INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2160 Minimal number of generators: 361 Number of equivalence classes of cusps: 72 Genus: 145 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -57/37 -19/17 0/1 1/1 19/16 19/15 19/14 19/13 3/2 19/12 19/11 19/10 2/1 19/9 38/17 76/33 19/8 12/5 152/63 76/31 5/2 38/15 76/29 19/7 418/153 114/41 76/27 3/1 19/6 76/23 38/11 7/2 18/5 76/21 11/3 152/41 34/9 19/5 4/1 38/9 17/4 30/7 13/3 9/2 114/25 14/3 19/4 24/5 5/1 26/5 95/18 16/3 38/7 11/2 17/3 40/7 6/1 19/3 32/5 13/2 20/3 7/1 22/3 15/2 38/5 23/3 8/1 9/1 28/3 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -8/1 -1/2 -1/3 -15/2 -1/3 -4/13 -7/1 -1/3 -2/7 -20/3 -1/4 -1/5 -33/5 -1/2 0/1 -13/2 -2/7 -3/11 -19/3 -1/4 -6/1 -1/4 -29/5 -8/37 -3/14 -23/4 -2/9 -1/5 -17/3 -1/5 0/1 -28/5 -1/4 -1/5 -11/2 -4/19 -1/5 -16/3 -1/5 -3/16 -21/4 -1/5 -2/11 -5/1 -2/11 -1/6 -29/6 -1/6 0/1 -24/5 -5/29 -1/6 -19/4 -1/6 -14/3 -1/6 -37/8 -2/13 -1/7 -23/5 -2/13 -5/33 -32/7 -1/6 -1/7 -41/9 -1/6 -2/13 -9/2 -1/6 -2/13 -31/7 -1/7 0/1 -53/12 -1/7 -2/15 -22/5 -1/6 -35/8 -1/6 -2/13 -48/11 -1/6 -1/7 -13/3 -2/13 -5/33 -43/10 -4/27 -5/34 -30/7 -3/20 -17/4 -8/55 -1/7 -4/1 -1/7 -1/8 -19/5 -1/8 -34/9 -1/8 -49/13 -7/57 -6/49 -15/4 -4/33 -3/25 -41/11 -1/8 -2/17 -26/7 -5/42 -63/17 -2/17 -21/179 -37/10 -2/17 -5/43 -11/3 -1/9 0/1 -40/11 -1/9 -1/10 -69/19 -1/9 -2/19 -29/8 -1/10 0/1 -18/5 -1/8 -7/2 -2/17 -1/9 -24/7 -1/9 -3/28 -41/12 -3/28 -2/19 -17/5 -1/9 0/1 -44/13 -1/9 -3/28 -27/8 -2/19 -3/29 -64/19 -1/9 -1/10 -37/11 -5/47 -2/19 -10/3 -1/10 -33/10 -1/6 0/1 -56/17 -1/8 -1/9 -23/7 -2/17 -1/9 -36/11 -1/9 -3/28 -13/4 -1/9 -2/19 -16/5 -1/9 -1/10 -19/6 -1/10 -3/1 -1/10 0/1 -23/8 -2/21 -1/11 -20/7 -1/10 -1/11 -17/6 -1/11 0/1 -31/11 -1/13 0/1 -14/5 -1/10 -39/14 -3/31 -2/21 -64/23 -3/32 -1/11 -25/9 -1/11 0/1 -36/13 -1/11 -1/12 -11/4 -1/11 0/1 -41/15 -2/21 -3/32 -71/26 -1/10 -2/21 -30/11 -3/32 -19/7 -1/11 -8/3 -1/11 -1/12 -37/14 -2/23 -7/81 -29/11 -1/12 0/1 -50/19 -1/10 -21/8 -1/11 -2/23 -34/13 -1/12 -13/5 -1/11 -2/23 -44/17 -1/12 -1/13 -75/29 -1/13 0/1 -31/12 -1/11 0/1 -18/7 -1/12 -59/23 -1/11 0/1 -41/16 -3/34 -2/23 -23/9 -1/11 -2/23 -28/11 -5/59 -1/12 -5/2 -1/12 -2/25 -27/11 -7/87 -2/25 -22/9 -3/38 -61/25 -1/13 0/1 -39/16 -2/25 -1/13 -17/7 -4/51 -1/13 -46/19 -1/14 -75/31 -1/13 0/1 -29/12 -1/12 0/1 -70/29 -5/62 -41/17 -2/25 -7/88 -12/5 -3/38 -1/13 -19/8 -1/13 -26/11 -7/92 -33/14 -5/66 -4/53 -73/31 -4/53 -3/40 -113/48 -1/13 -2/27 -40/17 -1/13 -3/40 -7/3 -1/13 -2/27 -37/16 -5/67 -2/27 -30/13 -7/94 -23/10 -2/27 -11/149 -39/17 -2/27 -7/95 -55/24 -2/27 -3/41 -16/7 -3/41 -1/14 -25/11 -3/41 -4/55 -34/15 -1/14 -77/34 -3/41 -4/55 -43/19 -4/55 -1/14 -9/4 -6/83 -1/14 -20/9 -1/14 -7/99 -31/14 -5/71 -4/57 -73/33 -1/14 -4/57 -115/52 -3/43 -2/29 -42/19 -1/14 -11/5 -4/57 -3/43 -24/11 -3/43 -5/72 -37/17 -7/101 -2/29 -13/6 -2/29 -9/131 -28/13 -5/73 -3/44 -15/7 -7/103 -4/59 -17/8 -8/119 -1/15 -19/9 -1/15 -2/1 -1/16 -19/10 -1/17 -17/9 -1/17 -8/137 -15/8 -4/69 -7/121 -13/7 -9/157 -2/35 -37/20 -2/35 -7/123 -61/33 -7/123 -12/211 -24/13 -5/88 -3/53 -11/6 -3/53 -4/71 -42/23 -1/18 -73/40 -4/71 -1/18 -31/17 -4/71 -5/89 -20/11 -7/125 -1/18 -29/16 -20/359 -1/18 -38/21 -1/18 -9/5 -1/18 -6/109 -25/14 -4/73 -3/55 -16/9 -1/18 -3/55 -39/22 -7/129 -2/37 -23/13 -11/203 -2/37 -76/43 -2/37 -53/30 -2/37 -25/463 -30/17 -7/130 -37/21 -2/37 -5/93 -7/4 -2/37 -1/19 -40/23 -3/56 -1/19 -33/19 -4/75 -5/94 -59/34 -4/75 -1/19 -26/15 -7/132 -19/11 -1/19 -12/7 -1/19 -3/58 -53/31 -5/97 -2/39 -41/24 -7/136 -2/39 -152/89 -2/39 -111/65 -2/39 -17/332 -70/41 -5/98 -29/17 -1/20 0/1 -75/44 -1/19 0/1 -46/27 -1/18 -17/10 -1/19 -4/77 -56/33 -1/19 -3/58 -95/56 -3/58 -39/23 -1/19 -2/39 -100/59 -3/59 -1/20 -61/36 -1/19 0/1 -22/13 -3/58 -49/29 -13/253 -2/39 -76/45 -2/39 -27/16 -2/39 -7/137 -32/19 -3/59 -1/20 -5/3 -2/39 -1/20 -38/23 -1/20 -33/20 -1/20 -12/241 -28/17 -1/20 -5/101 -51/31 -13/263 -4/81 -23/14 -2/41 -1/21 -64/39 -1/20 -3/61 -41/25 -2/41 -3/62 -18/11 -1/20 -13/8 -2/41 -1/21 -47/29 -1/20 -4/81 -81/50 -1/20 -2/41 -115/71 -2/41 -1/21 -149/92 -1/20 0/1 -34/21 -1/20 -55/34 -3/61 -2/41 -76/47 -2/41 -21/13 -2/41 -1/21 -50/31 -1/22 -79/49 -1/20 0/1 -29/18 -1/20 0/1 -8/5 -1/20 -1/21 -19/12 -1/21 -30/19 -3/64 -71/45 -2/43 -1/22 -112/71 -1/21 -3/64 -265/168 -1/21 -2/43 -418/265 -1/21 -153/97 -1/21 -4/85 -41/26 -3/64 -2/43 -52/33 -1/21 -3/64 -11/7 -1/21 0/1 -36/23 -1/20 -1/21 -25/16 -1/21 0/1 -114/73 -1/21 -89/57 -1/21 -6/127 -64/41 -1/21 -3/64 -39/25 -2/43 -3/65 -14/9 -1/22 -45/29 -1/25 0/1 -76/49 0/1 -31/20 -1/19 0/1 -48/31 -1/20 -1/21 -17/11 -1/21 0/1 -37/24 -1/21 -2/43 -57/37 -1/22 -20/13 -1/21 -1/22 -3/2 -1/22 0/1 -22/15 -1/22 -19/13 -1/22 -16/11 -1/22 -1/23 -13/9 -2/45 -1/23 -36/25 -3/68 -1/23 -95/66 -1/23 -59/41 -1/23 -4/93 -23/16 -1/23 -2/47 -56/39 -1/23 -1/24 -33/23 -1/26 0/1 -76/53 0/1 -43/30 -1/18 0/1 -10/7 -1/22 -57/40 -1/22 -47/33 -1/22 -4/89 -37/26 -2/45 -5/113 -64/45 -1/22 -1/23 -91/64 -1/21 0/1 -27/19 -3/67 -2/45 -71/50 -2/45 -3/68 -115/81 -2/45 -1/23 -44/31 -3/68 -1/23 -61/43 -4/91 -9/205 -17/12 -1/23 0/1 -75/53 -1/21 0/1 -133/94 -1/22 -58/41 -1/22 -41/29 -2/45 -3/68 -65/46 -1/23 0/1 -24/17 -3/68 -1/23 -31/22 -8/183 -1/23 -38/27 -1/23 -7/5 -1/23 -2/47 -39/28 -2/47 -3/71 -71/51 -2/47 -1/24 -32/23 -3/71 -1/24 -57/41 -1/24 -25/18 -1/23 0/1 -18/13 -1/24 -47/34 -1/26 0/1 -76/55 0/1 -29/21 -1/22 0/1 -40/29 -1/22 -1/23 -11/8 -1/23 0/1 -48/35 -1/23 -3/70 -85/62 -3/70 -2/47 -37/27 -5/117 -2/47 -63/46 -21/493 -2/47 -152/111 -2/47 -89/65 -2/47 -31/729 -26/19 -5/118 -67/49 -2/47 -1/24 -41/30 -2/47 -1/24 -56/41 -3/71 -1/24 -15/11 -3/71 -4/95 -64/47 -5/119 -1/24 -49/36 -6/143 -7/167 -34/25 -1/24 -19/14 -1/24 -4/3 -1/24 -1/25 -21/16 -10/249 -1/25 -38/29 -1/25 -17/13 -1/25 -8/201 -30/23 -3/76 -43/33 -5/126 -4/101 -13/10 -5/127 -2/51 -48/37 -1/25 -1/26 -83/64 -2/51 -3/77 -35/27 -2/51 -1/26 -57/44 -1/26 -22/17 -1/26 -31/24 -1/25 0/1 -40/31 -1/25 -1/26 -9/7 -2/51 -1/26 -41/32 -2/51 -1/26 -114/89 -1/26 -73/57 -1/26 0/1 -32/25 -1/25 -1/26 -55/43 -2/49 -1/25 -23/18 -5/127 -2/51 -37/29 -1/25 -2/51 -14/11 -1/26 -19/15 -1/26 -24/19 -1/26 -5/131 -53/42 -3/79 -2/53 -29/23 -1/26 0/1 -5/4 -1/26 -2/53 -26/21 -1/28 -21/17 -2/53 -1/27 -58/47 -1/26 -95/77 -1/26 -37/30 -3/79 -2/53 -16/13 -3/80 -1/27 -27/22 -10/269 -1/27 -38/31 -1/27 -11/9 -1/27 -4/109 -39/32 -2/55 -3/83 -67/55 -2/55 -1/28 -95/78 -1/28 -28/23 -1/27 -1/28 -73/60 -1/28 0/1 -45/37 -1/29 0/1 -17/14 -1/27 0/1 -57/47 -1/27 -40/33 -1/27 -7/190 -23/19 -1/27 -2/55 -52/43 -7/191 -3/82 -29/24 -3/82 -8/219 -6/5 -1/28 -19/16 -1/28 -32/27 -1/28 -5/141 -13/11 -3/85 -2/57 -33/28 -1/30 0/1 -20/17 -1/27 -1/28 -7/6 -2/57 -1/29 -22/19 -1/28 -15/13 -4/115 -1/29 -38/33 -1/29 -23/20 -1/29 -6/175 -8/7 -1/29 -1/30 -9/8 -2/59 -1/30 -28/25 -3/89 -1/30 -19/17 -1/30 -10/9 -1/30 -1/1 -1/33 0/1 0/1 0/1 1/1 0/1 1/35 8/7 1/32 1/31 15/13 1/31 4/123 7/6 1/31 2/61 20/17 1/30 1/29 33/28 0/1 1/32 13/11 2/61 3/91 19/16 1/30 6/5 1/30 29/24 8/235 3/88 23/19 2/59 1/29 17/14 0/1 1/29 28/23 1/30 1/29 11/9 4/117 1/29 16/13 1/29 3/86 21/17 1/29 2/57 5/4 2/57 1/28 29/23 0/1 1/28 24/19 5/141 1/28 19/15 1/28 14/11 1/28 37/29 2/55 1/27 23/18 2/55 5/137 32/25 1/28 1/27 41/32 1/28 2/55 9/7 1/28 2/55 31/24 0/1 1/27 53/41 1/27 2/53 22/17 1/28 35/27 1/28 2/55 48/37 1/28 1/27 13/10 2/55 5/137 43/33 4/109 5/136 30/23 3/82 17/13 8/217 1/27 4/3 1/27 1/26 19/14 1/26 34/25 1/26 49/36 7/181 6/155 15/11 4/103 3/77 41/30 1/26 2/51 26/19 5/128 63/46 2/51 21/535 37/27 2/51 5/127 11/8 0/1 1/25 40/29 1/25 1/24 69/50 1/25 2/49 29/21 0/1 1/24 18/13 1/26 7/5 2/51 1/25 24/17 1/25 3/74 41/29 3/74 2/49 17/12 0/1 1/25 44/31 1/25 3/74 27/19 2/49 3/73 64/45 1/25 1/24 37/26 5/123 2/49 10/7 1/24 33/23 0/1 1/28 56/39 1/26 1/25 23/16 2/51 1/25 36/25 1/25 3/74 13/9 1/25 2/49 16/11 1/25 1/24 19/13 1/24 3/2 0/1 1/24 23/15 2/47 1/23 20/13 1/24 1/23 17/11 0/1 1/23 31/20 0/1 1/21 14/9 1/24 39/25 3/71 2/47 64/41 3/70 1/23 25/16 0/1 1/23 36/23 1/23 1/22 11/7 0/1 1/23 41/26 2/47 3/70 71/45 1/24 2/47 30/19 3/70 19/12 1/23 8/5 1/23 1/22 37/23 2/45 7/157 29/18 0/1 1/22 50/31 1/24 21/13 1/23 2/45 34/21 1/22 13/8 1/23 2/45 44/27 1/22 1/21 75/46 0/1 1/21 31/19 0/1 1/23 18/11 1/22 59/36 0/1 1/23 41/25 3/68 2/45 23/14 1/23 2/45 28/17 5/111 1/22 5/3 1/22 2/43 27/16 7/151 2/43 22/13 3/64 61/36 0/1 1/21 39/23 2/43 1/21 17/10 4/85 1/21 46/27 1/20 75/44 0/1 1/21 29/17 0/1 1/22 70/41 5/108 41/24 2/43 7/150 12/7 3/64 1/21 19/11 1/21 26/15 7/146 33/19 5/104 4/83 73/42 4/83 3/62 113/65 1/21 2/41 40/23 1/21 3/62 7/4 1/21 2/41 37/21 5/103 2/41 30/17 7/144 23/13 2/41 11/225 39/22 2/41 7/143 55/31 2/41 3/61 16/9 3/61 1/20 25/14 3/61 4/81 34/19 1/20 77/43 3/61 4/81 43/24 4/81 1/20 9/5 6/121 1/20 20/11 1/20 7/139 31/17 5/99 4/79 73/40 1/20 4/79 115/63 3/59 2/39 42/23 1/20 11/6 4/79 3/59 24/13 3/59 5/98 37/20 7/137 2/39 13/7 2/39 9/175 28/15 5/97 3/58 15/8 7/135 4/77 17/9 8/153 1/19 19/10 1/19 2/1 1/18 19/9 1/17 17/8 1/17 8/135 15/7 4/67 7/117 13/6 9/149 2/33 37/17 2/33 7/115 61/28 7/115 12/197 24/11 5/82 3/49 11/5 3/49 4/65 42/19 1/16 73/33 4/65 1/16 31/14 4/65 5/81 20/9 7/113 1/16 29/13 20/321 1/16 38/17 1/16 9/4 1/16 6/95 25/11 4/63 3/47 16/7 1/16 3/47 39/17 7/109 2/31 23/10 11/171 2/31 76/33 2/31 53/23 2/31 25/387 30/13 7/108 37/16 2/31 5/77 7/3 2/31 1/15 40/17 3/46 1/15 33/14 4/61 5/76 59/25 4/61 1/15 26/11 7/106 19/8 1/15 12/5 1/15 3/44 53/22 5/73 2/29 41/17 7/102 2/29 152/63 2/29 111/46 2/29 17/246 70/29 5/72 29/12 0/1 1/14 75/31 0/1 1/15 46/19 1/16 17/7 1/15 4/59 56/23 1/15 3/44 95/39 3/44 39/16 1/15 2/29 100/41 3/43 1/14 61/25 0/1 1/15 22/9 3/44 49/20 13/189 2/29 76/31 2/29 27/11 2/29 7/101 32/13 3/43 1/14 5/2 2/29 1/14 38/15 1/14 33/13 1/14 12/167 28/11 1/14 5/69 51/20 13/179 4/55 23/9 2/27 1/13 64/25 1/14 3/41 41/16 2/27 3/40 18/7 1/14 13/5 2/27 1/13 47/18 1/14 4/55 81/31 1/14 2/27 115/44 2/27 1/13 149/57 0/1 1/14 34/13 1/14 55/21 3/41 2/27 76/29 2/27 21/8 2/27 1/13 50/19 1/12 79/30 0/1 1/14 29/11 0/1 1/14 8/3 1/14 1/13 19/7 1/13 30/11 3/38 71/26 2/25 1/12 112/41 1/13 3/38 265/97 1/13 2/25 418/153 1/13 153/56 1/13 4/51 41/15 3/38 2/25 52/19 1/13 3/38 11/4 0/1 1/13 36/13 1/14 1/13 25/9 0/1 1/13 114/41 1/13 89/32 1/13 6/77 64/23 1/13 3/38 39/14 2/25 3/37 14/5 1/12 45/16 0/1 1/9 76/27 0/1 31/11 0/1 1/15 48/17 1/14 1/13 17/6 0/1 1/13 37/13 1/13 2/25 57/20 1/12 20/7 1/13 1/12 3/1 0/1 1/12 22/7 1/12 19/6 1/12 16/5 1/12 1/11 13/4 2/23 1/11 36/11 3/34 1/11 95/29 1/11 59/18 1/11 4/43 23/7 1/11 2/21 56/17 1/11 1/10 33/10 0/1 1/8 76/23 0/1 43/13 0/1 1/16 10/3 1/12 57/17 1/12 47/14 1/12 4/47 37/11 2/23 5/57 64/19 1/12 1/11 91/27 0/1 1/13 27/8 3/35 2/23 71/21 2/23 3/34 115/34 2/23 1/11 44/13 3/34 1/11 61/18 4/45 9/101 17/5 0/1 1/11 75/22 0/1 1/13 133/39 1/12 58/17 1/12 41/12 2/23 3/34 65/19 0/1 1/11 24/7 3/34 1/11 31/9 8/89 1/11 38/11 1/11 7/2 1/11 2/21 39/11 2/21 3/31 71/20 2/21 1/10 32/9 3/31 1/10 57/16 1/10 25/7 0/1 1/11 18/5 1/10 47/13 0/1 1/8 76/21 0/1 29/8 0/1 1/12 40/11 1/12 1/11 11/3 0/1 1/11 48/13 1/11 3/32 85/23 3/32 2/21 37/10 5/53 2/21 63/17 21/221 2/21 152/41 2/21 89/24 2/21 31/325 26/7 5/52 67/18 2/21 1/10 41/11 2/21 1/10 56/15 3/31 1/10 15/4 3/31 4/41 64/17 5/51 1/10 49/13 6/61 7/71 34/9 1/10 19/5 1/10 4/1 1/10 1/9 21/5 10/91 1/9 38/9 1/9 17/4 1/9 8/71 30/7 3/26 43/10 5/44 4/35 13/3 5/43 2/17 48/11 1/9 1/8 83/19 2/17 3/25 35/8 2/17 1/8 57/13 1/8 22/5 1/8 31/7 0/1 1/9 40/9 1/9 1/8 9/2 2/17 1/8 41/9 2/17 1/8 114/25 1/8 73/16 0/1 1/8 32/7 1/9 1/8 55/12 2/19 1/9 23/5 5/43 2/17 37/8 1/9 2/17 14/3 1/8 19/4 1/8 24/5 1/8 5/39 53/11 3/23 2/15 29/6 0/1 1/8 5/1 1/8 2/15 26/5 1/6 21/4 2/15 1/7 58/11 1/8 95/18 1/8 37/7 3/23 2/15 16/3 3/22 1/7 27/5 10/71 1/7 38/7 1/7 11/2 1/7 4/27 39/7 2/13 3/19 67/12 2/13 1/6 95/17 1/6 28/5 1/7 1/6 73/13 0/1 1/6 45/8 0/1 1/5 17/3 0/1 1/7 57/10 1/7 40/7 1/7 7/48 23/4 1/7 2/13 52/9 7/47 3/20 29/5 3/20 8/53 6/1 1/6 19/3 1/6 32/5 1/6 5/29 13/2 3/17 2/11 33/5 0/1 1/4 20/3 1/7 1/6 7/1 2/11 1/5 22/3 1/6 15/2 4/21 1/5 38/5 1/5 23/3 1/5 6/29 8/1 1/5 1/4 9/1 2/9 1/4 28/3 3/13 1/4 19/2 1/4 10/1 1/4 1/0 0/1 1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(37,304,-14,-115) (-8/1,1/0) -> (-8/3,-37/14) Hyperbolic Matrix(39,304,-34,-265) (-8/1,-15/2) -> (-23/20,-8/7) Hyperbolic Matrix(115,836,-26,-189) (-15/2,-7/1) -> (-31/7,-53/12) Hyperbolic Matrix(113,760,62,417) (-7/1,-20/3) -> (20/11,31/17) Hyperbolic Matrix(379,2508,264,1747) (-20/3,-33/5) -> (33/23,56/39) Hyperbolic Matrix(151,988,116,759) (-33/5,-13/2) -> (13/10,43/33) Hyperbolic Matrix(189,1216,-136,-875) (-13/2,-19/3) -> (-57/41,-25/18) Hyperbolic Matrix(37,228,6,37) (-19/3,-6/1) -> (6/1,19/3) Hyperbolic Matrix(379,2204,222,1291) (-6/1,-29/5) -> (29/17,70/41) Hyperbolic Matrix(381,2204,-302,-1747) (-29/5,-23/4) -> (-53/42,-29/23) Hyperbolic Matrix(305,1748,-212,-1215) (-23/4,-17/3) -> (-59/41,-23/16) Hyperbolic Matrix(229,1292,-148,-835) (-17/3,-28/5) -> (-48/31,-17/11) Hyperbolic Matrix(151,836,-110,-609) (-28/5,-11/2) -> (-11/8,-48/35) Hyperbolic Matrix(113,608,-92,-495) (-11/2,-16/3) -> (-16/13,-27/22) Hyperbolic Matrix(229,1216,-100,-531) (-16/3,-21/4) -> (-55/24,-16/7) Hyperbolic Matrix(191,988,-110,-569) (-21/4,-5/1) -> (-33/19,-59/34) Hyperbolic Matrix(533,2584,204,989) (-5/1,-29/6) -> (47/18,81/31) Hyperbolic Matrix(457,2204,-378,-1823) (-29/6,-24/5) -> (-52/43,-29/24) Hyperbolic Matrix(191,912,40,191) (-24/5,-19/4) -> (19/4,24/5) Hyperbolic Matrix(113,532,24,113) (-19/4,-14/3) -> (14/3,19/4) Hyperbolic Matrix(229,1064,82,381) (-14/3,-37/8) -> (39/14,14/5) Hyperbolic Matrix(379,1748,214,987) (-37/8,-23/5) -> (23/13,39/22) Hyperbolic Matrix(647,2964,-456,-2089) (-23/5,-32/7) -> (-44/31,-61/43) Hyperbolic Matrix(799,3648,-624,-2849) (-32/7,-41/9) -> (-73/57,-32/25) Hyperbolic Matrix(685,3116,184,837) (-41/9,-9/2) -> (67/18,41/11) Hyperbolic Matrix(341,1520,-94,-419) (-9/2,-31/7) -> (-69/19,-29/8) Hyperbolic Matrix(569,2508,336,1481) (-53/12,-22/5) -> (22/13,61/36) Hyperbolic Matrix(191,836,-130,-569) (-22/5,-35/8) -> (-3/2,-22/15) Hyperbolic Matrix(1027,4484,-844,-3685) (-35/8,-48/11) -> (-28/23,-73/60) Hyperbolic Matrix(227,988,122,531) (-48/11,-13/3) -> (13/7,28/15) Hyperbolic Matrix(229,988,194,837) (-13/3,-43/10) -> (33/28,13/11) Hyperbolic Matrix(797,3420,292,1253) (-43/10,-30/7) -> (30/11,71/26) Hyperbolic Matrix(303,1292,178,759) (-30/7,-17/4) -> (17/10,46/27) Hyperbolic Matrix(37,152,-28,-115) (-17/4,-4/1) -> (-4/3,-21/16) Hyperbolic Matrix(39,152,10,39) (-4/1,-19/5) -> (19/5,4/1) Hyperbolic Matrix(341,1292,90,341) (-19/5,-34/9) -> (34/9,19/5) Hyperbolic Matrix(645,2432,292,1101) (-34/9,-49/13) -> (11/5,42/19) Hyperbolic Matrix(1291,4864,-908,-3421) (-49/13,-15/4) -> (-91/64,-27/19) Hyperbolic Matrix(265,988,-92,-343) (-15/4,-41/11) -> (-3/1,-23/8) Hyperbolic Matrix(1103,4104,-684,-2545) (-41/11,-26/7) -> (-50/31,-79/49) Hyperbolic Matrix(1065,3952,-778,-2887) (-26/7,-63/17) -> (-89/65,-26/19) Hyperbolic Matrix(759,2812,410,1519) (-63/17,-37/10) -> (37/20,13/7) Hyperbolic Matrix(227,836,-186,-685) (-37/10,-11/3) -> (-11/9,-39/32) Hyperbolic Matrix(229,836,146,533) (-11/3,-40/11) -> (36/23,11/7) Hyperbolic Matrix(837,3040,356,1293) (-40/11,-69/19) -> (7/3,40/17) Hyperbolic Matrix(379,1368,-274,-989) (-29/8,-18/5) -> (-18/13,-47/34) Hyperbolic Matrix(191,684,-74,-265) (-18/5,-7/2) -> (-31/12,-18/7) Hyperbolic Matrix(265,912,-188,-647) (-7/2,-24/7) -> (-24/17,-31/22) Hyperbolic Matrix(911,3116,-578,-1977) (-24/7,-41/12) -> (-41/26,-52/33) Hyperbolic Matrix(913,3116,-356,-1215) (-41/12,-17/5) -> (-59/23,-41/16) Hyperbolic Matrix(875,2964,-684,-2317) (-17/5,-44/13) -> (-32/25,-55/43) Hyperbolic Matrix(607,2052,-360,-1217) (-44/13,-27/8) -> (-27/16,-32/19) Hyperbolic Matrix(1443,4864,-1060,-3573) (-27/8,-64/19) -> (-64/47,-49/36) Hyperbolic Matrix(1445,4864,926,3117) (-64/19,-37/11) -> (39/25,64/41) Hyperbolic Matrix(113,380,-102,-343) (-37/11,-10/3) -> (-10/9,-1/1) Hyperbolic Matrix(229,760,-160,-531) (-10/3,-33/10) -> (-43/30,-10/7) Hyperbolic Matrix(761,2508,646,2129) (-33/10,-56/17) -> (20/17,33/28) Hyperbolic Matrix(531,1748,346,1139) (-56/17,-23/7) -> (23/15,20/13) Hyperbolic Matrix(533,1748,-440,-1443) (-23/7,-36/11) -> (-40/33,-23/19) Hyperbolic Matrix(419,1368,268,875) (-36/11,-13/4) -> (25/16,36/23) Hyperbolic Matrix(189,608,106,341) (-13/4,-16/5) -> (16/9,25/14) Hyperbolic Matrix(191,608,60,191) (-16/5,-19/6) -> (19/6,16/5) Hyperbolic Matrix(267,836,-206,-645) (-19/6,-3/1) -> (-35/27,-57/44) Hyperbolic Matrix(609,1748,424,1217) (-23/8,-20/7) -> (56/39,23/16) Hyperbolic Matrix(455,1292,-268,-761) (-20/7,-17/6) -> (-17/10,-56/33) Hyperbolic Matrix(457,1292,-376,-1063) (-17/6,-31/11) -> (-45/37,-17/14) Hyperbolic Matrix(379,1064,-244,-685) (-31/11,-14/5) -> (-14/9,-45/29) Hyperbolic Matrix(381,1064,82,229) (-14/5,-39/14) -> (37/8,14/3) Hyperbolic Matrix(1747,4864,1228,3419) (-39/14,-64/23) -> (64/45,37/26) Hyperbolic Matrix(2623,7296,-1680,-4673) (-64/23,-25/9) -> (-89/57,-64/41) Hyperbolic Matrix(493,1368,342,949) (-25/9,-36/13) -> (36/25,13/9) Hyperbolic Matrix(303,836,220,607) (-36/13,-11/4) -> (11/8,40/29) Hyperbolic Matrix(1139,3116,-806,-2205) (-11/4,-41/15) -> (-41/29,-65/46) Hyperbolic Matrix(2393,6536,-1016,-2775) (-41/15,-71/26) -> (-33/14,-73/31) Hyperbolic Matrix(1253,3420,292,797) (-71/26,-30/11) -> (30/7,43/10) Hyperbolic Matrix(419,1140,154,419) (-30/11,-19/7) -> (19/7,30/11) Hyperbolic Matrix(113,304,42,113) (-19/7,-8/3) -> (8/3,19/7) Hyperbolic Matrix(1065,2812,-748,-1975) (-37/14,-29/11) -> (-47/33,-37/26) Hyperbolic Matrix(1559,4104,-1140,-3001) (-29/11,-50/19) -> (-26/19,-67/49) Hyperbolic Matrix(1329,3496,-766,-2015) (-50/19,-21/8) -> (-59/34,-26/15) Hyperbolic Matrix(987,2584,-610,-1597) (-21/8,-34/13) -> (-34/21,-55/34) Hyperbolic Matrix(495,1292,-218,-569) (-34/13,-13/5) -> (-25/11,-34/15) Hyperbolic Matrix(381,988,-322,-835) (-13/5,-44/17) -> (-32/27,-13/11) Hyperbolic Matrix(3231,8360,-2276,-5889) (-44/17,-75/29) -> (-115/81,-44/31) Hyperbolic Matrix(647,1672,368,951) (-75/29,-31/12) -> (7/4,37/21) Hyperbolic Matrix(1481,3800,-1200,-3079) (-18/7,-59/23) -> (-21/17,-58/47) Hyperbolic Matrix(1217,3116,-712,-1823) (-41/16,-23/9) -> (-53/31,-41/24) Hyperbolic Matrix(417,1064,-194,-495) (-23/9,-28/11) -> (-28/13,-15/7) Hyperbolic Matrix(419,1064,-254,-645) (-28/11,-5/2) -> (-33/20,-28/17) Hyperbolic Matrix(835,2052,-588,-1445) (-5/2,-27/11) -> (-27/19,-71/50) Hyperbolic Matrix(683,1672,-404,-989) (-27/11,-22/9) -> (-22/13,-49/29) Hyperbolic Matrix(1027,2508,794,1939) (-22/9,-61/25) -> (53/41,22/17) Hyperbolic Matrix(1901,4636,-1028,-2507) (-61/25,-39/16) -> (-37/20,-61/33) Hyperbolic Matrix(531,1292,-344,-837) (-39/16,-17/7) -> (-17/11,-37/24) Hyperbolic Matrix(533,1292,408,989) (-17/7,-46/19) -> (30/23,17/13) Hyperbolic Matrix(1633,3952,926,2241) (-46/19,-75/31) -> (37/21,30/17) Hyperbolic Matrix(3079,7448,-2246,-5433) (-75/31,-29/12) -> (-85/62,-37/27) Hyperbolic Matrix(913,2204,756,1825) (-29/12,-70/29) -> (6/5,29/24) Hyperbolic Matrix(4409,10640,-2582,-6231) (-70/29,-41/17) -> (-111/65,-70/41) Hyperbolic Matrix(1293,3116,-788,-1899) (-41/17,-12/5) -> (-64/39,-41/25) Hyperbolic Matrix(191,456,80,191) (-12/5,-19/8) -> (19/8,12/5) Hyperbolic Matrix(417,988,176,417) (-19/8,-26/11) -> (26/11,19/8) Hyperbolic Matrix(419,988,-338,-797) (-26/11,-33/14) -> (-5/4,-26/21) Hyperbolic Matrix(10717,25232,4100,9653) (-73/31,-113/48) -> (115/44,149/57) Hyperbolic Matrix(9881,23256,-6264,-14743) (-113/48,-40/17) -> (-112/71,-265/168) Hyperbolic Matrix(647,1520,146,343) (-40/17,-7/3) -> (31/7,40/9) Hyperbolic Matrix(721,1672,442,1025) (-7/3,-37/16) -> (75/46,31/19) Hyperbolic Matrix(1711,3952,1004,2319) (-37/16,-30/13) -> (46/27,75/44) Hyperbolic Matrix(989,2280,-560,-1291) (-30/13,-23/10) -> (-53/30,-30/17) Hyperbolic Matrix(761,1748,596,1369) (-23/10,-39/17) -> (37/29,23/18) Hyperbolic Matrix(2089,4788,-1476,-3383) (-39/17,-55/24) -> (-17/12,-75/53) Hyperbolic Matrix(267,608,184,419) (-16/7,-25/11) -> (13/9,16/11) Hyperbolic Matrix(3153,7144,-1426,-3231) (-34/15,-77/34) -> (-115/52,-42/19) Hyperbolic Matrix(4599,10412,1360,3079) (-77/34,-43/19) -> (71/21,115/34) Hyperbolic Matrix(571,1292,118,267) (-43/19,-9/4) -> (29/6,5/1) Hyperbolic Matrix(341,760,-188,-419) (-9/4,-20/9) -> (-20/11,-29/16) Hyperbolic Matrix(343,760,292,647) (-20/9,-31/14) -> (7/6,20/17) Hyperbolic Matrix(2507,5548,446,987) (-31/14,-73/33) -> (73/13,45/8) Hyperbolic Matrix(7181,15884,2628,5813) (-73/33,-115/52) -> (153/56,41/15) Hyperbolic Matrix(1101,2432,292,645) (-42/19,-11/5) -> (49/13,34/9) Hyperbolic Matrix(381,836,-242,-531) (-11/5,-24/11) -> (-52/33,-11/7) Hyperbolic Matrix(2129,4636,-1256,-2735) (-24/11,-37/17) -> (-39/23,-100/59) Hyperbolic Matrix(1293,2812,944,2053) (-37/17,-13/6) -> (63/46,37/27) Hyperbolic Matrix(457,988,352,761) (-13/6,-28/13) -> (48/37,13/10) Hyperbolic Matrix(569,1216,124,265) (-15/7,-17/8) -> (55/12,23/5) Hyperbolic Matrix(1291,2736,394,835) (-17/8,-19/9) -> (95/29,59/18) Hyperbolic Matrix(37,76,18,37) (-19/9,-2/1) -> (2/1,19/9) Hyperbolic Matrix(39,76,20,39) (-2/1,-19/10) -> (19/10,2/1) Hyperbolic Matrix(683,1292,120,227) (-19/10,-17/9) -> (17/3,57/10) Hyperbolic Matrix(685,1292,202,381) (-17/9,-15/8) -> (61/18,17/5) Hyperbolic Matrix(569,1064,-346,-647) (-15/8,-13/7) -> (-51/31,-23/14) Hyperbolic Matrix(1519,2812,410,759) (-13/7,-37/20) -> (37/10,63/17) Hyperbolic Matrix(1481,2736,308,569) (-61/33,-24/13) -> (24/5,53/11) Hyperbolic Matrix(989,1824,-700,-1291) (-24/13,-11/6) -> (-65/46,-24/17) Hyperbolic Matrix(1331,2432,978,1787) (-11/6,-42/23) -> (34/25,49/36) Hyperbolic Matrix(4787,8740,-2956,-5397) (-42/23,-73/40) -> (-149/92,-34/21) Hyperbolic Matrix(3915,7144,896,1635) (-73/40,-31/17) -> (83/19,35/8) Hyperbolic Matrix(417,760,62,113) (-31/17,-20/11) -> (20/3,7/1) Hyperbolic Matrix(797,1444,356,645) (-29/16,-38/21) -> (38/17,9/4) Hyperbolic Matrix(799,1444,358,647) (-38/21,-9/5) -> (29/13,38/17) Hyperbolic Matrix(723,1292,-446,-797) (-9/5,-25/14) -> (-13/8,-47/29) Hyperbolic Matrix(341,608,106,189) (-25/14,-16/9) -> (16/5,13/4) Hyperbolic Matrix(685,1216,-556,-987) (-16/9,-39/22) -> (-37/30,-16/13) Hyperbolic Matrix(987,1748,214,379) (-39/22,-23/13) -> (23/5,37/8) Hyperbolic Matrix(3267,5776,1418,2507) (-23/13,-76/43) -> (76/33,53/23) Hyperbolic Matrix(3269,5776,1420,2509) (-76/43,-53/30) -> (23/10,76/33) Hyperbolic Matrix(2241,3952,926,1633) (-30/17,-37/21) -> (75/31,46/19) Hyperbolic Matrix(303,532,86,151) (-37/21,-7/4) -> (7/2,39/11) Hyperbolic Matrix(1747,3040,1266,2203) (-7/4,-40/23) -> (40/29,69/50) Hyperbolic Matrix(3761,6536,-2384,-4143) (-40/23,-33/19) -> (-71/45,-112/71) Hyperbolic Matrix(571,988,330,571) (-26/15,-19/11) -> (19/11,26/15) Hyperbolic Matrix(265,456,154,265) (-19/11,-12/7) -> (12/7,19/11) Hyperbolic Matrix(2089,3572,-1534,-2623) (-12/7,-53/31) -> (-15/11,-64/47) Hyperbolic Matrix(13527,23104,5606,9575) (-41/24,-152/89) -> (152/63,111/46) Hyperbolic Matrix(13529,23104,5608,9577) (-152/89,-111/65) -> (41/17,152/63) Hyperbolic Matrix(1291,2204,222,379) (-70/41,-29/17) -> (29/5,6/1) Hyperbolic Matrix(3611,6156,-2964,-5053) (-29/17,-75/44) -> (-39/32,-67/55) Hyperbolic Matrix(2319,3952,1004,1711) (-75/44,-46/27) -> (30/13,37/16) Hyperbolic Matrix(759,1292,178,303) (-46/27,-17/10) -> (17/4,30/7) Hyperbolic Matrix(3001,5092,1052,1785) (-56/33,-95/56) -> (57/20,20/7) Hyperbolic Matrix(7259,12312,-5130,-8701) (-95/56,-39/23) -> (-75/53,-133/94) Hyperbolic Matrix(3229,5472,560,949) (-100/59,-61/36) -> (23/4,52/9) Hyperbolic Matrix(987,1672,134,227) (-61/36,-22/13) -> (22/3,15/2) Hyperbolic Matrix(3419,5776,1394,2355) (-49/29,-76/45) -> (76/31,27/11) Hyperbolic Matrix(3421,5776,1396,2357) (-76/45,-27/16) -> (49/20,76/31) Hyperbolic Matrix(1445,2432,-1038,-1747) (-32/19,-5/3) -> (-71/51,-32/23) Hyperbolic Matrix(873,1444,344,569) (-5/3,-38/23) -> (38/15,33/13) Hyperbolic Matrix(875,1444,346,571) (-38/23,-33/20) -> (5/2,38/15) Hyperbolic Matrix(1709,2812,392,645) (-28/17,-51/31) -> (13/3,48/11) Hyperbolic Matrix(4445,7296,-3126,-5131) (-23/14,-64/39) -> (-64/45,-91/64) Hyperbolic Matrix(1901,3116,-1344,-2203) (-41/25,-18/11) -> (-58/41,-41/29) Hyperbolic Matrix(419,684,-302,-493) (-18/11,-13/8) -> (-25/18,-18/13) Hyperbolic Matrix(1595,2584,1266,2051) (-47/29,-81/50) -> (5/4,29/23) Hyperbolic Matrix(6991,11324,1970,3191) (-81/50,-115/71) -> (39/11,71/20) Hyperbolic Matrix(15579,25232,8962,14515) (-115/71,-149/92) -> (73/42,113/65) Hyperbolic Matrix(3571,5776,1362,2203) (-55/34,-76/47) -> (76/29,21/8) Hyperbolic Matrix(3573,5776,1364,2205) (-76/47,-21/13) -> (55/21,76/29) Hyperbolic Matrix(989,1596,-800,-1291) (-21/13,-50/31) -> (-26/21,-21/17) Hyperbolic Matrix(1179,1900,260,419) (-79/49,-29/18) -> (9/2,41/9) Hyperbolic Matrix(189,304,-166,-267) (-29/18,-8/5) -> (-8/7,-9/8) Hyperbolic Matrix(191,304,120,191) (-8/5,-19/12) -> (19/12,8/5) Hyperbolic Matrix(721,1140,456,721) (-19/12,-30/19) -> (30/19,19/12) Hyperbolic Matrix(2167,3420,1662,2623) (-30/19,-71/45) -> (43/33,30/23) Hyperbolic Matrix(110769,174724,40544,63953) (-265/168,-418/265) -> (418/153,153/56) Hyperbolic Matrix(110771,174724,40546,63955) (-418/265,-153/97) -> (265/97,418/153) Hyperbolic Matrix(10071,15884,5518,8703) (-153/97,-41/26) -> (73/40,115/63) Hyperbolic Matrix(533,836,146,229) (-11/7,-36/23) -> (40/11,11/3) Hyperbolic Matrix(875,1368,268,419) (-36/23,-25/16) -> (13/4,36/11) Hyperbolic Matrix(8321,12996,2992,4673) (-25/16,-114/73) -> (114/41,89/32) Hyperbolic Matrix(8323,12996,2994,4675) (-114/73,-89/57) -> (25/9,114/41) Hyperbolic Matrix(3117,4864,926,1445) (-64/41,-39/25) -> (37/11,64/19) Hyperbolic Matrix(683,1064,536,835) (-39/25,-14/9) -> (14/11,37/29) Hyperbolic Matrix(3723,5776,1322,2051) (-45/29,-76/49) -> (76/27,31/11) Hyperbolic Matrix(3725,5776,1324,2053) (-76/49,-31/20) -> (45/16,76/27) Hyperbolic Matrix(3533,5472,-2724,-4219) (-31/20,-48/31) -> (-48/37,-83/64) Hyperbolic Matrix(3649,5624,-2958,-4559) (-37/24,-57/37) -> (-95/77,-37/30) Hyperbolic Matrix(3307,5092,1358,2091) (-57/37,-20/13) -> (56/23,95/39) Hyperbolic Matrix(645,988,-472,-723) (-20/13,-3/2) -> (-41/30,-56/41) Hyperbolic Matrix(1141,1672,260,381) (-22/15,-19/13) -> (57/13,22/5) Hyperbolic Matrix(417,608,286,417) (-19/13,-16/11) -> (16/11,19/13) Hyperbolic Matrix(419,608,184,267) (-16/11,-13/9) -> (25/11,16/7) Hyperbolic Matrix(949,1368,342,493) (-13/9,-36/25) -> (36/13,25/9) Hyperbolic Matrix(4065,5852,712,1025) (-36/25,-95/66) -> (57/10,40/7) Hyperbolic Matrix(1901,2736,1004,1445) (-95/66,-59/41) -> (17/9,19/10) Hyperbolic Matrix(1481,2128,396,569) (-23/16,-56/39) -> (56/15,15/4) Hyperbolic Matrix(1747,2508,264,379) (-56/39,-33/23) -> (33/5,20/3) Hyperbolic Matrix(4027,5776,1218,1747) (-33/23,-76/53) -> (76/23,43/13) Hyperbolic Matrix(4029,5776,1220,1749) (-76/53,-43/30) -> (33/10,76/23) Hyperbolic Matrix(533,760,54,77) (-10/7,-57/40) -> (19/2,10/1) Hyperbolic Matrix(5815,8284,-4774,-6801) (-57/40,-47/33) -> (-67/55,-95/78) Hyperbolic Matrix(3419,4864,1228,1747) (-37/26,-64/45) -> (64/23,39/14) Hyperbolic Matrix(7333,10412,4094,5813) (-71/50,-115/81) -> (77/43,43/24) Hyperbolic Matrix(911,1292,428,607) (-61/43,-17/12) -> (17/8,15/7) Hyperbolic Matrix(9347,13224,1772,2507) (-133/94,-58/41) -> (58/11,95/18) Hyperbolic Matrix(1025,1444,296,417) (-31/22,-38/27) -> (38/11,7/2) Hyperbolic Matrix(1027,1444,298,419) (-38/27,-7/5) -> (31/9,38/11) Hyperbolic Matrix(381,532,164,229) (-7/5,-39/28) -> (37/16,7/3) Hyperbolic Matrix(8133,11324,3112,4333) (-39/28,-71/51) -> (81/31,115/44) Hyperbolic Matrix(1749,2432,274,381) (-32/23,-57/41) -> (19/3,32/5) Hyperbolic Matrix(4179,5776,1154,1595) (-47/34,-76/55) -> (76/21,29/8) Hyperbolic Matrix(4181,5776,1156,1597) (-76/55,-29/21) -> (47/13,76/21) Hyperbolic Matrix(1101,1520,-854,-1179) (-29/21,-40/29) -> (-40/31,-9/7) Hyperbolic Matrix(607,836,220,303) (-40/29,-11/8) -> (11/4,36/13) Hyperbolic Matrix(2051,2812,-1830,-2509) (-48/35,-85/62) -> (-9/8,-28/25) Hyperbolic Matrix(2053,2812,944,1293) (-37/27,-63/46) -> (13/6,37/17) Hyperbolic Matrix(16871,23104,4550,6231) (-63/46,-152/111) -> (152/41,89/24) Hyperbolic Matrix(16873,23104,4552,6233) (-152/111,-89/65) -> (63/17,152/41) Hyperbolic Matrix(2279,3116,1778,2431) (-67/49,-41/30) -> (41/32,9/7) Hyperbolic Matrix(1559,2128,474,647) (-56/41,-15/11) -> (23/7,56/17) Hyperbolic Matrix(1787,2432,978,1331) (-49/36,-34/25) -> (42/23,11/6) Hyperbolic Matrix(951,1292,700,951) (-34/25,-19/14) -> (19/14,34/25) Hyperbolic Matrix(113,152,84,113) (-19/14,-4/3) -> (4/3,19/14) Hyperbolic Matrix(1101,1444,260,341) (-21/16,-38/29) -> (38/9,17/4) Hyperbolic Matrix(1103,1444,262,343) (-38/29,-17/13) -> (21/5,38/9) Hyperbolic Matrix(989,1292,408,533) (-17/13,-30/23) -> (46/19,17/7) Hyperbolic Matrix(2623,3420,1662,2167) (-30/23,-43/33) -> (71/45,30/19) Hyperbolic Matrix(759,988,116,151) (-43/33,-13/10) -> (13/2,33/5) Hyperbolic Matrix(2167,2812,850,1103) (-13/10,-48/37) -> (28/11,51/20) Hyperbolic Matrix(5509,7144,2490,3229) (-83/64,-35/27) -> (73/33,31/14) Hyperbolic Matrix(1291,1672,410,531) (-57/44,-22/17) -> (22/7,19/6) Hyperbolic Matrix(647,836,-558,-721) (-22/17,-31/24) -> (-7/6,-22/19) Hyperbolic Matrix(1177,1520,676,873) (-31/24,-40/31) -> (40/23,7/4) Hyperbolic Matrix(1481,1900,562,721) (-9/7,-41/32) -> (79/30,29/11) Hyperbolic Matrix(10145,12996,2224,2849) (-41/32,-114/89) -> (114/25,73/16) Hyperbolic Matrix(10147,12996,2226,2851) (-114/89,-73/57) -> (41/9,114/25) Hyperbolic Matrix(951,1216,506,647) (-55/43,-23/18) -> (15/8,17/9) Hyperbolic Matrix(1369,1748,596,761) (-23/18,-37/29) -> (39/17,23/10) Hyperbolic Matrix(835,1064,536,683) (-37/29,-14/11) -> (14/9,39/25) Hyperbolic Matrix(419,532,330,419) (-14/11,-19/15) -> (19/15,14/11) Hyperbolic Matrix(721,912,570,721) (-19/15,-24/19) -> (24/19,19/15) Hyperbolic Matrix(2167,2736,994,1255) (-24/19,-53/42) -> (61/28,24/11) Hyperbolic Matrix(1025,1292,572,721) (-29/23,-5/4) -> (43/24,9/5) Hyperbolic Matrix(10717,13224,3142,3877) (-58/47,-95/77) -> (133/39,58/17) Hyperbolic Matrix(1177,1444,216,265) (-27/22,-38/31) -> (38/7,11/2) Hyperbolic Matrix(1179,1444,218,267) (-38/31,-11/9) -> (27/5,38/7) Hyperbolic Matrix(2621,3192,280,341) (-95/78,-28/23) -> (28/3,19/2) Hyperbolic Matrix(4561,5548,2500,3041) (-73/60,-45/37) -> (31/17,73/40) Hyperbolic Matrix(1065,1292,502,609) (-17/14,-57/47) -> (19/9,17/8) Hyperbolic Matrix(4827,5852,1474,1787) (-57/47,-40/33) -> (36/11,95/29) Hyperbolic Matrix(4523,5472,1854,2243) (-23/19,-52/43) -> (100/41,61/25) Hyperbolic Matrix(1825,2204,756,913) (-29/24,-6/5) -> (70/29,29/12) Hyperbolic Matrix(191,228,160,191) (-6/5,-19/16) -> (19/16,6/5) Hyperbolic Matrix(2051,2432,576,683) (-19/16,-32/27) -> (32/9,57/16) Hyperbolic Matrix(837,988,194,229) (-13/11,-33/28) -> (43/10,13/3) Hyperbolic Matrix(2129,2508,646,761) (-33/28,-20/17) -> (56/17,33/10) Hyperbolic Matrix(647,760,292,343) (-20/17,-7/6) -> (31/14,20/9) Hyperbolic Matrix(1445,1672,592,685) (-22/19,-15/13) -> (61/25,22/9) Hyperbolic Matrix(1253,1444,164,189) (-15/13,-38/33) -> (38/5,23/3) Hyperbolic Matrix(1255,1444,166,191) (-38/33,-23/20) -> (15/2,38/5) Hyperbolic Matrix(2851,3192,510,571) (-28/25,-19/17) -> (95/17,28/5) Hyperbolic Matrix(683,760,204,227) (-19/17,-10/9) -> (10/3,57/17) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(267,-304,166,-189) (1/1,8/7) -> (8/5,37/23) Hyperbolic Matrix(265,-304,34,-39) (8/7,15/13) -> (23/3,8/1) Hyperbolic Matrix(721,-836,558,-647) (15/13,7/6) -> (31/24,53/41) Hyperbolic Matrix(1027,-1216,288,-341) (13/11,19/16) -> (57/16,25/7) Hyperbolic Matrix(1823,-2204,378,-457) (29/24,23/19) -> (53/11,29/6) Hyperbolic Matrix(1443,-1748,440,-533) (23/19,17/14) -> (59/18,23/7) Hyperbolic Matrix(1063,-1292,376,-457) (17/14,28/23) -> (48/17,17/6) Hyperbolic Matrix(685,-836,186,-227) (28/23,11/9) -> (11/3,48/13) Hyperbolic Matrix(495,-608,92,-113) (11/9,16/13) -> (16/3,27/5) Hyperbolic Matrix(987,-1216,556,-685) (16/13,21/17) -> (55/31,16/9) Hyperbolic Matrix(797,-988,338,-419) (21/17,5/4) -> (33/14,59/25) Hyperbolic Matrix(1747,-2204,302,-381) (29/23,24/19) -> (52/9,29/5) Hyperbolic Matrix(2317,-2964,684,-875) (23/18,32/25) -> (44/13,61/18) Hyperbolic Matrix(2849,-3648,624,-799) (32/25,41/32) -> (73/16,32/7) Hyperbolic Matrix(1179,-1520,854,-1101) (9/7,31/24) -> (69/50,29/21) Hyperbolic Matrix(645,-836,206,-267) (22/17,35/27) -> (3/1,22/7) Hyperbolic Matrix(3457,-4484,616,-799) (35/27,48/37) -> (28/5,73/13) Hyperbolic Matrix(115,-152,28,-37) (17/13,4/3) -> (4/1,21/5) Hyperbolic Matrix(3573,-4864,1060,-1443) (49/36,15/11) -> (91/27,27/8) Hyperbolic Matrix(723,-988,472,-645) (15/11,41/30) -> (3/2,23/15) Hyperbolic Matrix(3001,-4104,1140,-1559) (41/30,26/19) -> (50/19,79/30) Hyperbolic Matrix(2887,-3952,778,-1065) (26/19,63/46) -> (89/24,26/7) Hyperbolic Matrix(609,-836,110,-151) (37/27,11/8) -> (11/2,39/7) Hyperbolic Matrix(989,-1368,274,-379) (29/21,18/13) -> (18/5,47/13) Hyperbolic Matrix(493,-684,302,-419) (18/13,7/5) -> (31/19,18/11) Hyperbolic Matrix(647,-912,188,-265) (7/5,24/17) -> (24/7,31/9) Hyperbolic Matrix(2205,-3116,806,-1139) (24/17,41/29) -> (41/15,52/19) Hyperbolic Matrix(2203,-3116,1344,-1901) (41/29,17/12) -> (59/36,41/25) Hyperbolic Matrix(2089,-2964,456,-647) (17/12,44/31) -> (32/7,55/12) Hyperbolic Matrix(1445,-2052,588,-835) (44/31,27/19) -> (27/11,32/13) Hyperbolic Matrix(3421,-4864,908,-1291) (27/19,64/45) -> (64/17,49/13) Hyperbolic Matrix(267,-380,26,-37) (37/26,10/7) -> (10/1,1/0) Hyperbolic Matrix(531,-760,160,-229) (10/7,33/23) -> (43/13,10/3) Hyperbolic Matrix(1215,-1748,212,-305) (23/16,36/25) -> (40/7,23/4) Hyperbolic Matrix(569,-836,130,-191) (19/13,3/2) -> (35/8,57/13) Hyperbolic Matrix(837,-1292,344,-531) (20/13,17/11) -> (17/7,56/23) Hyperbolic Matrix(835,-1292,148,-229) (17/11,31/20) -> (45/8,17/3) Hyperbolic Matrix(685,-1064,244,-379) (31/20,14/9) -> (14/5,45/16) Hyperbolic Matrix(4673,-7296,1680,-2623) (64/41,25/16) -> (89/32,64/23) Hyperbolic Matrix(1977,-3116,578,-911) (11/7,41/26) -> (41/12,65/19) Hyperbolic Matrix(4143,-6536,2384,-3761) (41/26,71/45) -> (33/19,73/42) Hyperbolic Matrix(1747,-2812,520,-837) (37/23,29/18) -> (47/14,37/11) Hyperbolic Matrix(2545,-4104,684,-1103) (29/18,50/31) -> (26/7,67/18) Hyperbolic Matrix(2167,-3496,918,-1481) (50/31,21/13) -> (59/25,26/11) Hyperbolic Matrix(1597,-2584,610,-987) (21/13,34/21) -> (34/13,55/21) Hyperbolic Matrix(797,-1292,446,-723) (34/21,13/8) -> (25/14,34/19) Hyperbolic Matrix(607,-988,94,-153) (13/8,44/27) -> (32/5,13/2) Hyperbolic Matrix(5129,-8360,1516,-2471) (44/27,75/46) -> (115/34,44/13) Hyperbolic Matrix(2319,-3800,440,-721) (18/11,59/36) -> (21/4,58/11) Hyperbolic Matrix(1899,-3116,788,-1293) (41/25,23/14) -> (53/22,41/17) Hyperbolic Matrix(647,-1064,346,-569) (23/14,28/17) -> (28/15,15/8) Hyperbolic Matrix(645,-1064,254,-419) (28/17,5/3) -> (33/13,28/11) Hyperbolic Matrix(1217,-2052,360,-607) (5/3,27/16) -> (27/8,71/21) Hyperbolic Matrix(989,-1672,404,-683) (27/16,22/13) -> (22/9,49/20) Hyperbolic Matrix(2735,-4636,1256,-2129) (61/36,39/23) -> (37/17,61/28) Hyperbolic Matrix(761,-1292,268,-455) (39/23,17/10) -> (17/6,37/13) Hyperbolic Matrix(4369,-7448,1182,-2015) (75/44,29/17) -> (85/23,37/10) Hyperbolic Matrix(6231,-10640,2582,-4409) (70/41,41/24) -> (111/46,70/29) Hyperbolic Matrix(1823,-3116,712,-1217) (41/24,12/7) -> (64/25,41/16) Hyperbolic Matrix(569,-988,110,-191) (26/15,33/19) -> (5/1,26/5) Hyperbolic Matrix(13375,-23256,4896,-8513) (113/65,40/23) -> (112/41,265/97) Hyperbolic Matrix(1291,-2280,560,-989) (30/17,23/13) -> (53/23,30/13) Hyperbolic Matrix(2699,-4788,792,-1405) (39/22,55/31) -> (17/5,75/22) Hyperbolic Matrix(3991,-7144,2186,-3913) (34/19,77/43) -> (115/63,42/23) Hyperbolic Matrix(419,-760,188,-341) (9/5,20/11) -> (20/9,29/13) Hyperbolic Matrix(455,-836,166,-305) (11/6,24/13) -> (52/19,11/4) Hyperbolic Matrix(2507,-4636,1028,-1901) (24/13,37/20) -> (39/16,100/41) Hyperbolic Matrix(495,-1064,194,-417) (15/7,13/6) -> (51/20,23/9) Hyperbolic Matrix(835,-1824,244,-533) (24/11,11/5) -> (65/19,24/7) Hyperbolic Matrix(3953,-8740,1512,-3343) (42/19,73/33) -> (149/57,34/13) Hyperbolic Matrix(569,-1292,218,-495) (9/4,25/11) -> (13/5,47/18) Hyperbolic Matrix(531,-1216,100,-229) (16/7,39/17) -> (37/7,16/3) Hyperbolic Matrix(2775,-6536,1016,-2393) (40/17,33/14) -> (71/26,112/41) Hyperbolic Matrix(1483,-3572,394,-949) (12/5,53/22) -> (15/4,64/17) Hyperbolic Matrix(2545,-6156,456,-1103) (29/12,75/31) -> (39/7,67/12) Hyperbolic Matrix(5053,-12312,1482,-3611) (95/39,39/16) -> (75/22,133/39) Hyperbolic Matrix(987,-2432,278,-685) (32/13,5/2) -> (71/20,32/9) Hyperbolic Matrix(2851,-7296,846,-2165) (23/9,64/25) -> (64/19,91/27) Hyperbolic Matrix(1215,-3116,356,-913) (41/16,18/7) -> (58/17,41/12) Hyperbolic Matrix(265,-684,74,-191) (18/7,13/5) -> (25/7,18/5) Hyperbolic Matrix(607,-1596,116,-305) (21/8,50/19) -> (26/5,21/4) Hyperbolic Matrix(115,-304,14,-37) (29/11,8/3) -> (8/1,9/1) Hyperbolic Matrix(1939,-5472,444,-1253) (31/11,48/17) -> (48/11,83/19) Hyperbolic Matrix(1975,-5624,374,-1065) (37/13,57/20) -> (95/18,37/7) Hyperbolic Matrix(343,-988,92,-265) (20/7,3/1) -> (41/11,56/15) Hyperbolic Matrix(2469,-8284,442,-1483) (57/17,47/14) -> (67/12,95/17) Hyperbolic Matrix(419,-1520,94,-341) (29/8,40/11) -> (40/9,9/2) Hyperbolic Matrix(761,-2812,82,-303) (48/13,85/23) -> (9/1,28/3) Hyperbolic Matrix(189,-836,26,-115) (22/5,31/7) -> (7/1,22/3) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(37,304,-14,-115) -> Matrix(5,2,-58,-23) Matrix(39,304,-34,-265) -> Matrix(5,2,-148,-59) Matrix(115,836,-26,-189) -> Matrix(7,2,-46,-13) Matrix(113,760,62,417) -> Matrix(23,6,456,119) Matrix(379,2508,264,1747) -> Matrix(1,0,30,1) Matrix(151,988,116,759) -> Matrix(13,4,354,109) Matrix(189,1216,-136,-875) -> Matrix(7,2,-172,-49) Matrix(37,228,6,37) -> Matrix(9,2,58,13) Matrix(379,2204,222,1291) -> Matrix(37,8,800,173) Matrix(381,2204,-302,-1747) -> Matrix(37,8,-976,-211) Matrix(305,1748,-212,-1215) -> Matrix(19,4,-442,-93) Matrix(229,1292,-148,-835) -> Matrix(1,0,-16,1) Matrix(151,836,-110,-609) -> Matrix(19,4,-442,-93) Matrix(113,608,-92,-495) -> Matrix(31,6,-832,-161) Matrix(229,1216,-100,-531) -> Matrix(43,8,-586,-109) Matrix(191,988,-110,-569) -> Matrix(31,6,-584,-113) Matrix(533,2584,204,989) -> Matrix(23,4,316,55) Matrix(457,2204,-378,-1823) -> Matrix(45,8,-1232,-219) Matrix(191,912,40,191) -> Matrix(59,10,466,79) Matrix(113,532,24,113) -> Matrix(37,6,302,49) Matrix(229,1064,82,381) -> Matrix(25,4,306,49) Matrix(379,1748,214,987) -> Matrix(77,12,1572,245) Matrix(647,2964,-456,-2089) -> Matrix(15,2,-338,-45) Matrix(799,3648,-624,-2849) -> Matrix(13,2,-332,-51) Matrix(685,3116,184,837) -> Matrix(25,4,256,41) Matrix(341,1520,-94,-419) -> Matrix(13,2,-124,-19) Matrix(569,2508,336,1481) -> Matrix(15,2,322,43) Matrix(191,836,-130,-569) -> Matrix(13,2,-280,-43) Matrix(1027,4484,-844,-3685) -> Matrix(13,2,-358,-55) Matrix(227,988,122,531) -> Matrix(51,8,988,155) Matrix(229,988,194,837) -> Matrix(27,4,830,123) Matrix(797,3420,292,1253) -> Matrix(41,6,526,77) Matrix(303,1292,178,759) -> Matrix(27,4,560,83) Matrix(37,152,-28,-115) -> Matrix(15,2,-368,-49) Matrix(39,152,10,39) -> Matrix(15,2,142,19) Matrix(341,1292,90,341) -> Matrix(113,14,1138,141) Matrix(645,2432,292,1101) -> Matrix(81,10,1304,161) Matrix(1291,4864,-908,-3421) -> Matrix(33,4,-718,-87) Matrix(265,988,-92,-343) -> Matrix(17,2,-162,-19) Matrix(1103,4104,-684,-2545) -> Matrix(17,2,-332,-39) Matrix(1065,3952,-778,-2887) -> Matrix(169,20,-3980,-471) Matrix(759,2812,410,1519) -> Matrix(205,24,4006,469) Matrix(227,836,-186,-685) -> Matrix(35,4,-954,-109) Matrix(229,836,146,533) -> Matrix(1,0,32,1) Matrix(837,3040,356,1293) -> Matrix(37,4,564,61) Matrix(379,1368,-274,-989) -> Matrix(1,0,-16,1) Matrix(191,684,-74,-265) -> Matrix(17,2,-196,-23) Matrix(265,912,-188,-647) -> Matrix(55,6,-1256,-137) Matrix(911,3116,-578,-1977) -> Matrix(1,0,-12,1) Matrix(913,3116,-356,-1215) -> Matrix(1,0,-2,1) Matrix(875,2964,-684,-2317) -> Matrix(19,2,-466,-49) Matrix(607,2052,-360,-1217) -> Matrix(75,8,-1472,-157) Matrix(1443,4864,-1060,-3573) -> Matrix(41,4,-974,-95) Matrix(1445,4864,926,3117) -> Matrix(37,4,860,93) Matrix(113,380,-102,-343) -> Matrix(19,2,-580,-61) Matrix(229,760,-160,-531) -> Matrix(1,0,-12,1) Matrix(761,2508,646,2129) -> Matrix(1,0,38,1) Matrix(531,1748,346,1139) -> Matrix(1,0,32,1) Matrix(533,1748,-440,-1443) -> Matrix(35,4,-954,-109) Matrix(419,1368,268,875) -> Matrix(19,2,446,47) Matrix(189,608,106,341) -> Matrix(21,2,430,41) Matrix(191,608,60,191) -> Matrix(19,2,218,23) Matrix(267,836,-206,-645) -> Matrix(21,2,-536,-51) Matrix(609,1748,424,1217) -> Matrix(1,0,36,1) Matrix(455,1292,-268,-761) -> Matrix(43,4,-828,-77) Matrix(457,1292,-376,-1063) -> Matrix(1,0,-16,1) Matrix(379,1064,-244,-685) -> Matrix(1,0,-12,1) Matrix(381,1064,82,229) -> Matrix(41,4,338,33) Matrix(1747,4864,1228,3419) -> Matrix(43,4,1064,99) Matrix(2623,7296,-1680,-4673) -> Matrix(65,6,-1376,-127) Matrix(493,1368,342,949) -> Matrix(21,2,514,49) Matrix(303,836,220,607) -> Matrix(1,0,36,1) Matrix(1139,3116,-806,-2205) -> Matrix(1,0,-12,1) Matrix(2393,6536,-1016,-2775) -> Matrix(65,6,-856,-79) Matrix(1253,3420,292,797) -> Matrix(65,6,574,53) Matrix(419,1140,154,419) -> Matrix(65,6,834,77) Matrix(113,304,42,113) -> Matrix(23,2,310,27) Matrix(1065,2812,-748,-1975) -> Matrix(47,4,-1046,-89) Matrix(1559,4104,-1140,-3001) -> Matrix(25,2,-588,-47) Matrix(1329,3496,-766,-2015) -> Matrix(67,6,-1262,-113) Matrix(987,2584,-610,-1597) -> Matrix(47,4,-952,-81) Matrix(495,1292,-218,-569) -> Matrix(25,2,-338,-27) Matrix(381,988,-322,-835) -> Matrix(47,4,-1328,-113) Matrix(3231,8360,-2276,-5889) -> Matrix(27,2,-608,-45) Matrix(647,1672,368,951) -> Matrix(21,2,430,41) Matrix(1481,3800,-1200,-3079) -> Matrix(23,2,-610,-53) Matrix(1217,3116,-712,-1823) -> Matrix(93,8,-1802,-155) Matrix(417,1064,-194,-495) -> Matrix(117,10,-1720,-147) Matrix(419,1064,-254,-645) -> Matrix(119,10,-2392,-201) Matrix(835,2052,-588,-1445) -> Matrix(99,8,-2240,-181) Matrix(683,1672,-404,-989) -> Matrix(151,12,-2932,-233) Matrix(1027,2508,794,1939) -> Matrix(25,2,662,53) Matrix(1901,4636,-1028,-2507) -> Matrix(149,12,-2620,-211) Matrix(531,1292,-344,-837) -> Matrix(51,4,-1084,-85) Matrix(533,1292,408,989) -> Matrix(53,4,1444,109) Matrix(1633,3952,926,2241) -> Matrix(21,2,430,41) Matrix(3079,7448,-2246,-5433) -> Matrix(21,2,-494,-47) Matrix(913,2204,756,1825) -> Matrix(99,8,2908,235) Matrix(4409,10640,-2582,-6231) -> Matrix(249,20,-4868,-391) Matrix(1293,3116,-788,-1899) -> Matrix(101,8,-2058,-163) Matrix(191,456,80,191) -> Matrix(77,6,1142,89) Matrix(417,988,176,417) -> Matrix(183,14,2758,211) Matrix(419,988,-338,-797) -> Matrix(79,6,-2120,-161) Matrix(10717,25232,4100,9653) -> Matrix(53,4,702,53) Matrix(9881,23256,-6264,-14743) -> Matrix(1,0,-8,1) Matrix(647,1520,146,343) -> Matrix(27,2,256,19) Matrix(721,1672,442,1025) -> Matrix(27,2,634,47) Matrix(1711,3952,1004,2319) -> Matrix(27,2,634,47) Matrix(989,2280,-560,-1291) -> Matrix(377,28,-6988,-519) Matrix(761,1748,596,1369) -> Matrix(163,12,4496,331) Matrix(2089,4788,-1476,-3383) -> Matrix(27,2,-662,-49) Matrix(267,608,184,419) -> Matrix(27,2,634,47) Matrix(3153,7144,-1426,-3231) -> Matrix(83,6,-1176,-85) Matrix(4599,10412,1360,3079) -> Matrix(137,10,1548,113) Matrix(571,1292,118,267) -> Matrix(83,6,650,47) Matrix(341,760,-188,-419) -> Matrix(197,14,-3532,-251) Matrix(343,760,292,647) -> Matrix(85,6,2564,181) Matrix(2507,5548,446,987) -> Matrix(57,4,356,25) Matrix(7181,15884,2628,5813) -> Matrix(143,10,1816,127) Matrix(1101,2432,292,645) -> Matrix(141,10,1424,101) Matrix(381,836,-242,-531) -> Matrix(57,4,-1240,-87) Matrix(2129,4636,-1256,-2735) -> Matrix(173,12,-3388,-235) Matrix(1293,2812,944,2053) -> Matrix(347,24,8834,611) Matrix(457,988,352,761) -> Matrix(117,8,3232,221) Matrix(569,1216,124,265) -> Matrix(89,6,786,53) Matrix(1291,2736,394,835) -> Matrix(179,12,1954,131) Matrix(37,76,18,37) -> Matrix(31,2,542,35) Matrix(39,76,20,39) -> Matrix(33,2,610,37) Matrix(683,1292,120,227) -> Matrix(137,8,976,57) Matrix(685,1292,202,381) -> Matrix(137,8,1524,89) Matrix(569,1064,-346,-647) -> Matrix(173,10,-3512,-203) Matrix(1519,2812,410,759) -> Matrix(421,24,4438,253) Matrix(1481,2736,308,569) -> Matrix(387,22,3008,171) Matrix(989,1824,-700,-1291) -> Matrix(71,4,-1580,-89) Matrix(1331,2432,978,1787) -> Matrix(179,10,4636,259) Matrix(4787,8740,-2956,-5397) -> Matrix(71,4,-1438,-81) Matrix(3915,7144,896,1635) -> Matrix(35,2,262,15) Matrix(417,760,62,113) -> Matrix(107,6,624,35) Matrix(797,1444,356,645) -> Matrix(467,26,7454,415) Matrix(799,1444,358,647) -> Matrix(469,26,7522,417) Matrix(723,1292,-446,-797) -> Matrix(37,2,-722,-39) Matrix(341,608,106,189) -> Matrix(37,2,462,25) Matrix(685,1216,-556,-987) -> Matrix(147,8,-3914,-213) Matrix(987,1748,214,379) -> Matrix(221,12,1860,101) Matrix(3267,5776,1418,2507) -> Matrix(1331,72,20612,1115) Matrix(3269,5776,1420,2509) -> Matrix(1333,72,20680,1117) Matrix(2241,3952,926,1633) -> Matrix(37,2,462,25) Matrix(303,532,86,151) -> Matrix(75,4,806,43) Matrix(1747,3040,1266,2203) -> Matrix(75,4,1856,99) Matrix(3761,6536,-2384,-4143) -> Matrix(113,6,-2392,-127) Matrix(571,988,330,571) -> Matrix(265,14,5546,293) Matrix(265,456,154,265) -> Matrix(115,6,2434,127) Matrix(2089,3572,-1534,-2623) -> Matrix(271,14,-6446,-333) Matrix(13527,23104,5606,9575) -> Matrix(935,48,13538,695) Matrix(13529,23104,5608,9577) -> Matrix(937,48,13606,697) Matrix(1291,2204,222,379) -> Matrix(157,8,1040,53) Matrix(3611,6156,-2964,-5053) -> Matrix(41,2,-1128,-55) Matrix(2319,3952,1004,1711) -> Matrix(43,2,666,31) Matrix(759,1292,178,303) -> Matrix(75,4,656,35) Matrix(3001,5092,1052,1785) -> Matrix(39,2,526,27) Matrix(7259,12312,-5130,-8701) -> Matrix(39,2,-800,-41) Matrix(3229,5472,560,949) -> Matrix(37,2,240,13) Matrix(987,1672,134,227) -> Matrix(77,4,404,21) Matrix(3419,5776,1394,2355) -> Matrix(779,40,11276,579) Matrix(3421,5776,1396,2357) -> Matrix(781,40,11344,581) Matrix(1445,2432,-1038,-1747) -> Matrix(1,0,-4,1) Matrix(873,1444,344,569) -> Matrix(279,14,3886,195) Matrix(875,1444,346,571) -> Matrix(281,14,3954,197) Matrix(1709,2812,392,645) -> Matrix(121,6,988,49) Matrix(4445,7296,-3126,-5131) -> Matrix(41,2,-882,-43) Matrix(1901,3116,-1344,-2203) -> Matrix(1,0,-2,1) Matrix(419,684,-302,-493) -> Matrix(41,2,-964,-47) Matrix(1595,2584,1266,2051) -> Matrix(81,4,2288,113) Matrix(6991,11324,1970,3191) -> Matrix(81,4,830,41) Matrix(15579,25232,8962,14515) -> Matrix(83,4,1722,83) Matrix(3571,5776,1362,2203) -> Matrix(163,8,2180,107) Matrix(3573,5776,1364,2205) -> Matrix(165,8,2248,109) Matrix(989,1596,-800,-1291) -> Matrix(1,0,-6,1) Matrix(1179,1900,260,419) -> Matrix(41,2,348,17) Matrix(189,304,-166,-267) -> Matrix(41,2,-1210,-59) Matrix(191,304,120,191) -> Matrix(41,2,922,45) Matrix(721,1140,456,721) -> Matrix(127,6,2942,139) Matrix(2167,3420,1662,2623) -> Matrix(127,6,3450,163) Matrix(110769,174724,40544,63953) -> Matrix(41,2,512,25) Matrix(110771,174724,40546,63955) -> Matrix(43,2,580,27) Matrix(10071,15884,5518,8703) -> Matrix(213,10,4196,197) Matrix(533,836,146,229) -> Matrix(1,0,32,1) Matrix(875,1368,268,419) -> Matrix(43,2,494,23) Matrix(8321,12996,2992,4673) -> Matrix(125,6,1604,77) Matrix(8323,12996,2994,4675) -> Matrix(127,6,1672,79) Matrix(3117,4864,926,1445) -> Matrix(85,4,956,45) Matrix(683,1064,536,835) -> Matrix(87,4,2414,111) Matrix(3723,5776,1322,2051) -> Matrix(1,0,40,1) Matrix(3725,5776,1324,2053) -> Matrix(1,0,28,1) Matrix(3533,5472,-2724,-4219) -> Matrix(41,2,-1046,-51) Matrix(3649,5624,-2958,-4559) -> Matrix(87,4,-2284,-105) Matrix(3307,5092,1358,2091) -> Matrix(41,2,594,29) Matrix(645,988,-472,-723) -> Matrix(45,2,-1058,-47) Matrix(1141,1672,260,381) -> Matrix(1,0,30,1) Matrix(417,608,286,417) -> Matrix(45,2,1102,49) Matrix(419,608,184,267) -> Matrix(43,2,666,31) Matrix(949,1368,342,493) -> Matrix(45,2,562,25) Matrix(4065,5852,712,1025) -> Matrix(229,10,1580,69) Matrix(1901,2736,1004,1445) -> Matrix(277,12,5286,229) Matrix(1481,2128,396,569) -> Matrix(49,2,514,21) Matrix(1747,2508,264,379) -> Matrix(1,0,30,1) Matrix(4027,5776,1218,1747) -> Matrix(1,0,42,1) Matrix(4029,5776,1220,1749) -> Matrix(1,0,26,1) Matrix(533,760,54,77) -> Matrix(1,0,26,1) Matrix(5815,8284,-4774,-6801) -> Matrix(133,6,-3702,-167) Matrix(3419,4864,1228,1747) -> Matrix(91,4,1160,51) Matrix(7333,10412,4094,5813) -> Matrix(227,10,4608,203) Matrix(911,1292,428,607) -> Matrix(183,8,3088,135) Matrix(9347,13224,1772,2507) -> Matrix(1,0,30,1) Matrix(1025,1444,296,417) -> Matrix(229,10,2496,109) Matrix(1027,1444,298,419) -> Matrix(231,10,2564,111) Matrix(381,532,164,229) -> Matrix(93,4,1418,61) Matrix(8133,11324,3112,4333) -> Matrix(95,4,1306,55) Matrix(1749,2432,274,381) -> Matrix(191,8,1122,47) Matrix(4179,5776,1154,1595) -> Matrix(1,0,38,1) Matrix(4181,5776,1156,1597) -> Matrix(1,0,30,1) Matrix(1101,1520,-854,-1179) -> Matrix(45,2,-1148,-51) Matrix(607,836,220,303) -> Matrix(1,0,36,1) Matrix(2051,2812,-1830,-2509) -> Matrix(187,8,-5540,-237) Matrix(2053,2812,944,1293) -> Matrix(563,24,9266,395) Matrix(16871,23104,4550,6231) -> Matrix(2443,104,25628,1091) Matrix(16873,23104,4552,6233) -> Matrix(2445,104,25696,1093) Matrix(2279,3116,1778,2431) -> Matrix(95,4,2636,111) Matrix(1559,2128,474,647) -> Matrix(47,2,446,19) Matrix(1787,2432,978,1331) -> Matrix(239,10,4756,199) Matrix(951,1292,700,951) -> Matrix(335,14,8686,363) Matrix(113,152,84,113) -> Matrix(49,2,1298,53) Matrix(1101,1444,260,341) -> Matrix(449,18,4016,161) Matrix(1103,1444,262,343) -> Matrix(451,18,4084,163) Matrix(989,1292,408,533) -> Matrix(101,4,1540,61) Matrix(2623,3420,1662,2167) -> Matrix(151,6,3498,139) Matrix(759,988,116,151) -> Matrix(101,4,530,21) Matrix(2167,2812,850,1103) -> Matrix(155,6,2144,83) Matrix(5509,7144,2490,3229) -> Matrix(53,2,874,33) Matrix(1291,1672,410,531) -> Matrix(1,0,38,1) Matrix(647,836,-558,-721) -> Matrix(51,2,-1454,-57) Matrix(1177,1520,676,873) -> Matrix(49,2,1004,41) Matrix(1481,1900,562,721) -> Matrix(51,2,688,27) Matrix(10145,12996,2224,2849) -> Matrix(51,2,382,15) Matrix(10147,12996,2226,2851) -> Matrix(53,2,450,17) Matrix(951,1216,506,647) -> Matrix(151,6,2894,115) Matrix(1369,1748,596,761) -> Matrix(307,12,4784,187) Matrix(835,1064,536,683) -> Matrix(103,4,2446,95) Matrix(419,532,330,419) -> Matrix(155,6,4314,167) Matrix(721,912,570,721) -> Matrix(261,10,7334,281) Matrix(2167,2736,994,1255) -> Matrix(577,22,9468,361) Matrix(1025,1292,572,721) -> Matrix(157,6,3166,121) Matrix(10717,13224,3142,3877) -> Matrix(1,0,38,1) Matrix(1177,1444,216,265) -> Matrix(377,14,2612,97) Matrix(1179,1444,218,267) -> Matrix(379,14,2680,99) Matrix(2621,3192,280,341) -> Matrix(57,2,256,9) Matrix(4561,5548,2500,3041) -> Matrix(111,4,2192,79) Matrix(1065,1292,502,609) -> Matrix(215,8,3628,135) Matrix(4827,5852,1474,1787) -> Matrix(271,10,3008,111) Matrix(4523,5472,1854,2243) -> Matrix(55,2,852,31) Matrix(1825,2204,756,913) -> Matrix(219,8,3148,115) Matrix(191,228,160,191) -> Matrix(55,2,1622,59) Matrix(2051,2432,576,683) -> Matrix(225,8,2278,81) Matrix(837,988,194,229) -> Matrix(115,4,1006,35) Matrix(2129,2508,646,761) -> Matrix(1,0,38,1) Matrix(647,760,292,343) -> Matrix(169,6,2732,97) Matrix(1445,1672,592,685) -> Matrix(115,4,1696,59) Matrix(1253,1444,164,189) -> Matrix(289,10,1416,49) Matrix(1255,1444,166,191) -> Matrix(291,10,1484,51) Matrix(2851,3192,510,571) -> Matrix(59,2,324,11) Matrix(683,760,204,227) -> Matrix(1,0,42,1) Matrix(1,0,2,1) -> Matrix(1,0,68,1) Matrix(267,-304,166,-189) -> Matrix(63,-2,1418,-45) Matrix(265,-304,34,-39) -> Matrix(63,-2,284,-9) Matrix(721,-836,558,-647) -> Matrix(61,-2,1678,-55) Matrix(1027,-1216,288,-341) -> Matrix(61,-2,580,-19) Matrix(1823,-2204,378,-457) -> Matrix(235,-8,1792,-61) Matrix(1443,-1748,440,-533) -> Matrix(117,-4,1258,-43) Matrix(1063,-1292,376,-457) -> Matrix(1,0,-16,1) Matrix(685,-836,186,-227) -> Matrix(117,-4,1258,-43) Matrix(495,-608,92,-113) -> Matrix(173,-6,1240,-43) Matrix(987,-1216,556,-685) -> Matrix(229,-8,4666,-163) Matrix(797,-988,338,-419) -> Matrix(173,-6,2624,-91) Matrix(1747,-2204,302,-381) -> Matrix(227,-8,1504,-53) Matrix(2317,-2964,684,-875) -> Matrix(53,-2,610,-23) Matrix(2849,-3648,624,-799) -> Matrix(55,-2,468,-17) Matrix(1179,-1520,854,-1101) -> Matrix(55,-2,1348,-49) Matrix(645,-836,206,-267) -> Matrix(55,-2,688,-25) Matrix(3457,-4484,616,-799) -> Matrix(55,-2,358,-13) Matrix(115,-152,28,-37) -> Matrix(53,-2,504,-19) Matrix(3573,-4864,1060,-1443) -> Matrix(103,-4,1262,-49) Matrix(723,-988,472,-645) -> Matrix(51,-2,1250,-49) Matrix(3001,-4104,1140,-1559) -> Matrix(51,-2,740,-29) Matrix(2887,-3952,778,-1065) -> Matrix(511,-20,5340,-209) Matrix(609,-836,110,-151) -> Matrix(101,-4,682,-27) Matrix(989,-1368,274,-379) -> Matrix(1,0,-16,1) Matrix(493,-684,302,-419) -> Matrix(51,-2,1148,-45) Matrix(647,-912,188,-265) -> Matrix(149,-6,1664,-67) Matrix(2205,-3116,806,-1139) -> Matrix(1,0,-12,1) Matrix(2203,-3116,1344,-1901) -> Matrix(1,0,-2,1) Matrix(2089,-2964,456,-647) -> Matrix(49,-2,466,-19) Matrix(1445,-2052,588,-835) -> Matrix(197,-8,2832,-115) Matrix(3421,-4864,908,-1291) -> Matrix(95,-4,974,-41) Matrix(267,-380,26,-37) -> Matrix(49,-2,172,-7) Matrix(531,-760,160,-229) -> Matrix(1,0,-12,1) Matrix(1215,-1748,212,-305) -> Matrix(101,-4,682,-27) Matrix(569,-836,130,-191) -> Matrix(47,-2,400,-17) Matrix(837,-1292,344,-531) -> Matrix(93,-4,1372,-59) Matrix(835,-1292,148,-229) -> Matrix(1,0,-16,1) Matrix(685,-1064,244,-379) -> Matrix(1,0,-12,1) Matrix(4673,-7296,1680,-2623) -> Matrix(139,-6,1784,-77) Matrix(1977,-3116,578,-911) -> Matrix(1,0,-12,1) Matrix(4143,-6536,2384,-3761) -> Matrix(139,-6,2896,-125) Matrix(1747,-2812,520,-837) -> Matrix(89,-4,1046,-47) Matrix(2545,-4104,684,-1103) -> Matrix(43,-2,452,-21) Matrix(2167,-3496,918,-1481) -> Matrix(137,-6,2078,-91) Matrix(1597,-2584,610,-987) -> Matrix(89,-4,1224,-55) Matrix(797,-1292,446,-723) -> Matrix(43,-2,882,-41) Matrix(607,-988,94,-153) -> Matrix(89,-4,512,-23) Matrix(5129,-8360,1516,-2471) -> Matrix(41,-2,472,-23) Matrix(2319,-3800,440,-721) -> Matrix(45,-2,338,-15) Matrix(1899,-3116,788,-1293) -> Matrix(179,-8,2618,-117) Matrix(647,-1064,346,-569) -> Matrix(223,-10,4304,-193) Matrix(645,-1064,254,-419) -> Matrix(221,-10,3072,-139) Matrix(1217,-2052,360,-607) -> Matrix(173,-8,1968,-91) Matrix(989,-1672,404,-683) -> Matrix(257,-12,3748,-175) Matrix(2735,-4636,1256,-2129) -> Matrix(259,-12,4252,-197) Matrix(761,-1292,268,-455) -> Matrix(85,-4,1084,-51) Matrix(4369,-7448,1182,-2015) -> Matrix(47,-2,494,-21) Matrix(6231,-10640,2582,-4409) -> Matrix(431,-20,6228,-289) Matrix(1823,-3116,712,-1217) -> Matrix(171,-8,2330,-109) Matrix(569,-988,110,-191) -> Matrix(125,-6,896,-43) Matrix(13375,-23256,4896,-8513) -> Matrix(1,0,-8,1) Matrix(1291,-2280,560,-989) -> Matrix(575,-28,8892,-433) Matrix(2699,-4788,792,-1405) -> Matrix(41,-2,390,-19) Matrix(3991,-7144,2186,-3913) -> Matrix(121,-6,2400,-119) Matrix(419,-760,188,-341) -> Matrix(279,-14,4484,-225) Matrix(455,-836,166,-305) -> Matrix(79,-4,968,-49) Matrix(2507,-4636,1028,-1901) -> Matrix(235,-12,3388,-173) Matrix(495,-1064,194,-417) -> Matrix(167,-10,2288,-137) Matrix(835,-1824,244,-533) -> Matrix(65,-4,764,-47) Matrix(3953,-8740,1512,-3343) -> Matrix(65,-4,894,-55) Matrix(569,-1292,218,-495) -> Matrix(31,-2,450,-29) Matrix(531,-1216,100,-229) -> Matrix(125,-8,922,-59) Matrix(2775,-6536,1016,-2393) -> Matrix(91,-6,1168,-77) Matrix(1483,-3572,394,-949) -> Matrix(205,-14,2094,-143) Matrix(2545,-6156,456,-1103) -> Matrix(27,-2,176,-13) Matrix(5053,-12312,1482,-3611) -> Matrix(29,-2,392,-27) Matrix(987,-2432,278,-685) -> Matrix(1,0,-4,1) Matrix(2851,-7296,846,-2165) -> Matrix(27,-2,338,-25) Matrix(1215,-3116,356,-913) -> Matrix(1,0,-2,1) Matrix(265,-684,74,-191) -> Matrix(27,-2,284,-21) Matrix(607,-1596,116,-305) -> Matrix(1,0,-6,1) Matrix(115,-304,14,-37) -> Matrix(27,-2,122,-9) Matrix(1939,-5472,444,-1253) -> Matrix(27,-2,230,-17) Matrix(1975,-5624,374,-1065) -> Matrix(49,-4,380,-31) Matrix(343,-988,92,-265) -> Matrix(23,-2,242,-21) Matrix(2469,-8284,442,-1483) -> Matrix(71,-6,438,-37) Matrix(419,-1520,94,-341) -> Matrix(23,-2,196,-17) Matrix(761,-2812,82,-303) -> Matrix(85,-8,372,-35) Matrix(189,-836,26,-115) -> Matrix(17,-2,94,-11) 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): 120 Degree of the the map X: 120 Degree of the the map Y: 360 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1080 Minimal number of generators: 181 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 54 Genus: 64 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 2/1 19/9 38/17 76/33 19/8 12/5 152/63 76/31 38/15 76/29 19/7 418/153 114/41 76/27 3/1 19/6 76/23 38/11 18/5 76/21 152/41 34/9 19/5 4/1 38/9 30/7 114/25 14/3 19/4 24/5 5/1 26/5 95/18 16/3 38/7 11/2 17/3 40/7 6/1 19/3 32/5 13/2 20/3 7/1 22/3 15/2 38/5 8/1 9/1 28/3 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES 0/1 0/1 1/1 0/1 1/35 8/7 1/32 1/31 15/13 1/31 4/123 7/6 1/31 2/61 20/17 1/30 1/29 33/28 0/1 1/32 13/11 2/61 3/91 19/16 1/30 6/5 1/30 29/24 8/235 3/88 23/19 2/59 1/29 17/14 0/1 1/29 28/23 1/30 1/29 11/9 4/117 1/29 16/13 1/29 3/86 21/17 1/29 2/57 5/4 2/57 1/28 29/23 0/1 1/28 24/19 5/141 1/28 19/15 1/28 14/11 1/28 37/29 2/55 1/27 23/18 2/55 5/137 32/25 1/28 1/27 41/32 1/28 2/55 9/7 1/28 2/55 31/24 0/1 1/27 53/41 1/27 2/53 22/17 1/28 35/27 1/28 2/55 48/37 1/28 1/27 13/10 2/55 5/137 43/33 4/109 5/136 30/23 3/82 17/13 8/217 1/27 4/3 1/27 1/26 19/14 1/26 34/25 1/26 49/36 7/181 6/155 15/11 4/103 3/77 41/30 1/26 2/51 26/19 5/128 63/46 2/51 21/535 37/27 2/51 5/127 11/8 0/1 1/25 40/29 1/25 1/24 69/50 1/25 2/49 29/21 0/1 1/24 18/13 1/26 7/5 2/51 1/25 24/17 1/25 3/74 41/29 3/74 2/49 17/12 0/1 1/25 44/31 1/25 3/74 27/19 2/49 3/73 64/45 1/25 1/24 37/26 5/123 2/49 10/7 1/24 33/23 0/1 1/28 56/39 1/26 1/25 23/16 2/51 1/25 36/25 1/25 3/74 13/9 1/25 2/49 16/11 1/25 1/24 19/13 1/24 3/2 0/1 1/24 23/15 2/47 1/23 20/13 1/24 1/23 17/11 0/1 1/23 31/20 0/1 1/21 14/9 1/24 39/25 3/71 2/47 64/41 3/70 1/23 25/16 0/1 1/23 36/23 1/23 1/22 11/7 0/1 1/23 41/26 2/47 3/70 71/45 1/24 2/47 30/19 3/70 19/12 1/23 8/5 1/23 1/22 37/23 2/45 7/157 29/18 0/1 1/22 50/31 1/24 21/13 1/23 2/45 34/21 1/22 13/8 1/23 2/45 44/27 1/22 1/21 75/46 0/1 1/21 31/19 0/1 1/23 18/11 1/22 59/36 0/1 1/23 41/25 3/68 2/45 23/14 1/23 2/45 28/17 5/111 1/22 5/3 1/22 2/43 27/16 7/151 2/43 22/13 3/64 61/36 0/1 1/21 39/23 2/43 1/21 17/10 4/85 1/21 46/27 1/20 75/44 0/1 1/21 29/17 0/1 1/22 70/41 5/108 41/24 2/43 7/150 12/7 3/64 1/21 19/11 1/21 26/15 7/146 33/19 5/104 4/83 73/42 4/83 3/62 113/65 1/21 2/41 40/23 1/21 3/62 7/4 1/21 2/41 37/21 5/103 2/41 30/17 7/144 23/13 2/41 11/225 39/22 2/41 7/143 55/31 2/41 3/61 16/9 3/61 1/20 25/14 3/61 4/81 34/19 1/20 77/43 3/61 4/81 43/24 4/81 1/20 9/5 6/121 1/20 20/11 1/20 7/139 31/17 5/99 4/79 73/40 1/20 4/79 115/63 3/59 2/39 42/23 1/20 11/6 4/79 3/59 24/13 3/59 5/98 37/20 7/137 2/39 13/7 2/39 9/175 28/15 5/97 3/58 15/8 7/135 4/77 17/9 8/153 1/19 19/10 1/19 2/1 1/18 19/9 1/17 17/8 1/17 8/135 15/7 4/67 7/117 13/6 9/149 2/33 37/17 2/33 7/115 61/28 7/115 12/197 24/11 5/82 3/49 11/5 3/49 4/65 42/19 1/16 73/33 4/65 1/16 31/14 4/65 5/81 20/9 7/113 1/16 29/13 20/321 1/16 38/17 1/16 9/4 1/16 6/95 25/11 4/63 3/47 16/7 1/16 3/47 39/17 7/109 2/31 23/10 11/171 2/31 76/33 2/31 53/23 2/31 25/387 30/13 7/108 37/16 2/31 5/77 7/3 2/31 1/15 40/17 3/46 1/15 33/14 4/61 5/76 59/25 4/61 1/15 26/11 7/106 19/8 1/15 12/5 1/15 3/44 53/22 5/73 2/29 41/17 7/102 2/29 152/63 2/29 111/46 2/29 17/246 70/29 5/72 29/12 0/1 1/14 75/31 0/1 1/15 46/19 1/16 17/7 1/15 4/59 56/23 1/15 3/44 95/39 3/44 39/16 1/15 2/29 100/41 3/43 1/14 61/25 0/1 1/15 22/9 3/44 49/20 13/189 2/29 76/31 2/29 27/11 2/29 7/101 32/13 3/43 1/14 5/2 2/29 1/14 38/15 1/14 33/13 1/14 12/167 28/11 1/14 5/69 51/20 13/179 4/55 23/9 2/27 1/13 64/25 1/14 3/41 41/16 2/27 3/40 18/7 1/14 13/5 2/27 1/13 47/18 1/14 4/55 81/31 1/14 2/27 115/44 2/27 1/13 149/57 0/1 1/14 34/13 1/14 55/21 3/41 2/27 76/29 2/27 21/8 2/27 1/13 50/19 1/12 79/30 0/1 1/14 29/11 0/1 1/14 8/3 1/14 1/13 19/7 1/13 30/11 3/38 71/26 2/25 1/12 112/41 1/13 3/38 265/97 1/13 2/25 418/153 1/13 153/56 1/13 4/51 41/15 3/38 2/25 52/19 1/13 3/38 11/4 0/1 1/13 36/13 1/14 1/13 25/9 0/1 1/13 114/41 1/13 89/32 1/13 6/77 64/23 1/13 3/38 39/14 2/25 3/37 14/5 1/12 45/16 0/1 1/9 76/27 0/1 31/11 0/1 1/15 48/17 1/14 1/13 17/6 0/1 1/13 37/13 1/13 2/25 57/20 1/12 20/7 1/13 1/12 3/1 0/1 1/12 22/7 1/12 19/6 1/12 16/5 1/12 1/11 13/4 2/23 1/11 36/11 3/34 1/11 95/29 1/11 59/18 1/11 4/43 23/7 1/11 2/21 56/17 1/11 1/10 33/10 0/1 1/8 76/23 0/1 43/13 0/1 1/16 10/3 1/12 57/17 1/12 47/14 1/12 4/47 37/11 2/23 5/57 64/19 1/12 1/11 91/27 0/1 1/13 27/8 3/35 2/23 71/21 2/23 3/34 115/34 2/23 1/11 44/13 3/34 1/11 61/18 4/45 9/101 17/5 0/1 1/11 75/22 0/1 1/13 133/39 1/12 58/17 1/12 41/12 2/23 3/34 65/19 0/1 1/11 24/7 3/34 1/11 31/9 8/89 1/11 38/11 1/11 7/2 1/11 2/21 39/11 2/21 3/31 71/20 2/21 1/10 32/9 3/31 1/10 57/16 1/10 25/7 0/1 1/11 18/5 1/10 47/13 0/1 1/8 76/21 0/1 29/8 0/1 1/12 40/11 1/12 1/11 11/3 0/1 1/11 48/13 1/11 3/32 85/23 3/32 2/21 37/10 5/53 2/21 63/17 21/221 2/21 152/41 2/21 89/24 2/21 31/325 26/7 5/52 67/18 2/21 1/10 41/11 2/21 1/10 56/15 3/31 1/10 15/4 3/31 4/41 64/17 5/51 1/10 49/13 6/61 7/71 34/9 1/10 19/5 1/10 4/1 1/10 1/9 21/5 10/91 1/9 38/9 1/9 17/4 1/9 8/71 30/7 3/26 43/10 5/44 4/35 13/3 5/43 2/17 48/11 1/9 1/8 83/19 2/17 3/25 35/8 2/17 1/8 57/13 1/8 22/5 1/8 31/7 0/1 1/9 40/9 1/9 1/8 9/2 2/17 1/8 41/9 2/17 1/8 114/25 1/8 73/16 0/1 1/8 32/7 1/9 1/8 55/12 2/19 1/9 23/5 5/43 2/17 37/8 1/9 2/17 14/3 1/8 19/4 1/8 24/5 1/8 5/39 53/11 3/23 2/15 29/6 0/1 1/8 5/1 1/8 2/15 26/5 1/6 21/4 2/15 1/7 58/11 1/8 95/18 1/8 37/7 3/23 2/15 16/3 3/22 1/7 27/5 10/71 1/7 38/7 1/7 11/2 1/7 4/27 39/7 2/13 3/19 67/12 2/13 1/6 95/17 1/6 28/5 1/7 1/6 73/13 0/1 1/6 45/8 0/1 1/5 17/3 0/1 1/7 57/10 1/7 40/7 1/7 7/48 23/4 1/7 2/13 52/9 7/47 3/20 29/5 3/20 8/53 6/1 1/6 19/3 1/6 32/5 1/6 5/29 13/2 3/17 2/11 33/5 0/1 1/4 20/3 1/7 1/6 7/1 2/11 1/5 22/3 1/6 15/2 4/21 1/5 38/5 1/5 23/3 1/5 6/29 8/1 1/5 1/4 9/1 2/9 1/4 28/3 3/13 1/4 19/2 1/4 10/1 1/4 1/0 0/1 1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,1,1) (0/1,1/0) -> (0/1,1/1) Parabolic Matrix(267,-304,166,-189) (1/1,8/7) -> (8/5,37/23) Hyperbolic Matrix(265,-304,34,-39) (8/7,15/13) -> (23/3,8/1) Hyperbolic Matrix(721,-836,558,-647) (15/13,7/6) -> (31/24,53/41) Hyperbolic Matrix(647,-760,355,-417) (7/6,20/17) -> (20/11,31/17) Hyperbolic Matrix(2129,-2508,1483,-1747) (20/17,33/28) -> (33/23,56/39) Hyperbolic Matrix(837,-988,643,-759) (33/28,13/11) -> (13/10,43/33) Hyperbolic Matrix(1027,-1216,288,-341) (13/11,19/16) -> (57/16,25/7) Hyperbolic Matrix(191,-228,31,-37) (19/16,6/5) -> (6/1,19/3) Hyperbolic Matrix(1825,-2204,1069,-1291) (6/5,29/24) -> (29/17,70/41) Hyperbolic Matrix(1823,-2204,378,-457) (29/24,23/19) -> (53/11,29/6) Hyperbolic Matrix(1443,-1748,440,-533) (23/19,17/14) -> (59/18,23/7) Hyperbolic Matrix(1063,-1292,376,-457) (17/14,28/23) -> (48/17,17/6) Hyperbolic Matrix(685,-836,186,-227) (28/23,11/9) -> (11/3,48/13) Hyperbolic Matrix(495,-608,92,-113) (11/9,16/13) -> (16/3,27/5) Hyperbolic Matrix(987,-1216,556,-685) (16/13,21/17) -> (55/31,16/9) Hyperbolic Matrix(797,-988,338,-419) (21/17,5/4) -> (33/14,59/25) Hyperbolic Matrix(2051,-2584,785,-989) (5/4,29/23) -> (47/18,81/31) Hyperbolic Matrix(1747,-2204,302,-381) (29/23,24/19) -> (52/9,29/5) Hyperbolic Matrix(721,-912,151,-191) (24/19,19/15) -> (19/4,24/5) Hyperbolic Matrix(419,-532,89,-113) (19/15,14/11) -> (14/3,19/4) Hyperbolic Matrix(835,-1064,299,-381) (14/11,37/29) -> (39/14,14/5) Hyperbolic Matrix(1369,-1748,773,-987) (37/29,23/18) -> (23/13,39/22) Hyperbolic Matrix(2317,-2964,684,-875) (23/18,32/25) -> (44/13,61/18) Hyperbolic Matrix(2849,-3648,624,-799) (32/25,41/32) -> (73/16,32/7) Hyperbolic Matrix(2431,-3116,653,-837) (41/32,9/7) -> (67/18,41/11) Hyperbolic Matrix(1179,-1520,854,-1101) (9/7,31/24) -> (69/50,29/21) Hyperbolic Matrix(1939,-2508,1145,-1481) (53/41,22/17) -> (22/13,61/36) Hyperbolic Matrix(645,-836,206,-267) (22/17,35/27) -> (3/1,22/7) Hyperbolic Matrix(3457,-4484,616,-799) (35/27,48/37) -> (28/5,73/13) Hyperbolic Matrix(761,-988,409,-531) (48/37,13/10) -> (13/7,28/15) Hyperbolic Matrix(2623,-3420,961,-1253) (43/33,30/23) -> (30/11,71/26) Hyperbolic Matrix(989,-1292,581,-759) (30/23,17/13) -> (17/10,46/27) Hyperbolic Matrix(115,-152,28,-37) (17/13,4/3) -> (4/1,21/5) Hyperbolic Matrix(113,-152,29,-39) (4/3,19/14) -> (19/5,4/1) Hyperbolic Matrix(951,-1292,251,-341) (19/14,34/25) -> (34/9,19/5) Hyperbolic Matrix(1787,-2432,809,-1101) (34/25,49/36) -> (11/5,42/19) Hyperbolic Matrix(3573,-4864,1060,-1443) (49/36,15/11) -> (91/27,27/8) Hyperbolic Matrix(723,-988,472,-645) (15/11,41/30) -> (3/2,23/15) Hyperbolic Matrix(3001,-4104,1140,-1559) (41/30,26/19) -> (50/19,79/30) Hyperbolic Matrix(2887,-3952,778,-1065) (26/19,63/46) -> (89/24,26/7) Hyperbolic Matrix(2053,-2812,1109,-1519) (63/46,37/27) -> (37/20,13/7) Hyperbolic Matrix(609,-836,110,-151) (37/27,11/8) -> (11/2,39/7) Hyperbolic Matrix(607,-836,387,-533) (11/8,40/29) -> (36/23,11/7) Hyperbolic Matrix(2203,-3040,937,-1293) (40/29,69/50) -> (7/3,40/17) Hyperbolic Matrix(989,-1368,274,-379) (29/21,18/13) -> (18/5,47/13) Hyperbolic Matrix(493,-684,302,-419) (18/13,7/5) -> (31/19,18/11) Hyperbolic Matrix(647,-912,188,-265) (7/5,24/17) -> (24/7,31/9) Hyperbolic Matrix(2205,-3116,806,-1139) (24/17,41/29) -> (41/15,52/19) Hyperbolic Matrix(2203,-3116,1344,-1901) (41/29,17/12) -> (59/36,41/25) Hyperbolic Matrix(2089,-2964,456,-647) (17/12,44/31) -> (32/7,55/12) Hyperbolic Matrix(1445,-2052,588,-835) (44/31,27/19) -> (27/11,32/13) Hyperbolic Matrix(3421,-4864,908,-1291) (27/19,64/45) -> (64/17,49/13) Hyperbolic Matrix(3419,-4864,2191,-3117) (64/45,37/26) -> (39/25,64/41) Hyperbolic Matrix(267,-380,26,-37) (37/26,10/7) -> (10/1,1/0) Hyperbolic Matrix(531,-760,160,-229) (10/7,33/23) -> (43/13,10/3) Hyperbolic Matrix(1217,-1748,793,-1139) (56/39,23/16) -> (23/15,20/13) Hyperbolic Matrix(1215,-1748,212,-305) (23/16,36/25) -> (40/7,23/4) Hyperbolic Matrix(949,-1368,607,-875) (36/25,13/9) -> (25/16,36/23) Hyperbolic Matrix(419,-608,235,-341) (13/9,16/11) -> (16/9,25/14) Hyperbolic Matrix(417,-608,131,-191) (16/11,19/13) -> (19/6,16/5) Hyperbolic Matrix(569,-836,130,-191) (19/13,3/2) -> (35/8,57/13) Hyperbolic Matrix(837,-1292,344,-531) (20/13,17/11) -> (17/7,56/23) Hyperbolic Matrix(835,-1292,148,-229) (17/11,31/20) -> (45/8,17/3) Hyperbolic Matrix(685,-1064,244,-379) (31/20,14/9) -> (14/5,45/16) Hyperbolic Matrix(683,-1064,147,-229) (14/9,39/25) -> (37/8,14/3) Hyperbolic Matrix(4673,-7296,1680,-2623) (64/41,25/16) -> (89/32,64/23) Hyperbolic Matrix(1977,-3116,578,-911) (11/7,41/26) -> (41/12,65/19) Hyperbolic Matrix(4143,-6536,2384,-3761) (41/26,71/45) -> (33/19,73/42) Hyperbolic Matrix(2167,-3420,505,-797) (71/45,30/19) -> (30/7,43/10) Hyperbolic Matrix(721,-1140,265,-419) (30/19,19/12) -> (19/7,30/11) Hyperbolic Matrix(191,-304,71,-113) (19/12,8/5) -> (8/3,19/7) Hyperbolic Matrix(1747,-2812,520,-837) (37/23,29/18) -> (47/14,37/11) Hyperbolic Matrix(2545,-4104,684,-1103) (29/18,50/31) -> (26/7,67/18) Hyperbolic Matrix(2167,-3496,918,-1481) (50/31,21/13) -> (59/25,26/11) Hyperbolic Matrix(1597,-2584,610,-987) (21/13,34/21) -> (34/13,55/21) Hyperbolic Matrix(797,-1292,446,-723) (34/21,13/8) -> (25/14,34/19) Hyperbolic Matrix(607,-988,94,-153) (13/8,44/27) -> (32/5,13/2) Hyperbolic Matrix(5129,-8360,1516,-2471) (44/27,75/46) -> (115/34,44/13) Hyperbolic Matrix(1025,-1672,583,-951) (75/46,31/19) -> (7/4,37/21) Hyperbolic Matrix(2319,-3800,440,-721) (18/11,59/36) -> (21/4,58/11) Hyperbolic Matrix(1899,-3116,788,-1293) (41/25,23/14) -> (53/22,41/17) Hyperbolic Matrix(647,-1064,346,-569) (23/14,28/17) -> (28/15,15/8) Hyperbolic Matrix(645,-1064,254,-419) (28/17,5/3) -> (33/13,28/11) Hyperbolic Matrix(1217,-2052,360,-607) (5/3,27/16) -> (27/8,71/21) Hyperbolic Matrix(989,-1672,404,-683) (27/16,22/13) -> (22/9,49/20) Hyperbolic Matrix(2735,-4636,1256,-2129) (61/36,39/23) -> (37/17,61/28) Hyperbolic Matrix(761,-1292,268,-455) (39/23,17/10) -> (17/6,37/13) Hyperbolic Matrix(2319,-3952,1315,-2241) (46/27,75/44) -> (37/21,30/17) Hyperbolic Matrix(4369,-7448,1182,-2015) (75/44,29/17) -> (85/23,37/10) Hyperbolic Matrix(6231,-10640,2582,-4409) (70/41,41/24) -> (111/46,70/29) Hyperbolic Matrix(1823,-3116,712,-1217) (41/24,12/7) -> (64/25,41/16) Hyperbolic Matrix(265,-456,111,-191) (12/7,19/11) -> (19/8,12/5) Hyperbolic Matrix(571,-988,241,-417) (19/11,26/15) -> (26/11,19/8) Hyperbolic Matrix(569,-988,110,-191) (26/15,33/19) -> (5/1,26/5) Hyperbolic Matrix(14515,-25232,5553,-9653) (73/42,113/65) -> (115/44,149/57) Hyperbolic Matrix(13375,-23256,4896,-8513) (113/65,40/23) -> (112/41,265/97) Hyperbolic Matrix(873,-1520,197,-343) (40/23,7/4) -> (31/7,40/9) Hyperbolic Matrix(1291,-2280,560,-989) (30/17,23/13) -> (53/23,30/13) Hyperbolic Matrix(2699,-4788,792,-1405) (39/22,55/31) -> (17/5,75/22) Hyperbolic Matrix(3991,-7144,2186,-3913) (34/19,77/43) -> (115/63,42/23) Hyperbolic Matrix(5813,-10412,1719,-3079) (77/43,43/24) -> (71/21,115/34) Hyperbolic Matrix(721,-1292,149,-267) (43/24,9/5) -> (29/6,5/1) Hyperbolic Matrix(419,-760,188,-341) (9/5,20/11) -> (20/9,29/13) Hyperbolic Matrix(3041,-5548,541,-987) (31/17,73/40) -> (73/13,45/8) Hyperbolic Matrix(8703,-15884,3185,-5813) (73/40,115/63) -> (153/56,41/15) Hyperbolic Matrix(1331,-2432,353,-645) (42/23,11/6) -> (49/13,34/9) Hyperbolic Matrix(455,-836,166,-305) (11/6,24/13) -> (52/19,11/4) Hyperbolic Matrix(2507,-4636,1028,-1901) (24/13,37/20) -> (39/16,100/41) Hyperbolic Matrix(647,-1216,141,-265) (15/8,17/9) -> (55/12,23/5) Hyperbolic Matrix(1445,-2736,441,-835) (17/9,19/10) -> (95/29,59/18) Hyperbolic Matrix(39,-76,19,-37) (19/10,2/1) -> (2/1,19/9) Parabolic Matrix(609,-1292,107,-227) (19/9,17/8) -> (17/3,57/10) Hyperbolic Matrix(607,-1292,179,-381) (17/8,15/7) -> (61/18,17/5) Hyperbolic Matrix(495,-1064,194,-417) (15/7,13/6) -> (51/20,23/9) Hyperbolic Matrix(1293,-2812,349,-759) (13/6,37/17) -> (37/10,63/17) Hyperbolic Matrix(1255,-2736,261,-569) (61/28,24/11) -> (24/5,53/11) Hyperbolic Matrix(835,-1824,244,-533) (24/11,11/5) -> (65/19,24/7) Hyperbolic Matrix(3953,-8740,1512,-3343) (42/19,73/33) -> (149/57,34/13) Hyperbolic Matrix(3229,-7144,739,-1635) (73/33,31/14) -> (83/19,35/8) Hyperbolic Matrix(343,-760,51,-113) (31/14,20/9) -> (20/3,7/1) Hyperbolic Matrix(647,-1444,289,-645) (29/13,38/17) -> (38/17,9/4) Parabolic Matrix(569,-1292,218,-495) (9/4,25/11) -> (13/5,47/18) Hyperbolic Matrix(267,-608,83,-189) (25/11,16/7) -> (16/5,13/4) Hyperbolic Matrix(531,-1216,100,-229) (16/7,39/17) -> (37/7,16/3) Hyperbolic Matrix(761,-1748,165,-379) (39/17,23/10) -> (23/5,37/8) Hyperbolic Matrix(2509,-5776,1089,-2507) (23/10,76/33) -> (76/33,53/23) Parabolic Matrix(1711,-3952,707,-1633) (30/13,37/16) -> (75/31,46/19) Hyperbolic Matrix(229,-532,65,-151) (37/16,7/3) -> (7/2,39/11) Hyperbolic Matrix(2775,-6536,1016,-2393) (40/17,33/14) -> (71/26,112/41) Hyperbolic Matrix(1483,-3572,394,-949) (12/5,53/22) -> (15/4,64/17) Hyperbolic Matrix(9577,-23104,3969,-9575) (41/17,152/63) -> (152/63,111/46) Parabolic Matrix(913,-2204,157,-379) (70/29,29/12) -> (29/5,6/1) Hyperbolic Matrix(2545,-6156,456,-1103) (29/12,75/31) -> (39/7,67/12) Hyperbolic Matrix(533,-1292,125,-303) (46/19,17/7) -> (17/4,30/7) Hyperbolic Matrix(2091,-5092,733,-1785) (56/23,95/39) -> (57/20,20/7) Hyperbolic Matrix(5053,-12312,1482,-3611) (95/39,39/16) -> (75/22,133/39) Hyperbolic Matrix(2243,-5472,389,-949) (100/41,61/25) -> (23/4,52/9) Hyperbolic Matrix(685,-1672,93,-227) (61/25,22/9) -> (22/3,15/2) Hyperbolic Matrix(2357,-5776,961,-2355) (49/20,76/31) -> (76/31,27/11) Parabolic Matrix(987,-2432,278,-685) (32/13,5/2) -> (71/20,32/9) Hyperbolic Matrix(571,-1444,225,-569) (5/2,38/15) -> (38/15,33/13) Parabolic Matrix(1103,-2812,253,-645) (28/11,51/20) -> (13/3,48/11) Hyperbolic Matrix(2851,-7296,846,-2165) (23/9,64/25) -> (64/19,91/27) Hyperbolic Matrix(1215,-3116,356,-913) (41/16,18/7) -> (58/17,41/12) Hyperbolic Matrix(265,-684,74,-191) (18/7,13/5) -> (25/7,18/5) Hyperbolic Matrix(4333,-11324,1221,-3191) (81/31,115/44) -> (39/11,71/20) Hyperbolic Matrix(2205,-5776,841,-2203) (55/21,76/29) -> (76/29,21/8) Parabolic Matrix(607,-1596,116,-305) (21/8,50/19) -> (26/5,21/4) Hyperbolic Matrix(721,-1900,159,-419) (79/30,29/11) -> (9/2,41/9) Hyperbolic Matrix(115,-304,14,-37) (29/11,8/3) -> (8/1,9/1) Hyperbolic Matrix(63955,-174724,23409,-63953) (265/97,418/153) -> (418/153,153/56) Parabolic Matrix(303,-836,83,-229) (11/4,36/13) -> (40/11,11/3) Hyperbolic Matrix(493,-1368,151,-419) (36/13,25/9) -> (13/4,36/11) Hyperbolic Matrix(4675,-12996,1681,-4673) (25/9,114/41) -> (114/41,89/32) Parabolic Matrix(1747,-4864,519,-1445) (64/23,39/14) -> (37/11,64/19) Hyperbolic Matrix(2053,-5776,729,-2051) (45/16,76/27) -> (76/27,31/11) Parabolic Matrix(1939,-5472,444,-1253) (31/11,48/17) -> (48/11,83/19) Hyperbolic Matrix(1975,-5624,374,-1065) (37/13,57/20) -> (95/18,37/7) Hyperbolic Matrix(343,-988,92,-265) (20/7,3/1) -> (41/11,56/15) Hyperbolic Matrix(531,-1672,121,-381) (22/7,19/6) -> (57/13,22/5) Hyperbolic Matrix(1787,-5852,313,-1025) (36/11,95/29) -> (57/10,40/7) Hyperbolic Matrix(647,-2128,173,-569) (23/7,56/17) -> (56/15,15/4) Hyperbolic Matrix(761,-2508,115,-379) (56/17,33/10) -> (33/5,20/3) Hyperbolic Matrix(1749,-5776,529,-1747) (33/10,76/23) -> (76/23,43/13) Parabolic Matrix(227,-760,23,-77) (10/3,57/17) -> (19/2,10/1) Hyperbolic Matrix(2469,-8284,442,-1483) (57/17,47/14) -> (67/12,95/17) Hyperbolic Matrix(3877,-13224,735,-2507) (133/39,58/17) -> (58/11,95/18) Hyperbolic Matrix(419,-1444,121,-417) (31/9,38/11) -> (38/11,7/2) Parabolic Matrix(683,-2432,107,-381) (32/9,57/16) -> (19/3,32/5) Hyperbolic Matrix(1597,-5776,441,-1595) (47/13,76/21) -> (76/21,29/8) Parabolic Matrix(419,-1520,94,-341) (29/8,40/11) -> (40/9,9/2) Hyperbolic Matrix(761,-2812,82,-303) (48/13,85/23) -> (9/1,28/3) Hyperbolic Matrix(6233,-23104,1681,-6231) (63/17,152/41) -> (152/41,89/24) Parabolic Matrix(343,-1444,81,-341) (21/5,38/9) -> (38/9,17/4) Parabolic Matrix(229,-988,35,-151) (43/10,13/3) -> (13/2,33/5) Hyperbolic Matrix(189,-836,26,-115) (22/5,31/7) -> (7/1,22/3) Hyperbolic Matrix(2851,-12996,625,-2849) (41/9,114/25) -> (114/25,73/16) Parabolic Matrix(267,-1444,49,-265) (27/5,38/7) -> (38/7,11/2) Parabolic Matrix(571,-3192,61,-341) (95/17,28/5) -> (28/3,19/2) Hyperbolic Matrix(191,-1444,25,-189) (15/2,38/5) -> (38/5,23/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,0,1,1) -> Matrix(1,0,34,1) Matrix(267,-304,166,-189) -> Matrix(63,-2,1418,-45) Matrix(265,-304,34,-39) -> Matrix(63,-2,284,-9) Matrix(721,-836,558,-647) -> Matrix(61,-2,1678,-55) Matrix(647,-760,355,-417) -> Matrix(181,-6,3590,-119) Matrix(2129,-2508,1483,-1747) -> Matrix(1,0,-4,1) Matrix(837,-988,643,-759) -> Matrix(123,-4,3352,-109) Matrix(1027,-1216,288,-341) -> Matrix(61,-2,580,-19) Matrix(191,-228,31,-37) -> Matrix(59,-2,384,-13) Matrix(1825,-2204,1069,-1291) -> Matrix(235,-8,5082,-173) Matrix(1823,-2204,378,-457) -> Matrix(235,-8,1792,-61) Matrix(1443,-1748,440,-533) -> Matrix(117,-4,1258,-43) Matrix(1063,-1292,376,-457) -> Matrix(1,0,-16,1) Matrix(685,-836,186,-227) -> Matrix(117,-4,1258,-43) Matrix(495,-608,92,-113) -> Matrix(173,-6,1240,-43) Matrix(987,-1216,556,-685) -> Matrix(229,-8,4666,-163) Matrix(797,-988,338,-419) -> Matrix(173,-6,2624,-91) Matrix(2051,-2584,785,-989) -> Matrix(113,-4,1554,-55) Matrix(1747,-2204,302,-381) -> Matrix(227,-8,1504,-53) Matrix(721,-912,151,-191) -> Matrix(281,-10,2220,-79) Matrix(419,-532,89,-113) -> Matrix(167,-6,1364,-49) Matrix(835,-1064,299,-381) -> Matrix(111,-4,1360,-49) Matrix(1369,-1748,773,-987) -> Matrix(331,-12,6758,-245) Matrix(2317,-2964,684,-875) -> Matrix(53,-2,610,-23) Matrix(2849,-3648,624,-799) -> Matrix(55,-2,468,-17) Matrix(2431,-3116,653,-837) -> Matrix(111,-4,1138,-41) Matrix(1179,-1520,854,-1101) -> Matrix(55,-2,1348,-49) Matrix(1939,-2508,1145,-1481) -> Matrix(53,-2,1140,-43) Matrix(645,-836,206,-267) -> Matrix(55,-2,688,-25) Matrix(3457,-4484,616,-799) -> Matrix(55,-2,358,-13) Matrix(761,-988,409,-531) -> Matrix(221,-8,4282,-155) Matrix(2623,-3420,961,-1253) -> Matrix(163,-6,2092,-77) Matrix(989,-1292,581,-759) -> Matrix(109,-4,2262,-83) Matrix(115,-152,28,-37) -> Matrix(53,-2,504,-19) Matrix(113,-152,29,-39) -> Matrix(53,-2,504,-19) Matrix(951,-1292,251,-341) -> Matrix(363,-14,3656,-141) Matrix(1787,-2432,809,-1101) -> Matrix(259,-10,4170,-161) Matrix(3573,-4864,1060,-1443) -> Matrix(103,-4,1262,-49) Matrix(723,-988,472,-645) -> Matrix(51,-2,1250,-49) Matrix(3001,-4104,1140,-1559) -> Matrix(51,-2,740,-29) Matrix(2887,-3952,778,-1065) -> Matrix(511,-20,5340,-209) Matrix(2053,-2812,1109,-1519) -> Matrix(611,-24,11940,-469) Matrix(609,-836,110,-151) -> Matrix(101,-4,682,-27) Matrix(607,-836,387,-533) -> Matrix(1,0,-2,1) Matrix(2203,-3040,937,-1293) -> Matrix(99,-4,1510,-61) Matrix(989,-1368,274,-379) -> Matrix(1,0,-16,1) Matrix(493,-684,302,-419) -> Matrix(51,-2,1148,-45) Matrix(647,-912,188,-265) -> Matrix(149,-6,1664,-67) Matrix(2205,-3116,806,-1139) -> Matrix(1,0,-12,1) Matrix(2203,-3116,1344,-1901) -> Matrix(1,0,-2,1) Matrix(2089,-2964,456,-647) -> Matrix(49,-2,466,-19) Matrix(1445,-2052,588,-835) -> Matrix(197,-8,2832,-115) Matrix(3421,-4864,908,-1291) -> Matrix(95,-4,974,-41) Matrix(3419,-4864,2191,-3117) -> Matrix(99,-4,2302,-93) Matrix(267,-380,26,-37) -> Matrix(49,-2,172,-7) Matrix(531,-760,160,-229) -> Matrix(1,0,-12,1) Matrix(1217,-1748,793,-1139) -> Matrix(1,0,-2,1) Matrix(1215,-1748,212,-305) -> Matrix(101,-4,682,-27) Matrix(949,-1368,607,-875) -> Matrix(49,-2,1152,-47) Matrix(419,-608,235,-341) -> Matrix(47,-2,964,-41) Matrix(417,-608,131,-191) -> Matrix(49,-2,564,-23) Matrix(569,-836,130,-191) -> Matrix(47,-2,400,-17) Matrix(837,-1292,344,-531) -> Matrix(93,-4,1372,-59) Matrix(835,-1292,148,-229) -> Matrix(1,0,-16,1) Matrix(685,-1064,244,-379) -> Matrix(1,0,-12,1) Matrix(683,-1064,147,-229) -> Matrix(95,-4,784,-33) Matrix(4673,-7296,1680,-2623) -> Matrix(139,-6,1784,-77) Matrix(1977,-3116,578,-911) -> Matrix(1,0,-12,1) Matrix(4143,-6536,2384,-3761) -> Matrix(139,-6,2896,-125) Matrix(2167,-3420,505,-797) -> Matrix(139,-6,1228,-53) Matrix(721,-1140,265,-419) -> Matrix(139,-6,1784,-77) Matrix(191,-304,71,-113) -> Matrix(45,-2,608,-27) Matrix(1747,-2812,520,-837) -> Matrix(89,-4,1046,-47) Matrix(2545,-4104,684,-1103) -> Matrix(43,-2,452,-21) Matrix(2167,-3496,918,-1481) -> Matrix(137,-6,2078,-91) Matrix(1597,-2584,610,-987) -> Matrix(89,-4,1224,-55) Matrix(797,-1292,446,-723) -> Matrix(43,-2,882,-41) Matrix(607,-988,94,-153) -> Matrix(89,-4,512,-23) Matrix(5129,-8360,1516,-2471) -> Matrix(41,-2,472,-23) Matrix(1025,-1672,583,-951) -> Matrix(47,-2,964,-41) Matrix(2319,-3800,440,-721) -> Matrix(45,-2,338,-15) Matrix(1899,-3116,788,-1293) -> Matrix(179,-8,2618,-117) Matrix(647,-1064,346,-569) -> Matrix(223,-10,4304,-193) Matrix(645,-1064,254,-419) -> Matrix(221,-10,3072,-139) Matrix(1217,-2052,360,-607) -> Matrix(173,-8,1968,-91) Matrix(989,-1672,404,-683) -> Matrix(257,-12,3748,-175) Matrix(2735,-4636,1256,-2129) -> Matrix(259,-12,4252,-197) Matrix(761,-1292,268,-455) -> Matrix(85,-4,1084,-51) Matrix(2319,-3952,1315,-2241) -> Matrix(47,-2,964,-41) Matrix(4369,-7448,1182,-2015) -> Matrix(47,-2,494,-21) Matrix(6231,-10640,2582,-4409) -> Matrix(431,-20,6228,-289) Matrix(1823,-3116,712,-1217) -> Matrix(171,-8,2330,-109) Matrix(265,-456,111,-191) -> Matrix(127,-6,1884,-89) Matrix(571,-988,241,-417) -> Matrix(293,-14,4416,-211) Matrix(569,-988,110,-191) -> Matrix(125,-6,896,-43) Matrix(14515,-25232,5553,-9653) -> Matrix(83,-4,1100,-53) Matrix(13375,-23256,4896,-8513) -> Matrix(1,0,-8,1) Matrix(873,-1520,197,-343) -> Matrix(41,-2,390,-19) Matrix(1291,-2280,560,-989) -> Matrix(575,-28,8892,-433) Matrix(2699,-4788,792,-1405) -> Matrix(41,-2,390,-19) Matrix(3991,-7144,2186,-3913) -> Matrix(121,-6,2400,-119) Matrix(5813,-10412,1719,-3079) -> Matrix(203,-10,2294,-113) Matrix(721,-1292,149,-267) -> Matrix(121,-6,948,-47) Matrix(419,-760,188,-341) -> Matrix(279,-14,4484,-225) Matrix(3041,-5548,541,-987) -> Matrix(79,-4,494,-25) Matrix(8703,-15884,3185,-5813) -> Matrix(197,-10,2502,-127) Matrix(1331,-2432,353,-645) -> Matrix(199,-10,2010,-101) Matrix(455,-836,166,-305) -> Matrix(79,-4,968,-49) Matrix(2507,-4636,1028,-1901) -> Matrix(235,-12,3388,-173) Matrix(647,-1216,141,-265) -> Matrix(115,-6,1016,-53) Matrix(1445,-2736,441,-835) -> Matrix(229,-12,2500,-131) Matrix(39,-76,19,-37) -> Matrix(37,-2,648,-35) Matrix(609,-1292,107,-227) -> Matrix(135,-8,962,-57) Matrix(607,-1292,179,-381) -> Matrix(135,-8,1502,-89) Matrix(495,-1064,194,-417) -> Matrix(167,-10,2288,-137) Matrix(1293,-2812,349,-759) -> Matrix(395,-24,4164,-253) Matrix(1255,-2736,261,-569) -> Matrix(361,-22,2806,-171) Matrix(835,-1824,244,-533) -> Matrix(65,-4,764,-47) Matrix(3953,-8740,1512,-3343) -> Matrix(65,-4,894,-55) Matrix(3229,-7144,739,-1635) -> Matrix(33,-2,248,-15) Matrix(343,-760,51,-113) -> Matrix(97,-6,566,-35) Matrix(647,-1444,289,-645) -> Matrix(417,-26,6656,-415) Matrix(569,-1292,218,-495) -> Matrix(31,-2,450,-29) Matrix(267,-608,83,-189) -> Matrix(31,-2,388,-25) Matrix(531,-1216,100,-229) -> Matrix(125,-8,922,-59) Matrix(761,-1748,165,-379) -> Matrix(187,-12,1574,-101) Matrix(2509,-5776,1089,-2507) -> Matrix(1117,-72,17298,-1115) Matrix(1711,-3952,707,-1633) -> Matrix(31,-2,388,-25) Matrix(229,-532,65,-151) -> Matrix(61,-4,656,-43) Matrix(2775,-6536,1016,-2393) -> Matrix(91,-6,1168,-77) Matrix(1483,-3572,394,-949) -> Matrix(205,-14,2094,-143) Matrix(9577,-23104,3969,-9575) -> Matrix(697,-48,10092,-695) Matrix(913,-2204,157,-379) -> Matrix(115,-8,762,-53) Matrix(2545,-6156,456,-1103) -> Matrix(27,-2,176,-13) Matrix(533,-1292,125,-303) -> Matrix(61,-4,534,-35) Matrix(2091,-5092,733,-1785) -> Matrix(29,-2,392,-27) Matrix(5053,-12312,1482,-3611) -> Matrix(29,-2,392,-27) Matrix(2243,-5472,389,-949) -> Matrix(31,-2,202,-13) Matrix(685,-1672,93,-227) -> Matrix(59,-4,310,-21) Matrix(2357,-5776,961,-2355) -> Matrix(581,-40,8410,-579) Matrix(987,-2432,278,-685) -> Matrix(1,0,-4,1) Matrix(571,-1444,225,-569) -> Matrix(197,-14,2744,-195) Matrix(1103,-2812,253,-645) -> Matrix(83,-6,678,-49) Matrix(2851,-7296,846,-2165) -> Matrix(27,-2,338,-25) Matrix(1215,-3116,356,-913) -> Matrix(1,0,-2,1) Matrix(265,-684,74,-191) -> Matrix(27,-2,284,-21) Matrix(4333,-11324,1221,-3191) -> Matrix(55,-4,564,-41) Matrix(2205,-5776,841,-2203) -> Matrix(109,-8,1458,-107) Matrix(607,-1596,116,-305) -> Matrix(1,0,-6,1) Matrix(721,-1900,159,-419) -> Matrix(27,-2,230,-17) Matrix(115,-304,14,-37) -> Matrix(27,-2,122,-9) Matrix(63955,-174724,23409,-63953) -> Matrix(27,-2,338,-25) Matrix(303,-836,83,-229) -> Matrix(1,0,-2,1) Matrix(493,-1368,151,-419) -> Matrix(25,-2,288,-23) Matrix(4675,-12996,1681,-4673) -> Matrix(79,-6,1014,-77) Matrix(1747,-4864,519,-1445) -> Matrix(51,-4,574,-45) Matrix(2053,-5776,729,-2051) -> Matrix(1,0,6,1) Matrix(1939,-5472,444,-1253) -> Matrix(27,-2,230,-17) Matrix(1975,-5624,374,-1065) -> Matrix(49,-4,380,-31) Matrix(343,-988,92,-265) -> Matrix(23,-2,242,-21) Matrix(531,-1672,121,-381) -> Matrix(1,0,-4,1) Matrix(1787,-5852,313,-1025) -> Matrix(111,-10,766,-69) Matrix(647,-2128,173,-569) -> Matrix(19,-2,200,-21) Matrix(761,-2508,115,-379) -> Matrix(1,0,-4,1) Matrix(1749,-5776,529,-1747) -> Matrix(1,0,8,1) Matrix(227,-760,23,-77) -> Matrix(1,0,-8,1) Matrix(2469,-8284,442,-1483) -> Matrix(71,-6,438,-37) Matrix(3877,-13224,735,-2507) -> Matrix(1,0,-4,1) Matrix(419,-1444,121,-417) -> Matrix(111,-10,1210,-109) Matrix(683,-2432,107,-381) -> Matrix(81,-8,476,-47) Matrix(1597,-5776,441,-1595) -> Matrix(1,0,4,1) Matrix(419,-1520,94,-341) -> Matrix(23,-2,196,-17) Matrix(761,-2812,82,-303) -> Matrix(85,-8,372,-35) Matrix(6233,-23104,1681,-6231) -> Matrix(1093,-104,11466,-1091) Matrix(343,-1444,81,-341) -> Matrix(163,-18,1458,-161) Matrix(229,-988,35,-151) -> Matrix(35,-4,184,-21) Matrix(189,-836,26,-115) -> Matrix(17,-2,94,-11) Matrix(2851,-12996,625,-2849) -> Matrix(17,-2,128,-15) Matrix(267,-1444,49,-265) -> Matrix(99,-14,686,-97) Matrix(571,-3192,61,-341) -> Matrix(11,-2,50,-9) Matrix(191,-1444,25,-189) -> Matrix(51,-10,250,-49) 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 elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 60 Imminent integer overflow caused the modular group computation to abort.