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): 2160 Minimal number of generators: 361 Number of equivalence classes of cusps: 72 Genus: 145 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -17/38 -33/76 -63/152 -31/76 -15/38 -29/76 -153/418 -41/114 -27/76 -20/57 -23/76 -11/38 -21/76 -41/152 -9/38 -25/114 -5/26 -7/38 -5/32 -3/22 -5/38 -1/9 -3/28 -2/19 -1/10 0/1 1/8 2/15 1/7 3/20 2/13 3/19 1/6 3/17 2/11 3/16 1/5 5/24 4/19 3/14 2/9 3/13 7/30 4/17 1/4 5/19 9/34 3/11 5/18 2/7 11/36 6/19 1/3 7/19 2/5 5/12 8/19 7/15 9/19 1/2 10/19 11/19 12/19 37/57 2/3 13/19 14/19 15/19 16/19 17/19 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/2 -7/8 2/3 -13/15 1/2 -6/7 1/2 -17/20 0/1 -28/33 7/10 -11/13 3/4 -16/19 1/1 -5/6 1/1 -24/29 3/4 -19/23 1/2 -14/17 1/0 -23/28 0/1 -9/11 3/4 -13/16 2/1 -17/21 -1/2 -4/5 1/2 -23/29 1/0 -19/24 2/3 -15/19 1/1 -11/14 1/1 -29/37 1/0 -18/23 1/2 -25/32 2/1 -32/41 1/0 -7/9 -1/2 -24/31 1/2 -41/53 1/2 -17/22 1/3 -27/35 1/2 -37/48 2/3 -10/13 1/2 -33/43 1/4 -23/30 1/1 -13/17 1/2 -3/4 0/1 -14/19 1/2 -25/34 1/1 -36/49 1/0 -11/15 1/2 -30/41 1/2 -19/26 1/1 -46/63 1/4 -27/37 1/2 -8/11 1/0 -29/40 -2/3 -50/69 -1/4 -21/29 -1/8 -13/18 1/5 -5/7 1/2 -17/24 2/3 -29/41 1/2 -12/17 3/4 -31/44 0/1 -19/27 1/4 -45/64 2/5 -26/37 1/2 -7/10 1/1 -23/33 1/8 -39/56 2/9 -16/23 1/4 -25/36 4/11 -9/13 1/2 -11/16 2/5 -13/19 1/2 -2/3 1/2 -15/23 1/2 -13/20 0/1 -11/17 1/2 -20/31 9/14 -9/14 1/1 -25/39 1/2 -41/64 2/5 -16/25 1/2 -23/36 8/13 -7/11 1/2 -26/41 1/2 -45/71 5/8 -19/30 1/1 -12/19 1/2 -5/8 2/3 -23/37 1/2 -18/29 5/8 -31/50 3/5 -13/21 9/14 -21/34 9/13 -8/13 3/4 -27/44 0/1 -46/75 1/2 -19/31 1/2 -11/18 5/7 -36/59 5/6 -25/41 3/4 -14/23 3/4 -17/28 4/5 -3/5 1/2 -16/27 9/14 -13/22 5/7 -36/61 3/4 -23/39 3/4 -10/17 3/4 -27/46 1/1 -44/75 3/4 -17/29 5/6 -41/70 1/1 -24/41 3/4 -7/12 4/5 -11/19 1/1 -15/26 1/1 -19/33 3/2 -42/73 1/0 -65/113 1/0 -23/40 -2/1 -4/7 1/2 -21/37 1/2 -17/30 3/5 -13/23 7/10 -22/39 3/4 -31/55 11/14 -9/16 2/3 -14/25 3/4 -19/34 9/11 -43/77 5/6 -24/43 5/6 -5/9 7/8 -11/20 4/3 -17/31 3/2 -40/73 1/0 -63/115 1/0 -23/42 1/1 -6/11 1/2 -13/24 2/3 -20/37 1/2 -7/13 3/4 -15/28 4/5 -8/15 3/4 -9/17 9/10 -10/19 1/1 -1/2 1/1 -9/19 1/1 -8/17 9/8 -7/15 3/2 -6/13 3/2 -17/37 1/0 -28/61 1/0 -11/24 2/1 -5/11 1/0 -19/42 1/1 -33/73 1/2 -14/31 3/4 -9/20 4/5 -13/29 15/16 -17/38 1/1 -4/9 7/6 -11/25 3/2 -7/16 2/1 -17/39 3/2 -10/23 7/4 -33/76 2/1 -23/53 13/6 -13/30 3/1 -16/37 1/0 -3/7 1/0 -17/40 2/5 -14/33 3/4 -25/59 5/8 -11/26 1/1 -8/19 1/1 -5/12 4/3 -22/53 3/2 -17/41 3/2 -63/152 2/1 -46/111 1/0 -29/70 1/1 -12/29 5/4 -31/75 3/2 -19/46 1/1 -7/17 3/2 -23/56 10/7 -39/95 3/2 -16/39 3/2 -41/100 8/5 -25/61 3/2 -9/22 5/3 -20/49 19/10 -31/76 2/1 -11/27 9/4 -13/32 2/1 -2/5 1/0 -15/38 1/1 -13/33 7/6 -11/28 4/3 -20/51 3/2 -9/23 3/2 -25/64 2/1 -16/41 3/2 -7/18 5/3 -5/13 3/2 -18/47 17/10 -31/81 7/4 -44/115 7/4 -57/149 7/4 -13/34 9/5 -21/55 27/14 -29/76 2/1 -8/21 9/4 -19/50 3/1 -30/79 1/0 -11/29 5/2 -3/8 2/1 -7/19 1/0 -11/30 1/1 -26/71 5/2 -41/112 6/1 -97/265 1/0 -153/418 1/0 -56/153 1/0 -15/41 1/0 -19/52 0/1 -4/11 1/0 -13/36 8/3 -9/25 1/0 -41/114 1/0 -32/89 1/0 -23/64 -2/1 -14/39 1/0 -5/14 1/1 -16/45 11/6 -27/76 2/1 -11/31 9/4 -17/48 2/1 -6/17 1/0 -13/37 1/0 -20/57 1/0 -7/20 0/1 -1/3 1/0 -7/22 3/1 -6/19 1/0 -5/16 -2/1 -4/13 1/0 -11/36 -4/3 -29/95 -1/1 -18/59 -3/4 -7/23 -1/2 -17/56 -2/5 -10/33 -1/6 -23/76 0/1 -13/43 1/8 -3/10 1/1 -17/57 1/0 -14/47 -1/2 -11/37 1/0 -19/64 -2/1 -27/91 1/0 -8/27 -1/2 -21/71 1/2 -34/115 1/2 -13/44 0/1 -18/61 3/4 -5/17 3/2 -22/75 1/0 -39/133 1/0 -17/58 -1/1 -12/41 1/0 -19/65 1/0 -7/24 2/1 -9/31 1/0 -11/38 1/0 -2/7 1/0 -11/39 1/0 -20/71 1/0 -9/32 -2/1 -16/57 -1/1 -7/25 -1/2 -5/18 -1/3 -13/47 -1/16 -21/76 0/1 -8/29 1/10 -11/40 2/7 -3/11 1/2 -13/48 2/1 -23/85 1/2 -10/37 1/0 -17/63 -1/2 -41/152 0/1 -24/89 1/4 -7/26 1/1 -18/67 3/2 -11/41 1/0 -15/56 -2/1 -4/15 1/0 -17/64 2/1 -13/49 1/2 -9/34 1/1 -5/19 1/0 -1/4 0/1 -5/21 1/2 -9/38 1/1 -4/17 1/0 -7/30 1/1 -10/43 -1/2 -3/13 1/0 -11/48 2/1 -19/83 5/2 -8/35 1/0 -13/57 1/0 -5/22 -1/1 -7/31 1/0 -9/40 -2/5 -2/9 1/4 -9/41 1/2 -25/114 1/2 -16/73 1/2 -7/32 2/3 -12/55 5/6 -5/23 1/0 -8/37 1/2 -3/14 1/1 -4/19 1/1 -5/24 2/1 -11/53 1/0 -6/29 1/2 -1/5 1/0 -5/26 1/1 -4/21 1/4 -11/58 3/7 -18/95 1/2 -7/37 1/2 -3/16 2/3 -5/27 7/8 -7/38 1/1 -2/11 3/2 -7/39 1/0 -12/67 3/2 -17/95 1/0 -5/28 0/1 -13/73 1/0 -8/45 -1/2 -3/17 1/2 -10/57 1/1 -7/40 6/5 -4/23 1/0 -9/52 0/1 -5/29 3/2 -1/6 1/1 -3/19 1/1 -5/32 6/5 -2/13 3/2 -5/33 7/4 -3/20 0/1 -1/7 1/0 -3/22 1/1 -2/15 1/0 -5/38 1/1 -3/23 3/2 -1/8 2/1 -1/9 5/2 -3/28 4/1 -2/19 1/0 -1/10 1/1 0/1 1/0 1/8 -2/1 2/15 1/0 1/7 1/0 3/20 0/1 5/33 -7/4 2/13 -3/2 3/19 -1/1 1/6 -1/1 5/29 -3/2 4/23 1/0 3/17 -1/2 5/28 0/1 2/11 -3/2 3/16 -2/3 4/21 -1/4 1/5 1/0 6/29 -1/2 5/24 -2/1 4/19 -1/1 3/14 -1/1 8/37 -1/2 5/23 1/0 7/32 -2/3 9/41 -1/2 2/9 -1/4 7/31 1/0 12/53 1/0 5/22 1/1 8/35 1/0 11/48 -2/1 3/13 1/0 10/43 1/2 7/30 -1/1 4/17 1/0 1/4 0/1 5/19 1/0 9/34 -1/1 13/49 -1/2 4/15 1/0 11/41 1/0 7/26 -1/1 17/63 1/2 10/37 1/0 3/11 -1/2 11/40 -2/7 19/69 -1/6 8/29 -1/10 5/18 1/3 2/7 1/0 7/24 -2/1 12/41 1/0 5/17 -3/2 13/44 0/1 8/27 1/2 19/64 2/1 11/37 1/0 3/10 -1/1 10/33 1/6 17/56 2/5 7/23 1/2 11/36 4/3 4/13 1/0 5/16 2/1 6/19 1/0 1/3 1/0 8/23 1/0 7/20 0/1 6/17 1/0 11/31 -9/4 5/14 -1/1 14/39 1/0 23/64 2/1 9/25 1/0 13/36 -8/3 4/11 1/0 15/41 1/0 26/71 -5/2 11/30 -1/1 7/19 1/0 3/8 -2/1 14/37 1/0 11/29 -5/2 19/50 -3/1 8/21 -9/4 13/34 -9/5 5/13 -3/2 17/44 0/1 29/75 1/0 12/31 1/0 7/18 -5/3 23/59 -5/4 16/41 -3/2 9/23 -3/2 11/28 -4/3 2/5 1/0 11/27 -9/4 9/22 -5/3 25/61 -3/2 16/39 -3/2 7/17 -3/2 19/46 -1/1 31/75 -3/2 12/29 -5/4 29/70 -1/1 17/41 -3/2 5/12 -4/3 8/19 -1/1 11/26 -1/1 14/33 -3/4 31/73 -1/2 48/113 -1/2 17/40 -2/5 3/7 1/0 16/37 1/0 13/30 -3/1 10/23 -7/4 17/39 -3/2 24/55 -11/8 7/16 -2/1 11/25 -3/2 15/34 -9/7 34/77 -5/4 19/43 -5/4 4/9 -7/6 9/20 -4/5 14/31 -3/4 33/73 -1/2 52/115 -1/2 19/42 -1/1 5/11 1/0 11/24 -2/1 17/37 1/0 6/13 -3/2 13/28 -4/3 7/15 -3/2 8/17 -9/8 9/19 -1/1 1/2 -1/1 10/19 -1/1 9/17 -9/10 8/15 -3/4 7/13 -3/4 20/37 -1/2 33/61 -1/2 13/24 -2/3 6/11 -1/2 23/42 -1/1 40/73 1/0 17/31 -3/2 11/20 -4/3 16/29 -15/14 21/38 -1/1 5/9 -7/8 14/25 -3/4 9/16 -2/3 22/39 -3/4 13/23 -7/10 43/76 -2/3 30/53 -13/20 17/30 -3/5 21/37 -1/2 4/7 -1/2 23/40 2/1 19/33 -3/2 34/59 -5/2 15/26 -1/1 11/19 -1/1 7/12 -4/5 31/53 -3/4 24/41 -3/4 89/152 -2/3 65/111 -1/2 41/70 -1/1 17/29 -5/6 44/75 -3/4 27/46 -1/1 10/17 -3/4 33/56 -10/13 56/95 -3/4 23/39 -3/4 59/100 -8/11 36/61 -3/4 13/22 -5/7 29/49 -19/28 45/76 -2/3 16/27 -9/14 19/32 -2/3 3/5 -1/2 23/38 -1/1 20/33 -7/8 17/28 -4/5 31/51 -3/4 14/23 -3/4 39/64 -2/3 25/41 -3/4 11/18 -5/7 8/13 -3/4 29/47 -17/24 50/81 -7/10 71/115 -7/10 92/149 -7/10 21/34 -9/13 34/55 -27/40 47/76 -2/3 13/21 -9/14 31/50 -3/5 49/79 -1/2 18/29 -5/8 5/8 -2/3 12/19 -1/2 19/30 -1/1 45/71 -5/8 71/112 -6/11 168/265 -1/2 265/418 -1/2 97/153 -1/2 26/41 -1/2 33/52 0/1 7/11 -1/2 23/36 -8/13 16/25 -1/2 73/114 -1/2 57/89 -1/2 41/64 -2/5 25/39 -1/2 9/14 -1/1 29/45 -11/16 49/76 -2/3 20/31 -9/14 31/48 -2/3 11/17 -1/2 24/37 -1/2 37/57 -1/2 13/20 0/1 2/3 -1/2 15/22 -3/5 13/19 -1/2 11/16 -2/5 9/13 -1/2 25/36 -4/11 66/95 -1/3 41/59 -3/10 16/23 -1/4 39/56 -2/9 23/33 -1/8 53/76 0/1 30/43 1/6 7/10 -1/1 40/57 -1/2 33/47 -1/4 26/37 -1/2 45/64 -2/5 64/91 -1/2 19/27 -1/4 50/71 1/0 81/115 1/0 31/44 0/1 43/61 -3/2 12/17 -3/4 53/75 -1/2 94/133 -1/2 41/58 -1/3 29/41 -1/2 46/65 -1/2 17/24 -2/3 22/31 -1/2 27/38 -1/2 5/7 -1/2 28/39 -1/2 51/71 -1/2 23/32 -2/5 41/57 -1/3 18/25 -1/4 13/18 -1/5 34/47 -1/18 55/76 0/1 21/29 1/8 29/40 2/3 8/11 1/0 35/48 -2/3 62/85 1/0 27/37 -1/2 46/63 -1/4 111/152 0/1 65/89 1/2 19/26 -1/1 49/67 -3/4 30/41 -1/2 41/56 -2/5 11/15 -1/2 47/64 -2/3 36/49 1/0 25/34 -1/1 14/19 -1/2 3/4 0/1 16/21 1/0 29/38 -1/1 13/17 -1/2 23/30 -1/1 33/43 -1/4 10/13 -1/2 37/48 -2/3 64/83 -5/8 27/35 -1/2 44/57 -1/2 17/22 -1/3 24/31 -1/2 31/40 -2/9 7/9 1/2 32/41 1/0 89/114 1/0 57/73 1/0 25/32 -2/1 43/55 -5/4 18/23 -1/2 29/37 1/0 11/14 -1/1 15/19 -1/1 19/24 -2/3 42/53 -1/2 23/29 1/0 4/5 -1/2 21/26 -1/1 17/21 1/2 47/58 3/1 77/95 1/0 30/37 1/0 13/16 -2/1 22/27 -7/6 31/38 -1/1 9/11 -3/4 32/39 -1/2 55/67 -3/4 78/95 -1/2 23/28 0/1 60/73 -1/2 37/45 -1/4 14/17 1/0 47/57 -1/1 33/40 -6/7 19/23 -1/2 43/52 0/1 24/29 -3/4 5/6 -1/1 16/19 -1/1 27/32 -6/7 11/13 -3/4 28/33 -7/10 17/20 0/1 6/7 -1/2 19/22 -1/1 13/15 -1/2 33/38 -1/1 20/23 -3/4 7/8 -2/3 8/9 -5/8 25/28 -4/7 17/19 -1/2 9/10 -1/1 1/1 -1/2 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(189,166,-304,-267) (-1/1,-7/8) -> (-5/8,-23/37) Hyperbolic Matrix(39,34,-304,-265) (-7/8,-13/15) -> (-3/23,-1/8) Hyperbolic Matrix(647,558,-836,-721) (-13/15,-6/7) -> (-24/31,-41/53) Hyperbolic Matrix(343,292,760,647) (-6/7,-17/20) -> (9/20,14/31) Hyperbolic Matrix(761,646,2508,2129) (-17/20,-28/33) -> (10/33,17/56) Hyperbolic Matrix(229,194,988,837) (-28/33,-11/13) -> (3/13,10/43) Hyperbolic Matrix(341,288,-1216,-1027) (-11/13,-16/19) -> (-16/57,-7/25) Hyperbolic Matrix(191,160,228,191) (-16/19,-5/6) -> (5/6,16/19) Hyperbolic Matrix(913,756,2204,1825) (-5/6,-24/29) -> (12/29,29/70) Hyperbolic Matrix(457,378,-2204,-1823) (-24/29,-19/23) -> (-11/53,-6/29) Hyperbolic Matrix(533,440,-1748,-1443) (-19/23,-14/17) -> (-18/59,-7/23) Hyperbolic Matrix(457,376,-1292,-1063) (-14/17,-23/28) -> (-17/48,-6/17) Hyperbolic Matrix(227,186,-836,-685) (-23/28,-9/11) -> (-3/11,-13/48) Hyperbolic Matrix(113,92,-608,-495) (-9/11,-13/16) -> (-3/16,-5/27) Hyperbolic Matrix(685,556,-1216,-987) (-13/16,-17/21) -> (-31/55,-9/16) Hyperbolic Matrix(419,338,-988,-797) (-17/21,-4/5) -> (-14/33,-25/59) Hyperbolic Matrix(1595,1266,2584,2051) (-4/5,-23/29) -> (29/47,50/81) Hyperbolic Matrix(381,302,-2204,-1747) (-23/29,-19/24) -> (-9/52,-5/29) Hyperbolic Matrix(721,570,912,721) (-19/24,-15/19) -> (15/19,19/24) Hyperbolic Matrix(419,330,532,419) (-15/19,-11/14) -> (11/14,15/19) Hyperbolic Matrix(683,536,1064,835) (-11/14,-29/37) -> (25/39,9/14) Hyperbolic Matrix(761,596,1748,1369) (-29/37,-18/23) -> (10/23,17/39) Hyperbolic Matrix(875,684,-2964,-2317) (-18/23,-25/32) -> (-13/44,-18/61) Hyperbolic Matrix(799,624,-3648,-2849) (-25/32,-32/41) -> (-16/73,-7/32) Hyperbolic Matrix(2279,1778,3116,2431) (-32/41,-7/9) -> (49/67,30/41) Hyperbolic Matrix(1101,854,-1520,-1179) (-7/9,-24/31) -> (-50/69,-21/29) Hyperbolic Matrix(1027,794,2508,1939) (-41/53,-17/22) -> (9/22,25/61) Hyperbolic Matrix(267,206,-836,-645) (-17/22,-27/35) -> (-1/3,-7/22) Hyperbolic Matrix(799,616,-4484,-3457) (-27/35,-37/48) -> (-5/28,-13/73) Hyperbolic Matrix(457,352,988,761) (-37/48,-10/13) -> (6/13,13/28) Hyperbolic Matrix(151,116,988,759) (-10/13,-33/43) -> (5/33,2/13) Hyperbolic Matrix(2167,1662,3420,2623) (-33/43,-23/30) -> (19/30,45/71) Hyperbolic Matrix(533,408,1292,989) (-23/30,-13/17) -> (7/17,19/46) Hyperbolic Matrix(37,28,-152,-115) (-13/17,-3/4) -> (-1/4,-5/21) Hyperbolic Matrix(113,84,152,113) (-3/4,-14/19) -> (14/19,3/4) Hyperbolic Matrix(951,700,1292,951) (-14/19,-25/34) -> (25/34,14/19) Hyperbolic Matrix(1331,978,2432,1787) (-25/34,-36/49) -> (6/11,23/42) Hyperbolic Matrix(1443,1060,-4864,-3573) (-36/49,-11/15) -> (-27/91,-8/27) Hyperbolic Matrix(645,472,-988,-723) (-11/15,-30/41) -> (-2/3,-15/23) Hyperbolic Matrix(1559,1140,-4104,-3001) (-30/41,-19/26) -> (-19/50,-30/79) Hyperbolic Matrix(1065,778,-3952,-2887) (-19/26,-46/63) -> (-24/89,-7/26) Hyperbolic Matrix(1293,944,2812,2053) (-46/63,-27/37) -> (17/37,6/13) Hyperbolic Matrix(151,110,-836,-609) (-27/37,-8/11) -> (-2/11,-7/39) Hyperbolic Matrix(303,220,836,607) (-8/11,-29/40) -> (13/36,4/11) Hyperbolic Matrix(1747,1266,3040,2203) (-29/40,-50/69) -> (4/7,23/40) Hyperbolic Matrix(379,274,-1368,-989) (-21/29,-13/18) -> (-5/18,-13/47) Hyperbolic Matrix(419,302,-684,-493) (-13/18,-5/7) -> (-19/31,-11/18) Hyperbolic Matrix(265,188,-912,-647) (-5/7,-17/24) -> (-7/24,-9/31) Hyperbolic Matrix(1139,806,-3116,-2205) (-17/24,-29/41) -> (-15/41,-19/52) Hyperbolic Matrix(1901,1344,-3116,-2203) (-29/41,-12/17) -> (-36/59,-25/41) Hyperbolic Matrix(647,456,-2964,-2089) (-12/17,-31/44) -> (-7/32,-12/55) Hyperbolic Matrix(835,588,-2052,-1445) (-31/44,-19/27) -> (-11/27,-13/32) Hyperbolic Matrix(1291,908,-4864,-3421) (-19/27,-45/64) -> (-17/64,-13/49) Hyperbolic Matrix(1747,1228,4864,3419) (-45/64,-26/37) -> (14/39,23/64) Hyperbolic Matrix(37,26,-380,-267) (-26/37,-7/10) -> (-1/10,0/1) Hyperbolic Matrix(229,160,-760,-531) (-7/10,-23/33) -> (-13/43,-3/10) Hyperbolic Matrix(379,264,2508,1747) (-23/33,-39/56) -> (3/20,5/33) Hyperbolic Matrix(609,424,1748,1217) (-39/56,-16/23) -> (8/23,7/20) Hyperbolic Matrix(305,212,-1748,-1215) (-16/23,-25/36) -> (-7/40,-4/23) Hyperbolic Matrix(493,342,1368,949) (-25/36,-9/13) -> (9/25,13/36) Hyperbolic Matrix(267,184,608,419) (-9/13,-11/16) -> (7/16,11/25) Hyperbolic Matrix(417,286,608,417) (-11/16,-13/19) -> (13/19,11/16) Hyperbolic Matrix(191,130,-836,-569) (-13/19,-2/3) -> (-8/35,-13/57) Hyperbolic Matrix(531,346,1748,1139) (-15/23,-13/20) -> (17/56,7/23) Hyperbolic Matrix(531,344,-1292,-837) (-13/20,-11/17) -> (-7/17,-23/56) Hyperbolic Matrix(229,148,-1292,-835) (-11/17,-20/31) -> (-8/45,-3/17) Hyperbolic Matrix(379,244,-1064,-685) (-20/31,-9/14) -> (-5/14,-16/45) Hyperbolic Matrix(835,536,1064,683) (-9/14,-25/39) -> (29/37,11/14) Hyperbolic Matrix(1445,926,4864,3117) (-25/39,-41/64) -> (19/64,11/37) Hyperbolic Matrix(2623,1680,-7296,-4673) (-41/64,-16/25) -> (-32/89,-23/64) Hyperbolic Matrix(419,268,1368,875) (-16/25,-23/36) -> (11/36,4/13) Hyperbolic Matrix(229,146,836,533) (-23/36,-7/11) -> (3/11,11/40) Hyperbolic Matrix(911,578,-3116,-1977) (-7/11,-26/41) -> (-12/41,-19/65) Hyperbolic Matrix(3761,2384,-6536,-4143) (-26/41,-45/71) -> (-19/33,-42/73) Hyperbolic Matrix(2623,1662,3420,2167) (-45/71,-19/30) -> (23/30,33/43) Hyperbolic Matrix(721,456,1140,721) (-19/30,-12/19) -> (12/19,19/30) Hyperbolic Matrix(191,120,304,191) (-12/19,-5/8) -> (5/8,12/19) Hyperbolic Matrix(837,520,-2812,-1747) (-23/37,-18/29) -> (-14/47,-11/37) Hyperbolic Matrix(1103,684,-4104,-2545) (-18/29,-31/50) -> (-7/26,-18/67) Hyperbolic Matrix(1481,918,-3496,-2167) (-31/50,-13/21) -> (-25/59,-11/26) Hyperbolic Matrix(987,610,-2584,-1597) (-13/21,-21/34) -> (-13/34,-21/55) Hyperbolic Matrix(723,446,-1292,-797) (-21/34,-8/13) -> (-14/25,-19/34) Hyperbolic Matrix(153,94,-988,-607) (-8/13,-27/44) -> (-5/32,-2/13) Hyperbolic Matrix(2471,1516,-8360,-5129) (-27/44,-46/75) -> (-34/115,-13/44) Hyperbolic Matrix(721,442,1672,1025) (-46/75,-19/31) -> (3/7,16/37) Hyperbolic Matrix(721,440,-3800,-2319) (-11/18,-36/59) -> (-4/21,-11/58) Hyperbolic Matrix(1293,788,-3116,-1899) (-25/41,-14/23) -> (-22/53,-17/41) Hyperbolic Matrix(569,346,-1064,-647) (-14/23,-17/28) -> (-15/28,-8/15) Hyperbolic Matrix(419,254,-1064,-645) (-17/28,-3/5) -> (-13/33,-11/28) Hyperbolic Matrix(607,360,-2052,-1217) (-3/5,-16/27) -> (-8/27,-21/71) Hyperbolic Matrix(683,404,-1672,-989) (-16/27,-13/22) -> (-9/22,-20/49) Hyperbolic Matrix(569,336,2508,1481) (-13/22,-36/61) -> (12/53,5/22) Hyperbolic Matrix(2129,1256,-4636,-2735) (-36/61,-23/39) -> (-17/37,-28/61) Hyperbolic Matrix(455,268,-1292,-761) (-23/39,-10/17) -> (-6/17,-13/37) Hyperbolic Matrix(303,178,1292,759) (-10/17,-27/46) -> (7/30,4/17) Hyperbolic Matrix(1711,1004,3952,2319) (-27/46,-44/75) -> (16/37,13/30) Hyperbolic Matrix(2015,1182,-7448,-4369) (-44/75,-17/29) -> (-23/85,-10/37) Hyperbolic Matrix(379,222,2204,1291) (-17/29,-41/70) -> (1/6,5/29) Hyperbolic Matrix(4409,2582,-10640,-6231) (-41/70,-24/41) -> (-46/111,-29/70) Hyperbolic Matrix(1217,712,-3116,-1823) (-24/41,-7/12) -> (-25/64,-16/41) Hyperbolic Matrix(265,154,456,265) (-7/12,-11/19) -> (11/19,7/12) Hyperbolic Matrix(571,330,988,571) (-11/19,-15/26) -> (15/26,11/19) Hyperbolic Matrix(191,110,-988,-569) (-15/26,-19/33) -> (-1/5,-5/26) Hyperbolic Matrix(15579,8962,25232,14515) (-42/73,-65/113) -> (71/115,92/149) Hyperbolic Matrix(8513,4896,-23256,-13375) (-65/113,-23/40) -> (-41/112,-97/265) Hyperbolic Matrix(1177,676,1520,873) (-23/40,-4/7) -> (24/31,31/40) Hyperbolic Matrix(647,368,1672,951) (-4/7,-21/37) -> (29/75,12/31) Hyperbolic Matrix(1633,926,3952,2241) (-21/37,-17/30) -> (19/46,31/75) Hyperbolic Matrix(989,560,-2280,-1291) (-17/30,-13/23) -> (-23/53,-13/30) Hyperbolic Matrix(379,214,1748,987) (-13/23,-22/39) -> (8/37,5/23) Hyperbolic Matrix(1405,792,-4788,-2699) (-22/39,-31/55) -> (-5/17,-22/75) Hyperbolic Matrix(189,106,608,341) (-9/16,-14/25) -> (4/13,5/16) Hyperbolic Matrix(3913,2186,-7144,-3991) (-19/34,-43/77) -> (-63/115,-23/42) Hyperbolic Matrix(7333,4094,10412,5813) (-43/77,-24/43) -> (50/71,81/115) Hyperbolic Matrix(1025,572,1292,721) (-24/43,-5/9) -> (23/29,4/5) Hyperbolic Matrix(341,188,-760,-419) (-5/9,-11/20) -> (-9/20,-13/29) Hyperbolic Matrix(113,62,760,417) (-11/20,-17/31) -> (1/7,3/20) Hyperbolic Matrix(4561,2500,5548,3041) (-17/31,-40/73) -> (60/73,37/45) Hyperbolic Matrix(10071,5518,15884,8703) (-40/73,-63/115) -> (97/153,26/41) Hyperbolic Matrix(1787,978,2432,1331) (-23/42,-6/11) -> (36/49,25/34) Hyperbolic Matrix(305,166,-836,-455) (-6/11,-13/24) -> (-19/52,-4/11) Hyperbolic Matrix(1901,1028,-4636,-2507) (-13/24,-20/37) -> (-16/39,-41/100) Hyperbolic Matrix(759,410,2812,1519) (-20/37,-7/13) -> (17/63,10/37) Hyperbolic Matrix(227,122,988,531) (-7/13,-15/28) -> (11/48,3/13) Hyperbolic Matrix(951,506,1216,647) (-8/15,-9/17) -> (43/55,18/23) Hyperbolic Matrix(1901,1004,2736,1445) (-9/17,-10/19) -> (66/95,41/59) Hyperbolic Matrix(39,20,76,39) (-10/19,-1/2) -> (1/2,10/19) Hyperbolic Matrix(37,18,76,37) (-1/2,-9/19) -> (9/19,1/2) Hyperbolic Matrix(1065,502,1292,609) (-9/19,-8/17) -> (14/17,47/57) Hyperbolic Matrix(911,428,1292,607) (-8/17,-7/15) -> (43/61,12/17) Hyperbolic Matrix(417,194,-1064,-495) (-7/15,-6/13) -> (-20/51,-9/23) Hyperbolic Matrix(2053,944,2812,1293) (-6/13,-17/37) -> (27/37,46/63) Hyperbolic Matrix(2167,994,2736,1255) (-28/61,-11/24) -> (19/24,42/53) Hyperbolic Matrix(533,244,-1824,-835) (-11/24,-5/11) -> (-19/65,-7/24) Hyperbolic Matrix(645,292,2432,1101) (-5/11,-19/42) -> (9/34,13/49) Hyperbolic Matrix(3343,1512,-8740,-3953) (-19/42,-33/73) -> (-57/149,-13/34) Hyperbolic Matrix(5509,2490,7144,3229) (-33/73,-14/31) -> (64/83,27/35) Hyperbolic Matrix(647,292,760,343) (-14/31,-9/20) -> (17/20,6/7) Hyperbolic Matrix(799,358,1444,647) (-13/29,-17/38) -> (21/38,5/9) Hyperbolic Matrix(797,356,1444,645) (-17/38,-4/9) -> (16/29,21/38) Hyperbolic Matrix(495,218,-1292,-569) (-4/9,-11/25) -> (-5/13,-18/47) Hyperbolic Matrix(419,184,608,267) (-11/25,-7/16) -> (11/16,9/13) Hyperbolic Matrix(229,100,-1216,-531) (-7/16,-17/39) -> (-7/37,-3/16) Hyperbolic Matrix(1369,596,1748,761) (-17/39,-10/23) -> (18/23,29/37) Hyperbolic Matrix(3269,1420,5776,2509) (-10/23,-33/76) -> (43/76,30/53) Hyperbolic Matrix(3267,1418,5776,2507) (-33/76,-23/53) -> (13/23,43/76) Hyperbolic Matrix(2319,1004,3952,1711) (-13/30,-16/37) -> (44/75,27/46) Hyperbolic Matrix(381,164,532,229) (-16/37,-3/7) -> (5/7,28/39) Hyperbolic Matrix(837,356,3040,1293) (-3/7,-17/40) -> (11/40,19/69) Hyperbolic Matrix(2393,1016,-6536,-2775) (-17/40,-14/33) -> (-26/71,-41/112) Hyperbolic Matrix(417,176,988,417) (-11/26,-8/19) -> (8/19,11/26) Hyperbolic Matrix(191,80,456,191) (-8/19,-5/12) -> (5/12,8/19) Hyperbolic Matrix(949,394,-3572,-1483) (-5/12,-22/53) -> (-4/15,-17/64) Hyperbolic Matrix(13529,5608,23104,9577) (-17/41,-63/152) -> (89/152,65/111) Hyperbolic Matrix(13527,5606,23104,9575) (-63/152,-46/111) -> (24/41,89/152) Hyperbolic Matrix(1825,756,2204,913) (-29/70,-12/29) -> (24/29,5/6) Hyperbolic Matrix(1103,456,-6156,-2545) (-12/29,-31/75) -> (-7/39,-12/67) Hyperbolic Matrix(2241,926,3952,1633) (-31/75,-19/46) -> (17/30,21/37) Hyperbolic Matrix(989,408,1292,533) (-19/46,-7/17) -> (13/17,23/30) Hyperbolic Matrix(3307,1358,5092,2091) (-23/56,-39/95) -> (37/57,13/20) Hyperbolic Matrix(3611,1482,-12312,-5053) (-39/95,-16/39) -> (-22/75,-39/133) Hyperbolic Matrix(4523,1854,5472,2243) (-41/100,-25/61) -> (19/23,43/52) Hyperbolic Matrix(1445,592,1672,685) (-25/61,-9/22) -> (19/22,13/15) Hyperbolic Matrix(3421,1396,5776,2357) (-20/49,-31/76) -> (45/76,16/27) Hyperbolic Matrix(3419,1394,5776,2355) (-31/76,-11/27) -> (29/49,45/76) Hyperbolic Matrix(685,278,-2432,-987) (-13/32,-2/5) -> (-20/71,-9/32) Hyperbolic Matrix(875,346,1444,571) (-2/5,-15/38) -> (23/38,20/33) Hyperbolic Matrix(873,344,1444,569) (-15/38,-13/33) -> (3/5,23/38) Hyperbolic Matrix(2167,850,2812,1103) (-11/28,-20/51) -> (10/13,37/48) Hyperbolic Matrix(2165,846,-7296,-2851) (-9/23,-25/64) -> (-19/64,-27/91) Hyperbolic Matrix(913,356,-3116,-1215) (-16/41,-7/18) -> (-17/58,-12/41) Hyperbolic Matrix(191,74,-684,-265) (-7/18,-5/13) -> (-7/25,-5/18) Hyperbolic Matrix(533,204,2584,989) (-18/47,-31/81) -> (1/5,6/29) Hyperbolic Matrix(8133,3112,11324,4333) (-31/81,-44/115) -> (28/39,51/71) Hyperbolic Matrix(10717,4100,25232,9653) (-44/115,-57/149) -> (31/73,48/113) Hyperbolic Matrix(3573,1364,5776,2205) (-21/55,-29/76) -> (47/76,13/21) Hyperbolic Matrix(3571,1362,5776,2203) (-29/76,-8/21) -> (34/55,47/76) Hyperbolic Matrix(305,116,-1596,-607) (-8/21,-19/50) -> (-5/26,-4/21) Hyperbolic Matrix(1481,562,1900,721) (-30/79,-11/29) -> (7/9,32/41) Hyperbolic Matrix(37,14,-304,-115) (-11/29,-3/8) -> (-1/8,-1/9) Hyperbolic Matrix(113,42,304,113) (-3/8,-7/19) -> (7/19,3/8) Hyperbolic Matrix(419,154,1140,419) (-7/19,-11/30) -> (11/30,7/19) Hyperbolic Matrix(797,292,3420,1253) (-11/30,-26/71) -> (10/43,7/30) Hyperbolic Matrix(110771,40546,174724,63955) (-97/265,-153/418) -> (265/418,97/153) Hyperbolic Matrix(110769,40544,174724,63953) (-153/418,-56/153) -> (168/265,265/418) Hyperbolic Matrix(7181,2628,15884,5813) (-56/153,-15/41) -> (33/73,52/115) Hyperbolic Matrix(607,220,836,303) (-4/11,-13/36) -> (29/40,8/11) Hyperbolic Matrix(949,342,1368,493) (-13/36,-9/25) -> (9/13,25/36) Hyperbolic Matrix(8323,2994,12996,4675) (-9/25,-41/114) -> (73/114,57/89) Hyperbolic Matrix(8321,2992,12996,4673) (-41/114,-32/89) -> (16/25,73/114) Hyperbolic Matrix(3419,1228,4864,1747) (-23/64,-14/39) -> (26/37,45/64) Hyperbolic Matrix(229,82,1064,381) (-14/39,-5/14) -> (3/14,8/37) Hyperbolic Matrix(3725,1324,5776,2053) (-16/45,-27/76) -> (49/76,20/31) Hyperbolic Matrix(3723,1322,5776,2051) (-27/76,-11/31) -> (29/45,49/76) Hyperbolic Matrix(1253,444,-5472,-1939) (-11/31,-17/48) -> (-11/48,-19/83) Hyperbolic Matrix(1065,374,-5624,-1975) (-13/37,-20/57) -> (-18/95,-7/37) Hyperbolic Matrix(3001,1052,5092,1785) (-20/57,-7/20) -> (33/56,56/95) Hyperbolic Matrix(265,92,-988,-343) (-7/20,-1/3) -> (-11/41,-15/56) Hyperbolic Matrix(1291,410,1672,531) (-7/22,-6/19) -> (44/57,17/22) Hyperbolic Matrix(191,60,608,191) (-6/19,-5/16) -> (5/16,6/19) Hyperbolic Matrix(341,106,608,189) (-5/16,-4/13) -> (14/25,9/16) Hyperbolic Matrix(875,268,1368,419) (-4/13,-11/36) -> (23/36,16/25) Hyperbolic Matrix(4827,1474,5852,1787) (-11/36,-29/95) -> (47/57,33/40) Hyperbolic Matrix(1291,394,2736,835) (-29/95,-18/59) -> (8/17,9/19) Hyperbolic Matrix(1559,474,2128,647) (-7/23,-17/56) -> (41/56,11/15) Hyperbolic Matrix(2129,646,2508,761) (-17/56,-10/33) -> (28/33,17/20) Hyperbolic Matrix(4029,1220,5776,1749) (-10/33,-23/76) -> (53/76,30/43) Hyperbolic Matrix(4027,1218,5776,1747) (-23/76,-13/43) -> (23/33,53/76) Hyperbolic Matrix(683,204,760,227) (-3/10,-17/57) -> (17/19,9/10) Hyperbolic Matrix(1483,442,-8284,-2469) (-17/57,-14/47) -> (-12/67,-17/95) Hyperbolic Matrix(3117,926,4864,1445) (-11/37,-19/64) -> (41/64,25/39) Hyperbolic Matrix(4599,1360,10412,3079) (-21/71,-34/115) -> (34/77,19/43) Hyperbolic Matrix(685,202,1292,381) (-18/61,-5/17) -> (9/17,8/15) Hyperbolic Matrix(10717,3142,13224,3877) (-39/133,-17/58) -> (47/58,77/95) Hyperbolic Matrix(1027,298,1444,419) (-9/31,-11/38) -> (27/38,5/7) Hyperbolic Matrix(1025,296,1444,417) (-11/38,-2/7) -> (22/31,27/38) Hyperbolic Matrix(303,86,532,151) (-2/7,-11/39) -> (21/37,4/7) Hyperbolic Matrix(6991,1970,11324,3191) (-11/39,-20/71) -> (50/81,71/115) Hyperbolic Matrix(2051,576,2432,683) (-9/32,-16/57) -> (16/19,27/32) Hyperbolic Matrix(4181,1156,5776,1597) (-13/47,-21/76) -> (55/76,21/29) Hyperbolic Matrix(4179,1154,5776,1595) (-21/76,-8/29) -> (34/47,55/76) Hyperbolic Matrix(341,94,-1520,-419) (-8/29,-11/40) -> (-9/40,-2/9) Hyperbolic Matrix(533,146,836,229) (-11/40,-3/11) -> (7/11,23/36) Hyperbolic Matrix(303,82,-2812,-761) (-13/48,-23/85) -> (-1/9,-3/28) Hyperbolic Matrix(1519,410,2812,759) (-10/37,-17/63) -> (7/13,20/37) Hyperbolic Matrix(16873,4552,23104,6233) (-17/63,-41/152) -> (111/152,65/89) Hyperbolic Matrix(16871,4550,23104,6231) (-41/152,-24/89) -> (46/63,111/152) Hyperbolic Matrix(685,184,3116,837) (-18/67,-11/41) -> (9/41,2/9) Hyperbolic Matrix(1481,396,2128,569) (-15/56,-4/15) -> (16/23,39/56) Hyperbolic Matrix(1101,292,2432,645) (-13/49,-9/34) -> (19/42,5/11) Hyperbolic Matrix(341,90,1292,341) (-9/34,-5/19) -> (5/19,9/34) Hyperbolic Matrix(39,10,152,39) (-5/19,-1/4) -> (1/4,5/19) Hyperbolic Matrix(1103,262,1444,343) (-5/21,-9/38) -> (29/38,13/17) Hyperbolic Matrix(1101,260,1444,341) (-9/38,-4/17) -> (16/21,29/38) Hyperbolic Matrix(759,178,1292,303) (-4/17,-7/30) -> (27/46,10/17) Hyperbolic Matrix(1253,292,3420,797) (-7/30,-10/43) -> (26/71,11/30) Hyperbolic Matrix(837,194,988,229) (-10/43,-3/13) -> (11/13,28/33) Hyperbolic Matrix(1709,392,2812,645) (-3/13,-11/48) -> (17/28,31/51) Hyperbolic Matrix(3915,896,7144,1635) (-19/83,-8/35) -> (40/73,17/31) Hyperbolic Matrix(1141,260,1672,381) (-13/57,-5/22) -> (15/22,13/19) Hyperbolic Matrix(115,26,-836,-189) (-5/22,-7/31) -> (-1/7,-3/22) Hyperbolic Matrix(647,146,1520,343) (-7/31,-9/40) -> (17/40,3/7) Hyperbolic Matrix(1179,260,1900,419) (-2/9,-9/41) -> (49/79,18/29) Hyperbolic Matrix(10147,2226,12996,2851) (-9/41,-25/114) -> (89/114,57/73) Hyperbolic Matrix(10145,2224,12996,2849) (-25/114,-16/73) -> (32/41,89/114) Hyperbolic Matrix(569,124,1216,265) (-12/55,-5/23) -> (7/15,8/17) Hyperbolic Matrix(987,214,1748,379) (-5/23,-8/37) -> (22/39,13/23) Hyperbolic Matrix(381,82,1064,229) (-8/37,-3/14) -> (5/14,14/39) Hyperbolic Matrix(113,24,532,113) (-3/14,-4/19) -> (4/19,3/14) Hyperbolic Matrix(191,40,912,191) (-4/19,-5/24) -> (5/24,4/19) Hyperbolic Matrix(1481,308,2736,569) (-5/24,-11/53) -> (33/61,13/24) Hyperbolic Matrix(571,118,1292,267) (-6/29,-1/5) -> (19/43,4/9) Hyperbolic Matrix(9347,1772,13224,2507) (-11/58,-18/95) -> (94/133,41/58) Hyperbolic Matrix(1179,218,1444,267) (-5/27,-7/38) -> (31/38,9/11) Hyperbolic Matrix(1177,216,1444,265) (-7/38,-2/11) -> (22/27,31/38) Hyperbolic Matrix(2851,510,3192,571) (-17/95,-5/28) -> (25/28,17/19) Hyperbolic Matrix(2507,446,5548,987) (-13/73,-8/45) -> (14/31,33/73) Hyperbolic Matrix(683,120,1292,227) (-3/17,-10/57) -> (10/19,9/17) Hyperbolic Matrix(4065,712,5852,1025) (-10/57,-7/40) -> (25/36,66/95) Hyperbolic Matrix(3229,560,5472,949) (-4/23,-9/52) -> (59/100,36/61) Hyperbolic Matrix(1291,222,2204,379) (-5/29,-1/6) -> (41/70,17/29) Hyperbolic Matrix(37,6,228,37) (-1/6,-3/19) -> (3/19,1/6) Hyperbolic Matrix(1749,274,2432,381) (-3/19,-5/32) -> (23/32,41/57) Hyperbolic Matrix(759,116,988,151) (-2/13,-5/33) -> (33/43,10/13) Hyperbolic Matrix(1747,264,2508,379) (-5/33,-3/20) -> (39/56,23/33) Hyperbolic Matrix(417,62,760,113) (-3/20,-1/7) -> (17/31,11/20) Hyperbolic Matrix(987,134,1672,227) (-3/22,-2/15) -> (36/61,13/22) Hyperbolic Matrix(1255,166,1444,191) (-2/15,-5/38) -> (33/38,20/23) Hyperbolic Matrix(1253,164,1444,189) (-5/38,-3/23) -> (13/15,33/38) Hyperbolic Matrix(2621,280,3192,341) (-3/28,-2/19) -> (78/95,23/28) Hyperbolic Matrix(533,54,760,77) (-2/19,-1/10) -> (7/10,40/57) Hyperbolic Matrix(115,-14,304,-37) (0/1,1/8) -> (3/8,14/37) Hyperbolic Matrix(265,-34,304,-39) (1/8,2/15) -> (20/23,7/8) Hyperbolic Matrix(189,-26,836,-115) (2/15,1/7) -> (7/31,12/53) Hyperbolic Matrix(875,-136,1216,-189) (2/13,3/19) -> (41/57,18/25) Hyperbolic Matrix(1747,-302,2204,-381) (5/29,4/23) -> (42/53,23/29) Hyperbolic Matrix(1215,-212,1748,-305) (4/23,3/17) -> (41/59,16/23) Hyperbolic Matrix(835,-148,1292,-229) (3/17,5/28) -> (31/48,11/17) Hyperbolic Matrix(609,-110,836,-151) (5/28,2/11) -> (8/11,35/48) Hyperbolic Matrix(495,-92,608,-113) (2/11,3/16) -> (13/16,22/27) Hyperbolic Matrix(531,-100,1216,-229) (3/16,4/21) -> (24/55,7/16) Hyperbolic Matrix(569,-110,988,-191) (4/21,1/5) -> (19/33,34/59) Hyperbolic Matrix(1823,-378,2204,-457) (6/29,5/24) -> (43/52,24/29) Hyperbolic Matrix(2089,-456,2964,-647) (5/23,7/32) -> (31/44,43/61) Hyperbolic Matrix(2849,-624,3648,-799) (7/32,9/41) -> (57/73,25/32) Hyperbolic Matrix(419,-94,1520,-341) (2/9,7/31) -> (19/69,8/29) Hyperbolic Matrix(569,-130,836,-191) (5/22,8/35) -> (2/3,15/22) Hyperbolic Matrix(3685,-844,4484,-1027) (8/35,11/48) -> (23/28,60/73) Hyperbolic Matrix(115,-28,152,-37) (4/17,1/4) -> (3/4,16/21) Hyperbolic Matrix(3421,-908,4864,-1291) (13/49,4/15) -> (64/91,19/27) Hyperbolic Matrix(343,-92,988,-265) (4/15,11/41) -> (1/3,8/23) Hyperbolic Matrix(2545,-684,4104,-1103) (11/41,7/26) -> (31/50,49/79) Hyperbolic Matrix(2887,-778,3952,-1065) (7/26,17/63) -> (65/89,19/26) Hyperbolic Matrix(685,-186,836,-227) (10/37,3/11) -> (9/11,32/39) Hyperbolic Matrix(989,-274,1368,-379) (8/29,5/18) -> (13/18,34/47) Hyperbolic Matrix(265,-74,684,-191) (5/18,2/7) -> (12/31,7/18) Hyperbolic Matrix(647,-188,912,-265) (2/7,7/24) -> (17/24,22/31) Hyperbolic Matrix(1977,-578,3116,-911) (7/24,12/41) -> (26/41,33/52) Hyperbolic Matrix(1215,-356,3116,-913) (12/41,5/17) -> (23/59,16/41) Hyperbolic Matrix(2317,-684,2964,-875) (5/17,13/44) -> (25/32,43/55) Hyperbolic Matrix(1217,-360,2052,-607) (13/44,8/27) -> (16/27,19/32) Hyperbolic Matrix(3573,-1060,4864,-1443) (8/27,19/64) -> (47/64,36/49) Hyperbolic Matrix(343,-102,380,-113) (11/37,3/10) -> (9/10,1/1) Hyperbolic Matrix(531,-160,760,-229) (3/10,10/33) -> (30/43,7/10) Hyperbolic Matrix(1443,-440,1748,-533) (7/23,11/36) -> (33/40,19/23) Hyperbolic Matrix(645,-206,836,-267) (6/19,1/3) -> (27/35,44/57) Hyperbolic Matrix(761,-268,1292,-455) (7/20,6/17) -> (10/17,33/56) Hyperbolic Matrix(1063,-376,1292,-457) (6/17,11/31) -> (37/45,14/17) Hyperbolic Matrix(685,-244,1064,-379) (11/31,5/14) -> (9/14,29/45) Hyperbolic Matrix(4673,-1680,7296,-2623) (23/64,9/25) -> (57/89,41/64) Hyperbolic Matrix(2205,-806,3116,-1139) (4/11,15/41) -> (29/41,46/65) Hyperbolic Matrix(2775,-1016,6536,-2393) (15/41,26/71) -> (14/33,31/73) Hyperbolic Matrix(1975,-748,2812,-1065) (14/37,11/29) -> (33/47,26/37) Hyperbolic Matrix(3001,-1140,4104,-1559) (11/29,19/50) -> (19/26,49/67) Hyperbolic Matrix(2015,-766,3496,-1329) (19/50,8/21) -> (34/59,15/26) Hyperbolic Matrix(1597,-610,2584,-987) (8/21,13/34) -> (21/34,34/55) Hyperbolic Matrix(569,-218,1292,-495) (13/34,5/13) -> (11/25,15/34) Hyperbolic Matrix(835,-322,988,-381) (5/13,17/44) -> (27/32,11/13) Hyperbolic Matrix(5889,-2276,8360,-3231) (17/44,29/75) -> (81/115,31/44) Hyperbolic Matrix(3079,-1200,3800,-1481) (7/18,23/59) -> (17/21,47/58) Hyperbolic Matrix(1823,-712,3116,-1217) (16/41,9/23) -> (31/53,24/41) Hyperbolic Matrix(495,-194,1064,-417) (9/23,11/28) -> (13/28,7/15) Hyperbolic Matrix(645,-254,1064,-419) (11/28,2/5) -> (20/33,17/28) Hyperbolic Matrix(1445,-588,2052,-835) (2/5,11/27) -> (19/27,50/71) Hyperbolic Matrix(989,-404,1672,-683) (11/27,9/22) -> (13/22,29/49) Hyperbolic Matrix(2507,-1028,4636,-1901) (25/61,16/39) -> (20/37,33/61) Hyperbolic Matrix(837,-344,1292,-531) (16/39,7/17) -> (11/17,24/37) Hyperbolic Matrix(5433,-2246,7448,-3079) (31/75,12/29) -> (62/85,27/37) Hyperbolic Matrix(6231,-2582,10640,-4409) (29/70,17/41) -> (65/111,41/70) Hyperbolic Matrix(1899,-788,3116,-1293) (17/41,5/12) -> (39/64,25/41) Hyperbolic Matrix(797,-338,988,-419) (11/26,14/33) -> (4/5,21/26) Hyperbolic Matrix(14743,-6264,23256,-9881) (48/113,17/40) -> (71/112,168/265) Hyperbolic Matrix(1291,-560,2280,-989) (13/30,10/23) -> (30/53,17/30) Hyperbolic Matrix(3383,-1476,4788,-2089) (17/39,24/55) -> (12/17,53/75) Hyperbolic Matrix(3231,-1426,7144,-3153) (15/34,34/77) -> (52/115,19/42) Hyperbolic Matrix(419,-188,760,-341) (4/9,9/20) -> (11/20,16/29) Hyperbolic Matrix(531,-242,836,-381) (5/11,11/24) -> (33/52,7/11) Hyperbolic Matrix(2735,-1256,4636,-2129) (11/24,17/37) -> (23/39,59/100) Hyperbolic Matrix(647,-346,1064,-569) (8/15,7/13) -> (31/51,14/23) Hyperbolic Matrix(1291,-700,1824,-989) (13/24,6/11) -> (46/65,17/24) Hyperbolic Matrix(5397,-2956,8740,-4787) (23/42,40/73) -> (92/149,21/34) Hyperbolic Matrix(797,-446,1292,-723) (5/9,14/25) -> (8/13,29/47) Hyperbolic Matrix(987,-556,1216,-685) (9/16,22/39) -> (30/37,13/16) Hyperbolic Matrix(4143,-2384,6536,-3761) (23/40,19/33) -> (45/71,71/112) Hyperbolic Matrix(2623,-1534,3572,-2089) (7/12,31/53) -> (11/15,47/64) Hyperbolic Matrix(5053,-2964,6156,-3611) (17/29,44/75) -> (32/39,55/67) Hyperbolic Matrix(8701,-5130,12312,-7259) (56/95,23/39) -> (53/75,94/133) Hyperbolic Matrix(1747,-1038,2432,-1445) (19/32,3/5) -> (51/71,23/32) Hyperbolic Matrix(5131,-3126,7296,-4445) (14/23,39/64) -> (45/64,64/91) Hyperbolic Matrix(2203,-1344,3116,-1901) (25/41,11/18) -> (41/58,29/41) Hyperbolic Matrix(493,-302,684,-419) (11/18,8/13) -> (18/25,13/18) Hyperbolic Matrix(1291,-800,1596,-989) (13/21,31/50) -> (21/26,17/21) Hyperbolic Matrix(267,-166,304,-189) (18/29,5/8) -> (7/8,8/9) Hyperbolic Matrix(4219,-2724,5472,-3533) (20/31,31/48) -> (37/48,64/83) Hyperbolic Matrix(4559,-2958,5624,-3649) (24/37,37/57) -> (77/95,30/37) Hyperbolic Matrix(723,-472,988,-645) (13/20,2/3) -> (30/41,41/56) Hyperbolic Matrix(6801,-4774,8284,-5815) (40/57,33/47) -> (55/67,78/95) Hyperbolic Matrix(1179,-854,1520,-1101) (21/29,29/40) -> (31/40,7/9) Hyperbolic Matrix(2509,-1830,2812,-2051) (35/48,62/85) -> (8/9,25/28) Hyperbolic Matrix(721,-558,836,-647) (17/22,24/31) -> (6/7,19/22) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-4,1) Matrix(189,166,-304,-267) -> Matrix(1,0,0,1) Matrix(39,34,-304,-265) -> Matrix(5,-4,4,-3) Matrix(647,558,-836,-721) -> Matrix(3,-2,8,-5) Matrix(343,292,760,647) -> Matrix(5,-4,-6,5) Matrix(761,646,2508,2129) -> Matrix(3,-2,8,-5) Matrix(229,194,988,837) -> Matrix(3,-2,-4,3) Matrix(341,288,-1216,-1027) -> Matrix(5,-4,-6,5) Matrix(191,160,228,191) -> Matrix(3,-2,-4,3) Matrix(913,756,2204,1825) -> Matrix(1,-2,0,1) Matrix(457,378,-2204,-1823) -> Matrix(3,-2,2,-1) Matrix(533,440,-1748,-1443) -> Matrix(3,-2,-4,3) Matrix(457,376,-1292,-1063) -> Matrix(1,2,0,1) Matrix(227,186,-836,-685) -> Matrix(3,-2,2,-1) Matrix(113,92,-608,-495) -> Matrix(3,-4,4,-5) Matrix(685,556,-1216,-987) -> Matrix(3,-4,4,-5) Matrix(419,338,-988,-797) -> Matrix(1,-2,2,-3) Matrix(1595,1266,2584,2051) -> Matrix(17,-12,-24,17) Matrix(381,302,-2204,-1747) -> Matrix(3,-2,2,-1) Matrix(721,570,912,721) -> Matrix(5,-4,-6,5) Matrix(419,330,532,419) -> Matrix(1,-2,0,1) Matrix(683,536,1064,835) -> Matrix(1,0,-2,1) Matrix(761,596,1748,1369) -> Matrix(3,2,-2,-1) Matrix(875,684,-2964,-2317) -> Matrix(1,-2,2,-3) Matrix(799,624,-3648,-2849) -> Matrix(1,-4,2,-7) Matrix(2279,1778,3116,2431) -> Matrix(1,2,-2,-3) Matrix(1101,854,-1520,-1179) -> Matrix(1,0,-6,1) Matrix(1027,794,2508,1939) -> Matrix(1,-2,0,1) Matrix(267,206,-836,-645) -> Matrix(3,-2,2,-1) Matrix(799,616,-4484,-3457) -> Matrix(3,-2,2,-1) Matrix(457,352,988,761) -> Matrix(1,-2,0,1) Matrix(151,116,988,759) -> Matrix(1,-2,0,1) Matrix(2167,1662,3420,2623) -> Matrix(3,-2,-4,3) Matrix(533,408,1292,989) -> Matrix(1,-2,0,1) Matrix(37,28,-152,-115) -> Matrix(1,0,0,1) Matrix(113,84,152,113) -> Matrix(1,0,-4,1) Matrix(951,700,1292,951) -> Matrix(3,-2,-4,3) Matrix(1331,978,2432,1787) -> Matrix(1,0,-2,1) Matrix(1443,1060,-4864,-3573) -> Matrix(1,0,-2,1) Matrix(645,472,-988,-723) -> Matrix(5,-2,8,-3) Matrix(1559,1140,-4104,-3001) -> Matrix(7,-4,2,-1) Matrix(1065,778,-3952,-2887) -> Matrix(1,0,0,1) Matrix(1293,944,2812,2053) -> Matrix(5,-2,-2,1) Matrix(151,110,-836,-609) -> Matrix(3,-2,2,-1) Matrix(303,220,836,607) -> Matrix(1,-2,0,1) Matrix(1747,1266,3040,2203) -> Matrix(1,0,2,1) Matrix(379,274,-1368,-989) -> Matrix(1,0,-8,1) Matrix(419,302,-684,-493) -> Matrix(5,-2,8,-3) Matrix(265,188,-912,-647) -> Matrix(7,-4,2,-1) Matrix(1139,806,-3116,-2205) -> Matrix(3,-2,2,-1) Matrix(1901,1344,-3116,-2203) -> Matrix(1,-2,2,-3) Matrix(647,456,-2964,-2089) -> Matrix(1,-2,2,-3) Matrix(835,588,-2052,-1445) -> Matrix(1,2,0,1) Matrix(1291,908,-4864,-3421) -> Matrix(1,0,-2,1) Matrix(1747,1228,4864,3419) -> Matrix(1,0,-2,1) Matrix(37,26,-380,-267) -> Matrix(3,-2,2,-1) Matrix(229,160,-760,-531) -> Matrix(1,0,0,1) Matrix(379,264,2508,1747) -> Matrix(9,-2,-4,1) Matrix(609,424,1748,1217) -> Matrix(9,-2,-4,1) Matrix(305,212,-1748,-1215) -> Matrix(7,-2,4,-1) Matrix(493,342,1368,949) -> Matrix(9,-4,-2,1) Matrix(267,184,608,419) -> Matrix(11,-4,-8,3) Matrix(417,286,608,417) -> Matrix(9,-4,-20,9) Matrix(191,130,-836,-569) -> Matrix(3,-2,2,-1) Matrix(531,346,1748,1139) -> Matrix(3,-2,8,-5) Matrix(531,344,-1292,-837) -> Matrix(17,-10,12,-7) Matrix(229,148,-1292,-835) -> Matrix(3,-2,8,-5) Matrix(379,244,-1064,-685) -> Matrix(5,-4,4,-3) Matrix(835,536,1064,683) -> Matrix(1,0,-2,1) Matrix(1445,926,4864,3117) -> Matrix(1,0,-2,1) Matrix(2623,1680,-7296,-4673) -> Matrix(9,-4,-2,1) Matrix(419,268,1368,875) -> Matrix(7,-4,2,-1) Matrix(229,146,836,533) -> Matrix(3,-2,-4,3) Matrix(911,578,-3116,-1977) -> Matrix(3,-2,2,-1) Matrix(3761,2384,-6536,-4143) -> Matrix(7,-4,2,-1) Matrix(2623,1662,3420,2167) -> Matrix(3,-2,-4,3) Matrix(721,456,1140,721) -> Matrix(3,-2,-4,3) Matrix(191,120,304,191) -> Matrix(7,-4,-12,7) Matrix(837,520,-2812,-1747) -> Matrix(3,-2,2,-1) Matrix(1103,684,-4104,-2545) -> Matrix(7,-4,2,-1) Matrix(1481,918,-3496,-2167) -> Matrix(13,-8,18,-11) Matrix(987,610,-2584,-1597) -> Matrix(53,-36,28,-19) Matrix(723,446,-1292,-797) -> Matrix(25,-18,32,-23) Matrix(153,94,-988,-607) -> Matrix(7,-6,6,-5) Matrix(2471,1516,-8360,-5129) -> Matrix(1,0,0,1) Matrix(721,442,1672,1025) -> Matrix(1,0,-2,1) Matrix(721,440,-3800,-2319) -> Matrix(5,-4,14,-11) Matrix(1293,788,-3116,-1899) -> Matrix(7,-6,6,-5) Matrix(569,346,-1064,-647) -> Matrix(1,0,0,1) Matrix(419,254,-1064,-645) -> Matrix(9,-8,8,-7) Matrix(607,360,-2052,-1217) -> Matrix(3,-2,8,-5) Matrix(683,404,-1672,-989) -> Matrix(29,-20,16,-11) Matrix(569,336,2508,1481) -> Matrix(3,-2,-4,3) Matrix(2129,1256,-4636,-2735) -> Matrix(3,-2,-4,3) Matrix(455,268,-1292,-761) -> Matrix(13,-10,4,-3) Matrix(303,178,1292,759) -> Matrix(3,-2,-4,3) Matrix(1711,1004,3952,2319) -> Matrix(11,-8,-4,3) Matrix(2015,1182,-7448,-4369) -> Matrix(5,-4,4,-3) Matrix(379,222,2204,1291) -> Matrix(3,-2,-4,3) Matrix(4409,2582,-10640,-6231) -> Matrix(5,-4,4,-3) Matrix(1217,712,-3116,-1823) -> Matrix(7,-6,6,-5) Matrix(265,154,456,265) -> Matrix(9,-8,-10,9) Matrix(571,330,988,571) -> Matrix(5,-6,-4,5) Matrix(191,110,-988,-569) -> Matrix(1,-2,2,-3) Matrix(15579,8962,25232,14515) -> Matrix(7,-44,-10,63) Matrix(8513,4896,-23256,-13375) -> Matrix(1,8,0,1) Matrix(1177,676,1520,873) -> Matrix(1,0,-4,1) Matrix(647,368,1672,951) -> Matrix(1,0,-2,1) Matrix(1633,926,3952,2241) -> Matrix(13,-8,-8,5) Matrix(989,560,-2280,-1291) -> Matrix(19,-12,8,-5) Matrix(379,214,1748,987) -> Matrix(3,-2,-10,7) Matrix(1405,792,-4788,-2699) -> Matrix(13,-10,4,-3) Matrix(189,106,608,341) -> Matrix(5,-4,4,-3) Matrix(3913,2186,-7144,-3991) -> Matrix(5,-4,-6,5) Matrix(7333,4094,10412,5813) -> Matrix(7,-6,6,-5) Matrix(1025,572,1292,721) -> Matrix(7,-6,-8,7) Matrix(341,188,-760,-419) -> Matrix(7,-8,8,-9) Matrix(113,62,760,417) -> Matrix(3,-4,-2,3) Matrix(4561,2500,5548,3041) -> Matrix(1,-2,-2,5) Matrix(10071,5518,15884,8703) -> Matrix(1,-2,-2,5) Matrix(1787,978,2432,1331) -> Matrix(1,0,-2,1) Matrix(305,166,-836,-455) -> Matrix(3,-2,2,-1) Matrix(1901,1028,-4636,-2507) -> Matrix(7,-2,4,-1) Matrix(759,410,2812,1519) -> Matrix(3,-2,2,-1) Matrix(227,122,988,531) -> Matrix(3,-2,-4,3) Matrix(951,506,1216,647) -> Matrix(5,-4,-6,5) Matrix(1901,1004,2736,1445) -> Matrix(13,-12,-40,37) Matrix(39,20,76,39) -> Matrix(3,-2,-4,3) Matrix(37,18,76,37) -> Matrix(1,-2,0,1) Matrix(1065,502,1292,609) -> Matrix(9,-10,-8,9) Matrix(911,428,1292,607) -> Matrix(5,-6,-4,5) Matrix(417,194,-1064,-495) -> Matrix(1,0,0,1) Matrix(2053,944,2812,1293) -> Matrix(1,-2,-2,5) Matrix(2167,994,2736,1255) -> Matrix(1,0,-2,1) Matrix(533,244,-1824,-835) -> Matrix(1,0,0,1) Matrix(645,292,2432,1101) -> Matrix(1,0,-2,1) Matrix(3343,1512,-8740,-3953) -> Matrix(11,-2,6,-1) Matrix(5509,2490,7144,3229) -> Matrix(7,-4,-12,7) Matrix(647,292,760,343) -> Matrix(5,-4,-6,5) Matrix(799,358,1444,647) -> Matrix(23,-22,-24,23) Matrix(797,356,1444,645) -> Matrix(21,-22,-20,21) Matrix(495,218,-1292,-569) -> Matrix(13,-18,8,-11) Matrix(419,184,608,267) -> Matrix(3,-4,-8,11) Matrix(229,100,-1216,-531) -> Matrix(3,-4,4,-5) Matrix(1369,596,1748,761) -> Matrix(1,-2,2,-3) Matrix(3269,1420,5776,2509) -> Matrix(21,-40,-32,61) Matrix(3267,1418,5776,2507) -> Matrix(19,-40,-28,59) Matrix(2319,1004,3952,1711) -> Matrix(3,-8,-4,11) Matrix(381,164,532,229) -> Matrix(1,-2,-2,5) Matrix(837,356,3040,1293) -> Matrix(1,0,-6,1) Matrix(2393,1016,-6536,-2775) -> Matrix(7,-4,2,-1) Matrix(417,176,988,417) -> Matrix(7,-6,-8,7) Matrix(191,80,456,191) -> Matrix(7,-8,-6,7) Matrix(949,394,-3572,-1483) -> Matrix(1,-2,2,-3) Matrix(13529,5608,23104,9577) -> Matrix(5,-8,-8,13) Matrix(13527,5606,23104,9575) -> Matrix(3,-8,-4,11) Matrix(1825,756,2204,913) -> Matrix(1,-2,0,1) Matrix(1103,456,-6156,-2545) -> Matrix(1,-2,2,-3) Matrix(2241,926,3952,1633) -> Matrix(5,-8,-8,13) Matrix(989,408,1292,533) -> Matrix(1,-2,0,1) Matrix(3307,1358,5092,2091) -> Matrix(7,-10,-16,23) Matrix(3611,1482,-12312,-5053) -> Matrix(13,-20,2,-3) Matrix(4523,1854,5472,2243) -> Matrix(5,-8,-8,13) Matrix(1445,592,1672,685) -> Matrix(5,-8,-8,13) Matrix(3421,1396,5776,2357) -> Matrix(29,-56,-44,85) Matrix(3419,1394,5776,2355) -> Matrix(27,-56,-40,83) Matrix(685,278,-2432,-987) -> Matrix(1,-4,0,1) Matrix(875,346,1444,571) -> Matrix(7,-6,-8,7) Matrix(873,344,1444,569) -> Matrix(5,-6,-4,5) Matrix(2167,850,2812,1103) -> Matrix(1,-2,0,1) Matrix(2165,846,-7296,-2851) -> Matrix(3,-4,-2,3) Matrix(913,356,-3116,-1215) -> Matrix(1,-2,2,-3) Matrix(191,74,-684,-265) -> Matrix(1,-2,0,1) Matrix(533,204,2584,989) -> Matrix(7,-12,-4,7) Matrix(8133,3112,11324,4333) -> Matrix(15,-26,-34,59) Matrix(10717,4100,25232,9653) -> Matrix(25,-44,-46,81) Matrix(3573,1364,5776,2205) -> Matrix(37,-72,-56,109) Matrix(3571,1362,5776,2203) -> Matrix(35,-72,-52,107) Matrix(305,116,-1596,-607) -> Matrix(1,-2,0,1) Matrix(1481,562,1900,721) -> Matrix(1,-2,0,1) Matrix(37,14,-304,-115) -> Matrix(1,0,0,1) Matrix(113,42,304,113) -> Matrix(1,-4,0,1) Matrix(419,154,1140,419) -> Matrix(1,-2,0,1) Matrix(797,292,3420,1253) -> Matrix(1,-2,0,1) Matrix(110771,40546,174724,63955) -> Matrix(1,-30,-2,61) Matrix(110769,40544,174724,63953) -> Matrix(1,30,-2,-59) Matrix(7181,2628,15884,5813) -> Matrix(1,2,-2,-3) Matrix(607,220,836,303) -> Matrix(1,-2,0,1) Matrix(949,342,1368,493) -> Matrix(1,-4,-2,9) Matrix(8323,2994,12996,4675) -> Matrix(1,-14,-2,29) Matrix(8321,2992,12996,4673) -> Matrix(1,14,-2,-27) Matrix(3419,1228,4864,1747) -> Matrix(1,0,-2,1) Matrix(229,82,1064,381) -> Matrix(1,0,-2,1) Matrix(3725,1324,5776,2053) -> Matrix(21,-40,-32,61) Matrix(3723,1322,5776,2051) -> Matrix(19,-40,-28,59) Matrix(1253,444,-5472,-1939) -> Matrix(3,-8,2,-5) Matrix(1065,374,-5624,-1975) -> Matrix(1,-8,2,-15) Matrix(3001,1052,5092,1785) -> Matrix(3,10,-4,-13) Matrix(265,92,-988,-343) -> Matrix(1,-2,0,1) Matrix(1291,410,1672,531) -> Matrix(1,-4,-2,9) Matrix(191,60,608,191) -> Matrix(1,4,0,1) Matrix(341,106,608,189) -> Matrix(3,4,-4,-5) Matrix(875,268,1368,419) -> Matrix(1,4,-2,-7) Matrix(4827,1474,5852,1787) -> Matrix(9,10,-10,-11) Matrix(1291,394,2736,835) -> Matrix(13,12,-12,-11) Matrix(1559,474,2128,647) -> Matrix(1,0,0,1) Matrix(2129,646,2508,761) -> Matrix(5,2,-8,-3) Matrix(4029,1220,5776,1749) -> Matrix(1,0,12,1) Matrix(4027,1218,5776,1747) -> Matrix(1,0,-16,1) Matrix(683,204,760,227) -> Matrix(1,0,-2,1) Matrix(1483,442,-8284,-2469) -> Matrix(1,2,0,1) Matrix(3117,926,4864,1445) -> Matrix(1,0,-2,1) Matrix(4599,1360,10412,3079) -> Matrix(17,-6,-14,5) Matrix(685,202,1292,381) -> Matrix(7,-6,-8,7) Matrix(10717,3142,13224,3877) -> Matrix(1,4,0,1) Matrix(1027,298,1444,419) -> Matrix(1,-6,-2,13) Matrix(1025,296,1444,417) -> Matrix(1,6,-2,-11) Matrix(303,86,532,151) -> Matrix(1,2,-2,-3) Matrix(6991,1970,11324,3191) -> Matrix(7,26,-10,-37) Matrix(2051,576,2432,683) -> Matrix(7,8,-8,-9) Matrix(4181,1156,5776,1597) -> Matrix(1,0,24,1) Matrix(4179,1154,5776,1595) -> Matrix(1,0,-28,1) Matrix(341,94,-1520,-419) -> Matrix(1,0,-6,1) Matrix(533,146,836,229) -> Matrix(3,-2,-4,3) Matrix(303,82,-2812,-761) -> Matrix(1,2,0,1) Matrix(1519,410,2812,759) -> Matrix(1,2,-2,-3) Matrix(16873,4552,23104,6233) -> Matrix(1,0,4,1) Matrix(16871,4550,23104,6231) -> Matrix(1,0,-8,1) Matrix(685,184,3116,837) -> Matrix(1,-2,-2,5) Matrix(1481,396,2128,569) -> Matrix(1,0,-4,1) Matrix(1101,292,2432,645) -> Matrix(1,0,-2,1) Matrix(341,90,1292,341) -> Matrix(1,-2,0,1) Matrix(39,10,152,39) -> Matrix(1,0,0,1) Matrix(1103,262,1444,343) -> Matrix(3,-2,-4,3) Matrix(1101,260,1444,341) -> Matrix(1,-2,0,1) Matrix(759,178,1292,303) -> Matrix(3,-2,-4,3) Matrix(1253,292,3420,797) -> Matrix(1,-2,0,1) Matrix(837,194,988,229) -> Matrix(3,-2,-4,3) Matrix(1709,392,2812,645) -> Matrix(3,-2,-4,3) Matrix(3915,896,7144,1635) -> Matrix(1,-4,0,1) Matrix(1141,260,1672,381) -> Matrix(1,4,-2,-7) Matrix(115,26,-836,-189) -> Matrix(1,2,0,1) Matrix(647,146,1520,343) -> Matrix(1,0,0,1) Matrix(1179,260,1900,419) -> Matrix(3,-2,-4,3) Matrix(10147,2226,12996,2851) -> Matrix(21,-10,-2,1) Matrix(10145,2224,12996,2849) -> Matrix(19,-10,2,-1) Matrix(569,124,1216,265) -> Matrix(3,-4,-2,3) Matrix(987,214,1748,379) -> Matrix(7,-2,-10,3) Matrix(381,82,1064,229) -> Matrix(1,0,-2,1) Matrix(113,24,532,113) -> Matrix(3,-2,-4,3) Matrix(191,40,912,191) -> Matrix(3,-4,-2,3) Matrix(1481,308,2736,569) -> Matrix(1,0,-2,1) Matrix(571,118,1292,267) -> Matrix(5,-6,-4,5) Matrix(9347,1772,13224,2507) -> Matrix(9,-4,-20,9) Matrix(1179,218,1444,267) -> Matrix(11,-10,-12,11) Matrix(1177,216,1444,265) -> Matrix(9,-10,-8,9) Matrix(2851,510,3192,571) -> Matrix(1,4,-2,-7) Matrix(2507,446,5548,987) -> Matrix(1,2,-2,-3) Matrix(683,120,1292,227) -> Matrix(11,-10,-12,11) Matrix(4065,712,5852,1025) -> Matrix(9,-10,-26,29) Matrix(3229,560,5472,949) -> Matrix(3,-8,-4,11) Matrix(1291,222,2204,379) -> Matrix(3,-2,-4,3) Matrix(37,6,228,37) -> Matrix(1,-2,0,1) Matrix(1749,274,2432,381) -> Matrix(7,-8,-20,23) Matrix(759,116,988,151) -> Matrix(1,-2,0,1) Matrix(1747,264,2508,379) -> Matrix(1,-2,-4,9) Matrix(417,62,760,113) -> Matrix(3,-4,-2,3) Matrix(987,134,1672,227) -> Matrix(3,-8,-4,11) Matrix(1255,166,1444,191) -> Matrix(3,-2,-4,3) Matrix(1253,164,1444,189) -> Matrix(1,-2,0,1) Matrix(2621,280,3192,341) -> Matrix(1,-4,-2,9) Matrix(533,54,760,77) -> Matrix(1,0,-2,1) Matrix(115,-14,304,-37) -> Matrix(1,0,0,1) Matrix(265,-34,304,-39) -> Matrix(3,4,-4,-5) Matrix(189,-26,836,-115) -> Matrix(1,2,0,1) Matrix(875,-136,1216,-189) -> Matrix(3,4,-10,-13) Matrix(1747,-302,2204,-381) -> Matrix(1,2,-2,-3) Matrix(1215,-212,1748,-305) -> Matrix(1,2,-4,-7) Matrix(835,-148,1292,-229) -> Matrix(5,2,-8,-3) Matrix(609,-110,836,-151) -> Matrix(1,2,-2,-3) Matrix(495,-92,608,-113) -> Matrix(5,4,-4,-3) Matrix(531,-100,1216,-229) -> Matrix(5,4,-4,-3) Matrix(569,-110,988,-191) -> Matrix(3,2,-2,-1) Matrix(1823,-378,2204,-457) -> Matrix(1,2,-2,-3) Matrix(2089,-456,2964,-647) -> Matrix(3,2,-2,-1) Matrix(2849,-624,3648,-799) -> Matrix(7,4,-2,-1) Matrix(419,-94,1520,-341) -> Matrix(1,0,-6,1) Matrix(569,-130,836,-191) -> Matrix(1,2,-2,-3) Matrix(3685,-844,4484,-1027) -> Matrix(1,2,-2,-3) Matrix(115,-28,152,-37) -> Matrix(1,0,0,1) Matrix(3421,-908,4864,-1291) -> Matrix(1,0,-2,1) Matrix(343,-92,988,-265) -> Matrix(1,-2,0,1) Matrix(2545,-684,4104,-1103) -> Matrix(1,4,-2,-7) Matrix(2887,-778,3952,-1065) -> Matrix(1,0,0,1) Matrix(685,-186,836,-227) -> Matrix(1,2,-2,-3) Matrix(989,-274,1368,-379) -> Matrix(1,0,-8,1) Matrix(265,-74,684,-191) -> Matrix(1,-2,0,1) Matrix(647,-188,912,-265) -> Matrix(1,4,-2,-7) Matrix(1977,-578,3116,-911) -> Matrix(1,2,-2,-3) Matrix(1215,-356,3116,-913) -> Matrix(3,2,-2,-1) Matrix(2317,-684,2964,-875) -> Matrix(3,2,-2,-1) Matrix(1217,-360,2052,-607) -> Matrix(5,2,-8,-3) Matrix(3573,-1060,4864,-1443) -> Matrix(1,0,-2,1) Matrix(343,-102,380,-113) -> Matrix(1,2,-2,-3) Matrix(531,-160,760,-229) -> Matrix(1,0,0,1) Matrix(1443,-440,1748,-533) -> Matrix(3,-2,-4,3) Matrix(645,-206,836,-267) -> Matrix(1,2,-2,-3) Matrix(761,-268,1292,-455) -> Matrix(3,10,-4,-13) Matrix(1063,-376,1292,-457) -> Matrix(1,2,0,1) Matrix(685,-244,1064,-379) -> Matrix(3,4,-4,-5) Matrix(4673,-1680,7296,-2623) -> Matrix(1,-4,-2,9) Matrix(2205,-806,3116,-1139) -> Matrix(1,2,-2,-3) Matrix(2775,-1016,6536,-2393) -> Matrix(1,4,-2,-7) Matrix(1975,-748,2812,-1065) -> Matrix(1,2,-2,-3) Matrix(3001,-1140,4104,-1559) -> Matrix(1,4,-2,-7) Matrix(2015,-766,3496,-1329) -> Matrix(3,8,-2,-5) Matrix(1597,-610,2584,-987) -> Matrix(19,36,-28,-53) Matrix(569,-218,1292,-495) -> Matrix(11,18,-8,-13) Matrix(835,-322,988,-381) -> Matrix(5,6,-6,-7) Matrix(5889,-2276,8360,-3231) -> Matrix(1,0,0,1) Matrix(3079,-1200,3800,-1481) -> Matrix(3,4,2,3) Matrix(1823,-712,3116,-1217) -> Matrix(5,6,-6,-7) Matrix(495,-194,1064,-417) -> Matrix(1,0,0,1) Matrix(645,-254,1064,-419) -> Matrix(7,8,-8,-9) Matrix(1445,-588,2052,-835) -> Matrix(1,2,0,1) Matrix(989,-404,1672,-683) -> Matrix(11,20,-16,-29) Matrix(2507,-1028,4636,-1901) -> Matrix(1,2,-4,-7) Matrix(837,-344,1292,-531) -> Matrix(7,10,-12,-17) Matrix(5433,-2246,7448,-3079) -> Matrix(3,4,-4,-5) Matrix(6231,-2582,10640,-4409) -> Matrix(3,4,-4,-5) Matrix(1899,-788,3116,-1293) -> Matrix(5,6,-6,-7) Matrix(797,-338,988,-419) -> Matrix(3,2,-2,-1) Matrix(14743,-6264,23256,-9881) -> Matrix(17,8,-32,-15) Matrix(1291,-560,2280,-989) -> Matrix(5,12,-8,-19) Matrix(3383,-1476,4788,-2089) -> Matrix(7,10,-12,-17) Matrix(3231,-1426,7144,-3153) -> Matrix(3,4,-10,-13) Matrix(419,-188,760,-341) -> Matrix(9,8,-8,-7) Matrix(531,-242,836,-381) -> Matrix(1,2,-2,-3) Matrix(2735,-1256,4636,-2129) -> Matrix(3,-2,-4,3) Matrix(647,-346,1064,-569) -> Matrix(1,0,0,1) Matrix(1291,-700,1824,-989) -> Matrix(1,0,0,1) Matrix(5397,-2956,8740,-4787) -> Matrix(7,-2,-10,3) Matrix(797,-446,1292,-723) -> Matrix(23,18,-32,-25) Matrix(987,-556,1216,-685) -> Matrix(5,4,-4,-3) Matrix(4143,-2384,6536,-3761) -> Matrix(1,4,-2,-7) Matrix(2623,-1534,3572,-2089) -> Matrix(3,2,-2,-1) Matrix(5053,-2964,6156,-3611) -> Matrix(3,2,-2,-1) Matrix(8701,-5130,12312,-7259) -> Matrix(27,20,-50,-37) Matrix(1747,-1038,2432,-1445) -> Matrix(7,4,-16,-9) Matrix(5131,-3126,7296,-4445) -> Matrix(5,4,-14,-11) Matrix(2203,-1344,3116,-1901) -> Matrix(3,2,-2,-1) Matrix(493,-302,684,-419) -> Matrix(3,2,-8,-5) Matrix(1291,-800,1596,-989) -> Matrix(3,2,-8,-5) Matrix(267,-166,304,-189) -> Matrix(1,0,0,1) Matrix(4219,-2724,5472,-3533) -> Matrix(13,8,-18,-11) Matrix(4559,-2958,5624,-3649) -> Matrix(15,8,-2,-1) Matrix(723,-472,988,-645) -> Matrix(3,2,-8,-5) Matrix(6801,-4774,8284,-5815) -> Matrix(5,2,-8,-3) Matrix(1179,-854,1520,-1101) -> Matrix(1,0,-6,1) Matrix(2509,-1830,2812,-2051) -> Matrix(5,2,-8,-3) Matrix(721,-558,836,-647) -> Matrix(5,2,-8,-3) 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): 120 Degree of the the map X: 120 Degree of the the map Y: 360 ----------------------------------------------------------------------- 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): 1080 Minimal number of generators: 181 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: 54 Genus: 64 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 1/8 2/15 1/7 3/20 2/13 3/19 1/6 3/17 5/28 2/11 3/16 1/5 5/24 4/19 3/14 7/32 2/9 5/22 7/30 1/4 5/19 9/34 7/26 5/18 3/10 11/36 6/19 1/3 7/19 5/12 8/19 9/19 1/2 21/38 43/76 89/152 45/76 23/38 47/76 265/418 73/114 49/76 37/57 53/76 27/38 55/76 111/152 29/38 89/114 31/38 33/38 17/19 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES 0/1 1/0 1/8 -2/1 2/15 1/0 1/7 1/0 3/20 0/1 5/33 -7/4 2/13 -3/2 3/19 -1/1 1/6 -1/1 5/29 -3/2 4/23 1/0 3/17 -1/2 5/28 0/1 2/11 -3/2 3/16 -2/3 4/21 -1/4 1/5 1/0 6/29 -1/2 5/24 -2/1 4/19 -1/1 3/14 -1/1 8/37 -1/2 5/23 1/0 7/32 -2/3 9/41 -1/2 2/9 -1/4 7/31 1/0 12/53 1/0 5/22 1/1 8/35 1/0 11/48 -2/1 3/13 1/0 10/43 1/2 7/30 -1/1 4/17 1/0 1/4 0/1 5/19 1/0 9/34 -1/1 13/49 -1/2 4/15 1/0 11/41 1/0 7/26 -1/1 17/63 1/2 10/37 1/0 3/11 -1/2 11/40 -2/7 19/69 -1/6 8/29 -1/10 5/18 1/3 2/7 1/0 7/24 -2/1 12/41 1/0 5/17 -3/2 13/44 0/1 8/27 1/2 19/64 2/1 11/37 1/0 3/10 -1/1 10/33 1/6 17/56 2/5 7/23 1/2 11/36 4/3 4/13 1/0 5/16 2/1 6/19 1/0 1/3 1/0 8/23 1/0 7/20 0/1 6/17 1/0 11/31 -9/4 5/14 -1/1 14/39 1/0 23/64 2/1 9/25 1/0 13/36 -8/3 4/11 1/0 15/41 1/0 26/71 -5/2 11/30 -1/1 7/19 1/0 3/8 -2/1 14/37 1/0 11/29 -5/2 19/50 -3/1 8/21 -9/4 13/34 -9/5 5/13 -3/2 17/44 0/1 29/75 1/0 12/31 1/0 7/18 -5/3 23/59 -5/4 16/41 -3/2 9/23 -3/2 11/28 -4/3 2/5 1/0 11/27 -9/4 9/22 -5/3 25/61 -3/2 16/39 -3/2 7/17 -3/2 19/46 -1/1 31/75 -3/2 12/29 -5/4 29/70 -1/1 17/41 -3/2 5/12 -4/3 8/19 -1/1 11/26 -1/1 14/33 -3/4 31/73 -1/2 48/113 -1/2 17/40 -2/5 3/7 1/0 16/37 1/0 13/30 -3/1 10/23 -7/4 17/39 -3/2 24/55 -11/8 7/16 -2/1 11/25 -3/2 15/34 -9/7 34/77 -5/4 19/43 -5/4 4/9 -7/6 9/20 -4/5 14/31 -3/4 33/73 -1/2 52/115 -1/2 19/42 -1/1 5/11 1/0 11/24 -2/1 17/37 1/0 6/13 -3/2 13/28 -4/3 7/15 -3/2 8/17 -9/8 9/19 -1/1 1/2 -1/1 10/19 -1/1 9/17 -9/10 8/15 -3/4 7/13 -3/4 20/37 -1/2 33/61 -1/2 13/24 -2/3 6/11 -1/2 23/42 -1/1 40/73 1/0 17/31 -3/2 11/20 -4/3 16/29 -15/14 21/38 -1/1 5/9 -7/8 14/25 -3/4 9/16 -2/3 22/39 -3/4 13/23 -7/10 43/76 -2/3 30/53 -13/20 17/30 -3/5 21/37 -1/2 4/7 -1/2 23/40 2/1 19/33 -3/2 34/59 -5/2 15/26 -1/1 11/19 -1/1 7/12 -4/5 31/53 -3/4 24/41 -3/4 89/152 -2/3 65/111 -1/2 41/70 -1/1 17/29 -5/6 44/75 -3/4 27/46 -1/1 10/17 -3/4 33/56 -10/13 56/95 -3/4 23/39 -3/4 59/100 -8/11 36/61 -3/4 13/22 -5/7 29/49 -19/28 45/76 -2/3 16/27 -9/14 19/32 -2/3 3/5 -1/2 23/38 -1/1 20/33 -7/8 17/28 -4/5 31/51 -3/4 14/23 -3/4 39/64 -2/3 25/41 -3/4 11/18 -5/7 8/13 -3/4 29/47 -17/24 50/81 -7/10 71/115 -7/10 92/149 -7/10 21/34 -9/13 34/55 -27/40 47/76 -2/3 13/21 -9/14 31/50 -3/5 49/79 -1/2 18/29 -5/8 5/8 -2/3 12/19 -1/2 19/30 -1/1 45/71 -5/8 71/112 -6/11 168/265 -1/2 265/418 -1/2 97/153 -1/2 26/41 -1/2 33/52 0/1 7/11 -1/2 23/36 -8/13 16/25 -1/2 73/114 -1/2 57/89 -1/2 41/64 -2/5 25/39 -1/2 9/14 -1/1 29/45 -11/16 49/76 -2/3 20/31 -9/14 31/48 -2/3 11/17 -1/2 24/37 -1/2 37/57 -1/2 13/20 0/1 2/3 -1/2 15/22 -3/5 13/19 -1/2 11/16 -2/5 9/13 -1/2 25/36 -4/11 66/95 -1/3 41/59 -3/10 16/23 -1/4 39/56 -2/9 23/33 -1/8 53/76 0/1 30/43 1/6 7/10 -1/1 40/57 -1/2 33/47 -1/4 26/37 -1/2 45/64 -2/5 64/91 -1/2 19/27 -1/4 50/71 1/0 81/115 1/0 31/44 0/1 43/61 -3/2 12/17 -3/4 53/75 -1/2 94/133 -1/2 41/58 -1/3 29/41 -1/2 46/65 -1/2 17/24 -2/3 22/31 -1/2 27/38 -1/2 5/7 -1/2 28/39 -1/2 51/71 -1/2 23/32 -2/5 41/57 -1/3 18/25 -1/4 13/18 -1/5 34/47 -1/18 55/76 0/1 21/29 1/8 29/40 2/3 8/11 1/0 35/48 -2/3 62/85 1/0 27/37 -1/2 46/63 -1/4 111/152 0/1 65/89 1/2 19/26 -1/1 49/67 -3/4 30/41 -1/2 41/56 -2/5 11/15 -1/2 47/64 -2/3 36/49 1/0 25/34 -1/1 14/19 -1/2 3/4 0/1 16/21 1/0 29/38 -1/1 13/17 -1/2 23/30 -1/1 33/43 -1/4 10/13 -1/2 37/48 -2/3 64/83 -5/8 27/35 -1/2 44/57 -1/2 17/22 -1/3 24/31 -1/2 31/40 -2/9 7/9 1/2 32/41 1/0 89/114 1/0 57/73 1/0 25/32 -2/1 43/55 -5/4 18/23 -1/2 29/37 1/0 11/14 -1/1 15/19 -1/1 19/24 -2/3 42/53 -1/2 23/29 1/0 4/5 -1/2 21/26 -1/1 17/21 1/2 47/58 3/1 77/95 1/0 30/37 1/0 13/16 -2/1 22/27 -7/6 31/38 -1/1 9/11 -3/4 32/39 -1/2 55/67 -3/4 78/95 -1/2 23/28 0/1 60/73 -1/2 37/45 -1/4 14/17 1/0 47/57 -1/1 33/40 -6/7 19/23 -1/2 43/52 0/1 24/29 -3/4 5/6 -1/1 16/19 -1/1 27/32 -6/7 11/13 -3/4 28/33 -7/10 17/20 0/1 6/7 -1/2 19/22 -1/1 13/15 -1/2 33/38 -1/1 20/23 -3/4 7/8 -2/3 8/9 -5/8 25/28 -4/7 17/19 -1/2 9/10 -1/1 1/1 -1/2 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(115,-14,304,-37) (0/1,1/8) -> (3/8,14/37) Hyperbolic Matrix(265,-34,304,-39) (1/8,2/15) -> (20/23,7/8) Hyperbolic Matrix(189,-26,836,-115) (2/15,1/7) -> (7/31,12/53) Hyperbolic Matrix(343,-51,760,-113) (1/7,3/20) -> (9/20,14/31) Hyperbolic Matrix(761,-115,2508,-379) (3/20,5/33) -> (10/33,17/56) Hyperbolic Matrix(229,-35,988,-151) (5/33,2/13) -> (3/13,10/43) Hyperbolic Matrix(875,-136,1216,-189) (2/13,3/19) -> (41/57,18/25) Hyperbolic Matrix(191,-31,228,-37) (3/19,1/6) -> (5/6,16/19) Hyperbolic Matrix(913,-157,2204,-379) (1/6,5/29) -> (12/29,29/70) Hyperbolic Matrix(1747,-302,2204,-381) (5/29,4/23) -> (42/53,23/29) Hyperbolic Matrix(1215,-212,1748,-305) (4/23,3/17) -> (41/59,16/23) Hyperbolic Matrix(835,-148,1292,-229) (3/17,5/28) -> (31/48,11/17) Hyperbolic Matrix(609,-110,836,-151) (5/28,2/11) -> (8/11,35/48) Hyperbolic Matrix(495,-92,608,-113) (2/11,3/16) -> (13/16,22/27) Hyperbolic Matrix(531,-100,1216,-229) (3/16,4/21) -> (24/55,7/16) Hyperbolic Matrix(569,-110,988,-191) (4/21,1/5) -> (19/33,34/59) Hyperbolic Matrix(1595,-329,2584,-533) (1/5,6/29) -> (29/47,50/81) Hyperbolic Matrix(1823,-378,2204,-457) (6/29,5/24) -> (43/52,24/29) Hyperbolic Matrix(721,-151,912,-191) (5/24,4/19) -> (15/19,19/24) Hyperbolic Matrix(419,-89,532,-113) (4/19,3/14) -> (11/14,15/19) Hyperbolic Matrix(683,-147,1064,-229) (3/14,8/37) -> (25/39,9/14) Hyperbolic Matrix(761,-165,1748,-379) (8/37,5/23) -> (10/23,17/39) Hyperbolic Matrix(2089,-456,2964,-647) (5/23,7/32) -> (31/44,43/61) Hyperbolic Matrix(2849,-624,3648,-799) (7/32,9/41) -> (57/73,25/32) Hyperbolic Matrix(2279,-501,3116,-685) (9/41,2/9) -> (49/67,30/41) Hyperbolic Matrix(419,-94,1520,-341) (2/9,7/31) -> (19/69,8/29) Hyperbolic Matrix(1027,-233,2508,-569) (12/53,5/22) -> (9/22,25/61) Hyperbolic Matrix(569,-130,836,-191) (5/22,8/35) -> (2/3,15/22) Hyperbolic Matrix(3685,-844,4484,-1027) (8/35,11/48) -> (23/28,60/73) Hyperbolic Matrix(457,-105,988,-227) (11/48,3/13) -> (6/13,13/28) Hyperbolic Matrix(2167,-505,3420,-797) (10/43,7/30) -> (19/30,45/71) Hyperbolic Matrix(533,-125,1292,-303) (7/30,4/17) -> (7/17,19/46) Hyperbolic Matrix(115,-28,152,-37) (4/17,1/4) -> (3/4,16/21) Hyperbolic Matrix(113,-29,152,-39) (1/4,5/19) -> (14/19,3/4) Hyperbolic Matrix(951,-251,1292,-341) (5/19,9/34) -> (25/34,14/19) Hyperbolic Matrix(1331,-353,2432,-645) (9/34,13/49) -> (6/11,23/42) Hyperbolic Matrix(3421,-908,4864,-1291) (13/49,4/15) -> (64/91,19/27) Hyperbolic Matrix(343,-92,988,-265) (4/15,11/41) -> (1/3,8/23) Hyperbolic Matrix(2545,-684,4104,-1103) (11/41,7/26) -> (31/50,49/79) Hyperbolic Matrix(2887,-778,3952,-1065) (7/26,17/63) -> (65/89,19/26) Hyperbolic Matrix(1293,-349,2812,-759) (17/63,10/37) -> (17/37,6/13) Hyperbolic Matrix(685,-186,836,-227) (10/37,3/11) -> (9/11,32/39) Hyperbolic Matrix(303,-83,836,-229) (3/11,11/40) -> (13/36,4/11) Hyperbolic Matrix(1747,-481,3040,-837) (11/40,19/69) -> (4/7,23/40) Hyperbolic Matrix(989,-274,1368,-379) (8/29,5/18) -> (13/18,34/47) Hyperbolic Matrix(265,-74,684,-191) (5/18,2/7) -> (12/31,7/18) Hyperbolic Matrix(647,-188,912,-265) (2/7,7/24) -> (17/24,22/31) Hyperbolic Matrix(1977,-578,3116,-911) (7/24,12/41) -> (26/41,33/52) Hyperbolic Matrix(1215,-356,3116,-913) (12/41,5/17) -> (23/59,16/41) Hyperbolic Matrix(2317,-684,2964,-875) (5/17,13/44) -> (25/32,43/55) Hyperbolic Matrix(1217,-360,2052,-607) (13/44,8/27) -> (16/27,19/32) Hyperbolic Matrix(3573,-1060,4864,-1443) (8/27,19/64) -> (47/64,36/49) Hyperbolic Matrix(1747,-519,4864,-1445) (19/64,11/37) -> (14/39,23/64) Hyperbolic Matrix(343,-102,380,-113) (11/37,3/10) -> (9/10,1/1) Hyperbolic Matrix(531,-160,760,-229) (3/10,10/33) -> (30/43,7/10) Hyperbolic Matrix(609,-185,1748,-531) (17/56,7/23) -> (8/23,7/20) Hyperbolic Matrix(1443,-440,1748,-533) (7/23,11/36) -> (33/40,19/23) Hyperbolic Matrix(493,-151,1368,-419) (11/36,4/13) -> (9/25,13/36) Hyperbolic Matrix(267,-83,608,-189) (4/13,5/16) -> (7/16,11/25) Hyperbolic Matrix(417,-131,608,-191) (5/16,6/19) -> (13/19,11/16) Hyperbolic Matrix(645,-206,836,-267) (6/19,1/3) -> (27/35,44/57) Hyperbolic Matrix(761,-268,1292,-455) (7/20,6/17) -> (10/17,33/56) Hyperbolic Matrix(1063,-376,1292,-457) (6/17,11/31) -> (37/45,14/17) Hyperbolic Matrix(685,-244,1064,-379) (11/31,5/14) -> (9/14,29/45) Hyperbolic Matrix(835,-299,1064,-381) (5/14,14/39) -> (29/37,11/14) Hyperbolic Matrix(4673,-1680,7296,-2623) (23/64,9/25) -> (57/89,41/64) Hyperbolic Matrix(2205,-806,3116,-1139) (4/11,15/41) -> (29/41,46/65) Hyperbolic Matrix(2775,-1016,6536,-2393) (15/41,26/71) -> (14/33,31/73) Hyperbolic Matrix(2623,-961,3420,-1253) (26/71,11/30) -> (23/30,33/43) Hyperbolic Matrix(721,-265,1140,-419) (11/30,7/19) -> (12/19,19/30) Hyperbolic Matrix(191,-71,304,-113) (7/19,3/8) -> (5/8,12/19) Hyperbolic Matrix(1975,-748,2812,-1065) (14/37,11/29) -> (33/47,26/37) Hyperbolic Matrix(3001,-1140,4104,-1559) (11/29,19/50) -> (19/26,49/67) Hyperbolic Matrix(2015,-766,3496,-1329) (19/50,8/21) -> (34/59,15/26) Hyperbolic Matrix(1597,-610,2584,-987) (8/21,13/34) -> (21/34,34/55) Hyperbolic Matrix(569,-218,1292,-495) (13/34,5/13) -> (11/25,15/34) Hyperbolic Matrix(835,-322,988,-381) (5/13,17/44) -> (27/32,11/13) Hyperbolic Matrix(5889,-2276,8360,-3231) (17/44,29/75) -> (81/115,31/44) Hyperbolic Matrix(721,-279,1672,-647) (29/75,12/31) -> (3/7,16/37) Hyperbolic Matrix(3079,-1200,3800,-1481) (7/18,23/59) -> (17/21,47/58) Hyperbolic Matrix(1823,-712,3116,-1217) (16/41,9/23) -> (31/53,24/41) Hyperbolic Matrix(495,-194,1064,-417) (9/23,11/28) -> (13/28,7/15) Hyperbolic Matrix(645,-254,1064,-419) (11/28,2/5) -> (20/33,17/28) Hyperbolic Matrix(1445,-588,2052,-835) (2/5,11/27) -> (19/27,50/71) Hyperbolic Matrix(989,-404,1672,-683) (11/27,9/22) -> (13/22,29/49) Hyperbolic Matrix(2507,-1028,4636,-1901) (25/61,16/39) -> (20/37,33/61) Hyperbolic Matrix(837,-344,1292,-531) (16/39,7/17) -> (11/17,24/37) Hyperbolic Matrix(1711,-707,3952,-1633) (19/46,31/75) -> (16/37,13/30) Hyperbolic Matrix(5433,-2246,7448,-3079) (31/75,12/29) -> (62/85,27/37) Hyperbolic Matrix(6231,-2582,10640,-4409) (29/70,17/41) -> (65/111,41/70) Hyperbolic Matrix(1899,-788,3116,-1293) (17/41,5/12) -> (39/64,25/41) Hyperbolic Matrix(265,-111,456,-191) (5/12,8/19) -> (11/19,7/12) Hyperbolic Matrix(571,-241,988,-417) (8/19,11/26) -> (15/26,11/19) Hyperbolic Matrix(797,-338,988,-419) (11/26,14/33) -> (4/5,21/26) Hyperbolic Matrix(15579,-6617,25232,-10717) (31/73,48/113) -> (71/115,92/149) Hyperbolic Matrix(14743,-6264,23256,-9881) (48/113,17/40) -> (71/112,168/265) Hyperbolic Matrix(1177,-501,1520,-647) (17/40,3/7) -> (24/31,31/40) Hyperbolic Matrix(1291,-560,2280,-989) (13/30,10/23) -> (30/53,17/30) Hyperbolic Matrix(3383,-1476,4788,-2089) (17/39,24/55) -> (12/17,53/75) Hyperbolic Matrix(3231,-1426,7144,-3153) (15/34,34/77) -> (52/115,19/42) Hyperbolic Matrix(7333,-3239,10412,-4599) (34/77,19/43) -> (50/71,81/115) Hyperbolic Matrix(1025,-453,1292,-571) (19/43,4/9) -> (23/29,4/5) Hyperbolic Matrix(419,-188,760,-341) (4/9,9/20) -> (11/20,16/29) Hyperbolic Matrix(4561,-2061,5548,-2507) (14/31,33/73) -> (60/73,37/45) Hyperbolic Matrix(10071,-4553,15884,-7181) (33/73,52/115) -> (97/153,26/41) Hyperbolic Matrix(1787,-809,2432,-1101) (19/42,5/11) -> (36/49,25/34) Hyperbolic Matrix(531,-242,836,-381) (5/11,11/24) -> (33/52,7/11) Hyperbolic Matrix(2735,-1256,4636,-2129) (11/24,17/37) -> (23/39,59/100) Hyperbolic Matrix(951,-445,1216,-569) (7/15,8/17) -> (43/55,18/23) Hyperbolic Matrix(1901,-897,2736,-1291) (8/17,9/19) -> (66/95,41/59) Hyperbolic Matrix(39,-19,76,-37) (9/19,1/2) -> (1/2,10/19) Parabolic Matrix(1065,-563,1292,-683) (10/19,9/17) -> (14/17,47/57) Hyperbolic Matrix(911,-483,1292,-685) (9/17,8/15) -> (43/61,12/17) Hyperbolic Matrix(647,-346,1064,-569) (8/15,7/13) -> (31/51,14/23) Hyperbolic Matrix(2053,-1109,2812,-1519) (7/13,20/37) -> (27/37,46/63) Hyperbolic Matrix(2167,-1173,2736,-1481) (33/61,13/24) -> (19/24,42/53) Hyperbolic Matrix(1291,-700,1824,-989) (13/24,6/11) -> (46/65,17/24) Hyperbolic Matrix(5397,-2956,8740,-4787) (23/42,40/73) -> (92/149,21/34) Hyperbolic Matrix(5509,-3019,7144,-3915) (40/73,17/31) -> (64/83,27/35) Hyperbolic Matrix(647,-355,760,-417) (17/31,11/20) -> (17/20,6/7) Hyperbolic Matrix(799,-441,1444,-797) (16/29,21/38) -> (21/38,5/9) Parabolic Matrix(797,-446,1292,-723) (5/9,14/25) -> (8/13,29/47) Hyperbolic Matrix(419,-235,608,-341) (14/25,9/16) -> (11/16,9/13) Hyperbolic Matrix(987,-556,1216,-685) (9/16,22/39) -> (30/37,13/16) Hyperbolic Matrix(1369,-773,1748,-987) (22/39,13/23) -> (18/23,29/37) Hyperbolic Matrix(3269,-1849,5776,-3267) (13/23,43/76) -> (43/76,30/53) Parabolic Matrix(2319,-1315,3952,-2241) (17/30,21/37) -> (44/75,27/46) Hyperbolic Matrix(381,-217,532,-303) (21/37,4/7) -> (5/7,28/39) Hyperbolic Matrix(4143,-2384,6536,-3761) (23/40,19/33) -> (45/71,71/112) Hyperbolic Matrix(2623,-1534,3572,-2089) (7/12,31/53) -> (11/15,47/64) Hyperbolic Matrix(13529,-7921,23104,-13527) (24/41,89/152) -> (89/152,65/111) Parabolic Matrix(1825,-1069,2204,-1291) (41/70,17/29) -> (24/29,5/6) Hyperbolic Matrix(5053,-2964,6156,-3611) (17/29,44/75) -> (32/39,55/67) Hyperbolic Matrix(989,-581,1292,-759) (27/46,10/17) -> (13/17,23/30) Hyperbolic Matrix(3307,-1949,5092,-3001) (33/56,56/95) -> (37/57,13/20) Hyperbolic Matrix(8701,-5130,12312,-7259) (56/95,23/39) -> (53/75,94/133) Hyperbolic Matrix(4523,-2669,5472,-3229) (59/100,36/61) -> (19/23,43/52) Hyperbolic Matrix(1445,-853,1672,-987) (36/61,13/22) -> (19/22,13/15) Hyperbolic Matrix(3421,-2025,5776,-3419) (29/49,45/76) -> (45/76,16/27) Parabolic Matrix(1747,-1038,2432,-1445) (19/32,3/5) -> (51/71,23/32) Hyperbolic Matrix(875,-529,1444,-873) (3/5,23/38) -> (23/38,20/33) Parabolic Matrix(2167,-1317,2812,-1709) (17/28,31/51) -> (10/13,37/48) Hyperbolic Matrix(5131,-3126,7296,-4445) (14/23,39/64) -> (45/64,64/91) Hyperbolic Matrix(2203,-1344,3116,-1901) (25/41,11/18) -> (41/58,29/41) Hyperbolic Matrix(493,-302,684,-419) (11/18,8/13) -> (18/25,13/18) Hyperbolic Matrix(8133,-5021,11324,-6991) (50/81,71/115) -> (28/39,51/71) Hyperbolic Matrix(3573,-2209,5776,-3571) (34/55,47/76) -> (47/76,13/21) Parabolic Matrix(1291,-800,1596,-989) (13/21,31/50) -> (21/26,17/21) Hyperbolic Matrix(1481,-919,1900,-1179) (49/79,18/29) -> (7/9,32/41) Hyperbolic Matrix(267,-166,304,-189) (18/29,5/8) -> (7/8,8/9) Hyperbolic Matrix(110771,-70225,174724,-110769) (168/265,265/418) -> (265/418,97/153) Parabolic Matrix(607,-387,836,-533) (7/11,23/36) -> (29/40,8/11) Hyperbolic Matrix(949,-607,1368,-875) (23/36,16/25) -> (9/13,25/36) Hyperbolic Matrix(8323,-5329,12996,-8321) (16/25,73/114) -> (73/114,57/89) Parabolic Matrix(3419,-2191,4864,-3117) (41/64,25/39) -> (26/37,45/64) Hyperbolic Matrix(3725,-2401,5776,-3723) (29/45,49/76) -> (49/76,20/31) Parabolic Matrix(4219,-2724,5472,-3533) (20/31,31/48) -> (37/48,64/83) Hyperbolic Matrix(4559,-2958,5624,-3649) (24/37,37/57) -> (77/95,30/37) Hyperbolic Matrix(723,-472,988,-645) (13/20,2/3) -> (30/41,41/56) Hyperbolic Matrix(1291,-881,1672,-1141) (15/22,13/19) -> (44/57,17/22) Hyperbolic Matrix(4827,-3353,5852,-4065) (25/36,66/95) -> (47/57,33/40) Hyperbolic Matrix(1559,-1085,2128,-1481) (16/23,39/56) -> (41/56,11/15) Hyperbolic Matrix(2129,-1483,2508,-1747) (39/56,23/33) -> (28/33,17/20) Hyperbolic Matrix(4029,-2809,5776,-4027) (23/33,53/76) -> (53/76,30/43) Parabolic Matrix(683,-479,760,-533) (7/10,40/57) -> (17/19,9/10) Hyperbolic Matrix(6801,-4774,8284,-5815) (40/57,33/47) -> (55/67,78/95) Hyperbolic Matrix(10717,-7575,13224,-9347) (94/133,41/58) -> (47/58,77/95) Hyperbolic Matrix(1027,-729,1444,-1025) (22/31,27/38) -> (27/38,5/7) Parabolic Matrix(2051,-1475,2432,-1749) (23/32,41/57) -> (16/19,27/32) Hyperbolic Matrix(4181,-3025,5776,-4179) (34/47,55/76) -> (55/76,21/29) Parabolic Matrix(1179,-854,1520,-1101) (21/29,29/40) -> (31/40,7/9) Hyperbolic Matrix(2509,-1830,2812,-2051) (35/48,62/85) -> (8/9,25/28) Hyperbolic Matrix(16873,-12321,23104,-16871) (46/63,111/152) -> (111/152,65/89) Parabolic Matrix(1103,-841,1444,-1101) (16/21,29/38) -> (29/38,13/17) Parabolic Matrix(837,-643,988,-759) (33/43,10/13) -> (11/13,28/33) Hyperbolic Matrix(721,-558,836,-647) (17/22,24/31) -> (6/7,19/22) Hyperbolic Matrix(10147,-7921,12996,-10145) (32/41,89/114) -> (89/114,57/73) Parabolic Matrix(1179,-961,1444,-1177) (22/27,31/38) -> (31/38,9/11) Parabolic Matrix(2851,-2341,3192,-2621) (78/95,23/28) -> (25/28,17/19) Hyperbolic Matrix(1255,-1089,1444,-1253) (13/15,33/38) -> (33/38,20/23) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,1,0,1) -> Matrix(1,0,-2,1) Matrix(115,-14,304,-37) -> Matrix(1,0,0,1) Matrix(265,-34,304,-39) -> Matrix(3,4,-4,-5) Matrix(189,-26,836,-115) -> Matrix(1,2,0,1) Matrix(343,-51,760,-113) -> Matrix(3,4,-4,-5) Matrix(761,-115,2508,-379) -> Matrix(1,2,2,5) Matrix(229,-35,988,-151) -> Matrix(1,2,-2,-3) Matrix(875,-136,1216,-189) -> Matrix(3,4,-10,-13) Matrix(191,-31,228,-37) -> Matrix(1,2,-2,-3) Matrix(913,-157,2204,-379) -> Matrix(3,2,-2,-1) Matrix(1747,-302,2204,-381) -> Matrix(1,2,-2,-3) Matrix(1215,-212,1748,-305) -> Matrix(1,2,-4,-7) Matrix(835,-148,1292,-229) -> Matrix(5,2,-8,-3) Matrix(609,-110,836,-151) -> Matrix(1,2,-2,-3) Matrix(495,-92,608,-113) -> Matrix(5,4,-4,-3) Matrix(531,-100,1216,-229) -> Matrix(5,4,-4,-3) Matrix(569,-110,988,-191) -> Matrix(3,2,-2,-1) Matrix(1595,-329,2584,-533) -> Matrix(7,12,-10,-17) Matrix(1823,-378,2204,-457) -> Matrix(1,2,-2,-3) Matrix(721,-151,912,-191) -> Matrix(3,4,-4,-5) Matrix(419,-89,532,-113) -> Matrix(3,2,-2,-1) Matrix(683,-147,1064,-229) -> Matrix(1,0,0,1) Matrix(761,-165,1748,-379) -> Matrix(7,2,-4,-1) Matrix(2089,-456,2964,-647) -> Matrix(3,2,-2,-1) Matrix(2849,-624,3648,-799) -> Matrix(7,4,-2,-1) Matrix(2279,-501,3116,-685) -> Matrix(5,2,-8,-3) Matrix(419,-94,1520,-341) -> Matrix(1,0,-6,1) Matrix(1027,-233,2508,-569) -> Matrix(3,2,-2,-1) Matrix(569,-130,836,-191) -> Matrix(1,2,-2,-3) Matrix(3685,-844,4484,-1027) -> Matrix(1,2,-2,-3) Matrix(457,-105,988,-227) -> Matrix(3,2,-2,-1) Matrix(2167,-505,3420,-797) -> Matrix(1,2,-2,-3) Matrix(533,-125,1292,-303) -> Matrix(3,2,-2,-1) Matrix(115,-28,152,-37) -> Matrix(1,0,0,1) Matrix(113,-29,152,-39) -> Matrix(1,0,-2,1) Matrix(951,-251,1292,-341) -> Matrix(1,2,-2,-3) Matrix(1331,-353,2432,-645) -> Matrix(1,0,0,1) Matrix(3421,-908,4864,-1291) -> Matrix(1,0,-2,1) Matrix(343,-92,988,-265) -> Matrix(1,-2,0,1) Matrix(2545,-684,4104,-1103) -> Matrix(1,4,-2,-7) Matrix(2887,-778,3952,-1065) -> Matrix(1,0,0,1) Matrix(1293,-349,2812,-759) -> Matrix(1,-2,0,1) Matrix(685,-186,836,-227) -> Matrix(1,2,-2,-3) Matrix(303,-83,836,-229) -> Matrix(3,2,-2,-1) Matrix(1747,-481,3040,-837) -> Matrix(1,0,4,1) Matrix(989,-274,1368,-379) -> Matrix(1,0,-8,1) Matrix(265,-74,684,-191) -> Matrix(1,-2,0,1) Matrix(647,-188,912,-265) -> Matrix(1,4,-2,-7) Matrix(1977,-578,3116,-911) -> Matrix(1,2,-2,-3) Matrix(1215,-356,3116,-913) -> Matrix(3,2,-2,-1) Matrix(2317,-684,2964,-875) -> Matrix(3,2,-2,-1) Matrix(1217,-360,2052,-607) -> Matrix(5,2,-8,-3) Matrix(3573,-1060,4864,-1443) -> Matrix(1,0,-2,1) Matrix(1747,-519,4864,-1445) -> Matrix(1,0,0,1) Matrix(343,-102,380,-113) -> Matrix(1,2,-2,-3) Matrix(531,-160,760,-229) -> Matrix(1,0,0,1) Matrix(609,-185,1748,-531) -> Matrix(5,-2,-2,1) Matrix(1443,-440,1748,-533) -> Matrix(3,-2,-4,3) Matrix(493,-151,1368,-419) -> Matrix(1,-4,0,1) Matrix(267,-83,608,-189) -> Matrix(3,-4,-2,3) Matrix(417,-131,608,-191) -> Matrix(1,-4,-2,9) Matrix(645,-206,836,-267) -> Matrix(1,2,-2,-3) Matrix(761,-268,1292,-455) -> Matrix(3,10,-4,-13) Matrix(1063,-376,1292,-457) -> Matrix(1,2,0,1) Matrix(685,-244,1064,-379) -> Matrix(3,4,-4,-5) Matrix(835,-299,1064,-381) -> Matrix(1,0,0,1) Matrix(4673,-1680,7296,-2623) -> Matrix(1,-4,-2,9) Matrix(2205,-806,3116,-1139) -> Matrix(1,2,-2,-3) Matrix(2775,-1016,6536,-2393) -> Matrix(1,4,-2,-7) Matrix(2623,-961,3420,-1253) -> Matrix(1,2,-2,-3) Matrix(721,-265,1140,-419) -> Matrix(1,2,-2,-3) Matrix(191,-71,304,-113) -> Matrix(1,4,-2,-7) Matrix(1975,-748,2812,-1065) -> Matrix(1,2,-2,-3) Matrix(3001,-1140,4104,-1559) -> Matrix(1,4,-2,-7) Matrix(2015,-766,3496,-1329) -> Matrix(3,8,-2,-5) Matrix(1597,-610,2584,-987) -> Matrix(19,36,-28,-53) Matrix(569,-218,1292,-495) -> Matrix(11,18,-8,-13) Matrix(835,-322,988,-381) -> Matrix(5,6,-6,-7) Matrix(5889,-2276,8360,-3231) -> Matrix(1,0,0,1) Matrix(721,-279,1672,-647) -> Matrix(1,0,0,1) Matrix(3079,-1200,3800,-1481) -> Matrix(3,4,2,3) Matrix(1823,-712,3116,-1217) -> Matrix(5,6,-6,-7) Matrix(495,-194,1064,-417) -> Matrix(1,0,0,1) Matrix(645,-254,1064,-419) -> Matrix(7,8,-8,-9) Matrix(1445,-588,2052,-835) -> Matrix(1,2,0,1) Matrix(989,-404,1672,-683) -> Matrix(11,20,-16,-29) Matrix(2507,-1028,4636,-1901) -> Matrix(1,2,-4,-7) Matrix(837,-344,1292,-531) -> Matrix(7,10,-12,-17) Matrix(1711,-707,3952,-1633) -> Matrix(5,8,-2,-3) Matrix(5433,-2246,7448,-3079) -> Matrix(3,4,-4,-5) Matrix(6231,-2582,10640,-4409) -> Matrix(3,4,-4,-5) Matrix(1899,-788,3116,-1293) -> Matrix(5,6,-6,-7) Matrix(265,-111,456,-191) -> Matrix(7,8,-8,-9) Matrix(571,-241,988,-417) -> Matrix(7,6,-6,-5) Matrix(797,-338,988,-419) -> Matrix(3,2,-2,-1) Matrix(15579,-6617,25232,-10717) -> Matrix(81,44,-116,-63) Matrix(14743,-6264,23256,-9881) -> Matrix(17,8,-32,-15) Matrix(1177,-501,1520,-647) -> Matrix(1,0,-2,1) Matrix(1291,-560,2280,-989) -> Matrix(5,12,-8,-19) Matrix(3383,-1476,4788,-2089) -> Matrix(7,10,-12,-17) Matrix(3231,-1426,7144,-3153) -> Matrix(3,4,-10,-13) Matrix(7333,-3239,10412,-4599) -> Matrix(5,6,4,5) Matrix(1025,-453,1292,-571) -> Matrix(5,6,-6,-7) Matrix(419,-188,760,-341) -> Matrix(9,8,-8,-7) Matrix(4561,-2061,5548,-2507) -> Matrix(3,2,-8,-5) Matrix(10071,-4553,15884,-7181) -> Matrix(3,2,-8,-5) Matrix(1787,-809,2432,-1101) -> Matrix(1,0,0,1) Matrix(531,-242,836,-381) -> Matrix(1,2,-2,-3) Matrix(2735,-1256,4636,-2129) -> Matrix(3,-2,-4,3) Matrix(951,-445,1216,-569) -> Matrix(3,4,-4,-5) Matrix(1901,-897,2736,-1291) -> Matrix(11,12,-34,-37) Matrix(39,-19,76,-37) -> Matrix(1,2,-2,-3) Matrix(1065,-563,1292,-683) -> Matrix(11,10,-10,-9) Matrix(911,-483,1292,-685) -> Matrix(7,6,-6,-5) Matrix(647,-346,1064,-569) -> Matrix(1,0,0,1) Matrix(2053,-1109,2812,-1519) -> Matrix(3,2,-8,-5) Matrix(2167,-1173,2736,-1481) -> Matrix(1,0,0,1) Matrix(1291,-700,1824,-989) -> Matrix(1,0,0,1) Matrix(5397,-2956,8740,-4787) -> Matrix(7,-2,-10,3) Matrix(5509,-3019,7144,-3915) -> Matrix(1,4,-2,-7) Matrix(647,-355,760,-417) -> Matrix(3,4,-4,-5) Matrix(799,-441,1444,-797) -> Matrix(21,22,-22,-23) Matrix(797,-446,1292,-723) -> Matrix(23,18,-32,-25) Matrix(419,-235,608,-341) -> Matrix(5,4,-14,-11) Matrix(987,-556,1216,-685) -> Matrix(5,4,-4,-3) Matrix(1369,-773,1748,-987) -> Matrix(3,2,4,3) Matrix(3269,-1849,5776,-3267) -> Matrix(59,40,-90,-61) Matrix(2319,-1315,3952,-2241) -> Matrix(13,8,-18,-11) Matrix(381,-217,532,-303) -> Matrix(3,2,-8,-5) Matrix(4143,-2384,6536,-3761) -> Matrix(1,4,-2,-7) Matrix(2623,-1534,3572,-2089) -> Matrix(3,2,-2,-1) Matrix(13529,-7921,23104,-13527) -> Matrix(11,8,-18,-13) Matrix(1825,-1069,2204,-1291) -> Matrix(3,2,-2,-1) Matrix(5053,-2964,6156,-3611) -> Matrix(3,2,-2,-1) Matrix(989,-581,1292,-759) -> Matrix(3,2,-2,-1) Matrix(3307,-1949,5092,-3001) -> Matrix(13,10,-30,-23) Matrix(8701,-5130,12312,-7259) -> Matrix(27,20,-50,-37) Matrix(4523,-2669,5472,-3229) -> Matrix(11,8,-18,-13) Matrix(1445,-853,1672,-987) -> Matrix(11,8,-18,-13) Matrix(3421,-2025,5776,-3419) -> Matrix(83,56,-126,-85) Matrix(1747,-1038,2432,-1445) -> Matrix(7,4,-16,-9) Matrix(875,-529,1444,-873) -> Matrix(5,6,-6,-7) Matrix(2167,-1317,2812,-1709) -> Matrix(3,2,-2,-1) Matrix(5131,-3126,7296,-4445) -> Matrix(5,4,-14,-11) Matrix(2203,-1344,3116,-1901) -> Matrix(3,2,-2,-1) Matrix(493,-302,684,-419) -> Matrix(3,2,-8,-5) Matrix(8133,-5021,11324,-6991) -> Matrix(37,26,-84,-59) Matrix(3573,-2209,5776,-3571) -> Matrix(107,72,-162,-109) Matrix(1291,-800,1596,-989) -> Matrix(3,2,-8,-5) Matrix(1481,-919,1900,-1179) -> Matrix(3,2,-2,-1) Matrix(267,-166,304,-189) -> Matrix(1,0,0,1) Matrix(110771,-70225,174724,-110769) -> Matrix(59,30,-120,-61) Matrix(607,-387,836,-533) -> Matrix(3,2,-2,-1) Matrix(949,-607,1368,-875) -> Matrix(7,4,-16,-9) Matrix(8323,-5329,12996,-8321) -> Matrix(27,14,-56,-29) Matrix(3419,-2191,4864,-3117) -> Matrix(1,0,0,1) Matrix(3725,-2401,5776,-3723) -> Matrix(59,40,-90,-61) Matrix(4219,-2724,5472,-3533) -> Matrix(13,8,-18,-11) Matrix(4559,-2958,5624,-3649) -> Matrix(15,8,-2,-1) Matrix(723,-472,988,-645) -> Matrix(3,2,-8,-5) Matrix(1291,-881,1672,-1141) -> Matrix(7,4,-16,-9) Matrix(4827,-3353,5852,-4065) -> Matrix(29,10,-32,-11) Matrix(1559,-1085,2128,-1481) -> Matrix(1,0,2,1) Matrix(2129,-1483,2508,-1747) -> Matrix(9,2,-14,-3) Matrix(4029,-2809,5776,-4027) -> Matrix(1,0,14,1) Matrix(683,-479,760,-533) -> Matrix(1,0,0,1) Matrix(6801,-4774,8284,-5815) -> Matrix(5,2,-8,-3) Matrix(10717,-7575,13224,-9347) -> Matrix(9,4,2,1) Matrix(1027,-729,1444,-1025) -> Matrix(11,6,-24,-13) Matrix(2051,-1475,2432,-1749) -> Matrix(23,8,-26,-9) Matrix(4181,-3025,5776,-4179) -> Matrix(1,0,26,1) Matrix(1179,-854,1520,-1101) -> Matrix(1,0,-6,1) Matrix(2509,-1830,2812,-2051) -> Matrix(5,2,-8,-3) Matrix(16873,-12321,23104,-16871) -> Matrix(1,0,6,1) Matrix(1103,-841,1444,-1101) -> Matrix(1,2,-2,-3) Matrix(837,-643,988,-759) -> Matrix(1,2,-2,-3) Matrix(721,-558,836,-647) -> Matrix(5,2,-8,-3) Matrix(10147,-7921,12996,-10145) -> Matrix(1,-10,0,1) Matrix(1179,-961,1444,-1177) -> Matrix(9,10,-10,-11) Matrix(2851,-2341,3192,-2621) -> Matrix(9,4,-16,-7) Matrix(1255,-1089,1444,-1253) -> Matrix(1,2,-2,-3) 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): 60 ----------------------------------------------------------------------- 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 38 1/8 -2/1 2 19 5/38 -1/1 2 1 2/15 1/0 1 38 1/7 1/0 1 38 3/20 0/1 2 19 5/33 -7/4 1 38 2/13 -3/2 1 38 3/19 -1/1 5 2 1/6 -1/1 2 19 5/29 -3/2 1 38 4/23 1/0 1 38 3/17 -1/2 1 38 5/28 0/1 2 19 2/11 -3/2 1 38 7/38 -1/1 10 1 3/16 -2/3 2 19 4/21 -1/4 1 38 1/5 1/0 1 38 6/29 -1/2 1 38 11/53 1/0 1 38 5/24 -2/1 2 19 4/19 -1/1 3 2 3/14 -1/1 2 19 8/37 -1/2 1 38 5/23 1/0 1 38 7/32 -2/3 2 19 25/114 -1/2 10 1 9/41 -1/2 1 38 2/9 -1/4 1 38 7/31 1/0 1 38 12/53 1/0 1 38 5/22 1/1 2 19 8/35 1/0 1 38 11/48 -2/1 2 19 3/13 1/0 1 38 10/43 1/2 1 38 7/30 -1/1 2 19 4/17 1/0 1 38 9/38 -1/1 2 1 1/4 0/1 2 19 5/19 1/0 1 2 9/34 -1/1 2 19 13/49 -1/2 1 38 4/15 1/0 1 38 11/41 1/0 1 38 7/26 -1/1 2 19 41/152 0/1 6 1 17/63 1/2 1 38 10/37 1/0 1 38 13/48 -2/1 2 19 3/11 -1/2 1 38 11/40 -2/7 2 19 19/69 -1/6 1 38 8/29 -1/10 1 38 21/76 0/1 26 1 5/18 1/3 2 19 2/7 1/0 1 38 11/38 1/0 6 1 7/24 -2/1 2 19 12/41 1/0 1 38 5/17 -3/2 1 38 18/61 -3/4 1 38 13/44 0/1 2 19 8/27 1/2 1 38 19/64 2/1 2 19 11/37 1/0 1 38 3/10 -1/1 2 19 23/76 0/1 14 1 10/33 1/6 1 38 17/56 2/5 2 19 7/23 1/2 1 38 18/59 3/4 1 38 29/95 1/1 15 2 11/36 4/3 2 19 4/13 1/0 1 38 5/16 2/1 2 19 6/19 1/0 5 2 7/22 -3/1 2 19 1/3 1/0 1 38 8/23 1/0 1 38 7/20 0/1 2 19 6/17 1/0 1 38 17/48 -2/1 2 19 28/79 -5/2 1 38 11/31 -9/4 1 38 27/76 -2/1 10 1 5/14 -1/1 2 19 14/39 1/0 1 38 23/64 2/1 2 19 41/114 1/0 14 1 9/25 1/0 1 38 13/36 -8/3 2 19 4/11 1/0 1 38 15/41 1/0 1 38 26/71 -5/2 1 38 11/30 -1/1 2 19 7/19 1/0 1 2 3/8 -2/1 2 19 14/37 1/0 1 38 25/66 -1/1 2 19 36/95 1/0 3 2 11/29 -5/2 1 38 30/79 1/0 1 38 19/50 -3/1 2 19 8/21 -9/4 1 38 29/76 -2/1 18 1 13/34 -9/5 2 19 5/13 -3/2 1 38 22/57 -1/1 5 2 17/44 0/1 2 19 29/75 1/0 1 38 12/31 1/0 1 38 7/18 -5/3 2 19 23/59 -5/4 1 38 16/41 -3/2 1 38 9/23 -3/2 1 38 11/28 -4/3 2 19 15/38 -1/1 6 1 2/5 1/0 1 38 15/37 1/0 1 38 13/32 -2/1 2 19 11/27 -9/4 1 38 31/76 -2/1 14 1 9/22 -5/3 2 19 25/61 -3/2 1 38 16/39 -3/2 1 38 39/95 -3/2 11 2 23/56 -10/7 2 19 7/17 -3/2 1 38 19/46 -1/1 2 19 31/75 -3/2 1 38 43/104 -2/1 2 19 55/133 -3/2 3 2 12/29 -5/4 1 38 29/70 -1/1 2 19 63/152 -2/1 2 1 17/41 -3/2 1 38 22/53 -3/2 1 38 27/65 1/0 1 38 5/12 -4/3 2 19 8/19 -1/1 7 2 11/26 -1/1 2 19 25/59 -5/8 1 38 14/33 -3/4 1 38 31/73 -1/2 1 38 48/113 -1/2 1 38 113/266 -1/2 30 1 17/40 -2/5 2 19 3/7 1/0 1 38 16/37 1/0 1 38 13/30 -3/1 2 19 33/76 -2/1 10 1 10/23 -7/4 1 38 17/39 -3/2 1 38 58/133 -3/2 11 2 41/94 -13/9 2 19 24/55 -11/8 1 38 7/16 -2/1 2 19 11/25 -3/2 1 38 15/34 -9/7 2 19 34/77 -5/4 1 38 19/43 -5/4 1 38 4/9 -7/6 1 38 17/38 -1/1 22 1 9/20 -4/5 2 19 14/31 -3/4 1 38 33/73 -1/2 1 38 52/115 -1/2 1 38 19/42 -1/1 2 19 5/11 1/0 1 38 16/35 1/0 1 38 11/24 -2/1 2 19 28/61 1/0 1 38 17/37 1/0 1 38 6/13 -3/2 1 38 13/28 -4/3 2 19 7/15 -3/2 1 38 8/17 -9/8 1 38 9/19 -1/1 15 2 1/2 -1/1 2 19 1/0 0/1 2 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(115,-14,304,-37) (0/1,1/8) -> (3/8,14/37) Hyperbolic Matrix(39,-5,304,-39) (1/8,5/38) -> (1/8,5/38) Reflection Matrix(151,-20,1140,-151) (5/38,2/15) -> (5/38,2/15) Reflection Matrix(189,-26,836,-115) (2/15,1/7) -> (7/31,12/53) Hyperbolic Matrix(343,-51,760,-113) (1/7,3/20) -> (9/20,14/31) Hyperbolic Matrix(761,-115,2508,-379) (3/20,5/33) -> (10/33,17/56) Hyperbolic Matrix(229,-35,988,-151) (5/33,2/13) -> (3/13,10/43) Hyperbolic Matrix(381,-59,988,-153) (2/13,3/19) -> (5/13,22/57) Glide Reflection Matrix(37,-6,228,-37) (3/19,1/6) -> (3/19,1/6) Reflection Matrix(913,-157,2204,-379) (1/6,5/29) -> (12/29,29/70) Hyperbolic Matrix(457,-79,2204,-381) (5/29,4/23) -> (6/29,11/53) Glide Reflection Matrix(533,-93,1748,-305) (4/23,3/17) -> (7/23,18/59) Glide Reflection Matrix(457,-81,1292,-229) (3/17,5/28) -> (6/17,17/48) Glide Reflection Matrix(227,-41,836,-151) (5/28,2/11) -> (13/48,3/11) Glide Reflection Matrix(153,-28,836,-153) (2/11,7/38) -> (2/11,7/38) Reflection Matrix(113,-21,608,-113) (7/38,3/16) -> (7/38,3/16) Reflection Matrix(531,-100,1216,-229) (3/16,4/21) -> (24/55,7/16) Hyperbolic Matrix(419,-81,988,-191) (4/21,1/5) -> (25/59,14/33) Glide Reflection Matrix(571,-118,1292,-267) (1/5,6/29) -> (19/43,4/9) Glide Reflection Matrix(1255,-261,2736,-569) (11/53,5/24) -> (11/24,28/61) Hyperbolic Matrix(191,-40,912,-191) (5/24,4/19) -> (5/24,4/19) Reflection Matrix(113,-24,532,-113) (4/19,3/14) -> (4/19,3/14) Reflection Matrix(381,-82,1064,-229) (3/14,8/37) -> (5/14,14/39) Glide Reflection Matrix(761,-165,1748,-379) (8/37,5/23) -> (10/23,17/39) Hyperbolic Matrix(875,-191,2964,-647) (5/23,7/32) -> (18/61,13/44) Glide Reflection Matrix(799,-175,3648,-799) (7/32,25/114) -> (7/32,25/114) Reflection Matrix(2051,-450,9348,-2051) (25/114,9/41) -> (25/114,9/41) Reflection Matrix(721,-159,1900,-419) (9/41,2/9) -> (11/29,30/79) Hyperbolic Matrix(419,-94,1520,-341) (2/9,7/31) -> (19/69,8/29) Hyperbolic Matrix(1027,-233,2508,-569) (12/53,5/22) -> (9/22,25/61) Hyperbolic Matrix(267,-61,836,-191) (5/22,8/35) -> (7/22,1/3) Glide Reflection Matrix(1939,-444,5472,-1253) (8/35,11/48) -> (17/48,28/79) Hyperbolic Matrix(457,-105,988,-227) (11/48,3/13) -> (6/13,13/28) Hyperbolic Matrix(1253,-292,3420,-797) (10/43,7/30) -> (26/71,11/30) Glide Reflection Matrix(533,-125,1292,-303) (7/30,4/17) -> (7/17,19/46) Hyperbolic Matrix(305,-72,1292,-305) (4/17,9/38) -> (4/17,9/38) Reflection Matrix(37,-9,152,-37) (9/38,1/4) -> (9/38,1/4) Reflection Matrix(39,-10,152,-39) (1/4,5/19) -> (1/4,5/19) Reflection Matrix(341,-90,1292,-341) (5/19,9/34) -> (5/19,9/34) Reflection Matrix(1101,-292,2432,-645) (9/34,13/49) -> (19/42,5/11) Glide Reflection Matrix(1483,-394,3572,-949) (13/49,4/15) -> (22/53,27/65) Hyperbolic Matrix(343,-92,988,-265) (4/15,11/41) -> (1/3,8/23) Hyperbolic Matrix(1559,-419,4104,-1103) (11/41,7/26) -> (30/79,19/50) Glide Reflection Matrix(1065,-287,3952,-1065) (7/26,41/152) -> (7/26,41/152) Reflection Matrix(5167,-1394,19152,-5167) (41/152,17/63) -> (41/152,17/63) Reflection Matrix(1293,-349,2812,-759) (17/63,10/37) -> (17/37,6/13) Hyperbolic Matrix(3079,-833,7448,-2015) (10/37,13/48) -> (31/75,43/104) Glide Reflection Matrix(303,-83,836,-229) (3/11,11/40) -> (13/36,4/11) Hyperbolic Matrix(1293,-356,3040,-837) (11/40,19/69) -> (17/40,3/7) Glide Reflection Matrix(1217,-336,4408,-1217) (8/29,21/76) -> (8/29,21/76) Reflection Matrix(379,-105,1368,-379) (21/76,5/18) -> (21/76,5/18) Reflection Matrix(265,-74,684,-191) (5/18,2/7) -> (12/31,7/18) Hyperbolic Matrix(153,-44,532,-153) (2/7,11/38) -> (2/7,11/38) Reflection Matrix(265,-77,912,-265) (11/38,7/24) -> (11/38,7/24) Reflection Matrix(835,-244,1824,-533) (7/24,12/41) -> (16/35,11/24) Hyperbolic Matrix(1215,-356,3116,-913) (12/41,5/17) -> (23/59,16/41) Hyperbolic Matrix(607,-179,1292,-381) (5/17,18/61) -> (7/15,8/17) Hyperbolic Matrix(835,-247,2052,-607) (13/44,8/27) -> (13/32,11/27) Glide Reflection Matrix(1863,-553,4484,-1331) (8/27,19/64) -> (27/65,5/12) Glide Reflection Matrix(1747,-519,4864,-1445) (19/64,11/37) -> (14/39,23/64) Hyperbolic Matrix(1065,-317,2812,-837) (11/37,3/10) -> (14/37,25/66) Glide Reflection Matrix(229,-69,760,-229) (3/10,23/76) -> (3/10,23/76) Reflection Matrix(1519,-460,5016,-1519) (23/76,10/33) -> (23/76,10/33) Reflection Matrix(609,-185,1748,-531) (17/56,7/23) -> (8/23,7/20) Hyperbolic Matrix(1291,-394,2736,-835) (18/59,29/95) -> (8/17,9/19) Glide Reflection Matrix(2089,-638,6840,-2089) (29/95,11/36) -> (29/95,11/36) Reflection Matrix(493,-151,1368,-419) (11/36,4/13) -> (9/25,13/36) Hyperbolic Matrix(267,-83,608,-189) (4/13,5/16) -> (7/16,11/25) Hyperbolic Matrix(191,-60,608,-191) (5/16,6/19) -> (5/16,6/19) Reflection Matrix(265,-84,836,-265) (6/19,7/22) -> (6/19,7/22) Reflection Matrix(531,-187,1292,-455) (7/20,6/17) -> (23/56,7/17) Glide Reflection Matrix(2129,-755,4712,-1671) (28/79,11/31) -> (14/31,33/73) Hyperbolic Matrix(1673,-594,4712,-1673) (11/31,27/76) -> (11/31,27/76) Reflection Matrix(379,-135,1064,-379) (27/76,5/14) -> (27/76,5/14) Reflection Matrix(2623,-943,7296,-2623) (23/64,41/114) -> (23/64,41/114) Reflection Matrix(2051,-738,5700,-2051) (41/114,9/25) -> (41/114,9/25) Reflection Matrix(381,-139,836,-305) (4/11,15/41) -> (5/11,16/35) Glide Reflection Matrix(2775,-1016,6536,-2393) (15/41,26/71) -> (14/33,31/73) Hyperbolic Matrix(419,-154,1140,-419) (11/30,7/19) -> (11/30,7/19) Reflection Matrix(113,-42,304,-113) (7/19,3/8) -> (7/19,3/8) Reflection Matrix(4751,-1800,12540,-4751) (25/66,36/95) -> (25/66,36/95) Reflection Matrix(2735,-1037,6612,-2507) (36/95,11/29) -> (55/133,12/29) Glide Reflection Matrix(1481,-563,3496,-1329) (19/50,8/21) -> (11/26,25/59) Glide Reflection Matrix(1217,-464,3192,-1217) (8/21,29/76) -> (8/21,29/76) Reflection Matrix(987,-377,2584,-987) (29/76,13/34) -> (29/76,13/34) Reflection Matrix(569,-218,1292,-495) (13/34,5/13) -> (11/25,15/34) Hyperbolic Matrix(1937,-748,5016,-1937) (22/57,17/44) -> (22/57,17/44) Reflection Matrix(1635,-632,4028,-1557) (17/44,29/75) -> (15/37,13/32) Hyperbolic Matrix(721,-279,1672,-647) (29/75,12/31) -> (3/7,16/37) Hyperbolic Matrix(2851,-1111,6536,-2547) (7/18,23/59) -> (41/94,24/55) Glide Reflection Matrix(1293,-505,3116,-1217) (16/41,9/23) -> (17/41,22/53) Glide Reflection Matrix(495,-194,1064,-417) (9/23,11/28) -> (13/28,7/15) Hyperbolic Matrix(419,-165,1064,-419) (11/28,15/38) -> (11/28,15/38) Reflection Matrix(151,-60,380,-151) (15/38,2/5) -> (15/38,2/5) Reflection Matrix(873,-353,1976,-799) (2/5,15/37) -> (34/77,19/43) Hyperbolic Matrix(1673,-682,4104,-1673) (11/27,31/76) -> (11/27,31/76) Reflection Matrix(683,-279,1672,-683) (31/76,9/22) -> (31/76,9/22) Reflection Matrix(2129,-873,4636,-1901) (25/61,16/39) -> (28/61,17/37) Glide Reflection Matrix(3877,-1591,8892,-3649) (16/39,39/95) -> (17/39,58/133) Glide Reflection Matrix(4369,-1794,10640,-4369) (39/95,23/56) -> (39/95,23/56) Reflection Matrix(1711,-707,3952,-1633) (19/46,31/75) -> (16/37,13/30) Hyperbolic Matrix(11439,-4730,27664,-11439) (43/104,55/133) -> (43/104,55/133) Reflection Matrix(4409,-1827,10640,-4409) (29/70,63/152) -> (29/70,63/152) Reflection Matrix(5167,-2142,12464,-5167) (63/152,17/41) -> (63/152,17/41) Reflection Matrix(191,-80,456,-191) (5/12,8/19) -> (5/12,8/19) Reflection Matrix(417,-176,988,-417) (8/19,11/26) -> (8/19,11/26) Reflection Matrix(7525,-3196,16644,-7069) (31/73,48/113) -> (33/73,52/115) Glide Reflection Matrix(25537,-10848,60116,-25537) (48/113,113/266) -> (48/113,113/266) Reflection Matrix(4521,-1921,10640,-4521) (113/266,17/40) -> (113/266,17/40) Reflection Matrix(989,-429,2280,-989) (13/30,33/76) -> (13/30,33/76) Reflection Matrix(1519,-660,3496,-1519) (33/76,10/23) -> (33/76,10/23) Reflection Matrix(10905,-4756,25004,-10905) (58/133,41/94) -> (58/133,41/94) Reflection Matrix(3231,-1426,7144,-3153) (15/34,34/77) -> (52/115,19/42) Hyperbolic Matrix(305,-136,684,-305) (4/9,17/38) -> (4/9,17/38) Reflection Matrix(341,-153,760,-341) (17/38,9/20) -> (17/38,9/20) Reflection Matrix(37,-18,76,-37) (9/19,1/2) -> (9/19,1/2) 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(115,-14,304,-37) -> Matrix(1,0,0,1) Matrix(39,-5,304,-39) -> Matrix(3,4,-2,-3) (1/8,5/38) -> (-2/1,-1/1) Matrix(151,-20,1140,-151) -> Matrix(1,2,0,-1) (5/38,2/15) -> (-1/1,1/0) Matrix(189,-26,836,-115) -> Matrix(1,2,0,1) 1/0 Matrix(343,-51,760,-113) -> Matrix(3,4,-4,-5) -1/1 Matrix(761,-115,2508,-379) -> Matrix(1,2,2,5) Matrix(229,-35,988,-151) -> Matrix(1,2,-2,-3) -1/1 Matrix(381,-59,988,-153) -> Matrix(5,6,-4,-5) *** -> (-3/2,-1/1) Matrix(37,-6,228,-37) -> Matrix(1,2,0,-1) (3/19,1/6) -> (-1/1,1/0) Matrix(913,-157,2204,-379) -> Matrix(3,2,-2,-1) -1/1 Matrix(457,-79,2204,-381) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(533,-93,1748,-305) -> Matrix(1,2,2,3) Matrix(457,-81,1292,-229) -> Matrix(5,2,-2,-1) Matrix(227,-41,836,-151) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(153,-28,836,-153) -> Matrix(5,6,-4,-5) (2/11,7/38) -> (-3/2,-1/1) Matrix(113,-21,608,-113) -> Matrix(5,4,-6,-5) (7/38,3/16) -> (-1/1,-2/3) Matrix(531,-100,1216,-229) -> Matrix(5,4,-4,-3) -1/1 Matrix(419,-81,988,-191) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(571,-118,1292,-267) -> Matrix(5,6,-4,-5) *** -> (-3/2,-1/1) Matrix(1255,-261,2736,-569) -> Matrix(1,0,0,1) Matrix(191,-40,912,-191) -> Matrix(3,4,-2,-3) (5/24,4/19) -> (-2/1,-1/1) Matrix(113,-24,532,-113) -> Matrix(3,2,-4,-3) (4/19,3/14) -> (-1/1,-1/2) Matrix(381,-82,1064,-229) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(761,-165,1748,-379) -> Matrix(7,2,-4,-1) Matrix(875,-191,2964,-647) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(799,-175,3648,-799) -> Matrix(7,4,-12,-7) (7/32,25/114) -> (-2/3,-1/2) Matrix(2051,-450,9348,-2051) -> Matrix(13,6,-28,-13) (25/114,9/41) -> (-1/2,-3/7) Matrix(721,-159,1900,-419) -> Matrix(3,2,-2,-1) -1/1 Matrix(419,-94,1520,-341) -> Matrix(1,0,-6,1) 0/1 Matrix(1027,-233,2508,-569) -> Matrix(3,2,-2,-1) -1/1 Matrix(267,-61,836,-191) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(1939,-444,5472,-1253) -> Matrix(5,8,-2,-3) -2/1 Matrix(457,-105,988,-227) -> Matrix(3,2,-2,-1) -1/1 Matrix(1253,-292,3420,-797) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(533,-125,1292,-303) -> Matrix(3,2,-2,-1) -1/1 Matrix(305,-72,1292,-305) -> Matrix(1,2,0,-1) (4/17,9/38) -> (-1/1,1/0) Matrix(37,-9,152,-37) -> Matrix(-1,0,2,1) (9/38,1/4) -> (-1/1,0/1) Matrix(39,-10,152,-39) -> Matrix(1,0,0,-1) (1/4,5/19) -> (0/1,1/0) Matrix(341,-90,1292,-341) -> Matrix(1,2,0,-1) (5/19,9/34) -> (-1/1,1/0) Matrix(1101,-292,2432,-645) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1483,-394,3572,-949) -> Matrix(3,2,-2,-1) -1/1 Matrix(343,-92,988,-265) -> Matrix(1,-2,0,1) 1/0 Matrix(1559,-419,4104,-1103) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(1065,-287,3952,-1065) -> Matrix(-1,0,2,1) (7/26,41/152) -> (-1/1,0/1) Matrix(5167,-1394,19152,-5167) -> Matrix(1,0,4,-1) (41/152,17/63) -> (0/1,1/2) Matrix(1293,-349,2812,-759) -> Matrix(1,-2,0,1) 1/0 Matrix(3079,-833,7448,-2015) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(303,-83,836,-229) -> Matrix(3,2,-2,-1) -1/1 Matrix(1293,-356,3040,-837) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(1217,-336,4408,-1217) -> Matrix(-1,0,20,1) (8/29,21/76) -> (-1/10,0/1) Matrix(379,-105,1368,-379) -> Matrix(1,0,6,-1) (21/76,5/18) -> (0/1,1/3) Matrix(265,-74,684,-191) -> Matrix(1,-2,0,1) 1/0 Matrix(153,-44,532,-153) -> Matrix(-1,2,0,1) (2/7,11/38) -> (1/1,1/0) Matrix(265,-77,912,-265) -> Matrix(1,4,0,-1) (11/38,7/24) -> (-2/1,1/0) Matrix(835,-244,1824,-533) -> Matrix(1,0,0,1) Matrix(1215,-356,3116,-913) -> Matrix(3,2,-2,-1) -1/1 Matrix(607,-179,1292,-381) -> Matrix(7,6,-6,-5) -1/1 Matrix(835,-247,2052,-607) -> Matrix(5,2,-2,-1) Matrix(1863,-553,4484,-1331) -> Matrix(3,-2,-2,1) Matrix(1747,-519,4864,-1445) -> Matrix(1,0,0,1) Matrix(1065,-317,2812,-837) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(229,-69,760,-229) -> Matrix(-1,0,2,1) (3/10,23/76) -> (-1/1,0/1) Matrix(1519,-460,5016,-1519) -> Matrix(1,0,12,-1) (23/76,10/33) -> (0/1,1/6) Matrix(609,-185,1748,-531) -> Matrix(5,-2,-2,1) Matrix(1291,-394,2736,-835) -> Matrix(13,-12,-12,11) Matrix(2089,-638,6840,-2089) -> Matrix(7,-8,6,-7) (29/95,11/36) -> (1/1,4/3) Matrix(493,-151,1368,-419) -> Matrix(1,-4,0,1) 1/0 Matrix(267,-83,608,-189) -> Matrix(3,-4,-2,3) Matrix(191,-60,608,-191) -> Matrix(-1,4,0,1) (5/16,6/19) -> (2/1,1/0) Matrix(265,-84,836,-265) -> Matrix(1,6,0,-1) (6/19,7/22) -> (-3/1,1/0) Matrix(531,-187,1292,-455) -> Matrix(3,10,-2,-7) Matrix(2129,-755,4712,-1671) -> Matrix(5,12,-8,-19) Matrix(1673,-594,4712,-1673) -> Matrix(17,36,-8,-17) (11/31,27/76) -> (-9/4,-2/1) Matrix(379,-135,1064,-379) -> Matrix(3,4,-2,-3) (27/76,5/14) -> (-2/1,-1/1) Matrix(2623,-943,7296,-2623) -> Matrix(-1,4,0,1) (23/64,41/114) -> (2/1,1/0) Matrix(2051,-738,5700,-2051) -> Matrix(1,10,0,-1) (41/114,9/25) -> (-5/1,1/0) Matrix(381,-139,836,-305) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(2775,-1016,6536,-2393) -> Matrix(1,4,-2,-7) Matrix(419,-154,1140,-419) -> Matrix(1,2,0,-1) (11/30,7/19) -> (-1/1,1/0) Matrix(113,-42,304,-113) -> Matrix(1,4,0,-1) (7/19,3/8) -> (-2/1,1/0) Matrix(4751,-1800,12540,-4751) -> Matrix(1,2,0,-1) (25/66,36/95) -> (-1/1,1/0) Matrix(2735,-1037,6612,-2507) -> Matrix(3,10,-2,-7) Matrix(1481,-563,3496,-1329) -> Matrix(3,8,-4,-11) Matrix(1217,-464,3192,-1217) -> Matrix(17,36,-8,-17) (8/21,29/76) -> (-9/4,-2/1) Matrix(987,-377,2584,-987) -> Matrix(19,36,-10,-19) (29/76,13/34) -> (-2/1,-9/5) Matrix(569,-218,1292,-495) -> Matrix(11,18,-8,-13) -3/2 Matrix(1937,-748,5016,-1937) -> Matrix(-1,0,2,1) (22/57,17/44) -> (-1/1,0/1) Matrix(1635,-632,4028,-1557) -> Matrix(1,-2,0,1) 1/0 Matrix(721,-279,1672,-647) -> Matrix(1,0,0,1) Matrix(2851,-1111,6536,-2547) -> Matrix(17,24,-12,-17) *** -> (-3/2,-4/3) Matrix(1293,-505,3116,-1217) -> Matrix(5,6,-4,-5) *** -> (-3/2,-1/1) Matrix(495,-194,1064,-417) -> Matrix(1,0,0,1) Matrix(419,-165,1064,-419) -> Matrix(7,8,-6,-7) (11/28,15/38) -> (-4/3,-1/1) Matrix(151,-60,380,-151) -> Matrix(1,2,0,-1) (15/38,2/5) -> (-1/1,1/0) Matrix(873,-353,1976,-799) -> Matrix(5,4,-4,-3) -1/1 Matrix(1673,-682,4104,-1673) -> Matrix(17,36,-8,-17) (11/27,31/76) -> (-9/4,-2/1) Matrix(683,-279,1672,-683) -> Matrix(11,20,-6,-11) (31/76,9/22) -> (-2/1,-5/3) Matrix(2129,-873,4636,-1901) -> Matrix(1,2,2,3) Matrix(3877,-1591,8892,-3649) -> Matrix(19,30,-12,-19) *** -> (-5/3,-3/2) Matrix(4369,-1794,10640,-4369) -> Matrix(41,60,-28,-41) (39/95,23/56) -> (-3/2,-10/7) Matrix(1711,-707,3952,-1633) -> Matrix(5,8,-2,-3) -2/1 Matrix(11439,-4730,27664,-11439) -> Matrix(7,12,-4,-7) (43/104,55/133) -> (-2/1,-3/2) Matrix(4409,-1827,10640,-4409) -> Matrix(3,4,-2,-3) (29/70,63/152) -> (-2/1,-1/1) Matrix(5167,-2142,12464,-5167) -> Matrix(7,12,-4,-7) (63/152,17/41) -> (-2/1,-3/2) Matrix(191,-80,456,-191) -> Matrix(7,8,-6,-7) (5/12,8/19) -> (-4/3,-1/1) Matrix(417,-176,988,-417) -> Matrix(7,6,-8,-7) (8/19,11/26) -> (-1/1,-3/4) Matrix(7525,-3196,16644,-7069) -> Matrix(11,6,-20,-11) *** -> (-3/5,-1/2) Matrix(25537,-10848,60116,-25537) -> Matrix(51,26,-100,-51) (48/113,113/266) -> (-13/25,-1/2) Matrix(4521,-1921,10640,-4521) -> Matrix(9,4,-20,-9) (113/266,17/40) -> (-1/2,-2/5) Matrix(989,-429,2280,-989) -> Matrix(5,12,-2,-5) (13/30,33/76) -> (-3/1,-2/1) Matrix(1519,-660,3496,-1519) -> Matrix(15,28,-8,-15) (33/76,10/23) -> (-2/1,-7/4) Matrix(10905,-4756,25004,-10905) -> Matrix(53,78,-36,-53) (58/133,41/94) -> (-3/2,-13/9) Matrix(3231,-1426,7144,-3153) -> Matrix(3,4,-10,-13) Matrix(305,-136,684,-305) -> Matrix(13,14,-12,-13) (4/9,17/38) -> (-7/6,-1/1) Matrix(341,-153,760,-341) -> Matrix(9,8,-10,-9) (17/38,9/20) -> (-1/1,-4/5) Matrix(37,-18,76,-37) -> Matrix(1,2,0,-1) (9/19,1/2) -> (-1/1,1/0) Matrix(-1,1,0,1) -> Matrix(-1,0,2,1) (1/2,1/0) -> (-1/1,0/1) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.