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 -5/6 -7/9 -13/18 -2/3 -35/54 -11/18 -17/30 -5/9 -1/2 -17/36 -7/15 -11/24 -65/144 -4/9 -61/144 -5/12 -59/144 -7/18 -41/108 -11/30 -13/36 -1/3 -17/54 -11/36 -3/10 -7/24 -5/18 -109/396 -7/26 -29/108 -4/15 -9/34 -19/72 -1/4 -7/30 -5/22 -2/9 -7/32 -13/60 -31/144 -3/14 -5/24 -3/16 -5/28 -1/6 -5/32 -3/20 -1/8 -1/9 0/1 1/8 1/7 3/20 2/13 1/6 3/17 5/28 2/11 3/16 1/5 3/14 13/60 2/9 5/22 3/13 4/17 1/4 4/15 7/26 3/11 5/18 2/7 8/27 3/10 17/54 1/3 11/30 13/34 7/18 2/5 5/12 4/9 11/24 7/15 1/2 5/9 11/18 17/27 35/54 2/3 13/18 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 1/34 -7/8 2/59 -6/7 3/86 -17/20 4/115 2/57 -11/13 5/142 -5/6 1/28 -19/23 1/30 -14/17 1/28 -23/28 4/111 2/55 -32/39 3/83 -9/11 3/82 -13/16 0/1 -30/37 9/250 -17/21 1/27 -4/5 1/26 -15/19 1/26 -11/14 1/25 -51/65 1/38 -40/51 1/29 -29/37 5/138 -47/60 1/27 -18/23 3/80 -25/32 0/1 -7/9 1/26 -17/22 1/25 -27/35 3/70 -10/13 1/26 -13/17 1/26 -3/4 0/1 2/51 -14/19 1/26 -11/15 1/25 -30/41 3/76 -19/26 1/25 -27/37 3/68 -8/11 1/26 -13/18 1/25 -18/25 1/24 -41/57 3/73 -23/32 0/1 -5/7 1/26 -27/38 1/25 -22/31 3/74 -17/24 2/49 -12/17 1/24 -31/44 0/1 2/49 -50/71 13/316 -19/27 1/24 -26/37 7/164 -33/47 1/22 -7/10 1/25 -9/13 1/24 -11/16 0/1 -24/35 9/218 -37/54 1/24 -13/19 1/24 -2/3 1/23 -15/23 9/202 -13/20 2/45 4/89 -24/37 15/332 -35/54 1/22 -11/17 1/22 -9/14 3/67 -7/11 1/22 -26/41 7/150 -45/71 5/104 -19/30 1/22 -12/19 1/22 -17/27 1/22 -5/8 2/43 -18/29 7/148 -31/50 1/21 -13/21 1/21 -34/55 3/64 -21/34 1/21 -29/47 3/64 -37/60 1/21 -8/13 3/64 -11/18 1/21 -14/23 7/146 -17/28 4/83 2/41 -20/33 1/21 -3/5 3/62 -13/22 3/61 -36/61 17/344 -23/39 5/101 -10/17 1/20 -7/12 1/20 -11/19 1/20 -15/26 5/99 -34/59 23/454 -19/33 3/59 -4/7 5/98 -21/37 27/524 -17/30 3/58 -13/23 3/58 -9/16 4/77 -14/25 7/134 -19/34 1/19 -5/9 1/19 -21/38 1/19 -16/29 5/94 -11/20 6/113 4/75 -28/51 9/169 -45/82 25/469 -17/31 19/356 -6/11 3/56 -19/35 29/538 -13/24 2/37 -7/13 5/92 -8/15 5/91 -9/17 1/18 -1/2 1/17 -9/19 1/16 -17/36 1/16 -8/17 1/16 -7/15 5/79 -20/43 31/488 -13/28 4/63 10/157 -6/13 5/78 -17/37 31/482 -11/24 2/31 -5/11 3/46 -14/31 19/290 -65/144 4/61 -51/113 69/1052 -37/82 25/381 -23/51 9/137 -9/20 4/61 6/91 -13/29 5/76 -4/9 1/15 -19/43 9/134 -15/34 1/15 -11/25 7/104 -7/16 4/59 -10/23 3/44 -13/30 3/44 -16/37 27/394 -19/44 16/233 2/29 -3/7 5/72 -17/40 2/29 -31/73 29/416 -14/33 3/43 -25/59 23/328 -61/144 4/57 -36/85 33/470 -11/26 5/71 -19/45 1/14 -8/19 1/14 -5/12 1/14 -7/17 1/14 -16/39 5/69 -25/61 17/234 -59/144 4/55 -34/83 23/316 -9/22 3/41 -11/27 1/14 -13/32 4/55 -15/37 23/314 -2/5 3/40 -7/18 1/13 -12/31 7/90 -41/106 1/13 -29/75 1/13 -17/44 8/103 6/77 -39/101 43/552 -22/57 11/141 -5/13 3/38 -23/60 1/13 -18/47 3/38 -13/34 1/13 -8/21 1/13 -27/71 3/34 -19/50 1/13 -30/79 9/118 -41/108 1/13 -11/29 7/90 -3/8 2/25 -13/35 17/208 -10/27 1/12 -27/73 3/32 -17/46 1/13 -7/19 1/12 -18/49 1/12 -11/30 1/12 -26/71 5/66 -15/41 7/88 -4/11 1/12 -13/36 1/12 -9/25 1/12 -5/14 3/35 -6/17 1/12 -19/54 1/12 -13/37 15/178 -20/57 5/59 -7/20 4/47 2/23 -1/3 1/11 -6/19 1/10 -17/54 1/10 -11/35 9/88 -5/16 0/1 -4/13 1/10 -11/36 1/10 -7/23 1/10 -3/10 1/9 -17/57 1/13 -14/47 1/12 -25/84 1/11 -11/37 7/74 -8/27 1/10 -21/71 13/126 -34/115 13/124 -13/44 0/1 2/19 -5/17 1/10 -12/41 1/10 -7/24 2/19 -9/31 3/28 -20/69 1/9 -31/107 17/154 -11/38 1/9 -2/7 1/8 -5/18 1/9 -8/29 3/26 -19/69 1/9 -49/178 1/9 -79/287 21/190 -109/396 1/9 -30/109 11/98 -11/40 2/17 -14/51 1/7 -17/62 1/11 -3/11 1/8 -13/48 0/1 -10/37 3/34 -17/63 1/10 -7/26 1/9 -18/67 5/46 -29/108 1/9 -11/41 3/26 -4/15 1/9 -9/34 1/9 -14/53 3/26 -19/72 2/17 -5/19 1/8 -1/4 0/1 2/17 -4/17 1/8 -7/30 1/8 -3/13 1/8 -11/48 0/1 -8/35 3/32 -21/92 4/39 2/19 -13/57 1/9 -5/22 1/9 -7/31 1/6 -2/9 1/8 -9/41 5/38 -16/73 9/64 -7/32 0/1 -19/87 3/25 -12/55 1/8 -5/23 3/22 -13/60 1/7 -21/97 5/34 -8/37 5/32 -11/51 1/5 -14/65 -1/4 -31/144 0/1 -17/79 1/22 -3/14 1/9 -4/19 1/8 -5/24 2/15 -1/5 1/8 -4/21 1/7 -7/37 9/56 -3/16 0/1 -2/11 3/20 -7/39 3/19 -5/28 2/13 4/25 -3/17 1/6 -1/6 1/6 -3/19 1/6 -8/51 7/41 -5/32 4/23 -2/13 5/28 -5/33 5/27 -3/20 2/11 4/21 -1/7 3/16 -1/8 2/9 -1/9 1/4 0/1 1/0 1/8 -2/9 1/7 -3/16 3/20 -4/21 -2/11 2/13 -5/28 1/6 -1/6 4/23 -1/4 3/17 -1/6 5/28 -4/25 -2/13 7/39 -3/19 2/11 -3/20 3/16 0/1 7/37 -9/56 4/21 -1/7 1/5 -1/8 4/19 -1/8 3/14 -1/9 14/65 1/4 11/51 -1/5 8/37 -5/32 13/60 -1/7 5/23 -3/22 7/32 0/1 2/9 -1/8 5/22 -1/9 8/35 -3/32 3/13 -1/8 4/17 -1/8 1/4 -2/17 0/1 5/19 -1/8 4/15 -1/9 11/41 -3/26 7/26 -1/9 10/37 -3/34 3/11 -1/8 5/18 -1/9 7/25 -1/10 16/57 -3/29 9/32 0/1 2/7 -1/8 11/38 -1/9 9/31 -3/28 7/24 -2/19 5/17 -1/10 13/44 -2/19 0/1 21/71 -13/126 8/27 -1/10 11/37 -7/74 14/47 -1/12 3/10 -1/9 4/13 -1/10 5/16 0/1 11/35 -9/88 17/54 -1/10 6/19 -1/10 1/3 -1/11 8/23 -9/104 7/20 -2/23 -4/47 13/37 -15/178 19/54 -1/12 6/17 -1/12 5/14 -3/35 4/11 -1/12 15/41 -7/88 26/71 -5/66 11/30 -1/12 7/19 -1/12 10/27 -1/12 3/8 -2/25 11/29 -7/90 19/50 -1/13 8/21 -1/13 21/55 -3/38 13/34 -1/13 18/47 -3/38 23/60 -1/13 5/13 -3/38 7/18 -1/13 9/23 -7/92 11/28 -4/53 -2/27 13/33 -1/13 2/5 -3/40 9/22 -3/41 25/61 -17/234 16/39 -5/69 7/17 -1/14 5/12 -1/14 8/19 -1/14 11/26 -5/71 25/59 -23/328 14/33 -3/43 3/7 -5/72 16/37 -27/394 13/30 -3/44 10/23 -3/44 7/16 -4/59 11/25 -7/104 15/34 -1/15 4/9 -1/15 17/38 -1/15 13/29 -5/76 9/20 -6/91 -4/61 23/51 -9/137 37/82 -25/381 14/31 -19/290 5/11 -3/46 16/35 -29/448 11/24 -2/31 6/13 -5/78 7/15 -5/79 8/17 -1/16 1/2 -1/17 10/19 -1/18 19/36 -1/18 9/17 -1/18 8/15 -5/91 23/43 -31/566 15/28 -4/73 -10/183 7/13 -5/92 20/37 -31/572 13/24 -2/37 6/11 -3/56 17/31 -19/356 79/144 -4/75 62/113 -69/1294 45/82 -25/469 28/51 -9/169 11/20 -4/75 -6/113 16/29 -5/94 5/9 -1/19 24/43 -9/172 19/34 -1/19 14/25 -7/134 9/16 -4/77 13/23 -3/58 17/30 -3/58 21/37 -27/524 25/44 -16/311 -2/39 4/7 -5/98 23/40 -2/39 42/73 -29/570 19/33 -3/59 34/59 -23/454 83/144 -4/79 49/85 -33/652 15/26 -5/99 26/45 -1/20 11/19 -1/20 7/12 -1/20 10/17 -1/20 23/39 -5/101 36/61 -17/344 85/144 -4/81 49/83 -23/466 13/22 -3/61 16/27 -1/20 19/32 -4/81 22/37 -23/468 3/5 -3/62 11/18 -1/21 19/31 -7/148 65/106 -1/21 46/75 -1/21 27/44 -8/169 -6/127 62/101 -43/910 35/57 -11/233 8/13 -3/64 37/60 -1/21 29/47 -3/64 21/34 -1/21 13/21 -1/21 44/71 -3/68 31/50 -1/21 49/79 -9/188 67/108 -1/21 18/29 -7/148 5/8 -2/43 22/35 -17/370 17/27 -1/22 46/73 -3/70 29/46 -1/21 12/19 -1/22 31/49 -1/22 19/30 -1/22 45/71 -5/104 26/41 -7/150 7/11 -1/22 23/36 -1/22 16/25 -1/22 9/14 -3/67 11/17 -1/22 35/54 -1/22 24/37 -15/332 37/57 -5/111 13/20 -4/89 -2/45 2/3 -1/23 13/19 -1/24 37/54 -1/24 24/35 -9/218 11/16 0/1 9/13 -1/24 25/36 -1/24 16/23 -1/24 7/10 -1/25 40/57 -1/21 33/47 -1/22 59/84 -1/23 26/37 -7/164 19/27 -1/24 50/71 -13/316 81/115 -13/318 31/44 -2/49 0/1 12/17 -1/24 29/41 -1/24 17/24 -2/49 22/31 -3/74 49/69 -1/25 76/107 -17/424 27/38 -1/25 5/7 -1/26 13/18 -1/25 21/29 -3/76 50/69 -1/25 129/178 -1/25 208/287 -21/524 287/396 -1/25 79/109 -11/276 29/40 -2/51 37/51 -1/27 45/62 -1/23 8/11 -1/26 35/48 0/1 27/37 -3/68 46/63 -1/24 19/26 -1/25 49/67 -5/124 79/108 -1/25 30/41 -3/76 11/15 -1/25 25/34 -1/25 39/53 -3/76 53/72 -2/51 14/19 -1/26 3/4 -2/51 0/1 13/17 -1/26 23/30 -1/26 10/13 -1/26 37/48 0/1 27/35 -3/70 71/92 -4/97 -2/49 44/57 -1/25 17/22 -1/25 24/31 -1/28 7/9 -1/26 32/41 -5/132 57/73 -9/242 25/32 0/1 68/87 -3/77 43/55 -1/26 18/23 -3/80 47/60 -1/27 76/97 -5/136 29/37 -5/138 40/51 -1/29 51/65 -1/38 113/144 0/1 62/79 -1/12 11/14 -1/25 15/19 -1/26 19/24 -2/53 4/5 -1/26 17/21 -1/27 30/37 -9/250 13/16 0/1 9/11 -3/82 32/39 -3/83 23/28 -2/55 -4/111 14/17 -1/28 5/6 -1/28 16/19 -1/28 43/51 -7/197 27/32 -4/113 11/13 -5/142 28/33 -5/143 17/20 -2/57 -4/115 6/7 -3/86 7/8 -2/59 8/9 -1/30 1/1 -1/34 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(397,338,720,613) (-6/7,-17/20) -> (11/20,16/29) Hyperbolic Matrix(469,398,-720,-611) (-17/20,-11/13) -> (-15/23,-13/20) Hyperbolic Matrix(179,150,-216,-181) (-11/13,-5/6) -> (-5/6,-19/23) Parabolic Matrix(361,298,-1656,-1367) (-19/23,-14/17) -> (-12/55,-5/23) Hyperbolic Matrix(863,710,1224,1007) (-14/17,-23/28) -> (31/44,12/17) Hyperbolic Matrix(2341,1922,3816,3133) (-23/28,-32/39) -> (46/75,27/44) Hyperbolic Matrix(1151,944,2808,2303) (-32/39,-9/11) -> (25/61,16/39) Hyperbolic Matrix(253,206,576,469) (-9/11,-13/16) -> (7/16,11/25) Hyperbolic Matrix(791,642,1152,935) (-13/16,-30/37) -> (24/35,11/16) Hyperbolic Matrix(575,466,2664,2159) (-30/37,-17/21) -> (11/51,8/37) Hyperbolic Matrix(685,554,936,757) (-17/21,-4/5) -> (30/41,11/15) Hyperbolic Matrix(253,200,-864,-683) (-4/5,-15/19) -> (-5/17,-12/41) Hyperbolic Matrix(325,256,504,397) (-15/19,-11/14) -> (9/14,11/17) Hyperbolic Matrix(433,340,-2016,-1583) (-11/14,-51/65) -> (-17/79,-3/14) Hyperbolic Matrix(1693,1328,3168,2485) (-51/65,-40/51) -> (8/15,23/43) Hyperbolic Matrix(505,396,2664,2089) (-40/51,-29/37) -> (7/37,4/21) Hyperbolic Matrix(1585,1242,-5328,-4175) (-29/37,-47/60) -> (-25/84,-11/37) Hyperbolic Matrix(1331,1042,2160,1691) (-47/60,-18/23) -> (8/13,37/60) Hyperbolic Matrix(179,140,-1152,-901) (-18/23,-25/32) -> (-5/32,-2/13) Hyperbolic Matrix(469,366,-1152,-899) (-25/32,-7/9) -> (-11/27,-13/32) Hyperbolic Matrix(323,250,-792,-613) (-7/9,-17/22) -> (-9/22,-11/27) Hyperbolic 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(397,304,-1080,-827) (-10/13,-13/17) -> (-7/19,-18/49) 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(1331,972,-3600,-2629) (-19/26,-27/37) -> (-27/73,-17/46) Hyperbolic Matrix(431,314,-792,-577) (-27/37,-8/11) -> (-6/11,-19/35) Hyperbolic Matrix(467,338,-648,-469) (-8/11,-13/18) -> (-13/18,-18/25) Parabolic Matrix(1223,880,-4104,-2953) (-18/25,-41/57) -> (-17/57,-14/47) Hyperbolic Matrix(1007,724,-4608,-3313) (-41/57,-23/32) -> (-7/32,-19/87) Hyperbolic Matrix(215,154,-504,-361) (-23/32,-5/7) -> (-3/7,-17/40) Hyperbolic Matrix(613,436,1368,973) (-5/7,-27/38) -> (17/38,13/29) Hyperbolic Matrix(1727,1226,-4464,-3169) (-27/38,-22/31) -> (-12/31,-41/106) Hyperbolic Matrix(685,486,864,613) (-22/31,-17/24) -> (19/24,4/5) Hyperbolic Matrix(181,128,-864,-611) (-17/24,-12/17) -> (-4/19,-5/24) Hyperbolic Matrix(1007,710,1224,863) (-12/17,-31/44) -> (23/28,14/17) Hyperbolic Matrix(2053,1446,-4752,-3347) (-31/44,-50/71) -> (-16/37,-19/44) Hyperbolic Matrix(2449,1724,3888,2737) (-50/71,-19/27) -> (17/27,46/73) Hyperbolic Matrix(1223,860,1944,1367) (-19/27,-26/37) -> (22/35,17/27) Hyperbolic Matrix(1153,810,-5328,-3743) (-26/37,-33/47) -> (-21/97,-8/37) Hyperbolic Matrix(829,582,-3024,-2123) (-33/47,-7/10) -> (-17/62,-3/11) 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(935,642,1152,791) (-11/16,-24/35) -> (30/37,13/16) Hyperbolic Matrix(2521,1728,3888,2665) (-24/35,-37/54) -> (35/54,24/37) Hyperbolic Matrix(1259,862,1944,1331) (-37/54,-13/19) -> (11/17,35/54) Hyperbolic Matrix(325,222,792,541) (-13/19,-2/3) -> (16/39,7/17) Hyperbolic Matrix(397,260,936,613) (-2/3,-15/23) -> (25/59,14/33) Hyperbolic Matrix(937,608,-4104,-2663) (-13/20,-24/37) -> (-8/35,-21/92) 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(359,228,792,503) (-7/11,-26/41) -> (14/31,5/11) Hyperbolic Matrix(757,480,-1872,-1187) (-26/41,-45/71) -> (-15/37,-2/5) Hyperbolic Matrix(1837,1164,3240,2053) (-45/71,-19/30) -> (17/30,21/37) Hyperbolic Matrix(253,160,-1080,-683) (-19/30,-12/19) -> (-4/17,-7/30) Hyperbolic Matrix(577,364,-1368,-863) (-12/19,-17/27) -> (-19/45,-8/19) 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(755,468,-3312,-2053) (-31/50,-13/21) -> (-13/57,-5/22) Hyperbolic Matrix(971,600,-3672,-2269) (-34/55,-21/34) -> (-9/34,-14/53) Hyperbolic Matrix(1079,666,2448,1511) (-21/34,-29/47) -> (11/25,15/34) Hyperbolic Matrix(1871,1154,-8640,-5329) (-29/47,-37/60) -> (-13/60,-21/97) Hyperbolic Matrix(1691,1042,2160,1331) (-37/60,-8/13) -> (18/23,47/60) Hyperbolic Matrix(395,242,-648,-397) (-8/13,-11/18) -> (-11/18,-14/23) Parabolic Matrix(467,284,-1008,-613) (-14/23,-17/28) -> (-13/28,-6/13) Hyperbolic Matrix(1655,1004,2016,1223) (-17/28,-20/33) -> (32/39,23/28) Hyperbolic Matrix(397,240,-1368,-827) (-20/33,-3/5) -> (-9/31,-20/69) Hyperbolic Matrix(179,106,-792,-469) (-3/5,-13/22) -> (-5/22,-7/31) Hyperbolic Matrix(1297,766,-3168,-1871) (-13/22,-36/61) -> (-34/83,-9/22) Hyperbolic Matrix(505,298,2808,1657) (-36/61,-23/39) -> (7/39,2/11) Hyperbolic Matrix(251,148,792,467) (-23/39,-10/17) -> (6/19,1/3) 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(505,292,-1368,-791) (-11/19,-15/26) -> (-17/46,-7/19) Hyperbolic Matrix(1585,914,-3744,-2159) (-15/26,-34/59) -> (-36/85,-11/26) Hyperbolic Matrix(323,186,936,539) (-34/59,-19/33) -> (1/3,8/23) Hyperbolic Matrix(397,228,-1440,-827) (-19/33,-4/7) -> (-8/29,-19/69) Hyperbolic Matrix(1405,798,-4752,-2699) (-4/7,-21/37) -> (-21/71,-34/115) Hyperbolic Matrix(2053,1164,3240,1837) (-21/37,-17/30) -> (19/30,45/71) Hyperbolic Matrix(1367,774,2160,1223) (-17/30,-13/23) -> (31/49,19/30) Hyperbolic Matrix(397,224,576,325) (-13/23,-9/16) -> (11/16,9/13) Hyperbolic Matrix(107,60,576,323) (-9/16,-14/25) -> (2/11,3/16) 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(395,218,1368,755) (-21/38,-16/29) -> (2/7,11/38) Hyperbolic Matrix(613,338,720,397) (-16/29,-11/20) -> (17/20,6/7) Hyperbolic Matrix(757,416,-2160,-1187) (-11/20,-28/51) -> (-20/57,-7/20) Hyperbolic Matrix(3637,1996,5184,2845) (-28/51,-45/82) -> (7/10,40/57) Hyperbolic Matrix(5329,2924,-11808,-6479) (-45/82,-17/31) -> (-51/113,-37/82) Hyperbolic Matrix(289,158,792,433) (-17/31,-6/11) -> (4/11,15/41) Hyperbolic Matrix(1943,1054,2520,1367) (-19/35,-13/24) -> (37/48,27/35) Hyperbolic Matrix(215,116,-936,-505) (-13/24,-7/13) -> (-3/13,-11/48) Hyperbolic Matrix(361,194,-936,-503) (-7/13,-8/15) -> (-22/57,-5/13) Hyperbolic Matrix(181,96,-1152,-611) (-8/15,-9/17) -> (-3/19,-8/51) Hyperbolic Matrix(35,18,-72,-37) (-9/17,-1/2) -> (-1/2,-9/19) Parabolic Matrix(685,324,1296,613) (-9/19,-17/36) -> (19/36,9/17) Hyperbolic Matrix(683,322,1296,611) (-17/36,-8/17) -> (10/19,19/36) Hyperbolic Matrix(503,236,-2304,-1081) (-8/17,-7/15) -> (-19/87,-12/55) Hyperbolic Matrix(683,318,3168,1475) (-7/15,-20/43) -> (14/65,11/51) Hyperbolic Matrix(1187,552,2088,971) (-20/43,-13/28) -> (25/44,4/7) 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(503,228,792,359) (-5/11,-14/31) -> (26/41,7/11) Hyperbolic Matrix(11377,5136,20736,9361) (-14/31,-65/144) -> (79/144,62/113) Hyperbolic Matrix(11375,5134,20736,9359) (-65/144,-51/113) -> (17/31,79/144) Hyperbolic Matrix(5329,2404,7344,3313) (-37/82,-23/51) -> (37/51,45/62) Hyperbolic Matrix(1331,600,-5832,-2629) (-23/51,-9/20) -> (-21/92,-13/57) Hyperbolic Matrix(107,48,720,323) (-9/20,-13/29) -> (1/7,3/20) Hyperbolic Matrix(287,128,-648,-289) (-13/29,-4/9) -> (-4/9,-19/43) Parabolic Matrix(1331,588,1872,827) (-19/43,-15/34) -> (27/38,5/7) Hyperbolic Matrix(1511,666,2448,1079) (-15/34,-11/25) -> (29/47,21/34) Hyperbolic 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(829,360,1080,469) (-10/23,-13/30) -> (23/30,10/13) Hyperbolic Matrix(1187,514,3240,1403) (-13/30,-16/37) -> (26/71,11/30) Hyperbolic Matrix(1117,482,2088,901) (-19/44,-3/7) -> (23/43,15/28) Hyperbolic Matrix(4105,1744,5256,2233) (-17/40,-31/73) -> (57/73,25/32) Hyperbolic Matrix(2483,1054,-8568,-3637) (-31/73,-14/33) -> (-20/69,-31/107) Hyperbolic Matrix(2015,854,2376,1007) (-14/33,-25/59) -> (11/13,28/33) Hyperbolic Matrix(11953,5064,20736,8785) (-25/59,-61/144) -> (83/144,49/85) Hyperbolic Matrix(11951,5062,20736,8783) (-61/144,-36/85) -> (34/59,83/144) Hyperbolic Matrix(757,320,-2808,-1187) (-11/26,-19/45) -> (-17/63,-7/26) 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(541,222,792,325) (-7/17,-16/39) -> (2/3,13/19) Hyperbolic Matrix(2303,944,2808,1151) (-16/39,-25/61) -> (9/11,32/39) Hyperbolic Matrix(12241,5016,20736,8497) (-25/61,-59/144) -> (85/144,49/83) Hyperbolic Matrix(12239,5014,20736,8495) (-59/144,-34/83) -> (36/61,85/144) Hyperbolic Matrix(3601,1462,4968,2017) (-13/32,-15/37) -> (79/109,29/40) Hyperbolic Matrix(251,98,-648,-253) (-2/5,-7/18) -> (-7/18,-12/31) Parabolic Matrix(5689,2200,-20664,-7991) (-41/106,-29/75) -> (-19/69,-49/178) Hyperbolic Matrix(683,264,3816,1475) (-29/75,-17/44) -> (5/28,7/39) Hyperbolic Matrix(6695,2586,9504,3671) (-17/44,-39/101) -> (81/115,31/44) Hyperbolic Matrix(6947,2682,8856,3419) (-39/101,-22/57) -> (40/51,51/65) Hyperbolic Matrix(469,180,2160,829) (-5/13,-23/60) -> (13/60,5/23) 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(325,124,-1224,-467) (-13/34,-8/21) -> (-4/15,-9/34) Hyperbolic Matrix(1693,644,-4824,-1835) (-8/21,-27/71) -> (-13/37,-20/57) 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(1151,426,3888,1439) (-10/27,-27/73) -> (21/71,8/27) Hyperbolic Matrix(937,344,2160,793) (-18/49,-11/30) -> (13/30,10/23) Hyperbolic Matrix(1403,514,3240,1187) (-11/30,-26/71) -> (16/37,13/30) Hyperbolic Matrix(1295,474,-5904,-2161) (-26/71,-15/41) -> (-9/41,-16/73) Hyperbolic Matrix(433,158,792,289) (-15/41,-4/11) -> (6/11,17/31) 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(107,38,504,179) (-5/14,-6/17) -> (4/19,3/14) Hyperbolic Matrix(613,216,1944,685) (-6/17,-19/54) -> (17/54,6/19) Hyperbolic Matrix(1223,430,3888,1367) (-19/54,-13/37) -> (11/35,17/54) Hyperbolic Matrix(109,38,-720,-251) (-7/20,-1/3) -> (-5/33,-3/20) Hyperbolic Matrix(467,148,792,251) (-1/3,-6/19) -> (10/17,23/39) Hyperbolic 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(2339,698,5184,1547) (-3/10,-17/57) -> (23/51,37/82) Hyperbolic Matrix(323,96,360,107) (-11/37,-8/27) -> (8/9,1/1) Hyperbolic Matrix(3995,1182,5472,1619) (-8/27,-21/71) -> (27/37,46/63) Hyperbolic Matrix(5833,1724,9504,2809) (-34/115,-13/44) -> (27/44,62/101) Hyperbolic Matrix(217,64,1224,361) (-13/44,-5/17) -> (3/17,5/28) Hyperbolic Matrix(1225,358,1728,505) (-12/41,-7/24) -> (17/24,22/31) Hyperbolic Matrix(1223,356,1728,503) (-7/24,-9/31) -> (29/41,17/24) Hyperbolic Matrix(8245,2388,-29952,-8675) (-31/107,-11/38) -> (-49/178,-79/287) Hyperbolic Matrix(1045,302,1872,541) (-11/38,-2/7) -> (24/43,19/34) Hyperbolic Matrix(179,50,-648,-181) (-2/7,-5/18) -> (-5/18,-8/29) Parabolic Matrix(113653,31284,156816,43165) (-79/287,-109/396) -> (287/396,79/109) Hyperbolic Matrix(113651,31282,156816,43163) (-109/396,-30/109) -> (208/287,287/396) Hyperbolic Matrix(2951,812,4968,1367) (-30/109,-11/40) -> (19/32,22/37) Hyperbolic Matrix(575,158,-3672,-1009) (-11/40,-14/51) -> (-8/51,-5/32) Hyperbolic Matrix(4031,1106,7344,2015) (-14/51,-17/62) -> (45/82,28/51) Hyperbolic Matrix(1441,390,2664,721) (-13/48,-10/37) -> (20/37,13/24) Hyperbolic Matrix(3853,1040,5472,1477) (-10/37,-17/63) -> (19/27,50/71) 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(611,142,1080,251) (-7/30,-3/13) -> (13/23,17/30) Hyperbolic Matrix(1153,264,2520,577) (-11/48,-8/35) -> (16/35,11/24) Hyperbolic Matrix(143,32,-648,-145) (-7/31,-2/9) -> (-2/9,-9/41) Parabolic Matrix(3023,662,5256,1151) (-16/73,-7/32) -> (23/40,42/73) Hyperbolic Matrix(829,180,2160,469) (-5/23,-13/60) -> (23/60,5/13) Hyperbolic Matrix(2159,466,2664,575) (-8/37,-11/51) -> (17/21,30/37) Hyperbolic Matrix(5437,1172,8856,1909) (-11/51,-14/65) -> (62/101,35/57) Hyperbolic Matrix(16273,3504,20736,4465) (-14/65,-31/144) -> (113/144,62/79) Hyperbolic Matrix(16271,3502,20736,4463) (-31/144,-17/79) -> (51/65,113/144) Hyperbolic Matrix(179,38,504,107) (-3/14,-4/19) -> (6/17,5/14) Hyperbolic Matrix(251,52,864,179) (-5/24,-1/5) -> (9/31,7/24) 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(361,68,1152,217) (-7/37,-3/16) -> (5/16,11/35) Hyperbolic Matrix(323,60,576,107) (-3/16,-2/11) -> (14/25,9/16) Hyperbolic Matrix(1657,298,2808,505) (-2/11,-7/39) -> (23/39,36/61) Hyperbolic Matrix(793,142,2016,361) (-7/39,-5/28) -> (11/28,13/33) Hyperbolic Matrix(361,64,1224,217) (-5/28,-3/17) -> (5/17,13/44) Hyperbolic Matrix(35,6,-216,-37) (-3/17,-1/6) -> (-1/6,-3/19) Parabolic Matrix(1369,208,2376,361) (-2/13,-5/33) -> (19/33,34/59) Hyperbolic Matrix(323,48,720,107) (-3/20,-1/7) -> (13/29,9/20) 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(251,-38,720,-109) (3/20,2/13) -> (8/23,7/20) Hyperbolic Matrix(37,-6,216,-35) (2/13,1/6) -> (1/6,4/23) Parabolic Matrix(1295,-226,1656,-289) (4/23,3/17) -> (43/55,18/23) Hyperbolic Matrix(611,-128,864,-181) (1/5,4/19) -> (12/17,29/41) Hyperbolic Matrix(1583,-340,2016,-433) (3/14,14/65) -> (62/79,11/14) Hyperbolic Matrix(3743,-810,5328,-1153) (8/37,13/60) -> (59/84,26/37) Hyperbolic Matrix(973,-212,1152,-251) (5/23,7/32) -> (27/32,11/13) Hyperbolic Matrix(683,-150,1152,-253) (7/32,2/9) -> (16/27,19/32) Hyperbolic Matrix(469,-106,792,-179) (2/9,5/22) -> (13/22,16/27) Hyperbolic 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(683,-160,1080,-253) (3/13,4/17) -> (12/19,31/49) 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(2269,-612,3600,-971) (7/26,10/37) -> (46/73,29/46) Hyperbolic Matrix(361,-98,792,-215) (10/37,3/11) -> (5/11,16/35) Hyperbolic Matrix(181,-50,648,-179) (3/11,5/18) -> (5/18,7/25) Parabolic Matrix(2881,-808,4104,-1151) (7/25,16/57) -> (40/57,33/47) Hyperbolic Matrix(3601,-1012,4608,-1295) (16/57,9/32) -> (25/32,68/87) Hyperbolic Matrix(289,-82,504,-143) (9/32,2/7) -> (4/7,23/40) Hyperbolic Matrix(2737,-794,4464,-1295) (11/38,9/31) -> (19/31,65/106) Hyperbolic Matrix(683,-200,864,-253) (7/24,5/17) -> (15/19,19/24) Hyperbolic Matrix(2699,-798,4752,-1405) (13/44,21/71) -> (21/37,25/44) Hyperbolic Matrix(4175,-1242,5328,-1585) (11/37,14/47) -> (76/97,29/37) Hyperbolic Matrix(2195,-654,3024,-901) (14/47,3/10) -> (45/62,8/11) Hyperbolic Matrix(251,-76,360,-109) (3/10,4/13) -> (16/23,7/10) Hyperbolic Matrix(3167,-1112,4104,-1441) (7/20,13/37) -> (27/35,71/92) Hyperbolic Matrix(323,-116,504,-181) (5/14,4/11) -> (16/25,9/14) Hyperbolic Matrix(1115,-408,1872,-685) (15/41,26/71) -> (22/37,3/5) Hyperbolic Matrix(827,-304,1080,-397) (11/30,7/19) -> (13/17,23/30) Hyperbolic Matrix(791,-292,1368,-505) (7/19,10/27) -> (26/45,11/19) 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(2557,-972,3312,-1259) (19/50,8/21) -> (44/57,17/22) Hyperbolic Matrix(2701,-1032,3672,-1403) (21/55,13/34) -> (25/34,39/53) Hyperbolic Matrix(6769,-2594,8640,-3311) (18/47,23/60) -> (47/60,76/97) Hyperbolic Matrix(253,-98,648,-251) (5/13,7/18) -> (7/18,9/23) Parabolic Matrix(541,-212,1008,-395) (9/23,11/28) -> (15/28,7/13) Hyperbolic Matrix(971,-384,1368,-541) (13/33,2/5) -> (22/31,49/69) Hyperbolic Matrix(613,-250,792,-323) (2/5,9/22) -> (17/22,24/31) Hyperbolic Matrix(1871,-766,3168,-1297) (9/22,25/61) -> (49/83,13/22) Hyperbolic Matrix(863,-364,1368,-577) (8/19,11/26) -> (29/46,12/19) Hyperbolic Matrix(2159,-914,3744,-1585) (11/26,25/59) -> (49/85,15/26) Hyperbolic Matrix(1043,-444,1440,-613) (14/33,3/7) -> (21/29,50/69) Hyperbolic Matrix(3347,-1446,4752,-2053) (3/7,16/37) -> (50/71,81/115) Hyperbolic Matrix(289,-128,648,-287) (15/34,4/9) -> (4/9,17/38) Parabolic Matrix(1403,-632,2160,-973) (9/20,23/51) -> (37/57,13/20) Hyperbolic Matrix(6479,-2924,11808,-5329) (37/82,14/31) -> (62/113,45/82) Hyperbolic Matrix(721,-332,936,-431) (11/24,6/13) -> (10/13,37/48) Hyperbolic Matrix(575,-266,936,-433) (6/13,7/15) -> (35/57,8/13) Hyperbolic Matrix(971,-456,1152,-541) (7/15,8/17) -> (16/19,43/51) Hyperbolic Matrix(37,-18,72,-35) (8/17,1/2) -> (1/2,10/19) Parabolic Matrix(1801,-956,2304,-1223) (9/17,8/15) -> (68/87,43/55) Hyperbolic Matrix(577,-314,792,-431) (13/24,6/11) -> (8/11,35/48) Hyperbolic Matrix(4501,-2472,5832,-3203) (28/51,11/20) -> (71/92,44/57) Hyperbolic Matrix(361,-200,648,-359) (16/29,5/9) -> (5/9,24/43) Parabolic Matrix(6085,-3502,8568,-4931) (42/73,19/33) -> (49/69,76/107) Hyperbolic Matrix(2051,-1184,2808,-1621) (15/26,26/45) -> (46/63,19/26) Hyperbolic Matrix(397,-242,648,-395) (3/5,11/18) -> (11/18,19/31) Parabolic Matrix(14975,-9184,20664,-12673) (65/106,46/75) -> (50/69,129/178) Hyperbolic Matrix(4753,-2932,6768,-4175) (37/60,29/47) -> (33/47,59/84) Hyperbolic Matrix(899,-556,1224,-757) (21/34,13/21) -> (11/15,25/34) Hyperbolic Matrix(3131,-1940,4824,-2989) (13/21,44/71) -> (24/37,37/57) Hyperbolic Matrix(4609,-2922,5904,-3743) (45/71,26/41) -> (32/41,57/73) Hyperbolic Matrix(611,-398,720,-469) (13/20,2/3) -> (28/33,17/20) Hyperbolic Matrix(21707,-15420,29952,-21277) (76/107,27/38) -> (129/178,208/287) Hyperbolic Matrix(469,-338,648,-467) (5/7,13/18) -> (13/18,21/29) Parabolic Matrix(3097,-2246,3672,-2663) (29/40,37/51) -> (43/51,27/32) Hyperbolic Matrix(505,-392,648,-503) (24/31,7/9) -> (7/9,32/41) 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,-68,1) Matrix(107,94,-288,-253) -> Matrix(119,-4,1458,-49) Matrix(179,156,288,251) -> Matrix(117,-4,-2486,85) Matrix(397,338,720,613) -> Matrix(231,-8,-4360,151) Matrix(469,398,-720,-611) -> Matrix(229,-8,5124,-179) Matrix(179,150,-216,-181) -> Matrix(57,-2,1568,-55) Matrix(361,298,-1656,-1367) -> Matrix(57,-2,428,-15) Matrix(863,710,1224,1007) -> Matrix(55,-2,-1292,47) Matrix(2341,1922,3816,3133) -> Matrix(609,-22,-12872,465) Matrix(1151,944,2808,2303) -> Matrix(607,-22,-8360,303) Matrix(253,206,576,469) -> Matrix(107,-4,-1578,59) Matrix(791,642,1152,935) -> Matrix(1,0,-52,1) Matrix(575,466,2664,2159) -> Matrix(55,-2,-302,11) Matrix(685,554,936,757) -> Matrix(55,-2,-1402,51) Matrix(253,200,-864,-683) -> Matrix(105,-4,1024,-39) Matrix(325,256,504,397) -> Matrix(53,-2,-1192,45) Matrix(433,340,-2016,-1583) -> Matrix(1,0,-16,1) Matrix(1693,1328,3168,2485) -> Matrix(121,-4,-2208,73) Matrix(505,396,2664,2089) -> Matrix(57,-2,-370,13) Matrix(1585,1242,-5328,-4175) -> Matrix(109,-4,1172,-43) Matrix(1331,1042,2160,1691) -> Matrix(1,0,-48,1) Matrix(179,140,-1152,-901) -> Matrix(105,-4,604,-23) Matrix(469,366,-1152,-899) -> Matrix(105,-4,1444,-55) Matrix(323,250,-792,-613) -> Matrix(53,-2,716,-27) Matrix(1259,972,-3312,-2557) -> Matrix(1,0,-12,1) Matrix(431,332,-936,-721) -> Matrix(57,-2,884,-31) Matrix(397,304,-1080,-827) -> Matrix(51,-2,638,-25) Matrix(37,28,144,109) -> Matrix(1,0,-34,1) Matrix(35,26,144,107) -> Matrix(1,0,-34,1) Matrix(757,556,-1224,-899) -> Matrix(49,-2,1054,-43) Matrix(757,554,936,685) -> Matrix(51,-2,-1402,55) Matrix(755,552,-2808,-2053) -> Matrix(49,-2,466,-19) Matrix(1331,972,-3600,-2629) -> Matrix(1,0,-12,1) Matrix(431,314,-792,-577) -> Matrix(55,-2,1018,-37) Matrix(467,338,-648,-469) -> Matrix(51,-2,1250,-49) Matrix(1223,880,-4104,-2953) -> Matrix(49,-2,564,-23) Matrix(1007,724,-4608,-3313) -> Matrix(1,0,-16,1) Matrix(215,154,-504,-361) -> Matrix(47,-2,682,-29) Matrix(613,436,1368,973) -> Matrix(151,-6,-2290,91) Matrix(1727,1226,-4464,-3169) -> Matrix(101,-4,1288,-51) Matrix(685,486,864,613) -> Matrix(99,-4,-2648,107) Matrix(181,128,-864,-611) -> Matrix(97,-4,752,-31) Matrix(1007,710,1224,863) -> Matrix(47,-2,-1292,55) Matrix(2053,1446,-4752,-3347) -> Matrix(391,-16,5694,-233) Matrix(2449,1724,3888,2737) -> Matrix(97,-4,-2158,89) Matrix(1223,860,1944,1367) -> Matrix(143,-6,-3122,131) Matrix(1153,810,-5328,-3743) -> Matrix(93,-4,628,-27) Matrix(829,582,-3024,-2123) -> Matrix(1,0,-14,1) Matrix(109,76,-360,-251) -> Matrix(49,-2,466,-19) Matrix(325,224,576,397) -> Matrix(93,-4,-1790,77) Matrix(935,642,1152,791) -> Matrix(1,0,-52,1) Matrix(2521,1728,3888,2665) -> Matrix(289,-12,-6382,265) Matrix(1259,862,1944,1331) -> Matrix(47,-2,-1010,43) Matrix(325,222,792,541) -> Matrix(143,-6,-1978,83) Matrix(397,260,936,613) -> Matrix(227,-10,-3246,143) Matrix(937,608,-4104,-2663) -> Matrix(133,-6,1308,-59) Matrix(2665,1728,3888,2521) -> Matrix(265,-12,-6382,289) Matrix(1331,862,1944,1259) -> Matrix(43,-2,-1010,47) Matrix(397,256,504,325) -> Matrix(45,-2,-1192,53) Matrix(181,116,-504,-323) -> Matrix(133,-6,1574,-71) Matrix(359,228,792,503) -> Matrix(217,-10,-3320,153) Matrix(757,480,-1872,-1187) -> Matrix(171,-8,2330,-109) Matrix(1837,1164,3240,2053) -> Matrix(47,-2,-916,39) Matrix(253,160,-1080,-683) -> Matrix(43,-2,366,-17) Matrix(577,364,-1368,-863) -> Matrix(131,-6,1856,-85) Matrix(35,22,-288,-181) -> Matrix(87,-4,370,-17) Matrix(251,156,288,179) -> Matrix(85,-4,-2486,117) Matrix(2051,1272,-5400,-3349) -> Matrix(41,-2,554,-27) Matrix(755,468,-3312,-2053) -> Matrix(1,0,-12,1) Matrix(971,600,-3672,-2269) -> Matrix(127,-6,1122,-53) Matrix(1079,666,2448,1511) -> Matrix(83,-4,-1224,59) Matrix(1871,1154,-8640,-5329) -> Matrix(169,-8,1162,-55) Matrix(1691,1042,2160,1331) -> Matrix(1,0,-48,1) Matrix(395,242,-648,-397) -> Matrix(211,-10,4410,-209) Matrix(467,284,-1008,-613) -> Matrix(333,-16,5224,-251) Matrix(1655,1004,2016,1223) -> Matrix(165,-8,-4558,221) Matrix(397,240,-1368,-827) -> Matrix(125,-6,1146,-55) Matrix(179,106,-792,-469) -> Matrix(41,-2,308,-15) Matrix(1297,766,-3168,-1871) -> Matrix(487,-24,6676,-329) Matrix(505,298,2808,1657) -> Matrix(445,-22,-2852,141) Matrix(251,148,792,467) -> Matrix(121,-6,-1230,61) Matrix(181,106,432,253) -> Matrix(161,-8,-2274,113) Matrix(179,104,432,251) -> Matrix(159,-8,-2206,111) Matrix(505,292,-1368,-791) -> Matrix(119,-6,1448,-73) Matrix(1585,914,-3744,-2159) -> Matrix(791,-40,11252,-569) Matrix(323,186,936,539) -> Matrix(197,-10,-2226,113) Matrix(397,228,-1440,-827) -> Matrix(79,-4,652,-33) Matrix(1405,798,-4752,-2699) -> Matrix(311,-16,2974,-153) Matrix(2053,1164,3240,1837) -> Matrix(39,-2,-916,47) Matrix(1367,774,2160,1223) -> Matrix(77,-4,-1636,85) Matrix(397,224,576,325) -> Matrix(77,-4,-1790,93) Matrix(107,60,576,323) -> Matrix(77,-4,-558,29) Matrix(937,524,2448,1369) -> Matrix(77,-4,-1020,53) Matrix(359,200,-648,-361) -> Matrix(267,-14,5054,-265) Matrix(395,218,1368,755) -> Matrix(113,-6,-998,53) Matrix(613,338,720,397) -> Matrix(151,-8,-4360,231) Matrix(757,416,-2160,-1187) -> Matrix(301,-16,3518,-187) Matrix(3637,1996,5184,2845) -> Matrix(75,-4,-1406,75) Matrix(5329,2924,-11808,-6479) -> Matrix(3751,-200,57184,-3049) Matrix(289,158,792,433) -> Matrix(187,-10,-2300,123) Matrix(1943,1054,2520,1367) -> Matrix(37,-2,-684,37) Matrix(215,116,-936,-505) -> Matrix(37,-2,204,-11) Matrix(361,194,-936,-503) -> Matrix(257,-14,3286,-179) Matrix(181,96,-1152,-611) -> Matrix(217,-12,1284,-71) Matrix(35,18,-72,-37) -> Matrix(35,-2,578,-33) Matrix(685,324,1296,613) -> Matrix(513,-32,-9250,577) Matrix(683,322,1296,611) -> Matrix(511,-32,-9182,575) Matrix(503,236,-2304,-1081) -> Matrix(127,-8,1032,-65) Matrix(683,318,3168,1475) -> Matrix(63,-4,-236,15) Matrix(1187,552,2088,971) -> Matrix(661,-42,-12858,817) Matrix(1943,892,2664,1223) -> Matrix(31,-2,-542,35) Matrix(215,98,-792,-361) -> Matrix(31,-2,202,-13) Matrix(503,228,792,359) -> Matrix(153,-10,-3320,217) Matrix(11377,5136,20736,9361) -> Matrix(5369,-352,-100684,6601) Matrix(11375,5134,20736,9359) -> Matrix(5367,-352,-100616,6599) Matrix(5329,2404,7344,3313) -> Matrix(61,-4,-1784,117) Matrix(1331,600,-5832,-2629) -> Matrix(213,-14,2054,-135) Matrix(107,48,720,323) -> Matrix(121,-8,-620,41) Matrix(287,128,-648,-289) -> Matrix(211,-14,3150,-209) Matrix(1331,588,1872,827) -> Matrix(119,-8,-2960,199) Matrix(1511,666,2448,1079) -> Matrix(59,-4,-1224,83) Matrix(469,206,576,253) -> Matrix(59,-4,-1578,107) Matrix(179,78,576,251) -> Matrix(59,-4,-634,43) Matrix(829,360,1080,469) -> Matrix(29,-2,-710,49) Matrix(1187,514,3240,1403) -> Matrix(29,-2,-304,21) Matrix(1117,482,2088,901) -> Matrix(611,-42,-11158,767) Matrix(4105,1744,5256,2233) -> Matrix(29,-2,-826,57) Matrix(2483,1054,-8568,-3637) -> Matrix(315,-22,2878,-201) Matrix(2015,854,2376,1007) -> Matrix(371,-26,-10602,743) Matrix(11953,5064,20736,8785) -> Matrix(3193,-224,-63076,4425) Matrix(11951,5062,20736,8783) -> Matrix(3191,-224,-63008,4423) Matrix(757,320,-2808,-1187) -> Matrix(85,-6,836,-59) Matrix(253,106,432,181) -> Matrix(113,-8,-2274,161) Matrix(251,104,432,179) -> Matrix(111,-8,-2206,159) Matrix(541,222,792,325) -> Matrix(83,-6,-1978,143) Matrix(2303,944,2808,1151) -> Matrix(303,-22,-8360,607) Matrix(12241,5016,20736,8497) -> Matrix(2201,-160,-44584,3241) Matrix(12239,5014,20736,8495) -> Matrix(2199,-160,-44516,3239) Matrix(3601,1462,4968,2017) -> Matrix(137,-10,-3466,253) Matrix(251,98,-648,-253) -> Matrix(131,-10,1690,-129) Matrix(5689,2200,-20664,-7991) -> Matrix(129,-10,1174,-91) Matrix(683,264,3816,1475) -> Matrix(283,-22,-1788,139) Matrix(6695,2586,9504,3671) -> Matrix(103,-8,-2562,199) Matrix(6947,2682,8856,3419) -> Matrix(77,-6,-2374,185) Matrix(469,180,2160,829) -> Matrix(1,0,-20,1) Matrix(2015,772,-6768,-2593) -> Matrix(51,-4,574,-45) Matrix(1369,524,2448,937) -> Matrix(53,-4,-1020,77) Matrix(325,124,-1224,-467) -> Matrix(25,-2,238,-19) Matrix(1693,644,-4824,-1835) -> Matrix(73,-6,864,-71) Matrix(7237,2748,11664,4429) -> Matrix(209,-16,-4402,337) Matrix(7235,2746,11664,4427) -> Matrix(207,-16,-4334,335) Matrix(37,14,288,109) -> Matrix(51,-4,-242,19) Matrix(577,214,1944,721) -> Matrix(73,-6,-742,61) Matrix(1151,426,3888,1439) -> Matrix(47,-4,-458,39) Matrix(937,344,2160,793) -> Matrix(51,-4,-752,59) Matrix(1403,514,3240,1187) -> Matrix(21,-2,-304,29) Matrix(1295,474,-5904,-2161) -> Matrix(51,-4,370,-29) Matrix(433,158,792,289) -> Matrix(123,-10,-2300,187) Matrix(829,300,1296,469) -> Matrix(193,-16,-4258,353) Matrix(827,298,1296,467) -> Matrix(191,-16,-4190,351) Matrix(107,38,504,179) -> Matrix(23,-2,-172,15) Matrix(613,216,1944,685) -> Matrix(25,-2,-262,21) Matrix(1223,430,3888,1367) -> Matrix(143,-12,-1418,119) Matrix(109,38,-720,-251) -> Matrix(93,-8,500,-43) Matrix(467,148,792,251) -> Matrix(61,-6,-1230,121) Matrix(685,216,1944,613) -> Matrix(21,-2,-262,25) Matrix(1367,430,3888,1223) -> Matrix(119,-12,-1418,143) Matrix(217,68,1152,361) -> Matrix(1,0,-16,1) Matrix(251,78,576,179) -> Matrix(43,-4,-634,59) Matrix(901,276,1296,397) -> Matrix(81,-8,-1954,193) Matrix(899,274,1296,395) -> Matrix(79,-8,-1886,191) Matrix(2339,698,5184,1547) -> Matrix(61,-4,-930,61) Matrix(323,96,360,107) -> Matrix(21,-2,-640,61) Matrix(3995,1182,5472,1619) -> Matrix(39,-4,-926,95) Matrix(5833,1724,9504,2809) -> Matrix(73,-8,-1542,169) Matrix(217,64,1224,361) -> Matrix(21,-2,-136,13) Matrix(1225,358,1728,505) -> Matrix(77,-8,-1896,197) Matrix(1223,356,1728,503) -> Matrix(75,-8,-1828,195) Matrix(8245,2388,-29952,-8675) -> Matrix(35,-4,324,-37) Matrix(1045,302,1872,541) -> Matrix(73,-8,-1396,153) Matrix(179,50,-648,-181) -> Matrix(19,-2,162,-17) Matrix(113653,31284,156816,43165) -> Matrix(289,-32,-7234,801) Matrix(113651,31282,156816,43163) -> Matrix(287,-32,-7166,799) Matrix(2951,812,4968,1367) -> Matrix(87,-10,-1766,203) Matrix(575,158,-3672,-1009) -> Matrix(49,-6,286,-35) Matrix(4031,1106,7344,2015) -> Matrix(19,-4,-356,75) Matrix(1441,390,2664,721) -> Matrix(33,-2,-610,37) Matrix(3853,1040,5472,1477) -> Matrix(41,-4,-994,97) Matrix(8533,2292,11664,3133) -> Matrix(73,-8,-1834,201) Matrix(8531,2290,11664,3131) -> Matrix(71,-8,-1766,199) Matrix(179,48,936,251) -> Matrix(17,-2,-110,13) Matrix(3817,1008,5184,1369) -> Matrix(69,-8,-1768,205) Matrix(3815,1006,5184,1367) -> Matrix(67,-8,-1700,203) Matrix(109,28,144,37) -> Matrix(1,0,-34,1) Matrix(107,26,144,35) -> Matrix(1,0,-34,1) Matrix(611,142,1080,251) -> Matrix(19,-2,-370,39) Matrix(1153,264,2520,577) -> Matrix(31,-2,-480,31) Matrix(143,32,-648,-145) -> Matrix(17,-2,128,-15) Matrix(3023,662,5256,1151) -> Matrix(11,-2,-214,39) Matrix(829,180,2160,469) -> Matrix(1,0,-20,1) Matrix(2159,466,2664,575) -> Matrix(11,-2,-302,55) Matrix(5437,1172,8856,1909) -> Matrix(19,-6,-402,127) Matrix(16273,3504,20736,4465) -> Matrix(1,0,-8,1) Matrix(16271,3502,20736,4463) -> Matrix(1,0,-60,1) Matrix(179,38,504,107) -> Matrix(15,-2,-172,23) Matrix(251,52,864,179) -> Matrix(29,-4,-268,37) Matrix(251,48,936,179) -> Matrix(13,-2,-110,17) Matrix(2089,396,2664,505) -> Matrix(13,-2,-370,57) Matrix(361,68,1152,217) -> Matrix(1,0,-16,1) Matrix(323,60,576,107) -> Matrix(29,-4,-558,77) Matrix(1657,298,2808,505) -> Matrix(141,-22,-2852,445) Matrix(793,142,2016,361) -> Matrix(51,-8,-682,107) Matrix(361,64,1224,217) -> Matrix(13,-2,-136,21) Matrix(35,6,-216,-37) -> Matrix(13,-2,72,-11) Matrix(1369,208,2376,361) -> Matrix(141,-26,-2782,513) Matrix(323,48,720,107) -> Matrix(41,-8,-620,121) Matrix(109,14,288,37) -> Matrix(19,-4,-242,51) Matrix(253,26,360,37) -> Matrix(7,-2,-164,47) Matrix(181,-22,288,-35) -> Matrix(17,4,-370,-87) Matrix(251,-38,720,-109) -> Matrix(43,8,-500,-93) Matrix(37,-6,216,-35) -> Matrix(11,2,-72,-13) Matrix(1295,-226,1656,-289) -> Matrix(11,2,-292,-53) Matrix(611,-128,864,-181) -> Matrix(31,4,-752,-97) Matrix(1583,-340,2016,-433) -> Matrix(1,0,-16,1) Matrix(3743,-810,5328,-1153) -> Matrix(27,4,-628,-93) Matrix(973,-212,1152,-251) -> Matrix(31,4,-876,-113) Matrix(683,-150,1152,-253) -> Matrix(31,4,-628,-81) Matrix(469,-106,792,-179) -> Matrix(15,2,-308,-41) Matrix(2053,-468,3312,-755) -> Matrix(1,0,-12,1) Matrix(505,-116,936,-215) -> Matrix(11,2,-204,-37) Matrix(683,-160,1080,-253) -> Matrix(17,2,-366,-43) Matrix(467,-124,1224,-325) -> Matrix(19,2,-238,-25) Matrix(2053,-552,2808,-755) -> Matrix(19,2,-466,-49) Matrix(2269,-612,3600,-971) -> Matrix(1,0,-12,1) Matrix(361,-98,792,-215) -> Matrix(13,2,-202,-31) Matrix(181,-50,648,-179) -> Matrix(17,2,-162,-19) Matrix(2881,-808,4104,-1151) -> Matrix(19,2,-428,-45) Matrix(3601,-1012,4608,-1295) -> Matrix(1,0,-16,1) Matrix(289,-82,504,-143) -> Matrix(21,2,-410,-39) Matrix(2737,-794,4464,-1295) -> Matrix(35,4,-744,-85) Matrix(683,-200,864,-253) -> Matrix(39,4,-1024,-105) Matrix(2699,-798,4752,-1405) -> Matrix(153,16,-2974,-311) Matrix(4175,-1242,5328,-1585) -> Matrix(43,4,-1172,-109) Matrix(2195,-654,3024,-901) -> Matrix(1,0,-14,1) Matrix(251,-76,360,-109) -> Matrix(19,2,-466,-49) Matrix(3167,-1112,4104,-1441) -> Matrix(71,6,-1716,-145) Matrix(323,-116,504,-181) -> Matrix(71,6,-1574,-133) Matrix(1115,-408,1872,-685) -> Matrix(101,8,-2058,-163) Matrix(827,-304,1080,-397) -> Matrix(25,2,-638,-51) Matrix(791,-292,1368,-505) -> Matrix(73,6,-1448,-119) Matrix(253,-94,288,-107) -> Matrix(49,4,-1458,-119) Matrix(3349,-1272,5400,-2051) -> Matrix(27,2,-554,-41) Matrix(2557,-972,3312,-1259) -> Matrix(1,0,-12,1) Matrix(2701,-1032,3672,-1403) -> Matrix(77,6,-1938,-151) Matrix(6769,-2594,8640,-3311) -> Matrix(103,8,-2794,-217) Matrix(253,-98,648,-251) -> Matrix(129,10,-1690,-131) Matrix(541,-212,1008,-395) -> Matrix(211,16,-3864,-293) Matrix(971,-384,1368,-541) -> Matrix(79,6,-1962,-149) Matrix(613,-250,792,-323) -> Matrix(27,2,-716,-53) Matrix(1871,-766,3168,-1297) -> Matrix(329,24,-6676,-487) Matrix(863,-364,1368,-577) -> Matrix(85,6,-1856,-131) Matrix(2159,-914,3744,-1585) -> Matrix(569,40,-11252,-791) Matrix(1043,-444,1440,-613) -> Matrix(57,4,-1468,-103) Matrix(3347,-1446,4752,-2053) -> Matrix(233,16,-5694,-391) Matrix(289,-128,648,-287) -> Matrix(209,14,-3150,-211) Matrix(1403,-632,2160,-973) -> Matrix(243,16,-5422,-357) Matrix(6479,-2924,11808,-5329) -> Matrix(3049,200,-57184,-3751) Matrix(721,-332,936,-431) -> Matrix(31,2,-884,-57) Matrix(575,-266,936,-433) -> Matrix(219,14,-4646,-297) Matrix(971,-456,1152,-541) -> Matrix(191,12,-5364,-337) Matrix(37,-18,72,-35) -> Matrix(33,2,-578,-35) Matrix(1801,-956,2304,-1223) -> Matrix(145,8,-3752,-207) Matrix(577,-314,792,-431) -> Matrix(37,2,-1018,-55) Matrix(4501,-2472,5832,-3203) -> Matrix(263,14,-6406,-341) Matrix(361,-200,648,-359) -> Matrix(265,14,-5054,-267) Matrix(6085,-3502,8568,-4931) -> Matrix(433,22,-10766,-547) Matrix(2051,-1184,2808,-1621) -> Matrix(119,6,-2876,-145) Matrix(397,-242,648,-395) -> Matrix(209,10,-4410,-211) Matrix(14975,-9184,20664,-12673) -> Matrix(211,10,-5254,-249) Matrix(4753,-2932,6768,-4175) -> Matrix(85,4,-1934,-91) Matrix(899,-556,1224,-757) -> Matrix(43,2,-1054,-49) Matrix(3131,-1940,4824,-2989) -> Matrix(131,6,-2904,-133) Matrix(4609,-2922,5904,-3743) -> Matrix(85,4,-2274,-107) Matrix(611,-398,720,-469) -> Matrix(179,8,-5124,-229) Matrix(21707,-15420,29952,-21277) -> Matrix(101,4,-2500,-99) Matrix(469,-338,648,-467) -> Matrix(49,2,-1250,-51) Matrix(3097,-2246,3672,-2663) -> Matrix(155,6,-4366,-169) Matrix(505,-392,648,-503) -> Matrix(51,2,-1352,-53) Matrix(181,-150,216,-179) -> Matrix(55,2,-1568,-57) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 144 Degree of the the map X: 144 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, lambda2 The subgroup of modular group liftables which arise from translations is isomorphic to Z/2Z. ----------------------------------------------------------------------- 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 0/1 1/8 1/7 3/20 2/13 1/6 3/17 5/28 2/11 3/16 1/5 3/14 13/60 7/32 2/9 5/22 1/4 4/15 7/26 5/18 9/32 7/24 8/27 3/10 5/16 17/54 1/3 19/54 11/30 3/8 13/34 23/60 7/18 11/28 5/12 13/30 4/9 9/20 11/24 1/2 19/36 8/15 13/24 79/144 5/9 83/144 7/12 85/144 11/18 67/108 23/36 2/3 25/36 17/24 13/18 287/396 79/108 53/72 3/4 7/9 113/144 5/6 8/9 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES 0/1 1/0 1/8 -2/9 1/7 -3/16 3/20 -4/21 -2/11 2/13 -5/28 1/6 -1/6 4/23 -1/4 3/17 -1/6 5/28 -4/25 -2/13 7/39 -3/19 2/11 -3/20 3/16 0/1 7/37 -9/56 4/21 -1/7 1/5 -1/8 4/19 -1/8 3/14 -1/9 14/65 1/4 11/51 -1/5 8/37 -5/32 13/60 -1/7 5/23 -3/22 7/32 0/1 2/9 -1/8 5/22 -1/9 8/35 -3/32 3/13 -1/8 4/17 -1/8 1/4 -2/17 0/1 5/19 -1/8 4/15 -1/9 11/41 -3/26 7/26 -1/9 10/37 -3/34 3/11 -1/8 5/18 -1/9 7/25 -1/10 16/57 -3/29 9/32 0/1 2/7 -1/8 11/38 -1/9 9/31 -3/28 7/24 -2/19 5/17 -1/10 13/44 -2/19 0/1 21/71 -13/126 8/27 -1/10 11/37 -7/74 14/47 -1/12 3/10 -1/9 4/13 -1/10 5/16 0/1 11/35 -9/88 17/54 -1/10 6/19 -1/10 1/3 -1/11 8/23 -9/104 7/20 -2/23 -4/47 13/37 -15/178 19/54 -1/12 6/17 -1/12 5/14 -3/35 4/11 -1/12 15/41 -7/88 26/71 -5/66 11/30 -1/12 7/19 -1/12 10/27 -1/12 3/8 -2/25 11/29 -7/90 19/50 -1/13 8/21 -1/13 21/55 -3/38 13/34 -1/13 18/47 -3/38 23/60 -1/13 5/13 -3/38 7/18 -1/13 9/23 -7/92 11/28 -4/53 -2/27 13/33 -1/13 2/5 -3/40 9/22 -3/41 25/61 -17/234 16/39 -5/69 7/17 -1/14 5/12 -1/14 8/19 -1/14 11/26 -5/71 25/59 -23/328 14/33 -3/43 3/7 -5/72 16/37 -27/394 13/30 -3/44 10/23 -3/44 7/16 -4/59 11/25 -7/104 15/34 -1/15 4/9 -1/15 17/38 -1/15 13/29 -5/76 9/20 -6/91 -4/61 23/51 -9/137 37/82 -25/381 14/31 -19/290 5/11 -3/46 16/35 -29/448 11/24 -2/31 6/13 -5/78 7/15 -5/79 8/17 -1/16 1/2 -1/17 10/19 -1/18 19/36 -1/18 9/17 -1/18 8/15 -5/91 23/43 -31/566 15/28 -4/73 -10/183 7/13 -5/92 20/37 -31/572 13/24 -2/37 6/11 -3/56 17/31 -19/356 79/144 -4/75 62/113 -69/1294 45/82 -25/469 28/51 -9/169 11/20 -4/75 -6/113 16/29 -5/94 5/9 -1/19 24/43 -9/172 19/34 -1/19 14/25 -7/134 9/16 -4/77 13/23 -3/58 17/30 -3/58 21/37 -27/524 25/44 -16/311 -2/39 4/7 -5/98 23/40 -2/39 42/73 -29/570 19/33 -3/59 34/59 -23/454 83/144 -4/79 49/85 -33/652 15/26 -5/99 26/45 -1/20 11/19 -1/20 7/12 -1/20 10/17 -1/20 23/39 -5/101 36/61 -17/344 85/144 -4/81 49/83 -23/466 13/22 -3/61 16/27 -1/20 19/32 -4/81 22/37 -23/468 3/5 -3/62 11/18 -1/21 19/31 -7/148 65/106 -1/21 46/75 -1/21 27/44 -8/169 -6/127 62/101 -43/910 35/57 -11/233 8/13 -3/64 37/60 -1/21 29/47 -3/64 21/34 -1/21 13/21 -1/21 44/71 -3/68 31/50 -1/21 49/79 -9/188 67/108 -1/21 18/29 -7/148 5/8 -2/43 22/35 -17/370 17/27 -1/22 46/73 -3/70 29/46 -1/21 12/19 -1/22 31/49 -1/22 19/30 -1/22 45/71 -5/104 26/41 -7/150 7/11 -1/22 23/36 -1/22 16/25 -1/22 9/14 -3/67 11/17 -1/22 35/54 -1/22 24/37 -15/332 37/57 -5/111 13/20 -4/89 -2/45 2/3 -1/23 13/19 -1/24 37/54 -1/24 24/35 -9/218 11/16 0/1 9/13 -1/24 25/36 -1/24 16/23 -1/24 7/10 -1/25 40/57 -1/21 33/47 -1/22 59/84 -1/23 26/37 -7/164 19/27 -1/24 50/71 -13/316 81/115 -13/318 31/44 -2/49 0/1 12/17 -1/24 29/41 -1/24 17/24 -2/49 22/31 -3/74 49/69 -1/25 76/107 -17/424 27/38 -1/25 5/7 -1/26 13/18 -1/25 21/29 -3/76 50/69 -1/25 129/178 -1/25 208/287 -21/524 287/396 -1/25 79/109 -11/276 29/40 -2/51 37/51 -1/27 45/62 -1/23 8/11 -1/26 35/48 0/1 27/37 -3/68 46/63 -1/24 19/26 -1/25 49/67 -5/124 79/108 -1/25 30/41 -3/76 11/15 -1/25 25/34 -1/25 39/53 -3/76 53/72 -2/51 14/19 -1/26 3/4 -2/51 0/1 13/17 -1/26 23/30 -1/26 10/13 -1/26 37/48 0/1 27/35 -3/70 71/92 -4/97 -2/49 44/57 -1/25 17/22 -1/25 24/31 -1/28 7/9 -1/26 32/41 -5/132 57/73 -9/242 25/32 0/1 68/87 -3/77 43/55 -1/26 18/23 -3/80 47/60 -1/27 76/97 -5/136 29/37 -5/138 40/51 -1/29 51/65 -1/38 113/144 0/1 62/79 -1/12 11/14 -1/25 15/19 -1/26 19/24 -2/53 4/5 -1/26 17/21 -1/27 30/37 -9/250 13/16 0/1 9/11 -3/82 32/39 -3/83 23/28 -2/55 -4/111 14/17 -1/28 5/6 -1/28 16/19 -1/28 43/51 -7/197 27/32 -4/113 11/13 -5/142 28/33 -5/143 17/20 -2/57 -4/115 6/7 -3/86 7/8 -2/59 8/9 -1/30 1/1 -1/34 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,1,0,1) (0/1,1/0) -> (1/1,1/0) Parabolic Matrix(181,-22,288,-35) (0/1,1/8) -> (5/8,22/35) Hyperbolic Matrix(179,-23,288,-37) (1/8,1/7) -> (18/29,5/8) Hyperbolic Matrix(397,-59,720,-107) (1/7,3/20) -> (11/20,16/29) Hyperbolic Matrix(251,-38,720,-109) (3/20,2/13) -> (8/23,7/20) Hyperbolic Matrix(37,-6,216,-35) (2/13,1/6) -> (1/6,4/23) Parabolic Matrix(1295,-226,1656,-289) (4/23,3/17) -> (43/55,18/23) Hyperbolic Matrix(863,-153,1224,-217) (3/17,5/28) -> (31/44,12/17) Hyperbolic Matrix(2341,-419,3816,-683) (5/28,7/39) -> (46/75,27/44) Hyperbolic Matrix(1151,-207,2808,-505) (7/39,2/11) -> (25/61,16/39) Hyperbolic Matrix(253,-47,576,-107) (2/11,3/16) -> (7/16,11/25) Hyperbolic Matrix(791,-149,1152,-217) (3/16,7/37) -> (24/35,11/16) Hyperbolic Matrix(575,-109,2664,-505) (7/37,4/21) -> (11/51,8/37) Hyperbolic Matrix(685,-131,936,-179) (4/21,1/5) -> (30/41,11/15) Hyperbolic Matrix(611,-128,864,-181) (1/5,4/19) -> (12/17,29/41) Hyperbolic Matrix(325,-69,504,-107) (4/19,3/14) -> (9/14,11/17) Hyperbolic Matrix(1583,-340,2016,-433) (3/14,14/65) -> (62/79,11/14) Hyperbolic Matrix(1693,-365,3168,-683) (14/65,11/51) -> (8/15,23/43) Hyperbolic Matrix(3743,-810,5328,-1153) (8/37,13/60) -> (59/84,26/37) Hyperbolic Matrix(1331,-289,2160,-469) (13/60,5/23) -> (8/13,37/60) Hyperbolic Matrix(973,-212,1152,-251) (5/23,7/32) -> (27/32,11/13) Hyperbolic Matrix(683,-150,1152,-253) (7/32,2/9) -> (16/27,19/32) Hyperbolic Matrix(469,-106,792,-179) (2/9,5/22) -> (13/22,16/27) Hyperbolic 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(683,-160,1080,-253) (3/13,4/17) -> (12/19,31/49) Hyperbolic Matrix(37,-9,144,-35) (4/17,1/4) -> (1/4,5/19) Parabolic Matrix(467,-124,1224,-325) (5/19,4/15) -> (8/21,21/55) Hyperbolic Matrix(757,-203,936,-251) (4/15,11/41) -> (4/5,17/21) Hyperbolic Matrix(2053,-552,2808,-755) (11/41,7/26) -> (19/26,49/67) Hyperbolic Matrix(2269,-612,3600,-971) (7/26,10/37) -> (46/73,29/46) Hyperbolic Matrix(361,-98,792,-215) (10/37,3/11) -> (5/11,16/35) Hyperbolic Matrix(181,-50,648,-179) (3/11,5/18) -> (5/18,7/25) Parabolic Matrix(2881,-808,4104,-1151) (7/25,16/57) -> (40/57,33/47) Hyperbolic Matrix(3601,-1012,4608,-1295) (16/57,9/32) -> (25/32,68/87) Hyperbolic Matrix(289,-82,504,-143) (9/32,2/7) -> (4/7,23/40) Hyperbolic Matrix(613,-177,1368,-395) (2/7,11/38) -> (17/38,13/29) Hyperbolic Matrix(2737,-794,4464,-1295) (11/38,9/31) -> (19/31,65/106) Hyperbolic Matrix(685,-199,864,-251) (9/31,7/24) -> (19/24,4/5) Hyperbolic Matrix(683,-200,864,-253) (7/24,5/17) -> (15/19,19/24) Hyperbolic Matrix(1007,-297,1224,-361) (5/17,13/44) -> (23/28,14/17) Hyperbolic Matrix(2699,-798,4752,-1405) (13/44,21/71) -> (21/37,25/44) Hyperbolic Matrix(2449,-725,3888,-1151) (21/71,8/27) -> (17/27,46/73) Hyperbolic Matrix(1223,-363,1944,-577) (8/27,11/37) -> (22/35,17/27) Hyperbolic Matrix(4175,-1242,5328,-1585) (11/37,14/47) -> (76/97,29/37) Hyperbolic Matrix(2195,-654,3024,-901) (14/47,3/10) -> (45/62,8/11) Hyperbolic Matrix(251,-76,360,-109) (3/10,4/13) -> (16/23,7/10) Hyperbolic Matrix(325,-101,576,-179) (4/13,5/16) -> (9/16,13/23) Hyperbolic Matrix(935,-293,1152,-361) (5/16,11/35) -> (30/37,13/16) Hyperbolic Matrix(2521,-793,3888,-1223) (11/35,17/54) -> (35/54,24/37) Hyperbolic Matrix(1259,-397,1944,-613) (17/54,6/19) -> (11/17,35/54) Hyperbolic Matrix(325,-103,792,-251) (6/19,1/3) -> (16/39,7/17) Hyperbolic Matrix(397,-137,936,-323) (1/3,8/23) -> (25/59,14/33) Hyperbolic Matrix(3167,-1112,4104,-1441) (7/20,13/37) -> (27/35,71/92) Hyperbolic Matrix(2665,-937,3888,-1367) (13/37,19/54) -> (37/54,24/35) Hyperbolic Matrix(1331,-469,1944,-685) (19/54,6/17) -> (13/19,37/54) Hyperbolic Matrix(397,-141,504,-179) (6/17,5/14) -> (11/14,15/19) Hyperbolic Matrix(323,-116,504,-181) (5/14,4/11) -> (16/25,9/14) Hyperbolic Matrix(359,-131,792,-289) (4/11,15/41) -> (14/31,5/11) Hyperbolic Matrix(1115,-408,1872,-685) (15/41,26/71) -> (22/37,3/5) Hyperbolic Matrix(1837,-673,3240,-1187) (26/71,11/30) -> (17/30,21/37) Hyperbolic Matrix(827,-304,1080,-397) (11/30,7/19) -> (13/17,23/30) Hyperbolic Matrix(791,-292,1368,-505) (7/19,10/27) -> (26/45,11/19) Hyperbolic Matrix(253,-94,288,-107) (10/27,3/8) -> (7/8,8/9) Hyperbolic Matrix(251,-95,288,-109) (3/8,11/29) -> (6/7,7/8) Hyperbolic Matrix(3349,-1272,5400,-2051) (11/29,19/50) -> (31/50,49/79) Hyperbolic Matrix(2557,-972,3312,-1259) (19/50,8/21) -> (44/57,17/22) Hyperbolic Matrix(2701,-1032,3672,-1403) (21/55,13/34) -> (25/34,39/53) Hyperbolic Matrix(1079,-413,2448,-937) (13/34,18/47) -> (11/25,15/34) Hyperbolic Matrix(6769,-2594,8640,-3311) (18/47,23/60) -> (47/60,76/97) Hyperbolic Matrix(1691,-649,2160,-829) (23/60,5/13) -> (18/23,47/60) Hyperbolic Matrix(253,-98,648,-251) (5/13,7/18) -> (7/18,9/23) Parabolic Matrix(541,-212,1008,-395) (9/23,11/28) -> (15/28,7/13) Hyperbolic Matrix(1655,-651,2016,-793) (11/28,13/33) -> (32/39,23/28) Hyperbolic Matrix(971,-384,1368,-541) (13/33,2/5) -> (22/31,49/69) Hyperbolic Matrix(613,-250,792,-323) (2/5,9/22) -> (17/22,24/31) Hyperbolic Matrix(1871,-766,3168,-1297) (9/22,25/61) -> (49/83,13/22) Hyperbolic Matrix(181,-75,432,-179) (7/17,5/12) -> (5/12,8/19) Parabolic Matrix(863,-364,1368,-577) (8/19,11/26) -> (29/46,12/19) Hyperbolic Matrix(2159,-914,3744,-1585) (11/26,25/59) -> (49/85,15/26) Hyperbolic Matrix(1043,-444,1440,-613) (14/33,3/7) -> (21/29,50/69) Hyperbolic Matrix(3347,-1446,4752,-2053) (3/7,16/37) -> (50/71,81/115) Hyperbolic Matrix(2053,-889,3240,-1403) (16/37,13/30) -> (19/30,45/71) Hyperbolic Matrix(1367,-593,2160,-937) (13/30,10/23) -> (31/49,19/30) Hyperbolic Matrix(397,-173,576,-251) (10/23,7/16) -> (11/16,9/13) Hyperbolic Matrix(289,-128,648,-287) (15/34,4/9) -> (4/9,17/38) Parabolic Matrix(613,-275,720,-323) (13/29,9/20) -> (17/20,6/7) Hyperbolic Matrix(1403,-632,2160,-973) (9/20,23/51) -> (37/57,13/20) Hyperbolic Matrix(3637,-1641,5184,-2339) (23/51,37/82) -> (7/10,40/57) Hyperbolic Matrix(6479,-2924,11808,-5329) (37/82,14/31) -> (62/113,45/82) Hyperbolic Matrix(1943,-889,2520,-1153) (16/35,11/24) -> (37/48,27/35) Hyperbolic Matrix(721,-332,936,-431) (11/24,6/13) -> (10/13,37/48) Hyperbolic Matrix(575,-266,936,-433) (6/13,7/15) -> (35/57,8/13) Hyperbolic Matrix(971,-456,1152,-541) (7/15,8/17) -> (16/19,43/51) Hyperbolic Matrix(37,-18,72,-35) (8/17,1/2) -> (1/2,10/19) Parabolic Matrix(685,-361,1296,-683) (10/19,19/36) -> (19/36,9/17) Parabolic Matrix(1801,-956,2304,-1223) (9/17,8/15) -> (68/87,43/55) Hyperbolic Matrix(1187,-635,2088,-1117) (23/43,15/28) -> (25/44,4/7) Hyperbolic Matrix(1943,-1051,2664,-1441) (20/37,13/24) -> (35/48,27/37) Hyperbolic Matrix(577,-314,792,-431) (13/24,6/11) -> (8/11,35/48) Hyperbolic Matrix(503,-275,792,-433) (6/11,17/31) -> (26/41,7/11) Hyperbolic Matrix(11377,-6241,20736,-11375) (17/31,79/144) -> (79/144,62/113) Parabolic Matrix(5329,-2925,7344,-4031) (45/82,28/51) -> (37/51,45/62) Hyperbolic Matrix(4501,-2472,5832,-3203) (28/51,11/20) -> (71/92,44/57) Hyperbolic Matrix(361,-200,648,-359) (16/29,5/9) -> (5/9,24/43) Parabolic Matrix(1331,-743,1872,-1045) (24/43,19/34) -> (27/38,5/7) Hyperbolic Matrix(1511,-845,2448,-1369) (19/34,14/25) -> (29/47,21/34) Hyperbolic Matrix(469,-263,576,-323) (14/25,9/16) -> (13/16,9/11) Hyperbolic Matrix(829,-469,1080,-611) (13/23,17/30) -> (23/30,10/13) Hyperbolic Matrix(4105,-2361,5256,-3023) (23/40,42/73) -> (57/73,25/32) Hyperbolic Matrix(6085,-3502,8568,-4931) (42/73,19/33) -> (49/69,76/107) Hyperbolic Matrix(2015,-1161,2376,-1369) (19/33,34/59) -> (11/13,28/33) Hyperbolic Matrix(11953,-6889,20736,-11951) (34/59,83/144) -> (83/144,49/85) Parabolic Matrix(2051,-1184,2808,-1621) (15/26,26/45) -> (46/63,19/26) Hyperbolic Matrix(253,-147,432,-251) (11/19,7/12) -> (7/12,10/17) Parabolic Matrix(541,-319,792,-467) (10/17,23/39) -> (2/3,13/19) Hyperbolic Matrix(2303,-1359,2808,-1657) (23/39,36/61) -> (9/11,32/39) Hyperbolic Matrix(12241,-7225,20736,-12239) (36/61,85/144) -> (85/144,49/83) Parabolic Matrix(3601,-2139,4968,-2951) (19/32,22/37) -> (79/109,29/40) Hyperbolic Matrix(397,-242,648,-395) (3/5,11/18) -> (11/18,19/31) Parabolic Matrix(14975,-9184,20664,-12673) (65/106,46/75) -> (50/69,129/178) Hyperbolic Matrix(6695,-4109,9504,-5833) (27/44,62/101) -> (81/115,31/44) Hyperbolic Matrix(6947,-4265,8856,-5437) (62/101,35/57) -> (40/51,51/65) Hyperbolic Matrix(4753,-2932,6768,-4175) (37/60,29/47) -> (33/47,59/84) Hyperbolic Matrix(899,-556,1224,-757) (21/34,13/21) -> (11/15,25/34) Hyperbolic Matrix(3131,-1940,4824,-2989) (13/21,44/71) -> (24/37,37/57) Hyperbolic Matrix(7237,-4489,11664,-7235) (49/79,67/108) -> (67/108,18/29) Parabolic Matrix(4609,-2922,5904,-3743) (45/71,26/41) -> (32/41,57/73) Hyperbolic Matrix(829,-529,1296,-827) (7/11,23/36) -> (23/36,16/25) Parabolic Matrix(611,-398,720,-469) (13/20,2/3) -> (28/33,17/20) Hyperbolic Matrix(901,-625,1296,-899) (9/13,25/36) -> (25/36,16/23) Parabolic Matrix(323,-227,360,-253) (26/37,19/27) -> (8/9,1/1) Hyperbolic Matrix(3995,-2813,5472,-3853) (19/27,50/71) -> (27/37,46/63) Hyperbolic Matrix(1225,-867,1728,-1223) (29/41,17/24) -> (17/24,22/31) Parabolic Matrix(21707,-15420,29952,-21277) (76/107,27/38) -> (129/178,208/287) Hyperbolic Matrix(469,-338,648,-467) (5/7,13/18) -> (13/18,21/29) Parabolic Matrix(113653,-82369,156816,-113651) (208/287,287/396) -> (287/396,79/109) Parabolic Matrix(3097,-2246,3672,-2663) (29/40,37/51) -> (43/51,27/32) Hyperbolic Matrix(8533,-6241,11664,-8531) (49/67,79/108) -> (79/108,30/41) Parabolic Matrix(3817,-2809,5184,-3815) (39/53,53/72) -> (53/72,14/19) Parabolic Matrix(109,-81,144,-107) (14/19,3/4) -> (3/4,13/17) Parabolic Matrix(505,-392,648,-503) (24/31,7/9) -> (7/9,32/41) Parabolic Matrix(2159,-1693,2664,-2089) (29/37,40/51) -> (17/21,30/37) Hyperbolic Matrix(16273,-12769,20736,-16271) (51/65,113/144) -> (113/144,62/79) Parabolic Matrix(181,-150,216,-179) (14/17,5/6) -> (5/6,16/19) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,1,0,1) -> Matrix(1,0,-34,1) Matrix(181,-22,288,-35) -> Matrix(17,4,-370,-87) Matrix(179,-23,288,-37) -> Matrix(19,4,-404,-85) Matrix(397,-59,720,-107) -> Matrix(41,8,-774,-151) Matrix(251,-38,720,-109) -> Matrix(43,8,-500,-93) Matrix(37,-6,216,-35) -> Matrix(11,2,-72,-13) Matrix(1295,-226,1656,-289) -> Matrix(11,2,-292,-53) Matrix(863,-153,1224,-217) -> Matrix(13,2,-306,-47) Matrix(2341,-419,3816,-683) -> Matrix(139,22,-2938,-465) Matrix(1151,-207,2808,-505) -> Matrix(141,22,-1942,-303) Matrix(253,-47,576,-107) -> Matrix(29,4,-428,-59) Matrix(791,-149,1152,-217) -> Matrix(1,0,-18,1) Matrix(575,-109,2664,-505) -> Matrix(13,2,-72,-11) Matrix(685,-131,936,-179) -> Matrix(13,2,-332,-51) Matrix(611,-128,864,-181) -> Matrix(31,4,-752,-97) Matrix(325,-69,504,-107) -> Matrix(15,2,-338,-45) Matrix(1583,-340,2016,-433) -> Matrix(1,0,-16,1) Matrix(1693,-365,3168,-683) -> Matrix(15,4,-274,-73) Matrix(3743,-810,5328,-1153) -> Matrix(27,4,-628,-93) Matrix(1331,-289,2160,-469) -> Matrix(1,0,-14,1) Matrix(973,-212,1152,-251) -> Matrix(31,4,-876,-113) Matrix(683,-150,1152,-253) -> Matrix(31,4,-628,-81) Matrix(469,-106,792,-179) -> Matrix(15,2,-308,-41) Matrix(2053,-468,3312,-755) -> Matrix(1,0,-12,1) Matrix(505,-116,936,-215) -> Matrix(11,2,-204,-37) Matrix(683,-160,1080,-253) -> Matrix(17,2,-366,-43) Matrix(37,-9,144,-35) -> Matrix(1,0,0,1) Matrix(467,-124,1224,-325) -> Matrix(19,2,-238,-25) Matrix(757,-203,936,-251) -> Matrix(17,2,-468,-55) Matrix(2053,-552,2808,-755) -> Matrix(19,2,-466,-49) Matrix(2269,-612,3600,-971) -> Matrix(1,0,-12,1) Matrix(361,-98,792,-215) -> Matrix(13,2,-202,-31) Matrix(181,-50,648,-179) -> Matrix(17,2,-162,-19) Matrix(2881,-808,4104,-1151) -> Matrix(19,2,-428,-45) Matrix(3601,-1012,4608,-1295) -> Matrix(1,0,-16,1) Matrix(289,-82,504,-143) -> Matrix(21,2,-410,-39) Matrix(613,-177,1368,-395) -> Matrix(53,6,-804,-91) Matrix(2737,-794,4464,-1295) -> Matrix(35,4,-744,-85) Matrix(685,-199,864,-251) -> Matrix(37,4,-990,-107) Matrix(683,-200,864,-253) -> Matrix(39,4,-1024,-105) Matrix(1007,-297,1224,-361) -> Matrix(21,2,-578,-55) Matrix(2699,-798,4752,-1405) -> Matrix(153,16,-2974,-311) Matrix(2449,-725,3888,-1151) -> Matrix(39,4,-868,-89) Matrix(1223,-363,1944,-577) -> Matrix(61,6,-1332,-131) Matrix(4175,-1242,5328,-1585) -> Matrix(43,4,-1172,-109) Matrix(2195,-654,3024,-901) -> Matrix(1,0,-14,1) Matrix(251,-76,360,-109) -> Matrix(19,2,-466,-49) Matrix(325,-101,576,-179) -> Matrix(43,4,-828,-77) Matrix(935,-293,1152,-361) -> Matrix(1,0,-18,1) Matrix(2521,-793,3888,-1223) -> Matrix(119,12,-2628,-265) Matrix(1259,-397,1944,-613) -> Matrix(21,2,-452,-43) Matrix(325,-103,792,-251) -> Matrix(61,6,-844,-83) Matrix(397,-137,936,-323) -> Matrix(113,10,-1616,-143) Matrix(3167,-1112,4104,-1441) -> Matrix(71,6,-1716,-145) Matrix(2665,-937,3888,-1367) -> Matrix(143,12,-3444,-289) Matrix(1331,-469,1944,-685) -> Matrix(25,2,-588,-47) Matrix(397,-141,504,-179) -> Matrix(23,2,-610,-53) Matrix(323,-116,504,-181) -> Matrix(71,6,-1574,-133) Matrix(359,-131,792,-289) -> Matrix(123,10,-1882,-153) Matrix(1115,-408,1872,-685) -> Matrix(101,8,-2058,-163) Matrix(1837,-673,3240,-1187) -> Matrix(21,2,-410,-39) Matrix(827,-304,1080,-397) -> Matrix(25,2,-638,-51) Matrix(791,-292,1368,-505) -> Matrix(73,6,-1448,-119) Matrix(253,-94,288,-107) -> Matrix(49,4,-1458,-119) Matrix(251,-95,288,-109) -> Matrix(51,4,-1492,-117) Matrix(3349,-1272,5400,-2051) -> Matrix(27,2,-554,-41) Matrix(2557,-972,3312,-1259) -> Matrix(1,0,-12,1) Matrix(2701,-1032,3672,-1403) -> Matrix(77,6,-1938,-151) Matrix(1079,-413,2448,-937) -> Matrix(53,4,-782,-59) Matrix(6769,-2594,8640,-3311) -> Matrix(103,8,-2794,-217) Matrix(1691,-649,2160,-829) -> Matrix(1,0,-14,1) Matrix(253,-98,648,-251) -> Matrix(129,10,-1690,-131) Matrix(541,-212,1008,-395) -> Matrix(211,16,-3864,-293) Matrix(1655,-651,2016,-793) -> Matrix(107,8,-2956,-221) Matrix(971,-384,1368,-541) -> Matrix(79,6,-1962,-149) Matrix(613,-250,792,-323) -> Matrix(27,2,-716,-53) Matrix(1871,-766,3168,-1297) -> Matrix(329,24,-6676,-487) Matrix(181,-75,432,-179) -> Matrix(111,8,-1568,-113) Matrix(863,-364,1368,-577) -> Matrix(85,6,-1856,-131) Matrix(2159,-914,3744,-1585) -> Matrix(569,40,-11252,-791) Matrix(1043,-444,1440,-613) -> Matrix(57,4,-1468,-103) Matrix(3347,-1446,4752,-2053) -> Matrix(233,16,-5694,-391) Matrix(2053,-889,3240,-1403) -> Matrix(29,2,-682,-47) Matrix(1367,-593,2160,-937) -> Matrix(59,4,-1254,-85) Matrix(397,-173,576,-251) -> Matrix(59,4,-1372,-93) Matrix(289,-128,648,-287) -> Matrix(209,14,-3150,-211) Matrix(613,-275,720,-323) -> Matrix(121,8,-3494,-231) Matrix(1403,-632,2160,-973) -> Matrix(243,16,-5422,-357) Matrix(3637,-1641,5184,-2339) -> Matrix(61,4,-1144,-75) Matrix(6479,-2924,11808,-5329) -> Matrix(3049,200,-57184,-3751) Matrix(1943,-889,2520,-1153) -> Matrix(31,2,-574,-37) Matrix(721,-332,936,-431) -> Matrix(31,2,-884,-57) Matrix(575,-266,936,-433) -> Matrix(219,14,-4646,-297) Matrix(971,-456,1152,-541) -> Matrix(191,12,-5364,-337) Matrix(37,-18,72,-35) -> Matrix(33,2,-578,-35) Matrix(685,-361,1296,-683) -> Matrix(575,32,-10368,-577) Matrix(1801,-956,2304,-1223) -> Matrix(145,8,-3752,-207) Matrix(1187,-635,2088,-1117) -> Matrix(767,42,-14920,-817) Matrix(1943,-1051,2664,-1441) -> Matrix(37,2,-648,-35) Matrix(577,-314,792,-431) -> Matrix(37,2,-1018,-55) Matrix(503,-275,792,-433) -> Matrix(187,10,-4058,-217) Matrix(11377,-6241,20736,-11375) -> Matrix(6599,352,-123750,-6601) Matrix(5329,-2925,7344,-4031) -> Matrix(75,4,-2194,-117) Matrix(4501,-2472,5832,-3203) -> Matrix(263,14,-6406,-341) Matrix(361,-200,648,-359) -> Matrix(265,14,-5054,-267) Matrix(1331,-743,1872,-1045) -> Matrix(153,8,-3806,-199) Matrix(1511,-845,2448,-1369) -> Matrix(77,4,-1598,-83) Matrix(469,-263,576,-323) -> Matrix(77,4,-2060,-107) Matrix(829,-469,1080,-611) -> Matrix(39,2,-956,-49) Matrix(4105,-2361,5256,-3023) -> Matrix(39,2,-1112,-57) Matrix(6085,-3502,8568,-4931) -> Matrix(433,22,-10766,-547) Matrix(2015,-1161,2376,-1369) -> Matrix(513,26,-14660,-743) Matrix(11953,-6889,20736,-11951) -> Matrix(4423,224,-87374,-4425) Matrix(2051,-1184,2808,-1621) -> Matrix(119,6,-2876,-145) Matrix(253,-147,432,-251) -> Matrix(159,8,-3200,-161) Matrix(541,-319,792,-467) -> Matrix(121,6,-2884,-143) Matrix(2303,-1359,2808,-1657) -> Matrix(445,22,-12278,-607) Matrix(12241,-7225,20736,-12239) -> Matrix(3239,160,-65610,-3241) Matrix(3601,-2139,4968,-2951) -> Matrix(203,10,-5136,-253) Matrix(397,-242,648,-395) -> Matrix(209,10,-4410,-211) Matrix(14975,-9184,20664,-12673) -> Matrix(211,10,-5254,-249) Matrix(6695,-4109,9504,-5833) -> Matrix(169,8,-4204,-199) Matrix(6947,-4265,8856,-5437) -> Matrix(127,6,-3916,-185) Matrix(4753,-2932,6768,-4175) -> Matrix(85,4,-1934,-91) Matrix(899,-556,1224,-757) -> Matrix(43,2,-1054,-49) Matrix(3131,-1940,4824,-2989) -> Matrix(131,6,-2904,-133) Matrix(7237,-4489,11664,-7235) -> Matrix(335,16,-7056,-337) Matrix(4609,-2922,5904,-3743) -> Matrix(85,4,-2274,-107) Matrix(829,-529,1296,-827) -> Matrix(351,16,-7744,-353) Matrix(611,-398,720,-469) -> Matrix(179,8,-5124,-229) Matrix(901,-625,1296,-899) -> Matrix(191,8,-4608,-193) Matrix(323,-227,360,-253) -> Matrix(47,2,-1434,-61) Matrix(3995,-2813,5472,-3853) -> Matrix(97,4,-2304,-95) Matrix(1225,-867,1728,-1223) -> Matrix(195,8,-4802,-197) Matrix(21707,-15420,29952,-21277) -> Matrix(101,4,-2500,-99) Matrix(469,-338,648,-467) -> Matrix(49,2,-1250,-51) Matrix(113653,-82369,156816,-113651) -> Matrix(799,32,-20000,-801) Matrix(3097,-2246,3672,-2663) -> Matrix(155,6,-4366,-169) Matrix(8533,-6241,11664,-8531) -> Matrix(199,8,-5000,-201) Matrix(3817,-2809,5184,-3815) -> Matrix(203,8,-5202,-205) Matrix(109,-81,144,-107) -> Matrix(1,0,0,1) Matrix(505,-392,648,-503) -> Matrix(51,2,-1352,-53) Matrix(2159,-1693,2664,-2089) -> Matrix(57,2,-1568,-55) Matrix(16273,-12769,20736,-16271) -> Matrix(1,0,26,1) Matrix(181,-150,216,-179) -> Matrix(55,2,-1568,-57) 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): 72 ----------------------------------------------------------------------- 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 1/0 1 36 1/8 -2/9 2 9 1/7 -3/16 1 36 3/20 0 9 2/13 -5/28 1 36 1/6 -1/6 2 6 4/23 -1/4 1 36 3/17 -1/6 1 36 5/28 0 9 7/39 -3/19 1 12 2/11 -3/20 1 36 3/16 0/1 2 9 7/37 -9/56 1 36 4/21 -1/7 1 12 1/5 -1/8 1 36 4/19 -1/8 1 36 3/14 -1/9 2 18 31/144 0/1 26 1 14/65 1/4 1 36 11/51 -1/5 1 12 8/37 -5/32 1 36 13/60 -1/7 8 3 5/23 -3/22 1 36 12/55 -1/8 1 36 7/32 0/1 2 9 2/9 -1/8 1 4 5/22 -1/9 2 18 8/35 -3/32 1 36 3/13 -1/8 1 36 4/17 -1/8 1 36 1/4 0 9 5/19 -1/8 1 36 4/15 -1/9 1 12 11/41 -3/26 1 36 29/108 -1/9 8 1 7/26 -1/9 2 18 10/37 -3/34 1 36 3/11 -1/8 1 36 5/18 -1/9 2 2 7/25 -1/10 1 36 16/57 -3/29 1 12 9/32 0/1 2 9 2/7 -1/8 1 36 11/38 -1/9 2 18 9/31 -3/28 1 36 7/24 -2/19 2 3 12/41 -1/10 1 36 5/17 -1/10 1 36 13/44 0 9 21/71 -13/126 1 36 8/27 -1/10 5 4 11/37 -7/74 1 36 14/47 -1/12 1 36 17/57 -1/13 1 12 3/10 -1/9 2 18 11/36 -1/10 8 1 4/13 -1/10 1 36 5/16 0/1 2 9 11/35 -9/88 1 36 17/54 -1/10 14 2 6/19 -1/10 1 36 1/3 -1/11 1 12 8/23 -9/104 1 36 7/20 0 9 13/37 -15/178 1 36 19/54 -1/12 14 2 6/17 -1/12 1 36 5/14 -3/35 2 18 13/36 -1/12 16 1 4/11 -1/12 1 36 15/41 -7/88 1 36 26/71 -5/66 1 36 11/30 -1/12 2 6 18/49 -1/12 1 36 7/19 -1/12 1 36 10/27 -1/12 5 4 13/35 -17/208 1 36 3/8 -2/25 2 9 11/29 -7/90 1 36 41/108 -1/13 16 1 19/50 -1/13 2 18 27/71 -3/34 1 36 8/21 -1/13 1 12 21/55 -3/38 1 36 55/144 -4/51 2 1 13/34 -1/13 2 18 18/47 -3/38 1 36 41/107 -19/244 1 36 23/60 -1/13 8 3 5/13 -3/38 1 36 7/18 -1/13 10 2 9/23 -7/92 1 36 11/28 0 9 13/33 -1/13 1 12 15/38 -1/13 2 18 2/5 -3/40 1 36 15/37 -23/314 1 36 13/32 -4/55 2 9 11/27 -1/14 1 4 9/22 -3/41 2 18 59/144 -4/55 10 1 25/61 -17/234 1 36 16/39 -5/69 1 12 7/17 -1/14 1 36 5/12 -1/14 8 3 8/19 -1/14 1 36 19/45 -1/14 5 4 30/71 -27/382 1 36 11/26 -5/71 2 18 61/144 -4/57 14 1 25/59 -23/328 1 36 14/33 -3/43 1 12 45/106 -3/43 2 18 107/252 -3/43 32 1 31/73 -29/416 1 36 17/40 -2/29 2 9 3/7 -5/72 1 36 19/44 0 9 16/37 -27/394 1 36 13/30 -3/44 2 6 10/23 -3/44 1 36 7/16 -4/59 2 9 11/25 -7/104 1 36 15/34 -1/15 2 18 4/9 -1/15 7 4 17/38 -1/15 2 18 13/29 -5/76 1 36 9/20 0 9 32/71 -43/654 1 36 23/51 -9/137 1 12 37/82 -25/381 2 18 65/144 -4/61 22 1 14/31 -19/290 1 36 5/11 -3/46 1 36 16/35 -29/448 1 36 11/24 -2/31 10 3 17/37 -31/482 1 36 6/13 -5/78 1 36 13/28 0 9 20/43 -31/488 1 36 7/15 -5/79 1 12 15/32 -8/127 2 9 8/17 -1/16 1 36 17/36 -1/16 32 1 1/2 -1/17 2 18 1/0 0/1 34 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(107,-13,288,-35) (0/1,1/8) -> (13/35,3/8) Glide Reflection Matrix(109,-14,288,-37) (1/8,1/7) -> (3/8,11/29) Glide Reflection Matrix(323,-48,720,-107) (1/7,3/20) -> (13/29,9/20) Glide Reflection Matrix(251,-38,720,-109) (3/20,2/13) -> (8/23,7/20) Hyperbolic Matrix(37,-6,216,-35) (2/13,1/6) -> (1/6,4/23) Parabolic Matrix(361,-63,1656,-289) (4/23,3/17) -> (5/23,12/55) Glide Reflection Matrix(361,-64,1224,-217) (3/17,5/28) -> (5/17,13/44) Glide Reflection Matrix(793,-142,2016,-361) (5/28,7/39) -> (11/28,13/33) Glide Reflection Matrix(1151,-207,2808,-505) (7/39,2/11) -> (25/61,16/39) Hyperbolic Matrix(253,-47,576,-107) (2/11,3/16) -> (7/16,11/25) Hyperbolic Matrix(361,-68,1152,-217) (3/16,7/37) -> (5/16,11/35) Glide Reflection Matrix(575,-109,2664,-505) (7/37,4/21) -> (11/51,8/37) Hyperbolic Matrix(251,-48,936,-179) (4/21,1/5) -> (4/15,11/41) Glide Reflection Matrix(253,-53,864,-181) (1/5,4/19) -> (12/41,5/17) Glide Reflection Matrix(179,-38,504,-107) (4/19,3/14) -> (6/17,5/14) Glide Reflection Matrix(433,-93,2016,-433) (3/14,31/144) -> (3/14,31/144) Reflection Matrix(4031,-868,18720,-4031) (31/144,14/65) -> (31/144,14/65) Reflection Matrix(1475,-318,3168,-683) (14/65,11/51) -> (20/43,7/15) Glide Reflection Matrix(3311,-717,8640,-1871) (8/37,13/60) -> (41/107,23/60) Glide Reflection Matrix(829,-180,2160,-469) (13/60,5/23) -> (23/60,5/13) Glide Reflection Matrix(1081,-236,2304,-503) (12/55,7/32) -> (15/32,8/17) Hyperbolic Matrix(469,-103,1152,-253) (7/32,2/9) -> (13/32,11/27) Glide Reflection Matrix(323,-73,792,-179) (2/9,5/22) -> (11/27,9/22) Glide Reflection Matrix(1259,-287,3312,-755) (5/22,8/35) -> (19/50,27/71) Glide Reflection Matrix(431,-99,936,-215) (8/35,3/13) -> (17/37,6/13) Glide Reflection Matrix(397,-93,1080,-253) (3/13,4/17) -> (18/49,7/19) Glide Reflection Matrix(37,-9,144,-35) (4/17,1/4) -> (1/4,5/19) Parabolic Matrix(467,-124,1224,-325) (5/19,4/15) -> (8/21,21/55) Hyperbolic Matrix(2377,-638,8856,-2377) (11/41,29/108) -> (11/41,29/108) Reflection Matrix(755,-203,2808,-755) (29/108,7/26) -> (29/108,7/26) Reflection Matrix(1187,-320,2808,-757) (7/26,10/37) -> (30/71,11/26) Hyperbolic Matrix(361,-98,792,-215) (10/37,3/11) -> (5/11,16/35) Hyperbolic Matrix(181,-50,648,-179) (3/11,5/18) -> (5/18,7/25) Parabolic Matrix(1223,-343,4104,-1151) (7/25,16/57) -> (14/47,17/57) Glide Reflection Matrix(1079,-303,2304,-647) (16/57,9/32) -> (7/15,15/32) Glide Reflection Matrix(215,-61,504,-143) (9/32,2/7) -> (17/40,3/7) Glide Reflection Matrix(613,-177,1368,-395) (2/7,11/38) -> (17/38,13/29) Hyperbolic Matrix(541,-157,1368,-397) (11/38,9/31) -> (15/38,2/5) Glide Reflection Matrix(505,-147,1728,-503) (9/31,7/24) -> (7/24,12/41) Parabolic Matrix(2053,-607,4752,-1405) (13/44,21/71) -> (19/44,16/37) Glide Reflection Matrix(2159,-639,5112,-1513) (21/71,8/27) -> (19/45,30/71) Hyperbolic Matrix(721,-214,1944,-577) (8/27,11/37) -> (10/27,13/35) Glide Reflection Matrix(2593,-772,6768,-2015) (11/37,14/47) -> (18/47,41/107) Hyperbolic Matrix(2339,-698,5184,-1547) (17/57,3/10) -> (23/51,37/82) Glide Reflection Matrix(109,-33,360,-109) (3/10,11/36) -> (3/10,11/36) Reflection Matrix(287,-88,936,-287) (11/36,4/13) -> (11/36,4/13) Reflection Matrix(251,-78,576,-179) (4/13,5/16) -> (10/23,7/16) Glide Reflection Matrix(1367,-430,3888,-1223) (11/35,17/54) -> (13/37,19/54) Glide Reflection Matrix(685,-216,1944,-613) (17/54,6/19) -> (19/54,6/17) Glide Reflection Matrix(325,-103,792,-251) (6/19,1/3) -> (16/39,7/17) Hyperbolic Matrix(397,-137,936,-323) (1/3,8/23) -> (25/59,14/33) Hyperbolic Matrix(973,-341,2160,-757) (7/20,13/37) -> (9/20,32/71) Glide Reflection Matrix(181,-65,504,-181) (5/14,13/36) -> (5/14,13/36) Reflection Matrix(287,-104,792,-287) (13/36,4/11) -> (13/36,4/11) Reflection Matrix(359,-131,792,-289) (4/11,15/41) -> (14/31,5/11) Hyperbolic Matrix(757,-277,1872,-685) (15/41,26/71) -> (2/5,15/37) Glide Reflection Matrix(1403,-514,3240,-1187) (26/71,11/30) -> (16/37,13/30) Glide Reflection Matrix(937,-344,2160,-793) (11/30,18/49) -> (13/30,10/23) Glide Reflection Matrix(577,-213,1368,-505) (7/19,10/27) -> (8/19,19/45) Glide Reflection Matrix(2377,-902,6264,-2377) (11/29,41/108) -> (11/29,41/108) Reflection Matrix(2051,-779,5400,-2051) (41/108,19/50) -> (41/108,19/50) Reflection Matrix(2305,-877,5112,-1945) (27/71,8/21) -> (32/71,23/51) Glide Reflection Matrix(6049,-2310,15840,-6049) (21/55,55/144) -> (21/55,55/144) Reflection Matrix(1871,-715,4896,-1871) (55/144,13/34) -> (55/144,13/34) Reflection Matrix(1079,-413,2448,-937) (13/34,18/47) -> (11/25,15/34) Hyperbolic Matrix(253,-98,648,-251) (5/13,7/18) -> (7/18,9/23) Parabolic Matrix(467,-183,1008,-395) (9/23,11/28) -> (6/13,13/28) Glide Reflection Matrix(2017,-795,4752,-1873) (13/33,15/38) -> (14/33,45/106) Glide Reflection Matrix(1621,-658,3816,-1549) (15/37,13/32) -> (31/73,17/40) Glide Reflection Matrix(1297,-531,3168,-1297) (9/22,59/144) -> (9/22,59/144) Reflection Matrix(7199,-2950,17568,-7199) (59/144,25/61) -> (59/144,25/61) Reflection Matrix(181,-75,432,-179) (7/17,5/12) -> (5/12,8/19) Parabolic Matrix(1585,-671,3744,-1585) (11/26,61/144) -> (11/26,61/144) Reflection Matrix(7199,-3050,16992,-7199) (61/144,25/59) -> (61/144,25/59) Reflection Matrix(11341,-4815,26712,-11341) (45/106,107/252) -> (45/106,107/252) Reflection Matrix(15623,-6634,36792,-15623) (107/252,31/73) -> (107/252,31/73) Reflection Matrix(971,-419,2088,-901) (3/7,19/44) -> (13/28,20/43) Hyperbolic Matrix(289,-128,648,-287) (15/34,4/9) -> (4/9,17/38) Parabolic Matrix(5329,-2405,11808,-5329) (37/82,65/144) -> (37/82,65/144) Reflection Matrix(4031,-1820,8928,-4031) (65/144,14/31) -> (65/144,14/31) Reflection Matrix(793,-363,1728,-791) (16/35,11/24) -> (11/24,17/37) Parabolic Matrix(577,-272,1224,-577) (8/17,17/36) -> (8/17,17/36) Reflection Matrix(35,-17,72,-35) (17/36,1/2) -> (17/36,1/2) Reflection Matrix(-1,1,0,1) (1/2,1/0) -> (1/2,1/0) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Matrix(107,-13,288,-35) -> Matrix(17,4,-208,-49) Matrix(109,-14,288,-37) -> Matrix(19,4,-242,-51) Matrix(323,-48,720,-107) -> Matrix(41,8,-620,-121) Matrix(251,-38,720,-109) -> Matrix(43,8,-500,-93) Matrix(37,-6,216,-35) -> Matrix(11,2,-72,-13) -1/6 Matrix(361,-63,1656,-289) -> Matrix(11,2,-82,-15) Matrix(361,-64,1224,-217) -> Matrix(13,2,-136,-21) Matrix(793,-142,2016,-361) -> Matrix(51,8,-682,-107) Matrix(1151,-207,2808,-505) -> Matrix(141,22,-1942,-303) Matrix(253,-47,576,-107) -> Matrix(29,4,-428,-59) Matrix(361,-68,1152,-217) -> Matrix(-1,0,16,1) *** -> (-1/8,0/1) Matrix(575,-109,2664,-505) -> Matrix(13,2,-72,-11) -1/6 Matrix(251,-48,936,-179) -> Matrix(13,2,-110,-17) Matrix(253,-53,864,-181) -> Matrix(31,4,-302,-39) Matrix(179,-38,504,-107) -> Matrix(15,2,-172,-23) Matrix(433,-93,2016,-433) -> Matrix(-1,0,18,1) (3/14,31/144) -> (-1/9,0/1) Matrix(4031,-868,18720,-4031) -> Matrix(1,0,8,-1) (31/144,14/65) -> (0/1,1/4) Matrix(1475,-318,3168,-683) -> Matrix(15,4,-236,-63) Matrix(3311,-717,8640,-1871) -> Matrix(55,8,-708,-103) Matrix(829,-180,2160,-469) -> Matrix(-1,0,20,1) *** -> (-1/10,0/1) Matrix(1081,-236,2304,-503) -> Matrix(65,8,-1032,-127) Matrix(469,-103,1152,-253) -> Matrix(31,4,-426,-55) Matrix(323,-73,792,-179) -> Matrix(15,2,-202,-27) Matrix(1259,-287,3312,-755) -> Matrix(-1,0,22,1) *** -> (-1/11,0/1) Matrix(431,-99,936,-215) -> Matrix(11,2,-170,-31) Matrix(397,-93,1080,-253) -> Matrix(17,2,-212,-25) Matrix(37,-9,144,-35) -> Matrix(1,0,0,1) Matrix(467,-124,1224,-325) -> Matrix(19,2,-238,-25) Matrix(2377,-638,8856,-2377) -> Matrix(53,6,-468,-53) (11/41,29/108) -> (-3/26,-1/9) Matrix(755,-203,2808,-755) -> Matrix(19,2,-180,-19) (29/108,7/26) -> (-1/9,-1/10) Matrix(1187,-320,2808,-757) -> Matrix(59,6,-836,-85) Matrix(361,-98,792,-215) -> Matrix(13,2,-202,-31) Matrix(181,-50,648,-179) -> Matrix(17,2,-162,-19) -1/9 Matrix(1223,-343,4104,-1151) -> Matrix(19,2,-218,-23) Matrix(1079,-303,2304,-647) -> Matrix(79,8,-1254,-127) Matrix(215,-61,504,-143) -> Matrix(21,2,-304,-29) Matrix(613,-177,1368,-395) -> Matrix(53,6,-804,-91) Matrix(541,-157,1368,-397) -> Matrix(55,6,-724,-79) Matrix(505,-147,1728,-503) -> Matrix(75,8,-722,-77) -2/19 Matrix(2053,-607,4752,-1405) -> Matrix(153,16,-2228,-233) Matrix(2159,-639,5112,-1513) -> Matrix(99,10,-1396,-141) Matrix(721,-214,1944,-577) -> Matrix(61,6,-742,-73) Matrix(2593,-772,6768,-2015) -> Matrix(45,4,-574,-51) Matrix(2339,-698,5184,-1547) -> Matrix(61,4,-930,-61) *** -> (-1/15,-2/31) Matrix(109,-33,360,-109) -> Matrix(19,2,-180,-19) (3/10,11/36) -> (-1/9,-1/10) Matrix(287,-88,936,-287) -> Matrix(61,6,-620,-61) (11/36,4/13) -> (-1/10,-3/31) Matrix(251,-78,576,-179) -> Matrix(43,4,-634,-59) Matrix(1367,-430,3888,-1223) -> Matrix(119,12,-1418,-143) Matrix(685,-216,1944,-613) -> Matrix(21,2,-262,-25) Matrix(325,-103,792,-251) -> Matrix(61,6,-844,-83) Matrix(397,-137,936,-323) -> Matrix(113,10,-1616,-143) Matrix(973,-341,2160,-757) -> Matrix(187,16,-2840,-243) Matrix(181,-65,504,-181) -> Matrix(71,6,-840,-71) (5/14,13/36) -> (-3/35,-1/12) Matrix(287,-104,792,-287) -> Matrix(121,10,-1464,-121) (13/36,4/11) -> (-1/12,-5/61) Matrix(359,-131,792,-289) -> Matrix(123,10,-1882,-153) Matrix(757,-277,1872,-685) -> Matrix(101,8,-1376,-109) Matrix(1403,-514,3240,-1187) -> Matrix(21,2,-304,-29) Matrix(937,-344,2160,-793) -> Matrix(51,4,-752,-59) Matrix(577,-213,1368,-505) -> Matrix(73,6,-1034,-85) Matrix(2377,-902,6264,-2377) -> Matrix(181,14,-2340,-181) (11/29,41/108) -> (-7/90,-1/13) Matrix(2051,-779,5400,-2051) -> Matrix(27,2,-364,-27) (41/108,19/50) -> (-1/13,-1/14) Matrix(2305,-877,5112,-1945) -> Matrix(173,14,-2632,-213) Matrix(6049,-2310,15840,-6049) -> Matrix(305,24,-3876,-305) (21/55,55/144) -> (-3/38,-4/51) Matrix(1871,-715,4896,-1871) -> Matrix(103,8,-1326,-103) (55/144,13/34) -> (-4/51,-1/13) Matrix(1079,-413,2448,-937) -> Matrix(53,4,-782,-59) Matrix(253,-98,648,-251) -> Matrix(129,10,-1690,-131) -1/13 Matrix(467,-183,1008,-395) -> Matrix(211,16,-3310,-251) Matrix(2017,-795,4752,-1873) -> Matrix(49,4,-698,-57) Matrix(1621,-658,3816,-1549) -> Matrix(247,18,-3554,-259) Matrix(1297,-531,3168,-1297) -> Matrix(329,24,-4510,-329) (9/22,59/144) -> (-3/41,-4/55) Matrix(7199,-2950,17568,-7199) -> Matrix(1871,136,-25740,-1871) (59/144,25/61) -> (-4/55,-17/234) Matrix(181,-75,432,-179) -> Matrix(111,8,-1568,-113) -1/14 Matrix(1585,-671,3744,-1585) -> Matrix(569,40,-8094,-569) (11/26,61/144) -> (-5/71,-4/57) Matrix(7199,-3050,16992,-7199) -> Matrix(2623,184,-37392,-2623) (61/144,25/59) -> (-4/57,-23/328) Matrix(11341,-4815,26712,-11341) -> Matrix(1633,114,-23392,-1633) (45/106,107/252) -> (-19/272,-3/43) Matrix(15623,-6634,36792,-15623) -> Matrix(2495,174,-35776,-2495) (107/252,31/73) -> (-3/43,-29/416) Matrix(971,-419,2088,-901) -> Matrix(611,42,-9616,-661) Matrix(289,-128,648,-287) -> Matrix(209,14,-3150,-211) -1/15 Matrix(5329,-2405,11808,-5329) -> Matrix(3049,200,-46482,-3049) (37/82,65/144) -> (-25/381,-4/61) Matrix(4031,-1820,8928,-4031) -> Matrix(2319,152,-35380,-2319) (65/144,14/31) -> (-4/61,-19/290) Matrix(793,-363,1728,-791) -> Matrix(619,40,-9610,-621) -2/31 Matrix(577,-272,1224,-577) -> Matrix(479,30,-7648,-479) (8/17,17/36) -> (-15/239,-1/16) Matrix(35,-17,72,-35) -> Matrix(33,2,-544,-33) (17/36,1/2) -> (-1/16,-1/17) Matrix(-1,1,0,1) -> Matrix(-1,0,34,1) (1/2,1/0) -> (-1/17,0/1) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.