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): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 120 Genus: 133 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -6/13 -11/25 -3/7 -5/12 -9/23 -4/11 -1/3 -3/10 -5/19 -2/9 -1/5 -1/7 -1/8 0/1 1/7 1/6 5/23 3/11 1/3 2/5 1/2 5/9 3/5 8/13 11/17 5/7 3/4 16/19 13/15 1/1 8/7 15/13 19/16 11/9 9/7 4/3 7/5 33/23 3/2 17/11 11/7 43/27 13/8 5/3 22/13 179/101 9/5 13/7 2/1 19/9 24/11 11/5 29/13 25/11 39/17 7/3 59/25 17/7 5/2 141/55 13/5 81/31 71/27 41/15 31/11 3/1 85/27 16/5 171/53 43/13 10/3 27/8 17/5 65/19 7/2 131/37 25/7 219/61 11/3 19/5 4/1 113/27 21/5 17/4 13/3 57/13 22/5 9/2 23/5 14/3 33/7 5/1 47/9 21/4 16/3 27/5 11/2 17/3 23/4 6/1 19/3 13/2 20/3 7/1 22/3 15/2 23/3 31/4 39/5 8/1 25/3 17/2 9/1 19/2 10/1 21/2 32/3 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 1/2 -8/17 1/1 -7/15 0/1 -13/28 3/8 -6/13 1/2 -11/24 1/2 -5/11 2/3 -14/31 1/1 -9/20 1/0 -13/29 0/1 2/1 -17/38 0/1 -21/47 0/1 -4/9 1/3 -19/43 0/1 2/5 -15/34 1/2 -11/25 1/2 -18/41 5/9 -25/57 4/7 -7/16 1/2 -10/23 7/11 -23/53 2/3 -13/30 3/4 -29/67 2/3 -16/37 1/1 -19/44 1/2 -3/7 1/1 -14/33 1/1 -25/59 0/1 -11/26 -1/2 -8/19 1/3 -21/50 1/2 -13/31 0/1 -5/12 1/2 -17/41 2/3 -29/70 1/2 -12/29 1/1 -7/17 2/3 -16/39 5/7 -9/22 3/4 -11/27 0/1 2/3 -13/32 3/4 -2/5 1/1 -13/33 1/1 -24/61 1/1 -11/28 1/0 -9/23 0/1 -25/64 1/2 -16/41 1/1 -7/18 1/2 -12/31 1/3 -5/13 0/1 2/3 -13/34 1/1 -8/21 1/3 -11/29 2/3 -25/66 1/2 -39/103 4/5 -14/37 1/1 -3/8 1/0 -16/43 1/1 -13/35 2/1 -10/27 1/1 -7/19 1/0 -18/49 -1/3 -11/30 1/0 -4/11 0/1 -13/36 1/4 -9/25 0/1 -23/64 3/8 -37/103 2/5 -14/39 3/7 -5/14 1/2 -11/31 1/1 -6/17 1/1 -19/54 1/2 -13/37 0/1 2/3 -7/20 1/2 -8/23 1/1 -1/3 0/1 -8/25 1/3 -7/22 1/2 -6/19 1/1 -11/35 0/1 2/3 -16/51 1/1 -5/16 1/2 -14/45 1/1 -23/74 1/0 -9/29 1/2 -4/13 1/1 -11/36 3/2 -29/95 2/1 -18/59 3/1 -7/23 0/1 -10/33 -1/1 -3/10 0/1 -8/27 1/3 -13/44 1/6 -5/17 1/3 -7/24 1/2 -16/55 1/3 -9/31 2/5 -11/38 1/2 -13/45 0/1 2/5 -2/7 1/3 -9/32 1/2 -16/57 1/1 -7/25 2/3 -5/18 1/0 -8/29 1/2 -3/11 0/1 2/3 -7/26 1/0 -4/15 1/1 -13/49 1/1 -22/83 1/3 -9/34 1/2 -5/19 0/1 -11/42 1/4 -6/23 1/3 -13/50 1/2 -7/27 1/2 -1/4 1/2 -6/25 3/5 -11/46 2/3 -5/21 0/1 2/3 -4/17 3/5 -7/30 5/8 -10/43 5/7 -3/13 2/3 -5/22 1/2 -17/75 2/3 -12/53 1/1 -19/84 1/2 -7/31 2/3 -2/9 1/1 -5/23 0/1 -8/37 1/1 -3/14 1/0 -4/19 1/5 -9/43 0/1 -5/24 1/2 -1/5 1/2 -6/31 1/1 -5/26 1/2 -9/47 2/3 -4/21 3/5 -7/37 2/3 -10/53 19/29 -3/16 7/10 -2/11 1/1 -9/50 3/4 -7/39 4/5 -5/28 5/6 -3/17 1/1 -4/23 1/1 -5/29 0/1 2/1 -6/35 1/1 -1/6 1/0 -5/31 0/1 -4/25 0/1 -7/44 1/4 -3/19 0/1 2/5 -2/13 1/3 -3/20 1/2 -1/7 2/3 -2/15 1/1 -1/8 1/1 -2/17 3/1 -3/26 1/0 -1/9 0/1 -1/10 1/2 0/1 1/1 1/10 1/0 1/9 2/1 1/8 1/0 4/31 0/1 3/23 0/1 2/15 1/1 3/22 1/2 4/29 1/1 1/7 0/1 2/13 3/5 1/6 1/1 3/17 1/1 5/28 5/4 2/11 1/1 3/16 3/2 4/21 9/5 1/5 2/1 4/19 1/1 7/33 2/1 3/14 1/0 5/23 1/0 7/32 1/0 2/9 -1/1 3/13 -2/1 0/1 4/17 0/1 5/21 0/1 1/4 1/2 5/19 0/1 2/3 4/15 1/1 3/11 1/1 8/29 1/1 13/47 1/1 5/18 5/4 12/43 1/1 7/25 4/3 2/7 1/1 5/17 4/3 13/44 3/2 34/115 7/5 21/71 7/5 8/27 3/2 3/10 7/4 7/23 2/1 18/59 2/1 11/36 5/2 4/13 3/1 9/29 2/1 5/16 1/0 6/19 1/1 1/3 1/0 8/23 -1/1 15/43 0/1 7/20 1/0 6/17 1/1 11/31 1/0 5/14 1/0 9/25 0/1 13/36 -1/1 4/11 -1/3 7/19 0/1 3/8 1/2 8/21 1/1 21/55 1/1 13/34 1/0 5/13 0/1 12/31 3/1 31/80 1/0 19/49 -1/1 7/18 1/2 2/5 1/1 9/22 1/0 34/83 3/1 25/61 2/1 16/39 1/1 7/17 2/1 12/29 1/1 5/12 1/0 13/31 1/1 21/50 3/4 8/19 1/1 3/7 2/1 7/16 5/2 11/25 3/1 15/34 3/1 4/9 3/1 13/29 1/0 9/20 1/0 14/31 1/1 5/11 0/1 2/1 6/13 3/1 1/2 1/0 7/13 1/0 13/24 1/0 6/11 -1/1 5/9 0/1 14/25 1/1 37/66 1/2 23/41 0/1 9/16 1/0 4/7 1/1 15/26 -1/4 11/19 0/1 29/50 1/2 18/31 0/1 7/12 1/2 31/53 1/1 24/41 1/1 41/70 1/0 17/29 0/1 10/17 1/1 23/39 0/1 59/100 1/2 36/61 1/1 13/22 1/1 3/5 0/1 2/1 14/23 3/1 11/18 1/0 30/49 1/1 19/31 2/1 27/44 1/0 8/13 1/0 37/60 1/0 29/47 -3/1 21/34 1/0 34/55 -3/1 47/76 -5/2 13/21 -2/1 31/50 -3/4 18/29 -1/1 5/8 1/2 12/19 3/1 31/49 2/1 19/30 1/0 7/11 2/1 23/36 1/0 16/25 1/1 25/39 4/1 9/14 1/0 11/17 1/0 13/20 1/0 2/3 -1/1 11/16 1/0 20/29 1/0 29/42 -5/2 9/13 -2/1 7/10 1/0 19/27 -2/1 12/17 -1/1 29/41 -1/1 17/24 -3/4 39/55 -2/3 22/31 -1/1 27/38 -1/2 32/45 0/1 5/7 -1/1 13/18 -1/4 21/29 0/1 29/40 1/0 37/51 -2/1 0/1 8/11 -1/1 19/26 -1/2 11/15 0/1 3/4 0/1 13/17 0/1 36/47 1/3 23/30 1/2 10/13 1/3 27/35 0/1 17/22 1/2 24/31 1/1 31/40 3/2 7/9 0/1 25/32 1/2 18/23 3/5 47/60 9/14 29/37 2/3 11/14 3/4 37/47 1/1 26/33 1/1 41/52 3/2 15/19 2/1 4/5 1/1 17/21 2/1 13/16 1/0 9/11 1/0 5/6 1/0 21/25 0/1 37/44 1/0 16/19 1/1 27/32 1/0 38/45 1/1 11/13 0/1 2/1 6/7 1/1 13/15 1/0 20/23 -3/1 7/8 1/0 1/1 0/1 9/8 1/2 8/7 1/1 15/13 1/1 22/19 1/1 7/6 1/0 13/11 0/1 2/1 32/27 1/1 51/43 2/1 19/16 1/0 44/37 1/1 25/21 0/1 6/5 1/1 17/14 1/0 28/23 -1/1 67/55 0/1 39/32 1/2 11/9 1/1 27/22 1/1 43/35 2/1 16/13 1/1 21/17 2/1 26/21 1/1 5/4 1/0 14/11 -3/1 51/40 1/0 37/29 -2/1 97/76 -13/6 157/123 -2/1 60/47 -9/5 83/65 -5/3 23/18 -3/2 55/43 -1/1 32/25 -1/1 73/57 -2/3 41/32 -1/2 9/7 0/1 40/31 3/1 31/24 1/0 53/41 -2/1 22/17 -1/1 35/27 0/1 13/10 -1/2 4/3 0/1 19/14 1/2 53/39 1/3 34/25 1/3 83/61 0/1 2/5 49/36 1/2 113/83 1/2 64/47 1/1 15/11 0/1 11/8 1/2 51/37 0/1 2/3 40/29 1/1 29/21 0/1 47/34 -1/4 65/47 0/1 18/13 1/5 25/18 3/10 32/23 1/3 39/28 3/8 46/33 1/3 7/5 1/2 38/27 1/3 31/22 1/2 86/61 1/3 55/39 2/5 24/17 3/7 65/46 1/2 41/29 1/2 17/12 1/2 44/31 1/1 71/50 1/2 27/19 2/3 10/7 1/1 33/23 0/1 2/3 56/39 1/1 23/16 1/2 13/9 2/3 42/29 5/7 29/20 1/1 45/31 1/1 16/11 1/1 35/24 1/2 19/13 0/1 2/3 3/2 1/2 17/11 1/1 31/20 11/10 14/9 1/1 25/16 1/0 61/39 1/1 158/101 4/3 97/62 3/2 133/85 4/3 36/23 1/1 47/30 3/2 11/7 2/1 30/19 1/1 49/31 2/1 68/43 1/1 19/12 3/2 27/17 3/1 62/39 5/1 97/61 4/1 35/22 1/0 43/27 1/0 8/5 -1/1 29/18 1/2 50/31 3/7 21/13 2/3 97/60 5/8 173/107 2/3 76/47 5/7 131/81 1/1 55/34 3/4 89/55 2/3 34/21 1/1 81/50 3/4 47/29 3/4 13/8 1/1 57/35 5/4 101/62 13/10 44/27 1/1 31/19 2/1 18/11 1/1 41/25 2/1 23/14 3/2 5/3 0/1 2/1 22/13 1/0 83/49 -3/1 61/36 1/0 100/59 -1/1 39/23 0/1 56/33 1/1 17/10 1/0 12/7 -1/1 31/18 0/1 50/29 -1/1 19/11 0/1 45/26 -1/6 26/15 1/5 7/4 1/0 23/13 1/0 62/35 -1/1 101/57 0/1 140/79 -1/9 179/101 0/1 39/22 1/2 55/31 0/1 16/9 1/1 9/5 0/1 20/11 1/3 71/39 0/1 51/28 1/2 31/17 0/1 11/6 1/2 35/19 0/1 59/32 0/1 24/13 1/1 61/33 0/1 37/20 1/2 13/7 1/1 15/8 1/2 17/9 0/1 2/1 1/1 19/9 1/1 17/8 9/8 15/7 4/3 13/6 3/2 50/23 1/1 37/17 2/1 61/28 3/2 85/39 5/3 24/11 2/1 11/5 0/1 2/1 31/14 1/0 20/9 1/1 49/22 7/8 29/13 1/1 67/30 15/14 38/17 1/1 9/4 3/2 34/15 3/2 25/11 3/2 41/18 3/2 98/43 5/3 57/25 2/1 16/7 5/3 39/17 2/1 62/27 15/7 23/10 5/2 7/3 2/1 47/20 1/0 40/17 3/1 33/14 1/0 59/25 1/0 85/36 1/0 26/11 1/1 19/8 1/0 69/29 1/0 119/50 1/0 50/21 -3/1 81/34 1/0 274/115 -1/1 193/81 0/1 112/47 -1/1 31/13 1/0 12/5 1/1 53/22 1/0 94/39 2/1 135/56 1/0 41/17 2/1 29/12 1/0 75/31 0/1 121/50 1/0 46/19 1/1 17/7 2/1 5/2 1/0 23/9 0/1 64/25 -1/1 41/16 1/0 141/55 -1/1 100/39 -1/1 59/23 0/1 77/30 -1/2 18/7 -1/1 49/19 1/2 129/50 3/4 80/31 1/1 31/12 3/2 13/5 0/1 47/18 1/0 81/31 0/1 2/1 115/44 1/0 34/13 1/1 55/21 1/0 76/29 1/0 21/8 1/0 71/27 1/0 121/46 1/0 50/19 -3/1 29/11 -2/1 0/1 8/3 -1/1 27/10 -1/2 19/7 0/1 30/11 -1/7 41/15 0/1 52/19 1/15 11/4 1/4 25/9 0/1 64/23 5/11 39/14 1/2 14/5 1/1 31/11 1/1 17/6 1/0 37/13 0/1 20/7 1/1 3/1 1/1 22/7 1/1 85/27 4/3 2/1 63/20 3/2 41/13 2/1 19/6 1/0 35/11 2/1 51/16 1/0 16/5 1/1 61/19 4/3 2/1 45/14 3/2 29/9 2/1 100/31 5/3 171/53 2/1 71/22 1/0 42/13 1/1 13/4 3/2 49/15 2/1 36/11 5/3 23/7 2/1 33/10 19/10 43/13 2/1 53/16 33/16 10/3 7/3 27/8 3/1 98/29 3/1 71/21 7/2 115/34 7/2 159/47 4/1 44/13 3/1 61/18 7/2 78/23 11/3 17/5 4/1 58/17 5/1 41/12 1/0 65/19 1/0 89/26 1/0 24/7 -1/1 7/2 1/0 46/13 3/1 131/37 2/1 4/1 216/61 3/1 85/24 1/0 39/11 2/1 32/9 3/1 25/7 4/1 68/19 5/1 111/31 4/1 154/43 5/1 197/55 5/1 43/12 1/0 61/17 4/1 140/39 11/3 219/61 4/1 79/22 9/2 97/27 1/0 18/5 5/1 11/3 1/0 26/7 -5/1 67/18 1/0 175/47 -4/1 108/29 -3/1 41/11 1/0 15/4 1/0 34/9 -1/1 19/5 -2/1 0/1 61/16 1/0 42/11 -1/1 65/17 0/1 23/6 1/0 4/1 -1/1 25/6 1/0 46/11 1/1 113/27 1/0 67/16 1/0 21/5 0/1 38/9 1/1 55/13 1/0 17/4 0/1 81/19 1/4 64/15 1/3 111/26 1/4 47/11 0/1 77/18 1/2 30/7 1/3 13/3 0/1 2/3 35/8 3/4 92/21 1/1 57/13 1/1 22/5 1/1 9/2 1/2 23/5 1/1 37/8 9/8 14/3 1/1 61/13 4/3 169/36 5/4 277/59 4/3 108/23 7/5 47/10 3/2 33/7 2/1 19/4 1/0 43/9 1/1 67/14 3/2 24/5 1/1 5/1 2/1 26/5 9/5 47/9 2/1 21/4 9/4 16/3 3/1 27/5 2/1 4/1 11/2 1/0 28/5 5/1 45/8 1/0 17/3 1/0 23/4 1/0 6/1 1/0 25/4 1/0 19/3 -2/1 13/2 -3/2 20/3 -1/1 67/10 0/1 47/7 0/1 121/18 1/0 195/29 -2/1 0/1 74/11 -1/1 27/4 -1/2 7/1 0/1 29/4 1/0 51/7 0/1 22/3 -1/1 15/2 1/0 23/3 0/1 31/4 0/1 70/9 1/3 39/5 1/2 8/1 1/1 25/3 1/1 17/2 3/2 9/1 2/1 19/2 1/0 10/1 1/1 21/2 1/0 32/3 2/1 11/1 3/1 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(745,352,1272,601) (-1/2,-8/17) -> (24/41,41/70) Hyperbolic Matrix(1373,644,420,197) (-8/17,-7/15) -> (49/15,36/11) Hyperbolic Matrix(1467,682,-3874,-1801) (-7/15,-13/28) -> (-25/66,-39/103) Hyperbolic Matrix(937,434,1358,629) (-13/28,-6/13) -> (20/29,29/42) Hyperbolic Matrix(933,428,412,189) (-6/13,-11/24) -> (9/4,34/15) Hyperbolic Matrix(823,376,1136,519) (-11/24,-5/11) -> (21/29,29/40) Hyperbolic Matrix(1327,600,1024,463) (-5/11,-14/31) -> (22/17,35/27) Hyperbolic Matrix(1427,644,308,139) (-14/31,-9/20) -> (37/8,14/3) Hyperbolic Matrix(1119,502,506,227) (-9/20,-13/29) -> (11/5,31/14) Hyperbolic Matrix(509,228,-2132,-955) (-13/29,-17/38) -> (-11/46,-5/21) Hyperbolic Matrix(2331,1042,302,135) (-17/38,-21/47) -> (23/3,31/4) Hyperbolic Matrix(1823,814,4450,1987) (-21/47,-4/9) -> (34/83,25/61) Hyperbolic Matrix(203,90,-706,-313) (-4/9,-19/43) -> (-13/45,-2/7) Hyperbolic Matrix(2207,974,1602,707) (-19/43,-15/34) -> (11/8,51/37) Hyperbolic Matrix(499,220,1404,619) (-15/34,-11/25) -> (11/31,5/14) Hyperbolic Matrix(601,264,1696,745) (-11/25,-18/41) -> (6/17,11/31) Hyperbolic Matrix(4591,2014,1794,787) (-18/41,-25/57) -> (23/9,64/25) Hyperbolic Matrix(1195,524,-5284,-2317) (-25/57,-7/16) -> (-19/84,-7/31) Hyperbolic Matrix(795,346,494,215) (-7/16,-10/23) -> (8/5,29/18) Hyperbolic Matrix(691,300,-3660,-1589) (-10/23,-23/53) -> (-7/37,-10/53) Hyperbolic Matrix(1485,644,196,85) (-23/53,-13/30) -> (15/2,23/3) Hyperbolic Matrix(4937,2138,3854,1669) (-13/30,-29/67) -> (73/57,41/32) Hyperbolic Matrix(7797,3374,5530,2393) (-29/67,-16/37) -> (86/61,55/39) Hyperbolic Matrix(2073,896,2464,1065) (-16/37,-19/44) -> (37/44,16/19) Hyperbolic Matrix(2361,1018,494,213) (-19/44,-3/7) -> (43/9,67/14) Hyperbolic Matrix(485,206,1754,745) (-3/7,-14/33) -> (8/29,13/47) Hyperbolic Matrix(3983,1688,1168,495) (-14/33,-25/59) -> (17/5,58/17) Hyperbolic Matrix(1945,824,2816,1193) (-25/59,-11/26) -> (29/42,9/13) Hyperbolic Matrix(389,164,676,285) (-11/26,-8/19) -> (4/7,15/26) Hyperbolic Matrix(871,366,1930,811) (-8/19,-21/50) -> (9/20,14/31) Hyperbolic Matrix(1253,526,1546,649) (-21/50,-13/31) -> (17/21,13/16) Hyperbolic Matrix(673,282,1062,445) (-13/31,-5/12) -> (19/30,7/11) Hyperbolic Matrix(1151,478,1818,755) (-5/12,-17/41) -> (31/49,19/30) Hyperbolic Matrix(859,356,-4780,-1981) (-17/41,-29/70) -> (-9/50,-7/39) Hyperbolic Matrix(763,316,-2388,-989) (-29/70,-12/29) -> (-8/25,-7/22) Hyperbolic Matrix(953,394,670,277) (-12/29,-7/17) -> (27/19,10/7) Hyperbolic Matrix(287,118,-1238,-509) (-7/17,-16/39) -> (-10/43,-3/13) Hyperbolic Matrix(1045,428,188,77) (-16/39,-9/22) -> (11/2,28/5) Hyperbolic Matrix(1231,502,282,115) (-9/22,-11/27) -> (13/3,35/8) Hyperbolic Matrix(285,116,-1796,-731) (-11/27,-13/32) -> (-7/44,-3/19) Hyperbolic Matrix(1037,420,1316,533) (-13/32,-2/5) -> (26/33,41/52) Hyperbolic Matrix(1387,548,1020,403) (-2/5,-13/33) -> (53/39,34/25) Hyperbolic Matrix(2403,946,8126,3199) (-13/33,-24/61) -> (34/115,21/71) Hyperbolic Matrix(5537,2178,1294,509) (-24/61,-11/28) -> (77/18,30/7) Hyperbolic Matrix(827,324,-2116,-829) (-11/28,-9/23) -> (-9/23,-25/64) Parabolic Matrix(2023,790,274,107) (-25/64,-16/41) -> (22/3,15/2) Hyperbolic Matrix(457,178,-1466,-571) (-16/41,-7/18) -> (-5/16,-14/45) Hyperbolic Matrix(733,284,1004,389) (-7/18,-12/31) -> (8/11,19/26) Hyperbolic Matrix(275,106,454,175) (-12/31,-5/13) -> (3/5,14/23) Hyperbolic Matrix(271,104,456,175) (-5/13,-13/34) -> (13/22,3/5) Hyperbolic Matrix(907,346,270,103) (-13/34,-8/21) -> (10/3,27/8) Hyperbolic Matrix(453,172,1172,445) (-8/21,-11/29) -> (5/13,12/31) Hyperbolic Matrix(3067,1162,4326,1639) (-11/29,-25/66) -> (17/24,39/55) Hyperbolic Matrix(449,170,3246,1229) (-39/103,-14/37) -> (4/29,1/7) Hyperbolic Matrix(1259,476,812,307) (-14/37,-3/8) -> (31/20,14/9) Hyperbolic Matrix(91,34,-538,-201) (-3/8,-16/43) -> (-6/35,-1/6) Hyperbolic Matrix(2409,896,1960,729) (-16/43,-13/35) -> (43/35,16/13) Hyperbolic Matrix(803,298,-2762,-1025) (-13/35,-10/27) -> (-16/55,-9/31) Hyperbolic Matrix(1065,394,446,165) (-10/27,-7/19) -> (31/13,12/5) Hyperbolic Matrix(2743,1008,1064,391) (-7/19,-18/49) -> (18/7,49/19) Hyperbolic Matrix(267,98,1414,519) (-18/49,-11/30) -> (3/16,4/21) Hyperbolic Matrix(617,226,1062,389) (-11/30,-4/11) -> (18/31,7/12) Hyperbolic Matrix(967,350,1666,603) (-4/11,-13/36) -> (29/50,18/31) Hyperbolic Matrix(1663,600,352,127) (-13/36,-9/25) -> (33/7,19/4) Hyperbolic Matrix(1223,440,1576,567) (-9/25,-23/64) -> (31/40,7/9) Hyperbolic Matrix(8305,2984,6816,2449) (-23/64,-37/103) -> (67/55,39/32) Hyperbolic Matrix(5507,1978,4630,1663) (-37/103,-14/39) -> (44/37,25/21) Hyperbolic Matrix(1831,656,1136,407) (-14/39,-5/14) -> (29/18,50/31) Hyperbolic Matrix(697,248,1824,649) (-5/14,-11/31) -> (21/55,13/34) Hyperbolic Matrix(345,122,-1298,-459) (-11/31,-6/17) -> (-4/15,-13/49) Hyperbolic Matrix(863,304,88,31) (-6/17,-19/54) -> (19/2,10/1) Hyperbolic Matrix(3283,1154,862,303) (-19/54,-13/37) -> (19/5,61/16) Hyperbolic Matrix(1813,636,2500,877) (-13/37,-7/20) -> (29/40,37/51) Hyperbolic Matrix(601,210,518,181) (-7/20,-8/23) -> (22/19,7/6) Hyperbolic Matrix(427,148,-1884,-653) (-8/23,-1/3) -> (-17/75,-12/53) Hyperbolic Matrix(1075,346,494,159) (-1/3,-8/25) -> (50/23,37/17) Hyperbolic Matrix(573,182,658,209) (-7/22,-6/19) -> (20/23,7/8) Hyperbolic Matrix(2369,746,1718,541) (-6/19,-11/35) -> (51/37,40/29) Hyperbolic Matrix(3671,1152,1144,359) (-11/35,-16/51) -> (16/5,61/19) Hyperbolic Matrix(2857,896,896,281) (-16/51,-5/16) -> (51/16,16/5) Hyperbolic Matrix(4797,1492,1868,581) (-14/45,-23/74) -> (77/30,18/7) Hyperbolic Matrix(7147,2220,4388,1363) (-23/74,-9/29) -> (57/35,101/62) Hyperbolic Matrix(1701,526,650,201) (-9/29,-4/13) -> (34/13,55/21) Hyperbolic Matrix(1051,322,1694,519) (-4/13,-11/36) -> (31/50,18/29) Hyperbolic Matrix(4271,1304,5080,1551) (-11/36,-29/95) -> (21/25,37/44) Hyperbolic Matrix(11849,3616,6688,2041) (-29/95,-18/59) -> (62/35,101/57) Hyperbolic Matrix(1451,442,1126,343) (-18/59,-7/23) -> (9/7,40/31) Hyperbolic Matrix(323,98,1526,463) (-7/23,-10/33) -> (4/19,7/33) Hyperbolic Matrix(1523,460,884,267) (-10/33,-3/10) -> (31/18,50/29) Hyperbolic Matrix(957,284,556,165) (-3/10,-8/27) -> (12/7,31/18) Hyperbolic Matrix(1271,376,240,71) (-8/27,-13/44) -> (21/4,16/3) Hyperbolic Matrix(955,282,2462,727) (-13/44,-5/17) -> (19/49,7/18) Hyperbolic Matrix(397,116,948,277) (-5/17,-7/24) -> (5/12,13/31) Hyperbolic Matrix(2609,760,1816,529) (-7/24,-16/55) -> (56/39,23/16) Hyperbolic Matrix(1497,434,238,69) (-9/31,-11/38) -> (25/4,19/3) Hyperbolic Matrix(5359,1550,3938,1139) (-11/38,-13/45) -> (83/61,49/36) Hyperbolic Matrix(155,44,236,67) (-2/7,-9/32) -> (13/20,2/3) Hyperbolic Matrix(235,66,-2026,-569) (-9/32,-16/57) -> (-2/17,-3/26) Hyperbolic Matrix(3735,1048,2648,743) (-16/57,-7/25) -> (55/39,24/17) Hyperbolic Matrix(1009,282,390,109) (-7/25,-5/18) -> (31/12,13/5) Hyperbolic Matrix(231,64,776,215) (-5/18,-8/29) -> (8/27,3/10) Hyperbolic Matrix(387,106,230,63) (-8/29,-3/11) -> (5/3,22/13) Hyperbolic Matrix(383,104,232,63) (-3/11,-7/26) -> (23/14,5/3) Hyperbolic Matrix(613,164,228,61) (-7/26,-4/15) -> (8/3,27/10) Hyperbolic Matrix(9829,2606,7698,2041) (-13/49,-22/83) -> (60/47,83/65) Hyperbolic Matrix(1903,504,4648,1231) (-22/83,-9/34) -> (9/22,34/83) Hyperbolic Matrix(379,100,-1444,-381) (-9/34,-5/19) -> (-5/19,-11/42) Parabolic Matrix(153,40,1136,297) (-11/42,-6/23) -> (2/15,3/22) Hyperbolic Matrix(2799,728,1288,335) (-6/23,-13/50) -> (13/6,50/23) Hyperbolic Matrix(6655,1728,1968,511) (-13/50,-7/27) -> (71/21,115/34) Hyperbolic Matrix(1283,332,228,59) (-7/27,-1/4) -> (45/8,17/3) Hyperbolic Matrix(1257,304,368,89) (-1/4,-6/25) -> (58/17,41/12) Hyperbolic Matrix(2579,618,1398,335) (-6/25,-11/46) -> (59/32,24/13) Hyperbolic Matrix(1543,366,586,139) (-5/21,-4/17) -> (50/19,29/11) Hyperbolic Matrix(145,34,806,189) (-4/17,-7/30) -> (5/28,2/11) Hyperbolic Matrix(2849,664,1240,289) (-7/30,-10/43) -> (62/27,23/10) Hyperbolic Matrix(509,116,724,165) (-3/13,-5/22) -> (7/10,19/27) Hyperbolic Matrix(6809,1544,1592,361) (-5/22,-17/75) -> (47/11,77/18) Hyperbolic Matrix(6151,1392,10424,2359) (-12/53,-19/84) -> (59/100,36/61) Hyperbolic Matrix(1371,308,868,195) (-7/31,-2/9) -> (30/19,49/31) Hyperbolic Matrix(789,172,500,109) (-2/9,-5/23) -> (11/7,30/19) Hyperbolic Matrix(1145,248,928,201) (-5/23,-8/37) -> (16/13,21/17) Hyperbolic Matrix(1427,308,644,139) (-8/37,-3/14) -> (31/14,20/9) Hyperbolic Matrix(497,106,286,61) (-3/14,-4/19) -> (26/15,7/4) Hyperbolic Matrix(2053,430,1418,297) (-4/19,-9/43) -> (13/9,42/29) Hyperbolic Matrix(2123,444,2692,563) (-9/43,-5/24) -> (41/52,15/19) Hyperbolic Matrix(1059,220,284,59) (-5/24,-1/5) -> (41/11,15/4) Hyperbolic Matrix(1811,354,486,95) (-1/5,-6/31) -> (108/29,41/11) Hyperbolic Matrix(1733,334,1458,281) (-6/31,-5/26) -> (19/16,44/37) Hyperbolic Matrix(2219,426,1870,359) (-5/26,-9/47) -> (51/43,19/16) Hyperbolic Matrix(1939,370,414,79) (-9/47,-4/21) -> (14/3,61/13) Hyperbolic Matrix(137,26,1038,197) (-4/21,-7/37) -> (3/23,2/15) Hyperbolic Matrix(2969,560,896,169) (-10/53,-3/16) -> (53/16,10/3) Hyperbolic Matrix(343,64,552,103) (-3/16,-2/11) -> (18/29,5/8) Hyperbolic Matrix(5671,1022,3346,603) (-2/11,-9/50) -> (61/36,100/59) Hyperbolic Matrix(4637,830,2866,513) (-7/39,-5/28) -> (55/34,89/55) Hyperbolic Matrix(1157,206,410,73) (-5/28,-3/17) -> (31/11,17/6) Hyperbolic Matrix(951,166,338,59) (-3/17,-4/23) -> (14/5,31/11) Hyperbolic Matrix(1083,188,1492,259) (-4/23,-5/29) -> (37/51,8/11) Hyperbolic Matrix(1487,256,1760,303) (-5/29,-6/35) -> (38/45,11/13) Hyperbolic Matrix(2741,444,1068,173) (-1/6,-5/31) -> (59/23,77/30) Hyperbolic Matrix(199,32,1536,247) (-5/31,-4/25) -> (4/31,3/23) Hyperbolic Matrix(5461,870,2266,361) (-4/25,-7/44) -> (53/22,94/39) Hyperbolic Matrix(331,52,732,115) (-3/19,-2/13) -> (14/31,5/11) Hyperbolic Matrix(131,20,596,91) (-2/13,-3/20) -> (7/32,2/9) Hyperbolic Matrix(659,98,854,127) (-3/20,-1/7) -> (27/35,17/22) Hyperbolic Matrix(715,98,518,71) (-1/7,-2/15) -> (40/29,29/21) Hyperbolic Matrix(257,34,582,77) (-2/15,-1/8) -> (15/34,4/9) Hyperbolic Matrix(829,100,572,69) (-1/8,-2/17) -> (42/29,29/20) Hyperbolic Matrix(443,50,62,7) (-3/26,-1/9) -> (7/1,29/4) Hyperbolic Matrix(563,60,1004,107) (-1/9,-1/10) -> (37/66,23/41) Hyperbolic Matrix(433,40,184,17) (-1/10,0/1) -> (40/17,33/14) Hyperbolic Matrix(929,-80,360,-31) (0/1,1/10) -> (129/50,80/31) Hyperbolic Matrix(809,-86,254,-27) (1/10,1/9) -> (35/11,51/16) Hyperbolic Matrix(855,-98,602,-69) (1/9,1/8) -> (71/50,27/19) Hyperbolic Matrix(4271,-546,2730,-349) (1/8,4/31) -> (158/101,97/62) Hyperbolic Matrix(4627,-636,1084,-149) (3/22,4/29) -> (64/15,111/26) Hyperbolic Matrix(437,-66,682,-103) (1/7,2/13) -> (16/25,25/39) Hyperbolic Matrix(193,-30,534,-83) (2/13,1/6) -> (13/36,4/11) Hyperbolic Matrix(525,-92,428,-75) (1/6,3/17) -> (11/9,27/22) Hyperbolic Matrix(1807,-322,1330,-237) (3/17,5/28) -> (19/14,53/39) Hyperbolic Matrix(709,-132,188,-35) (2/11,3/16) -> (15/4,34/9) Hyperbolic Matrix(235,-46,46,-9) (4/21,1/5) -> (5/1,26/5) Hyperbolic Matrix(511,-106,834,-173) (1/5,4/19) -> (30/49,19/31) Hyperbolic Matrix(1479,-314,1154,-245) (7/33,3/14) -> (41/32,9/7) Hyperbolic Matrix(231,-50,1058,-229) (3/14,5/23) -> (5/23,7/32) Parabolic Matrix(365,-82,138,-31) (2/9,3/13) -> (29/11,8/3) Hyperbolic Matrix(499,-116,228,-53) (3/13,4/17) -> (24/11,11/5) Hyperbolic Matrix(497,-118,1630,-387) (4/17,5/21) -> (7/23,18/59) Hyperbolic Matrix(1039,-250,586,-141) (5/21,1/4) -> (39/22,55/31) Hyperbolic Matrix(133,-34,90,-23) (1/4,5/19) -> (19/13,3/2) Hyperbolic Matrix(709,-188,132,-35) (5/19,4/15) -> (16/3,27/5) Hyperbolic Matrix(133,-36,484,-131) (4/15,3/11) -> (3/11,8/29) Parabolic Matrix(1667,-462,350,-97) (13/47,5/18) -> (19/4,43/9) Hyperbolic Matrix(3415,-952,1008,-281) (5/18,12/43) -> (44/13,61/18) Hyperbolic Matrix(3807,-1064,2408,-673) (12/43,7/25) -> (49/31,68/43) Hyperbolic Matrix(1269,-356,524,-147) (7/25,2/7) -> (46/19,17/7) Hyperbolic Matrix(173,-50,218,-63) (2/7,5/17) -> (15/19,4/5) Hyperbolic Matrix(3415,-1008,952,-281) (5/17,13/44) -> (43/12,61/17) Hyperbolic Matrix(10157,-3002,2162,-639) (13/44,34/115) -> (108/23,47/10) Hyperbolic Matrix(3803,-1126,2246,-665) (21/71,8/27) -> (22/13,83/49) Hyperbolic Matrix(989,-300,300,-91) (3/10,7/23) -> (23/7,33/10) Hyperbolic Matrix(2745,-838,3862,-1179) (18/59,11/36) -> (27/38,32/45) Hyperbolic Matrix(985,-302,1758,-539) (11/36,4/13) -> (14/25,37/66) Hyperbolic Matrix(1327,-410,1026,-317) (4/13,9/29) -> (53/41,22/17) Hyperbolic Matrix(1539,-478,982,-305) (9/29,5/16) -> (47/30,11/7) Hyperbolic Matrix(1193,-376,936,-295) (5/16,6/19) -> (14/11,51/40) Hyperbolic Matrix(43,-14,126,-41) (6/19,1/3) -> (1/3,8/23) Parabolic Matrix(2119,-738,290,-101) (8/23,15/43) -> (51/7,22/3) Hyperbolic Matrix(3529,-1232,1120,-391) (15/43,7/20) -> (63/20,41/13) Hyperbolic Matrix(1409,-494,830,-291) (7/20,6/17) -> (56/33,17/10) Hyperbolic Matrix(535,-192,248,-89) (5/14,9/25) -> (15/7,13/6) Hyperbolic Matrix(2223,-802,1810,-653) (9/25,13/36) -> (27/22,43/35) Hyperbolic Matrix(779,-286,286,-105) (4/11,7/19) -> (19/7,30/11) Hyperbolic Matrix(449,-166,614,-227) (7/19,3/8) -> (19/26,11/15) Hyperbolic Matrix(365,-138,82,-31) (3/8,8/21) -> (22/5,9/2) Hyperbolic Matrix(1825,-696,1256,-479) (8/21,21/55) -> (45/31,16/11) Hyperbolic Matrix(1053,-404,404,-155) (13/34,5/13) -> (13/5,47/18) Hyperbolic Matrix(7751,-3002,2946,-1141) (12/31,31/80) -> (121/46,50/19) Hyperbolic Matrix(929,-360,80,-31) (31/80,19/49) -> (11/1,1/0) Hyperbolic Matrix(81,-32,200,-79) (7/18,2/5) -> (2/5,9/22) Parabolic Matrix(4489,-1840,3296,-1351) (25/61,16/39) -> (64/47,15/11) Hyperbolic Matrix(4049,-1662,2502,-1027) (16/39,7/17) -> (89/55,34/21) Hyperbolic Matrix(1269,-524,356,-147) (7/17,12/29) -> (32/9,25/7) Hyperbolic Matrix(357,-148,316,-131) (12/29,5/12) -> (9/8,8/7) Hyperbolic Matrix(3825,-1606,2446,-1027) (13/31,21/50) -> (25/16,61/39) Hyperbolic Matrix(1931,-812,868,-365) (21/50,8/19) -> (20/9,49/22) Hyperbolic Matrix(393,-166,670,-283) (8/19,3/7) -> (17/29,10/17) Hyperbolic Matrix(273,-118,118,-51) (3/7,7/16) -> (23/10,7/3) Hyperbolic Matrix(583,-256,312,-137) (7/16,11/25) -> (13/7,15/8) Hyperbolic Matrix(2255,-994,1554,-685) (11/25,15/34) -> (29/20,45/31) Hyperbolic Matrix(619,-276,388,-173) (4/9,13/29) -> (43/27,8/5) Hyperbolic Matrix(1931,-868,812,-365) (13/29,9/20) -> (19/8,69/29) Hyperbolic Matrix(499,-228,116,-53) (5/11,6/13) -> (30/7,13/3) Hyperbolic Matrix(535,-248,192,-89) (6/13,1/2) -> (39/14,14/5) Hyperbolic Matrix(583,-312,256,-137) (1/2,7/13) -> (25/11,41/18) Hyperbolic Matrix(2181,-1178,1346,-727) (7/13,13/24) -> (81/50,47/29) Hyperbolic Matrix(871,-474,362,-197) (13/24,6/11) -> (12/5,53/22) Hyperbolic Matrix(181,-100,324,-179) (6/11,5/9) -> (5/9,14/25) Parabolic Matrix(1219,-684,180,-101) (23/41,9/16) -> (27/4,7/1) Hyperbolic Matrix(215,-122,178,-101) (9/16,4/7) -> (6/5,17/14) Hyperbolic Matrix(1349,-780,780,-451) (15/26,11/19) -> (19/11,45/26) Hyperbolic Matrix(1135,-658,602,-349) (11/19,29/50) -> (15/8,17/9) Hyperbolic Matrix(1201,-702,142,-83) (7/12,31/53) -> (25/3,17/2) Hyperbolic Matrix(1449,-848,176,-103) (31/53,24/41) -> (8/1,25/3) Hyperbolic Matrix(7805,-4572,4908,-2875) (41/70,17/29) -> (97/61,35/22) Hyperbolic Matrix(1409,-830,494,-291) (10/17,23/39) -> (37/13,20/7) Hyperbolic Matrix(17083,-10078,10918,-6441) (23/39,59/100) -> (97/62,133/85) Hyperbolic Matrix(3803,-2246,1126,-665) (36/61,13/22) -> (27/8,98/29) Hyperbolic Matrix(1183,-722,834,-509) (14/23,11/18) -> (17/12,44/31) Hyperbolic Matrix(3751,-2296,1008,-617) (11/18,30/49) -> (26/7,67/18) Hyperbolic Matrix(4199,-2576,1736,-1065) (19/31,27/44) -> (29/12,75/31) Hyperbolic Matrix(833,-512,1352,-831) (27/44,8/13) -> (8/13,37/60) Parabolic Matrix(6061,-3738,4746,-2927) (37/60,29/47) -> (83/65,23/18) Hyperbolic Matrix(2181,-1346,1178,-727) (29/47,21/34) -> (37/20,13/7) Hyperbolic Matrix(4431,-2738,1730,-1069) (21/34,34/55) -> (64/25,41/16) Hyperbolic Matrix(5641,-3488,4048,-2503) (34/55,47/76) -> (39/28,46/33) Hyperbolic Matrix(3633,-2248,2248,-1391) (47/76,13/21) -> (21/13,97/60) Hyperbolic Matrix(1107,-686,518,-321) (13/21,31/50) -> (17/8,15/7) Hyperbolic Matrix(619,-390,446,-281) (5/8,12/19) -> (18/13,25/18) Hyperbolic Matrix(3807,-2408,1064,-673) (12/19,31/49) -> (25/7,68/19) Hyperbolic Matrix(1539,-982,478,-305) (7/11,23/36) -> (45/14,29/9) Hyperbolic Matrix(3825,-2446,1606,-1027) (23/36,16/25) -> (50/21,81/34) Hyperbolic Matrix(2423,-1554,1330,-853) (25/39,9/14) -> (51/28,31/17) Hyperbolic Matrix(375,-242,578,-373) (9/14,11/17) -> (11/17,13/20) Parabolic Matrix(133,-90,34,-23) (2/3,11/16) -> (23/6,4/1) Hyperbolic Matrix(1825,-1256,696,-479) (11/16,20/29) -> (76/29,21/8) Hyperbolic Matrix(429,-298,298,-207) (9/13,7/10) -> (23/16,13/9) Hyperbolic Matrix(1183,-834,722,-509) (19/27,12/17) -> (18/11,41/25) Hyperbolic Matrix(1871,-1322,426,-301) (12/17,29/41) -> (57/13,22/5) Hyperbolic Matrix(2263,-1602,1770,-1253) (29/41,17/24) -> (23/18,55/43) Hyperbolic Matrix(3341,-2370,2818,-1999) (39/55,22/31) -> (32/27,51/43) Hyperbolic Matrix(1965,-1396,556,-395) (22/31,27/38) -> (7/2,46/13) Hyperbolic Matrix(3993,-2840,1832,-1303) (32/45,5/7) -> (85/39,24/11) Hyperbolic Matrix(619,-446,390,-281) (5/7,13/18) -> (19/12,27/17) Hyperbolic Matrix(1885,-1364,1364,-987) (13/18,21/29) -> (29/21,47/34) Hyperbolic Matrix(97,-72,128,-95) (11/15,3/4) -> (3/4,13/17) Parabolic Matrix(4473,-3424,1744,-1335) (13/17,36/47) -> (100/39,59/23) Hyperbolic Matrix(2409,-1846,2854,-2187) (36/47,23/30) -> (27/32,38/45) Hyperbolic Matrix(1425,-1094,254,-195) (23/30,10/13) -> (28/5,45/8) Hyperbolic Matrix(2467,-1902,1454,-1121) (10/13,27/35) -> (39/23,56/33) Hyperbolic Matrix(1327,-1026,410,-317) (17/22,24/31) -> (42/13,13/4) Hyperbolic Matrix(3597,-2786,1610,-1247) (24/31,31/40) -> (67/30,38/17) Hyperbolic Matrix(1479,-1154,314,-245) (7/9,25/32) -> (47/10,33/7) Hyperbolic Matrix(2263,-1770,1602,-1253) (25/32,18/23) -> (24/17,65/46) Hyperbolic Matrix(4963,-3886,3046,-2385) (18/23,47/60) -> (101/62,44/27) Hyperbolic Matrix(5809,-4552,4552,-3567) (47/60,29/37) -> (37/29,97/76) Hyperbolic Matrix(1193,-936,376,-295) (29/37,11/14) -> (19/6,35/11) Hyperbolic Matrix(1065,-838,502,-395) (11/14,37/47) -> (19/9,17/8) Hyperbolic Matrix(721,-568,344,-271) (37/47,26/33) -> (2/1,19/9) Hyperbolic Matrix(651,-526,526,-425) (4/5,17/21) -> (21/17,26/21) Hyperbolic Matrix(525,-428,92,-75) (13/16,9/11) -> (17/3,23/4) Hyperbolic Matrix(215,-178,122,-101) (9/11,5/6) -> (7/4,23/13) Hyperbolic Matrix(1217,-1022,518,-435) (5/6,21/25) -> (7/3,47/20) Hyperbolic Matrix(3341,-2818,2370,-1999) (16/19,27/32) -> (31/22,86/61) Hyperbolic Matrix(575,-488,152,-129) (11/13,6/7) -> (34/9,19/5) Hyperbolic Matrix(391,-338,450,-389) (6/7,13/15) -> (13/15,20/23) Parabolic Matrix(357,-316,148,-131) (7/8,1/1) -> (41/17,29/12) Hyperbolic Matrix(291,-326,158,-177) (1/1,9/8) -> (11/6,35/19) Hyperbolic Matrix(391,-450,338,-389) (8/7,15/13) -> (15/13,22/19) Parabolic Matrix(283,-332,52,-61) (7/6,13/11) -> (27/5,11/2) Hyperbolic Matrix(2615,-3098,1922,-2277) (13/11,32/27) -> (34/25,83/61) Hyperbolic Matrix(1787,-2132,1124,-1341) (25/21,6/5) -> (62/39,97/61) Hyperbolic Matrix(631,-768,152,-185) (17/14,28/23) -> (4/1,25/6) Hyperbolic Matrix(10023,-12208,5656,-6889) (28/23,67/55) -> (101/57,140/79) Hyperbolic Matrix(3205,-3908,1892,-2307) (39/32,11/9) -> (83/49,61/36) Hyperbolic Matrix(2551,-3160,976,-1209) (26/21,5/4) -> (115/44,34/13) Hyperbolic Matrix(173,-218,50,-63) (5/4,14/11) -> (24/7,7/2) Hyperbolic Matrix(911,-1162,98,-125) (51/40,37/29) -> (9/1,19/2) Hyperbolic Matrix(18401,-23486,10382,-13251) (97/76,157/123) -> (179/101,39/22) Hyperbolic Matrix(25633,-32720,14464,-18463) (157/123,60/47) -> (140/79,179/101) Hyperbolic Matrix(5381,-6884,1228,-1571) (55/43,32/25) -> (92/21,57/13) Hyperbolic Matrix(6483,-8300,1916,-2453) (32/25,73/57) -> (159/47,44/13) Hyperbolic Matrix(4889,-6310,2054,-2651) (40/31,31/24) -> (119/50,50/21) Hyperbolic Matrix(2981,-3852,1612,-2083) (31/24,53/41) -> (61/33,37/20) Hyperbolic Matrix(829,-1076,292,-379) (35/27,13/10) -> (17/6,37/13) Hyperbolic Matrix(97,-128,72,-95) (13/10,4/3) -> (4/3,19/14) Parabolic Matrix(9629,-13108,2300,-3131) (49/36,113/83) -> (113/27,67/16) Hyperbolic Matrix(9129,-12430,2182,-2971) (113/83,64/47) -> (46/11,113/27) Hyperbolic Matrix(449,-614,166,-227) (15/11,11/8) -> (27/10,19/7) Hyperbolic Matrix(2585,-3574,494,-683) (47/34,65/47) -> (47/9,21/4) Hyperbolic Matrix(1833,-2536,352,-487) (65/47,18/13) -> (26/5,47/9) Hyperbolic Matrix(891,-1238,398,-553) (25/18,32/23) -> (38/17,9/4) Hyperbolic Matrix(2201,-3064,936,-1303) (32/23,39/28) -> (47/20,40/17) Hyperbolic Matrix(2993,-4174,702,-979) (46/33,7/5) -> (81/19,64/15) Hyperbolic Matrix(1675,-2356,396,-557) (7/5,38/27) -> (38/9,55/13) Hyperbolic Matrix(4279,-6024,1768,-2489) (38/27,31/22) -> (121/50,46/19) Hyperbolic Matrix(6775,-9576,2576,-3641) (65/46,41/29) -> (71/27,121/46) Hyperbolic Matrix(1461,-2068,556,-787) (41/29,17/12) -> (21/8,71/27) Hyperbolic Matrix(3935,-5586,1666,-2365) (44/31,71/50) -> (85/36,26/11) Hyperbolic Matrix(1519,-2178,1058,-1517) (10/7,33/23) -> (33/23,56/39) Parabolic Matrix(2803,-4086,1230,-1793) (16/11,35/24) -> (41/18,98/43) Hyperbolic Matrix(2049,-2990,638,-931) (35/24,19/13) -> (61/19,45/14) Hyperbolic Matrix(375,-578,242,-373) (3/2,17/11) -> (17/11,31/20) Parabolic Matrix(437,-682,66,-103) (14/9,25/16) -> (13/2,20/3) Hyperbolic Matrix(2359,-3690,218,-341) (61/39,158/101) -> (32/3,11/1) Hyperbolic Matrix(27729,-43390,11638,-18211) (133/85,36/23) -> (274/115,193/81) Hyperbolic Matrix(2663,-4170,698,-1093) (36/23,47/30) -> (61/16,42/11) Hyperbolic Matrix(1627,-2574,390,-617) (68/43,19/12) -> (25/6,46/11) Hyperbolic Matrix(6401,-10174,3958,-6291) (27/17,62/39) -> (76/47,131/81) Hyperbolic Matrix(4731,-7532,1988,-3165) (35/22,43/27) -> (69/29,119/50) Hyperbolic Matrix(1607,-2594,578,-933) (50/31,21/13) -> (25/9,64/23) Hyperbolic Matrix(21593,-34910,6014,-9723) (97/60,173/107) -> (219/61,79/22) Hyperbolic Matrix(25273,-40864,7040,-11383) (173/107,76/47) -> (140/39,219/61) Hyperbolic Matrix(7831,-12666,3594,-5813) (131/81,55/34) -> (61/28,85/39) Hyperbolic Matrix(3591,-5816,1112,-1801) (34/21,81/50) -> (71/22,42/13) Hyperbolic Matrix(833,-1352,512,-831) (47/29,13/8) -> (13/8,57/35) Parabolic Matrix(1661,-2708,468,-763) (44/27,31/19) -> (39/11,32/9) Hyperbolic Matrix(511,-834,106,-173) (31/19,18/11) -> (24/5,5/1) Hyperbolic Matrix(551,-904,64,-105) (41/25,23/14) -> (17/2,9/1) Hyperbolic Matrix(13963,-23668,5860,-9933) (100/59,39/23) -> (193/81,112/47) Hyperbolic Matrix(393,-670,166,-283) (17/10,12/7) -> (26/11,19/8) Hyperbolic Matrix(1829,-3154,802,-1383) (50/29,19/11) -> (57/25,16/7) Hyperbolic Matrix(1517,-2626,554,-959) (45/26,26/15) -> (52/19,11/4) Hyperbolic Matrix(3759,-6656,1112,-1969) (23/13,62/35) -> (98/29,71/21) Hyperbolic Matrix(3107,-5516,868,-1541) (55/31,16/9) -> (68/19,111/31) Hyperbolic Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(6137,-11168,1648,-2999) (20/11,71/39) -> (175/47,108/29) Hyperbolic Matrix(6413,-11676,2660,-4843) (71/39,51/28) -> (135/56,41/17) Hyperbolic Matrix(515,-942,158,-289) (31/17,11/6) -> (13/4,49/15) Hyperbolic Matrix(2777,-5118,414,-763) (35/19,59/32) -> (67/10,47/7) Hyperbolic Matrix(3677,-6796,1140,-2107) (24/13,61/33) -> (29/9,100/31) Hyperbolic Matrix(443,-844,116,-221) (17/9,2/1) -> (42/11,65/17) Hyperbolic Matrix(1921,-4184,264,-575) (37/17,61/28) -> (29/4,51/7) Hyperbolic Matrix(1509,-3364,676,-1507) (49/22,29/13) -> (29/13,67/30) Parabolic Matrix(1661,-3770,634,-1439) (34/15,25/11) -> (55/21,76/29) Hyperbolic Matrix(8623,-19656,2408,-5489) (98/43,57/25) -> (111/31,154/43) Hyperbolic Matrix(1327,-3042,578,-1325) (16/7,39/17) -> (39/17,62/27) Parabolic Matrix(2951,-6962,1250,-2949) (33/14,59/25) -> (59/25,85/36) Parabolic Matrix(17119,-40786,4834,-11517) (81/34,274/115) -> (216/61,85/24) Hyperbolic Matrix(1937,-4616,248,-591) (112/47,31/13) -> (39/5,8/1) Hyperbolic Matrix(2611,-6294,246,-593) (94/39,135/56) -> (21/2,32/3) Hyperbolic Matrix(4585,-11094,1294,-3131) (75/31,121/50) -> (85/24,39/11) Hyperbolic Matrix(81,-200,32,-79) (17/7,5/2) -> (5/2,23/9) Parabolic Matrix(5517,-14140,1540,-3947) (41/16,141/55) -> (197/55,43/12) Hyperbolic Matrix(16153,-41414,4510,-11563) (141/55,100/39) -> (154/43,197/55) Hyperbolic Matrix(6351,-16384,1768,-4561) (49/19,129/50) -> (79/22,97/27) Hyperbolic Matrix(2189,-5652,500,-1291) (80/31,31/12) -> (35/8,92/21) Hyperbolic Matrix(5023,-13122,1922,-5021) (47/18,81/31) -> (81/31,115/44) Parabolic Matrix(1231,-3362,450,-1229) (30/11,41/15) -> (41/15,52/19) Parabolic Matrix(193,-534,30,-83) (11/4,25/9) -> (19/3,13/2) Hyperbolic Matrix(2383,-6632,696,-1937) (64/23,39/14) -> (89/26,24/7) Hyperbolic Matrix(43,-126,14,-41) (20/7,3/1) -> (3/1,22/7) Parabolic Matrix(3363,-10580,500,-1573) (22/7,85/27) -> (195/29,74/11) Hyperbolic Matrix(7167,-22570,1066,-3357) (85/27,63/20) -> (121/18,195/29) Hyperbolic Matrix(1725,-5444,404,-1275) (41/13,19/6) -> (111/26,47/11) Hyperbolic Matrix(14311,-46168,3048,-9833) (100/31,171/53) -> (277/59,108/23) Hyperbolic Matrix(15051,-48566,3206,-10345) (171/53,71/22) -> (169/36,277/59) Hyperbolic Matrix(497,-1630,118,-387) (36/11,23/7) -> (21/5,38/9) Hyperbolic Matrix(1119,-3698,338,-1117) (33/10,43/13) -> (43/13,53/16) Parabolic Matrix(10017,-33886,2134,-7219) (115/34,159/47) -> (61/13,169/36) Hyperbolic Matrix(663,-2248,64,-217) (61/18,78/23) -> (10/1,21/2) Hyperbolic Matrix(2103,-7138,586,-1989) (78/23,17/5) -> (61/17,140/39) Hyperbolic Matrix(2471,-8450,722,-2469) (41/12,65/19) -> (65/19,89/26) Parabolic Matrix(9695,-34322,2738,-9693) (46/13,131/37) -> (131/37,216/61) Parabolic Matrix(2085,-7492,268,-963) (97/27,18/5) -> (70/9,39/5) Hyperbolic Matrix(133,-484,36,-131) (18/5,11/3) -> (11/3,26/7) Parabolic Matrix(6533,-24324,972,-3619) (67/18,175/47) -> (47/7,121/18) Hyperbolic Matrix(1265,-4838,302,-1155) (65/17,23/6) -> (67/16,21/5) Hyperbolic Matrix(545,-2312,128,-543) (55/13,17/4) -> (17/4,81/19) Parabolic Matrix(231,-1058,50,-229) (9/2,23/5) -> (23/5,37/8) Parabolic Matrix(1171,-5606,174,-833) (67/14,24/5) -> (74/11,27/4) Hyperbolic Matrix(49,-288,8,-47) (23/4,6/1) -> (6/1,25/4) Parabolic Matrix(793,-5310,102,-683) (20/3,67/10) -> (31/4,70/9) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,2,1) Matrix(745,352,1272,601) -> Matrix(3,-2,2,-1) Matrix(1373,644,420,197) -> Matrix(7,-2,4,-1) Matrix(1467,682,-3874,-1801) -> Matrix(11,-4,14,-5) Matrix(937,434,1358,629) -> Matrix(9,-4,-2,1) Matrix(933,428,412,189) -> Matrix(17,-10,12,-7) Matrix(823,376,1136,519) -> Matrix(3,-2,2,-1) Matrix(1327,600,1024,463) -> Matrix(3,-2,-4,3) Matrix(1427,644,308,139) -> Matrix(9,-8,8,-7) Matrix(1119,502,506,227) -> Matrix(1,0,0,1) Matrix(509,228,-2132,-955) -> Matrix(1,-2,2,-3) Matrix(2331,1042,302,135) -> Matrix(1,0,0,1) Matrix(1823,814,4450,1987) -> Matrix(3,-2,2,-1) Matrix(203,90,-706,-313) -> Matrix(1,0,0,1) Matrix(2207,974,1602,707) -> Matrix(5,-2,8,-3) Matrix(499,220,1404,619) -> Matrix(9,-4,-2,1) Matrix(601,264,1696,745) -> Matrix(11,-6,2,-1) Matrix(4591,2014,1794,787) -> Matrix(7,-4,2,-1) Matrix(1195,524,-5284,-2317) -> Matrix(3,-2,8,-5) Matrix(795,346,494,215) -> Matrix(3,-2,8,-5) Matrix(691,300,-3660,-1589) -> Matrix(35,-24,54,-37) Matrix(1485,644,196,85) -> Matrix(3,-2,-4,3) Matrix(4937,2138,3854,1669) -> Matrix(5,-4,-6,5) Matrix(7797,3374,5530,2393) -> Matrix(5,-4,14,-11) Matrix(2073,896,2464,1065) -> Matrix(3,-2,2,-1) Matrix(2361,1018,494,213) -> Matrix(5,-4,4,-3) Matrix(485,206,1754,745) -> Matrix(7,-6,6,-5) Matrix(3983,1688,1168,495) -> Matrix(1,4,0,1) Matrix(1945,824,2816,1193) -> Matrix(1,-2,0,1) Matrix(389,164,676,285) -> Matrix(1,0,-2,1) Matrix(871,366,1930,811) -> Matrix(1,0,-2,1) Matrix(1253,526,1546,649) -> Matrix(3,-2,2,-1) Matrix(673,282,1062,445) -> Matrix(3,-2,2,-1) Matrix(1151,478,1818,755) -> Matrix(7,-4,2,-1) Matrix(859,356,-4780,-1981) -> Matrix(1,-2,2,-3) Matrix(763,316,-2388,-989) -> Matrix(3,-2,8,-5) Matrix(953,394,670,277) -> Matrix(1,0,0,1) Matrix(287,118,-1238,-509) -> Matrix(1,0,0,1) Matrix(1045,428,188,77) -> Matrix(13,-10,4,-3) Matrix(1231,502,282,115) -> Matrix(1,0,0,1) Matrix(285,116,-1796,-731) -> Matrix(3,-2,8,-5) Matrix(1037,420,1316,533) -> Matrix(7,-6,6,-5) Matrix(1387,548,1020,403) -> Matrix(1,0,2,1) Matrix(2403,946,8126,3199) -> Matrix(3,4,2,3) Matrix(5537,2178,1294,509) -> Matrix(1,0,2,1) Matrix(827,324,-2116,-829) -> Matrix(1,0,2,1) Matrix(2023,790,274,107) -> Matrix(1,0,-2,1) Matrix(457,178,-1466,-571) -> Matrix(1,0,0,1) Matrix(733,284,1004,389) -> Matrix(1,0,-4,1) Matrix(275,106,454,175) -> Matrix(3,-2,2,-1) Matrix(271,104,456,175) -> Matrix(3,-2,2,-1) Matrix(907,346,270,103) -> Matrix(1,2,0,1) Matrix(453,172,1172,445) -> Matrix(3,-2,2,-1) Matrix(3067,1162,4326,1639) -> Matrix(5,-4,-6,5) Matrix(449,170,3246,1229) -> Matrix(5,-4,4,-3) Matrix(1259,476,812,307) -> Matrix(11,-10,10,-9) Matrix(91,34,-538,-201) -> Matrix(1,0,0,1) Matrix(2409,896,1960,729) -> Matrix(1,0,0,1) Matrix(803,298,-2762,-1025) -> Matrix(1,0,2,1) Matrix(1065,394,446,165) -> Matrix(1,0,0,1) Matrix(2743,1008,1064,391) -> Matrix(1,0,2,1) Matrix(267,98,1414,519) -> Matrix(3,-2,2,-1) Matrix(617,226,1062,389) -> Matrix(1,0,2,1) Matrix(967,350,1666,603) -> Matrix(1,0,-2,1) Matrix(1663,600,352,127) -> Matrix(7,-2,4,-1) Matrix(1223,440,1576,567) -> Matrix(1,0,-2,1) Matrix(8305,2984,6816,2449) -> Matrix(5,-2,18,-7) Matrix(5507,1978,4630,1663) -> Matrix(5,-2,-2,1) Matrix(1831,656,1136,407) -> Matrix(1,0,0,1) Matrix(697,248,1824,649) -> Matrix(3,-2,2,-1) Matrix(345,122,-1298,-459) -> Matrix(1,0,0,1) Matrix(863,304,88,31) -> Matrix(3,-2,2,-1) Matrix(3283,1154,862,303) -> Matrix(1,0,-2,1) Matrix(1813,636,2500,877) -> Matrix(1,0,-2,1) Matrix(601,210,518,181) -> Matrix(3,-2,2,-1) Matrix(427,148,-1884,-653) -> Matrix(1,-2,2,-3) Matrix(1075,346,494,159) -> Matrix(7,-2,4,-1) Matrix(573,182,658,209) -> Matrix(5,-2,-2,1) Matrix(2369,746,1718,541) -> Matrix(1,0,0,1) Matrix(3671,1152,1144,359) -> Matrix(5,-4,4,-3) Matrix(2857,896,896,281) -> Matrix(3,-2,2,-1) Matrix(4797,1492,1868,581) -> Matrix(1,0,-2,1) Matrix(7147,2220,4388,1363) -> Matrix(13,-4,10,-3) Matrix(1701,526,650,201) -> Matrix(3,-2,2,-1) Matrix(1051,322,1694,519) -> Matrix(1,0,-2,1) Matrix(4271,1304,5080,1551) -> Matrix(1,-2,2,-3) Matrix(11849,3616,6688,2041) -> Matrix(1,-2,-2,5) Matrix(1451,442,1126,343) -> Matrix(1,0,0,1) Matrix(323,98,1526,463) -> Matrix(1,2,0,1) Matrix(1523,460,884,267) -> Matrix(1,0,0,1) Matrix(957,284,556,165) -> Matrix(1,0,-4,1) Matrix(1271,376,240,71) -> Matrix(3,-2,2,-1) Matrix(955,282,2462,727) -> Matrix(1,0,-4,1) Matrix(397,116,948,277) -> Matrix(1,0,-2,1) Matrix(2609,760,1816,529) -> Matrix(5,-2,8,-3) Matrix(1497,434,238,69) -> Matrix(9,-4,-2,1) Matrix(5359,1550,3938,1139) -> Matrix(1,0,0,1) Matrix(155,44,236,67) -> Matrix(5,-2,-2,1) Matrix(235,66,-2026,-569) -> Matrix(7,-4,2,-1) Matrix(3735,1048,2648,743) -> Matrix(7,-4,16,-9) Matrix(1009,282,390,109) -> Matrix(3,-2,2,-1) Matrix(231,64,776,215) -> Matrix(7,-2,4,-1) Matrix(387,106,230,63) -> Matrix(3,-2,2,-1) Matrix(383,104,232,63) -> Matrix(3,-2,2,-1) Matrix(613,164,228,61) -> Matrix(1,0,-2,1) Matrix(9829,2606,7698,2041) -> Matrix(3,2,-2,-1) Matrix(1903,504,4648,1231) -> Matrix(3,-2,2,-1) Matrix(379,100,-1444,-381) -> Matrix(1,0,2,1) Matrix(153,40,1136,297) -> Matrix(1,0,-2,1) Matrix(2799,728,1288,335) -> Matrix(7,-2,4,-1) Matrix(6655,1728,1968,511) -> Matrix(15,-4,4,-1) Matrix(1283,332,228,59) -> Matrix(7,-4,2,-1) Matrix(1257,304,368,89) -> Matrix(15,-8,2,-1) Matrix(2579,618,1398,335) -> Matrix(3,-2,8,-5) Matrix(1543,366,586,139) -> Matrix(1,0,-2,1) Matrix(145,34,806,189) -> Matrix(17,-10,12,-7) Matrix(2849,664,1240,289) -> Matrix(31,-20,14,-9) Matrix(509,116,724,165) -> Matrix(1,0,-2,1) Matrix(6809,1544,1592,361) -> Matrix(3,-2,8,-5) Matrix(6151,1392,10424,2359) -> Matrix(1,0,0,1) Matrix(1371,308,868,195) -> Matrix(5,-4,4,-3) Matrix(789,172,500,109) -> Matrix(3,-2,2,-1) Matrix(1145,248,928,201) -> Matrix(3,-2,2,-1) Matrix(1427,308,644,139) -> Matrix(1,0,0,1) Matrix(497,106,286,61) -> Matrix(1,0,0,1) Matrix(2053,430,1418,297) -> Matrix(5,-2,8,-3) Matrix(2123,444,2692,563) -> Matrix(7,-2,4,-1) Matrix(1059,220,284,59) -> Matrix(9,-4,-2,1) Matrix(1811,354,486,95) -> Matrix(5,-2,-2,1) Matrix(1733,334,1458,281) -> Matrix(3,-2,2,-1) Matrix(2219,426,1870,359) -> Matrix(7,-4,2,-1) Matrix(1939,370,414,79) -> Matrix(17,-10,12,-7) Matrix(137,26,1038,197) -> Matrix(3,-2,8,-5) Matrix(2969,560,896,169) -> Matrix(79,-52,38,-25) Matrix(343,64,552,103) -> Matrix(3,-2,-4,3) Matrix(5671,1022,3346,603) -> Matrix(3,-2,-4,3) Matrix(4637,830,2866,513) -> Matrix(3,-2,2,-1) Matrix(1157,206,410,73) -> Matrix(7,-6,6,-5) Matrix(951,166,338,59) -> Matrix(3,-4,4,-5) Matrix(1083,188,1492,259) -> Matrix(1,-2,0,1) Matrix(1487,256,1760,303) -> Matrix(1,0,0,1) Matrix(2741,444,1068,173) -> Matrix(1,0,-2,1) Matrix(199,32,1536,247) -> Matrix(1,0,-2,1) Matrix(5461,870,2266,361) -> Matrix(7,-2,4,-1) Matrix(331,52,732,115) -> Matrix(1,0,-2,1) Matrix(131,20,596,91) -> Matrix(5,-2,-2,1) Matrix(659,98,854,127) -> Matrix(3,-2,8,-5) Matrix(715,98,518,71) -> Matrix(3,-2,2,-1) Matrix(257,34,582,77) -> Matrix(13,-10,4,-3) Matrix(829,100,572,69) -> Matrix(3,-4,4,-5) Matrix(443,50,62,7) -> Matrix(1,0,0,1) Matrix(563,60,1004,107) -> Matrix(1,0,0,1) Matrix(433,40,184,17) -> Matrix(7,-4,2,-1) Matrix(929,-80,360,-31) -> Matrix(3,-4,4,-5) Matrix(809,-86,254,-27) -> Matrix(1,0,0,1) Matrix(855,-98,602,-69) -> Matrix(1,-4,2,-7) Matrix(4271,-546,2730,-349) -> Matrix(3,4,2,3) Matrix(4627,-636,1084,-149) -> Matrix(1,0,2,1) Matrix(437,-66,682,-103) -> Matrix(7,-4,2,-1) Matrix(193,-30,534,-83) -> Matrix(3,-2,-4,3) Matrix(525,-92,428,-75) -> Matrix(3,-4,4,-5) Matrix(1807,-322,1330,-237) -> Matrix(3,-4,10,-13) Matrix(709,-132,188,-35) -> Matrix(3,-4,-2,3) Matrix(235,-46,46,-9) -> Matrix(1,0,0,1) Matrix(511,-106,834,-173) -> Matrix(1,0,0,1) Matrix(1479,-314,1154,-245) -> Matrix(1,-2,-2,5) Matrix(231,-50,1058,-229) -> Matrix(1,-10,0,1) Matrix(365,-82,138,-31) -> Matrix(1,0,0,1) Matrix(499,-116,228,-53) -> Matrix(1,2,0,1) Matrix(497,-118,1630,-387) -> Matrix(5,2,2,1) Matrix(1039,-250,586,-141) -> Matrix(1,0,0,1) Matrix(133,-34,90,-23) -> Matrix(1,0,0,1) Matrix(709,-188,132,-35) -> Matrix(7,-4,2,-1) Matrix(133,-36,484,-131) -> Matrix(11,-10,10,-9) Matrix(1667,-462,350,-97) -> Matrix(3,-4,4,-5) Matrix(3415,-952,1008,-281) -> Matrix(5,-8,2,-3) Matrix(3807,-1064,2408,-673) -> Matrix(1,-2,2,-3) Matrix(1269,-356,524,-147) -> Matrix(1,-2,2,-3) Matrix(173,-50,218,-63) -> Matrix(1,-2,2,-3) Matrix(3415,-1008,952,-281) -> Matrix(5,-8,2,-3) Matrix(10157,-3002,2162,-639) -> Matrix(1,0,0,1) Matrix(3803,-1126,2246,-665) -> Matrix(11,-16,-2,3) Matrix(989,-300,300,-91) -> Matrix(11,-24,6,-13) Matrix(2745,-838,3862,-1179) -> Matrix(1,-2,-4,9) Matrix(985,-302,1758,-539) -> Matrix(1,-2,0,1) Matrix(1327,-410,1026,-317) -> Matrix(1,-4,0,1) Matrix(1539,-478,982,-305) -> Matrix(3,-8,2,-5) Matrix(1193,-376,936,-295) -> Matrix(1,-4,0,1) Matrix(43,-14,126,-41) -> Matrix(1,-2,0,1) Matrix(2119,-738,290,-101) -> Matrix(1,0,0,1) Matrix(3529,-1232,1120,-391) -> Matrix(3,-2,2,-1) Matrix(1409,-494,830,-291) -> Matrix(1,0,0,1) Matrix(535,-192,248,-89) -> Matrix(3,4,2,3) Matrix(2223,-802,1810,-653) -> Matrix(1,2,0,1) Matrix(779,-286,286,-105) -> Matrix(1,0,-4,1) Matrix(449,-166,614,-227) -> Matrix(1,0,-4,1) Matrix(365,-138,82,-31) -> Matrix(1,0,0,1) Matrix(1825,-696,1256,-479) -> Matrix(1,-2,2,-3) Matrix(1053,-404,404,-155) -> Matrix(1,0,0,1) Matrix(7751,-3002,2946,-1141) -> Matrix(1,-6,0,1) Matrix(929,-360,80,-31) -> Matrix(1,4,0,1) Matrix(81,-32,200,-79) -> Matrix(3,-2,2,-1) Matrix(4489,-1840,3296,-1351) -> Matrix(1,-2,2,-3) Matrix(4049,-1662,2502,-1027) -> Matrix(3,-4,4,-5) Matrix(1269,-524,356,-147) -> Matrix(1,2,0,1) Matrix(357,-148,316,-131) -> Matrix(1,-2,2,-3) Matrix(3825,-1606,2446,-1027) -> Matrix(5,-4,4,-3) Matrix(1931,-812,868,-365) -> Matrix(3,-4,4,-5) Matrix(393,-166,670,-283) -> Matrix(1,-2,2,-3) Matrix(273,-118,118,-51) -> Matrix(1,0,0,1) Matrix(583,-256,312,-137) -> Matrix(1,-2,0,1) Matrix(2255,-994,1554,-685) -> Matrix(1,-2,0,1) Matrix(619,-276,388,-173) -> Matrix(1,-4,0,1) Matrix(1931,-868,812,-365) -> Matrix(1,4,0,1) Matrix(499,-228,116,-53) -> Matrix(1,-2,2,-3) Matrix(535,-248,192,-89) -> Matrix(1,-4,2,-7) Matrix(583,-312,256,-137) -> Matrix(3,-2,2,-1) Matrix(2181,-1178,1346,-727) -> Matrix(3,2,4,3) Matrix(871,-474,362,-197) -> Matrix(1,2,0,1) Matrix(181,-100,324,-179) -> Matrix(1,0,2,1) Matrix(1219,-684,180,-101) -> Matrix(1,0,-2,1) Matrix(215,-122,178,-101) -> Matrix(1,0,0,1) Matrix(1349,-780,780,-451) -> Matrix(1,0,-2,1) Matrix(1135,-658,602,-349) -> Matrix(1,0,0,1) Matrix(1201,-702,142,-83) -> Matrix(5,-4,4,-3) Matrix(1449,-848,176,-103) -> Matrix(1,-2,2,-3) Matrix(7805,-4572,4908,-2875) -> Matrix(1,4,0,1) Matrix(1409,-830,494,-291) -> Matrix(1,0,0,1) Matrix(17083,-10078,10918,-6441) -> Matrix(5,-4,4,-3) Matrix(3803,-2246,1126,-665) -> Matrix(19,-16,6,-5) Matrix(1183,-722,834,-509) -> Matrix(1,-4,2,-7) Matrix(3751,-2296,1008,-617) -> Matrix(1,-6,0,1) Matrix(4199,-2576,1736,-1065) -> Matrix(1,-2,0,1) Matrix(833,-512,1352,-831) -> Matrix(1,-8,0,1) Matrix(6061,-3738,4746,-2927) -> Matrix(3,14,-2,-9) Matrix(2181,-1346,1178,-727) -> Matrix(1,2,2,5) Matrix(4431,-2738,1730,-1069) -> Matrix(1,2,0,1) Matrix(5641,-3488,4048,-2503) -> Matrix(1,4,2,9) Matrix(3633,-2248,2248,-1391) -> Matrix(1,0,2,1) Matrix(1107,-686,518,-321) -> Matrix(5,6,4,5) Matrix(619,-390,446,-281) -> Matrix(1,-2,4,-7) Matrix(3807,-2408,1064,-673) -> Matrix(1,2,0,1) Matrix(1539,-982,478,-305) -> Matrix(3,-8,2,-5) Matrix(3825,-2446,1606,-1027) -> Matrix(1,-4,0,1) Matrix(2423,-1554,1330,-853) -> Matrix(1,-4,2,-7) Matrix(375,-242,578,-373) -> Matrix(1,-12,0,1) Matrix(133,-90,34,-23) -> Matrix(1,0,0,1) Matrix(1825,-1256,696,-479) -> Matrix(1,2,0,1) Matrix(429,-298,298,-207) -> Matrix(1,0,2,1) Matrix(1183,-834,722,-509) -> Matrix(3,4,2,3) Matrix(1871,-1322,426,-301) -> Matrix(3,4,2,3) Matrix(2263,-1602,1770,-1253) -> Matrix(7,6,-6,-5) Matrix(3341,-2370,2818,-1999) -> Matrix(1,0,2,1) Matrix(1965,-1396,556,-395) -> Matrix(5,2,2,1) Matrix(3993,-2840,1832,-1303) -> Matrix(3,-2,2,-1) Matrix(619,-446,390,-281) -> Matrix(5,2,2,1) Matrix(1885,-1364,1364,-987) -> Matrix(1,0,0,1) Matrix(97,-72,128,-95) -> Matrix(1,0,4,1) Matrix(4473,-3424,1744,-1335) -> Matrix(1,0,-4,1) Matrix(2409,-1846,2854,-2187) -> Matrix(1,0,-2,1) Matrix(1425,-1094,254,-195) -> Matrix(7,-4,2,-1) Matrix(2467,-1902,1454,-1121) -> Matrix(1,0,-2,1) Matrix(1327,-1026,410,-317) -> Matrix(5,-4,4,-3) Matrix(3597,-2786,1610,-1247) -> Matrix(13,-12,12,-11) Matrix(1479,-1154,314,-245) -> Matrix(7,-2,4,-1) Matrix(2263,-1770,1602,-1253) -> Matrix(11,-6,24,-13) Matrix(4963,-3886,3046,-2385) -> Matrix(17,-10,12,-7) Matrix(5809,-4552,4552,-3567) -> Matrix(11,-8,-4,3) Matrix(1193,-936,376,-295) -> Matrix(5,-4,4,-3) Matrix(1065,-838,502,-395) -> Matrix(13,-12,12,-11) Matrix(721,-568,344,-271) -> Matrix(5,-6,6,-7) Matrix(651,-526,526,-425) -> Matrix(1,0,0,1) Matrix(525,-428,92,-75) -> Matrix(1,4,0,1) Matrix(215,-178,122,-101) -> Matrix(1,0,0,1) Matrix(1217,-1022,518,-435) -> Matrix(1,2,0,1) Matrix(3341,-2818,2370,-1999) -> Matrix(1,0,2,1) Matrix(575,-488,152,-129) -> Matrix(1,-2,0,1) Matrix(391,-338,450,-389) -> Matrix(1,-4,0,1) Matrix(357,-316,148,-131) -> Matrix(1,2,0,1) Matrix(291,-326,158,-177) -> Matrix(1,0,0,1) Matrix(391,-450,338,-389) -> Matrix(5,-4,4,-3) Matrix(283,-332,52,-61) -> Matrix(1,2,0,1) Matrix(2615,-3098,1922,-2277) -> Matrix(1,0,2,1) Matrix(1787,-2132,1124,-1341) -> Matrix(1,4,0,1) Matrix(631,-768,152,-185) -> Matrix(1,0,0,1) Matrix(10023,-12208,5656,-6889) -> Matrix(1,0,-8,1) Matrix(3205,-3908,1892,-2307) -> Matrix(5,-2,-2,1) Matrix(2551,-3160,976,-1209) -> Matrix(1,0,0,1) Matrix(173,-218,50,-63) -> Matrix(1,2,0,1) Matrix(911,-1162,98,-125) -> Matrix(1,4,0,1) Matrix(18401,-23486,10382,-13251) -> Matrix(1,2,8,17) Matrix(25633,-32720,14464,-18463) -> Matrix(1,2,-14,-27) Matrix(5381,-6884,1228,-1571) -> Matrix(13,12,14,13) Matrix(6483,-8300,1916,-2453) -> Matrix(5,2,2,1) Matrix(4889,-6310,2054,-2651) -> Matrix(1,-6,0,1) Matrix(2981,-3852,1612,-2083) -> Matrix(1,2,2,5) Matrix(829,-1076,292,-379) -> Matrix(1,0,2,1) Matrix(97,-128,72,-95) -> Matrix(1,0,4,1) Matrix(9629,-13108,2300,-3131) -> Matrix(1,0,-2,1) Matrix(9129,-12430,2182,-2971) -> Matrix(3,-2,2,-1) Matrix(449,-614,166,-227) -> Matrix(1,0,-4,1) Matrix(2585,-3574,494,-683) -> Matrix(17,2,8,1) Matrix(1833,-2536,352,-487) -> Matrix(19,-2,10,-1) Matrix(891,-1238,398,-553) -> Matrix(19,-6,16,-5) Matrix(2201,-3064,936,-1303) -> Matrix(21,-8,8,-3) Matrix(2993,-4174,702,-979) -> Matrix(5,-2,18,-7) Matrix(1675,-2356,396,-557) -> Matrix(1,0,-2,1) Matrix(4279,-6024,1768,-2489) -> Matrix(1,0,-2,1) Matrix(6775,-9576,2576,-3641) -> Matrix(37,-18,-2,1) Matrix(1461,-2068,556,-787) -> Matrix(7,-4,2,-1) Matrix(3935,-5586,1666,-2365) -> Matrix(3,-2,2,-1) Matrix(1519,-2178,1058,-1517) -> Matrix(1,0,0,1) Matrix(2803,-4086,1230,-1793) -> Matrix(7,-2,4,-1) Matrix(2049,-2990,638,-931) -> Matrix(5,-4,4,-3) Matrix(375,-578,242,-373) -> Matrix(13,-12,12,-11) Matrix(437,-682,66,-103) -> Matrix(3,-4,-2,3) Matrix(2359,-3690,218,-341) -> Matrix(11,-14,4,-5) Matrix(27729,-43390,11638,-18211) -> Matrix(3,-4,-2,3) Matrix(2663,-4170,698,-1093) -> Matrix(3,-4,-2,3) Matrix(1627,-2574,390,-617) -> Matrix(1,-2,2,-3) Matrix(6401,-10174,3958,-6291) -> Matrix(3,-10,4,-13) Matrix(4731,-7532,1988,-3165) -> Matrix(1,-14,0,1) Matrix(1607,-2594,578,-933) -> Matrix(3,-2,8,-5) Matrix(21593,-34910,6014,-9723) -> Matrix(59,-38,14,-9) Matrix(25273,-40864,7040,-11383) -> Matrix(61,-42,16,-11) Matrix(7831,-12666,3594,-5813) -> Matrix(17,-12,10,-7) Matrix(3591,-5816,1112,-1801) -> Matrix(5,-4,4,-3) Matrix(833,-1352,512,-831) -> Matrix(9,-8,8,-7) Matrix(1661,-2708,468,-763) -> Matrix(5,-8,2,-3) Matrix(511,-834,106,-173) -> Matrix(1,0,0,1) Matrix(551,-904,64,-105) -> Matrix(1,0,0,1) Matrix(13963,-23668,5860,-9933) -> Matrix(1,0,0,1) Matrix(393,-670,166,-283) -> Matrix(1,2,0,1) Matrix(1829,-3154,802,-1383) -> Matrix(3,-2,2,-1) Matrix(1517,-2626,554,-959) -> Matrix(1,0,10,1) Matrix(3759,-6656,1112,-1969) -> Matrix(7,10,2,3) Matrix(3107,-5516,868,-1541) -> Matrix(1,4,0,1) Matrix(181,-324,100,-179) -> Matrix(1,0,2,1) Matrix(6137,-11168,1648,-2999) -> Matrix(9,-4,-2,1) Matrix(6413,-11676,2660,-4843) -> Matrix(3,-2,2,-1) Matrix(515,-942,158,-289) -> Matrix(7,-2,4,-1) Matrix(2777,-5118,414,-763) -> Matrix(1,0,-2,1) Matrix(3677,-6796,1140,-2107) -> Matrix(7,-2,4,-1) Matrix(443,-844,116,-221) -> Matrix(1,0,-2,1) Matrix(1921,-4184,264,-575) -> Matrix(1,-2,2,-3) Matrix(1509,-3364,676,-1507) -> Matrix(23,-22,22,-21) Matrix(1661,-3770,634,-1439) -> Matrix(5,-8,2,-3) Matrix(8623,-19656,2408,-5489) -> Matrix(17,-30,4,-7) Matrix(1327,-3042,578,-1325) -> Matrix(21,-40,10,-19) Matrix(2951,-6962,1250,-2949) -> Matrix(1,-6,0,1) Matrix(17119,-40786,4834,-11517) -> Matrix(1,4,0,1) Matrix(1937,-4616,248,-591) -> Matrix(1,0,2,1) Matrix(2611,-6294,246,-593) -> Matrix(1,0,0,1) Matrix(4585,-11094,1294,-3131) -> Matrix(1,2,0,1) Matrix(81,-200,32,-79) -> Matrix(1,-2,0,1) Matrix(5517,-14140,1540,-3947) -> Matrix(1,6,0,1) Matrix(16153,-41414,4510,-11563) -> Matrix(9,4,2,1) Matrix(6351,-16384,1768,-4561) -> Matrix(11,-6,2,-1) Matrix(2189,-5652,500,-1291) -> Matrix(5,-6,6,-7) Matrix(5023,-13122,1922,-5021) -> Matrix(1,0,0,1) Matrix(1231,-3362,450,-1229) -> Matrix(1,0,22,1) Matrix(193,-534,30,-83) -> Matrix(5,-2,-2,1) Matrix(2383,-6632,696,-1937) -> Matrix(13,-6,-2,1) Matrix(43,-126,14,-41) -> Matrix(3,-2,2,-1) Matrix(3363,-10580,500,-1573) -> Matrix(3,-4,-2,3) Matrix(7167,-22570,1066,-3357) -> Matrix(3,-4,-2,3) Matrix(1725,-5444,404,-1275) -> Matrix(1,-2,4,-7) Matrix(14311,-46168,3048,-9833) -> Matrix(19,-34,14,-25) Matrix(15051,-48566,3206,-10345) -> Matrix(5,-14,4,-11) Matrix(497,-1630,118,-387) -> Matrix(1,-2,4,-7) Matrix(1119,-3698,338,-1117) -> Matrix(53,-104,26,-51) Matrix(10017,-33886,2134,-7219) -> Matrix(3,-8,2,-5) Matrix(663,-2248,64,-217) -> Matrix(5,-18,2,-7) Matrix(2103,-7138,586,-1989) -> Matrix(1,0,0,1) Matrix(2471,-8450,722,-2469) -> Matrix(1,-18,0,1) Matrix(9695,-34322,2738,-9693) -> Matrix(1,0,0,1) Matrix(2085,-7492,268,-963) -> Matrix(1,-4,2,-7) Matrix(133,-484,36,-131) -> Matrix(1,-10,0,1) Matrix(6533,-24324,972,-3619) -> Matrix(1,4,0,1) Matrix(1265,-4838,302,-1155) -> Matrix(1,0,0,1) Matrix(545,-2312,128,-543) -> Matrix(1,0,4,1) Matrix(231,-1058,50,-229) -> Matrix(11,-10,10,-9) Matrix(1171,-5606,174,-833) -> Matrix(1,-2,0,1) Matrix(49,-288,8,-47) -> Matrix(1,-8,0,1) Matrix(793,-5310,102,-683) -> Matrix(1,0,4,1) 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): 96 Degree of the the map X: 96 Degree of the the map Y: 384 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1152 Minimal number of generators: 193 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: 72 Genus: 61 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 1/7 1/6 3/11 5/16 1/3 2/5 5/9 3/5 8/13 5/7 3/4 7/9 1/1 15/13 11/9 157/123 9/7 4/3 65/47 7/5 33/23 17/11 43/27 173/107 13/8 5/3 9/5 2/1 24/11 11/5 29/13 39/17 59/25 17/7 5/2 141/55 13/5 81/31 41/15 3/1 85/27 16/5 171/53 43/13 65/19 131/37 25/7 11/3 19/5 4/1 21/5 17/4 13/3 23/5 5/1 16/3 27/5 11/2 17/3 23/4 6/1 19/3 13/2 20/3 27/4 7/1 15/2 8/1 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 0/1 1/1 1/10 1/0 1/9 2/1 1/8 1/0 2/15 1/1 1/7 0/1 2/13 3/5 1/6 1/1 3/17 1/1 2/11 1/1 3/16 3/2 1/5 2/1 4/19 1/1 3/14 1/0 5/23 1/0 2/9 -1/1 3/13 -2/1 0/1 4/17 0/1 5/21 0/1 1/4 1/2 5/19 0/1 2/3 4/15 1/1 3/11 1/1 8/29 1/1 5/18 5/4 12/43 1/1 7/25 4/3 2/7 1/1 5/17 4/3 3/10 7/4 7/23 2/1 18/59 2/1 11/36 5/2 4/13 3/1 9/29 2/1 5/16 1/0 6/19 1/1 1/3 1/0 8/23 -1/1 15/43 0/1 7/20 1/0 6/17 1/1 5/14 1/0 9/25 0/1 13/36 -1/1 4/11 -1/3 7/19 0/1 3/8 1/2 8/21 1/1 13/34 1/0 5/13 0/1 7/18 1/2 2/5 1/1 9/22 1/0 25/61 2/1 16/39 1/1 7/17 2/1 12/29 1/1 5/12 1/0 8/19 1/1 3/7 2/1 7/16 5/2 11/25 3/1 4/9 3/1 13/29 1/0 9/20 1/0 5/11 0/1 2/1 6/13 3/1 1/2 1/0 7/13 1/0 13/24 1/0 6/11 -1/1 5/9 0/1 14/25 1/1 23/41 0/1 9/16 1/0 4/7 1/1 11/19 0/1 7/12 1/2 31/53 1/1 24/41 1/1 17/29 0/1 10/17 1/1 3/5 0/1 2/1 11/18 1/0 30/49 1/1 19/31 2/1 27/44 1/0 8/13 1/0 37/60 1/0 29/47 -3/1 21/34 1/0 34/55 -3/1 47/76 -5/2 13/21 -2/1 5/8 1/2 12/19 3/1 7/11 2/1 23/36 1/0 16/25 1/1 25/39 4/1 9/14 1/0 11/17 1/0 2/3 -1/1 11/16 1/0 20/29 1/0 9/13 -2/1 7/10 1/0 12/17 -1/1 29/41 -1/1 17/24 -3/4 22/31 -1/1 27/38 -1/2 32/45 0/1 5/7 -1/1 13/18 -1/4 21/29 0/1 8/11 -1/1 11/15 0/1 3/4 0/1 13/17 0/1 36/47 1/3 23/30 1/2 10/13 1/3 17/22 1/2 24/31 1/1 7/9 0/1 25/32 1/2 18/23 3/5 47/60 9/14 29/37 2/3 11/14 3/4 37/47 1/1 26/33 1/1 15/19 2/1 4/5 1/1 13/16 1/0 9/11 1/0 5/6 1/0 21/25 0/1 16/19 1/1 27/32 1/0 11/13 0/1 2/1 6/7 1/1 13/15 1/0 7/8 1/0 1/1 0/1 9/8 1/2 8/7 1/1 15/13 1/1 7/6 1/0 13/11 0/1 2/1 32/27 1/1 19/16 1/0 25/21 0/1 6/5 1/1 17/14 1/0 28/23 -1/1 39/32 1/2 11/9 1/1 27/22 1/1 16/13 1/1 5/4 1/0 14/11 -3/1 51/40 1/0 37/29 -2/1 97/76 -13/6 157/123 -2/1 60/47 -9/5 23/18 -3/2 55/43 -1/1 32/25 -1/1 9/7 0/1 31/24 1/0 53/41 -2/1 22/17 -1/1 13/10 -1/2 4/3 0/1 19/14 1/2 34/25 1/3 49/36 1/2 113/83 1/2 64/47 1/1 15/11 0/1 11/8 1/2 29/21 0/1 47/34 -1/4 65/47 0/1 18/13 1/5 25/18 3/10 32/23 1/3 39/28 3/8 46/33 1/3 7/5 1/2 38/27 1/3 31/22 1/2 24/17 3/7 65/46 1/2 41/29 1/2 17/12 1/2 10/7 1/1 33/23 0/1 2/3 23/16 1/2 13/9 2/3 29/20 1/1 16/11 1/1 35/24 1/2 19/13 0/1 2/3 3/2 1/2 17/11 1/1 14/9 1/1 25/16 1/0 36/23 1/1 47/30 3/2 11/7 2/1 19/12 3/2 27/17 3/1 62/39 5/1 35/22 1/0 43/27 1/0 8/5 -1/1 21/13 2/3 97/60 5/8 173/107 2/3 76/47 5/7 131/81 1/1 55/34 3/4 34/21 1/1 81/50 3/4 47/29 3/4 13/8 1/1 57/35 5/4 44/27 1/1 31/19 2/1 18/11 1/1 5/3 0/1 2/1 17/10 1/0 12/7 -1/1 19/11 0/1 7/4 1/0 23/13 1/0 62/35 -1/1 39/22 1/2 55/31 0/1 16/9 1/1 9/5 0/1 20/11 1/3 71/39 0/1 51/28 1/2 31/17 0/1 11/6 1/2 35/19 0/1 24/13 1/1 61/33 0/1 37/20 1/2 13/7 1/1 15/8 1/2 2/1 1/1 15/7 4/3 13/6 3/2 37/17 2/1 61/28 3/2 85/39 5/3 24/11 2/1 11/5 0/1 2/1 20/9 1/1 29/13 1/1 38/17 1/1 9/4 3/2 25/11 3/2 41/18 3/2 16/7 5/3 39/17 2/1 23/10 5/2 7/3 2/1 33/14 1/0 59/25 1/0 26/11 1/1 19/8 1/0 12/5 1/1 53/22 1/0 41/17 2/1 29/12 1/0 75/31 0/1 121/50 1/0 46/19 1/1 17/7 2/1 5/2 1/0 23/9 0/1 41/16 1/0 141/55 -1/1 100/39 -1/1 59/23 0/1 18/7 -1/1 13/5 0/1 47/18 1/0 81/31 0/1 2/1 34/13 1/1 21/8 1/0 29/11 -2/1 0/1 8/3 -1/1 19/7 0/1 30/11 -1/7 41/15 0/1 11/4 1/4 25/9 0/1 39/14 1/2 14/5 1/1 17/6 1/0 20/7 1/1 3/1 1/1 22/7 1/1 85/27 4/3 2/1 63/20 3/2 41/13 2/1 19/6 1/0 35/11 2/1 16/5 1/1 45/14 3/2 29/9 2/1 100/31 5/3 171/53 2/1 71/22 1/0 42/13 1/1 13/4 3/2 36/11 5/3 23/7 2/1 33/10 19/10 43/13 2/1 10/3 7/3 17/5 4/1 41/12 1/0 65/19 1/0 24/7 -1/1 7/2 1/0 46/13 3/1 131/37 2/1 4/1 85/24 1/0 39/11 2/1 32/9 3/1 25/7 4/1 43/12 1/0 18/5 5/1 11/3 1/0 26/7 -5/1 15/4 1/0 34/9 -1/1 19/5 -2/1 0/1 42/11 -1/1 23/6 1/0 4/1 -1/1 25/6 1/0 21/5 0/1 38/9 1/1 55/13 1/0 17/4 0/1 81/19 1/4 64/15 1/3 47/11 0/1 30/7 1/3 13/3 0/1 2/3 22/5 1/1 9/2 1/2 23/5 1/1 14/3 1/1 19/4 1/0 24/5 1/1 5/1 2/1 16/3 3/1 27/5 2/1 4/1 11/2 1/0 17/3 1/0 23/4 1/0 6/1 1/0 19/3 -2/1 13/2 -3/2 20/3 -1/1 47/7 0/1 27/4 -1/2 7/1 0/1 15/2 1/0 8/1 1/1 9/1 2/1 10/1 1/1 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(0,-1,1,2) (-1/1,1/0) -> (-1/1,0/1) Parabolic Matrix(412,-35,259,-22) (0/1,1/10) -> (62/39,35/22) Hyperbolic Matrix(304,-31,255,-26) (1/10,1/9) -> (25/21,6/5) Hyperbolic Matrix(352,-41,601,-70) (1/9,1/8) -> (24/41,17/29) Hyperbolic Matrix(644,-85,197,-26) (1/8,2/15) -> (13/4,36/11) Hyperbolic Matrix(542,-73,297,-40) (2/15,1/7) -> (31/17,11/6) Hyperbolic Matrix(437,-66,682,-103) (1/7,2/13) -> (16/25,25/39) Hyperbolic Matrix(193,-30,534,-83) (2/13,1/6) -> (13/36,4/11) Hyperbolic Matrix(525,-92,428,-75) (1/6,3/17) -> (11/9,27/22) Hyperbolic Matrix(428,-77,189,-34) (3/17,2/11) -> (9/4,25/11) Hyperbolic Matrix(709,-132,188,-35) (2/11,3/16) -> (15/4,34/9) Hyperbolic Matrix(376,-71,519,-98) (3/16,1/5) -> (21/29,8/11) Hyperbolic Matrix(511,-106,834,-173) (1/5,4/19) -> (30/49,19/31) Hyperbolic Matrix(600,-127,463,-98) (4/19,3/14) -> (22/17,13/10) Hyperbolic Matrix(644,-139,139,-30) (3/14,5/23) -> (23/5,14/3) Hyperbolic Matrix(414,-91,91,-20) (5/23,2/9) -> (9/2,23/5) Hyperbolic Matrix(365,-82,138,-31) (2/9,3/13) -> (29/11,8/3) Hyperbolic Matrix(499,-116,228,-53) (3/13,4/17) -> (24/11,11/5) Hyperbolic Matrix(497,-118,1630,-387) (4/17,5/21) -> (7/23,18/59) Hyperbolic Matrix(1039,-250,586,-141) (5/21,1/4) -> (39/22,55/31) Hyperbolic Matrix(133,-34,90,-23) (1/4,5/19) -> (19/13,3/2) Hyperbolic Matrix(709,-188,132,-35) (5/19,4/15) -> (16/3,27/5) Hyperbolic Matrix(133,-36,484,-131) (4/15,3/11) -> (3/11,8/29) Parabolic Matrix(264,-73,745,-206) (8/29,5/18) -> (6/17,5/14) Hyperbolic Matrix(1840,-513,2977,-830) (5/18,12/43) -> (21/34,34/55) Hyperbolic Matrix(2014,-563,787,-220) (12/43,7/25) -> (23/9,41/16) Hyperbolic Matrix(1269,-356,524,-147) (7/25,2/7) -> (46/19,17/7) Hyperbolic Matrix(173,-50,218,-63) (2/7,5/17) -> (15/19,4/5) Hyperbolic Matrix(346,-103,215,-64) (5/17,3/10) -> (8/5,21/13) Hyperbolic Matrix(989,-300,300,-91) (3/10,7/23) -> (23/7,33/10) Hyperbolic Matrix(2745,-838,3862,-1179) (18/59,11/36) -> (27/38,32/45) Hyperbolic Matrix(644,-197,85,-26) (11/36,4/13) -> (15/2,8/1) Hyperbolic Matrix(1327,-410,1026,-317) (4/13,9/29) -> (53/41,22/17) Hyperbolic Matrix(1539,-478,982,-305) (9/29,5/16) -> (47/30,11/7) Hyperbolic Matrix(1193,-376,936,-295) (5/16,6/19) -> (14/11,51/40) Hyperbolic Matrix(43,-14,126,-41) (6/19,1/3) -> (1/3,8/23) Parabolic Matrix(2242,-781,333,-116) (8/23,15/43) -> (47/7,27/4) Hyperbolic Matrix(3529,-1232,1120,-391) (15/43,7/20) -> (63/20,41/13) Hyperbolic Matrix(788,-277,165,-58) (7/20,6/17) -> (19/4,24/5) Hyperbolic Matrix(535,-192,248,-89) (5/14,9/25) -> (15/7,13/6) Hyperbolic Matrix(824,-297,1193,-430) (9/25,13/36) -> (20/29,9/13) Hyperbolic Matrix(779,-286,286,-105) (4/11,7/19) -> (19/7,30/11) Hyperbolic Matrix(164,-61,285,-106) (7/19,3/8) -> (4/7,11/19) Hyperbolic Matrix(365,-138,82,-31) (3/8,8/21) -> (22/5,9/2) Hyperbolic Matrix(526,-201,649,-248) (8/21,13/34) -> (4/5,13/16) Hyperbolic Matrix(1053,-404,404,-155) (13/34,5/13) -> (13/5,47/18) Hyperbolic Matrix(282,-109,445,-172) (5/13,7/18) -> (12/19,7/11) Hyperbolic Matrix(81,-32,200,-79) (7/18,2/5) -> (2/5,9/22) Parabolic Matrix(2186,-895,1231,-504) (9/22,25/61) -> (55/31,16/9) Hyperbolic Matrix(4489,-1840,3296,-1351) (25/61,16/39) -> (64/47,15/11) Hyperbolic Matrix(1706,-701,477,-196) (16/39,7/17) -> (25/7,43/12) Hyperbolic Matrix(1269,-524,356,-147) (7/17,12/29) -> (32/9,25/7) Hyperbolic Matrix(357,-148,316,-131) (12/29,5/12) -> (9/8,8/7) Hyperbolic Matrix(394,-165,277,-116) (5/12,8/19) -> (17/12,10/7) Hyperbolic Matrix(393,-166,670,-283) (8/19,3/7) -> (17/29,10/17) Hyperbolic Matrix(273,-118,118,-51) (3/7,7/16) -> (23/10,7/3) Hyperbolic Matrix(583,-256,312,-137) (7/16,11/25) -> (13/7,15/8) Hyperbolic Matrix(428,-189,77,-34) (11/25,4/9) -> (11/2,17/3) Hyperbolic Matrix(619,-276,388,-173) (4/9,13/29) -> (43/27,8/5) Hyperbolic Matrix(928,-417,1313,-590) (13/29,9/20) -> (12/17,29/41) Hyperbolic Matrix(502,-227,115,-52) (9/20,5/11) -> (13/3,22/5) Hyperbolic Matrix(499,-228,116,-53) (5/11,6/13) -> (30/7,13/3) Hyperbolic Matrix(535,-248,192,-89) (6/13,1/2) -> (39/14,14/5) Hyperbolic Matrix(583,-312,256,-137) (1/2,7/13) -> (25/11,41/18) Hyperbolic Matrix(2181,-1178,1346,-727) (7/13,13/24) -> (81/50,47/29) Hyperbolic Matrix(871,-474,362,-197) (13/24,6/11) -> (12/5,53/22) Hyperbolic Matrix(181,-100,324,-179) (6/11,5/9) -> (5/9,14/25) Parabolic Matrix(790,-443,107,-60) (14/25,23/41) -> (7/1,15/2) Hyperbolic Matrix(1219,-684,180,-101) (23/41,9/16) -> (27/4,7/1) Hyperbolic Matrix(215,-122,178,-101) (9/16,4/7) -> (6/5,17/14) Hyperbolic Matrix(284,-165,389,-226) (11/19,7/12) -> (8/11,11/15) Hyperbolic Matrix(2086,-1219,883,-516) (7/12,31/53) -> (59/25,26/11) Hyperbolic Matrix(4168,-2439,1767,-1034) (31/53,24/41) -> (33/14,59/25) Hyperbolic Matrix(106,-63,175,-104) (10/17,3/5) -> (3/5,11/18) Parabolic Matrix(1286,-787,451,-276) (11/18,30/49) -> (17/6,20/7) Hyperbolic Matrix(4199,-2576,1736,-1065) (19/31,27/44) -> (29/12,75/31) Hyperbolic Matrix(833,-512,1352,-831) (27/44,8/13) -> (8/13,37/60) Parabolic Matrix(4294,-2649,2425,-1496) (37/60,29/47) -> (23/13,62/35) Hyperbolic Matrix(2181,-1346,1178,-727) (29/47,21/34) -> (37/20,13/7) Hyperbolic Matrix(5641,-3488,4048,-2503) (34/55,47/76) -> (39/28,46/33) Hyperbolic Matrix(3633,-2248,2248,-1391) (47/76,13/21) -> (21/13,97/60) Hyperbolic Matrix(346,-215,103,-64) (13/21,5/8) -> (10/3,17/5) Hyperbolic Matrix(619,-390,446,-281) (5/8,12/19) -> (18/13,25/18) Hyperbolic Matrix(1539,-982,478,-305) (7/11,23/36) -> (45/14,29/9) Hyperbolic Matrix(1162,-743,1639,-1048) (23/36,16/25) -> (17/24,22/31) Hyperbolic Matrix(2423,-1554,1330,-853) (25/39,9/14) -> (51/28,31/17) Hyperbolic Matrix(476,-307,307,-198) (9/14,11/17) -> (17/11,14/9) Hyperbolic Matrix(102,-67,67,-44) (11/17,2/3) -> (3/2,17/11) Hyperbolic Matrix(133,-90,34,-23) (2/3,11/16) -> (23/6,4/1) Hyperbolic Matrix(896,-617,729,-502) (11/16,20/29) -> (27/22,16/13) Hyperbolic Matrix(429,-298,298,-207) (9/13,7/10) -> (23/16,13/9) Hyperbolic Matrix(394,-277,165,-116) (7/10,12/17) -> (19/8,12/5) Hyperbolic Matrix(2263,-1602,1770,-1253) (29/41,17/24) -> (23/18,55/43) Hyperbolic Matrix(1965,-1396,556,-395) (22/31,27/38) -> (7/2,46/13) Hyperbolic Matrix(3993,-2840,1832,-1303) (32/45,5/7) -> (85/39,24/11) Hyperbolic Matrix(619,-446,390,-281) (5/7,13/18) -> (19/12,27/17) Hyperbolic Matrix(1885,-1364,1364,-987) (13/18,21/29) -> (29/21,47/34) Hyperbolic Matrix(97,-72,128,-95) (11/15,3/4) -> (3/4,13/17) Parabolic Matrix(4473,-3424,1744,-1335) (13/17,36/47) -> (100/39,59/23) Hyperbolic Matrix(2664,-2041,697,-534) (36/47,23/30) -> (42/11,23/6) Hyperbolic Matrix(476,-365,253,-194) (23/30,10/13) -> (15/8,2/1) Hyperbolic Matrix(600,-463,127,-98) (10/13,17/22) -> (14/3,19/4) Hyperbolic Matrix(1327,-1026,410,-317) (17/22,24/31) -> (42/13,13/4) Hyperbolic Matrix(442,-343,567,-440) (24/31,7/9) -> (7/9,25/32) Parabolic Matrix(2263,-1770,1602,-1253) (25/32,18/23) -> (24/17,65/46) Hyperbolic Matrix(2984,-2337,2449,-1918) (18/23,47/60) -> (28/23,39/32) Hyperbolic Matrix(5809,-4552,4552,-3567) (47/60,29/37) -> (37/29,97/76) Hyperbolic Matrix(1193,-936,376,-295) (29/37,11/14) -> (19/6,35/11) Hyperbolic Matrix(2038,-1603,595,-468) (11/14,37/47) -> (65/19,24/7) Hyperbolic Matrix(4072,-3207,1191,-938) (37/47,26/33) -> (41/12,65/19) Hyperbolic Matrix(1566,-1235,563,-444) (26/33,15/19) -> (25/9,39/14) Hyperbolic Matrix(525,-428,92,-75) (13/16,9/11) -> (17/3,23/4) Hyperbolic Matrix(215,-178,122,-101) (9/11,5/6) -> (7/4,23/13) Hyperbolic Matrix(304,-255,31,-26) (5/6,21/25) -> (9/1,10/1) Hyperbolic Matrix(1978,-1663,1551,-1304) (21/25,16/19) -> (51/40,37/29) Hyperbolic Matrix(2188,-1845,1397,-1178) (16/19,27/32) -> (36/23,47/30) Hyperbolic Matrix(1154,-975,303,-256) (27/32,11/13) -> (19/5,42/11) Hyperbolic Matrix(575,-488,152,-129) (11/13,6/7) -> (34/9,19/5) Hyperbolic Matrix(210,-181,181,-156) (6/7,13/15) -> (15/13,7/6) Hyperbolic Matrix(240,-209,209,-182) (13/15,7/8) -> (8/7,15/13) Hyperbolic Matrix(357,-316,148,-131) (7/8,1/1) -> (41/17,29/12) Hyperbolic Matrix(291,-326,158,-177) (1/1,9/8) -> (11/6,35/19) Hyperbolic Matrix(283,-332,52,-61) (7/6,13/11) -> (27/5,11/2) Hyperbolic Matrix(898,-1063,615,-728) (13/11,32/27) -> (35/24,19/13) Hyperbolic Matrix(1152,-1367,359,-426) (32/27,19/16) -> (16/5,45/14) Hyperbolic Matrix(896,-1065,281,-334) (19/16,25/21) -> (35/11,16/5) Hyperbolic Matrix(631,-768,152,-185) (17/14,28/23) -> (4/1,25/6) Hyperbolic Matrix(2220,-2707,1363,-1662) (39/32,11/9) -> (57/35,44/27) Hyperbolic Matrix(526,-649,201,-248) (16/13,5/4) -> (34/13,21/8) Hyperbolic Matrix(173,-218,50,-63) (5/4,14/11) -> (24/7,7/2) Hyperbolic Matrix(19312,-24649,15129,-19310) (97/76,157/123) -> (157/123,60/47) Parabolic Matrix(3616,-4617,2041,-2606) (60/47,23/18) -> (62/35,39/22) Hyperbolic Matrix(2580,-3301,1621,-2074) (55/43,32/25) -> (35/22,43/27) Hyperbolic Matrix(442,-567,343,-440) (32/25,9/7) -> (9/7,31/24) Parabolic Matrix(2981,-3852,1612,-2083) (31/24,53/41) -> (61/33,37/20) Hyperbolic Matrix(97,-128,72,-95) (13/10,4/3) -> (4/3,19/14) Parabolic Matrix(974,-1323,427,-580) (19/14,34/25) -> (41/18,16/7) Hyperbolic Matrix(1660,-2259,1139,-1550) (34/25,49/36) -> (16/11,35/24) Hyperbolic Matrix(13376,-18209,5217,-7102) (49/36,113/83) -> (141/55,100/39) Hyperbolic Matrix(10030,-13657,3913,-5328) (113/83,64/47) -> (41/16,141/55) Hyperbolic Matrix(284,-389,165,-226) (15/11,11/8) -> (12/7,19/11) Hyperbolic Matrix(376,-519,71,-98) (11/8,29/21) -> (5/1,16/3) Hyperbolic Matrix(3056,-4225,2209,-3054) (47/34,65/47) -> (65/47,18/13) Parabolic Matrix(891,-1238,398,-553) (25/18,32/23) -> (38/17,9/4) Hyperbolic Matrix(258,-359,23,-32) (32/23,39/28) -> (10/1,1/0) Hyperbolic Matrix(2993,-4174,702,-979) (46/33,7/5) -> (81/19,64/15) Hyperbolic Matrix(1675,-2356,396,-557) (7/5,38/27) -> (38/9,55/13) Hyperbolic Matrix(4279,-6024,1768,-2489) (38/27,31/22) -> (121/50,46/19) Hyperbolic Matrix(1162,-1639,743,-1048) (31/22,24/17) -> (25/16,36/23) Hyperbolic Matrix(2436,-3443,1091,-1542) (65/46,41/29) -> (29/13,38/17) Hyperbolic Matrix(928,-1313,417,-590) (41/29,17/12) -> (20/9,29/13) Hyperbolic Matrix(760,-1089,529,-758) (10/7,33/23) -> (33/23,23/16) Parabolic Matrix(434,-629,69,-100) (13/9,29/20) -> (6/1,19/3) Hyperbolic Matrix(526,-763,91,-132) (29/20,16/11) -> (23/4,6/1) Hyperbolic Matrix(437,-682,66,-103) (14/9,25/16) -> (13/2,20/3) Hyperbolic Matrix(282,-445,109,-172) (11/7,19/12) -> (18/7,13/5) Hyperbolic Matrix(6401,-10174,3958,-6291) (27/17,62/39) -> (76/47,131/81) Hyperbolic Matrix(18512,-29929,11449,-18510) (97/60,173/107) -> (173/107,76/47) Parabolic Matrix(7831,-12666,3594,-5813) (131/81,55/34) -> (61/28,85/39) Hyperbolic Matrix(1840,-2977,513,-830) (55/34,34/21) -> (43/12,18/5) Hyperbolic Matrix(3591,-5816,1112,-1801) (34/21,81/50) -> (71/22,42/13) Hyperbolic Matrix(833,-1352,512,-831) (47/29,13/8) -> (13/8,57/35) Parabolic Matrix(1661,-2708,468,-763) (44/27,31/19) -> (39/11,32/9) Hyperbolic Matrix(511,-834,106,-173) (31/19,18/11) -> (24/5,5/1) Hyperbolic Matrix(106,-175,63,-104) (18/11,5/3) -> (5/3,17/10) Parabolic Matrix(393,-670,166,-283) (17/10,12/7) -> (26/11,19/8) Hyperbolic Matrix(164,-285,61,-106) (19/11,7/4) -> (8/3,19/7) Hyperbolic Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(1192,-2169,377,-686) (20/11,71/39) -> (41/13,19/6) Hyperbolic Matrix(3812,-6941,893,-1626) (71/39,51/28) -> (64/15,47/11) Hyperbolic Matrix(728,-1343,335,-618) (35/19,24/13) -> (13/6,37/17) Hyperbolic Matrix(3677,-6796,1140,-2107) (24/13,61/33) -> (29/9,100/31) Hyperbolic Matrix(304,-649,89,-190) (2/1,15/7) -> (17/5,41/12) Hyperbolic Matrix(1656,-3607,247,-538) (37/17,61/28) -> (20/3,47/7) Hyperbolic Matrix(366,-811,139,-308) (11/5,20/9) -> (21/8,29/11) Hyperbolic Matrix(664,-1521,289,-662) (16/7,39/17) -> (39/17,23/10) Parabolic Matrix(150,-353,17,-40) (7/3,33/14) -> (8/1,9/1) Hyperbolic Matrix(1544,-3721,361,-870) (53/22,41/17) -> (47/11,30/7) Hyperbolic Matrix(4585,-11094,1294,-3131) (75/31,121/50) -> (85/24,39/11) Hyperbolic Matrix(81,-200,32,-79) (17/7,5/2) -> (5/2,23/9) Parabolic Matrix(722,-1853,173,-444) (59/23,18/7) -> (25/6,21/5) Hyperbolic Matrix(2512,-6561,961,-2510) (47/18,81/31) -> (81/31,34/13) Parabolic Matrix(616,-1681,225,-614) (30/11,41/15) -> (41/15,11/4) Parabolic Matrix(193,-534,30,-83) (11/4,25/9) -> (19/3,13/2) Hyperbolic Matrix(220,-619,59,-166) (14/5,17/6) -> (26/7,15/4) Hyperbolic Matrix(43,-126,14,-41) (20/7,3/1) -> (3/1,22/7) Parabolic Matrix(2296,-7225,729,-2294) (22/7,85/27) -> (85/27,63/20) Parabolic Matrix(9064,-29241,2809,-9062) (100/31,171/53) -> (171/53,71/22) Parabolic Matrix(497,-1630,118,-387) (36/11,23/7) -> (21/5,38/9) Hyperbolic Matrix(560,-1849,169,-558) (33/10,43/13) -> (43/13,10/3) Parabolic Matrix(4848,-17161,1369,-4846) (46/13,131/37) -> (131/37,85/24) Parabolic Matrix(133,-484,36,-131) (18/5,11/3) -> (11/3,26/7) Parabolic Matrix(545,-2312,128,-543) (55/13,17/4) -> (17/4,81/19) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(0,-1,1,2) -> Matrix(1,0,1,1) Matrix(412,-35,259,-22) -> Matrix(5,-6,1,-1) Matrix(304,-31,255,-26) -> Matrix(1,-2,1,-1) Matrix(352,-41,601,-70) -> Matrix(1,-2,1,-1) Matrix(644,-85,197,-26) -> Matrix(5,-2,3,-1) Matrix(542,-73,297,-40) -> Matrix(1,0,1,1) Matrix(437,-66,682,-103) -> Matrix(7,-4,2,-1) Matrix(193,-30,534,-83) -> Matrix(3,-2,-4,3) Matrix(525,-92,428,-75) -> Matrix(3,-4,4,-5) Matrix(428,-77,189,-34) -> Matrix(7,-10,5,-7) Matrix(709,-132,188,-35) -> Matrix(3,-4,-2,3) Matrix(376,-71,519,-98) -> Matrix(1,-2,1,-1) Matrix(511,-106,834,-173) -> Matrix(1,0,0,1) Matrix(600,-127,463,-98) -> Matrix(1,-2,-1,3) Matrix(644,-139,139,-30) -> Matrix(1,-8,1,-7) Matrix(414,-91,91,-20) -> Matrix(1,2,1,3) Matrix(365,-82,138,-31) -> Matrix(1,0,0,1) Matrix(499,-116,228,-53) -> Matrix(1,2,0,1) Matrix(497,-118,1630,-387) -> Matrix(5,2,2,1) Matrix(1039,-250,586,-141) -> Matrix(1,0,0,1) Matrix(133,-34,90,-23) -> Matrix(1,0,0,1) Matrix(709,-188,132,-35) -> Matrix(7,-4,2,-1) Matrix(133,-36,484,-131) -> Matrix(11,-10,10,-9) Matrix(264,-73,745,-206) -> Matrix(5,-6,1,-1) Matrix(1840,-513,2977,-830) -> Matrix(1,-2,1,-1) Matrix(2014,-563,787,-220) -> Matrix(3,-4,1,-1) Matrix(1269,-356,524,-147) -> Matrix(1,-2,2,-3) Matrix(173,-50,218,-63) -> Matrix(1,-2,2,-3) Matrix(346,-103,215,-64) -> Matrix(1,-2,3,-5) Matrix(989,-300,300,-91) -> Matrix(11,-24,6,-13) Matrix(2745,-838,3862,-1179) -> Matrix(1,-2,-4,9) Matrix(644,-197,85,-26) -> Matrix(1,-2,-1,3) Matrix(1327,-410,1026,-317) -> Matrix(1,-4,0,1) Matrix(1539,-478,982,-305) -> Matrix(3,-8,2,-5) Matrix(1193,-376,936,-295) -> Matrix(1,-4,0,1) Matrix(43,-14,126,-41) -> Matrix(1,-2,0,1) Matrix(2242,-781,333,-116) -> Matrix(1,0,-1,1) Matrix(3529,-1232,1120,-391) -> Matrix(3,-2,2,-1) Matrix(788,-277,165,-58) -> Matrix(1,-2,1,-1) Matrix(535,-192,248,-89) -> Matrix(3,4,2,3) Matrix(824,-297,1193,-430) -> Matrix(1,2,-1,-1) Matrix(779,-286,286,-105) -> Matrix(1,0,-4,1) Matrix(164,-61,285,-106) -> Matrix(1,0,-1,1) Matrix(365,-138,82,-31) -> Matrix(1,0,0,1) Matrix(526,-201,649,-248) -> Matrix(1,-2,1,-1) Matrix(1053,-404,404,-155) -> Matrix(1,0,0,1) Matrix(282,-109,445,-172) -> Matrix(1,-2,1,-1) Matrix(81,-32,200,-79) -> Matrix(3,-2,2,-1) Matrix(2186,-895,1231,-504) -> Matrix(1,-2,1,-1) Matrix(4489,-1840,3296,-1351) -> Matrix(1,-2,2,-3) Matrix(1706,-701,477,-196) -> Matrix(5,-6,1,-1) Matrix(1269,-524,356,-147) -> Matrix(1,2,0,1) Matrix(357,-148,316,-131) -> Matrix(1,-2,2,-3) Matrix(394,-165,277,-116) -> Matrix(1,0,1,1) Matrix(393,-166,670,-283) -> Matrix(1,-2,2,-3) Matrix(273,-118,118,-51) -> Matrix(1,0,0,1) Matrix(583,-256,312,-137) -> Matrix(1,-2,0,1) Matrix(428,-189,77,-34) -> Matrix(3,-10,1,-3) Matrix(619,-276,388,-173) -> Matrix(1,-4,0,1) Matrix(928,-417,1313,-590) -> Matrix(1,4,-1,-3) Matrix(502,-227,115,-52) -> Matrix(1,0,1,1) Matrix(499,-228,116,-53) -> Matrix(1,-2,2,-3) Matrix(535,-248,192,-89) -> Matrix(1,-4,2,-7) Matrix(583,-312,256,-137) -> Matrix(3,-2,2,-1) Matrix(2181,-1178,1346,-727) -> Matrix(3,2,4,3) Matrix(871,-474,362,-197) -> Matrix(1,2,0,1) Matrix(181,-100,324,-179) -> Matrix(1,0,2,1) Matrix(790,-443,107,-60) -> Matrix(1,0,-1,1) Matrix(1219,-684,180,-101) -> Matrix(1,0,-2,1) Matrix(215,-122,178,-101) -> Matrix(1,0,0,1) Matrix(284,-165,389,-226) -> Matrix(1,0,-3,1) Matrix(2086,-1219,883,-516) -> Matrix(1,0,-1,1) Matrix(4168,-2439,1767,-1034) -> Matrix(5,-6,1,-1) Matrix(106,-63,175,-104) -> Matrix(1,-2,1,-1) Matrix(1286,-787,451,-276) -> Matrix(1,-2,1,-1) Matrix(4199,-2576,1736,-1065) -> Matrix(1,-2,0,1) Matrix(833,-512,1352,-831) -> Matrix(1,-8,0,1) Matrix(4294,-2649,2425,-1496) -> Matrix(1,4,-1,-3) Matrix(2181,-1346,1178,-727) -> Matrix(1,2,2,5) Matrix(5641,-3488,4048,-2503) -> Matrix(1,4,2,9) Matrix(3633,-2248,2248,-1391) -> Matrix(1,0,2,1) Matrix(346,-215,103,-64) -> Matrix(3,2,1,1) Matrix(619,-390,446,-281) -> Matrix(1,-2,4,-7) Matrix(1539,-982,478,-305) -> Matrix(3,-8,2,-5) Matrix(1162,-743,1639,-1048) -> Matrix(1,-4,-1,5) Matrix(2423,-1554,1330,-853) -> Matrix(1,-4,2,-7) Matrix(476,-307,307,-198) -> Matrix(1,-10,1,-9) Matrix(102,-67,67,-44) -> Matrix(1,2,1,3) Matrix(133,-90,34,-23) -> Matrix(1,0,0,1) Matrix(896,-617,729,-502) -> Matrix(1,0,1,1) Matrix(429,-298,298,-207) -> Matrix(1,0,2,1) Matrix(394,-277,165,-116) -> Matrix(1,0,1,1) Matrix(2263,-1602,1770,-1253) -> Matrix(7,6,-6,-5) Matrix(1965,-1396,556,-395) -> Matrix(5,2,2,1) Matrix(3993,-2840,1832,-1303) -> Matrix(3,-2,2,-1) Matrix(619,-446,390,-281) -> Matrix(5,2,2,1) Matrix(1885,-1364,1364,-987) -> Matrix(1,0,0,1) Matrix(97,-72,128,-95) -> Matrix(1,0,4,1) Matrix(4473,-3424,1744,-1335) -> Matrix(1,0,-4,1) Matrix(2664,-2041,697,-534) -> Matrix(1,0,-3,1) Matrix(476,-365,253,-194) -> Matrix(1,0,-1,1) Matrix(600,-463,127,-98) -> Matrix(5,-2,3,-1) Matrix(1327,-1026,410,-317) -> Matrix(5,-4,4,-3) Matrix(442,-343,567,-440) -> Matrix(1,0,1,1) Matrix(2263,-1770,1602,-1253) -> Matrix(11,-6,24,-13) Matrix(2984,-2337,2449,-1918) -> Matrix(3,-2,11,-7) Matrix(5809,-4552,4552,-3567) -> Matrix(11,-8,-4,3) Matrix(1193,-936,376,-295) -> Matrix(5,-4,4,-3) Matrix(2038,-1603,595,-468) -> Matrix(5,-4,-1,1) Matrix(4072,-3207,1191,-938) -> Matrix(13,-14,1,-1) Matrix(1566,-1235,563,-444) -> Matrix(1,-2,3,-5) Matrix(525,-428,92,-75) -> Matrix(1,4,0,1) Matrix(215,-178,122,-101) -> Matrix(1,0,0,1) Matrix(304,-255,31,-26) -> Matrix(1,-2,1,-1) Matrix(1978,-1663,1551,-1304) -> Matrix(3,-2,-1,1) Matrix(2188,-1845,1397,-1178) -> Matrix(1,-4,1,-3) Matrix(1154,-975,303,-256) -> Matrix(1,0,-1,1) Matrix(575,-488,152,-129) -> Matrix(1,-2,0,1) Matrix(210,-181,181,-156) -> Matrix(1,-2,1,-1) Matrix(240,-209,209,-182) -> Matrix(1,2,1,3) Matrix(357,-316,148,-131) -> Matrix(1,2,0,1) Matrix(291,-326,158,-177) -> Matrix(1,0,0,1) Matrix(283,-332,52,-61) -> Matrix(1,2,0,1) Matrix(898,-1063,615,-728) -> Matrix(1,0,1,1) Matrix(1152,-1367,359,-426) -> Matrix(1,-4,1,-3) Matrix(896,-1065,281,-334) -> Matrix(1,-2,1,-1) Matrix(631,-768,152,-185) -> Matrix(1,0,0,1) Matrix(2220,-2707,1363,-1662) -> Matrix(9,-4,7,-3) Matrix(526,-649,201,-248) -> Matrix(1,-2,1,-1) Matrix(173,-218,50,-63) -> Matrix(1,2,0,1) Matrix(19312,-24649,15129,-19310) -> Matrix(21,44,-11,-23) Matrix(3616,-4617,2041,-2606) -> Matrix(1,2,-3,-5) Matrix(2580,-3301,1621,-2074) -> Matrix(9,8,1,1) Matrix(442,-567,343,-440) -> Matrix(1,0,1,1) Matrix(2981,-3852,1612,-2083) -> Matrix(1,2,2,5) Matrix(97,-128,72,-95) -> Matrix(1,0,4,1) Matrix(974,-1323,427,-580) -> Matrix(9,-2,5,-1) Matrix(1660,-2259,1139,-1550) -> Matrix(1,0,-1,1) Matrix(13376,-18209,5217,-7102) -> Matrix(1,0,-3,1) Matrix(10030,-13657,3913,-5328) -> Matrix(3,-2,-1,1) Matrix(284,-389,165,-226) -> Matrix(1,0,-3,1) Matrix(376,-519,71,-98) -> Matrix(1,-2,1,-1) Matrix(3056,-4225,2209,-3054) -> Matrix(1,0,9,1) Matrix(891,-1238,398,-553) -> Matrix(19,-6,16,-5) Matrix(258,-359,23,-32) -> Matrix(11,-4,3,-1) Matrix(2993,-4174,702,-979) -> Matrix(5,-2,18,-7) Matrix(1675,-2356,396,-557) -> Matrix(1,0,-2,1) Matrix(4279,-6024,1768,-2489) -> Matrix(1,0,-2,1) Matrix(1162,-1639,743,-1048) -> Matrix(9,-4,7,-3) Matrix(2436,-3443,1091,-1542) -> Matrix(37,-18,35,-17) Matrix(928,-1313,417,-590) -> Matrix(7,-4,9,-5) Matrix(760,-1089,529,-758) -> Matrix(3,-2,5,-3) Matrix(434,-629,69,-100) -> Matrix(5,-4,-1,1) Matrix(526,-763,91,-132) -> Matrix(3,-4,1,-1) Matrix(437,-682,66,-103) -> Matrix(3,-4,-2,3) Matrix(282,-445,109,-172) -> Matrix(1,-2,1,-1) Matrix(6401,-10174,3958,-6291) -> Matrix(3,-10,4,-13) Matrix(18512,-29929,11449,-18510) -> Matrix(31,-20,45,-29) Matrix(7831,-12666,3594,-5813) -> Matrix(17,-12,10,-7) Matrix(1840,-2977,513,-830) -> Matrix(1,-2,1,-1) Matrix(3591,-5816,1112,-1801) -> Matrix(5,-4,4,-3) Matrix(833,-1352,512,-831) -> Matrix(9,-8,8,-7) Matrix(1661,-2708,468,-763) -> Matrix(5,-8,2,-3) Matrix(511,-834,106,-173) -> Matrix(1,0,0,1) Matrix(106,-175,63,-104) -> Matrix(1,-2,1,-1) Matrix(393,-670,166,-283) -> Matrix(1,2,0,1) Matrix(164,-285,61,-106) -> Matrix(1,0,-1,1) Matrix(181,-324,100,-179) -> Matrix(1,0,2,1) Matrix(1192,-2169,377,-686) -> Matrix(5,-2,3,-1) Matrix(3812,-6941,893,-1626) -> Matrix(1,0,1,1) Matrix(728,-1343,335,-618) -> Matrix(5,-2,3,-1) Matrix(3677,-6796,1140,-2107) -> Matrix(7,-2,4,-1) Matrix(304,-649,89,-190) -> Matrix(7,-8,1,-1) Matrix(1656,-3607,247,-538) -> Matrix(1,-2,1,-1) Matrix(366,-811,139,-308) -> Matrix(1,0,-1,1) Matrix(664,-1521,289,-662) -> Matrix(11,-20,5,-9) Matrix(150,-353,17,-40) -> Matrix(1,-4,1,-3) Matrix(1544,-3721,361,-870) -> Matrix(1,-2,3,-5) Matrix(4585,-11094,1294,-3131) -> Matrix(1,2,0,1) Matrix(81,-200,32,-79) -> Matrix(1,-2,0,1) Matrix(722,-1853,173,-444) -> Matrix(1,0,1,1) Matrix(2512,-6561,961,-2510) -> Matrix(1,-2,1,-1) Matrix(616,-1681,225,-614) -> Matrix(1,0,11,1) Matrix(193,-534,30,-83) -> Matrix(5,-2,-2,1) Matrix(220,-619,59,-166) -> Matrix(5,-4,-1,1) Matrix(43,-126,14,-41) -> Matrix(3,-2,2,-1) Matrix(2296,-7225,729,-2294) -> Matrix(7,-10,5,-7) Matrix(9064,-29241,2809,-9062) -> Matrix(7,-12,3,-5) Matrix(497,-1630,118,-387) -> Matrix(1,-2,4,-7) Matrix(560,-1849,169,-558) -> Matrix(27,-52,13,-25) Matrix(4848,-17161,1369,-4846) -> Matrix(3,-10,1,-3) Matrix(133,-484,36,-131) -> Matrix(1,-10,0,1) Matrix(545,-2312,128,-543) -> Matrix(1,0,4,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 3 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 2 Genus: 0 Degree of H/liftables -> H/(image of liftables): 96 ----------------------------------------------------------------------- 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 -1/1 0/1 1 1 1/1 0/1 1 14 8/7 1/1 1 28 15/13 1/1 2 1 7/6 1/0 1 28 13/11 (0/1,2/1).(1/1,1/0) 0 7 32/27 1/1 1 28 19/16 1/0 1 4 25/21 0/1 1 14 6/5 1/1 1 28 11/9 1/1 1 7 16/13 1/1 1 28 5/4 1/0 1 28 14/11 -3/1 1 28 37/29 -2/1 1 14 157/123 -2/1 11 1 60/47 -9/5 1 28 23/18 -3/2 1 28 32/25 -1/1 1 28 9/7 0/1 1 7 31/24 1/0 1 28 22/17 -1/1 1 28 13/10 -1/2 1 28 4/3 0/1 2 4 19/14 1/2 1 28 34/25 1/3 1 28 49/36 1/2 1 28 15/11 0/1 1 14 11/8 1/2 1 28 29/21 0/1 1 14 65/47 0/1 9 1 18/13 1/5 1 28 7/5 1/2 1 7 38/27 1/3 1 28 31/22 1/2 1 28 24/17 3/7 1 28 65/46 1/2 1 28 41/29 1/2 11 2 17/12 1/2 1 28 10/7 1/1 1 28 33/23 (0/1,2/3).(1/2,1/1) 0 1 13/9 2/3 1 14 29/20 1/1 4 4 16/11 1/1 1 28 3/2 1/2 1 28 17/11 1/1 6 1 14/9 1/1 1 28 25/16 1/0 1 28 36/23 1/1 1 28 11/7 2/1 1 14 19/12 3/2 1 28 27/17 3/1 1 7 62/39 5/1 1 28 35/22 1/0 1 28 8/5 -1/1 1 28 21/13 2/3 1 14 173/107 2/3 5 1 76/47 5/7 1 28 131/81 1/1 1 7 55/34 3/4 1 28 34/21 1/1 1 28 47/29 3/4 1 7 13/8 1/1 4 4 57/35 5/4 1 7 44/27 1/1 1 28 31/19 2/1 1 14 18/11 1/1 1 28 5/3 (0/1,2/1).(1/1,1/0) 0 7 17/10 1/0 1 28 12/7 -1/1 1 28 19/11 0/1 1 14 7/4 1/0 1 28 23/13 1/0 1 7 62/35 -1/1 1 28 39/22 1/2 1 28 16/9 1/1 1 28 9/5 0/1 1 2 20/11 1/3 1 28 31/17 0/1 1 7 11/6 1/2 1 28 24/13 1/1 1 28 37/20 1/2 1 28 13/7 1/1 1 7 2/1 1/1 1 28 13/6 3/2 1 28 11/5 (0/1,2/1).(1/1,1/0) 0 7 20/9 1/1 1 28 29/13 1/1 11 2 38/17 1/1 1 28 9/4 3/2 1 28 25/11 3/2 1 7 41/18 3/2 1 28 16/7 5/3 1 28 39/17 2/1 5 1 7/3 2/1 1 14 33/14 1/0 1 28 59/25 1/0 3 1 26/11 1/1 1 28 19/8 1/0 1 28 12/5 1/1 1 28 53/22 1/0 1 28 41/17 2/1 1 14 29/12 1/0 1 28 17/7 2/1 1 7 5/2 1/0 1 4 23/9 0/1 1 7 41/16 1/0 1 28 141/55 -1/1 1 1 100/39 -1/1 1 28 59/23 0/1 1 14 18/7 -1/1 1 28 13/5 0/1 1 14 81/31 (0/1,2/1).(1/1,1/0) 0 1 34/13 1/1 1 28 21/8 1/0 1 28 8/3 -1/1 1 28 19/7 0/1 1 14 41/15 0/1 11 1 11/4 1/4 1 28 25/9 0/1 1 14 39/14 1/2 1 28 14/5 1/1 1 28 17/6 1/0 1 28 20/7 1/1 1 28 3/1 1/1 1 7 22/7 1/1 1 28 85/27 (1/1,3/2).(4/3,2/1) 0 1 41/13 2/1 1 14 19/6 1/0 1 28 35/11 2/1 1 14 16/5 1/1 1 4 45/14 3/2 1 28 29/9 2/1 1 14 171/53 2/1 3 1 71/22 1/0 1 28 42/13 1/1 1 28 13/4 3/2 1 28 36/11 5/3 1 28 23/7 2/1 1 14 43/13 2/1 13 1 10/3 7/3 1 28 17/5 4/1 1 14 41/12 1/0 1 28 65/19 1/0 9 1 24/7 -1/1 1 28 7/2 1/0 1 28 46/13 3/1 1 28 131/37 (2/1,4/1).(3/1,1/0) 0 1 39/11 2/1 1 14 32/9 3/1 1 28 25/7 4/1 1 7 43/12 1/0 1 28 18/5 5/1 1 28 11/3 1/0 5 2 26/7 -5/1 1 28 15/4 1/0 1 28 19/5 (-2/1,0/1).(-1/1,1/0) 0 7 42/11 -1/1 1 28 23/6 1/0 1 28 4/1 -1/1 1 28 25/6 1/0 1 28 21/5 0/1 1 14 38/9 1/1 1 28 55/13 1/0 1 7 17/4 0/1 2 4 81/19 1/4 1 7 64/15 1/3 1 28 47/11 0/1 1 14 30/7 1/3 1 28 13/3 (0/1,2/3).(1/2,1/1) 0 7 22/5 1/1 1 28 9/2 1/2 1 28 23/5 1/1 5 1 14/3 1/1 1 28 19/4 1/0 1 28 24/5 1/1 1 28 5/1 2/1 1 14 16/3 3/1 1 28 27/5 (2/1,4/1).(3/1,1/0) 0 7 11/2 1/0 1 28 17/3 1/0 1 7 23/4 1/0 1 28 6/1 1/0 4 4 19/3 -2/1 1 14 13/2 -3/2 1 28 20/3 -1/1 1 28 47/7 0/1 1 14 27/4 -1/2 1 28 7/1 0/1 1 7 15/2 1/0 1 28 8/1 1/1 1 28 9/1 2/1 1 14 10/1 1/1 1 28 1/0 1/0 1 28 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(0,1,1,0) (-1/1,1/1) -> (-1/1,1/1) Reflection Matrix(316,-357,131,-148) (1/1,8/7) -> (41/17,29/12) Glide Reflection Matrix(209,-240,182,-209) (8/7,15/13) -> (8/7,15/13) Reflection Matrix(181,-210,156,-181) (15/13,7/6) -> (15/13,7/6) Reflection Matrix(283,-332,52,-61) (7/6,13/11) -> (27/5,11/2) Hyperbolic Matrix(975,-1154,256,-303) (13/11,32/27) -> (19/5,42/11) Glide Reflection Matrix(1152,-1367,359,-426) (32/27,19/16) -> (16/5,45/14) Hyperbolic Matrix(896,-1065,281,-334) (19/16,25/21) -> (35/11,16/5) Hyperbolic Matrix(255,-304,26,-31) (25/21,6/5) -> (9/1,10/1) Glide Reflection Matrix(178,-215,101,-122) (6/5,11/9) -> (7/4,23/13) Glide Reflection Matrix(428,-525,75,-92) (11/9,16/13) -> (17/3,23/4) Glide Reflection Matrix(526,-649,201,-248) (16/13,5/4) -> (34/13,21/8) Hyperbolic Matrix(173,-218,50,-63) (5/4,14/11) -> (24/7,7/2) Hyperbolic Matrix(936,-1193,295,-376) (14/11,37/29) -> (19/6,35/11) Glide Reflection Matrix(4552,-5809,3567,-4552) (37/29,157/123) -> (37/29,157/123) Reflection Matrix(14759,-18840,11562,-14759) (157/123,60/47) -> (157/123,60/47) Reflection Matrix(3616,-4617,2041,-2606) (60/47,23/18) -> (62/35,39/22) Hyperbolic Matrix(1770,-2263,1253,-1602) (23/18,32/25) -> (24/17,65/46) Glide Reflection Matrix(442,-567,343,-440) (32/25,9/7) -> (9/7,31/24) Parabolic Matrix(1026,-1327,317,-410) (31/24,22/17) -> (42/13,13/4) Glide Reflection Matrix(463,-600,98,-127) (22/17,13/10) -> (14/3,19/4) Glide Reflection Matrix(97,-128,72,-95) (13/10,4/3) -> (4/3,19/14) Parabolic Matrix(974,-1323,427,-580) (19/14,34/25) -> (41/18,16/7) Hyperbolic Matrix(2087,-2840,546,-743) (34/25,49/36) -> (42/11,23/6) Glide Reflection Matrix(3224,-4391,1257,-1712) (49/36,15/11) -> (100/39,59/23) Glide Reflection Matrix(284,-389,165,-226) (15/11,11/8) -> (12/7,19/11) Hyperbolic Matrix(376,-519,71,-98) (11/8,29/21) -> (5/1,16/3) Hyperbolic Matrix(1364,-1885,987,-1364) (29/21,65/47) -> (29/21,65/47) Reflection Matrix(1691,-2340,1222,-1691) (65/47,18/13) -> (65/47,18/13) Reflection Matrix(446,-619,281,-390) (18/13,7/5) -> (19/12,27/17) Glide Reflection Matrix(1675,-2356,396,-557) (7/5,38/27) -> (38/9,55/13) Hyperbolic Matrix(1396,-1965,395,-556) (38/27,31/22) -> (7/2,46/13) Glide Reflection Matrix(1162,-1639,743,-1048) (31/22,24/17) -> (25/16,36/23) Hyperbolic Matrix(2436,-3443,1091,-1542) (65/46,41/29) -> (29/13,38/17) Hyperbolic Matrix(928,-1313,417,-590) (41/29,17/12) -> (20/9,29/13) Hyperbolic Matrix(277,-394,116,-165) (17/12,10/7) -> (19/8,12/5) Glide Reflection Matrix(461,-660,322,-461) (10/7,33/23) -> (10/7,33/23) Reflection Matrix(298,-429,207,-298) (33/23,13/9) -> (33/23,13/9) Reflection Matrix(434,-629,69,-100) (13/9,29/20) -> (6/1,19/3) Hyperbolic Matrix(526,-763,91,-132) (29/20,16/11) -> (23/4,6/1) Hyperbolic Matrix(90,-133,23,-34) (16/11,3/2) -> (23/6,4/1) Glide Reflection Matrix(67,-102,44,-67) (3/2,17/11) -> (3/2,17/11) Reflection Matrix(307,-476,198,-307) (17/11,14/9) -> (17/11,14/9) Reflection Matrix(437,-682,66,-103) (14/9,25/16) -> (13/2,20/3) Hyperbolic Matrix(982,-1539,305,-478) (36/23,11/7) -> (45/14,29/9) Glide Reflection Matrix(282,-445,109,-172) (11/7,19/12) -> (18/7,13/5) Hyperbolic Matrix(6401,-10174,3958,-6291) (27/17,62/39) -> (76/47,131/81) Hyperbolic Matrix(259,-412,22,-35) (62/39,35/22) -> (10/1,1/0) Glide Reflection Matrix(388,-619,173,-276) (35/22,8/5) -> (38/17,9/4) Glide Reflection Matrix(215,-346,64,-103) (8/5,21/13) -> (10/3,17/5) Glide Reflection Matrix(2248,-3633,1391,-2248) (21/13,173/107) -> (21/13,173/107) Reflection Matrix(16263,-26296,10058,-16263) (173/107,76/47) -> (173/107,76/47) Reflection Matrix(7938,-12839,1861,-3010) (131/81,55/34) -> (81/19,64/15) Glide Reflection Matrix(1840,-2977,513,-830) (55/34,34/21) -> (43/12,18/5) Hyperbolic Matrix(1346,-2181,727,-1178) (34/21,47/29) -> (37/20,13/7) Glide Reflection Matrix(833,-1352,512,-831) (47/29,13/8) -> (13/8,57/35) Parabolic Matrix(2791,-4546,1576,-2567) (57/35,44/27) -> (23/13,62/35) Glide Reflection Matrix(1661,-2708,468,-763) (44/27,31/19) -> (39/11,32/9) Hyperbolic Matrix(511,-834,106,-173) (31/19,18/11) -> (24/5,5/1) Hyperbolic Matrix(106,-175,63,-104) (18/11,5/3) -> (5/3,17/10) Parabolic Matrix(393,-670,166,-283) (17/10,12/7) -> (26/11,19/8) Hyperbolic Matrix(164,-285,61,-106) (19/11,7/4) -> (8/3,19/7) Hyperbolic Matrix(586,-1039,141,-250) (39/22,16/9) -> (4/1,25/6) Glide Reflection Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(536,-977,79,-144) (20/11,31/17) -> (27/4,7/1) Glide Reflection Matrix(297,-542,40,-73) (31/17,11/6) -> (7/1,15/2) Glide Reflection Matrix(474,-871,197,-362) (11/6,24/13) -> (12/5,53/22) Glide Reflection Matrix(1966,-3635,609,-1126) (24/13,37/20) -> (71/22,42/13) Glide Reflection Matrix(312,-583,137,-256) (13/7,2/1) -> (25/11,41/18) Glide Reflection Matrix(248,-535,89,-192) (2/1,13/6) -> (39/14,14/5) Glide Reflection Matrix(228,-499,53,-116) (13/6,11/5) -> (30/7,13/3) Glide Reflection Matrix(227,-502,52,-115) (11/5,20/9) -> (13/3,22/5) Glide Reflection Matrix(189,-428,34,-77) (9/4,25/11) -> (11/2,17/3) Glide Reflection Matrix(545,-1248,238,-545) (16/7,39/17) -> (16/7,39/17) Reflection Matrix(118,-273,51,-118) (39/17,7/3) -> (39/17,7/3) Reflection Matrix(150,-353,17,-40) (7/3,33/14) -> (8/1,9/1) Hyperbolic Matrix(1651,-3894,700,-1651) (33/14,59/25) -> (33/14,59/25) Reflection Matrix(1299,-3068,550,-1299) (59/25,26/11) -> (59/25,26/11) Reflection Matrix(1544,-3721,361,-870) (53/22,41/17) -> (47/11,30/7) Hyperbolic Matrix(524,-1269,147,-356) (29/12,17/7) -> (32/9,25/7) Glide Reflection Matrix(81,-200,32,-79) (17/7,5/2) -> (5/2,23/9) Parabolic Matrix(787,-2014,220,-563) (23/9,41/16) -> (25/7,43/12) Glide Reflection Matrix(4511,-11562,1760,-4511) (41/16,141/55) -> (41/16,141/55) Reflection Matrix(10999,-28200,4290,-10999) (141/55,100/39) -> (141/55,100/39) Reflection Matrix(722,-1853,173,-444) (59/23,18/7) -> (25/6,21/5) Hyperbolic Matrix(404,-1053,155,-404) (13/5,81/31) -> (13/5,81/31) Reflection Matrix(2107,-5508,806,-2107) (81/31,34/13) -> (81/31,34/13) Reflection Matrix(138,-365,31,-82) (21/8,8/3) -> (22/5,9/2) Glide Reflection Matrix(286,-779,105,-286) (19/7,41/15) -> (19/7,41/15) Reflection Matrix(329,-902,120,-329) (41/15,11/4) -> (41/15,11/4) Reflection Matrix(193,-534,30,-83) (11/4,25/9) -> (19/3,13/2) Hyperbolic Matrix(607,-1688,178,-495) (25/9,39/14) -> (17/5,41/12) Glide Reflection Matrix(220,-619,59,-166) (14/5,17/6) -> (26/7,15/4) Hyperbolic Matrix(277,-788,58,-165) (17/6,20/7) -> (19/4,24/5) Glide Reflection Matrix(43,-126,14,-41) (20/7,3/1) -> (3/1,22/7) Parabolic Matrix(1189,-3740,378,-1189) (22/7,85/27) -> (22/7,85/27) Reflection Matrix(1106,-3485,351,-1106) (85/27,41/13) -> (85/27,41/13) Reflection Matrix(633,-2000,94,-297) (41/13,19/6) -> (47/7,27/4) Glide Reflection Matrix(1538,-4959,477,-1538) (29/9,171/53) -> (29/9,171/53) Reflection Matrix(7525,-24282,2332,-7525) (171/53,71/22) -> (171/53,71/22) Reflection Matrix(197,-644,26,-85) (13/4,36/11) -> (15/2,8/1) Glide Reflection Matrix(497,-1630,118,-387) (36/11,23/7) -> (21/5,38/9) Hyperbolic Matrix(300,-989,91,-300) (23/7,43/13) -> (23/7,43/13) Reflection Matrix(259,-860,78,-259) (43/13,10/3) -> (43/13,10/3) Reflection Matrix(1559,-5330,456,-1559) (41/12,65/19) -> (41/12,65/19) Reflection Matrix(911,-3120,266,-911) (65/19,24/7) -> (65/19,24/7) Reflection Matrix(3405,-12052,962,-3405) (46/13,131/37) -> (46/13,131/37) Reflection Matrix(1442,-5109,407,-1442) (131/37,39/11) -> (131/37,39/11) Reflection Matrix(133,-484,36,-131) (18/5,11/3) -> (11/3,26/7) Parabolic Matrix(188,-709,35,-132) (15/4,19/5) -> (16/3,27/5) Glide Reflection Matrix(545,-2312,128,-543) (55/13,17/4) -> (17/4,81/19) Parabolic Matrix(925,-3948,138,-589) (64/15,47/11) -> (20/3,47/7) Glide Reflection Matrix(91,-414,20,-91) (9/2,23/5) -> (9/2,23/5) Reflection Matrix(139,-644,30,-139) (23/5,14/3) -> (23/5,14/3) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,0,-1) (-1/1,1/0) -> (0/1,1/0) Matrix(0,1,1,0) -> Matrix(1,0,1,-1) (-1/1,1/1) -> (0/1,2/1) Matrix(316,-357,131,-148) -> Matrix(3,-2,1,-1) Matrix(209,-240,182,-209) -> Matrix(3,-2,4,-3) (8/7,15/13) -> (1/2,1/1) Matrix(181,-210,156,-181) -> Matrix(-1,2,0,1) (15/13,7/6) -> (1/1,1/0) Matrix(283,-332,52,-61) -> Matrix(1,2,0,1) 1/0 Matrix(975,-1154,256,-303) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1152,-1367,359,-426) -> Matrix(1,-4,1,-3) 2/1 Matrix(896,-1065,281,-334) -> Matrix(1,-2,1,-1) (0/1,2/1).(1/1,1/0) Matrix(255,-304,26,-31) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(178,-215,101,-122) -> Matrix(1,0,1,-1) *** -> (0/1,2/1) Matrix(428,-525,75,-92) -> Matrix(5,-4,1,-1) Matrix(526,-649,201,-248) -> Matrix(1,-2,1,-1) (0/1,2/1).(1/1,1/0) Matrix(173,-218,50,-63) -> Matrix(1,2,0,1) 1/0 Matrix(936,-1193,295,-376) -> Matrix(1,4,1,3) Matrix(4552,-5809,3567,-4552) -> Matrix(3,8,-1,-3) (37/29,157/123) -> (-4/1,-2/1) Matrix(14759,-18840,11562,-14759) -> Matrix(19,36,-10,-19) (157/123,60/47) -> (-2/1,-9/5) Matrix(3616,-4617,2041,-2606) -> Matrix(1,2,-3,-5) Matrix(1770,-2263,1253,-1602) -> Matrix(5,6,11,13) Matrix(442,-567,343,-440) -> Matrix(1,0,1,1) 0/1 Matrix(1026,-1327,317,-410) -> Matrix(1,4,1,3) Matrix(463,-600,98,-127) -> Matrix(3,2,2,1) Matrix(97,-128,72,-95) -> Matrix(1,0,4,1) 0/1 Matrix(974,-1323,427,-580) -> Matrix(9,-2,5,-1) Matrix(2087,-2840,546,-743) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(3224,-4391,1257,-1712) -> Matrix(1,0,1,-1) *** -> (0/1,2/1) Matrix(284,-389,165,-226) -> Matrix(1,0,-3,1) 0/1 Matrix(376,-519,71,-98) -> Matrix(1,-2,1,-1) (0/1,2/1).(1/1,1/0) Matrix(1364,-1885,987,-1364) -> Matrix(1,0,1,-1) (29/21,65/47) -> (0/1,2/1) Matrix(1691,-2340,1222,-1691) -> Matrix(1,0,10,-1) (65/47,18/13) -> (0/1,1/5) Matrix(446,-619,281,-390) -> Matrix(7,-2,3,-1) Matrix(1675,-2356,396,-557) -> Matrix(1,0,-2,1) 0/1 Matrix(1396,-1965,395,-556) -> Matrix(7,-2,3,-1) Matrix(1162,-1639,743,-1048) -> Matrix(9,-4,7,-3) Matrix(2436,-3443,1091,-1542) -> Matrix(37,-18,35,-17) Matrix(928,-1313,417,-590) -> Matrix(7,-4,9,-5) 2/3 Matrix(277,-394,116,-165) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(461,-660,322,-461) -> Matrix(3,-2,4,-3) (10/7,33/23) -> (1/2,1/1) Matrix(298,-429,207,-298) -> Matrix(1,0,3,-1) (33/23,13/9) -> (0/1,2/3) Matrix(434,-629,69,-100) -> Matrix(5,-4,-1,1) Matrix(526,-763,91,-132) -> Matrix(3,-4,1,-1) 2/1 Matrix(90,-133,23,-34) -> Matrix(1,0,1,-1) *** -> (0/1,2/1) Matrix(67,-102,44,-67) -> Matrix(3,-2,4,-3) (3/2,17/11) -> (1/2,1/1) Matrix(307,-476,198,-307) -> Matrix(9,-10,8,-9) (17/11,14/9) -> (1/1,5/4) Matrix(437,-682,66,-103) -> Matrix(3,-4,-2,3) Matrix(982,-1539,305,-478) -> Matrix(5,-8,3,-5) *** -> (4/3,2/1) Matrix(282,-445,109,-172) -> Matrix(1,-2,1,-1) (0/1,2/1).(1/1,1/0) Matrix(6401,-10174,3958,-6291) -> Matrix(3,-10,4,-13) Matrix(259,-412,22,-35) -> Matrix(-1,6,0,1) *** -> (3/1,1/0) Matrix(388,-619,173,-276) -> Matrix(1,4,1,3) Matrix(215,-346,64,-103) -> Matrix(5,-2,2,-1) Matrix(2248,-3633,1391,-2248) -> Matrix(1,0,3,-1) (21/13,173/107) -> (0/1,2/3) Matrix(16263,-26296,10058,-16263) -> Matrix(29,-20,42,-29) (173/107,76/47) -> (2/3,5/7) Matrix(7938,-12839,1861,-3010) -> Matrix(3,-2,13,-9) Matrix(1840,-2977,513,-830) -> Matrix(1,-2,1,-1) (0/1,2/1).(1/1,1/0) Matrix(1346,-2181,727,-1178) -> Matrix(3,-2,7,-5) Matrix(833,-1352,512,-831) -> Matrix(9,-8,8,-7) 1/1 Matrix(2791,-4546,1576,-2567) -> Matrix(3,-4,-4,5) Matrix(1661,-2708,468,-763) -> Matrix(5,-8,2,-3) 2/1 Matrix(511,-834,106,-173) -> Matrix(1,0,0,1) Matrix(106,-175,63,-104) -> Matrix(1,-2,1,-1) (0/1,2/1).(1/1,1/0) Matrix(393,-670,166,-283) -> Matrix(1,2,0,1) 1/0 Matrix(164,-285,61,-106) -> Matrix(1,0,-1,1) 0/1 Matrix(586,-1039,141,-250) -> Matrix(1,0,1,-1) *** -> (0/1,2/1) Matrix(181,-324,100,-179) -> Matrix(1,0,2,1) 0/1 Matrix(536,-977,79,-144) -> Matrix(1,0,1,-1) *** -> (0/1,2/1) Matrix(297,-542,40,-73) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(474,-871,197,-362) -> Matrix(3,-2,1,-1) Matrix(1966,-3635,609,-1126) -> Matrix(3,-2,1,-1) Matrix(312,-583,137,-256) -> Matrix(1,2,1,1) Matrix(248,-535,89,-192) -> Matrix(3,-4,5,-7) Matrix(228,-499,53,-116) -> Matrix(1,-2,1,-3) Matrix(227,-502,52,-115) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(189,-428,34,-77) -> Matrix(7,-10,2,-3) Matrix(545,-1248,238,-545) -> Matrix(11,-20,6,-11) (16/7,39/17) -> (5/3,2/1) Matrix(118,-273,51,-118) -> Matrix(1,0,1,-1) (39/17,7/3) -> (0/1,2/1) Matrix(150,-353,17,-40) -> Matrix(1,-4,1,-3) 2/1 Matrix(1651,-3894,700,-1651) -> Matrix(-1,8,0,1) (33/14,59/25) -> (4/1,1/0) Matrix(1299,-3068,550,-1299) -> Matrix(-1,2,0,1) (59/25,26/11) -> (1/1,1/0) Matrix(1544,-3721,361,-870) -> Matrix(1,-2,3,-5) Matrix(524,-1269,147,-356) -> Matrix(3,-2,1,-1) Matrix(81,-200,32,-79) -> Matrix(1,-2,0,1) 1/0 Matrix(787,-2014,220,-563) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(4511,-11562,1760,-4511) -> Matrix(1,2,0,-1) (41/16,141/55) -> (-1/1,1/0) Matrix(10999,-28200,4290,-10999) -> Matrix(-1,0,2,1) (141/55,100/39) -> (-1/1,0/1) Matrix(722,-1853,173,-444) -> Matrix(1,0,1,1) 0/1 Matrix(404,-1053,155,-404) -> Matrix(1,0,1,-1) (13/5,81/31) -> (0/1,2/1) Matrix(2107,-5508,806,-2107) -> Matrix(-1,2,0,1) (81/31,34/13) -> (1/1,1/0) Matrix(138,-365,31,-82) -> Matrix(1,0,1,-1) *** -> (0/1,2/1) Matrix(286,-779,105,-286) -> Matrix(-1,0,3,1) (19/7,41/15) -> (-2/3,0/1) Matrix(329,-902,120,-329) -> Matrix(1,0,8,-1) (41/15,11/4) -> (0/1,1/4) Matrix(193,-534,30,-83) -> Matrix(5,-2,-2,1) Matrix(607,-1688,178,-495) -> Matrix(9,-4,2,-1) Matrix(220,-619,59,-166) -> Matrix(5,-4,-1,1) Matrix(277,-788,58,-165) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(43,-126,14,-41) -> Matrix(3,-2,2,-1) 1/1 Matrix(1189,-3740,378,-1189) -> Matrix(5,-6,4,-5) (22/7,85/27) -> (1/1,3/2) Matrix(1106,-3485,351,-1106) -> Matrix(5,-8,3,-5) (85/27,41/13) -> (4/3,2/1) Matrix(633,-2000,94,-297) -> Matrix(1,-2,-2,3) Matrix(1538,-4959,477,-1538) -> Matrix(5,-8,3,-5) (29/9,171/53) -> (4/3,2/1) Matrix(7525,-24282,2332,-7525) -> Matrix(-1,4,0,1) (171/53,71/22) -> (2/1,1/0) Matrix(197,-644,26,-85) -> Matrix(1,-2,-2,3) Matrix(497,-1630,118,-387) -> Matrix(1,-2,4,-7) Matrix(300,-989,91,-300) -> Matrix(13,-24,7,-13) (23/7,43/13) -> (12/7,2/1) Matrix(259,-860,78,-259) -> Matrix(13,-28,6,-13) (43/13,10/3) -> (2/1,7/3) Matrix(1559,-5330,456,-1559) -> Matrix(-1,16,0,1) (41/12,65/19) -> (8/1,1/0) Matrix(911,-3120,266,-911) -> Matrix(1,2,0,-1) (65/19,24/7) -> (-1/1,1/0) Matrix(3405,-12052,962,-3405) -> Matrix(-1,6,0,1) (46/13,131/37) -> (3/1,1/0) Matrix(1442,-5109,407,-1442) -> Matrix(3,-8,1,-3) (131/37,39/11) -> (2/1,4/1) Matrix(133,-484,36,-131) -> Matrix(1,-10,0,1) 1/0 Matrix(188,-709,35,-132) -> Matrix(3,4,1,1) Matrix(545,-2312,128,-543) -> Matrix(1,0,4,1) 0/1 Matrix(925,-3948,138,-589) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(91,-414,20,-91) -> Matrix(3,-2,4,-3) (9/2,23/5) -> (1/2,1/1) Matrix(139,-644,30,-139) -> Matrix(7,-8,6,-7) (23/5,14/3) -> (1/1,4/3) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.