# List of all solutions (x,y) of the generalized Ramanujan-Nagell equations
# x^2 + b = 1 * y, where
# x >= 0 is an S-integer and y an S-unit,
# b is an integer bounded by 1 <= |b| <= 12, and
# S is the set of the first 5 primes.
# It contains 2783 pairs in total.
# Format: "(x,y)".
# Computing this list took 2248 seconds.
# Authors: Rafael von Känel and Benjamin Matschke, 2015.
# License: Creative commons 3.0 by-nc.
#
# b = -12:
#
(0,-12)
(2/9,-968/81)
(1,-11)
(6/5,-264/25)
(2,-8)
(15/7,-363/49)
(37/15,-1331/225)
(18/7,-264/49)
(8/3,-44/9)
(3,-3)
(16/5,-44/25)
(10/3,-8/9)
(17/5,-11/25)
(24/7,-12/49)
(31/9,-11/81)
(776/225,-5324/50625)
(38/11,-8/121)
(606/175,-264/30625)
(433/125,-11/15625)
(97/28,1/784)
(52/15,4/225)
(111/32,33/1024)
(170/49,88/2401)
(139/40,121/1600)
(94/27,88/729)
(7/2,1/4)
(43/12,121/144)
(18/5,24/25)
(76/21,484/441)
(26/7,88/49)
(15/4,33/16)
(271/70,14641/4900)
(4,4)
(102/25,2904/625)
(9/2,33/4)
(14/3,88/9)
(28/5,484/25)
(6,24)
(13/2,121/4)
(69/8,3993/64)
(10,88)
(12,132)
(106/7,10648/49)
(244/9,58564/81)
(54,2904)
#
# b = -11:
#
(0,-11)
(11/56,-34375/3136)
(1/4,-175/16)
(1/3,-98/9)
(4/9,-875/81)
(33/50,-26411/2500)
(11/16,-2695/256)
(9/11,-1250/121)
(1,-10)
(71/66,-42875/4356)
(11/9,-770/81)
(3/2,-35/4)
(67/44,-16807/1936)
(11/6,-275/36)
(101/54,-21875/2916)
(2,-7)
(11/5,-154/25)
(7/3,-50/9)
(19/8,-343/64)
(43/18,-1715/324)
(17/7,-250/49)
(83/32,-4375/1024)
(29/11,-490/121)
(8/3,-35/9)
(481/176,-109375/30976)
(11/4,-55/16)
(23/8,-175/64)
(44/15,-539/225)
(191/64,-8575/4096)
(3,-2)
(55/18,-539/324)
(34/11,-175/121)
(752/243,-84035/59049)
(22/7,-55/49)
(767/243,-61250/59049)
(19/6,-35/36)
(1153/363,-120050/131769)
(29/9,-50/81)
(13/4,-7/16)
(88/27,-275/729)
(209/64,-1375/4096)
(36/11,-35/121)
(23/7,-10/49)
(89/27,-98/729)
(33/10,-11/100)
(109/33,-98/1089)
(649/196,-1375/38416)
(53/16,-7/256)
(401/121,-250/14641)
(179/54,-35/2916)
(18656/5625,-539/31640625)
(199/60,1/3600)
(2627/792,1225/627264)
(1433/432,625/186624)
(209/63,22/3969)
(73/22,5/484)
(3399/1024,18865/1048576)
(83/25,14/625)
(93/28,25/784)
(319/96,385/9216)
(599/180,2401/32400)
(10/3,1/9)
(401/120,2401/14400)
(331/99,1750/9801)
(121/36,385/1296)
(27/8,25/64)
(1007/297,43750/88209)
(163/48,1225/2304)
(17/5,14/25)
(416/121,12005/14641)
(31/9,70/81)
(7/2,5/4)
(74/21,625/441)
(286/81,9625/6561)
(18/5,49/25)
(11/3,22/9)
(41/11,350/121)
(15/4,49/16)
(187/48,9625/2304)
(47/12,625/144)
(107/27,3430/729)
(4,5)
(33/8,385/64)
(13/3,70/9)
(4499/1029,8593750/1058841)
(53/12,1225/144)
(5137/1152,11790625/1327104)
(33/7,550/49)
(107/22,6125/484)
(5,14)
(46/9,1225/81)
(11/2,77/4)
(1199/216,924385/46656)
(6,25)
(31/5,686/25)
(69/11,3430/121)
(13/2,125/4)
(187/27,26950/729)
(706/99,390625/9801)
(22/3,385/9)
(267/32,60025/1024)
(17/2,245/4)
(2599/300,5764801/90000)
(9,70)
(11,110)
(143/12,18865/144)
(907/72,765625/5184)
(121/9,13750/81)
(43/3,1750/9)
(16,245)
(50/3,2401/9)
(19,350)
(14551/729,205885750/531441)
(177/8,30625/64)
(99/4,9625/16)
(3147/112,9765625/12544)
(33,1078)
(44,1925)
(56,3125)
(293/3,85750/9)
(131,17150)
(2453/12,6015625/144)
(767/2,588245/4)
#
# b = -10:
#
(0,-10)
(2/7,-486/49)
(1,-9)
(5/4,-135/16)
(20/11,-810/121)
(2,-6)
(634/275,-354294/75625)
(5/2,-15/4)
(13/5,-81/25)
(14/5,-54/25)
(20/7,-90/49)
(95/32,-1215/1024)
(3,-1)
(34/11,-54/121)
(25/8,-15/64)
(22/7,-6/49)
(382/121,-486/14641)
(79/25,-9/625)
(487/154,9/23716)
(253/80,9/6400)
(155/49,15/2401)
(19/6,1/36)
(89/28,81/784)
(35/11,15/121)
(223/70,729/4900)
(16/5,6/25)
(13/4,9/16)
(10/3,10/9)
(265/77,10935/5929)
(7/2,9/4)
(25/7,135/49)
(161/44,6561/1936)
(4,6)
(37/8,729/64)
(5,15)
(11/2,81/4)
(8,54)
(10,90)
(68/5,4374/25)
(247/14,59049/196)
(35,1215)
#
# b = -9:
#
(0,-9)
(1/33,-9800/1089)
(3/55,-27216/3025)
(3/49,-21600/2401)
(417/4235,-161243136/17935225)
(1/7,-440/49)
(21/128,-147015/16384)
(1/5,-224/25)
(57/275,-677376/75625)
(69/320,-916839/102400)
(3/11,-1080/121)
(3/10,-891/100)
(15/49,-21384/2401)
(1/3,-80/9)
(39/112,-111375/12544)
(9/25,-5544/625)
(3/8,-567/64)
(3/7,-432/49)
(1/2,-35/4)
(39/77,-51840/5929)
(447/875,-6690816/765625)
(5/9,-704/81)
(69/121,-127008/14641)
(3/5,-216/25)
(17/27,-6272/729)
(2/3,-77/9)
(87/125,-133056/15625)
(69/98,-81675/9604)
(3/4,-135/16)
(9/11,-1008/121)
(21/25,-5184/625)
(6/7,-405/49)
(423/484,-1929375/234256)
(29/33,-8960/1089)
(111/125,-128304/15625)
(69/77,-48600/5929)
(15/16,-2079/256)
(61/63,-32000/3969)
(239/243,-474320/59049)
(1,-8)
(123/121,-116640/14641)
(51/49,-19008/2401)
(12/11,-945/121)
(141/128,-127575/16384)
(39/35,-9504/1225)
(9/8,-495/64)
(31/27,-5600/729)
(201/175,-235224/30625)
(7/6,-275/36)
(6/5,-189/25)
(429/343,-874800/117649)
(9/7,-360/49)
(57/44,-14175/1936)
(33/25,-4536/625)
(199/147,-154880/21609)
(15/11,-864/121)
(7/5,-176/25)
(13/9,-560/81)
(3/2,-27/4)
(17/11,-800/121)
(249/160,-168399/25600)
(11/7,-320/49)
(51/32,-6615/1024)
(1423/891,-5120000/793881)
(57/35,-7776/1225)
(2841/1715,-18399744/2941225)
(5/3,-56/9)
(27/16,-1575/256)
(127/75,-34496/5625)
(213/125,-95256/15625)
(12/7,-297/49)
(213/121,-86400/14641)
(39/22,-2835/484)
(9/5,-144/25)
(11057/6075,-209893376/36905625)
(51/28,-4455/784)
(1149/625,-2195424/390625)
(17/9,-440/81)
(93/49,-12960/2401)
(19/10,-539/100)
(21/11,-648/121)
(39/20,-2079/400)
(237/121,-75600/14641)
(7431/3773,-72900000/14235529)
(2,-5)
(699/343,-570240/117649)
(51/25,-3024/625)
(33/16,-1215/256)
(23/11,-560/121)
(113/54,-13475/2916)
(103/49,-11000/2401)
(53/25,-2816/625)
(15/7,-216/49)
(69/32,-4455/1024)
(59/27,-3080/729)
(267/121,-60480/14641)
(361/162,-105875/26244)
(123/55,-12096/3025)
(47/21,-1760/441)
(9/4,-63/16)
(8273/3645,-51131696/13286025)
(21201/9317,-331776000/86806489)
(57/25,-2376/625)
(786/343,-441045/117649)
(633/275,-279936/75625)
(7/3,-32/9)
(129/55,-10584/3025)
(33/14,-675/196)
(107/45,-6776/2025)
(117/49,-7920/2401)
(12/5,-81/25)
(309/128,-51975/16384)
(457/189,-112640/35721)
(22/9,-245/81)
(27/11,-360/121)
(87/35,-3456/1225)
(311/125,-43904/15625)
(5/2,-11/4)
(123/49,-6480/2401)
(111/44,-5103/1936)
(1581/625,-1016064/390625)
(309/121,-36288/14641)
(23/9,-200/81)
(1011/392,-360855/153664)
(13/5,-56/25)
(201/77,-12960/5929)
(21/8,-135/64)
(3507/1331,-3645000/1771561)
(93/35,-2376/1225)
(323/121,-27440/14641)
(267/100,-18711/10000)
(171/64,-7623/4096)
(59/22,-875/484)
(121/45,-3584/2025)
(1455/539,-497664/290521)
(73/27,-1232/729)
(19/7,-80/49)
(30/11,-189/121)
(351/128,-24255/16384)
(69/25,-864/625)
(58/21,-605/441)
(3453/1250,-2139291/1562500)
(111/40,-2079/1600)
(39/14,-243/196)
(679/243,-70400/59049)
(10551/3773,-16796160/14235529)
(351/125,-17424/15625)
(31/11,-128/121)
(354/125,-15309/15625)
(17/6,-35/36)
(3783/1331,-1632960/1771561)
(219/77,-5400/5929)
(501/176,-27783/30976)
(183/64,-3375/4096)
(43/15,-176/225)
(141/49,-1728/2401)
(72/25,-441/625)
(159/55,-1944/3025)
(859/297,-56000/88209)
(81/28,-495/784)
(996/343,-66825/117649)
(93/32,-567/1024)
(1821/625,-199584/390625)
(2559/875,-342144/765625)
(79/27,-320/729)
(717/245,-26136/60025)
(7053/2401,-2138400/5764801)
(97/33,-392/1089)
(147/50,-891/2500)
(357/121,-4320/14641)
(723/245,-17496/60025)
(62/21,-125/441)
(3945/1331,-381024/1771561)
(261/88,-1575/7744)
(1329/448,-40095/200704)
(1019/343,-20480/117649)
(223/75,-896/5625)
(241/81,-968/6561)
(4671/1568,-309375/2458624)
(24429/8192,-7203735/67108864)
(1149/385,-13824/148225)
(439/147,-1760/21609)
(4107/1375,-148176/1890625)
(269/90,-539/8100)
(5979/2000,-251559/4000000)
(8427/2816,-354375/7929856)
(7197/2401,-86400/5764801)
(9069/3025,-108864/9150625)
(13119/4375,-157464/19140625)
(9799/3267,-39200/10673289)
(14703/4900,88209/24010000)
(2188/729,4375/531441)
(1513/504,3025/254016)
(1201/400,2401/160000)
(5639/1875,157696/3515625)
(4007/1331,112000/1771561)
(1623/539,19440/290521)
(2067/686,37125/470596)
(663/220,3969/48400)
(193/64,385/4096)
(16433/5445,3211264/29648025)
(9441/3125,1241856/9765625)
(366/121,2187/14641)
(339/112,2025/12544)
(1551/512,46305/262144)
(901/297,17920/88209)
(531/175,6336/30625)
(1339/441,42592/194481)
(381/125,4536/15625)
(247/81,1960/6561)
(61/20,121/400)
(101/33,400/1089)
(150/49,891/2401)
(1213/396,60025/156816)
(372/121,6615/14641)
(123/40,729/1600)
(443/144,9625/20736)
(951/308,50625/94864)
(65/21,256/441)
(697/225,30184/50625)
(171/55,2016/3025)
(2721/875,513216/765625)
(28/9,55/81)
(153/49,1800/2401)
(25/8,49/64)
(69/22,405/484)
(393/125,13824/15625)
(1083/343,114048/117649)
(79/25,616/625)
(683/216,46585/46656)
(111/35,1296/1225)
(257/81,7000/6561)
(51/16,297/256)
(387/121,18000/14641)
(3901/1215,1931776/1476225)
(1131/352,164025/123904)
(29/9,112/81)
(249/77,8640/5929)
(7797/2401,8910000/5764801)
(393/121,22680/14641)
(13/4,25/16)
(801/245,101376/60025)
(23/7,88/49)
(33/10,189/100)
(255/77,11664/5929)
(849/256,130977/65536)
(213/64,8505/4096)
(417/125,33264/15625)
(405/121,32256/14641)
(211/63,8800/3969)
(1149/343,261360/117649)
(37/11,280/121)
(2118/625,970299/390625)
(17/5,64/25)
(41/12,385/144)
(24/7,135/49)
(839/243,172480/59049)
(87/25,1944/625)
(195/56,9801/3136)
(337/96,30625/9216)
(95/27,2464/729)
(53/15,784/225)
(39/11,432/121)
(1221/343,432000/117649)
(57/16,945/256)
(18/5,99/25)
(177/49,9720/2401)
(933/256,280665/65536)
(281/77,25600/5929)
(11/3,40/9)
(81/22,2205/484)
(447/121,68040/14641)
(93/25,3024/625)
(183/49,11880/2401)
(15/4,81/16)
(307/81,35200/6561)
(2301/605,2000376/366025)
(42/11,675/121)
(15663/4096,94334625/16777216)
(18399/4802,130990365/23059204)
(27/7,288/49)
(213/55,18144/3025)
(31/8,385/64)
(3291/847,4374000/717409)
(137/35,7744/1225)
(138/35,8019/1225)
(219/55,20736/3025)
(4,7)
(129/32,7425/1024)
(507/125,116424/15625)
(1119/275,571536/75625)
(57/14,1485/196)
(37/9,640/81)
(29/7,400/49)
(199/48,18865/2304)
(21/5,216/25)
(13263/3125,88016544/9765625)
(213/50,22869/2500)
(47/11,1120/121)
(13/3,88/9)
(213/49,23760/2401)
(87/20,3969/400)
(48/11,1215/121)
(373/84,75625/7056)
(67/15,2464/225)
(65427/14641,2351462400/214358881)
(9/2,45/4)
(159/35,14256/1225)
(73/16,3025/256)
(51/11,1512/121)
(228/49,30375/2401)
(411/88,99225/7744)
(117/25,8064/625)
(33/7,648/49)
(6297/1331,23708160/1771561)
(43/9,1120/81)
(4947/1024,15035625/1048576)
(237/49,34560/2401)
(39/8,945/64)
(397/81,98560/6561)
(123/25,9504/625)
(5,16)
(51/10,1701/100)
(57/11,2160/121)
(21/4,297/16)
(843/160,480249/25600)
(16/3,175/9)
(113/21,8800/441)
(27/5,504/25)
(443/81,137200/6561)
(39/7,1080/49)
(141/25,14256/625)
(687/121,340200/14641)
(159/28,18225/784)
(63/11,2880/121)
(23/4,385/16)
(1011/175,746496/30625)
(29/5,616/25)
(65/11,3136/121)
(161/27,19360/729)
(6,27)
(1461/242,1607445/58564)
(759/125,435456/15625)
(43/7,1408/49)
(156/25,18711/625)
(169/27,22000/729)
(201/32,31185/1024)
(3933/625,11952864/390625)
(19/3,280/9)
(51/8,2025/64)
(45/7,1584/49)
(33/5,864/25)
(813/121,529200/14641)
(519/77,216000/5929)
(75/11,4536/121)
(339/49,93312/2401)
(7,40)
(85/12,5929/144)
(57/8,2673/64)
(1857/256,2858625/65536)
(109/15,9856/225)
(51/7,2160/49)
(15/2,189/4)
(23/3,448/9)
(54/7,2475/49)
(969/125,798336/15625)
(39/5,1296/25)
(71/9,4312/81)
(87/11,6480/121)
(8,55)
(2811/343,6842880/117649)
(403/49,140800/2401)
(33/4,945/16)
(377/45,123904/2025)
(93/11,7560/121)
(6283/729,34693120/531441)
(219/25,42336/625)
(123/14,13365/196)
(222/25,43659/625)
(9,72)
(447/49,178200/2401)
(83/9,6160/81)
(37/4,1225/16)
(9633/1024,83357505/1048576)
(48/5,2079/25)
(1173/121,1244160/14641)
(69/7,4320/49)
(633/64,363825/4096)
(983/99,878080/9801)
(51/5,2376/25)
(31/3,880/9)
(114/11,11907/121)
(21/2,405/4)
(349/33,112000/1089)
(117/11,12600/121)
(75/7,5184/49)
(11,112)
(57/5,3024/25)
(183/16,31185/256)
(1387/121,1792000/14641)
(129/11,15552/121)
(579/49,313632/2401)
(12,135)
(195/16,35721/256)
(87/7,7128/49)
(101/8,9625/64)
(317/25,94864/625)
(13,160)
(27/2,693/4)
(41/3,1600/9)
(69/5,4536/25)
(4779/343,21780000/117649)
(489/35,228096/1225)
(309/22,91125/484)
(127/9,15400/81)
(159/11,24192/121)
(471/32,212625/1024)
(3639/245,12702096/60025)
(15,216)
(303/20,88209/400)
(123/8,14553/64)
(111/7,11880/49)
(431/27,179200/729)
(177/11,30240/121)
(81/5,6336/25)
(411/25,163296/625)
(148/9,21175/81)
(183/11,32400/121)
(17,280)
(879/50,750141/2500)
(18,315)
(453/25,199584/625)
(129/7,16200/49)
(2283/121,5080320/14641)
(19,352)
(39/2,1485/4)
(141/7,19440/49)
(21,432)
(87/4,7425/16)
(1689/77,2799360/5929)
(111/5,12096/25)
(113/5,12544/25)
(14163/625,197074944/390625)
(93/4,8505/16)
(1523/64,2282665/4096)
(24,567)
(171/7,28800/49)
(1203/49,1425600/2401)
(223/9,49000/81)
(25,616)
(651/25,418176/625)
(79/3,6160/9)
(27,720)
(49299/1792,2401490025/3211264)
(303/11,90720/121)
(3387/121,11340000/14641)
(147/5,21384/25)
(89/3,7840/9)
(327/11,105840/121)
(30,891)
(219/7,47520/49)
(221/7,48400/49)
(3449/108,11790625/11664)
(33,1080)
(1893/55,3556224/3025)
(69/2,4725/4)
(177/5,31104/25)
(183/5,33264/25)
(1797/49,3207600/2401)
(408/11,165375/121)
(417/11,172800/121)
(39,1512)
(119/3,14080/9)
(453/11,204120/121)
(339/8,114345/64)
(5457/125,29638224/15625)
(309/7,95040/49)
(177/4,31185/16)
(45,2016)
(61617/1331,3780710640/1771561)
(17509/375,305299456/140625)
(47,2200)
(1291/27,1660120/729)
(777/16,601425/256)
(51,2592)
(52,2695)
(53,2800)
(384/7,147015/49)
(279/5,77616/25)
(57,3240)
(1461/25,2128896/625)
(3237/55,10450944/3025)
(309/5,95256/25)
(63,3960)
(67,4480)
(1077/16,1157625/256)
(69,4752)
(141/2,19845/4)
(507/7,256608/49)
(3603/49,12960000/2401)
(233/3,54208/9)
(78,6075)
(4539/55,20575296/3025)
(87,7560)
(447/5,199584/25)
(93,8640)
(2581/27,6655000/729)
(102,10395)
(1059/10,1120581/100)
(1167/11,1360800/121)
(747/7,557568/49)
(771/7,594000/49)
(789/7,622080/49)
(1051/9,1103872/81)
(237/2,56133/4)
(123,15120)
(129,16632)
(1503/11,2257920/121)
(147,21600)
(741/5,548856/25)
(4901/33,24010000/1089)
(157,24640)
(165,27216)
(4299/25,18475776/625)
(11127/64,123773265/4096)
(369/2,136125/4)
(195,38016)
(1479/7,2187000/49)
(213,45360)
(7881/35,62099136/1225)
(228,51975)
(695/3,482944/9)
(253,64000)
(267,71280)
(291,84672)
(297,88200)
(327,106920)
(2649/8,7016625/64)
(333,110880)
(4083/11,16669800/121)
(381,145152)
(1241/3,1540000/9)
(5217/11,27216000/121)
(483,233280)
(487,237160)
(14331/25,205371936/625)
(591,349272)
(597,356400)
(723,522720)
(732,535815)
(753,567000)
(3981/4,15848217/16)
(1053,1108800)
(5361/5,28740096/25)
(6159/5,37933056/25)
(1347,1814400)
(1455,2117016)
(18783/11,352800000/121)
(98157/49,9634775040/2401)
(2307,5322240)
(2643,6985440)
(2747,7546000)
(3237,10478160)
(23979/7,574992000/49)
(33771/7,1140480000/49)
(14403,207446400)
(18147,329313600)
(26247,688905000)
(58803,3457792800)
#
# b = -8:
#
(0,-8)
(2/5,-196/25)
(1,-7)
(4/3,-56/9)
(13/8,-343/64)
(16/9,-392/81)
(2,-4)
(24/11,-392/121)
(25/11,-343/121)
(12/5,-56/25)
(5/2,-7/4)
(116/45,-2744/2025)
(8/3,-8/9)
(11/4,-7/16)
(14/5,-4/25)
(76/27,-56/729)
(31/11,-7/121)
(212/75,-56/5625)
(181/64,-7/4096)
(280/99,-8/9801)
(19601/6930,1/48024900)
(99/35,1/1225)
(249/88,49/7744)
(1712/605,2744/366025)
(17/6,1/36)
(57/20,49/400)
(20/7,8/49)
(43/15,49/225)
(26/9,28/81)
(1593/550,117649/302500)
(32/11,56/121)
(193/66,2401/4356)
(3,1)
(113/36,2401/1296)
(16/5,56/25)
(10/3,28/9)
(88/25,2744/625)
(11/3,49/9)
(4,8)
(346/81,67228/6561)
(9/2,49/4)
(6,28)
(8,56)
(51/5,2401/25)
(38/3,1372/9)
(20,392)
(368/11,134456/121)
#
# b = -7:
#
(0,-7)
(1/25,-4374/625)
(1/2,-27/4)
(1,-6)
(91/88,-45927/7744)
(7/5,-126/25)
(10/7,-243/49)
(19/11,-486/121)
(7/4,-63/16)
(2,-3)
(35/16,-567/256)
(11/5,-54/25)
(7/3,-14/9)
(17/7,-54/49)
(5/2,-3/4)
(28/11,-63/121)
(13/5,-6/25)
(21/8,-7/64)
(329/125,-1134/15625)
(29/11,-6/121)
(37/14,-3/196)
(119/45,-14/2025)
(931/352,-567/123904)
(11203/4235,-39366/17935225)
(463/175,-6/30625)
(127/48,1/2304)
(233/88,81/7744)
(53/20,9/400)
(133/50,189/2500)
(8/3,1/9)
(148/55,729/3025)
(431/160,6561/25600)
(19/7,18/49)
(11/4,9/16)
(14/5,21/25)
(23/8,81/64)
(3,2)
(443/140,59049/19600)
(35/11,378/121)
(16/5,81/25)
(7/2,21/4)
(173/49,13122/2401)
(4,9)
(49/10,1701/100)
(5,18)
(7,42)
(29/4,729/16)
(13,162)
(14,189)
(2188/25,4782969/625)
(175,30618)
#
# b = -6:
#
(0,-6)
(3/8,-375/64)
(2/3,-50/9)
(1,-5)
(3/2,-15/4)
(227/147,-78125/21609)
(166/99,-31250/9801)
(12/7,-150/49)
(13/7,-125/49)
(2,-2)
(19/9,-125/81)
(24/11,-150/121)
(9/4,-15/16)
(7/3,-5/9)
(26/11,-50/121)
(12/5,-6/25)
(2052/847,-93750/717409)
(17/7,-5/49)
(39/16,-15/256)
(22/9,-2/81)
(120/49,-6/2401)
(4801/1960,1/3841600)
(485/198,1/39204)
(49/20,1/400)
(103/42,25/1764)
(27/11,3/121)
(59/24,25/576)
(217/88,625/7744)
(5/2,1/4)
(68/27,250/729)
(18/7,30/49)
(73/28,625/784)
(8/3,10/9)
(11/4,25/16)
(3,3)
(7/2,25/4)
(4,10)
(51/11,1875/121)
(29/6,625/36)
(6,30)
(131/16,15625/256)
(9,75)
(16,250)
(138/7,18750/49)
#
# b = -5:
#
(0,-5)
(1/3,-44/9)
(2/5,-121/25)
(5/7,-220/49)
(17/18,-1331/324)
(1,-4)
(5/4,-55/16)
(35/27,-2420/729)
(3/2,-11/4)
(5/3,-20/9)
(95/56,-6655/3136)
(9/5,-44/25)
(40/21,-605/441)
(2,-1)
(151/75,-5324/5625)
(19/9,-44/81)
(15/7,-20/49)
(13/6,-11/36)
(35/16,-55/256)
(11/5,-4/25)
(325/147,-2420/21609)
(20/9,-5/81)
(125/56,-55/3136)
(67/30,-11/900)
(181/81,-44/6561)
(6261/2800,121/7840000)
(161/72,1/5184)
(767/343,44/117649)
(123/55,4/3025)
(501/224,121/50176)
(47/21,4/441)
(56/25,11/625)
(9/4,1/16)
(761/336,14641/112896)
(25/11,20/121)
(16/7,11/49)
(103/45,484/2025)
(7/3,4/9)
(29/12,121/144)
(17/7,44/49)
(5/2,5/4)
(487/189,58564/35721)
(13/5,44/25)
(21/8,121/64)
(25/9,220/81)
(3,4)
(107/35,5324/1225)
(10/3,55/9)
(27/7,484/49)
(4,11)
(5,20)
(129/20,14641/400)
(7,44)
(23/3,484/9)
(416/49,161051/2401)
(25/2,605/4)
(15,220)
(73,5324)
#
# b = -4:
#
(0,-4)
(2/99,-39200/9801)
(2/55,-12096/3025)
(2/49,-9600/2401)
(278/4235,-71663616/17935225)
(2/21,-1760/441)
(7/64,-16335/4096)
(2/15,-896/225)
(38/275,-301056/75625)
(23/160,-101871/25600)
(2/11,-480/121)
(1/5,-99/25)
(10/49,-9504/2401)
(2/9,-320/81)
(13/56,-12375/3136)
(6/25,-2464/625)
(1/4,-63/16)
(2/7,-192/49)
(1/3,-35/9)
(26/77,-23040/5929)
(298/875,-2973696/765625)
(10/27,-2816/729)
(46/121,-56448/14641)
(2/5,-96/25)
(34/81,-25088/6561)
(4/9,-308/81)
(58/125,-59136/15625)
(23/49,-9075/2401)
(1/2,-15/4)
(6/11,-448/121)
(14/25,-2304/625)
(4/7,-180/49)
(141/242,-214375/58564)
(58/99,-35840/9801)
(74/125,-57024/15625)
(46/77,-21600/5929)
(5/8,-231/64)
(122/189,-128000/35721)
(478/729,-1897280/531441)
(2/3,-32/9)
(82/121,-51840/14641)
(34/49,-8448/2401)
(8/11,-420/121)
(47/64,-14175/4096)
(26/35,-4224/1225)
(3/4,-55/16)
(62/81,-22400/6561)
(134/175,-104544/30625)
(7/9,-275/81)
(4/5,-84/25)
(286/343,-388800/117649)
(6/7,-160/49)
(19/22,-1575/484)
(22/25,-2016/625)
(398/441,-619520/194481)
(10/11,-384/121)
(14/15,-704/225)
(26/27,-2240/729)
(1,-3)
(34/33,-3200/1089)
(83/80,-18711/6400)
(22/21,-1280/441)
(17/16,-735/256)
(2846/2673,-20480000/7144929)
(38/35,-3456/1225)
(1894/1715,-8177664/2941225)
(10/9,-224/81)
(9/8,-175/64)
(254/225,-137984/50625)
(142/125,-42336/15625)
(8/7,-132/49)
(142/121,-38400/14641)
(13/11,-315/121)
(6/5,-64/25)
(22114/18225,-839573504/332150625)
(17/14,-495/196)
(766/625,-975744/390625)
(34/27,-1760/729)
(62/49,-5760/2401)
(19/15,-539/225)
(14/11,-288/121)
(13/10,-231/100)
(158/121,-33600/14641)
(4954/3773,-32400000/14235529)
(4/3,-20/9)
(466/343,-253440/117649)
(34/25,-1344/625)
(11/8,-135/64)
(46/33,-2240/1089)
(113/81,-13475/6561)
(206/147,-44000/21609)
(106/75,-11264/5625)
(10/7,-96/49)
(23/16,-495/256)
(118/81,-12320/6561)
(178/121,-26880/14641)
(361/243,-105875/59049)
(82/55,-5376/3025)
(94/63,-7040/3969)
(3/2,-7/4)
(16546/10935,-204526784/119574225)
(14134/9317,-147456000/86806489)
(38/25,-1056/625)
(524/343,-196020/117649)
(422/275,-124416/75625)
(14/9,-128/81)
(86/55,-4704/3025)
(11/7,-75/49)
(214/135,-27104/18225)
(78/49,-3520/2401)
(8/5,-36/25)
(103/64,-5775/4096)
(914/567,-450560/321489)
(44/27,-980/729)
(18/11,-160/121)
(58/35,-1536/1225)
(622/375,-175616/140625)
(5/3,-11/9)
(82/49,-2880/2401)
(37/22,-567/484)
(1054/625,-451584/390625)
(206/121,-16128/14641)
(46/27,-800/729)
(337/196,-40095/38416)
(26/15,-224/225)
(134/77,-5760/5929)
(7/4,-15/16)
(2338/1331,-1620000/1771561)
(62/35,-1056/1225)
(646/363,-109760/131769)
(89/50,-2079/2500)
(57/32,-847/1024)
(59/33,-875/1089)
(242/135,-14336/18225)
(970/539,-221184/290521)
(146/81,-4928/6561)
(38/21,-320/441)
(20/11,-84/121)
(117/64,-2695/4096)
(46/25,-384/625)
(116/63,-2420/3969)
(1151/625,-237699/390625)
(37/20,-231/400)
(13/7,-27/49)
(1358/729,-281600/531441)
(7034/3773,-7464960/14235529)
(234/125,-7744/15625)
(62/33,-512/1089)
(236/125,-6804/15625)
(17/9,-35/81)
(2522/1331,-725760/1771561)
(146/77,-2400/5929)
(167/88,-3087/7744)
(61/32,-375/1024)
(86/45,-704/2025)
(94/49,-768/2401)
(48/25,-196/625)
(106/55,-864/3025)
(1718/891,-224000/793881)
(27/14,-55/196)
(664/343,-29700/117649)
(31/16,-63/256)
(1214/625,-88704/390625)
(1706/875,-152064/765625)
(158/81,-1280/6561)
(478/245,-11616/60025)
(4702/2401,-950400/5764801)
(194/99,-1568/9801)
(49/25,-99/625)
(238/121,-1920/14641)
(482/245,-7776/60025)
(124/63,-500/3969)
(2630/1331,-169344/1771561)
(87/44,-175/1936)
(443/224,-4455/50176)
(2038/1029,-81920/1058841)
(446/225,-3584/50625)
(482/243,-3872/59049)
(1557/784,-34375/614656)
(8143/4096,-800415/16777216)
(766/385,-6144/148225)
(878/441,-7040/194481)
(2738/1375,-65856/1890625)
(269/135,-539/18225)
(1993/1000,-27951/1000000)
(2809/1408,-39375/1982464)
(4798/2401,-38400/5764801)
(6046/3025,-48384/9150625)
(8746/4375,-69984/19140625)
(19598/9801,-156800/96059601)
(4901/2450,9801/6002500)
(4376/2187,17500/4782969)
(1513/756,3025/571536)
(1201/600,2401/360000)
(11278/5625,630784/31640625)
(8014/3993,448000/15944049)
(1082/539,8640/290521)
(689/343,4125/117649)
(221/110,441/12100)
(193/96,385/9216)
(32866/16335,12845056/266832225)
(6294/3125,551936/9765625)
(244/121,972/14641)
(113/56,225/3136)
(517/256,5145/65536)
(1802/891,71680/793881)
(354/175,2816/30625)
(2678/1323,170368/1750329)
(254/125,2016/15625)
(494/243,7840/59049)
(61/30,121/900)
(202/99,1600/9801)
(100/49,396/2401)
(1213/594,60025/352836)
(248/121,2940/14641)
(41/20,81/400)
(443/216,9625/46656)
(317/154,5625/23716)
(130/63,1024/3969)
(1394/675,120736/455625)
(114/55,896/3025)
(1814/875,228096/765625)
(56/27,220/729)
(102/49,800/2401)
(25/12,49/144)
(23/11,45/121)
(262/125,6144/15625)
(722/343,50688/117649)
(158/75,2464/5625)
(683/324,46585/104976)
(74/35,576/1225)
(514/243,28000/59049)
(17/8,33/64)
(258/121,8000/14641)
(7802/3645,7727104/13286025)
(377/176,18225/30976)
(58/27,448/729)
(166/77,3840/5929)
(5198/2401,3960000/5764801)
(262/121,10080/14641)
(13/6,25/36)
(534/245,45056/60025)
(46/21,352/441)
(11/5,21/25)
(170/77,5184/5929)
(283/128,14553/16384)
(71/32,945/1024)
(278/125,14784/15625)
(270/121,14336/14641)
(422/189,35200/35721)
(766/343,116160/117649)
(74/33,1120/1089)
(1412/625,431244/390625)
(34/15,256/225)
(41/18,385/324)
(16/7,60/49)
(1678/729,689920/531441)
(58/25,864/625)
(65/28,1089/784)
(337/144,30625/20736)
(190/81,9856/6561)
(106/45,3136/2025)
(26/11,192/121)
(814/343,192000/117649)
(19/8,105/64)
(12/5,44/25)
(118/49,4320/2401)
(311/128,31185/16384)
(562/231,102400/53361)
(22/9,160/81)
(27/11,245/121)
(298/121,30240/14641)
(62/25,1344/625)
(122/49,5280/2401)
(5/2,9/4)
(614/243,140800/59049)
(1534/605,889056/366025)
(28/11,300/121)
(5221/2048,10481625/4194304)
(6133/2401,14554485/5764801)
(18/7,128/49)
(142/55,8064/3025)
(31/12,385/144)
(2194/847,1944000/717409)
(274/105,30976/11025)
(92/35,3564/1225)
(146/55,9216/3025)
(8/3,28/9)
(43/16,825/256)
(338/125,51744/15625)
(746/275,254016/75625)
(19/7,165/49)
(74/27,2560/729)
(58/21,1600/441)
(199/72,18865/5184)
(14/5,96/25)
(8842/3125,39118464/9765625)
(71/25,2541/625)
(94/33,4480/1089)
(26/9,352/81)
(142/49,10560/2401)
(29/10,441/100)
(32/11,540/121)
(373/126,75625/15876)
(134/45,9856/2025)
(43618/14641,1045094400/214358881)
(3,5)
(106/35,6336/1225)
(73/24,3025/576)
(34/11,672/121)
(152/49,13500/2401)
(137/44,11025/1936)
(78/25,3584/625)
(22/7,288/49)
(4198/1331,10536960/1771561)
(86/27,4480/729)
(1649/512,1670625/262144)
(158/49,15360/2401)
(13/4,105/16)
(794/243,394240/59049)
(82/25,4224/625)
(10/3,64/9)
(17/5,189/25)
(38/11,960/121)
(7/2,33/4)
(281/80,53361/6400)
(32/9,700/81)
(226/63,35200/3969)
(18/5,224/25)
(886/243,548800/59049)
(26/7,480/49)
(94/25,6336/625)
(458/121,151200/14641)
(53/14,2025/196)
(42/11,1280/121)
(23/6,385/36)
(674/175,331776/30625)
(58/15,2464/225)
(130/33,12544/1089)
(322/81,77440/6561)
(4,12)
(487/121,178605/14641)
(506/125,193536/15625)
(86/21,5632/441)
(104/25,8316/625)
(338/81,88000/6561)
(67/16,3465/256)
(2622/625,5312384/390625)
(38/9,1120/81)
(17/4,225/16)
(30/7,704/49)
(22/5,384/25)
(542/121,235200/14641)
(346/77,96000/5929)
(50/11,2016/121)
(226/49,41472/2401)
(14/3,160/9)
(85/18,5929/324)
(19/4,297/16)
(619/128,317625/16384)
(218/45,39424/2025)
(34/7,960/49)
(5,21)
(46/9,1792/81)
(36/7,1100/49)
(646/125,354816/15625)
(26/5,576/25)
(142/27,17248/729)
(58/11,2880/121)
(16/3,220/9)
(1874/343,3041280/117649)
(806/147,563200/21609)
(11/2,105/4)
(754/135,495616/18225)
(62/11,3360/121)
(12566/2187,138772480/4782969)
(146/25,18816/625)
(41/7,1485/49)
(148/25,19404/625)
(6,32)
(298/49,79200/2401)
(166/27,24640/729)
(37/6,1225/36)
(3211/512,9261945/262144)
(32/5,924/25)
(782/121,552960/14641)
(46/7,1920/49)
(211/32,40425/1024)
(1966/297,3512320/88209)
(34/5,1056/25)
(62/9,3520/81)
(76/11,5292/121)
(7,45)
(698/99,448000/9801)
(78/11,5600/121)
(50/7,2304/49)
(22/3,448/9)
(38/5,1344/25)
(61/8,3465/64)
(2774/363,7168000/131769)
(86/11,6912/121)
(386/49,139392/2401)
(8,60)
(65/8,3969/64)
(58/7,3168/49)
(101/12,9625/144)
(634/75,379456/5625)
(26/3,640/9)
(9,77)
(82/9,6400/81)
(46/5,2016/25)
(3186/343,9680000/117649)
(326/35,101376/1225)
(103/11,10125/121)
(254/27,61600/729)
(106/11,10752/121)
(157/16,23625/256)
(2426/245,5645376/60025)
(10,96)
(101/10,9801/100)
(41/4,1617/16)
(74/7,5280/49)
(862/81,716800/6561)
(118/11,13440/121)
(54/5,2816/25)
(274/25,72576/625)
(296/27,84700/729)
(122/11,14400/121)
(34/3,1120/9)
(293/25,83349/625)
(12,140)
(302/25,88704/625)
(86/7,7200/49)
(1522/121,2257920/14641)
(38/3,1408/9)
(13,165)
(94/7,8640/49)
(14,192)
(29/2,825/4)
(1126/77,1244160/5929)
(74/5,5376/25)
(226/15,50176/225)
(9442/625,87588864/390625)
(31/2,945/4)
(1523/96,2282665/9216)
(16,252)
(114/7,12800/49)
(802/49,633600/2401)
(446/27,196000/729)
(50/3,2464/9)
(434/25,185856/625)
(158/9,24640/81)
(18,320)
(16433/896,266832225/802816)
(202/11,40320/121)
(2258/121,5040000/14641)
(98/5,9504/25)
(178/9,31360/81)
(218/11,47040/121)
(20,396)
(146/7,21120/49)
(442/21,193600/441)
(3449/162,11790625/26244)
(22,480)
(1262/55,1580544/3025)
(23,525)
(118/5,13824/25)
(122/5,14784/25)
(1198/49,1425600/2401)
(272/11,73500/121)
(278/11,76800/121)
(26,672)
(238/9,56320/81)
(302/11,90720/121)
(113/4,12705/16)
(3638/125,13172544/15625)
(206/7,42240/49)
(59/2,3465/4)
(30,896)
(41078/1331,1680315840/1771561)
(35018/1125,1221197824/1265625)
(94/3,8800/9)
(2582/81,6640480/6561)
(259/8,66825/64)
(34,1152)
(104/3,10780/9)
(106/3,11200/9)
(256/7,65340/49)
(186/5,34496/25)
(38,1440)
(974/25,946176/625)
(2158/55,4644864/3025)
(206/5,42336/25)
(42,1760)
(134/3,17920/9)
(359/8,128625/64)
(46,2112)
(47,2205)
(338/7,114048/49)
(2402/49,5760000/2401)
(466/9,216832/81)
(52,2700)
(3026/55,9144576/3025)
(58,3360)
(298/5,88704/25)
(62,3840)
(5162/81,26620000/6561)
(68,4620)
(353/5,124509/25)
(778/11,604800/121)
(498/7,247808/49)
(514/7,264000/49)
(526/7,276480/49)
(2102/27,4415488/729)
(79,6237)
(82,6720)
(86,7392)
(1002/11,1003520/121)
(98,9600)
(494/5,243936/25)
(9802/99,96040000/9801)
(314/3,98560/9)
(110,12096)
(2866/25,8211456/625)
(3709/32,13752585/1024)
(123,15125)
(130,16896)
(986/7,972000/49)
(142,20160)
(5254/35,27599616/1225)
(152,23100)
(1390/9,1931776/81)
(506/3,256000/9)
(178,31680)
(194,37632)
(198,39200)
(218,47520)
(883/4,779625/16)
(222,49280)
(2722/11,7408800/121)
(254,64512)
(2482/9,6160000/81)
(3478/11,12096000/121)
(322,103680)
(974/3,948640/9)
(9554/25,91276416/625)
(394,155232)
(398,158400)
(482,232320)
(488,238140)
(502,252000)
(1327/2,1760913/4)
(702,492800)
(3574/5,12773376/25)
(4106/5,16859136/25)
(898,806400)
(970,940896)
(12522/11,156800000/121)
(65438/49,4282122240/2401)
(1538,2365440)
(1762,3104640)
(5494/3,30184000/9)
(2158,4656960)
(15986/7,255552000/49)
(22514/7,506880000/49)
(9602,92198400)
(12098,146361600)
(17498,306180000)
(39202,1536796800)
#
# b = -3:
#
(0,-3)
(1/9,-242/81)
(1/2,-11/4)
(3/5,-66/25)
(1,-2)
(15/14,-363/196)
(37/30,-1331/900)
(9/7,-66/49)
(4/3,-11/9)
(3/2,-3/4)
(8/5,-11/25)
(5/3,-2/9)
(17/10,-11/100)
(12/7,-3/49)
(31/18,-11/324)
(388/225,-1331/50625)
(19/11,-2/121)
(303/175,-66/30625)
(433/250,-11/62500)
(97/56,1/3136)
(26/15,1/225)
(111/64,33/4096)
(85/49,22/2401)
(139/80,121/6400)
(47/27,22/729)
(7/4,1/16)
(43/24,121/576)
(9/5,6/25)
(38/21,121/441)
(13/7,22/49)
(15/8,33/64)
(271/140,14641/19600)
(2,1)
(51/25,726/625)
(9/4,33/16)
(7/3,22/9)
(14/5,121/25)
(3,6)
(13/4,121/16)
(69/16,3993/256)
(5,22)
(6,33)
(53/7,2662/49)
(122/9,14641/81)
(27,726)
#
# b = -2:
#
(0,-2)
(1/5,-49/25)
(1/2,-7/4)
(2/3,-14/9)
(13/16,-343/256)
(8/9,-98/81)
(1,-1)
(12/11,-98/121)
(25/22,-343/484)
(6/5,-14/25)
(5/4,-7/16)
(58/45,-686/2025)
(4/3,-2/9)
(11/8,-7/64)
(7/5,-1/25)
(38/27,-14/729)
(31/22,-7/484)
(106/75,-14/5625)
(181/128,-7/16384)
(140/99,-2/9801)
(19601/13860,1/192099600)
(99/70,1/4900)
(249/176,49/30976)
(856/605,686/366025)
(17/12,1/144)
(57/40,49/1600)
(10/7,2/49)
(43/30,49/900)
(13/9,7/81)
(1593/1100,117649/1210000)
(16/11,14/121)
(193/132,2401/17424)
(3/2,1/4)
(113/72,2401/5184)
(8/5,14/25)
(5/3,7/9)
(44/25,686/625)
(11/6,49/36)
(2,2)
(173/81,16807/6561)
(9/4,49/16)
(3,7)
(4,14)
(51/10,2401/100)
(19/3,343/9)
(10,98)
(184/11,33614/121)
#
# b = -1:
#
(0,-1)
(1/99,-9800/9801)
(1/55,-3024/3025)
(1/49,-2400/2401)
(139/4235,-17915904/17935225)
(1/21,-440/441)
(7/128,-16335/16384)
(1/15,-224/225)
(19/275,-75264/75625)
(23/320,-101871/102400)
(1/11,-120/121)
(1/10,-99/100)
(5/49,-2376/2401)
(1/9,-80/81)
(13/112,-12375/12544)
(3/25,-616/625)
(1/8,-63/64)
(1/7,-48/49)
(1/6,-35/36)
(13/77,-5760/5929)
(149/875,-743424/765625)
(5/27,-704/729)
(23/121,-14112/14641)
(1/5,-24/25)
(17/81,-6272/6561)
(2/9,-77/81)
(29/125,-14784/15625)
(23/98,-9075/9604)
(1/4,-15/16)
(3/11,-112/121)
(7/25,-576/625)
(2/7,-45/49)
(141/484,-214375/234256)
(29/99,-8960/9801)
(37/125,-14256/15625)
(23/77,-5400/5929)
(5/16,-231/256)
(61/189,-32000/35721)
(239/729,-474320/531441)
(1/3,-8/9)
(41/121,-12960/14641)
(17/49,-2112/2401)
(4/11,-105/121)
(47/128,-14175/16384)
(13/35,-1056/1225)
(3/8,-55/64)
(31/81,-5600/6561)
(67/175,-26136/30625)
(7/18,-275/324)
(2/5,-21/25)
(143/343,-97200/117649)
(3/7,-40/49)
(19/44,-1575/1936)
(11/25,-504/625)
(199/441,-154880/194481)
(5/11,-96/121)
(7/15,-176/225)
(13/27,-560/729)
(1/2,-3/4)
(17/33,-800/1089)
(83/160,-18711/25600)
(11/21,-320/441)
(17/32,-735/1024)
(1423/2673,-5120000/7144929)
(19/35,-864/1225)
(947/1715,-2044416/2941225)
(5/9,-56/81)
(9/16,-175/256)
(127/225,-34496/50625)
(71/125,-10584/15625)
(4/7,-33/49)
(71/121,-9600/14641)
(13/22,-315/484)
(3/5,-16/25)
(11057/18225,-209893376/332150625)
(17/28,-495/784)
(383/625,-243936/390625)
(17/27,-440/729)
(31/49,-1440/2401)
(19/30,-539/900)
(7/11,-72/121)
(13/20,-231/400)
(79/121,-8400/14641)
(2477/3773,-8100000/14235529)
(2/3,-5/9)
(233/343,-63360/117649)
(17/25,-336/625)
(11/16,-135/256)
(23/33,-560/1089)
(113/162,-13475/26244)
(103/147,-11000/21609)
(53/75,-2816/5625)
(5/7,-24/49)
(23/32,-495/1024)
(59/81,-3080/6561)
(89/121,-6720/14641)
(361/486,-105875/236196)
(41/55,-1344/3025)
(47/63,-1760/3969)
(3/4,-7/16)
(8273/10935,-51131696/119574225)
(7067/9317,-36864000/86806489)
(19/25,-264/625)
(262/343,-49005/117649)
(211/275,-31104/75625)
(7/9,-32/81)
(43/55,-1176/3025)
(11/14,-75/196)
(107/135,-6776/18225)
(39/49,-880/2401)
(4/5,-9/25)
(103/128,-5775/16384)
(457/567,-112640/321489)
(22/27,-245/729)
(9/11,-40/121)
(29/35,-384/1225)
(311/375,-43904/140625)
(5/6,-11/36)
(41/49,-720/2401)
(37/44,-567/1936)
(527/625,-112896/390625)
(103/121,-4032/14641)
(23/27,-200/729)
(337/392,-40095/153664)
(13/15,-56/225)
(67/77,-1440/5929)
(7/8,-15/64)
(1169/1331,-405000/1771561)
(31/35,-264/1225)
(323/363,-27440/131769)
(89/100,-2079/10000)
(57/64,-847/4096)
(59/66,-875/4356)
(121/135,-3584/18225)
(485/539,-55296/290521)
(73/81,-1232/6561)
(19/21,-80/441)
(10/11,-21/121)
(117/128,-2695/16384)
(23/25,-96/625)
(58/63,-605/3969)
(1151/1250,-237699/1562500)
(37/40,-231/1600)
(13/14,-27/196)
(679/729,-70400/531441)
(3517/3773,-1866240/14235529)
(117/125,-1936/15625)
(31/33,-128/1089)
(118/125,-1701/15625)
(17/18,-35/324)
(1261/1331,-181440/1771561)
(73/77,-600/5929)
(167/176,-3087/30976)
(61/64,-375/4096)
(43/45,-176/2025)
(47/49,-192/2401)
(24/25,-49/625)
(53/55,-216/3025)
(859/891,-56000/793881)
(27/28,-55/784)
(332/343,-7425/117649)
(31/32,-63/1024)
(607/625,-22176/390625)
(853/875,-38016/765625)
(79/81,-320/6561)
(239/245,-2904/60025)
(2351/2401,-237600/5764801)
(97/99,-392/9801)
(49/50,-99/2500)
(119/121,-480/14641)
(241/245,-1944/60025)
(62/63,-125/3969)
(1315/1331,-42336/1771561)
(87/88,-175/7744)
(443/448,-4455/200704)
(1019/1029,-20480/1058841)
(223/225,-896/50625)
(241/243,-968/59049)
(1557/1568,-34375/2458624)
(8143/8192,-800415/67108864)
(383/385,-1536/148225)
(439/441,-1760/194481)
(1369/1375,-16464/1890625)
(269/270,-539/72900)
(1993/2000,-27951/4000000)
(2809/2816,-39375/7929856)
(2399/2401,-9600/5764801)
(3023/3025,-12096/9150625)
(4373/4375,-17496/19140625)
(9799/9801,-39200/96059601)
(4901/4900,9801/24010000)
(2188/2187,4375/4782969)
(1513/1512,3025/2286144)
(1201/1200,2401/1440000)
(5639/5625,157696/31640625)
(4007/3993,112000/15944049)
(541/539,2160/290521)
(689/686,4125/470596)
(221/220,441/48400)
(193/192,385/36864)
(16433/16335,3211264/266832225)
(3147/3125,137984/9765625)
(122/121,243/14641)
(113/112,225/12544)
(517/512,5145/262144)
(901/891,17920/793881)
(177/175,704/30625)
(1339/1323,42592/1750329)
(127/125,504/15625)
(247/243,1960/59049)
(61/60,121/3600)
(101/99,400/9801)
(50/49,99/2401)
(1213/1188,60025/1411344)
(124/121,735/14641)
(41/40,81/1600)
(443/432,9625/186624)
(317/308,5625/94864)
(65/63,256/3969)
(697/675,30184/455625)
(57/55,224/3025)
(907/875,57024/765625)
(28/27,55/729)
(51/49,200/2401)
(25/24,49/576)
(23/22,45/484)
(131/125,1536/15625)
(361/343,12672/117649)
(79/75,616/5625)
(683/648,46585/419904)
(37/35,144/1225)
(257/243,7000/59049)
(17/16,33/256)
(129/121,2000/14641)
(3901/3645,1931776/13286025)
(377/352,18225/123904)
(29/27,112/729)
(83/77,960/5929)
(2599/2401,990000/5764801)
(131/121,2520/14641)
(13/12,25/144)
(267/245,11264/60025)
(23/21,88/441)
(11/10,21/100)
(85/77,1296/5929)
(283/256,14553/65536)
(71/64,945/4096)
(139/125,3696/15625)
(135/121,3584/14641)
(211/189,8800/35721)
(383/343,29040/117649)
(37/33,280/1089)
(706/625,107811/390625)
(17/15,64/225)
(41/36,385/1296)
(8/7,15/49)
(839/729,172480/531441)
(29/25,216/625)
(65/56,1089/3136)
(337/288,30625/82944)
(95/81,2464/6561)
(53/45,784/2025)
(13/11,48/121)
(407/343,48000/117649)
(19/16,105/256)
(6/5,11/25)
(59/49,1080/2401)
(311/256,31185/65536)
(281/231,25600/53361)
(11/9,40/81)
(27/22,245/484)
(149/121,7560/14641)
(31/25,336/625)
(61/49,1320/2401)
(5/4,9/16)
(307/243,35200/59049)
(767/605,222264/366025)
(14/11,75/121)
(5221/4096,10481625/16777216)
(6133/4802,14554485/23059204)
(9/7,32/49)
(71/55,2016/3025)
(31/24,385/576)
(1097/847,486000/717409)
(137/105,7744/11025)
(46/35,891/1225)
(73/55,2304/3025)
(4/3,7/9)
(43/32,825/1024)
(169/125,12936/15625)
(373/275,63504/75625)
(19/14,165/196)
(37/27,640/729)
(29/21,400/441)
(199/144,18865/20736)
(7/5,24/25)
(4421/3125,9779616/9765625)
(71/50,2541/2500)
(47/33,1120/1089)
(13/9,88/81)
(71/49,2640/2401)
(29/20,441/400)
(16/11,135/121)
(373/252,75625/63504)
(67/45,2464/2025)
(21809/14641,261273600/214358881)
(3/2,5/4)
(53/35,1584/1225)
(73/48,3025/2304)
(17/11,168/121)
(76/49,3375/2401)
(137/88,11025/7744)
(39/25,896/625)
(11/7,72/49)
(2099/1331,2634240/1771561)
(43/27,1120/729)
(1649/1024,1670625/1048576)
(79/49,3840/2401)
(13/8,105/64)
(397/243,98560/59049)
(41/25,1056/625)
(5/3,16/9)
(17/10,189/100)
(19/11,240/121)
(7/4,33/16)
(281/160,53361/25600)
(16/9,175/81)
(113/63,8800/3969)
(9/5,56/25)
(443/243,137200/59049)
(13/7,120/49)
(47/25,1584/625)
(229/121,37800/14641)
(53/28,2025/784)
(21/11,320/121)
(23/12,385/144)
(337/175,82944/30625)
(29/15,616/225)
(65/33,3136/1089)
(161/81,19360/6561)
(2,3)
(487/242,178605/58564)
(253/125,48384/15625)
(43/21,1408/441)
(52/25,2079/625)
(169/81,22000/6561)
(67/32,3465/1024)
(1311/625,1328096/390625)
(19/9,280/81)
(17/8,225/64)
(15/7,176/49)
(11/5,96/25)
(271/121,58800/14641)
(173/77,24000/5929)
(25/11,504/121)
(113/49,10368/2401)
(7/3,40/9)
(85/36,5929/1296)
(19/8,297/64)
(619/256,317625/65536)
(109/45,9856/2025)
(17/7,240/49)
(5/2,21/4)
(23/9,448/81)
(18/7,275/49)
(323/125,88704/15625)
(13/5,144/25)
(71/27,4312/729)
(29/11,720/121)
(8/3,55/9)
(937/343,760320/117649)
(403/147,140800/21609)
(11/4,105/16)
(377/135,123904/18225)
(31/11,840/121)
(6283/2187,34693120/4782969)
(73/25,4704/625)
(41/14,1485/196)
(74/25,4851/625)
(3,8)
(149/49,19800/2401)
(83/27,6160/729)
(37/12,1225/144)
(3211/1024,9261945/1048576)
(16/5,231/25)
(391/121,138240/14641)
(23/7,480/49)
(211/64,40425/4096)
(983/297,878080/88209)
(17/5,264/25)
(31/9,880/81)
(38/11,1323/121)
(7/2,45/4)
(349/99,112000/9801)
(39/11,1400/121)
(25/7,576/49)
(11/3,112/9)
(19/5,336/25)
(61/16,3465/256)
(1387/363,1792000/131769)
(43/11,1728/121)
(193/49,34848/2401)
(4,15)
(65/16,3969/256)
(29/7,792/49)
(101/24,9625/576)
(317/75,94864/5625)
(13/3,160/9)
(9/2,77/4)
(41/9,1600/81)
(23/5,504/25)
(1593/343,2420000/117649)
(163/35,25344/1225)
(103/22,10125/484)
(127/27,15400/729)
(53/11,2688/121)
(157/32,23625/1024)
(1213/245,1411344/60025)
(5,24)
(101/20,9801/400)
(41/8,1617/64)
(37/7,1320/49)
(431/81,179200/6561)
(59/11,3360/121)
(27/5,704/25)
(137/25,18144/625)
(148/27,21175/729)
(61/11,3600/121)
(17/3,280/9)
(293/50,83349/2500)
(6,35)
(151/25,22176/625)
(43/7,1800/49)
(761/121,564480/14641)
(19/3,352/9)
(13/2,165/4)
(47/7,2160/49)
(7,48)
(29/4,825/16)
(563/77,311040/5929)
(37/5,1344/25)
(113/15,12544/225)
(4721/625,21897216/390625)
(31/4,945/16)
(1523/192,2282665/36864)
(8,63)
(57/7,3200/49)
(401/49,158400/2401)
(223/27,49000/729)
(25/3,616/9)
(217/25,46464/625)
(79/9,6160/81)
(9,80)
(16433/1792,266832225/3211264)
(101/11,10080/121)
(1129/121,1260000/14641)
(49/5,2376/25)
(89/9,7840/81)
(109/11,11760/121)
(10,99)
(73/7,5280/49)
(221/21,48400/441)
(3449/324,11790625/104976)
(11,120)
(631/55,395136/3025)
(23/2,525/4)
(59/5,3456/25)
(61/5,3696/25)
(599/49,356400/2401)
(136/11,18375/121)
(139/11,19200/121)
(13,168)
(119/9,14080/81)
(151/11,22680/121)
(113/8,12705/64)
(1819/125,3293136/15625)
(103/7,10560/49)
(59/4,3465/16)
(15,224)
(20539/1331,420078960/1771561)
(17509/1125,305299456/1265625)
(47/3,2200/9)
(1291/81,1660120/6561)
(259/16,66825/256)
(17,288)
(52/3,2695/9)
(53/3,2800/9)
(128/7,16335/49)
(93/5,8624/25)
(19,360)
(487/25,236544/625)
(1079/55,1161216/3025)
(103/5,10584/25)
(21,440)
(67/3,4480/9)
(359/16,128625/256)
(23,528)
(47/2,2205/4)
(169/7,28512/49)
(1201/49,1440000/2401)
(233/9,54208/81)
(26,675)
(1513/55,2286144/3025)
(29,840)
(149/5,22176/25)
(31,960)
(2581/81,6655000/6561)
(34,1155)
(353/10,124509/100)
(389/11,151200/121)
(249/7,61952/49)
(257/7,66000/49)
(263/7,69120/49)
(1051/27,1103872/729)
(79/2,6237/4)
(41,1680)
(43,1848)
(501/11,250880/121)
(49,2400)
(247/5,60984/25)
(4901/99,24010000/9801)
(157/3,24640/9)
(55,3024)
(1433/25,2052864/625)
(3709/64,13752585/4096)
(123/2,15125/4)
(65,4224)
(493/7,243000/49)
(71,5040)
(2627/35,6899904/1225)
(76,5775)
(695/9,482944/81)
(253/3,64000/9)
(89,7920)
(97,9408)
(99,9800)
(109,11880)
(883/8,779625/64)
(111,12320)
(1361/11,1852200/121)
(127,16128)
(1241/9,1540000/81)
(1739/11,3024000/121)
(161,25920)
(487/3,237160/9)
(4777/25,22819104/625)
(197,38808)
(199,39600)
(241,58080)
(244,59535)
(251,63000)
(1327/4,1760913/16)
(351,123200)
(1787/5,3193344/25)
(2053/5,4214784/25)
(449,201600)
(485,235224)
(6261/11,39200000/121)
(32719/49,1070530560/2401)
(769,591360)
(881,776160)
(2747/3,7546000/9)
(1079,1164240)
(7993/7,63888000/49)
(11257/7,126720000/49)
(4801,23049600)
(6049,36590400)
(8749,76545000)
(19601,384199200)
#
# b = 1:
#
(0,1)
(1/7,50/49)
(2/11,125/121)
(7/24,625/576)
(1/3,10/9)
(1/2,5/4)
(3/4,25/16)
(1,2)
(4/3,25/9)
(13/9,250/81)
(527/336,390625/112896)
(2,5)
(117/44,15625/1936)
(3,10)
(24/7,625/49)
(11/2,125/4)
(7,50)
(79/3,6250/9)
#
# b = 2:
#
(0,2)
(1/70,9801/4900)
(1/11,243/121)
(1/7,99/49)
(1/4,33/16)
(23/84,14641/7056)
(17/56,6561/3136)
(9/25,1331/625)
(2/5,54/25)
(1/2,9/4)
(2/3,22/9)
(25/32,2673/1024)
(4/5,66/25)
(17/20,1089/400)
(1423/1600,7144929/2560000)
(1,3)
(8/7,162/49)
(7/6,121/36)
(166/125,58806/15625)
(7/5,99/25)
(10/7,198/49)
(13/8,297/64)
(12/7,242/49)
(7/4,81/16)
(2,6)
(106/49,16038/2401)
(23/10,729/100)
(5/2,33/4)
(64/25,5346/625)
(1169/450,1771561/202500)
(3,11)
(59/16,3993/256)
(31/8,1089/64)
(4,18)
(767/175,649539/30625)
(1153/245,1449459/60025)
(5,27)
(26/5,726/25)
(50/9,2662/81)
(29/5,891/25)
(97/14,9801/196)
(8,66)
(17/2,297/4)
(241/22,59049/484)
(89/7,8019/49)
(14,198)
(109/7,11979/49)
(19,363)
(22,486)
(155/4,24057/16)
(268/5,71874/25)
(9799/140,96059601/19600)
(695/8,483153/64)
(140,19602)
#
# b = 3:
#
(0,3)
(1/4,49/16)
(1/3,28/9)
(23/55,9604/3025)
(3/5,84/25)
(143/180,117649/32400)
(1,4)
(10/9,343/81)
(15/11,588/121)
(3/2,21/4)
(2,7)
(11/5,196/25)
(27/10,1029/100)
(3,12)
(13/3,196/9)
(5,28)
(47/8,2401/64)
(9,84)
(12,147)
(447/25,201684/625)
(37,1372)
#
# b = 4:
#
(0,4)
(2/7,200/49)
(4/11,500/121)
(7/12,625/144)
(2/3,40/9)
(1,5)
(3/2,25/4)
(2,8)
(8/3,100/9)
(26/9,1000/81)
(527/168,390625/28224)
(4,20)
(117/22,15625/484)
(6,40)
(48/7,2500/49)
(11,125)
(14,200)
(158/3,25000/9)
#
# b = 5:
#
(0,5)
(5/32,5145/1024)
(1/5,126/25)
(1/4,81/16)
(5/11,630/121)
(1/2,21/4)
(2/3,49/9)
(5/7,270/49)
(61/80,35721/6400)
(239/308,531441/94864)
(9/11,686/121)
(1,6)
(53/50,15309/2500)
(199/176,194481/30976)
(5/4,105/16)
(11/8,441/64)
(35/22,3645/484)
(8/5,189/25)
(5/3,70/9)
(227/125,129654/15625)
(2,9)
(23/11,1134/121)
(23/10,1029/100)
(5/2,45/4)
(13/5,294/25)
(262/99,117649/9801)
(3,14)
(25/8,945/64)
(22/7,729/49)
(41/12,2401/144)
(40/11,2205/121)
(19/5,486/25)
(4,21)
(19/4,441/16)
(5,30)
(277/55,91854/3025)
(58/11,3969/121)
(85/16,8505/256)
(55/9,3430/81)
(13/2,189/4)
(7,54)
(15/2,245/4)
(229/25,55566/625)
(79/8,6561/64)
(10,105)
(11,126)
(62/5,3969/25)
(325/22,108045/484)
(1019/64,1058841/4096)
(2015/121,4133430/14641)
(17,294)
(11471/605,133413966/366025)
(20,405)
(41/2,1701/4)
(25,630)
(32,1029)
(183/5,33614/25)
(215/4,46305/16)
(101,10206)
(115,13230)
(830,688905)
#
# b = 6:
#
(0,6)
(1/27,4375/729)
(1/20,2401/400)
(139/1728,17935225/2985984)
(1/8,385/64)
(19/112,75625/12544)
(4/21,2662/441)
(2/9,490/81)
(3/11,735/121)
(39/128,99825/16384)
(1/3,55/9)
(2/5,154/25)
(149/352,765625/123904)
(1/2,25/4)
(9/16,1617/256)
(589/972,6015625/944784)
(37/54,18865/2916)
(3/4,105/16)
(23/30,5929/900)
(6/7,330/49)
(8/9,550/81)
(114/121,100842/14641)
(1,7)
(67/66,30625/4356)
(43/36,9625/1296)
(5/4,121/16)
(9/7,375/49)
(4/3,70/9)
(334/243,465850/59049)
(116/81,52822/6561)
(71/48,18865/2304)
(3/2,33/4)
(19/12,1225/144)
(18/11,1050/121)
(71/42,15625/1764)
(71/40,14641/1600)
(9/5,231/25)
(59/32,9625/1024)
(2,10)
(33/16,2625/256)
(19/9,847/81)
(13/6,385/36)
(16/7,550/49)
(64/27,8470/729)
(12/5,294/25)
(5/2,49/4)
(81/32,12705/1024)
(634/243,756250/59049)
(21/8,825/64)
(32/11,1750/121)
(211/72,75625/5184)
(3,15)
(43/14,3025/196)
(10/3,154/9)
(87/25,11319/625)
(29/8,1225/64)
(11/3,175/9)
(181/48,46585/2304)
(4,22)
(5576/1323,41593750/1750329)
(17/4,385/16)
(9/2,105/4)
(14/3,250/9)
(52/11,3430/121)
(611/128,471625/16384)
(24/5,726/25)
(122/25,18634/625)
(485/96,290521/9216)
(47/9,2695/81)
(197/36,46585/1296)
(39/7,1815/49)
(17/3,343/9)
(23/4,625/16)
(6,42)
(58/9,3850/81)
(27/4,825/16)
(7,55)
(73/10,5929/100)
(477/64,252105/4096)
(11321/1458,140919625/2125764)
(8,70)
(93/11,9375/121)
(69/8,5145/64)
(53/6,3025/36)
(438/49,206250/2401)
(453/49,219615/2401)
(251/27,67375/729)
(2776/297,8235430/88209)
(19/2,385/4)
(39/4,1617/16)
(32/3,1078/9)
(239/22,60025/484)
(34/3,1210/9)
(12,150)
(13,175)
(598/45,369754/2025)
(241/18,60025/324)
(111/8,12705/64)
(15,231)
(993/64,1010625/4096)
(1315/84,1771561/7056)
(97/6,9625/36)
(2052/125,4304454/15625)
(116/7,13750/49)
(86/5,7546/25)
(18,330)
(487/24,240625/576)
(22,490)
(208/9,43750/81)
(383/16,148225/256)
(51/2,2625/4)
(27,735)
(29,847)
(63/2,3993/4)
(292/9,85750/81)
(137/4,18865/16)
(37,1375)
(382/9,146410/81)
(717/16,515625/256)
(48,2310)
(164/3,26950/9)
(2399/40,5764801/1600)
(62,3850)
(961/12,924385/144)
(4373/54,19140625/2916)
(92,8470)
(201/2,40425/4)
(120,14406)
(1079/8,1164625/64)
(11203/81,125546575/6561)
(162,26250)
(571/3,326095/9)
(213,45375)
(14188/49,201313750/2401)
(1839/5,3382071/25)
(789/2,622545/4)
(463,214375)
(148978/81,22194483850/6561)
#
# b = 7:
#
(0,7)
(7/75,39424/5625)
(1/5,176/25)
(1/3,64/9)
(3/7,352/49)
(7/11,896/121)
(3/4,121/16)
(7/9,616/81)
(141/175,234256/30625)
(23/27,5632/729)
(1,8)
(47/45,16384/2025)
(91/81,54208/6561)
(19/15,1936/225)
(67/49,21296/2401)
(7/5,224/25)
(5/3,88/9)
(9/5,256/25)
(13/7,512/49)
(49/25,6776/625)
(2,11)
(623/275,917504/75625)
(7/3,112/9)
(19/7,704/49)
(3,16)
(413/135,298144/18225)
(29/9,1408/81)
(83/25,11264/625)
(7/2,77/4)
(25/7,968/49)
(481/125,340736/15625)
(35/9,1792/81)
(37/9,1936/81)
(21/5,616/25)
(103/24,14641/576)
(23/5,704/25)
(2099/441,5767168/194481)
(5,32)
(57/11,4096/121)
(1019/189,1288408/35721)
(191/35,45056/1225)
(17/3,352/9)
(91/15,9856/225)
(34/5,1331/25)
(7,56)
(167/21,30976/441)
(9,88)
(28/3,847/9)
(31/3,1024/9)
(11,128)
(13,176)
(295/21,90112/441)
(49/3,2464/9)
(87/5,7744/25)
(409/21,170368/441)
(21,448)
(205/9,42592/81)
(119/5,14336/25)
(791/27,630784/729)
(31,968)
(35,1232)
(2809/75,7929856/5625)
(53,2816)
(329/5,108416/25)
(75,5632)
(931/9,867328/81)
(181,32768)
(273,74536)
#
# b = 8:
#
(0,8)
(1/35,9801/1225)
(2/11,972/121)
(2/7,396/49)
(1/2,33/4)
(23/42,14641/1764)
(17/28,6561/784)
(18/25,5324/625)
(4/5,216/25)
(1,9)
(4/3,88/9)
(25/16,2673/256)
(8/5,264/25)
(17/10,1089/100)
(1423/800,7144929/640000)
(2,12)
(16/7,648/49)
(7/3,121/9)
(332/125,235224/15625)
(14/5,396/25)
(20/7,792/49)
(13/4,297/16)
(24/7,968/49)
(7/2,81/4)
(4,24)
(212/49,64152/2401)
(23/5,729/25)
(5,33)
(128/25,21384/625)
(1169/225,1771561/50625)
(6,44)
(59/8,3993/64)
(31/4,1089/16)
(8,72)
(1534/175,2598156/30625)
(2306/245,5797836/60025)
(10,108)
(52/5,2904/25)
(100/9,10648/81)
(58/5,3564/25)
(97/7,9801/49)
(16,264)
(17,297)
(241/11,59049/121)
(178/7,32076/49)
(28,792)
(218/7,47916/49)
(38,1452)
(44,1944)
(155/2,24057/4)
(536/5,287496/25)
(9799/70,96059601/4900)
(695/4,483153/16)
(280,78408)
#
# b = 9:
#
(0,9)
(3/7,450/49)
(6/11,1125/121)
(7/8,625/64)
(1,10)
(3/2,45/4)
(9/4,225/16)
(3,18)
(4,25)
(13/3,250/9)
(527/112,390625/12544)
(6,45)
(351/44,140625/1936)
(9,90)
(72/7,5625/49)
(33/2,1125/4)
(21,450)
(79,6250)
#
# b = 10:
#
(0,10)
(13/24,5929/576)
(16/27,7546/729)
(5/6,385/36)
(1,11)
(58/55,33614/3025)
(41/36,14641/1296)
(75/64,46585/4096)
(36/25,7546/625)
(3/2,49/4)
(2,14)
(20/9,1210/81)
(31/12,2401/144)
(8/3,154/9)
(2477/900,14235529/810000)
(17/5,539/25)
(7067/1920,86806489/3686400)
(15/4,385/16)
(29/7,1331/49)
(9/2,121/4)
(5,35)
(67/12,5929/144)
(20/3,490/9)
(125/18,18865/324)
(38/5,1694/25)
(3517/432,14235529/186624)
(128/15,18634/225)
(10,110)
(12,154)
(135/8,18865/64)
(23,539)
(26,686)
(215/6,46585/36)
(65,4235)
(401/5,161051/25)
(608/3,369754/9)
#
# b = 11:
#
(0,11)
(1/7,540/49)
(1/3,100/9)
(1/2,45/4)
(5/8,729/64)
(33/49,27500/2401)
(1,12)
(37/36,15625/1296)
(13/11,1500/121)
(121/98,120285/9604)
(11/8,825/64)
(7/5,324/25)
(17/11,1620/121)
(11/7,660/49)
(7/4,225/16)
(2,15)
(11/5,396/25)
(127/56,50625/3136)
(22/9,1375/81)
(19/7,900/49)
(11/4,297/16)
(3,20)
(113/35,26244/1225)
(53/16,5625/256)
(37/11,2700/121)
(11/3,220/9)
(26/7,1215/49)
(8273/2156,119574225/4648336)
(4,27)
(31/7,1500/49)
(9/2,125/4)
(5,36)
(649/128,601425/16384)
(11/2,165/4)
(44/7,2475/49)
(151/22,28125/484)
(7,60)
(1151/147,1562500/21609)
(55/7,3564/49)
(8,75)
(679/80,531441/6400)
(98/11,10935/121)
(19/2,405/4)
(8249/847,75937500/717409)
(43/4,2025/16)
(11,132)
(13,180)
(187/14,37125/196)
(94/7,9375/49)
(253/16,66825/256)
(49/3,2500/9)
(17,300)
(88/5,8019/25)
(1033/49,1093500/2401)
(22,495)
(23,540)
(31,972)
(33,1100)
(388/11,151875/121)
(143/4,20625/16)
(269/7,72900/49)
(58,3375)
(67,4500)
(77,5940)
(181/2,32805/4)
(433,187500)
(517,267300)
(18656/7,348046875/49)
#
# b = 12:
#
(0,12)
(1/2,49/4)
(2/3,112/9)
(46/55,38416/3025)
(6/5,336/25)
(143/90,117649/8100)
(2,16)
(20/9,1372/81)
(30/11,2352/121)
(3,21)
(4,28)
(22/5,784/25)
(27/5,1029/25)
(6,48)
(26/3,784/9)
(10,112)
(47/4,2401/16)
(18,336)
(24,588)
(894/25,806736/625)
(74,5488)