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: 64 Genus: 113 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -51/16 0/1 1/1 17/15 17/14 17/13 17/12 3/2 17/11 17/10 17/9 2/1 17/8 136/61 34/15 136/57 12/5 17/7 5/2 85/33 34/13 68/25 17/6 3/1 102/31 17/5 7/2 68/19 18/5 11/3 374/101 34/9 4/1 17/4 30/7 13/3 136/31 22/5 102/23 9/2 14/3 136/29 24/5 34/7 5/1 68/13 16/3 11/2 28/5 17/3 6/1 19/3 32/5 13/2 20/3 34/5 7/1 8/1 17/2 26/3 9/1 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -9/1 -1/4 -17/2 -1/4 -8/1 -1/4 -2/9 -7/1 -3/14 -20/3 -1/5 -4/21 -13/2 -1/6 -19/3 -5/26 -25/4 -3/16 -6/1 -1/6 -17/3 -1/6 -28/5 -1/6 -4/25 -11/2 -3/20 -16/3 -1/6 -2/13 -5/1 -1/6 -24/5 -1/7 -2/15 -43/9 -1/8 -19/4 -3/22 -33/7 -5/42 -47/10 -1/10 -61/13 -1/18 -14/3 -1/6 -9/2 -1/8 -40/9 -2/15 -1/8 -31/7 -1/8 -22/5 -1/10 -57/13 1/4 -35/8 -3/16 -13/3 -1/8 -43/10 -1/8 -30/7 -1/8 -17/4 -1/8 -4/1 -1/8 0/1 -15/4 -1/8 -26/7 -1/8 -63/17 -3/26 -37/10 -1/8 -11/3 -1/6 -18/5 -1/8 -25/7 -3/26 -32/9 -2/17 -1/9 -7/2 -1/10 -31/9 -1/10 -24/7 -2/17 -1/9 -17/5 -1/9 -10/3 -1/10 -53/16 -1/6 -43/13 -1/8 -33/10 -7/60 -56/17 -6/53 -1/9 -23/7 -5/46 -36/11 -1/9 0/1 -49/15 -7/64 -13/4 -3/28 -42/13 -5/48 -29/9 -1/10 -16/5 -2/19 -1/10 -51/16 -1/10 -35/11 -9/92 -19/6 -1/12 -3/1 -1/10 -20/7 -4/43 -1/11 -17/6 -1/11 -14/5 -3/34 -11/4 -5/56 -30/11 -7/80 -19/7 -9/104 -46/17 -11/128 -27/10 -5/58 -8/3 -2/23 -1/12 -13/5 -1/12 -44/17 -4/49 -3/37 -31/12 -5/62 -18/7 -1/12 -23/9 -3/38 -28/11 -1/12 -4/49 -33/13 -19/234 -5/2 -3/38 -27/11 -5/64 -22/9 -7/90 -17/7 -1/13 -12/5 -1/13 -4/53 -55/23 -5/66 -43/18 -5/66 -74/31 -13/172 -31/13 -11/146 -19/8 -3/40 -26/11 -3/40 -85/36 -3/40 -59/25 -3/40 -33/14 -23/308 -40/17 -7/94 -2/27 -7/3 -5/68 -30/13 -7/96 -23/10 -11/152 -16/7 -6/83 -1/14 -9/4 -1/14 -38/17 -1/14 -29/13 -17/242 -78/35 -23/328 -49/22 -7/100 -20/9 -4/57 -3/43 -31/14 -5/72 -11/5 -9/130 -35/16 -29/422 -59/27 -7/102 -24/11 -2/29 -5/73 -13/6 -3/44 -41/19 -29/428 -28/13 -4/59 -5/74 -43/20 -5/74 -15/7 -7/104 -32/15 -14/209 -1/15 -17/8 -1/15 -2/1 -1/16 -17/9 -1/17 -15/8 -7/120 -28/15 -5/86 -4/69 -13/7 -3/52 -24/13 -5/87 -2/35 -35/19 -29/506 -11/6 -9/158 -31/17 -5/88 -20/11 -3/53 -4/71 -49/27 -7/124 -78/43 -23/408 -107/59 -63/1118 -136/75 -4/71 -29/16 -17/302 -67/37 -39/694 -38/21 -1/18 -9/5 -1/18 -34/19 -1/18 -25/14 -1/18 -16/9 -1/18 -6/109 -23/13 -11/200 -7/4 -5/92 -47/27 -11/204 -40/23 -2/37 -7/130 -33/19 -23/428 -59/34 -3/56 -26/15 -3/56 -19/11 -3/56 -69/40 -25/466 -119/69 -3/56 -50/29 -3/56 -31/18 -11/206 -136/79 -4/75 -105/61 -37/694 -74/43 -13/244 -43/25 -5/94 -55/32 -5/94 -12/7 -4/75 -1/19 -17/10 -1/19 -22/13 -7/134 -27/16 -5/96 -32/19 -1/19 -2/39 -37/22 -5/96 -5/3 -3/58 -18/11 -1/20 -85/52 -1/20 -67/41 -7/142 -49/30 -1/20 -31/19 -5/98 -44/27 -3/59 -4/79 -13/8 -1/20 -34/21 -1/20 -21/13 -1/20 -8/5 -1/20 -2/41 -27/17 -5/102 -46/29 -11/224 -65/41 -5/102 -19/12 -9/184 -68/43 -2/41 -49/31 -23/472 -30/19 -7/144 -101/64 -47/968 -71/45 -13/268 -41/26 -13/268 -11/7 -5/104 -36/23 -1/21 0/1 -25/16 -1/20 -14/9 -3/62 -17/11 -1/21 -20/13 -1/21 -4/85 -3/2 -1/22 -19/13 -1/20 -16/11 -1/22 -2/45 -13/9 -3/68 -36/25 -1/23 0/1 -23/16 -5/114 -102/71 -1/23 -79/55 -17/392 -56/39 -1/23 -6/139 -89/62 -5/116 -33/23 -7/164 -10/7 -1/22 -17/12 -1/23 -24/17 -1/23 -2/47 -31/22 -1/22 -100/71 -4/91 -1/23 -69/49 -11/254 -38/27 -3/70 -7/5 -1/22 -39/28 -1/24 -32/23 -1/23 -2/47 -25/18 -3/70 -68/49 -2/47 -43/31 -5/118 -18/13 -1/24 -29/21 -1/26 -98/71 -1/22 -69/50 -7/162 -40/29 -2/47 -1/24 -11/8 -1/26 -37/27 -1/24 -137/100 -11/252 -374/273 -1/23 -237/173 -19/438 -100/73 -1/23 -4/93 -63/46 -3/70 -26/19 -1/24 -15/11 -1/24 -34/25 -1/24 -19/14 -1/24 -4/3 -1/24 0/1 -17/13 -1/24 -30/23 -1/24 -43/33 -1/24 -13/10 -1/24 -48/37 -1/25 -2/51 -83/64 -1/26 -35/27 -3/80 -57/44 -1/36 -136/105 0/1 -79/61 -1/8 -22/17 -1/22 -53/41 -5/118 -31/24 -1/24 -102/79 -1/24 -71/55 -1/24 -40/31 -1/24 -2/49 -49/38 -1/26 -9/7 -1/24 -32/25 -2/49 -1/25 -23/18 -3/76 -14/11 -1/26 -75/59 -1/38 -136/107 0/1 -61/48 -1/14 -47/37 -1/22 -80/63 -2/45 -1/23 -33/26 -5/118 -85/67 -1/24 -52/41 -1/24 -4/97 -19/15 -3/74 -43/34 -1/24 -67/53 -11/268 -24/19 -2/49 -1/25 -29/23 -5/124 -34/27 -1/25 -5/4 -1/26 -26/21 -3/76 -47/38 -11/280 -68/55 -2/51 -21/17 -5/128 -16/13 -2/51 -1/26 -11/9 -3/76 -28/23 -4/103 -1/26 -17/14 -1/26 -6/5 -1/26 -25/21 -3/80 -19/16 -5/134 -51/43 -1/27 -32/27 -1/27 -2/55 -13/11 -1/26 -33/28 -13/346 -53/45 -3/80 -20/17 -4/107 -1/27 -27/23 -11/296 -34/29 -1/27 -7/6 -3/82 -8/7 -2/55 -1/28 -17/15 -1/28 -26/23 -1/28 -9/8 -1/28 -19/17 -5/142 -10/9 -3/86 -1/1 -1/32 0/1 0/1 1/1 1/32 9/8 1/28 17/15 1/28 8/7 1/28 2/55 7/6 3/82 20/17 1/27 4/107 13/11 1/26 19/16 5/134 25/21 3/80 6/5 1/26 17/14 1/26 28/23 1/26 4/103 11/9 3/76 16/13 1/26 2/51 5/4 1/26 24/19 1/25 2/49 43/34 1/24 19/15 3/74 33/26 5/118 47/37 1/22 61/48 1/14 14/11 1/26 9/7 1/24 40/31 2/49 1/24 31/24 1/24 22/17 1/22 57/44 1/36 35/27 3/80 13/10 1/24 43/33 1/24 30/23 1/24 17/13 1/24 4/3 0/1 1/24 15/11 1/24 26/19 1/24 63/46 3/70 37/27 1/24 11/8 1/26 18/13 1/24 25/18 3/70 32/23 2/47 1/23 7/5 1/22 31/22 1/22 24/17 2/47 1/23 17/12 1/23 10/7 1/22 53/37 1/26 43/30 1/24 33/23 7/164 56/39 6/139 1/23 23/16 5/114 36/25 0/1 1/23 49/34 7/160 13/9 3/68 42/29 5/112 29/20 1/22 16/11 2/45 1/22 51/35 1/22 35/24 9/196 19/13 1/20 3/2 1/22 20/13 4/85 1/21 17/11 1/21 14/9 3/62 11/7 5/104 30/19 7/144 19/12 9/184 46/29 11/224 27/17 5/102 8/5 2/41 1/20 13/8 1/20 44/27 4/79 3/59 31/19 5/98 18/11 1/20 23/14 3/58 28/17 1/20 4/79 33/20 19/374 5/3 3/58 27/16 5/96 22/13 7/134 17/10 1/19 12/7 1/19 4/75 55/32 5/94 43/25 5/94 74/43 13/244 31/18 11/206 19/11 3/56 26/15 3/56 85/49 3/56 59/34 3/56 33/19 23/428 40/23 7/130 2/37 7/4 5/92 30/17 7/128 23/13 11/200 16/9 6/109 1/18 9/5 1/18 38/21 1/18 29/16 17/302 78/43 23/408 49/27 7/124 20/11 4/71 3/53 31/17 5/88 11/6 9/158 35/19 29/506 59/32 7/122 24/13 2/35 5/87 13/7 3/52 41/22 29/500 28/15 4/69 5/86 43/23 5/86 15/8 7/120 32/17 14/239 1/17 17/9 1/17 2/1 1/16 17/8 1/15 15/7 7/104 28/13 5/74 4/59 13/6 3/44 24/11 5/73 2/29 35/16 29/422 11/5 9/130 31/14 5/72 20/9 3/43 4/57 49/22 7/100 78/35 23/328 107/48 63/898 136/61 4/57 29/13 17/242 67/30 39/554 38/17 1/14 9/4 1/14 34/15 1/14 25/11 1/14 16/7 1/14 6/83 23/10 11/152 7/3 5/68 47/20 11/148 40/17 2/27 7/94 33/14 23/308 59/25 3/40 26/11 3/40 19/8 3/40 69/29 25/334 119/50 3/40 50/21 3/40 31/13 11/146 136/57 4/53 105/44 37/490 74/31 13/172 43/18 5/66 55/23 5/66 12/5 4/53 1/13 17/7 1/13 22/9 7/90 27/11 5/64 32/13 1/13 2/25 37/15 5/64 5/2 3/38 18/7 1/12 85/33 1/12 67/26 7/82 49/19 1/12 31/12 5/62 44/17 3/37 4/49 13/5 1/12 34/13 1/12 21/8 1/12 8/3 1/12 2/23 27/10 5/58 46/17 11/128 65/24 5/58 19/7 9/104 68/25 2/23 49/18 23/264 30/11 7/80 101/37 47/536 71/26 13/148 41/15 13/148 11/4 5/56 36/13 0/1 1/11 25/9 1/12 14/5 3/34 17/6 1/11 20/7 1/11 4/43 3/1 1/10 19/6 1/12 16/5 1/10 2/19 13/4 3/28 36/11 0/1 1/9 23/7 5/46 102/31 1/9 79/24 17/152 56/17 1/9 6/53 89/27 5/44 33/10 7/60 10/3 1/10 17/5 1/9 24/7 1/9 2/17 31/9 1/10 100/29 4/37 1/9 69/20 11/98 38/11 3/26 7/2 1/10 39/11 1/8 32/9 1/9 2/17 25/7 3/26 68/19 2/17 43/12 5/42 18/5 1/8 29/8 1/6 98/27 1/10 69/19 7/62 40/11 2/17 1/8 11/3 1/6 37/10 1/8 137/37 11/100 374/101 1/9 237/64 19/170 100/27 1/9 4/35 63/17 3/26 26/7 1/8 15/4 1/8 34/9 1/8 19/5 1/8 4/1 0/1 1/8 17/4 1/8 30/7 1/8 43/10 1/8 13/3 1/8 48/11 1/7 2/13 83/19 1/6 35/8 3/16 57/13 -1/4 136/31 0/1 79/18 1/24 22/5 1/10 53/12 5/42 31/7 1/8 102/23 1/8 71/16 1/8 40/9 1/8 2/15 49/11 1/6 9/2 1/8 32/7 2/15 1/7 23/5 3/20 14/3 1/6 75/16 -1/6 136/29 0/1 61/13 1/18 47/10 1/10 80/17 2/19 1/9 33/7 5/42 85/18 1/8 52/11 1/8 4/31 19/4 3/22 43/9 1/8 67/14 11/84 24/5 2/15 1/7 29/6 5/36 34/7 1/7 5/1 1/6 26/5 3/20 47/9 11/72 68/13 2/13 21/4 5/32 16/3 2/13 1/6 11/2 3/20 28/5 4/25 1/6 17/3 1/6 6/1 1/6 25/4 3/16 19/3 5/26 51/8 1/5 32/5 1/5 2/9 13/2 1/6 33/5 13/70 53/8 3/16 20/3 4/21 1/5 27/4 11/56 34/5 1/5 7/1 3/14 8/1 2/9 1/4 17/2 1/4 26/3 1/4 9/1 1/4 19/2 5/18 10/1 3/10 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(33,340,-10,-103) (-9/1,1/0) -> (-43/13,-33/10) Hyperbolic Matrix(203,1768,-86,-749) (-9/1,-17/2) -> (-85/36,-59/25) Hyperbolic Matrix(33,272,4,33) (-17/2,-8/1) -> (8/1,17/2) Hyperbolic Matrix(35,272,22,171) (-8/1,-7/1) -> (27/17,8/5) Hyperbolic Matrix(101,680,-86,-579) (-7/1,-20/3) -> (-20/17,-27/23) Hyperbolic Matrix(135,884,-104,-681) (-20/3,-13/2) -> (-13/10,-48/37) Hyperbolic Matrix(137,884,-42,-271) (-13/2,-19/3) -> (-49/15,-13/4) Hyperbolic Matrix(205,1292,162,1021) (-19/3,-25/4) -> (43/34,19/15) Hyperbolic Matrix(339,2108,142,883) (-25/4,-6/1) -> (74/31,43/18) Hyperbolic Matrix(35,204,6,35) (-6/1,-17/3) -> (17/3,6/1) Hyperbolic Matrix(169,952,30,169) (-17/3,-28/5) -> (28/5,17/3) Hyperbolic Matrix(171,952,104,579) (-28/5,-11/2) -> (23/14,28/17) Hyperbolic Matrix(101,544,44,237) (-11/2,-16/3) -> (16/7,23/10) Hyperbolic Matrix(103,544,-32,-169) (-16/3,-5/1) -> (-29/9,-16/5) Hyperbolic Matrix(169,816,-134,-647) (-5/1,-24/5) -> (-24/19,-29/23) Hyperbolic Matrix(511,2448,-234,-1121) (-24/5,-43/9) -> (-59/27,-24/11) Hyperbolic Matrix(271,1292,228,1087) (-43/9,-19/4) -> (19/16,25/21) Hyperbolic Matrix(273,1292,-86,-407) (-19/4,-33/7) -> (-35/11,-19/6) Hyperbolic Matrix(953,4488,-664,-3127) (-33/7,-47/10) -> (-89/62,-33/23) Hyperbolic Matrix(681,3196,290,1361) (-47/10,-61/13) -> (7/3,47/20) Hyperbolic Matrix(407,1904,-320,-1497) (-61/13,-14/3) -> (-14/11,-75/59) Hyperbolic Matrix(103,476,-66,-305) (-14/3,-9/2) -> (-25/16,-14/9) Hyperbolic Matrix(443,1972,-206,-917) (-9/2,-40/9) -> (-28/13,-43/20) Hyperbolic Matrix(919,4080,-712,-3161) (-40/9,-31/7) -> (-71/55,-40/31) Hyperbolic Matrix(647,2856,-408,-1801) (-31/7,-22/5) -> (-46/29,-65/41) Hyperbolic Matrix(681,2992,-526,-2311) (-22/5,-57/13) -> (-79/61,-22/17) Hyperbolic Matrix(543,2380,248,1087) (-57/13,-35/8) -> (35/16,11/5) Hyperbolic Matrix(203,884,-172,-749) (-35/8,-13/3) -> (-13/11,-33/28) Hyperbolic Matrix(679,2924,284,1223) (-13/3,-43/10) -> (43/18,55/23) Hyperbolic Matrix(443,1904,198,851) (-43/10,-30/7) -> (38/17,9/4) Hyperbolic Matrix(239,1020,56,239) (-30/7,-17/4) -> (17/4,30/7) Hyperbolic Matrix(33,136,8,33) (-17/4,-4/1) -> (4/1,17/4) Hyperbolic Matrix(35,136,-26,-101) (-4/1,-15/4) -> (-19/14,-4/3) Hyperbolic Matrix(237,884,100,373) (-15/4,-26/7) -> (26/11,19/8) Hyperbolic Matrix(477,1768,92,341) (-26/7,-63/17) -> (5/1,26/5) Hyperbolic Matrix(679,2516,-404,-1497) (-63/17,-37/10) -> (-37/22,-5/3) Hyperbolic Matrix(203,748,92,339) (-37/10,-11/3) -> (11/5,31/14) Hyperbolic Matrix(169,612,-66,-239) (-11/3,-18/5) -> (-18/7,-23/9) Hyperbolic Matrix(341,1224,-246,-883) (-18/5,-25/7) -> (-43/31,-18/13) Hyperbolic Matrix(477,1700,172,613) (-25/7,-32/9) -> (36/13,25/9) Hyperbolic Matrix(307,1088,-182,-645) (-32/9,-7/2) -> (-27/16,-32/19) Hyperbolic Matrix(511,1768,-324,-1121) (-7/2,-31/9) -> (-71/45,-41/26) Hyperbolic Matrix(613,2108,376,1293) (-31/9,-24/7) -> (44/27,31/19) Hyperbolic Matrix(239,816,70,239) (-24/7,-17/5) -> (17/5,24/7) Hyperbolic Matrix(101,340,30,101) (-17/5,-10/3) -> (10/3,17/5) Hyperbolic Matrix(1395,4624,626,2075) (-10/3,-53/16) -> (49/22,78/35) Hyperbolic Matrix(883,2924,472,1563) (-53/16,-43/13) -> (43/23,15/8) Hyperbolic Matrix(1361,4488,-1072,-3535) (-33/10,-56/17) -> (-80/63,-33/26) Hyperbolic Matrix(1735,5712,-1208,-3977) (-56/17,-23/7) -> (-79/55,-56/39) Hyperbolic Matrix(477,1564,104,341) (-23/7,-36/11) -> (32/7,23/5) Hyperbolic Matrix(645,2108,-302,-987) (-36/11,-49/15) -> (-15/7,-32/15) Hyperbolic Matrix(715,2312,-578,-1869) (-13/4,-42/13) -> (-26/21,-47/38) Hyperbolic Matrix(1053,3400,284,917) (-42/13,-29/9) -> (63/17,26/7) Hyperbolic Matrix(1257,4012,266,849) (-16/5,-51/16) -> (85/18,52/11) Hyperbolic Matrix(2413,7684,1014,3229) (-51/16,-35/11) -> (69/29,119/50) Hyperbolic Matrix(409,1292,-258,-815) (-19/6,-3/1) -> (-65/41,-19/12) Hyperbolic Matrix(237,680,130,373) (-3/1,-20/7) -> (20/11,31/17) Hyperbolic Matrix(239,680,84,239) (-20/7,-17/6) -> (17/6,20/7) Hyperbolic Matrix(169,476,60,169) (-17/6,-14/5) -> (14/5,17/6) Hyperbolic Matrix(171,476,-134,-373) (-14/5,-11/4) -> (-23/18,-14/11) Hyperbolic Matrix(373,1020,-162,-443) (-11/4,-30/11) -> (-30/13,-23/10) Hyperbolic Matrix(749,2040,-474,-1291) (-30/11,-19/7) -> (-49/31,-30/19) Hyperbolic Matrix(1055,2856,-816,-2209) (-19/7,-46/17) -> (-22/17,-53/41) Hyperbolic Matrix(679,1836,402,1087) (-46/17,-27/10) -> (27/16,22/13) Hyperbolic Matrix(101,272,88,237) (-27/10,-8/3) -> (8/7,7/6) Hyperbolic Matrix(103,272,-64,-169) (-8/3,-13/5) -> (-21/13,-8/5) Hyperbolic Matrix(341,884,184,477) (-13/5,-44/17) -> (24/13,13/7) Hyperbolic Matrix(815,2108,578,1495) (-44/17,-31/12) -> (31/22,24/17) Hyperbolic Matrix(817,2108,-474,-1223) (-31/12,-18/7) -> (-50/29,-31/18) Hyperbolic Matrix(373,952,306,781) (-23/9,-28/11) -> (28/23,11/9) Hyperbolic Matrix(883,2244,508,1291) (-28/11,-33/13) -> (33/19,40/23) Hyperbolic Matrix(511,1292,-282,-713) (-33/13,-5/2) -> (-29/16,-67/37) Hyperbolic Matrix(443,1088,-318,-781) (-5/2,-27/11) -> (-7/5,-39/28) Hyperbolic Matrix(749,1836,472,1157) (-27/11,-22/9) -> (46/29,27/17) Hyperbolic Matrix(307,748,126,307) (-22/9,-17/7) -> (17/7,22/9) Hyperbolic Matrix(169,408,70,169) (-17/7,-12/5) -> (12/5,17/7) Hyperbolic Matrix(2075,4964,-1634,-3909) (-12/5,-55/23) -> (-47/37,-80/63) Hyperbolic Matrix(1223,2924,284,679) (-55/23,-43/18) -> (43/10,13/3) Hyperbolic Matrix(883,2108,142,339) (-43/18,-74/31) -> (6/1,25/4) Hyperbolic Matrix(4217,10064,-2450,-5847) (-74/31,-31/13) -> (-105/61,-74/43) Hyperbolic Matrix(885,2108,-542,-1291) (-31/13,-19/8) -> (-49/30,-31/19) Hyperbolic Matrix(373,884,100,237) (-19/8,-26/11) -> (26/7,15/4) Hyperbolic Matrix(1123,2652,130,307) (-26/11,-85/36) -> (17/2,26/3) Hyperbolic Matrix(1701,4012,-778,-1835) (-59/25,-33/14) -> (-35/16,-59/27) Hyperbolic Matrix(953,2244,578,1361) (-33/14,-40/17) -> (28/17,33/20) Hyperbolic Matrix(781,1836,-362,-851) (-40/17,-7/3) -> (-41/19,-28/13) Hyperbolic Matrix(205,476,-146,-339) (-7/3,-30/13) -> (-38/27,-7/5) Hyperbolic Matrix(237,544,44,101) (-23/10,-16/7) -> (16/3,11/2) Hyperbolic Matrix(239,544,-134,-305) (-16/7,-9/4) -> (-25/14,-16/9) Hyperbolic Matrix(851,1904,198,443) (-9/4,-38/17) -> (30/7,43/10) Hyperbolic Matrix(1767,3944,-1280,-2857) (-38/17,-29/13) -> (-29/21,-98/71) Hyperbolic Matrix(4759,10608,-2624,-5849) (-29/13,-78/35) -> (-78/43,-107/59) Hyperbolic Matrix(885,1972,92,205) (-78/35,-49/22) -> (19/2,10/1) Hyperbolic Matrix(1803,4012,-1390,-3093) (-49/22,-20/9) -> (-48/37,-83/64) Hyperbolic Matrix(307,680,200,443) (-20/9,-31/14) -> (3/2,20/13) Hyperbolic Matrix(339,748,92,203) (-31/14,-11/5) -> (11/3,37/10) Hyperbolic Matrix(1087,2380,248,543) (-11/5,-35/16) -> (35/8,57/13) Hyperbolic Matrix(407,884,250,543) (-24/11,-13/6) -> (13/8,44/27) Hyperbolic Matrix(1259,2720,268,579) (-13/6,-41/19) -> (61/13,47/10) Hyperbolic Matrix(1361,2924,950,2041) (-43/20,-15/7) -> (53/37,43/30) Hyperbolic Matrix(1021,2176,160,341) (-32/15,-17/8) -> (51/8,32/5) Hyperbolic Matrix(33,68,16,33) (-17/8,-2/1) -> (2/1,17/8) Hyperbolic Matrix(35,68,18,35) (-2/1,-17/9) -> (17/9,2/1) Hyperbolic Matrix(579,1088,-488,-917) (-17/9,-15/8) -> (-19/16,-51/43) Hyperbolic Matrix(1055,1972,-818,-1529) (-15/8,-28/15) -> (-40/31,-49/38) Hyperbolic Matrix(985,1836,-566,-1055) (-28/15,-13/7) -> (-47/27,-40/23) Hyperbolic Matrix(477,884,184,341) (-13/7,-24/13) -> (44/17,13/5) Hyperbolic Matrix(1327,2448,-1050,-1937) (-24/13,-35/19) -> (-67/53,-24/19) Hyperbolic Matrix(1293,2380,998,1837) (-35/19,-11/6) -> (57/44,35/27) Hyperbolic Matrix(409,748,298,545) (-11/6,-31/17) -> (37/27,11/8) Hyperbolic Matrix(373,680,130,237) (-31/17,-20/11) -> (20/7,3/1) Hyperbolic Matrix(1123,2040,-954,-1733) (-20/11,-49/27) -> (-53/45,-20/17) Hyperbolic Matrix(2549,4624,1780,3229) (-49/27,-78/43) -> (10/7,53/37) Hyperbolic Matrix(10199,18496,4574,8295) (-107/59,-136/75) -> (136/61,29/13) Hyperbolic Matrix(10201,18496,4576,8297) (-136/75,-29/16) -> (107/48,136/61) Hyperbolic Matrix(3231,5848,1184,2143) (-67/37,-38/21) -> (30/11,101/37) Hyperbolic Matrix(1053,1904,808,1461) (-38/21,-9/5) -> (43/33,30/23) Hyperbolic Matrix(645,1156,284,509) (-9/5,-34/19) -> (34/15,25/11) Hyperbolic Matrix(647,1156,286,511) (-34/19,-25/14) -> (9/4,34/15) Hyperbolic Matrix(307,544,250,443) (-16/9,-23/13) -> (11/9,16/13) Hyperbolic Matrix(577,1020,-366,-647) (-23/13,-7/4) -> (-41/26,-11/7) Hyperbolic Matrix(1835,3196,1444,2515) (-7/4,-47/27) -> (47/37,61/48) Hyperbolic Matrix(2347,4080,646,1123) (-40/23,-33/19) -> (69/19,40/11) Hyperbolic Matrix(3095,5372,-2448,-4249) (-33/19,-59/34) -> (-43/34,-67/53) Hyperbolic Matrix(1019,1768,-902,-1565) (-59/34,-26/15) -> (-26/23,-9/8) Hyperbolic Matrix(511,884,374,647) (-26/15,-19/11) -> (15/11,26/19) Hyperbolic Matrix(2483,4284,-2108,-3637) (-19/11,-69/40) -> (-33/28,-53/45) Hyperbolic Matrix(4455,7684,3056,5271) (-69/40,-119/69) -> (51/35,35/24) Hyperbolic Matrix(3707,6392,1440,2483) (-119/69,-50/29) -> (18/7,85/33) Hyperbolic Matrix(10743,18496,4502,7751) (-31/18,-136/79) -> (136/57,105/44) Hyperbolic Matrix(10745,18496,4504,7753) (-136/79,-105/61) -> (31/13,136/57) Hyperbolic Matrix(1225,2108,1028,1769) (-74/43,-43/25) -> (25/21,6/5) Hyperbolic Matrix(1701,2924,1306,2245) (-43/25,-55/32) -> (13/10,43/33) Hyperbolic Matrix(2415,4148,-1682,-2889) (-55/32,-12/7) -> (-56/39,-89/62) Hyperbolic Matrix(239,408,140,239) (-12/7,-17/10) -> (17/10,12/7) Hyperbolic Matrix(441,748,260,441) (-17/10,-22/13) -> (22/13,17/10) Hyperbolic Matrix(1087,1836,402,679) (-22/13,-27/16) -> (27/10,46/17) Hyperbolic Matrix(2789,4692,-1980,-3331) (-32/19,-37/22) -> (-31/22,-100/71) Hyperbolic Matrix(373,612,-270,-443) (-5/3,-18/11) -> (-18/13,-29/21) Hyperbolic Matrix(3909,6392,1642,2685) (-18/11,-85/52) -> (119/50,50/21) Hyperbolic Matrix(5201,8500,1102,1801) (-85/52,-67/41) -> (33/7,85/18) Hyperbolic Matrix(4453,7276,-3434,-5611) (-67/41,-49/30) -> (-83/64,-35/27) Hyperbolic Matrix(1293,2108,376,613) (-31/19,-44/27) -> (24/7,31/9) Hyperbolic Matrix(543,884,250,407) (-44/27,-13/8) -> (13/6,24/11) Hyperbolic Matrix(713,1156,272,441) (-13/8,-34/21) -> (34/13,21/8) Hyperbolic Matrix(715,1156,274,443) (-34/21,-21/13) -> (13/5,34/13) Hyperbolic Matrix(171,272,22,35) (-8/5,-27/17) -> (7/1,8/1) Hyperbolic Matrix(1157,1836,472,749) (-27/17,-46/29) -> (22/9,27/11) Hyperbolic Matrix(2923,4624,1074,1699) (-19/12,-68/43) -> (68/25,49/18) Hyperbolic Matrix(2925,4624,1076,1701) (-68/43,-49/31) -> (19/7,68/25) Hyperbolic Matrix(3705,5848,1658,2617) (-30/19,-101/64) -> (67/30,38/17) Hyperbolic Matrix(8533,13464,-6228,-9827) (-101/64,-71/45) -> (-37/27,-137/100) Hyperbolic Matrix(781,1224,238,373) (-11/7,-36/23) -> (36/11,23/7) Hyperbolic Matrix(1087,1700,782,1223) (-36/23,-25/16) -> (25/18,32/23) Hyperbolic Matrix(307,476,198,307) (-14/9,-17/11) -> (17/11,14/9) Hyperbolic Matrix(441,680,286,441) (-17/11,-20/13) -> (20/13,17/11) Hyperbolic Matrix(443,680,200,307) (-20/13,-3/2) -> (31/14,20/9) Hyperbolic Matrix(509,748,-394,-579) (-3/2,-19/13) -> (-53/41,-31/24) Hyperbolic Matrix(885,1292,-698,-1019) (-19/13,-16/11) -> (-52/41,-19/15) Hyperbolic Matrix(375,544,-304,-441) (-16/11,-13/9) -> (-21/17,-16/13) Hyperbolic Matrix(613,884,-518,-747) (-13/9,-36/25) -> (-32/27,-13/11) Hyperbolic Matrix(851,1224,308,443) (-36/25,-23/16) -> (11/4,36/13) Hyperbolic Matrix(7241,10404,2200,3161) (-23/16,-102/71) -> (102/31,79/24) Hyperbolic Matrix(7243,10404,2202,3163) (-102/71,-79/55) -> (23/7,102/31) Hyperbolic Matrix(237,340,-214,-307) (-33/23,-10/7) -> (-10/9,-1/1) Hyperbolic Matrix(239,340,168,239) (-10/7,-17/12) -> (17/12,10/7) Hyperbolic Matrix(577,816,408,577) (-17/12,-24/17) -> (24/17,17/12) Hyperbolic Matrix(1495,2108,578,815) (-24/17,-31/22) -> (31/12,44/17) Hyperbolic Matrix(21727,30600,-15860,-22337) (-100/71,-69/49) -> (-237/173,-100/73) Hyperbolic Matrix(6665,9384,1836,2585) (-69/49,-38/27) -> (98/27,69/19) Hyperbolic Matrix(4249,5916,-3102,-4319) (-39/28,-32/23) -> (-100/73,-63/46) Hyperbolic Matrix(783,1088,172,239) (-32/23,-25/18) -> (9/2,32/7) Hyperbolic Matrix(3331,4624,930,1291) (-25/18,-68/49) -> (68/19,43/12) Hyperbolic Matrix(3333,4624,932,1293) (-68/49,-43/31) -> (25/7,68/19) Hyperbolic Matrix(6799,9384,1970,2719) (-98/71,-69/50) -> (69/20,38/11) Hyperbolic Matrix(2957,4080,1256,1733) (-69/50,-40/29) -> (40/17,33/14) Hyperbolic Matrix(543,748,98,135) (-40/29,-11/8) -> (11/2,28/5) Hyperbolic Matrix(545,748,298,409) (-11/8,-37/27) -> (31/17,11/6) Hyperbolic Matrix(102101,139876,27572,37773) (-137/100,-374/273) -> (374/101,237/64) Hyperbolic Matrix(102103,139876,27574,37775) (-374/273,-237/173) -> (137/37,374/101) Hyperbolic Matrix(2483,3400,1714,2347) (-63/46,-26/19) -> (42/29,29/20) Hyperbolic Matrix(647,884,374,511) (-26/19,-15/11) -> (19/11,26/15) Hyperbolic Matrix(849,1156,224,305) (-15/11,-34/25) -> (34/9,19/5) Hyperbolic Matrix(851,1156,226,307) (-34/25,-19/14) -> (15/4,34/9) Hyperbolic Matrix(103,136,78,103) (-4/3,-17/13) -> (17/13,4/3) Hyperbolic Matrix(781,1020,598,781) (-17/13,-30/23) -> (30/23,17/13) Hyperbolic Matrix(1461,1904,808,1053) (-30/23,-43/33) -> (9/5,38/21) Hyperbolic Matrix(2245,2924,1306,1701) (-43/33,-13/10) -> (55/32,43/25) Hyperbolic Matrix(1837,2380,998,1293) (-35/27,-57/44) -> (11/6,35/19) Hyperbolic Matrix(14279,18496,3254,4215) (-57/44,-136/105) -> (136/31,79/18) Hyperbolic Matrix(14281,18496,3256,4217) (-136/105,-79/61) -> (57/13,136/31) Hyperbolic Matrix(8057,10404,1816,2345) (-31/24,-102/79) -> (102/23,71/16) Hyperbolic Matrix(8059,10404,1818,2347) (-102/79,-71/55) -> (31/7,102/23) Hyperbolic Matrix(475,612,52,67) (-49/38,-9/7) -> (9/1,19/2) Hyperbolic Matrix(849,1088,238,305) (-9/7,-32/25) -> (32/9,25/7) Hyperbolic Matrix(1223,1564,850,1087) (-32/25,-23/18) -> (23/16,36/25) Hyperbolic Matrix(14551,18496,3102,3943) (-75/59,-136/107) -> (136/29,61/13) Hyperbolic Matrix(14553,18496,3104,3945) (-136/107,-61/48) -> (75/16,136/29) Hyperbolic Matrix(2141,2720,1150,1461) (-61/48,-47/37) -> (13/7,41/22) Hyperbolic Matrix(6699,8500,2600,3299) (-33/26,-85/67) -> (85/33,67/26) Hyperbolic Matrix(3163,4012,2172,2755) (-85/67,-52/41) -> (16/11,51/35) Hyperbolic Matrix(1021,1292,162,205) (-19/15,-43/34) -> (25/4,19/3) Hyperbolic Matrix(917,1156,188,237) (-29/23,-34/27) -> (34/7,5/1) Hyperbolic Matrix(919,1156,190,239) (-34/27,-5/4) -> (29/6,34/7) Hyperbolic Matrix(1427,1768,1042,1291) (-5/4,-26/21) -> (26/19,63/46) Hyperbolic Matrix(3739,4624,714,883) (-47/38,-68/55) -> (68/13,21/4) Hyperbolic Matrix(3741,4624,716,885) (-68/55,-21/17) -> (47/9,68/13) Hyperbolic Matrix(443,544,250,307) (-16/13,-11/9) -> (23/13,16/9) Hyperbolic Matrix(613,748,168,205) (-11/9,-28/23) -> (40/11,11/3) Hyperbolic Matrix(783,952,644,783) (-28/23,-17/14) -> (17/14,28/23) Hyperbolic Matrix(169,204,140,169) (-17/14,-6/5) -> (6/5,17/14) Hyperbolic Matrix(1769,2108,1028,1225) (-6/5,-25/21) -> (43/25,74/43) Hyperbolic Matrix(1087,1292,228,271) (-25/21,-19/16) -> (19/4,43/9) Hyperbolic Matrix(1835,2176,974,1155) (-51/43,-32/27) -> (32/17,17/9) Hyperbolic Matrix(985,1156,144,169) (-27/23,-34/29) -> (34/5,7/1) Hyperbolic Matrix(987,1156,146,171) (-34/29,-7/6) -> (27/4,34/5) Hyperbolic Matrix(237,272,88,101) (-7/6,-8/7) -> (8/3,27/10) Hyperbolic Matrix(239,272,210,239) (-8/7,-17/15) -> (17/15,8/7) Hyperbolic Matrix(2345,2652,1352,1529) (-17/15,-26/23) -> (26/15,85/49) Hyperbolic Matrix(545,612,122,137) (-9/8,-19/17) -> (49/11,9/2) Hyperbolic Matrix(1767,1972,974,1087) (-19/17,-10/9) -> (78/43,49/27) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(307,-340,214,-237) (1/1,9/8) -> (43/30,33/23) Hyperbolic Matrix(1565,-1768,902,-1019) (9/8,17/15) -> (85/49,59/34) Hyperbolic Matrix(579,-680,86,-101) (7/6,20/17) -> (20/3,27/4) Hyperbolic Matrix(749,-884,172,-203) (20/17,13/11) -> (13/3,48/11) Hyperbolic Matrix(747,-884,518,-613) (13/11,19/16) -> (49/34,13/9) Hyperbolic Matrix(441,-544,304,-375) (16/13,5/4) -> (29/20,16/11) Hyperbolic Matrix(647,-816,134,-169) (5/4,24/19) -> (24/5,29/6) Hyperbolic Matrix(1937,-2448,1050,-1327) (24/19,43/34) -> (59/32,24/13) Hyperbolic Matrix(1019,-1292,698,-885) (19/15,33/26) -> (35/24,19/13) Hyperbolic Matrix(3535,-4488,1072,-1361) (33/26,47/37) -> (89/27,33/10) Hyperbolic Matrix(1497,-1904,320,-407) (61/48,14/11) -> (14/3,75/16) Hyperbolic Matrix(373,-476,134,-171) (14/11,9/7) -> (25/9,14/5) Hyperbolic Matrix(1529,-1972,818,-1055) (9/7,40/31) -> (28/15,43/23) Hyperbolic Matrix(3161,-4080,712,-919) (40/31,31/24) -> (71/16,40/9) Hyperbolic Matrix(2209,-2856,816,-1055) (31/24,22/17) -> (46/17,65/24) Hyperbolic Matrix(2311,-2992,526,-681) (22/17,57/44) -> (79/18,22/5) Hyperbolic Matrix(681,-884,104,-135) (35/27,13/10) -> (13/2,33/5) Hyperbolic Matrix(101,-136,26,-35) (4/3,15/11) -> (19/5,4/1) Hyperbolic Matrix(1837,-2516,744,-1019) (63/46,37/27) -> (37/15,5/2) Hyperbolic Matrix(443,-612,270,-373) (11/8,18/13) -> (18/11,23/14) Hyperbolic Matrix(883,-1224,246,-341) (18/13,25/18) -> (43/12,18/5) Hyperbolic Matrix(781,-1088,318,-443) (32/23,7/5) -> (27/11,32/13) Hyperbolic Matrix(1257,-1768,460,-647) (7/5,31/22) -> (71/26,41/15) Hyperbolic Matrix(3127,-4488,664,-953) (33/23,56/39) -> (80/17,33/7) Hyperbolic Matrix(3977,-5712,1208,-1735) (56/39,23/16) -> (79/24,56/17) Hyperbolic Matrix(1463,-2108,778,-1121) (36/25,49/34) -> (15/8,32/17) Hyperbolic Matrix(1597,-2312,306,-443) (13/9,42/29) -> (26/5,47/9) Hyperbolic Matrix(883,-1292,326,-477) (19/13,3/2) -> (65/24,19/7) Hyperbolic Matrix(305,-476,66,-103) (14/9,11/7) -> (23/5,14/3) Hyperbolic Matrix(647,-1020,366,-577) (11/7,30/19) -> (30/17,23/13) Hyperbolic Matrix(1291,-2040,474,-749) (30/19,19/12) -> (49/18,30/11) Hyperbolic Matrix(1801,-2856,408,-647) (19/12,46/29) -> (22/5,53/12) Hyperbolic Matrix(169,-272,64,-103) (8/5,13/8) -> (21/8,8/3) Hyperbolic Matrix(1291,-2108,542,-885) (31/19,18/11) -> (50/21,31/13) Hyperbolic Matrix(781,-1292,350,-579) (33/20,5/3) -> (29/13,67/30) Hyperbolic Matrix(645,-1088,182,-307) (5/3,27/16) -> (7/2,39/11) Hyperbolic Matrix(2889,-4964,614,-1055) (12/7,55/32) -> (47/10,80/17) Hyperbolic Matrix(5847,-10064,2450,-4217) (74/43,31/18) -> (105/44,74/31) Hyperbolic Matrix(1223,-2108,474,-817) (31/18,19/11) -> (49/19,31/12) Hyperbolic Matrix(2311,-4012,1254,-2177) (59/34,33/19) -> (35/19,59/32) Hyperbolic Matrix(1055,-1836,566,-985) (40/23,7/4) -> (41/22,28/15) Hyperbolic Matrix(271,-476,78,-137) (7/4,30/17) -> (38/11,7/2) Hyperbolic Matrix(305,-544,134,-239) (16/9,9/5) -> (25/11,16/7) Hyperbolic Matrix(2177,-3944,600,-1087) (38/21,29/16) -> (29/8,98/27) Hyperbolic Matrix(5849,-10608,2624,-4759) (29/16,78/43) -> (78/35,107/48) Hyperbolic Matrix(2209,-4012,506,-919) (49/27,20/11) -> (48/11,83/19) Hyperbolic Matrix(509,-1088,80,-171) (17/8,15/7) -> (19/3,51/8) Hyperbolic Matrix(917,-1972,206,-443) (15/7,28/13) -> (40/9,49/11) Hyperbolic Matrix(851,-1836,362,-781) (28/13,13/6) -> (47/20,40/17) Hyperbolic Matrix(1121,-2448,234,-511) (24/11,35/16) -> (67/14,24/5) Hyperbolic Matrix(917,-2040,138,-307) (20/9,49/22) -> (53/8,20/3) Hyperbolic Matrix(443,-1020,162,-373) (23/10,7/3) -> (41/15,11/4) Hyperbolic Matrix(2277,-5372,476,-1123) (33/14,59/25) -> (43/9,67/14) Hyperbolic Matrix(749,-1768,86,-203) (59/25,26/11) -> (26/3,9/1) Hyperbolic Matrix(1801,-4284,272,-647) (19/8,69/29) -> (33/5,53/8) Hyperbolic Matrix(1733,-4148,526,-1259) (55/23,12/5) -> (56/17,89/27) Hyperbolic Matrix(1903,-4692,552,-1361) (32/13,37/15) -> (31/9,100/29) Hyperbolic Matrix(239,-612,66,-169) (5/2,18/7) -> (18/5,29/8) Hyperbolic Matrix(2823,-7276,646,-1665) (67/26,49/19) -> (83/19,35/8) Hyperbolic Matrix(4931,-13464,1332,-3637) (101/37,71/26) -> (37/10,137/37) Hyperbolic Matrix(239,-748,54,-169) (3/1,19/6) -> (53/12,31/7) Hyperbolic Matrix(407,-1292,86,-273) (19/6,16/5) -> (52/11,19/4) Hyperbolic Matrix(169,-544,32,-103) (16/5,13/4) -> (21/4,16/3) Hyperbolic Matrix(271,-884,42,-137) (13/4,36/11) -> (32/5,13/2) Hyperbolic Matrix(103,-340,10,-33) (33/10,10/3) -> (10/1,1/0) Hyperbolic Matrix(8873,-30600,2396,-8263) (100/29,69/20) -> (237/64,100/27) Hyperbolic Matrix(1667,-5916,450,-1597) (39/11,32/9) -> (100/27,63/17) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(33,340,-10,-103) -> Matrix(7,2,-60,-17) Matrix(203,1768,-86,-749) -> Matrix(77,20,-1028,-267) Matrix(33,272,4,33) -> Matrix(17,4,72,17) Matrix(35,272,22,171) -> Matrix(17,4,344,81) Matrix(101,680,-86,-579) -> Matrix(41,8,-1102,-215) Matrix(135,884,-104,-681) -> Matrix(11,2,-270,-49) Matrix(137,884,-42,-271) -> Matrix(9,2,-86,-19) Matrix(205,1292,162,1021) -> Matrix(11,2,280,51) Matrix(339,2108,142,883) -> Matrix(119,22,1574,291) Matrix(35,204,6,35) -> Matrix(11,2,60,11) Matrix(169,952,30,169) -> Matrix(49,8,300,49) Matrix(171,952,104,579) -> Matrix(1,0,26,1) Matrix(101,544,44,237) -> Matrix(23,4,316,55) Matrix(103,544,-32,-169) -> Matrix(25,4,-244,-39) Matrix(169,816,-134,-647) -> Matrix(29,4,-718,-99) Matrix(511,2448,-234,-1121) -> Matrix(89,12,-1298,-175) Matrix(271,1292,228,1087) -> Matrix(13,2,344,53) Matrix(273,1292,-86,-407) -> Matrix(15,2,-158,-21) Matrix(953,4488,-664,-3127) -> Matrix(35,4,-814,-93) Matrix(681,3196,290,1361) -> Matrix(31,2,418,27) Matrix(407,1904,-320,-1497) -> Matrix(1,0,-20,1) Matrix(103,476,-66,-305) -> Matrix(15,2,-308,-41) Matrix(443,1972,-206,-917) -> Matrix(43,6,-638,-89) Matrix(919,4080,-712,-3161) -> Matrix(31,4,-752,-97) Matrix(647,2856,-408,-1801) -> Matrix(69,8,-1406,-163) Matrix(681,2992,-526,-2311) -> Matrix(1,0,-12,1) Matrix(543,2380,248,1087) -> Matrix(1,2,14,29) Matrix(203,884,-172,-749) -> Matrix(15,2,-398,-53) Matrix(679,2924,284,1223) -> Matrix(43,6,566,79) Matrix(443,1904,198,851) -> Matrix(33,4,470,57) Matrix(239,1020,56,239) -> Matrix(15,2,112,15) Matrix(33,136,8,33) -> Matrix(1,0,16,1) Matrix(35,136,-26,-101) -> Matrix(1,0,-16,1) Matrix(237,884,100,373) -> Matrix(19,2,256,27) Matrix(477,1768,92,341) -> Matrix(35,4,236,27) Matrix(679,2516,-404,-1497) -> Matrix(53,6,-1016,-115) Matrix(203,748,92,339) -> Matrix(21,2,304,29) Matrix(169,612,-66,-239) -> Matrix(15,2,-188,-25) Matrix(341,1224,-246,-883) -> Matrix(33,4,-784,-95) Matrix(477,1700,172,613) -> Matrix(17,2,178,21) Matrix(307,1088,-182,-645) -> Matrix(35,4,-674,-77) Matrix(511,1768,-324,-1121) -> Matrix(67,8,-1382,-165) Matrix(613,2108,376,1293) -> Matrix(15,2,292,39) Matrix(239,816,70,239) -> Matrix(35,4,306,35) Matrix(101,340,30,101) -> Matrix(19,2,180,19) Matrix(1395,4624,626,2075) -> Matrix(17,4,242,57) Matrix(883,2924,472,1563) -> Matrix(43,6,738,103) Matrix(1361,4488,-1072,-3535) -> Matrix(35,4,-814,-93) Matrix(1735,5712,-1208,-3977) -> Matrix(107,12,-2470,-277) Matrix(477,1564,104,341) -> Matrix(19,2,142,15) Matrix(645,2108,-302,-987) -> Matrix(127,14,-1896,-209) Matrix(715,2312,-578,-1869) -> Matrix(153,16,-3892,-407) Matrix(1053,3400,284,917) -> Matrix(77,8,664,69) Matrix(1257,4012,266,849) -> Matrix(59,6,462,47) Matrix(2413,7684,1014,3229) -> Matrix(263,26,3510,347) Matrix(409,1292,-258,-815) -> Matrix(15,2,-308,-41) Matrix(237,680,130,373) -> Matrix(85,8,1498,141) Matrix(239,680,84,239) -> Matrix(87,8,946,87) Matrix(169,476,60,169) -> Matrix(67,6,748,67) Matrix(171,476,-134,-373) -> Matrix(23,2,-564,-49) Matrix(373,1020,-162,-443) -> Matrix(159,14,-2192,-193) Matrix(749,2040,-474,-1291) -> Matrix(321,28,-6592,-575) Matrix(1055,2856,-816,-2209) -> Matrix(93,8,-2174,-187) Matrix(679,1836,402,1087) -> Matrix(117,10,2258,193) Matrix(101,272,88,237) -> Matrix(47,4,1304,111) Matrix(103,272,-64,-169) -> Matrix(47,4,-952,-81) Matrix(341,884,184,477) -> Matrix(171,14,2968,243) Matrix(815,2108,578,1495) -> Matrix(25,2,612,49) Matrix(817,2108,-474,-1223) -> Matrix(27,2,-500,-37) Matrix(373,952,306,781) -> Matrix(1,0,38,1) Matrix(883,2244,508,1291) -> Matrix(319,26,5926,483) Matrix(511,1292,-282,-713) -> Matrix(273,22,-4852,-391) Matrix(443,1088,-318,-781) -> Matrix(51,4,-1186,-93) Matrix(749,1836,472,1157) -> Matrix(127,10,2578,203) Matrix(307,748,126,307) -> Matrix(181,14,2340,181) Matrix(169,408,70,169) -> Matrix(105,8,1378,105) Matrix(2075,4964,-1634,-3909) -> Matrix(79,6,-1804,-137) Matrix(1223,2924,284,679) -> Matrix(79,6,566,43) Matrix(883,2108,142,339) -> Matrix(291,22,1574,119) Matrix(4217,10064,-2450,-5847) -> Matrix(1377,104,-25832,-1951) Matrix(885,2108,-542,-1291) -> Matrix(27,2,-500,-37) Matrix(373,884,100,237) -> Matrix(27,2,256,19) Matrix(1123,2652,130,307) -> Matrix(293,22,1132,85) Matrix(1701,4012,-778,-1835) -> Matrix(829,62,-12074,-903) Matrix(953,2244,578,1361) -> Matrix(349,26,6886,513) Matrix(781,1836,-362,-851) -> Matrix(511,38,-7544,-561) Matrix(205,476,-146,-339) -> Matrix(27,2,-662,-49) Matrix(237,544,44,101) -> Matrix(55,4,316,23) Matrix(239,544,-134,-305) -> Matrix(167,12,-3020,-217) Matrix(851,1904,198,443) -> Matrix(57,4,470,33) Matrix(1767,3944,-1280,-2857) -> Matrix(57,4,-1240,-87) Matrix(4759,10608,-2624,-5849) -> Matrix(2623,184,-46544,-3265) Matrix(885,1972,92,205) -> Matrix(485,34,1726,121) Matrix(1803,4012,-1390,-3093) -> Matrix(143,10,-3618,-253) Matrix(307,680,200,443) -> Matrix(115,8,2458,171) Matrix(339,748,92,203) -> Matrix(29,2,304,21) Matrix(1087,2380,248,543) -> Matrix(29,2,14,1) Matrix(407,884,250,543) -> Matrix(205,14,4056,277) Matrix(1259,2720,268,579) -> Matrix(59,4,634,43) Matrix(1361,2924,950,2041) -> Matrix(89,6,2210,149) Matrix(1021,2176,160,341) -> Matrix(239,16,1180,79) Matrix(33,68,16,33) -> Matrix(31,2,480,31) Matrix(35,68,18,35) -> Matrix(33,2,544,33) Matrix(579,1088,-488,-917) -> Matrix(205,12,-5518,-323) Matrix(1055,1972,-818,-1529) -> Matrix(103,6,-2558,-149) Matrix(985,1836,-566,-1055) -> Matrix(655,38,-12152,-705) Matrix(477,884,184,341) -> Matrix(243,14,2968,171) Matrix(1327,2448,-1050,-1937) -> Matrix(209,12,-5138,-295) Matrix(1293,2380,998,1837) -> Matrix(35,2,1102,63) Matrix(409,748,298,545) -> Matrix(35,2,752,43) Matrix(373,680,130,237) -> Matrix(141,8,1498,85) Matrix(1123,2040,-954,-1733) -> Matrix(283,16,-7588,-429) Matrix(2549,4624,1780,3229) -> Matrix(71,4,1970,111) Matrix(10199,18496,4574,8295) -> Matrix(5679,320,80908,4559) Matrix(10201,18496,4576,8297) -> Matrix(5681,320,80972,4561) Matrix(3231,5848,1184,2143) -> Matrix(713,40,8146,457) Matrix(1053,1904,808,1461) -> Matrix(71,4,1686,95) Matrix(645,1156,284,509) -> Matrix(467,26,6520,363) Matrix(647,1156,286,511) -> Matrix(469,26,6584,365) Matrix(307,544,250,443) -> Matrix(73,4,1916,105) Matrix(577,1020,-366,-647) -> Matrix(255,14,-5264,-289) Matrix(1835,3196,1444,2515) -> Matrix(37,2,610,33) Matrix(2347,4080,646,1123) -> Matrix(223,12,1914,103) Matrix(3095,5372,-2448,-4249) -> Matrix(261,14,-6320,-339) Matrix(1019,1768,-902,-1565) -> Matrix(373,20,-10500,-563) Matrix(511,884,374,647) -> Matrix(37,2,832,45) Matrix(2483,4284,-2108,-3637) -> Matrix(335,18,-8952,-481) Matrix(4455,7684,3056,5271) -> Matrix(485,26,10614,569) Matrix(3707,6392,1440,2483) -> Matrix(299,16,3644,195) Matrix(10743,18496,4502,7751) -> Matrix(3599,192,47668,2543) Matrix(10745,18496,4504,7753) -> Matrix(3601,192,47732,2545) Matrix(1225,2108,1028,1769) -> Matrix(413,22,10982,585) Matrix(1701,2924,1306,2245) -> Matrix(113,6,2806,149) Matrix(2415,4148,-1682,-2889) -> Matrix(189,10,-4366,-231) Matrix(239,408,140,239) -> Matrix(151,8,2850,151) Matrix(441,748,260,441) -> Matrix(267,14,5092,267) Matrix(1087,1836,402,679) -> Matrix(193,10,2258,117) Matrix(2789,4692,-1980,-3331) -> Matrix(115,6,-2626,-137) Matrix(373,612,-270,-443) -> Matrix(39,2,-956,-49) Matrix(3909,6392,1642,2685) -> Matrix(317,16,4220,213) Matrix(5201,8500,1102,1801) -> Matrix(121,6,988,49) Matrix(4453,7276,-3434,-5611) -> Matrix(41,2,-1046,-51) Matrix(1293,2108,376,613) -> Matrix(39,2,292,15) Matrix(543,884,250,407) -> Matrix(277,14,4056,205) Matrix(713,1156,272,441) -> Matrix(359,18,4288,215) Matrix(715,1156,274,443) -> Matrix(361,18,4352,217) Matrix(171,272,22,35) -> Matrix(81,4,344,17) Matrix(1157,1836,472,749) -> Matrix(203,10,2578,127) Matrix(2923,4624,1074,1699) -> Matrix(1311,64,15056,735) Matrix(2925,4624,1076,1701) -> Matrix(1313,64,15120,737) Matrix(3705,5848,1658,2617) -> Matrix(823,40,11666,567) Matrix(8533,13464,-6228,-9827) -> Matrix(165,8,-3692,-179) Matrix(781,1224,238,373) -> Matrix(1,0,30,1) Matrix(1087,1700,782,1223) -> Matrix(43,2,1010,47) Matrix(307,476,198,307) -> Matrix(125,6,2604,125) Matrix(441,680,286,441) -> Matrix(169,8,3570,169) Matrix(443,680,200,307) -> Matrix(171,8,2458,115) Matrix(509,748,-394,-579) -> Matrix(45,2,-1058,-47) Matrix(885,1292,-698,-1019) -> Matrix(43,2,-1054,-49) Matrix(375,544,-304,-441) -> Matrix(89,4,-2292,-103) Matrix(613,884,-518,-747) -> Matrix(45,2,-1238,-55) Matrix(851,1224,308,443) -> Matrix(1,0,34,1) Matrix(7241,10404,2200,3161) -> Matrix(505,22,4522,197) Matrix(7243,10404,2202,3163) -> Matrix(507,22,4586,199) Matrix(237,340,-214,-307) -> Matrix(47,2,-1340,-57) Matrix(239,340,168,239) -> Matrix(45,2,1012,45) Matrix(577,816,408,577) -> Matrix(93,4,2162,93) Matrix(1495,2108,578,815) -> Matrix(49,2,612,25) Matrix(21727,30600,-15860,-22337) -> Matrix(183,8,-4232,-185) Matrix(6665,9384,1836,2585) -> Matrix(93,4,860,37) Matrix(4249,5916,-3102,-4319) -> Matrix(45,2,-1058,-47) Matrix(783,1088,172,239) -> Matrix(93,4,674,29) Matrix(3331,4624,930,1291) -> Matrix(375,16,3164,135) Matrix(3333,4624,932,1293) -> Matrix(377,16,3228,137) Matrix(6799,9384,1970,2719) -> Matrix(91,4,796,35) Matrix(2957,4080,1256,1733) -> Matrix(281,12,3770,161) Matrix(543,748,98,135) -> Matrix(49,2,318,13) Matrix(545,748,298,409) -> Matrix(43,2,752,35) Matrix(102101,139876,27572,37773) -> Matrix(689,30,6178,269) Matrix(102103,139876,27574,37775) -> Matrix(691,30,6242,271) Matrix(2483,3400,1714,2347) -> Matrix(187,8,4184,179) Matrix(647,884,374,511) -> Matrix(45,2,832,37) Matrix(849,1156,224,305) -> Matrix(47,2,352,15) Matrix(851,1156,226,307) -> Matrix(49,2,416,17) Matrix(103,136,78,103) -> Matrix(1,0,48,1) Matrix(781,1020,598,781) -> Matrix(49,2,1200,49) Matrix(1461,1904,808,1053) -> Matrix(95,4,1686,71) Matrix(2245,2924,1306,1701) -> Matrix(149,6,2806,113) Matrix(1837,2380,998,1293) -> Matrix(63,2,1102,35) Matrix(14279,18496,3254,4215) -> Matrix(1,0,60,1) Matrix(14281,18496,3256,4217) -> Matrix(1,0,4,1) Matrix(8057,10404,1816,2345) -> Matrix(239,10,1888,79) Matrix(8059,10404,1818,2347) -> Matrix(241,10,1952,81) Matrix(475,612,52,67) -> Matrix(47,2,164,7) Matrix(849,1088,238,305) -> Matrix(99,4,866,35) Matrix(1223,1564,850,1087) -> Matrix(49,2,1102,45) Matrix(14551,18496,3102,3943) -> Matrix(1,0,56,1) Matrix(14553,18496,3104,3945) -> Matrix(1,0,8,1) Matrix(2141,2720,1150,1461) -> Matrix(85,4,1466,69) Matrix(6699,8500,2600,3299) -> Matrix(143,6,1692,71) Matrix(3163,4012,2172,2755) -> Matrix(145,6,3214,133) Matrix(1021,1292,162,205) -> Matrix(51,2,280,11) Matrix(917,1156,188,237) -> Matrix(149,6,1018,41) Matrix(919,1156,190,239) -> Matrix(151,6,1082,43) Matrix(1427,1768,1042,1291) -> Matrix(101,4,2348,93) Matrix(3739,4624,714,883) -> Matrix(815,32,5272,207) Matrix(3741,4624,716,885) -> Matrix(817,32,5336,209) Matrix(443,544,250,307) -> Matrix(105,4,1916,73) Matrix(613,748,168,205) -> Matrix(51,2,382,15) Matrix(783,952,644,783) -> Matrix(207,8,5356,207) Matrix(169,204,140,169) -> Matrix(53,2,1404,53) Matrix(1769,2108,1028,1225) -> Matrix(585,22,10982,413) Matrix(1087,1292,228,271) -> Matrix(53,2,344,13) Matrix(1835,2176,974,1155) -> Matrix(433,16,7388,273) Matrix(985,1156,144,169) -> Matrix(377,14,1858,69) Matrix(987,1156,146,171) -> Matrix(379,14,1922,71) Matrix(237,272,88,101) -> Matrix(111,4,1304,47) Matrix(239,272,210,239) -> Matrix(111,4,3080,111) Matrix(2345,2652,1352,1529) -> Matrix(619,22,11564,411) Matrix(545,612,122,137) -> Matrix(57,2,484,17) Matrix(1767,1972,974,1087) -> Matrix(967,34,17150,603) Matrix(1,0,2,1) -> Matrix(1,0,64,1) Matrix(307,-340,214,-237) -> Matrix(57,-2,1340,-47) Matrix(1565,-1768,902,-1019) -> Matrix(563,-20,10500,-373) Matrix(579,-680,86,-101) -> Matrix(215,-8,1102,-41) Matrix(749,-884,172,-203) -> Matrix(53,-2,398,-15) Matrix(747,-884,518,-613) -> Matrix(55,-2,1238,-45) Matrix(441,-544,304,-375) -> Matrix(103,-4,2292,-89) Matrix(647,-816,134,-169) -> Matrix(99,-4,718,-29) Matrix(1937,-2448,1050,-1327) -> Matrix(295,-12,5138,-209) Matrix(1019,-1292,698,-885) -> Matrix(49,-2,1054,-43) Matrix(3535,-4488,1072,-1361) -> Matrix(93,-4,814,-35) Matrix(1497,-1904,320,-407) -> Matrix(1,0,-20,1) Matrix(373,-476,134,-171) -> Matrix(49,-2,564,-23) Matrix(1529,-1972,818,-1055) -> Matrix(149,-6,2558,-103) Matrix(3161,-4080,712,-919) -> Matrix(97,-4,752,-31) Matrix(2209,-2856,816,-1055) -> Matrix(187,-8,2174,-93) Matrix(2311,-2992,526,-681) -> Matrix(1,0,-12,1) Matrix(681,-884,104,-135) -> Matrix(49,-2,270,-11) Matrix(101,-136,26,-35) -> Matrix(1,0,-16,1) Matrix(1837,-2516,744,-1019) -> Matrix(139,-6,1784,-77) Matrix(443,-612,270,-373) -> Matrix(49,-2,956,-39) Matrix(883,-1224,246,-341) -> Matrix(95,-4,784,-33) Matrix(781,-1088,318,-443) -> Matrix(93,-4,1186,-51) Matrix(1257,-1768,460,-647) -> Matrix(189,-8,2150,-91) Matrix(3127,-4488,664,-953) -> Matrix(93,-4,814,-35) Matrix(3977,-5712,1208,-1735) -> Matrix(277,-12,2470,-107) Matrix(1463,-2108,778,-1121) -> Matrix(321,-14,5480,-239) Matrix(1597,-2312,306,-443) -> Matrix(359,-16,2356,-105) Matrix(883,-1292,326,-477) -> Matrix(49,-2,564,-23) Matrix(305,-476,66,-103) -> Matrix(41,-2,308,-15) Matrix(647,-1020,366,-577) -> Matrix(289,-14,5264,-255) Matrix(1291,-2040,474,-749) -> Matrix(575,-28,6592,-321) Matrix(1801,-2856,408,-647) -> Matrix(163,-8,1406,-69) Matrix(169,-272,64,-103) -> Matrix(81,-4,952,-47) Matrix(1291,-2108,542,-885) -> Matrix(37,-2,500,-27) Matrix(781,-1292,350,-579) -> Matrix(431,-22,6132,-313) Matrix(645,-1088,182,-307) -> Matrix(77,-4,674,-35) Matrix(2889,-4964,614,-1055) -> Matrix(113,-6,1036,-55) Matrix(5847,-10064,2450,-4217) -> Matrix(1951,-104,25832,-1377) Matrix(1223,-2108,474,-817) -> Matrix(37,-2,500,-27) Matrix(2311,-4012,1254,-2177) -> Matrix(1155,-62,20138,-1081) Matrix(1055,-1836,566,-985) -> Matrix(705,-38,12152,-655) Matrix(271,-476,78,-137) -> Matrix(37,-2,278,-15) Matrix(305,-544,134,-239) -> Matrix(217,-12,3020,-167) Matrix(2177,-3944,600,-1087) -> Matrix(71,-4,728,-41) Matrix(5849,-10608,2624,-4759) -> Matrix(3265,-184,46544,-2623) Matrix(2209,-4012,506,-919) -> Matrix(177,-10,1186,-67) Matrix(509,-1088,80,-171) -> Matrix(179,-12,910,-61) Matrix(917,-1972,206,-443) -> Matrix(89,-6,638,-43) Matrix(851,-1836,362,-781) -> Matrix(561,-38,7544,-511) Matrix(1121,-2448,234,-511) -> Matrix(175,-12,1298,-89) Matrix(917,-2040,138,-307) -> Matrix(229,-16,1188,-83) Matrix(443,-1020,162,-373) -> Matrix(193,-14,2192,-159) Matrix(2277,-5372,476,-1123) -> Matrix(187,-14,1456,-109) Matrix(749,-1768,86,-203) -> Matrix(267,-20,1028,-77) Matrix(1801,-4284,272,-647) -> Matrix(241,-18,1272,-95) Matrix(1733,-4148,526,-1259) -> Matrix(131,-10,1166,-89) Matrix(1903,-4692,552,-1361) -> Matrix(77,-6,706,-55) Matrix(239,-612,66,-169) -> Matrix(25,-2,188,-15) Matrix(2823,-7276,646,-1665) -> Matrix(23,-2,150,-13) Matrix(4931,-13464,1332,-3637) -> Matrix(91,-8,876,-77) Matrix(239,-748,54,-169) -> Matrix(19,-2,162,-17) Matrix(407,-1292,86,-273) -> Matrix(21,-2,158,-15) Matrix(169,-544,32,-103) -> Matrix(39,-4,244,-25) Matrix(271,-884,42,-137) -> Matrix(19,-2,86,-9) Matrix(103,-340,10,-33) -> Matrix(17,-2,60,-7) Matrix(8873,-30600,2396,-8263) -> Matrix(73,-8,648,-71) Matrix(1667,-5916,450,-1597) -> Matrix(19,-2,162,-17) 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: 48 Genus: 49 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 2/1 17/8 136/61 34/15 136/57 12/5 17/7 34/13 68/25 17/6 3/1 102/31 17/5 68/19 18/5 374/101 34/9 4/1 17/4 30/7 136/31 22/5 102/23 14/3 136/29 85/18 24/5 34/7 5/1 68/13 16/3 11/2 28/5 17/3 6/1 32/5 13/2 20/3 34/5 7/1 8/1 17/2 26/3 9/1 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES 0/1 0/1 1/1 1/32 9/8 1/28 17/15 1/28 8/7 1/28 2/55 7/6 3/82 20/17 1/27 4/107 13/11 1/26 19/16 5/134 25/21 3/80 6/5 1/26 17/14 1/26 28/23 1/26 4/103 11/9 3/76 16/13 1/26 2/51 5/4 1/26 24/19 1/25 2/49 43/34 1/24 19/15 3/74 33/26 5/118 47/37 1/22 61/48 1/14 14/11 1/26 9/7 1/24 40/31 2/49 1/24 31/24 1/24 22/17 1/22 57/44 1/36 35/27 3/80 13/10 1/24 43/33 1/24 30/23 1/24 17/13 1/24 4/3 0/1 1/24 15/11 1/24 26/19 1/24 63/46 3/70 37/27 1/24 11/8 1/26 18/13 1/24 25/18 3/70 32/23 2/47 1/23 7/5 1/22 31/22 1/22 24/17 2/47 1/23 17/12 1/23 10/7 1/22 53/37 1/26 43/30 1/24 33/23 7/164 56/39 6/139 1/23 23/16 5/114 36/25 0/1 1/23 49/34 7/160 13/9 3/68 42/29 5/112 29/20 1/22 16/11 2/45 1/22 51/35 1/22 35/24 9/196 19/13 1/20 3/2 1/22 20/13 4/85 1/21 17/11 1/21 14/9 3/62 11/7 5/104 30/19 7/144 19/12 9/184 46/29 11/224 27/17 5/102 8/5 2/41 1/20 13/8 1/20 44/27 4/79 3/59 31/19 5/98 18/11 1/20 23/14 3/58 28/17 1/20 4/79 33/20 19/374 5/3 3/58 27/16 5/96 22/13 7/134 17/10 1/19 12/7 1/19 4/75 55/32 5/94 43/25 5/94 74/43 13/244 31/18 11/206 19/11 3/56 26/15 3/56 85/49 3/56 59/34 3/56 33/19 23/428 40/23 7/130 2/37 7/4 5/92 30/17 7/128 23/13 11/200 16/9 6/109 1/18 9/5 1/18 38/21 1/18 29/16 17/302 78/43 23/408 49/27 7/124 20/11 4/71 3/53 31/17 5/88 11/6 9/158 35/19 29/506 59/32 7/122 24/13 2/35 5/87 13/7 3/52 41/22 29/500 28/15 4/69 5/86 43/23 5/86 15/8 7/120 32/17 14/239 1/17 17/9 1/17 2/1 1/16 17/8 1/15 15/7 7/104 28/13 5/74 4/59 13/6 3/44 24/11 5/73 2/29 35/16 29/422 11/5 9/130 31/14 5/72 20/9 3/43 4/57 49/22 7/100 78/35 23/328 107/48 63/898 136/61 4/57 29/13 17/242 67/30 39/554 38/17 1/14 9/4 1/14 34/15 1/14 25/11 1/14 16/7 1/14 6/83 23/10 11/152 7/3 5/68 47/20 11/148 40/17 2/27 7/94 33/14 23/308 59/25 3/40 26/11 3/40 19/8 3/40 69/29 25/334 119/50 3/40 50/21 3/40 31/13 11/146 136/57 4/53 105/44 37/490 74/31 13/172 43/18 5/66 55/23 5/66 12/5 4/53 1/13 17/7 1/13 22/9 7/90 27/11 5/64 32/13 1/13 2/25 37/15 5/64 5/2 3/38 18/7 1/12 85/33 1/12 67/26 7/82 49/19 1/12 31/12 5/62 44/17 3/37 4/49 13/5 1/12 34/13 1/12 21/8 1/12 8/3 1/12 2/23 27/10 5/58 46/17 11/128 65/24 5/58 19/7 9/104 68/25 2/23 49/18 23/264 30/11 7/80 101/37 47/536 71/26 13/148 41/15 13/148 11/4 5/56 36/13 0/1 1/11 25/9 1/12 14/5 3/34 17/6 1/11 20/7 1/11 4/43 3/1 1/10 19/6 1/12 16/5 1/10 2/19 13/4 3/28 36/11 0/1 1/9 23/7 5/46 102/31 1/9 79/24 17/152 56/17 1/9 6/53 89/27 5/44 33/10 7/60 10/3 1/10 17/5 1/9 24/7 1/9 2/17 31/9 1/10 100/29 4/37 1/9 69/20 11/98 38/11 3/26 7/2 1/10 39/11 1/8 32/9 1/9 2/17 25/7 3/26 68/19 2/17 43/12 5/42 18/5 1/8 29/8 1/6 98/27 1/10 69/19 7/62 40/11 2/17 1/8 11/3 1/6 37/10 1/8 137/37 11/100 374/101 1/9 237/64 19/170 100/27 1/9 4/35 63/17 3/26 26/7 1/8 15/4 1/8 34/9 1/8 19/5 1/8 4/1 0/1 1/8 17/4 1/8 30/7 1/8 43/10 1/8 13/3 1/8 48/11 1/7 2/13 83/19 1/6 35/8 3/16 57/13 -1/4 136/31 0/1 79/18 1/24 22/5 1/10 53/12 5/42 31/7 1/8 102/23 1/8 71/16 1/8 40/9 1/8 2/15 49/11 1/6 9/2 1/8 32/7 2/15 1/7 23/5 3/20 14/3 1/6 75/16 -1/6 136/29 0/1 61/13 1/18 47/10 1/10 80/17 2/19 1/9 33/7 5/42 85/18 1/8 52/11 1/8 4/31 19/4 3/22 43/9 1/8 67/14 11/84 24/5 2/15 1/7 29/6 5/36 34/7 1/7 5/1 1/6 26/5 3/20 47/9 11/72 68/13 2/13 21/4 5/32 16/3 2/13 1/6 11/2 3/20 28/5 4/25 1/6 17/3 1/6 6/1 1/6 25/4 3/16 19/3 5/26 51/8 1/5 32/5 1/5 2/9 13/2 1/6 33/5 13/70 53/8 3/16 20/3 4/21 1/5 27/4 11/56 34/5 1/5 7/1 3/14 8/1 2/9 1/4 17/2 1/4 26/3 1/4 9/1 1/4 19/2 5/18 10/1 3/10 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,1,1) (0/1,1/0) -> (0/1,1/1) Parabolic Matrix(307,-340,214,-237) (1/1,9/8) -> (43/30,33/23) Hyperbolic Matrix(1565,-1768,902,-1019) (9/8,17/15) -> (85/49,59/34) Hyperbolic Matrix(239,-272,29,-33) (17/15,8/7) -> (8/1,17/2) Hyperbolic Matrix(237,-272,149,-171) (8/7,7/6) -> (27/17,8/5) Hyperbolic Matrix(579,-680,86,-101) (7/6,20/17) -> (20/3,27/4) Hyperbolic Matrix(749,-884,172,-203) (20/17,13/11) -> (13/3,48/11) Hyperbolic Matrix(747,-884,518,-613) (13/11,19/16) -> (49/34,13/9) Hyperbolic Matrix(1087,-1292,859,-1021) (19/16,25/21) -> (43/34,19/15) Hyperbolic Matrix(1769,-2108,741,-883) (25/21,6/5) -> (74/31,43/18) Hyperbolic Matrix(169,-204,29,-35) (6/5,17/14) -> (17/3,6/1) Hyperbolic Matrix(783,-952,139,-169) (17/14,28/23) -> (28/5,17/3) Hyperbolic Matrix(781,-952,475,-579) (28/23,11/9) -> (23/14,28/17) Hyperbolic Matrix(443,-544,193,-237) (11/9,16/13) -> (16/7,23/10) Hyperbolic Matrix(441,-544,304,-375) (16/13,5/4) -> (29/20,16/11) Hyperbolic Matrix(647,-816,134,-169) (5/4,24/19) -> (24/5,29/6) Hyperbolic Matrix(1937,-2448,1050,-1327) (24/19,43/34) -> (59/32,24/13) Hyperbolic Matrix(1019,-1292,698,-885) (19/15,33/26) -> (35/24,19/13) Hyperbolic Matrix(3535,-4488,1072,-1361) (33/26,47/37) -> (89/27,33/10) Hyperbolic Matrix(2515,-3196,1071,-1361) (47/37,61/48) -> (7/3,47/20) Hyperbolic Matrix(1497,-1904,320,-407) (61/48,14/11) -> (14/3,75/16) Hyperbolic Matrix(373,-476,134,-171) (14/11,9/7) -> (25/9,14/5) Hyperbolic Matrix(1529,-1972,818,-1055) (9/7,40/31) -> (28/15,43/23) Hyperbolic Matrix(3161,-4080,712,-919) (40/31,31/24) -> (71/16,40/9) Hyperbolic Matrix(2209,-2856,816,-1055) (31/24,22/17) -> (46/17,65/24) Hyperbolic Matrix(2311,-2992,526,-681) (22/17,57/44) -> (79/18,22/5) Hyperbolic Matrix(1837,-2380,839,-1087) (57/44,35/27) -> (35/16,11/5) Hyperbolic Matrix(681,-884,104,-135) (35/27,13/10) -> (13/2,33/5) Hyperbolic Matrix(2245,-2924,939,-1223) (13/10,43/33) -> (43/18,55/23) Hyperbolic Matrix(1461,-1904,653,-851) (43/33,30/23) -> (38/17,9/4) Hyperbolic Matrix(781,-1020,183,-239) (30/23,17/13) -> (17/4,30/7) Hyperbolic Matrix(103,-136,25,-33) (17/13,4/3) -> (4/1,17/4) Hyperbolic Matrix(101,-136,26,-35) (4/3,15/11) -> (19/5,4/1) Hyperbolic Matrix(647,-884,273,-373) (15/11,26/19) -> (26/11,19/8) Hyperbolic Matrix(1291,-1768,249,-341) (26/19,63/46) -> (5/1,26/5) Hyperbolic Matrix(1837,-2516,744,-1019) (63/46,37/27) -> (37/15,5/2) Hyperbolic Matrix(545,-748,247,-339) (37/27,11/8) -> (11/5,31/14) Hyperbolic Matrix(443,-612,270,-373) (11/8,18/13) -> (18/11,23/14) Hyperbolic Matrix(883,-1224,246,-341) (18/13,25/18) -> (43/12,18/5) Hyperbolic Matrix(1223,-1700,441,-613) (25/18,32/23) -> (36/13,25/9) Hyperbolic Matrix(781,-1088,318,-443) (32/23,7/5) -> (27/11,32/13) Hyperbolic Matrix(1257,-1768,460,-647) (7/5,31/22) -> (71/26,41/15) Hyperbolic Matrix(1495,-2108,917,-1293) (31/22,24/17) -> (44/27,31/19) Hyperbolic Matrix(577,-816,169,-239) (24/17,17/12) -> (17/5,24/7) Hyperbolic Matrix(239,-340,71,-101) (17/12,10/7) -> (10/3,17/5) Hyperbolic Matrix(3229,-4624,1449,-2075) (10/7,53/37) -> (49/22,78/35) Hyperbolic Matrix(2041,-2924,1091,-1563) (53/37,43/30) -> (43/23,15/8) Hyperbolic Matrix(3127,-4488,664,-953) (33/23,56/39) -> (80/17,33/7) Hyperbolic Matrix(3977,-5712,1208,-1735) (56/39,23/16) -> (79/24,56/17) Hyperbolic Matrix(1087,-1564,237,-341) (23/16,36/25) -> (32/7,23/5) Hyperbolic Matrix(1463,-2108,778,-1121) (36/25,49/34) -> (15/8,32/17) Hyperbolic Matrix(1597,-2312,306,-443) (13/9,42/29) -> (26/5,47/9) Hyperbolic Matrix(2347,-3400,633,-917) (42/29,29/20) -> (63/17,26/7) Hyperbolic Matrix(2755,-4012,583,-849) (16/11,51/35) -> (85/18,52/11) Hyperbolic Matrix(5271,-7684,2215,-3229) (51/35,35/24) -> (69/29,119/50) Hyperbolic Matrix(883,-1292,326,-477) (19/13,3/2) -> (65/24,19/7) Hyperbolic Matrix(443,-680,243,-373) (3/2,20/13) -> (20/11,31/17) Hyperbolic Matrix(441,-680,155,-239) (20/13,17/11) -> (17/6,20/7) Hyperbolic Matrix(307,-476,109,-169) (17/11,14/9) -> (14/5,17/6) Hyperbolic Matrix(305,-476,66,-103) (14/9,11/7) -> (23/5,14/3) Hyperbolic Matrix(647,-1020,366,-577) (11/7,30/19) -> (30/17,23/13) Hyperbolic Matrix(1291,-2040,474,-749) (30/19,19/12) -> (49/18,30/11) Hyperbolic Matrix(1801,-2856,408,-647) (19/12,46/29) -> (22/5,53/12) Hyperbolic Matrix(1157,-1836,685,-1087) (46/29,27/17) -> (27/16,22/13) Hyperbolic Matrix(169,-272,64,-103) (8/5,13/8) -> (21/8,8/3) Hyperbolic Matrix(543,-884,293,-477) (13/8,44/27) -> (24/13,13/7) Hyperbolic Matrix(1291,-2108,542,-885) (31/19,18/11) -> (50/21,31/13) Hyperbolic Matrix(1361,-2244,783,-1291) (28/17,33/20) -> (33/19,40/23) Hyperbolic Matrix(781,-1292,350,-579) (33/20,5/3) -> (29/13,67/30) Hyperbolic Matrix(645,-1088,182,-307) (5/3,27/16) -> (7/2,39/11) Hyperbolic Matrix(441,-748,181,-307) (22/13,17/10) -> (17/7,22/9) Hyperbolic Matrix(239,-408,99,-169) (17/10,12/7) -> (12/5,17/7) Hyperbolic Matrix(2889,-4964,614,-1055) (12/7,55/32) -> (47/10,80/17) Hyperbolic Matrix(1701,-2924,395,-679) (55/32,43/25) -> (43/10,13/3) Hyperbolic Matrix(1225,-2108,197,-339) (43/25,74/43) -> (6/1,25/4) Hyperbolic Matrix(5847,-10064,2450,-4217) (74/43,31/18) -> (105/44,74/31) Hyperbolic Matrix(1223,-2108,474,-817) (31/18,19/11) -> (49/19,31/12) Hyperbolic Matrix(511,-884,137,-237) (19/11,26/15) -> (26/7,15/4) Hyperbolic Matrix(1529,-2652,177,-307) (26/15,85/49) -> (17/2,26/3) Hyperbolic Matrix(2311,-4012,1254,-2177) (59/34,33/19) -> (35/19,59/32) Hyperbolic Matrix(1055,-1836,566,-985) (40/23,7/4) -> (41/22,28/15) Hyperbolic Matrix(271,-476,78,-137) (7/4,30/17) -> (38/11,7/2) Hyperbolic Matrix(307,-544,57,-101) (23/13,16/9) -> (16/3,11/2) Hyperbolic Matrix(305,-544,134,-239) (16/9,9/5) -> (25/11,16/7) Hyperbolic Matrix(1053,-1904,245,-443) (9/5,38/21) -> (30/7,43/10) Hyperbolic Matrix(2177,-3944,600,-1087) (38/21,29/16) -> (29/8,98/27) Hyperbolic Matrix(5849,-10608,2624,-4759) (29/16,78/43) -> (78/35,107/48) Hyperbolic Matrix(1087,-1972,113,-205) (78/43,49/27) -> (19/2,10/1) Hyperbolic Matrix(2209,-4012,506,-919) (49/27,20/11) -> (48/11,83/19) Hyperbolic Matrix(409,-748,111,-203) (31/17,11/6) -> (11/3,37/10) Hyperbolic Matrix(1293,-2380,295,-543) (11/6,35/19) -> (35/8,57/13) Hyperbolic Matrix(1461,-2720,311,-579) (13/7,41/22) -> (61/13,47/10) Hyperbolic Matrix(1155,-2176,181,-341) (32/17,17/9) -> (51/8,32/5) Hyperbolic Matrix(35,-68,17,-33) (17/9,2/1) -> (2/1,17/8) Parabolic Matrix(509,-1088,80,-171) (17/8,15/7) -> (19/3,51/8) Hyperbolic Matrix(917,-1972,206,-443) (15/7,28/13) -> (40/9,49/11) Hyperbolic Matrix(851,-1836,362,-781) (28/13,13/6) -> (47/20,40/17) Hyperbolic Matrix(407,-884,157,-341) (13/6,24/11) -> (44/17,13/5) Hyperbolic Matrix(1121,-2448,234,-511) (24/11,35/16) -> (67/14,24/5) Hyperbolic Matrix(307,-680,107,-237) (31/14,20/9) -> (20/7,3/1) Hyperbolic Matrix(917,-2040,138,-307) (20/9,49/22) -> (53/8,20/3) Hyperbolic Matrix(8297,-18496,3721,-8295) (107/48,136/61) -> (136/61,29/13) Parabolic Matrix(2617,-5848,959,-2143) (67/30,38/17) -> (30/11,101/37) Hyperbolic Matrix(511,-1156,225,-509) (9/4,34/15) -> (34/15,25/11) Parabolic Matrix(443,-1020,162,-373) (23/10,7/3) -> (41/15,11/4) Hyperbolic Matrix(1733,-4080,477,-1123) (40/17,33/14) -> (69/19,40/11) Hyperbolic Matrix(2277,-5372,476,-1123) (33/14,59/25) -> (43/9,67/14) Hyperbolic Matrix(749,-1768,86,-203) (59/25,26/11) -> (26/3,9/1) Hyperbolic Matrix(1801,-4284,272,-647) (19/8,69/29) -> (33/5,53/8) Hyperbolic Matrix(2685,-6392,1043,-2483) (119/50,50/21) -> (18/7,85/33) Hyperbolic Matrix(7753,-18496,3249,-7751) (31/13,136/57) -> (136/57,105/44) Parabolic Matrix(1733,-4148,526,-1259) (55/23,12/5) -> (56/17,89/27) Hyperbolic Matrix(749,-1836,277,-679) (22/9,27/11) -> (27/10,46/17) Hyperbolic Matrix(1903,-4692,552,-1361) (32/13,37/15) -> (31/9,100/29) Hyperbolic Matrix(239,-612,66,-169) (5/2,18/7) -> (18/5,29/8) Hyperbolic Matrix(3299,-8500,699,-1801) (85/33,67/26) -> (33/7,85/18) Hyperbolic Matrix(2823,-7276,646,-1665) (67/26,49/19) -> (83/19,35/8) Hyperbolic Matrix(815,-2108,237,-613) (31/12,44/17) -> (24/7,31/9) Hyperbolic Matrix(443,-1156,169,-441) (13/5,34/13) -> (34/13,21/8) Parabolic Matrix(101,-272,13,-35) (8/3,27/10) -> (7/1,8/1) Hyperbolic Matrix(1701,-4624,625,-1699) (19/7,68/25) -> (68/25,49/18) Parabolic Matrix(4931,-13464,1332,-3637) (101/37,71/26) -> (37/10,137/37) Hyperbolic Matrix(443,-1224,135,-373) (11/4,36/13) -> (36/11,23/7) Hyperbolic Matrix(239,-748,54,-169) (3/1,19/6) -> (53/12,31/7) Hyperbolic Matrix(407,-1292,86,-273) (19/6,16/5) -> (52/11,19/4) Hyperbolic Matrix(169,-544,32,-103) (16/5,13/4) -> (21/4,16/3) Hyperbolic Matrix(271,-884,42,-137) (13/4,36/11) -> (32/5,13/2) Hyperbolic Matrix(3163,-10404,961,-3161) (23/7,102/31) -> (102/31,79/24) Parabolic Matrix(103,-340,10,-33) (33/10,10/3) -> (10/1,1/0) Hyperbolic Matrix(8873,-30600,2396,-8263) (100/29,69/20) -> (237/64,100/27) Hyperbolic Matrix(2719,-9384,749,-2585) (69/20,38/11) -> (98/27,69/19) Hyperbolic Matrix(1667,-5916,450,-1597) (39/11,32/9) -> (100/27,63/17) Hyperbolic Matrix(305,-1088,67,-239) (32/9,25/7) -> (9/2,32/7) Hyperbolic Matrix(1293,-4624,361,-1291) (25/7,68/19) -> (68/19,43/12) Parabolic Matrix(205,-748,37,-135) (40/11,11/3) -> (11/2,28/5) Hyperbolic Matrix(37775,-139876,10201,-37773) (137/37,374/101) -> (374/101,237/64) Parabolic Matrix(307,-1156,81,-305) (15/4,34/9) -> (34/9,19/5) Parabolic Matrix(4217,-18496,961,-4215) (57/13,136/31) -> (136/31,79/18) Parabolic Matrix(2347,-10404,529,-2345) (31/7,102/23) -> (102/23,71/16) Parabolic Matrix(137,-612,15,-67) (49/11,9/2) -> (9/1,19/2) Hyperbolic Matrix(3945,-18496,841,-3943) (75/16,136/29) -> (136/29,61/13) Parabolic Matrix(271,-1292,43,-205) (19/4,43/9) -> (25/4,19/3) Hyperbolic Matrix(239,-1156,49,-237) (29/6,34/7) -> (34/7,5/1) Parabolic Matrix(885,-4624,169,-883) (47/9,68/13) -> (68/13,21/4) Parabolic Matrix(171,-1156,25,-169) (27/4,34/5) -> (34/5,7/1) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,0,1,1) -> Matrix(1,0,32,1) Matrix(307,-340,214,-237) -> Matrix(57,-2,1340,-47) Matrix(1565,-1768,902,-1019) -> Matrix(563,-20,10500,-373) Matrix(239,-272,29,-33) -> Matrix(111,-4,472,-17) Matrix(237,-272,149,-171) -> Matrix(111,-4,2248,-81) Matrix(579,-680,86,-101) -> Matrix(215,-8,1102,-41) Matrix(749,-884,172,-203) -> Matrix(53,-2,398,-15) Matrix(747,-884,518,-613) -> Matrix(55,-2,1238,-45) Matrix(1087,-1292,859,-1021) -> Matrix(53,-2,1352,-51) Matrix(1769,-2108,741,-883) -> Matrix(585,-22,7738,-291) Matrix(169,-204,29,-35) -> Matrix(53,-2,292,-11) Matrix(783,-952,139,-169) -> Matrix(207,-8,1268,-49) Matrix(781,-952,475,-579) -> Matrix(1,0,-6,1) Matrix(443,-544,193,-237) -> Matrix(105,-4,1444,-55) Matrix(441,-544,304,-375) -> Matrix(103,-4,2292,-89) Matrix(647,-816,134,-169) -> Matrix(99,-4,718,-29) Matrix(1937,-2448,1050,-1327) -> Matrix(295,-12,5138,-209) Matrix(1019,-1292,698,-885) -> Matrix(49,-2,1054,-43) Matrix(3535,-4488,1072,-1361) -> Matrix(93,-4,814,-35) Matrix(2515,-3196,1071,-1361) -> Matrix(33,-2,446,-27) Matrix(1497,-1904,320,-407) -> Matrix(1,0,-20,1) Matrix(373,-476,134,-171) -> Matrix(49,-2,564,-23) Matrix(1529,-1972,818,-1055) -> Matrix(149,-6,2558,-103) Matrix(3161,-4080,712,-919) -> Matrix(97,-4,752,-31) Matrix(2209,-2856,816,-1055) -> Matrix(187,-8,2174,-93) Matrix(2311,-2992,526,-681) -> Matrix(1,0,-12,1) Matrix(1837,-2380,839,-1087) -> Matrix(63,-2,914,-29) Matrix(681,-884,104,-135) -> Matrix(49,-2,270,-11) Matrix(2245,-2924,939,-1223) -> Matrix(149,-6,1962,-79) Matrix(1461,-1904,653,-851) -> Matrix(95,-4,1354,-57) Matrix(781,-1020,183,-239) -> Matrix(49,-2,368,-15) Matrix(103,-136,25,-33) -> Matrix(1,0,-16,1) Matrix(101,-136,26,-35) -> Matrix(1,0,-16,1) Matrix(647,-884,273,-373) -> Matrix(45,-2,608,-27) Matrix(1291,-1768,249,-341) -> Matrix(93,-4,628,-27) Matrix(1837,-2516,744,-1019) -> Matrix(139,-6,1784,-77) Matrix(545,-748,247,-339) -> Matrix(43,-2,624,-29) Matrix(443,-612,270,-373) -> Matrix(49,-2,956,-39) Matrix(883,-1224,246,-341) -> Matrix(95,-4,784,-33) Matrix(1223,-1700,441,-613) -> Matrix(47,-2,494,-21) Matrix(781,-1088,318,-443) -> Matrix(93,-4,1186,-51) Matrix(1257,-1768,460,-647) -> Matrix(189,-8,2150,-91) Matrix(1495,-2108,917,-1293) -> Matrix(49,-2,956,-39) Matrix(577,-816,169,-239) -> Matrix(93,-4,814,-35) Matrix(239,-340,71,-101) -> Matrix(45,-2,428,-19) Matrix(3229,-4624,1449,-2075) -> Matrix(111,-4,1582,-57) Matrix(2041,-2924,1091,-1563) -> Matrix(149,-6,2558,-103) Matrix(3127,-4488,664,-953) -> Matrix(93,-4,814,-35) Matrix(3977,-5712,1208,-1735) -> Matrix(277,-12,2470,-107) Matrix(1087,-1564,237,-341) -> Matrix(45,-2,338,-15) Matrix(1463,-2108,778,-1121) -> Matrix(321,-14,5480,-239) Matrix(1597,-2312,306,-443) -> Matrix(359,-16,2356,-105) Matrix(2347,-3400,633,-917) -> Matrix(179,-8,1544,-69) Matrix(2755,-4012,583,-849) -> Matrix(133,-6,1042,-47) Matrix(5271,-7684,2215,-3229) -> Matrix(569,-26,7594,-347) Matrix(883,-1292,326,-477) -> Matrix(49,-2,564,-23) Matrix(443,-680,243,-373) -> Matrix(171,-8,3014,-141) Matrix(441,-680,155,-239) -> Matrix(169,-8,1838,-87) Matrix(307,-476,109,-169) -> Matrix(125,-6,1396,-67) Matrix(305,-476,66,-103) -> Matrix(41,-2,308,-15) Matrix(647,-1020,366,-577) -> Matrix(289,-14,5264,-255) Matrix(1291,-2040,474,-749) -> Matrix(575,-28,6592,-321) Matrix(1801,-2856,408,-647) -> Matrix(163,-8,1406,-69) Matrix(1157,-1836,685,-1087) -> Matrix(203,-10,3918,-193) Matrix(169,-272,64,-103) -> Matrix(81,-4,952,-47) Matrix(543,-884,293,-477) -> Matrix(277,-14,4808,-243) Matrix(1291,-2108,542,-885) -> Matrix(37,-2,500,-27) Matrix(1361,-2244,783,-1291) -> Matrix(513,-26,9530,-483) Matrix(781,-1292,350,-579) -> Matrix(431,-22,6132,-313) Matrix(645,-1088,182,-307) -> Matrix(77,-4,674,-35) Matrix(441,-748,181,-307) -> Matrix(267,-14,3452,-181) Matrix(239,-408,99,-169) -> Matrix(151,-8,1982,-105) Matrix(2889,-4964,614,-1055) -> Matrix(113,-6,1036,-55) Matrix(1701,-2924,395,-679) -> Matrix(113,-6,810,-43) Matrix(1225,-2108,197,-339) -> Matrix(413,-22,2234,-119) Matrix(5847,-10064,2450,-4217) -> Matrix(1951,-104,25832,-1377) Matrix(1223,-2108,474,-817) -> Matrix(37,-2,500,-27) Matrix(511,-884,137,-237) -> Matrix(37,-2,352,-19) Matrix(1529,-2652,177,-307) -> Matrix(411,-22,1588,-85) Matrix(2311,-4012,1254,-2177) -> Matrix(1155,-62,20138,-1081) Matrix(1055,-1836,566,-985) -> Matrix(705,-38,12152,-655) Matrix(271,-476,78,-137) -> Matrix(37,-2,278,-15) Matrix(307,-544,57,-101) -> Matrix(73,-4,420,-23) Matrix(305,-544,134,-239) -> Matrix(217,-12,3020,-167) Matrix(1053,-1904,245,-443) -> Matrix(71,-4,586,-33) Matrix(2177,-3944,600,-1087) -> Matrix(71,-4,728,-41) Matrix(5849,-10608,2624,-4759) -> Matrix(3265,-184,46544,-2623) Matrix(1087,-1972,113,-205) -> Matrix(603,-34,2146,-121) Matrix(2209,-4012,506,-919) -> Matrix(177,-10,1186,-67) Matrix(409,-748,111,-203) -> Matrix(35,-2,368,-21) Matrix(1293,-2380,295,-543) -> Matrix(35,-2,18,-1) Matrix(1461,-2720,311,-579) -> Matrix(69,-4,742,-43) Matrix(1155,-2176,181,-341) -> Matrix(273,-16,1348,-79) Matrix(35,-68,17,-33) -> Matrix(33,-2,512,-31) Matrix(509,-1088,80,-171) -> Matrix(179,-12,910,-61) Matrix(917,-1972,206,-443) -> Matrix(89,-6,638,-43) Matrix(851,-1836,362,-781) -> Matrix(561,-38,7544,-511) Matrix(407,-884,157,-341) -> Matrix(205,-14,2504,-171) Matrix(1121,-2448,234,-511) -> Matrix(175,-12,1298,-89) Matrix(307,-680,107,-237) -> Matrix(115,-8,1222,-85) Matrix(917,-2040,138,-307) -> Matrix(229,-16,1188,-83) Matrix(8297,-18496,3721,-8295) -> Matrix(4561,-320,64980,-4559) Matrix(2617,-5848,959,-2143) -> Matrix(567,-40,6478,-457) Matrix(511,-1156,225,-509) -> Matrix(365,-26,5096,-363) Matrix(443,-1020,162,-373) -> Matrix(193,-14,2192,-159) Matrix(1733,-4080,477,-1123) -> Matrix(161,-12,1382,-103) Matrix(2277,-5372,476,-1123) -> Matrix(187,-14,1456,-109) Matrix(749,-1768,86,-203) -> Matrix(267,-20,1028,-77) Matrix(1801,-4284,272,-647) -> Matrix(241,-18,1272,-95) Matrix(2685,-6392,1043,-2483) -> Matrix(213,-16,2596,-195) Matrix(7753,-18496,3249,-7751) -> Matrix(2545,-192,33708,-2543) Matrix(1733,-4148,526,-1259) -> Matrix(131,-10,1166,-89) Matrix(749,-1836,277,-679) -> Matrix(127,-10,1486,-117) Matrix(1903,-4692,552,-1361) -> Matrix(77,-6,706,-55) Matrix(239,-612,66,-169) -> Matrix(25,-2,188,-15) Matrix(3299,-8500,699,-1801) -> Matrix(71,-6,580,-49) Matrix(2823,-7276,646,-1665) -> Matrix(23,-2,150,-13) Matrix(815,-2108,237,-613) -> Matrix(25,-2,188,-15) Matrix(443,-1156,169,-441) -> Matrix(217,-18,2592,-215) Matrix(101,-272,13,-35) -> Matrix(47,-4,200,-17) Matrix(1701,-4624,625,-1699) -> Matrix(737,-64,8464,-735) Matrix(4931,-13464,1332,-3637) -> Matrix(91,-8,876,-77) Matrix(443,-1224,135,-373) -> Matrix(1,0,-2,1) Matrix(239,-748,54,-169) -> Matrix(19,-2,162,-17) Matrix(407,-1292,86,-273) -> Matrix(21,-2,158,-15) Matrix(169,-544,32,-103) -> Matrix(39,-4,244,-25) Matrix(271,-884,42,-137) -> Matrix(19,-2,86,-9) Matrix(3163,-10404,961,-3161) -> Matrix(199,-22,1782,-197) Matrix(103,-340,10,-33) -> Matrix(17,-2,60,-7) Matrix(8873,-30600,2396,-8263) -> Matrix(73,-8,648,-71) Matrix(2719,-9384,749,-2585) -> Matrix(35,-4,324,-37) Matrix(1667,-5916,450,-1597) -> Matrix(19,-2,162,-17) Matrix(305,-1088,67,-239) -> Matrix(35,-4,254,-29) Matrix(1293,-4624,361,-1291) -> Matrix(137,-16,1156,-135) Matrix(205,-748,37,-135) -> Matrix(15,-2,98,-13) Matrix(37775,-139876,10201,-37773) -> Matrix(271,-30,2430,-269) Matrix(307,-1156,81,-305) -> Matrix(17,-2,128,-15) Matrix(4217,-18496,961,-4215) -> Matrix(1,0,28,1) Matrix(2347,-10404,529,-2345) -> Matrix(81,-10,640,-79) Matrix(137,-612,15,-67) -> Matrix(17,-2,60,-7) Matrix(3945,-18496,841,-3943) -> Matrix(1,0,24,1) Matrix(271,-1292,43,-205) -> Matrix(13,-2,72,-11) Matrix(239,-1156,49,-237) -> Matrix(43,-6,294,-41) Matrix(885,-4624,169,-883) -> Matrix(209,-32,1352,-207) Matrix(171,-1156,25,-169) -> Matrix(71,-14,350,-69) 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 0/1 32 1 2/1 1/16 2 17 17/8 1/15 15 2 15/7 7/104 1 34 28/13 (5/74,4/59) 0 17 13/6 3/44 1 34 24/11 (5/73,2/29) 0 17 35/16 29/422 1 34 11/5 9/130 1 34 31/14 5/72 1 34 20/9 (3/43,4/57) 0 17 49/22 7/100 1 34 78/35 23/328 2 17 136/61 4/57 20 1 29/13 17/242 1 34 38/17 1/14 2 17 9/4 1/14 1 34 34/15 1/14 26 1 16/7 (1/14,6/83) 0 17 23/10 11/152 1 34 7/3 5/68 1 34 47/20 11/148 1 34 40/17 (2/27,7/94) 0 17 33/14 23/308 1 34 59/25 3/40 1 34 26/11 3/40 2 17 19/8 3/40 1 34 31/13 11/146 1 34 136/57 4/53 12 1 74/31 13/172 2 17 43/18 5/66 1 34 55/23 5/66 1 34 12/5 (4/53,1/13) 0 17 17/7 1/13 11 2 22/9 7/90 2 17 27/11 5/64 1 34 5/2 3/38 1 34 18/7 1/12 2 17 85/33 1/12 13 2 67/26 7/82 1 34 49/19 1/12 1 34 31/12 5/62 1 34 44/17 (3/37,4/49) 0 17 13/5 1/12 1 34 34/13 1/12 18 1 8/3 (1/12,2/23) 0 17 27/10 5/58 1 34 46/17 11/128 2 17 19/7 9/104 1 34 68/25 2/23 16 1 30/11 7/80 2 17 41/15 13/148 1 34 11/4 5/56 1 34 14/5 3/34 2 17 17/6 1/11 7 2 20/7 (1/11,4/43) 0 17 3/1 1/10 1 34 19/6 1/12 1 34 16/5 (1/10,2/19) 0 17 13/4 3/28 1 34 36/11 (0/1,1/9) 0 17 23/7 5/46 1 34 102/31 1/9 22 1 56/17 (1/9,6/53) 0 17 33/10 7/60 1 34 10/3 1/10 2 17 17/5 1/9 3 2 24/7 (1/9,2/17) 0 17 31/9 1/10 1 34 69/20 11/98 1 34 38/11 3/26 2 17 7/2 1/10 1 34 39/11 1/8 1 34 32/9 (1/9,2/17) 0 17 25/7 3/26 1 34 68/19 2/17 4 1 18/5 1/8 2 17 29/8 1/6 1 34 98/27 1/10 2 17 69/19 7/62 1 34 40/11 (2/17,1/8) 0 17 11/3 1/6 1 34 37/10 1/8 1 34 137/37 11/100 1 34 374/101 1/9 30 1 100/27 (1/9,4/35) 0 17 63/17 3/26 1 34 26/7 1/8 2 17 15/4 1/8 1 34 34/9 1/8 2 1 4/1 (0/1,1/8) 0 17 17/4 1/8 1 2 30/7 1/8 2 17 43/10 1/8 1 34 13/3 1/8 1 34 35/8 3/16 1 34 57/13 -1/4 1 34 136/31 0/1 28 1 22/5 1/10 2 17 53/12 5/42 1 34 31/7 1/8 1 34 102/23 1/8 10 1 40/9 (1/8,2/15) 0 17 49/11 1/6 1 34 9/2 1/8 1 34 32/7 (2/15,1/7) 0 17 23/5 3/20 1 34 14/3 1/6 2 17 136/29 0/1 24 1 61/13 1/18 1 34 47/10 1/10 1 34 80/17 (2/19,1/9) 0 17 33/7 5/42 1 34 85/18 1/8 13 2 52/11 (1/8,4/31) 0 17 19/4 3/22 1 34 43/9 1/8 1 34 67/14 11/84 1 34 24/5 (2/15,1/7) 0 17 34/7 1/7 6 1 5/1 1/6 1 34 26/5 3/20 2 17 68/13 2/13 8 1 21/4 5/32 1 34 16/3 (2/13,1/6) 0 17 11/2 3/20 1 34 28/5 (4/25,1/6) 0 17 17/3 1/6 5 2 6/1 1/6 2 17 25/4 3/16 1 34 19/3 5/26 1 34 51/8 1/5 15 2 32/5 (1/5,2/9) 0 17 13/2 1/6 1 34 33/5 13/70 1 34 53/8 3/16 1 34 20/3 (4/21,1/5) 0 17 34/5 1/5 14 1 7/1 3/14 1 34 8/1 (2/9,1/4) 0 17 17/2 1/4 9 2 26/3 1/4 2 17 9/1 1/4 1 34 19/2 5/18 1 34 10/1 3/10 2 17 1/0 1/0 1 34 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(1,0,1,-1) (0/1,2/1) -> (0/1,2/1) Reflection Matrix(33,-68,16,-33) (2/1,17/8) -> (2/1,17/8) Reflection Matrix(509,-1088,80,-171) (17/8,15/7) -> (19/3,51/8) Hyperbolic Matrix(917,-1972,206,-443) (15/7,28/13) -> (40/9,49/11) Hyperbolic Matrix(851,-1836,362,-781) (28/13,13/6) -> (47/20,40/17) Hyperbolic Matrix(407,-884,157,-341) (13/6,24/11) -> (44/17,13/5) Hyperbolic Matrix(1121,-2448,234,-511) (24/11,35/16) -> (67/14,24/5) Hyperbolic Matrix(1087,-2380,248,-543) (35/16,11/5) -> (35/8,57/13) Glide Reflection Matrix(339,-748,92,-203) (11/5,31/14) -> (11/3,37/10) Glide Reflection Matrix(307,-680,107,-237) (31/14,20/9) -> (20/7,3/1) Hyperbolic Matrix(917,-2040,138,-307) (20/9,49/22) -> (53/8,20/3) Hyperbolic Matrix(885,-1972,92,-205) (49/22,78/35) -> (19/2,10/1) Glide Reflection Matrix(4759,-10608,2135,-4759) (78/35,136/61) -> (78/35,136/61) Reflection Matrix(3537,-7888,1586,-3537) (136/61,29/13) -> (136/61,29/13) Reflection Matrix(1767,-3944,487,-1087) (29/13,38/17) -> (29/8,98/27) Glide Reflection Matrix(851,-1904,198,-443) (38/17,9/4) -> (30/7,43/10) Glide Reflection Matrix(271,-612,120,-271) (9/4,34/15) -> (9/4,34/15) Reflection Matrix(239,-544,105,-239) (34/15,16/7) -> (34/15,16/7) Reflection Matrix(237,-544,44,-101) (16/7,23/10) -> (16/3,11/2) Glide Reflection Matrix(443,-1020,162,-373) (23/10,7/3) -> (41/15,11/4) Hyperbolic Matrix(1361,-3196,290,-681) (7/3,47/20) -> (61/13,47/10) Glide Reflection Matrix(1733,-4080,477,-1123) (40/17,33/14) -> (69/19,40/11) Hyperbolic Matrix(2277,-5372,476,-1123) (33/14,59/25) -> (43/9,67/14) Hyperbolic Matrix(749,-1768,86,-203) (59/25,26/11) -> (26/3,9/1) Hyperbolic Matrix(373,-884,100,-237) (26/11,19/8) -> (26/7,15/4) Glide Reflection Matrix(885,-2108,343,-817) (19/8,31/13) -> (49/19,31/12) Glide Reflection Matrix(3535,-8432,1482,-3535) (31/13,136/57) -> (31/13,136/57) Reflection Matrix(4217,-10064,1767,-4217) (136/57,74/31) -> (136/57,74/31) Reflection Matrix(883,-2108,142,-339) (74/31,43/18) -> (6/1,25/4) Glide Reflection Matrix(1223,-2924,284,-679) (43/18,55/23) -> (43/10,13/3) Glide Reflection Matrix(2075,-4964,441,-1055) (55/23,12/5) -> (47/10,80/17) Glide Reflection Matrix(169,-408,70,-169) (12/5,17/7) -> (12/5,17/7) Reflection Matrix(307,-748,126,-307) (17/7,22/9) -> (17/7,22/9) Reflection Matrix(749,-1836,277,-679) (22/9,27/11) -> (27/10,46/17) Hyperbolic Matrix(443,-1088,125,-307) (27/11,5/2) -> (7/2,39/11) Glide Reflection Matrix(239,-612,66,-169) (5/2,18/7) -> (18/5,29/8) Hyperbolic Matrix(1189,-3060,462,-1189) (18/7,85/33) -> (18/7,85/33) Reflection Matrix(3299,-8500,699,-1801) (85/33,67/26) -> (33/7,85/18) Hyperbolic Matrix(2005,-5168,303,-781) (67/26,49/19) -> (33/5,53/8) Glide Reflection Matrix(815,-2108,237,-613) (31/12,44/17) -> (24/7,31/9) Hyperbolic Matrix(339,-884,130,-339) (13/5,34/13) -> (13/5,34/13) Reflection Matrix(103,-272,39,-103) (34/13,8/3) -> (34/13,8/3) Reflection Matrix(101,-272,13,-35) (8/3,27/10) -> (7/1,8/1) Hyperbolic Matrix(1055,-2856,239,-647) (46/17,19/7) -> (22/5,53/12) Glide Reflection Matrix(951,-2584,350,-951) (19/7,68/25) -> (19/7,68/25) Reflection Matrix(749,-2040,275,-749) (68/25,30/11) -> (68/25,30/11) Reflection Matrix(647,-1768,187,-511) (30/11,41/15) -> (38/11,7/2) Glide Reflection Matrix(171,-476,37,-103) (11/4,14/5) -> (23/5,14/3) Glide Reflection Matrix(169,-476,60,-169) (14/5,17/6) -> (14/5,17/6) Reflection Matrix(239,-680,84,-239) (17/6,20/7) -> (17/6,20/7) Reflection Matrix(239,-748,54,-169) (3/1,19/6) -> (53/12,31/7) Hyperbolic Matrix(407,-1292,86,-273) (19/6,16/5) -> (52/11,19/4) Hyperbolic Matrix(169,-544,32,-103) (16/5,13/4) -> (21/4,16/3) Hyperbolic Matrix(271,-884,42,-137) (13/4,36/11) -> (32/5,13/2) Hyperbolic Matrix(477,-1564,104,-341) (36/11,23/7) -> (32/7,23/5) Glide Reflection Matrix(1427,-4692,434,-1427) (23/7,102/31) -> (23/7,102/31) Reflection Matrix(1735,-5712,527,-1735) (102/31,56/17) -> (102/31,56/17) Reflection Matrix(1361,-4488,289,-953) (56/17,33/10) -> (80/17,33/7) Glide Reflection Matrix(103,-340,10,-33) (33/10,10/3) -> (10/1,1/0) Hyperbolic Matrix(101,-340,30,-101) (10/3,17/5) -> (10/3,17/5) Reflection Matrix(239,-816,70,-239) (17/5,24/7) -> (17/5,24/7) Reflection Matrix(1973,-6800,533,-1837) (31/9,69/20) -> (37/10,137/37) Glide Reflection Matrix(2719,-9384,749,-2585) (69/20,38/11) -> (98/27,69/19) Hyperbolic Matrix(1667,-5916,450,-1597) (39/11,32/9) -> (100/27,63/17) Hyperbolic Matrix(305,-1088,67,-239) (32/9,25/7) -> (9/2,32/7) Hyperbolic Matrix(951,-3400,266,-951) (25/7,68/19) -> (25/7,68/19) Reflection Matrix(341,-1224,95,-341) (68/19,18/5) -> (68/19,18/5) Reflection Matrix(205,-748,37,-135) (40/11,11/3) -> (11/2,28/5) Hyperbolic Matrix(27675,-102476,7474,-27675) (137/37,374/101) -> (137/37,374/101) Reflection Matrix(10099,-37400,2727,-10099) (374/101,100/27) -> (374/101,100/27) Reflection Matrix(477,-1768,92,-341) (63/17,26/7) -> (5/1,26/5) Glide Reflection Matrix(271,-1020,72,-271) (15/4,34/9) -> (15/4,34/9) Reflection Matrix(35,-136,9,-35) (34/9,4/1) -> (34/9,4/1) Reflection Matrix(33,-136,8,-33) (4/1,17/4) -> (4/1,17/4) Reflection Matrix(239,-1020,56,-239) (17/4,30/7) -> (17/4,30/7) Reflection Matrix(203,-884,31,-135) (13/3,35/8) -> (13/2,33/5) Glide Reflection Matrix(3535,-15504,806,-3535) (57/13,136/31) -> (57/13,136/31) Reflection Matrix(681,-2992,155,-681) (136/31,22/5) -> (136/31,22/5) Reflection Matrix(1427,-6324,322,-1427) (31/7,102/23) -> (31/7,102/23) Reflection Matrix(919,-4080,207,-919) (102/23,40/9) -> (102/23,40/9) Reflection Matrix(137,-612,15,-67) (49/11,9/2) -> (9/1,19/2) Hyperbolic Matrix(407,-1904,87,-407) (14/3,136/29) -> (14/3,136/29) Reflection Matrix(3537,-16592,754,-3537) (136/29,61/13) -> (136/29,61/13) Reflection Matrix(1871,-8840,396,-1871) (85/18,52/11) -> (85/18,52/11) Reflection Matrix(271,-1292,43,-205) (19/4,43/9) -> (25/4,19/3) Hyperbolic Matrix(169,-816,35,-169) (24/5,34/7) -> (24/5,34/7) Reflection Matrix(69,-340,14,-69) (34/7,5/1) -> (34/7,5/1) Reflection Matrix(339,-1768,65,-339) (26/5,68/13) -> (26/5,68/13) Reflection Matrix(545,-2856,104,-545) (68/13,21/4) -> (68/13,21/4) Reflection Matrix(169,-952,30,-169) (28/5,17/3) -> (28/5,17/3) Reflection Matrix(35,-204,6,-35) (17/3,6/1) -> (17/3,6/1) Reflection Matrix(511,-3264,80,-511) (51/8,32/5) -> (51/8,32/5) Reflection Matrix(101,-680,15,-101) (20/3,34/5) -> (20/3,34/5) Reflection Matrix(69,-476,10,-69) (34/5,7/1) -> (34/5,7/1) Reflection Matrix(33,-272,4,-33) (8/1,17/2) -> (8/1,17/2) Reflection Matrix(103,-884,12,-103) (17/2,26/3) -> (17/2,26/3) 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(1,0,1,-1) -> Matrix(1,0,32,-1) (0/1,2/1) -> (0/1,1/16) Matrix(33,-68,16,-33) -> Matrix(31,-2,480,-31) (2/1,17/8) -> (1/16,1/15) Matrix(509,-1088,80,-171) -> Matrix(179,-12,910,-61) Matrix(917,-1972,206,-443) -> Matrix(89,-6,638,-43) Matrix(851,-1836,362,-781) -> Matrix(561,-38,7544,-511) Matrix(407,-884,157,-341) -> Matrix(205,-14,2504,-171) Matrix(1121,-2448,234,-511) -> Matrix(175,-12,1298,-89) Matrix(1087,-2380,248,-543) -> Matrix(29,-2,14,-1) Matrix(339,-748,92,-203) -> Matrix(29,-2,304,-21) Matrix(307,-680,107,-237) -> Matrix(115,-8,1222,-85) Matrix(917,-2040,138,-307) -> Matrix(229,-16,1188,-83) Matrix(885,-1972,92,-205) -> Matrix(485,-34,1726,-121) Matrix(4759,-10608,2135,-4759) -> Matrix(2623,-184,37392,-2623) (78/35,136/61) -> (23/328,4/57) Matrix(3537,-7888,1586,-3537) -> Matrix(1937,-136,27588,-1937) (136/61,29/13) -> (4/57,17/242) Matrix(1767,-3944,487,-1087) -> Matrix(57,-4,584,-41) Matrix(851,-1904,198,-443) -> Matrix(57,-4,470,-33) Matrix(271,-612,120,-271) -> Matrix(197,-14,2772,-197) (9/4,34/15) -> (7/99,1/14) Matrix(239,-544,105,-239) -> Matrix(167,-12,2324,-167) (34/15,16/7) -> (1/14,6/83) Matrix(237,-544,44,-101) -> Matrix(55,-4,316,-23) Matrix(443,-1020,162,-373) -> Matrix(193,-14,2192,-159) Matrix(1361,-3196,290,-681) -> Matrix(27,-2,418,-31) Matrix(1733,-4080,477,-1123) -> Matrix(161,-12,1382,-103) Matrix(2277,-5372,476,-1123) -> Matrix(187,-14,1456,-109) Matrix(749,-1768,86,-203) -> Matrix(267,-20,1028,-77) Matrix(373,-884,100,-237) -> Matrix(27,-2,256,-19) Matrix(885,-2108,343,-817) -> Matrix(27,-2,364,-27) *** -> (1/14,1/13) Matrix(3535,-8432,1482,-3535) -> Matrix(1167,-88,15476,-1167) (31/13,136/57) -> (11/146,4/53) Matrix(4217,-10064,1767,-4217) -> Matrix(1377,-104,18232,-1377) (136/57,74/31) -> (4/53,13/172) Matrix(883,-2108,142,-339) -> Matrix(291,-22,1574,-119) Matrix(1223,-2924,284,-679) -> Matrix(79,-6,566,-43) Matrix(2075,-4964,441,-1055) -> Matrix(79,-6,724,-55) Matrix(169,-408,70,-169) -> Matrix(105,-8,1378,-105) (12/5,17/7) -> (4/53,1/13) Matrix(307,-748,126,-307) -> Matrix(181,-14,2340,-181) (17/7,22/9) -> (1/13,7/90) Matrix(749,-1836,277,-679) -> Matrix(127,-10,1486,-117) Matrix(443,-1088,125,-307) -> Matrix(51,-4,446,-35) Matrix(239,-612,66,-169) -> Matrix(25,-2,188,-15) Matrix(1189,-3060,462,-1189) -> Matrix(73,-6,888,-73) (18/7,85/33) -> (3/37,1/12) Matrix(3299,-8500,699,-1801) -> Matrix(71,-6,580,-49) Matrix(2005,-5168,303,-781) -> Matrix(45,-4,236,-21) Matrix(815,-2108,237,-613) -> Matrix(25,-2,188,-15) Matrix(339,-884,130,-339) -> Matrix(169,-14,2040,-169) (13/5,34/13) -> (7/85,1/12) Matrix(103,-272,39,-103) -> Matrix(47,-4,552,-47) (34/13,8/3) -> (1/12,2/23) Matrix(101,-272,13,-35) -> Matrix(47,-4,200,-17) Matrix(1055,-2856,239,-647) -> Matrix(93,-8,802,-69) Matrix(951,-2584,350,-951) -> Matrix(415,-36,4784,-415) (19/7,68/25) -> (9/104,2/23) Matrix(749,-2040,275,-749) -> Matrix(321,-28,3680,-321) (68/25,30/11) -> (2/23,7/80) Matrix(647,-1768,187,-511) -> Matrix(91,-8,762,-67) Matrix(171,-476,37,-103) -> Matrix(23,-2,172,-15) Matrix(169,-476,60,-169) -> Matrix(67,-6,748,-67) (14/5,17/6) -> (3/34,1/11) Matrix(239,-680,84,-239) -> Matrix(87,-8,946,-87) (17/6,20/7) -> (1/11,4/43) Matrix(239,-748,54,-169) -> Matrix(19,-2,162,-17) 1/9 Matrix(407,-1292,86,-273) -> Matrix(21,-2,158,-15) Matrix(169,-544,32,-103) -> Matrix(39,-4,244,-25) Matrix(271,-884,42,-137) -> Matrix(19,-2,86,-9) Matrix(477,-1564,104,-341) -> Matrix(19,-2,142,-15) Matrix(1427,-4692,434,-1427) -> Matrix(91,-10,828,-91) (23/7,102/31) -> (5/46,1/9) Matrix(1735,-5712,527,-1735) -> Matrix(107,-12,954,-107) (102/31,56/17) -> (1/9,6/53) Matrix(1361,-4488,289,-953) -> Matrix(35,-4,306,-35) *** -> (1/9,2/17) Matrix(103,-340,10,-33) -> Matrix(17,-2,60,-7) Matrix(101,-340,30,-101) -> Matrix(19,-2,180,-19) (10/3,17/5) -> (1/10,1/9) Matrix(239,-816,70,-239) -> Matrix(35,-4,306,-35) (17/5,24/7) -> (1/9,2/17) Matrix(1973,-6800,533,-1837) -> Matrix(1,0,18,-1) *** -> (0/1,1/9) Matrix(2719,-9384,749,-2585) -> Matrix(35,-4,324,-37) 1/9 Matrix(1667,-5916,450,-1597) -> Matrix(19,-2,162,-17) 1/9 Matrix(305,-1088,67,-239) -> Matrix(35,-4,254,-29) Matrix(951,-3400,266,-951) -> Matrix(103,-12,884,-103) (25/7,68/19) -> (3/26,2/17) Matrix(341,-1224,95,-341) -> Matrix(33,-4,272,-33) (68/19,18/5) -> (2/17,1/8) Matrix(205,-748,37,-135) -> Matrix(15,-2,98,-13) 1/7 Matrix(27675,-102476,7474,-27675) -> Matrix(199,-22,1800,-199) (137/37,374/101) -> (11/100,1/9) Matrix(10099,-37400,2727,-10099) -> Matrix(71,-8,630,-71) (374/101,100/27) -> (1/9,4/35) Matrix(477,-1768,92,-341) -> Matrix(35,-4,236,-27) Matrix(271,-1020,72,-271) -> Matrix(17,-2,144,-17) (15/4,34/9) -> (1/9,1/8) Matrix(35,-136,9,-35) -> Matrix(1,0,16,-1) (34/9,4/1) -> (0/1,1/8) Matrix(33,-136,8,-33) -> Matrix(1,0,16,-1) (4/1,17/4) -> (0/1,1/8) Matrix(239,-1020,56,-239) -> Matrix(15,-2,112,-15) (17/4,30/7) -> (1/8,1/7) Matrix(203,-884,31,-135) -> Matrix(15,-2,82,-11) Matrix(3535,-15504,806,-3535) -> Matrix(-1,0,8,1) (57/13,136/31) -> (-1/4,0/1) Matrix(681,-2992,155,-681) -> Matrix(1,0,20,-1) (136/31,22/5) -> (0/1,1/10) Matrix(1427,-6324,322,-1427) -> Matrix(49,-6,400,-49) (31/7,102/23) -> (3/25,1/8) Matrix(919,-4080,207,-919) -> Matrix(31,-4,240,-31) (102/23,40/9) -> (1/8,2/15) Matrix(137,-612,15,-67) -> Matrix(17,-2,60,-7) Matrix(407,-1904,87,-407) -> Matrix(1,0,12,-1) (14/3,136/29) -> (0/1,1/6) Matrix(3537,-16592,754,-3537) -> Matrix(1,0,36,-1) (136/29,61/13) -> (0/1,1/18) Matrix(1871,-8840,396,-1871) -> Matrix(63,-8,496,-63) (85/18,52/11) -> (1/8,4/31) Matrix(271,-1292,43,-205) -> Matrix(13,-2,72,-11) 1/6 Matrix(169,-816,35,-169) -> Matrix(29,-4,210,-29) (24/5,34/7) -> (2/15,1/7) Matrix(69,-340,14,-69) -> Matrix(13,-2,84,-13) (34/7,5/1) -> (1/7,1/6) Matrix(339,-1768,65,-339) -> Matrix(79,-12,520,-79) (26/5,68/13) -> (3/20,2/13) Matrix(545,-2856,104,-545) -> Matrix(129,-20,832,-129) (68/13,21/4) -> (2/13,5/32) Matrix(169,-952,30,-169) -> Matrix(49,-8,300,-49) (28/5,17/3) -> (4/25,1/6) Matrix(35,-204,6,-35) -> Matrix(11,-2,60,-11) (17/3,6/1) -> (1/6,1/5) Matrix(511,-3264,80,-511) -> Matrix(19,-4,90,-19) (51/8,32/5) -> (1/5,2/9) Matrix(101,-680,15,-101) -> Matrix(41,-8,210,-41) (20/3,34/5) -> (4/21,1/5) Matrix(69,-476,10,-69) -> Matrix(29,-6,140,-29) (34/5,7/1) -> (1/5,3/14) Matrix(33,-272,4,-33) -> Matrix(17,-4,72,-17) (8/1,17/2) -> (2/9,1/4) Matrix(103,-884,12,-103) -> Matrix(55,-14,216,-55) (17/2,26/3) -> (1/4,7/27) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.