# 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| <= 35, and
# S is the set of the first 4 primes.
# It contains 2390 pairs in total.
# Format: "(x,y)".
# Computing this list took 2783 seconds.
# Authors: Rafael von Känel and Benjamin Matschke, 2015.
# License: Creative commons 3.0 by-nc.
#
# b = -35:
#
(0,-35)
(5,-10)
(35/6,-35/36)
(71/12,1/144)
(6,1)
(7,14)
#
# b = -34:
#
(1/2,-135/4)
(2,-30)
(11/5,-729/25)
(3,-25)
(13/4,-375/16)
(31/8,-1215/64)
(4,-18)
(73/16,-3375/256)
(5,-9)
(16/3,-50/9)
(11/2,-15/4)
(23/4,-15/16)
(739/128,-10935/16384)
(52/9,-50/81)
(29/5,-9/25)
(373/64,-135/4096)
(2449/420,1/176400)
(35/6,1/36)
(286/49,162/2401)
(4577/784,50625/614656)
(1169/200,6561/40000)
(281/48,625/2304)
(41/7,15/49)
(2021/343,84375/117649)
(59/10,81/100)
(83/14,225/196)
(6,2)
(2291/378,390625/142884)
(49/8,225/64)
(25/4,81/16)
(44/7,270/49)
(2881/448,1476225/200704)
(46/7,450/49)
(16363/2401,71744535/5764801)
(7,15)
(43/6,625/36)
(54/7,1250/49)
(8,30)
(115/14,6561/196)
(64/7,2430/49)
(19/2,225/4)
(71/7,3375/49)
(13,135)
(14,162)
(409/28,140625/784)
(22,450)
(179/7,30375/49)
(28,750)
(137/4,18225/16)
(2878/49,8201250/2401)
(97,9375)
(148,21870)
#
# b = -33:
#
(1,-32)
(9/7,-1536/49)
(25/9,-2048/81)
(3,-24)
(21/5,-384/25)
(13/3,-128/9)
(5,-8)
(27/5,-96/25)
(39/7,-96/49)
(17/3,-8/9)
(993/175,-24576/30625)
(717/125,-1536/15625)
(155/27,-32/729)
(201/35,-24/1225)
(23/4,1/16)
(259/45,256/2025)
(29/5,16/25)
(41/7,64/49)
(6,3)
(211/35,4096/1225)
(19/3,64/9)
(7,16)
(1649/225,1048576/50625)
(43/5,1024/25)
(9,48)
(283/21,65536/441)
(15,192)
(17,256)
(111,12288)
#
# b = -32:
#
(0,-32)
(4/5,-784/25)
(2,-28)
(8/3,-224/9)
(13/4,-343/16)
(32/9,-1568/81)
(4,-16)
(24/5,-224/25)
(5,-7)
(232/45,-10976/2025)
(16/3,-32/9)
(11/2,-7/4)
(28/5,-16/25)
(152/27,-224/729)
(424/75,-224/5625)
(181/32,-7/1024)
(198/35,4/1225)
(17/3,1/9)
(57/10,49/100)
(40/7,32/49)
(86/15,196/225)
(52/9,112/81)
(6,4)
(113/18,2401/324)
(32/5,224/25)
(20/3,112/9)
(176/25,10976/625)
(22/3,196/9)
(8,32)
(692/81,268912/6561)
(9,49)
(12,112)
(16,224)
(102/5,9604/25)
(76/3,5488/9)
(40,1568)
#
# b = -31:
#
(1/14,-6075/196)
(1,-30)
(37/32,-30375/1024)
(13/7,-1350/49)
(2,-27)
(169/64,-98415/4096)
(11/4,-375/16)
(166/49,-46875/2401)
(17/5,-486/25)
(7/2,-75/4)
(4,-15)
(523/128,-234375/16384)
(19/4,-135/16)
(5,-6)
(493/98,-54675/9604)
(37/7,-150/49)
(43/8,-135/64)
(38/7,-75/49)
(11/2,-3/4)
(139/25,-54/625)
(89/16,-15/256)
(1559/280,81/78400)
(451/81,10/6561)
(3119/560,6561/313600)
(39/7,2/49)
(67/12,25/144)
(28/5,9/25)
(5647/1008,390625/1016064)
(17/3,10/9)
(40/7,81/49)
(41/7,162/49)
(47/8,225/64)
(6,5)
(1721/280,531441/78400)
(173/28,5625/784)
(56/9,625/81)
(13/2,45/4)
(7,18)
(23/3,250/9)
(35/4,729/16)
(287/32,50625/1024)
(9,50)
(11,90)
(23/2,405/4)
(16,225)
(113/7,11250/49)
(121/7,13122/49)
(57/2,3125/4)
(29,810)
(34,1125)
(191,36450)
(6077/28,36905625/784)
(1591,2531250)
#
# b = -30:
#
(0,-30)
(8/5,-686/25)
(5/3,-245/9)
(3,-21)
(4,-14)
(404/81,-33614/6561)
(5,-5)
(16/3,-14/9)
(27/5,-21/25)
(115/21,-5/441)
(493/90,49/8100)
(263/48,49/2304)
(11/2,1/4)
(138/25,294/625)
(50/9,70/81)
(45/8,105/64)
(23/4,49/16)
(6,6)
(13/2,49/4)
(15/2,105/4)
(59/6,2401/36)
(10,70)
(407/40,117649/1600)
(18,294)
(75/4,5145/16)
(410,168070)
#
# b = -29:
#
(23/54,-84035/2916)
(17/21,-12500/441)
(1,-28)
(4/3,-245/9)
(97/64,-109375/4096)
(137/81,-171500/6561)
(2,-25)
(13/6,-875/36)
(11/4,-343/16)
(3,-20)
(11/3,-140/9)
(37/9,-980/81)
(17/4,-175/16)
(9/2,-35/4)
(23/5,-196/25)
(43/9,-500/81)
(5,-4)
(41/8,-175/64)
(36/7,-125/49)
(26/5,-49/25)
(47/9,-140/81)
(677/128,-16807/16384)
(16/3,-5/9)
(1304/243,-12005/59049)
(43/8,-7/64)
(113/21,-20/441)
(673/125,-196/15625)
(16624/3087,-125/9529569)
(727/135,4/18225)
(517/96,25/9216)
(2717/504,15625/254016)
(437/81,700/6561)
(27/5,4/25)
(146/27,175/729)
(65/12,49/144)
(197/36,1225/1296)
(11/2,5/4)
(39/7,100/49)
(17/3,28/9)
(93/16,1225/256)
(6,7)
(19/3,100/9)
(61/9,1372/81)
(7,20)
(8,35)
(33/4,625/16)
(127/15,9604/225)
(82/9,4375/81)
(19/2,245/4)
(31/3,700/9)
(277/24,60025/576)
(13,140)
(379/27,122500/729)
(15,196)
(23,500)
(27,700)
(94/3,8575/9)
(79/2,6125/4)
(83,6860)
(148,21875)
#
# b = -28:
#
(0,-28)
(2/25,-17496/625)
(1,-27)
(2,-24)
(14/5,-504/25)
(20/7,-972/49)
(7/2,-63/4)
(4,-12)
(35/8,-567/64)
(22/5,-216/25)
(14/3,-56/9)
(34/7,-216/49)
(5,-3)
(26/5,-24/25)
(21/4,-7/16)
(658/125,-4536/15625)
(37/7,-3/49)
(238/45,-56/2025)
(926/175,-24/30625)
(127/24,1/576)
(53/10,9/100)
(133/25,189/625)
(16/3,4/9)
(431/80,6561/6400)
(38/7,72/49)
(11/2,9/4)
(28/5,84/25)
(23/4,81/16)
(6,8)
(443/70,59049/4900)
(32/5,324/25)
(7,21)
(346/49,52488/2401)
(8,36)
(49/5,1701/25)
(10,72)
(14,168)
(29/2,729/4)
(26,648)
(28,756)
(4376/25,19131876/625)
(350,122472)
#
# b = -27:
#
(0,-27)
(3,-18)
(9/2,-27/4)
(5,-2)
(36/7,-27/49)
(291/56,9/3136)
(26/5,1/25)
(21/4,9/16)
(27/5,54/25)
(6,9)
(9,54)
#
# b = -26:
#
(1,-25)
(4,-10)
(32/7,-250/49)
(5,-1)
(51/10,1/100)
(857/168,625/28224)
(46/9,10/81)
(1149/224,15625/50176)
(31/6,25/36)
(21/4,25/16)
(6,10)
(22/3,250/9)
(833/108,390625/11664)
(27/2,625/4)
#
# b = -25:
#
(0,-25)
(5/49,-60000/2401)
(1/3,-224/9)
(5/9,-2000/81)
(5/8,-1575/64)
(5/7,-1200/49)
(5/6,-875/36)
(1,-24)
(85/81,-156800/6561)
(5/4,-375/16)
(7/5,-576/25)
(10/7,-1125/49)
(305/189,-800000/35721)
(5/3,-200/9)
(235/128,-354375/16384)
(155/81,-140000/6561)
(2,-21)
(715/343,-2430000/117649)
(15/7,-1000/49)
(11/5,-504/25)
(65/27,-14000/729)
(5/2,-75/4)
(55/21,-8000/441)
(85/32,-18375/1024)
(19/7,-864/49)
(25/9,-1400/81)
(45/16,-4375/256)
(71/25,-10584/625)
(3,-16)
(155/49,-36000/2401)
(10/3,-125/9)
(17/5,-336/25)
(55/16,-3375/256)
(25/7,-600/49)
(15/4,-175/16)
(35/9,-800/81)
(55/14,-1875/196)
(4,-9)
(110/27,-6125/729)
(29/7,-384/49)
(311/75,-43904/5625)
(205/49,-18000/2401)
(527/125,-112896/15625)
(115/27,-5000/729)
(13/3,-56/9)
(35/8,-375/64)
(121/27,-3584/729)
(95/21,-2000/441)
(23/5,-96/25)
(65/14,-675/196)
(118/25,-1701/625)
(85/18,-875/324)
(305/64,-9375/4096)
(235/49,-4800/2401)
(24/5,-49/25)
(155/32,-1575/1024)
(395/81,-8000/6561)
(241/49,-1944/2401)
(310/63,-3125/3969)
(5095/1029,-512000/1058841)
(223/45,-896/2025)
(11995/2401,-240000/5764801)
(4373/875,-17496/765625)
(10940/2187,109375/4782969)
(1201/240,2401/57600)
(565/112,5625/12544)
(2585/512,128625/262144)
(127/25,504/625)
(1235/243,49000/59049)
(41/8,81/64)
(325/63,6400/3969)
(255/49,5000/2401)
(125/24,1225/576)
(131/25,1536/625)
(37/7,144/49)
(1285/243,175000/59049)
(145/27,2800/729)
(65/12,625/144)
(11/2,21/4)
(355/64,23625/4096)
(17/3,64/9)
(40/7,375/49)
(29/5,216/25)
(1685/288,765625/82944)
(53/9,784/81)
(2035/343,1200000/117649)
(95/16,2625/256)
(295/49,27000/2401)
(55/9,1000/81)
(31/5,336/25)
(25/4,225/16)
(45/7,800/49)
(20/3,175/9)
(185/27,16000/729)
(145/21,10000/441)
(7,24)
(29/4,441/16)
(15/2,125/4)
(380/49,84375/2401)
(39/5,896/25)
(55/7,1800/49)
(215/27,28000/729)
(395/49,96000/2401)
(65/8,2625/64)
(25/3,400/9)
(17/2,189/4)
(80/9,4375/81)
(9,56)
(2215/243,3430000/59049)
(65/7,3000/49)
(265/28,50625/784)
(337/35,82944/1225)
(10,75)
(253/25,48384/625)
(95/9,7000/81)
(85/8,5625/64)
(11,96)
(565/49,259200/2401)
(35/3,1000/9)
(85/7,6000/49)
(25/2,525/4)
(115/9,11200/81)
(13,144)
(55/4,2625/16)
(73/5,4704/25)
(15,200)
(185/12,30625/144)
(115/7,12000/49)
(35/2,1125/4)
(125/7,14400/49)
(55/3,2800/9)
(19,336)
(20,375)
(325/16,99225/256)
(65/3,4000/9)
(205/9,40000/81)
(23,504)
(785/32,590625/1024)
(25,600)
(2155/81,4480000/6561)
(137/5,18144/25)
(85/3,7000/9)
(293/10,83349/100)
(30,875)
(215/7,45000/49)
(235/7,54000/49)
(35,1200)
(37,1344)
(113/3,12544/9)
(155/4,23625/16)
(40,1575)
(285/7,80000/49)
(1115/27,1225000/729)
(45,2000)
(445/9,196000/81)
(55,3000)
(115/2,13125/4)
(59,3456)
(65,4200)
(75,5600)
(85,7200)
(265/3,70000/9)
(95,9000)
(103,10584)
(335/3,112000/9)
(1795/16,3215625/256)
(235/2,55125/4)
(6005/49,36000000/2401)
(130,16875)
(145,21000)
(155,24000)
(1315/7,1728000/49)
(205,42000)
(245,60000)
(275,75600)
(2465/7,6075000/49)
(355,126000)
(1265/3,1600000/9)
(485,235200)
(495,245000)
(635,403200)
(805,648000)
(1220,1488375)
(1255,1575000)
(2053,4214784)
(2245,5040000)
(24005,576240000)
(43745,1913625000)
#
# b = -24:
#
(0,-24)
(3/4,-375/16)
(4/3,-200/9)
(2,-20)
(3,-15)
(454/147,-312500/21609)
(24/7,-600/49)
(26/7,-500/49)
(4,-8)
(38/9,-500/81)
(9/2,-15/4)
(14/3,-20/9)
(24/5,-24/25)
(34/7,-20/49)
(39/8,-15/64)
(44/9,-8/81)
(240/49,-24/2401)
(4801/980,1/960400)
(49/10,1/100)
(103/21,25/441)
(59/12,25/144)
(5,1)
(136/27,1000/729)
(36/7,120/49)
(73/14,625/196)
(16/3,40/9)
(11/2,25/4)
(6,12)
(7,25)
(8,40)
(29/3,625/9)
(12,120)
(131/8,15625/64)
(18,300)
(32,1000)
(276/7,75000/49)
#
# b = -23:
#
(117/25,-686/625)
(235/49,2/2401)
#
# b = -22:
#
(67/25,-9261/625)
(164/35,-54/1225)
#
# b = -21:
#
(0,-21)
(1,-20)
(3/2,-75/4)
(53/27,-12500/729)
(7/3,-140/9)
(8/3,-125/9)
(3,-12)
(23/7,-500/49)
(7/2,-35/4)
(27/7,-300/49)
(4,-5)
(21/5,-84/25)
(77/18,-875/324)
(13/3,-20/9)
(9/2,-3/4)
(41/9,-20/81)
(447/98,-1875/9604)
(32/7,-5/49)
(371/81,-140/6561)
(2053/448,25/200704)
(55/12,1/144)
(147/32,105/1024)
(23/5,4/25)
(37/8,25/64)
(293/63,2500/3969)
(14/3,7/9)
(33/7,60/49)
(19/4,25/16)
(5,4)
(21/4,105/16)
(253/48,15625/2304)
(49/9,700/81)
(17/3,100/9)
(6,15)
(7,28)
(31/4,625/16)
(63/8,2625/64)
(9,60)
(11,100)
(14,175)
(102/7,9375/49)
(21,420)
(39,1500)
(133/3,17500/9)
(1281/4,1640625/16)
#
# b = -20:
#
(0,-20)
(2,-16)
(10/3,-80/9)
(4,-4)
(30/7,-80/49)
(22/5,-16/25)
(40/9,-20/81)
(161/36,1/1296)
(94/21,16/441)
(9/2,1/4)
(14/3,16/9)
(5,5)
(6,16)
(10,80)
#
# b = -19:
#
#
# b = -18:
#
(0,-18)
(3/5,-441/25)
(3/2,-63/4)
(2,-14)
(39/16,-3087/256)
(8/3,-98/9)
(3,-9)
(18/5,-126/25)
(15/4,-63/16)
(58/15,-686/225)
(4,-2)
(33/8,-63/64)
(21/5,-9/25)
(38/9,-14/81)
(106/25,-14/625)
(543/128,-63/16384)
(297/70,9/4900)
(17/4,1/16)
(171/40,441/1600)
(30/7,18/49)
(43/10,49/100)
(13/3,7/9)
(9/2,9/4)
(113/24,2401/576)
(24/5,126/25)
(5,7)
(132/25,6174/625)
(11/2,49/4)
(6,18)
(173/27,16807/729)
(27/4,441/16)
(9,63)
(12,126)
(153/10,21609/100)
(19,343)
(30,882)
#
# b = -17:
#
(59/125,-262144/15625)
(1,-16)
(5/3,-128/9)
(13/5,-256/25)
(3,-8)
(11/3,-32/9)
(19/5,-64/25)
(4,-1)
(109/27,-512/729)
(37/9,-8/81)
(103/25,-16/625)
(433/105,64/11025)
(33/8,1/64)
(29/7,8/49)
(21/5,16/25)
(1889/441,262144/194481)
(13/3,16/9)
(31/7,128/49)
(33/7,256/49)
(5,8)
(49/9,1024/81)
(89/15,4096/225)
(7,32)
(9,64)
(95/7,8192/49)
(23,512)
#
# b = -16:
#
(0,-16)
(4/49,-38400/2401)
(4/15,-3584/225)
(4/9,-1280/81)
(1/2,-63/4)
(4/7,-768/49)
(2/3,-140/9)
(4/5,-384/25)
(68/81,-100352/6561)
(1,-15)
(28/25,-9216/625)
(8/7,-720/49)
(244/189,-512000/35721)
(4/3,-128/9)
(47/32,-14175/1024)
(124/81,-89600/6561)
(8/5,-336/25)
(572/343,-1555200/117649)
(12/7,-640/49)
(44/25,-8064/625)
(52/27,-8960/729)
(2,-12)
(44/21,-5120/441)
(17/8,-735/64)
(76/35,-13824/1225)
(20/9,-896/81)
(9/4,-175/16)
(284/125,-169344/15625)
(12/5,-256/25)
(124/49,-23040/2401)
(8/3,-80/9)
(68/25,-5376/625)
(11/4,-135/16)
(20/7,-384/49)
(3,-7)
(28/9,-512/81)
(22/7,-300/49)
(16/5,-144/25)
(88/27,-3920/729)
(116/35,-6144/1225)
(1244/375,-702464/140625)
(164/49,-11520/2401)
(2108/625,-1806336/390625)
(92/27,-3200/729)
(52/15,-896/225)
(7/2,-15/4)
(484/135,-57344/18225)
(76/21,-1280/441)
(92/25,-1536/625)
(26/7,-108/49)
(472/125,-27216/15625)
(34/9,-140/81)
(61/16,-375/256)
(188/49,-3072/2401)
(96/25,-784/625)
(31/8,-63/64)
(316/81,-5120/6561)
(964/245,-31104/60025)
(248/63,-2000/3969)
(4076/1029,-327680/1058841)
(892/225,-14336/50625)
(9596/2401,-153600/5764801)
(17492/4375,-279936/19140625)
(8752/2187,70000/4782969)
(1201/300,2401/90000)
(113/28,225/784)
(517/128,5145/16384)
(508/125,8064/15625)
(988/243,31360/59049)
(41/10,81/100)
(260/63,4096/3969)
(204/49,3200/2401)
(25/6,49/36)
(524/125,24576/15625)
(148/35,2304/1225)
(1028/243,112000/59049)
(116/27,1792/729)
(13/3,25/9)
(22/5,84/25)
(71/16,945/256)
(68/15,1024/225)
(32/7,240/49)
(116/25,3456/625)
(337/72,30625/5184)
(212/45,12544/2025)
(1628/343,768000/117649)
(19/4,105/16)
(236/49,17280/2401)
(44/9,640/81)
(124/25,5376/625)
(5,9)
(36/7,512/49)
(16/3,112/9)
(148/27,10240/729)
(116/21,6400/441)
(28/5,384/25)
(29/5,441/25)
(6,20)
(304/49,54000/2401)
(156/25,14336/625)
(44/7,1152/49)
(172/27,17920/729)
(316/49,61440/2401)
(13/2,105/4)
(20/3,256/9)
(34/5,756/25)
(64/9,2800/81)
(36/5,896/25)
(1772/243,2195200/59049)
(52/7,1920/49)
(53/7,2025/49)
(1348/175,1327104/30625)
(8,48)
(1012/125,774144/15625)
(76/9,4480/81)
(17/2,225/4)
(44/5,1536/25)
(452/49,165888/2401)
(28/3,640/9)
(68/7,3840/49)
(10,84)
(92/9,7168/81)
(52/5,2304/25)
(11,105)
(292/25,75264/625)
(12,128)
(37/3,1225/9)
(92/7,7680/49)
(14,180)
(100/7,9216/49)
(44/3,1792/9)
(76/5,5376/25)
(16,240)
(65/4,3969/16)
(52/3,2560/9)
(164/9,25600/81)
(92/5,8064/25)
(157/8,23625/64)
(20,384)
(1724/81,2867200/6561)
(548/25,290304/625)
(68/3,4480/9)
(586/25,333396/625)
(24,560)
(172/7,28800/49)
(188/7,34560/49)
(28,768)
(148/5,21504/25)
(452/15,200704/225)
(31,945)
(32,1008)
(228/7,51200/49)
(892/27,784000/729)
(36,1280)
(356/9,125440/81)
(44,1920)
(46,2100)
(236/5,55296/25)
(52,2688)
(60,3584)
(68,4608)
(212/3,44800/9)
(76,5760)
(412/5,169344/25)
(268/3,71680/9)
(359/4,128625/16)
(94,8820)
(4804/49,23040000/2401)
(104,10800)
(116,13440)
(124,15360)
(1052/7,1105920/49)
(164,26880)
(196,38400)
(220,48384)
(1972/7,3888000/49)
(284,80640)
(1012/3,1024000/9)
(388,150528)
(396,156800)
(508,258048)
(644,414720)
(976,952560)
(1004,1008000)
(8212/5,67436544/25)
(1796,3225600)
(19204,368793600)
(34996,1224720000)
#
# b = -15:
#
(0,-15)
(1,-14)
(9/5,-294/25)
(15/8,-735/64)
(5/2,-35/4)
(23/9,-686/81)
(3,-6)
(10/3,-35/9)
(11/3,-14/9)
(15/4,-15/16)
(205/54,-1715/2916)
(19/5,-14/25)
(27/7,-6/49)
(495/128,-735/16384)
(14117/3645,-686/13286025)
(244/63,1/3969)
(31/8,1/64)
(35/9,10/81)
(39/10,21/100)
(47/12,49/144)
(4,1)
(102/25,1029/625)
(17/4,49/16)
(9/2,21/4)
(79/16,2401/256)
(5,10)
(76/15,2401/225)
(6,21)
(8,49)
(25/3,490/9)
(15,210)
(33/2,1029/4)
(155,24010)
#
# b = -14:
#
(0,-14)
#
# b = -13:
#
(1/5,-324/25)
(1,-12)
(19/14,-2187/196)
(2,-9)
(5/2,-27/4)
(3,-4)
(23/7,-108/49)
(17/5,-36/25)
(86/25,-729/625)
(7/2,-3/4)
(25/7,-12/49)
(18/5,-1/25)
(353/98,-243/9604)
(649/180,1/32400)
(631/175,36/30625)
(101/28,9/784)
(29/8,9/64)
(11/3,4/9)
(19/5,36/25)
(77/20,729/400)
(4,3)
(17/4,81/16)
(31/7,324/49)
(5,12)
(7,36)
(269/32,59049/1024)
(11,108)
(16,243)
(163/5,26244/25)
#
# b = -12:
#
(0,-12)
(2,-8)
(3,-3)
(10/3,-8/9)
(24/7,-12/49)
(97/28,1/784)
(52/15,4/225)
(7/2,1/4)
(18/5,24/25)
(4,4)
(6,24)
#
# b = -11:
#
(17/7,-250/49)
#
# b = -10:
#
(0,-10)
#
# b = -9:
#
(0,-9)
(3/49,-21600/2401)
(1/5,-224/25)
(1/3,-80/9)
(3/8,-567/64)
(3/7,-432/49)
(1/2,-35/4)
(3/5,-216/25)
(17/27,-6272/729)
(3/4,-135/16)
(21/25,-5184/625)
(6/7,-405/49)
(61/63,-32000/3969)
(1,-8)
(141/128,-127575/16384)
(31/27,-5600/729)
(6/5,-189/25)
(429/343,-874800/117649)
(9/7,-360/49)
(33/25,-4536/625)
(13/9,-560/81)
(3/2,-27/4)
(11/7,-320/49)
(51/32,-6615/1024)
(57/35,-7776/1225)
(5/3,-56/9)
(27/16,-1575/256)
(213/125,-95256/15625)
(9/5,-144/25)
(93/49,-12960/2401)
(2,-5)
(51/25,-3024/625)
(33/16,-1215/256)
(15/7,-216/49)
(9/4,-63/16)
(7/3,-32/9)
(33/14,-675/196)
(12/5,-81/25)
(22/9,-245/81)
(87/35,-3456/1225)
(311/125,-43904/15625)
(123/49,-6480/2401)
(1581/625,-1016064/390625)
(23/9,-200/81)
(13/5,-56/25)
(21/8,-135/64)
(121/45,-3584/2025)
(19/7,-80/49)
(69/25,-864/625)
(39/14,-243/196)
(354/125,-15309/15625)
(17/6,-35/36)
(183/64,-3375/4096)
(141/49,-1728/2401)
(72/25,-441/625)
(93/32,-567/1024)
(79/27,-320/729)
(723/245,-17496/60025)
(62/21,-125/441)
(1019/343,-20480/117649)
(223/75,-896/5625)
(7197/2401,-86400/5764801)
(13119/4375,-157464/19140625)
(2188/729,4375/531441)
(1201/400,2401/160000)
(339/112,2025/12544)
(1551/512,46305/262144)
(381/125,4536/15625)
(247/81,1960/6561)
(123/40,729/1600)
(65/21,256/441)
(153/49,1800/2401)
(25/8,49/64)
(393/125,13824/15625)
(111/35,1296/1225)
(257/81,7000/6561)
(29/9,112/81)
(13/4,25/16)
(33/10,189/100)
(213/64,8505/4096)
(17/5,64/25)
(24/7,135/49)
(87/25,1944/625)
(337/96,30625/9216)
(53/15,784/225)
(1221/343,432000/117649)
(57/16,945/256)
(177/49,9720/2401)
(11/3,40/9)
(93/25,3024/625)
(15/4,81/16)
(27/7,288/49)
(4,7)
(37/9,640/81)
(29/7,400/49)
(21/5,216/25)
(87/20,3969/400)
(9/2,45/4)
(228/49,30375/2401)
(117/25,8064/625)
(33/7,648/49)
(43/9,1120/81)
(237/49,34560/2401)
(39/8,945/64)
(5,16)
(51/10,1701/100)
(16/3,175/9)
(27/5,504/25)
(443/81,137200/6561)
(39/7,1080/49)
(159/28,18225/784)
(1011/175,746496/30625)
(6,27)
(759/125,435456/15625)
(19/3,280/9)
(51/8,2025/64)
(33/5,864/25)
(339/49,93312/2401)
(7,40)
(51/7,2160/49)
(15/2,189/4)
(23/3,448/9)
(39/5,1296/25)
(33/4,945/16)
(219/25,42336/625)
(9,72)
(37/4,1225/16)
(69/7,4320/49)
(21/2,405/4)
(75/7,5184/49)
(11,112)
(57/5,3024/25)
(12,135)
(195/16,35721/256)
(13,160)
(41/3,1600/9)
(69/5,4536/25)
(471/32,212625/1024)
(15,216)
(431/27,179200/729)
(411/25,163296/625)
(17,280)
(879/50,750141/2500)
(18,315)
(129/7,16200/49)
(141/7,19440/49)
(21,432)
(111/5,12096/25)
(113/5,12544/25)
(93/4,8505/16)
(24,567)
(171/7,28800/49)
(223/9,49000/81)
(27,720)
(89/3,7840/9)
(33,1080)
(69/2,4725/4)
(177/5,31104/25)
(39,1512)
(45,2016)
(51,2592)
(53,2800)
(57,3240)
(309/5,95256/25)
(67,4480)
(1077/16,1157625/256)
(141/2,19845/4)
(3603/49,12960000/2401)
(78,6075)
(87,7560)
(93,8640)
(789/7,622080/49)
(123,15120)
(147,21600)
(165,27216)
(1479/7,2187000/49)
(213,45360)
(253,64000)
(291,84672)
(297,88200)
(381,145152)
(483,233280)
(732,535815)
(753,567000)
(6159/5,37933056/25)
(1347,1814400)
(14403,207446400)
(26247,688905000)
#
# b = -8:
#
(0,-8)
(2/5,-196/25)
(1,-7)
(4/3,-56/9)
(13/8,-343/64)
(16/9,-392/81)
(2,-4)
(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)
(212/75,-56/5625)
(181/64,-7/4096)
(99/35,1/1225)
(17/6,1/36)
(57/20,49/400)
(20/7,8/49)
(43/15,49/225)
(26/9,28/81)
(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)
#
# b = -7:
#
(0,-7)
(1/25,-4374/625)
(1/2,-27/4)
(1,-6)
(7/5,-126/25)
(10/7,-243/49)
(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)
(13/5,-6/25)
(21/8,-7/64)
(329/125,-1134/15625)
(37/14,-3/196)
(119/45,-14/2025)
(463/175,-6/30625)
(127/48,1/2304)
(53/20,9/400)
(133/50,189/2500)
(8/3,1/9)
(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)
(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)
(12/7,-150/49)
(13/7,-125/49)
(2,-2)
(19/9,-125/81)
(9/4,-15/16)
(7/3,-5/9)
(12/5,-6/25)
(17/7,-5/49)
(39/16,-15/256)
(22/9,-2/81)
(120/49,-6/2401)
(4801/1960,1/3841600)
(49/20,1/400)
(103/42,25/1764)
(59/24,25/576)
(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)
(29/6,625/36)
(6,30)
(131/16,15625/256)
(9,75)
(16,250)
(138/7,18750/49)
#
# b = -5:
#
(0,-5)
(1,-4)
(5/3,-20/9)
(2,-1)
(15/7,-20/49)
(11/5,-4/25)
(20/9,-5/81)
(161/72,1/5184)
(47/21,4/441)
(9/4,1/16)
(7/3,4/9)
(5/2,5/4)
(3,4)
(5,20)
#
# b = -4:
#
(0,-4)
(2/49,-9600/2401)
(2/15,-896/225)
(2/9,-320/81)
(1/4,-63/16)
(2/7,-192/49)
(1/3,-35/9)
(2/5,-96/25)
(34/81,-25088/6561)
(1/2,-15/4)
(14/25,-2304/625)
(4/7,-180/49)
(122/189,-128000/35721)
(2/3,-32/9)
(47/64,-14175/4096)
(62/81,-22400/6561)
(4/5,-84/25)
(286/343,-388800/117649)
(6/7,-160/49)
(22/25,-2016/625)
(26/27,-2240/729)
(1,-3)
(22/21,-1280/441)
(17/16,-735/256)
(38/35,-3456/1225)
(10/9,-224/81)
(9/8,-175/64)
(142/125,-42336/15625)
(6/5,-64/25)
(62/49,-5760/2401)
(4/3,-20/9)
(34/25,-1344/625)
(11/8,-135/64)
(10/7,-96/49)
(3/2,-7/4)
(14/9,-128/81)
(11/7,-75/49)
(8/5,-36/25)
(44/27,-980/729)
(58/35,-1536/1225)
(622/375,-175616/140625)
(82/49,-2880/2401)
(1054/625,-451584/390625)
(46/27,-800/729)
(26/15,-224/225)
(7/4,-15/16)
(242/135,-14336/18225)
(38/21,-320/441)
(46/25,-384/625)
(13/7,-27/49)
(236/125,-6804/15625)
(17/9,-35/81)
(61/32,-375/1024)
(94/49,-768/2401)
(48/25,-196/625)
(31/16,-63/256)
(158/81,-1280/6561)
(482/245,-7776/60025)
(124/63,-500/3969)
(2038/1029,-81920/1058841)
(446/225,-3584/50625)
(4798/2401,-38400/5764801)
(8746/4375,-69984/19140625)
(4376/2187,17500/4782969)
(1201/600,2401/360000)
(113/56,225/3136)
(517/256,5145/65536)
(254/125,2016/15625)
(494/243,7840/59049)
(41/20,81/400)
(130/63,1024/3969)
(102/49,800/2401)
(25/12,49/144)
(262/125,6144/15625)
(74/35,576/1225)
(514/243,28000/59049)
(58/27,448/729)
(13/6,25/36)
(11/5,21/25)
(71/32,945/1024)
(34/15,256/225)
(16/7,60/49)
(58/25,864/625)
(337/144,30625/20736)
(106/45,3136/2025)
(814/343,192000/117649)
(19/8,105/64)
(118/49,4320/2401)
(22/9,160/81)
(62/25,1344/625)
(5/2,9/4)
(18/7,128/49)
(8/3,28/9)
(74/27,2560/729)
(58/21,1600/441)
(14/5,96/25)
(29/10,441/100)
(3,5)
(152/49,13500/2401)
(78/25,3584/625)
(22/7,288/49)
(86/27,4480/729)
(158/49,15360/2401)
(13/4,105/16)
(10/3,64/9)
(17/5,189/25)
(32/9,700/81)
(18/5,224/25)
(886/243,548800/59049)
(26/7,480/49)
(53/14,2025/196)
(674/175,331776/30625)
(4,12)
(506/125,193536/15625)
(38/9,1120/81)
(17/4,225/16)
(22/5,384/25)
(226/49,41472/2401)
(14/3,160/9)
(34/7,960/49)
(5,21)
(46/9,1792/81)
(26/5,576/25)
(11/2,105/4)
(146/25,18816/625)
(6,32)
(37/6,1225/36)
(46/7,1920/49)
(7,45)
(50/7,2304/49)
(22/3,448/9)
(38/5,1344/25)
(8,60)
(65/8,3969/64)
(26/3,640/9)
(82/9,6400/81)
(46/5,2016/25)
(157/16,23625/256)
(10,96)
(862/81,716800/6561)
(274/25,72576/625)
(34/3,1120/9)
(293/25,83349/625)
(12,140)
(86/7,7200/49)
(94/7,8640/49)
(14,192)
(74/5,5376/25)
(226/15,50176/225)
(31/2,945/4)
(16,252)
(114/7,12800/49)
(446/27,196000/729)
(18,320)
(178/9,31360/81)
(22,480)
(23,525)
(118/5,13824/25)
(26,672)
(30,896)
(34,1152)
(106/3,11200/9)
(38,1440)
(206/5,42336/25)
(134/3,17920/9)
(359/8,128625/64)
(47,2205)
(2402/49,5760000/2401)
(52,2700)
(58,3360)
(62,3840)
(526/7,276480/49)
(82,6720)
(98,9600)
(110,12096)
(986/7,972000/49)
(142,20160)
(506/3,256000/9)
(194,37632)
(198,39200)
(254,64512)
(322,103680)
(488,238140)
(502,252000)
(4106/5,16859136/25)
(898,806400)
(9602,92198400)
(17498,306180000)
#
# b = -3:
#
(0,-3)
(1,-2)
(3/2,-3/4)
(5/3,-2/9)
(12/7,-3/49)
(97/56,1/3136)
(26/15,1/225)
(7/4,1/16)
(9/5,6/25)
(2,1)
(3,6)
#
# 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)
(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)
(106/75,-14/5625)
(181/128,-7/16384)
(99/70,1/4900)
(17/12,1/144)
(57/40,49/1600)
(10/7,2/49)
(43/30,49/900)
(13/9,7/81)
(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)
#
# b = -1:
#
(0,-1)
(1/49,-2400/2401)
(1/15,-224/225)
(1/9,-80/81)
(1/8,-63/64)
(1/7,-48/49)
(1/6,-35/36)
(1/5,-24/25)
(17/81,-6272/6561)
(1/4,-15/16)
(7/25,-576/625)
(2/7,-45/49)
(61/189,-32000/35721)
(1/3,-8/9)
(47/128,-14175/16384)
(31/81,-5600/6561)
(2/5,-21/25)
(143/343,-97200/117649)
(3/7,-40/49)
(11/25,-504/625)
(13/27,-560/729)
(1/2,-3/4)
(11/21,-320/441)
(17/32,-735/1024)
(19/35,-864/1225)
(5/9,-56/81)
(9/16,-175/256)
(71/125,-10584/15625)
(3/5,-16/25)
(31/49,-1440/2401)
(2/3,-5/9)
(17/25,-336/625)
(11/16,-135/256)
(5/7,-24/49)
(3/4,-7/16)
(7/9,-32/81)
(11/14,-75/196)
(4/5,-9/25)
(22/27,-245/729)
(29/35,-384/1225)
(311/375,-43904/140625)
(41/49,-720/2401)
(527/625,-112896/390625)
(23/27,-200/729)
(13/15,-56/225)
(7/8,-15/64)
(121/135,-3584/18225)
(19/21,-80/441)
(23/25,-96/625)
(13/14,-27/196)
(118/125,-1701/15625)
(17/18,-35/324)
(61/64,-375/4096)
(47/49,-192/2401)
(24/25,-49/625)
(31/32,-63/1024)
(79/81,-320/6561)
(241/245,-1944/60025)
(62/63,-125/3969)
(1019/1029,-20480/1058841)
(223/225,-896/50625)
(2399/2401,-9600/5764801)
(4373/4375,-17496/19140625)
(2188/2187,4375/4782969)
(1201/1200,2401/1440000)
(113/112,225/12544)
(517/512,5145/262144)
(127/125,504/15625)
(247/243,1960/59049)
(41/40,81/1600)
(65/63,256/3969)
(51/49,200/2401)
(25/24,49/576)
(131/125,1536/15625)
(37/35,144/1225)
(257/243,7000/59049)
(29/27,112/729)
(13/12,25/144)
(11/10,21/100)
(71/64,945/4096)
(17/15,64/225)
(8/7,15/49)
(29/25,216/625)
(337/288,30625/82944)
(53/45,784/2025)
(407/343,48000/117649)
(19/16,105/256)
(59/49,1080/2401)
(11/9,40/81)
(31/25,336/625)
(5/4,9/16)
(9/7,32/49)
(4/3,7/9)
(37/27,640/729)
(29/21,400/441)
(7/5,24/25)
(29/20,441/400)
(3/2,5/4)
(76/49,3375/2401)
(39/25,896/625)
(11/7,72/49)
(43/27,1120/729)
(79/49,3840/2401)
(13/8,105/64)
(5/3,16/9)
(17/10,189/100)
(16/9,175/81)
(9/5,56/25)
(443/243,137200/59049)
(13/7,120/49)
(53/28,2025/784)
(337/175,82944/30625)
(2,3)
(253/125,48384/15625)
(19/9,280/81)
(17/8,225/64)
(11/5,96/25)
(113/49,10368/2401)
(7/3,40/9)
(17/7,240/49)
(5/2,21/4)
(23/9,448/81)
(13/5,144/25)
(11/4,105/16)
(73/25,4704/625)
(3,8)
(37/12,1225/144)
(23/7,480/49)
(7/2,45/4)
(25/7,576/49)
(11/3,112/9)
(19/5,336/25)
(4,15)
(65/16,3969/256)
(13/3,160/9)
(41/9,1600/81)
(23/5,504/25)
(157/32,23625/1024)
(5,24)
(431/81,179200/6561)
(137/25,18144/625)
(17/3,280/9)
(293/50,83349/2500)
(6,35)
(43/7,1800/49)
(47/7,2160/49)
(7,48)
(37/5,1344/25)
(113/15,12544/225)
(31/4,945/16)
(8,63)
(57/7,3200/49)
(223/27,49000/729)
(9,80)
(89/9,7840/81)
(11,120)
(23/2,525/4)
(59/5,3456/25)
(13,168)
(15,224)
(17,288)
(53/3,2800/9)
(19,360)
(103/5,10584/25)
(67/3,4480/9)
(359/16,128625/256)
(47/2,2205/4)
(1201/49,1440000/2401)
(26,675)
(29,840)
(31,960)
(263/7,69120/49)
(41,1680)
(49,2400)
(55,3024)
(493/7,243000/49)
(71,5040)
(253/3,64000/9)
(97,9408)
(99,9800)
(127,16128)
(161,25920)
(244,59535)
(251,63000)
(2053/5,4214784/25)
(449,201600)
(4801,23049600)
(8749,76545000)
#
# b = 1:
#
(0,1)
(1/7,50/49)
(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)
(3,10)
(24/7,625/49)
(11/2,125/4)
(7,50)
(79/3,6250/9)
#
# b = 2:
#
(0,2)
(17/56,6561/3136)
(2/5,54/25)
(1/2,9/4)
(1,3)
(8/7,162/49)
(7/4,81/16)
(2,6)
(23/10,729/100)
(4,18)
(5,27)
(22,486)
#
# b = 3:
#
(0,3)
(1/4,49/16)
(1/3,28/9)
(3/5,84/25)
(143/180,117649/32400)
(1,4)
(10/9,343/81)
(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)
(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)
(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)
(1/2,21/4)
(2/3,49/9)
(5/7,270/49)
(61/80,35721/6400)
(1,6)
(53/50,15309/2500)
(5/4,105/16)
(11/8,441/64)
(8/5,189/25)
(5/3,70/9)
(227/125,129654/15625)
(2,9)
(23/10,1029/100)
(5/2,45/4)
(13/5,294/25)
(3,14)
(25/8,945/64)
(22/7,729/49)
(41/12,2401/144)
(19/5,486/25)
(4,21)
(19/4,441/16)
(5,30)
(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)
(1019/64,1058841/4096)
(17,294)
(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)
(2/9,490/81)
(1/2,25/4)
(3/4,105/16)
(1,7)
(9/7,375/49)
(4/3,70/9)
(19/12,1225/144)
(71/42,15625/1764)
(2,10)
(33/16,2625/256)
(12/5,294/25)
(5/2,49/4)
(3,15)
(29/8,1225/64)
(11/3,175/9)
(9/2,105/4)
(14/3,250/9)
(17/3,343/9)
(23/4,625/16)
(6,42)
(477/64,252105/4096)
(8,70)
(69/8,5145/64)
(12,150)
(13,175)
(241/18,60025/324)
(22,490)
(208/9,43750/81)
(51/2,2625/4)
(27,735)
(292/9,85750/81)
(2399/40,5764801/1600)
(4373/54,19140625/2916)
(120,14406)
(162,26250)
(463,214375)
#
# b = 7:
#
(0,7)
(1/3,64/9)
(1,8)
(47/45,16384/2025)
(7/5,224/25)
(9/5,256/25)
(13/7,512/49)
(7/3,112/9)
(3,16)
(35/9,1792/81)
(5,32)
(7,56)
(31/3,1024/9)
(11,128)
(21,448)
(119/5,14336/25)
(181,32768)
#
# b = 8:
#
(0,8)
(17/28,6561/784)
(4/5,216/25)
(1,9)
(2,12)
(16/7,648/49)
(7/2,81/4)
(4,24)
(23/5,729/25)
(8,72)
(10,108)
(44,1944)
#
# b = 9:
#
(0,9)
(3/7,450/49)
(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)
(9,90)
(72/7,5625/49)
(33/2,1125/4)
(21,450)
(79,6250)
#
# b = 10:
#
(0,10)
(26,686)
#
# b = 11:
#
(1/7,540/49)
(1/3,100/9)
(1/2,45/4)
(5/8,729/64)
(1,12)
(37/36,15625/1296)
(7/5,324/25)
(7/4,225/16)
(2,15)
(127/56,50625/3136)
(19/7,900/49)
(3,20)
(113/35,26244/1225)
(53/16,5625/256)
(26/7,1215/49)
(4,27)
(31/7,1500/49)
(9/2,125/4)
(5,36)
(7,60)
(1151/147,1562500/21609)
(8,75)
(679/80,531441/6400)
(19/2,405/4)
(43/4,2025/16)
(13,180)
(94/7,9375/49)
(49/3,2500/9)
(17,300)
(1033/49,1093500/2401)
(23,540)
(31,972)
(269/7,72900/49)
(58,3375)
(67,4500)
(181/2,32805/4)
(433,187500)
#
# b = 12:
#
(0,12)
(1/2,49/4)
(2/3,112/9)
(6/5,336/25)
(143/90,117649/8100)
(2,16)
(20/9,1372/81)
(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)
#
# b = 13:
#
(19/5,686/25)
#
# b = 14:
#
(0,14)
(329/9,109375/81)
(38,1458)
#
# b = 15:
#
(0,15)
(3/5,384/25)
(1,16)
(5/3,160/9)
(15/7,960/49)
(17/7,1024/49)
(3,24)
(11/3,256/9)
(5,40)
(7,64)
(9,96)
(95/9,10240/81)
(61/5,4096/25)
(15,240)
(25,640)
(39,1536)
(495/7,245760/49)
#
# b = 16:
#
(0,16)
(4/7,800/49)
(7/6,625/36)
(4/3,160/9)
(2,20)
(3,25)
(4,32)
(16/3,400/9)
(52/9,4000/81)
(527/84,390625/7056)
(8,80)
(12,160)
(96/7,10000/49)
(22,500)
(28,800)
(316/3,100000/9)
#
# b = 17:
#
(104/175,531441/30625)
(25/7,1458/49)
(94/5,9261/25)
#
# b = 18:
#
(0,18)
(51/56,59049/3136)
(6/5,486/25)
(3/2,81/4)
(3,27)
(24/7,1458/49)
(21/4,729/16)
(6,54)
(69/10,6561/100)
(12,162)
(15,243)
(66,4374)
#
# b = 19:
#
(3/8,1225/64)
(2/3,175/9)
(27/28,15625/784)
(1,20)
(5/3,196/9)
(3,28)
(31/9,2500/81)
(7/2,125/4)
(4,35)
(73/15,9604/225)
(143/27,34300/729)
(13/2,245/4)
(23/3,700/9)
(305/36,117649/1296)
(9,100)
(14167/1512,244140625/2286144)
(11,140)
(167/12,30625/144)
(18,343)
(181/9,34300/81)
(1207/48,1500625/2304)
(31,980)
(59,3500)
(66,4375)
(559,312500)
#
# b = 20:
#
(0,20)
(5/16,5145/256)
(2/5,504/25)
(1/2,81/4)
(1,21)
(4/3,196/9)
(10/7,1080/49)
(61/40,35721/1600)
(2,24)
(53/25,15309/625)
(5/2,105/4)
(11/4,441/16)
(16/5,756/25)
(10/3,280/9)
(454/125,518616/15625)
(4,36)
(23/5,1029/25)
(5,45)
(26/5,1176/25)
(6,56)
(25/4,945/16)
(44/7,2916/49)
(41/6,2401/36)
(38/5,1944/25)
(8,84)
(19/2,441/4)
(10,120)
(85/8,8505/64)
(110/9,13720/81)
(13,189)
(14,216)
(15,245)
(458/25,222264/625)
(79/4,6561/16)
(20,420)
(22,504)
(124/5,15876/25)
(1019/32,1058841/1024)
(34,1176)
(40,1620)
(41,1701)
(50,2520)
(64,4116)
(366/5,134456/25)
(215/2,46305/4)
(202,40824)
(230,52920)
(1660,2755620)
#
# b = 21:
#
(0,21)
(7/9,1750/81)
(2,25)
(3,30)
(17/4,625/16)
(7,70)
(21/2,525/4)
(118/9,15625/81)
(27,750)
#
# b = 22:
#
#
# b = 23:
#
(1/5,576/25)
(5/7,1152/49)
(1,24)
(13/7,1296/49)
(2,27)
(7/3,256/9)
(3,32)
(17/5,864/25)
(79/21,16384/441)
(101/25,24576/625)
(19/4,729/16)
(5,48)
(31/5,1536/25)
(7,72)
(37/5,1944/25)
(59/7,4608/49)
(5597/625,40310784/390625)
(11,144)
(4021/343,18874368/117649)
(301/25,104976/625)
(13,192)
(551/35,331776/1225)
(19,384)
(149/7,23328/49)
(1001/45,1048576/2025)
(25,648)
(29,864)
(45,2048)
(287/5,82944/25)
(83,6912)
(187,34992)
#
# b = 24:
#
(0,24)
(2/27,17500/729)
(1/10,2401/100)
(4/9,1960/81)
(1,25)
(3/2,105/4)
(2,28)
(18/7,1500/49)
(8/3,280/9)
(19/6,1225/36)
(71/21,15625/441)
(4,40)
(33/8,2625/64)
(24/5,1176/25)
(5,49)
(6,60)
(29/4,1225/16)
(22/3,700/9)
(9,105)
(28/3,1000/9)
(34/3,1372/9)
(23/2,625/4)
(12,168)
(477/32,252105/1024)
(16,280)
(69/4,5145/16)
(24,600)
(26,700)
(241/9,60025/81)
(44,1960)
(416/9,175000/81)
(51,2625)
(54,2940)
(584/9,343000/81)
(2399/20,5764801/400)
(4373/27,19140625/729)
(240,57624)
(324,105000)
(926,857500)
#
# b = 25:
#
(0,25)
(5/7,1250/49)
(35/24,15625/576)
(5/3,250/9)
(5/2,125/4)
(15/4,625/16)
(5,50)
(20/3,625/9)
(65/9,6250/81)
(2635/336,9765625/112896)
(10,125)
(15,250)
(120/7,15625/49)
(55/2,3125/4)
(35,1250)
(395/3,156250/9)
#
# b = 26:
#
(11/48,60025/2304)
(1/2,105/4)
(1,27)
(6/5,686/25)
(5/4,441/16)
(4/3,250/9)
(23/14,5625/196)
(2,30)
(19/8,2025/64)
(43/16,8505/256)
(17/6,1225/36)
(3,35)
(37/10,3969/100)
(31/8,2625/64)
(4,42)
(22/5,1134/25)
(34/7,2430/49)
(521/100,531441/10000)
(16/3,490/9)
(11/2,225/4)
(23/4,945/16)
(7,75)
(59/8,5145/64)
(8,90)
(149/18,30625/324)
(557/64,416745/4096)
(109/12,15625/144)
(391/40,194481/1600)
(10,126)
(307/30,117649/900)
(74/7,6750/49)
(11,147)
(47/4,2625/16)
(1522/125,2722734/15625)
(25/2,729/4)
(379/28,164025/784)
(29/2,945/4)
(499/32,275625/1024)
(148/9,24010/81)
(17,315)
(18,350)
(536/27,306250/729)
(751/32,590625/1024)
(103/4,11025/16)
(28,810)
(32,1050)
(71/2,5145/4)
(38,1470)
(10463/256,111178305/65536)
(43,1875)
(6371/128,41015625/16384)
(53,2835)
(302/5,91854/25)
(82,6750)
(829/8,688905/64)
(109,11907)
(136,18522)
(207,42875)
(461/2,212625/4)
(332,110250)
(550,302526)
#
# b = 27:
#
(0,27)
(3/4,441/16)
(1,28)
(9/5,756/25)
(143/60,117649/3600)
(3,36)
(10/3,343/9)
(9/2,189/4)
(6,63)
(33/5,1764/25)
(81/10,9261/100)
(9,108)
(13,196)
(15,252)
(141/8,21609/64)
(27,756)
(36,1323)
(1341/25,1815156/625)
(111,12348)
#
# b = 28:
#
(0,28)
(2/3,256/9)
(2,32)
(94/45,65536/2025)
(14/5,896/25)
(18/5,1024/25)
(26/7,2048/49)
(14/3,448/9)
(6,64)
(70/9,7168/81)
(10,128)
(14,224)
(62/3,4096/9)
(22,512)
(42,1792)
(238/5,57344/25)
(362,131072)
#
# b = 29:
#
(2/5,729/25)
(1,30)
(3/2,125/4)
(13/8,2025/64)
(4,45)
(5,54)
(167/28,50625/784)
(17/2,405/4)
(107/12,15625/144)
(73/7,6750/49)
(11,150)
(14,225)
(143/7,21870/49)
(1186/49,1476225/2401)
(721/20,531441/400)
(49,2430)
(61,3750)
(503/2,253125/4)
#
# b = 30:
#
(0,30)
#
# b = 31:
#
(67/243,1835008/59049)
(1/3,280/9)
(1/2,125/4)
(3/5,784/25)
(7/9,2560/81)
(1,32)
(233/216,1500625/46656)
(9/7,1600/49)
(127/81,219520/6561)
(49/27,25000/729)
(17/9,2800/81)
(2,35)
(11/5,896/25)
(8/3,343/9)
(25/9,3136/81)
(3,40)
(23/7,2048/49)
(11/3,400/9)
(467/125,702464/15625)
(943/225,2458624/50625)
(13/3,448/9)
(215/48,117649/2304)
(113/24,30625/576)
(5,56)
(11/2,245/4)
(149/27,44800/729)
(41/7,3200/49)
(19/3,640/9)
(97/15,16384/225)
(27/4,1225/16)
(7,80)
(67/9,7000/81)
(10099/1323,156250000/1750329)
(73/9,7840/81)
(59/7,5000/49)
(9,112)
(29/3,1120/9)
(3817/384,19140625/147456)
(271/27,96040/729)
(53/5,3584/25)
(299/27,112000/729)
(719/63,640000/3969)
(12,175)
(80657/6561,7840000000/43046721)
(13,200)
(41/3,1960/9)
(15,256)
(1343/81,2007040/6561)
(17,320)
(863/49,819200/2401)
(19,392)
(1231/63,1638400/3969)
(101/5,10976/25)
(61/3,4000/9)
(64/3,4375/9)
(23,560)
(383/15,153664/225)
(83/3,7168/9)
(263/9,71680/81)
(123/4,15625/16)
(1969/63,4000000/3969)
(33,1120)
(37,1400)
(367/9,137200/81)
(139/3,19600/9)
(47,2240)
(109/2,12005/4)
(63,4000)
(211/3,44800/9)
(79,6272)
(2563/25,6588344/625)
(113,12800)
(117,13720)
(3701/27,13720000/729)
(143,20480)
(177,31360)
(187,35000)
(313,98000)
(1037/3,1075648/9)
(4183/9,17500000/81)
(1619/3,2621440/9)
(3313,10976000)
#
# b = 32:
#
(0,32)
(17/14,6561/196)
(8/5,864/25)
(2,36)
(4,48)
(32/7,2592/49)
(7,81)
(8,96)
(46/5,2916/25)
(16,288)
(20,432)
(88,7776)
#
# b = 33:
#
(17/8,2401/64)
(3,42)
(4,49)
(332/15,117649/225)
(45,2058)
#
# b = 34:
#
(1/6,1225/36)
(1,35)
(15/8,2401/64)
(9/4,625/16)
(26/9,3430/81)
(4,50)
(6,70)
(463/72,390625/5184)
(8,98)
(1951/240,5764801/57600)
(38/3,1750/9)
(33/2,1225/4)
(172/7,31250/49)
(29,875)
(41,1715)
(1223/12,1500625/144)
#
# b = 35:
#
(0,35)
(13/4,729/16)
(7/2,189/4)
(10,135)
(371/2,137781/4)