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 -1/1 -5/11 -7/16 -13/31 -2/5 -11/29 -1/3 -7/25 -1/4 -5/23 -2/11 -1/7 0/1 1/5 2/7 1/3 4/11 5/13 17/37 1/2 19/35 7/11 5/7 13/17 4/5 1/1 19/17 13/11 79/65 5/4 7/5 3/2 11/7 28/17 5/3 19/11 23/13 9/5 2/1 37/17 11/5 25/11 7/3 19/8 31/13 17/7 5/2 13/5 19/7 31/11 3/1 16/5 55/17 13/4 23/7 10/3 37/11 17/5 7/2 25/7 47/13 113/31 11/3 19/5 27/7 4/1 29/7 21/5 73/17 13/3 22/5 9/2 59/13 325/71 23/5 37/8 14/3 5/1 27/5 11/2 61/11 17/3 23/4 29/5 6/1 31/5 19/3 45/7 13/2 7/1 8/1 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 1/3 -6/13 1/3 2/5 -11/24 1/3 1/2 -5/11 1/4 1/2 -19/42 1/3 1/2 -14/31 1/2 4/7 -9/20 0/1 1/3 -4/9 0/1 1/3 -11/25 1/2 -29/66 0/1 1/3 -18/41 1/3 1/2 -25/57 0/1 1/2 1/1 -7/16 0/1 -17/39 1/4 -27/62 0/1 1/3 -10/23 1/4 1/3 -3/7 0/1 1/3 1/2 -11/26 1/3 -19/45 1/4 -27/64 0/1 1/3 -8/19 0/1 1/3 -13/31 1/3 -18/43 1/3 2/5 -41/98 3/7 -23/55 0/1 1/3 1/2 -5/12 0/1 1/3 -17/41 0/1 -12/29 2/9 1/4 -19/46 1/3 -7/17 1/4 -9/22 1/3 3/8 -2/5 1/3 -9/23 1/4 -7/18 1/3 4/11 -19/49 3/8 1/2 -12/31 2/5 1/2 -17/44 1/3 -5/13 1/3 2/5 1/2 -13/34 1/3 -21/55 1/2 -8/21 1/3 1/2 -11/29 1/3 -14/37 1/3 3/8 -17/45 1/3 3/8 2/5 -3/8 1/3 2/5 -7/19 1/2 -4/11 1/3 2/5 -9/25 3/7 4/9 1/2 -5/14 1/2 -11/31 0/1 1/2 1/1 -6/17 1/3 2/5 -13/37 2/5 -7/20 3/7 1/2 -8/23 5/11 -9/26 14/29 1/2 -1/3 1/2 -9/28 12/25 1/2 -8/25 1/2 14/27 -7/22 5/9 -13/41 1/2 4/7 3/5 -6/19 1/2 3/5 -11/35 2/3 -5/16 2/3 1/1 -9/29 0/1 1/3 1/2 -4/13 1/2 -7/23 1/2 4/7 3/5 -3/10 2/3 1/1 -5/17 1/2 -2/7 2/3 1/1 -7/25 1/1 -12/43 0/1 1/1 -17/61 0/1 1/2 1/1 -22/79 1/3 -5/18 1/2 1/1 -13/47 1/2 -8/29 1/1 -3/11 1/2 2/3 1/1 -10/37 1/1 -7/26 1/2 2/3 -11/41 1/2 3/4 -4/15 4/5 1/1 -9/34 1/1 6/5 -5/19 1/0 -1/4 1/1 -4/17 3/4 1/1 -7/30 1/1 5/4 -3/13 1/0 -8/35 1/1 -5/22 -2/1 1/0 -7/31 0/1 -2/9 0/1 1/1 -5/23 1/1 -8/37 1/1 2/1 -11/51 1/1 2/1 1/0 -14/65 -1/1 -3/14 0/1 1/1 -10/47 0/1 1/1 -7/33 1/0 -4/19 1/1 -1/5 0/1 1/2 1/1 -3/16 1/1 1/0 -8/43 0/1 1/1 -5/27 1/0 -2/11 0/1 -7/39 0/1 1/3 1/2 -19/106 3/7 -12/67 1/2 6/11 -5/28 1/2 1/1 -8/45 0/1 1/1 -3/17 1/2 -1/6 0/1 1/1 -2/13 0/1 1/1 -3/20 4/9 1/2 -1/7 1/2 1/0 -3/22 4/9 1/2 -8/59 5/9 -5/37 1/2 3/5 2/3 -2/15 1/2 1/1 -1/8 2/3 1/1 0/1 0/1 1/1 1/7 0/1 1/1 1/0 2/13 1/1 5/32 0/1 1/1 3/19 1/2 1/6 1/1 2/1 4/23 1/0 3/17 0/1 1/1 1/0 2/11 1/1 1/0 1/5 1/2 1/0 4/19 1/1 1/0 3/14 -4/1 1/0 8/37 -1/1 5/23 -1/1 0/1 1/0 12/55 -1/1 0/1 7/32 -1/1 2/9 0/1 1/1 5/22 1/0 3/13 -1/1 0/1 1/0 7/30 -1/1 0/1 11/47 -1/2 4/17 -1/1 5/21 -1/2 1/4 0/1 1/1 4/15 1/2 2/3 15/56 0/1 1/1 11/41 0/1 1/2 1/1 7/26 1/1 3/11 1/0 14/51 0/1 1/5 11/40 1/1 8/29 0/1 1/1 13/47 1/1 5/18 1/1 1/0 7/25 -1/1 0/1 1/0 2/7 0/1 5/17 1/2 8/27 0/1 1/1 3/10 1/2 1/1 4/13 0/1 1/0 9/29 1/2 5/16 1/1 1/3 0/1 1/1 1/0 6/17 1/2 1/1 5/14 0/1 1/0 4/11 1/1 11/30 -1/1 0/1 7/19 1/2 10/27 0/1 1/1 3/8 0/1 1/1 5/13 1/1 7/18 1/1 2/1 16/41 3/1 9/23 0/1 1/1 1/0 2/5 0/1 1/1 11/27 1/0 9/22 -1/1 0/1 7/17 0/1 5/12 2/5 1/2 18/43 3/5 2/3 13/31 1/2 2/3 1/1 21/50 2/3 1/1 8/19 1/1 11/26 0/1 1/1 14/33 0/1 1/1 3/7 1/2 4/9 1/1 3/2 9/20 2/1 3/1 5/11 0/1 1/1 1/0 11/24 0/1 1/1 17/37 1/1 23/50 1/1 2/1 6/13 0/1 1/0 1/2 1/1 8/15 1/1 1/0 7/13 0/1 1/1 1/0 13/24 0/1 1/1 19/35 1/1 6/11 2/1 1/0 17/31 0/1 11/20 0/1 1/1 5/9 1/2 4/7 1/1 4/3 19/33 3/2 5/3 2/1 53/92 5/3 2/1 34/59 5/3 15/26 2/1 3/1 26/45 1/1 2/1 11/19 3/2 1/0 7/12 2/1 1/0 10/17 1/1 3/5 1/1 2/1 1/0 14/23 1/1 2/1 11/18 0/1 1/1 19/31 3/2 8/13 1/1 21/34 3/2 2/1 13/21 1/0 31/50 1/0 18/29 0/1 1/1 23/37 1/1 28/45 1/1 2/1 5/8 1/1 1/0 7/11 1/1 9/14 1/1 3/2 11/17 1/1 3/2 2/1 13/20 1/1 2/3 1/1 2/1 9/13 1/0 25/36 2/1 7/3 16/23 3/1 7/10 2/1 1/0 26/37 3/1 45/64 3/1 4/1 19/27 1/0 50/71 3/1 1/0 31/44 3/1 43/61 3/1 4/1 1/0 12/17 3/1 4/1 5/7 1/0 13/18 -1/1 0/1 47/65 0/1 1/1 1/0 34/47 0/1 21/29 1/0 50/69 0/1 1/3 29/40 1/1 8/11 0/1 1/0 11/15 1/0 25/34 1/1 1/0 14/19 1/1 3/4 1/1 2/1 16/21 2/1 3/1 13/17 5/2 1/0 23/30 2/1 1/0 10/13 5/2 3/1 17/22 3/1 7/9 3/1 4/1 1/0 18/23 4/1 5/1 11/14 4/1 5/1 26/33 5/1 1/0 15/19 1/0 4/5 1/0 17/21 1/0 13/16 -2/1 -1/1 22/27 -1/1 1/0 9/11 -1/1 0/1 1/0 23/28 -1/1 37/45 -1/4 14/17 0/1 1/3 19/23 1/2 1/0 5/6 1/1 2/1 16/19 1/1 2/1 27/32 1/1 3/2 11/13 2/1 6/7 3/1 1/0 7/8 5/1 8/9 14/1 1/0 1/1 1/0 10/9 12/1 1/0 19/17 1/0 28/25 -40/1 1/0 9/8 -14/1 1/0 8/7 -5/1 31/27 -9/2 23/20 -4/1 -11/3 15/13 -4/1 -3/1 1/0 7/6 -3/1 1/0 20/17 -3/1 -2/1 33/28 -3/1 -2/1 13/11 -2/1 6/5 -2/1 -1/1 23/19 -1/2 1/0 40/33 -1/1 0/1 17/14 -1/3 0/1 79/65 0/1 62/51 0/1 1/11 45/37 1/4 28/23 1/1 11/9 0/1 1/1 1/0 27/22 1/1 1/0 16/13 1/1 2/1 5/4 1/0 24/19 -7/1 -6/1 19/15 1/0 33/26 -5/1 1/0 47/37 -5/1 14/11 -5/1 -4/1 23/18 -5/1 -4/1 32/25 -3/1 9/7 -4/1 -3/1 1/0 31/24 -4/1 1/0 22/17 -3/1 13/10 -3/1 -5/2 17/13 -5/2 1/0 38/29 -2/1 -1/1 21/16 -3/1 -2/1 25/19 -3/1 -5/2 -2/1 29/22 -7/3 4/3 -2/1 -1/1 23/17 -2/1 -1/1 1/0 65/48 -3/1 -2/1 42/31 -2/1 -1/1 19/14 -1/1 53/39 -1/1 0/1 1/0 34/25 -1/1 1/0 83/61 -2/1 0/1 49/36 -1/1 1/0 15/11 1/0 26/19 -1/1 11/8 0/1 1/0 29/21 1/0 47/34 0/1 65/47 -1/1 0/1 1/0 18/13 0/1 1/1 7/5 1/0 17/12 -4/1 -3/1 61/43 -4/1 -3/1 1/0 44/31 -3/1 27/19 1/0 37/26 -3/1 10/7 -2/1 1/0 53/37 -3/1 43/30 -3/1 -2/1 33/23 -3/1 -2/1 1/0 23/16 -3/1 59/41 -3/1 -5/2 -2/1 36/25 -7/3 -2/1 85/59 -2/1 49/34 -2/1 -5/3 13/9 1/0 16/11 -2/1 19/13 -3/1 -2/1 1/0 41/28 -3/1 22/15 -3/1 -2/1 3/2 -2/1 -1/1 11/7 -1/1 19/12 -1/1 0/1 65/41 1/0 46/29 -1/1 27/17 -1/1 0/1 1/0 62/39 -1/3 0/1 35/22 1/1 8/5 -1/1 1/0 45/28 -2/1 -1/1 37/23 -1/1 29/18 -1/1 0/1 21/13 1/0 13/8 -1/1 44/27 -2/1 -1/1 31/19 -3/2 49/30 -6/5 -1/1 67/41 -1/1 18/11 -1/1 0/1 23/14 -2/1 -1/1 28/17 -1/1 5/3 -2/1 -1/1 1/0 22/13 -2/1 -1/1 61/36 -2/1 -1/1 100/59 -3/1 39/23 -3/2 17/10 -1/1 46/27 -1/1 0/1 29/17 1/0 12/7 -2/1 1/0 31/18 -3/2 -1/1 19/11 -3/2 1/0 45/26 -2/1 -1/1 26/15 -3/1 -2/1 59/34 -5/3 33/19 -2/1 -5/3 -3/2 7/4 -4/3 -1/1 23/13 -1/1 39/22 -1/1 -16/17 16/9 -1/1 -6/7 9/5 -1/2 20/11 -1/1 0/1 11/6 -2/1 1/0 35/19 -1/1 24/13 -1/1 0/1 37/20 -1/1 13/7 -1/1 0/1 1/0 2/1 -1/1 15/7 1/0 13/6 0/1 1/0 37/17 -1/1 24/11 -1/1 0/1 11/5 -1/1 0/1 1/0 20/9 -3/1 -2/1 49/22 -2/1 -1/1 29/13 -3/2 1/0 9/4 -3/2 -1/1 25/11 -1/1 41/18 -1/1 -13/14 16/7 -1/1 -5/6 7/3 -1/2 47/20 0/1 1/5 40/17 1/1 33/14 -1/1 0/1 59/25 -1/1 26/11 -1/1 0/1 45/19 -1/1 0/1 1/0 19/8 -1/1 69/29 -3/4 50/21 -1/1 -2/3 81/34 -5/7 -2/3 31/13 -1/1 -2/3 -1/2 74/31 -1/1 43/18 -2/3 -3/5 12/5 -1/2 -2/5 29/12 -1/3 0/1 75/31 -1/4 46/19 -1/5 0/1 17/7 0/1 39/16 1/2 2/3 22/9 0/1 1/1 49/20 1/1 76/31 0/1 1/1 27/11 1/0 5/2 -1/1 0/1 13/5 -1/1 21/8 -1/1 -2/3 50/19 -1/1 129/49 -1/2 208/79 -1/1 0/1 287/109 -1/1 79/30 -1/1 -2/3 108/41 -2/3 -3/5 29/11 -1/1 -2/3 -1/2 37/14 -1/3 82/31 -1/7 0/1 209/79 0/1 127/48 0/1 1/7 45/17 1/0 8/3 -1/1 0/1 35/13 0/1 62/23 -1/1 1/0 27/10 -1/1 0/1 100/37 -1/3 0/1 73/27 -1/1 0/1 1/0 46/17 -1/1 19/7 -1/2 49/18 -1/5 0/1 79/29 0/1 30/11 0/1 1/1 41/15 -1/1 0/1 1/0 52/19 -1/1 0/1 11/4 -1/1 25/9 -1/2 39/14 -1/4 0/1 53/19 0/1 14/5 0/1 1/0 31/11 -1/2 1/0 17/6 -1/1 -1/2 3/1 -1/1 0/1 1/0 16/5 -1/1 29/9 -1/2 42/13 -1/4 0/1 55/17 0/1 13/4 0/1 1/0 23/7 -1/2 1/0 56/17 -1/1 0/1 33/10 0/1 1/1 10/3 -1/1 -1/2 37/11 0/1 64/19 -1/1 0/1 27/8 -1/1 0/1 71/21 -1/1 -1/2 0/1 44/13 -1/1 17/5 -1/2 24/7 -1/3 0/1 7/2 0/1 32/9 -1/1 0/1 57/16 0/1 1/1 82/23 1/1 25/7 0/1 1/1 1/0 68/19 3/1 43/12 -6/1 1/0 18/5 -1/1 1/0 65/18 -2/1 -1/1 112/31 -2/1 -1/1 47/13 -1/1 76/21 -1/1 0/1 29/8 -1/1 0/1 69/19 -1/1 -1/2 0/1 40/11 -1/1 91/25 -1/2 -1/3 0/1 51/14 -1/5 0/1 113/31 0/1 62/17 0/1 1/5 11/3 1/0 26/7 -1/1 67/18 -1/1 -1/2 41/11 -1/1 -1/2 0/1 56/15 -1/1 0/1 71/19 -1/1 15/4 -2/3 -1/2 19/5 0/1 23/6 0/1 1/1 27/7 1/0 58/15 -1/1 0/1 31/8 -1/1 4/1 -1/1 0/1 29/7 0/1 25/6 0/1 1/5 21/5 1/2 17/4 1/1 64/15 -1/3 0/1 175/41 0/1 111/26 0/1 1/7 47/11 1/2 30/7 0/1 1/1 73/17 1/1 43/10 0/1 1/0 13/3 0/1 1/1 1/0 22/5 1/0 53/12 -3/1 -2/1 31/7 1/0 9/2 -1/1 0/1 59/13 0/1 50/11 0/1 1/5 41/9 1/2 32/7 1/1 119/26 0/1 1/1 325/71 1/1 206/45 1/1 2/1 87/19 1/0 55/12 0/1 1/1 23/5 0/1 1/1 1/0 83/18 0/1 1/3 60/13 0/1 1/1 37/8 1/1 14/3 4/1 1/0 5/1 -1/2 1/0 16/3 4/1 1/0 43/8 -5/1 27/5 -3/1 -2/1 1/0 11/2 -1/1 1/0 61/11 -2/1 0/1 50/9 -1/1 1/0 39/7 1/0 28/5 -1/1 17/3 -1/1 0/1 1/0 23/4 1/0 29/5 1/0 6/1 -2/1 -1/1 31/5 -1/1 25/4 -1/1 -4/5 19/3 -1/2 32/5 -1/1 0/1 45/7 -1/1 -1/2 0/1 13/2 -1/1 7/1 -1/1 0/1 1/0 8/1 -1/1 9/1 -1/2 19/2 1/1 10/1 -1/1 0/1 11/1 -1/1 1/0 -1/1 0/1 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(335,156,204,95) (-1/2,-6/13) -> (18/11,23/14) Hyperbolic Matrix(735,338,598,275) (-6/13,-11/24) -> (27/22,16/13) Hyperbolic Matrix(329,150,-726,-331) (-11/24,-5/11) -> (-5/11,-19/42) Parabolic Matrix(659,298,-3682,-1665) (-19/42,-14/31) -> (-12/67,-5/28) Hyperbolic Matrix(1573,710,658,297) (-14/31,-9/20) -> (43/18,12/5) Hyperbolic Matrix(459,206,586,263) (-9/20,-4/9) -> (18/23,11/14) Hyperbolic Matrix(581,256,320,141) (-4/9,-11/25) -> (9/5,20/11) Hyperbolic Matrix(901,396,3852,1693) (-11/25,-29/66) -> (7/30,11/47) Hyperbolic Matrix(2373,1042,1478,649) (-29/66,-18/41) -> (8/5,45/28) Hyperbolic Matrix(319,140,-2372,-1041) (-18/41,-25/57) -> (-5/37,-2/15) Hyperbolic Matrix(3719,1630,2690,1179) (-25/57,-7/16) -> (47/34,65/47) Hyperbolic Matrix(2297,1002,1662,725) (-7/16,-17/39) -> (29/21,47/34) Hyperbolic Matrix(381,166,2426,1057) (-17/39,-27/62) -> (5/32,3/19) 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(61,26,190,81) (-3/7,-11/26) -> (5/16,1/3) Hyperbolic Matrix(1311,554,310,131) (-11/26,-19/45) -> (21/5,17/4) Hyperbolic Matrix(3241,1368,4608,1945) (-19/45,-27/64) -> (45/64,19/27) Hyperbolic Matrix(4609,1944,1368,577) (-27/64,-8/19) -> (64/19,27/8) Hyperbolic Matrix(805,338,-1922,-807) (-8/19,-13/31) -> (-13/31,-18/43) Parabolic Matrix(1797,752,184,77) (-18/43,-41/98) -> (19/2,10/1) Hyperbolic Matrix(1731,724,-9652,-4037) (-41/98,-23/55) -> (-7/39,-19/106) Hyperbolic Matrix(1667,696,1176,491) (-23/55,-5/12) -> (17/12,61/43) Hyperbolic Matrix(1171,486,306,127) (-5/12,-17/41) -> (19/5,23/6) Hyperbolic Matrix(739,306,1350,559) (-17/41,-12/29) -> (6/11,17/31) Hyperbolic Matrix(1717,710,370,153) (-12/29,-19/46) -> (37/8,14/3) Hyperbolic Matrix(2083,860,1228,507) (-19/46,-7/17) -> (39/23,17/10) 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(587,228,708,275) (-7/18,-19/49) -> (19/23,5/6) Hyperbolic Matrix(1647,638,586,227) (-19/49,-12/31) -> (14/5,31/11) Hyperbolic Matrix(1587,614,1114,431) (-12/31,-17/44) -> (37/26,10/7) Hyperbolic Matrix(2227,860,940,363) (-17/44,-5/13) -> (45/19,19/8) Hyperbolic Matrix(407,156,60,23) (-5/13,-13/34) -> (13/2,7/1) Hyperbolic Matrix(581,222,1866,713) (-13/34,-21/55) -> (9/29,5/16) Hyperbolic Matrix(1745,666,2214,845) (-21/55,-8/21) -> (26/33,15/19) Hyperbolic Matrix(637,242,-1682,-639) (-8/21,-11/29) -> (-11/29,-14/37) Parabolic Matrix(751,284,-2372,-897) (-14/37,-17/45) -> (-13/41,-6/19) Hyperbolic Matrix(2659,1004,580,219) (-17/45,-3/8) -> (55/12,23/5) Hyperbolic Matrix(287,106,398,147) (-3/8,-7/19) -> (5/7,13/18) 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(951,338,166,59) (-5/14,-11/31) -> (17/3,23/4) Hyperbolic Matrix(447,158,778,275) (-11/31,-6/17) -> (4/7,19/33) Hyperbolic Matrix(2997,1054,890,313) (-6/17,-13/37) -> (37/11,64/19) Hyperbolic Matrix(1219,428,1444,507) (-13/37,-7/20) -> (27/32,11/13) Hyperbolic Matrix(555,194,-1994,-697) (-7/20,-8/23) -> (-22/79,-5/18) Hyperbolic Matrix(277,96,-2040,-707) (-8/23,-9/26) -> (-3/22,-8/59) Hyperbolic Matrix(53,18,-162,-55) (-9/26,-1/3) -> (-1/3,-9/28) Parabolic Matrix(1009,324,900,289) (-9/28,-8/25) -> (28/25,9/8) Hyperbolic Matrix(739,236,-4124,-1317) (-8/25,-7/22) -> (-19/106,-12/67) Hyperbolic Matrix(1739,552,1320,419) (-7/22,-13/41) -> (25/19,29/22) 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(731,228,420,131) (-5/16,-9/29) -> (33/19,7/4) Hyperbolic Matrix(155,48,888,275) (-9/29,-4/13) -> (4/23,3/17) Hyperbolic Matrix(675,206,154,47) (-4/13,-7/23) -> (13/3,22/5) Hyperbolic Matrix(257,78,570,173) (-7/23,-3/10) -> (9/20,5/11) Hyperbolic Matrix(359,106,254,75) (-3/10,-5/17) -> (7/5,17/12) Hyperbolic Matrix(355,104,256,75) (-5/17,-2/7) -> (18/13,7/5) Hyperbolic Matrix(349,98,-1250,-351) (-2/7,-7/25) -> (-7/25,-12/43) Parabolic Matrix(947,264,4344,1211) (-12/43,-17/61) -> (5/23,12/55) Hyperbolic Matrix(9629,2682,2646,737) (-17/61,-22/79) -> (40/11,91/25) Hyperbolic Matrix(1893,524,1492,413) (-5/18,-13/47) -> (19/15,33/26) Hyperbolic Matrix(1593,440,496,137) (-13/47,-8/29) -> (16/5,29/9) Hyperbolic Matrix(51,14,346,95) (-8/29,-3/11) -> (1/7,2/13) Hyperbolic Matrix(493,134,298,81) (-3/11,-10/37) -> (28/17,5/3) 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(591,158,490,131) (-11/41,-4/15) -> (6/5,23/19) Hyperbolic Matrix(1129,300,636,169) (-4/15,-9/34) -> (39/22,16/9) Hyperbolic Matrix(145,38,538,141) (-5/19,-1/4) -> (7/26,3/11) Hyperbolic Matrix(329,78,426,101) (-1/4,-4/17) -> (10/13,17/22) 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(281,64,1304,297) (-8/35,-5/22) -> (3/14,8/37) Hyperbolic Matrix(1583,358,650,147) (-5/22,-7/31) -> (17/7,39/16) Hyperbolic Matrix(1579,356,652,147) (-7/31,-2/9) -> (46/19,17/7) Hyperbolic Matrix(229,50,-1058,-231) (-2/9,-5/23) -> (-5/23,-8/37) Parabolic Matrix(2203,476,3124,675) (-8/37,-11/51) -> (43/61,12/17) Hyperbolic Matrix(733,158,-5414,-1167) (-11/51,-14/65) -> (-8/59,-5/37) Hyperbolic Matrix(5365,1154,3166,681) (-14/65,-3/14) -> (61/36,100/59) Hyperbolic Matrix(1831,390,1554,331) (-3/14,-10/47) -> (20/17,33/28) Hyperbolic Matrix(4893,1040,2056,437) (-10/47,-7/33) -> (69/29,50/21) 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(133,26,46,9) (-1/5,-3/16) -> (17/6,3/1) Hyperbolic Matrix(1417,264,1680,313) (-3/16,-8/43) -> (16/19,27/32) Hyperbolic Matrix(1681,312,264,49) (-8/43,-5/27) -> (19/3,32/5) Hyperbolic Matrix(1149,212,1588,293) (-5/27,-2/11) -> (34/47,21/29) Hyperbolic Matrix(1843,332,2548,459) (-2/11,-7/39) -> (47/65,34/47) Hyperbolic Matrix(1009,180,1620,289) (-5/28,-8/45) -> (28/45,5/8) Hyperbolic Matrix(2625,466,614,109) (-8/45,-3/17) -> (47/11,30/7) Hyperbolic Matrix(217,38,394,69) (-3/17,-1/6) -> (11/20,5/9) Hyperbolic Matrix(383,60,300,47) (-1/6,-2/13) -> (14/11,23/18) Hyperbolic Matrix(425,64,1016,153) (-2/13,-3/20) -> (5/12,18/43) Hyperbolic Matrix(41,6,-294,-43) (-3/20,-1/7) -> (-1/7,-3/22) Parabolic Matrix(371,48,456,59) (-2/15,-1/8) -> (13/16,22/27) Hyperbolic Matrix(123,14,202,23) (-1/8,0/1) -> (14/23,11/18) Hyperbolic Matrix(159,-22,94,-13) (0/1,1/7) -> (5/3,22/13) Hyperbolic Matrix(1777,-276,3084,-479) (2/13,5/32) -> (53/92,34/59) Hyperbolic Matrix(589,-94,94,-15) (3/19,1/6) -> (25/4,19/3) Hyperbolic Matrix(1351,-234,306,-53) (1/6,4/23) -> (22/5,53/12) Hyperbolic Matrix(213,-38,398,-71) (3/17,2/11) -> (8/15,7/13) Hyperbolic Matrix(31,-6,150,-29) (2/11,1/5) -> (1/5,4/19) Parabolic Matrix(1069,-226,298,-63) (4/19,3/14) -> (43/12,18/5) Hyperbolic Matrix(3759,-814,1390,-301) (8/37,5/23) -> (73/27,46/17) Hyperbolic Matrix(1833,-400,472,-103) (12/55,7/32) -> (31/8,4/1) Hyperbolic Matrix(1861,-408,2568,-563) (7/32,2/9) -> (50/69,29/40) Hyperbolic Matrix(675,-152,1088,-245) (2/9,5/22) -> (31/50,18/29) Hyperbolic Matrix(1549,-360,1080,-251) (3/13,7/30) -> (43/30,33/23) Hyperbolic Matrix(903,-212,788,-185) (11/47,4/17) -> (8/7,31/27) Hyperbolic Matrix(609,-146,146,-35) (5/21,1/4) -> (25/6,21/5) Hyperbolic Matrix(483,-128,200,-53) (1/4,4/15) -> (12/5,29/12) Hyperbolic Matrix(681,-182,1478,-395) (4/15,15/56) -> (23/50,6/13) Hyperbolic Matrix(3237,-868,5620,-1507) (15/56,11/41) -> (19/33,53/92) Hyperbolic Matrix(2157,-580,1588,-427) (11/41,7/26) -> (19/14,53/39) Hyperbolic Matrix(1243,-340,340,-93) (3/11,14/51) -> (62/17,11/3) Hyperbolic Matrix(1639,-450,1242,-341) (14/51,11/40) -> (29/22,4/3) Hyperbolic Matrix(2399,-660,876,-241) (11/40,8/29) -> (52/19,11/4) Hyperbolic Matrix(2933,-810,1242,-343) (8/29,13/47) -> (59/25,26/11) Hyperbolic Matrix(2397,-664,1888,-523) (13/47,5/18) -> (33/26,47/37) Hyperbolic Matrix(761,-212,140,-39) (5/18,7/25) -> (27/5,11/2) Hyperbolic Matrix(533,-150,366,-103) (7/25,2/7) -> (16/11,19/13) Hyperbolic Matrix(363,-106,250,-73) (2/7,5/17) -> (13/9,16/11) Hyperbolic 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(523,-160,304,-93) (3/10,4/13) -> (12/7,31/18) Hyperbolic Matrix(1595,-494,494,-153) (4/13,9/29) -> (29/9,42/13) 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(263,-98,314,-117) (10/27,3/8) -> (5/6,16/19) Hyperbolic Matrix(131,-50,338,-129) (3/8,5/13) -> (5/13,7/18) Parabolic Matrix(2073,-808,880,-343) (7/18,16/41) -> (40/17,33/14) Hyperbolic Matrix(2589,-1012,724,-283) (16/41,9/23) -> (25/7,68/19) Hyperbolic Matrix(207,-82,154,-61) (9/23,2/5) -> (4/3,23/17) Hyperbolic Matrix(307,-124,52,-21) (2/5,11/27) -> (29/5,6/1) Hyperbolic Matrix(1943,-794,1226,-501) (11/27,9/22) -> (19/12,65/41) Hyperbolic Matrix(561,-230,1022,-419) (9/22,7/17) -> (17/31,11/20) Hyperbolic Matrix(483,-200,128,-53) (7/17,5/12) -> (15/4,19/5) Hyperbolic Matrix(3653,-1530,2538,-1063) (18/43,13/31) -> (59/41,36/25) Hyperbolic Matrix(1901,-798,1446,-607) (13/31,21/50) -> (21/16,25/19) Hyperbolic Matrix(2155,-906,3066,-1289) (21/50,8/19) -> (26/37,45/64) Hyperbolic Matrix(1165,-492,708,-299) (8/19,11/26) -> (23/14,28/17) Hyperbolic Matrix(2933,-1242,810,-343) (11/26,14/33) -> (76/21,29/8) Hyperbolic Matrix(1541,-654,582,-247) (14/33,3/7) -> (45/17,8/3) Hyperbolic Matrix(175,-76,76,-33) (3/7,4/9) -> (16/7,7/3) Hyperbolic Matrix(497,-222,150,-67) (4/9,9/20) -> (33/10,10/3) Hyperbolic Matrix(1975,-904,544,-249) (5/11,11/24) -> (29/8,69/19) Hyperbolic Matrix(1259,-578,2738,-1257) (11/24,17/37) -> (17/37,23/50) Parabolic Matrix(393,-182,542,-251) (6/13,1/2) -> (29/40,8/11) Hyperbolic Matrix(565,-298,802,-423) (1/2,8/15) -> (50/71,31/44) Hyperbolic Matrix(2055,-1112,608,-329) (7/13,13/24) -> (27/8,71/21) Hyperbolic Matrix(2777,-1506,1938,-1051) (13/24,19/35) -> (53/37,43/30) 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(3813,-2198,1622,-935) (34/59,15/26) -> (47/20,40/17) Hyperbolic Matrix(707,-408,480,-277) (15/26,26/45) -> (22/15,3/2) Hyperbolic Matrix(2099,-1214,638,-369) (26/45,11/19) -> (23/7,56/17) 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(159,-94,22,-13) (10/17,3/5) -> (7/1,8/1) Hyperbolic Matrix(1165,-708,492,-299) (3/5,14/23) -> (26/11,45/19) Hyperbolic Matrix(2077,-1272,1272,-779) (11/18,19/31) -> (31/19,49/30) Hyperbolic Matrix(1585,-972,468,-287) (19/31,8/13) -> (44/13,17/5) Hyperbolic Matrix(1669,-1032,600,-371) (21/34,13/21) -> (25/9,39/14) Hyperbolic Matrix(1933,-1198,334,-207) (13/21,31/50) -> (23/4,29/5) Hyperbolic Matrix(4175,-2594,1154,-717) (18/29,23/37) -> (47/13,76/21) Hyperbolic Matrix(6259,-3892,1732,-1077) (23/37,28/45) -> (112/31,47/13) Hyperbolic Matrix(155,-98,242,-153) (5/8,7/11) -> (7/11,9/14) Parabolic Matrix(329,-212,284,-183) (9/14,11/17) -> (15/13,7/6) Hyperbolic Matrix(1571,-1020,1092,-709) (11/17,13/20) -> (23/16,59/41) Hyperbolic Matrix(587,-384,240,-157) (13/20,2/3) -> (22/9,49/20) Hyperbolic Matrix(363,-250,106,-73) (2/3,9/13) -> (17/5,24/7) Hyperbolic Matrix(1105,-766,766,-531) (9/13,25/36) -> (49/34,13/9) Hyperbolic Matrix(3653,-2538,1530,-1063) (25/36,16/23) -> (74/31,43/18) Hyperbolic Matrix(933,-650,722,-503) (16/23,7/10) -> (31/24,22/17) Hyperbolic Matrix(4119,-2900,740,-521) (19/27,50/71) -> (50/9,39/7) Hyperbolic Matrix(3337,-2352,2280,-1607) (31/44,43/61) -> (19/13,41/28) Hyperbolic Matrix(4639,-3354,3426,-2477) (13/18,47/65) -> (23/17,65/48) Hyperbolic Matrix(4279,-3100,940,-681) (21/29,50/69) -> (50/11,41/9) Hyperbolic Matrix(499,-364,292,-213) (8/11,11/15) -> (29/17,12/7) Hyperbolic Matrix(1245,-914,914,-671) (11/15,25/34) -> (49/36,15/11) Hyperbolic Matrix(2157,-1588,580,-427) (25/34,14/19) -> (26/7,67/18) Hyperbolic Matrix(599,-444,228,-169) (14/19,3/4) -> (21/8,50/19) Hyperbolic Matrix(1901,-1446,798,-607) (3/4,16/21) -> (50/21,81/34) Hyperbolic Matrix(1163,-888,960,-733) (16/21,13/17) -> (23/19,40/33) Hyperbolic Matrix(933,-722,650,-503) (17/22,7/9) -> (33/23,23/16) Hyperbolic Matrix(1213,-948,444,-347) (7/9,18/23) -> (30/11,41/15) Hyperbolic Matrix(2397,-1888,664,-523) (11/14,26/33) -> (18/5,65/18) Hyperbolic Matrix(161,-128,200,-159) (15/19,4/5) -> (4/5,17/21) Parabolic Matrix(915,-742,238,-193) (17/21,13/16) -> (23/6,27/7) Hyperbolic Matrix(1805,-1472,1328,-1083) (22/27,9/11) -> (53/39,34/25) Hyperbolic Matrix(771,-632,416,-341) (9/11,23/28) -> (37/20,13/7) Hyperbolic Matrix(1107,-910,118,-97) (23/28,37/45) -> (9/1,19/2) Hyperbolic Matrix(3555,-2924,2924,-2405) (37/45,14/17) -> (62/51,45/37) Hyperbolic Matrix(1163,-960,888,-733) (14/17,19/23) -> (17/13,38/29) Hyperbolic Matrix(389,-332,116,-99) (11/13,6/7) -> (10/3,37/11) Hyperbolic Matrix(309,-266,194,-167) (6/7,7/8) -> (35/22,8/5) Hyperbolic Matrix(515,-456,96,-85) (7/8,8/9) -> (16/3,43/8) Hyperbolic Matrix(19,-18,18,-17) (8/9,1/1) -> (1/1,10/9) Parabolic Matrix(647,-722,578,-645) (10/9,19/17) -> (19/17,28/25) Parabolic Matrix(845,-956,236,-267) (9/8,8/7) -> (68/19,43/12) Hyperbolic Matrix(3937,-4522,922,-1059) (31/27,23/20) -> (111/26,47/11) Hyperbolic Matrix(1539,-1774,334,-385) (23/20,15/13) -> (23/5,83/18) Hyperbolic Matrix(263,-314,98,-117) (13/11,6/5) -> (8/3,35/13) Hyperbolic Matrix(2733,-3314,2018,-2447) (40/33,17/14) -> (65/48,42/31) Hyperbolic Matrix(11181,-13586,4226,-5135) (17/14,79/65) -> (209/79,127/48) Hyperbolic Matrix(15989,-19436,6044,-7347) (79/65,62/51) -> (82/31,209/79) Hyperbolic Matrix(4597,-5592,2712,-3299) (45/37,28/23) -> (100/59,39/23) Hyperbolic Matrix(2029,-2472,600,-731) (28/23,11/9) -> (71/21,44/13) Hyperbolic Matrix(1505,-1844,404,-495) (11/9,27/22) -> (67/18,41/11) Hyperbolic Matrix(161,-200,128,-159) (16/13,5/4) -> (5/4,24/19) Parabolic Matrix(2115,-2674,874,-1105) (24/19,19/15) -> (75/31,46/19) Hyperbolic Matrix(491,-624,48,-61) (47/37,14/11) -> (10/1,11/1) Hyperbolic Matrix(2005,-2568,552,-707) (32/25,9/7) -> (69/19,40/11) Hyperbolic Matrix(613,-790,142,-183) (9/7,31/24) -> (43/10,13/3) Hyperbolic Matrix(531,-692,188,-245) (13/10,17/13) -> (31/11,17/6) Hyperbolic Matrix(4019,-5270,1526,-2001) (38/29,21/16) -> (79/30,108/41) Hyperbolic Matrix(2583,-3502,1054,-1429) (42/31,19/14) -> (49/20,76/31) Hyperbolic Matrix(4575,-6224,824,-1121) (34/25,83/61) -> (61/11,50/9) Hyperbolic Matrix(2867,-3902,518,-705) (83/61,49/36) -> (11/2,61/11) Hyperbolic Matrix(867,-1184,320,-437) (15/11,26/19) -> (46/17,19/7) Hyperbolic Matrix(393,-542,182,-251) (11/8,29/21) -> (15/7,13/6) Hyperbolic Matrix(5453,-7542,2070,-2863) (65/47,18/13) -> (108/41,29/11) Hyperbolic Matrix(4301,-6102,1206,-1711) (61/43,44/31) -> (82/23,25/7) Hyperbolic Matrix(1741,-2472,312,-443) (44/31,27/19) -> (39/7,28/5) Hyperbolic Matrix(2155,-3066,906,-1289) (27/19,37/26) -> (19/8,69/29) Hyperbolic Matrix(4425,-6374,974,-1403) (36/25,85/59) -> (59/13,50/11) Hyperbolic Matrix(2537,-3656,560,-807) (85/59,49/34) -> (9/2,59/13) Hyperbolic Matrix(2089,-3060,540,-791) (41/28,22/15) -> (58/15,31/8) Hyperbolic Matrix(155,-242,98,-153) (3/2,11/7) -> (11/7,19/12) Parabolic Matrix(5791,-9184,2200,-3489) (65/41,46/29) -> (50/19,129/49) Hyperbolic Matrix(2157,-3424,904,-1435) (46/29,27/17) -> (31/13,74/31) Hyperbolic Matrix(4547,-7226,1682,-2673) (27/17,62/39) -> (100/37,73/27) Hyperbolic Matrix(2071,-3294,486,-773) (62/39,35/22) -> (17/4,64/15) Hyperbolic Matrix(331,-532,28,-45) (45/28,37/23) -> (11/1,1/0) Hyperbolic Matrix(1821,-2932,772,-1243) (37/23,29/18) -> (33/14,59/25) Hyperbolic Matrix(675,-1088,152,-245) (29/18,21/13) -> (31/7,9/2) Hyperbolic Matrix(343,-556,124,-201) (21/13,13/8) -> (11/4,25/9) Hyperbolic Matrix(1191,-1940,644,-1049) (13/8,44/27) -> (24/13,37/20) Hyperbolic Matrix(1955,-3194,314,-513) (49/30,67/41) -> (31/5,25/4) Hyperbolic Matrix(587,-960,96,-157) (67/41,18/11) -> (6/1,31/5) Hyperbolic Matrix(4877,-8262,1350,-2287) (22/13,61/36) -> (65/18,112/31) Hyperbolic Matrix(1599,-2722,346,-589) (17/10,46/27) -> (60/13,37/8) Hyperbolic Matrix(621,-1070,278,-479) (31/18,19/11) -> (29/13,9/4) Hyperbolic Matrix(1293,-2236,580,-1003) (19/11,45/26) -> (49/22,29/13) Hyperbolic Matrix(1687,-2922,474,-821) (45/26,26/15) -> (32/9,57/16) Hyperbolic Matrix(3343,-5800,1264,-2193) (26/15,59/34) -> (37/14,82/31) Hyperbolic Matrix(1777,-3084,276,-479) (59/34,33/19) -> (45/7,13/2) Hyperbolic Matrix(599,-1058,338,-597) (7/4,23/13) -> (23/13,39/22) Parabolic Matrix(561,-1022,230,-419) (20/11,11/6) -> (39/16,22/9) Hyperbolic Matrix(1255,-2308,292,-537) (11/6,35/19) -> (73/17,43/10) Hyperbolic Matrix(1519,-2802,354,-653) (35/19,24/13) -> (30/7,73/17) Hyperbolic Matrix(213,-398,38,-71) (13/7,2/1) -> (28/5,17/3) Hyperbolic Matrix(265,-562,58,-123) (2/1,15/7) -> (41/9,32/7) Hyperbolic Matrix(681,-1478,182,-395) (13/6,37/17) -> (71/19,15/4) 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(2443,-5440,904,-2013) (20/9,49/22) -> (27/10,100/37) Hyperbolic Matrix(551,-1250,242,-549) (9/4,25/11) -> (25/11,41/18) Parabolic Matrix(1281,-3004,484,-1135) (7/3,47/20) -> (127/48,45/17) Hyperbolic Matrix(3757,-8952,1032,-2459) (81/34,31/13) -> (91/25,51/14) Hyperbolic Matrix(2749,-6648,600,-1451) (29/12,75/31) -> (87/19,55/12) Hyperbolic Matrix(6287,-15420,2388,-5857) (76/31,27/11) -> (129/49,208/79) Hyperbolic Matrix(645,-1586,146,-359) (27/11,5/2) -> (53/12,31/7) Hyperbolic Matrix(131,-338,50,-129) (5/2,13/5) -> (13/5,21/8) Parabolic Matrix(48129,-126722,10514,-27683) (208/79,287/109) -> (325/71,206/45) Hyperbolic Matrix(22721,-59828,4964,-13071) (287/109,79/30) -> (119/26,325/71) Hyperbolic Matrix(851,-2246,158,-417) (29/11,37/14) -> (43/8,27/5) Hyperbolic Matrix(1247,-3396,300,-817) (49/18,79/29) -> (29/7,25/6) Hyperbolic Matrix(435,-1186,106,-289) (79/29,30/11) -> (4/1,29/7) Hyperbolic Matrix(1017,-2834,314,-875) (39/14,53/19) -> (55/17,13/4) Hyperbolic Matrix(1073,-2996,332,-927) (53/19,14/5) -> (42/13,55/17) Hyperbolic Matrix(2011,-6628,436,-1437) (56/17,33/10) -> (83/18,60/13) Hyperbolic Matrix(113,-392,32,-111) (24/7,7/2) -> (7/2,32/9) Parabolic Matrix(3249,-11582,710,-2531) (57/16,82/23) -> (32/7,119/26) Hyperbolic Matrix(5891,-21468,1380,-5029) (51/14,113/31) -> (175/41,111/26) Hyperbolic Matrix(4959,-18082,1162,-4237) (113/31,62/17) -> (64/15,175/41) Hyperbolic Matrix(1027,-3832,160,-597) (41/11,56/15) -> (32/5,45/7) Hyperbolic Matrix(2747,-10608,600,-2317) (27/7,58/15) -> (206/45,87/19) Hyperbolic Matrix(31,-150,6,-29) (14/3,5/1) -> (5/1,16/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(335,156,204,95) -> Matrix(5,-2,-2,1) Matrix(735,338,598,275) -> Matrix(1,0,-2,1) Matrix(329,150,-726,-331) -> Matrix(1,0,0,1) Matrix(659,298,-3682,-1665) -> Matrix(5,-2,8,-3) Matrix(1573,710,658,297) -> Matrix(3,-2,-4,3) Matrix(459,206,586,263) -> Matrix(7,-4,2,-1) Matrix(581,256,320,141) -> Matrix(1,0,-4,1) Matrix(901,396,3852,1693) -> Matrix(1,0,-4,1) Matrix(2373,1042,1478,649) -> Matrix(5,-2,-2,1) Matrix(319,140,-2372,-1041) -> Matrix(5,-2,8,-3) Matrix(3719,1630,2690,1179) -> Matrix(1,0,-2,1) Matrix(2297,1002,1662,725) -> Matrix(1,0,-4,1) Matrix(381,166,2426,1057) -> Matrix(1,0,-2,1) Matrix(4465,1944,1656,721) -> Matrix(1,0,-4,1) Matrix(65,28,188,81) -> Matrix(1,0,-2,1) Matrix(61,26,190,81) -> Matrix(1,0,-2,1) Matrix(1311,554,310,131) -> Matrix(1,0,-2,1) Matrix(3241,1368,4608,1945) -> Matrix(15,-4,4,-1) Matrix(4609,1944,1368,577) -> Matrix(1,0,-4,1) Matrix(805,338,-1922,-807) -> Matrix(7,-2,18,-5) Matrix(1797,752,184,77) -> Matrix(5,-2,-2,1) Matrix(1731,724,-9652,-4037) -> Matrix(1,0,0,1) Matrix(1667,696,1176,491) -> Matrix(9,-4,-2,1) Matrix(1171,486,306,127) -> Matrix(1,0,-2,1) Matrix(739,306,1350,559) -> Matrix(1,0,-4,1) Matrix(1717,710,370,153) -> Matrix(7,-2,4,-1) Matrix(2083,860,1228,507) -> Matrix(5,-2,-2,1) Matrix(185,76,-796,-327) -> Matrix(7,-2,4,-1) Matrix(549,224,424,173) -> Matrix(9,-4,-2,1) Matrix(653,256,176,69) -> Matrix(1,0,-4,1) Matrix(297,116,-1124,-439) -> Matrix(7,-2,4,-1) Matrix(587,228,708,275) -> Matrix(5,-2,8,-3) Matrix(1647,638,586,227) -> Matrix(5,-2,-2,1) Matrix(1587,614,1114,431) -> Matrix(9,-4,-2,1) Matrix(2227,860,940,363) -> Matrix(5,-2,-2,1) Matrix(407,156,60,23) -> Matrix(5,-2,-2,1) Matrix(581,222,1866,713) -> Matrix(5,-2,8,-3) Matrix(1745,666,2214,845) -> Matrix(7,-4,2,-1) Matrix(637,242,-1682,-639) -> Matrix(7,-2,18,-5) Matrix(751,284,-2372,-897) -> Matrix(27,-10,46,-17) Matrix(2659,1004,580,219) -> Matrix(5,-2,8,-3) Matrix(287,106,398,147) -> Matrix(5,-2,-2,1) Matrix(283,104,400,147) -> Matrix(3,-2,2,-1) Matrix(621,224,280,101) -> Matrix(9,-4,-2,1) Matrix(167,60,732,263) -> Matrix(9,-4,-2,1) Matrix(951,338,166,59) -> Matrix(1,0,-2,1) Matrix(447,158,778,275) -> Matrix(7,-2,4,-1) Matrix(2997,1054,890,313) -> Matrix(5,-2,-2,1) Matrix(1219,428,1444,507) -> Matrix(19,-8,12,-5) Matrix(555,194,-1994,-697) -> Matrix(9,-4,16,-7) Matrix(277,96,-2040,-707) -> Matrix(21,-10,40,-19) Matrix(53,18,-162,-55) -> Matrix(5,-2,8,-3) Matrix(1009,324,900,289) -> Matrix(53,-26,-2,1) Matrix(739,236,-4124,-1317) -> Matrix(15,-8,32,-17) Matrix(1739,552,1320,419) -> Matrix(31,-18,-12,7) Matrix(2835,892,1052,331) -> Matrix(3,-2,2,-1) Matrix(1363,428,1156,363) -> Matrix(11,-8,-4,3) Matrix(731,228,420,131) -> Matrix(1,-2,0,1) Matrix(155,48,888,275) -> Matrix(1,0,-2,1) Matrix(675,206,154,47) -> Matrix(7,-4,2,-1) Matrix(257,78,570,173) -> Matrix(7,-4,2,-1) Matrix(359,106,254,75) -> Matrix(5,-2,-2,1) Matrix(355,104,256,75) -> Matrix(3,-2,2,-1) Matrix(349,98,-1250,-351) -> Matrix(3,-2,2,-1) Matrix(947,264,4344,1211) -> Matrix(1,0,-2,1) Matrix(9629,2682,2646,737) -> Matrix(1,0,-4,1) Matrix(1893,524,1492,413) -> Matrix(9,-4,-2,1) Matrix(1593,440,496,137) -> Matrix(3,-2,-4,3) Matrix(51,14,346,95) -> Matrix(3,-2,2,-1) Matrix(493,134,298,81) -> Matrix(1,0,-2,1) Matrix(935,252,1332,359) -> Matrix(7,-4,2,-1) Matrix(1281,344,1672,449) -> Matrix(7,-4,2,-1) Matrix(591,158,490,131) -> Matrix(3,-2,-4,3) Matrix(1129,300,636,169) -> Matrix(11,-10,-12,11) Matrix(145,38,538,141) -> Matrix(1,0,0,1) Matrix(329,78,426,101) -> Matrix(7,-4,2,-1) Matrix(1177,276,516,121) -> Matrix(9,-8,-10,9) Matrix(419,96,48,11) -> Matrix(1,0,-2,1) Matrix(281,64,1304,297) -> Matrix(1,-2,0,1) Matrix(1583,358,650,147) -> Matrix(1,0,2,1) Matrix(1579,356,652,147) -> Matrix(1,0,-6,1) Matrix(229,50,-1058,-231) -> Matrix(3,-2,2,-1) Matrix(2203,476,3124,675) -> Matrix(1,2,0,1) Matrix(733,158,-5414,-1167) -> Matrix(1,-4,2,-7) Matrix(5365,1154,3166,681) -> Matrix(1,-2,0,1) Matrix(1831,390,1554,331) -> Matrix(5,-2,-2,1) Matrix(4893,1040,2056,437) -> Matrix(3,-2,-4,3) Matrix(227,48,960,203) -> Matrix(1,0,-2,1) Matrix(137,28,44,9) -> Matrix(1,0,-2,1) Matrix(133,26,46,9) -> Matrix(1,0,-2,1) Matrix(1417,264,1680,313) -> Matrix(3,-2,2,-1) Matrix(1681,312,264,49) -> Matrix(1,0,-2,1) Matrix(1149,212,1588,293) -> Matrix(1,0,0,1) Matrix(1843,332,2548,459) -> Matrix(1,0,-2,1) Matrix(1009,180,1620,289) -> Matrix(3,-2,2,-1) Matrix(2625,466,614,109) -> Matrix(1,0,0,1) Matrix(217,38,394,69) -> Matrix(1,0,0,1) Matrix(383,60,300,47) -> Matrix(9,-4,-2,1) Matrix(425,64,1016,153) -> Matrix(5,-2,8,-3) Matrix(41,6,-294,-43) -> Matrix(1,0,0,1) Matrix(371,48,456,59) -> Matrix(1,0,-2,1) Matrix(123,14,202,23) -> Matrix(3,-2,2,-1) Matrix(159,-22,94,-13) -> Matrix(1,-2,0,1) Matrix(1777,-276,3084,-479) -> Matrix(7,-2,4,-1) Matrix(589,-94,94,-15) -> Matrix(3,-2,-4,3) Matrix(1351,-234,306,-53) -> Matrix(1,-4,0,1) Matrix(213,-38,398,-71) -> Matrix(1,0,0,1) Matrix(31,-6,150,-29) -> Matrix(1,0,0,1) Matrix(1069,-226,298,-63) -> Matrix(1,-2,0,1) Matrix(3759,-814,1390,-301) -> Matrix(1,0,0,1) Matrix(1833,-400,472,-103) -> Matrix(1,0,0,1) Matrix(1861,-408,2568,-563) -> Matrix(1,0,2,1) Matrix(675,-152,1088,-245) -> Matrix(1,0,0,1) Matrix(1549,-360,1080,-251) -> Matrix(1,-2,0,1) Matrix(903,-212,788,-185) -> Matrix(1,-4,0,1) Matrix(609,-146,146,-35) -> Matrix(1,0,4,1) Matrix(483,-128,200,-53) -> Matrix(1,0,-4,1) Matrix(681,-182,1478,-395) -> Matrix(3,-2,2,-1) Matrix(3237,-868,5620,-1507) -> Matrix(7,-2,4,-1) Matrix(2157,-580,1588,-427) -> Matrix(1,0,-2,1) Matrix(1243,-340,340,-93) -> Matrix(1,0,0,1) Matrix(1639,-450,1242,-341) -> Matrix(9,-2,-4,1) Matrix(2399,-660,876,-241) -> Matrix(1,0,-2,1) Matrix(2933,-810,1242,-343) -> Matrix(1,0,-2,1) Matrix(2397,-664,1888,-523) -> Matrix(1,-6,0,1) Matrix(761,-212,140,-39) -> Matrix(1,-2,0,1) Matrix(533,-150,366,-103) -> Matrix(1,-2,0,1) Matrix(363,-106,250,-73) -> Matrix(5,-2,-2,1) Matrix(1585,-468,972,-287) -> Matrix(1,-2,0,1) Matrix(389,-116,332,-99) -> Matrix(5,-2,-2,1) Matrix(523,-160,304,-93) -> Matrix(1,-2,0,1) Matrix(1595,-494,494,-153) -> Matrix(1,0,-4,1) Matrix(531,-188,692,-245) -> Matrix(1,2,0,1) Matrix(343,-124,556,-201) -> Matrix(3,-2,2,-1) Matrix(1213,-444,948,-347) -> Matrix(1,-4,0,1) Matrix(1501,-552,552,-203) -> Matrix(1,0,-4,1) Matrix(1657,-612,972,-359) -> Matrix(1,0,-2,1) Matrix(263,-98,314,-117) -> Matrix(3,-2,2,-1) Matrix(131,-50,338,-129) -> Matrix(3,-2,2,-1) Matrix(2073,-808,880,-343) -> Matrix(1,-2,0,1) Matrix(2589,-1012,724,-283) -> Matrix(1,0,0,1) Matrix(207,-82,154,-61) -> Matrix(1,-2,0,1) Matrix(307,-124,52,-21) -> Matrix(1,-2,0,1) Matrix(1943,-794,1226,-501) -> Matrix(1,0,0,1) Matrix(561,-230,1022,-419) -> Matrix(1,0,2,1) Matrix(483,-200,128,-53) -> Matrix(1,0,-4,1) Matrix(3653,-1530,2538,-1063) -> Matrix(11,-8,-4,3) Matrix(1901,-798,1446,-607) -> Matrix(11,-8,-4,3) Matrix(2155,-906,3066,-1289) -> Matrix(13,-10,4,-3) Matrix(1165,-492,708,-299) -> Matrix(1,-2,0,1) Matrix(2933,-1242,810,-343) -> Matrix(1,0,-2,1) Matrix(1541,-654,582,-247) -> Matrix(1,0,-2,1) Matrix(175,-76,76,-33) -> Matrix(3,-2,-4,3) Matrix(497,-222,150,-67) -> Matrix(1,-2,0,1) Matrix(1975,-904,544,-249) -> Matrix(1,0,-2,1) Matrix(1259,-578,2738,-1257) -> Matrix(3,-2,2,-1) Matrix(393,-182,542,-251) -> Matrix(1,0,0,1) Matrix(565,-298,802,-423) -> Matrix(1,2,0,1) Matrix(2055,-1112,608,-329) -> Matrix(1,0,-2,1) Matrix(2777,-1506,1938,-1051) -> Matrix(5,-2,-2,1) Matrix(933,-508,652,-355) -> Matrix(1,-4,0,1) Matrix(207,-116,116,-65) -> Matrix(3,-2,-4,3) Matrix(3813,-2198,1622,-935) -> Matrix(1,-2,4,-7) Matrix(707,-408,480,-277) -> Matrix(1,-4,0,1) Matrix(2099,-1214,638,-369) -> Matrix(1,-2,0,1) Matrix(523,-304,160,-93) -> Matrix(1,-2,0,1) Matrix(499,-292,364,-213) -> Matrix(1,-2,0,1) Matrix(159,-94,22,-13) -> Matrix(1,-2,0,1) Matrix(1165,-708,492,-299) -> Matrix(1,-2,0,1) Matrix(2077,-1272,1272,-779) -> Matrix(5,-6,-4,5) Matrix(1585,-972,468,-287) -> Matrix(1,-2,0,1) Matrix(1669,-1032,600,-371) -> Matrix(1,-2,-2,5) Matrix(1933,-1198,334,-207) -> Matrix(1,-4,0,1) Matrix(4175,-2594,1154,-717) -> Matrix(1,0,-2,1) Matrix(6259,-3892,1732,-1077) -> Matrix(3,-4,-2,3) Matrix(155,-98,242,-153) -> Matrix(3,-2,2,-1) Matrix(329,-212,284,-183) -> Matrix(7,-10,-2,3) Matrix(1571,-1020,1092,-709) -> Matrix(1,-4,0,1) Matrix(587,-384,240,-157) -> Matrix(1,-2,2,-3) Matrix(363,-250,106,-73) -> Matrix(1,-2,-2,5) Matrix(1105,-766,766,-531) -> Matrix(1,-4,0,1) Matrix(3653,-2538,1530,-1063) -> Matrix(3,-8,-4,11) Matrix(933,-650,722,-503) -> Matrix(1,-6,0,1) Matrix(4119,-2900,740,-521) -> Matrix(1,-4,0,1) Matrix(3337,-2352,2280,-1607) -> Matrix(1,-6,0,1) Matrix(4639,-3354,3426,-2477) -> Matrix(1,-2,0,1) Matrix(4279,-3100,940,-681) -> Matrix(1,0,2,1) Matrix(499,-364,292,-213) -> Matrix(1,-2,0,1) Matrix(1245,-914,914,-671) -> Matrix(1,-2,0,1) Matrix(2157,-1588,580,-427) -> Matrix(1,0,-2,1) Matrix(599,-444,228,-169) -> Matrix(1,0,-2,1) Matrix(1901,-1446,798,-607) -> Matrix(3,-8,-4,11) Matrix(1163,-888,960,-733) -> Matrix(1,-2,-2,5) Matrix(933,-722,650,-503) -> Matrix(1,-6,0,1) Matrix(1213,-948,444,-347) -> Matrix(1,-4,0,1) Matrix(2397,-1888,664,-523) -> Matrix(1,-6,0,1) Matrix(161,-128,200,-159) -> Matrix(1,-8,0,1) Matrix(915,-742,238,-193) -> Matrix(1,2,0,1) Matrix(1805,-1472,1328,-1083) -> Matrix(1,0,0,1) Matrix(771,-632,416,-341) -> Matrix(1,0,0,1) Matrix(1107,-910,118,-97) -> Matrix(1,0,2,1) Matrix(3555,-2924,2924,-2405) -> Matrix(1,0,8,1) Matrix(1163,-960,888,-733) -> Matrix(5,-2,-2,1) Matrix(389,-332,116,-99) -> Matrix(1,-2,-2,5) Matrix(309,-266,194,-167) -> Matrix(1,-4,0,1) Matrix(515,-456,96,-85) -> Matrix(1,-10,0,1) Matrix(19,-18,18,-17) -> Matrix(1,-2,0,1) Matrix(647,-722,578,-645) -> Matrix(1,-52,0,1) Matrix(845,-956,236,-267) -> Matrix(1,8,0,1) Matrix(3937,-4522,922,-1059) -> Matrix(1,4,4,17) Matrix(1539,-1774,334,-385) -> Matrix(1,4,0,1) Matrix(263,-314,98,-117) -> Matrix(1,2,-2,-3) Matrix(2733,-3314,2018,-2447) -> Matrix(3,2,-2,-1) Matrix(11181,-13586,4226,-5135) -> Matrix(1,0,10,1) Matrix(15989,-19436,6044,-7347) -> Matrix(1,0,-18,1) Matrix(4597,-5592,2712,-3299) -> Matrix(5,-2,-2,1) Matrix(2029,-2472,600,-731) -> Matrix(1,0,-2,1) Matrix(1505,-1844,404,-495) -> Matrix(1,0,-2,1) Matrix(161,-200,128,-159) -> Matrix(1,-8,0,1) Matrix(2115,-2674,874,-1105) -> Matrix(1,6,-4,-23) Matrix(491,-624,48,-61) -> Matrix(1,4,0,1) Matrix(2005,-2568,552,-707) -> Matrix(1,4,-2,-7) Matrix(613,-790,142,-183) -> Matrix(1,4,0,1) Matrix(531,-692,188,-245) -> Matrix(1,2,0,1) Matrix(4019,-5270,1526,-2001) -> Matrix(1,4,-2,-7) Matrix(2583,-3502,1054,-1429) -> Matrix(1,2,0,1) Matrix(4575,-6224,824,-1121) -> Matrix(1,0,0,1) Matrix(2867,-3902,518,-705) -> Matrix(1,0,0,1) Matrix(867,-1184,320,-437) -> Matrix(1,2,-2,-3) Matrix(393,-542,182,-251) -> Matrix(1,0,0,1) Matrix(5453,-7542,2070,-2863) -> Matrix(1,2,-2,-3) Matrix(4301,-6102,1206,-1711) -> Matrix(1,4,0,1) Matrix(1741,-2472,312,-443) -> Matrix(1,2,0,1) Matrix(2155,-3066,906,-1289) -> Matrix(3,10,-4,-13) Matrix(4425,-6374,974,-1403) -> Matrix(1,2,8,17) Matrix(2537,-3656,560,-807) -> Matrix(1,2,-4,-7) Matrix(2089,-3060,540,-791) -> Matrix(1,2,0,1) Matrix(155,-242,98,-153) -> Matrix(1,2,-2,-3) Matrix(5791,-9184,2200,-3489) -> Matrix(1,2,-2,-3) Matrix(2157,-3424,904,-1435) -> Matrix(1,2,-2,-3) Matrix(4547,-7226,1682,-2673) -> Matrix(1,0,0,1) Matrix(2071,-3294,486,-773) -> Matrix(1,0,0,1) Matrix(331,-532,28,-45) -> Matrix(1,2,-2,-3) Matrix(1821,-2932,772,-1243) -> Matrix(1,0,0,1) Matrix(675,-1088,152,-245) -> Matrix(1,0,0,1) Matrix(343,-556,124,-201) -> Matrix(1,2,-2,-3) Matrix(1191,-1940,644,-1049) -> Matrix(1,2,-2,-3) Matrix(1955,-3194,314,-513) -> Matrix(9,10,-10,-11) Matrix(587,-960,96,-157) -> Matrix(3,2,-2,-1) Matrix(4877,-8262,1350,-2287) -> Matrix(1,0,0,1) Matrix(1599,-2722,346,-589) -> Matrix(1,0,2,1) Matrix(621,-1070,278,-479) -> Matrix(1,0,0,1) Matrix(1293,-2236,580,-1003) -> Matrix(1,0,0,1) Matrix(1687,-2922,474,-821) -> Matrix(1,2,0,1) Matrix(3343,-5800,1264,-2193) -> Matrix(1,2,-6,-11) Matrix(1777,-3084,276,-479) -> Matrix(1,2,-4,-7) Matrix(599,-1058,338,-597) -> Matrix(19,20,-20,-21) Matrix(561,-1022,230,-419) -> Matrix(1,0,2,1) Matrix(1255,-2308,292,-537) -> Matrix(1,2,0,1) Matrix(1519,-2802,354,-653) -> Matrix(1,0,2,1) Matrix(213,-398,38,-71) -> Matrix(1,0,0,1) Matrix(265,-562,58,-123) -> Matrix(1,0,2,1) Matrix(681,-1478,182,-395) -> Matrix(1,2,-2,-3) Matrix(1733,-3776,464,-1011) -> Matrix(1,0,0,1) Matrix(711,-1556,260,-569) -> Matrix(1,0,0,1) Matrix(2443,-5440,904,-2013) -> Matrix(1,2,-2,-3) Matrix(551,-1250,242,-549) -> Matrix(15,16,-16,-17) Matrix(1281,-3004,484,-1135) -> Matrix(1,0,2,1) Matrix(3757,-8952,1032,-2459) -> Matrix(3,2,-8,-5) Matrix(2749,-6648,600,-1451) -> Matrix(1,0,4,1) Matrix(6287,-15420,2388,-5857) -> Matrix(1,0,-2,1) Matrix(645,-1586,146,-359) -> Matrix(1,-2,0,1) Matrix(131,-338,50,-129) -> Matrix(1,2,-2,-3) Matrix(48129,-126722,10514,-27683) -> Matrix(1,2,0,1) Matrix(22721,-59828,4964,-13071) -> Matrix(3,2,4,3) Matrix(851,-2246,158,-417) -> Matrix(7,4,-2,-1) Matrix(1247,-3396,300,-817) -> Matrix(1,0,10,1) Matrix(435,-1186,106,-289) -> Matrix(1,0,-2,1) Matrix(1017,-2834,314,-875) -> Matrix(1,0,4,1) Matrix(1073,-2996,332,-927) -> Matrix(1,0,-4,1) Matrix(2011,-6628,436,-1437) -> Matrix(1,0,2,1) Matrix(113,-392,32,-111) -> Matrix(1,0,2,1) Matrix(3249,-11582,710,-2531) -> Matrix(1,0,0,1) Matrix(5891,-21468,1380,-5029) -> Matrix(1,0,12,1) Matrix(4959,-18082,1162,-4237) -> Matrix(1,0,-8,1) Matrix(1027,-3832,160,-597) -> Matrix(1,0,0,1) Matrix(2747,-10608,600,-2317) -> Matrix(1,2,0,1) Matrix(31,-150,6,-29) -> Matrix(1,0,0,1) 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): 58 Degree of the the map X: 58 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: 64 Genus: 41 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 1/5 2/7 1/3 5/13 1/2 7/11 5/7 4/5 1/1 19/17 13/11 79/65 11/9 5/4 83/61 7/5 85/59 11/7 37/23 67/41 5/3 17/10 19/11 23/13 35/19 2/1 37/17 11/5 25/11 7/3 31/13 17/7 13/5 287/109 19/7 79/29 11/4 25/9 53/19 3/1 23/7 37/11 17/5 7/2 25/7 47/13 113/31 11/3 19/5 4/1 17/4 13/3 9/2 23/5 14/3 5/1 27/5 11/2 17/3 6/1 7/1 8/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 0/1 0/1 1/1 1/7 0/1 1/1 1/0 1/6 1/1 2/1 3/17 0/1 1/1 1/0 2/11 1/1 1/0 1/5 1/2 1/0 4/19 1/1 1/0 3/14 -4/1 1/0 5/23 -1/1 0/1 1/0 7/32 -1/1 2/9 0/1 1/1 3/13 -1/1 0/1 1/0 7/30 -1/1 0/1 4/17 -1/1 1/4 0/1 1/1 4/15 1/2 2/3 3/11 1/0 14/51 0/1 1/5 11/40 1/1 8/29 0/1 1/1 13/47 1/1 5/18 1/1 1/0 7/25 -1/1 0/1 1/0 2/7 0/1 5/17 1/2 8/27 0/1 1/1 3/10 1/2 1/1 4/13 0/1 1/0 1/3 0/1 1/1 1/0 5/14 0/1 1/0 4/11 1/1 11/30 -1/1 0/1 7/19 1/2 10/27 0/1 1/1 3/8 0/1 1/1 5/13 1/1 7/18 1/1 2/1 16/41 3/1 9/23 0/1 1/1 1/0 2/5 0/1 1/1 11/27 1/0 9/22 -1/1 0/1 7/17 0/1 5/12 2/5 1/2 13/31 1/2 2/3 1/1 21/50 2/3 1/1 8/19 1/1 11/26 0/1 1/1 14/33 0/1 1/1 3/7 1/2 4/9 1/1 3/2 5/11 0/1 1/1 1/0 11/24 0/1 1/1 17/37 1/1 6/13 0/1 1/0 1/2 1/1 8/15 1/1 1/0 7/13 0/1 1/1 1/0 13/24 0/1 1/1 19/35 1/1 6/11 2/1 1/0 5/9 1/2 4/7 1/1 4/3 15/26 2/1 3/1 26/45 1/1 2/1 11/19 3/2 1/0 7/12 2/1 1/0 10/17 1/1 3/5 1/1 2/1 1/0 11/18 0/1 1/1 19/31 3/2 8/13 1/1 21/34 3/2 2/1 13/21 1/0 18/29 0/1 1/1 23/37 1/1 5/8 1/1 1/0 7/11 1/1 9/14 1/1 3/2 11/17 1/1 3/2 2/1 13/20 1/1 2/3 1/1 2/1 9/13 1/0 25/36 2/1 7/3 16/23 3/1 7/10 2/1 1/0 5/7 1/0 8/11 0/1 1/0 11/15 1/0 25/34 1/1 1/0 14/19 1/1 3/4 1/1 2/1 16/21 2/1 3/1 13/17 5/2 1/0 10/13 5/2 3/1 7/9 3/1 4/1 1/0 11/14 4/1 5/1 15/19 1/0 4/5 1/0 17/21 1/0 13/16 -2/1 -1/1 9/11 -1/1 0/1 1/0 23/28 -1/1 37/45 -1/4 14/17 0/1 1/3 5/6 1/1 2/1 16/19 1/1 2/1 11/13 2/1 6/7 3/1 1/0 7/8 5/1 8/9 14/1 1/0 1/1 1/0 10/9 12/1 1/0 19/17 1/0 9/8 -14/1 1/0 8/7 -5/1 23/20 -4/1 -11/3 15/13 -4/1 -3/1 1/0 7/6 -3/1 1/0 20/17 -3/1 -2/1 13/11 -2/1 6/5 -2/1 -1/1 17/14 -1/3 0/1 79/65 0/1 62/51 0/1 1/11 45/37 1/4 28/23 1/1 11/9 0/1 1/1 1/0 16/13 1/1 2/1 5/4 1/0 24/19 -7/1 -6/1 19/15 1/0 14/11 -5/1 -4/1 9/7 -4/1 -3/1 1/0 13/10 -3/1 -5/2 17/13 -5/2 1/0 21/16 -3/1 -2/1 25/19 -3/1 -5/2 -2/1 4/3 -2/1 -1/1 23/17 -2/1 -1/1 1/0 42/31 -2/1 -1/1 19/14 -1/1 34/25 -1/1 1/0 83/61 -2/1 0/1 49/36 -1/1 1/0 15/11 1/0 26/19 -1/1 11/8 0/1 1/0 7/5 1/0 10/7 -2/1 1/0 23/16 -3/1 36/25 -7/3 -2/1 85/59 -2/1 49/34 -2/1 -5/3 13/9 1/0 16/11 -2/1 19/13 -3/1 -2/1 1/0 22/15 -3/1 -2/1 3/2 -2/1 -1/1 11/7 -1/1 19/12 -1/1 0/1 65/41 1/0 46/29 -1/1 27/17 -1/1 0/1 1/0 62/39 -1/3 0/1 35/22 1/1 8/5 -1/1 1/0 37/23 -1/1 29/18 -1/1 0/1 21/13 1/0 13/8 -1/1 44/27 -2/1 -1/1 31/19 -3/2 49/30 -6/5 -1/1 67/41 -1/1 18/11 -1/1 0/1 5/3 -2/1 -1/1 1/0 22/13 -2/1 -1/1 17/10 -1/1 46/27 -1/1 0/1 29/17 1/0 12/7 -2/1 1/0 31/18 -3/2 -1/1 19/11 -3/2 1/0 45/26 -2/1 -1/1 26/15 -3/1 -2/1 7/4 -4/3 -1/1 23/13 -1/1 16/9 -1/1 -6/7 9/5 -1/2 11/6 -2/1 1/0 35/19 -1/1 24/13 -1/1 0/1 37/20 -1/1 13/7 -1/1 0/1 1/0 2/1 -1/1 13/6 0/1 1/0 37/17 -1/1 24/11 -1/1 0/1 11/5 -1/1 0/1 1/0 9/4 -3/2 -1/1 25/11 -1/1 16/7 -1/1 -5/6 7/3 -1/2 40/17 1/1 33/14 -1/1 0/1 59/25 -1/1 26/11 -1/1 0/1 19/8 -1/1 50/21 -1/1 -2/3 81/34 -5/7 -2/3 31/13 -1/1 -2/3 -1/2 12/5 -1/2 -2/5 29/12 -1/3 0/1 17/7 0/1 22/9 0/1 1/1 49/20 1/1 76/31 0/1 1/1 27/11 1/0 5/2 -1/1 0/1 13/5 -1/1 21/8 -1/1 -2/3 50/19 -1/1 129/49 -1/2 208/79 -1/1 0/1 287/109 -1/1 79/30 -1/1 -2/3 29/11 -1/1 -2/3 -1/2 37/14 -1/3 45/17 1/0 8/3 -1/1 0/1 35/13 0/1 27/10 -1/1 0/1 46/17 -1/1 19/7 -1/2 49/18 -1/5 0/1 79/29 0/1 30/11 0/1 1/1 11/4 -1/1 25/9 -1/2 39/14 -1/4 0/1 53/19 0/1 14/5 0/1 1/0 3/1 -1/1 0/1 1/0 13/4 0/1 1/0 23/7 -1/2 1/0 10/3 -1/1 -1/2 37/11 0/1 27/8 -1/1 0/1 71/21 -1/1 -1/2 0/1 44/13 -1/1 17/5 -1/2 24/7 -1/3 0/1 7/2 0/1 32/9 -1/1 0/1 57/16 0/1 1/1 25/7 0/1 1/1 1/0 68/19 3/1 43/12 -6/1 1/0 18/5 -1/1 1/0 47/13 -1/1 76/21 -1/1 0/1 29/8 -1/1 0/1 40/11 -1/1 51/14 -1/5 0/1 113/31 0/1 62/17 0/1 1/5 11/3 1/0 15/4 -2/3 -1/2 19/5 0/1 4/1 -1/1 0/1 17/4 1/1 30/7 0/1 1/1 13/3 0/1 1/1 1/0 9/2 -1/1 0/1 32/7 1/1 23/5 0/1 1/1 1/0 14/3 4/1 1/0 5/1 -1/2 1/0 16/3 4/1 1/0 43/8 -5/1 27/5 -3/1 -2/1 1/0 11/2 -1/1 1/0 28/5 -1/1 17/3 -1/1 0/1 1/0 6/1 -2/1 -1/1 7/1 -1/1 0/1 1/0 8/1 -1/1 1/0 -1/1 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(0,-1,1,2) (-1/1,1/0) -> (-1/1,0/1) Parabolic Matrix(159,-22,94,-13) (0/1,1/7) -> (5/3,22/13) Hyperbolic Matrix(156,-23,95,-14) (1/7,1/6) -> (18/11,5/3) Hyperbolic Matrix(338,-59,275,-48) (1/6,3/17) -> (11/9,16/13) Hyperbolic Matrix(213,-38,398,-71) (3/17,2/11) -> (8/15,7/13) Hyperbolic Matrix(31,-6,150,-29) (2/11,1/5) -> (1/5,4/19) Parabolic Matrix(1069,-226,298,-63) (4/19,3/14) -> (43/12,18/5) Hyperbolic Matrix(710,-153,297,-64) (3/14,5/23) -> (31/13,12/5) Hyperbolic Matrix(1922,-419,1211,-264) (5/23,7/32) -> (46/29,27/17) Hyperbolic Matrix(944,-207,1359,-298) (7/32,2/9) -> (25/36,16/23) Hyperbolic Matrix(206,-47,263,-60) (2/9,3/13) -> (7/9,11/14) Hyperbolic Matrix(642,-149,293,-68) (3/13,7/30) -> (24/11,11/5) Hyperbolic Matrix(466,-109,1693,-396) (7/30,4/17) -> (11/40,8/29) Hyperbolic Matrix(554,-131,203,-48) (4/17,1/4) -> (30/11,11/4) Hyperbolic Matrix(483,-128,200,-53) (1/4,4/15) -> (12/5,29/12) Hyperbolic Matrix(256,-69,141,-38) (4/15,3/11) -> (9/5,11/6) Hyperbolic Matrix(1243,-340,340,-93) (3/11,14/51) -> (62/17,11/3) Hyperbolic Matrix(1328,-365,1157,-318) (14/51,11/40) -> (8/7,23/20) Hyperbolic Matrix(2933,-810,1242,-343) (8/29,13/47) -> (59/25,26/11) Hyperbolic Matrix(1042,-289,649,-180) (13/47,5/18) -> (8/5,37/23) Hyperbolic Matrix(761,-212,140,-39) (5/18,7/25) -> (27/5,11/2) Hyperbolic Matrix(533,-150,366,-103) (7/25,2/7) -> (16/11,19/13) Hyperbolic Matrix(363,-106,250,-73) (2/7,5/17) -> (13/9,16/11) Hyperbolic 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(523,-160,304,-93) (3/10,4/13) -> (12/7,31/18) Hyperbolic Matrix(28,-9,81,-26) (4/13,1/3) -> (1/3,5/14) Parabolic Matrix(343,-124,556,-201) (5/14,4/11) -> (8/13,21/34) Hyperbolic Matrix(554,-203,131,-48) (4/11,11/30) -> (4/1,17/4) 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(263,-98,314,-117) (10/27,3/8) -> (5/6,16/19) Hyperbolic Matrix(131,-50,338,-129) (3/8,5/13) -> (5/13,7/18) Parabolic Matrix(2073,-808,880,-343) (7/18,16/41) -> (40/17,33/14) Hyperbolic Matrix(2589,-1012,724,-283) (16/41,9/23) -> (25/7,68/19) Hyperbolic Matrix(207,-82,154,-61) (9/23,2/5) -> (4/3,23/17) Hyperbolic Matrix(436,-177,537,-218) (2/5,11/27) -> (17/21,13/16) Hyperbolic Matrix(1943,-794,1226,-501) (11/27,9/22) -> (19/12,65/41) Hyperbolic Matrix(486,-199,127,-52) (9/22,7/17) -> (19/5,4/1) Hyperbolic Matrix(483,-200,128,-53) (7/17,5/12) -> (15/4,19/5) Hyperbolic Matrix(710,-297,153,-64) (5/12,13/31) -> (23/5,14/3) Hyperbolic Matrix(1901,-798,1446,-607) (13/31,21/50) -> (21/16,25/19) Hyperbolic Matrix(1724,-725,1013,-426) (21/50,8/19) -> (17/10,46/27) Hyperbolic Matrix(860,-363,507,-214) (8/19,11/26) -> (22/13,17/10) Hyperbolic Matrix(2933,-1242,810,-343) (11/26,14/33) -> (76/21,29/8) Hyperbolic Matrix(1541,-654,582,-247) (14/33,3/7) -> (45/17,8/3) Hyperbolic Matrix(175,-76,76,-33) (3/7,4/9) -> (16/7,7/3) Hyperbolic Matrix(224,-101,173,-78) (4/9,5/11) -> (9/7,13/10) Hyperbolic Matrix(642,-293,149,-68) (5/11,11/24) -> (30/7,13/3) Hyperbolic Matrix(1728,-793,937,-430) (11/24,17/37) -> (35/19,24/13) Hyperbolic Matrix(862,-397,469,-216) (17/37,6/13) -> (11/6,35/19) Hyperbolic Matrix(222,-103,319,-148) (6/13,1/2) -> (16/23,7/10) Hyperbolic Matrix(260,-137,353,-186) (1/2,8/15) -> (25/34,14/19) Hyperbolic Matrix(2055,-1112,608,-329) (7/13,13/24) -> (27/8,71/21) Hyperbolic Matrix(1728,-937,793,-430) (13/24,19/35) -> (37/17,24/11) Hyperbolic Matrix(862,-469,397,-216) (19/35,6/11) -> (13/6,37/17) Hyperbolic Matrix(256,-141,69,-38) (6/11,5/9) -> (11/3,15/4) Hyperbolic Matrix(207,-116,116,-65) (5/9,4/7) -> (16/9,9/5) Hyperbolic Matrix(228,-131,275,-158) (4/7,15/26) -> (14/17,5/6) Hyperbolic Matrix(707,-408,480,-277) (15/26,26/45) -> (22/15,3/2) Hyperbolic Matrix(1164,-673,889,-514) (26/45,11/19) -> (17/13,21/16) 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(159,-94,22,-13) (10/17,3/5) -> (7/1,8/1) Hyperbolic Matrix(156,-95,23,-14) (3/5,11/18) -> (6/1,7/1) Hyperbolic Matrix(2077,-1272,1272,-779) (11/18,19/31) -> (31/19,49/30) Hyperbolic Matrix(1585,-972,468,-287) (19/31,8/13) -> (44/13,17/5) Hyperbolic Matrix(1669,-1032,600,-371) (21/34,13/21) -> (25/9,39/14) Hyperbolic Matrix(666,-413,845,-524) (13/21,18/29) -> (11/14,15/19) Hyperbolic Matrix(4175,-2594,1154,-717) (18/29,23/37) -> (47/13,76/21) Hyperbolic Matrix(1042,-649,289,-180) (23/37,5/8) -> (18/5,47/13) Hyperbolic Matrix(155,-98,242,-153) (5/8,7/11) -> (7/11,9/14) Parabolic Matrix(329,-212,284,-183) (9/14,11/17) -> (15/13,7/6) Hyperbolic Matrix(1004,-651,219,-142) (11/17,13/20) -> (32/7,23/5) Hyperbolic Matrix(587,-384,240,-157) (13/20,2/3) -> (22/9,49/20) Hyperbolic Matrix(363,-250,106,-73) (2/3,9/13) -> (17/5,24/7) Hyperbolic Matrix(1105,-766,766,-531) (9/13,25/36) -> (49/34,13/9) Hyperbolic Matrix(106,-75,147,-104) (7/10,5/7) -> (5/7,8/11) Parabolic Matrix(499,-364,292,-213) (8/11,11/15) -> (29/17,12/7) Hyperbolic Matrix(1245,-914,914,-671) (11/15,25/34) -> (49/36,15/11) Hyperbolic Matrix(599,-444,228,-169) (14/19,3/4) -> (21/8,50/19) Hyperbolic Matrix(1901,-1446,798,-607) (3/4,16/21) -> (50/21,81/34) Hyperbolic Matrix(1164,-889,673,-514) (16/21,13/17) -> (19/11,45/26) Hyperbolic Matrix(774,-593,449,-344) (13/17,10/13) -> (31/18,19/11) Hyperbolic Matrix(224,-173,101,-78) (10/13,7/9) -> (11/5,9/4) Hyperbolic Matrix(161,-128,200,-159) (15/19,4/5) -> (4/5,17/21) Parabolic Matrix(338,-275,59,-48) (13/16,9/11) -> (17/3,6/1) Hyperbolic Matrix(771,-632,416,-341) (9/11,23/28) -> (37/20,13/7) Hyperbolic Matrix(1996,-1641,849,-698) (23/28,37/45) -> (7/3,40/17) Hyperbolic Matrix(3555,-2924,2924,-2405) (37/45,14/17) -> (62/51,45/37) Hyperbolic Matrix(1054,-889,313,-264) (16/19,11/13) -> (37/11,27/8) Hyperbolic Matrix(389,-332,116,-99) (11/13,6/7) -> (10/3,37/11) Hyperbolic Matrix(309,-266,194,-167) (6/7,7/8) -> (35/22,8/5) Hyperbolic Matrix(515,-456,96,-85) (7/8,8/9) -> (16/3,43/8) Hyperbolic Matrix(19,-18,18,-17) (8/9,1/1) -> (1/1,10/9) Parabolic Matrix(324,-361,289,-322) (10/9,19/17) -> (19/17,9/8) Parabolic Matrix(845,-956,236,-267) (9/8,8/7) -> (68/19,43/12) Hyperbolic Matrix(552,-635,419,-482) (23/20,15/13) -> (25/19,4/3) Hyperbolic Matrix(892,-1051,331,-390) (20/17,13/11) -> (35/13,27/10) Hyperbolic Matrix(263,-314,98,-117) (13/11,6/5) -> (8/3,35/13) Hyperbolic Matrix(228,-275,131,-158) (6/5,17/14) -> (26/15,7/4) Hyperbolic Matrix(5136,-6241,4225,-5134) (17/14,79/65) -> (79/65,62/51) Parabolic Matrix(2404,-2925,909,-1106) (45/37,28/23) -> (37/14,45/17) Hyperbolic Matrix(2029,-2472,600,-731) (28/23,11/9) -> (71/21,44/13) Hyperbolic Matrix(161,-200,128,-159) (16/13,5/4) -> (5/4,24/19) Parabolic Matrix(588,-743,239,-302) (24/19,19/15) -> (27/11,5/2) Hyperbolic Matrix(666,-845,413,-524) (19/15,14/11) -> (29/18,21/13) Hyperbolic Matrix(206,-263,47,-60) (14/11,9/7) -> (13/3,9/2) Hyperbolic Matrix(360,-469,109,-142) (13/10,17/13) -> (23/7,10/3) Hyperbolic Matrix(1744,-2361,489,-662) (23/17,42/31) -> (57/16,25/7) Hyperbolic Matrix(2583,-3502,1054,-1429) (42/31,19/14) -> (49/20,76/31) Hyperbolic Matrix(854,-1161,153,-208) (19/14,34/25) -> (11/2,28/5) Hyperbolic Matrix(5064,-6889,3721,-5062) (34/25,83/61) -> (83/61,49/36) Parabolic Matrix(867,-1184,320,-437) (15/11,26/19) -> (46/17,19/7) Hyperbolic Matrix(106,-147,75,-104) (11/8,7/5) -> (7/5,10/7) Parabolic Matrix(222,-319,103,-148) (10/7,23/16) -> (2/1,13/6) Hyperbolic Matrix(944,-1359,207,-298) (23/16,36/25) -> (9/2,32/7) Hyperbolic Matrix(5016,-7225,3481,-5014) (36/25,85/59) -> (85/59,49/34) Parabolic Matrix(1462,-2139,555,-812) (19/13,22/15) -> (79/30,29/11) Hyperbolic Matrix(155,-242,98,-153) (3/2,11/7) -> (11/7,19/12) Parabolic Matrix(5791,-9184,2200,-3489) (65/41,46/29) -> (50/19,129/49) Hyperbolic Matrix(2586,-4109,1085,-1724) (27/17,62/39) -> (81/34,31/13) Hyperbolic Matrix(2682,-4265,737,-1172) (62/39,35/22) -> (40/11,51/14) Hyperbolic 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(1191,-1940,644,-1049) (13/8,44/27) -> (24/13,37/20) Hyperbolic Matrix(2748,-4489,1681,-2746) (49/30,67/41) -> (67/41,18/11) Parabolic Matrix(1687,-2922,474,-821) (45/26,26/15) -> (32/9,57/16) Hyperbolic Matrix(300,-529,169,-298) (7/4,23/13) -> (23/13,16/9) Parabolic Matrix(213,-398,38,-71) (13/7,2/1) -> (28/5,17/3) Hyperbolic Matrix(276,-625,121,-274) (9/4,25/11) -> (25/11,16/7) Parabolic Matrix(96,-227,11,-26) (26/11,19/8) -> (8/1,1/0) Hyperbolic Matrix(1182,-2813,437,-1040) (19/8,50/21) -> (27/10,46/17) Hyperbolic Matrix(358,-867,147,-356) (29/12,17/7) -> (17/7,22/9) Parabolic Matrix(6287,-15420,2388,-5857) (76/31,27/11) -> (129/49,208/79) Hyperbolic Matrix(131,-338,50,-129) (5/2,13/5) -> (13/5,21/8) Parabolic Matrix(31284,-82369,11881,-31282) (208/79,287/109) -> (287/109,79/30) Parabolic Matrix(851,-2246,158,-417) (29/11,37/14) -> (43/8,27/5) Hyperbolic Matrix(2292,-6241,841,-2290) (49/18,79/29) -> (79/29,30/11) Parabolic Matrix(1008,-2809,361,-1006) (39/14,53/19) -> (53/19,14/5) Parabolic Matrix(28,-81,9,-26) (14/5,3/1) -> (3/1,13/4) Parabolic Matrix(113,-392,32,-111) (24/7,7/2) -> (7/2,32/9) Parabolic Matrix(466,-1693,109,-396) (29/8,40/11) -> (17/4,30/7) Hyperbolic Matrix(3504,-12769,961,-3502) (51/14,113/31) -> (113/31,62/17) Parabolic Matrix(31,-150,6,-29) (14/3,5/1) -> (5/1,16/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(0,-1,1,2) -> Matrix(1,0,2,1) Matrix(159,-22,94,-13) -> Matrix(1,-2,0,1) Matrix(156,-23,95,-14) -> Matrix(1,-2,0,1) Matrix(338,-59,275,-48) -> Matrix(1,0,0,1) Matrix(213,-38,398,-71) -> Matrix(1,0,0,1) Matrix(31,-6,150,-29) -> Matrix(1,0,0,1) Matrix(1069,-226,298,-63) -> Matrix(1,-2,0,1) Matrix(710,-153,297,-64) -> Matrix(1,2,-2,-3) Matrix(1922,-419,1211,-264) -> Matrix(1,0,0,1) Matrix(944,-207,1359,-298) -> Matrix(5,2,2,1) Matrix(206,-47,263,-60) -> Matrix(1,4,0,1) Matrix(642,-149,293,-68) -> Matrix(1,0,0,1) Matrix(466,-109,1693,-396) -> Matrix(1,0,2,1) Matrix(554,-131,203,-48) -> Matrix(1,0,0,1) Matrix(483,-128,200,-53) -> Matrix(1,0,-4,1) Matrix(256,-69,141,-38) -> Matrix(1,0,-2,1) Matrix(1243,-340,340,-93) -> Matrix(1,0,0,1) Matrix(1328,-365,1157,-318) -> Matrix(9,-4,-2,1) Matrix(2933,-810,1242,-343) -> Matrix(1,0,-2,1) Matrix(1042,-289,649,-180) -> Matrix(1,-2,0,1) Matrix(761,-212,140,-39) -> Matrix(1,-2,0,1) Matrix(533,-150,366,-103) -> Matrix(1,-2,0,1) Matrix(363,-106,250,-73) -> Matrix(5,-2,-2,1) Matrix(1585,-468,972,-287) -> Matrix(1,-2,0,1) Matrix(389,-116,332,-99) -> Matrix(5,-2,-2,1) Matrix(523,-160,304,-93) -> Matrix(1,-2,0,1) Matrix(28,-9,81,-26) -> Matrix(1,0,0,1) Matrix(343,-124,556,-201) -> Matrix(3,-2,2,-1) Matrix(554,-203,131,-48) -> Matrix(1,0,0,1) Matrix(1501,-552,552,-203) -> Matrix(1,0,-4,1) Matrix(1657,-612,972,-359) -> Matrix(1,0,-2,1) Matrix(263,-98,314,-117) -> Matrix(3,-2,2,-1) Matrix(131,-50,338,-129) -> Matrix(3,-2,2,-1) Matrix(2073,-808,880,-343) -> Matrix(1,-2,0,1) Matrix(2589,-1012,724,-283) -> Matrix(1,0,0,1) Matrix(207,-82,154,-61) -> Matrix(1,-2,0,1) Matrix(436,-177,537,-218) -> Matrix(1,-2,0,1) Matrix(1943,-794,1226,-501) -> Matrix(1,0,0,1) Matrix(486,-199,127,-52) -> Matrix(1,0,0,1) Matrix(483,-200,128,-53) -> Matrix(1,0,-4,1) Matrix(710,-297,153,-64) -> Matrix(3,-2,2,-1) Matrix(1901,-798,1446,-607) -> Matrix(11,-8,-4,3) Matrix(1724,-725,1013,-426) -> Matrix(3,-2,-4,3) Matrix(860,-363,507,-214) -> Matrix(1,-2,0,1) Matrix(2933,-1242,810,-343) -> Matrix(1,0,-2,1) Matrix(1541,-654,582,-247) -> Matrix(1,0,-2,1) Matrix(175,-76,76,-33) -> Matrix(3,-2,-4,3) Matrix(224,-101,173,-78) -> Matrix(1,-4,0,1) Matrix(642,-293,149,-68) -> Matrix(1,0,0,1) Matrix(1728,-793,937,-430) -> Matrix(1,0,-2,1) Matrix(862,-397,469,-216) -> Matrix(1,-2,0,1) Matrix(222,-103,319,-148) -> Matrix(1,2,0,1) Matrix(260,-137,353,-186) -> Matrix(1,0,0,1) Matrix(2055,-1112,608,-329) -> Matrix(1,0,-2,1) Matrix(1728,-937,793,-430) -> Matrix(1,0,-2,1) Matrix(862,-469,397,-216) -> Matrix(1,-2,0,1) Matrix(256,-141,69,-38) -> Matrix(1,0,-2,1) Matrix(207,-116,116,-65) -> Matrix(3,-2,-4,3) Matrix(228,-131,275,-158) -> Matrix(1,-2,2,-3) Matrix(707,-408,480,-277) -> Matrix(1,-4,0,1) Matrix(1164,-673,889,-514) -> Matrix(1,-4,0,1) Matrix(523,-304,160,-93) -> Matrix(1,-2,0,1) Matrix(499,-292,364,-213) -> Matrix(1,-2,0,1) Matrix(159,-94,22,-13) -> Matrix(1,-2,0,1) Matrix(156,-95,23,-14) -> Matrix(1,-2,0,1) Matrix(2077,-1272,1272,-779) -> Matrix(5,-6,-4,5) Matrix(1585,-972,468,-287) -> Matrix(1,-2,0,1) Matrix(1669,-1032,600,-371) -> Matrix(1,-2,-2,5) Matrix(666,-413,845,-524) -> Matrix(1,4,0,1) Matrix(4175,-2594,1154,-717) -> Matrix(1,0,-2,1) Matrix(1042,-649,289,-180) -> Matrix(1,-2,0,1) Matrix(155,-98,242,-153) -> Matrix(3,-2,2,-1) Matrix(329,-212,284,-183) -> Matrix(7,-10,-2,3) Matrix(1004,-651,219,-142) -> Matrix(1,-2,2,-3) Matrix(587,-384,240,-157) -> Matrix(1,-2,2,-3) Matrix(363,-250,106,-73) -> Matrix(1,-2,-2,5) Matrix(1105,-766,766,-531) -> Matrix(1,-4,0,1) Matrix(106,-75,147,-104) -> Matrix(1,-2,0,1) Matrix(499,-364,292,-213) -> Matrix(1,-2,0,1) Matrix(1245,-914,914,-671) -> Matrix(1,-2,0,1) Matrix(599,-444,228,-169) -> Matrix(1,0,-2,1) Matrix(1901,-1446,798,-607) -> Matrix(3,-8,-4,11) Matrix(1164,-889,673,-514) -> Matrix(1,-4,0,1) Matrix(774,-593,449,-344) -> Matrix(1,-4,0,1) Matrix(224,-173,101,-78) -> Matrix(1,-4,0,1) Matrix(161,-128,200,-159) -> Matrix(1,-8,0,1) Matrix(338,-275,59,-48) -> Matrix(1,0,0,1) Matrix(771,-632,416,-341) -> Matrix(1,0,0,1) Matrix(1996,-1641,849,-698) -> Matrix(1,0,2,1) Matrix(3555,-2924,2924,-2405) -> Matrix(1,0,8,1) Matrix(1054,-889,313,-264) -> Matrix(1,-2,0,1) Matrix(389,-332,116,-99) -> Matrix(1,-2,-2,5) Matrix(309,-266,194,-167) -> Matrix(1,-4,0,1) Matrix(515,-456,96,-85) -> Matrix(1,-10,0,1) Matrix(19,-18,18,-17) -> Matrix(1,-2,0,1) Matrix(324,-361,289,-322) -> Matrix(1,-26,0,1) Matrix(845,-956,236,-267) -> Matrix(1,8,0,1) Matrix(552,-635,419,-482) -> Matrix(5,18,-2,-7) Matrix(892,-1051,331,-390) -> Matrix(1,2,0,1) Matrix(263,-314,98,-117) -> Matrix(1,2,-2,-3) Matrix(228,-275,131,-158) -> Matrix(3,2,-2,-1) Matrix(5136,-6241,4225,-5134) -> Matrix(1,0,14,1) Matrix(2404,-2925,909,-1106) -> Matrix(1,0,-4,1) Matrix(2029,-2472,600,-731) -> Matrix(1,0,-2,1) Matrix(161,-200,128,-159) -> Matrix(1,-8,0,1) Matrix(588,-743,239,-302) -> Matrix(1,6,0,1) Matrix(666,-845,413,-524) -> Matrix(1,4,0,1) Matrix(206,-263,47,-60) -> Matrix(1,4,0,1) Matrix(360,-469,109,-142) -> Matrix(1,2,0,1) Matrix(1744,-2361,489,-662) -> Matrix(1,2,0,1) Matrix(2583,-3502,1054,-1429) -> Matrix(1,2,0,1) Matrix(854,-1161,153,-208) -> Matrix(1,0,0,1) Matrix(5064,-6889,3721,-5062) -> Matrix(1,0,0,1) Matrix(867,-1184,320,-437) -> Matrix(1,2,-2,-3) Matrix(106,-147,75,-104) -> Matrix(1,-2,0,1) Matrix(222,-319,103,-148) -> Matrix(1,2,0,1) Matrix(944,-1359,207,-298) -> Matrix(1,2,2,5) Matrix(5016,-7225,3481,-5014) -> Matrix(11,24,-6,-13) Matrix(1462,-2139,555,-812) -> Matrix(1,4,-2,-7) Matrix(155,-242,98,-153) -> Matrix(1,2,-2,-3) Matrix(5791,-9184,2200,-3489) -> Matrix(1,2,-2,-3) Matrix(2586,-4109,1085,-1724) -> Matrix(1,2,-2,-3) Matrix(2682,-4265,737,-1172) -> Matrix(1,0,-2,1) Matrix(1821,-2932,772,-1243) -> Matrix(1,0,0,1) Matrix(343,-556,124,-201) -> Matrix(1,2,-2,-3) Matrix(1191,-1940,644,-1049) -> Matrix(1,2,-2,-3) Matrix(2748,-4489,1681,-2746) -> Matrix(5,6,-6,-7) Matrix(1687,-2922,474,-821) -> Matrix(1,2,0,1) Matrix(300,-529,169,-298) -> Matrix(9,10,-10,-11) Matrix(213,-398,38,-71) -> Matrix(1,0,0,1) Matrix(276,-625,121,-274) -> Matrix(7,8,-8,-9) Matrix(96,-227,11,-26) -> Matrix(1,0,0,1) Matrix(1182,-2813,437,-1040) -> Matrix(3,2,-2,-1) Matrix(358,-867,147,-356) -> Matrix(1,0,4,1) Matrix(6287,-15420,2388,-5857) -> Matrix(1,0,-2,1) Matrix(131,-338,50,-129) -> Matrix(1,2,-2,-3) Matrix(31284,-82369,11881,-31282) -> Matrix(1,2,-2,-3) Matrix(851,-2246,158,-417) -> Matrix(7,4,-2,-1) Matrix(2292,-6241,841,-2290) -> Matrix(1,0,6,1) Matrix(1008,-2809,361,-1006) -> Matrix(1,0,4,1) Matrix(28,-81,9,-26) -> Matrix(1,0,0,1) Matrix(113,-392,32,-111) -> Matrix(1,0,2,1) Matrix(466,-1693,109,-396) -> Matrix(1,0,2,1) Matrix(3504,-12769,961,-3502) -> Matrix(1,0,10,1) Matrix(31,-150,6,-29) -> Matrix(1,0,0,1) 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 elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 29 ----------------------------------------------------------------------- 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 2 1 1/1 1/0 2 18 19/17 1/0 26 1 9/8 (-14/1,1/0) 0 36 8/7 -5/1 1 12 7/6 (-3/1,1/0) 0 36 13/11 -2/1 2 3 6/5 (-2/1,-1/1) 0 36 17/14 (-1/3,0/1) 0 36 79/65 0/1 14 1 45/37 1/4 2 18 28/23 1/1 1 12 11/9 0 9 16/13 (1/1,2/1) 0 36 5/4 1/0 4 4 24/19 (-7/1,-6/1) 0 36 19/15 1/0 2 18 14/11 (-5/1,-4/1) 0 36 9/7 0 9 13/10 (-3/1,-5/2) 0 36 17/13 0 6 21/16 (-3/1,-2/1) 0 36 4/3 (-2/1,-1/1) 0 36 19/14 -1/1 1 12 34/25 (-1/1,1/0) 0 36 83/61 (-1/1,1/0) 0 1 15/11 1/0 2 18 11/8 (0/1,1/0) 0 36 7/5 1/0 2 3 10/7 (-2/1,1/0) 0 36 23/16 -3/1 1 12 36/25 (-7/3,-2/1) 0 36 85/59 -2/1 6 1 13/9 1/0 2 18 3/2 (-2/1,-1/1) 0 36 11/7 -1/1 2 2 19/12 (-1/1,0/1) 0 36 46/29 -1/1 1 12 27/17 0 9 62/39 (-1/3,0/1) 0 36 35/22 1/1 1 12 8/5 (-1/1,1/0) 0 36 37/23 -1/1 2 3 29/18 (-1/1,0/1) 0 36 21/13 1/0 2 18 13/8 -1/1 1 12 31/19 -3/2 2 18 67/41 -1/1 6 1 18/11 (-1/1,0/1) 0 36 5/3 0 9 17/10 -1/1 2 4 29/17 1/0 2 18 12/7 (-2/1,1/0) 0 36 19/11 0 6 45/26 (-2/1,-1/1) 0 36 26/15 (-3/1,-2/1) 0 36 7/4 (-4/3,-1/1) 0 36 23/13 -1/1 10 1 9/5 -1/2 2 18 11/6 (-2/1,1/0) 0 36 35/19 -1/1 2 2 24/13 (-1/1,0/1) 0 36 13/7 0 9 2/1 -1/1 1 12 13/6 (0/1,1/0) 0 36 37/17 -1/1 2 2 24/11 (-1/1,0/1) 0 36 11/5 0 9 9/4 (-3/2,-1/1) 0 36 25/11 -1/1 8 1 7/3 -1/2 2 18 33/14 (-1/1,0/1) 0 36 26/11 (-1/1,0/1) 0 36 19/8 -1/1 2 4 50/21 (-1/1,-2/3) 0 36 81/34 (-5/7,-2/3) 0 36 31/13 0 9 12/5 (-1/2,-2/5) 0 36 17/7 0/1 4 3 22/9 (0/1,1/1) 0 36 49/20 1/1 1 12 27/11 1/0 2 18 5/2 (-1/1,0/1) 0 36 13/5 -1/1 2 2 21/8 (-1/1,-2/3) 0 36 50/19 -1/1 1 12 129/49 -1/2 2 18 287/109 -1/1 2 1 79/30 (-1/1,-2/3) 0 36 29/11 0 9 37/14 -1/3 1 12 45/17 1/0 2 18 8/3 (-1/1,0/1) 0 36 35/13 0/1 2 3 27/10 (-1/1,0/1) 0 36 46/17 -1/1 2 4 19/7 -1/2 2 18 79/29 0/1 6 1 30/11 (0/1,1/1) 0 36 11/4 -1/1 1 12 25/9 -1/2 2 18 53/19 0/1 4 1 14/5 (0/1,1/0) 0 36 3/1 0 9 13/4 (0/1,1/0) 0 36 23/7 0 6 10/3 (-1/1,-1/2) 0 36 37/11 0/1 2 3 27/8 (-1/1,0/1) 0 36 71/21 0 9 44/13 -1/1 1 12 17/5 -1/2 2 18 24/7 (-1/3,0/1) 0 36 7/2 0/1 1 4 32/9 (-1/1,0/1) 0 36 57/16 (0/1,1/1) 0 36 25/7 0 9 18/5 (-1/1,1/0) 0 36 47/13 -1/1 2 3 76/21 (-1/1,0/1) 0 36 29/8 (-1/1,0/1) 0 36 40/11 -1/1 1 12 51/14 (-1/5,0/1) 0 36 113/31 0/1 10 1 11/3 1/0 2 18 15/4 (-2/3,-1/2) 0 36 19/5 0/1 4 3 4/1 (-1/1,0/1) 0 36 17/4 1/1 1 12 30/7 (0/1,1/1) 0 36 13/3 0 9 9/2 (-1/1,0/1) 0 36 32/7 1/1 1 12 23/5 0 9 14/3 (4/1,1/0) 0 36 5/1 0 6 16/3 (4/1,1/0) 0 36 43/8 -5/1 1 12 27/5 0 9 11/2 (-1/1,1/0) 0 36 28/5 -1/1 1 12 17/3 0 9 6/1 (-2/1,-1/1) 0 36 7/1 0 9 8/1 -1/1 2 4 1/0 (-1/1,0/1) 0 36 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(0,1,1,0) (-1/1,1/1) -> (-1/1,1/1) Reflection Matrix(18,-19,17,-18) (1/1,19/17) -> (1/1,19/17) Reflection Matrix(305,-342,272,-305) (19/17,9/8) -> (19/17,9/8) Reflection Matrix(456,-515,85,-96) (9/8,8/7) -> (16/3,43/8) Glide Reflection Matrix(266,-309,167,-194) (8/7,7/6) -> (35/22,8/5) Glide Reflection Matrix(332,-389,99,-116) (7/6,13/11) -> (10/3,37/11) Glide Reflection Matrix(263,-314,98,-117) (13/11,6/5) -> (8/3,35/13) Hyperbolic Matrix(228,-275,131,-158) (6/5,17/14) -> (26/15,7/4) Hyperbolic Matrix(2211,-2686,1820,-2211) (17/14,79/65) -> (17/14,79/65) Reflection Matrix(2924,-3555,2405,-2924) (79/65,45/37) -> (79/65,45/37) Reflection Matrix(2404,-2925,909,-1106) (45/37,28/23) -> (37/14,45/17) Hyperbolic Matrix(2029,-2472,600,-731) (28/23,11/9) -> (71/21,44/13) Hyperbolic Matrix(275,-338,48,-59) (11/9,16/13) -> (17/3,6/1) Glide Reflection Matrix(161,-200,128,-159) (16/13,5/4) -> (5/4,24/19) Parabolic Matrix(588,-743,239,-302) (24/19,19/15) -> (27/11,5/2) Hyperbolic Matrix(666,-845,413,-524) (19/15,14/11) -> (29/18,21/13) Hyperbolic Matrix(206,-263,47,-60) (14/11,9/7) -> (13/3,9/2) Hyperbolic Matrix(173,-224,78,-101) (9/7,13/10) -> (11/5,9/4) Glide Reflection Matrix(360,-469,109,-142) (13/10,17/13) -> (23/7,10/3) Hyperbolic Matrix(889,-1164,514,-673) (17/13,21/16) -> (19/11,45/26) Glide Reflection Matrix(1446,-1901,607,-798) (21/16,4/3) -> (50/21,81/34) Glide Reflection Matrix(444,-599,169,-228) (4/3,19/14) -> (21/8,50/19) Glide Reflection Matrix(854,-1161,153,-208) (19/14,34/25) -> (11/2,28/5) Hyperbolic Matrix(4149,-5644,3050,-4149) (34/25,83/61) -> (34/25,83/61) Reflection Matrix(914,-1245,671,-914) (83/61,15/11) -> (83/61,15/11) Reflection Matrix(364,-499,213,-292) (15/11,11/8) -> (29/17,12/7) Glide Reflection Matrix(106,-147,75,-104) (11/8,7/5) -> (7/5,10/7) Parabolic Matrix(222,-319,103,-148) (10/7,23/16) -> (2/1,13/6) Hyperbolic Matrix(944,-1359,207,-298) (23/16,36/25) -> (9/2,32/7) Hyperbolic Matrix(4249,-6120,2950,-4249) (36/25,85/59) -> (36/25,85/59) Reflection Matrix(766,-1105,531,-766) (85/59,13/9) -> (85/59,13/9) Reflection Matrix(250,-363,73,-106) (13/9,3/2) -> (17/5,24/7) Glide Reflection Matrix(155,-242,98,-153) (3/2,11/7) -> (11/7,19/12) Parabolic Matrix(1226,-1943,501,-794) (19/12,46/29) -> (22/9,49/20) Glide Reflection Matrix(1211,-1922,264,-419) (46/29,27/17) -> (32/7,23/5) Glide Reflection Matrix(2586,-4109,1085,-1724) (27/17,62/39) -> (81/34,31/13) Hyperbolic Matrix(2682,-4265,737,-1172) (62/39,35/22) -> (40/11,51/14) Hyperbolic Matrix(649,-1042,180,-289) (8/5,37/23) -> (18/5,47/13) Glide Reflection Matrix(2594,-4175,717,-1154) (37/23,29/18) -> (47/13,76/21) Glide Reflection Matrix(343,-556,124,-201) (21/13,13/8) -> (11/4,25/9) Hyperbolic Matrix(972,-1585,287,-468) (13/8,31/19) -> (44/13,17/5) Glide Reflection Matrix(1272,-2077,779,-1272) (31/19,67/41) -> (31/19,67/41) Reflection Matrix(1475,-2412,902,-1475) (67/41,18/11) -> (67/41,18/11) Reflection Matrix(95,-156,14,-23) (18/11,5/3) -> (6/1,7/1) Glide Reflection Matrix(94,-159,13,-22) (5/3,17/10) -> (7/1,8/1) Glide Reflection Matrix(972,-1657,359,-612) (17/10,29/17) -> (46/17,19/7) Glide Reflection Matrix(304,-523,93,-160) (12/7,19/11) -> (13/4,23/7) Glide Reflection Matrix(1687,-2922,474,-821) (45/26,26/15) -> (32/9,57/16) Hyperbolic Matrix(183,-322,104,-183) (7/4,23/13) -> (7/4,23/13) Reflection Matrix(116,-207,65,-116) (23/13,9/5) -> (23/13,9/5) Reflection Matrix(141,-256,38,-69) (9/5,11/6) -> (11/3,15/4) Glide Reflection Matrix(469,-862,216,-397) (11/6,35/19) -> (13/6,37/17) Glide Reflection Matrix(937,-1728,430,-793) (35/19,24/13) -> (37/17,24/11) Glide Reflection Matrix(1112,-2055,329,-608) (24/13,13/7) -> (27/8,71/21) Glide Reflection Matrix(213,-398,38,-71) (13/7,2/1) -> (28/5,17/3) Hyperbolic Matrix(293,-642,68,-149) (24/11,11/5) -> (30/7,13/3) Glide Reflection Matrix(199,-450,88,-199) (9/4,25/11) -> (9/4,25/11) Reflection Matrix(76,-175,33,-76) (25/11,7/3) -> (25/11,7/3) Reflection Matrix(654,-1541,247,-582) (7/3,33/14) -> (45/17,8/3) Glide Reflection Matrix(1242,-2933,343,-810) (33/14,26/11) -> (76/21,29/8) Glide Reflection Matrix(96,-227,11,-26) (26/11,19/8) -> (8/1,1/0) Hyperbolic Matrix(1182,-2813,437,-1040) (19/8,50/21) -> (27/10,46/17) Hyperbolic Matrix(297,-710,64,-153) (31/13,12/5) -> (23/5,14/3) Glide Reflection Matrix(200,-483,53,-128) (12/5,17/7) -> (15/4,19/5) Glide Reflection Matrix(199,-486,52,-127) (17/7,22/9) -> (19/5,4/1) Glide Reflection Matrix(3130,-7671,1189,-2914) (49/20,27/11) -> (50/19,129/49) Glide Reflection Matrix(131,-338,50,-129) (5/2,13/5) -> (13/5,21/8) Parabolic Matrix(14062,-37023,5341,-14062) (129/49,287/109) -> (129/49,287/109) Reflection Matrix(17221,-45346,6540,-17221) (287/109,79/30) -> (287/109,79/30) Reflection Matrix(1377,-3628,386,-1017) (79/30,29/11) -> (57/16,25/7) Glide Reflection Matrix(851,-2246,158,-417) (29/11,37/14) -> (43/8,27/5) Hyperbolic Matrix(721,-1944,214,-577) (35/13,27/10) -> (37/11,27/8) Glide Reflection Matrix(552,-1501,203,-552) (19/7,79/29) -> (19/7,79/29) Reflection Matrix(1739,-4740,638,-1739) (79/29,30/11) -> (79/29,30/11) Reflection Matrix(203,-554,48,-131) (30/11,11/4) -> (4/1,17/4) Glide Reflection Matrix(476,-1325,171,-476) (25/9,53/19) -> (25/9,53/19) Reflection Matrix(531,-1484,190,-531) (53/19,14/5) -> (53/19,14/5) Reflection Matrix(28,-81,9,-26) (14/5,3/1) -> (3/1,13/4) Parabolic Matrix(113,-392,32,-111) (24/7,7/2) -> (7/2,32/9) Parabolic Matrix(212,-761,39,-140) (25/7,18/5) -> (27/5,11/2) Glide Reflection Matrix(466,-1693,109,-396) (29/8,40/11) -> (17/4,30/7) Hyperbolic Matrix(3163,-11526,868,-3163) (51/14,113/31) -> (51/14,113/31) Reflection Matrix(340,-1243,93,-340) (113/31,11/3) -> (113/31,11/3) Reflection Matrix(31,-150,6,-29) (14/3,5/1) -> (5/1,16/3) Parabolic IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(-1,0,2,1) (-1/1,1/0) -> (-1/1,0/1) Matrix(0,1,1,0) -> Matrix(1,0,0,-1) (-1/1,1/1) -> (0/1,1/0) Matrix(18,-19,17,-18) -> Matrix(1,2,0,-1) (1/1,19/17) -> (-1/1,1/0) Matrix(305,-342,272,-305) -> Matrix(1,28,0,-1) (19/17,9/8) -> (-14/1,1/0) Matrix(456,-515,85,-96) -> Matrix(1,10,0,-1) *** -> (-5/1,1/0) Matrix(266,-309,167,-194) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(332,-389,99,-116) -> Matrix(1,2,-2,-5) Matrix(263,-314,98,-117) -> Matrix(1,2,-2,-3) -1/1 Matrix(228,-275,131,-158) -> Matrix(3,2,-2,-1) -1/1 Matrix(2211,-2686,1820,-2211) -> Matrix(-1,0,6,1) (17/14,79/65) -> (-1/3,0/1) Matrix(2924,-3555,2405,-2924) -> Matrix(1,0,8,-1) (79/65,45/37) -> (0/1,1/4) Matrix(2404,-2925,909,-1106) -> Matrix(1,0,-4,1) 0/1 Matrix(2029,-2472,600,-731) -> Matrix(1,0,-2,1) 0/1 Matrix(275,-338,48,-59) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(161,-200,128,-159) -> Matrix(1,-8,0,1) 1/0 Matrix(588,-743,239,-302) -> Matrix(1,6,0,1) 1/0 Matrix(666,-845,413,-524) -> Matrix(1,4,0,1) 1/0 Matrix(206,-263,47,-60) -> Matrix(1,4,0,1) 1/0 Matrix(173,-224,78,-101) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(360,-469,109,-142) -> Matrix(1,2,0,1) 1/0 Matrix(889,-1164,514,-673) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(1446,-1901,607,-798) -> Matrix(3,8,-4,-11) Matrix(444,-599,169,-228) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(854,-1161,153,-208) -> Matrix(1,0,0,1) Matrix(4149,-5644,3050,-4149) -> Matrix(1,2,0,-1) (34/25,83/61) -> (-1/1,1/0) Matrix(914,-1245,671,-914) -> Matrix(1,2,0,-1) (83/61,15/11) -> (-1/1,1/0) Matrix(364,-499,213,-292) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(106,-147,75,-104) -> Matrix(1,-2,0,1) 1/0 Matrix(222,-319,103,-148) -> Matrix(1,2,0,1) 1/0 Matrix(944,-1359,207,-298) -> Matrix(1,2,2,5) Matrix(4249,-6120,2950,-4249) -> Matrix(13,28,-6,-13) (36/25,85/59) -> (-7/3,-2/1) Matrix(766,-1105,531,-766) -> Matrix(1,4,0,-1) (85/59,13/9) -> (-2/1,1/0) Matrix(250,-363,73,-106) -> Matrix(1,2,-2,-5) Matrix(155,-242,98,-153) -> Matrix(1,2,-2,-3) -1/1 Matrix(1226,-1943,501,-794) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1211,-1922,264,-419) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2586,-4109,1085,-1724) -> Matrix(1,2,-2,-3) -1/1 Matrix(2682,-4265,737,-1172) -> Matrix(1,0,-2,1) 0/1 Matrix(649,-1042,180,-289) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(2594,-4175,717,-1154) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(343,-556,124,-201) -> Matrix(1,2,-2,-3) -1/1 Matrix(972,-1585,287,-468) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(1272,-2077,779,-1272) -> Matrix(5,6,-4,-5) (31/19,67/41) -> (-3/2,-1/1) Matrix(1475,-2412,902,-1475) -> Matrix(-1,0,2,1) (67/41,18/11) -> (-1/1,0/1) Matrix(95,-156,14,-23) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(94,-159,13,-22) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(972,-1657,359,-612) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(304,-523,93,-160) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(1687,-2922,474,-821) -> Matrix(1,2,0,1) 1/0 Matrix(183,-322,104,-183) -> Matrix(7,8,-6,-7) (7/4,23/13) -> (-4/3,-1/1) Matrix(116,-207,65,-116) -> Matrix(3,2,-4,-3) (23/13,9/5) -> (-1/1,-1/2) Matrix(141,-256,38,-69) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(469,-862,216,-397) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(937,-1728,430,-793) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1112,-2055,329,-608) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(213,-398,38,-71) -> Matrix(1,0,0,1) Matrix(293,-642,68,-149) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(199,-450,88,-199) -> Matrix(5,6,-4,-5) (9/4,25/11) -> (-3/2,-1/1) Matrix(76,-175,33,-76) -> Matrix(3,2,-4,-3) (25/11,7/3) -> (-1/1,-1/2) Matrix(654,-1541,247,-582) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1242,-2933,343,-810) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(96,-227,11,-26) -> Matrix(1,0,0,1) Matrix(1182,-2813,437,-1040) -> Matrix(3,2,-2,-1) -1/1 Matrix(297,-710,64,-153) -> Matrix(3,2,2,1) Matrix(200,-483,53,-128) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(199,-486,52,-127) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(3130,-7671,1189,-2914) -> Matrix(1,-2,-2,3) Matrix(131,-338,50,-129) -> Matrix(1,2,-2,-3) -1/1 Matrix(14062,-37023,5341,-14062) -> Matrix(3,2,-4,-3) (129/49,287/109) -> (-1/1,-1/2) Matrix(17221,-45346,6540,-17221) -> Matrix(5,4,-6,-5) (287/109,79/30) -> (-1/1,-2/3) Matrix(1377,-3628,386,-1017) -> Matrix(3,2,2,1) Matrix(851,-2246,158,-417) -> Matrix(7,4,-2,-1) Matrix(721,-1944,214,-577) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(552,-1501,203,-552) -> Matrix(-1,0,4,1) (19/7,79/29) -> (-1/2,0/1) Matrix(1739,-4740,638,-1739) -> Matrix(1,0,2,-1) (79/29,30/11) -> (0/1,1/1) Matrix(203,-554,48,-131) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(476,-1325,171,-476) -> Matrix(-1,0,4,1) (25/9,53/19) -> (-1/2,0/1) Matrix(531,-1484,190,-531) -> Matrix(1,0,0,-1) (53/19,14/5) -> (0/1,1/0) Matrix(28,-81,9,-26) -> Matrix(1,0,0,1) Matrix(113,-392,32,-111) -> Matrix(1,0,2,1) 0/1 Matrix(212,-761,39,-140) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(466,-1693,109,-396) -> Matrix(1,0,2,1) 0/1 Matrix(3163,-11526,868,-3163) -> Matrix(-1,0,10,1) (51/14,113/31) -> (-1/5,0/1) Matrix(340,-1243,93,-340) -> Matrix(1,0,0,-1) (113/31,11/3) -> (0/1,1/0) Matrix(31,-150,6,-29) -> Matrix(1,0,0,1) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.