants: (0, 1, 0, 414, -13915) # Cremona label: 460c2 # (613/9,-15625/27) (613/9,15625/27) (685/36,-7525/216) (685/36,7525/216) (973338157/28100601,-30954486921875/148961285901) (973338157/28100601,30954486921875/148961285901) (3655735229521/8154090000,7004196471344152319/736314327000000) (3655735229521/8154090000,-7004196471344152319/736314327000000) # # a-invariants: (0, -1, 0, -10, 17) # Cremona label: 460d1 # (4,-5) (4,5) (2,-1) (2,1) (-1,-5) (-1,5) (-2,-5) (-2,5) (16/9,-35/27) (16/9,35/27) (13/4,-23/8) (13/4,23/8) (104,-1055) (104,1055) (134/25,1177/125) (134/25,-1177/125) (631/289,4415/4913) (631/289,-4415/4913) (-38/441,39131/9261) (-38/441,-39131/9261) (-8084/2809,-550265/148877) (-8084/2809,550265/148877) (12497/8464,-1408945/778688) (12497/8464,1408945/778688) (455516/162409,-116159185/65450827) (455516/162409,116159185/65450827) # # a-invariants: (1, 1, 0, 5, -23) # Cremona label: 462a1 # (2,-1) (4,-11) (13,-56) (13,43) (4,7) (24,109) (3,4) (24,-133) (3,-7) (202,2779) (211/100,-2639/1000) (211/100,529/1000) (202,-2981) (683/121,-23717/1331) (3544/441,192809/9261) (3544/441,-267233/9261) (683/121,16204/1331) (5137641/102400,-12621731371/32768000) (5137641/102400,10977686251/32768000) # # a-invariants: (1, 1, 0, -105, -441) # Cremona label: 462a2 # (-21/4,21/8) (-7,7) (15,-48) (15,33) (-7,0) (-777/121,10227/1331) (25,-128) (-777/121,-1680/1331) (25,103) (-5551/1024,166551/32768) (-5551/1024,11081/32768) (20211/100,2777361/1000) (20211/100,-2979471/1000) (623305/53361,-193295488/12326391) (623305/53361,49312033/12326391) # # a-invariants: (1, 1, 0, -644, -2352) # Cremona label: 462b1 # (-24,12) # # a-invariants: (1, 1, 0, -5764, 164560) # Cremona label: 462b2 # (40,-20) (-88,44) (187/4,-187/8) # # a-invariants: (1, 1, 0, -92004, 10703088) # Cremona label: 462b3 # (699/4,-699/8) # # a-invariants: (1, 1, 0, -1444, 410800) # Cremona label: 462b4 # (-325/4,325/8) # # a-invariants: (1, 1, 0, 4, 0) # Cremona label: 462c1 # (0,0) (1,-3) (4,8) (4,-12) (1,2) (9/25,-183/125) (100/9,920/27) (9/25,138/125) (100/9,-1220/27) (1024/8281,-587712/753571) (1024/8281,494528/753571) (8281/256,-835653/4096) (8281/256,703157/4096) (10304100/5851561,44825248920/14154926059) (10304100/5851561,-69750866820/14154926059) # # a-invariants: (1, 1, 0, -16, -20) # Cremona label: 462c2 # (-4,2) (-5/4,5/8) (4,-2) (-2,-2) (18,-86) (7,13) (7,-20) (18,68) (-3,-2) (-2,4) (-3,5) (-89/25,569/125) (-89/25,-124/125) (-14/9,76/27) (46,292) (-14/9,-34/27) (46,-338) (5,-10) (5,5) (523/4,11489/8) (-87/64,-289/512) (-87/64,985/512) (523/4,-12535/8) (732/169,-13382/2197) (-188/49,1282/343) (732/169,3866/2197) (-188/49,34/343) (-8974/3481,-459122/205379) (2581/225,110059/3375) (2581/225,-148774/3375) (16174/1681,-2320162/68921) (16174/1681,1657028/68921) (-8974/3481,988588/205379) (-649827/165649,218379299/67419143) (-649827/165649,46100290/67419143) (68837105/2119936,527471455295/3086626816) (68837105/2119936,-627698280175/3086626816) # # a-invariants: (1, 1, 0, -226, -1406) # Cremona label: 462c3 # (-37/4,37/8) (-9,5) (-9,4) (21,-71) (21,50) (-2051/225,12902/3375) (47,284) (47,-331) (-2051/225,17863/3375) (-28839/3136,908489/175616) (88611/676,-27473315/17576) (88611/676,25169429/17576) (-28839/3136,706495/175616) (6464911/378225,-4195966604/232608375) (6464911/378225,220046339/232608375) # # a-invariants: (1, 1, 0, -126, 486) # Cremona label: 462c4 # (27/4,-27/8) (5,1) (-9,36) (-9,-27) (5,-6) (19,-83) (9,9) (9,-18) (19,64) (45/16,729/64) (45/16,-909/64) (-1/4,183/8) (-1/4,-181/8) (67/9,47/27) (67/9,-248/27) (1161/25,-41931/125) (1161/25,36126/125) (-1579/121,23318/1331) (7335/1369,-96543/50653) (7335/1369,-174852/50653) (-1579/121,-5949/1331) (75409/10816,-6937267/1124864) (75409/10816,-905269/1124864) (25659/196,-4294737/2744) (25659/196,3935511/2744) (1794519/444889,-2967349356/296740963) (1794519/444889,1770405183/296740963) (10098211/783225,19667962361/693154125) (10098211/783225,-28604879096/693154125) # # a-invariants: (1, 0, 1, -1676, 5058506) # Cremona label: 462d1 # (-175,87) # # a-invariants: (1, 0, 1, -452236, 115355594) # Cremona label: 462d2 # (1399/4,-1403/8) # # a-invariants: (1, 1, 1, -405, 4731) # Cremona label: 462e1 # (-25,12) (151,-1924) (-17,-76) (151,1772) (-17,92) (-3,78) (39,-244) (-3,-76) (39,204) (19,56) (19,-76) (7,-52) (7,44) (127/9,-1436/27) (127/9,1028/27) (11,-48) (11,36) (79/25,-7652/125) (25,92) (79/25,7132/125) (25,-118) (63,452) (-9,92) (-9,-84) (63,-516) (-89/4,-377/8) (487,10508) (-89/4,547/8) (487,-10996) (767,-21636) (767,20868) (-209/9,-988/27) (-209/9,1588/27) (73,-646) (73,572) (-521/49,-28972/343) (-521/49,32276/343) (51/25,-8016/125) (4575/169,-295716/2197) (4575/169,234044/2197) (51/25,7636/125) (3691/361,252104/6859) (3691/361,-329092/6859) (4327/289,196972/4913) (4327/289,-275444/4913) (2159/121,-92316/1331) (637/81,30286/729) (637/81,-36748/729) (2159/121,67236/1331) (98911/2809,25432828/148877) (98911/2809,-30823988/148877) (-1553/961,2195108/29791) (-1553/961,-2176756/29791) (7809/64,653619/512) (7809/64,-716603/512) (295231/25,159684364/125) (-41825/1681,-66308/68921) (-41825/1681,1712212/68921) (295231/25,-161160644/125) (913231/4761,839378588/328509) (913231/4761,-902720036/328509) (835731/41209,524757612/8365427) (835731/41209,-702776432/8365427) (32951039/7812025,-1277041838652/21834609875) (32951039/7812025,1163109074772/21834609875) (612368407/11135569,13474244266796/37159393753) (612368407/11135569,-15554877034708/37159393753) (-3014266281/142826401,-96385920146844/1706918318351) (-3014266281/142826401,130702498152724/1706918318351) # # a-invariants: (1, 1, 1, -7445, 244091) # Cremona label: 462e2 # (195/4,-199/8) (159,-1844) (159,1684) (47,-52) (47,4) (61,-178) (61,116) (33,-206) (33,172) (-37,704) (51,-44) (51,-8) (-37,-668) (-93,424) (451/9,-788/27) (-93,-332) (451/9,-592/27) (1329/25,-9118/125) (5,-458) (5,452) (1329/25,2348/125) (79,-436) (79,356) (5127/121,82268/1331) (5127/121,-139996/1331) (773/16,-2257/64) (1959/4,83591/8) (1959/4,-87517/8) (773/16,-899/64) (25647/529,-205012/12167) (6919/9,562124/27) (6919/9,-582908/27) (25647/529,-397036/12167) (36797/841,1094132/24389) (4281/49,163108/343) (4281/49,-193418/343) (36797/841,-2185634/24389) (23595/1849,30386584/79507) (228619/4225,8348848/274625) (228619/4225,-23483708/274625) (23595/1849,-31480676/79507) (-115837/1369,-24548576/50653) (5236971/104329,-1055062648/33698267) (5236971/104329,-670177252/33698267) (-115837/1369,28783892/50653) (496981/9801,-38631286/970299) (496981/9801,-11540132/970299) (158177319/2699449,-644698669276/4435194707) (158177319/2699449,380378139452/4435194707) (496288311/42025,11005494381244/8615125) (496288311/42025,-11107242100124/8615125) # # a-invariants: (1, 0, 0, -97, 1337) # Cremona label: 462f1 # (8,29) (-14,7) (8,-37) # # a-invariants: (1, 0, 0, -2517, 48285) # Cremona label: 462f2 # (30,-15) (-58,29) (111/4,-111/8) # # a-invariants: (1, 0, 0, -3507, 6507) # Cremona label: 462f3 # (-241/4,241/8) # # a-invariants: (1, 0, 0, -40247, 3104415) # Cremona label: 462f4 # (463/4,-463/8) # # a-invariants: (1, 0, 0, 77, 161) # Cremona label: 462g1 # (2,17) (-2,1) (2,-19) (20,-109) (20,89) # # a-invariants: (1, 0, 0, -363, 1305) # Cremona label: 462g2 # (24,-93) (-12,-57) (15/4,-15/8) (24,69) (-12,69) # # a-invariants: (1, 0, 0, -823, -11611) # Cremona label: 462g3 # (34,-17) # # a-invariants: (1, 0, 0, -14133, -647829) # Cremona label: 462g4 # (-273/4,273/8) # # a-invariants: (0, 1, 0, 8, 4) # Cremona label: 464a1 # (0,2) (0,-2) (3,-8) (3,8) (64/9,-586/27) (64/9,586/27) (-111/256,-3271/4096) (-111/256,3271/4096) (56256/1369,-13535942/50653) (56256/1369,13535942/50653) # # a-invariants: (0, -1, 0, -80, 304) # Cremona label: 464b1 # (6,2) (6,-2) (5,-2) (5,2) (-10,2) (-10,-2) (81/16,113/64) (81/16,-113/64) (1366/225,-7714/3375) (1366/225,7714/3375) (3621,-217862) (3621,217862) (17129899621/3347201025,301894221705994/193652315301375) (17129899621/3347201025,-301894221705994/193652315301375) # # a-invariants: (0, 1, 0, 80, -428) # Cremona label: 464c1 # # # a-invariants: (0, 1, 0, -7280, 238292) # Cremona label: 464c2 # # # a-invariants: (0, -1, 0, -4, -4) # Cremona label: 464d1 # # # a-invariants: (0, -1, 0, 36, 76) # Cremona label: 464d2 # # # a-invariants: (0, 1, 0, -4, -24) # Cremona label: 464e1 # (3,0) # # a-invariants: (0, 1, 0, -9, -14) # Cremona label: 464e2 # (-2,0) # # a-invariants: (0, 0, 0, -4831, 129242) # Cremona label: 464f1 # # # a-invariants: (0, 0, 0, -19, -46) # Cremona label: 464g1 # # # a-invariants: (1, 1, 0, -7, 16) # Cremona label: 465a1 # (-4,2) (0,-4) (0,4) (15/4,-77/8) (15/4,47/8) (-31/64,2389/512) (-31/64,-2141/512) (1084/225,29318/3375) (1084/225,-45578/3375) (289920/961,-160916044/29791) (289920/961,151928524/29791) # # a-invariants: (1, 1, 0, -162, 729) # Cremona label: 465a2 # (27/4,-27/8) (8,-9) (8,1) (0,27) (0,-27) (31/4,-61/8) (-27/16,2079/64) (31/4,-1/8) (-27/16,-1971/64) (6480/961,-93123/29791) (1208,-42609) (6480/961,-107757/29791) (1208,41401) (120001/14400,-18729061/1728000) (120001/14400,4328941/1728000) # # a-invariants: (1, 0, 0, -10, -13) # Cremona label: 465b1 # (-2,1) (-17/9,31/27) (-17/9,20/27) (7,13) (7,-20) (4222/1089,-184783/35937) (-11711/6400,515927/512000) (4222/1089,45457/35937) (-11711/6400,420953/512000) (-698098337/354832569,7663573567369/6683981102253) (-698098337/354832569,5486504806700/6683981102253) # # a-invariants: (1, 0, 0, -15, 0) # Cremona label: 465b2 # (-4,2) (0,0) (15/4,-15/8) (-3,6) (5,5) (27,126) (-5/9,85/27) (27,-153) (-5/9,-70/27) (5,-10) (-3,-3) (1500/121,47550/1331) (-135/64,3015/512) (-121/100,-3487/1000) (1500/121,-64050/1331) (-121/100,4697/1000) (-135/64,-1935/512) (64/9,-536/27) (64/9,344/27) (41405/361,8036210/6859) (-160205/42849,40566770/8869743) (-160205/42849,-7404335/8869743) (41405/361,-8822905/6859) (-1083/8281,-1006734/753571) (-1083/8281,1105287/753571) (28206721/6969600,-94467771401/18399744000) (28206721/6969600,20002027961/18399744000) # # a-invariants: (1, 0, 0, -170, 837) # Cremona label: 465b3 # (4,-17) (4,13) (31/4,-31/8) (9,3) (19,58) (-11,-32) (9,-12) (7,-5) (19,-77) (-11,43) (7,-2) (109/16,-53/64) (109/16,-383/64) (76/9,11/27) (76/9,-239/27) (-29/4,-301/8) (-29/4,359/8) (28,121) (28,-149) (459,9603) (253/49,-4376/343) (2809/361,-22028/6859) (391/169,-49529/2197) (2809/361,-31343/6859) (391/169,44446/2197) (253/49,2605/343) (459,-10062) (8911/900,-463181/27000) (110641/7744,20407171/681472) (-30764/2209,-1716151/103823) (-30764/2209,3162059/103823) (8911/900,195851/27000) (110641/7744,-30143579/681472) (1778202796/15468489,71106655925791/60837567237) (1778202796/15468489,-78100327522459/60837567237) # # a-invariants: (1, 0, 0, 60, 15) # Cremona label: 465b4 # (-1/4,1/8) (238/9,-4201/27) (2,11) (238/9,3487/27) (2,-13) (135359/12100,53801707/1331000) (135359/12100,-68691197/1331000) (2881/576,257533/13824) (2881/576,-326677/13824) (342483842/2989441,-6655590532261/5168743489) (342483842/2989441,6063435969443/5168743489) # # a-invariants: (1, 1, 0, -5, -7) # Cremona label: 466a1 # (-2,1) # # a-invariants: (1, 1, 0, -15, 11) # Cremona label: 466a2 # (11/4,-11/8) # # a-invariants: (1, 0, 0, -23, 41) # Cremona label: 466b1 # (2,-3) (2,1) # # a-invariants: (1, 0, 0, 77, 229) # Cremona label: 466b2 # # # a-invariants: (0, 0, 1, -4, 3) # Cremona label: 467a1 # (1,-1) (1,0) (-1,2) (-1,-3) (9/4,-23/8) (9/4,15/8) (51/25,174/125) (51/25,-299/125) (-211/169,-6612/2197) (-211/169,4415/2197) (6049/5776,-420433/438976) (6049/5776,-18543/438976) (180181/441,-76486465/9261) (180181/441,76477204/9261) (5301451/5593225,753263301/13227977125) (5301451/5593225,-13981240426/13227977125) # # a-invariants: (0, 0, 0, -168, -855) # Cremona label: 468a1 # (15,0) # # a-invariants: (0, 0, 0, -2703, -54090) # Cremona label: 468a2 # (-30,0) # # a-invariants: (0, 0, 0, -1512, 23085) # Cremona label: 468b1 # (-45,0) # # a-invariants: (0, 0, 0, -24327, 1460430) # Cremona label: 468b2 # (90,0) # # a-invariants: (0, 0, 0, -36, 81) # Cremona label: 468c1 # (3,0) (6,-9) (0,9) (0,-9) (6,9) (-6,9) (4,-1) (4,1) (-6,-9) (9/4,-27/8) (15,-54) (15,54) (9/4,27/8) (66/25,261/125) (66/25,-261/125) (28,145) (28,-145) (-216/49,-4257/343) (-216/49,4257/343) (510/121,-2709/1331) (510/121,2709/1331) (721/144,-8857/1728) (-429/289,56268/4913) (-429/289,-56268/4913) (721/144,8857/1728) (32334/169,-5811363/2197) (32334/169,5811363/2197) (163564/21025,-50256863/3048625) (163564/21025,50256863/3048625) (105495604/10962721,-907955845201/36297569231) (105495604/10962721,907955845201/36297569231) # # a-invariants: (0, 0, 0, 9, 270) # Cremona label: 468c2 # (-6,0) (7,26) (3,-18) (7,-26) (3,18) (111,1170) (-5,-10) (-5,10) (111,-1170) (57/4,459/8) (-2/9,442/27) (-2/9,-442/27) (57/4,-459/8) (-2121/841,370890/24389) (691/25,-18386/125) (691/25,18386/125) (-2121/841,-370890/24389) (-18933/5929,6595254/456533) (-18933/5929,-6595254/456533) (65983/1849,-17059042/79507) (65983/1849,17059042/79507) (21745/41616,140745545/8489664) (21745/41616,-140745545/8489664) # # a-invariants: (0, 0, 0, -120, -11) # Cremona label: 468d1 # (11,0) # # a-invariants: (0, 0, 0, -1335, -18722) # Cremona label: 468d2 # (-22,0) # # a-invariants: (0, 0, 0, -6600, 206377) # Cremona label: 468d3 # (74,351) (47,0) (48,13) (74,-351) (48,-13) # # a-invariants: (0, 0, 0, -6735, 197494) # Cremona label: 468d4 # (23,-234) (-94,0) (23,234) (75,-338) (75,338) # # a-invariants: (0, 0, 0, -48, -115) # Cremona label: 468e1 # (-5,0) # # a-invariants: (0, 0, 0, -183, 830) # Cremona label: 468e2 # (10,0) # # a-invariants: (1, 0, 1, -80, -275) # Cremona label: 469a1 # (-5,0) (-5,4) (205/16,1425/64) (205/16,-2309/64) (-465869/81225,75136316/23149125) (-465869/81225,34487224/23149125) # # a-invariants: (1, -1, 1, -12, 18) # Cremona label: 469b1 # (2,-1) (2,-2) (3,-4) (3,0) (-2,-5) (-2,6) (37/16,-113/64) (37/16,-99/64) (6/25,414/125) (6/25,-569/125) (587/121,6328/1331) (587/121,-14116/1331) (10138/4761,-471701/328509) (10138/4761,-556330/328509) (63473/3136,13614931/175616) (63473/3136,-17345035/175616) (-716155658/194574601,1614709012047/2714121109349) (-716155658/194574601,5660825152046/2714121109349) # # a-invariants: (1, 0, 1, -44, 106) # Cremona label: 470a1 # (1,7) (1,-9) (4,-2) (4,-3) (25/9,29/27) (25/9,-131/27) (34,178) (34,-213) (-359/121,-18043/1331) (-359/121,20661/1331) (3991/900,-10229/27000) (3991/900,-136501/27000) (1409794/152881,-1656155522/59776471) (1409794/152881,1045149597/59776471) (-146458175/20007729,-323074840481/89494571817) (-146458175/20007729,888687685439/89494571817) (4313326084/708038881,-231710294150818/18840206584529) (4313326084/708038881,98096793797133/18840206584529) # # a-invariants: (1, 0, 1, -5773, 168328) # Cremona label: 470b1 # (44,-20) (44,-25) # # a-invariants: (1, 0, 1, -6348, 132618) # Cremona label: 470b2 # # # a-invariants: (1, 1, 0, -97, 281) # Cremona label: 470c1 # (-8,29) (-8,-21) (17,54) (17,-71) (2,9) (2,-11) (7,-1) (7,-6) (28/9,-167/27) (28/9,83/27) (43/4,157/8) (43/4,-243/8) (-4,-23) (-4,27) (167,-2246) (167,2079) (-542/49,6147/343) (-542/49,-2353/343) (313/9,4963/27) (313/9,-5902/27) (-8/121,-22521/1331) (-8/121,22609/1331) (8033/1024,164097/32768) (8033/1024,-421153/32768) (12152/3481,-277759/205379) (12152/3481,-439209/205379) (5089/625,-230362/15625) (5089/625,103137/15625) (-17678/29241,-90671381/5000211) (-17678/29241,93694319/5000211) (6601883/56644,-17780462757/13481272) (6601883/56644,16209214603/13481272) (427079287/42497361,4467673838486/277040296359) (427079287/42497361,-7251803710439/277040296359) # # a-invariants: (1, 0, 0, -36, 80) # Cremona label: 470d1 # (4,0) (4,-4) # # a-invariants: (1, 0, 0, -176, -844) # Cremona label: 470d2 # # # a-invariants: (1, 1, 1, -11, 9) # Cremona label: 470e1 # (1,-2) (1,0) (3,2) (3,-6) (-3,-4) (-3,6) (7/4,-13/8) (7/4,-9/8) (-11/9,-124/27) (-11/9,130/27) (139/25,1178/125) (139/25,-1998/125) (441/361,-9910/6859) (441/361,-5328/6859) (2097/64,88749/512) (2097/64,-106037/512) # # a-invariants: (1, -1, 1, -117, 141) # Cremona label: 470f1 # (-9,-16) (-9,24) (31,144) (31,-176) (-1,16) (-1,-16) (11,-16) (11,4) (1,4) (1,-6) (15,32) (15,-48) (-41/9,-592/27) (-41/9,688/27) (111,1104) (111,-1216) (-11,6) (-11,4) (131,1424) (131,-1556) (-241/49,8912/343) (-241/49,-7568/343) (391/25,4496/125) (391/25,-6576/125) (111/121,-9096/1331) (111/121,6544/1331) (391/36,509/216) (391/36,-3071/216) (-129/169,33008/2197) (-129/169,-33528/2197) (24151/841,-3799344/24389) (24151/841,3074576/24389) (-32329/3721,-3893936/226981) (-32329/3721,5639024/226981) (17315,-2287028) (17315,2269712) (-46859/5041,-5270116/357911) (-46859/5041,8239194/357911) (-138569/110889,-617360048/36926037) (-138569/110889,626577488/36926037) (1762589431/18498601,69404997814224/79562482901) (1762589431/18498601,-77065457439856/79562482901) # # a-invariants: (1, 1, 1, 1, 2) # Cremona label: 471a1 # (0,-2) (0,1) (-1,1) (-1,-1) (6,13) (6,-20) (7/4,-41/8) (7/4,19/8) (-66/49,-20/343) (-66/49,139/343) (119/121,-4549/1331) (119/121,1909/1331) (3960/289,-297487/4913) (3960/289,225254/4913) (-10319/14400,1835219/1728000) (-10319/14400,-2324939/1728000) (8386919/137641,22960203491/51064811) (8386919/137641,-26122815251/51064811) # # a-invariants: (0, 0, 0, 2, 1) # Cremona label: 472a1 # (0,-1) (0,1) (1,-2) (1,2) (8,23) (8,-23) (-7/16,13/64) (-7/16,-13/64) (184/49,-2689/343) (184/49,2689/343) (945/529,-38998/12167) (945/529,38998/12167) (-4784/18225,-1663111/2460375) (-4784/18225,1663111/2460375) (443745/10816,295774831/1124864) (443745/10816,-295774831/1124864) (-1008033765191/3218105912464,-3379979476628937299/5772985941216469312) (-1008033765191/3218105912464,3379979476628937299/5772985941216469312) # # a-invariants: (0, -1, 0, -276, -1676) # Cremona label: 472b1 # # # a-invariants: (0, -1, 0, 8, 12) # Cremona label: 472c1 # # # a-invariants: (0, 0, 0, -19, -34) # Cremona label: 472d1 # # # a-invariants: (0, -1, 0, 4, 4) # Cremona label: 472e1 # (0,2) (0,-2) (2,4) (2,-4) (8,22) (8,-22) (-3/4,1/8) (-3/4,-1/8) (88/9,802/27) (88/9,-802/27) (210/121,4828/1331) (210/121,-4828/1331) (176/1225,-91526/42875) (176/1225,91526/42875) (13265/16,1526863/64) (13265/16,-1526863/64) (-516621283/705114916,-6984838657759/18723621479464) (-516621283/705114916,6984838657759/18723621479464) # # a-invariants: (0, 1, 1, -1006, 11952) # Cremona label: 473a1 # (15,-22) (15,21) (18,0) (18,-1) (178/9,352/27) (178/9,-379/27) (-33,101) (-33,-102) (6033/256,-180025/4096) (6033/256,175929/4096) (46615/2601,-153154/132651) (46615/2601,20503/132651) (3829554/225625,-849209283/107171875) (3829554/225625,742037408/107171875) (7496610/41209,20284940992/8365427) (7496610/41209,-20293306419/8365427) # # a-invariants: (1, 1, 0, 81, -27) # Cremona label: 474a1 # (14,57) (14,-71) (1,-8) (1,7) (446/169,-35027/2197) (446/169,29229/2197) (6751/225,-640444/3375) (6751/225,539179/3375) # # a-invariants: (1, 0, 1, -7, 14) # Cremona label: 474b1 # (1,2) (1,-4) (-2,5) (-2,-4) (7,-22) (7,14) (4,-10) (4,5) (-3,-2) (-3,4) (7/4,13/8) (7/4,-35/8) (61,446) (61,-508) (4/25,382/125) (4/25,-527/125) (-41/49,-1534/343) (-41/49,1478/343) (142/9,-1913/27) (142/9,1460/27) (937/361,15572/6859) (937/361,-40234/6859) (-3479/1024,41125/32768) (-3479/1024,37435/32768) (42862/2809,-10050623/148877) (42862/2809,7630060/148877) (-24969/28561,-21593762/4826809) (-24969/28561,20986714/4826809) (10813069/165649,33364550578/67419143) (10813069/165649,-37832888804/67419143) (9482962595281/172134400,29140089493455368519/2258403328000) (9482962595281/172134400,-29264508221108783239/2258403328000) # # a-invariants: (0, -1, 1, 17, -7) # Cremona label: 475a1 # # # a-invariants: (0, -1, 1, -233, -1382) # Cremona label: 475a2 # # # a-invariants: (0, -1, 1, -19233, -1020257) # Cremona label: 475a3 # # # a-invariants: (1, -1, 0, 8, 291) # Cremona label: 475b1 # (-6,3) (10,31) (29/16,1067/64) (29/16,-1183/64) (10,-41) (-13943/5184,6339439/373248) (-13943/5184,-5335543/373248) # # a-invariants: (1, -1, 0, -617, 5916) # Cremona label: 475b2 # (51/4,-51/8) (44,228) (8,34) (8,-42) (44,-272) (-5369/324,670571/5832) (285/16,-1749/64) (285/16,609/64) (-5369/324,-573929/5832) # # a-invariants: (1, -1, 1, 0, 2) # Cremona label: 475c1 # (-1,0) (0,-2) (4,-10) (0,1) (4,5) (7/9,20/27) (29/16,-255/64) (7/9,-68/27) (29/16,75/64) (-596/841,-29855/24389) (-596/841,22750/24389) (792/49,18850/343) (792/49,-24737/343) (-47495/69696,17595857/18399744) (-47495/69696,-23456921/18399744) (80548776/46036225,-1206274041079/312355786625) (80548776/46036225,347394809294/312355786625) # # a-invariants: (1, -1, 1, -25, 52) # Cremona label: 475c2 # (11/4,-15/8) (4,0) (-2,10) (4,-5) (-2,-9) (1/9,175/27) (1/9,-205/27) (5,3) (5,-9) (130/49,-351/343) (64,-540) (64,475) (130/49,-902/343) (517/144,-2327/1728) (-2089/484,102585/10648) (517/144,-5605/1728) (-2089/484,-67275/10648) (19834/13225,4405293/1520875) (26104/3481,-4107420/205379) (26104/3481,2361905/205379) (19834/13225,-8207078/1520875) (678077/41209,-595507443/8365427) (678077/41209,449492385/8365427) # # a-invariants: (1, -1, 0, 3, -10) # Cremona label: 477a1 # (2,0) (2,-2) (131/4,1353/8) (131/4,-1615/8) (42130/15129,4404650/1860867) (42130/15129,-9586640/1860867) (293517809/35236096,-5735971620399/209161465856) (293517809/35236096,3993649906175/209161465856) # # a-invariants: (0, -1, 0, -6, 0) # Cremona label: 480a1 # (3,0) (0,0) (-2,0) (6,-12) (6,12) (-1,-2) (-3/4,-15/8) (-1,2) (-3/4,15/8) (8,20) (8,-20) (-96/49,-216/343) (-96/49,216/343) (243,3780) (-2/81,280/729) (243,-3780) (49/16,63/64) (49/16,-63/64) (-2/81,-280/729) (25350/2209,-3758820/103823) (-18723/14884,3620175/1815848) (-2209/4225,452986/274625) (-2209/4225,-452986/274625) (25350/2209,3758820/103823) (-18723/14884,-3620175/1815848) (15499969/254016,60471686143/128024064) (15499969/254016,-60471686143/128024064) # # a-invariants: (0, -1, 0, -81, -255) # Cremona label: 480a2 # (-5,0) (-19/4,-1/8) (11,-8) (-19/4,1/8) (11,8) (3889/16,-241857/64) (3889/16,241857/64) (-19781/3969,-61424/250047) (-19781/3969,61424/250047) (-300638131/62884900,-171636837247/498677257000) (-300638131/62884900,171636837247/498677257000) # # a-invariants: (0, -1, 0, -56, 180) # Cremona label: 480a3 # (5,0) (-4,18) (4,2) (-4,-18) (4,-2) (9,18) (29/4,-81/8) (29/4,81/8) (9,-18) (620/169,7110/2197) (-44/25,2054/125) (-44/25,-2054/125) (620/169,-7110/2197) (11909/49,1296324/343) (6529/1296,28007/46656) (11909/49,-1296324/343) (6529/1296,-28007/46656) (3407756/811801,-825459318/731432701) (3407756/811801,825459318/731432701) (401707805/32878756,-6449588350335/188526786904) (401707805/32878756,6449588350335/188526786904) # # a-invariants: (0, -1, 0, 24, -24) # Cremona label: 480a4 # (1,0) (5,14) (29/4,175/8) (5,-14) (29/4,-175/8) (865/784,-35433/21952) (865/784,35433/21952) (19681/81,-2755900/729) (19681/81,2755900/729) (102224069/9333025,-1079296307978/28512391375) (102224069/9333025,1079296307978/28512391375) # # a-invariants: (0, -1, 0, -10, -8) # Cremona label: 480b1 # (-1,0) (-2,0) (4,0) # # a-invariants: (0, -1, 0, -160, -728) # Cremona label: 480b2 # (-7,0) # # a-invariants: (0, -1, 0, -40, 100) # Cremona label: 480b3 # (0,-10) (0,10) (5,0) # # a-invariants: (0, -1, 0, 15, -63) # Cremona label: 480b4 # (3,0) # # a-invariants: (0, 1, 0, -6, 0) # Cremona label: 480c1 # (0,0) (-3,0) (2,0) # # a-invariants: (0, 1, 0, -56, -180) # Cremona label: 480c2 # (-5,0) # # a-invariants: (0, 1, 0, -81, 255) # Cremona label: 480c3 # (5,0) # # a-invariants: (0, 1, 0, 24, 24) # Cremona label: 480c4 # (-1,0) # # a-invariants: (0, 1, 0, -226, -1360) # Cremona label: 480d1 # (17,0) (-10,0) (-8,0) # # a-invariants: (0, 1, 0, -3601, -84385) # Cremona label: 480d2 # (-35,0) # # a-invariants: (0, 1, 0, -496, 2204) # Cremona label: 480d3 # (19,0) # # a-invariants: (0, 1, 0, 24, -3960) # Cremona label: 480d4 # (15,0) (42,-270) (42,270) # # a-invariants: (0, -1, 0, -226, 1360) # Cremona label: 480e1 # (-17,0) (8,0) (10,0) # # a-invariants: (0, -1, 0, -496, -2204) # Cremona label: 480e2 # (-19,0) # # a-invariants: (0, -1, 0, -3601, 84385) # Cremona label: 480e3 # (33,-20) (33,20) (35,0) # # a-invariants: (0, -1, 0, 24, 3960) # Cremona label: 480e4 # (-15,0) # # a-invariants: (0, -1, 0, -30, 72) # Cremona label: 480f1 # (4,0) (-6,0) (3,0) (2,4) (-1,-10) (2,-4) (21/4,45/8) (12,36) (21/4,-45/8) (-1,10) (12,-36) (73/16,-195/64) (-69/25,-1404/125) (73/16,195/64) (196/9,2600/27) (426/169,5400/2197) (-69/25,1404/125) (426/169,-5400/2197) (196/9,-2600/27) (57612/14161,1445004/1685159) (57612/14161,-1445004/1685159) (-9118/1681,-466004/68921) (72741/484,-19540395/10648) (72741/484,19540395/10648) (-9118/1681,466004/68921) (15879841/2433600,40087931311/3796416000) (48917764/6145441,-252267740400/15234548239) (15879841/2433600,-40087931311/3796416000) (48917764/6145441,252267740400/15234548239) # # a-invariants: (0, -1, 0, -80, -168) # Cremona label: 480f2 # (-7,0) (-3,-6) (-3,6) (53/4,-243/8) (53/4,243/8) (-17911/4225,2409588/274625) (3217/144,-161135/1728) (3217/144,161135/1728) (-17911/4225,-2409588/274625) (1030553813/6853924,-32913286095213/17943573032) (1030553813/6853924,32913286095213/17943573032) (156812715554881/14955545217600,346991762579258388671/57836682687311424000) (156812715554881/14955545217600,-346991762579258388671/57836682687311424000) # # a-invariants: (0, -1, 0, -480, 4212) # Cremona label: 480f3 # (12,-6) (12,6) (13,0) (53/4,-13/8) (324/25,18/125) (-12,-90) (324/25,-18/125) (17,26) (-12,90) (17,-26) (53/4,13/8) (5629/225,287092/3375) (732/841,1502274/24389) (35377/2704,82815/140608) (5629/225,-287092/3375) (732/841,-1502274/24389) (35377/2704,-82815/140608) (122746133/813604,-1341781553203/733870808) (122746133/813604,1341781553203/733870808) # # a-invariants: (0, -1, 0, 15, 225) # Cremona label: 480f4 # (-5,0) (5,-20) (5,20) (45,-300) (0,-15) (-3,-12) (15,60) (0,15) (15,-60) (-3,12) (45,300) (11,-40) (5/4,-125/8) (11,40) (5/4,125/8) (85,780) (-35/9,260/27) (85,-780) (-35/9,-260/27) (333/49,8364/343) (-585/121,-5340/1331) (1005/289,-86100/4913) (-585/121,5340/1331) (333/49,-8364/343) (600,14685) (600,-14685) (1005/289,86100/4913) (38045/1369,-7398140/50653) (-479/400,-114231/8000) (38045/1369,7398140/50653) (32395/1521,-5858000/59319) (32395/1521,5858000/59319) (-8755/4489,-4085540/300763) (-8755/4489,4085540/300763) (-479/400,114231/8000) (2854215/346921,5913801060/204336469) (2854215/346921,-5913801060/204336469) (-103688149/23804641,-884881955320/116142843439) (-103688149/23804641,884881955320/116142843439) # # a-invariants: (0, 1, 0, -10, 8) # Cremona label: 480g1 # (1,0) (2,0) (-4,0) # # a-invariants: (0, 1, 0, -40, -100) # Cremona label: 480g2 # (-5,0) # # a-invariants: (0, 1, 0, -160, 728) # Cremona label: 480g3 # (7,0) # # a-invariants: (0, 1, 0, 15, 63) # Cremona label: 480g4 # (-3,0) (3,-12) (3,12) # # a-invariants: (0, 1, 0, -30, -72) # Cremona label: 480h1 # (-3,0) (-4,0) (6,0) # # a-invariants: (0, 1, 0, -480, -4212) # Cremona label: 480h2 # (-13,0) # # a-invariants: (0, 1, 0, -80, 168) # Cremona label: 480h3 # (7,0) (-2,-18) (-2,18) # # a-invariants: (0, 1, 0, 15, -225) # Cremona label: 480h4 # (15,60) (5,0) (15,-60) # # a-invariants: (1, -1, 0, -1693, 27240) # Cremona label: 481a1 # (24,-12) (220/9,-230/27) (87/4,-237/8) (87/4,63/8) (220/9,-430/27) (8649409/360000,-2627260373/216000000) (8649409/360000,-2562385027/216000000) # # a-invariants: (1, -1, 0, -1688, 27405) # Cremona label: 481a2 # (-189/4,189/8) (36,93) (124/9,2011/27) (36,-129) (124/9,-2383/27) (259101/10000,10700049/1000000) (259101/10000,-36610149/1000000) (799/36,2453/216) (799/36,-7247/216) (-4028076/247009,-26558206011/122763473) (-4028076/247009,28560159783/122763473) # # a-invariants: (1, 0, 1, -44, -150) # Cremona label: 482a1 # (17,55) (17,-73) (8,1) (8,-10) (2785/81,131615/729) (2785/81,-157409/729) (21290/121,-3224186/1331) (21290/121,2988665/1331) # # a-invariants: (0, 1, 1, -96, -457) # Cremona label: 483a1 # # # a-invariants: (0, 1, 1, 2, 1) # Cremona label: 483b1 # # # a-invariants: (0, 1, 0, 323, 2671) # Cremona label: 484a1 # (18,-121) (18,121) (-27/4,121/8) (-27/4,-121/8) (490/81,-50941/729) (490/81,50941/729) (3681/16,224519/64) (3681/16,-224519/64) (6226074/142129,-17179920373/53582633) (6226074/142129,17179920373/53582633) # # a-invariants: (0, 1, 0, -9357, 347279) # Cremona label: 484a2 # (205,-2662) (205,2662) (73,242) (73,-242) (514/9,1331/27) (514/9,-1331/27) (49,94) (49,-94) (2701/169,987602/2197) (2701/169,-987602/2197) (-3059/36,158147/216) (-3059/36,-158147/216) (45505/2209,-42005666/103823) (45505/2209,42005666/103823) (97222714/1946025,-227130993287/2714704875) (97222714/1946025,227130993287/2714704875) (1341297385/23261329,-5916752947006/112189389767) (1341297385/23261329,5916752947006/112189389767) # # a-invariants: (0, 1, 1, -121, -64) # Cremona label: 485a1 # (16,48) (16,-49) # # a-invariants: (0, 1, 1, -6911, -223455) # Cremona label: 485a2 # # # a-invariants: (0, 1, 1, -81, 255) # Cremona label: 485a3 # (5,-1) (5,0) # # a-invariants: (0, 0, 1, -2, 0) # Cremona label: 485b1 # (0,-1) (0,0) (4,-8) (4,7) (-15/16,-105/64) (-15/16,41/64) (316/225,-136/3375) (316/225,-3239/3375) # # a-invariants: (1, -1, 0, 3, 5) # Cremona label: 486a1 # (2,3) (2,-5) (-1,1) (-1,0) (10/9,-95/27) (10/9,65/27) (59,-480) (59,421) (1202/361,33865/6859) (1202/361,-56703/6859) (-2699/3600,379321/216000) (-2699/3600,-217381/216000) (12094139/811801,35861616480/731432701) (12094139/811801,-46758435719/731432701) (2358212410/403889409,89940317550355/8116965452673) (2358212410/403889409,-137333312354125/8116965452673) # # a-invariants: (1, -1, 0, -177, 953) # Cremona label: 486a2 # (7,1) (7,-8) (16,37) (-2,-35) (-2,37) (8,-3) (8,-5) (16,-53) (-13,-24) (-13,37) (211/25,-199/125) (157/16,289/64) (211/25,-856/125) (157/16,-917/64) (3406/441,-48623/9261) (3808/841,-424297/24389) (3406/441,-22903/9261) (3808/841,313865/24389) (6328/121,450017/1331) (6328/121,-519625/1331) (2211457/287296,-364655683/153990656) (221687/3721,-108070344/226981) (221687/3721,94547437/226981) (2211457/287296,-820685269/153990656) (701117888/83521321,-5051959451577/763301352619) (701117888/83521321,-1355556926855/763301352619) # # a-invariants: (1, -1, 0, -6, -4) # Cremona label: 486b1 # (-1,1) (-1,0) (5,-11) (5,6) (-53/36,131/216) (-53/36,187/216) (1109/289,-30523/4913) (1109/289,11670/4913) (12758257/112896,-47551949969/37933056) (12758257/112896,43265175617/37933056) # # a-invariants: (1, -1, 0, -96, 386) # Cremona label: 486b2 # (7,1) (7,-8) (19/4,-55/8) (-11,10) (19/4,17/8) (-11,1) (5,-6) (5,1) (1729/256,55/4096) (1015,31816) (1729/256,-27719/4096) (359/49,792/343) (359/49,-3305/343) (1015,-32831) (-135773/12996,-11395327/1481544) (-135773/12996,26873449/1481544) # # a-invariants: (1, -1, 0, -123, 557) # Cremona label: 486c1 # (7,-2) (7,-5) # # a-invariants: (1, -1, 0, -258, -748) # Cremona label: 486c2 # # # a-invariants: (1, -1, 1, -20, -29) # Cremona label: 486d1 # # # a-invariants: (1, -1, 1, 25, -161) # Cremona label: 486d2 # (7,-22) (7,14) # # a-invariants: (1, -1, 1, -11, -11) # Cremona label: 486e1 # # # a-invariants: (1, -1, 1, -56, 163) # Cremona label: 486e2 # (7,5) (7,-13) # # a-invariants: (1, -1, 1, -29, 37) # Cremona label: 486f1 # (7,-16) (7,8) (-1,8) (-1,-8) (1,2) (1,-4) (-5,8) (-5,-4) (5,-2) (19,-88) (5,-4) (31,152) (31,-184) (19,68) (-17/9,256/27) (31/25,-344/125) (-17/9,-232/27) (-17/4,-53/8) (31/25,64/125) (-17/4,79/8) (421/49,4964/343) (1015/169,-24088/2197) (371,6952) (371,-7324) (421/49,-8254/343) (1015/169,8696/2197) (-229/961,-208924/29791) (-12065/2209,-54776/103823) (-12065/2209,518008/103823) (841/1369,-265654/50653) (-229/961,186232/29791) (841/1369,183884/50653) (174583/33489,312016/6128487) (174583/33489,-38389192/6128487) (437071/7225,-304929424/614125) (100873/7744,23720231/681472) (437071/7225,267164264/614125) (100873/7744,-33278527/681472) # # a-invariants: (1, -1, 1, -1109, -13931) # Cremona label: 486f2 # (-19,8) (-19,10) (41,70) (41,-112) (-17009/900,218821/27000) (-17009/900,264449/27000) (3077201/8281,-5510481712/753571) (3077201/8281,5229702850/753571) (-55466554219/2906180281,1328415685420370/156669272768429) (-55466554219/2906180281,1505061513203272/156669272768429) (121292374948561/1873722945600,1011183006216688898971/2564826916855104000) (121292374948561/1873722945600,-1179777687658132242211/2564826916855104000) # # a-invariants: (1, 0, 1, 121, 46) # Cremona label: 490a1 # (4,22) (4,-27) (151,-1938) (85/9,1084/27) (85/9,-1366/27) (151,1786) (1,12) (1,-14) (53551/1444,-14018341/54872) (-1706/5625,1146172/421875) (3526/169,214356/2197) (3526/169,-262391/2197) (-1706/5625,-1440097/421875) (53551/1444,11928531/54872) # # a-invariants: (1, 0, 1, -1594, -26708) # Cremona label: 490a2 # (53,-223) (53,169) (200,-2869) (200,2668) (1381/9,47315/27) (1381/9,-51485/27) (68148908959/1372702500,-7950192943848923/50858627625000) (68148908959/1372702500,5374417239292973/50858627625000) # # a-invariants: (1, 1, 0, 17, -27) # Cremona label: 490b1 # # # a-invariants: (1, 1, 0, -158, 1268) # Cremona label: 490b2 # # # a-invariants: (1, 0, 1, 807, 11708) # Cremona label: 490c1 # (4,120) (4,-125) # # a-invariants: (1, 0, 1, -7768, -458202) # Cremona label: 490c2 # # # a-invariants: (1, 1, 0, 3, 1) # Cremona label: 490d1 # (0,-1) (0,1) (1,-3) (1,2) (10,-39) (10,29) (-9/25,-1/125) (-9/25,46/125) (340/81,6101/729) (340/81,-9161/729) (2331/1156,-216847/39304) (2331/1156,137593/39304) (-15980/67081,12241109/17373979) (-15980/67081,-8102289/17373979) (2390311/55225,-4032355039/12977875) (2390311/55225,3470631954/12977875) # # a-invariants: (1, 1, 0, -32, 64) # Cremona label: 490d2 # (8,-24) (8,16) (3,1) (3,-4) (0,8) (0,-8) (-7,6) (-7,1) (-8/9,-248/27) (-8/9,272/27) (11/4,-31/8) (11/4,9/8) (312/49,-5552/343) (312/49,3368/343) (393,7606) (393,-7999) (1280/121,-50152/1331) (1280/121,36072/1331) (4963/1521,67124/59319) (4963/1521,-260681/59319) (-41679/6400,-1924721/512000) (-41679/6400,5259041/512000) # # a-invariants: (1, 0, 0, -1, -15) # Cremona label: 490e1 # (4,5) (4,-9) # # a-invariants: (1, 0, 0, -491, -4229) # Cremona label: 490e2 # # # a-invariants: (1, -1, 1, -6453, 201121) # Cremona label: 490f1 # # # a-invariants: (1, -1, 1, 44997, -1904213) # Cremona label: 490f2 # # # a-invariants: (1, 0, 0, -71, 265) # Cremona label: 490g1 # (-10,5) (18,61) (18,-79) (-2,-19) (-2,21) (4,-9) (6,-11) (4,5) (6,5) (22/9,247/27) (8,11) (8,-19) (22/9,-313/27) (46,285) (46,-331) (-6,25) (-6,-19) (-33/4,173/8) (118,1221) (118,-1339) (-33/4,-107/8) (254/25,2473/125) (254/25,-3743/125) (10/9,-385/27) (10/9,355/27) (1878/361,27239/6859) (232/49,1373/343) (232/49,-2997/343) (1878/361,-62921/6859) (4/169,35625/2197) (1494/121,-56369/1331) (1494/121,39935/1331) (4/169,-35677/2197) (-8962/961,-210829/29791) (-8962/961,488651/29791) (26098/81,-4333751/729) (26098/81,4098869/729) (7641/256,585979/4096) (7641/256,-708235/4096) (1065046/308025,-1661392721/170953875) (1065046/308025,1070292191/170953875) (15700648/638401,53093767029/510082399) (15700648/638401,-65638584781/510082399) (-90839094/9357481,-88207604045/28624534379) (-90839094/9357481,366084392591/28624534379) (23699500314310/293869157409,108527958412145151605/159305588623946673) (23699500314310/293869157409,-121375386434031659675/159305588623946673) # # a-invariants: (1, 0, 0, -1191, 15721) # Cremona label: 490g2 # (79/4,-79/8) (26,-63) (18,5) (18,-23) (26,37) (-24,187) (20,-9) (-24,-163) (20,-11) (4,103) (184/9,-401/27) (184/9,-151/27) (4,-107) (50,-311) (2346/121,-8353/1331) (50,261) (2346/121,-17453/1331) (1257/64,-5735/512) (479/4,9621/8) (479/4,-10579/8) (1257/64,-4321/512) (4786/225,-73561/3375) (17194/1369,-2990339/50653) (17194/1369,2354161/50653) (4786/225,1771/3375) (-20508/529,1005779/12167) (-20508/529,-534095/12167) (352664/17689,-23927681/2352637) (352664/17689,-22976631/2352637) (457460/20449,25630073/2924207) (457460/20449,-91046853/2924207) (25132666/77841,-128859137657/21717639) (74424946/3775249,-67263903709/7335308807) (74424946/3775249,-77343766369/7335308807) (25132666/77841,121847123843/21717639) # # a-invariants: (1, -1, 1, 113, 711) # Cremona label: 490h1 # (9,-54) (9,44) (-5,2) # # a-invariants: (1, -1, 1, -867, 8159) # Cremona label: 490h2 # (23,-12) (-33,16) (43/4,-47/8) # # a-invariants: (1, -1, 1, -4297, -100229) # Cremona label: 490h3 # (-181/4,177/8) # # a-invariants: (1, -1, 1, -13117, 581459) # Cremona label: 490h4 # (267/4,-271/8) # # a-invariants: (1, 1, 1, -50, 5095) # Cremona label: 490i1 # # # a-invariants: (1, 1, 1, -24060, 1426487) # Cremona label: 490i2 # # # a-invariants: (1, 1, 1, -3480, -94375) # Cremona label: 490j1 # (69,-35) # # a-invariants: (1, 1, 1, -58360, -5450663) # Cremona label: 490j2 # (-557/4,553/8) # # a-invariants: (1, -1, 1, -132, -549) # Cremona label: 490k1 # # # a-invariants: (1, -1, 1, 918, 5289) # Cremona label: 490k2 # (-3,-49) (17,-169) (97,951) (17,151) (97,-1049) (-3,51) # # a-invariants: (0, -1, 0, -13, 25) # Cremona label: 492a1 # (3,-2) (3,2) (-1,-6) (-1,6) (0,5) (0,-5) (31/9,-82/27) (31/9,82/27) (123,-1358) (123,1358) (269/100,-1503/1000) (269/100,1503/1000) (-2037/961,-184942/29791) (-2037/961,184942/29791) (12031/15129,-7093918/1860867) (12031/15129,7093918/1860867) # # a-invariants: (0, 1, 0, 11, 695) # Cremona label: 492b1 # (-7,-18) (-7,18) (29,162) (29,-162) (2,27) (2,-27) (5,30) (5,-30) (17,78) (17,-78) (-19/4,189/8) (-19/4,-189/8) (353,6642) (353,-6642) (-211/25,-1062/125) (-211/25,1062/125) (58,-447) (58,447) (-139/169,-57546/2197) (-139/169,57546/2197) (7217/841,943002/24389) (7217/841,-943002/24389) (8345/784,-1013445/21952) (8345/784,1013445/21952) (-5887/2809,3845334/148877) (-5887/2809,-3845334/148877) (147869/1681,-57252462/68921) (147869/1681,57252462/68921) (14399621/87025,54821988594/25672375) (14399621/87025,-54821988594/25672375) # # a-invariants: (1, -1, 1, -7741, 801682) # Cremona label: 493a1 # # # a-invariants: (1, -1, 1, -57, 222) # Cremona label: 493b1 # (40,226) (40,-267) (11,-35) (11,23) (6,-12) (6,5) (15/4,39/8) (15/4,-77/8) (14/25,-1823/125) (14/25,1628/125) (-5,21) (-5,-17) (-704/81,3050/729) (-704/81,2557/729) (-311/64,-8785/512) (-311/64,10761/512) (80/121,16991/1331) (80/121,-19202/1331) (4659/1225,204807/42875) (4659/1225,-410747/42875) (16199/1444,1316245/54872) (16199/1444,-1986679/54872) (3744646/89401,6500452607/26730899) (3744646/89401,-7646832660/26730899) (5942875/81,14460730757/729) (5942875/81,-14514217361/729) # # a-invariants: (1, 1, 0, 13, 13) # Cremona label: 494a1 # (3,8) (3,-11) (-1,0) (-1,1) (29/16,379/64) (29/16,-495/64) (183,-2576) (183,2393) (9571/2025,-1529416/91125) (9571/2025,1098721/91125) (-28887/33856,11890817/6229504) (-28887/33856,-6575609/6229504) # # a-invariants: (1, -1, 0, 4, 0) # Cremona label: 494b1 # (0,0) # # a-invariants: (1, -1, 0, -16, 12) # Cremona label: 494b2 # (3/4,-3/8) (4,-2) (-4,2) # # a-invariants: (1, -1, 0, -146, -638) # Cremona label: 494b3 # (-29/4,29/8) # # a-invariants: (1, -1, 0, -206, 1190) # Cremona label: 494b4 # (35/4,-35/8) # # a-invariants: (1, -1, 0, -61, -169) # Cremona label: 494c1 # # # a-invariants: (1, 1, 1, -1001, 12375) # Cremona label: 494d1 # (45,224) (45,-270) (19,-36) (19,16) (7,-80) (7,72) (-33,120) (-33,-88) (-89/9,-3832/27) (-89/9,4072/27) (15,-40) (15,24) (631/25,-9544/125) (631/25,6264/125) (175,2200) (175,-2376) (159,1896) (159,-2056) (223/9,1264/27) (223/9,-1960/27) (723/49,-14064/343) (723/49,8660/343) (-11,-144) (-11,154) (-515/16,-6165/64) (-515/16,8161/64) (189/25,-9648/125) (189/25,8578/125) (1555/81,-26704/729) (1555/81,11980/729) (5679/121,-387944/1331) (5679/121,324144/1331) (70687,18758392) (70687,-18829080) (7303/169,453240/2197) (7303/169,-550376/2197) (55495/8649,-66681032/804357) (55495/8649,60715640/804357) (-243849/7225,68707544/614125) (-243849/7225,-48594504/614125) (-228065/25921,615160440/4173281) (-228065/25921,-582615256/4173281) (7811841/53824,-22362580797/12487168) (7811841/53824,20537746517/12487168) # # a-invariants: (1, -1, 1, 7, -8) # Cremona label: 495a1 # (1,-1) (10,26) (2,2) (10,-37) (2,-5) (113/49,881/343) (505/64,-13679/512) (113/49,-2015/343) (505/64,9127/512) (144154/142129,-73186118/53582633) (142354/225,-54747922/3375) (142354/225,52609237/3375) (144154/142129,-34742573/53582633) # # a-invariants: (1, -1, 1, -38, -44) # Cremona label: 495a2 # (-5,2) (-5/4,1/8) (7,-4) (10,-28) (-4,-4) (-2,-4) (10,17) (-4,7) (40,-268) (40,227) (-2,5) (-35/16,-277/64) (-35/16,353/64) (-185/49,2456/343) (-185/49,-1504/343) (11,-34) (127/4,-1517/8) (127/4,1255/8) (11,22) (2530,-128503) (-284/225,2516/3375) (-842/169,2417/2197) (-284/225,-1631/3375) (5920/841,-49772/24389) (-842/169,6332/2197) (2530,125972) (5920/841,-146297/24389) (28841/3136,2274497/175616) (28841/3136,-4065209/175616) (20233087291/31979025,-2933474226836126/180841386375) (20233087291/31979025,2818875276819146/180841386375) # # a-invariants: (1, -1, 1, -533, -4598) # Cremona label: 495a3 # (-53/4,49/8) (43,-247) (-13,5) (-13,7) (43,203) (143/4,1015/8) (-10163/784,149981/21952) (143/4,-1309/8) (-10163/784,112631/21952) (2127763/841,3072282367/24389) (-503621/38025,43344527/7414875) (-503621/38025,47446693/7414875) (2127763/841,-3134011883/24389) # # a-invariants: (1, -1, 1, -263, 1666) # Cremona label: 495a4 # (43/4,-47/8) (-14,56) (8,-10) (-14,-43) (8,1) (41,221) (41,-263) (13,-25) (13,11) (28/9,-853/27) (28/9,742/27) (46/25,-4484/125) (46/25,4129/125) (221/16,1003/64) (6463/196,-506171/2744) (221/16,-1951/64) (6463/196,412945/2744) (-11452/961,1793135/29791) (-11452/961,-1467914/29791) (427573/169,-282319153/2197) (2039281/189225,-597015401/82312875) (2039281/189225,-372384709/82312875) (427573/169,276758507/2197) (-37542112/2374681,176972501245/3659383421) (-37542112/2374681,-122779490074/3659383421) # # a-invariants: (0, 0, 0, 1, 1) # Cremona label: 496a1 # (0,-1) (0,1) (1/4,9/8) (1/4,-9/8) (72,611) (72,-611) (-287/1296,-40879/46656) (-287/1296,40879/46656) (43992/82369,30699397/23639903) (43992/82369,-30699397/23639903) (26862913/1493284,139455877527/1824793048) (26862913/1493284,-139455877527/1824793048) # # a-invariants: (0, -1, 0, 0, -1) # Cremona label: 496b1 # # # a-invariants: (0, -1, 0, 8, 0) # Cremona label: 496c1 # (0,0) # # a-invariants: (0, -1, 0, -32, 32) # Cremona label: 496c2 # (1,0) # # a-invariants: (0, -1, 0, -2, -1) # Cremona label: 496d1 # # # a-invariants: (0, -1, 0, 18, 11) # Cremona label: 496d2 # # # a-invariants: (0, 0, 0, -17, 27) # Cremona label: 496e1 # (2,-1) (2,1) (9/4,-3/8) (9/4,3/8) (26,-131) (26,131) (193/144,-4447/1728) (193/144,4447/1728) (21194/9025,144997/857375) (21194/9025,-144997/857375) (-2743534/12609601,-248050252249/44776693151) (-2743534/12609601,248050252249/44776693151) # # a-invariants: (0, 0, 0, -11, -70) # Cremona label: 496f1 # (5,0) (37,224) (7,-14) (7,14) (37,-224) (470/49,-9120/343) (470/49,9120/343) (4261/225,-272384/3375) (4261/225,272384/3375) (92127947521/16302182400,14468689216061569/2081462648832000) (92127947521/16302182400,-14468689216061569/2081462648832000) # # a-invariants: (0, 0, 0, -331, -2310) # Cremona label: 496f2 # (-11,0) (21,0) (-10,0) (685/9,-17360/27) (-259/25,-336/125) (-521/49,930/343) (-521/49,-930/343) (39,210) (685/9,17360/27) (-259/25,336/125) (39,-210) (-4038415/369664,335391945/224755712) (-4038415/369664,-335391945/224755712) (259414/11025,-62647712/1157625) (259414/11025,62647712/1157625) # # a-invariants: (0, 0, 0, -5291, -148134) # Cremona label: 496f3 # (-42,0) (847/9,11690/27) (-51441/1225,-1002/42875) (847/9,-11690/27) (-51441/1225,1002/42875) # # a-invariants: (0, 0, 0, -491, 154) # Cremona label: 496f4 # (-9,62) (22,0) (-9,-62) (-411/25,-7688/125) (229/9,1736/27) (-411/25,7688/125) (-3,40) (301,-5208) (301,5208) (229/9,-1736/27) (-3,-40) (991/25,25914/125) (33727/441,5929370/9261) (-5559/256,98363/4096) (991/25,-25914/125) (33727/441,-5929370/9261) (6/361,-82832/6859) (6/361,82832/6859) (-5559/256,-98363/4096) (105152941/1185921,-1044190950488/1291467969) (-6035067/284089,4782530440/151419437) (105152941/1185921,1044190950488/1291467969) (-6035067/284089,-4782530440/151419437) # # a-invariants: (1, 1, 0, 25, -14) # Cremona label: 497a1 # (2,6) (2,-8) (15/4,-113/8) (15/4,83/8) (114,1168) (114,-1282) (65/64,1637/512) (65/64,-2157/512) (562/81,14624/729) (562/81,-19682/729) (70079/2500,17489667/125000) (70079/2500,-20993617/125000) # # a-invariants: (1, 0, 1, -5, -4) # Cremona label: 498a1 # (-1,0) # # a-invariants: (1, 0, 1, 5, -16) # Cremona label: 498a2 # (7/4,-11/8) # # a-invariants: (1, 0, 1, -9, 28) # Cremona label: 498b1 # (-1,-6) (-1,6) (2,3) (2,-6) (11,-42) (11,30) (-4,0) (-4,3) (7,-22) (7,14) (11/4,-57/8) (11/4,27/8) (-49/25,834/125) (-49/25,-714/125) (164,-2184) (164,2019) (-13/121,6594/1331) (-13/121,-7782/1331) (106/81,-4085/729) (106/81,2402/729) (5759/289,-487290/4913) (5759/289,384474/4913) (-11143/3136,942873/175616) (-11143/3136,-494481/175616) (170906/46225,47480334/9938375) (170906/46225,-94163499/9938375) # # a-invariants: (1, 1, 0, 3, 0) # Cremona label: 501a1 # (0,0) # # a-invariants: (1, 1, 0, -12, -15) # Cremona label: 501a2 # (-5/4,5/8) # # a-invariants: (1, 0, 1, -32, -71) # Cremona label: 503a1 # (7,-12) (7,4) (10513/256,-1156719/4096) (10513/256,984415/4096) (1080521191/76055841,-37535199543388/663282989361) (1080521191/76055841,27448691247316/663282989361) # # a-invariants: (1, -1, 0, 2, -1) # Cremona label: 503b1 # # # a-invariants: (1, 0, 0, -210, -1189) # Cremona label: 503c1 # # # a-invariants: (0, 0, 0, -6, 9) # Cremona label: 504a1 # (-3,0) (4,-7) (4,7) (0,3) (0,-3) (1,-2) (9/4,21/8) (9/4,-21/8) (1,2) (-20/9,-91/27) (24,-117) (-20/9,91/27) (24,117) (261/25,4116/125) (261/25,-4116/125) (-23/16,245/64) (-23/16,-245/64) (1180/841,44597/24389) (1180/841,-44597/24389) (936/529,-24099/12167) (936/529,24099/12167) (9361/1521,849718/59319) (9361/1521,-849718/59319) (-9831/13924,-5897619/1643032) (-9831/13924,5897619/1643032) (-458640/165649,-141216891/67419143) (-458640/165649,141216891/67419143) (11047201/3841600,29669049551/7529536000) (11047201/3841600,-29669049551/7529536000) # # a-invariants: (0, 0, 0, -111, 450) # Cremona label: 504a2 # (6,0) (7,-4) (3,-12) (3,12) (7,4) (-6,-30) (-6,30) (25/4,5/8) (25/4,-5/8) (987/169,2124/2197) (223/9,-3068/27) (987/169,-2124/2197) (223/9,3068/27) (4801/400,-232799/8000) (13206/2401,-285060/117649) (13206/2401,285060/117649) (4801/400,232799/8000) (2746063/444889,-45138812/296740963) (2746063/444889,45138812/296740963) (178924825/21178404,-1046273003515/97463015208) (178924825/21178404,1046273003515/97463015208) # # a-invariants: (0, 0, 0, -54, -135) # Cremona label: 504b1 # (-3,0) # # a-invariants: (0, 0, 0, 81, -702) # Cremona label: 504b2 # (6,0) # # a-invariants: (0, 0, 0, 9, -54) # Cremona label: 504c1 # (3,0) # # a-invariants: (0, 0, 0, -171, -810) # Cremona label: 504c2 # (15,0) (-9,0) (-6,0) # # a-invariants: (0, 0, 0, -2691, -53730) # Cremona label: 504c3 # (-30,0) # # a-invariants: (0, 0, 0, -531, 3726) # Cremona label: 504c4 # (18,0) # # a-invariants: (0, 0, 0, -54, -243) # Cremona label: 504d1 # (9,0) # # a-invariants: (0, 0, 0, -999, -12150) # Cremona label: 504d2 # (-18,0) # # a-invariants: (0, 0, 0, -6, 5) # Cremona label: 504e1 # (1,0) (-2,-3) (2,-1) (-2,3) (2,1) (5,10) (1/4,-15/8) (5,-10) (1/4,15/8) (58/9,-413/27) (22/49,531/343) (58/9,413/27) (22/49,-531/343) (761/400,-5491/8000) (-839/361,-17340/6859) (-839/361,17340/6859) (761/400,5491/8000) (49898/169,11145763/2197) (49898/169,-11145763/2197) (3282805/1535121,-2654992430/1902014919) (3282805/1535121,2654992430/1902014919) (420733452641/48241729600,-262989029360611439/10595813489344000) (420733452641/48241729600,262989029360611439/10595813489344000) # # a-invariants: (0, 0, 0, 9, 26) # Cremona label: 504e2 # (-2,0) (5,-14) (1,-6) (5,14) (1,6) (-1,4) (-1,-4) (19,-84) (19,84) (25,126) (25,-126) (-11/9,98/27) (-11/9,-98/27) (17/4,-95/8) (34/25,-798/125) (34/25,798/125) (17/4,95/8) (1181,40586) (-335/169,1338/2197) (1181,-40586) (-335/169,-1338/2197) (2299/3481,-1166004/205379) (2299/3481,1166004/205379) (2599/441,155996/9261) (2599/441,-155996/9261) (2865358/83521,4870361580/24137569) (-205279/144400,176382769/54872000) (2865358/83521,-4870361580/24137569) (-205279/144400,-176382769/54872000) # # a-invariants: (0, 0, 0, -66, 205) # Cremona label: 504f1 # (5,0) (2,-9) (2,9) (-7,-18) (14,45) (17/4,-9/8) (17/4,9/8) (-7,18) (14,-45) (6,-5) (6,5) (-262/49,-6903/343) (698/169,-3717/2197) (-262/49,6903/343) (305/16,4905/64) (141/25,-436/125) (698/169,3717/2197) (141/25,436/125) (305/16,-4905/64) (44086/81,-9255565/729) (219134/43681,3587085/9129329) (219134/43681,-3587085/9129329) (44086/81,9255565/729) (315217205/28826161,-4352428637640/154767658409) (315217205/28826161,4352428637640/154767658409) # # a-invariants: (0, 0, 0, -111, -110) # Cremona label: 504f2 # (-1,0) (-10,0) (11,0) (-7,-18) (17,54) (-3,14) (53,378) (-7,18) (53,-378) (-3,-14) (17,-54) (74,-630) (74,630) (-31/4,-135/8) (-31/4,135/8) (15,40) (-61/25,1512/125) (-61/25,-1512/125) (15,-40) (-127/121,-3078/1331) (4013/361,-37422/6859) (2177,-101574) (-127/121,3078/1331) (2177,101574) (4013/361,37422/6859) (-803/81,2926/729) (-803/81,-2926/729) (-51481/8281,13890960/753571) (7881/400,-585221/8000) (7881/400,585221/8000) (139091/3481,49991760/205379) (139091/3481,-49991760/205379) (-51481/8281,-13890960/753571) (15802577/1168561,37087040106/1263214441) (15802577/1168561,-37087040106/1263214441) (1925779615/3538161,84494482980920/6655280841) (1925779615/3538161,-84494482980920/6655280841) # # a-invariants: (0, 0, 0, -1371, -19514) # Cremona label: 504f3 # (-22,0) (59,-324) (59,324) (-21,-4) (-21,4) (-2119/100,4779/1000) (78,590) (78,-590) (-2119/100,-4779/1000) (785939/361,696658644/6859) (-215261/9801,-1650644/970299) (-215261/9801,1650644/970299) (785939/361,-696658644/6859) (67753761/1392400,279741976241/1643032000) (67753761/1392400,-279741976241/1643032000) # # a-invariants: (0, 0, 0, 429, -866) # Cremona label: 504f4 # (2,0) (11,72) (11,-72) (51,392) (51,-392) (1814/25,80262/125) (1814/25,-80262/125) (33/4,455/8) (33/4,-455/8) (263411/121,-135198072/1331) (263411/121,135198072/1331) (64411/29241,47350072/5000211) (64411/29241,-47350072/5000211) (47982561/3312400,-552133254191/6028568000) (47982561/3312400,552133254191/6028568000) # # a-invariants: (0, 0, 0, -66, -1339) # Cremona label: 504g1 # (34,-189) (34,189) (13,0) # # a-invariants: (0, 0, 0, -2271, -41470) # Cremona label: 504g2 # (-29,0) (-26,0) (55,0) # # a-invariants: (0, 0, 0, -36291, -2661010) # Cremona label: 504g3 # (-110,0) # # a-invariants: (0, 0, 0, -3531, 9686) # Cremona label: 504g4 # (58,0) # # a-invariants: (0, 0, 0, -3, 110) # Cremona label: 504h1 # (-5,0) # # a-invariants: (0, 0, 0, -363, 2630) # Cremona label: 504h2 # (10,0) # # a-invariants: (1, -1, 0, -10, 15) # Cremona label: 505a1 # (2,-1) (6,9) (6,-15) (7/4,-13/8) (7/4,-1/8) (1441/576,-3845/13824) (2/289,-19001/4913) (1441/576,-30739/13824) (2/289,18967/4913) (8870406/4060225,-8719216449/8181353375) (8870406/4060225,-9154651641/8181353375) # # a-invariants: (1, -1, 0, -5, 26) # Cremona label: 505a2 # (-13/4,13/8) (-2,-4) (22,90) (-2,6) (22,-112) (23/4,79/8) (37/144,8363/1728) (37/144,-8807/1728) (23/4,-125/8) (10534/4225,-1698078/274625) (10534/4225,1013368/274625) (2158/961,107276/29791) (2158/961,-174174/29791) (84673/166464,311226635/67917312) (84673/166464,-345773219/67917312) # # a-invariants: (1, 0, 1, -48, -130) # Cremona label: 506a1 # (-4,1) (-4,2) (10,-26) (10,15) (-825/196,4955/2744) (-825/196,3851/2744) (32266/1681,-6088714/68921) (32266/1681,4696887/68921) (20519474641/238887936,-3094267213019849/3692251938816) (20519474641/238887936,2773425961029737/3692251938816) # # a-invariants: (1, -1, 0, -290561, 60356981) # Cremona label: 506b1 # # # a-invariants: (1, 0, 1, -12, 8) # Cremona label: 506c1 # (4,3) (4,-8) # # a-invariants: (1, 0, 1, -397, -3072) # Cremona label: 506c2 # # # a-invariants: (1, -1, 0, -935, 11229) # Cremona label: 506d1 # (17,-14) (17,-3) (39,162) (39,-201) (35/4,-519/8) (35/4,449/8) (175/9,-554/27) (175/9,29/27) (-31,-83) (-31,114) (4737/256,-27303/4096) (4737/256,-48489/4096) (-7159/1225,-5376769/42875) (-7159/1225,5627334/42875) (604567/25281,-232983202/4019679) (604567/25281,136857049/4019679) (2797062065/160604929,-16982167859726/2035346265217) (2797062065/160604929,-18464999690019/2035346265217) # # a-invariants: (1, -1, 1, -4, -1) # Cremona label: 506e1 # (-1,1) (-1,-1) (3,1) (3,-5) (-1/4,-5/8) (-1/4,-1/8) (43/9,155/27) (43/9,-311/27) (-217/169,1685/2197) (-217/169,-1061/2197) (2289/64,98795/512) (2289/64,-117619/512) # # a-invariants: (1, 0, 0, -86, 292) # Cremona label: 506f1 # (4,-6) (4,2) (12,26) (12,-38) (-4,26) (-4,-22) (6,-2) (6,-4) (-8,26) (-8,-18) (76/9,254/27) (76/9,-482/27) (76/25,-1166/125) (76/25,786/125) (144,-1798) (144,1654) (218/49,-232/343) (218/49,-1294/343) (2556/121,-133202/1331) (2556/121,105086/1331) (-596/1369,930354/50653) (-596/1369,-908302/50653) (30292/4761,-2206966/328509) (30292/4761,116818/328509) (-15269/1444,666369/54872) (-15269/1444,-86147/54872) (639924/93025,-271931342/28372625) (639924/93025,76754522/28372625) (731310064/13816089,18178702549694/51354402813) (731310064/13816089,-20896982057582/51354402813) # # a-invariants: (1, 1, 0, -1693, 26434) # Cremona label: 507a1 # (70,-542) (70,472) (111/4,-449/8) (111/4,227/8) (22,10) (22,-32) (593/64,52891/512) (593/64,-57635/512) (-19754/529,2639984/12167) (-19754/529,-2185642/12167) (-5025/196,-601343/2744) (-5025/196,671693/2744) # # a-invariants: (1, 1, 0, -12678, -3060351) # Cremona label: 507a2 # (6144/25,354243/125) (6144/25,-384963/125) (32519/100,-5391117/1000) (32519/100,5065927/1000) (554863344/55225,13004880417627/12977875) (554863344/55225,-13135273303467/12977875) # # a-invariants: (1, 1, 1, -10, 8) # Cremona label: 507b1 # (2,0) (2,-3) (1,0) (1,-2) (-4,3) (-4,0) (3/4,-19/8) (3/4,5/8) (44/25,-288/125) (44/25,-57/125) (97,-1010) (97,912) (866/361,-29088/6859) (866/361,5775/6859) (2689/2304,-194425/110592) (2689/2304,-45239/110592) (55969/148225,-165564048/57066625) (55969/148225,86949358/57066625) (88701699/3694084,761591171549/7100029448) (88701699/3694084,-939175866475/7100029448) (3605708636/1166290801,98311277729088/39829997144951) (3605708636/1166290801,-261279830502075/39829997144951) # # a-invariants: (1, 1, 1, -75, -1422) # Cremona label: 507b2 # (106,1040) (106,-1147) (27,117) (27,-145) # # a-invariants: (1, 1, 1, 81, -564) # Cremona label: 507c1 # (5,-3) (18,-94) (18,75) (1766/49,70965/343) (1766/49,-83670/343) (94/9,-1222/27) (3837/16,-246165/64) (1653/289,-72615/4913) (1653/289,39601/4913) (94/9,913/27) (3837/16,230753/64) (332539069/41024025,-8205813347663/262758880125) (332539069/41024025,5813141730593/262758880125) # # a-invariants: (1, 1, 1, -764, -7324) # Cremona label: 507c2 # (-45/4,41/8) (-21,10) (31,-16) (-678/49,-7685/343) (-18,-23) (448/9,7004/27) (-678/49,12088/343) (448/9,-8375/27) (148,-1849) (-18,40) (148,1700) (18295/441,1524692/9261) (1112221/4624,1129985425/314432) (-1773189/93025,-524966674/28372625) (18295/441,-1918148/9261) (1112221/4624,-1205930885/314432) (-1773189/93025,1037416694/28372625) (376623449272/120362841,229103005412595772/1320500728611) (376623449272/120362841,-233236261775287495/1320500728611) # # a-invariants: (1, 1, 1, -11749, -495058) # Cremona label: 507c3 # (-253/4,249/8) (-566/9,751/27) (200,2181) (-566/9,920/27) (200,-2382) (1501/9,37957/27) (-3079/49,9687/343) (1501/9,-42487/27) (-3079/49,11523/343) (-14389490/227529,3468919724/108531333) (6621764/529,-17116011390/12167) (-14389490/227529,3286335673/108531333) (6621764/529,16963698651/12167) (511870837/2039184,-10642122695009/2911954752) (511870837/2039184,9908259185021/2911954752) # # a-invariants: (1, 1, 1, -3299, 64670) # Cremona label: 507c4 # (163/4,-167/8) (44,62) (590,-14576) (44,-107) (590,13985) (151,-1819) (25111/441,2102267/9261) (151,1667) (25111/441,-2638859/9261) (104298232189/430147600,-33978440382335317/8921261224000) (104298232189/430147600,31806373785511457/8921261224000) # # a-invariants: (1, 1, 0, -2673, 67797) # Cremona label: 510a1 # (-62,31) # # a-invariants: (1, 1, 0, -46193, 3801813) # Cremona label: 510a2 # (491/4,-491/8) # # a-invariants: (1, 0, 1, -723, -7634) # Cremona label: 510b1 # (31,-16) # # a-invariants: (1, 0, 1, -11603, -482002) # Cremona label: 510b2 # (-249/4,245/8) # # a-invariants: (1, 1, 1, 14, 59) # Cremona label: 510c1 # (-3,1) # # a-invariants: (1, 1, 1, -156, 603) # Cremona label: 510c2 # (19/4,-23/8) # # a-invariants: (1, 1, 1, -101, 299) # Cremona label: 510d1 # (-1,-20) (7,-4) (-1,20) (-9,28) (3,-8) (39,-260) (3,4) (9,10) (-9,-20) (39,220) (9,-20) (31/9,20/27) (23,92) (-11,20) (31/9,-140/27) (23,-116) (11,-32) (11,20) (-11,-10) (3/4,-127/8) (351/49,-260/343) (-81/25,3212/125) (-81/25,-2932/125) (399,7780) (3/4,113/8) (351/49,-2540/343) (399,-8180) (739/9,-21220/27) (269/121,10690/1331) (1327/169,-28276/2197) (-1849/289,146140/4913) (269/121,-14980/1331) (1327/169,8828/2197) (-1849/289,-119620/4913) (739/9,18976/27) (-19917/1681,475832/68921) (-19917/1681,271844/68921) (34281/2209,4614740/103823) (34281/2209,-6329770/103823) (1762223/17689,2224148492/2352637) (569239/281961,-1793983780/149721291) (196889/25600,-48224333/4096000) (569239/281961,1341996580/149721291) (1762223/17689,-2460876788/2352637) (196889/25600,12626093/4096000) (140112921/508369,1611048933260/362467097) (140112921/508369,-1711311913030/362467097) # # a-invariants: (1, 1, 1, -421, -3157) # Cremona label: 510d2 # (-61/4,57/8) (-9,4) (23,-12) (-13,24) (41,-246) (-11,22) (41,204) (-11,-12) (91,804) (91,-896) (-13,-12) (329,5802) (-1621/169,32388/2197) (329,-6132) (-131/9,508/27) (27,64) (27,-92) (-131/9,-142/27) (-1621/169,-13512/2197) (-5297/361,-29268/6859) (6721/256,-338441/4096) (6721/256,226809/4096) (-5297/361,123052/6859) (-949/100,-5331/1000) (19559/49,2667372/343) (19559/49,-2804628/343) (-949/100,13821/1000) (-390771/34969,-80537438/6539203) (126187/1521,-46144708/59319) (126187/1521,41164096/59319) (-390771/34969,147072412/6539203) (45425809521/452838400,9035203477723879/9636401152000) (45425809521/452838400,-10011501105482759/9636401152000) # # a-invariants: (1, 1, 1, -6541, -206341) # Cremona label: 510d3 # (-189/4,185/8) (109,570) (-47,24) (-47,22) (109,-680) (333,-6056) (-71711/1521,1463080/59319) (-71711/1521,1274330/59319) (333,5722) (5047921/12544,-11393101665/1404928) (5047921/12544,10826329585/1404928) (-1702589/36100,147838239/6859000) (-1702589/36100,168794671/6859000) # # a-invariants: (1, 1, 1, 579, -14757) # Cremona label: 510d4 # (67/4,-71/8) (361,6704) (21,74) (21,-96) (361,-7066) (89,-912) (37,-262) (89,822) (37,224) (2449/64,-140867/512) (2449/64,120763/512) (339/4,6117/8) (339/4,-6803/8) (55501/169,12770594/2197) (55501/169,-13494304/2197) (193/9,2128/27) (193/9,-2734/27) (155061,60982304) (155061,-61137366) (1953499/4900,2670740603/343000) (1953499/4900,-2807828533/343000) (1901993/92416,-2553626403/28094464) (1901993/92416,1947326067/28094464) (485972901/5193841,10478195647456/11836763639) (485972901/5193841,-11597564652474/11836763639) (4296961153/53187849,276352972531888/387898982757) (4296961153/53187849,-308078609203474/387898982757) # # a-invariants: (1, 1, 1, -80, 305) # Cremona label: 510e1 # (-11,5) (5,5) (5,-11) # # a-invariants: (1, 1, 1, -1360, 18737) # Cremona label: 510e2 # (25,-47) (21,-11) (17,21) (83/4,-87/8) (17,-39) (-43,21) (25,21) # # a-invariants: (1, 1, 1, -1440, 16305) # Cremona label: 510e3 # (29,-15) (-5,155) (-173/4,169/8) (63,-457) (13,-7) (-5,-151) (63,393) # # a-invariants: (1, 1, 1, -21760, 1226417) # Cremona label: 510e4 # (85,-39) (85,-47) (339/4,-343/8) # # a-invariants: (1, 1, 1, -7220, -224143) # Cremona label: 510e5 # (97,-49) (-237/4,233/8) (-39,19) # # a-invariants: (1, 1, 1, 3060, 102705) # Cremona label: 510e6 # (-109/4,105/8) (45,-601) (45,555) # # a-invariants: (1, 1, 1, -113470, -14759143) # Cremona label: 510e7 # (-781/4,777/8) # # a-invariants: (1, 1, 1, 6550, -962215) # Cremona label: 510e8 # (307/4,-311/8) # # a-invariants: (1, 0, 0, 4, 0) # Cremona label: 510f1 # (0,0) # # a-invariants: (1, 0, 0, -16, -4) # Cremona label: 510f2 # (-1/4,1/8) (4,-2) (-4,2) # # a-invariants: (1, 0, 0, -186, -990) # Cremona label: 510f3 # (-33/4,33/8) # # a-invariants: (1, 0, 0, -166, 806) # Cremona label: 510f4 # (31/4,-31/8) # # a-invariants: (1, 0, 0, 25, -375) # Cremona label: 510g1 # (10,25) (40,-275) (6,-3) (10,-35) (40,235) # # a-invariants: (1, 0, 0, -655, -6223) # Cremona label: 510g2 # (-16,-7) (44,-247) (-16,23) (-49/4,49/8) (44,203) # # a-invariants: (1, 0, 0, -3275, -72435) # Cremona label: 510g3 # (66,-33) # # a-invariants: (1, 0, 0, -52405, -4621873) # Cremona label: 510g4 # (-529/4,529/8) # # a-invariants: (1, -1, 0, -42, -127) # Cremona label: 513a1 # (8,-3) (8,-5) (18983/4,2596263/8) (18983/4,-2634229/8) # # a-invariants: (1, -1, 1, -5, 6) # Cremona label: 513b1 # (2,0) (2,-3) (-1,3) (-1,-3) (0,-3) (0,2) (11/4,-39/8) (11/4,9/8) (32,162) (32,-195) (39/25,-297/125) (39/25,-23/125) (-238/121,-2208/1331) (-238/121,3495/1331) (761/1024,-84381/32768) (761/1024,27261/32768) (6850/1521,304283/59319) (6850/1521,-630752/59319) (117359/14161,29349333/1685159) (117359/14161,-45000213/1685159) # # a-invariants: (1, -1, 1, -91, -245) # Cremona label: 514a1 # (11,-6) (-5,10) (-5,-6) (-29/9,-34/27) (43,-294) (-29/9,94/27) (19,58) (19,-78) (-7,6) (43,250) (-7,0) (-3941/625,-63798/15625) (-641/169,15718/2197) (-641/169,-9582/2197) (3755/289,-159270/4913) (3755/289,90522/4913) (1255/9,42338/27) (1255/9,-46130/27) (-3941/625,146698/15625) (9918427/47089,-32229885750/10218313) (9918427/47089,30067368778/10218313) (144809740091/6760950625,41261923784034186/555919165140625) (144809740091/6760950625,-53724823828157286/555919165140625) # # a-invariants: (1, -1, 1, -1371, -19189) # Cremona label: 514a2 # (-85/4,81/8) (-21,10) (43,-22) (-6077/289,52282/4913) (51,-230) (-191/9,290/27) (557,-13386) (-6077/289,46114/4913) (-191/9,256/27) (557,12828) (51,178) (5426215/64009,-11778447886/16194277) (-2228529/105625,378545506/34328125) (367879/2601,-223396690/132651) (-2228529/105625,311398294/34328125) (5426215/64009,10389421214/16194277) (367879/2601,204502210/132651) # # a-invariants: (1, -1, 1, -21931, -1244565) # Cremona label: 514a3 # (-341/4,337/8) (-221735/2601,5588170/132651) (565,12620) (-221735/2601,5587664/132651) (565,-13186) (30502193539/166487409,-2192320650441622/2148187038327) (30502193539/166487409,1796602660169578/2148187038327) # # a-invariants: (1, -1, 1, -1291, -21589) # Cremona label: 514a4 # (107,-1082) (107,974) (171/4,-175/8) (457/9,4826/27) (160965/289,63027116/4913) (457/9,-6224/27) (160965/289,-65768434/4913) (39161/121,7474160/1331) (39161/121,-7906262/1331) (30389/529,3322370/12167) (30389/529,-4033484/12167) (38830158571/274730625,7024855266478906/4553660109375) (38830158571/274730625,-7673018804902606/4553660109375) # # a-invariants: (1, 0, 0, -4, 0) # Cremona label: 514b1 # (0,0) (2,0) (-2,2) (2,-2) (-2,0) (-1/4,-7/8) (-1/4,9/8) (16,-72) (16,56) (162/49,-2304/343) (-98/81,1792/729) (-98/81,-910/729) (162/49,1170/343) (4225/1024,181935/32768) (-4096/4225,624512/274625) (-4096/4225,-358272/274625) (4225/1024,-317135/32768) (-193442/485809,-356759296/338608873) (-193442/485809,491588370/338608873) # # a-invariants: (1, 0, 0, 16, 4) # Cremona label: 514b2 # (-1/4,1/8) (0,2) (64,482) (0,-2) (64,-546) (63/4,457/8) (193/256,-18249/4096) (63/4,-583/8) (193/256,15161/4096) (8320/3969,-1991746/250047) (8320/3969,1467586/250047) (13656321/4326400,-98833056271/8998912000) (13656321/4326400,70427908591/8998912000) # # a-invariants: (0, -1, 0, -4, -8) # Cremona label: 516a1 # # # a-invariants: (0, -1, 0, 11, -47) # Cremona label: 516b1 # (7,-18) (7,18) (3,-2) (3,2) (16,63) (16,-63) (59,450) (59,-450) (679/169,14886/2197) (679/169,-14886/2197) (813/196,-19937/2744) (813/196,19937/2744) (126343/1849,-44628426/79507) (126343/1849,44628426/79507) (753931/50625,644146046/11390625) (753931/50625,-644146046/11390625) # # a-invariants: (0, 1, 0, -13, -28) # Cremona label: 516c1 # (4,0) # # a-invariants: (0, 1, 0, -228, -1404) # Cremona label: 516c2 # (-9,0) # # a-invariants: (0, 1, 0, -44, -732) # Cremona label: 516d1 # (16,-54) (16,54) # # a-invariants: (0, 1, 0, -7604, -257772) # Cremona label: 516d2 # # # a-invariants: (0, -1, 1, 36, -3) # Cremona label: 517a1 # # # a-invariants: (0, 0, 1, -16, -26) # Cremona label: 517b1 # # # a-invariants: (0, -1, 1, -52, -3863) # Cremona label: 517c1 # (85/4,-521/8) (85/4,513/8) (857/16,-24331/64) (857/16,24267/64) (461/4,9819/8) (461/4,-9827/8) (1129/64,9963/512) (1129/64,-10475/512) (901909/1764,855560215/74088) (901909/1764,-855634303/74088) (21017329/698896,-84688377407/584277056) (21017329/698896,84104100351/584277056) # # a-invariants: (0, 0, 0, -23, 42) # Cremona label: 520a1 # (3,0) (-1,-8) (2,-2) (-1,8) (2,2) (57/16,147/64) (57/16,-147/64) (91/9,784/27) (91/9,-784/27) (-3454/625,8906/15625) (-3454/625,-8906/15625) (5038177/1382976,4165194223/1626379776) (5038177/1382976,-4165194223/1626379776) (8199651/889249,-20777384544/838561807) (8199651/889249,20777384544/838561807) # # a-invariants: (0, 0, 0, -43, -42) # Cremona label: 520a2 # (7,0) (-1,0) (-6,0) (-41/9,-208/27) (39,-240) (-2,6) (-41/9,208/27) (39,240) (41/4,-195/8) (-2,-6) (41/4,195/8) (1537/144,46207/1728) (-5046/2401,735540/117649) (-7441/1681,540960/68921) (-5046/2401,-735540/117649) (18679/529,2507232/12167) (18679/529,-2507232/12167) (1537/144,-46207/1728) (-7441/1681,-540960/68921) (216401321/14884,-3183389776125/1815848) (-43402313/43283241,-94451692400/284760442539) (216401321/14884,3183389776125/1815848) (-43402313/43283241,94451692400/284760442539) (12130684325377/1229810025024,30299145226391741183/1363819963830815232) (12130684325377/1229810025024,-30299145226391741183/1363819963830815232) # # a-invariants: (0, 0, 0, -563, -5138) # Cremona label: 520a3 # (-14,0) (-122/9,46/27) (169/4,1725/8) (169/4,-1725/8) (-122/9,-46/27) (-54600734/4036081,-12949250700/8108486729) (2969617/76176,3770296327/21024576) (2969617/76176,-3770296327/21024576) (-54600734/4036081,12949250700/8108486729) # # a-invariants: (0, 0, 0, 157, -322) # Cremona label: 520a4 # (2,0) (241/36,-6929/216) (241/36,6929/216) (38,-246) (38,246) (1754257/242064,-4119411527/119095488) (43449074/1270129,303922652748/1431435383) (43449074/1270129,-303922652748/1431435383) (1754257/242064,4119411527/119095488) (9366548757293713/644227759044,-906503652933399877736575/517081680063558072) (9366548757293713/644227759044,906503652933399877736575/517081680063558072) # # a-invariants: (0, -1, 0, -20, -28) # Cremona label: 520b1 # (-2,0) # # a-invariants: (0, -1, 0, 0, -100) # Cremona label: 520b2 # (5,0) # # a-invariants: (1, -1, 0, 12, -208) # Cremona label: 522a1 # (7,10) (7,-17) (17,60) (17,-77) (4399/100,-311813/1000) (4399/100,267823/1000) # # a-invariants: (1, -1, 0, -2046, 36244) # Cremona label: 522b1 # (-52,26) # # a-invariants: (1, -1, 0, -32766, 2291092) # Cremona label: 522b2 # (419/4,-419/8) # # a-invariants: (1, -1, 0, -6, -54) # Cremona label: 522c1 # (7,-18) (7,11) # # a-invariants: (1, -1, 0, -1311, -17947) # Cremona label: 522c2 # # # a-invariants: (1, -1, 0, -9, -3699) # Cremona label: 522d1 # # # a-invariants: (1, -1, 0, -58599, 5490531) # Cremona label: 522d2 # # # a-invariants: (1, -1, 0, -45, 139) # Cremona label: 522e1 # (-1,-13) (-1,14) (5,2) (5,-7) (23/4,-77/8) (23/4,31/8) (-3,-14) (-3,17) (215,-3253) (215,3038) (41/64,5209/512) (41/64,-5537/512) (5471/1225,-245174/42875) (5471/1225,53689/42875) (6669/961,-436178/29791) (6669/961,229439/29791) # # a-invariants: (1, -1, 0, 45, -203) # Cremona label: 522f1 # (6,-19) (6,13) (9,-34) (9,25) (1942/9,-88385/27) (1942/9,82559/27) (15303/3481,-2110982/205379) (15303/3481,1208105/205379) # # a-invariants: (1, -1, 0, -4095, 102577) # Cremona label: 522f2 # (36,-47) (36,11) (-51,-395) (-51,446) (382/9,1109/27) (382/9,-2255/27) (123,1142) (123,-1265) (24,-145) (24,121) (571/36,-45677/216) (571/36,42251/216) (51384/625,-9433273/15625) (51384/625,8148673/15625) (-287426/9801,-416219471/970299) (-287426/9801,444674645/970299) (607797/17689,-133131130/2352637) (607797/17689,52294129/2352637) # # a-invariants: (1, -1, 1, -18416, -960173) # Cremona label: 522g1 # (157,-79) # # a-invariants: (1, -1, 1, -294896, -61564589) # Cremona label: 522g2 # (-1253/4,1249/8) # # a-invariants: (1, -1, 1, -146, 713) # Cremona label: 522h1 # (7,-3) (7,-5) # # a-invariants: (1, -1, 1, -56, 1513) # Cremona label: 522h2 # # # a-invariants: (1, -1, 1, 1, 7) # Cremona label: 522i1 # (1,2) (1,-4) (-1,-2) (-1,2) (7,-22) (7,14) (5,-14) (5,8) (-5/4,-11/8) (-5/4,13/8) (13/9,56/27) (13/9,-122/27) (199,2702) (199,-2902) (71/121,2726/1331) (71/121,-4838/1331) (-431/625,-39172/15625) (-431/625,34322/15625) (2681/256,111691/4096) (2681/256,-158683/4096) (-146667451/432681601,20176002200648/9000209982401) (-146667451/432681601,-26125382534798/9000209982401) # # a-invariants: (1, -1, 1, -509, 4677) # Cremona label: 522j1 # (11,12) (11,-24) (-1,-72) (-1,72) (47,-312) (47,264) (15,8) (15,-24) (-25,48) (-25,-24) (17,-36) (17,18) (29,-132) (29,102) (-9,-88) (-9,96) (311/25,744/125) (311/25,-2424/125) (431,8712) (431,-9144) (431/49,-11544/343) (431/49,8184/343) (43/9,-1384/27) (43/9,1228/27) (395/4,-8031/8) (395/4,7233/8) (2315/169,9972/2197) (2315/169,-42264/2197) (-6793/361,-525624/6859) (-6793/361,647832/6859) (10911/529,-757256/12167) (10911/529,494136/12167) (94919/4489,13262808/300763) (94919/4489,-19923144/300763) (-54361/3025,-13253472/166375) (-54361/3025,16076952/166375) (104529/961,-34639708/29791) (104529/961,31369518/29791) (321067889/11505664,-4773418691607/39027212288) (321067889/11505664,3645329199831/39027212288) # # a-invariants: (1, -1, 1, 4, 47) # Cremona label: 522k1 # (-3,1) (3,-11) (3,7) # # a-invariants: (1, -1, 1, -176, 911) # Cremona label: 522k2 # (27/4,-31/8) (9,-5) (-15,7) # # a-invariants: (1, -1, 1, -446, -2329) # Cremona label: 522k3 # (-69/4,65/8) # # a-invariants: (1, -1, 1, -2786, 57287) # Cremona label: 522k4 # (123/4,-127/8) # # a-invariants: (1, -1, 1, -11, -17) # Cremona label: 522l1 # # # a-invariants: (1, -1, 1, -69341, -33115291) # Cremona label: 522m1 # # # a-invariants: (1, -1, 1, 619564, 858878903) # Cremona label: 522m2 # (37,-29715) (37,29677) # # a-invariants: (0, 1, 0, -309, 1991) # Cremona label: 524a1 # (10,1) (10,-1) (37/4,25/8) (37/4,-25/8) (-110/9,-1727/27) (-110/9,1727/27) (97681/10000,-322079/1000000) (97681/10000,322079/1000000) # # a-invariants: (1, 1, 1, -63, 156) # Cremona label: 525a1 # (5,-3) (0,-13) (0,12) (-25/4,171/8) (6,-10) (-25/4,-129/8) (6,3) (30,-178) (25/9,-151/27) (30,147) (25/9,49/27) (1421/169,28569/2197) (7800/2401,-152412/117649) (1421/169,-49239/2197) (7105/576,-618997/13824) (-7800/841,265668/24389) (-7800/841,-63857/24389) (7800/2401,-347437/117649) (7105/576,434653/13824) (14143446/165649,-56270010891/67419143) (14143446/165649,50446209226/67419143) # # a-invariants: (1, 1, 1, -188, -844) # Cremona label: 525a2 # (-5,2) (15,-8) (-45/4,41/8) (-10,17) (120,-1373) (-10,-8) (20,-73) (120,1252) (20,52) (-6,13) (-6,-8) (-305/36,-2443/216) (765/16,18913/64) (-1245/169,-24506/2197) (-305/36,4057/216) (31,140) (31,-172) (-1245/169,38494/2197) (765/16,-22037/64) (-14766/1369,669304/50653) (41420/121,-8666788/1331) (41420/121,8209837/1331) (-9010/1681,-302543/68921) (-9010/1681,603032/68921) (-14766/1369,-173615/50653) (1532521/97344,365366689/30371328) (-22264205/2019241,31389957922/2869341461) (-22264205/2019241,-2621864078/2869341461) (1532521/97344,-873884569/30371328) # # a-invariants: (1, 1, 1, -2813, -58594) # Cremona label: 525a3 # (-125/4,121/8) (-31,13) (125,-1313) (-31,17) (125,1187) (1021/16,8417/64) (1021/16,-12565/64) (-187625/6084,7416349/474552) (-187625/6084,6743849/474552) (-71675671/2301289,46508103785/3491055413) (-71675671/2301289,58732833709/3491055413) # # a-invariants: (1, 1, 1, 437, -4594) # Cremona label: 525a4 # (35/4,-39/8) (20,-123) (70,-648) (20,102) (70,577) (15,-83) (15,67) (119,1263) (119,-1383) (1370,-51423) (1120/121,-31938/1331) (1120/121,18287/1331) (1370,50052) (991/36,33865/216) (122885/2704,43734261/140608) (991/36,-40027/216) (122885/2704,-50264889/140608) (69553815/203401,566449343767/91733851) (69553815/203401,-597909848183/91733851) (198490013470/6334727281,94069942384370592/504187279022071) (198490013470/6334727281,-110372148325483433/504187279022071) (1910047444561/196560995904,-2761394141156231309/87145710656030208) (1910047444561/196560995904,1827425075859192629/87145710656030208) # # a-invariants: (1, 1, 0, 25, 0) # Cremona label: 525b1 # (0,0) # # a-invariants: (1, 1, 0, -100, -125) # Cremona label: 525b2 # (10,-5) (-5/4,5/8) (-10,5) # # a-invariants: (1, 1, 0, -1225, -17000) # Cremona label: 525b3 # (40,-20) (-20,10) (-85/4,85/8) # # a-invariants: (1, 1, 0, -975, 11250) # Cremona label: 525b4 # (75/4,-75/8) # # a-invariants: (1, 1, 0, -19600, -1064375) # Cremona label: 525b5 # (-325/4,325/8) # # a-invariants: (1, 1, 0, -850, -27125) # Cremona label: 525b6 # (155/4,-155/8) # # a-invariants: (1, 1, 0, -450, 3375) # Cremona label: 525c1 # (10,-5) (14,1) (-85/4,-415/8) (-85/4,585/8) (14,-15) (22441/256,-3474557/4096) (166810/19881,34977895/2803221) (166810/19881,-58498105/2803221) (22441/256,3115501/4096) # # a-invariants: (1, 1, 0, 175, 12750) # Cremona label: 525c2 # (-85/4,85/8) (10,120) (10,-130) (26,-202) (26,176) (-69/4,633/8) (-69/4,-495/8) (22265/64,-3420185/512) (22265/64,3242065/512) (437957521/5089536,-9922149420097/11481993216) (437957521/5089536,8934117252721/11481993216) # # a-invariants: (1, 0, 0, -18, 27) # Cremona label: 525d1 # (2,-1) (-3,-6) (3,-3) (-3,9) (3,0) (3/4,-33/8) (6,-15) (3/4,27/8) (6,9) (13/9,38/27) (11,-40) (13/9,-77/27) (11,29) (177/64,-981/512) (-222/49,2337/343) (-222/49,-783/343) (177/64,-435/512) (3237/1681,-22446/68921) (3237/1681,-110271/68921) (1731/25,67689/125) (1731/25,-76344/125) (16918/4761,-1676387/328509) (-9013/7396,4771129/636056) (-9013/7396,-3996011/636056) (16918/4761,509045/328509) (1134579/277729,444701712/146363183) (1134579/277729,-1042624845/146363183) (62411001/2119936,444842316309/3086626816) (62411001/2119936,-535712733765/3086626816) # # a-invariants: (1, 0, 0, 7, 102) # Cremona label: 525d2 # (-17/4,17/8) (1,10) (7,19) (7,-26) (1,-11) (-2,-8) (-2,10) (22,-116) (22,94) (-3,-6) (43,-305) (43,262) (-3,9) (19/4,107/8) (37/16,-809/64) (19/4,-145/8) (37/16,661/64) (-101/25,-178/125) (277,4474) (277,-4751) (-101/25,683/125) (-122/529,-120502/12167) (94/9,-1130/27) (-122/529,123308/12167) (94/9,848/27) (-833/961,-278171/29791) (3817/289,215261/4913) (3817/289,-280150/4913) (-833/961,303994/29791) (79447/676,-23456191/17576) (79447/676,21390569/17576) (-11807/3136,1222955/175616) (-11807/3136,-561763/175616) (45087/14641,-24792861/1771561) (45087/14641,19337334/1771561) (2906686/42025,-5266873574/8615125) (2906686/42025,4671002944/8615125) (11789923/35212356,2100090063685/208950120504) (11789923/35212356,-2170051466767/208950120504) # # a-invariants: (0, -1, 0, -8, 0) # Cremona label: 528a1 # (0,0) (-2,-2) (-2,2) (4,4) (4,-4) (-8/9,64/27) (9,-24) (-8/9,-64/27) (9,24) (-50/121,-2330/1331) (484/25,-10252/125) (484/25,10252/125) (-50/121,2330/1331) (7921/2304,-126647/110592) (7921/2304,126647/110592) (5189284/67081,-11736579476/17373979) (-134162/1297321,-1334404778/1477648619) (5189284/67081,11736579476/17373979) (-134162/1297321,1334404778/1477648619) # # a-invariants: (0, -1, 0, 32, -32) # Cremona label: 528a2 # (1,0) (4,-12) (12,44) (4,12) (12,-44) (34,198) (34,-198) (2,6) (2,-6) (76,660) (36/25,484/125) (76,-660) (36/25,-484/125) (73/9,-712/27) (73/9,712/27) (361/64,8811/512) (361/64,-8811/512) (15108/49,1854292/343) (1516/1369,-95676/50653) (15108/49,-1854292/343) (1516/1369,95676/50653) (57314/3025,13936662/166375) (57314/3025,-13936662/166375) (7132324/373321,-19338421692/228099131) (7132324/373321,19338421692/228099131) (6723167387042/87025590001,17365724375085615306/25672636075885001) (6723167387042/87025590001,-17365724375085615306/25672636075885001) # # a-invariants: (0, -1, 0, 1, -6) # Cremona label: 528b1 # (2,0) # # a-invariants: (0, -1, 0, -44, -96) # Cremona label: 528b2 # (8,0) (-3,0) (-4,0) # # a-invariants: (0, -1, 0, -704, -6960) # Cremona label: 528b3 # (-15,0) # # a-invariants: (0, -1, 0, -104, 288) # Cremona label: 528b4 # (-2,-22) (9,0) (-2,22) # # a-invariants: (0, -1, 0, -8016, 278928) # Cremona label: 528c1 # (52,0) # # a-invariants: (0, -1, 0, -7976, 281808) # Cremona label: 528c2 # (-103,0) # # a-invariants: (0, 1, 0, -12, 12) # Cremona label: 528d1 # (2,0) # # a-invariants: (0, 1, 0, -32, -60) # Cremona label: 528d2 # (-2,0) (-5,0) (6,0) # # a-invariants: (0, 1, 0, -472, -4108) # Cremona label: 528d3 # (-13,0) # # a-invariants: (0, 1, 0, 88, -300) # Cremona label: 528d4 # (3,0) # # a-invariants: (0, -1, 0, 3, 0) # Cremona label: 528e1 # (0,0) # # a-invariants: (0, -1, 0, -12, 12) # Cremona label: 528e2 # (1,0) # # a-invariants: (0, -1, 0, -720, -5184) # Cremona label: 528f1 # (-8,0) # # a-invariants: (0, -1, 0, 1840, -35904) # Cremona label: 528f2 # (17,0) # # a-invariants: (0, -1, 0, -161040, 24927936) # Cremona label: 528f3 # (232,0) # # a-invariants: (0, -1, 0, -160880, 24979776) # Cremona label: 528f4 # (-463,0) # # a-invariants: (0, -1, 0, -88, -272) # Cremona label: 528g1 # (-4,0) (-6,-2) (12,-16) (12,16) (-6,2) (77,666) (77,-666) (-356/81,2368/729) (-356/81,-2368/729) (93324/4225,-24675568/274625) (93324/4225,24675568/274625) (36370753/1774224,184854263687/2363266368) (36370753/1774224,-184854263687/2363266368) # # a-invariants: (0, -1, 0, 72, -1296) # Cremona label: 528g2 # (9,0) (20,88) (36,216) (20,-88) (36,-216) (306,-5346) (306,5346) (10,-18) (10,18) (2196/169,-89640/2197) (2084/25,94952/125) (2196/169,89640/2197) (2084/25,-94952/125) (73341/5476,-17623089/405224) (73341/5476,17623089/405224) (6205/81,-487882/729) (6205/81,487882/729) (23280084/64009,112199667048/16194277) (23280084/64009,-112199667048/16194277) # # a-invariants: (0, -1, 0, -1288, 18160) # Cremona label: 528g3 # (20,0) (84,-704) (84,704) (18,-22) (18,22) (52/9,-2816/27) (29,66) (52/9,2816/27) (29,-66) (564/25,-1088/125) (-30,-170) (564/25,1088/125) (-30,170) (3241/144,-14003/1728) (-11212/361,1132032/6859) (-11212/361,-1132032/6859) (3241/144,14003/1728) (17778/3481,-22204798/205379) (741204/25921,-260389184/4173281) (17778/3481,22204798/205379) (741204/25921,260389184/4173281) (576149/7225,-396188082/614125) (576149/7225,396188082/614125) (82747847401/933424704,-21956975828873173/28517991556608) (82747847401/933424704,21956975828873173/28517991556608) # # a-invariants: (0, -1, 0, -648, 35568) # Cremona label: 528g4 # (-39,0) (-28,176) (-28,-176) (324,-5808) (324,5808) (-6,-198) (-6,198) (82,726) (82,-726) (356/25,-21296/125) (36,240) (36,-240) (356/25,21296/125) (141/4,-1881/8) (133/9,-4598/27) (133/9,4598/27) (141/4,1881/8) (3908/49,-238832/343) (-2844/529,-2398704/12167) (3908/49,238832/343) (-2844/529,2398704/12167) (88554/289,-26234010/4913) (88554/289,26234010/4913) (-686/25,22338/125) (-686/25,-22338/125) (401252,254170576) (401252,-254170576) (-1484207/51984,2052197873/11852352) (-1484207/51984,-2052197873/11852352) (1540401/4489,1904617836/300763) (1540401/4489,-1904617836/300763) (-4167036/628849,-99144090960/498677257) (-4167036/628849,99144090960/498677257) (1236334642/90231001,146145331822974/857104278499) (1236334642/90231001,-146145331822974/857104278499) # # a-invariants: (0, 1, 0, -104, 372) # Cremona label: 528h1 # (6,0) (4,-6) (-2,-24) (4,6) (-2,24) (7,6) (22,-96) (22,96) (7,-6) (46/9,8/27) (-12,6) (46/9,-8/27) (-12,-6) (406/25,7104/125) (121/16,-555/64) (121/16,555/64) (406/25,-7104/125) (1588/361,29886/6859) (1588/361,-29886/6859) (-1154/289,133608/4913) (-1154/289,-133608/4913) (5983/9,-463078/27) (35718/5929,288672/456533) (35718/5929,-288672/456533) (5983/9,463078/27) (14481049/2190400,-13406678493/3241792000) (14481049/2190400,13406678493/3241792000) # # a-invariants: (0, 1, 0, -184, -364) # Cremona label: 528h2 # (-2,0) (-13,0) (14,0) (-10,24) (-4,18) (86,792) (86,-792) (-10,-24) (-4,-18) (20,-66) (20,66) (62,-480) (-19/4,165/8) (-19/4,-165/8) (-226/25,-3168/125) (62,480) (23,-90) (-226/25,3168/125) (23,90) (-250/121,-4536/1331) (2660,137214) (-116/9,154/27) (2660,-137214) (694/49,-2904/343) (-116/9,-154/27) (694/49,2904/343) (-250/121,4536/1331) (7121/400,-385281/8000) (21566/169,3161280/2197) (-4597/1369,763620/50653) (21566/169,-3161280/2197) (-4597/1369,-763620/50653) (7121/400,385281/8000) (-583636/104329,769587354/33698267) (-583636/104329,-769587354/33698267) (35474503/53361,211402594430/12326391) (35474503/53361,-211402594430/12326391) # # a-invariants: (0, 1, 0, -2344, -44428) # Cremona label: 528h3 # (-29,0) (-28,-6) (-28,6) (92,-726) (92,726) (71,-390) (-2779/100,-4719/1000) (-2779/100,4719/1000) (71,390) (-31532/1089,82502/35937) (130348/49,-47061498/343) (130348/49,47061498/343) (-31532/1089,-82502/35937) (8883449/67600,24443777643/17576000) (8883449/67600,-24443777643/17576000) # # a-invariants: (0, 1, 0, 696, -2124) # Cremona label: 528h4 # (30,-216) (3,0) (30,216) (246,3888) (246,-3888) (84,810) (12,-90) (12,90) (6,-48) (84,-810) (6,48) (399/25,14418/125) (750/169,-71928/2197) (237/4,-4005/8) (510,11544) (510,-11544) (237/4,4005/8) (750/169,71928/2197) (399/25,-14418/125) (321852/121,182636370/1331) (201126/5041,107818992/357911) (1444/441,-131230/9261) (1444/441,131230/9261) (201126/5041,-107818992/357911) (321852/121,-182636370/1331) (29209683/231361,-161805988980/111284641) (29209683/231361,161805988980/111284641) # # a-invariants: (0, 1, 0, -77, -330) # Cremona label: 528i1 # (10,0) # # a-invariants: (0, 1, 0, -1292, -18312) # Cremona label: 528i2 # (-21,0) # # a-invariants: (0, 1, 0, -32, -12) # Cremona label: 528j1 # (-6,0) # # a-invariants: (0, 1, 0, -352, 2420) # Cremona label: 528j2 # (-22,0) (10,0) (11,0) # # a-invariants: (0, 1, 0, -5632, 160820) # Cremona label: 528j3 # (43,0) # # a-invariants: (0, 1, 0, -192, 4788) # Cremona label: 528j4 # (-21,0) (12,66) (12,-66) # # a-invariants: (1, 0, 1, -14, -188) # Cremona label: 530a1 # (10,-32) (10,21) # # a-invariants: (1, 0, 1, -2929, -61244) # Cremona label: 530a2 # # # a-invariants: (1, -1, 0, -4, 0) # Cremona label: 530b1 # (0,0) (-1,2) (4,-8) (-1,-1) (4,4) (25/9,20/27) (25/9,-95/27) (-36/25,228/125) (-36/25,-48/125) (4624/121,285464/1331) (-121/1156,-23089/39304) (4624/121,-336328/1331) (-121/1156,27203/39304) (900601/119025,623762516/41063625) (900601/119025,-934469861/41063625) # # a-invariants: (1, -1, 0, 16, -12) # Cremona label: 530b2 # (3/4,-3/8) (2,-6) (14,-60) (2,4) (14,46) (3,6) (73/9,553/27) (73/9,-772/27) (3,-9) (152,1794) (152,-1946) (104/121,1230/1331) (104/121,-2374/1331) (15303/529,1710153/12167) (301/225,-13171/3375) (301/225,8656/3375) (15303/529,-2062122/12167) (344474/67081,-281432516/17373979) (344474/67081,192213750/17373979) (5330703/139876,-13249767171/52313624) (5330703/139876,11256084249/52313624) # # a-invariants: (1, -1, 0, 1226, 30580) # Cremona label: 530c1 # (156,1922) (156,-2078) (31,-328) (31,297) (-4,-158) (-4,162) (-19,-3) (-19,22) (-356/49,-48754/343) (-356/49,51246/343) (99/4,2101/8) (99/4,-2299/8) (1084/9,-38986/27) (1084/9,35734/27) (8781,818422) (8781,-827203) (110524/529,-38523026/12167) (110524/529,35980974/12167) (1871/49,118056/343) (1871/49,-131153/343) (-2288351/123904,2024070401/43614208) (-2288351/123904,-1218570849/43614208) (-4847844/474721,44212146178/327082769) (-4847844/474721,-40871981662/327082769) # # a-invariants: (1, 1, 1, 9, 13) # Cremona label: 530d1 # (1,4) (1,-6) (-1,2) (-1,-2) (11,34) (11,-46) (7,18) (7,-26) (-11/9,38/27) (-11/9,-32/27) (7/4,-61/8) (7/4,39/8) (221,-3406) (221,3184) (47/121,-6442/1331) (47/121,4594/1331) (-941/1369,125962/50653) (-941/1369,-141798/50653) (8359/441,707078/9261) (8359/441,-891878/9261) (-53839/40000,5687309/8000000) (-53839/40000,-2919509/8000000) # # a-invariants: (0, 0, 0, 4, 5) # Cremona label: 532a1 # (-1,0) # # a-invariants: (0, 0, 0, -31, 54) # Cremona label: 532a2 # (2,0) # # a-invariants: (1, 1, 1, -14, 11) # Cremona label: 534a1 # (1,-1) (3,1) (-3,-5) (-3,7) (3,-5) (-1,5) (5,-13) (5,7) (-1,-5) (33,-209) (3/4,-19/8) (3/4,5/8) (33,175) (61/25,-281/125) (-41/9,103/27) (-41/9,-7/27) (61/25,-149/125) (93/289,9815/4913) (627/49,13495/343) (627/49,-18227/343) (93/289,-16309/4913) (-199/1849,248045/79507) (2105/256,76357/4096) (-199/1849,-318995/79507) (2105/256,-114133/4096) (-117363/28561,-13226225/4826809) (-117363/28561,28233763/4826809) (2504701/27225,3778843531/4492125) (2504701/27225,-4196611321/4492125) # # a-invariants: (1, 1, 1, 26, 107) # Cremona label: 534a2 # (-13/4,9/8) (19,-99) (-1,-9) (-1,9) (19,79) (119/25,-2763/125) (3,13) (119/25,2043/125) (3,-17) (131/4,-1683/8) (-119/64,4047/512) (131/4,1413/8) (-119/64,-3607/512) (-701/225,-5087/3375) (44663/121,9209493/1331) (-701/225,12227/3375) (44663/121,-9702117/1331) (171599/14161,71352639/1685159) (171599/14161,-93458079/1685159) (3367857/473344,-10055315279/325660672) (3367857/473344,7412568991/325660672) # # a-invariants: (1, 1, 0, -120, 909) # Cremona label: 537a1 # # # a-invariants: (0, 1, 1, -75, -277) # Cremona label: 537b1 # # # a-invariants: (0, 1, 1, 13, 5) # Cremona label: 537c1 # (1,-5) (1,4) # # a-invariants: (0, 1, 1, -167, -958) # Cremona label: 537c2 # # # a-invariants: (1, 0, 1, 1, -1) # Cremona label: 537d1 # # # a-invariants: (0, 1, 1, -340, 2308) # Cremona label: 537e1 # (2,40) (11,4) (2,-41) (11,-5) # # a-invariants: (0, 1, 1, 2450, -39812) # Cremona label: 537e2 # # # a-invariants: (0, -1, 1, -4377, -110013) # Cremona label: 539a1 # # # a-invariants: (0, -1, 1, -2417, -210708) # Cremona label: 539a2 # # # a-invariants: (0, -1, 1, 21593, 5467657) # Cremona label: 539a3 # # # a-invariants: (0, 0, 1, 98, -86) # Cremona label: 539b1 # # # a-invariants: (1, 0, 1, 170, -3237) # Cremona label: 539c1 # (11,-6) (253/16,3235/64) (123,-1434) (123,1310) (253/16,-4311/64) (1929/64,-95927/512) (1929/64,79983/512) (979/25,-34102/125) (979/25,29082/125) # # a-invariants: (1, 0, 1, -2525, -45279) # Cremona label: 539c2 # (-89/4,85/8) (2045/16,-88157/64) (-117/4,-377/8) (-117/4,603/8) (2045/16,79913/64) (93281/1600,3283109/64000) (93281/1600,-7078349/64000) # # a-invariants: (0, 1, 1, -16, -66) # Cremona label: 539d1 # (9,24) (9,-25) (6,9) (6,-10) (1012/9,-32329/27) (1012/9,32302/27) (6123/361,-480118/6859) (6123/361,473259/6859) # # a-invariants: (0, 1, 1, -506, 7774) # Cremona label: 539d2 # (44,-270) (44,269) (11,-61) (11,60) (-143/9,2951/27) (-143/9,-2978/27) (-22,-94) (-22,93) (29/4,-543/8) (29/4,535/8) (286/9,-4265/27) (286/9,4238/27) (28589/25,-4835162/125) (28589/25,4835037/125) (19151/289,2548647/4913) (19151/289,-2553560/4913) (199144/13689,-98270063/1601613) (199144/13689,96668450/1601613) (-18127/1936,9202447/85184) (-18127/1936,-9287631/85184) # # a-invariants: (0, 1, 1, -383196, 91174234) # Cremona label: 539d3 # (1429/4,45/8) (1429/4,-53/8) (5713/16,-31/64) (5713/16,-33/64) (12469/36,75205/216) (12469/36,-75421/216) (18241/64,-1166847/512) (18241/64,1166335/512) (3391611637/9498724,-17756022211/29275067368) (3391611637/9498724,-11519045157/29275067368) (121475259601/340181136,-8678961963359/6274300872384) (121475259601/340181136,2404661090975/6274300872384) # # a-invariants: (0, 0, 0, -33, 73) # Cremona label: 540a1 # (3,1) (3,-1) # # a-invariants: (0, 0, 0, 27, 297) # Cremona label: 540a2 # # # a-invariants: (0, 0, 0, 3, 1) # Cremona label: 540b1 # (0,-1) (0,1) (9/4,35/8) (9/4,-35/8) (280/81,5291/729) (280/81,-5291/729) (-3519/19600,-1852129/2744000) (-3519/19600,1852129/2744000) (13333320/152881,48696013549/59776471) (13333320/152881,-48696013549/59776471) (2257258249/9070276644,1146658401987805/863835007021272) (2257258249/9070276644,-1146658401987805/863835007021272) # # a-invariants: (0, 0, 0, -57, 169) # Cremona label: 540b2 # (3,5) (3,-5) (8,-15) (5,-3) (8,15) (-7,15) (5,3) (-7,-15) (17/4,15/8) (-1,-15) (-1,15) (23,105) (17/4,-15/8) (23,-105) (33,-185) (33,185) (37/9,55/27) (37/9,-55/27) (0,-13) (0,13) (131/25,471/125) (-127/16,-705/64) (131/25,-471/125) (-127/16,705/64) (347/49,3765/343) (347/49,-3765/343) (785,21993) (752/289,-30405/4913) (1757/529,-49155/12167) (752/289,30405/4913) (1757/529,49155/12167) (785,-21993) (-6353/1089,625535/35937) (-6353/1089,-625535/35937) (3249/676,43295/17576) (3249/676,-43295/17576) (12687/1369,-1058485/50653) (12687/1369,1058485/50653) (7320353/141376,19606570545/53157376) (7320353/141376,-19606570545/53157376) (58534840/10556001,166022124983/34296447249) (58534840/10556001,-166022124983/34296447249) # # a-invariants: (0, 0, 0, -648, 6372) # Cremona label: 540c1 # (12,-18) (12,18) (-24,90) (-24,-90) (21,45) (16,-10) (21,-45) (16,10) (57/4,45/8) (4,62) (57/4,-45/8) (84,-738) (4,-62) (84,738) (-11/9,-2285/27) (4224/289,23670/4913) (2424/49,-105930/343) (4224/289,-23670/4913) (2424/49,105930/343) (-11/9,2285/27) (-6639/400,896391/8000) (42492/1681,5402142/68921) (14812/961,-201842/29791) (-6639/400,-896391/8000) (42492/1681,-5402142/68921) (14812/961,201842/29791) (1735384/2209,2284904870/103823) (1735384/2209,-2284904870/103823) (6117024/588289,-12425406570/451217663) (6117024/588289,12425406570/451217663) # # a-invariants: (0, 0, 0, 1512, 33588) # Cremona label: 540c2 # (-11,-125) (-11,125) (313/4,-6355/8) (313/4,6355/8) (4953061/127449,-17683100875/45499293) (4953061/127449,17683100875/45499293) (60367201/646176400,-3016685347750801/16425804088000) (60367201/646176400,3016685347750801/16425804088000) # # a-invariants: (0, 0, 0, 27, -27) # Cremona label: 540d1 # (3,9) (3,-9) (1,-1) (12,45) (21,99) (1,1) (12,-45) (21,-99) (543/121,18081/1331) (543/121,-18081/1331) (223,3331) (201/100,5949/1000) (201/100,-5949/1000) (223,-3331) (15652/12321,-4181815/1367631) (15652/12321,4181815/1367631) (672452643/488365801,38594184055029/10792395836299) (672452643/488365801,-38594184055029/10792395836299) # # a-invariants: (0, 0, 0, -513, -4563) # Cremona label: 540d2 # (28,-55) (28,55) (2704321/12100,-4423398119/1331000) (2704321/12100,4423398119/1331000) # # a-invariants: (0, 0, 0, -72, -236) # Cremona label: 540e1 # # # a-invariants: (0, 0, 0, 168, -1244) # Cremona label: 540e2 # (12,-50) (12,50) # # a-invariants: (0, 0, 0, 3, -11) # Cremona label: 540f1 # (3,-5) (3,5) # # a-invariants: (0, 0, 0, -297, -1971) # Cremona label: 540f2 # # # a-invariants: (1, 1, 1, -37, -149) # Cremona label: 542a1 # (7,-4) # # a-invariants: (1, 1, 1, -677, -7061) # Cremona label: 542a2 # (-61/4,57/8) # # a-invariants: (1, 1, 1, -8, 9) # Cremona label: 542b1 # (1,-3) (1,1) (-3,-3) (-3,5) (3,3) (3,-7) (7,-23) (7,15) (-11/9,119/27) (-11/9,-113/27) (1/25,-439/125) (1/25,309/125) (99/4,901/8) (99/4,-1107/8) (657/361,-26145/6859) (657/361,6803/6859) (-5243/1369,53089/50653) (-5243/1369,90249/50653) (12823/7569,-2358625/658503) (12823/7569,584521/658503) (167731/5041,63618917/357911) (167731/5041,-75885729/357911) (172461/874225,1797464211/817400375) (172461/874225,-2776115621/817400375) # # a-invariants: (0, 0, 0, -5, 4) # Cremona label: 544a1 # (1,0) (0,2) (3,-4) (3,4) (0,-2) (25/16,3/64) (25/16,-3/64) (-23/9,-8/27) (-23/9,8/27) (96/625,28106/15625) (1779/529,-61100/12167) (96/625,-28106/15625) (1779/529,61100/12167) (352225/576,-209039023/13824) (352225/576,209039023/13824) (3100782200281/1974868090000,394278033431617821/2775282126877000000) (3100782200281/1974868090000,-394278033431617821/2775282126877000000) # # a-invariants: (0, 0, 0, 5, 18) # Cremona label: 544a2 # (-2,0) (2,6) (9/4,-51/8) (9/4,51/8) (2,-6) (-287/144,593/1728) (2446,120972) (2446,-120972) (-287/144,-593/1728) (832034/330625,-1296653202/190109375) (2634057/1493284,-10372164525/1824793048) (832034/330625,1296653202/190109375) (2634057/1493284,10372164525/1824793048) # # a-invariants: (0, -1, 0, -22, 48) # Cremona label: 544b1 # (3,0) # # a-invariants: (0, -1, 0, -17, 65) # Cremona label: 544b2 # (-5,0) # # a-invariants: (0, 1, 0, -22, -48) # Cremona label: 544c1 # (-3,0) # # a-invariants: (0, 1, 0, -17, -65) # Cremona label: 544c2 # (5,0) # # a-invariants: (0, 0, 0, -5, -4) # Cremona label: 544d1 # (-1,0) # # a-invariants: (0, 0, 0, 5, -18) # Cremona label: 544d2 # (2,0) # # a-invariants: (0, -1, 0, -6, 8) # Cremona label: 544e1 # (2,0) # # a-invariants: (0, -1, 0, -16, -12) # Cremona label: 544e2 # (-3,0) # # a-invariants: (0, 1, 0, -6, -8) # Cremona label: 544f1 # (-2,0) # # a-invariants: (0, 1, 0, -16, 12) # Cremona label: 544f2 # (3,0) # # a-invariants: (1, -1, 0, -284, 1915) # Cremona label: 545a1 # (10,-5) (39/4,-49/8) (39/4,-29/8) (6,17) (6,-23) (154/9,929/27) (154/9,-1391/27) (649/64,-3031/512) (649/64,-2161/512) (27990/2809,-736115/148877) (-1809/100,-20741/1000) (27990/2809,-747355/148877) (-1809/100,38831/1000) (20021449/1937664,-8811061789/2697228288) (20021449/1937664,-19058795219/2697228288) # # a-invariants: (1, -1, 0, -289, 1848) # Cremona label: 545a2 # (8,-4) (12,-6) (-77/4,77/8) (-8,-56) (23/4,127/8) (23/4,-173/8) (237/16,1161/64) (237/16,-2109/64) (-8,64) (508/9,-11662/27) (508/9,10138/27) (9937/576,462931/13824) (13723/3364,-5649587/195112) (13723/3364,4853653/195112) (4332/121,230214/1331) (4332/121,-277866/1331) (9937/576,-701419/13824) (89327548/7338681,-215439910426/19880486829) (89327548/7338681,-26548417106/19880486829) (-5091481/280900,-3079587857/148877000) (-5091481/280900,5778072787/148877000) # # a-invariants: (1, -1, 0, -914, -8277) # Cremona label: 545a3 # (-93/4,93/8) (-182/9,1363/27) (-182/9,-817/27) (222,3159) (222,-3381) (8533/144,602257/1728) (-57/4,-273/8) (8533/144,-704653/1728) (-57/4,387/8) (65166/1849,2458185/79507) (65166/1849,-5260323/79507) (-41894/3969,-1314433/250047) (-41894/3969,3953755/250047) (2861257/69696,2359288111/18399744) (2861257/69696,-3114659959/18399744) # # a-invariants: (1, -1, 0, 256, 7625) # Cremona label: 545a4 # (16,-133) (-61/4,61/8) (16,117) (-1064/121,-84773/1331) (1951/36,85397/216) (136,1527) (-19/16,5513/64) (-19/16,-5437/64) (-1064/121,96477/1331) (136,-1663) (1951/36,-97103/216) (145272736/346921,1707977988623/204336469) (12976979/407044,52416502399/259694072) (12976979/407044,-60695815001/259694072) (145272736/346921,-1793543630127/204336469) (-28764130586561/2061435492900,-81458764423764305453/2959747237641033000) (-28764130586561/2061435492900,122757440196030992423/2959747237641033000) # # a-invariants: (1, 1, 0, -108, -486) # Cremona label: 546a1 # # # a-invariants: (1, 0, 1, -8, -10) # Cremona label: 546b1 # # # a-invariants: (1, 0, 1, -57, -164) # Cremona label: 546c1 # (-5,2) (-4,3) (11,-30) (11,18) (-4,0) (-109/25,474/125) (20,72) (20,-93) (-109/25,-54/125) (-311/64,271/512) (-311/64,1705/512) (979/9,-32074/27) (979/9,29110/27) (-157645/41209,9681174/8365427) (-157645/41209,13955334/8365427) (26084/3025,-1293483/166375) (26084/3025,-307512/166375) (37308491/638401,-241546648098/510082399) (37308491/638401,211227081390/510082399) (-12018004/2531281,440972208/4027268071) (-12018004/2531281,14652404085/4027268071) (-19316076581/4284357025,-97592777997538/280432589071375) (-19316076581/4284357025,1081493981535518/280432589071375) # # a-invariants: (1, 0, 1, -137, 380) # Cremona label: 546c2 # (-13,6) (3,-2) (39/4,-43/8) (15,-50) (0,-20) (0,19) (-6,34) (39,214) (39,-254) (-6,-29) (15,34) (39/25,-1798/125) (-9,34) (12,16) (12,-29) (39/25,1478/125) (78,643) (78,-722) (-9,-26) (11/4,-57/8) (-195/16,-695/64) (-195/16,1411/64) (435,8854) (435,-9290) (91/9,58/27) (11/4,27/8) (91/9,-358/27) (516/25,-11401/125) (-1833/841,-616246/24389) (2886/121,122009/1331) (-153/49,-9206/343) (-1833/841,645014/24389) (-153/49,9934/343) (516/25,8696/125) (2886/121,-155086/1331) (67431/289,-18073438/4913) (23055/2209,-1729678/103823) (4680/1849,436105/79507) (-15774/1369,-815753/50653) (23055/2209,542270/103823) (4680/1849,-716852/79507) (-15774/1369,1348738/50653) (67431/289,16922198/4913) (120819/61009,141708562/15069223) (-703261/70225,599589558/18609625) (120819/61009,-186620078/15069223) (62737/576,14883989/13824) (-703261/70225,-431835018/18609625) (62737/576,-16403501/13824) (1221305556/124657225,-11282314752241/1391797917125) (1221305556/124657225,-3745359697624/1391797917125) (94845830243772/1615972321681,-969407647233497643701/2054238559071782329) (94845830243772/1615972321681,846784535656070701024/2054238559071782329) # # a-invariants: (1, 0, 1, -1957, 33140) # Cremona label: 546c3 # (103/4,-107/8) (19,44) (19,-64) (-35,260) (46,-226) (25,-16) (-35,-226) (28,8) (28,-37) (46,179) (25,-10) (-11,236) (82,-694) (1201/49,-1702/343) (664/25,-548/125) (664/25,-2897/125) (82,611) (1201/49,-7048/343) (-11,-226) (6973/16,-593533/64) (1915/169,231668/2197) (1915/169,-258760/2197) (8155/361,-248680/6859) (8155/361,86876/6859) (931/36,-2371/216) (6973/16,565577/64) (931/36,-3431/216) (661456/21025,116764244/3048625) (199978/5929,-42711542/456533) (-48731/961,-779806/29791) (-48731/961,2260676/29791) (661456/21025,-215723989/3048625) (199978/5929,26856703/456533) (92897686/395641,-910340654354/248858189) (106064548/4084441,-141771710897/8254655261) (92897686/395641,851659151671/248858189) (106064548/4084441,-80839395872/8254655261) (4526472289/40449600,269472209769293/257259456000) (4526472289/40449600,-298517832983333/257259456000) # # a-invariants: (1, 0, 1, 403, 2756) # Cremona label: 546c4 # (-25/4,21/8) (153,-1988) (-3,40) (153,1834) (-3,-38) (36,-272) (36,235) (6,70) (6,-77) (103/9,-2716/27) (103/9,2380/27) (23,144) (23,-168) (0,-53) (1914/25,-91798/125) (1914/25,82103/125) (0,52) (-1647/289,-70630/4913) (933,-28976) (-1647/289,93716/4913) (933,28042) (-731/144,45265/1728) (-731/144,-38221/1728) (1739/4,-74361/8) (1739/4,70875/8) (31173/529,-6225376/12167) (31173/529,5496230/12167) (1900050/101761,3899114653/32461759) (1900050/101761,-4537692362/32461759) (17784/1225,4310228/42875) (17784/1225,-4975543/42875) (13519063/301401,51483682628/165469149) (13519063/301401,-59071117364/165469149) (124429356/534361,1348357016033/390617891) (-12354834/3024121,-161789410615/5258946419) (-12354834/3024121,178015520522/5258946419) (124429356/534361,-1439705493160/390617891) (3791689825/35141184,-249351216630491/208316938752) (3791689825/35141184,226665762409139/208316938752) # # a-invariants: (1, 0, 1, 13, 182) # Cremona label: 546d1 # (0,-14) (0,13) # # a-invariants: (1, 0, 1, -122, -4948) # Cremona label: 546d2 # (30,-152) (30,121) # # a-invariants: (1, 0, 1, -26057, -1621108) # Cremona label: 546d3 # # # a-invariants: (1, 1, 1, -100484, -12372091) # Cremona label: 546e1 # # # a-invariants: (1, 0, 0, 714, -82908) # Cremona label: 546f1 # (42,126) (336,6006) (84,714) (84,-798) (336,-6342) (42,-168) # # a-invariants: (1, 0, 0, -3674496, -2711401518) # Cremona label: 546f2 # # # a-invariants: (1, 0, 0, -7, -7) # Cremona label: 546g1 # (-2,1) # # a-invariants: (1, 0, 0, -27, 45) # Cremona label: 546g2 # (2,-1) (15/4,-15/8) (-6,3) # # a-invariants: (1, 0, 0, -417, 3243) # Cremona label: 546g3 # (47/4,-47/8) # # a-invariants: (1, 0, 0, 43, 255) # Cremona label: 546g4 # (-17/4,17/8) # # a-invariants: (1, -1, 0, 3, 0) # Cremona label: 549a1 # (0,0) (4,6) (3/4,-15/8) (4,-10) (3/4,9/8) (768/169,16080/2197) (169/256,4355/4096) (768/169,-26064/2197) (169/256,-7059/4096) (2116/731025,-59127526/625026375) (2193075/2116,-3297002265/97336) (2193075/2116,3196120815/97336) (2116/731025,57318346/625026375) # # a-invariants: (1, -1, 0, -12, 9) # Cremona label: 549a2 # (3/4,-3/8) (16,-69) (0,-3) (0,3) (16,53) (-135/64,-1839/512) (19/4,-71/8) (-135/64,2919/512) (19/4,33/8) (-1248/361,14961/6859) (7024/2025,-184697/91125) (-1248/361,8751/6859) (7024/2025,-131383/91125) (225169/43264,-97190209/8998912) (225169/43264,50355057/8998912) (1603197129331/1546848900,-2060707794921213119/60837567237000) (1603197129331/1546848900,1997654051824624889/60837567237000) # # a-invariants: (1, -1, 1, 25, -26) # Cremona label: 549b1 # (1,-1) (2,-7) (28,134) (2,4) (28,-163) (3943/676,-362393/17576) (3943/676,242299/17576) (797/121,21419/1331) (797/121,-31517/1331) (7021306/308025,16700772731/170953875) (7021306/308025,-20768551436/170953875) # # a-invariants: (1, -1, 1, -110, -134) # Cremona label: 549b2 # (-5/4,1/8) (14,-38) (14,23) (-8,17) (-8,-10) (-563/121,23842/1331) (-563/121,-18980/1331) (29,-158) (29,128) (20596/225,2767786/3375) (-3230/1369,-490249/50653) (-3230/1369,559106/50653) (20596/225,-3080101/3375) (934079/81796,-82491083/23393656) (934079/81796,-208049167/23393656) # # a-invariants: (1, -1, 0, -18, -27) # Cremona label: 549c1 # # # a-invariants: (1, 1, 0, -25, 125) # Cremona label: 550a1 # (5,-15) (5,10) (-5,15) (-5,-10) (-5/4,-95/8) (-5/4,105/8) (11,-42) (11,31) (445/9,8795/27) (445/9,-10130/27) (545/256,-42585/4096) (545/256,33865/4096) (-17195/2401,529290/117649) (-17195/2401,313265/117649) # # a-invariants: (1, 1, 0, 225, -3125) # Cremona label: 550a2 # (15,55) (15,-70) (25,-150) (25,125) (1435/4,-55935/8) (1435/4,53065/8) (1281/121,-39202/1331) (1281/121,25111/1331) # # a-invariants: (1, 0, 1, 249, -6102) # Cremona label: 550b1 # # # a-invariants: (1, 0, 1, -148501, -22038602) # Cremona label: 550b2 # # # a-invariants: (1, 0, 1, -206, -1152) # Cremona label: 550c1 # # # a-invariants: (1, 0, 1, 49, 48) # Cremona label: 550d1 # (2,-14) (2,11) # # a-invariants: (1, 0, 1, -576, -6202) # Cremona label: 550d2 # # # a-invariants: (1, -1, 0, -367, 10541) # Cremona label: 550e1 # # # a-invariants: (1, 0, 1, -701, -7202) # Cremona label: 550f1 # (52,-339) (52,286) (934/25,14888/125) (934/25,-19683/125) (115000087/133956,-1253894939869/49027896) (115000087/133956,1211755880131/49027896) # # a-invariants: (1, 0, 1, 4924, 75298) # Cremona label: 550f2 # (52,661) (52,-714) (-14,-54) (-14,67) (3247/36,-251849/216) (3247/36,232151/216) (2098,95107) (2098,-97206) (25972/961,-14652149/29791) (25972/961,13817226/29791) (-323783/36864,-1226405363/7077888) (-323783/36864,1281493811/7077888) # # a-invariants: (1, 0, 1, -758201, 254051548) # Cremona label: 550f3 # (502,-189) (502,-314) (-764,-19304) (-764,20067) # # a-invariants: (1, 0, 1, -6, 8) # Cremona label: 550g1 # (-3,1) (2,-4) (2,1) (1,-3) (1,1) (-2,-3) (17,61) (17,-79) (-2,4) (37/9,-277/27) (37/9,139/27) (-3/16,169/64) (-3/16,-221/64) (214/49,-3837/343) (-103/361,-23941/6859) (-103/361,19039/6859) (214/49,1996/343) (-5711/3025,669003/166375) (12602/841,1215964/24389) (12602/841,-1605811/24389) (-5711/3025,-521273/166375) (91129/97344,32399791/30371328) (91129/97344,-91203367/30371328) # # a-invariants: (1, 0, 1, -106, 408) # Cremona label: 550g2 # (23/4,-27/8) (3,-13) (3,9) (7,-9) (7,1) (-8,-24) (6,-4) (6,-3) (-8,31) (49/9,-43/27) (17,-69) (49/9,-131/27) (17,51) (268/49,-587/343) (18,57) (268/49,-1632/343) (18,-76) (-189/25,-3099/125) (727/121,-3939/1331) (727/121,-5389/1331) (-189/25,3919/125) (997/144,-14893/1728) (1907/676,170691/17576) (1907/676,-237849/17576) (997/144,1201/1728) (15967,-2025599) (15967,2009631) (125274/17689,3126164/2352637) (125274/17689,-22140243/2352637) (-3442007/408321,7952583241/260917119) (-3442007/408321,-6014057887/260917119) (40950174/2544025,-254908210833/4057719875) (40950174/2544025,185534963428/4057719875) # # a-invariants: (1, 1, 1, 2, 1) # Cremona label: 550h1 # # # a-invariants: (1, 1, 1, -23, -59) # Cremona label: 550h2 # # # a-invariants: (1, 1, 1, -2213, 39531) # Cremona label: 550i1 # (-35,292) (-35,-258) (75,512) (75,-588) (15,92) (15,-108) (31,-60) (31,28) (235/9,184/27) (235/9,-916/27) (25,12) (25,-38) (135/4,411/8) (135/4,-689/8) (9,-148) (9,138) (115,-1208) (115,1092) (-425/9,-4876/27) (-425/9,6124/27) (1615,-65708) (1615,64092) (-21,288) (-21,-268) (2685/49,91356/343) (2685/49,-110494/343) (1225/64,-40081/512) (1225/64,29769/512) (2365/81,10718/729) (2365/81,-32732/729) (4579/169,-74400/2197) (4579/169,12676/2197) (66135/2809,-6949716/148877) (66135/2809,3295684/148877) (20175/529,-1595196/12167) (20175/529,1119004/12167) (46729/225,9540662/3375) (46729/225,-10244972/3375) (-62585/1156,3619443/39304) (-62585/1156,-1530857/39304) (1407825/3481,1620538798/205379) (1407825/3481,-1703805852/205379) # # a-invariants: (1, 1, 1, 7412, 212781) # Cremona label: 550i2 # (5,-503) (5,497) (45,-823) (45,777) (1005,-32503) (1005,31497) (-19,265) (-19,-247) (1045/9,-45581/27) (1045/9,42419/27) (245,3977) (245,-4223) (-105/4,351/8) (-105/4,-149/8) (309,5513) (309,-5823) (34805/361,8957923/6859) (34805/361,-9626077/6859) (-16595/1089,-10912151/35937) (-16595/1089,11423849/35937) (1357205/841,1564340333/24389) (1357205/841,-1603723667/24389) (58749/1681,48271873/68921) (58749/1681,-50749503/68921) (563445/47089,5561885561/10218313) (563445/47089,-5694371439/10218313) (1455305/64,1749861449/512) (1455305/64,-1761504401/512) # # a-invariants: (1, -1, 1, -15, 87) # Cremona label: 550j1 # (-1,-10) (-1,10) (3,-10) (3,6) (19,70) (19,-90) (-5,6) (-5,-2) (9,20) (9,-30) (5,-14) (5,8) (-29/9,-230/27) (-29/9,290/27) (83,-794) (83,710) (51/49,-3270/343) (51/49,2570/343) (31/25,-1186/125) (31/25,906/125) (271/4,-4705/8) (271/4,4155/8) (-417/121,14070/1331) (-417/121,-10814/1331) (7211/1369,432430/50653) (7211/1369,-749890/50653) (12835/1521,1062794/59319) (12835/1521,-1622678/59319) (46485/2209,8577768/103823) (46485/2209,-10866386/103823) (26721579/3721,-138939531490/226981) (26721579/3721,137309288190/226981) # # a-invariants: (1, 1, 1, -28, -69) # Cremona label: 550k1 # # # a-invariants: (1, 1, 1, 197, 681) # Cremona label: 550k2 # (-1,-22) (21,110) (21,-132) (-1,22) # # a-invariants: (1, 1, 1, -30328, 2020281) # Cremona label: 550k3 # (101,-67) (101,-35) (69,477) (69,-547) # # a-invariants: (1, 1, 1, -138, 1031) # Cremona label: 550l1 # (-15,7) # # a-invariants: (1, 1, 1, -2638, 51031) # Cremona label: 550l2 # (115/4,-119/8) # # a-invariants: (1, 1, 1, -5138, -143969) # Cremona label: 550m1 # # # a-invariants: (1, 0, 1, 1, -5) # Cremona label: 551a1 # (7,15) (7,-23) (7/4,-27/8) (7/4,5/8) (655/441,-925/9261) (655/441,-22091/9261) (18865/4096,-3422985/262144) (18865/4096,1953481/262144) # # a-invariants: (1, 0, 0, -11, 14) # Cremona label: 551b1 # (5,7) (5,-12) (2,-2) (2,0) (7/9,56/27) (7/9,-77/27) (-13/4,-21/8) (-13/4,47/8) (-193/121,8120/1331) (-193/121,-5997/1331) (610/441,6392/9261) (610/441,-19202/9261) (50861/21025,-8976044/3048625) (50861/21025,1601199/3048625) (208625/18496,78468973/2515456) (208625/18496,-106841973/2515456) # # a-invariants: (0, 1, 1, -2376, -61851) # Cremona label: 551c1 # (509/4,-10473/8) (509/4,10465/8) (953/16,-6891/64) (953/16,6827/64) (8989/36,835759/216) (8989/36,-835975/216) (90281/64,-27119925/512) (90281/64,27119413/512) (23860345441/331385616,2298322931611175/6032543753664) (23860345441/331385616,-2304355475364839/6032543753664) # # a-invariants: (0, 1, 1, -116, 444) # Cremona label: 551d1 # (9,14) (9,-15) (6,0) (6,-1) (52/9,-28/27) (52/9,1/27) (3,-12) (3,11) (-51/4,25/8) (-51/4,-33/8) (31/9,-280/27) (31/9,253/27) (3624/625,-14932/15625) (3624/625,-693/15625) (3186/529,-13287/12167) (3186/529,1120/12167) (38389/3969,-4602725/250047) (38389/3969,4352678/250047) (36873/16,7081907/64) (36873/16,-7081971/64) (2873517/339889,-2437787269/198155287) (2873517/339889,2239631982/198155287) (15291706/2556801,-3779582975/4088324799) (15291706/2556801,-308741824/4088324799) # # a-invariants: (0, -1, 0, -64, -260) # Cremona label: 552a1 # (10,0) (18,64) (37,216) (37,-216) (18,-64) (58906/361,14235264/6859) (2921/256,78261/4096) (58906/361,-14235264/6859) (2921/256,-78261/4096) # # a-invariants: (0, -1, 0, -1144, -14516) # Cremona label: 552a2 # (-19,0) (45,-152) (-1239/64,437/512) (-1239/64,-437/512) (45,152) (15210257/92416,57770849145/28094464) (15210257/92416,-57770849145/28094464) # # a-invariants: (0, -1, 0, -2908, 61876) # Cremona label: 552b1 # (-62,0) # # a-invariants: (0, -1, 0, -46648, 3893500) # Cremona label: 552b2 # (125,0) # # a-invariants: (0, -1, 0, 4, -12) # Cremona label: 552c1 # (2,0) # # a-invariants: (0, -1, 0, -56, -132) # Cremona label: 552c2 # (-3,0) # # a-invariants: (0, -1, 0, -207, -1080) # Cremona label: 552d1 # (-8,0) (-199/25,1/125) (17,-5) (-199/25,-1/125) (17,5) (-778727/97344,-485155/30371328) (-778727/97344,485155/30371328) (97144/25,30273672/125) (97144/25,-30273672/125) # # a-invariants: (0, -1, 0, -212, -1020) # Cremona label: 552d2 # (17,0) (-10,0) (-6,0) (-196/25,-1242/125) (44,270) (-196/25,1242/125) (-8,-10) (40,-230) (40,230) (44,-270) (-8,10) (426/25,624/125) (426/25,-624/125) (15542,1937520) (-1015/169,1620/2197) (15542,-1937520) (-1439/144,-1495/1728) (-1439/144,1495/1728) (-1015/169,-1620/2197) (4012360/82369,7545055930/23639903) (4012360/82369,-7545055930/23639903) (9456386161/2433600,-919451561432041/3796416000) (9456386161/2433600,919451561432041/3796416000) # # a-invariants: (0, -1, 0, -752, 6972) # Cremona label: 552d3 # (21,0) (-2,-92) (-2,92) (97/9,46/27) (-123/4,-69/8) (1054/25,-27508/125) (46,-260) (1054/25,27508/125) (-123/4,69/8) (97/9,-46/27) (46,260) (2238049/144,3348033065/1728) (88869/4225,-1168428/274625) (88869/4225,1168428/274625) (2238049/144,-3348033065/1728) # # a-invariants: (0, -1, 0, 248, -5252) # Cremona label: 552d4 # (13,0) (1054/25,-34992/125) (38,-240) (1054/25,34992/125) (38,240) (2626597/169,4256733060/2197) (2626597/169,-4256733060/2197) (46969/3600,1265147/216000) (46969/3600,-1265147/216000) # # a-invariants: (0, 1, 0, -4, 32) # Cremona label: 552e1 # (-4,0) (2,6) (2,-6) (-2,6) (-1,6) (14,-54) (-1,-6) (8,-24) (8,24) (14,54) (-2,-6) (146,1770) (17/16,-351/64) (28/9,-208/27) (28/9,208/27) (-94/25,354/125) (17/16,351/64) (-94/25,-354/125) (146,-1770) (-82/2401,-666954/117649) (3623/121,-221334/1331) (2686/529,-157878/12167) (-4024/1369,263208/50653) (3623/121,221334/1331) (2686/529,157878/12167) (-4024/1369,-263208/50653) (-82/2401,666954/117649) (3156284/87025,5677652448/25672375) (-302351/97344,-149119255/30371328) (3156284/87025,-5677652448/25672375) (-302351/97344,149119255/30371328) # # a-invariants: (0, 1, 0, -184, 896) # Cremona label: 552e2 # (8,0) (7,0) (-16,0) (11,-18) (40/9,368/27) (16,48) (5/4,-207/8) (16,-48) (11,18) (40/9,-368/27) (5/4,207/8) (-2129/169,81420/2197) (23792/3481,430560/205379) (1177/144,-3835/1728) (-2129/169,-81420/2197) (1177/144,3835/1728) (3656/25,220896/125) (23792/3481,-430560/205379) (3656/25,-220896/125) (11486224/1270129,-10459359504/1431435383) (5135579/165649,-10860901254/67419143) (11486224/1270129,10459359504/1431435383) (5135579/165649,10860901254/67419143) (314818660321/8471361600,168609599334130319/779704121664000) (314818660321/8471361600,-168609599334130319/779704121664000) # # a-invariants: (0, 1, 0, -304, -544) # Cremona label: 552e3 # (-17,0) (-83/36,-2645/216) (19,30) (-83/36,2645/216) (19,-30) (527089/3600,-381228913/216000) (-8096513/588289,15776017860/451217663) (527089/3600,381228913/216000) (-8096513/588289,-15776017860/451217663) (6742364549299/210395598721,14841517292156085210/96506146781736769) (6742364549299/210395598721,-14841517292156085210/96506146781736769) # # a-invariants: (0, 1, 0, -2944, 60512) # Cremona label: 552e4 # (31,0) (283/9,-118/27) (133/4,177/8) (283/9,118/27) (133/4,-177/8) (632239/4225,-475131012/274625) (15543409/501264,43620785/354894912) (632239/4225,475131012/274625) (15543409/501264,-43620785/354894912) # # a-invariants: (0, 1, 1, -1, -29) # Cremona label: 555a1 # # # a-invariants: (0, 1, 1, -2405, -47869) # Cremona label: 555b1 # (85,607) (85,-608) # # a-invariants: (0, 1, 1, -196805, -33670564) # Cremona label: 555b2 # # # a-invariants: (0, 0, 0, -8, 9) # Cremona label: 556a1 # (2,-1) (2,1) (0,-3) (0,3) (-1,-4) (-1,4) (16/9,17/27) (16/9,-17/27) (50,-353) (50,353) (153/64,-963/512) (153/64,963/512) (434/625,-30377/15625) (434/625,30377/15625) (-5648/2601,532799/132651) (-5648/2601,-532799/132651) (76175/47089,5520236/10218313) (76175/47089,-5520236/10218313) # # a-invariants: (1, 1, 0, 0, 1) # Cremona label: 557a1 # (0,-1) (0,1) (-5/4,13/8) (-5/4,-3/8) (64/25,477/125) (64/25,-797/125) (1905/1024,-142873/32768) (1905/1024,81913/32768) (6824091/40576900,-285342445571/258474853000) (6824091/40576900,241872985901/258474853000) # # a-invariants: (0, -1, 1, -268, 1781) # Cremona label: 557b1 # # # a-invariants: (1, -1, 0, 0, 2) # Cremona label: 558a1 # (1,-2) (1,1) (-1,0) (-1,1) (7/4,-25/8) (7/4,11/8) (23,-120) (23,97) (49/121,1586/1331) (49/121,-2125/1331) (-359/576,-12433/13824) (-359/576,21049/13824) (22849/7225,2168062/614125) (22849/7225,-4110227/614125) (279479/47089,-169175831/10218313) (279479/47089,108528888/10218313) # # a-invariants: (1, -1, 0, -48, 288) # Cremona label: 558b1 # (1,-16) (1,15) # # a-invariants: (1, -1, 0, 417, -6067) # Cremona label: 558b2 # # # a-invariants: (1, -1, 0, -6, -28) # Cremona label: 558c1 # (4,-2) # # a-invariants: (1, -1, 0, -186, -928) # Cremona label: 558c2 # (-29/4,29/8) (16,-8) (-8,4) # # a-invariants: (1, -1, 0, -2976, -61750) # Cremona label: 558c3 # (-125/4,125/8) # # a-invariants: (1, -1, 0, -276, 134) # Cremona label: 558c4 # (67/4,-67/8) # # a-invariants: (1, -1, 0, 135, -243) # Cremona label: 558d1 # (9,-45) (9,36) (3,12) (3,-15) (279/4,4419/8) (279/4,-4977/8) (259/9,4036/27) (259/9,-4813/27) (878241/53824,-1077501435/12487168) (878241/53824,873749523/12487168) (518451849/2175625,-12182615471943/3209046875) (518451849/2175625,11417898994668/3209046875) # # a-invariants: (1, -1, 0, -12555, 544887) # Cremona label: 558d2 # (279,4185) (279,-4464) (93,372) (93,-465) (279/4,279/8) (279/4,-837/8) (589/9,-403/27) (589/9,-1364/27) (63,-63) (63,0) (3441/64,-91605/512) (3441/64,64077/512) (279/25,-80352/125) (279/25,78957/125) (-899/9,25420/27) (-899/9,-22723/27) (-46593/484,-9330039/10648) (-46593/484,10355085/10648) (669/49,207948/343) (669/49,-212631/343) (1308913/20736,-4465457/2985984) (1308913/20736,-184018015/2985984) (61535439/649636,208665644481/523606616) (61535439/649636,-258263208315/523606616) # # a-invariants: (1, -1, 1, -2, -53) # Cremona label: 558e1 # # # a-invariants: (1, -1, 1, 46, 209) # Cremona label: 558f1 # (1,-17) (1,15) (33,-209) (9,-41) (-3,7) (9,31) (-3,-5) (33,175) (-23/9,-203/27) (49,319) (7,25) (49,-369) (-23/9,245/27) (7,-33) (9/169,30811/2197) (51/25,2009/125) (51/25,-2389/125) (1041,33055) (9/169,-33125/2197) (1041,-34097) (10417/441,984467/9261) (-2771/841,-56941/24389) (-2771/841,112911/24389) (21337/1849,-4212995/79507) (21337/1849,3215997/79507) (10417/441,-1212485/9261) (1431897/267289,-3797455565/138188413) (1431897/267289,2918976403/138188413) (307323/3844,-179871385/238328) (307323/3844,160579031/238328) (59758921/18740241,1416372408647/81126503289) (59758921/18740241,-1756195280945/81126503289) # # a-invariants: (1, -1, 1, -434, -7343) # Cremona label: 558f2 # (91,-883) (91,791) (29,47) (29,-77) (37,143) (37,-181) (215,-3239) (215,3023) (2875/4,151129/8) (2875/4,-156887/8) (463/9,-9437/27) (463/9,8021/27) (4398619/4225,9076881367/274625) (4398619/4225,-9363066227/274625) (97700681/541696,-992772890923/398688256) (97700681/541696,920466501451/398688256) (20481000373/685758969,-1630749538131043/17957970121203) (20481000373/685758969,1076455611242089/17957970121203) # # a-invariants: (1, -1, 1, -149, 749) # Cremona label: 558g1 # (9,-14) (9,4) (3,16) (3,-20) (-9,-32) (-9,40) (7,0) (7,-8) (27,-140) (27,112) (21,70) (21,-92) (27/4,5/8) (27/4,-67/8) (-11,36) (-11,-26) (99/25,1508/125) (99/25,-2128/125) (471/49,2248/343) (471/49,-5888/343) (1143,-39200) (1143,38056) (691/81,-8560/729) (691/81,1612/729) (657/361,-160340/6859) (657/361,140998/6859) (-1743/256,-141905/4096) (-1743/256,165697/4096) (36441/5041,-2827300/357911) (36441/5041,-117922/357911) (35203/961,-6770960/29791) (35203/961,5649876/29791) (596511/34969,296821408/6539203) (596511/34969,-414908168/6539203) (329319093/1151329,5785728506084/1235376017) (329319093/1151329,-6140323268890/1235376017) # # a-invariants: (1, -1, 1, -752, 9213) # Cremona label: 558h1 # # # a-invariants: (0, 1, 0, -1, -5) # Cremona label: 560a1 # # # a-invariants: (0, 0, 0, -412, -3316) # Cremona label: 560b1 # # # a-invariants: (0, -1, 0, -21, -35) # Cremona label: 560c1 # # # a-invariants: (0, -1, 0, 139, 61) # Cremona label: 560c2 # # # a-invariants: (0, -1, 0, -2101, 39485) # Cremona label: 560c3 # # # a-invariants: (0, 0, 0, 37, 138) # Cremona label: 560d1 # (-3,0) (29,160) (-1,10) (29,-160) (-1,-10) (6,24) (37/9,-512/27) (37/9,512/27) (6,-24) (-19/529,142240/12167) (911/49,29210/343) (-19/529,-142240/12167) (911/49,-29210/343) (-6623/2304,310607/110592) (146589/289,-56128512/4913) (-6623/2304,-310607/110592) (146589/289,56128512/4913) (19762784101/2331441225,3666360963188224/112573639549125) (19762784101/2331441225,-3666360963188224/112573639549125) # # a-invariants: (0, 0, 0, -283, 1482) # Cremona label: 560d2 # (6,0) (13,0) (-19,0) (31,150) (-3,-48) (31,-150) (229/9,2800/27) (229/9,-2800/27) (-1,-42) (-1,42) (-3,48) (2029,-91392) (118/9,-136/27) (-1191/64,8925/512) (1709/289,-19200/4913) (-1191/64,-8925/512) (118/9,136/27) (2029,91392) (1709/289,19200/4913) (558751/25921,-306609750/4173281) (15261/21025,-108941616/3048625) (15261/21025,108941616/3048625) (4344709/110889,-8301482000/36926037) (4344709/110889,8301482000/36926037) (558751/25921,306609750/4173281) (337824577/665856,-6205838386913/543338496) (337824577/665856,6205838386913/543338496) # # a-invariants: (0, 0, 0, -1403, -18902) # Cremona label: 560d3 # (-26,0) (-17,6) (-17,-6) (391/9,1250/27) (391/9,-1250/27) (18262/9,2467448/27) (18262/9,-2467448/27) (-475271/18496,34018125/2515456) (-475271/18496,-34018125/2515456) (137211942631/2874353769,23322534129381250/154102728617397) (137211942631/2874353769,-23322534129381250/154102728617397) # # a-invariants: (0, 0, 0, -4283, 107882) # Cremona label: 560d4 # (31,-70) (31,70) (38,0) (101,-840) (349/9,-280/27) (101,840) (37,-8) (-11,-392) (37,8) (-11,392) (349/9,280/27) (-74,-140) (-74,140) (47,102) (601/16,35/64) (391/9,1666/27) (47,-102) (391/9,-1666/27) (601/16,-35/64) (12661/81,-1315720/729) (12661/81,1315720/729) (30733/841,315560/24389) (30733/841,-315560/24389) (109/25,-37352/125) (52589/1369,320040/50653) (109/25,37352/125) (52589/1369,-320040/50653) (129881/64,-46783779/512) (396751/14641,-191771510/1771561) (129881/64,46783779/512) (98902/2601,-149768/132651) (98902/2601,149768/132651) (396751/14641,191771510/1771561) (-8538227/284089,-69299569256/151419437) (-8538227/284089,69299569256/151419437) (22498111631/544989025,480094172931654/12722768788625) (22498111631/544989025,-480094172931654/12722768788625) # # a-invariants: (0, 0, 0, 32, -212) # Cremona label: 560e1 # (6,-14) (6,14) (13,49) (13,-49) (62,-490) (62,490) (17/4,7/8) (17/4,-7/8) (46,-314) (46,314) (381/25,7721/125) (381/25,-7721/125) (5974/1089,407582/35937) (5974/1089,-407582/35937) (38673/16,7605241/64) (38673/16,-7605241/64) # # a-invariants: (0, -1, 0, -5, 25) # Cremona label: 560f1 # (5,-10) (5,10) (0,5) (0,-5) (-3,2) (-3,-2) (5/4,35/8) (5/4,-35/8) (85/9,730/27) (85/9,-730/27) (56,-415) (56,415) (885/289,26470/4913) (885/289,-26470/4913) (-1095/784,114715/21952) (-1095/784,-114715/21952) (-7123/3481,973682/205379) (-7123/3481,-973682/205379) # # a-invariants: (0, -1, 0, -805, 9065) # Cremona label: 560f2 # (17,2) (17,-2) (16,-5) (16,5) (-23,-122) (-23,122) (1661/100,791/1000) (1661/100,-791/1000) (28297/1521,799642/59319) (28297/1521,-799642/59319) (217736/3721,90478715/226981) (217736/3721,-90478715/226981) # # a-invariants: (0, -1, 1, -3729, -86416) # Cremona label: 561a1 # # # a-invariants: (0, 1, 1, -269, 1628) # Cremona label: 561b1 # (34,-182) (34,181) (12,-17) (12,16) (37/4,29/8) (37/4,-37/8) (64/9,-316/27) (64/9,289/27) (-2,46) (-2,-47) (-303/16,1057/64) (-303/16,-1121/64) (-314/49,19018/343) (-314/49,-19361/343) (1336/225,-57716/3375) (1336/225,54341/3375) (59821/6724,2087809/551368) (59821/6724,-2639177/551368) (10452/961,293848/29791) (10452/961,-323639/29791) (2838289/5184,-4784159719/373248) (2838289/5184,4783786471/373248) (46456282/797449,-308351309974/712121957) (46456282/797449,307639188017/712121957) # # a-invariants: (0, 1, 1, -8, 8) # Cremona label: 561c1 # (1,-2) (1,1) (-2,-5) (-2,4) (4,-8) (4,7) (3,4) (3,-5) (-11/4,29/8) (-11/4,-37/8) (31/25,104/125) (31/25,-229/125) (136,1591) (136,-1592) (58/81,-1709/729) (58/81,980/729) (-659/529,45299/12167) (-659/529,-57466/12167) (11113/1936,-1199389/85184) (11113/1936,1114205/85184) (42109/17689,-7979798/2352637) (42109/17689,5627161/2352637) (-115134/34225,-21526636/6331625) (-115134/34225,15195011/6331625) (1222154172886/620731258225,-1223596054568082541/489052432761439625) (1222154172886/620731258225,734543621806642916/489052432761439625) # # a-invariants: (1, 0, 0, -12, 15) # Cremona label: 561d1 # (2,-1) # # a-invariants: (1, 0, 0, -17, 0) # Cremona label: 561d2 # (0,0) (-17/4,17/8) (4,-2) # # a-invariants: (1, 0, 0, -182, -957) # Cremona label: 561d3 # (-33/4,33/8) # # a-invariants: (1, 0, 0, 68, 17) # Cremona label: 561d4 # (8,29) (-1/4,1/8) (8,-37) # # a-invariants: (1, 1, 0, -4, 0) # Cremona label: 562a1 # (0,0) # # a-invariants: (1, 1, 0, 16, 20) # Cremona label: 562a2 # (-5/4,5/8) # # a-invariants: (1, 1, 1, -15, 16) # Cremona label: 563a1 # (2,-2) (2,-1) (1,1) (1,-3) (4,-9) (4,4) (7/4,-9/8) (7/4,-13/8) (-2,7) (-2,-6) (5,7) (5,-13) (-4,7) (-4,-4) (16/9,-43/27) (16/9,-32/27) (13/9,-7/27) (13/9,-59/27) (29/16,-101/64) (29/16,-79/64) (-13/4,61/8) (-13/4,-43/8) (56/25,-61/125) (56/25,-344/125) (70/9,-691/27) (70/9,454/27) (64/49,48/343) (64/49,-839/343) (163/4,-2271/8) (163/4,1937/8) (58/81,1286/729) (58/81,-2537/729) (329/169,-4051/2197) (329/169,-2423/2197) (-79/64,-2933/512) (-79/64,3053/512) (262,-4382) (262,4119) (613/289,-3673/4913) (613/289,-11661/4913) (521/169,3353/2197) (521/169,-12323/2197) (970/529,-15126/12167) (970/529,-19351/12167) (829/400,-6807/8000) (829/400,-17773/8000) (1816/961,-50408/29791) (1816/961,-35679/29791) (1369/121,42671/1331) (1369/121,-59061/1331) (1022/841,9731/24389) (1022/841,-63758/24389) (2804/25,-156293/125) (2804/25,142148/125) (6298/3721,-389781/226981) (6298/3721,-221378/226981) (6518/2401,72178/117649) (6518/2401,-509209/117649) (-3071/1089,272849/35937) (-3071/1089,-207443/35937) (317/2809,-652301/148877) (317/2809,486623/148877) (50503/26244,-7574021/4251528) (50503/26244,-4858993/4251528) (39901/24336,-6885419/3796416) (39901/24336,-3135553/3796416) (-36911/7744,-311243/681472) (-36911/7744,2877939/681472) (-7556/29241,20542789/5000211) (-7556/29241,-24250924/5000211) (-80867/17689,12722431/2352637) (-80867/17689,-4319757/2352637) (173644/112225,-74766348/37595375) (173644/112225,-20999767/37595375) (222307/66564,-112156087/17173512) (222307/66564,37627369/17173512) (248161/43264,84556233/8998912) (248161/43264,-145172633/8998912) (652084/31329,473508743/5545233) (652084/31329,-594472844/5545233) (2886370/797449,2093756859/712121957) (2886370/797449,-5383407226/712121957) (155420989/447914896,25637928204279/9479670858944) (155420989/447914896,-38406928874419/9479670858944) (-44146181551/9442980625,4466543494712443/917621642234375) (-44146181551/9442980625,-1094259944728393/917621642234375) # # a-invariants: (0, -1, 0, -221, -1191) # Cremona label: 564a1 # (-8,1) (-8,-1) (237/4,-3489/8) (237/4,3489/8) # # a-invariants: (0, 1, 0, -37, 71) # Cremona label: 564b1 # (5,6) (5,-6) (1,-6) (2,3) (-7,-6) (1,6) (-7,6) (2,-3) (77,678) (29/4,123/8) (37/9,-62/27) (29/4,-123/8) (37/9,62/27) (77,-678) (-295/361,69054/6859) (-230/49,4383/343) (1529/625,-16458/15625) (1529/625,16458/15625) (-230/49,-4383/343) (-295/361,-69054/6859) (117373/8649,-38173346/804357) (102953/26896,-1455261/4410944) (102953/26896,1455261/4410944) (117373/8649,38173346/804357) # # a-invariants: (0, 1, 0, -517, -4681) # Cremona label: 564b2 # (-14,3) (-14,-3) (2821/36,-143623/216) (2821/36,143623/216) (-144437894/11055625,-138367746621/36759953125) (-144437894/11055625,138367746621/36759953125) # # a-invariants: (1, 0, 1, -19, -33) # Cremona label: 565a1 # # # a-invariants: (1, -1, 0, -2, 4) # Cremona label: 566a1 # (0,2) (0,-2) (1,-2) (1,1) (12,-46) (12,34) (-11/9,-34/27) (-11/9,67/27) (240/121,-4262/1331) (240/121,1622/1331) (1309/400,-52663/8000) (1309/400,26483/8000) (-24240/14161,2215282/1685159) (-24240/14161,669278/1685159) # # a-invariants: (1, 0, 0, 1, -1) # Cremona label: 566b1 # # # a-invariants: (1, -1, 0, 0, -3) # Cremona label: 567a1 # (4,-9) (4,5) (7/4,-9/8) (7/4,-5/8) (436/81,-10313/729) (436/81,6389/729) (10849/64,-1170909/512) (10849/64,1084117/512) # # a-invariants: (1, -1, 1, -2, 82) # Cremona label: 567b1 # (10,26) (10,-37) (1,8) (1,-10) (-4,5) (-4,-2) (-5/4,-71/8) (-5/4,73/8) (124/25,1297/125) (124/25,-2042/125) (65,488) (65,-554) (3226/121,162433/1331) (3226/121,-199250/1331) (3409/1024,266185/32768) (3409/1024,-408041/32768) (-11750/4761,2917042/328509) (-11750/4761,-2434801/328509) (-229871/70225,-102360088/18609625) (-229871/70225,144666278/18609625) # # a-invariants: (0, -1, 0, -72, -212) # Cremona label: 568a1 # # # a-invariants: (1, 1, 0, -98, 372) # Cremona label: 570a1 # (-12,6) (4,6) (4,-10) (7,6) (7,-13) (196/9,-2878/27) (-3,-24) (196/9,2290/27) (-3,27) (1012/49,26538/343) (-269/100,-23659/1000) (1012/49,-33622/343) (-269/100,26349/1000) (18517/2601,-1788664/132651) (18517/2601,844297/132651) (25510807/961,-129248997814/29791) (25510807/961,128458162797/29791) (-16103996/1343281,6429973514/1556862679) (-16103996/1343281,12234557850/1556862679) (4770104361/692742400,103281784876131/18232979968000) (4770104361/692742400,-228830931657651/18232979968000) # # a-invariants: (1, 1, 0, -1618, 24388) # Cremona label: 570a2 # (91/4,-91/8) (16,-62) (16,46) (24,-22) (24,-2) (-11,-197) (23,-10) (23,-13) (-11,208) (1108/49,-4418/343) (84,658) (1108/49,-3338/343) (84,-742) (277/9,1480/27) (277/9,-2311/27) (6271/289,-8146/4913) (6271/289,-98461/4913) (85104/3721,-2589782/226981) (85104/3721,-2601562/226981) (-16904/361,58474/6859) (-16904/361,262702/6859) (3050929/141376,-33124427/53157376) (3050929/141376,-1114024877/53157376) (146819/4900,16364963/343000) (146819/4900,-26642293/343000) (34268197114103/1290893041,-201222854798032694890/46380496070089) (34268197114103/1290893041,199991632743920088203/46380496070089) # # a-invariants: (1, 1, 0, -78, -972) # Cremona label: 570b1 # (12,-6) # # a-invariants: (1, 1, 0, -1998, -35148) # Cremona label: 570b2 # (-101/4,101/8) # # a-invariants: (1, 1, 0, -17, 69) # Cremona label: 570c1 # (-6,3) (13,-54) (-2,11) (-2,-9) (13,41) (22/9,-223/27) (3,6) (3,-9) (22/9,157/27) (-5/4,81/8) (10,-37) (-5/4,-71/8) (10,27) (678,17331) (-53/9,2/27) (678,-18009) (-53/9,157/27) (-803/289,-43382/4913) (862/49,22653/343) (-803/289,57033/4913) (862/49,-28687/343) (7306/2025,602911/91125) (489/256,24483/4096) (7306/2025,-931681/91125) (489/256,-32307/4096) (-11138/20449,-25107003/2924207) (-11138/20449,26699737/2924207) (1463467/8649,1708377187/804357) (1463467/8649,-1844479618/804357) # # a-invariants: (1, 1, 0, -397, 2881) # Cremona label: 570c2 # (43/4,-43/8) (-8,79) (12,-1) (12,-11) (-8,-71) (17,29) (7,19) (17,-46) (7,-26) (10,-11) (42,-271) (10,1) (42,229) (103/9,-167/27) (-23,-11) (103/9,-142/27) (-23,34) (72,-631) (508/49,-3053/343) (72,559) (508/49,-503/343) (313/64,15623/512) (313/64,-18127/512) (59/4,-239/8) (59/4,121/8) (1512/121,-19171/1331) (-452/169,140713/2197) (-452/169,-134837/2197) (1512/121,2539/1331) (10297/961,-131906/29791) (6103/9,467858/27) (10297/961,-187301/29791) (6103/9,-486167/27) (-5030/361,-481301/6859) (-5030/361,576871/6859) (294737/14161,91358686/1685159) (294737/14161,-126432389/1685159) (5970961/518400,-2704896001/373248000) (5970961/518400,-1594195919/373248000) # # a-invariants: (1, 0, 1, 3676, -514654) # Cremona label: 570d1 # (65,-33) # # a-invariants: (1, 0, 1, -78244, -7985758) # Cremona label: 570d2 # (-521/4,517/8) (-191,95) (321,-161) # # a-invariants: (1, 0, 1, -1233444, -527363678) # Cremona label: 570d3 # (-2569/4,2565/8) # # a-invariants: (1, 0, 1, -233764, 33569186) # Cremona label: 570d4 # (1527/4,-1531/8) # # a-invariants: (1, 0, 1, 12, -14) # Cremona label: 570e1 # (1,-1) (2,-6) (17,-81) (17,63) (2,3) (169/25,1987/125) (169/25,-2957/125) (34/9,193/27) (34/9,-322/27) (14417/256,-1855617/4096) (14417/256,1620849/4096) (18257/14161,-5668263/1685159) (18257/14161,1810521/1685159) (38642641/450241,227649808609/302111711) (38642641/450241,-253881132431/302111711) # # a-invariants: (1, 0, 1, -68, -142) # Cremona label: 570e2 # (-7,3) (-9/4,5/8) (9,-5) (69,535) (69,-605) (-6,-5) (-3,7) (12,-35) (-3,-5) (-6,10) (12,22) (-99/25,1211/125) (18,58) (-44/9,290/27) (18,-77) (-99/25,-841/125) (29,-165) (-44/9,-185/27) (29,135) (2841/289,37235/4913) (-327/49,2605/343) (-159/64,-1405/512) (903/4,-28039/8) (-327/49,-659/343) (903/4,26225/8) (2841/289,-90445/4913) (-159/64,2165/512) (-8947/3721,805203/226981) (41589/121,8252645/1331) (-8947/3721,-486417/226981) (41589/121,-8711455/1331) (2146/225,-52339/3375) (2146/225,16774/3375) (-829947/162409,706102285/65450827) (-829947/162409,-437084471/65450827) (-717414/190969,773930210/83453453) (-717414/190969,-543873745/83453453) (205207713/3625216,-3112691382823/6902411264) (205207713/3625216,2715073486007/6902411264) # # a-invariants: (1, 0, 1, -968, -11662) # Cremona label: 570e3 # (-73/4,69/8) (72,-578) (-18,10) (-18,7) (72,505) (38,-102) (-4016/225,26447/3375) (38,63) (-4016/225,30418/3375) (-56943/3136,1283267/175616) (261927/1156,128316385/39304) (-56943/3136,1729925/175616) (261927/1156,-137261207/39304) (9372166/27225,27805474291/4492125) (9372166/27225,-29356373806/4492125) (-554144397858/31015084321,50640175034881145/5462097514855631) (-554144397858/31015084321,41488651501433462/5462097514855631) # # a-invariants: (1, 0, 1, -448, 3506) # Cremona label: 570e4 # (55/4,-59/8) (25,77) (25,-103) (10,-13) (10,2) (7,23) (-5,-73) (7,-31) (-20,-58) (-20,77) (-5,77) (115,1157) (115,-1273) (70,527) (16,-31) (16,14) (15,-23) (70,-598) (15,7) (85/16,-2497/64) (-5/4,-509/8) (505/49,-589/343) (85/16,2093/64) (-23,53) (-5/4,511/8) (505/49,-3289/343) (-23,-31) (1375,50297) (1675/121,-5243/1331) (1375,-51673) (280/9,-4246/27) (526/25,-8789/125) (1675/121,-14513/1331) (280/9,3379/27) (526/25,6034/125) (-15305/961,2653007/29791) (2980/361,104018/6859) (-4910/529,-958946/12167) (2980/361,-167497/6859) (1603/169,14243/2197) (-15305/961,-2208343/29791) (-4910/529,1059709/12167) (1603/169,-37279/2197) (40065/841,6759053/24389) (265345/18496,4615187/2515456) (44311/196,8981671/2744) (265345/18496,-43217563/2515456) (40065/841,-7945327/24389) (44311/196,-9604769/2744) (239591575/5851561,2999928764723/14154926059) (11832766/837225,-132460706/766060875) (11832766/837225,-11460581059/766060875) (239591575/5851561,-3593655710707/14154926059) # # a-invariants: (1, 0, 1, -23, 506) # Cremona label: 570f1 # (15,-68) (15,52) (0,-23) (-9,4) (0,22) # # a-invariants: (1, 0, 1, -1103, 13898) # Cremona label: 570f2 # (24,-50) (-6,-140) (71/4,-75/8) (24,25) (-6,145) # # a-invariants: (1, 0, 1, 202, -13624) # Cremona label: 570f3 # (21,-11) # # a-invariants: (1, 0, 1, -7478, -240952) # Cremona label: 570f4 # (-169/4,165/8) # # a-invariants: (1, 1, 1, -31, 53) # Cremona label: 570g1 # (1,-6) (3,-2) (1,4) # # a-invariants: (1, 1, 1, -51, -51) # Cremona label: 570g2 # (7,-4) (-1,0) (-29/4,25/8) # # a-invariants: (1, 1, 1, -621, -6207) # Cremona label: 570g3 # (-61/4,57/8) # # a-invariants: (1, 1, 1, 199, -151) # Cremona label: 570g4 # (3/4,-7/8) # # a-invariants: (1, 1, 1, 0, -3) # Cremona label: 570h1 # (1,-1) # # a-invariants: (1, 1, 1, -30, -75) # Cremona label: 570h2 # (-13/4,9/8) # # a-invariants: (1, 1, 1, -1900, 32525) # Cremona label: 570i1 # (25,25) (25,-51) (-51,25) # # a-invariants: (1, 1, 1, -30780, 2065677) # Cremona label: 570i2 # (101,-51) (403/4,-407/8) (-203,101) # # a-invariants: (1, 1, 1, -31160, 2011565) # Cremona label: 570i3 # (-813/4,809/8) # # a-invariants: (1, 1, 1, -492480, 132819117) # Cremona label: 570i4 # (1619/4,-1623/8) # # a-invariants: (1, 0, 0, -1456, -21604) # Cremona label: 570j1 # (44,-22) # # a-invariants: (1, 0, 0, -23326, -1373170) # Cremona label: 570j2 # (-353/4,353/8) # # a-invariants: (1, 0, 0, -25871, 1614201) # Cremona label: 570k1 # (70,349) (70,-419) (118,-515) (-186,93) (118,397) # # a-invariants: (1, 0, 0, -414991, 102863225) # Cremona label: 570k2 # (374,-115) (374,-259) (278,-3139) (278,2861) (1487/4,-1487/8) # # a-invariants: (1, 0, 0, 85489, 8420985) # Cremona label: 570k3 # (-90,45) # # a-invariants: (1, 0, 0, -463231, 77449961) # Cremona label: 570k4 # (719/4,-719/8) # # a-invariants: (1, 0, 0, 9335, -737383) # Cremona label: 570l1 # (314,-5917) (58,-29) (1274,44963) (134,-1777) (134,1643) (1274,-46237) (74,563) (314,5603) (74,-637) # # a-invariants: (1, 0, 0, -87945, -8655975) # Cremona label: 570l2 # (1290,44355) (-150,1155) (390,-4245) (-150,-1005) (-465/4,465/8) (-210,-645) (-210,855) (1290,-45645) (390,3855) # # a-invariants: (1, 0, 0, -3301465, -2309192023) # Cremona label: 570l3 # (2098,-1049) # # a-invariants: (1, 0, 0, -52823445, -147775056075) # Cremona label: 570l4 # (-16785/4,16785/8) # # a-invariants: (1, 0, 0, -10, 20) # Cremona label: 570m1 # (2,2) (2,-4) (-4,2) # # a-invariants: (1, 0, 0, -190, 992) # Cremona label: 570m2 # (8,-4) (-16,8) (31/4,-31/8) # # a-invariants: (1, 0, 0, -220, 650) # Cremona label: 570m3 # (-65/4,65/8) # # a-invariants: (1, 0, 0, -3040, 64262) # Cremona label: 570m4 # (127/4,-127/8) # # a-invariants: (0, -1, 1, -929, -10595) # Cremona label: 571a1 # # # a-invariants: (0, 1, 1, -4, 2) # Cremona label: 571b1 # (1,0) (1,-1) (0,1) (0,-2) (2,-3) (2,2) (-1,-3) (-1,2) (-2,-3) (-2,2) (5,11) (5,-12) (5/4,3/8) (5/4,-11/8) (7/9,-1/27) (7/9,-26/27) (4/9,-37/27) (4/9,10/27) (-11/4,-3/8) (-11/4,-5/8) (16,-66) (16,65) (9/16,13/64) (9/16,-77/64) (27,142) (27,-143) (19/25,-122/125) (19/25,-3/125) (34/25,-198/125) (34/25,73/125) (91/25,814/125) (91/25,-939/125) (124/9,1403/27) (124/9,-1430/27) (-115/49,533/343) (-115/49,-876/343) (-59/81,-2044/729) (-59/81,1315/729) (140/169,-2059/2197) (140/169,-138/2197) (225/49,3289/343) (225/49,-3632/343) (254/121,-4313/1331) (254/121,2982/1331) (137/256,-5083/4096) (137/256,987/4096) (20/361,-13206/6859) (20/361,6347/6859) (742/529,8139/12167) (742/529,-20306/12167) (-655/289,-13232/4913) (-655/289,8319/4913) (1189/484,33485/10648) (1189/484,-44133/10648) (-143/784,-49041/21952) (-143/784,27089/21952) (1562/1681,-3723/68921) (1562/1681,-65198/68921) (-1053/961,-90953/29791) (-1053/961,61162/29791) (-2266/841,-32982/24389) (-2266/841,8593/24389) (3294/3481,-9097/205379) (3294/3481,-196282/205379) (-3239/5041,618769/357911) (-3239/5041,-976680/357911) (13685/11236,-1569189/1191016) (13685/11236,378173/1191016) (-11774/5625,-1229849/421875) (-11774/5625,807974/421875) (4063/19881,-4815143/2803221) (4063/19881,2011922/2803221) (37940/121,7400986/1331) (37940/121,-7402317/1331) (44593/16,9418383/64) (44593/16,-9418447/64) (50760/289,-11470447/4913) (50760/289,11465534/4913) (125581/123201,882244/43243551) (125581/123201,-44125795/43243551) (-32351/129600,61365743/46656000) (-32351/129600,-108021743/46656000) (311461/133956,-186568595/49027896) (311461/133956,137540699/49027896) (536794/81225,-417924847/23149125) (536794/81225,394775722/23149125) (-674054/354025,-646023169/210644875) (-674054/354025,435378294/210644875) (3633525/2829124,-6844981957/4758586568) (3633525/2829124,2086395389/4758586568) (6971519/312481,18657347838/174676879) (6971519/312481,-18832024717/174676879) (15172112701/205033761,-1882207063994444/2935878423759) (15172112701/205033761,1879271185570685/2935878423759) # # a-invariants: (0, 1, 0, 91, -121) # Cremona label: 572a1 # (5,-22) (5,22) # # a-invariants: (0, 1, 0, -1669, -27401) # Cremona label: 572a2 # # # a-invariants: (1, 0, 0, 3, 0) # Cremona label: 573a1 # (0,0) # # a-invariants: (1, 0, 0, -12, -3) # Cremona label: 573a2 # (-1/4,1/8) # # a-invariants: (0, 1, 1, -1422, -21121) # Cremona label: 573b1 # # # a-invariants: (0, 1, 1, -4, -2) # Cremona label: 573c1 # (-1,1) (-1,-2) (2,1) (2,-2) (-2,-2) (-2,1) (11,-38) (11,37) (-7/16,-11/64) (-7/16,-53/64) (43/9,-298/27) (43/9,271/27) (-394/169,181/2197) (-394/169,-2378/2197) (1754/625,-72242/15625) (1754/625,56617/15625) (-2321/3721,100813/226981) (-2321/3721,-327794/226981) (134297/3136,-49820707/175616) (134297/3136,49645091/175616) # # a-invariants: (1, 1, 0, -2, -2) # Cremona label: 574a1 # (-1,1) (-1,0) (3,4) (3,-7) (-27/16,77/64) (-27/16,31/64) (179/121,-2325/1331) (179/121,356/1331) (-7649/5625,590051/421875) (-7649/5625,-16376/421875) (425969/33856,250494675/6229504) (425969/33856,-328872971/6229504) # # a-invariants: (1, 1, 0, -2061, 35165) # Cremona label: 574b1 # (26,-13) (17,-82) (202/9,481/27) (17,65) (202/9,-1087/27) (314,-5677) (235/9,-295/27) (235/9,-410/27) (314,5363) (39658/9801,157214017/970299) (165023/6724,-760405/551368) (165023/6724,-12771481/551368) (39658/9801,-161140159/970299) (9807931/119025,25339857419/41063625) (9807931/119025,-28723593614/41063625) # # a-invariants: (1, 1, 0, -2221, 29181) # Cremona label: 574b2 # (-213/4,213/8) (121/9,1019/27) (39,-81) (121/9,-1382/27) (39,42) (-482739/13225,410348439/1520875) (2827/9,144742/27) (2827/9,-153223/27) (-482739/13225,-354833454/1520875) (170600791/65901924,81245516529853/534991819032) (170600791/65901924,-82630453751191/534991819032) # # a-invariants: (1, 1, 0, -84, 80) # Cremona label: 574c1 # (8,-4) # # a-invariants: (1, 1, 0, -724, -7728) # Cremona label: 574c2 # (-69/4,69/8) # # a-invariants: (1, 0, 1, -31679, 5254674) # Cremona label: 574d1 # (-233,116) # # a-invariants: (1, 0, 1, -687039, 218902034) # Cremona label: 574d2 # (1863/4,-1867/8) # # a-invariants: (1, -1, 0, -40, -88) # Cremona label: 574e1 # # # a-invariants: (1, 0, 1, -80, 190) # Cremona label: 574f1 # (10,-26) (10,15) (-2,19) (-2,-18) (37/16,181/64) (-74/9,-374/27) (37/16,-393/64) (-74/9,569/27) (9826/1369,-283554/50653) (9826/1369,-130661/50653) (136033/3136,-53205013/175616) (132562/4761,-50911618/328509) (132562/4761,41436331/328509) (136033/3136,45411549/175616) # # a-invariants: (1, 0, 1, -2335, -43598) # Cremona label: 574f2 # (-28,17) (-28,10) (56,17) (56,-74) (-4019/144,29207/1728) (-4019/144,17293/1728) (1010240/169,-1021954874/2197) (1010240/169,1008819557/2197) (1193660242321/20439849024,-500947637666652637/2922244335263232) (1193660242321/20439849024,327370175807240677/2922244335263232) # # a-invariants: (1, 1, 1, -21, -5) # Cremona label: 574g1 # (-1,-4) (-1,4) (7,12) (7,-20) (-5,0) (-5,4) (5,-10) (5,4) (-17/9,164/27) (-17/9,-140/27) (119,1244) (119,-1364) (-11/25,228/125) (-11/25,-298/125) (571/49,-15492/343) (571/49,11152/343) (-4153/961,202772/29791) (-4153/961,-103820/29791) (13615/3249,-71420/185193) (13615/3249,-889828/185193) (-13915/4624,2329453/314432) (-13915/4624,-1697665/314432) (1161287453725/88215534121,1049871138447513474/26200984004812331) (1161287453725/88215534121,-1420987270370641780/26200984004812331) # # a-invariants: (1, -1, 1, 3, 5) # Cremona label: 574h1 # (-1,0) (3,4) (1,-4) (3,-8) (1,2) (-5/9,-52/27) (17,-78) (17,60) (-5/9,40/27) (463/49,8000/343) (-15/64,-1267/512) (-15/64,875/512) (463/49,-11584/343) (20203/4761,2131736/328509) (20203/4761,-3854252/328509) (4832211/34225,10144855736/6331625) (4832211/34225,-11045146396/6331625) (628512193/293642496,14096455446599/5031857811456) (628512193/293642496,-29898498197303/5031857811456) # # a-invariants: (1, -1, 1, -37, 85) # Cremona label: 574h2 # (11/4,-15/8) (13,-48) (1,6) (13,34) (1,-8) (-47/9,344/27) (5,0) (-47/9,-230/27) (5,-6) (85/16,-489/64) (-17/4,111/8) (-17/4,-85/8) (85/16,85/64) (809/529,-83406/12167) (157/9,-2066/27) (157/9,1568/27) (809/529,52632/12167) (3721/1369,-132770/50653) (3721/1369,-55560/50653) (14101/25,1637936/125) (14101/25,-1708566/125) (32033/3136,3661419/175616) (32491/93636,224731781/28652616) (32491/93636,-263326643/28652616) (32033/3136,-5630883/175616) (-3663623/609961,4905167182/476379541) (-3663623/609961,-2520257160/476379541) # # a-invariants: (1, -1, 1, -19353, 958713) # Cremona label: 574i1 # (551,12268) (103,-276) (159,-1452) (103,172) (159,1292) (551,-12820) (-9,1068) (1231/25,-47044/125) (-37,-1256) (-37,1292) (-1313/9,23908/27) (61,-80) (-121,1292) (-9,-1060) (-121,-1172) (-1313/9,-19996/27) (39,-532) (1231/25,40764/125) (61,18) (39,492) (7019,584392) (133,-918) (35839/361,-977372/6859) (5039/25,272828/125) (9439/9,894820/27) (18639/169,747596/2197) (41583/121,7623172/1331) (35839/361,289572/6859) (133,784) (7019,-591412) (5039/25,-298148/125) (9439/9,-923164/27) (41583/121,-8081916/1331) (18639/169,-992100/2197) (-89651/1296,-63774973/46656) (295503/5041,-65101676/357911) (-349561/2209,-12533036/103823) (-89651/1296,66955753/46656) (-643449/7225,888984996/614125) (295503/5041,43763052/357911) (-643449/7225,-834905956/614125) (-349561/2209,28858580/103823) (88719491/724201,359064499640/616295051) (88719491/724201,-435181081532/616295051) # # a-invariants: (1, -1, 1, -9611313, -11466507927) # Cremona label: 574i2 # (-402671/225,3015628/3375) (-402671/225,3021062/3375) (12174189229489/1660970025,-38047716342612871322/67692833368875) (12174189229489/1660970025,37551489567731678252/67692833368875) # # a-invariants: (1, 1, 1, -175, 789) # Cremona label: 574j1 # (23,86) (9,-12) (23,-110) (9,2) # # a-invariants: (1, 1, 1, -15785, -769911) # Cremona label: 574j2 # # # a-invariants: (1, -1, 0, -2, 1) # Cremona label: 575a1 # (0,-1) (0,1) (7/4,-13/8) (7/4,-1/8) (-48/49,-223/343) (-48/49,559/343) (3745/576,-255109/13824) (3745/576,165229/13824) (112966855/29964676,-1298571282889/164026636424) (112966855/29964676,680190718619/164026636424) # # a-invariants: (0, 0, 1, 175, -1344) # Cremona label: 575b1 # (45,-313) (45,312) (10,37) (10,-38) (330/49,-4234/343) (330/49,3891/343) (181/9,-2755/27) (181/9,2728/27) (216705/1024,101052991/32768) (216705/1024,-101085759/32768) (1316485/8281,1515102952/753571) (1316485/8281,-1515856523/753571) # # a-invariants: (0, -1, 1, -458, 3943) # Cremona label: 575c1 # # # a-invariants: (1, -1, 1, -55, 72) # Cremona label: 575d1 # (-6,15) (-6,-10) (19,-85) (19,65) (0,8) (0,-9) (259/36,-85/216) (259/36,-1685/216) (384/361,-33315/6859) (384/361,19160/6859) (3187/289,102385/4913) (3187/289,-161477/4913) (-239286/67081,-230504590/17373979) (-239286/67081,275105685/17373979) (19751089/147456,83579094185/56623104) (19751089/147456,-91220135465/56623104) # # a-invariants: (0, 1, 1, -18, 24) # Cremona label: 575e1 # (3,2) (3,-3) (2,0) (2,-1) (-2,7) (-2,-8) (-1,-7) (-1,6) (33/16,-57/64) (33/16,-7/64) (31/9,91/27) (31/9,-118/27) (198,-2793) (198,2792) (458/169,2523/2197) (458/169,-4720/2197) (4603/2401,21253/117649) (4603/2401,-138902/117649) (-4951/1600,-527307/64000) (-4951/1600,463307/64000) (830938/393129,-39808763/246491883) (830938/393129,-206683120/246491883) # # a-invariants: (0, 0, 0, 0, 8) # Cremona label: 576a1 # (-2,0) (1,-3) (2,4) (1,3) (2,-4) (46,-312) (-7/4,-13/8) (-7/4,13/8) (46,312) (433/121,-9765/1331) (34/225,-9548/3375) (433/121,9765/1331) (34/225,9548/3375) (31073/2704,-5491823/140608) (31073/2704,5491823/140608) (20749922/2927521,95576099756/5008988431) (20749922/2927521,-95576099756/5008988431) (-1549041479/5127992100,1036851436174931/367215514281000) (-1549041479/5127992100,-1036851436174931/367215514281000) # # a-invariants: (0, 0, 0, -60, 176) # Cremona label: 576a2 # (4,0) (2,-8) (10,-24) (10,24) (2,8) (-8,12) (5,-1) (5,1) (-8,-12) (154/25,792/125) (-14/9,440/27) (154/25,-792/125) (-14/9,-440/27) (185/4,2483/8) (628/169,4584/2197) (628/169,-4584/2197) (185/4,-2483/8) (24250/841,-3651864/24389) (24250/841,3651864/24389) (12242/3481,-598328/205379) (12242/3481,598328/205379) (155989/27225,-20248487/4492125) (-138344/47089,184755780/10218313) (155989/27225,20248487/4492125) (-138344/47089,-184755780/10218313) # # a-invariants: (0, 0, 0, 0, -216) # Cremona label: 576a3 # (6,0) (10,-28) (33,189) (10,28) (33,-189) (1705/196,57707/2744) (24342/529,-3793608/12167) (24342/529,3793608/12167) (1705/196,-57707/2744) (91134826/65025,870014590676/16581375) (91134826/65025,-870014590676/16581375) # # a-invariants: (0, 0, 0, -540, -4752) # Cremona label: 576a4 # (-12,0) (-14,8) (42,216) (42,-216) (-14,-8) (-696/49,-2484/343) (-696/49,2484/343) (37,-161) (37,161) (140154/25,-52469208/125) (-31262/2601,-190520/132651) (-31262/2601,190520/132651) (140154/25,52469208/125) (5050873/103684,-9707539283/33386248) (5050873/103684,9707539283/33386248) # # a-invariants: (0, 0, 0, -39, -92) # Cremona label: 576b1 # (-4,0) # # a-invariants: (0, 0, 0, -84, 160) # Cremona label: 576b2 # (8,0) (2,0) (-10,0) # # a-invariants: (0, 0, 0, -1164, 15280) # Cremona label: 576b3 # (20,0) # # a-invariants: (0, 0, 0, 276, 1168) # Cremona label: 576b4 # (-4,0) # # a-invariants: (0, 0, 0, -39, 92) # Cremona label: 576c1 # (4,0) # # a-invariants: (0, 0, 0, -84, -160) # Cremona label: 576c2 # (-2,0) (10,0) (-8,0) # # a-invariants: (0, 0, 0, -1164, -15280) # Cremona label: 576c3 # (-20,0) # # a-invariants: (0, 0, 0, 276, -1168) # Cremona label: 576c4 # (4,0) # # a-invariants: (0, 0, 0, 24, -56) # Cremona label: 576d1 # (2,0) # # a-invariants: (0, 0, 0, -156, -560) # Cremona label: 576d2 # (-4,0) (-10,0) (14,0) # # a-invariants: (0, 0, 0, -2316, -42896) # Cremona label: 576d3 # (-28,0) # # a-invariants: (0, 0, 0, -876, 9520) # Cremona label: 576d4 # (20,0) (-34,0) (14,0) # # a-invariants: (0, 0, 0, -13836, 626416) # Cremona label: 576d5 # (68,0) # # a-invariants: (0, 0, 0, 564, 37744) # Cremona label: 576d6 # (-28,0) # # a-invariants: (0, 0, 0, 0, -8) # Cremona label: 576e1 # (2,0) # # a-invariants: (0, 0, 0, -60, -176) # Cremona label: 576e2 # (-4,0) # # a-invariants: (0, 0, 0, 0, 216) # Cremona label: 576e3 # (-6,0) # # a-invariants: (0, 0, 0, -540, 4752) # Cremona label: 576e4 # (12,0) # # a-invariants: (0, 0, 0, -3, 0) # Cremona label: 576f1 # (0,0) # # a-invariants: (0, 0, 0, 12, 0) # Cremona label: 576f2 # (0,0) # # a-invariants: (0, 0, 0, -27, 0) # Cremona label: 576g1 # (0,0) # # a-invariants: (0, 0, 0, 108, 0) # Cremona label: 576g2 # (0,0) # # a-invariants: (0, 0, 0, 9, 0) # Cremona label: 576h1 # (0,0) (9/4,45/8) (4,10) (4,-10) (9/4,-45/8) (49/400,8407/8000) (3600/49,216180/343) (49/400,-8407/8000) (3600/49,-216180/343) (2896804/2405601,13235577470/3731087151) (2896804/2405601,-13235577470/3731087151) (21650409/2896804,108551954115/4930360408) (21650409/2896804,-108551954115/4930360408) # # a-invariants: (0, 0, 0, -36, 0) # Cremona label: 576h2 # (6,0) (-6,0) (0,0) (-2,8) (-3,-9) (12,-36) (18,-72) (-2,-8) (-3,9) (12,36) (18,72) (-144/25,504/125) (294,5040) (25/4,35/8) (25/4,-35/8) (-6/49,-720/343) (-144/25,-504/125) (294,-5040) (-6/49,720/343) (-4418/1089,-319976/35937) (-1587/1369,-321057/50653) (16428/529,-2065932/12167) (-4418/1089,319976/35937) (-1587/1369,321057/50653) (19602/2209,2021976/103823) (19602/2209,-2021976/103823) (16428/529,2065932/12167) (1442401/19600,1726556399/2744000) (1442401/19600,-1726556399/2744000) (60473718955225/6968554599204,-339760634079313268605/18395604368087917608) (60473718955225/6968554599204,339760634079313268605/18395604368087917608) # # a-invariants: (0, 0, 0, -396, -3024) # Cremona label: 576h3 # (-12,0) (-11,1) (24,36) (24,-36) (-11,-1) (1177/4,40285/8) (-14556/1225,82872/42875) (-14556/1225,-82872/42875) (1177/4,-40285/8) (39647544/1168561,189889876044/1263214441) (-16721531/1490841,-4669918919/1820316861) (39647544/1168561,-189889876044/1263214441) (-16721531/1490841,4669918919/1820316861) # # a-invariants: (0, 0, 0, -396, 3024) # Cremona label: 576h4 # (12,0) (10,8) (10,-8) (-6,-72) (-6,72) (21,-63) (16,-28) (16,28) (21,63) (1290/121,-4968/1331) (-134/9,-2024/27) (-134/9,2024/27) (1290/121,4968/1331) (2377/196,6245/2744) (7356/25,629496/125) (2377/196,-6245/2744) (7356/25,-629496/125) (904170/104329,-525289896/33698267) (904170/104329,525289896/33698267) (41474181/3024121,-69086049417/5258946419) (19009456/576081,70350250292/437245479) (19009456/576081,-70350250292/437245479) (41474181/3024121,69086049417/5258946419) # # a-invariants: (0, 0, 0, 24, 56) # Cremona label: 576i1 # (-2,0) (1,9) (10,36) (1,-9) (10,-36) (1/4,-63/8) (14,56) (1/4,63/8) (14,-56) (505,-11349) (-326/169,-3492/2197) (505,11349) (-326/169,3492/2197) (1457/784,227095/21952) (1457/784,-227095/21952) (22174/3025,-4162032/166375) (22174/3025,4162032/166375) # # a-invariants: (0, 0, 0, -156, 560) # Cremona label: 576i2 # (10,0) (4,0) (-14,0) (2,16) (-8,36) (2,-16) (58,432) (13,27) (58,-432) (13,-27) (-8,-36) (826/25,-22176/125) (65/4,-385/8) (826/25,22176/125) (34/121,30240/1331) (-236/49,-11880/343) (-236/49,11880/343) (34/121,-30240/1331) (65/4,385/8) (-42782/3249,-3369392/185193) (-42782/3249,3369392/185193) (85357/169,24930261/2197) (85357/169,-24930261/2197) (26535041/2371600,53581995839/3652264000) (26535041/2371600,-53581995839/3652264000) # # a-invariants: (0, 0, 0, -876, -9520) # Cremona label: 576i3 # (-20,0) (34,0) (-14,0) (-16,-20) (-446/25,-2592/125) (-446/25,2592/125) (130,1440) (-16,20) (61,-405) (130,-1440) (61,405) (277186/529,145696320/12167) (3929/100,-129283/1000) (-86180/5929,5439960/456533) (277186/529,-145696320/12167) (3929/100,129283/1000) (-86180/5929,-5439960/456533) # # a-invariants: (0, 0, 0, -2316, 42896) # Cremona label: 576i4 # (28,0) (26,-16) (10,-144) (10,144) (26,16) (64,-396) (64,396) (29,-11) (29,11) (-470/9,3952/27) (9946/361,-5616/6859) (-470/9,-3952/27) (9946/361,5616/6859) (14777/484,270515/10648) (51724/1225,6121368/42875) (14777/484,-270515/10648) (51724/1225,-6121368/42875) (14415050/534361,-2765147024/390617891) (14415050/534361,2765147024/390617891) (277781869/549081,-4609507271149/406869021) (277781869/549081,4609507271149/406869021) # # a-invariants: (0, 0, 0, -13836, -626416) # Cremona label: 576i5 # (-68,0) (-1696/25,-92/125) (157,1035) (-1696/25,92/125) (157,-1035) (27998441/52900,144123333739/12167000) (27998441/52900,-144123333739/12167000) # # a-invariants: (0, 0, 0, 564, -37744) # Cremona label: 576i6 # (28,0) (34,-144) (514,11664) (34,144) (514,-11664) (1429/25,53217/125) (1429/25,-53217/125) (128,-1460) (128,1460) (285346/2209,-153661968/103823) (285346/2209,153661968/103823) (1641756748/3136441,-66581366051880/5554637011) (1641756748/3136441,66581366051880/5554637011) # # a-invariants: (1, 1, 1, -873, 5783) # Cremona label: 578a1 # (-33,16) # # a-invariants: (1, 1, 1, -12433, 528295) # Cremona label: 578a2 # (259/4,-263/8) # # a-invariants: (1, 1, 1, -29773, -1989473) # Cremona label: 578a3 # (-101,50) # # a-invariants: (1, 1, 1, -32663, -1583717) # Cremona label: 578a4 # (803/4,-807/8) # # a-invariants: (0, -1, 1, -2, 11) # Cremona label: 579a1 # # # a-invariants: (1, 0, 0, -3, 0) # Cremona label: 579b1 # (0,0) (-1,2) (-1,-1) (3,3) (3,-6) (16/9,-52/27) (16/9,4/27) (-27/16,117/64) (-27/16,-9/64) (-121/625,13442/15625) (1875/121,71025/1331) (-121/625,-10417/15625) (1875/121,-91650/1331) (249001/28224,102699689/4741632) (249001/28224,-144531857/4741632) # # a-invariants: (1, 0, 0, 12, 3) # Cremona label: 579b2 # (-1/4,1/8) (2,-7) (2,5) (46/9,-455/27) (46/9,317/27) (6899/196,529549/2744) (13/144,-3571/1728) (6899/196,-626135/2744) (13/144,3415/1728) (1157234/75625,-1445896277/20796875) (1157234/75625,1127656927/20796875) # # a-invariants: (0, 0, 0, -8, -7) # Cremona label: 580a1 # (-1,0) (4,-5) (-2,1) (-2,-1) (4,5) (8,21) (-14/9,35/27) (-14/9,-35/27) (8,-21) (-29/25,106/125) (-29/25,-106/125) (121/4,-1325/8) (121/4,1325/8) (1408/441,559/9261) (-4054/1849,1365/79507) (-4054/1849,-1365/79507) (1408/441,-559/9261) (8742281/1123600,-23873110821/1191016000) (8742281/1123600,23873110821/1191016000) (4820534729488/137804121,-10583829200742992641/1617682576419) (4820534729488/137804121,10583829200742992641/1617682576419) # # a-invariants: (0, 0, 0, 17, -42) # Cremona label: 580a2 # (2,0) (3,6) (31,174) (31,-174) (3,-6) (67/9,602/27) (67/9,-602/27) (359/49,-7482/343) (359/49,7482/343) (8518/2809,910890/148877) (8518/2809,-910890/148877) (3009/100,-166473/1000) (3009/100,166473/1000) (1630987/815409,57085678/736314327) (1630987/815409,-57085678/736314327) (23647199/169,114992511522/2197) (23647199/169,-114992511522/2197) # # a-invariants: (0, 0, 0, -32, -31) # Cremona label: 580b1 # (-1,0) (-2,5) (-2,-5) (28,145) (28,-145) (8,-15) (-38/9,145/27) (8,15) (-38/9,-145/27) (-5,-2) (25/4,29/8) (-5,2) (25/4,-29/8) (112/9,1045/27) (-382/121,-8265/1331) (112/9,-1045/27) (-382/121,8265/1331) (-218/169,6265/2197) (4852/49,337415/343) (4852/49,-337415/343) (-218/169,-6265/2197) (-2489/2025,231884/91125) (2009/16,-89955/64) (2009/16,89955/64) (-2489/2025,-231884/91125) (2493472/393129,-1134753605/246491883) (2493472/393129,1134753605/246491883) # # a-invariants: (0, 0, 0, 113, -234) # Cremona label: 580b2 # (2,0) (27,150) (27,-150) (7,-30) (7,30) (43/9,-550/27) (43/9,550/27) (47,-330) (47,330) (502,11250) (9/4,-45/8) (9/4,45/8) (502,-11250) (6167/361,-560670/6859) (11203/1089,1614050/35937) (6167/361,560670/6859) (11203/1089,-1614050/35937) (817587/8281,-743449650/753571) (817587/8281,743449650/753571) (4060801/32400,8211989951/5832000) (4060801/32400,-8211989951/5832000) # # a-invariants: (1, 1, 0, -15, -27) # Cremona label: 582a1 # (-2,1) (6,9) (-3,3) (6,-15) (-3,0) (-26/9,83/27) (-26/9,-5/27) (7,13) (7,-20) (-201/100,723/1000) (-201/100,1287/1000) (798,-22959) (798,22161) (5743/1089,217141/35937) (5743/1089,-406660/35937) (-2249283/811801,2255960223/731432701) (-2249283/811801,-229356240/731432701) (704060089/3534400,18074776094153/6644672000) (704060089/3534400,-19398409061473/6644672000) # # a-invariants: (1, 1, 0, 25, -99) # Cremona label: 582a2 # (11/4,-11/8) (5,-16) (27,-159) (27,132) (5,11) (2297/121,103912/1331) (2297/121,-129179/1331) (55/9,-572/27) (55/9,407/27) (79799/100,-22959277/1000) (79799/100,22161287/1000) (99621/35344,-22297869/6644672) (99621/35344,3569121/6644672) # # a-invariants: (1, 1, 1, -46658, -3898033) # Cremona label: 582b1 # (249,-125) # # a-invariants: (1, 1, 1, -746498, -248562097) # Cremona label: 582b2 # (-1997/4,1993/8) # # a-invariants: (1, 1, 1, -34, 47) # Cremona label: 582c1 # (-7,3) (1,3) (1,-5) (5,3) (5,-9) (-1,9) (9,-29) (9,19) (-1,-9) (-5,-9) (41,-285) (41,243) (-5,13) (41/25,-201/125) (41/25,-129/125) (37/9,-59/27) (37/9,-79/27) (119/4,-1425/8) (-215/49,-3387/343) (-215/49,4549/343) (119/4,1179/8) (-799/529,-116883/12167) (-799/529,123093/12167) (1269/121,34169/1331) (1269/121,-49459/1331) (2011/1681,-300865/68921) (2011/1681,149493/68921) (307561/225,168335789/3375) (307561/225,-172952579/3375) (4572125/851929,-8493897303/786330467) (4572125/851929,3487495461/786330467) (23673609/3013696,-120474731089/5231776256) (23673609/3013696,74145569609/5231776256) (59301962999/36862080025,-3079985059553883/7077335054399875) (59301962999/36862080025,-15383030380838997/7077335054399875) # # a-invariants: (1, 1, 1, -514, 4271) # Cremona label: 582c2 # (51/4,-55/8) (13,-9) (13,-5) (37,-213) (37,175) (139/9,263/27) (139/9,-707/27) (15,-23) (15,7) (43,231) (1567/121,-7053/1331) (1567/121,-11515/1331) (43,-275) (2869/225,-22927/3375) (5469,401755) (5469,-407225) (2869/225,-23483/3375) (6343/196,-460615/2744) (200797/15376,-17945915/1906624) (200797/15376,-8859537/1906624) (6343/196,369069/2744) (1022685/64009,-486513701/16194277) (1022685/64009,211580119/16194277) # # a-invariants: (1, 0, 0, -14, -12) # Cremona label: 582d1 # (-2,-2) (4,-2) (-2,4) # # a-invariants: (1, 0, 0, -194, -1056) # Cremona label: 582d2 # (-33/4,33/8) (16,-8) (-8,4) # # a-invariants: (1, 0, 0, -3104, -66822) # Cremona label: 582d3 # (-129/4,129/8) # # a-invariants: (1, 0, 0, -164, -1386) # Cremona label: 582d4 # (63/4,-63/8) # # a-invariants: (0, 1, 1, 6, -5) # Cremona label: 583a1 # # # a-invariants: (1, 1, 0, -358, -3595) # Cremona label: 583b1 # # # a-invariants: (0, 0, 1, 491, -2603) # Cremona label: 583c1 # # # a-invariants: (1, -1, 1, -218, 1432) # Cremona label: 585a1 # (-17,8) (10,8) (8,-17) (10,-19) (8,8) (-13,50) (607/4,14239/8) (-13,-38) (607/4,-15461/8) (5728/441,-304837/9261) (2914/529,197128/12167) (2914/529,-276317/12167) (5728/441,175288/9261) (302633/7744,-168262601/681472) (302633/7744,140949425/681472) # # a-invariants: (1, -1, 1, -3593, 83782) # Cremona label: 585a2 # (139/4,-143/8) (38,-52) (28,53) (38,13) (28,-82) (-53,377) (35,-19) (-53,-325) (35,-17) (472/9,4511/27) (1642/49,-10576/343) (472/9,-5954/27) (1642/49,-1261/343) (66925/1936,-1746251/85184) (623/4,13871/8) (66925/1936,-1283633/85184) (623/4,-15125/8) (8281099/233289,-2784778067/112678587) (8281099/233289,-1327671337/112678587) # # a-invariants: (0, 0, 1, 12, -21) # Cremona label: 585b1 # (3,-7) (3,6) # # a-invariants: (0, 0, 1, -378, -2842) # Cremona label: 585b2 # # # a-invariants: (1, -1, 0, -24, -45) # Cremona label: 585c1 # (6,-3) # # a-invariants: (1, -1, 0, -399, -2970) # Cremona label: 585c2 # (-45/4,45/8) # # a-invariants: (0, 0, 1, -42, 105) # Cremona label: 585d1 # (3,2) (3,-3) (17/4,11/8) (-7,-8) (-7,7) (5,4) (17/4,-19/8) (5,-5) (33/16,303/64) (31/9,-46/27) (33/16,-367/64) (63,-498) (31/9,19/27) (63,497) (8657/2209,-147184/103823) (5813/841,-306052/24389) (5813/841,281663/24389) (8657/2209,43361/103823) (-775/196,38345/2744) (-775/196,-41089/2744) (7411/38025,-76762466/7414875) (7411/38025,69347591/7414875) (1055913/287296,35392107/153990656) (1055913/287296,-189382763/153990656) # # a-invariants: (0, 0, 1, 108, 560) # Cremona label: 585d2 # (30,-176) (30,175) (4,32) (4,-33) (-15/4,-85/8) (-15/4,77/8) (-56/25,2128/125) (-56/25,-2253/125) (7770/961,1304689/29791) (7770/961,-1334480/29791) (9001/144,-867509/1728) (9001/144,865781/1728) (319297665/364122724,-181384259118763/6948189819368) (319297665/364122724,174436069299395/6948189819368) # # a-invariants: (0, 0, 1, -1713, -28022) # Cremona label: 585e1 # # # a-invariants: (1, -1, 0, -990, -11745) # Cremona label: 585f1 # (-18,9) (-4599/256,34749/4096) (-4599/256,38835/4096) (238,-3751) (238,3513) (-76813287858/4293787729,2355772087491327/281359028518183) (-76813287858/4293787729,2677572225979839/281359028518183) # # a-invariants: (1, -1, 0, -1035, -10584) # Cremona label: 585f2 # (147/4,-147/8) (-24,12) (-12,6) (-807/64,12705/512) (-807/64,-6249/512) (-93/4,273/8) (-93/4,-87/8) (948,28686) (40,84) (40,-124) (948,-29634) (-1423320/67081,854195124/17373979) (-917868/64009,-434192178/16194277) (60937/256,-15362125/4096) (-917868/64009,666412782/16194277) (60937/256,14387133/4096) (-1423320/67081,-485555244/17373979) # # a-invariants: (1, -1, 0, -4680, 114075) # Cremona label: 585f3 # (30,-15) (195/4,-195/8) (-78,39) (130,1235) (78,429) (-195/16,-25935/64) (130,-1365) (39/4,2067/8) (78,-507) (39/4,-2145/8) (-195/16,26715/64) (1362/49,-28743/343) (1362/49,19209/343) (3289/64,30615/512) (-88530/1369,-17526795/50653) (3795/4,229305/8) (-88530/1369,20802405/50653) (3795/4,-236895/8) (3289/64,-56927/512) (-7088289/168100,-31965247821/68921000) (8695570/149769,-12609892295/57960603) (8695570/149769,9244706705/57960603) (-7088289/168100,34871446311/68921000) (4135490641/17172736,-264256419733279/71163817984) (4135490641/17172736,247118946516975/71163817984) # # a-invariants: (1, -1, 0, 1890, -61479) # Cremona label: 585f4 # (99/4,-99/8) (115/4,897/8) (60633/64,-15181929/512) (60633/64,14696865/512) (115/4,-1127/8) (3862177873/16386304,-250954949271265/66331758592) (3862177873/16386304,235320853241361/66331758592) # # a-invariants: (1, -1, 0, -73125, 7629336) # Cremona label: 585f5 # (-312,156) (627/4,-627/8) (156,-78) (120,-816) (120,696) (3133/16,-63141/64) (7212/49,42258/343) (7212/49,-92742/343) (3133/16,50609/64) (663/4,-2301/8) (663/4,975/8) (492937/3136,-11064495/175616) (-520260/3721,-866313006/226981) (5268363/5476,-11848826931/405224) (-520260/3721,898048866/226981) (492937/3136,-16539977/175616) (5268363/5476,11458968069/405224) # # a-invariants: (1, -1, 0, 5445, 533250) # Cremona label: 585f6 # (-237/4,237/8) (490,-11230) (-30,-570) (490,10740) (-30,600) (439/4,-12945/8) (573/16,-57423/64) (573/16,55131/64) (439/4,12067/8) (1210/81,567530/729) (290850/1849,176152650/79507) (290850/1849,-188659200/79507) (1210/81,-578420/729) (-3791759/87616,-11468227331/25934336) (185523/196,78846447/2744) (185523/196,-81443769/2744) (-3791759/87616,12590587995/25934336) (-355165705241/25176168900,-2661890884822846063/3994702719363000) (-355165705241/25176168900,2718245027273435533/3994702719363000) # # a-invariants: (1, -1, 0, -1170000, 487402461) # Cremona label: 585f7 # (2499/4,-2499/8) (588,1281) (30612/49,-106917/343) (30612/49,-107367/343) (588,-1869) (122487/196,-879243/2744) (10045/16,-11599/64) (122487/196,-835575/2744) (10045/16,-28581/64) (806628/8281,-14616952449/753571) (806628/8281,14543549301/753571) (23112008115/20376196,2235568618522281/91978148744) (23112008115/20376196,-2339896223153391/91978148744) # # a-invariants: (1, -1, 0, -71370, 8011575) # Cremona label: 585f8 # (-1245/4,1245/8) (519/4,-8205/8) (146605/784,21775655/21952) (146605/784,-25880595/21952) (519/4,7167/8) (-1617689519/11669056,158309516144949/39861495296) (-1617689519/11669056,-152783488748045/39861495296) # # a-invariants: (0, 0, 1, -3, 18) # Cremona label: 585g1 # (-1,4) (-1,-5) (2,4) (2,-5) (8,22) (8,-23) (-3,0) (-3,-1) (41/4,-265/8) (41/4,257/8) (41/25,464/125) (41/25,-589/125) (-76/121,5270/1331) (-76/121,-6601/1331) (582,-14041) (582,14040) (-3853/2809,-736636/148877) (-3853/2809,587759/148877) (32177/13456,6984905/1560896) (32177/13456,-8545801/1560896) (528371/82369,371524460/23639903) (528371/82369,-395164363/23639903) (-998594/342225,-394285321/200201625) (-998594/342225,194083696/200201625) # # a-invariants: (1, -1, 0, -9, 0) # Cremona label: 585h1 # (0,0) (4,-6) (-9/4,-9/8) (-9/4,27/8) (4,2) (-576/625,-33768/15625) (-576/625,48168/15625) (625/64,11725/512) (625/64,-16725/512) (2365444/136161,3066336746/50243409) (2365444/136161,-3939185582/50243409) # # a-invariants: (1, -1, 0, 36, -27) # Cremona label: 585h2 # (3/4,-3/8) (12,-51) (4,11) (12,39) (4,-15) (597/16,-15819/64) (7/4,-57/8) (7/4,43/8) (597/16,13431/64) (2172/1681,266919/68921) (2172/1681,-355971/68921) (5524/81,385019/729) (5524/81,-434735/729) (353761/40000,-278617341/8000000) (353761/40000,207865141/8000000) # # a-invariants: (0, 0, 1, -597, 8820) # Cremona label: 585i1 # (8,67) (8,-68) (-7,112) (-7,-113) (143,-1688) (143,1687) (18,-63) (18,62) (-103/4,-679/8) (-103/4,671/8) (38,-203) (38,202) (35,-176) (35,175) (-27,72) (-27,-73) (932/49,22441/343) (932/49,-22784/343) (1913/16,82093/64) (1913/16,-82157/64) (-2548/289,566231/4913) (-2548/289,-571144/4913) (733/81,-47377/729) (733/81,46648/729) (15803,1986592) (15803,-1986593) (1166/169,-156911/2197) (1166/169,154714/2197) (-20143/3844,-26013379/238328) (-20143/3844,25775051/238328) (146538/841,55575918/24389) (146538/841,-55600307/24389) (3463343/203401,5451756637/91733851) (3463343/203401,-5543490488/91733851) (-5350327/219961,9708104083/103161709) (-5350327/219961,-9811265792/103161709) # # a-invariants: (1, 1, 0, -1, -3) # Cremona label: 586a1 # # # a-invariants: (1, 1, 1, -18, 415) # Cremona label: 586b1 # (-7,-13) (-7,19) (25,115) (25,-141) (1,-21) (1,19) (5,19) (5,-25) (97/9,929/27) (97/9,-1247/27) (-79/25,2791/125) (-79/25,-2521/125) (103,-1103) (103,999) (-1055/121,5369/1331) (-1055/121,4905/1331) (16769/169,-2293777/2197) (16769/169,2073583/2197) (-8015/2601,2957585/132651) (-8015/2601,-2681471/132651) (25523/2401,-5348267/117649) (25523/2401,3979991/117649) (29838163865/101761,5149414699876301/32461759) (29838163865/101761,-5158933106610995/32461759) # # a-invariants: (1, 1, 1, -9, 7) # Cremona label: 586c1 # (1,-2) (1,0) (-1,4) (-1,-4) (5,-14) (5,8) (7/4,-21/8) (7/4,-1/8) (-35/9,56/27) (-35/9,22/27) (199/121,-3156/1331) (199/121,-364/1331) (1049/169,-42080/2197) (1049/169,26246/2197) (-1039/1600,-242179/64000) (-1039/1600,219739/64000) (37129/41209,-17626720/8365427) (37129/41209,1724106/8365427) (1225879/2601,1327732684/132651) (1225879/2601,-1390385164/132651) # # a-invariants: (0, -1, 0, 131, -167) # Cremona label: 588a1 # # # a-invariants: (0, -1, 0, 327, 666) # Cremona label: 588b1 # (-2,0) (47,-343) (5,-49) (5,49) (47,343) (7,-57) (7,57) (325/9,-6517/27) (325/9,6517/27) (-751/400,51793/8000) (2798,-147980) (-751/400,-51793/8000) (2798,147980) (10663/3249,-7777601/185193) (10663/3249,7777601/185193) (356475167/12609601,7972848253993/44776693151) (356475167/12609601,-7972848253993/44776693151) # # a-invariants: (0, -1, 0, -1388, 6840) # Cremona label: 588b2 # (5,0) (194,2646) (-2,-98) (-2,98) (194,-2646) (-22,162) (-22,-162) (54,-294) (54,294) (881/25,2646/125) (-155/4,245/8) (-155/4,-245/8) (881/25,-2646/125) (-10102/361,-1039878/6859) (-10102/361,1039878/6859) (406/9,-4978/27) (406/9,4978/27) (553346/4489,391404258/300763) (553346/4489,-391404258/300763) (-17378/2809,-18325706/148877) (-17378/2809,18325706/148877) (1119249/400,1183788207/8000) (1119249/400,-1183788207/8000) # # a-invariants: (0, -1, 0, -5553, 165894) # Cremona label: 588b3 # (-86,0) (26,196) (1025/16,16807/64) (26,-196) (1025/16,-16807/64) (424714/7569,-109850552/658503) (424714/7569,109850552/658503) (2065/64,-71079/512) (2065/64,71079/512) (-5312242399/66259600,161207739833399/539353144000) (-5312242399/66259600,-161207739833399/539353144000) (22212258137665/1293369405696,-403621335335451293983/1470902463799455744) (22212258137665/1293369405696,403621335335451293983/1470902463799455744) # # a-invariants: (0, -1, 0, -89588, 10350936) # Cremona label: 588b4 # (173,0) (685/4,-343/8) (685/4,343/8) (257,-2058) (257,2058) (2817/16,-4263/64) (125,-1044) (2817/16,4263/64) (125,1044) (-155843/484,-25445455/10648) (-155843/484,25445455/10648) (5931089/34225,9077838/6331625) (5931089/34225,-9077838/6331625) (44266445/667489,1181878655832/545338513) (44266445/667489,-1181878655832/545338513) (84471457/484416,9437747887/337153536) (84471457/484416,-9437747887/337153536) # # a-invariants: (0, -1, 0, -9, -6) # Cremona label: 588c1 # (-2,0) (5,7) (5,-7) (-1,1) (-1,-1) (-11/9,-35/27) (-11/9,35/27) (7,15) (7,-15) (110,-1148) (110,1148) (-31/16,-41/64) (-31/16,41/64) (919/225,-9953/3375) (-1163/1369,-28245/50653) (-1163/1369,28245/50653) (919/225,9953/3375) (-30289/20449,4017103/2924207) (-30289/20449,-4017103/2924207) (2992513/107584,-5051309535/35287552) (2992513/107584,5051309535/35287552) # # a-invariants: (0, -1, 0, -44, 120) # Cremona label: 588c2 # (5,0) (-2,-14) (-2,14) (2,6) (2,-6) (6,6) (26,-126) (26,126) (6,-6) (13/4,7/8) (13/4,-7/8) (-7,-6) (-7,6) (314/25,4662/125) (314/25,-4662/125) (70/9,-370/27) (70/9,370/27) (482/169,-6798/2197) (-578/121,-18746/1331) (-578/121,18746/1331) (482/169,6798/2197) (1761/16,-73431/64) (8741/1681,150444/68921) (8741/1681,-150444/68921) (1761/16,73431/64) (8738/17689,-23306718/2352637) (8738/17689,23306718/2352637) (1612486/308025,-408822434/170953875) (1612486/308025,408822434/170953875) # # a-invariants: (0, 1, 0, 6403, 44463) # Cremona label: 588d1 # # # a-invariants: (0, 1, 0, -457, 2960) # Cremona label: 588e1 # (16,0) # # a-invariants: (0, 1, 0, -2172, -36828) # Cremona label: 588e2 # (-33,0) # # a-invariants: (0, 1, 0, -65, 804) # Cremona label: 588f1 # (-12,0) # # a-invariants: (0, 1, 0, -1780, 28244) # Cremona label: 588f2 # (23,0) # # a-invariants: (1, 0, 1, 156, 176) # Cremona label: 590a1 # (4,-32) (4,27) # # a-invariants: (1, 0, 1, -1909, -36168) # Cremona label: 590a2 # # # a-invariants: (1, -1, 0, 1, 13) # Cremona label: 590b1 # (-2,1) # # a-invariants: (1, -1, 0, -79, 285) # Cremona label: 590b2 # (19/4,-19/8) (6,-3) (-10,5) # # a-invariants: (1, -1, 0, -179, -495) # Cremona label: 590b3 # (-45/4,45/8) # # a-invariants: (1, -1, 0, -1259, 17513) # Cremona label: 590b4 # (83/4,-83/8) (22,-1) (22,-21) # # a-invariants: (1, -1, 0, 1, 5) # Cremona label: 590c1 # (1,-3) (1,2) (-1,2) (-1,-1) (19/4,61/8) (19/4,-99/8) (55/9,310/27) (55/9,-475/27) (-431/529,26539/12167) (-431/529,-16626/12167) (2969/4096,-721507/262144) (2969/4096,531491/262144) (756001/2401,-675072222/117649) (756001/2401,638028173/117649) # # a-invariants: (1, 0, 0, -350, 2500) # Cremona label: 590d1 # (10,-10) (10,0) (0,50) (0,-50) (20,50) (20,-70) (12,2) (12,-14) (-20,-30) (-20,50) (100/9,-50/27) (100/9,-250/27) (40,-250) (40,210) (6,22) (6,-28) (35/4,-125/8) (35/4,55/8) (150,-1900) (150,1750) (520/49,-2850/343) (520/49,-790/343) (-92/9,-1778/27) (-92/9,2054/27) (2380/169,-60150/2197) (2380/169,29210/2197) (7500/529,-340850/12167) (7500/529,168350/12167) (-2860/289,372370/4913) (-2860/289,-323750/4913) (6624/625,-129982/15625) (6624/625,-35618/15625) (19210/121,2541250/1331) (19210/121,-2752560/1331) (45625/5184,-5743225/373248) (45625/5184,2458225/373248) (2125914155/11236,-98133615080605/1191016) (2125914155/11236,97908268180175/1191016) (8592104742/857259841,-2842332745796/25099710884639) (8592104742/857259841,-248725901995222/25099710884639) # # a-invariants: (0, -1, 1, -3, 2) # Cremona label: 591a1 # (0,-2) (0,1) (2,-1) (2,0) (-3/4,-19/8) (-3/4,11/8) (22,-101) (22,100) (60/121,-1729/1331) (60/121,398/1331) (1001/400,-20301/8000) (1001/400,12301/8000) (-12060/8281,-1271369/753571) (-12060/8281,517798/753571) (236782/40401,95935499/8120601) (236782/40401,-104056100/8120601) # # a-invariants: (0, 1, 0, -9, -13) # Cremona label: 592a1 # (-2,1) (-2,-1) (13/4,-13/8) (13/4,13/8) (-986/441,-9001/9261) (-986/441,9001/9261) (197809/2704,-88501295/140608) (197809/2704,88501295/140608) # # a-invariants: (0, 1, 0, -33, -85) # Cremona label: 592b1 # # # a-invariants: (0, 0, 0, -16, -16) # Cremona label: 592c1 # # # a-invariants: (0, 1, 0, -5, -1) # Cremona label: 592d1 # (-1,2) (-1,-2) (2,-1) (2,1) (-17/9,62/27) (-17/9,-62/27) (101/4,1031/8) (101/4,-1031/8) (-481/1225,-44078/42875) (-481/1225,44078/42875) (25546/8649,3480479/804357) (25546/8649,-3480479/804357) # # a-invariants: (0, -1, 0, -53, -131) # Cremona label: 592e1 # (-4,1) (-4,-1) (45/4,-191/8) (45/4,191/8) (-13356/3721,-74945/226981) (-13356/3721,74945/226981) # # a-invariants: (0, -1, 0, -373, 2813) # Cremona label: 592e2 # (4,-37) (4,37) (53/4,-37/8) (53/4,37/8) (-4,-65) (-4,65) (2617/16,-132571/64) (2617/16,132571/64) (38284/4761,-5387237/328509) (38284/4761,5387237/328509) (252589/16900,41305087/2197000) (252589/16900,-41305087/2197000) # # a-invariants: (0, -1, 0, -29973, 2007325) # Cremona label: 592e3 # (100,5) (100,-5) (10029/100,17/1000) (10029/100,-17/1000) (80700/841,-1816165/24389) (80700/841,1816165/24389) (22127281/115600,-70819116479/39304000) (22127281/115600,70819116479/39304000) # # a-invariants: (1, 0, 1, -2, 1) # Cremona label: 593a1 # (1,0) (1,-2) (-5/4,11/8) (-5/4,-9/8) (1/81,440/729) (1/81,-1178/729) (5281/1600,240901/64000) (5281/1600,-516141/64000) # # a-invariants: (1, 0, 0, -7, -30) # Cremona label: 593b1 # (15/4,-15/8) # # a-invariants: (1, 0, 0, -12, -17) # Cremona label: 593b2 # (-2,1) # # a-invariants: (1, -1, 0, -18, 36) # Cremona label: 594a1 # (0,-6) (0,6) (3,-3) (3,0) (4,-6) (4,2) (-3,-6) (-3,9) (24,102) (24,-126) (7/4,-29/8) (7/4,15/8) (120/49,-918/343) (120/49,78/343) (189/25,-2598/125) (189/25,1653/125) (-380/81,1106/729) (-380/81,2314/729) (2403/361,-114312/6859) (2403/361,68655/6859) (12193/7744,-2659237/681472) (12193/7744,1586253/681472) # # a-invariants: (1, -1, 0, -9, -9) # Cremona label: 594b1 # # # a-invariants: (1, -1, 0, -4146, 103796) # Cremona label: 594c1 # (37,-14) (37,-23) # # a-invariants: (1, -1, 0, -3201, 151613) # Cremona label: 594c2 # # # a-invariants: (1, -1, 0, -153, 4909) # Cremona label: 594d1 # (18,79) (18,-97) (-15,68) (-15,-53) (-14/9,1957/27) (-14/9,-1915/27) (51,-383) (51,332) (114,1151) (114,-1265) (175/36,-14627/216) (175/36,13577/216) (-35358/1849,2654573/79507) (-35358/1849,-1134179/79507) (46251/4225,16829129/274625) (46251/4225,-19835444/274625) (1798882/3969,2353206241/250047) (1798882/3969,-2466535807/250047) # # a-invariants: (1, -1, 1, -1379, -131165) # Cremona label: 594e1 # # # a-invariants: (1, -1, 1, -83, 325) # Cremona label: 594f1 # # # a-invariants: (1, -1, 1, -164, -809) # Cremona label: 594g1 # # # a-invariants: (1, -1, 1, -461, -3691) # Cremona label: 594h1 # # # a-invariants: (1, -1, 1, -356, -5497) # Cremona label: 594h2 # (37,157) (37,-195) # # a-invariants: (0, -1, 1, -9996, 388876) # Cremona label: 595a1 # # # a-invariants: (0, -1, 1, 434, -9589) # Cremona label: 595b1 # # # a-invariants: (0, -1, 1, 0, 1) # Cremona label: 595c1 # # # a-invariants: (1, -1, 0, -112, 492) # Cremona label: 598a1 # (-12,6) (14,32) (14,-46) (1,-20) (1,19) (61/9,-7/27) (6,0) (61/9,-176/27) (6,-6) (116/25,-1226/125) (133/16,319/64) (133/16,-851/64) (116/25,646/125) (-59/9,904/27) (-59/9,-727/27) (2454/49,109542/343) (2454/49,-126720/343) (-8914/1369,1695776/50653) (14329/289,-1787740/4913) (14329/289,1544147/4913) (-8914/1369,-1365958/50653) (602761/129600,-456005089/46656000) (602761/129600,239011129/46656000) # # a-invariants: (1, -1, 0, -1802, 29898) # Cremona label: 598a2 # (99/4,-99/8) (217/9,-475/27) (27,-33) (27,6) (217/9,-176/27) (223/9,-331/27) (-27,-228) (223/9,-338/27) (-27,255) (5719/324,-389341/5832) (9981/400,-113031/8000) (5719/324,286399/5832) (9981/400,-86589/8000) (24487/441,2652707/9261) (24487/441,-3166934/9261) (21787947/395641,-83716195866/248858189) (21787947/395641,70011577203/248858189) # # a-invariants: (1, -1, 0, 44, 496) # Cremona label: 598b1 # (-5,14) (-5,-9) (41,-285) (41,244) (3/4,-187/8) (3/4,181/8) (9,-44) (9,35) (491/49,-16542/343) (491/49,13105/343) (193/1024,-738927/32768) (193/1024,732751/32768) (52699/1089,11274478/35937) (52699/1089,-13013545/35937) (16382291/2500,65894075261/125000) (16382291/2500,-66713189811/125000) # # a-invariants: (1, 1, 1, -14, -27) # Cremona label: 598c1 # # # a-invariants: (1, 1, 1, 4, -1443) # Cremona label: 598d1 # (21,-103) (21,81) (13,-39) (13,25) (205,2841) (205,-3047) (45,-327) (45,281) (97/9,-205/27) (97/9,-113/27) (51,341) (51,-393) (4021/25,-266059/125) (4021/25,245829/125) (4501/361,-233517/6859) (4501/361,141139/6859) (134997/5929,42698445/456533) (134997/5929,-53549747/456533) (111685/9,37158691/27) (111685/9,-37493773/27) # # a-invariants: (0, -1, 0, -383, 3012) # Cremona label: 600a1 # (7,-25) (12,0) (7,25) (-13,75) (53/4,75/8) (32,150) (32,-150) (11,-3) (11,3) (-13,-75) (53/4,-75/8) (217/16,725/64) (217/16,-725/64) (28,-116) (543/49,825/343) (-137/9,-1925/27) (543/49,-825/343) (28,116) (-137/9,1925/27) (1787/289,142557/4913) (12947/1681,-1477725/68921) (1787/289,-142557/4913) (41792/3481,78150/205379) (41792/3481,-78150/205379) (12947/1681,1477725/68921) (17453/4,2305425/8) (17453/4,-2305425/8) (699249/53824,-96853911/12487168) (699249/53824,96853911/12487168) (1985932/53361,-2431829800/12326391) (1985932/53361,2431829800/12326391) (7846054169884/652577999329,-407650272957876764/527167517151950767) (7846054169884/652577999329,407650272957876764/527167517151950767) # # a-invariants: (0, -1, 0, -508, 1012) # Cremona label: 600a2 # (2,0) (22,0) (-23,0) (102,1000) (-14,72) (-14,-72) (-3,50) (102,-1000) (133/4,-1125/8) (133/4,1125/8) (-3,-50) (-1343/841,1039500/24389) (473/16,6699/64) (-7118/441,-638000/9261) (17062/121,2192400/1331) (-7118/441,638000/9261) (-1343/841,-1039500/24389) (17062/121,-2192400/1331) (473/16,-6699/64) (29830662/1343281,21425083000/1556862679) (60753973/13924,-473485255875/1643032) (915922/485809,2565108072/338608873) (29830662/1343281,-21425083000/1556862679) (915922/485809,-2565108072/338608873) (60753973/13924,473485255875/1643032) (109738200289/2872102464,29172808083141199/153921715250688) (109738200289/2872102464,-29172808083141199/153921715250688) # # a-invariants: (0, -1, 0, -5008, -133988) # Cremona label: 600a3 # (-38,0) (82,0) (-43,0) (-5078/121,30000/1331) (453/4,-6875/8) (562,-13200) (-39,-22) (453/4,6875/8) (562,13200) (-5078/121,-30000/1331) (-39,22) (-14737883/370881,5933372500/225866529) (287633/1936,-131397231/85184) (-14737883/370881,-5933372500/225866529) (287633/1936,131397231/85184) (81613535160933/18703844644,-737116321831581333125/2557975201202728) (81613535160933/18703844644,737116321831581333125/2557975201202728) # # a-invariants: (0, -1, 0, 1992, 6012) # Cremona label: 600a4 # (-3,0) (2,100) (402,8100) (2,-100) (402,-8100) (97,1050) (69/4,-1701/8) (97,-1050) (69/4,1701/8) (135042/3721,-80181900/226981) (17522/361,-3178100/6859) (17522/361,3178100/6859) (135042/3721,80181900/226981) (80593/7056,102871439/592704) (13983117/101761,54854018100/32461759) (13983117/101761,-54854018100/32461759) (80593/7056,-102871439/592704) (29514051358053/6764404516,-160330523428596133179/556345213822936) (29514051358053/6764404516,160330523428596133179/556345213822936) # # a-invariants: (0, -1, 0, -80008, -8683988) # Cremona label: 600a5 # (-163,0) (2373/4,98725/8) (-19719/121,-718/1331) (2373/4,-98725/8) (-19719/121,718/1331) # # a-invariants: (0, -1, 0, -2008, -295988) # Cremona label: 600a6 # (77,0) (52893/484,9390625/10648) (52893/484,-9390625/10648) (561,-13222) (561,13222) # # a-invariants: (0, -1, 0, 7, -3) # Cremona label: 600b1 # (1,-2) (1,2) (3,6) (3,-6) (13,46) (13,-46) (4/9,-1/27) (4/9,1/27) (301/25,-5126/125) (301/25,5126/125) (1659/529,76914/12167) (1659/529,-76914/12167) (294853/36,160096499/216) (294853/36,-160096499/216) # # a-invariants: (0, -1, 0, 32, -68) # Cremona label: 600c1 # (2,0) # # a-invariants: (0, -1, 0, -168, -468) # Cremona label: 600c2 # (-3,0) # # a-invariants: (0, 1, 0, 17, 38) # Cremona label: 600d1 # (-2,0) # # a-invariants: (0, 1, 0, -108, 288) # Cremona label: 600d2 # (8,0) (3,0) (-12,0) # # a-invariants: (0, 1, 0, -608, -5712) # Cremona label: 600d3 # (28,0) (-17,0) (-12,0) # # a-invariants: (0, 1, 0, -1608, 24288) # Cremona label: 600d4 # (23,0) # # a-invariants: (0, 1, 0, -9608, -365712) # Cremona label: 600d5 # (-57,0) # # a-invariants: (0, 1, 0, 392, -21712) # Cremona label: 600d6 # (23,0) # # a-invariants: (0, 1, 0, -233, 1563) # Cremona label: 600e1 # (43,-270) (43,270) (13,30) (13,-30) (7,18) (7,-18) (-2,45) (-2,-45) (-17,-30) (-17,30) (-11,-54) (-11,54) (3,30) (3,-30) (37/4,-135/8) (37/4,135/8) (19,66) (19,-66) (133,1530) (133,-1530) (223,-3330) (223,3330) (22,-87) (22,87) (487/49,-6210/343) (487/49,6210/343) (37/9,710/27) (37/9,-710/27) (-221/25,-6858/125) (-221/25,6858/125) (-287/16,1095/64) (-287/16,-1095/64) (-653/169,108090/2197) (-653/169,-108090/2197) (757/121,26262/1331) (757/121,-26262/1331) (4303/361,170970/6859) (4303/361,-170970/6859) (9862/289,-912735/4913) (9862/289,912735/4913) (2559,-129474) (2559,129474) (76957/1369,-20839410/50653) (76957/1369,20839410/50653) (64267/4489,-11118390/300763) (64267/4489,11118390/300763) (25861/3364,-3295143/195112) (25861/3364,3295143/195112) (-404267/25921,169342230/4173281) (-404267/25921,-169342230/4173281) (78622/45369,330182785/9663597) (78622/45369,-330182785/9663597) (18244807/2122849,-50746106610/3092990993) (18244807/2122849,50746106610/3092990993) (167347963/6436369,-1915287616734/16329068153) (167347963/6436369,1915287616734/16329068153) # # a-invariants: (0, -1, 0, 92, -188) # Cremona label: 600f1 # (2,0) (12,-50) (12,50) # # a-invariants: (0, -1, 0, -408, -1188) # Cremona label: 600f2 # (22,0) (-3,0) (-18,0) # # a-invariants: (0, -1, 0, -5408, -151188) # Cremona label: 600f3 # (-43,0) # # a-invariants: (0, -1, 0, -3408, 76812) # Cremona label: 600f4 # (37,0) # # a-invariants: (0, -1, 0, -5833, 207037) # Cremona label: 600g1 # # # a-invariants: (0, 1, 0, 792, -6912) # Cremona label: 600h1 # (8,0) # # a-invariants: (0, 1, 0, -4208, -66912) # Cremona label: 600h2 # (-17,0) # # a-invariants: (0, 1, 0, 167, -37) # Cremona label: 600i1 # # # a-invariants: (1, -1, 0, 121, -4291) # Cremona label: 602a1 # (14,-7) # # a-invariants: (1, -1, 0, -3319, -69651) # Cremona label: 602a2 # (-109/4,109/8) # # a-invariants: (1, 1, 0, -22564, 1295312) # Cremona label: 602b1 # # # a-invariants: (1, -1, 0, -1, -1) # Cremona label: 602c1 # # # a-invariants: (1, -1, 0, -3, 0) # Cremona label: 603a1 # (0,0) # # a-invariants: (1, -1, 0, 12, -9) # Cremona label: 603a2 # (3/4,-3/8) # # a-invariants: (1, -1, 1, -29, 28) # Cremona label: 603b1 # (1,-1) # # a-invariants: (1, -1, 1, 106, 136) # Cremona label: 603b2 # (-5/4,1/8) # # a-invariants: (1, -1, 1, -7151, -230952) # Cremona label: 603c1 # # # a-invariants: (0, 0, 1, 15, -23) # Cremona label: 603d1 # # # a-invariants: (1, -1, 0, -9, -54) # Cremona label: 603e1 # (6,-12) (6,6) (55/4,-437/8) (55/4,327/8) (33270/961,5459604/29791) (33270/961,-6490974/29791) # # a-invariants: (0, 0, 1, -111, 450) # Cremona label: 603f1 # (5,-5) (5,4) (6,-1) (6,0) (14,40) (14,-41) (-3,27) (-3,-28) (401/64,-697/512) (401/64,185/512) (541/81,1540/729) (541/81,-2269/729) (-3010/289,-109705/4913) (-3010/289,104792/4913) (25206/3025,1612521/166375) (25206/3025,-1778896/166375) (1802481/614656,5660202185/481890304) (1802481/614656,-6142092489/481890304) # # a-invariants: (1, -1, 0, -1414, -44027) # Cremona label: 605a1 # (212,-3131) (212,2919) (243/4,-2663/8) (243/4,2177/8) (52,-171) (52,119) (33097/256,-5942701/4096) (33097/256,5413149/4096) (122676/49,-43385455/343) (122676/49,42526723/343) (1405643/3364,1616994253/195112) (1405643/3364,-1698521547/195112) # # a-invariants: (1, -1, 1, 98, -316) # Cremona label: 605b1 # (3,-2) (14,53) (14,-68) (3239/361,-274748/6859) (84/25,563/125) (3052/9,163901/27) (4559/196,293173/2744) (4559/196,-359743/2744) (3239/361,206348/6859) (3052/9,-173084/27) (84/25,-1108/125) (25567216833/5706895936,-7284380139405923/431121746589184) (25567216833/5706895936,4921808564384587/431121746589184) # # a-invariants: (1, -1, 1, -507, -2494) # Cremona label: 605b2 # (25,-13) (-21/4,17/8) (-19,9) (26,-51) (1356,-50591) (-464/25,3094/125) (-464/25,-899/125) (-50/9,364/27) (1356,49234) (26,24) (-50/9,-241/27) (-1396339/80656,859112061/22906304) (-1396339/80656,-485458089/22906304) (76381/225,-21613549/3375) (76381/225,20464459/3375) (2068375/70756,1294607287/18821096) (2068375/70756,-1863616133/18821096) # # a-invariants: (1, -1, 1, -7162, -231426) # Cremona label: 605b3 # (-197/4,193/8) (102,251) (102,-354) (-48,26) (-48,21) (-11051/225,65102/3375) (-11051/225,97288/3375) (1357,-50554) (1357,49196) (5471795911/15920100,379699618565189/63521199000) (5471795911/15920100,-401595605449079/63521199000) # # a-invariants: (1, -1, 1, -3532, 79786) # Cremona label: 605b4 # (155/4,-159/8) (16/9,-7358/27) (14,-189) (16/9,7283/27) (14,174) (33911/25,6152226/125) (355/9,-1256/27) (33911/25,-6321906/125) (355/9,164/27) (6191214061/18147600,-492882799691021/77308776000) (6191214061/18147600,466430919015161/77308776000) # # a-invariants: (1, -1, 1, -12, 36) # Cremona label: 605c1 # (6,9) (6,-16) (1,4) (1,-6) (-4,-1) (-4,4) (-1/4,-53/8) (-1/4,47/8) (4,-9) (4,4) (81,-766) (81,684) (94/9,-997/27) (94/9,688/27) (129/64,1413/512) (129/64,-2957/512) (-866/289,34817/4913) (-866/289,-25008/4913) (-295/169,16154/2197) (-295/169,-14516/2197) (16724/5929,1184147/456533) (16724/5929,-2928428/456533) (69079/3364,-19707357/195112) (69079/3364,15505663/195112) (-156754391/48888064,2324245215267/341825343488) (-156754391/48888064,-1570043856883/341825343488) # # a-invariants: (1, 0, 1, 35, -136) # Cremona label: 606a1 # (3,-2) # # a-invariants: (1, 0, 1, -285, -1544) # Cremona label: 606a2 # (19,-10) (-25/4,21/8) (-13,6) # # a-invariants: (1, 0, 1, -4325, -109816) # Cremona label: 606a3 # (-153/4,149/8) # # a-invariants: (1, 0, 1, -1365, 17896) # Cremona label: 606a4 # (103/4,-107/8) # # a-invariants: (1, 0, 1, 4, 2) # Cremona label: 606b1 # (0,-2) (0,1) (2,-6) (2,3) (27/4,-181/8) (27/4,119/8) (-38/81,-413/729) (-38/81,26/729) (5400/361,-458918/6859) (5400/361,349459/6859) (44441/40000,-32350089/8000000) (44441/40000,15461889/8000000) # # a-invariants: (1, 1, 1, -33, -87) # Cremona label: 606c1 # # # a-invariants: (1, 1, 1, -1314, -65361) # Cremona label: 606d1 # # # a-invariants: (1, 0, 0, -120, 576) # Cremona label: 606e1 # (0,-24) (0,24) (6,-12) (6,6) (24,-120) (24,96) (-12,-12) (-12,24) (12,-36) (12,24) (8,-16) (8,8) (-6,36) (-6,-30) (96,888) (96,-984) (15/4,93/8) (15/4,-123/8) (96/25,-1896/125) (96/25,1416/125) (90,-894) (90,804) (-56/9,976/27) (-56/9,-808/27) (396/49,2820/343) (396/49,-5592/343) (1428/121,30684/1331) (1428/121,-46392/1331) (-3432/289,-64248/4913) (-3432/289,122592/4913) (4182/169,-276834/2197) (4182/169,222468/2197) (9984/1681,417960/68921) (9984/1681,-827304/68921) (41/256,-96979/4096) (41/256,96323/4096) (88320,26203416) (88320,-26291736) (-2154/13225,-36991326/1520875) (-2154/13225,37239036/1520875) # # a-invariants: (1, 0, 0, -90, 324) # Cremona label: 606f1 # (0,-18) (6,-6) (0,18) (6,0) # # a-invariants: (1, 0, 0, 600, -10626) # Cremona label: 606f2 # # # a-invariants: (0, 0, 0, -8, -16) # Cremona label: 608a1 # (4,4) (4,-4) (17,-69) (17,69) (1780/169,-71804/2197) (1780/169,71804/2197) (90385/19044,19121849/2628072) (90385/19044,-19121849/2628072) # # a-invariants: (0, 0, 0, -56, 4848) # Cremona label: 608b1 # # # a-invariants: (0, 0, 0, 5, 2) # Cremona label: 608c1 # # # a-invariants: (0, 0, 0, -8, 16) # Cremona label: 608d1 # (0,4) (0,-4) (1,3) (1,-3) (48,-332) (48,332) (-47/36,1063/216) (-47/36,-1063/216) (3984/2209,283156/103823) (3984/2209,-283156/103823) (-8469984/3150625,23777382436/5592359375) (-8469984/3150625,-23777382436/5592359375) (339522165984/61131079009,-180674567708316956/15114475891738223) (339522165984/61131079009,180674567708316956/15114475891738223) # # a-invariants: (0, 0, 0, -56, -4848) # Cremona label: 608e1 # (128,-1444) (128,1444) (33,171) (33,-171) (464/25,-2812/125) (464/25,2812/125) (7177/324,-403237/5832) (7177/324,403237/5832) (19568/361,2668676/6859) (19568/361,-2668676/6859) (14881929/34225,-57399975783/6331625) (14881929/34225,57399975783/6331625) # # a-invariants: (0, 0, 0, 5, -2) # Cremona label: 608f1 # (1,-2) (1,2) (2,4) (2,-4) (33,190) (33,-190) (33/64,-433/512) (33/64,433/512) (4001/961,284162/29791) (4001/961,-284162/29791) (73474/9025,20617868/857375) (73474/9025,-20617868/857375) (1689601/4322241,1073710142/8985939039) (1689601/4322241,-1073710142/8985939039) # # a-invariants: (1, 1, 0, 0, 3) # Cremona label: 609a1 # (-2,1) (-1/4,15/8) (-1/4,-13/8) (2,3) (2,-5) (-47/64,-739/512) (-47/64,1115/512) (286/81,-7055/729) (286/81,4481/729) (-57406/30625,9833853/5359375) (206687/3844,-101459947/238328) (206687/3844,88645353/238328) (-57406/30625,212197/5359375) # # a-invariants: (1, 1, 0, -35, 66) # Cremona label: 609a2 # (11/4,-11/8) (10,24) (2,2) (10,-34) (2,-4) (-43/16,869/64) (15/4,-33/8) (15/4,3/8) (-43/16,-697/64) (2074/625,-32218/15625) (-334/49,-1156/343) (2074/625,-19632/15625) (-334/49,3494/343) (24865/5184,-3172573/373248) (24865/5184,1382293/373248) (6344565711/117722500,473856972095991/1277289125000) (6344565711/117722500,-542695510060341/1277289125000) # # a-invariants: (1, 1, 1, -784, 8720) # Cremona label: 609b1 # (-33,16) (16,16) (16,-33) (211/4,-2959/8) (-5,-110) (-5,114) (30,100) (30,-131) (211/4,2529/8) (46/9,-1969/27) (46/9,1804/27) (-656/25,15312/125) (14239/1089,839984/35937) (-656/25,-12157/125) (54448/169,-13038293/2197) (19569/1024,-1456537/32768) (19569/1024,797561/32768) (14239/1089,-1345808/35937) (54448/169,12328272/2197) (39224110/281961,231672185855/149721291) (39224110/281961,-252649909556/149721291) (21842515/1976836,-126690256065/2779431416) (21842515/1976836,93200248559/2779431416) (-26218468554143/2166972420096,428840484932796299249/3189922088616198144) (-26218468554143/2166972420096,-393435143327726536241/3189922088616198144) # # a-invariants: (1, 1, 1, -12789, 551346) # Cremona label: 609b2 # (72,-138) (65,-33) (58,-124) (58,65) (259/4,-263/8) (-131,65) (72,65) (10936/169,-68875/2197) (-104,-826) (1626/25,-3939/125) (613/9,299/27) (323/4,1521/8) (6073/121,-297155/1331) (15793/256,-309265/4096) (613/9,-2165/27) (-104,929) (6073/121,229021/1331) (1290,45537) (1626/25,-4316/125) (15793/256,52481/4096) (1290,-46828) (323/4,-2175/8) (10936/169,-75490/2197) (72690865/1115136,-43660312313/1177583616) (-92463341/1943236,-2719211731535/2708870984) (1389761/4225,1509931071/274625) (72690865/1115136,-34278824743/1177583616) (1389761/4225,-1600540161/274625) (-92463341/1943236,2845396757905/2708870984) # # a-invariants: (1, 1, 1, -13034, 528806) # Cremona label: 609b3 # (79,-40) (-525/4,521/8) (51,-26) (50,47) (5154,-372545) (2004/25,-15643/125) (2004/25,5498/125) (-124,569) (5154,367390) (-124,-446) (50,-98) (32251/25,5691934/125) (32251/25,-5853314/125) (3019/36,-49205/216) (1452201/30976,706346909/5451776) (-17625/169,-1811096/2197) (3019/36,30875/216) (1452201/30976,-967386061/5451776) (-17625/169,2038024/2197) (-114589564/1485961,-1815895555549/1811386459) (-114589564/1485961,1953768847606/1811386459) (1550647203121/4711449600,-1883511693870696551/323393900544000) (1550647203121/4711449600,1776751875947927111/323393900544000) # # a-invariants: (1, 1, 1, -204624, 35542050) # Cremona label: 609b4 # (1043/4,-1047/8) (261,-124) (261,-138) (600889/2304,-14639333/110592) (1101669/4225,-35942252/274625) (1317,-45964) (1101669/4225,-35940858/274625) (600889/2304,-14313931/110592) (126779/484,-1754877/10648) (1317,44646) (126779/484,-1044909/10648) (3385508535971/8210172100,-3602594756328692799/743923693981000) (3385508535971/8210172100,3295089904190379489/743923693981000) # # a-invariants: (1, 1, 1, -42469, -2756140) # Cremona label: 609b5 # (-637/4,633/8) (128879/25,-46557627/125) (-153,-359) (-153,511) (128879/25,45913107/125) (-714090607/5234944,-7842743472543/11977551872) (1165411/900,-1259376449/27000) (-714090607/5234944,9464605229487/11977551872) (1165411/900,1224387119/27000) # # a-invariants: (1, 1, 1, 12481, 2376092) # Cremona label: 609b6 # (-413/4,409/8) (78,-1997) (3516/25,320399/125) (3516/25,-338104/125) (78,1918) (5153,-372617) (-2371/25,79873/125) (5153,367463) (-2371/25,-68143/125) (34476/1225,-71733304/42875) (34476/1225,70483769/42875) (995817601/774400,31137160810409/681472000) (995817601/774400,-32014161771289/681472000) (-434573/6084,-486961769/474552) (-434573/6084,520383911/474552) # # a-invariants: (1, -1, 0, -35, -75) # Cremona label: 610a1 # # # a-invariants: (1, -1, 0, -164, 848) # Cremona label: 610b1 # (8,-4) (7,-1) (-8,-36) (7,-6) (-8,44) (88/9,-412/27) (88/9,148/27) (17,-61) (17,44) (136/25,-1556/125) (7/4,183/8) (7/4,-197/8) (136/25,876/125) (3697/441,-10121/9261) (3697/441,-67516/9261) (8408/169,687068/2197) (8408/169,-796372/2197) (608632/83521,-82747684/24137569) (608632/83521,-93146964/24137569) (-53753/3721,99819/226981) (-53753/3721,3179114/226981) (10330888/136161,-34500795076/50243409) (4756961/577600,-818544739/438976000) (10330888/136161,30688697404/50243409) (4756961/577600,-2796745621/438976000) # # a-invariants: (1, -1, 0, -244, 0) # Cremona label: 610b2 # (-61/4,61/8) (16,-8) (0,0) (61,427) (244/9,-3416/27) (-9,-33) (-9,42) (-4,32) (-4,-28) (61,-488) (244/9,2684/27) (-2196/169,78324/2197) (-61/49,6161/343) (-61/49,-5734/343) (-2196/169,-49776/2197) (169/9,-1391/27) (169/9,884/27) (196,2632) (196,-2828) (-81/100,14427/1000) (24400/81,3691720/729) (102541/5776,10171567/438976) (-81/100,-13617/1000) (102541/5776,-17964683/438976) (-23104/1681,2183632/68921) (24400/81,-3911320/729) (-23104/1681,-1236368/68921) (3118756/101761,4162228888/32461759) (3736489/74529,6295989764/20346417) (3736489/74529,-7316051261/20346417) (3118756/101761,-5157112052/32461759) (-4711037769/310781641,77508570694938/5478769549189) (-4711037769/310781641,5542314134763/5478769549189) (5985660726721/78646593600,13419306200350178011/22055650709184000) (5985660726721/78646593600,-15097924894551815251/22055650709184000) # # a-invariants: (1, -1, 0, -2744, -54500) # Cremona label: 610b3 # (-125/4,125/8) (-266/9,704/27) (106,862) (-266/9,94/27) (106,-968) (649/9,8329/27) (649/9,-10276/27) (-29,7) (-29,22) (1204,-42326) (-2516/81,15958/729) (-2516/81,6686/729) (1204,41122) (-250409/8281,2491117/753571) (-250409/8281,20296102/753571) (1789/9,69889/27) (1789/9,-75256/27) (141754525/467856,1610040332845/320013504) (-5136161/168100,309323267/68921000) (141754525/467856,-1707000427945/320013504) (-5136161/168100,1796502743/68921000) (491320293949/7584145569,-147521604380193779/660480485167503) (491320293949/7584145569,104733993941057216/660480485167503) # # a-invariants: (1, -1, 0, 976, -732) # Cremona label: 610b4 # (32,234) (3/4,-3/8) (32,-266) (782,-22266) (2,34) (57,-516) (163/9,3818/27) (2,-36) (782,21484) (163/9,-4307/27) (57,459) (95162/841,28973276/24389) (9543/49,908937/343) (1142/121,121754/1331) (95162/841,-31732974/24389) (1142/121,-134316/1331) (9543/49,-975738/343) (8797/1521,-4399979/59319) (8797/1521,4056896/59319) (38922717/9709456,-1780879796211/30254664896) (2433439/8100,3702237283/729000) (38922717/9709456,1659596610039/30254664896) (2433439/8100,-3921246793/729000) # # a-invariants: (1, 1, 1, -5, -5) # Cremona label: 610c1 # (-1,0) # # a-invariants: (1, 1, 1, 15, -13) # Cremona label: 610c2 # (3/4,-7/8) # # a-invariants: (0, 0, 1, -1, 1) # Cremona label: 611a1 # # # a-invariants: (0, 0, 0, -456, 3748) # Cremona label: 612a1 # (12,2) (12,-2) # # a-invariants: (0, 0, 0, -216, 7668) # Cremona label: 612a2 # # # a-invariants: (0, 0, 0, -24, -284) # Cremona label: 612b1 # (12,34) (12,-34) (80,714) (29,153) (80,-714) (8,-6) (8,6) (29,-153) (313/36,2771/216) (313/36,-2771/216) (180,-2414) (180,2414) (996/49,-29954/343) (996/49,29954/343) (18413/1849,1713663/79507) (18413/1849,-1713663/79507) (449024/625,-300880518/15625) (449024/625,300880518/15625) (65732796/1456849,-528953565454/1758416743) (65732796/1456849,528953565454/1758416743) # # a-invariants: (0, 0, 0, -4104, -101196) # Cremona label: 612b2 # (93,567) (93,-567) (326377/1764,-173328821/74088) (326377/1764,173328821/74088) # # a-invariants: (0, 0, 0, -48, 196) # Cremona label: 612c1 # (-4,-18) (-4,18) (8,-18) (8,18) (5,9) (5,-9) (0,14) (0,-14) (68,-558) (68,558) (-31/4,-81/8) (-31/4,81/8) (404/25,7542/125) (404/25,-7542/125) (144/49,-3074/343) (144/49,3074/343) (797/289,45189/4913) (797/289,-45189/4913) (16760/961,-2034414/29791) (16760/961,2034414/29791) (75313/1296,-20531287/46656) (75313/1296,20531287/46656) (-504534672/115756081,-22362506198402/1245419675479) (-504534672/115756081,22362506198402/1245419675479) # # a-invariants: (0, 0, 0, -14592, 679412) # Cremona label: 612d1 # # # a-invariants: (1, -1, 1, -61, 197) # Cremona label: 614a1 # (5,-2) (5,-4) (3,4) (3,-8) (-1,-16) (-1,16) (43/9,-68/27) (43/9,-88/27) (29,134) (29,-164) (93/16,-479/64) (93/16,43/64) (725/169,-9524/2197) (725/169,-2098/2197) (-1709/225,-33556/3375) (-1709/225,55816/3375) (1310429/137641,-1310442694/51064811) (1310429/137641,773208724/51064811) (20271313/4359744,-21130174963/9103145472) (20271313/4359744,-30299472053/9103145472) # # a-invariants: (1, 0, 0, 27, 1) # Cremona label: 614b1 # (2,-9) (2,7) (10,31) (0,1) (18,71) (18,-89) (0,-1) (10,-41) (86/25,-1681/125) (182,2367) (82/81,-4337/729) (82/81,3599/729) (86/25,1251/125) (182,-2549) (65970/1681,15793199/68921) (65970/1681,-18497969/68921) (2458/8281,-2380379/753571) (11160/1849,1336123/79507) (2458/8281,2156701/753571) (11160/1849,-1816003/79507) (6995197/1245456,-29446038233/1389928896) (6995197/1245456,21639398381/1389928896) # # a-invariants: (1, 0, 0, -373, -2991) # Cremona label: 614b2 # (96,873) (96,-969) (250/9,-2831/27) (250/9,2081/27) (24,-57) (24,33) (8605/144,699599/1728) (8605/144,-802859/1728) (359304/289,212315319/4913) (359304/289,-218423487/4913) (369466/2025,-231725521/91125) (369466/2025,215099551/91125) (1070140325136/25738747489,871995663321796551/4129344475902737) (1070140325136/25738747489,-1043681486104340439/4129344475902737) # # a-invariants: (1, 1, 1, -6, -6) # Cremona label: 615a1 # (-1,0) (4,-10) (-2,-1) (-2,2) (4,5) (-9/4,15/8) (3,2) (3,-6) (-9/4,-5/8) (124,1325) (-26/25,-53/125) (-26/25,58/125) (124,-1450) (377/64,-9177/512) (377/64,5649/512) (-761/441,17480/9261) (-761/441,-10760/9261) (36364/14641,285830/1771561) (36364/14641,-6457435/1771561) (1051539/34225,-1197256958/6331625) (1051539/34225,996390618/6331625) # # a-invariants: (1, 1, 1, 19, -16) # Cremona label: 615a2 # (3/4,-7/8) (11,35) (3,7) (11,-47) (3,-11) (7/4,31/8) (381/16,-8543/64) (381/16,6955/64) (7/4,-53/8) (3099/25,-181303/125) (1283/1369,-155867/50653) (1283/1369,57743/50653) (3099/25,165683/125) (145777/28224,61265149/4741632) (145777/28224,-90497317/4741632) # # a-invariants: (0, 1, 1, 79, -214) # Cremona label: 615b1 # (22,-113) (22,112) (4,13) (4,-14) (13/4,71/8) (13/4,-79/8) (16,-74) (16,73) (922,-28013) (922,28012) (505/16,-11957/64) (505/16,11893/64) (1458/289,-92869/4913) (1458/289,87956/4913) (6616/2401,-729023/117649) (6616/2401,611374/117649) (724995601/112360000,-29921273597849/1191016000000) (724995601/112360000,28730257597849/1191016000000) # # a-invariants: (0, 0, 0, 85, 86) # Cremona label: 616a1 # (-1,0) (10,44) (7,32) (10,-44) (7,-32) (5623/9,-421696/27) (-55/64,-1797/512) (5623/9,421696/27) (-55/64,1797/512) # # a-invariants: (0, 0, 0, -355, 702) # Cremona label: 616a2 # (2,0) (-311/16,1029/64) (18,12) (-311/16,-1029/64) (18,-12) (359953/576,-215859833/13824) (359953/576,215859833/13824) # # a-invariants: (0, -1, 0, 3828, 95348) # Cremona label: 616b1 # (-22,0) # # a-invariants: (0, -1, 0, -22792, 936540) # Cremona label: 616b2 # (45,0) # # a-invariants: (0, 1, 0, -12, -32) # Cremona label: 616c1 # (4,0) # # a-invariants: (0, 1, 0, -232, -1440) # Cremona label: 616c2 # (-9,0) # # a-invariants: (0, -1, 0, -1, 197) # Cremona label: 616d1 # (29,154) (29,-154) (7,-22) (7,22) (1,14) (1,-14) (-4,11) (-4,-11) (-47/9,154/27) (-47/9,-154/27) (-1,14) (-1,-14) (109/25,-2002/125) (109/25,2002/125) (61/4,-473/8) (61/4,473/8) (197,-2758) (197,2758) (679/9,-17578/27) (679/9,17578/27) (4001/361,258874/6859) (4001/361,-258874/6859) (148/49,4999/343) (148/49,-4999/343) (-9959/4489,4072838/300763) (-9959/4489,-4072838/300763) (-23401/4225,-383482/274625) (-23401/4225,383482/274625) (-28811/9801,-12497534/970299) (-28811/9801,12497534/970299) (66233/29584,-72135899/5088448) (66233/29584,72135899/5088448) (109431076/5745609,1129337579843/13772224773) (109431076/5745609,-1129337579843/13772224773) (-240585401/1020099721,-457489542986806/32580964989019) (-240585401/1020099721,457489542986806/32580964989019) # # a-invariants: (0, 0, 0, -26, -51) # Cremona label: 616e1 # (-3,0) (-26/9,1/27) (6,3) (-26/9,-1/27) (6,-3) (-4791/1600,-4677/64000) (-4791/1600,4677/64000) (1573/9,-62360/27) (1573/9,62360/27) (-66726266/23011209,-11466504161/110384769573) (16089126/2307361,36211205043/3504881359) (-66726266/23011209,11466504161/110384769573) (16089126/2307361,-36211205043/3504881359) # # a-invariants: (0, 0, 0, -31, -30) # Cremona label: 616e2 # (-5,0) (6,0) (-1,0) (-3,-6) (13,-42) (-3,6) (-23/9,-154/27) (13,42) (17,66) (-23/9,154/27) (17,-66) (-79/16,105/64) (-26/25,132/125) (55/9,80/27) (699,18480) (-79/16,-105/64) (-26/25,-132/125) (55/9,-80/27) (699,-18480) (22573/961,-3290742/29791) (-3603/1681,355446/68921) (22573/961,3290742/29791) (-3603/1681,-355446/68921) (-47303/13689,9590966/1601613) (-47303/13689,-9590966/1601613) (24977/2401,-3271554/117649) (24977/2401,3271554/117649) (2516881/14400,3990913721/1728000) (2516881/14400,-3990913721/1728000) (-2934481/2531281,8428328160/4027268071) (-2934481/2531281,-8428328160/4027268071) (375554155797655/53095166209449,-3956976787945425721840/386885521193918089707) (375554155797655/53095166209449,3956976787945425721840/386885521193918089707) # # a-invariants: (0, 0, 0, -251, 1510) # Cremona label: 616e3 # (3,28) (10,0) (3,-28) (33/4,-7/8) (139/9,-980/27) (19,60) (-18,14) (19,-60) (-18,-14) (33/4,7/8) (139/9,980/27) (11185/16,-1182615/64) (8907/1849,1615124/79507) (11185/16,1182615/64) (2266/225,-6436/3375) (747/1369,-1877036/50653) (2266/225,6436/3375) (747/1369,1877036/50653) (8907/1849,-1615124/79507) (329319259/13155129,4984770698740/47713652883) (329319259/13155129,-4984770698740/47713652883) (53515939/4036081,183660906780/8108486729) (53515939/4036081,-183660906780/8108486729) # # a-invariants: (0, 0, 0, 109, -226) # Cremona label: 616e4 # (2,0) (11,-48) (139/9,-1936/27) (139/9,1936/27) (11,48) (313/144,7955/1728) (17474/25,-2310132/125) (17474/25,2310132/125) (313/144,-7955/1728) (36098171/1615441,-237390321168/2053225511) (261202939/32867289,-6368130975536/188428167837) (261202939/32867289,6368130975536/188428167837) (36098171/1615441,237390321168/2053225511) (6365126974561/36450446400,16087043553759582191/6959119226688000) (6365126974561/36450446400,-16087043553759582191/6959119226688000) # # a-invariants: (1, 1, 0, 2, 4) # Cremona label: 618a1 # (0,2) (0,-2) (-1,2) (-1,-1) (12,-50) (12,38) (13/9,76/27) (13/9,-115/27) (-264/169,974/2197) (-264/169,2458/2197) (1235/484,-75541/10648) (1235/484,48371/10648) (50424/9025,10568078/857375) (50424/9025,-15358358/857375) (1538773343/23261329,57232726022590/112189389767) (1538773343/23261329,-64654229855879/112189389767) # # a-invariants: (1, 1, 0, -2819, -58803) # Cremona label: 618b1 # (61,-60) (61,-1) (71761479/3481,-610040273328/205379) (71761479/3481,605806346067/205379) # # a-invariants: (1, 0, 1, -21, 34) # Cremona label: 618c1 # (2,0) (2,-3) (4,-7) (-4,9) (4,2) (11/4,-9/8) (11/4,-21/8) (-4,-6) (266/25,3321/125) (-7/64,2865/512) (202/81,-1592/729) (-7/64,-3321/512) (202/81,-955/729) (266/25,-4776/125) (7939/14884,-10202033/1815848) (7939/14884,7417627/1815848) (-156878942/32867289,1371087668105/188428167837) (-156878942/32867289,-660128861456/188428167837) # # a-invariants: (1, 0, 1, 54, 196) # Cremona label: 618c2 # (28,-169) (28,140) (46/9,-752/27) (46/9,587/27) (-5/4,91/8) (-5/4,-89/8) (-4586/1521,-94784/59319) (-4586/1521,214319/59319) (1169569/129600,-2006410573/46656000) (1169569/129600,1538709733/46656000) # # a-invariants: (1, 0, 1, 325, -7018) # Cremona label: 618d1 # (24,109) (24,-134) (51,-404) (51,352) (15,28) (267,4240) (15,-44) (267,-4508) (66,517) (690/49,-9512/343) (663/4,-17839/8) (663/4,16505/8) (690/49,4339/343) (66,-584) (92859/25,28065788/125) (5931/289,-503452/4913) (128391/4489,-52848332/300763) (128391/4489,43945372/300763) (92859/25,-28530208/125) (5931/289,397712/4913) (8827368/17689,-26838048446/2352637) (8827368/17689,25661655865/2352637) (29119569/719104,-177382151983/609800192) (29119569/719104,152078957279/609800192) # # a-invariants: (1, 0, 1, -20330, -1118500) # Cremona label: 618d2 # (477,-10127) (477,9649) (168,379) (168,-548) (285,-4175) (285,3889) (4494,-303368) (4494,298873) (172901/169,70038981/2197) (172901/169,-72288891/2197) (38775/196,-4707625/2744) (38775/196,4162031/2744) (399323157/1968409,4593845725523/2761677827) (399323157/1968409,-5156857792621/2761677827) (120504376989/32433025,-42144944314203377/184706077375) (120504376989/32433025,41458487181173647/184706077375) # # a-invariants: (1, 1, 1, 1, 5) # Cremona label: 618e1 # (-1,2) (-1,-2) (1,-4) (1,2) (5,-16) (5,10) (-17/9,22/27) (-17/9,2/27) (35/4,185/8) (35/4,-263/8) (79/169,-7138/2197) (79/169,3914/2197) (-571/961,-69872/29791) (-571/961,57782/29791) (23521/225,-3807164/3375) (23521/225,3450974/3375) (1341601/802816,1908878287/719323136) (1341601/802816,-3830275919/719323136) # # a-invariants: (1, 0, 0, -185, 1401) # Cremona label: 618f1 # (10,-29) (10,19) (-14,-29) (-14,43) (4,25) (4,-29) (58,403) (58,-461) (22,79) (22,-101) (-2,-41) (-2,43) (-6,51) (-6,-45) (16,43) (16,-59) (130,1411) (130,-1541) (154/25,-3193/125) (154/25,2423/125) (-65/4,173/8) (-65/4,-43/8) (394/49,-8651/343) (394/49,5893/343) (514,11395) (514,-11909) (112/9,713/27) (112/9,-1049/27) (-1238/121,-56311/1331) (-1238/121,69929/1331) (382/289,-170521/4913) (382/289,164027/4913) (11974/361,-1341335/6859) (11974/361,1113829/6859) (56026/1681,11283131/68921) (56026/1681,-13580197/68921) (2500/1849,2646907/79507) (2500/1849,-2754407/79507) (-43406/4225,14418923/274625) (-43406/4225,-11597533/274625) (134281/256,48127603/4096) (134281/256,-50276099/4096) (2255434/279841,2542857379/148035889) (2255434/279841,-3735981965/148035889) (81736726/5094049,-681637197077/11497268593) (81736726/5094049,497157406495/11497268593) (4076904837522/808201,-8233652698545024519/726572699) (4076904837522/808201,8229987561096092241/726572699) # # a-invariants: (1, 0, 0, -1484, -22128) # Cremona label: 618g1 # # # a-invariants: (0, 1, 0, -101, 359) # Cremona label: 620a1 # (5,-2) (5,2) (17,62) (17,-62) (49/9,-10/27) (2,13) (2,-13) (49/9,10/27) (-2099/225,81026/3375) (6365/961,-147358/29791) (3845/676,16583/17576) (3845/676,-16583/17576) (-2099/225,-81026/3375) (6365/961,147358/29791) # # a-invariants: (0, 1, 0, 59, 1495) # Cremona label: 620a2 # (-6,-31) (-6,31) (69/4,713/8) (69/4,-713/8) (130/9,2015/27) (130/9,-2015/27) (-41391/8464,25983487/778688) (-41391/8464,-25983487/778688) (-1025765339/146168100,49499547353641/1767172329000) (-1025765339/146168100,-49499547353641/1767172329000) # # a-invariants: (0, 0, 0, -1052, 13129) # Cremona label: 620b1 # (19,0) (-12,155) (-12,-155) (18,-5) (18,5) (28,75) (28,-75) (202/9,-775/27) (202/9,775/27) (273/16,-775/64) (3,100) (3,-100) (273/16,775/64) (172/9,55/27) (172/9,-55/27) (298,-5115) (298,5115) (900/49,-589/343) (-30,133) (900/49,589/343) (-30,-133) (1297/64,-5895/512) (3523/81,-162440/729) (1297/64,5895/512) (3523/81,162440/729) (40068/3481,-10360975/205379) (40068/3481,10360975/205379) (12498/841,679975/24389) (12498/841,-679975/24389) (83692/1089,-22332725/35937) (83692/1089,22332725/35937) (-1003047/26896,-98003555/4410944) (901083/48841,2346020/10793861) (901083/48841,-2346020/10793861) (-1003047/26896,98003555/4410944) (1740316/17689,2184193185/2352637) (1740316/17689,-2184193185/2352637) # # a-invariants: (0, 0, 0, -1207, 9006) # Cremona label: 620b2 # (-38,0) (87,-750) (-13,150) (87,750) (-13,-150) (283/9,1250/27) (283/9,-1250/27) (7,-30) (7,30) (42,180) (17/16,5625/64) (17/16,-5625/64) (42,-180) (-3473/121,188250/1331) (2683/9,138050/27) (2683/9,-138050/27) (-3473/121,-188250/1331) (-1501/49,45030/343) (139407/361,51843750/6859) (-1501/49,-45030/343) (139407/361,-51843750/6859) (232033/5184,-78871825/373248) (232033/5184,78871825/373248) (21579827/2927521,-113041233750/5008988431) (21579827/2927521,113041233750/5008988431) (-49713213343/1313627536,-1047488587332975/47611116414784) (-49713213343/1313627536,1047488587332975/47611116414784) # # a-invariants: (0, 0, 0, 8, 4) # Cremona label: 620c1 # (0,2) (0,-2) (4,-10) (4,10) (5,-13) (5,13) (-4/25,-206/125) (-4/25,206/125) (520,11858) (520,-11858) (129/676,41345/17576) (129/676,-41345/17576) (53560/16641,-17050958/2146689) (53560/16641,17050958/2146689) (4569488564/35153041,308961648006950/208422380089) (4569488564/35153041,-308961648006950/208422380089) # # a-invariants: (1, -1, 0, -123, 548) # Cremona label: 621a1 # # # a-invariants: (1, -1, 1, -14, -16) # Cremona label: 621b1 # (-2,1) (-2,0) (7,10) (7,-18) (-134/81,280/729) (-134/81,197/729) (4741/784,138097/21952) (4741/784,-292797/21952) # # a-invariants: (1, -1, 1, 8, -5) # Cremona label: 622a1 # (1,-3) (1,1) (5,-15) (5,9) (7,-23) (7,15) (7/9,-61/27) (7/9,13/27) (229,3345) (229,-3575) (473/361,10671/6859) (473/361,-26517/6859) (2893/784,-230691/21952) (2893/784,127735/21952) (127345/12321,-53256445/1367631) (127345/12321,37753519/1367631) # # a-invariants: (1, 1, 0, 28, 157) # Cremona label: 623a1 # (12,43) (12,-55) (-1/4,-97/8) (-1/4,99/8) (-4,1) (-4,3) (33/64,6581/512) (33/64,-6845/512) (3484/225,-255107/3375) (3484/225,202847/3375) (4383/4,-294725/8) (4383/4,285959/8) (787436/83521,779671257/24137569) (787436/83521,-1007240261/24137569) # # a-invariants: (0, -1, 0, -3, 6) # Cremona label: 624a1 # (-2,0) (5/4,-13/8) (2,-2) (5/4,13/8) (2,2) (190/9,2548/27) (-23/16,147/64) (190/9,-2548/27) (-23/16,-147/64) (1346/3025,355094/166375) (1346/3025,-355094/166375) (24533/7396,-2952235/636056) (24533/7396,2952235/636056) (7777057/1382976,18920298223/1626379776) (7777057/1382976,-18920298223/1626379776) # # a-invariants: (0, -1, 0, -68, 240) # Cremona label: 624a2 # (5,0) (8,-12) (8,12) (4,4) (4,-4) (-7,-18) (21/4,3/8) (-7,18) (21/4,-3/8) (4/25,1892/125) (4/25,-1892/125) (680/121,-2580/1331) (680/121,2580/1331) (11573/2401,116892/117649) (3121/144,159103/1728) (3121/144,-159103/1728) (11573/2401,-116892/117649) (128913141/22372900,-265318428861/105823817000) (128913141/22372900,265318428861/105823817000) # # a-invariants: (0, -1, 0, 5, -14) # Cremona label: 624b1 # (2,0) (21/4,91/8) (21/4,-91/8) (6,14) (6,-14) (10210/9,1031212/27) (10210/9,-1031212/27) (1577/784,8499/21952) (1577/784,-8499/21952) (45342342/9778129,-285841061786/30576209383) (45342342/9778129,285841061786/30576209383) # # a-invariants: (0, -1, 0, -60, -144) # Cremona label: 624b2 # (-3,0) (-4,-4) (-4,4) (24,108) (24,-108) (37/4,21/8) (37/4,-21/8) (-255/49,162/343) (-255/49,-162/343) (-11908/2809,599204/148877) (65400/3481,-14533236/205379) (65400/3481,14533236/205379) (-11908/2809,-599204/148877) (8004721/7056,22636936351/592704) (8004721/7056,-22636936351/592704) # # a-invariants: (0, -1, 0, -7, -2) # Cremona label: 624c1 # (-2,0) # # a-invariants: (0, -1, 0, -52, 160) # Cremona label: 624c2 # (4,0) (5,0) (-8,0) # # a-invariants: (0, -1, 0, -832, 9520) # Cremona label: 624c3 # (17,0) # # a-invariants: (0, -1, 0, 8, 448) # Cremona label: 624c4 # (6,26) (6,-26) (-7,0) # # a-invariants: (0, 1, 0, -3, 0) # Cremona label: 624d1 # (0,0) # # a-invariants: (0, 1, 0, 12, 12) # Cremona label: 624d2 # (-1,0) # # a-invariants: (0, 1, 0, -651, -6228) # Cremona label: 624e1 # (-12,0) # # a-invariants: (0, 1, 0, 564, -25668) # Cremona label: 624e2 # (23,0) # # a-invariants: (0, 1, 0, -39, -108) # Cremona label: 624f1 # (-4,0) (-63/16,-9/64) (12,-36) (12,36) (-63/16,9/64) (4921/576,-220915/13824) (4921/576,220915/13824) (-28324/7225,-62376/614125) (-28324/7225,62376/614125) # # a-invariants: (0, 1, 0, -44, -84) # Cremona label: 624f2 # (-2,0) (7,0) (-6,0) (46,312) (-11/4,39/8) (-11/4,-39/8) (-5,-6) (10,-24) (-5,6) (46,-312) (10,24) (193/16,2295/64) (-902/289,28080/4913) (-114/25,-816/125) (271/9,-4420/27) (271/9,4420/27) (193/16,-2295/64) (-114/25,816/125) (-902/289,-28080/4913) (99130/121,31229016/1331) (-16925/8281,943734/753571) (99130/121,-31229016/1331) (-16925/8281,-943734/753571) (35886001/4161600,-134807138551/8489664000) (35886001/4161600,134807138551/8489664000) # # a-invariants: (0, 1, 0, -304, 1892) # Cremona label: 624f3 # (11,0) (2,36) (2,-36) (-16,54) (8,6) (38,-216) (8,-6) (-16,-54) (14,-24) (38,216) (14,24) (47,-306) (53/4,153/8) (53/4,-153/8) (-14,60) (194/25,972/125) (47,306) (-14,-60) (194/25,-972/125) (3278,187704) (1334/121,-1896/1331) (32/49,14118/343) (3278,-187704) (1334/121,1896/1331) (536/169,-68418/2197) (32/49,-14118/343) (536/169,68418/2197) (-65998/3721,10198476/226981) (7099/225,-530468/3375) (69089/4624,9478215/314432) (7099/225,530468/3375) (-65998/3721,-10198476/226981) (69089/4624,-9478215/314432) # # a-invariants: (0, 1, 0, 136, -444) # Cremona label: 624f4 # (16,-78) (3,0) (16,78) (181/4,2535/8) (40/9,-442/27) (181/4,-2535/8) (120,1326) (40/9,442/27) (120,-1326) (7,-30) (7,30) (75403/2601,22473620/132651) (167584/529,-68758014/12167) (3801/400,339099/8000) (167584/529,68758014/12167) (75403/2601,-22473620/132651) (3801/400,-339099/8000) (820851607/1002001,-23534536926090/1003003001) (820851607/1002001,23534536926090/1003003001) # # a-invariants: (0, -1, 0, -13, 4) # Cremona label: 624g1 # (4,0) (-11/4,27/8) (0,2) (0,-2) (-11/4,-27/8) (916/121,22356/1331) (916/121,-22356/1331) (185/16,2277/64) (185/16,-2277/64) (-72864/34225,-26482934/6331625) (-72864/34225,26482934/6331625) (1387028065/331822656,13814130993137/6044481501696) (1387028065/331822656,-13814130993137/6044481501696) # # a-invariants: (0, -1, 0, -148, -644) # Cremona label: 624g2 # (-7,0) (-27/4,-11/8) (45,-286) (45,286) (-27/4,11/8) (29297/1936,1599903/85184) (-274775/42849,-4420988/8869743) (29297/1936,-1599903/85184) (-274775/42849,4420988/8869743) # # a-invariants: (0, -1, 0, -733, 7888) # Cremona label: 624g3 # (16,0) (61/4,39/8) (61/4,-39/8) (12,26) (12,-26) (64,-468) (257/16,39/64) (257/16,-39/64) (64,468) (-11/4,795/8) (396/25,106/125) (396/25,-106/125) (-11/4,-795/8) (12697/576,611299/13824) (57424/3481,745992/205379) (57424/3481,-745992/205379) (12697/576,-611299/13824) (5774701/362404,-15553551/218167208) (5774701/362404,15553551/218167208) (21433481/1123600,-26173825821/1191016000) (21433481/1123600,26173825821/1191016000) (58664896/3455881,-44772870420/6424482779) (58664896/3455881,44772870420/6424482779) # # a-invariants: (0, -1, 0, -748, 7564) # Cremona label: 624g4 # (-31,0) (45/4,169/8) (45/4,-169/8) (21,26) (21,-26) (-71/9,3068/27) (-71/9,-3068/27) (1025/16,29913/64) (1025/16,-29913/64) (132621/2809,40842230/148877) (-291/100,98527/1000) (-291/100,-98527/1000) (132621/2809,-40842230/148877) (45193585/2005056,-115235383913/2839159296) (45193585/2005056,115235383913/2839159296) (77858990631761/3883027891600,-114828088211413316559/7651661781513464000) (77858990631761/3883027891600,114828088211413316559/7651661781513464000) # # a-invariants: (0, 1, 0, 8, 20) # Cremona label: 624h1 # (-2,0) # # a-invariants: (0, 1, 0, -72, 180) # Cremona label: 624h2 # (3,0) (-10,0) (6,0) # # a-invariants: (0, 1, 0, -312, -2028) # Cremona label: 624h3 # (-13,0) # # a-invariants: (0, 1, 0, -1112, 13908) # Cremona label: 624h4 # (19,0) (22,-24) (22,24) # # a-invariants: (0, 1, 0, -312, -44460) # Cremona label: 624i1 # (38,0) # # a-invariants: (0, 1, 0, -20792, -1150380) # Cremona label: 624i2 # (166,0) (-90,0) (-77,0) # # a-invariants: (0, 1, 0, -331832, -73684908) # Cremona label: 624i3 # (-333,0) # # a-invariants: (0, 1, 0, -37432, 932948) # Cremona label: 624i4 # (179,0) (422,7776) (422,-7776) # # a-invariants: (0, 1, 0, -5, -6) # Cremona label: 624j1 # (-2,0) # # a-invariants: (0, 1, 0, -20, 24) # Cremona label: 624j2 # (3,0) # # a-invariants: (1, -1, 0, -7, 9) # Cremona label: 626a1 # (2,-1) (0,-3) (1,-2) (1,1) (0,3) (19/9,-14/27) (20,-97) (19/9,-43/27) (20,77) (-161/100,-2957/1000) (522/361,-999/6859) (-161/100,4567/1000) (522/361,-8919/6859) (66980/25921,-12807857/4173281) (66980/25921,2024077/4173281) (41059/7569,5075834/658503) (41059/7569,-8647967/658503) (23492838241/5661057600,1759169772898469/425937973824000) (23492838241/5661057600,-3526770922151309/425937973824000) # # a-invariants: (1, -1, 0, -17, -13) # Cremona label: 626a2 # (-13/4,13/8) (-1,2) (49/9,83/27) (-1,-1) (49/9,-230/27) (-2029/841,105010/24389) (181/9,2063/27) (181/9,-2606/27) (-2029/841,-46169/24389) (2315173/156816,-3738799189/62099136) (-78121/36100,-14422063/6859000) (-78121/36100,29265053/6859000) (2315173/156816,2821990681/62099136) (1178869861/196196049,15496987391626/2748118058343) (1178869861/196196049,-32009417534653/2748118058343) # # a-invariants: (1, 0, 1, -2210, 39796) # Cremona label: 626b1 # # # a-invariants: (0, 1, 1, -1, -2) # Cremona label: 627a1 # # # a-invariants: (0, 1, 1, -363, -2995) # Cremona label: 627b1 # (33,148) (33,-149) # # a-invariants: (0, 1, 1, -30063, -2016358) # Cremona label: 627b2 # # # a-invariants: (0, -1, 0, 4, 8) # Cremona label: 628a1 # # # a-invariants: (1, -1, 0, 11, -18) # Cremona label: 629a1 # (2,2) (2,-4) (283/36,-5717/216) (283/36,4019/216) # # a-invariants: (0, 0, 1, -211, 1165) # Cremona label: 629b1 # # # a-invariants: (0, 0, 1, -40, 48) # Cremona label: 629c1 # (-6,-9) (-6,8) (28,144) (28,-145) (-7/4,-89/8) (-7/4,81/8) (8,-16) (8,15) (46/49,-1336/343) (46/49,993/343) (2241/400,-3711/8000) (2241/400,-4289/8000) (1414/1521,174689/59319) (1414/1521,-234008/59319) (7728/961,-482736/29791) (7728/961,452945/29791) (899202241/1600,-26964108831711/64000) (899202241/1600,26964108767711/64000) # # a-invariants: (1, -1, 1, -171, 1904) # Cremona label: 629d1 # (16,-64) (16,47) (-41/9,-1321/27) (-41/9,1417/27) (-266/25,-5558/125) (-266/25,6763/125) (391/36,-8903/216) (391/36,6341/216) (286,4682) (286,-4969) (51751/2025,-11894561/91125) (51751/2025,9474641/91125) # # a-invariants: (1, -1, 0, -105, 441) # Cremona label: 630a1 # (7,0) (0,-21) (0,21) (6,-3) (7,-7) # # a-invariants: (1, -1, 0, -75, 675) # Cremona label: 630a2 # (1,24) (15,-60) (15,45) (1,-25) (-45/4,45/8) # # a-invariants: (1, -1, 0, -420, -2800) # Cremona label: 630a3 # (-8,4) # # a-invariants: (1, -1, 0, 660, -15544) # Cremona label: 630a4 # (67/4,-67/8) # # a-invariants: (1, -1, 0, -5124, 142160) # Cremona label: 630b1 # (40,-20) # # a-invariants: (1, -1, 0, -3204, 248528) # Cremona label: 630b2 # (-317/4,317/8) # # a-invariants: (1, -1, 0, 1890, -24300) # Cremona label: 630c1 # (12,-6) # # a-invariants: (1, -1, 0, -9630, -210924) # Cremona label: 630c2 # (108,-54) (-84,42) (-93/4,93/8) # # a-invariants: (1, -1, 0, -135630, -19186524) # Cremona label: 630c3 # (-861/4,861/8) # # a-invariants: (1, -1, 0, -67950, 6682500) # Cremona label: 630c4 # (-300,150) (132,-66) (675/4,-675/8) # # a-invariants: (1, -1, 0, -1080450, 432540000) # Cremona label: 630c5 # (600,-300) (-1200,600) (2403/4,-2403/8) # # a-invariants: (1, -1, 0, 11430, 21304296) # Cremona label: 630c6 # (-1053/4,1053/8) # # a-invariants: (1, -1, 0, -17287200, 27669604050) # Cremona label: 630c7 # (9603/4,-9603/8) # # a-invariants: (1, -1, 0, -1073700, 438205950) # Cremona label: 630c8 # (-4797/4,4797/8) # # a-invariants: (1, -1, 0, 90, 436) # Cremona label: 630d1 # (-4,2) (12,-62) (5,29) (5,-34) (12,50) (140,-1726) (140,1586) (-3,13) (-3,-10) (1769/64,-85511/512) (1769/64,71359/512) (124/225,-75298/3375) (124/225,73438/3375) (18333/529,-2771030/12167) (18333/529,2349371/12167) (-5620/20449,59698222/2924207) (-5620/20449,-58894562/2924207) (58974732/638401,430010532862/510082399) (58974732/638401,-477131343730/510082399) (-9636475/3845521,-94504413611/7541066681) (-9636475/3845521,113401541086/7541066681) # # a-invariants: (1, -1, 0, -630, 4900) # Cremona label: 630d2 # (20,-10) (-28,14) (35/4,-35/8) (56,350) (-7,-91) (-7,98) (0,70) (0,-70) (35,-175) (56,-406) (35,140) (-25,80) (560,12950) (-25,-55) (8,14) (560,-13510) (21,-35) (8,-22) (21,14) (-140/9,3010/27) (-140/9,-2590/27) (77/16,-2989/64) (455/4,-9905/8) (644/25,7462/125) (455/4,8995/8) (77/16,2681/64) (644/25,-10682/125) (2975/529,438760/12167) (2960/121,-97010/1331) (-2968/169,-203854/2197) (141,-1715) (2960/121,64450/1331) (2975/529,-507185/12167) (141,1574) (-2968/169,242438/2197) (60515/2809,3052525/148877) (106904/289,-35747810/4913) (60515/2809,-6259820/148877) (16800/2209,1938790/103823) (106904/289,33930442/4913) (-32263/1369,4598657/50653) (-32263/1369,-3404926/50653) (16800/2209,-2728390/103823) (23108/17689,148699958/2352637) (23108/17689,-151773322/2352637) (463561/14400,198828049/1728000) (463561/14400,-254455369/1728000) (166430936/8300161,-113244929686/23912763841) (166430936/8300161,-366242596930/23912763841) (415188621/10817521,6082319334805/35578826569) (415188621/10817521,-7447874709274/35578826569) (230456572906581/2454984451921,-3547928279302944210254/3846565383663447719) (230456572906581/2454984451921,3186839933066569742795/3846565383663447719) # # a-invariants: (1, -1, 0, -3330, -69080) # Cremona label: 630d3 # (-157/4,157/8) (-34,80) (-34,-46) (218,-3196) (218,2978) (71,-256) (-27,38) (-27,-11) (71,185) (92,584) (-724/25,-4364/125) (-724/25,7984/125) (92,-676) (561,-13486) (-37,68) (561,12925) (-37,-31) (1478,-57502) (1478,56024) (-11086/289,-69380/4913) (-11086/289,257842/4913) (-4427/144,129217/1728) (-4427/144,-76093/1728) (11951/100,-1168429/1000) (11951/100,1048919/1000) (-49006/1849,1513718/79507) (299462/4489,-24500746/300763) (299462/4489,4436792/300763) (-49006/1849,593540/79507) (17601/121,2011294/1331) (-2855317/89401,-1249026908/26730899) (-2855317/89401,2102766691/26730899) (17601/121,-2204905/1331) (-108752187/3024121,-202714638038/5258946419) (301546151/811801,5028022244984/731432701) (-108752187/3024121,391834691231/5258946419) (301546151/811801,-5299715327035/731432701) # # a-invariants: (1, -1, 0, -9450, 355936) # Cremona label: 630d4 # (56,-28) (227/4,-227/8) (-112,56) (38,-244) (63,56) (50,-106) (50,56) (63,-119) (77,245) (38,206) (77,-322) (9422/169,-47068/2197) (57,-35) (-70,854) (563,-13444) (57,-22) (-70,-784) (563,12881) (9422/169,-75418/2197) (19568/361,3104/6859) (23429/400,-8057/8000) (344/49,-185884/343) (344/49,183476/343) (4543/36,219121/216) (4543/36,-246379/216) (19568/361,-374896/6859) (23429/400,-460523/8000) (3718067/64009,-823050988/16194277) (25593/169,3223466/2197) (3718067/64009,-117619963/16194277) (25593/169,-3556175/2197) (148105517/395641,1698466262542/248858189) (354611103/6205081,-577668047824/15456856771) (148105517/395641,-1791624632735/248858189) (354611103/6205081,-305668209749/15456856771) (15664890529/254721600,-398602582838053/4065356736000) (15664890529/254721600,148590929995213/4065356736000) # # a-invariants: (1, -1, 0, -151200, 22667386) # Cremona label: 630d5 # (899/4,-899/8) (227,-172) (225,-119) (227,-55) (225,-106) (605,-12646) (37983/169,-246784/2197) (605,12041) (37983/169,-246995/2197) (32457869/144400,-6206727257/54872000) (32457869/144400,-6127262963/54872000) (432559/1764,-49026109/74088) (432559/1764,30858631/74088) # # a-invariants: (1, -1, 0, -8820, 404950) # Cremona label: 630d6 # (-445/4,445/8) (45,290) (71,-400) (45,-335) (71,329) (-69,860) (-69,-791) (95105/169,28314005/2197) (95105/169,-29550370/2197) (1616695/12996,1545104635/1481544) (1616695/12996,-1729407865/1481544) (188021/19600,1541876449/2744000) (188021/19600,-1568199389/2744000) # # a-invariants: (1, -1, 0, 21, 53) # Cremona label: 630e1 # (-2,1) (2,9) (7,19) (2,-11) (7,-26) (-1,-5) (-1,6) (34,-215) (34,181) (-47/64,3293/512) (238/9,-4037/27) (-47/64,-2917/512) (238/9,3323/27) (983/121,-40879/1331) (983/121,30066/1331) (1906/1225,-434701/42875) (1906/1225,367991/42875) (548503/289,-410809933/4913) (-120862/61009,2502687/15069223) (548503/289,401485382/4913) (-120862/61009,27350227/15069223) (7365529/1218816,-30060564491/1345572864) (7365529/1218816,21929020475/1345572864) # # a-invariants: (1, -1, 0, -159, 665) # Cremona label: 630e2 # (-14,7) (10,-5) (19/4,-19/8) (-4,-33) (31,142) (-4,37) (1,-23) (1,22) (31,-173) (16,37) (16,-53) (136,1507) (136,-1643) (4,-11) (11,7) (11,-18) (4,7) (-11,37) (-11,-26) (-41/4,311/8) (34/9,229/27) (106,-1133) (34/9,-331/27) (181/16,-1307/64) (181/16,583/64) (-41/4,-229/8) (106,1027) (181/121,-28558/1331) (376/25,-5791/125) (35,175) (376/25,3911/125) (-236/49,-11549/343) (35,-210) (-236/49,13201/343) (181/121,26567/1331) (7591,657547) (1369/289,-6079/4913) (3616/361,-24407/6859) (1369/289,-17194/4913) (-2356/169,26619/2197) (-2356/169,4009/2197) (7591,-665138) (3616/361,-44297/6859) (15961/576,-1991857/13824) (979/2116,-2389553/97336) (-3086/961,1051369/29791) (-3086/961,-955703/29791) (979/2116,2344519/97336) (15961/576,1608793/13824) (912256/5041,835049267/357911) (912256/5041,-899819443/357911) (1731251/148225,-1319957729/57066625) (1731251/148225,653426094/57066625) (33463953611/17631601,-6190526154419407/74035092599) (33463953611/17631601,6050011013206818/74035092599) # # a-invariants: (1, -1, 0, -789, -7777) # Cremona label: 630e3 # (-77/4,77/8) (37,94) (37,-131) (-13,-6) (-13,19) (-17,31) (137,-1631) (-17,-14) (137,1494) (-593/36,6829/216) (1717/16,64741/64) (-593/36,-3271/216) (1717/16,-71609/64) (-78977/5929,-3976573/456533) (1001/25,-21714/125) (-78977/5929,10057802/456533) (1001/25,16709/125) (-937933/48841,60309959/10793861) (2740357/361,-4562171654/6859) (-937933/48841,146973234/10793861) (2740357/361,4510104871/6859) (-25923917/2033476,-8680057799/2899736776) (-25923917/2033476,45647563441/2899736776) # # a-invariants: (1, -1, 0, -2409, 46115) # Cremona label: 630e4 # (115/4,-115/8) (31,7) (31,-38) (41,-143) (41,102) (139,1474) (29,-18) (29,-11) (139,-1613) (439/4,-8809/8) (4189/144,-17539/1728) (4189/144,-32729/1728) (439/4,7931/8) (92371/3025,471166/166375) (2165/49,-61230/343) (2165/49,46075/343) (92371/3025,-5551571/166375) (2999839/104329,-495214891/33698267) (1282889/169,1444619389/2197) (1282889/169,-1461296946/2197) (2999839/104329,-473733106/33698267) (21310489/553536,-47688102319/411830784) (21310489/553536,31833098503/411830784) # # a-invariants: (1, -1, 0, -369, 1053) # Cremona label: 630f1 # (18,-9) # # a-invariants: (1, -1, 0, -3249, -69795) # Cremona label: 630f2 # (66,-33) (-30,15) (-141/4,141/8) # # a-invariants: (1, -1, 0, -24129, 1448685) # Cremona label: 630f3 # (126,-693) (126,567) (91,-28) (90,-45) (91,-63) # # a-invariants: (1, -1, 0, -51849, -4531275) # Cremona label: 630f4 # (-525/4,525/8) # # a-invariants: (1, -1, 0, -729, -177147) # Cremona label: 630f5 # (243/4,-243/8) # # a-invariants: (1, -1, 0, -24309, 1426113) # Cremona label: 630f6 # (78,-39) (372,-6801) (127,-676) (127,549) (-48,-1551) (57,444) (372,6429) (-48,1599) (57,-501) (-717/4,717/8) (102,-51) # # a-invariants: (1, -1, 0, -58059, -3373137) # Cremona label: 630f7 # (-93,1149) (397,5804) (-93,-1056) (397,-6201) (-813/4,813/8) # # a-invariants: (1, -1, 0, 6561, 4778595) # Cremona label: 630f8 # (1,-2188) (351,6912) (-621/4,621/8) (1,2187) (351,-7263) # # a-invariants: (1, -1, 1, -46118, -3792203) # Cremona label: 630g1 # (-119,59) # # a-invariants: (1, -1, 1, -28838, -6681419) # Cremona label: 630g2 # (955/4,-959/8) # # a-invariants: (1, -1, 1, -47, 119) # Cremona label: 630h1 # (7,-14) (3,-2) (-3,16) (-3,-14) (7,6) # # a-invariants: (1, -1, 1, 73, 551) # Cremona label: 630h2 # (1,24) (1,-26) (-21/4,17/8) (21,94) (21,-116) # # a-invariants: (1, -1, 1, -947, -10961) # Cremona label: 630h3 # (-17,8) # # a-invariants: (1, -1, 1, -677, -17549) # Cremona label: 630h4 # (139/4,-143/8) # # a-invariants: (1, -1, 1, -4478, -114163) # Cremona label: 630i1 # (-39,19) # # a-invariants: (1, -1, 1, -5198, -74419) # Cremona label: 630i2 # (315/4,-319/8) (-63,31) (-15,7) # # a-invariants: (1, -1, 1, -13253, 449597) # Cremona label: 630i3 # (127,832) (-129,64) (127,-960) (15,496) (15,-512) # # a-invariants: (1, -1, 1, -39218, 2946557) # Cremona label: 630i4 # (507/4,-511/8) # # a-invariants: (1, -1, 1, 17302, -560419) # Cremona label: 630i5 # (123/4,-127/8) # # a-invariants: (1, -1, 1, -197573, 33848381) # Cremona label: 630i6 # (75,-4448) (-513,256) (271,256) (255,-128) (495,7312) (271,-528) (243,-500) (495,-7808) (75,4372) (1035/4,-1039/8) (243,256) # # a-invariants: (1, -1, 1, -3161093, 2164026557) # Cremona label: 630i7 # (1083,-3692) (1027,-500) (4107/4,-4111/8) (1027,-528) (1083,2608) # # a-invariants: (1, -1, 1, -183173, 38980541) # Cremona label: 630i8 # (-2037/4,2033/8) (483,7696) (91,-4848) (91,4756) (483,-8180) # # a-invariants: (1, -1, 1, -32, 51) # Cremona label: 630j1 # (-1,9) (-1,-9) (5,-3) # # a-invariants: (1, -1, 1, -212, -1101) # Cremona label: 630j2 # (-7,3) (17,-9) (-37/4,33/8) # # a-invariants: (1, -1, 1, -3362, -74181) # Cremona label: 630j3 # (-133/4,129/8) # # a-invariants: (1, -1, 1, 58, -3909) # Cremona label: 630j4 # (59/4,-63/8) # # a-invariants: (0, 1, 0, -16, 16) # Cremona label: 632a1 # (0,-4) (0,4) (3,-2) (3,2) (-32/9,172/27) (-32/9,-172/27) (177/16,-2321/64) (177/16,2321/64) (4128/3481,64972/205379) (4128/3481,-64972/205379) (124195/16641,-41179654/2146689) (124195/16641,41179654/2146689) # # a-invariants: (1, 1, 1, -17, -70) # Cremona label: 633a1 # (12,-47) (12,34) (5,-1) (5,-5) (912/49,24298/343) (912/49,-31025/343) (4861/16,329825/64) (4861/16,-349333/64) (3789624/444889,5212912714/296740963) (3789624/444889,-8037332885/296740963) # # a-invariants: (0, 1, 1, 5, 6) # Cremona label: 635a1 # (0,2) (0,-3) (-3/4,9/8) (10/9,89/27) (30,-168) (-3/4,-17/8) (10/9,-116/27) (30,167) (8241/2704,-1151119/140608) (31980/4489,6259386/300763) (-17420/15129,75259/1860867) (8241/2704,1010511/140608) (-17420/15129,-1936126/1860867) (31980/4489,-6560149/300763) # # a-invariants: (0, 1, 1, -45, -209) # Cremona label: 635a2 # (37/4,123/8) (37/4,-131/8) (529/16,12033/64) (529/16,-12097/64) (1093/36,-35819/216) (1093/36,35603/216) (5491009/577600,7546669823/438976000) (5491009/577600,-7985645823/438976000) (1656495457681/183639675024,1075405734594662401/78695477217384768) (1656495457681/183639675024,-1154101211812047169/78695477217384768) # # a-invariants: (0, -1, 1, -10, 16) # Cremona label: 635b1 # (2,-1) (2,0) (1,2) (1,-3) (7,-16) (7,15) (56/25,-96/125) (56/25,-29/125) (-83/36,-1115/216) (-83/36,899/216) (2636/961,-56328/29791) (2636/961,26537/29791) (38707/14161,-3144980/1685159) (38707/14161,1459821/1685159) (-262379/112225,-192649281/37595375) (-262379/112225,155053906/37595375) (1006576081/146023056,-27488191994927/1764542608704) (1006576081/146023056,25723649386223/1764542608704) # # a-invariants: (1, -1, 0, -107, 454) # Cremona label: 637a1 # (6,-4) (6,-2) (19/4,-67/8) (19/4,29/8) (534/25,9542/125) (534/25,-12212/125) (229489/36864,-24090217/7077888) (229489/36864,-19971671/7077888) # # a-invariants: (1, -1, 0, 628, -17823) # Cremona label: 637a2 # (104,1027) (104,-1131) # # a-invariants: (0, -1, 1, -359, -2507) # Cremona label: 637b1 # # # a-invariants: (0, -1, 1, 621, -13238) # Cremona label: 637b2 # # # a-invariants: (0, -1, 1, -5749, 415463) # Cremona label: 637b3 # # # a-invariants: (1, -1, 0, -5252, -145223) # Cremona label: 637c1 # (4776/49,-192193/343) (4776/49,158761/343) # # a-invariants: (1, -1, 0, 30763, 6051758) # Cremona label: 637c2 # (-38,-2178) (-38,2216) (563/4,-29579/8) (563/4,28453/8) (2902714/3025,4962303378/166375) (2902714/3025,-5121952648/166375) (-10113012407/79709184,263769271539157/711643594752) (-10113012407/79709184,-173480296769461/711643594752) # # a-invariants: (0, 0, 1, 49, -86) # Cremona label: 637d1 # (7,-25) (7,24) (2,-5) (2,4) (616/25,15789/125) (616/25,-15914/125) (3397/81,200251/729) (3397/81,-200980/729) # # a-invariants: (1, -1, 1, 4, -34) # Cremona label: 639a1 # (3,-2) (12,-47) (6,-17) (6,10) (12,34) (255/4,3791/8) (255/4,-4309/8) (31/9,-160/27) (31/9,40/27) (22548/5929,-3491251/456533) (19374/529,2443670/12167) (22548/5929,1298522/456533) (19374/529,-2901439/12167) (5793241/360000,-15527091089/216000000) (5793241/360000,11835146489/216000000) (225680372868/366071689,-109309196891361139/7004049625637) (225680372868/366071689,104984250267652058/7004049625637) # # a-invariants: (1, -1, 1, -131, -520) # Cremona label: 639a2 # (-21/4,17/8) (-6,-2) (-6,7) (48,-344) (48,295) (15,19) (-65/9,155/27) (-65/9,13/27) (15,-35) (-348/49,-92/343) (1974/121,-62962/1331) (1974/121,39917/1331) (-348/49,2185/343) (2311/36,-115591/216) (-58251/10000,-1749257/1000000) (-58251/10000,6574357/1000000) (2311/36,101509/216) (-686292/130321,62677636/47045881) (-686292/130321,138027895/47045881) (6924846/2809,18036251939/148877) (6924846/2809,-18403417654/148877) (117387015/3136441,1084247219215/5554637011) (117387015/3136441,-1297694259791/5554637011) # # a-invariants: (0, 0, 0, -13, -18) # Cremona label: 640a1 # (-2,0) (17/4,-15/8) (-54/25,6/125) (17/4,15/8) (-54/25,-6/125) (403681/3600,256348079/216000) (403681/3600,-256348079/216000) # # a-invariants: (0, 0, 0, -8, -32) # Cremona label: 640a2 # (4,0) (12,40) (12,-40) (9,25) (9,-25) (409/100,1923/1000) (4036/9,-256400/27) (409/100,-1923/1000) (4036/9,256400/27) # # a-invariants: (0, 0, 0, -13, 18) # Cremona label: 640b1 # (2,0) (-2,6) (9/4,-3/8) (9/4,3/8) (-2,-6) (577/144,9503/1728) (577/144,-9503/1728) (434/289,6708/4913) (434/289,-6708/4913) (1260297/256036,1108996605/129554216) (1260297/256036,-1108996605/129554216) (114903196417/52016837184,2957637340884097/11863584090229248) (114903196417/52016837184,-2957637340884097/11863584090229248) # # a-invariants: (0, 0, 0, -8, 32) # Cremona label: 640b2 # (-4,0) (4,-8) (1,5) (1,-5) (4,8) (124/9,1360/27) (124/9,-1360/27) (-7/4,51/8) (-7/4,-51/8) (-1148/529,76120/12167) (2161/121,-99475/1331) (-1148/529,-76120/12167) (2161/121,99475/1331) (146017/41616,58279663/8489664) (414716/312481,-850737120/174676879) (146017/41616,-58279663/8489664) (414716/312481,850737120/174676879) # # a-invariants: (0, 0, 0, -2, -4) # Cremona label: 640c1 # (2,0) # # a-invariants: (0, 0, 0, -52, -144) # Cremona label: 640c2 # (-4,0) # # a-invariants: (0, -1, 0, -15, -25) # Cremona label: 640d1 # (5,0) # # a-invariants: (0, -1, 0, -265, -1575) # Cremona label: 640d2 # (-9,0) # # a-invariants: (0, -1, 0, -66, 230) # Cremona label: 640e1 # (5,0) # # a-invariants: (0, -1, 0, -61, 261) # Cremona label: 640e2 # (-9,0) # # a-invariants: (0, 1, 0, -66, -230) # Cremona label: 640f1 # (-5,0) # # a-invariants: (0, 1, 0, -61, -261) # Cremona label: 640f2 # (9,0) # # a-invariants: (0, 0, 0, -2, 4) # Cremona label: 640g1 # (-2,0) (3,-5) (0,2) (3,5) (0,-2) (22/9,-100/27) (22/9,100/27) (1/4,-15/8) (1/4,15/8) (-237/121,845/1331) (-237/121,-845/1331) (240,3718) (240,-3718) (-959/3600,-458911/216000) (-959/3600,458911/216000) (829495681/13823524,23883862896945/51395862232) (829495681/13823524,-23883862896945/51395862232) # # a-invariants: (0, 0, 0, -52, 144) # Cremona label: 640g2 # (4,0) (5,-3) (5,3) (0,-12) (0,12) (169/36,-395/216) (-44/25,1896/125) (-44/25,-1896/125) (169/36,395/216) (29045/121,4947813/1331) (113760/28561,1288188/4826809) (29045/121,-4947813/1331) (113760/28561,-1288188/4826809) # # a-invariants: (0, 1, 0, -15, 25) # Cremona label: 640h1 # (-5,0) (0,5) (0,-5) (5,10) (5,-10) (3,4) (3,-4) (5/4,25/8) (5/4,-25/8) (-35/9,170/27) (40,-255) (40,255) (-35/9,-170/27) (555/49,13000/343) (-31/16,-455/64) (-31/16,455/64) (555/49,-13000/343) (2040/961,80105/29791) (2040/961,-80105/29791) (2765/1369,134230/50653) (2765/1369,-134230/50653) (104005/10404,-33118775/1061208) (104005/10404,33118775/1061208) (-1856400/450241,1755194845/302111711) (-1856400/450241,-1755194845/302111711) (41891201/13249600,211195880351/48228544000) (41891201/13249600,-211195880351/48228544000) # # a-invariants: (0, 1, 0, -265, 1575) # Cremona label: 640h2 # (9,0) (5,-20) (10,5) (5,20) (10,-5) (37/4,-7/8) (-7,56) (37/4,7/8) (-7,-56) (370/9,6715/27) (370/9,-6715/27) (2565/289,4740/4913) (2565/289,-4740/4913) (34889/4225,-1164688/274625) (11281/784,-675935/21952) (34889/4225,1164688/274625) (11281/784,675935/21952) (12027970/1315609,58712635/1509003523) (12027970/1315609,-58712635/1509003523) # # a-invariants: (1, 1, 0, -49, 85) # Cremona label: 642a1 # (2,-1) # # a-invariants: (1, 1, 0, 111, 693) # Cremona label: 642a2 # (-21/4,21/8) # # a-invariants: (1, 0, 1, 140, -790) # Cremona label: 642b1 # (10,-46) (10,35) # # a-invariants: (1, 0, 1, -4315, -109978) # Cremona label: 642b2 # # # a-invariants: (1, 1, 1, 79, 335) # Cremona label: 642c1 # (15,-80) (15,64) (-1,16) (-1,-16) (-3,-8) (-3,10) (7,32) (7,-40) (159,1936) (159,-2096) (35,200) (35,-236) (51/25,-3016/125) (51/25,2636/125) (-305/81,656/729) (-305/81,1360/729) (879/361,149176/6859) (879/361,-172736/6859) (1913/49,80480/343) (1913/49,-94214/343) (124287/961,-46076048/29791) (124287/961,42193360/29791) (133360129/9801,-1546737736094/970299) (133360129/9801,1533534113024/970299) # # a-invariants: (1, 0, 0, -4, 3) # Cremona label: 643a1 # (1,0) (1,-1) (2,1) (2,-3) (-1,-2) (-1,3) (3,3) (3,-6) (-2,3) (-2,-1) (3/4,3/8) (3/4,-9/8) (-1/4,-15/8) (-1/4,17/8) (13/9,-43/27) (13/9,4/27) (13/16,17/64) (13/16,-69/64) (23,99) (23,-122) (-11/9,85/27) (-11/9,-52/27) (37,-244) (37,207) (11/25,-174/125) (11/25,119/125) (46/25,-321/125) (46/25,91/125) (94/81,-793/729) (94/81,-53/729) (109/16,-1333/64) (109/16,897/64) (146/121,-81/1331) (146/121,-1525/1331) (169/49,-2568/343) (169/49,1385/343) (354/49,5307/343) (354/49,-7785/343) (-407/169,1899/2197) (-407/169,3392/2197) (-654/361,21735/6859) (-654/361,-9309/6859) (803/841,1242/24389) (803/841,-24529/24389) (-47/576,-24653/13824) (-47/576,25781/13824) (397/961,29852/29791) (397/961,-42159/29791) (1871/1225,10914/42875) (1871/1225,-76399/42875) (2063/4,91661/8) (2063/4,-95787/8) (-1509/625,22011/15625) (-1509/625,15714/15625) (4993/4096,-304993/262144) (4993/4096,-14559/262144) (5303/3721,-351882/226981) (5303/3721,28399/226981) (6371/1156,382515/39304) (6371/1156,-599129/39304) (5259/5041,-13362/357911) (5259/5041,-360027/357911) (-4082/19881,5768899/2803221) (-4082/19881,-5193337/2803221) (98521/4761,27572416/328509) (98521/4761,-34370365/328509) (-51311/118336,97076467/40707584) (-51311/118336,-79425483/40707584) (283534/48841,115023303/10793861) (283534/48841,-177684317/10793861) (384263/279841,-213197133/148035889) (384263/279841,9922006/148035889) (-371939/474721,-660026060/327082769) (-371939/474721,916292031/327082769) (1884238/203401,-2990762547/91733851) (1884238/203401,2140971209/91733851) (2172563/67081,2927316246/17373979) (2172563/67081,-3490010063/17373979) (-97464659/44355600,-131840714719/295408296000) (-97464659/44355600,780955343659/295408296000) (-469811987/252301456,12564747013437/4007556327104) (-469811987/252301456,-5102253411929/4007556327104) (817673138/104329,23249668634039/33698267) (817673138/104329,-23513777057613/33698267) (962088478/765684241,-25889522336567/21187248632711) (962088478/765684241,-732427938171/21187248632711) (-10230512111/9681969609,-1892798257234373/952676763616773) (-10230512111/9681969609,2899449957420440/952676763616773) # # a-invariants: (0, 1, 0, 6, -43) # Cremona label: 644a1 # (13,49) (13,-49) (13/4,-37/8) (13/4,37/8) (5269/1521,332171/59319) (5269/1521,-332171/59319) (335569/21904,-201910655/3241792) (335569/21904,201910655/3241792) # # a-invariants: (0, -1, 0, 2, -7) # Cremona label: 644b1 # (4,-7) (4,7) (2,-1) (2,1) (11,35) (11,-35) (22,-101) (22,101) (184/81,1477/729) (184/81,-1477/729) (301/100,-4151/1000) (301/100,4151/1000) (14624/121,-1761263/1331) (14624/121,1761263/1331) (1211011/638401,74703895/510082399) (1211011/638401,-74703895/510082399) # # a-invariants: (1, 1, 0, 2, 7) # Cremona label: 645a1 # (-2,1) # # a-invariants: (1, 1, 0, -43, 88) # Cremona label: 645a2 # (11/4,-11/8) (-8,4) (4,-2) # # a-invariants: (1, 1, 0, -118, -407) # Cremona label: 645a3 # (-37/4,37/8) # # a-invariants: (1, 1, 0, -688, 6667) # Cremona label: 645a4 # (59/4,-59/8) # # a-invariants: (1, 1, 0, -22, 31) # Cremona label: 645b1 # (2,-1) # # a-invariants: (1, 1, 0, 3, 126) # Cremona label: 645b2 # (-21/4,21/8) # # a-invariants: (0, -1, 1, -16780, 855303) # Cremona label: 645c1 # # # a-invariants: (0, -1, 1, -18000, -923542) # Cremona label: 645d1 # # # a-invariants: (0, 1, 1, 1815, 141239) # Cremona label: 645e1 # (51,607) (51,-608) (-39,112) (-39,-113) (69/4,3371/8) (69/4,-3379/8) (861,-25313) (861,25312) (111,1312) (111,-1313) (-399/16,-18257/64) (-399/16,18193/64) (-9,-353) (-9,352) (213,-3200) (213,3199) (1149/4,39551/8) (1149/4,-39559/8) (-111/49,126841/343) (-111/49,-127184/343) (-25149/841,-6041632/24389) (-25149/841,6017243/24389) (5729/64,-519631/512) (5729/64,519119/512) (471579/289,-324058144/4913) (471579/289,324053231/4913) (56049/2209,46872176/103823) (56049/2209,-46975999/103823) (-221979/5476,-21248707/405224) (-221979/5476,20843483/405224) (1394991/121,1647702317/1331) (1394991/121,-1647703648/1331) # # a-invariants: (0, 1, 1, 10, 44) # Cremona label: 645f1 # (1,7) (1,-8) (-2,4) (-2,-5) (16,-68) (16,67) (7,22) (7,-23) (-11/4,11/8) (-11/4,-19/8) (3,10) (3,-11) (76,667) (76,-668) (-14/25,716/125) (-14/25,-841/125) (-131/169,-14396/2197) (-131/169,12199/2197) (913/16,-27905/64) (913/16,27841/64) (1789/529,131669/12167) (1789/529,-143836/12167) (-1238/441,-17513/9261) (-1238/441,8252/9261) (-747731/407044,-1376807071/259694072) (-747731/407044,1117112999/259694072) # # a-invariants: (1, -1, 0, -125, -507) # Cremona label: 646a1 # (-6,3) # # a-invariants: (1, -1, 0, -85, -867) # Cremona label: 646a2 # (51/4,-51/8) # # a-invariants: (1, 1, 1, -77, -77) # Cremona label: 646b1 # (-1,0) # # a-invariants: (1, 1, 1, 303, -229) # Cremona label: 646b2 # (3/4,-7/8) # # a-invariants: (1, 0, 0, -241, 1413) # Cremona label: 646c1 # (-18,9) # # a-invariants: (1, 0, 0, -3851, 91663) # Cremona label: 646c2 # (143/4,-143/8) # # a-invariants: (1, -1, 1, -406, 3237) # Cremona label: 646d1 # (-23,11) (9,11) (9,-21) (15,-27) (15,11) (97/9,-7/27) (13,-13) (97/9,-311/27) (13,-1) (-15,-69) (129,1379) (129,-1509) (-15,83) (193/9,1417/27) (109/25,-5237/125) (193/9,-2023/27) (109/25,4567/125) (555/49,-1737/343) (10449/841,-191369/24389) (10449/841,-136041/24389) (555/49,-2491/343) (-593/324,-365077/5832) (-593/324,369919/5832) (12433/361,-1294279/6859) (12433/361,1051193/6859) (685305/14641,474647523/1771561) (685305/14641,-559340989/1771561) (-9381/1681,5176809/68921) (-9381/1681,-4861109/68921) (10376917/923521,-7389263389/887503681) (10376917/923521,-3470457529/887503681) (5207761/416025,-1199069201/268336125) (5207761/416025,-2428272769/268336125) (1887021133/6964321,-84137206899299/18378843119) (1887021133/6964321,79138979286193/18378843119) # # a-invariants: (1, -1, 1, -6486, 202661) # Cremona label: 646d2 # (187/4,-191/8) (51,-77) (47,-27) (47,-21) (51,25) (85,-553) (85,467) (421/9,-655/27) (421/9,-635/27) (16881/361,-165023/6859) (137,1299) (137,-1437) (16881/361,-162575/6859) (10981/225,-1399/3375) (87397/1849,-2408899/79507) (87397/1849,-1428679/79507) (10981/225,-166691/3375) (183039/169,-79262825/2197) (183039/169,76881121/2197) (1926563/41209,-199434759/8365427) (1926563/41209,-200022957/8365427) (6504391/116964,3186475865/40001688) (6504391/116964,-5450979275/40001688) (1580715467/24611521,22758355499043/122097755681) (1580715467/24611521,-30722382686511/122097755681) (17963313493981/384207824025,-5705992431779035189/238149298682776125) (17963313493981/384207824025,-5666626919580393881/238149298682776125) # # a-invariants: (1, 0, 0, -153, 505) # Cremona label: 646e1 # (48,-347) (48,299) (10,-5) (14,-41) (14,27) # # a-invariants: (1, 0, 0, -913, -10287) # Cremona label: 646e2 # (52,263) (-16,25) (52,-315) (-81/4,81/8) (-16,-9) # # a-invariants: (1, 0, 0, -4573, -119379) # Cremona label: 646e3 # (78,-39) # # a-invariants: (1, 0, 0, -73163, -7623125) # Cremona label: 646e4 # (-625/4,625/8) # # a-invariants: (0, 0, 0, -3, 14) # Cremona label: 648a1 # (-1,4) (-1,-4) (2,-4) (2,4) (55/9,404/27) (55/9,-404/27) (-175/64,679/512) (-175/64,-679/512) (18023/1369,-2406028/50653) (18023/1369,2406028/50653) # # a-invariants: (0, 0, 0, -3, -1) # Cremona label: 648b1 # (-1,-1) (-1,1) (2,-1) (2,1) (-5/9,-19/27) (-5/9,19/27) (65/4,521/8) (65/4,-521/8) (-757/529,7327/12167) (-757/529,-7327/12167) (10666/3249,-917243/185193) (10666/3249,917243/185193) (-128449/366025,-21664549/221445125) (-128449/366025,21664549/221445125) # # a-invariants: (0, 0, 0, -27, -378) # Cremona label: 648c1 # # # a-invariants: (0, 0, 0, -27, 27) # Cremona label: 648d1 # (-3,9) (-3,-9) (6,-9) (6,9) (1,1) (1,-1) (33/4,-153/8) (33/4,153/8) (-111/25,963/125) (-111/25,-963/125) (142,1691) (142,-1691) (-1299/841,196659/24389) (-1299/841,-196659/24389) (22929/4624,-1219527/314432) (22929/4624,1219527/314432) (13117/19881,8627939/2803221) (13117/19881,-8627939/2803221) # # a-invariants: (1, 0, 0, -1, 4) # Cremona label: 649a1 # (3,4) (3,-7) (0,2) (0,-2) (-17/9,31/27) (-17/9,20/27) (-3/16,137/64) (-3/16,-125/64) (735/289,-27956/4913) (735/289,15461/4913) (4192/9,265198/27) (4192/9,-277774/27) (214659/60025,-129612188/14706125) (214659/60025,77020733/14706125) (-295193885/159441129,652280640139/2013263135883) (-295193885/159441129,3075132545756/2013263135883) # # a-invariants: (1, -1, 0, -167, -259) # Cremona label: 650a1 # (14,-7) (-11,18) (-11,-7) (-2,-7) (-2,9) (1534/81,33697/729) (95,-961) (95,866) (1534/81,-47503/729) (-77921/11236,31537163/1191016) (-77921/11236,-23277537/1191016) (84688927/3337929,-727164026378/6098396283) (84688927/3337929,572437356749/6098396283) # # a-invariants: (1, -1, 0, -2167, -38259) # Cremona label: 650a2 # (-26,13) (-109/4,109/8) (54,-27) (-27,18) (74,-487) (74,413) (-27,9) (379,7123) (-2126/81,6317/729) (-2126/81,12817/729) (379,-7502) (727434/3721,-621899487/226981) (8095/81,-661769/729) (8095/81,588914/729) (727434/3721,577526013/226981) (-1090039/41209,155691271/8365427) (-1090039/41209,65586646/8365427) # # a-invariants: (1, -1, 0, -34667, -2475759) # Cremona label: 650a3 # (-429/4,429/8) (399,-7062) (-8687/81,39122/729) (-8687/81,39061/729) (399,6663) (72767995/301401,-315224770366/165469149) (72767995/301401,275275141111/165469149) # # a-invariants: (1, -1, 0, -1667, -56759) # Cremona label: 650a4 # (211/4,-211/8) (264,-4357) (84,-667) (264,4093) (84,583) (30679/81,-5472118/729) (30679/81,5196007/729) (73,418) (73,-491) (1146414/121,-1233719027/1331) (1146414/121,1221108473/1331) (29907598501/153338689,-5212252146156754/1898792985887) (29907598501/153338689,4841906353918871/1898792985887) # # a-invariants: (1, 1, 0, -130, -780) # Cremona label: 650b1 # (84,-810) (84,726) (199/9,2081/27) (199/9,-2678/27) # # a-invariants: (1, 1, 0, -11330, -468940) # Cremona label: 650b2 # (124,-290) (124,166) (18449119/3249,-79763961301/185193) (18449119/3249,78712361518/185193) # # a-invariants: (1, -1, 0, -22, 46) # Cremona label: 650c1 # (5,-9) (5,4) (3,-2) (3,-1) (7/4,19/8) (7/4,-33/8) (-5,-1) (-5,6) (21/25,-709/125) (21/25,604/125) (185/64,-1017/512) (185/64,-463/512) (2917/729,-101708/19683) (2917/729,22949/19683) (4187/49,254682/343) (4187/49,-283991/343) # # a-invariants: (1, 0, 1, 299, 22048) # Cremona label: 650d1 # # # a-invariants: (1, 0, 1, -21026, -1175052) # Cremona label: 650e1 # (-83,41) # # a-invariants: (1, 0, 1, -19026, -1407052) # Cremona label: 650e2 # (663/4,-667/8) # # a-invariants: (1, -1, 0, -67, 341) # Cremona label: 650f1 # # # a-invariants: (1, -1, 0, -5317, -162409) # Cremona label: 650f2 # # # a-invariants: (1, 0, 1, -26, 48) # Cremona label: 650g1 # (2,-4) (2,1) (7,11) (-3,11) (3,-3) (3,-1) (7,-19) (-3,-9) (23/4,53/8) (28/9,-23/27) (28/9,-88/27) (23/4,-107/8) (-4,-8) (-4,11) (387,-7809) (109/49,-1219/343) (109/49,113/343) (387,7421) (207/121,-6089/1331) (207/121,2481/1331) (11897/4096,-277741/262144) (11897/4096,-745811/262144) (-3038/1521,-540041/59319) (-3038/1521,599204/59319) (3218/361,-194732/6859) (3218/361,126731/6859) (-748013/152881,-353842309/59776471) (-748013/152881,586538921/59776471) (456231/93025,-278619461/28372625) (456231/93025,111096381/28372625) (29111167/21734244,298593894367/101325045528) (29111167/21734244,-535635200449/101325045528) # # a-invariants: (1, 0, 1, 99, 248) # Cremona label: 650g2 # (11,46) (11,-58) (-2,7) (-2,-6) (3,-26) (3,22) (76,631) (76,-708) (899/25,25822/125) (899/25,-30442/125) (31/36,-4153/216) (31/36,3751/216) (2294139/5929,3388529486/456533) (2294139/5929,-3565634722/456533) (13092308113/2249035776,-3792153741929177/106658272641024) (13092308113/2249035776,3064605849337241/106658272641024) # # a-invariants: (1, 1, 1, 12, 31) # Cremona label: 650h1 # # # a-invariants: (1, 1, 1, -113, -969) # Cremona label: 650h2 # # # a-invariants: (1, 1, 1, -11488, -478719) # Cremona label: 650h3 # # # a-invariants: (1, 1, 1, -638, 6031) # Cremona label: 650i1 # # # a-invariants: (1, 1, 1, 2487, 31031) # Cremona label: 650i2 # # # a-invariants: (1, 1, 1, -813, 8531) # Cremona label: 650j1 # (15,-8) # # a-invariants: (1, 1, 1, -313, 19531) # Cremona label: 650j2 # (-125/4,121/8) # # a-invariants: (1, 1, 1, -5188, -140219) # Cremona label: 650j3 # (-35,17) # # a-invariants: (1, 1, 1, 2812, -524219) # Cremona label: 650j4 # (275/4,-279/8) # # a-invariants: (1, 1, 1, 12, 181) # Cremona label: 650k1 # (25,117) (25,-143) (5,17) (5,-23) (-1,-13) (-1,13) (-5,-3) (-5,7) (-35/9,-221/27) (-35/9,299/27) (1,-15) (1,13) (35/4,221/8) (35/4,-299/8) (65,497) (65,-563) (181,-2535) (181,2353) (115/9,1199/27) (115/9,-1571/27) (295/121,18057/1331) (295/121,-22633/1331) (-139/49,-3641/343) (-139/49,4271/343) (-5095/961,33007/29791) (-5095/961,95147/29791) (-575/256,52407/4096) (-575/256,-47303/4096) (6529/2025,1299493/91125) (6529/2025,-1684423/91125) (44125/2809,-11299491/148877) (44125/2809,8811989/148877) (344855/841,-207842687/24389) (344855/841,197817503/24389) (99131/2209,29387849/103823) (99131/2209,-34150829/103823) (290658019/47927929,6438318931365/331805052467) (290658019/47927929,-8782349449369/331805052467) (413375810345/101806941184,498493404918677371/32483744337461248) (413375810345/101806941184,-662873795814538459/32483744337461248) # # a-invariants: (1, 0, 0, -3263, -90983) # Cremona label: 650l1 # (102,-851) (102,749) # # a-invariants: (1, 0, 0, -283263, -58050983) # Cremona label: 650l2 # # # a-invariants: (1, -1, 1, -555, 5197) # Cremona label: 650m1 # # # a-invariants: (1, 1, 0, -5596, -164045) # Cremona label: 651a1 # (86,-43) # # a-invariants: (1, 1, 0, -89631, -10365894) # Cremona label: 651a2 # (-693/4,693/8) # # a-invariants: (1, 1, 0, -3, 0) # Cremona label: 651b1 # (0,0) # # a-invariants: (1, 1, 0, 12, 15) # Cremona label: 651b2 # (-5/4,5/8) # # a-invariants: (1, 0, 1, 3, -5) # Cremona label: 651c1 # (1,-1) (11/4,27/8) (5,-15) (5,9) (11/4,-57/8) (73/64,-1073/512) (457/9,-10499/27) (73/64,-23/512) (457/9,9101/27) (103445/61009,-59541945/15069223) (103445/61009,18921807/15069223) (888005281/70560000,22954665449479/592704000000) (888005281/70560000,-31006613809879/592704000000) # # a-invariants: (1, 0, 1, -32, -61) # Cremona label: 651c2 # (-9/4,5/8) (21,82) (21,-104) (-3,4) (-3,-2) (-67/16,9/64) (27/4,23/8) (27/4,-85/8) (-67/16,195/64) (-651/169,-2738/2197) (3117/361,91486/6859) (3117/361,-157568/6859) (-651/169,9004/2197) (29329/576,4644565/13824) (-315801/122500,129550343/42875000) (29329/576,-5362285/13824) (-315801/122500,-61894993/42875000) # # a-invariants: (1, 0, 0, 36, -81) # Cremona label: 651d1 # (2,-1) (9,-36) (9,27) (30,-183) (15/4,-99/8) (51,-393) (51,342) (3,6) (3,-9) (30,153) (15/4,69/8) (306/25,5139/125) (1737/256,76509/4096) (1737/256,-104301/4096) (306/25,-6669/125) (569,-13861) (169/81,-2269/729) (169/81,748/729) (569,13292) (116187/5929,-45929442/456533) (499179/104329,-564872526/33698267) (499179/104329,403637709/33698267) (571575/5476,-454488063/405224) (571575/5476,412191513/405224) (116187/5929,36983043/456533) (101113841/43033600,-1527342118919/282300416000) (101113841/43033600,864035321959/282300416000) # # a-invariants: (1, 0, 0, -209, -816) # Cremona label: 651d2 # (-12,6) (-17/4,17/8) (16,-8) (205,2827) (-11,-8) (19,37) (-5,-8) (19,-56) (205,-3032) (-5,13) (-11,19) (127/4,-1387/8) (-176/25,2672/125) (-551/64,11969/512) (-551/64,-7561/512) (-176/25,-1792/125) (127/4,1133/8) (52,334) (52,-386) (-3485/361,156808/6859) (-299/49,-4283/343) (7165/289,415304/4913) (7165/289,-537109/4913) (9739/121,892664/1331) (9739/121,-999793/1331) (-299/49,6376/343) (-3485/361,-90593/6859) (-78177/6724,8015217/551368) (-78177/6724,-1604703/551368) (46096/81,-10103192/729) (46096/81,9688328/729) (108961/6400,8523719/512000) (108961/6400,-17240599/512000) (13844172532/618566641,-1348084294545806/15384370928311) (13844172532/618566641,1003765879502434/15384370928311) # # a-invariants: (1, 0, 0, -3044, -64887) # Cremona label: 651d3 # (-129/4,129/8) (208,2779) (208,-2987) (-32,19) (-32,13) (-50639/1600,934939/64000) (271/4,-1891/8) (-50639/1600,1090621/64000) (271/4,1349/8) (-561728/17689,31480681/2352637) (3122032/34969,-4306899761/6539203) (3122032/34969,3723079777/6539203) (-561728/17689,43229143/2352637) (295545841/518400,-5163634528849/373248000) (295545841/518400,4950841523329/373248000) # # a-invariants: (1, 0, 0, -1294, 17195) # Cremona label: 651d4 # (95/4,-95/8) (-37,140) (17,-22) (17,5) (-37,-103) (206,-3019) (206,2813) (26,23) (26,-49) (617/49,-20749/343) (-13,-172) (-13,185) (617/49,16430/343) (3671/100,-157999/1000) (3545/64,160375/512) (3545/64,-188735/512) (3671/100,121289/1000) (17/169,286889/2197) (17/169,-287110/2197) (3618266/43681,5947427119/9129329) (3618266/43681,-6703644713/9129329) (434606/14161,111295939/1685159) (434606/14161,-163014053/1685159) (310152895/544644,-5567145357095/401947272) (310152895/544644,5338252520585/401947272) # # a-invariants: (0, 1, 1, 23, -83) # Cremona label: 651e1 # (5,-14) (5,13) # # a-invariants: (0, 1, 1, -1057, -13610) # Cremona label: 651e2 # (56,-326) (56,325) # # a-invariants: (0, 1, 1, -85687, -9682913) # Cremona label: 651e3 # # # a-invariants: (1, 0, 1, -174, 880) # Cremona label: 654a1 # (17,-63) (17,45) (8,-9) (8,0) (5,-15) (5,9) (-10,45) (-10,-36) (-7,45) (-7,-39) (23/4,45/8) (23/4,-99/8) (209/25,117/125) (209/25,-1287/125) (22,77) (22,-100) (773,-21879) (773,21105) (680/49,-14400/343) (680/49,9297/343) (2225/289,-1935/4913) (2225/289,-40803/4913) (4097/1024,-604305/32768) (4097/1024,440433/32768) (-10663/841,-659835/24389) (-10663/841,944673/24389) (-17176/4225,11136663/274625) (-17176/4225,-10294848/274625) (734237/116281,-415223595/39651821) (734237/116281,125196957/39651821) (276502/31329,14226908/5545233) (276502/31329,-68712995/5545233) # # a-invariants: (1, 1, 1, -56, 1145) # Cremona label: 654b1 # (-3,-35) (-3,37) (5,29) (5,-35) (69,541) (69,-611) (-11,-19) (-11,29) (15,-71) (15,55) (17,-83) (17,65) (-291/25,3113/125) (-291/25,-1783/125) (493/9,10255/27) (493/9,-11761/27) (1005/169,64225/2197) (1005/169,-79487/2197) (-199/49,-11957/343) (-199/49,13007/343) (4659,315721) (4659,-320381) (-2675/1369,1815737/50653) (-2675/1369,-1767415/50653) (647069/7225,-550555367/614125) (647069/7225,494940377/614125) (884215/66564,-1058971405/17173512) (884215/66564,813670423/17173512) # # a-invariants: (0, 0, 1, -13, 18) # Cremona label: 655a1 # (1,2) (1,-3) (2,0) (2,-1) (3,2) (3,-3) (6,-13) (6,12) (-4,-3) (-4,2) (9/4,1/8) (9/4,-9/8) (4,-6) (4,5) (-1,-6) (-1,5) (-3,5) (-3,-6) (19/9,-1/27) (19/9,-26/27) (16,62) (16,-63) (1/4,-35/8) (1/4,27/8) (41/16,-117/64) (41/16,53/64) (16/9,-37/27) (16/9,10/27) (71,597) (71,-598) (79/49,-589/343) (79/49,246/343) (46/25,-156/125) (46/25,31/125) (74/49,321/343) (74/49,-664/343) (61/25,-191/125) (61/25,66/125) (109/9,1079/27) (109/9,-1106/27) (57,-430) (57,429) (-23/16,341/64) (-23/16,-405/64) (9/64,1819/512) (9/64,-2331/512) (72/49,351/343) (72/49,-694/343) (389/169,489/2197) (389/169,-2686/2197) (137/4,1591/8) (137/4,-1599/8) (-194/81,-4717/729) (-194/81,3988/729) (257/121,-1290/1331) (257/121,-41/1331) (342/121,-3356/1331) (342/121,2025/1331) (984/529,2559/12167) (984/529,-14726/12167) (1114/289,-27224/4913) (1114/289,22311/4913) (-69/361,27798/6859) (-69/361,-34657/6859) (-1086/289,-20864/4913) (-1086/289,15951/4913) (922/121,-25976/1331) (922/121,24645/1331) (-914/225,5084/3375) (-914/225,-8459/3375) (1871/169,-78190/2197) (1871/169,75993/2197) (2801/625,-118299/15625) (2801/625,102674/15625) (3996/1849,-79417/79507) (3996/1849,-90/79507) (-2152/841,131598/24389) (-2152/841,-155987/24389) (11976/1681,1133617/68921) (11976/1681,-1202538/68921) (13789/4489,-963049/300763) (13789/4489,662286/300763) (7369/2916,-273905/157464) (7369/2916,116441/157464) (9879/5041,-374970/357911) (9879/5041,17059/357911) (-10589/3721,1174497/226981) (-10589/3721,-1401478/226981) (34009/16384,-89571/2097152) (34009/16384,-2007581/2097152) (-8759/5476,-2598287/405224) (-8759/5476,2193063/405224) (16409/13924,2689559/1643032) (16409/13924,-4332591/1643032) (17876/2809,-2144015/148877) (17876/2809,1995138/148877) (34337/15376,183791/1906624) (34337/15376,-2090415/1906624) (32971/49,-5986933/343) (32971/49,5986590/343) (22857/18496,-6333765/2515456) (22857/18496,3818309/2515456) (121164/61009,225246/15069223) (121164/61009,-15294469/15069223) (10537/19881,-10911446/2803221) (10537/19881,8108225/2803221) (61636/77841,-74000042/21717639) (61636/77841,52282403/21717639) (876201/2401,820074578/117649) (876201/2401,-820192227/117649) (1029641/196,-1044790487/2744) (1029641/196,1044787743/2744) (3398041/1028196,-4038826537/1042590744) (3398041/1028196,2996235793/1042590744) (-59419/874225,-3984139229/817400375) (-59419/874225,3166738854/817400375) (6227482/1718721,-10874469815/2253243231) (6227482/1718721,8621226584/2253243231) (-5158612/1413721,-7791580822/1680914269) (-5158612/1413721,6110666553/1680914269) (88015321/53509225,253500021494/391419980875) (88015321/53509225,-644920002369/391419980875) (358846401/40704400,-6431474825601/259694072000) (358846401/40704400,6171780753601/259694072000) # # a-invariants: (0, 0, 0, -11, 10) # Cremona label: 656a1 # (1,0) (3,-2) (-3,-4) (3,2) (-3,4) (1/9,80/27) (10,-30) (10,30) (1/9,-80/27) (-27/169,-7532/2197) (387/49,6994/343) (-27/169,7532/2197) (387/49,-6994/343) (11521/3600,594431/216000) (11521/3600,-594431/216000) # # a-invariants: (0, 0, 0, 29, 66) # Cremona label: 656a2 # (-2,0) (-1,-6) (39,-246) (39,246) (-1,6) (82/9,890/27) (169/100,-10947/1000) (169/100,10947/1000) (82/9,-890/27) (55799/8281,-17949294/753571) (55799/8281,17949294/753571) # # a-invariants: (0, 1, 0, -12, -20) # Cremona label: 656b1 # (-2,0) # # a-invariants: (0, 1, 0, 8, -60) # Cremona label: 656b2 # (3,0) # # a-invariants: (0, -1, 0, -24, -16) # Cremona label: 656c1 # (-4,0) # # a-invariants: (0, -1, 0, -184, 1008) # Cremona label: 656c2 # (9,0) # # a-invariants: (1, -1, 1, -743, 7494) # Cremona label: 657a1 # (-31,15) # # a-invariants: (1, -1, 1, -11678, 488634) # Cremona label: 657a2 # (251/4,-255/8) # # a-invariants: (0, 0, 1, -57, -167) # Cremona label: 657b1 # # # a-invariants: (0, 0, 1, 24, -36) # Cremona label: 657c1 # (2,-5) (2,4) (12,-45) (12,44) (1001/100,34249/1000) (1001/100,-35249/1000) (10702858321/5962928400,1436993023229369/460457331048000) (10702858321/5962928400,-1897450354277369/460457331048000) # # a-invariants: (0, 0, 1, -246, 2043) # Cremona label: 657c2 # (3,36) (3,-37) (221/25,2894/125) (221/25,-3019/125) (377/4,-7231/8) (-7,58) (-7,-59) (377/4,7223/8) (2487/169,87056/2197) (48513/1936,-9222561/85184) (48513/1936,9137377/85184) (-35681/2025,2699128/91125) (-35681/2025,-2790253/91125) (2487/169,-89253/2197) # # a-invariants: (1, -1, 1, -11, 10) # Cremona label: 657d1 # (1,-1) (4,-7) (-2,-4) (4,2) (-2,5) (-5/4,37/8) (5,-11) (-5/4,-35/8) (5,5) (46/49,-76/343) (148,-1870) (46/49,-589/343) (148,1721) (-1679/625,70919/15625) (881/256,929/4096) (881/256,-19121/4096) (-1679/625,-44569/15625) (139252/20449,-54767090/2924207) (139252/20449,31929847/2924207) (5928805/159201,-15450721189/63521199) (5928805/159201,13021606795/63521199) # # a-invariants: (1, -1, 1, 34, 46) # Cremona label: 657d2 # (-5/4,1/8) (17,-82) (1,8) (1,-10) (17,64) (11/4,85/8) (577/64,13861/512) (11/4,-115/8) (577/64,-18989/512) (7249/49,-641656/343) (7249/49,590570/343) (-3167/3249,-616048/185193) (-3167/3249,611374/185193) (-39199/160000,368999849/64000000) (-39199/160000,-417320249/64000000) # # a-invariants: (1, 1, 0, -117008, 18214144) # Cremona label: 658a1 # # # a-invariants: (1, 1, 0, -9, 5) # Cremona label: 658b1 # (2,-1) # # a-invariants: (1, 1, 0, -49, -147) # Cremona label: 658b2 # (-21/4,21/8) # # a-invariants: (1, 0, 1, 3, 12) # Cremona label: 658c1 # (0,-4) (0,3) # # a-invariants: (1, 0, 1, -32, -338) # Cremona label: 658c2 # # # a-invariants: (1, 1, 1, 24, -23) # Cremona label: 658d1 # (5,-19) (5,13) (1,-3) (1,1) (13,45) (13,-59) (53,-419) (53,365) (19/9,137/27) (19/9,-221/27) (365/169,-18383/2197) (365/169,11441/2197) (1399/25,-56667/125) (1399/25,49547/125) (30325/2401,5081677/117649) (30325/2401,-6685251/117649) (104107517/1369,1060323895705/50653) (104107517/1369,-1064175924487/50653) # # a-invariants: (1, -1, 1, 1668, 19775) # Cremona label: 658e1 # (-11,5) (117,-1403) (5,-171) (117,1285) (5,165) (61,557) (157/9,-6521/27) (157/9,6023/27) (61,-619) (-9,67) (1013,31749) (-9,-59) (1013,-32763) (-35/9,3143/27) (-35/9,-3065/27) (277,-4795) (277,4517) (9621/289,-1723915/4913) (9621/289,1555445/4913) (881/25,-45819/125) (881/25,41289/125) (20425/81,2862325/729) (20425/81,-3046879/729) (-191083/20449,180253419/2924207) (648549/529,514961507/12167) (-191083/20449,-155852757/2924207) (648549/529,-529890301/12167) (531190565/4844401,12521358966189/10662526601) (531190565/4844401,-13701171926355/10662526601) (-2657490131/241958025,-3241100970313/3763657078875) (-2657490131/241958025,40814702879143/3763657078875) (30775531505/246113344,-5933571385377555/3861026140672) (30775531505/246113344,5446903820986443/3861026140672) # # a-invariants: (1, -1, 1, -8572, 183615) # Cremona label: 658e2 # (91/4,-95/8) (105,-711) (105,605) (-63,717) (-63,-655) (133,-1243) (133,1109) (-371/9,-17881/27) (-371/9,18967/27) (4053,255909) (21,101) (4053,-259963) (21,-123) (805/9,-10825/27) (805/9,8383/27) (-83,605) (-83,-523) (-21,-585) (4599/25,262497/125) (-21,605) (4599/25,-285617/125) (1267/81,162053/729) (1267/81,-174185/729) (1015,-32701) (1015,31685) (-11739/121,-346329/1331) (13797/169,-423727/2197) (-11739/121,474127/1331) (13797/169,242169/2197) (2557/9,-126457/27) (2557/9,118759/27) (436485/961,-289144005/29791) (436485/961,275583179/29791) (32277/5041,-129856493/357911) (32277/5041,127206915/357911) (574609/7225,-33748747/614125) (-3397919/33489,110915815/6128487) (574609/7225,-15707143/614125) (-3397919/33489,504774875/6128487) (45927/5476,-137675297/405224) (23092125/44944,106692621577/9528128) (45927/5476,133871475/405224) (23092125/44944,-111597680205/9528128) (-1191431/170569,34944557089/70444997) (-1191431/170569,-34522941083/70444997) (13280088325/10817521,1503779888872685/35578826569) (13280088325/10817521,-1547493678200179/35578826569) # # a-invariants: (1, -1, 1, -18, 33) # Cremona label: 658f1 # (3,-3) (3,-1) (1,3) (1,-5) (-1,-7) (-1,7) (11/4,-19/8) (11/4,-11/8) (31,-185) (31,153) (177/49,-1723/343) (177/49,141/343) (451/225,-11119/3375) (451/225,979/3375) (-927/256,31047/4096) (-927/256,-20311/4096) (237329/28561,-120180373/4826809) (237329/28561,75244963/4826809) (2453279/450241,-3632052647/302111711) (2453279/450241,1683790727/302111711) # # a-invariants: (1, 1, 0, -79, -306) # Cremona label: 659a1 # (-50/9,76/27) (-50/9,74/27) (931/36,24343/216) (931/36,-29929/216) (-64175138/11512449,107375271076/39061739457) (-64175138/11512449,110370972158/39061739457) (1048144973233/106036199424,-134933371980924137/34528779690835968) (1048144973233/106036199424,-206376171942884119/34528779690835968) # # a-invariants: (0, 1, 1, -372, 2641) # Cremona label: 659b1 # # # a-invariants: (0, -1, 0, -21, -54) # Cremona label: 660a1 # (6,0) # # a-invariants: (0, -1, 0, -396, -2904) # Cremona label: 660a2 # (-11,0) # # a-invariants: (0, -1, 0, -1, 10) # Cremona label: 660b1 # (-2,0) (1,-3) (1,3) (3,5) (3,-5) (13,45) (-1,3) (13,-45) (-1,-3) (10,30) (-3/4,25/8) (-3/4,-25/8) (10,-30) (31/9,-161/27) (37/49,1035/343) (31/9,161/27) (37/49,-1035/343) (603,-14795) (-239/121,-807/1331) (603,14795) (-239/121,807/1331) (2302/1849,240300/79507) (2302/1849,-240300/79507) (1049/400,34443/8000) (1049/400,-34443/8000) (61441/3481,-14780937/205379) (61441/3481,14780937/205379) (-114929/233289,358636319/112678587) (-114929/233289,-358636319/112678587) (28983597/7279204,-143366736175/19639292392) (28983597/7279204,143366736175/19639292392) # # a-invariants: (0, -1, 0, -76, 280) # Cremona label: 660b2 # (5,0) (-6,-22) (6,2) (-6,22) (6,-2) (14,-42) (34/9,-154/27) (34/9,154/27) (14,42) (81/25,-946/125) (45/4,215/8) (45/4,-215/8) (81/25,946/125) (-2206/529,273966/12167) (2734/441,27278/9261) (-2206/529,-273966/12167) (2734/441,-27278/9261) (72966/121,19691338/1331) (72966/121,-19691338/1331) (4339601/739600,-816059601/636056000) (4339601/739600,816059601/636056000) # # a-invariants: (0, 1, 0, -41, 120) # Cremona label: 660c1 # (7,-15) (1,-9) (7,15) (1,9) (-8,0) (4,-6) (13/4,-45/8) (-5,-15) (-3,15) (4,6) (19,-81) (37,-225) (-3,-15) (13/4,45/8) (-5,15) (19,81) (37,225) (-119/16,-531/64) (-17/49,-3975/343) (241/25,3339/125) (49/9,253/27) (-119/16,531/64) (-17/49,3975/343) (49/9,-253/27) (232,3540) (232,-3540) (247/121,-9315/1331) (247/121,9315/1331) (241/25,-3339/125) (59077/5041,13326615/357911) (-2549/2209,-1342113/103823) (7053/1444,425475/54872) (9220/3721,-1431270/226981) (17371/169,2296293/2197) (59077/5041,-13326615/357911) (9220/3721,1431270/226981) (7053/1444,-425475/54872) (-2549/2209,1342113/103823) (17371/169,-2296293/2197) (12894289/222784,46432398087/105154048) (9889489/3441025,37309656663/6383101375) (9889489/3441025,-37309656663/6383101375) (12894289/222784,-46432398087/105154048) (-1175039/576081,-6172793279/437245479) (-1175039/576081,6172793279/437245479) (-167400792563111/41824934528400,4155383109871907064613/270491053080759048000) (-167400792563111/41824934528400,-4155383109871907064613/270491053080759048000) # # a-invariants: (0, 1, 0, -716, 7140) # Cremona label: 660c2 # (4,66) (4,-66) (16,-6) (15,0) (16,6) (-29,66) (124/9,242/27) (61/4,-3/8) (124/9,-242/27) (40,-210) (40,210) (364/25,-462/125) (-29,-66) (24,66) (61/4,3/8) (364/25,462/125) (24,-66) (52039/3481,-168564/205379) (16864/1089,85238/35937) (16864/1089,-85238/35937) (-4044/529,-1345278/12167) (28660/2809,4710090/148877) (52039/3481,168564/205379) (3721/16,226029/64) (-4044/529,1345278/12167) (21184/1225,648402/42875) (21184/1225,-648402/42875) (28660/2809,-4710090/148877) (3721/16,-226029/64) (-29913989/1946025,-329702730434/2714704875) (-29913989/1946025,329702730434/2714704875) (206736136/11135569,-903252143202/37159393753) (206736136/11135569,903252143202/37159393753) (82542885/5373124,-18038093535/12454901432) (82542885/5373124,18038093535/12454901432) # # a-invariants: (0, 1, 0, 319, -1356) # Cremona label: 660c3 # (4,0) (141/4,1875/8) (16,90) (16,-90) (141/4,-1875/8) (1373716/5929,-1618222500/456533) (20329/3600,-5537917/216000) (1373716/5929,1618222500/456533) (20329/3600,5537917/216000) (141845046256/1389127441,-54456902421216030/51774168853511) (141845046256/1389127441,54456902421216030/51774168853511) (25045655200427554081/441626755664001600,132019803173192635319735605679/293483078141582489840064000) (25045655200427554081/441626755664001600,-132019803173192635319735605679/293483078141582489840064000) # # a-invariants: (0, 1, 0, -1556, -13356) # Cremona label: 660c4 # (-9,0) (-7349/225,-204974/3375) (189/4,1155/8) (189/4,-1155/8) (-7349/225,204974/3375) (-74963068569/5172630241,-29669045417221980/372020739562961) (4980530641/21344400,347007818138239/98611128000) (-74963068569/5172630241,29669045417221980/372020739562961) (4980530641/21344400,-347007818138239/98611128000) # # a-invariants: (0, 1, 0, 219, -4500) # Cremona label: 660d1 # (87,825) (87,-825) (21,-99) (12,0) (21,99) # # a-invariants: (0, 1, 0, -3156, -63900) # Cremona label: 660d2 # (-36,-66) (-36,66) (96,-726) (-25,0) (96,726) # # a-invariants: (0, 1, 0, -15621, -757296) # Cremona label: 660d3 # (144,0) # # a-invariants: (0, 1, 0, -249996, -48194796) # Cremona label: 660d4 # (-289,0) # # a-invariants: (1, 0, 1, 32, -210) # Cremona label: 662a1 # (25,115) (25,-141) (6,11) (6,-18) (1601/361,-53967/6859) (1601/361,16689/6859) (10290/841,944755/24389) (10290/841,-1267554/24389) (2025549085/27499536,-96948094648889/144207566784) (2025549085/27499536,86181907680365/144207566784) # # a-invariants: (1, 1, 0, -262, -1745) # Cremona label: 663a1 # (-10,5) # # a-invariants: (1, 1, 0, -327, -900) # Cremona label: 663a2 # (75/4,-75/8) # # a-invariants: (1, 1, 1, -539, 4592) # Cremona label: 663b1 # (13,-7) (14,-1) (14,-14) (51/4,-43/8) (9,19) (9,-29) (51/4,-67/8) (-12,-92) (324/25,-892/125) (-12,103) (324/25,-853/125) (14206/1089,-239582/35937) (581/25,-10619/125) (3353/256,-31717/4096) (3353/256,-26027/4096) (1726/49,-66487/343) (581/25,7589/125) (1726/49,54062/343) (14206/1089,-265153/35937) # # a-invariants: (1, 1, 1, -544, 4496) # Cremona label: 663b2 # (28,-125) (-109/4,105/8) (28,96) (11,-6) (2,-60) (15,-8) (2,57) (148/9,-736/27) (-301/25,-11478/125) (35/4,-219/8) (-301/25,12858/125) (1178/121,-28029/1331) (-838/49,-30057/343) (1129/64,9593/512) (132,-1568) (35/4,141/8) (1129/64,-19137/512) (79,-720) (-838/49,35580/343) (148/9,265/27) (79,640) (1178/121,13740/1331) (132,1435) (149361/6400,-43164799/512000) (1882015/53361,1938163352/12326391) (4162732/2809,8385277815/148877) (149361/6400,30703919/512000) (2648258/243049,-1196233251/119823157) (2648258/243049,-229181100/119823157) (1882015/53361,-2385235208/12326391) (4162732/2809,-8606051488/148877) # # a-invariants: (1, 1, 1, -1389, -14094) # Cremona label: 663b3 # (-125/4,121/8) (41,-21) (-11,5) (-57/4,-389/8) (-27,81) (-57/4,495/8) (313,5351) (877/16,16115/64) (877/16,-19687/64) (-27,-55) (313,-5665) (-132611/5929,41395297/456533) (-1829/100,83489/1000) (1201/9,38225/27) (5225/64,-354951/512) (-1829/100,-66199/1000) (-132611/5929,-31640783/456533) (5225/64,312639/512) (1201/9,-41855/27) (-15596457/521284,21345358891/376367048) (33878953/758641,67053647705/660776311) (-15596457/521284,-10461083985/376367048) (33878953/758641,-97222992079/660776311) (14892292321/341510400,-792283018133671/6311112192000) (14892292321/341510400,510762343849591/6311112192000) # # a-invariants: (1, 1, 1, 221, 17042) # Cremona label: 663b4 # (-93/4,89/8) (19,159) (19,-179) (-20,81) (-20,-62) (526,11820) (526,-12347) (6,133) (340/9,-8213/27) (340/9,7166/27) (6,-140) (307/4,-5931/8) (-5141/441,-1008421/9261) (-8639/1600,-7884861/64000) (15819/121,-2107051/1331) (307/4,5309/8) (-5141/441,1107121/9261) (15819/121,1931711/1331) (-8639/1600,8166421/64000) (-2316026/149769,-5439701881/57960603) (-2316026/149769,6278043340/57960603) (-1776626/1968409,358273517300/2761677827) (-1776626/1968409,-358542588849/2761677827) (1011676835539/682724641,1004823373793605389/17838912144689) (1011676835539/682724641,-1031275316741548609/17838912144689) # # a-invariants: (1, 1, 1, -20174, -1111138) # Cremona label: 663b5 # (-333/4,329/8) (5229/16,-345101/64) (-329/4,427/8) (5229/16,324121/64) (-329/4,223/8) (100273/576,10277827/13824) (-48414141/592900,20760461933/456533000) (-48414141/592900,16061893637/456533000) (100273/576,-12698203/13824) # # a-invariants: (1, 1, 1, 3876, -89910) # Cremona label: 663b6 # (83/4,-87/8) (25,-166) (25,140) (1249,43592) (1249,-44842) (1239/4,43263/8) (621/16,-23527/64) (1239/4,-45749/8) (621/16,20979/64) (300721/4489,197285846/300763) (22585/169,-3848512/2197) (300721/4489,-217734916/300763) (22585/169,3552710/2197) (113539/900,40344203/27000) (113539/900,-43777373/27000) (26665937/379456,-179415650259/233744896) (26665937/379456,162755688171/233744896) (10178585966199/395467415044,38097818801531856301/248694429559399928) (10178585966199/395467415044,-44747439158967091767/248694429559399928) # # a-invariants: (1, 0, 0, -33, -72) # Cremona label: 663c1 # (-4,2) (9,15) (9,-24) (-3,0) (-3,3) (-51/16,219/64) (-51/16,-15/64) (12,30) (12,-42) (-99/25,159/125) (-99/25,336/125) (321,5592) (321,-5913) (-2084/729,47998/19683) (473/64,-7049/512) (-2084/729,8270/19683) (473/64,3265/512) (-60147/17689,-577905/2352637) (-60147/17689,8577456/2352637) (6985164/87025,-19471897302/25672375) (6985164/87025,17411273922/25672375) # # a-invariants: (1, 0, 0, -98, 279) # Cremona label: 663c2 # (31/4,-31/8) (-5,-23) (-5,28) (1,-14) (1,13) (46,-329) (10,13) (46,283) (10,-23) (79/25,32/125) (79/25,-427/125) (-11,13) (-11,-2) (99/4,819/8) (205/16,-2597/64) (205/16,1777/64) (99/4,-1017/8) (-2825/361,-138632/6859) (-2825/361,192307/6859) (109/49,-3317/343) (109/49,2554/343) (8026/25,-739039/125) (27934/3481,-1859863/205379) (8026/25,698909/125) (27934/3481,211757/205379) (-47165/20449,68372231/2924207) (-47165/20449,-61627636/2924207) (398065/46656,-134325883/10077696) (398065/46656,48343843/10077696) # # a-invariants: (0, 0, 0, -7, 10) # Cremona label: 664a1 # (1,2) (1,-2) (-1,4) (-1,-4) (3,-4) (3,4) (-3,-2) (-3,2) (5,10) (5,-10) (2,-2) (2,2) (9,26) (9,-26) (-2,-4) (-2,4) (13,-46) (13,46) (13/9,-46/27) (13/9,46/27) (1/9,-82/27) (1/9,82/27) (9/4,19/8) (9/4,-19/8) (1/4,23/8) (1/4,-23/8) (-5/9,-100/27) (-5/9,100/27) (31,-172) (31,172) (41,-262) (41,262) (41/25,214/125) (41/25,-214/125) (67,548) (67,-548) (39/25,-212/125) (39/25,212/125) (-79/25,-94/125) (-79/25,94/125) (37/49,-778/343) (37/49,778/343) (-39/16,-227/64) (-39/16,227/64) (-111/49,1294/343) (-111/49,-1294/343) (53/121,3526/1331) (53/121,-3526/1331) (489/121,9194/1331) (489/121,-9194/1331) (477/169,7838/2197) (477/169,-7838/2197) (439/169,6716/2197) (439/169,-6716/2197) (-373/121,2012/1331) (-373/121,-2012/1331) (302,-5248) (302,5248) (270/49,-4040/343) (270/49,4040/343) (281/64,4093/512) (281/64,-4093/512) (757/361,-14618/6859) (757/361,14618/6859) (-523/289,-20102/4913) (-523/289,20102/4913) (-30/289,-16090/4913) (-30/289,16090/4913) (898/81,26234/729) (898/81,-26234/729) (1871/529,66068/12167) (1871/529,-66068/12167) (1147/841,42172/24389) (1147/841,-42172/24389) (3169/961,142174/29791) (3169/961,-142174/29791) (2253/1849,143986/79507) (2253/1849,-143986/79507) (4681/729,298378/19683) (4681/729,-298378/19683) (-1355/1849,-305210/79507) (-1355/1849,305210/79507) (8317/81,-758242/729) (8317/81,758242/729) (-10079/3721,-684238/226981) (-10079/3721,684238/226981) (18453/841,-2489594/24389) (18453/841,2489594/24389) (-13529/4761,-865772/328509) (-13529/4761,865772/328509) (2818/5041,-895606/357911) (2818/5041,895606/357911) (45289/25,9638038/125) (45289/25,-9638038/125) (16519/15129,-3559364/1860867) (16519/15129,3559364/1860867) (-8831/5776,-1816769/438976) (-8831/5776,1816769/438976) (7649/8464,1635631/778688) (7649/8464,-1635631/778688) (145773/169,-55656206/2197) (145773/169,55656206/2197) (40129/22500,-6026633/3375000) (40129/22500,6026633/3375000) (58409/7396,13451741/636056) (58409/7396,-13451741/636056) (-15955/61009,-51792430/15069223) (-15955/61009,51792430/15069223) (117947/67081,30727108/17373979) (117947/67081,-30727108/17373979) (162649/87025,-47654518/25672375) (162649/87025,47654518/25672375) (520769/243049,-263563246/119823157) (520769/243049,263563246/119823157) (1717321/83521,-2233086938/24137569) (1717321/83521,2233086938/24137569) (-874199/280900,-190812451/148877000) (-874199/280900,190812451/148877000) (9676133/3024121,-23729291926/5258946419) (9676133/3024121,23729291926/5258946419) (13215591/55225,48040055236/12977875) (13215591/55225,-48040055236/12977875) (15091129/5489649,-43677578026/12862247607) (15091129/5489649,43677578026/12862247607) (25062238/38825361,580125502036/241920824391) (25062238/38825361,-580125502036/241920824391) (223489311/376088449,-17939773400812/7293483291457) (223489311/376088449,17939773400812/7293483291457) (8319422361/110166016,758364692181827/1156302503936) (8319422361/110166016,-758364692181827/1156302503936) (109148870871/29195531689,29965739850688492/4988552913104363) (109148870871/29195531689,-29965739850688492/4988552913104363) (-23665806748907/7533087154609,-20521319336543743546/20675665059636128023) (-23665806748907/7533087154609,20521319336543743546/20675665059636128023) # # a-invariants: (0, 1, 0, 1, 2) # Cremona label: 664b1 # (-1,1) (-1,-1) (2,4) (2,-4) (7/9,53/27) (7/9,-53/27) (-31/64,655/512) (-31/64,-655/512) (2423/121,122371/1331) (2423/121,-122371/1331) (-33278/25281,1480076/4019679) (-33278/25281,-1480076/4019679) # # a-invariants: (0, -1, 0, -3, 4) # Cremona label: 664c1 # (1,-1) (1,1) (0,2) (0,-2) (9,25) (9,-25) (25/16,-53/64) (25/16,53/64) (-119/81,1279/729) (-119/81,-1279/729) (1696/625,45494/15625) (1696/625,-45494/15625) (35361/14161,4073609/1685159) (35361/14161,-4073609/1685159) (-287775/179776,111459377/76225024) (-287775/179776,-111459377/76225024) (5580066270681/5174260090000,10889078646757736171/11769889426723000000) (5580066270681/5174260090000,-10889078646757736171/11769889426723000000) # # a-invariants: (1, 1, 1, 64, 258) # Cremona label: 665a1 # (4,22) (4,-27) (-3,-6) (-3,8) (18,78) (18,-97) (163/4,-2323/8) (163/4,1989/8) (-14/9,346/27) (-14/9,-331/27) (589/625,-295112/15625) (589/625,264762/15625) (31476/169,5402606/2197) (31476/169,-5813991/2197) (262497/30976,185542519/5451776) (262497/30976,-237193767/5451776) # # a-invariants: (1, -1, 0, -14, -17) # Cremona label: 665b1 # (-2,1) (46/9,-205/27) (-119/64,527/512) (-119/64,425/512) (46/9,67/27) (14788513/665856,-61062978089/543338496) (14788513/665856,48995551481/543338496) # # a-invariants: (1, -1, 0, -19, 0) # Cremona label: 665b2 # (0,0) (19/4,-19/8) (-4,2) (-19/16,-247/64) (16,-68) (-9/4,-33/8) (-9/4,51/8) (-19/16,323/64) (76/9,-646/27) (76/9,418/27) (16,52) (-10944/3025,866856/166375) (3025/576,31955/13824) (-10944/3025,-264936/166375) (101251/1156,-33760967/39304) (3025/576,-104555/13824) (101251/1156,30318433/39304) # # a-invariants: (1, -1, 0, -194, 1085) # Cremona label: 665b3 # (35/4,-35/8) (4,17) (4,-21) (940/121,-3555/1331) (1621/144,16627/1728) (940/121,-6785/1331) (1621/144,-36079/1728) (-356/25,4443/125) (71/4,-509/8) (-356/25,-2663/125) (71/4,367/8) (307620611/3496900,5020737839831/6539203000) (307620611/3496900,-5595988382401/6539203000) # # a-invariants: (1, -1, 0, 76, -57) # Cremona label: 665b4 # (3/4,-3/8) (62,459) (2,9) (62,-521) (2,-11) (223/36,-6059/216) (237/16,-4599/64) (237/16,3651/64) (223/36,4721/216) (29762/1681,4990469/68921) (29762/1681,-6210711/68921) (2846881/1742400,-21057813389/2299968000) (2846881/1742400,17299930469/2299968000) # # a-invariants: (1, 1, 0, -2, 1) # Cremona label: 665c1 # (0,-1) (0,1) (-1/4,-9/8) (-1/4,11/8) (80,-761) (80,681) (321/1600,-58301/64000) (321/1600,45461/64000) # # a-invariants: (0, -1, 1, -210, 6798) # Cremona label: 665d1 # (-11,87) (24,-123) (-11,-88) (24,122) (-29/9,-2341/27) (-29/9,2314/27) (61/4,661/8) (-18,-67) (514,-11638) (61/4,-669/8) (39,237) (-18,66) (39,-238) (514,11637) (73,-613) (73,612) (129,-1453) (-351/16,-1257/64) (129,1452) (76/9,-2026/27) (4,77) (4,-78) (76/9,1999/27) (-351/16,1193/64) (283/169,-177523/2197) (6999/121,571567/1331) (15034/81,1833373/729) (12309/1156,-2975577/39304) (-1034/49,12606/343) (-1034/49,-12949/343) (6999/121,-572898/1331) (12309/1156,2936273/39304) (15034/81,-1834102/729) (283/169,175326/2197) (74161/64,20185399/512) (-5571/961,2614017/29791) (74161/64,-20185911/512) (-75611/4761,-25345232/328509) (11136/625,-1439491/15625) (-75611/4761,25016723/328509) (11136/625,1423866/15625) (-5571/961,-2643808/29791) (-31960314/2362369,-305170684179/3630961153) (1251037/60516,1544261851/14886936) (1251037/60516,-1559148787/14886936) (-31960314/2362369,301539723026/3630961153) # # a-invariants: (0, -1, 1, -16660, -1081562) # Cremona label: 665d2 # (18757/36,2475991/216) (18757/36,-2476207/216) (23977/144,-1480339/1728) (23977/144,1478611/1728) (19577967156757/93823365636,60843900084502949441/28738659834500616) (19577967156757/93823365636,-60872638744337450057/28738659834500616) # # a-invariants: (0, 0, 1, -97, -368) # Cremona label: 665e1 # # # a-invariants: (1, -1, 0, -231, -1315) # Cremona label: 666a1 # # # a-invariants: (1, -1, 0, 153, -4685) # Cremona label: 666b1 # # # a-invariants: (1, -1, 0, 18, 108) # Cremona label: 666c1 # (3,12) (3,-15) (-3,6) (-3,-3) (39/4,231/8) (39/4,-309/8) (37,-243) (37,206) (-213/289,-45804/4913) (-213/289,49425/4913) (-759/1600,652569/64000) (-759/1600,-622209/64000) (-370060449/118940836,6977565084027/1297168757416) (-370060449/118940836,-2941685827233/1297168757416) (84938660992081/32099929862400,-2604235753936704392911/181867930622802432000) (84938660992081/32099929862400,2123000481127090912831/181867930622802432000) # # a-invariants: (1, -1, 0, -1332, 19062) # Cremona label: 666c2 # (19,9) (19,-28) (93,786) (93,-879) (21,-6) (39/4,-705/8) (21,-15) (39/4,627/8) (-21,-183) (1401/64,-2607/512) (771/25,8229/125) (-21,204) (771/25,-12084/125) (1401/64,-8601/512) (41781/1681,1148649/68921) (4503/196,-69411/2744) (-14379/361,-466629/6859) (-14379/361,739830/6859) (41781/1681,-2861670/68921) (4503/196,6369/2744) (-91271/20736,477042533/2985984) (1996579/93025,-414141543/28372625) (1996579/93025,-194815052/28372625) (79051/1849,13979708/79507) (79051/1849,-17378901/79507) (-91271/20736,-463899509/2985984) (127717149/8254129,870885821625/23714112617) (127717149/8254129,-1237817190702/23714112617) # # a-invariants: (1, -1, 1, -26, 57) # Cremona label: 666d1 # (5,-9) (5,3) (3,-1) (3,-3) (-1,9) (-1,-9) (-3,-9) (-3,11) (11/4,-27/8) (11/4,-3/8) (37/9,13/27) (37/9,-151/27) (95,-969) (95,873) (171/25,1129/125) (171/25,-2109/125) (1685/529,-15039/12167) (1685/529,-35883/12167) (153/256,-29803/4096) (153/256,23259/4096) (-11611/2401,1056999/117649) (-11611/2401,-605709/117649) (35563/15129,-7733443/1860867) (35563/15129,1498327/1860867) (13527515/1214404,35495832843/1338273208) (13527515/1214404,-51741427581/1338273208) (979799375/584043889,39438635666769/14114588665463) (979799375/584043889,-77232035827857/14114588665463) # # a-invariants: (1, -1, 1, 13, 1235) # Cremona label: 666e1 # (27,-158) (27,130) (3,-38) (3,34) (-9,-14) (-9,22) (-5,-30) (-5,34) (9,40) (9,-50) (75,610) (75,-686) (171,-2318) (171,2146) (13,52) (13,-66) (-117/49,12046/343) (-117/49,-11570/343) (-249/25,-214/125) (-249/25,1334/125) (27/121,-47650/1331) (27/121,46022/1331) (1483/81,-69614/729) (1483/81,55538/729) (2619/4,131333/8) (2619/4,-136579/8) (41115/961,-9012386/29791) (41115/961,7708030/29791) (-25145/3481,6156426/205379) (-25145/3481,-4878250/205379) (-1039221/142129,1592358386/53582633) (-1039221/142129,-1254154702/53582633) (475437/82369,829550252/23639903) (475437/82369,-989640574/23639903) (32996731/46225,185893516334/9938375) (32996731/46225,-192997751874/9938375) (580783593585/3544535296,-459164223287238431/211027453382656) (580783593585/3544535296,424375663806179215/211027453382656) # # a-invariants: (1, -1, 1, 139, 141) # Cremona label: 666f1 # (-1,0) (11,48) (11,-60) # # a-invariants: (1, -1, 1, -581, 1581) # Cremona label: 666f2 # (-25,12) (23,-12) (11/4,-15/8) # # a-invariants: (1, -1, 1, -5441, -151995) # Cremona label: 666f3 # (-181/4,177/8) # # a-invariants: (1, -1, 1, -7241, 238677) # Cremona label: 666f4 # (203/4,-207/8) # # a-invariants: (1, -1, 1, -1640858, -808607271) # Cremona label: 666g1 # # # a-invariants: (1, 1, 0, -1, -2) # Cremona label: 669a1 # (2,2) (2,-4) (67/36,-769/216) (67/36,367/216) (40946/25,8186266/125) (40946/25,-8390996/125) (100277617/46457856,-1425871703129/316656746496) (100277617/46457856,742379465657/316656746496) # # a-invariants: (1, -1, 0, -524, -8920) # Cremona label: 670a1 # (31,47) (31,-78) (281,-4828) (281,4547) (199/4,2151/8) (199/4,-2549/8) (649/9,-16351/27) (649/9,14404/27) (183439/1369,-80433309/50653) (183439/1369,73646066/50653) (5127281/141376,6322971797/53157376) (5127281/141376,-8250829453/53157376) (35495191/25921,208527475647/4173281) (35495191/25921,-214242201398/4173281) # # a-invariants: (1, 0, 1, 2, 6) # Cremona label: 670b1 # (0,2) (0,-3) (-5/4,11/8) (10,27) (-5/4,-9/8) (2,3) (2,-6) (10,-38) (585/64,-17201/512) (360/169,6954/2197) (-104/81,946/729) (-104/81,-739/729) (360/169,-13831/2197) (585/64,12009/512) (607810/121,470530062/1331) (607810/121,-477217303/1331) (5027/70756,37643523/18821096) (5027/70756,-57801801/18821096) # # a-invariants: (1, 0, 1, -23, -174) # Cremona label: 670b2 # (22,-112) (22,89) (64/9,-277/27) (64/9,58/27) (43/4,-281/8) (43/4,187/8) (22504/225,3205562/3375) (22504/225,-3546497/3375) (8749441/876096,15955524629/820025856) (8749441/876096,-24965027261/820025856) # # a-invariants: (1, -1, 1, -13, 21) # Cremona label: 670c1 # (3,-4) (3,0) (1,2) (1,-4) (-3,-4) (-3,6) (19/9,-16/27) (19/9,-68/27) (27/4,85/8) (27/4,-147/8) (259/25,-4508/125) (259/25,3088/125) (1197/529,-30108/12167) (1197/529,-9590/12167) (-3119/1521,-320306/59319) (-3119/1521,382628/59319) (585601/215296,-50863817/99897344) (585601/215296,-320752391/99897344) (18013683/130321,-79497145984/47045881) (18013683/130321,72947160540/47045881) # # a-invariants: (1, 0, 0, 44, -624) # Cremona label: 670d1 # (8,12) (8,-20) (40,-276) (40,236) (24,-132) (24,108) (10,24) (10,-34) (488,10540) (488,-11028) (1576/225,9556/3375) (1576/225,-33196/3375) (3872/49,-255564/343) (3872/49,228460/343) (13420/841,1386936/24389) (13420/841,-1776116/24389) # # a-invariants: (0, -1, 0, 2, 4) # Cremona label: 672a1 # (-1,0) (0,2) (0,-2) (6,14) (6,-14) (19/9,-98/27) (5/4,21/8) (5/4,-21/8) (19/9,98/27) (-186/361,-10990/6859) (336/25,-5966/125) (-186/361,10990/6859) (336/25,5966/125) (48431/961,-10556364/29791) (-6095/7056,556543/592704) (48431/961,10556364/29791) (-6095/7056,-556543/592704) (5011440/1485961,11126390098/1811386459) (5011440/1485961,-11126390098/1811386459) # # a-invariants: (0, -1, 0, -33, 81) # Cremona label: 672a2 # (3,0) (-3,-12) (5,-4) (-3,12) (5,4) (7,12) (0,9) (0,-9) (7,-12) (69/25,228/125) (69/25,-228/125) (53,380) (53,-380) (-285/49,-2232/343) (-285/49,2232/343) (157/36,-217/216) (157/36,217/216) (5253/2809,-703524/148877) (5253/2809,703524/148877) (7205/529,540388/12167) (7205/529,-540388/12167) (125671/9025,-39547044/857375) (125671/9025,39547044/857375) (342652657/6780816,-6240219195743/17657244864) (342652657/6780816,6240219195743/17657244864) # # a-invariants: (0, 1, 0, 210, 1764) # Cremona label: 672b1 # (-7,0) (0,42) (42,-294) (0,-42) (42,294) (21,126) (21,-126) (21/4,441/8) (21/4,-441/8) (336,-6174) (-6,-18) (336,6174) (-6,18) (-63/16,-1911/64) (105,-1092) (105,1092) (-63/16,1911/64) (112/9,-2170/27) (266/25,-9114/125) (112/9,2170/27) (266/25,9114/125) (-1155/361,224322/6859) (333/4,-6213/8) (-1155/361,-224322/6859) (333/4,6213/8) (-8736/1369,-724878/50653) (66234/121,17067582/1331) (66234/121,-17067582/1331) (-8736/1369,724878/50653) (261849/10816,165408957/1124864) (261849/10816,-165408957/1124864) (14442/14161,-74989914/1685159) (14442/14161,74989914/1685159) (-6013091/864900,-3247179677/804357000) (6048413/841,-14876241870/24389) (6048413/841,14876241870/24389) (-6013091/864900,3247179677/804357000) (-148120604016/26767250449,-94242418875352818/4379309544209543) (-148120604016/26767250449,94242418875352818/4379309544209543) # # a-invariants: (0, 1, 0, -1505, 17199) # Cremona label: 672b2 # (13,0) (175,-2268) (7,-84) (7,84) (175,2268) (-14,189) (-14,-189) (49,252) (49,-252) (31,-36) (-41,-108) (-41,108) (31,36) (133/4,-567/8) (133/4,567/8) (-35,-168) (-35,168) (-161/25,-20412/125) (63,420) (63,-420) (-161/25,20412/125) (337,6156) (10,57) (337,-6156) (10,-57) (1519/121,27972/1331) (2191,-102564) (2191,102564) (1519/121,-27972/1331) (469/169,250992/2197) (1729/16,67977/64) (469/169,-250992/2197) (1729/16,-67977/64) (-1097/49,-68748/343) (11695/289,764316/4913) (11695/289,-764316/4913) (-1097/49,68748/343) (-42182/961,739935/29791) (6769/225,-25172/3375) (-42182/961,-739935/29791) (6769/225,25172/3375) (-76097/2809,29333892/148877) (-76097/2809,-29333892/148877) (125701/1444,40820391/54872) (125701/1444,-40820391/54872) (90776833/165649,-863559418428/67419143) (90776833/165649,863559418428/67419143) (20866383/279841,-84408709860/148035889) (20866383/279841,84408709860/148035889) (5231307060469/727380900,11965730086362447647/19617462873000) (5231307060469/727380900,-11965730086362447647/19617462873000) # # a-invariants: (0, -1, 0, -22, 40) # Cremona label: 672c1 # (2,0) (-5,0) (4,0) # # a-invariants: (0, -1, 0, -112, -392) # Cremona label: 672c2 # (-7,0) # # a-invariants: (0, -1, 0, -337, 2497) # Cremona label: 672c3 # (13,-12) (13,12) (11,0) # # a-invariants: (0, -1, 0, 48, 180) # Cremona label: 672c4 # (-3,0) # # a-invariants: (0, -1, 0, 210, -1764) # Cremona label: 672d1 # (7,0) # # a-invariants: (0, -1, 0, -1505, -17199) # Cremona label: 672d2 # (-13,0) # # a-invariants: (0, -1, 0, -14, 24) # Cremona label: 672e1 # (2,0) (-4,0) (3,0) (10,-28) (10,28) (-1,6) (-1,-6) (5/4,-21/8) (4,-4) (4,4) (5/4,21/8) (-46/25,792/125) (139/9,1540/27) (-46/25,-792/125) (188/121,2520/1331) (57/16,165/64) (188/121,-2520/1331) (57/16,-165/64) (139/9,-1540/27) (10756/49,1112812/343) (-20875/5476,1105293/405224) (10756/49,-1112812/343) (-20875/5476,-1105293/405224) (20979363/2927521,77654151960/5008988431) (20979363/2927521,-77654151960/5008988431) (8154721/1742400,14379464719/2299968000) (8154721/1742400,-14379464719/2299968000) # # a-invariants: (0, -1, 0, -49, -95) # Cremona label: 672e2 # (-5,0) (13,-36) (-3,-4) (-3,4) (13,36) (11,-24) (-11/4,27/8) (11,24) (-11/4,-27/8) (-243/49,412/343) (877,-25956) (877,25956) (-243/49,-412/343) (2305/144,-94105/1728) (-9941/3025,-739152/166375) (-9941/3025,739152/166375) (2305/144,94105/1728) (-389427/152881,155867876/59776471) (-389427/152881,-155867876/59776471) (45124821296641/5100912590400,106575492153693614111/11520513103670208000) (45124821296641/5100912590400,-106575492153693614111/11520513103670208000) # # a-invariants: (0, -1, 0, -224, 1368) # Cremona label: 672e3 # (9,0) (13,-22) (37/4,11/8) (13,22) (37/4,-11/8) (17649/1936,-58335/85184) (3961/225,-171116/3375) (3961/225,171116/3375) (17649/1936,58335/85184) (58950277/268324,-450559014389/138991832) (58950277/268324,450559014389/138991832) # # a-invariants: (0, -1, 0, 16, 84) # Cremona label: 672e4 # (-3,0) (4,-14) (4,14) (-20/9,154/27) (1,-10) (37/4,245/8) (1,10) (-20/9,-154/27) (60,462) (60,-462) (37/4,-245/8) (21844/841,-3212314/24389) (-4556/3481,1578934/205379) (21844/841,3212314/24389) (16333/1089,-2117780/35937) (-4556/3481,-1578934/205379) (-111/400,-71313/8000) (16333/1089,2117780/35937) (-111/400,71313/8000) (149317900/64593369,5873266556234/519136906653) (149317900/64593369,-5873266556234/519136906653) # # a-invariants: (0, 1, 0, -14, -24) # Cremona label: 672f1 # (-3,0) (4,0) (-2,0) (6,-12) (25,126) (6,12) (-11/4,-9/8) (-11/4,9/8) (25,-126) (-20/9,-28/27) (-20/9,28/27) (-3099/1369,-55860/50653) (7492/361,652680/6859) (7492/361,-652680/6859) (-3314/1225,-50616/42875) (-3314/1225,50616/42875) (937/144,24605/1728) (-3099/1369,55860/50653) (937/144,-24605/1728) (-14231099/7107556,2199235887/18948744296) (-14231099/7107556,-2199235887/18948744296) (1943330510881/348713870400,2080846319547052079/205922514748608000) (1943330510881/348713870400,-2080846319547052079/205922514748608000) # # a-invariants: (0, 1, 0, -224, -1368) # Cremona label: 672f2 # (-9,0) (-323/36,-19/216) (27,114) (27,-114) (-323/36,19/216) (1209169/51984,-959065345/11852352) (-15041241/1677025,-168854748/2171747375) (-15041241/1677025,168854748/2171747375) (1209169/51984,959065345/11852352) # # a-invariants: (0, 1, 0, -49, 95) # Cremona label: 672f3 # (-1,-12) (5,0) (-1,12) (-7,-12) (2,-3) (2,3) (7,12) (23,-108) (7,-12) (-7,12) (23,108) (95/49,-1140/343) (61/9,296/27) (101/4,999/8) (101/4,-999/8) (-169/25,1596/125) (-169/25,-1596/125) (61/9,-296/27) (95/49,1140/343) (-2287/1849,990636/79507) (-742/961,-343527/29791) (-742/961,343527/29791) (10663,1101132) (10663,-1101132) (-2287/1849,-990636/79507) (9308021/442225,-27636479856/294079625) (9308021/442225,27636479856/294079625) (1427905/197136,1149790985/87528384) (1427905/197136,-1149790985/87528384) # # a-invariants: (0, 1, 0, 16, -84) # Cremona label: 672f4 # (3,0) (223/9,-3430/27) (21/4,-105/8) (21/4,105/8) (223/9,3430/27) (1023409/176400,1142403823/74088000) (10126227/494209,33443343780/347428927) (10126227/494209,-33443343780/347428927) (1023409/176400,-1142403823/74088000) # # a-invariants: (0, 1, 0, 2, -4) # Cremona label: 672g1 # (1,0) # # a-invariants: (0, 1, 0, -33, -81) # Cremona label: 672g2 # (-3,0) # # a-invariants: (0, 1, 0, -22, -40) # Cremona label: 672h1 # (-2,0) (-4,0) (5,0) # # a-invariants: (0, 1, 0, -337, -2497) # Cremona label: 672h2 # (-11,0) # # a-invariants: (0, 1, 0, -112, 392) # Cremona label: 672h3 # (14,-42) (7,0) (14,42) # # a-invariants: (0, 1, 0, 48, -180) # Cremona label: 672h4 # (3,0) # # a-invariants: (1, 0, 1, 3, 0) # Cremona label: 674a1 # (0,-1) (0,0) (12,36) (12,-49) (85/144,1417/1728) (85/144,-4165/1728) (19716/7225,-4618116/614125) (19716/7225,2328131/614125) (5693640/2699449,11988478285/4435194707) (5693640/2699449,-25778323512/4435194707) # # a-invariants: (1, -1, 1, -6, 5) # Cremona label: 674b1 # (1,-1) (3,-5) (3,1) (-1,3) (-1,-3) (-5/4,25/8) (25/9,13/27) (-5/4,-23/8) (25/9,-115/27) (287/289,-4077/4913) (287/289,-5715/4913) (579,-14213) (579,13633) (30241/9216,1470209/884736) (30241/9216,-5258081/884736) (-15839/21025,8533199/3048625) (-15839/21025,-9285169/3048625) (28097547865/193849929,-4893937320145427/2698972561467) (28097547865/193849929,4500036188659565/2698972561467) # # a-invariants: (1, -1, 1, 14, 21) # Cremona label: 674b2 # (-5/4,1/8) (73/9,-797/27) (1,5) (73/9,551/27) (1,-7) (2713/256,122843/4096) (19/36,995/216) (19/36,-1325/216) (2713/256,-170347/4096) (-814103/670761,537196087/549353259) (-814103/670761,-419798989/549353259) (167329/289,66979765/4913) (167329/289,-69829271/4913) (296078401/193766400,-21547612181009/2697228288000) (296078401/193766400,14728972551089/2697228288000) # # a-invariants: (1, -1, 1, 2064, 18771) # Cremona label: 674c1 # (157,-2127) (157,1969) (29,-335) (29,305) (-3,113) (-3,-111) (-171/25,8557/125) (-171/25,-7827/125) (17,233) (17,-251) (4621/49,334375/343) (4621/49,-367065/343) (19333/9,-2717269/27) (19333/9,2659243/27) (7501/25,-675291/125) (7501/25,637661/125) (40989/14641,-281038215/1771561) (40989/14641,274306985/1771561) (189195907/3129361,3159841008827/5535839609) (189195907/3129361,-3500064407919/5535839609) # # a-invariants: (0, 0, 1, 0, 31) # Cremona label: 675a1 # (5,12) (5,-13) (-1,-6) (-1,5) (-95/36,-883/216) (-95/36,667/216) (251/121,7771/1331) (251/121,-9102/1331) (119705/3481,-41534627/205379) (119705/3481,41329248/205379) (1903249/138384,2615673383/51478848) (1903249/138384,-2667152231/51478848) # # a-invariants: (0, 0, 1, 0, -844) # Cremona label: 675a2 # (10,-13) (10,12) (124,1380) (124,-1381) (198985/12996,-78373297/1481544) (198985/12996,76891753/1481544) # # a-invariants: (0, 0, 1, -750, 7906) # Cremona label: 675a3 # (10,37) (10,-38) (16,1) (16,-2) (65/4,21/8) (65/4,-29/8) (4,70) (4,-71) (310,5437) (310,-5438) (209/16,1145/64) (209/16,-1209/64) (38110/2401,41938/117649) (38110/2401,-159587/117649) (37084/2209,-761401/103823) (37084/2209,657578/103823) (-66335/10404,117778571/1061208) (-66335/10404,-118839779/1061208) (1664056/21025,-2033688671/3048625) (1664056/21025,2030640046/3048625) # # a-invariants: (0, 0, 1, -6750, -213469) # Cremona label: 675a4 # (145,1362) (145,-1363) # # a-invariants: (1, -1, 1, -5, 2) # Cremona label: 675b1 # (0,-2) (0,1) (3,1) (3,-5) (-2,1) (-2,0) (15/4,-61/8) (15/4,23/8) (6/25,-211/125) (6/25,56/125) (115,-1287) (115,1171) (-168/529,-27145/12167) (-168/529,18842/12167) (8073/3136,-605359/175616) (8073/3136,-22345/175616) (-24920/13689,2878318/1601613) (-24920/13689,-1564291/1601613) # # a-invariants: (0, 0, 1, 0, 6) # Cremona label: 675c1 # (0,-3) (0,2) # # a-invariants: (0, 0, 1, 0, -169) # Cremona label: 675c2 # # # a-invariants: (1, -1, 1, -1055, -3428) # Cremona label: 675d1 # # # a-invariants: (0, 0, 1, 0, 781) # Cremona label: 675e1 # # # a-invariants: (0, 0, 1, 0, -21094) # Cremona label: 675e2 # # # a-invariants: (1, -1, 0, -42, -19) # Cremona label: 675f1 # # # a-invariants: (0, 0, 1, -75, 531) # Cremona label: 675g1 # # # a-invariants: (0, 0, 1, -675, -14344) # Cremona label: 675h1 # # # a-invariants: (1, -1, 0, -117, 166) # Cremona label: 675i1 # (-6,-22) (-6,28) (51/4,-251/8) (51/4,149/8) (10/9,148/27) (10/9,-178/27) (25281/1024,-3974321/32768) (25281/1024,3165329/32768) # # a-invariants: (0, 0, 0, -676, -6591) # Cremona label: 676a1 # (-13,0) # # a-invariants: (0, 0, 0, 169, -21970) # Cremona label: 676a2 # (26,0) # # a-invariants: (0, 1, 0, -4, -12) # Cremona label: 676b1 # # # a-invariants: (0, 1, 0, -524, -4796) # Cremona label: 676b2 # # # a-invariants: (0, 1, 0, -732, -23516) # Cremona label: 676c1 # (56,338) (56,-338) # # a-invariants: (0, 1, 0, -88612, -10182444) # Cremona label: 676c2 # # # a-invariants: (0, 0, 0, -169, 845) # Cremona label: 676d1 # # # a-invariants: (0, 0, 0, -28561, 1856465) # Cremona label: 676e1 # # # a-invariants: (1, 1, 1, 2, 0) # Cremona label: 677a1 # (0,-1) (0,0) (5,-16) (5,10) (26/25,-416/125) (26/25,161/125) (495/676,-46385/17576) (495/676,15939/17576) (75010/9801,-26764145/970299) (75010/9801,18367856/970299) # # a-invariants: (1, 1, 0, -12, 12) # Cremona label: 678a1 # (2,0) (2,-2) (1,-2) (1,1) (-4,6) (-4,-2) (13/9,-5/27) (13/9,-34/27) (74/25,-642/125) (74/25,272/125) (277/16,4135/64) (277/16,-5243/64) (4106/2401,-57296/117649) (4106/2401,-143898/117649) (-1571/7569,2578919/658503) (-1571/7569,-2442242/658503) (-165028/116281,240523670/39651821) (-165028/116281,-184249122/39651821) (-11884961035583/4501818819001,68297717706276882797/9551729577396552749) (-11884961035583/4501818819001,-43080813513989688130/9551729577396552749) # # a-invariants: (1, 0, 1, 6, -20) # Cremona label: 678b1 # (5,9) (5,-15) (2,0) (2,-3) (13,-55) (13,41) (38,216) (38,-255) (317/121,-7893/1331) (317/121,3075/1331) (445/144,-13345/1728) (445/144,6277/1728) (48341/625,10039161/15625) (48341/625,-11263311/15625) # # a-invariants: (1, 1, 1, -148, -427) # Cremona label: 678c1 # (-3,1) (-7,-15) (29,129) (-7,21) (29,-159) (13,1) (-11,9) (-11,1) (13,-15) (-139/25,-1731/125) (-139/25,2301/125) (47,291) (47,-339) (573,13441) (-29/9,173/27) (573,-14015) (-29/9,-113/27) (-7147/841,516165/24389) (-7147/841,-333291/24389) (5861/289,-414543/4913) (5861/289,309993/4913) (17641/1225,800031/42875) (17641/1225,-1460341/42875) (26342473/184041,129606387665/78953589) (26342473/184041,-140986262171/78953589) # # a-invariants: (1, 1, 1, 492, -2475) # Cremona label: 678c2 # (19/4,-23/8) (33,-243) (25,149) (25,-175) (33,209) (2293,108689) (2293,-110983) (5,-15) (5,9) (1111/25,-44231/125) (939/49,-44703/343) (1111/25,38551/125) (939/49,37787/343) (117727/20449,-81080771/2924207) (5155/9,363053/27) (117727/20449,61321603/2924207) (5155/9,-378545/27) (3592765/243049,9976514765/119823157) (3592765/243049,-11867571067/119823157) # # a-invariants: (1, 0, 0, -1661, 26097) # Cremona label: 678d1 # (-14,-209) (22,-29) (34,-113) (22,7) (34,79) (-14,223) # # a-invariants: (1, 0, 0, -7121, -2567403) # Cremona label: 678d2 # # # a-invariants: (1, 0, 0, -192, 1008) # Cremona label: 678e1 # (6,-12) (8,-4) (6,6) # # a-invariants: (1, 0, 0, -212, 780) # Cremona label: 678e2 # (12,-6) (4,-2) (-65/4,65/8) # # a-invariants: (1, 0, 0, -1342, -18430) # Cremona label: 678e3 # (-97/4,97/8) # # a-invariants: (1, 0, 0, 598, 5478) # Cremona label: 678e4 # (-33/4,33/8) # # a-invariants: (1, 0, 0, -190, -1024) # Cremona label: 678f1 # (-8,4) # # a-invariants: (1, 0, 0, -180, -1134) # Cremona label: 678f2 # (63/4,-63/8) # # a-invariants: (0, 0, 0, -143, 658) # Cremona label: 680a1 # (9,-10) (7,0) (9,10) (6,4) (61/9,-10/27) (-11,30) (3,16) (61/9,10/27) (3,-16) (6,-4) (-11,-30) (457/64,507/512) (2121/289,9590/4913) (319/9,5408/27) (319/9,-5408/27) (2121/289,-9590/4913) (921/49,23290/343) (457/64,-507/512) (921/49,-23290/343) (6229/43681,230524290/9129329) (961021/149769,-124495030/57960603) (6229/43681,-230524290/9129329) (961021/149769,124495030/57960603) (470259/70225,15488848/18609625) (470259/70225,-15488848/18609625) (726419617/65804544,-11000056690063/533806460928) (726419617/65804544,11000056690063/533806460928) # # a-invariants: (0, 0, 0, -163, 462) # Cremona label: 680a2 # (11,0) (-14,0) (3,0) (2,-12) (139,1632) (2,12) (-101/9,-800/27) (201/16,-1275/64) (139,-1632) (-101/9,800/27) (201/16,1275/64) (20497/576,2755207/13824) (20497/576,-2755207/13824) (270971/14161,-111134400/1685159) (-155054/28561,166290600/4826809) (270971/14161,111134400/1685159) (-155054/28561,-166290600/4826809) (-2883148421/6542059689,-12224770766812000/529141413825387) (-2883148421/6542059689,12224770766812000/529141413825387) # # a-invariants: (0, 0, 0, -1163, -14938) # Cremona label: 680a3 # (-22,0) (46,170) (-71/4,85/8) (46,-170) (-71/4,-85/8) (-182/9,-476/27) (-182/9,476/27) (2249/16,103173/64) (2249/16,-103173/64) (356613217/8156736,-3106639927313/23295638016) (356613217/8156736,3106639927313/23295638016) # # a-invariants: (0, 0, 0, 517, 3318) # Cremona label: 680a4 # (-6,0) (-239/144,-85625/1728) (138,1644) (138,-1644) (-239/144,85625/1728) (4330126074/404452321,816650623335000/8133940627631) (4330126074/404452321,-816650623335000/8133940627631) # # a-invariants: (0, -1, 0, 0, -20) # Cremona label: 680b1 # # # a-invariants: (0, -1, 0, -3540, -79900) # Cremona label: 680c1 # (-34,0) # # a-invariants: (0, -1, 0, -3520, -80868) # Cremona label: 680c2 # (69,0) # # a-invariants: (0, -1, 1, -13, 24) # Cremona label: 681a1 # (4,-5) (4,4) (2,-2) (2,1) (-11/4,41/8) (-11/4,-49/8) (-2/9,-154/27) (-2/9,127/27) (904/361,3856/6859) (904/361,-10715/6859) (3329/400,160583/8000) (3329/400,-168583/8000) (184864/8281,76328104/753571) (184864/8281,-77081675/753571) # # a-invariants: (1, 1, 0, -1154, -15345) # Cremona label: 681b1 # (-18,9) (155/4,-155/8) (-22,11) # # a-invariants: (1, 1, 0, -1149, -15480) # Cremona label: 681b2 # (-20,10) # # a-invariants: (1, 1, 0, -2369, 20862) # Cremona label: 681b3 # (-14,-220) (-14,234) (171/4,-171/8) # # a-invariants: (1, 1, 0, -19, -42812) # Cremona label: 681b4 # (139/4,-139/8) # # a-invariants: (0, -1, 1, 0, 2) # Cremona label: 681c1 # (0,1) (0,-2) (3,-5) (3,4) (1,-2) (1,1) (-1,0) (-1,-1) (2,-3) (2,2) (6,-14) (6,13) (-3/4,-13/8) (-3/4,5/8) (9,25) (9,-26) (5/4,-17/8) (5/4,9/8) (14,50) (14,-51) (4/9,26/27) (4/9,-53/27) (9/16,61/64) (9/16,-125/64) (-8/9,-37/27) (-8/9,10/27) (45,-299) (45,298) (28,145) (28,-146) (-6/25,122/125) (-6/25,-247/125) (-11/25,-238/125) (-11/25,113/125) (39/49,-671/343) (39/49,328/343) (-27/49,-629/343) (-27/49,286/343) (153/64,-1891/512) (153/64,1379/512) (155,-1924) (155,1923) (180/121,1763/1331) (180/121,-3094/1331) (133/81,-1819/729) (133/81,1090/729) (35/169,2172/2197) (35/169,-4369/2197) (575/169,10947/2197) (575/169,-13144/2197) (-546/529,-9634/12167) (-546/529,-2533/12167) (649/144,-15677/1728) (649/144,13949/1728) (712/289,-18850/4913) (712/289,13937/4913) (1404/361,43066/6859) (1404/361,-49925/6859) (1131/625,-42404/15625) (1131/625,26779/15625) (989/196,26781/2744) (989/196,-29525/2744) (231/961,-59144/29791) (231/961,29353/29791) (-550/841,18097/24389) (-550/841,-42486/24389) (2562/1849,-177242/79507) (2562/1849,97735/79507) (5226/25,-376951/125) (5226/25,376826/125) (-3636/3481,-131254/205379) (-3636/3481,-74125/205379) (9309/484,869323/10648) (9309/484,-879971/10648) (-2831/2704,-59201/140608) (-2831/2704,-81407/140608) (-1333/3721,-440508/226981) (-1333/3721,213527/226981) (4526/5929,435217/456533) (4526/5929,-891750/456533) (-3715/17956,2364429/2406104) (-3715/17956,-4770533/2406104) (66063/961,-16870991/29791) (66063/961,16841200/29791) (176328/289,73979486/4913) (176328/289,-73984399/4913) (-7463/61504,15168893/15252992) (-7463/61504,-30421885/15252992) (168121/19881,-66267899/2803221) (168121/19881,63464678/2803221) (46934/130321,-92778075/47045881) (46934/130321,45732194/47045881) (578269/378225,318015622/232608375) (578269/378225,-550623997/232608375) (-1047735/1290496,773263163/1466003456) (-1047735/1290496,-2239266619/1466003456) (-1425982/1968409,1822004599/2761677827) (-1425982/1968409,-4583682426/2761677827) (6624016/3080025,-17576999389/5405443875) (6624016/3080025,12171555514/5405443875) (-3154772/5433561,10264317715/12665630691) (-3154772/5433561,-22929948406/12665630691) (12176896/4558225,-41509669006/9731810375) (12176896/4558225,31777858631/9731810375) (93764385/34000561,-882625648057/198257271191) (93764385/34000561,684368376866/198257271191) (109555149/49420900,822950763493/347428927000) (109555149/49420900,-1170379690493/347428927000) (167689305/75759616,-2217399964253/659411697664) (167689305/75759616,1557988266589/659411697664) (594635769/23775376,-14266473590501/115928733376) (594635769/23775376,14150544857125/115928733376) # # a-invariants: (0, 1, 1, -431, -3592) # Cremona label: 681d1 # # # a-invariants: (0, 1, 1, -179, 881) # Cremona label: 681e1 # (7,-5) (7,4) (-11,40) (-11,-41) (37/4,77/8) (37/4,-85/8) (25,-113) (25,112) (3,19) (3,-20) (49/16,1201/64) (49/16,-1265/64) (1243/49,-39740/343) (1243/49,39397/343) (5761/625,-163616/15625) (5761/625,147991/15625) (-5387/484,-433715/10648) (-5387/484,423067/10648) (10669/1521,-294904/59319) (10669/1521,235585/59319) (384703,238610155) (384703,-238610156) (-41033153/3775249,-302614225492/7335308807) (-41033153/3775249,295278916685/7335308807) (918723477/37283236,-25093757503211/227651439016) (918723477/37283236,24866106064195/227651439016) # # a-invariants: (1, 0, 0, -33, 73) # Cremona label: 682a1 # (2,3) (2,-5) (6,-13) (-6,11) (-6,-5) (6,7) (4,1) (4,-5) (-2/9,245/27) (-2/9,-239/27) (74/25,-417/125) (32,-195) (32,163) (74/25,47/125) (2466/169,99215/2197) (639/196,55/2744) (-734/361,-72047/6859) (-734/361,85993/6859) (2466/169,-131273/2197) (639/196,-9001/2744) (-87904/21025,42734509/3048625) (471178/131769,9141905/47832147) (471178/131769,-180179519/47832147) (-87904/21025,-29988429/3048625) # # a-invariants: (1, 0, 0, 167, 225) # Cremona label: 682a2 # (4,-33) (4,29) (0,15) (128,-1521) (128,1393) (47/4,-543/8) (47/4,449/8) (0,-15) (6916/225,-679981/3375) (68356/2209,-21102669/103823) (-5471/4096,162641/262144) (68356/2209,17889937/103823) (6916/225,576241/3375) (-5471/4096,187503/262144) (141324975/11957764,2332811507265/41349947912) (141324975/11957764,-2821513270815/41349947912) # # a-invariants: (1, 0, 0, -2003, -39269) # Cremona label: 682a3 # (527/4,-11807/8) (527/4,10753/8) (106567561249/2035814400,-2562570078287983/91855945728000) (106567561249/2035814400,-2245758285266897/91855945728000) # # a-invariants: (1, -1, 1, 359, -6663) # Cremona label: 682b1 # (15,36) (15,-52) (103,1004) (103,-1108) (39,-276) (39,236) (223/9,3172/27) (223/9,-3868/27) (279,4524) (279,-4804) (13,2) (13,-16) (675,-17872) (675,17196) (4519/225,-344108/3375) (4519/225,272948/3375) (8895/169,-926628/2197) (8895/169,808796/2197) (194287/2809,-92731652/148877) (194287/2809,82285564/148877) (307311/17689,-181176388/2352637) (307311/17689,137951388/2352637) (177307/81,73851884/729) (177307/81,-75448376/729) # # a-invariants: (0, 0, 0, -192, 1028) # Cremona label: 684a1 # (4,18) (4,-18) (8,2) (8,-2) (13,27) (13,-27) (-16,-2) (-16,2) (316/25,-3114/125) (316/25,3114/125) (289/36,433/216) (289/36,-433/216) (3148/841,-463878/24389) (3148/841,463878/24389) (20768,2992898) (20768,-2992898) # # a-invariants: (0, 0, 0, 24, -511) # Cremona label: 684b1 # (7,0) (10,-27) (64,513) (10,27) (64,-513) (26,133) (26,-133) (16,63) (16,-63) (199,-2808) (199,2808) (505/64,-6669/512) (505/64,6669/512) (8554/25,791217/125) (368/49,-3305/343) (8554/25,-791217/125) (368/49,3305/343) (115834/3721,39577383/226981) (115834/3721,-39577383/226981) (2149729/43264,-3160665711/8998912) (2149729/43264,3160665711/8998912) # # a-invariants: (0, 0, 0, -831, -8890) # Cremona label: 684b2 # (-14,0) (67,-486) (-17,18) (-17,-18) (67,486) (35,-70) (-929/49,2430/343) (35,70) (-929/49,-2430/343) (-2558/169,-32616/2197) (12793/64,-1431027/512) (12793/64,1431027/512) (-2558/169,32616/2197) (419771/1225,270974306/42875) (419771/1225,-270974306/42875) # # a-invariants: (0, 0, 0, 24, -268) # Cremona label: 684c1 # # # a-invariants: (1, -1, 0, -5, 6) # Cremona label: 685a1 # (2,0) (2,-2) (3/4,-15/8) (3/4,9/8) (-46/25,-202/125) (-46/25,432/125) (3313/2304,-26159/110592) (3313/2304,-132865/110592) (286322/67081,-158393808/17373979) (286322/67081,84236410/17373979) # # a-invariants: (0, 0, 0, 4, -4) # Cremona label: 688a1 # (1,-1) (1,1) (41/4,-267/8) (41/4,267/8) (3505/1369,243047/50653) (3505/1369,-243047/50653) # # a-invariants: (0, -1, 0, -13, -15) # Cremona label: 688b1 # # # a-invariants: (0, -1, 0, 67, -79) # Cremona label: 688b2 # # # a-invariants: (0, -1, 0, -5, -19) # Cremona label: 688c1 # (4,3) (4,-3) (973/36,-29663/216) (973/36,29663/216) # # a-invariants: (1, 0, 0, -14, 19) # Cremona label: 689a1 # (2,-1) (3,1) (3,-4) (1,-3) (1,2) (54/25,-143/125) (54/25,-127/125) (-17/4,-3/8) (-17/4,37/8) (1723/441,30701/9261) (1723/441,-66884/9261) (1241/841,17338/24389) (1241/841,-53327/24389) (423681/6400,-292813769/512000) (423681/6400,258919289/512000) # # a-invariants: (1, 0, 0, -9, 34) # Cremona label: 689a2 # (-17/4,17/8) (9,22) (-1,-6) (-1,7) (9,-31) (2,-6) (66/25,-854/125) (2,4) (66/25,524/125) (-89/49,2617/343) (121/9,-1501/27) (121/9,1138/27) (-89/49,-1994/343) (16953/64,2140433/512) (-409/100,4609/1000) (-409/100,-519/1000) (16953/64,-2276057/512) (-8049/34969,40027357/6539203) (-8049/34969,-38522194/6539203) (1254562/370881,1135200436/225866529) (1254562/370881,-1899228694/225866529) # # a-invariants: (1, 1, 0, 172, -1968) # Cremona label: 690a1 # (8,-4) (136,1532) (11,32) (11,-43) (136,-1668) (33,-219) (584/25,14092/125) (33,186) (584/25,-17012/125) (35699/484,6498011/10648) (35699/484,-7283389/10648) (1370281/164025,506236481/66430125) (1370281/164025,-1061200286/66430125) # # a-invariants: (1, 1, 0, -1748, -25392) # Cremona label: 690a2 # (-69/4,69/8) (139,1493) (139,-1632) (-23,-46) (-23,69) (1209/25,-12783/125) (-203021/6561,16883288/531441) (1209/25,6738/125) (-203021/6561,-438587/531441) # # a-invariants: (1, 1, 0, 167, -347) # Cremona label: 690b1 # (2,-1) # # a-invariants: (1, 1, 0, -753, -3843) # Cremona label: 690b2 # (-21/4,21/8) # # a-invariants: (1, 1, 0, -22777, -90852059) # Cremona label: 690c1 # (466,-233) # # a-invariants: (1, 1, 0, -3172057, -2148591611) # Cremona label: 690c2 # (-3733/4,3733/8) # # a-invariants: (1, 1, 0, -12, -36) # Cremona label: 690d1 # (4,-2) # # a-invariants: (1, 1, 0, -242, -1554) # Cremona label: 690d2 # (-37/4,37/8) # # a-invariants: (1, 0, 1, -604, -5734) # Cremona label: 690e1 # (-15,7) (-14,11) (49,-313) (49,263) (-14,2) (-671/49,3233/343) (34,-133) (34,98) (-671/49,1121/343) (-3815/256,18587/4096) (16009/25,-2064533/125) (-3815/256,38357/4096) (16009/25,1984363/125) (517906/5929,-376722569/456533) (517906/5929,336387274/456533) (-8723159/606841,5416893349/472729139) (-8723159/606841,905718373/472729139) # # a-invariants: (1, 0, 1, -924, 922) # Cremona label: 690e2 # (-31,15) (119/4,-123/8) (1,-1) (-22,-93) (-4,69) (185,2391) (-4,-66) (185,-2577) (41,-201) (41,159) (-22,114) (-7,87) (116,-1266) (-871/49,40137/343) (116,1149) (50,-309) (50,258) (-7,-81) (-871/49,-34383/343) (761/25,2451/125) (761/25,-6381/125) (-121/4,417/8) (41/64,-9735/512) (41/64,8895/512) (-121/4,-183/8) (2561,-130881) (2561,128319) (41636/121,8236119/1331) (-43399/1681,-5201601/68921) (1730/49,-44787/343) (41636/121,-8695446/1331) (-607/361,343293/6859) (-43399/1681,6912039/68921) (-607/361,-338619/6859) (1730/49,32334/343) (61801/961,12631169/29791) (-20582/1521,-5846027/59319) (61801/961,-14576791/29791) (-20582/1521,6589406/59319) (-1795471/4092529,299312951433/8279186167) (4098929/6400,-8455116543/512000) (4098929/6400,8126690223/512000) (-1795471/4092529,-303959899767/8279186167) (316536389570/3597960289,-177125460278044683/215816452015087) (316536389570/3597960289,157922841570452286/215816452015087) # # a-invariants: (1, 0, 1, -10644, 420826) # Cremona label: 690e3 # (247/4,-251/8) (-82,903) (56,6) (-82,-822) (56,-63) (68,-147) (194,2283) (194,-2478) (68,78) (155/4,-2229/8) (155/4,1911/8) (413/16,-26733/64) (413/16,25017/64) (74,162) (74,-237) (6332/49,-399246/343) (6332/49,354579/343) (9142/169,80066/2197) (9142/169,-201109/2197) (-416/9,-23758/27) (-416/9,24979/27) (10247/4,1026249/8) (99329/1600,-3115197/64000) (10247/4,-1046751/8) (99329/1600,-921963/64000) (-243376/2209,-47185782/103823) (-243376/2209,58520631/103823) (71044268/203401,559342218903/91733851) (71044268/203401,-591474917622/91733851) (1143146/17689,-224734089/2352637) (1143146/17689,70343034/2352637) (530502053/11316496,5161020957957/38068692544) (530502053/11316496,-6983698556793/38068692544) # # a-invariants: (1, 0, 1, 3676, 8282) # Cremona label: 690e4 # (-9/4,5/8) (180,2461) (180,-2642) (18,-293) (18,274) (1530/49,128974/343) (1530/49,-140027/343) (108,-1346) (108,1237) (-81/100,72733/1000) (-81/100,-72923/1000) (163881/64,65708735/512) (163881/64,-67020295/512) (699210/82369,4622960894/23639903) (14913468/43681,-60083636674/9129329) (14913468/43681,56957592533/9129329) (699210/82369,-4847274067/23639903) (72758338/1461681,947340480386/1767172329) (72758338/1461681,-1037072483357/1767172329) (16737302601441/26192185600,67439868452206945241/4238943317504000) (16737302601441/26192185600,-70152872448541660681/4238943317504000) # # a-invariants: (1, 0, 1, -13, 8) # Cremona label: 690f1 # (3,-2) # # a-invariants: (1, 0, 1, -93, -344) # Cremona label: 690f2 # (11,-6) (-25/4,21/8) (-5,2) # # a-invariants: (1, 0, 1, -1473, -21872) # Cremona label: 690f3 # (-89/4,85/8) # # a-invariants: (1, 0, 1, 7, -1024) # Cremona label: 690f4 # (27,-152) (39/4,-43/8) (27,124) # # a-invariants: (1, 1, 1, -4491, -207687) # Cremona label: 690g1 # (83,-42) (211,2774) (211,-2986) # # a-invariants: (1, 1, 1, -86411, -9808711) # Cremona label: 690g2 # (-173,86) (339,-170) (-669/4,665/8) # # a-invariants: (1, 1, 1, -1382411, -626186311) # Cremona label: 690g3 # (-2717/4,2713/8) # # a-invariants: (1, 1, 1, -101131, -6258247) # Cremona label: 690g4 # (1379/4,-1383/8) # # a-invariants: (1, 1, 1, 4, 29) # Cremona label: 690h1 # (-3,1) (9,-35) (9,25) (-1,5) (-1,-5) (1,5) (1,-7) (3,-11) (3,7) (29,-175) (-9/4,35/8) (29,145) (-9/4,-25/8) (-23/9,103/27) (51,343) (-23/9,-61/27) (51,-395) (81/169,10765/2197) (191/49,2995/343) (191/49,-4675/343) (81/169,-14015/2197) (-339/625,-84791/15625) (433/64,8587/512) (-339/625,77641/15625) (433/64,-12563/512) (-14881/5041,-31885/357911) (60129/121,14431655/1331) (60129/121,-15094405/1331) (-14881/5041,730525/357911) (186937/15129,74102063/1860867) (186937/15129,-98956181/1860867) (-54420239/28826161,-596633655155/154767658409) (-54420239/28826161,734048259937/154767658409) (9003473951/80874049,818407596013285/727300322657) (9003473951/80874049,-900103137577285/727300322657) (-434352959/28628640000,23782049235743561/4843965888000000) (-434352959/28628640000,-28552522603080761/4843965888000000) # # a-invariants: (1, 1, 1, -116, 413) # Cremona label: 690h2 # (19/4,-23/8) (11,19) (-1,23) (11,-31) (-1,-23) (7,-1) (-101/9,713/27) (7,-7) (-101/9,-437/27) (53/16,437/64) (53/16,-713/64) (119/4,1127/8) (119/4,-1373/8) (463/9,9173/27) (6691/1681,244099/68921) (463/9,-10589/27) (6691/1681,-587351/68921) (61091/8281,1019299/753571) (-31081/3481,-5111083/205379) (61091/8281,-7332151/753571) (-31081/3481,6739483/205379) (-2350349/715716,17499907259/605495736) (368929/40000,-164544683/8000000) (368929/40000,82758883/8000000) (-2350349/715716,-16117007741/605495736) (303139571/609961,5164729254229/476379541) (303139571/609961,-5401957638721/476379541) # # a-invariants: (1, 0, 0, 134, -604) # Cremona label: 690i1 # (4,-2) # # a-invariants: (1, 0, 0, -786, -5940) # Cremona label: 690i2 # (-33/4,33/8) # # a-invariants: (1, 0, 0, -245, -1503) # Cremona label: 690j1 # (18,-9) # # a-invariants: (1, 0, 0, -3925, -94975) # Cremona label: 690j2 # (-145/4,145/8) # # a-invariants: (1, 0, 0, -420, 3600) # Cremona label: 690k1 # (0,60) (12,-24) (-24,12) (12,12) (0,-60) (30,-150) (30,120) # # a-invariants: (1, 0, 0, -6900, 220032) # Cremona label: 690k2 # (-96,48) (54,48) (54,-102) (48,-24) (191/4,-191/8) (42,-90) (42,48) # # a-invariants: (1, 0, 0, -7080, 207900) # Cremona label: 690k3 # (60,-30) (-385/4,385/8) (36,-18) # # a-invariants: (1, 0, 0, -110400, 14109732) # Cremona label: 690k4 # (192,-102) (767/4,-767/8) (192,-90) # # a-invariants: (1, 0, 0, -25830, -1370850) # Cremona label: 690k5 # (-481/4,481/8) # # a-invariants: (1, 0, 0, 8790, 1010922) # Cremona label: 690k6 # (-289/4,289/8) # # a-invariants: (0, 1, 0, -52, 180) # Cremona label: 692a1 # (-9,0) # # a-invariants: (0, 1, 0, -57, 148) # Cremona label: 692a2 # (4,0) # # a-invariants: (1, -1, 1, 31, -264) # Cremona label: 693a1 # (5,-3) # # a-invariants: (1, -1, 1, -464, -3432) # Cremona label: 693a2 # (-37/4,33/8) # # a-invariants: (0, 0, 1, 18, -7) # Cremona label: 693b1 # (1,3) (1,-4) (7,-22) (7,21) (337/36,6661/216) (337/36,-6877/216) (1339/1849,165506/79507) (1339/1849,-245013/79507) (3500029/7225,-6548539792/614125) (3500029/7225,6547925667/614125) # # a-invariants: (0, 0, 1, -804, -8775) # Cremona label: 693c1 # # # a-invariants: (0, 0, 1, -444, -16650) # Cremona label: 693c2 # (48,269) (48,-270) # # a-invariants: (0, 0, 1, 3966, 430965) # Cremona label: 693c3 # (3,-666) (3,665) # # a-invariants: (1, -1, 0, -306, -1985) # Cremona label: 693d1 # (-10,5) # # a-invariants: (1, -1, 0, -351, -1328) # Cremona label: 693d2 # (83/4,-83/8) (-16,8) (-4,2) # # a-invariants: (1, -1, 0, -2556, 49387) # Cremona label: 693d3 # (131/4,-131/8) (26,-13) (-58,29) # # a-invariants: (1, -1, 0, 1134, -10535) # Cremona label: 693d4 # (35/4,-35/8) # # a-invariants: (1, -1, 0, -40671, 3167194) # Cremona label: 693d5 # (467/4,-467/8) # # a-invariants: (1, -1, 0, 279, 150880) # Cremona label: 693d6 # (-205/4,205/8) # # a-invariants: (0, -1, 0, -88, 349) # Cremona label: 696a1 # (6,1) (6,-1) (5,-3) (5,3) (-6,25) (-6,-25) (205/36,-73/216) (205/36,73/216) (1026/121,-15781/1331) (1026/121,15781/1331) (8381/625,-584721/15625) (8381/625,584721/15625) # # a-invariants: (0, 1, 0, 8, -16) # Cremona label: 696b1 # # # a-invariants: (0, 1, 0, 12, 9) # Cremona label: 696c1 # (0,3) (0,-3) (3,9) (3,-9) (12,45) (12,-45) (-3/4,-3/8) (-3/4,3/8) (20,93) (20,-93) (51/25,849/125) (51/25,-849/125) (120/289,18531/4913) (120/289,-18531/4913) (4233/16,275949/64) (4233/16,-275949/64) (37267/8649,10151137/804357) (37267/8649,-10151137/804357) (594350940/15311569,-14733280257669/59914169497) (594350940/15311569,14733280257669/59914169497) (1593134907/1225210009,228919847723907/42886025945027) (1593134907/1225210009,-228919847723907/42886025945027) # # a-invariants: (0, -1, 0, -5920, 177388) # Cremona label: 696d1 # # # a-invariants: (0, -1, 0, -36, -87) # Cremona label: 696e1 # # # a-invariants: (0, -1, 0, 56, -1415) # Cremona label: 696f1 # (12,-29) (12,29) (41,-261) (41,261) (48,-331) (48,331) (3685/324,138475/5832) (3685/324,-138475/5832) (346152/49,-203643133/343) (346152/49,203643133/343) # # a-invariants: (0, 1, 0, -4, 5) # Cremona label: 696g1 # (2,-3) (2,3) (-1,3) (-1,-3) (-2,3) (-2,-3) (5/4,15/8) (5/4,-15/8) (38,-237) (38,237) (31/9,-179/27) (31/9,179/27) (-22/169,5169/2197) (-22/169,-5169/2197) (-1111/400,12387/8000) (-1111/400,-12387/8000) (1642/2401,205533/117649) (1642/2401,-205533/117649) (14515798498/3558480409,-1816166899338711/212274031838077) (14515798498/3558480409,1816166899338711/212274031838077) # # a-invariants: (0, 1, 1, -10, -17) # Cremona label: 699a1 # # # a-invariants: (0, -1, 0, -133, -2863) # Cremona label: 700a1 # # # a-invariants: (0, -1, 0, -20133, -1092863) # Cremona label: 700a2 # # # a-invariants: (0, -1, 0, 2, -3) # Cremona label: 700b1 # # # a-invariants: (0, -1, 0, -98, -343) # Cremona label: 700b2 # # # a-invariants: (0, 0, 0, -5, 5) # Cremona label: 700c1 # (1,-1) (1,1) (-1,3) (-1,-3) (4,-7) (4,7) (19/9,53/27) (19/9,-53/27) (-59/25,239/125) (-59/25,-239/125) (281/196,-2421/2744) (281/196,2421/2744) (4741/289,-323581/4913) (4741/289,323581/4913) (8179/25281,7429607/4019679) (8179/25281,-7429607/4019679) # # a-invariants: (0, 0, 0, 800, 26500) # Cremona label: 700d1 # (180,-2450) (180,2450) (40,-350) (40,350) (5,175) (5,-175) (-16,98) (-16,-98) (-20,-50) (-20,50) (-15/4,1225/8) (-15/4,-1225/8) (220/9,6650/27) (220/9,-6650/27) (96,994) (96,-994) (1405,-52675) (1405,52675) (440,-9250) (440,9250) (10820/169,1281350/2197) (10820/169,-1281350/2197) (241/16,-13111/64) (241/16,13111/64) (-8220/841,-3249050/24389) (-8220/841,3249050/24389) (-68840/3249,-1134350/185193) (-68840/3249,1134350/185193) (-5955/529,1542275/12167) (-5955/529,-1542275/12167) (64384/5041,70501298/357911) (64384/5041,-70501298/357911) (2020220/34969,3369656150/6539203) (2020220/34969,-3369656150/6539203) (2594465/7396,-4193834225/636056) (2594465/7396,4193834225/636056) (3707856/34225,7450722254/6331625) (3707856/34225,-7450722254/6331625) # # a-invariants: (0, 0, 0, -2000, -34375) # Cremona label: 700e1 # (-25,0) (-26,7) (-26,-7) (100,-875) (100,875) (-2150/81,2375/729) (56,-171) (-2150/81,-2375/729) (56,171) (-42509/1681,375914/68921) (-42509/1681,-375914/68921) (198025/484,-87570875/10648) (198025/484,87570875/10648) (10444624/29241,33476638193/5000211) (10444624/29241,-33476638193/5000211) # # a-invariants: (0, 0, 0, -1375, -56250) # Cremona label: 700e2 # (50,0) (99,-882) (175,-2250) (175,2250) (99,882) (4411/81,-127034/729) (514175/361,368565750/6859) (4411/81,127034/729) (514175/361,-368565750/6859) (332645769/813604,-6039475008147/733870808) (332645769/813604,6039475008147/733870808) # # a-invariants: (0, 0, 0, -125, 625) # Cremona label: 700f1 # (0,-25) (0,25) (25/4,-75/8) (25/4,75/8) (24,-107) (24,107) (-1775/144,29575/1728) (-1775/144,-29575/1728) (64200/5041,11863525/357911) (64200/5041,-11863525/357911) (95165359825/806105664,-29231103568905575/22886952012288) (95165359825/806105664,29231103568905575/22886952012288) # # a-invariants: (0, 0, 0, -40, 100) # Cremona label: 700g1 # (0,-10) (0,10) (4,2) (4,-2) (5,-5) (5,5) (-4,-14) (-4,14) (40,-250) (40,250) (9/4,-37/8) (9/4,37/8) (280/81,-1270/729) (280/81,1270/729) (396/49,-5986/343) (396/49,5986/343) (-875/121,4435/1331) (-875/121,-4435/1331) (6644/625,462478/15625) (6644/625,-462478/15625) (59041/21904,-11119759/3241792) (59041/21904,11119759/3241792) (3383280/152881,-5993436230/59776471) (3383280/152881,5993436230/59776471) # # a-invariants: (0, 0, 0, -80, -275) # Cremona label: 700h1 # (-5,0) # # a-invariants: (0, 0, 0, -55, -450) # Cremona label: 700h2 # (10,0) # # a-invariants: (0, 1, 0, 42, -287) # Cremona label: 700i1 # (8,-25) (8,25) # # a-invariants: (0, 1, 0, -2458, -47787) # Cremona label: 700i2 # # # a-invariants: (0, 0, 0, -1000, 12500) # Cremona label: 700j1 # # # a-invariants: (0, -1, 1, -2, 1) # Cremona label: 701a1 # # # a-invariants: (1, -1, 0, -9, -19) # Cremona label: 702a1 # (5,-9) (5,4) (11,28) (11,-39) (1051/36,-36589/216) (1051/36,30283/216) (18515/4489,-279213/300763) (18515/4489,-961292/300763) # # a-invariants: (1, -1, 0, -3, -1) # Cremona label: 702b1 # (-1,0) (-1,1) (5,-12) (5,7) (-17/36,133/216) (-17/36,-31/216) (821/361,-6107/6859) (821/361,-9492/6859) (6063265/968256,-16334034163/952763904) (6063265/968256,10367781403/952763904) # # a-invariants: (1, -1, 0, 39, 35) # Cremona label: 702c1 # # # a-invariants: (1, -1, 0, -366, -2476) # Cremona label: 702d1 # # # a-invariants: (1, -1, 0, -5826, 173076) # Cremona label: 702e1 # (37,-103) (37,66) # # a-invariants: (1, -1, 0, 11919, 881693) # Cremona label: 702e2 # # # a-invariants: (1, -1, 0, -472266, 125037036) # Cremona label: 702e3 # (397,-199) (397,-198) # # a-invariants: (1, -1, 0, -648, 9536) # Cremona label: 702f1 # # # a-invariants: (1, -1, 0, -165, 533) # Cremona label: 702g1 # # # a-invariants: (1, -1, 0, -132, 618) # Cremona label: 702h1 # (7,-4) (7,-3) (7/4,-165/8) (337/49,-1170/343) (49/9,94/27) (337/49,-1189/343) (7/4,151/8) (49/9,-241/27) (758983/17689,583283177/2352637) (6986119/1010025,-3635566463/1015075125) (758983/17689,-684227916/2352637) (6986119/1010025,-3385483132/1015075125) # # a-invariants: (1, -1, 0, -177, 197) # Cremona label: 702h2 # (19,49) (19,-68) (1,4) (1,-5) (-41/4,-193/8) (-41/4,275/8) (-7,-29) (-7,36) (371/25,2316/125) (371/25,-4171/125) (1801/64,-73777/512) (379,-7556) (1801/64,59369/512) (379,7177) (127/1764,1003003/74088) (127/1764,-1008337/74088) # # a-invariants: (1, -1, 0, -8952, -323776) # Cremona label: 702h3 # (-217/4,227/8) (-217/4,207/8) (614369/1600,-477082427/64000) (614369/1600,452507667/64000) # # a-invariants: (1, -1, 1, -29, 55) # Cremona label: 702i1 # # # a-invariants: (1, -1, 1, -5834, -251639) # Cremona label: 702j1 # # # a-invariants: (1, -1, 1, -41, 105) # Cremona label: 702k1 # (-1,-12) (-1,12) (5,0) (5,-6) (3,-4) (3,0) (11,-36) (11,24) (-7,6) (-7,0) (15,-60) (15,44) (11/4,9/8) (11/4,-39/8) (119/25,-588/125) (119/25,-132/125) (1/9,-286/27) (1/9,256/27) (395,7644) (395,-8040) (-277/121,18816/1331) (-277/121,-17100/1331) (909/169,-17152/2197) (909/169,3138/2197) (7583/2401,-381900/117649) (7583/2401,-107316/117649) (8825/1024,447165/32768) (8825/1024,-762333/32768) (-28809/4489,3330236/300763) (-28809/4489,-1700796/300763) (201221/9025,75376896/857375) (201221/9025,-95350266/857375) # # a-invariants: (1, -1, 1, -83, 595) # Cremona label: 702l1 # (25,-130) (25,104) (7,-22) (7,14) (-1,-26) (-1,26) (-11,14) (-11,-4) (-17/4,-221/8) (-17/4,247/8) (5,-20) (5,14) (391/25,-7826/125) (391/25,5746/125) (295,-5206) (295,4910) (433/9,8138/27) (433/9,-9464/27) (601/64,-15017/512) (601/64,9697/512) (2401/1369,1009112/50653) (2401/1369,-1148602/50653) (-2617/289,-94198/4913) (-2617/289,133774/4913) (-134585/17689,-56185870/2352637) (-134585/17689,71733038/2352637) (61189/21025,52953548/3048625) (61189/21025,-64874578/3048625) # # a-invariants: (1, -1, 1, -1487, -12905) # Cremona label: 702m1 # (-29,-58) (-29,86) (115,-1210) (115,1094) (-13,70) (-13,-58) (43,-58) (43,14) (-11,-40) (-11,50) (83,-698) (83,614) (-1277/49,-25654/343) (-1277/49,34250/343) (2995,162374) (2995,-165370) (-281/9,-898/27) (-281/9,1714/27) (4351/25,267934/125) (4351/25,-289814/125) (-34541/2209,9021658/103823) (-34541/2209,-7502054/103823) (76835/1681,-9491050/68921) (76835/1681,6271894/68921) (532393/8281,-320478556/753571) (532393/8281,271277222/753571) # # a-invariants: (1, -1, 1, -20, -1) # Cremona label: 702n1 # (7,-17) (7,9) # # a-invariants: (1, -1, 1, -1190, -15497) # Cremona label: 702n2 # # # a-invariants: (1, -1, 1, -995, 12323) # Cremona label: 702n3 # (19,-14) (19,-6) # # a-invariants: (1, -1, 1, 4, -3) # Cremona label: 702o1 # # # a-invariants: (1, -1, 1, 1324, -33097) # Cremona label: 702p1 # (37,-275) (37,237) # # a-invariants: (1, -1, 1, -52436, -4620617) # Cremona label: 702p2 # (397,-6283) (397,5885) # # a-invariants: (1, -1, 1, -4250396, -3371749577) # Cremona label: 702p3 # # # a-invariants: (0, 0, 1, -736, 1057) # Cremona label: 703a1 # # # a-invariants: (0, 0, 1, 1, -8) # Cremona label: 703b1 # (7,-19) (7,18) (2,-2) (2,1) (64/25,363/125) (64/25,-488/125) (133/9,1522/27) (133/9,-1549/27) (14137/196,1679649/2744) (14137/196,-1682393/2744) (54089/13225,-12998813/1520875) (54089/13225,11477938/1520875) # # a-invariants: (0, 1, 0, -1, 1) # Cremona label: 704a1 # (0,-1) (0,1) (-3/4,11/8) (-3/4,-11/8) (88/9,863/27) (88/9,-863/27) (1137/1936,83471/85184) (1137/1936,-83471/85184) # # a-invariants: (0, 1, 0, -41, -199) # Cremona label: 704a2 # (8,7) (8,-7) (24557/196,3858371/2744) (24557/196,-3858371/2744) # # a-invariants: (0, 1, 0, -31281, -2139919) # Cremona label: 704a3 # (267088/529,128202697/12167) (267088/529,-128202697/12167) # # a-invariants: (0, -1, 0, 1, 1) # Cremona label: 704b1 # (0,-1) (0,1) (5/4,13/8) (5/4,-13/8) (104/25,967/125) (104/25,-967/125) (-1455/2704,-18097/140608) (-1455/2704,18097/140608) # # a-invariants: (0, 1, 0, 1, -1) # Cremona label: 704c1 # # # a-invariants: (0, -1, 0, 11, -19) # Cremona label: 704d1 # # # a-invariants: (0, -1, 0, -309, -2003) # Cremona label: 704d2 # # # a-invariants: (0, 0, 0, -16, 32) # Cremona label: 704e1 # # # a-invariants: (0, 1, 0, 11, 19) # Cremona label: 704f1 # # # a-invariants: (0, 1, 0, -309, 2003) # Cremona label: 704f2 # # # a-invariants: (0, -1, 0, -11, -11) # Cremona label: 704g1 # # # a-invariants: (0, 0, 0, 2, 14) # Cremona label: 704h1 # # # a-invariants: (0, 0, 0, -16, -32) # Cremona label: 704i1 # # # a-invariants: (0, 1, 0, -11, 11) # Cremona label: 704j1 # (2,-1) (2,1) (5/4,7/8) (5/4,-7/8) (-38/9,1/27) (-38/9,-1/27) (977/784,-19391/21952) (977/784,19391/21952) (7601317/36,20957250041/216) (7601317/36,-20957250041/216) # # a-invariants: (0, -1, 0, -1, -1) # Cremona label: 704k1 # (2,-1) (2,1) (37/4,-211/8) (37/4,211/8) (3370/841,160447/24389) (3370/841,-160447/24389) # # a-invariants: (0, -1, 0, -41, 199) # Cremona label: 704k2 # (2,-11) (2,11) (-3/4,-121/8) (-3/4,121/8) (90,847) (90,-847) (65/16,583/64) (65/16,-583/64) (-38/9,-451/27) (-38/9,451/27) (4517/196,287309/2744) (4517/196,-287309/2744) (96546/15625,23387969/1953125) (96546/15625,-23387969/1953125) (-1280823/179776,-676261861/76225024) (-1280823/179776,676261861/76225024) (72029365/7322436,-505469741723/19814511816) (72029365/7322436,505469741723/19814511816) # # a-invariants: (0, -1, 0, -31281, 2139919) # Cremona label: 704k3 # (922/9,1/27) (922/9,-1/27) (3685/36,-323/216) (3685/36,323/216) (10882/81,-427679/729) (10882/81,427679/729) (1539092497/15023376,59469551/58230605376) (1539092497/15023376,-59469551/58230605376) # # a-invariants: (0, 0, 0, 2, -14) # Cremona label: 704l1 # (5,-11) (5,11) (9/4,11/8) (9/4,-11/8) (13,47) (13,-47) (553/16,13013/64) (553/16,-13013/64) (5109/1849,282469/79507) (5109/1849,-282469/79507) (29345/8836,4493759/830584) (29345/8836,-4493759/830584) (10380901/119025,33450689899/41063625) (10380901/119025,-33450689899/41063625) (772396265/89567296,21520729628299/847664889344) (772396265/89567296,-21520729628299/847664889344) # # a-invariants: (0, -1, 1, -5781, 175862) # Cremona label: 705a1 # (120,1093) (120,-1094) (50,-97) (50,96) (165909/4900,-45925727/343000) (165909/4900,45582727/343000) # # a-invariants: (1, 1, 1, -120, 42282) # Cremona label: 705b1 # (312,-5679) (312,5366) (77,666) (77,-744) (30,-274) (30,243) (187/36,-44849/216) (187/36,43511/216) (-18,-189) (-18,206) (-4219/121,-76866/1331) (-4219/121,121944/1331) (-11448/361,-746901/6859) (-11448/361,957554/6859) (-26807/2304,-22148413/110592) (-26807/2304,23324557/110592) (587145091/980100,13949902546219/970299000) (587145091/980100,-14532146485309/970299000) # # a-invariants: (0, 1, 1, 9, 20) # Cremona label: 705c1 # (0,-5) (0,4) # # a-invariants: (0, 1, 1, -81, -619) # Cremona label: 705c2 # # # a-invariants: (1, 0, 1, 6, 1) # Cremona label: 705d1 # (1,-4) (1,2) (19/36,313/216) (19/36,-643/216) (34705/289,6176026/4913) (34705/289,-6770924/4913) # # a-invariants: (1, 0, 0, -36, 81) # Cremona label: 705e1 # (3,-3) (3,0) (0,9) (0,-9) (9,-27) (9,18) (15/4,-27/8) (15/4,-3/8) (-7,5) (-7,2) (96/25,-459/125) (96/25,-21/125) (387/49,-7344/343) (387/49,4635/343) (-135/256,42021/4096) (-135/256,-39861/4096) (5691/1849,-226704/79507) (5691/1849,-18009/79507) (11680/9,-1279933/27) (11680/9,1244893/27) (318793920/86806489,-2537614517733/808776058013) (318793920/86806489,-432588434907/808776058013) # # a-invariants: (1, 0, 1, -368, 2681) # Cremona label: 705f1 # (11,-6) # # a-invariants: (1, 0, 1, -373, 2603) # Cremona label: 705f2 # (9,-5) (13,-7) (-89/4,85/8) # # a-invariants: (1, 0, 1, -1078, -10369) # Cremona label: 705f3 # (-105/4,101/8) # # a-invariants: (1, 0, 1, 252, 10603) # Cremona label: 705f4 # (17,-150) (-73/4,69/8) (17,132) # # a-invariants: (1, 1, 0, 1, -1) # Cremona label: 706a1 # (1,1) (1,-2) (13/9,47/27) (13/9,-86/27) (1213/16,40171/64) (1213/16,-45023/64) (116365/159201,-79647422/63521199) (116365/159201,33217787/63521199) # # a-invariants: (1, -1, 1, -118, 2693) # Cremona label: 706b1 # (41,-277) (41,235) (9,-53) (9,43) (-7,-53) (-7,59) (-143/9,-311/27) (-143/9,713/27) (-1,-53) (-1,53) (729/49,19165/343) (729/49,-24611/343) (2369/25,-120257/125) (2369/25,108287/125) (3049/9,-172679/27) (3049/9,163505/27) (102641/4489,-35938039/300763) (102641/4489,28760329/300763) (10917/2809,-7478701/148877) (10917/2809,6751223/148877) (-17386799/1432809,-71292617369/1715072373) (-17386799/1432809,90389543399/1715072373) # # a-invariants: (1, -1, 1, -7, -5) # Cremona label: 706c1 # (-1,0) (-5/4,-3/8) (7,-20) (-5/4,5/8) (7,12) (833/256,-11913/4096) (-1601/1089,11552/35937) (-1601/1089,5344/35937) (833/256,-5511/4096) # # a-invariants: (1, -1, 1, 3, -25) # Cremona label: 706c2 # (11/4,-15/8) (27/4,-163/8) (529/64,-14021/512) (529/64,9277/512) (27/4,101/8) (776065/278784,-150731815/147197952) (776065/278784,-406228457/147197952) # # a-invariants: (1, 0, 0, -18, 4) # Cremona label: 706d1 # (4,-2) (0,2) (-4,6) (0,-2) (-4,-2) (6,-14) (20,-98) (20,78) (6,8) (-44/25,806/125) (-14/9,166/27) (-44/25,-586/125) (-14/9,-124/27) (1164/49,-43366/343) (680/121,8762/1331) (1164/49,35218/343) (680/121,-16242/1331) (-4785/1156,-54067/39304) (-4785/1156,216757/39304) (759016/189225,-115741366/82312875) (1515916/529,1849080626/12167) (1515916/529,-1883946694/12167) (759016/189225,-214430594/82312875) (30473711060/4728075121,3142481197212862/325107173395081) (30473711060/4728075121,-5237884043409522/325107173395081) # # a-invariants: (1, 0, 0, -178, -924) # Cremona label: 706d2 # (-33/4,33/8) (-8,6) (80,-746) (-8,2) (80,666) (22,66) (-910/121,7476/1331) (-910/121,2534/1331) (22,-88) (12918/841,-65526/24389) (12918/841,-309096/24389) (-1646/225,13012/3375) (-1646/225,11678/3375) (-6055720/797449,4165183902/712121957) (-6055720/797449,1242574058/712121957) (150448/5929,-53801714/456533) (150448/5929,42217218/456533) (286850324464/100100025,-155072473953585122/1001500750125) (286850324464/100100025,152202536457322802/1001500750125) # # a-invariants: (0, 1, 1, -12, 12) # Cremona label: 707a1 # (3,-4) (3,3) (2,-1) (2,0) (1,-2) (1,1) (-4,3) (-4,-4) (5/4,3/8) (5/4,-11/8) (0,3) (0,-4) (10,31) (10,-32) (-3,5) (-3,-6) (13/9,-17/27) (13/9,-10/27) (11,-37) (11,36) (-8/9,-143/27) (-8/9,116/27) (-3/4,-41/8) (-3/4,33/8) (54/25,-192/125) (54/25,67/125) (22/9,-64/27) (22/9,37/27) (23,111) (23,-112) (87,-816) (87,815) (97/16,871/64) (97/16,-935/64) (36/25,-41/125) (36/25,-84/125) (129/64,31/512) (129/64,-543/512) (-79/25,606/125) (-79/25,-731/125) (65/16,-471/64) (65/16,407/64) (95/49,-232/343) (95/49,-111/343) (17/169,-8403/2197) (17/169,6206/2197) (559/289,-3097/4913) (559/289,-1816/4913) (148/121,596/1331) (148/121,-1927/1331) (235/81,1972/729) (235/81,-2701/729) (654/169,-14773/2197) (654/169,12576/2197) (686/121,16096/1331) (686/121,-17427/1331) (521/841,-69066/24389) (521/841,44677/24389) (669/484,-10257/10648) (669/484,-391/10648) (-740/169,-1364/2197) (-740/169,-833/2197) (1054/9,34336/27) (1054/9,-34363/27) (-803/196,-9799/2744) (-803/196,7055/2744) (-1355/729,100783/19683) (-1355/729,-120466/19683) (1928/1849,-151015/79507) (1928/1849,71508/79507) (4602,-312225) (4602,312224) (1088/1849,150713/79507) (1088/1849,-230220/79507) (-1032/529,-74955/12167) (-1032/529,62788/12167) (9630/361,-958443/6859) (9630/361,951584/6859) (3333/2401,-7006/117649) (3333/2401,-110643/117649) (-8595/2209,352534/103823) (-8595/2209,-456357/103823) (-14459/8100,-4434461/729000) (-14459/8100,3705461/729000) (5929/9025,-2361433/857375) (5929/9025,1504058/857375) (27007/12321,-2232791/1367631) (27007/12321,865160/1367631) (46673/21904,1446303/3241792) (46673/21904,-4688095/3241792) (136019/34225,38414203/6331625) (136019/34225,-44745828/6331625) (-13259/125316,140993947/44361864) (-13259/125316,-185355811/44361864) (404673/4096,-258703071/262144) (404673/4096,258440927/262144) (656659/330625,-10931827/190109375) (656659/330625,-179177548/190109375) (695348/508369,-368266517/362467097) (695348/508369,5799420/362467097) (152373/277729,-435633053/146363183) (152373/277729,289269870/146363183) (2318929/1065024,-1746084871/1099104768) (2318929/1065024,646980103/1099104768) (2025969/1399489,-682336689/1655595487) (2025969/1399489,-973258798/1655595487) (3103991/46225,5497139136/9938375) (3103991/46225,-5507077511/9938375) (3930833/430336,7580718361/282300416) (3930833/430336,-7863018777/282300416) (25238139/10452289,43392133012/33792250337) (25238139/10452289,-77184383349/33792250337) (-23209300/37662769,-1143816463716/231136413353) (-23209300/37662769,912680050363/231136413353) (53851130/717409,397084716384/607645423) (53851130/717409,-397692361807/607645423) (18512693/328406884,17273817298525/5951389551848) (18512693/328406884,-23225206850373/5951389551848) (1314417178/9678321,47798787887081/30109256631) (1314417178/9678321,-47828897143712/30109256631) (2845873303/770229009,-131619673034272/21376165686777) (2845873303/770229009,110243507347495/21376165686777) (1102760453575/47651409,1158060080839469417/328937676327) (1102760453575/47651409,-1158060409777145744/328937676327) (1743011493841/55675233936,2317619610336072671/13136905498602816) (1743011493841/55675233936,-2330756515834675487/13136905498602816) # # a-invariants: (0, -1, 0, 11, 34) # Cremona label: 708a1 # (-2,0) # # a-invariants: (0, -1, 0, -124, 520) # Cremona label: 708a2 # (5,0) # # a-invariants: (0, -1, 1, -2, 0) # Cremona label: 709a1 # (0,-1) (0,0) (-1,0) (-1,-1) (2,0) (2,-1) (3,-4) (3,3) (5,9) (5,-10) (-3/4,-11/8) (-3/4,3/8) (12,39) (12,-40) (1/9,-17/27) (1/9,-10/27) (-2/9,-35/27) (-2/9,8/27) (-7/16,-91/64) (-7/16,27/64) (33,-187) (33,186) (-19/25,46/125) (-19/25,-171/125) (46/9,-280/27) (46/9,253/27) (116/49,440/343) (116/49,-783/343) (141/4,-1653/8) (141/4,1645/8) (-28/121,-1736/1331) (-28/121,405/1331) (221/100,-1819/1000) (221/100,819/1000) (-90/169,-3160/2197) (-90/169,963/2197) (-310/289,-2960/4913) (-310/289,-1953/4913) (715/81,-18109/729) (715/81,17380/729) (3/529,-140/12167) (3/529,-12027/12167) (720/361,-6624/6859) (720/361,-235/6859) (-903/841,-10199/24389) (-903/841,-14190/24389) (2321/784,-85455/21952) (2321/784,63503/21952) (2295/961,39960/29791) (2295/961,-69751/29791) (242/2209,-37152/103823) (242/2209,-66671/103823) (279/3025,-43183/166375) (279/3025,-123192/166375) (30383,-5295889) (30383,5295888) (-7781/18225,1029853/2460375) (-7781/18225,-3490228/2460375) (31672/441,5591440/9261) (31672/441,-5600701/9261) (-20615/20736,-3036979/2985984) (-20615/20736,50995/2985984) (37033/16641,1860589/2146689) (37033/16641,-4007278/2146689) (62810/961,-15631696/29791) (62810/961,15601905/29791) (7833/87616,-19523939/25934336) (7833/87616,-6410397/25934336) (169247/14641,65120615/1771561) (169247/14641,-66892176/1771561) (437601/222784,-74071183/105154048) (437601/222784,-31082865/105154048) (3579696/1177225,-5250776544/1277289125) (3579696/1177225,3973487419/1277289125) (5128777/2556801,141418126/4088324799) (5128777/2556801,-4229742925/4088324799) (5938465625/2872852801,-203537145881250/153982037280799) (5938465625/2872852801,49555108600451/153982037280799) (-17119574199/16416015625,-341494988933799/2103302001953125) (-17119574199/16416015625,-1761807013019326/2103302001953125) (91184762385/293060161,27487817585236971/5016896896159) (91184762385/293060161,-27492834482133130/5016896896159) # # a-invariants: (1, 1, 0, -27, -59) # Cremona label: 710a1 # (-3,-1) (-3,4) (7,-16) (7,9) (-17/4,27/8) (-17/4,7/8) (15,49) (15,-64) (-203/81,271/729) (-203/81,1556/729) (3273/64,175433/512) (3273/64,-201617/512) (-22307/5929,2068452/456533) (-22307/5929,-350813/456533) # # a-invariants: (1, 1, 1, -416, 3009) # Cremona label: 710b1 # (-11,-75) (-11,85) (21,53) (21,-75) (9,-15) (9,5) (13,-3) (13,-11) (61/9,535/27) (61/9,-745/27) (37,181) (37,-219) (-21,65) (-21,-45) (213,2997) (213,-3211) (-59/49,20355/343) (-59/49,-20285/343) (139/9,425/27) (139/9,-869/27) (2821/289,-34395/4913) (2821/289,-18475/4913) (8901/625,119901/15625) (8901/625,-358051/15625) (1749/841,1095825/24389) (1749/841,-1170935/24389) (12241/121,-1405057/1331) (12241/121,1269075/1331) (-321299/13689,54510065/1601613) (-321299/13689,-18519695/1601613) (135309/26896,131516985/4410944) (135309/26896,-158118605/4410944) # # a-invariants: (1, 1, 1, -70, 195) # Cremona label: 710c1 # (3,3) (3,-7) (5,-5) (5,-1) (-7,23) (-7,-17) (9,15) (9,-25) (37/9,-59/27) (37/9,-79/27) (15,-61) (15,45) (-13/4,169/8) (-13/4,-151/8) (119/25,-457/125) (119/25,-263/125) (213/121,10233/1331) (213/121,-13907/1331) (1105/9,35165/27) (1105/9,-38507/27) (8793/2401,-576673/117649) (8793/2401,28167/117649) (15581/2809,-1133965/148877) (15581/2809,159295/148877) (107625/16384,-26231285/2097152) (107625/16384,10358133/2097152) (827797265/176278729,-6581129426173/2340452684933) (827797265/176278729,-6749987546165/2340452684933) # # a-invariants: (1, 1, 1, -1105, 11727) # Cremona label: 710d1 # (27,36) (77,-664) (27,-64) (77,586) # # a-invariants: (1, 1, 1, -181355, -29801973) # Cremona label: 710d2 # # # a-invariants: (1, -1, 0, 3, -2) # Cremona label: 711a1 # (2,2) (2,-4) (3/4,-7/8) (3/4,1/8) (146/25,1354/125) (146/25,-2084/125) (3057/256,140897/4096) (3057/256,-189809/4096) # # a-invariants: (1, -1, 1, 25, 28) # Cremona label: 711b1 # (4,-16) (4,11) (-1,-1) (-1,1) (154/25,-2918/125) (154/25,2023/125) (911/4,26543/8) (911/4,-28373/8) (-617561/837225,-2351081117/766060875) (-617561/837225,2150088557/766060875) # # a-invariants: (1, -1, 0, -18, -23) # Cremona label: 711c1 # # # a-invariants: (0, 1, 0, -32, -80) # Cremona label: 712a1 # (-4,0) # # a-invariants: (0, 1, 0, -72, 112) # Cremona label: 712a2 # (7,0) # # a-invariants: (1, 0, 1, -1, 1) # Cremona label: 713a1 # (-1,-1) (-1,1) (11/4,23/8) (11/4,-53/8) (79/225,-5897/3375) (79/225,1337/3375) (9281/23104,-6234307/3511808) (9281/23104,1311787/3511808) # # a-invariants: (1, 1, 0, -3334, 81940) # Cremona label: 714a1 # (-68,34) (13,196) (60,290) (13,-209) (60,-350) (509/25,-20237/125) (509/25,17692/125) (108988/2209,18356222/103823) (108988/2209,-23478658/103823) (77246353/33856,671781705829/6229504) (77246353/33856,-685995034781/6229504) # # a-invariants: (1, 1, 0, -55174, 4965268) # Cremona label: 714a2 # (539/4,-539/8) (49,-1568) (49,1519) (139,7) (139,-146) (1911/25,-141806/125) (1911/25,132251/125) (141,-188) (141,47) (36511/4,6938147/8) (1140181/8464,-55507543/778688) (1140181/8464,-49389109/778688) (36511/4,-7011169/8) (7604381/55225,-1539243484/12977875) (7604381/55225,-247786051/12977875) # # a-invariants: (1, 1, 0, -37, -107) # Cremona label: 714b1 # # # a-invariants: (1, 1, 0, -14597, -686643) # Cremona label: 714c1 # # # a-invariants: (1, 1, 0, -21, 45) # Cremona label: 714d1 # (-6,3) (3,-6) (3,3) (2,3) (2,-5) (66,-573) (-5,10) (66,507) (-5,-5) (57/64,-2937/512) (57/64,2481/512) (218/49,1989/343) (218/49,-3515/343) (-14046/5041,-2926587/357911) (3691/225,197494/3375) (-14046/5041,3923853/357911) (3691/225,-252859/3375) (1076547/142129,-1264099413/53582633) (1076547/142129,858241194/53582633) (-14639855/23193856,-819112239695/111701610496) (-14639855/23193856,889617781375/111701610496) # # a-invariants: (1, 1, 0, -381, 2709) # Cremona label: 714d2 # (43/4,-43/8) (9,6) (9,-15) (15,18) (15,-33) (-19,-50) (11,-6) (-19,69) (11,-5) (189/16,-21/64) (189/16,-735/64) (15/4,279/8) (15/4,-309/8) (2389/225,-22142/3375) (67,-566) (67,499) (2389/225,-13693/3375) (8745/841,-63603/24389) (5391/169,-377430/2197) (8745/841,-190002/24389) (5391/169,307347/2197) (-13789/7396,37774715/636056) (35561/3136,-515871/175616) (35561/3136,-1475545/175616) (-13789/7396,-36588861/636056) (-676359/64009,1307626557/16194277) (-676359/64009,-1136507730/16194277) (22251331/1134225,-80881862549/1207949625) (22251331/1134225,57184195034/1207949625) # # a-invariants: (1, 1, 1, -2204, -41731) # Cremona label: 714e1 # # # a-invariants: (1, 1, 1, 1, 101) # Cremona label: 714f1 # (3,-14) (-5,2) (3,10) (-3,-8) (27,-158) (-3,10) (27,130) (-1,10) (-1,-10) (11,-46) (11,34) (55/9,-626/27) (93,856) (93,-950) (19/25,-1382/125) (55/9,434/27) (-213/49,-1490/343) (19/25,1162/125) (-213/49,2638/343) (9267/1681,998882/68921) (15779/121,1904230/1331) (-1159/256,-14171/4096) (15779/121,-2079130/1331) (2403/2209,-1175530/103823) (-1159/256,28619/4096) (2403/2209,958766/103823) (9267/1681,-1447750/68921) (2075095/90601,-3412020718/27270901) (1894413/152881,-3213198170/59776471) (1894413/152881,2412706216/59776471) (-1710509/632025,-4245069274/502459875) (-1710509/632025,5102464054/502459875) (2075095/90601,2760146222/27270901) # # a-invariants: (1, 1, 1, -319, 2021) # Cremona label: 714f2 # (35/4,-39/8) (11,-6) (-21,10) (13,-24) (-7,-60) (13,10) (7,10) (47,-330) (47,282) (7,-18) (-7,66) (15,22) (29,-150) (-49/25,-6366/125) (15,-38) (49/9,-682/27) (29,120) (-49/25,6486/125) (49/9,508/27) (523,11706) (-77/4,381/8) (1043/121,-10434/1331) (523,-12230) (713/64,-4791/512) (1043/121,-2370/1331) (-77/4,-235/8) (713/64,-1425/512) (-35665/2809,-8800446/148877) (4589/49,-323898/343) (14721/1849,-1018490/79507) (4589/49,291432/343) (2671/225,10186/3375) (-35665/2809,10541814/148877) (14721/1849,305980/79507) (2671/225,-53626/3375) (1251743/61009,-1189675014/15069223) (1251743/61009,865425270/15069223) (43076891/3713329,-98541806730/7155584983) (4054065/30976,7769960927/5451776) (4054065/30976,-8488928143/5451776) (43076891/3713329,8377052790/7155584983) (1442848576591/57262097025,1243690794763251626/13702533507597375) (1442848576591/57262097025,-1602659778406192346/13702533507597375) # # a-invariants: (1, 1, 1, -679, -3883) # Cremona label: 714f3 # (-93/4,89/8) (-19,-42) (185,-2592) (185,2406) (-19,60) (49,264) (49,-314) (-11,-44) (-11,54) (-25/4,123/8) (461/16,1545/64) (-25/4,-81/8) (461/16,-3453/64) (33,-122) (-1691/225,-88132/3375) (-1691/225,110122/3375) (33,88) (-2395/169,-108594/2197) (26801/361,3867810/6859) (-2395/169,137532/2197) (26801/361,-4383888/6859) (-10469/484,487527/10648) (33481/64,-6260113/512) (-10469/484,-267857/10648) (33481/64,5991753/512) (5028785/4489,11111638914/300763) (5028785/4489,-11448868272/300763) (-81725547/5193841,-583123093828/11836763639) (1042129/11025,972135032/1157625) (-81725547/5193841,757538851802/11836763639) (1042129/11025,-1082716202/1157625) (15123162037857/115024079104,55295451749668385609/39010646476279808) (15123162037857/115024079104,-60463513047607942681/39010646476279808) # # a-invariants: (1, 1, 1, -5079, 137205) # Cremona label: 714f4 # (163/4,-167/8) (61,212) (41,-18) (41,-24) (61,-274) (1201/25,-13514/125) (373/9,-358/27) (373/9,-788/27) (1201/25,7384/125) (315649/7744,-14404981/681472) (2099/4,93333/8) (2099/4,-97539/8) (315649/7744,-14053603/681472) (14033377/137641,-45115768454/51064811) (16987429/416025,-5310906698/268336125) (14033377/137641,39858320776/51064811) (16987429/416025,-5914321132/268336125) # # a-invariants: (1, 1, 1, -70244, 7127525) # Cremona label: 714g1 # (221,-1679) (669,-16463) (669,15793) (165,-335) (165,169) (221,1457) (157,-79) # # a-invariants: (1, 1, 1, -90724, 2605541) # Cremona label: 714g2 # (29,-15) (677,15537) (677,-16215) (-107,-3279) (-1261/4,1257/8) (285,-143) (-107,3385) # # a-invariants: (1, 1, 1, -859044, -304722459) # Cremona label: 714g3 # (1069,-535) (-499,249) (-2285/4,2281/8) # # a-invariants: (1, 1, 1, 349916, 20936165) # Cremona label: 714g4 # (541,18937) (541,-19479) (-237/4,233/8) # # a-invariants: (1, 1, 1, -13718604, -19563199515) # Cremona label: 714g5 # (-8557/4,8553/8) # # a-invariants: (1, 1, 1, -292604, -699871003) # Cremona label: 714g6 # (3987/4,-3991/8) # # a-invariants: (1, 1, 1, 1, -1) # Cremona label: 714h1 # # # a-invariants: (1, 0, 0, 108, 11664) # Cremona label: 714i1 # (-18,-54) (108,1080) (108,-1188) (24,-180) (0,-108) (-18,72) (0,108) (24,156) # # a-invariants: (1, 0, 0, -972, -315144) # Cremona label: 714i2 # (114,972) (114,-1086) # # a-invariants: (1, 0, 0, -381702, -90803346) # Cremona label: 714i3 # # # a-invariants: (0, 1, 1, -5, 6) # Cremona label: 715a1 # (0,2) (0,-3) (10,-33) (10,32) (5/4,-19/8) (-2,3) (-2,-4) (5/4,11/8) (156/49,1791/343) (420/169,7509/2197) (420/169,-9706/2197) (156/49,-2134/343) (-455/144,-2069/1728) (-455/144,341/1728) # # a-invariants: (0, 1, 1, 45, -129) # Cremona label: 715a2 # (3,6) (3,-7) (29,162) (29,-163) (37/4,-277/8) (37/4,269/8) (3929/625,320717/15625) (3929/625,-336342/15625) (2992081/1192464,2605734431/1302170688) (2992081/1192464,-3907905119/1302170688) # # a-invariants: (0, 0, 1, 43, -2088) # Cremona label: 715b1 # (87,812) (87,-813) (22,-98) (22,97) (12,-13) (12,12) (133/9,-1151/27) (133/9,1124/27) (153/4,-1889/8) (153/4,1881/8) (337,-6188) (337,6187) (360,6831) (360,-6832) (17242/441,-2260943/9261) (17242/441,2251682/9261) (2523/169,-96396/2197) (2523/169,94199/2197) (160897/13456,17423777/1560896) (160897/13456,-18984673/1560896) (825202/9801,750095398/970299) (825202/9801,-751065697/970299) (169125648/529,-2199450597896/12167) (169125648/529,2199450585729/12167) # # a-invariants: (1, -1, 0, -17, -163) # Cremona label: 718a1 # # # a-invariants: (1, 0, 1, -5, 0) # Cremona label: 718b1 # (-1,-2) (-1,2) (3,2) (3,-6) (0,-1) (0,0) (2,-2) (2,-1) (-2,-1) (-2,2) (7,14) (7,-22) (15,-66) (15,50) (-5/9,38/27) (-5/9,-50/27) (-9/4,9/8) (-9/4,1/8) (-17/9,58/27) (-17/9,-34/27) (11/4,-41/8) (11/4,11/8) (20,-100) (20,79) (-1/25,22/125) (-1/25,-142/125) (-3/16,-93/64) (-3/16,41/64) (-13/49,-538/343) (-13/49,286/343) (111/25,-1406/125) (111/25,726/125) (68,-596) (68,527) (76/9,524/27) (76/9,-779/27) (178/81,-2242/729) (178/81,-89/729) (391/169,-7786/2197) (391/169,506/2197) (-138/121,-2642/1331) (-138/121,2829/1331) (835,23714) (835,-24550) (591/289,-11426/4913) (591/289,-3534/4913) (-637/289,-1078/4913) (-637/289,6994/4913) (16/289,-2384/4913) (16/289,-2801/4913) (-793/529,-21866/12167) (-793/529,27938/12167) (-312/361,-13624/6859) (-312/361,12693/6859) (-179/400,9721/8000) (-179/400,-14141/8000) (-1945/1369,115450/50653) (-1945/1369,-94138/50653) (4743/2401,-199954/117649) (4743/2401,-150102/117649) (-1914/1225,-74514/42875) (-1914/1225,98629/42875) (6951/169,534234/2197) (6951/169,-626794/2197) (3290/841,-225925/24389) (3290/841,106126/24389) (15387/3721,1125258/226981) (15387/3721,-2290846/226981) (9835/4356,19075/287496) (9835/4356,-955681/287496) (-5945/8836,-1595029/830584) (-5945/8836,1323275/830584) (24497/256,3640193/4096) (24497/256,-4036241/4096) (28138/4761,-5649149/328509) (28138/4761,3379118/328509) (35777/10816,-7966973/1124864) (35777/10816,3121301/1124864) (3127/59049,-5947082/14348907) (3127/59049,-9161686/14348907) (149931/2809,54097146/148877) (149931/2809,-62192366/148877) (-163121/77841,39155698/21717639) (-163121/77841,-15362578/21717639) (463887/3481,302418846/205379) (463887/3481,-329993558/205379) (490586/42025,-396235474/8615125) (490586/42025,287050219/8615125) (1356113/287296,-1899292813/153990656) (1356113/287296,1018425589/153990656) (14091026/7102225,-34682099321/18927429625) (14091026/7102225,-21797914594/18927429625) (-207317161/95550625,-376655310362/934007359375) (-207317161/95550625,1469173199762/934007359375) (-2638052741/1351665225,103011489984122/49693971997125) (-2638052741/1351665225,-55717452958382/49693971997125) # # a-invariants: (1, -1, 1, -514, 4609) # Cremona label: 718c1 # (13,-9) (13,-5) (17,-33) (17,15) (1,-65) (1,63) (121/9,-187/27) (121/9,-203/27) (-11,-89) (-11,99) (59/4,-135/8) (59/4,9/8) (613/49,-575/343) (613/49,-4059/343) (1657/9,64325/27) (1657/9,-69323/27) (39889/3025,-1063847/166375) (39889/3025,-1296423/166375) (51377/2209,-8483487/103823) (51377/2209,5964945/103823) (1123489/82944,-201538945/23887872) (1123489/82944,-145913759/23887872) (516476081/37173409,-2473832710497/226646274673) (516476081/37173409,-901768230033/226646274673) # # a-invariants: (0, 0, 0, -3, 18) # Cremona label: 720a1 # (-3,0) (1,4) (3,-6) (3,6) (1,-4) (-2,-4) (21,-96) (21,96) (-2,4) (73/9,-620/27) (73/9,620/27) (-21/25,558/125) (-21/25,-558/125) (-51/529,52032/12167) (337/64,6233/512) (-51/529,-52032/12167) (337/64,-6233/512) (-21479/8281,-2175116/753571) (47163/841,-10238046/24389) (47163/841,10238046/24389) (-21479/8281,2175116/753571) (2147253/1014049,-4695279840/1021147343) (365374/216225,-423669068/100544625) (365374/216225,423669068/100544625) (2147253/1014049,4695279840/1021147343) # # a-invariants: (0, 0, 0, -123, 522) # Cremona label: 720a2 # (6,0) (1,20) (9,-12) (1,-20) (9,12) (-9,30) (7,2) (7,-2) (-9,-30) (33,180) (33,-180) (49/9,100/27) (49/9,-100/27) (81/16,345/64) (22,-92) (81/16,-345/64) (22,92) (-551/49,-7540/343) (1161/169,2436/2197) (1161/169,-2436/2197) (-551/49,7540/343) (2311/225,-62434/3375) (2391/961,453150/29791) (2391/961,-453150/29791) (2311/225,62434/3375) (67329/121,-17466972/1331) (67329/121,17466972/1331) (276577/33856,-49196527/6229504) (276577/33856,49196527/6229504) (393385927/6964321,7662045658142/18378843119) (393385927/6964321,-7662045658142/18378843119) (1492585154326/219262745025,-39456607683373676/102670876671681375) (1492585154326/219262745025,39456607683373676/102670876671681375) # # a-invariants: (0, 0, 0, -27, -486) # Cremona label: 720b1 # (9,0) # # a-invariants: (0, 0, 0, -1107, -14094) # Cremona label: 720b2 # (-18,0) # # a-invariants: (0, 0, 0, -138, 623) # Cremona label: 720c1 # (7,0) # # a-invariants: (0, 0, 0, -183, 182) # Cremona label: 720c2 # (-14,0) (1,0) (13,0) # # a-invariants: (0, 0, 0, -1803, -29302) # Cremona label: 720c3 # (49,0) (-23,0) (-26,0) # # a-invariants: (0, 0, 0, 717, 1442) # Cremona label: 720c4 # (-2,0) # # a-invariants: (0, 0, 0, -28803, -1881502) # Cremona label: 720c5 # (-98,0) # # a-invariants: (0, 0, 0, -723, -64078) # Cremona label: 720c6 # (46,0) # # a-invariants: (0, 0, 0, -18, 27) # Cremona label: 720d1 # (3,0) # # a-invariants: (0, 0, 0, -63, -162) # Cremona label: 720d2 # (-3,0) (9,0) (-6,0) # # a-invariants: (0, 0, 0, -963, -11502) # Cremona label: 720d3 # (-18,0) # # a-invariants: (0, 0, 0, 117, -918) # Cremona label: 720d4 # (6,0) # # a-invariants: (0, 0, 0, 33, -34) # Cremona label: 720e1 # (1,0) (5,-16) (5,16) (10,36) (10,-36) (2329/25,-112608/125) (2329/25,112608/125) (89/64,-1955/512) (89/64,1955/512) (1267765/53361,1466814896/12326391) (783850/303601,-1383624396/167284151) (783850/303601,1383624396/167284151) (1267765/53361,-1466814896/12326391) (22537780961/978438400,3482567047839791/30605553152000) (22537780961/978438400,-3482567047839791/30605553152000) # # a-invariants: (0, 0, 0, -147, -286) # Cremona label: 720e2 # (13,0) (-11,0) (-2,0) (-7,-20) (43,270) (-5,18) (-5,-18) (25,108) (25,-108) (43,-270) (-7,20) (-167/16,675/64) (373,7200) (14,20) (-167/16,-675/64) (-59/25,-864/125) (373,-7200) (14,-20) (-59/25,864/125) (-1487/441,-121220/9261) (-1487/441,121220/9261) (14563/841,-1185030/24389) (14563/841,1185030/24389) (-3245/361,120582/6859) (11665/121,1249668/1331) (-3245/361,-120582/6859) (11665/121,-1249668/1331) (-521762/152881,-792887400/59776471) (149681/1600,57410921/64000) (-521762/152881,792887400/59776471) (149681/1600,-57410921/64000) (1385813185/99420841,-19150649010468/991325205611) (1385813185/99420841,19150649010468/991325205611) (410521288654/16200452961,-228319789249278460/2062009853329041) (410521288654/16200452961,228319789249278460/2062009853329041) # # a-invariants: (0, 0, 0, -1947, -33046) # Cremona label: 720e3 # (-26,0) (-25,-2) (55,-162) (-25,2) (55,162) (374,7180) (374,-7180) (-10319/400,-29079/8000) (-10319/400,29079/8000) (10249495/101761,-28900877922/32461759) (10249495/101761,28900877922/32461759) (-4037465/159201,285261922/63521199) (-4037465/159201,-285261922/63521199) # # a-invariants: (0, 0, 0, -1227, 16346) # Cremona label: 720e4 # (7,-90) (22,0) (7,90) (17,20) (97,900) (97,-900) (-23,-180) (-23,180) (25,-36) (25,36) (17,-20) (31,-90) (47,250) (73/4,45/8) (31,90) (47,-250) (73/4,-45/8) (-38,90) (-38,-90) (385,7524) (-47/9,-4060/27) (673/49,15660/343) (2737/121,17100/1331) (385,-7524) (673/49,-15660/343) (2737/121,-17100/1331) (-47/9,4060/27) (5977/16,460125/64) (566/25,1636/125) (-1577/289,743130/4913) (7303/529,-549270/12167) (5977/16,-460125/64) (7303/529,549270/12167) (-1577/289,-743130/4913) (566/25,-1636/125) (162265/3481,50491116/205379) (-84247/2209,9092140/103823) (889417/28561,440676900/4826809) (-84247/2209,-9092140/103823) (162265/3481,-50491116/205379) (889417/28561,-440676900/4826809) (9251407/370881,8018128250/225866529) (4298911/43681,8410978170/9129329) (9251407/370881,-8018128250/225866529) (4298911/43681,-8410978170/9129329) (6154992937/3721,482882357357100/226981) (6154992937/3721,-482882357357100/226981) # # a-invariants: (0, 0, 0, -123, -598) # Cremona label: 720f1 # (13,0) # # a-invariants: (0, 0, 0, -2043, -35542) # Cremona label: 720f2 # (-26,0) # # a-invariants: (0, 0, 0, 837, 2538) # Cremona label: 720f3 # (-3,0) # # a-invariants: (0, 0, 0, -3483, 20682) # Cremona label: 720f4 # (6,0) # # a-invariants: (0, 0, 0, 93, -94) # Cremona label: 720g1 # (1,0) (7,-30) (17,-80) (17,80) (7,30) (97,960) (2,10) (2,-10) (97,-960) (25/9,368/27) (55,414) (55,-414) (25/9,-368/27) (377/16,7885/64) (1897/361,159360/6859) (377/16,-7885/64) (1897/361,-159360/6859) (3103/2809,472710/148877) (44993/49,9544240/343) (44993/49,-9544240/343) (3103/2809,-472710/148877) (59986/4761,18225190/328509) (512281/55225,513717696/12977875) (512281/55225,-513717696/12977875) (59986/4761,-18225190/328509) # # a-invariants: (0, 0, 0, -387, -766) # Cremona label: 720g2 # (-2,0) (-7,-40) (73,-600) (-7,40) (73,600) (23,50) (-17,30) (23,-50) (-17,-30) (25,72) (-143/9,1000/27) (25,-72) (-143/9,-1000/27) (98,950) (98,-950) (-23/4,285/8) (-23/4,-285/8) (3673,-222600) (-103/49,-2120/343) (3673,222600) (-103/49,2120/343) (-4433/529,528750/12167) (-4433/529,-528750/12167) (511/9,10810/27) (511/9,-10810/27) (-30007/1681,1468760/68921) (-30007/1681,-1468760/68921) (160673/5776,-43884175/438976) (160673/5776,43884175/438976) (2846185/20449,4752803736/2924207) (2846185/20449,-4752803736/2924207) (126399743/137641,1420755678950/51064811) (126399743/137641,-1420755678950/51064811) (5488770466/262926225,67763351075986/4263348738375) (5488770466/262926225,-67763351075986/4263348738375) # # a-invariants: (0, 0, 0, -1107, 16146) # Cremona label: 720g3 # (-39,0) (15,-54) (25,-64) (15,54) (25,64) (2481/25,-117504/125) (-14,170) (2481/25,117504/125) (-14,-170) (-5495/1521,8409536/59319) (-5495/1521,-8409536/59319) (49335/841,-9542286/24389) (49335/841,9542286/24389) (3506161/115600,-4022032841/39304000) (3506161/115600,4022032841/39304000) (229261104745/249608401,109702107475822016/3943563127399) (229261104745/249608401,-109702107475822016/3943563127399) # # a-invariants: (0, 0, 0, -18387, 959634) # Cremona label: 720g4 # (78,0) (105,432) (105,-432) (73,80) (73,-80) (-57,1350) (79,-10) (-57,-1350) (79,10) (13425/169,-37584/2197) (-143/9,-30160/27) (13425/169,37584/2197) (-143/9,30160/27) (3106/25,96254/125) (86793/1156,1910925/39304) (86793/1156,-1910925/39304) (3106/25,-96254/125) (5029665/1369,-11272410576/50653) (14214817/182329,-180882640/77854483) (14214817/182329,180882640/77854483) (5029665/1369,11272410576/50653) (120304519/1279161,-360938689730/1446731091) (120304519/1279161,360938689730/1446731091) # # a-invariants: (0, 0, 0, -3, 322) # Cremona label: 720h1 # (-7,0) (17,72) (-1,-18) (17,-72) (-1,18) (9,32) (2,18) (9,-32) (2,-18) (143,-1710) (-151/25,1368/125) (-151/25,-1368/125) (143,1710) (-63/16,-1057/64) (1961/49,86976/343) (-63/16,1057/64) (1961/49,-86976/343) (21593/4489,-6155496/300763) (21593/4489,6155496/300763) (11471/2209,2193714/103823) (11471/2209,-2193714/103823) (322466/9025,183546486/857375) (-155543/42849,-149753440/8869743) (-155543/42849,149753440/8869743) (322466/9025,-183546486/857375) (127701857/707281,1443071052792/594823321) (127701857/707281,-1443071052792/594823321) # # a-invariants: (0, 0, 0, -723, 7378) # Cremona label: 720h2 # (-31,0) (17,0) (14,0) (9,40) (41,-216) (9,-40) (-1,90) (-1,-90) (23,54) (23,-54) (41,216) (161,2016) (-79/4,-945/8) (18,14) (641/49,-4320/343) (641/49,4320/343) (18,-14) (161,-2016) (-79/4,945/8) (3599/25,-212382/125) (3599/25,212382/125) (9593/529,184680/12167) (9593/529,-184680/12167) (4679/361,93150/6859) (4679/361,-93150/6859) (-1511/81,-87400/729) (-1511/81,87400/729) (460529/20449,146728512/2924207) (33777/784,5203913/21952) (33777/784,-5203913/21952) (460529/20449,-146728512/2924207) (238074521/5041,-3673409192424/357911) (238074521/5041,3673409192424/357911) (168605663/9916201,-20705942574/31226116949) (168605663/9916201,20705942574/31226116949) (15120555634/386712225,1499615303753098/7604695904625) (15120555634/386712225,-1499615303753098/7604695904625) # # a-invariants: (0, 0, 0, -1443, -9758) # Cremona label: 720h3 # (-34,0) (41,0) (-7,0) (-9,-50) (641,-16200) (47,162) (-31,-72) (-9,50) (47,-162) (641,16200) (-31,72) (-4639/196,289575/2744) (-4639/196,-289575/2744) (162,-2002) (162,2002) (8561/121,-655200/1331) (-2479/169,199584/2197) (8561/121,655200/1331) (-2479/169,-199584/2197) (1918871/13225,2560966794/1520875) (1918871/13225,-2560966794/1520875) (-663569/29241,-531570250/5000211) (-663569/29241,531570250/5000211) (779216337/16032016,11996334526567/64192192064) (779216337/16032016,-11996334526567/64192192064) (2360794955684807/49987569241,-114706297633278856191462/11176170743333539) (2360794955684807/49987569241,114706297633278856191462/11176170743333539) # # a-invariants: (0, 0, 0, -11523, 476098) # Cremona label: 720h4 # (62,0) (63,-14) (71,126) (71,-126) (63,14) (3042/49,-482/343) (689/4,15183/8) (3042/49,482/343) (689/4,-15183/8) (11858303/190969,-133364070/83453453) (316519/2025,-143901478/91125) (11858303/190969,133364070/83453453) (316519/2025,143901478/91125) # # a-invariants: (0, 0, 0, -19443, -1042958) # Cremona label: 720h5 # (161,0) (-79,0) (-82,0) (647,-16038) (-9679/121,-29160/1331) (647,16038) (-81,-22) (281,3960) (-81,22) (281,-3960) (-9679/121,29160/1331) (-2627959/33124,-88537779/6028568) (23202/121,2009462/1331) (-2627959/33124,88537779/6028568) (7655801/3721,21132951840/226981) (23202/121,-2009462/1331) (7655801/3721,-21132951840/226981) # # a-invariants: (0, 0, 0, 5037, -73262) # Cremona label: 720h6 # (14,0) (639,-16250) (639,16250) (23,-234) (23,234) (26082/169,4597978/2197) (26082/169,-4597978/2197) (1282649/23716,2183293125/3652264) (1282649/23716,-2183293125/3652264) # # a-invariants: (0, 0, 0, -311043, -66769598) # Cremona label: 720h7 # (-322,0) (-38961/121,122/1331) (767,-12078) (-38961/121,-122/1331) (767,12078) (940197762/450241,-27671849204818/302111711) (940197762/450241,27671849204818/302111711) # # a-invariants: (0, 0, 0, -15843, -1441118) # Cremona label: 720h8 # (158,0) (78167/121,21375738/1331) (78167/121,-21375738/1331) (279,-3982) (279,3982) (253549214801/123254404,-127421533601780319/1368370393208) (253549214801/123254404,127421533601780319/1368370393208) # # a-invariants: (0, 0, 0, -12, 11) # Cremona label: 720i1 # (1,0) # # a-invariants: (0, 0, 0, 33, 74) # Cremona label: 720i2 # (-2,0) # # a-invariants: (0, 0, 0, -372, -2761) # Cremona label: 720i3 # (-11,0) # # a-invariants: (0, 0, 0, -327, -3454) # Cremona label: 720i4 # (22,0) # # a-invariants: (0, 0, 0, 213, 3674) # Cremona label: 720j1 # (-11,0) # # a-invariants: (0, 0, 0, -2667, 48026) # Cremona label: 720j2 # (37,0) (22,0) (-59,0) # # a-invariants: (0, 0, 0, -1947, -108214) # Cremona label: 720j3 # (61,0) # # a-invariants: (0, 0, 0, -9867, -324934) # Cremona label: 720j4 # (-74,0) # # a-invariants: (0, 0, 0, -41547, 3259514) # Cremona label: 720j5 # (103,-270) (118,0) (103,270) # # a-invariants: (0, 0, 0, -48027, -4043446) # Cremona label: 720j6 # (-122,0) (-131,0) (253,0) # # a-invariants: (0, 0, 0, -768027, -259067446) # Cremona label: 720j7 # (-506,0) # # a-invariants: (0, 0, 0, -65307, -874294) # Cremona label: 720j8 # (-113,2250) (-113,-2250) (262,0) # # a-invariants: (1, 0, 1, 714, -16080) # Cremona label: 722a1 # (30,-196) (30,165) (645811/39204,-185101775/7762392) (27444/169,-4782129/2197) (645811/39204,49468805/7762392) (27444/169,4423160/2197) # # a-invariants: (1, 0, 1, -33581, -2375576) # Cremona label: 722a2 # (1474,55398) (1474,-56873) # # a-invariants: (1, -1, 0, -1, -11) # Cremona label: 722b1 # (5,7) (5,-12) (3,-4) (3,1) (115/4,1101/8) (115/4,-1331/8) (331/25,-6644/125) (331/25,4989/125) (487433/65536,-376941669/16777216) (487433/65536,252158821/16777216) (294942565/2405601,4820883283273/3731087151) (294942565/2405601,-5278339201588/3731087151) # # a-invariants: (1, 0, 1, -8, -8138) # Cremona label: 722c1 # # # a-invariants: (1, 0, 1, -25278, 1710222) # Cremona label: 722c2 # # # a-invariants: (1, -1, 1, -429, 77485) # Cremona label: 722d1 # # # a-invariants: (1, 1, 1, -5603, -163815) # Cremona label: 722e1 # (93,314) (93,-408) (625,-15836) (625,15210) (33751/196,5260401/2744) (33751/196,-5735659/2744) (302745/1849,-151895010/79507) (302745/1849,138797468/79507) # # a-invariants: (1, 1, 1, 3422, -612177) # Cremona label: 722e2 # (359,-7039) (359,6679) (93,-769) (93,675) (3873/49,-150907/343) (3873/49,123453/343) (233,-3709) (233,3475) (509209/81,-365709061/729) (509209/81,361125451/729) (762281/1225,-681657551/42875) (762281/1225,654934841/42875) (103662021/889249,938607506073/838561807) (103662021/889249,-1037199353683/838561807) # # a-invariants: (1, 1, 1, -30873, 16782247) # Cremona label: 722e3 # (3247,-186456) (3247,183208) (815,-23512) (815,22696) (359,7040) (359,-7400) (175,4008) (175,-4184) (343/9,-107384/27) (343/9,106328/27) (-2729/25,549704/125) (-2729/25,-536184/125) (-130657/529,-35839592/12167) (-130657/529,38832536/12167) (-295,718) (-295,-424) (-1264889/5929,-1642280760/456533) (-1264889/5929,1739220680/456533) (-817265/12321,-5844673832/1367631) (-817265/12321,5934022616/1367631) (12003191/55225,57198139256/12977875) (12003191/55225,-60031867016/12977875) # # a-invariants: (1, 1, 1, 2, 3) # Cremona label: 722f1 # (-1,1) (-1,-1) (3,-9) (3,5) (3/4,-27/8) (3/4,13/8) (-13/49,-685/343) (-13/49,433/343) (1039/81,30311/729) (1039/81,-40391/729) (-8191/6400,51767/512000) (-8191/6400,91513/512000) (-4970733/15311569,75179031647/59914169497) (-4970733/15311569,-115642722915/59914169497) (278791272163/101225149281,-265431027411551591/32205692270093679) (278791272163/101225149281,144525382781349995/32205692270093679) # # a-invariants: (1, 1, 1, -93, 307) # Cremona label: 722f2 # (7,-12) (7,4) (5,-2) (5,-4) (-1,-20) (-1,20) (-5,-24) (-5,28) (43/9,-124/27) (43/9,-32/27) (151/25,36/125) (151/25,-916/125) (137,1538) (137,-1676) (1535/169,28196/2197) (1535/169,-50348/2197) (2491/484,-24345/10648) (2491/484,-41105/10648) (8335/4761,3631604/328509) (8335/4761,-4535228/328509) (-46823/5041,-6300082/357911) (-46823/5041,9266604/357911) (1548359/354025,108849908/210644875) (1548359/354025,-1240768388/210644875) # # a-invariants: (1, 1, 1, -4, -4) # Cremona label: 723a1 # (-1,0) (-2,0) (-2,1) (2,0) (2,-3) (15,52) (15,-68) (-19/16,-39/64) (-19/16,51/64) (698/169,13209/2197) (698/169,-24480/2197) (-458/289,6240/4913) (-458/289,-3367/4913) (-110281/67081,22431240/17373979) (52681/14400,-16138031/1728000) (52681/14400,8088311/1728000) (-110281/67081,-11242440/17373979) # # a-invariants: (1, 1, 1, 11, -10) # Cremona label: 723a2 # (3/4,-7/8) (1,-3) (61,451) (1,1) (61,-513) (237/16,-4391/64) (1639/900,86753/27000) (237/16,3379/64) (1639/900,-162923/27000) (173161/48841,78605097/10793861) (173161/48841,-127667539/10793861) (2911814161/965966400,179287328179469/30022235712000) (2911814161/965966400,-299808748015349/30022235712000) # # a-invariants: (0, 1, 1, -3, -4) # Cremona label: 723b1 # (2,1) (2,-2) (124/9,-1432/27) (124/9,1405/27) (48005/11236,-11226533/1191016) (48005/11236,10035517/1191016) # # a-invariants: (1, -1, 0, -67, 216) # Cremona label: 725a1 # (4,-2) (-9/4,-141/8) (8,8) (8,-16) (-9/4,159/8) (-7676/1681,1554758/68921) (3985/576,47669/13824) (-7676/1681,-1240042/68921) (3985/576,-143309/13824) # # a-invariants: (1, -1, 0, 58, 841) # Cremona label: 725a2 # (-29/4,29/8) (24,-137) (24,113) (0,29) (0,-29) (2581/144,133139/1728) (7/4,239/8) (2581/144,-164111/1728) (7/4,-253/8) (57072/49,-13830013/343) (57072/49,13430509/343) (-1595615/968256,-25113812389/952763904) (-1595615/968256,26683897549/952763904) # # a-invariants: (1, 1, 0, -35, -51) # Cremona label: 726a1 # (6,-3) (-2,-3) (-5,-3) (-5,8) (-2,5) (15,-63) (142/9,1415/27) (142/9,-1841/27) (15,48) (-1466/289,-13619/4913) (-779/400,-22691/8000) (-779/400,38271/8000) (-1466/289,38541/4913) (1084542/49,1125692595/343) (73975/12321,-3296192/1367631) (1084542/49,-1133284389/343) (73975/12321,-4915033/1367631) # # a-invariants: (1, 1, 0, -475, -4187) # Cremona label: 726a2 # (-53/4,53/8) (61,-476) (-13,5) (-13,8) (61,415) (223/9,-464/27) (-17471/1369,320095/50653) (223/9,-205/27) (-17471/1369,326332/50653) (-1505131/115600,314759117/39304000) (-1505131/115600,196985423/39304000) (13362644383/603729,1539531810828425/469097433) (13362644383/603729,-1549914585514016/469097433) # # a-invariants: (1, 1, 0, 21657, -1855179) # Cremona label: 726b1 # # # a-invariants: (1, 1, 0, -244, -128) # Cremona label: 726c1 # (-16,8) # # a-invariants: (1, 1, 0, -2664, 51660) # Cremona label: 726c2 # (-60,30) (28,-14) (123/4,-123/8) # # a-invariants: (1, 1, 0, -42594, 3365850) # Cremona label: 726c3 # (475/4,-475/8) # # a-invariants: (1, 1, 0, -1454, 100302) # Cremona label: 726c4 # (-229/4,229/8) # # a-invariants: (1, 0, 1, -14, 20) # Cremona label: 726d1 # (3,1) (3,-5) (0,4) (0,-5) (-3,7) (-3,-5) (2,0) (2,-3) (15,49) (15,-65) (27/4,95/8) (27/4,-157/8) (39/25,-397/125) (39/25,77/125) (-38/9,112/27) (-38/9,-25/27) (165/169,-8477/2197) (165/169,4135/2197) (1512/361,-62015/6859) (1512/361,26428/6859) (6747/121,-592045/1331) (6747/121,516497/1331) (7505/3136,-606171/175616) (7505/3136,10275/175616) # # a-invariants: (1, 0, 1, -5448, -113258) # Cremona label: 726e1 # (-23,11) (329,-5973) (329,5643) (-34,198) (-34,-165) (-55,-117) (-55,171) (98,495) (98,-594) (4505/49,-155331/343) (4505/49,123453/343) (-907/16,9405/64) (-907/16,-5841/64) (-10519/289,-859749/4913) (-10519/289,1033659/4913) (266,-4290) (266,4023) (219793/9,-103373303/27) (-14474/625,-213301/15625) (-14474/625,559526/15625) (219793/9,102713897/27) (1313201/3136,1443722643/175616) (1313201/3136,-1517437515/175616) # # a-invariants: (1, 0, 1, 13912, -732778) # Cremona label: 726e2 # (183/4,-187/8) (318,-6149) (120,-1694) (318,5830) (120,1573) (1044,33418) (66,655) (1044,-34463) (66,-722) (45669/784,-12186119/21952) (45669/784,10885435/21952) (6651/4,-550429/8) (6651/4,537119/8) (73002/289,20744615/4913) (73002/289,-21990562/4913) (137369734/5625,1604915107202/421875) (137369734/5625,-1615218259127/421875) # # a-invariants: (1, 0, 1, -1217868, 517205302) # Cremona label: 726e3 # (637,-319) (6283/9,63767/27) (15826/25,-61589/125) (6283/9,-82643/27) (15826/25,-17666/125) (143446/225,-1008139/3375) (187,-17299) (187,17111) (143446/225,-1146926/3375) (8805503893/13816089,-15792960422107/51354402813) (-17187779/211600,-2411118311899/97336000) (-17187779/211600,2418927354239/97336000) (8805503893/13816089,-16988451950987/51354402813) (198835739566/296012025,-9498241675964954/5092886890125) (198835739566/296012025,6072179889841799/5092886890125) # # a-invariants: (1, 0, 1, -1216658, 518284622) # Cremona label: 726e4 # (-5097/4,5093/8) (582,-3014) (582,2431) (156184/225,8570518/3375) (156184/225,-10916653/3375) (42196/225,57818111/3375) (42196/225,-58454426/3375) (1612045338/1315609,43522002754318/1509003523) (1612045338/1315609,-45372527760527/1509003523) (-236482844056331/2923484432400,124279909785881509714307/4998632152206168000) (-236482844056331/2923484432400,-123880565321609320011887/4998632152206168000) # # a-invariants: (1, 1, 1, -4298, 46487) # Cremona label: 726f1 # (-71,35) # # a-invariants: (1, 1, 1, -57538, 5285303) # Cremona label: 726f2 # (563/4,-567/8) # # a-invariants: (1, 1, 1, 179, 1475) # Cremona label: 726g1 # (17,-108) (17,90) (-5,-20) (-5,24) (-1,-36) (-1,36) (39,-284) (39,244) (215,-3276) (215,3060) (7,-60) (7,52) (-169/25,756/125) (-169/25,-36/125) (43/9,-1420/27) (43/9,1264/27) (125,-1476) (125,1350) (211/4,-3427/8) (211/4,2997/8) (101/169,85662/2197) (101/169,-89172/2197) (-285/49,-4880/343) (-285/49,6532/343) (24503/1849,-6927516/79507) (24503/1849,5794380/79507) (56239/25,13200228/125) (56239/25,-13481548/125) (75647/3481,23829660/205379) (75647/3481,-28498212/205379) (-132905/33489,-155355460/6128487) (-132905/33489,173548588/6128487) (37728305/83521,226700186580/24137569) (37728305/83521,-237627804294/24137569) # # a-invariants: (1, 0, 0, -668, -6324) # Cremona label: 726h1 # (-12,6) # # a-invariants: (1, 0, 0, 542, -26410) # Cremona label: 726h2 # (95/4,-95/8) # # a-invariants: (1, 0, 0, -9743, 367929) # Cremona label: 726h3 # (54,-27) # # a-invariants: (1, 0, 0, -4903, 734801) # Cremona label: 726h4 # (-433/4,433/8) # # a-invariants: (1, 0, 0, -1636, -28588) # Cremona label: 726i1 # # # a-invariants: (0, -1, 0, -8, -20) # Cremona label: 728a1 # # # a-invariants: (0, -1, 0, 1071, 8501) # Cremona label: 728b1 # # # a-invariants: (0, 0, 0, -68, -236) # Cremona label: 728c1 # (12,-26) (12,26) (25,-117) (25,117) (84,766) (84,-766) (3121/324,9737/5832) (3121/324,-9737/5832) (400260/3481,-252557162/205379) (400260/3481,252557162/205379) # # a-invariants: (0, 1, 0, -1, 51) # Cremona label: 728d1 # (5,14) (5,-14) (-2,7) (-2,-7) (-3,-6) (-3,6) (13/4,-77/8) (13/4,77/8) (173,2282) (173,-2282) (70/9,647/27) (70/9,-647/27) (-571/625,112658/15625) (-571/625,-112658/15625) (-7295/1936,-334999/85184) (-7295/1936,334999/85184) # # a-invariants: (1, -1, 0, -865, -9219) # Cremona label: 730a1 # (-14,7) # # a-invariants: (1, -1, 0, 415, -35075) # Cremona label: 730a2 # (115/4,-115/8) # # a-invariants: (1, 0, 1, 96, -658) # Cremona label: 730b1 # (10,31) (10,-42) # # a-invariants: (1, 0, 1, -3919, -94974) # Cremona label: 730b2 # # # a-invariants: (1, -1, 0, -2440, 47006) # Cremona label: 730c1 # # # a-invariants: (1, 1, 0, -1897, 29189) # Cremona label: 730d1 # # # a-invariants: (1, 1, 0, -2, -4) # Cremona label: 730e1 # # # a-invariants: (1, -1, 0, -949, 11493) # Cremona label: 730f1 # (18,-9) (17,-1) (22,19) (22,-41) (17,-16) (-18,-141) (-18,159) (163/9,-257/27) (163/9,-232/27) (898/49,-2423/343) (898/49,-3863/343) (23/4,607/8) (23/4,-653/8) (3006/169,-23505/2197) (3006/169,-15573/2197) (331/9,-4793/27) (331/9,3800/27) (38182/361,-7510319/6859) (38182/361,6784861/6859) (4815337/254016,-347054399/128024064) (3358818/243049,-4370917437/119823157) (4815337/254016,-2079875449/128024064) (3358818/243049,2715020163/119823157) (8107114766578/50241877609,-23544911130077767723/11261566140424523) (8107114766578/50241877609,21727725676493608757/11261566140424523) # # a-invariants: (1, -1, 0, -929, 11985) # Cremona label: 730f2 # (-141/4,141/8) (56,337) (-4,-123) (-4,127) (56,-393) (139/9,704/27) (139/9,-1121/27) (21,27) (21,-48) (554/49,-20189/343) (26,-83) (554/49,16311/343) (26,57) (129,-1488) (-161/9,-3821/27) (129,1359) (-161/9,4304/27) (416,-8663) (416,8247) (-10444/361,-712907/6859) (-10444/361,911343/6859) (43741/1296,-7085413/46656) (1191/196,213513/2744) (43741/1296,5510737/46656) (1191/196,-230187/2744) (55615/1521,-10630985/59319) (55615/1521,8462000/59319) (-18927094/609961,-40749560543/476379541) (52755434/82369,374957748591/23639903) (52755434/82369,-390098558149/23639903) (-18927094/609961,55531620957/476379541) (912266329489/61738334784,444064989054335221/15340247520450048) (912266329489/61738334784,-670737628475126029/15340247520450048) # # a-invariants: (1, -1, 0, -4, -2) # Cremona label: 730g1 # (-1,0) (-1,1) (3,1) (3,-4) (-11/16,5/64) (-11/16,39/64) (211/25,2301/125) (211/25,-3356/125) (-4161/3481,114104/205379) (-4161/3481,131395/205379) (196913/18496,69164461/2515456) (196913/18496,-95944629/2515456) # # a-invariants: (1, 0, 0, 19, -5) # Cremona label: 730h1 # # # a-invariants: (1, 1, 1, -26, 39) # Cremona label: 730i1 # (1,3) (1,-5) (3,-3) (3,-1) (-3,11) (-3,-9) (13,-53) (13,39) (19/9,-59/27) (19/9,-25/27) (121/25,591/125) (121/25,-1321/125) (-99/16,347/64) (-99/16,-15/64) (2097/529,24349/12167) (2097/529,-84747/12167) (4747/2401,-316721/117649) (4747/2401,-33531/117649) (62773/2601,-17479271/132651) (62773/2601,14145197/132651) # # a-invariants: (1, 1, 1, -405, -1925) # Cremona label: 730j1 # (-7,28) (-7,-22) (43,228) (43,-272) (-17,28) (-17,-12) (23,28) (23,-52) (-113/9,1156/27) (-113/9,-844/27) (143,-1772) (143,1628) (-5,0) (-5,4) (193,-2772) (193,2578) (-187/16,-2033/64) (-187/16,2717/64) (217/9,1156/27) (217/9,-1834/27) (-853/49,-2276/343) (-853/49,7904/343) (10927/289,-1060836/4913) (10927/289,870164/4913) (-10433/1369,-1254116/50653) (-10433/1369,1589484/50653) (7319,622540) (7319,-629860) (-63257/9801,-18370828/970299) (-63257/9801,23662972/970299) (513577/23104,51136599/3511808) (513577/23104,-132712111/3511808) (88755787/804609,-866520929756/721734273) (88755787/804609,786185254544/721734273) # # a-invariants: (1, 0, 0, -15, 17) # Cremona label: 730k1 # (4,3) (4,-7) # # a-invariants: (1, 0, 0, -365, -2713) # Cremona label: 730k2 # # # a-invariants: (1, 0, 1, -539, 4765) # Cremona label: 731a1 # (13,-9) (13,-5) (205/16,-239/64) (205/16,-645/64) (6613/9,-547531/27) (6613/9,527665/27) (34597777/2637376,-35642725707/4283098624) (34597777/2637376,-24827162765/4283098624) # # a-invariants: (0, -1, 0, -17, 30) # Cremona label: 732a1 # (2,0) # # a-invariants: (0, -1, 0, 28, 120) # Cremona label: 732a2 # (-3,0) # # a-invariants: (0, -1, 0, -100, 424) # Cremona label: 732b1 # (10,-18) (10,18) (6,2) (6,-2) (1,-18) (1,18) (-10,18) (-10,-18) (106/25,954/125) (106/25,-954/125) (105/16,173/64) (105/16,-173/64) (2506/121,109818/1331) (2506/121,-109818/1331) (4726/81,-317602/729) (4726/81,317602/729) (371526/70225,-72166574/18609625) (371526/70225,72166574/18609625) (4158930346/750266881,-62596355256882/20550560137471) (4158930346/750266881,62596355256882/20550560137471) # # a-invariants: (0, 1, 0, -29, 36) # Cremona label: 732c1 # (4,0) (1,-3) (-5,-9) (-5,9) (1,3) (13,45) (7,-15) (13,-45) (7,15) (-11/4,81/8) (-11/4,-81/8) (0,-6) (0,6) (109/25,423/125) (79,-705) (79,705) (109/25,-423/125) (-311/49,741/343) (235/169,-1197/2197) (-311/49,-741/343) (235/169,1197/2197) (697/144,9845/1728) (697/144,-9845/1728) (4372/121,289980/1331) (4372/121,-289980/1331) (1091389/55225,1129292937/12977875) (1091389/55225,-1129292937/12977875) (-2835360/485809,-2155227678/338608873) (-2835360/485809,2155227678/338608873) (1038327133/2989441,33502230616275/5168743489) (1038327133/2989441,-33502230616275/5168743489) # # a-invariants: (0, 1, 0, -164, -828) # Cremona label: 732c2 # (-9,0) (-8,6) (-8,-6) (52,366) (52,-366) (16,30) (16,-30) (-164/25,-366/125) (-164/25,366/125) (-27/4,33/8) (163/9,1342/27) (163/9,-1342/27) (-27/4,-33/8) (-18356/2209,-569130/103823) (1984/25,-87702/125) (1984/25,87702/125) (-18356/2209,569130/103823) (501892/361,355674774/6859) (-74168/8281,1217406/753571) (501892/361,-355674774/6859) (-74168/8281,-1217406/753571) (644209/17424,-487981745/2299968) (644209/17424,487981745/2299968) # # a-invariants: (1, 1, 0, -75, -284) # Cremona label: 733a1 # # # a-invariants: (1, 1, 1, -3, -31) # Cremona label: 734a1 # (3,-2) # # a-invariants: (1, 1, 1, -163, -863) # Cremona label: 734a2 # (-29/4,25/8) # # a-invariants: (1, 1, 0, -123, -552) # Cremona label: 735a1 # (-8,4) # # a-invariants: (1, 1, 0, -368, 1947) # Cremona label: 735a2 # (59/4,-59/8) (6,-3) (-22,11) # # a-invariants: (1, 1, 0, -5513, 155268) # Cremona label: 735a3 # (171/4,-171/8) # # a-invariants: (1, 1, 0, 857, 13462) # Cremona label: 735a4 # (-53/4,53/8) # # a-invariants: (0, -1, 1, -15206, -1184338) # Cremona label: 735b1 # # # a-invariants: (0, -1, 1, 5, 6) # Cremona label: 735c1 # (0,2) (0,-3) (2,4) (2,-5) (45/4,291/8) (45/4,-299/8) (-74/81,-152/729) (-74/81,-577/729) (10620/1369,1051206/50653) (10620/1369,-1101859/50653) (145817/55696,-79082005/13144256) (145817/55696,65937749/13144256) (3789373966/14630625,-232851852529361/55962140625) (3789373966/14630625,232795890388736/55962140625) # # a-invariants: (0, -1, 1, -205, 1203) # Cremona label: 735c2 # (9,2) (9,-3) (-1,-38) (-1,37) (21/4,121/8) (21/4,-129/8) (91/9,199/27) (91/9,-226/27) (69,557) (69,-558) (137/16,67/64) (137/16,-131/64) (-579/49,14526/343) (-579/49,-14869/343) (19699/2601,632062/132651) (19699/2601,-764713/132651) (157989/11236,-36386383/1191016) (157989/11236,35195367/1191016) (-9804383/627264,-9469532719/496793088) (-9804383/627264,8972739631/496793088) # # a-invariants: (0, 1, 1, 229, -2614) # Cremona label: 735d1 # (16,-74) (16,73) # # a-invariants: (0, 1, 1, -10061, -392605) # Cremona label: 735d2 # # # a-invariants: (1, 0, 0, -1, -64) # Cremona label: 735e1 # (4,-2) (85/9,632/27) (13,-53) (85/9,-887/27) (13,40) (427897/1024,-286832989/32768) (35620/8649,-3622442/804357) (35620/8649,309782/804357) (427897/1024,273140285/32768) # # a-invariants: (1, 0, 0, -246, -1485) # Cremona label: 735e2 # (18,-9) (-33/4,33/8) (-10,5) (39,-240) (53,-394) (-83/9,2/27) (-9,9) (-83/9,247/27) (39,201) (-9,0) (53,341) (-9582/961,183801/29791) (-2119/256,21509/4096) (6687/4,540153/8) (166/9,247/27) (-9582/961,113241/29791) (-2119/256,12395/4096) (166/9,-745/27) (6687/4,-553527/8) (2647191/34225,3972733809/6331625) (2647191/34225,-4462464144/6331625) (-575865/61009,6651360/15069223) (-575865/61009,135587295/15069223) (3701929729/8856576,219636314382641/26357170176) (3701929729/8856576,-230653257256145/26357170176) # # a-invariants: (1, 0, 0, -3921, -94830) # Cremona label: 735e3 # (-145/4,145/8) (-326/9,488/27) (74,-184) (74,110) (-326/9,490/27) (-8917639/246016,2202825179/122023936) (60199/36,14580115/216) (-8917639/246016,2220323765/122023936) (60199/36,-14941309/216) # # a-invariants: (1, 0, 0, -491, 1896) # Cremona label: 735e4 # (79/4,-79/8) (-24,12) (4,-2) (-17,82) (1,37) (25,61) (1,-38) (25,-86) (151,-1913) (-17,-65) (151,1762) (-311/64,34319/512) (484/9,-10526/27) (484/9,9074/27) (40,196) (-311/64,-31831/512) (40,-236) (-33/4,-555/8) (-33/4,621/8) (-3431/169,154114/2197) (-3431/169,-109511/2197) (919/361,168037/6859) (7681/25,652514/125) (30319/1369,-2830214/50653) (7681/25,-690919/125) (919/361,-185498/6859) (30319/1369,1708411/50653) (380136/101761,291168708/32461759) (380136/101761,-412432092/32461759) (46465/2304,-3023737/110592) (46465/2304,793417/110592) (6426319/3844,16091412311/238328) (6426319/3844,-16489844089/238328) (162673826344/2088033025,59431062259333532/95412669077375) (162673826344/2088033025,-66864442754122612/95412669077375) # # a-invariants: (1, 0, 0, -6616, 206471) # Cremona label: 735e5 # (-94,47) (46,-23) (191/4,-191/8) (41,-88) (41,47) (11,-373) (53,-100) (95,614) (95,-709) (53,47) (11,362) (-61/4,-4349/8) (701/16,803/64) (158,1685) (-61/4,4471/8) (50,11) (50,-61) (158,-1843) (701/16,-3607/64) (1199/25,-2042/125) (7739/169,-33766/2197) (1229,-43612) (1229,42383) (-79,527) (-79,-448) (1199/25,-3953/125) (7739/169,-66841/2197) (23006/841,-5572667/24389) (3785/64,62377/512) (2503/36,-70033/216) (2503/36,55015/216) (4306/121,-194203/1331) (23006/841,4905493/24389) (4306/121,146837/1331) (3785/64,-92657/512) (83609/1849,-3117091/79507) (83609/1849,-478096/79507) (103895/289,-33591122/4913) (103895/289,31824907/4913) (24064286/494209,-1847186269/347428927) (1313714/4225,1416588883/274625) (24064286/494209,-15070006789/347428927) (1313714/4225,-1501980293/274625) (50455619/1119364,-48656152001/1184287112) (50455619/1119364,-4725892901/1184287112) (553851197/7689529,6138338066684/21323063917) (553851197/7689529,-7674167435965/21323063917) (11231134465/234457344,-62936108693897/3590010851328) (11231134465/234457344,-109035022234183/3590010851328) # # a-invariants: (1, 0, 0, 1714, 14685) # Cremona label: 735e6 # (-33/4,33/8) (4,145) (4,-149) (148,-1949) (148,1801) (111/4,2205/8) (25873/576,5600149/13824) (111/4,-2427/8) (25873/576,-6221101/13824) (-498572/231361,-11542471559/111284641) (2759716/9025,4498312901/857375) (-498572/231361,11782284691/111284641) (2759716/9025,-4760485921/857375) (653845213407/391169284,-535372165788116823/7736546098952) (653845213407/391169284,522440415157353177/7736546098952) # # a-invariants: (1, 0, 0, -105841, 13244636) # Cremona label: 735e7 # (751/4,-751/8) (188,-88) (188,-100) (200,-394) (200,194) (3005/16,-6109/64) (3005/16,-5911/64) (947/4,-10649/8) (947/4,8755/8) (1244,-43132) (793256/4225,-25812866/274625) (793256/4225,-25748774/274625) (1244,41888) (1461505/7744,-48437333/681472) (1461505/7744,-80175107/681472) (5779183/30276,-896045477/5268024) (5779183/30276,-109532365/5268024) (103873094173619/553199763076,-38827539945034725323/411455600582088824) (103873094173619/553199763076,-38430566800854572783/411455600582088824) # # a-invariants: (1, 0, 0, -5391, 285606) # Cremona label: 735e8 # (-369/4,369/8) (333,-6120) (333,5787) (-45,-639) (-45,684) (90,-774) (18,432) (90,684) (18,-450) (39,-387) (39,348) (1521/25,-57384/125) (1521/25,49779/125) (-45/4,-4653/8) (2493/16,110115/64) (-45/4,4743/8) (2493/16,-120087/64) (1425,-54441) (-22833/289,2498085/4913) (-22833/289,-2109924/4913) (1425,53016) (207666/169,93132216/2197) (-1926/25,-57078/125) (207666/169,-95831874/2197) (-1926/25,66708/125) (-39843/4489,174834945/300763) (-39843/4489,-172165464/300763) (2179665/53824,-4825812213/12487168) (257503/4356,-128549363/287496) (2179665/53824,4320129933/12487168) (257503/4356,111554165/287496) (191684250/534361,2536938206694/390617891) (191684250/534361,-2677059393444/390617891) (1466150754771/4729312900,-1784657697714099441/325234848133000) (1466150754771/4729312900,1683830510308497771/325234848133000) # # a-invariants: (0, 1, 1, -310, 3364) # Cremona label: 735f1 # (-19,52) (-19,-53) (86,787) (86,-788) (-4,-68) (-4,67) (23,-95) (23,94) (29/4,311/8) (29/4,-319/8) (11,-38) (11,37) (16,52) (16,-53) (2,52) (2,-53) (41,-248) (41,247) (-199/16,-4757/64) (-199/16,4693/64) (401,8032) (401,-8033) (-22,4) (-22,-5) (296,5092) (296,-5093) (-101/9,-2026/27) (-101/9,1999/27) (149/4,-1699/8) (149/4,1691/8) (71/25,-6331/125) (71/25,6206/125) (2564/169,106159/2197) (2564/169,-108356/2197) (1406/121,50297/1331) (1406/121,-51628/1331) (2381/361,275188/6859) (2381/361,-282047/6859) (1577/64,54155/512) (1577/64,-54667/512) (-251/49,23701/343) (-251/49,-24044/343) (29054/289,4906556/4913) (29054/289,-4911469/4913) (-43756/2209,-4838179/103823) (-43756/2209,4734356/103823) (14927,-1823783) (14927,1823782) (-203299/11236,-69810143/1191016) (-203299/11236,68619127/1191016) (102538/4761,-27925649/328509) (102538/4761,27597140/328509) (22226129/1315609,85063746856/1509003523) (22226129/1315609,-86572750379/1509003523) (-11297863594/1129699321,2813375279825897/37970323878131) (-11297863594/1129699321,-2851345603704028/37970323878131) # # a-invariants: (0, -1, 1, 406, -686) # Cremona label: 737a1 # (106,1105) (106,-1106) (217/9,-4067/27) (217/9,4040/27) (7,-50) (7,49) (16/9,-181/27) (16/9,154/27) (877/196,-96445/2744) (877/196,93701/2744) (1348/81,-74719/729) (1348/81,73990/729) (134659/2209,51534035/103823) (134659/2209,-51637858/103823) (247429/225,123039692/3375) (247429/225,-123043067/3375) (1130326/5041,1203681290/357911) (1130326/5041,-1204039201/357911) (464019217/13046544,11274421216015/47124116928) (464019217/13046544,-11321545332943/47124116928) # # a-invariants: (1, -1, 0, 66, 116) # Cremona label: 738a1 # (1,-14) (1,13) (5,21) (5,-26) (1285/16,-48659/64) (1285/16,43519/64) (-2611/2209,-555406/103823) (-2611/2209,678123/103823) # # a-invariants: (1, -1, 0, -1575, 751869) # Cremona label: 738b1 # # # a-invariants: (1, -1, 0, -5215815, 4586220189) # Cremona label: 738b2 # # # a-invariants: (1, -1, 0, -81, -243) # Cremona label: 738c1 # (-6,3) # # a-invariants: (1, -1, 0, -261, 1377) # Cremona label: 738c2 # (-18,9) (51/4,-51/8) (6,-3) # # a-invariants: (1, -1, 0, -3951, 96579) # Cremona label: 738c3 # (147/4,-147/8) # # a-invariants: (1, -1, 0, 549, 7695) # Cremona label: 738c4 # (-45/4,45/8) # # a-invariants: (1, -1, 0, -2430, 46732) # Cremona label: 738d1 # (41,101) (41,-142) (29,-10) (29,-19) (413/16,875/64) (413/16,-2527/64) (-27,-290) (-27,317) (-1759/289,-1201142/4913) (-1759/289,1231045/4913) (85481/3136,-4817177/175616) (85481/3136,30241/175616) (21014969/714025,-13464827687/603351125) (21014969/714025,-4292821118/603351125) # # a-invariants: (1, -1, 1, 7, -7) # Cremona label: 738e1 # (3,4) (3,-8) (1,-2) (1,0) (9,22) (9,-32) (19,-92) (19,72) (21/16,55/64) (21/16,-203/64) (163/81,-3772/729) (163/81,1576/729) (2289/25,-114898/125) (2289/25,103328/125) (7873/1681,-933858/68921) (7873/1681,542144/68921) (611689/118336,-624284073/40707584) (611689/118336,373155473/40707584) # # a-invariants: (1, -1, 1, -374, 2949) # Cremona label: 738f1 # (-7,75) (-7,-69) (17,27) (17,-45) (11,-15) (11,3) (9,11) (9,-21) (29,111) (29,-141) (-19,-45) (-19,63) (137,-1653) (137,1515) (3,41) (3,-45) (329/25,807/125) (329/25,-2577/125) (617/49,1485/343) (617/49,-6147/343) (77/16,2073/64) (77/16,-2445/64) (769/9,19561/27) (769/9,-21895/27) (-3559/169,96303/2197) (-3559/169,-52233/2197) (4379/121,-276759/1331) (4379/121,227259/1331) (36689/4489,4578825/300763) (36689/4489,-7337751/300763) (21093/1849,197225/79507) (21093/1849,-1183731/79507) (-209791/55225,869422257/12977875) (-209791/55225,-833099247/12977875) (1563443/841,1931711685/24389) (1563443/841,-1977075921/24389) (-1435143/137641,4071750985/51064811) (-1435143/137641,-3590377743/51064811) # # a-invariants: (1, -1, 1, -599, -5457) # Cremona label: 738g1 # (-13,6) # # a-invariants: (1, -1, 1, -239, -12225) # Cremona label: 738g2 # (107/4,-111/8) # # a-invariants: (1, -1, 1, -4085069, 3178971893) # Cremona label: 738h1 # (1167,-584) # # a-invariants: (1, -1, 1, -4079309, 3188379125) # Cremona label: 738h2 # (-9333/4,9329/8) # # a-invariants: (1, -1, 1, -14, -7) # Cremona label: 738i1 # (-3,1) # # a-invariants: (1, -1, 1, -104, 425) # Cremona label: 738i2 # (27/4,-31/8) # # a-invariants: (1, -1, 1, -14, -61) # Cremona label: 738j1 # # # a-invariants: (1, -1, 1, 121, 1559) # Cremona label: 738j2 # (1,-42) (1,40) # # a-invariants: (0, 0, 1, 1, 1) # Cremona label: 739a1 # # # a-invariants: (0, 0, 0, -219448, 39364772) # Cremona label: 740a1 # # # a-invariants: (0, 1, 0, -181, -425) # Cremona label: 740b1 # (21,74) (21,-74) (-3,-10) (-3,10) (-27/4,-185/8) (-27/4,185/8) (-107/9,370/27) (-107/9,-370/27) (781/9,21682/27) (225/16,185/64) (225/16,-185/64) (781/9,-21682/27) (69,566) (69,-566) (-2387/324,138365/5832) (-95163/8281,12370210/753571) (-2387/324,-138365/5832) (-95163/8281,-12370210/753571) (9237609/1600,28078622123/64000) (9237609/1600,-28078622123/64000) (-27555613643/8373897081,9252880430041090/766286947985229) (-27555613643/8373897081,-9252880430041090/766286947985229) # # a-invariants: (0, 1, 0, -12021, -511321) # Cremona label: 740b2 # (-2291/36,125/216) (-2291/36,-125/216) (18409/144,414595/1728) (18409/144,-414595/1728) # # a-invariants: (0, -1, 0, -45, 25) # Cremona label: 740c1 # (-5,10) (-5,-10) (15,-50) (15,50) (0,5) (0,-5) (7,2) (7,-2) (-5/9,190/27) (-5/9,-190/27) (85/4,-725/8) (85/4,725/8) (-285/49,2570/343) (-285/49,-2570/343) (471,10210) (471,-10210) (-1160/289,54895/4913) (-1160/289,-54895/4913) (37135/3249,5472350/185193) (37135/3249,-5472350/185193) (99297/13456,9911273/1560896) (99297/13456,-9911273/1560896) (-216505880/34117281,-765090388135/199279038321) (-216505880/34117281,765090388135/199279038321) # # a-invariants: (1, 1, 0, -2, -3) # Cremona label: 741a1 # # # a-invariants: (1, 1, 0, 5571, -41634) # Cremona label: 741b1 # # # a-invariants: (1, 0, 1, -5227, -155497) # Cremona label: 741c1 # # # a-invariants: (0, 1, 1, 101470, 57781877) # Cremona label: 741d1 # # # a-invariants: (0, 1, 1, -5, 23) # Cremona label: 741e1 # (7,-20) (7,19) (1,4) (1,-5) (-11/4,35/8) (-11/4,-43/8) (-3,4) (-3,-5) (19/25,-628/125) (19/25,503/125) (97/16,985/64) (97/16,-1049/64) (1411,53020) (1411,-53021) (661/81,17380/729) (661/81,-18109/729) (10957/8836,3344815/830584) (10957/8836,-4175399/830584) (-52199/21025,14176651/3048625) (-52199/21025,-17225276/3048625) # # a-invariants: (1, -1, 0, -5, 7) # Cremona label: 742a1 # (3,2) (3,-5) (1,-2) (1,1) (-9/4,23/8) (-9/4,-5/8) (1/9,67/27) (1/9,-70/27) (339/169,922/2197) (339/169,-5329/2197) (1297/64,40379/512) (1297/64,-50755/512) (44691/7225,-10230841/614125) (44691/7225,6432106/614125) (-164879711/134768881,5944776830585/1564531939529) (-164879711/134768881,-4030688265586/1564531939529) # # a-invariants: (1, 1, 0, -63, 245) # Cremona label: 742b1 # (-10,5) # # a-invariants: (1, 1, 0, -1123, 14025) # Cremona label: 742b2 # (75/4,-75/8) # # a-invariants: (1, -1, 0, 727, 11853) # Cremona label: 742c1 # # # a-invariants: (1, -1, 0, 3668, -767536) # Cremona label: 742d1 # # # a-invariants: (1, 1, 0, -29612, 2027600) # Cremona label: 742e1 # (-200,100) (-104/9,41708/27) (277,-4034) (277,3757) (-104/9,-41396/27) (88,292) (1009/9,-11345/27) (88,-380) (1009/9,8318/27) (10936/81,473156/729) (1093/16,-38915/64) (1093/16,34543/64) (10936/81,-571580/729) (616792/961,-478640804/29791) (616792/961,459520252/29791) (-839/9,55183/27) (-839/9,-52666/27) (445144/225,-299342308/3375) (-45875/289,-7771930/4913) (-45875/289,8551805/4913) (445144/225,292665148/3375) (27045001/627264,442797041377/496793088) (27045001/627264,-464216682169/496793088) (8113324249/43599609,-525786495835610/287888218227) (8113324249/43599609,472214215819463/287888218227) # # a-invariants: (1, 1, 0, -479052, 127421360) # Cremona label: 742e2 # (1595/4,-1595/8) (4189/9,57343/27) (4189/9,-69910/27) (383,-748) (383,365) (3601/9,-6161/27) (-373,-15763) (3601/9,-4642/27) (-373,16136) (522709/1296,-2752651/46656) (81863/484,-77143219/10648) (522709/1296,-16064873/46656) (81863/484,75342233/10648) (6474649/8649,-11359780655/804357) (6474649/8649,10757638298/804357) (1994963/5041,-28589840/357911) (1994963/5041,-113052533/357911) (131329741/65025,-1443464554829/16581375) (131329741/65025,1409975470874/16581375) # # a-invariants: (1, -1, 1, -81, 11797) # Cremona label: 742f1 # # # a-invariants: (1, 1, 1, -14, 75) # Cremona label: 742g1 # (9,-33) (9,23) (1,7) (1,-9) (-5,9) (-5,-5) (-3,11) (-3,-9) (25/9,-275/27) (25/9,173/27) (21,-109) (21,87) (79,667) (79,-747) (121/25,-1909/125) (121/25,1179/125) (-159/169,-20701/2197) (-159/169,20571/2197) (-209/36,581/216) (-209/36,457/216) (-1335/1681,633015/68921) (-1335/1681,-647201/68921) (12097/2401,-1874921/117649) (12097/2401,1164519/117649) (76855/841,20308871/24389) (76855/841,-22562055/24389) (-45552029/9320809,-154493909449/28456429877) (-45552029/9320809,265107824109/28456429877) (103282921/91795561,6049970550131/879493269941) (103282921/91795561,-7919017486173/879493269941) (8980834417/553536,847780797362909/411830784) (8980834417/553536,-854462949999941/411830784) # # a-invariants: (0, -1, 0, 4, -3) # Cremona label: 744a1 # (2,-3) (2,3) (1,-1) (1,1) (14,-51) (14,51) (21/4,93/8) (21/4,-93/8) (134/169,447/2197) (134/169,-447/2197) (1033/289,-32659/4913) (1033/289,32659/4913) (40394/1225,-8009247/42875) (40394/1225,8009247/42875) (171313/138384,-78350849/51478848) (171313/138384,78350849/51478848) # # a-invariants: (0, 1, 0, -279, -1890) # Cremona label: 744b1 # (-10,0) # # a-invariants: (0, 1, 0, -284, -1824) # Cremona label: 744b2 # (-12,0) (19,0) (-8,0) # # a-invariants: (0, 1, 0, -904, 8096) # Cremona label: 744b3 # (23,0) (-4,-108) (-4,108) # # a-invariants: (0, 1, 0, 256, -7440) # Cremona label: 744b4 # (15,0) # # a-invariants: (0, 1, 0, 8, 89) # Cremona label: 744c1 # (8,27) (8,-27) (-1,-9) (-1,9) (-4,3) (-4,-3) (5/4,81/8) (5/4,-81/8) (20,93) (20,-93) (71,603) (71,-603) (176/49,-4563/343) (176/49,4563/343) (-47/16,-447/64) (-47/16,447/64) (-1696/625,-115533/15625) (-1696/625,115533/15625) (3863/961,-423693/29791) (3863/961,423693/29791) (27236/289,4520883/4913) (27236/289,-4520883/4913) (312101/17956,-182948463/2406104) (312101/17956,182948463/2406104) (-5712145/1399489,-3705629409/1655595487) (-5712145/1399489,3705629409/1655595487) # # a-invariants: (0, -1, 0, 936, -25839) # Cremona label: 744d1 # # # a-invariants: (0, -1, 0, -32, -84) # Cremona label: 744e1 # # # a-invariants: (0, -1, 0, -140, 753) # Cremona label: 744f1 # (44,-279) (44,279) (13,31) (13,-31) (8,-9) (8,9) (21/4,-93/8) (21/4,93/8) (-16/25,3627/125) (-16/25,-3627/125) (-11,29) (-11,-29) (-1372/121,-36549/1331) (-1372/121,36549/1331) (-143/144,-51553/1728) (-143/144,51553/1728) (1844/361,-82611/6859) (1844/361,82611/6859) (33349/4225,2416357/274625) (33349/4225,-2416357/274625) (847904/67081,-504479709/17373979) (847904/67081,504479709/17373979) (137397/3364,48386493/195112) (137397/3364,-48386493/195112) (46710488/1681,-319237390881/68921) (46710488/1681,319237390881/68921) # # a-invariants: (0, 1, 0, -96, 333) # Cremona label: 744g1 # (6,-3) (6,3) (3,9) (3,-9) (-6,-27) (-6,27) (21/4,-9/8) (21/4,9/8) (18,-69) (18,69) (11,-27) (11,27) (126/25,201/125) (126/25,-201/125) (-159/16,-1287/64) (-159/16,1287/64) (1182/289,24813/4913) (1182/289,-24813/4913) (3531/529,-71109/12167) (3531/529,71109/12167) (7746/49,682611/343) (7746/49,-682611/343) (16453/2916,263519/157464) (16453/2916,-263519/157464) (-219309/112225,854795439/37595375) (-219309/112225,-854795439/37595375) (51029553/1308736,-358671820599/1497193984) (51029553/1308736,358671820599/1497193984) # # a-invariants: (1, -1, 1, -56, -134) # Cremona label: 747a1 # (-5,2) (22,-106) (-4,-2) (-4,5) (22,83) (431/49,-1420/343) (-2057/676,19843/17576) (431/49,-1940/343) (-2057/676,16063/17576) (-1547036/393129,1219155215/246491883) (-1547036/393129,-495655526/246491883) (153714590201/13249600,59984292346316729/48228544000) (153714590201/13249600,-60543861683192369/48228544000) # # a-invariants: (1, -1, 1, -191, 892) # Cremona label: 747a2 # (43/4,-47/8) (-10,46) (-10,-37) (4,11) (4,-16) (1087/49,-33109/343) (1087/49,25157/343) (23,79) (23,-103) (4216/1089,-597692/35937) (4216/1089,422627/35937) (-3470/361,317774/6859) (-3470/361,-258703/6859) (18562021/400,-80156961929/8000) (356183/33124,-39348427/6028568) (18562021/400,79785713509/8000) (356183/33124,-31505447/6028568) # # a-invariants: (1, -1, 0, -6, 7) # Cremona label: 747b1 # (2,-1) # # a-invariants: (1, -1, 0, -21, -26) # Cremona label: 747b2 # (-13/4,13/8) # # a-invariants: (1, -1, 0, -495, -4118) # Cremona label: 747c1 # (26,-4) (26,-22) (27351/4,4495723/8) (27351/4,-4550425/8) # # a-invariants: (1, -1, 0, 9, 4) # Cremona label: 747d1 # (0,2) (0,-2) (93/16,-1151/64) (93/16,779/64) (30880/8649,5393326/804357) (30880/8649,-8265166/804357) # # a-invariants: (1, -1, 1, 13, -12) # Cremona label: 747e1 # (2,3) (2,-6) (3,-9) (3,5) (128,-1509) (128,1380) (267/196,-10893/2744) (267/196,4411/2744) (71696/15625,16898244/1953125) (71696/15625,-27813369/1953125) # # a-invariants: (0, 0, 0, -496, -4252) # Cremona label: 748a1 # # # a-invariants: (1, 0, 0, -4, -5) # Cremona label: 749a1 # (3,2) (3,-5) (6,-17) (6,11) (223/9,3001/27) (223/9,-3670/27) (1845/784,-24415/21952) (1845/784,-27245/21952) (646047/28561,465409667/4826809) (646047/28561,-574591610/4826809) # # a-invariants: (0, 0, 0, 5, 42) # Cremona label: 752a1 # (-3,0) (-1,-6) (13,48) (-1,6) (13,-48) (141/49,3072/343) (22/9,-224/27) (141/49,-3072/343) (22/9,224/27) (-11699/9025,4950576/857375) (15167/961,1896390/29791) (-11699/9025,-4950576/857375) (15167/961,-1896390/29791) (-5382527/1806336,1946133953/2427715584) (-5382527/1806336,-1946133953/2427715584) # # a-invariants: (0, 0, 0, -155, 714) # Cremona label: 752a2 # (6,0) (53,-376) (53,376) (5,8) (5,-8) (7/9,658/27) (15,-42) (7/9,-658/27) (15,42) (3341/361,58280/6859) (-211/25,-4712/125) (-211/25,4712/125) (3341/361,-58280/6859) (3670/441,-6112/9261) (-14583/1024,-188517/32768) (-14583/1024,188517/32768) (3670/441,6112/9261) (10487117/1075369,12709090648/1115157653) (10487117/1075369,-12709090648/1115157653) (151658511/8673025,1478434766634/25542058625) (151658511/8673025,-1478434766634/25542058625) # # a-invariants: (0, -1, 1, -4, -3) # Cremona label: 753a1 # # # a-invariants: (0, 1, 1, -9, 20) # Cremona label: 753b1 # (0,-5) (0,4) # # a-invariants: (0, 1, 1, 81, -475) # Cremona label: 753b2 # # # a-invariants: (0, 1, 1, 5, 7) # Cremona label: 753c1 # (-1,1) (-1,-2) (5,-14) (5,13) (5/4,-37/8) (5/4,29/8) (1/9,-89/27) (1/9,62/27) (371/25,7406/125) (371/25,-7531/125) (-2551/1936,-70861/85184) (-2551/1936,-14323/85184) (58115/1681,14206598/68921) (58115/1681,-14275519/68921) # # a-invariants: (1, 0, 1, -377, 2782) # Cremona label: 754a1 # (10,1) (10,-12) # # a-invariants: (1, 0, 1, 338, 11752) # Cremona label: 754a2 # # # a-invariants: (1, 0, 1, -10758, 428760) # Cremona label: 754b1 # (60,-45) (60,-16) (-114,477) (-114,-364) (2131/36,-2963/216) (2131/36,-10039/216) (1350,-50140) (1350,48789) (2815956/46225,-101677491/9938375) (2815956/46225,-513691424/9938375) (-161136455/2143296,2947340787001/3137785344) (-161136455/2143296,-2714574802225/3137785344) # # a-invariants: (1, 0, 1, -7, -6) # Cremona label: 754c1 # (-1,0) (-2,0) (3,-4) (-2,1) (3,0) (24,105) (24,-130) (-29/25,104/125) (-29/25,-84/125) (-1117/676,-13209/17576) (2263/441,-122200/9261) (2263/441,65416/9261) (-1117/676,24675/17576) (-616541/395641,342311340/248858189) (-616541/395641,-203365240/248858189) (340416/55225,136081634/12977875) (340416/55225,-229057269/12977875) (3119847607969/970193480256,881989768409563085/955625054956475904) (3119847607969/970193480256,-4910614799653776485/955625054956475904) # # a-invariants: (1, 0, 1, 13, -30) # Cremona label: 754c2 # (7/4,-11/8) (9,-34) (5,-16) (9,24) (5,10) (96,894) (2,-4) (96,-991) (2,1) (175/9,-2642/27) (151/49,-2962/343) (175/9,2090/27) (151/49,1562/343) (596/25,13229/125) (596/25,-16334/125) (6222/2209,-790961/103823) (6222/2209,394704/103823) (183621/2809,-83893968/148877) (183621/2809,74013178/148877) (1335307/298116,1378266791/162771336) (1335307/298116,-2270115749/162771336) (33792661/3254416,174729423131/5870966464) (33792661/3254416,-241562350039/5870966464) (2103272345/978121,95424309625720/967361669) (2103272345/978121,-97505413336594/967361669) (122483324156/21849274225,38307502775003326/3229650469568375) (122483324156/21849274225,-59642025804690841/3229650469568375) # # a-invariants: (1, 0, 0, 43, -31) # Cremona label: 754d1 # (14,-65) (14,51) (2,7) (2,-9) (10/9,-131/27) (10/9,101/27) (8,-33) (8,25) (188,2487) (188,-2675) (250/9,3701/27) (250/9,-4451/27) (3362/961,330921/29791) (3362/961,-435143/29791) (614/841,-32245/24389) (614/841,14439/24389) (38551/8100,-14087519/729000) (38551/8100,10617929/729000) # # a-invariants: (0, 0, 1, 2, -1) # Cremona label: 755a1 # (1,1) (1,-2) (7/9,-44/27) (7/9,17/27) (553/4,-13009/8) (553/4,13001/8) (43387/33489,-15345224/6128487) (43387/33489,9216737/6128487) (93499786081/2706080400,28543410056225521/140770302408000) (93499786081/2706080400,-28684180358633521/140770302408000) # # a-invariants: (1, 0, 1, 1, 1) # Cremona label: 755b1 # (1,-3) (1,1) (-11/16,-3/64) (-11/16,-17/64) (505/729,15931/19683) (505/729,-49249/19683) (437809/3136,277609683/175616) (437809/3136,-302302603/175616) # # a-invariants: (1, 0, 1, 1, -3) # Cremona label: 755c1 # (1,-1) # # a-invariants: (1, 0, 1, -24, -43) # Cremona label: 755c2 # (-9/4,5/8) # # a-invariants: (0, 1, 1, 0, 1) # Cremona label: 755d1 # # # a-invariants: (0, 0, 1, -7, 7) # Cremona label: 755e1 # # # a-invariants: (0, 0, 1, -56917, -5226543) # Cremona label: 755f1 # # # a-invariants: (0, 0, 0, -432, 3348) # Cremona label: 756a1 # # # a-invariants: (0, 0, 0, -24, -44) # Cremona label: 756b1 # (-3,1) (-3,-1) (33/4,143/8) (33/4,-143/8) (-4931/2025,4753/91125) (-4931/2025,-4753/91125) (2913153/327184,3961923263/187149248) (2913153/327184,-3961923263/187149248) (-22716872643/7490729401,-612432137140559/648315138927149) (-22716872643/7490729401,612432137140559/648315138927149) # # a-invariants: (0, 0, 0, -264, 1636) # Cremona label: 756b2 # (12,14) (12,-14) (5,-21) (8,6) (-16,42) (8,-6) (-16,-42) (5,21) (20,-66) (68,-546) (41/4,-21/8) (41/4,21/8) (20,66) (68,546) (-32/9,1358/27) (216/25,14/125) (-3,-49) (-3,49) (216/25,-14/125) (-32/9,-1358/27) (1244/121,3882/1331) (1193/16,-40299/64) (1244/121,-3882/1331) (3260/169,134022/2197) (1193/16,40299/64) (3260/169,-134022/2197) (-8704/529,475194/12167) (-8704/529,-475194/12167) (22277/2809,954597/148877) (26360/5041,7144746/357911) (26360/5041,-7144746/357911) (22277/2809,-954597/148877) (798804/25,-713937658/125) (798804/25,713937658/125) (113793/9604,12321023/941192) (113793/9604,-12321023/941192) # # a-invariants: (0, 0, 0, -48, -124) # Cremona label: 756c1 # (-4,-2) (-4,2) (8,-2) (8,2) (-35/9,53/27) (-35/9,-53/27) (1280,-45794) (1280,45794) (831889/101124,-197832889/32157432) (831889/101124,197832889/32157432) # # a-invariants: (0, 0, 0, -216, 1188) # Cremona label: 756d1 # (12,-18) (12,18) # # a-invariants: (0, 0, 0, -2376, -44172) # Cremona label: 756d2 # # # a-invariants: (0, 0, 0, 9, -2) # Cremona label: 756e1 # # # a-invariants: (0, 0, 0, -111, 502) # Cremona label: 756e2 # (3,14) (3,-14) # # a-invariants: (0, 0, 0, 81, 54) # Cremona label: 756f1 # (3,-18) (3,18) # # a-invariants: (0, 0, 0, -999, -13554) # Cremona label: 756f2 # # # a-invariants: (1, 0, 1, 11, 0) # Cremona label: 758a1 # (3,6) (3,-10) (0,-1) (0,0) (43/9,274/27) (43/9,-430/27) (132,1452) (132,-1585) (3435/1849,-540942/79507) (3435/1849,313730/79507) (3037/17424,-4813645/2299968) (3037/17424,2112793/2299968) # # a-invariants: (1, 1, 1, -44, -131) # Cremona label: 758b1 # # # a-invariants: (1, 1, 1, -23, -628) # Cremona label: 759a1 # (9,-5) (10,-22) (10,11) (252,-4136) (252,3883) (6543/484,370309/10648) (565/9,-14369/27) (565/9,12647/27) (6543/484,-524903/10648) (4930834/225625,9446940998/107171875) (4930834/225625,-11896259023/107171875) # # a-invariants: (1, 1, 1, -1238, -17152) # Cremona label: 759a2 # (-77/4,73/8) (44,-149) (-22,16) (44,104) (-22,5) (253,3866) (-179/9,2/27) (253,-4120) (-179/9,508/27) (32582/361,5072779/6859) (32582/361,-5698696/6859) (-13024/625,-22976/15625) (-13024/625,332951/15625) (293143/4356,121930355/287496) (293143/4356,-141565289/287496) # # a-invariants: (1, 0, 0, 31, -192) # Cremona label: 759b1 # (13,-56) (13,43) (4,-2) (19/4,-85/8) (31,160) (19/4,47/8) (7,-23) (31,-191) (112,-1244) (112,1132) (7,16) (1777/64,-83509/512) (1777/64,69293/512) (1261/9,42961/27) (5629/1225,212897/42875) (1252/169,38878/2197) (1261/9,-46744/27) (5629/1225,-409912/42875) (1252/169,-55154/2197) (5300839/529,-12265527472/12167) (5300839/529,12143608175/12167) # # a-invariants: (1, 0, 0, -374, -2541) # Cremona label: 759b2 # (-11,22) (-14,7) (55,-407) (-11,-11) (-33/4,33/8) (22,-11) (55,352) (-155/16,-587/64) (1177/49,12958/343) (-341/25,1892/125) (34,-173) (-155/16,1207/64) (-2090/169,46981/2197) (1177/49,-21197/343) (561,13002) (-77/9,308/27) (-2090/169,-19811/2197) (451/4,8987/8) (561,-13563) (-77/9,-77/27) (451/4,-9889/8) (-341/25,-187/125) (34,139) (6986815/277729,7564621031/146363183) (1551286/11025,-1996085531/1157625) (337177/10816,-161314009/1124864) (337177/10816,126247601/1124864) (1551286/11025,1833200501/1157625) (6986815/277729,-11246672536/146363183) # # a-invariants: (1, 0, 0, -5819, -171336) # Cremona label: 759b3 # (-177/4,177/8) (-44,22) (88,-44) (-9944/225,78584/3375) (-119123/2704,2930563/140608) (27588/49,-4635378/343) (-119123/2704,3263833/140608) (27588/49,4442262/343) (-9944/225,70576/3375) (499/4,7691/8) (499/4,-8689/8) (17872665001/119246400,-2084853498067159/1302170688000) (17872665001/119246400,1889683996256239/1302170688000) # # a-invariants: (1, 0, 0, -1409, 17538) # Cremona label: 759b4 # (58,334) (111/4,-111/8) (58,-392) (3,114) (-83/9,-4534/27) (-41,103) (361/25,1094/125) (361/25,-2899/125) (3,-117) (-41,-62) (-83/9,4783/27) (12994/441,258628/9261) (12994/441,-531502/9261) (14034/25,1624188/125) (14034/25,-1694358/125) (77323/676,19462919/17576) (77323/676,-21473317/17576) (613/16,7861/64) (613/16,-10313/64) (1869547/178929,-5172682114/75686967) (-54214151/1874161,512287936462/2565726409) (-54214151/1874161,-438068763743/2565726409) (1869547/178929,4381863733/75686967) # # a-invariants: (1, 0, 0, -93104, -10942305) # Cremona label: 759b5 # (-705/4,705/8) (117555/196,32678505/2744) (-107230451/608400,41819274583/474552000) (117555/196,-34324275/2744) (-107230451/608400,41820477197/474552000) # # a-invariants: (1, 0, 0, -5654, -181467) # Cremona label: 759b6 # (351/4,-351/8) (112099/900,25991797/27000) (112099/900,-29354767/27000) (74590749/132496,-651827074683/48228544) (74590749/132496,624676042047/48228544) # # a-invariants: (0, -1, 0, 5, 0) # Cremona label: 760a1 # (0,0) # # a-invariants: (0, -1, 0, -20, 20) # Cremona label: 760a2 # (1,0) # # a-invariants: (0, 1, 0, -26035, -1626942) # Cremona label: 760b1 # (186,0) # # a-invariants: (0, 1, 0, -416660, -103658192) # Cremona label: 760b2 # (-373,0) # # a-invariants: (0, 0, 0, -67, 926) # Cremona label: 760c1 # # # a-invariants: (0, 1, 0, -35, 58) # Cremona label: 760d1 # (2,0) (21,-95) (1,5) (21,95) (1,-5) (6,10) (-11/4,95/8) (6,-10) (-11/4,-95/8) (-7,3) (37/9,-19/27) (37/9,19/27) (-7,-3) (81/16,385/64) (-206/49,4180/343) (-206/49,-4180/343) (81/16,-385/64) (3789/289,221065/4913) (49/169,-15215/2197) (49/169,15215/2197) (3789/289,-221065/4913) (2518/9,126550/27) (4829/2500,-144267/125000) (2518/9,-126550/27) (4829/2500,144267/125000) (2870121/379456,3933641515/233744896) (2870121/379456,-3933641515/233744896) # # a-invariants: (0, 1, 0, 60, 400) # Cremona label: 760d2 # (-5,0) (20,-100) (0,-20) (20,100) (0,20) (15,-70) (5/4,175/8) (5/4,-175/8) (15,70) (-44/9,-100/27) (1120,-37500) (-44/9,100/27) (1120,37500) (3315/121,-203420/1331) (-895/784,399575/21952) (-895/784,-399575/21952) (3315/121,203420/1331) (556820/48841,560431100/10793861) (556820/48841,-560431100/10793861) (6293461/22500,15822645209/3375000) (6293461/22500,-15822645209/3375000) # # a-invariants: (0, 0, 0, -2, 21) # Cremona label: 760e1 # (-3,0) (2,5) (2,-5) (-2/9,125/27) (17,70) (-2/9,-125/27) (-7/4,-35/8) (17,-70) (6,-15) (6,15) (-7/4,35/8) (-2278/961,104995/29791) (-2278/961,-104995/29791) (3273/784,202875/21952) (4442/121,-295895/1331) (109/225,-15148/3375) (109/225,15148/3375) (4442/121,295895/1331) (3273/784,-202875/21952) (37819438/227529,232572242125/108531333) (37819438/227529,-232572242125/108531333) # # a-invariants: (0, 0, 0, -127, 546) # Cremona label: 760e2 # (7,0) (6,0) (-13,0) (73/9,190/27) (-3,-30) (73/9,-190/27) (5,6) (25,114) (25,-114) (-3,30) (5,-6) (73/4,525/8) (79/9,280/27) (-21/25,-3192/125) (218/49,2850/343) (79/9,-280/27) (-21/25,3192/125) (73/4,-525/8) (218/49,-2850/343) (-3595/289,69642/4913) (16773/2809,-111690/148877) (53857/81,-12496870/729) (-3595/289,-69642/4913) (16773/2809,111690/148877) (53857/81,12496870/729) (1351081/176400,352174229/74088000) (4341967/116281,8675259600/39651821) (4341967/116281,-8675259600/39651821) (1351081/176400,-352174229/74088000) # # a-invariants: (0, 0, 0, -227, -434) # Cremona label: 760e3 # (-14,0) (235/9,-2888/27) (-5,24) (235/9,2888/27) (-5,-24) (721/36,11935/216) (-4154/1225,-738606/42875) (-4154/1225,738606/42875) (721/36,-11935/216) (-10933565/811801,9819359064/731432701) (-10933565/811801,-9819359064/731432701) (779444249761/20511968400,-628768283755678991/2937724114248000) (779444249761/20511968400,628768283755678991/2937724114248000) # # a-invariants: (0, 0, 0, -2027, 35126) # Cremona label: 760e4 # (26,0) (35,-84) (235/9,28/27) (35,84) (235/9,-28/27) (3041/100,-40089/1000) (3041/100,40089/1000) (11566/441,-19090/9261) (11566/441,19090/9261) (15577795/23409,61346353292/3581577) (15577795/23409,-61346353292/3581577) # # a-invariants: (1, 0, 1, -6, -8) # Cremona label: 762a1 # # # a-invariants: (1, 0, 1, -17677, -9208) # Cremona label: 762b1 # # # a-invariants: (1, 0, 1, -10, -10) # Cremona label: 762c1 # (-2,2) (-2,-1) (4,-7) (4,2) (-5/4,-5/8) (-5/4,7/8) (12,-47) (12,34) (-122/49,209/343) (-122/49,302/343) (985/64,26305/512) (985/64,-34697/512) (-3674/2809,-115589/148877) (-3674/2809,161434/148877) (24508/6561,453329/531441) (24508/6561,-2969918/531441) (-955469/504100,708334849/357911000) (-955469/504100,-387862859/357911000) (39717652/47089,246029302226/10218313) (39717652/47089,-254658251023/10218313) # # a-invariants: (1, 1, 1, -21, 27) # Cremona label: 762d1 # (1,2) (1,-4) (3,-4) (3,0) (-5,-4) (-5,8) (5,-12) (5,6) (7/4,-17/8) (7/4,-5/8) (21,-108) (21,86) (-29/25,904/125) (-29/25,-884/125) (211/81,-1376/729) (211/81,-1252/729) (-263/169,17402/2197) (-263/169,-16180/2197) (1065/64,-39393/512) (1065/64,30361/512) (10585/5929,-896372/456533) (10585/5929,-375206/456533) (108647413/77841,1117810071404/21717639) (108647413/77841,-1148144417270/21717639) # # a-invariants: (1, 0, 0, -267, 1521) # Cremona label: 762e1 # (6,9) (6,-15) (30,129) (30,-159) (-6,-51) (-6,57) (12,3) (12,-15) (-18,-15) (-18,33) (14,-31) (14,17) (0,-39) (0,39) (66,-555) (66,489) (174/25,-3/125) (174/25,-867/125) (246,-3975) (246,3729) (15/4,177/8) (15/4,-207/8) (166/9,1219/27) (166/9,-1717/27) (-642/49,-15945/343) (-642/49,20439/343) (1938/169,-13155/2197) (1938/169,-12039/2197) (-1536/121,-63291/1331) (-1536/121,80187/1331) (15870/841,-1629291/24389) (15870/841,1169061/24389) (6606/1681,-1731495/68921) (6606/1681,1460649/68921) (6956/25,-596819/125) (6956/25,562039/125) (-31434/104329,1353614379/33698267) (-31434/104329,-1343461197/33698267) (905817/65536,266210013/16777216) (905817/65536,-498099165/16777216) (-5085498/279841,4499745465/148035889) (-5085498/279841,-1809517023/148035889) (-16906710/3024121,295292366871/5258946419) (-16906710/3024121,-265891598181/5258946419) (11170521534/162409,-1182873078876165/65450827) (11170521534/162409,1178371358697963/65450827) # # a-invariants: (1, 0, 0, -8, -216) # Cremona label: 762f1 # (10,-32) (10,22) # # a-invariants: (1, 0, 0, -2978, -62802) # Cremona label: 762f2 # # # a-invariants: (1, 0, 0, -101946, 12401892) # Cremona label: 762g1 # (276,2166) (276,-2442) (204,-426) (852,-23754) (852,22902) (204,222) # # a-invariants: (1, 0, 0, -22361106, -40701264948) # Cremona label: 762g2 # # # a-invariants: (0, 0, 1, -5, 10) # Cremona label: 763a1 # (-2,3) (-2,-4) (5,-11) (5,10) (1,-3) (1,2) (10/9,53/27) (10/9,-80/27) (73/16,-613/64) (73/16,549/64) (-46/25,-517/125) (-46/25,392/125) (1993,-88974) (1993,88973) (-6995/3249,522602/185193) (-6995/3249,-707795/185193) (27766/5041,4201837/357911) (27766/5041,-4559748/357911) # # a-invariants: (1, -1, 0, -150, 791) # Cremona label: 765a1 # (-14,7) # # a-invariants: (1, -1, 0, -2445, 47150) # Cremona label: 765a2 # (115/4,-115/8) # # a-invariants: (1, -1, 1, -17, -24) # Cremona label: 765b1 # (5,-3) # # a-invariants: (1, -1, 1, -272, -1656) # Cremona label: 765b2 # (-37/4,33/8) # # a-invariants: (1, -1, 1, -77, 276) # Cremona label: 765c1 # (5,-3) (-4,24) (6,-6) (6,-1) (-4,-21) (11/4,-87/8) (11/4,57/8) (9,11) (9,-21) (214/9,-3227/27) (764/169,-57/2197) (214/9,2558/27) (764/169,-12072/2197) (-6091/625,-9723/15625) (-6091/625,146373/15625) (5745/1024,-101529/32768) (5745/1024,-115079/32768) (661494/17689,473816498/2352637) (661494/17689,-564147837/2352637) # # a-invariants: (1, -1, 1, -32, 564) # Cremona label: 765c2 # (-37/4,33/8) (12,-49) (2,-24) (2,21) (12,36) (29,-168) (-3,26) (-3,-24) (29,138) (-62/9,-473/27) (-62/9,632/27) (92,831) (92,-924) (1457/256,-109329/4096) (27/4,-231/8) (27/4,169/8) (1457/256,81921/4096) (-2788/361,-96171/6859) (-2788/361,142284/6859) (7218/49,-636712/343) (7218/49,585843/343) (35437/1521,5796344/59319) (35437/1521,-7237706/59319) (1636562/116281,-2382075759/39651821) (1636562/116281,1784356296/39651821) (-5846559/640000,4745959839/512000000) (-5846559/640000,-580712639/512000000) # # a-invariants: (1, 1, 0, 11, 45) # Cremona label: 766a1 # # # a-invariants: (0, -1, 0, -23, 51) # Cremona label: 768a1 # (3,0) (2,-3) (5,6) (2,3) (5,-6) (13/4,1/8) (-5,4) (-5,-4) (13/4,-1/8) (26/25,-651/125) (26/25,651/125) (197/49,930/343) (197/49,-930/343) (3235/1089,9208/35937) (3235/1089,-9208/35937) (1137/16,-37983/64) (1137/16,37983/64) (123722/48841,17322267/10793861) (123722/48841,-17322267/10793861) (15607789/4708900,4494759487/10218313000) (15607789/4708900,-4494759487/10218313000) # # a-invariants: (0, -1, 0, -13, 85) # Cremona label: 768a2 # (-5,0) (3,8) (4,-9) (4,9) (3,-8) (283,4752) (283,-4752) (-19/4,33/8) (-19/4,-33/8) (2524/1225,339543/42875) (4995/961,340760/29791) (4995/961,-340760/29791) (2524/1225,-339543/42875) (1237681/17424,1365584383/2299968) (1237681/17424,-1365584383/2299968) # # a-invariants: (0, -1, 0, 1, 3) # Cremona label: 768b1 # (-1,0) (2,-3) (1,-2) (2,3) (1,2) (23,108) (-3/4,9/8) (-3/4,-9/8) (23,-108) (193/49,2486/343) (193/49,-2486/343) (26/121,2373/1331) (26/121,-2373/1331) (-1249/9025,1444824/857375) (7729/1296,635455/46656) (-1249/9025,-1444824/857375) (7729/1296,-635455/46656) # # a-invariants: (0, -1, 0, -29, 69) # Cremona label: 768b2 # (3,0) (4,-1) (4,1) (-5,-8) (-5,8) (93/4,-855/8) (211/81,1520/729) (211/81,-1520/729) (93/4,855/8) (30556/5929,-2494927/456533) (30556/5929,2494927/456533) (79831921/11696400,477413522081/40001688000) (79831921/11696400,-477413522081/40001688000) # # a-invariants: (0, -1, 0, -159, -765) # Cremona label: 768b3 # (15,0) (258,-4131) (17,34) (17,-34) (258,4131) (75421/1156,20130489/39304) (75421/1156,-20130489/39304) # # a-invariants: (0, -1, 0, -2589, -49851) # Cremona label: 768b4 # (-29,0) (-8389/289,-1928/4913) (-8389/289,1928/4913) (260,4097) (260,-4097) # # a-invariants: (0, 1, 0, -23, -51) # Cremona label: 768c1 # (-3,0) # # a-invariants: (0, 1, 0, -13, -85) # Cremona label: 768c2 # (5,0) # # a-invariants: (0, 1, 0, -7, 5) # Cremona label: 768d1 # (1,0) # # a-invariants: (0, 1, 0, 3, 27) # Cremona label: 768d2 # (-3,0) # # a-invariants: (0, 1, 0, -647, -6555) # Cremona label: 768d3 # (-15,0) # # a-invariants: (0, 1, 0, -637, -6757) # Cremona label: 768d4 # (29,0) # # a-invariants: (0, -1, 0, -3, -9) # Cremona label: 768e1 # (3,0) # # a-invariants: (0, -1, 0, -93, -315) # Cremona label: 768e2 # (-5,0) # # a-invariants: (0, -1, 0, -7, -5) # Cremona label: 768f1 # (-1,0) # # a-invariants: (0, -1, 0, 3, -27) # Cremona label: 768f2 # (3,0) # # a-invariants: (0, -1, 0, -647, 6555) # Cremona label: 768f3 # (15,0) # # a-invariants: (0, -1, 0, -637, 6757) # Cremona label: 768f4 # (-29,0) # # a-invariants: (0, 1, 0, -3, 9) # Cremona label: 768g1 # (-3,0) (0,3) (3,-6) (3,6) (0,-3) (5,12) (5,-12) (-3/4,-27/8) (-3/4,27/8) (-69/25,246/125) (72,615) (-69/25,-246/125) (72,-615) (97/144,4807/1728) (1005/529,-45144/12167) (1005/529,45144/12167) (97/144,-4807/1728) (42987/4489,9270678/300763) (42987/4489,-9270678/300763) (2988861/168100,-5290692309/68921000) (2988861/168100,5290692309/68921000) (-31204458623/13309775424,4514387731399583/1535522171116032) (-31204458623/13309775424,-4514387731399583/1535522171116032) # # a-invariants: (0, 1, 0, -93, 315) # Cremona label: 768g2 # (5,0) (6,3) (6,-3) (-3,24) (-3,-24) (29/4,69/8) (13/9,-368/27) (13/9,368/27) (29/4,-69/8) (8205/1681,74760/68921) (1806/25,-76629/125) (8205/1681,-74760/68921) (1806/25,76629/125) (424561/76176,19522063/21024576) (-391003/43681,206242656/9129329) (424561/76176,-19522063/21024576) (-391003/43681,-206242656/9129329) # # a-invariants: (0, 1, 0, 1, -3) # Cremona label: 768h1 # (1,0) (3,6) (4,-9) (4,9) (3,-6) (217,-3204) (217,3204) (37/36,89/216) (37/36,-89/216) (27939/5041,-5105826/357911) (27939/5041,5105826/357911) # # a-invariants: (0, 1, 0, -29, -69) # Cremona label: 768h2 # (-3,0) (-35/9,-8/27) (6,3) (-35/9,8/27) (6,-3) (7813/36,-691975/216) (7813/36,691975/216) # # a-invariants: (0, 1, 0, -159, 765) # Cremona label: 768h3 # (-15,0) (12,27) (12,-27) (3,-18) (3,18) (9,12) (9,-12) (21/4,-81/8) (21/4,81/8) (-12,-33) (147,1782) (-12,33) (147,-1782) (-15/16,1935/64) (489/25,9288/125) (489/25,-9288/125) (-15/16,-1935/64) (3972/529,-86751/12167) (323/49,-2346/343) (323/49,2346/343) (3972/529,86751/12167) (18021/484,-2329191/10648) (-15999/2809,-5801004/148877) (-15999/2809,5801004/148877) (18021/484,2329191/10648) (155292/3481,59682327/205379) (155292/3481,-59682327/205379) (22847601/2958400,-38525469399/5088448000) (22847601/2958400,38525469399/5088448000) (-5542692/63091249,13986710598069/501133790807) (-5542692/63091249,-13986710598069/501133790807) (-3480646139/269682084,-127880540776169/4428719183448) (-3480646139/269682084,127880540776169/4428719183448) # # a-invariants: (0, 1, 0, -2589, 49851) # Cremona label: 768h4 # (29,0) (21,-72) (30,-9) (30,9) (21,72) (-3,-240) (117/4,-15/8) (-3,240) (117/4,15/8) (3501/121,-1272/1331) (150,1749) (3501/121,1272/1331) (150,-1749) (13449/400,352557/8000) (13449/400,-352557/8000) (50421/1849,-1311840/79507) (50421/1849,1311840/79507) (-131939/2601,30604168/132651) (754310/25921,-1211811/4173281) (-131939/2601,-30604168/132651) (754310/25921,1211811/4173281) (63270813/1359556,284993877915/1585242296) (63270813/1359556,-284993877915/1585242296) # # a-invariants: (1, 1, 0, -3, -7) # Cremona label: 770a1 # (2,-1) # # a-invariants: (1, 1, 0, -73, -273) # Cremona label: 770a2 # (-21/4,21/8) # # a-invariants: (1, 0, 1, -914, 10596) # Cremona label: 770b1 # (-35,17) (21,17) (14,17) (21,-39) (14,-32) # # a-invariants: (1, 0, 1, -14634, 680132) # Cremona label: 770b2 # (279/4,-283/8) (70,-39) (56,-221) (56,164) (70,-32) # # a-invariants: (1, 0, 1, 2271, 56852) # Cremona label: 770b3 # (-21,10) # # a-invariants: (1, 0, 1, -15649, 580116) # Cremona label: 770b4 # (167/4,-171/8) # # a-invariants: (1, -1, 0, -12089, -612755) # Cremona label: 770c1 # (130,-65) # # a-invariants: (1, -1, 0, -204169, -35456067) # Cremona label: 770c2 # (-1037/4,1037/8) (522,-261) (-262,131) # # a-invariants: (1, -1, 0, -3266669, -2271693567) # Cremona label: 770c3 # (-4173/4,4173/8) # # a-invariants: (1, -1, 0, -214949, -31495495) # Cremona label: 770c4 # (2099/4,-2099/8) (1306,43097) (1306,-44403) # # a-invariants: (1, 0, 1, 32, 558) # Cremona label: 770d1 # (-7,3) (9,-45) (4,-30) (4,25) (9,35) (-6,15) (-6,-10) (169,2115) (169,-2285) (71/4,-735/8) (1/9,-655/27) (71/4,585/8) (1/9,625/27) (42,-298) (-167/49,-6539/343) (-167/49,7365/343) (42,255) (4929/121,-379655/1331) (4929/121,324105/1331) (-1196/361,-132125/6859) (-1196/361,147990/6859) (1/2304,2557705/110592) (1/2304,-2668345/110592) (-844359/142129,-554509925/53582633) (-844359/142129,819250635/53582633) (4281182761/23409,-280448693496325/3581577) (4281182761/23409,279793668952315/3581577) # # a-invariants: (1, 0, 1, -848, 9006) # Cremona label: 770d2 # (55/4,-59/8) (45,227) (5,-73) (45,-273) (5,67) (20,-23) (-30,-73) (20,2) (-30,102) (-95/9,-3371/27) (25,47) (-95/9,3629/27) (25,-73) (12,-31) (12,18) (170,-2273) (170,2102) (1445/121,24637/1331) (1445/121,-41863/1331) (165,-2173) (165,2007) (-695/64,69199/512) (-695/64,-64151/512) (895/36,-15493/216) (895/36,9907/216) (16845/841,-571697/24389) (-5035/169,228539/2197) (16845/841,58803/24389) (-5035/169,-165281/2197) (2234/49,-95878/343) (2234/49,79897/343) (731545,625327727) (321865/23409,-25268401/3581577) (321865/23409,-27558521/3581577) (731545,-626059273) (1940420/43681,2019789833/9129329) (1940420/43681,-2434466942/9129329) # # a-invariants: (1, -1, 0, -29, -635) # Cremona label: 770e1 # (10,-5) (19,-83) (346/9,-6791/27) (346/9,5753/27) (19,64) (119146/625,39537619/15625) (119146/625,-42516269/15625) (5035/441,-243655/9261) (5035/441,137920/9261) (1390386409/11182336,-53955302730547/37393731584) (1390386409/11182336,49305850578851/37393731584) # # a-invariants: (1, -1, 0, -1309, -17787) # Cremona label: 770e2 # (-22,11) (-77/4,77/8) (42,-21) (-182/9,553/27) (-182/9,-7/27) (77,-616) (154,-1925) (-21,0) (77,539) (-21,21) (154,1771) (762,-21381) (427/9,3647/27) (762,20619) (-12166/625,61523/15625) (-1067/49,1672/343) (427/9,-4928/27) (-1067/49,5797/343) (-12166/625,242627/15625) (717563/1444,592089883/54872) (-1475558/68121,320836159/17779581) (-151599/7744,11426037/681472) (-151599/7744,1914675/681472) (717563/1444,-619357277/54872) (-1475558/68121,64284479/17779581) (52934011/275625,-390864651584/144703125) (52934011/275625,363074295809/144703125) # # a-invariants: (1, -1, 0, -20909, -1158507) # Cremona label: 770e3 # (-333/4,333/8) (-749/9,1120/27) (189,1176) (-749/9,1127/27) (189,-1365) (-2549259/30625,221892936/5359375) (6907/9,-573073/27) (-2549259/30625,224227389/5359375) (6907/9,552352/27) (-43910015639/527529024,507124997285095/12116286623232) (-43910015639/527529024,501400241911457/12116286623232) # # a-invariants: (1, -1, 0, -2189, 9845) # Cremona label: 770e4 # (106,927) (106,-1033) (179/4,-179/8) (-34,-193) (-41,192) (-26/9,3469/27) (-41,-151) (-34,227) (1,87) (1,-88) (-26/9,-3391/27) (709/9,-16376/27) (46,-93) (155,-1915) (3046,-169593) (3046,166547) (709/9,14249/27) (155,1760) (46,47) (-12641/484,-2210499/10648) (-131/16,10811/64) (-3734/81,-60337/729) (-3734/81,93943/729) (2906/841,1130923/24389) (-131/16,-10287/64) (2906/841,-1215197/24389) (-12641/484,2488601/10648) (281131/5625,-75089696/421875) (37349/49,7070216/343) (281131/5625,54004871/421875) (37349/49,-7331659/343) (883486/3481,-841259667/205379) (883486/3481,789133993/205379) (-13742546/751689,-129973822639/651714363) (-13742546/751689,141888610021/651714363) (48914471299/98366724,-11005039565499241/975601168632) (48914471299/98366724,10519905839155759/975601168632) # # a-invariants: (1, 0, 0, -56, 3136) # Cremona label: 770f1 # (28,140) (-16,8) (0,-56) (28,-168) (0,56) (16,-88) (-14,42) (56,-448) (-56/9,-1456/27) (16,72) (56,392) (336,5992) (6,-58) (6,52) (-56/9,1624/27) (336,-6328) (-14,-28) (35/4,427/8) (84,-812) (-224/25,-6216/125) (-12,-40) (112/9,-1960/27) (160,-2104) (-12,52) (84,728) (160,1944) (-224/25,7336/125) (35/4,-497/8) (112/9,1624/27) (3654/169,-265916/2197) (-13104/841,-222712/24389) (-13104/841,602728/24389) (784/289,262696/4913) (3016/81,154288/729) (-136/49,-19144/343) (1666,67172) (784/289,-276024/4913) (3654/169,218414/2197) (-136/49,20096/343) (1666,-68838) (3016/81,-181432/729) (21120/529,2857592/12167) (399728/361,-256544680/6859) (21120/529,-3343352/12167) (-8855/576,-177961/13824) (-6308/1849,4696200/79507) (-8855/576,390481/13824) (61824/3025,15455608/166375) (-6308/1849,-4424956/79507) (61824/3025,-18855928/166375) (399728/361,248949848/6859) (1572240852/3775249,60824264124904/7335308807) (-373592268/66863329,-29795966122664/546741441233) (1572240852/3775249,-63879128100340/7335308807) (-373592268/66863329,32850830098100/546741441233) # # a-invariants: (1, 0, 0, -3576, 81280) # Cremona label: 770f2 # (44,-120) (-12,356) (-12,-344) (127/4,-127/8) (44,76) (592/9,8912/27) (16,-176) (338,-6294) (30,20) (-54,-316) (30,-50) (338,5956) (38,6) (16,160) (-54,370) (38,-44) (592/9,-10688/27) (1339/36,-5879/216) (2748/121,-160364/1331) (2748/121,130136/1331) (-1067/16,-7841/64) (1339/36,-2155/216) (2276/25,83784/125) (-1067/16,12109/64) (2276/25,-95164/125) (164,-2060) (14652/529,568952/12167) (14652/529,-905948/12167) (164,1896) (1969958/48841,380292366/10793861) (200272/3969,-49581568/250047) (-42006/1369,21186682/50653) (141054/4489,-624100/300763) (1969958/48841,-815653084/10793861) (141054/4489,-8826518/300763) (-42006/1369,-19632460/50653) (1401458/841,1637840084/24389) (200272/3969,36964432/250047) (1401458/841,-1678482366/24389) (230373649/207936,-3544553897669/94818816) (51363884/978121,-216420115416/967361669) (51363884/978121,165621234140/967361669) (230373649/207936,3439503513725/94818816) # # a-invariants: (1, 0, 0, 504, -84560) # Cremona label: 770f3 # (40,-20) (3022/9,161842/27) (3022/9,-170908/27) (58,-404) (58,346) (15979/100,-2100353/1000) (15979/100,1940563/1000) (760/9,-21380/27) (760/9,19100/27) (23591338/14161,-116006924986/1685159) (498194542/11512449,4504619219372/39061739457) (498194542/11512449,-6194993300378/39061739457) (23591338/14161,113199555764/1685159) (41467515721/921729600,-5450265488707961/27983710656000) (41467515721/921729600,4191311711418401/27983710656000) # # a-invariants: (1, 0, 0, -26116, -1580604) # Cremona label: 770f4 # (-321/4,321/8) (-96,-162) (-96,258) (3184/9,151474/27) (3184/9,-161026/27) (-106796931/1024144,-57213174789/1036433728) (183811/900,-37069531/27000) (-106796931/1024144,165291668961/1036433728) (183811/900,31555201/27000) (272127896864464/163027790289,-4522524774555745299194/65825241801618663) (272127896864464/163027790289,4412648510022471263306/65825241801618663) # # a-invariants: (1, 0, 0, 10, 100) # Cremona label: 770g1 # (10,30) (0,-10) (0,10) (-4,2) (10,-40) # # a-invariants: (1, 0, 0, -270, 1612) # Cremona label: 770g2 # (14,18) (-6,-52) (31/4,-31/8) (14,-32) (-6,58) # # a-invariants: (1, 0, 0, -90, -2720) # Cremona label: 770g3 # (16,-8) # # a-invariants: (1, 0, 0, -3520, -80238) # Cremona label: 770g4 # (-129/4,129/8) # # a-invariants: (1, -1, 0, 57, -243) # Cremona label: 774a1 # (7,18) (7,-25) # # a-invariants: (1, -1, 0, -1878, -30988) # Cremona label: 774a2 # # # a-invariants: (1, -1, 0, -216, 832) # Cremona label: 774b1 # (-16,8) # # a-invariants: (1, -1, 0, -3096, 67072) # Cremona label: 774b2 # (32,-16) (131/4,-131/8) (-64,32) # # a-invariants: (1, -1, 0, -49536, 4255960) # Cremona label: 774b3 # (515/4,-515/8) # # a-invariants: (1, -1, 0, -2736, 82984) # Cremona label: 774b4 # (-253/4,253/8) # # a-invariants: (1, -1, 0, -397116, -96224252) # Cremona label: 774c1 # # # a-invariants: (1, -1, 0, 1431, -46899) # Cremona label: 774d1 # (66,-609) (66,543) (25,51) (25,-76) (257250/1681,-138533529/68921) (257250/1681,127986279/68921) # # a-invariants: (1, -1, 0, -539109, 152510121) # Cremona label: 774d2 # (-564,16923) (-564,-16359) (1285,-40396) (1285,39111) (210,-7071) (210,6861) (511,2948) (511,-3459) (246576/625,-19540149/15625) (246576/625,13375749/15625) (140839/324,-3600989/5832) (140839/324,1065887/5832) (20640/49,-130677/343) (20640/49,-13803/343) (133770301/330625,95621053324/190109375) (133770301/330625,-172538976399/190109375) # # a-invariants: (1, -1, 0, -18, 0) # Cremona label: 774e1 # (0,0) (6,-12) (6,6) (-3,6) (-3,-3) (9,-27) (-2,-4) (-2,6) (9,18) (-3/16,-111/64) (96,888) (-3/16,123/64) (96,-984) (121/25,66/125) (-450/121,-540/1331) (-450/121,5490/1331) (121/25,-671/125) (-2523/2401,-422211/117649) (14406/841,-1844556/24389) (14406/841,1426782/24389) (-2523/2401,545838/117649) (-21632/29241,-15829424/5000211) (263169/10816,-144492093/1124864) (-21632/29241,19528496/5000211) (263169/10816,117122517/1124864) (24264726/5193841,-42169740918/11836763639) (24264726/5193841,-13129569636/11836763639) (670343881/13579225,15923705845074/50039444125) (670343881/13579225,-18393923046559/50039444125) # # a-invariants: (1, -1, 0, 72, -54) # Cremona label: 774e2 # (3/4,-3/8) (3,12) (3,-15) (33,-210) (33,177) (309/25,-7158/125) (7,24) (7,-31) (309/25,5613/125) (1023/676,-145653/17576) (1533/16,-63087/64) (1023/676,119055/17576) (1533/16,56955/64) (881373/4489,-856160898/300763) (3391/3025,774096/166375) (3391/3025,-960601/166375) (881373/4489,797108907/300763) (32466963/2019241,181171918500/2869341461) (32466963/2019241,-227307472923/2869341461) (7461353017/316270656,-740296902029959/5624557346304) (7461353017/316270656,607604199975631/5624557346304) # # a-invariants: (1, -1, 1, -209, 1217) # Cremona label: 774f1 # (7,4) (7,-12) (-9,52) (15,28) (9,-2) (9,-8) (-9,-44) (15,-44) (-5,48) (19,52) (-5,-44) (79/9,-68/27) (19,-72) (79/9,-196/27) (303/49,2764/343) (567,13204) (303/49,-5228/343) (189/25,-1222/125) (567,-13772) (189/25,152/125) (6679/529,183084/12167) (8935/961,-28404/29791) (8935/961,-278372/29791) (6679/529,-348868/12167) (-461/36,-7537/216) (-461/36,10087/216) (-28929/20449,114157484/2924207) (-28929/20449,-112944844/2924207) (43182847/5433561,-105408396836/12665630691) (43182847/5433561,-7916450212/12665630691) (10914992799/1122049009,-435023763045004/37585275654473) (10914992799/1122049009,31818973602428/37585275654473) # # a-invariants: (1, -1, 1, 511, 6049) # Cremona label: 774f2 # (109,1106) (109,-1216) (23,160) (23,-184) (1,80) (1,-82) (-37/4,205/8) (-37/4,-139/8) (-743/121,71920/1331) (-743/121,-65078/1331) (79/9,-2984/27) (79/9,2720/27) (71773/1681,20758690/68921) (71773/1681,-23770304/68921) (89609/256,-27572291/4096) (89609/256,26134451/4096) (694261/1225,-590732864/42875) (694261/1225,566390854/42875) (21460679/421201,103071669344/273359449) (21460679/421201,-117273009464/273359449) (-89351261/18301284,4729086268175/78292892952) (-89351261/18301284,-4425134466569/78292892952) # # a-invariants: (1, -1, 1, 22, 105) # Cremona label: 774g1 # (-1,9) (-1,-9) (5,-21) (5,15) (17,63) (17,-81) (-3,-1) (-3,3) (35,-225) (35,189) (11/4,-123/8) (11/4,93/8) (11/25,-1431/125) (11/25,1251/125) (189,2499) (189,-2689) (-775/361,49221/6859) (-775/361,-41355/6859) (4373/529,288813/12167) (4373/529,-401559/12167) (18023/1849,2303253/79507) (18023/1849,-3157749/79507) (-5615/2304,-541105/110592) (-5615/2304,700033/110592) (637751/5929,-532824867/456533) (637751/5929,483261507/456533) (8005149803/571305604,-853460105393253/13655346546808) (8005149803/571305604,648465668255139/13655346546808) # # a-invariants: (1, -1, 1, -17249, -866127) # Cremona label: 774h1 # (-73,36) # # a-invariants: (1, -1, 1, -11489, -1458255) # Cremona label: 774h2 # (587/4,-591/8) # # a-invariants: (1, -1, 1, -131, -601) # Cremona label: 774i1 # # # a-invariants: (0, 1, 1, -33, 94) # Cremona label: 775a1 # (-2,12) (-2,-13) (4,-7) (4,6) (253/36,3367/216) (253/36,-3583/216) (-992/169,-25182/2197) (-992/169,22985/2197) # # a-invariants: (1, 0, 1, -26, -177) # Cremona label: 775b1 # (7,-4) # # a-invariants: (1, 0, 1, -651, -6427) # Cremona label: 775b2 # (-57/4,53/8) # # a-invariants: (0, 1, 1, 242, 1269) # Cremona label: 775c1 # # # a-invariants: (0, 1, 1, -21008, -1181231) # Cremona label: 775c2 # # # a-invariants: (0, 0, 0, -31, 66) # Cremona label: 776a1 # (3,0) (1,6) (1,-6) (5,6) (5,-6) (-6,-6) (31/9,-8/27) (31/9,8/27) (-6,6) (389/49,-6138/343) (265/121,-3906/1331) (389/49,6138/343) (265/121,3906/1331) (7657/144,-666485/1728) (21099/7225,-376368/614125) (7657/144,666485/1728) (21099/7225,376368/614125) (1674987631/461519289,11287667743192/9914818885587) (1674987631/461519289,-11287667743192/9914818885587) # # a-invariants: (0, 0, 0, -11, 150) # Cremona label: 776a2 # (-6,0) (43/9,-388/27) (3,-12) (3,12) (43/9,388/27) (-50/9,170/27) (849/4,-24735/8) (849/4,24735/8) (-50/9,-170/27) (108067/77841,-254573396/21717639) (108067/77841,254573396/21717639) (42267/5929,9509436/456533) (42267/5929,-9509436/456533) (55238881/1040400,-409955464529/1061208000) (55238881/1040400,409955464529/1061208000) # # a-invariants: (1, 1, 0, -16, 19) # Cremona label: 777a1 # (2,-1) # # a-invariants: (1, 1, 0, -21, 0) # Cremona label: 777a2 # (0,0) (4,-2) (-21/4,21/8) # # a-invariants: (1, 1, 0, -206, -1221) # Cremona label: 777a3 # (-37/4,37/8) # # a-invariants: (1, 1, 0, 84, 105) # Cremona label: 777a4 # (-5/4,5/8) (8,33) (8,-41) # # a-invariants: (0, -1, 1, -2531950, 1551713040) # Cremona label: 777b1 # # # a-invariants: (0, -1, 1, -169, -792) # Cremona label: 777c1 # # # a-invariants: (1, 1, 1, -14, 26) # Cremona label: 777d1 # (2,2) (-5,2) (2,-5) (23,100) (4/9,-142/27) (4/9,103/27) (23,-124) (-13/4,65/8) (4,5) (-13/4,-47/8) (4,-10) (-1678/841,-160697/24389) (4082/361,221590/6859) (-1678/841,184970/24389) (5905/1024,-552599/32768) (-101/225,-20162/3375) (5905/1024,330871/32768) (4082/361,-306007/6859) (-101/225,18302/3375) (-4646396/1002001,5838336925/1003003001) (47280004/363609,312166538063/219256227) (47280004/363609,-340895636702/219256227) (-4646396/1002001,-2190297530/1003003001) # # a-invariants: (1, 1, 1, -259, 1496) # Cremona label: 777d2 # (35/4,-39/8) (9,-5) (-19,9) (8,-9) (18,46) (88/9,-16/27) (2,-33) (88/9,-275/27) (8,0) (18,-65) (2,30) (99/4,737/8) (2129/256,-7425/4096) (2129/256,-30735/4096) (-31/25,5343/125) (99/4,-943/8) (85/9,-221/27) (85/9,-61/27) (-31/25,-5313/125) (39218/4489,-1369590/300763) (-2968/169,-51453/2197) (53442/5929,-2140762/456533) (53442/5929,-2430805/456533) (39218/4489,-1558779/300763) (42232/81,-8875585/729) (42232/81,8494768/729) (-2968/169,87840/2197) (2377201/230400,234837209/110592000) (4345209/303601,-6529063795/167284151) (2377201/230400,-1486485689/110592000) (4345209/303601,3967569485/167284151) (47506822792885/364336581609,-341079084221119335181/219914653668937227) (47506822792885/364336581609,312183908809196633299/219914653668937227) # # a-invariants: (1, 1, 1, -294, 1020) # Cremona label: 777d3 # (-77/4,73/8) (-10,-51) (64,467) (-10,60) (64,-532) (1,-28) (169/9,1102/27) (169/9,-1636/27) (1,26) (176/49,-2619/343) (1750/121,199/1331) (176/49,1044/343) (1750/121,-20780/1331) (907/36,19211/216) (-12311/6400,-20130173/512000) (907/36,-24869/216) (-12311/6400,20603053/512000) (250400089/480249,-4051893999518/332812557) (-13523279/758641,-15180266314/660776311) (250400089/480249,3878033925284/332812557) (-13523279/758641,26298266012/660776311) (1093309720801/69949670400,-590276235948905441/18500288827392000) (1093309720801/69949670400,282617392164064961/18500288827392000) # # a-invariants: (1, 1, 1, -4144, 100952) # Cremona label: 777d4 # (147/4,-151/8) (331/9,-502/27) (39,4) (331/9,-518/27) (39,-44) (84697/2304,-2101019/110592) (4251/100,-84131/1000) (4251/100,40621/1000) (84697/2304,-2075029/110592) (978114999/26615281,-2592133347796/137308234679) (978114999/26615281,-2591270166724/137308234679) (7156891/13689,18611081542/1601613) (7156891/13689,-19450039402/1601613) # # a-invariants: (1, 0, 1, -1312, -18391) # Cremona label: 777e1 # (-21,10) (-1343/64,5125/512) (43,-94) (-1343/64,5107/512) (43,50) (-4347269/207025,945086806/94196375) (201649/256,88852865/4096) (-4347269/207025,938724214/94196375) (201649/256,-92083345/4096) # # a-invariants: (1, 0, 1, -1317, -18245) # Cremona label: 777e2 # (167/4,-171/8) (-23,11) (-19,9) (-85/4,-45/8) (-331/16,1629/64) (-331/16,-369/64) (125,1269) (89,711) (89,-801) (125,-1395) (-85/4,207/8) (-80599/4225,1307331/274625) (12599/4,1401537/8) (2753/64,25587/512) (2753/64,-48123/512) (-1123/49,5319/343) (-1123/49,2199/343) (-80599/4225,3656979/274625) (12599/4,-1426743/8) (23092205/339889,-97001350245/198155287) (23092205/339889,83340439443/198155287) (41746449761/52998400,8369604522224919/385828352000) (41746449761/52998400,-8673904504836999/385828352000) # # a-invariants: (1, 0, 1, -2612, 23195) # Cremona label: 777e3 # (183/4,-187/8) (-15,250) (-15,-236) (9,-26) (-2679/49,28888/343) (9,16) (-2679/49,-10478/343) (507/4,-11041/8) (507/4,10019/8) (1461/16,-50339/64) (1461/16,44431/64) (617367/196,-489360481/2744) (617367/196,480714599/2744) (12692289/270400,-12890093627/140608000) (12692289/270400,6149495347/140608000) # # a-invariants: (1, 0, 1, -102, -50321) # Cremona label: 777e4 # (151/4,-155/8) (47,-246) (47,198) (491,10632) (491,-11124) (347/4,5823/8) (1973/16,82269/64) (1973/16,-90225/64) (347/4,-6525/8) (30551/121,5161302/1331) (160883/2809,-58542912/148877) (160883/2809,49867236/148877) (30551/121,-5498694/1331) (53229479/16900,-391828610727/2197000) (122609/3136,-16960845/175616) (53229479/16900,384906581457/2197000) (122609/3136,9919125/175616) # # a-invariants: (0, 1, 1, 0, 2) # Cremona label: 777f1 # (0,-2) (0,1) (-1,1) (-1,-2) (9,-29) (9,28) (10/9,46/27) (10/9,-73/27) (-171/100,-917/1000) (-171/100,-83/1000) (710/361,21982/6859) (710/361,-28841/6859) (20349/5041,-3465559/357911) (20349/5041,3107648/357911) (-180269/127449,31485313/45499293) (-180269/127449,-76984606/45499293) # # a-invariants: (0, 1, 1, 9, 344) # Cremona label: 777g1 # (-6,-11) (-6,10) (36,-221) (36,220) (-3/4,143/8) (-3/4,-151/8) (8,31) (8,-32) (6,25) (6,-26) (9/16,1165/64) (9/16,-1229/64) (606/25,-15571/125) (606/25,15446/125) (-416/81,9656/729) (-416/81,-10385/729) (3189/4,-180205/8) (3189/4,180197/8) (-1908/289,-33781/4913) (-1908/289,28868/4913) (49218/841,-11047663/24389) (49218/841,11023274/24389) (-47071/23104,-64734673/3511808) (-47071/23104,61222865/3511808) (2147154/203401,3766360735/91733851) (2147154/203401,-3858094586/91733851) # # a-invariants: (0, -1, 0, -105, 450) # Cremona label: 780a1 # (6,0) (5,-5) (15,-45) (5,5) (15,45) (7,3) (-3,27) (7,-3) (-3,-27) (-10,20) (105/16,45/64) (105/16,-45/64) (-10,-20) (69/25,1647/125) (79/9,305/27) (79/9,-305/27) (69/25,-1647/125) (2895/49,152235/343) (1685/289,6965/4913) (1685/289,-6965/4913) (2895/49,-152235/343) (3193/64,175059/512) (3193/64,-175059/512) (16278/2809,-237816/148877) (16278/2809,237816/148877) (69605/28561,-68711005/4826809) (867615/101761,-327615795/32461759) (867615/101761,327615795/32461759) (69605/28561,68711005/4826809) (5481679/837225,441282817/766060875) (5481679/837225,-441282817/766060875) (870421785/123032464,-4568023573515/1364676090688) (870421785/123032464,4568023573515/1364676090688) (5982085417695/830765329,14630134437733653765/23945149077767) (5982085417695/830765329,-14630134437733653765/23945149077767) # # a-invariants: (0, -1, 0, -60, 792) # Cremona label: 780a2 # (-11,0) (-6,-30) (54,-390) (-6,30) (54,390) (2,-26) (14,50) (14,-50) (2,26) (21/4,195/8) (21/4,-195/8) (9,-30) (9,30) (226/9,3250/27) (226/9,-3250/27) (-2,30) (-2,-30) (234,3570) (-474/49,6630/343) (234,-3570) (-474/49,-6630/343) (197,-2756) (-151/16,-1325/64) (-151/16,1325/64) (197,2756) (2874/121,-147030/1331) (-1386/841,725010/24389) (-1386/841,-725010/24389) (2874/121,147030/1331) (32194/3721,6600750/226981) (1246/225,-82594/3375) (32194/3721,-6600750/226981) (1246/225,82594/3375) (129069/8836,-44098665/830584) (5889/3481,-5404530/205379) (129069/8836,44098665/830584) (5889/3481,5404530/205379) (834254/14161,-750319550/1685159) (834254/14161,750319550/1685159) (39429606/1369,247586009970/50653) (39429606/1369,-247586009970/50653) (-6668406/606841,904580070/472729139) (-6668406/606841,-904580070/472729139) (8932273/179776,-26184020535/76225024) (8932273/179776,26184020535/76225024) (14424650894/2906395921,-3811818952805950/156686710497031) (14424650894/2906395921,3811818952805950/156686710497031) # # a-invariants: (0, -1, 0, 195, -195975) # Cremona label: 780b1 # # # a-invariants: (0, 1, 0, -81, 0) # Cremona label: 780c1 # (0,0) (-3,15) (27,135) (27,-135) (-3,-15) (9,-9) (9,9) (-9,9) (-9,-9) (-27/4,135/8) (-27/4,-135/8) (12,-30) (12,30) (81,729) (81,-729) (-1,-9) (-1,9) (-27/49,-2295/343) (-27/49,2295/343) (147,-1785) (147,1785) (-144/25,2196/125) (225/16,-2745/64) (-144/25,-2196/125) (225/16,2745/64) (4563/529,-50895/12167) (-1587/169,-10005/2197) (-1587/169,10005/2197) (4563/529,50895/12167) (1681/81,-63919/729) (-6561/1681,1136511/68921) (1681/81,63919/729) (-6561/1681,-1136511/68921) (-363/5476,-939345/405224) (147852/121,-56873070/1331) (-363/5476,939345/405224) (147852/121,56873070/1331) (522729/14161,-371768769/1685159) (522729/14161,371768769/1685159) (-13572387/1620529,26180253945/2062933417) (-13572387/1620529,-26180253945/2062933417) (62869041/5953600,-302524326711/14526784000) (62869041/5953600,302524326711/14526784000) (25942578489/75186241,4183124305266999/651939895711) (25942578489/75186241,-4183124305266999/651939895711) # # a-invariants: (0, 1, 0, 324, 324) # Cremona label: 780c2 # (-1,0) (24,150) (24,-150) (12,78) (12,-78) (0,-18) (324,-5850) (324,5850) (0,18) (21/4,-375/8) (51,390) (51,-390) (21/4,375/8) (80,-738) (244/81,-26650/729) (80,738) (244/81,26650/729) (7176/49,614550/343) (7176/49,-614550/343) (348/289,131586/4913) (348/289,-131586/4913) (126279/3721,51538500/226981) (126279/3721,-51538500/226981) (3321/400,483669/8000) (3321/400,-483669/8000) (1161372/841,-1252134858/24389) (1161372/841,1252134858/24389) (-68376/89401,-233547150/26730899) (-68376/89401,233547150/26730899) (2294320/136161,-5233877918/50243409) (2294320/136161,5233877918/50243409) (809593629/662596,23047583185875/539353144) (809593629/662596,-23047583185875/539353144) # # a-invariants: (0, 1, 0, 19, 15) # Cremona label: 780d1 # (1,-6) (1,6) # # a-invariants: (0, 1, 0, -221, -1521) # Cremona label: 780d2 # # # a-invariants: (0, 0, 1, -1378, 347) # Cremona label: 781a1 # # # a-invariants: (0, 0, 1, -808, 8840) # Cremona label: 781b1 # (14,-17) (14,16) (148/9,-8/27) (148/9,-19/27) (65/4,-13/8) (65/4,5/8) (280/9,3160/27) (280/9,-3187/27) (-502/49,43273/343) (-502/49,-43616/343) (21889/1296,-180577/46656) (21889/1296,133921/46656) # # a-invariants: (1, 0, 1, 5, 6) # Cremona label: 782a1 # (-1,0) (0,2) (0,-3) (7,16) (7,-24) (151/49,-3240/343) (151/49,1840/343) (24/25,-567/125) (24/25,322/125) (22225/576,3056693/13824) (22225/576,-3603917/13824) # # a-invariants: (1, 0, 1, -35, 54) # Cremona label: 782a2 # (7/4,-11/8) (6,-12) (-4,-10) (-4,13) (6,5) (-54/25,1441/125) (8,13) (8,-22) (-54/25,-1296/125) (229/144,-5711/1728) (619/4,14779/8) (229/144,1235/1728) (619/4,-16025/8) (6176/1225,35519/42875) (6176/1225,-294554/42875) (-490396/851929,6597484295/786330467) (-490396/851929,-6931179254/786330467) # # a-invariants: (1, 0, 0, -60, -184) # Cremona label: 782b1 # # # a-invariants: (1, 0, 0, -99153, -12025559) # Cremona label: 782c1 # (-182,91) # # a-invariants: (1, 0, 0, -99793, -11862615) # Cremona label: 782c2 # (1455/4,-1455/8) # # a-invariants: (1, -1, 1, 0, 1) # Cremona label: 782d1 # # # a-invariants: (1, -1, 1, -529, 385) # Cremona label: 782e1 # (55,-396) (55,340) (23,-12) # # a-invariants: (1, -1, 1, -5649, -161407) # Cremona label: 782e2 # (-181/4,177/8) (-41,20) (87,-44) # # a-invariants: (1, -1, 1, -90289, -10419775) # Cremona label: 782e3 # (-693/4,689/8) # # a-invariants: (1, -1, 1, -2929, -319167) # Cremona label: 782e4 # (331/4,-335/8) # # a-invariants: (0, 1, 0, -16, -29) # Cremona label: 784a1 # (-3,-1) (-3,1) (45/4,293/8) (45/4,-293/8) (-7403/3249,167579/185193) (-7403/3249,-167579/185193) # # a-invariants: (0, 0, 0, -343, 2401) # Cremona label: 784b1 # (0,49) (0,-49) (49/4,49/8) (49/4,-49/8) (8,-13) (8,13) (833/16,-22687/64) (833/16,22687/64) (-5096/289,-267589/4913) (-5096/289,267589/4913) (11985/676,-764639/17576) (11985/676,764639/17576) (4718896/497025,-188367319/350402625) (4718896/497025,188367319/350402625) # # a-invariants: (0, 0, 0, 49, 686) # Cremona label: 784c1 # (-7,0) # # a-invariants: (0, 0, 0, -931, 10290) # Cremona label: 784c2 # (21,0) (-35,0) (14,0) # # a-invariants: (0, 0, 0, -2891, -47334) # Cremona label: 784c3 # (-42,0) # # a-invariants: (0, 0, 0, -14651, 682570) # Cremona label: 784c4 # (70,0) (63,98) (63,-98) # # a-invariants: (0, -1, 0, -800, 8359) # Cremona label: 784d1 # # # a-invariants: (0, -1, 0, -16, -1392) # Cremona label: 784e1 # (12,0) # # a-invariants: (0, -1, 0, -1976, -32752) # Cremona label: 784e2 # (-23,0) # # a-invariants: (0, 0, 0, -7, -7) # Cremona label: 784f1 # # # a-invariants: (0, -1, 0, -114, 127) # Cremona label: 784g1 # # # a-invariants: (0, -1, 0, -6974, 226507) # Cremona label: 784g2 # # # a-invariants: (0, 0, 0, -35, 98) # Cremona label: 784h1 # (-7,0) (1,8) (7,-14) (7,14) (1,-8) (2,6) (49/9,224/27) (49/9,-224/27) (2,-6) (193,-2680) (193,2680) (-161/25,938/125) (-161/25,-938/125) (9401/961,-783552/29791) (9401/961,783552/29791) (-47/144,18073/1728) (-47/144,-18073/1728) (5429474/112225,-12561912882/37595375) (5429474/112225,12561912882/37595375) (639966403393/188140797504,349133845850413343/81606447198955008) (639966403393/188140797504,-349133845850413343/81606447198955008) # # a-invariants: (0, 0, 0, -595, 5586) # Cremona label: 784h2 # (14,0) (7,-42) (15,-6) (7,42) (15,6) (-7/4,-651/8) (130/9,-62/27) (130/9,62/27) (-7/4,651/8) (62671/4489,174510/300763) (4839/25,-334062/125) (62671/4489,-174510/300763) (4839/25,334062/125) (2277265/138384,-815565113/51478848) (3789758/339889,-3642764244/198155287) (3789758/339889,3642764244/198155287) (2277265/138384,815565113/51478848) # # a-invariants: (0, 0, 0, -1715, -33614) # Cremona label: 784h3 # (49,0) (735,-19894) (735,19894) (57,-232) (57,232) (156130/841,59971134/24389) (156130/841,-59971134/24389) # # a-invariants: (0, 0, 0, -29155, -1915998) # Cremona label: 784h4 # (-98,0) (-82761/841,232554/24389) (743,-19662) (-82761/841,-232554/24389) (743,19662) # # a-invariants: (0, 1, 0, -2, -1) # Cremona label: 784i1 # (-1,-1) (-1,1) (5/4,1/8) (5/4,-1/8) (-89/81,-757/729) (-89/81,757/729) (6833/16,-565487/64) (6833/16,565487/64) # # a-invariants: (0, 1, 0, -142, -701) # Cremona label: 784i2 # (-65/9,1/27) (-65/9,-1/27) (493/36,2267/216) (493/36,-2267/216) # # a-invariants: (0, 1, 0, -408, 6292) # Cremona label: 784j1 # (-26,0) (-12,98) (-12,-98) (86,784) (86,-784) (23,-98) (6,64) (23,98) (6,-64) (694/81,43120/729) (694/81,-43120/729) (484/25,-9702/125) (484/25,9702/125) (-127/16,6103/64) (17574/289,2251648/4913) (17574/289,-2251648/4913) (-127/16,-6103/64) (386052/169,-239909194/2197) (386052/169,239909194/2197) (-3933929/245025,-11481851206/121287375) (-3933929/245025,11481851206/121287375) # # a-invariants: (0, 1, 0, -8248, 285396) # Cremona label: 784j2 # (51,0) (44,-98) (100,686) (44,98) (100,-686) (-139/4,-5831/8) (55,-34) (55,34) (-139/4,5831/8) (109204/2025,1682758/91125) (-8004/121,-983430/1331) (109204/2025,-1682758/91125) (-8004/121,983430/1331) (364705/4624,114121433/314432) (364705/4624,-114121433/314432) # # a-invariants: (0, 1, 0, 3512, -133260) # Cremona label: 784j3 # (30,0) (156,-2058) (718/9,21952/27) (156,2058) (718/9,-21952/27) (1182,40704) (1182,-40704) (319/9,5194/27) (319/9,-5194/27) (1130124/24025,-1384562718/3723875) (1130124/24025,1384562718/3723875) (11640430/29241,-40160415680/5000211) (11640430/29241,40160415680/5000211) (118616641/404496,-1316797921097/257259456) (118616641/404496,1316797921097/257259456) (9268726882058152639/97867936467405225,31488821566187660876141021438/30616859910577396492240875) (9268726882058152639/97867936467405225,-31488821566187660876141021438/30616859910577396492240875) # # a-invariants: (0, 1, 0, -27848, -1475468) # Cremona label: 784j4 # (-61,0) (-124,294) (1852/9,-33614/27) (1852/9,33614/27) (-124,-294) (10687/9,-1093814/27) (-836659/11236,-520294299/1191016) (10687/9,1093814/27) (-836659/11236,520294299/1191016) (-13415564524/139310809,-933791501546190/1644285478627) (-13415564524/139310809,933791501546190/1644285478627) (291631835884/702515025,142629262207626502/18620160737625) (291631835884/702515025,-142629262207626502/18620160737625) # # a-invariants: (0, 1, 0, -133688, -18913196) # Cremona label: 784j5 # (422,0) (548,-8526) (32470/9,-5820416/27) (548,8526) (32470/9,5820416/27) (7063207/7569,-17042744978/658503) (7063207/7569,17042744978/658503) # # a-invariants: (0, 1, 0, -2140728, -1206278060) # Cremona label: 784j6 # (-845,0) (-710708/841,-82614/24389) (33604/9,5590214/27) (-710708/841,82614/24389) (33604/9,-5590214/27) # # a-invariants: (1, 1, 0, -8, 6) # Cremona label: 786a1 # (1,-1) (1,0) (3,3) (3,-6) (-5/4,37/8) (-5/4,-27/8) (115/81,-406/729) (115/81,-629/729) (-863/289,-11313/4913) (-863/289,25984/4913) (31089/16384,-5066697/2097152) (31089/16384,1087305/2097152) # # a-invariants: (1, 1, 0, -281, 1701) # Cremona label: 786b1 # (10,-1) (10,-9) (9,-3) (9,-6) (-14,63) (-14,-49) (67/9,-358/27) (67/9,157/27) (4954/529,-64703/12167) (4954/529,-49239/12167) (6399/196,419733/2744) (6399/196,-509319/2744) # # a-invariants: (1, 1, 0, 1217, 6622405) # Cremona label: 786c1 # (12085,-1334645) (12085,1322560) (75519/25,20572537/125) (75519/25,-20950132/125) # # a-invariants: (1, 1, 0, -3418, -78356) # Cremona label: 786d1 # # # a-invariants: (1, 1, 0, -29, -3) # Cremona label: 786e1 # (-6,3) # # a-invariants: (1, 1, 0, -349, 2365) # Cremona label: 786e2 # (10,-5) (43/4,-43/8) (-22,11) # # a-invariants: (1, 1, 0, -5589, 158517) # Cremona label: 786e3 # (171/4,-171/8) # # a-invariants: (1, 1, 0, -229, 4165) # Cremona label: 786e4 # (-85/4,85/8) # # a-invariants: (1, 0, 1, -40, 92) # Cremona label: 786f1 # (4,-1) (4,-4) # # a-invariants: (1, 0, 1, -145, -580) # Cremona label: 786f2 # # # a-invariants: (1, 0, 1, -103, -406) # Cremona label: 786g1 # (-6,4) (-6,1) (112/9,-637/27) (112/9,274/27) # # a-invariants: (1, 0, 1, -17, 56) # Cremona label: 786h1 # (-3,-8) (-3,10) (6,10) (6,-17) (3,4) (3,-8) (0,7) (0,-8) (33,-206) (33,172) (-21/4,35/8) (-21/4,-1/8) (17,60) (17,-78) (24/25,683/125) (24/25,-928/125) (267/121,5372/1331) (267/121,-9640/1331) (414/49,-9575/343) (414/49,6334/343) (-1203/289,-29368/4913) (-1203/289,44906/4913) (13425/64,-1610101/512) (13425/64,1502189/512) (21406/4761,1998682/328509) (21406/4761,-3804205/328509) # # a-invariants: (1, 1, 1, -71, -259) # Cremona label: 786i1 # (-5,2) # # a-invariants: (1, 1, 1, -31, -499) # Cremona label: 786i2 # (35/4,-39/8) # # a-invariants: (1, 1, 1, -861, 9267) # Cremona label: 786j1 # (-9,-124) (-9,132) (23,36) (23,-60) (15,-12) (15,-4) (175/9,-788/27) (175/9,236/27) (3,80) (3,-84) (311,5316) (311,-5628) (-609/25,17524/125) (-609/25,-14604/125) (289/9,2972/27) (289/9,-3866/27) (19167/1369,-1112332/50653) (19167/1369,352500/50653) (30455/1681,-254844/68921) (30455/1681,-1062732/68921) (58815/5929,17039028/456533) (58815/5929,-22024316/456533) (2319103/29241,3145060556/5000211) (2319103/29241,-3546627380/5000211) (165929687895/12447641761,-37286104794339516/1388770943633009) (165929687895/12447641761,17384724501949252/1388770943633009) # # a-invariants: (1, 1, 1, 10, 11) # Cremona label: 786k1 # (3,7) (3,-11) (-1,-1) (-1,1) (3/4,29/8) (3/4,-43/8) (31,-193) (31,161) (435/49,-11999/343) (435/49,8611/343) (-79/256,10241/4096) (-79/256,-13073/4096) (-7053/14641,-4930337/1771561) (-7053/14641,4012189/1771561) (225151/31329,104049583/5545233) (225151/31329,-149446543/5545233) # # a-invariants: (1, 0, 0, -42, 36) # Cremona label: 786l1 # (0,-6) (0,6) (12,30) (12,-42) (-6,-6) (-6,12) (6,0) (6,-6) (-4,-10) (-4,14) (24,102) (24,-126) (3/4,15/8) (3/4,-21/8) (120,-1374) (120,1254) (-36/25,-1122/125) (-36/25,1302/125) (70/9,-482/27) (70/9,272/27) (-342/49,804/343) (-342/49,1590/343) (2604/361,-100302/6859) (2604/361,50826/6859) (-1824/961,-283866/29791) (-1824/961,340410/29791) (4929/64,-365115/512) (4929/64,325683/512) (2336/2809,138958/148877) (2336/2809,-262766/148877) (-221190/64009,-165577758/16194277) (-221190/64009,221538828/16194277) (-6853860/1075369,-4712107602/1115157653) (-6853860/1075369,11819560422/1115157653) (13497592/1279161,33172489618/1446731091) (13497592/1279161,-48438266170/1446731091) # # a-invariants: (1, 0, 0, -2135, 35913) # Cremona label: 786m1 # (34,-71) (88,685) (34,37) (88,-773) # # a-invariants: (1, 0, 0, -227045, -41659377) # Cremona label: 786m2 # # # a-invariants: (1, 0, 0, -25, 57) # Cremona label: 790a1 # (-6,3) (4,-7) (2,3) (2,-5) (4,3) (14,-57) (-2,11) (-2,-9) (14,43) (-14/9,-239/27) (-14/9,281/27) (12,33) (12,-45) (29/16,217/64) (29/16,-333/64) (106/25,439/125) (106/25,-969/125) (1954,85403) (-292/49,1639/343) (1954,-87357) (-292/49,405/343) (8094/3721,-1099017/226981) (5758/1521,154289/59319) (8094/3721,605283/226981) (5758/1521,-378851/59319) (-218759/193600,829433391/85184000) (-218759/193600,-733179431/85184000) (-79047484991414/27020399553225,1659950503845527503921/140455144223612170875) (-79047484991414/27020399553225,-1249052586399383519311/140455144223612170875) # # a-invariants: (1, 0, 0, -425, 3337) # Cremona label: 790a2 # (47/4,-47/8) (-8,83) (-8,-75) (12,-5) (12,-7) (18,-49) (274/25,-53/125) (274/25,-1317/125) (18,31) (148/9,-1015/27) (148/9,571/27) (1808/169,2705/2197) (1808/169,-26209/2197) (-2213/484,791433/10648) (-2213/484,-742747/10648) (4821/400,-37529/8000) (4821/400,-58891/8000) (95748/49,-29962841/343) (95748/49,29292605/343) (67694338/5659641,-70564775731/13464285939) (67694338/5659641,-90480054371/13464285939) (-55680766/4774225,-795667020097/10431681625) (-55680766/4774225,917329493807/10431681625) # # a-invariants: (1, 0, 1, -31, 117) # Cremona label: 791a1 # (-7,3) # # a-invariants: (1, 0, 1, -596, 5541) # Cremona label: 791a2 # (55/4,-59/8) # # a-invariants: (1, 0, 1, -38, -93) # Cremona label: 791b1 # (7,-4) # # a-invariants: (1, 0, 1, -603, -5743) # Cremona label: 791b2 # (-57/4,53/8) # # a-invariants: (1, -1, 1, -19, -14) # Cremona label: 791c1 # (-2,-3) (5,-3) (-2,4) (52/9,94/27) (-71/25,-277/125) (52/9,-277/27) (-71/25,507/125) (-5/4,-19/8) (68,-591) (-5/4,21/8) (68,522) (440005/25281,-312836717/4019679) (57281/6400,-13735911/512000) (57281/6400,8641431/512000) (440005/25281,238856243/4019679) (-217058/64009,38284369/16194277) (-217058/64009,437028/16194277) # # a-invariants: (1, -1, 1, -264, -1582) # Cremona label: 791c2 # (-9,4) (-37/4,33/8) (19,-10) (-25729/2809,512460/148877) (-25729/2809,702300/148877) (619/9,13898/27) (619/9,-15782/27) (-909/100,3409/1000) (-909/100,4681/1000) (2233/64,80647/512) (2233/64,-99023/512) (3455160961/161798400,-119262393439351/2058075648000) (3455160961/161798400,73254670367431/2058075648000) # # a-invariants: (1, -1, 1, -4219, -104412) # Cremona label: 791c3 # (-149/4,145/8) (-10463381/280900,2698591693/148877000) (48769/576,4580395/13824) (48769/576,-5764675/13824) (-10463381/280900,2698123237/148877000) # # a-invariants: (1, -1, 1, -229, -2044) # Cremona label: 791c4 # (75/4,-79/8) (413/16,5131/64) (413/16,-6847/64) (527/4,11447/8) (527/4,-12509/8) (6243825/179776,-14784767747/76225024) (61819/900,13916387/27000) (6243825/179776,12061160923/76225024) (61819/900,-15797957/27000) # # a-invariants: (0, 0, 0, -135, -486) # Cremona label: 792a1 # (-9,0) (18,-54) (-5,-8) (-5,8) (18,54) (385/16,-6463/64) (-3033/529,-121392/12167) (385/16,6463/64) (-3033/529,121392/12167) (-1908389/216225,-426405016/100544625) (-1908389/216225,426405016/100544625) # # a-invariants: (0, 0, 0, -675, 6318) # Cremona label: 792a2 # (18,0) (7,-44) (7,44) (-9,108) (-9,-108) (369/4,-6831/8) (22,-46) (369/4,6831/8) (22,46) (-6521/225,132308/3375) (11223/961,-157140/29791) (-6521/225,-132308/3375) (11223/961,157140/29791) (231313/8464,-70866233/778688) (231313/8464,70866233/778688) # # a-invariants: (0, 0, 0, -75, -74) # Cremona label: 792b1 # (-1,0) # # a-invariants: (0, 0, 0, 285, -578) # Cremona label: 792b2 # (2,0) # # a-invariants: (0, 0, 0, -15, 18) # Cremona label: 792c1 # (3,0) (-3,-6) (1,-2) (-3,6) (1,2) (6,-12) (7,-16) (6,12) (7,16) (21/25,-306/125) (-23/9,170/27) (21/25,306/125) (-23/9,-170/27) (771,21408) (193/64,-223/512) (193/64,223/512) (771,-21408) (-6311/1849,431354/79507) (-6311/1849,-431354/79507) (6693/5929,-722658/456533) (6693/5929,722658/456533) (340999/65025,-151568432/16581375) (340999/65025,151568432/16581375) (-25434003/12117361,-267562845174/42180533641) (-25434003/12117361,267562845174/42180533641) # # a-invariants: (0, 0, 0, -75, -234) # Cremona label: 792c2 # (-6,0) (-5,4) (27,-132) (27,132) (-5,-4) (-63/16,-33/64) (10,4) (-63/16,33/64) (10,-4) (5691/289,378180/4913) (5691/289,-378180/4913) (-1061/225,12988/3375) (-1061/225,-12988/3375) (49345/64,-10960673/512) (49345/64,10960673/512) (-57930725/10962721,139470966076/36297569231) (-57930725/10962721,-139470966076/36297569231) # # a-invariants: (0, 0, 0, -111, 434) # Cremona label: 792d1 # (7,0) (1,-18) (1,18) (5,-2) (-11,-18) (10,-18) (19,72) (10,18) (19,-72) (5,2) (-11,18) (71,-592) (121/16,-333/64) (71,592) (193/49,2610/343) (-119/25,-3654/125) (121/16,333/64) (-119/25,3654/125) (193/49,-2610/343) (28075/3721,-1157832/226981) (-7835/1681,2009502/68921) (12346/169,1358226/2197) (12346/169,-1358226/2197) (-7835/1681,-2009502/68921) (4261/1089,-277406/35937) (28075/3721,1157832/226981) (4261/1089,277406/35937) (1643537/87616,-1825100935/25934336) (13515289/2699449,-8600201334/4435194707) (10365751/1030225,19160862624/1045678375) (1643537/87616,1825100935/25934336) (13515289/2699449,8600201334/4435194707) (10365751/1030225,-19160862624/1045678375) # # a-invariants: (0, 0, 0, -291, -1330) # Cremona label: 792d2 # (-5,0) (19,0) (-14,0) (-13,-16) (22,54) (283,-4752) (-23/4,-99/8) (283,4752) (-13,16) (-23/4,99/8) (22,-54) (1145/16,-37555/64) (28651/841,4102560/24389) (-14414/1369,-1205820/50653) (-9581/1225,-927072/42875) (-14414/1369,1205820/50653) (28651/841,-4102560/24389) (-9581/1225,927072/42875) (1145/16,37555/64) (46282198/628849,-305747738802/498677257) (46282198/628849,305747738802/498677257) (-14183837/1830609,53096374448/2476813977) (-14183837/1830609,-53096374448/2476813977) (1969569190241/90264193600,1411544330581122961/27118974325184000) (1969569190241/90264193600,-1411544330581122961/27118974325184000) # # a-invariants: (0, 0, 0, -4251, -106666) # Cremona label: 792d3 # (-38,0) (-151/4,-29/8) (-151/4,29/8) (286,4698) (286,-4698) (1165697/13456,-653365055/1560896) (-62637014/1677025,-4740554484/2171747375) (1165697/13456,653365055/1560896) (-62637014/1677025,4740554484/2171747375) # # a-invariants: (0, 0, 0, 789, -8890) # Cremona label: 792d4 # (10,0) (1129/4,38115/8) (14,70) (14,-70) (1129/4,-38115/8) (32857690/1151329,-237215715660/1235376017) (1347329/19600,-1669503233/2744000) (1347329/19600,1669503233/2744000) (32857690/1151329,237215715660/1235376017) (81560999680174/1151176639041,783758227267312364690/1235130800149621089) (81560999680174/1151176639041,-783758227267312364690/1235130800149621089) # # a-invariants: (0, 0, 0, 6, -155) # Cremona label: 792e1 # (5,0) # # a-invariants: (0, 0, 0, -399, -2990) # Cremona label: 792e2 # (23,0) (-13,0) (-10,0) # # a-invariants: (0, 0, 0, -6339, -194258) # Cremona label: 792e3 # (-46,0) # # a-invariants: (0, 0, 0, -939, 6838) # Cremona label: 792e4 # (59,-396) (59,396) (26,0) # # a-invariants: (0, 0, 0, -36, -108) # Cremona label: 792f1 # # # a-invariants: (0, 0, 0, -72147, 7458910) # Cremona label: 792g1 # (155,0) # # a-invariants: (0, 0, 0, -71787, 7537030) # Cremona label: 792g2 # (-310,0) # # a-invariants: (1, -1, 0, -16, -21) # Cremona label: 793a1 # (-2,1) (-209/100,1231/1000) (82/9,-743/27) (82/9,497/27) (-209/100,859/1000) (73949761/13838400,118201246949/51478848000) (73949761/13838400,-393294357869/51478848000) # # a-invariants: (1, -1, 0, -11, -38) # Cremona label: 793a2 # (19/4,-19/8) (58/9,-392/27) (34,178) (34,-212) (58/9,218/27) (8119/900,-746807/27000) (251461/15376,-135504077/1906624) (8119/900,503237/27000) (251461/15376,104322913/1906624) # # a-invariants: (1, 0, 1, -3, 2) # Cremona label: 794a1 # (1,0) (1,-2) (-1,-2) (-1,2) (0,1) (0,-2) (2,1) (2,-4) (-2,1) (-2,0) (5,8) (5,-14) (9,-32) (9,22) (7/4,-27/8) (7/4,5/8) (13,-54) (13,40) (7/9,-50/27) (7/9,2/27) (11/4,-49/8) (11/4,19/8) (-11/9,56/27) (-11/9,-50/27) (4/9,11/27) (4/9,-50/27) (5/16,37/64) (5/16,-121/64) (4/25,-243/125) (4/25,98/125) (-41/25,-162/125) (-41/25,242/125) (76,-702) (76,625) (-27/49,-722/343) (-27/49,568/343) (-94/49,-169/343) (-94/49,484/343) (135/121,-2842/1331) (135/121,26/1331) (113/169,-4018/2197) (113/169,352/2197) (-175/121,2738/1331) (-175/121,-2144/1331) (319/49,4374/343) (319/49,-6950/343) (166/121,-3400/1331) (166/121,243/1331) (320,5566) (320,-5887) (549/16,-14027/64) (549/16,11767/64) (-136/361,-14357/6859) (-136/361,10082/6859) (781/625,1354/15625) (781/625,-36504/15625) (749/841,442/24389) (749/841,-46552/24389) (1702/729,-96605/19683) (1702/729,30968/19683) (3073/81,-184960/729) (3073/81,156574/729) (2345/1681,-179114/68921) (2345/1681,14048/68921) (2106/1369,-146531/50653) (2106/1369,17956/50653) (-4293/2116,48841/97336) (-4293/2116,51301/97336) (8041/2025,-925696/91125) (8041/2025,472726/91125) (-719/4096,321975/262144) (-719/4096,-538103/262144) (7294/2209,370575/103823) (7294/2209,-817216/103823) (16175/5041,-2708222/357911) (16175/5041,1201886/357911) (-10841/6084,829375/474552) (-10841/6084,-458329/474552) (12673/18496,365715/2515456) (12673/18496,-4604699/2515456) (43229/48841,-20563288/10793861) (43229/48841,215818/10793861) (94103/4489,25657798/300763) (94103/4489,-32263462/300763) (58558/25281,-19520545/4019679) (58558/25281,6190144/4019679) (-19508/33489,-12896690/6128487) (-19508/33489,10338167/6128487) (589621/219961,-610236558/103161709) (589621/219961,230542600/103161709) (1077560/3721,-1152012667/226981) (1077560/3721,1086054526/226981) (-964035/534361,-352567402/390617891) (-964035/534361,666659096/390617891) (2508066/1620529,-6009316439/2062933417) (2508066/1620529,753615004/2062933417) (487756/2907025,3833440114/4956477625) (487756/2907025,-9621541719/4956477625) (5449928/444889,10788572483/296740963) (5449928/444889,-14720415422/296740963) (10279949/116281,-34773858598/39651821) (10279949/116281,31228744168/39651821) (-11999935/8357881,-39256713824/24162633971) (-11999935/8357881,49785891938/24162633971) (-2087191/14070001,-107950556128/52776573751) (-2087191/14070001,63003035818/52776573751) (22379926/20385225,-194377321669/92039290875) (22379926/20385225,1292664904/92039290875) (-1142070554/806844025,-37829992438259/22918404530125) (-1142070554/806844025,47352101994504/22918404530125) (1564560791352769/12805185600,-61974052608408046597517/1449034802496000) (1564560791352769/12805185600,61797005460223764761477/1449034802496000) # # a-invariants: (1, 0, 0, -57, 161) # Cremona label: 794b1 # (4,-1) (4,-3) (40/9,-77/27) (-8,-7) (19/4,-33/8) (19/4,-5/8) (-8,15) (40/9,-43/27) (9172/2601,-583787/132651) (6196/121,449805/1331) (6196/121,-517961/1331) (13105/3136,-299949/175616) (9172/2601,116015/132651) (13105/3136,-433931/175616) # # a-invariants: (1, 0, 0, 13, 539) # Cremona label: 794b2 # (83/4,-877/8) (83/4,711/8) (137/64,11759/512) (137/64,-12855/512) (-245/36,3353/216) (-245/36,-1883/216) (-1032391/246016,-2229631275/122023936) (-1032391/246016,2741697211/122023936) (50248204945/986965056,-12131621757026813/31006494199296) (50248204945/986965056,10553024150474693/31006494199296) # # a-invariants: (1, 1, 1, 4, -3) # Cremona label: 794c1 # (1,-3) (1,1) (3,5) (3,-9) (15,-69) (15,53) (25/49,-281/343) (25/49,-237/343) (463/36,-12055/216) (463/36,9061/216) (12241/3721,1288597/226981) (12241/3721,-2262279/226981) (116631/126025,-124069719/44738875) (116631/126025,37926839/44738875) (15474699/5929,-61484806487/456533) (15474699/5929,60292798131/456533) # # a-invariants: (1, 0, 0, 47, -471) # Cremona label: 794d1 # (10,27) (10,-37) (26,-149) (6,3) (26,123) (6,-9) (74,603) (74,-677) (1450/9,-57479/27) (1450/9,53129/27) (454/25,8907/125) (1930/289,44139/4913) (454/25,-11177/125) (1930/289,-76949/4913) (1721546/2401,2217118539/117649) (74861/5776,-24157817/438976) (74861/5776,18468381/438976) (1721546/2401,-2301474293/117649) (2729187190/64657681,-155394263045233/519912412921) (2729187190/64657681,133448868850443/519912412921) # # a-invariants: (1, 0, 0, -3473, -79127) # Cremona label: 794d2 # (102,743) (102,-845) (86,-553) (2029/16,74945/64) (86,467) (6454,-521709) (2029/16,-83061/64) (6454,515255) (10790854/65025,-34211657543/16581375) (10790854/65025,31459989773/16581375) # # a-invariants: (1, 0, 0, -281373, -57471035) # Cremona label: 794d3 # (103405/16,32929675/64) (103405/16,-33343295/64) # # a-invariants: (1, 1, 0, -8, 3) # Cremona label: 795a1 # (2,-1) (-2,-3) (-1/4,19/8) (-1/4,-17/8) (-2,5) (177/64,-2451/512) (674/49,-20287/343) (674/49,15569/343) (177/64,1035/512) (37054/93025,2116357/28372625) (37054/93025,-13417827/28372625) # # a-invariants: (1, 1, 0, -53, -168) # Cremona label: 795a2 # (-21/4,21/8) (8,-4) (-4,2) (181/16,1493/64) (-17/4,31/8) (-244/49,1490/343) (-17/4,3/8) (-244/49,218/343) (56,392) (181/16,-2217/64) (56,-448) (662216/20449,-581668580/2924207) (45537/3136,7306251/175616) (662216/20449,486971692/2924207) (45537/3136,-9856323/175616) # # a-invariants: (1, 1, 0, -848, -9867) # Cremona label: 795a3 # (-69/4,69/8) (-3377/196,23353/2744) (949/16,23127/64) (949/16,-26923/64) (-3377/196,23925/2744) (2494870977/64128064,58752242097459/513537536512) (2494870977/64128064,-78731168881275/513537536512) # # a-invariants: (1, 1, 0, 22, -513) # Cremona label: 795a4 # (27/4,-27/8) (8101/784,563555/21952) (223/4,-3597/8) (8101/784,-790383/21952) (223/4,3151/8) # # a-invariants: (0, -1, 1, -221, -1198) # Cremona label: 795b1 # # # a-invariants: (0, 1, 1, -491, 15251) # Cremona label: 795c1 # (1,121) (1,-122) # # a-invariants: (0, 1, 1, 4369, -387400) # Cremona label: 795c2 # # # a-invariants: (1, 0, 1, 21, -23) # Cremona label: 795d1 # (1,-1) # # a-invariants: (1, 0, 1, -104, -223) # Cremona label: 795d2 # (11,-6) (-9,4) (-9/4,5/8) # # a-invariants: (1, 0, 1, -1429, -20893) # Cremona label: 795d3 # (-89/4,85/8) # # a-invariants: (1, 0, 1, -779, 8147) # Cremona label: 795d4 # (71/4,-75/8) # # a-invariants: (1, 0, 0, 2, 1) # Cremona label: 797a1 # (0,-1) (0,1) (3/4,-17/8) (3/4,11/8) (112/9,-1373/27) (112/9,1037/27) (-1263/3136,-36989/175616) (-1263/3136,107717/175616) # # a-invariants: (1, 1, 0, -10, 4) # Cremona label: 798a1 # (-4,2) (0,2) (0,-2) (3,2) (3,-5) (-8/9,110/27) (5,-13) (5,8) (-8/9,-86/27) (-84/25,-254/125) (159/4,-2189/8) (-84/25,674/125) (159/4,1871/8) (1045/441,-18313/9261) (1112/2809,-110906/148877) (1045/441,-3632/9261) (1112/2809,51970/148877) (-97440/43681,-32076578/9129329) (-97440/43681,52441538/9129329) (13202321/1345600,-56289181061/1560896000) (13202321/1345600,40974488701/1560896000) # # a-invariants: (1, 1, 0, -150, 648) # Cremona label: 798a2 # (27/4,-27/8) (2,18) (2,-20) (6,0) (6,-6) (21,75) (7,-5) (21,-96) (7,-2) (-12,-24) (164/25,-372/125) (-12,36) (164/25,-448/125) (459/49,-6138/343) (73/9,-295/27) (459/49,2925/343) (73/9,76/27) (-898/121,-45240/1331) (2346/361,-26874/6859) (-898/121,55118/1331) (2346/361,-17700/6859) (92253/13456,-6579309/1560896) (92253/13456,-4122039/1560896) (4039/100,229843/1000) (4039/100,-270233/1000) (8380873/1238769,-5002590125/1378749897) (8380873/1238769,-4325321524/1378749897) (-29319852/27447121,4165356318024/143795466919) (-29319852/27447121,-4011749613396/143795466919) # # a-invariants: (1, 0, 1, -80, -226) # Cremona label: 798b1 # (-7,3) # # a-invariants: (1, 0, 1, -400, 2846) # Cremona label: 798b2 # (9,-5) (-23,11) (55/4,-59/8) # # a-invariants: (1, 0, 1, -6280, 191006) # Cremona label: 798b3 # (183/4,-187/8) # # a-invariants: (1, 0, 1, 360, 12574) # Cremona label: 798b4 # (-73/4,69/8) # # a-invariants: (1, 0, 1, -92, 326) # Cremona label: 798c1 # (5,-3) (3,-11) (3,7) (12,25) (12,-38) (6,-2) (-9,-17) (-9,25) (6,-5) (27/4,11/8) (-3,25) (27/4,-73/8) (-3,-23) (30,-173) (30,142) (111/25,101/125) (111/25,-781/125) (43/9,-131/27) (68,522) (68,-591) (43/9,-25/27) (-51/169,40561/2197) (-51/169,-42095/2197) (489/64,2585/512) (489/64,-7009/512) (-1317/121,-3931/1331) (-1317/121,17087/1331) (5652/961,-115553/29791) (5652/961,-89450/29791) (8055/5041,4400057/357911) (11166/1225,-921766/42875) (11166/1225,488081/42875) (8055/5041,-5329873/357911) (367923/1444,-230142175/54872) (367923/1444,216106229/54872) (450166/25281,229507637/4019679) (450166/25281,-305103710/4019679) (454740945/72726784,-4042393767151/620214013952) (454740945/72726784,-455851025761/620214013952) # # a-invariants: (1, 0, 1, -22, 830) # Cremona label: 798c2 # (-41/4,37/8) (10,35) (10,-46) (4,-31) (4,26) (118,1223) (118,-1342) (-8,-19) (-8,26) (-5/4,-233/8) (349/16,5939/64) (349/16,-7399/64) (-5/4,235/8) (-146/49,-9778/343) (736/25,-22031/125) (736/25,18226/125) (-146/49,10457/343) (-18404/2809,4353877/148877) (610/9,14150/27) (-18404/2809,-3527342/148877) (610/9,-16007/27) (25297/10816,29821069/1124864) (85207/6724,24522209/551368) (25297/10816,-33576821/1124864) (85207/6724,-32060551/551368) (-1163150/116281,508936330/39651821) (-1163150/116281,-151954001/39651821) (35279056/6175225,-512392193326/15345434125) (35279056/6175225,409378305041/15345434125) # # a-invariants: (1, 0, 1, -162, -476) # Cremona label: 798d1 # (-11,5) (17,-51) (17,33) (-4,12) (-4,-9) (-7,-15) (38,201) (-7,21) (38,-240) (101,-1059) (101,957) (-37/4,159/8) (-37/4,-93/8) (-79/25,429/125) (-79/25,-159/125) (14,0) (14,-15) (241,-3859) (241,3617) (-92/9,-187/27) (-92/9,436/27) (-283/49,6483/343) (1697/64,53667/512) (-283/49,-4845/343) (1697/64,-67755/512) (-4684/961,-365244/29791) (-4684/961,480657/29791) (17657/841,1540257/24389) (17657/841,-2076699/24389) (20174/25,-2916003/125) (-220039/20449,-5367045/2924207) (20174/25,2815008/125) (-220039/20449,33908415/2924207) (-862463/104329,-472287305/33698267) (-862463/104329,717164587/33698267) (213578081/3845521,-3254435101479/7541066681) (213578081/3845521,2828067417957/7541066681) (659077721/43665664,-9284247371685/288542707712) (659077721/43665664,4640519083605/288542707712) # # a-invariants: (1, 0, 1, -1142, 14420) # Cremona label: 798d2 # (87/4,-91/8) (17,-9) (-39,19) (-21,-161) (15,19) (24,-44) (150,1720) (-21,181) (150,-1871) (15,-35) (24,19) (3,-107) (36,-161) (159/25,10313/125) (42,-224) (42,181) (159/25,-11233/125) (36,124) (3,103) (411/4,7523/8) (-15,175) (405/16,1951/64) (411/4,-8353/8) (681/49,-14867/343) (405/16,-3635/64) (681/49,9757/343) (-15,-161) (546/25,-2071/125) (-4593/121,102401/1331) (2859/169,-30077/2197) (546/25,-784/125) (3228,-185012) (-4593/121,-53209/1331) (3228,181783) (2859/169,-9287/2197) (2176/9,97337/27) (4571/289,55077/4913) (2176/9,-103892/27) (4571/289,-137697/4913) (-9705/361,1191745/6859) (-9705/361,-1014209/6859) (-48351/46225,-1241606287/9938375) (99537/3136,-20798749/175616) (-48351/46225,1242063377/9938375) (99537/3136,15049061/175616) (705039/13924,-527275637/1643032) (705039/13924,442438003/1643032) (21919344/808201,33344996876/726572699) (-10846101/1168561,201891454471/1263214441) (-10846101/1168561,-191430033731/1263214441) (21919344/808201,-53777059831/726572699) (412660626/511225,-8524585462121/365525875) (412660626/511225,8229167588656/365525875) # # a-invariants: (1, 0, 1, -18152, 939764) # Cremona label: 798d3 # (311/4,-315/8) (78,-35) (168,-1709) (168,1540) (78,-44) (84,55) (2034/25,-12187/125) (84,-140) (2034/25,1892/125) (61317/784,-1039445/21952) (507/4,-7105/8) (61317/784,-699383/21952) (507/4,6083/8) (328524/4225,-10928737/274625) (390714/121,-246173860/1331) (390714/121,241874675/1331) (328524/4225,-10699948/274625) (824902/3249,636732173/185193) (824902/3249,-683936780/185193) (57019027551/643636900,-3509765429337811/16329068153000) (57019027551/643636900,2046863632215941/16329068153000) # # a-invariants: (1, 0, 1, 188, 46340) # Cremona label: 798d4 # (-137/4,133/8) (-14,-196) (148,-1897) (-14,209) (148,1748) (784/25,34063/125) (784/25,-38108/125) (22,-259) (22,236) (19531/196,-2959319/2744) (19531/196,2683141/2744) (-107/16,13727/64) (-107/16,-13363/64) (-100184/3025,-7910251/166375) (545518/169,399387737/2197) (-100184/3025,13253996/166375) (545518/169,-406481668/2197) (625786/2601,480897619/132651) (625786/2601,-512945356/132651) (1985121889/144961600,-409043657814667/1745337664000) (1985121889/144961600,383397452607107/1745337664000) (792914000746/944432168761,-198759440718315613109/917817125813146259) (792914000746/944432168761,197071054701211489876/917817125813146259) # # a-invariants: (1, 0, 1, -7801, 264524) # Cremona label: 798e1 # (52,-40) (52,-13) (79,338) (51,-26) (79,-418) # # a-invariants: (1, 0, 1, -7941, 254500) # Cremona label: 798e2 # (26,-270) (-409/4,405/8) (80,-405) (80,324) (26,243) # # a-invariants: (1, 0, 1, -11176, 13046) # Cremona label: 798e3 # (105,-53) (553,-13045) (154,-1474) (154,1319) (553,12491) # # a-invariants: (1, 0, 1, -120936, -16143626) # Cremona label: 798e4 # (-196,-102) (-196,297) (602,-11673) (-841/4,837/8) (602,11070) # # a-invariants: (1, 0, 1, -611671, -184179718) # Cremona label: 798e5 # (903,-452) # # a-invariants: (1, 0, 1, -9786711, -11785100294) # Cremona label: 798e6 # (-7225/4,7221/8) # # a-invariants: (1, 0, 1, -39, -86) # Cremona label: 798f1 # (7,-4) # # a-invariants: (1, 0, 1, -599, -5686) # Cremona label: 798f2 # (-57/4,53/8) # # a-invariants: (1, 1, 1, -354, -2193) # Cremona label: 798g1 # (-7,3) (-9,-15) (105,1011) (-9,23) (105,-1117) (-119/9,697/27) (29,-129) (-119/9,-367/27) (29,99) (21,-25) (21,3) (-15,11) (-15,3) (337/9,4801/27) (337/9,-5839/27) (-301/25,-2103/125) (-301/25,3483/125) (-975/121,24153/1331) (-975/121,-14759/1331) (819/4,-24231/8) (819/4,22585/8) (-581/81,6751/729) (-581/81,-2251/729) (1289,45651) (1289,-46941) (-35319/3481,-3551543/205379) (87885/1369,-26714517/50653) (87885/1369,23412119/50653) (-35319/3481,5429985/205379) (266221/11025,59385479/1157625) (266221/11025,-88496309/1157625) (25917929/495616,114431113899/348913664) (25917929/495616,-133026249579/348913664) # # a-invariants: (1, 1, 1, 766, -12049) # Cremona label: 798g2 # (51/4,-55/8) (103,-1135) (103,1031) (27,-185) (27,157) (205/9,-3931/27) (205/9,3289/27) (141,-1781) (141,1639) (5157,367807) (13,-25) (5157,-372965) (13,11) (3831/49,236935/343) (7291/225,684041/3375) (7291/225,-796781/3375) (3831/49,-264095/343) (19953/1024,3063335/32768) (98587/484,-32401477/10648) (19953/1024,-3734599/32768) (98587/484,30221915/10648) (104395/81,-34224427/729) (104395/81,33284143/729) (290934397/4765489,5052193430845/10403062487) (290934397/4765489,-5697706281983/10403062487) # # a-invariants: (1, 0, 0, -1015, 11561) # Cremona label: 798h1 # (22,-11) (8,59) (8,-67) (-10,149) (-10,-139) (26,-67) (26,41) (134,-1579) (134,1445) (14,5) (14,-19) (-34,101) (-34,-67) (50,-319) (38,149) (38,-187) (50,269) (-28,149) (326/25,2209/125) (-28,-121) (326/25,-3839/125) (95/4,-347/8) (278,-4747) (95/4,157/8) (278,4469) (-26/9,-3209/27) (4,85) (4,-89) (-26/9,3287/27) (1394,51341) (1394,-52735) (1094/49,-8077/343) (1094/49,419/343) (-3058/169,360833/2197) (1310/121,-64769/1331) (1310/121,50359/1331) (-3058/169,-321079/2197) (10742/361,508631/6859) (10742/361,-712729/6859) (1994/25,-87863/125) (1994/25,77893/125) (7592/529,-102659/12167) (7592/529,-71957/12167) (-10570/289,137317/4913) (-10570/289,42373/4913) (18401/256,-2432407/4096) (18401/256,2137991/4096) (170362/7569,-17712481/658503) (868870/961,-822984389/29791) (868870/961,796049419/29791) (170362/7569,2890987/658503) (59523542/170569,-469834747367/70444997) (59523542/170569,445251524521/70444997) (405549551/7496644,-7537051050155/20525811272) (1236030134/34374769,26186869569251/201539270647) (1236030134/34374769,-33433714244893/201539270647) (405549551/7496644,6426656379517/20525811272) (6741313075754/282676969,17446576667396300897/4752647879797) (6741313075754/282676969,-17559918364138952899/4752647879797) # # a-invariants: (1, 0, 0, -3255, -57879) # Cremona label: 798h2 # (-177/4,177/8) (-24,93) (84,-555) (-24,-69) (84,471) (-30,-99) (138,-1527) (138,1389) (-30,129) (1110,-37491) (-42,93) (1110,36381) (-42,-51) (66,93) (-1014/49,-5685/343) (66,-159) (-1014/49,12783/343) (-924/25,-11541/125) (-924/25,16161/125) (312,5259) (312,-5571) (-2319/64,-48693/512) (-2319/64,67245/512) (1119/4,-37731/8) (1119/4,35493/8) (56280/841,-4680489/24389) (-188/9,1181/27) (56280/841,3048369/24389) (-188/9,-617/27) (68322/49,17605659/343) (68322/49,-18083913/343) (-147750/3481,-9050169/205379) (-147750/3481,17767419/205379) (-598506/20449,-284551149/2924207) (217014/1681,84820965/68921) (-598506/20449,370137507/2924207) (217014/1681,-93718539/68921) (789834/9025,454608087/857375) (789834/9025,-529642317/857375) (-6760824/152881,819568731/59776471) (176381076/1849,-2346286116075/79507) (-6760824/152881,1823913453/59776471) (176381076/1849,2338701729807/79507) (6580171114/7273809,-541635771624347/19617462873) (6580171114/7273809,523889050129889/19617462873) (17537451094493823/257695405775236,654473858079259466966427/4136757033196851332984) (17537451094493823/257695405775236,-936000701529352791240189/4136757033196851332984) # # a-invariants: (1, 0, 0, 3, -15) # Cremona label: 798i1 # (2,-1) # # a-invariants: (1, 0, 0, -77, -255) # Cremona label: 798i2 # (10,-5) (-17/4,17/8) (-6,3) # # a-invariants: (1, 0, 0, -1217, -16443) # Cremona label: 798i3 # (-81/4,81/8) # # a-invariants: (1, 0, 0, -217, 893) # Cremona label: 798i4 # (26,-127) (47/4,-47/8) (26,101) # # a-invariants: (1, 1, 1, -16, 16) # Cremona label: 799a1 # (-5,2) # # a-invariants: (1, 1, 1, -251, 1426) # Cremona label: 799a2 # (35/4,-39/8) # # a-invariants: (1, 1, 1, -118, 418) # Cremona label: 799b1 # (7,-4) (16/9,362/27) (16/9,-437/27) (-2,26) (-2,-25) (451/4,-10043/8) (67/9,22/27) (67/9,-250/27) (451/4,9133/8) (-608/81,24814/729) (94/25,562/125) (-608/81,-20071/729) (94/25,-1157/125) (65857/2304,14555497/110592) (65857/2304,-17827225/110592) (7115429347/520478596,387947597588059/11874198689144) (7115429347/520478596,-562153201399661/11874198689144) # # a-invariants: (1, 1, 1, -353, -2120) # Cremona label: 799b2 # (-61/4,57/8) (-65/9,-205/27) (23,-63) (-65/9,373/27) (23,39) (4075/36,-270121/216) (-823/64,14409/512) (4075/36,245455/216) (-823/64,-8337/512) (-21761/2025,-1734677/91125) (-21761/2025,2622797/91125) # # a-invariants: (0, 0, 0, -25, 0) # Cremona label: 800a1 # (-5,0) (5,0) (0,0) (25/4,75/8) (-5/9,-100/27) (25/4,-75/8) (-4,-6) (45,-300) (-4,6) (-5/9,100/27) (45,300) (1681/144,62279/1728) (12005/961,1205400/29791) (12005/961,-1205400/29791) (-4805/2401,-762600/117649) (-3600/1681,-455700/68921) (-4805/2401,762600/117649) (1681/144,-62279/1728) (-3600/1681,455700/68921) (-2439844/5094049,39601568754/11497268593) (127351225/2439844,-1430549626725/3811036328) (127351225/2439844,1430549626725/3811036328) (-2439844/5094049,-39601568754/11497268593) (11183412793921/2234116132416,-1791076534232245919/3339324446657665536) (11183412793921/2234116132416,1791076534232245919/3339324446657665536) # # a-invariants: (0, 0, 0, -275, -1750) # Cremona label: 800a2 # (-10,0) (-86/9,62/27) (-86/9,-62/27) (185/4,2325/8) (185/4,-2325/8) (2652241/138384,-227577511/51478848) (-36901210/4036081,-1053494700/8108486729) (-36901210/4036081,1053494700/8108486729) (2652241/138384,227577511/51478848) # # a-invariants: (0, 0, 0, -275, 1750) # Cremona label: 800a3 # (10,0) (9,2) (-15,50) (-15,-50) (9,-2) (385/36,1225/216) (46,294) (385/36,-1225/216) (46,-294) (2985/3721,-8878150/226981) (9969/1369,585478/50653) (2985/3721,8878150/226981) (9969/1369,-585478/50653) (5072881/345744,-6009289271/203297472) (5072881/345744,6009289271/203297472) (24798010/1615441,69501614700/2053225511) (24798010/1615441,-69501614700/2053225511) # # a-invariants: (0, 0, 0, 100, 0) # Cremona label: 800a4 # (0,0) (20,-100) (20,100) (5,-25) (5,25) (400/9,-8200/27) (9/4,123/8) (400/9,8200/27) (9/4,-123/8) (2420/5041,2482700/357911) (25205/121,-4006175/1331) (25205/121,4006175/1331) (2420/5041,-2482700/357911) (24206400/2307361,-164532721200/3504881359) (2307361/242064,5079780559/119095488) (24206400/2307361,164532721200/3504881359) (2307361/242064,-5079780559/119095488) (642780541615689/12428684888356,16598336311240499643237/43816508280696446504) (642780541615689/12428684888356,-16598336311240499643237/43816508280696446504) # # a-invariants: (0, 1, 0, -8, 8) # Cremona label: 800b1 # (2,-2) (2,2) (-1,4) (-1,-4) (-14/9,-118/27) (-14/9,118/27) (113/64,809/512) (113/64,-809/512) (5714/25,-432838/125) (5714/25,432838/125) (72223/31329,-14800076/5545233) (72223/31329,14800076/5545233) # # a-invariants: (0, 1, 0, -158, -812) # Cremona label: 800c1 # (-7,0) (18,-50) (-8,2) (18,50) (-8,-2) (141/4,-1573/8) (-1283/169,6050/2197) (-1283/169,-6050/2197) (141/4,1573/8) (714898/4761,-604280350/328509) (714898/4761,604280350/328509) (561614673/39589264,-409193415359/249095649088) (561614673/39589264,409193415359/249095649088) (610889325795858/4788617500681,15081769949894854597250/10478888579182726171) (610889325795858/4788617500681,-15081769949894854597250/10478888579182726171) # # a-invariants: (0, 1, 0, -33, -1937) # Cremona label: 800c2 # (13,0) (63,500) (63,-500) (23,100) (23,-100) (138,1625) (17,52) (138,-1625) (17,-52) (7327/529,-259500/12167) (7327/529,259500/12167) (5407/9,397900/27) (5407/9,-397900/27) (528333/14641,376493000/1771561) (23429/676,-3504281/17576) (528333/14641,-376493000/1771561) (23429/676,3504281/17576) (96653567/6901129,422917848500/18129265883) (354077007/693889,-6668698607500/578009537) (354077007/693889,6668698607500/578009537) (96653567/6901129,-422917848500/18129265883) # # a-invariants: (0, 0, 0, -125, 0) # Cremona label: 800d1 # (0,0) # # a-invariants: (0, 0, 0, 500, 0) # Cremona label: 800d2 # (0,0) # # a-invariants: (0, 1, 0, -208, -1412) # Cremona label: 800e1 # # # a-invariants: (0, -1, 0, -8, -8) # Cremona label: 800f1 # # # a-invariants: (0, -1, 0, -158, 812) # Cremona label: 800g1 # (7,0) # # a-invariants: (0, -1, 0, -33, 1937) # Cremona label: 800g2 # (-13,0) # # a-invariants: (0, 0, 0, -5, 0) # Cremona label: 800h1 # (0,0) (-1,2) (-1,-2) (5,-10) (5,10) (-20/9,10/27) (-20/9,-10/27) (9/4,3/8) (9/4,-3/8) (-121/169,3938/2197) (845/121,23270/1331) (845/121,-23270/1331) (-121/169,-3938/2197) (25921/144,4172959/1728) (-720/25921,1555140/4173281) (25921/144,-4172959/1728) (-720/25921,-1555140/4173281) # # a-invariants: (0, 0, 0, 20, 0) # Cremona label: 800h2 # (0,0) (5,15) (4,12) (5,-15) (4,-12) (1/36,161/216) (1/36,-161/216) (720,-19320) (720,19320) (128164/20449,56365668/2924207) (128164/20449,-56365668/2924207) (671794561/3732624,17417617790399/7211429568) (671794561/3732624,-17417617790399/7211429568) # # a-invariants: (0, -1, 0, -208, 1412) # Cremona label: 800i1 # (-8,50) (-8,-50) (17,-50) (17,50) (8,-14) (8,14) (97/16,1175/64) (97/16,-1175/64) (2152/81,86050/729) (2152/81,-86050/729) (-671/49,-13306/343) (-671/49,13306/343) (255512/961,-128727950/29791) (255512/961,128727950/29791) (-307183/141376,-2285745575/53157376) (-307183/141376,2285745575/53157376) # # a-invariants: (0, 0, 1, -3972, -169349) # Cremona label: 801a1 # # # a-invariants: (1, -1, 1, -14, -12) # Cremona label: 801b1 # (-1,0) # # a-invariants: (1, -1, 1, 31, -102) # Cremona label: 801b2 # (11/4,-15/8) # # a-invariants: (0, 0, 1, -30, -90) # Cremona label: 801c1 # (8,-14) (8,13) (20,85) (20,-86) (641/16,-16097/64) (641/16,16033/64) (2460/361,-35785/6859) (2460/361,28926/6859) (242905961/22657600,-3143798425291/107850176000) (242905961/22657600,3035948249291/107850176000) # # a-invariants: (0, 0, 1, 240, 1233) # Cremona label: 801c2 # (3,44) (3,-45) (137/16,3973/64) (-1,31) (137/16,-4037/64) (359,6808) (359,-6809) (-1,-32) (827/49,-34628/343) (25787/289,-4208908/4913) (827/49,34285/343) (-5791/1600,-1171823/64000) (-5791/1600,1107823/64000) (25787/289,4203995/4913) (-22139449/4721929,17589408016/10260751717) (-22139449/4721929,-27850159733/10260751717) (-11707687437/2872852801,2031495616916676/153982037280799) (-11707687437/2872852801,-2185477654197475/153982037280799) # # a-invariants: (1, -1, 0, -9, -14) # Cremona label: 801d1 # (6,-14) (6,8) (2655/484,65513/10648) (2655/484,-123923/10648) # # a-invariants: (1, -1, 1, 2, -1) # Cremona label: 802a1 # # # a-invariants: (1, 0, 0, -9, -11) # Cremona label: 802b1 # (-2,1) # # a-invariants: (1, 0, 0, -19, 15) # Cremona label: 802b2 # (15/4,-15/8) # # a-invariants: (0, -1, 0, 59, -122) # Cremona label: 804a1 # (2,0) # # a-invariants: (0, -1, 0, -276, -792) # Cremona label: 804a2 # (-3,0) # # a-invariants: (0, -1, 0, -1373, -19191) # Cremona label: 804b1 # (71,486) (71,-486) (55,262) (55,-262) (32969/16,-5983875/64) (32969/16,5983875/64) # # a-invariants: (0, -1, 0, -12, 24) # Cremona label: 804c1 # (2,-2) (2,2) (-2,6) (-2,-6) (5,8) (5,-8) (46/9,226/27) (46/9,-226/27) (-94/49,2066/343) (-94/49,-2066/343) (505/256,8307/4096) (505/256,-8307/4096) (21698,3196094) (21698,-3196094) (-1250059/600625,2778445864/465484375) (-1250059/600625,-2778445864/465484375) (-129769320095/70662398976,113437902828124783/18783761545396224) (-129769320095/70662398976,-113437902828124783/18783761545396224) # # a-invariants: (0, 1, 0, 84, 36) # Cremona label: 804d1 # (12,54) (12,-54) (0,6) (0,-6) (3,-18) (3,18) (48,-342) (48,342) (60,-474) (60,474) (57/16,1269/64) (57/16,-1269/64) (-4/25,594/125) (-4/25,-594/125) (3792/361,320814/6859) (3792/361,-320814/6859) (4515,-303414) (4515,303414) (17868/90601,197808498/27270901) (17868/90601,-197808498/27270901) (351945/141376,868170021/53157376) (351945/141376,-868170021/53157376) (169770016/2205225,2241959419486/3274759125) (169770016/2205225,-2241959419486/3274759125) # # a-invariants: (0, -1, 1, 23004, 2393001) # Cremona label: 805a1 # (181/4,-15023/8) (181/4,15015/8) # # a-invariants: (1, -1, 1, -163, -758) # Cremona label: 805b1 # (-7,3) # # a-invariants: (1, -1, 1, -138, -1018) # Cremona label: 805b2 # (59/4,-63/8) # # a-invariants: (1, -1, 1, 2, 2356) # Cremona label: 805c1 # (10,52) (10,-63) (-13,6) # # a-invariants: (1, -1, 1, -2643, 52082) # Cremona label: 805c2 # (-59,29) (33,-17) (107/4,-111/8) # # a-invariants: (1, -1, 1, -5518, -79018) # Cremona label: 805c3 # (-261/4,257/8) # # a-invariants: (1, -1, 1, -42088, 3333906) # Cremona label: 805c4 # (475/4,-479/8) # # a-invariants: (0, 0, 1, -13, 49) # Cremona label: 805d1 # # # a-invariants: (1, 0, 1, -3, 30) # Cremona label: 806a1 # (6,12) (6,-19) (0,-6) (0,5) (-125/36,329/216) (-125/36,205/216) (-24/121,6847/1331) (-24/121,-7914/1331) (85566/15625,20475636/1953125) (85566/15625,-33124511/1953125) (1786081/576,-2408531987/13824) (1786081/576,2365652219/13824) # # a-invariants: (1, 1, 0, 52, -176) # Cremona label: 806b1 # (5,-18) (5,13) (9,-38) (9,29) (2157/16,96467/64) (2157/16,-105095/64) (14393/4489,1335855/300763) (14393/4489,-2300186/300763) (74279461/4052169,-774399253522/8157016197) (74279461/4052169,624874698529/8157016197) # # a-invariants: (1, 0, 0, -97, 361) # Cremona label: 806c1 # (12,-37) (12,25) (6,-1) (6,-5) (46/9,-7/27) (46/9,-131/27) (0,-19) (0,19) (-45/4,-17/8) (-45/4,107/8) (16/9,-401/27) (16/9,353/27) (2814/529,-52015/12167) (2814/529,-12707/12167) (2262/361,-875/6859) (2262/361,-42103/6859) (33724/2025,-6098633/91125) (33724/2025,4581053/91125) (21873/64,3147275/512) (21873/64,-3322259/512) (2078556/219961,1330462421/103161709) (2078556/219961,-2305305185/103161709) (7441654/1279161,-6278418463/1446731091) (7441654/1279161,-2138092211/1446731091) # # a-invariants: (1, -1, 1, 318, -2367) # Cremona label: 806d1 # (137,1543) (137,-1681) (33,191) (33,-225) (13,-69) (13,55) (7,-17) (7,9) (201/25,-3789/125) (201/25,2659/125) (17,79) (17,-97) (427/9,8615/27) (427/9,-9923/27) (293,4871) (293,-5165) (1377,-51777) (1377,50399) (1969/25,-93957/125) (1969/25,83987/125) (4687/196,338997/2744) (4687/196,-407359/2744) (1233/121,49941/1331) (1233/121,-64835/1331) (46717/4761,-15043349/328509) (46717/4761,11491367/328509) (164171/7225,70917851/614125) (164171/7225,-85486511/614125) (1304241881/73188025,-64393716979219/626123553875) (1304241881/73188025,52609804133389/626123553875) # # a-invariants: (1, 0, 0, 2511, 39401) # Cremona label: 806e1 # (10,-261) (10,251) # # a-invariants: (1, 0, 0, -25649, -2195479) # Cremona label: 806e2 # (290,-3989) (290,3699) # # a-invariants: (1, 0, 0, -2293609, -1337178239) # Cremona label: 806e3 # # # a-invariants: (1, 1, 1, -14105, 638919) # Cremona label: 806f1 # (43,316) (43,-360) (69,-48) (69,-22) # # a-invariants: (1, 1, 1, 66885, 2264179) # Cremona label: 806f2 # # # a-invariants: (0, 1, 1, -49, 115) # Cremona label: 807a1 # (5,4) (5,-5) # # a-invariants: (0, 1, 1, -409, -3260) # Cremona label: 807a2 # # # a-invariants: (0, 0, 0, -11, -26) # Cremona label: 808a1 # # # a-invariants: (0, -1, 0, -129, -523) # Cremona label: 808b1 # # # a-invariants: (1, -1, 0, -9, 15) # Cremona label: 810a1 # (1,-3) (1,2) # # a-invariants: (1, -1, 0, 66, -100) # Cremona label: 810a2 # # # a-invariants: (1, -1, 0, 36, 120) # Cremona label: 810b1 # (1,12) (1,-13) # # a-invariants: (1, -1, 0, -339, -4555) # Cremona label: 810b2 # # # a-invariants: (1, -1, 0, -114, -10252) # Cremona label: 810c1 # (37,-206) (37,169) # # a-invariants: (1, -1, 0, -39489, -3010627) # Cremona label: 810c2 # # # a-invariants: (1, -1, 0, -24, 80) # Cremona label: 810d1 # (1,7) (1,-8) (16,-68) (16,52) (-4,12) (4,-8) (-4,-8) (4,4) (19/4,-79/8) (19/4,41/8) (-5,10) (11,-38) (-5,-5) (11,27) (316,-5768) (4/49,3016/343) (4/49,-3044/343) (316,5452) (16/9,-196/27) (16/9,148/27) (-719/256,-38993/4096) (649/25,14408/125) (569/169,-15501/2197) (-719/256,50497/4096) (569/169,8104/2197) (649/25,-17653/125) (30364/3721,-5336708/226981) (30364/3721,3484504/226981) (2771059/34969,-4841563439/6539203) (-65645/66564,-164958815/17173512) (2771059/34969,4323375406/6539203) (-65645/66564,181895225/17173512) # # a-invariants: (1, -1, 0, 201, -1315) # Cremona label: 810d2 # (14,57) (14,-71) (35/4,225/8) (35/4,-295/8) (139294/441,50514437/9261) (139294/441,-53439611/9261) (26518961/1081600,-164292134161/1124864000) (26518961/1081600,136712414721/1124864000) # # a-invariants: (1, -1, 1, 7, 1) # Cremona label: 810e1 # (1,-4) (1,2) # # a-invariants: (1, -1, 1, -83, -323) # Cremona label: 810e2 # # # a-invariants: (1, -1, 1, 22, 41) # Cremona label: 810f1 # (1,-9) (1,7) # # a-invariants: (1, -1, 1, -218, -1943) # Cremona label: 810f2 # # # a-invariants: (1, -1, 1, -4388, 112967) # Cremona label: 810g1 # (37,-35) (37,-3) # # a-invariants: (1, -1, 1, -1028, 277831) # Cremona label: 810g2 # # # a-invariants: (1, -1, 1, -38, 181) # Cremona label: 810h1 # (1,-13) (1,11) (25,-133) (5,-13) (25,107) (5,7) (-5,17) (-5,-13) (-7,-5) (7,-19) (-7,11) (7,11) (13,35) (13,-49) (-5/4,-119/8) (25/9,209/27) (145,1667) (-5/4,121/8) (145,-1813) (25/9,-311/27) (-59/25,2071/125) (169/49,2381/343) (-59/25,-1901/125) (71,-629) (71,557) (169/49,-3907/343) (-2675/361,44813/6859) (995/121,-32023/1331) (5545/529,-426131/12167) (-2675/361,-847/6859) (995/121,19747/1331) (5545/529,286429/12167) (-5903/1521,1036469/59319) (30793/841,4822519/24389) (4417/1024,216463/32768) (4417/1024,-390575/32768) (-5903/1521,-865571/59319) (30793/841,-5739905/24389) (151675/83521,-294699727/24137569) (1066045/1369,-1119868789/50653) (151675/83521,226728083/24137569) (1066045/1369,1080374471/50653) # # a-invariants: (1, -1, 1, 322, -3563) # Cremona label: 810h2 # (23,-137) (23,113) (11,29) (11,-41) (5203/36,361283/216) (5203/36,-392717/216) (85859/1225,-27237043/42875) (85859/1225,24189103/42875) (214786727/23107249,-2033898220441/111076545943) (214786727/23107249,890341877809/111076545943) (45906983929/1309860864,-11440795627022243/47406484389888) (45906983929/1309860864,9731923580273987/47406484389888) # # a-invariants: (0, 0, 1, -2, -2) # Cremona label: 811a1 # (2,1) (2,-2) (64/9,487/27) (64/9,-514/27) (13241/2116,-1527287/97336) (13241/2116,1429951/97336) (18783748/9018009,-61382714329/27081081027) (18783748/9018009,34301633302/27081081027) # # a-invariants: (0, 0, 0, -40, -124) # Cremona label: 812a1 # # # a-invariants: (0, -1, 0, -36, 232) # Cremona label: 812b1 # (-6,14) (-6,-14) (22,-98) (22,98) (1,14) (1,-14) (6,14) (6,-14) (58/9,-406/27) (58/9,406/27) (9/16,-931/64) (9/16,931/64) (634/25,15302/125) (634/25,-15302/125) (-314/49,4318/343) (-314/49,-4318/343) (4257,277718) (4257,-277718) (-42026/7569,-9984142/658503) (-42026/7569,9984142/658503) (282426/14641,141097054/1771561) (282426/14641,-141097054/1771561) (32833/23104,-47336639/3511808) (32833/23104,47336639/3511808) (10227169/94653441,13908077401274/920883327489) (10227169/94653441,-13908077401274/920883327489) # # a-invariants: (0, 1, 1, -2, -1) # Cremona label: 813a1 # # # a-invariants: (0, 1, 1, -73, 190) # Cremona label: 813b1 # (8,-14) (8,13) (2,-8) (5/4,-85/8) (2,7) (5/4,77/8) (-10,-5) (-10,4) (113/16,529/64) (548,-12839) (236/25,2534/125) (548,12838) (236/25,-2659/125) (113/16,-593/64) (190/729,-267463/19683) (-35587/3844,-3117919/238328) (-35587/3844,2879591/238328) (21050/8281,-4333811/753571) (21050/8281,3580240/753571) (190/729,247780/19683) (26135033/2238016,-111020432557/3348071936) (26135033/2238016,107672360621/3348071936) # # a-invariants: (0, 1, 1, -1423, -21113) # Cremona label: 813b2 # (65,-407) (65,406) (-91/4,11/8) (-1781/81,3565/729) (-1781/81,-4294/729) (-91/4,-19/8) (-3649/169,-8822/2197) (-3649/169,6625/2197) (8209445/61009,-22571025641/15069223) (3089125/68121,-1757005507/17779581) (3089125/68121,1739225926/17779581) (219401/400,102607949/8000) (8209445/61009,22555956418/15069223) (219401/400,-102615949/8000) (-521087685299/23205647556,-18541031926741687/3535009114795704) (-521087685299/23205647556,15006022811945983/3535009114795704) # # a-invariants: (0, 1, 1, -115243, -15096572) # Cremona label: 813b3 # (-10750211/54756,-6409207/12812904) (-10750211/54756,-6403697/12812904) (994797578480689/1662397635600,24492567082888027710287/2143395767484504000) (994797578480689/1662397635600,-24494710478655512214287/2143395767484504000) # # a-invariants: (1, 0, 1, 5, 30) # Cremona label: 814a1 # (0,-6) (0,5) (22,-116) (-2,4) (11/4,51/8) (11/4,-81/8) (22,93) (-2,-3) (-1463/576,-6329/13824) (-1463/576,27617/13824) (1848/361,75798/6859) (456/49,8574/343) (1848/361,-117769/6859) (456/49,-12109/343) (24762779952/20961537961,15580438439231849/3034832427531541) (24762779952/20961537961,-22200450910993902/3034832427531541) # # a-invariants: (1, 0, 1, -50, -828) # Cremona label: 814a2 # (12,-25) (12,12) (86,752) (86,-839) (91/4,703/8) (91/4,-893/8) (40910/1849,6636211/79507) (40910/1849,-8474848/79507) (5846580/64009,13358865131/16194277) (5846580/64009,-14854244148/16194277) (121097761/10188864,352054899293/32522853888) (121097761/10188864,-771121806293/32522853888) # # a-invariants: (1, -1, 1, -28, 63) # Cremona label: 814b1 # (3,-3) (3,-1) (1,5) (1,-7) (9,-27) (9,17) (31/9,-41/27) (31/9,-79/27) (-21/4,-35/8) (-21/4,69/8) (463/121,-881/1331) (463/121,-5543/1331) (3129/625,-135667/15625) (3129/625,41817/15625) (-5903/3249,-1819679/185193) (-5903/3249,1970957/185193) (1504801/43264,1645018601/8998912) (1504801/43264,-1967016121/8998912) (1580377681/657460881,-72332904815695/16857954449721) (1580377681/657460881,14952486247453/16857954449721) # # a-invariants: (0, 1, 1, 15, -69) # Cremona label: 815a1 # (5,12) (5,-13) (55,412) (55,-413) (45/4,-329/8) (3,3) (45/4,321/8) (3,-4) (14545/1089,1846819/35937) (1961/49,-88444/343) (7745/2704,-412329/140608) (7745/2704,271721/140608) (14545/1089,-1882756/35937) (1961/49,88101/343) (14640811613261/1527238714225,-62042051770747884459/1887384511619968375) (14640811613261/1527238714225,60154667259127916084/1887384511619968375) # # a-invariants: (0, 1, 1, -985, -12244) # Cremona label: 815a2 # (38,-82) (38,81) (364,-6928) (364,6927) (237/4,-3007/8) (237/4,2999/8) (671944/7225,-517494897/614125) (671944/7225,516880772/614125) (222892778/1485961,-3260115262953/1811386459) (222892778/1485961,3258303876494/1811386459) (6672024241/144288144,-361190106320399/1733189185728) (6672024241/144288144,359456917134671/1733189185728) # # a-invariants: (0, -1, 0, -48, 144) # Cremona label: 816a1 # (4,0) (0,-12) (6,6) (6,-6) (0,12) (5,-2) (5,2) (-4,-16) (-4,16) (96/25,156/125) (54,-390) (96/25,-156/125) (54,390) (196/81,-4384/729) (196/81,4384/729) (145/16,-1233/64) (145/16,1233/64) (11286/2401,-43674/117649) (-6240/841,147588/24389) (-6240/841,-147588/24389) (11286/2401,43674/117649) (140924/43681,32035120/9129329) (60581/4225,12875654/274625) (140924/43681,-32035120/9129329) (60581/4225,-12875654/274625) # # a-invariants: (0, -1, 0, -8, 336) # Cremona label: 816a2 # (-7,0) (2,-18) (10,34) (2,18) (10,-34) (125/4,-1377/8) (-3,-18) (-3,18) (125/4,1377/8) (-758/169,35530/2197) (1346/25,-48906/125) (1346/25,48906/125) (-758/169,-35530/2197) (9697/1296,-1179433/46656) (9697/1296,1179433/46656) (-13567678/2019241,-18428745798/2869341461) (-13567678/2019241,18428745798/2869341461) (2503433661/184552225,-126343726286166/2507141976625) (2503433661/184552225,126343726286166/2507141976625) # # a-invariants: (0, -1, 0, -52, -128) # Cremona label: 816b1 # (-4,0) # # a-invariants: (0, -1, 0, -72, 0) # Cremona label: 816b2 # (0,0) (9,0) (-8,0) # # a-invariants: (0, -1, 0, -752, 8160) # Cremona label: 816b3 # (17,0) # # a-invariants: (0, -1, 0, 288, -288) # Cremona label: 816b4 # (1,0) (18,102) (18,-102) # # a-invariants: (0, -1, 0, -17, -51) # Cremona label: 816c1 # # # a-invariants: (0, 1, 0, 511, 1899) # Cremona label: 816d1 # # # a-invariants: (0, -1, 0, -4088, -99216) # Cremona label: 816e1 # (-36,0) # # a-invariants: (0, -1, 0, -3448, -131984) # Cremona label: 816e2 # (73,0) # # a-invariants: (0, -1, 0, -12008, 386928) # Cremona label: 816e3 # (36,0) # # a-invariants: (0, -1, 0, 28952, 2418544) # Cremona label: 816e4 # (-71,0) # # a-invariants: (0, -1, 0, 11, 61) # Cremona label: 816f1 # # # a-invariants: (0, -1, 0, -949, 11581) # Cremona label: 816f2 # # # a-invariants: (0, -1, 0, -5, 9) # Cremona label: 816g1 # (1,2) (1,-2) (0,-3) (0,3) (25,-122) (25,122) (61/36,-343/216) (61/36,343/216) (-839/625,-52966/15625) (-839/625,52966/15625) (24696/3721,-3398013/226981) (24696/3721,3398013/226981) (-40386575/16941456,90624254687/69731032896) (-40386575/16941456,-90624254687/69731032896) # # a-invariants: (0, -1, 0, -544, -4352) # Cremona label: 816h1 # (-16,0) (-14,-18) (-14,18) (112,1152) (112,-1152) (33,112) (-528/49,4096/343) (33,-112) (-528/49,-4096/343) (-22862/2209,-820494/103823) (-22862/2209,820494/103823) (-60771344/4601025,185831317504/9869198625) (3798209/50176,-6951174945/11239424) (3798209/50176,6951174945/11239424) (-60771344/4601025,-185831317504/9869198625) # # a-invariants: (0, -1, 0, -1824, 25344) # Cremona label: 816h2 # (33,0) (16,0) (-48,0) (50,238) (114,-1134) (240/49,44064/343) (-16,224) (-16,-224) (114,1134) (50,-238) (240/49,-44064/343) (51216/4225,-19160064/274625) (75921/256,-20675655/4096) (1873/49,34320/343) (75921/256,20675655/4096) (-35888/1089,-7920640/35937) (-35888/1089,7920640/35937) (1873/49,-34320/343) (51216/4225,19160064/274625) (-5409100560/130667761,-250828127113248/1493663175991) (-5409100560/130667761,250828127113248/1493663175991) (18120168094081/230861030400,-66513889239422372929/110924107886592000) (18120168094081/230861030400,66513889239422372929/110924107886592000) # # a-invariants: (0, -1, 0, -27744, 1787904) # Cremona label: 816h3 # (80,272) (114,-306) (97,0) (96,0) (114,306) (-192,0) (80,-272) (11584/121,-13056/1331) (146,-910) (11584/121,13056/1331) (6225/64,5049/512) (5042/49,37570/343) (2256/25,13104/125) (146,910) (6225/64,-5049/512) (9168/169,1456560/2197) (9168/169,-1456560/2197) (-1184/9,-47872/27) (1185,40392) (2256/25,-13104/125) (1185,-40392) (-1184/9,47872/27) (5042/49,-37570/343) (86872273/278784,710578072295/147197952) (-12985536/485809,-536423247360/338608873) (86872273/278784,-710578072295/147197952) (20360209/207025,-2853228048/94196375) (-12985536/485809,536423247360/338608873) (20360209/207025,2853228048/94196375) # # a-invariants: (0, -1, 0, 3616, 142848) # Cremona label: 816h4 # (-31,0) (5042/49,433026/343) (18,462) (5042/49,-433026/343) (18,-462) (316571921/1081600,-5756531376519/1124864000) (-572591/53361,-3950137360/12326391) (-572591/53361,3950137360/12326391) (316571921/1081600,5756531376519/1124864000) # # a-invariants: (0, -1, 0, -443904, 113984640) # Cremona label: 816h5 # (386,34) (386,-34) (385,0) (216,5304) (360,840) (65064/169,408/2197) (9624/25,168/125) (9624/25,-168/125) (360,-840) (65064/169,-408/2197) (216,-5304) (66290/169,542710/2197) (471794/1225,-201578/42875) (11209/9,-1042712/27) (2981449/7744,-35547/681472) (471794/1225,201578/42875) (11209/9,1042712/27) (66290/169,-542710/2197) (2981449/7744,35547/681472) (64586841446785/135435776256,161647636821741066815/49842532634628096) (64586841446785/135435776256,-161647636821741066815/49842532634628096) # # a-invariants: (0, -1, 0, -26304, 1980288) # Cremona label: 816h6 # (98,578) (98,-578) (-191,0) (1857/16,44217/64) (-174,-1122) (81,612) (4722,-324258) (1857/16,-44217/64) (81,-612) (4722,324258) (-174,1122) (-75047/576,-24646787/13824) (506354/8281,-582141370/753571) (506354/8281,582141370/753571) (3506/25,126854/125) (143353/121,-53774808/1331) (3506/25,-126854/125) (-75047/576,24646787/13824) (143353/121,53774808/1331) (-2452320205919/100574608225,51495253700785589904/31895728379435375) (-2452320205919/100574608225,-51495253700785589904/31895728379435375) # # a-invariants: (0, 1, 0, -1621, 24623) # Cremona label: 816i1 # (-1,162) (-1,-162) (26,27) (26,-27) (23,-6) (23,6) (77/4,243/8) (77/4,-243/8) (71,-522) (71,522) (-46,-63) (-46,63) (1271/25,34506/125) (1271/25,-34506/125) (329/16,1293/64) (329/16,-1293/64) (11999/529,76194/12167) (11999/529,-76194/12167) (23378/841,-1039149/24389) (23378/841,1039149/24389) (-1793/169,443442/2197) (-1793/169,-443442/2197) (283061/196,-150592527/2744) (283061/196,150592527/2744) (3131834/126025,780508527/44738875) (3131834/126025,-780508527/44738875) # # a-invariants: (0, 1, 0, -40, -76) # Cremona label: 816j1 # (-2,0) (14,-48) (-4,6) (14,48) (-4,-6) (-50/9,-64/27) (-50/9,64/27) (7,-6) (7,6) (-340/121,6258/1331) (1838/49,-78672/343) (-340/121,-6258/1331) (1838/49,78672/343) (12481/144,-1398601/1728) (12481/144,1398601/1728) (18073454/2235025,46625341008/3341362375) (18073454/2235025,-46625341008/3341362375) # # a-invariants: (0, 1, 0, 120, -396) # Cremona label: 816j2 # (3,0) (6,24) (54,-408) (6,-24) (54,408) (12,54) (20,-102) (12,-54) (20,102) (150,1848) (198/49,4488/343) (150,-1848) (198/49,-4488/343) (1389/4,51867/8) (1389/4,-51867/8) (31/9,226/27) (31/9,-226/27) (14262/529,1851720/12167) (39654/4225,-11138808/274625) (39654/4225,11138808/274625) (14262/529,-1851720/12167) (217596/5929,-106858926/456533) (217596/5929,106858926/456533) # # a-invariants: (0, 1, 1, 1, 6) # Cremona label: 817a1 # (4,-10) (4,9) (-3/4,15/8) (-3/4,-23/8) (0,2) (0,-3) (-2,0) (-2,-1) (2,-5) (2,4) (-2/9,-80/27) (-2/9,53/27) (42,275) (42,-276) (-31/16,25/64) (-31/16,-89/64) (13/4,-63/8) (13/4,55/8) (37/4,-243/8) (37/4,235/8) (9/16,-205/64) (9/16,141/64) (176/25,-2599/125) (176/25,2474/125) (-24/25,226/125) (-24/25,-351/125) (-200/121,-2898/1331) (-200/121,1567/1331) (84,774) (84,-775) (498,-11125) (498,11124) (-116/81,-1810/729) (-116/81,1081/729) (625/256,-24183/4096) (625/256,20087/4096) (358/441,21979/9261) (358/441,-31240/9261) (1564/961,99855/29791) (1564/961,-129646/29791) (842/169,26668/2197) (842/169,-28865/2197) (1441/1600,-220689/64000) (1441/1600,156689/64000) (-236/441,-27026/9261) (-236/441,17765/9261) (-2042/1369,-122293/50653) (-2042/1369,71640/50653) (1978/1681,188235/68921) (1978/1681,-257156/68921) (24973/1764,4060097/74088) (24973/1764,-4134185/74088) (8604/841,829830/24389) (8604/841,-854219/24389) (-31664/15625,-1151334/1953125) (-31664/15625,-801791/1953125) (11398/529,-1252520/12167) (11398/529,1240353/12167) (14425/576,1761533/13824) (14425/576,-1775357/13824) (-13243/7396,-1200475/636056) (-13243/7396,564419/636056) (73878/48841,34279240/10793861) (73878/48841,-45073101/10793861) (-24591/55696,25402065/13144256) (-24591/55696,-38546321/13144256) (1927084/152881,2761462935/59776471) (1927084/152881,-2821239406/59776471) (574222/104329,470066373/33698267) (574222/104329,-503764640/33698267) (41662333/171396,-269505607375/70957944) (41662333/171396,269434649431/70957944) (54097489/3701776,-416126384289/7122217024) (54097489/3701776,409004167265/7122217024) (-45222218/38900169,-656608009240/242620354053) (-45222218/38900169,413987655187/242620354053) (36010296/6682225,-251193870294/17273551625) (36010296/6682225,233920318669/17273551625) (2053730800/676988361,-128799411939962/17614560164859) (2053730800/676988361,111184851775103/17614560164859) # # a-invariants: (0, 1, 1, -16649, 821406) # Cremona label: 817b1 # (-2,-925) (-2,924) (84,-151) (84,150) (293/4,-133/8) (293/4,125/8) (3600/49,4451/343) (3600/49,-4794/343) (82,-120) (82,119) (1561/144,-1385765/1728) (1561/144,1384037/1728) (18058,-2426641) (18058,2426640) (-20424/1225,44836399/42875) (-20424/1225,-44879274/42875) (15117437/174724,13839097945/73034632) (15117437/174724,-13912132577/73034632) # # a-invariants: (1, -1, 0, -42, -73) # Cremona label: 819a1 # (-2,1) (14,-51) (-59/16,-179/64) (-59/16,415/64) (14,37) (64601/7744,4139449/681472) (64601/7744,-9824337/681472) # # a-invariants: (1, -1, 0, 93, -532) # Cremona label: 819a2 # (19/4,-19/8) (52,-404) (8,22) (52,352) (8,-30) (197/16,2719/64) (12127/484,1257265/10648) (12127/484,-1524059/10648) (197/16,-3507/64) (1333096/4761,1492030258/328509) (1333096/4761,-1584013882/328509) # # a-invariants: (1, -1, 1, -5, 4) # Cremona label: 819b1 # (1,-1) (2,-1) (-2,2) (2,-2) (-2,-1) (13/16,-109/64) (17,-77) (13/16,-7/64) (17,59) (-314/361,-18514/6859) (586/225,-13711/3375) (-314/361,17621/6859) (586/225,1546/3375) (85577/18496,13423663/2515456) (11593/67081,22106141/17373979) (85577/18496,-27577591/2515456) (11593/67081,-42482707/17373979) # # a-invariants: (1, -1, 1, 10, 16) # Cremona label: 819b2 # (-5/4,1/8) (4,-13) (4,8) (2,5) (2,-8) (67,-580) (-1,-2) (-1,2) (67,512) (70/9,499/27) (16/25,496/125) (16/25,-701/125) (70/9,-736/27) (-353/1156,127763/39304) (269/16,-4973/64) (269/16,3833/64) (-353/1156,-155065/39304) (30664/1681,4688032/68921) (30664/1681,-6014177/68921) (59671/81225,-133379374/23149125) (59671/81225,93224014/23149125) (4714284689/1240730176,-542292387404557/43703479719424) (4714284689/1240730176,332532943799797/43703479719424) # # a-invariants: (0, 0, 1, 9, -7) # Cremona label: 819c1 # # # a-invariants: (0, 0, 1, 22857, 4273542) # Cremona label: 819d1 # # # a-invariants: (0, 0, 1, -66, -207) # Cremona label: 819e1 # # # a-invariants: (0, 0, 1, 114, -1026) # Cremona label: 819e2 # (12,-46) (12,45) # # a-invariants: (0, 0, 1, -1056, 32553) # Cremona label: 819e3 # (3,171) (3,-172) # # a-invariants: (0, 0, 1, -237, -1607) # Cremona label: 819f1 # # # a-invariants: (1, 1, 0, -3, -9) # Cremona label: 822a1 # (3,3) (3,-6) (5,-14) (5,9) (219/4,3057/8) (219/4,-3495/8) (1189/529,3215/12167) (1189/529,-30562/12167) (28467713/2119936,-178041068087/3086626816) (28467713/2119936,136592077959/3086626816) # # a-invariants: (1, 0, 1, -18716, -987046) # Cremona label: 822b1 # (-79,39) # # a-invariants: (1, 0, 1, -18556, -1004710) # Cremona label: 822b2 # (631/4,-635/8) # # a-invariants: (1, 0, 1, -1122, 14548) # Cremona label: 822c1 # (14,-48) (14,33) # # a-invariants: (1, 0, 1, 4143, 72868) # Cremona label: 822c2 # # # a-invariants: (1, 0, 1, 31, 20) # Cremona label: 822d1 # (3,10) (3,-14) (0,4) (0,-5) (27,130) (27,-158) (12,40) (12,-53) (-5/9,38/27) (-5/9,-50/27) (93/16,1075/64) (93/16,-1511/64) (3051/25,161186/125) (3051/25,-176566/125) (1188/961,200245/29791) (1188/961,-266864/29791) (106888/1089,33265915/35937) (106888/1089,-36829156/35937) (7136814877140/2588658962761,39654940239081464809/4164973653614018491) (7136814877140/2588658962761,-55302556589787220640/4164973653614018491) # # a-invariants: (1, 0, 0, -47, 57) # Cremona label: 822e1 # (-2,-11) (6,-3) (-2,13) # # a-invariants: (1, 0, 0, -367, -2695) # Cremona label: 822e2 # (22,-11) (-49/4,49/8) (-10,5) # # a-invariants: (1, 0, 0, -5847, -172575) # Cremona label: 822e3 # (-177/4,177/8) # # a-invariants: (1, 0, 0, -7, -7663) # Cremona label: 822e4 # (79/4,-79/8) # # a-invariants: (1, 0, 0, -4, -4) # Cremona label: 822f1 # # # a-invariants: (0, -1, 1, -23, 53) # Cremona label: 825a1 # (1,5) (1,-6) (3,-2) (3,1) (37/4,-191/8) (37/4,183/8) (-41/9,163/27) (-41/9,-190/27) (2869/625,-83278/15625) (2869/625,67653/15625) (17049/4624,-858667/314432) (17049/4624,544235/314432) (-545123/247009,-1215552771/122763473) (-545123/247009,1092789298/122763473) # # a-invariants: (0, -1, 1, 127, 38) # Cremona label: 825a2 # (76,665) (76,-666) (18,88) (18,-89) (20077/3364,5989107/195112) (20077/3364,-6184219/195112) (33454/31329,70361747/5545233) (33454/31329,-75906980/5545233) # # a-invariants: (1, 0, 0, -163, -808) # Cremona label: 825b1 # (-8,4) (-7,5) (-7,2) (17,-46) (17,29) (56,380) (-487/64,673/512) (-487/64,3223/512) (56,-436) (9673/169,-990287/2197) (-3359/441,12305/9261) (9673/169,864538/2197) (-3359/441,58234/9261) (1249577/73984,563501101/20123648) (1249577/73984,-903386045/20123648) (-12881992/1841449,5065106372/2498846293) (-12881992/1841449,12415756772/2498846293) (19676726177/43681,-2762185238085059/9129329) (19676726177/43681,2758072802314066/9129329) # # a-invariants: (1, 0, 0, -288, 567) # Cremona label: 825b2 # (63/4,-63/8) (2,-1) (-18,9) (-9,54) (27,-126) (-9,-45) (-3,-36) (27,99) (-3,39) (57,-441) (57,384) (222,3189) (-243/16,-1989/64) (3/4,147/8) (18,27) (222,-3411) (-243/16,2961/64) (18,-45) (3/4,-153/8) (227,3299) (3033/169,58248/2197) (-747/49,-10548/343) (-747/49,15777/343) (7/9,-511/27) (3033/169,-97677/2197) (227,-3526) (7/9,490/27) (-4722/529,-547497/12167) (3609/64,193185/512) (-10638/3481,8055621/205379) (-4722/529,656103/12167) (31407/1156,-5012019/39304) (-10638/3481,-7427979/205379) (31407/1156,3944181/39304) (3609/64,-222057/512) (-432441/24025,31641642/3723875) (687987/43681,-75050829/9129329) (687987/43681,-68738454/9129329) (1801857,2417790759) (-432441/24025,35386713/3723875) (1801857,-2419592616) (4294354/74529,7952134835/20346417) (4294354/74529,-9124493477/20346417) (2437873123473/136237762816,1308887442222206193/50285903206436864) (2437873123473/136237762816,-2208716163588584385/50285903206436864) # # a-invariants: (1, 0, 0, -3663, 84942) # Cremona label: 825b3 # (143/4,-143/8) (33,-33) (-33,429) (-33,-396) (33,0) (42,54) (66,330) (42,-96) (66,-396) (11,-220) (253/9,1408/27) (11,209) (253/9,-2167/27) (3597/16,201531/64) (3597/16,-215919/64) (147/4,-9/8) (147/4,-285/8) (-1749/25,3861/125) (-1749/25,4884/125) (32637/961,-507936/29791) (32637/961,-503811/29791) (11258/49,-1196728/343) (11258/49,1117922/343) (55858/1521,-2094620/59319) (55858/1521,-83842/59319) (2216361/33856,-2421908319/6229504) (169462887/4024036,445452717039/8072216216) (169462887/4024036,-785395268361/8072216216) (2216361/33856,2014097895/6229504) (43289614434/24025,-9010260451035162/3723875) (43289614434/24025,9003550560797892/3723875) # # a-invariants: (1, 0, 0, 1087, 4692) # Cremona label: 825b4 # (-17/4,17/8) (97,964) (97,-1061) (7,-116) (7,109) (52,424) (16,-170) (16,154) (52,-476) (907,26884) (907,-27791) (-3,39) (-3,-36) (13/16,-4805/64) (883/4,25667/8) (13/16,4753/64) (883/4,-27433/8) (3547/121,-350821/1331) (10717/361,-1828124/6859) (10717/361,1624501/6859) (3547/121,311804/1331) (2032/9,89590/27) (2032/9,-95686/27) (5812/8281,55394704/753571) (5812/8281,-55923596/753571) (3228337/3721,5707116559/226981) (3228337/3721,-5904045116/226981) (9932623/611524,-82021845493/478211768) (11436529/222784,-49303815803/105154048) (9932623/611524,74254534307/478211768) (11436529/222784,43905774115/105154048) (28968657/4239481,944175093756/8729091379) (28968657/4239481,-1003821558519/8729091379) (-4459439696/1049436025,43383534105718/33996480029875) (-4459439696/1049436025,101080014846202/33996480029875) # # a-invariants: (0, 1, 1, -583, 5494) # Cremona label: 825c1 # (8,-38) (8,37) (-43/4,-829/8) (58,412) (-43/4,821/8) (14,-17) (58,-413) (14,16) (172/9,1099/27) (353/16,-4007/64) (-28,25) (-28,-26) (172/9,-1126/27) (353/16,3943/64) (2557/196,44465/2744) (2557/196,-47209/2744) (49382/529,-10705096/12167) (-9358/1849,7221484/79507) (-9358/1849,-7300991/79507) (49382/529,10692929/12167) (341936/289,-199993726/4913) (341936/289,199988813/4913) (1778633/179776,-2184061787/76225024) (1778633/179776,2107836763/76225024) # # a-invariants: (0, 1, 1, 3167, 11119) # Cremona label: 825c2 # (181/4,-3997/8) (181/4,3989/8) (-407/144,-81053/1728) (-407/144,79325/1728) (16359627397/191711716,2530930984412179/2654440419736) (16359627397/191711716,-2533585424831915/2654440419736) # # a-invariants: (1, 1, 0, 21, -49) # Cremona label: 826a1 # # # a-invariants: (1, 1, 0, -136, -672) # Cremona label: 826b1 # # # a-invariants: (0, 0, 1, -10, 12) # Cremona label: 827a1 # (2,-1) (2,0) (0,-4) (0,3) (1/4,-29/8) (1/4,21/8) (100/49,-372/343) (100/49,29/343) (702,-18600) (702,18599) (19649/10000,-67393/1000000) (19649/10000,-932607/1000000) (-34298/123201,-189172151/43243551) (-34298/123201,145928600/43243551) # # a-invariants: (0, 0, 0, -24, 45) # Cremona label: 828a1 # (3,0) # # a-invariants: (0, 0, 0, -39, -18) # Cremona label: 828a2 # (-6,0) # # a-invariants: (0, 0, 0, -216, -1215) # Cremona label: 828b1 # (-9,0) (18,-27) (18,27) (-8,-1) (-8,1) (-1494/169,-4185/2197) (-1494/169,4185/2197) (160,2015) (160,-2015) (145143/5041,45883908/357911) (145143/5041,-45883908/357911) (-58463/7056,-1436401/592704) (-58463/7056,1436401/592704) (167005264/4060225,1995469092287/8181353375) (167005264/4060225,-1995469092287/8181353375) # # a-invariants: (0, 0, 0, -351, 486) # Cremona label: 828b2 # (18,0) (-9,-54) (-9,54) (-5,46) (-5,-46) (19,26) (639,-16146) (639,16146) (19,-26) (-479/36,-11431/216) (-90/49,-11502/343) (-90/49,11502/343) (-479/36,11431/216) (537399/24025,230354982/3723875) (537399/24025,-230354982/3723875) (27067/169,-4422770/2197) (27067/169,4422770/2197) (1049540689/35569296,26681472088921/212135281344) (1049540689/35569296,-26681472088921/212135281344) # # a-invariants: (0, 0, 0, -9, -27) # Cremona label: 828c1 # (4,-1) (4,1) (1489/4,57455/8) (1489/4,-57455/8) # # a-invariants: (0, 0, 0, 15, -11) # Cremona label: 828d1 # # # a-invariants: (0, 0, 0, -165, 997) # Cremona label: 828d2 # (3,-23) (3,23) # # a-invariants: (0, 0, 1, -4, -3) # Cremona label: 829a1 # (-1,0) (-1,-1) (3,-4) (3,3) (-23/16,-43/64) (-23/16,-21/64) (235/49,3053/343) (235/49,-3396/343) (-4425/5041,-283199/357911) (-4425/5041,-74712/357911) (339233/7744,197031887/681472) (339233/7744,-197713359/681472) # # a-invariants: (1, 0, 1, 37, -62) # Cremona label: 830a1 # (4,-15) (4,10) # # a-invariants: (1, 0, 1, -838, -9512) # Cremona label: 830a2 # # # a-invariants: (1, 1, 1, -11185, 456015) # Cremona label: 830b1 # (63,-112) (63,48) (-97,-752) (-97,848) (53,-152) (53,98) (303,-5152) (303,4848) (727/9,-9104/27) (727/9,6896/27) (3,-652) (3,648) (23,448) (23,-472) (95,464) (95,-560) (183,2048) (183,-2232) (427/9,4396/27) (427/9,-5704/27) (-3153/49,-317136/343) (-3153/49,338864/343) (11207/169,161056/2197) (11207/169,-308944/2197) (3053,167098) (3053,-170152) (31887/529,-1266384/12167) (31887/529,520816/12167) (-9617/81,-217808/729) (-9617/81,303632/729) (909/16,-7575/64) (909/16,3875/64) (76103/121,20316848/1331) (76103/121,-21155312/1331) (-89787/3721,194228888/226981) (-89787/3721,-188978862/226981) (29225847/243049,104362645136/119823157) (29225847/243049,-118890810864/119823157) (10523507/82369,-26683558756/23639903) (10523507/82369,23639672344/23639903) (-11433705/373321,203665958640/228099131) (-11433705/373321,-196908064016/228099131) (1393199403/1819801,50631984770052/2454911549) (1393199403/1819801,-52513865676248/2454911549) # # a-invariants: (1, -1, 1, 3, 69) # Cremona label: 830c1 # (7,16) (7,-24) (-1,-8) (-1,8) (-3,6) (-3,-4) (3,-12) (3,8) (47,296) (47,-344) (19,72) (19,-92) (13/9,-268/27) (13/9,202/27) (-89/25,-24/125) (-89/25,344/125) (47/121,-12104/1331) (47/121,10256/1331) (189/16,2193/64) (189/16,-3013/64) (6903/49,547728/343) (6903/49,-596392/343) (7343/1681,-1039112/68921) (7343/1681,669128/68921) (-38741/19881,21579368/2803221) (-38741/19881,-18920108/2803221) (3454811/13225,-6611864104/1520875) (3454811/13225,6213039964/1520875) (505959/37810201,1817592643992/232494925949) (505959/37810201,-2053198711832/232494925949) # # a-invariants: (1, 0, 0, -68, 285) # Cremona label: 831a1 # (13,-47) (13,34) (4,-11) (4,7) (-5,-20) (-5,25) (-29/4,191/8) (-29/4,-133/8) (3,-12) (3,9) (244/25,-3607/125) (244/25,2387/125) (373,-7391) (373,7018) (1201/64,-43477/512) (1201/64,33869/512) (8245/1681,-767815/68921) (8245/1681,429770/68921) (-1196/441,-184183/9261) (-1196/441,209299/9261) (-258077/28561,-43323743/4826809) (-258077/28561,86938756/4826809) (245011/136900,614783131/50653000) (245011/136900,-705437201/50653000) # # a-invariants: (0, 1, 0, -1, 31) # Cremona label: 832a1 # (3,8) (3,-8) (-3,-4) (-3,4) (-5/9,-152/27) (-5/9,152/27) (45/4,-317/8) (45/4,317/8) (2187/121,-105176/1331) (2187/121,105176/1331) (397/3249,1029356/185193) (397/3249,-1029356/185193) (-614541/180625,197125448/76765625) (-614541/180625,-197125448/76765625) # # a-invariants: (0, -1, 0, -1, -31) # Cremona label: 832b1 # (5,8) (5,-8) (7,16) (7,-16) (133,1528) (133,-1528) (257/64,-1889/512) (257/64,1889/512) (44293/3969,-8744968/250047) (44293/3969,8744968/250047) # # a-invariants: (0, -1, 0, 31, 97) # Cremona label: 832c1 # (9,32) (9,-32) (-1,-8) (-1,8) (-31/25,-928/125) (-31/25,928/125) (129/16,1817/64) (129/16,-1817/64) (37201/9,7174304/27) (37201/9,-7174304/27) (211551/21025,111028376/3048625) (211551/21025,-111028376/3048625) (-10281511/13845841,440248900832/51520374361) (-10281511/13845841,-440248900832/51520374361) # # a-invariants: (0, -1, 0, -289, -3679) # Cremona label: 832c2 # (25,64) (25,-64) (95,904) (95,-904) (88481/1225,25258304/42875) (88481/1225,-25258304/42875) # # a-invariants: (0, -1, 0, -29409, -1931423) # Cremona label: 832c3 # (649,-15872) (649,15872) (203199/961,-33427208/29791) (203199/961,33427208/29791) # # a-invariants: (0, 0, 0, -16, -24) # Cremona label: 832d1 # (-2,0) # # a-invariants: (0, 0, 0, 4, -80) # Cremona label: 832d2 # (4,0) # # a-invariants: (0, -1, 0, -65, -191) # Cremona label: 832e1 # # # a-invariants: (0, 0, 0, -172, 1328) # Cremona label: 832f1 # # # a-invariants: (0, 0, 0, -13612, -670672) # Cremona label: 832f2 # # # a-invariants: (0, 1, 0, 31, -97) # Cremona label: 832g1 # # # a-invariants: (0, 1, 0, -289, 3679) # Cremona label: 832g2 # # # a-invariants: (0, 1, 0, -29409, 1931423) # Cremona label: 832g3 # # # a-invariants: (0, 0, 0, -16, 24) # Cremona label: 832h1 # (2,0) (6,-12) (6,12) (1,-3) (1,3) (-94/25,-696/125) (-94/25,696/125) (97/36,-145/216) (97/36,145/216) (43206/14161,3190788/1685159) (-6719/3721,-1556163/226981) (43206/14161,-3190788/1685159) (-6719/3721,1556163/226981) (39799681/3027600,240566484671/5268024000) (39799681/3027600,-240566484671/5268024000) # # a-invariants: (0, 0, 0, 4, 80) # Cremona label: 832h2 # (-4,0) (-2,8) (22,-104) (-2,-8) (22,104) (5,15) (16/9,-260/27) (5,-15) (16/9,260/27) (118/289,-44408/4913) (118/289,44408/4913) (382/49,8296/343) (382/49,-8296/343) (-2759/900,-168461/27000) (-2759/900,168461/27000) (43436/841,-9062040/24389) (43436/841,9062040/24389) (-39764395/52693081,3346630335945/382499074979) (-39764395/52693081,-3346630335945/382499074979) # # a-invariants: (0, 1, 0, -65, 191) # Cremona label: 832i1 # (-1,16) (-1,-16) (5,-4) (5,4) (55/9,208/27) (55/9,-208/27) (-19/4,-163/8) (-19/4,163/8) (2471/25,-123056/125) (2471/25,123056/125) (2389/1521,-578924/59319) (2389/1521,578924/59319) (660815/152881,-184079984/59776471) (660815/152881,184079984/59776471) # # a-invariants: (0, 0, 0, -172, -1328) # Cremona label: 832j1 # (42,256) (42,-256) (16,-4) (16,4) (6074/169,433408/2197) (6074/169,-433408/2197) (22073/4,-3279373/8) (22073/4,3279373/8) # # a-invariants: (0, 0, 0, -13612, 670672) # Cremona label: 832j2 # (42,416) (42,-416) (16,-676) (16,676) (1706,70304) (1706,-70304) (233/4,2197/8) (233/4,-2197/8) (-614/25,124384/125) (-614/25,-124384/125) (432,-8684) (432,8684) (634/9,6688/27) (634/9,-6688/27) (-1239/16,-71851/64) (-1239/16,71851/64) (483562/2401,-290533984/117649) (483562/2401,290533984/117649) (1114736/13225,531612484/1520875) (1114736/13225,-531612484/1520875) (-52782512/393129,-68831740972/246491883) (-52782512/393129,68831740972/246491883) # # a-invariants: (1, -1, 1, -34, -24) # Cremona label: 833a1 # (-5,2) # # a-invariants: (1, -1, 1, -279, 1838) # Cremona label: 833a2 # (9,-5) (-19,9) (43/4,-47/8) # # a-invariants: (1, -1, 1, -4444, 115126) # Cremona label: 833a3 # (155/4,-159/8) # # a-invariants: (1, -1, 1, -34, 4778) # Cremona label: 833a4 # (-69/4,65/8) # # a-invariants: (1, 0, 1, -11795, -233746) # Cremona label: 834a1 # (-97,48) # # a-invariants: (1, 0, 1, -93715, 10874606) # Cremona label: 834a2 # (159,-80) (-353,176) (775/4,-779/8) # # a-invariants: (1, 0, 1, -1493395, 702316526) # Cremona label: 834a3 # (2823/4,-2827/8) # # a-invariants: (1, 0, 1, -4755, 30694894) # Cremona label: 834a4 # (-1273/4,1269/8) # # a-invariants: (1, 0, 1, -60, -182) # Cremona label: 834b1 # # # a-invariants: (1, 0, 1, 0, 10) # Cremona label: 834c1 # (-1,3) (-1,-3) (2,3) (2,-6) (5,9) (5,-15) (-2,-1) (-2,2) (23,99) (23,-123) (5/16,-249/64) (5/16,165/64) (23/49,867/343) (23/49,-1371/343) (166/9,1894/27) (166/9,-2419/27) (-1291/625,-10623/15625) (-1291/625,27273/15625) (7706/1369,547266/50653) (7706/1369,-883041/50653) (26207/14641,-9920517/1771561) (26207/14641,4977909/1771561) (-28895/33856,18626315/6229504) (-28895/33856,-19539139/6229504) (2880863/1681,4830983979/68921) (2880863/1681,-4949168283/68921) # # a-invariants: (1, 1, 1, -8, 5) # Cremona label: 834d1 # (1,-1) # # a-invariants: (1, 1, 1, 2, 29) # Cremona label: 834d2 # (-13/4,9/8) # # a-invariants: (1, 1, 1, 2, -1) # Cremona label: 834e1 # (1,-3) (1,1) (3/4,-19/8) (3/4,5/8) (193,2593) (193,-2787) (3073/2304,167305/110592) (3073/2304,-425401/110592) # # a-invariants: (1, 1, 1, -1027, 12257) # Cremona label: 834f1 # (35,-162) (35,126) (19,-2) (19,-18) (17,0) (17,-18) (3,94) (3,-98) (-37,-18) (-37,54) (7,-78) (7,70) (851/49,-846/343) (851/49,-5454/343) (175/9,22/27) (175/9,-574/27) (1091/25,25974/125) (1091/25,-31554/125) (1795,75166) (1795,-76962) (3569/121,104058/1331) (3569/121,-144648/1331) (25563/1369,-193610/50653) (25563/1369,-802874/50653) (-1643/784,-2622647/21952) (-1643/784,2646699/21952) (320240779/15960025,320476811802/63760299875) (320240779/15960025,-1663599023782/63760299875) # # a-invariants: (1, 0, 0, -70, 356) # Cremona label: 834g1 # (8,-22) (-4,26) (8,14) (-4,-22) (4,10) (44,266) (-10,14) (20,74) (2,-16) (-10,-4) (44,-310) (2,14) (4,-14) (20,-94) (176,-2422) (284/49,-5242/343) (-68/9,686/27) (176,2246) (-68/9,-482/27) (47/4,-323/8) (-16/25,-2462/125) (47/4,229/8) (284/49,3254/343) (-16/25,2542/125) (-526/841,495184/24389) (-526/841,-479930/24389) (-7276/961,756086/29791) (10700/1849,-1213762/79507) (1990/169,-89012/2197) (10700/1849,753662/79507) (21092/121,-3177986/1331) (-7276/961,-530530/29791) (21092/121,2945974/1331) (1990/169,63142/2197) (269369/135424,-798139013/49836032) (269369/135424,699011221/49836032) (-1704568/170569,-287772794/70444997) (-1704568/170569,991759378/70444997) (2183714786/289,-102064066583762/4913) (2183714786/289,102026943432400/4913) # # a-invariants: (1, 0, 0, -1090, -40504) # Cremona label: 834g2 # (52,-236) (52,184) (7821151/44100,20604088469/9261000) (7821151/44100,-22246530179/9261000) (5368453162190452/30558242258401,370285698940799763064204/168924465850570066351) (5368453162190452/30558242258401,-399962244967183634388056/168924465850570066351) # # a-invariants: (0, -1, 0, -5, -47) # Cremona label: 836a1 # (8,19) (8,-19) (21/4,53/8) (21/4,-53/8) (9024/121,851029/1331) (9024/121,-851029/1331) (728657/44944,592777423/9528128) (728657/44944,-592777423/9528128) # # a-invariants: (0, -1, 0, 3, -10) # Cremona label: 836b1 # (2,0) # # a-invariants: (0, -1, 0, -52, -120) # Cremona label: 836b2 # (-3,0) # # a-invariants: (0, -1, 0, -316, -2060) # Cremona label: 840a1 # (-10,0) (54,-368) (54,368) (-159/16,23/64) (-159/16,-23/64) (707969/33856,-38793183/6229504) (-10329866/1046529,-27909856/1070599167) (707969/33856,38793183/6229504) (-10329866/1046529,27909856/1070599167) # # a-invariants: (0, -1, 0, -336, -1764) # Cremona label: 840a2 # (-6,0) (-14,0) (21,0) (26,80) (-7,-14) (-7,14) (-51/4,-135/8) (-51/4,135/8) (210,3024) (210,-3024) (26,-80) (865/16,-23529/64) (-9222/961,-655776/29791) (-10766/1089,-798560/35937) (-10766/1089,798560/35937) (-9222/961,655776/29791) (26229/529,-3866940/12167) (865/16,23529/64) (26229/529,3866940/12167) (745495004545/35431285824,-41358084845487137/6669301793223168) (745495004545/35431285824,41358084845487137/6669301793223168) # # a-invariants: (0, -1, 0, -1736, 26796) # Cremona label: 840a3 # (29,0) (33,66) (845/4,24057/8) (845/4,-24057/8) (33,-66) (27444797/508369,107221182948/362467097) (1013665/17424,-794453833/2299968) (27444797/508369,-107221182948/362467097) (1013665/17424,794453833/2299968) # # a-invariants: (0, -1, 0, 744, -11700) # Cremona label: 840a4 # (13,0) (77/4,775/8) (209,3038) (209,-3038) (77/4,-775/8) (26324653/576081,-148682302300/437245479) (775969/15376,742922103/1906624) (26324653/576081,148682302300/437245479) (775969/15376,-742922103/1906624) # # a-invariants: (0, -1, 0, 9, -84) # Cremona label: 840b1 # (11,-35) (4,0) (11,35) # # a-invariants: (0, -1, 0, -236, -1260) # Cremona label: 840b2 # (18,0) (-10,0) (-7,0) # # a-invariants: (0, -1, 0, -3736, -86660) # Cremona label: 840b3 # (-35,0) # # a-invariants: (0, -1, 0, -656, 4956) # Cremona label: 840b4 # (21,0) # # a-invariants: (0, -1, 0, -15, 12) # Cremona label: 840c1 # (-1,5) (-1,-5) (4,0) # # a-invariants: (0, -1, 0, -140, -588) # Cremona label: 840c2 # (-6,0) (-7,0) (14,0) # # a-invariants: (0, -1, 0, -2240, -40068) # Cremona label: 840c3 # (-27,0) # # a-invariants: (0, -1, 0, -40, -1508) # Cremona label: 840c4 # (13,0) # # a-invariants: (0, 1, 0, -27991, -1811530) # Cremona label: 840d1 # (-98,0) # # a-invariants: (0, 1, 0, -31116, -1385280) # Cremona label: 840d2 # (195,0) (-48,0) (-148,0) # # a-invariants: (0, 1, 0, -202616, 34012320) # Cremona label: 840d3 # (52,4860) (52,-4860) (295,0) # # a-invariants: (0, 1, 0, 90384, -9452880) # Cremona label: 840d4 # (95,0) # # a-invariants: (0, -1, 0, 9, 0) # Cremona label: 840e1 # (0,0) (9,-27) (1,3) (9,27) (1,-3) (81/16,783/64) (81/16,-783/64) (16/9,116/27) (16/9,-116/27) (4225/49,273195/343) (4225/49,-273195/343) (441/4225,-264789/274625) (441/4225,264789/274625) (4359744/223729,8976568824/105823817) (223729/484416,677828393/337153536) (4359744/223729,-8976568824/105823817) (223729/484416,-677828393/337153536) # # a-invariants: (0, -1, 0, -36, 36) # Cremona label: 840e2 # (6,0) (-6,0) (1,0) (8,-14) (-4,-10) (-4,10) (36,210) (8,14) (0,-6) (36,-210) (0,6) (-26/9,-280/27) (21,90) (-3/4,-63/8) (10,-24) (10,24) (-26/9,280/27) (-3/4,63/8) (21,-90) (-144/25,-546/125) (44/49,650/343) (1044/169,-7350/2197) (-144/25,546/125) (44/49,-650/343) (344,-6370) (1044/169,7350/2197) (344,6370) (985/144,-13717/1728) (-4199/841,-198660/24389) (9366/121,897840/1331) (9366/121,-897840/1331) (1002/1849,-321552/79507) (-4199/841,198660/24389) (985/144,13717/1728) (1002/1849,321552/79507) (1462644/104329,-1540660170/33698267) (1462644/104329,1540660170/33698267) (17872234/207025,74935354248/94196375) (17872234/207025,-74935354248/94196375) (2161984414945/108377907264,-2954751532340725583/35678874094566912) (2161984414945/108377907264,2954751532340725583/35678874094566912) # # a-invariants: (0, -1, 0, -336, -2244) # Cremona label: 840e3 # (-11,0) (38,-196) (-10,4) (-10,-4) (38,196) (-347/36,-539/216) (-347/36,539/216) (25,-66) (25,66) (-13306/1225,106028/42875) (-13306/1225,-106028/42875) (58166/169,-13987540/2197) (58166/169,13987540/2197) (-16251323/1555009,7952528892/1939096223) (-16251323/1555009,-7952528892/1939096223) (1363345/17424,-1533210193/2299968) (1363345/17424,1533210193/2299968) # # a-invariants: (0, -1, 0, -456, 3900) # Cremona label: 840e4 # (13,0) (14,8) (38,200) (14,-8) (38,-200) (217/9,2150/27) (217/9,-2150/27) (61/4,129/8) (61/4,-129/8) (8606/25,795704/125) (108278/8281,-1093000/753571) (8606/25,-795704/125) (108278/8281,1093000/753571) (7979293/101761,-21633003300/32461759) (7979293/101761,21633003300/32461759) (3563089/266256,-534955663/137388096) (3563089/266256,534955663/137388096) # # a-invariants: (0, -1, 0, -175, 952) # Cremona label: 840f1 # (8,0) (9,-5) (9,5) (17,-51) (24,100) (73/9,17/27) (73/9,-17/27) (129/16,25/64) (24,-100) (17,51) (129/16,-25/64) (15401/1600,522699/64000) (22408/2601,-409960/132651) (22408/2601,409960/132651) (163641/20449,-147035/2924207) (20841/49,-3003715/343) (15401/1600,-522699/64000) (20841/49,3003715/343) (163641/20449,147035/2924207) (599380393/15468489,13718602876753/60837567237) (1329594129/100080016,28237078022575/1001200480064) (1329594129/100080016,-28237078022575/1001200480064) (599380393/15468489,-13718602876753/60837567237) # # a-invariants: (0, -1, 0, -180, 900) # Cremona label: 840f2 # (20,70) (10,0) (20,-70) (0,30) (6,0) (0,-30) (-15,0) (90,840) (12,-18) (40/9,-350/27) (60,-450) (45/4,-105/8) (5,10) (45/4,105/8) (-10,-40) (-8,42) (5,-10) (40/9,350/27) (12,18) (60,450) (90,-840) (-10,40) (-8,-42) (390/289,-126000/4913) (720/121,2730/1331) (-39/25,4284/125) (1700/169,5390/2197) (720/121,-2730/1331) (385/16,6375/64) (154/9,-1360/27) (1700/169,-5390/2197) (385/16,-6375/64) (390/289,126000/4913) (154/9,1360/27) (-39/25,-4284/125) (1700,70070) (-720/49,4290/343) (-720/49,-4290/343) (1700,-70070) (-346040/29241,175562450/5000211) (-346040/29241,-175562450/5000211) (79788/529,22376034/12167) (289845/6724,147308595/551368) (289845/6724,-147308595/551368) (-22195/3721,-9429590/226981) (-22195/3721,9429590/226981) (79788/529,-22376034/12167) (426180010/1002001,-8783433996000/1003003001) (426180010/1002001,8783433996000/1003003001) (42618001/4161600,43099105049/8489664000) (42618001/4161600,-43099105049/8489664000) # # a-invariants: (0, -1, 0, -680, -5700) # Cremona label: 840f3 # (-19,0) (30,0) (-10,0) (365/4,6615/8) (365/4,-6615/8) (-122/9,784/27) (-15,30) (-15,-30) (62,-432) (62,432) (-122/9,-784/27) (-73771/7225,5297292/614125) (4489/144,85085/1728) (-111130/5929,4773600/456533) (-73771/7225,-5297292/614125) (287310/169,-153938400/2197) (-111130/5929,-4773600/456533) (4489/144,-85085/1728) (287310/169,153938400/2197) (1774594735620001/4169927361600,-74525174860512782747951/8515158469481664000) (1774594735620001/4169927361600,74525174860512782747951/8515158469481664000) # # a-invariants: (0, -1, 0, 240, 4092) # Cremona label: 840f4 # (-11,0) (14,100) (14,-100) (526/9,12500/27) (89,-850) (-19/4,425/8) (-2,60) (89,850) (-19/4,-425/8) (526/9,-12500/27) (-2,-60) (89761/4624,39384375/314432) (2149/225,-285668/3375) (2149/225,285668/3375) (205694/121,93265900/1331) (89761/4624,-39384375/314432) (205694/121,-93265900/1331) (-88066/8281,11273900/753571) (-88066/8281,-11273900/753571) # # a-invariants: (0, -1, 0, -10480, -409460) # Cremona label: 840f5 # (-59,0) (493/4,3159/8) (493/4,-3159/8) (-527/9,-26/27) (-527/9,26/27) (41401201/24336,-265818623455/3796416) (-2525413259/42837025,513198491364/280368328625) (-2525413259/42837025,-513198491364/280368328625) (41401201/24336,265818623455/3796416) # # a-invariants: (0, -1, 0, 1120, -32340) # Cremona label: 840f6 # (21,0) (57,462) (57,-462) (3157/36,-184877/216) (3157/36,184877/216) (2075557701/1221025,94549058050524/1349232625) (19150321/853776,47092891105/788889024) (19150321/853776,-47092891105/788889024) (2075557701/1221025,-94549058050524/1349232625) # # a-invariants: (0, -1, 0, -735, 7920) # Cremona label: 840g1 # (16,0) (17,-7) (17,7) # # a-invariants: (0, -1, 0, -740, 7812) # Cremona label: 840g2 # (32,-126) (18,0) (-31,0) (14,0) (4,70) (32,126) (4,-70) # # a-invariants: (0, -1, 0, -1720, -16100) # Cremona label: 840g3 # (-35,0) (46,0) (-10,0) # # a-invariants: (0, -1, 0, 160, 24732) # Cremona label: 840g4 # (22,-196) (22,196) (-27,0) # # a-invariants: (0, -1, 0, -24400, -1458548) # Cremona label: 840g5 # (-91,0) # # a-invariants: (0, -1, 0, 5280, -119700) # Cremona label: 840g6 # (21,0) # # a-invariants: (0, 1, 0, -71, -246) # Cremona label: 840h1 # (-6,0) (-5,-3) (19,-75) (-5,3) (19,75) (-71/16,75/64) (10,12) (10,-12) (-71/16,-75/64) (571/9,13625/27) (-141/25,327/125) (-141/25,-327/125) (571/9,-13625/27) (5545/64,413259/512) (-33974/5929,-1073400/456533) (5545/64,-413259/512) (-33974/5929,1073400/456533) (-685925/152881,-91946517/59776471) (2433859/231361,1868559675/111284641) (2433859/231361,-1868559675/111284641) (-685925/152881,91946517/59776471) (-295593279/60403984,-1344685680375/469459763648) (-295593279/60403984,1344685680375/469459763648) # # a-invariants: (0, 1, 0, -196, 704) # Cremona label: 840h2 # (4,0) (11,0) (-16,0) (74,630) (14,30) (-10,42) (14,-30) (-10,-42) (74,-630) (2,18) (2,-18) (20,-72) (-19/4,-315/8) (32,168) (-1,30) (-19/4,315/8) (20,72) (32,-168) (-1,-30) (-14,30) (86/25,-1134/125) (86/25,1134/125) (-14,-30) (254,-4050) (106/9,350/27) (106/9,-350/27) (254,4050) (347,-6468) (347,6468) (185/16,-693/64) (-1756/121,35280/1331) (185/16,693/64) (176/49,2640/343) (176/49,-2640/343) (-1756/121,-35280/1331) (25706/1369,-3202290/50653) (25706/1369,3202290/50653) (-1582/289,199134/4913) (-1582/289,-199134/4913) (-250/529,-343434/12167) (5966/169,434010/2197) (5966/169,-434010/2197) (-250/529,343434/12167) (-41449/4489,12802050/300763) (14356/225,1694296/3375) (-41449/4489,-12802050/300763) (5581/3364,3834075/195112) (5581/3364,-3834075/195112) (14356/225,-1694296/3375) (11713514/961,-40091132970/29791) (-2079370/130321,-229515258/47045881) (11713514/961,40091132970/29791) (-2079370/130321,229515258/47045881) (32978705/379456,188116790247/233744896) (32978705/379456,-188116790247/233744896) (425618710100/35370701041,101463668088861528/6652203115481911) (425618710100/35370701041,-101463668088861528/6652203115481911) # # a-invariants: (0, 1, 0, -2896, 59024) # Cremona label: 840h3 # (31,0) (32,12) (32,-12) (80,588) (80,-588) (173/4,-1029/8) (35,-42) (173/4,1029/8) (35,42) (256,-4020) (7024/225,-13132/3375) (256,4020) (7024/225,13132/3375) (24425/784,68739/21952) (42167/121,8573628/1331) (24425/784,-68739/21952) (42167/121,-8573628/1331) (2238272/48841,1694793732/10793861) (2238272/48841,-1694793732/10793861) (24843440/724201,21566300028/616295051) (24843440/724201,-21566300028/616295051) (71278459/1010025,466374629098/1015075125) (71278459/1010025,-466374629098/1015075125) (1526522399120/125238481,1886115833372745492/1401543840871) (1526522399120/125238481,-1886115833372745492/1401543840871) # # a-invariants: (0, 1, 0, 504, 5184) # Cremona label: 840h4 # (-9,0) (0,72) (0,-72) (72,648) (72,-648) (45/4,-891/8) (27,-198) (27,198) (45/4,891/8) (-56/9,-1160/27) (-56/9,1160/27) (6336/25,507384/125) (6336/25,-507384/125) (16983/49,2221164/343) (-13455/1936,-3180303/85184) (-13455/1936,3180303/85184) (16983/49,-2221164/343) (3680712/395641,25819585272/248858189) (3680712/395641,-25819585272/248858189) (2756160/89401,6035124168/26730899) (2756160/89401,-6035124168/26730899) (46521709/756900,343517484277/658503000) (46521709/756900,-343517484277/658503000) # # a-invariants: (0, 1, 0, -36, -96) # Cremona label: 840i1 # (-4,0) # # a-invariants: (0, 1, 0, -56, 0) # Cremona label: 840i2 # (7,0) (0,0) (-8,0) # # a-invariants: (0, 1, 0, -656, 6240) # Cremona label: 840i3 # (15,0) # # a-invariants: (0, 1, 0, 224, 224) # Cremona label: 840i4 # (-1,0) # # a-invariants: (0, 1, 0, -15, 90) # Cremona label: 840j1 # (3,9) (-6,0) (3,-9) # # a-invariants: (0, 1, 0, -420, 3168) # Cremona label: 840j2 # (-24,0) (11,0) (18,-42) (6,30) (12,0) (18,42) (6,-30) # # a-invariants: (0, 1, 0, -600, 0) # Cremona label: 840j3 # (0,0) (24,0) (-25,0) # # a-invariants: (0, 1, 0, -6720, 209808) # Cremona label: 840j4 # (48,12) (47,0) (48,-12) # # a-invariants: (0, 1, 0, -6480, -202272) # Cremona label: 840j5 # (-49,0) # # a-invariants: (0, 1, 0, 2400, 2400) # Cremona label: 840j6 # (-1,0) # # a-invariants: (1, 0, 1, -10, -12) # Cremona label: 842a1 # (-2,1) (-2,0) (6,9) (6,-16) (-103/64,87/512) (-103/64,225/512) (2646/625,-124144/15625) (2646/625,42369/15625) (111383521/1218816,1114297168201/1345572864) (111383521/1218816,-1238610148249/1345572864) # # a-invariants: (1, 0, 0, -59, 145) # Cremona label: 842b1 # (-2,17) (-2,-15) (6,1) (6,-7) (2,-7) (2,5) (30,-175) (30,145) (-8,-7) (-8,15) (94/9,571/27) (94/9,-853/27) (142/49,-265/343) (142/49,-729/343) (216/25,-2701/125) (216/25,1621/125) (-2482/361,129275/6859) (-2482/361,-82117/6859) (6066/121,-501697/1331) (6066/121,434971/1331) (-32327/43264,127013541/8998912) (-32327/43264,-120289525/8998912) (23326734/41209,-115045108669/8365427) (23326734/41209,110309781667/8365427) # # a-invariants: (1, 1, 0, 5, 4) # Cremona label: 843a1 # (0,2) (0,-2) (5/16,143/64) (5/16,-163/64) (4896/25,331454/125) (4896/25,-355934/125) (-391055/1498176,-2808414163/1833767424) (-391055/1498176,3287065483/1833767424) # # a-invariants: (1, 0, 1, -173, 171) # Cremona label: 845a1 # (1,-1) # # a-invariants: (1, 0, 1, 672, 1523) # Cremona label: 845a2 # (-9/4,5/8) # # a-invariants: (1, -1, 0, -135, -707) # Cremona label: 846a1 # (14,-7) # # a-invariants: (1, -1, 0, -2295, -41747) # Cremona label: 846a2 # (-109/4,109/8) # # a-invariants: (1, -1, 0, 3, 17) # Cremona label: 846b1 # (-2,1) (1,4) (4,7) (1,-5) (4,-11) (-1,4) (16,-71) (16,55) (-1,-3) (-26/25,497/125) (67/4,473/8) (-26/25,-367/125) (67/4,-607/8) (304/289,19655/4913) (191/49,2332/343) (304/289,-24823/4913) (191/49,-3669/343) (30244,-5274731) (-10079/5041,394844/357911) (30244,5244487) (-10079/5041,320765/357911) (236449/57600,-156461287/13824000) (236449/57600,99713527/13824000) # # a-invariants: (1, -1, 0, -87, 323) # Cremona label: 846b2 # (19/4,-19/8) (-7,27) (7,1) (-7,-20) (7,-8) (17,51) (127/49,-4040/343) (17,-68) (127/49,3151/343) (1561/576,-158087/13824) (1561/576,120623/13824) (1771/100,55189/1000) (1771/100,-72899/1000) (98417/14161,1257668/1685159) (98417/14161,-12969291/1685159) (152460007/5041,1877059549511/357911) (152460007/5041,-1887884210008/357911) # # a-invariants: (1, -1, 0, 522, 2164) # Cremona label: 846c1 # (-4,2) (188,-2686) (188,2498) (-1,41) (-1,-40) (45,317) (380/49,-29266/343) (45,-362) (380/49,26606/343) (52883/2116,-18173821/97336) (324476/20449,-372311330/2924207) (52883/2116,15741203/97336) (324476/20449,325911262/2924207) (-1270025831829455/370962391827456,-117161436908785847303623/7144878116155264303104) (-1270025831829455/370962391827456,141622622119740573114343/7144878116155264303104) # # a-invariants: (1, -1, 0, -2358, 20020) # Cremona label: 846c2 # (35/4,-35/8) (44,-22) (-52,26) (3284/49,-148546/343) (-28,-238) (-3,-163) (191,2456) (-28,266) (3284/49,125558/343) (-3,166) (191,-2647) (193316/625,81450914/15625) (2781/49,-98246/343) (193316/625,-86283814/15625) (2781/49,78779/343) (1941076019/43270084,9221979159037/284630612552) (-433408127/8573184,2894932341607/25102282752) (-433408127/8573184,-1625913345751/25102282752) (1941076019/43270084,-21990377212019/284630612552) # # a-invariants: (1, -1, 0, -19278, -1012100) # Cremona label: 846c3 # (-349/4,349/8) (10487/49,701408/343) (10487/49,-774817/343) (-75,-50) (-75,125) (9863109/30625,-28246520077/5359375) (9863109/30625,26520476002/5359375) # # a-invariants: (1, -1, 0, -31518, 2160364) # Cremona label: 846c4 # (419/4,-419/8) (93,-211) (-1,-1480) (93,118) (-1,1481) (5685/49,-100526/343) (5685/49,60731/343) (215,-2407) (215,2192) (1498187/14884,-73516811/1815848) (1498187/14884,-109262003/1815848) (-114551/576,-8720095/13824) (-114551/576,11469319/13824) # # a-invariants: (0, 1, 1, -10809, -436166) # Cremona label: 847a1 # # # a-invariants: (0, 1, 1, -5969, -822761) # Cremona label: 847a2 # # # a-invariants: (0, 1, 1, 53321, 21262764) # Cremona label: 847a3 # # # a-invariants: (0, 0, 1, 242, -333) # Cremona label: 847b1 # (55,-424) (55,423) (11,-61) (11,60) (33/16,-879/64) (33/16,815/64) (3,20) (3,-21) (2519/169,177195/2197) (2519/169,-179392/2197) (5665/64,432561/512) (5665/64,-433073/512) (290191/225,156333761/3375) (290191/225,-156337136/3375) (62275/1681,-16842749/68921) (62275/1681,16773828/68921) # # a-invariants: (1, 1, 1, 421, -12440) # Cremona label: 847c1 # (17,-9) (116,1212) (274/9,-5083/27) (274/9,4234/27) (116,-1329) (253/9,3667/27) (13679/100,1552263/1000) (253/9,-4453/27) (13679/100,-1690053/1000) (1546426/81,1916168678/729) (1546426/81,-1930087241/729) (401121529/12110400,-9066321595127/42144192000) (401121529/12110400,7628274482207/42144192000) # # a-invariants: (1, 1, 1, -6234, -177484) # Cremona label: 847c2 # (-141/4,137/8) (138,-1340) (138,1201) (-452/9,3629/27) (-452/9,-2300/27) (-51,-80) (1165/9,27884/27) (1165/9,-31406/27) (-51,130) (-2858/81,5660/729) (-2858/81,19333/729) (76368,21066091) (76368,-21142460) (133111/900,37701101/27000) (133111/900,-41721431/27000) (-664899/13456,-139743271/1560896) (-664899/13456,215310659/1560896) (197791032/1620529,-2082418904213/2062933417) (197791032/1620529,1828567987060/2062933417) # # a-invariants: (0, 1, 0, -120, -556) # Cremona label: 848a1 # # # a-invariants: (0, -1, 0, -4528, 150464) # Cremona label: 848b1 # # # a-invariants: (0, -1, 0, -393648, 95194048) # Cremona label: 848b2 # # # a-invariants: (0, -1, 0, 16, -64) # Cremona label: 848c1 # # # a-invariants: (0, -1, 0, -144, 1856) # Cremona label: 848c2 # # # a-invariants: (0, 1, 0, -12, 40) # Cremona label: 848d1 # (-5,0) # # a-invariants: (0, 1, 0, -17, 22) # Cremona label: 848d2 # (2,0) # # a-invariants: (0, 0, 0, 5, -22) # Cremona label: 848e1 # # # a-invariants: (0, 1, 0, -4, -8) # Cremona label: 848f1 # (3,-4) (3,4) (393/64,-7877/512) (393/64,7877/512) (1129459/40401,1218385196/8120601) (1129459/40401,-1218385196/8120601) # # a-invariants: (0, 1, 0, -440, 3412) # Cremona label: 848g1 # (6,32) (6,-32) (12,-2) (12,2) (118/9,224/27) (118/9,-224/27) (-9,82) (-9,-82) (1494/25,-55072/125) (1494/25,55072/125) (4636/441,-71002/9261) (4636/441,71002/9261) (503457/26896,-201410393/4410944) (503457/26896,201410393/4410944) # # a-invariants: (1, 1, 1, 5, -4) # Cremona label: 849a1 # (2,-6) (2,3) (1,-3) (1,1) (38,-258) (38,219) (69/16,541/64) (69/16,-881/64) (830/1369,-66849/50653) (830/1369,-14514/50653) (25561/2809,-5226283/148877) (25561/2809,3722673/148877) (3294218/290521,5446913046/156590819) (3294218/290521,-7379087367/156590819) # # a-invariants: (1, 1, 0, 9975, -114875) # Cremona label: 850a1 # # # a-invariants: (1, 1, 0, -166025, -26946875) # Cremona label: 850a2 # # # a-invariants: (1, 1, 0, -75, 125) # Cremona label: 850b1 # (-10,5) # # a-invariants: (1, 1, 0, -1075, 13125) # Cremona label: 850b2 # (75/4,-75/8) # # a-invariants: (1, 1, 0, -2575, -51375) # Cremona label: 850b3 # (-30,15) # # a-invariants: (1, 1, 0, -2825, -41125) # Cremona label: 850b4 # (235/4,-235/8) # # a-invariants: (1, 0, 1, -451, 4798) # Cremona label: 850c1 # (2,-64) (2,61) (8,37) (8,-46) (10447/36,-1096949/216) (10447/36,1034051/216) # # a-invariants: (1, 0, 1, 33924, -387702) # Cremona label: 850d1 # (21,567) (21,-589) (888,-27466) (888,26577) (937/9,-57247/27) (937/9,54409/27) (23706/121,-5073399/1331) (23706/121,4811302/1331) # # a-invariants: (1, -1, 0, 8, 16) # Cremona label: 850e1 # (4,-12) (4,8) (-1,-2) (-1,3) (0,-4) (0,4) (9,-32) (9,23) (44,-312) (44,268) (7/4,-53/8) (7/4,39/8) (-116/81,712/729) (-116/81,332/729) (169/121,-8027/1331) (169/121,6168/1331) (1472/49,-61188/343) (1472/49,50884/343) (9279/841,763582/24389) (9279/841,-1032673/24389) (7524/28561,19884532/4826809) (7524/28561,-21156088/4826809) (-38815/33856,16541949/6229504) (-38815/33856,-9399989/6229504) (28701439/29241,-156160153207/5000211) (28701439/29241,151252207138/5000211) # # a-invariants: (1, 1, 1, 1357, -2559) # Cremona label: 850f1 # # # a-invariants: (1, 1, 1, -188, 781) # Cremona label: 850g1 # (5,-3) # # a-invariants: (1, 1, 1, 312, 4781) # Cremona label: 850g2 # (-45/4,41/8) # # a-invariants: (1, 1, 1, -63838, 6181531) # Cremona label: 850h1 # (145,-73) # # a-invariants: (1, 1, 1, -61838, 6589531) # Cremona label: 850h2 # (-1165/4,1161/8) # # a-invariants: (1, 1, 1, -104213, -2590469) # Cremona label: 850h3 # (-25,12) # # a-invariants: (1, 1, 1, 407787, -19998469) # Cremona label: 850h4 # (195/4,-199/8) # # a-invariants: (1, -1, 1, 195, 2197) # Cremona label: 850i1 # # # a-invariants: (1, -1, 1, -255, -1503) # Cremona label: 850j1 # # # a-invariants: (1, 1, 1, -63, 781) # Cremona label: 850k1 # (25,-138) (25,112) (5,22) (5,-28) (-25/4,-229/8) (-25/4,271/8) (-11,22) (-11,-12) (25/81,19648/729) (25/81,-20602/729) (745/64,18489/512) (745/64,-24961/512) (43025/361,-9365792/6859) (43025/361,8541458/6859) (24629/289,-4091116/4913) (24629/289,3667510/4913) (-1320395/2099601,-87725892122/3042321849) (-1320395/2099601,86596822628/3042321849) # # a-invariants: (1, 1, 1, 562, -20469) # Cremona label: 850k2 # (225,3287) (225,-3513) (55,397) (55,-453) (25,-113) (25,87) (21,23) (21,-45) (325/9,5449/27) (325/9,-6451/27) (105,-1153) (105,1047) (1075,34737) (1075,-35813) (769,-21737) (769,20967) (375/4,7071/8) (375/4,-7829/8) (14905/441,1657867/9261) (14905/441,-1980133/9261) (19875/961,-1018683/29791) (19875/961,372767/29791) (3169/121,-170347/1331) (3169/121,134157/1331) (2624425/81,-4263482177/729) (2624425/81,4239861623/729) # # a-invariants: (1, 1, 1, -18, 31) # Cremona label: 850l1 # (5,-13) (5,7) (1,3) (1,-5) (-5,-3) (-5,7) (-1,7) (-1,-7) (25/9,-151/27) (25/9,49/27) (29,-173) (29,143) (55/4,-469/8) (55/4,351/8) (109/49,505/343) (109/49,-1611/343) (-655/289,42931/4913) (-655/289,-36709/4913) (-881/225,-20983/3375) (-881/225,30823/3375) (5555/3481,401173/205379) (5555/3481,-934297/205379) (536845/3721,378395167/226981) (536845/3721,-411369693/226981) (400121/107584,125197511/35287552) (400121/107584,-291724751/35287552) (-75102319/13712209,86057857661/50776309927) (-75102319/13712209,141269719669/50776309927) # # a-invariants: (0, 1, 1, -28, 48) # Cremona label: 851a1 # (6,-12) (6,11) (3,-1) (3,0) (31/9,44/27) (31/9,-71/27) (18,-76) (18,75) (441/16,9237/64) (441/16,-9301/64) (826/225,8101/3375) (826/225,-11476/3375) (11337406/23409,-38213165836/3581577) (11337406/23409,38209584259/3581577) (75524433/10394176,545196553351/33510823424) (75524433/10394176,-578707376775/33510823424) # # a-invariants: (1, 0, 1, -722, 7396) # Cremona label: 854a1 # (13,9) (13,-23) (16,-5) (16,-12) (-107/9,-3085/27) (-107/9,3379/27) (1390/49,29191/343) (1390/49,-39264/343) # # a-invariants: (1, 0, 1, -2706, 53940) # Cremona label: 854b1 # (30,-15) (30,-16) (741/25,-1551/125) (2425/81,-11215/729) (741/25,-2279/125) (-15,-295) (2425/81,-11339/729) (-15,309) (24800871/828100,-11670319149/753571000) (2472640/77841,22714876/21717639) (2472640/77841,-734299075/21717639) (24800871/828100,-11652044461/753571000) # # a-invariants: (1, 0, 1, -2801, 49924) # Cremona label: 854b2 # (52,187) (52,-240) (-53,-198) (163/9,-2210/27) (19/25,27218/125) (-53,250) (19/25,-27438/125) (163/9,1694/27) (1078/9,-33991/27) (1078/9,30730/27) (3919/100,-47423/1000) (262,-4293) (262,4030) (3919/100,7233/1000) (-31229/2025,27919234/91125) (-31229/2025,-26605054/91125) (102033172/1413721,-858928182320/1680914269) (102033172/1413721,735929826543/1680914269) (1701215449/1638400,-71176640764003/2097152000) (1701215449/1638400,68996987837283/2097152000) # # a-invariants: (1, 0, 1, -56176, -5122754) # Cremona label: 854b3 # (-31079/225,493549/3375) (-31079/225,-30739/3375) (285271/900,76445291/27000) (285271/900,-85030421/27000) # # a-invariants: (1, 1, 1, -13, 3) # Cremona label: 854c1 # (-1,-4) (-1,4) (3,-4) (3,0) (-3,-4) (-3,6) (23,100) (23,-124) (1/9,22/27) (1/9,-52/27) (131/25,-1736/125) (131/25,956/125) (-729/169,4532/2197) (-729/169,2748/2197) (1143/196,26529/2744) (1143/196,-45275/2744) (225403/12321,95492936/1367631) (225403/12321,-121880300/1367631) # # a-invariants: (1, 1, 1, -399, 1237) # Cremona label: 854d1 # (-19,58) (-19,-40) (79,-726) (79,646) (-5,-54) (-5,58) (23,-82) (23,58) (25/9,-394/27) (25/9,292/27) (71/4,-173/8) (71/4,23/8) (1,-30) (1,28) (799/25,-20778/125) (799/25,16658/125) (-1741/169,-135214/2197) (-1741/169,155650/2197) (1831/9,-80978/27) (1831/9,75458/27) (-2635/121,-4072/1331) (-2635/121,31726/1331) (34897/64,6382301/512) (34897/64,-6661989/512) (-62555/4489,21729598/300763) (-62555/4489,-17839176/300763) (35879/841,-6710126/24389) (35879/841,5645246/24389) (-131501/149769,2305764190/57960603) (-131501/149769,-2312833906/57960603) (37964551/1898884,-137283623073/2616662152) (37964551/1898884,82351809643/2616662152) # # a-invariants: (1, -1, 1, 202, 4956) # Cremona label: 855a1 # (-13,6) # # a-invariants: (1, -1, 1, -3443, 73482) # Cremona label: 855a2 # (-67,33) (41,-21) (107/4,-111/8) # # a-invariants: (1, -1, 1, -11138, -363594) # Cremona label: 855a3 # (-325/4,321/8) # # a-invariants: (1, -1, 1, -54068, 4852482) # Cremona label: 855a4 # (539/4,-543/8) # # a-invariants: (1, -1, 1, 13, 474) # Cremona label: 855b1 # (-7,3) (12,-54) (2,-24) (12,41) (2,21) (-3,-19) (143/4,1563/8) (-3,21) (143/4,-1857/8) (74,597) (-44/9,499/27) (74,-672) (-44/9,-394/27) (4217/961,-812139/29791) (513/64,-18893/512) (513/64,14277/512) (4217/961,651621/29791) (-38902/5929,-2575047/456533) (110628/289,35818738/4913) (110628/289,-37704327/4913) (-38902/5929,5113968/456533) (-129049/504100,-7898476431/357911000) (364933/19881,-255796247/2803221) (-129049/504100,7632190221/357911000) (364933/19881,201537473/2803221) (16592187785274957/173100307384081,2020737469961372222146059/2277439027078274153479) (16592187785274957/173100307384081,-2241314324962056854283901/2277439027078274153479) # # a-invariants: (1, -1, 1, -842, 9366) # Cremona label: 855b2 # (59/4,-63/8) (-4,114) (26,-81) (26,54) (-4,-111) (-19,144) (-19,-126) (21,-36) (21,14) (296,4914) (14,-21) (296,-5211) (14,6) (159/4,-1713/8) (101/16,-4419/64) (159/4,1387/8) (101/16,3951/64) (2336/121,-21546/1331) (-1546/49,26277/343) (2336/121,-5481/1331) (-1546/49,-15798/343) (24989/2209,2955222/103823) (685/9,15644/27) (685/9,-17726/27) (24989/2209,-4233528/103823) (144146/1681,48688479/68921) (144146/1681,-54667386/68921) (1193409/61504,-36248037/15252992) (1193409/61504,-274970387/15252992) (1671764/312481,-12901065906/174676879) (1671764/312481,11791872951/174676879) (1432253381/101022601,4084170396894/1015378162651) (656665101/1713481,16333055869556/2242946629) (1432253381/101022601,-19495127291976/1015378162651) (656665101/1713481,-17194873433394/2242946629) (251551186831/10022012100,46981392605525749/1003303631331000) (251551186831/10022012100,-73167485550508159/1003303631331000) # # a-invariants: (1, -1, 0, 171, 0) # Cremona label: 855c1 # (0,0) # # a-invariants: (1, -1, 0, -684, 513) # Cremona label: 855c2 # (3/4,-3/8) # # a-invariants: (0, 1, 0, -3, 2) # Cremona label: 856a1 # (1,-1) (1,1) (-2,-2) (-2,2) (1/9,35/27) (1/9,-35/27) (73/16,-653/64) (73/16,653/64) (1201/361,-43331/6859) (1201/361,43331/6859) (-1154/11025,-1764694/1157625) (-1154/11025,1764694/1157625) (8652660241/50936769,-807191688641905/363535720353) (8652660241/50936769,807191688641905/363535720353) # # a-invariants: (0, 1, 0, 0, -16) # Cremona label: 856b1 # (4,-8) (4,8) (13/4,43/8) (13/4,-43/8) (2788/9,-147448/27) (2788/9,147448/27) (151441/29584,-61134431/5088448) (151441/29584,61134431/5088448) # # a-invariants: (0, -1, 0, -28, 68) # Cremona label: 856c1 # (4,2) (4,-2) (2,4) (2,-4) (-4,-10) (-4,10) (13/4,-7/8) (13/4,7/8) (76/9,-514/27) (76/9,514/27) (274/25,-3868/125) (274/25,3868/125) (2804/841,18758/24389) (2804/841,-18758/24389) (-2287/784,-236783/21952) (-2287/784,236783/21952) (53524/34969,-33590090/6539203) (53524/34969,33590090/6539203) # # a-invariants: (0, -1, 0, -432, -3316) # Cremona label: 856d1 # (137,-1578) (137,1578) # # a-invariants: (1, 1, 0, 6, -108) # Cremona label: 858a1 # (4,-2) # # a-invariants: (1, 1, 0, -314, -2220) # Cremona label: 858a2 # (20,-10) (-12,6) (-37/4,37/8) # # a-invariants: (1, 1, 0, -4994, -137940) # Cremona label: 858a3 # (-165/4,165/8) # # a-invariants: (1, 1, 0, -754, 4732) # Cremona label: 858a4 # (91/4,-91/8) # # a-invariants: (1, 0, 1, 359, 1916) # Cremona label: 858b1 # (4,-61) (-5,2) (43,290) (43,-334) (4,56) (451/25,13786/125) (55/4,721/8) (-2,35) (-29/9,758/27) (139,1586) (-2,-34) (55/4,-839/8) (139,-1726) (-29/9,-698/27) (238,-3805) (451/25,-16166/125) (238,3566) (306595/121,168090982/1331) (306595/121,-171464858/1331) (14347/2209,-7381250/103823) (-30911/6400,-3396647/512000) (17236/529,-2883368/12167) (-30911/6400,5357527/512000) (14347/2209,6603118/103823) (17236/529,2474773/12167) (25684/441,4081799/9261) (25684/441,-4630424/9261) # # a-invariants: (1, 0, 1, -1801, 16604) # Cremona label: 858b2 # (-26,-202) (-26,227) (52,-280) (39/4,-43/8) (52,227) (-221/25,-21818/125) (39,-98) (91,-826) (559,12902) (-377/9,4270/27) (7,-70) (39,58) (559,-13462) (-221/25,22798/125) (91,734) (-377/9,-3166/27) (7,62) (-2951/64,35143/512) (156/49,35104/343) (2158/9,-102031/27) (142,-1693) (156/49,-36539/343) (-884/529,1707856/12167) (3679/100,3413/1000) (2158/9,95530/27) (142,1550) (-884/529,-1699691/12167) (-2951/64,-12047/512) (3679/100,-41203/1000) (-33389/2025,19353374/91125) (-33389/2025,-17941994/91125) (573391/289,429238726/4913) (573391/289,-438991286/4913) (51506692/1168561,164604259547/1263214441) (1962339769/774400,-87784239371563/681472000) (51506692/1168561,-221546208040/1263214441) (1962339769/774400,86056698902843/681472000) # # a-invariants: (1, 0, 1, -3736, -117658) # Cremona label: 858b3 # (73,-37) (32809/225,-5523403/3375) (32809/225,5027893/3375) (967/4,-29951/8) (967/4,28009/8) (116447043721/1493049600,12647848976014349/57691436544000) (116447043721/1493049600,-17205054181937789/57691436544000) # # a-invariants: (1, 0, 1, -65176, -6409114) # Cremona label: 858b4 # (-585/4,581/8) (585,12187) (-33239/225,332789/3375) (585,-12773) (-33239/225,162421/3375) (-246513735/1658944,135277629649/2136719872) (-246513735/1658944,180095341159/2136719872) (283111/900,-59862481/27000) (283111/900,51342151/27000) # # a-invariants: (1, 0, 1, -7, -10) # Cremona label: 858c1 # (3,-2) # # a-invariants: (1, 0, 1, -117, -494) # Cremona label: 858c2 # (-25/4,21/8) # # a-invariants: (1, 0, 1, -103987, 12897998) # Cremona label: 858d1 # (184,-43) (184,-142) # # a-invariants: (1, 0, 1, -80722, 18827108) # Cremona label: 858d2 # # # a-invariants: (1, 1, 1, -1067, 12953) # Cremona label: 858e1 # (11,-58) (19,-10) (11,46) # # a-invariants: (1, 1, 1, -1387, 4121) # Cremona label: 858e2 # (3,-2) (35,-18) (-157/4,153/8) # # a-invariants: (1, 1, 1, -13267, -589879) # Cremona label: 858e3 # (-285/4,281/8) # # a-invariants: (1, 1, 1, 5373, 39273) # Cremona label: 858e4 # (-29/4,25/8) # # a-invariants: (1, 1, 1, -572, 118685) # Cremona label: 858f1 # (-9,355) (-9,-347) (17,329) (17,-347) (693,17905) (693,-18599) (-35,-295) (-35,329) (45,-455) (45,409) (173,-2375) (173,2201) (-2547/49,-27761/343) (-2547/49,45247/343) (829/9,-26269/27) (829/9,23755/27) (1881/25,84389/125) (1881/25,-93919/125) (-49,203) (-49,-155) (3717/16,-234563/64) (3717/16,219631/64) (4423/121,487585/1331) (4423/121,-537569/1331) (-79335/2809,52138805/148877) (-79335/2809,-48082927/148877) (64325/49,-16545145/343) (64325/49,16094527/343) (22077/2209,34498823/103823) (22077/2209,-35640265/103823) (-21683/12321,-472628201/1367631) (-21683/12321,473667383/1367631) (5251155390269/84694386529,-14858164627400067305/24648014450829167) (5251155390269/84694386529,13305309617806982951/24648014450829167) # # a-invariants: (1, 1, 1, -46, 107) # Cremona label: 858g1 # (5,3) (5,-9) (1,7) (1,-9) (-7,15) (-7,-9) (3,1) (3,-5) (11,27) (11,-39) (25,111) (25,-137) (89/25,27/125) (89/25,-597/125) (-35/9,-383/27) (-35/9,461/27) (-19/16,-807/64) (-19/16,819/64) (493/121,885/1331) (493/121,-7639/1331) (4337/49,-302175/343) (4337/49,271473/343) (6681/961,-526223/29791) (6681/961,289321/29791) (10355/4489,-1882701/300763) (10355/4489,888153/300763) (-35021/4225,1241553/274625) (-35021/4225,760187/274625) (155156537155/6998493649,-67088235668700861/585472983194393) (155156537155/6998493649,53522832256730633/585472983194393) # # a-invariants: (1, 1, 1, -154, 791) # Cremona label: 858h1 # (7,7) (7,-15) (-15,7) # # a-invariants: (1, 1, 1, -2574, 49191) # Cremona label: 858h2 # (29,-15) (-59,29) (115/4,-119/8) # # a-invariants: (1, 1, 1, -2684, 44615) # Cremona label: 858h3 # (-237/4,233/8) # # a-invariants: (1, 1, 1, -41184, 3199767) # Cremona label: 858h4 # (467/4,-471/8) # # a-invariants: (1, 1, 1, -2301, -43629) # Cremona label: 858i1 # (55,-28) # # a-invariants: (1, 1, 1, -36861, -2739309) # Cremona label: 858i2 # (-445/4,441/8) # # a-invariants: (1, 0, 0, 13, -39) # Cremona label: 858j1 # (4,-11) (4,7) # # a-invariants: (1, 0, 0, -617, -5961) # Cremona label: 858j2 # # # a-invariants: (1, 0, 0, -5774401, 5346023177) # Cremona label: 858k1 # (-436,88427) (1742,-24829) (1346,2891) (1742,23087) (1346,-4237) (-436,-87991) # # a-invariants: (1, 0, 0, 16353089, -335543012233) # Cremona label: 858k2 # # # a-invariants: (1, 0, 0, -332, -6000) # Cremona label: 858l1 # (24,-12) # # a-invariants: (1, 0, 0, -7372, -243952) # Cremona label: 858l2 # (-193/4,193/8) # # a-invariants: (1, 0, 0, -1, -7) # Cremona label: 858m1 # (2,-1) # # a-invariants: (1, 0, 0, -61, -187) # Cremona label: 858m2 # (-17/4,17/8) # # a-invariants: (1, 1, 1, 3, -6) # Cremona label: 861a1 # (1,-1) # # a-invariants: (1, 1, 1, -42, -114) # Cremona label: 861a2 # (7,-4) (-13/4,9/8) (-5,2) # # a-invariants: (1, 1, 1, -657, -6756) # Cremona label: 861a3 # (-61/4,57/8) # # a-invariants: (1, 1, 1, -147, 516) # Cremona label: 861a4 # (35/4,-39/8) # # a-invariants: (1, 0, 1, 706, -64375) # Cremona label: 861b1 # (45,220) (45,-266) (423/4,8321/8) (423/4,-9175/8) (333,5926) (333,-6260) (8793/256,36661/4096) (8793/256,-181445/4096) # # a-invariants: (1, 0, 0, 2941, 18606) # Cremona label: 861c1 # (-5,64) (-5,-59) (610,14824) (610,-15434) (121/25,22391/125) (121/25,-22996/125) (595/4,14903/8) (595/4,-16093/8) (25,-341) (25,316) (1474/25,-82528/125) (1474/25,75158/125) (10635/169,1410993/2197) (10635/169,-1549248/2197) (72265/3136,53162129/175616) (72265/3136,-57208969/175616) (487699/3025,-373716053/166375) (487699/3025,346892608/166375) # # a-invariants: (1, 0, 0, -7, 14) # Cremona label: 861d1 # (-1,5) (-1,-4) (2,2) (2,-4) (5,-13) (5,8) (-13/4,31/8) (-13/4,-5/8) (13,-53) (13,40) (50/49,-1156/343) (50/49,806/343) (47/121,-4748/1331) (47/121,4231/1331) (2081/64,86677/512) (2081/64,-103325/512) (-10921/4225,1470253/274625) (-10921/4225,-760388/274625) (29506/8649,3229922/804357) (29506/8649,-5973980/804357) # # a-invariants: (1, 0, 1, 1, -2) # Cremona label: 862a1 # (1,-2) (1,0) (4,6) (4,-11) (43/9,218/27) (43/9,-374/27) (268/289,-8706/4913) (268/289,-763/4913) (30241/49,5153952/343) (30241/49,-5365982/343) (858649/788544,-1580597345/700227072) (858649/788544,117889961/700227072) (105629438716/18233370961,-44020707018693822/2462070314234791) (105629438716/18233370961,27295387965198835/2462070314234791) # # a-invariants: (1, -1, 0, -70, 244) # Cremona label: 862b1 # (4,-6) (4,2) (5,-2) (5,-3) (12,-38) (12,26) (-3,22) (-3,-19) (260/49,-1226/343) (260/49,-594/343) (361/64,-327/512) (361/64,-2561/512) (-1724/225,70054/3375) (-1724/225,-44194/3375) (12829/1681,461814/68921) (12829/1681,-987803/68921) (843980/165649,-146347914/67419143) (843980/165649,-197151946/67419143) (31991210608204/33461238515761,2484522180656908038058/193558843019877092009) (31991210608204/33461238515761,-2669577545813596042134/193558843019877092009) # # a-invariants: (1, -1, 1, 6, -7) # Cremona label: 862c1 # (1,-1) # # a-invariants: (1, -1, 1, -34, -39) # Cremona label: 862c2 # (-5/4,1/8) # # a-invariants: (1, 0, 0, 8, 64) # Cremona label: 862d1 # (0,8) (0,-8) # # a-invariants: (1, 0, 0, -72, -1744) # Cremona label: 862d2 # # # a-invariants: (1, 1, 1, -2460, 45949) # Cremona label: 862e1 # (13,121) (13,-135) (29,-7) (29,-23) (709/25,-1387/125) (269,-4487) (-11,273) (269,4217) (-11,-263) (709/25,-2283/125) (23,35) (277/9,227/27) (23,-59) (277/9,-1085/27) (-56971/1225,11689763/42875) (401221/15129,-55276949/1860867) (163637/4489,-29680957/300763) (61681/2209,-1052889/103823) (-56971/1225,-9738653/42875) (20977/289,2307125/4913) (20977/289,-2668647/4913) (61681/2209,-1949941/103823) (163637/4489,18416515/300763) (401221/15129,4065899/1860867) (-1994903171/36469521,-25660831024657/220239437319) (-1994903171/36469521,37487811837007/220239437319) # # a-invariants: (1, 1, 1, 15380, -102531) # Cremona label: 862e2 # (3127/9,181057/27) (3127/9,-190465/27) (541/9,-28409/27) (541/9,26759/27) (559/81,-48997/729) (559/81,43237/729) (415633/9216,-752848375/884736) (415633/9216,712062871/884736) (57631/225,14930051/3375) (57631/225,-15797891/3375) (1751265365633997949/53111611099989225,7928043889155077909706143177/12240078790552688298187125) (1751265365633997949/53111611099989225,-8343879822309207714541762487/12240078790552688298187125) # # a-invariants: (1, 1, 1, -2, 15) # Cremona label: 862f1 # (1,3) (1,-5) (-3,-1) (-3,3) (3,5) (3,-9) (25,115) (25,-141) (-5/9,-115/27) (-5/9,103/27) (-83/49,1513/343) (-83/49,-1275/343) (1017/121,-41087/1331) (1017/121,28569/1331) (1521/256,51855/4096) (1521/256,-80287/4096) (-28631/13225,6618817/1520875) (-28631/13225,-4847127/1520875) (53862393/23804641,444973278749/116142843439) (53862393/23804641,-823910737635/116142843439) # # a-invariants: (0, 0, 0, -3, 6) # Cremona label: 864a1 # (1,-2) (1,2) (-2,-2) (-2,2) (25/9,-118/27) (25/9,118/27) (145/16,1721/64) (145/16,-1721/64) (-983/1849,216934/79507) (-983/1849,-216934/79507) (-7586/31329,-14366566/5545233) (-7586/31329,14366566/5545233) (-176299096943/80561171889,-33016380498369746/22865919100770537) (-176299096943/80561171889,33016380498369746/22865919100770537) # # a-invariants: (0, 0, 0, -24, 48) # Cremona label: 864b1 # (4,4) (4,-4) (1,5) (1,-5) (-44/9,188/27) (-44/9,-188/27) (241/100,2039/1000) (241/100,-2039/1000) (22516/2809,-2866172/148877) (22516/2809,2866172/148877) (427681/19881,-273034315/2803221) (427681/19881,273034315/2803221) # # a-invariants: (0, 0, 0, 24, -16) # Cremona label: 864c1 # (4,12) (4,-12) (1,-3) (1,3) (20,-92) (20,92) (73/4,645/8) (73/4,-645/8) (340/361,18708/6859) (340/361,-18708/6859) (2249/529,-155279/12167) (2249/529,155279/12167) (474916/49,327284364/343) (474916/49,-327284364/343) (2783449/739600,7185652707/636056000) (2783449/739600,-7185652707/636056000) # # a-invariants: (0, 0, 0, -3, -6) # Cremona label: 864d1 # # # a-invariants: (0, 0, 0, 216, -432) # Cremona label: 864e1 # # # a-invariants: (0, 0, 0, -24, -48) # Cremona label: 864f1 # # # a-invariants: (0, 0, 0, -27, 162) # Cremona label: 864g1 # # # a-invariants: (0, 0, 0, 216, 432) # Cremona label: 864h1 # # # a-invariants: (0, 0, 0, -216, -1296) # Cremona label: 864i1 # # # a-invariants: (0, 0, 0, -27, -162) # Cremona label: 864j1 # (9,18) (9,-18) (18,-72) (18,72) (73,-622) (73,622) (1809/256,1017/4096) (1809/256,-1017/4096) (206361/3025,93447234/166375) (206361/3025,-93447234/166375) # # a-invariants: (0, 0, 0, 24, 16) # Cremona label: 864k1 # (0,4) (0,-4) (9,31) (9,-31) (496/81,14444/729) (496/81,-14444/729) (2097/3844,1289065/238328) (2097/3844,-1289065/238328) # # a-invariants: (0, 0, 0, -216, 1296) # Cremona label: 864l1 # (0,-36) (0,36) (9,-9) (9,9) (16,44) (16,-44) (-63/4,225/8) (-63/4,-225/8) (1584/49,-57492/343) (1584/49,57492/343) (889/121,13679/1331) (889/121,-13679/1331) (1196721/10000,1299738519/1000000) (1196721/10000,-1299738519/1000000) # # a-invariants: (1, 0, 0, -8, 64) # Cremona label: 866a1 # (0,8) (0,-8) (-4,-4) (4,-12) (16,56) (-4,8) (4,8) (16,-72) (160/9,-2264/27) (-96/25,1048/125) (15/4,61/8) (-96/25,-568/125) (160/9,1784/27) (15/4,-91/8) (6076,470588) (-496/2401,965432/117649) (196/961,-238344/29791) (-496/2401,-941128/117649) (6076,-476664) (196/961,232268/29791) (-383295/92416,212489767/28094464) (2456320/576081,-5558565832/437245479) (2456320/576081,3694218952/437245479) (-383295/92416,-95968087/28094464) # # a-invariants: (1, 0, 0, 72, -1712) # Cremona label: 866a2 # (144,-1804) (144,1660) (143/4,1589/8) (143/4,-1875/8) (16,-68) (16,52) (2657/256,33735/4096) (2657/256,-76247/4096) (15919/900,1703243/27000) (15919/900,-2180813/27000) (14019519376/2307361,-1670651479152692/3504881359) (14019519376/2307361,1649355829220548/3504881359) # # a-invariants: (0, -1, 1, 193, -5023) # Cremona label: 867a1 # (57,-434) (57,433) (139/9,-1025/27) (139/9,998/27) (9381/484,793183/10648) (9381/484,-803831/10648) (47335/441,10311218/9261) (47335/441,-10320479/9261) # # a-invariants: (0, -1, 1, -17147, -859018) # Cremona label: 867a2 # (789/4,-14743/8) (789/4,14735/8) (47665/144,9404063/1728) (47665/144,-9405791/1728) # # a-invariants: (1, 1, 1, -23, 20) # Cremona label: 867b1 # (1,-1) (0,4) (18,-86) (0,-5) (18,67) (-13/4,77/8) (-13/4,-59/8) (5,-11) (5,5) (594/169,-5342/2197) (594/169,-4577/2197) (-144/25,356/125) (-144/25,239/125) (1345/256,-49801/4096) (-3263/1089,340783/35937) (1345/256,24185/4096) (-3263/1089,-269041/35937) (18961541/4225,81962813141/274625) (18961541/4225,-83195587931/274625) (6691477419265/1401325618176,6962389343155041775/1658855634981912576) (6691477419265/1401325618176,-16542455351604798991/1658855634981912576) # # a-invariants: (1, 1, 1, 62, 224) # Cremona label: 867b2 # (-13/4,9/8) (17,72) (1,-18) (17,-90) (1,16) (1169/64,40509/512) (3/4,125/8) (1169/64,-50373/512) (3/4,-139/8) (-13711/4225,131958/274625) (17953,-2414562) (-13711/4225,484632/274625) (17953,2396608) (350593/278784,-2744492521/147197952) (350593/278784,2412181465/147197952) (79635059/5026564,-931032075807/11269556488) (79635059/5026564,741220717041/11269556488) # # a-invariants: (0, -1, 1, 1638, -13693) # Cremona label: 867c1 # (301/36,-5021/216) (301/36,4805/216) (231025/144,-111043711/1728) (231025/144,111041983/1728) # # a-invariants: (0, -1, 1, -244012, -46313805) # Cremona label: 867c2 # # # a-invariants: (1, 0, 0, -6653, 145704) # Cremona label: 867d1 # (24,-12) # # a-invariants: (1, 0, 0, 17912, 976001) # Cremona label: 867d2 # (-193/4,193/8) # # a-invariants: (0, 1, 1, 6, -1) # Cremona label: 867e1 # # # a-invariants: (0, 1, 1, -844, -9725) # Cremona label: 867e2 # # # a-invariants: (1, 0, 1, -138, 609) # Cremona label: 869a1 # (9,-16) (9,6) (27/4,-29/8) (27/4,-33/8) (553/81,-3304/729) (553/81,-2402/729) (801/64,-18717/512) (801/64,11797/512) (70569/625,-19559928/15625) (70569/625,17780078/15625) (4164571/544644,-3515045077/401947272) (4164571/544644,39644407/401947272) # # a-invariants: (0, 1, 1, 10, -2) # Cremona label: 869b1 # (11,-40) (11,39) (2,5) (2,-6) (22/81,386/729) (22/81,-1115/729) (71/121,2209/1331) (71/121,-3540/1331) (67001/19600,23787051/2744000) (67001/19600,-26531051/2744000) (754111/29241,-674722871/5000211) (754111/29241,669722660/5000211) # # a-invariants: (1, 0, 0, -2, -5) # Cremona label: 869c1 # (2,-1) # # a-invariants: (1, 0, 0, -57, -170) # Cremona label: 869c2 # (-17/4,17/8) # # a-invariants: (1, 1, 0, -512, 4237) # Cremona label: 869d1 # (-4,81) (-4,-77) (63/4,95/8) (63/4,-221/8) (12,-5) (12,-7) (929/64,-9483/512) (929/64,2051/512) (364/225,194533/3375) (364/225,-199993/3375) (2399/4,-119941/8) (2399/4,115143/8) (-288228/25921,412681123/4173281) (-288228/25921,-366276415/4173281) # # a-invariants: (1, 1, 0, -87, 261) # Cremona label: 870a1 # (6,-3) (-3,24) (-3,-21) (2,9) (2,-11) (7,-11) (7,4) (42,249) (42,-291) (-10,-11) (15/4,3/8) (-10,21) (15/4,-33/8) (103/9,668/27) (618/49,10527/343) (103/9,-977/27) (618/49,-14853/343) (-1587/169,-31377/2197) (-1587/169,52008/2197) (1058/289,5177/4913) (1058/289,-23163/4913) (3409/64,-212131/512) (20454/3025,476907/166375) (3409/64,184859/512) (20454/3025,-1601877/166375) (5855623/974169,-2285962148/961504803) (5855623/974169,-3493537753/961504803) # # a-invariants: (1, 1, 0, -267, -1431) # Cremona label: 870a2 # (18,-9) (-6,3) (-53/4,53/8) (-7,16) (23,-84) (-12,21) (168,-2259) (-12,-9) (168,2091) (23,61) (-7,-9) (43,241) (-83/9,-383/27) (-468/49,-4887/343) (-468/49,8163/343) (-83/9,632/27) (48,-339) (48,291) (43,-284) (-822/121,19521/1331) (546/25,6291/125) (-822/121,-10479/1331) (3413/16,192549/64) (3413/16,-206201/64) (546/25,-9021/125) (-49/4,159/8) (-49/4,-61/8) (-13283/2209,155333/103823) (13248,-1531539) (13248,1518291) (7963/441,-144124/9261) (7963/441,-23099/9261) (-13283/2209,468968/103823) (6819288/279841,-14430553251/148035889) (-572887/48841,-110399749/10793861) (-572887/48841,237007776/10793861) (6819288/279841,10823149899/148035889) (10459681/193600,-34793566741/85184000) (10459681/193600,30191307101/85184000) (-35102097372/2813347681,2774248290174711/149222774347921) (-35102097372/2813347681,-912397943466459/149222774347921) # # a-invariants: (1, 1, 0, -4017, -99681) # Cremona label: 870a3 # (-149/4,149/8) (173,2016) (-37,21) (173,-2189) (-37,16) (73,16) (73,-89) (-16217/441,168176/9261) (-16217/441,172381/9261) (-17929/484,170809/10648) (86861/400,-25300501/8000) (-17929/484,223629/10648) (86861/400,23563281/8000) (5842393/441,14060832176/9261) (5842393/441,-14183522429/9261) # # a-invariants: (1, 1, 0, 603, -7869) # Cremona label: 870a4 # (43/4,-43/8) (17,-96) (167,-2271) (167,2104) (17,79) (1933/49,89797/343) (403/9,8408/27) (1933/49,-103328/343) (403/9,-9617/27) (1559/100,-82793/1000) (1559/100,67203/1000) (411437/1936,257276511/85184) (411437/1936,-275379739/85184) (29264803/2209,-159009129733/103823) (29264803/2209,157633683992/103823) (254749859927/13667714281,-176898147359616259/1597878808877429) (254749859927/13667714281,147115595985410616/1597878808877429) # # a-invariants: (1, 0, 1, -2829, 55816) # Cremona label: 870b1 # (44,-153) (44,108) (35,-18) (131,1326) (131,-1458) (-85/4,-2529/8) (851/49,-40734/343) (-61,-18) (26,-9) (-85/4,2691/8) (-14,311) (491/25,-12426/125) (26,-18) (851/49,34434/343) (491/25,9846/125) (-14,-298) (-61,78) (18244/441,731387/9261) (29531/841,-684282/24389) (7604,659268) (230915/2209,93297906/103823) (29531/841,-196506/24389) (18244/441,-1123772/9261) (230915/2209,-104254734/103823) (479339/2809,304770294/148877) (75881/1600,-12430449/64000) (75881/1600,9331209/64000) (7604,-666873) (479339/2809,-330324138/148877) (93658143980284/1804699378881,-603368282022809755612/2424416903294325471) (93658143980284/1804699378881,475124357419697727097/2424416903294325471) # # a-invariants: (1, 0, 1, -7149, -156728) # Cremona label: 870b2 # (-34,-201) (-34,234) (-281/4,277/8) (140,1191) (140,-1332) (-1550/49,-61606/343) (-3661/100,254967/1000) (-70,-9) (30416,-5319816) (-1550/49,72113/343) (1144/9,25168/27) (2501/16,97191/64) (30416,5289399) (-3661/100,-219357/1000) (-70,78) (1144/9,-28627/27) (2501/16,-107259/64) (-57438266/1456849,479377404257/1758416743) (-57438266/1456849,-411807833938/1758416743) (219278980/1238769,2679991386836/1378749897) (6395060/841,16078641972/24389) (219278980/1238769,-2925427641473/1378749897) (6395060/841,-16264123101/24389) (413381129/3534400,4800103573473/6644672000) (413381129/3534400,-5583904767993/6644672000) # # a-invariants: (1, 0, 1, -32844, -2275958) # Cremona label: 870b3 # (209,-105) (-137191/1225,3559053/42875) (-137191/1225,1199757/42875) (-389/4,595/8) (-389/4,175/8) (1160024184689/5218473121,-491278479961101735/376977279787919) (5365943521/705600,390709142731811/592704000) (1160024184689/5218473121,407102515603565145/376977279787919) (5365943521/705600,-395217127993451/592704000) # # a-invariants: (1, 0, 1, -524364, -146193014) # Cremona label: 870b4 # (-1673/4,1669/8) (4380397/144,-9191606371/1728) (-2049389/4900,71123681/343000) (-2049389/4900,71990549/343000) (4380397/144,9139039879/1728) (28050974779316039041/3682154634177600,147020747868993168679645831309/223435941639418742976000) (28050974779316039041/3682154634177600,-148723125773284537627586358469/223435941639418742976000) # # a-invariants: (1, 0, 1, -58, 56) # Cremona label: 870c1 # (10,-28) (10,17) (-5,17) (-5,-13) (1,-1) (25,-133) (-5/4,91/8) (55,377) (-8,8) (7,-1) (-8,-1) (0,7) (55,-433) (25,107) (0,-8) (7,-7) (-5/4,-89/8) (-365/121,20377/1331) (-335/49,5081/343) (505/64,-7631/512) (19/25,-563/125) (-335/49,-3079/343) (226,-3511) (226,3284) (505/64,3079/512) (130/9,1084/27) (130/9,-1501/27) (19/25,343/125) (-365/121,-17693/1331) (65695/4489,12391301/300763) (-4653/676,257999/17576) (-4653/676,-154597/17576) (65695/4489,-17093629/300763) (76975/361,-22089997/6859) (76975/361,20620613/6859) (88947385/3625216,-892090762667/6902411264) (88947385/3625216,715832530363/6902411264) (16868410/2405601,-3070578308/3731087151) (16868410/2405601,-26823412753/3731087151) (612813630745/2362369,-480196482179549749/3630961153) (612813630745/2362369,479254583998133531/3630961153) # # a-invariants: (1, 0, 1, 212, 488) # Cremona label: 870c2 # (34,200) (-9/4,5/8) (4,35) (4,-40) (34,-235) (16/9,-835/27) (54,-440) (109/16,-3295/64) (54,385) (91/4,-1145/8) (904,26735) (904,-27640) (16/9,760/27) (91/4,955/8) (-2,8) (109/16,2795/64) (-2,-7) (169/3136,-4018265/175616) (169/3136,3833185/175616) (5644/25,410968/125) (5644/25,-439313/125) (11356/1089,-2439605/35937) (11356/1089,2028920/35937) (34506/2209,-9961480/103823) (111079/1156,35594225/39304) (34506/2209,8235875/103823) (111079/1156,-39410215/39304) # # a-invariants: (1, 0, 1, -2533, -49264) # Cremona label: 870c3 # (-29,14) (-117/4,107/8) (67,-322) (-117/4,119/8) (67,254) (-4312349/148225,732100046/57066625) (131521/576,44864701/13824) (-4312349/148225,871087694/57066625) (131521/576,-48035029/13824) # # a-invariants: (1, 0, 1, -2413, -54112) # Cremona label: 870c4 # (231/4,-235/8) (130261/144,46166395/1728) (267/4,2039/8) (130261/144,-47731255/1728) (267/4,-2581/8) (19486737601/85377600,-2742120882107221/788889024000) (19486737601/85377600,2561274537649981/788889024000) # # a-invariants: (1, 0, 1, -113, -124) # Cremona label: 870d1 # (11,-6) # # a-invariants: (1, 0, 1, -1393, -20092) # Cremona label: 870d2 # (-89/4,85/8) (43,-22) (-21,10) # # a-invariants: (1, 0, 1, -22273, -1281244) # Cremona label: 870d3 # (-345/4,341/8) # # a-invariants: (1, 0, 1, -993, -31772) # Cremona label: 870d4 # (167/4,-171/8) (107,990) (107,-1098) # # a-invariants: (1, 1, 1, -11, -7) # Cremona label: 870e1 # (3,-2) (-1,2) (-1,-2) (-3,-2) (-3,4) (7,-22) (7,14) (9,-32) (9,22) (-21/25,-202/125) (-13/4,-11/8) (-21/25,182/125) (-13/4,29/8) (489,10582) (247/81,-674/729) (489,-11072) (247/81,-2278/729) (-2883/2401,-274658/117649) (-2883/2401,298276/117649) (-4561/1681,287282/68921) (-4561/1681,-169202/68921) (77281/6400,-25126169/512000) (77281/6400,18431689/512000) # # a-invariants: (1, 1, 1, -131, -631) # Cremona label: 870e2 # (-29/4,25/8) (-7,4) (29,130) (29,-160) (-7,2) (-551/81,1970/729) (-551/81,2260/729) (13,2) (13,-16) (3161/64,161825/512) (-709/100,2081/1000) (-709/100,4009/1000) (3161/64,-187625/512) (39613/81,-8070704/729) (39613/81,7713458/729) (-27905527/4036081,16868007556/8108486729) (-27905527/4036081,31085709458/8108486729) # # a-invariants: (1, 1, 1, -1760, 27137) # Cremona label: 870f1 # (21,-11) (17,-59) (117,1141) (117,-1259) (17,41) (-3,-179) (37,101) (-3,181) (37,-139) (-43,-139) (-43,181) (27,-29) (27,1) (-33,241) (253/9,-1193/27) (253/9,407/27) (-33,-209) (45,181) (5,133) (5,-139) (45,-227) (933/49,-14237/343) (217,-3259) (933/49,7363/343) (217,3041) (83/4,-7/8) (83/4,-167/8) (1557,60661) (1557,-62219) (1677/121,-109969/1331) (673/9,-16313/27) (673/9,14267/27) (1677/121,90191/1331) (-2227/169,495977/2197) (-2227/169,-469223/2197) (11637/361,381319/6859) (11637/361,-609281/6859) (7669/289,-49883/4913) (7669/289,-85403/4913) (-1209/25,-2701/125) (-1209/25,8621/125) (-59347/2809,36551857/148877) (-59347/2809,-33555343/148877) (55683/1849,-5287463/79507) (55683/1849,2813587/79507) (233893/3969,-98490293/250047) (233893/3969,83504987/250047) (2460573/4489,-3935698697/300763) (2460573/4489,3770539543/300763) (1596457/4096,-2060356171/262144) (1596457/4096,1957920779/262144) (23869485/444889,-97515439841/296740963) (23869485/444889,81297752383/296740963) (294686751601/89019225,158597688221626819/839896387875) (294686751601/89019225,-161378897619370129/839896387875) # # a-invariants: (1, 1, 1, 160, 85505) # Cremona label: 870f2 # (-173/4,169/8) (-7,-287) (113,1193) (-7,293) (113,-1307) (13,-307) (13,293) (517/9,13711/27) (517/9,-15289/27) (863,24943) (863,-25807) (-37,193) (-37,-157) (283,4643) (283,-4927) (-233/9,7211/27) (-233/9,-6539/27) (29,325) (10157/289,1723709/4913) (29,-355) (10157/289,-1901291/4913) (-1727/81,204317/729) (10537/49,1054199/343) (10537/49,-1128301/343) (-1727/81,-189503/729) (6227/4,-497831/8) (-40663/1024,-3820901/32768) (-40663/1024,5089349/32768) (6227/4,485369/8) (73657/1089,-24286459/35937) (73657/1089,21819841/35937) (-118483/61009,4405425539/15069223) (-118483/61009,-4391229461/15069223) (-309401/7225,42874973/614125) (-309401/7225,-17190013/614125) (163158523/12321,-2093236591217/1367631) (163158523/12321,2075124627533/1367631) (-62389717/5193841,-3324861884923/11836763639) (-62389717/5193841,3455211286327/11836763639) # # a-invariants: (1, 1, 1, -250, 1415) # Cremona label: 870g1 # (9,-5) (5,-21) (5,15) # # a-invariants: (1, 1, 1, -330, 327) # Cremona label: 870g2 # (-77/4,73/8) (1,-1) (17,-9) # # a-invariants: (1, 1, 1, -3230, -71593) # Cremona label: 870g3 # (-141/4,137/8) # # a-invariants: (1, 1, 1, 1290, 4215) # Cremona label: 870g4 # (-13/4,9/8) (33,-307) (33,273) # # a-invariants: (1, 0, 0, -5, -3) # Cremona label: 870h1 # (-2,1) # # a-invariants: (1, 0, 0, -35, 75) # Cremona label: 870h2 # (15/4,-15/8) # # a-invariants: (1, 0, 0, -4480, -25600) # Cremona label: 870i1 # (-40,-280) (-10,-130) (260,-4180) (260,3920) (-64,32) (80,320) (-40,320) (-10,140) (80,-400) # # a-invariants: (1, 0, 0, -43360, 3450272) # Cremona label: 870i2 # (164,788) (284,-3892) (1034,-33142) (284,3608) (1034,32108) (134,158) (164,-952) (134,-292) (511/4,-511/8) # # a-invariants: (1, 0, 0, -2136580, -1202240020) # Cremona label: 870i3 # (-844,422) # # a-invariants: (1, 0, 0, -2136610, -1202204578) # Cremona label: 870i4 # (6751/4,-6751/8) # # a-invariants: (0, -1, 1, -42, 139) # Cremona label: 871a1 # # # a-invariants: (0, 1, 0, 0, 16) # Cremona label: 872a1 # (0,-4) (0,4) (-1,4) (-1,-4) (64,-516) (64,516) (65/64,-2177/512) (65/64,2177/512) (-8256/4225,-965372/274625) (-8256/4225,965372/274625) (262015/16641,138578444/2146689) (262015/16641,-138578444/2146689) # # a-invariants: (1, -1, 0, -27, -32) # Cremona label: 873a1 # (-4,2) # # a-invariants: (1, -1, 0, -162, 805) # Cremona label: 873a2 # (35/4,-35/8) # # a-invariants: (1, -1, 0, -1476, -21461) # Cremona label: 873b1 # (-22,11) (-2650/121,15223/1331) (275/4,3289/8) (275/4,-3839/8) (-2650/121,13927/1331) (1959153/30976,-2176929089/5451776) (1959153/30976,1832118161/5451776) (-57814966/2640625,48928607827/4291015625) (-57814966/2640625,45020711923/4291015625) # # a-invariants: (1, -1, 0, -1521, -20048) # Cremona label: 873b2 # (179/4,-179/8) (-28,14) (-16,8) (-296656/15625,99436672/1953125) (-4156/169,-71986/2197) (-296656/15625,-62354672/1953125) (33323/484,4371947/10648) (33323/484,-5105053/10648) (14601/64,-1792279/512) (14601/64,1675471/512) (-4156/169,126014/2197) (5182024003809/81796000000,7849760276461990873/23393656000000000) (5182024003809/81796000000,-9331819141551364873/23393656000000000) # # a-invariants: (1, -1, 0, -5886, 153679) # Cremona label: 873b3 # (227/4,-227/8) (-70,503) (-70,-433) (4670/169,205841/2197) (4670/169,-266551/2197) (2504433/10816,3628404859/1124864) (588840371/7562500,-9203161207169/20796875000) (588840371/7562500,7583850186919/20796875000) (2504433/10816,-3888865891/1124864) # # a-invariants: (1, -1, 0, 2124, -103883) # Cremona label: 873b4 # (131/4,-131/8) (621/16,10883/64) (621/16,-13367/64) (3623/4,-221873/8) (3623/4,214627/8) (225154641/1000000,3315315872939/1000000000) (4928819/81796,-12169457617/23393656) (225154641/1000000,-3540470513939/1000000000) (4928819/81796,10759815383/23393656) # # a-invariants: (0, 0, 1, -19569, -4064513) # Cremona label: 873c1 # (227473/256,106817593/4096) (227473/256,-106821689/4096) (1155016345/4596736,-25860134381251/9855401984) (1155016345/4596736,25850278979267/9855401984) # # a-invariants: (0, 0, 1, -3, 22) # Cremona label: 873d1 # (1,4) (1,-5) (-2,-5) (-2,4) (10,-32) (10,31) (5,-12) (5,11) (-47/16,121/64) (-47/16,-185/64) (109/49,-1940/343) (109/49,1597/343) (1474/25,-56632/125) (1474/25,56507/125) (-106/529,52068/12167) (-106/529,-64235/12167) (532465/18496,386760631/2515456) (532465/18496,-389276087/2515456) (5187025/1819801,-16131029233/2454911549) (5187025/1819801,13676117684/2454911549) # # a-invariants: (1, -1, 0, -19, -13) # Cremona label: 874a1 # # # a-invariants: (1, -1, 0, -13189, 575701) # Cremona label: 874b1 # # # a-invariants: (1, 1, 0, -38, 76) # Cremona label: 874c1 # (3,-2) (3,-1) (5,-9) (5,4) (-1/4,75/8) (-1/4,-73/8) (549/169,-3197/2197) (549/169,-3940/2197) (-2525/441,138739/9261) (-2525/441,-85714/9261) (312513/87616,-80478077/25934336) (312513/87616,-12025771/25934336) (13920611/5593225,11859546414/13227977125) (13920611/5593225,-44781791429/13227977125) # # a-invariants: (1, 0, 0, -12, -16) # Cremona label: 874d1 # (-2,0) (-2,2) (4,0) (4,-4) (-20/9,4/27) (-20/9,56/27) (82,-784) (82,702) (-353/196,4563/2744) (-353/196,379/2744) (7570/1521,-582512/59319) (7570/1521,287282/59319) # # a-invariants: (1, 1, 1, -410, 903) # Cremona label: 874e1 # (21,-57) (67,-563) (21,35) (67,495) (109/49,505/343) (-41/9,1451/27) (-441/25,7917/125) (-3,47) (-77/4,441/8) (-441/25,-5837/125) (109/49,-1611/343) (-77/4,-295/8) (-3,-45) (-41/9,-1355/27) (194643/49,85204281/343) (359601/4096,199914615/262144) (662053/33489,-259616491/6128487) (359601/4096,-223191223/262144) (12019/529,-911205/12167) (224149/4225,-107206137/274625) (662053/33489,132332305/6128487) (194643/49,-86567125/343) (224149/4225,92361827/274625) (12019/529,622601/12167) # # a-invariants: (1, 1, 1, -142320, -20724857) # Cremona label: 874e2 # (-9623549/44100,1005550321/9261000) (-9623549/44100,1006133969/9261000) (59783946660393460801/15022443966566400,456500245090191157519693022911/1841242069001694707712000) (59783946660393460801/15022443966566400,-463829570321353676962412964991/1841242069001694707712000) # # a-invariants: (1, 0, 0, -7929, -270343) # Cremona label: 874f1 # (154,1395) (154,-1549) # # a-invariants: (1, 0, 0, -640889, -197533063) # Cremona label: 874f2 # # # a-invariants: (0, -1, 0, -48885, 4176513) # Cremona label: 876a1 # (128,-1) (128,1) (-899/4,-15513/8) (-899/4,15513/8) # # a-invariants: (0, 1, 0, -61, 191) # Cremona label: 876b1 # (5,6) (5,-6) (-7,-18) (-7,18) (2,-9) (2,9) (17,66) (17,-66) (13,-42) (13,42) (5/4,87/8) (5/4,-87/8) (-139/25,-2466/125) (-139/25,2466/125) (665/121,9594/1331) (665/121,-9594/1331) (698,18453) (698,-18453) (2017/441,49526/9261) (2017/441,-49526/9261) (-18187/2209,1478982/103823) (-18187/2209,-1478982/103823) (35273/13456,11678733/1560896) (35273/13456,-11678733/1560896) (-139500943/34374769,3970811915214/201539270647) (-139500943/34374769,-3970811915214/201539270647) (4766223317/780140761,-199335873906594/21790111595491) (4766223317/780140761,199335873906594/21790111595491) # # a-invariants: (0, 0, 0, 2, 3) # Cremona label: 880a1 # (-1,0) (3,6) (1/4,-15/8) (3,-6) (1/4,15/8) (599/121,-15420/1331) (-23/144,2827/1728) (-23/144,-2827/1728) (599/121,15420/1331) (-193101/207025,53536482/94196375) (1021201/13924,1032165225/1643032) (-193101/207025,-53536482/94196375) (1021201/13924,-1032165225/1643032) # # a-invariants: (0, 0, 0, -23, 38) # Cremona label: 880a2 # (2,0) (1,4) (1,-4) (13,-44) (13,44) (-26/9,242/27) (17/4,-33/8) (-26/9,-242/27) (17/4,33/8) (-887/169,8260/2197) (-887/169,-8260/2197) (4309/1225,-33748/42875) (4309/1225,33748/42875) (100897/17424,22883023/2299968) (100897/17424,-22883023/2299968) (211608014801/2882616100,-97138260442965951/154767658409000) (211608014801/2882616100,97138260442965951/154767658409000) # # a-invariants: (0, 0, 0, -38, 87) # Cremona label: 880b1 # (3,0) # # a-invariants: (0, 0, 0, 17, 318) # Cremona label: 880b2 # (-6,0) # # a-invariants: (0, 0, 0, -5042, -137801) # Cremona label: 880c1 # (-41,0) (-5903/144,-55/1728) (-5903/144,55/1728) (103,660) (103,-660) (-5826713/142129,-2415720/53582633) (118513/576,-37946935/13824) (118513/576,37946935/13824) (-5826713/142129,2415720/53582633) # # a-invariants: (0, 0, 0, -5047, -137514) # Cremona label: 880c2 # (-43,0) (-39,0) (82,0) (137,-1320) (-362/9,550/27) (-167/4,165/8) (-362/9,-550/27) (-167/4,-165/8) (357,-6600) (357,6600) (137,1320) (14833/144,-1140425/1728) (-7167/169,-34800/2197) (14833/144,1140425/1728) (-33283/841,377520/24389) (802,-22620) (802,22620) (-7167/169,34800/2197) (-33283/841,-377520/24389) (-2168954/50625,98696906/11390625) (-2168954/50625,-98696906/11390625) (1537629/17689,-667873800/2352637) (1537629/17689,667873800/2352637) (16844465953/81866304,-2033263296666575/740726318592) (16844465953/81866304,2033263296666575/740726318592) # # a-invariants: (0, 0, 0, -7547, 12986) # Cremona label: 880c3 # (86,0) (-35,484) (-35,-484) (-13,-330) (1417,53240) (-13,330) (-557/9,-13310/27) (-557/9,13310/27) (97,-440) (1417,-53240) (97,440) (-83,260) (1433/4,-52635/8) (1258/9,-35090/27) (1433/4,52635/8) (-107/169,292820/2197) (-107/169,-292820/2197) (1258/9,35090/27) (-83,-260) (8185/49,-633688/343) (96265/361,28249144/6859) (-54061/625,-2132262/15625) (8185/49,633688/343) (91/81,-48950/729) (96265/361,-28249144/6859) (91/81,48950/729) (-54061/625,2132262/15625) (12889273/121104,-27161470765/42144192) (12889273/121104,27161470765/42144192) (135638/169,-49661340/2197) (135638/169,49661340/2197) # # a-invariants: (0, 0, 0, -2627, -269646) # Cremona label: 880c4 # (203,-2750) (203,2750) (78,0) (3203,-181250) (3202/9,178750/27) (537/4,10725/8) (83,290) (83,-290) (537/4,-10725/8) (3202/9,-178750/27) (3203,181250) (673998/841,-552056700/24389) (2423833/24336,2565648125/3796416) (2423833/24336,-2565648125/3796416) (673998/841,552056700/24389) (1336523/1681,-1541499410/68921) (1336523/1681,1541499410/68921) (74400560194/895505625,7839697995966122/26798005828125) (74400560194/895505625,-7839697995966122/26798005828125) # # a-invariants: (0, 0, 0, -67, 226) # Cremona label: 880d1 # (-3,20) (-3,-20) (7,10) (7,-10) (5,-4) (5,4) (2,10) (2,-10) (37,-220) (37,220) (-9,10) (-9,-10) (133/9,-1340/27) (133/9,1340/27) (57/16,-365/64) (57/16,365/64) (205/49,-1492/343) (205/49,1492/343) (1247/121,33410/1331) (1247/121,-33410/1331) (-3787/529,-223940/12167) (-3787/529,223940/12167) (2386/25,-116134/125) (2386/25,116134/125) (224407/40401,40779910/8120601) (224407/40401,-40779910/8120601) (626085/104329,213242788/33698267) (626085/104329,-213242788/33698267) # # a-invariants: (0, -1, 0, -1416, -20240) # Cremona label: 880e1 # # # a-invariants: (0, -1, 0, 4744, -108944) # Cremona label: 880e2 # # # a-invariants: (0, -1, 0, -16, -64) # Cremona label: 880f1 # (8,16) (8,-16) (10,26) (10,-26) (424,-8720) (424,8720) (1145/169,21152/2197) (1145/169,-21152/2197) (569512/42849,386075888/8869743) (569512/42849,-386075888/8869743) # # a-invariants: (0, -1, 0, 144, 1600) # Cremona label: 880f2 # (16,-88) (16,88) (-6,22) (-6,-22) (0,-40) (0,40) (49,352) (49,-352) (1024/9,-32824/27) (1024/9,32824/27) (106/25,-5954/125) (106/25,5954/125) (-17904/2401,880088/117649) (-17904/2401,-880088/117649) (36969/4096,-15626677/262144) (36969/4096,15626677/262144) (1190800/2809,-1298447240/148877) (1190800/2809,1298447240/148877) # # a-invariants: (0, 1, 0, 160, 3188) # Cremona label: 880g1 # (26,-160) (26,160) (-4,50) (-4,-50) (-86/9,-800/27) (-86/9,800/27) (11,-80) (11,80) (218,3232) (218,-3232) (604/9,15290/27) (604/9,-15290/27) (4874/1369,-3128800/50653) (4874/1369,3128800/50653) (-11671/1024,121525/32768) (-11671/1024,-121525/32768) (79834/42849,-524444320/8869743) (79834/42849,524444320/8869743) # # a-invariants: (0, 1, 0, -95040, 11245748) # Cremona label: 880g2 # (178,-8) (178,8) (172,-130) (172,130) (562/9,63656/27) (562/9,-63656/27) (750571/4225,-228944/274625) (750571/4225,228944/274625) (68088562/243049,309810367784/119823157) (68088562/243049,-309810367784/119823157) # # a-invariants: (0, 1, 0, -5, -2) # Cremona label: 880h1 # (2,0) (-2,-2) (-3/4,-11/8) (-2,2) (-3/4,11/8) (226/25,-3476/125) (57/16,395/64) (57/16,-395/64) (226/25,3476/125) (-49043/19044,-1722061/2628072) (-49043/19044,1722061/2628072) # # a-invariants: (0, 1, 0, -60, -200) # Cremona label: 880h2 # (-5,0) (-19/4,5/8) (15,-50) (-19/4,-5/8) (15,50) (4241/400,173089/8000) (4241/400,-173089/8000) # # a-invariants: (0, 0, 0, 13, -14) # Cremona label: 880i1 # (1,0) # # a-invariants: (0, 0, 0, -67, -126) # Cremona label: 880i2 # (-2,0) (9,0) (-7,0) # # a-invariants: (0, 0, 0, -947, -11214) # Cremona label: 880i3 # (-18,0) # # a-invariants: (0, 0, 0, -467, 3794) # Cremona label: 880i4 # (25,-88) (25,88) (14,0) # # a-invariants: (0, -1, 0, -45, -100) # Cremona label: 880j1 # (-4,0) # # a-invariants: (0, -1, 0, -100, 252) # Cremona label: 880j2 # (9,0) # # a-invariants: (0, -1, 0, -445, 3720) # Cremona label: 880j3 # (-24,0) # # a-invariants: (0, -1, 0, -7100, 232652) # Cremona label: 880j4 # (49,0) # # a-invariants: (1, -1, 0, -4566, 119916) # Cremona label: 882a1 # (37,-43) (37,6) (39,-24) (99/4,1077/8) (135,-1464) (99/4,-1275/8) (39,-15) (135,1329) (-275/9,13367/27) (40681/1024,-450437/32768) (40681/1024,-851355/32768) (18061/361,-1006809/6859) (18061/361,663650/6859) (-275/9,-12542/27) # # a-invariants: (1, -1, 0, 579, 366533) # Cremona label: 882a2 # (37,-680) (37,643) (-61,349) (-61,-288) (499/4,-12811/8) (499/4,11813/8) (79067/169,21770113/2197) (79067/169,-22797984/2197) (-49231079/3326976,-3568533130381/6068404224) (-49231079/3326976,3658330618477/6068404224) # # a-invariants: (1, -1, 0, -93, -323) # Cremona label: 882b1 # # # a-invariants: (1, -1, 0, 12, -1072) # Cremona label: 882b2 # # # a-invariants: (1, -1, 0, -450, -8366) # Cremona label: 882c1 # # # a-invariants: (1, -1, 0, -62190, 6208852) # Cremona label: 882c2 # # # a-invariants: (1, -1, 0, -9, 27) # Cremona label: 882d1 # (3,3) (3,-6) (-3,6) (-3,-3) (3/4,33/8) (3/4,-39/8) (13,-51) (13,38) (219/25,-3513/125) (219/25,2418/125) (33/256,20553/4096) (33/256,-21081/4096) (-5613/2401,-519261/117649) (-5613/2401,794298/117649) (2673003/11236,-4504609707/1191016) (2673003/11236,4221271389/1191016) # # a-invariants: (1, -1, 0, -1269, -17739) # Cremona label: 882d2 # (45,99) (45,-144) (291,-5064) (291,4773) (568179/6724,355919769/551368) (568179/6724,-402510447/551368) # # a-invariants: (1, -1, 0, -1773, 63909) # Cremona label: 882e1 # (-54,27) (58,363) (9,216) (58,-421) (9,-225) (90,747) (-5,-267) (-5,272) (90,-837) (4887/4,-346221/8) (4887/4,336447/8) (-3926/81,-117181/729) (-3926/81,152515/729) (2491/121,-265593/1331) (2491/121,238192/1331) (366426/9025,188393589/857375) (366426/9025,-223204059/857375) (2939015185/9585216,153254348247923/29675828736) (2939015185/9585216,-162353539260683/29675828736) # # a-invariants: (1, -1, 0, -37053, 2752245) # Cremona label: 882e2 # (-222,111) (114,-57) (435/4,-435/8) (121,111) (102,-213) (-33,-1968) (102,111) (366,5991) (-33,2001) (366,-6357) (121,-232) (6213/121,-1353864/1331) (30990/361,-3350535/6859) (4614/25,-195873/125) (4614/25,172803/125) (6213/121,1285521/1331) (139,-592) (139,453) (30990/361,2761725/6859) (397639/324,-251332453/5832) (-198942/1369,-110171877/50653) (397639/324,244174951/5832) (3171333/29584,27286041/5088448) (-198942/1369,117532731/50653) (3171333/29584,-572755317/5088448) (2074226694/1297321,-94971770903463/1477648619) (2074226694/1297321,92609226698997/1477648619) (125788171/1092025,-123676221904/1141166125) (125788171/1092025,-7772416791/1141166125) # # a-invariants: (1, -1, 0, -45873, 1349865) # Cremona label: 882e3 # (198,-99) (30,-15) (-909/4,909/8) (-96,-2157) (-45,-1800) (-96,2253) (15156/25,1712439/125) (-45,1845) (373,-6189) (373,5816) (15156/25,-1788219/125) (-945780/4489,-352200255/300763) (1843272/289,2485338003/4913) (5239/25,-132123/125) (-945780/4489,415567515/300763) (1013049/43681,-5089925448/9129329) (1843272/289,-2516673627/4913) (1013049/43681,4878198207/9129329) (5239/25,105928/125) (-6161001795/40500496,-544530273419115/257745156544) (-6161001795/40500496,583738888842495/257745156544) (2266790447292391/1416706965025,105595878198114747114424/1686242548655831375) (2266790447292391/1416706965025,-108293936861956751964129/1686242548655831375) # # a-invariants: (1, -1, 0, -592713, 175784769) # Cremona label: 882e4 # (1779/4,-1779/8) (408,1119) (408,-1527) (444,-195) (444,-249) (555,-4467) (445,-213) (555,3912) (445,-232) (608826/1369,-11239467/50653) (-582,18273) (-582,-17691) (608826/1369,-11287095/50653) (161311/361,-2060152/6859) (161311/361,-1004757/6859) (1385169/3025,42300168/166375) (1385169/3025,-118484463/166375) (578380015/443556,-12078082175473/295408296) (578380015/443556,11692881085483/295408296) # # a-invariants: (1, -1, 0, -403083, -97454421) # Cremona label: 882e5 # (-1581/4,1581/8) (-339,552) (19531/25,-1048844/125) (-339,-213) (19531/25,951189/125) (46165321/7225,310078928451/614125) (-75589673001/196084009,2534821992055284/2745764378027) (46165321/7225,-314002980736/614125) (-75589673001/196084009,-1476339801022281/2745764378027) # # a-invariants: (1, -1, 0, 170217, 10295991) # Cremona label: 882e6 # (-237/4,237/8) (13281/25,1944939/125) (247,-8331) (247,8084) (13281/25,-2011344/125) (80430021123/12623809,-22999875544331652/44852393377) (80430021123/12623809,22714107679281633/44852393377) (-3493379/112225,-83198811099/37595375) (-3493379/112225,84369093064/37595375) # # a-invariants: (1, -1, 1, 64, -13597) # Cremona label: 882f1 # (37,177) (37,-215) # # a-invariants: (1, -1, 1, -41096, -3196637) # Cremona label: 882f2 # # # a-invariants: (1, -1, 1, 1, 39) # Cremona label: 882g1 # (-1,6) (-1,-6) (3,-10) (3,6) (11,30) (11,-42) (-3,0) (-3,2) (17,60) (17,-78) (19/9,146/27) (19/9,-230/27) (-13/49,2010/343) (-13/49,-2262/343) (279,-4794) (279,4514) (-169/100,-5109/1000) (-169/100,5799/1000) (2151/529,90958/12167) (2151/529,-152598/12167) (34427/4489,-7738302/300763) (34427/4489,5130930/300763) (-54989/19881,10504078/2803221) (-54989/19881,-5553850/2803221) # # a-invariants: (1, -1, 1, -839, 9559) # Cremona label: 882g2 # (13,20) (13,-34) (17,-8) (17,-10) (79/4,79/8) (79/4,-245/8) (-31,-56) (-31,86) (2869/121,51244/1331) (2869/121,-84134/1331) (9721/576,-107255/13824) (9721/576,-139873/13824) (627733/41209,33559450/8365427) (627733/41209,-169354676/8365427) (1409393/5041,-1712525800/357911) (1409393/5041,1612100986/357911) # # a-invariants: (1, -1, 1, 211, 1397) # Cremona label: 882h1 # (51,-404) (51,352) (9,-68) (9,58) (-3,28) (-3,-26) (-5,16) (-5,-12) (15/4,-397/8) (15/4,359/8) (27,148) (27,-176) (429,8668) (429,-9098) (121,1276) (121,-1398) (411/25,-13024/125) (411/25,10844/125) (9/64,-19633/512) (9/64,19049/512) (-5421/961,95968/29791) (-5421/961,42292/29791) (-23/81,26396/729) (-23/81,-26918/729) (69045/4489,24624658/300763) (69045/4489,-29551436/300763) (236475/2209,110107184/103823) (236475/2209,-121325332/103823) (267063/484,135024877/10648) (267063/484,-140910911/10648) (-5898231/1221025,-18550567238/1349232625) (-5898231/1221025,23718879868/1349232625) (13455429243/286726489,-1748539830698144/4855139638237) (13455429243/286726489,1515843907688188/4855139638237) (148528634265/4844401,57077908773599516/10662526601) (148528634265/4844401,-57404830960143382/10662526601) (560295053803/57558247569,-980411783059278064/13808971849021497) (560295053803/57558247569,832180743967217428/13808971849021497) # # a-invariants: (1, -1, 1, -6404, 199847) # Cremona label: 882h2 # (37,-131) (37,93) (-75,541) (69,-323) (69,253) (51,-89) (-75,-467) (51,37) (261,3901) (261,-4163) (45,13) (9,-383) (45,-59) (9,373) (177,2053) (-3,-467) (-3,469) (177,-2231) (1149/25,1097/125) (1149/25,-6967/125) (445/9,607/27) (-59,637) (79,-467) (445/9,-1969/27) (79,387) (-59,-579) (4965,347293) (4965,-352259) (4029/121,-223417/1331) (4029/121,177767/1331) (159/4,-829/8) (159/4,503/8) (-2169/25,44231/125) (8973/169,-248639/2197) (-2169/25,-33511/125) (8973/169,129793/2197) (17973/289,-1128451/4913) (17973/289,817997/4913) (73761/1681,-4556323/68921) (64509/3481,58671863/205379) (21165/49,-3101237/343) (73761/1681,1463201/68921) (64509/3481,-62683273/205379) (21165/49,2952739/343) (47029/361,-9027633/6859) (47029/361,8127223/6859) (-83459/4761,-179150071/328509) (174385/3721,-12720087/226981) (-83459/4761,184580233/328509) (174385/3721,1855621/226981) (2482209/87616,-5603981773/25934336) (2482209/87616,4843313573/25934336) # # a-invariants: (1, -1, 1, -230, 2769) # Cremona label: 882i1 # (-19,9) # # a-invariants: (1, -1, 1, -4640, 122721) # Cremona label: 882i2 # (155/4,-159/8) # # a-invariants: (1, -1, 1, 1975, -57207) # Cremona label: 882i3 # (23,-12) # # a-invariants: (1, -1, 1, -15665, -614631) # Cremona label: 882i4 # (-181/4,177/8) # # a-invariants: (1, -1, 1, -75200, -7941405) # Cremona label: 882i5 # (317,-159) # # a-invariants: (1, -1, 1, -1204160, -508296477) # Cremona label: 882i6 # (-2533/4,2529/8) # # a-invariants: (1, -1, 1, 10354, -499971) # Cremona label: 882j1 # # # a-invariants: (1, -1, 1, -313781, -67920051) # Cremona label: 882j2 # # # a-invariants: (1, -1, 1, 22, -871) # Cremona label: 882k1 # (9,-5) # # a-invariants: (1, -1, 1, -1238, -15991) # Cremona label: 882k2 # (-69/4,65/8) # # a-invariants: (1, -1, 1, 1093, 296475) # Cremona label: 882l1 # (-61,30) # # a-invariants: (1, -1, 1, -60647, 5606115) # Cremona label: 882l2 # (491/4,-495/8) # # a-invariants: (0, -1, 1, -126, 587) # Cremona label: 885a1 # # # a-invariants: (1, 1, 0, -92, -381) # Cremona label: 885b1 # (-6,3) (-383/64,1587/512) (-383/64,1477/512) (58,411) (58,-469) (484905/30976,219992307/5451776) (-3993590/670761,1691820593/549353259) (-3993590/670761,1578929617/549353259) (484905/30976,-305335587/5451776) # # a-invariants: (1, 1, 0, -97, -344) # Cremona label: 885b2 # (-4,2) (-8,4) (43/4,-43/8) (232,3424) (232,-3656) (-17/4,47/8) (12,-26) (-123/16,541/64) (12,14) (-17/4,-13/8) (-123/16,-49/64) (-19652/3969,2306438/250047) (-1160/169,24172/2197) (8035/484,-668237/10648) (-1160/169,-9092/2197) (3713/64,-240077/512) (-19652/3969,-1068362/250047) (8035/484,491467/10648) (3713/64,210373/512) (9928812/346921,26930102446/204336469) (-65734323/11316496,-197835919559/38068692544) (-65734323/11316496,418966182131/38068692544) (9928812/346921,-32778172714/204336469) (326214875281/20777492736,-167498525640718817/2994950912937984) (326214875281/20777492736,120476608658214353/2994950912937984) # # a-invariants: (1, 1, 0, -472, 3481) # Cremona label: 885b3 # (59/4,-59/8) (0,59) (0,-59) (472/81,-24839/729) (63/4,-193/8) (3717/16,-233699/64) (3717/16,218831/64) (63/4,67/8) (-472/49,-27553/343) (472/81,20591/729) (-472/49,30857/343) (639785/10816,-519572561/1124864) (639785/10816,453034921/1124864) (37747315/1920996,100863928549/2662500456) (37747315/1920996,-153181707139/2662500456) # # a-invariants: (1, 1, 0, 198, -1701) # Cremona label: 885b4 # (27/4,-27/8) (18,-99) (38,231) (18,81) (38,-269) (133/16,1309/64) (133/16,-1841/64) (927/4,27423/8) (927/4,-29277/8) (3638/361,226149/6859) (3638/361,-295271/6859) (108018/961,-37627029/29791) (108018/961,34278471/29791) (14495233/254016,53527985659/128024064) (1123659/81796,-1611715617/23393656) (1123659/81796,1290349143/23393656) (14495233/254016,-60833583091/128024064) (105258464648533/3925930108816,-1303804916875225315859/7778822213887587136) (105258464648533/3925930108816,1095246216054480623791/7778822213887587136) # # a-invariants: (0, 1, 1, -5, -4) # Cremona label: 885c1 # (-2,-2) (-2,1) (4,-8) (4,7) (-3/4,-7/8) (-3/4,-1/8) (64/25,-388/125) (64/25,263/125) (-542/361,7687/6859) (-542/361,-14546/6859) (6001/144,468881/1728) (6001/144,-470609/1728) (9778024/1177225,30563212007/1277289125) (9778024/1177225,-31840501132/1277289125) # # a-invariants: (0, 1, 1, -280, 1684) # Cremona label: 885d1 # (11,7) (11,-8) (26,112) (26,-113) (-19,-23) (29/4,71/8) (8,4) (1,37) (8,-5) (29/4,-79/8) (1,-38) (-4,52) (-4,-53) (-19,22) (281/16,-3227/64) (47,-308) (94/9,-91/27) (599/49,-5459/343) (326,-5888) (94/9,64/27) (281/16,3163/64) (47,307) (599/49,5116/343) (326,5887) (-7696/529,648029/12167) (23309/2809,77549/148877) (1684/289,-85324/4913) (23309/2809,-226426/148877) (737/169,-53327/2197) (-5011/484,631831/10648) (-5011/484,-642479/10648) (-7696/529,-660196/12167) (1684/289,80411/4913) (737/169,51130/2197) (617234/42025,-270655952/8615125) (1476626/108241,-882385552/35611289) (617234/42025,262040827/8615125) (3329849/322624,-196264691/183250432) (1476626/108241,846774263/35611289) (3329849/322624,13014259/183250432) (1029499/8649,-1039549141/804357) (1029499/8649,1038744784/804357) # # a-invariants: (0, 1, 1, -19330, -1040876) # Cremona label: 885d2 # (-323/4,17/8) (-323/4,-25/8) (2393617/7056,-3329738047/592704) (2393617/7056,3329145343/592704) (-2824734549698723/35126697461284,281002486476611630615/208188137726193862952) (-2824734549698723/35126697461284,-489190624202805493567/208188137726193862952) # # a-invariants: (1, -1, 0, -14, 24) # Cremona label: 886a1 # (2,0) (2,-2) (3,-3) (3,0) (-4,4) (-4,0) (25/9,-61/27) (25/9,-14/27) (86/49,-846/343) (86/49,244/343) (435/4,-9471/8) (435/4,8601/8) (8006/3721,-381546/226981) (8006/3721,-106820/226981) (67273/19881,2558462/2803221) (67273/19881,-12043955/2803221) (-669028/203401,621749088/91733851) (-669028/203401,-320017460/91733851) # # a-invariants: (1, 0, 1, -1203, 15950) # Cremona label: 886b1 # (20,-11) (20,-10) (16,21) (16,-38) (261/16,1189/64) (261/16,-2297/64) (69640/3481,-2045505/205379) (69640/3481,-2268634/205379) (823196/25,744831329/125) (823196/25,-748947434/125) # # a-invariants: (1, 1, 0, -283, -1635) # Cremona label: 886c1 # # # a-invariants: (1, -1, 1, -241390, 45705725) # Cremona label: 886d1 # (281,-77) (281,-205) (921,-25037) (921,24115) (6641/25,-82201/125) (6641/25,48871/125) (3169/9,51041/27) (3169/9,-60575/27) (161,3235) (161,-3397) (7329/25,14807/125) (7329/25,-51577/125) (-107839/361,-64442255/6859) (-107839/361,66484337/6859) (-21709399/46225,76247333029/9938375) (-21709399/46225,-71589750619/9938375) (13534679/170569,363526721951/70444997) (13534679/170569,-369186989375/70444997) # # a-invariants: (1, -1, 1, -4, 7) # Cremona label: 886e1 # (1,-3) (1,1) (-1,-3) (-1,3) (7,13) (7,-21) (25/9,47/27) (25/9,-149/27) (-35/16,97/64) (-35/16,-21/64) (593/289,-19071/4913) (593/289,4077/4913) (5359/361,-433847/6859) (5359/361,325167/6859) (-5561/21609,-10211137/3176523) (-5561/21609,7852081/3176523) (233689/511225,597827283/365525875) (233689/511225,-1130440793/365525875) (14238929/222784,-56804270667/105154048) (14238929/222784,49978342131/105154048) # # a-invariants: (0, -1, 0, -200, -1044) # Cremona label: 888a1 # # # a-invariants: (0, 1, 0, -39, -18) # Cremona label: 888b1 # (-3,-9) (6,0) (-3,9) (9,21) (-3/4,-27/8) (-6,-6) (9,-21) (-3/4,27/8) (33,189) (-6,6) (33,-189) (438/49,7092/343) (-19/25,-429/125) (-1011/169,-13365/2197) (537/16,12411/64) (-19/25,429/125) (438/49,-7092/343) (537/16,-12411/64) (-1011/169,13365/2197) (463353,-315404901) (463353,315404901) (-44259/14884,16294053/1815848) (-44259/14884,-16294053/1815848) (149311174/4601025,1818314108632/9869198625) (149311174/4601025,-1818314108632/9869198625) # # a-invariants: (0, 1, 0, -444, -3744) # Cremona label: 888b2 # (-13,0) (-12,0) (24,0) (135,1554) (-600/49,888/343) (135,-1554) (36,-168) (-51/4,21/8) (-600/49,-888/343) (-51/4,-21/8) (36,168) (28617/784,-3803085/21952) (28617/784,3803085/21952) (142168/1089,-53063920/35937) (-53836/4225,-728112/274625) (-53836/4225,728112/274625) (142168/1089,53063920/35937) # # a-invariants: (0, 1, 0, -7104, -232848) # Cremona label: 888b3 # (-49,0) (147,1386) (-9603/196,-99/2744) (147,-1386) (-9603/196,99/2744) (122133001/853776,1028187706195/788889024) (122133001/853776,-1028187706195/788889024) # # a-invariants: (0, 1, 0, -264, -6624) # Cremona label: 888b4 # (60,-444) (60,444) (23,0) (141/4,-1365/8) (141/4,1365/8) (6603/49,533910/343) (4684/9,-320716/27) (3116/121,87468/1331) (6603/49,-533910/343) (4684/9,320716/27) (3116/121,-87468/1331) (118448201/3312400,1060405732749/6028568000) (118448201/3312400,-1060405732749/6028568000) # # a-invariants: (0, -1, 0, -3, -36) # Cremona label: 888c1 # (4,0) (5,-7) (41,-259) (5,7) (41,259) (3109/324,-157213/5832) (520/49,10926/343) (3109/324,157213/5832) (520/49,-10926/343) (2519621/75625,-3931524331/20796875) (2519621/75625,3931524331/20796875) # # a-invariants: (0, -1, 0, -188, -924) # Cremona label: 888c2 # (-7,0) (20,-54) (-8,2) (20,54) (-8,-2) (42,-252) (-370/49,-972/343) (-370/49,972/343) (42,252) (16028/121,2010150/1331) (-4496/625,-32758/15625) (-4496/625,32758/15625) (16028/121,-2010150/1331) (257317/15876,-9796373/2000376) (257317/15876,9796373/2000376) # # a-invariants: (0, 1, 0, -11, -18) # Cremona label: 888d1 # (-2,0) # # a-invariants: (0, 1, 0, 4, -48) # Cremona label: 888d2 # (3,0) # # a-invariants: (1, -1, 0, -5, 1) # Cremona label: 890a1 # (-2,1) (3,1) (3,-4) (0,-1) (0,1) (-8/9,67/27) (7,13) (7,-20) (-8/9,-43/27) (213/16,2549/64) (-66/49,911/343) (-66/49,-449/343) (213/16,-3401/64) (2863/1089,-14260/35937) (808/5041,-181969/357911) (2863/1089,-80219/35937) (808/5041,124601/357911) (86773849/22657600,-767168700913/107850176000) (86773849/22657600,354125179673/107850176000) # # a-invariants: (1, -1, 0, -55, 171) # Cremona label: 890a2 # (19/4,-19/8) (27,120) (27,-147) (5,-4) (5,-1) (73/9,281/27) (775/121,-13741/1331) (73/9,-500/27) (775/121,5216/1331) (154719/28900,-27471393/4913000) (10949/784,823619/21952) (154719/28900,1169163/4913000) (10949/784,-1130191/21952) (26291593/5489649,-24505478420/12862247607) (26291593/5489649,-37095723979/12862247607) # # a-invariants: (1, 0, 1, -9, -4) # Cremona label: 890b1 # (3,-2) (-2,-2) (-1,2) (-1,-2) (-2,3) (4,-8) (23,98) (23,-122) (4,3) (-17/36,43/216) (-69/25,14/125) (-69/25,206/125) (-17/36,-157/216) (3503/361,-236798/6859) (724/121,-21928/1331) (724/121,12633/1331) (3503/361,163382/6859) (-65042/25921,-4493362/4173281) (-18001/28561,-6716978/4826809) (-65042/25921,10791843/4173281) (-18001/28561,4932338/4826809) (13870443/4239481,2981604442/8729091379) (13870443/4239481,-40269937958/8729091379) (4412281/57600,8740169051/13824000) (4412281/57600,-9812940491/13824000) # # a-invariants: (1, 0, 1, -109, -444) # Cremona label: 890b2 # (-25/4,21/8) (-6,2) (-6,3) (16,36) (16,-53) (24,92) (-734/121,2526/1331) (-734/121,4217/1331) (24,-117) (19625/64,-2827521/512) (-5609/900,78871/27000) (19625/64,2670009/512) (-5609/900,62399/27000) (554184/43681,-210269733/9129329) (554184/43681,85315948/9129329) (-4545257526/740329681,39182692899778/20143630290329) (-4545257526/740329681,64345588834827/20143630290329) (18772136666161/244194105600,-85375494624375327089/120670959223296000) (18772136666161/244194105600,75978384610201911329/120670959223296000) # # a-invariants: (1, 1, 0, -418, 3072) # Cremona label: 890c1 # (-24,12) # # a-invariants: (1, 1, 0, -6668, 206822) # Cremona label: 890c2 # (187/4,-187/8) # # a-invariants: (1, 0, 1, -13, 16) # Cremona label: 890d1 # (2,-1) (2,-2) (-4,4) (-4,-1) (67/36,-191/216) (67/36,-427/216) (1316/25,-51101/125) (1316/25,44396/125) (-5632799/2005056,18418950389/2839159296) (-5632799/2005056,-13282066301/2839159296) # # a-invariants: (1, 0, 1, -1138, -14844) # Cremona label: 890e1 # (-19,9) (-20,12) (45,137) (45,-183) (-20,7) (150,-1863) (-3275/169,28989/2197) (150,1712) (-3275/169,11389/2197) (-22405/1156,518943/39304) (65605/441,-17035243/9261) (65605/441,15648277/9261) (-22405/1156,203523/39304) (922494/20449,405514383/2924207) (922494/20449,-540355232/2924207) # # a-invariants: (1, 0, 1, -818, -23292) # Cremona label: 890e2 # (151/4,-155/8) (69,-535) (149,1705) (149,-1855) (69,465) (44,-185) (594,-14760) (594,14165) (44,140) (19429/441,1304365/9261) (589,-14575) (19429/441,-1721635/9261) (589,13985) (25286/169,3770480/2197) (8328/121,-708852/1331) (8328/121,615913/1331) (25286/169,-4101395/2197) (33044069,-189966952535) (33044069,189933908465) (75644899/509796,616569861235/363994344) (75644899/509796,-670944313465/363994344) # # a-invariants: (1, -1, 1, 12, 87) # Cremona label: 890f1 # (5,-19) (5,13) (-3,5) (-3,-3) (1,-11) (1,9) (37,-243) (37,205) (15,-67) (15,51) (-19/25,-1111/125) (-19/25,1081/125) (-155/81,5669/729) (-155/81,-5003/729) (443/49,8441/343) (443/49,-11885/343) (13821/121,1543639/1331) (13821/121,-1697001/1331) (8737/3481,-2699505/205379) (8737/3481,1978643/205379) (281744653/36036009,-6327445142321/216324162027) (281744653/36036009,4419807828335/216324162027) (8887142871931/310232290225,-28959090349917186259/172794732170971625) (8887142871931/310232290225,23836290345223726599/172794732170971625) # # a-invariants: (1, 1, 1, 10, 147) # Cremona label: 890g1 # (-3,-9) (-3,11) (7,-29) (7,21) (27,131) (27,-159) (13/9,317/27) (13/9,-383/27) (37,-249) (37,211) (-5,3) (3/4,-107/8) (3/4,93/8) (-5,1) (4503/529,-431693/12167) (1341,-49801) (-1553/441,95591/9261) (4503/529,315957/12167) (4837/841,428819/24389) (4837/841,-593481/24389) (-623/256,-40929/4096) (-623/256,46801/4096) (1341,48459) (-1553/441,-72239/9261) (202110950671/603439225,88546496720851911/14823484562125) (202110950671/603439225,-93526175708647151/14823484562125) # # a-invariants: (1, 1, 1, -2040, -38093) # Cremona label: 890g2 # (1915/36,12823/216) (1915/36,-24529/216) (67368820545889/50226188544,-560447829641186811113/11256291566972928) (67368820545889/50226188544,545338412239439562617/11256291566972928) # # a-invariants: (1, -1, 1, -52, 151) # Cremona label: 890h1 # (1,9) (1,-11) (5,-3) # # a-invariants: (1, -1, 1, -132, -361) # Cremona label: 890h2 # (-3,1) (-37/4,33/8) (13,-7) # # a-invariants: (1, -1, 1, -1912, -31689) # Cremona label: 890h3 # (-101/4,97/8) # # a-invariants: (1, -1, 1, 368, -2761) # Cremona label: 890h4 # (27/4,-31/8) (29,-193) (29,163) # # a-invariants: (1, -1, 1, 7, 10) # Cremona label: 891a1 # (2,4) (2,-7) (-1,1) (-1,-1) (40/9,218/27) (40/9,-365/27) (155/4,-2075/8) (155/4,1757/8) (1304/2401,353534/117649) (1304/2401,-535079/117649) (-9953/25281,9507281/4019679) (-9953/25281,-11944433/4019679) (16454786/1525225,-77953466989/1883652875) (16454786/1525225,55748153404/1883652875) # # a-invariants: (0, 0, 1, 6, -15) # Cremona label: 891b1 # (3,-6) (3,5) # # a-invariants: (0, 0, 1, -324, -2248) # Cremona label: 891b2 # # # a-invariants: (1, -1, 0, 66, -343) # Cremona label: 891c1 # # # a-invariants: (1, -1, 0, -339, 2492) # Cremona label: 891d1 # # # a-invariants: (1, -1, 0, 876, -154729) # Cremona label: 891d2 # # # a-invariants: (0, 0, 1, -81, -304) # Cremona label: 891e1 # # # a-invariants: (0, 0, 1, -36, 83) # Cremona label: 891f1 # (3,-2) (3,1) # # a-invariants: (0, 0, 1, 54, 398) # Cremona label: 891f2 # # # a-invariants: (1, -1, 1, -38, -80) # Cremona label: 891g1 # # # a-invariants: (1, -1, 1, 97, 5698) # Cremona label: 891g2 # # # a-invariants: (0, 0, 1, -9, 11) # Cremona label: 891h1 # # # a-invariants: (0, 0, 0, -415, 3254) # Cremona label: 892a1 # # # a-invariants: (0, 1, 0, -188, 932) # Cremona label: 892b1 # (8,2) (8,-2) (29/4,13/8) (-16,-10) (64/9,-62/27) (29/4,-13/8) (64/9,62/27) (-16,10) (68152/8649,1124614/804357) (22097/2704,-402241/140608) (19544/25,2733578/125) (68152/8649,-1124614/804357) (19544/25,-2733578/125) (22097/2704,402241/140608) # # a-invariants: (0, 1, 0, -388, -1580) # Cremona label: 892b2 # (-27/4,223/8) (-27/4,-223/8) (561/16,10927/64) (561/16,-10927/64) (-635/36,2015/216) (-635/36,-2015/216) (4039809/153664,5068857569/60236288) (4039809/153664,-5068857569/60236288) (457103736049/584672400,-309144340694001743/14137378632000) (457103736049/584672400,309144340694001743/14137378632000) # # a-invariants: (0, -1, 0, -12, -8) # Cremona label: 892c1 # (-2,-2) (-2,2) (6,10) (6,-10) (-3/4,1/8) (-3/4,-1/8) (166/25,-1586/125) (166/25,1586/125) (-1538/729,-36694/19683) (-1538/729,36694/19683) (19921/16,-2810545/64) (19921/16,2810545/64) (86401446/15721225,490205292706/62334657125) (86401446/15721225,-490205292706/62334657125) # # a-invariants: (1, 1, 0, -18630, 971028) # Cremona label: 894a1 # (81,-81) (81,0) (77,-60) (77,-17) (-2187/16,-59211/64) (-2187/16,67959/64) (136093/1849,2868541/79507) (136093/1849,-8720540/79507) # # a-invariants: (1, 1, 0, -59, -201) # Cremona label: 894b1 # (-5,3) (-5,2) (21,81) (21,-102) (-3197/676,33513/17576) (-3197/676,49609/17576) (284773/33489,-35863306/6128487) (284773/33489,-16250153/6128487) # # a-invariants: (1, 0, 1, -407, -268) # Cremona label: 894c1 # (30,-137) (30,106) # # a-invariants: (1, 0, 1, -23492, -1387798) # Cremona label: 894c2 # # # a-invariants: (1, 0, 1, -13, -16) # Cremona label: 894d1 # (-2,2) (-2,-1) (4,-1) (4,-4) (-9/4,17/8) (-9/4,-7/8) (148,1727) (148,-1876) (-1106/625,25847/15625) (-1106/625,-13822/15625) (10417/2304,-861217/110592) (10417/2304,250609/110592) # # a-invariants: (1, 1, 1, -38, -15325) # Cremona label: 894e1 # (33,127) (33,-161) (65,-545) (65,479) (321,-5921) (321,5599) (25,-25) (25,-1) (213,3007) (213,-3221) (2009/25,84067/125) (2009/25,-94237/125) (40857/1369,-6154109/50653) (40857/1369,4591747/50653) (55945/9,-13317755/27) (55945/9,13149893/27) (82239/2209,17881037/103823) (82239/2209,-21850093/103823) (47527569695/465308041,-10849261278321071/10037159752411) (47527569695/465308041,9814006912677815/10037159752411) # # a-invariants: (1, 1, 1, -42, 87) # Cremona label: 894f1 # (3,-3) (3,-1) (5,3) (5,-9) (-3,-13) (-3,15) (31/9,-61/27) (31/9,-59/27) (-9/4,-101/8) (-9/4,111/8) (263/49,-3639/343) (263/49,1455/343) (2565/841,-69441/24389) (2565/841,-29333/24389) (11917/9,-1319407/27) (11917/9,1283629/27) (123531/42025,-27383061/8615125) (123531/42025,-6555919/8615125) (845393/179776,153952461/76225024) (845393/179776,-588624117/76225024) # # a-invariants: (1, 0, 0, -247, 809) # Cremona label: 894g1 # (2,17) (2,-19) (38,-235) (38,197) (-10,-43) (-10,53) (14,-19) (14,5) (-16,-19) (-16,35) (20,-73) (20,53) (-2,-35) (-2,37) (182,-2539) (182,2357) (86/25,1/125) (86/25,-431/125) (122,1277) (122,-1399) (-13/4,-305/8) (-13/4,331/8) (890/49,-19909/343) (890/49,13679/343) (-2026/121,34975/1331) (-2026/121,-12689/1331) (1174/81,7885/729) (1174/81,-18451/729) (-4450/529,-533501/12167) (-4450/529,635851/12167) (13412/289,-1586555/4913) (13412/289,1358551/4913) (2432/961,385427/29791) (2432/961,-460819/29791) (91934/25,-28105487/125) (91934/25,27645817/125) (81878/61009,320168051/15069223) (81878/61009,-340391917/15069223) (2462249/179776,-27116695/76225024) (2462249/179776,-1016876881/76225024) # # a-invariants: (1, 0, 0, -6, 5) # Cremona label: 895a1 # (1,-1) (1,0) (4,-9) (4,5) (-5/9,-70/27) (-5/9,85/27) (319/196,-3485/2744) (319/196,-981/2744) (-4829/1681,152055/68921) (-4829/1681,45934/68921) (374116/216225,-12635131/100544625) (374116/216225,-161328809/100544625) # # a-invariants: (1, -1, 1, -183, 352) # Cremona label: 895b1 # # # a-invariants: (0, 0, 0, -10, -12) # Cremona label: 896a1 # (-2,0) (6,-12) (-7/4,3/8) (6,12) (-7/4,-3/8) (673/144,11377/1728) (-1634/961,-8808/29791) (673/144,-11377/1728) (-1634/961,8808/29791) (-6808519/3422500,-909593379/6331625000) (-6808519/3422500,909593379/6331625000) # # a-invariants: (0, 0, 0, -20, 16) # Cremona label: 896a2 # (4,0) (0,-4) (0,4) (-3,-7) (-3,7) (148/9,-1736/27) (25/4,-93/8) (148/9,1736/27) (25/4,93/8) (1101/1369,33425/50653) (-2976/625,-28268/15625) (1101/1369,-33425/50653) (-2976/625,28268/15625) (688225/138384,-323711983/51478848) (688225/138384,323711983/51478848) # # a-invariants: (0, 0, 0, -5, 2) # Cremona label: 896b1 # (2,0) (-2,-2) (-2,2) (1/4,-7/8) (1/4,7/8) (113/16,-1143/64) (274/81,-3556/729) (113/16,1143/64) (274/81,3556/729) (-5474/21025,5524774/3048625) (-5474/21025,-5524774/3048625) # # a-invariants: (0, 0, 0, -40, -96) # Cremona label: 896b2 # (-4,0) (28,144) (-15/4,-9/8) (-15/4,9/8) (28,-144) (10945/1296,-605663/46656) (10945/1296,605663/46656) # # a-invariants: (0, 0, 0, -5, -2) # Cremona label: 896c1 # (-2,0) # # a-invariants: (0, 0, 0, -40, 96) # Cremona label: 896c2 # (4,0) # # a-invariants: (0, 0, 0, -10, 12) # Cremona label: 896d1 # (2,0) (3,-3) (4,-6) (4,6) (3,3) (73/36,53/216) (74,636) (73/36,-53/216) (74,-636) (12532/5041,-566370/357911) (7491/1225,574461/42875) (12532/5041,566370/357911) (7491/1225,-574461/42875) (7522273/404496,-20350214063/257259456) (7522273/404496,20350214063/257259456) (3736280734711561/1617026658552900,-72113109137076586107691/65024312590927024083000) (3736280734711561/1617026658552900,72113109137076586107691/65024312590927024083000) # # a-invariants: (0, 0, 0, -20, -16) # Cremona label: 896d2 # (-4,0) (10,-28) (-2,-4) (10,28) (-2,4) (5,-3) (-8/9,-28/27) (-8/9,28/27) (5,3) (-146/49,1420/343) (586/25,-13916/125) (-146/49,-1420/343) (586/25,13916/125) (2665/36,137323/216) (-10228/2809,-435288/148877) (-10228/2809,435288/148877) (2665/36,-137323/216) (-186482/152881,-153345196/59776471) (-186482/152881,153345196/59776471) (40763381/6175225,-181322797221/15345434125) (-88950824/65464281,1559317788980/529671497571) (40763381/6175225,181322797221/15345434125) (-88950824/65464281,-1559317788980/529671497571) # # a-invariants: (1, 1, 0, -97, 5560) # Cremona label: 897a1 # (-20,10) # # a-invariants: (1, 1, 0, -5362, 147715) # Cremona label: 897a2 # (155/4,-155/8) # # a-invariants: (1, 1, 1, -52, 164) # Cremona label: 897b1 # (4,4) (4,-9) (-9,4) # # a-invariants: (1, 1, 1, -897, 9966) # Cremona label: 897b2 # (67/4,-71/8) (-35,17) (17,-9) # # a-invariants: (1, 1, 1, -962, 8354) # Cremona label: 897b3 # (-141/4,137/8) # # a-invariants: (1, 1, 1, -14352, 655806) # Cremona label: 897b4 # (275/4,-279/8) # # a-invariants: (1, 1, 1, -19, -40) # Cremona label: 897c1 # (-3,1) (-26/9,22/27) (-26/9,29/27) (6,-14) (6,7) (-18759/6400,402149/512000) (5077/441,293341/9261) (-18759/6400,586571/512000) (5077/441,-409219/9261) (345287526/5909761,6039633905326/14366628991) (345287526/5909761,-6893394510023/14366628991) # # a-invariants: (1, 1, 1, -24, -24) # Cremona label: 897c2 # (-1,0) (19/4,-23/8) (-5,2) (-32/9,-115/27) (-2,5) (-2,-4) (8,15) (8,-24) (-32/9,184/27) (22,92) (22,-115) (2251/49,-115690/343) (-149/100,-3031/1000) (55/9,184/27) (-149/100,3521/1000) (-271/64,3243/512) (55/9,-376/27) (-271/64,-1587/512) (2251/49,99590/343) (102118/20449,2411044/2924207) (67832/289,17130735/4913) (67832/289,-18288792/4913) (102118/20449,-19938125/2924207) (-74768/68121,27398152/17779581) (-74768/68121,-25663285/17779581) (32687281/2822400,-208829525969/4741632000) (32687281/2822400,149173261889/4741632000) # # a-invariants: (1, 1, 1, -219, 1146) # Cremona label: 897c3 # (3,-25) (35/4,-39/8) (3,21) (11,9) (117/16,-427/64) (211/9,-2975/27) (117/16,-105/64) (-57/4,375/8) (11,-21) (211/9,2315/27) (-57/4,-269/8) (-28197/3481,10929415/205379) (8659/900,-334933/27000) (146465/3136,-58472163/175616) (8659/900,48163/27000) (-28197/3481,-9471171/205379) (146465/3136,50094507/175616) (12392481091/1393006329,-136159755981965/51991175217267) (12392481091/1393006329,-378355990994695/51991175217267) # # a-invariants: (1, 1, 1, 91, -70) # Cremona label: 897c4 # (3/4,-7/8) (30,160) (4,-22) (4,17) (30,-191) (49/9,-763/27) (21,97) (49/9,589/27) (21,-119) (940,-29311) (940,28370) (246/289,-19816/4913) (246/289,10721/4913) (222699/4900,-116729633/343000) (1657/576,181769/13824) (222699/4900,100797703/343000) (1657/576,-235361/13824) (4618862689/19686969,304711897642811/87351081453) (4618862689/19686969,-325293142475357/87351081453) # # a-invariants: (1, 0, 1, 130884, -59725523) # Cremona label: 897d1 # (283,-142) (2987,-165762) (6725/16,-547353/64) (6725/16,520389/64) (2987,162774) (1115,37818) (46673/64,-10725957/512) (46673/64,10352061/512) (1115,-38934) (121853/16,-42825303/64) (3011051/9025,-4082472486/857375) (3011051/9025,3795565266/857375) (121853/16,42337827/64) (129309137/430336,-776355897231/282300416) (129309137/430336,691246802943/282300416) # # a-invariants: (1, 0, 1, -1725581, -795628249) # Cremona label: 897d2 # (-2265/4,2261/8) (-627,6631) (-627,-6005) (12009,1301821) (12009,-1313831) (49989/16,-10079291/64) (49989/16,9879271/64) (-3093/4,73055/8) (-3093/4,-66877/8) (-327435/361,36371473/6859) (41889/25,3883277/125) (41889/25,-4092847/125) (-327435/361,-30157067/6859) (-6221913/6724,-1400884967/551368) (99921/64,8709563/512) (99921/64,-9509443/512) (-6221913/6724,1910530465/551368) (-39843/49,-2731175/343) (-39843/49,3009733/343) (1107034941/144400,-36466636158601/54872000) (1107034941/144400,36045908009021/54872000) # # a-invariants: (1, 0, 0, -19602, 1069443) # Cremona label: 897e1 # (81,-162) (-162,81) (81,81) (-54,1431) (2511/25,36369/125) (63,-324) (2511/25,-48924/125) (1539/4,-58401/8) (63,261) (-54,-1377) (1539/4,55323/8) (201,2193) (81/121,-1368414/1331) (81/121,1367523/1331) (201,-2394) (7857/64,336717/512) (1134/25,-68283/125) (1134/25,62613/125) (7857/64,-399573/512) (183891/2116,-19361259/97336) (-975969/7225,730014849/614125) (4878063/2401,10630082709/117649) (4878063/2401,-10869107796/117649) (183891/2116,10902273/97336) (-975969/7225,-647057484/614125) (1117520634271/6476225625,832171042425033644/521174257171875) (1117520634271/6476225625,-922103515467992369/521174257171875) # # a-invariants: (1, 0, 0, -314847, 67971960) # Cremona label: 897e2 # (324,-162) (-648,324) (1295/4,-1295/8) (8019/25,-7938/125) (405,-2835) (405,2430) (249,-2367) (327,-66) (249,2118) (8019/25,-32157/125) (327,-261) (8136/25,-26424/125) (1971/4,-47601/8) (180,-4230) (1971/4,43659/8) (8136/25,-14256/125) (5157/16,-7209/64) (180,4050) (5157/16,-13419/64) (8127,726894) (93645/289,-810315/4913) (777249/2401,-19385703/117649) (777249/2401,-18699498/117649) (-13509/25,1154574/125) (-13509/25,-1087029/125) (8127,-735021) (93645/289,-781650/4913) (44004/121,-1926702/1331) (528201/1600,1944729/64000) (44004/121,1442658/1331) (528201/1600,-23072769/64000) (5231245/7569,-9077724670/658503) (276442811/855625,-146999860834/791453125) (5231245/7569,8622606355/658503) (276442811/855625,-108709739341/791453125) (35710954056/17347225,-6594957654810624/72251192125) (35710954056/17347225,6446221531167384/72251192125) # # a-invariants: (1, 0, 0, -316062, 67420593) # Cremona label: 897e3 # (-2593/4,2593/8) (1071,-31482) (-99,-9837) (-99,9936) (1071,30411) (408,2331) (6144/25,-283563/125) (6144/25,252843/125) (408,-2739) (291,186) (103209/289,866043/4913) (103209/289,-2620596/4913) (291,-477) (2853/16,256149/64) (2853/16,-267561/64) (49419/100,-5902173/1000) (49419/100,5407983/1000) (-3101/9,-309578/27) (-3101/9,318881/27) (2069801/841,2876101492/24389) (2069801/841,-2936125721/24389) (-32451984/60025,-127842919821/14706125) (2348712/289,-3611143917/4913) (2348712/289,3571215813/4913) (-32451984/60025,135793655901/14706125) (71592321/193600,75420064461/85184000) (71592321/193600,-106920685701/85184000) # # a-invariants: (1, 0, 0, -5037552, 4351465395) # Cremona label: 897e4 # (5183/4,-5183/8) (1302,-261) (32394/25,-80907/125) (32394/25,-81063/125) (1302,-1041) (518301/400,-5184261/8000) (5283/4,7227/8) (518301/400,-5181759/8000) (5283/4,-17793/8) (205866/25,-90763551/125) (899106678/693889,-374478473097/578009537) (899106678/693889,-374477389677/578009537) (205866/25,89734221/125) # # a-invariants: (1, 0, 0, 0, -9) # Cremona label: 897f1 # (2,-1) (15,-66) (15,51) (3,3) (3,-6) (34/9,-239/27) (149/16,-2131/64) (34/9,137/27) (149/16,1535/64) (10299/49,1009758/343) (10299/49,-1081851/343) (3179977/1272384,-5896425569/1435249152) (3179977/1272384,2309411513/1435249152) # # a-invariants: (1, 0, 0, -65, -204) # Cremona label: 897f2 # (-17/4,17/8) (-5,1) (-5,4) (13,28) (13,-41) (16,-62) (-44/9,112/27) (16,46) (-44/9,20/27) (841,23971) (-209/49,580/343) (841,-24812) (-209/49,883/343) (-45005/8836,3105109/830584) (1597/144,27877/1728) (1597/144,-47041/1728) (-45005/8836,1125361/830584) (1568521/75625,-2014048756/20796875) (1568521/75625,1582705481/20796875) (-205392620/47651409,990849065608/328937676327) (-205392620/47651409,426976190252/328937676327) # # a-invariants: (1, 0, 1, -202, 1084) # Cremona label: 898a1 # (8,-5) (8,-4) (14,-40) (14,25) (223/36,-2749/216) (223/36,1195/216) (35486/4225,-904136/274625) (35486/4225,-1677079/274625) (4574104369/559984896,-62417298360065/13251482578944) (4574104369/559984896,-59075790006895/13251482578944) # # a-invariants: (1, 1, 0, -451, 3789) # Cremona label: 898b1 # # # a-invariants: (1, 1, 1, -12, -19) # Cremona label: 898c1 # (-3,1) # # a-invariants: (1, 1, 1, -52, 109) # Cremona label: 898c2 # (19/4,-23/8) # # a-invariants: (1, 1, 1, -4, -3) # Cremona label: 898d1 # (-1,-1) (-1,1) (3,3) (3,-7) (-9/4,7/8) (-9/4,3/8) (59/25,167/125) (59/25,-587/125) (-521/441,12109/9261) (-521/441,-10429/9261) (9617/64,908221/512) (9617/64,-985669/512) (14446059/3553225,-73354943043/6697829125) (14446059/3553225,39426292703/6697829125) # # a-invariants: (1, 0, 1, -3, -1) # Cremona label: 899a1 # (-1,1) (-1,-1) (7/4,-19/8) (7/4,-3/8) (-57/121,-1171/1331) (-57/121,467/1331) (10801/1024,-1312057/32768) (10801/1024,933657/32768) (-1732201/1155625,-233359307/1242296875) (-1732201/1155625,853178507/1242296875) (1143037351/324648324,22451358112093/5849513501832) (1143037351/324648324,-48896118604243/5849513501832) # # a-invariants: (0, 1, 1, -2, 1) # Cremona label: 899b1 # # # a-invariants: (0, 0, 0, 0, 12500) # Cremona label: 900a1 # # # a-invariants: (0, 0, 0, 0, -337500) # Cremona label: 900a2 # # # a-invariants: (0, 0, 0, 0, 125) # Cremona label: 900b1 # (-5,0) # # a-invariants: (0, 0, 0, -375, 2750) # Cremona label: 900b2 # (10,0) # # a-invariants: (0, 0, 0, 0, -3375) # Cremona label: 900b3 # (15,0) # # a-invariants: (0, 0, 0, -3375, -74250) # Cremona label: 900b4 # (-30,0) # # a-invariants: (0, 0, 0, 0, 100) # Cremona label: 900c1 # (0,10) (0,-10) (20,-90) (-4,6) (-4,-6) (5,15) (5,-15) (20,90) (24,-118) (40/9,370/27) (-15/4,-55/8) (40/9,-370/27) (24,118) (-15/4,55/8) (2660,137190) (-19/49,-3429/343) (-19/49,3429/343) (140/361,68610/6859) (2660,-137190) (140/361,-68610/6859) (-51920/12321,6861590/1367631) (32745/1936,5986315/85184) (19536/3481,-3416734/205379) (-51920/12321,-6861590/1367631) (19536/3481,3416734/205379) (32745/1936,-5986315/85184) # # a-invariants: (0, 0, 0, 0, -2700) # Cremona label: 900c2 # (21,-81) (21,81) (889/36,-24013/216) (889/36,24013/216) (47052741/17689,322758256311/2352637) (47052741/17689,-322758256311/2352637) (1520514457441/83033880336,1403445328242729839/23926710822100416) (1520514457441/83033880336,-1403445328242729839/23926710822100416) # # a-invariants: (0, 0, 0, -120, 740) # Cremona label: 900d1 # (16,-54) (16,54) (4,18) (4,-18) (-11,-27) (-11,27) (-4,34) (-4,-34) (184/25,-1998/125) (184/25,1998/125) (169/4,2133/8) (169/4,-2133/8) (4456/49,-295434/343) (4456/49,295434/343) (2636/289,-98786/4913) (2636/289,98786/4913) (-4259/5041,10378071/357911) (-4259/5041,-10378071/357911) (-443276/34225,-69807618/6331625) (-443276/34225,69807618/6331625) # # a-invariants: (0, 0, 0, -10920, 439220) # Cremona label: 900d2 # (61,-9) (61,9) (241/4,-9/8) (241/4,9/8) (-11,747) (-11,-747) (881/16,-4471/64) (881/16,4471/64) (544549/9025,-176157/857375) (544549/9025,176157/857375) (-1352834474432879/13829994076900,38878575328480415618169/51431950072761103000) (-1352834474432879/13829994076900,-38878575328480415618169/51431950072761103000) # # a-invariants: (0, 0, 0, -300, -1375) # Cremona label: 900e1 # (-5,0) (40,225) (40,-225) (-10,25) (-10,-25) (-14,-9) (20,25) (-14,9) (20,-25) (-65/9,550/27) (385/4,-7425/8) (-65/9,-550/27) (385/4,7425/8) (284,4777) (-1670/289,63225/4913) (-1670/289,-63225/4913) (284,-4777) (-30610/2401,2285975/117649) (89440/3721,16526475/226981) (89440/3721,-16526475/226981) (-30610/2401,-2285975/117649) (467905/17424,229240225/2299968) (467905/17424,-229240225/2299968) # # a-invariants: (0, 0, 0, 825, -9250) # Cremona label: 900e2 # (10,0) (35,-250) (35,250) (55,450) (55,-450) (1135,-38250) (11,34) (1135,38250) (11,-34) (3385/36,204875/216) (2830/121,-201150/1331) (2830/121,201150/1331) (3385/36,-204875/216) (81851/289,-23532626/4913) (81851/289,23532626/4913) (145516235/8934121,-2463196148750/26704087669) (145516235/8934121,2463196148750/26704087669) # # a-invariants: (0, 0, 0, -9300, 345125) # Cremona label: 900e3 # (55,0) (265/4,-1125/8) (265/4,1125/8) (35,-250) (35,250) (-89,-684) (-89,684) (905/16,-475/64) (905/16,475/64) (425665/3844,195537375/238328) (242635/4761,-19522250/328509) (242635/4761,19522250/328509) (425665/3844,-195537375/238328) (6694961/23104,16465282391/3511808) (6694961/23104,-16465282391/3511808) # # a-invariants: (0, 0, 0, -8175, 431750) # Cremona label: 900e4 # (-110,0) (185/4,3125/8) (70,-450) (70,450) (185/4,-3125/8) (410290/361,-262012500/6859) (410290/361,262012500/6859) (-1399/16,-44251/64) (-1399/16,44251/64) (1952709385/18301284,68888486321875/78292892952) (1952709385/18301284,-68888486321875/78292892952) # # a-invariants: (0, 0, 0, -3000, 92500) # Cremona label: 900f1 # # # a-invariants: (0, 0, 0, -273000, 54902500) # Cremona label: 900f2 # (300,50) (300,-50) # # a-invariants: (0, 0, 0, -3000, -59375) # Cremona label: 900g1 # (-25,0) # # a-invariants: (0, 0, 0, 2625, -256250) # Cremona label: 900g2 # (50,0) # # a-invariants: (0, 0, 0, -120, -475) # Cremona label: 900h1 # (-5,0) # # a-invariants: (0, 0, 0, 105, -2050) # Cremona label: 900h2 # (10,0) # # a-invariants: (1, -1, 1, -85, -220) # Cremona label: 901a1 # (-3,1) (-4,8) (50,-370) (-4,-5) (50,319) (2409/169,-96569/2197) (2409/169,63055/2197) (-17705/2916,1417645/157464) (-17705/2916,-619039/157464) # # a-invariants: (1, -1, 1, 180, -1492) # Cremona label: 901a2 # (27/4,-31/8) (49,-376) (49,326) (2369/169,116154/2197) (2369/169,-149148/2197) (5510911/492804,12697510177/345948408) (5510911/492804,-16912118107/345948408) # # a-invariants: (1, 1, 1, -29598, 1947602) # Cremona label: 901b1 # (99,-50) (90,-197) (838/9,-3947/27) (90,106) (838/9,1406/27) (4943493/784,10919166931/21952) (4943493/784,-11057606687/21952) # # a-invariants: (1, 1, 1, -29863, 1910608) # Cremona label: 901b2 # (-797/4,793/8) (757/9,265/27) (757/9,-2563/27) # # a-invariants: (0, 1, 1, -17, 7) # Cremona label: 901c1 # (5,-9) (5,8) # # a-invariants: (0, 1, 1, -697, -7320) # Cremona label: 901c2 # # # a-invariants: (1, -1, 1, -346, -68922) # Cremona label: 901d1 # # # a-invariants: (0, 0, 1, -1507, 4209) # Cremona label: 901e1 # (-23/4,897/8) (-23/4,-905/8) (809/16,-15349/64) (809/16,15285/64) (-159/4,285/8) (-159/4,-293/8) (4137/64,215083/512) (4137/64,-215595/512) (-151/100,-81007/1000) (-151/100,80007/1000) (33313/16,-6079215/64) (33313/16,6079151/64) (82904028489/922944400,-21617052135775013/28039050872000) (82904028489/922944400,21589013084903013/28039050872000) (4264394929748321/8184130867264,-277716872982368883972753/23413096112021913088) (4264394929748321/8184130867264,277693459886256862059665/23413096112021913088) # # a-invariants: (0, -1, 1, -4, -2) # Cremona label: 901f1 # (-1,0) (-1,-1) (4,-6) (4,5) (-14/25,-66/125) (-14/25,-59/125) (449/121,5395/1331) (449/121,-6726/1331) (-12611/12996,-1519309/1481544) (-12611/12996,37765/1481544) (1471541/1225,1784316486/42875) (1471541/1225,-1784359361/42875) (77321347504/17777155561,-16946345237351081/2370245928103691) (77321347504/17777155561,14576099309247390/2370245928103691) # # a-invariants: (1, 0, 1, -2382, 77312) # Cremona label: 902a1 # (5,-259) (5,253) (10,228) (10,-239) (239229/25,-117607543/125) (239229/25,116411273/125) # # a-invariants: (1, 0, 0, -64, 192) # Cremona label: 902b1 # (4,0) (4,-4) # # a-invariants: (1, 0, 0, 76, 892) # Cremona label: 902b2 # # # a-invariants: (0, 1, 1, 7, 2) # Cremona label: 903a1 # (4,10) (4,-11) (0,-2) (0,1) (1/16,-137/64) (1/16,73/64) (40/9,-334/27) (40/9,307/27) (2524,126829) (2524,-126830) (5769/1600,566203/64000) (5769/1600,-630203/64000) # # a-invariants: (0, 1, 1, -43, -43484) # Cremona label: 903b1 # (56,364) (56,-365) # # a-invariants: (0, 1, 1, -94813, -11269355) # Cremona label: 903b2 # (533,-9482) (533,9481) # # a-invariants: (0, 1, 1, -7680013, -8194581338) # Cremona label: 903b3 # # # a-invariants: (0, 0, 0, -35, 78) # Cremona label: 904a1 # (3,0) (2,4) (11,32) (11,-32) (2,-4) (273/64,1287/512) (-269/81,-9152/729) (-269/81,9152/729) (273/64,-1287/512) (-122686/21025,-27865012/3048625) (-122686/21025,27865012/3048625) (2818861633/424030464,102986295130783/8731635314688) (2818861633/424030464,-102986295130783/8731635314688) # # a-invariants: (0, 0, 0, 5, 246) # Cremona label: 904a2 # (-6,0) (17/16,-1017/64) (10,36) (10,-36) (17/16,1017/64) (463098/20449,-319980744/2924207) (-10655/5184,-5624047/373248) (-10655/5184,5624047/373248) (463098/20449,319980744/2924207) # # a-invariants: (1, 1, 0, -18, 23) # Cremona label: 905a1 # (2,-1) (22/9,-5/27) (-1/4,-41/8) (22/9,-61/27) (-1/4,43/8) (65857/28224,-8916221/4741632) (65857/28224,-2147755/4741632) (21442130326/88454025,-3248238685744691/831910105125) (21442130326/88454025,3046575450028661/831910105125) # # a-invariants: (1, 1, 0, -13, 42) # Cremona label: 905a2 # (-21/4,21/8) (-2/9,184/27) (6,12) (-2/9,-178/27) (6,-18) (4029/784,-319761/21952) (7/36,-1379/216) (7/36,1337/216) (4029/784,206949/21952) (1965934/2025,2713992362/91125) (-226794/43681,40105398/9129329) (-226794/43681,7294548/9129329) (1965934/2025,-2802459392/91125) # # a-invariants: (1, 0, 1, -388, -2969) # Cremona label: 905b1 # # # a-invariants: (1, 1, 0, 3395, -211907) # Cremona label: 906a1 # (394/9,3505/27) (394/9,-4687/27) (7573/9,-672334/27) (7573/9,649615/27) # # a-invariants: (1, 1, 0, -16, -32) # Cremona label: 906b1 # (-3,1) (-3,2) (17,-79) (17,62) (-1059/400,4579/8000) (-1059/400,16601/8000) (97537/19881,-24082418/2803221) (97537/19881,10329701/2803221) # # a-invariants: (1, 0, 1, 54, 64) # Cremona label: 906c1 # (2,-15) (2,12) (29,147) (-1,-3) (-1,3) (29,-177) (11,-51) (11,39) (-4/25,-984/125) (-4/25,879/125) (92,-933) (23/4,-219/8) (92,840) (23/4,165/8) (7631/49,-694779/343) (379/81,12997/729) (221/961,-279411/29791) (7631/49,641019/343) (379/81,-17137/729) (221/961,242769/29791) (177746/13225,75984699/1520875) (177746/13225,-97946364/1520875) (-72823/65536,-26258523/16777216) (-72823/65536,28123995/16777216) (-15131526212/18388173609,-11093776248474856/2493491505901227) (-15131526212/18388173609,10652165091499465/2493491505901227) # # a-invariants: (1, 0, 1, -621, -7064) # Cremona label: 906c2 # (44,204) (44,-249) (35,-138) (547/9,10642/27) (547/9,-12310/27) (35,102) (1403,51846) (1403,-53250) (295214/841,-164332941/24389) (295214/841,155747346/24389) (9359/100,822657/1000) (99166/3249,-12477958/185193) (99166/3249,6640303/185193) (9359/100,-917247/1000) (597471715/3814209,-15003670524506/7449150177) (597471715/3814209,13829359114934/7449150177) # # a-invariants: (1, 0, 1, -52716, -4662998) # Cremona label: 906c3 # (12697/9,-1429619/27) (12697/9,1391501/27) (105782305831/273240900,-26818713115961411/4516672077000) (105782305831/273240900,25065614928497981/4516672077000) # # a-invariants: (1, 0, 1, -1715, 27182) # Cremona label: 906d1 # (24,-14) (24,-11) (381/16,-791/64) (12,-98) (20,-42) (12,85) (20,21) (381/16,-797/64) (13065/64,1413167/512) (94768/3969,-3223450/250047) (90816/3721,-4009358/226981) (13065/64,-1518199/512) (90816/3721,-1757399/226981) (94768/3969,-2996981/250047) # # a-invariants: (1, 0, 1, -1970, 18500) # Cremona label: 906d2 # (-22,237) (-22,-216) (406/9,-4624/27) (406/9,3379/27) (125/16,-4125/64) (125/16,3561/64) (2687902/25281,3831616031/4019679) (2687902/25281,-4263012128/4019679) (193220257105/945193536,80070480004980725/29059030070784) (193220257105/945193536,-86039902619487629/29059030070784) # # a-invariants: (1, 1, 1, -40466325, 99063769563) # Cremona label: 906e1 # # # a-invariants: (1, 1, 1, -11, -19) # Cremona label: 906f1 # # # a-invariants: (1, 1, 1, -21, -45) # Cremona label: 906g1 # (-3,0) (-3,2) (5,0) (5,-6) (-51/16,9/64) (-51/16,131/64) (1021/9,31232/27) (1021/9,-34322/27) (1485713/238144,846216075/116214272) (1485713/238144,-1687458291/116214272) # # a-invariants: (1, 0, 0, -152, 576) # Cremona label: 906h1 # (-8,-32) (-8,40) (16,-56) (16,40) (4,-8) (4,4) (10,4) (10,-14) (0,-24) (0,24) (64,472) (64,-536) (-14,10) (-14,4) (52,-392) (52,340) (16/25,2696/125) (16/25,-2776/125) (88/9,-320/27) (88/9,56/27) (61/16,355/64) (61/16,-599/64) (856/49,16792/343) (856/49,-22784/343) (-1520/169,87112/2197) (-1520/169,-67352/2197) (5140,-371084) (5140,365944) (-846/121,-43506/1331) (-846/121,52812/1331) (54976/3721,-10784120/226981) (54976/3721,7430584/226981) (92794/9025,-14052868/857375) (92794/9025,5237438/857375) (1607056/19881,-2131029400/2803221) (1607056/19881,1904434504/2803221) (7759105/179776,-22503080189/76225024) (7759105/179776,19213219669/76225024) # # a-invariants: (1, 0, 0, -6, -6) # Cremona label: 906i1 # # # a-invariants: (0, 0, 1, -1776, 3834) # Cremona label: 909a1 # # # a-invariants: (0, 0, 1, -57, -117) # Cremona label: 909b1 # # # a-invariants: (0, 0, 1, -12, 9) # Cremona label: 909c1 # (-1,4) (-1,-5) (3,-1) (3,0) (-7/16,211/64) (-7/16,-275/64) (219,3240) (219,-3241) (-4969/3025,740821/166375) (-4969/3025,-907196/166375) (146449/46656,-21004921/10077696) (146449/46656,10927225/10077696) # # a-invariants: (1, -1, 0, -2000, 32000) # Cremona label: 910a1 # (32,-16) # # a-invariants: (1, -1, 0, -7120, -194304) # Cremona label: 910a2 # (96,-48) (-32,16) (-253/4,253/8) # # a-invariants: (1, -1, 0, -109040, -13831200) # Cremona label: 910a3 # (-765/4,765/8) # # a-invariants: (1, -1, 0, 12880, -1102304) # Cremona label: 910a4 # (259/4,-259/8) # # a-invariants: (1, 0, 1, 6, 42) # Cremona label: 910b1 # (0,-7) (0,6) (-26/9,58/27) (-26/9,-7/27) (39/4,-303/8) (6,14) (39/4,217/8) (6,-21) (-48/49,-2038/343) (1456/9,-57805/27) (273/256,24927/4096) (273/256,-33391/4096) (-48/49,2031/343) (1456/9,53410/27) (-295121/116964,165391667/40001688) (-295121/116964,-104461973/40001688) (26577145504/658692225,-4705645308367738/16905335954625) (26577145504/658692225,4006637533052953/16905335954625) # # a-invariants: (1, 0, 1, -59, -1154) # Cremona label: 910b2 # (58,-467) (58,408) (16,37) (16,-54) (463/36,-4997/216) (463/36,2003/216) (5056/169,307081/2197) (5056/169,-375006/2197) (18273865/112896,-81168467533/37933056) (18273865/112896,74990515837/37933056) # # a-invariants: (1, 0, 1, -234, 1352) # Cremona label: 910c1 # (23,-103) (10,1) (10,-12) (23,79) (9,-5) (-16,40) (25/9,-779/27) (211/25,-681/125) (8,-8) (27/4,-109/8) (25/9,677/27) (-5,-47) (8,-1) (27/4,47/8) (-5,51) (-16,-25) (211/25,-499/125) (610/49,4668/343) (5305/576,-98743/13824) (2207/169,-68021/2197) (9153/121,809489/1331) (2434/25,112692/125) (9153/121,-911503/1331) (5305/576,-42401/13824) (20231/2209,-704335/103823) (20231/2209,-350345/103823) (2434/25,-124987/125) (2207/169,37133/2197) (610/49,-9281/343) (1692512/485809,7424261512/338608873) (5913889/731025,-4723766423/625026375) (5913889/731025,-957635047/625026375) (1692512/485809,-8942551249/338608873) (85832931850/9534155449,-4475236595579268/930943540506707) (85832931850/9534155449,-4836691909556989/930943540506707) # # a-invariants: (1, 0, 1, -304, 456) # Cremona label: 910c2 # (-73/4,69/8) (24,-97) (-2,-32) (24,72) (-2,33) (293/16,1527/64) (19/36,3553/216) (293/16,-2763/64) (-414/25,-2999/125) (-414/25,4944/125) (388,-7832) (19/36,-3883/216) (388,7443) (1852/49,-78056/343) (-6,-43) (-6,48) (1852/49,64749/343) (5286769/69696,-12565054483/18399744) (5385456/55225,11676869016/12977875) (1729942/1151329,-4071379719/1235376017) (136704/8281,-3885883/753571) (5286769/69696,11150947723/18399744) (1729942/1151329,979775936/1235376017) (136704/8281,-9307752/753571) (5385456/55225,-12955429051/12977875) # # a-invariants: (1, 0, 1, -949, -9984) # Cremona label: 910c3 # (35,-18) (-14,-18) (-21,-18) (-21,38) (-14,31) (84,-753) (91,-858) (91,766) (84,668) (-3101/225,-55262/3375) (-85/4,291/8) (-85/4,-129/8) (-3101/225,98402/3375) (29484/841,-748437/24389) (29484/841,-130988/24389) (47131,-10255578) (47131,10208446) (3517180835/45171841,177559141488942/303599943361) (69867841/705600,-582289916909/592704000) (69867841/705600,523008226469/592704000) (3517180835/45171841,-201501713824338/303599943361) # # a-invariants: (1, 0, 1, -14669, -685008) # Cremona label: 910c4 # (-281/4,277/8) (-70,31) (336,5519) (336,-5856) (-70,38) (-58674/841,832891/24389) (-58674/841,844266/24389) (140,31) (140,-172) (310549/784,-168183037/21952) (-63029/900,1026029/27000) (-63029/900,837841/27000) (310549/784,159465713/21952) (39637220/841,-250122983828/24389) (39637220/841,248973480059/24389) (4522218016505281/31873251009600,-68304164181254830431149/179944900829838144000) (4522218016505281/31873251009600,42593404357722117662309/179944900829838144000) # # a-invariants: (1, -1, 0, -29, -47) # Cremona label: 910d1 # (-2,1) (12,29) (-3,-1) (12,-41) (-3,4) (-32/9,83/27) (7,-11) (-32/9,13/27) (7,4) (54,-419) (-9/4,23/8) (54,365) (-9/4,-5/8) (343/9,-6737/27) (-848/361,-5699/6859) (343/9,5708/27) (-848/361,21811/6859) (-4947/1369,45812/50653) (14748/2209,157177/103823) (14748/2209,-850333/103823) (-4947/1369,137227/50653) (-145154/50625,-12514319/11390625) (44353/3136,-9519859/175616) (-145154/50625,45173969/11390625) (44353/3136,7036091/175616) (29516028/20449,158203431203/2924207) (29516028/20449,-162424223207/2924207) # # a-invariants: (1, -1, 0, 41, -285) # Cremona label: 910d2 # (19/4,-19/8) (21,-108) (11,32) (11,-43) (21,87) (151,-1928) (49/9,-311/27) (49/9,164/27) (151,1777) (5349/784,-440511/21952) (5349/784,290739/21952) (215/4,-3365/8) (215/4,2935/8) (122689/3249,-46548149/185193) (122689/3249,39554876/185193) (15310331/3024121,-43574524592/5258946419) (15310331/3024121,16949858983/5258946419) (2107687681/158760000,-112635234567379/2000376000000) (2107687681/158760000,86078369786779/2000376000000) # # a-invariants: (1, 0, 1, -578448, 183565278) # Cremona label: 910e1 # (234,7695) (234,-7930) # # a-invariants: (1, 0, 1, 3562177, -168122222) # Cremona label: 910e2 # (784,-56130) (784,55345) # # a-invariants: (1, 0, 1, -50503198, -146507820272) # Cremona label: 910e3 # # # a-invariants: (1, -1, 1, -33898, 2219177) # Cremona label: 910f1 # (81,-41) (-175,1751) (137,295) (-175,-1577) (137,-433) (505/9,18157/27) (657,-16553) (505/9,-19699/27) (657,15895) (5609/25,-316933/125) (-19,-1681) (-19,1699) (5609/25,288763/125) (-45,-1889) (1753/9,-49235/27) (1753/9,43949/27) (-45,1933) (65,503) (977,-30505) (65,-569) (977,29527) (-15839/81,-773569/729) (3321/25,-35509/125) (3321/25,18779/125) (-15839/81,915391/729) (109865/1369,-7336037/50653) (19247,2660407) (109865/1369,3220379/50653) (19247,-2679655) (63277/441,4352627/9261) (63277/441,-5690705/9261) (1438721/3025,1569233441/166375) (1438721/3025,-1648529471/166375) (1195353/4489,-1082990099/300763) (11785/3249,267702583/185193) (11785/3249,-268559521/185193) (1195353/4489,1002600685/300763) (-829645/11236,-2430799247/1191016) (-829645/11236,2517550601/1191016) (2754472129/1703025,141829490641807/2222447625) (2754472129/1703025,-145426299217777/2222447625) (24518906613/5094049,3808550236133935/11497268593) (24518906613/5094049,-3863900905628069/11497268593) # # a-invariants: (1, -1, 1, 37782, 10304681) # Cremona label: 910f2 # (-645/4,641/8) (-119,2087) (-119,-1969) (2585,130527) (2585,-133113) (-15,-3113) (5689/9,448429/27) (5689/9,-465523/27) (-15,3127) (3109/25,506263/125) (245,-5973) (245,5727) (3109/25,-521933/125) (619/9,97247/27) (16815/49,2676241/343) (619/9,-99131/27) (16815/49,-2794289/343) (961,-31033) (-259735/4489,855098781/300763) (961,30071) (-259735/4489,-837997299/300763) (-290999/2025,131849891/91125) (5425545/841,12564173603/24389) (-290999/2025,-118846061/91125) (5425545/841,-12721538797/24389) (26348119/1369,-135737823979/50653) (-577765/3721,-169194213/226981) (26348119/1369,134762892923/50653) (-577765/3721,204210897/226981) (2755239121/14584761,268473327920653/55699202259) (2755239121/14584761,-279051285326011/55699202259) # # a-invariants: (1, -1, 1, -33, 81) # Cremona label: 910g1 # (5,2) (5,-8) (3,-4) (3,0) (-5,-8) (-5,12) (1,6) (1,-8) (15/4,-29/8) (15/4,-9/8) (17,-74) (17,56) (115/9,904/27) (115/9,-1276/27) (179/49,-1184/343) (179/49,-412/343) (45/121,10152/1331) (45/121,-11978/1331) (-263/64,6695/512) (-263/64,-5103/512) (8845/2809,-553366/148877) (8845/2809,-64296/148877) (23139/4225,-2732192/274625) (23139/4225,953532/274625) (214355/361,-101215672/6859) (214355/361,97136068/6859) # # a-invariants: (1, 1, 1, -196, 5829) # Cremona label: 910h1 # (9,-75) (9,65) (-19,65) (-19,-47) (29,-175) (29,145) (93,-943) (93,849) (-59/9,-2165/27) (-59/9,2315/27) (-3,81) (-3,-79) (149,-1895) (149,1745) (23,-131) (23,107) (-21,45) (-21,-25) (109/9,1811/27) (109/9,-2165/27) (2109,-97935) (2109,95825) (149/25,-9203/125) (149/25,8333/125) (-5851/361,-436165/6859) (-5851/361,540475/6859) (6309/169,460325/2197) (6309/169,-544539/2197) (5149/81,-391895/729) (5149/81,344825/729) (-2943/289,430477/4913) (-2943/289,-385359/4913) (191/484,-815015/10648) (191/484,800165/10648) (13553/49,1531963/343) (13553/49,-1627177/343) (-997643/45369,197967229/9663597) (-997643/45369,4867133/9663597) (7704341/2699449,314483911075/4435194707) (7704341/2699449,-331577338045/4435194707) # # a-invariants: (1, 1, 1, -6, -1) # Cremona label: 910i1 # (-3,1) # # a-invariants: (1, 1, 1, -76, 223) # Cremona label: 910i2 # (19/4,-23/8) # # a-invariants: (1, 0, 0, -1196, 15760) # Cremona label: 910j1 # (16,20) (16,-36) (24,20) (24,-44) (-40,20) # # a-invariants: (1, 0, 0, -19116, 1015696) # Cremona label: 910j2 # (80,-36) (80,-44) (96,-308) (96,212) (319/4,-319/8) # # a-invariants: (1, 0, 0, -6636, -196784) # Cremona label: 910j3 # (-42,-70) (-42,112) (140,1204) (-56,28) (140,-1344) # # a-invariants: (1, 0, 0, -20356, 876120) # Cremona label: 910j4 # (154,1106) (518,-11634) (447/4,-447/8) (518,11116) (154,-1260) # # a-invariants: (1, 0, 0, -528976, -148126020) # Cremona label: 910j5 # (-420,210) # # a-invariants: (1, 0, 0, -529046, -148084874) # Cremona label: 910j6 # (3359/4,-3359/8) # # a-invariants: (1, 0, 0, -1145, 12025) # Cremona label: 910k1 # (26,-13) (-30,-125) (10,35) (10,-45) (-30,155) (40,155) (40,-195) (90,-845) (90,755) (-10,155) (10/9,-2815/27) (10/9,2785/27) (-10,-145) (30,-85) (250,-4045) (30,55) (250,3795) (-38,51) (12,1) (-38,-13) (12,-13) (250/9,785/27) (530,-12445) (530,11915) (250/9,-1535/27) (-65/4,1365/8) (-65/4,-1235/8) (810/169,-184465/2197) (810/169,173935/2197) (3210/49,-171835/343) (3210/49,149365/343) (5890/121,325305/1331) (5890/121,-390095/1331) (-1940/81,125945/729) (-1940/81,-108485/729) (2330/289,-303485/4913) (2330/289,263875/4913) (2526,125687) (2526,-128213) (16474/625,78443/15625) (16474/625,-490293/15625) (15430/1369,937875/50653) (15430/1369,-1508785/50653) (-175590/5041,-29467115/357911) (-175590/5041,41934005/357911) (1014010/7569,947488165/658503) (1014010/7569,-1035707035/658503) (-662190/190969,10686491815/83453453) (-662190/190969,-10397114785/83453453) (1448625/43264,-1115945585/8998912) (1448625/43264,814631585/8998912) # # a-invariants: (1, 0, 0, -5625, -151943) # Cremona label: 910k2 # (-209/4,209/8) (354,6323) (-46,-77) (354,-6677) (-46,123) (-36,-47) (104,573) (104,-677) (-36,83) (-314/9,1721/27) (94,-437) (-314/9,-779/27) (94,343) (254,3723) (-2154/49,-28211/343) (-2154/49,43289/343) (254,-3977) (-52,1) (10104,1010573) (10104,-1020677) (-52,51) (-40286/841,-1619353/24389) (4786/9,-334879/27) (-40286/841,2787647/24389) (4786/9,320521/27) (-25321/676,1751673/17576) (7641/64,450241/512) (7641/64,-511369/512) (-25321/676,-1093327/17576) (522866/5929,-111197841/456533) (522866/5929,70937159/456533) (-980564/23409,444087721/3581577) (-980564/23409,-294061429/3581577) (1578974/625,-2003046557/15625) (1578974/625,1963572207/15625) (-342029434/6901129,-921241540491/18129265883) (-342029434/6901129,1819752863609/18129265883) # # a-invariants: (0, -1, 0, -57, -171) # Cremona label: 912a1 # (12,27) (12,-27) (77/4,593/8) (77/4,-593/8) (138180/841,-51153093/24389) (138180/841,51153093/24389) # # a-invariants: (0, -1, 0, -172, 928) # Cremona label: 912b1 # (8,0) # # a-invariants: (0, -1, 0, -192, 720) # Cremona label: 912b2 # (4,0) (-15,0) (12,0) # # a-invariants: (0, -1, 0, -1272, -16560) # Cremona label: 912b3 # (-23,0) # # a-invariants: (0, -1, 0, 568, 4368) # Cremona label: 912b4 # (-7,0) # # a-invariants: (0, 1, 0, 55, -93) # Cremona label: 912c1 # # # a-invariants: (0, 1, 0, -16, -28) # Cremona label: 912d1 # (-2,0) # # a-invariants: (0, 1, 0, 24, -108) # Cremona label: 912d2 # (3,0) # # a-invariants: (0, -1, 0, -128, 0) # Cremona label: 912e1 # (0,0) # # a-invariants: (0, -1, 0, 512, -512) # Cremona label: 912e2 # (1,0) # # a-invariants: (0, -1, 0, -6848, 220416) # Cremona label: 912e3 # (48,0) # # a-invariants: (0, -1, 0, -6688, 231040) # Cremona label: 912e4 # (-95,0) # # a-invariants: (0, -1, 0, 315, 2349) # Cremona label: 912f1 # (36,-243) (36,243) (5/4,-419/8) (5/4,419/8) # # a-invariants: (0, -1, 0, -70245, 7189389) # Cremona label: 912f2 # (156,-57) (156,57) (605/4,361/8) (605/4,-361/8) (-300,1083) (-300,-1083) (2401/16,4503/64) (2401/16,-4503/64) (3876/25,4551/125) (3876/25,-4551/125) (36629/4,7007029/8) (36629/4,-7007029/8) (34107768389/230128900,-382666662954563/3491055413000) (34107768389/230128900,382666662954563/3491055413000) # # a-invariants: (0, -1, 0, -24, 48) # Cremona label: 912g1 # (4,0) (-4,8) (2,-2) (-4,-8) (2,2) (52/9,-224/27) (13,-42) (52/9,224/27) (13,42) (188/289,-27896/4913) (188/289,27896/4913) (-94/121,10778/1331) (-94/121,-10778/1331) (32449/7056,-2196935/592704) (129796/4225,-45425856/274625) (32449/7056,2196935/592704) (129796/4225,45425856/274625) (58715404852/622851849,-14132902166248096/15544513595493) (58715404852/622851849,14132902166248096/15544513595493) # # a-invariants: (0, -1, 0, -104, -336) # Cremona label: 912g2 # (12,0) (-4,0) (-7,0) (-44/9,152/27) (-6,-6) (20,-72) (-44/9,-152/27) (-6,6) (20,72) (50,342) (50,-342) (-1108/169,-10080/2197) (3036/25,165984/125) (-859/196,-11115/2744) (133/9,910/27) (-1108/169,10080/2197) (3036/25,-165984/125) (133/9,-910/27) (-859/196,11115/2744) (830420/2209,-755451576/103823) (-144294/34969,-15822738/6539203) (830420/2209,755451576/103823) (-144294/34969,15822738/6539203) (-1931756/281961,423489176/149721291) (-1931756/281961,-423489176/149721291) (933691201/29811600,-26320753280249/162771336000) (933691201/29811600,26320753280249/162771336000) # # a-invariants: (0, -1, 0, -1624, -24656) # Cremona label: 912g3 # (-23,0) (58,270) (58,-270) (-206/9,-10/27) (-206/9,10/27) (27949/225,-4367818/3375) (-759827/33124,3239865/6028568) (27949/225,4367818/3375) (-759827/33124,-3239865/6028568) (-226555586606/9859894209,-400280929651970/979057915271073) (-226555586606/9859894209,400280929651970/979057915271073) # # a-invariants: (0, -1, 0, 136, -1872) # Cremona label: 912g4 # (9,0) (28,-152) (28,152) (244/25,-2128/125) (484,10640) (442/9,-9386/27) (484,-10640) (18,78) (18,-78) (244/25,2128/125) (442/9,9386/27) (593181/4900,456849471/343000) (593181/4900,-456849471/343000) (18589/1521,2271430/59319) (18589/1521,-2271430/59319) (29029197618/77246521,-4941693976261302/678919673069) (29029197618/77246521,4941693976261302/678919673069) # # a-invariants: (0, 1, 0, -1528, 22484) # Cremona label: 912h1 # (22,0) (38,144) (20,-18) (20,18) (38,-144) (-10,-192) (-10,192) (23,6) (23,-6) (566/25,-336/125) (-28,-210) (566/25,336/125) (-28,210) (2150/121,47232/1331) (473/16,-4059/64) (473/16,4059/64) (2150/121,-47232/1331) (6340/289,-7374/4913) (6340/289,7374/4913) (4822/9,334288/27) (4822/9,-334288/27) (71471/1225,-15773094/42875) (71471/1225,15773094/42875) (20250422/851929,-9909856848/786330467) (20250422/851929,9909856848/786330467) (292824977/13017664,-38676993753/46967731712) (-274965130/6436369,-1760146232064/16329068153) (292824977/13017664,38676993753/46967731712) (-274965130/6436369,1760146232064/16329068153) # # a-invariants: (0, 1, 0, -1368, 27540) # Cremona label: 912h2 # (-45,0) (-18,216) (126,-1368) (-18,-216) (126,1368) (36,-162) (12,-114) (12,114) (36,162) (30,-120) (414/25,12312/125) (30,120) (414/25,-12312/125) (333/4,-5643/8) (333/4,5643/8) (-9,198) (-9,-198) (2142,99144) (2142,-99144) (-386/9,-2584/27) (-386/9,2584/27) (10620/49,-1082430/343) (-684/25,26586/125) (10620/49,1082430/343) (-684/25,-26586/125) (7518/169,523128/2197) (7518/169,-523128/2197) (33246/5041,49137192/357911) (33246/5041,-49137192/357911) (49041/1936,-8425377/85184) (34707/1681,-6362796/68921) (34707/1681,6362796/68921) (49041/1936,8425377/85184) (5581566/93025,11527346664/28372625) (5581566/93025,-11527346664/28372625) (1393396/2601,-1642556042/132651) (1393396/2601,1642556042/132651) (-3537976828152159/83786489022016,-83301635268415536261777/766939292117067367936) (-3537976828152159/83786489022016,83301635268415536261777/766939292117067367936) # # a-invariants: (0, 1, 0, 3, -9) # Cremona label: 912i1 # (3,6) (3,-6) (2,-3) (2,3) (75,654) (75,-654) (181/36,2719/216) (181/36,-2719/216) # # a-invariants: (0, 1, 0, 3, -18) # Cremona label: 912j1 # (2,0) # # a-invariants: (0, 1, 0, -92, -360) # Cremona label: 912j2 # (-5,0) # # a-invariants: (0, 1, 0, -5632, 144308) # Cremona label: 912k1 # (-86,0) # # a-invariants: (0, 1, 0, -87552, 9941940) # Cremona label: 912k2 # (171,0) (170,0) (-342,0) # # a-invariants: (0, 1, 0, -1400832, 637689780) # Cremona label: 912k3 # (683,0) # # a-invariants: (0, 1, 0, -84992, 10553268) # Cremona label: 912k4 # (172,1026) (172,-1026) (-341,0) # # a-invariants: (0, 1, 0, -37, -109) # Cremona label: 912l1 # # # a-invariants: (1, -1, 1, -115, -476) # Cremona label: 913a1 # # # a-invariants: (0, 0, 1, -1, 13) # Cremona label: 913b1 # # # a-invariants: (1, -1, 0, -52, -48) # Cremona label: 914a1 # (8,-4) (-56/9,148/27) (-1,2) (-56/9,20/27) (-1,-1) (18824/2209,-1330748/103823) (2281/9,-112156/27) (18824/2209,446020/103823) (2281/9,105313/27) (-278011832/49154121,3186213052436/344619542331) (-278011832/49154121,-1237072098284/344619542331) # # a-invariants: (1, -1, 0, -692, -6832) # Cremona label: 914a2 # (-61/4,61/8) (1013,-32725) (-137/9,182/27) (1013,31712) (-137/9,229/27) (5049097/19881,10909194287/2803221) (5049097/19881,-11621116964/2803221) # # a-invariants: (1, 0, 1, -2, -2) # Cremona label: 914b1 # # # a-invariants: (0, -1, 1, -460, -11577) # Cremona label: 915a1 # # # a-invariants: (1, 1, 0, -57, 144) # Cremona label: 915b1 # (4,-2) (15/4,-21/8) (15/4,-9/8) (0,-12) (0,12) (281/64,-319/512) (281/64,-1929/512) (164/25,-1698/125) (164/25,878/125) (-52065/6724,9854859/551368) (-52065/6724,-5585529/551368) (675625441/165894400,-3543332245529/2136719872000) (675625441/165894400,-5158723434551/2136719872000) # # a-invariants: (1, 1, 0, -62, 111) # Cremona label: 915b2 # (2,-1) (6,-3) (-37/4,37/8) (-94/25,2431/125) (157/16,1211/64) (22,89) (157/16,-1839/64) (-94/25,-1961/125) (-1/4,-89/8) (22,-111) (-1/4,91/8) (138923/103684,-212924503/33386248) (106726/1521,32881603/59319) (138923/103684,168191297/33386248) (106726/1521,-37043917/59319) (11121/1600,336411/64000) (11121/1600,-781251/64000) # # a-invariants: (1, 1, 0, -367, -2756) # Cremona label: 915b3 # (-53/4,53/8) (-12,16) (88,-854) (-12,-4) (88,766) (413/16,4049/64) (-1001/100,-1313/1000) (413/16,-5701/64) (-1001/100,11323/1000) (-144492/14641,17853976/1771561) (-144492/14641,-370444/1771561) (173075041/2433600,-2339465875891/3796416000) (173075041/2433600,2069468811931/3796416000) # # a-invariants: (1, 1, 0, 163, 966) # Cremona label: 915b4 # (-21/4,21/8) (10,-66) (10,56) (79/4,-969/8) (79/4,811/8) (2530/9,123878/27) (1621/400,-347379/8000) (2530/9,-131468/27) (-750/169,34338/2197) (1621/400,314959/8000) (-750/169,-24588/2197) (10961673739/157703364,1109750730787399/1980438845112) (10961673739/157703364,-1247407429601761/1980438845112) # # a-invariants: (0, 1, 1, -6, -25) # Cremona label: 915c1 # # # a-invariants: (1, 0, 0, 50, 107) # Cremona label: 915d1 # (-2,1) (-1,-7) (59,428) (59,-487) (-1,8) (29/16,-973/64) (14,53) (29/16,857/64) (14,-67) (43/9,-644/27) (7,25) (43/9,515/27) (7,-32) (41/64,-6209/512) (3566/169,-250099/2197) (41/64,5881/512) (3566/169,203741/2197) (6791/49,537104/343) (6791/49,-584641/343) (197389/400,-89702077/8000) (197389/400,85754297/8000) (-6098/3249,-330827/185193) (-6098/3249,678413/185193) (5347391/165649,11636328904/67419143) (5347391/165649,-13812717041/67419143) (134497601/41576704,4249962492521/268086587392) (134497601/41576704,-5117203023769/268086587392) # # a-invariants: (1, 0, 0, -255, 900) # Cremona label: 915d2 # (15/4,-15/8) (15,-30) (-15,45) (-15,-30) (15,15) (0,30) (60,-480) (0,-30) (60,420) (35,170) (-3,-39) (35,-205) (-3,42) (-45/4,435/8) (285/16,-3495/64) (-45/4,-345/8) (285/16,2355/64) (555,-13350) (555,12795) (165/49,-3690/343) (165/49,2535/343) (124/9,4/27) (-6240/361,-41970/6859) (124/9,-376/27) (-6240/361,160530/6859) (15855/121,-2071050/1331) (2865/1369,929985/50653) (2865/1369,-1035990/50653) (15855/121,1896645/1331) (256785/10816,-116254995/1124864) (-26145/3844,12317835/238328) (-26145/3844,-10696845/238328) (256785/10816,89549355/1124864) (1778400/811801,-14545264530/731432701) (1778400/811801,12942926130/731432701) (641476861/1299600,-16608250985861/1481544000) (641476861/1299600,15876967364321/1481544000) # # a-invariants: (0, 0, 0, -71, -290) # Cremona label: 916a1 # (10,0) # # a-invariants: (0, 0, 0, -76, -255) # Cremona label: 916a2 # (-5,0) # # a-invariants: (0, 0, 0, -1013692, 392832257) # Cremona label: 916b1 # # # a-invariants: (0, 0, 0, -4, 1) # Cremona label: 916c1 # (0,1) (0,-1) (2,-1) (2,1) (-2,-1) (-2,1) (-1,-2) (-1,2) (4,7) (4,-7) (3,-4) (3,4) (10,-31) (10,31) (1/4,1/8) (1/4,-1/8) (12,41) (12,-41) (-7/4,-13/8) (-7/4,13/8) (-2/9,37/27) (-2/9,-37/27) (20,89) (20,-89) (-8/9,-53/27) (-8/9,53/27) (6/25,29/125) (6/25,-29/125) (-16/25,227/125) (-16/25,-227/125) (33/16,-79/64) (33/16,79/64) (114,1217) (114,-1217) (92/49,113/343) (92/49,-113/343) (-90/49,503/343) (-90/49,-503/343) (91/25,736/125) (91/25,-736/125) (154/81,-377/729) (154/81,377/729) (145/64,967/512) (145/64,-967/512) (-10/169,-2443/2197) (-10/169,2443/2197) (-248/121,1021/1331) (-248/121,-1021/1331) (235/9,-3592/27) (235/9,3592/27) (-153/121,-2674/1331) (-153/121,2674/1331) (55/361,-4306/6859) (55/361,4306/6859) (1274,-45473) (1274,45473) (-728/529,-24023/12167) (-728/529,24023/12167) (2002/289,-85903/4913) (2002/289,85903/4913) (-1776/841,4187/24389) (-1776/841,-4187/24389) (2684/961,-101527/29791) (2684/961,101527/29791) (-328/2209,130943/103823) (-328/2209,-130943/103823) (-1194/2209,-179951/103823) (-1194/2209,179951/103823) (3713/16,226241/64) (3713/16,-226241/64) (5452/1681,-324319/68921) (5452/1681,324319/68921) (127/2401,104474/117649) (127/2401,-104474/117649) (-6519/3364,-236891/195112) (-6519/3364,236891/195112) (1598/8281,-365539/753571) (1598/8281,365539/753571) (17594/3025,-2197703/166375) (17594/3025,2197703/166375) (16353/2704,-1978543/140608) (16353/2704,1978543/140608) (29812/12321,3203639/1367631) (29812/12321,-3203639/1367631) (-4495/14884,-2681353/1815848) (-4495/14884,2681353/1815848) (49300/25281,3153529/4019679) (49300/25281,-3153529/4019679) (130403/2209,47063372/103823) (130403/2209,-47063372/103823) (-101015/66564,32472523/17173512) (-101015/66564,-32472523/17173512) (-200976/180625,154928857/76765625) (-200976/180625,-154928857/76765625) (690882/43681,-569719951/9129329) (690882/43681,569719951/9129329) (1420324/21025,-1691965207/3048625) (1420324/21025,1691965207/3048625) (-879602/531441,680624119/387420489) (-879602/531441,-680624119/387420489) (-2126713/1006009,92749238/1009027027) (-2126713/1006009,-92749238/1009027027) (14129371/7546009,5677076656/20728886723) (14129371/7546009,-5677076656/20728886723) (104854961/54169600,-284717447959/398688256000) (104854961/54169600,284717447959/398688256000) (460316572/11512449,-9863801959753/39061739457) (460316572/11512449,9863801959753/39061739457) (-399206808/962674729,-48045598824133/29868908816683) (-399206808/962674729,48045598824133/29868908816683) (-4915533041/2383880625,-80706879431198/116392971515625) (-4915533041/2383880625,80706879431198/116392971515625) # # a-invariants: (0, 1, 0, -77, 236) # Cremona label: 916d1 # (5,1) (5,-1) (43/9,-1/27) (8,-14) (11,-29) (43/9,1/27) (11,29) (8,14) (3833/784,12181/21952) (4373/841,43931/24389) (4373/841,-43931/24389) (1669/9,68293/27) (1669/9,-68293/27) (3833/784,-12181/21952) # # a-invariants: (0, 1, 0, -157, -416) # Cremona label: 916d2 # (60,-458) (60,458) (273/16,-2977/64) (273/16,2977/64) (124/9,-406/27) (124/9,406/27) (324009/10816,-169331531/1124864) (324009/10816,169331531/1124864) (71439516/223729,-604296933502/105823817) (71439516/223729,604296933502/105823817) (1100972041/5934096,36545189936723/14455457856) (1100972041/5934096,-36545189936723/14455457856) # # a-invariants: (0, -1, 0, -5, -2) # Cremona label: 916e1 # (-1,1) (-1,-1) (3,1) (3,-1) (-3/4,7/8) (-3/4,-7/8) (59,-449) (59,449) (-281/225,-2897/3375) (-281/225,2897/3375) (2801/784,-79073/21952) (2801/784,79073/21952) # # a-invariants: (1, -1, 0, -24990, 1526804) # Cremona label: 918a1 # (92,-38) (92,-54) (89,-3) (89,-86) (-500/9,45454/27) (-500/9,-43954/27) # # a-invariants: (1, -1, 0, 0, -18) # Cremona label: 918b1 # (9,21) (9,-30) (3,-3) (3,0) (19/4,49/8) (19/4,-87/8) (51,336) (51,-387) (1257/49,39486/343) (1257/49,-48285/343) (1009/256,14945/4096) (1009/256,-31089/4096) (111369/34225,-28776867/6331625) (111369/34225,8173602/6331625) (50899123/171396,-373209928777/70957944) (50899123/171396,352137691855/70957944) # # a-invariants: (1, -1, 0, -771, -8875) # Cremona label: 918c1 # (53,285) (53,-338) # # a-invariants: (1, -1, 0, -48, -768) # Cremona label: 918d1 # # # a-invariants: (1, -1, 0, 432, 20448) # Cremona label: 918d2 # (1,-145) (1,144) # # a-invariants: (1, -1, 0, 3, -3) # Cremona label: 918e1 # (1,-1) (1,0) (19,72) (19,-91) (487/324,6067/5832) (487/324,-14833/5832) (304401691009/141526440000,-225060226946313677/53242246728000000) (304401691009/141526440000,110544310788727877/53242246728000000) # # a-invariants: (1, -1, 0, -27, 99) # Cremona label: 918e2 # (1,8) (1,-9) (-5,-7) (55/4,319/8) (-5,12) (43/9,148/27) (55/4,-429/8) (43/9,-277/27) (-22799/5625,-3946424/421875) (-22799/5625,5656349/421875) (6961/361,485544/6859) (6961/361,-617803/6859) (31969/7744,3170427/681472) (31969/7744,-5983699/681472) # # a-invariants: (1, -1, 0, 24, 48) # Cremona label: 918f1 # (1,8) (1,-9) (4,12) (-8/9,148/27) (52,348) (4,-16) (52,-400) (-8/9,-124/27) (-83/49,489/343) (-83/49,92/343) (1549/121,55732/1331) (1549/121,-72771/1331) (1453/144,-69595/1728) (1453/144,52159/1728) (4285636/126025,8110970576/44738875) (389176/77841,-413922556/21717639) (4285636/126025,-9632371356/44738875) (389176/77841,305342452/21717639) # # a-invariants: (1, -1, 0, -231, -2179) # Cremona label: 918f2 # (46,265) (46,-311) (19,-5) (19,-14) (478/9,9139/27) (478/9,-10573/27) (8335,-765086) (8335,756751) (16390837/853776,3173738569/788889024) (16390837/853776,-18318871957/788889024) # # a-invariants: (1, -1, 1, -26, 89) # Cremona label: 918g1 # (1,-9) (1,7) # # a-invariants: (1, -1, 1, 214, -1511) # Cremona label: 918g2 # # # a-invariants: (1, -1, 1, -86, 357) # Cremona label: 918h1 # (5,3) (5,-9) (-7,-21) (-7,27) (9,11) (9,-21) (17,-69) (17,51) (-1,-21) (-1,21) (3,-13) (3,9) (65,-549) (65,483) (161/25,-1281/125) (161/25,351/125) (-95/9,137/27) (-95/9,121/27) (317/49,-3543/343) (317/49,981/343) (251/4,-4167/8) (251/4,3657/8) (357/121,12201/1331) (357/121,-17459/1331) (-871/961,-621579/29791) (-871/961,618789/29791) (31937/1849,-5633871/79507) (31937/1849,4181073/79507) (33225/3721,-4686297/226981) (33225/3721,2432591/226981) (-51349/7225,-12761481/614125) (-51349/7225,16512021/614125) (1794457/9,-2406494111/27) (1794457/9,2401110713/27) (-47999143/6964321,-389814324171/18378843119) (-47999143/6964321,498105219429/18378843119) # # a-invariants: (1, -1, 1, 25, 55) # Cremona label: 918i1 # (1,8) (1,-10) (5,14) (5,-20) (37,206) (-5/4,-35/8) (-5/4,37/8) (37,-244) (5521/625,-548506/15625) (5521/625,394856/15625) (4081/256,-303985/4096) (-511/289,-5546/4913) (4081/256,234593/4096) (-511/289,9320/4913) # # a-invariants: (1, -1, 1, -245, -2429) # Cremona label: 918i2 # (155/4,-1859/8) (155/4,1541/8) (971356289/46240000,-15115735360937/314432000000) (971356289/46240000,8196080595737/314432000000) # # a-invariants: (1, -1, 1, -434, 21169) # Cremona label: 918j1 # (1,143) (1,-145) (17,-145) (17,127) (-17,-145) (289,-5041) (-17,161) (289,4751) (73,-649) (37,-253) (37,215) (-31,79) (-31,-49) (73,575) (-731/25,-9557/125) (289/9,-5819/27) (289/9,4925/27) (-731/25,13087/125) (4369/49,-299431/343) (4369/49,268505/343) (-2279/169,-329653/2197) (443,9085) (-2279/169,357083/2197) (443,-9529) (4033/289,-690209/4913) (4033/289,616735/4913) (-4913/2116,-14425075/97336) (940729/121,907202269/1331) (-4913/2116,14553737/97336) (940729/121,-917551619/1331) (21233/5041,48924601/357911) (21233/5041,-50790055/357911) (830419/41209,-1280715785/8365427) (6962209/34225,-18910352393/6331625) (6962209/34225,17616012103/6331625) (830419/41209,1103775301/8365427) (208111229/3418801,-3144076871969/6321363049) (208111229/3418801,2752957846499/6321363049) # # a-invariants: (1, -1, 1, 3886, -555983) # Cremona label: 918j2 # (287,4769) (287,-5057) (77,403) (77,-481) (992629/11025,780228707/1157625) (992629/11025,-885612377/1157625) (21561827/48841,98321774513/10793861) (21561827/48841,-103097732141/10793861) (10034385024167/1290677476,-31965759993473547631/46368879002776) (10034385024167/1290677476,31605218308216321213/46368879002776) # # a-invariants: (1, -1, 1, -2777, -55623) # Cremona label: 918k1 # # # a-invariants: (1, -1, 1, -2, 487) # Cremona label: 918l1 # # # a-invariants: (0, 0, 0, 1468, -2844) # Cremona label: 920a1 # (302,5290) (302,-5290) (72,690) (72,-690) (26,230) (26,-230) (73/9,-2645/27) (73/9,2645/27) (2,10) (2,-10) (144/25,9522/125) (144/25,-9522/125) (998/49,64630/343) (998/49,-64630/343) (2017/36,-109135/216) (2017/36,109135/216) (23846/121,3750610/1331) (23846/121,-3750610/1331) (5472,-404790) (5472,404790) (1143218/2209,-1225677130/103823) (1143218/2209,1225677130/103823) (191041/2025,89993089/91125) (191041/2025,-89993089/91125) # # a-invariants: (0, 0, 0, -187, 991) # Cremona label: 920b1 # (7,5) (7,-5) (2,25) (2,-25) (27,125) (27,-125) (33/4,25/8) (33/4,-25/8) (-13,-35) (-13,35) (10,11) (10,-11) (103/9,-505/27) (103/9,505/27) (-143/16,-2825/64) (-143/16,2825/64) (2303/289,-12875/4913) (2303/289,12875/4913) (2298/49,105925/343) (2298/49,-105925/343) (2163/529,-208885/12167) (2163/529,208885/12167) (3089/484,-80735/10648) (3089/484,80735/10648) (67843/169,17660735/2197) (67843/169,-17660735/2197) (84275943/9778129,-135095714755/30576209383) (84275943/9778129,135095714755/30576209383) # # a-invariants: (0, 1, 0, 4, 5) # Cremona label: 920c1 # (2,5) (2,-5) (-1,1) (-1,-1) (-2/9,-55/27) (-2/9,55/27) (29/4,-173/8) (29/4,173/8) (758/49,-21715/343) (758/49,21715/343) (295/1089,89315/35937) (295/1089,-89315/35937) # # a-invariants: (0, -1, 0, 0, -23) # Cremona label: 920d1 # (4,-5) (4,5) (9,25) (9,-25) (24,-115) (24,115) (13/4,-7/8) (13/4,7/8) (496/9,10945/27) (496/9,-10945/27) (3361/529,169075/12167) (3361/529,-169075/12167) (158097/784,62705455/21952) (158097/784,-62705455/21952) # # a-invariants: (0, -1, 1, -3058, -64080) # Cremona label: 921a1 # # # a-invariants: (0, 1, 1, -23, 41) # Cremona label: 921b1 # (1,4) (1,-5) (7,-17) (-5,7) (-5,-8) (13/4,-31/8) (7,16) (13/4,23/8) (-39/16,571/64) (-39/16,-635/64) (301/121,2489/1331) (421/25,-8644/125) (421/25,8519/125) (301/121,-3820/1331) (-22595/33124,42535121/6028568) (84127/1681,-24570592/68921) (-22595/33124,-48563689/6028568) (84127/1681,24501671/68921) (96795361/23270976,-718818880015/112259188224) (96795361/23270976,606559691791/112259188224) # # a-invariants: (0, 1, 1, 157, -130) # Cremona label: 921b2 # (85/4,917/8) (85/4,-925/8) (33/16,889/64) (33/16,-953/64) (13/4,161/8) (13/4,-169/8) (18073/576,2640349/13824) (18073/576,-2654173/13824) (1246405/1444,1392442595/54872) (1246405/1444,-1392497467/54872) (720681/48400,800770621/10648000) (720681/48400,-811418621/10648000) # # a-invariants: (1, 0, 0, -2, -2) # Cremona label: 922a1 # # # a-invariants: (0, 0, 1, -4, 19) # Cremona label: 923a1 # # # a-invariants: (0, -1, 0, 25158, -775719) # Cremona label: 924a1 # # # a-invariants: (0, -1, 0, 14, 1057) # Cremona label: 924b1 # (24,121) (24,-121) (2,33) (2,-33) (-9,11) (-9,-11) (-26/9,847/27) (-26/9,-847/27) (12,53) (12,-53) (701/4,18513/8) (701/4,-18513/8) (1524/25,-59257/125) (1524/25,59257/125) (3214/441,357841/9261) (3214/441,-357841/9261) (-26937/4489,-8075419/300763) (-26937/4489,8075419/300763) (-20086/2809,3460053/148877) (-20086/2809,-3460053/148877) (16452193/374544,-66630779369/229220928) (16452193/374544,66630779369/229220928) # # a-invariants: (0, -1, 0, 14, -11) # Cremona label: 924c1 # (3,7) (3,-7) (5/4,21/8) (5/4,-21/8) (27,139) (27,-139) (1153/144,40537/1728) (1153/144,-40537/1728) # # a-invariants: (0, -1, 0, -470, -4311) # Cremona label: 924d1 # # # a-invariants: (0, 1, 0, -22, 41) # Cremona label: 924e1 # (2,-3) (2,3) (-4,9) (-4,-9) (5,9) (5,-9) (8,21) (8,-21) (-2,9) (-2,-9) (5/4,-33/8) (5/4,33/8) (86,801) (86,-801) (128/49,981/343) (128/49,-981/343) (-139/25,-591/125) (-139/25,591/125) (292/81,-3383/729) (292/81,3383/729) (2714/169,140457/2197) (2714/169,-140457/2197) (-535/1936,-584829/85184) (-535/1936,584829/85184) (31289798/11135569,-113097627639/37159393753) (31289798/11135569,113097627639/37159393753) # # a-invariants: (0, 1, 0, -1706, -27699) # Cremona label: 924f1 # # # a-invariants: (0, 1, 0, 6, 9) # Cremona label: 924g1 # (0,-3) (0,3) # # a-invariants: (0, 1, 0, -54, -291) # Cremona label: 924g2 # # # a-invariants: (0, 1, 0, -17242, 875009) # Cremona label: 924h1 # (56,-297) (56,297) (110,567) (89,231) (-142,693) (110,-567) (-142,-693) (89,-231) (1244,43659) (68,147) (1244,-43659) (125/4,4851/8) (68,-147) (125/4,-4851/8) (-79,1323) (166,1617) (1994/25,-14553/125) (1994/25,14553/125) (-79,-1323) (166,-1617) (-16,1071) (-16,-1071) (320,5313) (1193/16,6237/64) (320,-5313) (1193/16,-6237/64) (353,6237) (74,99) (-10,1023) (74,-99) (353,-6237) (-10,-1023) (-2164/25,-164241/125) (-2164/25,164241/125) (724/9,-3311/27) (724/9,3311/27) (629/4,-11529/8) (629/4,11529/8) (1538,60123) (1538,-60123) (12494/361,-3885651/6859) (11345/169,344421/2197) (11345/169,-344421/2197) (12494/361,3885651/6859) (26120/289,1234359/4913) (-9319/64,289443/512) (-9319/64,-289443/512) (26120/289,-1234359/4913) (56552/529,6262641/12167) (56552/529,-6262641/12167) (1441/25,34461/125) (1441/25,-34461/125) (91166/1681,-22051953/68921) (121826,42521787) (121826,-42521787) (91166/1681,22051953/68921) (22229/196,-1716231/2744) (-16660/121,1079487/1331) (-16660/121,-1079487/1331) (84308/961,-6339267/29791) (22229/196,1716231/2744) (84308/961,6339267/29791) (863945/841,-797158593/24389) (37862/1369,-32829699/50653) (863945/841,797158593/24389) (37862/1369,32829699/50653) (4709801/59536,1614471453/14526784) (-1188464/16641,2837553103/2146689) (-1188464/16641,-2837553103/2146689) (4709801/59536,-1614471453/14526784) (-14578747/3407716,-6127206477777/6290643736) (-14578747/3407716,6127206477777/6290643736) # # a-invariants: (0, 1, 0, 59978, 4520981) # Cremona label: 924h2 # (-55,1029) (-55,-1029) (4925/4,352947/8) (4925/4,-352947/8) (1369/25,-352947/125) (1369/25,352947/125) (4265/16,-402339/64) (4265/16,402339/64) (305,7161) (305,-7161) (35221/900,71075431/27000) (35221/900,-71075431/27000) (93205865/61009,-912181286037/15069223) (93205865/61009,912181286037/15069223) (-590244535/9784384,-25365834647013/30605553152) (-590244535/9784384,25365834647013/30605553152) (5119732321/42025,-366330891635919/8615125) (5119732321/42025,366330891635919/8615125) (-1106352595/22791076,-133143296119611/108804596824) (-1106352595/22791076,133143296119611/108804596824) # # a-invariants: (0, 1, 1, -133, 519) # Cremona label: 925a1 # (3,-13) (3,12) (9,-12) (9,11) (-467/36,-3383/216) (-467/36,3167/216) (6333/529,335053/12167) (6333/529,-347220/12167) # # a-invariants: (0, -1, 1, -83, 318) # Cremona label: 925b1 # (2,12) (2,-13) (6,0) (6,-1) (57/16,-507/64) (57/16,443/64) (158,-1977) (158,1976) (-758/1521,-1153972/59319) (-758/1521,1094653/59319) (142577/23104,-7815081/3511808) (142577/23104,4303273/3511808) (626951214/15626209,-15157028113592/61770404177) (626951214/15626209,15095257709415/61770404177) # # a-invariants: (0, -1, 1, -583, -5057) # Cremona label: 925b2 # (-13,12) (-13,-13) (31,-76) (31,75) (-28943/1936,-869567/85184) (-28943/1936,784383/85184) # # a-invariants: (0, -1, 1, -46833, -3885432) # Cremona label: 925b3 # (-15078/121,-678/1331) (-15078/121,-653/1331) (73126/121,18257575/1331) (73126/121,-18258906/1331) # # a-invariants: (1, 1, 1, -88, -344) # Cremona label: 925c1 # (-5,2) # # a-invariants: (1, 1, 1, 37, -1094) # Cremona label: 925c2 # (35/4,-39/8) # # a-invariants: (0, -1, 1, -3908, 95343) # Cremona label: 925d1 # # # a-invariants: (0, 0, 1, -25, 31) # Cremona label: 925e1 # # # a-invariants: (1, 1, 1, 7, 7) # Cremona label: 926a1 # (-1,0) # # a-invariants: (1, 1, 1, -33, 23) # Cremona label: 926a2 # (3/4,-7/8) # # a-invariants: (1, -1, 0, -54, -243) # Cremona label: 927a1 # (12,-33) (12,21) (763/36,-21361/216) (763/36,16783/216) # # a-invariants: (0, 1, 0, -1, -17) # Cremona label: 928a1 # (3,-4) (3,4) (9,28) (9,-28) (139/9,1684/27) (139/9,-1684/27) (501/196,-5263/2744) (501/196,5263/2744) (143979/841,-54790508/24389) (143979/841,54790508/24389) # # a-invariants: (0, -1, 0, -1, 17) # Cremona label: 928b1 # (1,4) (1,-4) (-1,4) (-1,-4) (17,68) (17,-68) (13/4,-49/8) (13/4,49/8) (-191/81,-604/729) (-191/81,604/729) (1279/289,-43852/4913) (1279/289,43852/4913) (29681/3025,4866404/166375) (29681/3025,-4866404/166375) (-61519/38416,-26007169/7529536) (-61519/38416,26007169/7529536) # # a-invariants: (1, 1, 0, -108, -432) # Cremona label: 930a1 # (-8,4) (56,-444) (-7,-3) (56,388) (-7,10) (-20936/3969,1927036/250047) (-20936/3969,-608068/250047) (2617/169,-112991/2197) (2617/169,78970/2197) (-68638591/14440000,48900876573/54872000000) (-68638591/14440000,211925769227/54872000000) # # a-invariants: (1, 1, 0, -428, 2832) # Cremona label: 930a2 # (59/4,-59/8) (8,-4) (-24,12) (224,3236) (16,-28) (-19,77) (7,12) (7,-19) (16,12) (-19,-58) (224,-3460) (57,-438) (-704/81,59588/729) (-704/81,-53252/729) (3539/169,108824/2197) (176/49,-13252/343) (57,381) (3539/169,-154831/2197) (176/49,12020/343) (821/5776,23077427/438976) (59656/1681,11469052/68921) (-7889/2500,8262991/125000) (59656/1681,-13914948/68921) (821/5776,-23139823/438976) (-7889/2500,-7868541/125000) (12214777/670761,-26216775521/549353259) (12214777/670761,16212873158/549353259) # # a-invariants: (1, 1, 0, -6628, 204952) # Cremona label: 930a3 # (187/4,-187/8) (47,-19) (229,-3395) (229,3166) (47,-28) (401899/8281,-830864/753571) (5857/81,215749/729) (5857/81,-268462/729) (401899/8281,-35741945/753571) (236738591/4202500,787942285739/8615125000) (236738591/4202500,-1273256397289/8615125000) # # a-invariants: (1, 1, 0, 652, 16008) # Cremona label: 930a4 # (-69/4,69/8) (-11,-82) (223,3252) (223,-3475) (-11,93) (58171/13689,-223459991/1601613) (58171/13689,216653984/1601613) (2577/49,-162114/343) (2577/49,144075/343) (268277509/9709456,-7582129294647/30254664896) (268277509/9709456,6746176576603/30254664896) # # a-invariants: (1, 1, 0, -203, -1347) # Cremona label: 930b1 # # # a-invariants: (1, 1, 0, 98, 244) # Cremona label: 930c1 # # # a-invariants: (1, 1, 0, 2238, 181236) # Cremona label: 930d1 # (-44,22) (212,-3306) (-13,394) (212,3094) (-13,-381) (4372/81,-515674/729) (4372/81,476326/729) (37,-581) (37,544) (-1132/49,-113798/343) (1343/4,48567/8) (1343/4,-51253/8) (-1132/49,121722/343) (-3443/81,-62909/729) (637492/121,505568354/1331) (637492/121,-512580766/1331) (-3443/81,93896/729) (-641548/346921,-85801352114/204336469) (-641548/346921,86179223886/204336469) (124886953/1658944,1810821519193/2136719872) (124886953/1658944,-1971675914657/2136719872) # # a-invariants: (1, 1, 0, -37442, 2585844) # Cremona label: 930d2 # (347/4,-347/8) (868,24566) (68,-634) (868,-25434) (68,566) (-7,-1684) (-7,1691) (243,2691) (243,-2934) (148,-634) (-7468/49,-723862/343) (148,486) (-7468/49,776138/343) (-217,851) (-217,-634) (10933/81,36739/729) (10933/81,-135136/729) (-85852/961,-66784294/29791) (-85852/961,69445706/29791) (61348/361,-7991806/6859) (61348/361,6826194/6859) (274877/8464,-935791217/778688) (69903/196,15687729/2744) (69903/196,-16666371/2744) (274877/8464,910502533/778688) (51651493/9801,-373567749416/970299) (51651493/9801,368454251609/970299) # # a-invariants: (1, 1, 0, 3, 9) # Cremona label: 930e1 # (-2,1) (0,3) (3,6) (0,-3) (3,-9) (-1,3) (8,-29) (8,21) (-1,-2) (-27/16,-51/64) (30,-183) (-27/16,159/64) (30,153) (31/25,-586/125) (31/25,431/125) (88/81,2429/729) (88/81,-3221/729) (-1680/961,-18477/29791) (4563/121,288546/1331) (4563/121,-338739/1331) (-1680/961,70557/29791) (-25762/28561,14555689/4826809) (-25762/28561,-10201911/4826809) (22289/3136,3111653/175616) (22289/3136,-4359837/175616) (1915973212319/211608280081,-3329819500671415698/97341713311780729) (1915973212319/211608280081,2448454579245764827/97341713311780729) # # a-invariants: (1, 1, 0, -47, 99) # Cremona label: 930e2 # (11/4,-11/8) (5,2) (5,-7) (-5,18) (-5,-13) (9,-27) (-1/25,1258/125) (9,18) (-1/25,-1253/125) (415/196,-13383/2744) (485/16,-11617/64) (415/196,7573/2744) (485/16,9677/64) (8761/2025,-179551/91125) (8761/2025,-214694/91125) (4103275/1819801,-10851519393/2454911549) (4414325/116281,8531829178/39651821) (4103275/1819801,5316201418/2454911549) (4414325/116281,-10037114003/39651821) (734941089/89567296,12380071013757/847664889344) (734941089/89567296,-19335553480053/847664889344) # # a-invariants: (1, 0, 1, -10400749, 13377941672) # Cremona label: 930f1 # # # a-invariants: (1, 0, 1, -244, 1442) # Cremona label: 930g1 # (9,-5) # # a-invariants: (1, 0, 1, -264, 1186) # Cremona label: 930g2 # (13,-7) (-73/4,69/8) (5,-3) # # a-invariants: (1, 0, 1, -1514, -21814) # Cremona label: 930g3 # (-105/4,101/8) # # a-invariants: (1, 0, 1, 666, 7882) # Cremona label: 930g4 # (-41/4,37/8) # # a-invariants: (1, 0, 1, 467, -1432) # Cremona label: 930h1 # (3,-2) (34,215) (34,-250) (19,-130) (19,110) (499,10910) (4,20) (4,-25) (499,-11410) (43/4,-605/8) (67,-610) (43/4,511/8) (67,542) (124,-1465) (859/121,-68630/1331) (859/121,57850/1331) (124,1340) (1546/9,-63635/27) (291/49,12370/343) (291/49,-14750/343) (1546/9,58970/27) (33619/625,6202478/15625) (33619/625,-7058578/15625) (817/64,38251/512) (817/64,-45299/512) (365899/361,-224887750/6859) (365899/361,217928810/6859) (20012371/889249,110541387890/838561807) (994156/34969,1127835605/6539203) (20012371/889249,-130251615550/838561807) (994156/34969,-1320281980/6539203) (41520307/7396,-269334932123/636056) (41520307/7396,265763549665/636056) # # a-invariants: (1, 0, 1, -2013, -12344) # Cremona label: 930h2 # (-25/4,21/8) (-25,-138) (95,-858) (95,762) (-25,162) (-40,-48) (-40,87) (50,87) (50,-138) (275,4362) (275,-4638) (-13,114) (-13,-102) (500,-11388) (-10,-78) (500,10887) (-10,87) (55,182) (-1825/49,-30234/343) (-1825/49,42666/343) (55,-238) (-475/16,-8457/64) (299/4,-4353/8) (299/4,3747/8) (-475/16,10293/64) (4055,256182) (4055,-260238) (-2425/361,223458/6859) (-2425/361,-184242/6859) (15500/121,-1889403/1331) (15500/121,1717572/1331) (-5890/289,747786/4913) (-5890/289,-652569/4913) (-6997/169,-1542/2197) (-6997/169,90306/2197) (77050/441,-21474293/9261) (77050/441,19846982/9261) (2542241/40000,-3000320061/8000000) (2542241/40000,2483871861/8000000) (194005295/3129361,1594715951478/5535839609) (194005295/3129361,-1943447157942/5535839609) (1490576385500/31096148281,104985159536371227/5483525884019821) (1490576385500/31096148281,-373318415815846548/5483525884019821) # # a-invariants: (1, 0, 1, 2, -22) # Cremona label: 930i1 # (4,5) (4,-10) # # a-invariants: (1, 0, 1, -523, -4642) # Cremona label: 930i2 # # # a-invariants: (1, 0, 1, -13648, 613406) # Cremona label: 930j1 # (-135,67) # # a-invariants: (1, 0, 1, -218448, 39279646) # Cremona label: 930j2 # (1079/4,-1083/8) # # a-invariants: (1, 1, 1, -41, -121) # Cremona label: 930k1 # (7,-4) # # a-invariants: (1, 1, 1, -661, -6817) # Cremona label: 930k2 # (-61/4,57/8) # # a-invariants: (1, 1, 1, -23051, 1344449) # Cremona label: 930l1 # # # a-invariants: (1, 1, 1, 39, 39) # Cremona label: 930m1 # (-1,0) (1,-10) (19,-100) (1,8) (19,80) (9,-40) (9,30) (3,-16) (3,12) (127,-1504) (-11/16,215/64) (127,1376) (-11/16,-235/64) (481/9,10010/27) (-13/49,1716/343) (481/9,-11480/27) (-13/49,-1968/343) (6001/961,-824230/29791) (6001/961,608408/29791) (15739/3481,-4330700/205379) (15739/3481,3196720/205379) (49929/1600,10573887/64000) (49929/1600,-12635047/64000) (-5677460848557/6087672917041,-25130659709238851668/15020243229346517161) (-5677460848557/6087672917041,24118534858214840304/15020243229346517161) # # a-invariants: (1, 1, 1, -161, 119) # Cremona label: 930m2 # (3/4,-7/8) (-7,34) (21,70) (21,-92) (-7,-28) (13,14) (-591/49,-5636/343) (-591/49,9430/343) (13,-28) (-49/100,13819/1000) (-49/100,-14329/1000) (2037/16,-96041/64) (2037/16,87829/64) (23893/441,-3891308/9261) (23893/441,3380294/9261) (-24560767/1819801,33496012628/2454911549) (-24560767/1819801,-2818449494/2454911549) (39359901/3345241,-74046047650/6118445789) (39359901/3345241,-4061657068/6118445789) # # a-invariants: (1, 0, 0, 1389, -22239) # Cremona label: 930n1 # (14,-7) (138,1605) (138,-1743) (30,201) (30,-231) # # a-invariants: (1, 0, 0, -8531, -218655) # Cremona label: 930n2 # (-62,-239) (-62,301) (-113/4,113/8) (154,1381) (154,-1535) # # a-invariants: (1, 0, 0, -39651, -3060495) # Cremona label: 930n3 # (230,-115) # # a-invariants: (1, 0, 0, -635471, -195033699) # Cremona label: 930n4 # (-1841/4,1841/8) # # a-invariants: (1, 0, 0, 60, -1008) # Cremona label: 930o1 # (24,-132) (24,108) (8,-4) # # a-invariants: (1, 0, 0, -1220, -15600) # Cremona label: 930o2 # (-20,-20) (100,-980) (-24,12) (-20,40) (-65/4,65/8) (40,-20) (100,880) # # a-invariants: (1, 0, 0, -19220, -1027200) # Cremona label: 930o3 # (-80,40) (-321/4,321/8) (160,-80) # # a-invariants: (1, 0, 0, -3700, 67232) # Cremona label: 930o4 # (104,848) (191/4,-191/8) (-46,398) (104,-952) (14,128) (14,-142) (-46,-352) # # a-invariants: (1, 0, 0, -307520, -65664060) # Cremona label: 930o5 # (-1281/4,1281/8) # # a-invariants: (1, 0, 0, -18920, -1060740) # Cremona label: 930o6 # (639/4,-639/8) # # a-invariants: (0, -1, 1, -114, 727) # Cremona label: 931a1 # # # a-invariants: (0, -1, 1, 33, -8) # Cremona label: 931b1 # # # a-invariants: (0, -1, 1, -457, 4157) # Cremona label: 931b2 # # # a-invariants: (0, -1, 1, -37697, 2829742) # Cremona label: 931b3 # # # a-invariants: (0, 1, 1, -2, -3) # Cremona label: 931c1 # # # a-invariants: (0, -1, 1, -3, -1) # Cremona label: 933a1 # (-1,-1) (-1,0) (7,16) (7,-17) (-31/64,49/512) (-31/64,-561/512) (2743/1089,23471/35937) (2743/1089,-59408/35937) (76445569/23814400,351014556353/116214272000) (76445569/23814400,-467228828353/116214272000) # # a-invariants: (0, 1, 1, -399, -3184) # Cremona label: 933b1 # (-12,4) (-12,-5) (24,40) (24,-41) (-183/16,211/64) (-183/16,-275/64) (240,-3713) (240,3712) (-612/49,757/343) (-612/49,-1100/343) (2361/64,93683/512) (2361/64,-94195/512) (4622784/75625,9395967173/20796875) (4622784/75625,-9416764048/20796875) # # a-invariants: (1, 0, 1, -3, 0) # Cremona label: 934a1 # (0,-1) (0,0) (6,11) (6,-18) (-29/36,277/216) (-29/36,-319/216) (1470/841,-67865/24389) (1470/841,846/24389) (-103704/60025,11205571/14706125) (-103704/60025,-504216/14706125) # # a-invariants: (1, 0, 0, -129, 521) # Cremona label: 934b1 # (10,11) (10,-21) # # a-invariants: (1, 0, 0, -1889, -31639) # Cremona label: 934b2 # # # a-invariants: (1, -1, 1, -183, -905) # Cremona label: 934c1 # # # a-invariants: (0, 1, 1, -1, -4) # Cremona label: 935a1 # (2,-3) (2,2) (4,-9) (4,8) (93/4,911/8) (93/4,-919/8) (424/289,-956/4913) (424/289,-3957/4913) (74078/5929,20644126/456533) (74078/5929,-21100659/456533) (3010585/535824,-5737054949/392223168) (3010585/535824,5344831781/392223168) # # a-invariants: (0, 1, 1, -13155, 576381) # Cremona label: 935b1 # (65,12) (65,-13) # # a-invariants: (0, 1, 1, -9655, 893306) # Cremona label: 935b2 # # # a-invariants: (0, 0, 0, 9, 10) # Cremona label: 936a1 # (-1,0) (2,-6) (3,8) (2,6) (3,-8) (-15/16,-55/64) (191,-2640) (191,2640) (-15/16,55/64) (9698/2209,-1202418/103823) (9698/2209,1202418/103823) (4867/3969,1196056/250047) (4867/3969,-1196056/250047) (9237441/193600,-28132230239/85184000) (9237441/193600,28132230239/85184000) # # a-invariants: (0, 0, 0, -51, 94) # Cremona label: 936a2 # (2,0) (-1,-12) (-1,12) (15,52) (15,-52) (6,2) (-31/4,-39/8) (6,-2) (-31/4,39/8) (799/81,17108/729) (-145/49,5076/343) (799/81,-17108/729) (-145/49,-5076/343) (5426/3025,479076/166375) (3057/16,-168905/64) (3057/16,168905/64) (5426/3025,-479076/166375) (58010086/8767521,-176482891558/25960629681) (58010086/8767521,176482891558/25960629681) # # a-invariants: (0, 0, 0, -147, 718) # Cremona label: 936b1 # # # a-invariants: (0, 0, 0, 42, -335) # Cremona label: 936c1 # (5,0) # # a-invariants: (0, 0, 0, -543, -4430) # Cremona label: 936c2 # (-10,0) # # a-invariants: (0, 0, 0, -5862, -162295) # Cremona label: 936d1 # (-35,0) # # a-invariants: (0, 0, 0, 5073, -698110) # Cremona label: 936d2 # (70,0) # # a-invariants: (0, 0, 0, -66, -119) # Cremona label: 936e1 # (-7,0) (20,-81) (-4,9) (20,81) (-4,-9) (-31/16,81/64) (9,4) (9,-4) (-31/16,-81/64) (3716/121,217971/1331) (-820/169,-20493/2197) (-820/169,20493/2197) (3716/121,-217971/1331) (-209191/30625,-19408248/5359375) (30177/64,5241425/512) (-209191/30625,19408248/5359375) (30177/64,-5241425/512) (99659684/6901129,798407374203/18129265883) (99659684/6901129,-798407374203/18129265883) (8556875209/876219201,335984469229196/25936964568801) (8556875209/876219201,-335984469229196/25936964568801) # # a-invariants: (0, 0, 0, -471, 3850) # Cremona label: 936e2 # (14,0) (-25,0) (11,0) (17/4,-351/8) (17/4,351/8) (2,54) (23,72) (27,104) (27,-104) (23,-72) (2,-54) (-1189/49,10800/343) (-1189/49,-10800/343) (225/16,175/64) (1886,81900) (225/16,-175/64) (6839/625,39312/15625) (6839/625,-39312/15625) (1886,-81900) (671927/20449,451606104/2924207) (865723/42849,450636472/8869743) (865723/42849,-450636472/8869743) (671927/20449,-451606104/2924207) (924502401/1960000,28080825086399/2744000000) (924502401/1960000,-28080825086399/2744000000) # # a-invariants: (0, 0, 0, -7491, 249550) # Cremona label: 936e3 # (50,0) (47,-36) (47,36) (209/4,-225/8) (2447/49,36/343) (-97,-252) (54,50) (-97,252) (2447/49,-36/343) (54,-50) (209/4,225/8) (500049/10000,218407/1000000) (500049/10000,-218407/1000000) (92450/49,28080900/343) (92450/49,-28080900/343) # # a-invariants: (0, 0, 0, 69, 12166) # Cremona label: 936e4 # (-22,0) (95,-936) (-9,-104) (95,936) (-9,104) (14,-126) (81/4,-1183/8) (81/4,1183/8) (14,126) (5095/81,-375544/729) (5095/81,375544/729) (-2161/529,1322568/12167) (-2161/529,-1322568/12167) (-16623/784,-751225/21952) (1178714/625,1279726812/15625) (1178714/625,-1279726812/15625) (-16623/784,751225/21952) # # a-invariants: (0, 0, 0, 81, -270) # Cremona label: 936f1 # (3,0) # # a-invariants: (0, 0, 0, -459, -2538) # Cremona label: 936f2 # (-6,0) # # a-invariants: (0, 0, 0, -30, 133) # Cremona label: 936g1 # (-7,0) (6,13) (2,9) (6,-13) (2,-9) (89/4,-819/8) (89/4,819/8) (-3,14) (-3,-14) (554/25,12717/125) (554/25,-12717/125) (-242/81,10205/729) (-242/81,-10205/729) (4713/784,-286133/21952) (4713/784,286133/21952) (5143326,11664498677) (-2769478/395641,-12838509/248858189) (5143326,-11664498677) (-2769478/395641,12838509/248858189) # # a-invariants: (0, 0, 0, -615, 5866) # Cremona label: 936g2 # (14,0) (5,54) (5,-54) (17,18) (17,-18) (-13,108) (15,-4) (15,4) (-13,-108) (341/25,-486/125) (89,-810) (341/25,486/125) (89,810) (105/4,707/8) (578/49,-5454/343) (578/49,5454/343) (105/4,-707/8) (20033/1369,306/50653) (-8275/289,1998/4913) (-8275/289,-1998/4913) (20033/1369,-306/50653) (52999/2025,7995068/91125) (52999/2025,-7995068/91125) (2034910641975/395641,-2902806016338277444/248858189) (2034910641975/395641,2902806016338277444/248858189) # # a-invariants: (0, 0, 0, -30, 29) # Cremona label: 936h1 # (1,0) (10,-27) (-2,9) (-2,-9) (10,27) (5,-2) (5,2) (-23/4,27/8) (-23/4,-27/8) (466/25,-9639/125) (-26/49,2295/343) (466/25,9639/125) (-26/49,-2295/343) (1417/1849,-202068/79507) (1417/1849,202068/79507) (1865/16,80453/64) (1865/16,-80453/64) (777250/116281,-447061383/39651821) (777250/116281,447061383/39651821) (18505621/3186225,-40489042294/5687411625) (18505621/3186225,40489042294/5687411625) # # a-invariants: (0, 0, 0, 105, 218) # Cremona label: 936h2 # (-2,0) (37,234) (1,18) (37,-234) (1,-18) (7,-36) (11,52) (7,36) (11,-52) (-11/25,-1638/125) (73,630) (-11/25,1638/125) (73,-630) (-7/4,43/8) (466,-10062) (466,10062) (-7/4,-43/8) (2641/121,-151218/1331) (2797/961,697554/29791) (2797/961,-697554/29791) (2641/121,151218/1331) (10723/2601,-3561740/132651) (20959/1225,3593052/42875) (10723/2601,3561740/132651) (20959/1225,-3593052/42875) (-127319/89401,216466758/26730899) (-127319/89401,-216466758/26730899) (3441473/29584,-6409509023/5088448) (3441473/29584,6409509023/5088448) # # a-invariants: (0, 0, 0, -354, -2563) # Cremona label: 936i1 # (-11,0) # # a-invariants: (0, 0, 0, -399, -1870) # Cremona label: 936i2 # (-17,0) (22,0) (-5,0) # # a-invariants: (0, 0, 0, -2739, 53822) # Cremona label: 936i3 # (34,0) # # a-invariants: (0, 0, 0, 1221, -13210) # Cremona label: 936i4 # (10,0) # # a-invariants: (1, 0, 1, -4, -2) # Cremona label: 938a1 # (-1,-1) (-1,1) (2,-1) (2,-2) (-11/9,-25/27) (-11/9,31/27) (86,-842) (86,755) (-673/841,-22819/24389) (-673/841,17947/24389) (15709/7056,-1935781/592704) (15709/7056,23521/592704) # # a-invariants: (1, 0, 1, -365, 13608) # Cremona label: 938b1 # (-29,14) (3,-114) (38,215) (38,-254) (3,110) (-4,-121) (-4,124) (1419/25,-56138/125) (1419/25,48918/125) (-977/36,-10309/216) (1123,37070) (-977/36,15955/216) (1123,-38194) (25731/961,-4953646/29791) (25731/961,4126194/29791) (236/25,12476/125) (236/25,-13781/125) (27062/289,4169383/4913) (27062/289,-4634350/4913) (-6093/529,-1489950/12167) (-6093/529,1617922/12167) (-15766949/714025,-56953968986/603351125) (647209/2304,504275123/110592) (647209/2304,-535451747/110592) (-15766949/714025,69673689766/603351125) (-6660857716/351750025,-716094894044483/6597071718875) (-6660857716/351750025,834422208789188/6597071718875) # # a-invariants: (1, 0, 1, -11085, 446696) # Cremona label: 938b2 # (231/4,-235/8) (70,87) (-28,871) (-28,-844) (70,-158) (14,535) (14,-550) (2044/25,32043/125) (2044/25,-42388/125) (3633/64,-32533/512) (40495/36,7993787/216) (40495/36,-8236973/216) (3633/64,2957/512) (1566796/24025,53090229/3723875) (1566796/24025,-299667484/3723875) (-1214626/14641,-1508979910/1771561) (-1214626/14641,1654178095/1771561) (16988470/152881,-49274156258/59776471) (16988470/152881,42571888017/59776471) (473504650129/1645113600,297022148126839663/66725807616000) (473504650129/1645113600,-316294222543687903/66725807616000) # # a-invariants: (1, 1, 1, -56, -135) # Cremona label: 938c1 # (-5,9) (-5,-5) (9,-19) (9,9) (-3,-3) (-3,5) (37,-243) (37,205) (-59/9,47/27) (-59/9,103/27) (25,-135) (25,109) (-69/25,439/125) (-69/25,-219/125) (165/16,-1825/64) (165/16,1101/64) (-269/49,-1457/343) (-269/49,2997/343) (6913/9,564835/27) (6913/9,-585601/27) (-22643/5041,3133755/357911) (-22643/5041,-1884013/357911) (30669/3721,597921/226981) (30669/3721,-2695711/226981) (3352801/55225,-6554754729/12977875) (3352801/55225,5753868619/12977875) (50804161/2795584,294554591077/4674216448) (50804161/2795584,-384173364717/4674216448) # # a-invariants: (1, 0, 0, -179, 737) # Cremona label: 938d1 # (14,25) (14,-39) # # a-invariants: (1, 0, 0, -4339, -110303) # Cremona label: 938d2 # (114,881) (114,-995) # # a-invariants: (1, 0, 0, -351399, -80206123) # Cremona label: 938d3 # # # a-invariants: (0, -1, 1, -321, -9817) # Cremona label: 939a1 # (29,66) (29,-67) (3588463/17689,-6751460087/2352637) (3588463/17689,6749107450/2352637) # # a-invariants: (1, 0, 1, -6, -5) # Cremona label: 939b1 # (-1,0) (-5/4,-5/8) (11,30) (11,-42) (-5/4,7/8) (-4129/2401,-28440/117649) (1825/576,-76979/13824) (-4129/2401,113112/117649) (1825/576,19355/13824) # # a-invariants: (1, 0, 1, 9, -23) # Cremona label: 939b2 # (7/4,-11/8) (565/144,-19591/1728) (43/4,-341/8) (565/144,11083/1728) (43/4,247/8) (3386497/1382976,3840756683/1626379776) (3386497/1382976,-9449656931/1626379776) # # a-invariants: (0, 1, 1, 4, 14) # Cremona label: 939c1 # (1,4) (1,-5) (-2,-2) (-2,1) (4,10) (4,-11) (19,85) (19,-86) (-3/4,23/8) (-3/4,-31/8) (-41/49,-1310/343) (-41/49,967/343) (424/25,8993/125) (424/25,-9118/125) (1546/361,74251/6859) (1546/361,-81110/6859) (10321/11664,4899295/1259712) (10321/11664,-6159007/1259712) (1721701/289,-2259298120/4913) (1721701/289,2259293207/4913) (3507058/3136441,22901081146/5554637011) (3507058/3136441,-28455718157/5554637011) (-107563616/52809289,323162666542/383765103163) (-107563616/52809289,-706927769705/383765103163) # # a-invariants: (0, 1, 0, 21619, -57905) # Cremona label: 940a1 # # # a-invariants: (0, 0, 0, -103, 398) # Cremona label: 940b1 # # # a-invariants: (0, 1, 0, -7076, 226340) # Cremona label: 940c1 # (56,-94) (56,94) (-85,470) (316/9,-4042/27) (316/9,4042/27) (44,46) (-85,-470) (44,-46) (39944/529,4357378/12167) (161849/400,-63885643/8000) (845416/16641,50745806/2146689) (845416/16641,-50745806/2146689) (39944/529,-4357378/12167) (161849/400,63885643/8000) # # a-invariants: (0, 1, 0, -31516, -1956716) # Cremona label: 940c2 # (-1061/9,9890/27) (-1061/9,-9890/27) (1475166031561/3521235600,-1598722010816970509/208950120504000) (1475166031561/3521235600,1598722010816970509/208950120504000) # # a-invariants: (0, -1, 0, -20, 40) # Cremona label: 940d1 # (2,2) (2,-2) (6,10) (6,-10) (-3,-8) (-3,8) (86/25,34/125) (86/25,-34/125) (-158/81,6002/729) (-158/81,-6002/729) (1961/256,68245/4096) (1961/256,-68245/4096) (57282/25921,5458942/4173281) (57282/25921,-5458942/4173281) (1771926/7225,-2353473026/614125) (1771926/7225,2353473026/614125) # # a-invariants: (0, -1, 0, -45, -103) # Cremona label: 940e1 # # # a-invariants: (1, 0, 1, 15, 4) # Cremona label: 942a1 # # # a-invariants: (1, 1, 1, -215539, -38605903) # Cremona label: 942b1 # # # a-invariants: (1, 0, 0, 146, 37508) # Cremona label: 942c1 # (-28,122) (-28,-94) (188,2498) (188,-2686) (-4,-190) (-4,194) (44,-382) (44,338) (26,230) (26,-256) (8,194) (8,-202) (92,-958) (92,866) (-484/25,-19526/125) (-484/25,21946/125) (1052,33602) (1052,-34654) (-32,34) (-32,-2) (566,-13756) (566,13190) (-1876/121,-226202/1331) (-1876/121,246838/1331) (3644/49,-245650/343) (3644/49,220142/343) (4508/361,1351382/6859) (4508/361,-1437034/6859) (17492/841,5180818/24389) (17492/841,-5688086/24389) (5291/100,414059/1000) (5291/100,-466969/1000) (-7948/961,5756126/29791) (-7948/961,-5509738/29791) (645964/81,516275362/729) (645964/81,-522089038/729) (-2260714/89401,3904916530/26730899) (-2260714/89401,-3228963044/26730899) # # a-invariants: (1, 0, 0, -65, 201) # Cremona label: 942d1 # (4,1) (4,-5) (-2,19) (-2,-17) (10,-29) (10,19) (6,-9) (6,3) (-8,-11) (-8,19) (19/4,-1/8) (19/4,-37/8) (40,-269) (40,229) (22/9,-239/27) (22/9,173/27) (106/49,-3275/343) (106/49,2533/343) (814/25,-24697/125) (814/25,20627/125) (1396/289,-23455/4913) (1396/289,-277/4913) (-543/64,8643/512) (-543/64,-4299/512) (12820/2209,-847297/103823) (12820/2209,244757/103823) (-39638/28561,-78708869/4826809) (-39638/28561,85407691/4826809) (3144520/961,-5625048851/29791) (3144520/961,5527568731/29791) (11767123/2869636,3449050361/4861163384) (11767123/2869636,-23382556723/4861163384) # # a-invariants: (1, -1, 0, -13, 24) # Cremona label: 943a1 # (-4,2) # # a-invariants: (1, -1, 0, -218, 1295) # Cremona label: 943a2 # (35/4,-35/8) # # a-invariants: (0, 1, 0, 4, -4) # Cremona label: 944a1 # (2,-4) (2,4) (5/4,17/8) (5/4,-17/8) (562/9,-13436/27) (562/9,13436/27) (15857/4624,2471951/314432) (15857/4624,-2471951/314432) # # a-invariants: (0, 1, 0, -276, 1676) # Cremona label: 944b1 # (10,-4) (10,4) (37/4,-1/8) (37/4,1/8) (58/9,388/27) (58/9,-388/27) (-143/16,3791/64) (-143/16,-3791/64) # # a-invariants: (0, 1, 0, 8, -12) # Cremona label: 944c1 # (2,4) (2,-4) (4,-10) (4,10) (42,276) (42,-276) (31/25,146/125) (31/25,-146/125) (3482/361,-222844/6859) (3482/361,222844/6859) (48244/4761,-11437730/328509) (48244/4761,11437730/328509) # # a-invariants: (0, 0, 0, 2, -1) # Cremona label: 944d1 # # # a-invariants: (0, 0, 0, -19, 34) # Cremona label: 944e1 # (1,-4) (1,4) (3,-2) (3,2) (5,8) (5,-8) (-3,8) (-3,-8) (2,-2) (2,2) (-5,-2) (-5,2) (11,-34) (11,34) (-2,8) (-2,-8) (17,68) (17,-68) (25/9,44/27) (25/9,-44/27) (9/4,13/8) (9/4,-13/8) (33,-188) (33,188) (37/9,-136/27) (37/9,136/27) (61/25,184/125) (61/25,-184/125) (25/4,-101/8) (25/4,101/8) (9/25,652/125) (9/25,-652/125) (109/49,568/343) (109/49,-568/343) (11/25,-634/125) (11/25,634/125) (-15/16,-457/64) (-15/16,457/64) (163/49,-946/343) (163/49,946/343) (163/9,-2026/27) (163/9,2026/27) (261,-4216) (261,4216) (-223/49,1756/343) (-223/49,-1756/343) (-29/81,4654/729) (-29/81,-4654/729) (206,2956) (206,-2956) (-227/121,10568/1331) (-227/121,-10568/1331) (243/169,6826/2197) (243/169,-6826/2197) (-1459/361,-45896/6859) (-1459/361,45896/6859) (2465/961,-43588/29791) (2465/961,43588/29791) (-1815/361,10708/6859) (-1815/361,-10708/6859) (1038/289,17084/4913) (1038/289,-17084/4913) (1073/256,21673/4096) (1073/256,-21673/4096) (2315/841,-38998/24389) (2315/841,38998/24389) (1410/289,37234/4913) (1410/289,-37234/4913) (2357/1369,-128056/50653) (2357/1369,128056/50653) (2497/1681,207388/68921) (2497/1681,-207388/68921) (6073/1849,-210764/79507) (6073/1849,210764/79507) (6997/121,-583672/1331) (6997/121,583672/1331) (10553/3481,423988/205379) (10553/3481,-423988/205379) (-4286/1089,-248498/35937) (-4286/1089,248498/35937) (28965/4489,4035656/300763) (28965/4489,-4035656/300763) (28555/361,4818122/6859) (28555/361,-4818122/6859) (31851/4225,4906526/274625) (31851/4225,-4906526/274625) (-8447/2704,1114879/140608) (-8447/2704,-1114879/140608) (19042/2209,2346406/103823) (19042/2209,-2346406/103823) (17497/10404,2767931/1061208) (17497/10404,-2767931/1061208) (122281/15625,37294804/1953125) (122281/15625,-37294804/1953125) (87013/42849,17269496/8869743) (87013/42849,-17269496/8869743) (112603/3721,37414858/226981) (112603/3721,-37414858/226981) (374761/35721,-212362156/6751269) (374761/35721,212362156/6751269) (413429/25,265828408/125) (413429/25,-265828408/125) (-250231/52900,-51668147/12167000) (-250231/52900,51668147/12167000) (-2840743/988036,-7909505477/982107784) (-2840743/988036,7909505477/982107784) (-311170/10962721,-213321281552/36297569231) (-311170/10962721,213321281552/36297569231) (72546697/1110916,616571530573/1170905464) (72546697/1110916,-616571530573/1170905464) (-1324996027074/319757451841,-1165934895107827424/180813566049982111) (-1324996027074/319757451841,1165934895107827424/180813566049982111) # # a-invariants: (0, 1, 0, -1, -2) # Cremona label: 944f1 # # # a-invariants: (0, 1, 0, 888, 14068) # Cremona label: 944g1 # # # a-invariants: (0, 1, 0, -400, -3308) # Cremona label: 944h1 # (66,512) (66,-512) (93/4,-179/8) (93/4,179/8) (1196722/29241,-1124167168/5000211) (1196722/29241,1124167168/5000211) # # a-invariants: (0, 1, 0, 1840, 162452) # Cremona label: 944h2 # (146,1888) (146,-1888) (53/4,-3481/8) (53/4,3481/8) (-3278/81,-111392/729) (-3278/81,111392/729) (-319/16,22007/64) (-319/16,-22007/64) (1346/25,81056/125) (1346/25,-81056/125) (180349/324,76921309/5832) (180349/324,-76921309/5832) (131104802/203401,1506099039712/91733851) (131104802/203401,-1506099039712/91733851) # # a-invariants: (0, 1, 0, 8, -44) # Cremona label: 944i1 # (6,16) (6,-16) (3,-4) (3,4) (310/9,-5552/27) (310/9,5552/27) (1233/64,44729/512) (1233/64,-44729/512) # # a-invariants: (0, -1, 0, -9, -8) # Cremona label: 944j1 # (4,-2) (4,2) (849/16,24463/64) (849/16,-24463/64) # # a-invariants: (0, -1, 0, 31, -68) # Cremona label: 944j2 # (24,118) (24,-118) (89/16,1003/64) (89/16,-1003/64) (56/25,346/125) (56/25,-346/125) (51849/18496,-14465797/2515456) (51849/18496,14465797/2515456) # # a-invariants: (0, 1, 0, -64, 180) # Cremona label: 944k1 # (2,-8) (2,8) (4,2) (4,-2) (18,72) (18,-72) (-5,-20) (-5,20) (242/49,1016/343) (242/49,-1016/343) (484/81,-4978/729) (484/81,4978/729) (-4702/529,-136376/12167) (-4702/529,136376/12167) (14401/1600,-1302401/64000) (14401/1600,1302401/64000) (327094322/4231249,-5923478466424/8703679193) (327094322/4231249,5923478466424/8703679193) # # a-invariants: (1, -1, 0, -11, -11) # Cremona label: 946a1 # (-2,1) # # a-invariants: (1, -1, 0, -31, 57) # Cremona label: 946a2 # (2,-1) (19/4,-19/8) (-6,3) # # a-invariants: (1, -1, 0, -461, 3927) # Cremona label: 946a3 # (51/4,-51/8) # # a-invariants: (1, -1, 0, 79, 299) # Cremona label: 946a4 # (-13/4,13/8) # # a-invariants: (1, 0, 1, 14, -8) # Cremona label: 946b1 # (2,-7) (2,4) (35,191) (5,-17) (7/9,-79/27) (5,11) (35,-227) (7/9,31/27) (3032/361,152341/6859) (3376/225,-230744/3375) (107/196,-3863/2744) (107/196,-379/2744) (3376/225,176729/3375) (3032/361,-216808/6859) (359049116897/2379098176,206576555776497269/116042892632576) (359049116897/2379098176,-224205578394897917/116042892632576) # # a-invariants: (1, 0, 1, -261, -1680) # Cremona label: 946b2 # (51,318) (51,-370) (75/4,-165/8) (75/4,7/8) (331/9,-5830/27) (331/9,4810/27) (86985/64,25307023/512) (86985/64,-26003415/512) (32461731/421201,170139370190/273359449) (32461731/421201,-191480393058/273359449) (317594131/15920100,-2830886447299/63521199000) (317594131/15920100,1500164665609/63521199000) # # a-invariants: (1, 0, 0, -1806, -29692) # Cremona label: 946c1 # # # a-invariants: (0, -1, 0, -17, -78) # Cremona label: 948a1 # (6,0) # # a-invariants: (0, -1, 0, -412, -3080) # Cremona label: 948a2 # (-11,0) # # a-invariants: (0, -1, 0, -796, 8968) # Cremona label: 948b1 # # # a-invariants: (0, 1, 0, 12, 36) # Cremona label: 948c1 # (0,-6) (0,6) # # a-invariants: (0, 1, 0, -108, -1068) # Cremona label: 948c2 # # # a-invariants: (1, 0, 1, -1, 148) # Cremona label: 950a1 # (2,-14) (2,11) (-4,-8) (-4,11) (547/36,-14899/216) (547/36,11401/216) (4868/361,-402032/6859) (4868/361,302681/6859) # # a-invariants: (1, 0, 1, -1751, -31352) # Cremona label: 950a2 # (52,-164) (52,111) (52666/121,-12321898/1331) (52666/121,11741241/1331) # # a-invariants: (1, 1, 0, -750, -12500) # Cremona label: 950b1 # # # a-invariants: (1, 1, 0, -69500, -7081250) # Cremona label: 950b2 # # # a-invariants: (1, -1, 0, -1192, 17216) # Cremona label: 950c1 # # # a-invariants: (1, 0, 0, 37, 167) # Cremona label: 950d1 # # # a-invariants: (1, 1, 1, -388, 2781) # Cremona label: 950e1 # (15,-33) (15,17) (11,-7) (11,-5) (35/4,-139/8) (35/4,61/8) (-21,57) (-21,-37) (415/81,20393/729) (415/81,-24857/729) (2769/256,-29377/4096) (2769/256,-19023/4096) (174815/14161,-25283497/1685159) (174815/14161,2795353/1685159) (284939/2209,-157908971/103823) (284939/2209,144413015/103823) (26360835/1119364,87404877429/1184287112) (26360835/1119364,-116478927971/1184287112) # # a-invariants: (1, 1, 1, 237, 11281) # Cremona label: 950e2 # (95,-998) (95,902) (19,-162) (19,142) (-5,-98) (-5,102) (-19,28) (-19,-10) (-95/9,-2246/27) (-95/9,2504/27) (11,118) (11,-130) (2755/49,-165614/343) (2755/49,145986/343) (1159,38902) (1159,-40062) (755/4,20141/8) (755/4,-21659/8) (6631/225,-767074/3375) (6631/225,664234/3375) (-16181/961,-1358142/29791) (-16181/961,1829962/29791) (341069/82369,2567107780/23639903) (341069/82369,-2688634486/23639903) (505976689/11182336,-13667652505567/37393731584) (505976689/11182336,11938272725967/37393731584) # # a-invariants: (1, 1, 1, -2138, -306969) # Cremona label: 950e3 # (105,747) (105,-853) (169,-2133) (169,1963) (1705,69547) (1705,-71253) (81,-285) (81,203) (3145/9,-179231/27) (3145/9,169769/27) (51681/121,11388945/1331) (51681/121,-11958767/1331) (3253345/41209,965007569/8365427) (3253345/41209,-1633802031/8365427) (4314289/3721,8826276087/226981) (4314289/3721,-9089674697/226981) # # a-invariants: (1, -1, 0, -96, -640) # Cremona label: 954a1 # (13,-20) (13,7) (185,2415) (185,-2600) (519997/29584,-317381699/5088448) (519997/29584,227942215/5088448) (1178876321/25150225,-42075870071751/126128378375) (1178876321/25150225,36163805321936/126128378375) # # a-invariants: (1, -1, 0, 12, -100) # Cremona label: 954b1 # (4,-2) # # a-invariants: (1, -1, 0, -258, -1450) # Cremona label: 954b2 # (-29/4,29/8) # # a-invariants: (1, -1, 0, -108, -1328) # Cremona label: 954c1 # # # a-invariants: (1, -1, 0, 18, 202) # Cremona label: 954d1 # (11,35) (11,-46) (-1,-13) (-1,14) (-67/16,-271/64) (-67/16,539/64) (31/9,418/27) (31/9,-511/27) (12899/289,-1570598/4913) (12899/289,1351315/4913) (73649/1600,-21402787/64000) (73649/1600,18456827/64000) # # a-invariants: (1, -1, 0, -2547, 63477) # Cremona label: 954e1 # (166,-2131) (166,1965) (49,-258) (49,209) (359542/13689,-211763447/1601613) (359542/13689,169697033/1601613) # # a-invariants: (1, -1, 0, -221427, 40159989) # Cremona label: 954e2 # (271,-109) (271,-162) (310,-1267) (1750/9,-59441/27) (45958/169,-300847/2197) (45958/169,-296607/2197) (1750/9,54191/27) (310,957) (-1816559/4225,-1991346306/274625) (44273539/161604,-12678210787/64964808) (44273539/161604,-5119751891/64964808) (-1816559/4225,2109422641/274625) # # a-invariants: (1, -1, 0, 9, -27) # Cremona label: 954f1 # (3,3) (3,-6) (7,-22) (7,15) (381/16,-8133/64) (381/16,6609/64) (3031/1369,-39838/50653) (3031/1369,-72309/50653) (256048129/42928704,-4935959694037/281268868608) (256048129/42928704,3258332352829/281268868608) # # a-invariants: (1, -1, 0, -81, 783) # Cremona label: 954f2 # (1,-27) (1,26) (-3,33) (69/16,-1569/64) (69/16,1293/64) (213,2994) (-3,-30) (213,-3207) (9073/169,-907054/2197) (-4247/576,474487/13824) (-4247/576,-372559/13824) (361/49,-9274/343) (9073/169,789105/2197) (361/49,6747/343) # # a-invariants: (1, -1, 1, 1, 3) # Cremona label: 954g1 # (-1,0) # # a-invariants: (1, -1, 1, -29, 63) # Cremona label: 954g2 # (11/4,-15/8) # # a-invariants: (1, -1, 1, -11, 27) # Cremona label: 954h1 # (-1,-6) (-1,6) (3,2) (3,-6) (5,6) (5,-12) (-3,6) (-3,-4) (35,-222) (35,186) (7/9,-142/27) (7/9,94/27) (29/16,129/64) (29/16,-309/64) (279/25,-5102/125) (279/25,3582/125) (-1381/361,14334/6859) (-1381/361,5046/6859) (2637/289,98316/4913) (2637/289,-148058/4913) (12125/5929,832308/456533) (12125/5929,-2222466/456533) (14563/31329,-30252062/5545233) (14563/31329,22129178/5545233) (45626825917/54066609,9573740055984374/397551775977) (45626825917/54066609,-9909631658728052/397551775977) # # a-invariants: (1, -1, 1, -248, 1563) # Cremona label: 954i1 # (11,-15) (11,3) (9,-3) (9,-7) (-7,-51) (-7,57) (3,-31) (3,27) (149/16,-393/64) (149/16,-267/64) (139/9,-1175/27) (139/9,731/27) (1841/25,-81579/125) (1841/25,72249/125) (8241/841,-67683/24389) (8241/841,-195695/24389) (-54687/3136,-1833411/175616) (-54687/3136,4720267/175616) # # a-invariants: (1, -1, 1, 1273, -3585) # Cremona label: 954j1 # (11,-114) (11,102) (35,-306) (35,270) (227,-3570) (227,3342) (3,14) (3,-18) (119,-1410) (119,1290) (53,432) (53,-486) (323/49,23106/343) (323/49,-25710/343) (1635,65294) (1635,-66930) (14651/841,3526854/24389) (14651/841,-3976122/24389) (14531/625,-3242754/15625) (14531/625,2863854/15625) (70181/121,18228462/1331) (70181/121,-19001784/1331) (11935/2601,-6787030/132651) (11935/2601,6045694/132651) # # a-invariants: (1, -1, 1, -545, -4759) # Cremona label: 954k1 # # # a-invariants: (1, -1, 1, 400, -19501) # Cremona label: 954k2 # (37,-231) (37,193) # # a-invariants: (1, -1, 1, 58, 303) # Cremona label: 954l1 # # # a-invariants: (1, -1, 1, -68, -201) # Cremona label: 954m1 # # # a-invariants: (1, -1, 1, -1038, 13292) # Cremona label: 955a1 # (-37,18) # # a-invariants: (1, -1, 1, -16663, 832042) # Cremona label: 955a2 # (299/4,-303/8) # # a-invariants: (0, 0, 0, -1, -3) # Cremona label: 956a1 # # # a-invariants: (1, 1, 0, -491, 3984) # Cremona label: 957a1 # (12,-6) # # a-invariants: (1, 1, 0, -346, 6565) # Cremona label: 957a2 # (-101/4,101/8) # # a-invariants: (0, -1, 0, 4, 6) # Cremona label: 960a1 # (-1,0) (5/4,27/8) (3,6) (5/4,-27/8) (3,-6) (1247/49,-43308/343) (1247/49,43308/343) (-95/144,-2807/1728) (-95/144,2807/1728) (2197061/302500,-3180480309/166375000) (24771/277729,368809650/146363183) (2197061/302500,3180480309/166375000) (24771/277729,-368809650/146363183) # # a-invariants: (0, -1, 0, -41, 105) # Cremona label: 960a2 # (5,0) (-7,0) (3,0) (8,-15) (-1,-12) (-1,12) (8,15) (1,8) (13,-40) (1,-8) (13,40) (101,-1008) (21/4,-21/8) (-53/9,-280/27) (137/49,-720/343) (137/49,720/343) (101,1008) (21/4,21/8) (-53/9,280/27) (1391/625,-69564/15625) (1391/625,69564/15625) (5773/961,187000/29791) (-1055/289,-68200/4913) (3488/121,-197625/1331) (-1055/289,68200/4913) (5773/961,-187000/29791) (3488/121,197625/1331) (-772807/231361,-1548116640/111284641) (181969/7056,-73873423/592704) (-772807/231361,1548116640/111284641) (181969/7056,73873423/592704) (1084056973/8473921,-35508808680760/24667584031) (1084056973/8473921,35508808680760/24667584031) (701693804469/84013022500,404144515975313547/24351174571625000) (701693804469/84013022500,-404144515975313547/24351174571625000) # # a-invariants: (0, -1, 0, -161, -639) # Cremona label: 960a3 # (-9,0) (-5,4) (16,25) (16,-25) (-5,-4) (405/4,8043/8) (-3569/441,-76600/9261) (-3569/441,76600/9261) (405/4,-8043/8) (-1160501/180625,-723857068/76765625) (3469096/116281,-5638549375/39651821) (3469096/116281,5638549375/39651821) (-1160501/180625,723857068/76765625) # # a-invariants: (0, -1, 0, -641, 6465) # Cremona label: 960a4 # (15,0) (19,28) (16,7) (16,-7) (19,-28) (919/9,-26936/27) (2949/196,1443/2744) (2949/196,-1443/2744) (919/9,26936/27) (1125160/34969,-880157425/6539203) (9149251/600625,-849493876/465484375) (1125160/34969,880157425/6539203) (9149251/600625,849493876/465484375) (48074986129/1632483216,-7303402433001583/65958851859264) (48074986129/1632483216,7303402433001583/65958851859264) # # a-invariants: (0, -1, 0, -61, 205) # Cremona label: 960b1 # (5,0) (4,3) (1,-12) (1,12) (4,-3) (21,-88) (21,88) (21/4,-11/8) (21/4,11/8) (1345/289,-2460/4913) (-164/25,2091/125) (-164/25,-2091/125) (1345/289,2460/4913) (13649/1936,-740943/85184) (27589/3969,-2069936/250047) (27589/3969,2069936/250047) (13649/1936,740943/85184) (-3205439/474721,5308817028/327082769) (-3205439/474721,-5308817028/327082769) (972282549/48580900,27508807641557/338608873000) (972282549/48580900,-27508807641557/338608873000) # # a-invariants: (0, -1, 0, -81, 81) # Cremona label: 960b2 # (9,0) (-9,0) (1,0) (81,-720) (81,720) (0,9) (0,-9) (-7,-16) (11,20) (-7,16) (11,-20) (85/4,-693/8) (-239/81,-12320/729) (85/4,693/8) (1017/49,-28512/343) (1017/49,28512/343) (-239/81,12320/729) (-369/121,22680/1331) (-369/121,-22680/1331) (-49896/7225,-9965583/614125) (129371/1681,45911900/68921) (-49896/7225,9965583/614125) (129371/1681,-45911900/68921) (69165265/7683984,8945146097/21300003648) (69165265/7683984,-8945146097/21300003648) # # a-invariants: (0, -1, 0, -801, -8415) # Cremona label: 960b3 # (33,0) (-17,0) (-15,0) (-783/49,-2400/343) (-16,-7) (83,700) (-16,7) (81,672) (83,-700) (81,-672) (-783/49,2400/343) (6469/196,9603/2744) (470433,-322660800) (470433,322660800) (-147017/9801,-135800/970299) (-147017/9801,135800/970299) (6469/196,-9603/2744) # # a-invariants: (0, -1, 0, 319, 321) # Cremona label: 960b4 # (-1,0) (80,729) (3,36) (3,-36) (80,-729) (99047/5929,-45728712/456533) (5605/324,-603757/5832) (99047/5929,45728712/456533) (5605/324,603757/5832) # # a-invariants: (0, -1, 0, -12801, -553215) # Cremona label: 960b5 # (-65,0) (-3184/49,-1/343) (131,28) (131,-28) (-3184/49,1/343) (92204869/196,-885381225597/2744) (92204869/196,885381225597/2744) # # a-invariants: (0, -1, 0, -321, -18879) # Cremona label: 960b6 # (31,0) (4019/49,242500/343) (80,679) (4019/49,-242500/343) (80,-679) (4610713831/9801,-313077451715000/970299) (4610713831/9801,313077451715000/970299) # # a-invariants: (0, -1, 0, 15, -15) # Cremona label: 960c1 # (1,0) # # a-invariants: (0, -1, 0, -65, -63) # Cremona label: 960c2 # (-1,0) (9,0) (-7,0) # # a-invariants: (0, -1, 0, -865, -9503) # Cremona label: 960c3 # (-17,0) # # a-invariants: (0, -1, 0, -545, 5025) # Cremona label: 960c4 # (15,0) (25,-80) (25,80) # # a-invariants: (0, -1, 0, -900, -10098) # Cremona label: 960d1 # (-17,0) # # a-invariants: (0, -1, 0, -905, -9975) # Cremona label: 960d2 # (35,0) (-19,0) (-15,0) # # a-invariants: (0, -1, 0, -1985, 19617) # Cremona label: 960d3 # (39,0) (-11,-200) (-11,200) # # a-invariants: (0, -1, 0, 95, -31775) # Cremona label: 960d4 # (31,0) # # a-invariants: (0, -1, 0, 95, 1057) # Cremona label: 960e1 # (-7,0) # # a-invariants: (0, -1, 0, -1185, 14625) # Cremona label: 960e2 # (-39,0) (15,0) (25,0) # # a-invariants: (0, -1, 0, -865, -31775) # Cremona label: 960e3 # (41,0) # # a-invariants: (0, -1, 0, -4385, -94815) # Cremona label: 960e4 # (-49,0) # # a-invariants: (0, -1, 0, -18465, 971937) # Cremona label: 960e5 # (79,0) (89,-160) (89,160) # # a-invariants: (0, -1, 0, -21345, -1190943) # Cremona label: 960e6 # (169,0) (-81,0) (-87,0) # # a-invariants: (0, -1, 0, -341345, -76646943) # Cremona label: 960e7 # (-337,0) # # a-invariants: (0, -1, 0, -29025, -249375) # Cremona label: 960e8 # (425,-8000) (175,0) (425,8000) # # a-invariants: (0, 1, 0, 4, -6) # Cremona label: 960f1 # (1,0) # # a-invariants: (0, 1, 0, -41, -105) # Cremona label: 960f2 # (7,0) (-3,0) (-5,0) # # a-invariants: (0, 1, 0, -641, -6465) # Cremona label: 960f3 # (-15,0) # # a-invariants: (0, 1, 0, -161, 639) # Cremona label: 960f4 # (9,0) # # a-invariants: (0, 1, 0, -1, 95) # Cremona label: 960g1 # (-5,0) # # a-invariants: (0, 1, 0, -321, 2079) # Cremona label: 960g2 # (-21,0) (9,0) (11,0) # # a-invariants: (0, 1, 0, -641, -3105) # Cremona label: 960g3 # (-23,0) (-5,0) (27,0) # # a-invariants: (0, 1, 0, -5121, 139359) # Cremona label: 960g4 # (41,0) # # a-invariants: (0, 1, 0, -8641, -311905) # Cremona label: 960g5 # (-53,0) (107,0) (-55,0) # # a-invariants: (0, 1, 0, 2239, -20961) # Cremona label: 960g6 # (9,0) # # a-invariants: (0, 1, 0, -138241, -19829665) # Cremona label: 960g7 # (-215,0) # # a-invariants: (0, 1, 0, -7041, -429345) # Cremona label: 960g8 # (105,0) # # a-invariants: (0, 1, 0, -900, 10098) # Cremona label: 960h1 # (17,0) (69/4,15/8) (69/4,-15/8) (21,-30) (21,30) (33,-132) (273/16,-33/64) (33,132) (273/16,33/64) (509/4,-11235/8) (509/4,11235/8) (7501/441,1070/9261) (7501/441,-1070/9261) (138873/7744,4672365/681472) (138873/7744,-4672365/681472) (130569/7225,4837272/614125) (130569/7225,-4837272/614125) (211497621/12432676,-5918754855/43837615576) (14848869/142129,-55356842490/53582633) (14848869/142129,55356842490/53582633) (211497621/12432676,5918754855/43837615576) # # a-invariants: (0, 1, 0, -905, 9975) # Cremona label: 960h2 # (15,0) (19,0) (-35,0) (25,60) (-5,-120) (55,360) (25,-60) (55,-360) (10,-45) (10,45) (-5,120) (115,1200) (13,-24) (13,24) (-17,-144) (-17,144) (85/4,-225/8) (115,-1200) (85/4,225/8) (175/9,-280/27) (505,11340) (175/9,280/27) (-30,-105) (-30,105) (505,-11340) (715/49,3240/343) (715/49,-3240/343) (859/25,-17952/125) (529/16,-8415/64) (565/121,-102000/1331) (529/16,8415/64) (565/121,102000/1331) (859/25,17952/125) (1135/289,-396000/4913) (1135/289,396000/4913) (36145/1849,-927420/79507) (69775/169,-18405720/2197) (24370/1681,-729495/68921) (-24365/841,2750280/24389) (-24365/841,-2750280/24389) (24370/1681,729495/68921) (36145/1849,927420/79507) (69775/169,18405720/2197) (224485/1764,104038775/74088) (4009435/190969,2159816400/83453453) (4009435/190969,-2159816400/83453453) (224485/1764,-104038775/74088) (98406055/3845521,-490356201240/7541066681) (98406055/3845521,490356201240/7541066681) (1063326961/55950400,427049268759/418508992000) (1063326961/55950400,-427049268759/418508992000) (184631377896085/1767043807204,-2426394838108590191025/2348934867003891608) (184631377896085/1767043807204,2426394838108590191025/2348934867003891608) # # a-invariants: (0, 1, 0, -1985, -19617) # Cremona label: 960h3 # (-39,0) (-29,-120) (-29,120) (211,3000) (211,-3000) (61,-300) (-14,75) (-14,-75) (61,300) (-101/9,1000/27) (51,-120) (-101/9,-1000/27) (51,120) (469/4,-9375/8) (-23,120) (-23,-120) (469/4,9375/8) (1651,-67080) (1651,67080) (-6341/169,-129000/2197) (-6341/169,129000/2197) (-1686/49,-32775/343) (-1686/49,32775/343) (4549/9,305900/27) (4549/9,-305900/27) (232699/2809,93129000/148877) (232699/2809,-93129000/148877) (-25301/1369,5336040/50653) (-25301/1369,-5336040/50653) (-363791/34969,25950000/6539203) (19369/400,-97053/8000) (19369/400,97053/8000) (-363791/34969,-25950000/6539203) (-1362989/77841,2180248120/21717639) (-1362989/77841,-2180248120/21717639) (129185341/312481,-1461346038300/174676879) (-47323094/1413721,171760394325/1680914269) (129185341/312481,1461346038300/174676879) (-47323094/1413721,-171760394325/1680914269) (43541802301/336869316,-8522378542196875/6182899425864) (43541802301/336869316,8522378542196875/6182899425864) # # a-invariants: (0, 1, 0, 95, 31775) # Cremona label: 960h4 # (23,-216) (-31,0) (23,216) (455,9720) (50,405) (455,-9720) (5,-180) (50,-405) (5,180) (-25,-120) (-25,120) (-43/4,1377/8) (113,-1224) (119,1320) (113,1224) (-289/25,-21384/125) (-43/4,-1377/8) (119,-1320) (-289/25,21384/125) (17375/361,2657880/6859) (3095/529,2195640/12167) (-230/9,3115/27) (-230/9,-3115/27) (17375/361,-2657880/6859) (3095/529,-2195640/12167) (24725/49,-3892860/343) (24725/49,3892860/343) (101681/4624,-66686895/314432) (72689/3025,36644112/166375) (179543,-76077096) (101681/4624,66686895/314432) (72689/3025,-36644112/166375) (179543,76077096) (515201855/9916201,-13235529026520/31226116949) (-37978075/1555009,241285358340/1939096223) (515201855/9916201,13235529026520/31226116949) (117148970/284089,-1270143328635/151419437) (-37978075/1555009,-241285358340/1939096223) (117148970/284089,1270143328635/151419437) # # a-invariants: (0, -1, 0, -1, -95) # Cremona label: 960i1 # (5,0) # # a-invariants: (0, -1, 0, -321, -2079) # Cremona label: 960i2 # (-9,0) (-11,0) (21,0) # # a-invariants: (0, -1, 0, -5121, -139359) # Cremona label: 960i3 # (-41,0) # # a-invariants: (0, -1, 0, -641, 3105) # Cremona label: 960i4 # (23,0) (5,0) (-27,0) # # a-invariants: (0, -1, 0, -8641, 311905) # Cremona label: 960i5 # (53,0) (55,0) (-107,0) # # a-invariants: (0, -1, 0, 2239, 20961) # Cremona label: 960i6 # (-9,0) # # a-invariants: (0, -1, 0, -138241, 19829665) # Cremona label: 960i7 # (215,0) # # a-invariants: (0, -1, 0, -7041, 429345) # Cremona label: 960i8 # (-105,0) # # a-invariants: (0, -1, 0, 4, -30) # Cremona label: 960j1 # (3,0) # # a-invariants: (0, -1, 0, -121, -455) # Cremona label: 960j2 # (-5,0) (13,0) (-7,0) # # a-invariants: (0, -1, 0, -1921, -31775) # Cremona label: 960j3 # (-25,0) # # a-invariants: (0, -1, 0, -321, 1665) # Cremona label: 960j4 # (15,0) # # a-invariants: (0, -1, 0, -20, 42) # Cremona label: 960k1 # (3,0) (13/4,-7/8) (7,-14) (7,14) (13/4,7/8) (2577/784,21615/21952) (2577/784,-21615/21952) (1459/225,40348/3375) (1459/225,-40348/3375) (25425127/8473921,492267286/24667584031) (25425127/8473921,-492267286/24667584031) (8484013/3364,24706725337/195112) (8484013/3364,-24706725337/195112) # # a-invariants: (0, -1, 0, -25, 25) # Cremona label: 960k2 # (-5,0) (5,0) (1,0) (25,120) (25,-120) (0,-5) (-3,-8) (7,12) (0,5) (7,-12) (-3,8) (-5/49,-1800/343) (205/9,-2800/27) (-71/25,1008/125) (-5/49,1800/343) (29/4,-105/8) (29/4,105/8) (205/9,2800/27) (-71/25,-1008/125) (-4200/841,-14555/24389) (-4200/841,14555/24389) (25225/5041,142680/357911) (25225/5041,-142680/357911) (10087,1013028) (10087,-1013028) (1677/1681,-16472/68921) (1677/1681,16472/68921) (8618405/312481,-24426679200/174676879) (1194481/176400,812768671/74088000) (1194481/176400,-812768671/74088000) (8618405/312481,24426679200/174676879) (71892867241469/28506270244,609455127334029587415/4812941655456472) (71892867241469/28506270244,-609455127334029587415/4812941655456472) # # a-invariants: (0, -1, 0, -225, -1215) # Cremona label: 960k3 # (-9,0) (27,-108) (-8,3) (27,108) (-8,-3) (-9729/1225,120744/42875) (901/36,-19565/216) (-9729/1225,-120744/42875) (901/36,19565/216) (50848587/5041,362573721828/357911) (50848587/5041,-362573721828/357911) (-12718448/1413721,601409547/1680914269) (-12718448/1413721,-601409547/1680914269) (1617931017361/55121648400,1667751913770342191/12941460611352000) (1617931017361/55121648400,-1667751913770342191/12941460611352000) # # a-invariants: (0, -1, 0, 95, 97) # Cremona label: 960k4 # (9,40) (-1,0) (9,-40) (89,-840) (24,-125) (24,125) (89,840) (3,20) (1/9,-280/27) (1/9,280/27) (3,-20) (9559/441,-1009000/9261) (18321/169,2478520/2197) (18321/169,-2478520/2197) (-159/1849,749320/79507) (341/100,-21189/1000) (-159/1849,-749320/79507) (341/100,21189/1000) (9559/441,1009000/9261) (16956243/1681,-69818919260/68921) (-4197456/4239481,-8689217125/8729091379) (16956243/1681,69818919260/68921) (-4197456/4239481,8689217125/8729091379) # # a-invariants: (0, 1, 0, -61, -205) # Cremona label: 960l1 # (-5,0) (11,-24) (11,24) (-19/4,-3/8) (-19/4,3/8) (-2141/441,-4976/9261) (-2141/441,4976/9261) (361/16,-6531/64) (361/16,6531/64) (-3785155/763876,-259606245/667627624) (-3785155/763876,259606245/667627624) (2884379/34225,4905856392/6331625) (2884379/34225,-4905856392/6331625) # # a-invariants: (0, 1, 0, -81, -81) # Cremona label: 960l2 # (-1,0) (9,0) (-9,0) (39,-240) (-3,-12) (-6,15) (15,-48) (15,48) (-3,12) (39,240) (-6,-15) (45/4,189/8) (-369/49,4320/343) (-369/49,-4320/343) (89,840) (89,-840) (-17/9,-224/27) (-17/9,224/27) (45/4,-189/8) (-3099/361,51060/6859) (-654/529,52725/12167) (13071/1369,-524400/50653) (8439/25,-776112/125) (-3099/361,-51060/6859) (8439/25,776112/125) (-654/529,-52725/12167) (13071/1369,524400/50653) (160225/7056,60165127/592704) (-997497/223729,-1538599104/105823817) (160225/7056,-60165127/592704) (-997497/223729,1538599104/105823817) (2204479243629/26143656100,-3273641517285174483/4227167754809000) (2204479243629/26143656100,3273641517285174483/4227167754809000) # # a-invariants: (0, 1, 0, -801, 8415) # Cremona label: 960l3 # (17,0) (-33,0) (15,0) (21,36) (103/9,800/27) (-1,-96) (21,-36) (-1,96) (42,-225) (42,225) (103/9,-800/27) (25383/1849,1108800/79507) (661/36,3311/216) (-1641/121,173376/1331) (661/36,-3311/216) (-1641/121,-173376/1331) (4433/49,283800/343) (4433/49,-283800/343) (25383/1849,-1108800/79507) (12537042/724201,-3709695375/616295051) (3050229/9025,5316969708/857375) (7142735/485809,-1932518880/338608873) (7142735/485809,1932518880/338608873) (12537042/724201,3709695375/616295051) (3050229/9025,-5316969708/857375) (43016326609/1578631824,-5454969546092543/62722199631168) (43016326609/1578631824,5454969546092543/62722199631168) # # a-invariants: (0, 1, 0, 319, -321) # Cremona label: 960l4 # (1,0) (55,-432) (7,-48) (55,432) (7,48) (10,63) (37,-252) (10,-63) (37,252) (1351,49680) (31/25,1104/125) (1351,-49680) (31/25,-1104/125) (793/9,-22904/27) (793/9,22904/27) (925/196,-99387/2744) (925/196,99387/2744) (970309/494209,6183201780/347428927) (970309/494209,-6183201780/347428927) (4461106/13225,-9449545329/1520875) (4461106/13225,9449545329/1520875) # # a-invariants: (0, 1, 0, -12801, 553215) # Cremona label: 960l5 # (65,0) (583/9,80/27) (47,-240) (583/9,-80/27) (47,240) (589/9,-172/27) (74,-129) (74,129) (589/9,172/27) (-8513/81,630800/729) (-8513/81,-630800/729) (651641/5929,-318269832/456533) (4332589/66564,23746877/17173512) (4332589/66564,-23746877/17173512) (651641/5929,318269832/456533) (22873554665810/351823363609,-65133948393999495/208682972654587523) (22873554665810/351823363609,65133948393999495/208682972654587523) # # a-invariants: (0, 1, 0, -321, 18879) # Cremona label: 960l6 # (-31,0) (346/9,6875/27) (5,132) (346/9,-6875/27) (5,-132) (8081369/90601,-22944405000/27270901) (-44435/4356,41856157/287496) (8081369/90601,22944405000/27270901) (-44435/4356,-41856157/287496) (1480525490261/4384426225,-1802030013975759084/290314782488375) (1480525490261/4384426225,1802030013975759084/290314782488375) # # a-invariants: (0, 1, 0, 4, 30) # Cremona label: 960m1 # (-3,0) (1,6) (13/4,75/8) (1,-6) (13/4,-75/8) (373/9,7300/27) (373/9,-7300/27) (-39/16,-219/64) (-39/16,219/64) (24049/3025,-4167618/166375) (24049/3025,4167618/166375) (-23747/33124,31486125/6028568) (-23747/33124,-31486125/6028568) # # a-invariants: (0, 1, 0, -121, 455) # Cremona label: 960m2 # (5,0) (7,0) (-13,0) (2,-15) (17,-60) (-1,24) (11,24) (-1,-24) (17,60) (2,15) (11,-24) (167,-2160) (43/9,-80/27) (29/4,-27/8) (29/4,27/8) (-11,-24) (43/9,80/27) (167,2160) (-11,24) (455/121,10920/1331) (1433/169,-23100/2197) (851/25,-24024/125) (-262/49,-10725/343) (-262/49,10725/343) (851/25,24024/125) (455/121,-10920/1331) (1433/169,23100/2197) (41047/5041,-3118560/357911) (41047/5041,3118560/357911) (6049/144,461287/1728) (6049/144,-461287/1728) (5889059/797449,3080344152/712121957) (5889059/797449,-3080344152/712121957) (1025364701/100200100,19886264464149/1003003001000) (1025364701/100200100,-19886264464149/1003003001000) (2668718730491/822599761,-4360322737111439256/23592983745241) (2668718730491/822599761,4360322737111439256/23592983745241) # # a-invariants: (0, 1, 0, -321, -1665) # Cremona label: 960m3 # (-15,0) (-9,24) (-9,-24) (39,-216) (39,216) (21,36) (21,-36) (-6,9) (-6,-9) (135,-1560) (135,1560) (-321/25,2808/125) (-321/25,-2808/125) (-119/9,-568/27) (669/4,17253/8) (-119/9,568/27) (669/4,-17253/8) (-13641/2209,1136808/103823) (7839/361,312456/6859) (7839/361,-312456/6859) (-13641/2209,-1136808/103823) (-50910/5929,-10529415/456533) (-50910/5929,10529415/456533) (150069/4225,49893228/274625) (150069/4225,-49893228/274625) (-6662241/444889,-842038728/296740963) (23996271/1849,117552522888/79507) (23996271/1849,-117552522888/79507) (-6662241/444889,842038728/296740963) (31322449/725904,159710819777/618470208) (31322449/725904,-159710819777/618470208) # # a-invariants: (0, 1, 0, -1921, 31775) # Cremona label: 960m4 # (25,0) (29,-36) (26,9) (29,36) (26,-9) (901/36,89/216) (169,2136) (169,-2136) (901/36,-89/216) (51074/1225,6899607/42875) (51074/1225,-6899607/42875) (516125/20449,-6754860/2924207) (516125/20449,6754860/2924207) # # a-invariants: (0, 1, 0, -20, -42) # Cremona label: 960n1 # (-3,0) # # a-invariants: (0, 1, 0, -25, -25) # Cremona label: 960n2 # (-1,0) (-5,0) (5,0) # # a-invariants: (0, 1, 0, -225, 1215) # Cremona label: 960n3 # (9,0) (3,-24) (3,24) # # a-invariants: (0, 1, 0, 95, -97) # Cremona label: 960n4 # (1,0) # # a-invariants: (0, 1, 0, 95, -1057) # Cremona label: 960o1 # (7,0) # # a-invariants: (0, 1, 0, -1185, -14625) # Cremona label: 960o2 # (39,0) (-15,0) (-25,0) # # a-invariants: (0, 1, 0, -865, 31775) # Cremona label: 960o3 # (-41,0) # # a-invariants: (0, 1, 0, -18465, -971937) # Cremona label: 960o4 # (-79,0) # # a-invariants: (0, 1, 0, -4385, 94815) # Cremona label: 960o5 # (49,0) (103,-864) (103,864) # # a-invariants: (0, 1, 0, -21345, 1190943) # Cremona label: 960o6 # (-169,0) (81,0) (87,0) # # a-invariants: (0, 1, 0, -29025, 249375) # Cremona label: 960o7 # (-175,0) # # a-invariants: (0, 1, 0, -341345, 76646943) # Cremona label: 960o8 # (343,192) (337,0) (343,-192) # # a-invariants: (0, 1, 0, 15, 15) # Cremona label: 960p1 # (-1,0) # # a-invariants: (0, 1, 0, -65, 63) # Cremona label: 960p2 # (7,0) (-9,0) (1,0) # # a-invariants: (0, 1, 0, -545, -5025) # Cremona label: 960p3 # (-15,0) # # a-invariants: (0, 1, 0, -865, 9503) # Cremona label: 960p4 # (23,-48) (17,0) (23,48) # # a-invariants: (1, -1, 1, -9, -7) # Cremona label: 962a1 # (-1,0) # # a-invariants: (1, -1, 1, 11, -47) # Cremona label: 962a2 # (11/4,-15/8) # # a-invariants: (0, 1, 0, -20, -44) # Cremona label: 964a1 # # # a-invariants: (1, -1, 0, -100, 411) # Cremona label: 965a1 # (6,-3) # # a-invariants: (1, -1, 0, -95, 450) # Cremona label: 965a2 # (-45/4,45/8) # # a-invariants: (1, 1, 0, 334, 5556) # Cremona label: 966a1 # (-12,6) (20,134) (20,-154) (11,-109) (11,98) (724,19142) (-11,-21) (724,-19866) (-11,32) (16295/484,2349053/10648) (3956/961,2435066/29791) (16295/484,-2707543/10648) (3956/961,-2557702/29791) (-4415276/540225,-17682113702/397065375) (-4415276/540225,20927341562/397065375) (506517/2809,-377167953/148877) (506517/2809,350322552/148877) # # a-invariants: (1, 1, 0, -3346, 63700) # Cremona label: 966a2 # (91/4,-91/8) (43,19) (43,-62) (-63,-140) (-63,203) (725,19115) (725,-19840) (56959/2809,-11719666/148877) (56959/2809,8700839/148877) (23155687/465124,-56635118153/317214568) (23155687/465124,40842939619/317214568) (279440540341/1517492025,136113812028221096/59113901833875) (279440540341/1517492025,-146999418277204751/59113901833875) # # a-invariants: (1, 1, 0, -5131, -144323) # Cremona label: 966b1 # # # a-invariants: (1, 1, 0, -14744, 836928) # Cremona label: 966c1 # (-144,72) (1904,-83896) (1904,81992) (-121,992) (-121,-871) (-42896/625,-18799992/15625) (-42896/625,19872392/15625) (481,10022) (481,-10503) (-5612809/362404,226503712807/218167208) (-5612809/362404,-223124801789/218167208) # # a-invariants: (1, 1, 0, -250264, 48082240) # Cremona label: 966c2 # (1147/4,-1147/8) (1927,81049) (285,-230) (1927,-82976) (285,-55) (347729/625,136668758/15625) (347729/625,-145361983/15625) # # a-invariants: (1, 1, 0, 18, 0) # Cremona label: 966d1 # (0,0) (2,-8) (2,6) (9,-36) (9,27) (1,4) (18,-90) (1,-5) (18,72) (9/64,-855/512) (9/64,783/512) (128,1392) (128,-1520) (289/81,-9469/729) (1458/289,65448/4913) (289/81,6868/729) (1458/289,-90234/4913) (145161/3025,-60226956/166375) (145161/3025,52243101/166375) (1366561/43264,1500763369/8998912) (1366561/43264,-1785008057/8998912) (1195568929/21618703089,-3265662846067757/3178662771284937) (1195568929/21618703089,3089874759730100/3178662771284937) # # a-invariants: (1, 1, 0, -72, -90) # Cremona label: 966d2 # (-5/4,5/8) (-3,-9) (-3,12) (39,-261) (39,222) (11,-30) (-7,15) (-7,-8) (11,19) (-33/4,75/8) (141/16,201/64) (-33/4,-9/8) (141/16,-765/64) (19,67) (-383/81,11303/729) (-383/81,-7856/729) (19,-86) (4839/25,325278/125) (4839/25,-349473/125) (-195/121,-5595/1331) (-195/121,7740/1331) (8201/64,711849/512) (-1213/676,-91779/17576) (8201/64,-777457/512) (-1213/676,123317/17576) (201619/23409,1190395/3581577) (-7749887/923521,742747360/887503681) (201619/23409,-32038102/3581577) (-7749887/923521,6704894047/887503681) (-41102913/6220036,-139878814371/15512769784) (-41102913/6220036,242389479393/15512769784) # # a-invariants: (1, 0, 1, -1, 116) # Cremona label: 966e1 # (-5,2) (19,-94) (-2,11) (19,74) (-2,-10) (4,11) (4,-16) (3,10) (3,-14) (55/4,-479/8) (-29/25,-1334/125) (55/4,361/8) (-29/25,1354/125) (643,15986) (-44/9,128/27) (-44/9,-23/27) (643,-16630) (4702/169,292967/2197) (4702/169,-356290/2197) (-5189/1849,-713338/79507) (-5189/1849,856958/79507) (25995/5041,-6844498/357911) (13369/6400,-6524507/512000) (13369/6400,4942987/512000) (25995/5041,4640942/357911) (-139442/450241,-3363708779/302111711) (-139442/450241,3155162650/302111711) (-155227757/34000561,1413410776126/198257271191) (-155227757/34000561,-706534996250/198257271191) # # a-invariants: (1, 0, 1, -361, 2564) # Cremona label: 966e2 # (39/4,-43/8) (4,32) (4,-37) (22,62) (22,-85) (12,-5) (-194/9,841/27) (-194/9,-286/27) (12,-8) (49/64,-24947/512) (49/64,24043/512) (1759/100,-51043/1000) (1759/100,32453/1000) (5788/9,431545/27) (5788/9,-448936/27) (9379462/312481,21376369925/174676879) (9379462/312481,-26794166062/174676879) (395073129/32262400,-325531384877/183250432000) (395073129/32262400,-2101734419843/183250432000) # # a-invariants: (1, 0, 1, 4644, 858394) # Cremona label: 966f1 # (-79,39) (209,-3417) (2,930) (2,-933) (209,3207) # # a-invariants: (1, 0, 1, -111996, 13735450) # Cremona label: 966f2 # (-124,-5010) (631/4,-635/8) (290,-2526) (-124,5133) (290,2235) # # a-invariants: (1, 0, 1, -41931, -23576714) # Cremona label: 966f3 # (335,-168) # # a-invariants: (1, 0, 1, -1516491, -715440266) # Cremona label: 966f4 # (-2681/4,2677/8) # # a-invariants: (1, 1, 1, 126, 1167) # Cremona label: 966g1 # (9,51) (9,-61) (-7,3) (25,-157) (25,131) (-5,-19) (121,1283) (121,-1405) (1,-37) (-5,23) (1,35) (-111/25,3127/125) (1/9,913/27) (1/9,-943/27) (93,-957) (-111/25,-2697/125) (29,159) (93,863) (29,-189) (2209/289,231859/4913) (6265,492803) (5545/529,-818123/12167) (6265,-499069) (5545/529,678421/12167) (2209/289,-274325/4913) (-341/49,-85/343) (-341/49,2129/343) (91529/4225,-36364797/274625) (14617/7569,-25809131/658503) (41889/256,-8964471/4096) (14617/7569,23878949/658503) (41889/256,8290151/4096) (-240231/43681,189618259/9129329) (91529/4225,30140787/274625) (-240231/43681,-148539309/9129329) (10447660141/6671889,-1081850610300587/17233489287) (10447660141/6671889,1054847070667097/17233489287) # # a-invariants: (1, 1, 1, -1154, 12431) # Cremona label: 966g2 # (53,295) (53,-349) (-3,-125) (-39,19) (-3,127) (51/4,-55/8) (25,-13) (7,65) (681/25,4031/125) (-167/9,4745/27) (-31,-125) (375,7057) (11,-41) (33,91) (33,-125) (11,29) (681/25,-7561/125) (123,1261) (-31,155) (123,-1385) (7,-73) (375,-7433) (-167/9,-4271/27) (-4143/121,175337/1331) (2389/25,104803/125) (9473/361,133265/6859) (2389/25,-116873/125) (-12099/841,4119011/24389) (861/169,-186785/2197) (325/9,3269/27) (-4143/121,-131095/1331) (753/64,-16435/512) (-12099/841,-3792529/24389) (2627/4,-137227/8) (861/169,173395/2197) (9473/361,-320111/6859) (325/9,-4271/27) (753/64,9899/512) (2627/4,131965/8) (306987/49,-171179567/343) (1722247/136161,-746958745/50243409) (5811639/93025,-13237880473/28372625) (3841233/152881,-183959315/59776471) (1722247/136161,61206193/50243409) (3841233/152881,-1377739259/59776471) (306987/49,169030315/343) (5811639/93025,11436957953/28372625) (1846530625/11182336,74962917734263/37393731584) (978393001/31979025,-17931095708891/180841386375) (1846530625/11182336,-81175109875847/37393731584) (978393001/31979025,12217441901861/180841386375) # # a-invariants: (1, 1, 1, -5074, -128689) # Cremona label: 966g3 # (-31,15) (-205/4,201/8) (81,-41) (9431/25,-923469/125) (131,-1281) (-45,-83) (9431/25,876189/125) (-329/9,3125/27) (-45,127) (131,1149) (-329/9,-2165/27) (950139/1444,-939460537/54872) (950139/1444,903300383/54872) (-4873855/142129,5190542031/53582633) (-4873855/142129,-3406681329/53582633) (24001/225,-2703071/3375) (-367639/7744,-45085935/681472) (-367639/7744,76756695/681472) (24001/225,2339681/3375) (46933420739/7491169,10103829701436717/20503329553) (46933420739/7491169,-10232306977328913/20503329553) (61050963234810961/357600202502400,-14135053320571813501322801/6762334261385184768000) (61050963234810961/357600202502400,12973797735231917904537281/6762334261385184768000) # # a-invariants: (1, 1, 1, -17714, 900047) # Cremona label: 966g4 # (-9,-1025) (75,-59) (-9,1033) (89,-241) (307/4,-311/8) (89,151) (75,-17) (279/4,515/8) (1291/9,29263/27) (885/16,17749/64) (1931/25,-3469/125) (1931/25,-6311/125) (79,-79) (-135,-857) (9201/121,-55387/1331) (-135,991) (79,-1) (383,6913) (9201/121,-47155/1331) (1291/9,-33163/27) (383,-7297) (885/16,-21353/64) (279/4,-1081/8) (320171/484,-181448753/10648) (1779161/23104,-162723943/3511808) (-146301/1369,66488545/50653) (2526649/21025,-2393463097/3048625) (121993/1521,1011737/59319) (320171/484,174394343/10648) (-146301/1369,-61126061/50653) (2526649/21025,2024050367/3048625) (121993/1521,-5828783/59319) (1779161/23104,-111220337/3511808) (1598165733919/20816429841,-122627726803972169/3003373681029639) (1598165733919/20816429841,-110957400801156871/3003373681029639) # # a-invariants: (1, 1, 1, -79134, -8601153) # Cremona label: 966g5 # (-653/4,649/8) (10681/25,721189/125) (-1463/9,2371/27) (10681/25,-774719/125) (-1463/9,1991/27) (222121819/324900,2907908793713/185193000) (-179147701607/1100646976,3288385506948463/36515064075776) (222121819/324900,-3034703423543/185193000) (-179147701607/1100646976,2618503577489593/36515064075776) # # a-invariants: (1, 1, 1, 6266, -609505) # Cremona label: 966g6 # (243/4,-247/8) (83629/225,23997103/3375) (117,1261) (83629/225,-25254913/3375) (117,-1379) (157159369/1742400,1818981416057/2299968000) (134366721867/205234276,-50569803383508449/2940186237976) (157159369/1742400,-2028731751137/2299968000) (134366721867/205234276,48641925539803831/2940186237976) # # a-invariants: (1, 1, 1, -615, -6147) # Cremona label: 966h1 # # # a-invariants: (1, 0, 0, -599, -9255) # Cremona label: 966i1 # (30,-15) (76,583) (76,-659) # # a-invariants: (1, 0, 0, -11179, -455731) # Cremona label: 966i2 # (-62,31) (-241/4,241/8) (122,-61) # # a-invariants: (1, 0, 0, -178849, -29127301) # Cremona label: 966i3 # (-977/4,977/8) # # a-invariants: (1, 0, 0, -12789, -316305) # Cremona label: 966i4 # (495/4,-495/8) # # a-invariants: (1, 0, 0, 9096, 224832) # Cremona label: 966j1 # # # a-invariants: (1, 0, 0, 3, 9) # Cremona label: 966k1 # (0,-3) (0,3) # # a-invariants: (1, 0, 0, -27, -249) # Cremona label: 966k2 # # # a-invariants: (0, 1, 0, 15, -13) # Cremona label: 968a1 # (7,22) (7,-22) (1,-2) (1,2) (19/9,-154/27) (19/9,154/27) (22,-107) (22,107) (1099/25,36982/125) (1099/25,-36982/125) (1297/441,74782/9261) (1297/441,-74782/9261) (81251287/301401,733827352258/165469149) (81251287/301401,-733827352258/165469149) (742784641/70644025,-22356494972114/593763030125) (742784641/70644025,22356494972114/593763030125) # # a-invariants: (0, 0, 0, -1331, -29282) # Cremona label: 968b1 # # # a-invariants: (0, 1, 0, 1775, 24451) # Cremona label: 968c1 # # # a-invariants: (0, 0, 0, -11, 22) # Cremona label: 968d1 # (3,-4) (3,4) (-2,6) (-2,-6) (-21/25,692/125) (-21/25,-692/125) (577/144,11233/1728) (577/144,-11233/1728) (85563/841,25015124/24389) (85563/841,-25015124/24389) # # a-invariants: (0, 0, 0, -484, -5324) # Cremona label: 968e1 # (44,242) (44,-242) (33,-121) (33,121) (1012,32186) (1012,-32186) (265/4,-4027/8) (265/4,4027/8) (4481873/17689,-9450925583/2352637) (4481873/17689,9450925583/2352637) # # a-invariants: (1, 0, 1, -10, -1) # Cremona label: 969a1 # (3,-2) # # a-invariants: (1, 0, 1, -105, -419) # Cremona label: 969a2 # (-25/4,21/8) # # a-invariants: (1, 0, 1, -21444, 1420226) # Cremona label: 970a1 # # # a-invariants: (1, 0, 0, -5, -5) # Cremona label: 970b1 # # # a-invariants: (0, 0, 0, 0, -12) # Cremona label: 972a1 # # # a-invariants: (0, 0, 0, 0, 324) # Cremona label: 972a2 # (0,-18) (0,18) # # a-invariants: (0, 0, 0, 0, -3) # Cremona label: 972b1 # # # a-invariants: (0, 0, 0, 0, 81) # Cremona label: 972b2 # (0,-9) (0,9) # # a-invariants: (0, 0, 0, 0, 9) # Cremona label: 972c1 # (0,3) (0,-3) (-2,1) (6,-15) (-2,-1) (3,-6) (6,15) (3,6) (-15/16,-183/64) (24/25,-393/125) (40,253) (40,-253) (-15/16,183/64) (24/25,393/125) (4662/289,318657/4913) (-629/441,-22870/9261) (-629/441,22870/9261) (2142/1369,-181437/50653) (2142/1369,181437/50653) (4662/289,-318657/4913) (639280/64009,513439919/16194277) (639280/64009,-513439919/16194277) (497145/238144,-494391309/116214272) (497145/238144,494391309/116214272) # # a-invariants: (0, 0, 0, 0, -243) # Cremona label: 972c2 # (7,10) (7,-10) (16009/400,2021723/8000) (16009/400,-2021723/8000) (2838722167/174477681,146917312265870/2304675688329) (2838722167/174477681,-146917312265870/2304675688329) # # a-invariants: (0, 0, 0, 0, 36) # Cremona label: 972d1 # (0,-6) (0,6) (12,42) (4,10) (-3,-3) (-3,3) (4,-10) (12,-42) (-56/25,622/125) (105/4,-1077/8) (-56/25,-622/125) (120/49,-2442/343) (105/4,1077/8) (120/49,2442/343) (41652/361,8500782/6859) (-1691/1521,-349055/59319) (-1691/1521,349055/59319) (41652/361,-8500782/6859) (-26795760/8116801,3387556794/23124766049) (-26795760/8116801,-3387556794/23124766049) # # a-invariants: (0, 0, 0, 0, -972) # Cremona label: 972d2 # (13,35) (13,-35) (129649/4900,-45441143/343000) (129649/4900,45441143/343000) # # a-invariants: (0, 1, 1, -26, 43) # Cremona label: 973a1 # # # a-invariants: (0, 1, 1, -203, 1048) # Cremona label: 973b1 # (8,0) (8,-1) (2557/324,-3025/5832) (74/25,-2807/125) (74/25,2682/125) (302/49,-3025/343) (302/49,2682/343) (2557/324,-2807/5832) # # a-invariants: (0, 1, 1, -253, 441) # Cremona label: 973b2 # (21,-70) (21,69) (61/36,865/216) (-9,-46) (61/36,-1081/216) (-309/25,-5414/125) (-9,45) (-309/25,5289/125) (2889/169,-83422/2197) (85209/3025,-21427402/166375) (2889/169,81225/2197) (102409/144,-32788045/1728) (102409/144,32786317/1728) (85209/3025,21261027/166375) (402949/396900,-3539527307/250047000) (402949/396900,3289480307/250047000) # # a-invariants: (0, 1, 1, -11373, -470630) # Cremona label: 973b3 # (-62,3) (-62,-4) (148,1053) (148,-1054) (-55499/900,35549/27000) (-55499/900,-62549/27000) (694072/1849,552489171/79507) (694072/1849,-552568678/79507) (52594246849/73616400,11926883368973143/631628712000) (52594246849/73616400,-11927514997685143/631628712000) # # a-invariants: (1, -1, 0, -13, -27) # Cremona label: 974a1 # # # a-invariants: (1, 1, 0, -9421, -355915) # Cremona label: 974b1 # # # a-invariants: (1, 1, 0, 8, 0) # Cremona label: 974c1 # (0,0) # # a-invariants: (1, 1, 0, -32, -40) # Cremona label: 974c2 # (-5/4,5/8) # # a-invariants: (1, -1, 0, -178, 980) # Cremona label: 974d1 # # # a-invariants: (1, 1, 1, -5, 3) # Cremona label: 974e1 # (1,-2) (1,0) (-3,0) (-3,2) (3/4,1/8) (3/4,-15/8) (61,450) (61,-512) (289/225,-8192/3375) (289/225,482/3375) (-2591/1024,-58081/32768) (-2591/1024,108225/32768) (3469437/231361,-7556918910/111284641) (3469437/231361,5776835072/111284641) # # a-invariants: (1, 1, 1, -91, 297) # Cremona label: 974f1 # (3,6) (3,-10) (5,-2) (5,-4) (11,22) (11,-34) (-9,26) (-9,-18) (55/9,-214/27) (55/9,22/27) (267/49,-510/343) (267/49,-1702/343) (-79/25,3104/125) (-79/25,-2834/125) (3083/121,-182494/1331) (3083/121,147250/1331) (5415/1156,-37801/39304) (5415/1156,-185613/39304) (133699/31329,-33427354/5545233) (133699/31329,4217398/5545233) # # a-invariants: (1, -1, 1, 3, -3) # Cremona label: 974g1 # (1,-2) (1,0) (5,-14) (5,8) (15/4,39/8) (15/4,-77/8) (141/121,-3272/1331) (141/121,390/1331) (5129/25,-379552/125) (5129/25,353782/125) (47569/53824,-3405845/12487168) (47569/53824,-20117331/12487168) # # a-invariants: (1, -1, 1, 51, 117) # Cremona label: 974h1 # (-1,-8) (-1,8) (15,-72) (15,56) (7,24) (7,-32) (1,12) (1,-14) (111,1112) (111,-1224) (-97/49,-568/343) (-97/49,904/343) (355/9,6196/27) (355/9,-7288/27) (491/169,-41384/2197) (491/169,32804/2197) (12159/3025,2813192/166375) (12159/3025,-3648312/166375) (6294807/25921,-16284708656/4173281) (6294807/25921,15267071448/4173281) # # a-invariants: (1, 1, 0, -2750, 54375) # Cremona label: 975a1 # (30,-15) (26,-49) (26,23) (95/4,355/8) (95/4,-545/8) (1921/64,-7355/512) (1630,64985) (1921/64,-8013/512) (1630,-66615) (11316846081/27709696,1166481990191127/145863839744) (11316846081/27709696,-1226053867961511/145863839744) # # a-invariants: (1, 1, 0, -2875, 49000) # Cremona label: 975a2 # (20,-10) (40,-20) (-245/4,245/8) (-60,130) (645/16,335/64) (6520,523240) (79/4,-241/8) (-60,-70) (645/16,-2915/64) (6520,-529760) (79/4,83/8) (4200040/101761,1040959420/32461759) (-24413045/432964,-45881181695/284890312) (104321/64,33271987/512) (104321/64,-34106555/512) (4200040/101761,-2380772180/32461759) (-24413045/432964,61944965305/284890312) # # a-invariants: (1, 1, 0, -13000, -528125) # Cremona label: 975a3 # (-50,25) (130,-65) (-325/4,325/8) (-42770/841,-1052935/24389) (16450/121,-742975/1331) (-321/4,959/8) (-321/4,-317/8) (104325/16,-33903025/64) (16450/121,562025/1331) (104325/16,33485725/64) (-42770/841,2293265/24389) (10624103681/6512704,-1106293389095045/16620420608) (10624103681/6512704,1079180676501133/16620420608) # # a-invariants: (1, 1, 0, 5250, 284625) # Cremona label: 975a4 # (-165/4,165/8) (26079/4,-4238241/8) (-635/16,9295/64) (26079/4,4186083/8) (-635/16,-6755/64) (-1547006745765/44058849604,-2075162385483633585/9248040649578808) (-1547006745765/44058849604,2399882195433198615/9248040649578808) # # a-invariants: (1, 1, 0, -203125, -35321000) # Cremona label: 975a5 # (520,-260) (-260,130) (-1045/4,1045/8) (2312440/3721,1946156680/226981) (-878361/3364,23297087/195112) (-878361/3364,27647851/195112) (12634845/1936,-45083419715/85184) (12634845/1936,44527486535/85184) (2312440/3721,-2087215520/226981) # # a-invariants: (1, 1, 0, 15125, -2468750) # Cremona label: 975a6 # (395/4,-395/8) (250,4000) (250,-4250) (47650/121,-10972450/1331) (47650/121,10448300/1331) (87725805/13456,816791093585/1560896) (51159/484,5506429/10648) (51159/484,-6631927/10648) (87725805/13456,-826967286965/1560896) # # a-invariants: (1, 1, 0, -3250000, -2256492875) # Cremona label: 975a7 # (-4165/4,4165/8) (47745136965/7203856,-10062271140830255/19335149504) (47745136965/7203856,9934123193216195/19335149504) # # a-invariants: (1, 1, 0, -198250, -37090625) # Cremona label: 975a8 # (2075/4,-2075/8) (7765202319/12517444,-407710071627253/44286716872) (7765202319/12517444,380236785822631/44286716872) # # a-invariants: (0, -1, 1, -8, -82) # Cremona label: 975b1 # (7,-13) (7,12) (12,37) (12,-38) (82,-738) (82,737) (49/9,55/27) (49/9,-82/27) (5797/196,429703/2744) (5797/196,-432447/2744) (72597/3481,18706298/205379) (72597/3481,-18911677/205379) (2716822/474721,-1868019122/327082769) (2716822/474721,1540936353/327082769) # # a-invariants: (1, 1, 0, 300, 14625) # Cremona label: 975c1 # # # a-invariants: (0, -1, 1, -1658, -40282) # Cremona label: 975d1 # # # a-invariants: (1, 1, 1, -1138, -15844) # Cremona label: 975e1 # # # a-invariants: (0, -1, 1, -83, 3818) # Cremona label: 975f1 # (-8,-63) (-8,62) (18,88) (18,-89) (16717/676,2233587/17576) (16717/676,-2251163/17576) (-368906/31329,302176547/5545233) (-368906/31329,-307721780/5545233) # # a-invariants: (1, 0, 0, 12, -33) # Cremona label: 975g1 # (2,-1) # # a-invariants: (1, 0, 0, -113, -408) # Cremona label: 975g2 # (12,-6) (-17/4,17/8) (-8,4) # # a-invariants: (1, 0, 0, -1738, -28033) # Cremona label: 975g3 # (-97/4,97/8) # # a-invariants: (1, 0, 0, -488, 3717) # Cremona label: 975g4 # (63/4,-63/8) # # a-invariants: (1, 0, 1, -46, -127) # Cremona label: 975h1 # (13,-46) (13,32) (39/4,-199/8) (39/4,113/8) (301,-5374) (301,5072) (45097/2304,-10106701/110592) (45097/2304,7831453/110592) # # a-invariants: (0, 1, 1, -4758, 128144) # Cremona label: 975i1 # (273,-4388) (273,4387) (78,487) (78,-488) (48,-113) (48,112) (39,-59) (39,58) (117/4,971/8) (117/4,-979/8) (3,-338) (3,337) (-52,-488) (-52,487) (-78,-176) (-78,175) (-27,487) (-27,-488) (273/16,14593/64) (273/16,-14657/64) (1677/49,-27959/343) (1677/49,27616/343) (42,-65) (42,64) (6708/121,-259528/1331) (6708/121,258197/1331) (1027/9,-28126/27) (1027/9,28099/27) (3117/4,173471/8) (3117/4,-173479/8) (1599,-63902) (1599,63901) (40872/289,-7459744/4913) (40872/289,7454831/4913) (10182/169,553864/2197) (10182/169,-556061/2197) (96057/2209,7549676/103823) (96057/2209,-7653499/103823) (57369/1600,-4523747/64000) (57369/1600,4459747/64000) (11417/529,2301629/12167) (11417/529,-2313796/12167) (-297258/17689,-1062832856/2352637) (-297258/17689,1060480219/2352637) (-114729/1849,34463767/79507) (-114729/1849,-34543274/79507) (11094603/421201,40211259238/273359449) (11094603/421201,-40484618687/273359449) # # a-invariants: (0, 1, 1, -3, 29) # Cremona label: 975j1 # (3,7) (3,-8) (-3,-5) (-3,4) (-3/4,41/8) (-3/4,-49/8) (9,-29) (9,28) (23,-113) (23,112) (9/16,-371/64) (9/16,307/64) (-633/169,1984/2197) (-633/169,-4181/2197) (537/361,-41180/6859) (537/361,34321/6859) (13413/196,-1565677/2744) (13413/196,1562933/2744) (11101/2025,-1358524/91125) (11101/2025,1267399/91125) # # a-invariants: (1, 0, 0, 12, 117) # Cremona label: 975k1 # (-3,-6) (-3,9) (12,-51) (12,39) (3,-15) (3,12) (3/4,87/8) (3/4,-93/8) (27,-156) (27,129) (-4,5) (-4,-1) (117,-1326) (117,1209) (-87/64,-4737/512) (-87/64,5433/512) (309/49,6222/343) (309/49,-8385/343) (2172/361,119271/6859) (2172/361,-160539/6859) (-1173/961,317439/29791) (-1173/961,-281076/29791) (3643/36,-231223/216) (3643/36,209365/216) (-59133/14641,-1017636/1771561) (-59133/14641,8172729/1771561) (830892/28561,-837948129/4826809) (830892/28561,697527381/4826809) # # a-invariants: (0, -1, 0, 40, -16) # Cremona label: 976a1 # # # a-invariants: (0, -1, 0, -32, -64) # Cremona label: 976b1 # # # a-invariants: (0, 0, 0, 1, -6) # Cremona label: 976c1 # (2,-2) (2,2) (105/16,-1077/64) (105/16,1077/64) # # a-invariants: (1, 1, 0, -37670, 2798484) # Cremona label: 978a1 # # # a-invariants: (1, 1, 0, -9, -15) # Cremona label: 978b1 # (-2,1) # # a-invariants: (1, 1, 0, 1, -33) # Cremona label: 978b2 # (11/4,-11/8) # # a-invariants: (1, 1, 0, -2188119, -1243572651) # Cremona label: 978c1 # # # a-invariants: (1, 1, 0, 458, -2060) # Cremona label: 978d1 # # # a-invariants: (1, 0, 1, -5, 2) # Cremona label: 978e1 # (0,-2) (0,1) (2,0) (2,-3) (-9/4,17/8) (-9/4,-7/8) (34/9,112/27) (34/9,-241/27) (144/289,-1519/4913) (144/289,-5842/4913) (3689/256,192099/4096) (3689/256,-255219/4096) (-50832/47089,25728361/10218313) (-50832/47089,-24916130/10218313) # # a-invariants: (1, 1, 1, -121, 455) # Cremona label: 978f1 # (-1,24) (-1,-24) (7,0) (7,-8) (5,0) (5,-6) (15,-56) (15,40) (-13,0) (-13,12) (19,-84) (19,64) (119/25,-888/125) (119/25,168/125) (61/9,-32/27) (61/9,-178/27) (23/49,6600/343) (23/49,-7104/343) (895,-27240) (895,26344) (-175/64,-13797/512) (-175/64,14685/512) (10023/1369,77896/50653) (10023/1369,-499400/50653) (37381/3025,-6487136/166375) (37381/3025,4264806/166375) # # a-invariants: (1, 0, 0, -132, 144) # Cremona label: 978g1 # (-6,30) (-6,-24) (12,-24) (12,12) (0,-12) (0,12) (48,300) (48,-348) (-12,12) (-12,0) (30,138) (30,-168) (3/4,51/8) (3/4,-57/8) (14,-40) (14,26) (-204/25,3804/125) (-204/25,-2784/125) (624,-15900) (624,15276) (-192/49,9108/343) (-192/49,-7764/343) (3180/289,-63156/4913) (3180/289,9096/4913) (-198/169,-36600/2197) (-198/169,39174/2197) (5817/64,-464025/512) (5817/64,417489/512) (-31110/2809,3307254/148877) (-31110/2809,-1658424/148877) (22828/1089,-3317816/35937) (22828/1089,2564492/35937) (1630704/93025,-1876994652/28372625) (1630704/93025,1379629932/28372625) (261047838/24216241,-443295716550/119168121961) (261047838/24216241,-841320694248/119168121961) # # a-invariants: (1, 0, 0, -3, 9) # Cremona label: 978h1 # (0,-3) (0,3) # # a-invariants: (1, 0, 0, 27, -237) # Cremona label: 978h2 # # # a-invariants: (0, -1, 1, 1, -2) # Cremona label: 979a1 # # # a-invariants: (1, 1, 0, -14646, -688345) # Cremona label: 979b1 # (-70,35) (-10091/144,65441/1728) (1514,-59497) (-10091/144,55651/1728) (1514,57983) (5560969/14400,12059167063/1728000) (5560969/14400,-12726483343/1728000) # # a-invariants: (1, 1, 0, -14041, -747030) # Cremona label: 979b2 # (555/4,-555/8) (17079/100,-1454037/1000) (218005/144,100199585/1728) (218005/144,-102815645/1728) (17079/100,1283247/1000) # # a-invariants: (0, 1, 0, -996, 11780) # Cremona label: 980a1 # (16,-14) (16,14) # # a-invariants: (0, 1, 0, 964, 51764) # Cremona label: 980a2 # # # a-invariants: (0, 0, 0, -343, -4802) # Cremona label: 980b1 # # # a-invariants: (0, 1, 0, 19, -1) # Cremona label: 980c1 # (2,-7) (2,7) (5/4,-41/8) (5/4,41/8) (2314/9,-111545/27) (2314/9,111545/27) (81425/26896,-42636383/4410944) (81425/26896,42636383/4410944) # # a-invariants: (0, -1, 0, -261, 8065) # Cremona label: 980d1 # (-9,-98) (-9,98) (19,-98) (19,98) (40,245) (40,-245) (-21,62) (-21,-62) (1879/9,81046/27) (1879/9,-81046/27) (381/100,-84329/1000) (381/100,84329/1000) (27271/3721,-18288662/226981) (27271/3721,18288662/226981) (117499/961,39846722/29791) (117499/961,-39846722/29791) (-6174240/267289,-4855909555/138188413) (-6174240/267289,4855909555/138188413) # # a-invariants: (0, -1, 0, -39461, 3030385) # Cremona label: 980d2 # (96,-343) (96,343) (461/4,-49/8) (461/4,49/8) (14360/121,-90895/1331) (14360/121,90895/1331) (-1071/16,148273/64) (-1071/16,-148273/64) (3859097709/33988900,5511345997423/198155287000) (3859097709/33988900,-5511345997423/198155287000) # # a-invariants: (0, -1, 0, 915, 2185) # Cremona label: 980e1 # # # a-invariants: (0, -1, 0, -48820, -4138168) # Cremona label: 980f1 # # # a-invariants: (0, -1, 0, 47220, -17660600) # Cremona label: 980f2 # # # a-invariants: (0, -1, 0, -65, -118) # Cremona label: 980g1 # (-2,0) # # a-invariants: (0, -1, 0, 180, -1000) # Cremona label: 980g2 # (5,0) # # a-invariants: (0, -1, 0, -2025, 35750) # Cremona label: 980g3 # (26,0) # # a-invariants: (0, -1, 0, -1780, 44472) # Cremona label: 980g4 # (-51,0) # # a-invariants: (0, 0, 0, -7, 14) # Cremona label: 980h1 # # # a-invariants: (0, 0, 0, 1568, -72716) # Cremona label: 980i1 # # # a-invariants: (1, -1, 0, 36, 81) # Cremona label: 981a1 # (0,9) (0,-9) (19/4,-167/8) (19/4,129/8) (10656/361,1009197/6859) (10656/361,-1211661/6859) (-679535/350464,417574833/207474688) (-679535/350464,-15290113/207474688) # # a-invariants: (1, -1, 1, -74, 262) # Cremona label: 981b1 # (4,-7) (4,2) (5,-2) (5,-4) (22,-106) (22,83) (-1/4,-137/8) (-1/4,131/8) (1534/289,-19082/4913) (1534/289,-11909/4913) (3277/441,-124412/9261) (3277/441,46334/9261) (1721009/287296,-1025333117/153990656) (1721009/287296,-51118363/153990656) # # a-invariants: (1, 0, 1, -22, 40) # Cremona label: 982a1 # (5,-11) (5,5) (2,-4) (2,1) (-35/9,263/27) (-35/9,-185/27) (-34/25,-1004/125) (-34/25,1049/125) (7325/2809,-551695/148877) (7325/2809,14593/148877) (65437/7056,12181889/592704) (65437/7056,-18271301/592704) # # a-invariants: (0, -1, 0, 184, 1644) # Cremona label: 984a1 # # # a-invariants: (0, -1, 0, -577, -5147) # Cremona label: 984b1 # # # a-invariants: (0, -1, 0, -369, 4293) # Cremona label: 984c1 # (-13,-82) (-13,82) (28,123) (28,-123) (11,38) (11,-38) (229/36,-10045/216) (229/36,10045/216) (14939/289,1706666/4913) (14939/289,-1706666/4913) (-7532/361,-341163/6859) (-7532/361,341163/6859) (-33605759/8643600,-1910780279911/25412184000) (-33605759/8643600,1910780279911/25412184000) # # a-invariants: (0, 1, 0, 7, 27) # Cremona label: 984d1 # (1,6) (1,-6) (-2,-3) (-2,3) (9,30) (9,-30) (37/4,249/8) (37/4,-249/8) (-239/121,-4074/1331) (-239/121,4074/1331) (214/225,-20087/3375) (214/225,20087/3375) (59761,-14609334) (59761,14609334) # # a-invariants: (1, -1, 0, -89, -302) # Cremona label: 985a1 # # # a-invariants: (0, 1, 1, -20, 24) # Cremona label: 985b1 # (1,-3) (1,2) (6,12) (6,-13) (-4,7) (-4,-8) (3,-1) (3,0) (-11/4,61/8) (-11/4,-69/8) (79/9,-676/27) (79/9,649/27) (64/49,321/343) (64/49,-664/343) (162,2067) (162,-2068) (269/529,-52366/12167) (269/529,40199/12167) (12249/2704,-1035579/140608) (12249/2704,894971/140608) (79978/25281,4531501/4019679) (79978/25281,-8551180/4019679) (672721869406/181304788401,259311541384503413/77199397596357399) (672721869406/181304788401,-336510938980860812/77199397596357399) # # a-invariants: (1, 0, 1, 9, -34) # Cremona label: 986a1 # (4,-11) (4,6) # # a-invariants: (1, 0, 1, -586, -5508) # Cremona label: 986a2 # # # a-invariants: (1, 1, 0, -10407, -413003) # Cremona label: 986b1 # (126,-607) (126,481) (937,-28992) (937,28055) # # a-invariants: (1, 1, 0, -276, 1616) # Cremona label: 986c1 # (8,-4) (136/9,724/27) (-1,-43) (-1,44) (136/9,-1132/27) (-376/25,-5492/125) (97/9,-313/27) (97/9,22/27) (-376/25,7372/125) (828616/13689,687712076/1601613) (76199/11236,-16735153/1191016) (828616/13689,-784660148/1601613) (76199/11236,8658059/1191016) (41824681/1010025,-276480204311/1015075125) (41824681/1010025,234446399906/1015075125) # # a-invariants: (1, 1, 0, 44, 5520) # Cremona label: 986c2 # (-69/4,69/8) (-32/9,2020/27) (-32/9,-1924/27) (48,-372) (48,324) (21,117) (55/9,-2185/27) (55/9,2020/27) (21,-138) (19432/81,2629972/729) (-2328/169,-95532/2197) (19432/81,-2804860/729) (-2328/169,125796/2197) (-2759/225,215294/3375) (726771/4489,598537719/300763) (-2759/225,-173909/3375) (726771/4489,-647231376/300763) (9122940655/153809604,840573132593615/1907546708808) (9122940655/153809604,-953715842596925/1907546708808) # # a-invariants: (1, 0, 0, 8, 16) # Cremona label: 986d1 # (6,-20) (6,14) (0,-4) (0,4) (-14/9,4/27) (-14/9,38/27) (3/4,35/8) (3/4,-41/8) (498/49,-13490/343) (498/49,10004/343) (1216/9,40628/27) (1216/9,-44276/27) (-14511/23104,12657845/3511808) (-14511/23104,-10452173/3511808) (-4573466/3404025,15589278908/6280426125) (-4573466/3404025,-7151234138/6280426125) # # a-invariants: (1, 0, 0, 3467, -83679) # Cremona label: 986e1 # (80,-881) (80,801) (22,-69) (22,47) (138,-1809) (138,1671) (1762,-74889) (1762,73127) (50,439) (50,-489) (6226/225,572281/3375) (6226/225,-665671/3375) (13490/49,-1647087/343) (13490/49,1552657/343) (53122/121,-12642923/1331) (53122/121,12058581/1331) (33682/841,7953699/24389) (33682/841,-8930477/24389) (22916926/119025,-118127465861/41063625) (22916926/119025,110221126391/41063625) # # a-invariants: (1, -1, 1, -1, 17) # Cremona label: 986f1 # (-1,4) (-1,-4) (3,4) (3,-8) (5,-14) (5,8) (-17/9,-68/27) (-17/9,92/27) (65,488) (65,-554) (3/121,-6208/1331) (3/121,4844/1331) (1679/961,90364/29791) (1679/961,-172204/29791) (8431/900,-888611/27000) (8431/900,608681/27000) (-215641/90601,41766236/27270901) (-215641/90601,-4129196/27270901) # # a-invariants: (1, 1, 0, 7, 0) # Cremona label: 987a1 # (0,0) # # a-invariants: (1, 1, 0, -28, -35) # Cremona label: 987a2 # (-5/4,5/8) # # a-invariants: (1, 1, 1, -62, -214) # Cremona label: 987b1 # (-5,2) # # a-invariants: (1, 1, 1, -67, -184) # Cremona label: 987b2 # (-3,1) (-7,3) (35/4,-39/8) # # a-invariants: (1, 1, 1, -382, 2588) # Cremona label: 987b3 # (51/4,-55/8) (1,46) (1,-48) # # a-invariants: (1, 1, 1, 168, -936) # Cremona label: 987b4 # (19/4,-23/8) # # a-invariants: (0, -1, 1, -208, 1227) # Cremona label: 987c1 # # # a-invariants: (0, 1, 1, -2066, 100013) # Cremona label: 987d1 # # # a-invariants: (1, 0, 0, 1596, 9783) # Cremona label: 987e1 # (-6,3) (-3,-69) (561,13044) (561,-13605) (-3,72) (138,1623) (93/16,8697/64) (138,-1761) (93/16,-9069/64) (57,507) (21,-240) (21,219) (57,-564) (1641/64,-139809/512) (1194/25,52287/125) (1641/64,126681/512) (1194/25,-58257/125) (18669/169,-2845257/2197) (18669/169,2602560/2197) (697/81,110204/729) (697/81,-116477/729) (-438/289,425247/4913) (5973/16,-476403/64) (5973/16,452511/64) (-438/289,-417801/4913) (1341957/121,-1561969848/1331) (1341957/121,1547208321/1331) (-1314591/313600,-9288242697/175616000) (-1314591/313600,10024413657/175616000) (649475818/38452401,46636892401159/238443338601) (649475818/38452401,-50664291948577/238443338601) # # a-invariants: (1, 0, 0, -6909, 79524) # Cremona label: 987e2 # (47/4,-47/8) (564,-13536) (0,-282) (0,282) (564,12972) (-141/4,-4089/8) (-141/4,4371/8) (2397/16,94611/64) (2397/16,-104199/64) (-22560/289,-1677054/4913) (-22560/289,2060574/4913) (84,264) (84,-348) (-16497/196,823299/2744) (127041/1600,9102819/64000) (127041/1600,-14184459/64000) (-16497/196,-592341/2744) (-127840/2809,84959926/148877) (1712116/13689,-1836879004/1601613) (1712116/13689,1636561432/1601613) (-127840/2809,-78184406/148877) (1746933/4624,2195503983/314432) (1746933/4624,-2314295427/314432) # # a-invariants: (0, -1, 0, 114, -247) # Cremona label: 988a1 # # # a-invariants: (0, 0, 0, -362249, 165197113) # Cremona label: 988b1 # (18309,-2476099) (18309,2476099) (4591,-308655) (4591,308655) (2064,90611) (2064,-90611) (2410339/2025,3434349313/91125) (2410339/2025,-3434349313/91125) (38721/49,-6619087/343) (38721/49,6619087/343) (9961633569/24019801,-1093570328949571/117721044701) (9961633569/24019801,1093570328949571/117721044701) # # a-invariants: (0, 0, 0, 16, 36) # Cremona label: 988c1 # (8,26) (8,-26) (0,-6) (0,6) (-7/4,13/8) (-7/4,-13/8) (16/9,-226/27) (16/9,226/27) (1016/49,-33046/343) (1016/49,33046/343) (1017/16,-32499/64) (1017/16,32499/64) (-4264279/4368100,-40262215019/9129329000) (-4264279/4368100,40262215019/9129329000) (352549152/79156609,-9849755763462/704256350273) (352549152/79156609,9849755763462/704256350273) # # a-invariants: (0, 1, 0, -18, -71) # Cremona label: 988d1 # (8,19) (8,-19) # # a-invariants: (0, 1, 0, -1918, -32979) # Cremona label: 988d2 # # # a-invariants: (1, -1, 0, -241, 1502) # Cremona label: 989a1 # # # a-invariants: (1, -1, 0, -15, 25) # Cremona label: 990a1 # (2,-1) (0,5) (0,-5) (5,-10) (5,5) (-4,-1) (3,-1) (-4,5) (3,-2) (35/4,145/8) (10/9,65/27) (10/9,-95/27) (35/4,-215/8) (92/49,-13/343) (51,335) (51,-386) (92/49,-631/343) (1925/529,-57965/12167) (1925/529,13690/12167) (-480/289,-28235/4913) (-480/289,36395/4913) (7633/2304,-388177/110592) (-7774/3025,-859591/166375) (7633/2304,21793/110592) (-7774/3025,1287161/166375) (661925/28561,-578538355/4826809) (661925/28561,466673030/4826809) # # a-invariants: (1, -1, 0, 15, 91) # Cremona label: 990a2 # (-13/4,13/8) (5,14) (5,-19) (3,11) (3,-14) (203,-2989) (203,2786) (-3,-2) (-3,5) (89/64,5089/512) (283/36,4651/216) (89/64,-5801/512) (283/36,-6349/216) (2493/49,-132686/343) (2493/49,115235/343) (-3357/152881,569853406/59776471) (-3357/152881,-568540819/59776471) (-8760671/6969600,164375263687/18399744000) (-8760671/6969600,-141247092247/18399744000) # # a-invariants: (1, -1, 0, -10734, 430740) # Cremona label: 990b1 # (61,-43) (60,-30) (61,-18) (36,282) (36,-318) # # a-invariants: (1, -1, 0, -10614, 440748) # Cremona label: 990b2 # (37,-331) (87,-456) (87,369) (-477/4,477/8) (37,294) # # a-invariants: (1, -1, 0, -14109, 140165) # Cremona label: 990b3 # (10,-5) # # a-invariants: (1, -1, 0, 55011, 1066373) # Cremona label: 990b4 # (-77/4,77/8) # # a-invariants: (1, -1, 0, 2295, -4595) # Cremona label: 990c1 # (2,-1) # # a-invariants: (1, -1, 0, -9225, -29939) # Cremona label: 990c2 # (98,-49) (-94,47) (-13/4,13/8) # # a-invariants: (1, -1, 0, -106425, -13307459) # Cremona label: 990c3 # (-781/4,781/8) # # a-invariants: (1, -1, 0, -96345, 11487325) # Cremona label: 990c4 # (170,-85) (-358,179) (755/4,-755/8) # # a-invariants: (1, -1, 0, -1539765, 735795481) # Cremona label: 990c5 # (2867/4,-2867/8) # # a-invariants: (1, -1, 0, -46845, 23238625) # Cremona label: 990c6 # (-1357/4,1357/8) # # a-invariants: (1, -1, 0, 90, 1300) # Cremona label: 990d1 # # # a-invariants: (1, -1, 0, -53460, 4771030) # Cremona label: 990d2 # # # a-invariants: (1, -1, 0, 45, -459) # Cremona label: 990e1 # (6,-3) (22,-115) (22,93) (15,51) (15,-66) (24630/49,-3949077/343) (24630/49,3776667/343) (1063/169,-21354/2197) (1063/169,7535/2197) (76441929/2166784,613561922661/3189506048) (76441929/2166784,-726084442149/3189506048) (76962694/7049025,-762376203613/18715161375) (76962694/7049025,558040251043/18715161375) # # a-invariants: (1, -1, 0, -675, -6075) # Cremona label: 990e2 # (30,-15) (-18,9) (-45/4,45/8) (90,-855) (63,-477) (-14,29) (90,765) (-14,-15) (-15,-15) (-15,30) (63,414) (-3015/169,4005/2197) (2010,89085) (-3015/169,35190/2197) (2010,-91095) (-558/49,4059/343) (-558/49,-153/343) (31,-61) (31,30) (145593/1024,-56738403/32768) (-32354/2025,-1182691/91125) (165870/3481,48761235/205379) (-32354/2025,2638621/91125) (-27645/2116,-1275765/97336) (-27645/2116,2547435/97336) (165870/3481,-58547565/205379) (145593/1024,52079427/32768) (4164871/8281,-8671276951/753571) (-74967678/4313929,198256756689/8960030533) (4164871/8281,8292273690/753571) (-74967678/4313929,-42548889483/8960030533) (613960315011721/15273714585600,9230383245065516955451/59692120394858496000) (613960315011721/15273714585600,-11629838389781724498811/59692120394858496000) # # a-invariants: (1, -1, 0, -10575, -415935) # Cremona label: 990e3 # (-237/4,237/8) (123,303) (123,-426) (-59,30) (-59,29) (-490467/8281,21594903/753571) (2011,89039) (2011,-91050) (-490467/8281,23037594/753571) (-252989189/4284900,250062748199/8869743000) (-252989189/4284900,273624873031/8869743000) (569723793/3564544,8878481913993/6729859072) (569723793/3564544,-9954120435177/6729859072) # # a-invariants: (1, -1, 0, -2295, 35721) # Cremona label: 990e4 # (147/4,-147/8) (18,-9) (-54,27) (243,3591) (45,-171) (243,-3834) (12,93) (-32,291) (12,-105) (-32,-259) (45,126) (67,-457) (93,-834) (0,189) (-468/49,-80037/343) (93,741) (-468/49,83313/343) (0,-189) (67,390) (-1086/25,-25797/125) (2259/4,-109179/8) (10233/256,252261/4096) (1258/81,38339/729) (1258/81,-49661/729) (2259/4,104661/8) (10233/256,-415989/4096) (-1086/25,31227/125) (339717/169,-200120298/2197) (339717/169,195703977/2197) (-48852/961,4872681/29791) (1843/49,7050/343) (-48852/961,-3358269/29791) (1843/49,-19951/343) (77760/4489,6611247/300763) (77760/4489,-11821167/300763) (21296763/395641,57225288699/248858189) (21296763/395641,-70620952626/248858189) (299020129/2073600,-5110698496447/2985984000) (387333003/7365796,-5355513067071/19990770344) (299020129/2073600,4680109510687/2985984000) (387333003/7365796,4304291296929/19990770344) (17989176075523/35723646049,-77606273871183308551/6752019168783343) (17989176075523/35723646049,74206193668676932890/6752019168783343) # # a-invariants: (1, -1, 0, -34965, 2525175) # Cremona label: 990e5 # (435/4,-435/8) (265,-3570) (265,3305) (111,-105) (111,-6) (6735/49,164865/343) (121,-295) (121,174) (6735/49,-212010/343) (2270665/20736,-100134755/2985984) (57531/100,-13424559/1000) (2270665/20736,-226841005/2985984) (57531/100,12849249/1000) (23961361/219961,-6518231035/103161709) (23961361/219961,-4719647274/103161709) (326982135/162409,5821071889485/65450827) (326982135/162409,-5952845689890/65450827) # # a-invariants: (1, -1, 0, 4455, 201771) # Cremona label: 990e6 # (-141/4,141/8) (963,29466) (-27,261) (963,-30429) (-27,-234) (-5,-421) (237,-3930) (-5,426) (237,3693) (1737/64,292527/512) (387/4,-10287/8) (387/4,9513/8) (1737/64,-306423/512) (75,939) (75,-1014) (1933/49,220170/343) (1933/49,-233701/343) (1107/289,-2307942/4913) (240237/1369,-132230367/50653) (1107/289,2289123/4913) (240237/1369,123341598/50653) (-137391/6400,-153055137/512000) (182179/324,-79936291/5832) (-137391/6400,164046417/512000) (182179/324,76657069/5832) (8570493/841,-25214354226/24389) (8570493/841,24965809929/24389) (1524475515/758641,58880987130909/660776311) (1524475515/758641,-60208805304474/660776311) (-1470227/47089,1973320950/10218313) (-1470227/47089,-1654281691/10218313) # # a-invariants: (1, -1, 0, -9, -27) # Cremona label: 990f1 # # # a-invariants: (1, -1, 0, 81, 675) # Cremona label: 990f2 # (1,27) (1,-28) # # a-invariants: (1, -1, 0, -362394, -79244492) # Cremona label: 990g1 # (-412,206) # # a-invariants: (1, -1, 0, -1099674, 346460980) # Cremona label: 990g2 # (-1180,590) (356,-178) (3299/4,-3299/8) # # a-invariants: (1, -1, 0, -16496154, 25790683828) # Cremona label: 990g3 # (9443/4,-9443/8) # # a-invariants: (1, -1, 0, 2500326, 2138540980) # Cremona label: 990g4 # (-2845/4,2845/8) # # a-invariants: (1, -1, 1, -96608, -11533373) # Cremona label: 990h1 # (-179,89) (793,19853) (-1613/9,2531/27) (-1613/9,2281/27) (793,-20647) (-219761/1225,3867067/42875) (3289/9,31943/27) (-219761/1225,3781693/42875) (3289/9,-41837/27) (1294143967/925444,44654696699059/890277128) (1294143967/925444,-45900553472441/890277128) (-9685326563/54066609,37164501992881/397551775977) (-9685326563/54066609,33654152448881/397551775977) (35534444013601/3061962225,210756722765826499571/169433679720375) (35534444013601/3061962225,-212723190658998831281/169433679720375) # # a-invariants: (1, -1, 1, -95528, -11804669) # Cremona label: 990h2 # (1435/4,-1439/8) (7135/9,536159/27) (1027,30671) (1027,-31699) (7135/9,-557591/27) (4024651/11025,-1794684289/1157625) (4024651/11025,1370938309/1157625) (12890357935/277729,1460074924455661/146363183) (12890357935/277729,-1466868289450589/146363183) (69963124280720815/50035618899396,-18249384910656691094767073/353931253348102954056) (69963124280720815/50035618899396,17754140802974976164920427/353931253348102954056) # # a-invariants: (1, -1, 1, -1568, -4669) # Cremona label: 990h3 # (-3,1) (-27,-119) (61,321) (-27,145) (61,-383) (-155/9,-3301/27) (45,97) (-5,-53) (765,20737) (105,-1043) (45,-143) (765,-21503) (-35,97) (-155/9,3739/27) (-5,57) (-35,-63) (105,937) (373/9,-1013/27) (-939/25,701/125) (193,-2715) (-531/49,37591/343) (-9,97) (-531/49,-34217/343) (193,2521) (253,3841) (253,-4095) (373/9,-133/27) (-9,-89) (-939/25,3869/125) (15045/169,1538389/2197) (-7595/1849,-3143021/79507) (-7595/1849,3390099/79507) (-1595/81,-91727/729) (-12035/361,786523/6859) (15045/169,-1736171/2197) (65205/1369,7094941/50653) (-12035/361,-564717/6859) (-1595/81,105353/729) (5535/4,-417049/8) (5535/4,405971/8) (65205/1369,-9558179/50653) (65761/961,12453831/29791) (65761/961,-14522213/29791) (781981/14161,413735559/1685159) (2610781/225,-4237898449/3375) (781981/14161,-508476457/1685159) (2610781/225,4198733359/3375) (34531821913/99520576,6194961953326111/992817266176) (34531821913/99520576,-6540444225996375/992817266176) # # a-invariants: (1, -1, 1, 6112, -41533) # Cremona label: 990h4 # (37,465) (27/4,-31/8) (37,-503) (213,-3407) (213,3193) (15,-239) (817/9,-31489/27) (817/9,29011/27) (81,949) (1005,-32447) (13,-207) (763,20793) (15,223) (81,-1031) (763,-21557) (1005,31441) (13,193) (1549/225,84463/3375) (31443/961,-13579337/29791) (9073/49,901951/343) (46413,9975793) (12057/289,2516909/4913) (31443/961,12574813/29791) (247,-4185) (46413,-10022207) (247,3937) (9073/49,-965805/343) (12057/289,-2726791/4913) (1549/225,-111073/3375) (8545717/494209,88156520911/347428927) (8545717/494209,-94511588889/347428927) (151845/13456,-274414009/1560896) (990157/13689,1351344509/1601613) (10226023/7396,32304021033/636056) (151845/13456,255239093/1560896) (10226023/7396,-33184095067/636056) (990157/13689,-1468794491/1601613) # # a-invariants: (1, -1, 1, -137, -539) # Cremona label: 990i1 # (-5,2) # # a-invariants: (1, -1, 1, 133, -2591) # Cremona label: 990i2 # (43/4,-47/8) # # a-invariants: (1, -1, 1, -203, 987) # Cremona label: 990j1 # (11,-6) (23,-102) (23,78) (-7,48) (-13,-30) (-7,-42) (5,-12) (-13,42) (5,6) (3,-22) (3,18) (15,26) (15,-42) (47/4,-141/8) (47,282) (47,-330) (47/4,39/8) (203,-2982) (203,2778) (-61/49,12102/343) (683/121,-3882/1331) (-19/25,4206/125) (-143/9,146/27) (-61/49,-12018/343) (-19/25,-4236/125) (-143/9,256/27) (683/121,-4962/1331) (28367/169,4564806/2197) (28367/169,-4935774/2197) (3305/64,-195393/512) (4203/289,-190374/4913) (26327/2209,-1984506/103823) (3305/64,168441/512) (4203/289,114010/4913) (26327/2209,643314/103823) (63144167/2896804,-455956135851/4930360408) (63144167/2896804,343554403209/4930360408) (22008079/1089,102880900058/35937) (60528479/5499025,-64341136182/12895213625) (60528479/5499025,-90493360698/12895213625) (22008079/1089,-103607202602/35937) (1621326018513/104592734464,-1541506802576922081/33826127067533312) (1621326018513/104592734464,983330870514136465/33826127067533312) # # a-invariants: (1, -1, 1, -923, -9669) # Cremona label: 990j2 # (-13,6) (-85/4,81/8) (35,-18) (-15,32) (185,2382) (185,-2568) (53,-324) (-19,-18) (-15,-18) (53,270) (-19,36) (51,-298) (51,246) (-4285/289,-84834/4913) (815/4,22131/8) (-307/16,2265/64) (815/4,-23769/8) (-4285/289,152766/4913) (-307/16,-1101/64) (80837,-23023764) (157265/4489,-2560134/300763) (-23135/1089,422384/35937) (-15931/1225,317052/42875) (-23135/1089,305134/35937) (-15931/1225,197658/42875) (80837,22942926) (157265/4489,-8277384/300763) (-85833085/5654884,441770530689/13447314152) (63005435/373321,470940488442/228099131) (1020681/18496,-886499953/2515456) (-85833085/5654884,-251106768711/13447314152) (63005435/373321,-509664908358/228099131) (1020681/18496,745171881/2515456) (121023019316131/5988438225,1326670712612033735974/463415292041625) (121023019316131/5988438225,-1336036542377104575034/463415292041625) # # a-invariants: (1, -1, 1, -14423, -663069) # Cremona label: 990j3 # (-277/4,273/8) (203,2076) (203,-2280) (-69,36) (-69,32) (879/4,19891/8) (879/4,-21657/8) (-319123/4624,11358345/314432) (-319123/4624,10027587/314432) (362877443/4489,6900380388888/300763) (-92380109/1334025,52947329296/1540798875) (362877443/4489,-6924693478332/300763) (-92380109/1334025,52210897724/1540798875) (1304717094801/6904945216,-1101738673318808589/573773327668736) (1304717094801/6904945216,992748128281555957/573773327668736) # # a-invariants: (1, -1, 1, 1057, -46893) # Cremona label: 990j4 # (107/4,-111/8) (47,300) (183,2408) (183,-2592) (47,-348) (233423/1156,-117691593/39304) (717/16,-20557/64) (233423/1156,109715907/39304) (717/16,17625/64) (130959343/4888521,-270542451152/10808519931) (99025319/1225,983678012052/42875) (130959343/4888521,-29817176152/10808519931) (99025319/1225,-987143941092/42875) (351689263516187/2111086949764,6415248245093337550971/3067320672355201912) (351689263516187/2111086949764,-6929305294705644784029/3067320672355201912) # # a-invariants: (1, -1, 1, -12542, 543741) # Cremona label: 990k1 # (59,-111) (65,-33) (59,51) # # a-invariants: (1, -1, 1, -12722, 527469) # Cremona label: 990k2 # (53,-27) (77,-39) (-517/4,513/8) # # a-invariants: (1, -1, 1, -37472, -2125731) # Cremona label: 990k3 # (-613/4,609/8) # # a-invariants: (1, -1, 1, 9148, 2137101) # Cremona label: 990k4 # (-421/4,417/8) # # a-invariants: (1, -1, 1, -797, -8539) # Cremona label: 990l1 # # # a-invariants: (1, -1, 1, 2668, -45961) # Cremona label: 990l2 # (37,301) (37,-339) # # a-invariants: (1, 0, 1, -1, 4) # Cremona label: 994a1 # (-1,2) (-1,-2) (2,2) (2,-5) (19/9,58/27) (19/9,-142/27) (-52/49,685/343) (-52/49,-664/343) (4199,-274202) (4199,270002) (-21101/22500,6740557/3375000) (-21101/22500,-6950407/3375000) (198748148/89170249,1950348475865/842034661307) (198748148/89170249,-4669161898736/842034661307) # # a-invariants: (1, 0, 1, 255, -796) # Cremona label: 994b1 # (3,-2) # # a-invariants: (1, 0, 1, -1165, -7044) # Cremona label: 994b2 # (-25/4,21/8) # # a-invariants: (1, 1, 0, -371, -3091) # Cremona label: 994c1 # (22,-11) # # a-invariants: (1, 1, 0, -6051, -183715) # Cremona label: 994c2 # (-181/4,181/8) # # a-invariants: (1, 0, 1, 164, 922) # Cremona label: 994d1 # (2,34) (2,-37) (65,-569) (-335/81,10799/729) (65,503) (-335/81,-8513/729) (737/49,25649/343) (737/49,-31151/343) (62528/4489,20983219/300763) (1711768/23409,-2412876682/3581577) (-482821/122500,-567870983/42875000) (-482821/122500,693983333/42875000) (62528/4489,-25473358/300763) (1711768/23409,2147394601/3581577) # # a-invariants: (1, 0, 1, -1611, -39690) # Cremona label: 994d2 # (591,14040) (591,-14632) (150,1685) (150,-1836) (285391/3969,-125748440/250047) (285391/3969,107518760/250047) (1018384001624179/12872667622500,-28365533105579258035733/46185200529386625000) (1018384001624179/12872667622500,24665538864822560785583/46185200529386625000) # # a-invariants: (1, 0, 0, -11, 13) # Cremona label: 994e1 # (2,-1) # # a-invariants: (1, 0, 0, -21, -17) # Cremona label: 994e2 # (-17/4,17/8) # # a-invariants: (1, -1, 1, -16, -13) # Cremona label: 994f1 # (-3,1) (5,1) (-1,1) (5,-7) (-1,-1) (33,-203) (33,169) (-23/9,-41/27) (-23/9,83/27) (-475/289,13873/4913) (431/49,-9143/343) (431/49,5783/343) (-475/289,-10711/4913) (76453/8649,13708037/804357) (-10551/6400,-1117453/512000) (76453/8649,-21622523/804357) (-10551/6400,1449533/512000) # # a-invariants: (1, -1, 1, -96, 371) # Cremona label: 994f2 # (27/4,-31/8) (5,-3) (-11,5) (43/9,-149/27) (7,-1) (43/9,-7/27) (131,-1557) (131,1425) (-9,-17) (-9,25) (7,-7) (7605/961,-371333/29791) (7605/961,105787/29791) (257/64,-4539/512) (301/9,-5425/27) (301/9,4495/27) (-461/100,-24607/1000) (257/64,1971/512) (-461/100,28217/1000) (363403/149769,-807738983/57960603) (143767/14161,-41846279/1685159) (363403/149769,609141419/57960603) (143767/14161,23052847/1685159) (564104401/55353600,-10316620544719/411830784000) (-113218795/287336401,96990974166027/4870639333351) (-113218795/287336401,-99942441705333/4870639333351) (564104401/55353600,5707853017279/411830784000) # # a-invariants: (1, -1, 1, -1516, 23091) # Cremona label: 994f3 # (91/4,-95/8) (21,-25) (21,3) (63/4,-501/8) (63/4,367/8) (357/16,-963/64) (133,1403) (357/16,-529/64) (205/9,-331/27) (205/9,-311/27) (133,-1537) (1448349/64009,-178367949/16194277) (1410241/61504,-207669395/15252992) (-9891/4489,-48702175/300763) (-9891/4489,49064109/300763) (1410241/61504,-157323365/15252992) (35851/900,-4798141/27000) (35851/900,3695611/27000) (1448349/64009,-204258625/16194277) (50007656605/2120878809,-1887299578600001/97672831790877) (50007656605/2120878809,-513375862820941/97672831790877) # # a-invariants: (1, -1, 1, 44, 1267) # Cremona label: 994f4 # (-37/4,33/8) (1177/9,38549/27) (-7,-21) (-7,27) (1177/9,-42107/27) (18697/576,-2858681/13824) (-163021/96100,1035772647/29791000) (-163021/96100,-1015027137/29791000) (18697/576,2396129/13824) (76295139448720801/15905104206393600,-85390274289041427983143369/2005879215235179677184000) (76295139448720801/15905104206393600,73762399992369467050691929/2005879215235179677184000) # # a-invariants: (1, 0, 0, -678, -5660) # Cremona label: 994g1 # (-12,34) (44,-246) (-20,10) (-12,-22) (44,202) (268,-4502) (108,1034) (-244/25,-286/125) (-164/9,-482/27) (-244/25,1506/125) (-164/9,974/27) (268,4234) (30,20) (-16,-26) (108,-1142) (-16,42) (30,-50) (19664/25,-2805522/125) (9596/289,-540118/4913) (-7538/529,-327454/12167) (-9972/961,-348362/29791) (9596/289,376986/4913) (-97620/5041,-2746010/357911) (-7538/529,500828/12167) (19664/25,2707202/125) (-9972/961,657494/29791) (105004/1521,29214758/59319) (105004/1521,-33309914/59319) (-97620/5041,9677030/357911) (-37925599/2795584,-122412508203/4674216448) (-37925599/2795584,185824109731/4674216448) (127508678566316/949500182929,1350026993864431635654/925214816750224967) (191145061014524/969072892225,2526175624638607560438/953969891199673375) (127508678566316/949500182929,-1474274382959056971322/925214816750224967) (191145061014524/969072892225,-2714341689877220203898/953969891199673375) (54613439712784/1851637841001,91146396474780158/2519614340504269749) (54613439712784/1851637841001,-74406329872205895374/2519614340504269749) # # a-invariants: (1, 0, 0, -3238, 65508) # Cremona label: 994g2 # (164,-2070) (164,1906) (52,-222) (159/4,-159/8) (52,170) (24,30) (-4,282) (124/25,-28142/125) (124/25,27522/125) (-46,-320) (22,-82) (-512/9,-6190/27) (24,-54) (-4,-278) (22,60) (-46,366) (-512/9,7726/27) (3146,-178008) (7836/169,223410/2197) (17576/289,1360490/4913) (2428/9,-120850/27) (1006/25,-5994/125) (2428/9,113566/27) (1006/25,964/125) (3146,174862) (7836/169,-325278/2197) (112,998) (112,-1110) (17576/289,-1659282/4913) (-53596/841,3668114/24389) (-30284/2025,-29629646/91125) (-191363/5776,169570623/438976) (9131/484,-1228547/10648) (-53596/841,-2113830/24389) (-30284/2025,30992426/91125) (-191363/5776,-155027035/438976) (9131/484,1027665/10648) (1826780924/3418801,75980540530554/6321363049) (11894428/277729,8055655590/146363183) (60173998/804609,-382790450236/721734273) (191448906/2301289,1988695810008/3491055413) (1826780924/3418801,-79358258459030/6321363049) (99206224/126025,968146735022/44738875) (60173998/804609,328814374030/721734273) (99206224/126025,-1003364944542/44738875) (11894428/277729,-14324019146/146363183) (191448906/2301289,-2279123800410/3491055413) (321317384/7689529,-1725501192126/21323063917) (321317384/7689529,834488086294/21323063917) # # a-invariants: (1, 0, 0, -52198, -4594524) # Cremona label: 994g3 # (-132,66) (318,-3474) (318,3156) (-29696/225,222278/3375) (-29696/225,223162/3375) (-338252854578/2562688129,8587471461228882/129730961154367) (-338252854578/2562688129,8535902796073212/129730961154367) (8800174816/10989225,-802085697351934/36429280875) (8800174816/10989225,772913117836894/36429280875) (465177115504126113472309321335909899296/1703756578259205551161784399054852025,2443293370617432579013747394214730314205300444459876005454/2223879843226428450490681149158160311015616277770190125) (465177115504126113472309321335909899296/1703756578259205551161784399054852025,-3050479880650940468165437923414992059568981280123535697134/2223879843226428450490681149158160311015616277770190125) # # a-invariants: (1, 0, 0, -52238, -4587140) # Cremona label: 994g4 # (1055/4,-1055/8) (-130,-40) (-130,170) (-30134/225,-131906/3375) (-30134/225,583916/3375) (71554/225,-11724338/3375) (71554/225,10651028/3375) (153809270/48841,-1919441422400/10793861) (153809270/48841,1885449573730/10793861) (22552345060220160514/28161956454410025,-104054429406826988135264618278/4726005622076149675831125) (22552345060220160514/28161956454410025,100269802095221602144668382348/4726005622076149675831125) (33595563136834946124470/60498516181478065681,-5652980140221418689659968942215920/470562250886504613562922526329) (33595563136834946124470/60498516181478065681,5391671189072155973144593709071690/470562250886504613562922526329) # # a-invariants: (1, 0, 1, 2, 3) # Cremona label: 995a1 # (-1,0) # # a-invariants: (1, 0, 1, -23, 33) # Cremona label: 995a2 # (7/4,-11/8) # # a-invariants: (0, 1, 1, -15, 19) # Cremona label: 995b1 # (1,-3) (1,2) (7,-18) (19/9,19/27) (19/9,-46/27) (-11/4,51/8) (7,17) (-11/4,-59/8) (2941/1225,50814/42875) (8761/1936,-726827/85184) (2941/1225,-93689/42875) (-6179/1521,-352637/59319) (8761/1936,641643/85184) (-6179/1521,293318/59319) # # a-invariants: (0, 1, 1, 85, 64) # Cremona label: 995b2 # (62,497) (62,-498) (356/25,8196/125) (356/25,-8321/125) (157/36,4897/216) (157/36,-5113/216) (3115423921/3607203600,2446402126370831/216648648216000) (3115423921/3607203600,-2663050774586831/216648648216000) # # a-invariants: (0, -1, 0, 19, -42) # Cremona label: 996a1 # (2,0) # # a-invariants: (0, -1, 0, -116, -312) # Cremona label: 996a2 # (-3,0) # # a-invariants: (0, 1, 0, 164, -8764) # Cremona label: 996b1 # (20,-54) (20,54) (128,-1458) (128,1458) (47,324) (47,-324) (32,174) (32,-174) (308,-5418) (308,5418) (1145/64,-7533/512) (1145/64,7533/512) (25556/25,4087746/125) (25556/25,-4087746/125) (20960/841,-2606886/24389) (20960/841,2606886/24389) (36767/529,7127916/12167) (36767/529,-7127916/12167) (6936512/90601,18464318874/27270901) (6936512/90601,-18464318874/27270901) (373271033/246016,-7214303649933/122023936) (373271033/246016,7214303649933/122023936) # # a-invariants: (0, 1, 0, -12, 36) # Cremona label: 996c1 # (0,-6) (0,6) (3,6) (-4,6) (12,42) (12,-42) (3,-6) (-4,-6) (144/49,2022/343) (144/49,-2022/343) (112/9,1198/27) (-63/16,-393/64) (112/9,-1198/27) (-63/16,393/64) (444/7225,3647022/614125) (37740,-7331766) (37740,7331766) (-85/1369,307062/50653) (-85/1369,-307062/50653) (444/7225,-3647022/614125) # # a-invariants: (0, 1, 0, 108, -876) # Cremona label: 996c2 # (11,-42) (11,42) (80761/7056,26444053/592704) (80761/7056,-26444053/592704) (373287277211/9891025,228071254958317134/31107273625) (373287277211/9891025,-228071254958317134/31107273625) # # a-invariants: (0, -1, 1, -18, 36) # Cremona label: 997a1 # (3,-1) (3,0) (4,3) (4,-4) (10,-28) (10,27) (141/49,-181/343) (141/49,-162/343) (493/36,9955/216) (493/36,-10171/216) (11169/3025,-507097/166375) (11169/3025,340722/166375) (6712336/17689,17365249887/2352637) (6712336/17689,-17367602524/2352637) # # a-invariants: (0, -1, 1, -5, -3) # Cremona label: 997b1 # (-1,0) (-1,-1) (3,0) (3,-1) (-3/4,-5/8) (-3/4,-3/8) (5,-9) (5,8) (9,24) (9,-25) (-11/9,-19/27) (-11/9,-8/27) (-15/16,-1/64) (-15/16,-63/64) (-31/25,-72/125) (-31/25,-53/125) (53/4,-369/8) (53/4,361/8) (251,3968) (251,-3969) (229/36,-3025/216) (229/36,2809/216) (-279/361,-5043/6859) (-279/361,-1816/6859) (-597/529,-896/12167) (-597/529,-11271/12167) (881/16,-25921/64) (881/16,25857/64) (999/289,12544/4913) (999/289,-17457/4913) (-1325/1521,-55223/59319) (-1325/1521,-4096/59319) (-2083/2809,-75672/148877) (-2083/2809,-73205/148877) (-2575/3136,-150569/175616) (-2575/3136,-25047/175616) (-4217/3969,-4031/250047) (-4217/3969,-246016/250047) (6945/1681,-412232/68921) (6945/1681,343311/68921) (7583/2401,-262144/117649) (7583/2401,144495/117649) (28087/1089,4578560/35937) (28087/1089,-4614497/35937) (-70191/65536,-16425241/16777216) (-70191/65536,-351975/16777216) (96765/14641,24738863/1771561) (96765/14641,-26510424/1771561) (192449/61504,16248961/15252992) (192449/61504,-31501953/15252992) (1742271/9025,-2294022144/857375) (1742271/9025,2293164769/857375) (-2599459/3189796,-4816498707/5696975656) (-2599459/3189796,-880476949/5696975656) (12864333/543169,-45140394249/400315553) (12864333/543169,44740078696/400315553) (16054316710459/3975848566209,-44846629553976565888/7927655176138134177) (16054316710459/3975848566209,36918974377838431711/7927655176138134177) # # a-invariants: (0, -1, 1, -24, 54) # Cremona label: 997c1 # (3,-1) (3,0) (4,2) (4,-3) (1,5) (1,-6) (13/4,-5/8) (13/4,-3/8) (6,9) (6,-10) (-2,-10) (-2,9) (-3,-10) (-3,9) (28/9,-10/27) (28/9,-17/27) (34/9,-62/27) (34/9,35/27) (81/25,-71/125) (81/25,-54/125) (27,-136) (27,135) (144/49,62/343) (144/49,-405/343) (169/64,-1035/512) (169/64,523/512) (13/36,1349/216) (13/36,-1565/216) (408/121,-1385/1331) (408/121,54/1331) (199/81,-1837/729) (199/81,1108/729) (-134/25,-114/125) (-134/25,-11/125) (273/16,4175/64) (273/16,-4239/64) (367,-7021) (367,7020) (1213/361,26/6859) (1213/361,-6885/6859) (1951/625,-6676/15625) (1951/625,-8949/15625) (1819/529,-15167/12167) (1819/529,3000/12167) (1869/361,-47862/6859) (1869/361,41003/6859) (1629/676,-46493/17576) (1629/676,28917/17576) (2608/361,-101809/6859) (2608/361,94950/6859) (8233/2704,-121363/140608) (8233/2704,-19245/140608) (6913/441,526105/9261) (6913/441,-535366/9261) (-4308/841,86986/24389) (-4308/841,-111375/24389) (5634/3721,-1105218/226981) (5634/3721,878237/226981) (63111/14641,5329844/1771561) (63111/14641,-7101405/1771561) (144366/46225,-4358214/9938375) (144366/46225,-5580161/9938375) (84202/3481,-23557134/205379) (84202/3481,23351755/205379) (256488/82369,-14574258/23639903) (256488/82369,-9065645/23639903) (292438/88209,-22571135/26198073) (292438/88209,-3626938/26198073) (157351/25281,39618341/4019679) (157351/25281,-43638020/4019679) (668589/195364,-103311603/86350888) (668589/195364,16960715/86350888) (90441/80656,108648675/22906304) (90441/80656,-131554979/22906304) (361096/7225,213490569/614125) (361096/7225,-214104694/614125) (-141704/136161,415810450/50243409) (-141704/136161,-466053859/50243409) (-540579/136900,-454704669/50653000) (-540579/136900,404051669/50653000) (508170273/155351296,-1377037296945/1936298553344) (508170273/155351296,-559261256399/1936298553344) (1079244049/305690256,2828625670223/5344688435904) (1079244049/305690256,-8173314106127/5344688435904) (2277319276/702515025,-7827953440526/18620160737625) (2277319276/702515025,-10792207297099/18620160737625) # # a-invariants: (1, -1, 0, -69, -208) # Cremona label: 999a1 # (32,156) (32,-188) (1247273/118336,287925041/40707584) (1247273/118336,-716986953/40707584) # # a-invariants: (1, -1, 1, -8, 10) # Cremona label: 999b1 # (2,-1) (2,-2) (-1,4) (-1,-4) (10/9,-70/27) (10/9,13/27) (185/64,-2297/512) (185/64,305/512) (2714/361,-155014/6859) (2714/361,96589/6859) (-3081934/1050625,1843157039/1076890625) (-3081934/1050625,238934686/1076890625)