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): 1584 Minimal number of generators: 265 Number of equivalence classes of cusps: 66 Genus: 100 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -7/15 -68/161 -19/46 -17/46 -41/138 -13/46 -45/161 -37/138 -11/46 -5/21 -43/184 -21/92 -31/138 -4/21 -7/46 -3/20 -1/10 0/1 1/9 1/8 3/23 2/15 1/7 2/13 3/19 1/6 4/23 3/17 2/11 3/16 1/5 4/19 3/14 5/23 2/9 5/22 3/13 4/17 1/4 6/23 3/11 5/18 2/7 34/115 7/23 1/3 8/23 44/115 9/23 2/5 5/12 10/23 1/2 13/23 14/23 71/115 15/23 2/3 16/23 81/115 17/23 18/23 19/23 20/23 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/0 -8/9 -2/5 -7/18 -7/8 -7/20 -1/3 -20/23 -1/3 -13/15 -13/40 -6/7 -4/13 -3/10 -11/13 -9/32 -16/19 -2/7 -5/18 -21/25 -13/48 -5/6 -5/19 -1/4 -19/23 -1/4 -14/17 -1/4 -14/57 -9/11 -1/4 -13/16 -7/30 -3/13 -4/5 -2/9 -3/14 -15/19 -5/24 -26/33 -6/29 -19/92 -11/14 -11/54 -1/5 -18/23 -1/5 -7/9 -7/36 -31/40 -7/37 -3/16 -24/31 -4/21 -3/16 -17/22 -1/5 -5/26 -10/13 -4/21 -3/16 -13/17 -3/16 -3/4 -3/17 -1/6 -17/23 -1/6 -14/19 -1/6 -14/85 -11/15 -11/68 -41/56 -9/56 -13/81 -30/41 -4/25 -15/94 -19/26 -7/44 -3/19 -8/11 -1/6 -2/13 -21/29 -5/32 -34/47 -1/6 -2/13 -13/18 -1/6 -1/7 -31/43 -7/44 -49/68 -25/158 -3/19 -18/25 -8/51 -5/32 -5/7 -3/20 -22/31 -3/20 -4/27 -17/24 -5/34 -1/7 -12/17 -2/13 -3/20 -31/44 -11/73 -3/20 -81/115 -3/20 -50/71 -3/20 -22/147 -19/27 -3/20 -45/64 -11/74 -15/101 -26/37 -4/27 -21/142 -33/47 -33/224 -7/10 -7/48 -1/7 -16/23 -1/7 -9/13 -9/64 -11/16 -7/51 -3/22 -2/3 -2/15 -1/8 -15/23 -1/8 -13/20 -1/8 -13/105 -11/17 -1/8 -20/31 -17/140 -4/33 -29/45 -29/240 -9/14 -3/25 -5/42 -25/39 -7/60 -16/25 -1/8 0/1 -39/61 -11/92 -23/36 -1/8 -1/9 -30/47 -2/17 -3/26 -7/11 -1/8 -19/30 -3/25 -5/42 -12/19 -5/42 -2/17 -5/8 -1/8 -1/9 -23/37 -7/60 -18/29 -1/8 0/1 -13/21 -7/60 -21/34 -17/147 -3/26 -71/115 -3/26 -50/81 -3/26 -46/399 -29/47 -29/252 -37/60 -31/270 -7/61 -8/13 -4/35 -5/44 -19/31 -19/168 -30/49 -8/71 -9/80 -11/18 -11/98 -1/9 -14/23 -1/9 -3/5 -3/28 -13/22 -1/9 -5/46 -10/17 -3/28 -2/19 -7/12 -3/29 -1/10 -25/43 -1/8 -18/31 -1/8 0/1 -11/19 -3/28 -37/64 -3/29 -1/10 -26/45 -2/19 -1/10 -41/71 -3/28 -15/26 -1/9 -3/28 -19/33 -13/124 -4/7 -4/39 -1/10 -13/23 -1/10 -9/16 -1/10 -9/91 -14/25 -9/92 -4/41 -5/9 -5/52 -16/29 -3/32 -4/43 -11/20 -1/11 -1/12 -6/11 -1/10 -2/21 -7/13 -1/12 -1/2 -1/11 -1/12 -7/15 -7/88 -6/13 -1/12 0/1 -11/24 -1/13 -1/14 -5/11 -1/12 -9/20 -3/35 -1/12 -13/29 -1/12 -4/9 -2/25 -3/38 -19/43 -7/88 -15/34 -11/139 -3/38 -11/25 -5/64 -29/66 -5/64 -1/13 -18/41 -4/51 -13/166 -7/16 -7/90 -1/13 -10/23 -1/13 -3/7 -3/40 -11/26 -7/95 -5/68 -30/71 -14/191 -17/232 -49/116 -47/642 -3/41 -68/161 -3/41 -19/45 -19/260 -8/19 -6/83 -1/14 -13/31 -5/72 -18/43 -1/16 0/1 -5/12 -1/13 -1/14 -12/29 -1/16 0/1 -19/46 0/1 -7/17 -1/12 -9/22 -1/13 -1/14 -11/27 -1/12 -2/5 -2/27 -1/14 -9/23 -1/14 -7/18 -1/14 -7/99 -19/49 -9/128 -12/31 -9/128 -4/57 -17/44 -3/43 -5/72 -5/13 -5/72 -18/47 -1/14 -2/29 -31/81 -3/44 -44/115 -1/15 -13/34 -1/14 -1/15 -34/89 -5/72 -2/29 -55/144 -5/73 -3/44 -21/55 -1/16 -8/21 -5/72 -2/29 -19/50 -9/131 -7/102 -11/29 -3/44 -14/37 -11/162 -4/59 -3/8 -1/15 -1/16 -10/27 -1/18 0/1 -17/46 0/1 -7/19 -1/12 -25/68 -1/13 -1/14 -18/49 -1/12 0/1 -11/30 -3/41 -1/14 -4/11 -2/27 -1/14 -17/47 -17/240 -13/36 -5/71 -9/128 -22/61 -4/57 -7/100 -31/86 -11/157 -7/100 -9/25 -5/72 -5/14 -1/14 -1/15 -16/45 -1/14 -2/29 -11/31 -11/160 -17/48 -11/161 -3/44 -6/17 -2/29 -3/44 -7/20 -7/104 -1/15 -8/23 -1/15 -1/3 -1/16 -6/19 -3/46 -2/31 -5/16 -1/15 -3/46 -19/61 -17/264 -14/45 -2/31 -5/78 -9/29 -1/16 -4/13 -4/63 -1/16 -7/23 -1/16 -3/10 -1/16 -3/49 -11/37 -9/148 -41/138 -2/33 -30/101 -2/33 -27/446 -19/64 -11/182 -9/149 -8/27 -3/50 -4/67 -21/71 -9/152 -34/115 -1/17 -13/44 -1/17 -3/52 -18/61 -1/20 0/1 -5/17 -1/16 -7/24 -3/50 -1/17 -9/31 -9/152 -2/7 -1/18 0/1 -13/46 0/1 -11/39 -1/8 -9/32 -1/13 -1/14 -7/25 -1/16 -26/93 -1/14 0/1 -45/161 -1/14 -19/68 -1/14 -1/15 -12/43 -1/16 0/1 -5/18 -1/15 -3/46 -18/65 -12/187 -5/78 -13/47 -13/204 -8/29 -8/127 -1/16 -3/11 -1/16 -7/26 -1/16 -5/81 -11/41 -9/148 -37/138 -2/33 -26/97 -2/33 -19/314 -15/56 -7/116 -5/83 -4/15 -1/16 -2/33 -5/19 -5/84 -6/23 -1/17 -1/4 -1/17 -1/18 -6/25 -1/24 0/1 -11/46 0/1 -5/21 -1/12 -4/17 -2/31 -1/16 -11/47 -11/180 -18/77 -17/280 -2/33 -43/184 -2/33 -25/107 -23/380 -7/30 -5/83 -3/50 -3/13 -3/52 -8/35 -1/18 0/1 -21/92 0/1 -13/57 -1/16 -5/22 -1/17 -1/18 -7/31 -7/120 -9/40 -1/17 -3/52 -20/89 -11/192 -2/35 -31/138 -2/35 -11/49 -5/88 -2/9 -2/35 -1/18 -5/23 -1/18 -3/14 -1/18 -3/55 -10/47 -1/18 -2/37 -7/33 -5/92 -4/19 -1/18 -2/37 -9/43 -3/56 -5/24 -1/19 -3/58 -1/5 -1/20 -5/26 -1/16 -3/49 -4/21 -3/52 -2/35 -3/16 -1/18 -3/55 -2/11 -1/18 -2/37 -3/17 -3/56 -4/23 -1/19 -1/6 -1/19 -1/20 -5/31 -5/96 -4/25 -4/79 -1/20 -3/19 -1/20 -2/13 -1/24 0/1 -7/46 0/1 -5/33 -1/8 -3/20 -1/15 -1/16 -1/7 -1/20 -2/15 -2/39 -1/20 -3/23 -1/20 -1/8 -1/20 -1/21 -1/9 -1/24 -1/10 -1/20 -1/21 0/1 -1/22 0/1 1/9 -1/20 1/8 -1/23 -1/24 3/23 -1/24 2/15 -1/24 -2/49 1/7 -1/24 2/13 -1/20 0/1 3/19 -1/24 4/25 -1/24 -4/97 1/6 -1/24 -1/25 4/23 -1/25 3/17 -3/76 2/11 -2/51 -1/26 3/16 -3/77 -1/26 1/5 -1/24 4/19 -2/51 -1/26 7/33 -5/128 3/14 -3/77 -1/26 5/23 -1/26 2/9 -1/26 -2/53 9/40 -3/80 -1/27 7/31 -7/188 5/22 -1/26 -1/27 3/13 -3/80 4/17 -1/28 -2/57 1/4 -1/26 -1/27 6/23 -1/27 5/19 -5/136 4/15 -2/55 -1/28 15/56 -5/137 -7/192 11/41 -9/248 7/26 -5/139 -1/28 3/11 -1/28 8/29 -1/28 -8/225 13/47 -13/368 5/18 -3/86 -1/29 12/43 -1/28 0/1 19/68 -1/29 -1/30 7/25 -1/28 2/7 -1/26 0/1 9/31 -9/244 7/24 -1/27 -3/82 5/17 -1/28 13/44 -3/80 -1/27 34/115 -1/27 21/71 -9/244 8/27 -4/109 -3/82 19/64 -9/247 -11/302 11/37 -9/248 14/47 -2/55 -5/138 3/10 -3/83 -1/28 7/23 -1/28 4/13 -1/28 -4/113 5/16 -3/86 -1/29 1/3 -1/28 8/23 -1/29 7/20 -1/29 -7/204 6/17 -3/88 -2/59 11/31 -11/324 16/45 -2/59 -1/30 5/14 -1/29 -1/30 14/39 -2/59 -9/266 9/25 -5/148 22/61 -7/208 -4/119 13/36 -9/268 -5/149 17/47 -17/508 4/11 -1/30 -2/61 11/30 -1/30 -3/91 7/19 -1/32 3/8 -1/28 -1/29 14/37 -4/117 -11/322 11/29 -3/88 8/21 -2/59 -5/148 13/34 -1/29 -1/30 44/115 -1/29 31/81 -3/88 18/47 -2/59 -1/30 23/60 -3/89 -1/30 5/13 -5/148 12/31 -4/119 -9/268 19/49 -9/268 7/18 -7/209 -1/30 9/23 -1/30 2/5 -1/30 -2/61 9/22 -1/30 -1/31 7/17 -1/32 5/12 -1/30 -1/31 18/43 -1/28 0/1 13/31 -5/148 8/19 -1/30 -6/181 27/64 -15/454 -11/333 19/45 -19/576 30/71 -17/516 -14/425 11/26 -5/152 -7/213 14/33 -2/61 -11/336 3/7 -3/92 10/23 -1/31 7/16 -1/31 -7/218 11/25 -5/156 4/9 -3/94 -2/63 13/29 -1/32 9/20 -1/32 -3/97 5/11 -1/32 6/13 -1/32 0/1 1/2 -1/32 -1/33 8/15 -2/67 -5/168 7/13 -1/32 13/24 -1/33 -1/34 6/11 -2/67 -1/34 11/20 -1/32 -1/33 16/29 -4/133 -3/100 5/9 -5/168 24/43 -4/135 -9/304 19/34 -3/101 -1/34 14/25 -4/135 -9/304 37/66 -27/913 -11/372 23/41 -13/440 9/16 -9/305 -1/34 13/23 -1/34 4/7 -1/34 -4/137 15/26 -3/104 -1/35 41/71 -3/104 67/116 -1/34 -1/35 93/161 -1/34 26/45 -1/34 -2/69 11/19 -3/104 18/31 -1/36 0/1 25/43 -1/36 7/12 -1/34 -3/103 17/29 -5/172 27/46 -2/69 10/17 -2/69 -3/104 13/22 -5/174 -1/35 16/27 -1/34 0/1 3/5 -3/104 14/23 -1/35 11/18 -1/35 -11/386 30/49 -9/316 -8/281 19/31 -19/668 27/44 -5/176 -9/317 8/13 -5/176 -4/141 29/47 -29/1024 50/81 -46/1625 -3/106 71/115 -3/106 21/34 -3/106 -17/601 55/89 -19/672 89/144 -13/460 -5/177 34/55 -3/106 -8/283 13/21 -7/248 31/50 -5/178 -3/107 18/29 -1/36 0/1 23/37 -7/248 5/8 -1/35 -1/36 17/27 -7/248 29/46 -2/71 12/19 -2/71 -5/178 43/68 -17/606 -3/107 31/49 -1/36 19/30 -5/178 -3/107 7/11 -1/36 30/47 -3/106 -2/71 23/36 -1/35 -1/36 39/61 -11/392 55/86 -3/107 -1/36 16/25 -1/36 0/1 9/14 -5/178 -3/107 29/45 -29/1036 20/31 -4/143 -17/608 31/48 -19/680 -5/179 11/17 -1/36 13/20 -13/467 -1/36 15/23 -1/36 2/3 -1/36 -2/73 13/19 -1/36 11/16 -3/110 -7/257 42/61 -4/147 -37/1360 31/45 -31/1140 20/29 -5/184 -16/589 9/13 -9/332 16/23 -1/37 7/10 -1/37 -7/260 26/37 -21/782 -4/149 97/138 -4/149 71/101 -51/1900 45/64 -15/559 -11/410 19/27 -3/112 50/71 -22/821 -3/112 81/115 -3/112 31/44 -3/112 -11/411 43/61 -11/412 12/17 -3/112 -2/75 17/24 -1/37 -5/186 22/31 -4/149 -3/112 5/7 -3/112 33/46 -2/75 28/39 -2/75 -17/638 23/32 -9/338 -7/263 18/25 -5/188 -8/301 67/93 -41/1544 116/161 -3/113 49/68 -3/113 -25/942 31/43 -7/264 13/18 -1/37 -1/38 47/65 -5/188 34/47 -2/75 -1/38 21/29 -5/188 8/11 -2/75 -1/38 19/26 -3/113 -7/264 30/41 -15/566 -4/151 101/138 -4/151 71/97 -41/1548 41/56 -13/491 -9/340 11/15 -11/416 14/19 -14/531 -1/38 17/23 -1/38 3/4 -1/38 -3/115 19/25 -13/500 35/46 -2/77 16/21 -2/77 -11/424 13/17 -3/116 36/47 -1/38 -2/77 59/77 -13/500 141/184 -2/77 82/107 -2/77 -27/1040 23/30 -7/270 -5/193 10/13 -3/116 -4/155 27/35 -3/116 71/92 -4/155 44/57 -4/155 -5/194 17/22 -5/194 -1/39 24/31 -3/116 -4/155 31/40 -3/116 -7/271 69/89 -19/736 107/138 -4/155 38/49 -4/155 -13/504 7/9 -7/272 18/23 -1/39 11/14 -1/39 -11/430 37/47 -37/1448 26/33 -19/744 -6/235 15/19 -5/196 34/43 -5/196 -4/157 19/24 -1/39 -3/118 4/5 -3/118 -2/79 21/26 -3/119 -1/40 17/21 -1/40 13/16 -3/119 -7/278 9/11 -1/40 14/17 -14/559 -1/40 19/23 -1/40 5/6 -1/40 -5/201 26/31 -1/40 -4/161 21/25 -13/524 16/19 -5/202 -2/81 11/13 -9/364 39/46 -2/81 28/33 -2/81 -23/932 17/20 -7/284 -5/203 6/7 -3/122 -4/163 13/15 -13/532 20/23 -1/41 7/8 -1/41 -7/288 8/9 -7/290 -2/83 9/10 -3/125 -7/292 1/1 -1/44 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(323,290,-460,-413) (-1/1,-8/9) -> (-26/37,-33/47) Hyperbolic Matrix(139,122,368,323) (-8/9,-7/8) -> (3/8,14/37) Hyperbolic Matrix(321,280,368,321) (-7/8,-20/23) -> (20/23,7/8) Hyperbolic Matrix(599,520,690,599) (-20/23,-13/15) -> (13/15,20/23) Hyperbolic Matrix(93,80,322,277) (-13/15,-6/7) -> (2/7,9/31) Hyperbolic Matrix(185,158,-322,-275) (-6/7,-11/13) -> (-19/33,-4/7) Hyperbolic Matrix(185,156,874,737) (-11/13,-16/19) -> (4/19,7/33) Hyperbolic Matrix(599,504,2024,1703) (-16/19,-21/25) -> (21/71,8/27) Hyperbolic Matrix(829,696,-2300,-1931) (-21/25,-5/6) -> (-31/86,-9/25) Hyperbolic Matrix(229,190,276,229) (-5/6,-19/23) -> (19/23,5/6) Hyperbolic Matrix(645,532,782,645) (-19/23,-14/17) -> (14/17,19/23) Hyperbolic Matrix(139,114,506,415) (-14/17,-9/11) -> (3/11,8/29) Hyperbolic Matrix(321,262,506,413) (-9/11,-13/16) -> (19/30,7/11) Hyperbolic Matrix(323,262,-736,-597) (-13/16,-4/5) -> (-18/41,-7/16) Hyperbolic Matrix(93,74,-230,-183) (-4/5,-15/19) -> (-11/27,-2/5) Hyperbolic Matrix(137,108,874,689) (-15/19,-26/33) -> (2/13,3/19) Hyperbolic Matrix(1333,1050,-2162,-1703) (-26/33,-11/14) -> (-37/60,-8/13) Hyperbolic Matrix(505,396,644,505) (-11/14,-18/23) -> (18/23,11/14) Hyperbolic Matrix(323,252,414,323) (-18/23,-7/9) -> (7/9,18/23) Hyperbolic Matrix(1335,1036,-3496,-2713) (-7/9,-31/40) -> (-55/144,-21/55) Hyperbolic Matrix(1841,1426,-5106,-3955) (-31/40,-24/31) -> (-22/61,-31/86) Hyperbolic Matrix(1011,782,1426,1103) (-24/31,-17/22) -> (17/24,22/31) Hyperbolic Matrix(275,212,-598,-461) (-17/22,-10/13) -> (-6/13,-11/24) Hyperbolic Matrix(185,142,-598,-459) (-10/13,-13/17) -> (-9/29,-4/13) Hyperbolic Matrix(367,280,-966,-737) (-13/17,-3/4) -> (-19/50,-11/29) Hyperbolic Matrix(137,102,184,137) (-3/4,-17/23) -> (17/23,3/4) Hyperbolic Matrix(645,476,874,645) (-17/23,-14/19) -> (14/19,17/23) Hyperbolic Matrix(367,270,874,643) (-14/19,-11/15) -> (13/31,8/19) Hyperbolic Matrix(2529,1852,3956,2897) (-11/15,-41/56) -> (23/36,39/61) Hyperbolic Matrix(2071,1516,-7728,-5657) (-41/56,-30/41) -> (-26/97,-15/56) Hyperbolic Matrix(1657,1212,-3772,-2759) (-30/41,-19/26) -> (-29/66,-18/41) Hyperbolic Matrix(277,202,506,369) (-19/26,-8/11) -> (6/11,11/20) Hyperbolic Matrix(91,66,506,367) (-8/11,-21/29) -> (3/17,2/11) Hyperbolic Matrix(829,600,-2668,-1931) (-21/29,-34/47) -> (-14/45,-9/29) Hyperbolic Matrix(2207,1596,-3818,-2761) (-34/47,-13/18) -> (-37/64,-26/45) Hyperbolic Matrix(643,464,1656,1195) (-13/18,-31/43) -> (19/49,7/18) Hyperbolic Matrix(3957,2852,6256,4509) (-31/43,-49/68) -> (43/68,31/49) Hyperbolic Matrix(3265,2352,-7728,-5567) (-49/68,-18/25) -> (-30/71,-49/116) Hyperbolic Matrix(737,530,-1150,-827) (-18/25,-5/7) -> (-25/39,-16/25) Hyperbolic Matrix(45,32,322,229) (-5/7,-22/31) -> (2/15,1/7) Hyperbolic Matrix(1103,782,1426,1011) (-22/31,-17/24) -> (17/22,24/31) Hyperbolic Matrix(461,326,782,553) (-17/24,-12/17) -> (10/17,13/22) Hyperbolic Matrix(553,390,-1564,-1103) (-12/17,-31/44) -> (-17/48,-6/17) Hyperbolic Matrix(7129,5022,10120,7129) (-31/44,-81/115) -> (81/115,31/44) Hyperbolic Matrix(11501,8100,16330,11501) (-81/115,-50/71) -> (50/71,81/115) Hyperbolic Matrix(321,226,2024,1425) (-50/71,-19/27) -> (3/19,4/25) Hyperbolic Matrix(3359,2362,4646,3267) (-19/27,-45/64) -> (13/18,47/65) Hyperbolic Matrix(2623,1844,-8832,-6209) (-45/64,-26/37) -> (-30/101,-19/64) Hyperbolic Matrix(781,548,2162,1517) (-33/47,-7/10) -> (13/36,17/47) Hyperbolic Matrix(321,224,460,321) (-7/10,-16/23) -> (16/23,7/10) Hyperbolic Matrix(415,288,598,415) (-16/23,-9/13) -> (9/13,16/23) Hyperbolic Matrix(139,96,-598,-413) (-9/13,-11/16) -> (-7/30,-3/13) Hyperbolic Matrix(321,220,-874,-599) (-11/16,-2/3) -> (-18/49,-11/30) Hyperbolic Matrix(91,60,138,91) (-2/3,-15/23) -> (15/23,2/3) Hyperbolic Matrix(599,390,920,599) (-15/23,-13/20) -> (13/20,15/23) Hyperbolic Matrix(413,268,920,597) (-13/20,-11/17) -> (13/29,9/20) Hyperbolic Matrix(461,298,-1564,-1011) (-11/17,-20/31) -> (-18/61,-5/17) Hyperbolic Matrix(1151,742,-4922,-3173) (-20/31,-29/45) -> (-11/47,-18/77) Hyperbolic Matrix(1013,652,1288,829) (-29/45,-9/14) -> (11/14,37/47) Hyperbolic Matrix(505,324,-1794,-1151) (-9/14,-25/39) -> (-11/39,-9/32) Hyperbolic Matrix(369,236,-2300,-1471) (-16/25,-39/61) -> (-5/31,-4/25) Hyperbolic Matrix(2897,1852,3956,2529) (-39/61,-23/36) -> (41/56,11/15) Hyperbolic Matrix(645,412,2162,1381) (-23/36,-30/47) -> (14/47,3/10) Hyperbolic Matrix(1655,1056,4324,2759) (-30/47,-7/11) -> (31/81,18/47) Hyperbolic Matrix(413,262,506,321) (-7/11,-19/30) -> (13/16,9/11) Hyperbolic Matrix(275,174,-874,-553) (-19/30,-12/19) -> (-6/19,-5/16) Hyperbolic Matrix(137,86,-368,-231) (-12/19,-5/8) -> (-3/8,-10/27) Hyperbolic Matrix(45,28,368,229) (-5/8,-23/37) -> (1/9,1/8) Hyperbolic Matrix(737,458,1334,829) (-23/37,-18/29) -> (16/29,5/9) Hyperbolic Matrix(229,142,-966,-599) (-18/29,-13/21) -> (-5/21,-4/17) Hyperbolic Matrix(689,426,-1564,-967) (-13/21,-21/34) -> (-15/34,-11/25) Hyperbolic Matrix(4829,2982,7820,4829) (-21/34,-71/115) -> (71/115,21/34) Hyperbolic Matrix(11501,7100,18630,11501) (-71/115,-50/81) -> (50/81,71/115) Hyperbolic Matrix(1565,966,4324,2669) (-50/81,-29/47) -> (17/47,4/11) Hyperbolic Matrix(2163,1334,3358,2071) (-29/47,-37/60) -> (9/14,29/45) Hyperbolic Matrix(277,170,-598,-367) (-8/13,-19/31) -> (-7/15,-6/13) Hyperbolic Matrix(1195,732,2852,1747) (-19/31,-30/49) -> (18/43,13/31) Hyperbolic Matrix(461,282,1656,1013) (-30/49,-11/18) -> (5/18,12/43) Hyperbolic Matrix(505,308,828,505) (-11/18,-14/23) -> (14/23,11/18) Hyperbolic Matrix(139,84,230,139) (-14/23,-3/5) -> (3/5,14/23) Hyperbolic Matrix(47,28,-230,-137) (-3/5,-13/22) -> (-5/24,-1/5) Hyperbolic Matrix(553,326,782,461) (-13/22,-10/17) -> (12/17,17/24) Hyperbolic Matrix(229,134,-552,-323) (-10/17,-7/12) -> (-5/12,-12/29) Hyperbolic Matrix(873,508,-1978,-1151) (-7/12,-25/43) -> (-19/43,-15/34) Hyperbolic Matrix(1105,642,2852,1657) (-25/43,-18/31) -> (12/31,19/49) Hyperbolic Matrix(231,134,874,507) (-18/31,-11/19) -> (5/19,4/15) Hyperbolic Matrix(2071,1198,2944,1703) (-11/19,-37/64) -> (45/64,19/27) Hyperbolic Matrix(2161,1248,-7728,-4463) (-26/45,-41/71) -> (-7/25,-26/93) Hyperbolic Matrix(1933,1116,2392,1381) (-41/71,-15/26) -> (21/26,17/21) Hyperbolic Matrix(229,132,-1518,-875) (-15/26,-19/33) -> (-5/33,-3/20) Hyperbolic Matrix(183,104,322,183) (-4/7,-13/23) -> (13/23,4/7) Hyperbolic Matrix(415,234,736,415) (-13/23,-9/16) -> (9/16,13/23) Hyperbolic Matrix(139,78,-736,-413) (-9/16,-14/25) -> (-4/21,-3/16) Hyperbolic Matrix(597,334,-1564,-875) (-14/25,-5/9) -> (-21/55,-8/21) Hyperbolic Matrix(829,458,1334,737) (-5/9,-16/29) -> (18/29,23/37) Hyperbolic Matrix(323,178,920,507) (-16/29,-11/20) -> (7/20,6/17) Hyperbolic Matrix(369,202,506,277) (-11/20,-6/11) -> (8/11,19/26) Hyperbolic Matrix(137,74,-598,-323) (-6/11,-7/13) -> (-3/13,-8/35) Hyperbolic Matrix(231,124,-598,-321) (-7/13,-1/2) -> (-17/44,-5/13) Hyperbolic Matrix(277,130,-782,-367) (-1/2,-7/15) -> (-11/31,-17/48) Hyperbolic Matrix(367,168,-1610,-737) (-11/24,-5/11) -> (-13/57,-5/22) Hyperbolic Matrix(137,62,506,229) (-5/11,-9/20) -> (7/26,3/11) Hyperbolic Matrix(597,268,920,413) (-9/20,-13/29) -> (11/17,13/20) Hyperbolic Matrix(505,226,1334,597) (-13/29,-4/9) -> (14/37,11/29) Hyperbolic Matrix(185,82,-828,-367) (-4/9,-19/43) -> (-11/49,-2/9) Hyperbolic Matrix(3081,1354,5336,2345) (-11/25,-29/66) -> (15/26,41/71) Hyperbolic Matrix(321,140,736,321) (-7/16,-10/23) -> (10/23,7/16) Hyperbolic Matrix(139,60,322,139) (-10/23,-3/7) -> (3/7,10/23) Hyperbolic Matrix(47,20,-322,-137) (-3/7,-11/26) -> (-3/20,-1/7) Hyperbolic Matrix(2991,1264,5336,2255) (-11/26,-30/71) -> (14/25,37/66) Hyperbolic Matrix(21345,9016,29624,12513) (-49/116,-68/161) -> (116/161,49/68) Hyperbolic Matrix(16007,6760,22218,9383) (-68/161,-19/45) -> (67/93,116/161) Hyperbolic Matrix(1057,446,-3818,-1611) (-19/45,-8/19) -> (-18/65,-13/47) Hyperbolic Matrix(643,270,874,367) (-8/19,-13/31) -> (11/15,14/19) Hyperbolic Matrix(1747,732,2852,1195) (-13/31,-18/43) -> (30/49,19/31) Hyperbolic Matrix(967,404,-2530,-1057) (-18/43,-5/12) -> (-13/34,-34/89) Hyperbolic Matrix(1243,514,2116,875) (-12/29,-19/46) -> (27/46,10/17) Hyperbolic Matrix(1241,512,2116,873) (-19/46,-7/17) -> (17/29,27/46) Hyperbolic Matrix(229,94,782,321) (-7/17,-9/22) -> (7/24,5/17) Hyperbolic Matrix(829,338,-2254,-919) (-9/22,-11/27) -> (-7/19,-25/68) Hyperbolic Matrix(91,36,230,91) (-2/5,-9/23) -> (9/23,2/5) Hyperbolic Matrix(323,126,828,323) (-9/23,-7/18) -> (7/18,9/23) Hyperbolic Matrix(1195,464,1656,643) (-7/18,-19/49) -> (31/43,13/18) Hyperbolic Matrix(1657,642,2852,1105) (-19/49,-12/31) -> (18/31,25/43) Hyperbolic Matrix(1195,462,-4048,-1565) (-12/31,-17/44) -> (-13/44,-18/61) Hyperbolic Matrix(459,176,-2162,-829) (-5/13,-18/47) -> (-10/47,-7/33) Hyperbolic Matrix(2759,1056,4324,1655) (-18/47,-31/81) -> (7/11,30/47) Hyperbolic Matrix(7129,2728,18630,7129) (-31/81,-44/115) -> (44/115,31/81) Hyperbolic Matrix(2991,1144,7820,2991) (-44/115,-13/34) -> (13/34,44/115) Hyperbolic Matrix(3681,1406,-16376,-6255) (-34/89,-55/144) -> (-9/40,-20/89) Hyperbolic Matrix(321,122,-1334,-507) (-8/21,-19/50) -> (-1/4,-6/25) Hyperbolic Matrix(597,226,1334,505) (-11/29,-14/37) -> (4/9,13/29) Hyperbolic Matrix(323,122,368,139) (-14/37,-3/8) -> (7/8,8/9) Hyperbolic Matrix(1335,494,2116,783) (-10/27,-17/46) -> (29/46,12/19) Hyperbolic Matrix(1333,492,2116,781) (-17/46,-7/19) -> (17/27,29/46) Hyperbolic Matrix(1747,642,6256,2299) (-25/68,-18/49) -> (12/43,19/68) Hyperbolic Matrix(93,34,506,185) (-11/30,-4/11) -> (2/11,3/16) Hyperbolic Matrix(2669,966,4324,1565) (-4/11,-17/47) -> (29/47,50/81) Hyperbolic Matrix(459,166,506,183) (-17/47,-13/36) -> (9/10,1/1) Hyperbolic Matrix(1059,382,3956,1427) (-13/36,-22/61) -> (4/15,15/56) Hyperbolic Matrix(323,116,-1150,-413) (-9/25,-5/14) -> (-9/32,-7/25) Hyperbolic Matrix(1287,458,3358,1195) (-5/14,-16/45) -> (18/47,23/60) Hyperbolic Matrix(1289,458,-4140,-1471) (-16/45,-11/31) -> (-19/61,-14/45) Hyperbolic Matrix(507,178,920,323) (-6/17,-7/20) -> (11/20,16/29) Hyperbolic Matrix(321,112,920,321) (-7/20,-8/23) -> (8/23,7/20) Hyperbolic Matrix(47,16,138,47) (-8/23,-1/3) -> (1/3,8/23) Hyperbolic Matrix(183,58,-874,-277) (-1/3,-6/19) -> (-4/19,-9/43) Hyperbolic Matrix(827,258,-3542,-1105) (-5/16,-19/61) -> (-25/107,-7/30) Hyperbolic Matrix(183,56,598,183) (-4/13,-7/23) -> (7/23,4/13) Hyperbolic Matrix(139,42,460,139) (-7/23,-3/10) -> (3/10,7/23) Hyperbolic Matrix(47,14,-460,-137) (-3/10,-11/37) -> (-1/9,-1/10) Hyperbolic Matrix(13387,3978,19044,5659) (-11/37,-41/138) -> (97/138,71/101) Hyperbolic Matrix(13385,3976,19044,5657) (-41/138,-30/101) -> (26/37,97/138) Hyperbolic Matrix(1241,368,2944,873) (-19/64,-8/27) -> (8/19,27/64) Hyperbolic Matrix(1703,504,2024,599) (-8/27,-21/71) -> (21/25,16/19) Hyperbolic Matrix(4829,1428,16330,4829) (-21/71,-34/115) -> (34/115,21/71) Hyperbolic Matrix(2991,884,10120,2991) (-34/115,-13/44) -> (13/44,34/115) Hyperbolic Matrix(321,94,782,229) (-5/17,-7/24) -> (9/22,7/17) Hyperbolic Matrix(323,94,1426,415) (-7/24,-9/31) -> (7/31,5/22) Hyperbolic Matrix(277,80,322,93) (-9/31,-2/7) -> (6/7,13/15) Hyperbolic Matrix(1519,430,2116,599) (-2/7,-13/46) -> (33/46,28/39) Hyperbolic Matrix(1517,428,2116,597) (-13/46,-11/39) -> (5/7,33/46) Hyperbolic Matrix(12835,3588,22218,6211) (-26/93,-45/161) -> (93/161,26/45) Hyperbolic Matrix(17111,4782,29624,8279) (-45/161,-19/68) -> (67/116,93/161) Hyperbolic Matrix(3129,874,3956,1105) (-19/68,-12/43) -> (34/43,19/24) Hyperbolic Matrix(1013,282,1656,461) (-12/43,-5/18) -> (11/18,30/49) Hyperbolic Matrix(1379,382,4646,1287) (-5/18,-18/65) -> (8/27,19/64) Hyperbolic Matrix(507,140,-2162,-597) (-13/47,-8/29) -> (-4/17,-11/47) Hyperbolic Matrix(415,114,506,139) (-8/29,-3/11) -> (9/11,14/17) Hyperbolic Matrix(229,62,506,137) (-3/11,-7/26) -> (9/20,5/11) Hyperbolic Matrix(231,62,-1196,-321) (-7/26,-11/41) -> (-1/5,-5/26) Hyperbolic Matrix(13939,3738,19044,5107) (-11/41,-37/138) -> (101/138,71/97) Hyperbolic Matrix(13937,3736,19044,5105) (-37/138,-26/97) -> (30/41,101/138) Hyperbolic Matrix(1427,382,3956,1059) (-15/56,-4/15) -> (22/61,13/36) Hyperbolic Matrix(507,134,874,231) (-4/15,-5/19) -> (11/19,18/31) Hyperbolic Matrix(229,60,874,229) (-5/19,-6/23) -> (6/23,5/19) Hyperbolic Matrix(47,12,184,47) (-6/23,-1/4) -> (1/4,6/23) Hyperbolic Matrix(1611,386,2116,507) (-6/25,-11/46) -> (35/46,16/21) Hyperbolic Matrix(1609,384,2116,505) (-11/46,-5/21) -> (19/25,35/46) Hyperbolic Matrix(25945,6064,33856,7913) (-18/77,-43/184) -> (141/184,82/107) Hyperbolic Matrix(25943,6062,33856,7911) (-43/184,-25/107) -> (59/77,141/184) Hyperbolic Matrix(6533,1492,8464,1933) (-8/35,-21/92) -> (71/92,44/57) Hyperbolic Matrix(6531,1490,8464,1931) (-21/92,-13/57) -> (27/35,71/92) Hyperbolic Matrix(415,94,1426,323) (-5/22,-7/31) -> (9/31,7/24) Hyperbolic Matrix(231,52,-1426,-321) (-7/31,-9/40) -> (-1/6,-5/31) Hyperbolic Matrix(14767,3318,19044,4279) (-20/89,-31/138) -> (107/138,38/49) Hyperbolic Matrix(14765,3316,19044,4277) (-31/138,-11/49) -> (69/89,107/138) Hyperbolic Matrix(91,20,414,91) (-2/9,-5/23) -> (5/23,2/9) Hyperbolic Matrix(139,30,644,139) (-5/23,-3/14) -> (3/14,5/23) Hyperbolic Matrix(459,98,1288,275) (-3/14,-10/47) -> (16/45,5/14) Hyperbolic Matrix(737,156,874,185) (-7/33,-4/19) -> (16/19,11/13) Hyperbolic Matrix(2851,596,3956,827) (-9/43,-5/24) -> (49/68,31/43) Hyperbolic Matrix(1011,194,2392,459) (-5/26,-4/21) -> (30/71,11/26) Hyperbolic Matrix(185,34,506,93) (-3/16,-2/11) -> (4/11,11/30) Hyperbolic Matrix(367,66,506,91) (-2/11,-3/17) -> (21/29,8/11) Hyperbolic Matrix(137,24,782,137) (-3/17,-4/23) -> (4/23,3/17) Hyperbolic Matrix(47,8,276,47) (-4/23,-1/6) -> (1/6,4/23) Hyperbolic Matrix(1425,226,2024,321) (-4/25,-3/19) -> (19/27,50/71) Hyperbolic Matrix(689,108,874,137) (-3/19,-2/13) -> (26/33,15/19) Hyperbolic Matrix(1795,274,2116,323) (-2/13,-7/46) -> (39/46,28/33) Hyperbolic Matrix(1793,272,2116,321) (-7/46,-5/33) -> (11/13,39/46) Hyperbolic Matrix(229,32,322,45) (-1/7,-2/15) -> (22/31,5/7) Hyperbolic Matrix(91,12,690,91) (-2/15,-3/23) -> (3/23,2/15) Hyperbolic Matrix(47,6,368,47) (-3/23,-1/8) -> (1/8,3/23) Hyperbolic Matrix(229,28,368,45) (-1/8,-1/9) -> (23/37,5/8) Hyperbolic Matrix(323,30,506,47) (-1/10,0/1) -> (30/47,23/36) Hyperbolic Matrix(137,-14,460,-47) (0/1,1/9) -> (11/37,14/47) Hyperbolic Matrix(137,-20,322,-47) (1/7,2/13) -> (14/33,3/7) Hyperbolic Matrix(1471,-236,2300,-369) (4/25,1/6) -> (55/86,16/25) Hyperbolic Matrix(413,-78,736,-139) (3/16,1/5) -> (23/41,9/16) Hyperbolic Matrix(137,-28,230,-47) (1/5,4/19) -> (16/27,3/5) Hyperbolic Matrix(829,-176,2162,-459) (7/33,3/14) -> (23/60,5/13) Hyperbolic Matrix(2161,-484,3496,-783) (2/9,9/40) -> (89/144,34/55) Hyperbolic Matrix(3265,-736,5106,-1151) (9/40,7/31) -> (39/61,55/86) Hyperbolic Matrix(323,-74,598,-137) (5/22,3/13) -> (7/13,13/24) Hyperbolic Matrix(413,-96,598,-139) (3/13,4/17) -> (20/29,9/13) Hyperbolic Matrix(599,-142,966,-229) (4/17,1/4) -> (31/50,18/29) Hyperbolic Matrix(5657,-1516,7728,-2071) (15/56,11/41) -> (71/97,41/56) Hyperbolic Matrix(2115,-568,3772,-1013) (11/41,7/26) -> (37/66,23/41) Hyperbolic Matrix(1839,-508,2668,-737) (8/29,13/47) -> (31/45,20/29) Hyperbolic Matrix(1611,-446,3818,-1057) (13/47,5/18) -> (27/64,19/45) Hyperbolic Matrix(4463,-1248,7728,-2161) (19/68,7/25) -> (41/71,67/116) Hyperbolic Matrix(413,-116,1150,-323) (7/25,2/7) -> (14/39,9/25) Hyperbolic Matrix(1011,-298,1564,-461) (5/17,13/44) -> (31/48,11/17) Hyperbolic Matrix(6209,-1844,8832,-2623) (19/64,11/37) -> (71/101,45/64) Hyperbolic Matrix(459,-142,598,-185) (4/13,5/16) -> (23/30,10/13) Hyperbolic Matrix(553,-174,874,-275) (5/16,1/3) -> (31/49,19/30) Hyperbolic Matrix(1103,-390,1564,-553) (6/17,11/31) -> (43/61,12/17) Hyperbolic Matrix(3771,-1340,4922,-1749) (11/31,16/45) -> (36/47,59/77) Hyperbolic Matrix(1289,-462,1794,-643) (5/14,14/39) -> (28/39,23/32) Hyperbolic Matrix(1931,-696,2300,-829) (9/25,22/61) -> (26/31,21/25) Hyperbolic Matrix(599,-220,874,-321) (11/30,7/19) -> (13/19,11/16) Hyperbolic Matrix(231,-86,368,-137) (7/19,3/8) -> (5/8,17/27) Hyperbolic Matrix(737,-280,966,-367) (11/29,8/21) -> (16/21,13/17) Hyperbolic Matrix(875,-334,1564,-597) (8/21,13/34) -> (19/34,14/25) Hyperbolic Matrix(321,-124,598,-231) (5/13,12/31) -> (8/15,7/13) Hyperbolic Matrix(183,-74,230,-93) (2/5,9/22) -> (19/24,4/5) Hyperbolic Matrix(323,-134,552,-229) (7/17,5/12) -> (7/12,17/29) Hyperbolic Matrix(1105,-462,1978,-827) (5/12,18/43) -> (24/43,19/34) Hyperbolic Matrix(5567,-2352,7728,-3265) (19/45,30/71) -> (18/25,67/93) Hyperbolic Matrix(1289,-546,1518,-643) (11/26,14/33) -> (28/33,17/20) Hyperbolic Matrix(597,-262,736,-323) (7/16,11/25) -> (17/21,13/16) Hyperbolic Matrix(967,-426,1564,-689) (11/25,4/9) -> (34/55,13/21) Hyperbolic Matrix(461,-212,598,-275) (5/11,6/13) -> (10/13,27/35) Hyperbolic Matrix(367,-170,598,-277) (6/13,1/2) -> (27/44,8/13) Hyperbolic Matrix(505,-268,782,-415) (1/2,8/15) -> (20/31,31/48) Hyperbolic Matrix(1243,-674,1610,-873) (13/24,6/11) -> (44/57,17/22) Hyperbolic Matrix(643,-358,828,-461) (5/9,24/43) -> (38/49,7/9) Hyperbolic Matrix(275,-158,322,-185) (4/7,15/26) -> (17/20,6/7) Hyperbolic Matrix(2761,-1596,3818,-2207) (26/45,11/19) -> (47/65,34/47) Hyperbolic Matrix(1563,-910,2530,-1473) (25/43,7/12) -> (21/34,55/89) Hyperbolic Matrix(1425,-844,2254,-1335) (13/22,16/27) -> (12/19,43/68) Hyperbolic Matrix(2853,-1750,4048,-2483) (19/31,27/44) -> (31/44,43/61) Hyperbolic Matrix(1703,-1050,2162,-1333) (8/13,29/47) -> (37/47,26/33) Hyperbolic Matrix(12695,-7846,16376,-10121) (55/89,89/144) -> (31/40,69/89) Hyperbolic Matrix(1013,-628,1334,-827) (13/21,31/50) -> (3/4,19/25) Hyperbolic Matrix(827,-530,1150,-737) (16/25,9/14) -> (23/32,18/25) Hyperbolic Matrix(2851,-1838,4140,-2669) (29/45,20/31) -> (42/61,31/45) Hyperbolic Matrix(691,-472,874,-597) (2/3,13/19) -> (15/19,34/43) Hyperbolic Matrix(2715,-1868,3542,-2437) (11/16,42/61) -> (82/107,23/30) Hyperbolic Matrix(413,-290,460,-323) (7/10,26/37) -> (8/9,9/10) Hyperbolic Matrix(1655,-1198,2162,-1565) (34/47,21/29) -> (13/17,36/47) Hyperbolic Matrix(965,-706,1196,-875) (19/26,30/41) -> (4/5,21/26) Hyperbolic Matrix(1195,-926,1426,-1105) (24/31,31/40) -> (5/6,26/31) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-44,1) Matrix(323,290,-460,-413) -> Matrix(33,14,-224,-95) Matrix(139,122,368,323) -> Matrix(17,6,-496,-175) Matrix(321,280,368,321) -> Matrix(41,14,-1684,-575) Matrix(599,520,690,599) -> Matrix(79,26,-3236,-1065) Matrix(93,80,322,277) -> Matrix(13,4,-348,-107) Matrix(185,158,-322,-275) -> Matrix(27,8,-260,-77) Matrix(185,156,874,737) -> Matrix(29,8,-736,-203) Matrix(599,504,2024,1703) -> Matrix(51,14,-1388,-381) Matrix(829,696,-2300,-1931) -> Matrix(89,24,-1272,-343) Matrix(229,190,276,229) -> Matrix(39,10,-1564,-401) Matrix(645,532,782,645) -> Matrix(113,28,-4516,-1119) Matrix(139,114,506,415) -> Matrix(25,6,-696,-167) Matrix(321,262,506,413) -> Matrix(25,6,-896,-215) Matrix(323,262,-736,-597) -> Matrix(61,14,-780,-179) Matrix(93,74,-230,-183) -> Matrix(19,4,-252,-53) Matrix(137,108,874,689) -> Matrix(29,6,-672,-139) Matrix(1333,1050,-2162,-1703) -> Matrix(223,46,-1944,-401) Matrix(505,396,644,505) -> Matrix(109,22,-4256,-859) Matrix(323,252,414,323) -> Matrix(71,14,-2764,-545) Matrix(1335,1036,-3496,-2713) -> Matrix(31,6,-460,-89) Matrix(1841,1426,-5106,-3955) -> Matrix(83,16,-1188,-229) Matrix(1011,782,1426,1103) -> Matrix(1,0,-32,1) Matrix(275,212,-598,-461) -> Matrix(21,4,-268,-51) Matrix(185,142,-598,-459) -> Matrix(43,8,-672,-125) Matrix(367,280,-966,-737) -> Matrix(65,12,-948,-175) Matrix(137,102,184,137) -> Matrix(35,6,-1336,-229) Matrix(645,476,874,645) -> Matrix(169,28,-6416,-1063) Matrix(367,270,874,643) -> Matrix(49,8,-1464,-239) Matrix(2529,1852,3956,2897) -> Matrix(137,22,-4876,-783) Matrix(2071,1516,-7728,-5657) -> Matrix(287,46,-4748,-761) Matrix(1657,1212,-3772,-2759) -> Matrix(51,8,-644,-101) Matrix(277,202,506,369) -> Matrix(25,4,-844,-135) Matrix(91,66,506,367) -> Matrix(25,4,-644,-103) Matrix(829,600,-2668,-1931) -> Matrix(77,12,-1200,-187) Matrix(2207,1596,-3818,-2761) -> Matrix(25,4,-244,-39) Matrix(643,464,1656,1195) -> Matrix(49,8,-1464,-239) Matrix(3957,2852,6256,4509) -> Matrix(151,24,-5392,-857) Matrix(3265,2352,-7728,-5567) -> Matrix(419,66,-5720,-901) Matrix(737,530,-1150,-827) -> Matrix(51,8,-440,-69) Matrix(45,32,322,229) -> Matrix(13,2,-332,-51) Matrix(1103,782,1426,1011) -> Matrix(1,0,-32,1) Matrix(461,326,782,553) -> Matrix(1,0,-28,1) Matrix(553,390,-1564,-1103) -> Matrix(1,0,-8,1) Matrix(7129,5022,10120,7129) -> Matrix(439,66,-16396,-2465) Matrix(11501,8100,16330,11501) -> Matrix(881,132,-32884,-4927) Matrix(321,226,2024,1425) -> Matrix(67,10,-1588,-237) Matrix(3359,2362,4646,3267) -> Matrix(175,26,-6576,-977) Matrix(2623,1844,-8832,-6209) -> Matrix(445,66,-7356,-1091) Matrix(781,548,2162,1517) -> Matrix(177,26,-5276,-775) Matrix(321,224,460,321) -> Matrix(97,14,-3596,-519) Matrix(415,288,598,415) -> Matrix(127,18,-4692,-665) Matrix(139,96,-598,-413) -> Matrix(43,6,-724,-101) Matrix(321,220,-874,-599) -> Matrix(15,2,-188,-25) Matrix(91,60,138,91) -> Matrix(31,4,-1124,-145) Matrix(599,390,920,599) -> Matrix(209,26,-7516,-935) Matrix(413,268,920,597) -> Matrix(81,10,-2584,-319) Matrix(461,298,-1564,-1011) -> Matrix(33,4,-520,-63) Matrix(1151,742,-4922,-3173) -> Matrix(281,34,-4620,-559) Matrix(1013,652,1288,829) -> Matrix(233,28,-9112,-1095) Matrix(505,324,-1794,-1151) -> Matrix(17,2,-196,-23) Matrix(369,236,-2300,-1471) -> Matrix(33,4,-652,-79) Matrix(2897,1852,3956,2529) -> Matrix(185,22,-6988,-831) Matrix(645,412,2162,1381) -> Matrix(33,4,-916,-111) Matrix(1655,1056,4324,2759) -> Matrix(35,4,-1024,-117) Matrix(413,262,506,321) -> Matrix(49,6,-1952,-239) Matrix(275,174,-874,-553) -> Matrix(33,4,-520,-63) Matrix(137,86,-368,-231) -> Matrix(17,2,-264,-31) Matrix(45,28,368,229) -> Matrix(17,2,-400,-47) Matrix(737,458,1334,829) -> Matrix(35,4,-1164,-133) Matrix(229,142,-966,-599) -> Matrix(17,2,-264,-31) Matrix(689,426,-1564,-967) -> Matrix(155,18,-1972,-229) Matrix(4829,2982,7820,4829) -> Matrix(883,102,-31208,-3605) Matrix(11501,7100,18630,11501) -> Matrix(2393,276,-84544,-9751) Matrix(1565,966,4324,2669) -> Matrix(347,40,-10384,-1197) Matrix(2163,1334,3358,2071) -> Matrix(505,58,-18032,-2071) Matrix(277,170,-598,-367) -> Matrix(35,4,-464,-53) Matrix(1195,732,2852,1747) -> Matrix(71,8,-2068,-233) Matrix(461,282,1656,1013) -> Matrix(71,8,-2068,-233) Matrix(505,308,828,505) -> Matrix(197,22,-6904,-771) Matrix(139,84,230,139) -> Matrix(55,6,-1916,-209) Matrix(47,28,-230,-137) -> Matrix(19,2,-352,-37) Matrix(553,326,782,461) -> Matrix(1,0,-28,1) Matrix(229,134,-552,-323) -> Matrix(19,2,-276,-29) Matrix(873,508,-1978,-1151) -> Matrix(23,2,-288,-25) Matrix(1105,642,2852,1657) -> Matrix(41,4,-1220,-119) Matrix(231,134,874,507) -> Matrix(17,2,-468,-55) Matrix(2071,1198,2944,1703) -> Matrix(169,18,-6300,-671) Matrix(2161,1248,-7728,-4463) -> Matrix(19,2,-276,-29) Matrix(1933,1116,2392,1381) -> Matrix(75,8,-2972,-317) Matrix(229,132,-1518,-875) -> Matrix(19,2,-276,-29) Matrix(183,104,322,183) -> Matrix(79,8,-2696,-273) Matrix(415,234,736,415) -> Matrix(181,18,-6144,-611) Matrix(139,78,-736,-413) -> Matrix(61,6,-1088,-107) Matrix(597,334,-1564,-875) -> Matrix(21,2,-284,-27) Matrix(829,458,1334,737) -> Matrix(43,4,-1516,-141) Matrix(323,178,920,507) -> Matrix(65,6,-1896,-175) Matrix(369,202,506,277) -> Matrix(41,4,-1548,-151) Matrix(137,74,-598,-323) -> Matrix(21,2,-368,-35) Matrix(231,124,-598,-321) -> Matrix(19,2,-276,-29) Matrix(277,130,-782,-367) -> Matrix(99,8,-1448,-117) Matrix(367,168,-1610,-737) -> Matrix(1,0,-4,1) Matrix(137,62,506,229) -> Matrix(25,2,-688,-55) Matrix(597,268,920,413) -> Matrix(121,10,-4344,-359) Matrix(505,226,1334,597) -> Matrix(123,10,-3604,-293) Matrix(185,82,-828,-367) -> Matrix(51,4,-880,-69) Matrix(3081,1354,5336,2345) -> Matrix(25,2,-888,-71) Matrix(321,140,736,321) -> Matrix(181,14,-5624,-435) Matrix(139,60,322,139) -> Matrix(79,6,-2436,-185) Matrix(47,20,-322,-137) -> Matrix(27,2,-500,-37) Matrix(2991,1264,5336,2255) -> Matrix(791,58,-26744,-1961) Matrix(21345,9016,29624,12513) -> Matrix(2951,216,-111168,-8137) Matrix(16007,6760,22218,9383) -> Matrix(2461,180,-92684,-6779) Matrix(1057,446,-3818,-1611) -> Matrix(247,18,-3856,-281) Matrix(643,270,874,367) -> Matrix(113,8,-4280,-303) Matrix(1747,732,2852,1195) -> Matrix(119,8,-4180,-281) Matrix(967,404,-2530,-1057) -> Matrix(27,2,-392,-29) Matrix(1243,514,2116,875) -> Matrix(35,2,-1208,-69) Matrix(1241,512,2116,873) -> Matrix(19,2,-656,-69) Matrix(229,94,782,321) -> Matrix(25,2,-688,-55) Matrix(829,338,-2254,-919) -> Matrix(1,0,0,1) Matrix(91,36,230,91) -> Matrix(55,4,-1664,-121) Matrix(323,126,828,323) -> Matrix(197,14,-5896,-419) Matrix(1195,464,1656,643) -> Matrix(113,8,-4280,-303) Matrix(1657,642,2852,1105) -> Matrix(57,4,-1924,-135) Matrix(1195,462,-4048,-1565) -> Matrix(57,4,-1012,-71) Matrix(459,176,-2162,-829) -> Matrix(1,0,-4,1) Matrix(2759,1056,4324,1655) -> Matrix(59,4,-2080,-141) Matrix(7129,2728,18630,7129) -> Matrix(89,6,-2596,-175) Matrix(2991,1144,7820,2991) -> Matrix(29,2,-856,-59) Matrix(3681,1406,-16376,-6255) -> Matrix(175,12,-3048,-209) Matrix(321,122,-1334,-507) -> Matrix(29,2,-624,-43) Matrix(597,226,1334,505) -> Matrix(147,10,-4660,-317) Matrix(323,122,368,139) -> Matrix(89,6,-3664,-247) Matrix(1335,494,2116,783) -> Matrix(41,2,-1456,-71) Matrix(1333,492,2116,781) -> Matrix(17,2,-604,-71) Matrix(1747,642,6256,2299) -> Matrix(1,0,-16,1) Matrix(93,34,506,185) -> Matrix(1,0,-12,1) Matrix(2669,966,4324,1565) -> Matrix(563,40,-19888,-1413) Matrix(459,166,506,183) -> Matrix(113,8,-4732,-335) Matrix(1059,382,3956,1427) -> Matrix(143,10,-3904,-273) Matrix(323,116,-1150,-413) -> Matrix(29,2,-392,-27) Matrix(1287,458,3358,1195) -> Matrix(57,4,-1696,-119) Matrix(1289,458,-4140,-1471) -> Matrix(173,12,-2696,-187) Matrix(507,178,920,323) -> Matrix(89,6,-2952,-199) Matrix(321,112,920,321) -> Matrix(209,14,-6076,-407) Matrix(47,16,138,47) -> Matrix(31,2,-884,-57) Matrix(183,58,-874,-277) -> Matrix(61,4,-1144,-75) Matrix(827,258,-3542,-1105) -> Matrix(185,12,-3068,-199) Matrix(183,56,598,183) -> Matrix(127,8,-3572,-225) Matrix(139,42,460,139) -> Matrix(97,6,-2700,-167) Matrix(47,14,-460,-137) -> Matrix(33,2,-644,-39) Matrix(13387,3978,19044,5659) -> Matrix(2275,138,-84752,-5141) Matrix(13385,3976,19044,5657) -> Matrix(2477,150,-92260,-5587) Matrix(1241,368,2944,873) -> Matrix(233,14,-7040,-423) Matrix(1703,504,2024,599) -> Matrix(235,14,-9484,-565) Matrix(4829,1428,16330,4829) -> Matrix(305,18,-8252,-487) Matrix(2991,884,10120,2991) -> Matrix(103,6,-2764,-161) Matrix(321,94,782,229) -> Matrix(33,2,-1040,-63) Matrix(323,94,1426,415) -> Matrix(33,2,-908,-55) Matrix(277,80,322,93) -> Matrix(69,4,-2812,-163) Matrix(1519,430,2116,599) -> Matrix(53,2,-1988,-75) Matrix(1517,428,2116,597) -> Matrix(13,2,-488,-75) Matrix(12835,3588,22218,6211) -> Matrix(27,2,-932,-69) Matrix(17111,4782,29624,8279) -> Matrix(1,0,-20,1) Matrix(3129,874,3956,1105) -> Matrix(59,4,-2316,-157) Matrix(1013,282,1656,461) -> Matrix(119,8,-4180,-281) Matrix(1379,382,4646,1287) -> Matrix(249,16,-6832,-439) Matrix(507,140,-2162,-597) -> Matrix(95,6,-1536,-97) Matrix(415,114,506,139) -> Matrix(97,6,-3864,-239) Matrix(229,62,506,137) -> Matrix(33,2,-1040,-63) Matrix(231,62,-1196,-321) -> Matrix(33,2,-512,-31) Matrix(13939,3738,19044,5107) -> Matrix(1945,118,-73432,-4455) Matrix(13937,3736,19044,5105) -> Matrix(1751,106,-66092,-4001) Matrix(1427,382,3956,1059) -> Matrix(167,10,-4960,-297) Matrix(507,134,874,231) -> Matrix(33,2,-1172,-71) Matrix(229,60,874,229) -> Matrix(169,10,-4580,-271) Matrix(47,12,184,47) -> Matrix(35,2,-928,-53) Matrix(1611,386,2116,507) -> Matrix(59,2,-2272,-77) Matrix(1609,384,2116,505) -> Matrix(11,2,-424,-77) Matrix(25945,6064,33856,7913) -> Matrix(1451,88,-55880,-3389) Matrix(25943,6062,33856,7911) -> Matrix(1189,72,-45760,-2771) Matrix(6533,1492,8464,1933) -> Matrix(77,4,-2984,-155) Matrix(6531,1490,8464,1931) -> Matrix(61,4,-2364,-155) Matrix(415,94,1426,323) -> Matrix(33,2,-908,-55) Matrix(231,52,-1426,-321) -> Matrix(35,2,-648,-37) Matrix(14767,3318,19044,4279) -> Matrix(1223,70,-47400,-2713) Matrix(14765,3316,19044,4277) -> Matrix(1017,58,-39400,-2247) Matrix(91,20,414,91) -> Matrix(71,4,-1864,-105) Matrix(139,30,644,139) -> Matrix(109,6,-2816,-155) Matrix(459,98,1288,275) -> Matrix(73,4,-2172,-119) Matrix(737,156,874,185) -> Matrix(149,8,-6016,-323) Matrix(2851,596,3956,827) -> Matrix(301,16,-11344,-603) Matrix(1011,194,2392,459) -> Matrix(133,8,-4040,-243) Matrix(185,34,506,93) -> Matrix(1,0,-12,1) Matrix(367,66,506,91) -> Matrix(73,4,-2756,-151) Matrix(137,24,782,137) -> Matrix(113,6,-2844,-151) Matrix(47,8,276,47) -> Matrix(39,2,-956,-49) Matrix(1425,226,2024,321) -> Matrix(203,10,-7572,-373) Matrix(689,108,874,137) -> Matrix(125,6,-4896,-235) Matrix(1795,274,2116,323) -> Matrix(71,2,-2876,-81) Matrix(1793,272,2116,321) -> Matrix(7,2,-284,-81) Matrix(229,32,322,45) -> Matrix(37,2,-1388,-75) Matrix(91,12,690,91) -> Matrix(79,4,-1916,-97) Matrix(47,6,368,47) -> Matrix(41,2,-964,-47) Matrix(229,28,368,45) -> Matrix(41,2,-1456,-71) Matrix(323,30,506,47) -> Matrix(41,2,-1456,-71) Matrix(137,-14,460,-47) -> Matrix(49,2,-1348,-55) Matrix(137,-20,322,-47) -> Matrix(51,2,-1556,-61) Matrix(1471,-236,2300,-369) -> Matrix(97,4,-3468,-143) Matrix(413,-78,736,-139) -> Matrix(157,6,-5312,-203) Matrix(137,-28,230,-47) -> Matrix(51,2,-1760,-69) Matrix(829,-176,2162,-459) -> Matrix(1,0,-4,1) Matrix(2161,-484,3496,-783) -> Matrix(49,2,-1740,-71) Matrix(3265,-736,5106,-1151) -> Matrix(267,10,-9532,-357) Matrix(323,-74,598,-137) -> Matrix(53,2,-1776,-67) Matrix(413,-96,598,-139) -> Matrix(163,6,-6004,-221) Matrix(599,-142,966,-229) -> Matrix(57,2,-2024,-71) Matrix(5657,-1516,7728,-2071) -> Matrix(1263,46,-47692,-1737) Matrix(2115,-568,3772,-1013) -> Matrix(773,28,-26144,-947) Matrix(1839,-508,2668,-737) -> Matrix(677,24,-24908,-883) Matrix(1611,-446,3818,-1057) -> Matrix(511,18,-15472,-545) Matrix(4463,-1248,7728,-2161) -> Matrix(59,2,-2036,-69) Matrix(413,-116,1150,-323) -> Matrix(61,2,-1800,-59) Matrix(1011,-298,1564,-461) -> Matrix(113,4,-4040,-143) Matrix(6209,-1844,8832,-2623) -> Matrix(1813,66,-67548,-2459) Matrix(459,-142,598,-185) -> Matrix(227,8,-8768,-309) Matrix(553,-174,874,-275) -> Matrix(113,4,-4040,-143) Matrix(1103,-390,1564,-553) -> Matrix(1,0,-8,1) Matrix(3771,-1340,4922,-1749) -> Matrix(119,4,-4552,-153) Matrix(1289,-462,1794,-643) -> Matrix(471,16,-17692,-601) Matrix(1931,-696,2300,-829) -> Matrix(713,24,-28728,-967) Matrix(599,-220,874,-321) -> Matrix(63,2,-2300,-73) Matrix(231,-86,368,-137) -> Matrix(57,2,-2024,-71) Matrix(737,-280,966,-367) -> Matrix(353,12,-13620,-463) Matrix(875,-334,1564,-597) -> Matrix(61,2,-2044,-67) Matrix(321,-124,598,-231) -> Matrix(59,2,-2036,-69) Matrix(183,-74,230,-93) -> Matrix(123,4,-4828,-157) Matrix(323,-134,552,-229) -> Matrix(59,2,-2036,-69) Matrix(1105,-462,1978,-827) -> Matrix(121,4,-4084,-135) Matrix(5567,-2352,7728,-3265) -> Matrix(2003,66,-75416,-2485) Matrix(1289,-546,1518,-643) -> Matrix(731,24,-29636,-973) Matrix(597,-262,736,-323) -> Matrix(437,14,-17324,-555) Matrix(967,-426,1564,-689) -> Matrix(563,18,-19924,-637) Matrix(461,-212,598,-275) -> Matrix(125,4,-4844,-155) Matrix(367,-170,598,-277) -> Matrix(123,4,-4336,-141) Matrix(505,-268,782,-415) -> Matrix(467,14,-16712,-501) Matrix(1243,-674,1610,-873) -> Matrix(199,6,-7728,-233) Matrix(643,-358,828,-461) -> Matrix(539,16,-20920,-621) Matrix(275,-158,322,-185) -> Matrix(275,8,-11172,-325) Matrix(2761,-1596,3818,-2207) -> Matrix(137,4,-5172,-151) Matrix(1563,-910,2530,-1473) -> Matrix(269,8,-9516,-283) Matrix(1425,-844,2254,-1335) -> Matrix(73,2,-2592,-71) Matrix(2853,-1750,4048,-2483) -> Matrix(985,28,-36832,-1047) Matrix(1703,-1050,2162,-1333) -> Matrix(1623,46,-63544,-1801) Matrix(12695,-7846,16376,-10121) -> Matrix(2689,76,-104128,-2943) Matrix(1013,-628,1334,-827) -> Matrix(427,12,-16404,-461) Matrix(827,-530,1150,-737) -> Matrix(283,8,-10648,-301) Matrix(2851,-1838,4140,-2669) -> Matrix(2859,80,-105104,-2941) Matrix(691,-472,874,-597) -> Matrix(221,6,-8656,-235) Matrix(2715,-1868,3542,-2437) -> Matrix(1249,34,-48160,-1311) Matrix(413,-290,460,-323) -> Matrix(521,14,-21696,-583) Matrix(1655,-1198,2162,-1565) -> Matrix(151,4,-5776,-153) Matrix(965,-706,1196,-875) -> Matrix(679,18,-26896,-713) Matrix(1195,-926,1426,-1105) -> Matrix(309,8,-12476,-323) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 12 Minimal number of generators: 3 Number of equivalence classes of cusps: 4 Genus: 0 Degree of H/liftables -> H/(image of liftables): 66 Degree of the the map X: 132 Degree of the the map Y: 264 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 792 Minimal number of generators: 133 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 44 Genus: 45 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -7/15 -5/21 0/1 1/9 1/8 3/23 1/7 1/6 4/23 3/17 2/11 1/5 5/23 2/9 3/13 1/4 6/23 5/19 3/11 2/7 3/10 7/23 1/3 8/23 9/23 2/5 10/23 1/2 13/23 93/161 14/23 71/115 15/23 2/3 16/23 81/115 17/23 35/46 71/92 18/23 19/23 20/23 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/0 -8/9 -2/5 -7/18 -7/8 -7/20 -1/3 -20/23 -1/3 -13/15 -13/40 -6/7 -4/13 -3/10 -11/13 -9/32 -5/6 -5/19 -1/4 -9/11 -1/4 -4/5 -2/9 -3/14 -15/19 -5/24 -11/14 -11/54 -1/5 -18/23 -1/5 -7/9 -7/36 -17/22 -1/5 -5/26 -10/13 -4/21 -3/16 -3/4 -3/17 -1/6 -11/15 -11/68 -19/26 -7/44 -3/19 -8/11 -1/6 -2/13 -5/7 -3/20 -12/17 -2/13 -3/20 -31/44 -11/73 -3/20 -19/27 -3/20 -7/10 -7/48 -1/7 -16/23 -1/7 -9/13 -9/64 -11/16 -7/51 -3/22 -2/3 -2/15 -1/8 -11/17 -1/8 -9/14 -3/25 -5/42 -7/11 -1/8 -5/8 -1/8 -1/9 -23/37 -7/60 -18/29 -1/8 0/1 -13/21 -7/60 -21/34 -17/147 -3/26 -29/47 -29/252 -8/13 -4/35 -5/44 -19/31 -19/168 -11/18 -11/98 -1/9 -14/23 -1/9 -3/5 -3/28 -7/12 -3/29 -1/10 -11/19 -3/28 -26/45 -2/19 -1/10 -15/26 -1/9 -3/28 -4/7 -4/39 -1/10 -5/9 -5/52 -16/29 -3/32 -4/43 -11/20 -1/11 -1/12 -6/11 -1/10 -2/21 -1/2 -1/11 -1/12 -7/15 -7/88 -6/13 -1/12 0/1 -11/24 -1/13 -1/14 -5/11 -1/12 -4/9 -2/25 -3/38 -11/25 -5/64 -7/16 -7/90 -1/13 -10/23 -1/13 -3/7 -3/40 -5/12 -1/13 -1/14 -7/17 -1/12 -9/22 -1/13 -1/14 -11/27 -1/12 -2/5 -2/27 -1/14 -5/13 -5/72 -8/21 -5/72 -2/29 -11/29 -3/44 -3/8 -1/15 -1/16 -7/19 -1/12 -4/11 -2/27 -1/14 -9/25 -5/72 -5/14 -1/14 -1/15 -11/31 -11/160 -17/48 -11/161 -3/44 -6/17 -2/29 -3/44 -7/20 -7/104 -1/15 -8/23 -1/15 -1/3 -1/16 -3/10 -1/16 -3/49 -5/17 -1/16 -7/24 -3/50 -1/17 -9/31 -9/152 -2/7 -1/18 0/1 -7/25 -1/16 -12/43 -1/16 0/1 -5/18 -1/15 -3/46 -3/11 -1/16 -1/4 -1/17 -1/18 -5/21 -1/12 -4/17 -2/31 -1/16 -3/13 -3/52 -5/22 -1/17 -1/18 -7/31 -7/120 -2/9 -2/35 -1/18 -1/5 -1/20 -1/6 -1/19 -1/20 -1/7 -1/20 -1/8 -1/20 -1/21 0/1 -1/22 0/1 1/9 -1/20 1/8 -1/23 -1/24 3/23 -1/24 2/15 -1/24 -2/49 1/7 -1/24 1/6 -1/24 -1/25 4/23 -1/25 3/17 -3/76 2/11 -2/51 -1/26 1/5 -1/24 3/14 -3/77 -1/26 5/23 -1/26 2/9 -1/26 -2/53 7/31 -7/188 5/22 -1/26 -1/27 3/13 -3/80 4/17 -1/28 -2/57 1/4 -1/26 -1/27 6/23 -1/27 5/19 -5/136 4/15 -2/55 -1/28 3/11 -1/28 5/18 -3/86 -1/29 12/43 -1/28 0/1 19/68 -1/29 -1/30 7/25 -1/28 2/7 -1/26 0/1 9/31 -9/244 7/24 -1/27 -3/82 5/17 -1/28 13/44 -3/80 -1/27 34/115 -1/27 21/71 -9/244 8/27 -4/109 -3/82 3/10 -3/83 -1/28 7/23 -1/28 4/13 -1/28 -4/113 1/3 -1/28 8/23 -1/29 7/20 -1/29 -7/204 6/17 -3/88 -2/59 11/31 -11/324 5/14 -1/29 -1/30 9/25 -5/148 4/11 -1/30 -2/61 7/19 -1/32 3/8 -1/28 -1/29 14/37 -4/117 -11/322 11/29 -3/88 8/21 -2/59 -5/148 13/34 -1/29 -1/30 44/115 -1/29 31/81 -3/88 18/47 -2/59 -1/30 5/13 -5/148 7/18 -7/209 -1/30 9/23 -1/30 2/5 -1/30 -2/61 9/22 -1/30 -1/31 7/17 -1/32 5/12 -1/30 -1/31 3/7 -3/92 10/23 -1/31 7/16 -1/31 -7/218 11/25 -5/156 4/9 -3/94 -2/63 5/11 -1/32 6/13 -1/32 0/1 1/2 -1/32 -1/33 7/13 -1/32 13/24 -1/33 -1/34 6/11 -2/67 -1/34 11/20 -1/32 -1/33 16/29 -4/133 -3/100 5/9 -5/168 9/16 -9/305 -1/34 13/23 -1/34 4/7 -1/34 -4/137 15/26 -3/104 -1/35 41/71 -3/104 67/116 -1/34 -1/35 93/161 -1/34 26/45 -1/34 -2/69 11/19 -3/104 7/12 -1/34 -3/103 17/29 -5/172 27/46 -2/69 10/17 -2/69 -3/104 3/5 -3/104 14/23 -1/35 11/18 -1/35 -11/386 30/49 -9/316 -8/281 19/31 -19/668 27/44 -5/176 -9/317 8/13 -5/176 -4/141 29/47 -29/1024 50/81 -46/1625 -3/106 71/115 -3/106 21/34 -3/106 -17/601 13/21 -7/248 31/50 -5/178 -3/107 18/29 -1/36 0/1 23/37 -7/248 5/8 -1/35 -1/36 17/27 -7/248 29/46 -2/71 12/19 -2/71 -5/178 7/11 -1/36 9/14 -5/178 -3/107 20/31 -4/143 -17/608 11/17 -1/36 13/20 -13/467 -1/36 15/23 -1/36 2/3 -1/36 -2/73 11/16 -3/110 -7/257 9/13 -9/332 16/23 -1/37 7/10 -1/37 -7/260 26/37 -21/782 -4/149 19/27 -3/112 50/71 -22/821 -3/112 81/115 -3/112 31/44 -3/112 -11/411 43/61 -11/412 12/17 -3/112 -2/75 5/7 -3/112 8/11 -2/75 -1/38 19/26 -3/113 -7/264 30/41 -15/566 -4/151 11/15 -11/416 14/19 -14/531 -1/38 17/23 -1/38 3/4 -1/38 -3/115 19/25 -13/500 35/46 -2/77 16/21 -2/77 -11/424 13/17 -3/116 10/13 -3/116 -4/155 27/35 -3/116 71/92 -4/155 44/57 -4/155 -5/194 17/22 -5/194 -1/39 24/31 -3/116 -4/155 7/9 -7/272 18/23 -1/39 11/14 -1/39 -11/430 37/47 -37/1448 26/33 -19/744 -6/235 15/19 -5/196 19/24 -1/39 -3/118 4/5 -3/118 -2/79 9/11 -1/40 14/17 -14/559 -1/40 19/23 -1/40 5/6 -1/40 -5/201 11/13 -9/364 6/7 -3/122 -4/163 13/15 -13/532 20/23 -1/41 7/8 -1/41 -7/288 8/9 -7/290 -2/83 9/10 -3/125 -7/292 1/1 -1/44 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(344,307,437,390) (-1/1,-8/9) -> (11/14,37/47) Hyperbolic Matrix(139,122,368,323) (-8/9,-7/8) -> (3/8,14/37) Hyperbolic Matrix(321,280,368,321) (-7/8,-20/23) -> (20/23,7/8) Hyperbolic Matrix(599,520,690,599) (-20/23,-13/15) -> (13/15,20/23) Hyperbolic Matrix(93,80,322,277) (-13/15,-6/7) -> (2/7,9/31) Hyperbolic Matrix(206,175,-299,-254) (-6/7,-11/13) -> (-9/13,-11/16) Hyperbolic Matrix(70,59,-299,-252) (-11/13,-5/6) -> (-4/17,-3/13) Hyperbolic Matrix(208,171,253,208) (-5/6,-9/11) -> (9/11,14/17) Hyperbolic Matrix(70,57,-253,-206) (-9/11,-4/5) -> (-5/18,-3/11) Hyperbolic Matrix(93,74,-230,-183) (-4/5,-15/19) -> (-11/27,-2/5) Hyperbolic Matrix(760,599,1081,852) (-15/19,-11/14) -> (26/37,19/27) Hyperbolic Matrix(505,396,644,505) (-11/14,-18/23) -> (18/23,11/14) Hyperbolic Matrix(323,252,414,323) (-18/23,-7/9) -> (7/9,18/23) Hyperbolic Matrix(22,17,207,160) (-7/9,-17/22) -> (0/1,1/9) Hyperbolic Matrix(275,212,-598,-461) (-17/22,-10/13) -> (-6/13,-11/24) Hyperbolic Matrix(116,89,391,300) (-10/13,-3/4) -> (8/27,3/10) Hyperbolic Matrix(254,187,345,254) (-3/4,-11/15) -> (11/15,14/19) Hyperbolic Matrix(944,691,1541,1128) (-11/15,-19/26) -> (30/49,19/31) Hyperbolic Matrix(277,202,506,369) (-19/26,-8/11) -> (6/11,11/20) Hyperbolic Matrix(68,49,-161,-116) (-8/11,-5/7) -> (-3/7,-5/12) Hyperbolic Matrix(24,17,-161,-114) (-5/7,-12/17) -> (-1/6,-1/7) Hyperbolic Matrix(553,390,-1564,-1103) (-12/17,-31/44) -> (-17/48,-6/17) Hyperbolic Matrix(2186,1539,3105,2186) (-31/44,-19/27) -> (19/27,50/71) Hyperbolic Matrix(852,599,1081,760) (-19/27,-7/10) -> (26/33,15/19) Hyperbolic Matrix(321,224,460,321) (-7/10,-16/23) -> (16/23,7/10) Hyperbolic Matrix(415,288,598,415) (-16/23,-9/13) -> (9/13,16/23) Hyperbolic Matrix(252,173,-437,-300) (-11/16,-2/3) -> (-15/26,-4/7) Hyperbolic Matrix(254,165,391,254) (-2/3,-11/17) -> (11/17,13/20) Hyperbolic Matrix(392,253,1035,668) (-11/17,-9/14) -> (14/37,11/29) Hyperbolic Matrix(114,73,-253,-162) (-9/14,-7/11) -> (-5/11,-4/9) Hyperbolic Matrix(68,43,253,160) (-7/11,-5/8) -> (4/15,3/11) Hyperbolic Matrix(45,28,368,229) (-5/8,-23/37) -> (1/9,1/8) Hyperbolic Matrix(737,458,1334,829) (-23/37,-18/29) -> (16/29,5/9) Hyperbolic Matrix(229,142,-966,-599) (-18/29,-13/21) -> (-5/21,-4/17) Hyperbolic Matrix(390,241,-1081,-668) (-13/21,-21/34) -> (-4/11,-9/25) Hyperbolic Matrix(3336,2059,5405,3336) (-21/34,-29/47) -> (29/47,50/81) Hyperbolic Matrix(436,269,483,298) (-29/47,-8/13) -> (9/10,1/1) Hyperbolic Matrix(277,170,-598,-367) (-8/13,-19/31) -> (-7/15,-6/13) Hyperbolic Matrix(1128,691,1541,944) (-19/31,-11/18) -> (30/41,11/15) Hyperbolic Matrix(505,308,828,505) (-11/18,-14/23) -> (14/23,11/18) Hyperbolic Matrix(139,84,230,139) (-14/23,-3/5) -> (3/5,14/23) Hyperbolic Matrix(22,13,115,68) (-3/5,-7/12) -> (2/11,1/5) Hyperbolic Matrix(160,93,-437,-254) (-7/12,-11/19) -> (-7/19,-4/11) Hyperbolic Matrix(666,385,-1633,-944) (-11/19,-26/45) -> (-9/22,-11/27) Hyperbolic Matrix(1034,597,3703,2138) (-26/45,-15/26) -> (12/43,19/68) Hyperbolic Matrix(116,65,207,116) (-4/7,-5/9) -> (5/9,9/16) Hyperbolic Matrix(829,458,1334,737) (-5/9,-16/29) -> (18/29,23/37) Hyperbolic Matrix(323,178,920,507) (-16/29,-11/20) -> (7/20,6/17) Hyperbolic Matrix(369,202,506,277) (-11/20,-6/11) -> (8/11,19/26) Hyperbolic Matrix(114,61,299,160) (-6/11,-1/2) -> (8/21,13/34) Hyperbolic Matrix(277,130,-782,-367) (-1/2,-7/15) -> (-11/31,-17/48) Hyperbolic Matrix(942,431,2461,1126) (-11/24,-5/11) -> (31/81,18/47) Hyperbolic Matrix(206,91,-575,-254) (-4/9,-11/25) -> (-9/25,-5/14) Hyperbolic Matrix(162,71,-575,-252) (-11/25,-7/16) -> (-2/7,-7/25) Hyperbolic Matrix(321,140,736,321) (-7/16,-10/23) -> (10/23,7/16) Hyperbolic Matrix(139,60,322,139) (-10/23,-3/7) -> (3/7,10/23) Hyperbolic Matrix(70,29,391,162) (-5/12,-7/17) -> (3/17,2/11) Hyperbolic Matrix(229,94,782,321) (-7/17,-9/22) -> (7/24,5/17) Hyperbolic Matrix(116,45,299,116) (-2/5,-5/13) -> (5/13,7/18) Hyperbolic Matrix(160,61,299,114) (-5/13,-8/21) -> (1/2,7/13) Hyperbolic Matrix(482,183,1633,620) (-8/21,-11/29) -> (5/17,13/44) Hyperbolic Matrix(668,253,1035,392) (-11/29,-3/8) -> (20/31,11/17) Hyperbolic Matrix(116,43,437,162) (-3/8,-7/19) -> (5/19,4/15) Hyperbolic Matrix(160,57,-713,-254) (-5/14,-11/31) -> (-7/31,-2/9) Hyperbolic Matrix(507,178,920,323) (-6/17,-7/20) -> (11/20,16/29) Hyperbolic Matrix(321,112,920,321) (-7/20,-8/23) -> (8/23,7/20) Hyperbolic Matrix(47,16,138,47) (-8/23,-1/3) -> (1/3,8/23) Hyperbolic Matrix(22,7,69,22) (-1/3,-3/10) -> (4/13,1/3) Hyperbolic Matrix(300,89,391,116) (-3/10,-5/17) -> (13/17,10/13) Hyperbolic Matrix(321,94,782,229) (-5/17,-7/24) -> (9/22,7/17) Hyperbolic Matrix(323,94,1426,415) (-7/24,-9/31) -> (7/31,5/22) Hyperbolic Matrix(277,80,322,93) (-9/31,-2/7) -> (6/7,13/15) Hyperbolic Matrix(2138,597,3703,1034) (-7/25,-12/43) -> (15/26,41/71) Hyperbolic Matrix(1013,282,1656,461) (-12/43,-5/18) -> (11/18,30/49) Hyperbolic Matrix(160,43,253,68) (-3/11,-1/4) -> (12/19,7/11) Hyperbolic Matrix(252,61,851,206) (-1/4,-5/21) -> (21/71,8/27) Hyperbolic Matrix(344,79,897,206) (-3/13,-5/22) -> (18/47,5/13) Hyperbolic Matrix(415,94,1426,323) (-5/22,-7/31) -> (9/31,7/24) Hyperbolic Matrix(24,5,115,24) (-2/9,-1/5) -> (1/5,3/14) Hyperbolic Matrix(68,13,115,22) (-1/5,-1/6) -> (10/17,3/5) Hyperbolic Matrix(22,3,161,22) (-1/7,-1/8) -> (2/15,1/7) Hyperbolic Matrix(160,17,207,22) (-1/8,0/1) -> (17/22,24/31) Hyperbolic Matrix(70,-9,529,-68) (1/8,3/23) -> (3/23,2/15) Parabolic Matrix(114,-17,161,-24) (1/7,1/6) -> (12/17,5/7) Hyperbolic Matrix(392,-67,667,-114) (1/6,4/23) -> (27/46,10/17) Hyperbolic Matrix(850,-149,1449,-254) (4/23,3/17) -> (17/29,27/46) Hyperbolic Matrix(116,-25,529,-114) (3/14,5/23) -> (5/23,2/9) Parabolic Matrix(254,-57,713,-160) (2/9,7/31) -> (11/31,5/14) Hyperbolic Matrix(323,-74,598,-137) (5/22,3/13) -> (7/13,13/24) Hyperbolic Matrix(252,-59,299,-70) (3/13,4/17) -> (5/6,11/13) Hyperbolic Matrix(599,-142,966,-229) (4/17,1/4) -> (31/50,18/29) Hyperbolic Matrix(392,-101,621,-160) (1/4,6/23) -> (29/46,12/19) Hyperbolic Matrix(942,-247,1495,-392) (6/23,5/19) -> (17/27,29/46) Hyperbolic Matrix(206,-57,253,-70) (3/11,5/18) -> (4/5,9/11) Hyperbolic Matrix(1632,-455,2231,-622) (5/18,12/43) -> (19/26,30/41) Hyperbolic Matrix(4463,-1248,7728,-2161) (19/68,7/25) -> (41/71,67/116) Hyperbolic Matrix(252,-71,575,-162) (7/25,2/7) -> (7/16,11/25) Hyperbolic Matrix(3380,-999,4439,-1312) (13/44,34/115) -> (35/46,16/21) Hyperbolic Matrix(4670,-1381,6141,-1816) (34/115,21/71) -> (19/25,35/46) Hyperbolic Matrix(162,-49,529,-160) (3/10,7/23) -> (7/23,4/13) Parabolic Matrix(1103,-390,1564,-553) (6/17,11/31) -> (43/61,12/17) Hyperbolic Matrix(254,-91,575,-206) (5/14,9/25) -> (11/25,4/9) Hyperbolic Matrix(668,-241,1081,-390) (9/25,4/11) -> (21/34,13/21) Hyperbolic Matrix(254,-93,437,-160) (4/11,7/19) -> (11/19,7/12) Hyperbolic Matrix(231,-86,368,-137) (7/19,3/8) -> (5/8,17/27) Hyperbolic Matrix(737,-280,966,-367) (11/29,8/21) -> (16/21,13/17) Hyperbolic Matrix(7474,-2859,9683,-3704) (13/34,44/115) -> (71/92,44/57) Hyperbolic Matrix(8856,-3389,11477,-4392) (44/115,31/81) -> (27/35,71/92) Hyperbolic Matrix(208,-81,529,-206) (7/18,9/23) -> (9/23,2/5) Parabolic Matrix(183,-74,230,-93) (2/5,9/22) -> (19/24,4/5) Hyperbolic Matrix(323,-134,552,-229) (7/17,5/12) -> (7/12,17/29) Hyperbolic Matrix(116,-49,161,-68) (5/12,3/7) -> (5/7,8/11) Hyperbolic Matrix(162,-73,253,-114) (4/9,5/11) -> (7/11,9/14) Hyperbolic Matrix(461,-212,598,-275) (5/11,6/13) -> (10/13,27/35) Hyperbolic Matrix(367,-170,598,-277) (6/13,1/2) -> (27/44,8/13) Hyperbolic Matrix(1243,-674,1610,-873) (13/24,6/11) -> (44/57,17/22) Hyperbolic Matrix(300,-169,529,-298) (9/16,13/23) -> (13/23,4/7) Parabolic Matrix(300,-173,437,-252) (4/7,15/26) -> (2/3,11/16) Hyperbolic Matrix(14974,-8649,25921,-14972) (67/116,93/161) -> (93/161,26/45) Parabolic Matrix(1036,-599,1311,-758) (26/45,11/19) -> (15/19,19/24) Hyperbolic Matrix(2853,-1750,4048,-2483) (19/31,27/44) -> (31/44,43/61) Hyperbolic Matrix(1703,-1050,2162,-1333) (8/13,29/47) -> (37/47,26/33) Hyperbolic Matrix(8166,-5041,13225,-8164) (50/81,71/115) -> (71/115,21/34) Parabolic Matrix(1013,-628,1334,-827) (13/21,31/50) -> (3/4,19/25) Hyperbolic Matrix(944,-587,1219,-758) (23/37,5/8) -> (24/31,7/9) Hyperbolic Matrix(346,-223,391,-252) (9/14,20/31) -> (7/8,8/9) Hyperbolic Matrix(346,-225,529,-344) (13/20,15/23) -> (15/23,2/3) Parabolic Matrix(254,-175,299,-206) (11/16,9/13) -> (11/13,6/7) Hyperbolic Matrix(413,-290,460,-323) (7/10,26/37) -> (8/9,9/10) Hyperbolic Matrix(9316,-6561,13225,-9314) (50/71,81/115) -> (81/115,31/44) Parabolic Matrix(392,-289,529,-390) (14/19,17/23) -> (17/23,3/4) Parabolic Matrix(438,-361,529,-436) (14/17,19/23) -> (19/23,5/6) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-44,1) Matrix(344,307,437,390) -> Matrix(37,15,-1448,-587) Matrix(139,122,368,323) -> Matrix(17,6,-496,-175) Matrix(321,280,368,321) -> Matrix(41,14,-1684,-575) Matrix(599,520,690,599) -> Matrix(79,26,-3236,-1065) Matrix(93,80,322,277) -> Matrix(13,4,-348,-107) Matrix(206,175,-299,-254) -> Matrix(31,9,-224,-65) Matrix(70,59,-299,-252) -> Matrix(11,3,-180,-49) Matrix(208,171,253,208) -> Matrix(37,9,-1476,-359) Matrix(70,57,-253,-206) -> Matrix(13,3,-204,-47) Matrix(93,74,-230,-183) -> Matrix(19,4,-252,-53) Matrix(760,599,1081,852) -> Matrix(111,23,-4136,-857) Matrix(505,396,644,505) -> Matrix(109,22,-4256,-859) Matrix(323,252,414,323) -> Matrix(71,14,-2764,-545) Matrix(22,17,207,160) -> Matrix(5,1,-136,-27) Matrix(275,212,-598,-461) -> Matrix(21,4,-268,-51) Matrix(116,89,391,300) -> Matrix(27,5,-740,-137) Matrix(254,187,345,254) -> Matrix(67,11,-2540,-417) Matrix(944,691,1541,1128) -> Matrix(181,29,-6360,-1019) Matrix(277,202,506,369) -> Matrix(25,4,-844,-135) Matrix(68,49,-161,-116) -> Matrix(19,3,-260,-41) Matrix(24,17,-161,-114) -> Matrix(7,1,-120,-17) Matrix(553,390,-1564,-1103) -> Matrix(1,0,-8,1) Matrix(2186,1539,3105,2186) -> Matrix(221,33,-8244,-1231) Matrix(852,599,1081,760) -> Matrix(155,23,-6072,-901) Matrix(321,224,460,321) -> Matrix(97,14,-3596,-519) Matrix(415,288,598,415) -> Matrix(127,18,-4692,-665) Matrix(252,173,-437,-300) -> Matrix(37,5,-348,-47) Matrix(254,165,391,254) -> Matrix(89,11,-3196,-395) Matrix(392,253,1035,668) -> Matrix(107,13,-3136,-381) Matrix(114,73,-253,-162) -> Matrix(9,1,-100,-11) Matrix(68,43,253,160) -> Matrix(25,3,-692,-83) Matrix(45,28,368,229) -> Matrix(17,2,-400,-47) Matrix(737,458,1334,829) -> Matrix(35,4,-1164,-133) Matrix(229,142,-966,-599) -> Matrix(17,2,-264,-31) Matrix(390,241,-1081,-668) -> Matrix(95,11,-1356,-157) Matrix(3336,2059,5405,3336) -> Matrix(755,87,-26668,-3073) Matrix(436,269,483,298) -> Matrix(113,13,-4720,-543) Matrix(277,170,-598,-367) -> Matrix(35,4,-464,-53) Matrix(1128,691,1541,944) -> Matrix(257,29,-9704,-1095) Matrix(505,308,828,505) -> Matrix(197,22,-6904,-771) Matrix(139,84,230,139) -> Matrix(55,6,-1916,-209) Matrix(22,13,115,68) -> Matrix(9,1,-244,-27) Matrix(160,93,-437,-254) -> Matrix(9,1,-136,-15) Matrix(666,385,-1633,-944) -> Matrix(9,1,-136,-15) Matrix(1034,597,3703,2138) -> Matrix(9,1,-280,-31) Matrix(116,65,207,116) -> Matrix(51,5,-1724,-169) Matrix(829,458,1334,737) -> Matrix(43,4,-1516,-141) Matrix(323,178,920,507) -> Matrix(65,6,-1896,-175) Matrix(369,202,506,277) -> Matrix(41,4,-1548,-151) Matrix(114,61,299,160) -> Matrix(31,3,-920,-89) Matrix(277,130,-782,-367) -> Matrix(99,8,-1448,-117) Matrix(942,431,2461,1126) -> Matrix(15,1,-436,-29) Matrix(206,91,-575,-254) -> Matrix(63,5,-920,-73) Matrix(162,71,-575,-252) -> Matrix(13,1,-144,-11) Matrix(321,140,736,321) -> Matrix(181,14,-5624,-435) Matrix(139,60,322,139) -> Matrix(79,6,-2436,-185) Matrix(70,29,391,162) -> Matrix(15,1,-376,-25) Matrix(229,94,782,321) -> Matrix(25,2,-688,-55) Matrix(116,45,299,116) -> Matrix(71,5,-2116,-149) Matrix(160,61,299,114) -> Matrix(43,3,-1448,-101) Matrix(482,183,1633,620) -> Matrix(15,1,-376,-25) Matrix(668,253,1035,392) -> Matrix(191,13,-6832,-465) Matrix(116,43,437,162) -> Matrix(17,1,-460,-27) Matrix(160,57,-713,-254) -> Matrix(43,3,-760,-53) Matrix(507,178,920,323) -> Matrix(89,6,-2952,-199) Matrix(321,112,920,321) -> Matrix(209,14,-6076,-407) Matrix(47,16,138,47) -> Matrix(31,2,-884,-57) Matrix(22,7,69,22) -> Matrix(15,1,-436,-29) Matrix(300,89,391,116) -> Matrix(83,5,-3204,-193) Matrix(321,94,782,229) -> Matrix(33,2,-1040,-63) Matrix(323,94,1426,415) -> Matrix(33,2,-908,-55) Matrix(277,80,322,93) -> Matrix(69,4,-2812,-163) Matrix(2138,597,3703,1034) -> Matrix(13,1,-456,-35) Matrix(1013,282,1656,461) -> Matrix(119,8,-4180,-281) Matrix(160,43,253,68) -> Matrix(49,3,-1748,-107) Matrix(252,61,851,206) -> Matrix(21,1,-568,-27) Matrix(344,79,897,206) -> Matrix(19,1,-552,-29) Matrix(415,94,1426,323) -> Matrix(33,2,-908,-55) Matrix(24,5,115,24) -> Matrix(19,1,-476,-25) Matrix(68,13,115,22) -> Matrix(17,1,-596,-35) Matrix(22,3,161,22) -> Matrix(19,1,-476,-25) Matrix(160,17,207,22) -> Matrix(17,1,-664,-39) Matrix(70,-9,529,-68) -> Matrix(71,3,-1728,-73) Matrix(114,-17,161,-24) -> Matrix(27,1,-1000,-37) Matrix(392,-67,667,-114) -> Matrix(123,5,-4256,-173) Matrix(850,-149,1449,-254) -> Matrix(277,11,-9544,-379) Matrix(116,-25,529,-114) -> Matrix(129,5,-3380,-131) Matrix(254,-57,713,-160) -> Matrix(79,3,-2344,-89) Matrix(323,-74,598,-137) -> Matrix(53,2,-1776,-67) Matrix(252,-59,299,-70) -> Matrix(83,3,-3348,-121) Matrix(599,-142,966,-229) -> Matrix(57,2,-2024,-71) Matrix(392,-101,621,-160) -> Matrix(187,7,-6652,-249) Matrix(942,-247,1495,-392) -> Matrix(461,17,-16352,-603) Matrix(206,-57,253,-70) -> Matrix(85,3,-3372,-119) Matrix(1632,-455,2231,-622) -> Matrix(91,3,-3428,-113) Matrix(4463,-1248,7728,-2161) -> Matrix(59,2,-2036,-69) Matrix(252,-71,575,-162) -> Matrix(33,1,-1024,-31) Matrix(3380,-999,4439,-1312) -> Matrix(457,17,-17608,-655) Matrix(4670,-1381,6141,-1816) -> Matrix(839,31,-32288,-1193) Matrix(162,-49,529,-160) -> Matrix(195,7,-5488,-197) Matrix(1103,-390,1564,-553) -> Matrix(1,0,-8,1) Matrix(254,-91,575,-206) -> Matrix(147,5,-4616,-157) Matrix(668,-241,1081,-390) -> Matrix(327,11,-11564,-389) Matrix(254,-93,437,-160) -> Matrix(29,1,-1016,-35) Matrix(231,-86,368,-137) -> Matrix(57,2,-2024,-71) Matrix(737,-280,966,-367) -> Matrix(353,12,-13620,-463) Matrix(7474,-2859,9683,-3704) -> Matrix(25,1,-976,-39) Matrix(8856,-3389,11477,-4392) -> Matrix(439,15,-17004,-581) Matrix(208,-81,529,-206) -> Matrix(269,9,-8100,-271) Matrix(183,-74,230,-93) -> Matrix(123,4,-4828,-157) Matrix(323,-134,552,-229) -> Matrix(59,2,-2036,-69) Matrix(116,-49,161,-68) -> Matrix(91,3,-3428,-113) Matrix(162,-73,253,-114) -> Matrix(33,1,-1156,-35) Matrix(461,-212,598,-275) -> Matrix(125,4,-4844,-155) Matrix(367,-170,598,-277) -> Matrix(123,4,-4336,-141) Matrix(1243,-674,1610,-873) -> Matrix(199,6,-7728,-233) Matrix(300,-169,529,-298) -> Matrix(441,13,-15028,-443) Matrix(300,-173,437,-252) -> Matrix(173,5,-6332,-183) Matrix(14974,-8649,25921,-14972) -> Matrix(33,1,-1156,-35) Matrix(1036,-599,1311,-758) -> Matrix(241,7,-9468,-275) Matrix(2853,-1750,4048,-2483) -> Matrix(985,28,-36832,-1047) Matrix(1703,-1050,2162,-1333) -> Matrix(1623,46,-63544,-1801) Matrix(8166,-5041,13225,-8164) -> Matrix(6677,189,-235956,-6679) Matrix(1013,-628,1334,-827) -> Matrix(427,12,-16404,-461) Matrix(944,-587,1219,-758) -> Matrix(249,7,-9640,-271) Matrix(346,-223,391,-252) -> Matrix(393,11,-16256,-455) Matrix(346,-225,529,-344) -> Matrix(539,15,-19440,-541) Matrix(254,-175,299,-206) -> Matrix(331,9,-13424,-365) Matrix(413,-290,460,-323) -> Matrix(521,14,-21696,-583) Matrix(9316,-6561,13225,-9314) -> Matrix(3695,99,-137984,-3697) Matrix(392,-289,529,-390) -> Matrix(645,17,-24548,-647) Matrix(438,-361,529,-436) -> Matrix(759,19,-30400,-761) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 66 ----------------------------------------------------------------------- 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 0/1 (-1/22,0/1) 0 23 1/8 (-1/23,-1/24) 0 23 3/23 -1/24 3 1 1/7 -1/24 1 23 1/6 (-1/24,-1/25) 0 23 1/5 -1/24 1 23 5/23 -1/26 5 1 2/9 (-1/26,-2/53) 0 23 7/31 -7/188 1 23 5/22 (-1/26,-1/27) 0 23 3/13 -3/80 1 23 4/17 (-1/28,-2/57) 0 23 1/4 (-1/26,-1/27) 0 23 3/11 -1/28 1 23 5/18 (-3/86,-1/29) 0 23 12/43 (-1/28,0/1) 0 23 7/25 -1/28 1 23 2/7 (-1/26,0/1) 0 23 9/31 -9/244 1 23 7/24 (-1/27,-3/82) 0 23 5/17 -1/28 1 23 3/10 (-3/83,-1/28) 0 23 7/23 -1/28 7 1 1/3 -1/28 1 23 8/23 -1/29 8 1 7/20 (-1/29,-7/204) 0 23 6/17 (-3/88,-2/59) 0 23 11/31 -11/324 1 23 5/14 (-1/29,-1/30) 0 23 9/25 -5/148 1 23 4/11 (-1/30,-2/61) 0 23 7/19 -1/32 1 23 3/8 (-1/28,-1/29) 0 23 11/29 -3/88 1 23 8/21 (-2/59,-5/148) 0 23 5/13 -5/148 1 23 9/23 -1/30 9 1 2/5 (-1/30,-2/61) 0 23 9/22 (-1/30,-1/31) 0 23 7/17 -1/32 1 23 5/12 (-1/30,-1/31) 0 23 3/7 -3/92 1 23 10/23 -1/31 10 1 7/16 (-1/31,-7/218) 0 23 11/25 -5/156 1 23 4/9 (-3/94,-2/63) 0 23 5/11 -1/32 1 23 6/13 (-1/32,0/1) 0 23 1/2 (-1/32,-1/33) 0 23 7/13 -1/32 1 23 13/24 (-1/33,-1/34) 0 23 6/11 (-2/67,-1/34) 0 23 11/20 (-1/32,-1/33) 0 23 16/29 (-4/133,-3/100) 0 23 5/9 -5/168 1 23 13/23 -1/34 13 1 4/7 (-1/34,-4/137) 0 23 15/26 (-3/104,-1/35) 0 23 41/71 -3/104 1 23 93/161 -1/34 1 1 26/45 (-1/34,-2/69) 0 23 11/19 -3/104 1 23 7/12 (-1/34,-3/103) 0 23 17/29 -5/172 1 23 27/46 -2/69 4 1 10/17 (-2/69,-3/104) 0 23 3/5 -3/104 1 23 14/23 -1/35 14 1 11/18 (-1/35,-11/386) 0 23 19/31 -19/668 1 23 27/44 (-5/176,-9/317) 0 23 8/13 (-5/176,-4/141) 0 23 29/47 -29/1024 1 23 71/115 -3/106 21 1 21/34 (-3/106,-17/601) 0 23 13/21 -7/248 1 23 31/50 (-5/178,-3/107) 0 23 18/29 (-1/36,0/1) 0 23 23/37 -7/248 1 23 5/8 (-1/35,-1/36) 0 23 17/27 -7/248 1 23 29/46 -2/71 6 1 12/19 (-2/71,-5/178) 0 23 7/11 -1/36 1 23 9/14 (-5/178,-3/107) 0 23 20/31 (-4/143,-17/608) 0 23 11/17 -1/36 1 23 15/23 -1/36 15 1 2/3 (-1/36,-2/73) 0 23 11/16 (-3/110,-7/257) 0 23 9/13 -9/332 1 23 16/23 -1/37 16 1 7/10 (-1/37,-7/260) 0 23 19/27 -3/112 1 23 81/115 -3/112 11 1 31/44 (-3/112,-11/411) 0 23 43/61 -11/412 1 23 12/17 (-3/112,-2/75) 0 23 5/7 -3/112 1 23 8/11 (-2/75,-1/38) 0 23 19/26 (-3/113,-7/264) 0 23 30/41 (-15/566,-4/151) 0 23 11/15 -11/416 1 23 17/23 -1/38 17 1 3/4 (-1/38,-3/115) 0 23 19/25 -13/500 1 23 35/46 -2/77 12 1 16/21 (-2/77,-11/424) 0 23 13/17 -3/116 1 23 10/13 (-3/116,-4/155) 0 23 27/35 -3/116 1 23 71/92 -4/155 2 1 44/57 (-4/155,-5/194) 0 23 17/22 (-5/194,-1/39) 0 23 24/31 (-3/116,-4/155) 0 23 7/9 -7/272 1 23 18/23 -1/39 18 1 11/14 (-1/39,-11/430) 0 23 26/33 (-19/744,-6/235) 0 23 15/19 -5/196 1 23 19/24 (-1/39,-3/118) 0 23 4/5 (-3/118,-2/79) 0 23 9/11 -1/40 1 23 19/23 -1/40 19 1 5/6 (-1/40,-5/201) 0 23 11/13 -9/364 1 23 6/7 (-3/122,-4/163) 0 23 13/15 -13/532 1 23 20/23 -1/41 20 1 7/8 (-1/41,-7/288) 0 23 8/9 (-7/290,-2/83) 0 23 9/10 (-3/125,-7/292) 0 23 1/1 -1/44 1 23 1/0 0/1 22 1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(160,-17,207,-22) (0/1,1/8) -> (17/22,24/31) Glide Reflection Matrix(47,-6,368,-47) (1/8,3/23) -> (1/8,3/23) Reflection Matrix(22,-3,161,-22) (3/23,1/7) -> (3/23,1/7) Reflection Matrix(114,-17,161,-24) (1/7,1/6) -> (12/17,5/7) Hyperbolic Matrix(68,-13,115,-22) (1/6,1/5) -> (10/17,3/5) Glide Reflection Matrix(24,-5,115,-24) (1/5,5/23) -> (1/5,5/23) Reflection Matrix(91,-20,414,-91) (5/23,2/9) -> (5/23,2/9) Reflection Matrix(254,-57,713,-160) (2/9,7/31) -> (11/31,5/14) Hyperbolic Matrix(415,-94,1426,-323) (7/31,5/22) -> (9/31,7/24) Glide Reflection Matrix(323,-74,598,-137) (5/22,3/13) -> (7/13,13/24) Hyperbolic Matrix(252,-59,299,-70) (3/13,4/17) -> (5/6,11/13) Hyperbolic Matrix(599,-142,966,-229) (4/17,1/4) -> (31/50,18/29) Hyperbolic Matrix(160,-43,253,-68) (1/4,3/11) -> (12/19,7/11) Glide Reflection Matrix(206,-57,253,-70) (3/11,5/18) -> (4/5,9/11) Hyperbolic Matrix(1632,-455,2231,-622) (5/18,12/43) -> (19/26,30/41) Hyperbolic Matrix(2138,-597,3703,-1034) (12/43,7/25) -> (15/26,41/71) Glide Reflection Matrix(252,-71,575,-162) (7/25,2/7) -> (7/16,11/25) Hyperbolic Matrix(277,-80,322,-93) (2/7,9/31) -> (6/7,13/15) Glide Reflection Matrix(321,-94,782,-229) (7/24,5/17) -> (9/22,7/17) Glide Reflection Matrix(300,-89,391,-116) (5/17,3/10) -> (13/17,10/13) Glide Reflection Matrix(139,-42,460,-139) (3/10,7/23) -> (3/10,7/23) Reflection Matrix(22,-7,69,-22) (7/23,1/3) -> (7/23,1/3) Reflection Matrix(47,-16,138,-47) (1/3,8/23) -> (1/3,8/23) Reflection Matrix(321,-112,920,-321) (8/23,7/20) -> (8/23,7/20) Reflection Matrix(507,-178,920,-323) (7/20,6/17) -> (11/20,16/29) Glide Reflection Matrix(1103,-390,1564,-553) (6/17,11/31) -> (43/61,12/17) Hyperbolic Matrix(254,-91,575,-206) (5/14,9/25) -> (11/25,4/9) Hyperbolic Matrix(668,-241,1081,-390) (9/25,4/11) -> (21/34,13/21) Hyperbolic Matrix(254,-93,437,-160) (4/11,7/19) -> (11/19,7/12) Hyperbolic Matrix(231,-86,368,-137) (7/19,3/8) -> (5/8,17/27) Hyperbolic Matrix(668,-253,1035,-392) (3/8,11/29) -> (20/31,11/17) Glide Reflection Matrix(737,-280,966,-367) (11/29,8/21) -> (16/21,13/17) Hyperbolic Matrix(160,-61,299,-114) (8/21,5/13) -> (1/2,7/13) Glide Reflection Matrix(116,-45,299,-116) (5/13,9/23) -> (5/13,9/23) Reflection Matrix(91,-36,230,-91) (9/23,2/5) -> (9/23,2/5) Reflection Matrix(183,-74,230,-93) (2/5,9/22) -> (19/24,4/5) Hyperbolic Matrix(323,-134,552,-229) (7/17,5/12) -> (7/12,17/29) Hyperbolic Matrix(116,-49,161,-68) (5/12,3/7) -> (5/7,8/11) Hyperbolic Matrix(139,-60,322,-139) (3/7,10/23) -> (3/7,10/23) Reflection Matrix(321,-140,736,-321) (10/23,7/16) -> (10/23,7/16) Reflection Matrix(162,-73,253,-114) (4/9,5/11) -> (7/11,9/14) Hyperbolic Matrix(461,-212,598,-275) (5/11,6/13) -> (10/13,27/35) Hyperbolic Matrix(367,-170,598,-277) (6/13,1/2) -> (27/44,8/13) Hyperbolic Matrix(1243,-674,1610,-873) (13/24,6/11) -> (44/57,17/22) Hyperbolic Matrix(369,-202,506,-277) (6/11,11/20) -> (8/11,19/26) Glide Reflection Matrix(829,-458,1334,-737) (16/29,5/9) -> (18/29,23/37) Glide Reflection Matrix(116,-65,207,-116) (5/9,13/23) -> (5/9,13/23) Reflection Matrix(183,-104,322,-183) (13/23,4/7) -> (13/23,4/7) Reflection Matrix(300,-173,437,-252) (4/7,15/26) -> (2/3,11/16) Hyperbolic Matrix(6602,-3813,11431,-6602) (41/71,93/161) -> (41/71,93/161) Reflection Matrix(8371,-4836,14490,-8371) (93/161,26/45) -> (93/161,26/45) Reflection Matrix(1036,-599,1311,-758) (26/45,11/19) -> (15/19,19/24) Hyperbolic Matrix(1565,-918,2668,-1565) (17/29,27/46) -> (17/29,27/46) Reflection Matrix(919,-540,1564,-919) (27/46,10/17) -> (27/46,10/17) Reflection Matrix(139,-84,230,-139) (3/5,14/23) -> (3/5,14/23) Reflection Matrix(505,-308,828,-505) (14/23,11/18) -> (14/23,11/18) Reflection Matrix(1128,-691,1541,-944) (11/18,19/31) -> (30/41,11/15) Glide Reflection Matrix(2853,-1750,4048,-2483) (19/31,27/44) -> (31/44,43/61) Hyperbolic Matrix(436,-269,483,-298) (8/13,29/47) -> (9/10,1/1) Glide Reflection Matrix(3336,-2059,5405,-3336) (29/47,71/115) -> (29/47,71/115) Reflection Matrix(4829,-2982,7820,-4829) (71/115,21/34) -> (71/115,21/34) Reflection Matrix(1013,-628,1334,-827) (13/21,31/50) -> (3/4,19/25) Hyperbolic Matrix(944,-587,1219,-758) (23/37,5/8) -> (24/31,7/9) Hyperbolic Matrix(1565,-986,2484,-1565) (17/27,29/46) -> (17/27,29/46) Reflection Matrix(1103,-696,1748,-1103) (29/46,12/19) -> (29/46,12/19) Reflection Matrix(346,-223,391,-252) (9/14,20/31) -> (7/8,8/9) Hyperbolic Matrix(254,-165,391,-254) (11/17,15/23) -> (11/17,15/23) Reflection Matrix(91,-60,138,-91) (15/23,2/3) -> (15/23,2/3) Reflection Matrix(254,-175,299,-206) (11/16,9/13) -> (11/13,6/7) Hyperbolic Matrix(415,-288,598,-415) (9/13,16/23) -> (9/13,16/23) Reflection Matrix(321,-224,460,-321) (16/23,7/10) -> (16/23,7/10) Reflection Matrix(852,-599,1081,-760) (7/10,19/27) -> (26/33,15/19) Glide Reflection Matrix(2186,-1539,3105,-2186) (19/27,81/115) -> (19/27,81/115) Reflection Matrix(7129,-5022,10120,-7129) (81/115,31/44) -> (81/115,31/44) Reflection Matrix(254,-187,345,-254) (11/15,17/23) -> (11/15,17/23) Reflection Matrix(137,-102,184,-137) (17/23,3/4) -> (17/23,3/4) Reflection Matrix(1749,-1330,2300,-1749) (19/25,35/46) -> (19/25,35/46) Reflection Matrix(1471,-1120,1932,-1471) (35/46,16/21) -> (35/46,16/21) Reflection Matrix(4969,-3834,6440,-4969) (27/35,71/92) -> (27/35,71/92) Reflection Matrix(8095,-6248,10488,-8095) (71/92,44/57) -> (71/92,44/57) Reflection Matrix(323,-252,414,-323) (7/9,18/23) -> (7/9,18/23) Reflection Matrix(505,-396,644,-505) (18/23,11/14) -> (18/23,11/14) Reflection Matrix(390,-307,437,-344) (11/14,26/33) -> (8/9,9/10) Glide Reflection Matrix(208,-171,253,-208) (9/11,19/23) -> (9/11,19/23) Reflection Matrix(229,-190,276,-229) (19/23,5/6) -> (19/23,5/6) Reflection Matrix(599,-520,690,-599) (13/15,20/23) -> (13/15,20/23) Reflection Matrix(321,-280,368,-321) (20/23,7/8) -> (20/23,7/8) Reflection Matrix(-1,2,0,1) (1/1,1/0) -> (1/1,1/0) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(-1,0,44,1) (0/1,1/0) -> (-1/22,0/1) Matrix(160,-17,207,-22) -> Matrix(27,1,-1052,-39) Matrix(47,-6,368,-47) -> Matrix(47,2,-1104,-47) (1/8,3/23) -> (-1/23,-1/24) Matrix(22,-3,161,-22) -> Matrix(25,1,-624,-25) (3/23,1/7) -> (-1/24,-1/26) Matrix(114,-17,161,-24) -> Matrix(27,1,-1000,-37) Matrix(68,-13,115,-22) -> Matrix(27,1,-944,-35) Matrix(24,-5,115,-24) -> Matrix(25,1,-624,-25) (1/5,5/23) -> (-1/24,-1/26) Matrix(91,-20,414,-91) -> Matrix(105,4,-2756,-105) (5/23,2/9) -> (-1/26,-2/53) Matrix(254,-57,713,-160) -> Matrix(79,3,-2344,-89) Matrix(415,-94,1426,-323) -> Matrix(55,2,-1512,-55) *** -> (-1/27,-1/28) Matrix(323,-74,598,-137) -> Matrix(53,2,-1776,-67) Matrix(252,-59,299,-70) -> Matrix(83,3,-3348,-121) Matrix(599,-142,966,-229) -> Matrix(57,2,-2024,-71) Matrix(160,-43,253,-68) -> Matrix(83,3,-2960,-107) Matrix(206,-57,253,-70) -> Matrix(85,3,-3372,-119) Matrix(1632,-455,2231,-622) -> Matrix(91,3,-3428,-113) Matrix(2138,-597,3703,-1034) -> Matrix(31,1,-1084,-35) Matrix(252,-71,575,-162) -> Matrix(33,1,-1024,-31) -1/32 Matrix(277,-80,322,-93) -> Matrix(107,4,-4360,-163) Matrix(321,-94,782,-229) -> Matrix(55,2,-1732,-63) Matrix(300,-89,391,-116) -> Matrix(137,5,-5288,-193) Matrix(139,-42,460,-139) -> Matrix(167,6,-4648,-167) (3/10,7/23) -> (-3/83,-1/28) Matrix(22,-7,69,-22) -> Matrix(29,1,-840,-29) (7/23,1/3) -> (-1/28,-1/30) Matrix(47,-16,138,-47) -> Matrix(57,2,-1624,-57) (1/3,8/23) -> (-1/28,-1/29) Matrix(321,-112,920,-321) -> Matrix(407,14,-11832,-407) (8/23,7/20) -> (-1/29,-7/204) Matrix(507,-178,920,-323) -> Matrix(175,6,-5804,-199) Matrix(1103,-390,1564,-553) -> Matrix(1,0,-8,1) 0/1 Matrix(254,-91,575,-206) -> Matrix(147,5,-4616,-157) Matrix(668,-241,1081,-390) -> Matrix(327,11,-11564,-389) Matrix(254,-93,437,-160) -> Matrix(29,1,-1016,-35) Matrix(231,-86,368,-137) -> Matrix(57,2,-2024,-71) Matrix(668,-253,1035,-392) -> Matrix(381,13,-13628,-465) Matrix(737,-280,966,-367) -> Matrix(353,12,-13620,-463) Matrix(160,-61,299,-114) -> Matrix(89,3,-2996,-101) Matrix(116,-45,299,-116) -> Matrix(149,5,-4440,-149) (5/13,9/23) -> (-5/148,-1/30) Matrix(91,-36,230,-91) -> Matrix(121,4,-3660,-121) (9/23,2/5) -> (-1/30,-2/61) Matrix(183,-74,230,-93) -> Matrix(123,4,-4828,-157) Matrix(323,-134,552,-229) -> Matrix(59,2,-2036,-69) Matrix(116,-49,161,-68) -> Matrix(91,3,-3428,-113) Matrix(139,-60,322,-139) -> Matrix(185,6,-5704,-185) (3/7,10/23) -> (-3/92,-1/31) Matrix(321,-140,736,-321) -> Matrix(435,14,-13516,-435) (10/23,7/16) -> (-1/31,-7/218) Matrix(162,-73,253,-114) -> Matrix(33,1,-1156,-35) -1/34 Matrix(461,-212,598,-275) -> Matrix(125,4,-4844,-155) Matrix(367,-170,598,-277) -> Matrix(123,4,-4336,-141) Matrix(1243,-674,1610,-873) -> Matrix(199,6,-7728,-233) Matrix(369,-202,506,-277) -> Matrix(135,4,-5096,-151) Matrix(829,-458,1334,-737) -> Matrix(133,4,-4688,-141) Matrix(116,-65,207,-116) -> Matrix(169,5,-5712,-169) (5/9,13/23) -> (-5/168,-1/34) Matrix(183,-104,322,-183) -> Matrix(273,8,-9316,-273) (13/23,4/7) -> (-1/34,-4/137) Matrix(300,-173,437,-252) -> Matrix(173,5,-6332,-183) Matrix(6602,-3813,11431,-6602) -> Matrix(103,3,-3536,-103) (41/71,93/161) -> (-1/34,-3/104) Matrix(8371,-4836,14490,-8371) -> Matrix(137,4,-4692,-137) (93/161,26/45) -> (-1/34,-2/69) Matrix(1036,-599,1311,-758) -> Matrix(241,7,-9468,-275) Matrix(1565,-918,2668,-1565) -> Matrix(689,20,-23736,-689) (17/29,27/46) -> (-5/172,-2/69) Matrix(919,-540,1564,-919) -> Matrix(415,12,-14352,-415) (27/46,10/17) -> (-2/69,-3/104) Matrix(139,-84,230,-139) -> Matrix(209,6,-7280,-209) (3/5,14/23) -> (-3/104,-1/35) Matrix(505,-308,828,-505) -> Matrix(771,22,-27020,-771) (14/23,11/18) -> (-1/35,-11/386) Matrix(1128,-691,1541,-944) -> Matrix(1019,29,-38476,-1095) Matrix(2853,-1750,4048,-2483) -> Matrix(985,28,-36832,-1047) Matrix(436,-269,483,-298) -> Matrix(459,13,-19172,-543) Matrix(3336,-2059,5405,-3336) -> Matrix(3073,87,-108544,-3073) (29/47,71/115) -> (-29/1024,-3/106) Matrix(4829,-2982,7820,-4829) -> Matrix(3605,102,-127412,-3605) (71/115,21/34) -> (-3/106,-17/601) Matrix(1013,-628,1334,-827) -> Matrix(427,12,-16404,-461) Matrix(944,-587,1219,-758) -> Matrix(249,7,-9640,-271) Matrix(1565,-986,2484,-1565) -> Matrix(993,28,-35216,-993) (17/27,29/46) -> (-7/248,-2/71) Matrix(1103,-696,1748,-1103) -> Matrix(711,20,-25276,-711) (29/46,12/19) -> (-2/71,-5/178) Matrix(346,-223,391,-252) -> Matrix(393,11,-16256,-455) Matrix(254,-165,391,-254) -> Matrix(395,11,-14184,-395) (11/17,15/23) -> (-11/394,-1/36) Matrix(91,-60,138,-91) -> Matrix(145,4,-5256,-145) (15/23,2/3) -> (-1/36,-2/73) Matrix(254,-175,299,-206) -> Matrix(331,9,-13424,-365) Matrix(415,-288,598,-415) -> Matrix(665,18,-24568,-665) (9/13,16/23) -> (-9/332,-1/37) Matrix(321,-224,460,-321) -> Matrix(519,14,-19240,-519) (16/23,7/10) -> (-1/37,-7/260) Matrix(852,-599,1081,-760) -> Matrix(857,23,-33572,-901) Matrix(2186,-1539,3105,-2186) -> Matrix(1231,33,-45920,-1231) (19/27,81/115) -> (-11/410,-3/112) Matrix(7129,-5022,10120,-7129) -> Matrix(2465,66,-92064,-2465) (81/115,31/44) -> (-3/112,-11/411) Matrix(254,-187,345,-254) -> Matrix(417,11,-15808,-417) (11/15,17/23) -> (-11/416,-1/38) Matrix(137,-102,184,-137) -> Matrix(229,6,-8740,-229) (17/23,3/4) -> (-1/38,-3/115) Matrix(1749,-1330,2300,-1749) -> Matrix(2001,52,-77000,-2001) (19/25,35/46) -> (-13/500,-2/77) Matrix(1471,-1120,1932,-1471) -> Matrix(1695,44,-65296,-1695) (35/46,16/21) -> (-2/77,-11/424) Matrix(4969,-3834,6440,-4969) -> Matrix(929,24,-35960,-929) (27/35,71/92) -> (-3/116,-4/155) Matrix(8095,-6248,10488,-8095) -> Matrix(1551,40,-60140,-1551) (71/92,44/57) -> (-4/155,-5/194) Matrix(323,-252,414,-323) -> Matrix(545,14,-21216,-545) (7/9,18/23) -> (-7/272,-1/39) Matrix(505,-396,644,-505) -> Matrix(859,22,-33540,-859) (18/23,11/14) -> (-1/39,-11/430) Matrix(390,-307,437,-344) -> Matrix(587,15,-24380,-623) Matrix(208,-171,253,-208) -> Matrix(359,9,-14320,-359) (9/11,19/23) -> (-9/358,-1/40) Matrix(229,-190,276,-229) -> Matrix(401,10,-16080,-401) (19/23,5/6) -> (-1/40,-5/201) Matrix(599,-520,690,-599) -> Matrix(1065,26,-43624,-1065) (13/15,20/23) -> (-13/532,-1/41) Matrix(321,-280,368,-321) -> Matrix(575,14,-23616,-575) (20/23,7/8) -> (-1/41,-7/288) Matrix(-1,2,0,1) -> Matrix(-1,0,88,1) (1/1,1/0) -> (-1/44,0/1) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.