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): 1944 Minimal number of generators: 325 Number of equivalence classes of cusps: 90 Genus: 118 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -8/17 -7/16 -2/5 -5/14 -4/13 -1/4 -2/11 0/1 1/8 1/5 5/22 2/7 4/11 5/13 8/19 1/2 10/17 8/13 7/11 11/16 5/7 4/5 1/1 8/7 5/4 47/34 7/5 16/11 3/2 11/7 50/31 13/8 17/10 35/19 2/1 37/17 56/25 113/49 19/8 17/7 5/2 136/53 13/5 137/52 79/29 11/4 119/43 20/7 3/1 41/13 16/5 55/17 10/3 7/2 11/3 85/23 19/5 107/28 4/1 17/4 73/17 13/3 22/5 9/2 37/8 14/3 19/4 67/14 5/1 68/13 21/4 16/3 11/2 17/3 23/4 6/1 19/3 13/2 20/3 47/7 7/1 15/2 23/3 8/1 17/2 26/3 9/1 10/1 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 1/51 -8/17 1/49 -7/15 1/48 1/47 -13/28 0/1 2/99 -6/13 1/48 -11/24 1/48 2/95 -5/11 0/1 -14/31 3/142 -9/20 2/95 1/47 -13/29 1/47 3/140 -17/38 0/1 2/93 -4/9 1/46 -15/34 1/47 2/93 -26/59 1/47 -11/25 3/139 1/46 -18/41 3/140 -7/16 1/46 -24/55 5/228 -17/39 3/136 1/45 -10/23 1/46 -13/30 1/46 2/91 -3/7 1/46 1/45 -14/33 3/134 -25/59 1/45 1/44 -11/26 0/1 2/89 -19/45 1/46 1/45 -8/19 3/134 -13/31 2/89 -5/12 0/1 1/44 -17/41 2/89 -12/29 1/44 -7/17 1/44 3/131 -9/22 2/89 1/44 -11/27 1/44 3/131 -13/32 2/87 5/217 -2/5 1/43 -13/33 3/128 5/213 -11/28 2/85 5/212 -9/23 5/211 1/42 -7/18 1/43 2/85 -19/49 4/169 -12/31 1/42 -5/13 1/42 3/125 -18/47 1/42 -13/34 0/1 2/83 -34/89 5/214 -21/55 5/211 1/42 -8/21 1/42 -11/29 2/83 -3/8 2/83 1/41 -13/35 1/41 9/368 -23/62 6/245 4/163 -10/27 3/122 -17/46 1/41 2/81 -7/19 2/81 -18/49 1/42 -11/30 1/41 2/81 -26/71 1/41 -15/41 1/42 1/41 -19/52 4/163 2/81 -4/11 1/40 -13/36 5/203 2/81 -22/61 3/121 -9/25 3/121 1/40 -14/39 1/40 -5/14 1/40 -16/45 1/40 -11/31 1/40 5/199 -6/17 3/118 -7/20 1/40 2/79 -1/3 1/39 1/38 -6/19 1/38 -5/16 3/113 2/75 -9/29 3/112 1/37 -4/13 1/37 -15/49 1/37 3/110 -11/36 1/37 4/147 -7/23 1/37 1/36 -17/56 8/293 2/73 -27/89 7/256 9/329 -10/33 5/182 -13/43 2/73 -3/10 0/1 1/36 -17/57 1/39 1/38 -14/47 1/37 -11/37 1/38 1/37 -19/64 1/37 -8/27 1/36 -21/71 3/112 1/37 -13/44 1/37 4/147 -5/17 2/73 -12/41 1/36 -19/65 1/36 1/35 -7/24 2/73 1/36 -16/55 3/109 -9/31 5/181 1/36 -2/7 1/36 -7/25 0/1 -5/18 1/36 2/71 -18/65 1/36 -13/47 1/36 3/107 -34/123 5/178 -55/199 2/71 -21/76 2/71 1/35 -8/29 1/35 -11/40 2/71 1/35 -14/51 1/36 -3/11 1/36 1/35 -7/26 1/35 2/69 -18/67 1/34 -11/41 2/69 -4/15 1/36 -5/19 1/35 1/34 -6/23 1/32 -13/50 0/1 1/40 -7/27 1/36 1/35 -1/4 0/1 2/69 -6/25 1/32 -11/46 0/1 1/39 -5/21 1/36 1/35 -4/17 1/34 -3/13 1/35 1/34 -5/22 1/34 2/67 -7/31 2/67 -9/40 0/1 1/31 -2/9 1/34 -5/23 0/1 -3/14 2/67 1/33 -10/47 3/100 -7/33 1/34 1/33 -4/19 1/33 -9/43 1/35 1/34 -14/67 11/370 -19/91 2/67 -5/24 2/67 1/33 -6/29 5/166 -1/5 1/33 1/32 -4/21 1/32 -3/16 2/65 1/32 -5/27 1/33 1/32 -2/11 1/32 -7/39 1/32 5/159 -5/28 2/63 1/31 -3/17 1/32 1/31 -13/74 5/158 2/63 -10/57 3/94 -7/40 0/1 2/63 -4/23 1/32 -5/29 2/63 -1/6 2/63 1/31 -4/25 1/31 -3/19 7/218 1/31 -2/13 5/154 -5/33 1/31 1/30 -3/20 3/92 2/61 -1/7 2/61 -2/15 1/30 -3/23 11/331 1/30 -1/8 1/30 4/119 -2/17 3/89 -3/26 11/325 2/59 -4/35 15/442 -1/9 3/88 1/29 -1/10 1/29 0/1 1/26 1/9 3/70 1/23 2/17 5/116 1/8 1/23 1/7 1/23 3/68 2/13 3/67 1/6 4/89 1/22 2/11 1/22 5/27 7/152 3/65 3/16 2/43 1/21 4/21 1/22 1/5 2/43 5/24 6/127 1/21 4/19 1/20 7/33 1/23 1/22 3/14 2/43 3/64 2/9 5/106 5/22 1/21 8/35 19/398 3/13 1/21 7/146 4/17 1/21 1/4 1/21 2/41 4/15 1/20 11/41 3/64 1/21 7/26 0/1 2/41 3/11 1/21 1/20 5/18 1/21 2/41 2/7 1/20 7/24 5/99 4/79 19/65 10/197 12/41 17/334 17/58 12/235 2/39 5/17 1/20 1/19 8/27 3/58 19/64 4/77 1/19 11/37 0/1 3/10 1/20 2/39 4/13 1/20 5/16 0/1 2/39 6/19 1/20 1/3 1/20 1/19 5/14 1/19 2/37 9/25 1/18 1/17 13/36 0/1 1/17 4/11 1/19 19/52 0/1 1/18 15/41 1/19 3/56 11/30 0/1 1/18 7/19 1/19 1/18 3/8 1/19 2/37 11/29 5/91 1/18 19/50 0/1 2/35 27/71 1/19 1/18 8/21 1/18 21/55 1/19 1/18 34/89 1/17 13/34 1/18 2/35 5/13 0/1 7/18 0/1 1/19 16/41 1/19 25/64 2/37 3/55 9/23 1/20 1/19 2/5 1/18 7/17 2/37 5/12 2/37 1/18 8/19 1/18 11/26 1/18 4/71 3/7 1/18 1/17 13/30 0/1 1/13 10/23 1/19 27/62 1/19 2/37 17/39 5/91 1/18 7/16 2/35 1/17 4/9 1/18 5/11 1/17 1/16 6/13 1/20 7/15 1/19 1/18 8/17 1/18 1/2 0/1 2/35 7/13 1/17 1/16 6/11 1/20 17/31 2/37 28/51 1/18 11/20 0/1 1/17 5/9 1/18 1/17 19/34 2/35 1/17 33/59 1/18 1/17 14/25 1/17 37/66 3/53 2/35 23/41 3/52 1/17 9/16 0/1 1/17 13/23 0/1 4/7 1/16 11/19 2/35 7/12 2/35 1/17 10/17 1/17 13/22 1/17 4/67 3/5 1/17 1/16 11/18 1/17 2/33 19/31 1/17 1/16 27/44 0/1 1/16 35/57 3/52 1/17 8/13 1/17 37/60 13/215 2/33 29/47 5/82 3/49 21/34 1/17 2/33 13/21 3/49 1/16 5/8 2/33 1/16 17/27 1/16 3/47 46/73 9/140 75/119 9/139 7/108 29/46 2/31 4/61 41/65 7/106 1/15 12/19 1/16 31/49 1/16 1/15 50/79 1/15 19/30 0/1 1/15 7/11 0/1 16/25 1/18 9/14 2/35 1/17 20/31 1/17 31/48 6/103 1/17 11/17 1/17 5/84 2/3 1/16 11/16 1/16 20/29 1/16 9/13 1/16 5/79 16/23 3/47 7/10 1/16 2/31 12/17 1/16 29/41 1/16 1/15 17/24 4/65 1/16 22/31 13/206 5/7 2/31 23/32 3/47 2/31 18/25 7/108 31/43 3/46 7/107 44/61 1/15 13/18 4/61 1/15 8/11 1/16 27/37 3/46 1/15 46/63 17/258 19/26 1/15 11/15 1/15 1/14 14/19 1/15 3/4 0/1 1/16 10/13 5/78 17/22 2/31 8/123 41/53 23/353 3/46 24/31 17/260 7/9 1/16 1/15 18/23 3/46 47/60 7/107 4/61 29/37 4/61 11/14 4/61 1/15 4/5 1/15 13/16 1/15 2/29 48/59 15/224 35/43 6/89 22/27 5/74 53/65 7/103 3/44 31/38 4/59 2/29 9/11 1/15 3/44 23/28 0/1 2/29 60/73 1/14 37/45 1/15 1/14 14/17 1/14 19/23 4/59 24/29 19/278 5/6 2/29 3/43 6/7 1/14 13/15 1/16 1/15 7/8 0/1 2/29 1/1 1/14 1/13 10/9 3/38 9/8 2/25 1/12 8/7 1/13 15/13 1/13 1/12 22/19 3/38 7/6 2/25 1/12 20/17 1/12 13/11 0/1 6/5 3/38 23/19 2/25 17/14 3/37 4/49 11/9 5/61 1/12 5/4 1/12 19/15 1/12 3/35 52/41 5/59 33/26 4/47 3/35 47/37 4/47 14/11 1/12 9/7 1/12 3/35 31/24 3/35 2/23 22/17 3/35 35/27 7/81 9/104 13/10 2/23 5/57 30/23 9/100 17/13 0/1 4/3 1/12 23/17 3/34 1/11 19/14 2/23 4/45 15/11 1/11 1/10 26/19 1/11 63/46 0/1 1/13 37/27 1/12 1/11 11/8 2/23 1/11 29/21 5/56 1/11 47/34 1/11 65/47 1/11 7/76 18/13 1/10 43/31 1/12 1/11 25/18 0/1 1/9 57/41 1/14 1/13 32/23 5/62 7/5 2/23 38/27 5/58 69/49 3/34 1/11 31/22 2/23 5/57 55/39 5/57 3/34 79/56 3/34 24/17 3/34 41/29 5/56 1/11 17/12 2/23 1/11 27/19 3/34 1/11 37/26 1/11 47/33 1/12 1/11 10/7 3/34 33/23 5/56 11/123 23/16 4/45 6/67 13/9 9/100 1/11 16/11 1/11 19/13 1/11 13/142 3/2 1/11 2/21 20/13 1/11 17/11 1/11 3/32 31/20 4/43 2/21 45/29 1/11 1/10 14/9 3/32 11/7 2/21 30/19 5/52 79/50 2/21 8/83 49/31 17/176 3/31 19/12 3/31 4/41 46/29 1/11 73/46 2/21 11/115 100/63 21/218 27/17 3/31 1/10 8/5 1/10 29/18 10/101 1/10 50/31 1/10 71/44 1/10 20/199 21/13 1/10 5/49 55/34 3/29 2/19 89/55 2/19 34/21 5/46 81/50 2/17 3/25 47/29 1/8 1/7 13/8 0/1 2/21 57/35 1/11 3/32 101/62 1/11 2/21 44/27 1/10 31/19 1/11 1/10 49/30 1/11 2/21 67/41 2/21 18/11 1/10 23/14 0/1 1/10 5/3 3/31 1/10 17/10 1/10 29/17 1/10 17/169 12/7 1/10 31/18 5/49 4/39 81/47 1/10 5/49 50/29 1/10 19/11 4/39 45/26 1/10 4/39 26/15 1/10 7/4 2/19 1/9 16/9 1/10 57/32 2/19 1/9 41/23 1/10 1/9 25/14 0/1 2/21 59/33 5/52 3/31 93/52 7/72 4/41 34/19 11/112 43/24 16/161 1/10 52/29 1/10 9/5 1/10 5/49 11/6 5/48 2/19 35/19 2/19 59/32 2/19 27/256 24/13 11/104 13/7 5/47 3/28 15/8 2/19 1/9 17/9 9/82 1/9 2/1 1/9 13/6 5/43 2/17 37/17 2/17 61/28 2/17 23/195 24/11 9/76 11/5 3/25 1/8 20/9 1/8 29/13 4/33 38/17 17/138 47/21 19/153 1/8 56/25 1/8 9/4 1/8 2/15 25/11 0/1 16/7 1/8 55/24 6/55 1/9 94/41 1/9 39/17 1/9 7/62 101/44 5/44 4/35 62/27 3/26 23/10 4/35 2/17 53/23 7/60 9/77 83/36 25/213 2/17 113/49 2/17 30/13 9/76 7/3 3/25 1/8 19/8 1/8 31/13 1/8 13/103 12/5 1/8 29/12 1/8 4/31 46/19 7/54 17/7 2/15 56/23 1/8 39/16 3/23 2/15 61/25 3/22 1/7 22/9 5/38 5/2 0/1 1/8 28/11 1/7 23/9 1/8 3/23 41/16 0/1 2/15 59/23 1/8 1/7 136/53 1/7 77/30 0/1 1/7 18/7 1/8 31/12 4/31 3/23 13/5 2/15 34/13 3/22 89/34 4/29 6/43 55/21 1/8 1/7 21/8 2/15 1/7 92/35 1/8 71/27 1/7 1/6 192/73 1/4 121/46 0/1 1/9 50/19 1/7 79/30 0/1 1/7 108/41 1/8 137/52 1/8 29/11 1/8 1/7 8/3 3/22 27/10 0/1 1/8 73/27 1/8 3/23 46/17 1/7 19/7 1/7 1/6 49/18 0/1 1/6 79/29 0/1 109/40 0/1 1/10 30/11 1/8 41/15 1/9 1/8 93/34 3/23 2/15 52/19 3/22 11/4 0/1 2/15 47/17 1/8 3/23 83/30 7/53 2/15 119/43 2/15 155/56 2/15 13/97 36/13 3/22 25/9 1/8 1/7 39/14 3/23 2/15 53/19 2/15 120/43 37/276 67/24 2/15 7/52 14/5 3/22 17/6 6/43 1/7 20/7 1/7 23/8 1/7 8/55 3/1 1/7 1/6 22/7 1/6 41/13 0/1 19/6 0/1 1/7 16/5 1/7 29/9 1/7 5/34 42/13 13/86 55/17 2/13 68/21 5/32 13/4 2/13 1/6 23/7 2/13 33/10 0/1 1/5 10/3 1/6 37/11 0/1 27/8 0/1 1/5 44/13 1/7 105/31 9/64 1/7 166/49 15/104 61/18 1/7 2/13 17/5 1/7 3/20 7/2 1/6 25/7 3/17 5/28 118/33 21/116 211/59 2/11 93/26 2/11 13/71 68/19 1/5 43/12 2/11 1/5 190/53 1/5 147/41 1/6 1/5 104/29 1/6 61/17 2/11 18/5 3/16 47/13 0/1 29/8 0/1 1/4 11/3 1/6 3/17 48/13 5/28 85/23 2/11 122/33 11/60 37/10 2/11 3/16 26/7 1/5 67/18 1/7 2/13 108/29 1/6 41/11 1/6 5/29 56/15 5/28 127/34 7/39 2/11 71/19 2/11 15/4 2/11 1/5 19/5 2/11 42/11 11/56 107/28 1/5 172/45 37/184 65/17 1/5 13/64 23/6 1/5 2/9 27/7 1/5 1/4 4/1 1/6 21/5 1/5 3/14 17/4 0/1 2/11 30/7 1/6 103/24 7/39 2/11 73/17 2/11 43/10 2/11 1/5 13/3 3/16 1/5 22/5 1/5 31/7 1/5 7/34 9/2 1/5 2/9 23/5 1/5 1/4 37/8 1/5 51/11 1/5 3/14 14/3 3/14 33/7 3/13 1/4 19/4 2/9 3/13 43/9 9/37 1/4 67/14 1/4 91/19 1/4 15/59 24/5 1/4 29/6 0/1 1/3 5/1 0/1 26/5 3/16 47/9 9/46 1/5 68/13 1/5 21/4 1/5 4/19 37/7 1/5 1/4 16/3 3/14 43/8 2/9 4/17 27/5 1/5 1/4 11/2 2/9 1/4 17/3 3/13 1/4 23/4 1/4 29/5 1/4 5/19 6/1 1/4 19/3 3/10 1/3 13/2 0/1 2/5 20/3 -1/2 47/7 0/1 74/11 1/24 27/4 0/1 1/11 7/1 1/5 1/4 15/2 1/4 2/7 23/3 3/10 1/3 8/1 1/3 17/2 1/3 2/5 26/3 1/2 9/1 1/3 1/2 10/1 1/6 1/0 0/1 1/1 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(1123,530,820,387) (-1/2,-8/17) -> (26/19,63/46) Hyperbolic Matrix(1931,906,714,335) (-8/17,-7/15) -> (73/27,46/17) Hyperbolic Matrix(1011,470,-3332,-1549) (-7/15,-13/28) -> (-17/56,-27/89) Hyperbolic Matrix(2109,976,806,373) (-13/28,-6/13) -> (34/13,89/34) Hyperbolic Matrix(497,228,-1794,-823) (-6/13,-11/24) -> (-5/18,-18/65) Hyperbolic Matrix(297,136,998,457) (-11/24,-5/11) -> (11/37,3/10) Hyperbolic Matrix(593,268,1082,489) (-5/11,-14/31) -> (6/11,17/31) Hyperbolic Matrix(293,132,-1374,-619) (-14/31,-9/20) -> (-3/14,-10/47) Hyperbolic Matrix(881,396,198,89) (-9/20,-13/29) -> (31/7,9/2) Hyperbolic Matrix(2543,1138,1562,699) (-13/29,-17/38) -> (13/8,57/35) Hyperbolic Matrix(1851,826,1172,523) (-17/38,-4/9) -> (30/19,79/50) Hyperbolic Matrix(675,298,-2512,-1109) (-4/9,-15/34) -> (-7/26,-18/67) Hyperbolic Matrix(1933,852,4440,1957) (-15/34,-26/59) -> (10/23,27/62) Hyperbolic Matrix(1353,596,-4538,-1999) (-26/59,-11/25) -> (-17/57,-14/47) Hyperbolic Matrix(387,170,1828,803) (-11/25,-18/41) -> (4/19,7/33) Hyperbolic Matrix(671,294,-1536,-673) (-18/41,-7/16) -> (-7/16,-24/55) Parabolic Matrix(4213,1838,1726,753) (-24/55,-17/39) -> (61/25,22/9) Hyperbolic Matrix(193,84,1050,457) (-17/39,-10/23) -> (2/11,5/27) Hyperbolic Matrix(1815,788,1048,455) (-10/23,-13/30) -> (45/26,26/15) Hyperbolic Matrix(759,328,1238,535) (-13/30,-3/7) -> (19/31,27/44) Hyperbolic Matrix(749,318,-2532,-1075) (-3/7,-14/33) -> (-8/27,-21/71) Hyperbolic Matrix(2435,1032,-8808,-3733) (-14/33,-25/59) -> (-13/47,-34/123) Hyperbolic Matrix(2063,874,2528,1071) (-25/59,-11/26) -> (31/38,9/11) Hyperbolic Matrix(653,276,750,317) (-11/26,-19/45) -> (13/15,7/8) Hyperbolic Matrix(185,78,-1212,-511) (-19/45,-8/19) -> (-2/13,-5/33) Hyperbolic Matrix(371,156,654,275) (-8/19,-13/31) -> (13/23,4/7) Hyperbolic Matrix(463,194,1210,507) (-13/31,-5/12) -> (13/34,5/13) Hyperbolic Matrix(279,116,-926,-385) (-5/12,-17/41) -> (-13/43,-3/10) Hyperbolic Matrix(1197,496,1016,421) (-17/41,-12/29) -> (20/17,13/11) Hyperbolic Matrix(1103,456,462,191) (-12/29,-7/17) -> (31/13,12/5) Hyperbolic Matrix(459,188,730,299) (-7/17,-9/22) -> (5/8,17/27) Hyperbolic Matrix(1097,448,1550,633) (-9/22,-11/27) -> (29/41,17/24) Hyperbolic Matrix(457,186,-1914,-779) (-11/27,-13/32) -> (-11/46,-5/21) Hyperbolic Matrix(637,258,1632,661) (-13/32,-2/5) -> (16/41,25/64) Hyperbolic Matrix(1607,634,2228,879) (-2/5,-13/33) -> (31/43,44/61) Hyperbolic Matrix(625,246,-2406,-947) (-13/33,-11/28) -> (-13/50,-7/27) Hyperbolic Matrix(265,104,1246,489) (-11/28,-9/23) -> (7/33,3/14) Hyperbolic Matrix(267,104,706,275) (-9/23,-7/18) -> (3/8,11/29) Hyperbolic Matrix(2031,788,616,239) (-7/18,-19/49) -> (23/7,33/10) Hyperbolic Matrix(351,136,-2026,-785) (-19/49,-12/31) -> (-4/23,-5/29) Hyperbolic Matrix(1055,408,618,239) (-12/31,-5/13) -> (29/17,12/7) Hyperbolic Matrix(1049,402,-3588,-1375) (-5/13,-18/47) -> (-12/41,-19/65) Hyperbolic Matrix(439,168,1398,535) (-18/47,-13/34) -> (5/16,6/19) Hyperbolic Matrix(1921,734,6556,2505) (-13/34,-34/89) -> (12/41,17/58) Hyperbolic Matrix(1571,600,-7512,-2869) (-34/89,-21/55) -> (-9/43,-14/67) Hyperbolic Matrix(173,66,-1308,-499) (-21/55,-8/21) -> (-2/15,-3/23) Hyperbolic Matrix(611,232,956,363) (-8/21,-11/29) -> (7/11,16/25) Hyperbolic Matrix(607,230,958,363) (-11/29,-3/8) -> (19/30,7/11) Hyperbolic Matrix(257,96,174,65) (-3/8,-13/35) -> (19/13,3/2) Hyperbolic Matrix(6525,2422,2492,925) (-13/35,-23/62) -> (89/34,55/21) Hyperbolic Matrix(3521,1306,1286,477) (-23/62,-10/27) -> (52/19,11/4) Hyperbolic Matrix(941,348,-3426,-1267) (-10/27,-17/46) -> (-11/40,-14/51) Hyperbolic Matrix(1543,570,1968,727) (-17/46,-7/19) -> (29/37,11/14) Hyperbolic Matrix(1197,440,1450,533) (-7/19,-18/49) -> (14/17,19/23) Hyperbolic Matrix(425,156,-2046,-751) (-18/49,-11/30) -> (-5/24,-6/29) Hyperbolic Matrix(1447,530,172,63) (-11/30,-26/71) -> (8/1,17/2) Hyperbolic Matrix(1961,718,254,93) (-26/71,-15/41) -> (23/3,8/1) Hyperbolic Matrix(5787,2116,3662,1339) (-15/41,-19/52) -> (79/50,49/31) Hyperbolic Matrix(597,218,-3404,-1243) (-19/52,-4/11) -> (-10/57,-7/40) Hyperbolic Matrix(171,62,-764,-277) (-4/11,-13/36) -> (-9/40,-2/9) Hyperbolic Matrix(255,92,-2198,-793) (-13/36,-22/61) -> (-2/17,-3/26) Hyperbolic Matrix(2363,852,4224,1523) (-22/61,-9/25) -> (33/59,14/25) Hyperbolic Matrix(1431,514,2024,727) (-9/25,-14/39) -> (12/17,29/41) Hyperbolic Matrix(419,150,-1176,-421) (-14/39,-5/14) -> (-5/14,-16/45) Parabolic Matrix(5195,1846,3014,1071) (-16/45,-11/31) -> (81/47,50/29) Hyperbolic Matrix(1085,384,1506,533) (-11/31,-6/17) -> (18/25,31/43) Hyperbolic Matrix(1413,496,584,205) (-6/17,-7/20) -> (29/12,46/19) Hyperbolic Matrix(333,116,910,317) (-7/20,-1/3) -> (15/41,11/30) Hyperbolic Matrix(869,276,318,101) (-1/3,-6/19) -> (30/11,41/15) Hyperbolic Matrix(787,248,238,75) (-6/19,-5/16) -> (33/10,10/3) Hyperbolic Matrix(1413,440,1018,317) (-5/16,-9/29) -> (43/31,25/18) Hyperbolic Matrix(311,96,-1014,-313) (-9/29,-4/13) -> (-4/13,-15/49) Parabolic Matrix(2099,642,546,167) (-15/49,-11/36) -> (23/6,27/7) Hyperbolic Matrix(1867,570,1320,403) (-11/36,-7/23) -> (41/29,17/12) Hyperbolic Matrix(3879,1178,2170,659) (-7/23,-17/56) -> (25/14,59/33) Hyperbolic Matrix(389,118,-3412,-1035) (-27/89,-10/33) -> (-4/35,-1/9) Hyperbolic Matrix(2787,844,776,235) (-10/33,-13/43) -> (61/17,18/5) Hyperbolic Matrix(771,230,-4388,-1309) (-3/10,-17/57) -> (-3/17,-13/74) Hyperbolic Matrix(3307,984,5226,1555) (-14/47,-11/37) -> (31/49,50/79) Hyperbolic Matrix(4377,1300,3074,913) (-11/37,-19/64) -> (37/26,47/33) Hyperbolic Matrix(155,46,1304,387) (-19/64,-8/27) -> (2/17,1/8) Hyperbolic Matrix(1765,522,612,181) (-21/71,-13/44) -> (23/8,3/1) Hyperbolic Matrix(1301,384,1074,317) (-13/44,-5/17) -> (23/19,17/14) Hyperbolic Matrix(1529,448,686,201) (-5/17,-12/41) -> (20/9,29/13) Hyperbolic Matrix(3507,1024,1298,379) (-19/65,-7/24) -> (27/10,73/27) Hyperbolic Matrix(1141,332,3124,909) (-7/24,-16/55) -> (4/11,19/52) Hyperbolic Matrix(2209,642,5784,1681) (-16/55,-9/31) -> (21/55,34/89) Hyperbolic Matrix(683,198,990,287) (-9/31,-2/7) -> (20/29,9/13) Hyperbolic Matrix(827,232,524,147) (-2/7,-7/25) -> (11/7,30/19) Hyperbolic Matrix(675,188,298,83) (-7/25,-5/18) -> (9/4,25/11) Hyperbolic Matrix(2167,600,372,103) (-18/65,-13/47) -> (29/5,6/1) Hyperbolic Matrix(20297,5610,6270,1733) (-34/123,-55/199) -> (55/17,68/21) Hyperbolic Matrix(30669,8476,8210,2269) (-55/199,-21/76) -> (127/34,71/19) Hyperbolic Matrix(6415,1772,1792,495) (-21/76,-8/29) -> (68/19,43/12) Hyperbolic Matrix(1191,328,374,103) (-8/29,-11/40) -> (19/6,16/5) Hyperbolic Matrix(2755,756,594,163) (-14/51,-3/11) -> (51/11,14/3) Hyperbolic Matrix(221,60,372,101) (-3/11,-7/26) -> (13/22,3/5) Hyperbolic Matrix(3247,872,3988,1071) (-18/67,-11/41) -> (35/43,22/27) Hyperbolic Matrix(2141,574,884,237) (-11/41,-4/15) -> (46/19,17/7) Hyperbolic Matrix(587,156,222,59) (-4/15,-5/19) -> (29/11,8/3) Hyperbolic Matrix(1025,268,218,57) (-5/19,-6/23) -> (14/3,33/7) Hyperbolic Matrix(2557,666,1386,361) (-6/23,-13/50) -> (59/32,24/13) Hyperbolic Matrix(1017,262,656,169) (-7/27,-1/4) -> (31/20,45/29) Hyperbolic Matrix(1139,274,212,51) (-1/4,-6/25) -> (16/3,43/8) Hyperbolic Matrix(2629,630,1206,289) (-6/25,-11/46) -> (61/28,24/11) Hyperbolic Matrix(1201,284,850,201) (-5/21,-4/17) -> (24/17,41/29) Hyperbolic Matrix(563,132,354,83) (-4/17,-3/13) -> (27/17,8/5) Hyperbolic Matrix(209,48,492,113) (-3/13,-5/22) -> (11/26,3/7) Hyperbolic Matrix(1813,410,1048,237) (-5/22,-7/31) -> (19/11,45/26) Hyperbolic Matrix(977,220,3344,753) (-7/31,-9/40) -> (7/24,19/65) Hyperbolic Matrix(899,196,344,75) (-2/9,-5/23) -> (13/5,34/13) Hyperbolic Matrix(895,194,346,75) (-5/23,-3/14) -> (31/12,13/5) Hyperbolic Matrix(2539,540,1782,379) (-10/47,-7/33) -> (47/33,10/7) Hyperbolic Matrix(549,116,478,101) (-7/33,-4/19) -> (8/7,15/13) Hyperbolic Matrix(2597,544,2048,429) (-4/19,-9/43) -> (19/15,52/41) Hyperbolic Matrix(14471,3022,5186,1083) (-14/67,-19/91) -> (53/19,120/43) Hyperbolic Matrix(11125,2322,2592,541) (-19/91,-5/24) -> (103/24,73/17) Hyperbolic Matrix(1975,408,1428,295) (-6/29,-1/5) -> (65/47,18/13) Hyperbolic Matrix(871,168,534,103) (-1/5,-4/21) -> (44/27,31/19) Hyperbolic Matrix(467,88,398,75) (-4/21,-3/16) -> (7/6,20/17) Hyperbolic Matrix(729,136,134,25) (-3/16,-5/27) -> (27/5,11/2) Hyperbolic Matrix(131,24,-726,-133) (-5/27,-2/11) -> (-2/11,-7/39) Parabolic Matrix(4475,802,2762,495) (-7/39,-5/28) -> (81/50,47/29) Hyperbolic Matrix(1247,222,264,47) (-5/28,-3/17) -> (33/7,19/4) Hyperbolic Matrix(11137,1956,3012,529) (-13/74,-10/57) -> (122/33,37/10) Hyperbolic Matrix(3009,526,1310,229) (-7/40,-4/23) -> (62/27,23/10) Hyperbolic Matrix(1239,212,976,167) (-5/29,-1/6) -> (33/26,47/37) Hyperbolic Matrix(775,126,1224,199) (-1/6,-4/25) -> (50/79,19/30) Hyperbolic Matrix(1027,164,1672,267) (-4/25,-3/19) -> (35/57,8/13) Hyperbolic Matrix(191,30,834,131) (-3/19,-2/13) -> (8/35,3/13) Hyperbolic Matrix(955,144,126,19) (-5/33,-3/20) -> (15/2,23/3) Hyperbolic Matrix(1143,170,316,47) (-3/20,-1/7) -> (47/13,29/8) Hyperbolic Matrix(625,84,186,25) (-1/7,-2/15) -> (10/3,37/11) Hyperbolic Matrix(1801,234,1116,145) (-3/23,-1/8) -> (71/44,21/13) Hyperbolic Matrix(493,60,1290,157) (-1/8,-2/17) -> (34/89,13/34) Hyperbolic Matrix(2869,330,426,49) (-3/26,-4/35) -> (74/11,27/4) Hyperbolic Matrix(843,88,182,19) (-1/9,-1/10) -> (37/8,51/11) Hyperbolic Matrix(479,46,656,63) (-1/10,0/1) -> (46/63,19/26) Hyperbolic Matrix(345,-32,248,-23) (0/1,1/9) -> (57/41,32/23) Hyperbolic Matrix(2035,-234,774,-89) (1/9,2/17) -> (92/35,71/27) Hyperbolic Matrix(475,-64,334,-45) (1/8,1/7) -> (27/19,37/26) Hyperbolic Matrix(609,-92,470,-71) (1/7,2/13) -> (22/17,35/27) Hyperbolic Matrix(233,-38,92,-15) (2/13,1/6) -> (5/2,28/11) Hyperbolic Matrix(367,-66,228,-41) (1/6,2/11) -> (8/5,29/18) Hyperbolic Matrix(819,-152,2096,-389) (5/27,3/16) -> (25/64,9/23) Hyperbolic Matrix(1453,-276,816,-155) (3/16,4/21) -> (16/9,57/32) Hyperbolic Matrix(497,-96,906,-175) (4/21,1/5) -> (17/31,28/51) Hyperbolic Matrix(359,-74,1208,-249) (1/5,5/24) -> (19/64,11/37) Hyperbolic Matrix(1429,-300,624,-131) (5/24,4/19) -> (16/7,55/24) Hyperbolic Matrix(355,-78,132,-29) (3/14,2/9) -> (8/3,27/10) Hyperbolic Matrix(221,-50,968,-219) (2/9,5/22) -> (5/22,8/35) Parabolic Matrix(701,-164,218,-51) (3/13,4/17) -> (16/5,29/9) Hyperbolic Matrix(131,-32,86,-21) (4/17,1/4) -> (3/2,20/13) Hyperbolic Matrix(513,-136,298,-79) (1/4,4/15) -> (12/7,31/18) Hyperbolic Matrix(425,-114,384,-103) (4/15,11/41) -> (1/1,10/9) Hyperbolic Matrix(2255,-606,3576,-961) (11/41,7/26) -> (29/46,41/65) Hyperbolic Matrix(807,-218,596,-161) (7/26,3/11) -> (23/17,19/14) Hyperbolic Matrix(211,-58,382,-105) (3/11,5/18) -> (11/20,5/9) Hyperbolic Matrix(85,-24,294,-83) (5/18,2/7) -> (2/7,7/24) Parabolic Matrix(4555,-1332,5598,-1637) (19/65,12/41) -> (48/59,35/43) Hyperbolic Matrix(4843,-1420,7684,-2253) (17/58,5/17) -> (75/119,29/46) Hyperbolic Matrix(291,-86,626,-185) (5/17,8/27) -> (6/13,7/15) Hyperbolic Matrix(6455,-1916,2456,-729) (8/27,19/64) -> (21/8,92/35) Hyperbolic Matrix(497,-152,206,-63) (3/10,4/13) -> (12/5,29/12) Hyperbolic Matrix(701,-218,164,-51) (4/13,5/16) -> (17/4,30/7) Hyperbolic Matrix(123,-40,40,-13) (6/19,1/3) -> (3/1,22/7) Hyperbolic Matrix(439,-156,318,-113) (1/3,5/14) -> (11/8,29/21) Hyperbolic Matrix(1669,-600,1032,-371) (5/14,9/25) -> (21/13,55/34) Hyperbolic Matrix(3691,-1332,2142,-773) (9/25,13/36) -> (31/18,81/47) Hyperbolic Matrix(911,-330,1626,-589) (13/36,4/11) -> (14/25,37/66) Hyperbolic Matrix(6169,-2256,2688,-983) (19/52,15/41) -> (39/17,101/44) Hyperbolic Matrix(1501,-552,552,-203) (11/30,7/19) -> (19/7,49/18) Hyperbolic Matrix(355,-132,78,-29) (7/19,3/8) -> (9/2,23/5) Hyperbolic Matrix(2543,-966,3288,-1249) (11/29,19/50) -> (17/22,41/53) Hyperbolic Matrix(4851,-1844,5948,-2261) (19/50,27/71) -> (53/65,31/38) Hyperbolic Matrix(2035,-774,234,-89) (27/71,8/21) -> (26/3,9/1) Hyperbolic Matrix(587,-224,1250,-477) (8/21,21/55) -> (7/15,8/17) Hyperbolic Matrix(351,-136,622,-241) (5/13,7/18) -> (9/16,13/23) Hyperbolic Matrix(1631,-636,2526,-985) (7/18,16/41) -> (20/31,31/48) Hyperbolic Matrix(233,-92,38,-15) (9/23,2/5) -> (6/1,19/3) Hyperbolic Matrix(153,-62,116,-47) (2/5,7/17) -> (17/13,4/3) Hyperbolic Matrix(497,-206,152,-63) (7/17,5/12) -> (13/4,23/7) Hyperbolic Matrix(305,-128,722,-303) (5/12,8/19) -> (8/19,11/26) Parabolic Matrix(1885,-816,1356,-587) (3/7,13/30) -> (25/18,57/41) Hyperbolic Matrix(1091,-474,1770,-769) (13/30,10/23) -> (8/13,37/60) Hyperbolic Matrix(6169,-2688,2256,-983) (27/62,17/39) -> (41/15,93/34) Hyperbolic Matrix(1429,-624,300,-131) (17/39,7/16) -> (19/4,43/9) Hyperbolic Matrix(337,-148,526,-231) (7/16,4/9) -> (16/25,9/14) Hyperbolic Matrix(261,-118,334,-151) (4/9,5/11) -> (7/9,18/23) Hyperbolic Matrix(407,-186,186,-85) (5/11,6/13) -> (24/11,11/5) Hyperbolic Matrix(511,-244,622,-297) (8/17,1/2) -> (23/28,60/73) Hyperbolic Matrix(317,-170,386,-207) (1/2,7/13) -> (9/11,23/28) Hyperbolic Matrix(455,-246,246,-133) (7/13,6/11) -> (24/13,13/7) Hyperbolic Matrix(5577,-3064,1498,-823) (28/51,11/20) -> (67/18,108/29) Hyperbolic Matrix(2149,-1200,1524,-851) (5/9,19/34) -> (31/22,55/39) Hyperbolic Matrix(7897,-4416,4848,-2711) (19/34,33/59) -> (57/35,101/62) Hyperbolic Matrix(6505,-3648,2352,-1319) (37/66,23/41) -> (47/17,83/30) Hyperbolic Matrix(1453,-816,276,-155) (23/41,9/16) -> (21/4,37/7) Hyperbolic Matrix(205,-118,172,-99) (4/7,11/19) -> (13/11,6/5) Hyperbolic Matrix(513,-298,136,-79) (11/19,7/12) -> (15/4,19/5) Hyperbolic Matrix(341,-200,578,-339) (7/12,10/17) -> (10/17,13/22) Parabolic Matrix(571,-348,402,-245) (3/5,11/18) -> (17/12,27/19) Hyperbolic Matrix(2077,-1272,1272,-779) (11/18,19/31) -> (31/19,49/30) Hyperbolic Matrix(7897,-4848,4416,-2711) (27/44,35/57) -> (59/33,93/52) Hyperbolic Matrix(7081,-4368,3072,-1895) (37/60,29/47) -> (53/23,83/36) Hyperbolic Matrix(3907,-2412,1602,-989) (29/47,21/34) -> (39/16,61/25) Hyperbolic Matrix(1669,-1032,600,-371) (21/34,13/21) -> (25/9,39/14) Hyperbolic Matrix(367,-228,66,-41) (13/21,5/8) -> (11/2,17/3) Hyperbolic Matrix(6063,-3820,4306,-2713) (17/27,46/73) -> (38/27,69/49) Hyperbolic Matrix(15867,-10000,4438,-2797) (46/73,75/119) -> (25/7,118/33) Hyperbolic Matrix(2583,-1630,496,-313) (41/65,12/19) -> (26/5,47/9) Hyperbolic Matrix(1389,-878,1688,-1067) (12/19,31/49) -> (37/45,14/17) Hyperbolic Matrix(1019,-656,1412,-909) (9/14,20/31) -> (44/61,13/18) Hyperbolic Matrix(3511,-2268,918,-593) (31/48,11/17) -> (65/17,23/6) Hyperbolic Matrix(131,-86,32,-21) (11/17,2/3) -> (4/1,21/5) Hyperbolic Matrix(353,-242,512,-351) (2/3,11/16) -> (11/16,20/29) Parabolic Matrix(893,-620,350,-243) (9/13,16/23) -> (28/11,23/9) Hyperbolic Matrix(287,-200,254,-177) (16/23,7/10) -> (9/8,8/7) Hyperbolic Matrix(571,-402,348,-245) (7/10,12/17) -> (18/11,23/14) Hyperbolic Matrix(2149,-1524,1200,-851) (17/24,22/31) -> (34/19,43/24) Hyperbolic Matrix(757,-538,916,-651) (22/31,5/7) -> (19/23,24/29) Hyperbolic Matrix(1257,-902,1604,-1151) (5/7,23/32) -> (47/60,29/37) Hyperbolic Matrix(345,-248,32,-23) (23/32,18/25) -> (10/1,1/0) Hyperbolic Matrix(439,-318,156,-113) (13/18,8/11) -> (14/5,17/6) Hyperbolic Matrix(999,-728,188,-137) (8/11,27/37) -> (37/7,16/3) Hyperbolic Matrix(5401,-3942,3402,-2483) (27/37,46/63) -> (100/63,27/17) Hyperbolic Matrix(1153,-844,250,-183) (19/26,11/15) -> (23/5,37/8) Hyperbolic Matrix(623,-458,404,-297) (11/15,14/19) -> (20/13,17/11) Hyperbolic Matrix(807,-596,218,-161) (14/19,3/4) -> (37/10,26/7) Hyperbolic Matrix(153,-116,62,-47) (3/4,10/13) -> (22/9,5/2) Hyperbolic Matrix(609,-470,92,-71) (10/13,17/22) -> (13/2,20/3) Hyperbolic Matrix(3471,-2686,1552,-1201) (41/53,24/31) -> (38/17,47/21) Hyperbolic Matrix(1277,-990,396,-307) (24/31,7/9) -> (29/9,42/13) Hyperbolic Matrix(8297,-6498,3150,-2467) (18/23,47/60) -> (79/30,108/41) Hyperbolic Matrix(121,-96,150,-119) (11/14,4/5) -> (4/5,13/16) Parabolic Matrix(6255,-5086,1846,-1501) (13/16,48/59) -> (166/49,61/18) Hyperbolic Matrix(14397,-11738,5474,-4463) (22/27,53/65) -> (71/27,192/73) Hyperbolic Matrix(15411,-12668,4298,-3533) (60/73,37/45) -> (147/41,104/29) Hyperbolic Matrix(2717,-2252,1712,-1419) (24/29,5/6) -> (73/46,100/63) Hyperbolic Matrix(205,-172,118,-99) (5/6,6/7) -> (26/15,7/4) Hyperbolic Matrix(435,-376,376,-325) (6/7,13/15) -> (15/13,22/19) Hyperbolic Matrix(287,-254,200,-177) (7/8,1/1) -> (33/23,23/16) Hyperbolic Matrix(715,-796,256,-285) (10/9,9/8) -> (67/24,14/5) Hyperbolic Matrix(2251,-2608,826,-957) (22/19,7/6) -> (109/40,30/11) Hyperbolic Matrix(757,-916,538,-651) (6/5,23/19) -> (7/5,38/27) Hyperbolic Matrix(317,-386,170,-207) (17/14,11/9) -> (13/7,15/8) Hyperbolic Matrix(121,-150,96,-119) (11/9,5/4) -> (5/4,19/15) Parabolic Matrix(6261,-7942,2380,-3019) (52/41,33/26) -> (121/46,50/19) Hyperbolic Matrix(4519,-5742,1260,-1601) (47/37,14/11) -> (104/29,61/17) Hyperbolic Matrix(261,-334,118,-151) (14/11,9/7) -> (11/5,20/9) Hyperbolic Matrix(613,-790,142,-183) (9/7,31/24) -> (43/10,13/3) Hyperbolic Matrix(2543,-3288,966,-1249) (31/24,22/17) -> (50/19,79/30) Hyperbolic Matrix(799,-1036,118,-153) (35/27,13/10) -> (27/4,7/1) Hyperbolic Matrix(2203,-2872,1360,-1773) (13/10,30/23) -> (34/21,81/50) Hyperbolic Matrix(983,-1284,258,-337) (30/23,17/13) -> (19/5,42/11) Hyperbolic Matrix(849,-1148,230,-311) (4/3,23/17) -> (11/3,48/13) Hyperbolic Matrix(481,-654,114,-155) (19/14,15/11) -> (21/5,17/4) Hyperbolic Matrix(867,-1184,320,-437) (15/11,26/19) -> (46/17,19/7) Hyperbolic Matrix(4011,-5494,2848,-3901) (63/46,37/27) -> (69/49,31/22) Hyperbolic Matrix(1867,-2560,1048,-1437) (37/27,11/8) -> (57/32,41/23) Hyperbolic Matrix(3197,-4418,2312,-3195) (29/21,47/34) -> (47/34,65/47) Parabolic Matrix(1019,-1412,656,-909) (18/13,43/31) -> (45/29,14/9) Hyperbolic Matrix(857,-1194,384,-535) (32/23,7/5) -> (29/13,38/17) Hyperbolic Matrix(6967,-9826,2644,-3729) (55/39,79/56) -> (137/52,29/11) Hyperbolic Matrix(8377,-11820,3180,-4487) (79/56,24/17) -> (108/41,137/52) Hyperbolic Matrix(1575,-2258,422,-605) (10/7,33/23) -> (41/11,56/15) Hyperbolic Matrix(421,-606,66,-95) (23/16,13/9) -> (19/3,13/2) Hyperbolic Matrix(353,-512,242,-351) (13/9,16/11) -> (16/11,19/13) Parabolic Matrix(1631,-2526,636,-985) (17/11,31/20) -> (41/16,59/23) Hyperbolic Matrix(337,-526,148,-231) (14/9,11/7) -> (25/11,16/7) Hyperbolic Matrix(669,-1058,356,-563) (49/31,19/12) -> (15/8,17/9) Hyperbolic Matrix(2255,-3576,606,-961) (19/12,46/29) -> (26/7,67/18) Hyperbolic Matrix(5825,-9242,1628,-2583) (46/29,73/46) -> (93/26,68/19) Hyperbolic Matrix(3101,-5000,1922,-3099) (29/18,50/31) -> (50/31,71/44) Parabolic Matrix(3239,-5240,866,-1401) (55/34,89/55) -> (71/19,15/4) Hyperbolic Matrix(3465,-5608,1072,-1735) (89/55,34/21) -> (42/13,55/17) Hyperbolic Matrix(1091,-1770,474,-769) (47/29,13/8) -> (23/10,53/23) Hyperbolic Matrix(6901,-11244,1848,-3011) (101/62,44/27) -> (56/15,127/34) Hyperbolic Matrix(2009,-3282,636,-1039) (49/30,67/41) -> (41/13,19/6) Hyperbolic Matrix(1353,-2212,430,-703) (67/41,18/11) -> (22/7,41/13) Hyperbolic Matrix(143,-236,20,-33) (23/14,5/3) -> (7/1,15/2) Hyperbolic Matrix(341,-578,200,-339) (5/3,17/10) -> (17/10,29/17) Parabolic Matrix(1109,-1914,456,-787) (50/29,19/11) -> (17/7,56/23) Hyperbolic Matrix(351,-622,136,-241) (7/4,16/9) -> (18/7,31/12) Hyperbolic Matrix(911,-1626,330,-589) (41/23,25/14) -> (11/4,47/17) Hyperbolic Matrix(7513,-13438,2692,-4815) (93/52,34/19) -> (120/43,67/24) Hyperbolic Matrix(1605,-2876,716,-1283) (43/24,52/29) -> (56/25,9/4) Hyperbolic Matrix(1643,-2948,734,-1317) (52/29,9/5) -> (47/21,56/25) Hyperbolic Matrix(211,-382,58,-105) (9/5,11/6) -> (29/8,11/3) Hyperbolic Matrix(1331,-2450,722,-1329) (11/6,35/19) -> (35/19,59/32) Parabolic Matrix(501,-958,148,-283) (17/9,2/1) -> (44/13,105/31) Hyperbolic Matrix(291,-626,86,-185) (2/1,13/6) -> (27/8,44/13) Hyperbolic Matrix(1259,-2738,578,-1257) (13/6,37/17) -> (37/17,61/28) Parabolic Matrix(2493,-5714,476,-1091) (55/24,94/41) -> (68/13,21/4) Hyperbolic Matrix(3083,-7070,590,-1353) (94/41,39/17) -> (47/9,68/13) Hyperbolic Matrix(3343,-7674,1032,-2369) (101/44,62/27) -> (68/21,13/4) Hyperbolic Matrix(12153,-28022,3398,-7835) (83/36,113/49) -> (211/59,93/26) Hyperbolic Matrix(8525,-19664,2384,-5499) (113/49,30/13) -> (118/33,211/59) Hyperbolic Matrix(147,-340,16,-37) (30/13,7/3) -> (9/1,10/1) Hyperbolic Matrix(305,-722,128,-303) (7/3,19/8) -> (19/8,31/13) Parabolic Matrix(2059,-5014,802,-1953) (56/23,39/16) -> (77/30,18/7) Hyperbolic Matrix(819,-2096,152,-389) (23/9,41/16) -> (43/8,27/5) Hyperbolic Matrix(12161,-31202,3392,-8703) (59/23,136/53) -> (190/53,147/41) Hyperbolic Matrix(7979,-20478,2226,-5713) (136/53,77/30) -> (43/12,190/53) Hyperbolic Matrix(1417,-3712,418,-1095) (55/21,21/8) -> (61/18,17/5) Hyperbolic Matrix(12971,-34116,4686,-12325) (192/73,121/46) -> (155/56,36/13) Hyperbolic Matrix(4583,-12482,1682,-4581) (49/18,79/29) -> (79/29,109/40) Parabolic Matrix(2977,-8146,694,-1899) (93/34,52/19) -> (30/7,103/24) Hyperbolic Matrix(10235,-28322,3698,-10233) (83/30,119/43) -> (119/43,155/56) Parabolic Matrix(387,-1072,100,-277) (36/13,25/9) -> (27/7,4/1) Hyperbolic Matrix(1839,-5126,428,-1193) (39/14,53/19) -> (73/17,43/10) Hyperbolic Matrix(281,-800,98,-279) (17/6,20/7) -> (20/7,23/8) Parabolic Matrix(359,-1208,74,-249) (37/11,27/8) -> (29/6,5/1) Hyperbolic Matrix(8517,-28850,2228,-7547) (105/31,166/49) -> (172/45,65/17) Hyperbolic Matrix(85,-294,24,-83) (17/5,7/2) -> (7/2,25/7) Parabolic Matrix(363,-1312,70,-253) (18/5,47/13) -> (5/1,26/5) Hyperbolic Matrix(3911,-14450,1058,-3909) (48/13,85/23) -> (85/23,122/33) Parabolic Matrix(2903,-10812,606,-2257) (108/29,41/11) -> (91/19,24/5) Hyperbolic Matrix(5993,-22898,1568,-5991) (42/11,107/28) -> (107/28,172/45) Parabolic Matrix(221,-968,50,-219) (13/3,22/5) -> (22/5,31/7) Parabolic Matrix(1877,-8978,392,-1875) (43/9,67/14) -> (67/14,91/19) Parabolic Matrix(241,-1162,28,-135) (24/5,29/6) -> (17/2,26/3) Hyperbolic Matrix(185,-1058,32,-183) (17/3,23/4) -> (23/4,29/5) Parabolic Matrix(659,-4418,98,-657) (20/3,47/7) -> (47/7,74/11) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,50,1) Matrix(1123,530,820,387) -> Matrix(1,0,-38,1) Matrix(1931,906,714,335) -> Matrix(97,-2,728,-15) Matrix(1011,470,-3332,-1549) -> Matrix(103,-2,3760,-73) Matrix(2109,976,806,373) -> Matrix(195,-4,1414,-29) Matrix(497,228,-1794,-823) -> Matrix(1,0,-12,1) Matrix(297,136,998,457) -> Matrix(1,0,-28,1) Matrix(593,268,1082,489) -> Matrix(95,-2,1758,-37) Matrix(293,132,-1374,-619) -> Matrix(1,0,-14,1) Matrix(881,396,198,89) -> Matrix(189,-4,898,-19) Matrix(2543,1138,1562,699) -> Matrix(1,0,-36,1) Matrix(1851,826,1172,523) -> Matrix(373,-8,3870,-83) Matrix(675,298,-2512,-1109) -> Matrix(1,0,-12,1) Matrix(1933,852,4440,1957) -> Matrix(1,0,-28,1) Matrix(1353,596,-4538,-1999) -> Matrix(93,-2,3488,-75) Matrix(387,170,1828,803) -> Matrix(93,-2,2000,-43) Matrix(671,294,-1536,-673) -> Matrix(185,-4,8464,-183) Matrix(4213,1838,1726,753) -> Matrix(1,0,-38,1) Matrix(193,84,1050,457) -> Matrix(93,-2,2000,-43) Matrix(1815,788,1048,455) -> Matrix(93,-2,884,-19) Matrix(759,328,1238,535) -> Matrix(91,-2,1502,-33) Matrix(749,318,-2532,-1075) -> Matrix(89,-2,3338,-75) Matrix(2435,1032,-8808,-3733) -> Matrix(177,-4,6328,-143) Matrix(2063,874,2528,1071) -> Matrix(91,-2,1320,-29) Matrix(653,276,750,317) -> Matrix(1,0,-30,1) Matrix(185,78,-1212,-511) -> Matrix(91,-2,2776,-61) Matrix(371,156,654,275) -> Matrix(89,-2,1558,-35) Matrix(463,194,1210,507) -> Matrix(89,-2,1558,-35) Matrix(279,116,-926,-385) -> Matrix(1,0,-8,1) Matrix(1197,496,1016,421) -> Matrix(89,-2,1024,-23) Matrix(1103,456,462,191) -> Matrix(441,-10,3484,-79) Matrix(459,188,730,299) -> Matrix(1,0,-28,1) Matrix(1097,448,1550,633) -> Matrix(87,-2,1436,-33) Matrix(457,186,-1914,-779) -> Matrix(87,-2,3176,-73) Matrix(637,258,1632,661) -> Matrix(173,-4,3244,-75) Matrix(1607,634,2228,879) -> Matrix(257,-6,3898,-91) Matrix(625,246,-2406,-947) -> Matrix(85,-2,3188,-75) Matrix(265,104,1246,489) -> Matrix(169,-4,3676,-87) Matrix(267,104,706,275) -> Matrix(1,0,-24,1) Matrix(2031,788,616,239) -> Matrix(85,-2,468,-11) Matrix(351,136,-2026,-785) -> Matrix(253,-6,8054,-191) Matrix(1055,408,618,239) -> Matrix(589,-14,5848,-139) Matrix(1049,402,-3588,-1375) -> Matrix(83,-2,3030,-73) Matrix(439,168,1398,535) -> Matrix(1,0,-22,1) Matrix(1921,734,6556,2505) -> Matrix(89,-2,1736,-39) Matrix(1571,600,-7512,-2869) -> Matrix(169,-4,5704,-135) Matrix(173,66,-1308,-499) -> Matrix(251,-6,7572,-181) Matrix(611,232,956,363) -> Matrix(83,-2,1536,-37) Matrix(607,230,958,363) -> Matrix(83,-2,1204,-29) Matrix(257,96,174,65) -> Matrix(165,-4,1774,-43) Matrix(6525,2422,2492,925) -> Matrix(409,-10,2904,-71) Matrix(3521,1306,1286,477) -> Matrix(245,-6,1756,-43) Matrix(941,348,-3426,-1267) -> Matrix(163,-4,5746,-141) Matrix(1543,570,1968,727) -> Matrix(245,-6,3716,-91) Matrix(1197,440,1450,533) -> Matrix(83,-2,1204,-29) Matrix(425,156,-2046,-751) -> Matrix(163,-4,5420,-133) Matrix(1447,530,172,63) -> Matrix(1,0,-38,1) Matrix(1961,718,254,93) -> Matrix(81,-2,284,-7) Matrix(5787,2116,3662,1339) -> Matrix(571,-14,5914,-145) Matrix(597,218,-3404,-1243) -> Matrix(163,-4,5094,-125) Matrix(171,62,-764,-277) -> Matrix(81,-2,2714,-67) Matrix(255,92,-2198,-793) -> Matrix(485,-12,14348,-355) Matrix(2363,852,4224,1523) -> Matrix(161,-4,2858,-71) Matrix(1431,514,2024,727) -> Matrix(161,-4,2536,-63) Matrix(419,150,-1176,-421) -> Matrix(321,-8,12800,-319) Matrix(5195,1846,3014,1071) -> Matrix(1,0,-30,1) Matrix(1085,384,1506,533) -> Matrix(317,-8,4874,-123) Matrix(1413,496,584,205) -> Matrix(81,-2,608,-15) Matrix(333,116,910,317) -> Matrix(79,-2,1462,-37) Matrix(869,276,318,101) -> Matrix(1,0,-30,1) Matrix(787,248,238,75) -> Matrix(75,-2,488,-13) Matrix(1413,440,1018,317) -> Matrix(75,-2,788,-21) Matrix(311,96,-1014,-313) -> Matrix(223,-6,8214,-221) Matrix(2099,642,546,167) -> Matrix(73,-2,402,-11) Matrix(1867,570,1320,403) -> Matrix(221,-6,2468,-67) Matrix(3879,1178,2170,659) -> Matrix(293,-8,3040,-83) Matrix(389,118,-3412,-1035) -> Matrix(731,-20,21528,-589) Matrix(2787,844,776,235) -> Matrix(145,-4,834,-23) Matrix(771,230,-4388,-1309) -> Matrix(77,-2,2426,-63) Matrix(3307,984,5226,1555) -> Matrix(1,0,-22,1) Matrix(4377,1300,3074,913) -> Matrix(1,0,-26,1) Matrix(155,46,1304,387) -> Matrix(221,-6,5120,-139) Matrix(1765,522,612,181) -> Matrix(149,-4,1006,-27) Matrix(1301,384,1074,317) -> Matrix(293,-8,3626,-99) Matrix(1529,448,686,201) -> Matrix(71,-2,604,-17) Matrix(3507,1024,1298,379) -> Matrix(73,-2,548,-15) Matrix(1141,332,3124,909) -> Matrix(73,-2,1278,-35) Matrix(2209,642,5784,1681) -> Matrix(145,-4,2574,-71) Matrix(683,198,990,287) -> Matrix(361,-10,5740,-159) Matrix(827,232,524,147) -> Matrix(67,-2,704,-21) Matrix(675,188,298,83) -> Matrix(1,0,-28,1) Matrix(2167,600,372,103) -> Matrix(73,-2,256,-7) Matrix(20297,5610,6270,1733) -> Matrix(711,-20,4586,-129) Matrix(30669,8476,8210,2269) -> Matrix(567,-16,3154,-89) Matrix(6415,1772,1792,495) -> Matrix(1,0,-30,1) Matrix(1191,328,374,103) -> Matrix(71,-2,462,-13) Matrix(2755,756,594,163) -> Matrix(141,-4,670,-19) Matrix(221,60,372,101) -> Matrix(71,-2,1172,-33) Matrix(3247,872,3988,1071) -> Matrix(141,-4,2080,-59) Matrix(2141,574,884,237) -> Matrix(137,-4,1062,-31) Matrix(587,156,222,59) -> Matrix(69,-2,518,-15) Matrix(1025,268,218,57) -> Matrix(67,-2,302,-9) Matrix(2557,666,1386,361) -> Matrix(53,-2,504,-19) Matrix(1017,262,656,169) -> Matrix(71,-2,746,-21) Matrix(1139,274,212,51) -> Matrix(67,-2,302,-9) Matrix(2629,630,1206,289) -> Matrix(55,-2,468,-17) Matrix(1201,284,850,201) -> Matrix(139,-4,1564,-45) Matrix(563,132,354,83) -> Matrix(67,-2,704,-21) Matrix(209,48,492,113) -> Matrix(69,-2,1208,-35) Matrix(1813,410,1048,237) -> Matrix(69,-2,656,-19) Matrix(977,220,3344,753) -> Matrix(129,-4,2548,-79) Matrix(899,196,344,75) -> Matrix(65,-2,488,-15) Matrix(895,194,346,75) -> Matrix(69,-2,518,-15) Matrix(2539,540,1782,379) -> Matrix(1,0,-22,1) Matrix(549,116,478,101) -> Matrix(67,-2,838,-25) Matrix(2597,544,2048,429) -> Matrix(137,-4,1610,-47) Matrix(14471,3022,5186,1083) -> Matrix(1073,-32,8014,-239) Matrix(11125,2322,2592,541) -> Matrix(535,-16,2976,-89) Matrix(1975,408,1428,295) -> Matrix(199,-6,2156,-65) Matrix(871,168,534,103) -> Matrix(1,0,-22,1) Matrix(467,88,398,75) -> Matrix(1,0,-20,1) Matrix(729,136,134,25) -> Matrix(1,0,-28,1) Matrix(131,24,-726,-133) -> Matrix(193,-6,6144,-191) Matrix(4475,802,2762,495) -> Matrix(127,-4,1048,-33) Matrix(1247,222,264,47) -> Matrix(127,-4,540,-17) Matrix(11137,1956,3012,529) -> Matrix(505,-16,2746,-87) Matrix(3009,526,1310,229) -> Matrix(125,-4,1094,-35) Matrix(1239,212,976,167) -> Matrix(65,-2,748,-23) Matrix(775,126,1224,199) -> Matrix(63,-2,914,-29) Matrix(1027,164,1672,267) -> Matrix(125,-4,2094,-67) Matrix(191,30,834,131) -> Matrix(435,-14,9104,-293) Matrix(955,144,126,19) -> Matrix(123,-4,400,-13) Matrix(1143,170,316,47) -> Matrix(61,-2,336,-11) Matrix(625,84,186,25) -> Matrix(61,-2,336,-11) Matrix(1801,234,1116,145) -> Matrix(481,-16,4780,-159) Matrix(493,60,1290,157) -> Matrix(59,-2,1092,-37) Matrix(2869,330,426,49) -> Matrix(59,-2,974,-33) Matrix(843,88,182,19) -> Matrix(175,-6,846,-29) Matrix(479,46,656,63) -> Matrix(173,-6,2624,-91) Matrix(345,-32,248,-23) -> Matrix(47,-2,588,-25) Matrix(2035,-234,774,-89) -> Matrix(93,-4,628,-27) Matrix(475,-64,334,-45) -> Matrix(137,-6,1530,-67) Matrix(609,-92,470,-71) -> Matrix(269,-12,3116,-139) Matrix(233,-38,92,-15) -> Matrix(89,-4,690,-31) Matrix(367,-66,228,-41) -> Matrix(131,-6,1332,-61) Matrix(819,-152,2096,-389) -> Matrix(87,-4,1588,-73) Matrix(1453,-276,816,-155) -> Matrix(1,0,-12,1) Matrix(497,-96,906,-175) -> Matrix(87,-4,1588,-73) Matrix(359,-74,1208,-249) -> Matrix(43,-2,796,-37) Matrix(1429,-300,624,-131) -> Matrix(1,0,-12,1) Matrix(355,-78,132,-29) -> Matrix(43,-2,280,-13) Matrix(221,-50,968,-219) -> Matrix(505,-24,10584,-503) Matrix(701,-164,218,-51) -> Matrix(41,-2,308,-15) Matrix(131,-32,86,-21) -> Matrix(1,0,-10,1) Matrix(513,-136,298,-79) -> Matrix(121,-6,1190,-59) Matrix(425,-114,384,-103) -> Matrix(43,-2,538,-25) Matrix(2255,-606,3576,-961) -> Matrix(83,-4,1266,-61) Matrix(807,-218,596,-161) -> Matrix(83,-4,934,-45) Matrix(211,-58,382,-105) -> Matrix(41,-2,718,-35) Matrix(85,-24,294,-83) -> Matrix(121,-6,2400,-119) Matrix(4555,-1332,5598,-1637) -> Matrix(551,-28,8206,-417) Matrix(4843,-1420,7684,-2253) -> Matrix(313,-16,4832,-247) Matrix(291,-86,626,-185) -> Matrix(39,-2,722,-37) Matrix(6455,-1916,2456,-729) -> Matrix(39,-2,254,-13) Matrix(497,-152,206,-63) -> Matrix(41,-2,308,-15) Matrix(701,-218,164,-51) -> Matrix(1,0,-14,1) Matrix(123,-40,40,-13) -> Matrix(39,-2,254,-13) Matrix(439,-156,318,-113) -> Matrix(75,-4,844,-45) Matrix(1669,-600,1032,-371) -> Matrix(73,-4,712,-39) Matrix(3691,-1332,2142,-773) -> Matrix(73,-4,712,-39) Matrix(911,-330,1626,-589) -> Matrix(37,-2,648,-35) Matrix(6169,-2256,2688,-983) -> Matrix(77,-4,674,-35) Matrix(1501,-552,552,-203) -> Matrix(1,0,-12,1) Matrix(355,-132,78,-29) -> Matrix(1,0,-14,1) Matrix(2543,-966,3288,-1249) -> Matrix(141,-8,2168,-123) Matrix(4851,-1844,5948,-2261) -> Matrix(69,-4,1018,-59) Matrix(2035,-774,234,-89) -> Matrix(1,0,-16,1) Matrix(587,-224,1250,-477) -> Matrix(1,0,0,1) Matrix(351,-136,622,-241) -> Matrix(1,0,-2,1) Matrix(1631,-636,2526,-985) -> Matrix(113,-6,1940,-103) Matrix(233,-92,38,-15) -> Matrix(37,-2,130,-7) Matrix(153,-62,116,-47) -> Matrix(37,-2,426,-23) Matrix(497,-206,152,-63) -> Matrix(1,0,-12,1) Matrix(305,-128,722,-303) -> Matrix(109,-6,1944,-107) Matrix(1885,-816,1356,-587) -> Matrix(1,0,-4,1) Matrix(1091,-474,1770,-769) -> Matrix(39,-2,644,-33) Matrix(6169,-2688,2256,-983) -> Matrix(73,-4,566,-31) Matrix(1429,-624,300,-131) -> Matrix(71,-4,302,-17) Matrix(337,-148,526,-231) -> Matrix(1,0,0,1) Matrix(261,-118,334,-151) -> Matrix(33,-2,512,-31) Matrix(407,-186,186,-85) -> Matrix(31,-2,264,-17) Matrix(511,-244,622,-297) -> Matrix(35,-2,508,-29) Matrix(317,-170,386,-207) -> Matrix(35,-2,508,-29) Matrix(455,-246,246,-133) -> Matrix(29,-2,276,-19) Matrix(5577,-3064,1498,-823) -> Matrix(35,-2,228,-13) Matrix(2149,-1200,1524,-851) -> Matrix(141,-8,1604,-91) Matrix(7897,-4416,4848,-2711) -> Matrix(69,-4,742,-43) Matrix(6505,-3648,2352,-1319) -> Matrix(139,-8,1060,-61) Matrix(1453,-816,276,-155) -> Matrix(69,-4,328,-19) Matrix(205,-118,172,-99) -> Matrix(35,-2,438,-25) Matrix(513,-298,136,-79) -> Matrix(1,0,-12,1) Matrix(341,-200,578,-339) -> Matrix(103,-6,1734,-101) Matrix(571,-348,402,-245) -> Matrix(67,-4,754,-45) Matrix(2077,-1272,1272,-779) -> Matrix(1,0,-6,1) Matrix(7897,-4848,4416,-2711) -> Matrix(71,-4,728,-41) Matrix(7081,-4368,3072,-1895) -> Matrix(395,-24,3374,-205) Matrix(3907,-2412,1602,-989) -> Matrix(65,-4,504,-31) Matrix(1669,-1032,600,-371) -> Matrix(65,-4,504,-31) Matrix(367,-228,66,-41) -> Matrix(1,0,-12,1) Matrix(6063,-3820,4306,-2713) -> Matrix(125,-8,1422,-91) Matrix(15867,-10000,4438,-2797) -> Matrix(371,-24,2056,-133) Matrix(2583,-1630,496,-313) -> Matrix(29,-2,160,-11) Matrix(1389,-878,1688,-1067) -> Matrix(31,-2,450,-29) Matrix(1019,-656,1412,-909) -> Matrix(33,-2,512,-31) Matrix(3511,-2268,918,-593) -> Matrix(137,-8,668,-39) Matrix(131,-86,32,-21) -> Matrix(33,-2,182,-11) Matrix(353,-242,512,-351) -> Matrix(193,-12,3072,-191) Matrix(893,-620,350,-243) -> Matrix(31,-2,264,-17) Matrix(287,-200,254,-177) -> Matrix(63,-4,772,-49) Matrix(571,-402,348,-245) -> Matrix(31,-2,326,-21) Matrix(2149,-1524,1200,-851) -> Matrix(191,-12,1926,-121) Matrix(757,-538,916,-651) -> Matrix(157,-10,2308,-147) Matrix(1257,-902,1604,-1151) -> Matrix(29,-2,450,-31) Matrix(345,-248,32,-23) -> Matrix(31,-2,78,-5) Matrix(439,-318,156,-113) -> Matrix(29,-2,218,-15) Matrix(999,-728,188,-137) -> Matrix(61,-4,290,-19) Matrix(5401,-3942,3402,-2483) -> Matrix(153,-10,1576,-103) Matrix(1153,-844,250,-183) -> Matrix(1,0,-10,1) Matrix(623,-458,404,-297) -> Matrix(31,-2,326,-21) Matrix(807,-596,218,-161) -> Matrix(29,-2,160,-11) Matrix(153,-116,62,-47) -> Matrix(1,0,-8,1) Matrix(609,-470,92,-71) -> Matrix(31,-2,16,-1) Matrix(3471,-2686,1552,-1201) -> Matrix(521,-34,4214,-275) Matrix(1277,-990,396,-307) -> Matrix(91,-6,622,-41) Matrix(8297,-6498,3150,-2467) -> Matrix(61,-4,534,-35) Matrix(121,-96,150,-119) -> Matrix(91,-6,1350,-89) Matrix(6255,-5086,1846,-1501) -> Matrix(1,0,-8,1) Matrix(14397,-11738,5474,-4463) -> Matrix(59,-4,310,-21) Matrix(15411,-12668,4298,-3533) -> Matrix(29,-2,160,-11) Matrix(2717,-2252,1712,-1419) -> Matrix(233,-16,2432,-167) Matrix(205,-172,118,-99) -> Matrix(57,-4,556,-39) Matrix(435,-376,376,-325) -> Matrix(31,-2,388,-25) Matrix(287,-254,200,-177) -> Matrix(89,-6,994,-67) Matrix(715,-796,256,-285) -> Matrix(151,-12,1120,-89) Matrix(2251,-2608,826,-957) -> Matrix(25,-2,238,-19) Matrix(757,-916,538,-651) -> Matrix(49,-4,576,-47) Matrix(317,-386,170,-207) -> Matrix(123,-10,1144,-93) Matrix(121,-150,96,-119) -> Matrix(97,-8,1152,-95) Matrix(6261,-7942,2380,-3019) -> Matrix(47,-4,388,-33) Matrix(4519,-5742,1260,-1601) -> Matrix(23,-2,150,-13) Matrix(261,-334,118,-151) -> Matrix(71,-6,580,-49) Matrix(613,-790,142,-183) -> Matrix(93,-8,500,-43) Matrix(2543,-3288,966,-1249) -> Matrix(23,-2,196,-17) Matrix(799,-1036,118,-153) -> Matrix(23,-2,196,-17) Matrix(2203,-2872,1360,-1773) -> Matrix(45,-4,394,-35) Matrix(983,-1284,258,-337) -> Matrix(21,-2,116,-11) Matrix(849,-1148,230,-311) -> Matrix(91,-8,512,-45) Matrix(481,-654,114,-155) -> Matrix(23,-2,104,-9) Matrix(867,-1184,320,-437) -> Matrix(1,0,-4,1) Matrix(4011,-5494,2848,-3901) -> Matrix(21,-2,242,-23) Matrix(1867,-2560,1048,-1437) -> Matrix(1,0,-2,1) Matrix(3197,-4418,2312,-3195) -> Matrix(133,-12,1452,-131) Matrix(1019,-1412,656,-909) -> Matrix(23,-2,242,-21) Matrix(857,-1194,384,-535) -> Matrix(71,-6,580,-49) Matrix(6967,-9826,2644,-3729) -> Matrix(91,-8,694,-61) Matrix(8377,-11820,3180,-4487) -> Matrix(45,-4,394,-35) Matrix(1575,-2258,422,-605) -> Matrix(157,-14,886,-79) Matrix(421,-606,66,-95) -> Matrix(67,-6,190,-17) Matrix(353,-512,242,-351) -> Matrix(243,-22,2662,-241) Matrix(1631,-2526,636,-985) -> Matrix(43,-4,312,-29) Matrix(337,-526,148,-231) -> Matrix(21,-2,200,-19) Matrix(669,-1058,356,-563) -> Matrix(103,-10,958,-93) Matrix(2255,-3576,606,-961) -> Matrix(21,-2,116,-11) Matrix(5825,-9242,1628,-2583) -> Matrix(43,-4,226,-21) Matrix(3101,-5000,1922,-3099) -> Matrix(301,-30,3000,-299) Matrix(3239,-5240,866,-1401) -> Matrix(77,-8,414,-43) Matrix(3465,-5608,1072,-1735) -> Matrix(113,-12,744,-79) Matrix(1091,-1770,474,-769) -> Matrix(23,-2,196,-17) Matrix(6901,-11244,1848,-3011) -> Matrix(125,-12,698,-67) Matrix(2009,-3282,636,-1039) -> Matrix(21,-2,158,-15) Matrix(1353,-2212,430,-703) -> Matrix(21,-2,116,-11) Matrix(143,-236,20,-33) -> Matrix(21,-2,74,-7) Matrix(341,-578,200,-339) -> Matrix(201,-20,2000,-199) Matrix(1109,-1914,456,-787) -> Matrix(19,-2,162,-17) Matrix(351,-622,136,-241) -> Matrix(21,-2,158,-15) Matrix(911,-1626,330,-589) -> Matrix(21,-2,158,-15) Matrix(7513,-13438,2692,-4815) -> Matrix(431,-42,3212,-313) Matrix(1605,-2876,716,-1283) -> Matrix(181,-18,1438,-143) Matrix(1643,-2948,734,-1317) -> Matrix(239,-24,1922,-193) Matrix(211,-382,58,-105) -> Matrix(19,-2,124,-13) Matrix(1331,-2450,722,-1329) -> Matrix(609,-64,5776,-607) Matrix(501,-958,148,-283) -> Matrix(1,0,-2,1) Matrix(291,-626,86,-185) -> Matrix(17,-2,128,-15) Matrix(1259,-2738,578,-1257) -> Matrix(477,-56,4046,-475) Matrix(2493,-5714,476,-1091) -> Matrix(91,-10,446,-49) Matrix(3083,-7070,590,-1353) -> Matrix(143,-16,724,-81) Matrix(3343,-7674,1032,-2369) -> Matrix(123,-14,782,-89) Matrix(12153,-28022,3398,-7835) -> Matrix(647,-76,3550,-417) Matrix(8525,-19664,2384,-5499) -> Matrix(509,-60,2808,-331) Matrix(147,-340,16,-37) -> Matrix(17,-2,26,-3) Matrix(305,-722,128,-303) -> Matrix(129,-16,1024,-127) Matrix(2059,-5014,802,-1953) -> Matrix(15,-2,128,-17) Matrix(819,-2096,152,-389) -> Matrix(31,-4,132,-17) Matrix(12161,-31202,3392,-8703) -> Matrix(1,0,-2,1) Matrix(7979,-20478,2226,-5713) -> Matrix(13,-2,72,-11) Matrix(1417,-3712,418,-1095) -> Matrix(29,-4,196,-27) Matrix(12971,-34116,4686,-12325) -> Matrix(5,-2,38,-15) Matrix(4583,-12482,1682,-4581) -> Matrix(1,0,4,1) Matrix(2977,-8146,694,-1899) -> Matrix(59,-8,332,-45) Matrix(10235,-28322,3698,-10233) -> Matrix(301,-40,2250,-299) Matrix(387,-1072,100,-277) -> Matrix(15,-2,68,-9) Matrix(1839,-5126,428,-1193) -> Matrix(61,-8,328,-43) Matrix(281,-800,98,-279) -> Matrix(99,-14,686,-97) Matrix(359,-1208,74,-249) -> Matrix(1,0,-2,1) Matrix(8517,-28850,2228,-7547) -> Matrix(155,-22,768,-109) Matrix(85,-294,24,-83) -> Matrix(25,-4,144,-23) Matrix(363,-1312,70,-253) -> Matrix(1,0,0,1) Matrix(3911,-14450,1058,-3909) -> Matrix(177,-32,968,-175) Matrix(2903,-10812,606,-2257) -> Matrix(61,-10,238,-39) Matrix(5993,-22898,1568,-5991) -> Matrix(241,-48,1200,-239) Matrix(221,-968,50,-219) -> Matrix(51,-10,250,-49) Matrix(1877,-8978,392,-1875) -> Matrix(97,-24,384,-95) Matrix(241,-1162,28,-135) -> Matrix(7,-2,18,-5) Matrix(185,-1058,32,-183) -> Matrix(33,-8,128,-31) Matrix(659,-4418,98,-657) -> Matrix(1,0,26,1) 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): 108 Degree of the the map X: 108 Degree of the the map Y: 324 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 0/1 25 1 0/1 1/26 1 27 1/9 (3/70,1/23) 0 27 1/8 1/23 6 3 1/7 (1/23,3/68) 0 27 2/13 3/67 1 9 1/6 (4/89,1/22) 0 27 2/11 1/22 1 27 3/16 (2/43,1/21) 0 27 4/21 1/22 1 27 1/5 2/43 1 9 5/24 (6/127,1/21) 0 27 4/19 1/20 1 27 3/14 (2/43,3/64) 0 27 2/9 5/106 1 27 5/22 1/21 12 1 3/13 (1/21,7/146) 0 27 4/17 1/21 1 9 1/4 (1/21,2/41) 0 27 4/15 1/20 1 27 11/41 (3/64,1/21) 0 27 7/26 0 9 3/11 (1/21,1/20) 0 27 5/18 (1/21,2/41) 0 27 2/7 1/20 3 3 7/24 (5/99,4/79) 0 27 12/41 17/334 1 27 5/17 (1/20,1/19) 0 27 8/27 3/58 1 27 3/10 (1/20,2/39) 0 27 4/13 1/20 1 27 5/16 0 9 1/3 (1/20,1/19) 0 27 5/14 (1/19,2/37) 0 27 9/25 (1/18,1/17) 0 27 13/36 (0/1,1/17) 0 27 4/11 1/19 1 9 11/30 (0/1,1/18) 0 27 7/19 (1/19,1/18) 0 27 3/8 (1/19,2/37) 0 27 8/21 1/18 1 27 5/13 0/1 1 3 7/18 (0/1,1/19) 0 27 16/41 1/19 1 9 9/23 (1/20,1/19) 0 27 2/5 1/18 1 27 7/17 2/37 1 9 5/12 (2/37,1/18) 0 27 8/19 1/18 3 1 3/7 (1/18,1/17) 0 27 13/30 (0/1,1/13) 0 27 10/23 1/19 1 9 17/39 (5/91,1/18) 0 27 7/16 (2/35,1/17) 0 27 4/9 1/18 1 27 5/11 (1/17,1/16) 0 27 6/13 1/20 1 27 7/15 (1/19,1/18) 0 27 1/2 0 9 7/13 (1/17,1/16) 0 27 6/11 1/20 1 27 11/20 (0/1,1/17) 0 27 5/9 (1/18,1/17) 0 27 19/34 (2/35,1/17) 0 27 14/25 1/17 1 9 37/66 (3/53,2/35) 0 27 23/41 (3/52,1/17) 0 27 9/16 (0/1,1/17) 0 27 4/7 1/16 1 27 11/19 2/35 1 9 7/12 (2/35,1/17) 0 27 10/17 1/17 3 1 3/5 (1/17,1/16) 0 27 11/18 (1/17,2/33) 0 27 19/31 (1/17,1/16) 0 27 8/13 1/17 1 9 37/60 (13/215,2/33) 0 27 29/47 (5/82,3/49) 0 27 21/34 (1/17,2/33) 0 27 13/21 (3/49,1/16) 0 27 5/8 (2/33,1/16) 0 27 12/19 1/16 1 27 7/11 0/1 2 3 9/14 (2/35,1/17) 0 27 20/31 1/17 1 9 31/48 (6/103,1/17) 0 27 11/17 (1/17,5/84) 0 27 2/3 1/16 1 27 11/16 1/16 6 1 9/13 (1/16,5/79) 0 27 16/23 3/47 1 9 7/10 (1/16,2/31) 0 27 12/17 1/16 1 27 17/24 (4/65,1/16) 0 27 22/31 13/206 1 27 5/7 2/31 1 9 23/32 (3/47,2/31) 0 27 18/25 7/108 1 27 13/18 (4/61,1/15) 0 27 8/11 1/16 1 27 27/37 (3/46,1/15) 0 27 19/26 1/15 6 3 11/15 (1/15,1/14) 0 27 14/19 1/15 1 9 3/4 (0/1,1/16) 0 27 10/13 5/78 1 27 17/22 0 9 24/31 17/260 1 27 7/9 (1/16,1/15) 0 27 18/23 3/46 1 27 11/14 (4/61,1/15) 0 27 4/5 1/15 3 3 13/16 (1/15,2/29) 0 27 22/27 5/74 1 27 9/11 (1/15,3/44) 0 27 23/28 0 9 14/17 1/14 1 27 5/6 (2/29,3/43) 0 27 6/7 1/14 1 27 7/8 0 9 1/1 (1/14,1/13) 0 27 10/9 3/38 1 27 9/8 (2/25,1/12) 0 27 8/7 1/13 1 9 7/6 (2/25,1/12) 0 27 13/11 0/1 1 9 6/5 3/38 1 27 17/14 (3/37,4/49) 0 27 11/9 (5/61,1/12) 0 27 5/4 1/12 4 3 19/15 (1/12,3/35) 0 27 33/26 (4/47,3/35) 0 27 14/11 1/12 1 27 9/7 (1/12,3/35) 0 27 31/24 (3/35,2/23) 0 27 22/17 3/35 1 9 35/27 (7/81,9/104) 0 27 13/10 (2/23,5/57) 0 27 30/23 9/100 1 27 17/13 0/1 1 9 4/3 1/12 1 27 23/17 (3/34,1/11) 0 27 19/14 0 9 15/11 (1/11,1/10) 0 27 26/19 1/11 1 3 37/27 (1/12,1/11) 0 27 11/8 (2/23,1/11) 0 27 29/21 (5/56,1/11) 0 27 47/34 1/11 6 1 18/13 1/10 1 27 25/18 (0/1,1/9) 0 27 57/41 (1/14,1/13) 0 27 32/23 5/62 1 27 7/5 2/23 1 9 31/22 (2/23,5/57) 0 27 55/39 (5/57,3/34) 0 27 79/56 3/34 2 1 24/17 3/34 1 27 17/12 (2/23,1/11) 0 27 27/19 (3/34,1/11) 0 27 37/26 1/11 6 3 10/7 3/34 1 27 33/23 (5/56,11/123) 0 27 23/16 0 9 13/9 (9/100,1/11) 0 27 16/11 1/11 11 1 3/2 (1/11,2/21) 0 27 20/13 1/11 1 9 17/11 (1/11,3/32) 0 27 31/20 0 9 14/9 3/32 1 27 11/7 2/21 2 3 19/12 (3/31,4/41) 0 27 8/5 1/10 1 27 29/18 (10/101,1/10) 0 27 50/31 1/10 15 1 21/13 (1/10,5/49) 0 27 55/34 (3/29,2/19) 0 27 89/55 2/19 7 3 34/21 5/46 1 27 47/29 (1/8,1/7) 0 27 13/8 0 9 31/19 (1/11,1/10) 0 27 49/30 (1/11,2/21) 0 27 67/41 2/21 1 1 18/11 1/10 1 27 23/14 (0/1,1/10) 0 27 5/3 (3/31,1/10) 0 27 17/10 1/10 10 1 12/7 1/10 1 27 31/18 (5/49,4/39) 0 27 50/29 1/10 1 27 19/11 4/39 1 9 26/15 1/10 1 27 7/4 (2/19,1/9) 0 27 16/9 1/10 1 27 57/32 (2/19,1/9) 0 27 41/23 (1/10,1/9) 0 27 25/14 0 9 34/19 11/112 1 27 43/24 (16/161,1/10) 0 27 52/29 1/10 21 1 9/5 (1/10,5/49) 0 27 11/6 (5/48,2/19) 0 27 35/19 2/19 8 1 24/13 11/104 1 27 13/7 (5/47,3/28) 0 27 15/8 (2/19,1/9) 0 27 2/1 1/9 1 9 13/6 (5/43,2/17) 0 27 37/17 2/17 7 1 24/11 9/76 1 27 11/5 (3/25,1/8) 0 27 20/9 1/8 1 27 9/4 (1/8,2/15) 0 27 16/7 1/8 1 27 55/24 (6/55,1/9) 0 27 94/41 1/9 13 1 39/17 (1/9,7/62) 0 27 23/10 0 9 53/23 (7/60,9/77) 0 27 83/36 (25/213,2/17) 0 27 113/49 2/17 17 1 30/13 9/76 1 27 7/3 (3/25,1/8) 0 27 19/8 1/8 8 1 12/5 1/8 1 27 29/12 (1/8,4/31) 0 27 17/7 2/15 1 9 56/23 1/8 1 27 39/16 (3/23,2/15) 0 27 22/9 5/38 1 27 5/2 (0/1,1/8) 0 27 28/11 1/7 1 9 23/9 (1/8,3/23) 0 27 41/16 0 9 59/23 (1/8,1/7) 0 27 136/53 1/7 1 1 77/30 (0/1,1/7) 0 27 18/7 1/8 1 27 13/5 2/15 1 3 21/8 (2/15,1/7) 0 27 8/3 3/22 1 27 27/10 (0/1,1/8) 0 27 46/17 1/7 1 3 19/7 (1/7,1/6) 0 27 49/18 (0/1,1/6) 0 27 79/29 0/1 2 1 30/11 1/8 1 27 11/4 0 9 47/17 (1/8,3/23) 0 27 83/30 (7/53,2/15) 0 27 119/43 2/15 5 1 36/13 3/22 1 27 25/9 (1/8,1/7) 0 27 39/14 (3/23,2/15) 0 27 53/19 2/15 7 3 67/24 (2/15,7/52) 0 27 14/5 3/22 1 27 17/6 (6/43,1/7) 0 27 20/7 1/7 7 1 3/1 (1/7,1/6) 0 27 16/5 1/7 1 9 29/9 (1/7,5/34) 0 27 42/13 13/86 1 27 55/17 2/13 7 3 13/4 (2/13,1/6) 0 27 23/7 2/13 1 9 10/3 1/6 1 27 27/8 (0/1,1/5) 0 27 44/13 1/7 1 9 17/5 (1/7,3/20) 0 27 7/2 1/6 2 3 25/7 (3/17,5/28) 0 27 43/12 (2/11,1/5) 0 27 18/5 3/16 1 27 29/8 (0/1,1/4) 0 27 11/3 (1/6,3/17) 0 27 48/13 5/28 1 27 85/23 2/11 4 1 37/10 (2/11,3/16) 0 27 26/7 1/5 1 9 41/11 (1/6,5/29) 0 27 56/15 5/28 1 27 71/19 2/11 7 3 15/4 (2/11,1/5) 0 27 19/5 2/11 1 9 42/11 11/56 1 27 107/28 1/5 24 1 65/17 (1/5,13/64) 0 27 23/6 (1/5,2/9) 0 27 4/1 1/6 1 27 21/5 (1/5,3/14) 0 27 17/4 0 9 30/7 1/6 1 27 73/17 2/11 7 3 43/10 (2/11,1/5) 0 27 13/3 (3/16,1/5) 0 27 22/5 1/5 5 1 9/2 (1/5,2/9) 0 27 23/5 (1/5,1/4) 0 27 37/8 1/5 6 3 14/3 3/14 1 27 19/4 (2/9,3/13) 0 27 43/9 (9/37,1/4) 0 27 67/14 1/4 12 1 24/5 1/4 1 27 5/1 0/1 1 9 21/4 (1/5,4/19) 0 27 37/7 (1/5,1/4) 0 27 16/3 3/14 1 27 11/2 (2/9,1/4) 0 27 17/3 (3/13,1/4) 0 27 23/4 1/4 4 1 6/1 1/4 1 27 19/3 (3/10,1/3) 0 27 13/2 0 9 20/3 -1/2 1 27 47/7 0/1 13 1 27/4 (0/1,1/11) 0 27 7/1 (1/5,1/4) 0 27 15/2 (1/4,2/7) 0 27 8/1 1/3 1 3 9/1 (1/3,1/2) 0 27 10/1 1/6 1 27 1/0 (0/1,1/1) 0 27 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(-1,0,2,1) (-1/1,0/1) -> (-1/1,0/1) Reflection Matrix(345,-32,248,-23) (0/1,1/9) -> (57/41,32/23) Hyperbolic Matrix(387,-46,530,-63) (1/9,1/8) -> (27/37,19/26) Glide Reflection Matrix(475,-64,334,-45) (1/8,1/7) -> (27/19,37/26) Hyperbolic Matrix(609,-92,470,-71) (1/7,2/13) -> (22/17,35/27) Hyperbolic Matrix(233,-38,92,-15) (2/13,1/6) -> (5/2,28/11) Hyperbolic Matrix(367,-66,228,-41) (1/6,2/11) -> (8/5,29/18) Hyperbolic Matrix(457,-84,136,-25) (2/11,3/16) -> (10/3,27/8) Glide Reflection Matrix(1453,-276,816,-155) (3/16,4/21) -> (16/9,57/32) Hyperbolic Matrix(225,-44,46,-9) (4/21,1/5) -> (24/5,5/1) Glide Reflection Matrix(225,-46,44,-9) (1/5,5/24) -> (5/1,21/4) Glide Reflection Matrix(1429,-300,624,-131) (5/24,4/19) -> (16/7,55/24) Hyperbolic Matrix(803,-170,222,-47) (4/19,3/14) -> (18/5,29/8) Glide Reflection Matrix(355,-78,132,-29) (3/14,2/9) -> (8/3,27/10) Hyperbolic Matrix(89,-20,396,-89) (2/9,5/22) -> (2/9,5/22) Reflection Matrix(131,-30,572,-131) (5/22,3/13) -> (5/22,3/13) Reflection Matrix(701,-164,218,-51) (3/13,4/17) -> (16/5,29/9) Hyperbolic Matrix(131,-32,86,-21) (4/17,1/4) -> (3/2,20/13) Hyperbolic Matrix(513,-136,298,-79) (1/4,4/15) -> (12/7,31/18) Hyperbolic Matrix(425,-114,384,-103) (4/15,11/41) -> (1/1,10/9) Hyperbolic Matrix(1957,-526,852,-229) (11/41,7/26) -> (39/17,23/10) Glide Reflection Matrix(807,-218,596,-161) (7/26,3/11) -> (23/17,19/14) Hyperbolic Matrix(211,-58,382,-105) (3/11,5/18) -> (11/20,5/9) Hyperbolic Matrix(85,-24,294,-83) (5/18,2/7) -> (2/7,7/24) Parabolic Matrix(1253,-366,962,-281) (7/24,12/41) -> (13/10,30/23) Glide Reflection Matrix(2505,-734,1546,-453) (12/41,5/17) -> (34/21,47/29) Glide Reflection Matrix(291,-86,626,-185) (5/17,8/27) -> (6/13,7/15) Hyperbolic Matrix(457,-136,84,-25) (8/27,3/10) -> (16/3,11/2) Glide Reflection Matrix(497,-152,206,-63) (3/10,4/13) -> (12/5,29/12) Hyperbolic Matrix(701,-218,164,-51) (4/13,5/16) -> (17/4,30/7) Hyperbolic Matrix(535,-168,328,-103) (5/16,1/3) -> (13/8,31/19) Glide Reflection Matrix(439,-156,318,-113) (1/3,5/14) -> (11/8,29/21) Hyperbolic Matrix(1669,-600,1032,-371) (5/14,9/25) -> (21/13,55/34) Hyperbolic Matrix(1509,-544,1190,-429) (9/25,13/36) -> (19/15,33/26) Glide Reflection Matrix(911,-330,1626,-589) (13/36,4/11) -> (14/25,37/66) Hyperbolic Matrix(317,-116,276,-101) (4/11,11/30) -> (8/7,7/6) Glide Reflection Matrix(1501,-552,552,-203) (11/30,7/19) -> (19/7,49/18) Hyperbolic Matrix(355,-132,78,-29) (7/19,3/8) -> (9/2,23/5) Hyperbolic Matrix(275,-104,156,-59) (3/8,8/21) -> (7/4,16/9) Glide Reflection Matrix(507,-194,196,-75) (8/21,5/13) -> (18/7,13/5) Glide Reflection Matrix(507,-196,194,-75) (5/13,7/18) -> (13/5,21/8) Glide Reflection Matrix(1631,-636,2526,-985) (7/18,16/41) -> (20/31,31/48) Hyperbolic Matrix(1709,-668,504,-197) (16/41,9/23) -> (44/13,17/5) Glide Reflection Matrix(233,-92,38,-15) (9/23,2/5) -> (6/1,19/3) Hyperbolic Matrix(153,-62,116,-47) (2/5,7/17) -> (17/13,4/3) Hyperbolic Matrix(497,-206,152,-63) (7/17,5/12) -> (13/4,23/7) Hyperbolic Matrix(191,-80,456,-191) (5/12,8/19) -> (5/12,8/19) Reflection Matrix(113,-48,266,-113) (8/19,3/7) -> (8/19,3/7) Reflection Matrix(1885,-816,1356,-587) (3/7,13/30) -> (25/18,57/41) Hyperbolic Matrix(1091,-474,1770,-769) (13/30,10/23) -> (8/13,37/60) Hyperbolic Matrix(1957,-852,526,-229) (10/23,17/39) -> (26/7,41/11) Glide Reflection Matrix(1429,-624,300,-131) (17/39,7/16) -> (19/4,43/9) Hyperbolic Matrix(299,-132,188,-83) (7/16,4/9) -> (19/12,8/5) Glide Reflection Matrix(261,-118,334,-151) (4/9,5/11) -> (7/9,18/23) Hyperbolic Matrix(407,-186,186,-85) (5/11,6/13) -> (24/11,11/5) Hyperbolic Matrix(661,-310,258,-121) (7/15,1/2) -> (23/9,41/16) Glide Reflection Matrix(317,-170,386,-207) (1/2,7/13) -> (9/11,23/28) Hyperbolic Matrix(455,-246,246,-133) (7/13,6/11) -> (24/13,13/7) Hyperbolic Matrix(489,-268,104,-57) (6/11,11/20) -> (14/3,19/4) Glide Reflection Matrix(2149,-1200,1524,-851) (5/9,19/34) -> (31/22,55/39) Hyperbolic Matrix(1523,-852,1178,-659) (19/34,14/25) -> (31/24,22/17) Glide Reflection Matrix(6505,-3648,2352,-1319) (37/66,23/41) -> (47/17,83/30) Hyperbolic Matrix(1453,-816,276,-155) (23/41,9/16) -> (21/4,37/7) Hyperbolic Matrix(275,-156,104,-59) (9/16,4/7) -> (21/8,8/3) Glide Reflection Matrix(205,-118,172,-99) (4/7,11/19) -> (13/11,6/5) Hyperbolic Matrix(513,-298,136,-79) (11/19,7/12) -> (15/4,19/5) Hyperbolic Matrix(239,-140,408,-239) (7/12,10/17) -> (7/12,10/17) Reflection Matrix(101,-60,170,-101) (10/17,3/5) -> (10/17,3/5) Reflection Matrix(571,-348,402,-245) (3/5,11/18) -> (17/12,27/19) Hyperbolic Matrix(2077,-1272,1272,-779) (11/18,19/31) -> (31/19,49/30) Hyperbolic Matrix(535,-328,168,-103) (19/31,8/13) -> (3/1,16/5) Glide Reflection Matrix(7081,-4368,3072,-1895) (37/60,29/47) -> (53/23,83/36) Hyperbolic Matrix(2871,-1772,802,-495) (29/47,21/34) -> (25/7,43/12) Glide Reflection Matrix(1669,-1032,600,-371) (21/34,13/21) -> (25/9,39/14) Hyperbolic Matrix(367,-228,66,-41) (13/21,5/8) -> (11/2,17/3) Hyperbolic Matrix(299,-188,132,-83) (5/8,12/19) -> (9/4,16/7) Glide Reflection Matrix(363,-230,232,-147) (12/19,7/11) -> (14/9,11/7) Glide Reflection Matrix(363,-232,230,-147) (7/11,9/14) -> (11/7,19/12) Glide Reflection Matrix(493,-318,262,-169) (9/14,20/31) -> (15/8,2/1) Glide Reflection Matrix(3511,-2268,918,-593) (31/48,11/17) -> (65/17,23/6) Hyperbolic Matrix(131,-86,32,-21) (11/17,2/3) -> (4/1,21/5) Hyperbolic Matrix(65,-44,96,-65) (2/3,11/16) -> (2/3,11/16) Reflection Matrix(287,-198,416,-287) (11/16,9/13) -> (11/16,9/13) Reflection Matrix(893,-620,350,-243) (9/13,16/23) -> (28/11,23/9) Hyperbolic Matrix(287,-200,254,-177) (16/23,7/10) -> (9/8,8/7) Hyperbolic Matrix(571,-402,348,-245) (7/10,12/17) -> (18/11,23/14) Hyperbolic Matrix(633,-448,284,-201) (12/17,17/24) -> (20/9,9/4) Glide Reflection Matrix(2149,-1524,1200,-851) (17/24,22/31) -> (34/19,43/24) Hyperbolic Matrix(441,-314,316,-225) (22/31,5/7) -> (32/23,7/5) Glide Reflection Matrix(441,-316,314,-225) (5/7,23/32) -> (7/5,31/22) Glide Reflection Matrix(345,-248,32,-23) (23/32,18/25) -> (10/1,1/0) Hyperbolic Matrix(533,-384,440,-317) (18/25,13/18) -> (6/5,17/14) Glide Reflection Matrix(439,-318,156,-113) (13/18,8/11) -> (14/5,17/6) Hyperbolic Matrix(999,-728,188,-137) (8/11,27/37) -> (37/7,16/3) Hyperbolic Matrix(1153,-844,250,-183) (19/26,11/15) -> (23/5,37/8) Hyperbolic Matrix(623,-458,404,-297) (11/15,14/19) -> (20/13,17/11) Hyperbolic Matrix(807,-596,218,-161) (14/19,3/4) -> (37/10,26/7) Hyperbolic Matrix(153,-116,62,-47) (3/4,10/13) -> (22/9,5/2) Hyperbolic Matrix(609,-470,92,-71) (10/13,17/22) -> (13/2,20/3) Hyperbolic Matrix(1523,-1178,852,-659) (17/22,24/31) -> (25/14,34/19) Glide Reflection Matrix(1277,-990,396,-307) (24/31,7/9) -> (29/9,42/13) Hyperbolic Matrix(727,-570,514,-403) (18/23,11/14) -> (24/17,17/12) Glide Reflection Matrix(121,-96,150,-119) (11/14,4/5) -> (4/5,13/16) Parabolic Matrix(685,-558,178,-145) (13/16,22/27) -> (23/6,4/1) Glide Reflection Matrix(1071,-874,386,-315) (22/27,9/11) -> (36/13,25/9) Glide Reflection Matrix(919,-756,592,-487) (23/28,14/17) -> (31/20,14/9) Glide Reflection Matrix(533,-440,384,-317) (14/17,5/6) -> (18/13,25/18) Glide Reflection Matrix(205,-172,118,-99) (5/6,6/7) -> (26/15,7/4) Hyperbolic Matrix(317,-276,116,-101) (6/7,7/8) -> (30/11,11/4) Glide Reflection Matrix(287,-254,200,-177) (7/8,1/1) -> (33/23,23/16) Hyperbolic Matrix(715,-796,256,-285) (10/9,9/8) -> (67/24,14/5) Hyperbolic Matrix(421,-496,174,-205) (7/6,13/11) -> (29/12,17/7) Glide Reflection Matrix(317,-386,170,-207) (17/14,11/9) -> (13/7,15/8) Hyperbolic Matrix(121,-150,96,-119) (11/9,5/4) -> (5/4,19/15) Parabolic Matrix(1641,-2084,952,-1209) (33/26,14/11) -> (31/18,50/29) Glide Reflection Matrix(261,-334,118,-151) (14/11,9/7) -> (11/5,20/9) Hyperbolic Matrix(613,-790,142,-183) (9/7,31/24) -> (43/10,13/3) Hyperbolic Matrix(799,-1036,118,-153) (35/27,13/10) -> (27/4,7/1) Hyperbolic Matrix(983,-1284,258,-337) (30/23,17/13) -> (19/5,42/11) Hyperbolic Matrix(849,-1148,230,-311) (4/3,23/17) -> (11/3,48/13) Hyperbolic Matrix(481,-654,114,-155) (19/14,15/11) -> (21/5,17/4) Hyperbolic Matrix(867,-1184,320,-437) (15/11,26/19) -> (46/17,19/7) Hyperbolic Matrix(387,-530,46,-63) (26/19,37/27) -> (8/1,9/1) Glide Reflection Matrix(1867,-2560,1048,-1437) (37/27,11/8) -> (57/32,41/23) Hyperbolic Matrix(1973,-2726,1428,-1973) (29/21,47/34) -> (29/21,47/34) Reflection Matrix(1223,-1692,884,-1223) (47/34,18/13) -> (47/34,18/13) Reflection Matrix(6161,-8690,4368,-6161) (55/39,79/56) -> (55/39,79/56) Reflection Matrix(2687,-3792,1904,-2687) (79/56,24/17) -> (79/56,24/17) Reflection Matrix(623,-888,134,-191) (37/26,10/7) -> (37/8,14/3) Glide Reflection Matrix(1575,-2258,422,-605) (10/7,33/23) -> (41/11,56/15) Hyperbolic Matrix(421,-606,66,-95) (23/16,13/9) -> (19/3,13/2) Hyperbolic Matrix(287,-416,198,-287) (13/9,16/11) -> (13/9,16/11) Reflection Matrix(65,-96,44,-65) (16/11,3/2) -> (16/11,3/2) Reflection Matrix(1631,-2526,636,-985) (17/11,31/20) -> (41/16,59/23) Hyperbolic Matrix(1799,-2900,1116,-1799) (29/18,50/31) -> (29/18,50/31) Reflection Matrix(1301,-2100,806,-1301) (50/31,21/13) -> (50/31,21/13) Reflection Matrix(3239,-5240,866,-1401) (55/34,89/55) -> (71/19,15/4) Hyperbolic Matrix(3465,-5608,1072,-1735) (89/55,34/21) -> (42/13,55/17) Hyperbolic Matrix(1091,-1770,474,-769) (47/29,13/8) -> (23/10,53/23) Hyperbolic Matrix(4019,-6566,2460,-4019) (49/30,67/41) -> (49/30,67/41) Reflection Matrix(1475,-2412,902,-1475) (67/41,18/11) -> (67/41,18/11) Reflection Matrix(143,-236,20,-33) (23/14,5/3) -> (7/1,15/2) Hyperbolic Matrix(101,-170,60,-101) (5/3,17/10) -> (5/3,17/10) Reflection Matrix(239,-408,140,-239) (17/10,12/7) -> (17/10,12/7) Reflection Matrix(1109,-1914,456,-787) (50/29,19/11) -> (17/7,56/23) Hyperbolic Matrix(455,-788,138,-239) (19/11,26/15) -> (23/7,10/3) Glide Reflection Matrix(911,-1626,330,-589) (41/23,25/14) -> (11/4,47/17) Hyperbolic Matrix(2495,-4472,1392,-2495) (43/24,52/29) -> (43/24,52/29) Reflection Matrix(521,-936,290,-521) (52/29,9/5) -> (52/29,9/5) Reflection Matrix(211,-382,58,-105) (9/5,11/6) -> (29/8,11/3) Hyperbolic Matrix(419,-770,228,-419) (11/6,35/19) -> (11/6,35/19) Reflection Matrix(911,-1680,494,-911) (35/19,24/13) -> (35/19,24/13) Reflection Matrix(291,-626,86,-185) (2/1,13/6) -> (27/8,44/13) Hyperbolic Matrix(443,-962,204,-443) (13/6,37/17) -> (13/6,37/17) Reflection Matrix(815,-1776,374,-815) (37/17,24/11) -> (37/17,24/11) Reflection Matrix(4511,-10340,1968,-4511) (55/24,94/41) -> (55/24,94/41) Reflection Matrix(3197,-7332,1394,-3197) (94/41,39/17) -> (94/41,39/17) Reflection Matrix(8135,-18758,3528,-8135) (83/36,113/49) -> (83/36,113/49) Reflection Matrix(2939,-6780,1274,-2939) (113/49,30/13) -> (113/49,30/13) Reflection Matrix(147,-340,16,-37) (30/13,7/3) -> (9/1,10/1) Hyperbolic Matrix(113,-266,48,-113) (7/3,19/8) -> (7/3,19/8) Reflection Matrix(191,-456,80,-191) (19/8,12/5) -> (19/8,12/5) Reflection Matrix(2059,-5014,802,-1953) (56/23,39/16) -> (77/30,18/7) Hyperbolic Matrix(675,-1648,188,-459) (39/16,22/9) -> (43/12,18/5) Glide Reflection Matrix(6255,-16048,2438,-6255) (59/23,136/53) -> (59/23,136/53) Reflection Matrix(8161,-20944,3180,-8161) (136/53,77/30) -> (136/53,77/30) Reflection Matrix(335,-906,44,-119) (27/10,46/17) -> (15/2,8/1) Glide Reflection Matrix(2843,-7742,1044,-2843) (49/18,79/29) -> (49/18,79/29) Reflection Matrix(1739,-4740,638,-1739) (79/29,30/11) -> (79/29,30/11) Reflection Matrix(7139,-19754,2580,-7139) (83/30,119/43) -> (83/30,119/43) Reflection Matrix(3095,-8568,1118,-3095) (119/43,36/13) -> (119/43,36/13) Reflection Matrix(1839,-5126,428,-1193) (39/14,53/19) -> (73/17,43/10) Hyperbolic Matrix(1567,-4374,484,-1351) (53/19,67/24) -> (55/17,13/4) Glide Reflection Matrix(239,-680,84,-239) (17/6,20/7) -> (17/6,20/7) Reflection Matrix(41,-120,14,-41) (20/7,3/1) -> (20/7,3/1) Reflection Matrix(85,-294,24,-83) (17/5,7/2) -> (7/2,25/7) Parabolic Matrix(2209,-8160,598,-2209) (48/13,85/23) -> (48/13,85/23) Reflection Matrix(1701,-6290,460,-1701) (85/23,37/10) -> (85/23,37/10) Reflection Matrix(1665,-6218,388,-1449) (56/15,71/19) -> (30/7,73/17) Glide Reflection Matrix(2353,-8988,616,-2353) (42/11,107/28) -> (42/11,107/28) Reflection Matrix(3639,-13910,952,-3639) (107/28,65/17) -> (107/28,65/17) Reflection Matrix(131,-572,30,-131) (13/3,22/5) -> (13/3,22/5) Reflection Matrix(89,-396,20,-89) (22/5,9/2) -> (22/5,9/2) Reflection Matrix(1205,-5762,252,-1205) (43/9,67/14) -> (43/9,67/14) Reflection Matrix(671,-3216,140,-671) (67/14,24/5) -> (67/14,24/5) Reflection Matrix(137,-782,24,-137) (17/3,23/4) -> (17/3,23/4) Reflection Matrix(47,-276,8,-47) (23/4,6/1) -> (23/4,6/1) Reflection Matrix(281,-1880,42,-281) (20/3,47/7) -> (20/3,47/7) Reflection Matrix(377,-2538,56,-377) (47/7,27/4) -> (47/7,27/4) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,2,-1) (-1/1,1/0) -> (0/1,1/1) Matrix(-1,0,2,1) -> Matrix(1,0,52,-1) (-1/1,0/1) -> (0/1,1/26) Matrix(345,-32,248,-23) -> Matrix(47,-2,588,-25) Matrix(387,-46,530,-63) -> Matrix(139,-6,2108,-91) Matrix(475,-64,334,-45) -> Matrix(137,-6,1530,-67) Matrix(609,-92,470,-71) -> Matrix(269,-12,3116,-139) Matrix(233,-38,92,-15) -> Matrix(89,-4,690,-31) Matrix(367,-66,228,-41) -> Matrix(131,-6,1332,-61) Matrix(457,-84,136,-25) -> Matrix(43,-2,236,-11) Matrix(1453,-276,816,-155) -> Matrix(1,0,-12,1) 0/1 Matrix(225,-44,46,-9) -> Matrix(43,-2,150,-7) Matrix(225,-46,44,-9) -> Matrix(43,-2,236,-11) Matrix(1429,-300,624,-131) -> Matrix(1,0,-12,1) 0/1 Matrix(803,-170,222,-47) -> Matrix(43,-2,236,-11) Matrix(355,-78,132,-29) -> Matrix(43,-2,280,-13) Matrix(89,-20,396,-89) -> Matrix(211,-10,4452,-211) (2/9,5/22) -> (5/106,1/21) Matrix(131,-30,572,-131) -> Matrix(293,-14,6132,-293) (5/22,3/13) -> (1/21,7/146) Matrix(701,-164,218,-51) -> Matrix(41,-2,308,-15) Matrix(131,-32,86,-21) -> Matrix(1,0,-10,1) 0/1 Matrix(513,-136,298,-79) -> Matrix(121,-6,1190,-59) Matrix(425,-114,384,-103) -> Matrix(43,-2,538,-25) Matrix(1957,-526,852,-229) -> Matrix(83,-4,726,-35) Matrix(807,-218,596,-161) -> Matrix(83,-4,934,-45) Matrix(211,-58,382,-105) -> Matrix(41,-2,718,-35) Matrix(85,-24,294,-83) -> Matrix(121,-6,2400,-119) 1/20 Matrix(1253,-366,962,-281) -> Matrix(197,-10,2226,-113) Matrix(2505,-734,1546,-453) -> Matrix(39,-2,292,-15) Matrix(291,-86,626,-185) -> Matrix(39,-2,722,-37) 1/19 Matrix(457,-136,84,-25) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(497,-152,206,-63) -> Matrix(41,-2,308,-15) Matrix(701,-218,164,-51) -> Matrix(1,0,-14,1) 0/1 Matrix(535,-168,328,-103) -> Matrix(1,0,30,-1) *** -> (0/1,1/15) Matrix(439,-156,318,-113) -> Matrix(75,-4,844,-45) Matrix(1669,-600,1032,-371) -> Matrix(73,-4,712,-39) Matrix(1509,-544,1190,-429) -> Matrix(71,-4,834,-47) Matrix(911,-330,1626,-589) -> Matrix(37,-2,648,-35) 1/18 Matrix(317,-116,276,-101) -> Matrix(37,-2,462,-25) Matrix(1501,-552,552,-203) -> Matrix(1,0,-12,1) 0/1 Matrix(355,-132,78,-29) -> Matrix(1,0,-14,1) 0/1 Matrix(275,-104,156,-59) -> Matrix(1,0,28,-1) *** -> (0/1,1/14) Matrix(507,-194,196,-75) -> Matrix(35,-2,262,-15) Matrix(507,-196,194,-75) -> Matrix(39,-2,292,-15) Matrix(1631,-636,2526,-985) -> Matrix(113,-6,1940,-103) Matrix(1709,-668,504,-197) -> Matrix(37,-2,240,-13) Matrix(233,-92,38,-15) -> Matrix(37,-2,130,-7) Matrix(153,-62,116,-47) -> Matrix(37,-2,426,-23) Matrix(497,-206,152,-63) -> Matrix(1,0,-12,1) 0/1 Matrix(191,-80,456,-191) -> Matrix(73,-4,1332,-73) (5/12,8/19) -> (2/37,1/18) Matrix(113,-48,266,-113) -> Matrix(35,-2,612,-35) (8/19,3/7) -> (1/18,1/17) Matrix(1885,-816,1356,-587) -> Matrix(1,0,-4,1) 0/1 Matrix(1091,-474,1770,-769) -> Matrix(39,-2,644,-33) Matrix(1957,-852,526,-229) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(1429,-624,300,-131) -> Matrix(71,-4,302,-17) Matrix(299,-132,188,-83) -> Matrix(37,-2,388,-21) Matrix(261,-118,334,-151) -> Matrix(33,-2,512,-31) 1/16 Matrix(407,-186,186,-85) -> Matrix(31,-2,264,-17) Matrix(661,-310,258,-121) -> Matrix(35,-2,262,-15) Matrix(317,-170,386,-207) -> Matrix(35,-2,508,-29) Matrix(455,-246,246,-133) -> Matrix(29,-2,276,-19) Matrix(489,-268,104,-57) -> Matrix(37,-2,166,-9) Matrix(2149,-1200,1524,-851) -> Matrix(141,-8,1604,-91) Matrix(1523,-852,1178,-659) -> Matrix(71,-4,834,-47) Matrix(6505,-3648,2352,-1319) -> Matrix(139,-8,1060,-61) Matrix(1453,-816,276,-155) -> Matrix(69,-4,328,-19) Matrix(275,-156,104,-59) -> Matrix(35,-2,262,-15) Matrix(205,-118,172,-99) -> Matrix(35,-2,438,-25) Matrix(513,-298,136,-79) -> Matrix(1,0,-12,1) 0/1 Matrix(239,-140,408,-239) -> Matrix(69,-4,1190,-69) (7/12,10/17) -> (2/35,1/17) Matrix(101,-60,170,-101) -> Matrix(33,-2,544,-33) (10/17,3/5) -> (1/17,1/16) Matrix(571,-348,402,-245) -> Matrix(67,-4,754,-45) Matrix(2077,-1272,1272,-779) -> Matrix(1,0,-6,1) 0/1 Matrix(535,-328,168,-103) -> Matrix(33,-2,214,-13) Matrix(7081,-4368,3072,-1895) -> Matrix(395,-24,3374,-205) Matrix(2871,-1772,802,-495) -> Matrix(1,0,22,-1) *** -> (0/1,1/11) Matrix(1669,-1032,600,-371) -> Matrix(65,-4,504,-31) Matrix(367,-228,66,-41) -> Matrix(1,0,-12,1) 0/1 Matrix(299,-188,132,-83) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(363,-230,232,-147) -> Matrix(29,-2,304,-21) Matrix(363,-232,230,-147) -> Matrix(37,-2,388,-21) Matrix(493,-318,262,-169) -> Matrix(69,-4,638,-37) Matrix(3511,-2268,918,-593) -> Matrix(137,-8,668,-39) Matrix(131,-86,32,-21) -> Matrix(33,-2,182,-11) Matrix(65,-44,96,-65) -> Matrix(33,-2,544,-33) (2/3,11/16) -> (1/17,1/16) Matrix(287,-198,416,-287) -> Matrix(159,-10,2528,-159) (11/16,9/13) -> (1/16,5/79) Matrix(893,-620,350,-243) -> Matrix(31,-2,264,-17) Matrix(287,-200,254,-177) -> Matrix(63,-4,772,-49) Matrix(571,-402,348,-245) -> Matrix(31,-2,326,-21) Matrix(633,-448,284,-201) -> Matrix(33,-2,280,-17) Matrix(2149,-1524,1200,-851) -> Matrix(191,-12,1926,-121) Matrix(441,-314,316,-225) -> Matrix(63,-4,740,-47) Matrix(441,-316,314,-225) -> Matrix(61,-4,686,-45) Matrix(345,-248,32,-23) -> Matrix(31,-2,78,-5) Matrix(533,-384,440,-317) -> Matrix(123,-8,1522,-99) Matrix(439,-318,156,-113) -> Matrix(29,-2,218,-15) Matrix(999,-728,188,-137) -> Matrix(61,-4,290,-19) Matrix(1153,-844,250,-183) -> Matrix(1,0,-10,1) 0/1 Matrix(623,-458,404,-297) -> Matrix(31,-2,326,-21) Matrix(807,-596,218,-161) -> Matrix(29,-2,160,-11) Matrix(153,-116,62,-47) -> Matrix(1,0,-8,1) 0/1 Matrix(609,-470,92,-71) -> Matrix(31,-2,16,-1) Matrix(1523,-1178,852,-659) -> Matrix(123,-8,1276,-83) Matrix(1277,-990,396,-307) -> Matrix(91,-6,622,-41) Matrix(727,-570,514,-403) -> Matrix(91,-6,1016,-67) Matrix(121,-96,150,-119) -> Matrix(91,-6,1350,-89) 1/15 Matrix(685,-558,178,-145) -> Matrix(59,-4,280,-19) Matrix(1071,-874,386,-315) -> Matrix(29,-2,188,-13) Matrix(919,-756,592,-487) -> Matrix(59,-4,634,-43) Matrix(533,-440,384,-317) -> Matrix(29,-2,304,-21) Matrix(205,-172,118,-99) -> Matrix(57,-4,556,-39) Matrix(317,-276,116,-101) -> Matrix(1,0,22,-1) *** -> (0/1,1/11) Matrix(287,-254,200,-177) -> Matrix(89,-6,994,-67) Matrix(715,-796,256,-285) -> Matrix(151,-12,1120,-89) Matrix(421,-496,174,-205) -> Matrix(23,-2,172,-15) Matrix(317,-386,170,-207) -> Matrix(123,-10,1144,-93) Matrix(121,-150,96,-119) -> Matrix(97,-8,1152,-95) 1/12 Matrix(1641,-2084,952,-1209) -> Matrix(95,-8,938,-79) Matrix(261,-334,118,-151) -> Matrix(71,-6,580,-49) Matrix(613,-790,142,-183) -> Matrix(93,-8,500,-43) Matrix(799,-1036,118,-153) -> Matrix(23,-2,196,-17) Matrix(983,-1284,258,-337) -> Matrix(21,-2,116,-11) Matrix(849,-1148,230,-311) -> Matrix(91,-8,512,-45) Matrix(481,-654,114,-155) -> Matrix(23,-2,104,-9) Matrix(867,-1184,320,-437) -> Matrix(1,0,-4,1) 0/1 Matrix(387,-530,46,-63) -> Matrix(1,0,14,-1) *** -> (0/1,1/7) Matrix(1867,-2560,1048,-1437) -> Matrix(1,0,-2,1) 0/1 Matrix(1973,-2726,1428,-1973) -> Matrix(111,-10,1232,-111) (29/21,47/34) -> (5/56,1/11) Matrix(1223,-1692,884,-1223) -> Matrix(21,-2,220,-21) (47/34,18/13) -> (1/11,1/10) Matrix(6161,-8690,4368,-6161) -> Matrix(341,-30,3876,-341) (55/39,79/56) -> (5/57,3/34) Matrix(2687,-3792,1904,-2687) -> Matrix(67,-6,748,-67) (79/56,24/17) -> (3/34,1/11) Matrix(623,-888,134,-191) -> Matrix(1,0,16,-1) *** -> (0/1,1/8) Matrix(1575,-2258,422,-605) -> Matrix(157,-14,886,-79) Matrix(421,-606,66,-95) -> Matrix(67,-6,190,-17) Matrix(287,-416,198,-287) -> Matrix(199,-18,2200,-199) (13/9,16/11) -> (9/100,1/11) Matrix(65,-96,44,-65) -> Matrix(43,-4,462,-43) (16/11,3/2) -> (1/11,2/21) Matrix(1631,-2526,636,-985) -> Matrix(43,-4,312,-29) Matrix(1799,-2900,1116,-1799) -> Matrix(201,-20,2020,-201) (29/18,50/31) -> (10/101,1/10) Matrix(1301,-2100,806,-1301) -> Matrix(99,-10,980,-99) (50/31,21/13) -> (1/10,5/49) Matrix(3239,-5240,866,-1401) -> Matrix(77,-8,414,-43) Matrix(3465,-5608,1072,-1735) -> Matrix(113,-12,744,-79) Matrix(1091,-1770,474,-769) -> Matrix(23,-2,196,-17) Matrix(4019,-6566,2460,-4019) -> Matrix(43,-4,462,-43) (49/30,67/41) -> (1/11,2/21) Matrix(1475,-2412,902,-1475) -> Matrix(41,-4,420,-41) (67/41,18/11) -> (2/21,1/10) Matrix(143,-236,20,-33) -> Matrix(21,-2,74,-7) Matrix(101,-170,60,-101) -> Matrix(61,-6,620,-61) (5/3,17/10) -> (3/31,1/10) Matrix(239,-408,140,-239) -> Matrix(139,-14,1380,-139) (17/10,12/7) -> (1/10,7/69) Matrix(1109,-1914,456,-787) -> Matrix(19,-2,162,-17) 1/9 Matrix(455,-788,138,-239) -> Matrix(19,-2,104,-11) Matrix(911,-1626,330,-589) -> Matrix(21,-2,158,-15) Matrix(2495,-4472,1392,-2495) -> Matrix(321,-32,3220,-321) (43/24,52/29) -> (16/161,1/10) Matrix(521,-936,290,-521) -> Matrix(99,-10,980,-99) (52/29,9/5) -> (1/10,5/49) Matrix(211,-382,58,-105) -> Matrix(19,-2,124,-13) Matrix(419,-770,228,-419) -> Matrix(191,-20,1824,-191) (11/6,35/19) -> (5/48,2/19) Matrix(911,-1680,494,-911) -> Matrix(417,-44,3952,-417) (35/19,24/13) -> (2/19,11/104) Matrix(291,-626,86,-185) -> Matrix(17,-2,128,-15) 1/8 Matrix(443,-962,204,-443) -> Matrix(171,-20,1462,-171) (13/6,37/17) -> (5/43,2/17) Matrix(815,-1776,374,-815) -> Matrix(305,-36,2584,-305) (37/17,24/11) -> (2/17,9/76) Matrix(4511,-10340,1968,-4511) -> Matrix(109,-12,990,-109) (55/24,94/41) -> (6/55,1/9) Matrix(3197,-7332,1394,-3197) -> Matrix(125,-14,1116,-125) (94/41,39/17) -> (1/9,7/62) Matrix(8135,-18758,3528,-8135) -> Matrix(851,-100,7242,-851) (83/36,113/49) -> (25/213,2/17) Matrix(2939,-6780,1274,-2939) -> Matrix(305,-36,2584,-305) (113/49,30/13) -> (2/17,9/76) Matrix(147,-340,16,-37) -> Matrix(17,-2,26,-3) Matrix(113,-266,48,-113) -> Matrix(49,-6,400,-49) (7/3,19/8) -> (3/25,1/8) Matrix(191,-456,80,-191) -> Matrix(79,-10,624,-79) (19/8,12/5) -> (1/8,5/39) Matrix(2059,-5014,802,-1953) -> Matrix(15,-2,128,-17) 1/8 Matrix(675,-1648,188,-459) -> Matrix(31,-4,178,-23) Matrix(6255,-16048,2438,-6255) -> Matrix(15,-2,112,-15) (59/23,136/53) -> (1/8,1/7) Matrix(8161,-20944,3180,-8161) -> Matrix(1,0,14,-1) (136/53,77/30) -> (0/1,1/7) Matrix(335,-906,44,-119) -> Matrix(15,-2,52,-7) Matrix(2843,-7742,1044,-2843) -> Matrix(1,0,12,-1) (49/18,79/29) -> (0/1,1/6) Matrix(1739,-4740,638,-1739) -> Matrix(1,0,16,-1) (79/29,30/11) -> (0/1,1/8) Matrix(7139,-19754,2580,-7139) -> Matrix(211,-28,1590,-211) (83/30,119/43) -> (7/53,2/15) Matrix(3095,-8568,1118,-3095) -> Matrix(89,-12,660,-89) (119/43,36/13) -> (2/15,3/22) Matrix(1839,-5126,428,-1193) -> Matrix(61,-8,328,-43) Matrix(1567,-4374,484,-1351) -> Matrix(119,-16,766,-103) Matrix(239,-680,84,-239) -> Matrix(85,-12,602,-85) (17/6,20/7) -> (6/43,1/7) Matrix(41,-120,14,-41) -> Matrix(13,-2,84,-13) (20/7,3/1) -> (1/7,1/6) Matrix(85,-294,24,-83) -> Matrix(25,-4,144,-23) 1/6 Matrix(2209,-8160,598,-2209) -> Matrix(111,-20,616,-111) (48/13,85/23) -> (5/28,2/11) Matrix(1701,-6290,460,-1701) -> Matrix(65,-12,352,-65) (85/23,37/10) -> (2/11,3/16) Matrix(1665,-6218,388,-1449) -> Matrix(67,-12,374,-67) *** -> (3/17,2/11) Matrix(2353,-8988,616,-2353) -> Matrix(111,-22,560,-111) (42/11,107/28) -> (11/56,1/5) Matrix(3639,-13910,952,-3639) -> Matrix(129,-26,640,-129) (107/28,65/17) -> (1/5,13/64) Matrix(131,-572,30,-131) -> Matrix(31,-6,160,-31) (13/3,22/5) -> (3/16,1/5) Matrix(89,-396,20,-89) -> Matrix(19,-4,90,-19) (22/5,9/2) -> (1/5,2/9) Matrix(1205,-5762,252,-1205) -> Matrix(73,-18,296,-73) (43/9,67/14) -> (9/37,1/4) Matrix(671,-3216,140,-671) -> Matrix(23,-6,88,-23) (67/14,24/5) -> (1/4,3/11) Matrix(137,-782,24,-137) -> Matrix(25,-6,104,-25) (17/3,23/4) -> (3/13,1/4) Matrix(47,-276,8,-47) -> Matrix(7,-2,24,-7) (23/4,6/1) -> (1/4,1/3) Matrix(281,-1880,42,-281) -> Matrix(-1,0,4,1) (20/3,47/7) -> (-1/2,0/1) Matrix(377,-2538,56,-377) -> Matrix(1,0,22,-1) (47/7,27/4) -> (0/1,1/11) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.