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): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 128 Genus: 129 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/10 -17/20 -4/5 -3/4 -11/15 -7/10 -13/20 -23/36 -19/30 -3/5 -59/100 -7/12 -17/30 -11/20 -15/28 -1/2 -7/15 -9/20 -53/120 -7/16 -17/40 -67/160 -5/12 -33/80 -2/5 -39/100 -31/80 -3/8 -11/30 -43/120 -7/20 -3/10 -59/200 -7/24 -5/18 -11/40 -43/160 -4/15 -9/34 -1/4 -19/80 -7/30 -119/520 -9/40 -7/32 -3/14 -17/80 -5/24 -1/5 -3/16 -7/38 -5/28 -7/40 -1/6 -5/32 -3/20 -11/80 -3/22 -2/15 -5/38 -1/8 -3/26 -1/10 0/1 1/10 2/19 1/9 2/17 1/8 2/15 3/22 1/7 3/20 2/13 5/32 3/19 1/6 3/17 5/28 2/11 3/16 1/5 5/24 3/14 7/32 2/9 3/13 7/30 1/4 4/15 7/26 3/11 5/18 2/7 7/24 3/10 11/36 1/3 7/20 13/36 11/30 3/8 13/34 39/100 2/5 5/12 7/16 9/20 7/15 1/2 15/28 11/20 17/30 7/12 59/100 3/5 19/30 23/36 13/20 2/3 7/10 11/15 3/4 4/5 17/20 9/10 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/38 -9/10 1/34 -17/19 1/34 -8/9 5/168 -15/17 3/100 -7/8 1/33 -20/23 1/32 -13/15 1/33 -19/22 5/163 -6/7 1/32 -17/20 1/32 -11/13 5/158 -27/32 0/1 -16/19 1/32 -21/25 1/32 -5/6 1/31 -14/17 5/154 -23/28 4/123 2/61 -9/11 1/32 -13/16 2/61 -17/21 1/30 -4/5 1/30 -19/24 1/30 -34/43 1/28 -15/19 1/30 -56/71 7/208 -41/52 4/119 2/59 -26/33 5/148 -11/14 1/29 -18/23 3/86 -25/32 0/1 -32/41 5/154 -7/9 1/30 -17/22 1/29 -10/13 1/26 -33/43 3/88 -23/30 1/29 -13/17 1/28 -3/4 0/1 2/57 -17/23 1/28 -31/42 1/29 -14/19 1/28 -11/15 1/28 -30/41 3/76 -49/67 1/14 -19/26 1/31 -46/63 1/30 -27/37 1/28 -35/48 2/57 -8/11 1/28 -13/18 1/27 -44/61 1/28 -31/43 5/138 -18/25 1/27 -23/32 0/1 -28/39 5/146 -5/7 1/28 -27/38 1/27 -22/31 1/26 -39/55 1/28 -17/24 1/27 -29/41 7/184 -12/17 1/30 -7/10 1/27 -16/23 5/132 -41/59 1/26 -25/36 0/1 2/51 -9/13 3/82 -11/16 2/53 -13/19 1/26 -15/22 1/25 -17/25 1/27 -2/3 1/26 -13/20 1/25 -24/37 7/174 -11/17 5/124 -9/14 1/25 -34/53 15/374 -25/39 17/422 -16/25 3/74 -39/61 3/74 -23/36 8/197 2/49 -30/47 7/172 -37/58 13/319 -7/11 5/122 -33/52 10/243 4/97 -26/41 19/460 -19/30 1/24 -12/19 1/24 -5/8 1/24 -13/21 1/24 -21/34 3/71 -50/81 5/114 -29/47 1/24 -8/13 7/166 -27/44 12/283 2/47 -73/119 65/1532 -46/75 9/212 -19/31 17/400 -11/18 5/117 -36/59 3/70 -61/100 3/70 -25/41 23/536 -14/23 5/116 -17/28 2/47 4/93 -20/33 5/116 -3/5 1/23 -19/32 4/91 -16/27 7/158 -13/22 1/23 -36/61 3/68 -59/100 3/68 -23/39 25/566 -10/17 11/248 -27/46 15/337 -44/75 9/202 -17/29 5/112 -58/99 5/112 -41/70 5/112 -24/41 27/604 -31/53 19/424 -7/12 2/45 4/89 -39/67 19/424 -32/55 3/67 -25/43 15/334 -43/74 13/289 -61/105 9/200 -18/31 1/22 -11/19 1/22 -26/45 1/22 -41/71 25/554 -15/26 9/199 -4/7 1/22 -25/44 4/87 10/217 -21/37 5/108 -17/30 3/65 -13/23 1/22 -22/39 29/626 -9/16 2/43 -23/41 31/664 -14/25 3/64 -19/34 5/107 -24/43 3/64 -29/52 2/43 4/85 -5/9 5/106 -11/20 1/21 -17/31 11/230 -23/42 1/21 -6/11 5/104 -13/24 3/62 -20/37 13/268 -7/13 11/226 -22/41 35/716 -15/28 2/41 12/245 -23/43 5/102 -8/15 3/61 -9/17 11/222 -1/2 1/19 -9/19 1/18 -8/17 11/196 -7/15 3/53 -20/43 5/88 -13/28 12/211 2/35 -6/13 11/192 -17/37 13/226 -11/24 3/52 -16/35 3/52 -5/11 5/86 -9/20 1/17 -13/29 11/186 -17/38 1/17 -4/9 5/84 -23/52 4/67 2/33 -19/43 3/50 -53/120 3/50 -34/77 3/50 -15/34 5/83 -11/25 3/50 -18/41 31/514 -7/16 2/33 -17/39 29/476 -10/23 1/16 -13/30 3/49 -16/37 5/82 -3/7 1/16 -17/40 1/16 -14/33 1/16 -11/26 9/143 -30/71 25/396 -19/45 1/16 -8/19 1/16 -21/50 1/16 -34/81 29/460 -13/31 1/16 -31/74 13/205 -49/117 41/646 -67/160 4/63 -18/43 15/236 -5/12 4/63 2/31 -22/53 19/298 -17/41 27/422 -29/70 5/78 -41/99 5/78 -12/29 5/78 -31/75 9/140 -50/121 79/1228 -19/46 15/233 -26/63 41/636 -33/80 2/31 -7/17 11/170 -16/39 25/384 -41/100 3/46 -25/61 3/46 -9/22 1/15 -2/5 1/15 -15/38 1/15 -13/33 5/74 -11/28 4/59 2/29 -9/23 5/74 -16/41 23/338 -39/100 3/44 -23/59 3/44 -7/18 5/73 -19/49 27/392 -31/80 2/29 -12/31 17/246 -29/75 9/130 -46/119 65/938 -63/163 33/476 -17/44 2/29 12/173 -5/13 7/100 -23/60 1/14 -18/47 1/14 -31/81 5/76 -44/115 3/44 -13/34 3/43 -21/55 1/14 -8/21 1/14 -3/8 1/14 -7/19 1/14 -18/49 1/14 -11/30 1/14 -26/71 1/14 -15/41 19/262 -4/11 5/68 -17/47 7/94 -30/83 17/228 -43/119 53/710 -13/36 2/27 8/107 -22/61 3/40 -9/25 3/40 -14/39 17/224 -19/53 15/196 -43/120 1/13 -24/67 13/168 -5/14 1/13 -6/17 5/66 -7/20 1/13 -8/23 3/38 -1/3 1/12 -7/22 1/13 -6/19 1/12 -5/16 2/23 -9/29 5/56 -13/42 1/11 -17/55 1/11 -4/13 3/32 -3/10 1/11 -8/27 5/54 -13/44 2/21 4/41 -18/61 1/10 -59/200 1/10 -41/139 1/10 -23/78 7/69 -5/17 1/8 -12/41 7/82 -19/65 3/34 -7/24 1/11 -16/55 1/10 -9/31 1/12 -11/38 1/11 -13/45 1/11 -2/7 1/10 -11/39 5/44 -9/32 0/1 -16/57 3/38 -7/25 1/11 -26/93 3/34 -19/68 4/43 2/21 -12/43 5/52 -17/61 1/10 -5/18 1/11 -8/29 1/10 -11/40 1/10 -3/11 1/10 -16/59 1/10 -13/48 2/19 -23/85 1/9 -33/122 1/9 -43/159 13/116 -10/37 1/10 -17/63 1/8 -24/89 7/60 -7/26 1/7 -25/93 -1/10 -43/160 0/1 -18/67 1/24 -11/41 3/38 -15/56 1/11 -4/15 1/10 -9/34 1/9 -5/19 1/10 -1/4 0/1 2/19 -5/21 1/10 -19/80 2/19 -14/59 3/28 -9/38 1/9 -13/55 1/9 -4/17 1/10 -7/30 1/9 -10/43 3/26 -3/13 1/12 -11/48 2/19 -19/83 3/28 -46/201 17/154 -119/520 1/9 -73/319 19/170 -27/118 1/9 -8/35 1/9 -5/22 1/9 -7/31 3/28 -9/40 1/9 -2/9 1/8 -9/41 5/36 -7/32 0/1 -12/55 1/11 -5/23 3/28 -3/14 1/9 -10/47 7/60 -17/80 2/17 -7/33 5/42 -11/52 2/17 4/33 -15/71 7/58 -4/19 1/8 -9/43 1/10 -5/24 1/8 -6/29 1/6 -1/5 1/8 -4/21 1/8 -3/16 2/15 -5/27 7/50 -12/65 1/7 -7/38 1/7 -2/11 1/6 -7/39 11/84 -12/67 19/142 -5/28 2/15 4/29 -3/17 5/36 -7/40 1/7 -4/23 7/48 -1/6 1/7 -5/31 5/32 -4/25 1/6 -3/19 1/6 -8/51 1/6 -5/32 0/1 -2/13 5/32 -3/20 1/6 -4/27 11/64 -1/7 1/6 -4/29 13/72 -11/80 2/11 -7/51 23/126 -3/22 5/27 -5/37 3/16 -2/15 1/5 -5/38 1/5 -3/23 1/6 -1/8 1/5 -2/17 3/14 -3/26 7/33 -1/9 5/22 -2/19 1/4 -1/10 1/4 0/1 1/0 1/10 -1/4 2/19 -1/4 1/9 -5/22 2/17 -3/14 1/8 -1/5 3/23 -1/6 2/15 -1/5 3/22 -5/27 1/7 -1/6 3/20 -1/6 2/13 -5/32 5/32 0/1 3/19 -1/6 4/25 -1/6 1/6 -1/7 3/17 -5/36 5/28 -4/29 -2/15 2/11 -1/6 3/16 -2/15 4/21 -1/8 1/5 -1/8 5/24 -1/8 9/43 -1/10 4/19 -1/8 15/71 -7/58 11/52 -4/33 -2/17 7/33 -5/42 3/14 -1/9 5/23 -3/28 7/32 0/1 9/41 -5/36 2/9 -1/8 5/22 -1/9 3/13 -1/12 10/43 -3/26 7/30 -1/9 4/17 -1/10 1/4 -2/19 0/1 6/23 -1/10 11/42 -1/9 5/19 -1/10 4/15 -1/10 11/41 -3/38 18/67 -1/24 7/26 -1/7 17/63 -1/8 10/37 -1/10 13/48 -2/19 3/11 -1/10 5/18 -1/11 17/61 -1/10 12/43 -5/52 7/25 -1/11 9/32 0/1 11/39 -5/44 2/7 -1/10 11/38 -1/11 9/31 -1/12 16/55 -1/10 7/24 -1/11 12/41 -7/82 5/17 -1/8 3/10 -1/11 7/23 -5/58 18/59 -1/12 11/36 -2/25 0/1 4/13 -3/32 5/16 -2/23 6/19 -1/12 7/22 -1/13 8/25 -1/11 1/3 -1/12 7/20 -1/13 13/37 -7/92 6/17 -5/66 5/14 -1/13 19/53 -15/196 14/39 -17/224 9/25 -3/40 22/61 -3/40 13/36 -8/107 -2/27 17/47 -7/94 21/58 -13/175 4/11 -5/68 19/52 -10/137 -4/55 15/41 -19/262 11/30 -1/14 7/19 -1/14 3/8 -1/14 8/21 -1/14 13/34 -3/43 31/81 -5/76 18/47 -1/14 5/13 -7/100 17/44 -12/173 -2/29 46/119 -65/938 29/75 -9/130 12/31 -17/246 7/18 -5/73 23/59 -3/44 39/100 -3/44 16/41 -23/338 9/23 -5/74 11/28 -2/29 -4/59 13/33 -5/74 2/5 -1/15 13/32 -4/61 11/27 -7/108 9/22 -1/15 25/61 -3/46 41/100 -3/46 16/39 -25/384 7/17 -11/170 19/46 -15/233 31/75 -9/140 12/29 -5/78 41/99 -5/78 29/70 -5/78 17/41 -27/422 22/53 -19/298 5/12 -2/31 -4/63 28/67 -19/298 23/55 -3/47 18/43 -15/236 31/74 -13/205 44/105 -9/142 13/31 -1/16 8/19 -1/16 19/45 -1/16 30/71 -25/396 11/26 -9/143 3/7 -1/16 19/44 -4/65 -10/163 16/37 -5/82 13/30 -3/49 10/23 -1/16 17/39 -29/476 7/16 -2/33 18/41 -31/514 11/25 -3/50 15/34 -5/83 19/43 -3/50 23/52 -2/33 -4/67 4/9 -5/84 9/20 -1/17 14/31 -11/188 19/42 -1/17 5/11 -5/86 11/24 -3/52 17/37 -13/226 6/13 -11/192 19/41 -35/614 13/28 -2/35 -12/211 20/43 -5/88 7/15 -3/53 8/17 -11/196 1/2 -1/19 10/19 -1/20 9/17 -11/222 8/15 -3/61 23/43 -5/102 15/28 -12/245 -2/41 7/13 -11/226 20/37 -13/268 13/24 -3/62 19/35 -3/62 6/11 -5/104 11/20 -1/21 16/29 -11/232 21/38 -1/21 5/9 -5/106 29/52 -4/85 -2/43 24/43 -3/64 67/120 -3/64 43/77 -3/64 19/34 -5/107 14/25 -3/64 23/41 -31/664 9/16 -2/43 22/39 -29/626 13/23 -1/22 17/30 -3/65 21/37 -5/108 4/7 -1/22 23/40 -1/22 19/33 -1/22 15/26 -9/199 41/71 -25/554 26/45 -1/22 11/19 -1/22 29/50 -1/22 47/81 -29/642 18/31 -1/22 43/74 -13/289 68/117 -41/912 93/160 -4/89 25/43 -15/334 7/12 -4/89 -2/45 31/53 -19/424 24/41 -27/604 41/70 -5/112 58/99 -5/112 17/29 -5/112 44/75 -9/202 71/121 -79/1774 27/46 -15/337 37/63 -41/922 47/80 -2/45 10/17 -11/248 23/39 -25/566 59/100 -3/68 36/61 -3/68 13/22 -1/23 3/5 -1/23 23/38 -1/23 20/33 -5/116 17/28 -4/93 -2/47 14/23 -5/116 25/41 -23/536 61/100 -3/70 36/59 -3/70 11/18 -5/117 30/49 -27/634 49/80 -2/47 19/31 -17/400 46/75 -9/212 73/119 -65/1532 100/163 -33/778 27/44 -2/47 -12/283 8/13 -7/166 37/60 -1/24 29/47 -1/24 50/81 -5/114 71/115 -3/70 21/34 -3/71 34/55 -1/24 13/21 -1/24 5/8 -1/24 12/19 -1/24 31/49 -1/24 19/30 -1/24 45/71 -1/24 26/41 -19/460 7/11 -5/122 30/47 -7/172 53/83 -17/418 76/119 -53/1304 23/36 -2/49 -8/197 39/61 -3/74 16/25 -3/74 25/39 -17/422 34/53 -15/374 77/120 -1/25 43/67 -13/326 9/14 -1/25 11/17 -5/124 13/20 -1/25 15/23 -3/76 2/3 -1/26 15/22 -1/25 13/19 -1/26 11/16 -2/53 20/29 -5/134 29/42 -1/27 38/55 -1/27 9/13 -3/82 7/10 -1/27 19/27 -5/136 31/44 -2/55 -4/111 43/61 -1/28 141/200 -1/28 98/139 -1/28 55/78 -7/197 12/17 -1/30 29/41 -7/184 46/65 -3/80 17/24 -1/27 39/55 -1/28 22/31 -1/26 27/38 -1/27 32/45 -1/27 5/7 -1/28 28/39 -5/146 23/32 0/1 41/57 -3/76 18/25 -1/27 67/93 -3/80 49/68 -4/109 -2/55 31/43 -5/138 44/61 -1/28 13/18 -1/27 21/29 -1/28 29/40 -1/28 8/11 -1/28 43/59 -1/28 35/48 -2/57 62/85 -1/29 89/122 -1/29 116/159 -13/378 27/37 -1/28 46/63 -1/30 65/89 -7/206 19/26 -1/31 68/93 -1/48 117/160 0/1 49/67 -1/14 30/41 -3/76 41/56 -1/27 11/15 -1/28 25/34 -1/29 14/19 -1/28 3/4 -2/57 0/1 16/21 -1/28 61/80 -2/57 45/59 -3/86 29/38 -1/29 42/55 -1/29 13/17 -1/28 23/30 -1/29 33/43 -3/88 10/13 -1/26 37/48 -2/57 64/83 -3/86 155/201 -17/492 401/520 -1/29 246/319 -19/552 91/118 -1/29 27/35 -1/29 17/22 -1/29 24/31 -3/86 31/40 -1/29 7/9 -1/30 32/41 -5/154 25/32 0/1 43/55 -1/27 18/23 -3/86 11/14 -1/29 37/47 -7/206 63/80 -2/59 26/33 -5/148 41/52 -2/59 -4/119 56/71 -7/208 15/19 -1/30 34/43 -1/28 19/24 -1/30 23/29 -1/32 4/5 -1/30 17/21 -1/30 13/16 -2/61 22/27 -7/216 53/65 -1/31 31/38 -1/31 9/11 -1/32 32/39 -11/334 55/67 -19/580 23/28 -2/61 -4/123 14/17 -5/154 33/40 -1/31 19/23 -7/218 5/6 -1/31 26/31 -5/158 21/25 -1/32 16/19 -1/32 43/51 -1/32 27/32 0/1 11/13 -5/158 17/20 -1/32 23/27 -11/354 6/7 -1/32 25/29 -13/422 69/80 -2/65 44/51 -23/748 19/22 -5/163 32/37 -3/98 13/15 -1/33 33/38 -1/33 20/23 -1/32 7/8 -1/33 15/17 -3/100 23/26 -7/233 8/9 -5/168 17/19 -1/34 9/10 -1/34 1/1 -1/38 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(199,182,480,439) (-1/1,-9/10) -> (29/70,17/41) Hyperbolic Matrix(961,862,2320,2081) (-9/10,-17/19) -> (41/99,29/70) Hyperbolic Matrix(1199,1072,1520,1359) (-17/19,-8/9) -> (56/71,15/19) Hyperbolic Matrix(561,496,-2080,-1839) (-8/9,-15/17) -> (-17/63,-24/89) Hyperbolic Matrix(41,36,320,281) (-15/17,-7/8) -> (1/8,3/23) Hyperbolic Matrix(39,34,320,279) (-7/8,-20/23) -> (2/17,1/8) Hyperbolic Matrix(359,312,-1520,-1321) (-20/23,-13/15) -> (-13/55,-4/17) Hyperbolic Matrix(599,518,-880,-761) (-13/15,-19/22) -> (-15/22,-17/25) Hyperbolic Matrix(919,792,-1440,-1241) (-19/22,-6/7) -> (-30/47,-37/58) Hyperbolic Matrix(521,444,-1360,-1159) (-6/7,-17/20) -> (-23/60,-18/47) Hyperbolic Matrix(399,338,-1040,-881) (-17/20,-11/13) -> (-5/13,-23/60) Hyperbolic Matrix(521,440,1280,1081) (-11/13,-27/32) -> (13/32,11/27) Hyperbolic Matrix(759,640,-2800,-2361) (-27/32,-16/19) -> (-16/59,-13/48) Hyperbolic Matrix(721,606,2000,1681) (-16/19,-21/25) -> (9/25,22/61) Hyperbolic Matrix(1441,1208,-2480,-2079) (-21/25,-5/6) -> (-43/74,-61/105) Hyperbolic Matrix(41,34,-240,-199) (-5/6,-14/17) -> (-4/23,-1/6) Hyperbolic Matrix(681,560,1120,921) (-14/17,-23/28) -> (17/28,14/23) Hyperbolic Matrix(559,458,-880,-721) (-23/28,-9/11) -> (-7/11,-33/52) Hyperbolic Matrix(199,162,-640,-521) (-9/11,-13/16) -> (-5/16,-9/29) Hyperbolic Matrix(439,356,640,519) (-13/16,-17/21) -> (13/19,11/16) Hyperbolic Matrix(601,486,1040,841) (-17/21,-4/5) -> (26/45,11/19) Hyperbolic Matrix(439,348,-960,-761) (-4/5,-19/24) -> (-11/24,-16/35) Hyperbolic Matrix(1039,822,1920,1519) (-19/24,-34/43) -> (20/37,13/24) Hyperbolic Matrix(959,758,3440,2719) (-34/43,-15/19) -> (17/61,12/43) Hyperbolic Matrix(1359,1072,1520,1199) (-15/19,-56/71) -> (8/9,17/19) Hyperbolic Matrix(1841,1452,4160,3281) (-56/71,-41/52) -> (23/52,4/9) Hyperbolic Matrix(1601,1262,2640,2081) (-41/52,-26/33) -> (20/33,17/28) Hyperbolic Matrix(239,188,-1120,-881) (-26/33,-11/14) -> (-3/14,-10/47) Hyperbolic Matrix(199,156,560,439) (-11/14,-18/23) -> (6/17,5/14) Hyperbolic Matrix(719,562,-2560,-2001) (-18/23,-25/32) -> (-9/32,-16/57) Hyperbolic Matrix(1839,1436,2560,1999) (-25/32,-32/41) -> (28/39,23/32) Hyperbolic Matrix(2079,1622,3280,2559) (-32/41,-7/9) -> (45/71,26/41) Hyperbolic Matrix(199,154,-880,-681) (-7/9,-17/22) -> (-5/22,-7/31) Hyperbolic Matrix(521,402,-880,-679) (-17/22,-10/13) -> (-16/27,-13/22) Hyperbolic Matrix(479,368,1040,799) (-10/13,-33/43) -> (17/37,6/13) Hyperbolic Matrix(1361,1044,2400,1841) (-33/43,-23/30) -> (17/30,21/37) Hyperbolic Matrix(679,520,1200,919) (-23/30,-13/17) -> (13/23,17/30) Hyperbolic Matrix(119,90,-160,-121) (-13/17,-3/4) -> (-3/4,-17/23) Parabolic Matrix(241,178,-1840,-1359) (-17/23,-31/42) -> (-5/38,-3/23) Hyperbolic Matrix(759,560,-3200,-2361) (-31/42,-14/19) -> (-14/59,-9/38) Hyperbolic Matrix(519,382,-1360,-1001) (-14/19,-11/15) -> (-21/55,-8/21) Hyperbolic Matrix(959,702,-3280,-2401) (-11/15,-30/41) -> (-12/41,-19/65) Hyperbolic Matrix(1761,1288,-3280,-2399) (-30/41,-49/67) -> (-7/13,-22/41) Hyperbolic Matrix(1119,818,-4160,-3041) (-49/67,-19/26) -> (-7/26,-25/93) Hyperbolic Matrix(241,176,-2080,-1519) (-19/26,-46/63) -> (-2/17,-3/26) Hyperbolic Matrix(1041,760,2960,2161) (-46/63,-27/37) -> (13/37,6/17) Hyperbolic Matrix(1319,962,-5760,-4201) (-27/37,-35/48) -> (-11/48,-19/83) Hyperbolic Matrix(439,320,-2800,-2041) (-35/48,-8/11) -> (-8/51,-5/32) Hyperbolic Matrix(199,144,-720,-521) (-8/11,-13/18) -> (-5/18,-8/29) Hyperbolic Matrix(1319,952,2160,1559) (-13/18,-44/61) -> (36/59,11/18) Hyperbolic Matrix(721,520,3440,2481) (-44/61,-31/43) -> (9/43,4/19) Hyperbolic Matrix(2001,1442,-3440,-2479) (-31/43,-18/25) -> (-32/55,-25/43) Hyperbolic Matrix(559,402,-2560,-1841) (-18/25,-23/32) -> (-7/32,-12/55) Hyperbolic Matrix(1999,1436,2560,1839) (-23/32,-28/39) -> (32/41,25/32) Hyperbolic Matrix(1481,1062,2400,1721) (-28/39,-5/7) -> (29/47,50/81) Hyperbolic Matrix(599,426,-1520,-1081) (-5/7,-27/38) -> (-15/38,-13/33) Hyperbolic Matrix(1121,796,2480,1761) (-27/38,-22/31) -> (14/31,19/42) Hyperbolic Matrix(2881,2044,-4960,-3519) (-22/31,-39/55) -> (-61/105,-18/31) Hyperbolic Matrix(2519,1786,3440,2439) (-39/55,-17/24) -> (41/56,11/15) Hyperbolic Matrix(879,622,-3280,-2321) (-17/24,-29/41) -> (-11/41,-15/56) Hyperbolic Matrix(801,566,1360,961) (-29/41,-12/17) -> (10/17,23/39) Hyperbolic Matrix(279,196,-400,-281) (-12/17,-7/10) -> (-7/10,-16/23) Parabolic Matrix(679,472,-1440,-1001) (-16/23,-41/59) -> (-9/19,-8/17) Hyperbolic Matrix(2761,1918,4320,3001) (-41/59,-25/36) -> (23/36,39/61) Hyperbolic Matrix(401,278,1040,721) (-25/36,-9/13) -> (5/13,17/44) Hyperbolic Matrix(119,82,-640,-441) (-9/13,-11/16) -> (-3/16,-5/27) Hyperbolic Matrix(519,356,640,439) (-11/16,-13/19) -> (17/21,13/16) Hyperbolic Matrix(721,492,1760,1201) (-13/19,-15/22) -> (9/22,25/61) Hyperbolic Matrix(521,354,1120,761) (-17/25,-2/3) -> (20/43,7/15) Hyperbolic Matrix(519,338,-800,-521) (-2/3,-13/20) -> (-13/20,-24/37) Parabolic Matrix(799,518,2960,1919) (-24/37,-11/17) -> (17/63,10/37) Hyperbolic Matrix(121,78,560,361) (-11/17,-9/14) -> (3/14,5/23) Hyperbolic Matrix(601,386,-1680,-1079) (-9/14,-34/53) -> (-24/67,-5/14) Hyperbolic Matrix(1759,1128,4240,2719) (-34/53,-25/39) -> (17/41,22/53) Hyperbolic Matrix(1121,718,2000,1281) (-25/39,-16/25) -> (14/25,23/41) Hyperbolic Matrix(319,204,2000,1279) (-16/25,-39/61) -> (3/19,4/25) Hyperbolic Matrix(3439,2198,4880,3119) (-39/61,-23/36) -> (31/44,43/61) Hyperbolic Matrix(1319,842,-2320,-1481) (-23/36,-30/47) -> (-4/7,-25/44) Hyperbolic Matrix(439,280,-3200,-2041) (-37/58,-7/11) -> (-7/51,-3/22) Hyperbolic Matrix(1759,1116,-3280,-2081) (-33/52,-26/41) -> (-22/41,-15/28) Hyperbolic Matrix(1881,1192,-4480,-2839) (-26/41,-19/30) -> (-21/50,-34/81) Hyperbolic Matrix(639,404,-1520,-961) (-19/30,-12/19) -> (-8/19,-21/50) Hyperbolic Matrix(121,76,320,201) (-12/19,-5/8) -> (3/8,8/21) Hyperbolic Matrix(119,74,320,199) (-5/8,-13/21) -> (7/19,3/8) Hyperbolic Matrix(359,222,-1360,-841) (-13/21,-21/34) -> (-9/34,-5/19) Hyperbolic Matrix(3239,2000,-7840,-4841) (-21/34,-50/81) -> (-50/121,-19/46) Hyperbolic Matrix(1721,1062,2400,1481) (-50/81,-29/47) -> (5/7,28/39) Hyperbolic Matrix(201,124,-1360,-839) (-29/47,-8/13) -> (-4/27,-1/7) Hyperbolic Matrix(319,196,1040,639) (-8/13,-27/44) -> (11/36,4/13) Hyperbolic Matrix(3439,2110,-9520,-5841) (-27/44,-73/119) -> (-43/119,-13/36) Hyperbolic Matrix(10561,6478,18000,11041) (-73/119,-46/75) -> (44/75,71/121) Hyperbolic Matrix(3881,2380,6720,4121) (-46/75,-19/31) -> (41/71,26/45) Hyperbolic Matrix(559,342,-1440,-881) (-19/31,-11/18) -> (-7/18,-19/49) Hyperbolic Matrix(1559,952,2160,1319) (-11/18,-36/59) -> (44/61,13/18) Hyperbolic Matrix(7081,4320,12000,7321) (-36/59,-61/100) -> (59/100,36/61) Hyperbolic Matrix(4719,2878,8000,4879) (-61/100,-25/41) -> (23/39,59/100) Hyperbolic Matrix(801,488,1840,1121) (-25/41,-14/23) -> (10/23,17/39) Hyperbolic Matrix(921,560,1120,681) (-14/23,-17/28) -> (23/28,14/17) Hyperbolic Matrix(2081,1262,2640,1601) (-17/28,-20/33) -> (26/33,41/52) Hyperbolic Matrix(439,266,-1520,-921) (-20/33,-3/5) -> (-13/45,-2/7) Hyperbolic Matrix(801,476,-2960,-1759) (-3/5,-19/32) -> (-13/48,-23/85) Hyperbolic Matrix(199,118,1280,759) (-19/32,-16/27) -> (2/13,5/32) Hyperbolic Matrix(559,330,1760,1039) (-13/22,-36/61) -> (6/19,7/22) Hyperbolic Matrix(7321,4320,12000,7081) (-36/61,-59/100) -> (61/100,36/59) Hyperbolic Matrix(4879,2878,8000,4719) (-59/100,-23/39) -> (25/41,61/100) Hyperbolic Matrix(961,566,1360,801) (-23/39,-10/17) -> (12/17,29/41) Hyperbolic Matrix(1519,892,-3680,-2161) (-10/17,-27/46) -> (-19/46,-26/63) Hyperbolic Matrix(2999,1760,-7840,-4601) (-27/46,-44/75) -> (-44/115,-13/34) Hyperbolic Matrix(1841,1080,2320,1361) (-44/75,-17/29) -> (23/29,4/5) Hyperbolic Matrix(4721,2766,5600,3281) (-17/29,-58/99) -> (16/19,43/51) Hyperbolic Matrix(239,140,2320,1359) (-58/99,-41/70) -> (1/10,2/19) Hyperbolic Matrix(41,24,480,281) (-41/70,-24/41) -> (0/1,1/10) Hyperbolic Matrix(1521,890,4240,2481) (-24/41,-31/53) -> (19/53,14/39) Hyperbolic Matrix(839,490,-1440,-841) (-31/53,-7/12) -> (-7/12,-39/67) Parabolic Matrix(3041,1770,4400,2561) (-39/67,-32/55) -> (38/55,9/13) Hyperbolic Matrix(4959,2882,-11840,-6881) (-25/43,-43/74) -> (-31/74,-49/117) Hyperbolic Matrix(559,324,-1520,-881) (-18/31,-11/19) -> (-7/19,-18/49) Hyperbolic Matrix(841,486,1040,601) (-11/19,-26/45) -> (4/5,17/21) Hyperbolic Matrix(4121,2380,6720,3881) (-26/45,-41/71) -> (19/31,46/75) Hyperbolic Matrix(239,138,-2080,-1201) (-41/71,-15/26) -> (-3/26,-1/9) Hyperbolic Matrix(441,254,-1040,-599) (-15/26,-4/7) -> (-14/33,-11/26) Hyperbolic Matrix(3401,1932,-8800,-4999) (-25/44,-21/37) -> (-63/163,-17/44) Hyperbolic Matrix(1841,1044,2400,1361) (-21/37,-17/30) -> (23/30,33/43) Hyperbolic Matrix(919,520,1200,679) (-17/30,-13/23) -> (13/17,23/30) Hyperbolic Matrix(719,406,1840,1039) (-13/23,-22/39) -> (16/41,9/23) Hyperbolic Matrix(561,316,1280,721) (-22/39,-9/16) -> (7/16,18/41) Hyperbolic Matrix(559,314,1280,719) (-9/16,-23/41) -> (17/39,7/16) Hyperbolic Matrix(1281,718,2000,1121) (-23/41,-14/25) -> (16/25,25/39) Hyperbolic Matrix(1681,940,2720,1521) (-14/25,-19/34) -> (21/34,34/55) Hyperbolic Matrix(1801,1006,-4080,-2279) (-19/34,-24/43) -> (-34/77,-15/34) Hyperbolic Matrix(1599,892,3440,1919) (-24/43,-29/52) -> (13/28,20/43) Hyperbolic Matrix(879,490,4160,2319) (-29/52,-5/9) -> (15/71,11/52) Hyperbolic Matrix(439,242,-800,-441) (-5/9,-11/20) -> (-11/20,-17/31) Parabolic Matrix(719,394,2480,1359) (-17/31,-23/42) -> (11/38,9/31) Hyperbolic Matrix(1159,634,1680,919) (-23/42,-6/11) -> (20/29,29/42) Hyperbolic Matrix(199,108,-960,-521) (-6/11,-13/24) -> (-5/24,-6/29) Hyperbolic Matrix(1519,822,1920,1039) (-13/24,-20/37) -> (34/43,19/24) Hyperbolic Matrix(241,130,1040,561) (-20/37,-7/13) -> (3/13,10/43) Hyperbolic Matrix(1521,814,3440,1841) (-15/28,-23/43) -> (19/43,23/52) Hyperbolic Matrix(359,192,1120,599) (-23/43,-8/15) -> (8/25,1/3) Hyperbolic Matrix(921,490,1280,681) (-8/15,-9/17) -> (41/57,18/25) Hyperbolic Matrix(401,212,-1360,-719) (-9/17,-1/2) -> (-23/78,-5/17) Hyperbolic Matrix(519,248,-1760,-841) (-1/2,-9/19) -> (-41/139,-23/78) Hyperbolic Matrix(1001,470,1280,601) (-8/17,-7/15) -> (43/55,18/23) Hyperbolic Matrix(1039,484,1200,559) (-7/15,-20/43) -> (32/37,13/15) Hyperbolic Matrix(1919,892,3440,1599) (-20/43,-13/28) -> (29/52,24/43) Hyperbolic Matrix(401,186,-2240,-1039) (-13/28,-6/13) -> (-12/67,-5/28) Hyperbolic Matrix(799,368,1040,479) (-6/13,-17/37) -> (33/43,10/13) Hyperbolic Matrix(401,184,1920,881) (-17/37,-11/24) -> (5/24,9/43) Hyperbolic Matrix(1079,492,1840,839) (-16/35,-5/11) -> (17/29,44/75) Hyperbolic Matrix(359,162,-800,-361) (-5/11,-9/20) -> (-9/20,-13/29) Parabolic Matrix(1241,556,1520,681) (-13/29,-17/38) -> (31/38,9/11) Hyperbolic Matrix(1079,482,1520,679) (-17/38,-4/9) -> (22/31,27/38) Hyperbolic Matrix(3281,1452,4160,1841) (-4/9,-23/52) -> (41/52,56/71) Hyperbolic Matrix(1841,814,3440,1521) (-23/52,-19/43) -> (23/43,15/28) Hyperbolic Matrix(8041,3552,14400,6361) (-19/43,-53/120) -> (67/120,43/77) Hyperbolic Matrix(8039,3550,14400,6359) (-53/120,-34/77) -> (24/43,67/120) Hyperbolic Matrix(999,440,1360,599) (-15/34,-11/25) -> (11/15,25/34) Hyperbolic Matrix(719,316,2000,879) (-11/25,-18/41) -> (14/39,9/25) Hyperbolic Matrix(721,316,1280,561) (-18/41,-7/16) -> (9/16,22/39) Hyperbolic Matrix(719,314,1280,559) (-7/16,-17/39) -> (23/41,9/16) Hyperbolic Matrix(1121,488,1840,801) (-17/39,-10/23) -> (14/23,25/41) Hyperbolic Matrix(281,122,1200,521) (-10/23,-13/30) -> (7/30,4/17) Hyperbolic Matrix(559,242,2400,1039) (-13/30,-16/37) -> (10/43,7/30) Hyperbolic Matrix(839,362,-2320,-1001) (-16/37,-3/7) -> (-17/47,-30/83) Hyperbolic Matrix(921,392,1600,681) (-3/7,-17/40) -> (23/40,19/33) Hyperbolic Matrix(919,390,1600,679) (-17/40,-14/33) -> (4/7,23/40) Hyperbolic Matrix(1121,474,-4160,-1759) (-11/26,-30/71) -> (-24/89,-7/26) Hyperbolic Matrix(2599,1098,6720,2839) (-30/71,-19/45) -> (29/75,12/31) Hyperbolic Matrix(199,84,1040,439) (-19/45,-8/19) -> (4/21,1/5) Hyperbolic Matrix(1559,654,2000,839) (-34/81,-13/31) -> (7/9,32/41) Hyperbolic Matrix(401,168,-2480,-1039) (-13/31,-31/74) -> (-1/6,-5/31) Hyperbolic Matrix(14881,6232,25600,10721) (-49/117,-67/160) -> (93/160,25/43) Hyperbolic Matrix(14879,6230,25600,10719) (-67/160,-18/43) -> (68/117,93/160) Hyperbolic Matrix(961,402,-3440,-1439) (-18/43,-5/12) -> (-19/68,-12/43) Hyperbolic Matrix(1319,548,-4720,-1961) (-5/12,-22/53) -> (-26/93,-19/68) Hyperbolic Matrix(2719,1128,4240,1759) (-22/53,-17/41) -> (25/39,34/53) Hyperbolic Matrix(439,182,480,199) (-17/41,-29/70) -> (9/10,1/1) Hyperbolic Matrix(2081,862,2320,961) (-29/70,-41/99) -> (17/19,9/10) Hyperbolic Matrix(2039,844,2800,1159) (-41/99,-12/29) -> (8/11,43/59) Hyperbolic Matrix(1001,414,1840,761) (-12/29,-31/75) -> (19/35,6/11) Hyperbolic Matrix(6959,2876,18000,7439) (-31/75,-50/121) -> (46/119,29/75) Hyperbolic Matrix(3761,1552,6400,2641) (-26/63,-33/80) -> (47/80,10/17) Hyperbolic Matrix(3759,1550,6400,2639) (-33/80,-7/17) -> (37/63,47/80) Hyperbolic Matrix(399,164,1360,559) (-7/17,-16/39) -> (12/41,5/17) Hyperbolic Matrix(3121,1280,8000,3281) (-16/39,-41/100) -> (39/100,16/41) Hyperbolic Matrix(4679,1918,12000,4919) (-41/100,-25/61) -> (23/59,39/100) Hyperbolic Matrix(1201,492,1760,721) (-25/61,-9/22) -> (15/22,13/19) Hyperbolic Matrix(201,82,-880,-359) (-9/22,-2/5) -> (-8/35,-5/22) Hyperbolic Matrix(439,174,-1920,-761) (-2/5,-15/38) -> (-27/118,-8/35) Hyperbolic Matrix(559,220,2640,1039) (-13/33,-11/28) -> (11/52,7/33) Hyperbolic Matrix(199,78,1120,439) (-11/28,-9/23) -> (3/17,5/28) Hyperbolic Matrix(1039,406,1840,719) (-9/23,-16/41) -> (22/39,13/23) Hyperbolic Matrix(3281,1280,8000,3121) (-16/41,-39/100) -> (41/100,16/39) Hyperbolic Matrix(4919,1918,12000,4679) (-39/100,-23/59) -> (25/61,41/100) Hyperbolic Matrix(601,234,2160,841) (-23/59,-7/18) -> (5/18,17/61) Hyperbolic Matrix(3921,1520,6400,2481) (-19/49,-31/80) -> (49/80,19/31) Hyperbolic Matrix(3919,1518,6400,2479) (-31/80,-12/31) -> (30/49,49/80) Hyperbolic Matrix(2839,1098,6720,2599) (-12/31,-29/75) -> (19/45,30/71) Hyperbolic Matrix(12199,4716,19760,7639) (-29/75,-46/119) -> (50/81,71/115) Hyperbolic Matrix(9759,3772,-42640,-16481) (-46/119,-63/163) -> (-19/83,-46/201) Hyperbolic Matrix(1239,478,1760,679) (-17/44,-5/13) -> (19/27,31/44) Hyperbolic Matrix(679,260,2400,919) (-18/47,-31/81) -> (11/39,2/7) Hyperbolic Matrix(12121,4638,19760,7561) (-31/81,-44/115) -> (46/75,73/119) Hyperbolic Matrix(1199,458,2720,1039) (-13/34,-21/55) -> (11/25,15/34) Hyperbolic Matrix(201,76,320,121) (-8/21,-3/8) -> (5/8,12/19) Hyperbolic Matrix(199,74,320,119) (-3/8,-7/19) -> (13/21,5/8) Hyperbolic Matrix(1319,484,-3600,-1321) (-18/49,-11/30) -> (-11/30,-26/71) Parabolic Matrix(721,264,3280,1201) (-26/71,-15/41) -> (9/41,2/9) Hyperbolic Matrix(159,58,-880,-321) (-15/41,-4/11) -> (-2/11,-7/39) Hyperbolic Matrix(199,72,-1440,-521) (-4/11,-17/47) -> (-1/7,-4/29) Hyperbolic Matrix(4759,1720,-17600,-6361) (-30/83,-43/119) -> (-43/159,-10/37) Hyperbolic Matrix(1319,476,4320,1559) (-13/36,-22/61) -> (18/59,11/36) Hyperbolic Matrix(1681,606,2000,721) (-22/61,-9/25) -> (21/25,16/19) Hyperbolic Matrix(879,316,2000,719) (-9/25,-14/39) -> (18/41,11/25) Hyperbolic Matrix(2481,890,4240,1521) (-14/39,-19/53) -> (31/53,24/41) Hyperbolic Matrix(9241,3312,14400,5161) (-19/53,-43/120) -> (77/120,43/67) Hyperbolic Matrix(9239,3310,14400,5159) (-43/120,-24/67) -> (34/53,77/120) Hyperbolic Matrix(439,156,560,199) (-5/14,-6/17) -> (18/23,11/14) Hyperbolic Matrix(279,98,-800,-281) (-6/17,-7/20) -> (-7/20,-8/23) Parabolic Matrix(759,262,1040,359) (-8/23,-1/3) -> (27/37,46/63) Hyperbolic Matrix(119,38,-880,-281) (-1/3,-7/22) -> (-3/22,-5/37) Hyperbolic Matrix(1039,330,1760,559) (-7/22,-6/19) -> (36/61,13/22) Hyperbolic Matrix(121,38,640,201) (-6/19,-5/16) -> (3/16,4/21) Hyperbolic Matrix(761,236,1680,521) (-9/29,-13/42) -> (19/42,5/11) Hyperbolic Matrix(2361,730,2720,841) (-13/42,-17/55) -> (13/15,33/38) Hyperbolic Matrix(1839,568,4400,1359) (-17/55,-4/13) -> (28/67,23/55) Hyperbolic Matrix(119,36,-400,-121) (-4/13,-3/10) -> (-3/10,-8/27) Parabolic Matrix(1081,320,1760,521) (-8/27,-13/44) -> (27/44,8/13) Hyperbolic Matrix(1761,520,4880,1441) (-13/44,-18/61) -> (22/61,13/36) Hyperbolic Matrix(28201,8320,40000,11801) (-18/61,-59/200) -> (141/200,98/139) Hyperbolic Matrix(28199,8318,40000,11799) (-59/200,-41/139) -> (43/61,141/200) Hyperbolic Matrix(559,164,1360,399) (-5/17,-12/41) -> (16/39,7/17) Hyperbolic Matrix(2041,596,2880,841) (-19/65,-7/24) -> (17/24,39/55) Hyperbolic Matrix(2039,594,2880,839) (-7/24,-16/55) -> (46/65,17/24) Hyperbolic Matrix(399,116,-2480,-721) (-16/55,-9/31) -> (-5/31,-4/25) Hyperbolic Matrix(841,244,1520,441) (-9/31,-11/38) -> (21/38,5/9) Hyperbolic Matrix(2359,682,-8720,-2521) (-11/38,-13/45) -> (-23/85,-33/122) Hyperbolic Matrix(919,260,2400,679) (-2/7,-11/39) -> (31/81,18/47) Hyperbolic Matrix(561,158,2560,721) (-11/39,-9/32) -> (7/32,9/41) Hyperbolic Matrix(599,168,1280,359) (-16/57,-7/25) -> (7/15,8/17) Hyperbolic Matrix(5479,1532,6720,1879) (-7/25,-26/93) -> (22/27,53/65) Hyperbolic Matrix(2719,758,3440,959) (-12/43,-17/61) -> (15/19,34/43) Hyperbolic Matrix(841,234,2160,601) (-17/61,-5/18) -> (7/18,23/59) Hyperbolic Matrix(1161,320,1600,441) (-8/29,-11/40) -> (29/40,8/11) Hyperbolic Matrix(1159,318,1600,439) (-11/40,-3/11) -> (21/29,29/40) Hyperbolic Matrix(1641,446,2800,761) (-3/11,-16/59) -> (58/99,17/29) Hyperbolic Matrix(13199,3570,-57680,-15601) (-33/122,-43/159) -> (-73/319,-27/118) Hyperbolic Matrix(681,184,1040,281) (-10/37,-17/63) -> (15/23,2/3) Hyperbolic Matrix(18721,5032,25600,6881) (-25/93,-43/160) -> (117/160,49/67) Hyperbolic Matrix(18719,5030,25600,6879) (-43/160,-18/67) -> (68/93,117/160) Hyperbolic Matrix(961,258,-5360,-1439) (-18/67,-11/41) -> (-7/39,-12/67) Hyperbolic Matrix(1001,268,3440,921) (-15/56,-4/15) -> (16/55,7/24) Hyperbolic Matrix(761,202,1360,361) (-4/15,-9/34) -> (19/34,14/25) Hyperbolic Matrix(39,10,-160,-41) (-5/19,-1/4) -> (-1/4,-5/21) Parabolic Matrix(4881,1160,6400,1521) (-5/21,-19/80) -> (61/80,45/59) Hyperbolic Matrix(4879,1158,6400,1519) (-19/80,-14/59) -> (16/21,61/80) Hyperbolic Matrix(3719,880,4560,1079) (-9/38,-13/55) -> (53/65,31/38) Hyperbolic Matrix(521,122,1200,281) (-4/17,-7/30) -> (13/30,10/23) Hyperbolic Matrix(1039,242,2400,559) (-7/30,-10/43) -> (16/37,13/30) Hyperbolic Matrix(561,130,1040,241) (-10/43,-3/13) -> (7/13,20/37) Hyperbolic Matrix(879,202,1040,239) (-3/13,-11/48) -> (27/32,11/13) Hyperbolic Matrix(208521,47720,270400,61881) (-46/201,-119/520) -> (401/520,246/319) Hyperbolic Matrix(208519,47718,270400,61879) (-119/520,-73/319) -> (155/201,401/520) Hyperbolic Matrix(1241,280,1600,361) (-7/31,-9/40) -> (31/40,7/9) Hyperbolic Matrix(1239,278,1600,359) (-9/40,-2/9) -> (24/31,31/40) Hyperbolic Matrix(1161,256,2000,441) (-2/9,-9/41) -> (47/81,18/31) Hyperbolic Matrix(721,158,2560,561) (-9/41,-7/32) -> (9/32,11/39) Hyperbolic Matrix(679,148,1280,279) (-12/55,-5/23) -> (9/17,8/15) Hyperbolic Matrix(361,78,560,121) (-5/23,-3/14) -> (9/14,11/17) Hyperbolic Matrix(5041,1072,6400,1361) (-10/47,-17/80) -> (63/80,26/33) Hyperbolic Matrix(5039,1070,6400,1359) (-17/80,-7/33) -> (37/47,63/80) Hyperbolic Matrix(1039,220,2640,559) (-7/33,-11/52) -> (11/28,13/33) Hyperbolic Matrix(2319,490,4160,879) (-11/52,-15/71) -> (5/9,29/52) Hyperbolic Matrix(161,34,1520,321) (-15/71,-4/19) -> (2/19,1/9) Hyperbolic Matrix(2481,520,3440,721) (-4/19,-9/43) -> (31/43,44/61) Hyperbolic Matrix(881,184,1920,401) (-9/43,-5/24) -> (11/24,17/37) Hyperbolic Matrix(959,198,2320,479) (-6/29,-1/5) -> (31/75,12/29) Hyperbolic Matrix(439,84,1040,199) (-1/5,-4/21) -> (8/19,19/45) Hyperbolic Matrix(201,38,640,121) (-4/21,-3/16) -> (5/16,6/19) Hyperbolic Matrix(4841,894,6720,1241) (-5/27,-12/65) -> (18/25,67/93) Hyperbolic Matrix(3481,642,4560,841) (-12/65,-7/38) -> (29/38,42/55) Hyperbolic Matrix(839,154,1520,279) (-7/38,-2/11) -> (16/29,21/38) Hyperbolic Matrix(439,78,1120,199) (-5/28,-3/17) -> (9/23,11/28) Hyperbolic Matrix(1321,232,1600,281) (-3/17,-7/40) -> (33/40,19/23) Hyperbolic Matrix(1319,230,1600,279) (-7/40,-4/23) -> (14/17,33/40) Hyperbolic Matrix(1279,204,2000,319) (-4/25,-3/19) -> (39/61,16/25) Hyperbolic Matrix(2319,364,5600,879) (-3/19,-8/51) -> (12/29,41/99) Hyperbolic Matrix(801,124,1040,161) (-5/32,-2/13) -> (10/13,37/48) Hyperbolic Matrix(119,18,-800,-121) (-2/13,-3/20) -> (-3/20,-4/27) Parabolic Matrix(5521,760,6400,881) (-4/29,-11/80) -> (69/80,44/51) Hyperbolic Matrix(5519,758,6400,879) (-11/80,-7/51) -> (25/29,69/80) Hyperbolic Matrix(641,86,1200,161) (-5/37,-2/15) -> (8/15,23/43) Hyperbolic Matrix(1879,248,2720,359) (-2/15,-5/38) -> (29/42,38/55) Hyperbolic Matrix(281,36,320,41) (-3/23,-1/8) -> (7/8,15/17) Hyperbolic Matrix(279,34,320,39) (-1/8,-2/17) -> (20/23,7/8) Hyperbolic Matrix(321,34,1520,161) (-1/9,-2/19) -> (4/19,15/71) Hyperbolic Matrix(1359,140,2320,239) (-2/19,-1/10) -> (41/70,58/99) Hyperbolic Matrix(281,24,480,41) (-1/10,0/1) -> (24/41,41/70) Hyperbolic Matrix(1519,-176,2080,-241) (1/9,2/17) -> (46/63,65/89) Hyperbolic Matrix(1161,-152,1520,-199) (3/23,2/15) -> (42/55,13/17) Hyperbolic Matrix(281,-38,880,-119) (2/15,3/22) -> (7/22,8/25) Hyperbolic Matrix(521,-72,1440,-199) (3/22,1/7) -> (17/47,21/58) Hyperbolic Matrix(839,-124,1360,-201) (1/7,3/20) -> (37/60,29/47) Hyperbolic Matrix(641,-98,1040,-159) (3/20,2/13) -> (8/13,37/60) Hyperbolic Matrix(2041,-320,2800,-439) (5/32,3/19) -> (43/59,35/48) Hyperbolic Matrix(1039,-168,2480,-401) (4/25,1/6) -> (31/74,44/105) Hyperbolic Matrix(199,-34,240,-41) (1/6,3/17) -> (19/23,5/6) Hyperbolic Matrix(321,-58,880,-159) (5/28,2/11) -> (4/11,19/52) Hyperbolic Matrix(441,-82,640,-119) (2/11,3/16) -> (11/16,20/29) Hyperbolic Matrix(521,-108,960,-199) (1/5,5/24) -> (13/24,19/35) Hyperbolic Matrix(881,-188,1120,-239) (7/33,3/14) -> (11/14,37/47) Hyperbolic Matrix(1841,-402,2560,-559) (5/23,7/32) -> (23/32,41/57) Hyperbolic Matrix(681,-154,880,-199) (2/9,5/22) -> (17/22,24/31) Hyperbolic Matrix(359,-82,880,-201) (5/22,3/13) -> (11/27,9/22) Hyperbolic Matrix(41,-10,160,-39) (4/17,1/4) -> (1/4,6/23) Parabolic Matrix(1599,-418,1840,-481) (6/23,11/42) -> (33/38,20/23) Hyperbolic Matrix(2441,-640,3200,-839) (11/42,5/19) -> (45/59,29/38) Hyperbolic Matrix(841,-222,1360,-359) (5/19,4/15) -> (34/55,13/21) Hyperbolic Matrix(2321,-622,3280,-879) (4/15,11/41) -> (29/41,46/65) Hyperbolic Matrix(1519,-408,3280,-881) (11/41,18/67) -> (6/13,19/41) Hyperbolic Matrix(3041,-818,4160,-1119) (18/67,7/26) -> (19/26,68/93) Hyperbolic Matrix(1839,-496,2080,-561) (7/26,17/63) -> (15/17,23/26) Hyperbolic Matrix(4441,-1202,5760,-1559) (10/37,13/48) -> (37/48,64/83) Hyperbolic Matrix(2361,-640,2800,-759) (13/48,3/11) -> (43/51,27/32) Hyperbolic Matrix(521,-144,720,-199) (3/11,5/18) -> (13/18,21/29) Hyperbolic Matrix(1439,-402,3440,-961) (12/43,7/25) -> (23/55,18/43) Hyperbolic Matrix(2001,-562,2560,-719) (7/25,9/32) -> (25/32,43/55) Hyperbolic Matrix(921,-266,1520,-439) (2/7,11/38) -> (23/38,20/33) Hyperbolic Matrix(2079,-604,4960,-1441) (9/31,16/55) -> (44/105,13/31) Hyperbolic Matrix(2401,-702,3280,-959) (7/24,12/41) -> (30/41,41/56) Hyperbolic Matrix(121,-36,400,-119) (5/17,3/10) -> (3/10,7/23) Parabolic Matrix(761,-232,1440,-439) (7/23,18/59) -> (10/19,9/17) Hyperbolic Matrix(521,-162,640,-199) (4/13,5/16) -> (13/16,22/27) Hyperbolic Matrix(281,-98,800,-279) (1/3,7/20) -> (7/20,13/37) Parabolic Matrix(1079,-386,1680,-601) (5/14,19/53) -> (43/67,9/14) Hyperbolic Matrix(1001,-362,2320,-839) (13/36,17/47) -> (3/7,19/44) Hyperbolic Matrix(2761,-1000,3200,-1159) (21/58,4/11) -> (44/51,19/22) Hyperbolic Matrix(1521,-556,3280,-1199) (19/52,15/41) -> (19/41,13/28) Hyperbolic Matrix(2599,-952,4480,-1641) (15/41,11/30) -> (29/50,47/81) Hyperbolic Matrix(881,-324,1520,-559) (11/30,7/19) -> (11/19,29/50) Hyperbolic Matrix(1001,-382,1360,-519) (8/21,13/34) -> (25/34,14/19) Hyperbolic Matrix(4601,-1760,7840,-2999) (13/34,31/81) -> (71/121,27/46) Hyperbolic Matrix(1159,-444,1360,-521) (18/47,5/13) -> (23/27,6/7) Hyperbolic Matrix(6081,-2350,9520,-3679) (17/44,46/119) -> (76/119,23/36) Hyperbolic Matrix(881,-342,1440,-559) (12/31,7/18) -> (11/18,30/49) Hyperbolic Matrix(1081,-426,1520,-599) (13/33,2/5) -> (32/45,5/7) Hyperbolic Matrix(2159,-876,2960,-1201) (2/5,13/32) -> (35/48,62/85) Hyperbolic Matrix(2161,-892,3680,-1519) (7/17,19/46) -> (27/46,37/63) Hyperbolic Matrix(4841,-2000,7840,-3239) (19/46,31/75) -> (71/115,21/34) Hyperbolic Matrix(601,-250,1440,-599) (22/53,5/12) -> (5/12,28/67) Parabolic Matrix(6881,-2882,11840,-4959) (18/43,31/74) -> (43/74,68/117) Hyperbolic Matrix(961,-404,1520,-639) (13/31,8/19) -> (12/19,31/49) Hyperbolic Matrix(1841,-778,2080,-879) (30/71,11/26) -> (23/26,8/9) Hyperbolic Matrix(599,-254,1040,-441) (11/26,3/7) -> (19/33,15/26) Hyperbolic Matrix(5399,-2332,8800,-3801) (19/44,16/37) -> (100/163,27/44) Hyperbolic Matrix(2279,-1006,4080,-1801) (15/34,19/43) -> (43/77,19/34) Hyperbolic Matrix(361,-162,800,-359) (4/9,9/20) -> (9/20,14/31) Parabolic Matrix(761,-348,960,-439) (5/11,11/24) -> (19/24,23/29) Hyperbolic Matrix(959,-452,1360,-641) (8/17,1/2) -> (55/78,12/17) Hyperbolic Matrix(1241,-648,1760,-919) (1/2,10/19) -> (98/139,55/78) Hyperbolic Matrix(1839,-986,2240,-1201) (15/28,7/13) -> (55/67,23/28) Hyperbolic Matrix(441,-242,800,-439) (6/11,11/20) -> (11/20,16/29) Parabolic Matrix(1481,-842,2320,-1319) (21/37,4/7) -> (30/47,53/83) Hyperbolic Matrix(3039,-1754,4160,-2401) (15/26,41/71) -> (65/89,19/26) Hyperbolic Matrix(2079,-1208,2480,-1441) (18/31,43/74) -> (5/6,26/31) Hyperbolic Matrix(2479,-1442,3440,-2001) (25/43,7/12) -> (49/68,31/43) Hyperbolic Matrix(3401,-1988,4720,-2759) (7/12,31/53) -> (67/93,49/68) Hyperbolic Matrix(679,-402,880,-521) (13/22,3/5) -> (27/35,17/22) Hyperbolic Matrix(1481,-894,1920,-1159) (3/5,23/38) -> (91/118,27/35) Hyperbolic Matrix(32881,-20172,42640,-26159) (73/119,100/163) -> (64/83,155/201) Hyperbolic Matrix(2281,-1444,3600,-2279) (31/49,19/30) -> (19/30,45/71) Parabolic Matrix(721,-458,880,-559) (26/41,7/11) -> (9/11,32/39) Hyperbolic Matrix(1241,-792,1440,-919) (7/11,30/47) -> (6/7,25/29) Hyperbolic Matrix(12841,-8200,17600,-11239) (53/83,76/119) -> (116/159,27/37) Hyperbolic Matrix(521,-338,800,-519) (11/17,13/20) -> (13/20,15/23) Parabolic Matrix(761,-518,880,-599) (2/3,15/22) -> (19/22,32/37) Hyperbolic Matrix(281,-196,400,-279) (9/13,7/10) -> (7/10,19/27) Parabolic Matrix(2081,-1476,2480,-1759) (39/55,22/31) -> (26/31,21/25) Hyperbolic Matrix(6361,-4522,8720,-6199) (27/38,32/45) -> (62/85,89/122) Hyperbolic Matrix(44481,-32450,57680,-42079) (89/122,116/159) -> (246/319,91/118) Hyperbolic Matrix(4399,-3218,5360,-3921) (49/67,30/41) -> (32/39,55/67) Hyperbolic Matrix(121,-90,160,-119) (14/19,3/4) -> (3/4,16/21) Parabolic Matrix(681,-578,800,-679) (11/13,17/20) -> (17/20,23/27) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-76,1) Matrix(199,182,480,439) -> Matrix(277,-8,-4328,125) Matrix(961,862,2320,2081) -> Matrix(743,-22,-11584,343) Matrix(1199,1072,1520,1359) -> Matrix(203,-6,-6056,179) Matrix(561,496,-2080,-1839) -> Matrix(133,-4,1164,-35) Matrix(41,36,320,281) -> Matrix(133,-4,-698,21) Matrix(39,34,320,279) -> Matrix(131,-4,-622,19) Matrix(359,312,-1520,-1321) -> Matrix(65,-2,618,-19) Matrix(599,518,-880,-761) -> Matrix(65,-2,1788,-55) Matrix(919,792,-1440,-1241) -> Matrix(519,-16,12748,-393) Matrix(521,444,-1360,-1159) -> Matrix(65,-2,878,-27) Matrix(399,338,-1040,-881) -> Matrix(191,-6,2706,-85) Matrix(521,440,1280,1081) -> Matrix(125,-4,-1906,61) Matrix(759,640,-2800,-2361) -> Matrix(65,-2,618,-19) Matrix(721,606,2000,1681) -> Matrix(317,-10,-4216,133) Matrix(1441,1208,-2480,-2079) -> Matrix(695,-22,15448,-489) Matrix(41,34,-240,-199) -> Matrix(63,-2,410,-13) Matrix(681,560,1120,921) -> Matrix(1,0,-54,1) Matrix(559,458,-880,-721) -> Matrix(59,-2,1446,-49) Matrix(199,162,-640,-521) -> Matrix(123,-4,1384,-45) Matrix(439,356,640,519) -> Matrix(121,-4,-3176,105) Matrix(601,486,1040,841) -> Matrix(181,-6,-4012,133) Matrix(439,348,-960,-761) -> Matrix(123,-4,2122,-69) Matrix(1039,822,1920,1519) -> Matrix(237,-8,-4888,165) Matrix(959,758,3440,2719) -> Matrix(61,-2,-640,21) Matrix(1359,1072,1520,1199) -> Matrix(179,-6,-6056,203) Matrix(1841,1452,4160,3281) -> Matrix(237,-8,-3940,133) Matrix(1601,1262,2640,2081) -> Matrix(297,-10,-6920,233) Matrix(239,188,-1120,-881) -> Matrix(117,-4,1024,-35) Matrix(199,156,560,439) -> Matrix(59,-2,-796,27) Matrix(719,562,-2560,-2001) -> Matrix(1,0,-16,1) Matrix(1839,1436,2560,1999) -> Matrix(1,0,-60,1) Matrix(2079,1622,3280,2559) -> Matrix(181,-6,-4374,145) Matrix(199,154,-880,-681) -> Matrix(57,-2,542,-19) Matrix(521,402,-880,-679) -> Matrix(59,-2,1328,-45) Matrix(479,368,1040,799) -> Matrix(63,-2,-1102,35) Matrix(1361,1044,2400,1841) -> Matrix(119,-4,-2588,87) Matrix(679,520,1200,919) -> Matrix(55,-2,-1182,43) Matrix(119,90,-160,-121) -> Matrix(1,0,0,1) Matrix(241,178,-1840,-1359) -> Matrix(57,-2,314,-11) Matrix(759,560,-3200,-2361) -> Matrix(115,-4,1064,-37) Matrix(519,382,-1360,-1001) -> Matrix(55,-2,798,-29) Matrix(959,702,-3280,-2401) -> Matrix(53,-2,610,-23) Matrix(1761,1288,-3280,-2399) -> Matrix(39,-2,800,-41) Matrix(1119,818,-4160,-3041) -> Matrix(1,0,-24,1) Matrix(241,176,-2080,-1519) -> Matrix(117,-4,556,-19) Matrix(1041,760,2960,2161) -> Matrix(175,-6,-2304,79) Matrix(1319,962,-5760,-4201) -> Matrix(115,-4,1064,-37) Matrix(439,320,-2800,-2041) -> Matrix(57,-2,314,-11) Matrix(199,144,-720,-521) -> Matrix(55,-2,578,-21) Matrix(1319,952,2160,1559) -> Matrix(59,-2,-1386,47) Matrix(721,520,3440,2481) -> Matrix(55,-2,-412,15) Matrix(2001,1442,-3440,-2479) -> Matrix(273,-10,6088,-223) Matrix(559,402,-2560,-1841) -> Matrix(1,0,-16,1) Matrix(1999,1436,2560,1839) -> Matrix(1,0,-60,1) Matrix(1481,1062,2400,1721) -> Matrix(1,0,-52,1) Matrix(599,426,-1520,-1081) -> Matrix(163,-6,2418,-89) Matrix(1121,796,2480,1761) -> Matrix(271,-10,-4634,171) Matrix(2881,2044,-4960,-3519) -> Matrix(103,-4,2292,-89) Matrix(2519,1786,3440,2439) -> Matrix(55,-2,-1512,55) Matrix(879,622,-3280,-2321) -> Matrix(53,-2,610,-23) Matrix(801,566,1360,961) -> Matrix(49,-2,-1102,45) Matrix(279,196,-400,-281) -> Matrix(55,-2,1458,-53) Matrix(679,472,-1440,-1001) -> Matrix(209,-8,3736,-143) Matrix(2761,1918,4320,3001) -> Matrix(205,-8,-5048,197) Matrix(401,278,1040,721) -> Matrix(57,-2,-826,29) Matrix(119,82,-640,-441) -> Matrix(107,-4,776,-29) Matrix(519,356,640,439) -> Matrix(105,-4,-3176,121) Matrix(721,492,1760,1201) -> Matrix(101,-4,-1540,61) Matrix(521,354,1120,761) -> Matrix(213,-8,-3754,141) Matrix(519,338,-800,-521) -> Matrix(201,-8,5000,-199) Matrix(799,518,2960,1919) -> Matrix(149,-6,-1316,53) Matrix(121,78,560,361) -> Matrix(49,-2,-416,17) Matrix(601,386,-1680,-1079) -> Matrix(49,-2,662,-27) Matrix(1759,1128,4240,2719) -> Matrix(647,-26,-10128,407) Matrix(1121,718,2000,1281) -> Matrix(445,-18,-9518,385) Matrix(319,204,2000,1279) -> Matrix(247,-10,-1556,63) Matrix(3439,2198,4880,3119) -> Matrix(345,-14,-9586,389) Matrix(1319,842,-2320,-1481) -> Matrix(639,-26,13886,-565) Matrix(439,280,-3200,-2041) -> Matrix(883,-36,4832,-197) Matrix(1759,1116,-3280,-2081) -> Matrix(825,-34,16864,-695) Matrix(1881,1192,-4480,-2839) -> Matrix(289,-12,4600,-191) Matrix(639,404,-1520,-961) -> Matrix(145,-6,2296,-95) Matrix(121,76,320,201) -> Matrix(97,-4,-1382,57) Matrix(119,74,320,199) -> Matrix(95,-4,-1306,55) Matrix(359,222,-1360,-841) -> Matrix(47,-2,494,-21) Matrix(3239,2000,-7840,-4841) -> Matrix(563,-24,8750,-373) Matrix(1721,1062,2400,1481) -> Matrix(1,0,-52,1) Matrix(201,124,-1360,-839) -> Matrix(49,-2,270,-11) Matrix(319,196,1040,639) -> Matrix(47,-2,-446,19) Matrix(3439,2110,-9520,-5841) -> Matrix(1085,-46,14506,-615) Matrix(10561,6478,18000,11041) -> Matrix(3817,-162,-85694,3637) Matrix(3881,2380,6720,4121) -> Matrix(1225,-52,-27162,1153) Matrix(559,342,-1440,-881) -> Matrix(469,-20,6824,-291) Matrix(1559,952,2160,1319) -> Matrix(47,-2,-1386,59) Matrix(7081,4320,12000,7321) -> Matrix(1681,-72,-38126,1633) Matrix(4719,2878,8000,4879) -> Matrix(1679,-72,-38034,1631) Matrix(801,488,1840,1121) -> Matrix(325,-14,-5316,229) Matrix(921,560,1120,681) -> Matrix(1,0,-54,1) Matrix(2081,1262,2640,1601) -> Matrix(233,-10,-6920,297) Matrix(439,266,-1520,-921) -> Matrix(139,-6,1506,-65) Matrix(801,476,-2960,-1759) -> Matrix(137,-6,1256,-55) Matrix(199,118,1280,759) -> Matrix(91,-4,-614,27) Matrix(559,330,1760,1039) -> Matrix(91,-4,-1160,51) Matrix(7321,4320,12000,7081) -> Matrix(1633,-72,-38126,1681) Matrix(4879,2878,8000,4719) -> Matrix(1631,-72,-38034,1679) Matrix(961,566,1360,801) -> Matrix(45,-2,-1102,49) Matrix(1519,892,-3680,-2161) -> Matrix(1349,-60,20932,-931) Matrix(2999,1760,-7840,-4601) -> Matrix(539,-24,7838,-349) Matrix(1841,1080,2320,1361) -> Matrix(45,-2,-1552,69) Matrix(4721,2766,5600,3281) -> Matrix(269,-12,-8720,389) Matrix(239,140,2320,1359) -> Matrix(493,-22,-2084,93) Matrix(41,24,480,281) -> Matrix(179,-8,-604,27) Matrix(1521,890,4240,2481) -> Matrix(581,-26,-7620,341) Matrix(839,490,-1440,-841) -> Matrix(1,0,0,1) Matrix(3041,1770,4400,2561) -> Matrix(223,-10,-5954,267) Matrix(4959,2882,-11840,-6881) -> Matrix(2313,-104,36452,-1639) Matrix(559,324,-1520,-881) -> Matrix(133,-6,1840,-83) Matrix(841,486,1040,601) -> Matrix(133,-6,-4012,181) Matrix(4121,2380,6720,3881) -> Matrix(1153,-52,-27162,1225) Matrix(239,138,-2080,-1201) -> Matrix(443,-20,2060,-93) Matrix(441,254,-1040,-599) -> Matrix(397,-18,6330,-287) Matrix(3401,1932,-8800,-4999) -> Matrix(1389,-64,20032,-923) Matrix(1841,1044,2400,1361) -> Matrix(87,-4,-2588,119) Matrix(919,520,1200,679) -> Matrix(43,-2,-1182,55) Matrix(719,406,1840,1039) -> Matrix(303,-14,-4480,207) Matrix(561,316,1280,721) -> Matrix(517,-24,-8552,397) Matrix(559,314,1280,719) -> Matrix(515,-24,-8476,395) Matrix(1281,718,2000,1121) -> Matrix(385,-18,-9518,445) Matrix(1681,940,2720,1521) -> Matrix(85,-4,-1976,93) Matrix(1801,1006,-4080,-2279) -> Matrix(641,-30,10662,-499) Matrix(1599,892,3440,1919) -> Matrix(553,-26,-9720,457) Matrix(879,490,4160,2319) -> Matrix(171,-8,-1432,67) Matrix(439,242,-800,-441) -> Matrix(337,-16,7056,-335) Matrix(719,394,2480,1359) -> Matrix(209,-10,-2278,109) Matrix(1159,634,1680,919) -> Matrix(209,-10,-5622,269) Matrix(199,108,-960,-521) -> Matrix(83,-4,602,-29) Matrix(1519,822,1920,1039) -> Matrix(165,-8,-4888,237) Matrix(241,130,1040,561) -> Matrix(41,-2,-266,13) Matrix(1521,814,3440,1841) -> Matrix(531,-26,-8884,435) Matrix(359,192,1120,599) -> Matrix(163,-8,-1854,91) Matrix(921,490,1280,681) -> Matrix(81,-4,-2126,105) Matrix(401,212,-1360,-719) -> Matrix(121,-6,1190,-59) Matrix(519,248,-1760,-841) -> Matrix(145,-8,1432,-79) Matrix(1001,470,1280,601) -> Matrix(71,-4,-1970,111) Matrix(1039,484,1200,559) -> Matrix(247,-14,-8098,459) Matrix(1919,892,3440,1599) -> Matrix(457,-26,-9720,553) Matrix(401,186,-2240,-1039) -> Matrix(281,-16,2090,-119) Matrix(799,368,1040,479) -> Matrix(35,-2,-1102,63) Matrix(401,184,1920,881) -> Matrix(139,-8,-1164,67) Matrix(1079,492,1840,839) -> Matrix(517,-30,-11598,673) Matrix(359,162,-800,-361) -> Matrix(273,-16,4624,-271) Matrix(1241,556,1520,681) -> Matrix(169,-10,-5222,309) Matrix(1079,482,1520,679) -> Matrix(101,-6,-2710,161) Matrix(3281,1452,4160,1841) -> Matrix(133,-8,-3940,237) Matrix(1841,814,3440,1521) -> Matrix(435,-26,-8884,531) Matrix(8041,3552,14400,6361) -> Matrix(1801,-108,-38438,2305) Matrix(8039,3550,14400,6359) -> Matrix(1799,-108,-38362,2303) Matrix(999,440,1360,599) -> Matrix(33,-2,-874,53) Matrix(719,316,2000,879) -> Matrix(299,-18,-3970,239) Matrix(721,316,1280,561) -> Matrix(397,-24,-8552,517) Matrix(719,314,1280,559) -> Matrix(395,-24,-8476,515) Matrix(1121,488,1840,801) -> Matrix(229,-14,-5316,325) Matrix(281,122,1200,521) -> Matrix(33,-2,-346,21) Matrix(559,242,2400,1039) -> Matrix(65,-4,-536,33) Matrix(839,362,-2320,-1001) -> Matrix(423,-26,5678,-349) Matrix(921,392,1600,681) -> Matrix(449,-28,-9894,617) Matrix(919,390,1600,679) -> Matrix(447,-28,-9818,615) Matrix(1121,474,-4160,-1759) -> Matrix(127,-8,1032,-65) Matrix(2599,1098,6720,2839) -> Matrix(823,-52,-11886,751) Matrix(199,84,1040,439) -> Matrix(95,-6,-744,47) Matrix(1559,654,2000,839) -> Matrix(95,-6,-2834,179) Matrix(401,168,-2480,-1039) -> Matrix(347,-22,2224,-141) Matrix(14881,6232,25600,10721) -> Matrix(3529,-224,-78536,4985) Matrix(14879,6230,25600,10719) -> Matrix(3527,-224,-78460,4983) Matrix(961,402,-3440,-1439) -> Matrix(157,-10,1680,-107) Matrix(1319,548,-4720,-1961) -> Matrix(157,-10,1680,-107) Matrix(2719,1128,4240,1759) -> Matrix(407,-26,-10128,647) Matrix(439,182,480,199) -> Matrix(125,-8,-4328,277) Matrix(2081,862,2320,961) -> Matrix(343,-22,-11584,743) Matrix(2039,844,2800,1159) -> Matrix(31,-2,-790,51) Matrix(1001,414,1840,761) -> Matrix(467,-30,-9698,623) Matrix(6959,2876,18000,7439) -> Matrix(2519,-162,-36370,2339) Matrix(3761,1552,6400,2641) -> Matrix(1613,-104,-36308,2341) Matrix(3759,1550,6400,2639) -> Matrix(1611,-104,-36232,2339) Matrix(399,164,1360,559) -> Matrix(31,-2,-418,27) Matrix(3121,1280,8000,3281) -> Matrix(1105,-72,-16222,1057) Matrix(4679,1918,12000,4919) -> Matrix(1103,-72,-16162,1055) Matrix(1201,492,1760,721) -> Matrix(61,-4,-1540,101) Matrix(201,82,-880,-359) -> Matrix(31,-2,264,-17) Matrix(439,174,-1920,-761) -> Matrix(59,-4,546,-37) Matrix(559,220,2640,1039) -> Matrix(147,-10,-1220,83) Matrix(199,78,1120,439) -> Matrix(1,0,-22,1) Matrix(1039,406,1840,719) -> Matrix(207,-14,-4480,303) Matrix(3281,1280,8000,3121) -> Matrix(1057,-72,-16222,1105) Matrix(4919,1918,12000,4679) -> Matrix(1055,-72,-16162,1103) Matrix(601,234,2160,841) -> Matrix(29,-2,-246,17) Matrix(3921,1520,6400,2481) -> Matrix(1277,-88,-30024,2069) Matrix(3919,1518,6400,2479) -> Matrix(1275,-88,-29948,2067) Matrix(2839,1098,6720,2599) -> Matrix(751,-52,-11886,823) Matrix(12199,4716,19760,7639) -> Matrix(433,-30,-10060,697) Matrix(9759,3772,-42640,-16481) -> Matrix(779,-54,7112,-493) Matrix(1239,478,1760,679) -> Matrix(115,-8,-3148,219) Matrix(679,260,2400,919) -> Matrix(1,0,-24,1) Matrix(12121,4638,19760,7561) -> Matrix(443,-30,-10440,707) Matrix(1199,458,2720,1039) -> Matrix(59,-4,-988,67) Matrix(201,76,320,121) -> Matrix(57,-4,-1382,97) Matrix(199,74,320,119) -> Matrix(55,-4,-1306,95) Matrix(1319,484,-3600,-1321) -> Matrix(85,-6,1176,-83) Matrix(721,264,3280,1201) -> Matrix(83,-6,-650,47) Matrix(159,58,-880,-321) -> Matrix(27,-2,230,-17) Matrix(199,72,-1440,-521) -> Matrix(215,-16,1196,-89) Matrix(4759,1720,-17600,-6361) -> Matrix(161,-12,1382,-103) Matrix(1319,476,4320,1559) -> Matrix(107,-8,-1324,99) Matrix(1681,606,2000,721) -> Matrix(133,-10,-4216,317) Matrix(879,316,2000,719) -> Matrix(239,-18,-3970,299) Matrix(2481,890,4240,1521) -> Matrix(341,-26,-7620,581) Matrix(9241,3312,14400,5161) -> Matrix(365,-28,-9138,701) Matrix(9239,3310,14400,5159) -> Matrix(363,-28,-9062,699) Matrix(439,156,560,199) -> Matrix(27,-2,-796,59) Matrix(279,98,-800,-281) -> Matrix(105,-8,1352,-103) Matrix(759,262,1040,359) -> Matrix(25,-2,-712,57) Matrix(119,38,-880,-281) -> Matrix(21,-2,116,-11) Matrix(1039,330,1760,559) -> Matrix(51,-4,-1160,91) Matrix(121,38,640,201) -> Matrix(47,-4,-364,31) Matrix(761,236,1680,521) -> Matrix(111,-10,-1898,171) Matrix(2361,730,2720,841) -> Matrix(1,0,-44,1) Matrix(1839,568,4400,1359) -> Matrix(113,-10,-1774,157) Matrix(119,36,-400,-121) -> Matrix(23,-2,242,-21) Matrix(1081,320,1760,521) -> Matrix(85,-8,-2008,189) Matrix(1761,520,4880,1441) -> Matrix(143,-14,-1910,187) Matrix(28201,8320,40000,11801) -> Matrix(361,-36,-10118,1009) Matrix(28199,8318,40000,11799) -> Matrix(359,-36,-10042,1007) Matrix(559,164,1360,399) -> Matrix(27,-2,-418,31) Matrix(2041,596,2880,841) -> Matrix(45,-4,-1226,109) Matrix(2039,594,2880,839) -> Matrix(43,-4,-1150,107) Matrix(399,116,-2480,-721) -> Matrix(19,-2,124,-13) Matrix(841,244,1520,441) -> Matrix(67,-6,-1418,127) Matrix(2359,682,-8720,-2521) -> Matrix(65,-6,596,-55) Matrix(919,260,2400,679) -> Matrix(1,0,-24,1) Matrix(561,158,2560,721) -> Matrix(1,0,-16,1) Matrix(599,168,1280,359) -> Matrix(47,-4,-834,71) Matrix(5479,1532,6720,1879) -> Matrix(43,-4,-1322,123) Matrix(2719,758,3440,959) -> Matrix(21,-2,-640,61) Matrix(841,234,2160,601) -> Matrix(17,-2,-246,29) Matrix(1161,320,1600,441) -> Matrix(41,-4,-1158,113) Matrix(1159,318,1600,439) -> Matrix(39,-4,-1082,111) Matrix(1641,446,2800,761) -> Matrix(25,-2,-562,45) Matrix(13199,3570,-57680,-15601) -> Matrix(55,-6,486,-53) Matrix(681,184,1040,281) -> Matrix(19,-2,-484,51) Matrix(18721,5032,25600,6881) -> Matrix(1,0,-4,1) Matrix(18719,5030,25600,6879) -> Matrix(1,0,-72,1) Matrix(961,258,-5360,-1439) -> Matrix(29,-2,218,-15) Matrix(1001,268,3440,921) -> Matrix(21,-2,-220,21) Matrix(761,202,1360,361) -> Matrix(23,-2,-494,43) Matrix(39,10,-160,-41) -> Matrix(1,0,0,1) Matrix(4881,1160,6400,1521) -> Matrix(77,-8,-2204,229) Matrix(4879,1158,6400,1519) -> Matrix(75,-8,-2128,227) Matrix(3719,880,4560,1079) -> Matrix(17,-2,-518,61) Matrix(521,122,1200,281) -> Matrix(21,-2,-346,33) Matrix(1039,242,2400,559) -> Matrix(33,-4,-536,65) Matrix(561,130,1040,241) -> Matrix(13,-2,-266,41) Matrix(879,202,1040,239) -> Matrix(19,-2,-598,63) Matrix(208521,47720,270400,61881) -> Matrix(325,-36,-9434,1045) Matrix(208519,47718,270400,61879) -> Matrix(323,-36,-9358,1043) Matrix(1241,280,1600,361) -> Matrix(37,-4,-1082,117) Matrix(1239,278,1600,359) -> Matrix(35,-4,-1006,115) Matrix(1161,256,2000,441) -> Matrix(49,-6,-1086,133) Matrix(721,158,2560,561) -> Matrix(1,0,-16,1) Matrix(679,148,1280,279) -> Matrix(41,-4,-830,81) Matrix(361,78,560,121) -> Matrix(17,-2,-416,49) Matrix(5041,1072,6400,1361) -> Matrix(205,-24,-6056,709) Matrix(5039,1070,6400,1359) -> Matrix(203,-24,-5980,707) Matrix(1039,220,2640,559) -> Matrix(83,-10,-1220,147) Matrix(2319,490,4160,879) -> Matrix(67,-8,-1432,171) Matrix(161,34,1520,321) -> Matrix(49,-6,-204,25) Matrix(2481,520,3440,721) -> Matrix(15,-2,-412,55) Matrix(881,184,1920,401) -> Matrix(67,-8,-1164,139) Matrix(959,198,2320,479) -> Matrix(7,-2,-108,31) Matrix(439,84,1040,199) -> Matrix(47,-6,-744,95) Matrix(201,38,640,121) -> Matrix(31,-4,-364,47) Matrix(4841,894,6720,1241) -> Matrix(29,-4,-790,109) Matrix(3481,642,4560,841) -> Matrix(15,-2,-442,59) Matrix(839,154,1520,279) -> Matrix(71,-10,-1498,211) Matrix(439,78,1120,199) -> Matrix(1,0,-22,1) Matrix(1321,232,1600,281) -> Matrix(85,-12,-2642,373) Matrix(1319,230,1600,279) -> Matrix(83,-12,-2566,371) Matrix(1279,204,2000,319) -> Matrix(63,-10,-1556,247) Matrix(2319,364,5600,879) -> Matrix(67,-12,-1044,187) Matrix(801,124,1040,161) -> Matrix(13,-2,-370,57) Matrix(119,18,-800,-121) -> Matrix(49,-8,288,-47) Matrix(5521,760,6400,881) -> Matrix(397,-72,-12908,2341) Matrix(5519,758,6400,879) -> Matrix(395,-72,-12832,2339) Matrix(641,86,1200,161) -> Matrix(73,-14,-1486,285) Matrix(1879,248,2720,359) -> Matrix(1,0,-32,1) Matrix(281,36,320,41) -> Matrix(21,-4,-698,133) Matrix(279,34,320,39) -> Matrix(19,-4,-622,131) Matrix(321,34,1520,161) -> Matrix(25,-6,-204,49) Matrix(1359,140,2320,239) -> Matrix(93,-22,-2084,493) Matrix(281,24,480,41) -> Matrix(27,-8,-604,179) Matrix(1519,-176,2080,-241) -> Matrix(19,4,-556,-117) Matrix(1161,-152,1520,-199) -> Matrix(11,2,-314,-57) Matrix(281,-38,880,-119) -> Matrix(11,2,-116,-21) Matrix(521,-72,1440,-199) -> Matrix(89,16,-1196,-215) Matrix(839,-124,1360,-201) -> Matrix(11,2,-270,-49) Matrix(641,-98,1040,-159) -> Matrix(37,6,-882,-143) Matrix(2041,-320,2800,-439) -> Matrix(11,2,-314,-57) Matrix(1039,-168,2480,-401) -> Matrix(141,22,-2224,-347) Matrix(199,-34,240,-41) -> Matrix(13,2,-410,-63) Matrix(321,-58,880,-159) -> Matrix(17,2,-230,-27) Matrix(441,-82,640,-119) -> Matrix(29,4,-776,-107) Matrix(521,-108,960,-199) -> Matrix(29,4,-602,-83) Matrix(881,-188,1120,-239) -> Matrix(35,4,-1024,-117) Matrix(1841,-402,2560,-559) -> Matrix(1,0,-16,1) Matrix(681,-154,880,-199) -> Matrix(19,2,-542,-57) Matrix(359,-82,880,-201) -> Matrix(17,2,-264,-31) Matrix(41,-10,160,-39) -> Matrix(1,0,0,1) Matrix(1599,-418,1840,-481) -> Matrix(19,2,-618,-65) Matrix(2441,-640,3200,-839) -> Matrix(37,4,-1064,-115) Matrix(841,-222,1360,-359) -> Matrix(21,2,-494,-47) Matrix(2321,-622,3280,-879) -> Matrix(23,2,-610,-53) Matrix(1519,-408,3280,-881) -> Matrix(37,2,-648,-35) Matrix(3041,-818,4160,-1119) -> Matrix(1,0,-24,1) Matrix(1839,-496,2080,-561) -> Matrix(35,4,-1164,-133) Matrix(4441,-1202,5760,-1559) -> Matrix(37,4,-1064,-115) Matrix(2361,-640,2800,-759) -> Matrix(19,2,-618,-65) Matrix(521,-144,720,-199) -> Matrix(21,2,-578,-55) Matrix(1439,-402,3440,-961) -> Matrix(107,10,-1680,-157) Matrix(2001,-562,2560,-719) -> Matrix(1,0,-16,1) Matrix(921,-266,1520,-439) -> Matrix(65,6,-1506,-139) Matrix(2079,-604,4960,-1441) -> Matrix(49,4,-772,-63) Matrix(2401,-702,3280,-959) -> Matrix(23,2,-610,-53) Matrix(121,-36,400,-119) -> Matrix(21,2,-242,-23) Matrix(761,-232,1440,-439) -> Matrix(95,8,-1912,-161) Matrix(521,-162,640,-199) -> Matrix(45,4,-1384,-123) Matrix(281,-98,800,-279) -> Matrix(103,8,-1352,-105) Matrix(1079,-386,1680,-601) -> Matrix(27,2,-662,-49) Matrix(1001,-362,2320,-839) -> Matrix(349,26,-5678,-423) Matrix(2761,-1000,3200,-1159) -> Matrix(485,36,-15776,-1171) Matrix(1521,-556,3280,-1199) -> Matrix(467,34,-8200,-597) Matrix(2599,-952,4480,-1641) -> Matrix(167,12,-3688,-265) Matrix(881,-324,1520,-559) -> Matrix(83,6,-1840,-133) Matrix(1001,-382,1360,-519) -> Matrix(29,2,-798,-55) Matrix(4601,-1760,7840,-2999) -> Matrix(349,24,-7838,-539) Matrix(1159,-444,1360,-521) -> Matrix(27,2,-878,-65) Matrix(6081,-2350,9520,-3679) -> Matrix(663,46,-16330,-1133) Matrix(881,-342,1440,-559) -> Matrix(291,20,-6824,-469) Matrix(1081,-426,1520,-599) -> Matrix(89,6,-2418,-163) Matrix(2159,-876,2960,-1201) -> Matrix(91,6,-2624,-173) Matrix(2161,-892,3680,-1519) -> Matrix(931,60,-20932,-1349) Matrix(4841,-2000,7840,-3239) -> Matrix(373,24,-8750,-563) Matrix(601,-250,1440,-599) -> Matrix(1,0,0,1) Matrix(6881,-2882,11840,-4959) -> Matrix(1639,104,-36452,-2313) Matrix(961,-404,1520,-639) -> Matrix(95,6,-2296,-145) Matrix(1841,-778,2080,-879) -> Matrix(317,20,-10572,-667) Matrix(599,-254,1040,-441) -> Matrix(287,18,-6330,-397) Matrix(5399,-2332,8800,-3801) -> Matrix(1043,64,-24592,-1509) Matrix(2279,-1006,4080,-1801) -> Matrix(499,30,-10662,-641) Matrix(361,-162,800,-359) -> Matrix(271,16,-4624,-273) Matrix(761,-348,960,-439) -> Matrix(69,4,-2122,-123) Matrix(959,-452,1360,-641) -> Matrix(107,6,-3014,-169) Matrix(1241,-648,1760,-919) -> Matrix(159,8,-4472,-225) Matrix(1839,-986,2240,-1201) -> Matrix(327,16,-9994,-489) Matrix(441,-242,800,-439) -> Matrix(335,16,-7056,-337) Matrix(1481,-842,2320,-1319) -> Matrix(565,26,-13886,-639) Matrix(3039,-1754,4160,-2401) -> Matrix(177,8,-5288,-239) Matrix(2079,-1208,2480,-1441) -> Matrix(489,22,-15448,-695) Matrix(2479,-1442,3440,-2001) -> Matrix(223,10,-6088,-273) Matrix(3401,-1988,4720,-2759) -> Matrix(223,10,-6088,-273) Matrix(679,-402,880,-521) -> Matrix(45,2,-1328,-59) Matrix(1481,-894,1920,-1159) -> Matrix(93,4,-2674,-115) Matrix(32881,-20172,42640,-26159) -> Matrix(1273,54,-36752,-1559) Matrix(2281,-1444,3600,-2279) -> Matrix(143,6,-3456,-145) Matrix(721,-458,880,-559) -> Matrix(49,2,-1446,-59) Matrix(1241,-792,1440,-919) -> Matrix(393,16,-12748,-519) Matrix(12841,-8200,17600,-11239) -> Matrix(295,12,-8678,-353) Matrix(521,-338,800,-519) -> Matrix(199,8,-5000,-201) Matrix(761,-518,880,-599) -> Matrix(55,2,-1788,-65) Matrix(281,-196,400,-279) -> Matrix(53,2,-1458,-55) Matrix(2081,-1476,2480,-1759) -> Matrix(57,2,-1796,-63) Matrix(6361,-4522,8720,-6199) -> Matrix(163,6,-4700,-173) Matrix(44481,-32450,57680,-42079) -> Matrix(173,6,-5046,-175) Matrix(4399,-3218,5360,-3921) -> Matrix(47,2,-1434,-61) Matrix(121,-90,160,-119) -> Matrix(1,0,0,1) Matrix(681,-578,800,-679) -> Matrix(255,8,-8192,-257) 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): 192 Degree of the the map X: 192 Degree of the the map Y: 384 Imminent integer overflow halted computation of the slope function at slope -4518790/3484699 during the modular group computation. This caused the modular group computation to abort.