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): 2160 Minimal number of generators: 361 Number of equivalence classes of cusps: 90 Genus: 136 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -15/34 -11/30 -1/3 -7/26 -5/24 0/1 2/17 3/16 7/31 4/15 13/44 1/3 5/14 11/27 6/13 1/2 41/73 7/12 8/11 9/10 1/1 21/17 43/33 11/8 56/39 3/2 23/15 11/7 47/29 59/36 5/3 191/113 12/7 9/5 2/1 13/6 66/29 53/23 7/3 27/11 5/2 41/16 55/21 111/41 153/56 14/5 3/1 29/9 7/2 89/25 29/8 11/3 15/4 4/1 21/5 77/18 13/3 35/8 31/7 9/2 14/3 47/10 19/4 29/6 63/13 5/1 21/4 16/3 27/5 11/2 17/3 23/4 6/1 25/4 19/3 13/2 33/5 20/3 27/4 7/1 15/2 8/1 17/2 9/1 19/2 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 0/1 1/2 -7/15 1/1 -20/43 -1/1 -13/28 0/1 1/4 -6/13 1/1 -5/11 1/1 -14/31 1/3 -23/51 1/1 -9/20 0/1 1/0 -22/49 1/7 -35/78 0/1 1/5 -13/29 1/3 -17/38 2/5 1/2 -4/9 1/3 -15/34 1/2 -26/59 3/5 -11/25 1/1 -18/41 3/5 -43/98 1/2 2/3 -25/57 1/1 -7/16 1/2 1/1 -10/23 1/1 -13/30 -1/2 0/1 -16/37 1/7 -3/7 1/3 -11/26 1/2 2/3 -30/71 1/1 -19/45 1/1 -8/19 3/5 -21/50 6/7 1/1 -13/31 1/1 -5/12 0/1 1/0 -22/53 1/11 -39/94 0/1 1/8 -17/41 1/5 -29/70 0/1 1/4 -12/29 1/5 -31/75 1/5 -19/46 1/4 3/11 -26/63 1/3 -7/17 1/3 -23/56 1/3 4/11 -16/39 1/3 -9/22 1/3 1/2 -2/5 1/1 -9/23 1/3 -7/18 2/5 1/2 -5/13 1/1 -23/60 1/2 1/1 -18/47 1/1 -49/128 0/1 1/1 -31/81 1/1 -13/34 2/5 1/2 -21/55 3/5 -8/21 1/1 -27/71 1/1 -19/50 0/1 1/2 -11/29 1/1 -14/37 1/3 -17/45 1/1 -20/53 1/1 -3/8 0/1 1/2 -10/27 1/3 -7/19 1/3 -11/30 1/2 -15/41 5/9 -34/93 3/5 -53/145 5/9 -19/52 4/7 3/5 -4/11 1/1 -17/47 1/1 -13/36 1/2 5/9 -9/25 3/5 -23/64 2/3 7/10 -14/39 1/1 -5/14 3/4 1/1 -16/45 1/1 -11/31 1/1 -17/48 2/1 1/0 -6/17 1/1 -13/37 1/3 -7/20 1/2 1/1 -8/23 1/1 -1/3 1/1 -5/16 1/2 2/3 -4/13 1/1 -15/49 1/1 -26/85 7/3 -11/36 2/1 1/0 -18/59 3/1 -7/23 1/1 -10/33 3/1 -3/10 0/1 1/0 -5/17 1/3 -12/41 1/3 -7/24 0/1 1/4 -16/55 1/3 -9/31 3/7 -2/7 1/1 -9/32 1/1 1/0 -7/25 1/1 -5/18 1/1 1/0 -8/29 -3/1 -3/11 -1/1 -7/26 0/1 -11/41 1/9 -15/56 0/1 1/6 -19/71 1/7 -4/15 1/5 -9/34 0/1 1/2 -5/19 1/3 -6/23 1/3 -7/27 1/1 -1/4 0/1 1/1 -5/21 1/7 -4/17 1/3 -15/64 1/4 1/3 -11/47 1/3 -7/30 1/4 1/3 -10/43 1/3 -13/56 1/3 4/11 -3/13 1/3 -5/22 0/1 1/2 -2/9 1/1 -9/41 1/1 -7/32 1/2 2/3 -12/55 1/1 -5/23 1/1 -13/60 8/9 1/1 -8/37 1/1 -3/14 0/1 1/0 -10/47 1/1 -7/33 -1/1 -4/19 -1/1 -5/24 0/1 -6/29 1/5 -1/5 1/3 -5/26 6/13 1/2 -4/21 5/9 -3/16 1/2 1/1 -2/11 1/1 -5/28 1/3 1/2 -3/17 1/1 -1/6 0/1 1/2 -2/13 5/9 -1/7 1/1 -1/8 0/1 1/2 -2/17 3/7 -3/26 1/2 7/13 -1/9 3/5 -2/19 5/7 -1/10 3/4 1/1 0/1 1/1 1/10 0/1 1/0 1/9 1/1 2/17 1/1 1/8 1/1 3/2 2/15 5/3 1/7 3/1 1/6 0/1 1/0 3/17 1/1 5/28 1/1 2/1 2/11 1/1 3/16 1/1 1/5 1/1 5/24 2/1 3/1 4/19 3/1 3/14 2/1 1/0 5/23 3/1 2/9 5/1 7/31 1/0 5/22 -9/1 1/0 13/57 -5/1 8/35 -5/1 3/13 -1/1 4/17 1/1 1/4 0/1 1/0 5/19 -1/1 4/15 0/1 11/41 1/1 7/26 0/1 1/1 17/63 1/1 10/37 1/1 13/48 0/1 1/0 3/11 1/1 11/40 0/1 1/0 8/29 1/1 21/76 4/3 3/2 13/47 1/1 5/18 -1/1 1/0 17/61 -1/1 12/43 1/1 7/25 -1/1 2/7 1/1 9/31 1/1 7/24 2/1 1/0 12/41 3/1 17/58 2/1 1/0 5/17 3/1 13/44 1/0 21/71 -3/1 8/27 -1/1 3/10 1/1 1/0 1/3 -1/1 5/14 0/1 9/25 1/5 13/36 1/5 1/4 4/11 1/3 15/41 1/1 41/112 0/1 1/0 26/71 1/1 11/30 0/1 1/0 18/49 1/3 7/19 1/3 17/46 1/2 3/5 27/73 1/1 10/27 1/1 3/8 0/1 1/2 5/13 1/1 22/57 1/1 17/44 3/2 2/1 12/31 1/1 31/80 3/2 2/1 19/49 3/1 7/18 2/1 1/0 9/23 1/1 11/28 1/1 1/0 13/33 1/1 2/5 1/1 11/27 1/0 9/22 -4/1 1/0 25/61 -3/1 16/39 -1/1 7/17 -1/1 12/29 -3/1 5/12 0/1 1/0 23/55 -1/1 18/43 -1/1 13/31 1/1 8/19 -3/1 19/45 -1/1 11/26 -1/1 1/0 3/7 -1/1 7/16 -1/1 -1/2 11/25 -1/1 15/34 -1/1 -1/2 4/9 -1/1 13/29 -1/3 9/20 -2/5 -1/3 14/31 -1/5 5/11 -1/5 6/13 0/1 7/15 1/7 1/2 0/1 1/1 8/15 1/1 15/28 1/1 2/1 7/13 1/1 6/11 -1/1 11/20 2/1 1/0 5/9 -1/1 14/25 -1/1 37/66 -1/2 -1/3 23/41 -1/1 55/98 -1/2 0/1 32/57 -1/3 41/73 0/1 9/16 0/1 1/0 22/39 1/1 13/23 -1/1 17/30 -4/3 -1/1 4/7 -1/3 7/12 0/1 10/17 1/7 13/22 0/1 1/6 16/27 1/5 19/32 0/1 1/4 22/37 1/7 3/5 1/3 17/28 0/1 1/4 31/51 1/3 14/23 1/3 11/18 1/3 2/5 41/67 5/13 30/49 7/17 19/31 3/7 8/13 3/7 13/21 3/5 5/8 1/2 1/1 17/27 3/5 12/19 3/5 43/68 2/3 3/4 31/49 1/1 50/79 5/7 19/30 3/4 1/1 7/11 1/1 37/58 1/1 30/47 1/1 23/36 2/1 1/0 16/25 -1/1 9/14 1/2 1/1 11/17 1/1 2/3 1/1 11/16 5/1 1/0 9/13 -3/1 34/49 -3/1 25/36 -2/1 -3/2 16/23 -1/1 7/10 -1/2 0/1 26/37 1/1 19/27 -1/1 31/44 0/1 1/0 74/105 -1/1 43/61 1/1 12/17 -1/1 29/41 -1/3 17/24 0/1 1/2 5/7 -1/1 18/25 -1/3 49/68 -1/2 0/1 80/111 -1/1 31/43 -1/3 13/18 -1/4 0/1 8/11 0/1 19/26 0/1 1/8 49/67 1/7 79/108 0/1 1/6 30/41 1/7 41/56 2/13 1/6 11/15 1/5 3/4 0/1 1/2 13/17 3/7 10/13 3/5 17/22 1/2 1/1 41/53 1/1 24/31 1/3 7/9 1/1 18/23 3/5 29/37 3/5 40/51 1/1 11/14 1/2 2/3 15/19 1/1 49/62 2/3 3/4 83/105 5/7 34/43 1/1 19/24 2/3 1/1 23/29 1/1 4/5 1/1 9/11 1/1 5/6 2/1 1/0 11/13 1/1 6/7 -1/1 19/22 0/1 1/2 13/15 1/1 7/8 0/1 1/0 15/17 1/1 8/9 1/1 9/10 0/1 10/11 1/3 1/1 1/1 7/6 1/1 1/0 27/23 -3/1 20/17 -1/1 33/28 0/1 1/0 13/11 -1/1 6/5 1/1 11/9 1/1 27/22 3/4 1/1 43/35 1/1 16/13 1/1 21/17 1/1 26/21 1/1 5/4 1/1 3/2 9/7 3/1 22/17 3/1 35/27 3/1 13/10 5/1 1/0 43/33 1/0 73/56 -15/1 1/0 30/23 -5/1 17/13 1/1 4/3 1/1 11/8 1/0 18/13 -5/1 61/44 -10/3 -3/1 43/31 -3/1 25/18 -3/1 -2/1 32/23 -3/1 7/5 -1/1 31/22 -1/1 1/0 24/17 -1/3 89/63 0/1 65/46 0/1 1/8 41/29 1/3 58/41 1/1 17/12 0/1 1/1 61/43 1/1 44/31 1/1 27/19 1/1 10/7 -1/1 33/23 1/1 56/39 1/0 79/55 1/1 23/16 1/1 1/0 13/9 1/1 29/20 9/1 1/0 45/31 1/0 16/11 -5/1 3/2 0/1 1/0 23/15 0/1 43/28 0/1 1/2 20/13 1/1 37/24 0/1 1/0 17/11 1/1 48/31 1/1 31/20 0/1 1/0 14/9 -1/1 39/25 -1/1 25/16 0/1 1/2 11/7 1/1 30/19 1/1 49/31 1/1 68/43 1/1 87/55 1/1 19/12 0/1 1/0 65/41 1/1 46/29 1/1 119/75 1/1 73/46 0/1 1/1 27/17 1/1 35/22 1/1 8/5 1/1 37/23 7/3 29/18 3/1 4/1 108/67 3/1 79/49 5/1 50/31 3/1 71/44 3/1 1/0 92/57 3/1 21/13 3/1 34/21 9/1 47/29 1/0 60/37 -13/1 13/8 -2/1 1/0 31/19 1/1 111/68 -1/1 1/0 80/49 1/1 49/30 0/1 1/1 67/41 1/1 85/52 0/1 1/0 18/11 1/1 59/36 1/0 100/61 -1/1 41/25 1/1 23/14 1/1 1/0 74/45 1/1 51/31 1/1 28/17 1/1 5/3 1/1 32/19 3/1 27/16 3/1 4/1 49/29 3/1 120/71 5/1 191/113 1/0 71/42 3/1 1/0 22/13 3/1 39/23 5/1 95/56 4/1 1/0 56/33 5/1 17/10 5/1 1/0 12/7 1/0 31/18 -9/1 1/0 112/65 -9/1 81/47 -9/1 50/29 -7/1 19/11 -5/1 7/4 -2/1 1/0 23/13 -1/1 39/22 0/1 1/0 16/9 1/1 25/14 -1/1 1/0 34/19 -3/1 9/5 -1/1 29/16 2/1 1/0 49/27 1/0 20/11 -3/1 11/6 -2/1 1/0 24/13 -1/1 37/20 -1/1 13/7 -1/1 15/8 -1/1 -1/2 17/9 -1/1 2/1 1/1 13/6 1/0 24/11 -5/1 11/5 -3/1 64/29 -1/1 53/24 -2/1 1/0 95/43 -1/1 42/19 -3/1 73/33 -1/1 31/14 -2/1 1/0 51/23 -1/1 20/9 -1/1 9/4 -1/1 1/0 25/11 -1/1 66/29 1/0 107/47 -3/1 41/18 -2/1 1/0 16/7 -1/1 23/10 -4/3 -1/1 53/23 -1/1 83/36 -1/1 -10/11 30/13 -1/1 7/3 -1/1 40/17 -1/1 73/31 -1/1 33/14 -1/1 -4/5 26/11 -1/1 71/30 -3/4 -2/3 187/79 -2/3 116/49 -3/5 45/19 -1/1 64/27 -1/1 19/8 -3/5 -1/2 50/21 -1/3 81/34 -1/2 -1/3 31/13 -1/3 74/31 -1/3 117/49 -1/3 43/18 -1/2 0/1 55/23 -1/3 12/5 -1/3 53/22 -1/2 0/1 147/61 -1/1 94/39 -1/2 41/17 -1/3 29/12 -1/2 0/1 46/19 -1/1 17/7 -1/3 56/23 -1/5 39/16 -1/6 0/1 61/25 -1/7 83/34 -1/6 0/1 22/9 -1/9 27/11 0/1 32/13 1/13 5/2 0/1 1/2 23/9 1/1 41/16 1/1 59/23 1/1 18/7 1/1 31/12 2/3 1/1 44/17 1/1 101/39 1/1 57/22 0/1 1/1 13/5 1/1 34/13 1/1 55/21 1/1 76/29 1/1 21/8 1/1 6/5 50/19 7/5 79/30 1/1 2/1 29/11 1/1 95/36 3/2 2/1 66/25 5/3 37/14 3/2 2/1 8/3 3/1 35/13 1/1 62/23 1/1 27/10 1/1 1/0 46/17 3/1 111/41 1/0 65/24 -3/1 1/0 19/7 1/1 68/25 -1/1 49/18 1/1 1/0 79/29 1/1 109/40 0/1 1/1 30/11 1/1 101/37 -1/1 71/26 0/1 1/2 112/41 1/1 153/56 1/1 41/15 1/1 52/19 1/1 11/4 2/1 1/0 25/9 5/1 14/5 1/0 31/11 -5/1 48/17 -5/1 113/40 -4/1 1/0 65/23 -3/1 17/6 -3/1 1/0 37/13 -3/1 20/7 -1/1 23/8 0/1 1/0 3/1 -1/1 19/6 -1/2 0/1 35/11 -1/1 16/5 -1/5 29/9 0/1 42/13 1/13 13/4 0/1 1/4 23/7 1/3 56/17 1/1 145/44 1/2 1/1 379/115 1/2 234/71 3/5 89/27 1/1 33/10 2/3 1/1 10/3 1/1 47/14 0/1 1/0 84/25 -1/1 37/11 -1/1 101/30 -1/2 0/1 64/19 1/1 27/8 -1/2 0/1 71/21 -1/7 44/13 0/1 17/5 1/3 7/2 1/1 1/0 46/13 3/1 39/11 1/1 32/9 1/1 89/25 1/1 146/41 1/1 57/16 1/1 2/1 82/23 1/1 25/7 1/1 93/26 1/1 2/1 68/19 3/1 43/12 2/1 1/0 147/41 3/1 104/29 1/0 61/17 1/1 18/5 3/1 47/13 1/1 29/8 1/1 1/0 69/19 1/1 109/30 5/1 1/0 149/41 1/0 40/11 -1/1 11/3 1/1 15/4 1/0 19/5 -3/1 80/21 -3/1 61/16 -2/1 1/0 42/11 -1/1 23/6 -2/1 -1/1 27/7 -1/1 31/8 -1/1 1/0 4/1 -1/1 21/5 1/1 17/4 -2/1 1/0 64/15 -1/1 47/11 -1/1 77/18 -1/1 30/7 -1/1 13/3 -1/1 61/14 -1/2 0/1 48/11 -1/3 35/8 -1/3 0/1 92/21 -1/3 57/13 -1/3 79/18 -1/4 0/1 101/23 -1/3 22/5 -1/5 31/7 0/1 40/9 1/9 9/2 0/1 1/2 32/7 1/1 55/12 3/4 1/1 78/17 1/1 23/5 1/1 60/13 1/1 157/34 1/1 1/0 97/21 1/1 37/8 2/1 1/0 14/3 -1/1 47/10 0/1 80/17 1/1 33/7 1/1 19/4 1/1 1/0 24/5 -1/1 29/6 -1/4 0/1 63/13 0/1 34/7 1/7 5/1 1/1 21/4 2/1 1/0 16/3 1/0 43/8 -4/1 1/0 27/5 -3/1 11/2 -1/1 1/0 17/3 -1/1 40/7 -1/1 63/11 -1/1 23/4 -1/1 -1/2 29/5 -1/1 64/11 -1/1 35/6 -1/2 0/1 6/1 1/1 25/4 -1/1 -2/3 19/3 1/1 32/5 -1/1 45/7 -1/1 13/2 -1/2 0/1 33/5 0/1 53/8 0/1 1/8 20/3 1/3 27/4 0/1 1/2 7/1 1/1 15/2 0/1 1/2 8/1 1/1 17/2 1/0 26/3 -1/1 9/1 -1/1 19/2 0/1 1/0 10/1 1/1 11/1 -1/1 12/1 1/1 1/0 0/1 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(503,236,714,335) (-1/2,-7/15) -> (19/27,31/44) Hyperbolic Matrix(3769,1754,1704,793) (-7/15,-20/43) -> (42/19,73/33) Hyperbolic Matrix(2839,1320,428,199) (-20/43,-13/28) -> (53/8,20/3) Hyperbolic Matrix(1277,592,1840,853) (-13/28,-6/13) -> (34/49,25/36) Hyperbolic Matrix(353,162,560,257) (-6/13,-5/11) -> (17/27,12/19) Hyperbolic Matrix(349,158,1248,565) (-5/11,-14/31) -> (12/43,7/25) Hyperbolic Matrix(1591,718,3880,1751) (-14/31,-23/51) -> (25/61,16/39) Hyperbolic Matrix(71,32,690,311) (-23/51,-9/20) -> (1/10,1/9) Hyperbolic Matrix(1241,558,278,125) (-9/20,-22/49) -> (40/9,9/2) Hyperbolic Matrix(9861,4426,2756,1237) (-22/49,-35/78) -> (93/26,68/19) Hyperbolic Matrix(4685,2102,-12818,-5751) (-35/78,-13/29) -> (-53/145,-19/52) Hyperbolic Matrix(1103,494,3990,1787) (-13/29,-17/38) -> (21/76,13/47) Hyperbolic Matrix(1509,674,2062,921) (-17/38,-4/9) -> (30/41,41/56) Hyperbolic Matrix(1019,450,-2312,-1021) (-4/9,-15/34) -> (-15/34,-26/59) Parabolic Matrix(5911,2604,3666,1615) (-26/59,-11/25) -> (79/49,50/31) Hyperbolic Matrix(1219,536,680,299) (-11/25,-18/41) -> (34/19,9/5) Hyperbolic Matrix(10363,4548,3926,1723) (-18/41,-43/98) -> (95/36,66/25) Hyperbolic Matrix(10089,4426,2300,1009) (-43/98,-25/57) -> (57/13,79/18) Hyperbolic Matrix(4057,1778,1490,653) (-25/57,-7/16) -> (49/18,79/29) Hyperbolic Matrix(339,148,-946,-413) (-7/16,-10/23) -> (-14/39,-5/14) Hyperbolic Matrix(941,408,1340,581) (-10/23,-13/30) -> (7/10,26/37) Hyperbolic Matrix(1741,754,538,233) (-13/30,-16/37) -> (42/13,13/4) Hyperbolic Matrix(737,318,-2408,-1039) (-16/37,-3/7) -> (-15/49,-26/85) Hyperbolic Matrix(727,308,262,111) (-3/7,-11/26) -> (11/4,25/9) Hyperbolic Matrix(1779,752,4606,1947) (-11/26,-30/71) -> (22/57,17/44) Hyperbolic Matrix(4209,1778,1186,501) (-30/71,-19/45) -> (39/11,32/9) Hyperbolic Matrix(721,304,1710,721) (-19/45,-8/19) -> (8/19,19/45) Hyperbolic Matrix(523,220,920,387) (-8/19,-21/50) -> (17/30,4/7) Hyperbolic Matrix(653,274,-3010,-1263) (-21/50,-13/31) -> (-5/23,-13/60) Hyperbolic Matrix(67,28,390,163) (-13/31,-5/12) -> (1/6,3/17) Hyperbolic Matrix(649,270,262,109) (-5/12,-22/53) -> (32/13,5/2) Hyperbolic Matrix(11369,4718,3376,1401) (-22/53,-39/94) -> (101/30,64/19) Hyperbolic Matrix(12405,5146,4544,1885) (-39/94,-17/41) -> (101/37,71/26) Hyperbolic Matrix(1945,806,-7266,-3011) (-17/41,-29/70) -> (-15/56,-19/71) Hyperbolic Matrix(2139,886,5840,2419) (-29/70,-12/29) -> (26/71,11/30) Hyperbolic Matrix(1035,428,1168,483) (-12/29,-31/75) -> (15/17,8/9) Hyperbolic Matrix(973,402,4272,1765) (-31/75,-19/46) -> (5/22,13/57) Hyperbolic Matrix(2975,1228,5308,2191) (-19/46,-26/63) -> (14/25,37/66) Hyperbolic Matrix(4591,1894,3236,1335) (-26/63,-7/17) -> (61/43,44/31) Hyperbolic Matrix(389,160,-1680,-691) (-7/17,-23/56) -> (-13/56,-3/13) Hyperbolic Matrix(1033,424,1932,793) (-23/56,-16/39) -> (8/15,15/28) Hyperbolic Matrix(449,184,-1286,-527) (-16/39,-9/22) -> (-7/20,-8/23) Hyperbolic Matrix(191,78,644,263) (-9/22,-2/5) -> (8/27,3/10) Hyperbolic Matrix(311,122,752,295) (-2/5,-9/23) -> (7/17,12/29) Hyperbolic Matrix(313,122,372,145) (-9/23,-7/18) -> (5/6,11/13) Hyperbolic Matrix(433,168,250,97) (-7/18,-5/13) -> (19/11,7/4) Hyperbolic Matrix(923,354,2344,899) (-5/13,-23/60) -> (11/28,13/33) Hyperbolic Matrix(4989,1912,1850,709) (-23/60,-18/47) -> (62/23,27/10) Hyperbolic Matrix(13175,5044,3696,1415) (-18/47,-49/128) -> (57/16,82/23) Hyperbolic Matrix(17545,6716,6774,2593) (-49/128,-31/81) -> (101/39,57/22) Hyperbolic Matrix(3695,1414,5046,1931) (-31/81,-13/34) -> (41/56,11/15) Hyperbolic Matrix(309,118,-1600,-611) (-13/34,-21/55) -> (-1/5,-5/26) Hyperbolic Matrix(493,188,1104,421) (-21/55,-8/21) -> (4/9,13/29) Hyperbolic Matrix(2517,958,980,373) (-8/21,-27/71) -> (59/23,18/7) Hyperbolic Matrix(2757,1048,4538,1725) (-27/71,-19/50) -> (17/28,31/51) Hyperbolic Matrix(1043,396,-2942,-1117) (-19/50,-11/29) -> (-11/31,-17/48) Hyperbolic Matrix(671,254,1836,695) (-11/29,-14/37) -> (4/11,15/41) Hyperbolic Matrix(2873,1086,3664,1385) (-14/37,-17/45) -> (29/37,40/51) Hyperbolic Matrix(5741,2168,1708,645) (-17/45,-20/53) -> (84/25,37/11) Hyperbolic Matrix(2439,920,1588,599) (-20/53,-3/8) -> (43/28,20/13) Hyperbolic Matrix(59,22,244,91) (-3/8,-10/27) -> (4/17,1/4) Hyperbolic Matrix(665,246,1084,401) (-10/27,-7/19) -> (19/31,8/13) Hyperbolic Matrix(659,242,-1800,-661) (-7/19,-11/30) -> (-11/30,-15/41) Parabolic Matrix(5513,2016,1556,569) (-15/41,-34/93) -> (46/13,39/11) Hyperbolic Matrix(10303,3766,4670,1707) (-34/93,-53/145) -> (11/5,64/29) Hyperbolic Matrix(3469,1266,1318,481) (-19/52,-4/11) -> (50/19,79/30) Hyperbolic Matrix(237,86,598,217) (-4/11,-17/47) -> (13/33,2/5) Hyperbolic Matrix(177,64,-1546,-559) (-17/47,-13/36) -> (-3/26,-1/9) Hyperbolic Matrix(593,214,2142,773) (-13/36,-9/25) -> (13/47,5/18) Hyperbolic Matrix(5219,1876,1544,555) (-9/25,-23/64) -> (27/8,71/21) Hyperbolic Matrix(1125,404,1306,469) (-23/64,-14/39) -> (6/7,19/22) Hyperbolic Matrix(589,210,474,169) (-5/14,-16/45) -> (26/21,5/4) Hyperbolic Matrix(2005,712,352,125) (-16/45,-11/31) -> (17/3,40/7) Hyperbolic Matrix(1351,478,472,167) (-17/48,-6/17) -> (20/7,23/8) Hyperbolic Matrix(471,166,-1762,-621) (-6/17,-13/37) -> (-19/71,-4/15) Hyperbolic Matrix(1169,410,3162,1109) (-13/37,-7/20) -> (17/46,27/73) Hyperbolic Matrix(583,202,1394,483) (-8/23,-1/3) -> (23/55,18/43) Hyperbolic Matrix(389,122,220,69) (-1/3,-5/16) -> (7/4,23/13) Hyperbolic Matrix(167,52,-774,-241) (-5/16,-4/13) -> (-8/37,-3/14) Hyperbolic Matrix(711,218,2632,807) (-4/13,-15/49) -> (17/63,10/37) Hyperbolic Matrix(2407,736,4052,1239) (-26/85,-11/36) -> (19/32,22/37) Hyperbolic Matrix(3557,1086,2296,701) (-11/36,-18/59) -> (48/31,31/20) Hyperbolic Matrix(1423,434,4810,1467) (-18/59,-7/23) -> (21/71,8/27) Hyperbolic Matrix(1965,596,544,165) (-7/23,-10/33) -> (18/5,47/13) Hyperbolic Matrix(53,16,-434,-131) (-10/33,-3/10) -> (-1/8,-2/17) Hyperbolic Matrix(161,48,218,65) (-3/10,-5/17) -> (11/15,3/4) Hyperbolic Matrix(593,174,1612,473) (-5/17,-12/41) -> (18/49,7/19) Hyperbolic Matrix(807,236,106,31) (-12/41,-7/24) -> (15/2,8/1) Hyperbolic Matrix(1985,578,3108,905) (-7/24,-16/55) -> (30/47,23/36) Hyperbolic Matrix(2037,592,320,93) (-16/55,-9/31) -> (19/3,32/5) Hyperbolic Matrix(269,78,1176,341) (-9/31,-2/7) -> (8/35,3/13) Hyperbolic Matrix(369,104,-1586,-447) (-2/7,-9/32) -> (-7/30,-10/43) Hyperbolic Matrix(791,222,424,119) (-9/32,-7/25) -> (13/7,15/8) Hyperbolic Matrix(581,162,104,29) (-7/25,-5/18) -> (11/2,17/3) Hyperbolic Matrix(159,44,-842,-233) (-5/18,-8/29) -> (-4/21,-3/16) Hyperbolic Matrix(893,246,628,173) (-8/29,-3/11) -> (27/19,10/7) Hyperbolic Matrix(363,98,-1352,-365) (-3/11,-7/26) -> (-7/26,-11/41) Parabolic Matrix(2335,626,6024,1615) (-11/41,-15/56) -> (31/80,19/49) Hyperbolic Matrix(827,220,312,83) (-4/15,-9/34) -> (37/14,8/3) Hyperbolic Matrix(311,82,1134,299) (-9/34,-5/19) -> (3/11,11/40) Hyperbolic Matrix(465,122,1132,297) (-5/19,-6/23) -> (16/39,7/17) Hyperbolic Matrix(1591,414,2056,535) (-6/23,-7/27) -> (41/53,24/31) Hyperbolic Matrix(1591,412,614,159) (-7/27,-1/4) -> (57/22,13/5) Hyperbolic Matrix(49,12,102,25) (-1/4,-5/21) -> (7/15,1/2) Hyperbolic Matrix(797,188,496,117) (-5/21,-4/17) -> (8/5,37/23) Hyperbolic Matrix(7695,1804,4466,1047) (-4/17,-15/64) -> (31/18,112/65) Hyperbolic Matrix(5113,1198,892,209) (-15/64,-11/47) -> (63/11,23/4) Hyperbolic Matrix(745,174,2676,625) (-11/47,-7/30) -> (5/18,17/61) Hyperbolic Matrix(5249,1220,2276,529) (-10/43,-13/56) -> (83/36,30/13) Hyperbolic Matrix(149,34,688,157) (-3/13,-5/22) -> (3/14,5/23) Hyperbolic Matrix(539,122,296,67) (-5/22,-2/9) -> (20/11,11/6) Hyperbolic Matrix(1607,354,976,215) (-2/9,-9/41) -> (51/31,28/17) Hyperbolic Matrix(2627,576,488,107) (-9/41,-7/32) -> (43/8,27/5) Hyperbolic Matrix(1557,340,2624,573) (-7/32,-12/55) -> (16/27,19/32) Hyperbolic Matrix(3451,752,1262,275) (-12/55,-5/23) -> (41/15,52/19) Hyperbolic Matrix(5337,1156,2036,441) (-13/60,-8/37) -> (76/29,21/8) Hyperbolic Matrix(47,10,484,103) (-3/14,-10/47) -> (0/1,1/10) Hyperbolic Matrix(1929,410,1642,349) (-10/47,-7/33) -> (27/23,20/17) Hyperbolic Matrix(1203,254,772,163) (-7/33,-4/19) -> (14/9,39/25) Hyperbolic Matrix(239,50,-1152,-241) (-4/19,-5/24) -> (-5/24,-6/29) Parabolic Matrix(1149,236,1816,373) (-6/29,-1/5) -> (31/49,50/79) Hyperbolic Matrix(1833,352,1130,217) (-5/26,-4/21) -> (60/37,13/8) Hyperbolic Matrix(419,78,188,35) (-3/16,-2/11) -> (20/9,9/4) Hyperbolic Matrix(881,158,184,33) (-2/11,-5/28) -> (19/4,24/5) Hyperbolic Matrix(1201,214,926,165) (-5/28,-3/17) -> (35/27,13/10) Hyperbolic Matrix(47,8,182,31) (-3/17,-1/6) -> (1/4,5/19) Hyperbolic Matrix(135,22,92,15) (-1/6,-2/13) -> (16/11,3/2) Hyperbolic Matrix(225,34,536,81) (-2/13,-1/7) -> (13/31,8/19) Hyperbolic Matrix(219,28,86,11) (-1/7,-1/8) -> (5/2,23/9) Hyperbolic Matrix(2021,236,1550,181) (-2/17,-3/26) -> (73/56,30/23) Hyperbolic Matrix(255,28,428,47) (-1/9,-2/19) -> (22/37,3/5) Hyperbolic Matrix(593,60,168,17) (-2/19,-1/10) -> (7/2,46/13) Hyperbolic Matrix(375,32,82,7) (-1/10,0/1) -> (32/7,55/12) Hyperbolic Matrix(1601,-186,680,-79) (1/9,2/17) -> (40/17,73/31) Hyperbolic Matrix(1559,-188,340,-41) (2/17,1/8) -> (55/12,78/17) Hyperbolic Matrix(1279,-166,470,-61) (1/8,2/15) -> (68/25,49/18) Hyperbolic Matrix(637,-86,200,-27) (2/15,1/7) -> (35/11,16/5) Hyperbolic Matrix(99,-16,130,-21) (1/7,1/6) -> (3/4,13/17) Hyperbolic Matrix(451,-80,840,-149) (3/17,5/28) -> (15/28,7/13) Hyperbolic Matrix(1193,-214,708,-127) (5/28,2/11) -> (32/19,27/16) Hyperbolic Matrix(513,-94,322,-59) (2/11,3/16) -> (35/22,8/5) Hyperbolic Matrix(607,-116,382,-73) (3/16,1/5) -> (27/17,35/22) Hyperbolic Matrix(1039,-216,1698,-353) (1/5,5/24) -> (11/18,41/67) Hyperbolic Matrix(1445,-302,378,-79) (5/24,4/19) -> (42/11,23/6) Hyperbolic Matrix(1003,-212,440,-93) (4/19,3/14) -> (41/18,16/7) Hyperbolic Matrix(499,-110,186,-41) (5/23,2/9) -> (8/3,35/13) Hyperbolic Matrix(901,-202,620,-139) (2/9,7/31) -> (45/31,16/11) Hyperbolic Matrix(1889,-428,1302,-295) (7/31,5/22) -> (29/20,45/31) Hyperbolic Matrix(6003,-1370,3650,-833) (13/57,8/35) -> (74/45,51/31) Hyperbolic Matrix(431,-100,556,-129) (3/13,4/17) -> (24/31,7/9) Hyperbolic Matrix(241,-64,900,-239) (5/19,4/15) -> (4/15,11/41) Parabolic Matrix(1377,-370,1738,-467) (11/41,7/26) -> (19/24,23/29) Hyperbolic Matrix(7693,-2074,4848,-1307) (7/26,17/63) -> (119/75,73/46) Hyperbolic Matrix(4009,-1084,2452,-663) (10/37,13/48) -> (85/52,18/11) Hyperbolic Matrix(2303,-624,358,-97) (13/48,3/11) -> (45/7,13/2) Hyperbolic Matrix(3099,-854,1310,-361) (11/40,8/29) -> (26/11,71/30) Hyperbolic Matrix(10571,-2920,3870,-1069) (8/29,21/76) -> (71/26,112/41) Hyperbolic Matrix(653,-182,714,-199) (17/61,12/43) -> (10/11,1/1) Hyperbolic Matrix(503,-142,712,-201) (7/25,2/7) -> (12/17,29/41) Hyperbolic Matrix(797,-230,648,-187) (2/7,9/31) -> (43/35,16/13) Hyperbolic Matrix(1765,-514,2414,-703) (9/31,7/24) -> (19/26,49/67) Hyperbolic Matrix(1587,-464,236,-69) (7/24,12/41) -> (20/3,27/4) Hyperbolic Matrix(4937,-1446,1294,-379) (12/41,17/58) -> (61/16,42/11) Hyperbolic Matrix(1791,-526,412,-121) (17/58,5/17) -> (13/3,61/14) Hyperbolic Matrix(1145,-338,3872,-1143) (5/17,13/44) -> (13/44,21/71) Parabolic Matrix(145,-44,234,-71) (3/10,1/3) -> (13/21,5/8) Hyperbolic Matrix(141,-50,392,-139) (1/3,5/14) -> (5/14,9/25) Parabolic Matrix(1619,-584,280,-101) (9/25,13/36) -> (23/4,29/5) Hyperbolic Matrix(2513,-908,1060,-383) (13/36,4/11) -> (64/27,19/8) Hyperbolic Matrix(18637,-6822,7734,-2831) (15/41,41/112) -> (53/22,147/61) Hyperbolic Matrix(10931,-4002,4952,-1813) (41/112,26/71) -> (64/29,53/24) Hyperbolic Matrix(2141,-786,444,-163) (11/30,18/49) -> (24/5,29/6) Hyperbolic Matrix(2109,-778,778,-287) (7/19,17/46) -> (65/24,19/7) Hyperbolic Matrix(3551,-1314,554,-205) (27/73,10/27) -> (32/5,45/7) Hyperbolic Matrix(499,-186,110,-41) (10/27,3/8) -> (9/2,32/7) Hyperbolic Matrix(137,-52,166,-63) (3/8,5/13) -> (9/11,5/6) Hyperbolic Matrix(3511,-1354,822,-317) (5/13,22/57) -> (64/15,47/11) Hyperbolic Matrix(2027,-784,1316,-509) (17/44,12/31) -> (20/13,37/24) Hyperbolic Matrix(4849,-1878,6628,-2567) (12/31,31/80) -> (79/108,30/41) Hyperbolic Matrix(1561,-606,492,-191) (19/49,7/18) -> (19/6,35/11) Hyperbolic Matrix(573,-224,110,-43) (7/18,9/23) -> (5/1,21/4) Hyperbolic Matrix(2731,-1070,1146,-449) (9/23,11/28) -> (81/34,31/13) Hyperbolic Matrix(785,-318,432,-175) (2/5,11/27) -> (49/27,20/11) Hyperbolic Matrix(1861,-760,1026,-419) (11/27,9/22) -> (29/16,49/27) Hyperbolic Matrix(3073,-1258,1942,-795) (9/22,25/61) -> (87/55,19/12) Hyperbolic Matrix(859,-356,1344,-557) (12/29,5/12) -> (23/36,16/25) Hyperbolic Matrix(3539,-1478,1554,-649) (5/12,23/55) -> (107/47,41/18) Hyperbolic Matrix(3561,-1492,2518,-1055) (18/43,13/31) -> (41/29,58/41) Hyperbolic Matrix(3099,-1310,854,-361) (19/45,11/26) -> (29/8,69/19) Hyperbolic Matrix(1227,-520,748,-317) (11/26,3/7) -> (41/25,23/14) Hyperbolic Matrix(239,-104,370,-161) (3/7,7/16) -> (9/14,11/17) Hyperbolic Matrix(1003,-440,212,-93) (7/16,11/25) -> (33/7,19/4) Hyperbolic Matrix(2137,-942,1740,-767) (11/25,15/34) -> (27/22,43/35) Hyperbolic Matrix(2057,-908,1212,-535) (15/34,4/9) -> (56/33,17/10) Hyperbolic Matrix(1207,-542,314,-141) (13/29,9/20) -> (23/6,27/7) Hyperbolic Matrix(2251,-1016,1624,-733) (9/20,14/31) -> (18/13,61/44) Hyperbolic Matrix(653,-296,942,-427) (14/31,5/11) -> (9/13,34/49) Hyperbolic Matrix(705,-322,208,-95) (5/11,6/13) -> (44/13,17/5) Hyperbolic Matrix(1583,-734,468,-217) (6/13,7/15) -> (71/21,44/13) Hyperbolic Matrix(895,-472,548,-289) (1/2,8/15) -> (80/49,49/30) Hyperbolic Matrix(493,-268,344,-187) (7/13,6/11) -> (10/7,33/23) Hyperbolic Matrix(687,-376,148,-81) (6/11,11/20) -> (37/8,14/3) Hyperbolic Matrix(441,-244,244,-135) (11/20,5/9) -> (9/5,29/16) Hyperbolic Matrix(1073,-600,828,-463) (5/9,14/25) -> (22/17,35/27) Hyperbolic Matrix(6597,-3700,4042,-2267) (37/66,23/41) -> (31/19,111/68) Hyperbolic Matrix(11003,-6174,3894,-2185) (23/41,55/98) -> (113/40,65/23) Hyperbolic Matrix(11317,-6352,2970,-1667) (55/98,32/57) -> (80/21,61/16) Hyperbolic Matrix(19127,-10740,8080,-4537) (32/57,41/73) -> (187/79,116/49) Hyperbolic Matrix(8175,-4594,3454,-1941) (41/73,9/16) -> (71/30,187/79) Hyperbolic Matrix(1069,-602,1362,-767) (9/16,22/39) -> (40/51,11/14) Hyperbolic Matrix(2793,-1576,778,-439) (22/39,13/23) -> (61/17,18/5) Hyperbolic Matrix(2693,-1524,1942,-1099) (13/23,17/30) -> (61/44,43/31) Hyperbolic Matrix(169,-98,288,-167) (4/7,7/12) -> (7/12,10/17) Parabolic Matrix(1505,-888,622,-367) (10/17,13/22) -> (29/12,46/19) Hyperbolic Matrix(1719,-1018,2386,-1413) (13/22,16/27) -> (18/25,49/68) Hyperbolic Matrix(331,-200,48,-29) (3/5,17/28) -> (27/4,7/1) Hyperbolic Matrix(6003,-3650,1370,-833) (31/51,14/23) -> (92/21,57/13) Hyperbolic Matrix(1227,-748,520,-317) (14/23,11/18) -> (33/14,26/11) Hyperbolic Matrix(2523,-1544,518,-317) (41/67,30/49) -> (34/7,5/1) Hyperbolic Matrix(895,-548,472,-289) (30/49,19/31) -> (17/9,2/1) Hyperbolic Matrix(987,-610,610,-377) (8/13,13/21) -> (21/13,34/21) Hyperbolic Matrix(513,-322,94,-59) (5/8,17/27) -> (27/5,11/2) Hyperbolic Matrix(3073,-1942,1258,-795) (12/19,43/68) -> (83/34,22/9) Hyperbolic Matrix(3421,-2164,4330,-2739) (43/68,31/49) -> (15/19,49/62) Hyperbolic Matrix(11169,-7070,6842,-4331) (50/79,19/30) -> (111/68,80/49) Hyperbolic Matrix(627,-398,512,-325) (19/30,7/11) -> (11/9,27/22) Hyperbolic Matrix(4061,-2588,1486,-947) (7/11,37/58) -> (153/56,41/15) Hyperbolic Matrix(13687,-8734,5010,-3197) (37/58,30/47) -> (112/41,153/56) Hyperbolic Matrix(1111,-712,788,-505) (16/25,9/14) -> (31/22,24/17) Hyperbolic Matrix(531,-344,230,-149) (11/17,2/3) -> (30/13,7/3) Hyperbolic Matrix(857,-588,360,-247) (2/3,11/16) -> (19/8,50/21) Hyperbolic Matrix(585,-404,404,-279) (11/16,9/13) -> (13/9,29/20) Hyperbolic Matrix(1479,-1028,1256,-873) (25/36,16/23) -> (20/17,33/28) Hyperbolic Matrix(493,-344,268,-187) (16/23,7/10) -> (11/6,24/13) Hyperbolic Matrix(1049,-738,624,-439) (26/37,19/27) -> (5/3,32/19) Hyperbolic Matrix(13977,-9850,4948,-3487) (31/44,74/105) -> (48/17,113/40) Hyperbolic Matrix(11947,-8420,2720,-1917) (74/105,43/61) -> (101/23,22/5) Hyperbolic Matrix(6797,-4792,4146,-2923) (43/61,12/17) -> (100/61,41/25) Hyperbolic Matrix(3649,-2582,2582,-1827) (29/41,17/24) -> (65/46,41/29) Hyperbolic Matrix(1111,-788,712,-505) (17/24,5/7) -> (39/25,25/16) Hyperbolic Matrix(553,-398,132,-95) (5/7,18/25) -> (4/1,21/5) Hyperbolic Matrix(8237,-5936,1414,-1019) (49/68,80/111) -> (64/11,35/6) Hyperbolic Matrix(10599,-7640,6272,-4521) (80/111,31/43) -> (49/29,120/71) Hyperbolic Matrix(2251,-1624,1016,-733) (31/43,13/18) -> (31/14,51/23) Hyperbolic Matrix(353,-256,484,-351) (13/18,8/11) -> (8/11,19/26) Parabolic Matrix(12247,-8958,15494,-11333) (49/67,79/108) -> (49/62,83/105) Hyperbolic Matrix(731,-560,560,-429) (13/17,10/13) -> (30/23,17/13) Hyperbolic Matrix(1073,-828,600,-463) (10/13,17/22) -> (25/14,34/19) Hyperbolic Matrix(2957,-2286,2058,-1591) (17/22,41/53) -> (79/55,23/16) Hyperbolic Matrix(469,-366,214,-167) (7/9,18/23) -> (24/11,11/5) Hyperbolic Matrix(2749,-2154,596,-467) (18/23,29/37) -> (23/5,60/13) Hyperbolic Matrix(403,-318,128,-101) (11/14,15/19) -> (3/1,19/6) Hyperbolic Matrix(28397,-22448,8616,-6811) (83/105,34/43) -> (234/71,89/27) Hyperbolic Matrix(3713,-2938,848,-671) (34/43,19/24) -> (35/8,92/21) Hyperbolic Matrix(2731,-2170,1144,-909) (23/29,4/5) -> (74/31,117/49) Hyperbolic Matrix(439,-358,168,-137) (4/5,9/11) -> (13/5,34/13) Hyperbolic Matrix(597,-506,164,-139) (11/13,6/7) -> (40/11,11/3) Hyperbolic Matrix(2587,-2238,1060,-917) (19/22,13/15) -> (61/25,83/34) Hyperbolic Matrix(691,-600,448,-389) (13/15,7/8) -> (37/24,17/11) Hyperbolic Matrix(1981,-1744,1212,-1067) (7/8,15/17) -> (67/41,85/52) Hyperbolic Matrix(181,-162,200,-179) (8/9,9/10) -> (9/10,10/11) Parabolic Matrix(159,-184,70,-81) (1/1,7/6) -> (9/4,25/11) Hyperbolic Matrix(2921,-3426,804,-943) (7/6,27/23) -> (69/19,109/30) Hyperbolic Matrix(3749,-4420,1570,-1851) (33/28,13/11) -> (117/49,43/18) Hyperbolic Matrix(591,-700,244,-289) (13/11,6/5) -> (46/19,17/7) Hyperbolic Matrix(325,-396,206,-251) (6/5,11/9) -> (11/7,30/19) Hyperbolic Matrix(715,-882,578,-713) (16/13,21/17) -> (21/17,26/21) Parabolic Matrix(117,-148,34,-43) (5/4,9/7) -> (17/5,7/2) Hyperbolic Matrix(431,-556,100,-129) (9/7,22/17) -> (30/7,13/3) Hyperbolic Matrix(2839,-3698,2178,-2837) (13/10,43/33) -> (43/33,73/56) Parabolic Matrix(379,-496,230,-301) (17/13,4/3) -> (28/17,5/3) Hyperbolic Matrix(177,-242,128,-175) (4/3,11/8) -> (11/8,18/13) Parabolic Matrix(1719,-2386,1018,-1413) (43/31,25/18) -> (27/16,49/29) Hyperbolic Matrix(1669,-2320,382,-531) (25/18,32/23) -> (48/11,35/8) Hyperbolic Matrix(777,-1084,286,-399) (32/23,7/5) -> (19/7,68/25) Hyperbolic Matrix(899,-1266,316,-445) (7/5,31/22) -> (17/6,37/13) Hyperbolic Matrix(3213,-4538,662,-935) (24/17,89/63) -> (63/13,34/7) Hyperbolic Matrix(4725,-6676,976,-1379) (89/63,65/46) -> (29/6,63/13) Hyperbolic Matrix(2485,-3518,1542,-2183) (58/41,17/12) -> (29/18,108/67) Hyperbolic Matrix(2295,-3254,974,-1381) (17/12,61/43) -> (73/31,33/14) Hyperbolic Matrix(2889,-4102,1822,-2587) (44/31,27/19) -> (65/41,46/29) Hyperbolic Matrix(3761,-5398,1560,-2239) (33/23,56/39) -> (94/39,41/17) Hyperbolic Matrix(10903,-15658,4524,-6497) (56/39,79/55) -> (147/61,94/39) Hyperbolic Matrix(1013,-1458,280,-403) (23/16,13/9) -> (47/13,29/8) Hyperbolic Matrix(691,-1058,450,-689) (3/2,23/15) -> (23/15,43/28) Parabolic Matrix(3445,-5332,2178,-3371) (17/11,48/31) -> (68/43,87/55) Hyperbolic Matrix(1653,-2564,626,-971) (31/20,14/9) -> (66/25,37/14) Hyperbolic Matrix(859,-1344,356,-557) (25/16,11/7) -> (41/17,29/12) Hyperbolic Matrix(2077,-3282,736,-1163) (30/19,49/31) -> (31/11,48/17) Hyperbolic Matrix(3755,-5936,2326,-3677) (49/31,68/43) -> (92/57,21/13) Hyperbolic Matrix(2147,-3402,970,-1537) (19/12,65/41) -> (73/33,31/14) Hyperbolic Matrix(5641,-8950,970,-1539) (46/29,119/75) -> (29/5,64/11) Hyperbolic Matrix(2731,-4336,764,-1213) (73/46,27/17) -> (25/7,93/26) Hyperbolic Matrix(917,-1476,146,-235) (37/23,29/18) -> (25/4,19/3) Hyperbolic Matrix(8423,-13578,3812,-6145) (108/67,79/49) -> (95/43,42/19) Hyperbolic Matrix(3969,-6404,2414,-3895) (50/31,71/44) -> (23/14,74/45) Hyperbolic Matrix(10729,-17316,3256,-5255) (71/44,92/57) -> (56/17,145/44) Hyperbolic Matrix(2727,-4418,1682,-2725) (34/21,47/29) -> (47/29,60/37) Parabolic Matrix(491,-800,116,-189) (13/8,31/19) -> (21/5,17/4) Hyperbolic Matrix(6839,-11174,2510,-4101) (49/30,67/41) -> (79/29,109/40) Hyperbolic Matrix(4249,-6962,2592,-4247) (18/11,59/36) -> (59/36,100/61) Parabolic Matrix(53351,-90174,16188,-27361) (120/71,191/113) -> (379/115,234/71) Hyperbolic Matrix(32303,-54604,9802,-16569) (191/113,71/42) -> (145/44,379/115) Hyperbolic Matrix(4561,-7714,988,-1671) (71/42,22/13) -> (60/13,157/34) Hyperbolic Matrix(1509,-2558,620,-1051) (22/13,39/23) -> (17/7,56/23) Hyperbolic Matrix(6539,-11092,2960,-5021) (39/23,95/56) -> (53/24,95/43) Hyperbolic Matrix(705,-1196,56,-95) (95/56,56/33) -> (12/1,1/0) Hyperbolic Matrix(337,-576,196,-335) (17/10,12/7) -> (12/7,31/18) Parabolic Matrix(4995,-8608,1312,-2261) (112/65,81/47) -> (19/5,80/21) Hyperbolic Matrix(4339,-7480,1590,-2741) (81/47,50/29) -> (30/11,101/37) Hyperbolic Matrix(1283,-2214,390,-673) (50/29,19/11) -> (23/7,56/17) Hyperbolic Matrix(1769,-3134,740,-1311) (23/13,39/22) -> (43/18,55/23) Hyperbolic Matrix(643,-1142,192,-341) (39/22,16/9) -> (10/3,47/14) Hyperbolic Matrix(887,-1582,328,-585) (16/9,25/14) -> (27/10,46/17) Hyperbolic Matrix(1601,-2958,374,-691) (24/13,37/20) -> (77/18,30/7) Hyperbolic Matrix(1479,-2740,346,-641) (37/20,13/7) -> (47/11,77/18) Hyperbolic Matrix(673,-1264,238,-447) (15/8,17/9) -> (65/23,17/6) Hyperbolic Matrix(157,-338,72,-155) (2/1,13/6) -> (13/6,24/11) Parabolic Matrix(1487,-3300,260,-577) (51/23,20/9) -> (40/7,63/11) Hyperbolic Matrix(2913,-6626,812,-1847) (25/11,66/29) -> (104/29,61/17) Hyperbolic Matrix(9151,-20830,2552,-5809) (66/29,107/47) -> (147/41,104/29) Hyperbolic Matrix(657,-1508,254,-583) (16/7,23/10) -> (31/12,44/17) Hyperbolic Matrix(2439,-5618,1058,-2437) (23/10,53/23) -> (53/23,83/36) Parabolic Matrix(625,-1466,136,-319) (7/3,40/17) -> (78/17,23/5) Hyperbolic Matrix(767,-1816,68,-161) (116/49,45/19) -> (11/1,12/1) Hyperbolic Matrix(3563,-8444,1376,-3261) (45/19,64/27) -> (44/17,101/39) Hyperbolic Matrix(787,-1874,202,-481) (50/21,81/34) -> (31/8,4/1) Hyperbolic Matrix(1841,-4392,516,-1231) (31/13,74/31) -> (82/23,25/7) Hyperbolic Matrix(2005,-4796,426,-1019) (55/23,12/5) -> (80/17,33/7) Hyperbolic Matrix(1361,-3276,312,-751) (12/5,53/22) -> (61/14,48/11) Hyperbolic Matrix(1415,-3448,332,-809) (56/23,39/16) -> (17/4,64/15) Hyperbolic Matrix(619,-1510,66,-161) (39/16,61/25) -> (9/1,19/2) Hyperbolic Matrix(595,-1458,242,-593) (22/9,27/11) -> (27/11,32/13) Parabolic Matrix(1313,-3362,512,-1311) (23/9,41/16) -> (41/16,59/23) Parabolic Matrix(351,-904,106,-273) (18/7,31/12) -> (33/10,10/3) Hyperbolic Matrix(2311,-6050,882,-2309) (34/13,55/21) -> (55/21,76/29) Parabolic Matrix(523,-1376,84,-221) (21/8,50/19) -> (6/1,25/4) Hyperbolic Matrix(3033,-7988,920,-2423) (79/30,29/11) -> (89/27,33/10) Hyperbolic Matrix(5765,-15212,1608,-4243) (29/11,95/36) -> (43/12,147/41) Hyperbolic Matrix(545,-1468,62,-167) (35/13,62/23) -> (26/3,9/1) Hyperbolic Matrix(4173,-11294,1148,-3107) (46/17,111/41) -> (149/41,40/11) Hyperbolic Matrix(8045,-21784,2214,-5995) (111/41,65/24) -> (109/30,149/41) Hyperbolic Matrix(6467,-17624,1816,-4949) (109/40,30/11) -> (146/41,57/16) Hyperbolic Matrix(1229,-3368,366,-1003) (52/19,11/4) -> (47/14,84/25) Hyperbolic Matrix(281,-784,100,-279) (25/9,14/5) -> (14/5,31/11) Parabolic Matrix(207,-590,20,-57) (37/13,20/7) -> (10/1,11/1) Hyperbolic Matrix(813,-2342,176,-507) (23/8,3/1) -> (97/21,37/8) Hyperbolic Matrix(523,-1682,162,-521) (16/5,29/9) -> (29/9,42/13) Parabolic Matrix(133,-436,18,-59) (13/4,23/7) -> (7/1,15/2) Hyperbolic Matrix(3899,-13124,888,-2989) (37/11,101/30) -> (79/18,101/23) Hyperbolic Matrix(713,-2402,122,-411) (64/19,27/8) -> (35/6,6/1) Hyperbolic Matrix(4451,-15842,1250,-4449) (32/9,89/25) -> (89/25,146/41) Parabolic Matrix(481,-1722,50,-179) (68/19,43/12) -> (19/2,10/1) Hyperbolic Matrix(121,-450,32,-119) (11/3,15/4) -> (15/4,19/5) Parabolic Matrix(1875,-7246,406,-1569) (27/7,31/8) -> (157/34,97/21) Hyperbolic Matrix(435,-1922,98,-433) (22/5,31/7) -> (31/7,40/9) Parabolic Matrix(941,-4418,200,-939) (14/3,47/10) -> (47/10,80/17) Parabolic Matrix(193,-1024,36,-191) (21/4,16/3) -> (16/3,43/8) Parabolic Matrix(331,-2178,50,-329) (13/2,33/5) -> (33/5,53/8) Parabolic Matrix(69,-578,8,-67) (8/1,17/2) -> (17/2,26/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,2,1) Matrix(503,236,714,335) -> Matrix(1,0,-2,1) Matrix(3769,1754,1704,793) -> Matrix(1,-2,0,1) Matrix(2839,1320,428,199) -> Matrix(1,0,4,1) Matrix(1277,592,1840,853) -> Matrix(5,-2,-2,1) Matrix(353,162,560,257) -> Matrix(5,-2,8,-3) Matrix(349,158,1248,565) -> Matrix(1,0,-2,1) Matrix(1591,718,3880,1751) -> Matrix(5,-2,-2,1) Matrix(71,32,690,311) -> Matrix(1,0,0,1) Matrix(1241,558,278,125) -> Matrix(1,0,2,1) Matrix(9861,4426,2756,1237) -> Matrix(11,-2,6,-1) Matrix(4685,2102,-12818,-5751) -> Matrix(17,-4,30,-7) Matrix(1103,494,3990,1787) -> Matrix(7,-2,4,-1) Matrix(1509,674,2062,921) -> Matrix(1,0,4,1) Matrix(1019,450,-2312,-1021) -> Matrix(9,-4,16,-7) Matrix(5911,2604,3666,1615) -> Matrix(11,-6,2,-1) Matrix(1219,536,680,299) -> Matrix(1,0,-2,1) Matrix(10363,4548,3926,1723) -> Matrix(5,-4,4,-3) Matrix(10089,4426,2300,1009) -> Matrix(3,-2,-10,7) Matrix(4057,1778,1490,653) -> Matrix(3,-2,2,-1) Matrix(339,148,-946,-413) -> Matrix(1,-2,2,-3) Matrix(941,408,1340,581) -> Matrix(1,0,0,1) Matrix(1741,754,538,233) -> Matrix(1,0,6,1) Matrix(737,318,-2408,-1039) -> Matrix(7,-2,4,-1) Matrix(727,308,262,111) -> Matrix(7,-4,2,-1) Matrix(1779,752,4606,1947) -> Matrix(5,-4,4,-3) Matrix(4209,1778,1186,501) -> Matrix(3,-2,2,-1) Matrix(721,304,1710,721) -> Matrix(1,0,-2,1) Matrix(523,220,920,387) -> Matrix(3,-2,-4,3) Matrix(653,274,-3010,-1263) -> Matrix(1,-2,2,-3) Matrix(67,28,390,163) -> Matrix(1,0,0,1) Matrix(649,270,262,109) -> Matrix(1,0,2,1) Matrix(11369,4718,3376,1401) -> Matrix(1,0,-10,1) Matrix(12405,5146,4544,1885) -> Matrix(1,0,-6,1) Matrix(1945,806,-7266,-3011) -> Matrix(1,0,2,1) Matrix(2139,886,5840,2419) -> Matrix(1,0,-4,1) Matrix(1035,428,1168,483) -> Matrix(1,0,-4,1) Matrix(973,402,4272,1765) -> Matrix(25,-6,-4,1) Matrix(2975,1228,5308,2191) -> Matrix(7,-2,-10,3) Matrix(4591,1894,3236,1335) -> Matrix(13,-4,10,-3) Matrix(389,160,-1680,-691) -> Matrix(1,0,0,1) Matrix(1033,424,1932,793) -> Matrix(5,-2,8,-3) Matrix(449,184,-1286,-527) -> Matrix(5,-2,8,-3) Matrix(191,78,644,263) -> Matrix(1,0,-2,1) Matrix(311,122,752,295) -> Matrix(5,-2,-2,1) Matrix(313,122,372,145) -> Matrix(1,0,-2,1) Matrix(433,168,250,97) -> Matrix(9,-4,-2,1) Matrix(923,354,2344,899) -> Matrix(3,-2,2,-1) Matrix(4989,1912,1850,709) -> Matrix(3,-2,2,-1) Matrix(13175,5044,3696,1415) -> Matrix(3,-2,2,-1) Matrix(17545,6716,6774,2593) -> Matrix(1,0,0,1) Matrix(3695,1414,5046,1931) -> Matrix(1,0,4,1) Matrix(309,118,-1600,-611) -> Matrix(7,-4,16,-9) Matrix(493,188,1104,421) -> Matrix(3,-2,-4,3) Matrix(2517,958,980,373) -> Matrix(3,-2,2,-1) Matrix(2757,1048,4538,1725) -> Matrix(1,0,2,1) Matrix(1043,396,-2942,-1117) -> Matrix(3,-2,2,-1) Matrix(671,254,1836,695) -> Matrix(1,0,0,1) Matrix(2873,1086,3664,1385) -> Matrix(5,-2,8,-3) Matrix(5741,2168,1708,645) -> Matrix(1,0,-2,1) Matrix(2439,920,1588,599) -> Matrix(1,0,0,1) Matrix(59,22,244,91) -> Matrix(1,0,-2,1) Matrix(665,246,1084,401) -> Matrix(3,-2,8,-5) Matrix(659,242,-1800,-661) -> Matrix(13,-6,24,-11) Matrix(5513,2016,1556,569) -> Matrix(11,-6,2,-1) Matrix(10303,3766,4670,1707) -> Matrix(3,-2,2,-1) Matrix(3469,1266,1318,481) -> Matrix(17,-10,12,-7) Matrix(237,86,598,217) -> Matrix(3,-2,2,-1) Matrix(177,64,-1546,-559) -> Matrix(5,-2,8,-3) Matrix(593,214,2142,773) -> Matrix(7,-4,2,-1) Matrix(5219,1876,1544,555) -> Matrix(3,-2,-16,11) Matrix(1125,404,1306,469) -> Matrix(3,-2,-4,3) Matrix(589,210,474,169) -> Matrix(7,-6,6,-5) Matrix(2005,712,352,125) -> Matrix(1,-2,0,1) Matrix(1351,478,472,167) -> Matrix(1,-2,0,1) Matrix(471,166,-1762,-621) -> Matrix(1,0,4,1) Matrix(1169,410,3162,1109) -> Matrix(5,-2,8,-3) Matrix(583,202,1394,483) -> Matrix(1,0,-2,1) Matrix(389,122,220,69) -> Matrix(1,0,-2,1) Matrix(167,52,-774,-241) -> Matrix(3,-2,2,-1) Matrix(711,218,2632,807) -> Matrix(1,-2,2,-3) Matrix(2407,736,4052,1239) -> Matrix(1,-2,4,-7) Matrix(3557,1086,2296,701) -> Matrix(1,-2,0,1) Matrix(1423,434,4810,1467) -> Matrix(1,-4,0,1) Matrix(1965,596,544,165) -> Matrix(1,0,0,1) Matrix(53,16,-434,-131) -> Matrix(1,0,2,1) Matrix(161,48,218,65) -> Matrix(1,0,2,1) Matrix(593,174,1612,473) -> Matrix(1,0,0,1) Matrix(807,236,106,31) -> Matrix(1,0,-2,1) Matrix(1985,578,3108,905) -> Matrix(7,-2,4,-1) Matrix(2037,592,320,93) -> Matrix(5,-2,-2,1) Matrix(269,78,1176,341) -> Matrix(9,-4,-2,1) Matrix(369,104,-1586,-447) -> Matrix(1,-2,4,-7) Matrix(791,222,424,119) -> Matrix(1,0,-2,1) Matrix(581,162,104,29) -> Matrix(1,-2,0,1) Matrix(159,44,-842,-233) -> Matrix(1,-2,2,-3) Matrix(893,246,628,173) -> Matrix(1,2,0,1) Matrix(363,98,-1352,-365) -> Matrix(1,0,10,1) Matrix(2335,626,6024,1615) -> Matrix(15,-2,8,-1) Matrix(827,220,312,83) -> Matrix(7,-2,4,-1) Matrix(311,82,1134,299) -> Matrix(1,0,-2,1) Matrix(465,122,1132,297) -> Matrix(5,-2,-2,1) Matrix(1591,414,2056,535) -> Matrix(1,0,0,1) Matrix(1591,412,614,159) -> Matrix(1,0,0,1) Matrix(49,12,102,25) -> Matrix(1,0,0,1) Matrix(797,188,496,117) -> Matrix(7,-2,4,-1) Matrix(7695,1804,4466,1047) -> Matrix(33,-8,-4,1) Matrix(5113,1198,892,209) -> Matrix(7,-2,-10,3) Matrix(745,174,2676,625) -> Matrix(1,0,-4,1) Matrix(5249,1220,2276,529) -> Matrix(19,-6,-22,7) Matrix(149,34,688,157) -> Matrix(3,-2,2,-1) Matrix(539,122,296,67) -> Matrix(5,-2,-2,1) Matrix(1607,354,976,215) -> Matrix(3,-2,2,-1) Matrix(2627,576,488,107) -> Matrix(5,-2,-2,1) Matrix(1557,340,2624,573) -> Matrix(3,-2,14,-9) Matrix(3451,752,1262,275) -> Matrix(5,-4,4,-3) Matrix(5337,1156,2036,441) -> Matrix(15,-14,14,-13) Matrix(47,10,484,103) -> Matrix(1,0,0,1) Matrix(1929,410,1642,349) -> Matrix(1,-2,0,1) Matrix(1203,254,772,163) -> Matrix(1,0,0,1) Matrix(239,50,-1152,-241) -> Matrix(1,0,6,1) Matrix(1149,236,1816,373) -> Matrix(5,-2,8,-3) Matrix(1833,352,1130,217) -> Matrix(17,-8,-2,1) Matrix(419,78,188,35) -> Matrix(1,0,-2,1) Matrix(881,158,184,33) -> Matrix(1,0,-2,1) Matrix(1201,214,926,165) -> Matrix(7,-4,2,-1) Matrix(47,8,182,31) -> Matrix(1,0,-2,1) Matrix(135,22,92,15) -> Matrix(1,0,-2,1) Matrix(225,34,536,81) -> Matrix(3,-2,2,-1) Matrix(219,28,86,11) -> Matrix(1,0,0,1) Matrix(2021,236,1550,181) -> Matrix(17,-8,-2,1) Matrix(255,28,428,47) -> Matrix(3,-2,14,-9) Matrix(593,60,168,17) -> Matrix(5,-4,4,-3) Matrix(375,32,82,7) -> Matrix(1,0,0,1) Matrix(1601,-186,680,-79) -> Matrix(11,-10,-12,11) Matrix(1559,-188,340,-41) -> Matrix(5,-6,6,-7) Matrix(1279,-166,470,-61) -> Matrix(1,-2,2,-3) Matrix(637,-86,200,-27) -> Matrix(1,-2,-2,5) Matrix(99,-16,130,-21) -> Matrix(1,0,2,1) Matrix(451,-80,840,-149) -> Matrix(1,0,0,1) Matrix(1193,-214,708,-127) -> Matrix(1,2,0,1) Matrix(513,-94,322,-59) -> Matrix(3,-2,2,-1) Matrix(607,-116,382,-73) -> Matrix(1,-2,2,-3) Matrix(1039,-216,1698,-353) -> Matrix(3,-8,8,-21) Matrix(1445,-302,378,-79) -> Matrix(1,-4,0,1) Matrix(1003,-212,440,-93) -> Matrix(1,-4,0,1) Matrix(499,-110,186,-41) -> Matrix(1,-2,0,1) Matrix(901,-202,620,-139) -> Matrix(1,-10,0,1) Matrix(1889,-428,1302,-295) -> Matrix(1,18,0,1) Matrix(6003,-1370,3650,-833) -> Matrix(1,6,0,1) Matrix(431,-100,556,-129) -> Matrix(1,0,2,1) Matrix(241,-64,900,-239) -> Matrix(1,0,2,1) Matrix(1377,-370,1738,-467) -> Matrix(1,-2,2,-3) Matrix(7693,-2074,4848,-1307) -> Matrix(1,0,0,1) Matrix(4009,-1084,2452,-663) -> Matrix(1,0,0,1) Matrix(2303,-624,358,-97) -> Matrix(1,0,-2,1) Matrix(3099,-854,1310,-361) -> Matrix(3,-2,-4,3) Matrix(10571,-2920,3870,-1069) -> Matrix(3,-4,4,-5) Matrix(653,-182,714,-199) -> Matrix(1,0,2,1) Matrix(503,-142,712,-201) -> Matrix(1,0,-2,1) Matrix(797,-230,648,-187) -> Matrix(5,-6,6,-7) Matrix(1765,-514,2414,-703) -> Matrix(1,-2,8,-15) Matrix(1587,-464,236,-69) -> Matrix(1,-2,2,-3) Matrix(4937,-1446,1294,-379) -> Matrix(1,-4,0,1) Matrix(1791,-526,412,-121) -> Matrix(1,-2,-2,5) Matrix(1145,-338,3872,-1143) -> Matrix(1,-6,0,1) Matrix(145,-44,234,-71) -> Matrix(1,-2,2,-3) Matrix(141,-50,392,-139) -> Matrix(1,0,6,1) Matrix(1619,-584,280,-101) -> Matrix(1,0,-6,1) Matrix(2513,-908,1060,-383) -> Matrix(7,-2,-10,3) Matrix(18637,-6822,7734,-2831) -> Matrix(1,0,-2,1) Matrix(10931,-4002,4952,-1813) -> Matrix(1,-2,0,1) Matrix(2141,-786,444,-163) -> Matrix(1,0,-4,1) Matrix(2109,-778,778,-287) -> Matrix(1,0,-2,1) Matrix(3551,-1314,554,-205) -> Matrix(3,-2,-4,3) Matrix(499,-186,110,-41) -> Matrix(1,0,0,1) Matrix(137,-52,166,-63) -> Matrix(3,-2,2,-1) Matrix(3511,-1354,822,-317) -> Matrix(5,-6,-4,5) Matrix(2027,-784,1316,-509) -> Matrix(1,-2,2,-3) Matrix(4849,-1878,6628,-2567) -> Matrix(1,-2,8,-15) Matrix(1561,-606,492,-191) -> Matrix(1,-2,-2,5) Matrix(573,-224,110,-43) -> Matrix(1,0,0,1) Matrix(2731,-1070,1146,-449) -> Matrix(1,-2,-2,5) Matrix(785,-318,432,-175) -> Matrix(1,-4,0,1) Matrix(1861,-760,1026,-419) -> Matrix(1,6,0,1) Matrix(3073,-1258,1942,-795) -> Matrix(1,4,0,1) Matrix(859,-356,1344,-557) -> Matrix(1,2,0,1) Matrix(3539,-1478,1554,-649) -> Matrix(1,-2,0,1) Matrix(3561,-1492,2518,-1055) -> Matrix(1,0,2,1) Matrix(3099,-1310,854,-361) -> Matrix(1,2,0,1) Matrix(1227,-520,748,-317) -> Matrix(1,2,0,1) Matrix(239,-104,370,-161) -> Matrix(3,2,4,3) Matrix(1003,-440,212,-93) -> Matrix(1,0,2,1) Matrix(2137,-942,1740,-767) -> Matrix(5,4,6,5) Matrix(2057,-908,1212,-535) -> Matrix(9,4,2,1) Matrix(1207,-542,314,-141) -> Matrix(1,0,2,1) Matrix(2251,-1016,1624,-733) -> Matrix(15,4,-4,-1) Matrix(653,-296,942,-427) -> Matrix(7,2,-4,-1) Matrix(705,-322,208,-95) -> Matrix(1,0,8,1) Matrix(1583,-734,468,-217) -> Matrix(1,0,-14,1) Matrix(895,-472,548,-289) -> Matrix(1,0,0,1) Matrix(493,-268,344,-187) -> Matrix(1,0,0,1) Matrix(687,-376,148,-81) -> Matrix(1,0,0,1) Matrix(441,-244,244,-135) -> Matrix(1,0,0,1) Matrix(1073,-600,828,-463) -> Matrix(1,4,0,1) Matrix(6597,-3700,4042,-2267) -> Matrix(1,0,2,1) Matrix(11003,-6174,3894,-2185) -> Matrix(7,4,-2,-1) Matrix(11317,-6352,2970,-1667) -> Matrix(3,2,-2,-1) Matrix(19127,-10740,8080,-4537) -> Matrix(9,2,-14,-3) Matrix(8175,-4594,3454,-1941) -> Matrix(3,-2,-4,3) Matrix(1069,-602,1362,-767) -> Matrix(1,-2,2,-3) Matrix(2793,-1576,778,-439) -> Matrix(1,2,0,1) Matrix(2693,-1524,1942,-1099) -> Matrix(1,-2,0,1) Matrix(169,-98,288,-167) -> Matrix(1,0,10,1) Matrix(1505,-888,622,-367) -> Matrix(1,0,-8,1) Matrix(1719,-1018,2386,-1413) -> Matrix(1,0,-8,1) Matrix(331,-200,48,-29) -> Matrix(1,0,-2,1) Matrix(6003,-3650,1370,-833) -> Matrix(1,0,-6,1) Matrix(1227,-748,520,-317) -> Matrix(7,-2,-10,3) Matrix(2523,-1544,518,-317) -> Matrix(5,-2,18,-7) Matrix(895,-548,472,-289) -> Matrix(5,-2,-12,5) Matrix(987,-610,610,-377) -> Matrix(11,-6,2,-1) Matrix(513,-322,94,-59) -> Matrix(1,0,-2,1) Matrix(3073,-1942,1258,-795) -> Matrix(3,-2,-22,15) Matrix(3421,-2164,4330,-2739) -> Matrix(1,0,0,1) Matrix(11169,-7070,6842,-4331) -> Matrix(3,-2,-4,3) Matrix(627,-398,512,-325) -> Matrix(1,0,0,1) Matrix(4061,-2588,1486,-947) -> Matrix(5,-4,4,-3) Matrix(13687,-8734,5010,-3197) -> Matrix(9,-10,10,-11) Matrix(1111,-712,788,-505) -> Matrix(1,0,-2,1) Matrix(531,-344,230,-149) -> Matrix(3,-2,-4,3) Matrix(857,-588,360,-247) -> Matrix(1,-2,-2,5) Matrix(585,-404,404,-279) -> Matrix(1,4,0,1) Matrix(1479,-1028,1256,-873) -> Matrix(1,2,-2,-3) Matrix(493,-344,268,-187) -> Matrix(3,2,-2,-1) Matrix(1049,-738,624,-439) -> Matrix(1,2,0,1) Matrix(13977,-9850,4948,-3487) -> Matrix(1,-4,0,1) Matrix(11947,-8420,2720,-1917) -> Matrix(1,0,-4,1) Matrix(6797,-4792,4146,-2923) -> Matrix(1,0,0,1) Matrix(3649,-2582,2582,-1827) -> Matrix(1,0,6,1) Matrix(1111,-788,712,-505) -> Matrix(1,0,0,1) Matrix(553,-398,132,-95) -> Matrix(1,0,2,1) Matrix(8237,-5936,1414,-1019) -> Matrix(1,0,0,1) Matrix(10599,-7640,6272,-4521) -> Matrix(9,4,2,1) Matrix(2251,-1624,1016,-733) -> Matrix(7,2,-4,-1) Matrix(353,-256,484,-351) -> Matrix(1,0,12,1) Matrix(12247,-8958,15494,-11333) -> Matrix(9,-2,14,-3) Matrix(731,-560,560,-429) -> Matrix(5,-2,-2,1) Matrix(1073,-828,600,-463) -> Matrix(1,0,-2,1) Matrix(2957,-2286,2058,-1591) -> Matrix(3,-2,2,-1) Matrix(469,-366,214,-167) -> Matrix(5,-2,-2,1) Matrix(2749,-2154,596,-467) -> Matrix(7,-4,2,-1) Matrix(403,-318,128,-101) -> Matrix(3,-2,-4,3) Matrix(28397,-22448,8616,-6811) -> Matrix(11,-8,18,-13) Matrix(3713,-2938,848,-671) -> Matrix(3,-2,-10,7) Matrix(2731,-2170,1144,-909) -> Matrix(3,-2,-10,7) Matrix(439,-358,168,-137) -> Matrix(3,-4,4,-5) Matrix(597,-506,164,-139) -> Matrix(1,0,0,1) Matrix(2587,-2238,1060,-917) -> Matrix(1,0,-8,1) Matrix(691,-600,448,-389) -> Matrix(1,0,0,1) Matrix(1981,-1744,1212,-1067) -> Matrix(1,0,0,1) Matrix(181,-162,200,-179) -> Matrix(1,0,2,1) Matrix(159,-184,70,-81) -> Matrix(1,-2,0,1) Matrix(2921,-3426,804,-943) -> Matrix(1,4,0,1) Matrix(3749,-4420,1570,-1851) -> Matrix(1,0,-2,1) Matrix(591,-700,244,-289) -> Matrix(1,0,-2,1) Matrix(325,-396,206,-251) -> Matrix(3,-2,2,-1) Matrix(715,-882,578,-713) -> Matrix(19,-18,18,-17) Matrix(117,-148,34,-43) -> Matrix(1,-2,2,-3) Matrix(431,-556,100,-129) -> Matrix(1,-2,-2,5) Matrix(2839,-3698,2178,-2837) -> Matrix(1,-20,0,1) Matrix(379,-496,230,-301) -> Matrix(1,0,0,1) Matrix(177,-242,128,-175) -> Matrix(1,-6,0,1) Matrix(1719,-2386,1018,-1413) -> Matrix(1,6,0,1) Matrix(1669,-2320,382,-531) -> Matrix(1,2,-2,-3) Matrix(777,-1084,286,-399) -> Matrix(1,2,0,1) Matrix(899,-1266,316,-445) -> Matrix(1,-2,0,1) Matrix(3213,-4538,662,-935) -> Matrix(1,0,10,1) Matrix(4725,-6676,976,-1379) -> Matrix(1,0,-12,1) Matrix(2485,-3518,1542,-2183) -> Matrix(7,-4,2,-1) Matrix(2295,-3254,974,-1381) -> Matrix(5,-4,-6,5) Matrix(2889,-4102,1822,-2587) -> Matrix(1,-2,2,-3) Matrix(3761,-5398,1560,-2239) -> Matrix(1,-2,-2,5) Matrix(10903,-15658,4524,-6497) -> Matrix(1,0,-2,1) Matrix(1013,-1458,280,-403) -> Matrix(1,0,0,1) Matrix(691,-1058,450,-689) -> Matrix(1,0,2,1) Matrix(3445,-5332,2178,-3371) -> Matrix(1,0,0,1) Matrix(1653,-2564,626,-971) -> Matrix(3,-2,2,-1) Matrix(859,-1344,356,-557) -> Matrix(1,0,-4,1) Matrix(2077,-3282,736,-1163) -> Matrix(1,-6,0,1) Matrix(3755,-5936,2326,-3677) -> Matrix(1,2,0,1) Matrix(2147,-3402,970,-1537) -> Matrix(1,-2,0,1) Matrix(5641,-8950,970,-1539) -> Matrix(1,0,-2,1) Matrix(2731,-4336,764,-1213) -> Matrix(3,-2,2,-1) Matrix(917,-1476,146,-235) -> Matrix(1,-2,-2,5) Matrix(8423,-13578,3812,-6145) -> Matrix(1,-6,0,1) Matrix(3969,-6404,2414,-3895) -> Matrix(1,-2,0,1) Matrix(10729,-17316,3256,-5255) -> Matrix(1,-4,2,-7) Matrix(2727,-4418,1682,-2725) -> Matrix(1,-22,0,1) Matrix(491,-800,116,-189) -> Matrix(1,0,0,1) Matrix(6839,-11174,2510,-4101) -> Matrix(1,0,0,1) Matrix(4249,-6962,2592,-4247) -> Matrix(1,-2,0,1) Matrix(53351,-90174,16188,-27361) -> Matrix(1,-8,2,-15) Matrix(32303,-54604,9802,-16569) -> Matrix(1,-4,2,-7) Matrix(4561,-7714,988,-1671) -> Matrix(1,-2,0,1) Matrix(1509,-2558,620,-1051) -> Matrix(1,-4,-4,17) Matrix(6539,-11092,2960,-5021) -> Matrix(1,-6,0,1) Matrix(705,-1196,56,-95) -> Matrix(1,-4,0,1) Matrix(337,-576,196,-335) -> Matrix(1,-14,0,1) Matrix(4995,-8608,1312,-2261) -> Matrix(1,6,0,1) Matrix(4339,-7480,1590,-2741) -> Matrix(1,8,0,1) Matrix(1283,-2214,390,-673) -> Matrix(1,6,2,13) Matrix(1769,-3134,740,-1311) -> Matrix(1,0,-2,1) Matrix(643,-1142,192,-341) -> Matrix(1,0,0,1) Matrix(887,-1582,328,-585) -> Matrix(1,2,0,1) Matrix(1601,-2958,374,-691) -> Matrix(7,8,-8,-9) Matrix(1479,-2740,346,-641) -> Matrix(7,6,-6,-5) Matrix(673,-1264,238,-447) -> Matrix(7,4,-2,-1) Matrix(157,-338,72,-155) -> Matrix(1,-6,0,1) Matrix(1487,-3300,260,-577) -> Matrix(3,4,-4,-5) Matrix(2913,-6626,812,-1847) -> Matrix(1,2,0,1) Matrix(9151,-20830,2552,-5809) -> Matrix(1,6,0,1) Matrix(657,-1508,254,-583) -> Matrix(1,2,0,1) Matrix(2439,-5618,1058,-2437) -> Matrix(13,14,-14,-15) Matrix(625,-1466,136,-319) -> Matrix(1,2,0,1) Matrix(767,-1816,68,-161) -> Matrix(3,2,-2,-1) Matrix(3563,-8444,1376,-3261) -> Matrix(3,2,4,3) Matrix(787,-1874,202,-481) -> Matrix(1,0,2,1) Matrix(1841,-4392,516,-1231) -> Matrix(5,2,2,1) Matrix(2005,-4796,426,-1019) -> Matrix(1,0,4,1) Matrix(1361,-3276,312,-751) -> Matrix(1,0,0,1) Matrix(1415,-3448,332,-809) -> Matrix(11,2,-6,-1) Matrix(619,-1510,66,-161) -> Matrix(1,0,6,1) Matrix(595,-1458,242,-593) -> Matrix(1,0,22,1) Matrix(1313,-3362,512,-1311) -> Matrix(5,-4,4,-3) Matrix(351,-904,106,-273) -> Matrix(1,0,0,1) Matrix(2311,-6050,882,-2309) -> Matrix(27,-26,26,-25) Matrix(523,-1376,84,-221) -> Matrix(3,-4,-2,3) Matrix(3033,-7988,920,-2423) -> Matrix(3,-4,4,-5) Matrix(5765,-15212,1608,-4243) -> Matrix(5,-8,2,-3) Matrix(545,-1468,62,-167) -> Matrix(1,-2,0,1) Matrix(4173,-11294,1148,-3107) -> Matrix(1,-4,0,1) Matrix(8045,-21784,2214,-5995) -> Matrix(1,8,0,1) Matrix(6467,-17624,1816,-4949) -> Matrix(3,-2,2,-1) Matrix(1229,-3368,366,-1003) -> Matrix(1,-2,0,1) Matrix(281,-784,100,-279) -> Matrix(1,-10,0,1) Matrix(207,-590,20,-57) -> Matrix(1,2,0,1) Matrix(813,-2342,176,-507) -> Matrix(1,2,0,1) Matrix(523,-1682,162,-521) -> Matrix(1,0,18,1) Matrix(133,-436,18,-59) -> Matrix(1,0,-2,1) Matrix(3899,-13124,888,-2989) -> Matrix(1,0,-2,1) Matrix(713,-2402,122,-411) -> Matrix(1,0,0,1) Matrix(4451,-15842,1250,-4449) -> Matrix(3,-2,2,-1) Matrix(481,-1722,50,-179) -> Matrix(1,-2,0,1) Matrix(121,-450,32,-119) -> Matrix(1,-4,0,1) Matrix(1875,-7246,406,-1569) -> Matrix(1,2,0,1) Matrix(435,-1922,98,-433) -> Matrix(1,0,14,1) Matrix(941,-4418,200,-939) -> Matrix(1,0,2,1) Matrix(193,-1024,36,-191) -> Matrix(1,-6,0,1) Matrix(331,-2178,50,-329) -> Matrix(1,0,10,1) Matrix(69,-578,8,-67) -> Matrix(1,-2,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 84 Degree of the the map X: 84 Degree of the the map Y: 360 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.