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: 96 Genus: 97 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/1 -8/1 -7/1 -6/1 -17/3 -11/2 -16/3 -5/1 -4/1 -17/5 -13/4 -35/11 -3/1 -14/5 -5/2 -26/11 -16/7 -11/5 -2/1 -1/1 -5/8 -14/23 -13/22 -1/2 -7/16 -2/5 -5/14 -7/22 -4/13 -10/37 -1/4 -2/11 -2/17 -1/10 0/1 1/8 1/5 1/4 2/7 4/11 5/13 1/2 19/35 10/17 7/11 11/16 3/4 4/5 1/1 13/11 5/4 7/5 16/11 3/2 11/7 28/17 17/10 7/4 23/13 2/1 37/17 9/4 25/11 7/3 19/8 5/2 13/5 8/3 11/4 3/1 16/5 55/17 13/4 10/3 7/2 11/3 4/1 29/7 17/4 13/3 9/2 14/3 5/1 16/3 11/2 28/5 17/3 6/1 31/5 13/2 7/1 15/2 8/1 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -9/1 -4/5 -8/1 -3/4 -1/2 -7/1 -1/1 -13/2 -1/2 -6/1 -3/4 -1/2 -17/3 -3/5 -11/2 -1/2 -27/5 -1/3 -43/8 -1/3 0/1 -16/3 -1/2 -1/4 -21/4 -1/3 0/1 -5/1 0/1 -19/4 1/0 -33/7 -3/1 -14/3 -3/2 -5/4 -9/2 -3/4 -22/5 -7/12 -1/2 -35/8 -1/2 -13/3 -1/3 -17/4 0/1 1/1 -21/5 -2/1 -4/1 -1/1 -19/5 -5/7 -15/4 -2/3 -3/5 -26/7 -9/16 -1/2 -37/10 -1/2 -11/3 0/1 -40/11 -1/2 1/0 -69/19 1/1 -29/8 1/0 -18/5 -3/2 1/0 -7/2 -3/4 -17/5 -2/3 -10/3 -5/8 -1/2 -23/7 -4/7 -13/4 -1/2 -29/9 -4/9 -16/5 -1/2 -3/8 -35/11 0/1 -19/6 -1/2 -3/1 -1/1 -17/6 1/0 -14/5 -1/1 -25/9 -4/5 -11/4 -1/1 -2/3 -19/7 -2/3 -27/10 -1/2 -8/3 -1/2 1/0 -21/8 -1/1 -4/5 -55/21 -5/7 -34/13 -1/1 -13/5 -2/3 -31/12 -2/3 -3/5 -18/7 -3/4 -1/2 -41/16 -2/3 -11/17 -23/9 -3/5 -5/2 -1/2 -22/9 -1/4 -1/6 -39/16 0/1 1/1 -17/7 -1/3 -12/5 -1/2 1/0 -19/8 -1/1 -2/3 -64/27 -7/12 -1/2 -45/19 -1/3 -71/30 1/0 -26/11 -1/1 -59/25 -5/7 -33/14 -5/8 -7/3 0/1 -23/10 1/0 -16/7 -1/1 -41/18 -3/4 -66/29 -3/4 -1/2 -25/11 -1/1 -9/4 -1/1 -2/3 -38/17 -2/3 -67/30 -11/18 -29/13 -4/7 -20/9 -1/2 -1/4 -11/5 -1/1 -24/11 -3/4 -1/2 -13/6 -1/2 -2/1 -1/2 1/0 -1/1 0/1 -2/3 1/2 1/0 -13/20 -2/1 -1/1 -11/17 -1/1 -9/14 1/0 -16/25 0/1 -23/36 0/1 1/1 -7/11 0/1 -33/52 -1/1 0/1 -26/41 0/1 -71/112 0/1 1/1 -45/71 1/3 -19/30 1/2 -12/19 3/2 1/0 -17/27 1/1 -22/35 5/2 1/0 -5/8 1/0 -23/37 -3/1 -18/29 -7/4 -3/2 -13/21 0/1 -34/55 -2/1 -89/144 -3/1 -2/1 -55/89 -5/3 -21/34 -3/2 -8/13 -1/2 1/0 -19/31 0/1 -11/18 -1/2 -25/41 0/1 -14/23 0/1 -17/28 0/1 1/3 -3/5 1/1 -19/32 3/1 4/1 -16/27 11/2 1/0 -13/22 1/0 -36/61 -25/2 1/0 -23/39 -8/1 -10/17 -7/2 1/0 -17/29 -2/1 -7/12 -2/1 -1/1 -18/31 -5/6 -3/4 -29/50 -1/2 -69/119 -1/1 -40/69 -1/2 1/0 -11/19 -2/3 -15/26 -1/4 -34/59 1/4 1/2 -19/33 -1/1 -4/7 0/1 -17/30 1/0 -30/53 1/6 1/4 -13/23 1/3 -9/16 2/3 1/1 -14/25 5/4 3/2 -33/59 1/1 -19/34 3/2 -5/9 2/1 -16/29 13/2 1/0 -11/20 1/0 -6/11 -5/2 1/0 -7/13 -1/1 -8/15 -1/2 -1/4 -1/2 1/0 -6/13 1/4 1/2 -17/37 4/7 -11/24 2/3 1/1 -5/11 1/1 -14/31 11/8 3/2 -9/20 1/1 2/1 -22/49 2/1 -13/29 2/1 -30/67 5/2 1/0 -17/38 1/0 -21/47 1/1 -25/56 5/3 2/1 -4/9 5/2 1/0 -11/25 7/1 -7/16 1/0 -17/39 -11/1 -27/62 -17/2 -10/23 -13/2 1/0 -3/7 -2/1 -14/33 -5/2 1/0 -11/26 -3/2 -30/71 -3/2 -11/8 -19/45 -1/1 -27/64 -2/1 -1/1 -8/19 -3/2 -5/4 -5/12 -1/1 -2/3 -7/17 -1/3 -9/22 1/0 -2/5 0/1 -9/23 1/1 -7/18 1/4 -19/49 1/3 -12/31 5/12 1/2 -5/13 2/3 -13/34 1/2 -34/89 5/8 9/14 -21/55 1/1 -29/76 2/3 5/7 -8/21 3/4 5/6 -3/8 1/1 2/1 -10/27 5/4 3/2 -17/46 7/4 -7/19 2/1 -4/11 7/2 1/0 -9/25 8/1 -5/14 1/0 -6/17 -11/2 1/0 -1/3 -1/1 -7/22 1/0 -6/19 -3/4 -1/2 -11/35 0/1 -5/16 -1/3 0/1 -4/13 0/1 -11/36 0/1 1/5 -7/23 0/1 -3/10 1/2 -5/17 0/1 -2/7 1/2 1/0 -5/18 3/2 -8/29 2/1 -19/69 1/1 -11/40 2/1 3/1 -3/11 0/1 -13/48 4/5 1/1 -10/37 1/1 -7/26 5/4 -11/41 1/1 -4/15 3/2 7/4 -9/34 9/4 -5/19 3/1 -1/4 1/0 -5/21 -2/1 -9/38 1/0 -4/17 -5/2 1/0 -7/30 -7/4 -3/13 -1/1 -8/35 -1/1 -5/22 -1/2 -7/31 0/1 -2/9 -3/2 1/0 -3/14 -1/2 -7/33 -1/3 -4/19 0/1 -1/5 0/1 -5/26 -1/2 -9/47 -1/3 -13/68 -1/7 0/1 -4/21 1/2 1/0 -7/37 -1/1 -3/16 -1/1 0/1 -2/11 0/1 -5/28 0/1 1/3 -8/45 1/2 1/0 -3/17 1/1 -1/6 1/0 -2/13 -1/2 1/0 -3/20 0/1 1/1 -4/27 1/2 1/0 -1/7 1/1 -1/8 1/1 2/1 -4/33 5/2 1/0 -3/25 3/1 -2/17 2/1 -1/9 4/1 -1/10 1/0 0/1 -1/2 1/0 1/9 3/1 1/8 1/0 1/7 -4/1 2/13 -3/1 5/32 -3/1 -8/3 3/19 -3/1 4/25 -5/2 -9/4 1/6 1/0 3/17 -2/1 5/28 1/0 2/11 -3/2 1/0 1/5 -1/1 4/19 1/2 1/0 7/33 -4/1 3/14 -3/2 5/23 -2/3 2/9 1/2 1/0 5/22 1/0 3/13 -4/1 7/30 -11/4 11/47 -7/3 4/17 -2/1 5/21 -3/1 6/25 -5/2 -9/4 1/4 -2/1 -1/1 4/15 -3/2 -5/4 7/26 1/0 3/11 -1/1 2/7 -1/1 5/17 -1/1 8/27 -3/4 -1/2 3/10 -1/2 4/13 -1/2 -1/4 5/16 1/0 1/3 0/1 6/17 -9/2 1/0 5/14 -5/2 4/11 -1/1 11/30 -1/2 7/19 1/1 10/27 -7/2 1/0 23/62 1/0 13/35 -2/1 16/43 -7/2 1/0 3/8 -2/1 -1/1 8/21 -3/2 -5/4 5/13 -1/1 12/31 -7/8 -5/6 7/18 -3/4 2/5 -1/2 1/0 7/17 0/1 5/12 -1/3 0/1 13/31 0/1 8/19 0/1 11/26 1/6 14/33 1/4 3/10 3/7 1/1 4/9 1/4 1/2 13/29 1/1 9/20 2/3 1/1 5/11 0/1 1/2 1/0 7/13 -4/1 13/24 -16/5 -3/1 19/35 -3/1 6/11 -11/4 -5/2 11/20 -3/1 -2/1 5/9 -3/1 4/7 -3/2 1/0 19/33 -4/1 34/59 -3/1 15/26 1/0 11/19 -3/1 7/12 -3/1 -2/1 10/17 -2/1 13/22 -11/6 16/27 -7/4 -3/2 3/5 -2/1 14/23 -3/2 -17/12 11/18 -3/2 19/31 -1/1 8/13 -1/1 21/34 -5/2 13/21 -5/3 18/29 -3/2 -17/12 41/66 -5/4 23/37 -4/3 5/8 -4/3 -1/1 12/19 -7/6 -9/8 7/11 -1/1 16/25 -7/8 -5/6 9/14 -3/4 2/3 -1/2 1/0 11/16 1/0 20/29 -19/2 1/0 49/71 -8/1 29/42 -15/2 38/55 -6/1 9/13 -5/1 16/23 -3/1 23/33 -4/1 7/10 1/0 26/37 -3/1 45/64 -3/1 -20/7 19/27 -3/1 12/17 -11/4 -5/2 5/7 -2/1 13/18 -3/2 21/29 -5/3 29/40 -7/4 37/51 -12/7 45/62 -37/22 8/11 -13/8 -3/2 11/15 -7/5 3/4 -2/1 -1/1 13/17 -1/1 23/30 1/0 10/13 -3/2 -11/8 17/22 -5/4 24/31 -7/6 -9/8 55/71 -1/1 31/40 -1/1 0/1 38/49 -1/1 7/9 -4/3 4/5 -1/1 9/11 -4/5 14/17 -3/4 -1/2 5/6 -1/2 21/25 -3/5 16/19 -1/2 -1/4 27/32 -1/1 0/1 11/13 0/1 6/7 -1/2 1/0 7/8 -1/2 8/9 -1/4 -1/6 9/10 1/4 1/1 -1/1 8/7 0/1 7/6 1/0 20/17 3/2 1/0 33/28 -1/1 0/1 13/11 0/1 19/16 0/1 1/1 6/5 3/2 1/0 5/4 1/0 14/11 -13/2 1/0 23/18 1/0 32/25 -5/1 9/7 -4/1 22/17 -4/1 13/10 -7/2 17/13 -3/1 4/3 -5/2 1/0 15/11 -7/3 26/19 -2/1 11/8 -2/1 -1/1 40/29 -2/1 29/21 -1/1 18/13 -5/2 1/0 7/5 -2/1 17/12 -2/1 -5/3 27/19 -11/7 64/45 -49/32 -3/2 37/26 -3/2 10/7 -3/2 -5/4 53/37 -1/1 96/67 -15/16 -13/14 43/30 -5/6 33/23 0/1 23/16 1/0 13/9 -1/1 55/38 1/0 42/29 -3/2 1/0 29/20 -3/1 -2/1 16/11 -2/1 3/2 -3/2 14/9 -7/6 -9/8 11/7 -1/1 30/19 -15/16 -13/14 19/12 -1/1 -8/9 8/5 -3/4 -1/2 45/28 -1/1 -2/3 37/23 -2/3 29/18 -1/2 21/13 -1/1 13/8 -1/2 44/27 -1/2 -1/4 31/19 -1/3 49/30 -1/4 116/71 -1/6 -1/8 67/41 0/1 18/11 -1/2 1/0 23/14 -1/4 28/17 0/1 5/3 0/1 27/16 2/1 3/1 22/13 9/2 1/0 17/10 1/0 46/27 -27/2 1/0 29/17 -9/1 12/7 -9/2 1/0 19/11 -3/1 26/15 -5/2 -9/4 59/34 -5/2 33/19 -2/1 7/4 -3/1 -2/1 30/17 -13/6 -17/8 23/13 -2/1 62/35 -39/20 -35/18 39/22 -23/12 16/9 -11/6 -7/4 9/5 -5/3 20/11 -3/2 -17/12 11/6 -3/2 2/1 -1/1 13/6 -1/2 37/17 -1/1 24/11 -3/4 -1/2 11/5 -2/3 20/9 -1/2 -5/12 9/4 -1/3 0/1 34/15 -1/8 -1/10 25/11 0/1 66/29 1/14 1/12 41/18 1/8 16/7 1/4 1/2 7/3 1/1 33/14 1/0 59/25 4/1 26/11 9/2 1/0 19/8 1/0 50/21 -23/2 1/0 31/13 -8/1 12/5 -7/2 1/0 29/12 -3/1 -2/1 17/7 -2/1 5/2 -3/2 18/7 -9/8 -11/10 13/5 -1/1 34/13 -17/18 -15/16 21/8 -1/1 -10/11 8/3 -5/6 -3/4 43/16 -5/7 -2/3 78/29 -3/4 -1/2 35/13 -2/3 62/23 -5/6 -3/4 27/10 -7/10 46/17 -2/3 19/7 -3/5 49/18 -3/4 79/29 -2/3 109/40 -2/3 -11/17 30/11 -5/8 -1/2 41/15 -4/7 52/19 -7/12 -1/2 11/4 -1/2 25/9 -1/3 39/14 -1/8 92/33 -1/16 -1/18 53/19 0/1 14/5 1/2 1/0 31/11 -1/1 17/6 1/0 3/1 0/1 16/5 0/1 29/9 -1/3 42/13 -1/6 -1/8 55/17 0/1 68/21 1/10 1/8 13/4 0/1 1/1 23/7 1/1 10/3 1/2 1/0 7/2 1/0 18/5 -7/2 1/0 47/13 -4/1 76/21 -7/2 -13/4 29/8 -4/1 -3/1 69/19 -8/3 40/11 -3/1 11/3 -3/1 26/7 -2/1 41/11 -2/1 56/15 -5/2 1/0 71/19 -3/1 15/4 -3/1 -2/1 19/5 -2/1 4/1 -3/2 1/0 33/8 -7/3 -2/1 29/7 -2/1 25/6 -7/4 21/5 -1/1 17/4 -3/2 47/11 -1/1 30/7 -3/2 -5/4 73/17 -1/1 43/10 -3/2 13/3 -4/3 22/5 -1/1 9/2 1/0 23/5 -8/5 37/8 -3/2 14/3 -3/2 -11/8 33/7 -4/3 19/4 -4/3 -1/1 24/5 -5/4 -17/14 5/1 -1/1 16/3 -1/2 -1/4 11/2 -1/2 28/5 0/1 45/8 0/1 1/1 107/19 1/1 62/11 1/2 1/0 17/3 0/1 6/1 -3/2 1/0 31/5 -2/1 56/9 -11/6 -7/4 25/4 -2/1 -5/3 19/3 -1/1 32/5 -3/2 1/0 45/7 -2/1 13/2 -3/2 7/1 -4/3 15/2 -9/8 8/1 -1/1 9/1 -1/1 10/1 -3/4 -1/2 1/0 -1/1 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(13,120,-48,-443) (-9/1,1/0) -> (-3/11,-13/48) Hyperbolic Matrix(51,448,-88,-773) (-9/1,-8/1) -> (-40/69,-11/19) Hyperbolic Matrix(21,164,16,125) (-8/1,-7/1) -> (17/13,4/3) Hyperbolic Matrix(45,296,-116,-763) (-7/1,-13/2) -> (-7/18,-19/49) Hyperbolic Matrix(33,212,40,257) (-13/2,-6/1) -> (14/17,5/6) Hyperbolic Matrix(83,480,60,347) (-6/1,-17/3) -> (29/21,18/13) Hyperbolic Matrix(87,484,-16,-89) (-17/3,-11/2) -> (-11/2,-27/5) Parabolic Matrix(49,264,312,1681) (-27/5,-43/8) -> (5/32,3/19) Hyperbolic Matrix(199,1064,124,663) (-43/8,-16/3) -> (8/5,45/28) Hyperbolic Matrix(25,132,-168,-887) (-16/3,-21/4) -> (-3/20,-4/27) Hyperbolic Matrix(61,312,-96,-491) (-21/4,-5/1) -> (-7/11,-33/52) Hyperbolic Matrix(9,44,28,137) (-5/1,-19/4) -> (5/16,1/3) Hyperbolic Matrix(203,960,48,227) (-19/4,-33/7) -> (21/5,17/4) Hyperbolic Matrix(107,504,252,1187) (-33/7,-14/3) -> (14/33,3/7) Hyperbolic Matrix(51,232,20,91) (-14/3,-9/2) -> (5/2,18/7) Hyperbolic Matrix(105,464,-284,-1255) (-9/2,-22/5) -> (-10/27,-17/46) Hyperbolic Matrix(297,1304,64,281) (-22/5,-35/8) -> (37/8,14/3) Hyperbolic Matrix(11,48,96,419) (-35/8,-13/3) -> (1/9,1/8) Hyperbolic Matrix(185,796,-76,-327) (-13/3,-17/4) -> (-39/16,-17/7) Hyperbolic Matrix(123,520,-268,-1133) (-17/4,-21/5) -> (-17/37,-11/24) Hyperbolic Matrix(103,428,148,615) (-21/5,-4/1) -> (16/23,23/33) Hyperbolic Matrix(89,340,128,489) (-4/1,-19/5) -> (9/13,16/23) Hyperbolic Matrix(297,1124,-116,-439) (-19/5,-15/4) -> (-41/16,-23/9) Hyperbolic Matrix(119,444,-264,-985) (-15/4,-26/7) -> (-14/31,-9/20) Hyperbolic Matrix(359,1332,252,935) (-26/7,-37/10) -> (37/26,10/7) Hyperbolic Matrix(13,48,-120,-443) (-37/10,-11/3) -> (-1/9,-1/10) Hyperbolic Matrix(81,296,136,497) (-11/3,-40/11) -> (16/27,3/5) Hyperbolic Matrix(109,396,684,2485) (-40/11,-69/19) -> (3/19,4/25) Hyperbolic Matrix(699,2536,164,595) (-69/19,-29/8) -> (17/4,47/11) Hyperbolic Matrix(83,300,96,347) (-29/8,-18/5) -> (6/7,7/8) Hyperbolic Matrix(43,152,28,99) (-18/5,-7/2) -> (3/2,14/9) Hyperbolic Matrix(75,256,104,355) (-7/2,-17/5) -> (5/7,13/18) Hyperbolic Matrix(31,104,76,255) (-17/5,-10/3) -> (2/5,7/17) Hyperbolic Matrix(93,308,16,53) (-10/3,-23/7) -> (17/3,6/1) Hyperbolic Matrix(207,676,-64,-209) (-23/7,-13/4) -> (-13/4,-29/9) Parabolic Matrix(131,420,228,731) (-29/9,-16/5) -> (4/7,19/33) Hyperbolic Matrix(1071,3412,296,943) (-16/5,-35/11) -> (47/13,76/21) Hyperbolic Matrix(331,1052,892,2835) (-35/11,-19/6) -> (23/62,13/35) Hyperbolic Matrix(351,1108,-568,-1793) (-19/6,-3/1) -> (-55/89,-21/34) Hyperbolic Matrix(155,444,96,275) (-3/1,-17/6) -> (29/18,21/13) Hyperbolic Matrix(177,500,40,113) (-17/6,-14/5) -> (22/5,9/2) Hyperbolic Matrix(263,732,60,167) (-14/5,-25/9) -> (13/3,22/5) Hyperbolic Matrix(101,280,224,621) (-25/9,-11/4) -> (9/20,5/11) Hyperbolic Matrix(147,400,104,283) (-11/4,-19/7) -> (7/5,17/12) Hyperbolic Matrix(105,284,-464,-1255) (-19/7,-27/10) -> (-5/22,-7/31) Hyperbolic Matrix(233,628,128,345) (-27/10,-8/3) -> (20/11,11/6) Hyperbolic Matrix(111,292,176,463) (-8/3,-21/8) -> (5/8,12/19) Hyperbolic Matrix(423,1108,-712,-1865) (-21/8,-55/21) -> (-3/5,-19/32) Hyperbolic Matrix(1313,3436,-556,-1455) (-55/21,-34/13) -> (-26/11,-59/25) Hyperbolic Matrix(23,60,156,407) (-34/13,-13/5) -> (1/7,2/13) Hyperbolic Matrix(181,468,432,1117) (-13/5,-31/12) -> (5/12,13/31) Hyperbolic Matrix(45,116,-296,-763) (-31/12,-18/7) -> (-2/13,-3/20) Hyperbolic Matrix(529,1356,300,769) (-18/7,-41/16) -> (7/4,30/17) Hyperbolic Matrix(69,176,256,653) (-23/9,-5/2) -> (7/26,3/11) Hyperbolic Matrix(173,424,224,549) (-5/2,-22/9) -> (10/13,17/22) Hyperbolic Matrix(625,1524,276,673) (-22/9,-39/16) -> (9/4,34/15) Hyperbolic Matrix(103,248,76,183) (-17/7,-12/5) -> (4/3,15/11) Hyperbolic Matrix(79,188,208,495) (-12/5,-19/8) -> (3/8,8/21) Hyperbolic Matrix(1051,2492,892,2115) (-19/8,-64/27) -> (20/17,33/28) Hyperbolic Matrix(1945,4608,1368,3241) (-64/27,-45/19) -> (27/19,64/45) Hyperbolic Matrix(1105,2616,264,625) (-45/19,-71/30) -> (25/6,21/5) Hyperbolic Matrix(1185,2804,2056,4865) (-71/30,-26/11) -> (34/59,15/26) Hyperbolic Matrix(239,564,264,623) (-59/25,-33/14) -> (9/10,1/1) Hyperbolic Matrix(107,252,504,1187) (-33/14,-7/3) -> (7/33,3/14) Hyperbolic Matrix(81,188,28,65) (-7/3,-23/10) -> (17/6,3/1) Hyperbolic Matrix(447,1024,-196,-449) (-23/10,-16/7) -> (-16/7,-41/18) Parabolic Matrix(847,1928,2284,5199) (-41/18,-66/29) -> (10/27,23/62) Hyperbolic Matrix(1693,3852,396,901) (-66/29,-25/11) -> (47/11,30/7) Hyperbolic Matrix(141,320,256,581) (-25/11,-9/4) -> (11/20,5/9) Hyperbolic Matrix(1311,2932,-2068,-4625) (-9/4,-38/17) -> (-26/41,-71/112) Hyperbolic Matrix(1633,3648,2364,5281) (-38/17,-67/30) -> (29/42,38/55) Hyperbolic Matrix(1695,3784,2336,5215) (-67/30,-29/13) -> (37/51,45/62) Hyperbolic Matrix(675,1504,-1144,-2549) (-29/13,-20/9) -> (-36/61,-23/39) Hyperbolic Matrix(119,264,-444,-985) (-20/9,-11/5) -> (-11/41,-4/15) Hyperbolic Matrix(31,68,-212,-465) (-11/5,-24/11) -> (-4/27,-1/7) Hyperbolic Matrix(123,268,-520,-1133) (-24/11,-13/6) -> (-9/38,-4/17) Hyperbolic Matrix(95,204,156,335) (-13/6,-2/1) -> (14/23,11/18) Hyperbolic Matrix(3,4,-4,-5) (-2/1,-1/1) -> (-1/1,-2/3) Parabolic Matrix(521,340,308,201) (-2/3,-13/20) -> (27/16,22/13) Hyperbolic Matrix(413,268,920,597) (-13/20,-11/17) -> (13/29,9/20) Hyperbolic Matrix(409,264,708,457) (-11/17,-9/14) -> (15/26,11/19) Hyperbolic Matrix(299,192,204,131) (-9/14,-16/25) -> (16/11,3/2) Hyperbolic Matrix(1301,832,896,573) (-16/25,-23/36) -> (29/20,16/11) Hyperbolic Matrix(1397,892,296,189) (-23/36,-7/11) -> (33/7,19/4) Hyperbolic Matrix(5417,3436,-8764,-5559) (-33/52,-26/41) -> (-34/55,-89/144) Hyperbolic Matrix(4127,2616,-9240,-5857) (-71/112,-45/71) -> (-21/47,-25/56) Hyperbolic Matrix(985,624,1176,745) (-45/71,-19/30) -> (5/6,21/25) Hyperbolic Matrix(493,312,1272,805) (-19/30,-12/19) -> (12/31,7/18) Hyperbolic Matrix(685,432,972,613) (-12/19,-17/27) -> (19/27,12/17) Hyperbolic Matrix(1265,796,-2236,-1407) (-17/27,-22/35) -> (-30/53,-13/23) Hyperbolic Matrix(191,120,1068,671) (-22/35,-5/8) -> (5/28,2/11) Hyperbolic Matrix(1241,772,1712,1065) (-5/8,-23/37) -> (21/29,29/40) Hyperbolic Matrix(1809,1124,-3140,-1951) (-23/37,-18/29) -> (-34/59,-19/33) Hyperbolic Matrix(187,116,856,531) (-18/29,-13/21) -> (5/23,2/9) Hyperbolic Matrix(97,60,-852,-527) (-13/21,-34/55) -> (-2/17,-1/9) Hyperbolic Matrix(2453,1516,-12820,-7923) (-89/144,-55/89) -> (-9/47,-13/68) Hyperbolic Matrix(661,408,1032,637) (-21/34,-8/13) -> (16/25,9/14) Hyperbolic Matrix(371,228,96,59) (-8/13,-19/31) -> (19/5,4/1) Hyperbolic Matrix(653,400,-1768,-1083) (-19/31,-11/18) -> (-17/46,-7/19) Hyperbolic Matrix(459,280,-1936,-1181) (-11/18,-25/41) -> (-5/21,-9/38) Hyperbolic Matrix(1201,732,-2676,-1631) (-25/41,-14/23) -> (-22/49,-13/29) Hyperbolic Matrix(823,500,-1832,-1113) (-14/23,-17/28) -> (-9/20,-22/49) Hyperbolic Matrix(733,444,-1920,-1163) (-17/28,-3/5) -> (-21/55,-29/76) Hyperbolic Matrix(1417,840,528,313) (-19/32,-16/27) -> (8/3,43/16) Hyperbolic Matrix(1143,676,-1936,-1145) (-16/27,-13/22) -> (-13/22,-36/61) Parabolic Matrix(523,308,-1136,-669) (-23/39,-10/17) -> (-6/13,-17/37) Hyperbolic Matrix(177,104,-788,-463) (-10/17,-17/29) -> (-7/31,-2/9) Hyperbolic Matrix(1045,612,432,253) (-17/29,-7/12) -> (29/12,17/7) Hyperbolic Matrix(949,552,600,349) (-7/12,-18/31) -> (30/19,19/12) Hyperbolic Matrix(517,300,-1632,-947) (-18/31,-29/50) -> (-7/22,-6/19) Hyperbolic Matrix(7195,4172,4972,2883) (-29/50,-69/119) -> (13/9,55/38) Hyperbolic Matrix(683,396,-5652,-3277) (-69/119,-40/69) -> (-4/33,-3/25) Hyperbolic Matrix(769,444,168,97) (-11/19,-15/26) -> (9/2,23/5) Hyperbolic Matrix(3913,2256,2208,1273) (-15/26,-34/59) -> (62/35,39/22) Hyperbolic Matrix(1523,876,1104,635) (-19/33,-4/7) -> (40/29,29/21) Hyperbolic Matrix(917,520,164,93) (-4/7,-17/30) -> (11/2,28/5) Hyperbolic Matrix(4153,2352,1824,1033) (-17/30,-30/53) -> (66/29,41/18) Hyperbolic Matrix(823,464,580,327) (-13/23,-9/16) -> (17/12,27/19) Hyperbolic Matrix(1069,600,408,229) (-9/16,-14/25) -> (34/13,21/8) Hyperbolic Matrix(815,456,84,47) (-14/25,-33/59) -> (9/1,10/1) Hyperbolic Matrix(1717,960,-3840,-2147) (-33/59,-19/34) -> (-17/38,-21/47) Hyperbolic Matrix(79,44,-404,-225) (-19/34,-5/9) -> (-1/5,-5/26) Hyperbolic Matrix(239,132,1128,623) (-5/9,-16/29) -> (4/19,7/33) Hyperbolic Matrix(719,396,1044,575) (-16/29,-11/20) -> (11/16,20/29) Hyperbolic Matrix(161,88,236,129) (-11/20,-6/11) -> (2/3,11/16) Hyperbolic Matrix(547,296,316,171) (-6/11,-7/13) -> (19/11,26/15) Hyperbolic Matrix(387,208,80,43) (-7/13,-8/15) -> (24/5,5/1) Hyperbolic Matrix(227,120,384,203) (-8/15,-1/2) -> (13/22,16/27) Hyperbolic Matrix(335,156,204,95) (-1/2,-6/13) -> (18/11,23/14) Hyperbolic Matrix(201,92,-1064,-487) (-11/24,-5/11) -> (-7/37,-3/16) Hyperbolic Matrix(1115,504,396,179) (-5/11,-14/31) -> (14/5,31/11) Hyperbolic Matrix(2937,1316,520,233) (-13/29,-30/67) -> (62/11,17/3) Hyperbolic Matrix(5281,2364,3648,1633) (-30/67,-17/38) -> (55/38,42/29) Hyperbolic Matrix(521,232,128,57) (-25/56,-4/9) -> (4/1,33/8) Hyperbolic Matrix(581,256,320,141) (-4/9,-11/25) -> (9/5,20/11) Hyperbolic Matrix(447,196,-1024,-449) (-11/25,-7/16) -> (-7/16,-17/39) Parabolic Matrix(955,416,4084,1779) (-17/39,-27/62) -> (7/30,11/47) Hyperbolic Matrix(4465,1944,1656,721) (-27/62,-10/23) -> (62/23,27/10) Hyperbolic Matrix(65,28,188,81) (-10/23,-3/7) -> (1/3,6/17) Hyperbolic Matrix(1187,504,252,107) (-3/7,-14/33) -> (14/3,33/7) Hyperbolic Matrix(1313,556,-3436,-1455) (-14/33,-11/26) -> (-13/34,-34/89) Hyperbolic Matrix(4865,2056,2804,1185) (-11/26,-30/71) -> (26/15,59/34) Hyperbolic Matrix(625,264,2616,1105) (-30/71,-19/45) -> (5/21,6/25) Hyperbolic Matrix(3241,1368,4608,1945) (-19/45,-27/64) -> (45/64,19/27) Hyperbolic Matrix(5415,2284,1496,631) (-27/64,-8/19) -> (76/21,29/8) Hyperbolic Matrix(495,208,188,79) (-8/19,-5/12) -> (21/8,8/3) Hyperbolic Matrix(183,76,248,103) (-5/12,-7/17) -> (11/15,3/4) Hyperbolic Matrix(185,76,-796,-327) (-7/17,-9/22) -> (-7/30,-3/13) Hyperbolic Matrix(549,224,424,173) (-9/22,-2/5) -> (22/17,13/10) Hyperbolic Matrix(653,256,176,69) (-2/5,-9/23) -> (11/3,26/7) Hyperbolic Matrix(297,116,-1124,-439) (-9/23,-7/18) -> (-9/34,-5/19) Hyperbolic Matrix(413,160,-2176,-843) (-19/49,-12/31) -> (-4/21,-7/37) Hyperbolic Matrix(1117,432,468,181) (-12/31,-5/13) -> (31/13,12/5) Hyperbolic Matrix(407,156,60,23) (-5/13,-13/34) -> (13/2,7/1) Hyperbolic Matrix(4891,1868,1516,579) (-34/89,-21/55) -> (29/9,42/13) Hyperbolic Matrix(1279,488,3436,1311) (-29/76,-8/21) -> (16/43,3/8) Hyperbolic Matrix(463,176,292,111) (-8/21,-3/8) -> (19/12,8/5) Hyperbolic Matrix(345,128,628,233) (-3/8,-10/27) -> (6/11,11/20) Hyperbolic Matrix(283,104,400,147) (-7/19,-4/11) -> (12/17,5/7) Hyperbolic Matrix(621,224,280,101) (-4/11,-9/25) -> (11/5,20/9) Hyperbolic Matrix(167,60,732,263) (-9/25,-5/14) -> (5/22,3/13) Hyperbolic Matrix(113,40,500,177) (-5/14,-6/17) -> (2/9,5/22) Hyperbolic Matrix(275,96,444,155) (-6/17,-1/3) -> (13/21,18/29) Hyperbolic Matrix(213,68,-1112,-355) (-1/3,-7/22) -> (-5/26,-9/47) Hyperbolic Matrix(2835,892,1052,331) (-6/19,-11/35) -> (35/13,62/23) Hyperbolic Matrix(1363,428,1156,363) (-11/35,-5/16) -> (33/28,13/11) Hyperbolic Matrix(207,64,-676,-209) (-5/16,-4/13) -> (-4/13,-11/36) Parabolic Matrix(1349,412,776,237) (-11/36,-7/23) -> (33/19,7/4) Hyperbolic Matrix(53,16,308,93) (-7/23,-3/10) -> (1/6,3/17) Hyperbolic Matrix(255,76,104,31) (-3/10,-5/17) -> (17/7,5/2) Hyperbolic Matrix(355,104,256,75) (-5/17,-2/7) -> (18/13,7/5) Hyperbolic Matrix(99,28,152,43) (-2/7,-5/18) -> (9/14,2/3) Hyperbolic Matrix(347,96,300,83) (-5/18,-8/29) -> (8/7,7/6) Hyperbolic Matrix(595,164,2536,699) (-8/29,-19/69) -> (11/47,4/17) Hyperbolic Matrix(2485,684,396,109) (-19/69,-11/40) -> (25/4,19/3) Hyperbolic Matrix(497,136,296,81) (-11/40,-3/11) -> (5/3,27/16) Hyperbolic Matrix(2913,788,4144,1121) (-13/48,-10/37) -> (26/37,45/64) Hyperbolic Matrix(935,252,1332,359) (-10/37,-7/26) -> (7/10,26/37) Hyperbolic Matrix(1281,344,1672,449) (-7/26,-11/41) -> (13/17,23/30) Hyperbolic Matrix(1129,300,636,169) (-4/15,-9/34) -> (39/22,16/9) Hyperbolic Matrix(489,128,340,89) (-5/19,-1/4) -> (23/16,13/9) Hyperbolic Matrix(615,148,428,103) (-1/4,-5/21) -> (33/23,23/16) Hyperbolic Matrix(1177,276,516,121) (-4/17,-7/30) -> (41/18,16/7) Hyperbolic Matrix(419,96,48,11) (-3/13,-8/35) -> (8/1,9/1) Hyperbolic Matrix(701,160,92,21) (-8/35,-5/22) -> (15/2,8/1) Hyperbolic Matrix(91,20,232,51) (-2/9,-3/14) -> (7/18,2/5) Hyperbolic Matrix(1187,252,504,107) (-3/14,-7/33) -> (7/3,33/14) Hyperbolic Matrix(227,48,960,203) (-7/33,-4/19) -> (4/17,5/21) Hyperbolic Matrix(137,28,44,9) (-4/19,-1/5) -> (3/1,16/5) Hyperbolic Matrix(4897,936,1512,289) (-13/68,-4/21) -> (68/21,13/4) Hyperbolic Matrix(87,16,-484,-89) (-3/16,-2/11) -> (-2/11,-5/28) Parabolic Matrix(1663,296,1972,351) (-5/28,-8/45) -> (16/19,27/32) Hyperbolic Matrix(1399,248,220,39) (-8/45,-3/17) -> (19/3,32/5) Hyperbolic Matrix(347,60,480,83) (-3/17,-1/6) -> (13/18,21/29) Hyperbolic Matrix(383,60,300,47) (-1/6,-2/13) -> (14/11,23/18) Hyperbolic Matrix(125,16,164,21) (-1/7,-1/8) -> (3/4,13/17) Hyperbolic Matrix(1273,156,204,25) (-1/8,-4/33) -> (56/9,25/4) Hyperbolic Matrix(1103,132,1596,191) (-3/25,-2/17) -> (38/55,9/13) Hyperbolic Matrix(677,64,476,45) (-1/10,0/1) -> (64/45,37/26) Hyperbolic Matrix(165,-16,196,-19) (0/1,1/9) -> (21/25,16/19) Hyperbolic Matrix(443,-60,96,-13) (1/8,1/7) -> (23/5,37/8) Hyperbolic Matrix(1619,-252,2088,-325) (2/13,5/32) -> (31/40,38/49) Hyperbolic Matrix(1921,-312,1176,-191) (4/25,1/6) -> (49/30,116/71) Hyperbolic Matrix(1529,-272,2108,-375) (3/17,5/28) -> (29/40,37/51) Hyperbolic Matrix(303,-56,92,-17) (2/11,1/5) -> (23/7,10/3) Hyperbolic Matrix(267,-56,596,-125) (1/5,4/19) -> (4/9,13/29) Hyperbolic Matrix(443,-96,60,-13) (3/14,5/23) -> (7/1,15/2) Hyperbolic Matrix(1549,-360,1080,-251) (3/13,7/30) -> (43/30,33/23) Hyperbolic Matrix(2845,-684,1044,-251) (6/25,1/4) -> (109/40,30/11) Hyperbolic Matrix(483,-128,200,-53) (1/4,4/15) -> (12/5,29/12) Hyperbolic Matrix(879,-236,1136,-305) (4/15,7/26) -> (17/22,24/31) Hyperbolic Matrix(57,-16,196,-55) (3/11,2/7) -> (2/7,5/17) Parabolic Matrix(1585,-468,972,-287) (5/17,8/27) -> (44/27,31/19) Hyperbolic Matrix(389,-116,332,-99) (8/27,3/10) -> (7/6,20/17) Hyperbolic Matrix(303,-92,56,-17) (3/10,4/13) -> (16/3,11/2) Hyperbolic Matrix(219,-68,248,-77) (4/13,5/16) -> (7/8,8/9) Hyperbolic Matrix(531,-188,692,-245) (6/17,5/14) -> (23/30,10/13) Hyperbolic Matrix(343,-124,556,-201) (5/14,4/11) -> (8/13,21/34) Hyperbolic Matrix(1213,-444,948,-347) (4/11,11/30) -> (23/18,32/25) Hyperbolic Matrix(1501,-552,552,-203) (11/30,7/19) -> (19/7,49/18) Hyperbolic Matrix(1657,-612,972,-359) (7/19,10/27) -> (46/27,29/17) Hyperbolic Matrix(2807,-1044,4068,-1513) (13/35,16/43) -> (20/29,49/71) Hyperbolic Matrix(261,-100,676,-259) (8/21,5/13) -> (5/13,12/31) Parabolic Matrix(483,-200,128,-53) (7/17,5/12) -> (15/4,19/5) Hyperbolic Matrix(963,-404,584,-245) (13/31,8/19) -> (28/17,5/3) Hyperbolic Matrix(1165,-492,708,-299) (8/19,11/26) -> (23/14,28/17) Hyperbolic Matrix(1821,-772,2932,-1243) (11/26,14/33) -> (18/29,41/66) Hyperbolic Matrix(175,-76,76,-33) (3/7,4/9) -> (16/7,7/3) Hyperbolic Matrix(25,-12,48,-23) (5/11,1/2) -> (1/2,7/13) Parabolic Matrix(2033,-1100,560,-303) (7/13,13/24) -> (29/8,69/19) Hyperbolic Matrix(2405,-1304,3104,-1683) (13/24,19/35) -> (55/71,31/40) Hyperbolic Matrix(933,-508,652,-355) (19/35,6/11) -> (10/7,53/37) Hyperbolic Matrix(207,-116,116,-65) (5/9,4/7) -> (16/9,9/5) Hyperbolic Matrix(1667,-960,2148,-1237) (19/33,34/59) -> (38/49,7/9) Hyperbolic Matrix(523,-304,160,-93) (11/19,7/12) -> (13/4,23/7) Hyperbolic Matrix(499,-292,364,-213) (7/12,10/17) -> (26/19,11/8) Hyperbolic Matrix(1471,-868,544,-321) (10/17,13/22) -> (27/10,46/17) Hyperbolic Matrix(963,-584,404,-245) (3/5,14/23) -> (50/21,31/13) Hyperbolic Matrix(2077,-1272,1272,-779) (11/18,19/31) -> (31/19,49/30) Hyperbolic Matrix(1383,-848,380,-233) (19/31,8/13) -> (40/11,11/3) Hyperbolic Matrix(1669,-1032,600,-371) (21/34,13/21) -> (25/9,39/14) Hyperbolic Matrix(4307,-2676,6240,-3877) (41/66,23/37) -> (49/71,29/42) Hyperbolic Matrix(1087,-676,1288,-801) (23/37,5/8) -> (27/32,11/13) Hyperbolic Matrix(309,-196,484,-307) (12/19,7/11) -> (7/11,16/25) Parabolic Matrix(1549,-1080,360,-251) (23/33,7/10) -> (43/10,13/3) Hyperbolic Matrix(6425,-4664,4484,-3255) (45/62,8/11) -> (96/67,43/30) Hyperbolic Matrix(499,-364,292,-213) (8/11,11/15) -> (29/17,12/7) Hyperbolic Matrix(8459,-6552,5904,-4573) (24/31,55/71) -> (53/37,96/67) Hyperbolic Matrix(81,-64,100,-79) (7/9,4/5) -> (4/5,9/11) Parabolic Matrix(1027,-844,376,-309) (9/11,14/17) -> (30/11,41/15) Hyperbolic Matrix(563,-480,156,-133) (11/13,6/7) -> (18/5,47/13) Hyperbolic Matrix(1271,-1140,456,-409) (8/9,9/10) -> (39/14,92/33) Hyperbolic Matrix(219,-248,68,-77) (1/1,8/7) -> (16/5,29/9) Hyperbolic Matrix(1087,-1288,676,-801) (13/11,19/16) -> (45/28,37/23) Hyperbolic Matrix(165,-196,16,-19) (19/16,6/5) -> (10/1,1/0) Hyperbolic Matrix(81,-100,64,-79) (6/5,5/4) -> (5/4,14/11) Parabolic Matrix(2005,-2568,552,-707) (32/25,9/7) -> (69/19,40/11) Hyperbolic Matrix(879,-1136,236,-305) (9/7,22/17) -> (26/7,41/11) Hyperbolic Matrix(531,-692,188,-245) (13/10,17/13) -> (31/11,17/6) Hyperbolic Matrix(867,-1184,320,-437) (15/11,26/19) -> (46/17,19/7) Hyperbolic Matrix(1529,-2108,272,-375) (11/8,40/29) -> (28/5,45/8) Hyperbolic Matrix(2807,-4068,1044,-1513) (42/29,29/20) -> (43/16,78/29) Hyperbolic Matrix(309,-484,196,-307) (14/9,11/7) -> (11/7,30/19) Parabolic Matrix(1821,-2932,772,-1243) (37/23,29/18) -> (33/14,59/25) Hyperbolic Matrix(343,-556,124,-201) (21/13,13/8) -> (11/4,25/9) Hyperbolic Matrix(713,-1160,260,-423) (13/8,44/27) -> (52/19,11/4) Hyperbolic Matrix(4497,-7348,724,-1183) (116/71,67/41) -> (31/5,56/9) Hyperbolic Matrix(587,-960,96,-157) (67/41,18/11) -> (6/1,31/5) Hyperbolic Matrix(681,-1156,400,-679) (22/13,17/10) -> (17/10,46/27) Parabolic Matrix(211,-364,40,-69) (12/7,19/11) -> (5/1,16/3) Hyperbolic Matrix(1777,-3084,276,-479) (59/34,33/19) -> (45/7,13/2) Hyperbolic Matrix(1197,-2116,676,-1195) (30/17,23/13) -> (23/13,62/35) Parabolic Matrix(25,-48,12,-23) (11/6,2/1) -> (2/1,13/6) Parabolic Matrix(1169,-2540,272,-591) (13/6,37/17) -> (73/17,43/10) Hyperbolic Matrix(1733,-3776,464,-1011) (37/17,24/11) -> (56/15,71/19) Hyperbolic Matrix(711,-1556,260,-569) (24/11,11/5) -> (41/15,52/19) Hyperbolic Matrix(267,-596,56,-125) (20/9,9/4) -> (19/4,24/5) Hyperbolic Matrix(1101,-2500,484,-1099) (34/15,25/11) -> (25/11,66/29) Parabolic Matrix(2335,-5512,868,-2049) (59/25,26/11) -> (78/29,35/13) Hyperbolic Matrix(609,-1444,256,-607) (26/11,19/8) -> (19/8,50/21) Parabolic Matrix(261,-676,100,-259) (18/7,13/5) -> (13/5,34/13) Parabolic Matrix(1247,-3396,300,-817) (49/18,79/29) -> (29/7,25/6) Hyperbolic Matrix(2117,-5768,512,-1395) (79/29,109/40) -> (33/8,29/7) Hyperbolic Matrix(3107,-8664,960,-2677) (92/33,53/19) -> (55/17,68/21) Hyperbolic Matrix(1073,-2996,332,-927) (53/19,14/5) -> (42/13,55/17) Hyperbolic Matrix(57,-196,16,-55) (10/3,7/2) -> (7/2,18/5) Parabolic Matrix(1027,-3832,160,-597) (41/11,56/15) -> (32/5,45/7) Hyperbolic Matrix(1283,-4800,228,-853) (71/19,15/4) -> (45/8,107/19) Hyperbolic Matrix(1803,-7736,320,-1373) (30/7,73/17) -> (107/19,62/11) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(13,120,-48,-443) -> Matrix(5,4,6,5) Matrix(51,448,-88,-773) -> Matrix(3,2,-2,-1) Matrix(21,164,16,125) -> Matrix(7,4,-2,-1) Matrix(45,296,-116,-763) -> Matrix(3,2,10,7) Matrix(33,212,40,257) -> Matrix(1,0,0,1) Matrix(83,480,60,347) -> Matrix(7,4,-2,-1) Matrix(87,484,-16,-89) -> Matrix(7,4,-16,-9) Matrix(49,264,312,1681) -> Matrix(21,8,-8,-3) Matrix(199,1064,124,663) -> Matrix(5,2,-8,-3) Matrix(25,132,-168,-887) -> Matrix(1,0,4,1) Matrix(61,312,-96,-491) -> Matrix(1,0,2,1) Matrix(9,44,28,137) -> Matrix(1,0,0,1) Matrix(203,960,48,227) -> Matrix(3,8,-2,-5) Matrix(107,504,252,1187) -> Matrix(1,2,2,5) Matrix(51,232,20,91) -> Matrix(7,6,-6,-5) Matrix(105,464,-284,-1255) -> Matrix(13,8,8,5) Matrix(297,1304,64,281) -> Matrix(29,16,-20,-11) Matrix(11,48,96,419) -> Matrix(9,4,2,1) Matrix(185,796,-76,-327) -> Matrix(1,0,0,1) Matrix(123,520,-268,-1133) -> Matrix(1,-2,2,-3) Matrix(103,428,148,615) -> Matrix(1,-2,0,1) Matrix(89,340,128,489) -> Matrix(13,10,-4,-3) Matrix(297,1124,-116,-439) -> Matrix(23,16,-36,-25) Matrix(119,444,-264,-985) -> Matrix(13,8,8,5) Matrix(359,1332,252,935) -> Matrix(29,16,-20,-11) Matrix(13,48,-120,-443) -> Matrix(9,4,2,1) Matrix(81,296,136,497) -> Matrix(7,2,-4,-1) Matrix(109,396,684,2485) -> Matrix(5,-2,-2,1) Matrix(699,2536,164,595) -> Matrix(3,-4,-2,3) Matrix(83,300,96,347) -> Matrix(1,2,-2,-3) Matrix(43,152,28,99) -> Matrix(7,6,-6,-5) Matrix(75,256,104,355) -> Matrix(17,12,-10,-7) Matrix(31,104,76,255) -> Matrix(3,2,-8,-5) Matrix(93,308,16,53) -> Matrix(7,4,-2,-1) Matrix(207,676,-64,-209) -> Matrix(15,8,-32,-17) Matrix(131,420,228,731) -> Matrix(1,0,2,1) Matrix(1071,3412,296,943) -> Matrix(15,4,-4,-1) Matrix(331,1052,892,2835) -> Matrix(3,2,-2,-1) Matrix(351,1108,-568,-1793) -> Matrix(7,2,-4,-1) Matrix(155,444,96,275) -> Matrix(1,2,-2,-3) Matrix(177,500,40,113) -> Matrix(1,0,0,1) Matrix(263,732,60,167) -> Matrix(9,8,-8,-7) Matrix(101,280,224,621) -> Matrix(5,4,6,5) Matrix(147,400,104,283) -> Matrix(17,12,-10,-7) Matrix(105,284,-464,-1255) -> Matrix(3,2,-8,-5) Matrix(233,628,128,345) -> Matrix(17,10,-12,-7) Matrix(111,292,176,463) -> Matrix(9,8,-8,-7) Matrix(423,1108,-712,-1865) -> Matrix(11,8,4,3) Matrix(1313,3436,-556,-1455) -> Matrix(1,0,0,1) Matrix(23,60,156,407) -> Matrix(13,10,-4,-3) Matrix(181,468,432,1117) -> Matrix(3,2,-14,-9) Matrix(45,116,-296,-763) -> Matrix(3,2,-2,-1) Matrix(529,1356,300,769) -> Matrix(43,28,-20,-13) Matrix(69,176,256,653) -> Matrix(7,4,-2,-1) Matrix(173,424,224,549) -> Matrix(13,4,-10,-3) Matrix(625,1524,276,673) -> Matrix(1,0,-4,1) Matrix(103,248,76,183) -> Matrix(1,-2,0,1) Matrix(79,188,208,495) -> Matrix(5,4,-4,-3) Matrix(1051,2492,892,2115) -> Matrix(3,2,-2,-1) Matrix(1945,4608,1368,3241) -> Matrix(31,14,-20,-9) Matrix(1105,2616,264,625) -> Matrix(7,2,-4,-1) Matrix(1185,2804,2056,4865) -> Matrix(1,-2,0,1) Matrix(239,564,264,623) -> Matrix(3,2,4,3) Matrix(107,252,504,1187) -> Matrix(7,4,-2,-1) Matrix(81,188,28,65) -> Matrix(1,0,0,1) Matrix(447,1024,-196,-449) -> Matrix(3,4,-4,-5) Matrix(847,1928,2284,5199) -> Matrix(13,10,-4,-3) Matrix(1693,3852,396,901) -> Matrix(7,6,-6,-5) Matrix(141,320,256,581) -> Matrix(7,4,-2,-1) Matrix(1311,2932,-2068,-4625) -> Matrix(3,2,4,3) Matrix(1633,3648,2364,5281) -> Matrix(51,32,-8,-5) Matrix(1695,3784,2336,5215) -> Matrix(95,56,-56,-33) Matrix(675,1504,-1144,-2549) -> Matrix(23,12,-2,-1) Matrix(119,264,-444,-985) -> Matrix(1,2,0,1) Matrix(31,68,-212,-465) -> Matrix(3,2,4,3) Matrix(123,268,-520,-1133) -> Matrix(7,4,-2,-1) Matrix(95,204,156,335) -> Matrix(17,10,-12,-7) Matrix(3,4,-4,-5) -> Matrix(1,0,2,1) Matrix(521,340,308,201) -> Matrix(1,4,0,1) Matrix(413,268,920,597) -> Matrix(1,0,2,1) Matrix(409,264,708,457) -> Matrix(1,-2,0,1) Matrix(299,192,204,131) -> Matrix(3,2,-2,-1) Matrix(1301,832,896,573) -> Matrix(5,-2,-2,1) Matrix(1397,892,296,189) -> Matrix(3,-4,-2,3) Matrix(5417,3436,-8764,-5559) -> Matrix(1,-2,0,1) Matrix(4127,2616,-9240,-5857) -> Matrix(7,-2,4,-1) Matrix(985,624,1176,745) -> Matrix(3,-2,-4,3) Matrix(493,312,1272,805) -> Matrix(5,-4,-6,5) Matrix(685,432,972,613) -> Matrix(5,-2,-2,1) Matrix(1265,796,-2236,-1407) -> Matrix(1,-2,4,-7) Matrix(191,120,1068,671) -> Matrix(1,-4,0,1) Matrix(1241,772,1712,1065) -> Matrix(7,16,-4,-9) Matrix(1809,1124,-3140,-1951) -> Matrix(1,2,0,1) Matrix(187,116,856,531) -> Matrix(1,2,-2,-3) Matrix(97,60,-852,-527) -> Matrix(1,4,0,1) Matrix(2453,1516,-12820,-7923) -> Matrix(1,2,-6,-11) Matrix(661,408,1032,637) -> Matrix(5,6,-6,-7) Matrix(371,228,96,59) -> Matrix(3,2,-2,-1) Matrix(653,400,-1768,-1083) -> Matrix(3,-2,2,-1) Matrix(459,280,-1936,-1181) -> Matrix(3,2,-2,-1) Matrix(1201,732,-2676,-1631) -> Matrix(9,2,4,1) Matrix(823,500,-1832,-1113) -> Matrix(7,-2,4,-1) Matrix(733,444,-1920,-1163) -> Matrix(1,-2,2,-3) Matrix(1417,840,528,313) -> Matrix(3,-14,-4,19) Matrix(1143,676,-1936,-1145) -> Matrix(1,-18,0,1) Matrix(523,308,-1136,-669) -> Matrix(1,4,2,9) Matrix(177,104,-788,-463) -> Matrix(1,2,0,1) Matrix(1045,612,432,253) -> Matrix(5,8,-2,-3) Matrix(949,552,600,349) -> Matrix(9,10,-10,-11) Matrix(517,300,-1632,-947) -> Matrix(3,2,-2,-1) Matrix(7195,4172,4972,2883) -> Matrix(3,2,-2,-1) Matrix(683,396,-5652,-3277) -> Matrix(5,2,2,1) Matrix(769,444,168,97) -> Matrix(7,2,-4,-1) Matrix(3913,2256,2208,1273) -> Matrix(31,2,-16,-1) Matrix(1523,876,1104,635) -> Matrix(3,2,-2,-1) Matrix(917,520,164,93) -> Matrix(1,0,-2,1) Matrix(4153,2352,1824,1033) -> Matrix(1,0,8,1) Matrix(823,464,580,327) -> Matrix(13,-8,-8,5) Matrix(1069,600,408,229) -> Matrix(13,-12,-14,13) Matrix(815,456,84,47) -> Matrix(1,-2,0,1) Matrix(1717,960,-3840,-2147) -> Matrix(1,-2,2,-3) Matrix(79,44,-404,-225) -> Matrix(1,-2,0,1) Matrix(239,132,1128,623) -> Matrix(1,-6,0,1) Matrix(719,396,1044,575) -> Matrix(1,-16,0,1) Matrix(161,88,236,129) -> Matrix(1,2,0,1) Matrix(547,296,316,171) -> Matrix(5,8,-2,-3) Matrix(387,208,80,43) -> Matrix(7,6,-6,-5) Matrix(227,120,384,203) -> Matrix(11,2,-6,-1) Matrix(335,156,204,95) -> Matrix(1,0,-4,1) Matrix(201,92,-1064,-487) -> Matrix(3,-2,-4,3) Matrix(1115,504,396,179) -> Matrix(3,-4,-2,3) Matrix(2937,1316,520,233) -> Matrix(1,-2,0,1) Matrix(5281,2364,3648,1633) -> Matrix(1,-4,0,1) Matrix(521,232,128,57) -> Matrix(1,-4,0,1) Matrix(581,256,320,141) -> Matrix(3,-16,-2,11) Matrix(447,196,-1024,-449) -> Matrix(1,-18,0,1) Matrix(955,416,4084,1779) -> Matrix(5,48,-2,-19) Matrix(4465,1944,1656,721) -> Matrix(3,22,-4,-29) Matrix(65,28,188,81) -> Matrix(1,2,0,1) Matrix(1187,504,252,107) -> Matrix(3,2,-2,-1) Matrix(1313,556,-3436,-1455) -> Matrix(5,8,8,13) Matrix(4865,2056,2804,1185) -> Matrix(11,14,-4,-5) Matrix(625,264,2616,1105) -> Matrix(11,14,-4,-5) Matrix(3241,1368,4608,1945) -> Matrix(23,26,-8,-9) Matrix(5415,2284,1496,631) -> Matrix(1,-2,0,1) Matrix(495,208,188,79) -> Matrix(7,8,-8,-9) Matrix(183,76,248,103) -> Matrix(5,4,-4,-3) Matrix(185,76,-796,-327) -> Matrix(7,2,-4,-1) Matrix(549,224,424,173) -> Matrix(7,4,-2,-1) Matrix(653,256,176,69) -> Matrix(5,-2,-2,1) Matrix(297,116,-1124,-439) -> Matrix(1,2,0,1) Matrix(413,160,-2176,-843) -> Matrix(5,-2,-2,1) Matrix(1117,432,468,181) -> Matrix(13,-6,-2,1) Matrix(407,156,60,23) -> Matrix(1,-2,0,1) Matrix(4891,1868,1516,579) -> Matrix(3,-2,-10,7) Matrix(1279,488,3436,1311) -> Matrix(11,-8,-4,3) Matrix(463,176,292,111) -> Matrix(7,-6,-8,7) Matrix(345,128,628,233) -> Matrix(1,-4,0,1) Matrix(283,104,400,147) -> Matrix(5,-12,-2,5) Matrix(621,224,280,101) -> Matrix(1,-6,-2,13) Matrix(167,60,732,263) -> Matrix(1,-12,0,1) Matrix(113,40,500,177) -> Matrix(1,6,0,1) Matrix(275,96,444,155) -> Matrix(3,8,-2,-5) Matrix(213,68,-1112,-355) -> Matrix(1,0,-2,1) Matrix(2835,892,1052,331) -> Matrix(1,2,-2,-3) Matrix(1363,428,1156,363) -> Matrix(1,0,2,1) Matrix(207,64,-676,-209) -> Matrix(1,0,8,1) Matrix(1349,412,776,237) -> Matrix(13,-2,-6,1) Matrix(53,16,308,93) -> Matrix(5,-2,-2,1) Matrix(255,76,104,31) -> Matrix(1,-2,0,1) Matrix(355,104,256,75) -> Matrix(5,-2,-2,1) Matrix(99,28,152,43) -> Matrix(1,0,-2,1) Matrix(347,96,300,83) -> Matrix(1,-2,2,-3) Matrix(595,164,2536,699) -> Matrix(5,-12,-2,5) Matrix(2485,684,396,109) -> Matrix(3,-4,-2,3) Matrix(497,136,296,81) -> Matrix(1,0,0,1) Matrix(2913,788,4144,1121) -> Matrix(35,-32,-12,11) Matrix(935,252,1332,359) -> Matrix(13,-16,-4,5) Matrix(1281,344,1672,449) -> Matrix(5,-6,-4,5) Matrix(1129,300,636,169) -> Matrix(15,-28,-8,15) Matrix(489,128,340,89) -> Matrix(1,-4,0,1) Matrix(615,148,428,103) -> Matrix(1,2,0,1) Matrix(1177,276,516,121) -> Matrix(1,2,4,9) Matrix(419,96,48,11) -> Matrix(5,6,-6,-7) Matrix(701,160,92,21) -> Matrix(11,10,-10,-9) Matrix(91,20,232,51) -> Matrix(1,2,-2,-3) Matrix(1187,252,504,107) -> Matrix(5,2,2,1) Matrix(227,48,960,203) -> Matrix(3,2,-2,-1) Matrix(137,28,44,9) -> Matrix(1,0,0,1) Matrix(4897,936,1512,289) -> Matrix(1,0,8,1) Matrix(87,16,-484,-89) -> Matrix(1,0,4,1) Matrix(1663,296,1972,351) -> Matrix(1,0,-4,1) Matrix(1399,248,220,39) -> Matrix(1,-2,0,1) Matrix(347,60,480,83) -> Matrix(3,2,-2,-1) Matrix(383,60,300,47) -> Matrix(1,-6,0,1) Matrix(125,16,164,21) -> Matrix(3,-4,-2,3) Matrix(1273,156,204,25) -> Matrix(7,-12,-4,7) Matrix(1103,132,1596,191) -> Matrix(1,-8,0,1) Matrix(677,64,476,45) -> Matrix(3,26,-2,-17) Matrix(165,-16,196,-19) -> Matrix(1,0,-2,1) Matrix(443,-60,96,-13) -> Matrix(3,20,-2,-13) Matrix(1619,-252,2088,-325) -> Matrix(3,8,-2,-5) Matrix(1921,-312,1176,-191) -> Matrix(1,2,-4,-7) Matrix(1529,-272,2108,-375) -> Matrix(7,2,-4,-1) Matrix(303,-56,92,-17) -> Matrix(1,2,0,1) Matrix(267,-56,596,-125) -> Matrix(1,0,2,1) Matrix(443,-96,60,-13) -> Matrix(7,6,-6,-5) Matrix(1549,-360,1080,-251) -> Matrix(1,4,-2,-7) Matrix(2845,-684,1044,-251) -> Matrix(9,20,-14,-31) Matrix(483,-128,200,-53) -> Matrix(5,8,-2,-3) Matrix(879,-236,1136,-305) -> Matrix(5,4,-4,-3) Matrix(57,-16,196,-55) -> Matrix(3,4,-4,-5) Matrix(1585,-468,972,-287) -> Matrix(3,2,-8,-5) Matrix(389,-116,332,-99) -> Matrix(1,0,2,1) Matrix(303,-92,56,-17) -> Matrix(1,0,0,1) Matrix(219,-68,248,-77) -> Matrix(1,0,-2,1) Matrix(531,-188,692,-245) -> Matrix(3,8,-2,-5) Matrix(343,-124,556,-201) -> Matrix(1,0,0,1) Matrix(1213,-444,948,-347) -> Matrix(11,6,-2,-1) Matrix(1501,-552,552,-203) -> Matrix(1,2,-2,-3) Matrix(1657,-612,972,-359) -> Matrix(1,-10,0,1) Matrix(2807,-1044,4068,-1513) -> Matrix(1,-6,0,1) Matrix(261,-100,676,-259) -> Matrix(9,10,-10,-11) Matrix(483,-200,128,-53) -> Matrix(3,2,-2,-1) Matrix(963,-404,584,-245) -> Matrix(1,0,6,1) Matrix(1165,-492,708,-299) -> Matrix(1,0,-10,1) Matrix(1821,-772,2932,-1243) -> Matrix(19,-4,-14,3) Matrix(175,-76,76,-33) -> Matrix(1,0,0,1) Matrix(25,-12,48,-23) -> Matrix(1,-4,0,1) Matrix(2033,-1100,560,-303) -> Matrix(11,36,-4,-13) Matrix(2405,-1304,3104,-1683) -> Matrix(5,16,-6,-19) Matrix(933,-508,652,-355) -> Matrix(7,20,-6,-17) Matrix(207,-116,116,-65) -> Matrix(7,16,-4,-9) Matrix(1667,-960,2148,-1237) -> Matrix(3,8,-2,-5) Matrix(523,-304,160,-93) -> Matrix(1,2,2,5) Matrix(499,-292,364,-213) -> Matrix(3,8,-2,-5) Matrix(1471,-868,544,-321) -> Matrix(19,36,-28,-53) Matrix(963,-584,404,-245) -> Matrix(17,26,-2,-3) Matrix(2077,-1272,1272,-779) -> Matrix(3,4,-10,-13) Matrix(1383,-848,380,-233) -> Matrix(11,14,-4,-5) Matrix(1669,-1032,600,-371) -> Matrix(1,2,-6,-11) Matrix(4307,-2676,6240,-3877) -> Matrix(13,20,-2,-3) Matrix(1087,-676,1288,-801) -> Matrix(3,4,-4,-5) Matrix(309,-196,484,-307) -> Matrix(13,14,-14,-15) Matrix(1549,-1080,360,-251) -> Matrix(3,8,-2,-5) Matrix(6425,-4664,4484,-3255) -> Matrix(37,62,-40,-67) Matrix(499,-364,292,-213) -> Matrix(13,20,-2,-3) Matrix(8459,-6552,5904,-4573) -> Matrix(21,22,-22,-23) Matrix(81,-64,100,-79) -> Matrix(7,8,-8,-9) Matrix(1027,-844,376,-309) -> Matrix(11,8,-18,-13) Matrix(563,-480,156,-133) -> Matrix(7,4,-2,-1) Matrix(1271,-1140,456,-409) -> Matrix(1,0,-12,1) Matrix(219,-248,68,-77) -> Matrix(1,0,-2,1) Matrix(1087,-1288,676,-801) -> Matrix(3,-2,-4,3) Matrix(165,-196,16,-19) -> Matrix(1,0,-2,1) Matrix(81,-100,64,-79) -> Matrix(1,-8,0,1) Matrix(2005,-2568,552,-707) -> Matrix(5,28,-2,-11) Matrix(879,-1136,236,-305) -> Matrix(1,2,0,1) Matrix(531,-692,188,-245) -> Matrix(1,4,-2,-7) Matrix(867,-1184,320,-437) -> Matrix(9,20,-14,-31) Matrix(1529,-2108,272,-375) -> Matrix(1,2,0,1) Matrix(2807,-4068,1044,-1513) -> Matrix(3,4,-4,-5) Matrix(309,-484,196,-307) -> Matrix(21,22,-22,-23) Matrix(1821,-2932,772,-1243) -> Matrix(5,2,2,1) Matrix(343,-556,124,-201) -> Matrix(3,2,-8,-5) Matrix(713,-1160,260,-423) -> Matrix(9,4,-16,-7) Matrix(4497,-7348,724,-1183) -> Matrix(23,2,-12,-1) Matrix(587,-960,96,-157) -> Matrix(3,2,-2,-1) Matrix(681,-1156,400,-679) -> Matrix(1,-18,0,1) Matrix(211,-364,40,-69) -> Matrix(1,4,-2,-7) Matrix(1777,-3084,276,-479) -> Matrix(7,16,-4,-9) Matrix(1197,-2116,676,-1195) -> Matrix(51,104,-26,-53) Matrix(25,-48,12,-23) -> Matrix(3,4,-4,-5) Matrix(1169,-2540,272,-591) -> Matrix(5,4,-4,-3) Matrix(1733,-3776,464,-1011) -> Matrix(7,4,-2,-1) Matrix(711,-1556,260,-569) -> Matrix(5,2,-8,-3) Matrix(267,-596,56,-125) -> Matrix(13,4,-10,-3) Matrix(1101,-2500,484,-1099) -> Matrix(1,0,22,1) Matrix(2335,-5512,868,-2049) -> Matrix(3,-14,-4,19) Matrix(609,-1444,256,-607) -> Matrix(1,-16,0,1) Matrix(261,-676,100,-259) -> Matrix(25,26,-26,-27) Matrix(1247,-3396,300,-817) -> Matrix(29,20,-16,-11) Matrix(2117,-5768,512,-1395) -> Matrix(55,36,-26,-17) Matrix(3107,-8664,960,-2677) -> Matrix(1,0,26,1) Matrix(1073,-2996,332,-927) -> Matrix(1,0,-8,1) Matrix(57,-196,16,-55) -> Matrix(1,-4,0,1) Matrix(1027,-3832,160,-597) -> Matrix(3,8,-2,-5) Matrix(1283,-4800,228,-853) -> Matrix(1,2,2,5) Matrix(1803,-7736,320,-1373) -> Matrix(3,4,2,3) 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): 108 Degree of the the map X: 108 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. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 864 Minimal number of generators: 145 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 48 Genus: 49 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -7/1 -5/1 -4/1 -3/1 -14/5 -5/2 -16/7 -11/5 -1/1 -1/2 -7/16 -5/14 -1/4 0/1 1/5 1/4 2/7 4/11 5/13 1/2 7/11 3/4 4/5 1/1 5/4 3/2 11/7 28/17 5/3 17/10 2/1 19/8 5/2 13/5 8/3 11/4 3/1 16/5 55/17 10/3 7/2 4/1 14/3 5/1 6/1 7/1 8/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -7/1 -1/1 -6/1 -3/4 -1/2 -5/1 0/1 -14/3 -3/2 -5/4 -9/2 -3/4 -4/1 -1/1 -11/3 0/1 -18/5 -3/2 1/0 -7/2 -3/4 -17/5 -2/3 -10/3 -5/8 -1/2 -3/1 -1/1 -14/5 -1/1 -11/4 -1/1 -2/3 -19/7 -2/3 -8/3 -1/2 1/0 -21/8 -1/1 -4/5 -34/13 -1/1 -13/5 -2/3 -31/12 -2/3 -3/5 -18/7 -3/4 -1/2 -5/2 -1/2 -17/7 -1/3 -12/5 -1/2 1/0 -19/8 -1/1 -2/3 -26/11 -1/1 -33/14 -5/8 -7/3 0/1 -16/7 -1/1 -9/4 -1/1 -2/3 -20/9 -1/2 -1/4 -11/5 -1/1 -13/6 -1/2 -2/1 -1/2 1/0 -1/1 0/1 -2/3 1/2 1/0 -13/20 -2/1 -1/1 -11/17 -1/1 -9/14 1/0 -7/11 0/1 -19/30 1/2 -12/19 3/2 1/0 -5/8 1/0 -13/21 0/1 -21/34 -3/2 -8/13 -1/2 1/0 -19/31 0/1 -11/18 -1/2 -3/5 1/1 -10/17 -7/2 1/0 -17/29 -2/1 -7/12 -2/1 -1/1 -4/7 0/1 -5/9 2/1 -6/11 -5/2 1/0 -7/13 -1/1 -1/2 1/0 -4/9 5/2 1/0 -11/25 7/1 -7/16 1/0 -17/39 -11/1 -10/23 -13/2 1/0 -3/7 -2/1 -11/26 -3/2 -8/19 -3/2 -5/4 -5/12 -1/1 -2/3 -7/17 -1/3 -2/5 0/1 -7/18 1/4 -12/31 5/12 1/2 -5/13 2/3 -13/34 1/2 -8/21 3/4 5/6 -3/8 1/1 2/1 -10/27 5/4 3/2 -17/46 7/4 -7/19 2/1 -4/11 7/2 1/0 -9/25 8/1 -5/14 1/0 -6/17 -11/2 1/0 -1/3 -1/1 -5/16 -1/3 0/1 -4/13 0/1 -7/23 0/1 -3/10 1/2 -2/7 1/2 1/0 -5/18 3/2 -8/29 2/1 -11/40 2/1 3/1 -3/11 0/1 -7/26 5/4 -11/41 1/1 -4/15 3/2 7/4 -5/19 3/1 -1/4 1/0 -4/17 -5/2 1/0 -3/13 -1/1 -5/22 -1/2 -7/31 0/1 -2/9 -3/2 1/0 -3/14 -1/2 -4/19 0/1 -1/5 0/1 -3/16 -1/1 0/1 -2/11 0/1 -3/17 1/1 -1/6 1/0 -2/13 -1/2 1/0 -3/20 0/1 1/1 -1/7 1/1 -1/8 1/1 2/1 0/1 -1/2 1/0 1/7 -4/1 2/13 -3/1 1/6 1/0 2/11 -3/2 1/0 1/5 -1/1 4/19 1/2 1/0 7/33 -4/1 3/14 -3/2 2/9 1/2 1/0 5/22 1/0 3/13 -4/1 7/30 -11/4 4/17 -2/1 1/4 -2/1 -1/1 4/15 -3/2 -5/4 7/26 1/0 3/11 -1/1 2/7 -1/1 5/17 -1/1 3/10 -1/2 1/3 0/1 6/17 -9/2 1/0 5/14 -5/2 4/11 -1/1 11/30 -1/2 7/19 1/1 10/27 -7/2 1/0 3/8 -2/1 -1/1 8/21 -3/2 -5/4 5/13 -1/1 12/31 -7/8 -5/6 7/18 -3/4 2/5 -1/2 1/0 7/17 0/1 5/12 -1/3 0/1 13/31 0/1 8/19 0/1 11/26 1/6 3/7 1/1 4/9 1/4 1/2 13/29 1/1 9/20 2/3 1/1 5/11 0/1 1/2 1/0 7/13 -4/1 13/24 -16/5 -3/1 19/35 -3/1 6/11 -11/4 -5/2 11/20 -3/1 -2/1 5/9 -3/1 4/7 -3/2 1/0 11/19 -3/1 7/12 -3/1 -2/1 10/17 -2/1 13/22 -11/6 3/5 -2/1 14/23 -3/2 -17/12 11/18 -3/2 19/31 -1/1 8/13 -1/1 21/34 -5/2 13/21 -5/3 18/29 -3/2 -17/12 5/8 -4/3 -1/1 12/19 -7/6 -9/8 7/11 -1/1 16/25 -7/8 -5/6 9/14 -3/4 2/3 -1/2 1/0 7/10 1/0 12/17 -11/4 -5/2 5/7 -2/1 13/18 -3/2 8/11 -13/8 -3/2 11/15 -7/5 3/4 -2/1 -1/1 13/17 -1/1 23/30 1/0 10/13 -3/2 -11/8 17/22 -5/4 24/31 -7/6 -9/8 7/9 -4/3 4/5 -1/1 9/11 -4/5 5/6 -1/2 11/13 0/1 6/7 -1/2 1/0 7/8 -1/2 1/1 -1/1 8/7 0/1 7/6 1/0 13/11 0/1 6/5 3/2 1/0 5/4 1/0 14/11 -13/2 1/0 23/18 1/0 32/25 -5/1 9/7 -4/1 4/3 -5/2 1/0 7/5 -2/1 10/7 -3/2 -5/4 43/30 -5/6 33/23 0/1 23/16 1/0 13/9 -1/1 3/2 -3/2 14/9 -7/6 -9/8 11/7 -1/1 19/12 -1/1 -8/9 8/5 -3/4 -1/2 29/18 -1/2 21/13 -1/1 13/8 -1/2 18/11 -1/2 1/0 23/14 -1/4 28/17 0/1 5/3 0/1 27/16 2/1 3/1 22/13 9/2 1/0 17/10 1/0 46/27 -27/2 1/0 29/17 -9/1 12/7 -9/2 1/0 19/11 -3/1 7/4 -3/1 -2/1 16/9 -11/6 -7/4 9/5 -5/3 2/1 -1/1 9/4 -1/3 0/1 25/11 0/1 16/7 1/4 1/2 7/3 1/1 26/11 9/2 1/0 19/8 1/0 50/21 -23/2 1/0 31/13 -8/1 12/5 -7/2 1/0 5/2 -3/2 18/7 -9/8 -11/10 13/5 -1/1 34/13 -17/18 -15/16 21/8 -1/1 -10/11 8/3 -5/6 -3/4 27/10 -7/10 19/7 -3/5 11/4 -1/2 25/9 -1/3 39/14 -1/8 92/33 -1/16 -1/18 53/19 0/1 14/5 1/2 1/0 17/6 1/0 3/1 0/1 16/5 0/1 29/9 -1/3 42/13 -1/6 -1/8 55/17 0/1 13/4 0/1 1/1 23/7 1/1 10/3 1/2 1/0 7/2 1/0 18/5 -7/2 1/0 47/13 -4/1 29/8 -4/1 -3/1 69/19 -8/3 40/11 -3/1 11/3 -3/1 4/1 -3/2 1/0 9/2 1/0 14/3 -3/2 -11/8 19/4 -4/3 -1/1 5/1 -1/1 6/1 -3/2 1/0 7/1 -4/3 15/2 -9/8 8/1 -1/1 1/0 -1/1 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(5,42,12,101) (-7/1,1/0) -> (7/17,5/12) Hyperbolic Matrix(27,170,-44,-277) (-7/1,-6/1) -> (-8/13,-19/31) Hyperbolic Matrix(15,86,4,23) (-6/1,-5/1) -> (11/3,4/1) Hyperbolic Matrix(19,90,-72,-341) (-5/1,-14/3) -> (-4/15,-5/19) Hyperbolic Matrix(51,232,20,91) (-14/3,-9/2) -> (5/2,18/7) Hyperbolic Matrix(11,46,-28,-117) (-9/2,-4/1) -> (-2/5,-7/18) Hyperbolic Matrix(13,50,-32,-123) (-4/1,-11/3) -> (-7/17,-2/5) Hyperbolic Matrix(27,98,-116,-421) (-11/3,-18/5) -> (-4/17,-3/13) Hyperbolic Matrix(43,152,28,99) (-18/5,-7/2) -> (3/2,14/9) Hyperbolic Matrix(75,256,104,355) (-7/2,-17/5) -> (5/7,13/18) Hyperbolic Matrix(31,104,76,255) (-17/5,-10/3) -> (2/5,7/17) Hyperbolic Matrix(31,102,24,79) (-10/3,-3/1) -> (9/7,4/3) Hyperbolic Matrix(39,110,-128,-361) (-3/1,-14/5) -> (-4/13,-7/23) Hyperbolic Matrix(41,114,-132,-367) (-14/5,-11/4) -> (-5/16,-4/13) Hyperbolic Matrix(125,342,72,197) (-11/4,-19/7) -> (19/11,7/4) Hyperbolic Matrix(63,170,-116,-313) (-19/7,-8/3) -> (-6/11,-7/13) Hyperbolic Matrix(111,292,176,463) (-8/3,-21/8) -> (5/8,12/19) Hyperbolic Matrix(45,118,188,493) (-21/8,-34/13) -> (4/17,1/4) Hyperbolic Matrix(23,60,156,407) (-34/13,-13/5) -> (1/7,2/13) Hyperbolic Matrix(181,468,432,1117) (-13/5,-31/12) -> (5/12,13/31) Hyperbolic Matrix(45,116,-296,-763) (-31/12,-18/7) -> (-2/13,-3/20) Hyperbolic Matrix(93,238,-220,-563) (-18/7,-5/2) -> (-11/26,-8/19) Hyperbolic Matrix(101,246,-264,-643) (-5/2,-17/7) -> (-5/13,-13/34) Hyperbolic Matrix(77,186,12,29) (-17/7,-12/5) -> (6/1,7/1) Hyperbolic Matrix(79,188,208,495) (-12/5,-19/8) -> (3/8,8/21) Hyperbolic Matrix(185,438,-672,-1591) (-19/8,-26/11) -> (-8/29,-11/40) Hyperbolic Matrix(133,314,568,1341) (-26/11,-33/14) -> (7/30,4/17) Hyperbolic Matrix(107,252,504,1187) (-33/14,-7/3) -> (7/33,3/14) Hyperbolic Matrix(27,62,-152,-349) (-7/3,-16/7) -> (-2/11,-3/17) Hyperbolic Matrix(29,66,-156,-355) (-16/7,-9/4) -> (-3/16,-2/11) Hyperbolic Matrix(117,262,188,421) (-9/4,-20/9) -> (18/29,5/8) Hyperbolic Matrix(119,264,-444,-985) (-20/9,-11/5) -> (-11/41,-4/15) Hyperbolic Matrix(91,198,108,235) (-11/5,-13/6) -> (5/6,11/13) Hyperbolic Matrix(95,204,156,335) (-13/6,-2/1) -> (14/23,11/18) Hyperbolic Matrix(3,4,-4,-5) (-2/1,-1/1) -> (-1/1,-2/3) Parabolic Matrix(521,340,308,201) (-2/3,-13/20) -> (27/16,22/13) Hyperbolic Matrix(413,268,920,597) (-13/20,-11/17) -> (13/29,9/20) Hyperbolic Matrix(301,194,256,165) (-11/17,-9/14) -> (7/6,13/11) Hyperbolic Matrix(103,66,348,223) (-9/14,-7/11) -> (5/17,3/10) Hyperbolic Matrix(691,438,1128,715) (-7/11,-19/30) -> (11/18,19/31) Hyperbolic Matrix(493,312,1272,805) (-19/30,-12/19) -> (12/31,7/18) Hyperbolic Matrix(391,246,240,151) (-12/19,-5/8) -> (13/8,18/11) Hyperbolic Matrix(383,238,140,87) (-5/8,-13/21) -> (19/7,11/4) Hyperbolic Matrix(469,290,1276,789) (-13/21,-21/34) -> (11/30,7/19) Hyperbolic Matrix(661,408,1032,637) (-21/34,-8/13) -> (16/25,9/14) Hyperbolic Matrix(653,400,-1768,-1083) (-19/31,-11/18) -> (-17/46,-7/19) Hyperbolic Matrix(187,114,228,139) (-11/18,-3/5) -> (9/11,5/6) Hyperbolic Matrix(173,102,-480,-283) (-3/5,-10/17) -> (-4/11,-9/25) Hyperbolic Matrix(177,104,-788,-463) (-10/17,-17/29) -> (-7/31,-2/9) Hyperbolic Matrix(611,358,128,75) (-17/29,-7/12) -> (19/4,5/1) Hyperbolic Matrix(87,50,40,23) (-7/12,-4/7) -> (2/1,9/4) Hyperbolic Matrix(81,46,44,25) (-4/7,-5/9) -> (9/5,2/1) Hyperbolic Matrix(157,86,-356,-195) (-5/9,-6/11) -> (-4/9,-11/25) Hyperbolic Matrix(79,42,-348,-185) (-7/13,-1/2) -> (-5/22,-7/31) Hyperbolic Matrix(67,30,96,43) (-1/2,-4/9) -> (2/3,7/10) Hyperbolic Matrix(447,196,-1024,-449) (-11/25,-7/16) -> (-7/16,-17/39) Parabolic Matrix(317,138,1500,653) (-17/39,-10/23) -> (4/19,7/33) Hyperbolic Matrix(65,28,188,81) (-10/23,-3/7) -> (1/3,6/17) Hyperbolic Matrix(127,54,468,199) (-3/7,-11/26) -> (7/26,3/11) Hyperbolic Matrix(495,208,188,79) (-8/19,-5/12) -> (21/8,8/3) Hyperbolic Matrix(183,76,248,103) (-5/12,-7/17) -> (11/15,3/4) Hyperbolic Matrix(707,274,-1912,-741) (-7/18,-12/31) -> (-10/27,-17/46) Hyperbolic Matrix(1117,432,468,181) (-12/31,-5/13) -> (31/13,12/5) Hyperbolic Matrix(697,266,904,345) (-13/34,-8/21) -> (10/13,17/22) Hyperbolic Matrix(463,176,292,111) (-8/21,-3/8) -> (19/12,8/5) Hyperbolic Matrix(345,128,628,233) (-3/8,-10/27) -> (6/11,11/20) Hyperbolic Matrix(283,104,400,147) (-7/19,-4/11) -> (12/17,5/7) Hyperbolic Matrix(167,60,732,263) (-9/25,-5/14) -> (5/22,3/13) Hyperbolic Matrix(113,40,500,177) (-5/14,-6/17) -> (2/9,5/22) Hyperbolic Matrix(275,96,444,155) (-6/17,-1/3) -> (13/21,18/29) Hyperbolic Matrix(107,34,236,75) (-1/3,-5/16) -> (9/20,5/11) Hyperbolic Matrix(877,266,544,165) (-7/23,-3/10) -> (29/18,21/13) Hyperbolic Matrix(103,30,24,7) (-3/10,-2/7) -> (4/1,9/2) Hyperbolic Matrix(99,28,152,43) (-2/7,-5/18) -> (9/14,2/3) Hyperbolic Matrix(347,96,300,83) (-5/18,-8/29) -> (8/7,7/6) Hyperbolic Matrix(497,136,296,81) (-11/40,-3/11) -> (5/3,27/16) Hyperbolic Matrix(199,54,468,127) (-3/11,-7/26) -> (11/26,3/7) Hyperbolic Matrix(1281,344,1672,449) (-7/26,-11/41) -> (13/17,23/30) Hyperbolic Matrix(489,128,340,89) (-5/19,-1/4) -> (23/16,13/9) Hyperbolic Matrix(143,34,164,39) (-1/4,-4/17) -> (6/7,7/8) Hyperbolic Matrix(235,54,396,91) (-3/13,-5/22) -> (13/22,3/5) Hyperbolic Matrix(91,20,232,51) (-2/9,-3/14) -> (7/18,2/5) Hyperbolic Matrix(47,10,296,63) (-3/14,-4/19) -> (2/13,1/6) Hyperbolic Matrix(137,28,44,9) (-4/19,-1/5) -> (3/1,16/5) Hyperbolic Matrix(135,26,244,47) (-1/5,-3/16) -> (11/20,5/9) Hyperbolic Matrix(307,54,108,19) (-3/17,-1/6) -> (17/6,3/1) Hyperbolic Matrix(383,60,300,47) (-1/6,-2/13) -> (14/11,23/18) Hyperbolic Matrix(1143,170,316,47) (-3/20,-1/7) -> (47/13,29/8) Hyperbolic Matrix(125,16,164,21) (-1/7,-1/8) -> (3/4,13/17) Hyperbolic Matrix(83,10,224,27) (-1/8,0/1) -> (10/27,3/8) Hyperbolic Matrix(189,-26,80,-11) (0/1,1/7) -> (7/3,26/11) Hyperbolic Matrix(367,-66,228,-41) (1/6,2/11) -> (8/5,29/18) Hyperbolic Matrix(303,-56,92,-17) (2/11,1/5) -> (23/7,10/3) Hyperbolic Matrix(267,-56,596,-125) (1/5,4/19) -> (4/9,13/29) Hyperbolic Matrix(355,-78,132,-29) (3/14,2/9) -> (8/3,27/10) Hyperbolic Matrix(1549,-360,1080,-251) (3/13,7/30) -> (43/30,33/23) Hyperbolic Matrix(341,-90,72,-19) (1/4,4/15) -> (14/3,19/4) Hyperbolic Matrix(879,-236,1136,-305) (4/15,7/26) -> (17/22,24/31) Hyperbolic Matrix(57,-16,196,-55) (3/11,2/7) -> (2/7,5/17) Parabolic Matrix(139,-42,96,-29) (3/10,1/3) -> (13/9,3/2) Hyperbolic Matrix(531,-188,692,-245) (6/17,5/14) -> (23/30,10/13) Hyperbolic Matrix(343,-124,556,-201) (5/14,4/11) -> (8/13,21/34) Hyperbolic Matrix(1213,-444,948,-347) (4/11,11/30) -> (23/18,32/25) Hyperbolic Matrix(1657,-612,972,-359) (7/19,10/27) -> (46/27,29/17) Hyperbolic Matrix(261,-100,676,-259) (8/21,5/13) -> (5/13,12/31) Parabolic Matrix(963,-404,584,-245) (13/31,8/19) -> (28/17,5/3) Hyperbolic Matrix(1165,-492,708,-299) (8/19,11/26) -> (23/14,28/17) Hyperbolic Matrix(175,-76,76,-33) (3/7,4/9) -> (16/7,7/3) Hyperbolic Matrix(25,-12,48,-23) (5/11,1/2) -> (1/2,7/13) Parabolic Matrix(2033,-1100,560,-303) (7/13,13/24) -> (29/8,69/19) Hyperbolic Matrix(1775,-962,548,-297) (13/24,19/35) -> (55/17,13/4) Hyperbolic Matrix(3803,-2066,1364,-741) (19/35,6/11) -> (92/33,53/19) Hyperbolic Matrix(207,-116,116,-65) (5/9,4/7) -> (16/9,9/5) Hyperbolic Matrix(205,-118,172,-99) (4/7,11/19) -> (13/11,6/5) Hyperbolic Matrix(523,-304,160,-93) (11/19,7/12) -> (13/4,23/7) Hyperbolic Matrix(113,-66,12,-7) (7/12,10/17) -> (8/1,1/0) Hyperbolic Matrix(431,-254,56,-33) (10/17,13/22) -> (15/2,8/1) Hyperbolic Matrix(963,-584,404,-245) (3/5,14/23) -> (50/21,31/13) Hyperbolic Matrix(1383,-848,380,-233) (19/31,8/13) -> (40/11,11/3) Hyperbolic Matrix(1669,-1032,600,-371) (21/34,13/21) -> (25/9,39/14) Hyperbolic Matrix(309,-196,484,-307) (12/19,7/11) -> (7/11,16/25) Parabolic Matrix(571,-402,348,-245) (7/10,12/17) -> (18/11,23/14) Hyperbolic Matrix(439,-318,156,-113) (13/18,8/11) -> (14/5,17/6) Hyperbolic Matrix(499,-364,292,-213) (8/11,11/15) -> (29/17,12/7) Hyperbolic Matrix(1277,-990,396,-307) (24/31,7/9) -> (29/9,42/13) Hyperbolic Matrix(81,-64,100,-79) (7/9,4/5) -> (4/5,9/11) Parabolic Matrix(563,-480,156,-133) (11/13,6/7) -> (18/5,47/13) Hyperbolic Matrix(287,-254,200,-177) (7/8,1/1) -> (33/23,23/16) Hyperbolic Matrix(219,-248,68,-77) (1/1,8/7) -> (16/5,29/9) Hyperbolic Matrix(81,-100,64,-79) (6/5,5/4) -> (5/4,14/11) Parabolic Matrix(2005,-2568,552,-707) (32/25,9/7) -> (69/19,40/11) Hyperbolic Matrix(45,-62,8,-11) (4/3,7/5) -> (5/1,6/1) Hyperbolic Matrix(193,-274,112,-159) (7/5,10/7) -> (12/7,19/11) Hyperbolic Matrix(3033,-4346,1088,-1559) (10/7,43/30) -> (39/14,92/33) Hyperbolic Matrix(337,-526,148,-231) (14/9,11/7) -> (25/11,16/7) Hyperbolic Matrix(363,-574,160,-253) (11/7,19/12) -> (9/4,25/11) Hyperbolic Matrix(343,-556,124,-201) (21/13,13/8) -> (11/4,25/9) Hyperbolic Matrix(681,-1156,400,-679) (22/13,17/10) -> (17/10,46/27) Parabolic Matrix(325,-574,124,-219) (7/4,16/9) -> (34/13,21/8) Hyperbolic Matrix(609,-1444,256,-607) (26/11,19/8) -> (19/8,50/21) Parabolic Matrix(73,-178,16,-39) (12/5,5/2) -> (9/2,14/3) Hyperbolic Matrix(261,-676,100,-259) (18/7,13/5) -> (13/5,34/13) Parabolic Matrix(175,-474,24,-65) (27/10,19/7) -> (7/1,15/2) Hyperbolic Matrix(1073,-2996,332,-927) (53/19,14/5) -> (42/13,55/17) Hyperbolic Matrix(57,-196,16,-55) (10/3,7/2) -> (7/2,18/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(5,42,12,101) -> Matrix(1,1,-4,-3) Matrix(27,170,-44,-277) -> Matrix(1,1,-4,-3) Matrix(15,86,4,23) -> Matrix(5,3,-2,-1) Matrix(19,90,-72,-341) -> Matrix(1,3,0,1) Matrix(51,232,20,91) -> Matrix(7,6,-6,-5) Matrix(11,46,-28,-117) -> Matrix(1,1,0,1) Matrix(13,50,-32,-123) -> Matrix(1,1,-4,-3) Matrix(27,98,-116,-421) -> Matrix(1,-1,0,1) Matrix(43,152,28,99) -> Matrix(7,6,-6,-5) Matrix(75,256,104,355) -> Matrix(17,12,-10,-7) Matrix(31,104,76,255) -> Matrix(3,2,-8,-5) Matrix(31,102,24,79) -> Matrix(9,5,-2,-1) Matrix(39,110,-128,-361) -> Matrix(1,1,2,3) Matrix(41,114,-132,-367) -> Matrix(1,1,-6,-5) Matrix(125,342,72,197) -> Matrix(9,7,-4,-3) Matrix(63,170,-116,-313) -> Matrix(5,3,-2,-1) Matrix(111,292,176,463) -> Matrix(9,8,-8,-7) Matrix(45,118,188,493) -> Matrix(9,7,-4,-3) Matrix(23,60,156,407) -> Matrix(13,10,-4,-3) Matrix(181,468,432,1117) -> Matrix(3,2,-14,-9) Matrix(45,116,-296,-763) -> Matrix(3,2,-2,-1) Matrix(93,238,-220,-563) -> Matrix(11,7,-8,-5) Matrix(101,246,-264,-643) -> Matrix(1,1,0,1) Matrix(77,186,12,29) -> Matrix(1,-1,0,1) Matrix(79,188,208,495) -> Matrix(5,4,-4,-3) Matrix(185,438,-672,-1591) -> Matrix(3,1,2,1) Matrix(133,314,568,1341) -> Matrix(9,7,-4,-3) Matrix(107,252,504,1187) -> Matrix(7,4,-2,-1) Matrix(27,62,-152,-349) -> Matrix(1,1,0,1) Matrix(29,66,-156,-355) -> Matrix(1,1,-4,-3) Matrix(117,262,188,421) -> Matrix(11,7,-8,-5) Matrix(119,264,-444,-985) -> Matrix(1,2,0,1) Matrix(91,198,108,235) -> Matrix(1,1,-4,-3) Matrix(95,204,156,335) -> Matrix(17,10,-12,-7) Matrix(3,4,-4,-5) -> Matrix(1,0,2,1) Matrix(521,340,308,201) -> Matrix(1,4,0,1) Matrix(413,268,920,597) -> Matrix(1,0,2,1) Matrix(301,194,256,165) -> Matrix(1,1,0,1) Matrix(103,66,348,223) -> Matrix(1,1,-2,-1) Matrix(691,438,1128,715) -> Matrix(5,-1,-4,1) Matrix(493,312,1272,805) -> Matrix(5,-4,-6,5) Matrix(391,246,240,151) -> Matrix(1,-1,-2,3) Matrix(383,238,140,87) -> Matrix(1,3,-2,-5) Matrix(469,290,1276,789) -> Matrix(1,1,0,1) Matrix(661,408,1032,637) -> Matrix(5,6,-6,-7) Matrix(653,400,-1768,-1083) -> Matrix(3,-2,2,-1) Matrix(187,114,228,139) -> Matrix(3,1,-4,-1) Matrix(173,102,-480,-283) -> Matrix(1,7,0,1) Matrix(177,104,-788,-463) -> Matrix(1,2,0,1) Matrix(611,358,128,75) -> Matrix(5,9,-4,-7) Matrix(87,50,40,23) -> Matrix(1,1,-2,-1) Matrix(81,46,44,25) -> Matrix(3,-1,-2,1) Matrix(157,86,-356,-195) -> Matrix(1,5,0,1) Matrix(79,42,-348,-185) -> Matrix(1,1,-2,-1) Matrix(67,30,96,43) -> Matrix(1,-3,0,1) Matrix(447,196,-1024,-449) -> Matrix(1,-18,0,1) Matrix(317,138,1500,653) -> Matrix(1,7,0,1) Matrix(65,28,188,81) -> Matrix(1,2,0,1) Matrix(127,54,468,199) -> Matrix(3,5,-2,-3) Matrix(495,208,188,79) -> Matrix(7,8,-8,-9) Matrix(183,76,248,103) -> Matrix(5,4,-4,-3) Matrix(707,274,-1912,-741) -> Matrix(13,-5,8,-3) Matrix(1117,432,468,181) -> Matrix(13,-6,-2,1) Matrix(697,266,904,345) -> Matrix(13,-9,-10,7) Matrix(463,176,292,111) -> Matrix(7,-6,-8,7) Matrix(345,128,628,233) -> Matrix(1,-4,0,1) Matrix(283,104,400,147) -> Matrix(5,-12,-2,5) Matrix(167,60,732,263) -> Matrix(1,-12,0,1) Matrix(113,40,500,177) -> Matrix(1,6,0,1) Matrix(275,96,444,155) -> Matrix(3,8,-2,-5) Matrix(107,34,236,75) -> Matrix(1,1,0,1) Matrix(877,266,544,165) -> Matrix(1,-1,0,1) Matrix(103,30,24,7) -> Matrix(3,-1,-2,1) Matrix(99,28,152,43) -> Matrix(1,0,-2,1) Matrix(347,96,300,83) -> Matrix(1,-2,2,-3) Matrix(497,136,296,81) -> Matrix(1,0,0,1) Matrix(199,54,468,127) -> Matrix(1,-1,2,-1) Matrix(1281,344,1672,449) -> Matrix(5,-6,-4,5) Matrix(489,128,340,89) -> Matrix(1,-4,0,1) Matrix(143,34,164,39) -> Matrix(1,3,-2,-5) Matrix(235,54,396,91) -> Matrix(7,9,-4,-5) Matrix(91,20,232,51) -> Matrix(1,2,-2,-3) Matrix(47,10,296,63) -> Matrix(5,3,-2,-1) Matrix(137,28,44,9) -> Matrix(1,0,0,1) Matrix(135,26,244,47) -> Matrix(5,3,-2,-1) Matrix(307,54,108,19) -> Matrix(1,-1,0,1) Matrix(383,60,300,47) -> Matrix(1,-6,0,1) Matrix(1143,170,316,47) -> Matrix(7,-3,-2,1) Matrix(125,16,164,21) -> Matrix(3,-4,-2,3) Matrix(83,10,224,27) -> Matrix(1,-3,0,1) Matrix(189,-26,80,-11) -> Matrix(1,5,0,1) Matrix(367,-66,228,-41) -> Matrix(1,3,-2,-5) Matrix(303,-56,92,-17) -> Matrix(1,2,0,1) Matrix(267,-56,596,-125) -> Matrix(1,0,2,1) Matrix(355,-78,132,-29) -> Matrix(3,1,-4,-1) Matrix(1549,-360,1080,-251) -> Matrix(1,4,-2,-7) Matrix(341,-90,72,-19) -> Matrix(5,9,-4,-7) Matrix(879,-236,1136,-305) -> Matrix(5,4,-4,-3) Matrix(57,-16,196,-55) -> Matrix(3,4,-4,-5) Matrix(139,-42,96,-29) -> Matrix(1,-1,0,1) Matrix(531,-188,692,-245) -> Matrix(3,8,-2,-5) Matrix(343,-124,556,-201) -> Matrix(1,0,0,1) Matrix(1213,-444,948,-347) -> Matrix(11,6,-2,-1) Matrix(1657,-612,972,-359) -> Matrix(1,-10,0,1) Matrix(261,-100,676,-259) -> Matrix(9,10,-10,-11) Matrix(963,-404,584,-245) -> Matrix(1,0,6,1) Matrix(1165,-492,708,-299) -> Matrix(1,0,-10,1) Matrix(175,-76,76,-33) -> Matrix(1,0,0,1) Matrix(25,-12,48,-23) -> Matrix(1,-4,0,1) Matrix(2033,-1100,560,-303) -> Matrix(11,36,-4,-13) Matrix(1775,-962,548,-297) -> Matrix(1,3,6,19) Matrix(3803,-2066,1364,-741) -> Matrix(1,3,-20,-59) Matrix(207,-116,116,-65) -> Matrix(7,16,-4,-9) Matrix(205,-118,172,-99) -> Matrix(1,3,0,1) Matrix(523,-304,160,-93) -> Matrix(1,2,2,5) Matrix(113,-66,12,-7) -> Matrix(1,3,-2,-5) Matrix(431,-254,56,-33) -> Matrix(15,29,-14,-27) Matrix(963,-584,404,-245) -> Matrix(17,26,-2,-3) Matrix(1383,-848,380,-233) -> Matrix(11,14,-4,-5) Matrix(1669,-1032,600,-371) -> Matrix(1,2,-6,-11) Matrix(309,-196,484,-307) -> Matrix(13,14,-14,-15) Matrix(571,-402,348,-245) -> Matrix(1,3,-4,-11) Matrix(439,-318,156,-113) -> Matrix(3,5,-2,-3) Matrix(499,-364,292,-213) -> Matrix(13,20,-2,-3) Matrix(1277,-990,396,-307) -> Matrix(1,1,0,1) Matrix(81,-64,100,-79) -> Matrix(7,8,-8,-9) Matrix(563,-480,156,-133) -> Matrix(7,4,-2,-1) Matrix(287,-254,200,-177) -> Matrix(1,1,-2,-1) Matrix(219,-248,68,-77) -> Matrix(1,0,-2,1) Matrix(81,-100,64,-79) -> Matrix(1,-8,0,1) Matrix(2005,-2568,552,-707) -> Matrix(5,28,-2,-11) Matrix(45,-62,8,-11) -> Matrix(1,1,0,1) Matrix(193,-274,112,-159) -> Matrix(7,11,-2,-3) Matrix(3033,-4346,1088,-1559) -> Matrix(1,1,-14,-13) Matrix(337,-526,148,-231) -> Matrix(1,1,10,11) Matrix(363,-574,160,-253) -> Matrix(1,1,-12,-11) Matrix(343,-556,124,-201) -> Matrix(3,2,-8,-5) Matrix(681,-1156,400,-679) -> Matrix(1,-18,0,1) Matrix(325,-574,124,-219) -> Matrix(11,23,-12,-25) Matrix(609,-1444,256,-607) -> Matrix(1,-16,0,1) Matrix(73,-178,16,-39) -> Matrix(3,5,-2,-3) Matrix(261,-676,100,-259) -> Matrix(25,26,-26,-27) Matrix(175,-474,24,-65) -> Matrix(17,11,-14,-9) Matrix(1073,-2996,332,-927) -> Matrix(1,0,-8,1) Matrix(57,-196,16,-55) -> Matrix(1,-4,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 3 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 2 Genus: 0 Degree of H/liftables -> H/(image of liftables): 108 ----------------------------------------------------------------------- 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 2 -1/2 1/0 1 18 -4/9 (5/2,1/0) 0 18 -7/16 1/0 9 2 -10/23 (-13/2,1/0) 0 18 -3/7 -2/1 1 18 -2/5 0/1 2 6 -3/8 (1/1,2/1) 0 18 -7/19 2/1 5 6 -4/11 (7/2,1/0) 0 18 -5/14 1/0 9 2 -1/3 -1/1 1 18 -3/10 1/2 1 18 -2/7 (1/2,1/0) 0 18 -5/18 3/2 1 18 -3/11 0/1 1 18 -1/4 1/0 3 6 -2/9 (-3/2,1/0) 0 18 -3/14 -1/2 1 18 -1/5 0/1 1 18 -1/6 1/0 1 18 -1/7 1/1 1 6 -1/8 (1/1,2/1) 0 18 0/1 (-1/2,1/0) 0 18 1/7 -4/1 1 18 1/6 1/0 1 18 2/11 (-3/2,1/0) 0 18 1/5 -1/1 1 6 4/19 (1/2,1/0) 0 18 3/14 -3/2 1 18 2/9 (1/2,1/0) 0 18 5/22 1/0 9 2 3/13 -4/1 1 18 1/4 (-2/1,-1/1) 0 18 4/15 (-3/2,-5/4) 0 18 3/11 -1/1 1 18 2/7 -1/1 2 2 5/17 -1/1 1 18 3/10 -1/2 1 18 1/3 0/1 1 18 6/17 (-9/2,1/0) 0 18 5/14 -5/2 1 18 4/11 -1/1 2 6 11/30 -1/2 1 18 7/19 1/1 1 18 10/27 (-7/2,1/0) 0 18 3/8 (-2/1,-1/1) 0 18 5/13 -1/1 5 2 7/18 -3/4 1 18 2/5 (-1/2,1/0) 0 18 5/12 (-1/3,0/1) 0 18 8/19 0/1 8 2 11/26 1/6 1 18 3/7 1/1 1 18 4/9 (1/4,1/2) 0 18 5/11 0/1 1 18 1/2 1/0 2 6 7/13 -4/1 1 18 13/24 (-16/5,-3/1) 0 18 19/35 -3/1 17 2 6/11 (-11/4,-5/2) 0 18 5/9 -3/1 1 18 4/7 (-3/2,1/0) 0 18 11/19 -3/1 1 6 7/12 (-3/1,-2/1) 0 18 10/17 -2/1 8 2 13/22 -11/6 1 18 3/5 -2/1 1 18 11/18 -3/2 1 18 19/31 -1/1 1 18 8/13 -1/1 2 6 21/34 -5/2 1 18 13/21 -5/3 1 18 5/8 (-4/3,-1/1) 0 18 7/11 -1/1 7 2 9/14 -3/4 1 18 2/3 (-1/2,1/0) 0 18 7/10 1/0 1 18 12/17 (-11/4,-5/2) 0 18 5/7 -2/1 5 6 8/11 (-13/8,-3/2) 0 18 3/4 (-2/1,-1/1) 0 18 13/17 -1/1 1 6 10/13 (-3/2,-11/8) 0 18 7/9 -4/3 1 18 4/5 -1/1 4 2 9/11 -4/5 1 18 5/6 -1/2 1 18 6/7 (-1/2,1/0) 0 18 1/1 -1/1 1 18 8/7 0/1 2 6 7/6 1/0 1 18 13/11 0/1 1 6 6/5 (3/2,1/0) 0 18 5/4 1/0 4 2 4/3 (-5/2,1/0) 0 18 7/5 -2/1 5 6 10/7 (-3/2,-5/4) 0 18 13/9 -1/1 1 18 3/2 -3/2 1 18 11/7 -1/1 11 2 19/12 (-1/1,-8/9) 0 18 8/5 (-3/4,-1/2) 0 18 21/13 -1/1 1 18 13/8 -1/2 3 6 18/11 (-1/2,1/0) 0 18 23/14 -1/4 1 18 5/3 0/1 1 18 22/13 (9/2,1/0) 0 18 17/10 1/0 9 2 12/7 (-9/2,1/0) 0 18 7/4 (-3/1,-2/1) 0 18 16/9 (-11/6,-7/4) 0 18 9/5 -5/3 1 18 2/1 -1/1 2 6 9/4 (-1/3,0/1) 0 18 16/7 (1/4,1/2) 0 18 7/3 1/1 1 18 26/11 (9/2,1/0) 0 18 19/8 1/0 8 2 12/5 (-7/2,1/0) 0 18 5/2 -3/2 1 18 13/5 -1/1 13 2 21/8 (-1/1,-10/11) 0 18 8/3 (-5/6,-3/4) 0 18 27/10 -7/10 1 18 19/7 -3/5 1 18 11/4 -1/2 3 6 25/9 -1/3 1 18 39/14 -1/8 1 18 53/19 0/1 17 2 14/5 (1/2,1/0) 0 18 3/1 0/1 1 18 16/5 0/1 2 6 29/9 -1/3 1 18 13/4 (0/1,1/1) 0 18 23/7 1/1 1 6 10/3 (1/2,1/0) 0 18 7/2 1/0 2 2 4/1 (-3/2,1/0) 0 18 9/2 1/0 1 18 14/3 (-3/2,-11/8) 0 18 19/4 (-4/3,-1/1) 0 18 5/1 -1/1 5 6 6/1 (-3/2,1/0) 0 18 1/0 (-1/1,0/1) 0 18 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(3,2,-4,-3) (-1/1,-1/2) -> (-1/1,-1/2) Reflection Matrix(67,30,96,43) (-1/2,-4/9) -> (2/3,7/10) Hyperbolic Matrix(127,56,-288,-127) (-4/9,-7/16) -> (-4/9,-7/16) Reflection Matrix(321,140,-736,-321) (-7/16,-10/23) -> (-7/16,-10/23) Reflection Matrix(65,28,188,81) (-10/23,-3/7) -> (1/3,6/17) Hyperbolic Matrix(59,24,32,13) (-3/7,-2/5) -> (9/5,2/1) Glide Reflection Matrix(61,24,28,11) (-2/5,-3/8) -> (2/1,9/4) Glide Reflection Matrix(401,148,84,31) (-3/8,-7/19) -> (19/4,5/1) Glide Reflection Matrix(283,104,400,147) (-7/19,-4/11) -> (12/17,5/7) Hyperbolic Matrix(111,40,-308,-111) (-4/11,-5/14) -> (-4/11,-5/14) Reflection Matrix(57,20,248,87) (-5/14,-1/3) -> (5/22,3/13) Glide Reflection Matrix(105,32,128,39) (-1/3,-3/10) -> (9/11,5/6) Glide Reflection Matrix(103,30,24,7) (-3/10,-2/7) -> (4/1,9/2) Hyperbolic Matrix(99,28,152,43) (-2/7,-5/18) -> (9/14,2/3) Hyperbolic Matrix(247,68,672,185) (-5/18,-3/11) -> (11/30,7/19) Glide Reflection Matrix(197,52,72,19) (-3/11,-1/4) -> (19/7,11/4) Glide Reflection Matrix(189,44,116,27) (-1/4,-2/9) -> (13/8,18/11) Glide Reflection Matrix(91,20,232,51) (-2/9,-3/14) -> (7/18,2/5) Hyperbolic Matrix(321,68,524,111) (-3/14,-1/5) -> (11/18,19/31) Glide Reflection Matrix(45,8,152,27) (-1/5,-1/6) -> (5/17,3/10) Glide Reflection Matrix(127,20,108,17) (-1/6,-1/7) -> (7/6,13/11) Glide Reflection Matrix(125,16,164,21) (-1/7,-1/8) -> (3/4,13/17) Hyperbolic Matrix(83,10,224,27) (-1/8,0/1) -> (10/27,3/8) Hyperbolic Matrix(189,-26,80,-11) (0/1,1/7) -> (7/3,26/11) Hyperbolic Matrix(95,-14,156,-23) (1/7,1/6) -> (3/5,11/18) Glide Reflection Matrix(91,-16,108,-19) (1/6,2/11) -> (5/6,6/7) Glide Reflection Matrix(303,-56,92,-17) (2/11,1/5) -> (23/7,10/3) Hyperbolic Matrix(297,-62,388,-81) (1/5,4/19) -> (13/17,10/13) Glide Reflection Matrix(179,-38,504,-107) (4/19,3/14) -> (6/17,5/14) Glide Reflection Matrix(355,-78,132,-29) (3/14,2/9) -> (8/3,27/10) Hyperbolic Matrix(89,-20,396,-89) (2/9,5/22) -> (2/9,5/22) Reflection Matrix(117,-28,188,-45) (3/13,1/4) -> (13/21,5/8) Glide Reflection Matrix(341,-90,72,-19) (1/4,4/15) -> (14/3,19/4) Hyperbolic Matrix(141,-38,256,-69) (4/15,3/11) -> (6/11,5/9) Glide Reflection Matrix(57,-16,196,-55) (3/11,2/7) -> (2/7,5/17) Parabolic Matrix(139,-42,96,-29) (3/10,1/3) -> (13/9,3/2) Hyperbolic Matrix(343,-124,556,-201) (5/14,4/11) -> (8/13,21/34) Hyperbolic Matrix(317,-116,276,-101) (4/11,11/30) -> (8/7,7/6) Glide Reflection Matrix(553,-204,328,-121) (7/19,10/27) -> (5/3,22/13) Glide Reflection Matrix(79,-30,208,-79) (3/8,5/13) -> (3/8,5/13) Reflection Matrix(181,-70,468,-181) (5/13,7/18) -> (5/13,7/18) Reflection Matrix(77,-32,12,-5) (2/5,5/12) -> (6/1,1/0) Glide Reflection Matrix(253,-106,432,-181) (5/12,8/19) -> (7/12,10/17) Glide Reflection Matrix(507,-214,860,-363) (8/19,11/26) -> (10/17,13/22) Glide Reflection Matrix(683,-290,252,-107) (11/26,3/7) -> (27/10,19/7) Glide Reflection Matrix(175,-76,76,-33) (3/7,4/9) -> (16/7,7/3) Hyperbolic Matrix(173,-78,224,-101) (4/9,5/11) -> (10/13,7/9) Glide Reflection Matrix(25,-12,48,-23) (5/11,1/2) -> (1/2,7/13) Parabolic Matrix(865,-468,268,-145) (7/13,13/24) -> (29/9,13/4) Glide Reflection Matrix(911,-494,1680,-911) (13/24,19/35) -> (13/24,19/35) Reflection Matrix(1073,-584,384,-209) (19/35,6/11) -> (53/19,14/5) Glide Reflection Matrix(207,-116,116,-65) (5/9,4/7) -> (16/9,9/5) Hyperbolic Matrix(205,-118,172,-99) (4/7,11/19) -> (13/11,6/5) Hyperbolic Matrix(523,-304,160,-93) (11/19,7/12) -> (13/4,23/7) Hyperbolic Matrix(225,-134,136,-81) (13/22,3/5) -> (23/14,5/3) Glide Reflection Matrix(535,-328,168,-103) (19/31,8/13) -> (3/1,16/5) Glide Reflection Matrix(1669,-1032,600,-371) (21/34,13/21) -> (25/9,39/14) Hyperbolic Matrix(111,-70,176,-111) (5/8,7/11) -> (5/8,7/11) Reflection Matrix(197,-126,308,-197) (7/11,9/14) -> (7/11,9/14) Reflection Matrix(571,-402,348,-245) (7/10,12/17) -> (18/11,23/14) Hyperbolic Matrix(147,-106,104,-75) (5/7,8/11) -> (7/5,10/7) Glide Reflection Matrix(125,-92,72,-53) (8/11,3/4) -> (12/7,7/4) Glide Reflection Matrix(81,-64,100,-79) (7/9,4/5) -> (4/5,9/11) Parabolic Matrix(155,-134,96,-83) (6/7,1/1) -> (8/5,21/13) Glide Reflection Matrix(219,-248,68,-77) (1/1,8/7) -> (16/5,29/9) Hyperbolic Matrix(49,-60,40,-49) (6/5,5/4) -> (6/5,5/4) Reflection Matrix(31,-40,24,-31) (5/4,4/3) -> (5/4,4/3) Reflection Matrix(45,-62,8,-11) (4/3,7/5) -> (5/1,6/1) Hyperbolic Matrix(147,-212,52,-75) (10/7,13/9) -> (14/5,3/1) Glide Reflection Matrix(43,-66,28,-43) (3/2,11/7) -> (3/2,11/7) Reflection Matrix(265,-418,168,-265) (11/7,19/12) -> (11/7,19/12) Reflection Matrix(237,-376,104,-165) (19/12,8/5) -> (9/4,16/7) Glide Reflection Matrix(343,-556,124,-201) (21/13,13/8) -> (11/4,25/9) Hyperbolic Matrix(441,-748,260,-441) (22/13,17/10) -> (22/13,17/10) Reflection Matrix(239,-408,140,-239) (17/10,12/7) -> (17/10,12/7) Reflection Matrix(221,-392,84,-149) (7/4,16/9) -> (21/8,8/3) Glide Reflection Matrix(417,-988,176,-417) (26/11,19/8) -> (26/11,19/8) Reflection Matrix(191,-456,80,-191) (19/8,12/5) -> (19/8,12/5) Reflection Matrix(73,-178,16,-39) (12/5,5/2) -> (9/2,14/3) Hyperbolic Matrix(51,-130,20,-51) (5/2,13/5) -> (5/2,13/5) Reflection Matrix(209,-546,80,-209) (13/5,21/8) -> (13/5,21/8) Reflection Matrix(1483,-4134,532,-1483) (39/14,53/19) -> (39/14,53/19) Reflection Matrix(41,-140,12,-41) (10/3,7/2) -> (10/3,7/2) Reflection Matrix(15,-56,4,-15) (7/2,4/1) -> (7/2,4/1) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(-1,0,2,1) (-1/1,1/0) -> (-1/1,0/1) Matrix(3,2,-4,-3) -> Matrix(1,0,0,-1) (-1/1,-1/2) -> (0/1,1/0) Matrix(67,30,96,43) -> Matrix(1,-3,0,1) 1/0 Matrix(127,56,-288,-127) -> Matrix(-1,5,0,1) (-4/9,-7/16) -> (5/2,1/0) Matrix(321,140,-736,-321) -> Matrix(1,13,0,-1) (-7/16,-10/23) -> (-13/2,1/0) Matrix(65,28,188,81) -> Matrix(1,2,0,1) 1/0 Matrix(59,24,32,13) -> Matrix(3,1,-2,-1) Matrix(61,24,28,11) -> Matrix(1,-1,-2,1) Matrix(401,148,84,31) -> Matrix(5,-9,-4,7) Matrix(283,104,400,147) -> Matrix(5,-12,-2,5) Matrix(111,40,-308,-111) -> Matrix(-1,7,0,1) (-4/11,-5/14) -> (7/2,1/0) Matrix(57,20,248,87) -> Matrix(1,5,0,-1) *** -> (-5/2,1/0) Matrix(105,32,128,39) -> Matrix(3,-1,-4,1) Matrix(103,30,24,7) -> Matrix(3,-1,-2,1) Matrix(99,28,152,43) -> Matrix(1,0,-2,1) 0/1 Matrix(247,68,672,185) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(197,52,72,19) -> Matrix(1,-3,-2,5) Matrix(189,44,116,27) -> Matrix(1,1,-2,-3) Matrix(91,20,232,51) -> Matrix(1,2,-2,-3) -1/1 Matrix(321,68,524,111) -> Matrix(5,1,-4,-1) Matrix(45,8,152,27) -> Matrix(1,-1,-2,1) Matrix(127,20,108,17) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(125,16,164,21) -> Matrix(3,-4,-2,3) Matrix(83,10,224,27) -> Matrix(1,-3,0,1) 1/0 Matrix(189,-26,80,-11) -> Matrix(1,5,0,1) 1/0 Matrix(95,-14,156,-23) -> Matrix(3,10,-2,-7) Matrix(91,-16,108,-19) -> Matrix(1,1,-2,-3) Matrix(303,-56,92,-17) -> Matrix(1,2,0,1) 1/0 Matrix(297,-62,388,-81) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(179,-38,504,-107) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(355,-78,132,-29) -> Matrix(3,1,-4,-1) -1/2 Matrix(89,-20,396,-89) -> Matrix(-1,1,0,1) (2/9,5/22) -> (1/2,1/0) Matrix(117,-28,188,-45) -> Matrix(3,7,-2,-5) Matrix(341,-90,72,-19) -> Matrix(5,9,-4,-7) -3/2 Matrix(141,-38,256,-69) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(57,-16,196,-55) -> Matrix(3,4,-4,-5) -1/1 Matrix(139,-42,96,-29) -> Matrix(1,-1,0,1) 1/0 Matrix(343,-124,556,-201) -> Matrix(1,0,0,1) Matrix(317,-116,276,-101) -> Matrix(1,1,2,1) Matrix(553,-204,328,-121) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(79,-30,208,-79) -> Matrix(3,4,-2,-3) (3/8,5/13) -> (-2/1,-1/1) Matrix(181,-70,468,-181) -> Matrix(7,6,-8,-7) (5/13,7/18) -> (-1/1,-3/4) Matrix(77,-32,12,-5) -> Matrix(3,1,-2,-1) Matrix(253,-106,432,-181) -> Matrix(9,2,-4,-1) Matrix(507,-214,860,-363) -> Matrix(23,-2,-12,1) Matrix(683,-290,252,-107) -> Matrix(5,-2,-8,3) Matrix(175,-76,76,-33) -> Matrix(1,0,0,1) Matrix(173,-78,224,-101) -> Matrix(5,-4,-4,3) Matrix(25,-12,48,-23) -> Matrix(1,-4,0,1) 1/0 Matrix(865,-468,268,-145) -> Matrix(1,3,-4,-13) Matrix(911,-494,1680,-911) -> Matrix(31,96,-10,-31) (13/24,19/35) -> (-16/5,-3/1) Matrix(1073,-584,384,-209) -> Matrix(1,3,4,11) Matrix(207,-116,116,-65) -> Matrix(7,16,-4,-9) -2/1 Matrix(205,-118,172,-99) -> Matrix(1,3,0,1) 1/0 Matrix(523,-304,160,-93) -> Matrix(1,2,2,5) Matrix(225,-134,136,-81) -> Matrix(1,2,2,3) Matrix(535,-328,168,-103) -> Matrix(1,1,-4,-5) Matrix(1669,-1032,600,-371) -> Matrix(1,2,-6,-11) Matrix(111,-70,176,-111) -> Matrix(7,8,-6,-7) (5/8,7/11) -> (-4/3,-1/1) Matrix(197,-126,308,-197) -> Matrix(7,6,-8,-7) (7/11,9/14) -> (-1/1,-3/4) Matrix(571,-402,348,-245) -> Matrix(1,3,-4,-11) Matrix(147,-106,104,-75) -> Matrix(7,12,-4,-7) *** -> (-2/1,-3/2) Matrix(125,-92,72,-53) -> Matrix(5,7,-2,-3) Matrix(81,-64,100,-79) -> Matrix(7,8,-8,-9) -1/1 Matrix(155,-134,96,-83) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(219,-248,68,-77) -> Matrix(1,0,-2,1) 0/1 Matrix(49,-60,40,-49) -> Matrix(-1,3,0,1) (6/5,5/4) -> (3/2,1/0) Matrix(31,-40,24,-31) -> Matrix(1,5,0,-1) (5/4,4/3) -> (-5/2,1/0) Matrix(45,-62,8,-11) -> Matrix(1,1,0,1) 1/0 Matrix(147,-212,52,-75) -> Matrix(1,1,-2,-3) Matrix(43,-66,28,-43) -> Matrix(5,6,-4,-5) (3/2,11/7) -> (-3/2,-1/1) Matrix(265,-418,168,-265) -> Matrix(17,16,-18,-17) (11/7,19/12) -> (-1/1,-8/9) Matrix(237,-376,104,-165) -> Matrix(1,1,6,5) Matrix(343,-556,124,-201) -> Matrix(3,2,-8,-5) -1/2 Matrix(441,-748,260,-441) -> Matrix(-1,9,0,1) (22/13,17/10) -> (9/2,1/0) Matrix(239,-408,140,-239) -> Matrix(1,9,0,-1) (17/10,12/7) -> (-9/2,1/0) Matrix(221,-392,84,-149) -> Matrix(9,17,-10,-19) Matrix(417,-988,176,-417) -> Matrix(-1,9,0,1) (26/11,19/8) -> (9/2,1/0) Matrix(191,-456,80,-191) -> Matrix(1,7,0,-1) (19/8,12/5) -> (-7/2,1/0) Matrix(73,-178,16,-39) -> Matrix(3,5,-2,-3) (-2/1,-1/1).(-3/2,1/0) Matrix(51,-130,20,-51) -> Matrix(5,6,-4,-5) (5/2,13/5) -> (-3/2,-1/1) Matrix(209,-546,80,-209) -> Matrix(21,20,-22,-21) (13/5,21/8) -> (-1/1,-10/11) Matrix(1483,-4134,532,-1483) -> Matrix(-1,0,16,1) (39/14,53/19) -> (-1/8,0/1) Matrix(41,-140,12,-41) -> Matrix(-1,1,0,1) (10/3,7/2) -> (1/2,1/0) Matrix(15,-56,4,-15) -> Matrix(1,3,0,-1) (7/2,4/1) -> (-3/2,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.