INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1728 Minimal number of generators: 289 Number of equivalence classes of cusps: 96 Genus: 97 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -8/9 -5/6 -7/9 -3/4 -11/15 -2/3 -35/54 -16/27 -7/12 -5/9 -1/2 -11/24 -4/9 -7/16 -5/12 -55/144 -3/8 -1/3 -10/33 -3/10 -8/27 -19/72 -1/4 -2/9 -3/14 -4/21 -3/16 -3/17 -4/23 -1/6 -4/25 -4/27 -2/15 -1/8 -1/9 -1/10 -1/11 -1/12 0/1 1/9 1/8 2/15 1/7 2/13 1/6 2/11 3/16 4/21 1/5 4/19 3/14 2/9 8/35 3/13 4/17 1/4 29/108 8/29 5/18 2/7 8/27 10/33 11/36 17/54 1/3 13/36 3/8 41/108 23/60 12/31 7/18 2/5 5/12 7/16 4/9 11/24 1/2 5/9 7/12 16/27 11/18 67/108 23/36 2/3 25/36 181/252 13/18 79/108 11/15 3/4 7/9 22/27 5/6 8/9 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 1/0 -15/17 1/0 -7/8 -2/1 -13/15 -3/2 -19/22 -3/2 -6/7 -1/1 -1/2 -11/13 1/4 -5/6 1/0 -14/17 -2/1 1/0 -23/28 -2/1 -9/11 -7/4 -31/38 -3/2 -22/27 -3/2 -13/16 -1/1 -30/37 -3/2 -1/1 -17/21 -3/2 -21/26 -7/6 -4/5 -1/1 -1/2 -11/14 1/2 -29/37 1/0 -47/60 0/1 -65/83 1/0 -18/23 1/2 1/1 -25/32 2/1 -7/9 1/0 -31/40 -4/1 -24/31 -4/1 -7/2 -17/22 -5/2 -44/57 -2/1 -1/1 -27/35 1/0 -10/13 -5/2 -2/1 -13/17 1/0 -16/21 -2/1 -1/1 -3/4 -1/1 -20/27 -1/2 -17/23 -1/4 -14/19 -1/1 1/0 -25/34 -1/2 -61/83 1/0 -36/49 -1/1 -1/2 -11/15 -1/2 -30/41 -1/6 0/1 -79/108 0/1 -49/67 1/8 -19/26 1/2 -46/63 1/0 -27/37 1/0 -8/11 0/1 1/0 -13/18 1/0 -18/25 -3/1 1/0 -23/32 -2/1 -5/7 1/0 -12/17 -2/1 1/0 -31/44 -2/1 -19/27 -3/2 -26/37 -3/2 -1/1 -7/10 -3/2 -23/33 -7/6 -16/23 -15/14 -1/1 -25/36 -1/1 -9/13 -7/8 -20/29 -2/3 -1/2 -11/16 -1/1 -2/3 -1/1 0/1 -13/20 -1/1 -24/37 -1/1 -1/2 -35/54 -1/2 -11/17 1/0 -9/14 -3/2 -25/39 -7/6 -41/64 -8/7 -16/25 -13/12 -1/1 -23/36 -1/1 -7/11 -7/8 -26/41 -4/5 -11/14 -71/112 -4/5 -45/71 -3/4 -19/30 -3/4 -31/49 -5/8 -12/19 -1/1 -3/4 -17/27 -1/2 -22/35 -1/1 -1/2 -5/8 -1/1 -23/37 -3/4 -41/66 -3/4 -18/29 -7/10 -2/3 -67/108 -2/3 -49/79 -13/20 -31/50 -1/2 -44/71 -2/3 -1/2 -13/21 -1/2 -34/55 -3/4 -2/3 -21/34 -1/2 -8/13 -2/3 -1/2 -11/18 -1/2 -14/23 -1/2 -1/3 -31/51 -1/2 -17/28 0/1 -20/33 -1/1 0/1 -3/5 1/0 -22/37 -1/1 -1/2 -19/32 -1/1 -16/27 -1/2 -29/49 1/0 -42/71 -1/2 0/1 -13/22 -1/2 -10/17 -2/1 1/0 -17/29 1/0 -7/12 -1/1 -25/43 -7/8 -43/74 -5/6 -18/31 -5/6 -4/5 -29/50 -1/2 -11/19 -3/4 -4/7 -1/1 -1/2 -13/23 -11/16 -22/39 -2/3 -3/5 -9/16 -2/3 -23/41 -7/12 -37/66 -1/2 -14/25 -3/5 -7/12 -19/34 -1/2 -5/9 -1/2 -21/38 -1/2 -16/29 -1/2 -2/5 -11/20 -1/3 -6/11 0/1 1/0 -19/35 1/0 -13/24 -1/1 -7/13 -3/4 -8/15 -1/1 0/1 -1/2 -1/2 -6/13 -1/2 0/1 -17/37 1/0 -11/24 -1/1 -5/11 1/0 -4/9 -1/2 -11/25 -7/16 -18/41 -9/22 -2/5 -25/57 -1/2 -32/73 -1/2 -2/5 -7/16 -2/5 -17/39 -5/14 -10/23 -1/3 -3/10 -13/30 -1/2 -3/7 -1/4 -17/40 0/1 -31/73 -1/4 -14/33 -1/5 0/1 -11/26 -1/2 -19/45 -1/2 -8/19 -1/3 -1/4 -13/31 -1/4 -5/12 0/1 -17/41 1/4 -46/111 0/1 1/3 -75/181 1/4 -29/70 1/2 -12/29 0/1 1/2 -31/75 1/2 -19/46 3/2 -26/63 1/0 -7/17 1/0 -37/90 -1/2 -30/73 -1/2 0/1 -23/56 0/1 -16/39 -1/1 0/1 -9/22 1/2 -2/5 -1/1 -1/2 -7/18 -1/2 -12/31 -1/2 -6/13 -41/106 -1/2 -29/75 -1/2 -17/44 -4/9 -5/13 -5/12 -28/73 -1/2 -2/5 -23/60 -2/5 -18/47 -3/8 -1/3 -13/34 -1/2 -34/89 -5/12 -2/5 -55/144 -2/5 -21/55 -3/8 -8/21 -2/5 -1/3 -27/71 -3/8 -19/50 -5/14 -30/79 -9/26 -1/3 -41/108 -1/3 -11/29 -1/4 -25/66 -1/2 -39/103 -1/4 -14/37 -1/2 -1/3 -3/8 -1/3 -13/35 -1/4 -10/27 -1/4 -7/19 -1/4 -4/11 -1/8 0/1 -13/36 0/1 -9/25 1/12 -23/64 0/1 -14/39 0/1 1/5 -5/14 1/2 -6/17 2/1 1/0 -19/54 1/0 -13/37 1/0 -7/20 -2/1 -1/3 -1/2 -6/19 -3/11 -1/4 -17/54 -1/4 -11/35 -1/4 -5/16 -1/5 -4/13 -1/10 0/1 -11/36 0/1 -7/23 1/12 -10/33 0/1 1/5 -3/10 1/2 -14/47 1/1 1/0 -25/84 2/1 -11/37 1/0 -8/27 1/0 -5/17 1/0 -2/7 -1/1 -1/2 -5/18 -1/2 -8/29 -1/2 -4/9 -19/69 -1/2 -49/178 -1/2 -79/287 -7/16 -109/396 -3/7 -30/109 -1/2 -3/7 -11/40 -3/7 -14/51 -3/7 -2/5 -3/11 -3/8 -13/48 -1/3 -10/37 -1/2 -1/3 -7/26 -1/2 -18/67 -9/26 -1/3 -29/108 -1/3 -11/41 -5/16 -15/56 -2/7 -19/71 -1/4 -4/15 -1/3 0/1 -9/34 -1/2 -14/53 -3/8 -1/3 -19/72 -1/3 -5/19 -1/4 -6/23 -1/3 -3/10 -1/4 0/1 -6/25 -1/1 1/0 -11/46 -3/2 -5/21 -1/2 -4/17 0/1 1/0 -7/30 1/0 -10/43 -2/1 -3/2 -3/13 -3/4 -2/9 -1/2 -5/23 -1/4 -13/60 -1/3 -8/37 -1/2 -1/3 -11/51 -1/2 -3/14 -1/2 -7/33 -3/10 -4/19 -1/4 -1/5 -1/5 -1/4 -5/26 1/2 -9/47 1/4 -4/21 0/1 1/1 -7/37 1/0 -3/16 -1/1 -2/11 -1/4 0/1 -3/17 1/0 -4/23 -3/2 -1/1 -1/6 -1/2 -4/25 -3/8 -1/3 -7/44 -2/7 -3/19 -1/4 -2/13 -1/6 0/1 -3/20 -1/1 -4/27 -1/2 -5/34 -1/2 -1/7 -1/4 -3/22 1/2 -2/15 -1/1 0/1 -3/23 -3/4 -1/8 0/1 -1/9 -1/2 -1/10 -1/2 -1/11 -1/4 -1/12 0/1 0/1 -1/2 0/1 1/9 -1/2 1/8 0/1 2/15 -1/3 0/1 3/22 -1/6 1/7 1/0 2/13 0/1 1/2 1/6 -1/2 2/11 0/1 1/0 3/16 -1/3 7/37 -1/4 4/21 -1/5 0/1 5/26 -1/6 1/5 1/0 4/19 1/1 1/0 7/33 -3/2 3/14 -1/2 2/9 -1/2 5/22 -1/2 13/57 -1/2 8/35 -1/2 -1/3 3/13 -3/8 4/17 -1/4 0/1 5/21 -1/2 1/4 0/1 6/23 -3/2 -1/1 5/19 1/0 9/34 -1/2 4/15 -1/1 0/1 11/41 -5/4 29/108 -1/1 18/67 -1/1 -9/10 7/26 -1/2 10/37 -1/1 -1/2 3/11 -3/4 11/40 -3/5 30/109 -3/5 -1/2 19/69 -1/2 8/29 -4/7 -1/2 5/18 -1/2 2/7 -1/2 -1/3 5/17 -1/4 8/27 -1/4 11/37 -1/4 14/47 -1/4 -1/5 3/10 -1/6 10/33 -1/9 0/1 7/23 -1/16 11/36 0/1 4/13 0/1 1/6 9/29 1/4 5/16 1/1 11/35 1/0 17/54 1/0 6/19 -3/1 1/0 1/3 -1/2 7/20 -2/7 13/37 -1/4 19/54 -1/4 6/17 -1/4 -2/9 5/14 -1/6 14/39 -1/9 0/1 9/25 -1/16 13/36 0/1 4/11 0/1 1/4 11/30 1/2 18/49 1/1 3/2 7/19 1/0 10/27 1/0 13/35 1/0 3/8 -1/1 14/37 -1/1 -1/2 11/29 1/0 41/108 -1/1 30/79 -1/1 -9/10 19/50 -5/6 8/21 -1/1 -2/3 21/55 -3/4 13/34 -1/2 18/47 -1/1 -3/4 23/60 -2/3 28/73 -2/3 -1/2 5/13 -5/8 17/44 -4/7 29/75 -1/2 12/31 -6/11 -1/2 7/18 -1/2 2/5 -1/2 -1/3 7/17 -1/4 26/63 -1/4 19/46 -3/14 12/29 -1/6 0/1 5/12 0/1 18/43 0/1 1/2 31/74 1/2 13/31 1/0 8/19 -1/1 1/0 11/26 -1/2 14/33 0/1 1/1 3/7 1/0 16/37 -1/1 -1/2 13/30 -1/2 10/23 -3/2 -1/1 17/39 -5/6 7/16 -2/3 4/9 -1/2 9/20 -2/5 14/31 -2/5 -7/18 5/11 -1/4 16/35 -1/2 -1/3 11/24 -1/3 6/13 -1/2 0/1 1/2 -1/2 8/15 -1/3 0/1 15/28 0/1 7/13 -3/8 20/37 -1/2 -1/3 13/24 -1/3 6/11 -1/4 0/1 11/20 -1/1 16/29 -2/3 -1/2 5/9 -1/2 24/43 -1/2 -4/9 19/34 -1/2 14/25 -7/16 -3/7 37/66 -1/2 60/107 -1/2 -3/7 23/41 -7/16 32/57 -3/7 -8/19 9/16 -2/5 22/39 -3/7 -2/5 13/23 -11/28 4/7 -1/2 -1/3 11/19 -3/8 18/31 -4/11 -5/14 7/12 -1/3 10/17 -2/7 -1/4 13/22 -1/2 29/49 -1/4 16/27 -1/2 19/32 -1/3 22/37 -1/2 -1/3 3/5 -1/4 23/38 -1/2 20/33 -1/3 0/1 17/28 0/1 14/23 -1/1 -1/2 11/18 -1/2 8/13 -1/2 -2/5 21/34 -1/2 55/89 -5/12 89/144 -2/5 34/55 -2/5 -3/8 13/21 -1/2 44/71 -1/2 -2/5 75/121 -5/12 31/50 -1/2 49/79 -13/32 67/108 -2/5 18/29 -2/5 -7/18 41/66 -3/8 23/37 -3/8 5/8 -1/3 22/35 -1/2 -1/3 17/27 -1/2 46/73 -1/2 -2/5 75/119 -3/8 29/46 -1/2 12/19 -3/8 -1/3 19/30 -3/8 45/71 -3/8 26/41 -11/30 -4/11 7/11 -7/20 23/36 -1/3 16/25 -1/3 -13/40 41/64 -8/25 25/39 -7/22 9/14 -3/10 20/31 -1/2 0/1 11/17 -1/4 2/3 -1/3 0/1 13/19 -1/4 37/54 -1/2 24/35 -1/2 -1/3 11/16 -1/3 20/29 -1/2 -2/5 9/13 -7/20 25/36 -1/3 16/23 -1/3 -15/46 23/33 -7/22 30/43 -7/22 -6/19 7/10 -3/10 26/37 -1/3 -3/10 19/27 -3/10 31/44 -2/7 12/17 -2/7 -1/4 17/24 -1/3 22/31 -4/13 -3/10 49/69 -3/10 76/107 -1/3 -3/10 27/38 -3/10 5/7 -1/4 28/39 -2/7 -3/11 79/110 -5/18 130/181 -5/18 -3/11 181/252 -3/11 51/71 -1/4 23/32 -2/7 41/57 -5/18 18/25 -3/11 -1/4 13/18 -1/4 8/11 -1/4 0/1 35/48 -1/3 27/37 -1/4 19/26 -1/6 49/67 -1/12 79/108 0/1 30/41 0/1 1/2 41/56 0/1 52/71 -1/2 0/1 11/15 -1/2 36/49 -1/2 -1/3 25/34 -1/2 39/53 -3/8 53/72 -1/3 14/19 -1/3 -1/4 17/23 1/0 20/27 -1/2 3/4 -1/3 19/25 -7/24 35/46 -3/10 16/21 -1/3 -2/7 13/17 -1/4 36/47 -1/3 -5/16 23/30 -3/10 10/13 -2/7 -5/18 37/48 -3/11 27/35 -1/4 71/92 0/1 44/57 -1/3 -2/7 17/22 -5/18 24/31 -7/26 -4/15 7/9 -1/4 32/41 -5/22 -2/9 57/73 -1/4 25/32 -2/9 18/23 -1/5 -1/6 65/83 -1/4 112/143 -1/6 0/1 47/60 0/1 76/97 -1/3 -1/4 29/37 -1/4 40/51 -2/9 -1/5 11/14 -1/6 26/33 -1/3 0/1 41/52 0/1 56/71 -1/2 0/1 71/90 -1/2 15/19 -1/4 4/5 -1/2 -1/3 21/26 -7/22 38/47 -1/3 -5/16 17/21 -3/10 30/37 -1/3 -3/10 13/16 -1/3 35/43 -11/36 22/27 -3/10 53/65 -13/44 31/38 -3/10 40/49 -3/10 -5/17 9/11 -7/24 32/39 -2/7 -7/25 23/28 -2/7 14/17 -2/7 -1/4 19/23 -11/40 24/29 -7/26 -4/15 5/6 -1/4 16/19 -1/4 -1/5 11/13 -1/8 6/7 -1/2 -1/3 19/22 -3/10 13/15 -3/10 20/23 -1/3 -3/10 7/8 -2/7 22/25 -3/11 -13/48 15/17 -1/4 8/9 -1/4 9/10 -1/6 1/1 -1/4 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(289,262,-396,-359) (-1/1,-8/9) -> (-46/63,-27/37) Hyperbolic Matrix(505,446,1224,1081) (-8/9,-15/17) -> (7/17,26/63) Hyperbolic Matrix(143,126,-900,-793) (-15/17,-7/8) -> (-7/44,-3/19) Hyperbolic Matrix(503,438,-828,-721) (-7/8,-13/15) -> (-31/51,-17/28) Hyperbolic Matrix(361,312,1584,1369) (-13/15,-19/22) -> (5/22,13/57) Hyperbolic Matrix(793,684,2088,1801) (-19/22,-6/7) -> (30/79,19/50) Hyperbolic Matrix(143,122,252,215) (-6/7,-11/13) -> (13/23,4/7) Hyperbolic Matrix(433,364,-684,-575) (-11/13,-5/6) -> (-19/30,-31/49) Hyperbolic Matrix(143,118,-612,-505) (-5/6,-14/17) -> (-4/17,-7/30) Hyperbolic Matrix(863,710,1224,1007) (-14/17,-23/28) -> (31/44,12/17) Hyperbolic Matrix(505,414,-1404,-1151) (-23/28,-9/11) -> (-9/25,-23/64) Hyperbolic Matrix(2593,2116,-3528,-2879) (-9/11,-31/38) -> (-25/34,-61/83) Hyperbolic Matrix(287,234,-1944,-1585) (-31/38,-22/27) -> (-4/27,-5/34) Hyperbolic Matrix(145,118,-972,-791) (-22/27,-13/16) -> (-3/20,-4/27) Hyperbolic Matrix(791,642,1152,935) (-13/16,-30/37) -> (24/35,11/16) Hyperbolic Matrix(649,526,2844,2305) (-30/37,-17/21) -> (13/57,8/35) Hyperbolic Matrix(361,292,-1512,-1223) (-17/21,-21/26) -> (-11/46,-5/21) Hyperbolic Matrix(503,406,1872,1511) (-21/26,-4/5) -> (18/67,7/26) Hyperbolic Matrix(73,58,-180,-143) (-4/5,-11/14) -> (-9/22,-2/5) Hyperbolic Matrix(1081,848,-2844,-2231) (-11/14,-29/37) -> (-27/71,-19/50) Hyperbolic Matrix(1585,1242,-5328,-4175) (-29/37,-47/60) -> (-25/84,-11/37) Hyperbolic Matrix(143,112,-1656,-1297) (-47/60,-65/83) -> (-1/11,-1/12) Hyperbolic Matrix(3527,2762,4320,3383) (-65/83,-18/23) -> (40/49,9/11) Hyperbolic Matrix(215,168,828,647) (-18/23,-25/32) -> (1/4,6/23) Hyperbolic Matrix(503,392,-648,-505) (-25/32,-7/9) -> (-7/9,-31/40) Parabolic Matrix(3241,2510,-5112,-3959) (-31/40,-24/31) -> (-26/41,-71/112) Hyperbolic Matrix(719,556,1116,863) (-24/31,-17/22) -> (9/14,20/31) Hyperbolic Matrix(215,166,1584,1223) (-17/22,-44/57) -> (2/15,3/22) Hyperbolic Matrix(1223,944,-4572,-3529) (-44/57,-27/35) -> (-19/71,-4/15) Hyperbolic Matrix(431,332,-936,-721) (-27/35,-10/13) -> (-6/13,-17/37) Hyperbolic Matrix(73,56,-468,-359) (-10/13,-13/17) -> (-3/19,-2/13) Hyperbolic Matrix(577,440,1512,1153) (-13/17,-16/21) -> (8/21,21/55) Hyperbolic Matrix(287,218,-1044,-793) (-16/21,-3/4) -> (-11/40,-14/51) Hyperbolic Matrix(577,428,972,721) (-3/4,-20/27) -> (16/27,19/32) Hyperbolic Matrix(1151,852,1944,1439) (-20/27,-17/23) -> (29/49,16/27) Hyperbolic Matrix(577,426,684,505) (-17/23,-14/19) -> (16/19,11/13) Hyperbolic Matrix(647,476,-2448,-1801) (-14/19,-25/34) -> (-9/34,-14/53) Hyperbolic Matrix(4679,3438,5976,4391) (-61/83,-36/49) -> (18/23,65/83) Hyperbolic Matrix(937,688,1080,793) (-36/49,-11/15) -> (13/15,20/23) Hyperbolic Matrix(1295,948,-2952,-2161) (-11/15,-30/41) -> (-18/41,-25/57) Hyperbolic Matrix(6479,4740,8856,6479) (-30/41,-79/108) -> (79/108,30/41) Hyperbolic Matrix(10585,7742,14472,10585) (-79/108,-49/67) -> (49/67,79/108) Hyperbolic Matrix(361,264,1872,1369) (-49/67,-19/26) -> (5/26,1/5) Hyperbolic Matrix(1873,1368,4536,3313) (-19/26,-46/63) -> (26/63,19/46) Hyperbolic Matrix(431,314,-792,-577) (-27/37,-8/11) -> (-6/11,-19/35) Hyperbolic Matrix(287,208,396,287) (-8/11,-13/18) -> (13/18,8/11) Hyperbolic Matrix(649,468,900,649) (-13/18,-18/25) -> (18/25,13/18) Hyperbolic Matrix(217,156,-900,-647) (-18/25,-23/32) -> (-1/4,-6/25) Hyperbolic Matrix(215,154,-504,-361) (-23/32,-5/7) -> (-3/7,-17/40) Hyperbolic Matrix(359,254,-612,-433) (-5/7,-12/17) -> (-10/17,-17/29) Hyperbolic Matrix(1007,710,1224,863) (-12/17,-31/44) -> (23/28,14/17) Hyperbolic Matrix(71,50,612,431) (-31/44,-19/27) -> (1/9,1/8) Hyperbolic Matrix(1223,860,1944,1367) (-19/27,-26/37) -> (22/35,17/27) Hyperbolic Matrix(359,252,1332,935) (-26/37,-7/10) -> (7/26,10/37) Hyperbolic Matrix(937,654,-2268,-1583) (-7/10,-23/33) -> (-31/75,-19/46) Hyperbolic Matrix(721,502,1656,1153) (-23/33,-16/23) -> (10/23,17/39) Hyperbolic Matrix(1151,800,1656,1151) (-16/23,-25/36) -> (25/36,16/23) Hyperbolic Matrix(649,450,936,649) (-25/36,-9/13) -> (9/13,25/36) Hyperbolic Matrix(217,150,-936,-647) (-9/13,-20/29) -> (-10/43,-3/13) Hyperbolic Matrix(575,396,1044,719) (-20/29,-11/16) -> (11/20,16/29) Hyperbolic Matrix(71,48,-108,-73) (-11/16,-2/3) -> (-2/3,-13/20) Parabolic Matrix(1081,702,1332,865) (-13/20,-24/37) -> (30/37,13/16) Hyperbolic Matrix(2665,1728,3888,2521) (-24/37,-35/54) -> (37/54,24/35) Hyperbolic Matrix(1007,652,-2448,-1585) (-35/54,-11/17) -> (-7/17,-37/90) Hyperbolic Matrix(647,418,-1116,-721) (-11/17,-9/14) -> (-29/50,-11/19) Hyperbolic Matrix(215,138,1008,647) (-9/14,-25/39) -> (7/33,3/14) Hyperbolic Matrix(2519,1614,6516,4175) (-25/39,-41/64) -> (17/44,29/75) Hyperbolic Matrix(431,276,-2700,-1729) (-41/64,-16/25) -> (-4/25,-7/44) Hyperbolic Matrix(1151,736,1800,1151) (-16/25,-23/36) -> (23/36,16/25) Hyperbolic Matrix(505,322,792,505) (-23/36,-7/11) -> (7/11,23/36) Hyperbolic Matrix(359,228,792,503) (-7/11,-26/41) -> (14/31,5/11) Hyperbolic Matrix(7345,4656,10224,6481) (-71/112,-45/71) -> (51/71,23/32) Hyperbolic Matrix(3601,2282,5796,3673) (-45/71,-19/30) -> (41/66,23/37) Hyperbolic Matrix(1009,638,1368,865) (-31/49,-12/19) -> (14/19,17/23) Hyperbolic Matrix(577,364,-1368,-863) (-12/19,-17/27) -> (-19/45,-8/19) Hyperbolic Matrix(1367,860,1944,1223) (-17/27,-22/35) -> (26/37,19/27) Hyperbolic Matrix(217,136,576,361) (-22/35,-5/8) -> (3/8,14/37) Hyperbolic Matrix(215,134,576,359) (-5/8,-23/37) -> (13/35,3/8) Hyperbolic Matrix(3673,2282,5796,3601) (-23/37,-41/66) -> (19/30,45/71) Hyperbolic Matrix(1729,1074,2088,1297) (-41/66,-18/29) -> (24/29,5/6) Hyperbolic Matrix(3887,2412,6264,3887) (-18/29,-67/108) -> (67/108,18/29) Hyperbolic Matrix(10585,6566,17064,10585) (-67/108,-49/79) -> (49/79,67/108) Hyperbolic Matrix(287,178,2088,1295) (-49/79,-31/50) -> (3/22,1/7) Hyperbolic Matrix(3023,1874,-5112,-3169) (-31/50,-44/71) -> (-42/71,-13/22) Hyperbolic Matrix(2447,1516,-5580,-3457) (-44/71,-13/21) -> (-25/57,-32/73) Hyperbolic Matrix(359,222,1512,935) (-13/21,-34/55) -> (4/17,5/21) Hyperbolic Matrix(1871,1156,-4896,-3025) (-34/55,-21/34) -> (-13/34,-34/89) Hyperbolic Matrix(217,134,468,289) (-21/34,-8/13) -> (6/13,1/2) Hyperbolic Matrix(287,176,468,287) (-8/13,-11/18) -> (11/18,8/13) Hyperbolic Matrix(505,308,828,505) (-11/18,-14/23) -> (14/23,11/18) Hyperbolic Matrix(2089,1270,2844,1729) (-14/23,-31/51) -> (11/15,36/49) Hyperbolic Matrix(1655,1004,2016,1223) (-17/28,-20/33) -> (32/39,23/28) Hyperbolic Matrix(791,478,-1908,-1153) (-20/33,-3/5) -> (-17/41,-46/111) Hyperbolic Matrix(1151,686,2052,1223) (-3/5,-22/37) -> (60/107,23/41) Hyperbolic Matrix(1367,812,4968,2951) (-22/37,-19/32) -> (11/40,30/109) Hyperbolic Matrix(721,428,972,577) (-19/32,-16/27) -> (20/27,3/4) Hyperbolic Matrix(1439,852,1944,1151) (-16/27,-29/49) -> (17/23,20/27) Hyperbolic Matrix(1727,1022,4500,2663) (-29/49,-42/71) -> (28/73,5/13) Hyperbolic Matrix(217,128,612,361) (-13/22,-10/17) -> (6/17,5/14) Hyperbolic Matrix(503,294,-864,-505) (-17/29,-7/12) -> (-7/12,-25/43) Parabolic Matrix(289,168,-1980,-1151) (-25/43,-43/74) -> (-5/34,-1/7) Hyperbolic Matrix(2159,1254,-5580,-3241) (-43/74,-18/31) -> (-12/31,-41/106) Hyperbolic Matrix(1727,1002,2232,1295) (-18/31,-29/50) -> (17/22,24/31) Hyperbolic Matrix(73,42,252,145) (-11/19,-4/7) -> (2/7,5/17) Hyperbolic Matrix(215,122,252,143) (-4/7,-13/23) -> (11/13,6/7) Hyperbolic Matrix(503,284,1656,935) (-13/23,-22/39) -> (10/33,7/23) Hyperbolic Matrix(1153,650,-2808,-1583) (-22/39,-9/16) -> (-23/56,-16/39) Hyperbolic Matrix(791,444,-2952,-1657) (-9/16,-23/41) -> (-11/41,-15/56) Hyperbolic Matrix(3599,2018,-9504,-5329) (-23/41,-37/66) -> (-25/66,-39/103) Hyperbolic Matrix(2951,1654,3852,2159) (-37/66,-14/25) -> (36/47,23/30) Hyperbolic Matrix(937,524,2448,1369) (-14/25,-19/34) -> (13/34,18/47) Hyperbolic Matrix(359,200,-648,-361) (-19/34,-5/9) -> (-5/9,-21/38) Parabolic Matrix(1583,874,3780,2087) (-21/38,-16/29) -> (18/43,31/74) Hyperbolic Matrix(719,396,1044,575) (-16/29,-11/20) -> (11/16,20/29) Hyperbolic Matrix(73,40,396,217) (-11/20,-6/11) -> (2/11,3/16) Hyperbolic Matrix(1943,1054,2520,1367) (-19/35,-13/24) -> (37/48,27/35) Hyperbolic Matrix(289,156,-1332,-719) (-13/24,-7/13) -> (-5/23,-13/60) Hyperbolic Matrix(71,38,-540,-289) (-7/13,-8/15) -> (-2/15,-3/23) Hyperbolic Matrix(143,76,540,287) (-8/15,-1/2) -> (9/34,4/15) Hyperbolic Matrix(289,134,468,217) (-1/2,-6/13) -> (8/13,21/34) Hyperbolic Matrix(1943,892,2664,1223) (-17/37,-11/24) -> (35/48,27/37) Hyperbolic Matrix(215,98,-792,-361) (-11/24,-5/11) -> (-3/11,-13/48) Hyperbolic Matrix(143,64,-324,-145) (-5/11,-4/9) -> (-4/9,-11/25) Parabolic Matrix(937,412,1476,649) (-11/25,-18/41) -> (26/41,7/11) Hyperbolic Matrix(3889,1704,4932,2161) (-32/73,-7/16) -> (41/52,56/71) Hyperbolic Matrix(289,126,828,361) (-7/16,-17/39) -> (1/3,7/20) Hyperbolic Matrix(1153,502,1656,721) (-17/39,-10/23) -> (16/23,23/33) Hyperbolic Matrix(793,344,2160,937) (-10/23,-13/30) -> (11/30,18/49) Hyperbolic Matrix(505,218,-1332,-575) (-13/30,-3/7) -> (-11/29,-25/66) Hyperbolic Matrix(4105,1744,5256,2233) (-17/40,-31/73) -> (57/73,25/32) Hyperbolic Matrix(5833,2476,-14076,-5975) (-31/73,-14/33) -> (-46/111,-75/181) Hyperbolic Matrix(359,152,1188,503) (-14/33,-11/26) -> (3/10,10/33) Hyperbolic Matrix(71,30,-684,-289) (-11/26,-19/45) -> (-1/9,-1/10) Hyperbolic Matrix(143,60,684,287) (-8/19,-13/31) -> (1/5,4/19) Hyperbolic Matrix(359,150,-864,-361) (-13/31,-5/12) -> (-5/12,-17/41) Parabolic Matrix(14399,5966,-52308,-21673) (-75/181,-29/70) -> (-49/178,-79/287) Hyperbolic Matrix(2231,924,3996,1655) (-29/70,-12/29) -> (24/43,19/34) Hyperbolic Matrix(1151,476,4176,1727) (-12/29,-31/75) -> (19/69,8/29) Hyperbolic Matrix(935,386,1044,431) (-19/46,-26/63) -> (8/9,9/10) Hyperbolic Matrix(1081,446,1224,505) (-26/63,-7/17) -> (15/17,8/9) Hyperbolic Matrix(10223,4202,12960,5327) (-37/90,-30/73) -> (56/71,71/90) Hyperbolic Matrix(5905,2426,8064,3313) (-30/73,-23/56) -> (41/56,52/71) Hyperbolic Matrix(503,206,1404,575) (-16/39,-9/22) -> (5/14,14/39) Hyperbolic Matrix(71,28,180,71) (-2/5,-7/18) -> (7/18,2/5) Hyperbolic Matrix(433,168,1116,433) (-7/18,-12/31) -> (12/31,7/18) Hyperbolic Matrix(5689,2200,-20664,-7991) (-41/106,-29/75) -> (-19/69,-49/178) Hyperbolic Matrix(4175,1614,6516,2519) (-29/75,-17/44) -> (41/64,25/39) Hyperbolic Matrix(145,56,-1116,-431) (-17/44,-5/13) -> (-3/23,-1/8) Hyperbolic Matrix(6047,2320,9756,3743) (-5/13,-28/73) -> (44/71,75/121) Hyperbolic Matrix(73,28,-936,-359) (-28/73,-23/60) -> (-1/12,0/1) Hyperbolic Matrix(2015,772,-6768,-2593) (-23/60,-18/47) -> (-14/47,-25/84) Hyperbolic Matrix(1369,524,2448,937) (-18/47,-13/34) -> (19/34,14/25) Hyperbolic Matrix(12817,4896,20736,7921) (-34/89,-55/144) -> (89/144,34/55) Hyperbolic Matrix(12815,4894,20736,7919) (-55/144,-21/55) -> (55/89,89/144) Hyperbolic Matrix(1153,440,1512,577) (-21/55,-8/21) -> (16/21,13/17) Hyperbolic Matrix(431,164,2268,863) (-8/21,-27/71) -> (7/37,4/21) Hyperbolic Matrix(1801,684,2088,793) (-19/50,-30/79) -> (6/7,19/22) Hyperbolic Matrix(6479,2460,17064,6479) (-30/79,-41/108) -> (41/108,30/79) Hyperbolic Matrix(2377,902,6264,2377) (-41/108,-11/29) -> (11/29,41/108) Hyperbolic Matrix(2377,900,3996,1513) (-39/103,-14/37) -> (22/37,3/5) Hyperbolic Matrix(361,136,576,217) (-14/37,-3/8) -> (5/8,22/35) Hyperbolic Matrix(359,134,576,215) (-3/8,-13/35) -> (23/37,5/8) Hyperbolic Matrix(577,214,1944,721) (-13/35,-10/27) -> (8/27,11/37) Hyperbolic Matrix(287,106,972,359) (-10/27,-7/19) -> (5/17,8/27) Hyperbolic Matrix(71,26,-396,-145) (-7/19,-4/11) -> (-2/11,-3/17) Hyperbolic Matrix(287,104,792,287) (-4/11,-13/36) -> (13/36,4/11) Hyperbolic Matrix(649,234,1800,649) (-13/36,-9/25) -> (9/25,13/36) Hyperbolic Matrix(1943,698,3204,1151) (-23/64,-14/39) -> (20/33,17/28) Hyperbolic Matrix(793,284,1008,361) (-14/39,-5/14) -> (11/14,26/33) Hyperbolic Matrix(361,128,612,217) (-5/14,-6/17) -> (10/17,13/22) Hyperbolic Matrix(647,228,1836,647) (-6/17,-19/54) -> (19/54,6/17) Hyperbolic Matrix(1223,430,3888,1367) (-19/54,-13/37) -> (11/35,17/54) Hyperbolic Matrix(935,328,-3492,-1225) (-13/37,-7/20) -> (-15/56,-19/71) Hyperbolic Matrix(361,126,828,289) (-7/20,-1/3) -> (17/39,7/16) Hyperbolic Matrix(145,46,684,217) (-1/3,-6/19) -> (4/19,7/33) Hyperbolic Matrix(647,204,2052,647) (-6/19,-17/54) -> (17/54,6/19) Hyperbolic Matrix(1367,430,3888,1223) (-17/54,-11/35) -> (13/37,19/54) Hyperbolic Matrix(217,68,1152,361) (-11/35,-5/16) -> (3/16,7/37) Hyperbolic Matrix(71,22,-468,-145) (-5/16,-4/13) -> (-2/13,-3/20) Hyperbolic Matrix(287,88,936,287) (-4/13,-11/36) -> (11/36,4/13) Hyperbolic Matrix(505,154,1656,505) (-11/36,-7/23) -> (7/23,11/36) Hyperbolic Matrix(935,284,1656,503) (-7/23,-10/33) -> (22/39,13/23) Hyperbolic Matrix(503,152,1188,359) (-10/33,-3/10) -> (11/26,14/33) Hyperbolic Matrix(577,172,-2412,-719) (-3/10,-14/47) -> (-6/25,-11/46) Hyperbolic Matrix(721,214,1944,577) (-11/37,-8/27) -> (10/27,13/35) Hyperbolic Matrix(359,106,972,287) (-8/27,-5/17) -> (7/19,10/27) Hyperbolic Matrix(145,42,252,73) (-5/17,-2/7) -> (4/7,11/19) Hyperbolic Matrix(71,20,252,71) (-2/7,-5/18) -> (5/18,2/7) Hyperbolic Matrix(289,80,1044,289) (-5/18,-8/29) -> (8/29,5/18) Hyperbolic Matrix(2737,754,3924,1081) (-8/29,-19/69) -> (23/33,30/43) Hyperbolic Matrix(72143,19858,100440,27647) (-79/287,-109/396) -> (181/252,51/71) Hyperbolic Matrix(71209,19600,99144,27289) (-109/396,-30/109) -> (130/181,181/252) Hyperbolic Matrix(2951,812,4968,1367) (-30/109,-11/40) -> (19/32,22/37) Hyperbolic Matrix(503,138,-2628,-721) (-14/51,-3/11) -> (-9/47,-4/21) Hyperbolic Matrix(1441,390,2664,721) (-13/48,-10/37) -> (20/37,13/24) Hyperbolic Matrix(935,252,1332,359) (-10/37,-7/26) -> (7/10,26/37) Hyperbolic Matrix(1511,406,1872,503) (-7/26,-18/67) -> (4/5,21/26) Hyperbolic Matrix(3887,1044,14472,3887) (-18/67,-29/108) -> (29/108,18/67) Hyperbolic Matrix(2377,638,8856,2377) (-29/108,-11/41) -> (11/41,29/108) Hyperbolic Matrix(287,76,540,143) (-4/15,-9/34) -> (1/2,8/15) Hyperbolic Matrix(3817,1008,5184,1369) (-14/53,-19/72) -> (53/72,14/19) Hyperbolic Matrix(3815,1006,5184,1367) (-19/72,-5/19) -> (39/53,53/72) Hyperbolic Matrix(503,132,1368,359) (-5/19,-6/23) -> (18/49,7/19) Hyperbolic Matrix(647,168,828,215) (-6/23,-1/4) -> (25/32,18/23) Hyperbolic Matrix(935,222,1512,359) (-5/21,-4/17) -> (34/55,13/21) Hyperbolic Matrix(2303,536,3708,863) (-7/30,-10/43) -> (18/29,41/66) Hyperbolic Matrix(71,16,-324,-73) (-3/13,-2/9) -> (-2/9,-5/23) Parabolic Matrix(1367,296,2988,647) (-13/60,-8/37) -> (16/35,11/24) Hyperbolic Matrix(2159,466,2664,575) (-8/37,-11/51) -> (17/21,30/37) Hyperbolic Matrix(1151,248,1332,287) (-11/51,-3/14) -> (19/22,13/15) Hyperbolic Matrix(647,138,1008,215) (-3/14,-7/33) -> (25/39,9/14) Hyperbolic Matrix(217,46,684,145) (-7/33,-4/19) -> (6/19,1/3) Hyperbolic Matrix(287,60,684,143) (-4/19,-1/5) -> (13/31,8/19) Hyperbolic Matrix(1369,264,1872,361) (-1/5,-5/26) -> (19/26,49/67) Hyperbolic Matrix(3313,636,5256,1009) (-5/26,-9/47) -> (75/119,29/46) Hyperbolic Matrix(2089,396,2664,505) (-4/21,-7/37) -> (29/37,40/51) Hyperbolic Matrix(361,68,1152,217) (-7/37,-3/16) -> (5/16,11/35) Hyperbolic Matrix(217,40,396,73) (-3/16,-2/11) -> (6/11,11/20) Hyperbolic Matrix(217,38,828,145) (-3/17,-4/23) -> (6/23,5/19) Hyperbolic Matrix(359,62,828,143) (-4/23,-1/6) -> (13/30,10/23) Hyperbolic Matrix(1009,162,1800,289) (-1/6,-4/25) -> (14/25,37/66) Hyperbolic Matrix(1295,178,2088,287) (-1/7,-3/22) -> (31/50,49/79) Hyperbolic Matrix(1223,166,1584,215) (-3/22,-2/15) -> (44/57,17/22) Hyperbolic Matrix(431,50,612,71) (-1/8,-1/9) -> (19/27,31/44) Hyperbolic Matrix(575,54,756,71) (-1/10,-1/11) -> (19/25,35/46) Hyperbolic Matrix(431,-46,684,-73) (0/1,1/9) -> (17/27,46/73) Hyperbolic Matrix(289,-38,540,-71) (1/8,2/15) -> (8/15,15/28) Hyperbolic Matrix(145,-22,468,-71) (1/7,2/13) -> (4/13,9/29) Hyperbolic Matrix(359,-56,468,-73) (2/13,1/6) -> (23/30,10/13) Hyperbolic Matrix(145,-26,396,-71) (1/6,2/11) -> (4/11,11/30) Hyperbolic Matrix(1151,-220,1512,-289) (4/21,5/26) -> (35/46,16/21) Hyperbolic Matrix(73,-16,324,-71) (3/14,2/9) -> (2/9,5/22) Parabolic Matrix(505,-116,936,-215) (8/35,3/13) -> (7/13,20/37) Hyperbolic Matrix(505,-118,612,-143) (3/13,4/17) -> (14/17,19/23) Hyperbolic Matrix(647,-156,900,-217) (5/21,1/4) -> (23/32,41/57) Hyperbolic Matrix(1801,-476,2448,-647) (5/19,9/34) -> (25/34,39/53) Hyperbolic Matrix(1657,-444,2952,-791) (4/15,11/41) -> (23/41,32/57) Hyperbolic Matrix(361,-98,792,-215) (10/37,3/11) -> (5/11,16/35) Hyperbolic Matrix(793,-218,1044,-287) (3/11,11/40) -> (3/4,19/25) Hyperbolic Matrix(10585,-2914,14904,-4103) (30/109,19/69) -> (49/69,76/107) Hyperbolic Matrix(4175,-1242,5328,-1585) (11/37,14/47) -> (76/97,29/37) Hyperbolic Matrix(1367,-408,1692,-505) (14/47,3/10) -> (21/26,38/47) Hyperbolic Matrix(937,-292,1152,-359) (9/29,5/16) -> (13/16,35/43) Hyperbolic Matrix(3167,-1112,4104,-1441) (7/20,13/37) -> (27/35,71/92) Hyperbolic Matrix(1151,-414,1404,-505) (14/39,9/25) -> (9/11,32/39) Hyperbolic Matrix(575,-218,1332,-505) (14/37,11/29) -> (3/7,16/37) Hyperbolic Matrix(2231,-848,2844,-1081) (19/50,8/21) -> (40/51,11/14) Hyperbolic Matrix(3025,-1156,4896,-1871) (21/55,13/34) -> (21/34,55/89) Hyperbolic Matrix(6769,-2594,8640,-3311) (18/47,23/60) -> (47/60,76/97) Hyperbolic Matrix(10151,-3892,12960,-4969) (23/60,28/73) -> (112/143,47/60) Hyperbolic Matrix(503,-194,936,-361) (5/13,17/44) -> (15/28,7/13) Hyperbolic Matrix(3169,-1226,4464,-1727) (29/75,12/31) -> (22/31,49/69) Hyperbolic Matrix(143,-58,180,-73) (2/5,7/17) -> (15/19,4/5) Hyperbolic Matrix(1583,-654,2268,-937) (19/46,12/29) -> (30/43,7/10) Hyperbolic Matrix(361,-150,864,-359) (12/29,5/12) -> (5/12,18/43) Parabolic Matrix(935,-392,1548,-649) (31/74,13/31) -> (3/5,23/38) Hyperbolic Matrix(863,-364,1368,-577) (8/19,11/26) -> (29/46,12/19) Hyperbolic Matrix(361,-154,504,-215) (14/33,3/7) -> (5/7,28/39) Hyperbolic Matrix(3169,-1372,5652,-2447) (16/37,13/30) -> (37/66,60/107) Hyperbolic Matrix(145,-64,324,-143) (7/16,4/9) -> (4/9,9/20) Parabolic Matrix(1871,-844,2556,-1153) (9/20,14/31) -> (30/41,41/56) Hyperbolic Matrix(721,-332,936,-431) (11/24,6/13) -> (10/13,37/48) Hyperbolic Matrix(577,-314,792,-431) (13/24,6/11) -> (8/11,35/48) Hyperbolic Matrix(361,-200,648,-359) (16/29,5/9) -> (5/9,24/43) Parabolic Matrix(4751,-2668,6156,-3457) (32/57,9/16) -> (71/92,44/57) Hyperbolic Matrix(2015,-1136,2556,-1441) (9/16,22/39) -> (26/33,41/52) Hyperbolic Matrix(721,-418,1116,-647) (11/19,18/31) -> (20/31,11/17) Hyperbolic Matrix(791,-460,1116,-649) (18/31,7/12) -> (17/24,22/31) Hyperbolic Matrix(433,-254,612,-359) (7/12,10/17) -> (12/17,17/24) Hyperbolic Matrix(3169,-1874,5112,-3023) (13/22,29/49) -> (75/121,31/50) Hyperbolic Matrix(3671,-2224,5112,-3097) (23/38,20/33) -> (28/39,79/110) Hyperbolic Matrix(721,-438,828,-503) (17/28,14/23) -> (20/23,7/8) Hyperbolic Matrix(1873,-1160,2556,-1583) (13/21,44/71) -> (52/71,11/15) Hyperbolic Matrix(18073,-11390,23076,-14543) (46/73,75/119) -> (65/83,112/143) Hyperbolic Matrix(575,-364,684,-433) (12/19,19/30) -> (5/6,16/19) Hyperbolic Matrix(4609,-2922,5904,-3743) (45/71,26/41) -> (32/41,57/73) Hyperbolic Matrix(1583,-1014,1800,-1153) (16/25,41/64) -> (7/8,22/25) Hyperbolic Matrix(73,-48,108,-71) (11/17,2/3) -> (2/3,13/19) Parabolic Matrix(2159,-1478,2736,-1873) (13/19,37/54) -> (71/90,15/19) Hyperbolic Matrix(863,-596,1044,-721) (20/29,9/13) -> (19/23,24/29) Hyperbolic Matrix(13393,-9514,18648,-13247) (76/107,27/38) -> (79/110,130/181) Hyperbolic Matrix(2231,-1586,2736,-1945) (27/38,5/7) -> (53/65,31/38) Hyperbolic Matrix(2591,-1864,3204,-2305) (41/57,18/25) -> (38/47,17/21) Hyperbolic Matrix(359,-262,396,-289) (27/37,19/26) -> (9/10,1/1) Hyperbolic Matrix(2879,-2116,3528,-2593) (36/49,25/34) -> (31/38,40/49) Hyperbolic Matrix(1079,-826,1224,-937) (13/17,36/47) -> (22/25,15/17) Hyperbolic Matrix(505,-392,648,-503) (24/31,7/9) -> (7/9,32/41) Parabolic Matrix(2377,-1936,2916,-2375) (35/43,22/27) -> (22/27,53/65) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-4,1) Matrix(289,262,-396,-359) -> Matrix(1,0,0,1) Matrix(505,446,1224,1081) -> Matrix(1,4,-4,-15) Matrix(143,126,-900,-793) -> Matrix(1,4,-4,-15) Matrix(503,438,-828,-721) -> Matrix(1,2,-4,-7) Matrix(361,312,1584,1369) -> Matrix(1,2,-4,-7) Matrix(793,684,2088,1801) -> Matrix(7,8,-8,-9) Matrix(143,122,252,215) -> Matrix(3,2,-8,-5) Matrix(433,364,-684,-575) -> Matrix(3,-2,-4,3) Matrix(143,118,-612,-505) -> Matrix(1,2,0,1) Matrix(863,710,1224,1007) -> Matrix(1,4,-4,-15) Matrix(505,414,-1404,-1151) -> Matrix(1,2,8,17) Matrix(2593,2116,-3528,-2879) -> Matrix(1,2,-4,-7) Matrix(287,234,-1944,-1585) -> Matrix(5,8,-12,-19) Matrix(145,118,-972,-791) -> Matrix(3,4,-4,-5) Matrix(791,642,1152,935) -> Matrix(1,2,-4,-7) Matrix(649,526,2844,2305) -> Matrix(1,2,-4,-7) Matrix(361,292,-1512,-1223) -> Matrix(3,4,-4,-5) Matrix(503,406,1872,1511) -> Matrix(7,8,-8,-9) Matrix(73,58,-180,-143) -> Matrix(1,0,0,1) Matrix(1081,848,-2844,-2231) -> Matrix(3,-4,-8,11) Matrix(1585,1242,-5328,-4175) -> Matrix(1,2,0,1) Matrix(143,112,-1656,-1297) -> Matrix(1,0,-4,1) Matrix(3527,2762,4320,3383) -> Matrix(7,-2,-24,7) Matrix(215,168,828,647) -> Matrix(1,-2,0,1) Matrix(503,392,-648,-505) -> Matrix(1,-6,0,1) Matrix(3241,2510,-5112,-3959) -> Matrix(3,16,-4,-21) Matrix(719,556,1116,863) -> Matrix(1,4,-4,-15) Matrix(215,166,1584,1223) -> Matrix(1,2,-4,-7) Matrix(1223,944,-4572,-3529) -> Matrix(1,2,-4,-7) Matrix(431,332,-936,-721) -> Matrix(1,2,0,1) Matrix(73,56,-468,-359) -> Matrix(1,2,-4,-7) Matrix(577,440,1512,1153) -> Matrix(3,4,-4,-5) Matrix(287,218,-1044,-793) -> Matrix(5,8,-12,-19) Matrix(577,428,972,721) -> Matrix(3,2,-8,-5) Matrix(1151,852,1944,1439) -> Matrix(1,0,0,1) Matrix(577,426,684,505) -> Matrix(1,0,-4,1) Matrix(647,476,-2448,-1801) -> Matrix(3,2,-8,-5) Matrix(4679,3438,5976,4391) -> Matrix(1,0,-4,1) Matrix(937,688,1080,793) -> Matrix(1,2,-4,-7) Matrix(1295,948,-2952,-2161) -> Matrix(3,2,-8,-5) Matrix(6479,4740,8856,6479) -> Matrix(1,0,8,1) Matrix(10585,7742,14472,10585) -> Matrix(1,0,-20,1) Matrix(361,264,1872,1369) -> Matrix(1,0,-8,1) Matrix(1873,1368,4536,3313) -> Matrix(1,-2,-4,9) Matrix(431,314,-792,-577) -> Matrix(1,0,0,1) Matrix(287,208,396,287) -> Matrix(1,0,-4,1) Matrix(649,468,900,649) -> Matrix(1,6,-4,-23) Matrix(217,156,-900,-647) -> Matrix(1,2,0,1) Matrix(215,154,-504,-361) -> Matrix(1,2,-4,-7) Matrix(359,254,-612,-433) -> Matrix(1,0,0,1) Matrix(1007,710,1224,863) -> Matrix(1,4,-4,-15) Matrix(71,50,612,431) -> Matrix(1,2,-4,-7) Matrix(1223,860,1944,1367) -> Matrix(1,2,-4,-7) Matrix(359,252,1332,935) -> Matrix(3,4,-4,-5) Matrix(937,654,-2268,-1583) -> Matrix(5,6,4,5) Matrix(721,502,1656,1153) -> Matrix(11,12,-12,-13) Matrix(1151,800,1656,1151) -> Matrix(29,30,-88,-91) Matrix(649,450,936,649) -> Matrix(15,14,-44,-41) Matrix(217,150,-936,-647) -> Matrix(5,4,-4,-3) Matrix(575,396,1044,719) -> Matrix(1,0,0,1) Matrix(71,48,-108,-73) -> Matrix(1,0,0,1) Matrix(1081,702,1332,865) -> Matrix(1,2,-4,-7) Matrix(2665,1728,3888,2521) -> Matrix(3,2,-8,-5) Matrix(1007,652,-2448,-1585) -> Matrix(1,0,0,1) Matrix(647,418,-1116,-721) -> Matrix(3,4,-4,-5) Matrix(215,138,1008,647) -> Matrix(3,4,-4,-5) Matrix(2519,1614,6516,4175) -> Matrix(31,36,-56,-65) Matrix(431,276,-2700,-1729) -> Matrix(9,10,-28,-31) Matrix(1151,736,1800,1151) -> Matrix(25,26,-76,-79) Matrix(505,322,792,505) -> Matrix(15,14,-44,-41) Matrix(359,228,792,503) -> Matrix(7,6,-20,-17) Matrix(7345,4656,10224,6481) -> Matrix(3,2,-8,-5) Matrix(3601,2282,5796,3673) -> Matrix(7,6,-20,-17) Matrix(1009,638,1368,865) -> Matrix(3,2,-8,-5) Matrix(577,364,-1368,-863) -> Matrix(3,2,-8,-5) Matrix(1367,860,1944,1223) -> Matrix(1,2,-4,-7) Matrix(217,136,576,361) -> Matrix(1,0,0,1) Matrix(215,134,576,359) -> Matrix(5,4,-4,-3) Matrix(3673,2282,5796,3601) -> Matrix(7,6,-20,-17) Matrix(1729,1074,2088,1297) -> Matrix(19,14,-72,-53) Matrix(3887,2412,6264,3887) -> Matrix(41,28,-104,-71) Matrix(10585,6566,17064,10585) -> Matrix(79,52,-196,-129) Matrix(287,178,2088,1295) -> Matrix(3,2,-20,-13) Matrix(3023,1874,-5112,-3169) -> Matrix(3,2,-8,-5) Matrix(2447,1516,-5580,-3457) -> Matrix(7,4,-16,-9) Matrix(359,222,1512,935) -> Matrix(3,2,-8,-5) Matrix(1871,1156,-4896,-3025) -> Matrix(7,4,-16,-9) Matrix(217,134,468,289) -> Matrix(3,2,-8,-5) Matrix(287,176,468,287) -> Matrix(7,4,-16,-9) Matrix(505,308,828,505) -> Matrix(5,2,-8,-3) Matrix(2089,1270,2844,1729) -> Matrix(1,0,0,1) Matrix(1655,1004,2016,1223) -> Matrix(9,2,-32,-7) Matrix(791,478,-1908,-1153) -> Matrix(1,0,4,1) Matrix(1151,686,2052,1223) -> Matrix(7,4,-16,-9) Matrix(1367,812,4968,2951) -> Matrix(5,2,-8,-3) Matrix(721,428,972,577) -> Matrix(3,2,-8,-5) Matrix(1439,852,1944,1151) -> Matrix(1,0,0,1) Matrix(1727,1022,4500,2663) -> Matrix(5,2,-8,-3) Matrix(217,128,612,361) -> Matrix(1,0,-4,1) Matrix(503,294,-864,-505) -> Matrix(7,8,-8,-9) Matrix(289,168,-1980,-1151) -> Matrix(7,6,-20,-17) Matrix(2159,1254,-5580,-3241) -> Matrix(31,26,-68,-57) Matrix(1727,1002,2232,1295) -> Matrix(11,8,-40,-29) Matrix(73,42,252,145) -> Matrix(3,2,-8,-5) Matrix(215,122,252,143) -> Matrix(3,2,-8,-5) Matrix(503,284,1656,935) -> Matrix(3,2,-32,-21) Matrix(1153,650,-2808,-1583) -> Matrix(3,2,-8,-5) Matrix(791,444,-2952,-1657) -> Matrix(13,8,-44,-27) Matrix(3599,2018,-9504,-5329) -> Matrix(7,4,-16,-9) Matrix(2951,1654,3852,2159) -> Matrix(13,8,-44,-27) Matrix(937,524,2448,1369) -> Matrix(3,2,-8,-5) Matrix(359,200,-648,-361) -> Matrix(11,6,-24,-13) Matrix(1583,874,3780,2087) -> Matrix(5,2,12,5) Matrix(719,396,1044,575) -> Matrix(1,0,0,1) Matrix(73,40,396,217) -> Matrix(1,0,0,1) Matrix(1943,1054,2520,1367) -> Matrix(1,4,-4,-15) Matrix(289,156,-1332,-719) -> Matrix(3,2,-8,-5) Matrix(71,38,-540,-289) -> Matrix(1,0,0,1) Matrix(143,76,540,287) -> Matrix(1,0,0,1) Matrix(289,134,468,217) -> Matrix(3,2,-8,-5) Matrix(1943,892,2664,1223) -> Matrix(1,2,-4,-7) Matrix(215,98,-792,-361) -> Matrix(3,2,-8,-5) Matrix(143,64,-324,-145) -> Matrix(7,4,-16,-9) Matrix(937,412,1476,649) -> Matrix(33,14,-92,-39) Matrix(3889,1704,4932,2161) -> Matrix(5,2,-8,-3) Matrix(289,126,828,361) -> Matrix(11,4,-36,-13) Matrix(1153,502,1656,721) -> Matrix(35,12,-108,-37) Matrix(793,344,2160,937) -> Matrix(1,0,4,1) Matrix(505,218,-1332,-575) -> Matrix(1,0,0,1) Matrix(4105,1744,5256,2233) -> Matrix(7,2,-32,-9) Matrix(5833,2476,-14076,-5975) -> Matrix(1,0,8,1) Matrix(359,152,1188,503) -> Matrix(1,0,-4,1) Matrix(71,30,-684,-289) -> Matrix(1,0,0,1) Matrix(143,60,684,287) -> Matrix(1,0,4,1) Matrix(359,150,-864,-361) -> Matrix(1,0,8,1) Matrix(14399,5966,-52308,-21673) -> Matrix(9,-4,-20,9) Matrix(2231,924,3996,1655) -> Matrix(9,-4,-20,9) Matrix(1151,476,4176,1727) -> Matrix(7,-4,-12,7) Matrix(935,386,1044,431) -> Matrix(1,-2,-4,9) Matrix(1081,446,1224,505) -> Matrix(1,4,-4,-15) Matrix(10223,4202,12960,5327) -> Matrix(1,0,0,1) Matrix(5905,2426,8064,3313) -> Matrix(1,0,0,1) Matrix(503,206,1404,575) -> Matrix(1,0,-8,1) Matrix(71,28,180,71) -> Matrix(3,2,-8,-5) Matrix(433,168,1116,433) -> Matrix(25,12,-48,-23) Matrix(5689,2200,-20664,-7991) -> Matrix(5,2,-8,-3) Matrix(4175,1614,6516,2519) -> Matrix(79,36,-248,-113) Matrix(145,56,-1116,-431) -> Matrix(9,4,-16,-7) Matrix(6047,2320,9756,3743) -> Matrix(1,0,0,1) Matrix(73,28,-936,-359) -> Matrix(5,2,-8,-3) Matrix(2015,772,-6768,-2593) -> Matrix(11,4,8,3) Matrix(1369,524,2448,937) -> Matrix(3,2,-8,-5) Matrix(12817,4896,20736,7921) -> Matrix(39,16,-100,-41) Matrix(12815,4894,20736,7919) -> Matrix(41,16,-100,-39) Matrix(1153,440,1512,577) -> Matrix(11,4,-36,-13) Matrix(431,164,2268,863) -> Matrix(5,2,-28,-11) Matrix(1801,684,2088,793) -> Matrix(23,8,-72,-25) Matrix(6479,2460,17064,6479) -> Matrix(53,18,-56,-19) Matrix(2377,902,6264,2377) -> Matrix(7,2,-4,-1) Matrix(2377,900,3996,1513) -> Matrix(1,0,0,1) Matrix(361,136,576,217) -> Matrix(1,0,0,1) Matrix(359,134,576,215) -> Matrix(13,4,-36,-11) Matrix(577,214,1944,721) -> Matrix(15,4,-64,-17) Matrix(287,106,972,359) -> Matrix(9,2,-32,-7) Matrix(71,26,-396,-145) -> Matrix(1,0,4,1) Matrix(287,104,792,287) -> Matrix(1,0,12,1) Matrix(649,234,1800,649) -> Matrix(1,0,-28,1) Matrix(1943,698,3204,1151) -> Matrix(1,0,-8,1) Matrix(793,284,1008,361) -> Matrix(1,0,-8,1) Matrix(361,128,612,217) -> Matrix(1,0,-4,1) Matrix(647,228,1836,647) -> Matrix(1,-4,-4,17) Matrix(1223,430,3888,1367) -> Matrix(1,10,0,1) Matrix(935,328,-3492,-1225) -> Matrix(1,4,-4,-15) Matrix(361,126,828,289) -> Matrix(3,4,-4,-5) Matrix(145,46,684,217) -> Matrix(7,2,-4,-1) Matrix(647,204,2052,647) -> Matrix(23,6,-4,-1) Matrix(1367,430,3888,1223) -> Matrix(41,10,-160,-39) Matrix(217,68,1152,361) -> Matrix(9,2,-32,-7) Matrix(71,22,-468,-145) -> Matrix(1,0,4,1) Matrix(287,88,936,287) -> Matrix(1,0,16,1) Matrix(505,154,1656,505) -> Matrix(1,0,-28,1) Matrix(935,284,1656,503) -> Matrix(13,-2,-32,5) Matrix(503,152,1188,359) -> Matrix(1,0,-4,1) Matrix(577,172,-2412,-719) -> Matrix(1,-2,0,1) Matrix(721,214,1944,577) -> Matrix(1,-4,0,1) Matrix(359,106,972,287) -> Matrix(1,2,0,1) Matrix(145,42,252,73) -> Matrix(3,2,-8,-5) Matrix(71,20,252,71) -> Matrix(3,2,-8,-5) Matrix(289,80,1044,289) -> Matrix(17,8,-32,-15) Matrix(2737,754,3924,1081) -> Matrix(51,22,-160,-69) Matrix(72143,19858,100440,27647) -> Matrix(55,24,-204,-89) Matrix(71209,19600,99144,27289) -> Matrix(29,12,-104,-43) Matrix(2951,812,4968,1367) -> Matrix(5,2,-8,-3) Matrix(503,138,-2628,-721) -> Matrix(5,2,12,5) Matrix(1441,390,2664,721) -> Matrix(1,0,0,1) Matrix(935,252,1332,359) -> Matrix(11,4,-36,-13) Matrix(1511,406,1872,503) -> Matrix(23,8,-72,-25) Matrix(3887,1044,14472,3887) -> Matrix(53,18,-56,-19) Matrix(2377,638,8856,2377) -> Matrix(31,10,-28,-9) Matrix(287,76,540,143) -> Matrix(1,0,0,1) Matrix(3817,1008,5184,1369) -> Matrix(11,4,-36,-13) Matrix(3815,1006,5184,1367) -> Matrix(13,4,-36,-11) Matrix(503,132,1368,359) -> Matrix(1,0,4,1) Matrix(647,168,828,215) -> Matrix(7,2,-32,-9) Matrix(935,222,1512,359) -> Matrix(3,2,-8,-5) Matrix(2303,536,3708,863) -> Matrix(3,8,-8,-21) Matrix(71,16,-324,-73) -> Matrix(3,2,-8,-5) Matrix(1367,296,2988,647) -> Matrix(1,0,0,1) Matrix(2159,466,2664,575) -> Matrix(11,4,-36,-13) Matrix(1151,248,1332,287) -> Matrix(11,4,-36,-13) Matrix(647,138,1008,215) -> Matrix(11,4,-36,-13) Matrix(217,46,684,145) -> Matrix(7,2,-4,-1) Matrix(287,60,684,143) -> Matrix(1,0,4,1) Matrix(1369,264,1872,361) -> Matrix(1,0,-8,1) Matrix(3313,636,5256,1009) -> Matrix(5,-2,-12,5) Matrix(2089,396,2664,505) -> Matrix(1,-2,-4,9) Matrix(361,68,1152,217) -> Matrix(1,2,0,1) Matrix(217,40,396,73) -> Matrix(1,0,0,1) Matrix(217,38,828,145) -> Matrix(1,0,0,1) Matrix(359,62,828,143) -> Matrix(1,0,0,1) Matrix(1009,162,1800,289) -> Matrix(3,2,-8,-5) Matrix(1295,178,2088,287) -> Matrix(5,-2,-12,5) Matrix(1223,166,1584,215) -> Matrix(1,2,-4,-7) Matrix(431,50,612,71) -> Matrix(1,2,-4,-7) Matrix(575,54,756,71) -> Matrix(1,2,-4,-7) Matrix(431,-46,684,-73) -> Matrix(3,2,-8,-5) Matrix(289,-38,540,-71) -> Matrix(1,0,0,1) Matrix(145,-22,468,-71) -> Matrix(1,0,4,1) Matrix(359,-56,468,-73) -> Matrix(1,2,-4,-7) Matrix(145,-26,396,-71) -> Matrix(1,0,4,1) Matrix(1151,-220,1512,-289) -> Matrix(9,2,-32,-7) Matrix(73,-16,324,-71) -> Matrix(3,2,-8,-5) Matrix(505,-116,936,-215) -> Matrix(1,0,0,1) Matrix(505,-118,612,-143) -> Matrix(9,2,-32,-7) Matrix(647,-156,900,-217) -> Matrix(9,2,-32,-7) Matrix(1801,-476,2448,-647) -> Matrix(3,2,-8,-5) Matrix(1657,-444,2952,-791) -> Matrix(5,8,-12,-19) Matrix(361,-98,792,-215) -> Matrix(3,2,-8,-5) Matrix(793,-218,1044,-287) -> Matrix(13,8,-44,-27) Matrix(10585,-2914,14904,-4103) -> Matrix(13,8,-44,-27) Matrix(4175,-1242,5328,-1585) -> Matrix(9,2,-32,-7) Matrix(1367,-408,1692,-505) -> Matrix(29,6,-92,-19) Matrix(937,-292,1152,-359) -> Matrix(5,-4,-16,13) Matrix(3167,-1112,4104,-1441) -> Matrix(7,2,-32,-9) Matrix(1151,-414,1404,-505) -> Matrix(25,2,-88,-7) Matrix(575,-218,1332,-505) -> Matrix(1,0,0,1) Matrix(2231,-848,2844,-1081) -> Matrix(5,4,-24,-19) Matrix(3025,-1156,4896,-1871) -> Matrix(7,4,-16,-9) Matrix(6769,-2594,8640,-3311) -> Matrix(3,2,-8,-5) Matrix(10151,-3892,12960,-4969) -> Matrix(3,2,-20,-13) Matrix(503,-194,936,-361) -> Matrix(7,4,-16,-9) Matrix(3169,-1226,4464,-1727) -> Matrix(25,14,-84,-47) Matrix(143,-58,180,-73) -> Matrix(1,0,0,1) Matrix(1583,-654,2268,-937) -> Matrix(29,6,-92,-19) Matrix(361,-150,864,-359) -> Matrix(1,0,8,1) Matrix(935,-392,1548,-649) -> Matrix(1,0,-4,1) Matrix(863,-364,1368,-577) -> Matrix(3,2,-8,-5) Matrix(361,-154,504,-215) -> Matrix(1,2,-4,-7) Matrix(3169,-1372,5652,-2447) -> Matrix(7,4,-16,-9) Matrix(145,-64,324,-143) -> Matrix(7,4,-16,-9) Matrix(1871,-844,2556,-1153) -> Matrix(5,2,-8,-3) Matrix(721,-332,936,-431) -> Matrix(9,2,-32,-7) Matrix(577,-314,792,-431) -> Matrix(1,0,0,1) Matrix(361,-200,648,-359) -> Matrix(11,6,-24,-13) Matrix(4751,-2668,6156,-3457) -> Matrix(5,2,-8,-3) Matrix(2015,-1136,2556,-1441) -> Matrix(5,2,-8,-3) Matrix(721,-418,1116,-647) -> Matrix(11,4,-36,-13) Matrix(791,-460,1116,-649) -> Matrix(23,8,-72,-25) Matrix(433,-254,612,-359) -> Matrix(1,0,0,1) Matrix(3169,-1874,5112,-3023) -> Matrix(3,2,-8,-5) Matrix(3671,-2224,5112,-3097) -> Matrix(9,2,-32,-7) Matrix(721,-438,828,-503) -> Matrix(1,2,-4,-7) Matrix(1873,-1160,2556,-1583) -> Matrix(5,2,-8,-3) Matrix(18073,-11390,23076,-14543) -> Matrix(5,2,-28,-11) Matrix(575,-364,684,-433) -> Matrix(5,2,-28,-11) Matrix(4609,-2922,5904,-3743) -> Matrix(5,2,-28,-11) Matrix(1583,-1014,1800,-1153) -> Matrix(81,26,-296,-95) Matrix(73,-48,108,-71) -> Matrix(1,0,0,1) Matrix(2159,-1478,2736,-1873) -> Matrix(1,0,0,1) Matrix(863,-596,1044,-721) -> Matrix(27,10,-100,-37) Matrix(13393,-9514,18648,-13247) -> Matrix(45,14,-164,-51) Matrix(2231,-1586,2736,-1945) -> Matrix(59,18,-200,-61) Matrix(2591,-1864,3204,-2305) -> Matrix(51,14,-164,-45) Matrix(359,-262,396,-289) -> Matrix(1,0,0,1) Matrix(2879,-2116,3528,-2593) -> Matrix(1,2,-4,-7) Matrix(1079,-826,1224,-937) -> Matrix(9,2,-32,-7) Matrix(505,-392,648,-503) -> Matrix(23,6,-96,-25) Matrix(2377,-1936,2916,-2375) -> Matrix(119,36,-400,-121) 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): 48 Degree of the the map X: 96 Degree of the the map Y: 288 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 864 Minimal number of generators: 145 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 64 Genus: 41 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -5/6 -7/9 -11/15 -2/3 -35/54 -5/9 -1/2 -11/24 -4/9 -5/12 -41/108 -13/36 -1/3 -17/54 -11/36 -3/10 -29/108 -4/15 -19/72 -1/4 -2/9 -3/14 -3/16 -3/17 -1/6 -1/8 -1/9 0/1 1/8 1/7 2/13 1/6 2/11 3/16 1/5 3/14 2/9 3/13 4/17 1/4 4/15 3/11 5/18 2/7 8/27 3/10 1/3 7/18 2/5 5/12 4/9 11/24 1/2 5/9 11/18 17/27 2/3 13/18 11/15 7/9 5/6 8/9 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/0 -7/8 -2/1 -6/7 -1/1 -1/2 -11/13 1/4 -5/6 1/0 -9/11 -7/4 -13/16 -1/1 -30/37 -3/2 -1/1 -17/21 -3/2 -4/5 -1/1 -1/2 -11/14 1/2 -7/9 1/0 -17/22 -5/2 -27/35 1/0 -10/13 -5/2 -2/1 -13/17 1/0 -3/4 -1/1 -14/19 -1/1 1/0 -11/15 -1/2 -30/41 -1/6 0/1 -19/26 1/2 -27/37 1/0 -8/11 0/1 1/0 -13/18 1/0 -5/7 1/0 -12/17 -2/1 1/0 -19/27 -3/2 -26/37 -3/2 -1/1 -7/10 -3/2 -9/13 -7/8 -11/16 -1/1 -2/3 -1/1 0/1 -13/20 -1/1 -24/37 -1/1 -1/2 -35/54 -1/2 -11/17 1/0 -9/14 -3/2 -7/11 -7/8 -19/30 -3/4 -12/19 -1/1 -3/4 -17/27 -1/2 -5/8 -1/1 -18/29 -7/10 -2/3 -31/50 -1/2 -13/21 -1/2 -34/55 -3/4 -2/3 -21/34 -1/2 -8/13 -2/3 -1/2 -11/18 -1/2 -3/5 1/0 -10/17 -2/1 1/0 -7/12 -1/1 -11/19 -3/4 -4/7 -1/1 -1/2 -13/23 -11/16 -9/16 -2/3 -5/9 -1/2 -11/20 -1/3 -6/11 0/1 1/0 -19/35 1/0 -13/24 -1/1 -7/13 -3/4 -1/2 -1/2 -6/13 -1/2 0/1 -17/37 1/0 -11/24 -1/1 -5/11 1/0 -4/9 -1/2 -11/25 -7/16 -7/16 -2/5 -10/23 -1/3 -3/10 -3/7 -1/4 -8/19 -1/3 -1/4 -5/12 0/1 -7/17 1/0 -9/22 1/2 -2/5 -1/1 -1/2 -7/18 -1/2 -5/13 -5/12 -13/34 -1/2 -8/21 -2/5 -1/3 -27/71 -3/8 -19/50 -5/14 -30/79 -9/26 -1/3 -41/108 -1/3 -11/29 -1/4 -3/8 -1/3 -13/35 -1/4 -10/27 -1/4 -7/19 -1/4 -4/11 -1/8 0/1 -13/36 0/1 -9/25 1/12 -5/14 1/2 -6/17 2/1 1/0 -1/3 -1/2 -6/19 -3/11 -1/4 -17/54 -1/4 -11/35 -1/4 -5/16 -1/5 -4/13 -1/10 0/1 -11/36 0/1 -7/23 1/12 -3/10 1/2 -11/37 1/0 -8/27 1/0 -5/17 1/0 -2/7 -1/1 -1/2 -5/18 -1/2 -3/11 -3/8 -13/48 -1/3 -10/37 -1/2 -1/3 -7/26 -1/2 -18/67 -9/26 -1/3 -29/108 -1/3 -11/41 -5/16 -4/15 -1/3 0/1 -9/34 -1/2 -14/53 -3/8 -1/3 -19/72 -1/3 -5/19 -1/4 -1/4 0/1 -4/17 0/1 1/0 -7/30 1/0 -3/13 -3/4 -2/9 -1/2 -5/23 -1/4 -13/60 -1/3 -8/37 -1/2 -1/3 -11/51 -1/2 -3/14 -1/2 -4/19 -1/4 -1/5 -1/5 -1/4 -4/21 0/1 1/1 -7/37 1/0 -3/16 -1/1 -2/11 -1/4 0/1 -3/17 1/0 -1/6 -1/2 -3/19 -1/4 -2/13 -1/6 0/1 -1/7 -1/4 -1/8 0/1 -1/9 -1/2 0/1 -1/2 0/1 1/8 0/1 1/7 1/0 2/13 0/1 1/2 1/6 -1/2 2/11 0/1 1/0 3/16 -1/3 7/37 -1/4 4/21 -1/5 0/1 1/5 1/0 3/14 -1/2 2/9 -1/2 5/22 -1/2 8/35 -1/2 -1/3 3/13 -3/8 4/17 -1/4 0/1 1/4 0/1 5/19 1/0 4/15 -1/1 0/1 11/41 -5/4 7/26 -1/2 10/37 -1/1 -1/2 3/11 -3/4 5/18 -1/2 2/7 -1/2 -1/3 5/17 -1/4 8/27 -1/4 11/37 -1/4 3/10 -1/6 4/13 0/1 1/6 5/16 1/1 1/3 -1/2 7/20 -2/7 13/37 -1/4 19/54 -1/4 6/17 -1/4 -2/9 5/14 -1/6 4/11 0/1 1/4 11/30 1/2 7/19 1/0 10/27 1/0 3/8 -1/1 11/29 1/0 19/50 -5/6 8/21 -1/1 -2/3 21/55 -3/4 13/34 -1/2 5/13 -5/8 7/18 -1/2 2/5 -1/2 -1/3 7/17 -1/4 5/12 0/1 8/19 -1/1 1/0 3/7 1/0 10/23 -3/2 -1/1 7/16 -2/3 4/9 -1/2 9/20 -2/5 5/11 -1/4 16/35 -1/2 -1/3 11/24 -1/3 6/13 -1/2 0/1 1/2 -1/2 7/13 -3/8 20/37 -1/2 -1/3 13/24 -1/3 6/11 -1/4 0/1 5/9 -1/2 14/25 -7/16 -3/7 9/16 -2/5 13/23 -11/28 4/7 -1/2 -1/3 11/19 -3/8 7/12 -1/3 10/17 -2/7 -1/4 13/22 -1/2 3/5 -1/4 11/18 -1/2 8/13 -1/2 -2/5 21/34 -1/2 13/21 -1/2 44/71 -1/2 -2/5 31/50 -1/2 49/79 -13/32 67/108 -2/5 18/29 -2/5 -7/18 5/8 -1/3 22/35 -1/2 -1/3 17/27 -1/2 12/19 -3/8 -1/3 7/11 -7/20 23/36 -1/3 16/25 -1/3 -13/40 9/14 -3/10 11/17 -1/4 2/3 -1/3 0/1 13/19 -1/4 37/54 -1/2 24/35 -1/2 -1/3 11/16 -1/3 9/13 -7/20 25/36 -1/3 16/23 -1/3 -15/46 7/10 -3/10 26/37 -1/3 -3/10 19/27 -3/10 12/17 -2/7 -1/4 5/7 -1/4 13/18 -1/4 8/11 -1/4 0/1 35/48 -1/3 27/37 -1/4 19/26 -1/6 49/67 -1/12 79/108 0/1 30/41 0/1 1/2 11/15 -1/2 25/34 -1/2 39/53 -3/8 53/72 -1/3 14/19 -1/3 -1/4 3/4 -1/3 13/17 -1/4 23/30 -3/10 10/13 -2/7 -5/18 7/9 -1/4 18/23 -1/5 -1/6 47/60 0/1 29/37 -1/4 40/51 -2/9 -1/5 11/14 -1/6 15/19 -1/4 4/5 -1/2 -1/3 17/21 -3/10 30/37 -1/3 -3/10 13/16 -1/3 9/11 -7/24 14/17 -2/7 -1/4 5/6 -1/4 16/19 -1/4 -1/5 11/13 -1/8 6/7 -1/2 -1/3 7/8 -2/7 8/9 -1/4 1/1 -1/4 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(107,94,-288,-253) (-1/1,-7/8) -> (-3/8,-13/35) Hyperbolic Matrix(179,156,288,251) (-7/8,-6/7) -> (18/29,5/8) Hyperbolic Matrix(143,122,252,215) (-6/7,-11/13) -> (13/23,4/7) Hyperbolic Matrix(109,92,-468,-395) (-11/13,-5/6) -> (-7/30,-3/13) Hyperbolic Matrix(251,206,-396,-325) (-5/6,-9/11) -> (-7/11,-19/30) Hyperbolic Matrix(179,146,396,323) (-9/11,-13/16) -> (9/20,5/11) Hyperbolic Matrix(791,642,1152,935) (-13/16,-30/37) -> (24/35,11/16) Hyperbolic Matrix(1405,1138,2268,1837) (-30/37,-17/21) -> (13/21,44/71) Hyperbolic Matrix(685,554,936,757) (-17/21,-4/5) -> (30/41,11/15) Hyperbolic Matrix(73,58,-180,-143) (-4/5,-11/14) -> (-9/22,-2/5) Hyperbolic Matrix(251,196,-324,-253) (-11/14,-7/9) -> (-7/9,-17/22) Parabolic Matrix(1259,972,-3312,-2557) (-17/22,-27/35) -> (-27/71,-19/50) Hyperbolic Matrix(431,332,-936,-721) (-27/35,-10/13) -> (-6/13,-17/37) Hyperbolic Matrix(73,56,-468,-359) (-10/13,-13/17) -> (-3/19,-2/13) Hyperbolic Matrix(37,28,144,109) (-13/17,-3/4) -> (1/4,5/19) Hyperbolic Matrix(35,26,144,107) (-3/4,-14/19) -> (4/17,1/4) Hyperbolic Matrix(757,556,-1224,-899) (-14/19,-11/15) -> (-13/21,-34/55) Hyperbolic Matrix(757,554,936,685) (-11/15,-30/41) -> (4/5,17/21) Hyperbolic Matrix(755,552,-2808,-2053) (-30/41,-19/26) -> (-7/26,-18/67) Hyperbolic Matrix(397,290,1332,973) (-19/26,-27/37) -> (11/37,3/10) Hyperbolic Matrix(431,314,-792,-577) (-27/37,-8/11) -> (-6/11,-19/35) Hyperbolic Matrix(287,208,396,287) (-8/11,-13/18) -> (13/18,8/11) Hyperbolic Matrix(181,130,252,181) (-13/18,-5/7) -> (5/7,13/18) Hyperbolic Matrix(107,76,252,179) (-5/7,-12/17) -> (8/19,3/7) Hyperbolic Matrix(613,432,972,685) (-12/17,-19/27) -> (17/27,12/19) Hyperbolic Matrix(1223,860,1944,1367) (-19/27,-26/37) -> (22/35,17/27) Hyperbolic Matrix(359,252,1332,935) (-26/37,-7/10) -> (7/26,10/37) Hyperbolic Matrix(109,76,-360,-251) (-7/10,-9/13) -> (-7/23,-3/10) Hyperbolic Matrix(325,224,576,397) (-9/13,-11/16) -> (9/16,13/23) Hyperbolic Matrix(71,48,-108,-73) (-11/16,-2/3) -> (-2/3,-13/20) Parabolic Matrix(1081,702,1332,865) (-13/20,-24/37) -> (30/37,13/16) Hyperbolic Matrix(2665,1728,3888,2521) (-24/37,-35/54) -> (37/54,24/35) Hyperbolic Matrix(1331,862,1944,1259) (-35/54,-11/17) -> (13/19,37/54) Hyperbolic Matrix(397,256,504,325) (-11/17,-9/14) -> (11/14,15/19) Hyperbolic Matrix(181,116,-504,-323) (-9/14,-7/11) -> (-9/25,-5/14) Hyperbolic Matrix(253,160,-1080,-683) (-19/30,-12/19) -> (-4/17,-7/30) Hyperbolic Matrix(685,432,972,613) (-12/19,-17/27) -> (19/27,12/17) Hyperbolic Matrix(35,22,-288,-181) (-17/27,-5/8) -> (-1/8,-1/9) Hyperbolic Matrix(251,156,288,179) (-5/8,-18/29) -> (6/7,7/8) Hyperbolic Matrix(2051,1272,-5400,-3349) (-18/29,-31/50) -> (-19/50,-30/79) Hyperbolic Matrix(613,380,-2844,-1763) (-31/50,-13/21) -> (-11/51,-3/14) Hyperbolic Matrix(971,600,-3672,-2269) (-34/55,-21/34) -> (-9/34,-14/53) Hyperbolic Matrix(217,134,468,289) (-21/34,-8/13) -> (6/13,1/2) Hyperbolic Matrix(287,176,468,287) (-8/13,-11/18) -> (11/18,8/13) Hyperbolic Matrix(109,66,180,109) (-11/18,-3/5) -> (3/5,11/18) Hyperbolic Matrix(37,22,-180,-107) (-3/5,-10/17) -> (-4/19,-1/5) Hyperbolic Matrix(181,106,432,253) (-10/17,-7/12) -> (5/12,8/19) Hyperbolic Matrix(179,104,432,251) (-7/12,-11/19) -> (7/17,5/12) Hyperbolic Matrix(73,42,252,145) (-11/19,-4/7) -> (2/7,5/17) Hyperbolic Matrix(215,122,252,143) (-4/7,-13/23) -> (11/13,6/7) Hyperbolic Matrix(397,224,576,325) (-13/23,-9/16) -> (11/16,9/13) Hyperbolic Matrix(179,100,-324,-181) (-9/16,-5/9) -> (-5/9,-11/20) Parabolic Matrix(73,40,396,217) (-11/20,-6/11) -> (2/11,3/16) Hyperbolic Matrix(2341,1270,2988,1621) (-19/35,-13/24) -> (47/60,29/37) Hyperbolic Matrix(289,156,-1332,-719) (-13/24,-7/13) -> (-5/23,-13/60) Hyperbolic Matrix(179,96,468,251) (-7/13,-1/2) -> (13/34,5/13) Hyperbolic Matrix(289,134,468,217) (-1/2,-6/13) -> (8/13,21/34) Hyperbolic Matrix(1943,892,2664,1223) (-17/37,-11/24) -> (35/48,27/37) Hyperbolic Matrix(215,98,-792,-361) (-11/24,-5/11) -> (-3/11,-13/48) Hyperbolic Matrix(143,64,-324,-145) (-5/11,-4/9) -> (-4/9,-11/25) Parabolic Matrix(469,206,576,253) (-11/25,-7/16) -> (13/16,9/11) Hyperbolic Matrix(179,78,576,251) (-7/16,-10/23) -> (4/13,5/16) Hyperbolic Matrix(37,16,252,109) (-10/23,-3/7) -> (1/7,2/13) Hyperbolic Matrix(179,76,252,107) (-3/7,-8/19) -> (12/17,5/7) Hyperbolic Matrix(253,106,432,181) (-8/19,-5/12) -> (7/12,10/17) Hyperbolic Matrix(251,104,432,179) (-5/12,-7/17) -> (11/19,7/12) Hyperbolic Matrix(395,162,612,251) (-7/17,-9/22) -> (9/14,11/17) Hyperbolic Matrix(71,28,180,71) (-2/5,-7/18) -> (7/18,2/5) Hyperbolic Matrix(181,70,468,181) (-7/18,-5/13) -> (5/13,7/18) Hyperbolic Matrix(251,96,468,179) (-5/13,-13/34) -> (1/2,7/13) Hyperbolic Matrix(325,124,-1224,-467) (-13/34,-8/21) -> (-4/15,-9/34) Hyperbolic Matrix(431,164,2268,863) (-8/21,-27/71) -> (7/37,4/21) Hyperbolic Matrix(7237,2748,11664,4429) (-30/79,-41/108) -> (67/108,18/29) Hyperbolic Matrix(7235,2746,11664,4427) (-41/108,-11/29) -> (49/79,67/108) Hyperbolic Matrix(37,14,288,109) (-11/29,-3/8) -> (1/8,1/7) Hyperbolic Matrix(577,214,1944,721) (-13/35,-10/27) -> (8/27,11/37) Hyperbolic Matrix(287,106,972,359) (-10/27,-7/19) -> (5/17,8/27) Hyperbolic Matrix(71,26,-396,-145) (-7/19,-4/11) -> (-2/11,-3/17) Hyperbolic Matrix(829,300,1296,469) (-4/11,-13/36) -> (23/36,16/25) Hyperbolic Matrix(827,298,1296,467) (-13/36,-9/25) -> (7/11,23/36) Hyperbolic Matrix(361,128,612,217) (-5/14,-6/17) -> (10/17,13/22) Hyperbolic Matrix(35,12,-108,-37) (-6/17,-1/3) -> (-1/3,-6/19) Parabolic Matrix(685,216,1944,613) (-6/19,-17/54) -> (19/54,6/17) Hyperbolic Matrix(1367,430,3888,1223) (-17/54,-11/35) -> (13/37,19/54) Hyperbolic Matrix(217,68,1152,361) (-11/35,-5/16) -> (3/16,7/37) Hyperbolic Matrix(251,78,576,179) (-5/16,-4/13) -> (10/23,7/16) Hyperbolic Matrix(901,276,1296,397) (-4/13,-11/36) -> (25/36,16/23) Hyperbolic Matrix(899,274,1296,395) (-11/36,-7/23) -> (9/13,25/36) Hyperbolic Matrix(973,290,1332,397) (-3/10,-11/37) -> (27/37,19/26) Hyperbolic Matrix(323,96,360,107) (-11/37,-8/27) -> (8/9,1/1) Hyperbolic Matrix(359,106,972,287) (-8/27,-5/17) -> (7/19,10/27) Hyperbolic Matrix(145,42,252,73) (-5/17,-2/7) -> (4/7,11/19) Hyperbolic Matrix(71,20,252,71) (-2/7,-5/18) -> (5/18,2/7) Hyperbolic Matrix(109,30,396,109) (-5/18,-3/11) -> (3/11,5/18) Hyperbolic Matrix(1441,390,2664,721) (-13/48,-10/37) -> (20/37,13/24) Hyperbolic Matrix(935,252,1332,359) (-10/37,-7/26) -> (7/10,26/37) Hyperbolic Matrix(8533,2292,11664,3133) (-18/67,-29/108) -> (79/108,30/41) Hyperbolic Matrix(8531,2290,11664,3131) (-29/108,-11/41) -> (49/67,79/108) Hyperbolic Matrix(179,48,936,251) (-11/41,-4/15) -> (4/21,1/5) Hyperbolic Matrix(3817,1008,5184,1369) (-14/53,-19/72) -> (53/72,14/19) Hyperbolic Matrix(3815,1006,5184,1367) (-19/72,-5/19) -> (39/53,53/72) Hyperbolic Matrix(109,28,144,37) (-5/19,-1/4) -> (3/4,13/17) Hyperbolic Matrix(107,26,144,35) (-1/4,-4/17) -> (14/19,3/4) Hyperbolic Matrix(71,16,-324,-73) (-3/13,-2/9) -> (-2/9,-5/23) Parabolic Matrix(1367,296,2988,647) (-13/60,-8/37) -> (16/35,11/24) Hyperbolic Matrix(2159,466,2664,575) (-8/37,-11/51) -> (17/21,30/37) Hyperbolic Matrix(179,38,504,107) (-3/14,-4/19) -> (6/17,5/14) Hyperbolic Matrix(251,48,936,179) (-1/5,-4/21) -> (4/15,11/41) Hyperbolic Matrix(2089,396,2664,505) (-4/21,-7/37) -> (29/37,40/51) Hyperbolic Matrix(467,88,1332,251) (-7/37,-3/16) -> (7/20,13/37) Hyperbolic Matrix(323,60,576,107) (-3/16,-2/11) -> (14/25,9/16) Hyperbolic Matrix(35,6,-216,-37) (-3/17,-1/6) -> (-1/6,-3/19) Parabolic Matrix(109,16,252,37) (-2/13,-1/7) -> (3/7,10/23) Hyperbolic Matrix(109,14,288,37) (-1/7,-1/8) -> (3/8,11/29) Hyperbolic Matrix(253,26,360,37) (-1/9,0/1) -> (26/37,19/27) Hyperbolic Matrix(181,-22,288,-35) (0/1,1/8) -> (5/8,22/35) Hyperbolic Matrix(359,-56,468,-73) (2/13,1/6) -> (23/30,10/13) Hyperbolic Matrix(145,-26,396,-71) (1/6,2/11) -> (4/11,11/30) Hyperbolic Matrix(107,-22,180,-37) (1/5,3/14) -> (13/22,3/5) Hyperbolic Matrix(73,-16,324,-71) (3/14,2/9) -> (2/9,5/22) Parabolic Matrix(2053,-468,3312,-755) (5/22,8/35) -> (44/71,31/50) Hyperbolic Matrix(505,-116,936,-215) (8/35,3/13) -> (7/13,20/37) Hyperbolic Matrix(395,-92,468,-109) (3/13,4/17) -> (16/19,11/13) Hyperbolic Matrix(467,-124,1224,-325) (5/19,4/15) -> (8/21,21/55) Hyperbolic Matrix(2053,-552,2808,-755) (11/41,7/26) -> (19/26,49/67) Hyperbolic Matrix(361,-98,792,-215) (10/37,3/11) -> (5/11,16/35) Hyperbolic Matrix(251,-76,360,-109) (3/10,4/13) -> (16/23,7/10) Hyperbolic Matrix(37,-12,108,-35) (5/16,1/3) -> (1/3,7/20) Parabolic Matrix(323,-116,504,-181) (5/14,4/11) -> (16/25,9/14) Hyperbolic Matrix(827,-304,1080,-397) (11/30,7/19) -> (13/17,23/30) Hyperbolic Matrix(253,-94,288,-107) (10/27,3/8) -> (7/8,8/9) Hyperbolic Matrix(3349,-1272,5400,-2051) (11/29,19/50) -> (31/50,49/79) Hyperbolic Matrix(2231,-848,2844,-1081) (19/50,8/21) -> (40/51,11/14) Hyperbolic Matrix(2701,-1032,3672,-1403) (21/55,13/34) -> (25/34,39/53) Hyperbolic Matrix(143,-58,180,-73) (2/5,7/17) -> (15/19,4/5) Hyperbolic Matrix(145,-64,324,-143) (7/16,4/9) -> (4/9,9/20) Parabolic Matrix(1043,-480,1332,-613) (11/24,6/13) -> (18/23,47/60) Hyperbolic Matrix(577,-314,792,-431) (13/24,6/11) -> (8/11,35/48) Hyperbolic Matrix(181,-100,324,-179) (6/11,5/9) -> (5/9,14/25) Parabolic Matrix(899,-556,1224,-757) (21/34,13/21) -> (11/15,25/34) Hyperbolic Matrix(325,-206,396,-251) (12/19,7/11) -> (9/11,14/17) Hyperbolic Matrix(73,-48,108,-71) (11/17,2/3) -> (2/3,13/19) Parabolic Matrix(253,-196,324,-251) (10/13,7/9) -> (7/9,18/23) Parabolic Matrix(181,-150,216,-179) (14/17,5/6) -> (5/6,16/19) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-4,1) Matrix(107,94,-288,-253) -> Matrix(1,3,-4,-11) Matrix(179,156,288,251) -> Matrix(3,5,-8,-13) Matrix(143,122,252,215) -> Matrix(3,2,-8,-5) Matrix(109,92,-468,-395) -> Matrix(1,-1,0,1) Matrix(251,206,-396,-325) -> Matrix(3,7,-4,-9) Matrix(179,146,396,323) -> Matrix(3,5,-8,-13) Matrix(791,642,1152,935) -> Matrix(1,2,-4,-7) Matrix(1405,1138,2268,1837) -> Matrix(3,5,-8,-13) Matrix(685,554,936,757) -> Matrix(1,1,0,1) Matrix(73,58,-180,-143) -> Matrix(1,0,0,1) Matrix(251,196,-324,-253) -> Matrix(1,-3,0,1) Matrix(1259,972,-3312,-2557) -> Matrix(3,5,-8,-13) Matrix(431,332,-936,-721) -> Matrix(1,2,0,1) Matrix(73,56,-468,-359) -> Matrix(1,2,-4,-7) Matrix(37,28,144,109) -> Matrix(1,1,0,1) Matrix(35,26,144,107) -> Matrix(1,1,-4,-3) Matrix(757,556,-1224,-899) -> Matrix(3,1,-4,-1) Matrix(757,554,936,685) -> Matrix(5,1,-16,-3) Matrix(755,552,-2808,-2053) -> Matrix(3,-1,-8,3) Matrix(397,290,1332,973) -> Matrix(1,-1,-4,5) Matrix(431,314,-792,-577) -> Matrix(1,0,0,1) Matrix(287,208,396,287) -> Matrix(1,0,-4,1) Matrix(181,130,252,181) -> Matrix(1,3,-4,-11) Matrix(107,76,252,179) -> Matrix(1,1,0,1) Matrix(613,432,972,685) -> Matrix(3,5,-8,-13) Matrix(1223,860,1944,1367) -> Matrix(1,2,-4,-7) Matrix(359,252,1332,935) -> Matrix(3,4,-4,-5) Matrix(109,76,-360,-251) -> Matrix(1,1,4,5) Matrix(325,224,576,397) -> Matrix(5,3,-12,-7) Matrix(71,48,-108,-73) -> Matrix(1,0,0,1) Matrix(1081,702,1332,865) -> Matrix(1,2,-4,-7) Matrix(2665,1728,3888,2521) -> Matrix(3,2,-8,-5) Matrix(1331,862,1944,1259) -> Matrix(1,1,-4,-3) Matrix(397,256,504,325) -> Matrix(1,1,-4,-3) Matrix(181,116,-504,-323) -> Matrix(1,1,4,5) Matrix(253,160,-1080,-683) -> Matrix(1,1,-4,-3) Matrix(685,432,972,613) -> Matrix(7,5,-24,-17) Matrix(35,22,-288,-181) -> Matrix(1,1,-4,-3) Matrix(251,156,288,179) -> Matrix(7,5,-24,-17) Matrix(2051,1272,-5400,-3349) -> Matrix(17,11,-48,-31) Matrix(613,380,-2844,-1763) -> Matrix(5,3,-12,-7) Matrix(971,600,-3672,-2269) -> Matrix(5,3,-12,-7) Matrix(217,134,468,289) -> Matrix(3,2,-8,-5) Matrix(287,176,468,287) -> Matrix(7,4,-16,-9) Matrix(109,66,180,109) -> Matrix(1,1,-4,-3) Matrix(37,22,-180,-107) -> Matrix(1,1,-4,-3) Matrix(181,106,432,253) -> Matrix(1,1,0,1) Matrix(179,104,432,251) -> Matrix(1,1,-8,-7) Matrix(73,42,252,145) -> Matrix(3,2,-8,-5) Matrix(215,122,252,143) -> Matrix(3,2,-8,-5) Matrix(397,224,576,325) -> Matrix(5,3,-12,-7) Matrix(179,100,-324,-181) -> Matrix(5,3,-12,-7) Matrix(73,40,396,217) -> Matrix(1,0,0,1) Matrix(2341,1270,2988,1621) -> Matrix(1,1,-4,-3) Matrix(289,156,-1332,-719) -> Matrix(3,2,-8,-5) Matrix(179,96,468,251) -> Matrix(3,1,-4,-1) Matrix(289,134,468,217) -> Matrix(3,2,-8,-5) Matrix(1943,892,2664,1223) -> Matrix(1,2,-4,-7) Matrix(215,98,-792,-361) -> Matrix(3,2,-8,-5) Matrix(143,64,-324,-145) -> Matrix(7,4,-16,-9) Matrix(469,206,576,253) -> Matrix(17,7,-56,-23) Matrix(179,78,576,251) -> Matrix(3,1,8,3) Matrix(37,16,252,109) -> Matrix(3,1,-4,-1) Matrix(179,76,252,107) -> Matrix(5,1,-16,-3) Matrix(253,106,432,181) -> Matrix(5,1,-16,-3) Matrix(251,104,432,179) -> Matrix(3,-1,-8,3) Matrix(395,162,612,251) -> Matrix(1,1,-4,-3) Matrix(71,28,180,71) -> Matrix(3,2,-8,-5) Matrix(181,70,468,181) -> Matrix(11,5,-20,-9) Matrix(251,96,468,179) -> Matrix(3,1,-4,-1) Matrix(325,124,-1224,-467) -> Matrix(3,1,-4,-1) Matrix(431,164,2268,863) -> Matrix(5,2,-28,-11) Matrix(7237,2748,11664,4429) -> Matrix(73,25,-184,-63) Matrix(7235,2746,11664,4427) -> Matrix(47,15,-116,-37) Matrix(37,14,288,109) -> Matrix(3,1,-4,-1) Matrix(577,214,1944,721) -> Matrix(15,4,-64,-17) Matrix(287,106,972,359) -> Matrix(9,2,-32,-7) Matrix(71,26,-396,-145) -> Matrix(1,0,4,1) Matrix(829,300,1296,469) -> Matrix(21,1,-64,-3) Matrix(827,298,1296,467) -> Matrix(19,-1,-56,3) Matrix(361,128,612,217) -> Matrix(1,0,-4,1) Matrix(35,12,-108,-37) -> Matrix(1,1,-4,-3) Matrix(685,216,1944,613) -> Matrix(19,5,-80,-21) Matrix(1367,430,3888,1223) -> Matrix(41,10,-160,-39) Matrix(217,68,1152,361) -> Matrix(9,2,-32,-7) Matrix(251,78,576,179) -> Matrix(7,1,-8,-1) Matrix(901,276,1296,397) -> Matrix(25,1,-76,-3) Matrix(899,274,1296,395) -> Matrix(19,-1,-56,3) Matrix(973,290,1332,397) -> Matrix(1,-1,-4,5) Matrix(323,96,360,107) -> Matrix(1,-1,-4,5) Matrix(359,106,972,287) -> Matrix(1,2,0,1) Matrix(145,42,252,73) -> Matrix(3,2,-8,-5) Matrix(71,20,252,71) -> Matrix(3,2,-8,-5) Matrix(109,30,396,109) -> Matrix(7,3,-12,-5) Matrix(1441,390,2664,721) -> Matrix(1,0,0,1) Matrix(935,252,1332,359) -> Matrix(11,4,-36,-13) Matrix(8533,2292,11664,3133) -> Matrix(3,1,32,11) Matrix(8531,2290,11664,3131) -> Matrix(3,1,-52,-17) Matrix(179,48,936,251) -> Matrix(3,1,-16,-5) Matrix(3817,1008,5184,1369) -> Matrix(11,4,-36,-13) Matrix(3815,1006,5184,1367) -> Matrix(13,4,-36,-11) Matrix(109,28,144,37) -> Matrix(5,1,-16,-3) Matrix(107,26,144,35) -> Matrix(1,1,-4,-3) Matrix(71,16,-324,-73) -> Matrix(3,2,-8,-5) Matrix(1367,296,2988,647) -> Matrix(1,0,0,1) Matrix(2159,466,2664,575) -> Matrix(11,4,-36,-13) Matrix(179,38,504,107) -> Matrix(3,1,-16,-5) Matrix(251,48,936,179) -> Matrix(1,-1,0,1) Matrix(2089,396,2664,505) -> Matrix(1,-2,-4,9) Matrix(467,88,1332,251) -> Matrix(1,3,-4,-11) Matrix(323,60,576,107) -> Matrix(5,3,-12,-7) Matrix(35,6,-216,-37) -> Matrix(1,1,-4,-3) Matrix(109,16,252,37) -> Matrix(3,1,-4,-1) Matrix(109,14,288,37) -> Matrix(3,1,-4,-1) Matrix(253,26,360,37) -> Matrix(5,1,-16,-3) Matrix(181,-22,288,-35) -> Matrix(1,1,-4,-3) Matrix(359,-56,468,-73) -> Matrix(1,2,-4,-7) Matrix(145,-26,396,-71) -> Matrix(1,0,4,1) Matrix(107,-22,180,-37) -> Matrix(1,1,-4,-3) Matrix(73,-16,324,-71) -> Matrix(3,2,-8,-5) Matrix(2053,-468,3312,-755) -> Matrix(1,1,-4,-3) Matrix(505,-116,936,-215) -> Matrix(1,0,0,1) Matrix(395,-92,468,-109) -> Matrix(3,1,-16,-5) Matrix(467,-124,1224,-325) -> Matrix(3,1,-4,-1) Matrix(2053,-552,2808,-755) -> Matrix(1,1,-8,-7) Matrix(361,-98,792,-215) -> Matrix(3,2,-8,-5) Matrix(251,-76,360,-109) -> Matrix(9,1,-28,-3) Matrix(37,-12,108,-35) -> Matrix(1,1,-4,-3) Matrix(323,-116,504,-181) -> Matrix(9,1,-28,-3) Matrix(827,-304,1080,-397) -> Matrix(1,1,-4,-3) Matrix(253,-94,288,-107) -> Matrix(1,3,-4,-11) Matrix(3349,-1272,5400,-2051) -> Matrix(13,11,-32,-27) Matrix(2231,-848,2844,-1081) -> Matrix(5,4,-24,-19) Matrix(2701,-1032,3672,-1403) -> Matrix(5,3,-12,-7) Matrix(143,-58,180,-73) -> Matrix(1,0,0,1) Matrix(145,-64,324,-143) -> Matrix(7,4,-16,-9) Matrix(1043,-480,1332,-613) -> Matrix(3,1,-16,-5) Matrix(577,-314,792,-431) -> Matrix(1,0,0,1) Matrix(181,-100,324,-179) -> Matrix(5,3,-12,-7) Matrix(899,-556,1224,-757) -> Matrix(3,1,-4,-1) Matrix(325,-206,396,-251) -> Matrix(19,7,-68,-25) Matrix(73,-48,108,-71) -> Matrix(1,0,0,1) Matrix(253,-196,324,-251) -> Matrix(11,3,-48,-13) Matrix(181,-150,216,-179) -> Matrix(11,3,-48,-13) 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): 48 Imminent integer overflow caused the modular group computation to abort.