INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2160 Minimal number of generators: 361 Number of equivalence classes of cusps: 72 Genus: 145 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 0/1 3/16 4/15 5/14 6/13 1/2 7/12 8/11 9/10 1/1 10/9 21/17 43/33 11/8 7/5 45/31 3/2 23/15 47/29 12/7 73/41 49/27 2/1 13/6 53/23 40/17 27/11 5/2 13/5 55/21 8/3 111/41 14/5 3/1 29/9 13/4 23/7 10/3 265/77 7/2 89/25 134/37 11/3 15/4 19/5 4/1 21/5 77/18 13/3 31/7 9/2 14/3 33/7 63/13 5/1 16/3 27/5 11/2 17/3 29/5 6/1 19/3 13/2 33/5 20/3 7/1 8/1 25/3 17/2 9/1 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 1/35 -7/15 1/32 1/31 -13/28 1/31 4/123 -6/13 0/1 1/29 -11/24 2/61 3/91 -5/11 1/29 -19/42 1/31 2/61 -14/31 4/119 3/89 -23/51 1/30 1/29 -9/20 4/117 1/29 -13/29 1/29 3/86 -17/38 5/143 2/57 -4/9 0/1 1/29 -11/25 3/83 -18/41 2/55 9/247 -25/57 5/136 1/27 -7/16 0/1 1/27 -24/55 3/83 2/55 -17/39 1/29 -27/62 5/139 4/111 -10/23 2/55 5/137 -13/30 8/217 1/27 -3/7 1/27 1/26 -11/26 4/103 3/77 -30/71 16/411 3/77 -19/45 7/179 -27/64 2/51 5/127 -8/19 0/1 1/25 -21/50 3/77 2/51 -13/31 1/25 -5/12 4/101 1/25 -17/41 1/25 7/174 -29/70 9/223 4/99 -12/29 4/99 7/173 -31/75 5/123 7/172 -19/46 2/49 7/171 -26/63 5/123 2/49 -7/17 1/25 -23/56 2/49 7/171 -16/39 2/49 3/73 -9/22 1/25 2/49 -2/5 2/47 1/23 -13/33 1/23 3/68 -11/28 1/23 4/91 -20/51 13/293 2/45 -9/23 3/67 -16/41 3/67 4/89 -7/18 3/67 4/89 -5/13 1/22 3/65 -23/60 2/43 5/107 -18/47 3/65 2/43 -31/81 13/281 -13/34 11/237 2/43 -21/55 9/193 -8/21 2/43 1/21 -27/71 3/64 7/149 -19/50 6/127 1/21 -11/29 1/21 -36/95 4/85 9/191 -25/66 7/149 4/85 -14/37 11/233 6/127 -17/45 11/232 1/21 -3/8 1/21 4/83 -16/43 17/349 2/41 -13/35 7/143 -23/62 2/41 3/61 -10/27 8/163 3/61 -17/46 2/41 3/61 -24/65 4/81 13/263 -7/19 5/101 1/20 -4/11 4/79 3/59 -17/47 11/215 -13/36 2/39 17/331 -9/25 5/97 3/58 -5/14 8/153 1/19 -11/31 1/19 9/170 -6/17 4/75 7/131 -13/37 5/93 7/130 -7/20 2/37 11/203 -8/23 11/201 4/73 -1/3 1/17 -7/22 4/63 11/173 -6/19 11/171 2/31 -11/35 7/108 5/77 -5/16 7/107 4/61 -9/29 9/136 1/15 -13/42 26/391 1/15 -4/13 1/15 8/119 -7/23 3/44 5/73 -10/33 17/247 2/29 -23/76 2/29 39/565 -13/43 11/159 -3/10 3/43 4/57 -5/17 1/14 5/69 -22/75 7/97 6/83 -17/58 13/179 4/55 -12/41 3/41 2/27 -7/24 3/41 8/109 -23/79 3/41 5/68 -16/55 3/41 2/27 -9/31 7/95 -20/69 31/419 2/27 -11/38 2/27 17/229 -13/45 5/67 3/40 -2/7 4/53 1/13 -13/46 1/13 26/337 -11/39 1/13 11/142 -9/32 6/77 11/141 -25/89 1/13 5/64 -16/57 4/51 7/89 -7/25 1/13 -5/18 1/13 2/25 -13/47 9/113 -21/76 29/363 2/25 -8/29 2/25 11/137 -19/69 13/161 -11/40 2/25 3/37 -3/11 3/37 1/12 -4/15 4/47 3/35 -9/34 4/47 3/35 -5/19 3/35 -16/61 19/219 2/23 -11/42 2/23 13/149 -17/65 5/57 3/34 -6/23 4/45 1/11 -13/50 2/23 1/11 -7/27 3/34 1/11 -1/4 1/11 2/21 -4/17 2/19 1/9 -7/30 3/29 2/19 -10/43 7/67 2/19 -13/56 2/19 9/85 -3/13 1/9 -14/61 3/29 2/19 -11/48 2/19 5/47 -8/35 7/67 2/19 -21/92 9/85 16/151 -13/57 7/66 5/47 -5/22 7/65 4/37 -17/75 1/9 -12/53 4/37 9/83 -7/31 7/64 1/9 -9/40 18/163 1/9 -2/9 1/9 4/35 -9/41 3/25 1/8 -7/32 0/1 1/9 -5/23 1/9 -13/60 5/43 2/17 -8/37 2/17 3/25 -3/14 0/1 1/9 -13/61 1/9 3/26 -10/47 5/43 2/17 -7/33 7/59 -11/52 3/25 16/133 -4/19 3/25 4/33 -1/5 1/8 1/7 -5/26 10/71 1/7 -4/21 1/7 8/55 -3/16 5/33 2/13 -8/43 4/25 5/31 -5/27 1/5 -7/38 2/13 3/19 -2/11 0/1 1/7 -7/39 1/7 5/34 -5/28 9/59 2/13 -3/17 3/19 -1/6 0/1 1/5 -4/25 2/11 5/27 -3/19 3/16 1/5 -5/32 10/51 1/5 -2/13 1/5 4/19 -7/46 2/9 3/13 -5/33 1/5 1/4 -8/53 9/41 2/9 -3/20 3/13 4/17 -4/27 2/7 1/3 -1/7 1/5 -2/15 3/11 2/7 -1/8 0/1 1/5 -2/17 4/13 1/3 -3/26 1/3 6/17 -1/9 1/3 1/2 -1/10 0/1 1/3 -1/11 1/1 0/1 -1/1 0/1 1/7 -1/4 -1/5 2/13 -1/5 -4/21 1/6 -1/7 0/1 4/23 -2/9 -5/23 3/17 -1/5 -3/16 5/28 -2/11 -3/17 2/11 -2/11 -3/17 3/16 -1/6 4/21 -5/31 -4/25 1/5 -1/7 6/29 -1/1 0/1 5/24 -2/9 -1/5 4/19 -1/5 -2/11 3/14 -4/25 -3/19 5/23 -1/6 -1/7 2/9 -4/27 -1/7 3/13 -1/7 -3/22 4/17 -5/37 -2/15 1/4 -1/7 0/1 6/23 -3/23 -10/77 5/19 -5/39 -1/8 4/15 -1/8 11/41 -1/8 -11/89 7/26 -7/57 -6/49 3/11 -3/25 11/40 -4/33 -3/25 8/29 -2/17 -1/9 29/105 -3/25 21/76 -7/59 -2/17 13/47 -3/25 -5/42 5/18 -2/17 -9/77 7/25 -5/44 -1/9 9/32 -1/9 -8/73 11/39 -3/29 2/7 -1/9 0/1 7/24 -3/25 -2/17 12/41 -1/9 -2/19 17/58 -1/9 0/1 5/17 -1/7 8/27 -5/41 -4/33 11/37 -7/58 -3/25 14/47 -19/159 -8/67 3/10 -2/17 -5/43 10/33 -2/17 -5/43 7/23 -7/61 11/36 -6/53 -1/9 4/13 -8/71 -1/9 1/3 -1/9 -1/10 6/17 -5/49 -6/59 5/14 -1/10 14/39 -15/151 -14/141 9/25 -9/91 13/36 -19/193 -6/61 4/11 -4/41 -3/31 11/30 -16/165 -3/31 7/19 -7/73 17/46 -2/21 -25/263 27/73 -9/95 -7/74 10/27 -2/21 -5/53 3/8 -1/11 0/1 11/29 -1/10 -3/31 19/50 -5/51 -4/41 8/21 -3/31 -2/21 5/13 -1/11 2/5 -4/43 -1/11 7/17 -1/11 -7/78 12/29 -9/101 -4/45 5/12 -4/45 -7/79 13/31 -5/57 -7/80 8/19 -2/23 -7/81 19/45 -1/11 -1/12 11/26 -5/57 -2/23 3/7 -1/11 10/23 -2/23 -7/81 17/39 -3/35 -1/12 24/55 -14/163 -3/35 7/16 -2/23 -3/35 11/25 -1/12 -1/13 15/34 -1/11 -2/23 4/9 -1/11 -2/23 13/29 -7/81 9/20 -14/163 -3/35 5/11 -5/59 -1/12 6/13 -1/12 1/2 -2/25 -1/13 8/15 -1/13 -2/27 15/28 -2/27 -3/41 7/13 -1/13 -3/40 6/11 -1/13 -4/53 11/20 -13/175 -2/27 5/9 -3/41 14/25 -1/13 -2/27 37/66 -2/27 -11/149 23/41 -5/68 -3/41 9/16 -3/41 -4/55 22/39 -4/55 -5/69 35/62 -9/125 -10/139 13/23 -1/13 -1/14 17/30 -1/13 -2/27 4/7 -3/41 -4/55 15/26 -8/111 -9/125 26/45 -7/97 -8/111 11/19 -11/153 7/12 -1/14 17/29 -17/239 44/75 -14/197 -13/183 27/46 -15/211 -14/197 37/63 -13/183 -25/352 10/17 -10/141 -9/127 3/5 -1/14 -3/43 14/23 -2/29 -5/73 11/18 -3/43 -2/29 19/31 -13/187 8/13 -11/159 -2/29 13/21 -9/131 5/8 -2/29 -1/15 17/27 -3/44 -7/103 29/46 -7/103 -4/59 12/19 -6/89 -1/15 7/11 -1/15 23/36 -4/59 -9/133 16/25 -7/103 -4/59 9/14 -11/163 -6/89 11/17 -11/164 -1/15 2/3 -1/15 -4/61 11/16 -17/263 -2/31 9/13 -7/109 34/49 -13/203 -8/125 25/36 -3/47 -4/63 16/23 -2/31 -3/47 7/10 -8/125 -3/47 26/37 -10/157 -17/267 19/27 -11/173 50/71 -14/221 -5/79 31/44 -3/47 -4/63 12/17 -2/31 -3/47 41/58 -3/47 -10/157 29/41 -11/173 17/24 -4/63 -13/205 5/7 -5/79 -1/16 13/18 -13/207 -14/223 8/11 -1/16 19/26 -19/305 -18/289 49/67 -1/16 -17/273 79/108 -17/273 -16/257 30/41 -16/257 -15/241 41/56 -43/691 -14/225 11/15 -11/177 14/19 -7/113 -6/97 31/42 -6/97 -5/81 48/65 -6/97 -5/81 17/23 -1/16 -5/81 3/4 -4/65 -3/49 19/25 -5/82 -7/115 16/21 -7/115 -2/33 45/59 -3/49 -5/82 29/38 -12/197 -7/115 13/17 -11/181 10/13 -2/33 -17/281 17/22 -2/33 -9/149 24/31 -2/33 -1/17 7/9 -5/83 -3/50 18/23 -16/267 -13/217 11/14 -7/117 -4/67 15/19 -9/151 34/43 -4/67 -1/17 53/67 -5/84 -1/17 19/24 -9/151 -14/235 23/29 -5/84 -11/185 4/5 -8/135 -1/17 9/11 -1/17 -9/154 32/39 -8/137 -15/257 23/28 -8/137 -15/257 14/17 -13/223 -6/103 33/40 -1/17 -6/103 85/103 -1/17 -5/86 52/63 -1/17 -6/103 19/23 -11/189 24/29 -19/327 -14/241 29/35 -5/86 -9/155 5/6 -4/69 -7/121 11/13 -5/87 -7/122 17/20 -9/157 -2/35 23/27 -21/367 6/7 -2/35 -11/193 19/22 -13/229 -8/141 32/37 -29/511 -8/141 13/15 -11/194 -3/53 7/8 -11/195 -4/71 15/17 -5/89 -11/196 8/9 -8/143 -9/161 9/10 -1/18 1/1 -1/19 10/9 -1/20 9/8 -9/181 -8/161 17/15 -11/222 -5/101 8/7 -4/81 -11/223 7/6 -11/225 -2/41 34/29 -2/41 -53/1087 27/23 -21/431 20/17 -2/41 -9/185 33/28 -9/185 -16/329 46/39 -20/411 -9/185 13/11 -7/144 -5/103 6/5 -7/145 -4/83 23/19 -11/229 40/33 -6/125 -1/21 17/14 -6/125 -13/271 28/23 -15/313 -8/167 11/9 -9/188 -1/21 16/13 -26/545 -1/21 21/17 -1/21 26/21 -1/21 -42/883 5/4 -1/21 -8/169 14/11 -4/85 -7/149 23/18 -13/277 -16/341 32/25 -3/64 9/7 -3/64 -5/107 22/17 -9/193 -2/43 35/27 -5/107 13/10 -17/365 -2/43 43/33 -2/43 73/56 -2/43 -95/2043 30/23 -2/43 -39/839 17/13 -11/237 21/16 -2/43 -7/151 25/19 -7/151 -5/108 4/3 -3/65 -4/87 27/20 -5/109 -6/131 23/17 -5/109 -1/22 19/14 -6/131 -7/153 34/25 -23/503 -8/175 15/11 -11/241 11/8 -1/22 29/21 -21/463 76/55 -18/397 -53/1169 47/34 -17/375 -16/353 18/13 -14/309 -13/287 7/5 -1/22 -5/111 31/22 -7/155 -6/133 24/17 -13/289 -4/89 89/63 -4/89 65/46 -4/89 -35/779 41/29 -11/245 58/41 -10/223 -3/67 17/12 -3/67 -2/45 44/31 -4/89 -3/67 27/19 -11/245 37/26 -17/379 -10/223 10/7 -3/67 -8/179 33/23 -3/67 -5/112 89/62 -3/67 -8/179 56/39 -5/112 23/16 -3/67 -2/45 59/41 -1/22 -1/23 36/25 -4/89 -3/67 49/34 -8/179 -13/291 13/9 -7/157 29/20 -31/697 -2/45 45/31 -2/45 61/42 -2/45 -65/1463 16/11 -2/45 -17/383 19/13 -5/113 -3/68 3/2 -4/91 -1/23 23/15 -1/23 43/28 -1/23 -56/1289 20/13 -1/23 -26/599 17/11 -1/23 -11/254 65/42 -10/231 -39/901 48/31 -10/231 -19/439 31/20 -33/763 -8/185 14/9 -6/139 -11/255 39/25 -1/23 -5/116 25/16 -4/93 -7/163 11/7 -1/23 8/5 -1/23 -2/47 29/18 -5/117 -22/515 50/31 -16/375 -9/211 121/75 -5/117 -7/164 71/44 -5/117 -2/47 92/57 -5/117 -2/47 21/13 -9/211 34/21 -29/681 -2/47 47/29 -2/47 60/37 -2/47 -51/1199 13/8 -2/47 -11/259 31/19 -13/307 49/30 -26/615 -3/71 67/41 -3/71 -13/308 18/11 -2/47 -3/71 5/3 -3/71 -1/24 17/10 -9/215 -10/239 12/7 -1/24 31/18 -19/457 -18/433 81/47 -31/746 -15/361 50/29 -14/337 -13/313 19/11 -11/265 64/37 -8/193 -7/169 45/26 -8/193 -7/169 71/41 -1/24 -9/217 168/97 -10/241 -9/217 265/153 -9/217 97/56 -9/217 -8/193 26/15 -9/217 -8/193 33/19 -7/169 -13/314 7/4 -4/97 -3/73 30/17 -2/49 -1/25 53/30 -1/23 0/1 23/13 -1/24 -1/25 62/35 -10/241 -9/217 39/22 -5/121 -4/97 16/9 -4/97 -3/73 73/41 -3/73 57/32 -3/73 -14/341 41/23 -3/73 -5/122 66/37 -11/269 -2/49 25/14 -2/49 -1/25 34/19 -2/49 -9/221 9/5 -3/73 29/16 -19/465 -2/49 49/27 -2/49 69/38 -2/49 -45/1103 20/11 -2/49 -13/319 31/17 -5/123 -3/74 11/6 -4/99 -1/25 24/13 -2/49 -1/25 37/20 -3/74 50/27 -4/99 -1/25 13/7 -3/74 -1/25 2/1 -1/25 -2/51 15/7 -7/181 13/6 -1/26 37/17 -17/443 24/11 -12/313 -11/287 11/5 -1/26 -5/131 20/9 -3/79 -14/369 49/22 -12/317 -7/185 29/13 -7/185 9/4 -2/53 -1/27 25/11 -1/25 -1/26 91/40 -9/233 -10/259 66/29 -1/26 41/18 -8/209 -7/183 16/7 -3/79 -2/53 55/24 -3/79 -14/369 39/17 -1/26 -3/79 23/10 -7/185 -2/53 53/23 -2/53 83/36 -2/53 -25/663 30/13 -2/53 -9/239 7/3 -1/27 47/20 -1/25 0/1 40/17 -1/26 33/14 -3/79 -2/53 26/11 -2/53 -5/133 71/30 -4/107 -1/27 45/19 -1/26 -1/27 64/27 -1/25 0/1 19/8 -7/185 -2/53 50/21 -9/239 -16/425 81/34 -2/53 -5/133 31/13 -7/186 -5/133 43/18 -8/213 -27/719 55/23 -23/613 12/5 -7/187 -4/107 53/22 -4/107 -9/241 94/39 -5/134 41/17 -1/27 29/12 -4/107 -9/241 46/19 -21/563 -16/429 17/7 -7/188 -1/27 22/9 -18/485 -1/27 27/11 -1/27 32/13 -1/27 -26/703 5/2 -1/27 -4/109 33/13 -7/193 28/11 -2/55 -3/83 79/31 -1/27 51/20 -1/27 0/1 23/9 -3/83 -1/28 64/25 -5/139 -6/167 41/16 -1/28 18/7 -1/27 0/1 13/5 -1/27 34/13 -5/137 -2/55 55/21 -2/55 76/29 -2/55 -11/303 21/8 -2/55 -3/83 29/11 -3/83 -1/28 37/14 -1/27 0/1 8/3 -1/27 0/1 35/13 -1/27 -3/82 62/23 -8/219 -5/137 27/10 -5/137 -2/55 73/27 -7/192 -9/247 46/17 -25/687 -2/55 111/41 -2/55 176/65 -2/55 -103/2833 65/24 -2/55 -39/1073 19/7 -7/193 49/18 -8/221 -3/83 79/29 -23/636 -3/83 109/40 -62/1715 -3/83 30/11 -3/83 -16/443 41/15 -3/83 -1/28 11/4 -3/83 -4/111 47/17 -5/139 -1/28 36/13 -6/167 -19/529 61/22 -23/641 -8/223 25/9 -9/251 14/5 -1/28 31/11 -11/309 48/17 -25/703 -8/225 65/23 -1/28 -7/197 17/6 -6/169 -5/141 3/1 -1/28 -1/29 16/5 -10/289 -1/29 29/9 -1/29 42/13 -1/29 -26/755 13/4 -1/29 -8/233 36/11 -1/29 -6/175 95/29 -5/146 -9/263 59/18 -1/29 -4/117 23/7 -7/205 56/17 -1/29 -2/59 33/10 -5/147 -2/59 43/13 -1/29 -1/30 10/3 -5/147 -2/59 47/14 -8/237 -19/563 37/11 -3/89 -7/208 64/19 -4/119 -13/387 27/8 -4/119 -5/149 44/13 -1/30 61/18 -7/211 -6/181 17/5 -1/31 24/7 -2/59 -3/89 55/16 -1/31 0/1 86/25 -1/29 0/1 117/34 -1/29 0/1 265/77 -1/29 148/43 -1/29 -2/59 31/9 -1/29 -1/30 7/2 -1/29 0/1 39/11 -3/85 32/9 -8/231 -1/29 89/25 -1/29 146/41 -1/29 -44/1277 57/16 -1/29 -18/523 25/7 -1/29 -5/146 43/12 -10/293 -13/381 104/29 -3/88 61/17 -17/499 18/5 -9/265 -2/59 47/13 -5/148 -3/89 76/21 -2/59 -7/207 105/29 -3/89 134/37 -1/30 29/8 -1/29 -2/59 69/19 -5/148 -3/89 109/30 -14/415 -3/89 149/41 -3/89 40/11 -3/89 -4/119 11/3 -3/89 26/7 -6/179 -7/209 15/4 -1/30 34/9 -10/301 -9/271 53/14 -7/211 -20/603 72/19 -8/241 -7/211 19/5 -1/30 -5/151 61/16 -4/121 -3/91 42/11 -3/91 -2/61 23/6 -10/303 -3/91 27/7 -1/31 31/8 -3/91 -2/61 4/1 -1/31 0/1 21/5 -5/151 17/4 -2/61 -5/153 47/11 -1/31 124/29 -1/29 0/1 77/18 -1/30 30/7 -3/91 -2/61 13/3 -3/92 -1/31 22/5 -10/309 -1/31 31/7 -1/31 40/9 -1/31 -18/559 9/2 -1/31 -4/125 32/7 -2/63 -3/95 55/12 -3/95 -4/127 78/17 -1/32 101/22 -2/65 -1/33 23/5 -1/31 -1/32 60/13 -5/157 -2/63 157/34 -5/157 -2/63 97/21 -1/31 37/8 -9/283 -2/63 14/3 -3/95 -4/127 61/13 -13/415 47/10 -1/32 80/17 -14/449 -13/417 33/7 -1/32 -5/161 19/4 -2/65 -1/33 43/9 -1/31 -1/32 24/5 -1/33 -2/67 29/6 -1/37 0/1 63/13 0/1 34/7 -1/25 0/1 5/1 -1/31 21/4 -4/127 -5/159 16/3 -1/32 43/8 -8/257 -7/225 27/5 -1/32 -5/161 11/2 -3/97 -2/65 39/7 -1/31 28/5 -3/97 -2/65 45/8 -2/65 -1/33 17/3 -3/98 -1/33 23/4 -5/167 -2/67 29/5 -1/35 64/11 -1/33 0/1 35/6 -1/33 0/1 6/1 -1/31 0/1 19/3 -3/97 32/5 -2/65 -1/33 45/7 -5/163 -3/98 13/2 -4/131 -1/33 33/5 -1/33 53/8 -1/33 -16/529 20/3 -1/33 -6/199 7/1 -1/33 -1/34 8/1 -1/33 0/1 25/3 -3/101 -1/34 17/2 -1/34 43/5 -1/34 -5/171 26/3 -3/103 -2/69 9/1 -1/35 1/0 -1/37 0/1 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(355,166,-926,-433) (-1/2,-7/15) -> (-5/13,-23/60) Hyperbolic Matrix(73,34,-642,-299) (-7/15,-13/28) -> (-3/26,-1/9) Hyperbolic Matrix(1277,592,1840,853) (-13/28,-6/13) -> (34/49,25/36) Hyperbolic Matrix(635,292,772,355) (-6/13,-11/24) -> (23/28,14/17) Hyperbolic Matrix(351,160,68,31) (-11/24,-5/11) -> (5/1,21/4) Hyperbolic Matrix(1669,756,2360,1069) (-5/11,-19/42) -> (41/58,29/41) Hyperbolic Matrix(3813,1724,2152,973) (-19/42,-14/31) -> (62/35,39/22) Hyperbolic Matrix(833,376,-3188,-1439) (-14/31,-23/51) -> (-17/65,-6/23) Hyperbolic Matrix(413,186,-1934,-871) (-23/51,-9/20) -> (-3/14,-13/61) Hyperbolic Matrix(205,92,-1308,-587) (-9/20,-13/29) -> (-3/19,-5/32) Hyperbolic Matrix(1103,494,3990,1787) (-13/29,-17/38) -> (21/76,13/47) Hyperbolic Matrix(1509,674,2062,921) (-17/38,-4/9) -> (30/41,41/56) Hyperbolic Matrix(749,330,202,89) (-4/9,-11/25) -> (11/3,26/7) Hyperbolic Matrix(1219,536,680,299) (-11/25,-18/41) -> (34/19,9/5) Hyperbolic Matrix(1153,506,1014,445) (-18/41,-25/57) -> (17/15,8/7) Hyperbolic Matrix(4057,1778,1490,653) (-25/57,-7/16) -> (49/18,79/29) Hyperbolic Matrix(1549,676,1148,501) (-7/16,-24/55) -> (4/3,27/20) Hyperbolic Matrix(1821,794,2626,1145) (-24/55,-17/39) -> (9/13,34/49) Hyperbolic Matrix(3433,1496,1012,441) (-17/39,-27/62) -> (61/18,17/5) Hyperbolic Matrix(809,352,940,409) (-27/62,-10/23) -> (6/7,19/22) Hyperbolic Matrix(941,408,1340,581) (-10/23,-13/30) -> (7/10,26/37) Hyperbolic Matrix(65,28,-332,-143) (-13/30,-3/7) -> (-1/5,-5/26) Hyperbolic Matrix(197,84,68,29) (-3/7,-11/26) -> (17/6,3/1) Hyperbolic Matrix(1121,474,2566,1085) (-11/26,-30/71) -> (24/55,7/16) Hyperbolic Matrix(4209,1778,1186,501) (-30/71,-19/45) -> (39/11,32/9) Hyperbolic Matrix(2237,944,2628,1109) (-19/45,-27/64) -> (17/20,23/27) Hyperbolic Matrix(261,110,-1706,-719) (-27/64,-8/19) -> (-2/13,-7/46) Hyperbolic Matrix(523,220,920,387) (-8/19,-21/50) -> (17/30,4/7) Hyperbolic Matrix(653,274,-3010,-1263) (-21/50,-13/31) -> (-5/23,-13/60) Hyperbolic Matrix(721,302,-1898,-795) (-13/31,-5/12) -> (-19/50,-11/29) Hyperbolic Matrix(453,188,-2012,-835) (-5/12,-17/41) -> (-7/31,-9/40) Hyperbolic Matrix(3697,1532,6296,2609) (-17/41,-29/70) -> (27/46,37/63) Hyperbolic Matrix(3245,1344,-8564,-3547) (-29/70,-12/29) -> (-36/95,-25/66) Hyperbolic Matrix(1035,428,1168,483) (-12/29,-31/75) -> (15/17,8/9) Hyperbolic Matrix(1423,588,-4920,-2033) (-31/75,-19/46) -> (-11/38,-13/45) Hyperbolic Matrix(2975,1228,5308,2191) (-19/46,-26/63) -> (14/25,37/66) Hyperbolic Matrix(63,26,-710,-293) (-26/63,-7/17) -> (-1/11,0/1) Hyperbolic Matrix(389,160,-1680,-691) (-7/17,-23/56) -> (-13/56,-3/13) Hyperbolic Matrix(1033,424,1932,793) (-23/56,-16/39) -> (8/15,15/28) Hyperbolic Matrix(835,342,1482,607) (-16/39,-9/22) -> (9/16,22/39) Hyperbolic Matrix(451,184,576,235) (-9/22,-2/5) -> (18/23,11/14) Hyperbolic Matrix(877,346,2010,793) (-2/5,-13/33) -> (17/39,24/55) Hyperbolic Matrix(875,344,-3004,-1181) (-13/33,-11/28) -> (-7/24,-23/79) Hyperbolic Matrix(377,148,-2504,-983) (-11/28,-20/51) -> (-8/53,-3/20) Hyperbolic Matrix(623,244,-2372,-929) (-20/51,-9/23) -> (-5/19,-16/61) Hyperbolic Matrix(1371,536,376,147) (-9/23,-16/41) -> (40/11,11/3) Hyperbolic Matrix(687,268,1556,607) (-16/41,-7/18) -> (15/34,4/9) Hyperbolic Matrix(311,120,184,71) (-7/18,-5/13) -> (5/3,17/10) Hyperbolic Matrix(1357,520,-5916,-2267) (-23/60,-18/47) -> (-14/61,-11/48) Hyperbolic Matrix(679,260,2400,919) (-18/47,-31/81) -> (11/39,2/7) Hyperbolic Matrix(3695,1414,5046,1931) (-31/81,-13/34) -> (41/56,11/15) Hyperbolic Matrix(1597,610,-5778,-2207) (-13/34,-21/55) -> (-13/47,-21/76) Hyperbolic Matrix(493,188,1104,421) (-21/55,-8/21) -> (4/9,13/29) Hyperbolic Matrix(5027,1912,1964,747) (-8/21,-27/71) -> (23/9,64/25) Hyperbolic Matrix(1163,442,1534,583) (-27/71,-19/50) -> (3/4,19/25) Hyperbolic Matrix(12179,4616,3364,1275) (-11/29,-36/95) -> (76/21,105/29) Hyperbolic Matrix(2081,788,-7096,-2687) (-25/66,-14/37) -> (-22/75,-17/58) Hyperbolic Matrix(1037,392,3484,1317) (-14/37,-17/45) -> (11/37,14/47) Hyperbolic Matrix(673,254,-2382,-899) (-17/45,-3/8) -> (-13/46,-11/39) Hyperbolic Matrix(967,360,-4236,-1577) (-3/8,-16/43) -> (-8/35,-21/92) Hyperbolic Matrix(1087,404,-3748,-1393) (-16/43,-13/35) -> (-9/31,-20/69) Hyperbolic Matrix(905,336,3084,1145) (-13/35,-23/62) -> (17/58,5/17) Hyperbolic Matrix(723,268,-2776,-1029) (-23/62,-10/27) -> (-6/23,-13/50) Hyperbolic Matrix(481,178,1570,581) (-10/27,-17/46) -> (11/36,4/13) Hyperbolic Matrix(601,222,2894,1069) (-17/46,-24/65) -> (6/29,5/24) Hyperbolic Matrix(1929,712,-6868,-2535) (-24/65,-7/19) -> (-25/89,-16/57) Hyperbolic Matrix(419,154,302,111) (-7/19,-4/11) -> (18/13,7/5) Hyperbolic Matrix(2559,926,3634,1315) (-4/11,-17/47) -> (19/27,50/71) Hyperbolic Matrix(1549,560,-5120,-1851) (-17/47,-13/36) -> (-23/76,-13/43) Hyperbolic Matrix(593,214,2142,773) (-13/36,-9/25) -> (13/47,5/18) Hyperbolic Matrix(295,106,654,235) (-9/25,-5/14) -> (9/20,5/11) Hyperbolic Matrix(529,188,-1708,-607) (-5/14,-11/31) -> (-9/29,-13/42) Hyperbolic Matrix(175,62,1002,355) (-11/31,-6/17) -> (4/23,3/17) Hyperbolic Matrix(999,352,1700,599) (-6/17,-13/37) -> (37/63,10/17) Hyperbolic Matrix(1169,410,3162,1109) (-13/37,-7/20) -> (17/46,27/73) Hyperbolic Matrix(349,122,1170,409) (-7/20,-8/23) -> (14/47,3/10) Hyperbolic Matrix(1457,506,406,141) (-8/23,-1/3) -> (61/17,18/5) Hyperbolic Matrix(1339,428,560,179) (-1/3,-7/22) -> (43/18,55/23) Hyperbolic Matrix(1113,352,332,105) (-7/22,-6/19) -> (10/3,47/14) Hyperbolic Matrix(2997,944,1108,349) (-6/19,-11/35) -> (73/27,46/17) Hyperbolic Matrix(2381,746,1382,433) (-11/35,-5/16) -> (31/18,81/47) Hyperbolic Matrix(939,292,164,51) (-5/16,-9/29) -> (17/3,23/4) Hyperbolic Matrix(1157,358,934,289) (-13/42,-4/13) -> (26/21,5/4) Hyperbolic Matrix(603,184,272,83) (-4/13,-7/23) -> (11/5,20/9) Hyperbolic Matrix(1965,596,544,165) (-7/23,-10/33) -> (18/5,47/13) Hyperbolic Matrix(4689,1420,3596,1089) (-10/33,-23/76) -> (73/56,30/23) Hyperbolic Matrix(545,164,216,65) (-13/43,-3/10) -> (5/2,33/13) Hyperbolic Matrix(271,80,376,111) (-3/10,-5/17) -> (5/7,13/18) Hyperbolic Matrix(2583,758,3118,915) (-5/17,-22/75) -> (24/29,29/35) Hyperbolic Matrix(2581,756,536,157) (-17/58,-12/41) -> (24/5,29/6) Hyperbolic Matrix(1397,408,428,125) (-12/41,-7/24) -> (13/4,36/11) Hyperbolic Matrix(4665,1358,2518,733) (-23/79,-16/55) -> (50/27,13/7) Hyperbolic Matrix(2037,592,320,93) (-16/55,-9/31) -> (19/3,32/5) Hyperbolic Matrix(4817,1396,3316,961) (-20/69,-11/38) -> (61/42,16/11) Hyperbolic Matrix(3097,892,1920,553) (-13/45,-2/7) -> (50/31,121/75) Hyperbolic Matrix(1221,346,794,225) (-2/7,-13/46) -> (43/28,20/13) Hyperbolic Matrix(3017,850,898,253) (-11/39,-9/32) -> (47/14,37/11) Hyperbolic Matrix(3593,1010,1270,357) (-9/32,-25/89) -> (65/23,17/6) Hyperbolic Matrix(1269,356,-5600,-1571) (-16/57,-7/25) -> (-17/75,-12/53) Hyperbolic Matrix(265,74,-1214,-339) (-7/25,-5/18) -> (-7/32,-5/23) Hyperbolic Matrix(945,262,422,117) (-5/18,-13/47) -> (29/13,9/4) Hyperbolic Matrix(4937,1364,3044,841) (-21/76,-8/29) -> (60/37,13/8) Hyperbolic Matrix(6085,1676,4404,1213) (-8/29,-19/69) -> (29/21,76/55) Hyperbolic Matrix(2043,562,578,159) (-19/69,-11/40) -> (7/2,39/11) Hyperbolic Matrix(51,14,-470,-129) (-11/40,-3/11) -> (-1/9,-1/10) Hyperbolic Matrix(155,42,262,71) (-3/11,-4/15) -> (10/17,3/5) Hyperbolic Matrix(827,220,312,83) (-4/15,-9/34) -> (37/14,8/3) Hyperbolic Matrix(311,82,1134,299) (-9/34,-5/19) -> (3/11,11/40) Hyperbolic Matrix(5049,1324,2780,729) (-16/61,-11/42) -> (69/38,20/11) Hyperbolic Matrix(4939,1292,3192,835) (-11/42,-17/65) -> (17/11,65/42) Hyperbolic Matrix(4053,1052,2824,733) (-13/50,-7/27) -> (33/23,89/62) Hyperbolic Matrix(1641,424,716,185) (-7/27,-1/4) -> (55/24,39/17) Hyperbolic Matrix(447,106,350,83) (-1/4,-4/17) -> (14/11,23/18) Hyperbolic Matrix(1143,268,644,151) (-4/17,-7/30) -> (39/22,16/9) Hyperbolic Matrix(2775,646,494,115) (-7/30,-10/43) -> (28/5,45/8) Hyperbolic Matrix(5249,1220,2276,529) (-10/43,-13/56) -> (83/36,30/13) Hyperbolic Matrix(887,204,100,23) (-3/13,-14/61) -> (26/3,9/1) Hyperbolic Matrix(4043,926,2266,519) (-11/48,-8/35) -> (66/37,25/14) Hyperbolic Matrix(5959,1360,7532,1719) (-21/92,-13/57) -> (53/67,19/24) Hyperbolic Matrix(887,202,786,179) (-13/57,-5/22) -> (9/8,17/15) Hyperbolic Matrix(2213,502,8010,1817) (-5/22,-17/75) -> (29/105,21/76) Hyperbolic Matrix(5843,1322,3390,767) (-12/53,-7/31) -> (81/47,50/29) Hyperbolic Matrix(1325,298,538,121) (-9/40,-2/9) -> (32/13,5/2) Hyperbolic Matrix(389,86,294,65) (-2/9,-9/41) -> (25/19,4/3) Hyperbolic Matrix(2627,576,488,107) (-9/41,-7/32) -> (43/8,27/5) Hyperbolic Matrix(5337,1156,2036,441) (-13/60,-8/37) -> (76/29,21/8) Hyperbolic Matrix(679,146,386,83) (-8/37,-3/14) -> (7/4,30/17) Hyperbolic Matrix(3091,658,4054,863) (-13/61,-10/47) -> (16/21,45/59) Hyperbolic Matrix(1929,410,1642,349) (-10/47,-7/33) -> (27/23,20/17) Hyperbolic Matrix(869,184,3084,653) (-7/33,-11/52) -> (9/32,11/39) Hyperbolic Matrix(1877,396,820,173) (-11/52,-4/19) -> (16/7,55/24) Hyperbolic Matrix(49,10,142,29) (-4/19,-1/5) -> (1/3,6/17) Hyperbolic Matrix(1365,262,422,81) (-5/26,-4/21) -> (42/13,13/4) Hyperbolic Matrix(937,178,658,125) (-4/21,-3/16) -> (37/26,10/7) Hyperbolic Matrix(2101,392,1356,253) (-3/16,-8/43) -> (48/31,31/20) Hyperbolic Matrix(2239,416,1028,191) (-8/43,-5/27) -> (37/17,24/11) Hyperbolic Matrix(1817,336,1260,233) (-5/27,-7/38) -> (49/34,13/9) Hyperbolic Matrix(1723,316,976,179) (-7/38,-2/11) -> (30/17,53/30) Hyperbolic Matrix(1439,260,880,159) (-2/11,-7/39) -> (67/41,18/11) Hyperbolic Matrix(693,124,788,141) (-7/39,-5/28) -> (7/8,15/17) Hyperbolic Matrix(1201,214,926,165) (-5/28,-3/17) -> (35/27,13/10) Hyperbolic Matrix(137,24,508,89) (-3/17,-1/6) -> (7/26,3/11) Hyperbolic Matrix(1631,264,1180,191) (-1/6,-4/25) -> (76/55,47/34) Hyperbolic Matrix(2619,416,724,115) (-4/25,-3/19) -> (47/13,76/21) Hyperbolic Matrix(1397,218,314,49) (-5/32,-2/13) -> (40/9,9/2) Hyperbolic Matrix(6317,960,1928,293) (-7/46,-5/33) -> (95/29,59/18) Hyperbolic Matrix(1745,264,2016,305) (-5/33,-8/53) -> (32/37,13/15) Hyperbolic Matrix(1385,206,2454,365) (-3/20,-4/27) -> (22/39,35/62) Hyperbolic Matrix(1513,222,1070,157) (-4/27,-1/7) -> (41/29,58/41) Hyperbolic Matrix(43,6,222,31) (-1/7,-2/15) -> (4/21,1/5) Hyperbolic Matrix(479,62,394,51) (-2/15,-1/8) -> (17/14,28/23) Hyperbolic Matrix(1121,134,778,93) (-1/8,-2/17) -> (36/25,49/34) Hyperbolic Matrix(1421,166,214,25) (-2/17,-3/26) -> (53/8,20/3) Hyperbolic Matrix(587,54,250,23) (-1/10,-1/11) -> (7/3,47/20) Hyperbolic Matrix(101,-14,166,-23) (0/1,1/7) -> (3/5,14/23) Hyperbolic Matrix(231,-34,34,-5) (1/7,2/13) -> (20/3,7/1) Hyperbolic Matrix(163,-26,558,-89) (2/13,1/6) -> (7/24,12/41) Hyperbolic Matrix(1619,-280,584,-101) (1/6,4/23) -> (36/13,61/22) Hyperbolic Matrix(451,-80,840,-149) (3/17,5/28) -> (15/28,7/13) Hyperbolic Matrix(2287,-410,1322,-237) (5/28,2/11) -> (64/37,45/26) Hyperbolic Matrix(739,-136,288,-53) (2/11,3/16) -> (41/16,18/7) Hyperbolic Matrix(1885,-356,736,-139) (3/16,4/21) -> (64/25,41/16) Hyperbolic Matrix(315,-64,64,-13) (1/5,6/29) -> (34/7,5/1) Hyperbolic Matrix(1445,-302,378,-79) (5/24,4/19) -> (42/11,23/6) Hyperbolic Matrix(1003,-212,440,-93) (4/19,3/14) -> (41/18,16/7) Hyperbolic Matrix(687,-148,376,-81) (3/14,5/23) -> (31/17,11/6) Hyperbolic Matrix(499,-110,186,-41) (5/23,2/9) -> (8/3,35/13) Hyperbolic Matrix(403,-92,92,-21) (2/9,3/13) -> (13/3,22/5) Hyperbolic Matrix(431,-100,556,-129) (3/13,4/17) -> (24/31,7/9) Hyperbolic Matrix(459,-110,338,-81) (4/17,1/4) -> (19/14,34/25) Hyperbolic Matrix(1207,-314,542,-141) (1/4,6/23) -> (20/9,49/22) Hyperbolic Matrix(1445,-378,302,-79) (6/23,5/19) -> (43/9,24/5) Hyperbolic Matrix(241,-64,900,-239) (5/19,4/15) -> (4/15,11/41) Parabolic Matrix(1377,-370,1738,-467) (11/41,7/26) -> (19/24,23/29) Hyperbolic Matrix(3099,-854,1310,-361) (11/40,8/29) -> (26/11,71/30) Hyperbolic Matrix(14383,-3972,3364,-929) (8/29,29/105) -> (47/11,124/29) Hyperbolic Matrix(1633,-456,684,-191) (5/18,7/25) -> (31/13,43/18) Hyperbolic Matrix(2225,-624,624,-175) (7/25,9/32) -> (57/16,25/7) Hyperbolic Matrix(325,-94,854,-247) (2/7,7/24) -> (19/50,8/21) Hyperbolic Matrix(4937,-1446,1294,-379) (12/41,17/58) -> (61/16,42/11) Hyperbolic Matrix(439,-130,206,-61) (5/17,8/27) -> (2/1,15/7) Hyperbolic Matrix(2841,-844,616,-183) (8/27,11/37) -> (23/5,60/13) Hyperbolic Matrix(1079,-326,1314,-397) (3/10,10/33) -> (32/39,23/28) Hyperbolic Matrix(1573,-478,2682,-815) (10/33,7/23) -> (17/29,44/75) Hyperbolic Matrix(1135,-346,1486,-453) (7/23,11/36) -> (29/38,13/17) Hyperbolic Matrix(87,-28,28,-9) (4/13,1/3) -> (3/1,16/5) Hyperbolic Matrix(281,-100,784,-279) (6/17,5/14) -> (5/14,14/39) Parabolic Matrix(1341,-482,1622,-583) (14/39,9/25) -> (19/23,24/29) Hyperbolic Matrix(1619,-584,280,-101) (9/25,13/36) -> (23/4,29/5) Hyperbolic Matrix(2513,-908,1060,-383) (13/36,4/11) -> (64/27,19/8) Hyperbolic Matrix(251,-92,472,-173) (4/11,11/30) -> (1/2,8/15) Hyperbolic Matrix(1861,-684,1140,-419) (11/30,7/19) -> (31/19,49/30) Hyperbolic Matrix(2109,-778,778,-287) (7/19,17/46) -> (65/24,19/7) Hyperbolic Matrix(3551,-1314,554,-205) (27/73,10/27) -> (32/5,45/7) Hyperbolic Matrix(499,-186,110,-41) (10/27,3/8) -> (9/2,32/7) Hyperbolic Matrix(523,-198,1186,-449) (3/8,11/29) -> (11/25,15/34) Hyperbolic Matrix(3001,-1140,4104,-1559) (11/29,19/50) -> (19/26,49/67) Hyperbolic Matrix(715,-274,274,-105) (8/21,5/13) -> (13/5,34/13) Hyperbolic Matrix(191,-74,302,-117) (5/13,2/5) -> (12/19,7/11) Hyperbolic Matrix(459,-188,188,-77) (2/5,7/17) -> (17/7,22/9) Hyperbolic Matrix(1399,-578,806,-333) (7/17,12/29) -> (26/15,33/19) Hyperbolic Matrix(859,-356,1344,-557) (12/29,5/12) -> (23/36,16/25) Hyperbolic Matrix(1633,-684,456,-191) (5/12,13/31) -> (25/7,43/12) Hyperbolic Matrix(857,-360,588,-247) (13/31,8/19) -> (16/11,19/13) Hyperbolic Matrix(2513,-1060,908,-383) (8/19,19/45) -> (47/17,36/13) Hyperbolic Matrix(3099,-1310,854,-361) (19/45,11/26) -> (29/8,69/19) Hyperbolic Matrix(241,-102,26,-11) (11/26,3/7) -> (9/1,1/0) Hyperbolic Matrix(371,-160,160,-69) (3/7,10/23) -> (30/13,7/3) Hyperbolic Matrix(1455,-634,1774,-773) (10/23,17/39) -> (9/11,32/39) Hyperbolic Matrix(1003,-440,212,-93) (7/16,11/25) -> (33/7,19/4) Hyperbolic Matrix(1207,-542,314,-141) (13/29,9/20) -> (23/6,27/7) Hyperbolic Matrix(469,-214,366,-167) (5/11,6/13) -> (32/25,9/7) Hyperbolic Matrix(439,-206,130,-61) (6/13,1/2) -> (27/8,44/13) Hyperbolic Matrix(493,-268,344,-187) (7/13,6/11) -> (10/7,33/23) Hyperbolic Matrix(687,-376,148,-81) (6/11,11/20) -> (37/8,14/3) Hyperbolic Matrix(441,-244,244,-135) (11/20,5/9) -> (9/5,29/16) Hyperbolic Matrix(1073,-600,828,-463) (5/9,14/25) -> (22/17,35/27) Hyperbolic Matrix(2119,-1188,2556,-1433) (37/66,23/41) -> (29/35,5/6) Hyperbolic Matrix(2993,-1680,1680,-943) (23/41,9/16) -> (57/32,41/23) Hyperbolic Matrix(3643,-2058,1602,-905) (35/62,13/23) -> (25/11,91/40) Hyperbolic Matrix(1311,-742,970,-549) (13/23,17/30) -> (27/20,23/17) Hyperbolic Matrix(1399,-806,578,-333) (4/7,15/26) -> (29/12,46/19) Hyperbolic Matrix(1759,-1016,2384,-1377) (15/26,26/45) -> (14/19,31/42) Hyperbolic Matrix(2287,-1322,410,-237) (26/45,11/19) -> (39/7,28/5) Hyperbolic Matrix(337,-196,576,-335) (11/19,7/12) -> (7/12,17/29) Parabolic Matrix(7305,-4286,9986,-5859) (44/75,27/46) -> (79/108,30/41) Hyperbolic Matrix(1227,-748,520,-317) (14/23,11/18) -> (33/14,26/11) Hyperbolic Matrix(1861,-1140,684,-419) (11/18,19/31) -> (19/7,49/18) Hyperbolic Matrix(1249,-766,918,-563) (19/31,8/13) -> (34/25,15/11) Hyperbolic Matrix(987,-610,610,-377) (8/13,13/21) -> (21/13,34/21) Hyperbolic Matrix(351,-218,446,-277) (13/21,5/8) -> (11/14,15/19) Hyperbolic Matrix(513,-322,94,-59) (5/8,17/27) -> (27/5,11/2) Hyperbolic Matrix(3613,-2276,1516,-955) (17/27,29/46) -> (81/34,31/13) Hyperbolic Matrix(2889,-1822,4102,-2587) (29/46,12/19) -> (50/71,31/44) Hyperbolic Matrix(1879,-1200,440,-281) (7/11,23/36) -> (17/4,47/11) Hyperbolic Matrix(1111,-712,788,-505) (16/25,9/14) -> (31/22,24/17) Hyperbolic Matrix(301,-194,346,-223) (9/14,11/17) -> (13/15,7/8) Hyperbolic Matrix(391,-254,254,-165) (11/17,2/3) -> (20/13,17/11) Hyperbolic Matrix(857,-588,360,-247) (2/3,11/16) -> (19/8,50/21) Hyperbolic Matrix(585,-404,404,-279) (11/16,9/13) -> (13/9,29/20) Hyperbolic Matrix(1479,-1028,1256,-873) (25/36,16/23) -> (20/17,33/28) Hyperbolic Matrix(493,-344,268,-187) (16/23,7/10) -> (11/6,24/13) Hyperbolic Matrix(2431,-1710,1406,-989) (26/37,19/27) -> (19/11,64/37) Hyperbolic Matrix(3187,-2246,1182,-833) (31/44,12/17) -> (62/23,27/10) Hyperbolic Matrix(3229,-2282,2738,-1935) (12/17,41/58) -> (33/28,46/39) Hyperbolic Matrix(3649,-2582,2582,-1827) (29/41,17/24) -> (65/46,41/29) Hyperbolic Matrix(1111,-788,712,-505) (17/24,5/7) -> (39/25,25/16) Hyperbolic Matrix(353,-256,484,-351) (13/18,8/11) -> (8/11,19/26) Parabolic Matrix(11391,-8332,13804,-10097) (49/67,79/108) -> (33/40,85/103) Hyperbolic Matrix(459,-338,110,-81) (11/15,14/19) -> (4/1,21/5) Hyperbolic Matrix(4963,-3664,852,-629) (31/42,48/65) -> (64/11,35/6) Hyperbolic Matrix(8479,-6264,4896,-3617) (48/65,17/23) -> (71/41,168/97) Hyperbolic Matrix(1311,-970,742,-549) (17/23,3/4) -> (53/30,23/13) Hyperbolic Matrix(1963,-1494,2482,-1889) (19/25,16/21) -> (34/43,53/67) Hyperbolic Matrix(6833,-5212,1488,-1135) (45/59,29/38) -> (101/22,23/5) Hyperbolic Matrix(731,-560,560,-429) (13/17,10/13) -> (30/23,17/13) Hyperbolic Matrix(1073,-828,600,-463) (10/13,17/22) -> (25/14,34/19) Hyperbolic Matrix(1907,-1476,792,-613) (17/22,24/31) -> (12/5,53/22) Hyperbolic Matrix(469,-366,214,-167) (7/9,18/23) -> (24/11,11/5) Hyperbolic Matrix(1805,-1426,2186,-1727) (15/19,34/43) -> (52/63,19/23) Hyperbolic Matrix(1399,-1110,1186,-941) (23/29,4/5) -> (46/39,13/11) Hyperbolic Matrix(231,-188,188,-153) (4/5,9/11) -> (11/9,16/13) Hyperbolic Matrix(1603,-1322,1854,-1529) (14/17,33/40) -> (19/22,32/37) Hyperbolic Matrix(17197,-14192,4996,-4123) (85/103,52/63) -> (148/43,31/9) Hyperbolic Matrix(289,-242,166,-139) (5/6,11/13) -> (33/19,7/4) Hyperbolic Matrix(1479,-1256,1028,-873) (11/13,17/20) -> (23/16,59/41) Hyperbolic Matrix(1107,-944,944,-805) (23/27,6/7) -> (34/29,27/23) Hyperbolic Matrix(1223,-1096,260,-233) (8/9,9/10) -> (47/10,80/17) Hyperbolic Matrix(657,-596,140,-127) (9/10,1/1) -> (61/13,47/10) Hyperbolic Matrix(653,-714,182,-199) (1/1,10/9) -> (104/29,61/17) Hyperbolic Matrix(1347,-1504,592,-661) (10/9,9/8) -> (91/40,66/29) Hyperbolic Matrix(301,-346,194,-223) (8/7,7/6) -> (31/20,14/9) Hyperbolic Matrix(2941,-3442,1086,-1271) (7/6,34/29) -> (176/65,65/24) Hyperbolic Matrix(591,-700,244,-289) (13/11,6/5) -> (46/19,17/7) Hyperbolic Matrix(1067,-1290,378,-457) (6/5,23/19) -> (31/11,48/17) Hyperbolic Matrix(2441,-2956,1512,-1831) (23/19,40/33) -> (92/57,21/13) Hyperbolic Matrix(2817,-3416,1820,-2207) (40/33,17/14) -> (65/42,48/31) Hyperbolic Matrix(1079,-1314,326,-397) (28/23,11/9) -> (43/13,10/3) Hyperbolic Matrix(715,-882,578,-713) (16/13,21/17) -> (21/17,26/21) Parabolic Matrix(351,-446,218,-277) (5/4,14/11) -> (8/5,29/18) Hyperbolic Matrix(2317,-2964,684,-875) (23/18,32/25) -> (44/13,61/18) Hyperbolic Matrix(431,-556,100,-129) (9/7,22/17) -> (30/7,13/3) Hyperbolic Matrix(2839,-3698,2178,-2837) (13/10,43/33) -> (43/33,73/56) Parabolic Matrix(1135,-1486,346,-453) (17/13,21/16) -> (59/18,23/7) Hyperbolic Matrix(3285,-4316,2036,-2675) (21/16,25/19) -> (121/75,71/44) Hyperbolic Matrix(1759,-2384,1016,-1377) (23/17,19/14) -> (45/26,71/41) Hyperbolic Matrix(353,-484,256,-351) (15/11,11/8) -> (11/8,29/21) Parabolic Matrix(1531,-2118,446,-617) (47/34,18/13) -> (24/7,55/16) Hyperbolic Matrix(1089,-1534,394,-555) (7/5,31/22) -> (11/4,47/17) Hyperbolic Matrix(3213,-4538,662,-935) (24/17,89/63) -> (63/13,34/7) Hyperbolic Matrix(4725,-6676,976,-1379) (89/63,65/46) -> (29/6,63/13) Hyperbolic Matrix(3037,-4298,802,-1135) (58/41,17/12) -> (53/14,72/19) Hyperbolic Matrix(2089,-2964,456,-647) (17/12,44/31) -> (32/7,55/12) Hyperbolic Matrix(1555,-2208,612,-869) (44/31,27/19) -> (33/13,28/11) Hyperbolic Matrix(1223,-1740,220,-313) (27/19,37/26) -> (11/2,39/7) Hyperbolic Matrix(9439,-13550,2606,-3741) (89/62,56/39) -> (134/37,29/8) Hyperbolic Matrix(3571,-5130,1482,-2129) (56/39,23/16) -> (53/22,94/39) Hyperbolic Matrix(3427,-4932,904,-1301) (59/41,36/25) -> (72/19,19/5) Hyperbolic Matrix(2791,-4050,1922,-2789) (29/20,45/31) -> (45/31,61/42) Parabolic Matrix(709,-1038,278,-407) (19/13,3/2) -> (51/20,23/9) Hyperbolic Matrix(691,-1058,450,-689) (3/2,23/15) -> (23/15,43/28) Parabolic Matrix(2005,-3126,846,-1319) (14/9,39/25) -> (45/19,64/27) Hyperbolic Matrix(859,-1344,356,-557) (25/16,11/7) -> (41/17,29/12) Hyperbolic Matrix(191,-302,74,-117) (11/7,8/5) -> (18/7,13/5) Hyperbolic Matrix(2255,-3636,596,-961) (29/18,50/31) -> (34/9,53/14) Hyperbolic Matrix(10453,-16870,3038,-4903) (71/44,92/57) -> (86/25,117/34) Hyperbolic Matrix(2727,-4418,1682,-2725) (34/21,47/29) -> (47/29,60/37) Parabolic Matrix(491,-800,116,-189) (13/8,31/19) -> (21/5,17/4) Hyperbolic Matrix(6839,-11174,2510,-4101) (49/30,67/41) -> (79/29,109/40) Hyperbolic Matrix(101,-166,14,-23) (18/11,5/3) -> (7/1,8/1) Hyperbolic Matrix(337,-576,196,-335) (17/10,12/7) -> (12/7,31/18) Parabolic Matrix(1283,-2214,390,-673) (50/29,19/11) -> (23/7,56/17) Hyperbolic Matrix(48349,-83740,14048,-24331) (168/97,265/153) -> (265/77,148/43) Hyperbolic Matrix(32741,-56710,9514,-16479) (265/153,97/56) -> (117/34,265/77) Hyperbolic Matrix(5715,-9902,1238,-2145) (97/56,26/15) -> (60/13,157/34) Hyperbolic Matrix(2195,-3886,466,-825) (23/13,62/35) -> (80/17,33/7) Hyperbolic Matrix(2981,-5304,820,-1459) (16/9,73/41) -> (149/41,40/11) Hyperbolic Matrix(9237,-16450,2542,-4527) (73/41,57/32) -> (109/30,149/41) Hyperbolic Matrix(3509,-6258,1242,-2215) (41/23,66/37) -> (48/17,65/23) Hyperbolic Matrix(2647,-4802,1458,-2645) (29/16,49/27) -> (49/27,69/38) Parabolic Matrix(1495,-2724,444,-809) (20/11,31/17) -> (37/11,64/19) Hyperbolic Matrix(1601,-2958,374,-691) (24/13,37/20) -> (77/18,30/7) Hyperbolic Matrix(4559,-8438,1066,-1973) (37/20,50/27) -> (124/29,77/18) Hyperbolic Matrix(251,-472,92,-173) (13/7,2/1) -> (30/11,41/15) Hyperbolic Matrix(313,-676,144,-311) (15/7,13/6) -> (13/6,37/17) Parabolic Matrix(2401,-5350,942,-2099) (49/22,29/13) -> (79/31,51/20) Hyperbolic Matrix(523,-1186,198,-449) (9/4,25/11) -> (29/11,37/14) Hyperbolic Matrix(3119,-7102,870,-1981) (66/29,41/18) -> (43/12,104/29) Hyperbolic Matrix(991,-2276,300,-689) (39/17,23/10) -> (33/10,43/13) Hyperbolic Matrix(2439,-5618,1058,-2437) (23/10,53/23) -> (53/23,83/36) Parabolic Matrix(3277,-7706,714,-1679) (47/20,40/17) -> (78/17,101/22) Hyperbolic Matrix(2027,-4774,442,-1041) (40/17,33/14) -> (55/12,78/17) Hyperbolic Matrix(4141,-9804,1140,-2699) (71/30,45/19) -> (69/19,109/30) Hyperbolic Matrix(787,-1874,202,-481) (50/21,81/34) -> (31/8,4/1) Hyperbolic Matrix(627,-1502,134,-321) (55/23,12/5) -> (14/3,61/13) Hyperbolic Matrix(6373,-15364,1760,-4243) (94/39,41/17) -> (105/29,134/37) Hyperbolic Matrix(595,-1458,242,-593) (22/9,27/11) -> (27/11,32/13) Parabolic Matrix(2303,-5868,396,-1009) (28/11,79/31) -> (29/5,64/11) Hyperbolic Matrix(2311,-6050,882,-2309) (34/13,55/21) -> (55/21,76/29) Parabolic Matrix(325,-854,94,-247) (21/8,29/11) -> (31/9,7/2) Hyperbolic Matrix(679,-1830,82,-221) (35/13,62/23) -> (8/1,25/3) Hyperbolic Matrix(1837,-4966,482,-1303) (27/10,73/27) -> (19/5,61/16) Hyperbolic Matrix(9103,-24642,3362,-9101) (46/17,111/41) -> (111/41,176/65) Parabolic Matrix(6467,-17624,1816,-4949) (109/40,30/11) -> (146/41,57/16) Hyperbolic Matrix(743,-2032,132,-361) (41/15,11/4) -> (45/8,17/3) Hyperbolic Matrix(2467,-6842,534,-1481) (61/22,25/9) -> (97/21,37/8) Hyperbolic Matrix(281,-784,100,-279) (25/9,14/5) -> (14/5,31/11) Parabolic Matrix(523,-1682,162,-521) (16/5,29/9) -> (29/9,42/13) Parabolic Matrix(1227,-4018,142,-465) (36/11,95/29) -> (43/5,26/3) Hyperbolic Matrix(1795,-5918,522,-1721) (56/17,33/10) -> (55/16,86/25) Hyperbolic Matrix(713,-2402,122,-411) (64/19,27/8) -> (35/6,6/1) Hyperbolic Matrix(163,-558,26,-89) (17/5,24/7) -> (6/1,19/3) Hyperbolic Matrix(4451,-15842,1250,-4449) (32/9,89/25) -> (89/25,146/41) Parabolic Matrix(241,-900,64,-239) (26/7,15/4) -> (15/4,34/9) Parabolic Matrix(1875,-7246,406,-1569) (27/7,31/8) -> (157/34,97/21) Hyperbolic Matrix(435,-1922,98,-433) (22/5,31/7) -> (31/7,40/9) Parabolic Matrix(297,-1414,46,-219) (19/4,43/9) -> (45/7,13/2) Hyperbolic Matrix(193,-1024,36,-191) (21/4,16/3) -> (16/3,43/8) Parabolic Matrix(331,-2178,50,-329) (13/2,33/5) -> (33/5,53/8) Parabolic Matrix(137,-1156,16,-135) (25/3,17/2) -> (17/2,43/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,72,1) Matrix(355,166,-926,-433) -> Matrix(65,-2,1398,-43) Matrix(73,34,-642,-299) -> Matrix(63,-2,158,-5) Matrix(1277,592,1840,853) -> Matrix(245,-8,-3828,125) Matrix(635,292,772,355) -> Matrix(187,-6,-3210,103) Matrix(351,160,68,31) -> Matrix(59,-2,-1858,63) Matrix(1669,756,2360,1069) -> Matrix(127,-4,-2000,63) Matrix(3813,1724,2152,973) -> Matrix(181,-6,-4374,145) Matrix(833,376,-3188,-1439) -> Matrix(237,-8,2696,-91) Matrix(413,186,-1934,-871) -> Matrix(117,-4,1024,-35) Matrix(205,92,-1308,-587) -> Matrix(173,-6,894,-31) Matrix(1103,494,3990,1787) -> Matrix(113,-4,-932,33) Matrix(1509,674,2062,921) -> Matrix(449,-16,-7212,257) Matrix(749,330,202,89) -> Matrix(167,-6,-4982,179) Matrix(1219,536,680,299) -> Matrix(1,0,-52,1) Matrix(1153,506,1014,445) -> Matrix(383,-14,-7742,283) Matrix(4057,1778,1490,653) -> Matrix(213,-8,-5884,221) Matrix(1549,676,1148,501) -> Matrix(167,-6,-3646,131) Matrix(1821,794,2626,1145) -> Matrix(51,-2,-790,31) Matrix(3433,1496,1012,441) -> Matrix(57,-2,-1738,61) Matrix(809,352,940,409) -> Matrix(331,-12,-5820,211) Matrix(941,408,1340,581) -> Matrix(435,-16,-6824,251) Matrix(65,28,-332,-143) -> Matrix(53,-2,398,-15) Matrix(197,84,68,29) -> Matrix(53,-2,-1510,57) Matrix(1121,474,2566,1085) -> Matrix(155,-6,-1834,71) Matrix(4209,1778,1186,501) -> Matrix(205,-8,-5868,229) Matrix(2237,944,2628,1109) -> Matrix(713,-28,-12452,489) Matrix(261,110,-1706,-719) -> Matrix(101,-4,480,-19) Matrix(523,220,920,387) -> Matrix(103,-4,-1416,55) Matrix(653,274,-3010,-1263) -> Matrix(101,-4,884,-35) Matrix(721,302,-1898,-795) -> Matrix(49,-2,1054,-43) Matrix(453,188,-2012,-835) -> Matrix(349,-14,3166,-127) Matrix(3697,1532,6296,2609) -> Matrix(1637,-66,-23042,929) Matrix(3245,1344,-8564,-3547) -> Matrix(199,-8,4204,-169) Matrix(1035,428,1168,483) -> Matrix(493,-20,-8800,357) Matrix(1423,588,-4920,-2033) -> Matrix(491,-20,6604,-269) Matrix(2975,1228,5308,2191) -> Matrix(197,-8,-2684,109) Matrix(63,26,-710,-293) -> Matrix(49,-2,74,-3) Matrix(389,160,-1680,-691) -> Matrix(99,-4,916,-37) Matrix(1033,424,1932,793) -> Matrix(195,-8,-2608,107) Matrix(835,342,1482,607) -> Matrix(47,-2,-634,27) Matrix(451,184,576,235) -> Matrix(243,-10,-4058,167) Matrix(877,346,2010,793) -> Matrix(181,-8,-2104,93) Matrix(875,344,-3004,-1181) -> Matrix(89,-4,1224,-55) Matrix(377,148,-2504,-983) -> Matrix(181,-8,792,-35) Matrix(623,244,-2372,-929) -> Matrix(269,-12,3116,-139) Matrix(1371,536,376,147) -> Matrix(1,0,-52,1) Matrix(687,268,1556,607) -> Matrix(45,-2,-562,25) Matrix(311,120,184,71) -> Matrix(131,-6,-3122,143) Matrix(1357,520,-5916,-2267) -> Matrix(1,0,-12,1) Matrix(679,260,2400,919) -> Matrix(43,-2,-322,15) Matrix(3695,1414,5046,1931) -> Matrix(1469,-68,-23612,1093) Matrix(1597,610,-5778,-2207) -> Matrix(773,-36,9684,-451) Matrix(493,188,1104,421) -> Matrix(85,-4,-956,45) Matrix(5027,1912,1964,747) -> Matrix(341,-16,-9484,445) Matrix(1163,442,1534,583) -> Matrix(297,-14,-4858,229) Matrix(12179,4616,3364,1275) -> Matrix(213,-10,-6326,297) Matrix(2081,788,-7096,-2687) -> Matrix(509,-24,7020,-331) Matrix(1037,392,3484,1317) -> Matrix(549,-26,-4582,217) Matrix(673,254,-2382,-899) -> Matrix(463,-22,5998,-285) Matrix(967,360,-4236,-1577) -> Matrix(411,-20,3884,-189) Matrix(1087,404,-3748,-1393) -> Matrix(573,-28,7756,-379) Matrix(905,336,3084,1145) -> Matrix(41,-2,-430,21) Matrix(723,268,-2776,-1029) -> Matrix(81,-4,952,-47) Matrix(481,178,1570,581) -> Matrix(325,-16,-2864,141) Matrix(601,222,2894,1069) -> Matrix(81,-4,-344,17) Matrix(1929,712,-6868,-2535) -> Matrix(485,-24,6204,-307) Matrix(419,154,302,111) -> Matrix(201,-10,-4442,221) Matrix(2559,926,3634,1315) -> Matrix(431,-22,-6798,347) Matrix(1549,560,-5120,-1851) -> Matrix(859,-44,12436,-637) Matrix(593,214,2142,773) -> Matrix(311,-16,-2624,135) Matrix(295,106,654,235) -> Matrix(193,-10,-2258,117) Matrix(529,188,-1708,-607) -> Matrix(341,-18,5134,-271) Matrix(175,62,1002,355) -> Matrix(113,-6,-546,29) Matrix(999,352,1700,599) -> Matrix(635,-34,-8946,479) Matrix(1169,410,3162,1109) -> Matrix(519,-28,-5468,295) Matrix(349,122,1170,409) -> Matrix(221,-12,-1860,101) Matrix(1457,506,406,141) -> Matrix(255,-14,-7486,411) Matrix(1339,428,560,179) -> Matrix(317,-20,-8448,533) Matrix(1113,352,332,105) -> Matrix(187,-12,-5532,355) Matrix(2997,944,1108,349) -> Matrix(433,-28,-11892,769) Matrix(2381,746,1382,433) -> Matrix(767,-50,-18454,1203) Matrix(939,292,164,51) -> Matrix(91,-6,-3018,199) Matrix(1157,358,934,289) -> Matrix(511,-34,-10746,715) Matrix(603,184,272,83) -> Matrix(147,-10,-3866,263) Matrix(1965,596,544,165) -> Matrix(233,-16,-6888,473) Matrix(4689,1420,3596,1089) -> Matrix(1625,-112,-34952,2409) Matrix(545,164,216,65) -> Matrix(115,-8,-3148,219) Matrix(271,80,376,111) -> Matrix(139,-10,-2210,159) Matrix(2583,758,3118,915) -> Matrix(219,-16,-3764,275) Matrix(2581,756,536,157) -> Matrix(55,-4,-1856,135) Matrix(1397,408,428,125) -> Matrix(219,-16,-6392,467) Matrix(4665,1358,2518,733) -> Matrix(191,-14,-4734,347) Matrix(2037,592,320,93) -> Matrix(109,-8,-3556,261) Matrix(4817,1396,3316,961) -> Matrix(1297,-96,-29196,2161) Matrix(3097,892,1920,553) -> Matrix(269,-20,-6308,469) Matrix(1221,346,794,225) -> Matrix(391,-30,-9006,691) Matrix(3017,850,898,253) -> Matrix(335,-26,-9934,771) Matrix(3593,1010,1270,357) -> Matrix(461,-36,-12972,1013) Matrix(1269,356,-5600,-1571) -> Matrix(103,-8,940,-73) Matrix(265,74,-1214,-339) -> Matrix(25,-2,238,-19) Matrix(945,262,422,117) -> Matrix(51,-4,-1364,107) Matrix(4937,1364,3044,841) -> Matrix(1001,-80,-23536,1881) Matrix(6085,1676,4404,1213) -> Matrix(1141,-92,-25164,2029) Matrix(2043,562,578,159) -> Matrix(25,-2,-762,61) Matrix(51,14,-470,-129) -> Matrix(25,-2,38,-3) Matrix(155,42,262,71) -> Matrix(73,-6,-1034,85) Matrix(827,220,312,83) -> Matrix(47,-4,-1304,111) Matrix(311,82,1134,299) -> Matrix(1,0,-20,1) Matrix(5049,1324,2780,729) -> Matrix(737,-64,-18068,1569) Matrix(4939,1292,3192,835) -> Matrix(593,-52,-13696,1201) Matrix(4053,1052,2824,733) -> Matrix(157,-14,-3510,313) Matrix(1641,424,716,185) -> Matrix(91,-8,-2400,211) Matrix(447,106,350,83) -> Matrix(97,-10,-2066,213) Matrix(1143,268,644,151) -> Matrix(21,-2,-514,49) Matrix(2775,646,494,115) -> Matrix(77,-8,-2512,261) Matrix(5249,1220,2276,529) -> Matrix(305,-32,-8092,849) Matrix(887,204,100,23) -> Matrix(1,0,-44,1) Matrix(4043,926,2266,519) -> Matrix(75,-8,-1828,195) Matrix(5959,1360,7532,1719) -> Matrix(169,-18,-2826,301) Matrix(887,202,786,179) -> Matrix(187,-20,-3768,403) Matrix(2213,502,8010,1817) -> Matrix(129,-14,-1078,117) Matrix(5843,1322,3390,767) -> Matrix(681,-74,-16390,1781) Matrix(1325,298,538,121) -> Matrix(199,-22,-5382,595) Matrix(389,86,294,65) -> Matrix(69,-8,-1492,173) Matrix(2627,576,488,107) -> Matrix(65,-8,-2088,257) Matrix(5337,1156,2036,441) -> Matrix(137,-16,-3776,441) Matrix(679,146,386,83) -> Matrix(33,-4,-800,97) Matrix(3091,658,4054,863) -> Matrix(33,-4,-536,65) Matrix(1929,410,1642,349) -> Matrix(239,-28,-4908,575) Matrix(869,184,3084,653) -> Matrix(67,-8,-628,75) Matrix(1877,396,820,173) -> Matrix(49,-6,-1282,157) Matrix(49,10,142,29) -> Matrix(15,-2,-142,19) Matrix(1365,262,422,81) -> Matrix(127,-18,-3690,523) Matrix(937,178,658,125) -> Matrix(109,-16,-2432,357) Matrix(2101,392,1356,253) -> Matrix(165,-26,-3814,601) Matrix(2239,416,1028,191) -> Matrix(97,-16,-2528,417) Matrix(1817,336,1260,233) -> Matrix(17,-2,-382,45) Matrix(1723,316,976,179) -> Matrix(13,-2,-318,49) Matrix(1439,260,880,159) -> Matrix(11,-2,-258,47) Matrix(693,124,788,141) -> Matrix(93,-14,-1654,249) Matrix(1201,214,926,165) -> Matrix(103,-16,-2208,343) Matrix(137,24,508,89) -> Matrix(37,-6,-302,49) Matrix(1631,264,1180,191) -> Matrix(97,-16,-2140,353) Matrix(2619,416,724,115) -> Matrix(23,-4,-684,119) Matrix(1397,218,314,49) -> Matrix(71,-14,-2206,435) Matrix(6317,960,1928,293) -> Matrix(61,-14,-1782,409) Matrix(1745,264,2016,305) -> Matrix(67,-14,-1182,247) Matrix(1385,206,2454,365) -> Matrix(23,-6,-318,83) Matrix(1513,222,1070,157) -> Matrix(9,-4,-200,89) Matrix(43,6,222,31) -> Matrix(9,-2,-58,13) Matrix(479,62,394,51) -> Matrix(17,-6,-354,125) Matrix(1121,134,778,93) -> Matrix(27,-8,-604,179) Matrix(1421,166,214,25) -> Matrix(31,-10,-1026,331) Matrix(587,54,250,23) -> Matrix(1,0,-28,1) Matrix(101,-14,166,-23) -> Matrix(7,2,-102,-29) Matrix(231,-34,34,-5) -> Matrix(9,2,-302,-67) Matrix(163,-26,558,-89) -> Matrix(11,2,-94,-17) Matrix(1619,-280,584,-101) -> Matrix(33,8,-920,-223) Matrix(451,-80,840,-149) -> Matrix(1,0,-8,1) Matrix(2287,-410,1322,-237) -> Matrix(59,10,-1422,-241) Matrix(739,-136,288,-53) -> Matrix(11,2,-314,-57) Matrix(1885,-356,736,-139) -> Matrix(61,10,-1702,-279) Matrix(315,-64,64,-13) -> Matrix(1,0,-24,1) Matrix(1445,-302,378,-79) -> Matrix(23,4,-696,-121) Matrix(1003,-212,440,-93) -> Matrix(23,4,-604,-105) Matrix(687,-148,376,-81) -> Matrix(51,8,-1256,-197) Matrix(499,-110,186,-41) -> Matrix(27,4,-736,-109) Matrix(403,-92,92,-21) -> Matrix(43,6,-1326,-185) Matrix(431,-100,556,-129) -> Matrix(89,12,-1476,-199) Matrix(459,-110,338,-81) -> Matrix(49,6,-1070,-131) Matrix(1207,-314,542,-141) -> Matrix(91,12,-2404,-317) Matrix(1445,-378,302,-79) -> Matrix(31,4,-1000,-129) Matrix(241,-64,900,-239) -> Matrix(127,16,-1024,-129) Matrix(1377,-370,1738,-467) -> Matrix(357,44,-5996,-739) Matrix(3099,-854,1310,-361) -> Matrix(67,8,-1784,-213) Matrix(14383,-3972,3364,-929) -> Matrix(17,2,-502,-59) Matrix(1633,-456,684,-191) -> Matrix(157,18,-4178,-479) Matrix(2225,-624,624,-175) -> Matrix(89,10,-2590,-291) Matrix(325,-94,854,-247) -> Matrix(15,2,-158,-21) Matrix(4937,-1446,1294,-379) -> Matrix(39,4,-1180,-121) Matrix(439,-130,206,-61) -> Matrix(49,6,-1266,-155) Matrix(2841,-844,616,-183) -> Matrix(83,10,-2598,-313) Matrix(1079,-326,1314,-397) -> Matrix(89,10,-1522,-171) Matrix(1573,-478,2682,-815) -> Matrix(381,44,-5360,-619) Matrix(1135,-346,1486,-453) -> Matrix(263,30,-4322,-493) Matrix(87,-28,28,-9) -> Matrix(19,2,-542,-57) Matrix(281,-100,784,-279) -> Matrix(199,20,-2000,-201) Matrix(1341,-482,1622,-583) -> Matrix(565,56,-9716,-963) Matrix(1619,-584,280,-101) -> Matrix(81,8,-2744,-271) Matrix(2513,-908,1060,-383) -> Matrix(41,4,-1056,-103) Matrix(251,-92,472,-173) -> Matrix(103,10,-1370,-133) Matrix(1861,-684,1140,-419) -> Matrix(311,30,-7350,-709) Matrix(2109,-778,778,-287) -> Matrix(293,28,-8068,-771) Matrix(3551,-1314,554,-205) -> Matrix(85,8,-2752,-259) Matrix(499,-186,110,-41) -> Matrix(43,4,-1344,-125) Matrix(523,-198,1186,-449) -> Matrix(21,2,-242,-23) Matrix(3001,-1140,4104,-1559) -> Matrix(139,14,-2234,-225) Matrix(715,-274,274,-105) -> Matrix(43,4,-1172,-109) Matrix(191,-74,302,-117) -> Matrix(23,2,-334,-29) Matrix(459,-188,188,-77) -> Matrix(155,14,-4174,-377) Matrix(1399,-578,806,-333) -> Matrix(403,36,-9728,-869) Matrix(859,-356,1344,-557) -> Matrix(89,8,-1324,-119) Matrix(1633,-684,456,-191) -> Matrix(205,18,-6002,-527) Matrix(857,-360,588,-247) -> Matrix(229,20,-5164,-451) Matrix(2513,-1060,908,-383) -> Matrix(49,4,-1360,-111) Matrix(3099,-1310,854,-361) -> Matrix(91,8,-2696,-237) Matrix(241,-102,26,-11) -> Matrix(23,2,-794,-69) Matrix(371,-160,160,-69) -> Matrix(45,4,-1204,-107) Matrix(1455,-634,1774,-773) -> Matrix(303,26,-5186,-445) Matrix(1003,-440,212,-93) -> Matrix(47,4,-1516,-129) Matrix(1207,-542,314,-141) -> Matrix(139,12,-4228,-365) Matrix(469,-214,366,-167) -> Matrix(237,20,-5060,-427) Matrix(439,-206,130,-61) -> Matrix(73,6,-2178,-179) Matrix(493,-268,344,-187) -> Matrix(55,4,-1224,-89) Matrix(687,-376,148,-81) -> Matrix(107,8,-3384,-253) Matrix(441,-244,244,-135) -> Matrix(163,12,-3980,-293) Matrix(1073,-600,828,-463) -> Matrix(217,16,-4652,-343) Matrix(2119,-1188,2556,-1433) -> Matrix(407,30,-7014,-517) Matrix(2993,-1680,1680,-943) -> Matrix(409,30,-9966,-731) Matrix(3643,-2058,1602,-905) -> Matrix(1,0,-12,1) Matrix(1311,-742,970,-549) -> Matrix(57,4,-1240,-87) Matrix(1399,-806,578,-333) -> Matrix(499,36,-13376,-965) Matrix(1759,-1016,2384,-1377) -> Matrix(195,14,-3134,-225) Matrix(2287,-1322,410,-237) -> Matrix(139,10,-4462,-321) Matrix(337,-196,576,-335) -> Matrix(391,28,-5488,-393) Matrix(7305,-4286,9986,-5859) -> Matrix(27,2,-446,-33) Matrix(1227,-748,520,-317) -> Matrix(1,0,-12,1) Matrix(1861,-1140,684,-419) -> Matrix(431,30,-11910,-829) Matrix(1249,-766,918,-563) -> Matrix(605,42,-13238,-919) Matrix(987,-610,610,-377) -> Matrix(523,36,-12276,-845) Matrix(351,-218,446,-277) -> Matrix(263,18,-4398,-301) Matrix(513,-322,94,-59) -> Matrix(117,8,-3788,-259) Matrix(3613,-2276,1516,-955) -> Matrix(501,34,-13306,-903) Matrix(2889,-1822,4102,-2587) -> Matrix(235,16,-3716,-253) Matrix(1879,-1200,440,-281) -> Matrix(29,2,-914,-63) Matrix(1111,-712,788,-505) -> Matrix(355,24,-7884,-533) Matrix(301,-194,346,-223) -> Matrix(327,22,-5782,-389) Matrix(391,-254,254,-165) -> Matrix(329,22,-7582,-507) Matrix(857,-588,360,-247) -> Matrix(309,20,-8204,-531) Matrix(585,-404,404,-279) -> Matrix(435,28,-9772,-629) Matrix(1479,-1028,1256,-873) -> Matrix(185,12,-3808,-247) Matrix(493,-344,268,-187) -> Matrix(63,4,-1528,-97) Matrix(2431,-1710,1406,-989) -> Matrix(1037,66,-24998,-1591) Matrix(3187,-2246,1182,-833) -> Matrix(221,14,-6046,-383) Matrix(3229,-2282,2738,-1935) -> Matrix(661,42,-13582,-863) Matrix(3649,-2582,2582,-1827) -> Matrix(1385,88,-30832,-1959) Matrix(1111,-788,712,-505) -> Matrix(379,24,-8796,-557) Matrix(353,-256,484,-351) -> Matrix(511,32,-8192,-513) Matrix(11391,-8332,13804,-10097) -> Matrix(1381,86,-23750,-1479) Matrix(459,-338,110,-81) -> Matrix(97,6,-2894,-179) Matrix(4963,-3664,852,-629) -> Matrix(97,6,-3282,-203) Matrix(8479,-6264,4896,-3617) -> Matrix(63,4,-1528,-97) Matrix(1311,-970,742,-549) -> Matrix(65,4,-1544,-95) Matrix(1963,-1494,2482,-1889) -> Matrix(493,30,-8266,-503) Matrix(6833,-5212,1488,-1135) -> Matrix(33,2,-974,-59) Matrix(731,-560,560,-429) -> Matrix(725,44,-15604,-947) Matrix(1073,-828,600,-463) -> Matrix(265,16,-6476,-391) Matrix(1907,-1476,792,-613) -> Matrix(299,18,-7990,-481) Matrix(469,-366,214,-167) -> Matrix(333,20,-8708,-523) Matrix(1805,-1426,2186,-1727) -> Matrix(169,10,-2890,-171) Matrix(1399,-1110,1186,-941) -> Matrix(875,52,-17988,-1069) Matrix(231,-188,188,-153) -> Matrix(307,18,-6430,-377) Matrix(1603,-1322,1854,-1529) -> Matrix(1203,70,-21190,-1233) Matrix(17197,-14192,4996,-4123) -> Matrix(69,4,-1984,-115) Matrix(289,-242,166,-139) -> Matrix(277,16,-6700,-387) Matrix(1479,-1256,1028,-873) -> Matrix(209,12,-4720,-271) Matrix(1107,-944,944,-805) -> Matrix(1469,84,-30132,-1723) Matrix(1223,-1096,260,-233) -> Matrix(395,22,-12658,-705) Matrix(657,-596,140,-127) -> Matrix(253,14,-8078,-447) Matrix(653,-714,182,-199) -> Matrix(397,20,-11652,-587) Matrix(1347,-1504,592,-661) -> Matrix(361,18,-9366,-467) Matrix(301,-346,194,-223) -> Matrix(447,22,-10342,-509) Matrix(2941,-3442,1086,-1271) -> Matrix(2049,100,-56368,-2751) Matrix(591,-700,244,-289) -> Matrix(577,28,-15476,-751) Matrix(1067,-1290,378,-457) -> Matrix(915,44,-25724,-1237) Matrix(2441,-2956,1512,-1831) -> Matrix(667,32,-15612,-749) Matrix(2817,-3416,1820,-2207) -> Matrix(2165,104,-50024,-2403) Matrix(1079,-1314,326,-397) -> Matrix(209,10,-6082,-291) Matrix(715,-882,578,-713) -> Matrix(1427,68,-29988,-1429) Matrix(351,-446,218,-277) -> Matrix(383,18,-8958,-421) Matrix(2317,-2964,684,-875) -> Matrix(725,34,-21814,-1023) Matrix(431,-556,100,-129) -> Matrix(257,12,-7860,-367) Matrix(2839,-3698,2178,-2837) -> Matrix(4815,224,-103544,-4817) Matrix(1135,-1486,346,-453) -> Matrix(647,30,-18914,-877) Matrix(3285,-4316,2036,-2675) -> Matrix(517,24,-12128,-563) Matrix(1759,-2384,1016,-1377) -> Matrix(307,14,-7390,-337) Matrix(353,-484,256,-351) -> Matrix(703,32,-15488,-705) Matrix(1531,-2118,446,-617) -> Matrix(353,16,-10568,-479) Matrix(1089,-1534,394,-555) -> Matrix(221,10,-6166,-279) Matrix(3213,-4538,662,-935) -> Matrix(89,4,-1936,-87) Matrix(4725,-6676,976,-1379) -> Matrix(89,4,-4072,-183) Matrix(3037,-4298,802,-1135) -> Matrix(1025,46,-30906,-1387) Matrix(2089,-2964,456,-647) -> Matrix(133,6,-4234,-191) Matrix(1555,-2208,612,-869) -> Matrix(133,6,-3702,-167) Matrix(1223,-1740,220,-313) -> Matrix(89,4,-3004,-135) Matrix(9439,-13550,2606,-3741) -> Matrix(45,2,-1238,-55) Matrix(3571,-5130,1482,-2129) -> Matrix(673,30,-18014,-803) Matrix(3427,-4932,904,-1301) -> Matrix(87,4,-2632,-121) Matrix(2791,-4050,1922,-2789) -> Matrix(4319,192,-97200,-4321) Matrix(709,-1038,278,-407) -> Matrix(91,4,-2480,-109) Matrix(691,-1058,450,-689) -> Matrix(1379,60,-31740,-1381) Matrix(2005,-3126,846,-1319) -> Matrix(139,6,-3730,-161) Matrix(859,-1344,356,-557) -> Matrix(185,8,-4972,-215) Matrix(191,-302,74,-117) -> Matrix(47,2,-1246,-53) Matrix(2255,-3636,596,-961) -> Matrix(1265,54,-38114,-1627) Matrix(10453,-16870,3038,-4903) -> Matrix(47,2,-1246,-53) Matrix(2727,-4418,1682,-2725) -> Matrix(3759,160,-88360,-3761) Matrix(491,-800,116,-189) -> Matrix(283,12,-8608,-365) Matrix(6839,-11174,2510,-4101) -> Matrix(2557,108,-70720,-2987) Matrix(101,-166,14,-23) -> Matrix(47,2,-1622,-69) Matrix(337,-576,196,-335) -> Matrix(671,28,-16128,-673) Matrix(1283,-2214,390,-673) -> Matrix(963,40,-28240,-1173) Matrix(48349,-83740,14048,-24331) -> Matrix(675,28,-19792,-821) Matrix(32741,-56710,9514,-16479) -> Matrix(193,8,-5380,-223) Matrix(5715,-9902,1238,-2145) -> Matrix(531,22,-16630,-689) Matrix(2195,-3886,466,-825) -> Matrix(95,4,-3064,-129) Matrix(2981,-5304,820,-1459) -> Matrix(583,24,-17320,-713) Matrix(9237,-16450,2542,-4527) -> Matrix(2045,84,-60644,-2491) Matrix(3509,-6258,1242,-2215) -> Matrix(927,38,-26078,-1069) Matrix(2647,-4802,1458,-2645) -> Matrix(3135,128,-76832,-3137) Matrix(1495,-2724,444,-809) -> Matrix(639,26,-18998,-773) Matrix(1601,-2958,374,-691) -> Matrix(197,8,-5984,-243) Matrix(4559,-8438,1066,-1973) -> Matrix(99,4,-2896,-117) Matrix(251,-472,92,-173) -> Matrix(247,10,-6842,-277) Matrix(313,-676,144,-311) -> Matrix(623,24,-16224,-625) Matrix(2401,-5350,942,-2099) -> Matrix(317,12,-8744,-331) Matrix(523,-1186,198,-449) -> Matrix(53,2,-1458,-55) Matrix(3119,-7102,870,-1981) -> Matrix(887,34,-26010,-997) Matrix(991,-2276,300,-689) -> Matrix(105,4,-3124,-119) Matrix(2439,-5618,1058,-2437) -> Matrix(1695,64,-44944,-1697) Matrix(3277,-7706,714,-1679) -> Matrix(51,2,-1658,-65) Matrix(2027,-4774,442,-1041) -> Matrix(157,6,-4998,-191) Matrix(4141,-9804,1140,-2699) -> Matrix(57,2,-1682,-59) Matrix(787,-1874,202,-481) -> Matrix(425,16,-12936,-487) Matrix(627,-1502,134,-321) -> Matrix(427,16,-13584,-509) Matrix(6373,-15364,1760,-4243) -> Matrix(429,16,-12736,-475) Matrix(595,-1458,242,-593) -> Matrix(1187,44,-32076,-1189) Matrix(2303,-5868,396,-1009) -> Matrix(55,2,-1898,-69) Matrix(2311,-6050,882,-2309) -> Matrix(879,32,-24200,-881) Matrix(325,-854,94,-247) -> Matrix(55,2,-1678,-61) Matrix(679,-1830,82,-221) -> Matrix(219,8,-7364,-269) Matrix(1837,-4966,482,-1303) -> Matrix(713,26,-21582,-787) Matrix(9103,-24642,3362,-9101) -> Matrix(7039,256,-193600,-7041) Matrix(6467,-17624,1816,-4949) -> Matrix(3209,116,-93144,-3367) Matrix(743,-2032,132,-361) -> Matrix(277,10,-9058,-327) Matrix(2467,-6842,534,-1481) -> Matrix(725,26,-22726,-815) Matrix(281,-784,100,-279) -> Matrix(559,20,-15680,-561) Matrix(523,-1682,162,-521) -> Matrix(1043,36,-30276,-1045) Matrix(1227,-4018,142,-465) -> Matrix(467,16,-16024,-549) Matrix(1795,-5918,522,-1721) -> Matrix(59,2,-1682,-57) Matrix(713,-2402,122,-411) -> Matrix(119,4,-4076,-137) Matrix(163,-558,26,-89) -> Matrix(59,2,-1918,-65) Matrix(4451,-15842,1250,-4449) -> Matrix(1507,52,-43732,-1509) Matrix(241,-900,64,-239) -> Matrix(479,16,-14400,-481) Matrix(1875,-7246,406,-1569) -> Matrix(123,4,-3844,-125) Matrix(435,-1922,98,-433) -> Matrix(867,28,-26908,-869) Matrix(297,-1414,46,-219) -> Matrix(67,2,-2178,-65) Matrix(193,-1024,36,-191) -> Matrix(383,12,-12288,-385) Matrix(331,-2178,50,-329) -> Matrix(659,20,-21780,-661) Matrix(137,-1156,16,-135) -> Matrix(271,8,-9248,-273) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 12 Minimal number of generators: 3 Number of equivalence classes of cusps: 4 Genus: 0 Degree of H/liftables -> H/(image of liftables): 90 Degree of the the map X: 180 Degree of the the map Y: 360 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1080 Minimal number of generators: 181 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 54 Genus: 64 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 1/1 10/9 21/17 43/33 11/8 7/5 89/63 45/31 23/15 47/29 12/7 265/153 73/41 49/27 2/1 13/6 53/23 27/11 13/5 55/21 111/41 25/9 14/5 3/1 29/9 23/7 89/25 11/3 15/4 19/5 4/1 21/5 77/18 13/3 31/7 9/2 14/3 33/7 5/1 16/3 27/5 11/2 17/3 6/1 19/3 13/2 33/5 7/1 8/1 25/3 17/2 9/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 0/1 -1/1 0/1 1/7 -1/4 -1/5 2/13 -1/5 -4/21 1/6 -1/7 0/1 3/17 -1/5 -3/16 5/28 -2/11 -3/17 2/11 -2/11 -3/17 3/16 -1/6 1/5 -1/7 5/24 -2/9 -1/5 4/19 -1/5 -2/11 3/14 -4/25 -3/19 5/23 -1/6 -1/7 2/9 -4/27 -1/7 3/13 -1/7 -3/22 4/17 -5/37 -2/15 1/4 -1/7 0/1 6/23 -3/23 -10/77 5/19 -5/39 -1/8 4/15 -1/8 3/11 -3/25 8/29 -2/17 -1/9 5/18 -2/17 -9/77 7/25 -5/44 -1/9 9/32 -1/9 -8/73 2/7 -1/9 0/1 7/24 -3/25 -2/17 12/41 -1/9 -2/19 5/17 -1/7 8/27 -5/41 -4/33 11/37 -7/58 -3/25 3/10 -2/17 -5/43 10/33 -2/17 -5/43 7/23 -7/61 4/13 -8/71 -1/9 1/3 -1/9 -1/10 5/14 -1/10 9/25 -9/91 13/36 -19/193 -6/61 4/11 -4/41 -3/31 11/30 -16/165 -3/31 7/19 -7/73 17/46 -2/21 -25/263 10/27 -2/21 -5/53 3/8 -1/11 0/1 11/29 -1/10 -3/31 19/50 -5/51 -4/41 8/21 -3/31 -2/21 5/13 -1/11 2/5 -4/43 -1/11 7/17 -1/11 -7/78 12/29 -9/101 -4/45 5/12 -4/45 -7/79 13/31 -5/57 -7/80 8/19 -2/23 -7/81 19/45 -1/11 -1/12 11/26 -5/57 -2/23 3/7 -1/11 10/23 -2/23 -7/81 17/39 -3/35 -1/12 7/16 -2/23 -3/35 11/25 -1/12 -1/13 4/9 -1/11 -2/23 5/11 -5/59 -1/12 6/13 -1/12 1/2 -2/25 -1/13 8/15 -1/13 -2/27 7/13 -1/13 -3/40 6/11 -1/13 -4/53 11/20 -13/175 -2/27 5/9 -3/41 14/25 -1/13 -2/27 23/41 -5/68 -3/41 9/16 -3/41 -4/55 13/23 -1/13 -1/14 4/7 -3/41 -4/55 15/26 -8/111 -9/125 26/45 -7/97 -8/111 11/19 -11/153 7/12 -1/14 3/5 -1/14 -3/43 14/23 -2/29 -5/73 11/18 -3/43 -2/29 19/31 -13/187 8/13 -11/159 -2/29 13/21 -9/131 5/8 -2/29 -1/15 17/27 -3/44 -7/103 29/46 -7/103 -4/59 12/19 -6/89 -1/15 7/11 -1/15 23/36 -4/59 -9/133 16/25 -7/103 -4/59 9/14 -11/163 -6/89 11/17 -11/164 -1/15 2/3 -1/15 -4/61 11/16 -17/263 -2/31 9/13 -7/109 25/36 -3/47 -4/63 16/23 -2/31 -3/47 7/10 -8/125 -3/47 19/27 -11/173 31/44 -3/47 -4/63 12/17 -2/31 -3/47 29/41 -11/173 17/24 -4/63 -13/205 5/7 -5/79 -1/16 8/11 -1/16 11/15 -11/177 14/19 -7/113 -6/97 31/42 -6/97 -5/81 48/65 -6/97 -5/81 17/23 -1/16 -5/81 3/4 -4/65 -3/49 16/21 -7/115 -2/33 13/17 -11/181 10/13 -2/33 -17/281 17/22 -2/33 -9/149 24/31 -2/33 -1/17 7/9 -5/83 -3/50 11/14 -7/117 -4/67 15/19 -9/151 34/43 -4/67 -1/17 19/24 -9/151 -14/235 4/5 -8/135 -1/17 9/11 -1/17 -9/154 14/17 -13/223 -6/103 33/40 -1/17 -6/103 52/63 -1/17 -6/103 19/23 -11/189 5/6 -4/69 -7/121 11/13 -5/87 -7/122 17/20 -9/157 -2/35 6/7 -2/35 -11/193 13/15 -11/194 -3/53 7/8 -11/195 -4/71 8/9 -8/143 -9/161 9/10 -1/18 1/1 -1/19 10/9 -1/20 9/8 -9/181 -8/161 8/7 -4/81 -11/223 7/6 -11/225 -2/41 20/17 -2/41 -9/185 33/28 -9/185 -16/329 13/11 -7/144 -5/103 6/5 -7/145 -4/83 23/19 -11/229 40/33 -6/125 -1/21 17/14 -6/125 -13/271 11/9 -9/188 -1/21 16/13 -26/545 -1/21 21/17 -1/21 5/4 -1/21 -8/169 14/11 -4/85 -7/149 9/7 -3/64 -5/107 22/17 -9/193 -2/43 13/10 -17/365 -2/43 43/33 -2/43 30/23 -2/43 -39/839 17/13 -11/237 21/16 -2/43 -7/151 4/3 -3/65 -4/87 23/17 -5/109 -1/22 19/14 -6/131 -7/153 34/25 -23/503 -8/175 15/11 -11/241 11/8 -1/22 7/5 -1/22 -5/111 31/22 -7/155 -6/133 24/17 -13/289 -4/89 89/63 -4/89 65/46 -4/89 -35/779 41/29 -11/245 17/12 -3/67 -2/45 44/31 -4/89 -3/67 27/19 -11/245 10/7 -3/67 -8/179 33/23 -3/67 -5/112 56/39 -5/112 23/16 -3/67 -2/45 59/41 -1/22 -1/23 36/25 -4/89 -3/67 13/9 -7/157 29/20 -31/697 -2/45 45/31 -2/45 16/11 -2/45 -17/383 19/13 -5/113 -3/68 3/2 -4/91 -1/23 23/15 -1/23 20/13 -1/23 -26/599 17/11 -1/23 -11/254 31/20 -33/763 -8/185 14/9 -6/139 -11/255 39/25 -1/23 -5/116 25/16 -4/93 -7/163 11/7 -1/23 8/5 -1/23 -2/47 29/18 -5/117 -22/515 50/31 -16/375 -9/211 71/44 -5/117 -2/47 92/57 -5/117 -2/47 21/13 -9/211 34/21 -29/681 -2/47 47/29 -2/47 13/8 -2/47 -11/259 31/19 -13/307 49/30 -26/615 -3/71 18/11 -2/47 -3/71 5/3 -3/71 -1/24 12/7 -1/24 19/11 -11/265 45/26 -8/193 -7/169 71/41 -1/24 -9/217 168/97 -10/241 -9/217 265/153 -9/217 97/56 -9/217 -8/193 26/15 -9/217 -8/193 33/19 -7/169 -13/314 7/4 -4/97 -3/73 23/13 -1/24 -1/25 16/9 -4/97 -3/73 73/41 -3/73 57/32 -3/73 -14/341 41/23 -3/73 -5/122 25/14 -2/49 -1/25 9/5 -3/73 29/16 -19/465 -2/49 49/27 -2/49 20/11 -2/49 -13/319 31/17 -5/123 -3/74 11/6 -4/99 -1/25 24/13 -2/49 -1/25 37/20 -3/74 13/7 -3/74 -1/25 2/1 -1/25 -2/51 15/7 -7/181 13/6 -1/26 11/5 -1/26 -5/131 9/4 -2/53 -1/27 25/11 -1/25 -1/26 66/29 -1/26 41/18 -8/209 -7/183 16/7 -3/79 -2/53 39/17 -1/26 -3/79 23/10 -7/185 -2/53 53/23 -2/53 30/13 -2/53 -9/239 7/3 -1/27 40/17 -1/26 33/14 -3/79 -2/53 26/11 -2/53 -5/133 45/19 -1/26 -1/27 64/27 -1/25 0/1 19/8 -7/185 -2/53 50/21 -9/239 -16/425 81/34 -2/53 -5/133 31/13 -7/186 -5/133 43/18 -8/213 -27/719 12/5 -7/187 -4/107 53/22 -4/107 -9/241 94/39 -5/134 41/17 -1/27 29/12 -4/107 -9/241 46/19 -21/563 -16/429 17/7 -7/188 -1/27 22/9 -18/485 -1/27 27/11 -1/27 5/2 -1/27 -4/109 28/11 -2/55 -3/83 51/20 -1/27 0/1 23/9 -3/83 -1/28 41/16 -1/28 18/7 -1/27 0/1 13/5 -1/27 34/13 -5/137 -2/55 55/21 -2/55 21/8 -2/55 -3/83 29/11 -3/83 -1/28 8/3 -1/27 0/1 35/13 -1/27 -3/82 62/23 -8/219 -5/137 27/10 -5/137 -2/55 46/17 -25/687 -2/55 111/41 -2/55 65/24 -2/55 -39/1073 19/7 -7/193 49/18 -8/221 -3/83 30/11 -3/83 -16/443 41/15 -3/83 -1/28 11/4 -3/83 -4/111 47/17 -5/139 -1/28 36/13 -6/167 -19/529 25/9 -9/251 14/5 -1/28 3/1 -1/28 -1/29 16/5 -10/289 -1/29 29/9 -1/29 13/4 -1/29 -8/233 23/7 -7/205 33/10 -5/147 -2/59 10/3 -5/147 -2/59 37/11 -3/89 -7/208 64/19 -4/119 -13/387 27/8 -4/119 -5/149 44/13 -1/30 17/5 -1/31 24/7 -2/59 -3/89 31/9 -1/29 -1/30 7/2 -1/29 0/1 32/9 -8/231 -1/29 89/25 -1/29 57/16 -1/29 -18/523 25/7 -1/29 -5/146 43/12 -10/293 -13/381 18/5 -9/265 -2/59 29/8 -1/29 -2/59 11/3 -3/89 15/4 -1/30 19/5 -1/30 -5/151 42/11 -3/91 -2/61 23/6 -10/303 -3/91 4/1 -1/31 0/1 21/5 -5/151 17/4 -2/61 -5/153 47/11 -1/31 77/18 -1/30 30/7 -3/91 -2/61 13/3 -3/92 -1/31 22/5 -10/309 -1/31 31/7 -1/31 9/2 -1/31 -4/125 32/7 -2/63 -3/95 55/12 -3/95 -4/127 78/17 -1/32 23/5 -1/31 -1/32 60/13 -5/157 -2/63 37/8 -9/283 -2/63 14/3 -3/95 -4/127 47/10 -1/32 33/7 -1/32 -5/161 19/4 -2/65 -1/33 43/9 -1/31 -1/32 24/5 -1/33 -2/67 5/1 -1/31 16/3 -1/32 27/5 -1/32 -5/161 11/2 -3/97 -2/65 28/5 -3/97 -2/65 17/3 -3/98 -1/33 6/1 -1/31 0/1 19/3 -3/97 13/2 -4/131 -1/33 33/5 -1/33 20/3 -1/33 -6/199 7/1 -1/33 -1/34 8/1 -1/33 0/1 25/3 -3/101 -1/34 17/2 -1/34 9/1 -1/35 1/0 -1/37 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(0,-1,1,2) (-1/1,1/0) -> (-1/1,0/1) Parabolic Matrix(101,-14,166,-23) (0/1,1/7) -> (3/5,14/23) Hyperbolic Matrix(231,-34,34,-5) (1/7,2/13) -> (20/3,7/1) Hyperbolic Matrix(163,-26,558,-89) (2/13,1/6) -> (7/24,12/41) Hyperbolic Matrix(292,-51,355,-62) (1/6,3/17) -> (9/11,14/17) Hyperbolic Matrix(646,-115,1483,-264) (3/17,5/28) -> (10/23,17/39) Hyperbolic Matrix(194,-35,643,-116) (5/28,2/11) -> (3/10,10/33) Hyperbolic Matrix(739,-136,288,-53) (2/11,3/16) -> (41/16,18/7) Hyperbolic Matrix(160,-31,31,-6) (3/16,1/5) -> (5/1,16/3) Hyperbolic Matrix(756,-157,1069,-222) (1/5,5/24) -> (12/17,29/41) Hyperbolic Matrix(1445,-302,378,-79) (5/24,4/19) -> (42/11,23/6) Hyperbolic Matrix(1003,-212,440,-93) (4/19,3/14) -> (41/18,16/7) Hyperbolic Matrix(687,-148,376,-81) (3/14,5/23) -> (31/17,11/6) Hyperbolic Matrix(499,-110,186,-41) (5/23,2/9) -> (8/3,35/13) Hyperbolic Matrix(403,-92,92,-21) (2/9,3/13) -> (13/3,22/5) Hyperbolic Matrix(431,-100,556,-129) (3/13,4/17) -> (24/31,7/9) Hyperbolic Matrix(459,-110,338,-81) (4/17,1/4) -> (19/14,34/25) Hyperbolic Matrix(1266,-329,785,-204) (1/4,6/23) -> (29/18,50/31) Hyperbolic Matrix(1445,-378,302,-79) (6/23,5/19) -> (43/9,24/5) Hyperbolic Matrix(570,-151,151,-40) (5/19,4/15) -> (15/4,19/5) Hyperbolic Matrix(330,-89,89,-24) (4/15,3/11) -> (11/3,15/4) Hyperbolic Matrix(536,-147,299,-82) (3/11,8/29) -> (25/14,9/5) Hyperbolic Matrix(596,-165,773,-214) (8/29,5/18) -> (10/13,17/22) Hyperbolic Matrix(1633,-456,684,-191) (5/18,7/25) -> (31/13,43/18) Hyperbolic Matrix(2225,-624,624,-175) (7/25,9/32) -> (57/16,25/7) Hyperbolic Matrix(1778,-501,653,-184) (9/32,2/7) -> (49/18,30/11) Hyperbolic Matrix(325,-94,854,-247) (2/7,7/24) -> (19/50,8/21) Hyperbolic Matrix(794,-233,1145,-336) (12/41,5/17) -> (9/13,25/36) Hyperbolic Matrix(439,-130,206,-61) (5/17,8/27) -> (2/1,15/7) Hyperbolic Matrix(2841,-844,616,-183) (8/27,11/37) -> (23/5,60/13) Hyperbolic Matrix(352,-105,409,-122) (11/37,3/10) -> (6/7,13/15) Hyperbolic Matrix(1662,-505,961,-292) (10/33,7/23) -> (19/11,45/26) Hyperbolic Matrix(408,-125,581,-178) (7/23,4/13) -> (7/10,19/27) Hyperbolic Matrix(87,-28,28,-9) (4/13,1/3) -> (3/1,16/5) Hyperbolic Matrix(84,-29,29,-10) (1/3,5/14) -> (14/5,3/1) Hyperbolic Matrix(700,-251,251,-90) (5/14,9/25) -> (25/9,14/5) Hyperbolic Matrix(978,-353,809,-292) (9/25,13/36) -> (6/5,23/19) Hyperbolic Matrix(2513,-908,1060,-383) (13/36,4/11) -> (64/27,19/8) Hyperbolic Matrix(251,-92,472,-173) (4/11,11/30) -> (1/2,8/15) Hyperbolic Matrix(1861,-684,1140,-419) (11/30,7/19) -> (31/19,49/30) Hyperbolic Matrix(2109,-778,778,-287) (7/19,17/46) -> (65/24,19/7) Hyperbolic Matrix(944,-349,1109,-410) (17/46,10/27) -> (17/20,6/7) Hyperbolic Matrix(499,-186,110,-41) (10/27,3/8) -> (9/2,32/7) Hyperbolic Matrix(220,-83,387,-146) (3/8,11/29) -> (13/23,4/7) Hyperbolic Matrix(1266,-481,937,-356) (11/29,19/50) -> (4/3,23/17) Hyperbolic Matrix(715,-274,274,-105) (8/21,5/13) -> (13/5,34/13) Hyperbolic Matrix(191,-74,302,-117) (5/13,2/5) -> (12/19,7/11) Hyperbolic Matrix(459,-188,188,-77) (2/5,7/17) -> (17/7,22/9) Hyperbolic Matrix(1399,-578,806,-333) (7/17,12/29) -> (26/15,33/19) Hyperbolic Matrix(859,-356,1344,-557) (12/29,5/12) -> (23/36,16/25) Hyperbolic Matrix(1633,-684,456,-191) (5/12,13/31) -> (25/7,43/12) Hyperbolic Matrix(857,-360,588,-247) (13/31,8/19) -> (16/11,19/13) Hyperbolic Matrix(2513,-1060,908,-383) (8/19,19/45) -> (47/17,36/13) Hyperbolic Matrix(1228,-519,2191,-926) (19/45,11/26) -> (14/25,23/41) Hyperbolic Matrix(241,-102,26,-11) (11/26,3/7) -> (9/1,1/0) Hyperbolic Matrix(371,-160,160,-69) (3/7,10/23) -> (30/13,7/3) Hyperbolic Matrix(424,-185,793,-346) (17/39,7/16) -> (8/15,7/13) Hyperbolic Matrix(1003,-440,212,-93) (7/16,11/25) -> (33/7,19/4) Hyperbolic Matrix(342,-151,607,-268) (11/25,4/9) -> (9/16,13/23) Hyperbolic Matrix(184,-83,235,-106) (4/9,5/11) -> (7/9,11/14) Hyperbolic Matrix(286,-131,131,-60) (5/11,6/13) -> (13/6,11/5) Hyperbolic Matrix(439,-206,130,-61) (6/13,1/2) -> (27/8,44/13) Hyperbolic Matrix(493,-268,344,-187) (7/13,6/11) -> (10/7,33/23) Hyperbolic Matrix(687,-376,148,-81) (6/11,11/20) -> (37/8,14/3) Hyperbolic Matrix(441,-244,244,-135) (11/20,5/9) -> (9/5,29/16) Hyperbolic Matrix(536,-299,147,-82) (5/9,14/25) -> (29/8,11/3) Hyperbolic Matrix(2993,-1680,1680,-943) (23/41,9/16) -> (57/32,41/23) Hyperbolic Matrix(1399,-806,578,-333) (4/7,15/26) -> (29/12,46/19) Hyperbolic Matrix(1759,-1016,2384,-1377) (15/26,26/45) -> (14/19,31/42) Hyperbolic Matrix(1662,-961,505,-292) (26/45,11/19) -> (23/7,33/10) Hyperbolic Matrix(456,-265,265,-154) (11/19,7/12) -> (12/7,19/11) Hyperbolic Matrix(120,-71,71,-42) (7/12,3/5) -> (5/3,12/7) Hyperbolic Matrix(1227,-748,520,-317) (14/23,11/18) -> (33/14,26/11) Hyperbolic Matrix(1861,-1140,684,-419) (11/18,19/31) -> (19/7,49/18) Hyperbolic Matrix(1249,-766,918,-563) (19/31,8/13) -> (34/25,15/11) Hyperbolic Matrix(987,-610,610,-377) (8/13,13/21) -> (21/13,34/21) Hyperbolic Matrix(351,-218,446,-277) (13/21,5/8) -> (11/14,15/19) Hyperbolic Matrix(513,-322,94,-59) (5/8,17/27) -> (27/5,11/2) Hyperbolic Matrix(3613,-2276,1516,-955) (17/27,29/46) -> (81/34,31/13) Hyperbolic Matrix(442,-279,583,-368) (29/46,12/19) -> (3/4,16/21) Hyperbolic Matrix(1879,-1200,440,-281) (7/11,23/36) -> (17/4,47/11) Hyperbolic Matrix(1111,-712,788,-505) (16/25,9/14) -> (31/22,24/17) Hyperbolic Matrix(301,-194,346,-223) (9/14,11/17) -> (13/15,7/8) Hyperbolic Matrix(391,-254,254,-165) (11/17,2/3) -> (20/13,17/11) Hyperbolic Matrix(857,-588,360,-247) (2/3,11/16) -> (19/8,50/21) Hyperbolic Matrix(585,-404,404,-279) (11/16,9/13) -> (13/9,29/20) Hyperbolic Matrix(1479,-1028,1256,-873) (25/36,16/23) -> (20/17,33/28) Hyperbolic Matrix(493,-344,268,-187) (16/23,7/10) -> (11/6,24/13) Hyperbolic Matrix(1004,-707,1315,-926) (19/27,31/44) -> (16/21,13/17) Hyperbolic Matrix(3187,-2246,1182,-833) (31/44,12/17) -> (62/23,27/10) Hyperbolic Matrix(3649,-2582,2582,-1827) (29/41,17/24) -> (65/46,41/29) Hyperbolic Matrix(1111,-788,712,-505) (17/24,5/7) -> (39/25,25/16) Hyperbolic Matrix(154,-111,111,-80) (5/7,8/11) -> (11/8,7/5) Hyperbolic Matrix(330,-241,241,-176) (8/11,11/15) -> (15/11,11/8) Hyperbolic Matrix(459,-338,110,-81) (11/15,14/19) -> (4/1,21/5) Hyperbolic Matrix(8962,-6617,5553,-4100) (31/42,48/65) -> (71/44,92/57) Hyperbolic Matrix(8479,-6264,4896,-3617) (48/65,17/23) -> (71/41,168/97) Hyperbolic Matrix(676,-501,197,-146) (17/23,3/4) -> (24/7,31/9) Hyperbolic Matrix(731,-560,560,-429) (13/17,10/13) -> (30/23,17/13) Hyperbolic Matrix(1907,-1476,792,-613) (17/22,24/31) -> (12/5,53/22) Hyperbolic Matrix(1805,-1426,2186,-1727) (15/19,34/43) -> (52/63,19/23) Hyperbolic Matrix(4094,-3239,1719,-1360) (34/43,19/24) -> (50/21,81/34) Hyperbolic Matrix(572,-453,149,-118) (19/24,4/5) -> (23/6,4/1) Hyperbolic Matrix(231,-188,188,-153) (4/5,9/11) -> (11/9,16/13) Hyperbolic Matrix(2500,-2061,541,-446) (14/17,33/40) -> (60/13,37/8) Hyperbolic Matrix(5518,-4553,3185,-2628) (33/40,52/63) -> (97/56,26/15) Hyperbolic Matrix(978,-809,353,-292) (19/23,5/6) -> (36/13,25/9) Hyperbolic Matrix(289,-242,166,-139) (5/6,11/13) -> (33/19,7/4) Hyperbolic Matrix(1479,-1256,1028,-873) (11/13,17/20) -> (23/16,59/41) Hyperbolic Matrix(506,-445,141,-124) (7/8,8/9) -> (43/12,18/5) Hyperbolic Matrix(1004,-897,441,-394) (8/9,9/10) -> (66/29,41/18) Hyperbolic Matrix(20,-19,19,-18) (9/10,1/1) -> (1/1,10/9) Parabolic Matrix(502,-563,107,-120) (10/9,9/8) -> (14/3,47/10) Hyperbolic Matrix(428,-483,179,-202) (9/8,8/7) -> (43/18,12/5) Hyperbolic Matrix(301,-346,194,-223) (8/7,7/6) -> (31/20,14/9) Hyperbolic Matrix(944,-1109,349,-410) (7/6,20/17) -> (27/10,46/17) Hyperbolic Matrix(994,-1173,261,-308) (33/28,13/11) -> (19/5,42/11) Hyperbolic Matrix(591,-700,244,-289) (13/11,6/5) -> (46/19,17/7) Hyperbolic Matrix(2441,-2956,1512,-1831) (23/19,40/33) -> (92/57,21/13) Hyperbolic Matrix(2490,-3019,739,-896) (40/33,17/14) -> (64/19,27/8) Hyperbolic Matrix(292,-355,51,-62) (17/14,11/9) -> (17/3,6/1) Hyperbolic Matrix(358,-441,289,-356) (16/13,21/17) -> (21/17,5/4) Parabolic Matrix(351,-446,218,-277) (5/4,14/11) -> (8/5,29/18) Hyperbolic Matrix(184,-235,83,-106) (14/11,9/7) -> (11/5,9/4) Hyperbolic Matrix(431,-556,100,-129) (9/7,22/17) -> (30/7,13/3) Hyperbolic Matrix(596,-773,165,-214) (22/17,13/10) -> (18/5,29/8) Hyperbolic Matrix(1420,-1849,1089,-1418) (13/10,43/33) -> (43/33,30/23) Parabolic Matrix(1004,-1315,707,-926) (17/13,21/16) -> (44/31,27/19) Hyperbolic Matrix(164,-217,65,-86) (21/16,4/3) -> (5/2,28/11) Hyperbolic Matrix(1759,-2384,1016,-1377) (23/17,19/14) -> (45/26,71/41) Hyperbolic Matrix(1089,-1534,394,-555) (7/5,31/22) -> (11/4,47/17) Hyperbolic Matrix(5608,-7921,3969,-5606) (24/17,89/63) -> (89/63,65/46) Parabolic Matrix(756,-1069,157,-222) (41/29,17/12) -> (24/5,5/1) Hyperbolic Matrix(2089,-2964,456,-647) (17/12,44/31) -> (32/7,55/12) Hyperbolic Matrix(408,-581,125,-178) (27/19,10/7) -> (13/4,23/7) Hyperbolic Matrix(1358,-1949,733,-1052) (33/23,56/39) -> (37/20,13/7) Hyperbolic Matrix(3571,-5130,1482,-2129) (56/39,23/16) -> (53/22,94/39) Hyperbolic Matrix(1854,-2669,389,-560) (59/41,36/25) -> (19/4,43/9) Hyperbolic Matrix(592,-853,93,-134) (36/25,13/9) -> (19/3,13/2) Hyperbolic Matrix(1396,-2025,961,-1394) (29/20,45/31) -> (45/31,16/11) Parabolic Matrix(709,-1038,278,-407) (19/13,3/2) -> (51/20,23/9) Hyperbolic Matrix(346,-529,225,-344) (3/2,23/15) -> (23/15,20/13) Parabolic Matrix(850,-1317,253,-392) (17/11,31/20) -> (10/3,37/11) Hyperbolic Matrix(2005,-3126,846,-1319) (14/9,39/25) -> (45/19,64/27) Hyperbolic Matrix(859,-1344,356,-557) (25/16,11/7) -> (41/17,29/12) Hyperbolic Matrix(191,-302,74,-117) (11/7,8/5) -> (18/7,13/5) Hyperbolic Matrix(3112,-5021,1221,-1970) (50/31,71/44) -> (28/11,51/20) Hyperbolic Matrix(1364,-2209,841,-1362) (34/21,47/29) -> (47/29,13/8) Parabolic Matrix(491,-800,116,-189) (13/8,31/19) -> (21/5,17/4) Hyperbolic Matrix(562,-919,159,-260) (49/30,18/11) -> (7/2,32/9) Hyperbolic Matrix(101,-166,14,-23) (18/11,5/3) -> (7/1,8/1) Hyperbolic Matrix(40546,-70225,23409,-40544) (168/97,265/153) -> (265/153,97/56) Parabolic Matrix(220,-387,83,-146) (7/4,23/13) -> (29/11,8/3) Hyperbolic Matrix(342,-607,151,-268) (23/13,16/9) -> (9/4,25/11) Hyperbolic Matrix(2994,-5329,1681,-2992) (16/9,73/41) -> (73/41,57/32) Parabolic Matrix(1228,-2191,519,-926) (41/23,25/14) -> (26/11,45/19) Hyperbolic Matrix(1324,-2401,729,-1322) (29/16,49/27) -> (49/27,20/11) Parabolic Matrix(1495,-2724,444,-809) (20/11,31/17) -> (37/11,64/19) Hyperbolic Matrix(1601,-2958,374,-691) (24/13,37/20) -> (77/18,30/7) Hyperbolic Matrix(251,-472,92,-173) (13/7,2/1) -> (30/11,41/15) Hyperbolic Matrix(410,-881,121,-260) (15/7,13/6) -> (44/13,17/5) Hyperbolic Matrix(1474,-3353,313,-712) (25/11,66/29) -> (47/10,33/7) Hyperbolic Matrix(474,-1085,173,-396) (16/7,39/17) -> (41/15,11/4) Hyperbolic Matrix(646,-1483,115,-264) (39/17,23/10) -> (28/5,17/3) Hyperbolic Matrix(1220,-2809,529,-1218) (23/10,53/23) -> (53/23,30/13) Parabolic Matrix(204,-479,23,-54) (7/3,40/17) -> (17/2,9/1) Hyperbolic Matrix(2027,-4774,442,-1041) (40/17,33/14) -> (55/12,78/17) Hyperbolic Matrix(3142,-7575,735,-1772) (94/39,41/17) -> (47/11,77/18) Hyperbolic Matrix(298,-729,121,-296) (22/9,27/11) -> (27/11,5/2) Parabolic Matrix(576,-1475,107,-274) (23/9,41/16) -> (16/3,27/5) Hyperbolic Matrix(1156,-3025,441,-1154) (34/13,55/21) -> (55/21,21/8) Parabolic Matrix(325,-854,94,-247) (21/8,29/11) -> (31/9,7/2) Hyperbolic Matrix(679,-1830,82,-221) (35/13,62/23) -> (8/1,25/3) Hyperbolic Matrix(4552,-12321,1681,-4550) (46/17,111/41) -> (111/41,65/24) Parabolic Matrix(262,-841,81,-260) (16/5,29/9) -> (29/9,13/4) Parabolic Matrix(194,-643,35,-116) (33/10,10/3) -> (11/2,28/5) Hyperbolic Matrix(163,-558,26,-89) (17/5,24/7) -> (6/1,19/3) Hyperbolic Matrix(2226,-7921,625,-2224) (32/9,89/25) -> (89/25,57/16) Parabolic Matrix(218,-961,49,-216) (22/5,31/7) -> (31/7,9/2) Parabolic Matrix(510,-2341,61,-280) (78/17,23/5) -> (25/3,17/2) Hyperbolic Matrix(166,-1089,25,-164) (13/2,33/5) -> (33/5,20/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(0,-1,1,2) -> Matrix(1,0,36,1) Matrix(101,-14,166,-23) -> Matrix(7,2,-102,-29) Matrix(231,-34,34,-5) -> Matrix(9,2,-302,-67) Matrix(163,-26,558,-89) -> Matrix(11,2,-94,-17) Matrix(292,-51,355,-62) -> Matrix(29,6,-498,-103) Matrix(646,-115,1483,-264) -> Matrix(43,8,-500,-93) Matrix(194,-35,643,-116) -> Matrix(21,4,-184,-35) Matrix(739,-136,288,-53) -> Matrix(11,2,-314,-57) Matrix(160,-31,31,-6) -> Matrix(13,2,-410,-63) Matrix(756,-157,1069,-222) -> Matrix(17,4,-268,-63) Matrix(1445,-302,378,-79) -> Matrix(23,4,-696,-121) Matrix(1003,-212,440,-93) -> Matrix(23,4,-604,-105) Matrix(687,-148,376,-81) -> Matrix(51,8,-1256,-197) Matrix(499,-110,186,-41) -> Matrix(27,4,-736,-109) Matrix(403,-92,92,-21) -> Matrix(43,6,-1326,-185) Matrix(431,-100,556,-129) -> Matrix(89,12,-1476,-199) Matrix(459,-110,338,-81) -> Matrix(49,6,-1070,-131) Matrix(1266,-329,785,-204) -> Matrix(121,16,-2836,-375) Matrix(1445,-378,302,-79) -> Matrix(31,4,-1000,-129) Matrix(570,-151,151,-40) -> Matrix(79,10,-2378,-301) Matrix(330,-89,89,-24) -> Matrix(49,6,-1462,-179) Matrix(536,-147,299,-82) -> Matrix(1,0,-16,1) Matrix(596,-165,773,-214) -> Matrix(135,16,-2236,-265) Matrix(1633,-456,684,-191) -> Matrix(157,18,-4178,-479) Matrix(2225,-624,624,-175) -> Matrix(89,10,-2590,-291) Matrix(1778,-501,653,-184) -> Matrix(75,8,-2072,-221) Matrix(325,-94,854,-247) -> Matrix(15,2,-158,-21) Matrix(794,-233,1145,-336) -> Matrix(21,2,-326,-31) Matrix(439,-130,206,-61) -> Matrix(49,6,-1266,-155) Matrix(2841,-844,616,-183) -> Matrix(83,10,-2598,-313) Matrix(352,-105,409,-122) -> Matrix(101,12,-1776,-211) Matrix(1662,-505,961,-292) -> Matrix(225,26,-5426,-627) Matrix(408,-125,581,-178) -> Matrix(141,16,-2212,-251) Matrix(87,-28,28,-9) -> Matrix(19,2,-542,-57) Matrix(84,-29,29,-10) -> Matrix(19,2,-542,-57) Matrix(700,-251,251,-90) -> Matrix(181,18,-5058,-503) Matrix(978,-353,809,-292) -> Matrix(345,34,-7174,-707) Matrix(2513,-908,1060,-383) -> Matrix(41,4,-1056,-103) Matrix(251,-92,472,-173) -> Matrix(103,10,-1370,-133) Matrix(1861,-684,1140,-419) -> Matrix(311,30,-7350,-709) Matrix(2109,-778,778,-287) -> Matrix(293,28,-8068,-771) Matrix(944,-349,1109,-410) -> Matrix(295,28,-5152,-489) Matrix(499,-186,110,-41) -> Matrix(43,4,-1344,-125) Matrix(220,-83,387,-146) -> Matrix(41,4,-564,-55) Matrix(1266,-481,937,-356) -> Matrix(81,8,-1772,-175) Matrix(715,-274,274,-105) -> Matrix(43,4,-1172,-109) Matrix(191,-74,302,-117) -> Matrix(23,2,-334,-29) Matrix(459,-188,188,-77) -> Matrix(155,14,-4174,-377) Matrix(1399,-578,806,-333) -> Matrix(403,36,-9728,-869) Matrix(859,-356,1344,-557) -> Matrix(89,8,-1324,-119) Matrix(1633,-684,456,-191) -> Matrix(205,18,-6002,-527) Matrix(857,-360,588,-247) -> Matrix(229,20,-5164,-451) Matrix(2513,-1060,908,-383) -> Matrix(49,4,-1360,-111) Matrix(1228,-519,2191,-926) -> Matrix(91,8,-1240,-109) Matrix(241,-102,26,-11) -> Matrix(23,2,-794,-69) Matrix(371,-160,160,-69) -> Matrix(45,4,-1204,-107) Matrix(424,-185,793,-346) -> Matrix(93,8,-1244,-107) Matrix(1003,-440,212,-93) -> Matrix(47,4,-1516,-129) Matrix(342,-151,607,-268) -> Matrix(25,2,-338,-27) Matrix(184,-83,235,-106) -> Matrix(117,10,-1954,-167) Matrix(286,-131,131,-60) -> Matrix(119,10,-3106,-261) Matrix(439,-206,130,-61) -> Matrix(73,6,-2178,-179) Matrix(493,-268,344,-187) -> Matrix(55,4,-1224,-89) Matrix(687,-376,148,-81) -> Matrix(107,8,-3384,-253) Matrix(441,-244,244,-135) -> Matrix(163,12,-3980,-293) Matrix(536,-299,147,-82) -> Matrix(1,0,-16,1) Matrix(2993,-1680,1680,-943) -> Matrix(409,30,-9966,-731) Matrix(1399,-806,578,-333) -> Matrix(499,36,-13376,-965) Matrix(1759,-1016,2384,-1377) -> Matrix(195,14,-3134,-225) Matrix(1662,-961,505,-292) -> Matrix(361,26,-10594,-763) Matrix(456,-265,265,-154) -> Matrix(307,22,-7382,-529) Matrix(120,-71,71,-42) -> Matrix(85,6,-2026,-143) Matrix(1227,-748,520,-317) -> Matrix(1,0,-12,1) Matrix(1861,-1140,684,-419) -> Matrix(431,30,-11910,-829) Matrix(1249,-766,918,-563) -> Matrix(605,42,-13238,-919) Matrix(987,-610,610,-377) -> Matrix(523,36,-12276,-845) Matrix(351,-218,446,-277) -> Matrix(263,18,-4398,-301) Matrix(513,-322,94,-59) -> Matrix(117,8,-3788,-259) Matrix(3613,-2276,1516,-955) -> Matrix(501,34,-13306,-903) Matrix(442,-279,583,-368) -> Matrix(207,14,-3386,-229) Matrix(1879,-1200,440,-281) -> Matrix(29,2,-914,-63) Matrix(1111,-712,788,-505) -> Matrix(355,24,-7884,-533) Matrix(301,-194,346,-223) -> Matrix(327,22,-5782,-389) Matrix(391,-254,254,-165) -> Matrix(329,22,-7582,-507) Matrix(857,-588,360,-247) -> Matrix(309,20,-8204,-531) Matrix(585,-404,404,-279) -> Matrix(435,28,-9772,-629) Matrix(1479,-1028,1256,-873) -> Matrix(185,12,-3808,-247) Matrix(493,-344,268,-187) -> Matrix(63,4,-1528,-97) Matrix(1004,-707,1315,-926) -> Matrix(347,22,-5694,-361) Matrix(3187,-2246,1182,-833) -> Matrix(221,14,-6046,-383) Matrix(3649,-2582,2582,-1827) -> Matrix(1385,88,-30832,-1959) Matrix(1111,-788,712,-505) -> Matrix(379,24,-8796,-557) Matrix(154,-111,111,-80) -> Matrix(159,10,-3514,-221) Matrix(330,-241,241,-176) -> Matrix(353,22,-7750,-483) Matrix(459,-338,110,-81) -> Matrix(97,6,-2894,-179) Matrix(8962,-6617,5553,-4100) -> Matrix(647,40,-15156,-937) Matrix(8479,-6264,4896,-3617) -> Matrix(63,4,-1528,-97) Matrix(676,-501,197,-146) -> Matrix(97,6,-2894,-179) Matrix(731,-560,560,-429) -> Matrix(725,44,-15604,-947) Matrix(1907,-1476,792,-613) -> Matrix(299,18,-7990,-481) Matrix(1805,-1426,2186,-1727) -> Matrix(169,10,-2890,-171) Matrix(4094,-3239,1719,-1360) -> Matrix(301,18,-8010,-479) Matrix(572,-453,149,-118) -> Matrix(235,14,-7134,-425) Matrix(231,-188,188,-153) -> Matrix(307,18,-6430,-377) Matrix(2500,-2061,541,-446) -> Matrix(481,28,-15100,-879) Matrix(5518,-4553,3185,-2628) -> Matrix(791,46,-19070,-1109) Matrix(978,-809,353,-292) -> Matrix(585,34,-16294,-947) Matrix(289,-242,166,-139) -> Matrix(277,16,-6700,-387) Matrix(1479,-1256,1028,-873) -> Matrix(209,12,-4720,-271) Matrix(506,-445,141,-124) -> Matrix(249,14,-7310,-411) Matrix(1004,-897,441,-394) -> Matrix(287,16,-7480,-417) Matrix(20,-19,19,-18) -> Matrix(37,2,-722,-39) Matrix(502,-563,107,-120) -> Matrix(241,12,-7692,-383) Matrix(428,-483,179,-202) -> Matrix(403,20,-10740,-533) Matrix(301,-346,194,-223) -> Matrix(447,22,-10342,-509) Matrix(944,-1109,349,-410) -> Matrix(575,28,-15792,-769) Matrix(994,-1173,261,-308) -> Matrix(617,30,-18654,-907) Matrix(591,-700,244,-289) -> Matrix(577,28,-15476,-751) Matrix(2441,-2956,1512,-1831) -> Matrix(667,32,-15612,-749) Matrix(2490,-3019,739,-896) -> Matrix(541,26,-16126,-775) Matrix(292,-355,51,-62) -> Matrix(125,6,-4146,-199) Matrix(358,-441,289,-356) -> Matrix(713,34,-14994,-715) Matrix(351,-446,218,-277) -> Matrix(383,18,-8958,-421) Matrix(184,-235,83,-106) -> Matrix(213,10,-5602,-263) Matrix(431,-556,100,-129) -> Matrix(257,12,-7860,-367) Matrix(596,-773,165,-214) -> Matrix(343,16,-10140,-473) Matrix(1420,-1849,1089,-1418) -> Matrix(2407,112,-51772,-2409) Matrix(1004,-1315,707,-926) -> Matrix(475,22,-10558,-489) Matrix(164,-217,65,-86) -> Matrix(173,8,-4736,-219) Matrix(1759,-2384,1016,-1377) -> Matrix(307,14,-7390,-337) Matrix(1089,-1534,394,-555) -> Matrix(221,10,-6166,-279) Matrix(5608,-7921,3969,-5606) -> Matrix(4271,192,-95052,-4273) Matrix(756,-1069,157,-222) -> Matrix(89,4,-3004,-135) Matrix(2089,-2964,456,-647) -> Matrix(133,6,-4234,-191) Matrix(408,-581,125,-178) -> Matrix(357,16,-10420,-467) Matrix(1358,-1949,733,-1052) -> Matrix(313,14,-7758,-347) Matrix(3571,-5130,1482,-2129) -> Matrix(673,30,-18014,-803) Matrix(1854,-2669,389,-560) -> Matrix(45,2,-1418,-63) Matrix(592,-853,93,-134) -> Matrix(179,8,-5840,-261) Matrix(1396,-2025,961,-1394) -> Matrix(2159,96,-48600,-2161) Matrix(709,-1038,278,-407) -> Matrix(91,4,-2480,-109) Matrix(346,-529,225,-344) -> Matrix(689,30,-15870,-691) Matrix(850,-1317,253,-392) -> Matrix(601,26,-17822,-771) Matrix(2005,-3126,846,-1319) -> Matrix(139,6,-3730,-161) Matrix(859,-1344,356,-557) -> Matrix(185,8,-4972,-215) Matrix(191,-302,74,-117) -> Matrix(47,2,-1246,-53) Matrix(3112,-5021,1221,-1970) -> Matrix(375,16,-10336,-441) Matrix(1364,-2209,841,-1362) -> Matrix(1879,80,-44180,-1881) Matrix(491,-800,116,-189) -> Matrix(283,12,-8608,-365) Matrix(562,-919,159,-260) -> Matrix(47,2,-1434,-61) Matrix(101,-166,14,-23) -> Matrix(47,2,-1622,-69) Matrix(40546,-70225,23409,-40544) -> Matrix(3905,162,-94178,-3907) Matrix(220,-387,83,-146) -> Matrix(97,4,-2692,-111) Matrix(342,-607,151,-268) -> Matrix(49,2,-1250,-51) Matrix(2994,-5329,1681,-2992) -> Matrix(1313,54,-31974,-1315) Matrix(1228,-2191,519,-926) -> Matrix(195,8,-5192,-213) Matrix(1324,-2401,729,-1322) -> Matrix(1567,64,-38416,-1569) Matrix(1495,-2724,444,-809) -> Matrix(639,26,-18998,-773) Matrix(1601,-2958,374,-691) -> Matrix(197,8,-5984,-243) Matrix(251,-472,92,-173) -> Matrix(247,10,-6842,-277) Matrix(410,-881,121,-260) -> Matrix(207,8,-6236,-241) Matrix(1474,-3353,313,-712) -> Matrix(155,6,-4986,-193) Matrix(474,-1085,173,-396) -> Matrix(157,6,-4370,-167) Matrix(646,-1483,115,-264) -> Matrix(211,8,-6884,-261) Matrix(1220,-2809,529,-1218) -> Matrix(847,32,-22472,-849) Matrix(204,-479,23,-54) -> Matrix(1,0,-8,1) Matrix(2027,-4774,442,-1041) -> Matrix(157,6,-4998,-191) Matrix(3142,-7575,735,-1772) -> Matrix(107,4,-3344,-125) Matrix(298,-729,121,-296) -> Matrix(593,22,-16038,-595) Matrix(576,-1475,107,-274) -> Matrix(223,8,-7164,-257) Matrix(1156,-3025,441,-1154) -> Matrix(439,16,-12100,-441) Matrix(325,-854,94,-247) -> Matrix(55,2,-1678,-61) Matrix(679,-1830,82,-221) -> Matrix(219,8,-7364,-269) Matrix(4552,-12321,1681,-4550) -> Matrix(3519,128,-96800,-3521) Matrix(262,-841,81,-260) -> Matrix(521,18,-15138,-523) Matrix(194,-643,35,-116) -> Matrix(117,4,-3832,-131) Matrix(163,-558,26,-89) -> Matrix(59,2,-1918,-65) Matrix(2226,-7921,625,-2224) -> Matrix(753,26,-21866,-755) Matrix(218,-961,49,-216) -> Matrix(433,14,-13454,-435) Matrix(510,-2341,61,-280) -> Matrix(65,2,-2178,-67) Matrix(166,-1089,25,-164) -> Matrix(329,10,-10890,-331) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 12 Minimal number of generators: 3 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 4 Genus: 0 Degree of H/liftables -> H/(image of liftables): 45 Imminent integer overflow caused the modular group computation to abort.