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: 120 Genus: 181 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -9/20 -8/19 -2/5 -7/18 -6/17 -5/16 -4/15 -1/4 -3/14 -2/13 0/1 3/19 5/28 1/5 2/9 7/26 5/17 3/8 10/23 1/2 4/7 8/13 13/20 9/13 23/32 14/19 4/5 5/6 1/1 8/7 6/5 5/4 37/29 19/14 32/23 7/5 58/41 13/9 3/2 20/13 11/7 101/64 13/8 41/25 7/4 127/71 85/47 64/35 43/23 2/1 15/7 23/10 19/8 70/29 17/7 164/67 5/2 13/5 8/3 145/53 11/4 97/35 65/23 20/7 49/17 3/1 25/8 16/5 23/7 10/3 17/5 7/2 43/12 181/50 11/3 26/7 87/23 19/5 4/1 29/7 133/32 17/4 13/3 22/5 9/2 14/3 19/4 24/5 82/17 5/1 26/5 21/4 37/7 16/3 27/5 11/2 28/5 17/3 23/4 6/1 25/4 44/7 19/3 13/2 20/3 27/4 7/1 29/4 22/3 15/2 23/3 8/1 25/3 59/7 17/2 9/1 10/1 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 0/1 1/63 -9/19 1/61 1/60 -8/17 1/61 -7/15 1/60 1/59 -13/28 0/1 2/117 -19/41 0/1 -6/13 1/60 -17/37 3/178 1/59 -11/24 1/59 2/117 -5/11 0/1 -19/42 3/176 2/117 -33/73 5/291 1/58 -14/31 1/58 -23/51 1/59 3/176 -9/20 1/58 -13/29 1/59 1/58 -4/9 1/58 -19/43 2/115 -15/34 4/229 1/57 -11/25 1/57 3/170 -40/91 1/57 -29/66 2/113 1/56 -18/41 1/58 -7/16 0/1 2/113 -17/39 0/1 -10/23 3/170 -13/30 2/113 1/56 -16/37 1/57 -3/7 1/56 1/55 -17/40 1/56 2/111 -14/33 1/54 -11/26 0/1 2/111 -41/97 3/166 1/55 -30/71 1/56 -19/45 5/277 3/166 -8/19 1/55 -29/69 7/383 3/164 -50/119 1/55 -21/50 4/219 3/164 -34/81 5/272 -13/31 2/109 -18/43 1/54 -5/12 1/55 2/109 -27/65 3/163 1/54 -49/118 2/109 4/217 -22/53 1/54 -17/41 2/109 -29/70 10/541 1/54 -12/29 1/54 -19/46 0/1 2/109 -26/63 3/164 -7/17 3/163 1/54 -16/39 1/54 -9/22 3/161 2/107 -11/27 3/163 1/54 -2/5 1/53 -11/28 6/313 1/52 -9/23 1/53 1/52 -34/87 11/578 -25/64 2/105 8/419 -16/41 1/52 -7/18 1/52 -26/67 1/52 -45/116 4/207 3/155 -19/49 4/207 -12/31 5/258 -29/75 3/154 1/51 -17/44 0/1 2/103 -22/57 1/52 -5/13 1/52 3/155 -18/47 7/360 -13/34 2/103 4/205 -47/123 3/154 1/51 -34/89 1/51 -21/55 1/52 1/51 -8/21 1/50 -19/50 2/103 1/51 -11/29 2/103 -14/37 5/256 -17/45 11/562 1/51 -3/8 1/51 2/101 -13/35 2/101 -10/27 1/50 -17/46 4/201 1/50 -24/65 1/50 -31/84 0/1 1/47 -7/19 2/101 -25/68 4/201 1/50 -18/49 1/50 -11/30 3/151 4/201 -26/71 7/351 -15/41 11/551 1/50 -4/11 1/50 -13/36 1/50 2/99 -9/25 1/50 3/149 -14/39 3/148 -5/14 0/1 2/99 -11/31 5/246 1/49 -17/48 6/295 1/49 -6/17 1/49 -13/37 4/195 -7/20 5/243 2/97 -8/23 1/49 -1/3 1/48 1/47 -7/22 0/1 2/93 -6/19 5/232 -11/35 4/185 -5/16 1/46 -19/61 4/183 -14/45 1/46 -9/29 1/46 3/137 -4/13 1/45 -11/36 0/1 1/44 -18/59 1/48 -7/23 1/46 1/45 -10/33 1/46 -3/10 2/91 1/45 -11/37 1/45 7/314 -19/64 6/269 4/179 -8/27 1/44 -13/44 1/45 2/89 -18/61 1/44 -5/17 2/89 -22/75 9/400 -17/58 2/89 1/44 -12/41 1/44 -7/24 1/44 2/87 -9/31 0/1 -2/7 1/44 -11/39 1/44 5/219 -9/32 1/44 2/87 -16/57 1/44 -7/25 0/1 -12/43 1/44 -5/18 2/87 1/43 -13/47 1/44 1/43 -21/76 1/43 -29/105 1/43 3/128 -8/29 1/43 -11/40 0/1 1/40 -14/51 1/48 -3/11 1/44 1/43 -13/48 0/1 1/43 -10/37 1/43 -17/63 1/43 5/214 -7/26 0/1 1/45 -11/41 2/87 -4/15 1/43 -13/49 0/1 -22/83 3/128 -9/34 0/1 1/42 -14/53 1/41 -19/72 0/1 1/49 -5/19 1/43 1/42 -6/23 1/42 -1/4 0/1 2/85 -5/21 1/43 1/42 -4/17 1/44 -7/30 2/85 1/42 -3/13 1/42 1/41 -14/61 1/46 -11/48 2/85 1/42 -8/35 1/41 -5/22 1/42 2/83 -12/53 1/42 -7/31 2/83 -16/71 1/41 -9/40 2/83 1/41 -20/89 1/41 -11/49 1/41 3/122 -2/9 1/42 -7/32 0/1 1/42 -12/55 3/124 -5/23 0/1 -13/60 7/291 2/83 -21/97 5/207 3/124 -8/37 1/42 -3/14 1/41 -10/47 3/122 -17/80 4/163 2/81 -7/33 1/41 3/122 -11/52 1/40 2/79 -15/71 1/40 1/39 -4/19 1/41 -5/24 0/1 1/41 -11/53 2/81 -6/29 1/40 -1/5 1/41 1/40 -5/26 0/1 2/79 -9/47 1/39 1/38 -4/21 1/40 -3/16 2/79 1/39 -5/27 2/79 -2/11 1/39 -5/28 1/40 2/79 -13/73 4/157 -8/45 1/40 -11/62 2/79 8/315 -3/17 5/196 1/39 -4/23 7/272 -9/52 5/194 4/155 -5/29 2/77 -1/6 1/39 2/77 -3/19 3/115 1/38 -2/13 1/38 -5/33 1/38 3/113 -8/53 3/113 -3/20 1/38 2/75 -7/47 3/113 5/188 -4/27 3/112 -5/34 0/1 1/38 -1/7 2/75 -2/15 7/260 -3/23 1/37 11/406 -1/8 1/37 2/73 -3/25 2/73 -2/17 3/109 -1/9 5/181 1/36 -1/10 4/143 2/71 -1/11 3/106 1/35 0/1 1/32 1/9 1/29 3/86 1/8 2/57 4/113 2/15 1/28 3/22 16/449 1/28 1/7 1/28 5/139 4/27 1/28 3/20 1/28 2/55 2/13 3/83 3/19 2/55 1/6 2/55 1/27 3/17 11/298 1/27 5/28 1/27 7/39 1/27 25/674 2/11 7/188 3/16 1/27 4/107 4/21 1/26 5/26 2/55 1/27 1/5 2/53 4/19 3/80 7/33 5/132 3/79 3/14 2/53 1/26 5/23 3/79 1/26 2/9 1/26 7/31 1/26 7/181 12/53 29/748 5/22 4/103 2/51 8/35 1/26 3/13 1/26 3/77 4/17 1/25 1/4 2/51 1/25 6/23 1/26 5/19 2/51 4/15 7/176 7/26 1/25 10/37 17/424 3/11 1/25 5/124 14/51 23/568 11/40 8/197 2/49 8/29 1/24 5/18 2/49 1/24 7/25 1/26 1/25 2/7 1/25 9/31 1/26 1/25 7/24 1/25 2/49 12/41 5/124 5/17 2/49 3/10 1/25 2/49 7/23 0/1 11/36 2/49 3/73 4/13 1/24 5/16 0/1 2/49 11/35 3/73 7/170 6/19 1/24 7/22 8/193 1/24 1/3 1/24 1/23 6/17 1/24 5/14 0/1 1/23 14/39 3/68 9/25 1/23 1/22 13/36 0/1 1/24 4/11 1/23 19/52 0/1 1/21 15/41 1/25 1/24 26/71 1/24 11/30 2/49 1/24 29/79 6/143 47/128 9/214 4/95 18/49 13/308 25/68 12/283 2/47 32/87 21/494 7/19 3/70 1/23 3/8 1/23 11/29 1/23 1/22 19/50 0/1 2/45 27/71 1/23 1/22 8/21 1/22 13/34 2/45 7/157 31/81 3/67 13/290 49/128 18/401 4/89 18/47 11/244 5/13 0/1 7/18 0/1 1/22 16/41 1/23 9/23 3/70 1/23 11/28 0/1 2/45 13/33 1/24 1/23 2/5 1/22 11/27 3/70 1/23 20/49 1/23 9/22 1/23 2/45 7/17 2/45 19/46 2/45 3/67 31/75 7/157 5/112 12/29 1/22 29/70 1/22 17/41 1/22 1/21 22/53 1/23 5/12 2/45 1/22 8/19 1/23 19/45 7/155 1/22 49/116 1/22 30/71 1/22 11/26 1/22 2/43 3/7 1/23 1/22 10/23 1/22 17/39 1/22 5/109 7/16 1/22 2/43 18/41 1/22 29/66 2/43 3/64 11/25 0/1 4/9 1/20 9/20 0/1 1/20 14/31 1/23 5/11 1/22 1/21 11/24 0/1 1/21 6/13 1/22 7/15 0/1 8/17 1/22 1/2 0/1 2/43 9/17 1/22 1/21 8/15 1/18 7/13 1/23 1/22 6/11 1/22 17/31 2/43 11/20 2/43 1/21 16/29 1/21 37/67 1/21 1/20 21/38 0/1 1/19 5/9 1/22 1/21 24/43 5/98 19/34 0/1 1/15 33/59 1/27 1/26 14/25 1/23 37/66 4/89 1/22 23/41 1/22 5/109 32/57 3/64 9/16 0/1 1/22 4/7 1/21 15/26 2/41 1/20 41/71 1/21 1/20 26/45 1/22 37/64 2/43 1/21 11/19 2/41 18/31 1/20 25/43 1/22 1/21 32/55 3/61 7/12 0/1 1/19 24/41 7/152 65/111 2/43 41/70 2/43 8/171 17/29 5/106 1/21 27/46 1/21 4/83 10/17 1/21 23/39 1/21 1/20 13/22 0/1 1/21 3/5 1/21 1/20 11/18 0/1 1/24 30/49 1/24 19/31 1/23 1/22 27/44 0/1 1/21 35/57 3/67 1/22 8/13 1/21 37/60 4/85 1/21 66/107 1/22 29/47 3/64 1/21 50/81 19/402 21/34 1/21 13/21 1/21 1/20 31/50 0/1 2/41 18/29 3/62 41/66 4/81 1/20 23/37 0/1 5/8 1/21 2/41 17/27 2/41 29/46 2/41 4/81 41/65 5/101 1/20 12/19 1/20 55/87 1/21 1/20 43/68 0/1 2/41 31/49 3/61 1/20 19/30 8/161 1/20 64/101 1/20 45/71 1/20 19/379 26/41 11/218 33/52 7/137 2/39 7/11 0/1 9/14 2/41 1/20 20/31 3/61 31/48 11/223 4/81 42/65 1/20 11/17 5/101 1/20 13/20 1/20 15/23 1/20 7/139 2/3 1/20 13/19 1/19 5/94 11/16 0/1 2/37 20/29 1/18 9/13 0/1 25/36 0/1 1/21 16/23 1/21 7/10 2/41 1/20 26/37 3/59 71/101 13/255 5/98 45/64 9/176 2/39 19/27 3/58 1/19 31/44 0/1 2/37 43/61 1/22 1/21 12/17 1/20 41/58 1/20 29/41 1/20 7/139 46/65 5/99 17/24 1/20 2/39 22/31 9/176 27/38 3/59 2/39 5/7 2/39 33/46 15/289 4/77 28/39 17/326 51/71 9/172 1/19 23/32 1/19 18/25 1/20 31/43 1/20 1/19 13/18 2/39 1/19 47/65 1/20 1/19 34/47 1/19 55/76 0/1 1/21 21/29 1/20 1/19 29/40 0/1 2/39 37/51 2/39 8/11 1/20 27/37 5/97 3/58 19/26 4/77 6/115 11/15 7/134 1/19 14/19 1/19 17/23 1/19 11/208 3/4 1/19 2/37 19/25 2/37 35/46 2/37 12/221 16/21 1/18 29/38 2/37 3/55 13/17 2/37 23/30 3/55 4/73 10/13 1/18 27/35 1/19 1/18 44/57 1/18 17/22 0/1 2/37 41/53 5/91 1/18 24/31 1/18 7/9 1/19 1/18 11/14 0/1 1/20 26/33 1/20 15/19 1/19 3/56 19/24 0/1 1/18 4/5 1/19 25/31 1/19 3/56 21/26 13/241 2/37 17/21 7/129 5/92 47/58 18/331 8/147 30/37 23/422 43/53 10/183 13/16 4/73 1/18 22/27 1/18 9/11 3/55 1/18 32/39 7/128 55/67 9/164 5/91 23/28 4/73 6/109 14/17 1/18 5/6 1/18 11/13 4/71 28/33 1/18 17/20 5/88 2/35 6/7 5/88 19/22 2/35 3/52 13/15 5/86 1/17 7/8 0/1 2/35 15/17 1/18 1/17 8/9 1/18 1/1 1/17 1/16 9/8 1/16 2/31 8/7 1/15 23/20 0/1 1/16 15/13 1/16 3/47 7/6 2/31 5/77 13/11 4/61 6/5 1/15 23/19 6/89 17/14 1/15 6/89 45/37 1/15 5/74 28/23 1/15 67/55 5/74 9/133 106/87 21/310 39/32 4/59 7/103 50/41 3/44 11/9 1/15 5/74 16/13 3/44 37/30 5/73 2/29 21/17 5/73 7/102 47/38 25/363 2/29 73/59 2/29 26/21 13/188 31/25 5/72 3/43 5/4 0/1 2/29 24/19 1/16 43/34 1/15 19/15 1/15 3/44 33/26 1/15 4/59 14/11 3/44 37/29 2/29 60/47 13/188 23/18 2/29 5/72 9/7 3/43 1/14 31/24 1/14 53/41 1/13 1/12 22/17 1/15 13/10 2/29 1/14 17/13 0/1 55/42 4/61 1/15 38/29 11/164 21/16 3/44 2/29 4/3 1/14 19/14 1/14 34/25 1/14 15/11 1/14 11/153 41/30 8/111 7/97 26/19 7/97 37/27 5/69 9/124 48/35 1/14 11/8 4/55 3/41 51/37 2/27 40/29 1/13 29/21 3/43 1/14 76/55 21/292 123/89 15/208 7/97 47/34 6/83 4/55 65/47 1/14 3/41 18/13 1/14 25/18 1/14 4/55 57/41 3/41 5/68 32/23 3/41 71/51 3/41 5/68 39/28 2/27 1/13 7/5 2/27 38/27 5/62 69/49 1/11 1/10 31/22 0/1 1/17 55/39 1/14 1/13 24/17 1/14 65/46 2/29 4/57 41/29 5/71 1/14 58/41 1/14 75/53 1/14 13/181 17/12 1/14 4/55 78/55 23/314 61/43 5/68 7/95 44/31 1/13 27/19 1/14 3/41 91/64 13/176 2/27 64/45 7/94 101/71 1/14 1/13 37/26 0/1 2/27 10/7 1/14 13/9 2/27 29/20 3/40 4/53 16/11 1/13 35/24 0/1 1/13 19/13 1/14 1/13 60/41 1/14 41/28 0/1 2/27 22/15 1/14 3/2 2/27 1/13 20/13 1/13 37/24 1/13 24/311 17/11 1/13 11/142 65/42 9/116 8/103 48/31 23/296 31/20 8/103 6/77 45/29 1/13 5/64 14/9 5/64 67/43 4/51 53/34 4/51 18/229 39/25 13/165 3/38 64/41 5/63 25/16 3/38 2/25 11/7 2/25 41/26 1/13 2/25 71/45 3/37 1/12 101/64 1/12 30/19 1/12 49/31 1/13 1/12 68/43 1/13 19/12 1/13 2/25 8/5 1/14 37/23 4/51 66/41 5/64 95/59 4/51 29/18 1/13 2/25 50/31 1/13 71/44 3/38 2/25 92/57 1/12 21/13 1/13 1/12 55/34 4/51 3/38 89/55 2/25 34/21 1/13 47/29 1/13 3/38 13/8 4/51 2/25 57/35 1/13 5/64 44/27 3/38 31/19 7/89 3/38 49/30 11/139 8/101 67/41 2/25 18/11 7/88 41/25 2/25 64/39 25/312 23/14 2/25 9/112 5/3 3/37 1/12 32/19 1/13 27/16 0/1 1/12 22/13 1/12 83/49 0/1 61/36 0/1 1/13 39/23 1/13 1/12 56/33 1/12 17/10 0/1 2/25 29/17 1/13 3/38 99/58 4/51 3/38 70/41 5/63 111/65 2/25 41/24 1/13 2/25 53/31 2/25 12/7 5/62 55/32 10/123 4/49 98/57 9/110 43/25 1/13 1/12 74/43 3/37 31/18 4/49 1/12 50/29 7/86 19/11 4/49 7/4 1/12 23/13 4/47 85/48 4/47 3/35 62/35 1/12 101/57 1/12 1/11 39/22 5/59 4/47 94/53 3/35 55/31 7/82 3/35 71/40 0/1 2/23 16/9 1/12 57/32 1/12 4/47 98/55 11/129 41/23 13/152 3/35 66/37 11/128 25/14 8/93 2/23 59/33 11/127 13/150 93/52 35/403 2/23 127/71 2/23 34/19 11/126 77/43 2/23 43/24 2/23 5/57 52/29 1/11 9/5 1/12 1/11 47/26 0/1 1/9 85/47 0/1 38/21 1/14 67/37 1/13 3/38 29/16 0/1 2/25 49/27 1/13 1/12 20/11 1/12 31/17 2/25 42/23 15/182 53/29 21/253 1/12 64/35 1/12 11/6 1/12 6/71 24/13 1/12 13/7 3/35 5/58 28/15 13/150 43/23 2/23 58/31 27/310 15/8 2/23 7/80 2/1 1/11 19/9 1/11 1/10 17/8 4/43 3/32 32/15 7/74 15/7 2/21 43/20 2/21 12/125 71/33 7/73 5/52 28/13 5/52 13/6 3/31 4/41 24/11 1/10 35/16 4/41 6/61 46/21 21/212 11/5 1/10 3/29 20/9 1/12 49/22 0/1 1/11 29/13 0/1 9/4 2/21 3/31 34/15 1/10 25/11 4/41 91/40 3/31 4/41 66/29 1/10 41/18 4/41 5/51 16/7 1/10 23/10 1/10 30/13 1/10 7/3 1/10 3/29 33/14 2/19 9/85 26/11 3/28 97/41 6/55 71/30 10/91 1/9 116/49 1/9 45/19 1/9 5/44 19/8 0/1 2/19 69/29 5/46 1/9 50/21 1/8 31/13 0/1 12/5 1/10 65/27 5/51 1/10 53/22 2/21 4/41 41/17 11/111 1/10 70/29 1/10 99/41 1/10 31/309 29/12 1/10 10/99 75/31 7/69 13/128 121/50 6/59 28/275 46/19 19/186 17/7 2/19 39/16 1/10 22/9 1/10 93/38 4/39 3/29 164/67 3/29 71/29 1/10 3/29 49/20 4/39 2/19 76/31 1/10 27/11 1/10 3/29 5/2 2/19 1/9 33/13 1/9 7/62 28/11 1/9 51/20 0/1 1/9 74/29 1/10 23/9 1/10 1/9 18/7 1/10 67/26 2/19 4/37 49/19 1/9 3/26 80/31 1/7 111/43 0/1 142/55 3/40 31/12 0/1 1/10 13/5 2/19 60/23 1/10 167/64 1/10 107/41 1/10 3/29 47/18 2/19 1/9 81/31 3/28 1/9 34/13 5/48 123/47 15/142 13/123 89/34 2/19 16/151 55/21 5/47 3/28 21/8 3/28 4/37 8/3 1/9 27/10 3/26 2/17 100/37 1/8 73/27 5/46 1/9 265/98 1/9 192/71 25/224 119/44 1/9 10/89 46/17 1/9 19/7 3/26 5/43 106/39 27/230 193/71 2/17 87/32 2/17 19/161 68/25 3/25 117/43 1/9 3/26 49/18 1/9 2/17 177/65 2/17 128/47 5/42 79/29 2/17 30/11 1/8 71/26 1/9 4/35 112/41 1/9 41/15 1/9 3/26 93/34 9/77 2/17 145/53 2/17 197/72 2/17 19/161 52/19 5/42 63/23 3/25 1/8 11/4 0/1 2/17 47/17 1/10 1/9 36/13 1/8 97/35 0/1 158/57 1/12 61/22 0/1 1/10 25/9 1/9 1/8 14/5 1/10 31/11 4/35 48/17 17/146 113/40 24/205 2/17 65/23 2/17 82/29 7/59 17/6 2/17 1/8 20/7 1/9 23/8 1/9 2/17 49/17 2/17 26/9 1/8 3/1 1/9 1/8 25/8 1/8 22/7 1/8 19/6 1/8 4/31 54/17 5/38 35/11 1/8 3/23 51/16 3/23 2/15 16/5 1/7 61/19 1/7 1/6 45/14 0/1 1/9 29/9 1/8 1/7 13/4 1/8 2/15 49/15 1/9 1/8 36/11 1/6 23/7 2/15 33/10 0/1 1/8 10/3 3/22 27/8 0/1 1/7 98/29 1/6 71/21 1/7 3/20 115/34 2/13 1/6 44/13 1/7 17/5 0/1 41/12 0/1 1/9 24/7 1/8 127/37 1/8 1/7 230/67 1/7 103/30 0/1 1/7 79/23 0/1 55/16 0/1 1/9 31/9 1/8 3/23 7/2 0/1 2/15 32/9 3/22 25/7 3/22 1/7 43/12 1/7 104/29 17/116 61/17 2/13 18/5 1/6 47/13 0/1 123/34 4/33 1/8 76/21 1/8 181/50 1/8 105/29 1/8 11/87 29/8 1/8 2/15 98/27 5/38 69/19 2/15 40/11 1/7 91/25 1/8 1/7 51/14 3/23 2/15 62/17 9/68 11/3 3/22 1/7 26/7 1/7 41/11 1/7 11/76 15/4 1/7 4/27 34/9 3/20 121/32 20/131 2/13 87/23 2/13 140/37 7/45 53/14 2/13 3/19 19/5 2/13 42/11 1/8 23/6 0/1 1/8 50/13 1/7 77/20 8/57 1/7 27/7 1/7 7/48 4/1 1/6 29/7 2/15 54/13 13/92 133/32 1/7 79/19 1/7 17/118 25/6 1/7 2/13 21/5 1/8 1/7 17/4 0/1 2/13 30/7 5/32 13/3 1/6 1/5 35/8 0/1 1/6 57/13 1/7 1/6 22/5 1/7 9/2 1/6 32/7 3/17 87/19 5/27 3/16 55/12 2/11 1/5 78/17 1/6 23/5 3/16 1/5 60/13 1/4 217/47 0/1 157/34 0/1 1/9 97/21 1/7 1/6 37/8 0/1 2/11 14/3 1/6 47/10 4/23 2/11 33/7 1/6 5/29 52/11 3/17 19/4 2/11 3/16 24/5 3/16 53/11 11/56 1/5 82/17 1/5 29/6 1/5 4/19 34/7 1/4 5/1 0/1 31/6 2/13 1/6 26/5 1/6 47/9 1/6 3/17 21/4 1/6 4/23 79/15 3/17 5/28 58/11 3/17 37/7 2/11 16/3 3/16 27/5 1/6 1/5 11/2 2/11 1/5 28/5 1/5 45/8 1/5 8/39 17/3 1/5 3/14 23/4 0/1 2/9 29/5 1/5 5/24 6/1 1/4 25/4 0/1 1/2 44/7 1/1 19/3 0/1 51/8 0/1 1/9 32/5 1/8 13/2 0/1 2/11 33/5 5/26 1/5 20/3 1/4 27/4 1/5 2/9 7/1 1/5 1/4 29/4 1/4 22/3 1/4 15/2 1/4 2/7 23/3 3/10 1/3 8/1 1/3 25/3 -1/1 1/0 42/5 -1/10 59/7 0/1 17/2 0/1 1/9 9/1 1/4 1/3 10/1 1/3 11/1 0/1 1/0 0/1 1/1 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(883,422,634,303) (-1/2,-9/19) -> (71/51,39/28) Hyperbolic Matrix(501,236,622,293) (-9/19,-8/17) -> (4/5,25/31) Hyperbolic Matrix(619,290,1492,699) (-8/17,-7/15) -> (17/41,22/53) Hyperbolic Matrix(1725,802,1112,517) (-7/15,-13/28) -> (31/20,45/29) Hyperbolic Matrix(1967,912,2586,1199) (-13/28,-19/41) -> (19/25,35/46) Hyperbolic Matrix(4915,2276,1354,627) (-19/41,-6/13) -> (98/27,69/19) Hyperbolic Matrix(243,112,614,283) (-6/13,-17/37) -> (13/33,2/5) Hyperbolic Matrix(2073,952,368,169) (-17/37,-11/24) -> (45/8,17/3) Hyperbolic Matrix(607,278,976,447) (-11/24,-5/11) -> (23/37,5/8) Hyperbolic Matrix(601,272,-3374,-1527) (-5/11,-19/42) -> (-5/28,-13/73) Hyperbolic Matrix(6267,2834,8914,4031) (-19/42,-33/73) -> (71/101,45/64) Hyperbolic Matrix(2891,1306,1202,543) (-33/73,-14/31) -> (12/5,65/27) Hyperbolic Matrix(483,218,-2528,-1141) (-14/31,-23/51) -> (-9/47,-4/21) Hyperbolic Matrix(2641,1190,2044,921) (-23/51,-9/20) -> (31/24,53/41) Hyperbolic Matrix(1079,484,836,375) (-9/20,-13/29) -> (9/7,31/24) Hyperbolic Matrix(1555,696,954,427) (-13/29,-4/9) -> (44/27,31/19) Hyperbolic Matrix(1303,576,1536,679) (-4/9,-19/43) -> (11/13,28/33) Hyperbolic Matrix(589,260,-2834,-1251) (-19/43,-15/34) -> (-5/24,-11/53) Hyperbolic Matrix(1769,780,474,209) (-15/34,-11/25) -> (41/11,15/4) Hyperbolic Matrix(2119,932,1180,519) (-11/25,-40/91) -> (52/29,9/5) Hyperbolic Matrix(5179,2276,826,363) (-40/91,-29/66) -> (25/4,44/7) Hyperbolic Matrix(469,206,-3176,-1395) (-29/66,-18/41) -> (-4/27,-5/34) Hyperbolic Matrix(589,258,468,205) (-18/41,-7/16) -> (5/4,24/19) Hyperbolic Matrix(1403,612,2226,971) (-7/16,-17/39) -> (17/27,29/46) Hyperbolic Matrix(583,254,1990,867) (-17/39,-10/23) -> (12/41,5/17) Hyperbolic Matrix(2213,960,1284,557) (-10/23,-13/30) -> (31/18,50/29) Hyperbolic Matrix(351,152,-2330,-1009) (-13/30,-16/37) -> (-8/53,-3/20) Hyperbolic Matrix(1395,602,1972,851) (-16/37,-3/7) -> (29/41,46/65) Hyperbolic Matrix(2525,1074,576,245) (-3/7,-17/40) -> (35/8,57/13) Hyperbolic Matrix(457,194,-2636,-1119) (-17/40,-14/33) -> (-4/23,-9/52) Hyperbolic Matrix(1491,632,2404,1019) (-14/33,-11/26) -> (31/50,18/29) Hyperbolic Matrix(3661,1548,4458,1885) (-11/26,-41/97) -> (55/67,23/28) Hyperbolic Matrix(8461,3576,13716,5797) (-41/97,-30/71) -> (66/107,29/47) Hyperbolic Matrix(2741,1158,6630,2801) (-30/71,-19/45) -> (31/75,12/29) Hyperbolic Matrix(911,384,-2166,-913) (-19/45,-8/19) -> (-8/19,-29/69) Parabolic Matrix(10243,4304,14572,6123) (-29/69,-50/119) -> (26/37,71/101) Hyperbolic Matrix(5237,2200,1364,573) (-50/119,-21/50) -> (23/6,50/13) Hyperbolic Matrix(1591,668,-6938,-2913) (-21/50,-34/81) -> (-14/61,-11/48) Hyperbolic Matrix(4665,1958,2728,1145) (-34/81,-13/31) -> (53/31,12/7) Hyperbolic Matrix(797,334,-2842,-1191) (-13/31,-18/43) -> (-16/57,-7/25) Hyperbolic Matrix(1587,664,1250,523) (-18/43,-5/12) -> (33/26,14/11) Hyperbolic Matrix(1809,752,3274,1361) (-5/12,-27/65) -> (37/67,21/38) Hyperbolic Matrix(11173,4640,5194,2157) (-27/65,-49/118) -> (43/20,71/33) Hyperbolic Matrix(9253,3842,6322,2625) (-49/118,-22/53) -> (60/41,41/28) Hyperbolic Matrix(1581,656,-5078,-2107) (-22/53,-17/41) -> (-19/61,-14/45) Hyperbolic Matrix(2481,1028,6760,2801) (-17/41,-29/70) -> (11/30,29/79) Hyperbolic Matrix(227,94,1688,699) (-29/70,-12/29) -> (2/15,3/22) Hyperbolic Matrix(1239,512,1798,743) (-12/29,-19/46) -> (11/16,20/29) Hyperbolic Matrix(4611,1904,2584,1067) (-19/46,-26/63) -> (66/37,25/14) Hyperbolic Matrix(1459,602,-6740,-2781) (-26/63,-7/17) -> (-21/97,-8/37) Hyperbolic Matrix(783,322,338,139) (-7/17,-16/39) -> (30/13,7/3) Hyperbolic Matrix(1117,458,1456,597) (-16/39,-9/22) -> (23/30,10/13) Hyperbolic Matrix(2005,818,1228,501) (-9/22,-11/27) -> (31/19,49/30) Hyperbolic Matrix(1225,498,888,361) (-11/27,-2/5) -> (40/29,29/21) Hyperbolic Matrix(763,300,1086,427) (-2/5,-11/28) -> (7/10,26/37) Hyperbolic Matrix(1305,512,2062,809) (-11/28,-9/23) -> (31/49,19/30) Hyperbolic Matrix(2383,932,652,255) (-9/23,-34/87) -> (62/17,11/3) Hyperbolic Matrix(4223,1650,11484,4487) (-34/87,-25/64) -> (25/68,32/87) Hyperbolic Matrix(3899,1522,1514,591) (-25/64,-16/41) -> (18/7,67/26) Hyperbolic Matrix(755,294,-1944,-757) (-16/41,-7/18) -> (-7/18,-26/67) Parabolic Matrix(8413,3264,6900,2677) (-26/67,-45/116) -> (39/32,50/41) Hyperbolic Matrix(11859,4600,3452,1339) (-45/116,-19/49) -> (79/23,55/16) Hyperbolic Matrix(2477,960,756,293) (-19/49,-12/31) -> (36/11,23/7) Hyperbolic Matrix(5061,1958,1936,749) (-12/31,-29/75) -> (81/31,34/13) Hyperbolic Matrix(1397,540,3552,1373) (-29/75,-17/44) -> (11/28,13/33) Hyperbolic Matrix(2905,1122,3762,1453) (-17/44,-22/57) -> (44/57,17/22) Hyperbolic Matrix(109,42,750,289) (-22/57,-5/13) -> (1/7,4/27) Hyperbolic Matrix(323,124,-1180,-453) (-5/13,-18/47) -> (-14/51,-3/11) Hyperbolic Matrix(1819,696,426,163) (-18/47,-13/34) -> (17/4,30/7) Hyperbolic Matrix(7159,2736,11322,4327) (-13/34,-47/123) -> (55/87,43/68) Hyperbolic Matrix(10255,3918,7368,2815) (-47/123,-34/89) -> (32/23,71/51) Hyperbolic Matrix(6833,2610,4914,1877) (-34/89,-21/55) -> (57/41,32/23) Hyperbolic Matrix(959,366,2670,1019) (-21/55,-8/21) -> (14/39,9/25) Hyperbolic Matrix(747,284,2554,971) (-8/21,-19/50) -> (7/24,12/41) Hyperbolic Matrix(1169,444,2130,809) (-19/50,-11/29) -> (17/31,11/20) Hyperbolic Matrix(533,202,-2446,-927) (-11/29,-14/37) -> (-12/55,-5/23) Hyperbolic Matrix(2121,802,320,121) (-14/37,-17/45) -> (33/5,20/3) Hyperbolic Matrix(1801,680,1168,441) (-17/45,-3/8) -> (37/24,17/11) Hyperbolic Matrix(947,352,1364,507) (-3/8,-13/35) -> (9/13,25/36) Hyperbolic Matrix(943,350,1366,507) (-13/35,-10/27) -> (20/29,9/13) Hyperbolic Matrix(1363,504,1674,619) (-10/27,-17/46) -> (13/16,22/27) Hyperbolic Matrix(731,270,2304,851) (-17/46,-24/65) -> (6/19,7/22) Hyperbolic Matrix(5543,2046,8580,3167) (-24/65,-31/84) -> (31/48,42/65) Hyperbolic Matrix(1047,386,1462,539) (-31/84,-7/19) -> (5/7,33/46) Hyperbolic Matrix(7097,2610,4386,1613) (-7/19,-25/68) -> (55/34,89/55) Hyperbolic Matrix(419,154,2816,1035) (-25/68,-18/49) -> (4/27,3/20) Hyperbolic Matrix(1357,498,624,229) (-18/49,-11/30) -> (13/6,24/11) Hyperbolic Matrix(1457,534,2502,917) (-11/30,-26/71) -> (32/55,7/12) Hyperbolic Matrix(2813,1030,4580,1677) (-26/71,-15/41) -> (35/57,8/13) Hyperbolic Matrix(1559,570,1146,419) (-15/41,-4/11) -> (34/25,15/11) Hyperbolic Matrix(725,262,1652,597) (-4/11,-13/36) -> (7/16,18/41) Hyperbolic Matrix(1343,484,308,111) (-13/36,-9/25) -> (13/3,35/8) Hyperbolic Matrix(723,260,-2372,-853) (-9/25,-14/39) -> (-18/59,-7/23) Hyperbolic Matrix(721,258,204,73) (-14/39,-5/14) -> (7/2,32/9) Hyperbolic Matrix(1227,436,1742,619) (-5/14,-11/31) -> (19/27,31/44) Hyperbolic Matrix(2659,942,3678,1303) (-11/31,-17/48) -> (13/18,47/65) Hyperbolic Matrix(921,326,-4088,-1447) (-17/48,-6/17) -> (-16/71,-9/40) Hyperbolic Matrix(711,250,-3154,-1109) (-6/17,-13/37) -> (-7/31,-16/71) Hyperbolic Matrix(3153,1106,1930,677) (-13/37,-7/20) -> (49/30,67/41) Hyperbolic Matrix(1113,388,1724,601) (-7/20,-8/23) -> (20/31,31/48) Hyperbolic Matrix(1211,418,704,243) (-8/23,-1/3) -> (43/25,74/43) Hyperbolic Matrix(1067,340,386,123) (-1/3,-7/22) -> (11/4,47/17) Hyperbolic Matrix(1645,522,1062,337) (-7/22,-6/19) -> (48/31,31/20) Hyperbolic Matrix(1831,576,480,151) (-6/19,-11/35) -> (19/5,42/11) Hyperbolic Matrix(479,150,-1536,-481) (-11/35,-5/16) -> (-5/16,-19/61) Parabolic Matrix(3447,1072,2492,775) (-14/45,-9/29) -> (65/47,18/13) Hyperbolic Matrix(1627,504,1146,355) (-9/29,-4/13) -> (44/31,27/19) Hyperbolic Matrix(667,204,1710,523) (-4/13,-11/36) -> (7/18,16/41) Hyperbolic Matrix(3517,1074,2754,841) (-11/36,-18/59) -> (60/47,23/18) Hyperbolic Matrix(283,86,1234,375) (-7/23,-10/33) -> (8/35,3/13) Hyperbolic Matrix(1513,458,664,201) (-10/33,-3/10) -> (41/18,16/7) Hyperbolic Matrix(281,84,378,113) (-3/10,-11/37) -> (17/23,3/4) Hyperbolic Matrix(4129,1226,2536,753) (-11/37,-19/64) -> (13/8,57/35) Hyperbolic Matrix(2253,668,1312,389) (-19/64,-8/27) -> (12/7,55/32) Hyperbolic Matrix(561,166,1220,361) (-8/27,-13/44) -> (11/24,6/13) Hyperbolic Matrix(2527,746,376,111) (-13/44,-18/61) -> (20/3,27/4) Hyperbolic Matrix(4027,1188,1122,331) (-18/61,-5/17) -> (61/17,18/5) Hyperbolic Matrix(6353,1864,3548,1041) (-5/17,-22/75) -> (34/19,77/43) Hyperbolic Matrix(7659,2246,4948,1451) (-22/75,-17/58) -> (65/42,48/31) Hyperbolic Matrix(2055,602,652,191) (-17/58,-12/41) -> (22/7,19/6) Hyperbolic Matrix(1027,300,558,163) (-12/41,-7/24) -> (11/6,24/13) Hyperbolic Matrix(1211,352,836,243) (-7/24,-9/31) -> (13/9,29/20) Hyperbolic Matrix(1767,512,742,215) (-9/31,-2/7) -> (50/21,31/13) Hyperbolic Matrix(183,52,278,79) (-2/7,-11/39) -> (15/23,2/3) Hyperbolic Matrix(1377,388,1196,337) (-11/39,-9/32) -> (23/20,15/13) Hyperbolic Matrix(3761,1056,2112,593) (-9/32,-16/57) -> (16/9,57/32) Hyperbolic Matrix(1833,512,1006,281) (-7/25,-12/43) -> (20/11,31/17) Hyperbolic Matrix(2195,612,642,179) (-12/43,-5/18) -> (41/12,24/7) Hyperbolic Matrix(1003,278,184,51) (-5/18,-13/47) -> (27/5,11/2) Hyperbolic Matrix(3465,958,2738,757) (-13/47,-21/76) -> (43/34,19/15) Hyperbolic Matrix(6291,1738,8756,2419) (-21/76,-29/105) -> (51/71,23/32) Hyperbolic Matrix(12949,3576,4740,1309) (-29/105,-8/29) -> (112/41,41/15) Hyperbolic Matrix(821,226,1820,501) (-8/29,-11/40) -> (9/20,14/31) Hyperbolic Matrix(3733,1026,2274,625) (-11/40,-14/51) -> (64/39,23/14) Hyperbolic Matrix(633,172,92,25) (-3/11,-13/48) -> (27/4,7/1) Hyperbolic Matrix(1811,490,632,171) (-13/48,-10/37) -> (20/7,23/8) Hyperbolic Matrix(2985,806,1174,317) (-10/37,-17/63) -> (33/13,28/11) Hyperbolic Matrix(1625,438,4248,1145) (-17/63,-7/26) -> (13/34,31/81) Hyperbolic Matrix(633,170,2074,557) (-7/26,-11/41) -> (7/23,11/36) Hyperbolic Matrix(359,96,-1350,-361) (-11/41,-4/15) -> (-4/15,-13/49) Parabolic Matrix(2603,690,630,167) (-13/49,-22/83) -> (4/1,29/7) Hyperbolic Matrix(3413,904,1076,285) (-22/83,-9/34) -> (19/6,54/17) Hyperbolic Matrix(3501,926,2242,593) (-9/34,-14/53) -> (64/41,25/16) Hyperbolic Matrix(9507,2510,3496,923) (-14/53,-19/72) -> (87/32,68/25) Hyperbolic Matrix(5557,1466,3946,1041) (-19/72,-5/19) -> (69/49,31/22) Hyperbolic Matrix(1697,444,1074,281) (-5/19,-6/23) -> (30/19,49/31) Hyperbolic Matrix(891,232,626,163) (-6/23,-1/4) -> (37/26,10/7) Hyperbolic Matrix(693,166,956,229) (-1/4,-5/21) -> (21/29,29/40) Hyperbolic Matrix(953,226,1556,369) (-5/21,-4/17) -> (30/49,19/31) Hyperbolic Matrix(861,202,260,61) (-4/17,-7/30) -> (33/10,10/3) Hyperbolic Matrix(601,140,1378,321) (-7/30,-3/13) -> (17/39,7/16) Hyperbolic Matrix(2229,512,1798,413) (-3/13,-14/61) -> (26/21,31/25) Hyperbolic Matrix(1967,450,3510,803) (-11/48,-8/35) -> (14/25,37/66) Hyperbolic Matrix(1367,312,942,215) (-8/35,-5/22) -> (29/20,16/11) Hyperbolic Matrix(1279,290,172,39) (-5/22,-12/53) -> (22/3,15/2) Hyperbolic Matrix(5117,1158,1878,425) (-12/53,-7/31) -> (79/29,30/11) Hyperbolic Matrix(8853,1990,2300,517) (-9/40,-20/89) -> (50/13,77/20) Hyperbolic Matrix(9873,2218,1874,421) (-20/89,-11/49) -> (79/15,58/11) Hyperbolic Matrix(2465,552,1362,305) (-11/49,-2/9) -> (38/21,67/37) Hyperbolic Matrix(931,204,1182,259) (-2/9,-7/32) -> (11/14,26/33) Hyperbolic Matrix(1519,332,2704,591) (-7/32,-12/55) -> (32/57,9/16) Hyperbolic Matrix(1179,256,1856,403) (-5/23,-13/60) -> (33/52,7/11) Hyperbolic Matrix(3537,766,4382,949) (-13/60,-21/97) -> (25/31,21/26) Hyperbolic Matrix(251,54,-1176,-253) (-8/37,-3/14) -> (-3/14,-10/47) Parabolic Matrix(3687,784,2516,535) (-10/47,-17/80) -> (41/28,22/15) Hyperbolic Matrix(9301,1976,6538,1389) (-17/80,-7/33) -> (101/71,37/26) Hyperbolic Matrix(4857,1028,2008,425) (-7/33,-11/52) -> (29/12,75/31) Hyperbolic Matrix(3935,832,752,159) (-11/52,-15/71) -> (47/9,21/4) Hyperbolic Matrix(3261,688,2678,565) (-15/71,-4/19) -> (28/23,67/55) Hyperbolic Matrix(1751,366,1086,227) (-4/19,-5/24) -> (29/18,50/31) Hyperbolic Matrix(9075,1882,3332,691) (-11/53,-6/29) -> (128/47,79/29) Hyperbolic Matrix(1411,290,832,171) (-6/29,-1/5) -> (39/23,56/33) Hyperbolic Matrix(1391,270,984,191) (-1/5,-5/26) -> (65/46,41/29) Hyperbolic Matrix(3105,596,1714,329) (-5/26,-9/47) -> (67/37,29/16) Hyperbolic Matrix(733,138,324,61) (-4/21,-3/16) -> (9/4,34/15) Hyperbolic Matrix(1379,256,404,75) (-3/16,-5/27) -> (17/5,41/12) Hyperbolic Matrix(1375,254,406,75) (-5/27,-2/11) -> (44/13,17/5) Hyperbolic Matrix(321,58,404,73) (-2/11,-5/28) -> (19/24,4/5) Hyperbolic Matrix(6263,1114,2648,471) (-13/73,-8/45) -> (26/11,97/41) Hyperbolic Matrix(2567,456,3372,599) (-8/45,-11/62) -> (35/46,16/21) Hyperbolic Matrix(8425,1494,6096,1081) (-11/62,-3/17) -> (123/89,47/34) Hyperbolic Matrix(239,42,882,155) (-3/17,-4/23) -> (10/37,3/11) Hyperbolic Matrix(2871,496,7820,1351) (-9/52,-5/29) -> (29/79,47/128) Hyperbolic Matrix(1595,274,716,123) (-5/29,-1/6) -> (49/22,29/13) Hyperbolic Matrix(627,100,1022,163) (-1/6,-3/19) -> (19/31,27/44) Hyperbolic Matrix(547,86,706,111) (-3/19,-2/13) -> (24/31,7/9) Hyperbolic Matrix(1325,202,1712,261) (-2/13,-5/33) -> (41/53,24/31) Hyperbolic Matrix(2489,376,4508,681) (-5/33,-8/53) -> (16/29,37/67) Hyperbolic Matrix(6825,1018,2018,301) (-3/20,-7/47) -> (71/21,115/34) Hyperbolic Matrix(5735,852,4032,599) (-7/47,-4/27) -> (64/45,101/71) Hyperbolic Matrix(387,56,76,11) (-5/34,-1/7) -> (5/1,31/6) Hyperbolic Matrix(611,82,380,51) (-1/7,-2/15) -> (8/5,37/23) Hyperbolic Matrix(151,20,838,111) (-2/15,-3/23) -> (7/39,2/11) Hyperbolic Matrix(379,48,150,19) (-3/23,-1/8) -> (5/2,33/13) Hyperbolic Matrix(1427,172,224,27) (-1/8,-3/25) -> (19/3,51/8) Hyperbolic Matrix(1423,170,226,27) (-3/25,-2/17) -> (44/7,19/3) Hyperbolic Matrix(373,42,222,25) (-2/17,-1/9) -> (5/3,32/19) Hyperbolic Matrix(887,94,368,39) (-1/9,-1/10) -> (53/22,41/17) Hyperbolic Matrix(365,36,294,29) (-1/10,-1/11) -> (31/25,5/4) Hyperbolic Matrix(359,28,500,39) (-1/11,0/1) -> (28/39,51/71) Hyperbolic Matrix(479,-50,776,-81) (0/1,1/9) -> (29/47,50/81) Hyperbolic Matrix(1241,-144,474,-55) (1/9,1/8) -> (89/34,55/21) Hyperbolic Matrix(817,-108,174,-23) (1/8,2/15) -> (14/3,47/10) Hyperbolic Matrix(2381,-326,986,-135) (3/22,1/7) -> (99/41,29/12) Hyperbolic Matrix(459,-70,400,-61) (3/20,2/13) -> (8/7,23/20) Hyperbolic Matrix(1657,-258,456,-71) (2/13,3/19) -> (69/19,40/11) Hyperbolic Matrix(171,-28,226,-37) (3/19,1/6) -> (3/4,19/25) Hyperbolic Matrix(561,-98,956,-167) (1/6,3/17) -> (17/29,27/46) Hyperbolic Matrix(281,-50,1568,-279) (3/17,5/28) -> (5/28,7/39) Parabolic Matrix(279,-52,778,-145) (2/11,3/16) -> (5/14,14/39) Hyperbolic Matrix(721,-136,334,-63) (3/16,4/21) -> (28/13,13/6) Hyperbolic Matrix(2493,-478,4042,-775) (4/21,5/26) -> (37/60,66/107) Hyperbolic Matrix(2877,-556,1216,-235) (5/26,1/5) -> (97/41,71/30) Hyperbolic Matrix(983,-206,272,-57) (1/5,4/19) -> (18/5,47/13) Hyperbolic Matrix(435,-92,818,-173) (4/19,7/33) -> (9/17,8/15) Hyperbolic Matrix(817,-174,108,-23) (7/33,3/14) -> (15/2,23/3) Hyperbolic Matrix(705,-152,218,-47) (3/14,5/23) -> (29/9,13/4) Hyperbolic Matrix(109,-24,486,-107) (5/23,2/9) -> (2/9,7/31) Parabolic Matrix(5651,-1278,3984,-901) (7/31,12/53) -> (78/55,61/43) Hyperbolic Matrix(7425,-1682,3068,-695) (12/53,5/22) -> (121/50,46/19) Hyperbolic Matrix(1827,-416,1076,-245) (5/22,8/35) -> (56/33,17/10) Hyperbolic Matrix(267,-62,590,-137) (3/13,4/17) -> (14/31,5/11) Hyperbolic Matrix(801,-190,586,-139) (4/17,1/4) -> (41/30,26/19) Hyperbolic Matrix(157,-40,106,-27) (1/4,6/23) -> (22/15,3/2) Hyperbolic Matrix(1883,-492,1152,-301) (6/23,5/19) -> (67/41,18/11) Hyperbolic Matrix(731,-194,260,-69) (5/19,4/15) -> (14/5,31/11) Hyperbolic Matrix(365,-98,1352,-363) (4/15,7/26) -> (7/26,10/37) Parabolic Matrix(3937,-1080,2796,-767) (3/11,14/51) -> (38/27,69/49) Hyperbolic Matrix(3625,-996,1656,-455) (14/51,11/40) -> (35/16,46/21) Hyperbolic Matrix(1657,-456,258,-71) (11/40,8/29) -> (32/5,13/2) Hyperbolic Matrix(983,-272,206,-57) (8/29,5/18) -> (19/4,24/5) Hyperbolic Matrix(1753,-490,1084,-303) (5/18,7/25) -> (21/13,55/34) Hyperbolic Matrix(463,-130,1186,-333) (7/25,2/7) -> (16/41,9/23) Hyperbolic Matrix(409,-118,52,-15) (2/7,9/31) -> (23/3,8/1) Hyperbolic Matrix(1279,-372,306,-89) (9/31,7/24) -> (25/6,21/5) Hyperbolic Matrix(255,-76,406,-121) (5/17,3/10) -> (5/8,17/27) Hyperbolic Matrix(659,-200,860,-261) (3/10,7/23) -> (13/17,23/30) Hyperbolic Matrix(1871,-572,1364,-417) (11/36,4/13) -> (48/35,11/8) Hyperbolic Matrix(705,-218,152,-47) (4/13,5/16) -> (37/8,14/3) Hyperbolic Matrix(2211,-694,5776,-1813) (5/16,11/35) -> (31/81,49/128) Hyperbolic Matrix(1959,-616,1606,-505) (11/35,6/19) -> (50/41,11/9) Hyperbolic Matrix(1701,-542,1202,-383) (7/22,1/3) -> (75/53,17/12) Hyperbolic Matrix(489,-172,634,-223) (1/3,6/17) -> (10/13,27/35) Hyperbolic Matrix(731,-260,194,-69) (6/17,5/14) -> (15/4,34/9) Hyperbolic Matrix(2425,-874,874,-315) (9/25,13/36) -> (61/22,25/9) Hyperbolic Matrix(3005,-1086,1746,-631) (13/36,4/11) -> (74/43,31/18) Hyperbolic Matrix(5317,-1942,2998,-1095) (4/11,19/52) -> (39/22,94/53) Hyperbolic Matrix(5945,-2174,2174,-795) (19/52,15/41) -> (41/15,93/34) Hyperbolic Matrix(4397,-1610,6956,-2547) (15/41,26/71) -> (12/19,55/87) Hyperbolic Matrix(11013,-4034,3044,-1115) (26/71,11/30) -> (123/34,76/21) Hyperbolic Matrix(19695,-7232,7628,-2801) (47/128,18/49) -> (142/55,31/12) Hyperbolic Matrix(4343,-1596,5358,-1969) (18/49,25/68) -> (47/58,30/37) Hyperbolic Matrix(3667,-1350,1350,-497) (32/87,7/19) -> (19/7,106/39) Hyperbolic Matrix(145,-54,384,-143) (7/19,3/8) -> (3/8,11/29) Parabolic Matrix(479,-182,908,-345) (11/29,19/50) -> (1/2,9/17) Hyperbolic Matrix(7029,-2672,2870,-1091) (19/50,27/71) -> (71/29,49/20) Hyperbolic Matrix(5737,-2182,2248,-855) (27/71,8/21) -> (74/29,23/9) Hyperbolic Matrix(1577,-602,668,-255) (8/21,13/34) -> (33/14,26/11) Hyperbolic Matrix(11455,-4386,4056,-1553) (49/128,18/47) -> (48/17,113/40) Hyperbolic Matrix(2003,-768,1098,-421) (18/47,5/13) -> (31/17,42/23) Hyperbolic Matrix(523,-202,334,-129) (5/13,7/18) -> (25/16,11/7) Hyperbolic Matrix(2369,-930,996,-391) (9/23,11/28) -> (19/8,69/29) Hyperbolic Matrix(1735,-706,376,-153) (2/5,11/27) -> (23/5,60/13) Hyperbolic Matrix(985,-402,468,-191) (11/27,20/49) -> (2/1,19/9) Hyperbolic Matrix(6843,-2794,2530,-1033) (20/49,9/22) -> (119/44,46/17) Hyperbolic Matrix(795,-326,656,-269) (9/22,7/17) -> (23/19,17/14) Hyperbolic Matrix(1775,-732,468,-193) (7/17,19/46) -> (53/14,19/5) Hyperbolic Matrix(8127,-3358,1774,-733) (19/46,31/75) -> (87/19,55/12) Hyperbolic Matrix(2381,-986,326,-135) (12/29,29/70) -> (29/4,22/3) Hyperbolic Matrix(1679,-696,234,-97) (29/70,17/41) -> (7/1,29/4) Hyperbolic Matrix(6623,-2750,1958,-813) (22/53,5/12) -> (115/34,44/13) Hyperbolic Matrix(325,-136,466,-195) (5/12,8/19) -> (16/23,7/10) Hyperbolic Matrix(3621,-1528,2320,-979) (8/19,19/45) -> (39/25,64/41) Hyperbolic Matrix(20325,-8584,5614,-2371) (19/45,49/116) -> (181/50,105/29) Hyperbolic Matrix(21667,-9154,5986,-2529) (49/116,30/71) -> (76/21,181/50) Hyperbolic Matrix(2877,-1216,556,-235) (30/71,11/26) -> (31/6,26/5) Hyperbolic Matrix(1577,-668,602,-255) (11/26,3/7) -> (55/21,21/8) Hyperbolic Matrix(461,-200,1058,-459) (3/7,10/23) -> (10/23,17/39) Parabolic Matrix(7657,-3364,2110,-927) (18/41,29/66) -> (29/8,98/27) Hyperbolic Matrix(3163,-1390,3898,-1713) (29/66,11/25) -> (43/53,13/16) Hyperbolic Matrix(1421,-626,824,-363) (11/25,4/9) -> (50/29,19/11) Hyperbolic Matrix(273,-122,320,-143) (4/9,9/20) -> (17/20,6/7) Hyperbolic Matrix(1267,-580,1042,-477) (5/11,11/24) -> (17/14,45/37) Hyperbolic Matrix(721,-334,136,-63) (6/13,7/15) -> (37/7,16/3) Hyperbolic Matrix(2605,-1222,1618,-759) (7/15,8/17) -> (66/41,95/59) Hyperbolic Matrix(985,-468,402,-191) (8/17,1/2) -> (49/20,76/31) Hyperbolic Matrix(559,-300,300,-161) (8/15,7/13) -> (13/7,28/15) Hyperbolic Matrix(385,-208,472,-255) (7/13,6/11) -> (22/27,9/11) Hyperbolic Matrix(2003,-1098,768,-421) (6/11,17/31) -> (13/5,60/23) Hyperbolic Matrix(1233,-680,2000,-1103) (11/20,16/29) -> (8/13,37/60) Hyperbolic Matrix(765,-424,424,-235) (21/38,5/9) -> (9/5,47/26) Hyperbolic Matrix(5973,-3332,4322,-2411) (5/9,24/43) -> (76/55,123/89) Hyperbolic Matrix(2371,-1324,3304,-1845) (24/43,19/34) -> (33/46,28/39) Hyperbolic Matrix(7493,-4190,4190,-2343) (19/34,33/59) -> (59/33,93/52) Hyperbolic Matrix(4063,-2274,888,-497) (33/59,14/25) -> (32/7,87/19) Hyperbolic Matrix(8119,-4552,2242,-1257) (37/66,23/41) -> (105/29,29/8) Hyperbolic Matrix(6469,-3630,3762,-2111) (23/41,32/57) -> (98/57,43/25) Hyperbolic Matrix(169,-96,294,-167) (9/16,4/7) -> (4/7,15/26) Parabolic Matrix(7783,-4494,4560,-2633) (15/26,41/71) -> (29/17,99/58) Hyperbolic Matrix(6527,-3770,2384,-1377) (41/71,26/45) -> (52/19,63/23) Hyperbolic Matrix(7487,-4328,2216,-1281) (26/45,37/64) -> (27/8,98/29) Hyperbolic Matrix(2133,-1234,1630,-943) (37/64,11/19) -> (17/13,55/42) Hyperbolic Matrix(1421,-824,626,-363) (11/19,18/31) -> (34/15,25/11) Hyperbolic Matrix(3005,-1746,1086,-631) (18/31,25/43) -> (47/17,36/13) Hyperbolic Matrix(6469,-3762,3630,-2111) (25/43,32/55) -> (98/55,41/23) Hyperbolic Matrix(1665,-974,2624,-1535) (7/12,24/41) -> (26/41,33/52) Hyperbolic Matrix(20313,-11894,7868,-4607) (24/41,65/111) -> (111/43,142/55) Hyperbolic Matrix(19521,-11432,5162,-3023) (65/111,41/70) -> (121/32,87/23) Hyperbolic Matrix(5909,-3462,3330,-1951) (41/70,17/29) -> (55/31,71/40) Hyperbolic Matrix(1331,-782,914,-537) (27/46,10/17) -> (16/11,35/24) Hyperbolic Matrix(1827,-1076,416,-245) (10/17,23/39) -> (57/13,22/5) Hyperbolic Matrix(3237,-1910,1910,-1127) (23/39,13/22) -> (61/36,39/23) Hyperbolic Matrix(747,-442,1036,-613) (13/22,3/5) -> (31/43,13/18) Hyperbolic Matrix(205,-124,124,-75) (3/5,11/18) -> (23/14,5/3) Hyperbolic Matrix(1883,-1152,492,-301) (11/18,30/49) -> (42/11,23/6) Hyperbolic Matrix(6667,-4092,3762,-2309) (27/44,35/57) -> (101/57,39/22) Hyperbolic Matrix(7019,-4334,1958,-1209) (50/81,21/34) -> (43/12,104/29) Hyperbolic Matrix(1753,-1084,490,-303) (21/34,13/21) -> (25/7,43/12) Hyperbolic Matrix(897,-556,1018,-631) (13/21,31/50) -> (7/8,15/17) Hyperbolic Matrix(2605,-1618,1222,-759) (18/29,41/66) -> (17/8,32/15) Hyperbolic Matrix(7653,-4756,2116,-1315) (41/66,23/37) -> (47/13,123/34) Hyperbolic Matrix(6435,-4058,2672,-1685) (29/46,41/65) -> (65/27,53/22) Hyperbolic Matrix(5949,-3754,3358,-2119) (41/65,12/19) -> (62/35,101/57) Hyperbolic Matrix(8409,-5318,1820,-1151) (43/68,31/49) -> (97/21,37/8) Hyperbolic Matrix(3031,-1920,1656,-1049) (19/30,64/101) -> (64/35,11/6) Hyperbolic Matrix(9897,-6272,5414,-3431) (64/101,45/71) -> (53/29,64/35) Hyperbolic Matrix(3717,-2356,1696,-1075) (45/71,26/41) -> (46/21,11/5) Hyperbolic Matrix(523,-334,202,-129) (7/11,9/14) -> (31/12,13/5) Hyperbolic Matrix(1285,-828,762,-491) (9/14,20/31) -> (32/19,27/16) Hyperbolic Matrix(5091,-3290,2366,-1529) (42/65,11/17) -> (71/33,28/13) Hyperbolic Matrix(521,-338,800,-519) (11/17,13/20) -> (13/20,15/23) Parabolic Matrix(157,-106,40,-27) (2/3,13/19) -> (27/7,4/1) Hyperbolic Matrix(901,-618,156,-107) (13/19,11/16) -> (23/4,29/5) Hyperbolic Matrix(2181,-1516,856,-595) (25/36,16/23) -> (28/11,51/20) Hyperbolic Matrix(4185,-2944,2944,-2071) (45/64,19/27) -> (27/19,91/64) Hyperbolic Matrix(10841,-7640,4142,-2919) (31/44,43/61) -> (123/47,89/34) Hyperbolic Matrix(5149,-3630,1122,-791) (43/61,12/17) -> (78/17,23/5) Hyperbolic Matrix(1701,-1202,542,-383) (12/17,41/58) -> (25/8,22/7) Hyperbolic Matrix(1199,-848,386,-273) (41/58,29/41) -> (3/1,25/8) Hyperbolic Matrix(8115,-5744,4754,-3365) (46/65,17/24) -> (99/58,70/41) Hyperbolic Matrix(733,-520,850,-603) (17/24,22/31) -> (6/7,19/22) Hyperbolic Matrix(3937,-2796,1080,-767) (22/31,27/38) -> (51/14,62/17) Hyperbolic Matrix(425,-302,38,-27) (27/38,5/7) -> (11/1,1/0) Hyperbolic Matrix(1843,-1326,1458,-1049) (23/32,18/25) -> (24/19,43/34) Hyperbolic Matrix(1727,-1244,1112,-801) (18/25,31/43) -> (45/29,14/9) Hyperbolic Matrix(8695,-6288,4902,-3545) (47/65,34/47) -> (94/53,55/31) Hyperbolic Matrix(5973,-4322,3332,-2411) (34/47,55/76) -> (43/24,52/29) Hyperbolic Matrix(9495,-6872,3638,-2633) (55/76,21/29) -> (107/41,47/18) Hyperbolic Matrix(2793,-2026,1300,-943) (29/40,37/51) -> (15/7,43/20) Hyperbolic Matrix(1797,-1304,842,-611) (37/51,8/11) -> (32/15,15/7) Hyperbolic Matrix(1871,-1364,572,-417) (8/11,27/37) -> (49/15,36/11) Hyperbolic Matrix(2975,-2172,1908,-1393) (27/37,19/26) -> (53/34,39/25) Hyperbolic Matrix(801,-586,190,-139) (19/26,11/15) -> (21/5,17/4) Hyperbolic Matrix(533,-392,722,-531) (11/15,14/19) -> (14/19,17/23) Parabolic Matrix(4119,-3142,898,-685) (16/21,29/38) -> (55/12,78/17) Hyperbolic Matrix(2319,-1772,1310,-1001) (29/38,13/17) -> (23/13,85/48) Hyperbolic Matrix(1081,-834,372,-287) (27/35,44/57) -> (26/9,3/1) Hyperbolic Matrix(2865,-2216,3536,-2735) (17/22,41/53) -> (17/21,47/58) Hyperbolic Matrix(333,-260,260,-203) (7/9,11/14) -> (23/18,9/7) Hyperbolic Matrix(1071,-844,184,-145) (26/33,15/19) -> (29/5,6/1) Hyperbolic Matrix(1843,-1458,1326,-1049) (15/19,19/24) -> (25/18,57/41) Hyperbolic Matrix(1533,-1240,1240,-1003) (21/26,17/21) -> (21/17,47/38) Hyperbolic Matrix(3935,-3192,948,-769) (30/37,43/53) -> (29/7,54/13) Hyperbolic Matrix(1959,-1606,616,-505) (9/11,32/39) -> (54/17,35/11) Hyperbolic Matrix(9715,-7974,7974,-6545) (32/39,55/67) -> (67/55,106/87) Hyperbolic Matrix(1267,-1042,580,-477) (23/28,14/17) -> (24/11,35/16) Hyperbolic Matrix(795,-656,326,-269) (14/17,5/6) -> (39/16,22/9) Hyperbolic Matrix(609,-514,250,-211) (5/6,11/13) -> (17/7,39/16) Hyperbolic Matrix(2891,-2456,1070,-909) (28/33,17/20) -> (27/10,100/37) Hyperbolic Matrix(673,-582,318,-275) (19/22,13/15) -> (19/9,17/8) Hyperbolic Matrix(459,-400,70,-61) (13/15,7/8) -> (13/2,33/5) Hyperbolic Matrix(1753,-1548,1086,-959) (15/17,8/9) -> (92/57,21/13) Hyperbolic Matrix(381,-344,278,-251) (8/9,1/1) -> (37/27,48/35) Hyperbolic Matrix(405,-454,124,-139) (1/1,9/8) -> (13/4,49/15) Hyperbolic Matrix(897,-1018,556,-631) (9/8,8/7) -> (50/31,71/44) Hyperbolic Matrix(733,-850,520,-603) (15/13,7/6) -> (31/22,55/39) Hyperbolic Matrix(273,-320,122,-143) (7/6,13/11) -> (29/13,9/4) Hyperbolic Matrix(181,-216,150,-179) (13/11,6/5) -> (6/5,23/19) Parabolic Matrix(3573,-4348,982,-1195) (45/37,28/23) -> (40/11,91/25) Hyperbolic Matrix(18803,-22910,6872,-8373) (106/87,39/32) -> (197/72,52/19) Hyperbolic Matrix(385,-472,208,-255) (11/9,16/13) -> (24/13,13/7) Hyperbolic Matrix(3163,-3898,1390,-1713) (16/13,37/30) -> (91/40,66/29) Hyperbolic Matrix(4343,-5358,1596,-1969) (37/30,21/17) -> (117/43,49/18) Hyperbolic Matrix(3245,-4014,384,-475) (47/38,73/59) -> (59/7,17/2) Hyperbolic Matrix(3717,-4600,442,-547) (73/59,26/21) -> (42/5,59/7) Hyperbolic Matrix(1019,-1292,698,-885) (19/15,33/26) -> (35/24,19/13) Hyperbolic Matrix(2147,-2738,1682,-2145) (14/11,37/29) -> (37/29,60/47) Parabolic Matrix(4777,-6178,1756,-2271) (53/41,22/17) -> (68/25,117/43) Hyperbolic Matrix(489,-634,172,-223) (22/17,13/10) -> (17/6,20/7) Hyperbolic Matrix(659,-860,200,-261) (13/10,17/13) -> (23/7,33/10) Hyperbolic Matrix(11515,-15082,4258,-5577) (55/42,38/29) -> (192/71,119/44) Hyperbolic Matrix(1741,-2284,1228,-1611) (38/29,21/16) -> (17/12,78/55) Hyperbolic Matrix(171,-226,28,-37) (21/16,4/3) -> (6/1,25/4) Hyperbolic Matrix(533,-722,392,-531) (4/3,19/14) -> (19/14,34/25) Parabolic Matrix(1535,-2096,446,-609) (15/11,41/30) -> (55/16,31/9) Hyperbolic Matrix(3091,-4234,1198,-1641) (26/19,37/27) -> (49/19,80/31) Hyperbolic Matrix(1833,-2524,1138,-1567) (11/8,51/37) -> (95/59,29/18) Hyperbolic Matrix(3219,-4438,610,-841) (51/37,40/29) -> (58/11,37/7) Hyperbolic Matrix(3797,-5246,2078,-2871) (29/21,76/55) -> (42/23,53/29) Hyperbolic Matrix(2659,-3676,970,-1341) (47/34,65/47) -> (63/23,11/4) Hyperbolic Matrix(747,-1036,442,-613) (18/13,25/18) -> (27/16,22/13) Hyperbolic Matrix(2371,-3304,1324,-1845) (39/28,7/5) -> (77/43,43/24) Hyperbolic Matrix(2167,-3046,604,-849) (7/5,38/27) -> (104/29,61/17) Hyperbolic Matrix(3423,-4828,1396,-1969) (55/39,24/17) -> (76/31,27/11) Hyperbolic Matrix(1943,-2744,1094,-1545) (24/17,65/46) -> (71/40,16/9) Hyperbolic Matrix(4757,-6728,3362,-4755) (41/29,58/41) -> (58/41,75/53) Parabolic Matrix(1119,-1588,136,-193) (61/43,44/31) -> (8/1,25/3) Hyperbolic Matrix(4387,-6238,2344,-3333) (91/64,64/45) -> (58/31,15/8) Hyperbolic Matrix(325,-466,136,-195) (10/7,13/9) -> (31/13,12/5) Hyperbolic Matrix(5519,-8076,1608,-2353) (19/13,60/41) -> (24/7,127/37) Hyperbolic Matrix(521,-800,338,-519) (3/2,20/13) -> (20/13,37/24) Parabolic Matrix(3549,-5492,674,-1043) (17/11,65/42) -> (21/4,79/15) Hyperbolic Matrix(7097,-11054,2606,-4059) (14/9,67/43) -> (177/65,128/47) Hyperbolic Matrix(7069,-11016,2502,-3899) (67/43,53/34) -> (113/40,65/23) Hyperbolic Matrix(1665,-2624,974,-1535) (11/7,41/26) -> (41/24,53/31) Hyperbolic Matrix(4661,-7352,1280,-2019) (41/26,71/45) -> (91/25,51/14) Hyperbolic Matrix(14363,-22664,5504,-8685) (71/45,101/64) -> (167/64,107/41) Hyperbolic Matrix(7013,-11070,2688,-4243) (101/64,30/19) -> (60/23,167/64) Hyperbolic Matrix(3119,-4932,972,-1537) (49/31,68/43) -> (16/5,61/19) Hyperbolic Matrix(4397,-6956,1610,-2547) (68/43,19/12) -> (71/26,112/41) Hyperbolic Matrix(255,-406,76,-121) (19/12,8/5) -> (10/3,27/8) Hyperbolic Matrix(987,-1588,202,-325) (37/23,66/41) -> (34/7,5/1) Hyperbolic Matrix(10429,-16830,3762,-6071) (71/44,92/57) -> (158/57,61/22) Hyperbolic Matrix(781,-1264,76,-123) (89/55,34/21) -> (10/1,11/1) Hyperbolic Matrix(479,-776,50,-81) (34/21,47/29) -> (9/1,10/1) Hyperbolic Matrix(1233,-2000,680,-1103) (47/29,13/8) -> (29/16,49/27) Hyperbolic Matrix(5347,-8710,1582,-2577) (57/35,44/27) -> (98/29,71/21) Hyperbolic Matrix(2051,-3362,1250,-2049) (18/11,41/25) -> (41/25,64/39) Parabolic Matrix(1911,-3236,662,-1121) (22/13,83/49) -> (49/17,26/9) Hyperbolic Matrix(2891,-4898,1004,-1701) (83/49,61/36) -> (23/8,49/17) Hyperbolic Matrix(561,-956,98,-167) (17/10,29/17) -> (17/3,23/4) Hyperbolic Matrix(7995,-13652,2828,-4829) (70/41,111/65) -> (65/23,82/29) Hyperbolic Matrix(7433,-12696,2730,-4663) (111/65,41/24) -> (49/18,177/65) Hyperbolic Matrix(7985,-13728,2112,-3631) (55/32,98/57) -> (34/9,121/32) Hyperbolic Matrix(169,-294,96,-167) (19/11,7/4) -> (7/4,23/13) Parabolic Matrix(4311,-7636,1762,-3121) (85/48,62/35) -> (22/9,93/38) Hyperbolic Matrix(3559,-6340,1258,-2241) (57/32,98/55) -> (82/29,17/6) Hyperbolic Matrix(2513,-4482,522,-931) (41/23,66/37) -> (24/5,53/11) Hyperbolic Matrix(5043,-9014,2084,-3725) (25/14,59/33) -> (75/31,121/50) Hyperbolic Matrix(16213,-28998,5964,-10667) (93/52,127/71) -> (193/71,87/32) Hyperbolic Matrix(11193,-20024,4118,-7367) (127/71,34/19) -> (106/39,193/71) Hyperbolic Matrix(13021,-23544,2820,-5099) (47/26,85/47) -> (217/47,157/34) Hyperbolic Matrix(7377,-13346,1598,-2891) (85/47,38/21) -> (60/13,217/47) Hyperbolic Matrix(1219,-2214,234,-425) (49/27,20/11) -> (26/5,47/9) Hyperbolic Matrix(1979,-3698,1058,-1977) (28/15,43/23) -> (43/23,58/31) Parabolic Matrix(435,-818,92,-173) (15/8,2/1) -> (52/11,19/4) Hyperbolic Matrix(267,-590,62,-137) (11/5,20/9) -> (30/7,13/3) Hyperbolic Matrix(2087,-4646,818,-1821) (20/9,49/22) -> (51/20,74/29) Hyperbolic Matrix(4293,-9764,1250,-2843) (25/11,91/40) -> (103/30,79/23) Hyperbolic Matrix(2055,-4678,322,-733) (66/29,41/18) -> (51/8,32/5) Hyperbolic Matrix(461,-1058,200,-459) (16/7,23/10) -> (23/10,30/13) Parabolic Matrix(177,-416,20,-47) (7/3,33/14) -> (17/2,9/1) Hyperbolic Matrix(3881,-9186,804,-1903) (71/30,116/49) -> (82/17,29/6) Hyperbolic Matrix(4155,-9838,862,-2041) (116/49,45/19) -> (53/11,82/17) Hyperbolic Matrix(1665,-3946,646,-1531) (45/19,19/8) -> (67/26,49/19) Hyperbolic Matrix(4433,-10550,1640,-3903) (69/29,50/21) -> (100/37,73/27) Hyperbolic Matrix(4061,-9800,1682,-4059) (41/17,70/29) -> (70/29,99/41) Parabolic Matrix(925,-2242,328,-795) (46/19,17/7) -> (31/11,48/17) Hyperbolic Matrix(15641,-38282,4556,-11151) (93/38,164/67) -> (230/67,103/30) Hyperbolic Matrix(15179,-37158,4422,-10825) (164/67,71/29) -> (127/37,230/67) Hyperbolic Matrix(553,-1360,172,-423) (27/11,5/2) -> (45/14,29/9) Hyperbolic Matrix(463,-1186,130,-333) (23/9,18/7) -> (32/9,25/7) Hyperbolic Matrix(8717,-22500,2304,-5947) (80/31,111/43) -> (87/23,140/37) Hyperbolic Matrix(2211,-5776,694,-1813) (47/18,81/31) -> (35/11,51/16) Hyperbolic Matrix(2299,-6016,274,-717) (34/13,123/47) -> (25/3,42/5) Hyperbolic Matrix(145,-384,54,-143) (21/8,8/3) -> (8/3,27/10) Parabolic Matrix(11333,-30644,2726,-7371) (73/27,265/98) -> (133/32,79/19) Hyperbolic Matrix(14735,-39846,3546,-9589) (265/98,192/71) -> (54/13,133/32) Hyperbolic Matrix(925,-2506,196,-531) (46/17,19/7) -> (33/7,52/11) Hyperbolic Matrix(1203,-3284,248,-677) (30/11,71/26) -> (29/6,34/7) Hyperbolic Matrix(15371,-42050,5618,-15369) (93/34,145/53) -> (145/53,197/72) Parabolic Matrix(6791,-18818,2450,-6789) (36/13,97/35) -> (97/35,158/57) Parabolic Matrix(279,-778,52,-145) (25/9,14/5) -> (16/3,27/5) Hyperbolic Matrix(2505,-7988,662,-2111) (51/16,16/5) -> (140/37,53/14) Hyperbolic Matrix(4341,-13942,940,-3019) (61/19,45/14) -> (157/34,97/21) Hyperbolic Matrix(489,-1688,104,-359) (31/9,7/2) -> (47/10,33/7) Hyperbolic Matrix(365,-1352,98,-363) (11/3,26/7) -> (26/7,41/11) Parabolic Matrix(1755,-6758,422,-1625) (77/20,27/7) -> (79/19,25/6) Hyperbolic Matrix(109,-486,24,-107) (22/5,9/2) -> (9/2,32/7) Parabolic Matrix(281,-1568,50,-279) (11/2,28/5) -> (28/5,45/8) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,62,1) Matrix(883,422,634,303) -> Matrix(125,-2,1688,-27) Matrix(501,236,622,293) -> Matrix(123,-2,2276,-37) Matrix(619,290,1492,699) -> Matrix(1,0,-38,1) Matrix(1725,802,1112,517) -> Matrix(355,-6,4556,-77) Matrix(1967,912,2586,1199) -> Matrix(111,-2,2054,-37) Matrix(4915,2276,1354,627) -> Matrix(125,-2,938,-15) Matrix(243,112,614,283) -> Matrix(119,-2,2678,-45) Matrix(2073,952,368,169) -> Matrix(355,-6,1716,-29) Matrix(607,278,976,447) -> Matrix(1,0,-38,1) Matrix(601,272,-3374,-1527) -> Matrix(235,-4,9224,-157) Matrix(6267,2834,8914,4031) -> Matrix(701,-12,13728,-235) Matrix(2891,1306,1202,543) -> Matrix(1,0,-48,1) Matrix(483,218,-2528,-1141) -> Matrix(117,-2,4622,-79) Matrix(2641,1190,2044,921) -> Matrix(117,-2,1580,-27) Matrix(1079,484,836,375) -> Matrix(115,-2,1668,-29) Matrix(1555,696,954,427) -> Matrix(229,-4,2920,-51) Matrix(1303,576,1536,679) -> Matrix(117,-2,2048,-35) Matrix(589,260,-2834,-1251) -> Matrix(229,-4,9332,-163) Matrix(1769,780,474,209) -> Matrix(457,-8,3142,-55) Matrix(2119,932,1180,519) -> Matrix(227,-4,2554,-45) Matrix(5179,2276,826,363) -> Matrix(113,-2,170,-3) Matrix(469,206,-3176,-1395) -> Matrix(113,-2,4238,-75) Matrix(589,258,468,205) -> Matrix(1,0,-42,1) Matrix(1403,612,2226,971) -> Matrix(111,-2,2276,-41) Matrix(583,254,1990,867) -> Matrix(115,-2,2818,-49) Matrix(2213,960,1284,557) -> Matrix(111,-2,1388,-25) Matrix(351,152,-2330,-1009) -> Matrix(225,-4,8494,-151) Matrix(1395,602,1972,851) -> Matrix(337,-6,6684,-119) Matrix(2525,1074,576,245) -> Matrix(111,-2,722,-13) Matrix(457,194,-2636,-1119) -> Matrix(331,-6,12854,-233) Matrix(1491,632,2404,1019) -> Matrix(111,-2,2276,-41) Matrix(3661,1548,4458,1885) -> Matrix(335,-6,6086,-109) Matrix(8461,3576,13716,5797) -> Matrix(1,0,-34,1) Matrix(2741,1158,6630,2801) -> Matrix(223,-4,4962,-89) Matrix(911,384,-2166,-913) -> Matrix(331,-6,18150,-329) Matrix(10243,4304,14572,6123) -> Matrix(217,-4,4286,-79) Matrix(5237,2200,1364,573) -> Matrix(219,-4,1588,-29) Matrix(1591,668,-6938,-2913) -> Matrix(109,-2,4742,-87) Matrix(4665,1958,2728,1145) -> Matrix(1,0,-42,1) Matrix(797,334,-2842,-1191) -> Matrix(109,-2,4742,-87) Matrix(1587,664,1250,523) -> Matrix(111,-2,1610,-29) Matrix(1809,752,3274,1361) -> Matrix(109,-2,2126,-39) Matrix(11173,4640,5194,2157) -> Matrix(437,-8,4534,-83) Matrix(9253,3842,6322,2625) -> Matrix(217,-4,2984,-55) Matrix(1581,656,-5078,-2107) -> Matrix(325,-6,14896,-275) Matrix(2481,1028,6760,2801) -> Matrix(433,-8,10338,-191) Matrix(227,94,1688,699) -> Matrix(323,-6,9098,-169) Matrix(1239,512,1798,743) -> Matrix(1,0,-36,1) Matrix(4611,1904,2584,1067) -> Matrix(113,-2,1300,-23) Matrix(1459,602,-6740,-2781) -> Matrix(219,-4,9034,-165) Matrix(783,322,338,139) -> Matrix(325,-6,3196,-59) Matrix(1117,458,1456,597) -> Matrix(323,-6,5868,-109) Matrix(2005,818,1228,501) -> Matrix(111,-2,1388,-25) Matrix(1225,498,888,361) -> Matrix(1,0,-40,1) Matrix(763,300,1086,427) -> Matrix(209,-4,4128,-79) Matrix(1305,512,2062,809) -> Matrix(103,-2,2112,-41) Matrix(2383,932,652,255) -> Matrix(211,-4,1530,-29) Matrix(4223,1650,11484,4487) -> Matrix(1049,-20,24704,-471) Matrix(3899,1522,1514,591) -> Matrix(209,-4,2038,-39) Matrix(755,294,-1944,-757) -> Matrix(417,-8,21632,-415) Matrix(8413,3264,6900,2677) -> Matrix(829,-16,12176,-235) Matrix(11859,4600,3452,1339) -> Matrix(207,-4,1708,-33) Matrix(2477,960,756,293) -> Matrix(103,-2,876,-17) Matrix(5061,1958,1936,749) -> Matrix(1,0,-42,1) Matrix(1397,540,3552,1373) -> Matrix(103,-2,2318,-45) Matrix(2905,1122,3762,1453) -> Matrix(103,-2,1906,-37) Matrix(109,42,750,289) -> Matrix(105,-2,2888,-55) Matrix(323,124,-1180,-453) -> Matrix(103,-2,4584,-89) Matrix(1819,696,426,163) -> Matrix(205,-4,1384,-27) Matrix(7159,2736,11322,4327) -> Matrix(205,-4,4254,-83) Matrix(10255,3918,7368,2815) -> Matrix(717,-14,9782,-191) Matrix(6833,2610,4914,1877) -> Matrix(411,-8,5600,-109) Matrix(959,366,2670,1019) -> Matrix(103,-2,2318,-45) Matrix(747,284,2554,971) -> Matrix(205,-4,5074,-99) Matrix(1169,444,2130,809) -> Matrix(1,0,-30,1) Matrix(533,202,-2446,-927) -> Matrix(103,-2,4172,-81) Matrix(2121,802,320,121) -> Matrix(307,-6,1484,-29) Matrix(1801,680,1168,441) -> Matrix(1123,-22,14548,-285) Matrix(947,352,1364,507) -> Matrix(101,-2,2172,-43) Matrix(943,350,1366,507) -> Matrix(101,-2,1768,-35) Matrix(1363,504,1674,619) -> Matrix(1,0,-32,1) Matrix(731,270,2304,851) -> Matrix(199,-4,4826,-97) Matrix(5543,2046,8580,3167) -> Matrix(199,-4,4030,-81) Matrix(1047,386,1462,539) -> Matrix(203,-4,3908,-77) Matrix(7097,2610,4386,1613) -> Matrix(403,-8,5088,-101) Matrix(419,154,2816,1035) -> Matrix(301,-6,8378,-167) Matrix(1357,498,624,229) -> Matrix(1,0,-40,1) Matrix(1457,534,2502,917) -> Matrix(201,-4,3970,-79) Matrix(2813,1030,4580,1677) -> Matrix(401,-8,8772,-175) Matrix(1559,570,1146,419) -> Matrix(1101,-22,15364,-307) Matrix(725,262,1652,597) -> Matrix(1,0,-28,1) Matrix(1343,484,308,111) -> Matrix(99,-2,644,-13) Matrix(723,260,-2372,-853) -> Matrix(99,-2,4604,-93) Matrix(721,258,204,73) -> Matrix(1,0,-42,1) Matrix(1227,436,1742,619) -> Matrix(99,-2,1832,-37) Matrix(2659,942,3678,1303) -> Matrix(197,-4,3694,-75) Matrix(921,326,-4088,-1447) -> Matrix(197,-4,8028,-163) Matrix(711,250,-3154,-1109) -> Matrix(293,-6,12062,-247) Matrix(3153,1106,1930,677) -> Matrix(877,-18,11060,-227) Matrix(1113,388,1724,601) -> Matrix(95,-2,1948,-41) Matrix(1211,418,704,243) -> Matrix(95,-2,1188,-25) Matrix(1067,340,386,123) -> Matrix(1,0,-38,1) Matrix(1645,522,1062,337) -> Matrix(283,-6,3632,-77) Matrix(1831,576,480,151) -> Matrix(93,-2,512,-11) Matrix(479,150,-1536,-481) -> Matrix(369,-8,16928,-367) Matrix(3447,1072,2492,775) -> Matrix(1,0,-32,1) Matrix(1627,504,1146,355) -> Matrix(1,0,-32,1) Matrix(667,204,1710,523) -> Matrix(1,0,-22,1) Matrix(3517,1074,2754,841) -> Matrix(83,-2,1204,-29) Matrix(283,86,1234,375) -> Matrix(93,-2,2372,-51) Matrix(1513,458,664,201) -> Matrix(275,-6,2796,-61) Matrix(281,84,378,113) -> Matrix(181,-4,3394,-75) Matrix(4129,1226,2536,753) -> Matrix(89,-2,1202,-27) Matrix(2253,668,1312,389) -> Matrix(357,-8,4418,-99) Matrix(561,166,1220,361) -> Matrix(89,-2,1914,-43) Matrix(2527,746,376,111) -> Matrix(1,0,-40,1) Matrix(4027,1188,1122,331) -> Matrix(1,0,-38,1) Matrix(6353,1864,3548,1041) -> Matrix(179,-4,2014,-45) Matrix(7659,2246,4948,1451) -> Matrix(1153,-26,14856,-335) Matrix(2055,602,652,191) -> Matrix(265,-6,2076,-47) Matrix(1027,300,558,163) -> Matrix(177,-4,2080,-47) Matrix(1211,352,836,243) -> Matrix(85,-2,1148,-27) Matrix(1767,512,742,215) -> Matrix(1,0,-36,1) Matrix(183,52,278,79) -> Matrix(89,-2,1736,-39) Matrix(1377,388,1196,337) -> Matrix(87,-2,1436,-33) Matrix(3761,1056,2112,593) -> Matrix(89,-2,1024,-23) Matrix(1833,512,1006,281) -> Matrix(87,-2,1088,-25) Matrix(2195,612,642,179) -> Matrix(87,-2,740,-17) Matrix(1003,278,184,51) -> Matrix(1,0,-38,1) Matrix(3465,958,2738,757) -> Matrix(173,-4,2552,-59) Matrix(6291,1738,8756,2419) -> Matrix(515,-12,9828,-229) Matrix(12949,3576,4740,1309) -> Matrix(1,0,-34,1) Matrix(821,226,1820,501) -> Matrix(1,0,-20,1) Matrix(3733,1026,2274,625) -> Matrix(71,-2,888,-25) Matrix(633,172,92,25) -> Matrix(87,-2,392,-9) Matrix(1811,490,632,171) -> Matrix(87,-2,740,-17) Matrix(2985,806,1174,317) -> Matrix(87,-2,740,-17) Matrix(1625,438,4248,1145) -> Matrix(83,-2,1868,-45) Matrix(633,170,2074,557) -> Matrix(87,-2,2132,-49) Matrix(359,96,-1350,-361) -> Matrix(87,-2,3698,-85) Matrix(2603,690,630,167) -> Matrix(85,-2,638,-15) Matrix(3413,904,1076,285) -> Matrix(169,-4,1310,-31) Matrix(3501,926,2242,593) -> Matrix(87,-2,1088,-25) Matrix(9507,2510,3496,923) -> Matrix(79,-2,672,-17) Matrix(5557,1466,3946,1041) -> Matrix(1,0,-32,1) Matrix(1697,444,1074,281) -> Matrix(1,0,-30,1) Matrix(891,232,626,163) -> Matrix(85,-2,1148,-27) Matrix(693,166,956,229) -> Matrix(85,-2,1658,-39) Matrix(953,226,1556,369) -> Matrix(1,0,-20,1) Matrix(861,202,260,61) -> Matrix(85,-2,638,-15) Matrix(601,140,1378,321) -> Matrix(169,-4,3676,-87) Matrix(2229,512,1798,413) -> Matrix(79,-2,1146,-29) Matrix(1967,450,3510,803) -> Matrix(83,-2,1868,-45) Matrix(1367,312,942,215) -> Matrix(81,-2,1094,-27) Matrix(1279,290,172,39) -> Matrix(1,0,-38,1) Matrix(5117,1158,1878,425) -> Matrix(167,-4,1378,-33) Matrix(8853,1990,2300,517) -> Matrix(245,-6,1756,-43) Matrix(9873,2218,1874,421) -> Matrix(161,-4,926,-23) Matrix(2465,552,1362,305) -> Matrix(1,0,-28,1) Matrix(931,204,1182,259) -> Matrix(1,0,-22,1) Matrix(1519,332,2704,591) -> Matrix(1,0,-20,1) Matrix(1179,256,1856,403) -> Matrix(1,0,-22,1) Matrix(3537,766,4382,949) -> Matrix(497,-12,9236,-223) Matrix(251,54,-1176,-253) -> Matrix(165,-4,6724,-163) Matrix(3687,784,2516,535) -> Matrix(163,-4,2160,-53) Matrix(9301,1976,6538,1389) -> Matrix(163,-4,2160,-53) Matrix(4857,1028,2008,425) -> Matrix(321,-8,3170,-79) Matrix(3935,832,752,159) -> Matrix(81,-2,446,-11) Matrix(3261,688,2678,565) -> Matrix(165,-4,2434,-59) Matrix(1751,366,1086,227) -> Matrix(83,-2,1038,-25) Matrix(9075,1882,3332,691) -> Matrix(325,-8,2722,-67) Matrix(1411,290,832,171) -> Matrix(1,0,-28,1) Matrix(1391,270,984,191) -> Matrix(159,-4,2266,-57) Matrix(3105,596,1714,329) -> Matrix(79,-2,988,-25) Matrix(733,138,324,61) -> Matrix(159,-4,1630,-41) Matrix(1379,256,404,75) -> Matrix(79,-2,672,-17) Matrix(1375,254,406,75) -> Matrix(79,-2,514,-13) Matrix(321,58,404,73) -> Matrix(79,-2,1462,-37) Matrix(6263,1114,2648,471) -> Matrix(77,-2,732,-19) Matrix(2567,456,3372,599) -> Matrix(159,-4,2902,-73) Matrix(8425,1494,6096,1081) -> Matrix(787,-20,10900,-277) Matrix(239,42,882,155) -> Matrix(391,-10,9736,-249) Matrix(2871,496,7820,1351) -> Matrix(619,-16,14740,-381) Matrix(1595,274,716,123) -> Matrix(77,-2,886,-23) Matrix(627,100,1022,163) -> Matrix(77,-2,1656,-43) Matrix(547,86,706,111) -> Matrix(77,-2,1348,-35) Matrix(1325,202,1712,261) -> Matrix(303,-8,5492,-145) Matrix(2489,376,4508,681) -> Matrix(151,-4,3058,-81) Matrix(6825,1018,2018,301) -> Matrix(151,-4,944,-25) Matrix(5735,852,4032,599) -> Matrix(301,-8,4026,-107) Matrix(387,56,76,11) -> Matrix(75,-2,488,-13) Matrix(611,82,380,51) -> Matrix(223,-6,2862,-77) Matrix(151,20,838,111) -> Matrix(519,-14,13976,-377) Matrix(379,48,150,19) -> Matrix(147,-4,1360,-37) Matrix(1427,172,224,27) -> Matrix(73,-2,694,-19) Matrix(1423,170,226,27) -> Matrix(73,-2,-36,1) Matrix(373,42,222,25) -> Matrix(73,-2,840,-23) Matrix(887,94,368,39) -> Matrix(215,-6,2186,-61) Matrix(365,36,294,29) -> Matrix(143,-4,2038,-57) Matrix(359,28,500,39) -> Matrix(209,-6,4006,-115) Matrix(479,-50,776,-81) -> Matrix(173,-6,3662,-127) Matrix(1241,-144,474,-55) -> Matrix(343,-12,3230,-113) Matrix(817,-108,174,-23) -> Matrix(169,-6,986,-35) Matrix(2381,-326,986,-135) -> Matrix(729,-26,7262,-259) Matrix(459,-70,400,-61) -> Matrix(55,-2,908,-33) Matrix(1657,-258,456,-71) -> Matrix(221,-8,1630,-59) Matrix(171,-28,226,-37) -> Matrix(109,-4,2044,-75) Matrix(561,-98,956,-167) -> Matrix(163,-6,3396,-125) Matrix(281,-50,1568,-279) -> Matrix(973,-36,26244,-971) Matrix(279,-52,778,-145) -> Matrix(107,-4,2488,-93) Matrix(721,-136,334,-63) -> Matrix(213,-8,2210,-83) Matrix(2493,-478,4042,-775) -> Matrix(53,-2,1140,-43) Matrix(2877,-556,1216,-235) -> Matrix(215,-8,1962,-73) Matrix(983,-206,272,-57) -> Matrix(53,-2,398,-15) Matrix(435,-92,818,-173) -> Matrix(53,-2,1034,-39) Matrix(817,-174,108,-23) -> Matrix(105,-4,394,-15) Matrix(705,-152,218,-47) -> Matrix(105,-4,814,-31) Matrix(109,-24,486,-107) -> Matrix(261,-10,6760,-259) Matrix(5651,-1278,3984,-901) -> Matrix(723,-28,9838,-381) Matrix(7425,-1682,3068,-695) -> Matrix(1289,-50,12658,-491) Matrix(1827,-416,1076,-245) -> Matrix(103,-4,1262,-49) Matrix(267,-62,590,-137) -> Matrix(51,-2,1148,-45) Matrix(801,-190,586,-139) -> Matrix(157,-6,2172,-83) Matrix(157,-40,106,-27) -> Matrix(1,0,-12,1) Matrix(1883,-492,1152,-301) -> Matrix(305,-12,3838,-151) Matrix(731,-194,260,-69) -> Matrix(151,-6,1334,-53) Matrix(365,-98,1352,-363) -> Matrix(601,-24,15000,-599) Matrix(3937,-1080,2796,-767) -> Matrix(99,-4,1114,-45) Matrix(3625,-996,1656,-455) -> Matrix(493,-20,5004,-203) Matrix(1657,-456,258,-71) -> Matrix(49,-2,368,-15) Matrix(983,-272,206,-57) -> Matrix(99,-4,520,-21) Matrix(1753,-490,1084,-303) -> Matrix(51,-2,638,-25) Matrix(463,-130,1186,-333) -> Matrix(49,-2,1152,-47) Matrix(409,-118,52,-15) -> Matrix(49,-2,172,-7) Matrix(1279,-372,306,-89) -> Matrix(1,0,-18,1) Matrix(255,-76,406,-121) -> Matrix(1,0,-4,1) Matrix(659,-200,860,-261) -> Matrix(47,-2,870,-37) Matrix(1871,-572,1364,-417) -> Matrix(145,-6,2006,-83) Matrix(705,-218,152,-47) -> Matrix(49,-2,270,-11) Matrix(2211,-694,5776,-1813) -> Matrix(439,-18,9780,-401) Matrix(1959,-616,1606,-505) -> Matrix(195,-8,2852,-117) Matrix(1701,-542,1202,-383) -> Matrix(289,-12,4022,-167) Matrix(489,-172,634,-223) -> Matrix(47,-2,870,-37) Matrix(731,-260,194,-69) -> Matrix(93,-4,628,-27) Matrix(2425,-874,874,-315) -> Matrix(1,0,-14,1) Matrix(3005,-1086,1746,-631) -> Matrix(95,-4,1164,-49) Matrix(5317,-1942,2998,-1095) -> Matrix(89,-4,1046,-47) Matrix(5945,-2174,2174,-795) -> Matrix(51,-2,434,-17) Matrix(4397,-1610,6956,-2547) -> Matrix(1,0,-4,1) Matrix(11013,-4034,3044,-1115) -> Matrix(47,-2,400,-17) Matrix(19695,-7232,7628,-2801) -> Matrix(95,-4,1164,-49) Matrix(4343,-1596,5358,-1969) -> Matrix(709,-30,13022,-551) Matrix(3667,-1350,1350,-497) -> Matrix(281,-12,2412,-103) Matrix(145,-54,384,-143) -> Matrix(93,-4,2116,-91) Matrix(479,-182,908,-345) -> Matrix(45,-2,968,-43) Matrix(7029,-2672,2870,-1091) -> Matrix(89,-4,868,-39) Matrix(5737,-2182,2248,-855) -> Matrix(45,-2,428,-19) Matrix(1577,-602,668,-255) -> Matrix(91,-4,842,-37) Matrix(11455,-4386,4056,-1553) -> Matrix(667,-30,5714,-257) Matrix(2003,-768,1098,-421) -> Matrix(43,-2,538,-25) Matrix(523,-202,334,-129) -> Matrix(47,-2,588,-25) Matrix(2369,-930,996,-391) -> Matrix(45,-2,428,-19) Matrix(1735,-706,376,-153) -> Matrix(1,0,-18,1) Matrix(985,-402,468,-191) -> Matrix(93,-4,1000,-43) Matrix(6843,-2794,2530,-1033) -> Matrix(185,-8,1642,-71) Matrix(795,-326,656,-269) -> Matrix(93,-4,1372,-59) Matrix(1775,-732,468,-193) -> Matrix(1,0,-16,1) Matrix(8127,-3358,1774,-733) -> Matrix(89,-4,512,-23) Matrix(2381,-986,326,-135) -> Matrix(133,-6,510,-23) Matrix(1679,-696,234,-97) -> Matrix(43,-2,194,-9) Matrix(6623,-2750,1958,-813) -> Matrix(1,0,-16,1) Matrix(325,-136,466,-195) -> Matrix(1,0,-2,1) Matrix(3621,-1528,2320,-979) -> Matrix(179,-8,2260,-101) Matrix(20325,-8584,5614,-2371) -> Matrix(397,-18,3154,-143) Matrix(21667,-9154,5986,-2529) -> Matrix(307,-14,2478,-113) Matrix(2877,-1216,556,-235) -> Matrix(87,-4,544,-25) Matrix(1577,-668,602,-255) -> Matrix(41,-2,390,-19) Matrix(461,-200,1058,-459) -> Matrix(133,-6,2904,-131) Matrix(7657,-3364,2110,-927) -> Matrix(171,-8,1304,-61) Matrix(3163,-1390,3898,-1713) -> Matrix(213,-10,3898,-183) Matrix(1421,-626,824,-363) -> Matrix(87,-4,1066,-49) Matrix(273,-122,320,-143) -> Matrix(45,-2,788,-35) Matrix(1267,-580,1042,-477) -> Matrix(127,-6,1884,-89) Matrix(721,-334,136,-63) -> Matrix(41,-2,226,-11) Matrix(2605,-1222,1618,-759) -> Matrix(93,-4,1186,-51) Matrix(985,-468,402,-191) -> Matrix(45,-2,428,-19) Matrix(559,-300,300,-161) -> Matrix(49,-2,564,-23) Matrix(385,-208,472,-255) -> Matrix(43,-2,796,-37) Matrix(2003,-1098,768,-421) -> Matrix(1,0,-12,1) Matrix(1233,-680,2000,-1103) -> Matrix(41,-2,882,-43) Matrix(765,-424,424,-235) -> Matrix(1,0,-10,1) Matrix(5973,-3332,4322,-2411) -> Matrix(161,-8,2234,-111) Matrix(2371,-1324,3304,-1845) -> Matrix(75,-4,1444,-77) Matrix(7493,-4190,4190,-2343) -> Matrix(65,-2,748,-23) Matrix(4063,-2274,888,-497) -> Matrix(49,-2,270,-11) Matrix(8119,-4552,2242,-1257) -> Matrix(133,-6,1042,-47) Matrix(6469,-3630,3762,-2111) -> Matrix(131,-6,1594,-73) Matrix(169,-96,294,-167) -> Matrix(43,-2,882,-41) Matrix(7783,-4494,4560,-2633) -> Matrix(43,-2,538,-25) Matrix(6527,-3770,2384,-1377) -> Matrix(39,-2,332,-17) Matrix(7487,-4328,2216,-1281) -> Matrix(43,-2,280,-13) Matrix(2133,-1234,1630,-943) -> Matrix(41,-2,636,-31) Matrix(1421,-824,626,-363) -> Matrix(39,-2,410,-21) Matrix(3005,-1746,1086,-631) -> Matrix(1,0,-12,1) Matrix(6469,-3762,3630,-2111) -> Matrix(207,-10,2422,-117) Matrix(1665,-974,2624,-1535) -> Matrix(45,-2,878,-39) Matrix(20313,-11894,7868,-4607) -> Matrix(43,-2,624,-29) Matrix(19521,-11432,5162,-3023) -> Matrix(601,-28,3928,-183) Matrix(5909,-3462,3330,-1951) -> Matrix(171,-8,1988,-93) Matrix(1331,-782,914,-537) -> Matrix(83,-4,1100,-53) Matrix(1827,-1076,416,-245) -> Matrix(1,0,-14,1) Matrix(3237,-1910,1910,-1127) -> Matrix(1,0,-8,1) Matrix(747,-442,1036,-613) -> Matrix(41,-2,800,-39) Matrix(205,-124,124,-75) -> Matrix(39,-2,488,-25) Matrix(1883,-1152,492,-301) -> Matrix(1,0,-16,1) Matrix(6667,-4092,3762,-2309) -> Matrix(89,-4,1046,-47) Matrix(7019,-4334,1958,-1209) -> Matrix(253,-12,1750,-83) Matrix(1753,-1084,490,-303) -> Matrix(83,-4,602,-29) Matrix(897,-556,1018,-631) -> Matrix(41,-2,718,-35) Matrix(2605,-1618,1222,-759) -> Matrix(163,-8,1732,-85) Matrix(7653,-4756,2116,-1315) -> Matrix(1,0,-12,1) Matrix(6435,-4058,2672,-1685) -> Matrix(1,0,-10,1) Matrix(5949,-3754,3358,-2119) -> Matrix(121,-6,1432,-71) Matrix(8409,-5318,1820,-1151) -> Matrix(41,-2,226,-11) Matrix(3031,-1920,1656,-1049) -> Matrix(281,-14,3352,-167) Matrix(9897,-6272,5414,-3431) -> Matrix(799,-40,9608,-481) Matrix(3717,-2356,1696,-1075) -> Matrix(319,-16,3210,-161) Matrix(523,-334,202,-129) -> Matrix(41,-2,390,-19) Matrix(1285,-828,762,-491) -> Matrix(41,-2,472,-23) Matrix(5091,-3290,2366,-1529) -> Matrix(365,-18,3792,-187) Matrix(521,-338,800,-519) -> Matrix(241,-12,4800,-239) Matrix(157,-106,40,-27) -> Matrix(39,-2,254,-13) Matrix(901,-618,156,-107) -> Matrix(1,0,-14,1) Matrix(2181,-1516,856,-595) -> Matrix(1,0,-12,1) Matrix(4185,-2944,2944,-2071) -> Matrix(155,-8,2112,-109) Matrix(10841,-7640,4142,-2919) -> Matrix(29,-2,276,-19) Matrix(5149,-3630,1122,-791) -> Matrix(41,-2,226,-11) Matrix(1701,-1202,542,-383) -> Matrix(161,-8,1268,-63) Matrix(1199,-848,386,-273) -> Matrix(159,-8,1292,-65) Matrix(8115,-5744,4754,-3365) -> Matrix(197,-10,2502,-127) Matrix(733,-520,850,-603) -> Matrix(157,-8,2728,-139) Matrix(3937,-2796,1080,-767) -> Matrix(1,0,-12,1) Matrix(425,-302,38,-27) -> Matrix(39,-2,98,-5) Matrix(1843,-1326,1458,-1049) -> Matrix(1,0,-4,1) Matrix(1727,-1244,1112,-801) -> Matrix(115,-6,1476,-77) Matrix(8695,-6288,4902,-3545) -> Matrix(73,-4,858,-47) Matrix(5973,-4322,3332,-2411) -> Matrix(37,-2,426,-23) Matrix(9495,-6872,3638,-2633) -> Matrix(41,-2,390,-19) Matrix(2793,-2026,1300,-943) -> Matrix(235,-12,2448,-125) Matrix(1797,-1304,842,-611) -> Matrix(233,-12,2466,-127) Matrix(1871,-1364,572,-417) -> Matrix(39,-2,254,-13) Matrix(2975,-2172,1908,-1393) -> Matrix(463,-24,5884,-305) Matrix(801,-586,190,-139) -> Matrix(115,-6,786,-41) Matrix(533,-392,722,-531) -> Matrix(343,-18,6498,-341) Matrix(4119,-3142,898,-685) -> Matrix(73,-4,420,-23) Matrix(2319,-1772,1310,-1001) -> Matrix(109,-6,1290,-71) Matrix(1081,-834,372,-287) -> Matrix(1,0,-10,1) Matrix(2865,-2216,3536,-2735) -> Matrix(329,-18,6050,-331) Matrix(333,-260,260,-203) -> Matrix(35,-2,508,-29) Matrix(1071,-844,184,-145) -> Matrix(39,-2,176,-9) Matrix(1843,-1458,1326,-1049) -> Matrix(73,-4,1004,-55) Matrix(1533,-1240,1240,-1003) -> Matrix(443,-24,6442,-349) Matrix(3935,-3192,948,-769) -> Matrix(293,-16,2106,-115) Matrix(1959,-1606,616,-505) -> Matrix(109,-6,854,-47) Matrix(9715,-7974,7974,-6545) -> Matrix(1021,-56,15078,-827) Matrix(1267,-1042,580,-477) -> Matrix(1,0,-8,1) Matrix(795,-656,326,-269) -> Matrix(109,-6,1072,-59) Matrix(609,-514,250,-211) -> Matrix(35,-2,368,-21) Matrix(2891,-2456,1070,-909) -> Matrix(71,-4,586,-33) Matrix(673,-582,318,-275) -> Matrix(103,-6,1116,-65) Matrix(459,-400,70,-61) -> Matrix(1,0,-12,1) Matrix(1753,-1548,1086,-959) -> Matrix(35,-2,438,-25) Matrix(381,-344,278,-251) -> Matrix(73,-4,1004,-55) Matrix(405,-454,124,-139) -> Matrix(1,0,-8,1) Matrix(897,-1018,556,-631) -> Matrix(61,-4,778,-51) Matrix(733,-850,520,-603) -> Matrix(31,-2,450,-29) Matrix(273,-320,122,-143) -> Matrix(61,-4,656,-43) Matrix(181,-216,150,-179) -> Matrix(151,-10,2250,-149) Matrix(3573,-4348,982,-1195) -> Matrix(89,-6,638,-43) Matrix(18803,-22910,6872,-8373) -> Matrix(915,-62,7748,-525) Matrix(385,-472,208,-255) -> Matrix(147,-10,1720,-117) Matrix(3163,-3898,1390,-1713) -> Matrix(205,-14,2094,-143) Matrix(4343,-5358,1596,-1969) -> Matrix(117,-8,980,-67) Matrix(3245,-4014,384,-475) -> Matrix(29,-2,624,-43) Matrix(3717,-4600,442,-547) -> Matrix(29,-2,-478,33) Matrix(1019,-1292,698,-885) -> Matrix(59,-4,782,-53) Matrix(2147,-2738,1682,-2145) -> Matrix(465,-32,6728,-463) Matrix(4777,-6178,1756,-2271) -> Matrix(27,-2,230,-17) Matrix(489,-634,172,-223) -> Matrix(1,0,-6,1) Matrix(659,-860,200,-261) -> Matrix(29,-2,218,-15) Matrix(11515,-15082,4258,-5577) -> Matrix(211,-14,1884,-125) Matrix(1741,-2284,1228,-1611) -> Matrix(147,-10,2014,-137) Matrix(171,-226,28,-37) -> Matrix(29,-2,102,-7) Matrix(533,-722,392,-531) -> Matrix(393,-28,5488,-391) Matrix(1535,-2096,446,-609) -> Matrix(111,-8,902,-65) Matrix(3091,-4234,1198,-1641) -> Matrix(83,-6,678,-49) Matrix(1833,-2524,1138,-1567) -> Matrix(137,-10,1740,-127) Matrix(3219,-4438,610,-841) -> Matrix(107,-8,602,-45) Matrix(3797,-5246,2078,-2871) -> Matrix(251,-18,3026,-217) Matrix(2659,-3676,970,-1341) -> Matrix(83,-6,678,-49) Matrix(747,-1036,442,-613) -> Matrix(55,-4,674,-49) Matrix(2371,-3304,1324,-1845) -> Matrix(109,-8,1240,-91) Matrix(2167,-3046,604,-849) -> Matrix(53,-4,358,-27) Matrix(3423,-4828,1396,-1969) -> Matrix(29,-2,276,-19) Matrix(1943,-2744,1094,-1545) -> Matrix(57,-4,670,-47) Matrix(4757,-6728,3362,-4755) -> Matrix(253,-18,3528,-251) Matrix(1119,-1588,136,-193) -> Matrix(27,-2,68,-5) Matrix(4387,-6238,2344,-3333) -> Matrix(541,-40,6208,-459) Matrix(325,-466,136,-195) -> Matrix(27,-2,284,-21) Matrix(5519,-8076,1608,-2353) -> Matrix(1,0,-6,1) Matrix(521,-800,338,-519) -> Matrix(339,-26,4394,-337) Matrix(3549,-5492,674,-1043) -> Matrix(361,-28,2050,-159) Matrix(7097,-11054,2606,-4059) -> Matrix(383,-30,3230,-253) Matrix(7069,-11016,2502,-3899) -> Matrix(841,-66,7174,-563) Matrix(1665,-2624,974,-1535) -> Matrix(1,0,0,1) Matrix(4661,-7352,1280,-2019) -> Matrix(49,-4,380,-31) Matrix(14363,-22664,5504,-8685) -> Matrix(73,-6,718,-59) Matrix(7013,-11070,2688,-4243) -> Matrix(25,-2,238,-19) Matrix(3119,-4932,972,-1537) -> Matrix(1,0,-6,1) Matrix(4397,-6956,1610,-2547) -> Matrix(27,-2,230,-17) Matrix(255,-406,76,-121) -> Matrix(25,-2,188,-15) Matrix(987,-1588,202,-325) -> Matrix(51,-4,268,-21) Matrix(10429,-16830,3762,-6071) -> Matrix(25,-2,288,-23) Matrix(781,-1264,76,-123) -> Matrix(25,-2,88,-7) Matrix(479,-776,50,-81) -> Matrix(51,-4,166,-13) Matrix(1233,-2000,680,-1103) -> Matrix(25,-2,338,-27) Matrix(5347,-8710,1582,-2577) -> Matrix(25,-2,188,-15) Matrix(2051,-3362,1250,-2049) -> Matrix(801,-64,10000,-799) Matrix(1911,-3236,662,-1121) -> Matrix(23,-2,196,-17) Matrix(2891,-4898,1004,-1701) -> Matrix(27,-2,230,-17) Matrix(561,-956,98,-167) -> Matrix(1,0,-8,1) Matrix(7995,-13652,2828,-4829) -> Matrix(301,-24,2546,-203) Matrix(7433,-12696,2730,-4663) -> Matrix(1,0,-4,1) Matrix(7985,-13728,2112,-3631) -> Matrix(367,-30,2410,-197) Matrix(169,-294,96,-167) -> Matrix(97,-8,1152,-95) Matrix(4311,-7636,1762,-3121) -> Matrix(1,0,-2,1) Matrix(3559,-6340,1258,-2241) -> Matrix(71,-6,580,-49) Matrix(2513,-4482,522,-931) -> Matrix(233,-20,1200,-103) Matrix(5043,-9014,2084,-3725) -> Matrix(601,-52,5906,-511) Matrix(16213,-28998,5964,-10667) -> Matrix(1243,-108,10554,-917) Matrix(11193,-20024,4118,-7367) -> Matrix(873,-76,7432,-647) Matrix(13021,-23544,2820,-5099) -> Matrix(1,0,0,1) Matrix(7377,-13346,1598,-2891) -> Matrix(1,0,-10,1) Matrix(1219,-2214,234,-425) -> Matrix(49,-4,282,-23) Matrix(1979,-3698,1058,-1977) -> Matrix(921,-80,10580,-919) Matrix(435,-818,92,-173) -> Matrix(91,-8,512,-45) Matrix(267,-590,62,-137) -> Matrix(19,-2,124,-13) Matrix(2087,-4646,818,-1821) -> Matrix(1,0,-2,1) Matrix(4293,-9764,1250,-2843) -> Matrix(41,-4,318,-31) Matrix(2055,-4678,322,-733) -> Matrix(41,-4,318,-31) Matrix(461,-1058,200,-459) -> Matrix(201,-20,2000,-199) Matrix(177,-416,20,-47) -> Matrix(19,-2,86,-9) Matrix(3881,-9186,804,-1903) -> Matrix(127,-14,626,-69) Matrix(4155,-9838,862,-2041) -> Matrix(143,-16,724,-81) Matrix(1665,-3946,646,-1531) -> Matrix(17,-2,162,-19) Matrix(4433,-10550,1640,-3903) -> Matrix(1,0,0,1) Matrix(4061,-9800,1682,-4059) -> Matrix(421,-42,4200,-419) Matrix(925,-2242,328,-795) -> Matrix(97,-10,844,-87) Matrix(15641,-38282,4556,-11151) -> Matrix(39,-4,244,-25) Matrix(15179,-37158,4422,-10825) -> Matrix(19,-2,162,-17) Matrix(553,-1360,172,-423) -> Matrix(19,-2,162,-17) Matrix(463,-1186,130,-333) -> Matrix(17,-2,128,-15) Matrix(8717,-22500,2304,-5947) -> Matrix(7,-2,46,-13) Matrix(2211,-5776,694,-1813) -> Matrix(75,-8,572,-61) Matrix(2299,-6016,274,-717) -> Matrix(19,-2,-142,15) Matrix(145,-384,54,-143) -> Matrix(55,-6,486,-53) Matrix(11333,-30644,2726,-7371) -> Matrix(199,-22,1384,-153) Matrix(14735,-39846,3546,-9589) -> Matrix(341,-38,2396,-267) Matrix(925,-2506,196,-531) -> Matrix(87,-10,496,-57) Matrix(1203,-3284,248,-677) -> Matrix(1,0,-4,1) Matrix(15371,-42050,5618,-15369) -> Matrix(477,-56,4046,-475) Matrix(6791,-18818,2450,-6789) -> Matrix(1,0,4,1) Matrix(279,-778,52,-145) -> Matrix(17,-2,94,-11) Matrix(2505,-7988,662,-2111) -> Matrix(91,-12,584,-77) Matrix(4341,-13942,940,-3019) -> Matrix(1,0,0,1) Matrix(489,-1688,104,-359) -> Matrix(17,-2,94,-11) Matrix(365,-1352,98,-363) -> Matrix(99,-14,686,-97) Matrix(1755,-6758,422,-1625) -> Matrix(71,-10,490,-69) Matrix(109,-486,24,-107) -> Matrix(25,-4,144,-23) Matrix(281,-1568,50,-279) -> Matrix(51,-10,250,-49) 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.