# List of all primitive integral solutions of the Thue-Mahler equation # 1x^3 + 0x^2y + -3xy^2 + -1y^3 = 1z, # such that the only primes dividing z are among S = {3,17,19}. # It contains 78 pairs in total. # Format: "(x, y)". # Computing this list took 19 seconds. # Authors: Rafael von Känel and Benjamin Matschke, 2015. # License: Creative commons 3.0 by-nc. # (-933, 896) (-712, -379) (-379, 1091) (-315, 206) (-97, -54) (-90, 59) (-86, 73) (-54, 151) (-46, 31) (-29, -20) (-28, -15) (-20, 49) (-18, -13) (-15, -8) (-15, 43) (-13, -7) (-13, 31) (-11, 10) (-8, 23) (-7, -4) (-7, 5) (-7, 11) (-7, 20) (-6, 7) (-5, 4) (-5, 8) (-5, 9) (-4, -7) (-4, -5) (-4, 3) (-4, 11) (-3, -5) (-3, -2) (-3, 2) (-2, 3) (-2, 5) (-1, -6) (-1, -2) (-1, -1) (-1, 1) (-1, 2) (0, -1) (1, -11) (1, -5) (1, -4) (1, -3) (1, 0) (2, -7) (2, -1) (2, 1) (3, -1) (3, 1) (4, 1) (5, -3) (5, 2) (7, -1) (8, -3) (9, -4) (10, 1) (11, -7) (11, -4) (13, -86) (15, -46) (20, -13) (23, -15) (31, -90) (31, -18) (31, 15) (37, -933) (43, -28) (49, -29) (59, 31) (73, 13) (109, -315) (151, -97) (206, 109) (896, 37) (1091, -712)