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): 2016 Minimal number of generators: 337 Number of equivalence classes of cusps: 96 Genus: 121 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -8/1 -20/3 -13/2 -6/1 -16/3 -24/5 -14/3 -13/3 -4/1 -18/5 -13/4 -39/14 -13/5 -12/5 -13/6 -2/1 -13/7 -13/8 -39/25 -26/17 -13/9 -13/10 -13/11 -26/23 0/1 1/1 13/11 26/21 13/10 26/19 13/9 3/2 39/25 13/8 130/79 26/15 13/7 2/1 13/6 104/47 26/11 208/87 12/5 5/2 130/51 13/5 208/79 52/19 39/14 26/9 3/1 13/4 104/31 52/15 7/2 104/29 18/5 26/7 208/55 4/1 25/6 21/5 13/3 22/5 9/2 23/5 14/3 52/11 19/4 24/5 5/1 26/5 21/4 16/3 27/5 11/2 17/3 23/4 52/9 6/1 19/3 13/2 20/3 7/1 22/3 37/5 52/7 15/2 8/1 17/2 26/3 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 2/45 8/179 -9/1 1/22 -8/1 4/87 -15/2 11/237 -7/1 3/64 -20/3 6/127 -13/2 1/21 -32/5 12/251 -19/3 5/104 -6/1 4/83 2/41 -17/3 11/224 -11/2 3/61 -16/3 4/81 -37/7 17/342 -21/4 13/261 -26/5 1/20 -5/1 1/20 -24/5 8/157 -43/9 5/98 -19/4 11/215 -14/3 2/39 8/155 -51/11 29/560 -37/8 15/289 -23/5 5/96 -9/2 1/19 -31/7 11/212 -53/12 29/557 -22/5 6/115 8/153 -13/3 1/19 -17/4 9/169 -21/5 1/20 -25/6 1/19 -4/1 2/37 -27/7 1/18 -23/6 1/19 -19/5 5/92 -53/14 25/457 -87/23 39/712 -34/9 4/73 14/255 -15/4 7/127 -26/7 1/18 -11/3 1/18 -29/8 5/87 -18/5 0/1 2/35 -25/7 1/18 -32/9 0/1 -7/2 3/53 -31/9 13/226 -24/7 4/69 -41/12 1/17 -17/5 7/120 -27/8 1/17 -64/19 4/67 -37/11 3/50 -47/14 1/15 -10/3 0/1 2/35 -43/13 3/52 -33/10 9/155 -23/7 3/52 -13/4 1/17 -16/5 4/67 -51/16 19/315 -35/11 9/148 -19/6 1/17 -3/1 1/16 -20/7 2/31 -37/13 5/78 -17/6 5/77 -31/11 3/44 -45/16 1/11 -14/5 0/1 2/33 -53/19 15/242 -39/14 1/16 -64/23 8/127 -25/9 1/16 -11/4 3/47 -30/11 2/31 8/123 -49/18 1/15 -19/7 3/46 -46/17 0/1 2/31 -73/27 1/14 -27/10 1/15 -35/13 9/136 -8/3 0/1 -37/14 9/139 -29/11 1/16 -79/30 1/15 -50/19 0/1 2/31 -21/8 5/77 -13/5 1/15 -31/12 7/103 -49/19 5/74 -67/26 7/103 -18/7 0/1 2/29 -23/9 5/72 -51/20 11/155 -130/51 1/14 -79/31 1/14 -28/11 2/27 -5/2 1/15 -37/15 7/100 -32/13 4/57 -27/11 1/14 -49/20 1/13 -22/9 0/1 2/29 -17/7 3/40 -46/19 0/1 2/21 -29/12 1/19 -41/17 1/16 -53/22 9/137 -12/5 2/29 -55/23 1/12 -98/41 0/1 2/33 -43/18 1/15 -31/13 5/72 -50/21 0/1 2/29 -69/29 7/102 -19/8 3/43 -26/11 1/14 -7/3 1/14 -37/16 1/7 -30/13 0/1 2/33 -53/23 7/106 -23/10 3/43 -16/7 0/1 -41/18 1/13 -25/11 1/14 -34/15 4/55 2/27 -9/4 1/13 -29/13 3/40 -20/9 2/25 -51/23 5/56 -31/14 1/7 -42/19 0/1 2/35 -53/24 5/77 -11/5 1/14 -24/11 0/1 -13/6 1/13 -28/13 2/25 -15/7 1/14 -17/8 1/9 -2/1 0/1 2/25 -17/9 1/16 -15/8 1/11 -13/7 1/12 -37/20 3/35 -61/33 1/12 -24/13 0/1 -11/6 1/11 -42/23 0/1 2/15 -73/40 -1/3 -104/57 0/1 -31/17 1/18 -51/28 5/69 -71/39 5/66 -20/11 2/25 -9/5 1/12 -25/14 1/11 -16/9 0/1 -39/22 1/11 -23/13 3/32 -53/30 7/69 -30/17 0/1 2/17 -7/4 1/11 -26/15 1/11 -19/11 3/32 -69/40 7/73 -50/29 0/1 2/21 -31/18 5/53 -43/25 1/10 -98/57 0/1 2/17 -153/89 1/4 -208/121 0/1 -55/32 1/13 -12/7 2/21 -29/17 1/6 -17/10 3/35 -39/23 1/11 -22/13 0/1 2/21 -27/16 1/11 -5/3 1/10 -28/17 2/23 -79/48 1/11 -130/79 1/11 -51/31 11/120 -23/14 5/53 -18/11 0/1 2/21 -13/8 1/10 -34/21 6/59 4/39 -55/34 1/9 -131/81 1/10 -76/47 6/59 -21/13 5/48 -50/31 0/1 2/19 -129/80 1/9 -208/129 0/1 -79/49 1/10 -29/18 1/9 -37/23 9/86 -8/5 0/1 -27/17 1/10 -73/46 1/11 -119/75 7/68 -46/29 0/1 2/19 -19/12 3/29 -49/31 1/10 -79/50 3/29 -30/19 8/77 2/19 -41/26 11/105 -52/33 2/19 -11/7 3/28 -25/16 1/9 -64/41 8/73 -39/25 1/9 -92/59 14/125 -53/34 15/133 -14/9 0/1 2/17 -31/20 3/31 -17/11 5/48 -37/24 5/47 -20/13 2/19 -23/15 7/64 -26/17 1/9 -3/2 1/9 -19/13 1/8 -35/24 9/77 -51/35 19/160 -16/11 4/33 -13/9 1/8 -36/25 6/47 -23/16 3/23 -33/23 9/70 -43/30 3/23 -10/7 0/1 2/15 -57/40 1/5 -104/73 0/1 -47/33 1/10 -37/26 3/25 -101/71 3/26 -64/45 4/33 -27/19 1/8 -44/31 2/17 -61/43 1/8 -78/55 1/8 -17/12 7/55 -24/17 4/31 -79/56 3/23 -55/39 11/84 -31/22 13/99 -38/27 16/121 2/15 -45/32 19/143 -52/37 2/15 -7/5 3/22 -32/23 0/1 -89/64 1/9 -57/41 3/22 -25/18 1/7 -43/31 1/6 -104/75 0/1 -61/44 1/9 -18/13 0/1 2/15 -29/21 5/38 -40/29 8/59 -91/66 3/22 -51/37 23/168 -11/8 1/7 -26/19 1/7 -15/11 7/48 -64/47 8/55 -49/36 11/75 -34/25 14/95 4/27 -121/89 53/358 -208/153 4/27 -87/64 39/263 -53/39 25/168 -19/14 5/33 -23/17 1/6 -27/20 1/7 -4/3 2/13 -25/19 1/6 -21/16 1/5 -17/13 9/56 -13/10 1/6 -35/27 19/112 -22/17 8/47 6/35 -53/41 29/168 -31/24 11/63 -9/7 1/6 -32/25 0/1 -55/43 1/6 -78/61 1/6 -23/18 5/29 -37/29 15/86 -88/69 24/137 -51/40 29/165 -14/11 8/45 2/11 -33/26 19/105 -52/41 2/11 -19/15 11/60 -43/34 5/27 -110/87 8/43 14/75 -67/53 7/38 -24/19 8/43 -5/4 1/5 -26/21 1/5 -21/17 13/64 -58/47 12/59 10/49 -95/77 9/44 -37/30 17/83 -53/43 33/160 -16/13 4/19 -27/22 1/5 -11/9 3/14 -28/23 2/9 -17/14 11/51 -23/19 15/68 -52/43 2/9 -29/24 19/85 -6/5 2/9 4/17 -19/16 5/21 -13/11 1/4 -33/28 13/51 -53/45 37/144 -20/17 6/23 -7/6 3/11 -22/19 16/57 2/7 -37/32 27/95 -52/45 2/7 -15/13 11/38 -8/7 4/13 -17/15 13/40 -26/23 1/3 -9/8 1/3 -10/9 8/21 2/5 -11/10 3/7 -1/1 1/0 0/1 0/1 1/1 1/50 10/9 2/95 8/379 9/8 1/47 8/7 4/187 15/13 11/512 7/6 3/139 20/17 6/277 13/11 1/46 32/27 12/551 19/16 5/229 6/5 4/183 2/91 17/14 11/499 11/9 3/136 16/13 4/181 37/30 17/767 21/17 13/586 26/21 1/45 5/4 1/45 24/19 8/357 43/34 5/223 19/15 11/490 14/11 2/89 8/355 51/40 29/1285 37/29 15/664 23/18 5/221 9/7 1/44 31/24 11/487 53/41 29/1282 22/17 6/265 8/353 13/10 1/44 17/13 9/394 21/16 1/45 25/19 1/44 4/3 2/87 27/20 1/43 23/17 1/44 19/14 5/217 53/39 25/1082 87/64 39/1687 34/25 4/173 14/605 15/11 7/302 26/19 1/43 11/8 1/43 29/21 5/212 18/13 0/1 2/85 25/18 1/43 32/23 0/1 7/5 3/128 31/22 13/551 24/17 4/169 41/29 1/42 17/12 7/295 27/19 1/42 64/45 4/167 37/26 3/125 47/33 1/40 10/7 0/1 2/85 43/30 3/127 33/23 9/380 23/16 3/127 13/9 1/42 16/11 4/167 51/35 19/790 35/24 9/373 19/13 1/42 3/2 1/41 20/13 2/81 37/24 5/203 17/11 5/202 31/20 3/119 45/29 1/36 14/9 0/1 2/83 53/34 15/617 39/25 1/41 64/41 8/327 25/16 1/41 11/7 3/122 30/19 2/81 8/323 49/31 1/40 19/12 3/121 46/29 0/1 2/81 73/46 1/39 27/17 1/40 35/22 9/361 8/5 0/1 37/23 9/364 29/18 1/41 79/49 1/40 50/31 0/1 2/81 21/13 5/202 13/8 1/40 31/19 7/278 49/30 5/199 67/41 7/278 18/11 0/1 2/79 23/14 5/197 51/31 11/430 130/79 1/39 79/48 1/39 28/17 2/77 5/3 1/40 37/22 7/275 32/19 4/157 27/16 1/39 49/29 1/38 22/13 0/1 2/79 17/10 3/115 46/27 0/1 2/71 29/17 1/44 41/24 1/41 53/31 9/362 12/7 2/79 55/32 1/37 98/57 0/1 2/83 43/25 1/40 31/18 5/197 50/29 0/1 2/79 69/40 7/277 19/11 3/118 26/15 1/39 7/4 1/39 37/21 1/32 30/17 0/1 2/83 53/30 7/281 23/13 3/118 16/9 0/1 41/23 1/38 25/14 1/39 34/19 4/155 2/77 9/5 1/38 29/16 3/115 20/11 2/75 51/28 5/181 31/17 1/32 42/23 0/1 2/85 53/29 5/202 11/6 1/39 24/13 0/1 13/7 1/38 28/15 2/75 15/8 1/39 17/9 1/34 2/1 0/1 2/75 17/8 1/41 15/7 1/36 13/6 1/37 37/17 3/110 61/28 1/37 24/11 0/1 11/5 1/36 42/19 0/1 2/65 73/33 1/22 104/47 0/1 31/14 1/43 51/23 5/194 71/32 5/191 20/9 2/75 9/4 1/37 25/11 1/36 16/7 0/1 39/17 1/36 23/10 3/107 53/23 7/244 30/13 0/1 2/67 7/3 1/36 26/11 1/36 19/8 3/107 69/29 7/248 50/21 0/1 2/71 31/13 5/178 43/18 1/35 98/41 0/1 2/67 153/64 1/29 208/87 0/1 55/23 1/38 12/5 2/71 29/12 1/31 17/7 3/110 39/16 1/36 22/9 0/1 2/71 27/11 1/36 5/2 1/35 28/11 2/73 79/31 1/36 130/51 1/36 51/20 11/395 23/9 5/178 18/7 0/1 2/71 13/5 1/35 34/13 6/209 4/139 55/21 1/34 131/50 1/35 76/29 6/209 21/8 5/173 50/19 0/1 2/69 129/49 1/34 208/79 0/1 79/30 1/35 29/11 1/34 37/14 9/311 8/3 0/1 27/10 1/35 73/27 1/36 119/44 7/243 46/17 0/1 2/69 19/7 3/104 49/18 1/35 79/29 3/104 30/11 8/277 2/69 41/15 11/380 52/19 2/69 11/4 3/103 25/9 1/34 64/23 8/273 39/14 1/34 92/33 14/475 53/19 15/508 14/5 0/1 2/67 31/11 3/106 17/6 5/173 37/13 5/172 20/7 2/69 23/8 7/239 26/9 1/34 3/1 1/34 19/6 1/33 35/11 9/302 51/16 19/635 16/5 4/133 13/4 1/33 36/11 6/197 23/7 3/98 33/10 9/295 43/13 3/98 10/3 0/1 2/65 57/17 1/30 104/31 0/1 47/14 1/35 37/11 3/100 101/30 3/101 64/19 4/133 27/8 1/33 44/13 2/67 61/18 1/33 78/23 1/33 17/5 7/230 24/7 4/131 79/23 3/98 55/16 11/359 31/9 13/424 38/11 16/521 2/65 45/13 19/618 52/15 2/65 7/2 3/97 32/9 0/1 89/25 1/34 57/16 3/97 25/7 1/32 43/12 1/31 104/29 0/1 61/17 1/34 18/5 0/1 2/65 29/8 5/163 40/11 8/259 91/25 3/97 51/14 23/743 11/3 1/32 26/7 1/32 15/4 7/223 64/17 8/255 49/13 11/350 34/9 14/445 4/127 121/32 53/1683 208/55 4/127 87/23 39/1238 53/14 25/793 19/5 5/158 23/6 1/31 27/7 1/32 4/1 2/63 25/6 1/31 21/5 1/30 17/4 9/281 13/3 1/31 35/8 19/587 22/5 8/247 6/185 53/12 29/893 31/7 11/338 9/2 1/31 32/7 0/1 55/12 1/31 78/17 1/31 23/5 5/154 37/8 15/461 88/19 24/737 51/11 29/890 14/3 8/245 2/61 33/7 19/580 52/11 2/61 19/4 11/335 43/9 5/152 110/23 8/243 14/425 67/14 7/213 24/5 8/243 5/1 1/30 26/5 1/30 21/4 13/389 58/11 12/359 10/299 95/18 9/269 37/7 17/508 53/10 33/985 16/3 4/119 27/5 1/30 11/2 3/89 28/5 2/59 17/3 11/326 23/4 15/443 52/9 2/59 29/5 19/560 6/1 2/59 4/117 19/3 5/146 13/2 1/29 33/5 13/376 53/8 37/1069 20/3 6/173 7/1 3/86 22/3 16/457 2/57 37/5 27/770 52/7 2/57 15/2 11/313 8/1 4/113 17/2 13/365 26/3 1/28 9/1 1/28 10/1 8/221 2/55 11/1 3/82 1/0 1/25 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(53,572,-24,-259) (-10/1,1/0) -> (-42/19,-53/24) Hyperbolic Matrix(53,520,16,157) (-10/1,-9/1) -> (43/13,10/3) Hyperbolic Matrix(105,884,-74,-623) (-9/1,-8/1) -> (-44/31,-61/43) Hyperbolic Matrix(53,416,20,157) (-8/1,-15/2) -> (37/14,8/3) Hyperbolic Matrix(51,364,-22,-157) (-15/2,-7/1) -> (-7/3,-37/16) Hyperbolic Matrix(53,364,38,261) (-7/1,-20/3) -> (32/23,7/5) Hyperbolic Matrix(103,676,-16,-105) (-20/3,-13/2) -> (-13/2,-32/5) Parabolic Matrix(415,2652,-228,-1457) (-32/5,-19/3) -> (-71/39,-20/11) Hyperbolic Matrix(157,988,58,365) (-19/3,-6/1) -> (46/17,19/7) Hyperbolic Matrix(155,884,-64,-365) (-6/1,-17/3) -> (-17/7,-46/19) Hyperbolic Matrix(157,884,-46,-259) (-17/3,-11/2) -> (-41/12,-17/5) Hyperbolic Matrix(155,832,-68,-365) (-11/2,-16/3) -> (-16/7,-41/18) Hyperbolic Matrix(727,3848,-570,-3017) (-16/3,-37/7) -> (-37/29,-88/69) Hyperbolic Matrix(987,5200,-622,-3277) (-37/7,-21/4) -> (-73/46,-119/75) Hyperbolic Matrix(209,1092,40,209) (-21/4,-26/5) -> (26/5,21/4) Hyperbolic Matrix(51,260,10,51) (-26/5,-5/1) -> (5/1,26/5) Hyperbolic Matrix(53,260,32,157) (-5/1,-24/5) -> (28/17,5/3) Hyperbolic Matrix(521,2496,-282,-1351) (-24/5,-43/9) -> (-61/33,-24/13) Hyperbolic Matrix(469,2236,142,677) (-43/9,-19/4) -> (33/10,43/13) Hyperbolic Matrix(155,728,-122,-573) (-19/4,-14/3) -> (-14/11,-33/26) Hyperbolic Matrix(313,1456,112,521) (-14/3,-51/11) -> (53/19,14/5) Hyperbolic Matrix(831,3848,-674,-3121) (-51/11,-37/8) -> (-37/30,-53/43) Hyperbolic Matrix(417,1924,158,729) (-37/8,-23/5) -> (29/11,37/14) Hyperbolic Matrix(103,468,-46,-209) (-23/5,-9/2) -> (-9/4,-29/13) Hyperbolic Matrix(363,1612,152,675) (-9/2,-31/7) -> (31/13,43/18) Hyperbolic Matrix(729,3224,400,1769) (-31/7,-53/12) -> (51/28,31/17) Hyperbolic Matrix(625,2756,354,1561) (-53/12,-22/5) -> (30/17,53/30) Hyperbolic Matrix(261,1144,-154,-675) (-22/5,-13/3) -> (-39/23,-22/13) Hyperbolic Matrix(207,884,-122,-521) (-13/3,-17/4) -> (-17/10,-39/23) Hyperbolic Matrix(209,884,74,313) (-17/4,-21/5) -> (31/11,17/6) Hyperbolic Matrix(573,2392,212,885) (-21/5,-25/6) -> (27/10,73/27) Hyperbolic Matrix(51,208,38,155) (-25/6,-4/1) -> (4/3,27/20) Hyperbolic Matrix(53,208,40,157) (-4/1,-27/7) -> (25/19,4/3) Hyperbolic Matrix(677,2600,420,1613) (-27/7,-23/6) -> (29/18,79/49) Hyperbolic Matrix(313,1196,218,833) (-23/6,-19/5) -> (33/23,23/16) Hyperbolic Matrix(1249,4732,-686,-2599) (-19/5,-53/14) -> (-51/28,-71/39) Hyperbolic Matrix(1663,6292,522,1975) (-53/14,-87/23) -> (35/11,51/16) Hyperbolic Matrix(1871,7072,-1376,-5201) (-87/23,-34/9) -> (-34/25,-121/89) Hyperbolic Matrix(675,2548,-262,-989) (-34/9,-15/4) -> (-67/26,-18/7) Hyperbolic Matrix(209,780,56,209) (-15/4,-26/7) -> (26/7,15/4) Hyperbolic Matrix(155,572,42,155) (-26/7,-11/3) -> (11/3,26/7) Hyperbolic Matrix(415,1508,-172,-625) (-11/3,-29/8) -> (-29/12,-41/17) Hyperbolic Matrix(259,936,158,571) (-29/8,-18/5) -> (18/11,23/14) Hyperbolic Matrix(363,1300,-160,-573) (-18/5,-25/7) -> (-25/11,-34/15) Hyperbolic Matrix(467,1664,-190,-677) (-25/7,-32/9) -> (-32/13,-27/11) Hyperbolic Matrix(103,364,88,311) (-32/9,-7/2) -> (7/6,20/17) Hyperbolic Matrix(467,1612,-166,-573) (-7/2,-31/9) -> (-31/11,-45/16) Hyperbolic Matrix(831,2860,-514,-1769) (-31/9,-24/7) -> (-76/47,-21/13) Hyperbolic Matrix(365,1248,198,677) (-24/7,-41/12) -> (11/6,24/13) Hyperbolic Matrix(415,1404,-154,-521) (-17/5,-27/8) -> (-27/10,-35/13) Hyperbolic Matrix(987,3328,632,2131) (-27/8,-64/19) -> (64/41,25/16) Hyperbolic Matrix(989,3328,-726,-2443) (-64/19,-37/11) -> (-15/11,-64/47) Hyperbolic Matrix(573,1924,-232,-779) (-37/11,-47/14) -> (-5/2,-37/15) Hyperbolic Matrix(311,1040,-218,-729) (-47/14,-10/3) -> (-10/7,-57/40) Hyperbolic Matrix(157,520,16,53) (-10/3,-43/13) -> (9/1,10/1) Hyperbolic Matrix(677,2236,142,469) (-43/13,-33/10) -> (19/4,43/9) Hyperbolic Matrix(363,1196,268,883) (-33/10,-23/7) -> (23/17,19/14) Hyperbolic Matrix(365,1196,-206,-675) (-23/7,-13/4) -> (-39/22,-23/13) Hyperbolic Matrix(259,832,-146,-469) (-13/4,-16/5) -> (-16/9,-39/22) Hyperbolic Matrix(521,1664,98,313) (-16/5,-51/16) -> (53/10,16/3) Hyperbolic Matrix(1975,6292,522,1663) (-51/16,-35/11) -> (87/23,53/14) Hyperbolic Matrix(623,1976,262,831) (-35/11,-19/6) -> (19/8,69/29) Hyperbolic Matrix(313,988,198,625) (-19/6,-3/1) -> (49/31,19/12) Hyperbolic Matrix(417,1196,-326,-935) (-3/1,-20/7) -> (-32/25,-55/43) Hyperbolic Matrix(675,1924,-274,-781) (-20/7,-37/13) -> (-37/15,-32/13) Hyperbolic Matrix(311,884,146,415) (-37/13,-17/6) -> (17/8,15/7) Hyperbolic Matrix(313,884,74,209) (-17/6,-31/11) -> (21/5,17/4) Hyperbolic Matrix(833,2340,-592,-1663) (-45/16,-14/5) -> (-38/27,-45/32) Hyperbolic Matrix(521,1456,112,313) (-14/5,-53/19) -> (51/11,14/3) Hyperbolic Matrix(2443,6812,-1772,-4941) (-53/19,-39/14) -> (-91/66,-51/37) Hyperbolic Matrix(2653,7384,-1924,-5355) (-39/14,-64/23) -> (-40/29,-91/66) Hyperbolic Matrix(1197,3328,842,2341) (-64/23,-25/9) -> (27/19,64/45) Hyperbolic Matrix(469,1300,-206,-571) (-25/9,-11/4) -> (-41/18,-25/11) Hyperbolic Matrix(571,1560,-362,-989) (-11/4,-30/11) -> (-30/19,-41/26) Hyperbolic Matrix(935,2548,-382,-1041) (-30/11,-49/18) -> (-49/20,-22/9) Hyperbolic Matrix(363,988,248,675) (-49/18,-19/7) -> (19/13,3/2) Hyperbolic Matrix(365,988,58,157) (-19/7,-46/17) -> (6/1,19/3) Hyperbolic Matrix(1923,5200,-1558,-4213) (-46/17,-73/27) -> (-21/17,-58/47) Hyperbolic Matrix(885,2392,212,573) (-73/27,-27/10) -> (25/6,21/5) Hyperbolic Matrix(155,416,-136,-365) (-35/13,-8/3) -> (-8/7,-17/15) Hyperbolic Matrix(157,416,20,53) (-8/3,-37/14) -> (15/2,8/1) Hyperbolic Matrix(729,1924,158,417) (-37/14,-29/11) -> (23/5,37/8) Hyperbolic Matrix(987,2600,730,1923) (-29/11,-79/30) -> (27/20,23/17) Hyperbolic Matrix(3951,10400,-2450,-6449) (-79/30,-50/19) -> (-50/31,-129/80) Hyperbolic Matrix(989,2600,574,1509) (-50/19,-21/8) -> (31/18,50/29) Hyperbolic Matrix(259,676,-100,-261) (-21/8,-13/5) -> (-13/5,-31/12) Parabolic Matrix(1249,3224,-886,-2287) (-31/12,-49/19) -> (-55/39,-31/22) Hyperbolic Matrix(3329,8580,-2340,-6031) (-49/19,-67/26) -> (-37/26,-101/71) Hyperbolic Matrix(365,936,264,677) (-18/7,-23/9) -> (29/21,18/13) Hyperbolic Matrix(937,2392,530,1353) (-23/9,-51/20) -> (53/30,23/13) Hyperbolic Matrix(5201,13260,2040,5201) (-51/20,-130/51) -> (130/51,51/20) Hyperbolic Matrix(8059,20540,3162,8059) (-130/51,-79/31) -> (79/31,130/51) Hyperbolic Matrix(1613,4108,470,1197) (-79/31,-28/11) -> (24/7,79/23) Hyperbolic Matrix(103,260,82,207) (-28/11,-5/2) -> (5/4,24/19) Hyperbolic Matrix(3225,7904,-1994,-4887) (-27/11,-49/20) -> (-55/34,-131/81) Hyperbolic Matrix(469,1144,-362,-883) (-22/9,-17/7) -> (-35/27,-22/17) Hyperbolic Matrix(623,1508,-516,-1249) (-46/19,-29/12) -> (-29/24,-6/5) Hyperbolic Matrix(1143,2756,-518,-1249) (-41/17,-53/22) -> (-53/24,-11/5) Hyperbolic Matrix(2289,5512,-1468,-3535) (-53/22,-12/5) -> (-92/59,-53/34) Hyperbolic Matrix(1977,4732,-1390,-3327) (-12/5,-55/23) -> (-101/71,-64/45) Hyperbolic Matrix(8527,20384,-4960,-11857) (-55/23,-98/41) -> (-98/57,-153/89) Hyperbolic Matrix(3743,8944,-2960,-7073) (-98/41,-43/18) -> (-43/34,-110/87) Hyperbolic Matrix(675,1612,152,363) (-43/18,-31/13) -> (31/7,9/2) Hyperbolic Matrix(1091,2600,676,1611) (-31/13,-50/21) -> (50/31,21/13) Hyperbolic Matrix(415,988,218,519) (-50/21,-69/29) -> (17/9,2/1) Hyperbolic Matrix(831,1976,262,623) (-69/29,-19/8) -> (19/6,35/11) Hyperbolic Matrix(417,988,176,417) (-19/8,-26/11) -> (26/11,19/8) Hyperbolic Matrix(155,364,66,155) (-26/11,-7/3) -> (7/3,26/11) Hyperbolic Matrix(833,1924,-720,-1663) (-37/16,-30/13) -> (-22/19,-37/32) Hyperbolic Matrix(1195,2756,924,2131) (-30/13,-53/23) -> (53/41,22/17) Hyperbolic Matrix(1039,2392,632,1455) (-53/23,-23/10) -> (23/14,51/31) Hyperbolic Matrix(521,1196,-362,-831) (-23/10,-16/7) -> (-36/25,-23/16) Hyperbolic Matrix(987,2236,-712,-1613) (-34/15,-9/4) -> (-61/44,-18/13) Hyperbolic Matrix(467,1040,-304,-677) (-29/13,-20/9) -> (-20/13,-23/15) Hyperbolic Matrix(937,2080,-796,-1767) (-20/9,-51/23) -> (-53/45,-20/17) Hyperbolic Matrix(1455,3224,1126,2495) (-51/23,-31/14) -> (31/24,53/41) Hyperbolic Matrix(1975,4368,-1082,-2393) (-31/14,-42/19) -> (-42/23,-73/40) Hyperbolic Matrix(571,1248,404,883) (-11/5,-24/11) -> (24/17,41/29) Hyperbolic Matrix(311,676,-144,-313) (-24/11,-13/6) -> (-13/6,-28/13) Parabolic Matrix(1039,2236,-822,-1769) (-28/13,-15/7) -> (-67/53,-24/19) Hyperbolic Matrix(415,884,146,311) (-15/7,-17/8) -> (17/6,37/13) Hyperbolic Matrix(469,988,272,573) (-17/8,-2/1) -> (50/29,69/40) Hyperbolic Matrix(519,988,218,415) (-2/1,-17/9) -> (69/29,50/21) Hyperbolic Matrix(469,884,304,573) (-17/9,-15/8) -> (37/24,17/11) Hyperbolic Matrix(363,676,-196,-365) (-15/8,-13/7) -> (-13/7,-37/20) Parabolic Matrix(3121,5772,-2530,-4679) (-37/20,-61/33) -> (-95/77,-37/30) Hyperbolic Matrix(311,572,56,103) (-24/13,-11/6) -> (11/2,28/5) Hyperbolic Matrix(313,572,-284,-519) (-11/6,-42/23) -> (-10/9,-11/10) Hyperbolic Matrix(5927,10816,2678,4887) (-73/40,-104/57) -> (104/47,31/14) Hyperbolic Matrix(5929,10816,2680,4889) (-104/57,-31/17) -> (73/33,104/47) Hyperbolic Matrix(1769,3224,400,729) (-31/17,-51/28) -> (53/12,31/7) Hyperbolic Matrix(259,468,-202,-365) (-20/11,-9/5) -> (-9/7,-32/25) Hyperbolic Matrix(727,1300,-524,-937) (-9/5,-25/14) -> (-25/18,-43/31) Hyperbolic Matrix(467,832,-380,-677) (-25/14,-16/9) -> (-16/13,-27/22) Hyperbolic Matrix(1353,2392,530,937) (-23/13,-53/30) -> (51/20,23/9) Hyperbolic Matrix(1561,2756,354,625) (-53/30,-30/17) -> (22/5,53/12) Hyperbolic Matrix(207,364,-178,-313) (-30/17,-7/4) -> (-7/6,-22/19) Hyperbolic Matrix(209,364,120,209) (-7/4,-26/15) -> (26/15,7/4) Hyperbolic Matrix(571,988,330,571) (-26/15,-19/11) -> (19/11,26/15) Hyperbolic Matrix(1145,1976,784,1353) (-19/11,-69/40) -> (35/24,19/13) Hyperbolic Matrix(573,988,272,469) (-69/40,-50/29) -> (2/1,17/8) Hyperbolic Matrix(1509,2600,574,989) (-50/29,-31/18) -> (21/8,50/19) Hyperbolic Matrix(937,1612,726,1249) (-31/18,-43/25) -> (9/7,31/24) Hyperbolic Matrix(6865,11804,-5564,-9567) (-43/25,-98/57) -> (-58/47,-95/77) Hyperbolic Matrix(25167,43264,10526,18095) (-153/89,-208/121) -> (208/87,55/23) Hyperbolic Matrix(25169,43264,10528,18097) (-208/121,-55/32) -> (153/64,208/87) Hyperbolic Matrix(2391,4108,-1756,-3017) (-55/32,-12/7) -> (-64/47,-49/36) Hyperbolic Matrix(883,1508,-640,-1093) (-12/7,-29/17) -> (-29/21,-40/29) Hyperbolic Matrix(519,884,-428,-729) (-29/17,-17/10) -> (-17/14,-23/19) Hyperbolic Matrix(1507,2548,-954,-1613) (-22/13,-27/16) -> (-79/50,-30/19) Hyperbolic Matrix(987,1664,-710,-1197) (-27/16,-5/3) -> (-57/41,-25/18) Hyperbolic Matrix(157,260,32,53) (-5/3,-28/17) -> (24/5,5/1) Hyperbolic Matrix(5875,9672,2242,3691) (-28/17,-79/48) -> (131/50,76/29) Hyperbolic Matrix(12481,20540,7584,12481) (-79/48,-130/79) -> (130/79,79/48) Hyperbolic Matrix(8059,13260,4898,8059) (-130/79,-51/31) -> (51/31,130/79) Hyperbolic Matrix(1455,2392,632,1039) (-51/31,-23/14) -> (23/10,53/23) Hyperbolic Matrix(571,936,158,259) (-23/14,-18/11) -> (18/5,29/8) Hyperbolic Matrix(415,676,-256,-417) (-18/11,-13/8) -> (-13/8,-34/21) Parabolic Matrix(2185,3536,-1606,-2599) (-34/21,-55/34) -> (-49/36,-34/25) Hyperbolic Matrix(5981,9672,2348,3797) (-131/81,-76/47) -> (28/11,79/31) Hyperbolic Matrix(1611,2600,676,1091) (-21/13,-50/31) -> (50/21,31/13) Hyperbolic Matrix(26831,43264,10190,16431) (-129/80,-208/129) -> (208/79,79/30) Hyperbolic Matrix(26833,43264,10192,16433) (-208/129,-79/49) -> (129/49,208/79) Hyperbolic Matrix(1613,2600,420,677) (-79/49,-29/18) -> (23/6,27/7) Hyperbolic Matrix(1195,1924,936,1507) (-29/18,-37/23) -> (37/29,23/18) Hyperbolic Matrix(259,416,226,363) (-37/23,-8/5) -> (8/7,15/13) Hyperbolic Matrix(883,1404,-622,-989) (-8/5,-27/17) -> (-27/19,-44/31) Hyperbolic Matrix(1507,2392,1146,1819) (-27/17,-73/46) -> (21/16,25/19) Hyperbolic Matrix(10193,16172,-8062,-12791) (-119/75,-46/29) -> (-110/87,-67/53) Hyperbolic Matrix(623,988,524,831) (-46/29,-19/12) -> (19/16,6/5) Hyperbolic Matrix(625,988,198,313) (-19/12,-49/31) -> (3/1,19/6) Hyperbolic Matrix(5199,8216,-3686,-5825) (-49/31,-79/50) -> (-79/56,-55/39) Hyperbolic Matrix(1715,2704,626,987) (-41/26,-52/33) -> (52/19,11/4) Hyperbolic Matrix(1717,2704,628,989) (-52/33,-11/7) -> (41/15,52/19) Hyperbolic Matrix(365,572,-298,-467) (-11/7,-25/16) -> (-27/22,-11/9) Hyperbolic Matrix(2131,3328,632,987) (-25/16,-64/41) -> (64/19,27/8) Hyperbolic Matrix(3899,6084,-2500,-3901) (-64/41,-39/25) -> (-39/25,-92/59) Parabolic Matrix(935,1456,734,1143) (-53/34,-14/9) -> (14/11,51/40) Hyperbolic Matrix(1039,1612,-738,-1145) (-14/9,-31/20) -> (-31/22,-38/27) Hyperbolic Matrix(571,884,436,675) (-31/20,-17/11) -> (17/13,21/16) Hyperbolic Matrix(573,884,304,469) (-17/11,-37/24) -> (15/8,17/9) Hyperbolic Matrix(1925,2964,-1384,-2131) (-37/24,-20/13) -> (-32/23,-89/64) Hyperbolic Matrix(1561,2392,340,521) (-23/15,-26/17) -> (78/17,23/5) Hyperbolic Matrix(1091,1664,238,363) (-26/17,-3/2) -> (55/12,78/17) Hyperbolic Matrix(675,988,248,363) (-3/2,-19/13) -> (19/7,49/18) Hyperbolic Matrix(1353,1976,784,1145) (-19/13,-35/24) -> (69/40,19/11) Hyperbolic Matrix(4317,6292,3176,4629) (-35/24,-51/35) -> (53/39,87/64) Hyperbolic Matrix(3641,5304,786,1145) (-51/35,-16/11) -> (88/19,51/11) Hyperbolic Matrix(467,676,-324,-469) (-16/11,-13/9) -> (-13/9,-36/25) Parabolic Matrix(833,1196,218,313) (-23/16,-33/23) -> (19/5,23/6) Hyperbolic Matrix(1559,2236,1232,1767) (-33/23,-43/30) -> (43/34,19/15) Hyperbolic Matrix(363,520,326,467) (-43/30,-10/7) -> (10/9,9/8) Hyperbolic Matrix(7591,10816,2262,3223) (-57/40,-104/73) -> (104/31,47/14) Hyperbolic Matrix(7593,10816,2264,3225) (-104/73,-47/33) -> (57/17,104/31) Hyperbolic Matrix(4419,6292,-3178,-4525) (-47/33,-37/26) -> (-89/64,-57/41) Hyperbolic Matrix(2341,3328,842,1197) (-64/45,-27/19) -> (25/9,64/23) Hyperbolic Matrix(1613,2288,184,261) (-61/43,-78/55) -> (26/3,9/1) Hyperbolic Matrix(1247,1768,146,207) (-78/55,-17/12) -> (17/2,26/3) Hyperbolic Matrix(625,884,-514,-727) (-17/12,-24/17) -> (-28/23,-17/14) Hyperbolic Matrix(2911,4108,1768,2495) (-24/17,-79/56) -> (79/48,28/17) Hyperbolic Matrix(1923,2704,554,779) (-45/32,-52/37) -> (52/15,7/2) Hyperbolic Matrix(1925,2704,556,781) (-52/37,-7/5) -> (45/13,52/15) Hyperbolic Matrix(261,364,38,53) (-7/5,-32/23) -> (20/3,7/1) Hyperbolic Matrix(7799,10816,2174,3015) (-43/31,-104/75) -> (104/29,61/17) Hyperbolic Matrix(7801,10816,2176,3017) (-104/75,-61/44) -> (43/12,104/29) Hyperbolic Matrix(677,936,264,365) (-18/13,-29/21) -> (23/9,18/7) Hyperbolic Matrix(415,572,-378,-521) (-51/37,-11/8) -> (-11/10,-1/1) Hyperbolic Matrix(417,572,304,417) (-11/8,-26/19) -> (26/19,11/8) Hyperbolic Matrix(571,780,418,571) (-26/19,-15/11) -> (15/11,26/19) Hyperbolic Matrix(31823,43264,8414,11439) (-121/89,-208/153) -> (208/55,87/23) Hyperbolic Matrix(31825,43264,8416,11441) (-208/153,-87/64) -> (121/32,208/55) Hyperbolic Matrix(4629,6292,3176,4317) (-87/64,-53/39) -> (51/35,35/24) Hyperbolic Matrix(2029,2756,-1722,-2339) (-53/39,-19/14) -> (-33/28,-53/45) Hyperbolic Matrix(883,1196,268,363) (-19/14,-23/17) -> (23/7,33/10) Hyperbolic Matrix(1923,2600,730,987) (-23/17,-27/20) -> (79/30,29/11) Hyperbolic Matrix(155,208,38,51) (-27/20,-4/3) -> (4/1,25/6) Hyperbolic Matrix(157,208,40,53) (-4/3,-25/19) -> (27/7,4/1) Hyperbolic Matrix(1819,2392,1146,1507) (-25/19,-21/16) -> (73/46,27/17) Hyperbolic Matrix(675,884,436,571) (-21/16,-17/13) -> (17/11,31/20) Hyperbolic Matrix(519,676,-400,-521) (-17/13,-13/10) -> (-13/10,-35/27) Parabolic Matrix(2131,2756,924,1195) (-22/17,-53/41) -> (53/23,30/13) Hyperbolic Matrix(2495,3224,1126,1455) (-53/41,-31/24) -> (31/14,51/23) Hyperbolic Matrix(1249,1612,726,937) (-31/24,-9/7) -> (43/25,31/18) Hyperbolic Matrix(1301,1664,448,573) (-55/43,-78/61) -> (26/9,3/1) Hyperbolic Matrix(1871,2392,650,831) (-78/61,-23/18) -> (23/8,26/9) Hyperbolic Matrix(1507,1924,936,1195) (-23/18,-37/29) -> (37/23,29/18) Hyperbolic Matrix(4159,5304,1304,1663) (-88/69,-51/40) -> (51/16,16/5) Hyperbolic Matrix(1143,1456,734,935) (-51/40,-14/11) -> (14/9,53/34) Hyperbolic Matrix(2131,2704,450,571) (-33/26,-52/41) -> (52/11,19/4) Hyperbolic Matrix(2133,2704,452,573) (-52/41,-19/15) -> (33/7,52/11) Hyperbolic Matrix(1767,2236,1232,1559) (-19/15,-43/34) -> (43/30,33/23) Hyperbolic Matrix(207,260,82,103) (-24/19,-5/4) -> (5/2,28/11) Hyperbolic Matrix(209,260,168,209) (-5/4,-26/21) -> (26/21,5/4) Hyperbolic Matrix(883,1092,714,883) (-26/21,-21/17) -> (21/17,26/21) Hyperbolic Matrix(1351,1664,928,1143) (-53/43,-16/13) -> (16/11,51/35) Hyperbolic Matrix(469,572,214,261) (-11/9,-28/23) -> (24/11,11/5) Hyperbolic Matrix(2235,2704,386,467) (-23/19,-52/43) -> (52/9,29/5) Hyperbolic Matrix(2237,2704,388,469) (-52/43,-29/24) -> (23/4,52/9) Hyperbolic Matrix(831,988,524,623) (-6/5,-19/16) -> (19/12,46/29) Hyperbolic Matrix(571,676,-484,-573) (-19/16,-13/11) -> (-13/11,-33/28) Parabolic Matrix(311,364,88,103) (-20/17,-7/6) -> (7/2,32/9) Hyperbolic Matrix(2339,2704,314,363) (-37/32,-52/45) -> (52/7,15/2) Hyperbolic Matrix(2341,2704,316,365) (-52/45,-15/13) -> (37/5,52/7) Hyperbolic Matrix(363,416,226,259) (-15/13,-8/7) -> (8/5,37/23) Hyperbolic Matrix(1561,1768,460,521) (-17/15,-26/23) -> (78/23,17/5) Hyperbolic Matrix(2027,2288,598,675) (-26/23,-9/8) -> (61/18,78/23) Hyperbolic Matrix(467,520,326,363) (-9/8,-10/9) -> (10/7,43/30) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(519,-572,284,-313) (1/1,10/9) -> (42/23,53/29) Hyperbolic Matrix(779,-884,230,-261) (9/8,8/7) -> (44/13,61/18) Hyperbolic Matrix(313,-364,178,-207) (15/13,7/6) -> (7/4,37/21) Hyperbolic Matrix(573,-676,484,-571) (20/17,13/11) -> (13/11,32/27) Parabolic Matrix(2237,-2652,1008,-1195) (32/27,19/16) -> (71/32,20/9) Hyperbolic Matrix(729,-884,428,-519) (6/5,17/14) -> (17/10,46/27) Hyperbolic Matrix(727,-884,514,-625) (17/14,11/9) -> (41/29,17/12) Hyperbolic Matrix(677,-832,380,-467) (11/9,16/13) -> (16/9,41/23) Hyperbolic Matrix(3121,-3848,674,-831) (16/13,37/30) -> (37/8,88/19) Hyperbolic Matrix(4213,-5200,1558,-1923) (37/30,21/17) -> (73/27,119/44) Hyperbolic Matrix(1975,-2496,906,-1145) (24/19,43/34) -> (61/28,24/11) Hyperbolic Matrix(573,-728,122,-155) (19/15,14/11) -> (14/3,33/7) Hyperbolic Matrix(3017,-3848,570,-727) (51/40,37/29) -> (37/7,53/10) Hyperbolic Matrix(365,-468,202,-259) (23/18,9/7) -> (9/5,29/16) Hyperbolic Matrix(883,-1144,362,-469) (22/17,13/10) -> (39/16,22/9) Hyperbolic Matrix(677,-884,278,-363) (13/10,17/13) -> (17/7,39/16) Hyperbolic Matrix(3483,-4732,1570,-2133) (19/14,53/39) -> (51/23,71/32) Hyperbolic Matrix(5201,-7072,1376,-1871) (87/64,34/25) -> (34/9,121/32) Hyperbolic Matrix(1873,-2548,1146,-1559) (34/25,15/11) -> (67/41,18/11) Hyperbolic Matrix(1093,-1508,640,-883) (11/8,29/21) -> (29/17,41/24) Hyperbolic Matrix(937,-1300,524,-727) (18/13,25/18) -> (25/14,34/19) Hyperbolic Matrix(1197,-1664,710,-987) (25/18,32/23) -> (32/19,27/16) Hyperbolic Matrix(1145,-1612,738,-1039) (7/5,31/22) -> (31/20,45/29) Hyperbolic Matrix(2029,-2860,774,-1091) (31/22,24/17) -> (76/29,21/8) Hyperbolic Matrix(989,-1404,622,-883) (17/12,27/19) -> (27/17,35/22) Hyperbolic Matrix(2339,-3328,622,-885) (64/45,37/26) -> (15/4,64/17) Hyperbolic Matrix(1351,-1924,804,-1145) (37/26,47/33) -> (5/3,37/22) Hyperbolic Matrix(729,-1040,218,-311) (47/33,10/7) -> (10/3,57/17) Hyperbolic Matrix(831,-1196,362,-521) (23/16,13/9) -> (39/17,23/10) Hyperbolic Matrix(573,-832,250,-363) (13/9,16/11) -> (16/7,39/17) Hyperbolic Matrix(779,-1196,170,-261) (3/2,20/13) -> (32/7,55/12) Hyperbolic Matrix(1249,-1924,742,-1143) (20/13,37/24) -> (37/22,32/19) Hyperbolic Matrix(1507,-2340,436,-677) (45/29,14/9) -> (38/11,45/13) Hyperbolic Matrix(4369,-6812,1200,-1871) (53/34,39/25) -> (91/25,51/14) Hyperbolic Matrix(4731,-7384,1300,-2029) (39/25,64/41) -> (40/11,91/25) Hyperbolic Matrix(831,-1300,466,-729) (25/16,11/7) -> (41/23,25/14) Hyperbolic Matrix(989,-1560,362,-571) (11/7,30/19) -> (30/11,41/15) Hyperbolic Matrix(1613,-2548,954,-1507) (30/19,49/31) -> (49/29,22/13) Hyperbolic Matrix(3277,-5200,622,-987) (46/29,73/46) -> (21/4,58/11) Hyperbolic Matrix(261,-416,32,-51) (35/22,8/5) -> (8/1,17/2) Hyperbolic Matrix(6449,-10400,2450,-3951) (79/49,50/31) -> (50/19,129/49) Hyperbolic Matrix(417,-676,256,-415) (21/13,13/8) -> (13/8,31/19) Parabolic Matrix(1975,-3224,574,-937) (31/19,49/30) -> (55/16,31/9) Hyperbolic Matrix(5251,-8580,1560,-2549) (49/30,67/41) -> (37/11,101/30) Hyperbolic Matrix(4679,-7904,1786,-3017) (27/16,49/29) -> (55/21,131/50) Hyperbolic Matrix(675,-1144,154,-261) (22/13,17/10) -> (35/8,22/5) Hyperbolic Matrix(885,-1508,152,-259) (46/27,29/17) -> (29/5,6/1) Hyperbolic Matrix(1613,-2756,882,-1507) (41/24,53/31) -> (53/29,11/6) Hyperbolic Matrix(3223,-5512,1156,-1977) (53/31,12/7) -> (92/33,53/19) Hyperbolic Matrix(2755,-4732,818,-1405) (12/7,55/32) -> (101/30,64/19) Hyperbolic Matrix(11857,-20384,4960,-8527) (55/32,98/57) -> (98/41,153/64) Hyperbolic Matrix(5201,-8944,1088,-1871) (98/57,43/25) -> (43/9,110/23) Hyperbolic Matrix(1091,-1924,148,-261) (37/21,30/17) -> (22/3,37/5) Hyperbolic Matrix(675,-1196,206,-365) (23/13,16/9) -> (36/11,23/7) Hyperbolic Matrix(1249,-2236,348,-623) (34/19,9/5) -> (61/17,18/5) Hyperbolic Matrix(573,-1040,200,-363) (29/16,20/11) -> (20/7,23/8) Hyperbolic Matrix(1143,-2080,172,-313) (20/11,51/28) -> (53/8,20/3) Hyperbolic Matrix(2393,-4368,1082,-1975) (31/17,42/23) -> (42/19,73/33) Hyperbolic Matrix(365,-676,196,-363) (24/13,13/7) -> (13/7,28/15) Parabolic Matrix(1197,-2236,250,-467) (28/15,15/8) -> (67/14,24/5) Hyperbolic Matrix(313,-676,144,-311) (15/7,13/6) -> (13/6,37/17) Parabolic Matrix(2651,-5772,502,-1093) (37/17,61/28) -> (95/18,37/7) Hyperbolic Matrix(259,-572,24,-53) (11/5,42/19) -> (10/1,11/1) Hyperbolic Matrix(209,-468,46,-103) (20/9,9/4) -> (9/2,32/7) Hyperbolic Matrix(573,-1300,160,-363) (9/4,25/11) -> (25/7,43/12) Hyperbolic Matrix(365,-832,68,-155) (25/11,16/7) -> (16/3,27/5) Hyperbolic Matrix(157,-364,22,-51) (30/13,7/3) -> (7/1,22/3) Hyperbolic Matrix(4939,-11804,936,-2237) (43/18,98/41) -> (58/11,95/18) Hyperbolic Matrix(1717,-4108,456,-1091) (55/23,12/5) -> (64/17,49/13) Hyperbolic Matrix(625,-1508,172,-415) (12/5,29/12) -> (29/8,40/11) Hyperbolic Matrix(365,-884,64,-155) (29/12,17/7) -> (17/3,23/4) Hyperbolic Matrix(1041,-2548,382,-935) (22/9,27/11) -> (79/29,30/11) Hyperbolic Matrix(677,-1664,190,-467) (27/11,5/2) -> (57/16,25/7) Hyperbolic Matrix(261,-676,100,-259) (18/7,13/5) -> (13/5,34/13) Parabolic Matrix(1351,-3536,358,-937) (34/13,55/21) -> (49/13,34/9) Hyperbolic Matrix(521,-1404,154,-415) (8/3,27/10) -> (27/8,44/13) Hyperbolic Matrix(5979,-16172,1250,-3381) (119/44,46/17) -> (110/23,67/14) Hyperbolic Matrix(3017,-8216,878,-2391) (49/18,79/29) -> (79/23,55/16) Hyperbolic Matrix(207,-572,38,-105) (11/4,25/9) -> (27/5,11/2) Hyperbolic Matrix(2185,-6084,784,-2183) (64/23,39/14) -> (39/14,92/33) Parabolic Matrix(573,-1612,166,-467) (14/5,31/11) -> (31/9,38/11) Hyperbolic Matrix(1039,-2964,292,-833) (37/13,20/7) -> (32/9,89/25) Hyperbolic Matrix(209,-676,64,-207) (16/5,13/4) -> (13/4,36/11) Parabolic Matrix(1873,-6292,526,-1767) (47/14,37/11) -> (89/25,57/16) Hyperbolic Matrix(259,-884,46,-157) (17/5,24/7) -> (28/5,17/3) Hyperbolic Matrix(157,-572,14,-51) (51/14,11/3) -> (11/1,1/0) Hyperbolic Matrix(727,-2756,110,-417) (53/14,19/5) -> (33/5,53/8) Hyperbolic Matrix(157,-676,36,-155) (17/4,13/3) -> (13/3,35/8) Parabolic Matrix(105,-676,16,-103) (19/3,13/2) -> (13/2,33/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(53,572,-24,-259) -> Matrix(45,-2,698,-31) Matrix(53,520,16,157) -> Matrix(179,-8,5840,-261) Matrix(105,884,-74,-623) -> Matrix(131,-6,1070,-49) Matrix(53,416,20,157) -> Matrix(87,-4,2980,-137) Matrix(51,364,-22,-157) -> Matrix(43,-2,538,-25) Matrix(53,364,38,261) -> Matrix(127,-6,5440,-257) Matrix(103,676,-16,-105) -> Matrix(379,-18,7938,-377) Matrix(415,2652,-228,-1457) -> Matrix(209,-10,2738,-131) Matrix(157,988,58,365) -> Matrix(41,-2,1456,-71) Matrix(155,884,-64,-365) -> Matrix(41,-2,472,-23) Matrix(157,884,-46,-259) -> Matrix(203,-10,3512,-173) Matrix(155,832,-68,-365) -> Matrix(81,-4,1114,-55) Matrix(727,3848,-570,-3017) -> Matrix(1047,-52,5980,-297) Matrix(987,5200,-622,-3277) -> Matrix(241,-12,2390,-119) Matrix(209,1092,40,209) -> Matrix(521,-26,15610,-779) Matrix(51,260,10,51) -> Matrix(119,-6,3590,-181) Matrix(53,260,32,157) -> Matrix(39,-2,1580,-81) Matrix(521,2496,-282,-1351) -> Matrix(157,-8,1786,-91) Matrix(469,2236,142,677) -> Matrix(509,-26,16660,-851) Matrix(155,728,-122,-573) -> Matrix(311,-16,1730,-89) Matrix(313,1456,112,521) -> Matrix(155,-8,5212,-269) Matrix(831,3848,-674,-3121) -> Matrix(1003,-52,4880,-253) Matrix(417,1924,158,729) -> Matrix(115,-6,4006,-209) Matrix(103,468,-46,-209) -> Matrix(39,-2,488,-25) Matrix(363,1612,152,675) -> Matrix(39,-2,1346,-69) Matrix(729,3224,400,1769) -> Matrix(77,-4,2676,-139) Matrix(625,2756,354,1561) -> Matrix(115,-6,4696,-245) Matrix(261,1144,-154,-675) -> Matrix(153,-8,1664,-87) Matrix(207,884,-122,-521) -> Matrix(113,-6,1262,-67) Matrix(209,884,74,313) -> Matrix(37,-2,1314,-71) Matrix(573,2392,212,885) -> Matrix(1,0,16,1) Matrix(51,208,38,155) -> Matrix(75,-4,3244,-173) Matrix(53,208,40,157) -> Matrix(73,-4,3194,-175) Matrix(677,2600,420,1613) -> Matrix(1,0,22,1) Matrix(313,1196,218,833) -> Matrix(35,-2,1488,-85) Matrix(1249,4732,-686,-2599) -> Matrix(183,-10,2434,-133) Matrix(1663,6292,522,1975) -> Matrix(767,-42,25658,-1405) Matrix(1871,7072,-1376,-5201) -> Matrix(1021,-56,6910,-379) Matrix(675,2548,-262,-989) -> Matrix(255,-14,3734,-205) Matrix(209,780,56,209) -> Matrix(253,-14,8078,-447) Matrix(155,572,42,155) -> Matrix(179,-10,5746,-321) Matrix(415,1508,-172,-625) -> Matrix(35,-2,578,-33) Matrix(259,936,158,571) -> Matrix(1,0,22,1) Matrix(363,1300,-160,-573) -> Matrix(37,-2,500,-27) Matrix(467,1664,-190,-677) -> Matrix(71,-4,1012,-57) Matrix(103,364,88,311) -> Matrix(107,-6,4940,-277) Matrix(467,1612,-166,-573) -> Matrix(35,-2,438,-25) Matrix(831,2860,-514,-1769) -> Matrix(243,-14,2378,-137) Matrix(365,1248,198,677) -> Matrix(69,-4,2674,-155) Matrix(415,1404,-154,-521) -> Matrix(33,-2,512,-31) Matrix(987,3328,632,2131) -> Matrix(69,-4,2812,-163) Matrix(989,3328,-726,-2443) -> Matrix(69,-4,466,-27) Matrix(573,1924,-232,-779) -> Matrix(31,-2,450,-29) Matrix(311,1040,-218,-729) -> Matrix(1,0,-10,1) Matrix(157,520,16,53) -> Matrix(139,-8,3840,-221) Matrix(677,2236,142,469) -> Matrix(449,-26,13660,-791) Matrix(363,1196,268,883) -> Matrix(35,-2,1488,-85) Matrix(365,1196,-206,-675) -> Matrix(103,-6,1116,-65) Matrix(259,832,-146,-469) -> Matrix(67,-4,754,-45) Matrix(521,1664,98,313) -> Matrix(267,-16,7960,-477) Matrix(1975,6292,522,1663) -> Matrix(695,-42,22058,-1333) Matrix(623,1976,262,831) -> Matrix(65,-4,2324,-143) Matrix(313,988,198,625) -> Matrix(31,-2,1256,-81) Matrix(417,1196,-326,-935) -> Matrix(31,-2,202,-13) Matrix(675,1924,-274,-781) -> Matrix(95,-6,1346,-85) Matrix(311,884,146,415) -> Matrix(31,-2,1194,-77) Matrix(313,884,74,209) -> Matrix(29,-2,914,-63) Matrix(833,2340,-592,-1663) -> Matrix(41,-2,308,-15) Matrix(521,1456,112,313) -> Matrix(131,-8,4012,-245) Matrix(2443,6812,-1772,-4941) -> Matrix(547,-34,4006,-249) Matrix(2653,7384,-1924,-5355) -> Matrix(509,-32,3738,-235) Matrix(1197,3328,842,2341) -> Matrix(63,-4,2662,-169) Matrix(469,1300,-206,-571) -> Matrix(31,-2,450,-29) Matrix(571,1560,-362,-989) -> Matrix(247,-16,2362,-153) Matrix(935,2548,-382,-1041) -> Matrix(31,-2,388,-25) Matrix(363,988,248,675) -> Matrix(31,-2,1256,-81) Matrix(365,988,58,157) -> Matrix(29,-2,856,-59) Matrix(1923,5200,-1558,-4213) -> Matrix(181,-12,890,-59) Matrix(885,2392,212,573) -> Matrix(1,0,16,1) Matrix(155,416,-136,-365) -> Matrix(59,-4,192,-13) Matrix(157,416,20,53) -> Matrix(63,-4,1780,-113) Matrix(729,1924,158,417) -> Matrix(91,-6,2806,-185) Matrix(987,2600,730,1923) -> Matrix(1,0,28,1) Matrix(3951,10400,-2450,-6449) -> Matrix(1,0,-6,1) Matrix(989,2600,574,1509) -> Matrix(1,0,24,1) Matrix(259,676,-100,-261) -> Matrix(91,-6,1350,-89) Matrix(1249,3224,-886,-2287) -> Matrix(57,-4,442,-31) Matrix(3329,8580,-2340,-6031) -> Matrix(29,-2,276,-19) Matrix(365,936,264,677) -> Matrix(1,0,28,1) Matrix(937,2392,530,1353) -> Matrix(57,-4,2266,-159) Matrix(5201,13260,2040,5201) -> Matrix(309,-22,11110,-791) Matrix(8059,20540,3162,8059) -> Matrix(363,-26,13082,-937) Matrix(1613,4108,470,1197) -> Matrix(137,-10,4480,-327) Matrix(103,260,82,207) -> Matrix(31,-2,1380,-89) Matrix(3225,7904,-1994,-4887) -> Matrix(1,0,-4,1) Matrix(469,1144,-362,-883) -> Matrix(113,-8,664,-47) Matrix(623,1508,-516,-1249) -> Matrix(19,-2,86,-9) Matrix(1143,2756,-518,-1249) -> Matrix(31,-2,450,-29) Matrix(2289,5512,-1468,-3535) -> Matrix(181,-12,1614,-107) Matrix(1977,4732,-1390,-3327) -> Matrix(27,-2,230,-17) Matrix(8527,20384,-4960,-11857) -> Matrix(1,0,-8,1) Matrix(3743,8944,-2960,-7073) -> Matrix(125,-8,672,-43) Matrix(675,1612,152,363) -> Matrix(31,-2,946,-61) Matrix(1091,2600,676,1611) -> Matrix(1,0,26,1) Matrix(415,988,218,519) -> Matrix(29,-2,1088,-75) Matrix(831,1976,262,623) -> Matrix(57,-4,1924,-135) Matrix(417,988,176,417) -> Matrix(85,-6,3046,-215) Matrix(155,364,66,155) -> Matrix(27,-2,986,-73) Matrix(833,1924,-720,-1663) -> Matrix(41,-2,144,-7) Matrix(1195,2756,924,2131) -> Matrix(95,-6,4196,-265) Matrix(1039,2392,632,1455) -> Matrix(59,-4,2316,-157) Matrix(521,1196,-362,-831) -> Matrix(85,-6,666,-47) Matrix(987,2236,-712,-1613) -> Matrix(27,-2,230,-17) Matrix(467,1040,-304,-677) -> Matrix(51,-4,472,-37) Matrix(937,2080,-796,-1767) -> Matrix(97,-8,376,-31) Matrix(1455,3224,1126,2495) -> Matrix(39,-4,1726,-177) Matrix(1975,4368,-1082,-2393) -> Matrix(1,0,-10,1) Matrix(571,1248,404,883) -> Matrix(55,-4,2324,-169) Matrix(311,676,-144,-313) -> Matrix(27,-2,338,-25) Matrix(1039,2236,-822,-1769) -> Matrix(21,-2,116,-11) Matrix(415,884,146,311) -> Matrix(23,-2,794,-69) Matrix(469,988,272,573) -> Matrix(25,-2,988,-79) Matrix(519,988,218,415) -> Matrix(25,-2,888,-71) Matrix(469,884,304,573) -> Matrix(27,-2,1094,-81) Matrix(363,676,-196,-365) -> Matrix(25,-2,288,-23) Matrix(3121,5772,-2530,-4679) -> Matrix(111,-10,544,-49) Matrix(311,572,56,103) -> Matrix(25,-2,738,-59) Matrix(313,572,-284,-519) -> Matrix(19,-2,48,-5) Matrix(5927,10816,2678,4887) -> Matrix(1,0,46,1) Matrix(5929,10816,2680,4889) -> Matrix(1,0,4,1) Matrix(1769,3224,400,729) -> Matrix(61,-4,1876,-123) Matrix(259,468,-202,-365) -> Matrix(25,-2,138,-11) Matrix(727,1300,-524,-937) -> Matrix(23,-2,150,-13) Matrix(467,832,-380,-677) -> Matrix(45,-4,214,-19) Matrix(1353,2392,530,937) -> Matrix(41,-4,1466,-143) Matrix(1561,2756,354,625) -> Matrix(55,-6,1696,-185) Matrix(207,364,-178,-313) -> Matrix(25,-2,88,-7) Matrix(209,364,120,209) -> Matrix(23,-2,886,-77) Matrix(571,988,330,571) -> Matrix(65,-6,2546,-235) Matrix(1145,1976,784,1353) -> Matrix(43,-4,1774,-165) Matrix(573,988,272,469) -> Matrix(21,-2,788,-75) Matrix(1509,2600,574,989) -> Matrix(1,0,24,1) Matrix(937,1612,726,1249) -> Matrix(19,-2,846,-89) Matrix(6865,11804,-5564,-9567) -> Matrix(91,-10,446,-49) Matrix(25167,43264,10526,18095) -> Matrix(1,0,34,1) Matrix(25169,43264,10528,18097) -> Matrix(1,0,16,1) Matrix(2391,4108,-1756,-3017) -> Matrix(67,-6,458,-41) Matrix(883,1508,-640,-1093) -> Matrix(17,-2,128,-15) Matrix(519,884,-428,-729) -> Matrix(27,-2,122,-9) Matrix(1507,2548,-954,-1613) -> Matrix(25,-2,238,-19) Matrix(987,1664,-710,-1197) -> Matrix(43,-4,312,-29) Matrix(157,260,32,53) -> Matrix(19,-2,580,-61) Matrix(5875,9672,2242,3691) -> Matrix(89,-8,3104,-279) Matrix(12481,20540,7584,12481) -> Matrix(287,-26,11182,-1013) Matrix(8059,13260,4898,8059) -> Matrix(241,-22,9410,-859) Matrix(1455,2392,632,1039) -> Matrix(43,-4,1516,-141) Matrix(571,936,158,259) -> Matrix(1,0,22,1) Matrix(415,676,-256,-417) -> Matrix(61,-6,600,-59) Matrix(2185,3536,-1606,-2599) -> Matrix(155,-16,1056,-109) Matrix(5981,9672,2348,3797) -> Matrix(79,-8,2854,-289) Matrix(1611,2600,676,1091) -> Matrix(1,0,26,1) Matrix(26831,43264,10190,16431) -> Matrix(1,0,26,1) Matrix(26833,43264,10192,16433) -> Matrix(1,0,24,1) Matrix(1613,2600,420,677) -> Matrix(1,0,22,1) Matrix(1195,1924,936,1507) -> Matrix(59,-6,2606,-265) Matrix(259,416,226,363) -> Matrix(37,-4,1730,-187) Matrix(883,1404,-622,-989) -> Matrix(19,-2,162,-17) Matrix(1507,2392,1146,1819) -> Matrix(1,0,34,1) Matrix(10193,16172,-8062,-12791) -> Matrix(137,-14,734,-75) Matrix(623,988,524,831) -> Matrix(21,-2,956,-91) Matrix(625,988,198,313) -> Matrix(19,-2,656,-69) Matrix(5199,8216,-3686,-5825) -> Matrix(349,-36,2666,-275) Matrix(1715,2704,626,987) -> Matrix(267,-28,9202,-965) Matrix(1717,2704,628,989) -> Matrix(265,-28,9152,-967) Matrix(365,572,-298,-467) -> Matrix(55,-6,266,-29) Matrix(2131,3328,632,987) -> Matrix(37,-4,1212,-131) Matrix(3899,6084,-2500,-3901) -> Matrix(199,-22,1782,-197) Matrix(935,1456,734,1143) -> Matrix(69,-8,3062,-355) Matrix(1039,1612,-738,-1145) -> Matrix(25,-2,188,-15) Matrix(571,884,436,675) -> Matrix(21,-2,914,-87) Matrix(573,884,304,469) -> Matrix(19,-2,694,-73) Matrix(1925,2964,-1384,-2131) -> Matrix(19,-2,124,-13) Matrix(1561,2392,340,521) -> Matrix(109,-12,3370,-371) Matrix(1091,1664,238,363) -> Matrix(35,-4,1094,-125) Matrix(675,988,248,363) -> Matrix(19,-2,656,-69) Matrix(1353,1976,784,1145) -> Matrix(35,-4,1374,-157) Matrix(4317,6292,3176,4629) -> Matrix(355,-42,15358,-1817) Matrix(3641,5304,786,1145) -> Matrix(369,-44,11330,-1351) Matrix(467,676,-324,-469) -> Matrix(81,-10,640,-79) Matrix(833,1196,218,313) -> Matrix(15,-2,488,-65) Matrix(1559,2236,1232,1767) -> Matrix(201,-26,8960,-1159) Matrix(363,520,326,467) -> Matrix(61,-8,2890,-379) Matrix(7591,10816,2262,3223) -> Matrix(1,0,30,1) Matrix(7593,10816,2264,3225) -> Matrix(1,0,20,1) Matrix(4419,6292,-3178,-4525) -> Matrix(17,-2,128,-15) Matrix(2341,3328,842,1197) -> Matrix(31,-4,1062,-137) Matrix(1613,2288,184,261) -> Matrix(161,-20,4500,-559) Matrix(1247,1768,146,207) -> Matrix(159,-20,4460,-561) Matrix(625,884,-514,-727) -> Matrix(77,-10,362,-47) Matrix(2911,4108,1768,2495) -> Matrix(77,-10,2980,-387) Matrix(1923,2704,554,779) -> Matrix(331,-44,10750,-1429) Matrix(1925,2704,556,781) -> Matrix(329,-44,10700,-1431) Matrix(261,364,38,53) -> Matrix(43,-6,1240,-173) Matrix(7799,10816,2174,3015) -> Matrix(1,0,28,1) Matrix(7801,10816,2176,3017) -> Matrix(1,0,22,1) Matrix(677,936,264,365) -> Matrix(1,0,28,1) Matrix(415,572,-378,-521) -> Matrix(73,-10,168,-23) Matrix(417,572,304,417) -> Matrix(71,-10,3046,-429) Matrix(571,780,418,571) -> Matrix(97,-14,4178,-603) Matrix(31823,43264,8414,11439) -> Matrix(2485,-368,78892,-11683) Matrix(31825,43264,8416,11441) -> Matrix(2483,-368,78842,-11685) Matrix(4629,6292,3176,4317) -> Matrix(283,-42,11758,-1745) Matrix(2029,2756,-1722,-2339) -> Matrix(227,-34,888,-133) Matrix(883,1196,268,363) -> Matrix(15,-2,488,-65) Matrix(1923,2600,730,987) -> Matrix(1,0,28,1) Matrix(155,208,38,51) -> Matrix(27,-4,844,-125) Matrix(157,208,40,53) -> Matrix(25,-4,794,-127) Matrix(1819,2392,1146,1507) -> Matrix(1,0,34,1) Matrix(675,884,436,571) -> Matrix(13,-2,514,-79) Matrix(519,676,-400,-521) -> Matrix(85,-14,504,-83) Matrix(2131,2756,924,1195) -> Matrix(35,-6,1196,-205) Matrix(2495,3224,1126,1455) -> Matrix(23,-4,926,-161) Matrix(1249,1612,726,937) -> Matrix(11,-2,446,-81) Matrix(1301,1664,448,573) -> Matrix(25,-4,844,-135) Matrix(1871,2392,650,831) -> Matrix(71,-12,2420,-409) Matrix(1507,1924,936,1195) -> Matrix(35,-6,1406,-241) Matrix(4159,5304,1304,1663) -> Matrix(251,-44,8380,-1469) Matrix(1143,1456,734,935) -> Matrix(45,-8,1862,-331) Matrix(2131,2704,450,571) -> Matrix(331,-60,10090,-1829) Matrix(2133,2704,452,573) -> Matrix(329,-60,10040,-1831) Matrix(1767,2236,1232,1559) -> Matrix(141,-26,5960,-1099) Matrix(207,260,82,103) -> Matrix(11,-2,380,-69) Matrix(209,260,168,209) -> Matrix(31,-6,1390,-269) Matrix(883,1092,714,883) -> Matrix(129,-26,5810,-1171) Matrix(1351,1664,928,1143) -> Matrix(77,-16,3210,-667) Matrix(469,572,214,261) -> Matrix(9,-2,338,-75) Matrix(2235,2704,386,467) -> Matrix(307,-68,9052,-2005) Matrix(2237,2704,388,469) -> Matrix(305,-68,9002,-2007) Matrix(831,988,524,623) -> Matrix(9,-2,356,-79) Matrix(571,676,-484,-573) -> Matrix(73,-18,288,-71) Matrix(311,364,88,103) -> Matrix(23,-6,740,-193) Matrix(2339,2704,314,363) -> Matrix(267,-76,7606,-2165) Matrix(2341,2704,316,365) -> Matrix(265,-76,7556,-2167) Matrix(363,416,226,259) -> Matrix(13,-4,530,-163) Matrix(1561,1768,460,521) -> Matrix(61,-20,2010,-659) Matrix(2027,2288,598,675) -> Matrix(59,-20,1950,-661) Matrix(467,520,326,363) -> Matrix(21,-8,890,-339) Matrix(1,0,2,1) -> Matrix(1,0,50,1) Matrix(519,-572,284,-313) -> Matrix(95,-2,3848,-81) Matrix(779,-884,230,-261) -> Matrix(281,-6,9320,-199) Matrix(313,-364,178,-207) -> Matrix(93,-2,3488,-75) Matrix(573,-676,484,-571) -> Matrix(829,-18,38088,-827) Matrix(2237,-2652,1008,-1195) -> Matrix(459,-10,17488,-381) Matrix(729,-884,428,-519) -> Matrix(91,-2,3322,-73) Matrix(727,-884,514,-625) -> Matrix(453,-10,19162,-423) Matrix(677,-832,380,-467) -> Matrix(181,-4,7014,-155) Matrix(3121,-3848,674,-831) -> Matrix(2347,-52,72080,-1597) Matrix(4213,-5200,1558,-1923) -> Matrix(541,-12,18890,-419) Matrix(1975,-2496,906,-1145) -> Matrix(357,-8,12986,-291) Matrix(573,-728,122,-155) -> Matrix(711,-16,21730,-489) Matrix(3017,-3848,570,-727) -> Matrix(2303,-52,68780,-1553) Matrix(365,-468,202,-259) -> Matrix(89,-2,3338,-75) Matrix(883,-1144,362,-469) -> Matrix(353,-8,12664,-287) Matrix(677,-884,278,-363) -> Matrix(263,-6,9512,-217) Matrix(3483,-4732,1570,-2133) -> Matrix(433,-10,16584,-383) Matrix(5201,-7072,1376,-1871) -> Matrix(2421,-56,76910,-1779) Matrix(1873,-2548,1146,-1559) -> Matrix(605,-14,23984,-555) Matrix(1093,-1508,640,-883) -> Matrix(85,-2,3528,-83) Matrix(937,-1300,524,-727) -> Matrix(87,-2,3350,-77) Matrix(1197,-1664,710,-987) -> Matrix(171,-4,6712,-157) Matrix(1145,-1612,738,-1039) -> Matrix(85,-2,3188,-75) Matrix(2029,-2860,774,-1091) -> Matrix(593,-14,20628,-487) Matrix(989,-1404,622,-883) -> Matrix(83,-2,3362,-81) Matrix(2339,-3328,622,-885) -> Matrix(169,-4,5366,-127) Matrix(1351,-1924,804,-1145) -> Matrix(81,-2,3200,-79) Matrix(729,-1040,218,-311) -> Matrix(1,0,-10,1) Matrix(831,-1196,362,-521) -> Matrix(253,-6,9066,-215) Matrix(573,-832,250,-363) -> Matrix(167,-4,6054,-145) Matrix(779,-1196,170,-261) -> Matrix(81,-2,2552,-63) Matrix(1249,-1924,742,-1143) -> Matrix(245,-6,9596,-235) Matrix(1507,-2340,436,-677) -> Matrix(91,-2,2958,-65) Matrix(4369,-6812,1200,-1871) -> Matrix(1397,-34,45156,-1099) Matrix(4731,-7384,1300,-2029) -> Matrix(1309,-32,42338,-1035) Matrix(831,-1300,466,-729) -> Matrix(81,-2,3200,-79) Matrix(989,-1560,362,-571) -> Matrix(647,-16,22362,-553) Matrix(1613,-2548,954,-1507) -> Matrix(81,-2,3038,-75) Matrix(3277,-5200,622,-987) -> Matrix(481,-12,14390,-359) Matrix(261,-416,32,-51) -> Matrix(159,-4,4492,-113) Matrix(6449,-10400,2450,-3951) -> Matrix(1,0,-6,1) Matrix(417,-676,256,-415) -> Matrix(241,-6,9600,-239) Matrix(1975,-3224,574,-937) -> Matrix(157,-4,5142,-131) Matrix(5251,-8580,1560,-2549) -> Matrix(79,-2,2726,-69) Matrix(4679,-7904,1786,-3017) -> Matrix(1,0,-4,1) Matrix(675,-1144,154,-261) -> Matrix(313,-8,9664,-247) Matrix(885,-1508,152,-259) -> Matrix(69,-2,2036,-59) Matrix(1613,-2756,882,-1507) -> Matrix(81,-2,3200,-79) Matrix(3223,-5512,1156,-1977) -> Matrix(481,-12,16314,-407) Matrix(2755,-4732,818,-1405) -> Matrix(77,-2,2580,-67) Matrix(11857,-20384,4960,-8527) -> Matrix(1,0,-8,1) Matrix(5201,-8944,1088,-1871) -> Matrix(325,-8,9872,-243) Matrix(1091,-1924,148,-261) -> Matrix(91,-2,2594,-57) Matrix(675,-1196,206,-365) -> Matrix(235,-6,7716,-197) Matrix(1249,-2236,348,-623) -> Matrix(77,-2,2580,-67) Matrix(573,-1040,200,-363) -> Matrix(151,-4,5172,-137) Matrix(1143,-2080,172,-313) -> Matrix(297,-8,8576,-231) Matrix(2393,-4368,1082,-1975) -> Matrix(1,0,-10,1) Matrix(365,-676,196,-363) -> Matrix(77,-2,2888,-75) Matrix(1197,-2236,250,-467) -> Matrix(71,-2,2166,-61) Matrix(313,-676,144,-311) -> Matrix(75,-2,2738,-73) Matrix(2651,-5772,502,-1093) -> Matrix(361,-10,10794,-299) Matrix(259,-572,24,-53) -> Matrix(69,-2,1898,-55) Matrix(209,-468,46,-103) -> Matrix(75,-2,2288,-61) Matrix(573,-1300,160,-363) -> Matrix(73,-2,2300,-63) Matrix(365,-832,68,-155) -> Matrix(145,-4,4314,-119) Matrix(157,-364,22,-51) -> Matrix(75,-2,2138,-57) Matrix(4939,-11804,936,-2237) -> Matrix(341,-10,10196,-299) Matrix(1717,-4108,456,-1091) -> Matrix(217,-6,6908,-191) Matrix(625,-1508,172,-415) -> Matrix(67,-2,2178,-65) Matrix(365,-884,64,-155) -> Matrix(77,-2,2272,-59) Matrix(1041,-2548,382,-935) -> Matrix(75,-2,2588,-69) Matrix(677,-1664,190,-467) -> Matrix(143,-4,4612,-129) Matrix(261,-676,100,-259) -> Matrix(211,-6,7350,-209) Matrix(1351,-3536,358,-937) -> Matrix(555,-16,17656,-509) Matrix(521,-1404,154,-415) -> Matrix(69,-2,2312,-67) Matrix(5979,-16172,1250,-3381) -> Matrix(487,-14,14784,-425) Matrix(3017,-8216,878,-2391) -> Matrix(1249,-36,40766,-1175) Matrix(207,-572,38,-105) -> Matrix(205,-6,6116,-179) Matrix(2185,-6084,784,-2183) -> Matrix(749,-22,25432,-747) Matrix(573,-1612,166,-467) -> Matrix(75,-2,2438,-65) Matrix(1039,-2964,292,-833) -> Matrix(69,-2,2174,-63) Matrix(209,-676,64,-207) -> Matrix(331,-10,10890,-329) Matrix(1873,-6292,526,-1767) -> Matrix(67,-2,2178,-65) Matrix(259,-884,46,-157) -> Matrix(327,-10,9712,-297) Matrix(157,-572,14,-51) -> Matrix(323,-10,8818,-273) Matrix(727,-2756,110,-417) -> Matrix(1077,-34,31138,-983) Matrix(157,-676,36,-155) -> Matrix(435,-14,13454,-433) Matrix(105,-676,16,-103) -> Matrix(523,-18,15138,-521) 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): 168 Degree of the the map X: 168 Degree of the the map Y: 336 Imminent integer overflow caused the modular group computation to abort.