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): 2520 Minimal number of generators: 421 Number of equivalence classes of cusps: 84 Genus: 169 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 1/1 29/25 29/24 29/23 87/68 29/22 29/21 145/101 29/20 3/2 87/55 29/18 145/89 29/17 29/16 2/1 15/7 29/13 116/51 116/49 29/12 5/2 116/45 145/56 290/111 377/144 29/11 87/32 58/21 3/1 29/9 145/44 58/17 7/2 203/57 290/81 18/5 29/8 290/77 58/15 4/1 29/7 21/5 232/55 116/27 13/3 9/2 87/19 116/25 14/3 19/4 24/5 29/6 5/1 26/5 21/4 58/11 16/3 27/5 11/2 28/5 17/3 23/4 29/5 6/1 25/4 19/3 13/2 33/5 20/3 27/4 7/1 29/4 22/3 15/2 23/3 8/1 17/2 9/1 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 -7/20 -1/3 -9/1 -1/3 -4/13 -17/2 -3/10 -8/1 -3/11 -1/4 -15/2 -1/4 -37/5 -6/23 -7/27 -22/3 -13/51 -1/4 -29/4 -1/4 -7/1 -1/4 -4/17 -20/3 -1/4 -5/21 -33/5 -4/17 -3/13 -46/7 -5/22 -7/31 -13/2 -5/22 -19/3 -2/9 -1/5 -6/1 -3/14 -1/5 -29/5 -1/5 -23/4 -11/56 -17/3 -1/5 -4/21 -11/2 -1/6 -27/5 -1/5 -4/21 -16/3 -1/5 -3/16 -21/4 -5/28 -5/1 -2/11 -1/6 -29/6 -1/6 -24/5 -1/6 -9/55 -19/4 -7/44 -14/3 -1/6 -1/7 -51/11 -2/13 -3/20 -37/8 -1/6 -60/13 -5/34 -1/7 -23/5 -1/5 0/1 -55/12 -1/6 -87/19 -1/6 -32/7 -1/6 -5/31 -9/2 -1/6 -31/7 -2/13 -1/7 -22/5 -1/6 -1/7 -13/3 -1/7 0/1 -30/7 -1/6 -1/7 -17/4 -1/6 -21/5 -4/27 -1/7 -46/11 -3/20 -1/7 -25/6 -7/48 -29/7 -1/7 -4/1 -1/7 -1/8 -23/6 -1/6 -19/5 -2/15 -3/23 -34/9 -1/8 -1/9 -15/4 -1/8 -41/11 -1/7 -2/15 -67/18 -1/8 -26/7 -1/8 -1/9 -63/17 -1/8 0/1 -37/10 -1/6 -11/3 -2/15 -1/8 -29/8 -1/8 -18/5 -1/8 -3/25 -61/17 -3/25 -2/17 -43/12 -1/8 -25/7 -3/25 -2/17 -7/2 -1/8 -31/9 -2/17 -1/9 -24/7 -1/9 -1/10 -17/5 -1/7 0/1 -27/8 -1/8 -64/19 -1/8 -3/25 -101/30 -1/8 -37/11 -3/25 -2/17 -10/3 -1/8 -1/9 -33/10 -3/26 -89/27 -8/71 -1/9 -145/44 -1/9 -56/17 -1/9 -5/46 -23/7 -1/11 0/1 -13/4 -1/8 -29/9 -1/9 -16/5 -1/9 -1/10 -19/6 -1/12 -3/1 -1/9 0/1 -23/8 -1/8 -20/7 -1/10 -1/11 -57/20 -3/20 -37/13 -2/17 -1/9 -17/6 -1/10 -14/5 -1/9 -1/10 -39/14 -3/32 -25/9 -2/21 -1/11 -61/22 -1/12 -36/13 -1/12 -1/13 -11/4 -1/8 -41/15 -1/9 -2/19 -30/11 -1/8 -1/9 -79/29 -1/9 -2/19 -128/47 -1/9 -1/10 -49/18 -1/10 -68/25 -1/8 -1/9 -87/32 -1/9 -19/7 -1/9 -2/19 -27/10 -1/10 -35/13 -1/9 -2/19 -43/16 -1/10 -8/3 -1/9 -1/10 -29/11 -1/10 -21/8 -1/10 -97/37 -11/115 -2/21 -76/29 -1/10 -1/11 -55/21 -2/21 -1/11 -34/13 -1/10 -1/11 -13/5 -1/11 0/1 -70/27 -1/9 -3/28 -57/22 -9/88 -101/39 -16/159 -1/10 -145/56 -1/10 -44/17 -1/10 -7/71 -31/12 -1/10 -49/19 -3/31 -2/21 -18/7 -1/10 -1/11 -77/30 -13/136 -59/23 -2/21 -1/11 -41/16 -3/32 -23/9 -1/11 0/1 -28/11 -5/54 -1/11 -61/24 -3/34 -33/13 -1/11 0/1 -38/15 -1/12 -1/13 -5/2 -1/10 -32/13 -3/32 -1/11 -27/11 -1/11 0/1 -22/9 -1/10 -1/11 -61/25 -2/21 -1/11 -39/16 -5/52 -56/23 -3/32 -7/75 -17/7 -4/43 -1/11 -29/12 -1/11 -12/5 -1/11 -3/34 -67/28 -3/34 -55/23 -2/23 -3/35 -43/18 -1/12 -74/31 -1/11 -1/12 -31/13 -1/11 -2/23 -19/8 -5/56 -45/19 -9/103 -2/23 -26/11 -3/35 -1/12 -7/3 -1/12 0/1 -37/16 -1/10 -30/13 -1/11 -1/12 -23/10 -3/34 -39/17 -1/13 0/1 -16/7 -1/11 -3/34 -73/32 -3/34 -57/25 -1/11 -2/23 -41/18 -3/34 -66/29 -7/80 -9/103 -25/11 -2/23 -7/81 -59/26 -19/222 -34/15 -5/59 -1/12 -9/4 -1/12 -29/13 -1/12 -20/9 -1/12 -7/85 -31/14 -1/12 -11/5 -1/12 -2/25 -13/6 -1/12 -15/7 -1/12 0/1 -2/1 -1/13 -1/14 -17/9 -1/15 0/1 -15/8 -1/14 -28/15 -1/14 -1/15 -13/7 -1/15 0/1 -24/13 -1/14 -1/15 -35/19 -11/159 -2/29 -46/25 -9/131 -7/102 -11/6 -3/44 -31/17 -6/89 -1/15 -20/11 -9/134 -1/15 -29/16 -1/15 -9/5 -1/15 -4/61 -52/29 -7/107 -3/46 -43/24 -3/46 -34/19 -3/46 -5/77 -59/33 -1/15 -2/31 -25/14 -7/108 -116/65 -2/31 -91/51 -2/31 -23/357 -66/37 -9/140 -7/109 -41/23 -2/31 -3/47 -57/32 -11/174 -16/9 -1/15 -1/16 -39/22 -5/78 -23/13 -1/15 0/1 -30/17 -1/15 -5/76 -37/21 -1/15 -2/31 -7/4 -1/16 -33/19 -1/17 0/1 -59/34 -7/104 -85/49 -1/15 -6/91 -26/15 -1/15 -3/46 -71/41 -13/201 -2/31 -116/67 -2/31 -45/26 -9/140 -19/11 -2/31 -3/47 -31/18 -1/16 -43/25 -1/16 -2/33 -55/32 -3/46 -122/71 -7/109 -5/78 -67/39 -2/31 -3/47 -12/7 -5/79 -1/16 -29/17 -1/16 -17/10 -1/16 -56/33 -11/178 -5/81 -95/56 -9/146 -39/23 -4/65 -11/179 -22/13 -1/16 -1/17 -27/16 -1/16 -32/19 -1/16 -1/17 -5/3 -1/16 -2/33 -33/20 -1/16 -28/17 -3/50 -1/17 -23/14 -5/84 -41/25 -1/17 -2/35 -59/36 -3/56 -136/83 -1/22 -1/23 -77/47 -1/11 0/1 -18/11 -1/16 -1/17 -67/41 -3/49 -2/33 -116/71 -2/33 -49/30 -3/50 -31/19 -2/33 -1/17 -44/27 -1/16 -1/17 -145/89 -1/16 -101/62 -1/16 -57/35 -3/49 -2/33 -70/43 -5/83 -3/50 -13/8 -3/50 -47/29 -3/50 -4/67 -128/79 -15/251 -19/318 -209/129 -55/921 -4/67 -290/179 -4/67 -81/50 -21/352 -34/21 -5/84 -1/17 -89/55 -8/135 -1/17 -233/144 -21/356 -377/233 -1/17 -144/89 -1/17 -5/86 -55/34 -3/50 -76/47 -5/84 -11/185 -97/60 -31/522 -21/13 -8/135 -1/17 -29/18 -1/17 -8/5 -1/17 -3/52 -35/22 -1/16 -62/39 -1/17 -1/18 -27/17 -1/17 0/1 -19/12 -3/50 -87/55 -1/17 -68/43 -1/17 -17/290 -49/31 -1/17 -6/103 -128/81 -5/86 -9/155 -79/50 -5/86 -30/19 -1/17 -3/52 -11/7 -3/52 -2/35 -58/37 -2/35 -47/30 -13/228 -36/23 -5/88 -3/53 -61/39 -2/35 -3/53 -86/55 -5/88 -3/53 -25/16 -1/18 -14/9 -5/89 -1/18 -31/20 -1/18 -17/11 -1/17 0/1 -20/13 -5/88 -3/53 -43/28 -1/18 -23/15 -3/53 -4/71 -3/2 -1/18 -22/15 -1/17 -1/18 -19/13 -2/37 -5/93 -16/11 -5/94 -1/19 -29/20 -1/19 -13/9 -1/19 -4/77 -36/25 -1/19 -3/58 -95/66 -3/58 -59/41 -1/19 -2/39 -82/57 -3/58 -5/97 -23/16 -5/98 -56/39 -7/139 -1/20 -145/101 -1/20 -89/62 -1/20 -33/23 -1/21 0/1 -43/30 -1/20 -53/37 -1/22 0/1 -10/7 -1/18 -1/19 -57/40 -17/326 -104/73 -9/173 -13/250 -47/33 -4/77 -3/58 -37/26 -1/20 -101/71 -1/20 0/1 -64/45 -1/18 -1/19 -27/19 -1/19 -4/77 -44/31 -1/19 -3/58 -17/12 -3/58 -58/41 -2/39 -41/29 -2/39 -7/137 -24/17 -3/59 -1/20 -55/39 -2/39 -3/59 -86/61 -3/59 -1/20 -31/22 -1/20 -38/27 -1/20 -1/21 -7/5 -1/20 0/1 -32/23 -3/59 -1/20 -89/64 -1/20 -146/105 -1/19 -1/20 -203/146 -1/19 -57/41 -1/19 -2/39 -25/18 -5/98 -68/49 -3/59 -1/20 -179/129 -15/296 -4/79 -290/209 -4/79 -111/80 -9/178 -43/31 -6/119 -1/20 -61/44 -5/98 -18/13 -5/99 -1/20 -29/21 -1/20 -11/8 -1/20 -48/35 -1/20 -1/21 -37/27 -3/61 -2/41 -26/19 -1/20 -1/21 -41/30 -1/20 -56/41 -1/21 -1/22 -15/11 -1/20 0/1 -64/47 -1/21 -1/22 -177/130 -1/26 -290/213 0/1 -113/83 -1/17 0/1 -49/36 -1/20 -34/25 -3/59 -1/20 -19/14 -5/102 -23/17 -1/21 0/1 -27/20 -1/20 -58/43 -2/41 -31/23 -2/41 -1/21 -4/3 -1/20 -1/21 -29/22 -1/21 -25/19 -1/21 -6/127 -46/35 -7/149 -3/64 -21/16 -3/64 -59/45 -5/107 -2/43 -97/74 -19/408 -232/177 -2/43 -135/103 -2/43 -27/581 -38/29 -5/108 -3/65 -17/13 -1/21 0/1 -30/23 -1/21 -3/64 -73/56 -3/64 -116/89 -2/43 -43/33 -2/43 -1/22 -13/10 -1/22 -35/27 -5/107 -2/43 -92/71 -7/151 -5/108 -57/44 -13/282 -79/61 -5/109 -6/131 -22/17 -1/22 -1/23 -31/24 -1/22 -9/7 -1/21 0/1 -41/32 -1/22 -32/25 -1/21 -1/22 -87/68 -1/21 -55/43 -1/21 -2/43 -23/18 -3/64 -60/47 -1/22 -3/67 -97/76 -1/26 -37/29 -1/21 -2/43 -51/40 -3/64 -116/91 -2/43 -65/51 -2/43 -5/108 -14/11 -3/65 -1/22 -33/26 -1/22 -85/67 -1/21 -6/127 -52/41 -1/21 -1/22 -19/15 -1/21 -2/43 -24/19 -5/109 -1/22 -29/23 -1/22 -5/4 -1/22 -26/21 -1/23 -1/24 -21/17 -1/25 0/1 -58/47 0/1 -37/30 -1/18 -16/13 -1/21 -1/22 -59/48 -11/240 -43/35 -1/22 -6/133 -27/22 -1/22 -11/9 -1/22 -2/45 -28/23 -1/22 -1/23 -17/14 -1/22 -23/19 -4/91 -1/23 -29/24 -1/23 -6/5 -1/23 -1/24 -31/26 -1/24 -25/21 -2/49 -1/25 -19/16 -3/74 -13/11 -1/21 0/1 -46/39 -3/68 -1/23 -33/28 -1/24 -53/45 -1/24 0/1 -73/62 -1/22 -20/17 -3/68 -1/23 -27/23 -1/23 0/1 -7/6 -1/24 -29/25 -1/24 -22/19 -1/24 -3/73 -37/32 -1/24 -15/13 -1/24 0/1 -53/46 -3/74 -38/33 -1/24 -3/73 -23/20 -3/74 -8/7 -1/25 -1/26 -17/15 -1/23 0/1 -9/8 -1/24 -10/9 -1/25 -1/26 -11/10 -1/26 -12/11 -1/23 -1/24 -1/1 -1/27 0/1 0/1 0/1 1/1 0/1 1/27 10/9 1/26 1/25 9/8 1/24 17/15 0/1 1/23 8/7 1/26 1/25 15/13 0/1 1/24 37/32 1/24 22/19 3/73 1/24 29/25 1/24 7/6 1/24 20/17 1/23 3/68 33/28 1/24 46/39 1/23 3/68 13/11 0/1 1/21 19/16 3/74 6/5 1/24 1/23 29/24 1/23 23/19 1/23 4/91 17/14 1/22 11/9 2/45 1/22 27/22 1/22 16/13 1/22 1/21 21/17 0/1 1/25 5/4 1/22 29/23 1/22 24/19 1/22 5/109 19/15 2/43 1/21 14/11 1/22 3/65 51/40 3/64 37/29 2/43 1/21 60/47 3/67 1/22 23/18 3/64 55/43 2/43 1/21 87/68 1/21 32/25 1/22 1/21 9/7 0/1 1/21 31/24 1/22 22/17 1/23 1/22 13/10 1/22 30/23 3/64 1/21 17/13 0/1 1/21 21/16 3/64 46/35 3/64 7/149 25/19 6/127 1/21 29/22 1/21 4/3 1/21 1/20 23/17 0/1 1/21 19/14 5/102 34/25 1/20 3/59 15/11 0/1 1/20 41/30 1/20 67/49 1/21 2/41 26/19 1/21 1/20 63/46 3/62 37/27 2/41 3/61 11/8 1/20 29/21 1/20 18/13 1/20 5/99 61/44 5/98 43/31 1/20 6/119 25/18 5/98 7/5 0/1 1/20 31/22 1/20 24/17 1/20 3/59 17/12 3/58 27/19 4/77 1/19 64/45 1/19 1/18 101/71 0/1 1/20 37/26 1/20 10/7 1/19 1/18 33/23 0/1 1/21 89/62 1/20 145/101 1/20 56/39 1/20 7/139 23/16 5/98 13/9 4/77 1/19 29/20 1/19 16/11 1/19 5/94 19/13 5/93 2/37 3/2 1/18 23/15 4/71 3/53 20/13 3/53 5/88 57/37 2/35 5/87 37/24 3/52 17/11 0/1 1/17 14/9 1/18 5/89 39/25 4/71 3/53 25/16 1/18 61/39 3/53 2/35 36/23 3/53 5/88 11/7 2/35 3/52 41/26 3/52 30/19 3/52 1/17 79/50 5/86 128/81 9/155 5/86 49/31 6/103 1/17 68/43 17/290 1/17 87/55 1/17 19/12 3/50 27/17 0/1 1/17 35/22 1/16 43/27 1/18 2/35 8/5 3/52 1/17 29/18 1/17 21/13 1/17 8/135 97/60 31/522 76/47 11/185 5/84 55/34 3/50 34/21 1/17 5/84 13/8 3/50 70/43 3/50 5/83 57/35 2/33 3/49 101/62 1/16 145/89 1/16 44/27 1/17 1/16 31/19 1/17 2/33 49/30 3/50 18/11 1/17 1/16 77/47 0/1 1/11 59/36 3/56 41/25 2/35 1/17 23/14 5/84 28/17 1/17 3/50 61/37 1/17 2/33 33/20 1/16 38/23 1/17 5/84 5/3 2/33 1/16 32/19 1/17 1/16 27/16 1/16 22/13 1/17 1/16 61/36 1/16 39/23 11/179 4/65 56/33 5/81 11/178 17/10 1/16 29/17 1/16 12/7 1/16 5/79 67/39 3/47 2/31 55/32 3/46 43/25 2/33 1/16 74/43 1/16 5/79 31/18 1/16 19/11 3/47 2/31 45/26 9/140 26/15 3/46 1/15 7/4 1/16 37/21 2/31 1/15 30/17 5/76 1/15 23/13 0/1 1/15 39/22 5/78 16/9 1/16 1/15 73/41 6/97 1/16 57/32 11/174 41/23 3/47 2/31 66/37 7/109 9/140 25/14 7/108 59/33 2/31 1/15 34/19 5/77 3/46 9/5 4/61 1/15 29/16 1/15 20/11 1/15 9/134 31/17 1/15 6/89 11/6 3/44 13/7 0/1 1/15 15/8 1/14 2/1 1/14 1/13 17/8 1/12 15/7 0/1 1/12 28/13 1/14 1/13 13/6 1/12 24/11 1/13 3/38 35/16 11/138 46/21 9/112 7/87 11/5 2/25 1/12 31/14 1/12 20/9 7/85 1/12 29/13 1/12 9/4 1/12 52/23 3/34 1/11 43/19 1/12 2/23 34/15 1/12 5/59 59/26 19/222 25/11 7/81 2/23 116/51 2/23 91/40 23/264 66/29 9/103 7/80 41/18 3/34 57/25 2/23 1/11 16/7 3/34 1/11 39/17 0/1 1/13 23/10 3/34 30/13 1/12 1/11 37/16 1/10 7/3 0/1 1/12 33/14 5/58 59/25 2/23 1/11 85/36 1/12 26/11 1/12 3/35 71/30 13/150 116/49 2/23 45/19 2/23 9/103 19/8 5/56 31/13 2/23 1/11 43/18 1/12 55/23 3/35 2/23 122/51 7/80 5/57 67/28 3/34 12/5 3/34 1/11 29/12 1/11 17/7 1/11 4/43 56/23 7/75 3/32 95/39 8/85 5/53 39/16 5/52 22/9 1/11 1/10 27/11 0/1 1/11 32/13 1/11 3/32 5/2 1/10 33/13 0/1 1/11 28/11 1/11 5/54 23/9 0/1 1/11 41/16 3/32 59/23 1/11 2/21 136/53 9/95 11/116 77/30 13/136 18/7 1/11 1/10 67/26 3/32 116/45 2/21 49/19 2/21 3/31 31/12 1/10 44/17 7/71 1/10 145/56 1/10 101/39 1/10 16/159 57/22 9/88 70/27 3/28 1/9 13/5 0/1 1/11 47/18 3/32 128/49 7/74 9/95 209/80 27/284 290/111 2/21 81/31 2/21 11/115 34/13 1/11 1/10 89/34 1/10 233/89 0/1 1/11 377/144 1/11 144/55 1/11 1/10 55/21 1/11 2/21 76/29 1/11 1/10 97/37 2/21 11/115 21/8 1/10 29/11 1/10 8/3 1/10 1/9 35/13 2/19 1/9 62/23 1/10 1/9 27/10 1/10 19/7 2/19 1/9 87/32 1/9 68/25 1/9 1/8 49/18 1/10 128/47 1/10 1/9 79/29 2/19 1/9 30/11 1/9 1/8 11/4 1/8 58/21 0/1 47/17 0/1 1/16 36/13 1/13 1/12 61/22 1/12 86/31 1/11 7/76 25/9 1/11 2/21 14/5 1/10 1/9 31/11 2/19 1/9 17/6 1/10 20/7 1/11 1/10 43/15 1/10 2/19 23/8 1/8 3/1 0/1 1/9 22/7 1/10 1/9 19/6 1/12 16/5 1/10 1/9 29/9 1/9 13/4 1/8 36/11 3/25 1/8 95/29 4/31 3/23 59/18 5/36 82/25 1/6 1/5 23/7 0/1 1/11 56/17 5/46 1/9 145/44 1/9 89/27 1/9 8/71 33/10 3/26 43/13 1/8 2/15 53/16 1/6 10/3 1/9 1/8 57/17 2/17 3/25 104/31 3/26 5/43 47/14 1/8 37/11 2/17 3/25 101/30 1/8 64/19 3/25 1/8 27/8 1/8 44/13 1/8 5/39 17/5 0/1 1/7 58/17 0/1 41/12 1/12 24/7 1/10 1/9 55/16 3/28 86/25 11/100 1/9 31/9 1/9 2/17 38/11 1/9 5/44 7/2 1/8 32/9 1/10 1/9 89/25 4/37 1/9 146/41 17/154 1/9 203/57 1/9 57/16 9/80 25/7 2/17 3/25 68/19 1/9 3/26 179/50 7/60 290/81 2/17 111/31 2/17 5/42 43/12 1/8 61/17 2/17 3/25 18/5 3/25 1/8 29/8 1/8 11/3 1/8 2/15 48/13 1/7 3/20 37/10 1/6 26/7 1/9 1/8 41/11 2/15 1/7 56/15 1/8 3/23 15/4 1/8 64/17 1/8 3/23 177/47 11/83 2/15 290/77 2/15 113/30 7/52 49/13 2/15 1/7 34/9 1/9 1/8 19/5 3/23 2/15 23/6 1/6 27/7 0/1 1/7 58/15 0/1 31/8 1/8 4/1 1/8 1/7 29/7 1/7 25/6 7/48 46/11 1/7 3/20 21/5 1/7 4/27 59/14 17/112 97/23 21/137 2/13 232/55 2/13 135/32 25/162 38/9 3/19 1/6 17/4 1/6 30/7 1/7 1/6 73/17 3/20 2/13 116/27 2/13 43/10 1/6 13/3 0/1 1/7 35/8 7/46 92/21 3/19 1/6 57/13 1/7 2/13 79/18 1/6 22/5 1/7 1/6 31/7 1/7 2/13 9/2 1/6 41/9 2/13 3/19 32/7 5/31 1/6 87/19 1/6 55/12 1/6 23/5 0/1 1/5 60/13 1/7 5/34 97/21 9/59 2/13 37/8 1/6 51/11 3/20 2/13 116/25 2/13 65/14 5/32 14/3 1/7 1/6 33/7 3/19 4/25 85/18 1/6 52/11 1/7 1/6 19/4 7/44 24/5 9/55 1/6 29/6 1/6 5/1 1/6 2/11 26/5 1/6 1/5 21/4 5/28 58/11 2/11 37/7 2/11 9/49 16/3 3/16 1/5 59/11 2/11 1/5 43/8 3/16 27/5 4/21 1/5 11/2 1/6 28/5 1/6 1/5 17/3 4/21 1/5 23/4 11/56 29/5 1/5 6/1 1/5 3/14 31/5 2/11 1/5 25/4 3/14 19/3 1/5 2/9 13/2 5/22 46/7 7/31 5/22 33/5 3/13 4/17 53/8 7/30 73/11 2/9 1/4 20/3 5/21 1/4 27/4 1/4 7/1 4/17 1/4 29/4 1/4 22/3 1/4 13/51 37/5 7/27 6/23 15/2 1/4 53/7 4/15 7/26 38/5 3/11 5/18 23/3 4/15 3/11 8/1 1/4 3/11 17/2 3/10 9/1 4/13 1/3 10/1 1/3 7/20 11/1 3/8 2/5 12/1 5/12 3/7 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(57,580,-40,-407) (-10/1,1/0) -> (-10/7,-57/40) Hyperbolic Matrix(117,1102,74,697) (-10/1,-9/1) -> (49/31,68/43) Hyperbolic Matrix(175,1508,128,1103) (-9/1,-17/2) -> (41/30,67/49) Hyperbolic Matrix(173,1450,76,637) (-17/2,-8/1) -> (66/29,41/18) Hyperbolic Matrix(59,464,-22,-173) (-8/1,-15/2) -> (-43/16,-8/3) Hyperbolic Matrix(579,4292,172,1275) (-15/2,-37/5) -> (37/11,101/30) Hyperbolic Matrix(465,3422,142,1045) (-37/5,-22/3) -> (36/11,95/29) Hyperbolic Matrix(175,1276,24,175) (-22/3,-29/4) -> (29/4,22/3) Hyperbolic Matrix(57,406,8,57) (-29/4,-7/1) -> (7/1,29/4) Hyperbolic Matrix(59,406,-42,-289) (-7/1,-20/3) -> (-38/27,-7/5) Hyperbolic Matrix(289,1914,-114,-755) (-20/3,-33/5) -> (-33/13,-38/15) Hyperbolic Matrix(405,2668,308,2029) (-33/5,-46/7) -> (46/35,25/19) Hyperbolic Matrix(231,1508,142,927) (-46/7,-13/2) -> (13/8,70/43) Hyperbolic Matrix(173,1102,100,637) (-13/2,-19/3) -> (19/11,45/26) Hyperbolic Matrix(175,1102,-138,-869) (-19/3,-6/1) -> (-52/41,-19/15) Hyperbolic Matrix(59,348,10,59) (-6/1,-29/5) -> (29/5,6/1) Hyperbolic Matrix(231,1334,40,231) (-29/5,-23/4) -> (23/4,29/5) Hyperbolic Matrix(233,1334,142,813) (-23/4,-17/3) -> (41/25,23/14) Hyperbolic Matrix(115,638,-42,-233) (-17/3,-11/2) -> (-11/4,-41/15) Hyperbolic Matrix(117,638,64,349) (-11/2,-27/5) -> (31/17,11/6) Hyperbolic Matrix(463,2494,-194,-1045) (-27/5,-16/3) -> (-74/31,-31/13) Hyperbolic Matrix(175,928,-142,-753) (-16/3,-21/4) -> (-37/30,-16/13) Hyperbolic Matrix(289,1508,-78,-407) (-21/4,-5/1) -> (-63/17,-37/10) Hyperbolic Matrix(59,290,12,59) (-5/1,-29/6) -> (29/6,5/1) Hyperbolic Matrix(289,1392,60,289) (-29/6,-24/5) -> (24/5,29/6) Hyperbolic Matrix(231,1102,170,811) (-24/5,-19/4) -> (19/14,34/25) Hyperbolic Matrix(173,812,-62,-291) (-19/4,-14/3) -> (-14/5,-39/14) Hyperbolic Matrix(349,1624,-274,-1275) (-14/3,-51/11) -> (-65/51,-14/11) Hyperbolic Matrix(463,2146,200,927) (-51/11,-37/8) -> (37/16,7/3) Hyperbolic Matrix(1683,7772,-992,-4581) (-37/8,-60/13) -> (-56/33,-95/56) Hyperbolic Matrix(579,2668,176,811) (-60/13,-23/5) -> (23/7,56/17) Hyperbolic Matrix(291,1334,190,871) (-23/5,-55/12) -> (3/2,23/15) Hyperbolic Matrix(2089,9570,456,2089) (-55/12,-87/19) -> (87/19,55/12) Hyperbolic Matrix(1217,5568,266,1217) (-87/19,-32/7) -> (32/7,87/19) Hyperbolic Matrix(521,2378,-140,-639) (-32/7,-9/2) -> (-67/18,-26/7) Hyperbolic Matrix(405,1798,248,1101) (-9/2,-31/7) -> (31/19,49/30) Hyperbolic Matrix(289,1276,118,521) (-31/7,-22/5) -> (22/9,27/11) Hyperbolic Matrix(173,754,-120,-523) (-22/5,-13/3) -> (-13/9,-36/25) Hyperbolic Matrix(175,754,-94,-405) (-13/3,-30/7) -> (-28/15,-13/7) Hyperbolic Matrix(407,1740,258,1103) (-30/7,-17/4) -> (41/26,30/19) Hyperbolic Matrix(233,986,-82,-347) (-17/4,-21/5) -> (-37/13,-17/6) Hyperbolic Matrix(1509,6322,554,2321) (-21/5,-46/11) -> (128/47,79/29) Hyperbolic Matrix(639,2668,542,2263) (-46/11,-25/6) -> (33/28,46/39) Hyperbolic Matrix(349,1450,84,349) (-25/6,-29/7) -> (29/7,25/6) Hyperbolic Matrix(57,232,14,57) (-29/7,-4/1) -> (4/1,29/7) Hyperbolic Matrix(407,1566,-256,-985) (-4/1,-23/6) -> (-35/22,-62/39) Hyperbolic Matrix(349,1334,152,581) (-23/6,-19/5) -> (39/17,23/10) Hyperbolic Matrix(291,1102,230,871) (-19/5,-34/9) -> (24/19,19/15) Hyperbolic Matrix(523,1972,-292,-1101) (-34/9,-15/4) -> (-43/24,-34/19) Hyperbolic Matrix(233,870,-124,-463) (-15/4,-41/11) -> (-17/9,-15/8) Hyperbolic Matrix(405,1508,358,1333) (-41/11,-67/18) -> (9/8,17/15) Hyperbolic Matrix(579,2146,344,1275) (-26/7,-63/17) -> (5/3,32/19) Hyperbolic Matrix(581,2146,-408,-1507) (-37/10,-11/3) -> (-47/33,-37/26) Hyperbolic Matrix(175,638,48,175) (-11/3,-29/8) -> (29/8,11/3) Hyperbolic Matrix(289,1044,80,289) (-29/8,-18/5) -> (18/5,29/8) Hyperbolic Matrix(1567,5626,598,2147) (-18/5,-61/17) -> (55/21,76/29) Hyperbolic Matrix(1391,4988,582,2087) (-61/17,-43/12) -> (43/18,55/23) Hyperbolic Matrix(697,2494,-486,-1739) (-43/12,-25/7) -> (-33/23,-43/30) Hyperbolic Matrix(115,406,-66,-233) (-25/7,-7/2) -> (-7/4,-33/19) Hyperbolic Matrix(117,406,-100,-347) (-7/2,-31/9) -> (-27/23,-7/6) Hyperbolic Matrix(929,3190,-574,-1971) (-31/9,-24/7) -> (-34/21,-89/55) Hyperbolic Matrix(407,1392,-288,-985) (-24/7,-17/5) -> (-41/29,-24/17) Hyperbolic Matrix(291,986,-188,-637) (-17/5,-27/8) -> (-31/20,-17/11) Hyperbolic Matrix(637,2146,-534,-1799) (-27/8,-64/19) -> (-6/5,-31/26) Hyperbolic Matrix(2205,7424,586,1973) (-64/19,-101/30) -> (15/4,64/17) Hyperbolic Matrix(1275,4292,172,579) (-101/30,-37/11) -> (37/5,15/2) Hyperbolic Matrix(639,2146,-466,-1565) (-37/11,-10/3) -> (-48/35,-37/27) Hyperbolic Matrix(755,2494,-544,-1797) (-10/3,-33/10) -> (-25/18,-68/49) Hyperbolic Matrix(985,3248,158,521) (-33/10,-89/27) -> (31/5,25/4) Hyperbolic Matrix(7831,25810,2376,7831) (-89/27,-145/44) -> (145/44,89/27) Hyperbolic Matrix(4929,16240,1496,4929) (-145/44,-56/17) -> (56/17,145/44) Hyperbolic Matrix(811,2668,176,579) (-56/17,-23/7) -> (23/5,60/13) Hyperbolic Matrix(231,754,-178,-581) (-23/7,-13/4) -> (-13/10,-35/27) Hyperbolic Matrix(233,754,72,233) (-13/4,-29/9) -> (29/9,13/4) Hyperbolic Matrix(289,928,90,289) (-29/9,-16/5) -> (16/5,29/9) Hyperbolic Matrix(291,928,164,523) (-16/5,-19/6) -> (39/22,16/9) Hyperbolic Matrix(405,1276,-166,-523) (-19/6,-3/1) -> (-61/25,-39/16) Hyperbolic Matrix(463,1334,362,1043) (-3/1,-23/8) -> (23/18,55/43) Hyperbolic Matrix(465,1334,-404,-1159) (-23/8,-20/7) -> (-38/33,-23/20) Hyperbolic Matrix(3133,8932,-1912,-5451) (-20/7,-57/20) -> (-59/36,-136/83) Hyperbolic Matrix(2667,7598,814,2319) (-57/20,-37/13) -> (95/29,59/18) Hyperbolic Matrix(349,986,-246,-695) (-17/6,-14/5) -> (-44/31,-17/12) Hyperbolic Matrix(521,1450,-438,-1219) (-39/14,-25/9) -> (-25/21,-19/16) Hyperbolic Matrix(1275,3538,-502,-1393) (-25/9,-61/22) -> (-61/24,-33/13) Hyperbolic Matrix(1277,3538,754,2089) (-61/22,-36/13) -> (22/13,61/36) Hyperbolic Matrix(755,2088,-482,-1333) (-36/13,-11/4) -> (-47/30,-36/23) Hyperbolic Matrix(637,1740,488,1333) (-41/15,-30/11) -> (30/23,17/13) Hyperbolic Matrix(1277,3480,724,1973) (-30/11,-79/29) -> (37/21,30/17) Hyperbolic Matrix(2321,6322,554,1509) (-79/29,-128/47) -> (46/11,21/5) Hyperbolic Matrix(3365,9164,1406,3829) (-128/47,-49/18) -> (67/28,12/5) Hyperbolic Matrix(405,1102,362,985) (-49/18,-68/25) -> (10/9,9/8) Hyperbolic Matrix(4351,11832,1600,4351) (-68/25,-87/32) -> (87/32,68/25) Hyperbolic Matrix(1217,3306,448,1217) (-87/32,-19/7) -> (19/7,87/32) Hyperbolic Matrix(407,1102,236,639) (-19/7,-27/10) -> (31/18,19/11) Hyperbolic Matrix(581,1566,-430,-1159) (-27/10,-35/13) -> (-23/17,-27/20) Hyperbolic Matrix(927,2494,-604,-1625) (-35/13,-43/16) -> (-43/28,-23/15) Hyperbolic Matrix(175,464,66,175) (-8/3,-29/11) -> (29/11,8/3) Hyperbolic Matrix(463,1218,176,463) (-29/11,-21/8) -> (21/8,29/11) Hyperbolic Matrix(2145,5626,464,1217) (-21/8,-97/37) -> (97/21,37/8) Hyperbolic Matrix(2899,7598,1770,4639) (-97/37,-76/29) -> (18/11,77/47) Hyperbolic Matrix(2147,5626,598,1567) (-76/29,-55/21) -> (61/17,18/5) Hyperbolic Matrix(1219,3190,-864,-2261) (-55/21,-34/13) -> (-24/17,-55/39) Hyperbolic Matrix(289,754,-156,-407) (-34/13,-13/5) -> (-13/7,-24/13) Hyperbolic Matrix(581,1508,492,1277) (-13/5,-70/27) -> (46/39,13/11) Hyperbolic Matrix(3827,9918,-2686,-6961) (-70/27,-57/22) -> (-57/40,-104/73) Hyperbolic Matrix(3829,9918,2150,5569) (-57/22,-101/39) -> (73/41,57/32) Hyperbolic Matrix(11311,29290,4368,11311) (-101/39,-145/56) -> (145/56,101/39) Hyperbolic Matrix(4929,12760,1904,4929) (-145/56,-44/17) -> (44/17,145/56) Hyperbolic Matrix(987,2552,292,755) (-44/17,-31/12) -> (27/8,44/13) Hyperbolic Matrix(697,1798,540,1393) (-31/12,-49/19) -> (9/7,31/24) Hyperbolic Matrix(811,2088,-496,-1277) (-49/19,-18/7) -> (-18/11,-67/41) Hyperbolic Matrix(2959,7598,1830,4699) (-18/7,-77/30) -> (97/60,76/47) Hyperbolic Matrix(4001,10266,-3052,-7831) (-77/30,-59/23) -> (-59/45,-97/74) Hyperbolic Matrix(1855,4756,814,2087) (-59/23,-41/16) -> (41/18,57/25) Hyperbolic Matrix(521,1334,430,1101) (-41/16,-23/9) -> (23/19,17/14) Hyperbolic Matrix(523,1334,296,755) (-23/9,-28/11) -> (30/17,23/13) Hyperbolic Matrix(2669,6786,776,1973) (-28/11,-61/24) -> (55/16,86/25) Hyperbolic Matrix(871,2204,-756,-1913) (-38/15,-5/2) -> (-53/46,-38/33) Hyperbolic Matrix(871,2146,636,1567) (-5/2,-32/13) -> (26/19,63/46) Hyperbolic Matrix(1391,3422,-802,-1973) (-32/13,-27/11) -> (-85/49,-26/15) Hyperbolic Matrix(521,1276,118,289) (-27/11,-22/9) -> (22/5,31/7) Hyperbolic Matrix(1449,3538,926,2261) (-22/9,-61/25) -> (61/39,36/23) Hyperbolic Matrix(3191,7772,-2500,-6089) (-39/16,-56/23) -> (-60/47,-97/76) Hyperbolic Matrix(1335,3248,358,871) (-56/23,-17/7) -> (41/11,56/15) Hyperbolic Matrix(407,986,168,407) (-17/7,-29/12) -> (29/12,17/7) Hyperbolic Matrix(289,696,120,289) (-29/12,-12/5) -> (12/5,29/12) Hyperbolic Matrix(3829,9164,1406,3365) (-12/5,-67/28) -> (49/18,128/47) Hyperbolic Matrix(4291,10266,-3152,-7541) (-67/28,-55/23) -> (-113/83,-49/36) Hyperbolic Matrix(2087,4988,582,1391) (-55/23,-43/18) -> (43/12,61/17) Hyperbolic Matrix(2551,6090,-1118,-2669) (-43/18,-74/31) -> (-16/7,-73/32) Hyperbolic Matrix(463,1102,292,695) (-31/13,-19/8) -> (19/12,27/17) Hyperbolic Matrix(465,1102,392,929) (-19/8,-45/19) -> (13/11,19/16) Hyperbolic Matrix(1275,3016,-736,-1741) (-45/19,-26/11) -> (-26/15,-71/41) Hyperbolic Matrix(173,406,-124,-291) (-26/11,-7/3) -> (-7/5,-32/23) Hyperbolic Matrix(927,2146,200,463) (-7/3,-37/16) -> (37/8,51/11) Hyperbolic Matrix(1507,3480,954,2203) (-37/16,-30/13) -> (30/19,79/50) Hyperbolic Matrix(579,1334,352,811) (-30/13,-23/10) -> (23/14,28/17) Hyperbolic Matrix(581,1334,152,349) (-23/10,-39/17) -> (19/5,23/6) Hyperbolic Matrix(405,928,278,637) (-39/17,-16/7) -> (16/11,19/13) Hyperbolic Matrix(4349,9918,2670,6089) (-73/32,-57/25) -> (57/35,101/62) Hyperbolic Matrix(2087,4756,814,1855) (-57/25,-41/18) -> (41/16,59/23) Hyperbolic Matrix(637,1450,76,173) (-41/18,-66/29) -> (8/1,17/2) Hyperbolic Matrix(3365,7656,-1886,-4291) (-66/29,-25/11) -> (-91/51,-66/37) Hyperbolic Matrix(1277,2900,358,813) (-25/11,-59/26) -> (57/16,25/7) Hyperbolic Matrix(3247,7366,-2506,-5685) (-59/26,-34/15) -> (-92/71,-57/44) Hyperbolic Matrix(871,1972,-640,-1449) (-34/15,-9/4) -> (-49/36,-34/25) Hyperbolic Matrix(233,522,104,233) (-9/4,-29/13) -> (29/13,9/4) Hyperbolic Matrix(521,1160,234,521) (-29/13,-20/9) -> (20/9,29/13) Hyperbolic Matrix(811,1798,-576,-1277) (-20/9,-31/14) -> (-31/22,-38/27) Hyperbolic Matrix(289,638,236,521) (-31/14,-11/5) -> (11/9,27/22) Hyperbolic Matrix(347,754,-214,-465) (-11/5,-13/6) -> (-13/8,-47/29) Hyperbolic Matrix(349,754,-268,-579) (-13/6,-15/7) -> (-43/33,-13/10) Hyperbolic Matrix(407,870,-298,-637) (-15/7,-2/1) -> (-56/41,-15/11) Hyperbolic Matrix(521,986,214,405) (-2/1,-17/9) -> (17/7,56/23) Hyperbolic Matrix(1335,2494,-1024,-1913) (-15/8,-28/15) -> (-30/23,-73/56) Hyperbolic Matrix(2203,4060,-1700,-3133) (-24/13,-35/19) -> (-35/27,-92/71) Hyperbolic Matrix(7657,14094,-4726,-8699) (-35/19,-46/25) -> (-128/79,-209/129) Hyperbolic Matrix(347,638,-316,-581) (-46/25,-11/6) -> (-11/10,-12/11) Hyperbolic Matrix(349,638,64,117) (-11/6,-31/17) -> (27/5,11/2) Hyperbolic Matrix(637,1160,-542,-987) (-31/17,-20/11) -> (-20/17,-27/23) Hyperbolic Matrix(639,1160,352,639) (-20/11,-29/16) -> (29/16,20/11) Hyperbolic Matrix(289,522,160,289) (-29/16,-9/5) -> (9/5,29/16) Hyperbolic Matrix(2553,4582,-1486,-2667) (-9/5,-52/29) -> (-122/71,-67/39) Hyperbolic Matrix(4465,8004,1326,2377) (-52/29,-43/24) -> (101/30,64/19) Hyperbolic Matrix(3827,6844,-2660,-4757) (-34/19,-59/33) -> (-59/41,-82/57) Hyperbolic Matrix(1915,3422,812,1451) (-59/33,-25/14) -> (33/14,59/25) Hyperbolic Matrix(7539,13456,3314,5915) (-25/14,-116/65) -> (116/51,91/40) Hyperbolic Matrix(7541,13456,3316,5917) (-116/65,-91/51) -> (25/11,116/51) Hyperbolic Matrix(813,1450,716,1277) (-66/37,-41/23) -> (17/15,8/7) Hyperbolic Matrix(2669,4756,1628,2901) (-41/23,-57/32) -> (59/36,41/25) Hyperbolic Matrix(1043,1856,-848,-1509) (-57/32,-16/9) -> (-16/13,-59/48) Hyperbolic Matrix(523,928,164,291) (-16/9,-39/22) -> (19/6,16/5) Hyperbolic Matrix(753,1334,556,985) (-39/22,-23/13) -> (23/17,19/14) Hyperbolic Matrix(755,1334,296,523) (-23/13,-30/17) -> (28/11,23/9) Hyperbolic Matrix(1973,3480,724,1277) (-30/17,-37/21) -> (79/29,30/11) Hyperbolic Matrix(1219,2146,956,1683) (-37/21,-7/4) -> (51/40,37/29) Hyperbolic Matrix(1971,3422,868,1507) (-33/19,-59/34) -> (59/26,25/11) Hyperbolic Matrix(14443,25056,-8926,-15485) (-59/34,-85/49) -> (-89/55,-233/144) Hyperbolic Matrix(7771,13456,3282,5683) (-71/41,-116/67) -> (116/49,45/19) Hyperbolic Matrix(7773,13456,3284,5685) (-116/67,-45/26) -> (71/30,116/49) Hyperbolic Matrix(637,1102,100,173) (-45/26,-19/11) -> (19/3,13/2) Hyperbolic Matrix(639,1102,236,407) (-19/11,-31/18) -> (27/10,19/7) Hyperbolic Matrix(1449,2494,-1180,-2031) (-31/18,-43/25) -> (-43/35,-27/22) Hyperbolic Matrix(2901,4988,2092,3597) (-43/25,-55/32) -> (61/44,43/31) Hyperbolic Matrix(14615,25114,-10734,-18445) (-55/32,-122/71) -> (-64/47,-177/130) Hyperbolic Matrix(5335,9164,3376,5799) (-67/39,-12/7) -> (128/81,49/31) Hyperbolic Matrix(407,696,238,407) (-12/7,-29/17) -> (29/17,12/7) Hyperbolic Matrix(579,986,340,579) (-29/17,-17/10) -> (17/10,29/17) Hyperbolic Matrix(581,986,274,465) (-17/10,-56/33) -> (2/1,17/8) Hyperbolic Matrix(5915,10034,2256,3827) (-95/56,-39/23) -> (97/37,21/8) Hyperbolic Matrix(753,1276,-514,-871) (-39/23,-22/13) -> (-22/15,-19/13) Hyperbolic Matrix(755,1276,584,987) (-22/13,-27/16) -> (31/24,22/17) Hyperbolic Matrix(2203,3712,-1584,-2669) (-27/16,-32/19) -> (-32/23,-89/64) Hyperbolic Matrix(173,290,34,57) (-32/19,-5/3) -> (5/1,26/5) Hyperbolic Matrix(1159,1914,-984,-1625) (-5/3,-33/20) -> (-33/28,-53/45) Hyperbolic Matrix(2145,3538,-1372,-2263) (-33/20,-28/17) -> (-86/55,-25/16) Hyperbolic Matrix(811,1334,352,579) (-28/17,-23/14) -> (23/10,30/13) Hyperbolic Matrix(813,1334,142,233) (-23/14,-41/25) -> (17/3,23/4) Hyperbolic Matrix(2901,4756,1628,2669) (-41/25,-59/36) -> (57/32,41/23) Hyperbolic Matrix(12991,21286,-9912,-16241) (-136/83,-77/47) -> (-135/103,-38/29) Hyperbolic Matrix(4639,7598,1770,2899) (-77/47,-18/11) -> (76/29,97/37) Hyperbolic Matrix(8235,13456,3194,5219) (-67/41,-116/71) -> (116/45,49/19) Hyperbolic Matrix(8237,13456,3196,5221) (-116/71,-49/30) -> (67/26,116/45) Hyperbolic Matrix(1101,1798,248,405) (-49/30,-31/19) -> (31/7,9/2) Hyperbolic Matrix(1103,1798,392,639) (-31/19,-44/27) -> (14/5,31/11) Hyperbolic Matrix(7831,12760,4806,7831) (-44/27,-145/89) -> (145/89,44/27) Hyperbolic Matrix(17979,29290,11036,17979) (-145/89,-101/62) -> (101/62,145/89) Hyperbolic Matrix(5163,8410,962,1567) (-101/62,-57/35) -> (59/11,43/8) Hyperbolic Matrix(463,754,-428,-697) (-57/35,-70/43) -> (-12/11,-1/1) Hyperbolic Matrix(927,1508,142,231) (-70/43,-13/8) -> (13/2,46/7) Hyperbolic Matrix(6729,10904,-4724,-7655) (-47/29,-128/79) -> (-104/73,-47/33) Hyperbolic Matrix(51909,84100,19868,32189) (-209/129,-290/179) -> (290/111,81/31) Hyperbolic Matrix(51911,84100,19870,32191) (-290/179,-81/50) -> (209/80,290/111) Hyperbolic Matrix(4583,7424,-3186,-5161) (-81/50,-34/21) -> (-82/57,-23/16) Hyperbolic Matrix(42513,68788,11936,19313) (-233/144,-377/233) -> (203/57,57/16) Hyperbolic Matrix(52085,84274,14626,23665) (-377/233,-144/89) -> (146/41,203/57) Hyperbolic Matrix(8353,13514,3012,4873) (-144/89,-55/34) -> (61/22,86/31) Hyperbolic Matrix(3479,5626,2510,4059) (-55/34,-76/47) -> (18/13,61/44) Hyperbolic Matrix(4699,7598,1830,2959) (-76/47,-97/60) -> (77/30,18/7) Hyperbolic Matrix(6207,10034,2548,4119) (-97/60,-21/13) -> (95/39,39/16) Hyperbolic Matrix(755,1218,468,755) (-21/13,-29/18) -> (29/18,21/13) Hyperbolic Matrix(289,464,180,289) (-29/18,-8/5) -> (8/5,29/18) Hyperbolic Matrix(291,464,-254,-405) (-8/5,-35/22) -> (-23/20,-8/7) Hyperbolic Matrix(1277,2030,-948,-1507) (-62/39,-27/17) -> (-31/23,-4/3) Hyperbolic Matrix(695,1102,292,463) (-27/17,-19/12) -> (19/8,31/13) Hyperbolic Matrix(2089,3306,1320,2089) (-19/12,-87/55) -> (87/55,19/12) Hyperbolic Matrix(7481,11832,4730,7481) (-87/55,-68/43) -> (68/43,87/55) Hyperbolic Matrix(697,1102,74,117) (-68/43,-49/31) -> (9/1,10/1) Hyperbolic Matrix(5799,9164,3376,5335) (-49/31,-128/81) -> (12/7,67/39) Hyperbolic Matrix(4001,6322,3046,4813) (-128/81,-79/50) -> (21/16,46/35) Hyperbolic Matrix(2203,3480,954,1507) (-79/50,-30/19) -> (30/13,37/16) Hyperbolic Matrix(405,638,-332,-523) (-30/19,-11/7) -> (-11/9,-28/23) Hyperbolic Matrix(2145,3364,776,1217) (-11/7,-58/37) -> (58/21,47/17) Hyperbolic Matrix(2147,3364,778,1219) (-58/37,-47/30) -> (11/4,58/21) Hyperbolic Matrix(927,1450,296,463) (-36/23,-61/39) -> (3/1,22/7) Hyperbolic Matrix(8641,13514,3300,5161) (-61/39,-86/55) -> (144/55,55/21) Hyperbolic Matrix(521,812,-410,-639) (-25/16,-14/9) -> (-14/11,-33/26) Hyperbolic Matrix(1159,1798,448,695) (-14/9,-31/20) -> (31/12,44/17) Hyperbolic Matrix(639,986,-488,-753) (-17/11,-20/13) -> (-38/29,-17/13) Hyperbolic Matrix(1509,2320,-1282,-1971) (-20/13,-43/28) -> (-73/62,-20/17) Hyperbolic Matrix(871,1334,190,291) (-23/15,-3/2) -> (55/12,23/5) Hyperbolic Matrix(987,1450,356,523) (-3/2,-22/15) -> (36/13,61/22) Hyperbolic Matrix(637,928,278,405) (-19/13,-16/11) -> (16/7,39/17) Hyperbolic Matrix(639,928,440,639) (-16/11,-29/20) -> (29/20,16/11) Hyperbolic Matrix(521,754,360,521) (-29/20,-13/9) -> (13/9,29/20) Hyperbolic Matrix(2377,3422,2054,2957) (-36/25,-95/66) -> (37/32,22/19) Hyperbolic Matrix(5279,7598,3426,4931) (-95/66,-59/41) -> (57/37,37/24) Hyperbolic Matrix(1857,2668,1454,2089) (-23/16,-56/39) -> (60/47,23/18) Hyperbolic Matrix(11311,16240,7878,11311) (-56/39,-145/101) -> (145/101,56/39) Hyperbolic Matrix(17979,25810,12524,17979) (-145/101,-89/62) -> (89/62,145/101) Hyperbolic Matrix(4001,5742,848,1217) (-89/62,-33/23) -> (33/7,85/18) Hyperbolic Matrix(4291,6148,-3644,-5221) (-43/30,-53/37) -> (-53/45,-73/62) Hyperbolic Matrix(3769,5394,-2716,-3887) (-53/37,-10/7) -> (-68/49,-179/129) Hyperbolic Matrix(3017,4292,2610,3713) (-37/26,-101/71) -> (15/13,37/32) Hyperbolic Matrix(5627,8004,2488,3539) (-101/71,-64/45) -> (52/23,43/19) Hyperbolic Matrix(4813,6844,-3794,-5395) (-64/45,-27/19) -> (-85/67,-52/41) Hyperbolic Matrix(1797,2552,1102,1565) (-27/19,-44/31) -> (44/27,31/19) Hyperbolic Matrix(2377,3364,696,985) (-17/12,-58/41) -> (58/17,41/12) Hyperbolic Matrix(2379,3364,698,987) (-58/41,-41/29) -> (17/5,58/17) Hyperbolic Matrix(4813,6786,2920,4117) (-55/39,-86/61) -> (28/17,61/37) Hyperbolic Matrix(8641,12180,-6214,-8759) (-86/61,-31/22) -> (-89/64,-146/105) Hyperbolic Matrix(60609,84274,23150,32189) (-146/105,-203/146) -> (377/144,144/55) Hyperbolic Matrix(49475,68788,18898,26275) (-203/146,-57/41) -> (233/89,377/144) Hyperbolic Matrix(2087,2900,1168,1623) (-57/41,-25/18) -> (25/14,59/33) Hyperbolic Matrix(60609,84100,16928,23489) (-179/129,-290/209) -> (290/81,111/31) Hyperbolic Matrix(60611,84100,16930,23491) (-290/209,-111/80) -> (179/50,290/81) Hyperbolic Matrix(2843,3944,-2466,-3421) (-111/80,-43/31) -> (-15/13,-53/46) Hyperbolic Matrix(3597,4988,2092,2901) (-43/31,-61/44) -> (55/32,43/25) Hyperbolic Matrix(4059,5626,2510,3479) (-61/44,-18/13) -> (76/47,55/34) Hyperbolic Matrix(755,1044,546,755) (-18/13,-29/21) -> (29/21,18/13) Hyperbolic Matrix(463,638,336,463) (-29/21,-11/8) -> (11/8,29/21) Hyperbolic Matrix(465,638,-422,-579) (-11/8,-48/35) -> (-10/9,-11/10) Hyperbolic Matrix(1101,1508,-890,-1219) (-37/27,-26/19) -> (-26/21,-21/17) Hyperbolic Matrix(1739,2378,-1358,-1857) (-26/19,-41/30) -> (-41/32,-32/25) Hyperbolic Matrix(2377,3248,1400,1913) (-41/30,-56/41) -> (56/33,17/10) Hyperbolic Matrix(5451,7424,3832,5219) (-15/11,-64/47) -> (64/45,101/71) Hyperbolic Matrix(61769,84100,16400,22329) (-177/130,-290/213) -> (290/77,113/30) Hyperbolic Matrix(61771,84100,16402,22331) (-290/213,-113/83) -> (177/47,290/77) Hyperbolic Matrix(811,1102,170,231) (-34/25,-19/14) -> (19/4,24/5) Hyperbolic Matrix(985,1334,556,753) (-19/14,-23/17) -> (23/13,39/22) Hyperbolic Matrix(2493,3364,644,869) (-27/20,-58/43) -> (58/15,31/8) Hyperbolic Matrix(2495,3364,646,871) (-58/43,-31/23) -> (27/7,58/15) Hyperbolic Matrix(175,232,132,175) (-4/3,-29/22) -> (29/22,4/3) Hyperbolic Matrix(1101,1450,836,1101) (-29/22,-25/19) -> (25/19,29/22) Hyperbolic Matrix(2029,2668,308,405) (-25/19,-46/35) -> (46/7,33/5) Hyperbolic Matrix(4813,6322,3046,4001) (-46/35,-21/16) -> (79/50,128/81) Hyperbolic Matrix(4467,5858,1018,1335) (-21/16,-59/45) -> (57/13,79/18) Hyperbolic Matrix(41063,53824,9734,12759) (-97/74,-232/177) -> (232/55,135/32) Hyperbolic Matrix(41065,53824,9736,12761) (-232/177,-135/103) -> (97/23,232/55) Hyperbolic Matrix(755,986,134,175) (-17/13,-30/23) -> (28/5,17/3) Hyperbolic Matrix(10323,13456,2402,3131) (-73/56,-116/89) -> (116/27,43/10) Hyperbolic Matrix(10325,13456,2404,3133) (-116/89,-43/33) -> (73/17,116/27) Hyperbolic Matrix(4523,5858,1074,1391) (-57/44,-79/61) -> (21/5,59/14) Hyperbolic Matrix(1971,2552,268,347) (-79/61,-22/17) -> (22/3,37/5) Hyperbolic Matrix(987,1276,584,755) (-22/17,-31/24) -> (27/16,22/13) Hyperbolic Matrix(1393,1798,540,697) (-31/24,-9/7) -> (49/19,31/12) Hyperbolic Matrix(407,522,46,59) (-9/7,-41/32) -> (17/2,9/1) Hyperbolic Matrix(4351,5568,3400,4351) (-32/25,-87/68) -> (87/68,32/25) Hyperbolic Matrix(7481,9570,5848,7481) (-87/68,-55/43) -> (55/43,87/68) Hyperbolic Matrix(1043,1334,362,463) (-55/43,-23/18) -> (23/8,3/1) Hyperbolic Matrix(2089,2668,1454,1857) (-23/18,-60/47) -> (56/39,23/16) Hyperbolic Matrix(4409,5626,2728,3481) (-97/76,-37/29) -> (21/13,97/60) Hyperbolic Matrix(1683,2146,956,1219) (-37/29,-51/40) -> (7/4,37/21) Hyperbolic Matrix(10555,13456,2274,2899) (-51/40,-116/91) -> (116/25,65/14) Hyperbolic Matrix(10557,13456,2276,2901) (-116/91,-65/51) -> (51/11,116/25) Hyperbolic Matrix(4525,5742,1372,1741) (-33/26,-85/67) -> (89/27,33/10) Hyperbolic Matrix(871,1102,230,291) (-19/15,-24/19) -> (34/9,19/5) Hyperbolic Matrix(1103,1392,874,1103) (-24/19,-29/23) -> (29/23,24/19) Hyperbolic Matrix(231,290,184,231) (-29/23,-5/4) -> (5/4,29/23) Hyperbolic Matrix(233,290,94,117) (-5/4,-26/21) -> (32/13,5/2) Hyperbolic Matrix(2725,3364,516,637) (-21/17,-58/47) -> (58/11,37/7) Hyperbolic Matrix(2727,3364,518,639) (-58/47,-37/30) -> (21/4,58/11) Hyperbolic Matrix(6843,8410,2642,3247) (-59/48,-43/35) -> (101/39,57/22) Hyperbolic Matrix(521,638,236,289) (-27/22,-11/9) -> (11/5,31/14) Hyperbolic Matrix(811,986,190,231) (-28/23,-17/14) -> (17/4,30/7) Hyperbolic Matrix(1101,1334,430,521) (-17/14,-23/19) -> (23/9,41/16) Hyperbolic Matrix(1103,1334,912,1103) (-23/19,-29/24) -> (29/24,23/19) Hyperbolic Matrix(289,348,240,289) (-29/24,-6/5) -> (6/5,29/24) Hyperbolic Matrix(2727,3248,1900,2263) (-31/26,-25/21) -> (33/23,89/62) Hyperbolic Matrix(929,1102,392,465) (-19/16,-13/11) -> (45/19,19/8) Hyperbolic Matrix(1277,1508,492,581) (-13/11,-46/39) -> (70/27,13/5) Hyperbolic Matrix(2263,2668,542,639) (-46/39,-33/28) -> (25/6,46/11) Hyperbolic Matrix(349,406,300,349) (-7/6,-29/25) -> (29/25,7/6) Hyperbolic Matrix(1101,1276,950,1101) (-29/25,-22/19) -> (22/19,29/25) Hyperbolic Matrix(2205,2552,502,581) (-22/19,-37/32) -> (79/18,22/5) Hyperbolic Matrix(3713,4292,2610,3017) (-37/32,-15/13) -> (101/71,37/26) Hyperbolic Matrix(1277,1450,716,813) (-8/7,-17/15) -> (41/23,66/37) Hyperbolic Matrix(463,522,102,115) (-17/15,-9/8) -> (9/2,41/9) Hyperbolic Matrix(985,1102,362,405) (-9/8,-10/9) -> (68/25,49/18) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(523,-580,156,-173) (1/1,10/9) -> (10/3,57/17) Hyperbolic Matrix(405,-464,254,-291) (8/7,15/13) -> (43/27,8/5) Hyperbolic Matrix(347,-406,100,-117) (7/6,20/17) -> (38/11,7/2) Hyperbolic Matrix(1625,-1914,984,-1159) (20/17,33/28) -> (33/20,38/23) Hyperbolic Matrix(927,-1102,196,-233) (19/16,6/5) -> (52/11,19/4) Hyperbolic Matrix(523,-638,332,-405) (17/14,11/9) -> (11/7,41/26) Hyperbolic Matrix(2031,-2494,1180,-1449) (27/22,16/13) -> (74/43,31/18) Hyperbolic Matrix(753,-928,142,-175) (16/13,21/17) -> (37/7,16/3) Hyperbolic Matrix(1219,-1508,890,-1101) (21/17,5/4) -> (63/46,37/27) Hyperbolic Matrix(639,-812,410,-521) (19/15,14/11) -> (14/9,39/25) Hyperbolic Matrix(1275,-1624,274,-349) (14/11,51/40) -> (65/14,14/3) Hyperbolic Matrix(6089,-7772,2500,-3191) (37/29,60/47) -> (56/23,95/39) Hyperbolic Matrix(1857,-2378,1358,-1739) (32/25,9/7) -> (67/49,26/19) Hyperbolic Matrix(581,-754,178,-231) (22/17,13/10) -> (13/4,36/11) Hyperbolic Matrix(579,-754,268,-349) (13/10,30/23) -> (28/13,13/6) Hyperbolic Matrix(753,-986,488,-639) (17/13,21/16) -> (37/24,17/11) Hyperbolic Matrix(1159,-1566,430,-581) (4/3,23/17) -> (35/13,62/23) Hyperbolic Matrix(1449,-1972,640,-871) (34/25,15/11) -> (43/19,34/15) Hyperbolic Matrix(637,-870,298,-407) (15/11,41/30) -> (17/8,15/7) Hyperbolic Matrix(1565,-2146,466,-639) (37/27,11/8) -> (47/14,37/11) Hyperbolic Matrix(1797,-2494,544,-755) (43/31,25/18) -> (33/10,43/13) Hyperbolic Matrix(291,-406,124,-173) (25/18,7/5) -> (7/3,33/14) Hyperbolic Matrix(289,-406,42,-59) (7/5,31/22) -> (27/4,7/1) Hyperbolic Matrix(2261,-3190,864,-1219) (31/22,24/17) -> (34/13,89/34) Hyperbolic Matrix(985,-1392,288,-407) (24/17,17/12) -> (41/12,24/7) Hyperbolic Matrix(695,-986,246,-349) (17/12,27/19) -> (31/11,17/6) Hyperbolic Matrix(1509,-2146,244,-347) (27/19,64/45) -> (6/1,31/5) Hyperbolic Matrix(1507,-2146,408,-581) (37/26,10/7) -> (48/13,37/10) Hyperbolic Matrix(1739,-2494,486,-697) (10/7,33/23) -> (25/7,68/19) Hyperbolic Matrix(523,-754,120,-173) (23/16,13/9) -> (13/3,35/8) Hyperbolic Matrix(871,-1276,514,-753) (19/13,3/2) -> (61/36,39/23) Hyperbolic Matrix(869,-1334,114,-175) (23/15,20/13) -> (38/5,23/3) Hyperbolic Matrix(5799,-8932,2260,-3481) (20/13,57/37) -> (59/23,136/53) Hyperbolic Matrix(637,-986,188,-291) (17/11,14/9) -> (44/13,17/5) Hyperbolic Matrix(929,-1450,148,-231) (39/25,25/16) -> (25/4,19/3) Hyperbolic Matrix(2263,-3538,1372,-2145) (25/16,61/39) -> (61/37,33/20) Hyperbolic Matrix(1333,-2088,482,-755) (36/23,11/7) -> (47/17,36/13) Hyperbolic Matrix(985,-1566,256,-407) (27/17,35/22) -> (23/6,27/7) Hyperbolic Matrix(1567,-2494,546,-869) (35/22,43/27) -> (43/15,23/8) Hyperbolic Matrix(1971,-3190,574,-929) (55/34,34/21) -> (24/7,55/16) Hyperbolic Matrix(465,-754,214,-347) (34/21,13/8) -> (13/6,24/11) Hyperbolic Matrix(6091,-9918,1816,-2957) (70/43,57/35) -> (57/17,104/31) Hyperbolic Matrix(1277,-2088,496,-811) (49/30,18/11) -> (18/7,67/26) Hyperbolic Matrix(6265,-10266,1486,-2435) (77/47,59/36) -> (59/14,97/23) Hyperbolic Matrix(1333,-2204,176,-291) (38/23,5/3) -> (53/7,38/5) Hyperbolic Matrix(2031,-3422,860,-1449) (32/19,27/16) -> (85/36,26/11) Hyperbolic Matrix(4581,-7772,992,-1683) (39/23,56/33) -> (60/13,97/21) Hyperbolic Matrix(5975,-10266,1586,-2725) (67/39,55/32) -> (113/30,49/13) Hyperbolic Matrix(3539,-6090,1988,-3421) (43/25,74/43) -> (16/9,73/41) Hyperbolic Matrix(1741,-3016,736,-1275) (45/26,26/15) -> (26/11,71/30) Hyperbolic Matrix(233,-406,66,-115) (26/15,7/4) -> (7/2,32/9) Hyperbolic Matrix(4291,-7656,1886,-3365) (66/37,25/14) -> (91/40,66/29) Hyperbolic Matrix(4119,-7366,940,-1681) (59/33,34/19) -> (92/21,57/13) Hyperbolic Matrix(1101,-1972,292,-523) (34/19,9/5) -> (49/13,34/9) Hyperbolic Matrix(987,-1798,286,-521) (20/11,31/17) -> (31/9,38/11) Hyperbolic Matrix(407,-754,156,-289) (11/6,13/7) -> (13/5,47/18) Hyperbolic Matrix(405,-754,94,-175) (13/7,15/8) -> (43/10,13/3) Hyperbolic Matrix(463,-870,124,-233) (15/8,2/1) -> (56/15,15/4) Hyperbolic Matrix(1159,-2494,270,-581) (15/7,28/13) -> (30/7,73/17) Hyperbolic Matrix(1857,-4060,424,-927) (24/11,35/16) -> (35/8,92/21) Hyperbolic Matrix(6437,-14094,2464,-5395) (35/16,46/21) -> (128/49,209/80) Hyperbolic Matrix(291,-638,26,-57) (46/21,11/5) -> (11/1,12/1) Hyperbolic Matrix(523,-1160,78,-173) (31/14,20/9) -> (20/3,27/4) Hyperbolic Matrix(2029,-4582,848,-1915) (9/4,52/23) -> (122/51,67/28) Hyperbolic Matrix(3017,-6844,920,-2087) (34/15,59/26) -> (59/18,82/25) Hyperbolic Matrix(813,-1856,152,-347) (57/25,16/7) -> (16/3,59/11) Hyperbolic Matrix(10613,-25056,4054,-9571) (59/25,85/36) -> (89/34,233/89) Hyperbolic Matrix(1045,-2494,194,-463) (31/13,43/18) -> (43/8,27/5) Hyperbolic Matrix(10499,-25114,2788,-6669) (55/23,122/51) -> (64/17,177/47) Hyperbolic Matrix(523,-1276,166,-405) (39/16,22/9) -> (22/7,19/6) Hyperbolic Matrix(1509,-3712,424,-1043) (27/11,32/13) -> (32/9,89/25) Hyperbolic Matrix(755,-1914,114,-289) (5/2,33/13) -> (33/5,53/8) Hyperbolic Matrix(1393,-3538,502,-1275) (33/13,28/11) -> (86/31,25/9) Hyperbolic Matrix(8295,-21286,1966,-5045) (136/53,77/30) -> (135/32,38/9) Hyperbolic Matrix(291,-754,22,-57) (57/22,70/27) -> (12/1,1/0) Hyperbolic Matrix(4175,-10904,1244,-3249) (47/18,128/49) -> (104/31,47/14) Hyperbolic Matrix(2841,-7424,866,-2263) (81/31,34/13) -> (82/25,23/7) Hyperbolic Matrix(173,-464,22,-59) (8/3,35/13) -> (23/3,8/1) Hyperbolic Matrix(753,-2030,194,-523) (62/23,27/10) -> (31/8,4/1) Hyperbolic Matrix(233,-638,42,-115) (30/11,11/4) -> (11/2,28/5) Hyperbolic Matrix(291,-812,62,-173) (25/9,14/5) -> (14/3,33/7) Hyperbolic Matrix(347,-986,82,-233) (17/6,20/7) -> (38/9,17/4) Hyperbolic Matrix(811,-2320,122,-349) (20/7,43/15) -> (73/11,20/3) Hyperbolic Matrix(1857,-6148,280,-927) (43/13,53/16) -> (53/8,73/11) Hyperbolic Matrix(1625,-5394,454,-1507) (53/16,10/3) -> (68/19,179/50) Hyperbolic Matrix(2031,-6844,430,-1449) (64/19,27/8) -> (85/18,52/11) Hyperbolic Matrix(3539,-12180,994,-3421) (86/25,31/9) -> (89/25,146/41) Hyperbolic Matrix(1101,-3944,146,-523) (111/31,43/12) -> (15/2,53/7) Hyperbolic Matrix(173,-638,16,-59) (11/3,48/13) -> (10/1,11/1) Hyperbolic Matrix(407,-1508,78,-289) (37/10,26/7) -> (26/5,21/4) Hyperbolic Matrix(639,-2378,140,-521) (26/7,41/11) -> (41/9,32/7) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(57,580,-40,-407) -> Matrix(17,6,-326,-115) Matrix(117,1102,74,697) -> Matrix(31,10,530,171) Matrix(175,1508,128,1103) -> Matrix(7,2,150,43) Matrix(173,1450,76,637) -> Matrix(41,12,468,137) Matrix(59,464,-22,-173) -> Matrix(7,2,-74,-21) Matrix(579,4292,172,1275) -> Matrix(15,4,116,31) Matrix(465,3422,142,1045) -> Matrix(39,10,308,79) Matrix(175,1276,24,175) -> Matrix(103,26,408,103) Matrix(57,406,8,57) -> Matrix(33,8,136,33) Matrix(59,406,-42,-289) -> Matrix(17,4,-336,-79) Matrix(289,1914,-114,-755) -> Matrix(17,4,-200,-47) Matrix(405,2668,308,2029) -> Matrix(61,14,1294,297) Matrix(231,1508,142,927) -> Matrix(17,4,276,65) Matrix(173,1102,100,637) -> Matrix(37,8,578,125) Matrix(175,1102,-138,-869) -> Matrix(19,4,-404,-85) Matrix(59,348,10,59) -> Matrix(29,6,140,29) Matrix(231,1334,40,231) -> Matrix(111,22,560,111) Matrix(233,1334,142,813) -> Matrix(31,6,532,103) Matrix(115,638,-42,-233) -> Matrix(11,2,-94,-17) Matrix(117,638,64,349) -> Matrix(9,2,130,29) Matrix(463,2494,-194,-1045) -> Matrix(11,2,-116,-21) Matrix(175,928,-142,-753) -> Matrix(11,2,-226,-41) Matrix(289,1508,-78,-407) -> Matrix(11,2,-94,-17) Matrix(59,290,12,59) -> Matrix(23,4,132,23) Matrix(289,1392,60,289) -> Matrix(109,18,660,109) Matrix(231,1102,170,811) -> Matrix(37,6,746,121) Matrix(173,812,-62,-291) -> Matrix(13,2,-124,-19) Matrix(349,1624,-274,-1275) -> Matrix(25,4,-544,-87) Matrix(463,2146,200,927) -> Matrix(13,2,136,21) Matrix(1683,7772,-992,-4581) -> Matrix(93,14,-1508,-227) Matrix(579,2668,176,811) -> Matrix(1,0,16,1) Matrix(291,1334,190,871) -> Matrix(23,4,408,71) Matrix(2089,9570,456,2089) -> Matrix(59,10,348,59) Matrix(1217,5568,266,1217) -> Matrix(61,10,372,61) Matrix(521,2378,-140,-639) -> Matrix(25,4,-194,-31) Matrix(405,1798,248,1101) -> Matrix(27,4,452,67) Matrix(289,1276,118,521) -> Matrix(13,2,136,21) Matrix(173,754,-120,-523) -> Matrix(27,4,-520,-77) Matrix(175,754,-94,-405) -> Matrix(1,0,-8,1) Matrix(407,1740,258,1103) -> Matrix(15,2,262,35) Matrix(233,986,-82,-347) -> Matrix(13,2,-124,-19) Matrix(1509,6322,554,2321) -> Matrix(13,2,110,17) Matrix(639,2668,542,2263) -> Matrix(41,6,936,137) Matrix(349,1450,84,349) -> Matrix(97,14,672,97) Matrix(57,232,14,57) -> Matrix(15,2,112,15) Matrix(407,1566,-256,-985) -> Matrix(1,0,-10,1) Matrix(349,1334,152,581) -> Matrix(15,2,172,23) Matrix(291,1102,230,871) -> Matrix(31,4,674,87) Matrix(523,1972,-292,-1101) -> Matrix(13,2,-202,-31) Matrix(233,870,-124,-463) -> Matrix(15,2,-218,-29) Matrix(405,1508,358,1333) -> Matrix(15,2,352,47) Matrix(579,2146,344,1275) -> Matrix(17,2,280,33) Matrix(581,2146,-408,-1507) -> Matrix(13,2,-254,-39) Matrix(175,638,48,175) -> Matrix(31,4,240,31) Matrix(289,1044,80,289) -> Matrix(49,6,400,49) Matrix(1567,5626,598,2147) -> Matrix(33,4,338,41) Matrix(1391,4988,582,2087) -> Matrix(1,0,20,1) Matrix(697,2494,-486,-1739) -> Matrix(17,2,-332,-39) Matrix(115,406,-66,-233) -> Matrix(17,2,-264,-31) Matrix(117,406,-100,-347) -> Matrix(17,2,-400,-47) Matrix(929,3190,-574,-1971) -> Matrix(55,6,-926,-101) Matrix(407,1392,-288,-985) -> Matrix(21,2,-410,-39) Matrix(291,986,-188,-637) -> Matrix(1,0,-10,1) Matrix(637,2146,-534,-1799) -> Matrix(33,4,-784,-95) Matrix(2205,7424,586,1973) -> Matrix(1,0,16,1) Matrix(1275,4292,172,579) -> Matrix(31,4,116,15) Matrix(639,2146,-466,-1565) -> Matrix(1,0,-12,1) Matrix(755,2494,-544,-1797) -> Matrix(33,4,-652,-79) Matrix(985,3248,158,521) -> Matrix(53,6,256,29) Matrix(7831,25810,2376,7831) -> Matrix(143,16,1278,143) Matrix(4929,16240,1496,4929) -> Matrix(91,10,828,91) Matrix(811,2668,176,579) -> Matrix(1,0,16,1) Matrix(231,754,-178,-581) -> Matrix(17,2,-366,-43) Matrix(233,754,72,233) -> Matrix(17,2,144,17) Matrix(289,928,90,289) -> Matrix(19,2,180,19) Matrix(291,928,164,523) -> Matrix(19,2,294,31) Matrix(405,1276,-166,-523) -> Matrix(19,2,-200,-21) Matrix(463,1334,362,1043) -> Matrix(19,2,408,43) Matrix(465,1334,-404,-1159) -> Matrix(19,2,-466,-49) Matrix(3133,8932,-1912,-5451) -> Matrix(1,0,-12,1) Matrix(2667,7598,814,2319) -> Matrix(15,2,112,15) Matrix(349,986,-246,-695) -> Matrix(17,2,-332,-39) Matrix(521,1450,-438,-1219) -> Matrix(1,0,-14,1) Matrix(1275,3538,-502,-1393) -> Matrix(21,2,-242,-23) Matrix(1277,3538,754,2089) -> Matrix(25,2,412,33) Matrix(755,2088,-482,-1333) -> Matrix(29,2,-508,-35) Matrix(637,1740,488,1333) -> Matrix(19,2,408,43) Matrix(1277,3480,724,1973) -> Matrix(37,4,564,61) Matrix(2321,6322,554,1509) -> Matrix(17,2,110,13) Matrix(3365,9164,1406,3829) -> Matrix(37,4,416,45) Matrix(405,1102,362,985) -> Matrix(1,0,34,1) Matrix(4351,11832,1600,4351) -> Matrix(17,2,144,17) Matrix(1217,3306,448,1217) -> Matrix(37,4,342,37) Matrix(407,1102,236,639) -> Matrix(39,4,614,63) Matrix(581,1566,-430,-1159) -> Matrix(19,2,-390,-41) Matrix(927,2494,-604,-1625) -> Matrix(21,2,-368,-35) Matrix(175,464,66,175) -> Matrix(19,2,180,19) Matrix(463,1218,176,463) -> Matrix(61,6,620,61) Matrix(2145,5626,464,1217) -> Matrix(41,4,256,25) Matrix(2899,7598,1770,4639) -> Matrix(21,2,346,33) Matrix(2147,5626,598,1567) -> Matrix(41,4,338,33) Matrix(1219,3190,-864,-2261) -> Matrix(41,4,-810,-79) Matrix(289,754,-156,-407) -> Matrix(1,0,-4,1) Matrix(581,1508,492,1277) -> Matrix(1,0,32,1) Matrix(3827,9918,-2686,-6961) -> Matrix(135,14,-2594,-269) Matrix(3829,9918,2150,5569) -> Matrix(99,10,1574,159) Matrix(11311,29290,4368,11311) -> Matrix(319,32,3180,319) Matrix(4929,12760,1904,4929) -> Matrix(141,14,1420,141) Matrix(987,2552,292,755) -> Matrix(21,2,178,17) Matrix(697,1798,540,1393) -> Matrix(21,2,472,45) Matrix(811,2088,-496,-1277) -> Matrix(1,0,-6,1) Matrix(2959,7598,1830,4699) -> Matrix(165,16,2774,269) Matrix(4001,10266,-3052,-7831) -> Matrix(127,12,-2720,-257) Matrix(1855,4756,814,2087) -> Matrix(1,0,22,1) Matrix(521,1334,430,1101) -> Matrix(43,4,978,91) Matrix(523,1334,296,755) -> Matrix(1,0,26,1) Matrix(2669,6786,776,1973) -> Matrix(67,6,614,55) Matrix(871,2204,-756,-1913) -> Matrix(23,2,-564,-49) Matrix(871,2146,636,1567) -> Matrix(43,4,892,83) Matrix(1391,3422,-802,-1973) -> Matrix(65,6,-986,-91) Matrix(521,1276,118,289) -> Matrix(21,2,136,13) Matrix(1449,3538,926,2261) -> Matrix(85,8,1498,141) Matrix(3191,7772,-2500,-6089) -> Matrix(21,2,-494,-47) Matrix(1335,3248,358,871) -> Matrix(21,2,136,13) Matrix(407,986,168,407) -> Matrix(87,8,946,87) Matrix(289,696,120,289) -> Matrix(67,6,748,67) Matrix(3829,9164,1406,3365) -> Matrix(45,4,416,37) Matrix(4291,10266,-3152,-7541) -> Matrix(23,2,-426,-37) Matrix(2087,4988,582,1391) -> Matrix(1,0,20,1) Matrix(2551,6090,-1118,-2669) -> Matrix(21,2,-242,-23) Matrix(463,1102,292,695) -> Matrix(23,2,402,35) Matrix(465,1102,392,929) -> Matrix(23,2,586,51) Matrix(1275,3016,-736,-1741) -> Matrix(93,8,-1430,-123) Matrix(173,406,-124,-291) -> Matrix(1,0,-8,1) Matrix(927,2146,200,463) -> Matrix(21,2,136,13) Matrix(1507,3480,954,2203) -> Matrix(45,4,776,69) Matrix(579,1334,352,811) -> Matrix(21,2,346,33) Matrix(581,1334,152,349) -> Matrix(23,2,172,15) Matrix(405,928,278,637) -> Matrix(21,2,388,37) Matrix(4349,9918,2670,6089) -> Matrix(91,8,1490,131) Matrix(2087,4756,814,1855) -> Matrix(1,0,22,1) Matrix(637,1450,76,173) -> Matrix(137,12,468,41) Matrix(3365,7656,-1886,-4291) -> Matrix(367,32,-5700,-497) Matrix(1277,2900,358,813) -> Matrix(93,8,802,69) Matrix(3247,7366,-2506,-5685) -> Matrix(211,18,-4560,-389) Matrix(871,1972,-640,-1449) -> Matrix(23,2,-472,-41) Matrix(233,522,104,233) -> Matrix(71,6,840,71) Matrix(521,1160,234,521) -> Matrix(169,14,2040,169) Matrix(811,1798,-576,-1277) -> Matrix(73,6,-1448,-119) Matrix(289,638,236,521) -> Matrix(49,4,1090,89) Matrix(347,754,-214,-465) -> Matrix(27,2,-446,-33) Matrix(349,754,-268,-579) -> Matrix(25,2,-538,-43) Matrix(407,870,-298,-637) -> Matrix(1,0,-8,1) Matrix(521,986,214,405) -> Matrix(59,4,634,43) Matrix(1335,2494,-1024,-1913) -> Matrix(59,4,-1254,-85) Matrix(2203,4060,-1700,-3133) -> Matrix(173,12,-3734,-259) Matrix(7657,14094,-4726,-8699) -> Matrix(959,66,-16056,-1105) Matrix(347,638,-316,-581) -> Matrix(29,2,-798,-55) Matrix(349,638,64,117) -> Matrix(29,2,130,9) Matrix(637,1160,-542,-987) -> Matrix(89,6,-2062,-139) Matrix(639,1160,352,639) -> Matrix(269,18,4020,269) Matrix(289,522,160,289) -> Matrix(121,8,1830,121) Matrix(2553,4582,-1486,-2667) -> Matrix(213,14,-3332,-219) Matrix(4465,8004,1326,2377) -> Matrix(31,2,294,19) Matrix(3827,6844,-2660,-4757) -> Matrix(1,0,-4,1) Matrix(1915,3422,812,1451) -> Matrix(61,4,686,45) Matrix(7539,13456,3314,5915) -> Matrix(929,60,10668,689) Matrix(7541,13456,3316,5917) -> Matrix(931,60,10722,691) Matrix(813,1450,716,1277) -> Matrix(31,2,666,43) Matrix(2669,4756,1628,2901) -> Matrix(63,4,1118,71) Matrix(1043,1856,-848,-1509) -> Matrix(1,0,-6,1) Matrix(523,928,164,291) -> Matrix(31,2,294,19) Matrix(753,1334,556,985) -> Matrix(1,0,36,1) Matrix(755,1334,296,523) -> Matrix(1,0,26,1) Matrix(1973,3480,724,1277) -> Matrix(61,4,564,37) Matrix(1219,2146,956,1683) -> Matrix(61,4,1296,85) Matrix(1971,3422,868,1507) -> Matrix(27,2,310,23) Matrix(14443,25056,-8926,-15485) -> Matrix(211,14,-3572,-237) Matrix(7771,13456,3282,5683) -> Matrix(681,44,7816,505) Matrix(7773,13456,3284,5685) -> Matrix(683,44,7870,507) Matrix(637,1102,100,173) -> Matrix(125,8,578,37) Matrix(639,1102,236,407) -> Matrix(63,4,614,39) Matrix(1449,2494,-1180,-2031) -> Matrix(63,4,-1402,-89) Matrix(2901,4988,2092,3597) -> Matrix(63,4,1244,79) Matrix(14615,25114,-10734,-18445) -> Matrix(31,2,-760,-49) Matrix(5335,9164,3376,5799) -> Matrix(251,16,4314,275) Matrix(407,696,238,407) -> Matrix(159,10,2528,159) Matrix(579,986,340,579) -> Matrix(225,14,3616,225) Matrix(581,986,274,465) -> Matrix(97,6,1180,73) Matrix(5915,10034,2256,3827) -> Matrix(357,22,3716,229) Matrix(753,1276,-514,-871) -> Matrix(33,2,-578,-35) Matrix(755,1276,584,987) -> Matrix(33,2,742,45) Matrix(2203,3712,-1584,-2669) -> Matrix(65,4,-1284,-79) Matrix(173,290,34,57) -> Matrix(1,0,22,1) Matrix(1159,1914,-984,-1625) -> Matrix(33,2,-776,-47) Matrix(2145,3538,-1372,-2263) -> Matrix(65,4,-1154,-71) Matrix(811,1334,352,579) -> Matrix(33,2,346,21) Matrix(813,1334,142,233) -> Matrix(103,6,532,31) Matrix(2901,4756,1628,2669) -> Matrix(71,4,1118,63) Matrix(12991,21286,-9912,-16241) -> Matrix(49,2,-1054,-43) Matrix(4639,7598,1770,2899) -> Matrix(33,2,346,21) Matrix(8235,13456,3194,5219) -> Matrix(197,12,2052,125) Matrix(8237,13456,3196,5221) -> Matrix(199,12,2106,127) Matrix(1101,1798,248,405) -> Matrix(67,4,452,27) Matrix(1103,1798,392,639) -> Matrix(1,0,26,1) Matrix(7831,12760,4806,7831) -> Matrix(33,2,544,33) Matrix(17979,29290,11036,17979) -> Matrix(97,6,1568,97) Matrix(5163,8410,962,1567) -> Matrix(131,8,704,43) Matrix(463,754,-428,-697) -> Matrix(33,2,-842,-51) Matrix(927,1508,142,231) -> Matrix(65,4,276,17) Matrix(6729,10904,-4724,-7655) -> Matrix(401,24,-7736,-463) Matrix(51909,84100,19868,32189) -> Matrix(2579,154,27046,1615) Matrix(51911,84100,19870,32191) -> Matrix(2513,150,26420,1577) Matrix(4583,7424,-3186,-5161) -> Matrix(369,22,-7162,-427) Matrix(42513,68788,11936,19313) -> Matrix(509,30,4564,269) Matrix(52085,84274,14626,23665) -> Matrix(375,22,3392,199) Matrix(8353,13514,3012,4873) -> Matrix(33,2,346,21) Matrix(3479,5626,2510,4059) -> Matrix(235,14,4616,275) Matrix(4699,7598,1830,2959) -> Matrix(269,16,2774,165) Matrix(6207,10034,2548,4119) -> Matrix(539,32,5710,339) Matrix(755,1218,468,755) -> Matrix(271,16,4590,271) Matrix(289,464,180,289) -> Matrix(103,6,1768,103) Matrix(291,464,-254,-405) -> Matrix(35,2,-858,-49) Matrix(1277,2030,-948,-1507) -> Matrix(35,2,-718,-41) Matrix(695,1102,292,463) -> Matrix(35,2,402,23) Matrix(2089,3306,1320,2089) -> Matrix(101,6,1700,101) Matrix(7481,11832,4730,7481) -> Matrix(579,34,9860,579) Matrix(697,1102,74,117) -> Matrix(171,10,530,31) Matrix(5799,9164,3376,5335) -> Matrix(275,16,4314,251) Matrix(4001,6322,3046,4813) -> Matrix(137,8,2894,169) Matrix(2203,3480,954,1507) -> Matrix(69,4,776,45) Matrix(405,638,-332,-523) -> Matrix(69,4,-1570,-91) Matrix(2145,3364,776,1217) -> Matrix(35,2,612,35) Matrix(2147,3364,778,1219) -> Matrix(35,2,52,3) Matrix(927,1450,296,463) -> Matrix(35,2,262,15) Matrix(8641,13514,3300,5161) -> Matrix(141,8,1498,85) Matrix(521,812,-410,-639) -> Matrix(35,2,-788,-45) Matrix(1159,1798,448,695) -> Matrix(37,2,388,21) Matrix(639,986,-488,-753) -> Matrix(1,0,-4,1) Matrix(1509,2320,-1282,-1971) -> Matrix(71,4,-1580,-89) Matrix(871,1334,190,291) -> Matrix(71,4,408,23) Matrix(987,1450,356,523) -> Matrix(1,0,30,1) Matrix(637,928,278,405) -> Matrix(37,2,388,21) Matrix(639,928,440,639) -> Matrix(189,10,3572,189) Matrix(521,754,360,521) -> Matrix(153,8,2926,153) Matrix(2377,3422,2054,2957) -> Matrix(155,8,3778,195) Matrix(5279,7598,3426,4931) -> Matrix(233,12,4058,209) Matrix(1857,2668,1454,2089) -> Matrix(79,4,1718,87) Matrix(11311,16240,7878,11311) -> Matrix(279,14,5560,279) Matrix(17979,25810,12524,17979) -> Matrix(281,14,5640,281) Matrix(4001,5742,848,1217) -> Matrix(81,4,506,25) Matrix(4291,6148,-3644,-5221) -> Matrix(1,0,-2,1) Matrix(3769,5394,-2716,-3887) -> Matrix(73,4,-1442,-79) Matrix(3017,4292,2610,3713) -> Matrix(1,0,44,1) Matrix(5627,8004,2488,3539) -> Matrix(39,2,448,23) Matrix(4813,6844,-3794,-5395) -> Matrix(37,2,-796,-43) Matrix(1797,2552,1102,1565) -> Matrix(39,2,682,35) Matrix(2377,3364,696,985) -> Matrix(39,2,526,27) Matrix(2379,3364,698,987) -> Matrix(39,2,136,7) Matrix(4813,6786,2920,4117) -> Matrix(157,8,2610,133) Matrix(8641,12180,-6214,-8759) -> Matrix(39,2,-800,-41) Matrix(60609,84274,23150,32189) -> Matrix(1,0,30,1) Matrix(49475,68788,18898,26275) -> Matrix(39,2,448,23) Matrix(2087,2900,1168,1623) -> Matrix(77,4,1174,61) Matrix(60609,84100,16928,23489) -> Matrix(987,50,8350,423) Matrix(60611,84100,16930,23491) -> Matrix(909,46,7766,393) Matrix(2843,3944,-2466,-3421) -> Matrix(119,6,-2876,-145) Matrix(3597,4988,2092,2901) -> Matrix(79,4,1244,63) Matrix(4059,5626,2510,3479) -> Matrix(275,14,4616,235) Matrix(755,1044,546,755) -> Matrix(199,10,3960,199) Matrix(463,638,336,463) -> Matrix(121,6,2440,121) Matrix(465,638,-422,-579) -> Matrix(41,2,-1046,-51) Matrix(1101,1508,-890,-1219) -> Matrix(41,2,-964,-47) Matrix(1739,2378,-1358,-1857) -> Matrix(41,2,-882,-43) Matrix(2377,3248,1400,1913) -> Matrix(121,6,1956,97) Matrix(5451,7424,3832,5219) -> Matrix(1,0,40,1) Matrix(61769,84100,16400,22329) -> Matrix(59,2,442,15) Matrix(61771,84100,16402,22331) -> Matrix(23,2,172,15) Matrix(811,1102,170,231) -> Matrix(121,6,746,37) Matrix(985,1334,556,753) -> Matrix(1,0,36,1) Matrix(2493,3364,644,869) -> Matrix(41,2,348,17) Matrix(2495,3364,646,871) -> Matrix(41,2,266,13) Matrix(175,232,132,175) -> Matrix(41,2,840,41) Matrix(1101,1450,836,1101) -> Matrix(253,12,5334,253) Matrix(2029,2668,308,405) -> Matrix(297,14,1294,61) Matrix(4813,6322,3046,4001) -> Matrix(169,8,2894,137) Matrix(4467,5858,1018,1335) -> Matrix(171,8,1090,51) Matrix(41063,53824,9734,12759) -> Matrix(1891,88,12270,571) Matrix(41065,53824,9736,12761) -> Matrix(2065,96,13444,625) Matrix(755,986,134,175) -> Matrix(85,4,446,21) Matrix(10323,13456,2402,3131) -> Matrix(171,8,1090,51) Matrix(10325,13456,2404,3133) -> Matrix(173,8,1146,53) Matrix(4523,5858,1074,1391) -> Matrix(305,14,2026,93) Matrix(1971,2552,268,347) -> Matrix(263,12,1030,47) Matrix(987,1276,584,755) -> Matrix(45,2,742,33) Matrix(1393,1798,540,697) -> Matrix(45,2,472,21) Matrix(407,522,46,59) -> Matrix(85,4,276,13) Matrix(4351,5568,3400,4351) -> Matrix(43,2,924,43) Matrix(7481,9570,5848,7481) -> Matrix(85,4,1806,85) Matrix(1043,1334,362,463) -> Matrix(43,2,408,19) Matrix(2089,2668,1454,1857) -> Matrix(87,4,1718,79) Matrix(4409,5626,2728,3481) -> Matrix(125,6,2104,101) Matrix(1683,2146,956,1219) -> Matrix(85,4,1296,61) Matrix(10555,13456,2274,2899) -> Matrix(343,16,2208,103) Matrix(10557,13456,2276,2901) -> Matrix(345,16,2264,105) Matrix(4525,5742,1372,1741) -> Matrix(41,2,348,17) Matrix(871,1102,230,291) -> Matrix(87,4,674,31) Matrix(1103,1392,874,1103) -> Matrix(219,10,4796,219) Matrix(231,290,184,231) -> Matrix(45,2,1012,45) Matrix(233,290,94,117) -> Matrix(45,2,472,21) Matrix(2725,3364,516,637) -> Matrix(59,2,324,11) Matrix(2727,3364,518,639) -> Matrix(31,2,170,11) Matrix(6843,8410,2642,3247) -> Matrix(219,10,2168,99) Matrix(521,638,236,289) -> Matrix(89,4,1090,49) Matrix(811,986,190,231) -> Matrix(45,2,292,13) Matrix(1101,1334,430,521) -> Matrix(91,4,978,43) Matrix(1103,1334,912,1103) -> Matrix(183,8,4186,183) Matrix(289,348,240,289) -> Matrix(47,2,1104,47) Matrix(2727,3248,1900,2263) -> Matrix(49,2,1004,41) Matrix(929,1102,392,465) -> Matrix(51,2,586,23) Matrix(1277,1508,492,581) -> Matrix(1,0,32,1) Matrix(2263,2668,542,639) -> Matrix(137,6,936,41) Matrix(349,406,300,349) -> Matrix(47,2,1104,47) Matrix(1101,1276,950,1101) -> Matrix(145,6,3504,145) Matrix(2205,2552,502,581) -> Matrix(97,4,606,25) Matrix(3713,4292,2610,3017) -> Matrix(1,0,44,1) Matrix(1277,1450,716,813) -> Matrix(43,2,666,31) Matrix(463,522,102,115) -> Matrix(49,2,318,13) Matrix(985,1102,362,405) -> Matrix(1,0,34,1) Matrix(1,0,2,1) -> Matrix(1,0,54,1) Matrix(523,-580,156,-173) -> Matrix(51,-2,434,-17) Matrix(405,-464,254,-291) -> Matrix(49,-2,858,-35) Matrix(347,-406,100,-117) -> Matrix(47,-2,400,-17) Matrix(1625,-1914,984,-1159) -> Matrix(47,-2,776,-33) Matrix(927,-1102,196,-233) -> Matrix(47,-2,306,-13) Matrix(523,-638,332,-405) -> Matrix(91,-4,1570,-69) Matrix(2031,-2494,1180,-1449) -> Matrix(89,-4,1402,-63) Matrix(753,-928,142,-175) -> Matrix(41,-2,226,-11) Matrix(1219,-1508,890,-1101) -> Matrix(47,-2,964,-41) Matrix(639,-812,410,-521) -> Matrix(45,-2,788,-35) Matrix(1275,-1624,274,-349) -> Matrix(87,-4,544,-25) Matrix(6089,-7772,2500,-3191) -> Matrix(47,-2,494,-21) Matrix(1857,-2378,1358,-1739) -> Matrix(43,-2,882,-41) Matrix(581,-754,178,-231) -> Matrix(43,-2,366,-17) Matrix(579,-754,268,-349) -> Matrix(43,-2,538,-25) Matrix(753,-986,488,-639) -> Matrix(1,0,-4,1) Matrix(1159,-1566,430,-581) -> Matrix(41,-2,390,-19) Matrix(1449,-1972,640,-871) -> Matrix(41,-2,472,-23) Matrix(637,-870,298,-407) -> Matrix(1,0,-8,1) Matrix(1565,-2146,466,-639) -> Matrix(1,0,-12,1) Matrix(1797,-2494,544,-755) -> Matrix(79,-4,652,-33) Matrix(291,-406,124,-173) -> Matrix(1,0,-8,1) Matrix(289,-406,42,-59) -> Matrix(79,-4,336,-17) Matrix(2261,-3190,864,-1219) -> Matrix(79,-4,810,-41) Matrix(985,-1392,288,-407) -> Matrix(39,-2,410,-21) Matrix(695,-986,246,-349) -> Matrix(39,-2,332,-17) Matrix(1509,-2146,244,-347) -> Matrix(39,-2,176,-9) Matrix(1507,-2146,408,-581) -> Matrix(39,-2,254,-13) Matrix(1739,-2494,486,-697) -> Matrix(39,-2,332,-17) Matrix(523,-754,120,-173) -> Matrix(77,-4,520,-27) Matrix(871,-1276,514,-753) -> Matrix(35,-2,578,-33) Matrix(869,-1334,114,-175) -> Matrix(1,0,-14,1) Matrix(5799,-8932,2260,-3481) -> Matrix(209,-12,2212,-127) Matrix(637,-986,188,-291) -> Matrix(1,0,-10,1) Matrix(929,-1450,148,-231) -> Matrix(177,-10,832,-47) Matrix(2263,-3538,1372,-2145) -> Matrix(71,-4,1154,-65) Matrix(1333,-2088,482,-755) -> Matrix(35,-2,508,-29) Matrix(985,-1566,256,-407) -> Matrix(1,0,-10,1) Matrix(1567,-2494,546,-869) -> Matrix(1,0,-8,1) Matrix(1971,-3190,574,-929) -> Matrix(101,-6,926,-55) Matrix(465,-754,214,-347) -> Matrix(33,-2,446,-27) Matrix(6091,-9918,1816,-2957) -> Matrix(1,0,-8,1) Matrix(1277,-2088,496,-811) -> Matrix(1,0,-6,1) Matrix(6265,-10266,1486,-2435) -> Matrix(43,-2,280,-13) Matrix(1333,-2204,176,-291) -> Matrix(167,-10,618,-37) Matrix(2031,-3422,860,-1449) -> Matrix(65,-4,764,-47) Matrix(4581,-7772,992,-1683) -> Matrix(227,-14,1508,-93) Matrix(5975,-10266,1586,-2725) -> Matrix(125,-8,922,-59) Matrix(3539,-6090,1988,-3421) -> Matrix(63,-4,1024,-65) Matrix(1741,-3016,736,-1275) -> Matrix(123,-8,1430,-93) Matrix(233,-406,66,-115) -> Matrix(31,-2,264,-17) Matrix(4291,-7656,1886,-3365) -> Matrix(497,-32,5700,-367) Matrix(4119,-7366,940,-1681) -> Matrix(61,-4,412,-27) Matrix(1101,-1972,292,-523) -> Matrix(31,-2,202,-13) Matrix(987,-1798,286,-521) -> Matrix(59,-4,546,-37) Matrix(407,-754,156,-289) -> Matrix(1,0,-4,1) Matrix(405,-754,94,-175) -> Matrix(1,0,-8,1) Matrix(463,-870,124,-233) -> Matrix(29,-2,218,-15) Matrix(1159,-2494,270,-581) -> Matrix(27,-2,176,-13) Matrix(1857,-4060,424,-927) -> Matrix(101,-8,644,-51) Matrix(6437,-14094,2464,-5395) -> Matrix(399,-32,4202,-337) Matrix(291,-638,26,-57) -> Matrix(99,-8,260,-21) Matrix(523,-1160,78,-173) -> Matrix(25,-2,88,-7) Matrix(2029,-4582,848,-1915) -> Matrix(93,-8,1058,-91) Matrix(3017,-6844,920,-2087) -> Matrix(47,-4,294,-25) Matrix(813,-1856,152,-347) -> Matrix(1,0,-6,1) Matrix(10613,-25056,4054,-9571) -> Matrix(23,-2,242,-21) Matrix(1045,-2494,194,-463) -> Matrix(21,-2,116,-11) Matrix(10499,-25114,2788,-6669) -> Matrix(183,-16,1384,-121) Matrix(523,-1276,166,-405) -> Matrix(21,-2,200,-19) Matrix(1509,-3712,424,-1043) -> Matrix(43,-4,398,-37) Matrix(755,-1914,114,-289) -> Matrix(47,-4,200,-17) Matrix(1393,-3538,502,-1275) -> Matrix(23,-2,242,-21) Matrix(8295,-21286,1966,-5045) -> Matrix(253,-24,1634,-155) Matrix(291,-754,22,-57) -> Matrix(39,-4,88,-9) Matrix(4175,-10904,1244,-3249) -> Matrix(85,-8,712,-67) Matrix(2841,-7424,866,-2263) -> Matrix(21,-2,116,-11) Matrix(173,-464,22,-59) -> Matrix(21,-2,74,-7) Matrix(753,-2030,194,-523) -> Matrix(1,0,-2,1) Matrix(233,-638,42,-115) -> Matrix(17,-2,94,-11) Matrix(291,-812,62,-173) -> Matrix(19,-2,124,-13) Matrix(347,-986,82,-233) -> Matrix(19,-2,124,-13) Matrix(811,-2320,122,-349) -> Matrix(39,-4,166,-17) Matrix(1857,-6148,280,-927) -> Matrix(31,-4,132,-17) Matrix(1625,-5394,454,-1507) -> Matrix(19,-2,162,-17) Matrix(2031,-6844,430,-1449) -> Matrix(17,-2,94,-11) Matrix(3539,-12180,994,-3421) -> Matrix(53,-6,486,-55) Matrix(1101,-3944,146,-523) -> Matrix(49,-6,188,-23) Matrix(173,-638,16,-59) -> Matrix(29,-4,80,-11) Matrix(407,-1508,78,-289) -> Matrix(17,-2,94,-11) Matrix(639,-2378,140,-521) -> Matrix(31,-4,194,-25) 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): 140 Degree of the the map X: 140 Degree of the the map Y: 420 ----------------------------------------------------------------------- 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. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.