# List of pairs of S-integers (x,y) satisfying
# 1x^3 + 0x^2y + 0xy^2 + 2y^3 = m, where
# m = 1, ..., 100 and
# S is the set of the first 100 primes.
# It contains 93 pairs in total.
# Format: "(x,y)".
# Computing this list took 4312 seconds.
# Authors: Rafael von Känel and Benjamin Matschke, 2015.
# License: Creative commons 3.0 by-nc.
#
# m = 1:
#
(-1,1)
(1,0)
#
# m = 2:
#
(0,1)
#
# m = 3:
#
(-5,4)
(1,1)
(655/253,-488/253)
#
# m = 4:
#
#
# m = 5:
#
#
# m = 6:
#
(-2872/1555,2849/1555)
(4/5,7/5)
(2,-1)
#
# m = 7:
#
#
# m = 8:
#
(-2,2)
(2,0)
#
# m = 9:
#
#
# m = 10:
#
(-88/59,111/59)
(-1318/1195,2131/1195)
(2,1)
(4,-3)
#
# m = 11:
#
(-15/43,76/43)
(3,-2)
#
# m = 12:
#
#
# m = 13:
#
#
# m = 14:
#
#
# m = 15:
#
(-1,2)
(314309/435787,845852/435787)
(31/17,28/17)
(31/11,-17/11)
(37/5,-29/5)
#
# m = 16:
#
(0,2)
#
# m = 17:
#
(-11/5,12/5)
(1,2)
#
# m = 18:
#
#
# m = 19:
#
#
# m = 20:
#
#
# m = 21:
#
#
# m = 22:
#
#
# m = 23:
#
#
# m = 24:
#
(-10,8)
(2,2)
(1310/253,-976/253)
#
# m = 25:
#
(69/29,52/29)
(3,-1)
#
# m = 26:
#
#
# m = 27:
#
(-3,3)
(3,0)
#
# m = 28:
#
#
# m = 29:
#
(3,1)
(93/25,-56/25)
#
# m = 30:
#
#
# m = 31:
#
#
# m = 32:
#
#
# m = 33:
#
#
# m = 34:
#
(-6,5)
(852/233,-455/233)
#
# m = 35:
#
#
# m = 36:
#
#
# m = 37:
#
#
# m = 38:
#
#
# m = 39:
#
#
# m = 40:
#
#
# m = 41:
#
#
# m = 42:
#
#
# m = 43:
#
(-237/43,203/43)
(-5787/1415,5404/1415)
(-51/1199,3334/1199)
(3,2)
(75/23,37/23)
(46836525/7373087,-34967072/7373087)
(9,-7)
(177/11,-140/11)
#
# m = 44:
#
#
# m = 45:
#
#
# m = 46:
#
(-2,3)
(100/31,57/31)
#
# m = 47:
#
(-15747039/500047,12504700/500047)
(63,-50)
#
# m = 48:
#
(-5744/1555,5698/1555)
(8/5,14/5)
(4,-2)
#
# m = 49:
#
#
# m = 50:
#
#
# m = 51:
#
#
# m = 52:
#
#
# m = 53:
#
(-1,3)
(107/55,156/55)
#
# m = 54:
#
(0,3)
#
# m = 55:
#
(-234697/16241,187404/16241)
(-23101/4213,20182/4213)
(-109/53,168/53)
(1,3)
(19/5,2/5)
(29,-23)
#
# m = 56:
#
#
# m = 57:
#
#
# m = 58:
#
#
# m = 59:
#
#
# m = 60:
#
#
# m = 61:
#
#
# m = 62:
#
(-34,27)
(-88/17,79/17)
(-116/23,105/23)
(-794/457,1475/457)
(2,3)
(8930/4343,12973/4343)
(40/11,21/11)
(146078/37241,34915/37241)
(12787606/3255719,2895141/3255719)
(4,-1)
(26/5,-17/5)
#
# m = 63:
#
#
# m = 64:
#
(-4,4)
(4,0)
#
# m = 65:
#
#
# m = 66:
#
(2526598/701947,1496167/701947)
(4,1)
(136/31,-65/31)
#
# m = 67:
#
#
# m = 68:
#
#
# m = 69:
#
#
# m = 70:
#
#
# m = 71:
#
(85/179,588/179)
(5,-3)
#
# m = 72:
#
#
# m = 73:
#
#
# m = 74:
#
#
# m = 75:
#
#
# m = 76:
#
#
# m = 77:
#
#
# m = 78:
#
#
# m = 79:
#
#
# m = 80:
#
(-176/59,222/59)
(-2636/1195,4262/1195)
(4,2)
(8,-6)
#
# m = 81:
#
(-15,12)
(3,3)
(1965/253,-1464/253)
#
# m = 82:
#
(-6020/901,5181/901)
(14,-11)
#
# m = 83:
#
(9/11,38/11)
#
# m = 84:
#
#
# m = 85:
#
#
# m = 86:
#
#
# m = 87:
#
#
# m = 88:
#
(-30/43,152/43)
(6,-4)
#
# m = 89:
#
(-7,6)
(3647/775,-1524/775)
#
# m = 90:
#
#
# m = 91:
#
#
# m = 92:
#
#
# m = 93:
#
(7,-5)
#
# m = 94:
#
#
# m = 95:
#
#
# m = 96:
#
#
# m = 97:
#
#
# m = 98:
#
#
# m = 99:
#
#
# m = 100:
#