# List of pairs of S-integers (x,y) satisfying
# 1x^3 + 0x^2y + 0xy^2 + 1y^3 = m, where
# m = 1, ..., 100 and
# S is the set of the first 100 primes.
# For each solution (x,y), only one of (x,y), (y,x) is listed.
# It contains 140 pairs in total.
# Format: "(x,y)".
# Computing this list took 3544 seconds.
# Authors: Rafael von Känel and Benjamin Matschke, 2015.
# License: Creative commons 3.0 by-nc.
#
# m = 1:
#
(1,0)
#
# m = 2:
#
(1,1)
#
# m = 3:
#
#
# m = 4:
#
#
# m = 5:
#
#
# m = 6:
#
(37/21,17/21)
#
# m = 7:
#
(5/3,4/3)
(4309182809/2252725111,191114642/2252725111)
(73/38,-17/38)
(2,-1)
(1265/183,-1256/183)
#
# m = 8:
#
(2,0)
#
# m = 9:
#
(2,1)
(188479/90391,-36520/90391)
(919/438,-271/438)
(20/7,-17/7)
#
# m = 10:
#
#
# m = 11:
#
#
# m = 12:
#
(89/39,19/39)
#
# m = 13:
#
(7/3,2/3)
(2513/1005,-1388/1005)
#
# m = 14:
#
#
# m = 15:
#
(683/294,397/294)
#
# m = 16:
#
(2,2)
#
# m = 17:
#
(104940/40831,11663/40831)
(18/7,-1/7)
#
# m = 18:
#
#
# m = 19:
#
(1502783/670397,1325880/670397)
(5/2,3/2)
(92/35,33/35)
(8/3,1/3)
(4738067/1775610,-121067/1775610)
(13301/4983,-1322/4983)
(4112/1533,-1025/1533)
(20647565/7467423,-9622178/7467423)
(36/13,-17/13)
(3,-2)
(109/31,-90/31)
(895/196,-831/196)
(613/103,-594/103)
(15601/1348,-15537/1348)
(2395/201,-2386/201)
#
# m = 20:
#
(19/7,1/7)
(43453/16002,-4573/16002)
#
# m = 21:
#
#
# m = 22:
#
(25469/9954,17299/9954)
#
# m = 23:
#
#
# m = 24:
#
#
# m = 25:
#
#
# m = 26:
#
(75/28,53/28)
(3,-1)
(21709/6327,-15391/6327)
#
# m = 27:
#
(3,0)
#
# m = 28:
#
(63284705/21446828,28340511/21446828)
(3,1)
(87/26,-55/26)
#
# m = 29:
#
#
# m = 30:
#
(163/57,107/57)
(6971792939/2245431804,917097301/2245431804)
(289/93,-19/93)
(4769/1446,-2609/1446)
#
# m = 31:
#
(316425265/119531076,277028111/119531076)
(137/42,-65/42)
#
# m = 32:
#
#
# m = 33:
#
(1853/582,523/582)
#
# m = 34:
#
(631/182,-359/182)
#
# m = 35:
#
(3,2)
(295957496/77012947,-214986111/77012947)
(129/19,-124/19)
#
# m = 36:
#
#
# m = 37:
#
(19/7,18/7)
(333667/111492,241757/111492)
(9980/3003,1999/3003)
(303/91,40/91)
(1033/310,-33/310)
(10/3,-1/3)
(18948779/5318607,-10734722/5318607)
(13683/3568,-9587/3568)
(4,-3)
(732421/159873,-622918/159873)
(69/14,-61/14)
(807277298/150472007,-736832301/150472007)
(351937/7189,-351900/7189)
#
# m = 38:
#
#
# m = 39:
#
#
# m = 40:
#
#
# m = 41:
#
#
# m = 42:
#
(449/129,-71/129)
#
# m = 43:
#
(7/2,1/2)
(805/228,-229/228)
#
# m = 44:
#
#
# m = 45:
#
#
# m = 46:
#
#
# m = 47:
#
#
# m = 48:
#
(74/21,34/21)
#
# m = 49:
#
(14465/4017,5308/4017)
(11/3,-2/3)
#
# m = 50:
#
(23417/6111,-11267/6111)
#
# m = 51:
#
(730511/197028,62641/197028)
#
# m = 52:
#
#
# m = 53:
#
(1872/217,-1819/217)
#
# m = 54:
#
(3,3)
#
# m = 55:
#
#
# m = 56:
#
(10/3,8/3)
(8618365618/2252725111,382229284/2252725111)
(73/19,-17/19)
(4,-2)
(2530/183,-2512/183)
#
# m = 57:
#
#
# m = 58:
#
#
# m = 59:
#
#
# m = 60:
#
#
# m = 61:
#
(248/63,-5/63)
(5,-4)
#
# m = 62:
#
(11/3,7/3)
(22187/2964,-21035/2964)
#
# m = 63:
#
(248/65,127/65)
(4,-1)
(274049/48396,-237761/48396)
#
# m = 64:
#
(4,0)
#
# m = 65:
#
(55187791/15980559,45976304/15980559)
(323/86,197/86)
(4,1)
(88/21,-43/21)
(1763/395,-1138/395)
(191/39,-146/39)
(31879/5548,-27719/5548)
(5274483733/746849628,-4927751893/746849628)
(3467/291,-3422/291)
#
# m = 66:
#
#
# m = 67:
#
(5353/1323,1208/1323)
#
# m = 68:
#
#
# m = 69:
#
(15409/3318,-10441/3318)
#
# m = 70:
#
(53/13,17/13)
(2803753/623844,-1715113/623844)
#
# m = 71:
#
(197/43,-126/43)
#
# m = 72:
#
(4,2)
(376958/90391,-73040/90391)
(919/219,-271/219)
(40/7,-34/7)
#
# m = 73:
#
#
# m = 74:
#
#
# m = 75:
#
#
# m = 76:
#
#
# m = 77:
#
#
# m = 78:
#
(5563/1302,53/1302)
#
# m = 79:
#
(26897/6783,17320/6783)
(13/3,-4/3)
#
# m = 80:
#
#
# m = 81:
#
#
# m = 82:
#
#
# m = 83:
#
#
# m = 84:
#
(433/111,323/111)
#
# m = 85:
#
(2570129/330498,-2404889/330498)
#
# m = 86:
#
(106307/25506,60877/25506)
(13/3,5/3)
(31811/6216,-22595/6216)
(232815757/39996789,-192350119/39996789)
(10067/399,-10049/399)
#
# m = 87:
#
#
# m = 88:
#
#
# m = 89:
#
(53/13,36/13)
#
# m = 90:
#
(1241/273,-431/273)
#
# m = 91:
#
(4,3)
(208794847/49875229,129814026/49875229)
(94/21,23/21)
(6543/1460,1457/1460)
(9/2,-1/2)
(1535/341,-204/341)
(73709/15392,-40941/15392)
(275/57,-158/57)
(653/111,-536/111)
(6,-5)
(30997/3130,-29997/3130)
(472/37,-465/37)
#
# m = 92:
#
(25903/5733,-3547/5733)
#
# m = 93:
#
#
# m = 94:
#
#
# m = 95:
#
#
# m = 96:
#
(178/39,38/39)
#
# m = 97:
#
(34916/8607,26815/8607)
(14/3,-5/3)
#
# m = 98:
#
(669/152,355/152)
(5,-3)
#
# m = 99:
#
#
# m = 100:
#