INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2880 Minimal number of generators: 481 Number of equivalence classes of cusps: 90 Genus: 196 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -31/25 -31/26 0/1 1/1 31/27 31/24 31/23 31/22 155/109 3/2 31/20 93/59 31/19 155/91 31/18 93/52 31/17 2/1 15/7 124/57 31/14 93/41 62/27 217/92 31/13 155/64 5/2 155/61 31/12 186/71 124/47 62/23 93/34 31/11 3/1 62/19 124/37 155/46 186/55 31/9 7/2 18/5 62/17 310/83 248/65 31/8 4/1 21/5 124/29 30/7 13/3 31/7 9/2 14/3 62/13 24/5 29/6 5/1 31/6 26/5 21/4 16/3 27/5 11/2 28/5 62/11 17/3 23/4 29/5 6/1 31/5 25/4 19/3 13/2 20/3 27/4 7/1 22/3 37/5 15/2 23/3 31/4 8/1 17/2 9/1 19/2 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 1/28 1/27 -9/1 1/24 -17/2 2/57 1/28 -8/1 1/28 1/27 -31/4 1/27 -23/3 3/80 -38/5 1/27 1/26 -15/2 2/53 1/26 -22/3 1/25 1/24 -7/1 1/24 -27/4 4/113 1/28 -47/7 1/28 -20/3 3/82 1/27 -13/2 0/1 1/28 -19/3 3/80 -6/1 1/26 1/25 -23/4 4/97 1/24 -17/3 1/20 -28/5 1/30 1/29 -11/2 2/53 1/26 -27/5 1/24 -16/3 1/26 3/77 -21/4 2/51 3/76 -5/1 1/24 -29/6 3/68 2/45 -24/5 1/22 1/21 -19/4 0/1 1/30 -33/7 3/80 -14/3 3/76 1/25 -23/5 1/24 -32/7 1/26 1/25 -9/2 2/49 1/24 -31/7 1/24 -22/5 1/24 5/119 -35/8 1/24 2/47 -48/11 1/24 1/23 -61/14 5/118 2/47 -13/3 1/24 -30/7 1/23 1/22 -47/11 1/24 -17/4 1/24 2/47 -21/5 5/112 -4/1 1/24 1/23 -31/8 1/23 -27/7 7/160 -50/13 5/114 9/205 -23/6 4/91 3/68 -42/11 5/113 7/158 -19/5 3/68 -34/9 1/22 3/65 -15/4 2/45 1/22 -71/19 1/24 -56/15 3/67 1/22 -97/26 7/156 4/89 -41/11 11/244 -26/7 1/22 7/153 -11/3 1/20 -40/11 1/28 1/27 -29/8 2/49 1/24 -47/13 1/24 -112/31 3/70 1/23 -65/18 0/1 1/26 -18/5 1/24 3/71 -61/17 17/396 -43/12 6/139 7/162 -25/7 7/160 -57/16 2/45 1/22 -32/9 1/23 1/22 -7/2 2/45 1/22 -31/9 1/22 -24/7 1/22 7/153 -65/19 9/196 -41/12 4/87 7/152 -17/5 5/108 -61/18 1/22 2/43 -44/13 3/65 5/108 -71/21 19/408 -27/8 3/64 4/85 -91/27 11/232 -155/46 1/21 -64/19 1/21 5/104 -37/11 1/24 -84/25 3/65 5/108 -47/14 0/1 1/22 -57/17 5/108 -10/3 3/64 1/21 -33/10 4/81 1/20 -23/7 1/20 -59/18 0/1 1/18 -36/11 1/18 1/17 -13/4 0/1 1/24 -29/9 3/68 -16/5 1/22 5/109 -19/6 0/1 1/22 -41/13 13/280 -22/7 3/64 1/21 -3/1 1/20 -23/8 0/1 1/20 -20/7 5/102 3/61 -57/20 2/41 5/102 -37/13 13/264 -17/6 6/121 1/20 -31/11 1/20 -14/5 1/20 5/99 -25/9 9/176 -11/4 2/39 3/58 -52/19 17/324 1/19 -93/34 1/19 -41/15 11/208 -71/26 4/75 3/56 -30/11 1/19 1/18 -49/18 3/56 2/37 -19/7 1/20 -46/17 1/19 1/18 -27/10 0/1 1/16 -8/3 1/21 1/20 -45/17 13/256 -37/14 5/98 2/39 -66/25 7/137 9/176 -29/11 7/136 -21/8 1/20 2/39 -76/29 7/137 9/176 -55/21 15/292 -89/34 7/136 26/505 -123/47 47/912 -34/13 11/213 3/58 -47/18 3/58 4/77 -13/5 5/96 -31/12 1/19 -18/7 1/19 7/132 -59/23 3/56 -41/16 13/244 4/75 -64/25 13/243 3/56 -23/9 3/56 -74/29 11/205 19/354 -51/20 12/223 7/130 -28/11 1/19 1/18 -61/24 2/37 1/18 -33/13 3/56 -5/2 0/1 1/18 -32/13 1/19 1/18 -59/24 0/1 1/18 -27/11 1/20 -22/9 1/19 7/132 -83/34 29/544 4/75 -61/25 25/468 -100/41 13/243 29/542 -39/16 3/56 14/261 -17/7 5/92 -63/26 2/37 1/18 -109/45 5/92 -155/64 3/55 -46/19 3/55 1/18 -29/12 3/56 2/37 -12/5 5/91 1/18 -31/13 1/18 -19/8 1/18 8/143 -64/27 5/89 9/160 -45/19 11/196 -71/30 25/444 4/71 -26/11 1/18 3/53 -59/25 7/124 -92/39 37/654 3/53 -33/14 8/141 5/88 -40/17 3/52 1/17 -7/3 3/52 -30/13 1/17 3/50 -23/10 0/1 1/16 -16/7 1/19 1/18 -41/18 0/1 1/16 -25/11 3/56 -59/26 12/217 1/18 -93/41 1/18 -34/15 1/18 9/161 -43/19 9/160 -9/4 2/35 3/52 -47/21 3/52 -38/17 7/121 11/190 -29/13 3/52 -49/22 6/103 7/120 -20/9 9/154 1/17 -31/14 1/17 -11/5 5/84 -24/11 3/50 5/83 -37/17 15/248 -50/23 13/214 11/181 -13/6 4/65 1/16 -15/7 1/16 -17/8 2/33 1/16 -2/1 1/16 1/15 -17/9 3/44 -15/8 2/29 1/14 -13/7 3/44 -63/34 7/102 2/29 -50/27 7/102 9/131 -87/47 35/508 -124/67 2/29 -37/20 2/29 17/246 -24/13 11/158 3/43 -35/19 7/100 -11/6 6/85 1/14 -31/17 1/14 -20/11 1/14 11/153 -29/16 6/83 11/152 -38/21 1/14 3/41 -47/26 1/14 4/55 -9/5 5/68 -34/19 5/66 1/13 -93/52 1/13 -59/33 5/64 -84/47 1/13 1/12 -25/14 0/1 1/14 -66/37 1/16 1/15 -41/23 5/72 -16/9 1/14 1/13 -39/22 5/68 2/27 -62/35 2/27 -23/13 3/40 -30/17 1/14 1/13 -7/4 1/14 2/27 -33/19 3/40 -125/72 4/53 5/66 -217/125 5/66 -92/53 5/66 1/13 -59/34 4/53 5/66 -26/15 9/119 5/66 -97/56 17/224 40/527 -71/41 31/408 -45/26 7/92 8/105 -64/37 13/171 7/92 -83/48 39/512 8/105 -19/11 11/144 -31/18 1/13 -12/7 1/13 7/90 -65/38 13/166 4/51 -118/69 7/89 3/38 -53/31 1/12 -41/24 5/64 4/51 -29/17 11/140 -46/27 25/317 3/38 -155/91 3/38 -109/64 3/38 62/785 -63/37 37/468 -17/10 7/88 2/25 -39/23 1/12 -100/59 1/13 3/38 -61/36 3/38 2/25 -83/49 17/212 -22/13 3/37 1/12 -27/16 0/1 1/12 -59/35 3/40 -32/19 1/13 7/90 -5/3 1/12 -33/20 8/99 11/136 -94/57 53/654 3/37 -155/94 3/37 -61/37 37/456 -28/17 7/86 11/135 -23/14 4/49 1/12 -64/39 5/61 21/256 -105/64 11/134 28/341 -41/25 25/304 -59/36 15/182 8/97 -18/11 11/133 1/12 -31/19 1/12 -13/8 1/12 8/95 -47/29 1/12 -34/21 5/59 9/106 -123/76 9/106 4/47 -89/55 1/12 -55/34 25/294 4/47 -186/115 4/47 -131/81 63/740 -76/47 19/223 15/176 -97/60 4/47 15/176 -21/13 13/152 -71/44 11/128 8/93 -121/75 21/244 -50/31 13/151 5/58 -29/18 9/104 2/23 -124/77 2/23 -95/59 23/264 -66/41 9/103 7/80 -37/23 5/56 -45/28 1/12 4/47 -8/5 1/12 1/11 -35/22 9/104 2/23 -62/39 2/23 -27/17 7/80 -46/29 11/125 3/34 -19/12 3/34 4/45 -49/31 1/12 -30/19 3/34 1/11 -41/26 0/1 1/12 -93/59 1/12 -52/33 1/12 3/35 -63/40 2/23 3/34 -11/7 1/12 -36/23 3/34 19/215 -97/62 44/497 17/192 -61/39 39/440 -86/55 41/462 15/169 -25/16 4/45 13/146 -64/41 5/56 21/235 -39/25 5/56 -14/9 9/100 1/11 -31/20 1/11 -17/11 11/120 -37/24 6/65 5/54 -20/13 5/54 9/97 -23/15 3/32 -3/2 2/21 1/10 -25/17 17/168 -22/15 11/108 5/49 -41/28 4/39 23/224 -19/13 5/48 -16/11 1/10 3/29 -29/20 2/19 3/28 -13/9 5/48 -62/43 2/19 -49/34 2/19 19/180 -36/25 7/66 5/47 -59/41 3/28 -23/16 8/75 3/28 -56/39 5/46 1/9 -89/62 6/55 7/64 -33/23 1/8 -43/30 2/19 7/66 -10/7 3/28 1/9 -67/47 5/48 -124/87 2/19 -57/40 2/19 7/66 -104/73 7/66 5/47 -47/33 3/28 -37/26 1/10 2/19 -64/45 17/159 3/28 -155/109 3/28 -91/64 3/28 28/261 -27/19 3/28 -98/69 7/65 11/102 -71/50 35/324 4/37 -186/131 4/37 -115/81 61/564 -44/31 17/157 13/120 -61/43 43/396 -17/12 6/55 7/64 -41/29 29/264 -65/46 12/109 13/118 -89/63 11/100 -24/17 17/154 1/9 -31/22 1/9 -7/5 5/44 -32/23 1/10 1/9 -57/41 5/44 -82/59 3/26 5/43 -25/18 4/35 3/26 -93/67 3/26 -68/49 3/26 11/95 -43/31 7/60 -104/75 9/77 11/94 -165/119 17/144 -61/44 3/26 2/17 -18/13 1/9 1/8 -65/47 5/44 -112/81 1/9 3/26 -47/34 16/139 3/26 -123/89 55/476 -76/55 25/216 11/95 -29/21 7/60 -69/50 17/146 12/103 -40/29 7/60 9/77 -51/37 23/196 -62/45 2/17 -11/8 2/17 5/42 -37/27 7/60 -100/73 5/42 3/25 -63/46 2/17 5/42 -89/65 1/8 -26/19 5/42 3/25 -93/68 3/25 -67/49 13/108 -41/30 4/33 1/8 -97/71 1/8 -56/41 3/25 7/58 -183/134 23/190 4/33 -310/227 4/33 -127/93 17/140 -71/52 4/33 1/8 -15/11 1/8 -34/25 5/42 3/25 -53/39 15/124 -72/53 3/25 1/8 -19/14 4/33 9/74 -61/45 45/368 -103/76 71/580 6/49 -248/183 6/49 -145/107 97/792 -42/31 19/155 13/106 -23/17 1/8 -50/37 25/202 13/105 -77/57 1/8 -27/20 20/161 1/8 -31/23 1/8 -4/3 1/8 3/23 -25/19 13/96 -21/16 1/8 2/15 -17/13 5/36 -47/36 3/22 4/29 -124/95 4/29 -77/59 5/36 -30/23 3/22 1/7 -13/10 4/29 5/36 -74/57 31/222 25/179 -61/47 47/336 -48/37 15/107 23/164 -83/64 8/57 9/64 -35/27 9/64 -22/17 17/120 1/7 -31/24 1/7 -9/7 7/48 -41/32 4/27 3/20 -32/25 1/7 1/6 -23/18 4/27 3/20 -60/47 1/8 1/7 -37/29 13/88 -14/11 3/20 5/33 -61/48 2/13 1/6 -47/37 3/20 -33/26 4/27 3/20 -52/41 23/152 5/33 -19/15 11/72 -62/49 2/13 -43/34 2/13 25/162 -24/19 9/58 7/45 -29/23 5/32 -5/4 4/25 1/6 -31/25 1/6 -26/21 1/6 21/125 -21/17 17/100 -16/13 1/6 5/29 -27/22 4/23 7/40 -65/53 5/28 -38/31 1/6 5/29 -11/9 5/28 -61/50 1/6 2/11 -50/41 1/6 1/5 -39/32 5/28 2/11 -28/23 9/50 11/61 -45/37 29/160 -62/51 2/11 -17/14 2/11 11/60 -23/19 3/16 -29/24 14/75 3/16 -35/29 3/16 -6/5 5/26 1/5 -31/26 1/5 -25/21 21/104 -19/16 8/39 7/34 -13/11 5/24 -33/28 4/19 11/52 -20/17 3/14 11/51 -67/57 7/32 -47/40 4/19 3/14 -74/63 3/14 11/51 -27/23 7/32 -7/6 2/9 5/22 -22/19 5/21 1/4 -37/32 11/46 6/25 -15/13 1/4 -38/33 21/86 11/45 -23/20 20/81 1/4 -31/27 1/4 -8/7 1/4 7/27 -17/15 11/40 -9/8 2/7 7/24 -19/17 11/36 -10/9 9/28 1/3 -11/10 6/17 5/14 -12/11 5/13 7/18 -1/1 1/0 0/1 0/1 1/1 1/60 10/9 1/57 9/512 9/8 7/396 2/113 17/15 11/620 8/7 7/393 1/56 31/27 1/56 23/20 1/56 20/1119 38/33 11/615 21/1174 15/13 1/56 22/19 1/56 5/279 7/6 5/278 2/111 27/23 7/388 47/40 3/166 4/221 20/17 11/609 3/166 13/11 5/276 19/16 7/386 8/441 6/5 1/55 5/274 23/19 3/164 17/14 11/600 2/109 28/23 11/599 9/490 11/9 5/272 27/22 7/380 4/217 16/13 5/271 1/54 21/17 17/920 5/4 1/54 4/215 29/23 5/268 24/19 7/375 9/482 19/15 11/588 33/26 3/160 4/213 14/11 5/267 3/160 23/18 3/160 4/213 32/25 1/54 1/53 9/7 7/372 31/24 1/53 22/17 1/53 17/900 35/27 9/476 48/37 23/1216 15/793 61/47 47/2484 13/10 5/264 4/211 30/23 1/53 3/158 47/36 4/211 3/158 17/13 5/264 21/16 2/105 1/52 4/3 3/157 1/52 31/23 1/52 27/20 1/52 20/1039 50/37 13/675 25/1298 23/17 1/52 42/31 13/674 19/985 19/14 9/466 4/207 34/25 3/155 5/258 15/11 1/52 71/52 1/52 4/207 56/41 7/362 3/155 97/71 1/52 41/30 1/52 4/207 26/19 3/155 5/258 11/8 5/258 2/103 40/29 9/463 7/360 29/21 7/360 47/34 3/154 16/821 112/81 3/154 1/51 65/47 5/256 18/13 1/52 1/51 61/44 2/103 3/154 43/31 7/360 25/18 3/154 4/205 57/41 5/256 32/23 1/51 1/50 7/5 5/256 31/22 1/51 24/17 1/51 17/866 65/46 13/662 12/611 41/29 29/1476 17/12 7/356 6/305 61/43 43/2184 44/31 13/660 17/863 71/50 4/203 35/1776 27/19 3/152 91/64 28/1419 3/152 155/109 3/152 64/45 3/152 17/861 37/26 2/101 1/50 84/59 1/51 3/152 47/33 3/152 57/40 7/354 2/101 10/7 1/51 3/152 33/23 1/52 23/16 3/152 8/405 59/41 3/152 36/25 5/253 7/354 13/9 5/252 29/20 3/152 2/101 16/11 3/151 1/50 19/13 5/252 41/28 23/1156 4/201 22/15 5/251 11/552 3/2 1/50 2/99 23/15 3/148 20/13 9/443 5/246 57/37 7/344 37/24 5/246 6/295 17/11 11/540 31/20 1/49 14/9 1/49 9/440 25/16 13/634 4/195 11/7 1/48 52/33 3/145 1/48 93/59 1/48 41/26 0/1 1/48 71/45 3/148 30/19 1/49 3/146 49/31 1/48 19/12 4/195 3/146 46/29 3/146 11/535 27/17 7/340 8/5 1/49 1/48 45/28 4/193 1/48 37/23 5/244 66/41 7/340 9/437 29/18 2/97 9/436 21/13 13/628 76/47 15/724 19/917 55/34 4/193 25/1206 89/55 1/48 123/76 4/193 9/434 34/21 9/434 5/241 47/29 1/48 13/8 8/385 1/48 31/19 1/48 18/11 1/48 11/527 59/36 8/383 15/718 41/25 25/1196 64/39 21/1004 5/239 23/14 1/48 4/191 74/45 9/430 13/621 51/31 1/48 28/17 11/525 7/334 61/37 37/1764 33/20 11/524 8/381 5/3 1/48 32/19 7/330 1/47 59/35 3/140 27/16 0/1 1/48 22/13 1/48 3/143 83/49 17/808 61/36 2/95 3/142 100/59 3/142 1/47 39/23 1/48 17/10 2/95 7/332 63/37 37/1752 109/64 62/2935 3/142 155/91 3/142 46/27 3/142 25/1183 29/17 11/520 12/7 7/330 1/47 31/18 1/47 19/11 11/516 64/37 7/328 13/609 45/26 8/375 7/328 71/41 31/1452 26/15 5/234 9/421 59/34 5/234 4/187 92/53 1/47 5/234 33/19 3/140 40/23 7/327 3/140 7/4 2/93 1/46 30/17 1/47 1/46 23/13 3/140 16/9 1/47 1/46 41/23 5/228 25/14 0/1 1/46 59/33 5/236 93/52 1/47 34/19 1/47 5/234 43/24 7/326 2/93 9/5 5/232 47/26 4/185 1/46 38/21 3/139 1/46 29/16 11/508 6/277 49/27 13/600 20/11 11/507 1/46 31/17 1/46 11/6 1/46 6/275 24/13 3/137 11/502 37/20 17/774 2/91 50/27 9/409 7/318 13/7 3/136 15/8 1/46 2/91 17/9 3/136 2/1 1/45 1/44 17/8 1/44 2/87 15/7 1/44 13/6 1/44 4/175 63/29 29/1264 50/23 11/479 13/566 87/40 37/1610 2/87 124/57 2/87 37/17 15/652 24/11 5/217 3/130 35/16 1/44 2/87 11/5 5/216 31/14 1/43 20/9 1/43 9/386 29/13 3/128 38/17 11/470 7/299 47/21 3/128 9/4 3/128 2/85 34/15 9/379 1/42 93/41 1/42 59/26 1/42 12/503 84/37 5/209 9/376 25/11 3/124 66/29 1/45 1/44 41/18 0/1 1/44 16/7 1/42 1/41 39/17 1/40 62/27 0/1 23/10 0/1 1/44 30/13 3/130 1/43 7/3 3/128 33/14 5/212 8/339 125/53 53/2244 217/92 3/127 92/39 3/127 37/1566 59/25 7/296 26/11 3/127 1/42 97/41 7/296 71/30 4/169 25/1056 45/19 11/464 64/27 9/380 5/211 83/35 35/1476 19/8 8/337 1/42 31/13 1/42 12/5 1/42 5/209 65/27 9/376 118/49 15/626 11/459 53/22 4/167 7/292 41/17 17/708 29/12 2/83 3/124 46/19 1/42 3/125 155/64 3/125 109/45 5/208 63/26 1/42 2/83 17/7 5/208 39/16 14/579 3/124 100/41 29/1198 13/537 61/25 25/1032 83/34 4/165 29/1196 22/9 7/288 1/41 27/11 1/40 59/24 0/1 1/42 32/13 1/42 1/41 5/2 0/1 1/42 33/13 3/124 94/37 1/42 1/41 155/61 1/42 61/24 1/42 2/83 28/11 1/42 1/41 23/9 3/124 64/25 3/124 13/537 105/41 25/1032 41/16 4/165 13/536 59/23 3/124 18/7 7/288 1/41 31/12 1/41 13/5 5/204 47/18 4/163 3/122 34/13 3/122 11/447 123/47 47/1908 89/34 26/1055 7/284 55/21 15/608 186/71 2/81 131/50 2/81 29/1174 76/29 9/364 7/283 97/37 1/40 21/8 2/81 1/40 71/27 5/204 121/46 2/81 5/202 50/19 1/42 1/41 29/11 7/284 124/47 2/81 95/36 2/81 25/1012 66/25 9/364 7/283 37/14 2/81 5/202 45/17 13/524 8/3 1/40 1/39 35/13 1/36 62/23 0/1 27/10 0/1 1/44 46/17 1/42 1/41 19/7 1/40 49/18 2/83 3/124 30/11 1/42 1/41 41/15 11/452 93/34 1/41 52/19 1/41 17/696 63/23 23/940 11/4 3/122 2/81 36/13 1/41 3/122 97/35 1/40 61/22 3/122 2/81 86/31 1/41 3/122 25/9 9/364 64/23 3/121 13/524 39/14 2/81 1/40 14/5 5/201 1/40 31/11 1/40 17/6 1/40 6/239 37/13 13/516 20/7 3/119 5/198 23/8 0/1 1/40 3/1 1/40 25/8 5/194 4/155 22/7 1/39 3/116 41/13 13/500 19/6 0/1 1/38 16/5 5/191 1/38 29/9 3/112 13/4 0/1 1/36 62/19 0/1 49/15 1/48 36/11 1/43 1/42 59/18 0/1 1/42 23/7 1/40 56/17 1/41 3/122 89/27 1/40 33/10 1/40 4/159 43/13 7/276 10/3 1/39 3/116 67/20 7/270 2/77 124/37 2/77 57/17 5/192 104/31 5/191 1/38 47/14 0/1 1/38 37/11 1/36 64/19 5/196 1/39 155/46 1/39 91/27 11/428 27/8 4/155 3/116 98/29 7/270 23/887 71/21 19/732 186/55 2/77 115/34 2/77 29/1116 44/13 5/192 3/115 61/18 2/77 1/38 17/5 5/192 41/12 7/268 4/153 65/19 9/344 89/26 11/420 6/229 24/7 7/267 1/38 31/9 1/38 7/2 1/38 2/75 32/9 1/38 1/37 57/16 1/38 2/75 82/23 1/38 1/37 25/7 7/260 93/26 1/37 68/19 1/37 19/702 43/12 7/258 6/221 104/29 13/478 17/625 165/46 4/147 43/1580 61/17 17/624 18/5 3/109 1/36 65/18 0/1 1/34 112/31 1/37 3/110 47/13 1/36 123/34 0/1 1/34 76/21 1/37 1/36 29/8 1/36 2/71 69/19 1/32 40/11 1/33 1/32 51/14 0/1 1/26 62/17 0/1 11/3 1/40 37/10 7/270 2/77 100/27 7/269 19/730 63/17 17/652 89/24 7/268 18/689 26/7 7/267 1/38 93/25 1/38 67/18 1/38 18/683 41/11 11/416 97/26 4/151 7/264 56/15 1/38 3/113 183/49 13/488 310/83 2/75 127/34 2/75 7/262 71/19 1/36 15/4 1/38 2/75 34/9 3/115 1/38 53/14 9/340 4/151 72/19 3/113 17/640 19/5 3/112 61/16 1/38 2/75 103/27 21/788 248/65 2/75 145/38 2/75 35/1312 42/11 7/262 5/187 23/6 3/112 4/149 50/13 9/335 5/186 77/20 5/186 16/595 27/7 7/260 31/8 1/37 4/1 1/37 1/36 25/6 0/1 1/38 21/5 5/188 17/4 2/73 1/36 47/11 1/36 124/29 0/1 77/18 0/1 1/38 30/7 1/38 1/37 13/3 1/36 74/17 7/255 5/182 61/14 2/73 5/182 48/11 1/37 1/36 83/19 19/692 35/8 2/73 1/36 22/5 5/181 1/36 31/7 1/36 9/2 1/36 2/71 41/9 9/316 32/7 1/35 1/34 23/5 1/36 60/13 3/109 1/36 37/8 5/178 2/71 14/3 1/35 3/104 61/13 13/444 47/10 1/34 8/271 33/7 3/100 52/11 1/33 1/32 19/4 0/1 1/30 62/13 0/1 43/9 1/48 24/5 1/39 1/38 29/6 2/75 3/112 5/1 1/36 31/6 1/35 26/5 1/35 5/174 21/4 3/104 2/69 16/3 3/103 1/34 27/5 1/36 65/12 0/1 1/34 38/7 1/35 5/174 11/2 1/34 2/67 61/11 11/360 50/9 5/162 3/97 39/7 1/32 28/5 1/31 1/30 45/8 0/1 1/20 62/11 0/1 17/3 1/40 23/4 1/36 4/143 29/5 5/176 35/6 3/104 2/69 6/1 1/35 1/34 31/5 1/34 25/4 1/34 4/135 19/3 3/100 13/2 0/1 1/32 33/5 3/100 20/3 1/33 3/98 67/10 3/98 2/65 47/7 1/32 74/11 3/97 7/226 27/4 1/32 4/127 7/1 1/36 22/3 1/36 1/35 37/5 5/168 15/2 1/34 2/67 38/5 1/34 1/33 23/3 3/100 31/4 1/33 8/1 1/33 1/32 17/2 1/32 2/63 9/1 1/36 19/2 0/1 1/30 10/1 1/33 1/32 11/1 1/32 12/1 1/30 1/29 1/0 0/1 1/30 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(63,682,-40,-433) (-10/1,1/0) -> (-52/33,-63/40) Hyperbolic Matrix(125,1178,-92,-867) (-10/1,-9/1) -> (-53/39,-72/53) Hyperbolic Matrix(187,1612,108,931) (-9/1,-17/2) -> (45/26,71/41) Hyperbolic Matrix(61,496,38,309) (-17/2,-8/1) -> (8/5,45/28) Hyperbolic Matrix(63,496,8,63) (-8/1,-31/4) -> (31/4,8/1) Hyperbolic Matrix(185,1426,24,185) (-31/4,-23/3) -> (23/3,31/4) Hyperbolic Matrix(495,3782,292,2231) (-23/3,-38/5) -> (100/59,39/23) Hyperbolic Matrix(311,2356,172,1303) (-38/5,-15/2) -> (47/26,38/21) Hyperbolic Matrix(309,2294,-92,-683) (-15/2,-22/3) -> (-84/25,-47/14) Hyperbolic Matrix(247,1798,68,495) (-22/3,-7/1) -> (69/19,40/11) Hyperbolic Matrix(309,2108,118,805) (-7/1,-27/4) -> (89/34,55/21) Hyperbolic Matrix(497,3348,-368,-2479) (-27/4,-47/7) -> (-77/57,-27/20) Hyperbolic Matrix(869,5828,-610,-4091) (-47/7,-20/3) -> (-104/73,-47/33) Hyperbolic Matrix(187,1240,-84,-557) (-20/3,-13/2) -> (-49/22,-20/9) Hyperbolic Matrix(185,1178,68,433) (-13/2,-19/3) -> (19/7,49/18) Hyperbolic Matrix(247,1550,-178,-1117) (-19/3,-6/1) -> (-68/49,-43/31) Hyperbolic Matrix(247,1426,-172,-993) (-6/1,-23/4) -> (-23/16,-56/39) Hyperbolic Matrix(185,1054,76,433) (-23/4,-17/3) -> (17/7,39/16) Hyperbolic Matrix(309,1736,-254,-1427) (-17/3,-28/5) -> (-28/23,-45/37) Hyperbolic Matrix(311,1736,-122,-681) (-28/5,-11/2) -> (-51/20,-28/11) Hyperbolic Matrix(125,682,-68,-371) (-11/2,-27/5) -> (-35/19,-11/6) Hyperbolic Matrix(311,1674,196,1055) (-27/5,-16/3) -> (46/29,27/17) Hyperbolic Matrix(187,992,82,435) (-16/3,-21/4) -> (41/18,16/7) Hyperbolic Matrix(309,1612,-226,-1179) (-21/4,-5/1) -> (-67/49,-41/30) Hyperbolic Matrix(63,310,38,187) (-5/1,-29/6) -> (33/20,5/3) Hyperbolic Matrix(373,1798,206,993) (-29/6,-24/5) -> (38/21,29/16) Hyperbolic Matrix(311,1488,-246,-1177) (-24/5,-19/4) -> (-43/34,-24/19) Hyperbolic Matrix(433,2046,-302,-1427) (-19/4,-33/7) -> (-33/23,-43/30) Hyperbolic Matrix(619,2914,-448,-2109) (-33/7,-14/3) -> (-76/55,-29/21) Hyperbolic Matrix(187,868,-120,-557) (-14/3,-23/5) -> (-39/25,-14/9) Hyperbolic Matrix(311,1426,176,807) (-23/5,-32/7) -> (30/17,23/13) Hyperbolic Matrix(557,2542,-204,-931) (-32/7,-9/2) -> (-71/26,-30/11) Hyperbolic Matrix(125,558,28,125) (-9/2,-31/7) -> (31/7,9/2) Hyperbolic Matrix(309,1364,70,309) (-31/7,-22/5) -> (22/5,31/7) Hyperbolic Matrix(311,1364,184,807) (-22/5,-35/8) -> (27/16,22/13) Hyperbolic Matrix(1675,7316,-1036,-4525) (-35/8,-48/11) -> (-76/47,-97/60) Hyperbolic Matrix(2417,10540,668,2913) (-48/11,-61/14) -> (123/34,76/21) Hyperbolic Matrix(371,1612,-200,-869) (-61/14,-13/3) -> (-13/7,-63/34) Hyperbolic Matrix(433,1860,274,1177) (-13/3,-30/7) -> (30/19,49/31) Hyperbolic Matrix(869,3720,-666,-2851) (-30/7,-47/11) -> (-77/59,-30/23) Hyperbolic Matrix(247,1054,116,495) (-47/11,-17/4) -> (17/8,15/7) Hyperbolic Matrix(249,1054,176,745) (-17/4,-21/5) -> (41/29,17/12) Hyperbolic Matrix(371,1550,-208,-869) (-21/5,-4/1) -> (-66/37,-41/23) Hyperbolic Matrix(63,248,16,63) (-4/1,-31/8) -> (31/8,4/1) Hyperbolic Matrix(433,1674,112,433) (-31/8,-27/7) -> (27/7,31/8) Hyperbolic Matrix(869,3348,-740,-2851) (-27/7,-50/13) -> (-74/63,-27/23) Hyperbolic Matrix(743,2852,452,1735) (-50/13,-23/6) -> (23/14,74/45) Hyperbolic Matrix(373,1426,130,497) (-23/6,-42/11) -> (20/7,23/8) Hyperbolic Matrix(993,3782,-716,-2727) (-42/11,-19/5) -> (-43/31,-104/75) Hyperbolic Matrix(557,2108,-246,-931) (-19/5,-34/9) -> (-34/15,-43/19) Hyperbolic Matrix(559,2108,214,807) (-34/9,-15/4) -> (47/18,34/13) Hyperbolic Matrix(929,3472,514,1921) (-15/4,-71/19) -> (9/5,47/26) Hyperbolic Matrix(3037,11346,-1776,-6635) (-71/19,-56/15) -> (-118/69,-53/31) Hyperbolic Matrix(681,2542,116,433) (-56/15,-97/26) -> (35/6,6/1) Hyperbolic Matrix(2543,9486,582,2171) (-97/26,-41/11) -> (83/19,35/8) Hyperbolic Matrix(433,1612,-350,-1303) (-41/11,-26/7) -> (-26/21,-21/17) Hyperbolic Matrix(185,682,-118,-435) (-26/7,-11/3) -> (-11/7,-36/23) Hyperbolic Matrix(681,2480,-494,-1799) (-11/3,-40/11) -> (-40/29,-51/37) Hyperbolic Matrix(683,2480,-290,-1053) (-40/11,-29/8) -> (-33/14,-40/17) Hyperbolic Matrix(805,2914,-634,-2295) (-29/8,-47/13) -> (-47/37,-33/26) Hyperbolic Matrix(3037,10974,-2248,-8123) (-47/13,-112/31) -> (-50/37,-77/57) Hyperbolic Matrix(4651,16802,1768,6387) (-112/31,-65/18) -> (121/46,50/19) Hyperbolic Matrix(619,2232,378,1363) (-65/18,-18/5) -> (18/11,59/36) Hyperbolic Matrix(1053,3782,742,2665) (-18/5,-61/17) -> (61/43,44/31) Hyperbolic Matrix(1055,3782,-778,-2789) (-61/17,-43/12) -> (-19/14,-61/45) Hyperbolic Matrix(433,1550,-364,-1303) (-43/12,-25/7) -> (-25/21,-19/16) Hyperbolic Matrix(991,3534,-348,-1241) (-25/7,-57/16) -> (-57/20,-37/13) Hyperbolic Matrix(557,1984,226,805) (-57/16,-32/9) -> (32/13,5/2) Hyperbolic Matrix(123,434,70,247) (-32/9,-7/2) -> (7/4,30/17) Hyperbolic Matrix(125,434,36,125) (-7/2,-31/9) -> (31/9,7/2) Hyperbolic Matrix(433,1488,126,433) (-31/9,-24/7) -> (24/7,31/9) Hyperbolic Matrix(1177,4030,-960,-3287) (-24/7,-65/19) -> (-65/53,-38/31) Hyperbolic Matrix(1487,5084,580,1983) (-65/19,-41/12) -> (41/16,59/23) Hyperbolic Matrix(309,1054,236,805) (-41/12,-17/5) -> (17/13,21/16) Hyperbolic Matrix(621,2108,256,869) (-17/5,-61/18) -> (63/26,17/7) Hyperbolic Matrix(1117,3782,806,2729) (-61/18,-44/13) -> (18/13,61/44) Hyperbolic Matrix(2419,8184,-1704,-5765) (-44/13,-71/21) -> (-115/81,-44/31) Hyperbolic Matrix(2605,8804,-1504,-5083) (-71/21,-27/8) -> (-97/56,-71/41) Hyperbolic Matrix(1177,3968,202,681) (-27/8,-91/27) -> (29/5,35/6) Hyperbolic Matrix(8371,28210,2484,8371) (-91/27,-155/46) -> (155/46,91/27) Hyperbolic Matrix(5889,19840,1748,5889) (-155/46,-64/19) -> (64/19,155/46) Hyperbolic Matrix(1179,3968,424,1427) (-64/19,-37/11) -> (25/9,64/23) Hyperbolic Matrix(1549,5208,682,2293) (-37/11,-84/25) -> (84/37,25/11) Hyperbolic Matrix(1737,5828,-1478,-4959) (-47/14,-57/17) -> (-67/57,-47/40) Hyperbolic Matrix(371,1240,-260,-869) (-57/17,-10/3) -> (-10/7,-67/47) Hyperbolic Matrix(619,2046,-488,-1613) (-10/3,-33/10) -> (-33/26,-52/41) Hyperbolic Matrix(433,1426,-358,-1179) (-33/10,-23/7) -> (-23/19,-29/24) Hyperbolic Matrix(435,1426,284,931) (-23/7,-59/18) -> (3/2,23/15) Hyperbolic Matrix(1117,3658,644,2109) (-59/18,-36/11) -> (26/15,59/34) Hyperbolic Matrix(683,2232,-474,-1549) (-36/11,-13/4) -> (-49/34,-36/25) Hyperbolic Matrix(557,1798,-250,-807) (-13/4,-29/9) -> (-29/13,-49/22) Hyperbolic Matrix(559,1798,328,1055) (-29/9,-16/5) -> (46/27,29/17) Hyperbolic Matrix(371,1178,234,743) (-16/5,-19/6) -> (19/12,46/29) Hyperbolic Matrix(745,2356,314,993) (-19/6,-41/13) -> (83/35,19/8) Hyperbolic Matrix(867,2728,512,1611) (-41/13,-22/7) -> (22/13,83/49) Hyperbolic Matrix(497,1550,-278,-867) (-22/7,-3/1) -> (-59/33,-84/47) Hyperbolic Matrix(495,1426,344,991) (-3/1,-23/8) -> (23/16,59/41) Hyperbolic Matrix(497,1426,130,373) (-23/8,-20/7) -> (42/11,23/6) Hyperbolic Matrix(2479,7068,-1740,-4961) (-20/7,-57/20) -> (-57/40,-104/73) Hyperbolic Matrix(807,2294,502,1427) (-37/13,-17/6) -> (45/28,37/23) Hyperbolic Matrix(373,1054,132,373) (-17/6,-31/11) -> (31/11,17/6) Hyperbolic Matrix(309,868,110,309) (-31/11,-14/5) -> (14/5,31/11) Hyperbolic Matrix(311,868,-244,-681) (-14/5,-25/9) -> (-37/29,-14/11) Hyperbolic Matrix(247,682,-180,-497) (-25/9,-11/4) -> (-11/8,-37/27) Hyperbolic Matrix(249,682,-226,-619) (-11/4,-52/19) -> (-10/9,-11/10) Hyperbolic Matrix(3535,9672,1292,3535) (-52/19,-93/34) -> (93/34,52/19) Hyperbolic Matrix(2789,7626,1020,2789) (-93/34,-41/15) -> (41/15,93/34) Hyperbolic Matrix(1861,5084,772,2109) (-41/15,-71/26) -> (53/22,41/17) Hyperbolic Matrix(683,1860,524,1427) (-30/11,-49/18) -> (13/10,30/23) Hyperbolic Matrix(433,1178,68,185) (-49/18,-19/7) -> (19/3,13/2) Hyperbolic Matrix(435,1178,298,807) (-19/7,-46/17) -> (16/11,19/13) Hyperbolic Matrix(619,1674,504,1363) (-46/17,-27/10) -> (27/22,16/13) Hyperbolic Matrix(185,496,-116,-311) (-27/10,-8/3) -> (-8/5,-35/22) Hyperbolic Matrix(187,496,164,435) (-8/3,-45/17) -> (17/15,8/7) Hyperbolic Matrix(867,2294,562,1487) (-45/17,-37/14) -> (37/24,17/11) Hyperbolic Matrix(681,1798,164,433) (-37/14,-66/25) -> (4/1,25/6) Hyperbolic Matrix(3101,8184,-1926,-5083) (-66/25,-29/11) -> (-95/59,-66/41) Hyperbolic Matrix(683,1798,-400,-1053) (-29/11,-21/8) -> (-41/24,-29/17) Hyperbolic Matrix(2791,7316,-2152,-5641) (-21/8,-76/29) -> (-48/37,-83/64) Hyperbolic Matrix(5395,14136,-3336,-8741) (-76/29,-55/21) -> (-131/81,-76/47) Hyperbolic Matrix(805,2108,118,309) (-55/21,-89/34) -> (27/4,7/1) Hyperbolic Matrix(6325,16554,1706,4465) (-89/34,-123/47) -> (63/17,89/24) Hyperbolic Matrix(2109,5518,1280,3349) (-123/47,-34/13) -> (28/17,61/37) Hyperbolic Matrix(807,2108,214,559) (-34/13,-47/18) -> (15/4,34/9) Hyperbolic Matrix(309,806,166,433) (-47/18,-13/5) -> (13/7,15/8) Hyperbolic Matrix(311,806,120,311) (-13/5,-31/12) -> (31/12,13/5) Hyperbolic Matrix(433,1116,168,433) (-31/12,-18/7) -> (18/7,31/12) Hyperbolic Matrix(869,2232,628,1613) (-18/7,-59/23) -> (65/47,18/13) Hyperbolic Matrix(1983,5084,580,1487) (-59/23,-41/16) -> (41/12,65/19) Hyperbolic Matrix(3099,7936,-1792,-4589) (-41/16,-64/25) -> (-64/37,-83/48) Hyperbolic Matrix(1115,2852,242,619) (-64/25,-23/9) -> (23/5,60/13) Hyperbolic Matrix(1117,2852,826,2109) (-23/9,-74/29) -> (50/37,23/17) Hyperbolic Matrix(559,1426,-510,-1301) (-74/29,-51/20) -> (-11/10,-12/11) Hyperbolic Matrix(2169,5518,1340,3409) (-28/11,-61/24) -> (123/76,34/21) Hyperbolic Matrix(2417,6138,-1392,-3535) (-61/24,-33/13) -> (-33/19,-125/72) Hyperbolic Matrix(123,310,98,247) (-33/13,-5/2) -> (5/4,29/23) Hyperbolic Matrix(805,1984,226,557) (-5/2,-32/13) -> (32/9,57/16) Hyperbolic Matrix(2975,7316,1714,4215) (-32/13,-59/24) -> (59/34,92/53) Hyperbolic Matrix(1363,3348,252,619) (-59/24,-27/11) -> (27/5,65/12) Hyperbolic Matrix(557,1364,430,1053) (-27/11,-22/9) -> (22/17,35/27) Hyperbolic Matrix(1117,2728,762,1861) (-22/9,-83/34) -> (41/28,22/15) Hyperbolic Matrix(4649,11346,-3430,-8371) (-83/34,-61/25) -> (-61/45,-103/76) Hyperbolic Matrix(5083,12400,1372,3347) (-61/25,-100/41) -> (100/27,63/17) Hyperbolic Matrix(1551,3782,1348,3287) (-100/41,-39/16) -> (23/20,38/33) Hyperbolic Matrix(433,1054,76,185) (-39/16,-17/7) -> (17/3,23/4) Hyperbolic Matrix(869,2108,256,621) (-17/7,-63/26) -> (61/18,17/5) Hyperbolic Matrix(6757,16368,1868,4525) (-63/26,-109/45) -> (47/13,123/34) Hyperbolic Matrix(13951,33790,5760,13951) (-109/45,-155/64) -> (155/64,109/45) Hyperbolic Matrix(5889,14260,2432,5889) (-155/64,-46/19) -> (46/19,155/64) Hyperbolic Matrix(743,1798,512,1239) (-46/19,-29/12) -> (29/20,16/11) Hyperbolic Matrix(745,1798,-462,-1115) (-29/12,-12/5) -> (-50/31,-29/18) Hyperbolic Matrix(311,744,130,311) (-12/5,-31/13) -> (31/13,12/5) Hyperbolic Matrix(495,1178,208,495) (-31/13,-19/8) -> (19/8,31/13) Hyperbolic Matrix(3347,7936,-2040,-4837) (-19/8,-64/27) -> (-64/39,-105/64) Hyperbolic Matrix(497,1178,262,621) (-64/27,-45/19) -> (17/9,2/1) Hyperbolic Matrix(681,1612,602,1425) (-45/19,-71/30) -> (9/8,17/15) Hyperbolic Matrix(3721,8804,-2620,-6199) (-71/30,-26/11) -> (-98/69,-71/50) Hyperbolic Matrix(1549,3658,1076,2541) (-26/11,-59/25) -> (59/41,36/25) Hyperbolic Matrix(3101,7316,1840,4341) (-59/25,-92/39) -> (32/19,59/35) Hyperbolic Matrix(2603,6138,-1578,-3721) (-92/39,-33/14) -> (-33/20,-94/57) Hyperbolic Matrix(185,434,26,61) (-40/17,-7/3) -> (7/1,22/3) Hyperbolic Matrix(187,434,134,311) (-7/3,-30/13) -> (32/23,7/5) Hyperbolic Matrix(619,1426,484,1115) (-30/13,-23/10) -> (23/18,32/25) Hyperbolic Matrix(433,992,-244,-559) (-23/10,-16/7) -> (-16/9,-39/22) Hyperbolic Matrix(435,992,82,187) (-16/7,-41/18) -> (21/4,16/3) Hyperbolic Matrix(681,1550,-518,-1179) (-41/18,-25/11) -> (-25/19,-21/16) Hyperbolic Matrix(683,1550,-464,-1053) (-25/11,-59/26) -> (-3/2,-25/17) Hyperbolic Matrix(4837,10974,2132,4837) (-59/26,-93/41) -> (93/41,59/26) Hyperbolic Matrix(2789,6324,1230,2789) (-93/41,-34/15) -> (34/15,93/41) Hyperbolic Matrix(247,558,-220,-497) (-43/19,-9/4) -> (-9/8,-19/17) Hyperbolic Matrix(1551,3472,1136,2543) (-9/4,-47/21) -> (15/11,71/52) Hyperbolic Matrix(1053,2356,914,2045) (-47/21,-38/17) -> (38/33,15/13) Hyperbolic Matrix(805,1798,638,1425) (-38/17,-29/13) -> (29/23,24/19) Hyperbolic Matrix(559,1240,252,559) (-20/9,-31/14) -> (31/14,20/9) Hyperbolic Matrix(309,682,140,309) (-31/14,-11/5) -> (11/5,31/14) Hyperbolic Matrix(311,682,-254,-557) (-11/5,-24/11) -> (-38/31,-11/9) Hyperbolic Matrix(2107,4588,-1538,-3349) (-24/11,-37/17) -> (-37/27,-100/73) Hyperbolic Matrix(2851,6200,-1540,-3349) (-37/17,-50/23) -> (-50/27,-87/47) Hyperbolic Matrix(743,1612,-572,-1241) (-50/23,-13/6) -> (-13/10,-74/57) Hyperbolic Matrix(373,806,230,497) (-13/6,-15/7) -> (47/29,13/8) Hyperbolic Matrix(495,1054,116,247) (-15/7,-17/8) -> (17/4,47/11) Hyperbolic Matrix(557,1178,322,681) (-17/8,-2/1) -> (64/37,45/26) Hyperbolic Matrix(621,1178,262,497) (-2/1,-17/9) -> (45/19,64/27) Hyperbolic Matrix(559,1054,428,807) (-17/9,-15/8) -> (47/36,17/13) Hyperbolic Matrix(433,806,166,309) (-15/8,-13/7) -> (13/5,47/18) Hyperbolic Matrix(435,806,34,63) (-63/34,-50/27) -> (12/1,1/0) Hyperbolic Matrix(8307,15376,3818,7067) (-87/47,-124/67) -> (124/57,37/17) Hyperbolic Matrix(8309,15376,3820,7069) (-124/67,-37/20) -> (87/40,124/57) Hyperbolic Matrix(2045,3782,-1308,-2419) (-37/20,-24/13) -> (-86/55,-25/16) Hyperbolic Matrix(1613,2976,-1142,-2107) (-24/13,-35/19) -> (-89/63,-24/17) Hyperbolic Matrix(373,682,204,373) (-11/6,-31/17) -> (31/17,11/6) Hyperbolic Matrix(681,1240,374,681) (-31/17,-20/11) -> (20/11,31/17) Hyperbolic Matrix(683,1240,-580,-1053) (-20/11,-29/16) -> (-33/28,-20/17) Hyperbolic Matrix(993,1798,206,373) (-29/16,-38/21) -> (24/5,29/6) Hyperbolic Matrix(1303,2356,172,311) (-38/21,-47/26) -> (15/2,38/5) Hyperbolic Matrix(1921,3472,514,929) (-47/26,-9/5) -> (71/19,15/4) Hyperbolic Matrix(1177,2108,-866,-1551) (-9/5,-34/19) -> (-34/25,-53/39) Hyperbolic Matrix(3535,6324,1976,3535) (-34/19,-93/52) -> (93/52,34/19) Hyperbolic Matrix(6137,10974,3432,6137) (-93/52,-59/33) -> (59/33,93/52) Hyperbolic Matrix(2915,5208,2048,3659) (-84/47,-25/14) -> (37/26,84/59) Hyperbolic Matrix(2293,4092,868,1549) (-25/14,-66/37) -> (66/25,37/14) Hyperbolic Matrix(557,992,452,805) (-41/23,-16/9) -> (16/13,21/17) Hyperbolic Matrix(2169,3844,944,1673) (-39/22,-62/35) -> (62/27,23/10) Hyperbolic Matrix(2171,3844,946,1675) (-62/35,-23/13) -> (39/17,62/27) Hyperbolic Matrix(807,1426,176,311) (-23/13,-30/17) -> (32/7,23/5) Hyperbolic Matrix(247,434,70,123) (-30/17,-7/4) -> (7/2,32/9) Hyperbolic Matrix(1427,2480,-1034,-1797) (-7/4,-33/19) -> (-29/21,-69/50) Hyperbolic Matrix(18785,32612,7392,12833) (-125/72,-217/125) -> (155/61,61/24) Hyperbolic Matrix(19965,34658,7858,13641) (-217/125,-92/53) -> (94/37,155/61) Hyperbolic Matrix(4215,7316,1714,2975) (-92/53,-59/34) -> (59/24,32/13) Hyperbolic Matrix(2109,3658,644,1117) (-59/34,-26/15) -> (36/11,59/18) Hyperbolic Matrix(2791,4836,752,1303) (-26/15,-97/56) -> (89/24,26/7) Hyperbolic Matrix(931,1612,108,187) (-71/41,-45/26) -> (17/2,9/1) Hyperbolic Matrix(681,1178,322,557) (-45/26,-64/37) -> (2/1,17/8) Hyperbolic Matrix(1363,2356,932,1611) (-83/48,-19/11) -> (19/13,41/28) Hyperbolic Matrix(683,1178,396,683) (-19/11,-31/18) -> (31/18,19/11) Hyperbolic Matrix(433,744,252,433) (-31/18,-12/7) -> (12/7,31/18) Hyperbolic Matrix(4711,8060,1304,2231) (-12/7,-65/38) -> (65/18,112/31) Hyperbolic Matrix(14755,25234,-10804,-18477) (-65/38,-118/69) -> (-56/41,-183/134) Hyperbolic Matrix(2975,5084,1886,3223) (-53/31,-41/24) -> (41/26,71/45) Hyperbolic Matrix(1055,1798,328,559) (-29/17,-46/27) -> (16/5,29/9) Hyperbolic Matrix(8371,14260,4914,8371) (-46/27,-155/91) -> (155/91,46/27) Hyperbolic Matrix(19839,33790,11648,19839) (-155/91,-109/64) -> (109/64,155/91) Hyperbolic Matrix(5643,9610,1202,2047) (-109/64,-63/37) -> (61/13,47/10) Hyperbolic Matrix(1239,2108,874,1487) (-63/37,-17/10) -> (17/12,61/43) Hyperbolic Matrix(621,1054,512,869) (-17/10,-39/23) -> (23/19,17/14) Hyperbolic Matrix(2231,3782,292,495) (-39/23,-100/59) -> (38/5,23/3) Hyperbolic Matrix(6695,11346,2414,4091) (-100/59,-61/36) -> (61/22,86/31) Hyperbolic Matrix(8929,15128,-6440,-10911) (-61/36,-83/49) -> (-165/119,-61/44) Hyperbolic Matrix(1611,2728,512,867) (-83/49,-22/13) -> (22/7,41/13) Hyperbolic Matrix(807,1364,184,311) (-22/13,-27/16) -> (35/8,22/5) Hyperbolic Matrix(4155,7006,1214,2047) (-27/16,-59/35) -> (65/19,89/26) Hyperbolic Matrix(4341,7316,1840,3101) (-59/35,-32/19) -> (92/39,59/25) Hyperbolic Matrix(1179,1984,848,1427) (-32/19,-5/3) -> (57/41,32/23) Hyperbolic Matrix(187,310,38,63) (-5/3,-33/20) -> (29/6,5/1) Hyperbolic Matrix(21017,34658,8910,14693) (-94/57,-155/94) -> (217/92,92/39) Hyperbolic Matrix(19779,32612,8386,13827) (-155/94,-61/37) -> (125/53,217/92) Hyperbolic Matrix(3349,5518,1280,2109) (-61/37,-28/17) -> (34/13,123/47) Hyperbolic Matrix(1055,1736,-866,-1425) (-28/17,-23/14) -> (-39/32,-28/23) Hyperbolic Matrix(2417,3968,868,1425) (-23/14,-64/39) -> (64/23,39/14) Hyperbolic Matrix(3099,5084,982,1611) (-105/64,-41/25) -> (41/13,19/6) Hyperbolic Matrix(3101,5084,2194,3597) (-41/25,-59/36) -> (65/46,41/29) Hyperbolic Matrix(1363,2232,378,619) (-59/36,-18/11) -> (18/5,65/18) Hyperbolic Matrix(683,1116,418,683) (-18/11,-31/19) -> (31/19,18/11) Hyperbolic Matrix(495,806,304,495) (-31/19,-13/8) -> (13/8,31/19) Hyperbolic Matrix(497,806,230,373) (-13/8,-47/29) -> (15/7,13/6) Hyperbolic Matrix(1301,2108,956,1549) (-47/29,-34/21) -> (34/25,15/11) Hyperbolic Matrix(3409,5518,1340,2169) (-34/21,-123/76) -> (61/24,28/11) Hyperbolic Matrix(10727,17360,3870,6263) (-123/76,-89/55) -> (97/35,61/22) Hyperbolic Matrix(1303,2108,1112,1799) (-89/55,-55/34) -> (7/6,27/23) Hyperbolic Matrix(21389,34596,8164,13205) (-55/34,-186/115) -> (186/71,131/50) Hyperbolic Matrix(21391,34596,8166,13207) (-186/115,-131/81) -> (55/21,186/71) Hyperbolic Matrix(3721,6014,998,1613) (-97/60,-21/13) -> (41/11,97/26) Hyperbolic Matrix(1921,3100,422,681) (-21/13,-71/44) -> (9/2,41/9) Hyperbolic Matrix(10913,17608,-7992,-12895) (-71/44,-121/75) -> (-127/93,-71/52) Hyperbolic Matrix(10415,16802,7532,12151) (-121/75,-50/31) -> (112/81,65/47) Hyperbolic Matrix(9547,15376,3618,5827) (-29/18,-124/77) -> (124/47,95/36) Hyperbolic Matrix(9549,15376,3620,5829) (-124/77,-95/59) -> (29/11,124/47) Hyperbolic Matrix(2543,4092,1118,1799) (-66/41,-37/23) -> (25/11,66/29) Hyperbolic Matrix(1427,2294,502,807) (-37/23,-45/28) -> (17/6,37/13) Hyperbolic Matrix(309,496,38,61) (-45/28,-8/5) -> (8/1,17/2) Hyperbolic Matrix(2417,3844,896,1425) (-35/22,-62/39) -> (62/23,27/10) Hyperbolic Matrix(2419,3844,898,1427) (-62/39,-27/17) -> (35/13,62/23) Hyperbolic Matrix(1055,1674,196,311) (-27/17,-46/29) -> (16/3,27/5) Hyperbolic Matrix(743,1178,234,371) (-46/29,-19/12) -> (19/6,16/5) Hyperbolic Matrix(745,1178,628,993) (-19/12,-49/31) -> (13/11,19/16) Hyperbolic Matrix(1177,1860,274,433) (-49/31,-30/19) -> (30/7,13/3) Hyperbolic Matrix(1611,2542,-1258,-1985) (-30/19,-41/26) -> (-41/32,-32/25) Hyperbolic Matrix(4837,7626,3068,4837) (-41/26,-93/59) -> (93/59,41/26) Hyperbolic Matrix(6137,9672,3894,6137) (-93/59,-52/33) -> (52/33,93/59) Hyperbolic Matrix(867,1364,-710,-1117) (-63/40,-11/7) -> (-11/9,-61/50) Hyperbolic Matrix(6697,10478,1982,3101) (-36/23,-97/62) -> (27/8,98/29) Hyperbolic Matrix(11097,17360,4240,6633) (-97/62,-61/39) -> (123/47,89/34) Hyperbolic Matrix(7255,11346,2974,4651) (-61/39,-86/55) -> (100/41,61/25) Hyperbolic Matrix(2541,3968,1786,2789) (-25/16,-64/41) -> (64/45,37/26) Hyperbolic Matrix(2543,3968,994,1551) (-64/41,-39/25) -> (23/9,64/25) Hyperbolic Matrix(559,868,360,559) (-14/9,-31/20) -> (31/20,14/9) Hyperbolic Matrix(681,1054,440,681) (-31/20,-17/11) -> (17/11,31/20) Hyperbolic Matrix(1487,2294,562,867) (-17/11,-37/24) -> (37/14,45/17) Hyperbolic Matrix(2293,3534,-1650,-2543) (-37/24,-20/13) -> (-82/59,-25/18) Hyperbolic Matrix(929,1426,686,1053) (-20/13,-23/15) -> (23/17,42/31) Hyperbolic Matrix(931,1426,284,435) (-23/15,-3/2) -> (59/18,23/7) Hyperbolic Matrix(929,1364,126,185) (-25/17,-22/15) -> (22/3,37/5) Hyperbolic Matrix(1861,2728,762,1117) (-22/15,-41/28) -> (83/34,22/9) Hyperbolic Matrix(3473,5084,1356,1985) (-41/28,-19/13) -> (105/41,41/16) Hyperbolic Matrix(807,1178,298,435) (-19/13,-16/11) -> (46/17,19/7) Hyperbolic Matrix(1239,1798,512,743) (-16/11,-29/20) -> (29/12,46/19) Hyperbolic Matrix(557,806,-472,-683) (-29/20,-13/9) -> (-13/11,-33/28) Hyperbolic Matrix(2665,3844,816,1177) (-13/9,-62/43) -> (62/19,49/15) Hyperbolic Matrix(2667,3844,818,1179) (-62/43,-49/34) -> (13/4,62/19) Hyperbolic Matrix(2541,3658,1076,1549) (-36/25,-59/41) -> (59/25,26/11) Hyperbolic Matrix(991,1426,344,495) (-59/41,-23/16) -> (23/8,3/1) Hyperbolic Matrix(7255,10416,1944,2791) (-56/39,-89/62) -> (97/26,56/15) Hyperbolic Matrix(6263,8990,1858,2667) (-89/62,-33/23) -> (91/27,27/8) Hyperbolic Matrix(2293,3286,-1688,-2419) (-43/30,-10/7) -> (-72/53,-19/14) Hyperbolic Matrix(10787,15376,3218,4587) (-67/47,-124/87) -> (124/37,57/17) Hyperbolic Matrix(10789,15376,3220,4589) (-124/87,-57/40) -> (67/20,124/37) Hyperbolic Matrix(1611,2294,-1394,-1985) (-47/33,-37/26) -> (-37/32,-15/13) Hyperbolic Matrix(3225,4588,698,993) (-37/26,-64/45) -> (60/13,37/8) Hyperbolic Matrix(13951,19840,9810,13951) (-64/45,-155/109) -> (155/109,64/45) Hyperbolic Matrix(19839,28210,13952,19839) (-155/109,-91/64) -> (91/64,155/109) Hyperbolic Matrix(6323,8990,1918,2727) (-91/64,-27/19) -> (89/27,33/10) Hyperbolic Matrix(7377,10478,2662,3781) (-27/19,-98/69) -> (36/13,97/35) Hyperbolic Matrix(24365,34596,7204,10229) (-71/50,-186/131) -> (186/55,115/34) Hyperbolic Matrix(24367,34596,7206,10231) (-186/131,-115/81) -> (71/21,186/55) Hyperbolic Matrix(2665,3782,742,1053) (-44/31,-61/43) -> (61/17,18/5) Hyperbolic Matrix(1487,2108,874,1239) (-61/43,-17/12) -> (17/10,63/37) Hyperbolic Matrix(745,1054,176,249) (-17/12,-41/29) -> (21/5,17/4) Hyperbolic Matrix(3597,5084,2194,3101) (-41/29,-65/46) -> (59/36,41/25) Hyperbolic Matrix(4959,7006,2018,2851) (-65/46,-89/63) -> (27/11,59/24) Hyperbolic Matrix(1055,1488,748,1055) (-24/17,-31/22) -> (31/22,24/17) Hyperbolic Matrix(309,434,220,309) (-31/22,-7/5) -> (7/5,31/22) Hyperbolic Matrix(311,434,134,187) (-7/5,-32/23) -> (30/13,7/3) Hyperbolic Matrix(1427,1984,848,1179) (-32/23,-57/41) -> (5/3,32/19) Hyperbolic Matrix(4773,6634,-4060,-5643) (-57/41,-82/59) -> (-20/17,-67/57) Hyperbolic Matrix(2233,3100,358,497) (-25/18,-93/67) -> (31/5,25/4) Hyperbolic Matrix(1921,2666,312,433) (-93/67,-68/49) -> (6/1,31/5) Hyperbolic Matrix(15873,22010,-11714,-16243) (-104/75,-165/119) -> (-145/107,-42/31) Hyperbolic Matrix(2729,3782,806,1117) (-61/44,-18/13) -> (44/13,61/18) Hyperbolic Matrix(1613,2232,628,869) (-18/13,-65/47) -> (59/23,18/7) Hyperbolic Matrix(5829,8060,2422,3349) (-65/47,-112/81) -> (12/5,65/27) Hyperbolic Matrix(6323,8742,-5382,-7441) (-112/81,-47/34) -> (-47/40,-74/63) Hyperbolic Matrix(11843,16368,6954,9611) (-47/34,-123/89) -> (63/37,109/64) Hyperbolic Matrix(7627,10540,5878,8123) (-123/89,-76/55) -> (48/37,61/47) Hyperbolic Matrix(1303,1798,1124,1551) (-69/50,-40/29) -> (22/19,7/6) Hyperbolic Matrix(2789,3844,764,1053) (-51/37,-62/45) -> (62/17,11/3) Hyperbolic Matrix(2791,3844,766,1055) (-62/45,-11/8) -> (51/14,62/17) Hyperbolic Matrix(9053,12400,5342,7317) (-100/73,-63/46) -> (61/36,100/59) Hyperbolic Matrix(12089,16554,7470,10229) (-63/46,-89/65) -> (89/55,123/76) Hyperbolic Matrix(3533,4836,1494,2045) (-89/65,-26/19) -> (26/11,97/41) Hyperbolic Matrix(2357,3224,454,621) (-26/19,-93/68) -> (31/6,26/5) Hyperbolic Matrix(1859,2542,362,495) (-93/68,-67/49) -> (5/1,31/6) Hyperbolic Matrix(4401,6014,1678,2293) (-41/30,-97/71) -> (97/37,21/8) Hyperbolic Matrix(7625,10416,2314,3161) (-97/71,-56/41) -> (56/17,89/27) Hyperbolic Matrix(70369,96100,18840,25729) (-183/134,-310/227) -> (310/83,127/34) Hyperbolic Matrix(70371,96100,18842,25731) (-310/227,-127/93) -> (183/49,310/83) Hyperbolic Matrix(2543,3472,1136,1551) (-71/52,-15/11) -> (47/21,9/4) Hyperbolic Matrix(1549,2108,956,1301) (-15/11,-34/25) -> (34/21,47/29) Hyperbolic Matrix(45383,61504,11894,16119) (-103/76,-248/183) -> (248/65,145/38) Hyperbolic Matrix(45385,61504,11896,16121) (-248/183,-145/107) -> (103/27,248/65) Hyperbolic Matrix(1053,1426,686,929) (-42/31,-23/17) -> (23/15,20/13) Hyperbolic Matrix(2293,3100,412,557) (-23/17,-50/37) -> (50/9,39/7) Hyperbolic Matrix(1241,1674,920,1241) (-27/20,-31/23) -> (31/23,27/20) Hyperbolic Matrix(185,248,138,185) (-31/23,-4/3) -> (4/3,31/23) Hyperbolic Matrix(1365,1798,848,1117) (-4/3,-25/19) -> (37/23,66/41) Hyperbolic Matrix(805,1054,236,309) (-21/16,-17/13) -> (17/5,41/12) Hyperbolic Matrix(807,1054,428,559) (-17/13,-47/36) -> (15/8,17/9) Hyperbolic Matrix(11779,15376,2754,3595) (-47/36,-124/95) -> (124/29,77/18) Hyperbolic Matrix(11781,15376,2756,3597) (-124/95,-77/59) -> (47/11,124/29) Hyperbolic Matrix(1427,1860,524,683) (-30/23,-13/10) -> (49/18,30/11) Hyperbolic Matrix(5827,7564,1050,1363) (-74/57,-61/47) -> (61/11,50/9) Hyperbolic Matrix(2915,3782,622,807) (-61/47,-48/37) -> (14/3,61/13) Hyperbolic Matrix(7315,9486,5354,6943) (-83/64,-35/27) -> (97/71,41/30) Hyperbolic Matrix(1053,1364,430,557) (-35/27,-22/17) -> (22/9,27/11) Hyperbolic Matrix(1055,1364,816,1055) (-22/17,-31/24) -> (31/24,22/17) Hyperbolic Matrix(433,558,336,433) (-31/24,-9/7) -> (9/7,31/24) Hyperbolic Matrix(2419,3100,920,1179) (-9/7,-41/32) -> (21/8,71/27) Hyperbolic Matrix(1115,1426,484,619) (-32/25,-23/18) -> (23/10,30/13) Hyperbolic Matrix(2233,2852,1360,1737) (-23/18,-60/47) -> (64/39,23/14) Hyperbolic Matrix(3595,4588,1068,1363) (-60/47,-37/29) -> (37/11,64/19) Hyperbolic Matrix(2975,3782,682,867) (-14/11,-61/48) -> (61/14,48/11) Hyperbolic Matrix(7563,9610,3122,3967) (-61/48,-47/37) -> (109/45,63/26) Hyperbolic Matrix(929,1178,-832,-1055) (-52/41,-19/15) -> (-19/17,-10/9) Hyperbolic Matrix(3037,3844,636,805) (-19/15,-62/49) -> (62/13,43/9) Hyperbolic Matrix(3039,3844,638,807) (-62/49,-43/34) -> (19/4,62/13) Hyperbolic Matrix(1425,1798,638,805) (-24/19,-29/23) -> (29/13,38/17) Hyperbolic Matrix(247,310,98,123) (-29/23,-5/4) -> (5/2,33/13) Hyperbolic Matrix(2047,2542,550,683) (-5/4,-31/25) -> (93/25,67/18) Hyperbolic Matrix(2603,3224,700,867) (-31/25,-26/21) -> (26/7,93/25) Hyperbolic Matrix(805,992,452,557) (-21/17,-16/13) -> (16/9,41/23) Hyperbolic Matrix(1363,1674,504,619) (-16/13,-27/22) -> (27/10,46/17) Hyperbolic Matrix(2729,3348,1618,1985) (-27/22,-65/53) -> (59/35,27/16) Hyperbolic Matrix(6201,7564,1424,1737) (-61/50,-50/41) -> (74/17,61/14) Hyperbolic Matrix(2543,3100,662,807) (-50/41,-39/32) -> (23/6,50/13) Hyperbolic Matrix(3161,3844,560,681) (-45/37,-62/51) -> (62/11,17/3) Hyperbolic Matrix(3163,3844,562,683) (-62/51,-17/14) -> (45/8,62/11) Hyperbolic Matrix(869,1054,512,621) (-17/14,-23/19) -> (39/23,17/10) Hyperbolic Matrix(3287,3968,2312,2791) (-29/24,-35/29) -> (27/19,91/64) Hyperbolic Matrix(2109,2542,1544,1861) (-35/29,-6/5) -> (56/41,97/71) Hyperbolic Matrix(2233,2666,624,745) (-6/5,-31/26) -> (93/26,68/19) Hyperbolic Matrix(2603,3100,728,867) (-31/26,-25/21) -> (25/7,93/26) Hyperbolic Matrix(993,1178,628,745) (-19/16,-13/11) -> (49/31,19/12) Hyperbolic Matrix(1799,2108,1112,1303) (-27/23,-7/6) -> (55/34,89/55) Hyperbolic Matrix(373,434,214,249) (-7/6,-22/19) -> (40/23,7/4) Hyperbolic Matrix(1179,1364,376,435) (-22/19,-37/32) -> (25/8,22/7) Hyperbolic Matrix(2045,2356,914,1053) (-15/13,-38/33) -> (38/17,47/21) Hyperbolic Matrix(3287,3782,1348,1551) (-38/33,-23/20) -> (39/16,100/41) Hyperbolic Matrix(1241,1426,1080,1241) (-23/20,-31/27) -> (31/27,23/20) Hyperbolic Matrix(433,496,378,433) (-31/27,-8/7) -> (8/7,31/27) Hyperbolic Matrix(435,496,164,187) (-8/7,-17/15) -> (45/17,8/3) Hyperbolic Matrix(1425,1612,602,681) (-17/15,-9/8) -> (71/30,45/19) Hyperbolic Matrix(743,806,342,371) (-12/11,-1/1) -> (63/29,50/23) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(619,-682,226,-249) (1/1,10/9) -> (52/19,63/23) Hyperbolic Matrix(1053,-1178,278,-311) (10/9,9/8) -> (53/14,72/19) Hyperbolic Matrix(1985,-2294,1394,-1611) (15/13,22/19) -> (84/59,47/33) Hyperbolic Matrix(2851,-3348,740,-869) (27/23,47/40) -> (77/20,27/7) Hyperbolic Matrix(4959,-5828,1478,-1737) (47/40,20/17) -> (104/31,47/14) Hyperbolic Matrix(1053,-1240,580,-683) (20/17,13/11) -> (49/27,20/11) Hyperbolic Matrix(1303,-1550,364,-433) (19/16,6/5) -> (68/19,43/12) Hyperbolic Matrix(1179,-1426,358,-433) (6/5,23/19) -> (23/7,56/17) Hyperbolic Matrix(1427,-1736,254,-309) (17/14,28/23) -> (28/5,45/8) Hyperbolic Matrix(1425,-1736,866,-1055) (28/23,11/9) -> (51/31,28/17) Hyperbolic Matrix(557,-682,254,-311) (11/9,27/22) -> (35/16,11/5) Hyperbolic Matrix(1303,-1612,350,-433) (21/17,5/4) -> (67/18,41/11) Hyperbolic Matrix(1177,-1488,246,-311) (24/19,19/15) -> (43/9,24/5) Hyperbolic Matrix(1613,-2046,488,-619) (19/15,33/26) -> (33/10,43/13) Hyperbolic Matrix(2295,-2914,634,-805) (33/26,14/11) -> (76/21,29/8) Hyperbolic Matrix(681,-868,244,-311) (14/11,23/18) -> (39/14,14/5) Hyperbolic Matrix(1985,-2542,1258,-1611) (32/25,9/7) -> (71/45,30/19) Hyperbolic Matrix(5641,-7316,2152,-2791) (35/27,48/37) -> (76/29,97/37) Hyperbolic Matrix(1241,-1612,572,-743) (61/47,13/10) -> (13/6,63/29) Hyperbolic Matrix(2851,-3720,666,-869) (30/23,47/36) -> (77/18,30/7) Hyperbolic Matrix(1179,-1550,518,-681) (21/16,4/3) -> (66/29,41/18) Hyperbolic Matrix(2479,-3348,368,-497) (27/20,50/37) -> (74/11,27/4) Hyperbolic Matrix(2789,-3782,778,-1055) (42/31,19/14) -> (43/12,104/29) Hyperbolic Matrix(1551,-2108,866,-1177) (19/14,34/25) -> (34/19,43/24) Hyperbolic Matrix(8309,-11346,3450,-4711) (71/52,56/41) -> (118/49,53/22) Hyperbolic Matrix(1179,-1612,226,-309) (41/30,26/19) -> (26/5,21/4) Hyperbolic Matrix(497,-682,180,-247) (26/19,11/8) -> (11/4,36/13) Hyperbolic Matrix(1799,-2480,494,-681) (11/8,40/29) -> (40/11,51/14) Hyperbolic Matrix(1797,-2480,1034,-1427) (40/29,29/21) -> (33/19,40/23) Hyperbolic Matrix(2109,-2914,448,-619) (29/21,47/34) -> (47/10,33/7) Hyperbolic Matrix(7937,-10974,2062,-2851) (47/34,112/81) -> (50/13,77/20) Hyperbolic Matrix(2727,-3782,716,-993) (61/44,43/31) -> (19/5,61/16) Hyperbolic Matrix(1117,-1550,178,-247) (43/31,25/18) -> (25/4,19/3) Hyperbolic Matrix(2543,-3534,1650,-2293) (25/18,57/41) -> (57/37,37/24) Hyperbolic Matrix(2853,-4030,526,-743) (24/17,65/46) -> (65/12,38/7) Hyperbolic Matrix(5765,-8184,1704,-2419) (44/31,71/50) -> (115/34,44/13) Hyperbolic Matrix(6199,-8804,2620,-3721) (71/50,27/19) -> (97/41,71/30) Hyperbolic Matrix(4091,-5828,610,-869) (47/33,57/40) -> (67/10,47/7) Hyperbolic Matrix(869,-1240,260,-371) (57/40,10/7) -> (10/3,67/20) Hyperbolic Matrix(1427,-2046,302,-433) (10/7,33/23) -> (33/7,52/11) Hyperbolic Matrix(993,-1426,172,-247) (33/23,23/16) -> (23/4,29/5) Hyperbolic Matrix(1549,-2232,474,-683) (36/25,13/9) -> (49/15,36/11) Hyperbolic Matrix(1241,-1798,684,-991) (13/9,29/20) -> (29/16,49/27) Hyperbolic Matrix(1053,-1550,464,-683) (22/15,3/2) -> (59/26,84/37) Hyperbolic Matrix(4589,-7068,1368,-2107) (20/13,57/37) -> (57/17,104/31) Hyperbolic Matrix(557,-868,120,-187) (14/9,25/16) -> (37/8,14/3) Hyperbolic Matrix(435,-682,118,-185) (25/16,11/7) -> (11/3,37/10) Hyperbolic Matrix(433,-682,40,-63) (11/7,52/33) -> (10/1,11/1) Hyperbolic Matrix(311,-496,116,-185) (27/17,8/5) -> (8/3,35/13) Hyperbolic Matrix(5083,-8184,1926,-3101) (66/41,29/18) -> (95/36,66/25) Hyperbolic Matrix(1115,-1798,462,-745) (29/18,21/13) -> (41/17,29/12) Hyperbolic Matrix(4525,-7316,1036,-1675) (21/13,76/47) -> (48/11,83/19) Hyperbolic Matrix(8741,-14136,3336,-5395) (76/47,55/34) -> (131/50,76/29) Hyperbolic Matrix(4837,-7936,2040,-3347) (41/25,64/39) -> (64/27,83/35) Hyperbolic Matrix(867,-1426,76,-125) (74/45,51/31) -> (11/1,12/1) Hyperbolic Matrix(3721,-6138,1578,-2603) (61/37,33/20) -> (33/14,125/53) Hyperbolic Matrix(6697,-11346,1756,-2975) (83/49,61/36) -> (61/16,103/27) Hyperbolic Matrix(1053,-1798,400,-683) (29/17,12/7) -> (50/19,29/11) Hyperbolic Matrix(4589,-7936,1792,-3099) (19/11,64/37) -> (64/25,105/41) Hyperbolic Matrix(5083,-8804,1504,-2605) (71/41,26/15) -> (98/29,71/21) Hyperbolic Matrix(3535,-6138,1392,-2417) (92/53,33/19) -> (33/13,94/37) Hyperbolic Matrix(559,-992,244,-433) (23/13,16/9) -> (16/7,39/17) Hyperbolic Matrix(869,-1550,208,-371) (41/23,25/14) -> (25/6,21/5) Hyperbolic Matrix(867,-1550,278,-497) (25/14,59/33) -> (3/1,25/8) Hyperbolic Matrix(311,-558,34,-61) (43/24,9/5) -> (9/1,19/2) Hyperbolic Matrix(371,-682,68,-125) (11/6,24/13) -> (38/7,11/2) Hyperbolic Matrix(2481,-4588,670,-1239) (24/13,37/20) -> (37/10,100/27) Hyperbolic Matrix(3349,-6200,1540,-2851) (37/20,50/27) -> (50/23,87/40) Hyperbolic Matrix(869,-1612,200,-371) (50/27,13/7) -> (13/3,74/17) Hyperbolic Matrix(1737,-3782,626,-1363) (37/17,24/11) -> (86/31,25/9) Hyperbolic Matrix(1363,-2976,398,-869) (24/11,35/16) -> (89/26,24/7) Hyperbolic Matrix(557,-1240,84,-187) (20/9,29/13) -> (33/5,20/3) Hyperbolic Matrix(931,-2108,246,-557) (9/4,34/15) -> (34/9,53/14) Hyperbolic Matrix(1053,-2480,290,-683) (7/3,33/14) -> (29/8,69/19) Hyperbolic Matrix(10479,-25234,2806,-6757) (65/27,118/49) -> (56/15,183/49) Hyperbolic Matrix(6199,-15128,1728,-4217) (61/25,83/34) -> (165/46,61/17) Hyperbolic Matrix(681,-1736,122,-311) (28/11,23/9) -> (39/7,28/5) Hyperbolic Matrix(6695,-17608,1792,-4713) (71/27,121/46) -> (127/34,71/19) Hyperbolic Matrix(931,-2542,204,-557) (30/11,41/15) -> (41/9,32/7) Hyperbolic Matrix(497,-1364,90,-247) (63/23,11/4) -> (11/2,61/11) Hyperbolic Matrix(1241,-3534,348,-991) (37/13,20/7) -> (82/23,25/7) Hyperbolic Matrix(249,-806,38,-123) (29/9,13/4) -> (13/2,33/5) Hyperbolic Matrix(993,-3286,262,-867) (43/13,10/3) -> (72/19,19/5) Hyperbolic Matrix(683,-2294,92,-309) (47/14,37/11) -> (37/5,15/2) Hyperbolic Matrix(1861,-6634,278,-991) (57/16,82/23) -> (20/3,67/10) Hyperbolic Matrix(6137,-22010,1608,-5767) (104/29,165/46) -> (145/38,42/11) Hyperbolic Matrix(2419,-8742,360,-1301) (112/31,47/13) -> (47/7,74/11) Hyperbolic Matrix(249,-1178,26,-123) (52/11,19/4) -> (19/2,10/1) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(63,682,-40,-433) -> Matrix(57,-2,656,-23) Matrix(125,1178,-92,-867) -> Matrix(111,-4,916,-33) Matrix(187,1612,108,931) -> Matrix(175,-6,8196,-281) Matrix(61,496,38,309) -> Matrix(55,-2,2668,-97) Matrix(63,496,8,63) -> Matrix(55,-2,1788,-65) Matrix(185,1426,24,185) -> Matrix(161,-6,5340,-199) Matrix(495,3782,292,2231) -> Matrix(107,-4,5056,-189) Matrix(311,2356,172,1303) -> Matrix(51,-2,2372,-93) Matrix(309,2294,-92,-683) -> Matrix(53,-2,1140,-43) Matrix(247,1798,68,495) -> Matrix(1,0,8,1) Matrix(309,2108,118,805) -> Matrix(63,-2,2552,-81) Matrix(497,3348,-368,-2479) -> Matrix(447,-16,3604,-129) Matrix(869,5828,-610,-4091) -> Matrix(221,-8,2072,-75) Matrix(187,1240,-84,-557) -> Matrix(161,-6,2764,-103) Matrix(185,1178,68,433) -> Matrix(53,-2,2200,-83) Matrix(247,1550,-178,-1117) -> Matrix(211,-8,1820,-69) Matrix(247,1426,-172,-993) -> Matrix(99,-4,916,-37) Matrix(185,1054,76,433) -> Matrix(45,-2,1868,-83) Matrix(309,1736,-254,-1427) -> Matrix(69,-2,380,-11) Matrix(311,1736,-122,-681) -> Matrix(59,-2,1092,-37) Matrix(125,682,-68,-371) -> Matrix(103,-4,1468,-57) Matrix(311,1674,196,1055) -> Matrix(55,-2,2668,-97) Matrix(187,992,82,435) -> Matrix(51,-2,2168,-85) Matrix(309,1612,-226,-1179) -> Matrix(253,-10,2100,-83) Matrix(63,310,38,187) -> Matrix(49,-2,2328,-95) Matrix(373,1798,206,993) -> Matrix(87,-4,4024,-185) Matrix(311,1488,-246,-1177) -> Matrix(35,-2,228,-13) Matrix(433,2046,-302,-1427) -> Matrix(53,-2,504,-19) Matrix(619,2914,-448,-2109) -> Matrix(211,-8,1820,-69) Matrix(187,868,-120,-557) -> Matrix(149,-6,1664,-67) Matrix(311,1426,176,807) -> Matrix(51,-2,2372,-93) Matrix(557,2542,-204,-931) -> Matrix(51,-2,944,-37) Matrix(125,558,28,125) -> Matrix(97,-4,3468,-143) Matrix(309,1364,70,309) -> Matrix(239,-10,8628,-361) Matrix(311,1364,184,807) -> Matrix(47,-2,2280,-97) Matrix(1675,7316,-1036,-4525) -> Matrix(801,-34,9400,-399) Matrix(2417,10540,668,2913) -> Matrix(47,-2,1716,-73) Matrix(371,1612,-200,-869) -> Matrix(93,-4,1372,-59) Matrix(433,1860,274,1177) -> Matrix(47,-2,2280,-97) Matrix(869,3720,-666,-2851) -> Matrix(91,-4,660,-29) Matrix(247,1054,116,495) -> Matrix(1,0,20,1) Matrix(249,1054,176,745) -> Matrix(185,-8,9412,-407) Matrix(371,1550,-208,-869) -> Matrix(1,0,-8,1) Matrix(63,248,16,63) -> Matrix(47,-2,1716,-73) Matrix(433,1674,112,433) -> Matrix(321,-14,11900,-519) Matrix(869,3348,-740,-2851) -> Matrix(639,-28,2944,-129) Matrix(743,2852,452,1735) -> Matrix(363,-16,17356,-765) Matrix(373,1426,130,497) -> Matrix(91,-4,3572,-157) Matrix(993,3782,-716,-2727) -> Matrix(179,-8,1544,-69) Matrix(557,2108,-246,-931) -> Matrix(133,-6,2372,-107) Matrix(559,2108,214,807) -> Matrix(47,-2,1904,-81) Matrix(929,3472,514,1921) -> Matrix(43,-2,2000,-93) Matrix(3037,11346,-1776,-6635) -> Matrix(47,-2,588,-25) Matrix(681,2542,116,433) -> Matrix(45,-2,1508,-67) Matrix(2543,9486,582,2171) -> Matrix(401,-18,14592,-655) Matrix(433,1612,-350,-1303) -> Matrix(309,-14,1832,-83) Matrix(185,682,-118,-435) -> Matrix(41,-2,472,-23) Matrix(681,2480,-494,-1799) -> Matrix(63,-2,536,-17) Matrix(683,2480,-290,-1053) -> Matrix(53,-2,928,-35) Matrix(805,2914,-634,-2295) -> Matrix(51,-2,332,-13) Matrix(3037,10974,-2248,-8123) -> Matrix(335,-14,2704,-113) Matrix(4651,16802,1768,6387) -> Matrix(47,-2,1904,-81) Matrix(619,2232,378,1363) -> Matrix(193,-8,9240,-383) Matrix(1053,3782,742,2665) -> Matrix(515,-22,26148,-1117) Matrix(1055,3782,-778,-2789) -> Matrix(603,-26,4940,-213) Matrix(433,1550,-364,-1303) -> Matrix(323,-14,1592,-69) Matrix(991,3534,-348,-1241) -> Matrix(181,-8,3688,-163) Matrix(557,1984,226,805) -> Matrix(45,-2,1868,-83) Matrix(123,434,70,247) -> Matrix(1,0,24,1) Matrix(125,434,36,125) -> Matrix(89,-4,3360,-151) Matrix(433,1488,126,433) -> Matrix(307,-14,11688,-533) Matrix(1177,4030,-960,-3287) -> Matrix(43,-2,280,-13) Matrix(1487,5084,580,1983) -> Matrix(523,-24,21552,-989) Matrix(309,1054,236,805) -> Matrix(217,-10,11436,-527) Matrix(621,2108,256,869) -> Matrix(1,0,20,1) Matrix(1117,3782,806,2729) -> Matrix(173,-8,8888,-411) Matrix(2419,8184,-1704,-5765) -> Matrix(991,-46,9156,-425) Matrix(2605,8804,-1504,-5083) -> Matrix(1115,-52,14688,-685) Matrix(1177,3968,202,681) -> Matrix(127,-6,4424,-209) Matrix(8371,28210,2484,8371) -> Matrix(463,-22,18036,-857) Matrix(5889,19840,1748,5889) -> Matrix(209,-10,8172,-391) Matrix(1179,3968,424,1427) -> Matrix(39,-2,1580,-81) Matrix(1549,5208,682,2293) -> Matrix(45,-2,1868,-83) Matrix(1737,5828,-1478,-4959) -> Matrix(85,-4,404,-19) Matrix(371,1240,-260,-869) -> Matrix(1,0,-12,1) Matrix(619,2046,-488,-1613) -> Matrix(163,-8,1080,-53) Matrix(433,1426,-358,-1179) -> Matrix(37,-2,204,-11) Matrix(435,1426,284,931) -> Matrix(37,-2,1832,-99) Matrix(1117,3658,644,2109) -> Matrix(77,-4,3600,-187) Matrix(683,2232,-474,-1549) -> Matrix(29,-2,276,-19) Matrix(557,1798,-250,-807) -> Matrix(137,-6,2352,-103) Matrix(559,1798,328,1055) -> Matrix(223,-10,10548,-473) Matrix(371,1178,234,743) -> Matrix(85,-4,4144,-195) Matrix(745,2356,314,993) -> Matrix(175,-8,7372,-337) Matrix(867,2728,512,1611) -> Matrix(171,-8,8144,-381) Matrix(497,1550,-278,-867) -> Matrix(85,-4,1084,-51) Matrix(495,1426,344,991) -> Matrix(163,-8,8252,-405) Matrix(497,1426,130,373) -> Matrix(83,-4,3092,-149) Matrix(2479,7068,-1740,-4961) -> Matrix(83,-4,768,-37) Matrix(807,2294,502,1427) -> Matrix(41,-2,1948,-95) Matrix(373,1054,132,373) -> Matrix(241,-12,9620,-479) Matrix(309,868,110,309) -> Matrix(199,-10,7980,-401) Matrix(311,868,-244,-681) -> Matrix(197,-10,1320,-67) Matrix(247,682,-180,-497) -> Matrix(79,-4,652,-33) Matrix(249,682,-226,-619) -> Matrix(153,-8,440,-23) Matrix(3535,9672,1292,3535) -> Matrix(647,-34,26508,-1393) Matrix(2789,7626,1020,2789) -> Matrix(417,-22,17116,-903) Matrix(1861,5084,772,2109) -> Matrix(301,-16,12548,-667) Matrix(683,1860,524,1427) -> Matrix(39,-2,2048,-105) Matrix(433,1178,68,185) -> Matrix(37,-2,1240,-67) Matrix(435,1178,298,807) -> Matrix(35,-2,1768,-101) Matrix(619,1674,504,1363) -> Matrix(71,-4,3852,-217) Matrix(185,496,-116,-311) -> Matrix(41,-2,472,-23) Matrix(187,496,164,435) -> Matrix(119,-6,6684,-337) Matrix(867,2294,562,1487) -> Matrix(393,-20,19316,-983) Matrix(681,1798,164,433) -> Matrix(39,-2,1580,-81) Matrix(3101,8184,-1926,-5083) -> Matrix(625,-32,7168,-367) Matrix(683,1798,-400,-1053) -> Matrix(115,-6,1476,-77) Matrix(2791,7316,-2152,-5641) -> Matrix(511,-26,3636,-185) Matrix(5395,14136,-3336,-8741) -> Matrix(1289,-66,15136,-775) Matrix(805,2108,118,309) -> Matrix(39,-2,1112,-57) Matrix(6325,16554,1706,4465) -> Matrix(1087,-56,41636,-2145) Matrix(2109,5518,1280,3349) -> Matrix(853,-44,40692,-2099) Matrix(807,2108,214,559) -> Matrix(39,-2,1424,-73) Matrix(309,806,166,433) -> Matrix(39,-2,1736,-89) Matrix(311,806,120,311) -> Matrix(191,-10,7812,-409) Matrix(433,1116,168,433) -> Matrix(265,-14,10884,-575) Matrix(869,2232,628,1613) -> Matrix(151,-8,7720,-409) Matrix(1983,5084,580,1487) -> Matrix(451,-24,17232,-917) Matrix(3099,7936,-1792,-4589) -> Matrix(973,-52,12780,-683) Matrix(1115,2852,242,619) -> Matrix(75,-4,2644,-141) Matrix(1117,2852,826,2109) -> Matrix(523,-28,27140,-1453) Matrix(559,1426,-510,-1301) -> Matrix(335,-18,912,-49) Matrix(2169,5518,1340,3409) -> Matrix(261,-14,12584,-675) Matrix(2417,6138,-1392,-3535) -> Matrix(113,-6,1488,-79) Matrix(123,310,98,247) -> Matrix(73,-4,3924,-215) Matrix(805,1984,226,557) -> Matrix(37,-2,1388,-75) Matrix(2975,7316,1714,4215) -> Matrix(77,-4,3600,-187) Matrix(1363,3348,252,619) -> Matrix(1,0,16,1) Matrix(557,1364,430,1053) -> Matrix(191,-10,10104,-529) Matrix(1117,2728,762,1861) -> Matrix(451,-24,22644,-1205) Matrix(4649,11346,-3430,-8371) -> Matrix(2061,-110,16844,-899) Matrix(5083,12400,1372,3347) -> Matrix(823,-44,31592,-1689) Matrix(1551,3782,1348,3287) -> Matrix(859,-46,48048,-2573) Matrix(433,1054,76,185) -> Matrix(37,-2,1388,-75) Matrix(869,2108,256,621) -> Matrix(1,0,20,1) Matrix(6757,16368,1868,4525) -> Matrix(37,-2,1240,-67) Matrix(13951,33790,5760,13951) -> Matrix(551,-30,22940,-1249) Matrix(5889,14260,2432,5889) -> Matrix(109,-6,4560,-251) Matrix(743,1798,512,1239) -> Matrix(1,0,32,1) Matrix(745,1798,-462,-1115) -> Matrix(221,-12,2560,-139) Matrix(311,744,130,311) -> Matrix(181,-10,7584,-419) Matrix(495,1178,208,495) -> Matrix(287,-16,12072,-673) Matrix(3347,7936,-2040,-4837) -> Matrix(1069,-60,13024,-731) Matrix(497,1178,262,621) -> Matrix(71,-4,3284,-185) Matrix(681,1612,602,1425) -> Matrix(391,-22,22056,-1241) Matrix(3721,8804,-2620,-6199) -> Matrix(709,-40,6576,-371) Matrix(1549,3658,1076,2541) -> Matrix(461,-26,23316,-1315) Matrix(3101,7316,1840,4341) -> Matrix(283,-16,13248,-749) Matrix(2603,6138,-1578,-3721) -> Matrix(847,-48,10464,-593) Matrix(185,434,26,61) -> Matrix(35,-2,1208,-69) Matrix(187,434,134,311) -> Matrix(33,-2,1700,-103) Matrix(619,1426,484,1115) -> Matrix(67,-4,3568,-213) Matrix(433,992,-244,-559) -> Matrix(37,-2,500,-27) Matrix(435,992,82,187) -> Matrix(35,-2,1208,-69) Matrix(681,1550,-518,-1179) -> Matrix(33,-2,248,-15) Matrix(683,1550,-464,-1053) -> Matrix(181,-10,1792,-99) Matrix(4837,10974,2132,4837) -> Matrix(433,-24,18168,-1007) Matrix(2789,6324,1230,2789) -> Matrix(323,-18,13584,-757) Matrix(247,558,-220,-497) -> Matrix(141,-8,476,-27) Matrix(1551,3472,1136,2543) -> Matrix(243,-14,12584,-725) Matrix(1053,2356,914,2045) -> Matrix(451,-26,25204,-1453) Matrix(805,1798,638,1425) -> Matrix(241,-14,12928,-751) Matrix(559,1240,252,559) -> Matrix(307,-18,13184,-773) Matrix(309,682,140,309) -> Matrix(169,-10,7284,-431) Matrix(311,682,-254,-557) -> Matrix(167,-10,952,-57) Matrix(2107,4588,-1538,-3349) -> Matrix(265,-16,2236,-135) Matrix(2851,6200,-1540,-3349) -> Matrix(659,-40,9572,-581) Matrix(743,1612,-572,-1241) -> Matrix(261,-16,1876,-115) Matrix(373,806,230,497) -> Matrix(63,-4,3040,-193) Matrix(495,1054,116,247) -> Matrix(1,0,20,1) Matrix(557,1178,322,681) -> Matrix(103,-6,4824,-281) Matrix(621,1178,262,497) -> Matrix(55,-4,2324,-169) Matrix(559,1054,428,807) -> Matrix(31,-2,1628,-105) Matrix(433,806,166,309) -> Matrix(31,-2,1256,-81) Matrix(435,806,34,63) -> Matrix(29,-2,972,-67) Matrix(8307,15376,3818,7067) -> Matrix(1451,-100,63104,-4349) Matrix(8309,15376,3820,7069) -> Matrix(1565,-108,68092,-4699) Matrix(2045,3782,-1308,-2419) -> Matrix(607,-42,6836,-473) Matrix(1613,2976,-1142,-2107) -> Matrix(573,-40,5200,-363) Matrix(373,682,204,373) -> Matrix(169,-12,7760,-551) Matrix(681,1240,374,681) -> Matrix(307,-22,14136,-1013) Matrix(683,1240,-580,-1053) -> Matrix(305,-22,1428,-103) Matrix(993,1798,206,373) -> Matrix(55,-4,2104,-153) Matrix(1303,2356,172,311) -> Matrix(27,-2,932,-69) Matrix(1921,3472,514,929) -> Matrix(27,-2,1040,-77) Matrix(1177,2108,-866,-1551) -> Matrix(133,-10,1104,-83) Matrix(3535,6324,1976,3535) -> Matrix(131,-10,6144,-469) Matrix(6137,10974,3432,6137) -> Matrix(129,-10,6076,-471) Matrix(2915,5208,2048,3659) -> Matrix(27,-2,1364,-101) Matrix(2293,4092,868,1549) -> Matrix(23,-2,932,-81) Matrix(557,992,452,805) -> Matrix(83,-6,4496,-325) Matrix(2169,3844,944,1673) -> Matrix(27,-2,1256,-93) Matrix(2171,3844,946,1675) -> Matrix(27,-2,1040,-77) Matrix(807,1426,176,311) -> Matrix(27,-2,932,-69) Matrix(247,434,70,123) -> Matrix(1,0,24,1) Matrix(1427,2480,-1034,-1797) -> Matrix(291,-22,2500,-189) Matrix(18785,32612,7392,12833) -> Matrix(185,-14,7704,-583) Matrix(19965,34658,7858,13641) -> Matrix(53,-4,2160,-163) Matrix(4215,7316,1714,2975) -> Matrix(53,-4,2160,-163) Matrix(2109,3658,644,1117) -> Matrix(53,-4,2160,-163) Matrix(2791,4836,752,1303) -> Matrix(343,-26,13100,-993) Matrix(931,1612,108,187) -> Matrix(79,-6,2436,-185) Matrix(681,1178,322,557) -> Matrix(79,-6,3384,-257) Matrix(1363,2356,932,1611) -> Matrix(367,-28,18468,-1409) Matrix(683,1178,396,683) -> Matrix(287,-22,13476,-1033) Matrix(433,744,252,433) -> Matrix(181,-14,8520,-659) Matrix(4711,8060,1304,2231) -> Matrix(51,-4,1900,-149) Matrix(14755,25234,-10804,-18477) -> Matrix(509,-40,4212,-331) Matrix(2975,5084,1886,3223) -> Matrix(51,-4,2512,-197) Matrix(1055,1798,328,559) -> Matrix(127,-10,4788,-377) Matrix(8371,14260,4914,8371) -> Matrix(1901,-150,89968,-7099) Matrix(19839,33790,11648,19839) -> Matrix(4711,-372,223000,-17609) Matrix(5643,9610,1202,2047) -> Matrix(481,-38,16392,-1295) Matrix(1239,2108,874,1487) -> Matrix(353,-28,17940,-1423) Matrix(621,1054,512,869) -> Matrix(99,-8,5408,-437) Matrix(2231,3782,292,495) -> Matrix(51,-4,1696,-133) Matrix(6695,11346,2414,4091) -> Matrix(1,0,28,1) Matrix(8929,15128,-6440,-10911) -> Matrix(1,0,-4,1) Matrix(1611,2728,512,867) -> Matrix(99,-8,3824,-309) Matrix(807,1364,184,311) -> Matrix(23,-2,840,-73) Matrix(4155,7006,1214,2047) -> Matrix(83,-6,3168,-229) Matrix(4341,7316,1840,3101) -> Matrix(211,-16,8928,-677) Matrix(1179,1984,848,1427) -> Matrix(77,-6,3940,-307) Matrix(187,310,38,63) -> Matrix(25,-2,888,-71) Matrix(21017,34658,8910,14693) -> Matrix(3331,-270,141000,-11429) Matrix(19779,32612,8386,13827) -> Matrix(3329,-270,140940,-11431) Matrix(3349,5518,1280,2109) -> Matrix(541,-44,21972,-1787) Matrix(1055,1736,-866,-1425) -> Matrix(269,-22,1504,-123) Matrix(2417,3968,868,1425) -> Matrix(25,-2,988,-79) Matrix(3099,5084,982,1611) -> Matrix(341,-28,13092,-1075) Matrix(3101,5084,2194,3597) -> Matrix(923,-76,46988,-3869) Matrix(1363,2232,378,619) -> Matrix(97,-8,3480,-287) Matrix(683,1116,418,683) -> Matrix(265,-22,12708,-1055) Matrix(495,806,304,495) -> Matrix(191,-16,9180,-769) Matrix(497,806,230,373) -> Matrix(47,-4,2080,-177) Matrix(1301,2108,956,1549) -> Matrix(23,-2,1208,-105) Matrix(3409,5518,1340,2169) -> Matrix(165,-14,6824,-579) Matrix(10727,17360,3870,6263) -> Matrix(71,-6,2852,-241) Matrix(1303,2108,1112,1799) -> Matrix(353,-30,19568,-1663) Matrix(21389,34596,8164,13205) -> Matrix(1951,-166,78992,-6721) Matrix(21391,34596,8166,13207) -> Matrix(2185,-186,88516,-7535) Matrix(3721,6014,998,1613) -> Matrix(375,-32,14168,-1209) Matrix(1921,3100,422,681) -> Matrix(163,-14,5740,-493) Matrix(10913,17608,-7992,-12895) -> Matrix(605,-52,4968,-427) Matrix(10415,16802,7532,12151) -> Matrix(511,-44,26212,-2257) Matrix(9547,15376,3618,5827) -> Matrix(783,-68,31700,-2753) Matrix(9549,15376,3620,5829) -> Matrix(689,-60,27916,-2431) Matrix(2543,4092,1118,1799) -> Matrix(23,-2,932,-81) Matrix(1427,2294,502,807) -> Matrix(25,-2,988,-79) Matrix(309,496,38,61) -> Matrix(23,-2,748,-65) Matrix(2417,3844,896,1425) -> Matrix(23,-2,1116,-97) Matrix(2419,3844,898,1427) -> Matrix(23,-2,748,-65) Matrix(1055,1674,196,311) -> Matrix(23,-2,748,-65) Matrix(743,1178,234,371) -> Matrix(45,-4,1744,-155) Matrix(745,1178,628,993) -> Matrix(43,-4,2376,-221) Matrix(1177,1860,274,433) -> Matrix(23,-2,840,-73) Matrix(1611,2542,-1258,-1985) -> Matrix(45,-4,304,-27) Matrix(4837,7626,3068,4837) -> Matrix(1,0,36,1) Matrix(6137,9672,3894,6137) -> Matrix(71,-6,3420,-289) Matrix(867,1364,-710,-1117) -> Matrix(91,-8,512,-45) Matrix(6697,10478,1982,3101) -> Matrix(723,-64,27892,-2469) Matrix(11097,17360,4240,6633) -> Matrix(1513,-134,61412,-5439) Matrix(7255,11346,2974,4651) -> Matrix(1105,-98,45632,-4047) Matrix(2541,3968,1786,2789) -> Matrix(247,-22,12496,-1113) Matrix(2543,3968,994,1551) -> Matrix(23,-2,932,-81) Matrix(559,868,360,559) -> Matrix(199,-18,9740,-881) Matrix(681,1054,440,681) -> Matrix(241,-22,11820,-1079) Matrix(1487,2294,562,867) -> Matrix(217,-20,8756,-807) Matrix(2293,3534,-1650,-2543) -> Matrix(21,-2,200,-19) Matrix(929,1426,686,1053) -> Matrix(235,-22,12188,-1141) Matrix(931,1426,284,435) -> Matrix(21,-2,872,-83) Matrix(929,1364,126,185) -> Matrix(59,-6,2016,-205) Matrix(1861,2728,762,1117) -> Matrix(235,-24,9684,-989) Matrix(3473,5084,1356,1985) -> Matrix(389,-40,16056,-1651) Matrix(807,1178,298,435) -> Matrix(19,-2,808,-85) Matrix(1239,1798,512,743) -> Matrix(1,0,32,1) Matrix(557,806,-472,-683) -> Matrix(97,-10,456,-47) Matrix(2665,3844,816,1177) -> Matrix(19,-2,960,-101) Matrix(2667,3844,818,1179) -> Matrix(19,-2,504,-53) Matrix(2541,3658,1076,1549) -> Matrix(245,-26,10356,-1099) Matrix(991,1426,344,495) -> Matrix(75,-8,2972,-317) Matrix(7255,10416,1944,2791) -> Matrix(129,-14,4856,-527) Matrix(6263,8990,1858,2667) -> Matrix(91,-10,3540,-389) Matrix(2293,3286,-1688,-2419) -> Matrix(93,-10,772,-83) Matrix(10787,15376,3218,4587) -> Matrix(191,-20,7344,-769) Matrix(10789,15376,3220,4589) -> Matrix(265,-28,10212,-1079) Matrix(1611,2294,-1394,-1985) -> Matrix(149,-16,624,-67) Matrix(3225,4588,698,993) -> Matrix(75,-8,2672,-285) Matrix(13951,19840,9810,13951) -> Matrix(953,-102,48276,-5167) Matrix(19839,28210,13952,19839) -> Matrix(1567,-168,79404,-8513) Matrix(6323,8990,1918,2727) -> Matrix(149,-16,5988,-643) Matrix(7377,10478,2662,3781) -> Matrix(93,-10,3748,-403) Matrix(24365,34596,7204,10229) -> Matrix(1721,-186,66240,-7159) Matrix(24367,34596,7206,10231) -> Matrix(1831,-198,70512,-7625) Matrix(2665,3782,742,1053) -> Matrix(203,-22,7428,-805) Matrix(1487,2108,874,1239) -> Matrix(257,-28,12180,-1327) Matrix(745,1054,176,249) -> Matrix(73,-8,2692,-295) Matrix(3597,5084,2194,3101) -> Matrix(691,-76,33068,-3637) Matrix(4959,7006,2018,2851) -> Matrix(109,-12,4460,-491) Matrix(1055,1488,748,1055) -> Matrix(307,-34,15648,-1733) Matrix(309,434,220,309) -> Matrix(89,-10,4548,-511) Matrix(311,434,134,187) -> Matrix(17,-2,740,-87) Matrix(1427,1984,848,1179) -> Matrix(53,-6,2500,-283) Matrix(4773,6634,-4060,-5643) -> Matrix(157,-18,724,-83) Matrix(2233,3100,358,497) -> Matrix(139,-16,4700,-541) Matrix(1921,2666,312,433) -> Matrix(121,-14,4140,-479) Matrix(15873,22010,-11714,-16243) -> Matrix(785,-92,6408,-751) Matrix(2729,3782,806,1117) -> Matrix(69,-8,2648,-307) Matrix(1613,2232,628,869) -> Matrix(71,-8,2920,-329) Matrix(5829,8060,2422,3349) -> Matrix(139,-16,5812,-669) Matrix(6323,8742,-5382,-7441) -> Matrix(313,-36,1452,-167) Matrix(11843,16368,6954,9611) -> Matrix(1195,-138,56572,-6533) Matrix(7627,10540,5878,8123) -> Matrix(1055,-122,55768,-6449) Matrix(1303,1798,1124,1551) -> Matrix(223,-26,12428,-1449) Matrix(2789,3844,764,1053) -> Matrix(17,-2,876,-103) Matrix(2791,3844,766,1055) -> Matrix(17,-2,400,-47) Matrix(9053,12400,5342,7317) -> Matrix(33,-4,1576,-191) Matrix(12089,16554,7470,10229) -> Matrix(15,-2,728,-97) Matrix(3533,4836,1494,2045) -> Matrix(151,-18,6384,-761) Matrix(2357,3224,454,621) -> Matrix(167,-20,5820,-697) Matrix(1859,2542,362,495) -> Matrix(133,-16,4680,-563) Matrix(4401,6014,1678,2293) -> Matrix(17,-2,672,-79) Matrix(7625,10416,2314,3161) -> Matrix(17,-2,672,-79) Matrix(70369,96100,18840,25729) -> Matrix(611,-74,22896,-2773) Matrix(70371,96100,18842,25731) -> Matrix(709,-86,26604,-3227) Matrix(2543,3472,1136,1551) -> Matrix(115,-14,4904,-597) Matrix(1549,2108,956,1301) -> Matrix(15,-2,728,-97) Matrix(45383,61504,11894,16119) -> Matrix(2875,-352,107788,-13197) Matrix(45385,61504,11896,16121) -> Matrix(2613,-320,98012,-12003) Matrix(1053,1426,686,929) -> Matrix(179,-22,8828,-1085) Matrix(2293,3100,412,557) -> Matrix(81,-10,2584,-319) Matrix(1241,1674,920,1241) -> Matrix(321,-40,16684,-2079) Matrix(185,248,138,185) -> Matrix(47,-6,2452,-313) Matrix(1365,1798,848,1117) -> Matrix(89,-12,4324,-583) Matrix(805,1054,236,309) -> Matrix(73,-10,2796,-383) Matrix(807,1054,428,559) -> Matrix(15,-2,668,-89) Matrix(11779,15376,2754,3595) -> Matrix(29,-4,1124,-155) Matrix(11781,15376,2756,3597) -> Matrix(29,-4,1008,-139) Matrix(1427,1860,524,683) -> Matrix(15,-2,608,-81) Matrix(5827,7564,1050,1363) -> Matrix(229,-32,7464,-1043) Matrix(2915,3782,622,807) -> Matrix(157,-22,5388,-755) Matrix(7315,9486,5354,6943) -> Matrix(313,-44,16212,-2279) Matrix(1053,1364,430,557) -> Matrix(71,-10,2904,-409) Matrix(1055,1364,816,1055) -> Matrix(239,-34,12660,-1801) Matrix(433,558,336,433) -> Matrix(97,-14,5148,-743) Matrix(2419,3100,920,1179) -> Matrix(13,-2,540,-83) Matrix(1115,1426,484,619) -> Matrix(27,-4,1168,-173) Matrix(2233,2852,1360,1737) -> Matrix(107,-16,5116,-765) Matrix(3595,4588,1068,1363) -> Matrix(27,-4,1060,-157) Matrix(2975,3782,682,867) -> Matrix(53,-8,1928,-291) Matrix(7563,9610,3122,3967) -> Matrix(25,-4,1044,-167) Matrix(929,1178,-832,-1055) -> Matrix(145,-22,468,-71) Matrix(3037,3844,636,805) -> Matrix(13,-2,696,-107) Matrix(3039,3844,638,807) -> Matrix(13,-2,228,-35) Matrix(1425,1798,638,805) -> Matrix(89,-14,3808,-599) Matrix(247,310,98,123) -> Matrix(25,-4,1044,-167) Matrix(2047,2542,550,683) -> Matrix(133,-22,5048,-835) Matrix(2603,3224,700,867) -> Matrix(167,-28,6352,-1065) Matrix(805,992,452,557) -> Matrix(35,-6,1616,-277) Matrix(1363,1674,504,619) -> Matrix(23,-4,972,-169) Matrix(2729,3348,1618,1985) -> Matrix(23,-4,1064,-185) Matrix(6201,7564,1424,1737) -> Matrix(67,-12,2440,-437) Matrix(2543,3100,662,807) -> Matrix(79,-14,2940,-521) Matrix(3161,3844,560,681) -> Matrix(11,-2,600,-109) Matrix(3163,3844,562,683) -> Matrix(11,-2,160,-29) Matrix(869,1054,512,621) -> Matrix(43,-8,2048,-381) Matrix(3287,3968,2312,2791) -> Matrix(223,-42,11304,-2129) Matrix(2109,2542,1544,1861) -> Matrix(43,-8,2220,-413) Matrix(2233,2666,624,745) -> Matrix(121,-24,4472,-887) Matrix(2603,3100,728,867) -> Matrix(139,-28,5148,-1037) Matrix(993,1178,628,745) -> Matrix(19,-4,936,-197) Matrix(1799,2108,1112,1303) -> Matrix(137,-30,6608,-1447) Matrix(373,434,214,249) -> Matrix(35,-8,1632,-373) Matrix(1179,1364,376,435) -> Matrix(59,-14,2280,-541) Matrix(2045,2356,914,1053) -> Matrix(107,-26,4564,-1109) Matrix(3287,3782,1348,1551) -> Matrix(187,-46,7728,-1901) Matrix(1241,1426,1080,1241) -> Matrix(161,-40,9012,-2239) Matrix(433,496,378,433) -> Matrix(55,-14,3084,-785) Matrix(435,496,164,187) -> Matrix(23,-6,924,-241) Matrix(1425,1612,602,681) -> Matrix(79,-22,3336,-929) Matrix(743,806,342,371) -> Matrix(29,-12,1264,-523) Matrix(1,0,2,1) -> Matrix(1,0,60,1) Matrix(619,-682,226,-249) -> Matrix(457,-8,18680,-327) Matrix(1053,-1178,278,-311) -> Matrix(567,-10,21376,-377) Matrix(1985,-2294,1394,-1611) -> Matrix(893,-16,45264,-811) Matrix(2851,-3348,740,-869) -> Matrix(1551,-28,57664,-1041) Matrix(4959,-5828,1478,-1737) -> Matrix(221,-4,8564,-155) Matrix(1053,-1240,580,-683) -> Matrix(1217,-22,56148,-1015) Matrix(1303,-1550,364,-433) -> Matrix(771,-14,28472,-517) Matrix(1179,-1426,358,-433) -> Matrix(109,-2,4524,-83) Matrix(1427,-1736,254,-309) -> Matrix(109,-2,2780,-51) Matrix(1425,-1736,866,-1055) -> Matrix(1197,-22,57184,-1051) Matrix(557,-682,254,-311) -> Matrix(543,-10,23512,-433) Matrix(1303,-1612,350,-433) -> Matrix(757,-14,28712,-531) Matrix(1177,-1488,246,-311) -> Matrix(107,-2,4548,-85) Matrix(1613,-2046,488,-619) -> Matrix(427,-8,16920,-317) Matrix(2295,-2914,634,-805) -> Matrix(107,-2,3692,-69) Matrix(681,-868,244,-311) -> Matrix(533,-10,21480,-403) Matrix(1985,-2542,1258,-1611) -> Matrix(213,-4,10384,-195) Matrix(5641,-7316,2152,-2791) -> Matrix(1375,-26,55476,-1049) Matrix(1241,-1612,572,-743) -> Matrix(845,-16,36916,-699) Matrix(2851,-3720,666,-869) -> Matrix(211,-4,7860,-149) Matrix(1179,-1550,518,-681) -> Matrix(105,-2,4568,-87) Matrix(2479,-3348,368,-497) -> Matrix(831,-16,26644,-513) Matrix(2789,-3782,778,-1055) -> Matrix(1347,-26,49580,-957) Matrix(1551,-2108,866,-1177) -> Matrix(517,-10,24144,-467) Matrix(8309,-11346,3450,-4711) -> Matrix(1657,-32,69128,-1335) Matrix(1179,-1612,226,-309) -> Matrix(517,-10,17940,-347) Matrix(497,-682,180,-247) -> Matrix(207,-4,8332,-161) Matrix(1799,-2480,494,-681) -> Matrix(103,-2,2936,-57) Matrix(1797,-2480,1034,-1427) -> Matrix(1131,-22,52900,-1029) Matrix(2109,-2914,448,-619) -> Matrix(411,-8,13820,-269) Matrix(7937,-10974,2062,-2851) -> Matrix(1641,-32,61076,-1191) Matrix(2727,-3782,716,-993) -> Matrix(411,-8,15464,-301) Matrix(1117,-1550,178,-247) -> Matrix(411,-8,13820,-269) Matrix(2543,-3534,1650,-2293) -> Matrix(101,-2,5000,-99) Matrix(2853,-4030,526,-743) -> Matrix(611,-12,21436,-421) Matrix(5765,-8184,1704,-2419) -> Matrix(2335,-46,89796,-1769) Matrix(6199,-8804,2620,-3721) -> Matrix(2029,-40,85776,-1691) Matrix(4091,-5828,610,-869) -> Matrix(405,-8,13112,-259) Matrix(869,-1240,260,-371) -> Matrix(1,0,-12,1) Matrix(1427,-2046,302,-433) -> Matrix(101,-2,3384,-67) Matrix(993,-1426,172,-247) -> Matrix(203,-4,7156,-141) Matrix(1549,-2232,474,-683) -> Matrix(101,-2,4596,-91) Matrix(1241,-1798,684,-991) -> Matrix(199,-4,9204,-185) Matrix(1053,-1550,464,-683) -> Matrix(501,-10,20992,-419) Matrix(4589,-7068,1368,-2107) -> Matrix(787,-16,30152,-613) Matrix(557,-868,120,-187) -> Matrix(293,-6,10304,-211) Matrix(435,-682,118,-185) -> Matrix(97,-2,3832,-79) Matrix(433,-682,40,-63) -> Matrix(97,-2,3056,-63) Matrix(311,-496,116,-185) -> Matrix(97,-2,3832,-79) Matrix(5083,-8184,1926,-3101) -> Matrix(1553,-32,62848,-1295) Matrix(1115,-1798,462,-745) -> Matrix(581,-12,24160,-499) Matrix(4525,-7316,1036,-1675) -> Matrix(1641,-34,59800,-1239) Matrix(8741,-14136,3336,-5395) -> Matrix(3185,-66,128896,-2671) Matrix(4837,-7936,2040,-3347) -> Matrix(2869,-60,121024,-2531) Matrix(867,-1426,76,-125) -> Matrix(191,-4,6160,-129) Matrix(3721,-6138,1578,-2603) -> Matrix(2287,-48,96864,-2033) Matrix(6697,-11346,1756,-2975) -> Matrix(379,-8,14260,-301) Matrix(1053,-1798,400,-683) -> Matrix(283,-6,11556,-245) Matrix(4589,-7936,1792,-3099) -> Matrix(2437,-52,100620,-2147) Matrix(5083,-8804,1504,-2605) -> Matrix(2435,-52,93888,-2005) Matrix(3535,-6138,1392,-2417) -> Matrix(281,-6,11568,-247) Matrix(559,-992,244,-433) -> Matrix(93,-2,3860,-83) Matrix(869,-1550,208,-371) -> Matrix(1,0,-8,1) Matrix(867,-1550,278,-497) -> Matrix(189,-4,7324,-155) Matrix(311,-558,34,-61) -> Matrix(93,-2,3116,-67) Matrix(371,-682,68,-125) -> Matrix(183,-4,6268,-137) Matrix(2481,-4588,670,-1239) -> Matrix(911,-20,35028,-769) Matrix(3349,-6200,1540,-2851) -> Matrix(1819,-40,79172,-1741) Matrix(869,-1612,200,-371) -> Matrix(181,-4,6652,-147) Matrix(1737,-3782,626,-1363) -> Matrix(521,-12,21144,-487) Matrix(1363,-2976,398,-869) -> Matrix(693,-16,26464,-611) Matrix(557,-1240,84,-187) -> Matrix(257,-6,8524,-199) Matrix(931,-2108,246,-557) -> Matrix(253,-6,9572,-227) Matrix(1053,-2480,290,-683) -> Matrix(85,-2,2848,-67) Matrix(10479,-25234,2806,-6757) -> Matrix(1419,-34,53296,-1277) Matrix(6199,-15128,1728,-4217) -> Matrix(2311,-56,84888,-2057) Matrix(681,-1736,122,-311) -> Matrix(83,-2,2532,-61) Matrix(6695,-17608,1792,-4713) -> Matrix(163,-4,6072,-149) Matrix(931,-2542,204,-557) -> Matrix(83,-2,2864,-69) Matrix(497,-1364,90,-247) -> Matrix(163,-4,5420,-133) Matrix(1241,-3534,348,-991) -> Matrix(317,-8,11848,-299) Matrix(249,-806,38,-123) -> Matrix(1,0,-4,1) Matrix(993,-3286,262,-867) -> Matrix(315,-8,11852,-301) Matrix(683,-2294,92,-309) -> Matrix(77,-2,2580,-67) Matrix(1861,-6634,278,-991) -> Matrix(149,-4,4880,-131) Matrix(6137,-22010,1608,-5767) -> Matrix(1985,-54,74364,-2023) Matrix(2419,-8742,360,-1301) -> Matrix(71,-2,2308,-65) Matrix(249,-1178,26,-123) -> Matrix(1,0,0,1) 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): 120 Degree of the the map X: 240 Degree of the the map Y: 480 Imminent integer overflow caused the modular group computation to abort.