INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1728 Minimal number of generators: 289 Number of equivalence classes of cusps: 80 Genus: 105 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -15/32 -13/30 -11/28 -1/3 -7/24 -5/22 0/1 2/15 5/29 3/14 7/27 4/13 1/3 9/25 5/12 31/71 1/2 6/11 13/21 7/10 15/19 8/9 1/1 9/8 19/15 10/7 3/2 52/33 21/13 5/3 11/6 2/1 11/5 7/3 12/5 5/2 37/14 273/101 25/9 3/1 13/4 10/3 105/31 17/5 79/23 7/2 11/3 67/18 23/6 27/7 4/1 13/3 9/2 23/5 14/3 19/4 29/6 5/1 31/6 57/11 21/4 16/3 43/8 11/2 101/18 17/3 23/4 29/5 6/1 13/2 7/1 15/2 8/1 17/2 9/1 19/2 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 0/1 1/2 -8/17 1/3 -15/32 1/2 -7/15 1/1 -6/13 1/1 -23/50 0/1 1/6 -17/37 1/3 -11/24 0/1 1/3 -5/11 1/3 -9/20 1/2 1/1 -4/9 1/1 -23/52 0/1 1/8 -19/43 1/5 -15/34 0/1 1/4 -26/59 1/3 -37/84 2/5 1/2 -11/25 1/1 -7/16 1/3 1/2 -31/71 1/3 -55/126 2/5 1/2 -24/55 1/3 -17/39 1/3 -27/62 1/3 1/2 -10/23 1/3 -13/30 1/2 -16/37 3/5 -3/7 1/1 -14/33 -1/3 -11/26 0/1 1/6 -30/71 1/3 -19/45 1/3 -8/19 1/3 -5/12 1/3 1/2 -7/17 1/1 -9/22 2/3 1/1 -2/5 1/3 -11/28 1/2 -9/23 3/5 -7/18 1/2 1/1 -5/13 1/1 -18/47 1/1 -13/34 0/1 1/0 -8/21 1/3 -19/50 0/1 1/2 -11/29 1/3 -3/8 0/1 1/2 -7/19 3/5 -25/68 3/5 2/3 -18/49 5/7 -11/30 0/1 1/2 -4/11 3/5 -9/25 1/1 -14/39 1/1 -5/14 1/1 1/0 -11/31 -1/1 -6/17 1/3 -1/3 1/1 -7/22 0/1 1/2 -13/41 1/1 -6/19 1/1 -5/16 1/2 1/1 -9/29 3/5 -22/71 1/1 -13/42 2/3 3/4 -4/13 1/1 -3/10 1/1 1/0 -8/27 1/1 -37/125 -1/1 -29/98 0/1 1/0 -21/71 -1/1 -13/44 -1/2 0/1 -5/17 -1/1 -7/24 0/1 -9/31 1/5 -2/7 1/3 -7/25 1/1 -33/118 1/1 -26/93 1/1 -19/68 2/1 1/0 -12/43 1/3 -5/18 2/3 1/1 -8/29 1/1 -11/40 2/1 1/0 -14/51 1/1 -3/11 1/1 -13/48 1/1 1/0 -10/37 -1/1 -7/26 2/1 1/0 -4/15 -1/1 -9/34 -1/1 -2/3 -14/53 -3/5 -19/72 -1/2 -2/5 -5/19 -1/3 -1/4 0/1 1/2 -6/25 1/1 -5/21 1/1 -4/17 1/1 -7/30 0/1 1/0 -24/103 1/3 -17/73 1/1 -10/43 1/1 -3/13 -1/1 -5/22 0/1 -7/31 1/7 -2/9 1/3 -5/23 1/3 -13/60 3/8 2/5 -8/37 1/3 -3/14 1/3 1/2 -1/5 1/1 -3/16 0/1 1/3 -11/59 1/3 -19/102 1/4 2/7 -8/43 1/3 -5/27 1/1 -7/38 0/1 1/0 -2/11 1/3 -5/28 2/5 1/2 -3/17 1/3 -7/40 1/3 1/2 -11/63 1/3 -4/23 1/3 -5/29 5/11 -6/35 11/23 -1/6 1/2 2/3 -3/19 1/1 -2/13 1/1 -3/20 1/1 -1/7 1/1 -3/22 0/1 1/2 -2/15 1/3 -5/38 1/3 1/2 -3/23 1/3 -4/31 7/15 -1/8 1/2 3/5 0/1 1/1 1/9 1/1 3/26 0/1 1/4 2/17 1/3 3/25 1/1 1/8 1/2 1/1 2/15 1/1 1/7 1/1 2/13 3/1 1/6 3/1 1/0 5/29 1/0 9/52 -17/1 1/0 4/23 -7/1 3/17 -1/1 2/11 -1/1 3/16 0/1 1/0 4/21 -1/1 5/26 -1/4 0/1 1/5 1/1 3/14 1/1 5/23 1/1 2/9 1/1 1/4 2/1 1/0 7/27 1/0 13/50 -24/1 1/0 6/23 -11/1 5/19 -5/1 9/34 -3/1 -2/1 4/15 -1/1 7/26 -1/1 1/0 3/11 -1/1 11/40 1/0 8/29 -3/1 5/18 -2/1 1/0 12/43 -1/1 19/68 -2/1 1/0 7/25 -1/1 2/7 -1/1 5/17 1/1 13/44 -3/1 1/0 8/27 -1/1 3/10 -1/1 0/1 7/23 -1/3 4/13 0/1 9/29 1/3 5/16 0/1 1/2 16/51 1/1 11/35 1/1 6/19 1/1 7/22 0/1 1/2 1/3 1/1 6/17 1/1 5/14 4/1 1/0 9/25 1/0 4/11 -3/1 11/30 -2/1 1/0 18/49 -1/1 7/19 -1/1 3/8 -1/1 1/0 5/13 -1/1 7/18 -1/1 -4/5 16/41 -1/1 25/64 -2/3 -1/2 9/23 -1/1 2/5 -1/1 5/12 0/1 8/19 1/7 11/26 0/1 1/4 3/7 1/3 13/30 2/3 1/1 23/53 1/1 10/23 1/1 17/39 1/1 24/55 -1/1 31/71 0/1 38/87 1/5 7/16 0/1 1/2 18/41 1/1 11/25 1/1 15/34 0/1 1/2 4/9 1/1 5/11 1/1 16/35 1/0 11/24 1/1 1/0 6/13 1/1 1/2 0/1 1/0 7/13 -1/5 6/11 0/1 11/20 0/1 1/10 5/9 1/5 19/34 2/9 1/4 33/59 3/13 14/25 3/11 23/41 1/3 9/16 2/7 1/3 13/23 1/3 30/53 1/1 17/30 0/1 1/2 4/7 1/3 15/26 2/5 1/2 11/19 1/3 7/12 1/2 2/3 3/5 1/1 14/23 1/1 39/64 1/2 1/1 25/41 1/1 11/18 1/2 2/3 8/13 1/1 13/21 1/1 18/29 1/1 5/8 1/1 2/1 7/11 1/1 16/25 5/3 9/14 2/1 1/0 11/17 1/1 24/37 -1/1 13/20 1/1 1/0 15/23 1/1 2/3 -1/1 7/10 0/1 12/17 1/5 29/41 1/5 17/24 0/1 1/4 22/31 1/3 27/38 0/1 1/4 32/45 1/3 5/7 1/3 18/25 1/1 31/43 -1/1 13/18 0/1 1/4 8/11 1/1 19/26 0/1 1/4 30/41 1/3 11/15 1/3 36/49 1/3 25/34 1/3 3/8 14/19 1/3 3/4 1/2 1/1 10/13 1/1 27/35 1/1 17/22 2/3 3/4 24/31 1/1 7/9 1/1 18/23 1/1 29/37 1/1 11/14 8/9 1/1 15/19 1/1 4/5 1/1 5/6 1/1 1/0 21/25 -3/1 16/19 -1/1 27/32 -1/1 -1/2 11/13 -1/1 17/20 0/1 1/0 6/7 1/1 13/15 1/1 20/23 1/1 7/8 0/1 1/0 15/17 -1/1 8/9 0/1 17/19 1/3 9/10 0/1 1/2 1/1 1/1 9/8 1/0 17/15 -1/1 25/22 0/1 1/0 8/7 1/1 15/13 1/1 7/6 0/1 1/1 13/11 1/1 19/16 1/1 1/0 25/21 1/1 31/26 5/1 1/0 6/5 -1/1 5/4 1/2 1/1 19/15 1/1 33/26 1/1 13/12 14/11 1/1 37/29 1/1 23/18 4/3 3/2 32/25 1/1 9/7 1/1 22/17 7/5 13/10 3/2 2/1 30/23 9/5 17/13 1/1 38/29 1/1 21/16 3/2 2/1 4/3 3/1 31/23 -3/1 27/20 0/1 1/0 23/17 1/1 19/14 1/1 1/0 53/39 1/1 87/64 0/1 1/0 34/25 1/1 15/11 1/1 11/8 0/1 1/0 18/13 5/3 79/57 2/1 61/44 2/1 17/8 43/31 7/3 68/49 7/3 25/18 2/1 3/1 57/41 3/1 32/23 1/1 39/28 2/1 1/0 7/5 3/1 24/17 5/1 41/29 5/1 58/41 5/1 17/12 6/1 1/0 10/7 1/0 23/16 -6/1 1/0 59/41 -5/1 36/25 -5/1 13/9 -3/1 3/2 0/1 1/0 14/9 -1/1 39/25 -1/1 25/16 -2/1 1/0 61/39 -1/1 36/23 -1/1 11/7 -1/1 63/40 -1/1 -1/2 52/33 -1/2 93/59 -1/3 41/26 -1/2 0/1 30/19 -1/3 19/12 0/1 1/0 46/29 -1/3 27/17 1/1 62/39 1/1 35/22 -1/1 1/0 8/5 -1/1 21/13 0/1 34/21 1/5 13/8 0/1 1/2 18/11 1/1 41/25 1/1 105/64 1/1 1/0 169/103 1/0 64/39 -1/1 23/14 0/1 1/0 5/3 1/1 32/19 1/1 59/35 1/1 27/16 1/1 4/3 49/29 5/3 22/13 1/1 83/49 1/1 61/36 2/1 1/0 39/23 1/1 56/33 1/1 73/43 5/3 17/10 2/1 1/0 63/37 1/1 46/27 1/1 29/17 3/1 70/41 3/1 41/24 2/1 1/0 12/7 3/1 43/25 1/0 31/18 -4/1 1/0 19/11 -1/1 7/4 1/1 1/0 16/9 1/1 57/32 3/2 2/1 41/23 1/1 25/14 3/2 2/1 34/19 1/1 43/24 2/1 1/0 9/5 3/1 11/6 1/0 13/7 -3/1 15/8 -2/1 1/0 2/1 -1/1 13/6 1/2 2/3 11/5 1/1 9/4 1/1 2/1 25/11 1/1 16/7 3/1 23/10 1/1 1/0 53/23 1/1 83/36 1/0 30/13 1/1 97/42 2/1 1/0 67/29 1/1 37/16 2/1 1/0 44/19 7/1 7/3 1/1 40/17 3/1 33/14 2/1 1/0 59/25 3/1 26/11 3/1 97/41 3/1 71/30 3/1 1/0 45/19 3/1 19/8 4/1 1/0 12/5 1/0 29/12 -6/1 1/0 75/31 -5/1 121/50 -5/1 1/0 46/19 -5/1 17/7 -3/1 5/2 -1/1 1/0 18/7 -1/1 49/19 -1/1 31/12 -1/1 -6/7 13/5 -1/1 34/13 -1/1 21/8 -1/2 0/1 71/27 -1/1 50/19 -1/1 79/30 -1/2 0/1 29/11 -1/1 37/14 -1/1 8/3 -1/1 35/13 -1/5 27/10 0/1 1/0 100/37 1/1 273/101 1/0 173/64 -1/1 1/0 73/27 -1/1 46/17 -1/1 19/7 -1/1 11/4 -1/4 0/1 25/9 0/1 39/14 0/1 1/14 14/5 1/5 31/11 1/3 48/17 1/3 17/6 0/1 1/2 20/7 -1/1 23/8 0/1 1/2 26/9 1/1 3/1 1/1 13/4 1/0 23/7 -3/1 56/17 -1/1 33/10 -3/1 -2/1 43/13 -3/1 53/16 -2/1 1/0 63/19 -3/1 10/3 -1/1 37/11 -1/1 27/8 -1/1 1/0 44/13 1/1 105/31 1/0 166/49 -11/1 61/18 -5/1 1/0 17/5 -1/1 58/17 -3/1 41/12 -2/1 -3/2 24/7 -1/1 79/23 1/0 134/39 -3/1 55/16 -2/1 1/0 86/25 -1/1 31/9 -1/1 69/20 -2/1 1/0 38/11 -3/1 7/2 -1/1 1/0 18/5 -1/3 47/13 -1/3 29/8 -1/4 0/1 40/11 0/1 11/3 1/1 48/13 -5/1 85/23 -3/1 122/33 -1/1 37/10 -2/1 1/0 100/27 -1/1 63/17 -1/1 26/7 -1/1 67/18 -1/1 108/29 -1/1 41/11 -1/1 15/4 -1/2 0/1 49/13 -1/3 34/9 -1/1 53/14 -1/2 0/1 125/33 -1/3 72/19 -1/1 19/5 -1/3 61/16 -1/3 -1/4 42/11 -1/5 23/6 -1/6 0/1 27/7 0/1 31/8 0/1 1/8 4/1 1/1 17/4 0/1 1/2 47/11 1/3 30/7 1/1 43/10 2/3 3/4 13/3 1/1 9/2 1/1 1/0 23/5 3/1 14/3 1/0 33/7 -3/1 19/4 -2/1 1/0 24/5 1/1 53/11 -1/1 29/6 -1/1 1/0 5/1 -1/1 31/6 -1/6 0/1 57/11 0/1 26/5 1/5 21/4 0/1 1/1 37/7 3/1 16/3 -1/1 43/8 1/0 70/13 -3/1 27/5 -1/1 11/2 -1/1 0/1 28/5 -1/1 101/18 -1/1 73/13 -1/1 45/8 -2/3 -1/2 17/3 -1/1 57/10 -1/2 0/1 40/7 -1/3 63/11 -1/3 23/4 -1/4 0/1 29/5 0/1 35/6 0/1 1/6 6/1 1/1 19/3 -1/1 32/5 -1/1 45/7 -1/1 58/9 -1/1 13/2 -1/2 0/1 7/1 1/1 15/2 1/0 23/3 -1/1 8/1 -1/1 17/2 0/1 1/0 9/1 1/1 19/2 0/1 1/0 10/1 -1/1 11/1 1/1 1/0 0/1 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(969,458,256,121) (-1/2,-8/17) -> (34/9,53/14) Hyperbolic Matrix(2371,1114,1028,483) (-8/17,-15/32) -> (83/36,30/13) Hyperbolic Matrix(2941,1376,1276,597) (-15/32,-7/15) -> (53/23,83/36) Hyperbolic Matrix(697,324,-1650,-767) (-7/15,-6/13) -> (-30/71,-19/45) Hyperbolic Matrix(755,348,128,59) (-6/13,-23/50) -> (35/6,6/1) Hyperbolic Matrix(4279,1968,2520,1159) (-23/50,-17/37) -> (73/43,17/10) Hyperbolic Matrix(375,172,-2008,-921) (-17/37,-11/24) -> (-3/16,-11/59) Hyperbolic Matrix(437,200,378,173) (-11/24,-5/11) -> (15/13,7/6) Hyperbolic Matrix(559,252,122,55) (-5/11,-9/20) -> (9/2,23/5) Hyperbolic Matrix(187,84,-866,-389) (-9/20,-4/9) -> (-8/37,-3/14) Hyperbolic Matrix(487,216,124,55) (-4/9,-23/52) -> (31/8,4/1) Hyperbolic Matrix(181,80,1586,701) (-23/52,-19/43) -> (1/9,3/26) Hyperbolic Matrix(1037,458,120,53) (-19/43,-15/34) -> (17/2,9/1) Hyperbolic Matrix(2005,884,-7174,-3163) (-15/34,-26/59) -> (-26/93,-19/68) Hyperbolic Matrix(1639,722,5228,2303) (-26/59,-37/84) -> (5/16,16/51) Hyperbolic Matrix(3279,1444,2432,1071) (-37/84,-11/25) -> (31/23,27/20) Hyperbolic Matrix(301,132,-846,-371) (-11/25,-7/16) -> (-5/14,-11/31) Hyperbolic Matrix(119,52,968,423) (-7/16,-31/71) -> (3/25,1/8) Hyperbolic Matrix(15329,6692,6636,2897) (-31/71,-55/126) -> (97/42,67/29) Hyperbolic Matrix(19909,8690,5794,2529) (-55/126,-24/55) -> (134/39,55/16) Hyperbolic Matrix(2293,1000,360,157) (-24/55,-17/39) -> (19/3,32/5) Hyperbolic Matrix(2291,998,1926,839) (-17/39,-27/62) -> (19/16,25/21) Hyperbolic Matrix(239,104,-1804,-785) (-27/62,-10/23) -> (-2/15,-5/38) Hyperbolic Matrix(779,338,-1800,-781) (-10/23,-13/30) -> (-13/30,-16/37) Parabolic Matrix(2333,1008,1678,725) (-16/37,-3/7) -> (57/41,32/23) Hyperbolic Matrix(771,328,590,251) (-3/7,-14/33) -> (30/23,17/13) Hyperbolic Matrix(1651,700,592,251) (-14/33,-11/26) -> (39/14,14/5) Hyperbolic Matrix(4419,1868,1294,547) (-11/26,-30/71) -> (58/17,41/12) Hyperbolic Matrix(1703,718,472,199) (-19/45,-8/19) -> (18/5,47/13) Hyperbolic Matrix(177,74,232,97) (-8/19,-5/12) -> (3/4,10/13) Hyperbolic Matrix(289,120,118,49) (-5/12,-7/17) -> (17/7,5/2) Hyperbolic Matrix(405,166,344,141) (-7/17,-9/22) -> (7/6,13/11) Hyperbolic Matrix(289,118,-1036,-423) (-9/22,-2/5) -> (-12/43,-5/18) Hyperbolic Matrix(279,110,1012,399) (-2/5,-11/28) -> (11/40,8/29) Hyperbolic Matrix(337,132,1228,481) (-11/28,-9/23) -> (3/11,11/40) Hyperbolic Matrix(277,108,-890,-347) (-9/23,-7/18) -> (-5/16,-9/29) Hyperbolic Matrix(165,64,446,173) (-7/18,-5/13) -> (7/19,3/8) Hyperbolic Matrix(1491,572,550,211) (-5/13,-18/47) -> (46/17,19/7) Hyperbolic Matrix(883,338,-4078,-1561) (-18/47,-13/34) -> (-13/60,-8/37) Hyperbolic Matrix(1429,546,882,337) (-13/34,-8/21) -> (34/21,13/8) Hyperbolic Matrix(657,250,770,293) (-8/21,-19/50) -> (17/20,6/7) Hyperbolic Matrix(1427,542,-4826,-1833) (-19/50,-11/29) -> (-21/71,-13/44) Hyperbolic Matrix(53,20,-326,-123) (-11/29,-3/8) -> (-1/6,-3/19) Hyperbolic Matrix(161,60,110,41) (-3/8,-7/19) -> (13/9,3/2) Hyperbolic Matrix(3551,1306,1074,395) (-7/19,-25/68) -> (33/10,43/13) Hyperbolic Matrix(2797,1028,536,197) (-25/68,-18/49) -> (26/5,21/4) Hyperbolic Matrix(1291,474,-4622,-1697) (-18/49,-11/30) -> (-19/68,-12/43) Hyperbolic Matrix(377,138,-1396,-511) (-11/30,-4/11) -> (-10/37,-7/26) Hyperbolic Matrix(477,172,746,269) (-4/11,-9/25) -> (7/11,16/25) Hyperbolic Matrix(1329,478,848,305) (-9/25,-14/39) -> (36/23,11/7) Hyperbolic Matrix(1483,532,1168,419) (-14/39,-5/14) -> (33/26,14/11) Hyperbolic Matrix(843,298,314,111) (-11/31,-6/17) -> (8/3,35/13) Hyperbolic Matrix(473,166,208,73) (-6/17,-1/3) -> (25/11,16/7) Hyperbolic Matrix(351,112,398,127) (-1/3,-7/22) -> (7/8,15/17) Hyperbolic Matrix(2991,950,1294,411) (-7/22,-13/41) -> (67/29,37/16) Hyperbolic Matrix(2837,898,496,157) (-13/41,-6/19) -> (40/7,63/11) Hyperbolic Matrix(793,250,498,157) (-6/19,-5/16) -> (35/22,8/5) Hyperbolic Matrix(2859,886,-9658,-2993) (-9/29,-22/71) -> (-8/27,-37/125) Hyperbolic Matrix(297,92,2560,793) (-22/71,-13/42) -> (3/26,2/17) Hyperbolic Matrix(343,106,1084,335) (-13/42,-4/13) -> (6/19,7/22) Hyperbolic Matrix(245,74,96,29) (-4/13,-3/10) -> (5/2,18/7) Hyperbolic Matrix(47,14,292,87) (-3/10,-8/27) -> (2/13,1/6) Hyperbolic Matrix(12799,3788,3862,1143) (-37/125,-29/98) -> (53/16,63/19) Hyperbolic Matrix(12025,3558,7628,2257) (-29/98,-21/71) -> (93/59,41/26) Hyperbolic Matrix(339,100,-1834,-541) (-13/44,-5/17) -> (-5/27,-7/38) Hyperbolic Matrix(335,98,-1152,-337) (-5/17,-7/24) -> (-7/24,-9/31) Parabolic Matrix(1629,472,956,277) (-9/31,-2/7) -> (46/27,29/17) Hyperbolic Matrix(613,172,474,133) (-2/7,-7/25) -> (9/7,22/17) Hyperbolic Matrix(11139,3116,1984,555) (-7/25,-33/118) -> (101/18,73/13) Hyperbolic Matrix(12697,3550,2264,633) (-33/118,-26/93) -> (28/5,101/18) Hyperbolic Matrix(469,130,754,209) (-5/18,-8/29) -> (18/29,5/8) Hyperbolic Matrix(1453,400,1878,517) (-8/29,-11/40) -> (17/22,24/31) Hyperbolic Matrix(3187,876,2252,619) (-11/40,-14/51) -> (58/41,17/12) Hyperbolic Matrix(2109,578,748,205) (-14/51,-3/11) -> (31/11,48/17) Hyperbolic Matrix(2797,758,1214,329) (-3/11,-13/48) -> (23/10,53/23) Hyperbolic Matrix(1633,442,2516,681) (-13/48,-10/37) -> (24/37,13/20) Hyperbolic Matrix(231,62,652,175) (-7/26,-4/15) -> (6/17,5/14) Hyperbolic Matrix(649,172,1664,441) (-4/15,-9/34) -> (7/18,16/41) Hyperbolic Matrix(3653,966,1108,293) (-9/34,-14/53) -> (56/17,33/10) Hyperbolic Matrix(5129,1354,2216,585) (-14/53,-19/72) -> (37/16,44/19) Hyperbolic Matrix(1153,304,-6186,-1631) (-19/72,-5/19) -> (-11/59,-19/102) Hyperbolic Matrix(47,12,90,23) (-5/19,-1/4) -> (1/2,7/13) Hyperbolic Matrix(763,184,1074,259) (-1/4,-6/25) -> (22/31,27/38) Hyperbolic Matrix(359,86,-2058,-493) (-6/25,-5/21) -> (-11/63,-4/23) Hyperbolic Matrix(623,148,804,191) (-5/21,-4/17) -> (24/31,7/9) Hyperbolic Matrix(445,104,1596,373) (-4/17,-7/30) -> (5/18,12/43) Hyperbolic Matrix(1861,434,4258,993) (-7/30,-24/103) -> (38/87,7/16) Hyperbolic Matrix(18131,4224,4786,1115) (-24/103,-17/73) -> (125/33,72/19) Hyperbolic Matrix(1641,382,5228,1217) (-17/73,-10/43) -> (16/51,11/35) Hyperbolic Matrix(2393,556,1416,329) (-10/43,-3/13) -> (49/29,22/13) Hyperbolic Matrix(219,50,-968,-221) (-3/13,-5/22) -> (-5/22,-7/31) Parabolic Matrix(1669,376,1052,237) (-7/31,-2/9) -> (46/29,27/17) Hyperbolic Matrix(477,104,610,133) (-2/9,-5/23) -> (7/9,18/23) Hyperbolic Matrix(4299,932,1822,395) (-5/23,-13/60) -> (33/14,59/25) Hyperbolic Matrix(301,64,174,37) (-3/14,-1/5) -> (19/11,7/4) Hyperbolic Matrix(127,24,418,79) (-1/5,-3/16) -> (3/10,7/23) Hyperbolic Matrix(6475,1206,1004,187) (-19/102,-8/43) -> (58/9,13/2) Hyperbolic Matrix(1335,248,1588,295) (-8/43,-5/27) -> (21/25,16/19) Hyperbolic Matrix(207,38,1084,199) (-7/38,-2/11) -> (4/21,5/26) Hyperbolic Matrix(581,104,1324,237) (-2/11,-5/28) -> (7/16,18/41) Hyperbolic Matrix(619,110,332,59) (-5/28,-3/17) -> (13/7,15/8) Hyperbolic Matrix(205,36,-1566,-275) (-3/17,-7/40) -> (-5/38,-3/23) Hyperbolic Matrix(4409,770,2800,489) (-7/40,-11/63) -> (11/7,63/40) Hyperbolic Matrix(1315,228,248,43) (-4/23,-5/29) -> (37/7,16/3) Hyperbolic Matrix(1521,262,656,113) (-5/29,-6/35) -> (44/19,7/3) Hyperbolic Matrix(491,84,1888,323) (-6/35,-1/6) -> (13/50,6/23) Hyperbolic Matrix(725,114,566,89) (-3/19,-2/13) -> (32/25,9/7) Hyperbolic Matrix(641,98,242,37) (-2/13,-3/20) -> (37/14,8/3) Hyperbolic Matrix(839,124,318,47) (-3/20,-1/7) -> (29/11,37/14) Hyperbolic Matrix(1183,162,314,43) (-1/7,-3/22) -> (15/4,49/13) Hyperbolic Matrix(549,74,1966,265) (-3/22,-2/15) -> (12/43,19/68) Hyperbolic Matrix(1053,136,782,101) (-3/23,-4/31) -> (4/3,31/23) Hyperbolic Matrix(311,40,1796,231) (-4/31,-1/8) -> (9/52,4/23) Hyperbolic Matrix(115,14,156,19) (-1/8,0/1) -> (14/19,3/4) Hyperbolic Matrix(585,-62,368,-39) (0/1,1/9) -> (27/17,62/39) Hyperbolic Matrix(4495,-536,1216,-145) (2/17,3/25) -> (85/23,122/33) Hyperbolic Matrix(663,-86,902,-117) (1/8,2/15) -> (36/49,25/34) Hyperbolic Matrix(299,-42,178,-25) (2/15,1/7) -> (5/3,32/19) Hyperbolic Matrix(501,-76,178,-27) (1/7,2/13) -> (14/5,31/11) Hyperbolic Matrix(291,-50,1682,-289) (1/6,5/29) -> (5/29,9/52) Parabolic Matrix(1069,-188,290,-51) (4/23,3/17) -> (11/3,48/13) Hyperbolic Matrix(577,-104,172,-31) (3/17,2/11) -> (10/3,37/11) Hyperbolic Matrix(229,-42,518,-95) (2/11,3/16) -> (15/34,4/9) Hyperbolic Matrix(485,-92,58,-11) (3/16,4/21) -> (8/1,17/2) Hyperbolic Matrix(285,-56,56,-11) (5/26,1/5) -> (5/1,31/6) Hyperbolic Matrix(85,-18,392,-83) (1/5,3/14) -> (3/14,5/23) Parabolic Matrix(473,-104,614,-135) (5/23,2/9) -> (10/13,27/35) Hyperbolic Matrix(83,-20,54,-13) (2/9,1/4) -> (3/2,14/9) Hyperbolic Matrix(379,-98,1458,-377) (1/4,7/27) -> (7/27,13/50) Parabolic Matrix(1025,-268,1832,-479) (6/23,5/19) -> (33/59,14/25) Hyperbolic Matrix(2179,-576,1290,-341) (5/19,9/34) -> (27/16,49/29) Hyperbolic Matrix(2687,-712,1936,-513) (9/34,4/15) -> (68/49,25/18) Hyperbolic Matrix(321,-86,698,-187) (4/15,7/26) -> (11/24,6/13) Hyperbolic Matrix(1259,-340,374,-101) (7/26,3/11) -> (37/11,27/8) Hyperbolic Matrix(1091,-302,1492,-413) (8/29,5/18) -> (19/26,30/41) Hyperbolic Matrix(1381,-386,1542,-431) (19/68,7/25) -> (17/19,9/10) Hyperbolic Matrix(609,-172,478,-135) (7/25,2/7) -> (14/11,37/29) Hyperbolic Matrix(341,-100,474,-139) (2/7,5/17) -> (5/7,18/25) Hyperbolic Matrix(1785,-526,526,-155) (5/17,13/44) -> (61/18,17/5) Hyperbolic Matrix(3673,-1086,2310,-683) (13/44,8/27) -> (62/39,35/22) Hyperbolic Matrix(577,-172,104,-31) (8/27,3/10) -> (11/2,28/5) Hyperbolic Matrix(209,-64,676,-207) (7/23,4/13) -> (4/13,9/29) Parabolic Matrix(2309,-718,1296,-403) (9/29,5/16) -> (57/32,41/23) Hyperbolic Matrix(1215,-382,1708,-537) (11/35,6/19) -> (32/45,5/7) Hyperbolic Matrix(2009,-642,1186,-379) (7/22,1/3) -> (83/49,61/36) Hyperbolic Matrix(705,-248,452,-159) (1/3,6/17) -> (14/9,39/25) Hyperbolic Matrix(1377,-494,800,-287) (5/14,9/25) -> (43/25,31/18) Hyperbolic Matrix(773,-280,450,-163) (9/25,4/11) -> (12/7,43/25) Hyperbolic Matrix(847,-310,1194,-437) (4/11,11/30) -> (17/24,22/31) Hyperbolic Matrix(5371,-1972,2040,-749) (11/30,18/49) -> (50/19,79/30) Hyperbolic Matrix(1317,-484,3034,-1115) (18/49,7/19) -> (23/53,10/23) Hyperbolic Matrix(221,-84,50,-19) (3/8,5/13) -> (13/3,9/2) Hyperbolic Matrix(637,-246,246,-95) (5/13,7/18) -> (31/12,13/5) Hyperbolic Matrix(1419,-554,146,-57) (16/41,25/64) -> (19/2,10/1) Hyperbolic Matrix(1663,-650,1466,-573) (25/64,9/23) -> (17/15,25/22) Hyperbolic Matrix(757,-298,536,-211) (9/23,2/5) -> (24/17,41/29) Hyperbolic Matrix(121,-50,288,-119) (2/5,5/12) -> (5/12,8/19) Parabolic Matrix(503,-212,382,-161) (8/19,11/26) -> (21/16,4/3) Hyperbolic Matrix(405,-172,478,-203) (11/26,3/7) -> (11/13,17/20) Hyperbolic Matrix(1257,-544,238,-103) (3/7,13/30) -> (21/4,37/7) Hyperbolic Matrix(3201,-1388,1898,-823) (13/30,23/53) -> (59/35,27/16) Hyperbolic Matrix(2463,-1072,664,-289) (10/23,17/39) -> (63/17,26/7) Hyperbolic Matrix(995,-434,94,-41) (17/39,24/55) -> (10/1,11/1) Hyperbolic Matrix(4403,-1922,10082,-4401) (24/55,31/71) -> (31/71,38/87) Parabolic Matrix(3401,-1494,2174,-955) (18/41,11/25) -> (61/39,36/23) Hyperbolic Matrix(259,-114,284,-125) (11/25,15/34) -> (9/10,1/1) Hyperbolic Matrix(491,-222,188,-85) (4/9,5/11) -> (13/5,34/13) Hyperbolic Matrix(3827,-1748,2428,-1109) (5/11,16/35) -> (52/33,93/59) Hyperbolic Matrix(3453,-1580,2192,-1003) (16/35,11/24) -> (63/40,52/33) Hyperbolic Matrix(557,-258,326,-151) (6/13,1/2) -> (41/24,12/7) Hyperbolic Matrix(641,-346,176,-95) (7/13,6/11) -> (40/11,11/3) Hyperbolic Matrix(1119,-614,308,-169) (6/11,11/20) -> (29/8,40/11) Hyperbolic Matrix(943,-520,350,-193) (11/20,5/9) -> (35/13,27/10) Hyperbolic Matrix(983,-548,174,-97) (5/9,19/34) -> (45/8,17/3) Hyperbolic Matrix(6935,-3878,5102,-2853) (19/34,33/59) -> (53/39,87/64) Hyperbolic Matrix(457,-256,698,-391) (14/25,23/41) -> (15/23,2/3) Hyperbolic Matrix(1937,-1088,1394,-783) (23/41,9/16) -> (25/18,57/41) Hyperbolic Matrix(717,-404,914,-515) (9/16,13/23) -> (29/37,11/14) Hyperbolic Matrix(3041,-1720,564,-319) (13/23,30/53) -> (70/13,27/5) Hyperbolic Matrix(4797,-2716,1390,-787) (30/53,17/30) -> (69/20,38/11) Hyperbolic Matrix(1431,-812,608,-345) (17/30,4/7) -> (40/17,33/14) Hyperbolic Matrix(993,-572,776,-447) (4/7,15/26) -> (23/18,32/25) Hyperbolic Matrix(1531,-884,646,-373) (15/26,11/19) -> (45/19,19/8) Hyperbolic Matrix(817,-474,474,-275) (11/19,7/12) -> (31/18,19/11) Hyperbolic Matrix(235,-138,172,-101) (7/12,3/5) -> (15/11,11/8) Hyperbolic Matrix(403,-244,550,-333) (3/5,14/23) -> (30/41,11/15) Hyperbolic Matrix(5727,-3488,2366,-1441) (14/23,39/64) -> (121/50,46/19) Hyperbolic Matrix(6929,-4224,4224,-2575) (39/64,25/41) -> (41/25,105/64) Hyperbolic Matrix(2005,-1224,1394,-851) (25/41,11/18) -> (23/16,59/41) Hyperbolic Matrix(885,-542,338,-207) (11/18,8/13) -> (34/13,21/8) Hyperbolic Matrix(547,-338,882,-545) (8/13,13/21) -> (13/21,18/29) Parabolic Matrix(187,-118,84,-53) (5/8,7/11) -> (11/5,9/4) Hyperbolic Matrix(705,-452,248,-159) (16/25,9/14) -> (17/6,20/7) Hyperbolic Matrix(785,-506,166,-107) (9/14,11/17) -> (33/7,19/4) Hyperbolic Matrix(3961,-2568,1072,-695) (11/17,24/37) -> (48/13,85/23) Hyperbolic Matrix(4283,-2790,1770,-1153) (13/20,15/23) -> (75/31,121/50) Hyperbolic Matrix(141,-98,200,-139) (2/3,7/10) -> (7/10,12/17) Parabolic Matrix(3127,-2210,1156,-817) (12/17,29/41) -> (73/27,46/17) Hyperbolic Matrix(2489,-1762,1592,-1127) (29/41,17/24) -> (25/16,61/39) Hyperbolic Matrix(5505,-3914,2384,-1695) (27/38,32/45) -> (30/13,97/42) Hyperbolic Matrix(2687,-1936,712,-513) (18/25,31/43) -> (49/13,34/9) Hyperbolic Matrix(3397,-2450,2450,-1767) (31/43,13/18) -> (61/44,43/31) Hyperbolic Matrix(749,-542,474,-343) (13/18,8/11) -> (30/19,19/12) Hyperbolic Matrix(923,-674,708,-517) (8/11,19/26) -> (13/10,30/23) Hyperbolic Matrix(3371,-2476,2000,-1469) (11/15,36/49) -> (32/19,59/35) Hyperbolic Matrix(1057,-778,1254,-923) (25/34,14/19) -> (16/19,27/32) Hyperbolic Matrix(2993,-2310,1766,-1363) (27/35,17/22) -> (61/36,39/23) Hyperbolic Matrix(2689,-2106,1868,-1463) (18/23,29/37) -> (59/41,36/25) Hyperbolic Matrix(1275,-1004,494,-389) (11/14,15/19) -> (49/19,31/12) Hyperbolic Matrix(587,-466,228,-181) (15/19,4/5) -> (18/7,49/19) Hyperbolic Matrix(131,-108,74,-61) (4/5,5/6) -> (7/4,16/9) Hyperbolic Matrix(925,-776,776,-651) (5/6,21/25) -> (25/21,31/26) Hyperbolic Matrix(1401,-1184,368,-311) (27/32,11/13) -> (19/5,61/16) Hyperbolic Matrix(1113,-962,656,-567) (6/7,13/15) -> (39/23,56/33) Hyperbolic Matrix(2003,-1738,582,-505) (13/15,20/23) -> (86/25,31/9) Hyperbolic Matrix(2273,-1978,1672,-1455) (20/23,7/8) -> (87/64,34/25) Hyperbolic Matrix(289,-256,324,-287) (15/17,8/9) -> (8/9,17/19) Parabolic Matrix(145,-162,128,-143) (1/1,9/8) -> (9/8,17/15) Parabolic Matrix(2943,-3346,796,-905) (25/22,8/7) -> (122/33,37/10) Hyperbolic Matrix(1185,-1364,854,-983) (8/7,15/13) -> (43/31,68/49) Hyperbolic Matrix(1057,-1254,778,-923) (13/11,19/16) -> (19/14,53/39) Hyperbolic Matrix(4621,-5512,1364,-1627) (31/26,6/5) -> (166/49,61/18) Hyperbolic Matrix(107,-132,30,-37) (6/5,5/4) -> (7/2,18/5) Hyperbolic Matrix(571,-722,450,-569) (5/4,19/15) -> (19/15,33/26) Parabolic Matrix(1627,-2078,956,-1221) (37/29,23/18) -> (17/10,63/37) Hyperbolic Matrix(563,-730,118,-153) (22/17,13/10) -> (19/4,24/5) Hyperbolic Matrix(2693,-3528,1590,-2083) (17/13,38/29) -> (22/13,83/49) Hyperbolic Matrix(2383,-3126,882,-1157) (38/29,21/16) -> (27/10,100/37) Hyperbolic Matrix(1793,-2424,520,-703) (27/20,23/17) -> (31/9,69/20) Hyperbolic Matrix(563,-762,116,-157) (23/17,19/14) -> (29/6,5/1) Hyperbolic Matrix(663,-902,86,-117) (34/25,15/11) -> (23/3,8/1) Hyperbolic Matrix(185,-256,86,-119) (11/8,18/13) -> (2/1,13/6) Hyperbolic Matrix(2223,-3080,428,-593) (18/13,79/57) -> (57/11,26/5) Hyperbolic Matrix(4275,-5926,826,-1145) (79/57,61/44) -> (31/6,57/11) Hyperbolic Matrix(2431,-3384,426,-593) (32/23,39/28) -> (57/10,40/7) Hyperbolic Matrix(313,-436,28,-39) (39/28,7/5) -> (11/1,1/0) Hyperbolic Matrix(353,-498,56,-79) (7/5,24/17) -> (6/1,19/3) Hyperbolic Matrix(4731,-6692,2000,-2829) (41/29,58/41) -> (26/11,97/41) Hyperbolic Matrix(281,-400,196,-279) (17/12,10/7) -> (10/7,23/16) Parabolic Matrix(947,-1366,278,-401) (36/25,13/9) -> (17/5,58/17) Hyperbolic Matrix(1925,-3006,796,-1243) (39/25,25/16) -> (29/12,75/31) Hyperbolic Matrix(1701,-2684,950,-1499) (41/26,30/19) -> (34/19,43/24) Hyperbolic Matrix(907,-1438,316,-501) (19/12,46/29) -> (20/7,23/8) Hyperbolic Matrix(547,-882,338,-545) (8/5,21/13) -> (21/13,34/21) Parabolic Matrix(219,-358,52,-85) (13/8,18/11) -> (4/1,17/4) Hyperbolic Matrix(1843,-3020,1082,-1773) (18/11,41/25) -> (63/37,46/27) Hyperbolic Matrix(35291,-57902,13056,-21421) (105/64,169/103) -> (273/101,173/64) Hyperbolic Matrix(20947,-34372,7750,-12717) (169/103,64/39) -> (100/37,273/101) Hyperbolic Matrix(1261,-2070,438,-719) (64/39,23/14) -> (23/8,26/9) Hyperbolic Matrix(745,-1226,206,-339) (23/14,5/3) -> (47/13,29/8) Hyperbolic Matrix(2509,-4258,756,-1283) (56/33,73/43) -> (63/19,10/3) Hyperbolic Matrix(4283,-7310,1156,-1973) (29/17,70/41) -> (100/27,63/17) Hyperbolic Matrix(4319,-7376,1256,-2145) (70/41,41/24) -> (55/16,86/25) Hyperbolic Matrix(3533,-6292,954,-1699) (16/9,57/32) -> (37/10,100/27) Hyperbolic Matrix(1477,-2636,562,-1003) (41/23,25/14) -> (21/8,71/27) Hyperbolic Matrix(1025,-1832,268,-479) (25/14,34/19) -> (42/11,23/6) Hyperbolic Matrix(693,-1244,122,-219) (43/24,9/5) -> (17/3,57/10) Hyperbolic Matrix(133,-242,72,-131) (9/5,11/6) -> (11/6,13/7) Parabolic Matrix(401,-754,142,-267) (15/8,2/1) -> (48/17,17/6) Hyperbolic Matrix(321,-698,86,-187) (13/6,11/5) -> (41/11,15/4) Hyperbolic Matrix(229,-518,42,-95) (9/4,25/11) -> (27/5,11/2) Hyperbolic Matrix(629,-1444,186,-427) (16/7,23/10) -> (27/8,44/13) Hyperbolic Matrix(539,-1264,142,-333) (7/3,40/17) -> (72/19,19/5) Hyperbolic Matrix(1295,-3058,202,-477) (59/25,26/11) -> (32/5,45/7) Hyperbolic Matrix(9283,-21964,3434,-8125) (97/41,71/30) -> (173/64,73/27) Hyperbolic Matrix(2141,-5068,444,-1051) (71/30,45/19) -> (53/11,29/6) Hyperbolic Matrix(241,-576,100,-239) (19/8,12/5) -> (12/5,29/12) Parabolic Matrix(1103,-2672,258,-625) (46/19,17/7) -> (47/11,30/7) Hyperbolic Matrix(759,-1996,262,-689) (71/27,50/19) -> (26/9,3/1) Hyperbolic Matrix(2143,-5644,374,-985) (79/30,29/11) -> (63/11,23/4) Hyperbolic Matrix(119,-324,18,-49) (19/7,11/4) -> (13/2,7/1) Hyperbolic Matrix(451,-1250,162,-449) (11/4,25/9) -> (25/9,39/14) Parabolic Matrix(105,-338,32,-103) (3/1,13/4) -> (13/4,23/7) Parabolic Matrix(1069,-3520,222,-731) (23/7,56/17) -> (24/5,53/11) Hyperbolic Matrix(2689,-8904,710,-2351) (43/13,53/16) -> (53/14,125/33) Hyperbolic Matrix(6511,-22050,1922,-6509) (44/13,105/31) -> (105/31,166/49) Parabolic Matrix(661,-2262,154,-527) (41/12,24/7) -> (30/7,43/10) Hyperbolic Matrix(3635,-12482,1058,-3633) (24/7,79/23) -> (79/23,134/39) Parabolic Matrix(755,-2612,198,-685) (38/11,7/2) -> (61/16,42/11) Hyperbolic Matrix(2413,-8978,648,-2411) (26/7,67/18) -> (67/18,108/29) Parabolic Matrix(1943,-7238,302,-1125) (108/29,41/11) -> (45/7,58/9) Hyperbolic Matrix(379,-1458,98,-377) (23/6,27/7) -> (27/7,31/8) Parabolic Matrix(245,-1046,26,-111) (17/4,47/11) -> (9/1,19/2) Hyperbolic Matrix(865,-3724,154,-663) (43/10,13/3) -> (73/13,45/8) Hyperbolic Matrix(169,-784,36,-167) (23/5,14/3) -> (14/3,33/7) Parabolic Matrix(689,-3698,128,-687) (16/3,43/8) -> (43/8,70/13) Parabolic Matrix(291,-1682,50,-289) (23/4,29/5) -> (29/5,35/6) Parabolic Matrix(61,-450,8,-59) (7/1,15/2) -> (15/2,23/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,2,1) Matrix(969,458,256,121) -> Matrix(1,0,-4,1) Matrix(2371,1114,1028,483) -> Matrix(1,0,-2,1) Matrix(2941,1376,1276,597) -> Matrix(3,-2,2,-1) Matrix(697,324,-1650,-767) -> Matrix(1,0,2,1) Matrix(755,348,128,59) -> Matrix(1,0,0,1) Matrix(4279,1968,2520,1159) -> Matrix(11,-2,6,-1) Matrix(375,172,-2008,-921) -> Matrix(1,0,0,1) Matrix(437,200,378,173) -> Matrix(1,0,-2,1) Matrix(559,252,122,55) -> Matrix(3,-2,2,-1) Matrix(187,84,-866,-389) -> Matrix(3,-2,8,-5) Matrix(487,216,124,55) -> Matrix(1,0,0,1) Matrix(181,80,1586,701) -> Matrix(1,0,-4,1) Matrix(1037,458,120,53) -> Matrix(1,0,-4,1) Matrix(2005,884,-7174,-3163) -> Matrix(7,-2,4,-1) Matrix(1639,722,5228,2303) -> Matrix(5,-2,8,-3) Matrix(3279,1444,2432,1071) -> Matrix(5,-2,-2,1) Matrix(301,132,-846,-371) -> Matrix(1,0,-2,1) Matrix(119,52,968,423) -> Matrix(5,-2,8,-3) Matrix(15329,6692,6636,2897) -> Matrix(1,0,-2,1) Matrix(19909,8690,5794,2529) -> Matrix(9,-4,-2,1) Matrix(2293,1000,360,157) -> Matrix(5,-2,-2,1) Matrix(2291,998,1926,839) -> Matrix(1,0,-2,1) Matrix(239,104,-1804,-785) -> Matrix(1,0,0,1) Matrix(779,338,-1800,-781) -> Matrix(9,-4,16,-7) Matrix(2333,1008,1678,725) -> Matrix(7,-4,2,-1) Matrix(771,328,590,251) -> Matrix(3,-2,2,-1) Matrix(1651,700,592,251) -> Matrix(1,0,8,1) Matrix(4419,1868,1294,547) -> Matrix(9,-2,-4,1) Matrix(1703,718,472,199) -> Matrix(1,0,-6,1) Matrix(177,74,232,97) -> Matrix(5,-2,8,-3) Matrix(289,120,118,49) -> Matrix(5,-2,-2,1) Matrix(405,166,344,141) -> Matrix(3,-2,2,-1) Matrix(289,118,-1036,-423) -> Matrix(1,0,0,1) Matrix(279,110,1012,399) -> Matrix(9,-4,-2,1) Matrix(337,132,1228,481) -> Matrix(3,-2,2,-1) Matrix(277,108,-890,-347) -> Matrix(1,0,0,1) Matrix(165,64,446,173) -> Matrix(1,0,-2,1) Matrix(1491,572,550,211) -> Matrix(1,0,-2,1) Matrix(883,338,-4078,-1561) -> Matrix(3,-2,8,-5) Matrix(1429,546,882,337) -> Matrix(1,0,2,1) Matrix(657,250,770,293) -> Matrix(1,0,-2,1) Matrix(1427,542,-4826,-1833) -> Matrix(1,0,-4,1) Matrix(53,20,-326,-123) -> Matrix(5,-2,8,-3) Matrix(161,60,110,41) -> Matrix(1,0,-2,1) Matrix(3551,1306,1074,395) -> Matrix(1,0,-2,1) Matrix(2797,1028,536,197) -> Matrix(3,-2,8,-5) Matrix(1291,474,-4622,-1697) -> Matrix(3,-2,2,-1) Matrix(377,138,-1396,-511) -> Matrix(3,-2,2,-1) Matrix(477,172,746,269) -> Matrix(5,-4,4,-3) Matrix(1329,478,848,305) -> Matrix(3,-2,-4,3) Matrix(1483,532,1168,419) -> Matrix(13,-12,12,-11) Matrix(843,298,314,111) -> Matrix(1,0,-4,1) Matrix(473,166,208,73) -> Matrix(3,-2,2,-1) Matrix(351,112,398,127) -> Matrix(1,0,-2,1) Matrix(2991,950,1294,411) -> Matrix(3,-2,2,-1) Matrix(2837,898,496,157) -> Matrix(1,0,-4,1) Matrix(793,250,498,157) -> Matrix(1,0,-2,1) Matrix(2859,886,-9658,-2993) -> Matrix(3,-2,2,-1) Matrix(297,92,2560,793) -> Matrix(3,-2,8,-5) Matrix(343,106,1084,335) -> Matrix(3,-2,2,-1) Matrix(245,74,96,29) -> Matrix(1,-2,0,1) Matrix(47,14,292,87) -> Matrix(1,2,0,1) Matrix(12799,3788,3862,1143) -> Matrix(1,-2,0,1) Matrix(12025,3558,7628,2257) -> Matrix(1,0,-2,1) Matrix(339,100,-1834,-541) -> Matrix(1,0,2,1) Matrix(335,98,-1152,-337) -> Matrix(1,0,6,1) Matrix(1629,472,956,277) -> Matrix(7,-2,4,-1) Matrix(613,172,474,133) -> Matrix(5,-4,4,-3) Matrix(11139,3116,1984,555) -> Matrix(7,-6,-8,7) Matrix(12697,3550,2264,633) -> Matrix(5,-6,-4,5) Matrix(469,130,754,209) -> Matrix(5,-4,4,-3) Matrix(1453,400,1878,517) -> Matrix(3,-4,4,-5) Matrix(3187,876,2252,619) -> Matrix(1,4,0,1) Matrix(2109,578,748,205) -> Matrix(1,0,2,1) Matrix(2797,758,1214,329) -> Matrix(1,0,0,1) Matrix(1633,442,2516,681) -> Matrix(1,0,0,1) Matrix(231,62,652,175) -> Matrix(1,2,0,1) Matrix(649,172,1664,441) -> Matrix(1,2,-2,-3) Matrix(3653,966,1108,293) -> Matrix(7,4,-2,-1) Matrix(5129,1354,2216,585) -> Matrix(9,4,2,1) Matrix(1153,304,-6186,-1631) -> Matrix(1,0,6,1) Matrix(47,12,90,23) -> Matrix(1,0,-2,1) Matrix(763,184,1074,259) -> Matrix(1,0,2,1) Matrix(359,86,-2058,-493) -> Matrix(3,-2,8,-5) Matrix(623,148,804,191) -> Matrix(1,-2,2,-3) Matrix(445,104,1596,373) -> Matrix(1,-2,0,1) Matrix(1861,434,4258,993) -> Matrix(1,0,2,1) Matrix(18131,4224,4786,1115) -> Matrix(1,0,-4,1) Matrix(1641,382,5228,1217) -> Matrix(1,0,0,1) Matrix(2393,556,1416,329) -> Matrix(3,-2,2,-1) Matrix(219,50,-968,-221) -> Matrix(1,0,8,1) Matrix(1669,376,1052,237) -> Matrix(1,0,-6,1) Matrix(477,104,610,133) -> Matrix(11,-4,14,-5) Matrix(4299,932,1822,395) -> Matrix(21,-8,8,-3) Matrix(301,64,174,37) -> Matrix(1,0,-2,1) Matrix(127,24,418,79) -> Matrix(1,0,-4,1) Matrix(6475,1206,1004,187) -> Matrix(7,-2,-10,3) Matrix(1335,248,1588,295) -> Matrix(5,-2,-2,1) Matrix(207,38,1084,199) -> Matrix(1,0,-4,1) Matrix(581,104,1324,237) -> Matrix(5,-2,8,-3) Matrix(619,110,332,59) -> Matrix(9,-4,-2,1) Matrix(205,36,-1566,-275) -> Matrix(1,0,0,1) Matrix(4409,770,2800,489) -> Matrix(1,0,-4,1) Matrix(1315,228,248,43) -> Matrix(5,-2,-2,1) Matrix(1521,262,656,113) -> Matrix(9,-4,-2,1) Matrix(491,84,1888,323) -> Matrix(45,-22,-2,1) Matrix(725,114,566,89) -> Matrix(5,-4,4,-3) Matrix(641,98,242,37) -> Matrix(3,-2,-4,3) Matrix(839,124,318,47) -> Matrix(1,0,-2,1) Matrix(1183,162,314,43) -> Matrix(1,0,-4,1) Matrix(549,74,1966,265) -> Matrix(5,-2,-2,1) Matrix(1053,136,782,101) -> Matrix(9,-4,-2,1) Matrix(311,40,1796,231) -> Matrix(29,-14,-2,1) Matrix(115,14,156,19) -> Matrix(3,-2,8,-5) Matrix(585,-62,368,-39) -> Matrix(1,0,0,1) Matrix(4495,-536,1216,-145) -> Matrix(5,-2,-2,1) Matrix(663,-86,902,-117) -> Matrix(5,-4,14,-11) Matrix(299,-42,178,-25) -> Matrix(1,-2,2,-3) Matrix(501,-76,178,-27) -> Matrix(1,-2,4,-7) Matrix(291,-50,1682,-289) -> Matrix(1,-20,0,1) Matrix(1069,-188,290,-51) -> Matrix(1,2,0,1) Matrix(577,-104,172,-31) -> Matrix(1,0,0,1) Matrix(229,-42,518,-95) -> Matrix(1,0,2,1) Matrix(485,-92,58,-11) -> Matrix(1,0,0,1) Matrix(285,-56,56,-11) -> Matrix(1,0,-2,1) Matrix(85,-18,392,-83) -> Matrix(3,-2,2,-1) Matrix(473,-104,614,-135) -> Matrix(3,-4,4,-5) Matrix(83,-20,54,-13) -> Matrix(1,-2,0,1) Matrix(379,-98,1458,-377) -> Matrix(1,-26,0,1) Matrix(1025,-268,1832,-479) -> Matrix(1,8,4,33) Matrix(2179,-576,1290,-341) -> Matrix(3,10,2,7) Matrix(2687,-712,1936,-513) -> Matrix(5,12,2,5) Matrix(321,-86,698,-187) -> Matrix(1,2,0,1) Matrix(1259,-340,374,-101) -> Matrix(1,0,0,1) Matrix(1091,-302,1492,-413) -> Matrix(1,2,4,9) Matrix(1381,-386,1542,-431) -> Matrix(1,2,2,5) Matrix(609,-172,478,-135) -> Matrix(5,6,4,5) Matrix(341,-100,474,-139) -> Matrix(1,0,2,1) Matrix(1785,-526,526,-155) -> Matrix(1,-2,0,1) Matrix(3673,-1086,2310,-683) -> Matrix(1,2,0,1) Matrix(577,-172,104,-31) -> Matrix(1,0,0,1) Matrix(209,-64,676,-207) -> Matrix(1,0,6,1) Matrix(2309,-718,1296,-403) -> Matrix(7,-2,4,-1) Matrix(1215,-382,1708,-537) -> Matrix(1,0,2,1) Matrix(2009,-642,1186,-379) -> Matrix(3,-2,2,-1) Matrix(705,-248,452,-159) -> Matrix(1,-2,0,1) Matrix(1377,-494,800,-287) -> Matrix(1,-8,0,1) Matrix(773,-280,450,-163) -> Matrix(1,6,0,1) Matrix(847,-310,1194,-437) -> Matrix(1,2,4,9) Matrix(5371,-1972,2040,-749) -> Matrix(1,2,-2,-3) Matrix(1317,-484,3034,-1115) -> Matrix(1,2,0,1) Matrix(221,-84,50,-19) -> Matrix(1,2,0,1) Matrix(637,-246,246,-95) -> Matrix(1,2,-2,-3) Matrix(1419,-554,146,-57) -> Matrix(3,2,-2,-1) Matrix(1663,-650,1466,-573) -> Matrix(3,2,-2,-1) Matrix(757,-298,536,-211) -> Matrix(9,4,2,1) Matrix(121,-50,288,-119) -> Matrix(1,0,8,1) Matrix(503,-212,382,-161) -> Matrix(11,-2,6,-1) Matrix(405,-172,478,-203) -> Matrix(1,0,-4,1) Matrix(1257,-544,238,-103) -> Matrix(3,-2,2,-1) Matrix(3201,-1388,1898,-823) -> Matrix(7,-6,6,-5) Matrix(2463,-1072,664,-289) -> Matrix(1,-2,0,1) Matrix(995,-434,94,-41) -> Matrix(1,0,0,1) Matrix(4403,-1922,10082,-4401) -> Matrix(1,0,6,1) Matrix(3401,-1494,2174,-955) -> Matrix(1,-2,0,1) Matrix(259,-114,284,-125) -> Matrix(1,0,0,1) Matrix(491,-222,188,-85) -> Matrix(1,0,-2,1) Matrix(3827,-1748,2428,-1109) -> Matrix(1,-2,-2,5) Matrix(3453,-1580,2192,-1003) -> Matrix(1,0,-2,1) Matrix(557,-258,326,-151) -> Matrix(1,2,0,1) Matrix(641,-346,176,-95) -> Matrix(1,0,6,1) Matrix(1119,-614,308,-169) -> Matrix(1,0,-14,1) Matrix(943,-520,350,-193) -> Matrix(1,0,-10,1) Matrix(983,-548,174,-97) -> Matrix(1,0,-6,1) Matrix(6935,-3878,5102,-2853) -> Matrix(9,-2,-4,1) Matrix(457,-256,698,-391) -> Matrix(7,-2,4,-1) Matrix(1937,-1088,1394,-783) -> Matrix(15,-4,4,-1) Matrix(717,-404,914,-515) -> Matrix(17,-6,20,-7) Matrix(3041,-1720,564,-319) -> Matrix(5,-2,-2,1) Matrix(4797,-2716,1390,-787) -> Matrix(5,-2,-2,1) Matrix(1431,-812,608,-345) -> Matrix(3,-2,2,-1) Matrix(993,-572,776,-447) -> Matrix(7,-2,4,-1) Matrix(1531,-884,646,-373) -> Matrix(3,-2,2,-1) Matrix(817,-474,474,-275) -> Matrix(5,-2,-2,1) Matrix(235,-138,172,-101) -> Matrix(3,-2,2,-1) Matrix(403,-244,550,-333) -> Matrix(1,0,2,1) Matrix(5727,-3488,2366,-1441) -> Matrix(9,-4,-2,1) Matrix(6929,-4224,4224,-2575) -> Matrix(3,-2,2,-1) Matrix(2005,-1224,1394,-851) -> Matrix(9,-4,-2,1) Matrix(885,-542,338,-207) -> Matrix(3,-2,-4,3) Matrix(547,-338,882,-545) -> Matrix(11,-10,10,-9) Matrix(187,-118,84,-53) -> Matrix(1,0,0,1) Matrix(705,-452,248,-159) -> Matrix(1,-2,2,-3) Matrix(785,-506,166,-107) -> Matrix(1,-4,0,1) Matrix(3961,-2568,1072,-695) -> Matrix(1,-4,0,1) Matrix(4283,-2790,1770,-1153) -> Matrix(1,-6,0,1) Matrix(141,-98,200,-139) -> Matrix(1,0,6,1) Matrix(3127,-2210,1156,-817) -> Matrix(1,0,-6,1) Matrix(2489,-1762,1592,-1127) -> Matrix(9,-2,-4,1) Matrix(5505,-3914,2384,-1695) -> Matrix(7,-2,4,-1) Matrix(2687,-1936,712,-513) -> Matrix(1,0,-2,1) Matrix(3397,-2450,2450,-1767) -> Matrix(9,2,4,1) Matrix(749,-542,474,-343) -> Matrix(1,0,-4,1) Matrix(923,-674,708,-517) -> Matrix(11,-2,6,-1) Matrix(3371,-2476,2000,-1469) -> Matrix(25,-8,22,-7) Matrix(1057,-778,1254,-923) -> Matrix(5,-2,-2,1) Matrix(2993,-2310,1766,-1363) -> Matrix(5,-4,4,-3) Matrix(2689,-2106,1868,-1463) -> Matrix(29,-24,-6,5) Matrix(1275,-1004,494,-389) -> Matrix(15,-14,-16,15) Matrix(587,-466,228,-181) -> Matrix(7,-8,-6,7) Matrix(131,-108,74,-61) -> Matrix(1,0,0,1) Matrix(925,-776,776,-651) -> Matrix(1,4,0,1) Matrix(1401,-1184,368,-311) -> Matrix(1,0,-2,1) Matrix(1113,-962,656,-567) -> Matrix(3,-2,2,-1) Matrix(2003,-1738,582,-505) -> Matrix(1,-2,0,1) Matrix(2273,-1978,1672,-1455) -> Matrix(1,0,0,1) Matrix(289,-256,324,-287) -> Matrix(1,0,4,1) Matrix(145,-162,128,-143) -> Matrix(1,-2,0,1) Matrix(2943,-3346,796,-905) -> Matrix(1,-2,0,1) Matrix(1185,-1364,854,-983) -> Matrix(5,2,2,1) Matrix(1057,-1254,778,-923) -> Matrix(1,0,0,1) Matrix(4621,-5512,1364,-1627) -> Matrix(1,-10,0,1) Matrix(107,-132,30,-37) -> Matrix(1,0,-2,1) Matrix(571,-722,450,-569) -> Matrix(15,-14,14,-13) Matrix(1627,-2078,956,-1221) -> Matrix(1,-2,2,-3) Matrix(563,-730,118,-153) -> Matrix(3,-4,-2,3) Matrix(2693,-3528,1590,-2083) -> Matrix(1,0,0,1) Matrix(2383,-3126,882,-1157) -> Matrix(1,-2,2,-3) Matrix(1793,-2424,520,-703) -> Matrix(1,-2,0,1) Matrix(563,-762,116,-157) -> Matrix(1,-2,0,1) Matrix(663,-902,86,-117) -> Matrix(1,-2,0,1) Matrix(185,-256,86,-119) -> Matrix(1,-2,2,-3) Matrix(2223,-3080,428,-593) -> Matrix(1,-2,8,-15) Matrix(4275,-5926,826,-1145) -> Matrix(1,-2,-14,29) Matrix(2431,-3384,426,-593) -> Matrix(1,-2,-2,5) Matrix(313,-436,28,-39) -> Matrix(1,-2,0,1) Matrix(353,-498,56,-79) -> Matrix(1,-4,0,1) Matrix(4731,-6692,2000,-2829) -> Matrix(1,-2,0,1) Matrix(281,-400,196,-279) -> Matrix(1,-12,0,1) Matrix(947,-1366,278,-401) -> Matrix(1,2,0,1) Matrix(1925,-3006,796,-1243) -> Matrix(1,-4,0,1) Matrix(1701,-2684,950,-1499) -> Matrix(5,2,2,1) Matrix(907,-1438,316,-501) -> Matrix(1,0,2,1) Matrix(547,-882,338,-545) -> Matrix(1,0,6,1) Matrix(219,-358,52,-85) -> Matrix(1,0,0,1) Matrix(1843,-3020,1082,-1773) -> Matrix(3,-2,2,-1) Matrix(35291,-57902,13056,-21421) -> Matrix(1,-2,0,1) Matrix(20947,-34372,7750,-12717) -> Matrix(1,2,0,1) Matrix(1261,-2070,438,-719) -> Matrix(1,0,2,1) Matrix(745,-1226,206,-339) -> Matrix(1,0,-4,1) Matrix(2509,-4258,756,-1283) -> Matrix(3,-4,-2,3) Matrix(4283,-7310,1156,-1973) -> Matrix(1,-4,0,1) Matrix(4319,-7376,1256,-2145) -> Matrix(1,-4,0,1) Matrix(3533,-6292,954,-1699) -> Matrix(3,-4,-2,3) Matrix(1477,-2636,562,-1003) -> Matrix(1,-2,0,1) Matrix(1025,-1832,268,-479) -> Matrix(1,-2,-4,9) Matrix(693,-1244,122,-219) -> Matrix(1,-2,-2,5) Matrix(133,-242,72,-131) -> Matrix(1,-6,0,1) Matrix(401,-754,142,-267) -> Matrix(1,2,2,5) Matrix(321,-698,86,-187) -> Matrix(3,-2,-4,3) Matrix(229,-518,42,-95) -> Matrix(1,-2,0,1) Matrix(629,-1444,186,-427) -> Matrix(1,-2,0,1) Matrix(539,-1264,142,-333) -> Matrix(1,-2,-2,5) Matrix(1295,-3058,202,-477) -> Matrix(1,-4,0,1) Matrix(9283,-21964,3434,-8125) -> Matrix(1,-4,0,1) Matrix(2141,-5068,444,-1051) -> Matrix(1,-4,0,1) Matrix(241,-576,100,-239) -> Matrix(1,-10,0,1) Matrix(1103,-2672,258,-625) -> Matrix(1,4,2,9) Matrix(759,-1996,262,-689) -> Matrix(1,0,2,1) Matrix(2143,-5644,374,-985) -> Matrix(1,0,-2,1) Matrix(119,-324,18,-49) -> Matrix(1,0,2,1) Matrix(451,-1250,162,-449) -> Matrix(1,0,18,1) Matrix(105,-338,32,-103) -> Matrix(1,-4,0,1) Matrix(1069,-3520,222,-731) -> Matrix(1,2,0,1) Matrix(2689,-8904,710,-2351) -> Matrix(1,2,-2,-3) Matrix(6511,-22050,1922,-6509) -> Matrix(1,-12,0,1) Matrix(661,-2262,154,-527) -> Matrix(1,0,2,1) Matrix(3635,-12482,1058,-3633) -> Matrix(1,-2,0,1) Matrix(755,-2612,198,-685) -> Matrix(1,2,-4,-7) Matrix(2413,-8978,648,-2411) -> Matrix(11,12,-12,-13) Matrix(1943,-7238,302,-1125) -> Matrix(7,6,-6,-5) Matrix(379,-1458,98,-377) -> Matrix(1,0,14,1) Matrix(245,-1046,26,-111) -> Matrix(1,0,-2,1) Matrix(865,-3724,154,-663) -> Matrix(5,-4,-6,5) Matrix(169,-784,36,-167) -> Matrix(1,-6,0,1) Matrix(689,-3698,128,-687) -> Matrix(1,-2,0,1) Matrix(291,-1682,50,-289) -> Matrix(1,0,10,1) Matrix(61,-450,8,-59) -> Matrix(1,-2,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 68 Degree of the the map X: 68 Degree of the the map Y: 288 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 0/1 1 1 0/1 1/1 1 34 1/9 1/1 1 17 2/17 1/3 1 34 1/8 (1/2,1/1) 0 34 2/15 1/1 7 2 1/7 1/1 1 17 1/6 (3/1,1/0) 0 34 5/29 1/0 10 1 4/23 -7/1 1 34 3/17 -1/1 1 17 2/11 -1/1 1 34 3/16 (0/1,1/0) 0 34 4/21 -1/1 1 34 1/5 1/1 1 17 3/14 1/1 2 2 5/23 1/1 1 17 2/9 1/1 1 34 1/4 (2/1,1/0) 0 34 7/27 1/0 13 1 6/23 -11/1 1 34 5/19 -5/1 1 17 9/34 (-3/1,-2/1) 0 34 4/15 -1/1 1 34 7/26 (-1/1,1/0) 0 34 3/11 -1/1 1 17 8/29 -3/1 1 34 5/18 (-2/1,1/0) 0 34 7/25 -1/1 1 17 2/7 -1/1 1 34 5/17 1/1 1 17 13/44 (-3/1,1/0) 0 34 8/27 -1/1 1 34 3/10 (-1/1,0/1) 0 34 4/13 0/1 3 2 5/16 (0/1,1/2) 0 34 11/35 1/1 1 17 6/19 1/1 1 34 1/3 1/1 1 17 5/14 (4/1,1/0) 0 34 9/25 1/0 7 1 4/11 -3/1 1 34 3/8 (-1/1,1/0) 0 34 5/13 -1/1 1 17 7/18 (-1/1,-4/5) 0 34 9/23 -1/1 1 17 2/5 -1/1 1 34 5/12 0/1 8 2 8/19 1/7 1 34 11/26 (0/1,1/4) 0 34 3/7 1/3 1 17 13/30 (2/3,1/1) 0 34 10/23 1/1 1 34 17/39 1/1 1 17 24/55 -1/1 1 34 31/71 0/1 3 1 7/16 (0/1,1/2) 0 34 11/25 1/1 1 17 15/34 (0/1,1/2) 0 34 4/9 1/1 1 34 5/11 1/1 1 17 16/35 1/0 1 2 11/24 (1/1,1/0) 0 34 6/13 1/1 1 34 1/2 (0/1,1/0) 0 34 6/11 0/1 10 2 11/20 (0/1,1/10) 0 34 5/9 1/5 1 17 19/34 (2/9,1/4) 0 34 33/59 3/13 1 17 14/25 3/11 1 34 23/41 1/3 1 17 9/16 (2/7,1/3) 0 34 13/23 1/3 1 17 30/53 1/1 1 34 17/30 (0/1,1/2) 0 34 4/7 1/3 1 34 15/26 (2/5,1/2) 0 34 11/19 1/3 1 17 7/12 (1/2,2/3) 0 34 3/5 1/1 1 17 14/23 1/1 1 34 39/64 (1/2,1/1) 0 34 25/41 1/1 1 17 11/18 (1/2,2/3) 0 34 8/13 1/1 1 34 13/21 1/1 5 1 5/8 (1/1,2/1) 0 34 7/11 1/1 1 17 9/14 (2/1,1/0) 0 34 11/17 1/1 1 17 13/20 (1/1,1/0) 0 34 15/23 1/1 1 17 2/3 -1/1 1 34 7/10 0/1 6 2 12/17 1/5 1 34 29/41 1/5 1 17 17/24 (0/1,1/4) 0 34 5/7 1/3 1 17 18/25 1/1 1 34 31/43 -1/1 1 17 13/18 (0/1,1/4) 0 34 8/11 1/1 1 34 19/26 (0/1,1/4) 0 34 30/41 1/3 1 34 11/15 1/3 1 17 3/4 (1/2,1/1) 0 34 7/9 1/1 1 17 11/14 (8/9,1/1) 0 34 15/19 1/1 11 1 4/5 1/1 1 34 5/6 (1/1,1/0) 0 34 16/19 -1/1 1 34 11/13 -1/1 1 17 6/7 1/1 1 34 13/15 1/1 1 17 20/23 1/1 1 34 7/8 (0/1,1/0) 0 34 8/9 0/1 2 2 9/10 (0/1,1/2) 0 34 1/1 1/1 1 17 9/8 1/0 2 2 17/15 -1/1 1 17 8/7 1/1 1 34 7/6 (0/1,1/1) 0 34 6/5 -1/1 1 34 5/4 (1/2,1/1) 0 34 19/15 1/1 7 1 14/11 1/1 1 34 37/29 1/1 1 17 23/18 (4/3,3/2) 0 34 9/7 1/1 1 17 13/10 (3/2,2/1) 0 34 17/13 1/1 1 17 38/29 1/1 1 34 21/16 (3/2,2/1) 0 34 4/3 3/1 1 34 27/20 (0/1,1/0) 0 34 23/17 1/1 1 17 19/14 (1/1,1/0) 0 34 34/25 1/1 1 34 15/11 1/1 1 17 11/8 (0/1,1/0) 0 34 18/13 5/3 1 34 79/57 2/1 11 1 61/44 (2/1,17/8) 0 34 43/31 7/3 1 17 25/18 (2/1,3/1) 0 34 32/23 1/1 1 34 39/28 (2/1,1/0) 0 34 7/5 3/1 1 17 24/17 5/1 1 34 41/29 5/1 1 17 17/12 (6/1,1/0) 0 34 10/7 1/0 6 2 3/2 (0/1,1/0) 0 34 14/9 -1/1 1 34 25/16 (-2/1,1/0) 0 34 11/7 -1/1 1 17 52/33 -1/2 1 2 41/26 (-1/2,0/1) 0 34 30/19 -1/3 1 34 19/12 (0/1,1/0) 0 34 27/17 1/1 1 17 8/5 -1/1 1 34 21/13 0/1 3 1 13/8 (0/1,1/2) 0 34 18/11 1/1 1 34 41/25 1/1 1 17 105/64 (1/1,1/0) 0 34 169/103 1/0 2 1 64/39 -1/1 1 34 23/14 (0/1,1/0) 0 34 5/3 1/1 1 17 32/19 1/1 7 2 27/16 (1/1,4/3) 0 34 22/13 1/1 1 34 39/23 1/1 1 17 56/33 1/1 1 34 17/10 (2/1,1/0) 0 34 29/17 3/1 1 17 70/41 3/1 1 34 41/24 (2/1,1/0) 0 34 12/7 3/1 1 34 7/4 (1/1,1/0) 0 34 16/9 1/1 1 34 41/23 1/1 1 17 25/14 (3/2,2/1) 0 34 34/19 1/1 1 34 43/24 (2/1,1/0) 0 34 9/5 3/1 1 17 11/6 1/0 6 2 13/7 -3/1 1 17 2/1 -1/1 1 34 13/6 (1/2,2/3) 0 34 11/5 1/1 1 17 9/4 (1/1,2/1) 0 34 16/7 3/1 1 34 23/10 (1/1,1/0) 0 34 30/13 1/1 1 34 37/16 (2/1,1/0) 0 34 7/3 1/1 1 17 40/17 3/1 1 34 33/14 (2/1,1/0) 0 34 26/11 3/1 1 34 71/30 (3/1,1/0) 0 34 45/19 3/1 1 17 19/8 (4/1,1/0) 0 34 12/5 1/0 5 2 5/2 (-1/1,1/0) 0 34 13/5 -1/1 1 17 34/13 -1/1 1 34 21/8 (-1/2,0/1) 0 34 71/27 -1/1 1 17 50/19 -1/1 1 34 29/11 -1/1 1 17 8/3 -1/1 1 34 27/10 (0/1,1/0) 0 34 19/7 -1/1 1 17 11/4 (-1/4,0/1) 0 34 25/9 0/1 9 1 14/5 1/5 1 34 17/6 (0/1,1/2) 0 34 3/1 1/1 1 17 13/4 1/0 4 2 23/7 -3/1 1 17 33/10 (-3/1,-2/1) 0 34 10/3 -1/1 1 34 37/11 -1/1 1 17 27/8 (-1/1,1/0) 0 34 44/13 1/1 1 34 105/31 1/0 6 1 61/18 (-5/1,1/0) 0 34 17/5 -1/1 1 17 41/12 (-2/1,-3/2) 0 34 24/7 -1/1 1 34 79/23 1/0 1 1 55/16 (-2/1,1/0) 0 34 86/25 -1/1 1 34 31/9 -1/1 1 17 69/20 (-2/1,1/0) 0 34 38/11 -3/1 1 34 7/2 (-1/1,1/0) 0 34 18/5 -1/3 1 34 29/8 (-1/4,0/1) 0 34 11/3 1/1 1 17 48/13 -5/1 1 34 37/10 (-2/1,1/0) 0 34 63/17 -1/1 1 17 26/7 -1/1 1 34 67/18 -1/1 12 2 108/29 -1/1 1 34 41/11 -1/1 1 17 15/4 (-1/2,0/1) 0 34 34/9 -1/1 1 34 19/5 -1/3 1 17 42/11 -1/5 1 34 23/6 (-1/6,0/1) 0 34 27/7 0/1 7 1 4/1 1/1 1 34 17/4 (0/1,1/2) 0 34 30/7 1/1 1 34 43/10 (2/3,3/4) 0 34 13/3 1/1 1 17 9/2 (1/1,1/0) 0 34 14/3 1/0 3 2 19/4 (-2/1,1/0) 0 34 5/1 -1/1 1 17 21/4 (0/1,1/1) 0 34 16/3 -1/1 1 34 11/2 (-1/1,0/1) 0 34 28/5 -1/1 1 34 73/13 -1/1 1 17 45/8 (-2/3,-1/2) 0 34 17/3 -1/1 1 17 57/10 (-1/2,0/1) 0 34 40/7 -1/3 1 34 23/4 (-1/4,0/1) 0 34 29/5 0/1 5 1 6/1 1/1 1 34 19/3 -1/1 1 17 13/2 (-1/2,0/1) 0 34 7/1 1/1 1 17 15/2 1/0 2 2 23/3 -1/1 1 17 8/1 -1/1 1 34 9/1 1/1 1 17 10/1 -1/1 1 34 11/1 1/1 1 17 1/0 (0/1,1/0) 0 34 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(-1,0,2,1) (-1/1,0/1) -> (-1/1,0/1) Reflection Matrix(155,-16,184,-19) (0/1,1/9) -> (16/19,11/13) Glide Reflection Matrix(701,-80,184,-21) (1/9,2/17) -> (19/5,42/11) Glide Reflection Matrix(423,-52,122,-15) (2/17,1/8) -> (38/11,7/2) Glide Reflection Matrix(31,-4,240,-31) (1/8,2/15) -> (1/8,2/15) Reflection Matrix(299,-42,178,-25) (2/15,1/7) -> (5/3,32/19) Hyperbolic Matrix(87,-14,118,-19) (1/7,1/6) -> (11/15,3/4) Glide Reflection Matrix(59,-10,348,-59) (1/6,5/29) -> (1/6,5/29) Reflection Matrix(231,-40,1334,-231) (5/29,4/23) -> (5/29,4/23) Reflection Matrix(1069,-188,290,-51) (4/23,3/17) -> (11/3,48/13) Hyperbolic Matrix(577,-104,172,-31) (3/17,2/11) -> (10/3,37/11) Hyperbolic Matrix(229,-42,518,-95) (2/11,3/16) -> (15/34,4/9) Hyperbolic Matrix(859,-162,228,-43) (3/16,4/21) -> (15/4,34/9) Glide Reflection Matrix(741,-142,1028,-197) (4/21,1/5) -> (18/25,31/43) Glide Reflection Matrix(85,-18,392,-83) (1/5,3/14) -> (3/14,5/23) Parabolic Matrix(445,-98,168,-37) (5/23,2/9) -> (29/11,8/3) Glide Reflection Matrix(83,-20,54,-13) (2/9,1/4) -> (3/2,14/9) Hyperbolic Matrix(55,-14,216,-55) (1/4,7/27) -> (1/4,7/27) Reflection Matrix(323,-84,1242,-323) (7/27,6/23) -> (7/27,6/23) Reflection Matrix(1025,-268,1832,-479) (6/23,5/19) -> (33/59,14/25) Hyperbolic Matrix(349,-92,808,-213) (5/19,9/34) -> (3/7,13/30) Glide Reflection Matrix(859,-228,162,-43) (9/34,4/15) -> (21/4,16/3) Glide Reflection Matrix(321,-86,698,-187) (4/15,7/26) -> (11/24,6/13) Hyperbolic Matrix(1259,-340,374,-101) (7/26,3/11) -> (37/11,27/8) Hyperbolic Matrix(399,-110,214,-59) (3/11,8/29) -> (13/7,2/1) Glide Reflection Matrix(1091,-302,1492,-413) (8/29,5/18) -> (19/26,30/41) Hyperbolic Matrix(373,-104,850,-237) (5/18,7/25) -> (7/16,11/25) Glide Reflection Matrix(609,-172,478,-135) (7/25,2/7) -> (14/11,37/29) Hyperbolic Matrix(341,-100,474,-139) (2/7,5/17) -> (5/7,18/25) Hyperbolic Matrix(1785,-526,526,-155) (5/17,13/44) -> (61/18,17/5) Hyperbolic Matrix(839,-248,998,-295) (13/44,8/27) -> (5/6,16/19) Glide Reflection Matrix(577,-172,104,-31) (8/27,3/10) -> (11/2,28/5) Hyperbolic Matrix(79,-24,260,-79) (3/10,4/13) -> (3/10,4/13) Reflection Matrix(129,-40,416,-129) (4/13,5/16) -> (4/13,5/16) Reflection Matrix(2303,-722,622,-195) (5/16,11/35) -> (37/10,63/17) Glide Reflection Matrix(3001,-944,1758,-553) (11/35,6/19) -> (29/17,70/41) Glide Reflection Matrix(827,-262,464,-147) (6/19,1/3) -> (16/9,41/23) Glide Reflection Matrix(175,-62,302,-107) (1/3,5/14) -> (11/19,7/12) Glide Reflection Matrix(251,-90,700,-251) (5/14,9/25) -> (5/14,9/25) Reflection Matrix(199,-72,550,-199) (9/25,4/11) -> (9/25,4/11) Reflection Matrix(173,-64,100,-37) (4/11,3/8) -> (12/7,7/4) Glide Reflection Matrix(221,-84,50,-19) (3/8,5/13) -> (13/3,9/2) Hyperbolic Matrix(269,-104,344,-133) (5/13,7/18) -> (7/9,11/14) Glide Reflection Matrix(441,-172,782,-305) (7/18,9/23) -> (9/16,13/23) Glide Reflection Matrix(757,-298,536,-211) (9/23,2/5) -> (24/17,41/29) Hyperbolic Matrix(121,-50,288,-119) (2/5,5/12) -> (5/12,8/19) Parabolic Matrix(503,-212,382,-161) (8/19,11/26) -> (21/16,4/3) Hyperbolic Matrix(835,-354,526,-223) (11/26,3/7) -> (19/12,27/17) Glide Reflection Matrix(1281,-556,758,-329) (13/30,10/23) -> (27/16,22/13) Glide Reflection Matrix(2463,-1072,664,-289) (10/23,17/39) -> (63/17,26/7) Hyperbolic Matrix(995,-434,94,-41) (17/39,24/55) -> (10/1,11/1) Hyperbolic Matrix(3409,-1488,7810,-3409) (24/55,31/71) -> (24/55,31/71) Reflection Matrix(993,-434,2272,-993) (31/71,7/16) -> (31/71,7/16) Reflection Matrix(259,-114,284,-125) (11/25,15/34) -> (9/10,1/1) Hyperbolic Matrix(491,-222,188,-85) (4/9,5/11) -> (13/5,34/13) Hyperbolic Matrix(957,-436,608,-277) (5/11,16/35) -> (11/7,52/33) Glide Reflection Matrix(769,-352,1680,-769) (16/35,11/24) -> (16/35,11/24) Reflection Matrix(557,-258,326,-151) (6/13,1/2) -> (41/24,12/7) Hyperbolic Matrix(23,-12,44,-23) (1/2,6/11) -> (1/2,6/11) Reflection Matrix(241,-132,440,-241) (6/11,11/20) -> (6/11,11/20) Reflection Matrix(481,-266,132,-73) (11/20,5/9) -> (29/8,11/3) Glide Reflection Matrix(983,-548,174,-97) (5/9,19/34) -> (45/8,17/3) Hyperbolic Matrix(2421,-1354,1046,-585) (19/34,33/59) -> (37/16,7/3) Glide Reflection Matrix(457,-256,698,-391) (14/25,23/41) -> (15/23,2/3) Hyperbolic Matrix(1721,-966,522,-293) (23/41,9/16) -> (23/7,33/10) Glide Reflection Matrix(1085,-614,956,-541) (13/23,30/53) -> (17/15,8/7) Glide Reflection Matrix(4797,-2716,1390,-787) (30/53,17/30) -> (69/20,38/11) Hyperbolic Matrix(1431,-812,608,-345) (17/30,4/7) -> (40/17,33/14) Hyperbolic Matrix(539,-310,346,-199) (4/7,15/26) -> (14/9,25/16) Glide Reflection Matrix(1531,-884,646,-373) (15/26,11/19) -> (45/19,19/8) Hyperbolic Matrix(235,-138,172,-101) (7/12,3/5) -> (15/11,11/8) Hyperbolic Matrix(403,-244,550,-333) (3/5,14/23) -> (30/41,11/15) Hyperbolic Matrix(3297,-2008,1394,-849) (14/23,39/64) -> (26/11,71/30) Glide Reflection Matrix(6929,-4224,4224,-2575) (39/64,25/41) -> (41/25,105/64) Hyperbolic Matrix(1435,-876,1014,-619) (25/41,11/18) -> (41/29,17/12) Glide Reflection Matrix(885,-542,338,-207) (11/18,8/13) -> (34/13,21/8) Hyperbolic Matrix(337,-208,546,-337) (8/13,13/21) -> (8/13,13/21) Reflection Matrix(209,-130,336,-209) (13/21,5/8) -> (13/21,5/8) Reflection Matrix(187,-118,84,-53) (5/8,7/11) -> (11/5,9/4) Hyperbolic Matrix(269,-172,208,-133) (7/11,9/14) -> (9/7,13/10) Glide Reflection Matrix(393,-254,82,-53) (9/14,11/17) -> (19/4,5/1) Glide Reflection Matrix(783,-508,578,-375) (11/17,13/20) -> (23/17,19/14) Glide Reflection Matrix(2533,-1650,1070,-697) (13/20,15/23) -> (71/30,45/19) Glide Reflection Matrix(141,-98,200,-139) (2/3,7/10) -> (7/10,12/17) Parabolic Matrix(1435,-1014,876,-619) (12/17,29/41) -> (18/11,41/25) Glide Reflection Matrix(1831,-1296,1434,-1015) (29/41,17/24) -> (37/29,23/18) Glide Reflection Matrix(815,-578,478,-339) (17/24,5/7) -> (17/10,29/17) Glide Reflection Matrix(3397,-2450,2450,-1767) (31/43,13/18) -> (61/44,43/31) Hyperbolic Matrix(749,-542,474,-343) (13/18,8/11) -> (30/19,19/12) Hyperbolic Matrix(551,-402,196,-143) (8/11,19/26) -> (14/5,17/6) Glide Reflection Matrix(97,-74,38,-29) (3/4,7/9) -> (5/2,13/5) Glide Reflection Matrix(419,-330,532,-419) (11/14,15/19) -> (11/14,15/19) Reflection Matrix(151,-120,190,-151) (15/19,4/5) -> (15/19,4/5) Reflection Matrix(131,-108,74,-61) (4/5,5/6) -> (7/4,16/9) Hyperbolic Matrix(293,-250,184,-157) (11/13,6/7) -> (27/17,8/5) Glide Reflection Matrix(1113,-962,656,-567) (6/7,13/15) -> (39/23,56/33) Hyperbolic Matrix(2003,-1738,582,-505) (13/15,20/23) -> (86/25,31/9) Hyperbolic Matrix(1091,-950,472,-411) (20/23,7/8) -> (30/13,37/16) Glide Reflection Matrix(127,-112,144,-127) (7/8,8/9) -> (7/8,8/9) Reflection Matrix(161,-144,180,-161) (8/9,9/10) -> (8/9,9/10) Reflection Matrix(145,-162,128,-143) (1/1,9/8) -> (9/8,17/15) Parabolic Matrix(173,-200,32,-37) (8/7,7/6) -> (16/3,11/2) Glide Reflection Matrix(141,-166,62,-73) (7/6,6/5) -> (9/4,16/7) Glide Reflection Matrix(107,-132,30,-37) (6/5,5/4) -> (7/2,18/5) Hyperbolic Matrix(151,-190,120,-151) (5/4,19/15) -> (5/4,19/15) Reflection Matrix(419,-532,330,-419) (19/15,14/11) -> (19/15,14/11) Reflection Matrix(373,-478,238,-305) (23/18,9/7) -> (25/16,11/7) Glide Reflection Matrix(251,-328,88,-115) (13/10,17/13) -> (17/6,3/1) Glide Reflection Matrix(2709,-3548,1030,-1349) (17/13,38/29) -> (71/27,50/19) Glide Reflection Matrix(1691,-2218,1030,-1351) (38/29,21/16) -> (64/39,23/14) Glide Reflection Matrix(1071,-1444,290,-391) (4/3,27/20) -> (48/13,37/10) Glide Reflection Matrix(1793,-2424,520,-703) (27/20,23/17) -> (31/9,69/20) Hyperbolic Matrix(995,-1352,432,-587) (19/14,34/25) -> (23/10,30/13) Glide Reflection Matrix(663,-902,86,-117) (34/25,15/11) -> (23/3,8/1) Hyperbolic Matrix(185,-256,86,-119) (11/8,18/13) -> (2/1,13/6) Hyperbolic Matrix(2053,-2844,1482,-2053) (18/13,79/57) -> (18/13,79/57) Reflection Matrix(6953,-9638,5016,-6953) (79/57,61/44) -> (79/57,61/44) Reflection Matrix(741,-1028,142,-197) (43/31,25/18) -> (5/1,21/4) Glide Reflection Matrix(939,-1306,284,-395) (25/18,32/23) -> (33/10,10/3) Glide Reflection Matrix(2431,-3384,426,-593) (32/23,39/28) -> (57/10,40/7) Hyperbolic Matrix(313,-436,28,-39) (39/28,7/5) -> (11/1,1/0) Hyperbolic Matrix(353,-498,56,-79) (7/5,24/17) -> (6/1,19/3) Hyperbolic Matrix(239,-340,168,-239) (17/12,10/7) -> (17/12,10/7) Reflection Matrix(41,-60,28,-41) (10/7,3/2) -> (10/7,3/2) Reflection Matrix(2705,-4264,1716,-2705) (52/33,41/26) -> (52/33,41/26) Reflection Matrix(1701,-2684,950,-1499) (41/26,30/19) -> (34/19,43/24) Hyperbolic Matrix(209,-336,130,-209) (8/5,21/13) -> (8/5,21/13) Reflection Matrix(337,-546,208,-337) (21/13,13/8) -> (21/13,13/8) Reflection Matrix(219,-358,52,-85) (13/8,18/11) -> (4/1,17/4) Hyperbolic Matrix(21631,-35490,13184,-21631) (105/64,169/103) -> (105/64,169/103) Reflection Matrix(13183,-21632,8034,-13183) (169/103,64/39) -> (169/103,64/39) Reflection Matrix(347,-572,128,-211) (23/14,5/3) -> (27/10,19/7) Glide Reflection Matrix(1025,-1728,608,-1025) (32/19,27/16) -> (32/19,27/16) Reflection Matrix(1527,-2588,580,-983) (22/13,39/23) -> (50/19,29/11) Glide Reflection Matrix(1159,-1968,202,-343) (56/33,17/10) -> (40/7,23/4) Glide Reflection Matrix(4319,-7376,1256,-2145) (70/41,41/24) -> (55/16,86/25) Hyperbolic Matrix(1477,-2636,562,-1003) (41/23,25/14) -> (21/8,71/27) Hyperbolic Matrix(1025,-1832,268,-479) (25/14,34/19) -> (42/11,23/6) Hyperbolic Matrix(693,-1244,122,-219) (43/24,9/5) -> (17/3,57/10) Hyperbolic Matrix(133,-242,72,-131) (9/5,11/6) -> (11/6,13/7) Parabolic Matrix(321,-698,86,-187) (13/6,11/5) -> (41/11,15/4) Hyperbolic Matrix(629,-1444,186,-427) (16/7,23/10) -> (27/8,44/13) Hyperbolic Matrix(183,-430,20,-47) (7/3,40/17) -> (9/1,10/1) Glide Reflection Matrix(607,-1432,142,-335) (33/14,26/11) -> (17/4,30/7) Glide Reflection Matrix(191,-456,80,-191) (19/8,12/5) -> (19/8,12/5) Reflection Matrix(49,-120,20,-49) (12/5,5/2) -> (12/5,5/2) Reflection Matrix(267,-718,74,-199) (8/3,27/10) -> (18/5,29/8) Glide Reflection Matrix(119,-324,18,-49) (19/7,11/4) -> (13/2,7/1) Hyperbolic Matrix(199,-550,72,-199) (11/4,25/9) -> (11/4,25/9) Reflection Matrix(251,-700,90,-251) (25/9,14/5) -> (25/9,14/5) Reflection Matrix(105,-338,32,-103) (3/1,13/4) -> (13/4,23/7) Parabolic Matrix(2729,-9240,806,-2729) (44/13,105/31) -> (44/13,105/31) Reflection Matrix(3781,-12810,1116,-3781) (105/31,61/18) -> (105/31,61/18) Reflection Matrix(293,-1000,46,-157) (17/5,41/12) -> (19/3,13/2) Glide Reflection Matrix(661,-2262,154,-527) (41/12,24/7) -> (30/7,43/10) Hyperbolic Matrix(1105,-3792,322,-1105) (24/7,79/23) -> (24/7,79/23) Reflection Matrix(2529,-8690,736,-2529) (79/23,55/16) -> (79/23,55/16) Reflection Matrix(2413,-8978,648,-2411) (26/7,67/18) -> (67/18,108/29) Parabolic Matrix(2425,-9032,432,-1609) (108/29,41/11) -> (28/5,73/13) Glide Reflection Matrix(121,-458,14,-53) (34/9,19/5) -> (8/1,9/1) Glide Reflection Matrix(323,-1242,84,-323) (23/6,27/7) -> (23/6,27/7) Reflection Matrix(55,-216,14,-55) (27/7,4/1) -> (27/7,4/1) Reflection Matrix(865,-3724,154,-663) (43/10,13/3) -> (73/13,45/8) Hyperbolic Matrix(55,-252,12,-55) (9/2,14/3) -> (9/2,14/3) Reflection Matrix(113,-532,24,-113) (14/3,19/4) -> (14/3,19/4) Reflection Matrix(231,-1334,40,-231) (23/4,29/5) -> (23/4,29/5) Reflection Matrix(59,-348,10,-59) (29/5,6/1) -> (29/5,6/1) Reflection Matrix(61,-450,8,-59) (7/1,15/2) -> (15/2,23/3) Parabolic IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,0,-1) (-1/1,1/0) -> (0/1,1/0) Matrix(-1,0,2,1) -> Matrix(1,0,2,-1) (-1/1,0/1) -> (0/1,1/1) Matrix(155,-16,184,-19) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(701,-80,184,-21) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(423,-52,122,-15) -> Matrix(3,-2,-2,1) Matrix(31,-4,240,-31) -> Matrix(3,-2,4,-3) (1/8,2/15) -> (1/2,1/1) Matrix(299,-42,178,-25) -> Matrix(1,-2,2,-3) 1/1 Matrix(87,-14,118,-19) -> Matrix(1,-2,2,-5) Matrix(59,-10,348,-59) -> Matrix(-1,6,0,1) (1/6,5/29) -> (3/1,1/0) Matrix(231,-40,1334,-231) -> Matrix(1,14,0,-1) (5/29,4/23) -> (-7/1,1/0) Matrix(1069,-188,290,-51) -> Matrix(1,2,0,1) 1/0 Matrix(577,-104,172,-31) -> Matrix(1,0,0,1) Matrix(229,-42,518,-95) -> Matrix(1,0,2,1) 0/1 Matrix(859,-162,228,-43) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(741,-142,1028,-197) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(85,-18,392,-83) -> Matrix(3,-2,2,-1) 1/1 Matrix(445,-98,168,-37) -> Matrix(1,-2,-2,3) Matrix(83,-20,54,-13) -> Matrix(1,-2,0,1) 1/0 Matrix(55,-14,216,-55) -> Matrix(-1,4,0,1) (1/4,7/27) -> (2/1,1/0) Matrix(323,-84,1242,-323) -> Matrix(1,22,0,-1) (7/27,6/23) -> (-11/1,1/0) Matrix(1025,-268,1832,-479) -> Matrix(1,8,4,33) Matrix(349,-92,808,-213) -> Matrix(1,4,2,7) Matrix(859,-228,162,-43) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(321,-86,698,-187) -> Matrix(1,2,0,1) 1/0 Matrix(1259,-340,374,-101) -> Matrix(1,0,0,1) Matrix(399,-110,214,-59) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(1091,-302,1492,-413) -> Matrix(1,2,4,9) Matrix(373,-104,850,-237) -> Matrix(1,2,2,3) Matrix(609,-172,478,-135) -> Matrix(5,6,4,5) Matrix(341,-100,474,-139) -> Matrix(1,0,2,1) 0/1 Matrix(1785,-526,526,-155) -> Matrix(1,-2,0,1) 1/0 Matrix(839,-248,998,-295) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(577,-172,104,-31) -> Matrix(1,0,0,1) Matrix(79,-24,260,-79) -> Matrix(-1,0,2,1) (3/10,4/13) -> (-1/1,0/1) Matrix(129,-40,416,-129) -> Matrix(1,0,4,-1) (4/13,5/16) -> (0/1,1/2) Matrix(2303,-722,622,-195) -> Matrix(3,-2,-2,1) Matrix(3001,-944,1758,-553) -> Matrix(5,-2,2,-1) Matrix(827,-262,464,-147) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(175,-62,302,-107) -> Matrix(1,-2,2,-5) Matrix(251,-90,700,-251) -> Matrix(-1,8,0,1) (5/14,9/25) -> (4/1,1/0) Matrix(199,-72,550,-199) -> Matrix(1,6,0,-1) (9/25,4/11) -> (-3/1,1/0) Matrix(173,-64,100,-37) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(221,-84,50,-19) -> Matrix(1,2,0,1) 1/0 Matrix(269,-104,344,-133) -> Matrix(3,4,4,5) Matrix(441,-172,782,-305) -> Matrix(3,2,8,5) Matrix(757,-298,536,-211) -> Matrix(9,4,2,1) Matrix(121,-50,288,-119) -> Matrix(1,0,8,1) 0/1 Matrix(503,-212,382,-161) -> Matrix(11,-2,6,-1) Matrix(835,-354,526,-223) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1281,-556,758,-329) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(2463,-1072,664,-289) -> Matrix(1,-2,0,1) 1/0 Matrix(995,-434,94,-41) -> Matrix(1,0,0,1) Matrix(3409,-1488,7810,-3409) -> Matrix(-1,0,2,1) (24/55,31/71) -> (-1/1,0/1) Matrix(993,-434,2272,-993) -> Matrix(1,0,4,-1) (31/71,7/16) -> (0/1,1/2) Matrix(259,-114,284,-125) -> Matrix(1,0,0,1) Matrix(491,-222,188,-85) -> Matrix(1,0,-2,1) 0/1 Matrix(957,-436,608,-277) -> Matrix(1,-2,-2,3) Matrix(769,-352,1680,-769) -> Matrix(-1,2,0,1) (16/35,11/24) -> (1/1,1/0) Matrix(557,-258,326,-151) -> Matrix(1,2,0,1) 1/0 Matrix(23,-12,44,-23) -> Matrix(1,0,0,-1) (1/2,6/11) -> (0/1,1/0) Matrix(241,-132,440,-241) -> Matrix(1,0,20,-1) (6/11,11/20) -> (0/1,1/10) Matrix(481,-266,132,-73) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(983,-548,174,-97) -> Matrix(1,0,-6,1) 0/1 Matrix(2421,-1354,1046,-585) -> Matrix(17,-4,4,-1) Matrix(457,-256,698,-391) -> Matrix(7,-2,4,-1) Matrix(1721,-966,522,-293) -> Matrix(15,-4,-4,1) Matrix(1085,-614,956,-541) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(4797,-2716,1390,-787) -> Matrix(5,-2,-2,1) Matrix(1431,-812,608,-345) -> Matrix(3,-2,2,-1) 1/1 Matrix(539,-310,346,-199) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1531,-884,646,-373) -> Matrix(3,-2,2,-1) 1/1 Matrix(235,-138,172,-101) -> Matrix(3,-2,2,-1) 1/1 Matrix(403,-244,550,-333) -> Matrix(1,0,2,1) 0/1 Matrix(3297,-2008,1394,-849) -> Matrix(5,-2,2,-1) Matrix(6929,-4224,4224,-2575) -> Matrix(3,-2,2,-1) 1/1 Matrix(1435,-876,1014,-619) -> Matrix(9,-4,2,-1) Matrix(885,-542,338,-207) -> Matrix(3,-2,-4,3) Matrix(337,-208,546,-337) -> Matrix(7,-6,8,-7) (8/13,13/21) -> (3/4,1/1) Matrix(209,-130,336,-209) -> Matrix(3,-4,2,-3) (13/21,5/8) -> (1/1,2/1) Matrix(187,-118,84,-53) -> Matrix(1,0,0,1) Matrix(269,-172,208,-133) -> Matrix(3,-4,2,-3) *** -> (1/1,2/1) Matrix(393,-254,82,-53) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(783,-508,578,-375) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(2533,-1650,1070,-697) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(141,-98,200,-139) -> Matrix(1,0,6,1) 0/1 Matrix(1435,-1014,876,-619) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(1831,-1296,1434,-1015) -> Matrix(19,-4,14,-3) Matrix(815,-578,478,-339) -> Matrix(9,-2,4,-1) Matrix(3397,-2450,2450,-1767) -> Matrix(9,2,4,1) Matrix(749,-542,474,-343) -> Matrix(1,0,-4,1) 0/1 Matrix(551,-402,196,-143) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(97,-74,38,-29) -> Matrix(3,-2,-2,1) Matrix(419,-330,532,-419) -> Matrix(17,-16,18,-17) (11/14,15/19) -> (8/9,1/1) Matrix(151,-120,190,-151) -> Matrix(5,-6,4,-5) (15/19,4/5) -> (1/1,3/2) Matrix(131,-108,74,-61) -> Matrix(1,0,0,1) Matrix(293,-250,184,-157) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1113,-962,656,-567) -> Matrix(3,-2,2,-1) 1/1 Matrix(2003,-1738,582,-505) -> Matrix(1,-2,0,1) 1/0 Matrix(1091,-950,472,-411) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(127,-112,144,-127) -> Matrix(1,0,0,-1) (7/8,8/9) -> (0/1,1/0) Matrix(161,-144,180,-161) -> Matrix(1,0,4,-1) (8/9,9/10) -> (0/1,1/2) Matrix(145,-162,128,-143) -> Matrix(1,-2,0,1) 1/0 Matrix(173,-200,32,-37) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(141,-166,62,-73) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(107,-132,30,-37) -> Matrix(1,0,-2,1) 0/1 Matrix(151,-190,120,-151) -> Matrix(3,-2,4,-3) (5/4,19/15) -> (1/2,1/1) Matrix(419,-532,330,-419) -> Matrix(11,-12,10,-11) (19/15,14/11) -> (1/1,6/5) Matrix(373,-478,238,-305) -> Matrix(1,-2,-2,3) Matrix(251,-328,88,-115) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(2709,-3548,1030,-1349) -> Matrix(1,-2,-2,3) Matrix(1691,-2218,1030,-1351) -> Matrix(1,-2,-2,3) Matrix(1071,-1444,290,-391) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(1793,-2424,520,-703) -> Matrix(1,-2,0,1) 1/0 Matrix(995,-1352,432,-587) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(663,-902,86,-117) -> Matrix(1,-2,0,1) 1/0 Matrix(185,-256,86,-119) -> Matrix(1,-2,2,-3) 1/1 Matrix(2053,-2844,1482,-2053) -> Matrix(11,-20,6,-11) (18/13,79/57) -> (5/3,2/1) Matrix(6953,-9638,5016,-6953) -> Matrix(33,-68,16,-33) (79/57,61/44) -> (2/1,17/8) Matrix(741,-1028,142,-197) -> Matrix(1,-2,2,-5) Matrix(939,-1306,284,-395) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2431,-3384,426,-593) -> Matrix(1,-2,-2,5) Matrix(313,-436,28,-39) -> Matrix(1,-2,0,1) 1/0 Matrix(353,-498,56,-79) -> Matrix(1,-4,0,1) 1/0 Matrix(239,-340,168,-239) -> Matrix(-1,12,0,1) (17/12,10/7) -> (6/1,1/0) Matrix(41,-60,28,-41) -> Matrix(1,0,0,-1) (10/7,3/2) -> (0/1,1/0) Matrix(2705,-4264,1716,-2705) -> Matrix(-1,0,4,1) (52/33,41/26) -> (-1/2,0/1) Matrix(1701,-2684,950,-1499) -> Matrix(5,2,2,1) Matrix(209,-336,130,-209) -> Matrix(-1,0,2,1) (8/5,21/13) -> (-1/1,0/1) Matrix(337,-546,208,-337) -> Matrix(1,0,4,-1) (21/13,13/8) -> (0/1,1/2) Matrix(219,-358,52,-85) -> Matrix(1,0,0,1) Matrix(21631,-35490,13184,-21631) -> Matrix(-1,2,0,1) (105/64,169/103) -> (1/1,1/0) Matrix(13183,-21632,8034,-13183) -> Matrix(1,2,0,-1) (169/103,64/39) -> (-1/1,1/0) Matrix(347,-572,128,-211) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1025,-1728,608,-1025) -> Matrix(7,-8,6,-7) (32/19,27/16) -> (1/1,4/3) Matrix(1527,-2588,580,-983) -> Matrix(1,-2,-2,3) Matrix(1159,-1968,202,-343) -> Matrix(1,-2,-4,7) Matrix(4319,-7376,1256,-2145) -> Matrix(1,-4,0,1) 1/0 Matrix(1477,-2636,562,-1003) -> Matrix(1,-2,0,1) 1/0 Matrix(1025,-1832,268,-479) -> Matrix(1,-2,-4,9) Matrix(693,-1244,122,-219) -> Matrix(1,-2,-2,5) Matrix(133,-242,72,-131) -> Matrix(1,-6,0,1) 1/0 Matrix(321,-698,86,-187) -> Matrix(3,-2,-4,3) Matrix(629,-1444,186,-427) -> Matrix(1,-2,0,1) 1/0 Matrix(183,-430,20,-47) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(607,-1432,142,-335) -> Matrix(1,-2,2,-5) Matrix(191,-456,80,-191) -> Matrix(-1,8,0,1) (19/8,12/5) -> (4/1,1/0) Matrix(49,-120,20,-49) -> Matrix(1,2,0,-1) (12/5,5/2) -> (-1/1,1/0) Matrix(267,-718,74,-199) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(119,-324,18,-49) -> Matrix(1,0,2,1) 0/1 Matrix(199,-550,72,-199) -> Matrix(-1,0,8,1) (11/4,25/9) -> (-1/4,0/1) Matrix(251,-700,90,-251) -> Matrix(1,0,10,-1) (25/9,14/5) -> (0/1,1/5) Matrix(105,-338,32,-103) -> Matrix(1,-4,0,1) 1/0 Matrix(2729,-9240,806,-2729) -> Matrix(-1,2,0,1) (44/13,105/31) -> (1/1,1/0) Matrix(3781,-12810,1116,-3781) -> Matrix(1,10,0,-1) (105/31,61/18) -> (-5/1,1/0) Matrix(293,-1000,46,-157) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(661,-2262,154,-527) -> Matrix(1,0,2,1) 0/1 Matrix(1105,-3792,322,-1105) -> Matrix(1,2,0,-1) (24/7,79/23) -> (-1/1,1/0) Matrix(2529,-8690,736,-2529) -> Matrix(1,4,0,-1) (79/23,55/16) -> (-2/1,1/0) Matrix(2413,-8978,648,-2411) -> Matrix(11,12,-12,-13) -1/1 Matrix(2425,-9032,432,-1609) -> Matrix(9,8,-10,-9) *** -> (-1/1,-4/5) Matrix(121,-458,14,-53) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(323,-1242,84,-323) -> Matrix(-1,0,12,1) (23/6,27/7) -> (-1/6,0/1) Matrix(55,-216,14,-55) -> Matrix(1,0,2,-1) (27/7,4/1) -> (0/1,1/1) Matrix(865,-3724,154,-663) -> Matrix(5,-4,-6,5) Matrix(55,-252,12,-55) -> Matrix(-1,2,0,1) (9/2,14/3) -> (1/1,1/0) Matrix(113,-532,24,-113) -> Matrix(1,4,0,-1) (14/3,19/4) -> (-2/1,1/0) Matrix(231,-1334,40,-231) -> Matrix(-1,0,8,1) (23/4,29/5) -> (-1/4,0/1) Matrix(59,-348,10,-59) -> Matrix(1,0,2,-1) (29/5,6/1) -> (0/1,1/1) Matrix(61,-450,8,-59) -> Matrix(1,-2,0,1) 1/0 ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.