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 -1/1 0/1 4/27 7/24 8/23 9/22 1/2 11/20 34/59 12/19 13/18 41/52 14/17 1/1 8/7 67/57 17/14 52/41 35/27 18/13 3/2 94/61 19/12 115/71 39/23 59/34 20/11 2/1 43/19 87/37 131/55 22/9 5/2 67/26 13/5 157/60 45/17 68/25 183/65 23/8 3/1 47/15 16/5 95/29 24/7 7/2 145/41 170/47 11/3 122/33 49/13 19/5 123/32 4/1 25/6 17/4 13/3 22/5 9/2 23/5 51/11 14/3 19/4 24/5 77/16 5/1 26/5 21/4 16/3 27/5 11/2 17/3 23/4 6/1 25/4 19/3 13/2 20/3 27/4 7/1 22/3 15/2 23/3 8/1 17/2 9/1 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 1/58 -9/19 8/439 -8/17 5/273 -7/15 6/325 -20/43 17/917 -13/28 11/592 -6/13 3/161 -17/37 2/107 -11/24 3/160 -5/11 4/211 -14/31 5/263 -23/51 2/105 -9/20 1/52 -13/29 10/523 -4/9 3/155 -19/43 2/103 -15/34 3/154 -26/59 1/51 -11/25 0/1 -18/41 7/361 -7/16 5/256 -17/39 12/611 -10/23 1/51 -13/30 1/50 -3/7 2/101 -20/47 13/649 -17/40 11/548 -14/33 3/149 -11/26 7/346 -41/97 6/295 -30/71 11/541 -19/45 4/195 -8/19 1/49 -29/69 2/101 -21/50 1/50 -34/81 7/349 -13/31 0/1 -31/74 1/50 -18/43 7/349 -5/12 3/148 -17/41 10/489 -12/29 1/49 -31/75 2/97 -50/121 11/533 -19/46 3/146 -26/63 3/145 -33/80 13/632 -40/97 17/825 -7/17 4/193 -23/56 1/48 -16/39 3/143 -25/61 2/93 -9/22 1/50 -11/27 6/293 -2/5 1/47 -13/33 2/95 -11/28 5/236 -9/23 4/187 -16/41 5/233 -7/18 1/46 -33/85 14/645 -26/67 11/505 -19/49 8/365 -12/31 1/45 -17/44 1/40 -5/13 2/95 -23/60 3/140 -18/47 1/47 -13/34 5/234 -47/123 2/93 -34/89 7/325 -21/55 0/1 -8/21 3/139 -11/29 4/183 -25/66 9/410 -14/37 5/227 -31/82 1/46 -17/45 2/91 -3/8 1/44 -13/35 4/183 -10/27 1/47 -17/46 1/46 -7/19 2/91 -11/30 3/134 -26/71 3/133 -15/41 0/1 -19/52 1/44 -4/11 1/45 -13/36 1/36 -9/25 2/95 -14/39 3/137 -33/92 7/316 -19/53 4/179 -5/14 1/46 -16/45 1/45 -11/31 2/89 -6/17 1/43 -13/37 2/85 -20/57 1/37 -27/77 0/1 -7/20 1/44 -1/3 0/1 -6/19 1/43 -23/73 0/1 -40/127 1/29 -17/54 1/50 -11/35 2/89 -5/16 1/44 -9/29 2/85 -13/42 1/42 -4/13 1/41 -15/49 4/169 -26/85 7/293 -11/36 3/124 -7/23 2/79 -17/56 1/28 -10/33 1/51 -3/10 1/42 -14/47 1/43 -11/37 0/1 -19/64 3/128 -8/27 3/127 -5/17 2/83 -17/58 3/122 -12/41 1/41 -7/24 1/40 -9/31 4/165 -2/7 1/43 -11/39 2/83 -9/32 5/208 -16/57 9/373 -7/25 4/165 -5/18 3/122 -13/47 0/1 -21/76 7/284 -50/181 19/769 -29/105 2/81 -8/29 5/201 -19/69 0/1 -11/40 1/40 -14/51 3/121 -3/11 2/79 -13/48 1/32 -10/37 1/47 -7/26 1/42 -11/41 8/331 -15/56 11/452 -19/71 14/573 -23/86 17/694 -4/15 1/41 -13/49 6/245 -22/83 17/691 -9/34 5/202 -14/53 5/203 -5/19 4/161 -6/23 5/199 -7/27 2/79 -1/4 1/40 -5/21 6/229 -4/17 1/37 -15/64 1/44 -11/47 2/81 -7/30 3/118 -10/43 1/39 -13/56 1/40 -3/13 4/155 -20/87 21/809 -17/74 17/654 -14/61 13/499 -11/48 3/116 -8/35 3/115 -21/92 11/424 -34/149 23/885 -13/57 2/77 -5/22 1/38 -7/31 10/381 -2/9 3/113 -7/32 7/260 -12/55 1/37 -5/23 0/1 -13/60 7/260 -21/97 2/73 -8/37 1/37 -11/51 2/73 -14/65 1/35 -3/14 1/38 -10/47 1/35 -17/80 5/196 -7/33 4/153 -11/52 11/416 -15/71 6/227 -4/19 7/263 -5/24 3/112 -6/29 11/409 -7/34 13/482 -1/5 2/73 -4/21 1/37 -3/16 1/36 -5/27 12/433 -2/11 5/179 -5/28 7/248 -8/45 3/107 -3/17 0/1 -10/57 9/323 -7/40 1/36 -11/63 2/73 -4/23 3/107 -9/52 7/248 -5/29 2/71 -1/6 3/106 -3/19 10/347 -2/13 1/35 -7/46 7/242 -5/33 2/69 -8/53 13/449 -3/20 5/172 -1/7 4/137 -2/15 3/101 -3/23 2/67 -1/8 3/100 -2/17 11/365 -3/26 17/562 -1/9 6/197 -1/10 5/162 -1/11 8/257 -1/12 1/32 0/1 1/29 1/9 8/207 1/8 5/128 3/23 4/101 2/15 5/127 1/7 6/151 4/27 1/25 7/47 40/999 3/20 17/424 5/33 8/199 2/13 11/273 3/19 4/99 4/25 1/25 1/6 3/74 5/29 8/195 4/23 5/121 7/40 5/124 3/17 2/49 2/11 3/73 3/16 1/24 1/5 4/95 4/19 1/25 11/52 19/452 7/33 10/237 3/14 5/118 5/23 2/47 2/9 1/23 5/22 5/118 3/13 10/233 7/30 7/162 4/17 13/301 1/4 3/68 7/27 0/1 6/23 1/23 11/42 1/22 5/19 2/45 4/15 3/67 7/26 1/22 3/11 0/1 5/18 7/158 7/25 18/403 2/7 5/111 7/24 1/22 12/41 29/637 5/17 12/263 13/44 17/372 8/27 5/109 11/37 6/131 14/47 33/719 3/10 1/22 7/23 16/345 11/36 19/408 4/13 1/21 9/29 4/83 5/16 1/24 1/3 2/43 8/23 1/21 15/43 28/587 7/20 13/272 13/37 8/167 19/54 7/146 6/17 11/229 11/31 4/83 5/14 3/62 9/25 8/165 4/11 7/143 23/63 4/81 19/52 1/20 15/41 6/121 26/71 3/61 11/30 11/222 7/19 4/79 3/8 1/20 11/29 2/43 8/21 1/21 13/34 7/146 31/81 2/41 18/47 3/61 5/13 0/1 17/44 7/152 12/31 1/21 7/18 7/146 16/41 15/311 9/23 14/289 11/28 15/308 2/5 3/61 9/22 1/20 16/39 23/459 7/17 10/199 19/46 13/258 12/29 17/337 17/41 4/79 5/12 1/20 18/43 25/491 31/74 5/98 13/31 2/39 21/50 11/214 8/19 3/59 27/64 1/20 46/109 3/59 19/45 2/39 11/26 3/58 25/59 2/39 14/33 13/255 17/40 17/332 3/7 4/77 10/23 1/19 7/16 3/56 18/41 1/19 29/66 1/18 11/25 2/35 4/9 1/21 9/20 1/20 14/31 3/61 5/11 6/119 11/24 9/176 6/13 1/19 13/28 9/176 7/15 4/77 1/2 1/18 8/15 1/17 15/28 3/56 22/41 19/353 7/13 2/37 20/37 11/203 13/24 7/128 19/35 8/147 6/11 5/91 11/20 1/18 16/29 13/233 5/9 4/71 9/16 5/88 4/7 1/17 19/33 14/239 34/59 1/17 49/85 36/611 15/26 11/186 41/71 6/101 26/45 11/185 11/19 8/133 29/50 5/82 18/31 3/49 25/43 10/161 32/55 11/175 7/12 1/16 31/53 2/33 55/94 5/82 24/41 3/47 17/29 4/59 27/46 1/14 37/63 2/29 10/17 1/11 3/5 2/37 17/28 3/52 31/51 0/1 14/23 3/53 25/41 0/1 11/18 1/18 8/13 5/89 29/47 2/35 21/34 7/122 55/89 2/35 89/144 17/296 34/55 7/121 47/76 11/188 60/97 1/17 13/21 0/1 44/71 5/89 75/121 14/247 31/50 1/18 18/29 11/193 23/37 2/35 5/8 3/52 12/19 1/17 19/30 11/186 7/11 4/67 30/47 17/283 23/36 1/16 16/25 9/149 25/39 2/33 9/14 5/82 38/59 5/79 29/45 0/1 20/31 1/17 11/17 2/33 24/37 13/209 13/20 1/16 2/3 1/15 13/19 6/109 37/54 1/18 24/35 5/89 11/16 3/52 31/45 2/35 20/29 1/17 9/13 4/67 34/49 13/215 25/36 11/180 66/95 19/309 41/59 6/97 16/23 3/47 39/56 1/16 62/89 1/15 23/33 2/33 7/10 1/18 26/37 11/189 71/101 10/171 45/64 19/324 64/91 1/17 19/27 8/135 31/44 1/16 43/61 2/33 12/17 1/17 5/7 2/33 13/18 1/16 21/29 8/127 8/11 3/47 27/37 2/31 19/26 3/46 49/67 2/33 30/41 7/109 11/15 0/1 36/49 7/107 25/34 3/46 39/53 14/211 14/19 1/15 17/23 2/31 20/27 7/107 3/4 1/16 16/21 5/69 13/17 4/51 23/30 3/34 10/13 1/7 7/9 2/37 25/32 7/120 43/55 12/203 18/23 5/83 11/14 3/50 26/33 7/113 41/52 1/16 56/71 15/239 15/19 4/63 19/24 1/16 4/5 1/17 25/31 2/35 21/26 5/82 38/47 9/143 17/21 0/1 30/37 1/15 13/16 1/16 22/27 1/15 9/11 2/31 14/17 1/15 19/23 4/59 5/6 1/14 11/13 2/27 17/20 1/8 23/27 0/1 6/7 1/15 7/8 1/8 8/9 1/17 9/10 1/14 1/1 0/1 10/9 1/15 9/8 1/12 17/15 2/15 8/7 1/21 15/13 2/31 7/6 1/14 34/29 5/63 61/52 1/12 27/23 0/1 47/40 1/0 67/57 0/1 87/74 1/42 20/17 1/21 13/11 2/31 19/16 1/12 6/5 1/15 17/14 1/14 28/23 5/69 11/9 2/27 16/13 1/13 21/17 0/1 26/21 5/63 31/25 2/23 5/4 1/12 19/15 4/53 52/41 1/13 85/67 18/233 33/26 7/90 47/37 2/25 14/11 3/37 51/40 1/12 37/29 0/1 23/18 5/62 55/43 12/145 32/25 7/83 9/7 2/21 22/17 -1/1 35/27 0/1 48/37 1/45 13/10 1/22 30/23 3/53 17/13 4/65 38/29 7/109 21/16 5/76 4/3 1/13 19/14 1/14 72/53 15/211 125/92 1/14 53/39 14/195 34/25 3/41 15/11 0/1 71/52 19/260 56/41 7/95 41/30 7/94 26/19 3/41 37/27 2/27 48/35 7/95 59/43 8/107 11/8 3/40 18/13 1/13 25/18 7/90 7/5 2/25 38/27 5/63 69/49 12/149 31/22 5/62 55/39 16/195 24/17 3/35 17/12 1/12 61/43 2/25 44/31 1/13 27/19 8/97 91/64 1/12 64/45 19/227 37/26 11/130 47/33 2/23 10/7 1/11 33/23 2/25 56/39 1/13 23/16 3/40 82/57 17/219 59/41 6/77 95/66 19/242 36/25 11/139 49/34 13/162 13/9 4/49 29/20 1/12 45/31 2/23 61/42 1/10 16/11 3/35 35/24 5/56 19/13 6/65 22/15 3/29 25/17 0/1 3/2 1/14 23/15 0/1 20/13 1/13 57/37 16/209 94/61 1/13 37/24 13/168 17/11 2/25 14/9 5/63 53/34 5/62 39/25 2/25 64/41 1/13 25/16 9/112 61/39 10/123 36/23 1/13 83/53 2/25 130/83 23/285 47/30 17/210 11/7 4/49 19/12 1/12 27/17 10/119 8/5 3/35 37/23 2/23 66/41 7/81 29/18 11/126 50/31 1/11 121/75 14/159 71/44 5/56 21/13 0/1 76/47 11/131 55/34 7/82 144/89 17/197 233/144 7/80 89/55 2/23 34/21 7/81 115/71 2/23 196/121 45/517 81/50 19/218 47/29 2/23 60/37 5/57 13/8 5/56 57/35 10/107 44/27 1/9 75/46 1/14 106/65 5/59 31/19 0/1 18/11 1/11 77/47 0/1 59/36 1/12 41/25 0/1 64/39 5/57 23/14 3/34 74/45 1/7 125/76 3/40 51/31 0/1 28/17 3/35 33/20 7/80 5/3 2/21 22/13 1/3 39/23 0/1 56/33 1/33 17/10 1/18 80/47 3/47 63/37 2/29 46/27 1/15 29/17 4/57 41/24 3/40 53/31 2/25 65/38 1/18 12/7 1/13 55/32 11/144 43/25 10/129 31/18 3/38 50/29 5/63 69/40 23/288 88/51 31/387 19/11 8/99 26/15 11/133 59/34 1/12 92/53 39/467 33/19 14/167 40/23 17/201 7/4 1/12 23/13 6/71 85/48 17/200 62/35 11/129 101/57 16/187 39/22 17/198 55/31 12/139 16/9 5/57 57/32 1/12 41/23 2/23 66/37 9/103 25/14 5/58 9/5 4/45 20/11 1/11 31/17 14/153 11/6 5/54 24/13 7/75 13/7 2/21 28/15 3/31 15/8 1/12 17/9 4/41 2/1 1/11 17/8 9/88 32/15 17/165 15/7 4/39 43/20 23/220 28/13 9/85 41/19 2/19 13/6 1/10 11/5 6/55 42/19 15/133 31/14 3/26 20/9 1/9 9/4 1/8 43/19 0/1 77/34 1/22 34/15 1/15 25/11 2/23 66/29 1/11 173/76 17/188 280/123 1/11 107/47 12/131 41/18 1/10 57/25 0/1 16/7 3/31 39/17 2/19 101/44 3/28 62/27 1/11 23/10 1/10 30/13 1/11 7/3 4/39 47/20 21/200 87/37 2/19 127/54 55/522 40/17 17/161 73/31 2/19 33/14 13/122 26/11 3/29 71/30 7/66 45/19 2/19 109/46 3/28 64/27 1/9 19/8 3/28 88/37 9/89 69/29 8/77 50/21 11/105 131/55 2/19 212/89 57/541 81/34 23/218 31/13 2/19 74/31 5/47 117/49 8/75 160/67 75/703 43/18 25/234 55/23 28/261 12/5 1/9 41/17 4/37 29/12 17/156 75/31 8/73 46/19 13/119 63/26 23/210 17/7 10/91 22/9 1/9 27/11 16/143 5/2 3/26 23/9 14/117 64/25 17/141 41/16 15/124 59/23 4/33 18/7 7/57 67/26 1/8 116/45 35/279 49/19 14/111 31/12 1/8 75/29 2/15 119/46 19/142 44/17 7/51 57/22 1/6 13/5 0/1 60/23 7/59 47/18 3/26 175/67 16/135 128/49 7/59 81/31 2/17 34/13 7/57 157/60 1/8 123/47 20/159 89/34 13/102 144/55 3/23 55/21 2/15 21/8 1/8 50/19 1/7 79/30 7/54 108/41 5/37 29/11 2/15 37/14 1/6 45/17 0/1 53/20 1/12 8/3 1/9 27/10 1/6 73/27 2/23 46/17 5/51 65/24 5/48 19/7 4/37 68/25 1/9 117/43 34/305 49/18 15/134 30/11 11/97 101/37 4/35 71/26 3/26 112/41 1/9 41/15 6/53 134/49 25/219 227/83 4/35 93/34 19/166 52/19 1/9 11/4 7/60 36/13 7/59 25/9 8/67 39/14 7/58 53/19 2/15 14/5 3/25 45/16 29/240 76/27 43/355 183/65 4/33 107/38 57/470 31/11 4/33 48/17 5/41 17/6 11/90 54/19 7/57 37/13 8/65 57/20 37/300 20/7 13/105 23/8 1/8 26/9 17/135 3/1 2/15 25/8 1/8 47/15 2/15 22/7 1/7 19/6 1/6 16/5 1/5 45/14 1/10 74/23 5/43 29/9 4/33 13/4 1/8 49/15 2/15 36/11 19/143 95/29 2/15 154/47 89/667 59/18 35/262 23/7 16/119 33/10 3/22 10/3 1/7 57/17 4/29 104/31 9/65 47/14 33/238 84/25 51/367 37/11 6/43 64/19 15/107 27/8 5/36 98/29 27/193 71/21 50/357 44/13 17/121 17/5 12/85 24/7 1/7 31/9 22/153 7/2 5/34 53/15 14/95 99/28 29/196 145/41 4/27 46/13 15/101 39/11 4/27 32/9 19/127 25/7 18/119 43/12 11/72 18/5 7/45 65/18 7/46 112/31 3/19 47/13 2/13 170/47 3/19 123/34 1/6 76/21 3/19 29/8 3/20 11/3 0/1 59/16 1/8 48/13 9/65 85/23 18/127 122/33 1/7 37/10 9/62 26/7 1/7 41/11 2/15 15/4 3/20 49/13 2/13 83/22 17/110 34/9 7/45 19/5 2/13 42/11 1/7 23/6 1/6 73/19 18/109 123/32 1/6 50/13 11/65 27/7 0/1 4/1 3/19 25/6 1/6 46/11 35/209 21/5 16/95 17/4 13/76 47/11 4/23 30/7 7/41 13/3 10/57 35/8 5/28 22/5 5/27 75/17 10/51 53/12 1/4 31/7 4/23 9/2 1/6 50/11 17/99 91/20 9/52 41/9 4/23 114/25 31/177 73/16 19/108 32/7 7/39 23/5 2/11 37/8 13/72 51/11 2/11 65/14 23/126 14/3 5/27 33/7 10/53 85/18 27/142 307/65 4/21 222/47 73/383 137/29 4/21 52/11 19/99 71/15 8/41 19/4 1/4 24/5 1/5 77/16 1/6 53/11 2/11 29/6 1/6 34/7 7/37 5/1 4/21 26/5 1/5 47/9 38/189 21/4 17/84 16/3 1/5 27/5 22/105 11/2 3/14 28/5 1/5 17/3 2/9 57/10 11/50 40/7 5/21 63/11 0/1 23/4 5/24 52/9 25/117 29/5 8/37 6/1 3/13 25/4 1/4 19/3 4/17 51/8 11/48 32/5 11/47 13/2 11/46 46/7 7/29 33/5 8/33 53/8 45/184 20/3 17/69 27/4 1/4 34/5 29/115 7/1 6/23 22/3 1/3 15/2 5/18 23/3 4/15 31/4 9/32 8/1 5/17 17/2 3/10 9/1 8/25 10/1 1/3 11/1 2/5 12/1 3/7 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(475,226,-1776,-845) (-1/2,-9/19) -> (-19/71,-23/86) Hyperbolic Matrix(2111,996,3406,1607) (-9/19,-8/17) -> (44/71,75/121) Hyperbolic Matrix(1283,602,1754,823) (-8/17,-7/15) -> (49/67,30/41) Hyperbolic Matrix(811,378,118,55) (-7/15,-20/43) -> (34/5,7/1) Hyperbolic Matrix(1967,914,2434,1131) (-20/43,-13/28) -> (21/26,38/47) Hyperbolic Matrix(2427,1124,922,427) (-13/28,-6/13) -> (50/19,79/30) Hyperbolic Matrix(2415,1112,1492,687) (-6/13,-17/37) -> (89/55,34/21) Hyperbolic Matrix(2179,1000,3092,1419) (-17/37,-11/24) -> (31/44,43/61) Hyperbolic Matrix(1373,628,798,365) (-11/24,-5/11) -> (43/25,31/18) Hyperbolic Matrix(1133,512,790,357) (-5/11,-14/31) -> (10/7,33/23) Hyperbolic Matrix(563,254,-3726,-1681) (-14/31,-23/51) -> (-5/33,-8/53) Hyperbolic Matrix(1921,866,-5082,-2291) (-23/51,-9/20) -> (-31/82,-17/45) Hyperbolic Matrix(1123,504,1914,859) (-9/20,-13/29) -> (17/29,27/46) Hyperbolic Matrix(1009,452,788,353) (-13/29,-4/9) -> (32/25,9/7) Hyperbolic Matrix(1443,638,1780,787) (-4/9,-19/43) -> (17/21,30/37) Hyperbolic Matrix(557,246,-3222,-1423) (-19/43,-15/34) -> (-9/52,-5/29) Hyperbolic Matrix(1107,488,-4766,-2101) (-15/34,-26/59) -> (-10/43,-13/56) Hyperbolic Matrix(1439,634,-6648,-2929) (-26/59,-11/25) -> (-21/97,-8/37) Hyperbolic Matrix(555,244,-2104,-925) (-11/25,-18/41) -> (-14/53,-5/19) Hyperbolic Matrix(1103,484,1438,631) (-18/41,-7/16) -> (23/30,10/13) Hyperbolic Matrix(769,336,222,97) (-7/16,-17/39) -> (31/9,7/2) Hyperbolic Matrix(987,430,1430,623) (-17/39,-10/23) -> (20/29,9/13) Hyperbolic Matrix(1207,524,2080,903) (-10/23,-13/30) -> (29/50,18/31) Hyperbolic Matrix(545,236,1314,569) (-13/30,-3/7) -> (17/41,5/12) Hyperbolic Matrix(323,138,110,47) (-3/7,-20/47) -> (26/9,3/1) Hyperbolic Matrix(1943,826,3018,1283) (-20/47,-17/40) -> (9/14,38/59) Hyperbolic Matrix(1615,686,864,367) (-17/40,-14/33) -> (28/15,15/8) Hyperbolic Matrix(2257,956,1400,593) (-14/33,-11/26) -> (29/18,50/31) Hyperbolic Matrix(2687,1136,3328,1407) (-11/26,-41/97) -> (25/31,21/26) Hyperbolic Matrix(3653,1544,750,317) (-41/97,-30/71) -> (34/7,5/1) Hyperbolic Matrix(3863,1632,4940,2087) (-30/71,-19/45) -> (43/55,18/23) Hyperbolic Matrix(427,180,-1606,-677) (-19/45,-8/19) -> (-4/15,-13/49) Hyperbolic Matrix(1175,494,-5454,-2293) (-8/19,-29/69) -> (-11/51,-14/65) Hyperbolic Matrix(2675,1124,426,179) (-29/69,-21/50) -> (25/4,19/3) Hyperbolic Matrix(1067,448,-6090,-2557) (-21/50,-34/81) -> (-10/57,-7/40) Hyperbolic Matrix(1497,628,2348,985) (-34/81,-13/31) -> (7/11,30/47) Hyperbolic Matrix(1923,806,4588,1923) (-13/31,-31/74) -> (31/74,13/31) Hyperbolic Matrix(2669,1118,4586,1921) (-31/74,-18/43) -> (32/55,7/12) Hyperbolic Matrix(321,134,424,177) (-18/43,-5/12) -> (3/4,16/21) Hyperbolic Matrix(529,220,214,89) (-5/12,-17/41) -> (27/11,5/2) Hyperbolic Matrix(425,176,1374,569) (-17/41,-12/29) -> (4/13,9/29) Hyperbolic Matrix(2113,874,1482,613) (-12/29,-31/75) -> (47/33,10/7) Hyperbolic Matrix(4123,1704,-18072,-7469) (-31/75,-50/121) -> (-34/149,-13/57) Hyperbolic Matrix(4119,1702,530,219) (-50/121,-19/46) -> (31/4,8/1) Hyperbolic Matrix(4327,1786,2430,1003) (-19/46,-26/63) -> (16/9,57/32) Hyperbolic Matrix(13617,5618,5170,2133) (-26/63,-33/80) -> (79/30,108/41) Hyperbolic Matrix(18045,7442,10972,4525) (-33/80,-40/97) -> (74/45,125/76) Hyperbolic Matrix(631,260,-2740,-1129) (-40/97,-7/17) -> (-3/13,-20/87) Hyperbolic Matrix(735,302,-4208,-1729) (-7/17,-23/56) -> (-7/40,-11/63) Hyperbolic Matrix(2417,992,3472,1425) (-23/56,-16/39) -> (16/23,39/56) Hyperbolic Matrix(2625,1076,3574,1465) (-16/39,-25/61) -> (11/15,36/49) Hyperbolic Matrix(1157,474,-4938,-2023) (-25/61,-9/22) -> (-15/64,-11/47) Hyperbolic Matrix(1255,512,1782,727) (-9/22,-11/27) -> (19/27,31/44) Hyperbolic Matrix(733,298,1252,509) (-11/27,-2/5) -> (24/41,17/29) Hyperbolic Matrix(1739,686,616,243) (-2/5,-13/33) -> (31/11,48/17) Hyperbolic Matrix(1429,562,2352,925) (-13/33,-11/28) -> (17/28,31/51) Hyperbolic Matrix(1121,440,614,241) (-11/28,-9/23) -> (31/17,11/6) Hyperbolic Matrix(307,120,-1732,-677) (-9/23,-16/41) -> (-8/45,-3/17) Hyperbolic Matrix(303,118,-1420,-553) (-16/41,-7/18) -> (-3/14,-10/47) Hyperbolic Matrix(103,40,-1218,-473) (-7/18,-33/85) -> (-1/11,-1/12) Hyperbolic Matrix(10031,3894,5778,2243) (-33/85,-26/67) -> (92/53,33/19) Hyperbolic Matrix(4861,1886,3446,1337) (-26/67,-19/49) -> (55/39,24/17) Hyperbolic Matrix(1621,628,302,117) (-19/49,-12/31) -> (16/3,27/5) Hyperbolic Matrix(605,234,1316,509) (-12/31,-17/44) -> (11/24,6/13) Hyperbolic Matrix(301,116,-1108,-427) (-17/44,-5/13) -> (-3/11,-13/48) Hyperbolic Matrix(1309,502,2412,925) (-5/13,-23/60) -> (13/24,19/35) Hyperbolic Matrix(2213,848,702,269) (-23/60,-18/47) -> (22/7,19/6) Hyperbolic Matrix(1207,462,-4120,-1577) (-18/47,-13/34) -> (-17/58,-12/41) Hyperbolic Matrix(9033,3452,6220,2377) (-13/34,-47/123) -> (45/31,61/42) Hyperbolic Matrix(8731,3336,-31608,-12077) (-47/123,-34/89) -> (-50/181,-29/105) Hyperbolic Matrix(2911,1112,500,191) (-34/89,-21/55) -> (29/5,6/1) Hyperbolic Matrix(2505,956,904,345) (-21/55,-8/21) -> (36/13,25/9) Hyperbolic Matrix(799,304,502,191) (-8/21,-11/29) -> (27/17,8/5) Hyperbolic Matrix(5791,2194,2394,907) (-11/29,-25/66) -> (29/12,75/31) Hyperbolic Matrix(3593,1360,996,377) (-25/66,-14/37) -> (18/5,65/18) Hyperbolic Matrix(1195,452,3392,1283) (-14/37,-31/82) -> (19/54,6/17) Hyperbolic Matrix(101,38,396,149) (-17/45,-3/8) -> (1/4,7/27) Hyperbolic Matrix(495,184,1676,623) (-3/8,-13/35) -> (5/17,13/44) Hyperbolic Matrix(1381,512,294,109) (-13/35,-10/27) -> (14/3,33/7) Hyperbolic Matrix(887,328,1966,727) (-10/27,-17/46) -> (9/20,14/31) Hyperbolic Matrix(1083,400,-3934,-1453) (-17/46,-7/19) -> (-19/69,-11/40) Hyperbolic Matrix(685,252,492,181) (-7/19,-11/30) -> (25/18,7/5) Hyperbolic Matrix(879,322,980,359) (-11/30,-26/71) -> (8/9,9/10) Hyperbolic Matrix(295,108,2248,823) (-26/71,-15/41) -> (3/23,2/15) Hyperbolic Matrix(1761,644,4006,1465) (-15/41,-19/52) -> (29/66,11/25) Hyperbolic Matrix(587,214,96,35) (-19/52,-4/11) -> (6/1,25/4) Hyperbolic Matrix(193,70,488,177) (-4/11,-13/36) -> (11/28,2/5) Hyperbolic Matrix(677,244,-2228,-803) (-13/36,-9/25) -> (-7/23,-17/56) Hyperbolic Matrix(1257,452,292,105) (-9/25,-14/39) -> (30/7,13/3) Hyperbolic Matrix(4933,1770,772,277) (-14/39,-33/92) -> (51/8,32/5) Hyperbolic Matrix(9569,3432,7542,2705) (-33/92,-19/53) -> (85/67,33/26) Hyperbolic Matrix(4057,1454,2514,901) (-19/53,-5/14) -> (71/44,21/13) Hyperbolic Matrix(579,206,2212,787) (-5/14,-16/45) -> (6/23,11/42) Hyperbolic Matrix(2307,820,3272,1163) (-16/45,-11/31) -> (43/61,12/17) Hyperbolic Matrix(1055,374,866,307) (-11/31,-6/17) -> (28/23,11/9) Hyperbolic Matrix(2773,976,1628,573) (-6/17,-13/37) -> (63/37,46/27) Hyperbolic Matrix(4779,1678,6878,2415) (-13/37,-20/57) -> (66/95,41/59) Hyperbolic Matrix(4391,1540,-13940,-4889) (-20/57,-27/77) -> (-23/73,-40/127) Hyperbolic Matrix(7827,2744,1720,603) (-27/77,-7/20) -> (91/20,41/9) Hyperbolic Matrix(475,166,764,267) (-7/20,-1/3) -> (23/37,5/8) Hyperbolic Matrix(727,230,452,143) (-1/3,-6/19) -> (8/5,37/23) Hyperbolic Matrix(1085,342,92,29) (-6/19,-23/73) -> (11/1,12/1) Hyperbolic Matrix(12129,3820,10316,3249) (-40/127,-17/54) -> (87/74,20/17) Hyperbolic Matrix(6511,2048,4524,1423) (-17/54,-11/35) -> (59/41,95/66) Hyperbolic Matrix(1537,482,2618,821) (-11/35,-5/16) -> (27/46,37/63) Hyperbolic Matrix(449,140,542,169) (-5/16,-9/29) -> (19/23,5/6) Hyperbolic Matrix(3055,946,2154,667) (-9/29,-13/42) -> (17/12,61/43) Hyperbolic Matrix(2063,638,540,167) (-13/42,-4/13) -> (42/11,23/6) Hyperbolic Matrix(2325,712,3752,1149) (-4/13,-15/49) -> (13/21,44/71) Hyperbolic Matrix(4019,1230,5094,1559) (-15/49,-26/85) -> (56/71,15/19) Hyperbolic Matrix(5539,1694,9466,2895) (-26/85,-11/36) -> (55/94,24/41) Hyperbolic Matrix(269,82,1158,353) (-11/36,-7/23) -> (3/13,7/30) Hyperbolic Matrix(3117,946,2402,729) (-17/56,-10/33) -> (48/37,13/10) Hyperbolic Matrix(1599,484,446,135) (-10/33,-3/10) -> (43/12,18/5) Hyperbolic Matrix(87,26,532,159) (-3/10,-14/47) -> (4/25,1/6) Hyperbolic Matrix(3617,1076,1590,473) (-14/47,-11/37) -> (25/11,66/29) Hyperbolic Matrix(2027,602,266,79) (-11/37,-19/64) -> (15/2,23/3) Hyperbolic Matrix(883,262,792,235) (-19/64,-8/27) -> (10/9,9/8) Hyperbolic Matrix(703,208,970,287) (-8/27,-5/17) -> (21/29,8/11) Hyperbolic Matrix(2633,772,4560,1337) (-5/17,-17/58) -> (15/26,41/71) Hyperbolic Matrix(1751,512,790,231) (-12/41,-7/24) -> (31/14,20/9) Hyperbolic Matrix(261,76,1226,357) (-7/24,-9/31) -> (7/33,3/14) Hyperbolic Matrix(1483,430,438,127) (-9/31,-2/7) -> (44/13,17/5) Hyperbolic Matrix(345,98,88,25) (-2/7,-11/39) -> (27/7,4/1) Hyperbolic Matrix(433,122,-2850,-803) (-11/39,-9/32) -> (-7/46,-5/33) Hyperbolic Matrix(3537,994,1982,557) (-9/32,-16/57) -> (66/37,25/14) Hyperbolic Matrix(2241,628,860,241) (-16/57,-7/25) -> (13/5,60/23) Hyperbolic Matrix(601,168,948,265) (-7/25,-5/18) -> (19/30,7/11) Hyperbolic Matrix(599,166,516,143) (-5/18,-13/47) -> (15/13,7/6) Hyperbolic Matrix(427,118,2486,687) (-13/47,-21/76) -> (1/6,5/29) Hyperbolic Matrix(29557,8166,18246,5041) (-21/76,-50/181) -> (196/121,81/50) Hyperbolic Matrix(6079,1678,2228,615) (-29/105,-8/29) -> (30/11,101/37) Hyperbolic Matrix(3339,920,940,259) (-8/29,-19/69) -> (39/11,32/9) Hyperbolic Matrix(3161,868,2480,681) (-11/40,-14/51) -> (14/11,51/40) Hyperbolic Matrix(599,164,84,23) (-14/51,-3/11) -> (7/1,22/3) Hyperbolic Matrix(3317,898,1954,529) (-13/48,-10/37) -> (56/33,17/10) Hyperbolic Matrix(1867,504,426,115) (-10/37,-7/26) -> (35/8,22/5) Hyperbolic Matrix(1951,524,592,159) (-7/26,-11/41) -> (23/7,33/10) Hyperbolic Matrix(3725,998,2288,613) (-11/41,-15/56) -> (13/8,57/35) Hyperbolic Matrix(3809,1020,6606,1769) (-15/56,-19/71) -> (49/85,15/26) Hyperbolic Matrix(9649,2580,2876,769) (-23/86,-4/15) -> (104/31,47/14) Hyperbolic Matrix(10039,2662,4220,1119) (-13/49,-22/83) -> (88/37,69/29) Hyperbolic Matrix(9109,2414,6328,1677) (-22/83,-9/34) -> (95/66,36/25) Hyperbolic Matrix(3285,868,2108,557) (-9/34,-14/53) -> (14/9,53/34) Hyperbolic Matrix(419,110,758,199) (-5/19,-6/23) -> (16/29,5/9) Hyperbolic Matrix(1929,502,1172,305) (-6/23,-7/27) -> (51/31,28/17) Hyperbolic Matrix(1335,344,586,151) (-7/27,-1/4) -> (41/18,57/25) Hyperbolic Matrix(977,234,572,137) (-1/4,-5/21) -> (29/17,41/24) Hyperbolic Matrix(1383,328,974,231) (-5/21,-4/17) -> (44/31,27/19) Hyperbolic Matrix(3485,818,1538,361) (-4/17,-15/64) -> (77/34,34/15) Hyperbolic Matrix(1215,284,646,151) (-11/47,-7/30) -> (15/8,17/9) Hyperbolic Matrix(2669,622,1858,433) (-7/30,-10/43) -> (56/39,23/16) Hyperbolic Matrix(4603,1068,7426,1723) (-13/56,-3/13) -> (75/121,31/50) Hyperbolic Matrix(14009,3220,5956,1369) (-20/87,-17/74) -> (127/54,40/17) Hyperbolic Matrix(24869,5710,15370,3529) (-17/74,-14/61) -> (144/89,233/144) Hyperbolic Matrix(2573,590,1208,277) (-14/61,-11/48) -> (17/8,32/15) Hyperbolic Matrix(4663,1068,1288,295) (-11/48,-8/35) -> (76/21,29/8) Hyperbolic Matrix(8679,1982,4900,1119) (-8/35,-21/92) -> (85/48,62/35) Hyperbolic Matrix(31573,7206,13254,3025) (-21/92,-34/149) -> (212/89,81/34) Hyperbolic Matrix(3535,806,1364,311) (-13/57,-5/22) -> (57/22,13/5) Hyperbolic Matrix(1041,236,322,73) (-5/22,-7/31) -> (29/9,13/4) Hyperbolic Matrix(559,126,1362,307) (-7/31,-2/9) -> (16/39,7/17) Hyperbolic Matrix(317,70,240,53) (-2/9,-7/32) -> (21/16,4/3) Hyperbolic Matrix(3409,744,1984,433) (-7/32,-12/55) -> (12/7,55/32) Hyperbolic Matrix(3407,742,1428,311) (-12/55,-5/23) -> (31/13,74/31) Hyperbolic Matrix(1741,378,1110,241) (-5/23,-13/60) -> (47/30,11/7) Hyperbolic Matrix(8625,1868,12268,2657) (-13/60,-21/97) -> (71/101,45/64) Hyperbolic Matrix(315,68,1978,427) (-8/37,-11/51) -> (3/19,4/25) Hyperbolic Matrix(3557,766,1342,289) (-14/65,-3/14) -> (53/20,8/3) Hyperbolic Matrix(6455,1372,9292,1975) (-10/47,-17/80) -> (25/36,66/95) Hyperbolic Matrix(3543,752,2596,551) (-17/80,-7/33) -> (15/11,71/52) Hyperbolic Matrix(3619,766,2830,599) (-7/33,-11/52) -> (23/18,55/43) Hyperbolic Matrix(9199,1944,4008,847) (-11/52,-15/71) -> (39/17,101/44) Hyperbolic Matrix(2435,514,1966,415) (-15/71,-4/19) -> (26/21,31/25) Hyperbolic Matrix(1021,214,1646,345) (-4/19,-5/24) -> (31/50,18/29) Hyperbolic Matrix(627,130,1172,243) (-5/24,-6/29) -> (8/15,15/28) Hyperbolic Matrix(3205,662,702,145) (-6/29,-7/34) -> (73/16,32/7) Hyperbolic Matrix(545,112,1562,321) (-7/34,-1/5) -> (15/43,7/20) Hyperbolic Matrix(921,176,382,73) (-1/5,-4/21) -> (12/5,41/17) Hyperbolic Matrix(1451,274,842,159) (-4/21,-3/16) -> (31/18,50/29) Hyperbolic Matrix(991,184,684,127) (-3/16,-5/27) -> (13/9,29/20) Hyperbolic Matrix(379,70,1294,239) (-5/27,-2/11) -> (12/41,5/17) Hyperbolic Matrix(983,176,754,135) (-2/11,-5/28) -> (13/10,30/23) Hyperbolic Matrix(3923,698,1658,295) (-5/28,-8/45) -> (26/11,71/30) Hyperbolic Matrix(3537,622,1052,185) (-3/17,-10/57) -> (84/25,37/11) Hyperbolic Matrix(5933,1034,3678,641) (-11/63,-4/23) -> (50/31,121/75) Hyperbolic Matrix(3677,638,974,169) (-4/23,-9/52) -> (83/22,34/9) Hyperbolic Matrix(225,38,148,25) (-5/29,-1/6) -> (3/2,23/15) Hyperbolic Matrix(517,82,662,105) (-1/6,-3/19) -> (7/9,25/32) Hyperbolic Matrix(1251,196,734,115) (-3/19,-2/13) -> (46/27,29/17) Hyperbolic Matrix(2705,412,952,145) (-2/13,-7/46) -> (17/6,54/19) Hyperbolic Matrix(3725,562,802,121) (-8/53,-3/20) -> (65/14,14/3) Hyperbolic Matrix(509,76,730,109) (-3/20,-1/7) -> (23/33,7/10) Hyperbolic Matrix(501,68,862,117) (-1/7,-2/15) -> (18/31,25/43) Hyperbolic Matrix(1927,254,1358,179) (-2/15,-3/23) -> (61/43,44/31) Hyperbolic Matrix(923,118,1494,191) (-3/23,-1/8) -> (21/34,55/89) Hyperbolic Matrix(211,26,284,35) (-1/8,-2/17) -> (20/27,3/4) Hyperbolic Matrix(2523,292,1754,203) (-2/17,-3/26) -> (23/16,82/57) Hyperbolic Matrix(209,24,1402,161) (-3/26,-1/9) -> (7/47,3/20) Hyperbolic Matrix(347,38,210,23) (-1/9,-1/10) -> (33/20,5/3) Hyperbolic Matrix(1991,192,1234,119) (-1/10,-1/11) -> (121/75,71/44) Hyperbolic Matrix(469,34,400,29) (-1/12,0/1) -> (34/29,61/52) Hyperbolic Matrix(393,-40,226,-23) (0/1,1/9) -> (33/19,40/23) Hyperbolic Matrix(775,-92,278,-33) (1/9,1/8) -> (39/14,53/19) Hyperbolic Matrix(2139,-278,1208,-157) (1/8,3/23) -> (23/13,85/48) Hyperbolic Matrix(327,-44,602,-81) (2/15,1/7) -> (19/35,6/11) Hyperbolic Matrix(217,-32,1458,-215) (1/7,4/27) -> (4/27,7/47) Parabolic Matrix(2047,-308,432,-65) (3/20,5/33) -> (71/15,19/4) Hyperbolic Matrix(431,-66,1182,-181) (5/33,2/13) -> (4/11,23/63) Hyperbolic Matrix(591,-92,1394,-217) (2/13,3/19) -> (25/59,14/33) Hyperbolic Matrix(4121,-714,2326,-403) (5/29,4/23) -> (62/35,101/57) Hyperbolic Matrix(2111,-368,740,-129) (4/23,7/40) -> (57/20,20/7) Hyperbolic Matrix(3481,-610,1478,-259) (7/40,3/17) -> (73/31,33/14) Hyperbolic Matrix(473,-84,580,-103) (3/17,2/11) -> (22/27,9/11) Hyperbolic Matrix(523,-96,158,-29) (2/11,3/16) -> (33/10,10/3) Hyperbolic Matrix(939,-178,364,-69) (3/16,1/5) -> (49/19,31/12) Hyperbolic Matrix(821,-172,358,-75) (1/5,4/19) -> (16/7,39/17) Hyperbolic Matrix(2047,-432,308,-65) (4/19,11/52) -> (53/8,20/3) Hyperbolic Matrix(2199,-466,1024,-217) (11/52,7/33) -> (15/7,43/20) Hyperbolic Matrix(1173,-254,254,-55) (3/14,5/23) -> (23/5,37/8) Hyperbolic Matrix(559,-122,866,-189) (5/23,2/9) -> (20/31,11/17) Hyperbolic Matrix(303,-68,254,-57) (2/9,5/22) -> (19/16,6/5) Hyperbolic Matrix(253,-58,554,-127) (5/22,3/13) -> (5/11,11/24) Hyperbolic Matrix(2311,-540,1408,-329) (7/30,4/17) -> (64/39,23/14) Hyperbolic Matrix(953,-226,350,-83) (4/17,1/4) -> (49/18,30/11) Hyperbolic Matrix(1919,-498,3102,-805) (7/27,6/23) -> (60/97,13/21) Hyperbolic Matrix(1327,-348,3634,-953) (11/42,5/19) -> (23/63,19/52) Hyperbolic Matrix(931,-246,246,-65) (5/19,4/15) -> (34/9,19/5) Hyperbolic Matrix(1125,-302,488,-131) (4/15,7/26) -> (23/10,30/13) Hyperbolic Matrix(1661,-448,634,-171) (7/26,3/11) -> (55/21,21/8) Hyperbolic Matrix(437,-120,244,-67) (3/11,5/18) -> (25/14,9/5) Hyperbolic Matrix(437,-122,1114,-311) (5/18,7/25) -> (9/23,11/28) Hyperbolic Matrix(727,-204,1258,-353) (7/25,2/7) -> (26/45,11/19) Hyperbolic Matrix(337,-98,1152,-335) (2/7,7/24) -> (7/24,12/41) Parabolic Matrix(3923,-1160,1532,-453) (13/44,8/27) -> (64/25,41/16) Hyperbolic Matrix(3489,-1036,2152,-639) (8/27,11/37) -> (47/29,60/37) Hyperbolic Matrix(4299,-1280,6116,-1821) (11/37,14/47) -> (26/37,71/101) Hyperbolic Matrix(669,-200,572,-171) (14/47,3/10) -> (7/6,34/29) Hyperbolic Matrix(523,-158,96,-29) (3/10,7/23) -> (27/5,11/2) Hyperbolic Matrix(2185,-666,666,-203) (7/23,11/36) -> (59/18,23/7) Hyperbolic Matrix(2753,-842,1710,-523) (11/36,4/13) -> (66/41,29/18) Hyperbolic Matrix(1701,-530,1088,-339) (9/29,5/16) -> (25/16,61/39) Hyperbolic Matrix(661,-208,518,-163) (5/16,1/3) -> (37/29,23/18) Hyperbolic Matrix(369,-128,1058,-367) (1/3,8/23) -> (8/23,15/43) Parabolic Matrix(2111,-740,368,-129) (7/20,13/37) -> (63/11,23/4) Hyperbolic Matrix(3715,-1306,3166,-1113) (13/37,19/54) -> (61/52,27/23) Hyperbolic Matrix(1465,-518,642,-227) (6/17,11/31) -> (57/25,16/7) Hyperbolic Matrix(2011,-716,778,-277) (11/31,5/14) -> (31/12,75/29) Hyperbolic Matrix(685,-246,866,-311) (5/14,9/25) -> (15/19,19/24) Hyperbolic Matrix(365,-132,318,-115) (9/25,4/11) -> (8/7,15/13) Hyperbolic Matrix(4859,-1776,3450,-1261) (19/52,15/41) -> (69/49,31/22) Hyperbolic Matrix(4175,-1528,5992,-2193) (15/41,26/71) -> (62/89,23/33) Hyperbolic Matrix(4811,-1762,3312,-1213) (26/71,11/30) -> (61/42,16/11) Hyperbolic Matrix(953,-350,226,-83) (11/30,7/19) -> (21/5,17/4) Hyperbolic Matrix(317,-118,180,-67) (7/19,3/8) -> (7/4,23/13) Hyperbolic Matrix(1305,-494,494,-187) (3/8,11/29) -> (29/11,37/14) Hyperbolic Matrix(763,-290,1034,-393) (11/29,8/21) -> (14/19,17/23) Hyperbolic Matrix(1661,-634,448,-171) (8/21,13/34) -> (37/10,26/7) Hyperbolic Matrix(5875,-2248,2062,-789) (13/34,31/81) -> (37/13,57/20) Hyperbolic Matrix(5559,-2128,1570,-601) (31/81,18/47) -> (46/13,39/11) Hyperbolic Matrix(4123,-1580,1704,-653) (18/47,5/13) -> (75/31,46/19) Hyperbolic Matrix(2549,-984,1790,-691) (5/13,17/44) -> (37/26,47/33) Hyperbolic Matrix(2011,-778,716,-277) (17/44,12/31) -> (14/5,45/16) Hyperbolic Matrix(939,-364,178,-69) (12/31,7/18) -> (21/4,16/3) Hyperbolic Matrix(893,-348,1650,-643) (7/18,16/41) -> (20/37,13/24) Hyperbolic Matrix(3923,-1532,1160,-453) (16/41,9/23) -> (71/21,44/13) Hyperbolic Matrix(397,-162,968,-395) (2/5,9/22) -> (9/22,16/39) Parabolic Matrix(2327,-960,526,-217) (7/17,19/46) -> (53/12,31/7) Hyperbolic Matrix(4123,-1704,1580,-653) (19/46,12/29) -> (60/23,47/18) Hyperbolic Matrix(3813,-1580,2324,-963) (12/29,17/41) -> (41/25,64/39) Hyperbolic Matrix(1837,-768,830,-347) (5/12,18/43) -> (42/19,31/14) Hyperbolic Matrix(2273,-952,4238,-1775) (18/43,31/74) -> (15/28,22/41) Hyperbolic Matrix(4061,-1704,1704,-715) (13/31,21/50) -> (81/34,31/13) Hyperbolic Matrix(3579,-1504,2620,-1101) (21/50,8/19) -> (56/41,41/30) Hyperbolic Matrix(4709,-1986,6760,-2851) (8/19,27/64) -> (39/56,62/89) Hyperbolic Matrix(24287,-10248,6714,-2833) (27/64,46/109) -> (170/47,123/34) Hyperbolic Matrix(12773,-5392,3532,-1491) (46/109,19/45) -> (47/13,170/47) Hyperbolic Matrix(3399,-1436,2180,-921) (19/45,11/26) -> (53/34,39/25) Hyperbolic Matrix(4051,-1716,6924,-2933) (11/26,25/59) -> (31/53,55/94) Hyperbolic Matrix(3481,-1478,610,-259) (14/33,17/40) -> (57/10,40/7) Hyperbolic Matrix(609,-260,260,-111) (17/40,3/7) -> (7/3,47/20) Hyperbolic Matrix(1125,-488,302,-131) (3/7,10/23) -> (26/7,41/11) Hyperbolic Matrix(821,-358,172,-75) (10/23,7/16) -> (19/4,24/5) Hyperbolic Matrix(1465,-642,518,-227) (7/16,18/41) -> (48/17,17/6) Hyperbolic Matrix(3101,-1362,4524,-1987) (18/41,29/66) -> (37/54,24/35) Hyperbolic Matrix(1075,-474,474,-209) (11/25,4/9) -> (34/15,25/11) Hyperbolic Matrix(557,-250,684,-307) (4/9,9/20) -> (13/16,22/27) Hyperbolic Matrix(1837,-830,768,-347) (14/31,5/11) -> (55/23,12/5) Hyperbolic Matrix(3981,-1846,1102,-511) (6/13,13/28) -> (65/18,112/31) Hyperbolic Matrix(2199,-1024,466,-217) (13/28,7/15) -> (33/7,85/18) Hyperbolic Matrix(589,-278,464,-219) (7/15,1/2) -> (33/26,47/37) Hyperbolic Matrix(447,-236,608,-321) (1/2,8/15) -> (36/49,25/34) Hyperbolic Matrix(6293,-3378,1332,-715) (22/41,7/13) -> (137/29,52/11) Hyperbolic Matrix(3221,-1740,1368,-739) (7/13,20/37) -> (40/17,73/31) Hyperbolic Matrix(441,-242,800,-439) (6/11,11/20) -> (11/20,16/29) Parabolic Matrix(437,-244,120,-67) (5/9,9/16) -> (29/8,11/3) Hyperbolic Matrix(317,-180,118,-67) (9/16,4/7) -> (8/3,27/10) Hyperbolic Matrix(393,-226,40,-23) (4/7,19/33) -> (9/1,10/1) Hyperbolic Matrix(4013,-2312,6962,-4011) (19/33,34/59) -> (34/59,49/85) Parabolic Matrix(12733,-7354,4874,-2815) (41/71,26/45) -> (128/49,81/31) Hyperbolic Matrix(1021,-592,902,-523) (11/19,29/50) -> (9/8,17/15) Hyperbolic Matrix(7683,-4468,2980,-1733) (25/43,32/55) -> (116/45,49/19) Hyperbolic Matrix(1291,-754,940,-549) (7/12,31/53) -> (59/43,11/8) Hyperbolic Matrix(5155,-3028,1602,-941) (37/63,10/17) -> (74/23,29/9) Hyperbolic Matrix(195,-116,116,-69) (10/17,3/5) -> (5/3,22/13) Hyperbolic Matrix(1467,-890,2006,-1217) (3/5,17/28) -> (19/26,49/67) Hyperbolic Matrix(1697,-1032,1156,-703) (31/51,14/23) -> (22/15,25/17) Hyperbolic Matrix(2311,-1408,540,-329) (14/23,25/41) -> (47/11,30/7) Hyperbolic Matrix(3157,-1926,1926,-1175) (25/41,11/18) -> (59/36,41/25) Hyperbolic Matrix(653,-400,462,-283) (11/18,8/13) -> (24/17,17/12) Hyperbolic Matrix(3489,-2152,1036,-639) (8/13,29/47) -> (37/11,64/19) Hyperbolic Matrix(5405,-3336,3336,-2059) (29/47,21/34) -> (81/50,47/29) Hyperbolic Matrix(18469,-11414,11228,-6939) (55/89,89/144) -> (125/76,51/31) Hyperbolic Matrix(21305,-13168,13602,-8407) (89/144,34/55) -> (130/83,47/30) Hyperbolic Matrix(8161,-5046,5976,-3695) (34/55,47/76) -> (71/52,56/41) Hyperbolic Matrix(21797,-13482,9576,-5923) (47/76,60/97) -> (66/29,173/76) Hyperbolic Matrix(2753,-1710,842,-523) (18/29,23/37) -> (49/15,36/11) Hyperbolic Matrix(457,-288,722,-455) (5/8,12/19) -> (12/19,19/30) Parabolic Matrix(7341,-4688,4502,-2875) (30/47,23/36) -> (75/46,106/65) Hyperbolic Matrix(1701,-1088,530,-339) (23/36,16/25) -> (16/5,45/14) Hyperbolic Matrix(2797,-1792,2040,-1307) (16/25,25/39) -> (37/27,48/35) Hyperbolic Matrix(3399,-2180,1436,-921) (25/39,9/14) -> (71/30,45/19) Hyperbolic Matrix(10747,-6924,6862,-4421) (38/59,29/45) -> (83/53,130/83) Hyperbolic Matrix(791,-510,76,-49) (29/45,20/31) -> (10/1,11/1) Hyperbolic Matrix(1957,-1268,338,-219) (11/17,24/37) -> (52/9,29/5) Hyperbolic Matrix(2143,-1392,1578,-1025) (24/37,13/20) -> (19/14,72/53) Hyperbolic Matrix(639,-416,788,-513) (13/20,2/3) -> (30/37,13/16) Hyperbolic Matrix(773,-528,590,-403) (2/3,13/19) -> (17/13,38/29) Hyperbolic Matrix(4379,-3000,1140,-781) (13/19,37/54) -> (23/6,73/19) Hyperbolic Matrix(1875,-1288,1102,-757) (24/35,11/16) -> (17/10,80/47) Hyperbolic Matrix(4811,-3312,1762,-1213) (11/16,31/45) -> (101/37,71/26) Hyperbolic Matrix(8075,-5564,3084,-2125) (31/45,20/29) -> (144/55,55/21) Hyperbolic Matrix(3515,-2438,2562,-1777) (9/13,34/49) -> (48/35,59/43) Hyperbolic Matrix(4941,-3430,1756,-1219) (34/49,25/36) -> (45/16,76/27) Hyperbolic Matrix(2633,-1830,3256,-2263) (41/59,16/23) -> (38/47,17/21) Hyperbolic Matrix(2549,-1790,984,-691) (7/10,26/37) -> (44/17,57/22) Hyperbolic Matrix(11175,-7858,3022,-2125) (45/64,64/91) -> (122/33,37/10) Hyperbolic Matrix(11029,-7758,2984,-2099) (64/91,19/27) -> (85/23,122/33) Hyperbolic Matrix(653,-462,400,-283) (12/17,5/7) -> (31/19,18/11) Hyperbolic Matrix(469,-338,648,-467) (5/7,13/18) -> (13/18,21/29) Parabolic Matrix(2797,-2040,1792,-1307) (8/11,27/37) -> (39/25,64/41) Hyperbolic Matrix(1755,-1282,538,-393) (27/37,19/26) -> (13/4,49/15) Hyperbolic Matrix(3579,-2620,1504,-1101) (30/41,11/15) -> (69/29,50/21) Hyperbolic Matrix(5359,-3942,1214,-893) (25/34,39/53) -> (75/17,53/12) Hyperbolic Matrix(2143,-1578,1392,-1025) (39/53,14/19) -> (20/13,57/37) Hyperbolic Matrix(1141,-844,534,-395) (17/23,20/27) -> (32/15,15/7) Hyperbolic Matrix(773,-590,528,-403) (16/21,13/17) -> (19/13,22/15) Hyperbolic Matrix(2177,-1668,1544,-1183) (13/17,23/30) -> (31/22,55/39) Hyperbolic Matrix(315,-244,244,-189) (10/13,7/9) -> (9/7,22/17) Hyperbolic Matrix(6439,-5032,2366,-1849) (25/32,43/55) -> (117/43,49/18) Hyperbolic Matrix(661,-518,208,-163) (18/23,11/14) -> (19/6,16/5) Hyperbolic Matrix(589,-464,278,-219) (11/14,26/33) -> (2/1,17/8) Hyperbolic Matrix(4265,-3362,5408,-4263) (26/33,41/52) -> (41/52,56/71) Parabolic Matrix(277,-220,34,-27) (19/24,4/5) -> (8/1,17/2) Hyperbolic Matrix(4843,-3900,1854,-1493) (4/5,25/31) -> (175/67,128/49) Hyperbolic Matrix(477,-392,578,-475) (9/11,14/17) -> (14/17,19/23) Parabolic Matrix(303,-254,68,-57) (5/6,11/13) -> (31/7,9/2) Hyperbolic Matrix(1811,-1538,670,-569) (11/13,17/20) -> (27/10,73/27) Hyperbolic Matrix(1809,-1540,1540,-1311) (17/20,23/27) -> (27/23,47/40) Hyperbolic Matrix(669,-572,200,-171) (23/27,6/7) -> (10/3,57/17) Hyperbolic Matrix(365,-318,132,-115) (6/7,7/8) -> (11/4,36/13) Hyperbolic Matrix(1021,-902,592,-523) (7/8,8/9) -> (50/29,69/40) Hyperbolic Matrix(423,-382,196,-177) (9/10,1/1) -> (41/19,13/6) Hyperbolic Matrix(535,-582,148,-161) (1/1,10/9) -> (112/31,47/13) Hyperbolic Matrix(1453,-1648,842,-955) (17/15,8/7) -> (88/51,19/11) Hyperbolic Matrix(7639,-8978,6498,-7637) (47/40,67/57) -> (67/57,87/74) Parabolic Matrix(1111,-1308,626,-737) (20/17,13/11) -> (55/31,16/9) Hyperbolic Matrix(965,-1142,398,-471) (13/11,19/16) -> (63/26,17/7) Hyperbolic Matrix(477,-578,392,-475) (6/5,17/14) -> (17/14,28/23) Parabolic Matrix(473,-580,84,-103) (11/9,16/13) -> (28/5,17/3) Hyperbolic Matrix(639,-788,416,-513) (16/13,21/17) -> (23/15,20/13) Hyperbolic Matrix(2633,-3256,1830,-2263) (21/17,26/21) -> (82/57,59/41) Hyperbolic Matrix(387,-482,110,-137) (31/25,5/4) -> (7/2,53/15) Hyperbolic Matrix(685,-866,246,-311) (5/4,19/15) -> (25/9,39/14) Hyperbolic Matrix(4265,-5408,3362,-4263) (19/15,52/41) -> (52/41,85/67) Parabolic Matrix(4315,-5482,1638,-2081) (47/37,14/11) -> (108/41,29/11) Hyperbolic Matrix(845,-1078,272,-347) (51/40,37/29) -> (3/1,25/8) Hyperbolic Matrix(2503,-3202,598,-765) (55/43,32/25) -> (46/11,21/5) Hyperbolic Matrix(1891,-2450,1458,-1889) (22/17,35/27) -> (35/27,48/37) Parabolic Matrix(1883,-2458,1156,-1509) (30/23,17/13) -> (57/35,44/27) Hyperbolic Matrix(1851,-2428,1126,-1477) (38/29,21/16) -> (23/14,74/45) Hyperbolic Matrix(763,-1034,290,-393) (4/3,19/14) -> (21/8,50/19) Hyperbolic Matrix(11119,-15106,2892,-3929) (72/53,125/92) -> (123/32,50/13) Hyperbolic Matrix(11513,-15644,2996,-4071) (125/92,53/39) -> (73/19,123/32) Hyperbolic Matrix(5597,-7608,1656,-2251) (53/39,34/25) -> (98/29,71/21) Hyperbolic Matrix(447,-608,236,-321) (34/25,15/11) -> (17/9,2/1) Hyperbolic Matrix(1467,-2006,890,-1217) (41/30,26/19) -> (28/17,33/20) Hyperbolic Matrix(2485,-3404,1544,-2115) (26/19,37/27) -> (37/23,66/41) Hyperbolic Matrix(469,-648,338,-467) (11/8,18/13) -> (18/13,25/18) Parabolic Matrix(2421,-3406,1546,-2175) (7/5,38/27) -> (36/23,83/53) Hyperbolic Matrix(7673,-10804,2806,-3951) (38/27,69/49) -> (41/15,134/49) Hyperbolic Matrix(10855,-15432,4148,-5897) (27/19,91/64) -> (157/60,123/47) Hyperbolic Matrix(9241,-13142,3532,-5023) (91/64,64/45) -> (34/13,157/60) Hyperbolic Matrix(4299,-6116,1280,-1821) (64/45,37/26) -> (47/14,84/25) Hyperbolic Matrix(4175,-5992,1528,-2193) (33/23,56/39) -> (112/41,41/15) Hyperbolic Matrix(4471,-6440,1728,-2489) (36/25,49/34) -> (119/46,44/17) Hyperbolic Matrix(2387,-3442,1396,-2013) (49/34,13/9) -> (53/31,65/38) Hyperbolic Matrix(2049,-2974,556,-807) (29/20,45/31) -> (11/3,59/16) Hyperbolic Matrix(2271,-3310,706,-1029) (16/11,35/24) -> (45/14,74/23) Hyperbolic Matrix(3101,-4524,1362,-1987) (35/24,19/13) -> (107/47,41/18) Hyperbolic Matrix(4139,-6092,2558,-3765) (25/17,3/2) -> (233/144,89/55) Hyperbolic Matrix(16887,-26018,7418,-11429) (57/37,94/61) -> (280/123,107/47) Hyperbolic Matrix(17273,-26622,7588,-11695) (94/61,37/24) -> (173/76,280/123) Hyperbolic Matrix(2853,-4400,1610,-2483) (37/24,17/11) -> (101/57,39/22) Hyperbolic Matrix(559,-866,122,-189) (17/11,14/9) -> (32/7,23/5) Hyperbolic Matrix(2857,-4460,1670,-2607) (64/41,25/16) -> (65/38,12/7) Hyperbolic Matrix(4569,-7148,2684,-4199) (61/39,36/23) -> (80/47,63/37) Hyperbolic Matrix(457,-722,288,-455) (11/7,19/12) -> (19/12,27/17) Parabolic Matrix(1919,-3102,498,-805) (21/13,76/47) -> (50/13,27/7) Hyperbolic Matrix(3885,-6284,1634,-2643) (76/47,55/34) -> (19/8,88/37) Hyperbolic Matrix(10373,-16782,2274,-3679) (55/34,144/89) -> (114/25,73/16) Hyperbolic Matrix(16331,-26450,10082,-16329) (34/21,115/71) -> (115/71,196/121) Parabolic Matrix(4233,-6866,1844,-2991) (60/37,13/8) -> (101/44,62/27) Hyperbolic Matrix(4903,-7992,1792,-2921) (44/27,75/46) -> (93/34,52/19) Hyperbolic Matrix(4831,-7880,1060,-1729) (106/65,31/19) -> (41/9,114/25) Hyperbolic Matrix(1551,-2540,494,-809) (18/11,77/47) -> (47/15,22/7) Hyperbolic Matrix(2867,-4698,916,-1501) (77/47,59/36) -> (25/8,47/15) Hyperbolic Matrix(1795,-3042,1058,-1793) (22/13,39/23) -> (39/23,56/33) Parabolic Matrix(2037,-3482,320,-547) (41/24,53/31) -> (19/3,51/8) Hyperbolic Matrix(2029,-3488,388,-667) (55/32,43/25) -> (47/9,21/4) Hyperbolic Matrix(9169,-15818,2798,-4827) (69/40,88/51) -> (154/47,59/18) Hyperbolic Matrix(727,-1258,204,-353) (19/11,26/15) -> (32/9,25/7) Hyperbolic Matrix(4013,-6962,2312,-4011) (26/15,59/34) -> (59/34,92/53) Parabolic Matrix(407,-710,90,-157) (40/23,7/4) -> (9/2,50/11) Hyperbolic Matrix(2369,-4202,358,-635) (39/22,55/31) -> (33/5,53/8) Hyperbolic Matrix(2363,-4210,490,-873) (57/32,41/23) -> (53/11,29/6) Hyperbolic Matrix(2161,-3854,1002,-1787) (41/23,66/37) -> (28/13,41/19) Hyperbolic Matrix(441,-800,242,-439) (9/5,20/11) -> (20/11,31/17) Parabolic Matrix(327,-602,44,-81) (11/6,24/13) -> (22/3,15/2) Hyperbolic Matrix(893,-1650,348,-643) (24/13,13/7) -> (59/23,18/7) Hyperbolic Matrix(2273,-4238,952,-1775) (13/7,28/15) -> (74/31,117/49) Hyperbolic Matrix(3759,-8084,1574,-3385) (43/20,28/13) -> (160/67,43/18) Hyperbolic Matrix(253,-554,58,-127) (13/6,11/5) -> (13/3,35/8) Hyperbolic Matrix(1855,-4098,502,-1109) (11/5,42/19) -> (48/13,85/23) Hyperbolic Matrix(211,-472,38,-85) (20/9,9/4) -> (11/2,28/5) Hyperbolic Matrix(1635,-3698,722,-1633) (9/4,43/19) -> (43/19,77/34) Parabolic Matrix(4081,-9374,1128,-2591) (62/27,23/10) -> (123/34,76/21) Hyperbolic Matrix(731,-1688,262,-605) (30/13,7/3) -> (53/19,14/5) Hyperbolic Matrix(6439,-15138,2738,-6437) (47/20,87/37) -> (87/37,127/54) Parabolic Matrix(591,-1394,92,-217) (33/14,26/11) -> (32/5,13/2) Hyperbolic Matrix(3901,-9242,810,-1919) (45/19,109/46) -> (77/16,53/11) Hyperbolic Matrix(3183,-7544,662,-1569) (109/46,64/27) -> (24/5,77/16) Hyperbolic Matrix(2813,-6672,1030,-2443) (64/27,19/8) -> (71/26,112/41) Hyperbolic Matrix(14411,-34322,6050,-14409) (50/21,131/55) -> (131/55,212/89) Parabolic Matrix(20057,-47894,4246,-10139) (117/49,160/67) -> (222/47,137/29) Hyperbolic Matrix(4261,-10184,1628,-3891) (43/18,55/23) -> (123/47,89/34) Hyperbolic Matrix(853,-2060,200,-483) (41/17,29/12) -> (17/4,47/11) Hyperbolic Matrix(3061,-7416,906,-2195) (46/19,63/26) -> (27/8,98/29) Hyperbolic Matrix(397,-968,162,-395) (17/7,22/9) -> (22/9,27/11) Parabolic Matrix(437,-1114,122,-311) (5/2,23/9) -> (25/7,43/12) Hyperbolic Matrix(2073,-5306,470,-1203) (23/9,64/25) -> (22/5,75/17) Hyperbolic Matrix(1583,-4060,278,-713) (41/16,59/23) -> (17/3,57/10) Hyperbolic Matrix(3485,-8978,1352,-3483) (18/7,67/26) -> (67/26,116/45) Parabolic Matrix(4529,-11714,1608,-4159) (75/29,119/46) -> (107/38,31/11) Hyperbolic Matrix(7587,-19816,2146,-5605) (47/18,175/67) -> (53/15,99/28) Hyperbolic Matrix(2059,-5382,360,-941) (81/31,34/13) -> (40/7,63/11) Hyperbolic Matrix(463,-1212,34,-89) (89/34,144/55) -> (12/1,1/0) Hyperbolic Matrix(1531,-4050,578,-1529) (37/14,45/17) -> (45/17,53/20) Parabolic Matrix(2611,-7062,552,-1493) (73/27,46/17) -> (52/11,71/15) Hyperbolic Matrix(1639,-4438,284,-769) (46/17,65/24) -> (23/4,52/9) Hyperbolic Matrix(769,-2084,100,-271) (65/24,19/7) -> (23/3,31/4) Hyperbolic Matrix(3401,-9248,1250,-3399) (19/7,68/25) -> (68/25,117/43) Parabolic Matrix(10923,-29872,3088,-8445) (134/49,227/83) -> (145/41,46/13) Hyperbolic Matrix(13147,-35958,3718,-10169) (227/83,93/34) -> (99/28,145/41) Hyperbolic Matrix(431,-1182,66,-181) (52/19,11/4) -> (13/2,46/7) Hyperbolic Matrix(22719,-63958,4810,-13541) (76/27,183/65) -> (307/65,222/47) Hyperbolic Matrix(17191,-48404,3640,-10249) (183/65,107/38) -> (85/18,307/65) Hyperbolic Matrix(2435,-6926,726,-2065) (54/19,37/13) -> (57/17,104/31) Hyperbolic Matrix(369,-1058,128,-367) (20/7,23/8) -> (23/8,26/9) Parabolic Matrix(5511,-18050,1682,-5509) (36/11,95/29) -> (95/29,154/47) Parabolic Matrix(823,-2774,170,-573) (64/19,27/8) -> (29/6,34/7) Hyperbolic Matrix(337,-1152,98,-335) (17/5,24/7) -> (24/7,31/9) Parabolic Matrix(1983,-7318,436,-1609) (59/16,48/13) -> (50/11,91/20) Hyperbolic Matrix(223,-832,26,-97) (41/11,15/4) -> (17/2,9/1) Hyperbolic Matrix(1275,-4802,338,-1273) (15/4,49/13) -> (49/13,83/22) Parabolic Matrix(593,-2260,90,-343) (19/5,42/11) -> (46/7,33/5) Hyperbolic Matrix(301,-1250,72,-299) (4/1,25/6) -> (25/6,46/11) Parabolic Matrix(1123,-5202,242,-1121) (37/8,51/11) -> (51/11,65/14) Parabolic Matrix(261,-1352,50,-259) (5/1,26/5) -> (26/5,47/9) Parabolic Matrix(217,-1458,32,-215) (20/3,27/4) -> (27/4,34/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,58,1) Matrix(475,226,-1776,-845) -> Matrix(331,-6,13516,-245) Matrix(2111,996,3406,1607) -> Matrix(547,-10,9682,-177) Matrix(1283,602,1754,823) -> Matrix(217,-4,3418,-63) Matrix(811,378,118,55) -> Matrix(649,-12,2542,-47) Matrix(1967,914,2434,1131) -> Matrix(431,-8,6950,-129) Matrix(2427,1124,922,427) -> Matrix(107,-2,910,-17) Matrix(2415,1112,1492,687) -> Matrix(427,-8,4964,-93) Matrix(2179,1000,3092,1419) -> Matrix(213,-4,3568,-67) Matrix(1373,628,798,365) -> Matrix(319,-6,4094,-77) Matrix(1133,512,790,357) -> Matrix(105,-2,1418,-27) Matrix(563,254,-3726,-1681) -> Matrix(839,-16,28998,-553) Matrix(1921,866,-5082,-2291) -> Matrix(209,-4,9562,-183) Matrix(1123,504,1914,859) -> Matrix(105,-2,1418,-27) Matrix(1009,452,788,353) -> Matrix(209,-4,2456,-47) Matrix(1443,638,1780,787) -> Matrix(103,-2,1700,-33) Matrix(557,246,-3222,-1423) -> Matrix(413,-8,14610,-283) Matrix(1107,488,-4766,-2101) -> Matrix(103,-2,3966,-77) Matrix(1439,634,-6648,-2929) -> Matrix(103,-2,3760,-73) Matrix(555,244,-2104,-925) -> Matrix(207,-4,8332,-161) Matrix(1103,484,1438,631) -> Matrix(103,-2,1082,-21) Matrix(769,336,222,97) -> Matrix(511,-10,3526,-69) Matrix(987,430,1430,623) -> Matrix(407,-8,6970,-137) Matrix(1207,524,2080,903) -> Matrix(405,-8,6632,-131) Matrix(545,236,1314,569) -> Matrix(301,-6,5970,-119) Matrix(323,138,110,47) -> Matrix(201,-4,1558,-31) Matrix(1943,826,3018,1283) -> Matrix(399,-8,6434,-129) Matrix(1615,686,864,367) -> Matrix(299,-6,3040,-61) Matrix(2257,956,1400,593) -> Matrix(397,-8,4516,-91) Matrix(2687,1136,3328,1407) -> Matrix(197,-4,3300,-67) Matrix(3653,1544,750,317) -> Matrix(99,-2,446,-9) Matrix(3863,1632,4940,2087) -> Matrix(393,-8,6632,-135) Matrix(427,180,-1606,-677) -> Matrix(99,-2,4010,-81) Matrix(1175,494,-5454,-2293) -> Matrix(1,0,-14,1) Matrix(2675,1124,426,179) -> Matrix(99,-2,446,-9) Matrix(1067,448,-6090,-2557) -> Matrix(101,-2,3586,-71) Matrix(1497,628,2348,985) -> Matrix(197,-4,3300,-67) Matrix(1923,806,4588,1923) -> Matrix(105,-2,2048,-39) Matrix(2669,1118,4586,1921) -> Matrix(201,-4,3166,-63) Matrix(321,134,424,177) -> Matrix(99,-2,1436,-29) Matrix(529,220,214,89) -> Matrix(295,-6,2606,-53) Matrix(425,176,1374,569) -> Matrix(293,-6,6202,-127) Matrix(2113,874,1482,613) -> Matrix(195,-4,2194,-45) Matrix(4123,1704,-18072,-7469) -> Matrix(1165,-24,44804,-923) Matrix(4119,1702,530,219) -> Matrix(581,-12,2082,-43) Matrix(4327,1786,2430,1003) -> Matrix(195,-4,2194,-45) Matrix(13617,5618,5170,2133) -> Matrix(195,-4,1414,-29) Matrix(18045,7442,10972,4525) -> Matrix(97,-2,1504,-31) Matrix(631,260,-2740,-1129) -> Matrix(387,-8,14948,-309) Matrix(735,302,-4208,-1729) -> Matrix(97,-2,3444,-71) Matrix(2417,992,3472,1425) -> Matrix(1,0,-32,1) Matrix(2625,1076,3574,1465) -> Matrix(93,-2,1442,-31) Matrix(1157,474,-4938,-2023) -> Matrix(1,0,-6,1) Matrix(1255,512,1782,727) -> Matrix(99,-2,1634,-33) Matrix(733,298,1252,509) -> Matrix(97,-2,1504,-31) Matrix(1739,686,616,243) -> Matrix(287,-6,2344,-49) Matrix(1429,562,2352,925) -> Matrix(95,-2,1568,-33) Matrix(1121,440,614,241) -> Matrix(471,-10,5134,-109) Matrix(307,120,-1732,-677) -> Matrix(187,-4,6592,-141) Matrix(303,118,-1420,-553) -> Matrix(93,-2,3488,-75) Matrix(103,40,-1218,-473) -> Matrix(277,-6,8818,-191) Matrix(10031,3894,5778,2243) -> Matrix(1289,-28,15422,-335) Matrix(4861,1886,3446,1337) -> Matrix(367,-8,4450,-97) Matrix(1621,628,302,117) -> Matrix(271,-6,1310,-29) Matrix(605,234,1316,509) -> Matrix(89,-2,1736,-39) Matrix(301,116,-1108,-427) -> Matrix(1,0,-8,1) Matrix(1309,502,2412,925) -> Matrix(91,-2,1684,-37) Matrix(2213,848,702,269) -> Matrix(93,-2,698,-15) Matrix(1207,462,-4120,-1577) -> Matrix(93,-2,3860,-83) Matrix(9033,3452,6220,2377) -> Matrix(187,-4,2104,-45) Matrix(8731,3336,-31608,-12077) -> Matrix(1117,-24,45192,-971) Matrix(2911,1112,500,191) -> Matrix(371,-8,1716,-37) Matrix(2505,956,904,345) -> Matrix(373,-8,3124,-67) Matrix(799,304,502,191) -> Matrix(277,-6,3278,-71) Matrix(5791,2194,2394,907) -> Matrix(913,-20,8354,-183) Matrix(3593,1360,996,377) -> Matrix(183,-4,1144,-25) Matrix(1195,452,3392,1283) -> Matrix(361,-8,7536,-167) Matrix(101,38,396,149) -> Matrix(91,-2,2048,-45) Matrix(495,184,1676,623) -> Matrix(369,-8,8072,-175) Matrix(1381,512,294,109) -> Matrix(89,-2,490,-11) Matrix(887,328,1966,727) -> Matrix(91,-2,1866,-41) Matrix(1083,400,-3934,-1453) -> Matrix(91,-2,3686,-81) Matrix(685,252,492,181) -> Matrix(181,-4,2308,-51) Matrix(879,322,980,359) -> Matrix(89,-2,1380,-31) Matrix(295,108,2248,823) -> Matrix(179,-4,4520,-101) Matrix(1761,644,4006,1465) -> Matrix(89,-2,1558,-35) Matrix(587,214,96,35) -> Matrix(87,-2,392,-9) Matrix(193,70,488,177) -> Matrix(87,-2,1784,-41) Matrix(677,244,-2228,-803) -> Matrix(1,0,-8,1) Matrix(1257,452,292,105) -> Matrix(185,-4,1064,-23) Matrix(4933,1770,772,277) -> Matrix(453,-10,1948,-43) Matrix(9569,3432,7542,2705) -> Matrix(631,-14,8158,-181) Matrix(4057,1454,2514,901) -> Matrix(179,-4,2014,-45) Matrix(579,206,2212,787) -> Matrix(91,-2,2048,-45) Matrix(2307,820,3272,1163) -> Matrix(1,0,-28,1) Matrix(1055,374,866,307) -> Matrix(177,-4,2434,-55) Matrix(2773,976,1628,573) -> Matrix(1,0,-28,1) Matrix(4779,1678,6878,2415) -> Matrix(167,-4,2714,-65) Matrix(4391,1540,-13940,-4889) -> Matrix(1,0,-8,1) Matrix(7827,2744,1720,603) -> Matrix(185,-4,1064,-23) Matrix(475,166,764,267) -> Matrix(85,-2,1488,-35) Matrix(727,230,452,143) -> Matrix(89,-2,1024,-23) Matrix(1085,342,92,29) -> Matrix(83,-2,208,-5) Matrix(12129,3820,10316,3249) -> Matrix(1,0,-8,1) Matrix(6511,2048,4524,1423) -> Matrix(181,-4,2308,-51) Matrix(1537,482,2618,821) -> Matrix(1,0,-30,1) Matrix(449,140,542,169) -> Matrix(87,-2,1262,-29) Matrix(3055,946,2154,667) -> Matrix(1,0,-30,1) Matrix(2063,638,540,167) -> Matrix(83,-2,540,-13) Matrix(2325,712,3752,1149) -> Matrix(169,-4,3000,-71) Matrix(4019,1230,5094,1559) -> Matrix(337,-8,5350,-127) Matrix(5539,1694,9466,2895) -> Matrix(167,-4,2714,-65) Matrix(269,82,1158,353) -> Matrix(163,-4,3790,-93) Matrix(3117,946,2402,729) -> Matrix(1,0,-6,1) Matrix(1599,484,446,135) -> Matrix(95,-2,618,-13) Matrix(87,26,532,159) -> Matrix(87,-2,2132,-49) Matrix(3617,1076,1590,473) -> Matrix(85,-2,978,-23) Matrix(2027,602,266,79) -> Matrix(169,-4,634,-15) Matrix(883,262,792,235) -> Matrix(85,-2,1148,-27) Matrix(703,208,970,287) -> Matrix(253,-6,4006,-95) Matrix(2633,772,4560,1337) -> Matrix(329,-8,5552,-135) Matrix(1751,512,790,231) -> Matrix(83,-2,706,-17) Matrix(261,76,1226,357) -> Matrix(85,-2,1998,-47) Matrix(1483,430,438,127) -> Matrix(327,-8,2330,-57) Matrix(345,98,88,25) -> Matrix(83,-2,540,-13) Matrix(433,122,-2850,-803) -> Matrix(165,-4,5734,-139) Matrix(3537,994,1982,557) -> Matrix(1,0,-30,1) Matrix(2241,628,860,241) -> Matrix(165,-4,1444,-35) Matrix(601,168,948,265) -> Matrix(329,-8,5552,-135) Matrix(599,166,516,143) -> Matrix(81,-2,1256,-31) Matrix(427,118,2486,687) -> Matrix(325,-8,7922,-195) Matrix(29557,8166,18246,5041) -> Matrix(2107,-52,24190,-597) Matrix(6079,1678,2228,615) -> Matrix(565,-14,4964,-123) Matrix(3339,920,940,259) -> Matrix(157,-4,1060,-27) Matrix(3161,868,2480,681) -> Matrix(1,0,-28,1) Matrix(599,164,84,23) -> Matrix(161,-4,604,-15) Matrix(3317,898,1954,529) -> Matrix(1,0,-14,1) Matrix(1867,504,426,115) -> Matrix(89,-2,490,-11) Matrix(1951,524,592,159) -> Matrix(333,-8,2456,-59) Matrix(3725,998,2288,613) -> Matrix(247,-6,2676,-65) Matrix(3809,1020,6606,1769) -> Matrix(903,-22,15310,-373) Matrix(9649,2580,2876,769) -> Matrix(1631,-40,11784,-289) Matrix(10039,2662,4220,1119) -> Matrix(407,-10,3948,-97) Matrix(9109,2414,6328,1677) -> Matrix(731,-18,9300,-229) Matrix(3285,868,2108,557) -> Matrix(1,0,-28,1) Matrix(419,110,758,199) -> Matrix(321,-8,5738,-143) Matrix(1929,502,1172,305) -> Matrix(79,-2,988,-25) Matrix(1335,344,586,151) -> Matrix(79,-2,830,-21) Matrix(977,234,572,137) -> Matrix(77,-2,1040,-27) Matrix(1383,328,974,231) -> Matrix(75,-2,938,-25) Matrix(3485,818,1538,361) -> Matrix(1,0,-22,1) Matrix(1215,284,646,151) -> Matrix(79,-2,830,-21) Matrix(2669,622,1858,433) -> Matrix(1,0,-26,1) Matrix(4603,1068,7426,1723) -> Matrix(81,-2,1418,-35) Matrix(14009,3220,5956,1369) -> Matrix(2927,-76,27768,-721) Matrix(24869,5710,15370,3529) -> Matrix(769,-20,8882,-231) Matrix(2573,590,1208,277) -> Matrix(229,-6,2252,-59) Matrix(4663,1068,1288,295) -> Matrix(1,0,-32,1) Matrix(8679,1982,4900,1119) -> Matrix(387,-10,4528,-117) Matrix(31573,7206,13254,3025) -> Matrix(2619,-68,24842,-645) Matrix(3535,806,1364,311) -> Matrix(77,-2,424,-11) Matrix(1041,236,322,73) -> Matrix(229,-6,1794,-47) Matrix(559,126,1362,307) -> Matrix(761,-20,15182,-399) Matrix(317,70,240,53) -> Matrix(75,-2,1088,-29) Matrix(3409,744,1984,433) -> Matrix(147,-4,1948,-53) Matrix(3407,742,1428,311) -> Matrix(69,-2,656,-19) Matrix(1741,378,1110,241) -> Matrix(151,-4,1850,-49) Matrix(8625,1868,12268,2657) -> Matrix(443,-12,7568,-205) Matrix(315,68,1978,427) -> Matrix(75,-2,1838,-49) Matrix(3557,766,1342,289) -> Matrix(1,0,-26,1) Matrix(6455,1372,9292,1975) -> Matrix(159,-4,2584,-65) Matrix(3543,752,2596,551) -> Matrix(153,-4,2104,-55) Matrix(3619,766,2830,599) -> Matrix(303,-8,3674,-97) Matrix(9199,1944,4008,847) -> Matrix(151,-4,1548,-41) Matrix(2435,514,1966,415) -> Matrix(151,-4,1850,-49) Matrix(1021,214,1646,345) -> Matrix(299,-8,5270,-141) Matrix(627,130,1172,243) -> Matrix(223,-6,4200,-113) Matrix(3205,662,702,145) -> Matrix(743,-20,4198,-113) Matrix(545,112,1562,321) -> Matrix(963,-26,20186,-545) Matrix(921,176,382,73) -> Matrix(221,-6,2026,-55) Matrix(1451,274,842,159) -> Matrix(291,-8,3674,-101) Matrix(991,184,684,127) -> Matrix(289,-8,3432,-95) Matrix(379,70,1294,239) -> Matrix(865,-24,18994,-527) Matrix(983,176,754,135) -> Matrix(71,-2,1314,-37) Matrix(3923,698,1658,295) -> Matrix(1,0,-26,1) Matrix(3537,622,1052,185) -> Matrix(221,-6,1584,-43) Matrix(5933,1034,3678,641) -> Matrix(285,-8,3242,-91) Matrix(3677,638,974,169) -> Matrix(711,-20,4586,-129) Matrix(225,38,148,25) -> Matrix(71,-2,888,-25) Matrix(517,82,662,105) -> Matrix(139,-4,2398,-69) Matrix(1251,196,734,115) -> Matrix(69,-2,1070,-31) Matrix(2705,412,952,145) -> Matrix(693,-20,5648,-163) Matrix(3725,562,802,121) -> Matrix(1243,-36,6802,-197) Matrix(509,76,730,109) -> Matrix(69,-2,1070,-31) Matrix(501,68,862,117) -> Matrix(203,-6,3282,-97) Matrix(1927,254,1358,179) -> Matrix(135,-4,1654,-49) Matrix(923,118,1494,191) -> Matrix(269,-8,4674,-139) Matrix(211,26,284,35) -> Matrix(67,-2,972,-29) Matrix(2523,292,1754,203) -> Matrix(463,-14,5986,-181) Matrix(209,24,1402,161) -> Matrix(1123,-34,28042,-849) Matrix(347,38,210,23) -> Matrix(131,-4,1474,-45) Matrix(1991,192,1234,119) -> Matrix(323,-10,3650,-113) Matrix(469,34,400,29) -> Matrix(63,-2,788,-25) Matrix(393,-40,226,-23) -> Matrix(157,-6,1858,-71) Matrix(775,-92,278,-33) -> Matrix(155,-6,1266,-49) Matrix(2139,-278,1208,-157) -> Matrix(355,-14,4184,-165) Matrix(327,-44,602,-81) -> Matrix(253,-10,4630,-183) Matrix(217,-32,1458,-215) -> Matrix(1151,-46,28750,-1149) Matrix(2047,-308,432,-65) -> Matrix(399,-16,2020,-81) Matrix(431,-66,1182,-181) -> Matrix(497,-20,10114,-407) Matrix(591,-92,1394,-217) -> Matrix(247,-10,4866,-197) Matrix(4121,-714,2326,-403) -> Matrix(583,-24,6826,-281) Matrix(2111,-368,740,-129) -> Matrix(191,-8,1552,-65) Matrix(3481,-610,1478,-259) -> Matrix(295,-12,2778,-113) Matrix(473,-84,580,-103) -> Matrix(97,-4,1528,-63) Matrix(523,-96,158,-29) -> Matrix(243,-10,1774,-73) Matrix(939,-178,364,-69) -> Matrix(241,-10,1904,-79) Matrix(821,-172,358,-75) -> Matrix(47,-2,494,-21) Matrix(2047,-432,308,-65) -> Matrix(383,-16,1556,-65) Matrix(2199,-466,1024,-217) -> Matrix(427,-18,4104,-173) Matrix(1173,-254,254,-55) -> Matrix(375,-16,2086,-89) Matrix(559,-122,866,-189) -> Matrix(93,-4,1558,-67) Matrix(303,-68,254,-57) -> Matrix(47,-2,682,-29) Matrix(253,-58,554,-127) -> Matrix(187,-8,3670,-157) Matrix(2311,-540,1408,-329) -> Matrix(93,-4,1000,-43) Matrix(953,-226,350,-83) -> Matrix(277,-12,2470,-107) Matrix(1919,-498,3102,-805) -> Matrix(1,0,-6,1) Matrix(1327,-348,3634,-953) -> Matrix(43,-2,882,-41) Matrix(931,-246,246,-65) -> Matrix(181,-8,1154,-51) Matrix(1125,-302,488,-131) -> Matrix(45,-2,428,-19) Matrix(1661,-448,634,-171) -> Matrix(45,-2,338,-15) Matrix(437,-120,244,-67) -> Matrix(91,-4,1024,-45) Matrix(437,-122,1114,-311) -> Matrix(359,-16,7382,-329) Matrix(727,-204,1258,-353) -> Matrix(313,-14,5254,-235) Matrix(337,-98,1152,-335) -> Matrix(749,-34,16456,-747) Matrix(3923,-1160,1532,-453) -> Matrix(1137,-52,9424,-431) Matrix(3489,-1036,2152,-639) -> Matrix(437,-20,4960,-227) Matrix(4299,-1280,6116,-1821) -> Matrix(959,-44,16412,-753) Matrix(669,-200,572,-171) -> Matrix(87,-4,1240,-57) Matrix(523,-158,96,-29) -> Matrix(217,-10,1020,-47) Matrix(2185,-666,666,-203) -> Matrix(689,-32,5146,-239) Matrix(2753,-842,1710,-523) -> Matrix(343,-16,3966,-185) Matrix(1701,-530,1088,-339) -> Matrix(39,-2,488,-25) Matrix(661,-208,518,-163) -> Matrix(43,-2,538,-25) Matrix(369,-128,1058,-367) -> Matrix(631,-30,13230,-629) Matrix(2111,-740,368,-129) -> Matrix(167,-8,856,-41) Matrix(3715,-1306,3166,-1113) -> Matrix(167,-8,1858,-89) Matrix(1465,-518,642,-227) -> Matrix(83,-4,934,-45) Matrix(2011,-716,778,-277) -> Matrix(207,-10,1594,-77) Matrix(685,-246,866,-311) -> Matrix(83,-4,1266,-61) Matrix(365,-132,318,-115) -> Matrix(41,-2,718,-35) Matrix(4859,-1776,3450,-1261) -> Matrix(365,-18,4522,-223) Matrix(4175,-1528,5992,-2193) -> Matrix(81,-4,1276,-63) Matrix(4811,-1762,3312,-1213) -> Matrix(121,-6,1432,-71) Matrix(953,-350,226,-83) -> Matrix(241,-12,1426,-71) Matrix(317,-118,180,-67) -> Matrix(41,-2,472,-23) Matrix(1305,-494,494,-187) -> Matrix(1,0,-14,1) Matrix(763,-290,1034,-393) -> Matrix(1,0,-6,1) Matrix(1661,-634,448,-171) -> Matrix(43,-2,280,-13) Matrix(5875,-2248,2062,-789) -> Matrix(537,-26,4358,-211) Matrix(5559,-2128,1570,-601) -> Matrix(371,-18,2494,-121) Matrix(4123,-1580,1704,-653) -> Matrix(167,-8,1524,-73) Matrix(2549,-984,1790,-691) -> Matrix(45,-2,518,-23) Matrix(2011,-778,716,-277) -> Matrix(213,-10,1768,-83) Matrix(939,-364,178,-69) -> Matrix(211,-10,1034,-49) Matrix(893,-348,1650,-643) -> Matrix(291,-14,5342,-257) Matrix(3923,-1532,1160,-453) -> Matrix(1077,-52,7684,-371) Matrix(397,-162,968,-395) -> Matrix(521,-26,10400,-519) Matrix(2327,-960,526,-217) -> Matrix(119,-6,734,-37) Matrix(4123,-1704,1580,-653) -> Matrix(159,-8,1292,-65) Matrix(3813,-1580,2324,-963) -> Matrix(79,-4,968,-49) Matrix(1837,-768,830,-347) -> Matrix(197,-10,1714,-87) Matrix(2273,-952,4238,-1775) -> Matrix(667,-34,12418,-633) Matrix(4061,-1704,1704,-715) -> Matrix(469,-24,4436,-227) Matrix(3579,-1504,2620,-1101) -> Matrix(155,-8,2112,-109) Matrix(4709,-1986,6760,-2851) -> Matrix(39,-2,644,-33) Matrix(24287,-10248,6714,-2833) -> Matrix(119,-6,734,-37) Matrix(12773,-5392,3532,-1491) -> Matrix(235,-12,1508,-77) Matrix(3399,-1436,2180,-921) -> Matrix(79,-4,968,-49) Matrix(4051,-1716,6924,-2933) -> Matrix(79,-4,1284,-65) Matrix(3481,-1478,610,-259) -> Matrix(235,-12,1038,-53) Matrix(609,-260,260,-111) -> Matrix(155,-8,1492,-77) Matrix(1125,-488,302,-131) -> Matrix(39,-2,254,-13) Matrix(821,-358,172,-75) -> Matrix(37,-2,204,-11) Matrix(1465,-642,518,-227) -> Matrix(71,-4,586,-33) Matrix(3101,-1362,4524,-1987) -> Matrix(109,-6,1944,-107) Matrix(1075,-474,474,-209) -> Matrix(1,0,-6,1) Matrix(557,-250,684,-307) -> Matrix(41,-2,636,-31) Matrix(1837,-830,768,-347) -> Matrix(203,-10,1888,-93) Matrix(3981,-1846,1102,-511) -> Matrix(79,-4,494,-25) Matrix(2199,-1024,466,-217) -> Matrix(349,-18,1842,-95) Matrix(589,-278,464,-219) -> Matrix(115,-6,1476,-77) Matrix(447,-236,608,-321) -> Matrix(75,-4,1144,-61) Matrix(6293,-3378,1332,-715) -> Matrix(705,-38,3692,-199) Matrix(3221,-1740,1368,-739) -> Matrix(223,-12,2100,-113) Matrix(441,-242,800,-439) -> Matrix(325,-18,5832,-323) Matrix(437,-244,120,-67) -> Matrix(71,-4,444,-25) Matrix(317,-180,118,-67) -> Matrix(35,-2,298,-17) Matrix(393,-226,40,-23) -> Matrix(103,-6,292,-17) Matrix(4013,-2312,6962,-4011) -> Matrix(851,-50,14450,-849) Matrix(12733,-7354,4874,-2815) -> Matrix(337,-20,2814,-167) Matrix(1021,-592,902,-523) -> Matrix(33,-2,314,-19) Matrix(7683,-4468,2980,-1733) -> Matrix(385,-24,3064,-191) Matrix(1291,-754,940,-549) -> Matrix(29,-2,392,-27) Matrix(5155,-3028,1602,-941) -> Matrix(27,-2,230,-17) Matrix(195,-116,116,-69) -> Matrix(1,0,-8,1) Matrix(1467,-890,2006,-1217) -> Matrix(1,0,-2,1) Matrix(1697,-1032,1156,-703) -> Matrix(1,0,-8,1) Matrix(2311,-1408,540,-329) -> Matrix(73,-4,420,-23) Matrix(3157,-1926,1926,-1175) -> Matrix(1,0,-6,1) Matrix(653,-400,462,-283) -> Matrix(35,-2,438,-25) Matrix(3489,-2152,1036,-639) -> Matrix(353,-20,2524,-143) Matrix(5405,-3336,3336,-2059) -> Matrix(421,-24,4824,-275) Matrix(18469,-11414,11228,-6939) -> Matrix(35,-2,368,-21) Matrix(21305,-13168,13602,-8407) -> Matrix(591,-34,7318,-421) Matrix(8161,-5046,5976,-3695) -> Matrix(241,-14,3288,-191) Matrix(21797,-13482,9576,-5923) -> Matrix(101,-6,1128,-67) Matrix(2753,-1710,842,-523) -> Matrix(279,-16,2110,-121) Matrix(457,-288,722,-455) -> Matrix(239,-14,4046,-237) Matrix(7341,-4688,4502,-2875) -> Matrix(33,-2,446,-27) Matrix(1701,-1088,530,-339) -> Matrix(33,-2,314,-19) Matrix(2797,-1792,2040,-1307) -> Matrix(67,-4,888,-53) Matrix(3399,-2180,1436,-921) -> Matrix(67,-4,620,-37) Matrix(10747,-6924,6862,-4421) -> Matrix(27,-2,338,-25) Matrix(791,-510,76,-49) -> Matrix(35,-2,88,-5) Matrix(1957,-1268,338,-219) -> Matrix(227,-14,1054,-65) Matrix(2143,-1392,1578,-1025) -> Matrix(31,-2,450,-29) Matrix(639,-416,788,-513) -> Matrix(1,0,0,1) Matrix(773,-528,590,-403) -> Matrix(37,-2,574,-31) Matrix(4379,-3000,1140,-781) -> Matrix(215,-12,1308,-73) Matrix(1875,-1288,1102,-757) -> Matrix(35,-2,578,-33) Matrix(4811,-3312,1762,-1213) -> Matrix(103,-6,910,-53) Matrix(8075,-5564,3084,-2125) -> Matrix(139,-8,1060,-61) Matrix(3515,-2438,2562,-1777) -> Matrix(199,-12,2670,-161) Matrix(4941,-3430,1756,-1219) -> Matrix(559,-34,4620,-281) Matrix(2633,-1830,3256,-2263) -> Matrix(97,-6,1536,-95) Matrix(2549,-1790,984,-691) -> Matrix(35,-2,228,-13) Matrix(11175,-7858,3022,-2125) -> Matrix(477,-28,3322,-195) Matrix(11029,-7758,2984,-2099) -> Matrix(441,-26,3104,-183) Matrix(653,-462,400,-283) -> Matrix(33,-2,380,-23) Matrix(469,-338,648,-467) -> Matrix(161,-10,2560,-159) Matrix(2797,-2040,1792,-1307) -> Matrix(63,-4,772,-49) Matrix(1755,-1282,538,-393) -> Matrix(123,-8,938,-61) Matrix(3579,-2620,1504,-1101) -> Matrix(123,-8,1184,-77) Matrix(5359,-3942,1214,-893) -> Matrix(61,-4,290,-19) Matrix(2143,-1578,1392,-1025) -> Matrix(29,-2,392,-27) Matrix(1141,-844,534,-395) -> Matrix(33,-2,314,-19) Matrix(773,-590,528,-403) -> Matrix(27,-2,284,-21) Matrix(2177,-1668,1544,-1183) -> Matrix(47,-4,576,-49) Matrix(315,-244,244,-189) -> Matrix(1,0,-8,1) Matrix(6439,-5032,2366,-1849) -> Matrix(375,-22,3358,-197) Matrix(661,-518,208,-163) -> Matrix(33,-2,248,-15) Matrix(589,-464,278,-219) -> Matrix(97,-6,954,-59) Matrix(4265,-3362,5408,-4263) -> Matrix(353,-22,5632,-351) Matrix(277,-220,34,-27) -> Matrix(29,-2,102,-7) Matrix(4843,-3900,1854,-1493) -> Matrix(27,-2,230,-17) Matrix(477,-392,578,-475) -> Matrix(91,-6,1350,-89) Matrix(303,-254,68,-57) -> Matrix(29,-2,160,-11) Matrix(1811,-1538,670,-569) -> Matrix(1,0,-2,1) Matrix(1809,-1540,1540,-1311) -> Matrix(1,0,-8,1) Matrix(669,-572,200,-171) -> Matrix(59,-4,428,-29) Matrix(365,-318,132,-115) -> Matrix(23,-2,196,-17) Matrix(1021,-902,592,-523) -> Matrix(39,-2,488,-25) Matrix(423,-382,196,-177) -> Matrix(29,-2,276,-19) Matrix(535,-582,148,-161) -> Matrix(27,-2,176,-13) Matrix(1453,-1648,842,-955) -> Matrix(11,-2,138,-25) Matrix(7639,-8978,6498,-7637) -> Matrix(1,0,42,1) Matrix(1111,-1308,626,-737) -> Matrix(37,-2,426,-23) Matrix(965,-1142,398,-471) -> Matrix(119,-8,1086,-73) Matrix(477,-578,392,-475) -> Matrix(85,-6,1176,-83) Matrix(473,-580,84,-103) -> Matrix(53,-4,252,-19) Matrix(639,-788,416,-513) -> Matrix(1,0,0,1) Matrix(2633,-3256,1830,-2263) -> Matrix(79,-6,1014,-77) Matrix(387,-482,110,-137) -> Matrix(53,-4,358,-27) Matrix(685,-866,246,-311) -> Matrix(55,-4,454,-33) Matrix(4265,-5408,3362,-4263) -> Matrix(287,-22,3718,-285) Matrix(4315,-5482,1638,-2081) -> Matrix(51,-4,370,-29) Matrix(845,-1078,272,-347) -> Matrix(25,-2,188,-15) Matrix(2503,-3202,598,-765) -> Matrix(337,-28,2010,-167) Matrix(1891,-2450,1458,-1889) -> Matrix(1,0,46,1) Matrix(1883,-2458,1156,-1509) -> Matrix(35,-2,368,-21) Matrix(1851,-2428,1126,-1477) -> Matrix(31,-2,326,-21) Matrix(763,-1034,290,-393) -> Matrix(1,0,-6,1) Matrix(11119,-15106,2892,-3929) -> Matrix(365,-26,2176,-155) Matrix(11513,-15644,2996,-4071) -> Matrix(447,-32,2696,-193) Matrix(5597,-7608,1656,-2251) -> Matrix(665,-48,4752,-343) Matrix(447,-608,236,-321) -> Matrix(55,-4,564,-41) Matrix(1467,-2006,890,-1217) -> Matrix(1,0,-2,1) Matrix(2485,-3404,1544,-2115) -> Matrix(107,-8,1244,-93) Matrix(469,-648,338,-467) -> Matrix(131,-10,1690,-129) Matrix(2421,-3406,1546,-2175) -> Matrix(101,-8,1250,-99) Matrix(7673,-10804,2806,-3951) -> Matrix(373,-30,3270,-263) Matrix(10855,-15432,4148,-5897) -> Matrix(337,-28,2684,-223) Matrix(9241,-13142,3532,-5023) -> Matrix(311,-26,2500,-209) Matrix(4299,-6116,1280,-1821) -> Matrix(523,-44,3768,-317) Matrix(4175,-5992,1528,-2193) -> Matrix(53,-4,464,-35) Matrix(4471,-6440,1728,-2489) -> Matrix(151,-12,1120,-89) Matrix(2387,-3442,1396,-2013) -> Matrix(25,-2,288,-23) Matrix(2049,-2974,556,-807) -> Matrix(23,-2,196,-17) Matrix(2271,-3310,706,-1029) -> Matrix(45,-4,394,-35) Matrix(3101,-4524,1362,-1987) -> Matrix(67,-6,726,-65) Matrix(4139,-6092,2558,-3765) -> Matrix(21,-2,242,-23) Matrix(16887,-26018,7418,-11429) -> Matrix(365,-28,4002,-307) Matrix(17273,-26622,7588,-11695) -> Matrix(389,-30,4292,-331) Matrix(2853,-4400,1610,-2483) -> Matrix(283,-22,3306,-257) Matrix(559,-866,122,-189) -> Matrix(49,-4,282,-23) Matrix(2857,-4460,1670,-2607) -> Matrix(25,-2,338,-27) Matrix(4569,-7148,2684,-4199) -> Matrix(49,-4,772,-63) Matrix(457,-722,288,-455) -> Matrix(169,-14,2016,-167) Matrix(1919,-3102,498,-805) -> Matrix(1,0,-6,1) Matrix(3885,-6284,1634,-2643) -> Matrix(23,-2,242,-21) Matrix(10373,-16782,2274,-3679) -> Matrix(419,-36,2386,-205) Matrix(16331,-26450,10082,-16329) -> Matrix(1197,-104,13754,-1195) Matrix(4233,-6866,1844,-2991) -> Matrix(23,-2,196,-17) Matrix(4903,-7992,1792,-2921) -> Matrix(37,-4,324,-35) Matrix(4831,-7880,1060,-1729) -> Matrix(41,-4,236,-23) Matrix(1551,-2540,494,-809) -> Matrix(21,-2,158,-15) Matrix(2867,-4698,916,-1501) -> Matrix(25,-2,188,-15) Matrix(1795,-3042,1058,-1793) -> Matrix(1,0,30,1) Matrix(2037,-3482,320,-547) -> Matrix(23,-2,104,-9) Matrix(2029,-3488,388,-667) -> Matrix(365,-28,1812,-139) Matrix(9169,-15818,2798,-4827) -> Matrix(1451,-116,10870,-869) Matrix(727,-1258,204,-353) -> Matrix(171,-14,1136,-93) Matrix(4013,-6962,2312,-4011) -> Matrix(601,-50,7200,-599) Matrix(407,-710,90,-157) -> Matrix(1,0,-6,1) Matrix(2369,-4202,358,-635) -> Matrix(603,-52,2470,-213) Matrix(2363,-4210,490,-873) -> Matrix(1,0,-6,1) Matrix(2161,-3854,1002,-1787) -> Matrix(1,0,-2,1) Matrix(441,-800,242,-439) -> Matrix(199,-18,2178,-197) Matrix(327,-602,44,-81) -> Matrix(107,-10,396,-37) Matrix(893,-1650,348,-643) -> Matrix(149,-14,1224,-115) Matrix(2273,-4238,952,-1775) -> Matrix(353,-34,3312,-319) Matrix(3759,-8084,1574,-3385) -> Matrix(745,-78,6982,-731) Matrix(253,-554,58,-127) -> Matrix(75,-8,422,-45) Matrix(1855,-4098,502,-1109) -> Matrix(107,-12,758,-85) Matrix(211,-472,38,-85) -> Matrix(19,-2,86,-9) Matrix(1635,-3698,722,-1633) -> Matrix(1,0,14,1) Matrix(4081,-9374,1128,-2591) -> Matrix(19,-2,124,-13) Matrix(731,-1688,262,-605) -> Matrix(19,-2,162,-17) Matrix(6439,-15138,2738,-6437) -> Matrix(1445,-152,13718,-1443) Matrix(591,-1394,92,-217) -> Matrix(93,-10,400,-43) Matrix(3901,-9242,810,-1919) -> Matrix(75,-8,422,-45) Matrix(3183,-7544,662,-1569) -> Matrix(19,-2,86,-9) Matrix(2813,-6672,1030,-2443) -> Matrix(55,-6,486,-53) Matrix(14411,-34322,6050,-14409) -> Matrix(1293,-136,12274,-1291) Matrix(20057,-47894,4246,-10139) -> Matrix(2663,-284,13962,-1489) Matrix(4261,-10184,1628,-3891) -> Matrix(299,-32,2364,-253) Matrix(853,-2060,200,-483) -> Matrix(221,-24,1280,-139) Matrix(3061,-7416,906,-2195) -> Matrix(895,-98,6402,-701) Matrix(397,-968,162,-395) -> Matrix(235,-26,2106,-233) Matrix(437,-1114,122,-311) -> Matrix(135,-16,886,-105) Matrix(2073,-5306,470,-1203) -> Matrix(133,-16,690,-83) Matrix(1583,-4060,278,-713) -> Matrix(115,-14,534,-65) Matrix(3485,-8978,1352,-3483) -> Matrix(337,-42,2688,-335) Matrix(4529,-11714,1608,-4159) -> Matrix(287,-38,2364,-313) Matrix(7587,-19816,2146,-5605) -> Matrix(389,-46,2630,-311) Matrix(2059,-5382,360,-941) -> Matrix(17,-2,60,-7) Matrix(463,-1212,34,-89) -> Matrix(47,-6,102,-13) Matrix(1531,-4050,578,-1529) -> Matrix(1,0,6,1) Matrix(2611,-7062,552,-1493) -> Matrix(65,-6,336,-31) Matrix(1639,-4438,284,-769) -> Matrix(97,-10,456,-47) Matrix(769,-2084,100,-271) -> Matrix(75,-8,272,-29) Matrix(3401,-9248,1250,-3399) -> Matrix(343,-38,3078,-341) Matrix(10923,-29872,3088,-8445) -> Matrix(1401,-160,9448,-1079) Matrix(13147,-35958,3718,-10169) -> Matrix(1679,-192,11342,-1297) Matrix(431,-1182,66,-181) -> Matrix(173,-20,718,-83) Matrix(22719,-63958,4810,-13541) -> Matrix(3829,-464,20094,-2435) Matrix(17191,-48404,3640,-10249) -> Matrix(2771,-336,14556,-1765) Matrix(2435,-6926,726,-2065) -> Matrix(813,-100,5878,-723) Matrix(369,-1058,128,-367) -> Matrix(241,-30,1920,-239) Matrix(5511,-18050,1682,-5509) -> Matrix(1621,-216,12150,-1619) Matrix(823,-2774,170,-573) -> Matrix(29,-4,138,-19) Matrix(337,-1152,98,-335) -> Matrix(239,-34,1666,-237) Matrix(1983,-7318,436,-1609) -> Matrix(103,-14,596,-81) Matrix(223,-832,26,-97) -> Matrix(41,-6,130,-19) Matrix(1275,-4802,338,-1273) -> Matrix(261,-40,1690,-259) Matrix(593,-2260,90,-343) -> Matrix(35,-6,146,-25) Matrix(301,-1250,72,-299) -> Matrix(229,-38,1368,-227) Matrix(1123,-5202,242,-1121) -> Matrix(397,-72,2178,-395) Matrix(261,-1352,50,-259) -> Matrix(211,-42,1050,-209) Matrix(217,-1458,32,-215) -> Matrix(185,-46,736,-183) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 240 Degree of the the map X: 240 Degree of the the map Y: 480 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- 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): 480 Minimal number of generators: 81 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: 30 Genus: 26 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 1/1 17/14 52/41 35/27 18/13 19/12 39/23 59/34 20/11 2/1 109/46 22/9 3/1 95/29 24/7 11/3 4/1 25/6 13/3 9/2 5/1 26/5 16/3 11/2 6/1 7/1 8/1 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 1/29 1/7 6/151 1/6 3/74 1/5 4/95 2/9 1/23 1/4 3/68 3/11 0/1 5/18 7/158 7/25 18/403 2/7 5/111 3/10 1/22 7/23 16/345 4/13 1/21 1/3 2/43 5/14 3/62 4/11 7/143 11/30 11/222 7/19 4/79 3/8 1/20 5/13 0/1 12/31 1/21 7/18 7/146 2/5 3/61 5/12 1/20 8/19 3/59 11/26 3/58 3/7 4/77 4/9 1/21 5/11 6/119 6/13 1/19 1/2 1/18 5/9 4/71 4/7 1/17 15/26 11/186 26/45 11/185 11/19 8/133 18/31 3/49 7/12 1/16 10/17 1/11 3/5 2/37 14/23 3/53 25/41 0/1 11/18 1/18 8/13 5/89 5/8 3/52 2/3 1/15 7/10 1/18 26/37 11/189 19/27 8/135 12/17 1/17 5/7 2/33 3/4 1/16 10/13 1/7 7/9 2/37 18/23 5/83 11/14 3/50 15/19 4/63 19/24 1/16 4/5 1/17 5/6 1/14 1/1 0/1 8/7 1/21 7/6 1/14 6/5 1/15 17/14 1/14 11/9 2/27 5/4 1/12 19/15 4/53 52/41 1/13 33/26 7/90 14/11 3/37 23/18 5/62 9/7 2/21 22/17 -1/1 35/27 0/1 13/10 1/22 4/3 1/13 11/8 3/40 18/13 1/13 7/5 2/25 31/22 5/62 24/17 3/35 17/12 1/12 27/19 8/97 10/7 1/11 3/2 1/14 11/7 4/49 19/12 1/12 8/5 3/35 13/8 5/56 44/27 1/9 31/19 0/1 18/11 1/11 23/14 3/34 5/3 2/21 22/13 1/3 39/23 0/1 17/10 1/18 12/7 1/13 31/18 3/38 19/11 8/99 26/15 11/133 59/34 1/12 33/19 14/167 7/4 1/12 16/9 5/57 25/14 5/58 9/5 4/45 20/11 1/11 11/6 5/54 2/1 1/11 11/5 6/55 9/4 1/8 7/3 4/39 26/11 3/29 45/19 2/19 109/46 3/28 64/27 1/9 19/8 3/28 12/5 1/9 17/7 10/91 22/9 1/9 5/2 3/26 13/5 0/1 34/13 7/57 21/8 1/8 8/3 1/9 11/4 7/60 25/9 8/67 39/14 7/58 14/5 3/25 3/1 2/15 13/4 1/8 36/11 19/143 95/29 2/15 59/18 35/262 23/7 16/119 10/3 1/7 17/5 12/85 24/7 1/7 7/2 5/34 18/5 7/45 11/3 0/1 4/1 3/19 25/6 1/6 21/5 16/95 17/4 13/76 13/3 10/57 9/2 1/6 14/3 5/27 19/4 1/4 5/1 4/21 26/5 1/5 21/4 17/84 16/3 1/5 11/2 3/14 6/1 3/13 7/1 6/23 8/1 5/17 9/1 8/25 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(0,-1,1,2) (-1/1,1/0) -> (-1/1,0/1) Parabolic Matrix(54,-7,193,-25) (0/1,1/7) -> (5/18,7/25) Hyperbolic Matrix(81,-13,106,-17) (1/7,1/6) -> (3/4,10/13) Hyperbolic Matrix(52,-9,133,-23) (1/6,1/5) -> (7/18,2/5) Hyperbolic Matrix(179,-39,101,-22) (1/5,2/9) -> (7/4,16/9) Hyperbolic Matrix(75,-17,203,-46) (2/9,1/4) -> (7/19,3/8) Hyperbolic Matrix(73,-19,50,-13) (1/4,3/11) -> (10/7,3/2) Hyperbolic Matrix(437,-120,244,-67) (3/11,5/18) -> (25/14,9/5) Hyperbolic Matrix(727,-204,1258,-353) (7/25,2/7) -> (26/45,11/19) Hyperbolic Matrix(240,-71,71,-21) (2/7,3/10) -> (10/3,17/5) Hyperbolic Matrix(524,-159,903,-274) (3/10,7/23) -> (11/19,18/31) Hyperbolic Matrix(499,-153,711,-218) (7/23,4/13) -> (7/10,26/37) Hyperbolic Matrix(283,-88,119,-37) (4/13,1/3) -> (19/8,12/5) Hyperbolic Matrix(161,-57,274,-97) (1/3,5/14) -> (7/12,10/17) Hyperbolic Matrix(136,-49,297,-107) (5/14,4/11) -> (5/11,6/13) Hyperbolic Matrix(523,-191,408,-149) (4/11,11/30) -> (23/18,9/7) Hyperbolic Matrix(953,-350,226,-83) (11/30,7/19) -> (21/5,17/4) Hyperbolic Matrix(134,-51,113,-43) (3/8,5/13) -> (7/6,6/5) Hyperbolic Matrix(1117,-432,649,-251) (5/13,12/31) -> (12/7,31/18) Hyperbolic Matrix(939,-364,178,-69) (12/31,7/18) -> (21/4,16/3) Hyperbolic Matrix(264,-109,109,-45) (2/5,5/12) -> (12/5,17/7) Hyperbolic Matrix(283,-119,88,-37) (5/12,8/19) -> (3/1,13/4) Hyperbolic Matrix(916,-387,1503,-635) (8/19,11/26) -> (14/23,25/41) Hyperbolic Matrix(545,-231,696,-295) (11/26,3/7) -> (18/23,11/14) Hyperbolic Matrix(173,-76,107,-47) (3/7,4/9) -> (8/5,13/8) Hyperbolic Matrix(149,-67,129,-58) (4/9,5/11) -> (8/7,7/6) Hyperbolic Matrix(233,-109,295,-138) (6/13,1/2) -> (15/19,19/24) Hyperbolic Matrix(40,-21,21,-11) (1/2,5/9) -> (11/6,2/1) Hyperbolic Matrix(179,-101,39,-22) (5/9,4/7) -> (9/2,14/3) Hyperbolic Matrix(413,-237,237,-136) (4/7,15/26) -> (33/19,7/4) Hyperbolic Matrix(1886,-1089,1337,-772) (15/26,26/45) -> (31/22,24/17) Hyperbolic Matrix(628,-365,117,-68) (18/31,7/12) -> (16/3,11/2) Hyperbolic Matrix(195,-116,116,-69) (10/17,3/5) -> (5/3,22/13) Hyperbolic Matrix(655,-398,367,-223) (3/5,14/23) -> (16/9,25/14) Hyperbolic Matrix(2966,-1809,1251,-763) (25/41,11/18) -> (64/27,19/8) Hyperbolic Matrix(653,-400,462,-283) (11/18,8/13) -> (24/17,17/12) Hyperbolic Matrix(173,-107,76,-47) (8/13,5/8) -> (9/4,7/3) Hyperbolic Matrix(57,-37,37,-24) (5/8,2/3) -> (3/2,11/7) Hyperbolic Matrix(73,-50,19,-13) (2/3,7/10) -> (11/3,4/1) Hyperbolic Matrix(2804,-1971,855,-601) (26/37,19/27) -> (59/18,23/7) Hyperbolic Matrix(163,-115,146,-103) (19/27,12/17) -> (1/1,8/7) Hyperbolic Matrix(653,-462,400,-283) (12/17,5/7) -> (31/19,18/11) Hyperbolic Matrix(72,-53,53,-39) (5/7,3/4) -> (4/3,11/8) Hyperbolic Matrix(315,-244,244,-189) (10/13,7/9) -> (9/7,22/17) Hyperbolic Matrix(452,-353,105,-82) (7/9,18/23) -> (17/4,13/3) Hyperbolic Matrix(728,-573,573,-451) (11/14,15/19) -> (33/26,14/11) Hyperbolic Matrix(1211,-960,743,-589) (19/24,4/5) -> (44/27,31/19) Hyperbolic Matrix(85,-69,69,-56) (4/5,5/6) -> (11/9,5/4) Hyperbolic Matrix(134,-113,51,-43) (5/6,1/1) -> (21/8,8/3) Hyperbolic Matrix(239,-289,196,-237) (6/5,17/14) -> (17/14,11/9) Parabolic Matrix(685,-866,246,-311) (5/4,19/15) -> (25/9,39/14) Hyperbolic Matrix(2133,-2704,1681,-2131) (19/15,52/41) -> (52/41,33/26) Parabolic Matrix(545,-696,231,-295) (14/11,23/18) -> (7/3,26/11) Hyperbolic Matrix(946,-1225,729,-944) (22/17,35/27) -> (35/27,13/10) Parabolic Matrix(81,-106,13,-17) (13/10,4/3) -> (6/1,7/1) Hyperbolic Matrix(235,-324,169,-233) (11/8,18/13) -> (18/13,7/5) Parabolic Matrix(503,-707,180,-253) (7/5,31/22) -> (39/14,14/5) Hyperbolic Matrix(807,-1145,308,-437) (17/12,27/19) -> (34/13,21/8) Hyperbolic Matrix(499,-711,153,-218) (27/19,10/7) -> (13/4,36/11) Hyperbolic Matrix(229,-361,144,-227) (11/7,19/12) -> (19/12,8/5) Parabolic Matrix(307,-500,35,-57) (13/8,44/27) -> (8/1,9/1) Hyperbolic Matrix(916,-1503,387,-635) (18/11,23/14) -> (26/11,45/19) Hyperbolic Matrix(281,-462,59,-97) (23/14,5/3) -> (19/4,5/1) Hyperbolic Matrix(898,-1521,529,-896) (22/13,39/23) -> (39/23,17/10) Parabolic Matrix(161,-274,57,-97) (17/10,12/7) -> (14/5,3/1) Hyperbolic Matrix(524,-903,159,-274) (31/18,19/11) -> (23/7,10/3) Hyperbolic Matrix(114,-197,11,-19) (19/11,26/15) -> (9/1,1/0) Hyperbolic Matrix(2007,-3481,1156,-2005) (26/15,59/34) -> (59/34,33/19) Parabolic Matrix(221,-400,121,-219) (9/5,20/11) -> (20/11,11/6) Parabolic Matrix(136,-297,49,-107) (2/1,11/5) -> (11/4,25/9) Hyperbolic Matrix(201,-449,77,-172) (11/5,9/4) -> (13/5,34/13) Hyperbolic Matrix(5015,-11881,2116,-5013) (45/19,109/46) -> (109/46,64/27) Parabolic Matrix(199,-484,81,-197) (17/7,22/9) -> (22/9,5/2) Parabolic Matrix(52,-133,9,-23) (5/2,13/5) -> (11/2,6/1) Hyperbolic Matrix(75,-203,17,-46) (8/3,11/4) -> (13/3,9/2) Hyperbolic Matrix(2756,-9025,841,-2754) (36/11,95/29) -> (95/29,59/18) Parabolic Matrix(169,-576,49,-167) (17/5,24/7) -> (24/7,7/2) Parabolic Matrix(54,-193,7,-25) (7/2,18/5) -> (7/1,8/1) Hyperbolic Matrix(127,-461,27,-98) (18/5,11/3) -> (14/3,19/4) Hyperbolic Matrix(151,-625,36,-149) (4/1,25/6) -> (25/6,21/5) Parabolic Matrix(131,-676,25,-129) (5/1,26/5) -> (26/5,21/4) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(0,-1,1,2) -> Matrix(1,0,29,1) Matrix(54,-7,193,-25) -> Matrix(127,-5,2845,-112) Matrix(81,-13,106,-17) -> Matrix(25,-1,326,-13) Matrix(52,-9,133,-23) -> Matrix(73,-3,1509,-62) Matrix(179,-39,101,-22) -> Matrix(70,-3,817,-35) Matrix(75,-17,203,-46) -> Matrix(24,-1,457,-19) Matrix(73,-19,50,-13) -> Matrix(23,-1,254,-11) Matrix(437,-120,244,-67) -> Matrix(91,-4,1024,-45) Matrix(727,-204,1258,-353) -> Matrix(313,-14,5254,-235) Matrix(240,-71,71,-21) -> Matrix(153,-7,1093,-50) Matrix(524,-159,903,-274) -> Matrix(173,-8,2833,-131) Matrix(499,-153,711,-218) -> Matrix(64,-3,1131,-53) Matrix(283,-88,119,-37) -> Matrix(20,-1,201,-10) Matrix(161,-57,274,-97) -> Matrix(21,-1,274,-13) Matrix(136,-49,297,-107) -> Matrix(103,-5,2019,-98) Matrix(523,-191,408,-149) -> Matrix(61,-3,712,-35) Matrix(953,-350,226,-83) -> Matrix(241,-12,1426,-71) Matrix(134,-51,113,-43) -> Matrix(21,-1,295,-14) Matrix(1117,-432,649,-251) -> Matrix(64,-3,811,-38) Matrix(939,-364,178,-69) -> Matrix(211,-10,1034,-49) Matrix(264,-109,109,-45) -> Matrix(139,-7,1271,-64) Matrix(283,-119,88,-37) -> Matrix(19,-1,172,-9) Matrix(916,-387,1503,-635) -> Matrix(59,-3,1023,-52) Matrix(545,-231,696,-295) -> Matrix(59,-3,964,-49) Matrix(173,-76,107,-47) -> Matrix(18,-1,217,-12) Matrix(149,-67,129,-58) -> Matrix(20,-1,301,-15) Matrix(233,-109,295,-138) -> Matrix(58,-3,909,-47) Matrix(40,-21,21,-11) -> Matrix(19,-1,191,-10) Matrix(179,-101,39,-22) -> Matrix(52,-3,295,-17) Matrix(413,-237,237,-136) -> Matrix(52,-3,607,-35) Matrix(1886,-1089,1337,-772) -> Matrix(135,-8,1637,-97) Matrix(628,-365,117,-68) -> Matrix(97,-6,469,-29) Matrix(195,-116,116,-69) -> Matrix(1,0,-8,1) Matrix(655,-398,367,-223) -> Matrix(16,-1,193,-12) Matrix(2966,-1809,1251,-763) -> Matrix(53,-3,495,-28) Matrix(653,-400,462,-283) -> Matrix(35,-2,438,-25) Matrix(173,-107,76,-47) -> Matrix(17,-1,188,-11) Matrix(57,-37,37,-24) -> Matrix(16,-1,209,-13) Matrix(73,-50,19,-13) -> Matrix(18,-1,109,-6) Matrix(2804,-1971,855,-601) -> Matrix(325,-19,2429,-142) Matrix(163,-115,146,-103) -> Matrix(17,-1,222,-13) Matrix(653,-462,400,-283) -> Matrix(33,-2,380,-23) Matrix(72,-53,53,-39) -> Matrix(15,-1,211,-14) Matrix(315,-244,244,-189) -> Matrix(1,0,-8,1) Matrix(452,-353,105,-82) -> Matrix(69,-4,397,-23) Matrix(728,-573,573,-451) -> Matrix(49,-3,621,-38) Matrix(1211,-960,743,-589) -> Matrix(16,-1,161,-10) Matrix(85,-69,69,-56) -> Matrix(16,-1,209,-13) Matrix(134,-113,51,-43) -> Matrix(15,-1,121,-8) Matrix(239,-289,196,-237) -> Matrix(43,-3,588,-41) Matrix(685,-866,246,-311) -> Matrix(55,-4,454,-33) Matrix(2133,-2704,1681,-2131) -> Matrix(144,-11,1859,-142) Matrix(545,-696,231,-295) -> Matrix(38,-3,355,-28) Matrix(946,-1225,729,-944) -> Matrix(1,0,23,1) Matrix(81,-106,13,-17) -> Matrix(16,-1,65,-4) Matrix(235,-324,169,-233) -> Matrix(66,-5,845,-64) Matrix(503,-707,180,-253) -> Matrix(11,-1,100,-9) Matrix(807,-1145,308,-437) -> Matrix(13,-1,92,-7) Matrix(499,-711,153,-218) -> Matrix(34,-3,261,-23) Matrix(229,-361,144,-227) -> Matrix(85,-7,1008,-83) Matrix(307,-500,35,-57) -> Matrix(32,-3,107,-10) Matrix(916,-1503,387,-635) -> Matrix(35,-3,327,-28) Matrix(281,-462,59,-97) -> Matrix(10,-1,61,-6) Matrix(898,-1521,529,-896) -> Matrix(1,0,15,1) Matrix(161,-274,57,-97) -> Matrix(16,-1,129,-8) Matrix(524,-903,159,-274) -> Matrix(101,-8,745,-59) Matrix(114,-197,11,-19) -> Matrix(37,-3,99,-8) Matrix(2007,-3481,1156,-2005) -> Matrix(301,-25,3600,-299) Matrix(221,-400,121,-219) -> Matrix(100,-9,1089,-98) Matrix(136,-297,49,-107) -> Matrix(47,-5,395,-42) Matrix(201,-449,77,-172) -> Matrix(8,-1,73,-9) Matrix(5015,-11881,2116,-5013) -> Matrix(85,-9,784,-83) Matrix(199,-484,81,-197) -> Matrix(118,-13,1053,-116) Matrix(52,-133,9,-23) -> Matrix(25,-3,117,-14) Matrix(75,-203,17,-46) -> Matrix(10,-1,51,-5) Matrix(2756,-9025,841,-2754) -> Matrix(811,-108,6075,-809) Matrix(169,-576,49,-167) -> Matrix(120,-17,833,-118) Matrix(54,-193,7,-25) -> Matrix(33,-5,119,-18) Matrix(127,-461,27,-98) -> Matrix(32,-5,173,-27) Matrix(151,-625,36,-149) -> Matrix(115,-19,684,-113) Matrix(131,-676,25,-129) -> Matrix(106,-21,525,-104) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 1 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 1 Number of equivalence classes of cusps: 1 Genus: 0 Degree of H/liftables -> H/(image of liftables): 240 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 0/1 29 1 1/1 0/1 1 31 6/5 1/15 1 31 17/14 1/14 3 1 5/4 1/12 1 31 19/15 4/53 1 31 52/41 1/13 11 1 14/11 3/37 1 31 23/18 5/62 1 31 9/7 2/21 1 31 35/27 0/1 23 1 13/10 1/22 1 31 4/3 1/13 1 31 18/13 1/13 5 1 7/5 2/25 1 31 17/12 1/12 1 31 27/19 8/97 1 31 10/7 1/11 1 31 3/2 1/14 1 31 19/12 1/12 7 1 8/5 3/35 1 31 13/8 5/56 1 31 44/27 1/9 1 31 31/19 0/1 1 31 18/11 1/11 1 31 23/14 3/34 1 31 5/3 2/21 1 31 39/23 0/1 15 1 17/10 1/18 1 31 12/7 1/13 1 31 31/18 3/38 1 31 19/11 8/99 1 31 26/15 11/133 1 31 59/34 1/12 25 1 7/4 1/12 1 31 9/5 4/45 1 31 20/11 1/11 9 1 2/1 1/11 1 31 11/5 6/55 1 31 9/4 1/8 1 31 7/3 4/39 1 31 26/11 3/29 1 31 45/19 2/19 1 31 109/46 3/28 1 1 19/8 3/28 1 31 12/5 1/9 1 31 22/9 1/9 13 1 5/2 3/26 1 31 13/5 0/1 1 31 34/13 7/57 1 31 21/8 1/8 1 31 8/3 1/9 1 31 11/4 7/60 1 31 25/9 8/67 1 31 39/14 7/58 1 31 14/5 3/25 1 31 3/1 2/15 1 31 13/4 1/8 1 31 36/11 19/143 1 31 95/29 2/15 27 1 23/7 16/119 1 31 10/3 1/7 1 31 24/7 1/7 17 1 7/2 5/34 1 31 18/5 7/45 1 31 11/3 0/1 1 31 4/1 3/19 1 31 25/6 1/6 19 1 17/4 13/76 1 31 13/3 10/57 1 31 9/2 1/6 1 31 14/3 5/27 1 31 19/4 1/4 1 31 5/1 4/21 1 31 26/5 1/5 21 1 16/3 1/5 1 31 11/2 3/14 1 31 6/1 3/13 1 31 7/1 6/23 1 31 8/1 5/17 1 31 9/1 8/25 1 31 1/0 1/0 1 31 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(0,1,1,0) (-1/1,1/1) -> (-1/1,1/1) Reflection Matrix(113,-134,43,-51) (1/1,6/5) -> (21/8,8/3) Glide Reflection Matrix(169,-204,140,-169) (6/5,17/14) -> (6/5,17/14) Reflection Matrix(69,-85,56,-69) (17/14,5/4) -> (17/14,5/4) Reflection Matrix(685,-866,246,-311) (5/4,19/15) -> (25/9,39/14) Hyperbolic Matrix(1559,-1976,1230,-1559) (19/15,52/41) -> (19/15,52/41) Reflection Matrix(573,-728,451,-573) (52/41,14/11) -> (52/41,14/11) Reflection Matrix(545,-696,231,-295) (14/11,23/18) -> (7/3,26/11) Hyperbolic Matrix(353,-452,82,-105) (23/18,9/7) -> (17/4,13/3) Glide Reflection Matrix(244,-315,189,-244) (9/7,35/27) -> (9/7,35/27) Reflection Matrix(701,-910,540,-701) (35/27,13/10) -> (35/27,13/10) Reflection Matrix(81,-106,13,-17) (13/10,4/3) -> (6/1,7/1) Hyperbolic Matrix(53,-72,39,-53) (4/3,18/13) -> (4/3,18/13) Reflection Matrix(181,-252,130,-181) (18/13,7/5) -> (18/13,7/5) Reflection Matrix(462,-653,283,-400) (7/5,17/12) -> (31/19,18/11) Glide Reflection Matrix(807,-1145,308,-437) (17/12,27/19) -> (34/13,21/8) Hyperbolic Matrix(499,-711,153,-218) (27/19,10/7) -> (13/4,36/11) Hyperbolic Matrix(50,-73,13,-19) (10/7,3/2) -> (11/3,4/1) Glide Reflection Matrix(37,-57,24,-37) (3/2,19/12) -> (3/2,19/12) Reflection Matrix(191,-304,120,-191) (19/12,8/5) -> (19/12,8/5) Reflection Matrix(107,-173,47,-76) (8/5,13/8) -> (9/4,7/3) Glide Reflection Matrix(307,-500,35,-57) (13/8,44/27) -> (8/1,9/1) Hyperbolic Matrix(1119,-1825,401,-654) (44/27,31/19) -> (39/14,14/5) Glide Reflection Matrix(916,-1503,387,-635) (18/11,23/14) -> (26/11,45/19) Hyperbolic Matrix(281,-462,59,-97) (23/14,5/3) -> (19/4,5/1) Hyperbolic Matrix(116,-195,69,-116) (5/3,39/23) -> (5/3,39/23) Reflection Matrix(781,-1326,460,-781) (39/23,17/10) -> (39/23,17/10) Reflection Matrix(161,-274,57,-97) (17/10,12/7) -> (14/5,3/1) Hyperbolic Matrix(365,-628,68,-117) (12/7,31/18) -> (16/3,11/2) Glide Reflection Matrix(524,-903,159,-274) (31/18,19/11) -> (23/7,10/3) Hyperbolic Matrix(114,-197,11,-19) (19/11,26/15) -> (9/1,1/0) Hyperbolic Matrix(1769,-3068,1020,-1769) (26/15,59/34) -> (26/15,59/34) Reflection Matrix(237,-413,136,-237) (59/34,7/4) -> (59/34,7/4) Reflection Matrix(101,-179,22,-39) (7/4,9/5) -> (9/2,14/3) Glide Reflection Matrix(199,-360,110,-199) (9/5,20/11) -> (9/5,20/11) Reflection Matrix(21,-40,11,-21) (20/11,2/1) -> (20/11,2/1) Reflection Matrix(136,-297,49,-107) (2/1,11/5) -> (11/4,25/9) Hyperbolic Matrix(201,-449,77,-172) (11/5,9/4) -> (13/5,34/13) Hyperbolic Matrix(4141,-9810,1748,-4141) (45/19,109/46) -> (45/19,109/46) Reflection Matrix(873,-2071,368,-873) (109/46,19/8) -> (109/46,19/8) Reflection Matrix(119,-283,37,-88) (19/8,12/5) -> (3/1,13/4) Glide Reflection Matrix(109,-264,45,-109) (12/5,22/9) -> (12/5,22/9) Reflection Matrix(89,-220,36,-89) (22/9,5/2) -> (22/9,5/2) Reflection Matrix(52,-133,9,-23) (5/2,13/5) -> (11/2,6/1) Hyperbolic Matrix(75,-203,17,-46) (8/3,11/4) -> (13/3,9/2) Hyperbolic Matrix(2089,-6840,638,-2089) (36/11,95/29) -> (36/11,95/29) Reflection Matrix(666,-2185,203,-666) (95/29,23/7) -> (95/29,23/7) Reflection Matrix(71,-240,21,-71) (10/3,24/7) -> (10/3,24/7) Reflection Matrix(97,-336,28,-97) (24/7,7/2) -> (24/7,7/2) Reflection Matrix(54,-193,7,-25) (7/2,18/5) -> (7/1,8/1) Hyperbolic Matrix(127,-461,27,-98) (18/5,11/3) -> (14/3,19/4) Hyperbolic Matrix(49,-200,12,-49) (4/1,25/6) -> (4/1,25/6) Reflection Matrix(101,-425,24,-101) (25/6,17/4) -> (25/6,17/4) Reflection Matrix(51,-260,10,-51) (5/1,26/5) -> (5/1,26/5) Reflection Matrix(79,-416,15,-79) (26/5,16/3) -> (26/5,16/3) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,0,-1) (-1/1,1/0) -> (0/1,1/0) Matrix(0,1,1,0) -> Matrix(1,0,29,-1) (-1/1,1/1) -> (0/1,2/29) Matrix(113,-134,43,-51) -> Matrix(14,-1,111,-8) Matrix(169,-204,140,-169) -> Matrix(29,-2,420,-29) (6/5,17/14) -> (1/15,1/14) Matrix(69,-85,56,-69) -> Matrix(13,-1,168,-13) (17/14,5/4) -> (1/14,1/12) Matrix(685,-866,246,-311) -> Matrix(55,-4,454,-33) Matrix(1559,-1976,1230,-1559) -> Matrix(105,-8,1378,-105) (19/15,52/41) -> (4/53,1/13) Matrix(573,-728,451,-573) -> Matrix(38,-3,481,-38) (52/41,14/11) -> (1/13,3/37) Matrix(545,-696,231,-295) -> Matrix(38,-3,355,-28) Matrix(353,-452,82,-105) -> Matrix(47,-4,270,-23) Matrix(244,-315,189,-244) -> Matrix(1,0,21,-1) (9/7,35/27) -> (0/1,2/21) Matrix(701,-910,540,-701) -> Matrix(1,0,44,-1) (35/27,13/10) -> (0/1,1/22) Matrix(81,-106,13,-17) -> Matrix(16,-1,65,-4) Matrix(53,-72,39,-53) -> Matrix(14,-1,195,-14) (4/3,18/13) -> (1/15,1/13) Matrix(181,-252,130,-181) -> Matrix(51,-4,650,-51) (18/13,7/5) -> (1/13,2/25) Matrix(462,-653,283,-400) -> Matrix(25,-2,287,-23) Matrix(807,-1145,308,-437) -> Matrix(13,-1,92,-7) Matrix(499,-711,153,-218) -> Matrix(34,-3,261,-23) Matrix(50,-73,13,-19) -> Matrix(11,-1,65,-6) Matrix(37,-57,24,-37) -> Matrix(13,-1,168,-13) (3/2,19/12) -> (1/14,1/12) Matrix(191,-304,120,-191) -> Matrix(71,-6,840,-71) (19/12,8/5) -> (1/12,3/35) Matrix(107,-173,47,-76) -> Matrix(12,-1,131,-11) Matrix(307,-500,35,-57) -> Matrix(32,-3,107,-10) Matrix(1119,-1825,401,-654) -> Matrix(34,-3,283,-25) Matrix(916,-1503,387,-635) -> Matrix(35,-3,327,-28) Matrix(281,-462,59,-97) -> Matrix(10,-1,61,-6) Matrix(116,-195,69,-116) -> Matrix(1,0,21,-1) (5/3,39/23) -> (0/1,2/21) Matrix(781,-1326,460,-781) -> Matrix(1,0,36,-1) (39/23,17/10) -> (0/1,1/18) Matrix(161,-274,57,-97) -> Matrix(16,-1,129,-8) Matrix(365,-628,68,-117) -> Matrix(77,-6,372,-29) Matrix(524,-903,159,-274) -> Matrix(101,-8,745,-59) Matrix(114,-197,11,-19) -> Matrix(37,-3,99,-8) Matrix(1769,-3068,1020,-1769) -> Matrix(265,-22,3192,-265) (26/15,59/34) -> (11/133,1/12) Matrix(237,-413,136,-237) -> Matrix(35,-3,408,-35) (59/34,7/4) -> (1/12,3/34) Matrix(101,-179,22,-39) -> Matrix(35,-3,198,-17) Matrix(199,-360,110,-199) -> Matrix(89,-8,990,-89) (9/5,20/11) -> (4/45,1/11) Matrix(21,-40,11,-21) -> Matrix(10,-1,99,-10) (20/11,2/1) -> (1/11,1/9) Matrix(136,-297,49,-107) -> Matrix(47,-5,395,-42) Matrix(201,-449,77,-172) -> Matrix(8,-1,73,-9) (1/9,1/7).(0/1,2/17).(1/10,1/8) Matrix(4141,-9810,1748,-4141) -> Matrix(113,-12,1064,-113) (45/19,109/46) -> (2/19,3/28) Matrix(873,-2071,368,-873) -> Matrix(29,-3,280,-29) (109/46,19/8) -> (1/10,3/28) Matrix(119,-283,37,-88) -> Matrix(10,-1,89,-9) Matrix(109,-264,45,-109) -> Matrix(64,-7,585,-64) (12/5,22/9) -> (7/65,1/9) Matrix(89,-220,36,-89) -> Matrix(53,-6,468,-53) (22/9,5/2) -> (1/9,3/26) Matrix(52,-133,9,-23) -> Matrix(25,-3,117,-14) Matrix(75,-203,17,-46) -> Matrix(10,-1,51,-5) Matrix(2089,-6840,638,-2089) -> Matrix(571,-76,4290,-571) (36/11,95/29) -> (19/143,2/15) Matrix(666,-2185,203,-666) -> Matrix(239,-32,1785,-239) (95/29,23/7) -> (2/15,16/119) Matrix(71,-240,21,-71) -> Matrix(50,-7,357,-50) (10/3,24/7) -> (7/51,1/7) Matrix(97,-336,28,-97) -> Matrix(69,-10,476,-69) (24/7,7/2) -> (1/7,5/34) Matrix(54,-193,7,-25) -> Matrix(33,-5,119,-18) Matrix(127,-461,27,-98) -> Matrix(32,-5,173,-27) Matrix(49,-200,12,-49) -> Matrix(37,-6,228,-37) (4/1,25/6) -> (3/19,1/6) Matrix(101,-425,24,-101) -> Matrix(77,-13,456,-77) (25/6,17/4) -> (1/6,13/76) Matrix(51,-260,10,-51) -> Matrix(41,-8,210,-41) (5/1,26/5) -> (4/21,1/5) Matrix(79,-416,15,-79) -> Matrix(64,-13,315,-64) (26/5,16/3) -> (1/5,13/63) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.