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): 2880 Minimal number of generators: 481 Number of equivalence classes of cusps: 90 Genus: 196 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -31/25 -31/26 0/1 1/1 31/27 31/24 31/23 31/22 155/109 3/2 31/20 93/59 31/19 155/91 31/18 93/52 31/17 2/1 15/7 124/57 31/14 93/41 62/27 217/92 31/13 155/64 5/2 155/61 31/12 186/71 124/47 62/23 93/34 31/11 3/1 62/19 124/37 155/46 186/55 31/9 7/2 18/5 62/17 310/83 248/65 31/8 4/1 21/5 124/29 30/7 13/3 31/7 9/2 14/3 62/13 24/5 29/6 5/1 31/6 26/5 21/4 16/3 27/5 11/2 28/5 62/11 17/3 23/4 29/5 6/1 31/5 25/4 19/3 13/2 20/3 27/4 7/1 22/3 37/5 15/2 23/3 31/4 8/1 17/2 9/1 19/2 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 -1/1 -1/2 -9/1 -1/4 -17/2 -2/1 -1/1 -8/1 -1/1 -1/2 -31/4 -1/2 -23/3 -1/2 -38/5 -1/2 -1/3 -15/2 -1/2 0/1 -22/3 -1/2 -1/3 -7/1 -1/4 -27/4 -2/3 -1/2 -47/7 -1/2 -20/3 -3/5 -1/2 -13/2 -2/5 -1/3 -19/3 -1/2 -6/1 -1/3 -1/4 -23/4 -2/7 -1/4 -17/3 -1/6 -28/5 -1/1 -1/2 -11/2 -1/3 0/1 -27/5 -3/10 -16/3 -1/4 -1/5 -21/4 -2/7 -3/11 -5/1 -1/4 -29/6 -1/5 -2/11 -24/5 -1/5 -1/6 -19/4 -1/3 0/1 -33/7 -1/4 -14/3 -1/4 -1/5 -23/5 -1/4 -32/7 -3/14 -1/5 -9/2 -2/9 -1/5 -31/7 -1/5 -22/5 -1/5 -5/26 -35/8 -4/21 -3/16 -48/11 -1/5 -1/6 -61/14 -5/27 -2/11 -13/3 -1/6 -30/7 -1/5 -3/16 -47/11 -1/6 -17/4 -1/5 -2/11 -21/5 -5/28 -4/1 -1/5 -1/6 -31/8 -1/6 -27/7 -1/6 -50/13 -5/31 -9/56 -23/6 -1/6 -2/13 -42/11 -5/32 -7/45 -19/5 -1/6 -34/9 -1/6 -1/7 -15/4 -1/6 0/1 -71/19 -1/6 -56/15 -1/5 -1/6 -97/26 -1/6 -2/13 -41/11 -3/16 -26/7 -1/6 -5/31 -11/3 -1/6 -40/11 -3/20 -1/7 -29/8 -2/13 -1/7 -47/13 -1/6 -112/31 -1/6 -1/7 -65/18 -2/13 -3/20 -18/5 -1/6 -1/7 -61/17 -17/114 -43/12 -6/41 -1/7 -25/7 -3/22 -57/16 -1/6 0/1 -32/9 -1/6 -1/7 -7/2 -2/13 -1/7 -31/9 -1/7 -24/7 -1/7 -7/50 -65/19 -7/50 -41/12 -4/29 -7/51 -17/5 -3/22 -61/18 -1/7 -2/15 -44/13 -3/22 -5/37 -71/21 -13/98 -27/8 -2/15 -1/8 -91/27 -1/8 -155/46 -1/8 -64/19 -1/8 -5/41 -37/11 -1/6 -84/25 -1/7 -1/8 -47/14 -2/15 -1/8 -57/17 -1/10 -10/3 -1/6 -1/7 -33/10 -1/7 0/1 -23/7 -3/22 -59/18 -3/22 -2/15 -36/11 -3/22 -5/37 -13/4 -2/15 -3/23 -29/9 -1/8 -16/5 -1/8 -3/25 -19/6 -1/7 0/1 -41/13 -11/82 -22/7 -3/23 -1/8 -3/1 -1/8 -23/8 -1/8 -2/17 -20/7 -5/43 -3/26 -57/20 -4/35 -5/44 -37/13 -1/8 -17/6 -6/53 -1/9 -31/11 -1/9 -14/5 -1/9 -5/46 -25/9 -7/66 -11/4 -1/9 0/1 -52/19 -11/98 -1/9 -93/34 -1/9 -41/15 -11/100 -71/26 -1/9 -4/37 -30/11 -1/9 -3/28 -49/18 -1/9 -4/37 -19/7 -3/28 -46/17 -1/9 -3/28 -27/10 -7/66 -2/19 -8/3 -3/29 -1/10 -45/17 -1/10 -37/14 -1/9 -2/19 -66/25 -1/9 -1/10 -29/11 -1/10 -21/8 -1/9 -2/19 -76/29 -3/28 -5/47 -55/21 -9/86 -89/34 -5/48 -8/77 -123/47 -29/280 -34/13 -3/29 -1/10 -47/18 -2/19 -1/10 -13/5 -1/10 -31/12 -1/10 -18/7 -1/10 -7/71 -59/23 -11/112 -41/16 -13/133 -4/41 -64/25 -13/134 -3/31 -23/9 -1/10 -74/29 -1/10 -5/51 -51/20 -3/31 -2/21 -28/11 -1/10 -1/11 -61/24 -2/21 -1/11 -33/13 -1/10 -5/2 -1/10 -2/21 -32/13 -1/10 -1/11 -59/24 -1/10 -2/21 -27/11 -3/32 -22/9 -1/11 -1/12 -83/34 -1/17 0/1 -61/25 -3/26 -100/41 -3/29 -1/10 -39/16 -1/10 -4/41 -17/7 -3/32 -63/26 -2/21 -1/11 -109/45 -3/32 -155/64 -3/32 -46/19 -3/32 -1/11 -29/12 -2/21 -1/11 -12/5 -5/54 -1/11 -31/13 -1/11 -19/8 -1/11 -8/89 -64/27 -5/56 -9/101 -45/19 -5/56 -71/30 -17/191 -4/45 -26/11 -1/11 -3/34 -59/25 -1/12 -92/39 -9/98 -1/11 -33/14 -1/11 -4/45 -40/17 -1/11 -3/34 -7/3 -1/12 -30/13 -1/11 -5/56 -23/10 -3/34 -2/23 -16/7 -3/35 -1/12 -41/18 -1/13 0/1 -25/11 -3/34 -59/26 -2/23 -1/12 -93/41 -1/12 -34/15 -1/11 -1/12 -43/19 -1/12 -9/4 -2/23 -3/35 -47/21 -1/12 -38/17 -3/35 -1/12 -29/13 -1/12 -49/22 -4/47 -5/59 -20/9 -9/107 -1/12 -31/14 -1/12 -11/5 -1/12 -24/11 -3/37 -5/62 -37/17 -13/162 -50/23 -9/113 -7/88 -13/6 -2/25 -1/13 -15/7 -1/12 -17/8 -2/25 -1/13 -2/1 -1/13 -1/14 -17/9 -1/14 -15/8 -1/14 0/1 -13/7 -1/14 -63/34 -7/101 -2/29 -50/27 -7/101 -9/130 -87/47 -29/420 -124/67 -2/29 -37/20 -2/29 -13/189 -24/13 -3/44 -1/15 -35/19 -1/14 -11/6 -4/59 -1/15 -31/17 -1/15 -20/11 -1/15 -7/106 -29/16 -1/15 -2/31 -38/21 -1/15 -3/46 -47/26 -3/46 -2/31 -9/5 -3/46 -34/19 -5/79 -1/16 -93/52 -1/16 -59/33 -1/16 -84/47 -1/16 -1/17 -25/14 -1/15 0/1 -66/37 -1/15 -1/16 -41/23 -5/78 -16/9 -1/15 -1/16 -39/22 -1/18 0/1 -62/35 0/1 -23/13 -1/14 -30/17 -1/15 -1/16 -7/4 -1/15 -2/31 -33/19 -1/16 -125/72 -1/15 0/1 -217/125 -1/15 -92/53 -1/15 -1/16 -59/34 -2/31 -1/16 -26/15 -3/47 -1/16 -97/56 -3/46 -2/31 -71/41 -9/140 -45/26 -3/47 -4/63 -64/37 -5/78 -3/47 -83/48 -19/299 -4/63 -19/11 -1/16 -31/18 -1/16 -12/7 -1/16 -3/49 -65/38 -5/82 -2/33 -118/69 -5/83 -3/50 -53/31 -3/50 -41/24 -1/17 0/1 -29/17 -1/16 -46/27 -5/79 -1/16 -155/91 -1/16 -109/64 -1/16 -20/321 -63/37 -15/242 -17/10 -3/49 -2/33 -39/23 -1/16 -100/59 -1/16 -3/49 -61/36 -3/49 -2/33 -83/49 -15/248 -22/13 -3/50 -1/17 -27/16 -1/16 -2/33 -59/35 -5/84 -32/19 -1/17 -5/86 -5/3 -1/16 -33/20 -4/67 -1/17 -94/57 -17/288 -1/17 -155/94 -1/17 -61/37 -11/188 -28/17 -1/17 -1/18 -23/14 -1/16 -2/33 -64/39 -1/16 -5/81 -105/64 -3/49 -8/131 -41/25 -7/116 -59/36 -1/16 -2/33 -18/11 -3/50 -1/17 -31/19 -1/17 -13/8 -1/17 -2/35 -47/29 -1/18 -34/21 -1/18 -1/19 -123/76 -1/19 0/1 -89/55 -1/18 -55/34 -1/21 0/1 -186/115 0/1 -131/81 -1/8 -76/47 -1/14 -1/15 -97/60 -2/31 -1/16 -21/13 -3/50 -71/44 -1/17 -4/69 -121/75 -5/88 -50/31 -1/16 -1/17 -29/18 -1/17 -2/35 -124/77 -2/35 -95/59 -1/18 -66/41 -1/17 -1/18 -37/23 -1/16 -45/28 -1/17 -4/69 -8/5 -1/17 -1/18 -35/22 -1/22 0/1 -62/39 0/1 -27/17 -1/14 -46/29 -3/47 -1/16 -19/12 -1/17 0/1 -49/31 -1/18 -30/19 -1/16 -1/17 -41/26 -1/17 0/1 -93/59 -1/17 -52/33 -1/17 -3/52 -63/40 -2/35 -3/53 -11/7 -1/18 -36/23 -1/18 -3/55 -97/62 -2/37 -3/56 -61/39 -5/96 -86/55 -1/20 -1/21 -25/16 -1/15 0/1 -64/41 -1/17 -5/86 -39/25 -1/18 -14/9 -1/17 -1/18 -31/20 -1/18 -17/11 -1/18 -37/24 -2/37 -1/19 -20/13 -1/19 -1/20 -23/15 -1/18 -3/2 -1/18 0/1 -25/17 -1/20 -22/15 -1/18 -1/19 -41/28 -1/13 0/1 -19/13 -1/18 -16/11 -1/18 -1/19 -29/20 -2/37 -1/19 -13/9 -1/20 -62/43 0/1 -49/34 -1/13 0/1 -36/25 -1/16 -1/17 -59/41 -1/18 -23/16 -2/35 -1/18 -56/39 -1/17 -1/18 -89/62 -4/71 -1/18 -33/23 -1/18 -43/30 -2/37 -1/19 -10/7 -1/18 -1/19 -67/47 -1/22 -124/87 0/1 -57/40 -1/16 0/1 -104/73 -3/53 -1/18 -47/33 -1/18 -37/26 -3/55 -2/37 -64/45 -7/132 -1/19 -155/109 -1/19 -91/64 -1/19 -8/153 -27/19 -1/20 -98/69 -1/20 -1/21 -71/50 -1/25 0/1 -186/131 0/1 -115/81 -1/8 -44/31 -1/16 -1/17 -61/43 -7/124 -17/12 -2/37 -1/19 -41/29 -5/92 -65/46 -2/37 -3/56 -89/63 -1/18 -24/17 -3/56 -1/19 -31/22 -1/19 -7/5 -1/20 -32/23 -3/56 -1/19 -57/41 -3/58 -82/59 -1/19 -3/58 -25/18 -1/19 0/1 -93/67 -1/19 -68/49 -1/19 -5/96 -43/31 -3/58 -104/75 -7/136 -9/175 -165/119 -17/332 -61/44 -1/19 -2/39 -18/13 -3/59 -1/20 -65/47 -3/58 -112/81 -3/59 -7/138 -47/34 -6/119 -1/20 -123/89 -13/262 -76/55 -1/20 -1/21 -29/21 -1/20 -69/50 -1/21 0/1 -40/29 -1/20 -1/21 -51/37 -1/22 -62/45 0/1 -11/8 -1/19 0/1 -37/27 -7/136 -100/73 -3/59 -1/20 -63/46 -2/39 -3/59 -89/65 -1/20 -26/19 -3/59 -1/20 -93/68 -1/20 -67/49 -1/20 -41/30 -1/19 0/1 -97/71 -1/18 -56/41 -1/19 -3/58 -183/134 -11/214 -2/39 -310/227 -2/39 -127/93 -9/176 -71/52 -3/59 -4/79 -15/11 -1/20 -34/25 -3/59 -1/20 -53/39 -1/22 -72/53 -1/19 -1/20 -19/14 -1/19 0/1 -61/45 -13/252 -103/76 -21/409 -2/39 -248/183 -2/39 -145/107 -29/566 -42/31 -5/98 -3/59 -23/17 -1/20 -50/37 -5/99 -1/20 -77/57 -1/20 -27/20 -6/119 -1/20 -31/23 -1/20 -4/3 -1/20 -1/21 -25/19 -1/22 -21/16 -3/61 -2/41 -17/13 -1/20 -47/36 -1/20 -2/41 -124/95 -2/41 -77/59 -3/62 -30/23 -1/20 -1/21 -13/10 -2/41 -1/21 -74/57 -9/185 -7/144 -61/47 -19/392 -48/37 -3/62 -7/145 -83/64 -4/83 -1/21 -35/27 -3/62 -22/17 -7/146 -1/21 -31/24 -1/21 -9/7 -3/64 -41/32 -1/21 0/1 -32/25 -1/20 -1/21 -23/18 -2/43 -1/22 -60/47 -5/109 -1/22 -37/29 -1/24 -14/11 -1/21 -3/64 -61/48 -2/43 -3/65 -47/37 -1/22 -33/26 -1/21 0/1 -52/41 -1/20 -1/21 -19/15 -3/64 -62/49 -2/43 -43/34 -2/43 -7/151 -24/19 -3/65 -1/22 -29/23 -1/22 -5/4 -2/43 -1/22 -31/25 -1/22 -26/21 -1/22 -11/243 -21/17 -9/200 -16/13 -1/22 -3/67 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1/24 21/17 9/218 5/4 1/24 2/47 29/23 1/24 24/19 1/24 3/71 19/15 3/70 33/26 0/1 1/23 14/11 3/70 1/23 23/18 1/24 2/47 32/25 1/23 1/22 9/7 3/70 31/24 1/23 22/17 1/23 7/160 35/27 3/68 48/37 7/159 3/68 61/47 19/430 13/10 1/23 2/45 30/23 1/23 1/22 47/36 2/45 1/22 17/13 1/22 21/16 2/45 3/67 4/3 1/23 1/22 31/23 1/22 27/20 1/22 6/131 50/37 1/22 5/109 23/17 1/22 42/31 3/65 5/108 19/14 0/1 1/21 34/25 1/22 3/65 15/11 1/22 71/52 4/87 3/65 56/41 3/64 1/21 97/71 1/20 41/30 0/1 1/21 26/19 1/22 3/65 11/8 0/1 1/21 40/29 1/23 1/22 29/21 1/22 47/34 1/22 6/131 112/81 7/152 3/65 65/47 3/64 18/13 1/22 3/65 61/44 2/43 1/21 43/31 3/64 25/18 0/1 1/21 57/41 3/64 32/23 1/21 3/62 7/5 1/22 31/22 1/21 24/17 1/21 3/62 65/46 3/62 2/41 41/29 5/102 17/12 1/21 2/41 61/43 7/138 44/31 1/19 1/18 71/50 0/1 1/27 27/19 1/22 91/64 8/169 1/21 155/109 1/21 64/45 1/21 7/146 37/26 2/41 3/61 84/59 1/21 1/20 47/33 1/20 57/40 0/1 1/18 10/7 1/21 1/20 33/23 1/20 23/16 1/20 2/39 59/41 1/20 36/25 1/19 1/18 13/9 1/22 29/20 1/21 2/41 16/11 1/21 1/20 19/13 1/20 41/28 0/1 1/15 22/15 1/21 1/20 3/2 0/1 1/20 23/15 1/20 20/13 1/22 1/21 57/37 1/22 37/24 1/21 2/41 17/11 1/20 31/20 1/20 14/9 1/20 1/19 25/16 0/1 1/17 11/7 1/20 52/33 3/58 1/19 93/59 1/19 41/26 0/1 1/19 71/45 3/58 30/19 1/19 1/18 49/31 1/20 19/12 0/1 1/19 46/29 1/18 3/53 27/17 1/16 8/5 1/20 1/19 45/28 4/77 1/19 37/23 1/18 66/41 1/20 1/19 29/18 2/39 1/19 21/13 3/56 76/47 1/17 1/16 55/34 0/1 1/23 89/55 1/20 123/76 0/1 1/21 34/21 1/21 1/20 47/29 1/20 13/8 2/39 1/19 31/19 1/19 18/11 1/19 3/56 59/36 2/37 1/18 41/25 7/130 64/39 5/91 1/18 23/14 2/37 1/18 74/45 1/17 1/16 51/31 1/18 28/17 1/20 1/19 61/37 11/210 33/20 1/19 4/75 5/3 1/18 32/19 5/96 1/19 59/35 5/94 27/16 2/37 1/18 22/13 1/19 3/56 83/49 15/278 61/36 2/37 3/55 100/59 3/55 1/18 39/23 1/18 17/10 2/37 3/55 63/37 15/272 109/64 20/361 1/18 155/91 1/18 46/27 1/18 5/89 29/17 1/18 12/7 3/55 1/18 31/18 1/18 19/11 1/18 64/37 3/53 5/88 45/26 4/71 3/53 71/41 9/158 26/15 1/18 3/53 59/34 1/18 2/35 92/53 1/18 1/17 33/19 1/18 40/23 1/18 1/17 7/4 2/35 1/17 30/17 1/18 1/17 23/13 1/16 16/9 1/18 1/17 41/23 5/88 25/14 0/1 1/17 59/33 1/18 93/52 1/18 34/19 1/18 5/89 43/24 3/53 2/35 9/5 3/52 47/26 2/35 3/52 38/21 3/52 1/17 29/16 2/35 1/17 49/27 5/86 20/11 7/120 1/17 31/17 1/17 11/6 1/17 4/67 24/13 1/17 3/50 37/20 13/215 2/33 50/27 9/148 7/115 13/7 1/16 15/8 0/1 1/16 17/9 1/16 2/1 1/16 1/15 17/8 1/15 2/29 15/7 1/14 13/6 1/15 2/29 63/29 19/278 50/23 7/102 9/131 87/40 29/421 2/29 124/57 2/29 37/17 13/188 24/11 5/72 3/43 35/16 7/100 4/57 11/5 1/14 31/14 1/14 20/9 1/14 9/125 29/13 1/14 38/17 1/14 3/41 47/21 1/14 9/4 3/41 2/27 34/15 1/14 1/13 93/41 1/14 59/26 1/14 2/27 84/37 1/14 1/13 25/11 3/40 66/29 1/14 1/13 41/18 0/1 1/15 16/7 1/14 3/41 39/17 5/68 62/27 2/27 23/10 2/27 3/40 30/13 5/66 1/13 7/3 1/14 33/14 4/53 1/13 125/53 19/248 217/92 1/13 92/39 1/13 9/116 59/25 1/14 26/11 3/40 1/13 97/41 3/40 71/30 4/53 17/225 45/19 5/66 64/27 9/119 5/66 83/35 29/382 19/8 8/105 1/13 31/13 1/13 12/5 1/13 5/64 65/27 7/88 118/49 5/62 3/37 53/22 0/1 1/13 41/17 7/90 29/12 1/13 2/25 46/19 1/13 3/38 155/64 3/38 109/45 3/38 63/26 1/13 2/25 17/7 3/38 39/16 4/49 1/12 100/41 1/12 3/35 61/25 3/32 83/34 0/1 1/19 22/9 1/14 1/13 27/11 3/38 59/24 2/25 1/12 32/13 1/13 1/12 5/2 2/25 1/12 33/13 1/12 94/37 1/13 1/12 155/61 1/13 61/24 1/13 2/25 28/11 1/13 1/12 23/9 1/12 64/25 3/37 13/160 105/41 7/86 41/16 4/49 13/159 59/23 11/134 18/7 7/85 1/12 31/12 1/12 13/5 1/12 47/18 1/12 2/23 34/13 1/12 3/35 123/47 29/338 89/34 8/93 5/58 55/21 9/104 186/71 2/23 131/50 2/23 17/195 76/29 5/57 3/34 97/37 3/34 21/8 2/23 1/11 71/27 1/10 121/46 0/1 1/14 50/19 1/13 1/12 29/11 1/12 124/47 2/23 95/36 2/23 1/11 66/25 1/12 1/11 37/14 2/23 1/11 45/17 1/12 8/3 1/12 3/35 35/13 9/104 62/23 2/23 27/10 2/23 7/80 46/17 3/34 1/11 19/7 3/34 49/18 4/45 1/11 30/11 3/34 1/11 41/15 11/122 93/34 1/11 52/19 1/11 11/120 63/23 11/118 11/4 0/1 1/11 36/13 1/12 3/35 97/35 1/12 61/22 3/35 2/23 86/31 1/12 3/35 25/9 7/80 64/23 3/34 13/147 39/14 3/34 4/45 14/5 5/56 1/11 31/11 1/11 17/6 1/11 6/65 37/13 1/10 20/7 3/32 5/53 23/8 2/21 1/10 3/1 1/10 25/8 5/49 4/39 22/7 1/10 3/29 41/13 11/104 19/6 0/1 1/9 16/5 3/31 1/10 29/9 1/10 13/4 3/29 2/19 62/19 2/19 49/15 11/104 36/11 5/47 3/28 59/18 2/19 3/28 23/7 3/28 56/17 3/28 1/9 89/27 7/64 33/10 0/1 1/9 43/13 3/28 10/3 1/9 1/8 67/20 0/1 1/6 124/37 0/1 57/17 1/12 104/31 1/12 1/11 47/14 1/10 2/19 37/11 1/8 64/19 5/51 1/10 155/46 1/10 91/27 1/10 27/8 1/10 2/19 98/29 5/48 7/67 71/21 13/124 186/55 2/19 115/34 2/19 21/199 44/13 5/47 3/28 61/18 2/19 1/9 17/5 3/28 41/12 7/65 4/37 65/19 7/64 89/26 3/28 4/37 24/7 7/64 1/9 31/9 1/9 7/2 1/9 2/17 32/9 1/9 1/8 57/16 0/1 1/8 82/23 1/10 3/29 25/7 3/28 93/26 1/9 68/19 1/9 13/116 43/12 1/9 6/53 104/29 9/79 13/114 165/46 4/35 39/341 61/17 17/148 18/5 1/9 1/8 65/18 3/26 2/17 112/31 1/9 1/8 47/13 1/8 123/34 0/1 1/7 76/21 1/10 1/9 29/8 1/9 2/17 69/19 5/44 40/11 1/9 3/26 51/14 5/43 2/17 62/17 2/17 11/3 1/8 37/10 5/43 2/17 100/27 7/59 5/42 63/17 17/142 89/24 7/58 4/33 26/7 5/41 1/8 93/25 1/8 67/18 1/8 8/63 41/11 3/22 97/26 2/17 1/8 56/15 1/8 1/7 183/49 1/2 310/83 0/1 127/34 0/1 1/12 71/19 1/8 15/4 0/1 1/8 34/9 1/9 1/8 53/14 0/1 1/7 72/19 1/9 5/44 19/5 1/8 61/16 1/9 2/17 103/27 19/162 248/65 2/17 145/38 2/17 31/263 42/11 7/59 5/42 23/6 2/17 1/8 50/13 9/74 5/41 77/20 2/17 1/8 27/7 1/8 31/8 1/8 4/1 1/8 1/7 25/6 0/1 1/7 21/5 5/38 17/4 2/15 1/7 47/11 1/8 124/29 2/15 77/18 2/15 3/22 30/7 3/22 1/7 13/3 1/8 74/17 7/52 5/37 61/14 2/15 5/37 48/11 1/8 1/7 83/19 13/96 35/8 3/22 4/29 22/5 5/36 1/7 31/7 1/7 9/2 1/7 2/13 41/9 5/36 32/7 1/7 3/20 23/5 1/6 60/13 3/22 1/7 37/8 5/33 2/13 14/3 1/7 1/6 61/13 13/80 47/10 1/6 6/35 33/7 1/6 52/11 1/6 1/5 19/4 0/1 1/5 62/13 0/1 43/9 1/10 24/5 1/8 1/7 29/6 2/15 1/7 5/1 1/6 31/6 1/6 26/5 1/6 5/29 21/4 3/17 2/11 16/3 1/7 1/6 27/5 3/16 65/12 1/6 2/11 38/7 1/6 1/5 11/2 0/1 1/5 61/11 11/52 50/9 3/13 1/4 39/7 1/4 28/5 1/4 1/3 45/8 -1/1 0/1 62/11 0/1 17/3 1/8 23/4 1/6 2/11 29/5 1/6 35/6 1/6 4/23 6/1 1/6 1/5 31/5 1/5 25/4 1/5 4/19 19/3 1/4 13/2 1/5 2/9 33/5 1/4 20/3 1/4 3/11 67/10 0/1 1/2 47/7 1/4 74/11 1/4 1/3 27/4 1/4 2/7 7/1 1/6 22/3 1/5 1/4 37/5 3/14 15/2 0/1 1/4 38/5 1/5 1/4 23/3 1/4 31/4 1/4 8/1 1/4 1/3 17/2 1/3 2/5 9/1 1/6 19/2 0/1 1/3 10/1 1/4 1/3 11/1 1/2 12/1 1/1 1/0 1/0 0/1 1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(63,682,-40,-433) (-10/1,1/0) -> (-52/33,-63/40) Hyperbolic Matrix(125,1178,-92,-867) (-10/1,-9/1) -> (-53/39,-72/53) Hyperbolic Matrix(187,1612,108,931) (-9/1,-17/2) -> (45/26,71/41) Hyperbolic Matrix(61,496,38,309) (-17/2,-8/1) -> (8/5,45/28) Hyperbolic Matrix(63,496,8,63) (-8/1,-31/4) -> (31/4,8/1) Hyperbolic Matrix(185,1426,24,185) (-31/4,-23/3) -> (23/3,31/4) Hyperbolic Matrix(495,3782,292,2231) (-23/3,-38/5) -> (100/59,39/23) Hyperbolic Matrix(311,2356,172,1303) (-38/5,-15/2) -> (47/26,38/21) Hyperbolic Matrix(309,2294,-92,-683) (-15/2,-22/3) -> (-84/25,-47/14) Hyperbolic Matrix(247,1798,68,495) (-22/3,-7/1) -> (69/19,40/11) Hyperbolic Matrix(309,2108,118,805) (-7/1,-27/4) -> (89/34,55/21) Hyperbolic Matrix(497,3348,-368,-2479) (-27/4,-47/7) -> (-77/57,-27/20) Hyperbolic Matrix(869,5828,-610,-4091) (-47/7,-20/3) -> (-104/73,-47/33) Hyperbolic Matrix(187,1240,-84,-557) (-20/3,-13/2) -> (-49/22,-20/9) Hyperbolic Matrix(185,1178,68,433) (-13/2,-19/3) -> (19/7,49/18) Hyperbolic Matrix(247,1550,-178,-1117) (-19/3,-6/1) -> (-68/49,-43/31) Hyperbolic Matrix(247,1426,-172,-993) (-6/1,-23/4) -> (-23/16,-56/39) Hyperbolic Matrix(185,1054,76,433) (-23/4,-17/3) -> (17/7,39/16) Hyperbolic Matrix(309,1736,-254,-1427) (-17/3,-28/5) -> (-28/23,-45/37) Hyperbolic Matrix(311,1736,-122,-681) (-28/5,-11/2) -> (-51/20,-28/11) Hyperbolic Matrix(125,682,-68,-371) (-11/2,-27/5) -> (-35/19,-11/6) Hyperbolic Matrix(311,1674,196,1055) (-27/5,-16/3) -> (46/29,27/17) Hyperbolic Matrix(187,992,82,435) (-16/3,-21/4) -> (41/18,16/7) Hyperbolic Matrix(309,1612,-226,-1179) (-21/4,-5/1) -> (-67/49,-41/30) Hyperbolic Matrix(63,310,38,187) (-5/1,-29/6) -> (33/20,5/3) Hyperbolic Matrix(373,1798,206,993) (-29/6,-24/5) -> (38/21,29/16) Hyperbolic Matrix(311,1488,-246,-1177) (-24/5,-19/4) -> (-43/34,-24/19) Hyperbolic Matrix(433,2046,-302,-1427) (-19/4,-33/7) -> (-33/23,-43/30) Hyperbolic Matrix(619,2914,-448,-2109) (-33/7,-14/3) -> (-76/55,-29/21) Hyperbolic Matrix(187,868,-120,-557) (-14/3,-23/5) -> (-39/25,-14/9) Hyperbolic Matrix(311,1426,176,807) (-23/5,-32/7) -> (30/17,23/13) Hyperbolic Matrix(557,2542,-204,-931) (-32/7,-9/2) -> (-71/26,-30/11) Hyperbolic Matrix(125,558,28,125) (-9/2,-31/7) -> (31/7,9/2) Hyperbolic Matrix(309,1364,70,309) (-31/7,-22/5) -> (22/5,31/7) Hyperbolic Matrix(311,1364,184,807) (-22/5,-35/8) -> (27/16,22/13) Hyperbolic Matrix(1675,7316,-1036,-4525) (-35/8,-48/11) -> (-76/47,-97/60) Hyperbolic Matrix(2417,10540,668,2913) (-48/11,-61/14) -> (123/34,76/21) Hyperbolic Matrix(371,1612,-200,-869) (-61/14,-13/3) -> (-13/7,-63/34) Hyperbolic Matrix(433,1860,274,1177) (-13/3,-30/7) -> (30/19,49/31) Hyperbolic Matrix(869,3720,-666,-2851) (-30/7,-47/11) -> (-77/59,-30/23) Hyperbolic Matrix(247,1054,116,495) (-47/11,-17/4) -> (17/8,15/7) Hyperbolic Matrix(249,1054,176,745) (-17/4,-21/5) -> (41/29,17/12) Hyperbolic Matrix(371,1550,-208,-869) (-21/5,-4/1) -> (-66/37,-41/23) Hyperbolic Matrix(63,248,16,63) (-4/1,-31/8) -> (31/8,4/1) Hyperbolic Matrix(433,1674,112,433) (-31/8,-27/7) -> (27/7,31/8) Hyperbolic Matrix(869,3348,-740,-2851) (-27/7,-50/13) -> (-74/63,-27/23) Hyperbolic Matrix(743,2852,452,1735) (-50/13,-23/6) -> (23/14,74/45) Hyperbolic Matrix(373,1426,130,497) (-23/6,-42/11) -> (20/7,23/8) Hyperbolic Matrix(993,3782,-716,-2727) (-42/11,-19/5) -> (-43/31,-104/75) Hyperbolic Matrix(557,2108,-246,-931) (-19/5,-34/9) -> (-34/15,-43/19) Hyperbolic Matrix(559,2108,214,807) (-34/9,-15/4) -> (47/18,34/13) Hyperbolic Matrix(929,3472,514,1921) (-15/4,-71/19) -> (9/5,47/26) Hyperbolic Matrix(3037,11346,-1776,-6635) (-71/19,-56/15) -> (-118/69,-53/31) Hyperbolic Matrix(681,2542,116,433) (-56/15,-97/26) -> (35/6,6/1) Hyperbolic Matrix(2543,9486,582,2171) (-97/26,-41/11) -> (83/19,35/8) Hyperbolic Matrix(433,1612,-350,-1303) (-41/11,-26/7) -> (-26/21,-21/17) Hyperbolic Matrix(185,682,-118,-435) (-26/7,-11/3) -> (-11/7,-36/23) Hyperbolic Matrix(681,2480,-494,-1799) (-11/3,-40/11) -> (-40/29,-51/37) Hyperbolic Matrix(683,2480,-290,-1053) (-40/11,-29/8) -> (-33/14,-40/17) Hyperbolic Matrix(805,2914,-634,-2295) (-29/8,-47/13) -> (-47/37,-33/26) Hyperbolic Matrix(3037,10974,-2248,-8123) (-47/13,-112/31) -> (-50/37,-77/57) Hyperbolic Matrix(4651,16802,1768,6387) (-112/31,-65/18) -> (121/46,50/19) Hyperbolic Matrix(619,2232,378,1363) (-65/18,-18/5) -> (18/11,59/36) Hyperbolic Matrix(1053,3782,742,2665) (-18/5,-61/17) -> (61/43,44/31) Hyperbolic Matrix(1055,3782,-778,-2789) (-61/17,-43/12) -> (-19/14,-61/45) Hyperbolic Matrix(433,1550,-364,-1303) (-43/12,-25/7) -> (-25/21,-19/16) Hyperbolic Matrix(991,3534,-348,-1241) (-25/7,-57/16) -> (-57/20,-37/13) Hyperbolic Matrix(557,1984,226,805) (-57/16,-32/9) -> (32/13,5/2) Hyperbolic Matrix(123,434,70,247) (-32/9,-7/2) -> (7/4,30/17) Hyperbolic Matrix(125,434,36,125) (-7/2,-31/9) -> (31/9,7/2) Hyperbolic Matrix(433,1488,126,433) (-31/9,-24/7) -> (24/7,31/9) Hyperbolic Matrix(1177,4030,-960,-3287) (-24/7,-65/19) -> (-65/53,-38/31) Hyperbolic Matrix(1487,5084,580,1983) (-65/19,-41/12) -> (41/16,59/23) Hyperbolic Matrix(309,1054,236,805) (-41/12,-17/5) -> (17/13,21/16) Hyperbolic Matrix(621,2108,256,869) (-17/5,-61/18) -> (63/26,17/7) Hyperbolic Matrix(1117,3782,806,2729) (-61/18,-44/13) -> (18/13,61/44) Hyperbolic Matrix(2419,8184,-1704,-5765) (-44/13,-71/21) -> (-115/81,-44/31) Hyperbolic Matrix(2605,8804,-1504,-5083) (-71/21,-27/8) -> (-97/56,-71/41) Hyperbolic Matrix(1177,3968,202,681) (-27/8,-91/27) -> (29/5,35/6) Hyperbolic Matrix(8371,28210,2484,8371) (-91/27,-155/46) -> (155/46,91/27) Hyperbolic Matrix(5889,19840,1748,5889) (-155/46,-64/19) -> (64/19,155/46) Hyperbolic Matrix(1179,3968,424,1427) (-64/19,-37/11) -> (25/9,64/23) Hyperbolic Matrix(1549,5208,682,2293) (-37/11,-84/25) -> (84/37,25/11) Hyperbolic Matrix(1737,5828,-1478,-4959) (-47/14,-57/17) -> (-67/57,-47/40) Hyperbolic Matrix(371,1240,-260,-869) (-57/17,-10/3) -> (-10/7,-67/47) Hyperbolic Matrix(619,2046,-488,-1613) (-10/3,-33/10) -> (-33/26,-52/41) Hyperbolic Matrix(433,1426,-358,-1179) (-33/10,-23/7) -> (-23/19,-29/24) Hyperbolic Matrix(435,1426,284,931) (-23/7,-59/18) -> (3/2,23/15) Hyperbolic Matrix(1117,3658,644,2109) (-59/18,-36/11) -> (26/15,59/34) Hyperbolic Matrix(683,2232,-474,-1549) (-36/11,-13/4) -> (-49/34,-36/25) Hyperbolic Matrix(557,1798,-250,-807) (-13/4,-29/9) -> (-29/13,-49/22) Hyperbolic Matrix(559,1798,328,1055) (-29/9,-16/5) -> (46/27,29/17) Hyperbolic Matrix(371,1178,234,743) (-16/5,-19/6) -> (19/12,46/29) Hyperbolic Matrix(745,2356,314,993) (-19/6,-41/13) -> (83/35,19/8) Hyperbolic Matrix(867,2728,512,1611) (-41/13,-22/7) -> (22/13,83/49) Hyperbolic Matrix(497,1550,-278,-867) (-22/7,-3/1) -> (-59/33,-84/47) Hyperbolic Matrix(495,1426,344,991) (-3/1,-23/8) -> (23/16,59/41) Hyperbolic Matrix(497,1426,130,373) (-23/8,-20/7) -> (42/11,23/6) Hyperbolic Matrix(2479,7068,-1740,-4961) (-20/7,-57/20) -> (-57/40,-104/73) Hyperbolic Matrix(807,2294,502,1427) (-37/13,-17/6) -> (45/28,37/23) Hyperbolic Matrix(373,1054,132,373) (-17/6,-31/11) -> (31/11,17/6) Hyperbolic Matrix(309,868,110,309) (-31/11,-14/5) -> (14/5,31/11) Hyperbolic Matrix(311,868,-244,-681) (-14/5,-25/9) -> (-37/29,-14/11) Hyperbolic Matrix(247,682,-180,-497) (-25/9,-11/4) -> (-11/8,-37/27) Hyperbolic Matrix(249,682,-226,-619) (-11/4,-52/19) -> (-10/9,-11/10) Hyperbolic Matrix(3535,9672,1292,3535) (-52/19,-93/34) -> (93/34,52/19) Hyperbolic Matrix(2789,7626,1020,2789) (-93/34,-41/15) -> (41/15,93/34) Hyperbolic Matrix(1861,5084,772,2109) (-41/15,-71/26) -> (53/22,41/17) Hyperbolic Matrix(683,1860,524,1427) (-30/11,-49/18) -> (13/10,30/23) Hyperbolic Matrix(433,1178,68,185) (-49/18,-19/7) -> (19/3,13/2) Hyperbolic Matrix(435,1178,298,807) (-19/7,-46/17) -> (16/11,19/13) Hyperbolic Matrix(619,1674,504,1363) (-46/17,-27/10) -> (27/22,16/13) Hyperbolic Matrix(185,496,-116,-311) (-27/10,-8/3) -> (-8/5,-35/22) Hyperbolic Matrix(187,496,164,435) (-8/3,-45/17) -> (17/15,8/7) Hyperbolic Matrix(867,2294,562,1487) (-45/17,-37/14) -> (37/24,17/11) Hyperbolic Matrix(681,1798,164,433) (-37/14,-66/25) -> (4/1,25/6) Hyperbolic Matrix(3101,8184,-1926,-5083) (-66/25,-29/11) -> (-95/59,-66/41) Hyperbolic Matrix(683,1798,-400,-1053) (-29/11,-21/8) -> (-41/24,-29/17) Hyperbolic Matrix(2791,7316,-2152,-5641) (-21/8,-76/29) -> (-48/37,-83/64) Hyperbolic Matrix(5395,14136,-3336,-8741) (-76/29,-55/21) -> (-131/81,-76/47) Hyperbolic Matrix(805,2108,118,309) (-55/21,-89/34) -> (27/4,7/1) Hyperbolic Matrix(6325,16554,1706,4465) (-89/34,-123/47) -> (63/17,89/24) Hyperbolic Matrix(2109,5518,1280,3349) (-123/47,-34/13) -> (28/17,61/37) Hyperbolic Matrix(807,2108,214,559) (-34/13,-47/18) -> (15/4,34/9) Hyperbolic Matrix(309,806,166,433) (-47/18,-13/5) -> (13/7,15/8) Hyperbolic Matrix(311,806,120,311) (-13/5,-31/12) -> (31/12,13/5) Hyperbolic Matrix(433,1116,168,433) (-31/12,-18/7) -> (18/7,31/12) Hyperbolic Matrix(869,2232,628,1613) (-18/7,-59/23) -> (65/47,18/13) Hyperbolic Matrix(1983,5084,580,1487) (-59/23,-41/16) -> (41/12,65/19) Hyperbolic Matrix(3099,7936,-1792,-4589) (-41/16,-64/25) -> (-64/37,-83/48) Hyperbolic Matrix(1115,2852,242,619) (-64/25,-23/9) -> (23/5,60/13) Hyperbolic Matrix(1117,2852,826,2109) (-23/9,-74/29) -> (50/37,23/17) Hyperbolic Matrix(559,1426,-510,-1301) (-74/29,-51/20) -> (-11/10,-12/11) Hyperbolic Matrix(2169,5518,1340,3409) (-28/11,-61/24) -> (123/76,34/21) Hyperbolic Matrix(2417,6138,-1392,-3535) (-61/24,-33/13) -> (-33/19,-125/72) Hyperbolic Matrix(123,310,98,247) (-33/13,-5/2) -> (5/4,29/23) Hyperbolic Matrix(805,1984,226,557) (-5/2,-32/13) -> (32/9,57/16) Hyperbolic Matrix(2975,7316,1714,4215) (-32/13,-59/24) -> (59/34,92/53) Hyperbolic Matrix(1363,3348,252,619) (-59/24,-27/11) -> (27/5,65/12) Hyperbolic Matrix(557,1364,430,1053) (-27/11,-22/9) -> (22/17,35/27) Hyperbolic Matrix(1117,2728,762,1861) (-22/9,-83/34) -> (41/28,22/15) Hyperbolic Matrix(4649,11346,-3430,-8371) (-83/34,-61/25) -> (-61/45,-103/76) Hyperbolic Matrix(5083,12400,1372,3347) (-61/25,-100/41) -> (100/27,63/17) Hyperbolic Matrix(1551,3782,1348,3287) (-100/41,-39/16) -> (23/20,38/33) Hyperbolic Matrix(433,1054,76,185) (-39/16,-17/7) -> (17/3,23/4) Hyperbolic Matrix(869,2108,256,621) (-17/7,-63/26) -> (61/18,17/5) Hyperbolic Matrix(6757,16368,1868,4525) (-63/26,-109/45) -> (47/13,123/34) Hyperbolic Matrix(13951,33790,5760,13951) (-109/45,-155/64) -> (155/64,109/45) Hyperbolic Matrix(5889,14260,2432,5889) (-155/64,-46/19) -> (46/19,155/64) Hyperbolic Matrix(743,1798,512,1239) (-46/19,-29/12) -> (29/20,16/11) Hyperbolic Matrix(745,1798,-462,-1115) (-29/12,-12/5) -> (-50/31,-29/18) Hyperbolic Matrix(311,744,130,311) (-12/5,-31/13) -> (31/13,12/5) Hyperbolic Matrix(495,1178,208,495) (-31/13,-19/8) -> (19/8,31/13) Hyperbolic Matrix(3347,7936,-2040,-4837) (-19/8,-64/27) -> (-64/39,-105/64) Hyperbolic Matrix(497,1178,262,621) (-64/27,-45/19) -> (17/9,2/1) Hyperbolic Matrix(681,1612,602,1425) (-45/19,-71/30) -> (9/8,17/15) Hyperbolic Matrix(3721,8804,-2620,-6199) (-71/30,-26/11) -> (-98/69,-71/50) Hyperbolic Matrix(1549,3658,1076,2541) (-26/11,-59/25) -> (59/41,36/25) Hyperbolic Matrix(3101,7316,1840,4341) (-59/25,-92/39) -> (32/19,59/35) Hyperbolic Matrix(2603,6138,-1578,-3721) (-92/39,-33/14) -> (-33/20,-94/57) Hyperbolic Matrix(185,434,26,61) (-40/17,-7/3) -> (7/1,22/3) Hyperbolic Matrix(187,434,134,311) (-7/3,-30/13) -> (32/23,7/5) Hyperbolic Matrix(619,1426,484,1115) (-30/13,-23/10) -> (23/18,32/25) Hyperbolic Matrix(433,992,-244,-559) (-23/10,-16/7) -> (-16/9,-39/22) Hyperbolic Matrix(435,992,82,187) (-16/7,-41/18) -> (21/4,16/3) Hyperbolic Matrix(681,1550,-518,-1179) (-41/18,-25/11) -> (-25/19,-21/16) Hyperbolic Matrix(683,1550,-464,-1053) (-25/11,-59/26) -> (-3/2,-25/17) Hyperbolic Matrix(4837,10974,2132,4837) (-59/26,-93/41) -> (93/41,59/26) Hyperbolic Matrix(2789,6324,1230,2789) (-93/41,-34/15) -> (34/15,93/41) Hyperbolic Matrix(247,558,-220,-497) (-43/19,-9/4) -> (-9/8,-19/17) Hyperbolic Matrix(1551,3472,1136,2543) (-9/4,-47/21) -> (15/11,71/52) Hyperbolic Matrix(1053,2356,914,2045) (-47/21,-38/17) -> (38/33,15/13) Hyperbolic Matrix(805,1798,638,1425) (-38/17,-29/13) -> (29/23,24/19) Hyperbolic Matrix(559,1240,252,559) (-20/9,-31/14) -> (31/14,20/9) Hyperbolic Matrix(309,682,140,309) (-31/14,-11/5) -> (11/5,31/14) Hyperbolic Matrix(311,682,-254,-557) (-11/5,-24/11) -> (-38/31,-11/9) Hyperbolic Matrix(2107,4588,-1538,-3349) (-24/11,-37/17) -> (-37/27,-100/73) Hyperbolic Matrix(2851,6200,-1540,-3349) (-37/17,-50/23) -> (-50/27,-87/47) Hyperbolic Matrix(743,1612,-572,-1241) (-50/23,-13/6) -> (-13/10,-74/57) Hyperbolic Matrix(373,806,230,497) (-13/6,-15/7) -> (47/29,13/8) Hyperbolic Matrix(495,1054,116,247) (-15/7,-17/8) -> (17/4,47/11) Hyperbolic Matrix(557,1178,322,681) (-17/8,-2/1) -> (64/37,45/26) Hyperbolic Matrix(621,1178,262,497) (-2/1,-17/9) -> (45/19,64/27) Hyperbolic Matrix(559,1054,428,807) (-17/9,-15/8) -> (47/36,17/13) Hyperbolic Matrix(433,806,166,309) (-15/8,-13/7) -> (13/5,47/18) Hyperbolic Matrix(435,806,34,63) (-63/34,-50/27) -> (12/1,1/0) Hyperbolic Matrix(8307,15376,3818,7067) (-87/47,-124/67) -> (124/57,37/17) Hyperbolic Matrix(8309,15376,3820,7069) (-124/67,-37/20) -> (87/40,124/57) Hyperbolic Matrix(2045,3782,-1308,-2419) (-37/20,-24/13) -> (-86/55,-25/16) Hyperbolic Matrix(1613,2976,-1142,-2107) (-24/13,-35/19) -> (-89/63,-24/17) Hyperbolic Matrix(373,682,204,373) (-11/6,-31/17) -> (31/17,11/6) Hyperbolic Matrix(681,1240,374,681) (-31/17,-20/11) -> (20/11,31/17) Hyperbolic Matrix(683,1240,-580,-1053) (-20/11,-29/16) -> (-33/28,-20/17) Hyperbolic Matrix(993,1798,206,373) (-29/16,-38/21) -> (24/5,29/6) Hyperbolic Matrix(1303,2356,172,311) (-38/21,-47/26) -> (15/2,38/5) Hyperbolic Matrix(1921,3472,514,929) (-47/26,-9/5) -> (71/19,15/4) Hyperbolic Matrix(1177,2108,-866,-1551) (-9/5,-34/19) -> (-34/25,-53/39) Hyperbolic Matrix(3535,6324,1976,3535) (-34/19,-93/52) -> (93/52,34/19) Hyperbolic Matrix(6137,10974,3432,6137) (-93/52,-59/33) -> (59/33,93/52) Hyperbolic Matrix(2915,5208,2048,3659) (-84/47,-25/14) -> (37/26,84/59) Hyperbolic Matrix(2293,4092,868,1549) (-25/14,-66/37) -> (66/25,37/14) Hyperbolic Matrix(557,992,452,805) (-41/23,-16/9) -> (16/13,21/17) Hyperbolic Matrix(2169,3844,944,1673) (-39/22,-62/35) -> (62/27,23/10) Hyperbolic Matrix(2171,3844,946,1675) (-62/35,-23/13) -> (39/17,62/27) Hyperbolic Matrix(807,1426,176,311) (-23/13,-30/17) -> (32/7,23/5) Hyperbolic Matrix(247,434,70,123) (-30/17,-7/4) -> (7/2,32/9) Hyperbolic Matrix(1427,2480,-1034,-1797) (-7/4,-33/19) -> (-29/21,-69/50) Hyperbolic Matrix(18785,32612,7392,12833) (-125/72,-217/125) -> (155/61,61/24) Hyperbolic Matrix(19965,34658,7858,13641) (-217/125,-92/53) -> (94/37,155/61) Hyperbolic Matrix(4215,7316,1714,2975) (-92/53,-59/34) -> (59/24,32/13) Hyperbolic Matrix(2109,3658,644,1117) (-59/34,-26/15) -> (36/11,59/18) Hyperbolic Matrix(2791,4836,752,1303) (-26/15,-97/56) -> (89/24,26/7) Hyperbolic Matrix(931,1612,108,187) (-71/41,-45/26) -> (17/2,9/1) Hyperbolic Matrix(681,1178,322,557) (-45/26,-64/37) -> (2/1,17/8) Hyperbolic Matrix(1363,2356,932,1611) (-83/48,-19/11) -> (19/13,41/28) Hyperbolic Matrix(683,1178,396,683) (-19/11,-31/18) -> (31/18,19/11) Hyperbolic Matrix(433,744,252,433) (-31/18,-12/7) -> (12/7,31/18) Hyperbolic Matrix(4711,8060,1304,2231) (-12/7,-65/38) -> (65/18,112/31) Hyperbolic Matrix(14755,25234,-10804,-18477) (-65/38,-118/69) -> (-56/41,-183/134) Hyperbolic Matrix(2975,5084,1886,3223) (-53/31,-41/24) -> (41/26,71/45) Hyperbolic Matrix(1055,1798,328,559) (-29/17,-46/27) -> (16/5,29/9) Hyperbolic Matrix(8371,14260,4914,8371) (-46/27,-155/91) -> (155/91,46/27) Hyperbolic Matrix(19839,33790,11648,19839) (-155/91,-109/64) -> (109/64,155/91) Hyperbolic Matrix(5643,9610,1202,2047) (-109/64,-63/37) -> (61/13,47/10) Hyperbolic Matrix(1239,2108,874,1487) (-63/37,-17/10) -> (17/12,61/43) Hyperbolic Matrix(621,1054,512,869) (-17/10,-39/23) -> (23/19,17/14) Hyperbolic Matrix(2231,3782,292,495) (-39/23,-100/59) -> (38/5,23/3) Hyperbolic Matrix(6695,11346,2414,4091) (-100/59,-61/36) -> (61/22,86/31) Hyperbolic Matrix(8929,15128,-6440,-10911) (-61/36,-83/49) -> (-165/119,-61/44) Hyperbolic Matrix(1611,2728,512,867) (-83/49,-22/13) -> (22/7,41/13) Hyperbolic Matrix(807,1364,184,311) (-22/13,-27/16) -> (35/8,22/5) Hyperbolic Matrix(4155,7006,1214,2047) (-27/16,-59/35) -> (65/19,89/26) Hyperbolic Matrix(4341,7316,1840,3101) (-59/35,-32/19) -> (92/39,59/25) Hyperbolic Matrix(1179,1984,848,1427) (-32/19,-5/3) -> (57/41,32/23) Hyperbolic Matrix(187,310,38,63) (-5/3,-33/20) -> (29/6,5/1) Hyperbolic Matrix(21017,34658,8910,14693) (-94/57,-155/94) -> (217/92,92/39) Hyperbolic Matrix(19779,32612,8386,13827) (-155/94,-61/37) -> (125/53,217/92) Hyperbolic Matrix(3349,5518,1280,2109) (-61/37,-28/17) -> (34/13,123/47) Hyperbolic Matrix(1055,1736,-866,-1425) (-28/17,-23/14) -> (-39/32,-28/23) Hyperbolic Matrix(2417,3968,868,1425) (-23/14,-64/39) -> (64/23,39/14) Hyperbolic Matrix(3099,5084,982,1611) (-105/64,-41/25) -> (41/13,19/6) Hyperbolic Matrix(3101,5084,2194,3597) (-41/25,-59/36) -> (65/46,41/29) Hyperbolic Matrix(1363,2232,378,619) (-59/36,-18/11) -> (18/5,65/18) Hyperbolic Matrix(683,1116,418,683) (-18/11,-31/19) -> (31/19,18/11) Hyperbolic Matrix(495,806,304,495) (-31/19,-13/8) -> (13/8,31/19) Hyperbolic Matrix(497,806,230,373) (-13/8,-47/29) -> (15/7,13/6) Hyperbolic Matrix(1301,2108,956,1549) (-47/29,-34/21) -> (34/25,15/11) Hyperbolic Matrix(3409,5518,1340,2169) (-34/21,-123/76) -> (61/24,28/11) Hyperbolic Matrix(10727,17360,3870,6263) (-123/76,-89/55) -> (97/35,61/22) Hyperbolic Matrix(1303,2108,1112,1799) (-89/55,-55/34) -> (7/6,27/23) Hyperbolic Matrix(21389,34596,8164,13205) (-55/34,-186/115) -> (186/71,131/50) Hyperbolic Matrix(21391,34596,8166,13207) (-186/115,-131/81) -> (55/21,186/71) Hyperbolic Matrix(3721,6014,998,1613) (-97/60,-21/13) -> (41/11,97/26) Hyperbolic Matrix(1921,3100,422,681) (-21/13,-71/44) -> (9/2,41/9) Hyperbolic Matrix(10913,17608,-7992,-12895) (-71/44,-121/75) -> (-127/93,-71/52) Hyperbolic Matrix(10415,16802,7532,12151) (-121/75,-50/31) -> (112/81,65/47) Hyperbolic Matrix(9547,15376,3618,5827) (-29/18,-124/77) -> (124/47,95/36) Hyperbolic Matrix(9549,15376,3620,5829) (-124/77,-95/59) -> (29/11,124/47) Hyperbolic Matrix(2543,4092,1118,1799) (-66/41,-37/23) -> (25/11,66/29) Hyperbolic Matrix(1427,2294,502,807) (-37/23,-45/28) -> (17/6,37/13) Hyperbolic Matrix(309,496,38,61) (-45/28,-8/5) -> (8/1,17/2) Hyperbolic Matrix(2417,3844,896,1425) (-35/22,-62/39) -> (62/23,27/10) Hyperbolic Matrix(2419,3844,898,1427) (-62/39,-27/17) -> (35/13,62/23) Hyperbolic Matrix(1055,1674,196,311) (-27/17,-46/29) -> (16/3,27/5) Hyperbolic Matrix(743,1178,234,371) (-46/29,-19/12) -> (19/6,16/5) Hyperbolic Matrix(745,1178,628,993) (-19/12,-49/31) -> (13/11,19/16) Hyperbolic Matrix(1177,1860,274,433) (-49/31,-30/19) -> (30/7,13/3) Hyperbolic Matrix(1611,2542,-1258,-1985) (-30/19,-41/26) -> (-41/32,-32/25) Hyperbolic Matrix(4837,7626,3068,4837) (-41/26,-93/59) -> (93/59,41/26) Hyperbolic Matrix(6137,9672,3894,6137) (-93/59,-52/33) -> (52/33,93/59) Hyperbolic Matrix(867,1364,-710,-1117) (-63/40,-11/7) -> (-11/9,-61/50) Hyperbolic Matrix(6697,10478,1982,3101) (-36/23,-97/62) -> (27/8,98/29) Hyperbolic Matrix(11097,17360,4240,6633) (-97/62,-61/39) -> (123/47,89/34) Hyperbolic Matrix(7255,11346,2974,4651) (-61/39,-86/55) -> (100/41,61/25) Hyperbolic Matrix(2541,3968,1786,2789) (-25/16,-64/41) -> (64/45,37/26) Hyperbolic Matrix(2543,3968,994,1551) (-64/41,-39/25) -> (23/9,64/25) Hyperbolic Matrix(559,868,360,559) (-14/9,-31/20) -> (31/20,14/9) Hyperbolic Matrix(681,1054,440,681) (-31/20,-17/11) -> (17/11,31/20) Hyperbolic Matrix(1487,2294,562,867) (-17/11,-37/24) -> (37/14,45/17) Hyperbolic Matrix(2293,3534,-1650,-2543) (-37/24,-20/13) -> (-82/59,-25/18) Hyperbolic Matrix(929,1426,686,1053) (-20/13,-23/15) -> (23/17,42/31) Hyperbolic Matrix(931,1426,284,435) (-23/15,-3/2) -> (59/18,23/7) Hyperbolic Matrix(929,1364,126,185) (-25/17,-22/15) -> (22/3,37/5) Hyperbolic Matrix(1861,2728,762,1117) (-22/15,-41/28) -> (83/34,22/9) Hyperbolic Matrix(3473,5084,1356,1985) (-41/28,-19/13) -> (105/41,41/16) Hyperbolic Matrix(807,1178,298,435) (-19/13,-16/11) -> (46/17,19/7) Hyperbolic Matrix(1239,1798,512,743) (-16/11,-29/20) -> (29/12,46/19) Hyperbolic Matrix(557,806,-472,-683) (-29/20,-13/9) -> (-13/11,-33/28) Hyperbolic Matrix(2665,3844,816,1177) (-13/9,-62/43) -> (62/19,49/15) Hyperbolic Matrix(2667,3844,818,1179) (-62/43,-49/34) -> (13/4,62/19) Hyperbolic Matrix(2541,3658,1076,1549) (-36/25,-59/41) -> (59/25,26/11) Hyperbolic Matrix(991,1426,344,495) (-59/41,-23/16) -> (23/8,3/1) Hyperbolic Matrix(7255,10416,1944,2791) (-56/39,-89/62) -> (97/26,56/15) Hyperbolic Matrix(6263,8990,1858,2667) (-89/62,-33/23) -> (91/27,27/8) Hyperbolic Matrix(2293,3286,-1688,-2419) (-43/30,-10/7) -> (-72/53,-19/14) Hyperbolic Matrix(10787,15376,3218,4587) (-67/47,-124/87) -> (124/37,57/17) Hyperbolic Matrix(10789,15376,3220,4589) (-124/87,-57/40) -> (67/20,124/37) Hyperbolic Matrix(1611,2294,-1394,-1985) (-47/33,-37/26) -> (-37/32,-15/13) Hyperbolic Matrix(3225,4588,698,993) (-37/26,-64/45) -> (60/13,37/8) Hyperbolic Matrix(13951,19840,9810,13951) (-64/45,-155/109) -> (155/109,64/45) Hyperbolic Matrix(19839,28210,13952,19839) (-155/109,-91/64) -> (91/64,155/109) Hyperbolic Matrix(6323,8990,1918,2727) (-91/64,-27/19) -> (89/27,33/10) Hyperbolic Matrix(7377,10478,2662,3781) (-27/19,-98/69) -> (36/13,97/35) Hyperbolic Matrix(24365,34596,7204,10229) (-71/50,-186/131) -> (186/55,115/34) Hyperbolic Matrix(24367,34596,7206,10231) (-186/131,-115/81) -> (71/21,186/55) Hyperbolic Matrix(2665,3782,742,1053) (-44/31,-61/43) -> (61/17,18/5) Hyperbolic Matrix(1487,2108,874,1239) (-61/43,-17/12) -> (17/10,63/37) Hyperbolic Matrix(745,1054,176,249) (-17/12,-41/29) -> (21/5,17/4) Hyperbolic Matrix(3597,5084,2194,3101) (-41/29,-65/46) -> (59/36,41/25) Hyperbolic Matrix(4959,7006,2018,2851) (-65/46,-89/63) -> (27/11,59/24) Hyperbolic Matrix(1055,1488,748,1055) (-24/17,-31/22) -> (31/22,24/17) Hyperbolic Matrix(309,434,220,309) (-31/22,-7/5) -> (7/5,31/22) Hyperbolic Matrix(311,434,134,187) (-7/5,-32/23) -> (30/13,7/3) Hyperbolic Matrix(1427,1984,848,1179) (-32/23,-57/41) -> (5/3,32/19) Hyperbolic Matrix(4773,6634,-4060,-5643) (-57/41,-82/59) -> (-20/17,-67/57) Hyperbolic Matrix(2233,3100,358,497) (-25/18,-93/67) -> (31/5,25/4) Hyperbolic Matrix(1921,2666,312,433) (-93/67,-68/49) -> (6/1,31/5) Hyperbolic Matrix(15873,22010,-11714,-16243) (-104/75,-165/119) -> (-145/107,-42/31) Hyperbolic Matrix(2729,3782,806,1117) (-61/44,-18/13) -> (44/13,61/18) Hyperbolic Matrix(1613,2232,628,869) (-18/13,-65/47) -> (59/23,18/7) Hyperbolic Matrix(5829,8060,2422,3349) (-65/47,-112/81) -> (12/5,65/27) Hyperbolic Matrix(6323,8742,-5382,-7441) (-112/81,-47/34) -> (-47/40,-74/63) Hyperbolic Matrix(11843,16368,6954,9611) (-47/34,-123/89) -> (63/37,109/64) Hyperbolic Matrix(7627,10540,5878,8123) (-123/89,-76/55) -> (48/37,61/47) Hyperbolic Matrix(1303,1798,1124,1551) (-69/50,-40/29) -> (22/19,7/6) Hyperbolic Matrix(2789,3844,764,1053) (-51/37,-62/45) -> (62/17,11/3) Hyperbolic Matrix(2791,3844,766,1055) (-62/45,-11/8) -> (51/14,62/17) Hyperbolic Matrix(9053,12400,5342,7317) (-100/73,-63/46) -> (61/36,100/59) Hyperbolic Matrix(12089,16554,7470,10229) (-63/46,-89/65) -> (89/55,123/76) Hyperbolic Matrix(3533,4836,1494,2045) (-89/65,-26/19) -> (26/11,97/41) Hyperbolic Matrix(2357,3224,454,621) (-26/19,-93/68) -> (31/6,26/5) Hyperbolic Matrix(1859,2542,362,495) (-93/68,-67/49) -> (5/1,31/6) Hyperbolic Matrix(4401,6014,1678,2293) (-41/30,-97/71) -> (97/37,21/8) Hyperbolic Matrix(7625,10416,2314,3161) (-97/71,-56/41) -> (56/17,89/27) Hyperbolic Matrix(70369,96100,18840,25729) (-183/134,-310/227) -> (310/83,127/34) Hyperbolic Matrix(70371,96100,18842,25731) (-310/227,-127/93) -> (183/49,310/83) Hyperbolic Matrix(2543,3472,1136,1551) (-71/52,-15/11) -> (47/21,9/4) Hyperbolic Matrix(1549,2108,956,1301) (-15/11,-34/25) -> (34/21,47/29) Hyperbolic Matrix(45383,61504,11894,16119) (-103/76,-248/183) -> (248/65,145/38) Hyperbolic Matrix(45385,61504,11896,16121) (-248/183,-145/107) -> (103/27,248/65) Hyperbolic Matrix(1053,1426,686,929) (-42/31,-23/17) -> (23/15,20/13) Hyperbolic Matrix(2293,3100,412,557) (-23/17,-50/37) -> (50/9,39/7) Hyperbolic Matrix(1241,1674,920,1241) (-27/20,-31/23) -> (31/23,27/20) Hyperbolic Matrix(185,248,138,185) (-31/23,-4/3) -> (4/3,31/23) Hyperbolic Matrix(1365,1798,848,1117) (-4/3,-25/19) -> (37/23,66/41) Hyperbolic Matrix(805,1054,236,309) (-21/16,-17/13) -> (17/5,41/12) Hyperbolic Matrix(807,1054,428,559) (-17/13,-47/36) -> (15/8,17/9) Hyperbolic Matrix(11779,15376,2754,3595) (-47/36,-124/95) -> (124/29,77/18) Hyperbolic Matrix(11781,15376,2756,3597) (-124/95,-77/59) -> (47/11,124/29) Hyperbolic Matrix(1427,1860,524,683) (-30/23,-13/10) -> (49/18,30/11) Hyperbolic Matrix(5827,7564,1050,1363) (-74/57,-61/47) -> (61/11,50/9) Hyperbolic Matrix(2915,3782,622,807) (-61/47,-48/37) -> (14/3,61/13) Hyperbolic Matrix(7315,9486,5354,6943) (-83/64,-35/27) -> (97/71,41/30) Hyperbolic Matrix(1053,1364,430,557) (-35/27,-22/17) -> (22/9,27/11) Hyperbolic Matrix(1055,1364,816,1055) (-22/17,-31/24) -> (31/24,22/17) Hyperbolic Matrix(433,558,336,433) (-31/24,-9/7) -> (9/7,31/24) Hyperbolic Matrix(2419,3100,920,1179) (-9/7,-41/32) -> (21/8,71/27) Hyperbolic Matrix(1115,1426,484,619) (-32/25,-23/18) -> (23/10,30/13) Hyperbolic Matrix(2233,2852,1360,1737) (-23/18,-60/47) -> (64/39,23/14) Hyperbolic Matrix(3595,4588,1068,1363) (-60/47,-37/29) -> (37/11,64/19) Hyperbolic Matrix(2975,3782,682,867) (-14/11,-61/48) -> (61/14,48/11) Hyperbolic Matrix(7563,9610,3122,3967) (-61/48,-47/37) -> (109/45,63/26) Hyperbolic Matrix(929,1178,-832,-1055) (-52/41,-19/15) -> (-19/17,-10/9) Hyperbolic Matrix(3037,3844,636,805) (-19/15,-62/49) -> (62/13,43/9) Hyperbolic Matrix(3039,3844,638,807) (-62/49,-43/34) -> (19/4,62/13) Hyperbolic Matrix(1425,1798,638,805) (-24/19,-29/23) -> (29/13,38/17) Hyperbolic Matrix(247,310,98,123) (-29/23,-5/4) -> (5/2,33/13) Hyperbolic Matrix(2047,2542,550,683) (-5/4,-31/25) -> (93/25,67/18) Hyperbolic Matrix(2603,3224,700,867) (-31/25,-26/21) -> (26/7,93/25) Hyperbolic Matrix(805,992,452,557) (-21/17,-16/13) -> (16/9,41/23) Hyperbolic Matrix(1363,1674,504,619) (-16/13,-27/22) -> (27/10,46/17) Hyperbolic Matrix(2729,3348,1618,1985) (-27/22,-65/53) -> (59/35,27/16) Hyperbolic Matrix(6201,7564,1424,1737) (-61/50,-50/41) -> (74/17,61/14) Hyperbolic Matrix(2543,3100,662,807) (-50/41,-39/32) -> (23/6,50/13) Hyperbolic Matrix(3161,3844,560,681) (-45/37,-62/51) -> (62/11,17/3) Hyperbolic Matrix(3163,3844,562,683) (-62/51,-17/14) -> (45/8,62/11) Hyperbolic Matrix(869,1054,512,621) (-17/14,-23/19) -> (39/23,17/10) Hyperbolic Matrix(3287,3968,2312,2791) (-29/24,-35/29) -> (27/19,91/64) Hyperbolic Matrix(2109,2542,1544,1861) (-35/29,-6/5) -> (56/41,97/71) Hyperbolic Matrix(2233,2666,624,745) (-6/5,-31/26) -> (93/26,68/19) Hyperbolic Matrix(2603,3100,728,867) (-31/26,-25/21) -> (25/7,93/26) Hyperbolic Matrix(993,1178,628,745) (-19/16,-13/11) -> (49/31,19/12) Hyperbolic Matrix(1799,2108,1112,1303) (-27/23,-7/6) -> (55/34,89/55) Hyperbolic Matrix(373,434,214,249) (-7/6,-22/19) -> (40/23,7/4) Hyperbolic Matrix(1179,1364,376,435) (-22/19,-37/32) -> (25/8,22/7) Hyperbolic Matrix(2045,2356,914,1053) (-15/13,-38/33) -> (38/17,47/21) Hyperbolic Matrix(3287,3782,1348,1551) (-38/33,-23/20) -> (39/16,100/41) Hyperbolic Matrix(1241,1426,1080,1241) (-23/20,-31/27) -> (31/27,23/20) Hyperbolic Matrix(433,496,378,433) (-31/27,-8/7) -> (8/7,31/27) Hyperbolic Matrix(435,496,164,187) (-8/7,-17/15) -> (45/17,8/3) Hyperbolic Matrix(1425,1612,602,681) (-17/15,-9/8) -> (71/30,45/19) Hyperbolic Matrix(743,806,342,371) (-12/11,-1/1) -> (63/29,50/23) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(619,-682,226,-249) (1/1,10/9) -> (52/19,63/23) Hyperbolic Matrix(1053,-1178,278,-311) (10/9,9/8) -> (53/14,72/19) Hyperbolic Matrix(1985,-2294,1394,-1611) (15/13,22/19) -> (84/59,47/33) Hyperbolic Matrix(2851,-3348,740,-869) (27/23,47/40) -> (77/20,27/7) Hyperbolic Matrix(4959,-5828,1478,-1737) (47/40,20/17) -> (104/31,47/14) Hyperbolic Matrix(1053,-1240,580,-683) (20/17,13/11) -> (49/27,20/11) Hyperbolic Matrix(1303,-1550,364,-433) (19/16,6/5) -> (68/19,43/12) Hyperbolic Matrix(1179,-1426,358,-433) (6/5,23/19) -> (23/7,56/17) Hyperbolic Matrix(1427,-1736,254,-309) (17/14,28/23) -> (28/5,45/8) Hyperbolic Matrix(1425,-1736,866,-1055) (28/23,11/9) -> (51/31,28/17) Hyperbolic Matrix(557,-682,254,-311) (11/9,27/22) -> (35/16,11/5) Hyperbolic Matrix(1303,-1612,350,-433) (21/17,5/4) -> (67/18,41/11) Hyperbolic Matrix(1177,-1488,246,-311) (24/19,19/15) -> (43/9,24/5) Hyperbolic Matrix(1613,-2046,488,-619) (19/15,33/26) -> (33/10,43/13) Hyperbolic Matrix(2295,-2914,634,-805) (33/26,14/11) -> (76/21,29/8) Hyperbolic Matrix(681,-868,244,-311) (14/11,23/18) -> (39/14,14/5) Hyperbolic Matrix(1985,-2542,1258,-1611) (32/25,9/7) -> (71/45,30/19) Hyperbolic Matrix(5641,-7316,2152,-2791) (35/27,48/37) -> (76/29,97/37) Hyperbolic Matrix(1241,-1612,572,-743) (61/47,13/10) -> (13/6,63/29) Hyperbolic Matrix(2851,-3720,666,-869) (30/23,47/36) -> (77/18,30/7) Hyperbolic Matrix(1179,-1550,518,-681) (21/16,4/3) -> (66/29,41/18) Hyperbolic Matrix(2479,-3348,368,-497) (27/20,50/37) -> (74/11,27/4) Hyperbolic Matrix(2789,-3782,778,-1055) (42/31,19/14) -> (43/12,104/29) Hyperbolic Matrix(1551,-2108,866,-1177) (19/14,34/25) -> (34/19,43/24) Hyperbolic Matrix(8309,-11346,3450,-4711) (71/52,56/41) -> (118/49,53/22) Hyperbolic Matrix(1179,-1612,226,-309) (41/30,26/19) -> (26/5,21/4) Hyperbolic Matrix(497,-682,180,-247) (26/19,11/8) -> (11/4,36/13) Hyperbolic Matrix(1799,-2480,494,-681) (11/8,40/29) -> (40/11,51/14) Hyperbolic Matrix(1797,-2480,1034,-1427) (40/29,29/21) -> (33/19,40/23) Hyperbolic Matrix(2109,-2914,448,-619) (29/21,47/34) -> (47/10,33/7) Hyperbolic Matrix(7937,-10974,2062,-2851) (47/34,112/81) -> (50/13,77/20) Hyperbolic Matrix(2727,-3782,716,-993) (61/44,43/31) -> (19/5,61/16) Hyperbolic Matrix(1117,-1550,178,-247) (43/31,25/18) -> (25/4,19/3) Hyperbolic Matrix(2543,-3534,1650,-2293) (25/18,57/41) -> (57/37,37/24) Hyperbolic Matrix(2853,-4030,526,-743) (24/17,65/46) -> (65/12,38/7) Hyperbolic Matrix(5765,-8184,1704,-2419) (44/31,71/50) -> (115/34,44/13) Hyperbolic Matrix(6199,-8804,2620,-3721) (71/50,27/19) -> (97/41,71/30) Hyperbolic Matrix(4091,-5828,610,-869) (47/33,57/40) -> (67/10,47/7) Hyperbolic Matrix(869,-1240,260,-371) (57/40,10/7) -> (10/3,67/20) Hyperbolic Matrix(1427,-2046,302,-433) (10/7,33/23) -> (33/7,52/11) Hyperbolic Matrix(993,-1426,172,-247) (33/23,23/16) -> (23/4,29/5) Hyperbolic Matrix(1549,-2232,474,-683) (36/25,13/9) -> (49/15,36/11) Hyperbolic Matrix(1241,-1798,684,-991) (13/9,29/20) -> (29/16,49/27) Hyperbolic Matrix(1053,-1550,464,-683) (22/15,3/2) -> (59/26,84/37) Hyperbolic Matrix(4589,-7068,1368,-2107) (20/13,57/37) -> (57/17,104/31) Hyperbolic Matrix(557,-868,120,-187) (14/9,25/16) -> (37/8,14/3) Hyperbolic Matrix(435,-682,118,-185) (25/16,11/7) -> (11/3,37/10) Hyperbolic Matrix(433,-682,40,-63) (11/7,52/33) -> (10/1,11/1) Hyperbolic Matrix(311,-496,116,-185) (27/17,8/5) -> (8/3,35/13) Hyperbolic Matrix(5083,-8184,1926,-3101) (66/41,29/18) -> (95/36,66/25) Hyperbolic Matrix(1115,-1798,462,-745) (29/18,21/13) -> (41/17,29/12) Hyperbolic Matrix(4525,-7316,1036,-1675) (21/13,76/47) -> (48/11,83/19) Hyperbolic Matrix(8741,-14136,3336,-5395) (76/47,55/34) -> (131/50,76/29) Hyperbolic Matrix(4837,-7936,2040,-3347) (41/25,64/39) -> (64/27,83/35) Hyperbolic Matrix(867,-1426,76,-125) (74/45,51/31) -> (11/1,12/1) Hyperbolic Matrix(3721,-6138,1578,-2603) (61/37,33/20) -> (33/14,125/53) Hyperbolic Matrix(6697,-11346,1756,-2975) (83/49,61/36) -> (61/16,103/27) Hyperbolic Matrix(1053,-1798,400,-683) (29/17,12/7) -> (50/19,29/11) Hyperbolic Matrix(4589,-7936,1792,-3099) (19/11,64/37) -> (64/25,105/41) Hyperbolic Matrix(5083,-8804,1504,-2605) (71/41,26/15) -> (98/29,71/21) Hyperbolic Matrix(3535,-6138,1392,-2417) (92/53,33/19) -> (33/13,94/37) Hyperbolic Matrix(559,-992,244,-433) (23/13,16/9) -> (16/7,39/17) Hyperbolic Matrix(869,-1550,208,-371) (41/23,25/14) -> (25/6,21/5) Hyperbolic Matrix(867,-1550,278,-497) (25/14,59/33) -> (3/1,25/8) Hyperbolic Matrix(311,-558,34,-61) (43/24,9/5) -> (9/1,19/2) Hyperbolic Matrix(371,-682,68,-125) (11/6,24/13) -> (38/7,11/2) Hyperbolic Matrix(2481,-4588,670,-1239) (24/13,37/20) -> (37/10,100/27) Hyperbolic Matrix(3349,-6200,1540,-2851) (37/20,50/27) -> (50/23,87/40) Hyperbolic Matrix(869,-1612,200,-371) (50/27,13/7) -> (13/3,74/17) Hyperbolic Matrix(1737,-3782,626,-1363) (37/17,24/11) -> (86/31,25/9) Hyperbolic Matrix(1363,-2976,398,-869) (24/11,35/16) -> (89/26,24/7) Hyperbolic Matrix(557,-1240,84,-187) (20/9,29/13) -> (33/5,20/3) Hyperbolic Matrix(931,-2108,246,-557) (9/4,34/15) -> (34/9,53/14) Hyperbolic Matrix(1053,-2480,290,-683) (7/3,33/14) -> (29/8,69/19) Hyperbolic Matrix(10479,-25234,2806,-6757) (65/27,118/49) -> (56/15,183/49) Hyperbolic Matrix(6199,-15128,1728,-4217) (61/25,83/34) -> (165/46,61/17) Hyperbolic Matrix(681,-1736,122,-311) (28/11,23/9) -> (39/7,28/5) Hyperbolic Matrix(6695,-17608,1792,-4713) (71/27,121/46) -> (127/34,71/19) Hyperbolic Matrix(931,-2542,204,-557) (30/11,41/15) -> (41/9,32/7) Hyperbolic Matrix(497,-1364,90,-247) (63/23,11/4) -> (11/2,61/11) Hyperbolic Matrix(1241,-3534,348,-991) (37/13,20/7) -> (82/23,25/7) Hyperbolic Matrix(249,-806,38,-123) (29/9,13/4) -> (13/2,33/5) Hyperbolic Matrix(993,-3286,262,-867) (43/13,10/3) -> (72/19,19/5) Hyperbolic Matrix(683,-2294,92,-309) (47/14,37/11) -> (37/5,15/2) Hyperbolic Matrix(1861,-6634,278,-991) (57/16,82/23) -> (20/3,67/10) Hyperbolic Matrix(6137,-22010,1608,-5767) (104/29,165/46) -> (145/38,42/11) Hyperbolic Matrix(2419,-8742,360,-1301) (112/31,47/13) -> (47/7,74/11) Hyperbolic Matrix(249,-1178,26,-123) (52/11,19/4) -> (19/2,10/1) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(63,682,-40,-433) -> Matrix(1,2,-18,-35) Matrix(125,1178,-92,-867) -> Matrix(1,0,-18,1) Matrix(187,1612,108,931) -> Matrix(1,-2,18,-35) Matrix(61,496,38,309) -> Matrix(3,2,58,39) Matrix(63,496,8,63) -> Matrix(3,2,10,7) Matrix(185,1426,24,185) -> Matrix(13,6,54,25) Matrix(495,3782,292,2231) -> Matrix(9,4,164,73) Matrix(311,2356,172,1303) -> Matrix(7,2,122,35) Matrix(309,2294,-92,-683) -> Matrix(5,2,-38,-15) Matrix(247,1798,68,495) -> Matrix(11,4,96,35) Matrix(309,2108,118,805) -> Matrix(1,-2,12,-23) Matrix(497,3348,-368,-2479) -> Matrix(9,4,-178,-79) Matrix(869,5828,-610,-4091) -> Matrix(1,0,-16,1) Matrix(187,1240,-84,-557) -> Matrix(13,6,-154,-71) Matrix(185,1178,68,433) -> Matrix(7,2,80,23) Matrix(247,1550,-178,-1117) -> Matrix(11,4,-212,-77) Matrix(247,1426,-172,-993) -> Matrix(1,0,-14,1) Matrix(185,1054,76,433) -> Matrix(9,2,112,25) Matrix(309,1736,-254,-1427) -> Matrix(1,-2,-22,45) Matrix(311,1736,-122,-681) -> Matrix(3,2,-32,-21) Matrix(125,682,-68,-371) -> Matrix(13,4,-192,-59) Matrix(311,1674,196,1055) -> Matrix(7,2,122,35) Matrix(187,992,82,435) -> Matrix(7,2,94,27) Matrix(309,1612,-226,-1179) -> Matrix(7,2,-144,-41) Matrix(63,310,38,187) -> Matrix(9,2,166,37) Matrix(373,1798,206,993) -> Matrix(21,4,362,69) Matrix(311,1488,-246,-1177) -> Matrix(13,2,-280,-43) Matrix(433,2046,-302,-1427) -> Matrix(7,2,-130,-37) Matrix(619,2914,-448,-2109) -> Matrix(1,0,-16,1) Matrix(187,868,-120,-557) -> Matrix(9,2,-158,-35) Matrix(311,1426,176,807) -> Matrix(9,2,148,33) Matrix(557,2542,-204,-931) -> Matrix(29,6,-266,-55) Matrix(125,558,28,125) -> Matrix(19,4,128,27) Matrix(309,1364,70,309) -> Matrix(51,10,362,71) Matrix(311,1364,184,807) -> Matrix(11,2,214,39) Matrix(1675,7316,-1036,-4525) -> Matrix(11,2,-160,-29) Matrix(2417,10540,668,2913) -> Matrix(11,2,104,19) Matrix(371,1612,-200,-869) -> Matrix(23,4,-328,-57) Matrix(433,1860,274,1177) -> Matrix(11,2,214,39) Matrix(869,3720,-666,-2851) -> Matrix(21,4,-436,-83) Matrix(247,1054,116,495) -> Matrix(1,0,20,1) Matrix(249,1054,176,745) -> Matrix(1,0,26,1) Matrix(371,1550,-208,-869) -> Matrix(1,0,-10,1) Matrix(63,248,16,63) -> Matrix(11,2,82,15) Matrix(433,1674,112,433) -> Matrix(85,14,686,113) Matrix(869,3348,-740,-2851) -> Matrix(99,16,-2308,-373) Matrix(743,2852,452,1735) -> Matrix(25,4,456,73) Matrix(373,1426,130,497) -> Matrix(25,4,256,41) Matrix(993,3782,-716,-2727) -> Matrix(27,4,-520,-77) Matrix(557,2108,-246,-931) -> Matrix(13,2,-150,-23) Matrix(559,2108,214,807) -> Matrix(11,2,126,23) Matrix(929,3472,514,1921) -> Matrix(15,2,262,35) Matrix(3037,11346,-1776,-6635) -> Matrix(15,2,-248,-33) Matrix(681,2542,116,433) -> Matrix(11,2,60,11) Matrix(2543,9486,582,2171) -> Matrix(15,2,112,15) Matrix(433,1612,-350,-1303) -> Matrix(35,6,-776,-133) Matrix(185,682,-118,-435) -> Matrix(13,2,-228,-35) Matrix(681,2480,-494,-1799) -> Matrix(13,2,-280,-43) Matrix(683,2480,-290,-1053) -> Matrix(41,6,-458,-67) Matrix(805,2914,-634,-2295) -> Matrix(13,2,-280,-43) Matrix(3037,10974,-2248,-8123) -> Matrix(37,6,-734,-119) Matrix(4651,16802,1768,6387) -> Matrix(13,2,162,25) Matrix(619,2232,378,1363) -> Matrix(27,4,506,75) Matrix(1053,3782,742,2665) -> Matrix(13,2,240,37) Matrix(1055,3782,-778,-2789) -> Matrix(41,6,-786,-115) Matrix(433,1550,-364,-1303) -> Matrix(69,10,-1594,-231) Matrix(991,3534,-348,-1241) -> Matrix(29,4,-254,-35) Matrix(557,1984,226,805) -> Matrix(13,2,162,25) Matrix(123,434,70,247) -> Matrix(1,0,24,1) Matrix(125,434,36,125) -> Matrix(27,4,236,35) Matrix(433,1488,126,433) -> Matrix(99,14,898,127) Matrix(1177,4030,-960,-3287) -> Matrix(43,6,-982,-137) Matrix(1487,5084,580,1983) -> Matrix(173,24,2112,293) Matrix(309,1054,236,805) -> Matrix(15,2,352,47) Matrix(621,2108,256,869) -> Matrix(1,0,20,1) Matrix(1117,3782,806,2729) -> Matrix(29,4,616,85) Matrix(2419,8184,-1704,-5765) -> Matrix(15,2,-218,-29) Matrix(2605,8804,-1504,-5083) -> Matrix(61,8,-938,-123) Matrix(1177,3968,202,681) -> Matrix(47,6,274,35) Matrix(8371,28210,2484,8371) -> Matrix(143,18,1422,179) Matrix(5889,19840,1748,5889) -> Matrix(81,10,818,101) Matrix(1179,3968,424,1427) -> Matrix(19,2,218,23) Matrix(1549,5208,682,2293) -> Matrix(15,2,202,27) Matrix(1737,5828,-1478,-4959) -> Matrix(35,4,-814,-93) Matrix(371,1240,-260,-869) -> Matrix(1,0,-12,1) Matrix(619,2046,-488,-1613) -> Matrix(1,0,-14,1) Matrix(433,1426,-358,-1179) -> Matrix(43,6,-982,-137) Matrix(435,1426,284,931) -> Matrix(15,2,322,43) Matrix(1117,3658,644,2109) -> Matrix(29,4,500,69) Matrix(683,2232,-474,-1549) -> Matrix(15,2,-218,-29) Matrix(557,1798,-250,-807) -> Matrix(17,2,-196,-23) Matrix(559,1798,328,1055) -> Matrix(15,2,262,35) Matrix(371,1178,234,743) -> Matrix(1,0,26,1) Matrix(745,2356,314,993) -> Matrix(57,8,748,105) Matrix(867,2728,512,1611) -> Matrix(61,8,1136,149) Matrix(497,1550,-278,-867) -> Matrix(31,4,-504,-65) Matrix(495,1426,344,991) -> Matrix(1,0,28,1) Matrix(497,1426,130,373) -> Matrix(33,4,272,33) Matrix(2479,7068,-1740,-4961) -> Matrix(35,4,-604,-69) Matrix(807,2294,502,1427) -> Matrix(17,2,314,37) Matrix(373,1054,132,373) -> Matrix(107,12,1168,131) Matrix(309,868,110,309) -> Matrix(91,10,1010,111) Matrix(311,868,-244,-681) -> Matrix(19,2,-390,-41) Matrix(247,682,-180,-497) -> Matrix(1,0,-10,1) Matrix(249,682,-226,-619) -> Matrix(35,4,-884,-101) Matrix(3535,9672,1292,3535) -> Matrix(197,22,2158,241) Matrix(2789,7626,1020,2789) -> Matrix(199,22,2198,243) Matrix(1861,5084,772,2109) -> Matrix(37,4,490,53) Matrix(683,1860,524,1427) -> Matrix(19,2,446,47) Matrix(433,1178,68,185) -> Matrix(19,2,104,11) Matrix(435,1178,298,807) -> Matrix(19,2,408,43) Matrix(619,1674,504,1363) -> Matrix(75,8,1828,195) Matrix(185,496,-116,-311) -> Matrix(19,2,-352,-37) Matrix(187,496,164,435) -> Matrix(21,2,556,53) Matrix(867,2294,562,1487) -> Matrix(1,0,30,1) Matrix(681,1798,164,433) -> Matrix(19,2,142,15) Matrix(3101,8184,-1926,-5083) -> Matrix(1,0,-8,1) Matrix(683,1798,-400,-1053) -> Matrix(19,2,-314,-33) Matrix(2791,7316,-2152,-5641) -> Matrix(55,6,-1146,-125) Matrix(5395,14136,-3336,-8741) -> Matrix(19,2,-238,-25) Matrix(805,2108,118,309) -> Matrix(19,2,28,3) Matrix(6325,16554,1706,4465) -> Matrix(347,36,2882,299) Matrix(2109,5518,1280,3349) -> Matrix(39,4,770,79) Matrix(807,2108,214,559) -> Matrix(19,2,142,15) Matrix(309,806,166,433) -> Matrix(19,2,294,31) Matrix(311,806,120,311) -> Matrix(99,10,1178,119) Matrix(433,1116,168,433) -> Matrix(141,14,1702,169) Matrix(869,2232,628,1613) -> Matrix(41,4,912,89) Matrix(1983,5084,580,1487) -> Matrix(245,24,2256,221) Matrix(3099,7936,-1792,-4589) -> Matrix(247,24,-3880,-377) Matrix(1115,2852,242,619) -> Matrix(41,4,256,25) Matrix(1117,2852,826,2109) -> Matrix(1,0,32,1) Matrix(559,1426,-510,-1301) -> Matrix(103,10,-2606,-253) Matrix(2169,5518,1340,3409) -> Matrix(21,2,430,41) Matrix(2417,6138,-1392,-3535) -> Matrix(21,2,-326,-31) Matrix(123,310,98,247) -> Matrix(1,0,34,1) Matrix(805,1984,226,557) -> Matrix(21,2,178,17) Matrix(2975,7316,1714,4215) -> Matrix(1,0,28,1) Matrix(1363,3348,252,619) -> Matrix(1,0,16,1) Matrix(557,1364,430,1053) -> Matrix(65,6,1484,137) Matrix(1117,2728,762,1861) -> Matrix(1,0,32,1) Matrix(4649,11346,-3430,-8371) -> Matrix(13,2,-254,-39) Matrix(5083,12400,1372,3347) -> Matrix(75,8,628,67) Matrix(1551,3782,1348,3287) -> Matrix(99,10,2564,259) Matrix(433,1054,76,185) -> Matrix(21,2,136,13) Matrix(869,2108,256,621) -> Matrix(1,0,20,1) Matrix(6757,16368,1868,4525) -> Matrix(21,2,136,13) Matrix(13951,33790,5760,13951) -> Matrix(319,30,4030,379) Matrix(5889,14260,2432,5889) -> Matrix(65,6,834,77) Matrix(743,1798,512,1239) -> Matrix(43,4,892,83) Matrix(745,1798,-462,-1115) -> Matrix(43,4,-742,-69) Matrix(311,744,130,311) -> Matrix(109,10,1406,129) Matrix(495,1178,208,495) -> Matrix(177,16,2312,209) Matrix(3347,7936,-2040,-4837) -> Matrix(179,16,-2920,-261) Matrix(497,1178,262,621) -> Matrix(45,4,776,69) Matrix(681,1612,602,1425) -> Matrix(157,14,4138,369) Matrix(3721,8804,-2620,-6199) -> Matrix(45,4,-934,-83) Matrix(1549,3658,1076,2541) -> Matrix(23,2,448,39) Matrix(3101,7316,1840,4341) -> Matrix(43,4,806,75) Matrix(2603,6138,-1578,-3721) -> Matrix(89,8,-1502,-135) Matrix(185,434,26,61) -> Matrix(23,2,126,11) Matrix(187,434,134,311) -> Matrix(23,2,494,43) Matrix(619,1426,484,1115) -> Matrix(45,4,1046,93) Matrix(433,992,-244,-559) -> Matrix(23,2,-380,-33) Matrix(435,992,82,187) -> Matrix(23,2,126,11) Matrix(681,1550,-518,-1179) -> Matrix(23,2,-472,-41) Matrix(683,1550,-464,-1053) -> Matrix(23,2,-426,-37) Matrix(4837,10974,2132,4837) -> Matrix(47,4,646,55) Matrix(2789,6324,1230,2789) -> Matrix(23,2,310,27) Matrix(247,558,-220,-497) -> Matrix(45,4,-1114,-99) Matrix(1551,3472,1136,2543) -> Matrix(71,6,1550,131) Matrix(1053,2356,914,2045) -> Matrix(119,10,3082,259) Matrix(805,1798,638,1425) -> Matrix(71,6,1692,143) Matrix(559,1240,252,559) -> Matrix(215,18,2998,251) Matrix(309,682,140,309) -> Matrix(121,10,1706,141) Matrix(311,682,-254,-557) -> Matrix(25,2,-538,-43) Matrix(2107,4588,-1538,-3349) -> Matrix(149,12,-2918,-235) Matrix(2851,6200,-1540,-3349) -> Matrix(401,32,-5802,-463) Matrix(743,1612,-572,-1241) -> Matrix(1,0,-8,1) Matrix(373,806,230,497) -> Matrix(1,0,32,1) Matrix(495,1054,116,247) -> Matrix(1,0,20,1) Matrix(557,1178,322,681) -> Matrix(23,2,402,35) Matrix(621,1178,262,497) -> Matrix(61,4,808,53) Matrix(559,1054,428,807) -> Matrix(29,2,652,45) Matrix(433,806,166,309) -> Matrix(27,2,310,23) Matrix(435,806,34,63) -> Matrix(29,2,130,9) Matrix(8307,15376,3818,7067) -> Matrix(1217,84,17632,1217) Matrix(8309,15376,3820,7069) -> Matrix(1219,84,17690,1219) Matrix(2045,3782,-1308,-2419) -> Matrix(29,2,-624,-43) Matrix(1613,2976,-1142,-2107) -> Matrix(1,0,-4,1) Matrix(373,682,204,373) -> Matrix(119,8,2008,135) Matrix(681,1240,374,681) -> Matrix(211,14,3602,239) Matrix(683,1240,-580,-1053) -> Matrix(31,2,-698,-45) Matrix(993,1798,206,373) -> Matrix(61,4,442,29) Matrix(1303,2356,172,311) -> Matrix(31,2,170,11) Matrix(1921,3472,514,929) -> Matrix(31,2,294,19) Matrix(1177,2108,-866,-1551) -> Matrix(31,2,-636,-41) Matrix(3535,6324,1976,3535) -> Matrix(159,10,2846,179) Matrix(6137,10974,3432,6137) -> Matrix(161,10,2914,181) Matrix(2915,5208,2048,3659) -> Matrix(33,2,676,41) Matrix(2293,4092,868,1549) -> Matrix(31,2,356,23) Matrix(557,992,452,805) -> Matrix(33,2,808,49) Matrix(2169,3844,944,1673) -> Matrix(39,2,526,27) Matrix(2171,3844,946,1675) -> Matrix(23,2,310,27) Matrix(807,1426,176,311) -> Matrix(29,2,188,13) Matrix(247,434,70,123) -> Matrix(1,0,24,1) Matrix(1427,2480,-1034,-1797) -> Matrix(31,2,-636,-41) Matrix(18785,32612,7392,12833) -> Matrix(29,2,362,25) Matrix(19965,34658,7858,13641) -> Matrix(1,0,28,1) Matrix(4215,7316,1714,2975) -> Matrix(1,0,28,1) Matrix(2109,3658,644,1117) -> Matrix(61,4,564,37) Matrix(2791,4836,752,1303) -> Matrix(33,2,280,17) Matrix(931,1612,108,187) -> Matrix(31,2,46,3) Matrix(681,1178,322,557) -> Matrix(31,2,418,27) Matrix(1363,2356,932,1611) -> Matrix(63,4,1244,79) Matrix(683,1178,396,683) -> Matrix(159,10,2846,179) Matrix(433,744,252,433) -> Matrix(97,6,1762,109) Matrix(4711,8060,1304,2231) -> Matrix(65,4,536,33) Matrix(14755,25234,-10804,-18477) -> Matrix(199,12,-3864,-233) Matrix(2975,5084,1886,3223) -> Matrix(1,0,36,1) Matrix(1055,1798,328,559) -> Matrix(31,2,294,19) Matrix(8371,14260,4914,8371) -> Matrix(159,10,2846,179) Matrix(19839,33790,11648,19839) -> Matrix(641,40,11554,721) Matrix(5643,9610,1202,2047) -> Matrix(225,14,1366,85) Matrix(1239,2108,874,1487) -> Matrix(65,4,1316,81) Matrix(621,1054,512,869) -> Matrix(67,4,1658,99) Matrix(2231,3782,292,495) -> Matrix(65,4,276,17) Matrix(6695,11346,2414,4091) -> Matrix(1,0,28,1) Matrix(8929,15128,-6440,-10911) -> Matrix(65,4,-1284,-79) Matrix(1611,2728,512,867) -> Matrix(133,8,1280,77) Matrix(807,1364,184,311) -> Matrix(35,2,262,15) Matrix(4155,7006,1214,2047) -> Matrix(35,2,332,19) Matrix(4341,7316,1840,3101) -> Matrix(67,4,854,51) Matrix(1179,1984,848,1427) -> Matrix(35,2,752,43) Matrix(187,310,38,63) -> Matrix(33,2,214,13) Matrix(21017,34658,8910,14693) -> Matrix(441,26,5716,337) Matrix(19779,32612,8386,13827) -> Matrix(511,30,6660,391) Matrix(3349,5518,1280,2109) -> Matrix(71,4,834,47) Matrix(1055,1736,-866,-1425) -> Matrix(31,2,-698,-45) Matrix(2417,3968,868,1425) -> Matrix(35,2,402,23) Matrix(3099,5084,982,1611) -> Matrix(131,8,1228,75) Matrix(3101,5084,2194,3597) -> Matrix(67,4,1390,83) Matrix(1363,2232,378,619) -> Matrix(67,4,586,35) Matrix(683,1116,418,683) -> Matrix(101,6,1902,113) Matrix(495,806,304,495) -> Matrix(69,4,1328,77) Matrix(497,806,230,373) -> Matrix(1,0,32,1) Matrix(1301,2108,956,1549) -> Matrix(35,2,752,43) Matrix(3409,5518,1340,2169) -> Matrix(37,2,462,25) Matrix(10727,17360,3870,6263) -> Matrix(35,2,402,23) Matrix(1303,2108,1112,1799) -> Matrix(39,2,994,51) Matrix(21389,34596,8164,13205) -> Matrix(59,2,678,23) Matrix(21391,34596,8166,13207) -> Matrix(7,2,80,23) Matrix(3721,6014,998,1613) -> Matrix(1,0,24,1) Matrix(1921,3100,422,681) -> Matrix(35,2,262,15) Matrix(10913,17608,-7992,-12895) -> Matrix(139,8,-2728,-157) Matrix(10415,16802,7532,12151) -> Matrix(71,4,1544,87) Matrix(9547,15376,3618,5827) -> Matrix(69,4,776,45) Matrix(9549,15376,3620,5829) -> Matrix(71,4,834,47) Matrix(2543,4092,1118,1799) -> Matrix(35,2,472,27) Matrix(1427,2294,502,807) -> Matrix(33,2,346,21) Matrix(309,496,38,61) -> Matrix(35,2,122,7) Matrix(2417,3844,896,1425) -> Matrix(51,2,586,23) Matrix(2419,3844,898,1427) -> Matrix(19,2,218,23) Matrix(1055,1674,196,311) -> Matrix(31,2,170,11) Matrix(743,1178,234,371) -> Matrix(1,0,26,1) Matrix(745,1178,628,993) -> Matrix(69,4,1742,101) Matrix(1177,1860,274,433) -> Matrix(35,2,262,15) Matrix(1611,2542,-1258,-1985) -> Matrix(1,0,-4,1) Matrix(4837,7626,3068,4837) -> Matrix(1,0,36,1) Matrix(6137,9672,3894,6137) -> Matrix(103,6,1974,115) Matrix(867,1364,-710,-1117) -> Matrix(71,4,-1580,-89) Matrix(6697,10478,1982,3101) -> Matrix(149,8,1434,77) Matrix(11097,17360,4240,6633) -> Matrix(263,14,3062,163) Matrix(7255,11346,2974,4651) -> Matrix(39,2,448,23) Matrix(2541,3968,1786,2789) -> Matrix(33,2,676,41) Matrix(2543,3968,994,1551) -> Matrix(37,2,462,25) Matrix(559,868,360,559) -> Matrix(35,2,682,39) Matrix(681,1054,440,681) -> Matrix(37,2,758,41) Matrix(1487,2294,562,867) -> Matrix(1,0,30,1) Matrix(2293,3534,-1650,-2543) -> Matrix(37,2,-722,-39) Matrix(929,1426,686,1053) -> Matrix(35,2,752,43) Matrix(931,1426,284,435) -> Matrix(39,2,370,19) Matrix(929,1364,126,185) -> Matrix(37,2,166,9) Matrix(1861,2728,762,1117) -> Matrix(1,0,32,1) Matrix(3473,5084,1356,1985) -> Matrix(65,4,796,49) Matrix(807,1178,298,435) -> Matrix(39,2,448,23) Matrix(1239,1798,512,743) -> Matrix(75,4,956,51) Matrix(557,806,-472,-683) -> Matrix(37,2,-870,-47) Matrix(2665,3844,816,1177) -> Matrix(51,2,484,19) Matrix(2667,3844,818,1179) -> Matrix(23,2,218,19) Matrix(2541,3658,1076,1549) -> Matrix(35,2,472,27) Matrix(991,1426,344,495) -> Matrix(1,0,28,1) Matrix(7255,10416,1944,2791) -> Matrix(35,2,262,15) Matrix(6263,8990,1858,2667) -> Matrix(107,6,1052,59) Matrix(2293,3286,-1688,-2419) -> Matrix(37,2,-722,-39) Matrix(10787,15376,3218,4587) -> Matrix(1,0,34,1) Matrix(10789,15376,3220,4589) -> Matrix(1,0,22,1) Matrix(1611,2294,-1394,-1985) -> Matrix(73,4,-1734,-95) Matrix(3225,4588,698,993) -> Matrix(75,4,506,27) Matrix(13951,19840,9810,13951) -> Matrix(265,14,5546,293) Matrix(19839,28210,13952,19839) -> Matrix(305,16,6424,337) Matrix(6323,8990,1918,2727) -> Matrix(153,8,1396,73) Matrix(7377,10478,2662,3781) -> Matrix(39,2,448,23) Matrix(24365,34596,7204,10229) -> Matrix(71,2,674,19) Matrix(24367,34596,7206,10231) -> Matrix(3,2,28,19) Matrix(2665,3782,742,1053) -> Matrix(33,2,280,17) Matrix(1487,2108,874,1239) -> Matrix(73,4,1332,73) Matrix(745,1054,176,249) -> Matrix(1,0,26,1) Matrix(3597,5084,2194,3101) -> Matrix(75,4,1406,75) Matrix(4959,7006,2018,2851) -> Matrix(75,4,956,51) Matrix(1055,1488,748,1055) -> Matrix(113,6,2354,125) Matrix(309,434,220,309) -> Matrix(39,2,838,43) Matrix(311,434,134,187) -> Matrix(39,2,526,27) Matrix(1427,1984,848,1179) -> Matrix(39,2,760,39) Matrix(4773,6634,-4060,-5643) -> Matrix(37,2,-870,-47) Matrix(2233,3100,358,497) -> Matrix(75,4,356,19) Matrix(1921,2666,312,433) -> Matrix(115,6,594,31) Matrix(15873,22010,-11714,-16243) -> Matrix(467,24,-9126,-469) Matrix(2729,3782,806,1117) -> Matrix(77,4,712,37) Matrix(1613,2232,628,869) -> Matrix(81,4,992,49) Matrix(5829,8060,2422,3349) -> Matrix(157,8,1982,101) Matrix(6323,8742,-5382,-7441) -> Matrix(157,8,-3670,-187) Matrix(11843,16368,6954,9611) -> Matrix(281,14,5078,253) Matrix(7627,10540,5878,8123) -> Matrix(203,10,4608,227) Matrix(1303,1798,1124,1551) -> Matrix(39,2,994,51) Matrix(2789,3844,764,1053) -> Matrix(45,2,382,17) Matrix(2791,3844,766,1055) -> Matrix(33,2,280,17) Matrix(9053,12400,5342,7317) -> Matrix(1,0,38,1) Matrix(12089,16554,7470,10229) -> Matrix(39,2,760,39) Matrix(3533,4836,1494,2045) -> Matrix(197,10,2620,133) Matrix(2357,3224,454,621) -> Matrix(159,8,934,47) Matrix(1859,2542,362,495) -> Matrix(81,4,506,25) Matrix(4401,6014,1678,2293) -> Matrix(39,2,448,23) Matrix(7625,10416,2314,3161) -> Matrix(115,6,1054,55) Matrix(70369,96100,18840,25729) -> Matrix(39,2,682,35) Matrix(70371,96100,18842,25731) -> Matrix(39,2,-98,-5) Matrix(2543,3472,1136,1551) -> Matrix(119,6,1646,83) Matrix(1549,2108,956,1301) -> Matrix(39,2,760,39) Matrix(45383,61504,11894,16119) -> Matrix(2027,104,17210,883) Matrix(45385,61504,11896,16121) -> Matrix(1873,96,15940,817) Matrix(1053,1426,686,929) -> Matrix(39,2,760,39) Matrix(2293,3100,412,557) -> Matrix(39,2,136,7) Matrix(1241,1674,920,1241) -> Matrix(239,12,5238,263) Matrix(185,248,138,185) -> Matrix(41,2,922,45) Matrix(1365,1798,848,1117) -> Matrix(1,0,40,1) Matrix(805,1054,236,309) -> Matrix(43,2,408,19) Matrix(807,1054,428,559) -> Matrix(41,2,676,33) Matrix(11779,15376,2754,3595) -> Matrix(163,8,1202,59) Matrix(11781,15376,2756,3597) -> Matrix(165,8,1258,61) Matrix(1427,1860,524,683) -> Matrix(43,2,494,23) Matrix(5827,7564,1050,1363) -> Matrix(247,12,1132,55) Matrix(2915,3782,622,807) -> Matrix(207,10,1304,63) Matrix(7315,9486,5354,6943) -> Matrix(83,4,1722,83) Matrix(1053,1364,430,557) -> Matrix(125,6,1604,77) Matrix(1055,1364,816,1055) -> Matrix(293,14,6718,321) Matrix(433,558,336,433) -> Matrix(127,6,2942,139) Matrix(2419,3100,920,1179) -> Matrix(43,2,494,23) Matrix(1115,1426,484,619) -> Matrix(85,4,1126,53) Matrix(2233,2852,1360,1737) -> Matrix(1,0,40,1) Matrix(3595,4588,1068,1363) -> Matrix(1,0,32,1) Matrix(2975,3782,682,867) -> Matrix(85,4,616,29) Matrix(7563,9610,3122,3967) -> Matrix(173,8,2184,101) Matrix(929,1178,-832,-1055) -> Matrix(127,6,-3154,-149) Matrix(3037,3844,636,805) -> Matrix(43,2,494,23) Matrix(3039,3844,638,807) -> Matrix(43,2,64,3) Matrix(1425,1798,638,805) -> Matrix(131,6,1812,83) Matrix(247,310,98,123) -> Matrix(1,0,34,1) Matrix(2047,2542,550,683) -> Matrix(219,10,1730,79) Matrix(2603,3224,700,867) -> Matrix(353,16,2846,129) Matrix(805,992,452,557) -> Matrix(45,2,832,37) Matrix(1363,1674,504,619) -> Matrix(179,8,2036,91) Matrix(2729,3348,1618,1985) -> Matrix(91,4,1706,75) Matrix(6201,7564,1424,1737) -> Matrix(179,8,1320,59) Matrix(2543,3100,662,807) -> Matrix(133,6,1086,49) Matrix(3161,3844,560,681) -> Matrix(45,2,652,29) Matrix(3163,3844,562,683) -> Matrix(45,2,-158,-7) Matrix(869,1054,512,621) -> Matrix(91,4,1706,75) Matrix(3287,3968,2312,2791) -> Matrix(47,2,1010,43) Matrix(2109,2542,1544,1861) -> Matrix(1,0,44,1) Matrix(2233,2666,624,745) -> Matrix(367,16,3280,143) Matrix(2603,3100,728,867) -> Matrix(369,16,3344,145) Matrix(993,1178,628,745) -> Matrix(93,4,1790,77) Matrix(1799,2108,1112,1303) -> Matrix(47,2,1010,43) Matrix(373,434,214,249) -> Matrix(95,4,1686,71) Matrix(1179,1364,376,435) -> Matrix(143,6,1406,59) Matrix(2045,2356,914,1053) -> Matrix(239,10,3322,139) Matrix(3287,3782,1348,1551) -> Matrix(239,10,2844,119) Matrix(1241,1426,1080,1241) -> Matrix(671,28,17422,727) Matrix(433,496,378,433) -> Matrix(241,10,6290,261) Matrix(435,496,164,187) -> Matrix(49,2,612,25) Matrix(1425,1612,602,681) -> Matrix(341,14,4506,185) Matrix(743,806,342,371) -> Matrix(205,8,2998,117) Matrix(1,0,2,1) -> Matrix(1,0,58,1) Matrix(619,-682,226,-249) -> Matrix(109,-4,1172,-43) Matrix(1053,-1178,278,-311) -> Matrix(53,-2,504,-19) Matrix(1985,-2294,1394,-1611) -> Matrix(103,-4,2086,-81) Matrix(2851,-3348,740,-869) -> Matrix(405,-16,3316,-131) Matrix(4959,-5828,1478,-1737) -> Matrix(101,-4,1086,-43) Matrix(1053,-1240,580,-683) -> Matrix(49,-2,858,-35) Matrix(1303,-1550,364,-433) -> Matrix(251,-10,2234,-89) Matrix(1179,-1426,358,-433) -> Matrix(149,-6,1366,-55) Matrix(1427,-1736,254,-309) -> Matrix(49,-2,74,-3) Matrix(1425,-1736,866,-1055) -> Matrix(49,-2,858,-35) Matrix(557,-682,254,-311) -> Matrix(47,-2,682,-29) Matrix(1303,-1612,350,-433) -> Matrix(145,-6,1136,-47) Matrix(1177,-1488,246,-311) -> Matrix(47,-2,400,-17) Matrix(1613,-2046,488,-619) -> Matrix(1,0,-14,1) Matrix(2295,-2914,634,-805) -> Matrix(47,-2,400,-17) Matrix(681,-868,244,-311) -> Matrix(45,-2,518,-23) Matrix(1985,-2542,1258,-1611) -> Matrix(1,0,-4,1) Matrix(5641,-7316,2152,-2791) -> Matrix(137,-6,1530,-67) Matrix(1241,-1612,572,-743) -> Matrix(1,0,-8,1) Matrix(2851,-3720,666,-869) -> Matrix(91,-4,660,-29) Matrix(1179,-1550,518,-681) -> Matrix(45,-2,608,-27) Matrix(2479,-3348,368,-497) -> Matrix(87,-4,370,-17) Matrix(2789,-3782,778,-1055) -> Matrix(127,-6,1122,-53) Matrix(1551,-2108,866,-1177) -> Matrix(45,-2,788,-35) Matrix(8309,-11346,3450,-4711) -> Matrix(87,-4,1066,-49) Matrix(1179,-1612,226,-309) -> Matrix(45,-2,248,-11) Matrix(497,-682,180,-247) -> Matrix(1,0,-10,1) Matrix(1799,-2480,494,-681) -> Matrix(47,-2,400,-17) Matrix(1797,-2480,1034,-1427) -> Matrix(45,-2,788,-35) Matrix(2109,-2914,448,-619) -> Matrix(1,0,-16,1) Matrix(7937,-10974,2062,-2851) -> Matrix(175,-8,1422,-65) Matrix(2727,-3782,716,-993) -> Matrix(85,-4,744,-35) Matrix(1117,-1550,178,-247) -> Matrix(85,-4,404,-19) Matrix(2543,-3534,1650,-2293) -> Matrix(43,-2,882,-41) Matrix(2853,-4030,526,-743) -> Matrix(83,-4,436,-21) Matrix(5765,-8184,1704,-2419) -> Matrix(33,-2,314,-19) Matrix(6199,-8804,2620,-3721) -> Matrix(91,-4,1206,-53) Matrix(4091,-5828,610,-869) -> Matrix(1,0,-16,1) Matrix(869,-1240,260,-371) -> Matrix(1,0,-12,1) Matrix(1427,-2046,302,-433) -> Matrix(41,-2,226,-11) Matrix(993,-1426,172,-247) -> Matrix(1,0,-14,1) Matrix(1549,-2232,474,-683) -> Matrix(33,-2,314,-19) Matrix(1241,-1798,684,-991) -> Matrix(83,-4,1432,-69) Matrix(1053,-1550,464,-683) -> Matrix(41,-2,554,-27) Matrix(4589,-7068,1368,-2107) -> Matrix(1,0,-10,1) Matrix(557,-868,120,-187) -> Matrix(39,-2,254,-13) Matrix(435,-682,118,-185) -> Matrix(39,-2,332,-17) Matrix(433,-682,40,-63) -> Matrix(39,-2,98,-5) Matrix(311,-496,116,-185) -> Matrix(41,-2,472,-23) Matrix(5083,-8184,1926,-3101) -> Matrix(1,0,-8,1) Matrix(1115,-1798,462,-745) -> Matrix(77,-4,982,-51) Matrix(4525,-7316,1036,-1675) -> Matrix(33,-2,248,-15) Matrix(8741,-14136,3336,-5395) -> Matrix(29,-2,334,-23) Matrix(4837,-7936,2040,-3347) -> Matrix(293,-16,3864,-211) Matrix(867,-1426,76,-125) -> Matrix(1,0,-16,1) Matrix(3721,-6138,1578,-2603) -> Matrix(151,-8,1982,-105) Matrix(6697,-11346,1756,-2975) -> Matrix(147,-8,1268,-69) Matrix(1053,-1798,400,-683) -> Matrix(37,-2,426,-23) Matrix(4589,-7936,1792,-3099) -> Matrix(425,-24,5224,-295) Matrix(5083,-8804,1504,-2605) -> Matrix(139,-8,1338,-77) Matrix(3535,-6138,1392,-2417) -> Matrix(35,-2,438,-25) Matrix(559,-992,244,-433) -> Matrix(37,-2,500,-27) Matrix(869,-1550,208,-371) -> Matrix(1,0,-10,1) Matrix(867,-1550,278,-497) -> Matrix(73,-4,712,-39) Matrix(311,-558,34,-61) -> Matrix(35,-2,158,-9) Matrix(371,-682,68,-125) -> Matrix(67,-4,352,-21) Matrix(2481,-4588,670,-1239) -> Matrix(265,-16,2236,-135) Matrix(3349,-6200,1540,-2851) -> Matrix(527,-32,7658,-465) Matrix(869,-1612,200,-371) -> Matrix(65,-4,504,-31) Matrix(1737,-3782,626,-1363) -> Matrix(173,-12,2004,-139) Matrix(1363,-2976,398,-869) -> Matrix(229,-16,2104,-147) Matrix(557,-1240,84,-187) -> Matrix(83,-6,346,-25) Matrix(931,-2108,246,-557) -> Matrix(27,-2,230,-17) Matrix(1053,-2480,290,-683) -> Matrix(79,-6,698,-53) Matrix(10479,-25234,2806,-6757) -> Matrix(25,-2,138,-11) Matrix(6199,-15128,1728,-4217) -> Matrix(37,-4,324,-35) Matrix(681,-1736,122,-311) -> Matrix(25,-2,88,-7) Matrix(6695,-17608,1792,-4713) -> Matrix(1,0,-2,1) Matrix(931,-2542,204,-557) -> Matrix(67,-6,458,-41) Matrix(497,-1364,90,-247) -> Matrix(1,0,-6,1) Matrix(1241,-3534,348,-991) -> Matrix(43,-4,398,-37) Matrix(249,-806,38,-123) -> Matrix(39,-4,166,-17) Matrix(993,-3286,262,-867) -> Matrix(37,-4,324,-35) Matrix(683,-2294,92,-309) -> Matrix(19,-2,86,-9) Matrix(1861,-6634,278,-991) -> Matrix(1,0,-6,1) Matrix(6137,-22010,1608,-5767) -> Matrix(403,-46,3408,-389) Matrix(2419,-8742,360,-1301) -> Matrix(17,-2,60,-7) Matrix(249,-1178,26,-123) -> Matrix(1,0,-2,1) 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): 160 Degree of the the map X: 160 Degree of the the map Y: 480 ----------------------------------------------------------------------- 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. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.