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: 90 Genus: 136 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -16/19 -14/19 -12/19 -10/19 -1/2 -8/19 -113/304 -20/57 -6/19 -23/76 -5/18 -21/76 -41/152 -1/4 -8/35 -3/14 -4/19 -6/29 -3/16 -1/6 -4/25 -4/31 -1/8 -2/19 -1/10 -2/21 -1/12 0/1 1/11 1/10 2/19 1/9 1/8 5/38 2/15 1/7 2/13 3/19 1/6 4/23 3/17 2/11 7/38 3/16 1/5 4/19 3/14 8/37 25/114 2/9 3/13 4/17 9/38 1/4 5/19 5/18 2/7 11/38 8/27 10/33 6/19 1/3 7/19 15/38 2/5 5/12 8/19 17/38 7/15 1/2 10/19 11/19 56/95 12/19 73/114 37/57 2/3 13/19 27/38 14/19 29/38 89/114 15/19 31/38 47/57 16/19 33/38 17/19 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/1 -9/10 -1/1 1/1 -17/19 1/1 -8/9 1/1 3/2 -15/17 5/3 -7/8 1/1 3/1 -6/7 1/1 2/1 -11/13 3/1 -16/19 1/0 -5/6 1/1 3/1 -24/29 1/1 2/1 -19/23 3/1 -14/17 2/1 1/0 -9/11 5/1 -31/38 1/0 -22/27 -6/1 1/0 -13/16 -1/1 1/1 -4/5 1/1 1/0 -15/19 1/0 -26/33 -6/1 1/0 -37/47 -3/1 -48/61 -4/1 1/0 -11/14 -3/1 -1/1 -29/37 -1/1 -18/23 -1/1 0/1 -25/32 -1/1 1/1 -7/9 1/1 -31/40 -5/3 -1/1 -24/31 0/1 1/0 -41/53 1/1 -58/75 0/1 1/0 -17/22 -1/1 1/1 -10/13 1/1 2/1 -3/4 -1/1 1/1 -14/19 1/0 -25/34 -5/1 -3/1 -36/49 -2/1 1/0 -11/15 -1/1 -30/41 -1/1 1/0 -19/26 -5/3 -1/1 -46/63 -1/1 -6/7 -27/37 -1/1 -8/11 0/1 1/0 -13/18 1/3 1/1 -44/61 2/1 1/0 -31/43 -3/1 -49/68 -1/1 1/1 -18/25 0/1 1/0 -23/32 1/3 1/1 -28/39 1/1 4/3 -5/7 1/1 -27/38 1/0 -22/31 -4/1 1/0 -17/24 -3/1 -1/1 -12/17 0/1 1/0 -19/27 -3/1 -26/37 -2/1 -1/1 -7/10 -1/1 1/1 -16/23 0/1 1/1 -25/36 1/3 1/1 -34/49 0/1 1/0 -9/13 1/1 -20/29 -1/1 0/1 -31/45 -1/1 -11/16 -1/1 1/1 -13/19 1/0 -2/3 0/1 1/0 -15/23 -1/1 -13/20 -1/1 1/1 -11/17 -1/1 -20/31 2/1 1/0 -9/14 -1/1 1/1 -25/39 -1/1 -41/64 -1/1 -1/3 -98/153 -1/2 0/1 -57/89 -1/3 -73/114 0/1 -16/25 0/1 1/0 -39/61 -1/1 -23/36 -3/1 -1/1 -7/11 -1/1 -12/19 0/1 -17/27 1/1 -22/35 1/2 1/1 -27/43 3/1 -5/8 -1/1 1/1 -28/45 0/1 1/2 -23/37 1/1 -18/29 1/1 2/1 -13/21 3/1 -21/34 -3/1 -1/1 -8/13 -1/1 0/1 -19/31 -1/1 -68/111 1/2 1/1 -49/80 1/1 3/1 -30/49 0/1 1/0 -11/18 -3/1 -1/1 -25/41 -1/1 -14/23 -1/1 0/1 -17/28 -1/1 -1/3 -3/5 1/1 -16/27 4/1 1/0 -13/22 -3/1 -1/1 -36/61 -2/1 -3/2 -23/39 -1/1 -10/17 -1/2 0/1 -27/46 -1/1 1/1 -17/29 1/1 -41/70 -1/1 1/1 -24/41 -1/1 1/0 -7/12 -1/1 -1/3 -25/43 -1/1 -68/117 -3/8 -1/3 -111/191 -1/3 -43/74 -1/3 -5/17 -18/31 -1/4 0/1 -11/19 0/1 -4/7 0/1 1/1 -17/30 1/3 1/1 -13/23 1/1 -22/39 1/1 2/1 -9/16 -1/1 1/1 -23/41 1/1 -37/66 1/1 3/1 -14/25 0/1 1/0 -19/34 1/3 1/1 -62/111 3/4 1/1 -43/77 1/1 -24/43 2/1 1/0 -5/9 -1/1 -11/20 1/5 1/3 -6/11 0/1 1/2 -7/13 1/1 -15/28 1/1 3/1 -8/15 0/1 1/0 -9/17 1/1 -10/19 0/1 -1/2 -1/1 1/1 -6/13 2/3 1/1 -17/37 1/1 -28/61 4/3 3/2 -11/24 1/1 5/3 -5/11 1/1 -9/20 1/1 3/1 -22/49 4/1 1/0 -35/78 13/3 5/1 -13/29 7/1 -17/38 1/0 -4/9 -1/1 1/0 -7/16 -1/1 1/1 -17/39 1/1 -10/23 0/1 1/1 -33/76 1/1 -23/53 1/1 -13/30 1/1 3/1 -3/7 1/1 -8/19 1/0 -13/31 -5/1 -31/74 -17/5 -3/1 -18/43 -2/1 1/0 -23/55 -3/1 -5/12 -1/1 1/1 -22/53 0/1 1/1 -17/41 1/1 -63/152 1/0 -46/111 -1/1 1/0 -29/70 -1/1 1/1 -12/29 0/1 1/1 -7/17 -1/1 -23/56 -1/1 1/1 -39/95 0/1 -16/39 0/1 1/1 -9/22 1/1 3/1 -2/5 1/1 1/0 -15/38 1/0 -13/33 -13/1 -24/61 -8/1 1/0 -11/28 -7/1 -5/1 -20/51 -4/1 1/0 -9/23 -3/1 -16/41 -3/1 1/0 -7/18 -3/1 -1/1 -19/49 -3/1 -31/80 -5/3 -1/1 -43/111 -1/1 -12/31 -2/1 1/0 -29/75 -1/1 -46/119 -1/2 0/1 -17/44 -1/1 1/1 -22/57 1/0 -5/13 -1/1 -18/47 0/1 1/1 -31/81 1/1 -44/115 6/7 1/1 -57/149 1/1 -13/34 1/1 3/1 -21/55 7/1 -29/76 1/0 -8/21 -4/1 1/0 -19/50 -3/1 -1/1 -49/129 -3/1 -30/79 -2/1 1/0 -41/108 -3/1 -1/1 -11/29 -1/1 -36/95 -2/1 -25/66 -5/3 -1/1 -14/37 -4/3 -1/1 -17/45 -1/1 -3/8 -1/1 1/1 -16/43 0/1 1/2 -29/78 7/9 1/1 -71/191 1/1 -113/304 1/1 -42/113 1/1 12/11 -13/35 1/1 -23/62 1/1 3/1 -56/151 2/1 1/0 -33/89 3/1 -10/27 2/1 1/0 -7/19 1/0 -4/11 -2/1 1/0 -9/25 -1/1 -14/39 -1/1 -2/3 -5/14 -1/1 1/1 -6/17 -2/1 1/0 -13/37 -1/1 -20/57 -1/1 -7/20 -1/1 -3/5 -1/3 -1/1 -6/19 0/1 -11/35 1/1 -5/16 -1/1 1/1 -4/13 -2/1 -1/1 -11/36 -1/1 -1/3 -29/95 -1/2 -18/59 -1/2 0/1 -7/23 -1/1 -10/33 -1/4 0/1 -23/76 0/1 -13/43 1/3 -3/10 -1/1 1/1 -17/57 -1/1 -14/47 -1/1 -2/3 -11/37 -1/1 -19/64 -1/1 -3/5 -27/91 -3/5 -8/27 -2/3 -1/2 -21/71 -1/3 -34/115 -1/3 -4/13 -13/44 -1/1 -1/3 -31/105 -1/3 -18/61 -1/2 0/1 -5/17 -1/3 -22/75 -1/2 0/1 -39/133 0/1 -17/58 -1/1 -1/3 -12/41 -1/2 -1/3 -19/65 -1/3 -7/24 -1/3 -1/5 -23/79 -1/5 -16/55 -1/6 0/1 -25/86 -1/5 -1/7 -9/31 -1/9 -11/38 0/1 -2/7 0/1 1/1 -7/25 -1/1 -12/43 -1/2 0/1 -17/61 1/1 -5/18 -1/1 1/1 -13/47 -1/5 -21/76 0/1 -8/29 0/1 1/3 -19/69 1/3 -11/40 1/1 3/1 -3/11 1/1 -10/37 -1/1 0/1 -17/63 -1/1 -41/152 -1/1 -24/89 -1/1 -10/11 -7/26 -1/1 -3/5 -25/93 -1/3 -18/67 -1/1 -1/2 -11/41 -1/1 -26/97 0/1 1/0 -15/56 -1/1 -5/7 -4/15 -1/2 0/1 -5/19 0/1 -6/23 0/1 1/3 -13/50 1/3 1/1 -7/27 1/3 -1/4 -1/1 1/1 -6/25 -1/2 0/1 -11/46 -1/1 -1/3 -5/21 -1/5 -9/38 0/1 -4/17 0/1 1/4 -7/30 1/3 1/1 -10/43 0/1 1/0 -3/13 1/1 -11/48 -1/1 1/1 -19/83 1/3 -8/35 1/1 1/0 -13/57 1/0 -5/22 -1/1 1/1 -2/9 -1/1 1/0 -9/41 -1/1 -25/114 0/1 -16/73 0/1 1/0 -7/32 -1/1 1/1 -19/87 1/1 -12/55 0/1 1/0 -29/133 1/0 -17/78 -3/1 -1/1 -5/23 -1/1 -8/37 -2/1 -1/1 -3/14 -1/1 -1/3 -4/19 0/1 -5/24 1/3 1/1 -16/77 0/1 1/2 -11/53 1/3 -6/29 0/1 1/1 -1/5 1/1 -5/26 -1/1 1/1 -4/21 -2/1 1/0 -11/58 -9/7 -1/1 -18/95 -1/1 -7/37 -1/1 -3/16 -1/1 -1/3 -14/75 -1/2 0/1 -11/59 -1/3 -8/43 -1/2 0/1 -13/70 -1/3 -1/5 -5/27 -1/5 -7/38 0/1 -2/11 0/1 1/2 -7/39 1/1 -5/28 1/1 3/1 -13/73 1/1 -8/45 2/1 1/0 -3/17 -1/1 -10/57 0/1 -7/40 1/3 1/1 -4/23 0/1 1/1 -1/6 -1/1 1/1 -4/25 -1/2 0/1 -3/19 0/1 -2/13 0/1 1/1 -1/7 1/1 -3/22 -1/1 1/1 -2/15 -1/2 0/1 -5/38 0/1 -3/23 1/3 -4/31 0/1 1/2 -1/8 -1/1 1/1 -1/9 -1/1 -2/19 0/1 -1/10 -1/1 1/1 -2/21 0/1 1/0 -1/11 1/1 -1/12 -1/1 1/1 0/1 0/1 1/0 1/11 -1/1 1/10 -1/1 1/1 2/19 0/1 1/9 1/1 1/8 -1/1 1/1 3/23 -1/3 5/38 0/1 2/15 0/1 1/2 3/22 -1/1 1/1 1/7 -1/1 2/13 -1/1 0/1 3/19 0/1 1/6 -1/1 1/1 4/23 -1/1 0/1 3/17 1/1 5/28 -3/1 -1/1 2/11 -1/2 0/1 7/38 0/1 5/27 1/5 13/70 1/5 1/3 8/43 0/1 1/2 3/16 1/3 1/1 4/21 2/1 1/0 1/5 -1/1 4/19 0/1 7/33 1/3 10/47 0/1 1/3 3/14 1/3 1/1 8/37 1/1 2/1 5/23 1/1 12/55 0/1 1/0 19/87 -1/1 7/32 -1/1 1/1 16/73 0/1 1/0 25/114 0/1 9/41 1/1 2/9 1/1 1/0 3/13 -1/1 7/30 -1/1 -1/3 4/17 -1/4 0/1 9/38 0/1 5/21 1/5 1/4 -1/1 1/1 7/27 -1/3 6/23 -1/3 0/1 5/19 0/1 4/15 0/1 1/2 15/56 5/7 1/1 26/97 0/1 1/0 11/41 1/1 18/67 1/2 1/1 7/26 3/5 1/1 10/37 0/1 1/1 3/11 -1/1 11/40 -3/1 -1/1 19/69 -1/3 8/29 -1/3 0/1 5/18 -1/1 1/1 12/43 0/1 1/2 19/68 -1/1 1/1 7/25 1/1 2/7 -1/1 0/1 11/38 0/1 9/31 1/9 25/86 1/7 1/5 41/141 1/5 16/55 0/1 1/6 7/24 1/5 1/3 12/41 1/3 1/2 5/17 1/3 18/61 0/1 1/2 31/105 1/3 13/44 1/3 1/1 8/27 1/2 2/3 19/64 3/5 1/1 11/37 1/1 3/10 -1/1 1/1 10/33 0/1 1/4 17/56 1/3 1/1 7/23 1/1 4/13 1/1 2/1 5/16 -1/1 1/1 6/19 0/1 1/3 1/1 7/20 3/5 1/1 6/17 2/1 1/0 5/14 -1/1 1/1 14/39 2/3 1/1 23/64 7/9 1/1 9/25 1/1 4/11 2/1 1/0 7/19 1/0 10/27 -2/1 1/0 23/62 -3/1 -1/1 36/97 -2/1 -3/2 13/35 -1/1 16/43 -1/2 0/1 3/8 -1/1 1/1 14/37 1/1 4/3 11/29 1/1 41/108 1/1 3/1 30/79 2/1 1/0 19/50 1/1 3/1 8/21 4/1 1/0 13/34 -3/1 -1/1 44/115 -1/1 -6/7 31/81 -1/1 18/47 -1/1 0/1 5/13 1/1 17/44 -1/1 1/1 46/119 0/1 1/2 29/75 1/1 12/31 2/1 1/0 7/18 1/1 3/1 30/77 2/1 1/0 23/59 3/1 16/41 3/1 1/0 9/23 3/1 20/51 4/1 1/0 11/28 5/1 7/1 13/33 13/1 15/38 1/0 2/5 -1/1 1/0 9/22 -3/1 -1/1 16/39 -1/1 0/1 7/17 1/1 12/29 -1/1 0/1 29/70 -1/1 1/1 17/41 -1/1 5/12 -1/1 1/1 8/19 1/0 11/26 -7/1 -5/1 25/59 -3/1 39/92 -5/1 -3/1 14/33 -4/1 1/0 31/73 -3/1 48/113 -40/13 -3/1 17/40 -3/1 -13/5 3/7 -1/1 16/37 -1/1 -2/3 13/30 -3/1 -1/1 10/23 -1/1 0/1 17/39 -1/1 41/94 -1/1 -9/11 24/55 -2/3 -1/2 7/16 -1/1 1/1 18/41 -1/1 1/0 47/107 -1/3 29/66 -1/1 1/1 11/25 -1/1 4/9 1/1 1/0 17/38 1/0 13/29 -7/1 9/20 -3/1 -1/1 14/31 -2/1 1/0 33/73 -3/1 52/115 -3/1 -26/9 19/42 -3/1 -7/3 5/11 -1/1 11/24 -5/3 -1/1 17/37 -1/1 6/13 -1/1 -2/3 7/15 -1/1 1/2 -1/1 1/1 10/19 0/1 9/17 -1/1 8/15 0/1 1/0 15/28 -3/1 -1/1 7/13 -1/1 6/11 -1/2 0/1 5/9 1/1 24/43 -2/1 1/0 43/77 -1/1 19/34 -1/1 -1/3 33/59 1/3 14/25 0/1 1/0 37/66 -3/1 -1/1 23/41 -1/1 32/57 0/1 9/16 -1/1 1/1 22/39 -2/1 -1/1 13/23 -1/1 4/7 -1/1 0/1 11/19 0/1 18/31 0/1 1/4 43/74 5/17 1/3 25/43 1/1 32/55 2/5 1/2 7/12 1/3 1/1 24/41 1/1 1/0 17/29 -1/1 27/46 -1/1 1/1 10/17 0/1 1/2 33/56 7/9 1/1 56/95 1/1 79/134 1/1 17/15 23/39 1/1 59/100 1/1 7/5 36/61 3/2 2/1 13/22 1/1 3/1 16/27 -4/1 1/0 19/32 -3/1 -1/1 3/5 -1/1 14/23 0/1 1/1 53/87 1/1 92/151 0/1 1/2 39/64 1/3 1/1 25/41 1/1 11/18 1/1 3/1 41/67 -3/1 30/49 0/1 1/0 49/80 -3/1 -1/1 117/191 -1/1 68/111 -1/1 -1/2 19/31 1/1 8/13 0/1 1/1 13/21 -3/1 18/29 -2/1 -1/1 59/95 -1/1 41/66 -1/1 -1/3 23/37 -1/1 28/45 -1/2 0/1 5/8 -1/1 1/1 12/19 0/1 19/30 1/3 1/1 45/71 3/5 71/112 9/11 1/1 168/265 20/21 1/1 265/418 1/1 97/153 1/1 26/41 1/1 1/0 33/52 1/3 1/1 7/11 1/1 23/36 1/1 3/1 62/97 0/1 1/0 39/61 1/1 16/25 0/1 1/0 73/114 0/1 57/89 1/3 98/153 0/1 1/2 41/64 1/3 1/1 25/39 1/1 9/14 -1/1 1/1 20/31 -2/1 1/0 51/79 -1/1 31/48 -3/1 -1/1 11/17 1/1 24/37 -1/1 0/1 37/57 0/1 50/77 0/1 1/0 13/20 -1/1 1/1 15/23 1/1 17/26 -1/1 1/1 2/3 0/1 1/0 13/19 1/0 24/35 -1/1 1/0 11/16 -1/1 1/1 31/45 1/1 20/29 0/1 1/1 9/13 -1/1 52/75 0/1 1/0 43/62 -1/1 1/1 34/49 0/1 1/0 25/36 -1/1 -1/3 66/95 0/1 41/59 1/1 16/23 -1/1 0/1 23/33 -1/3 53/76 0/1 30/43 0/1 1/4 7/10 -1/1 1/1 40/57 0/1 33/47 1/1 26/37 1/1 2/1 19/27 3/1 12/17 0/1 1/0 17/24 1/1 3/1 22/31 4/1 1/0 27/38 1/0 5/7 -1/1 28/39 -4/3 -1/1 51/71 -1/1 23/32 -1/1 -1/3 41/57 0/1 18/25 0/1 1/0 49/68 -1/1 1/1 31/43 3/1 75/104 -5/1 -3/1 44/61 -2/1 1/0 13/18 -1/1 -1/3 34/47 -1/5 0/1 55/76 0/1 21/29 1/3 8/11 0/1 1/0 35/48 3/5 1/1 27/37 1/1 46/63 6/7 1/1 111/152 1/1 65/89 1/1 19/26 1/1 5/3 30/41 1/1 1/0 11/15 1/1 14/19 1/0 17/23 -3/1 37/50 -3/1 -1/1 20/27 -2/1 1/0 3/4 -1/1 1/1 16/21 6/1 1/0 29/38 1/0 13/17 -5/1 10/13 -2/1 -1/1 17/22 -1/1 1/1 75/97 1/1 58/75 0/1 1/0 41/53 -1/1 65/84 1/3 1/1 24/31 0/1 1/0 31/40 1/1 5/3 38/49 2/1 1/0 7/9 -1/1 32/41 1/1 1/0 89/114 1/0 57/73 -1/1 25/32 -1/1 1/1 18/23 0/1 1/1 29/37 1/1 11/14 1/1 3/1 48/61 4/1 1/0 37/47 3/1 26/33 6/1 1/0 15/19 1/0 4/5 -1/1 1/0 13/16 -1/1 1/1 22/27 6/1 1/0 31/38 1/0 9/11 -5/1 14/17 -2/1 1/0 47/57 1/0 80/97 -4/1 1/0 33/40 -3/1 -1/1 19/23 -3/1 62/75 -2/1 1/0 43/52 -3/1 -1/1 24/29 -2/1 -1/1 5/6 -3/1 -1/1 16/19 1/0 27/32 -5/1 -3/1 11/13 -3/1 6/7 -2/1 -1/1 13/15 -1/1 33/38 -1/1 20/23 -1/1 0/1 7/8 -3/1 -1/1 22/25 -2/1 1/0 15/17 -5/3 23/26 -7/5 -1/1 8/9 -3/2 -1/1 17/19 -1/1 9/10 -1/1 1/1 1/1 -1/1 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(305,278,418,381) (-1/1,-9/10) -> (35/48,27/37) Hyperbolic Matrix(1369,1228,2204,1977) (-9/10,-17/19) -> (59/95,41/66) Hyperbolic Matrix(305,272,342,305) (-17/19,-8/9) -> (8/9,17/19) Hyperbolic Matrix(531,470,-1976,-1749) (-8/9,-15/17) -> (-25/93,-18/67) Hyperbolic Matrix(227,200,-950,-837) (-15/17,-7/8) -> (-11/46,-5/21) Hyperbolic Matrix(151,130,-266,-229) (-7/8,-6/7) -> (-4/7,-17/30) Hyperbolic Matrix(75,64,266,227) (-6/7,-11/13) -> (7/25,2/7) Hyperbolic Matrix(381,322,-988,-835) (-11/13,-16/19) -> (-22/57,-5/13) Hyperbolic Matrix(455,382,-1178,-989) (-16/19,-5/6) -> (-17/44,-22/57) Hyperbolic Matrix(913,756,2204,1825) (-5/6,-24/29) -> (12/29,29/70) Hyperbolic Matrix(457,378,-2204,-1823) (-24/29,-19/23) -> (-11/53,-6/29) Hyperbolic Matrix(533,440,-1748,-1443) (-19/23,-14/17) -> (-18/59,-7/23) Hyperbolic Matrix(455,374,646,531) (-14/17,-9/11) -> (19/27,12/17) Hyperbolic Matrix(683,558,836,683) (-9/11,-31/38) -> (31/38,9/11) Hyperbolic Matrix(1673,1364,2052,1673) (-31/38,-22/27) -> (22/27,31/38) Hyperbolic Matrix(607,494,1026,835) (-22/27,-13/16) -> (13/22,16/27) Hyperbolic Matrix(77,62,190,153) (-13/16,-4/5) -> (2/5,9/22) Hyperbolic Matrix(151,120,190,151) (-4/5,-15/19) -> (15/19,4/5) Hyperbolic Matrix(989,780,1254,989) (-15/19,-26/33) -> (26/33,15/19) Hyperbolic Matrix(1293,1018,2318,1825) (-26/33,-37/47) -> (5/9,24/43) Hyperbolic Matrix(2737,2154,9272,7297) (-37/47,-48/61) -> (18/61,31/105) Hyperbolic Matrix(4103,3228,6954,5471) (-48/61,-11/14) -> (59/100,36/61) Hyperbolic Matrix(683,536,1064,835) (-11/14,-29/37) -> (25/39,9/14) Hyperbolic Matrix(761,596,1748,1369) (-29/37,-18/23) -> (10/23,17/39) Hyperbolic Matrix(151,118,874,683) (-18/23,-25/32) -> (1/6,4/23) Hyperbolic Matrix(913,712,-1558,-1215) (-25/32,-7/9) -> (-17/29,-41/70) Hyperbolic Matrix(835,648,-1862,-1445) (-7/9,-31/40) -> (-35/78,-13/29) Hyperbolic Matrix(2053,1590,3534,2737) (-31/40,-24/31) -> (18/31,43/74) Hyperbolic Matrix(305,236,-2356,-1823) (-24/31,-41/53) -> (-3/23,-4/31) Hyperbolic Matrix(1673,1294,-8056,-6231) (-41/53,-58/75) -> (-16/77,-11/53) Hyperbolic Matrix(533,412,-2850,-2203) (-58/75,-17/22) -> (-3/16,-14/75) Hyperbolic Matrix(153,118,494,381) (-17/22,-10/13) -> (4/13,5/16) Hyperbolic Matrix(305,234,-494,-379) (-10/13,-3/4) -> (-21/34,-8/13) Hyperbolic Matrix(531,392,-722,-533) (-3/4,-14/19) -> (-14/19,-25/34) Parabolic Matrix(3421,2514,5586,4105) (-25/34,-36/49) -> (30/49,49/80) Hyperbolic Matrix(1443,1060,-4864,-3573) (-36/49,-11/15) -> (-27/91,-8/27) Hyperbolic Matrix(609,446,1558,1141) (-11/15,-30/41) -> (16/41,9/23) Hyperbolic Matrix(911,666,1558,1139) (-30/41,-19/26) -> (7/12,24/41) Hyperbolic Matrix(1065,778,-3952,-2887) (-19/26,-46/63) -> (-24/89,-7/26) Hyperbolic Matrix(1293,944,2812,2053) (-46/63,-27/37) -> (17/37,6/13) Hyperbolic Matrix(151,110,-836,-609) (-27/37,-8/11) -> (-2/11,-7/39) Hyperbolic Matrix(229,166,-418,-303) (-8/11,-13/18) -> (-11/20,-6/11) Hyperbolic Matrix(987,712,3686,2659) (-13/18,-44/61) -> (4/15,15/56) Hyperbolic Matrix(1825,1316,-4636,-3343) (-44/61,-31/43) -> (-13/33,-24/61) Hyperbolic Matrix(3877,2794,6118,4409) (-31/43,-49/68) -> (19/30,45/71) Hyperbolic Matrix(683,492,-2850,-2053) (-49/68,-18/25) -> (-6/25,-11/46) Hyperbolic Matrix(153,110,-950,-683) (-18/25,-23/32) -> (-1/6,-4/25) Hyperbolic Matrix(1595,1146,-5396,-3877) (-23/32,-28/39) -> (-34/115,-13/44) Hyperbolic Matrix(229,164,532,381) (-28/39,-5/7) -> (3/7,16/37) Hyperbolic Matrix(379,270,532,379) (-5/7,-27/38) -> (27/38,5/7) Hyperbolic Matrix(1673,1188,2356,1673) (-27/38,-22/31) -> (22/31,27/38) Hyperbolic Matrix(759,538,1178,835) (-22/31,-17/24) -> (9/14,20/31) Hyperbolic Matrix(229,162,646,457) (-17/24,-12/17) -> (6/17,5/14) Hyperbolic Matrix(531,374,646,455) (-12/17,-19/27) -> (9/11,14/17) Hyperbolic Matrix(381,268,1406,989) (-19/27,-26/37) -> (10/37,3/11) Hyperbolic Matrix(1065,748,-2812,-1975) (-26/37,-7/10) -> (-25/66,-14/37) Hyperbolic Matrix(531,370,-874,-609) (-7/10,-16/23) -> (-14/23,-17/28) Hyperbolic Matrix(305,212,-1748,-1215) (-16/23,-25/36) -> (-7/40,-4/23) Hyperbolic Matrix(2507,1740,-5586,-3877) (-25/36,-34/49) -> (-22/49,-35/78) Hyperbolic Matrix(1747,1212,-4712,-3269) (-34/49,-9/13) -> (-33/89,-10/27) Hyperbolic Matrix(379,262,988,683) (-9/13,-20/29) -> (18/47,5/13) Hyperbolic Matrix(911,628,3306,2279) (-20/29,-31/45) -> (19/69,8/29) Hyperbolic Matrix(151,104,1102,759) (-31/45,-11/16) -> (3/22,1/7) Hyperbolic Matrix(303,208,-1330,-913) (-11/16,-13/19) -> (-13/57,-5/22) Hyperbolic Matrix(77,52,114,77) (-13/19,-2/3) -> (2/3,13/19) Hyperbolic Matrix(837,548,-2204,-1443) (-2/3,-15/23) -> (-49/129,-30/79) Hyperbolic Matrix(531,346,1748,1139) (-15/23,-13/20) -> (17/56,7/23) Hyperbolic Matrix(531,344,-1292,-837) (-13/20,-11/17) -> (-7/17,-23/56) Hyperbolic Matrix(229,148,-1292,-835) (-11/17,-20/31) -> (-8/45,-3/17) Hyperbolic Matrix(835,538,1178,759) (-20/31,-9/14) -> (17/24,22/31) Hyperbolic Matrix(835,536,1064,683) (-9/14,-25/39) -> (29/37,11/14) Hyperbolic Matrix(1445,926,4864,3117) (-25/39,-41/64) -> (19/64,11/37) Hyperbolic Matrix(11855,7594,19456,12463) (-41/64,-98/153) -> (92/151,39/64) Hyperbolic Matrix(6005,3846,8664,5549) (-98/153,-57/89) -> (9/13,52/75) Hyperbolic Matrix(12995,8322,20292,12995) (-57/89,-73/114) -> (73/114,57/89) Hyperbolic Matrix(3649,2336,5700,3649) (-73/114,-16/25) -> (16/25,73/114) Hyperbolic Matrix(1445,924,3686,2357) (-16/25,-39/61) -> (9/23,20/51) Hyperbolic Matrix(1217,778,-5586,-3571) (-39/61,-23/36) -> (-17/78,-5/23) Hyperbolic Matrix(229,146,836,533) (-23/36,-7/11) -> (3/11,11/40) Hyperbolic Matrix(455,288,-722,-457) (-7/11,-12/19) -> (-12/19,-17/27) Parabolic Matrix(989,622,-3382,-2127) (-17/27,-22/35) -> (-12/41,-19/65) Hyperbolic Matrix(3799,2386,-6536,-4105) (-22/35,-27/43) -> (-25/43,-68/117) Hyperbolic Matrix(2355,1478,3268,2051) (-27/43,-5/8) -> (49/68,31/43) Hyperbolic Matrix(77,48,-608,-379) (-5/8,-28/45) -> (-4/31,-1/8) Hyperbolic Matrix(1749,1088,4522,2813) (-28/45,-23/37) -> (29/75,12/31) Hyperbolic Matrix(837,520,-2812,-1747) (-23/37,-18/29) -> (-14/47,-11/37) Hyperbolic Matrix(455,282,1102,683) (-18/29,-13/21) -> (7/17,12/29) Hyperbolic Matrix(987,610,-2584,-1597) (-13/21,-21/34) -> (-13/34,-21/55) Hyperbolic Matrix(75,46,494,303) (-8/13,-19/31) -> (1/7,2/13) Hyperbolic Matrix(5775,3538,13148,8055) (-19/31,-68/111) -> (18/41,47/107) Hyperbolic Matrix(7069,4330,-12654,-7751) (-68/111,-49/80) -> (-19/34,-62/111) Hyperbolic Matrix(1747,1070,2356,1443) (-49/80,-30/49) -> (20/27,3/4) Hyperbolic Matrix(837,512,-1862,-1139) (-30/49,-11/18) -> (-9/20,-22/49) Hyperbolic Matrix(305,186,874,533) (-11/18,-25/41) -> (1/3,7/20) Hyperbolic Matrix(1293,788,-3116,-1899) (-25/41,-14/23) -> (-22/53,-17/41) Hyperbolic Matrix(379,230,-1254,-761) (-17/28,-3/5) -> (-13/43,-3/10) Hyperbolic Matrix(607,360,-2052,-1217) (-3/5,-16/27) -> (-8/27,-21/71) Hyperbolic Matrix(835,494,1026,607) (-16/27,-13/22) -> (13/16,22/27) Hyperbolic Matrix(227,134,1672,987) (-13/22,-36/61) -> (2/15,3/22) Hyperbolic Matrix(2129,1256,-4636,-2735) (-36/61,-23/39) -> (-17/37,-28/61) Hyperbolic Matrix(455,268,-1292,-761) (-23/39,-10/17) -> (-6/17,-13/37) Hyperbolic Matrix(303,178,1292,759) (-10/17,-27/46) -> (7/30,4/17) Hyperbolic Matrix(75,44,646,379) (-27/46,-17/29) -> (1/9,1/8) Hyperbolic Matrix(4409,2582,-10640,-6231) (-41/70,-24/41) -> (-46/111,-29/70) Hyperbolic Matrix(1139,666,1558,911) (-24/41,-7/12) -> (19/26,30/41) Hyperbolic Matrix(227,132,-1178,-685) (-7/12,-25/43) -> (-1/5,-5/26) Hyperbolic Matrix(26677,15504,43548,25309) (-68/117,-111/191) -> (117/191,68/111) Hyperbolic Matrix(10793,6272,-29032,-16871) (-111/191,-43/74) -> (-29/78,-71/191) Hyperbolic Matrix(2737,1590,3534,2053) (-43/74,-18/31) -> (24/31,31/40) Hyperbolic Matrix(683,396,1178,683) (-18/31,-11/19) -> (11/19,18/31) Hyperbolic Matrix(153,88,266,153) (-11/19,-4/7) -> (4/7,11/19) Hyperbolic Matrix(989,560,-2280,-1291) (-17/30,-13/23) -> (-23/53,-13/30) Hyperbolic Matrix(379,214,1748,987) (-13/23,-22/39) -> (8/37,5/23) Hyperbolic Matrix(607,342,1482,835) (-22/39,-9/16) -> (9/22,16/39) Hyperbolic Matrix(381,214,-1216,-683) (-9/16,-23/41) -> (-11/35,-5/16) Hyperbolic Matrix(1063,596,-5966,-3345) (-23/41,-37/66) -> (-5/28,-13/73) Hyperbolic Matrix(1595,894,4066,2279) (-37/66,-14/25) -> (20/51,11/28) Hyperbolic Matrix(229,128,-950,-531) (-14/25,-19/34) -> (-1/4,-6/25) Hyperbolic Matrix(12769,7132,20140,11249) (-62/111,-43/77) -> (97/153,26/41) Hyperbolic Matrix(4789,2674,12388,6917) (-43/77,-24/43) -> (46/119,29/75) Hyperbolic Matrix(1825,1018,2318,1293) (-24/43,-5/9) -> (37/47,26/33) Hyperbolic Matrix(305,168,-1102,-607) (-5/9,-11/20) -> (-5/18,-13/47) Hyperbolic Matrix(151,82,418,227) (-6/11,-7/13) -> (9/25,4/11) Hyperbolic Matrix(685,368,1558,837) (-7/13,-15/28) -> (29/66,11/25) Hyperbolic Matrix(837,448,-2128,-1139) (-15/28,-8/15) -> (-24/61,-11/28) Hyperbolic Matrix(381,202,1292,685) (-8/15,-9/17) -> (5/17,18/61) Hyperbolic Matrix(1901,1004,2736,1445) (-9/17,-10/19) -> (66/95,41/59) Hyperbolic Matrix(607,316,874,455) (-10/19,-1/2) -> (25/36,66/95) Hyperbolic Matrix(151,70,-494,-229) (-1/2,-6/13) -> (-4/13,-11/36) Hyperbolic Matrix(2053,944,2812,1293) (-6/13,-17/37) -> (27/37,46/63) Hyperbolic Matrix(1823,836,2318,1063) (-28/61,-11/24) -> (11/14,48/61) Hyperbolic Matrix(533,244,-1824,-835) (-11/24,-5/11) -> (-19/65,-7/24) Hyperbolic Matrix(457,206,-1178,-531) (-5/11,-9/20) -> (-7/18,-19/49) Hyperbolic Matrix(987,442,2204,987) (-13/29,-17/38) -> (17/38,13/29) Hyperbolic Matrix(305,136,684,305) (-17/38,-4/9) -> (4/9,17/38) Hyperbolic Matrix(77,34,-342,-151) (-4/9,-7/16) -> (-5/22,-2/9) Hyperbolic Matrix(229,100,-1216,-531) (-7/16,-17/39) -> (-7/37,-3/16) Hyperbolic Matrix(1369,596,1748,761) (-17/39,-10/23) -> (18/23,29/37) Hyperbolic Matrix(2279,990,2622,1139) (-10/23,-33/76) -> (33/38,20/23) Hyperbolic Matrix(2737,1188,3154,1369) (-33/76,-23/53) -> (13/15,33/38) Hyperbolic Matrix(531,230,-1406,-609) (-13/30,-3/7) -> (-17/45,-3/8) Hyperbolic Matrix(303,128,-722,-305) (-3/7,-8/19) -> (-8/19,-13/31) Parabolic Matrix(1747,732,6346,2659) (-13/31,-31/74) -> (11/40,19/69) Hyperbolic Matrix(2431,1018,-6536,-2737) (-31/74,-18/43) -> (-16/43,-29/78) Hyperbolic Matrix(913,382,-4902,-2051) (-18/43,-23/55) -> (-11/59,-8/43) Hyperbolic Matrix(685,286,-2546,-1063) (-23/55,-5/12) -> (-7/26,-25/93) Hyperbolic Matrix(761,316,-2926,-1215) (-5/12,-22/53) -> (-6/23,-13/50) Hyperbolic Matrix(12313,5104,15770,6537) (-17/41,-63/152) -> (89/114,57/73) Hyperbolic Matrix(14743,6110,18886,7827) (-63/152,-46/111) -> (32/41,89/114) Hyperbolic Matrix(1825,756,2204,913) (-29/70,-12/29) -> (24/29,5/6) Hyperbolic Matrix(683,282,1102,455) (-12/29,-7/17) -> (13/21,18/29) Hyperbolic Matrix(3799,1560,-12958,-5321) (-23/56,-39/95) -> (-39/133,-17/58) Hyperbolic Matrix(3723,1528,5738,2355) (-39/95,-16/39) -> (24/37,37/57) Hyperbolic Matrix(835,342,1482,607) (-16/39,-9/22) -> (9/16,22/39) Hyperbolic Matrix(153,62,190,77) (-9/22,-2/5) -> (4/5,13/16) Hyperbolic Matrix(151,60,380,151) (-2/5,-15/38) -> (15/38,2/5) Hyperbolic Matrix(989,390,2508,989) (-15/38,-13/33) -> (13/33,15/38) Hyperbolic Matrix(2279,894,4066,1595) (-11/28,-20/51) -> (14/25,37/66) Hyperbolic Matrix(2357,924,3686,1445) (-20/51,-9/23) -> (39/61,16/25) Hyperbolic Matrix(1141,446,1558,609) (-9/23,-16/41) -> (30/41,11/15) Hyperbolic Matrix(913,356,-3116,-1215) (-16/41,-7/18) -> (-17/58,-12/41) Hyperbolic Matrix(609,236,2356,913) (-19/49,-31/80) -> (1/4,7/27) Hyperbolic Matrix(6003,2326,-15694,-6081) (-31/80,-43/111) -> (-57/149,-13/34) Hyperbolic Matrix(3801,1472,5890,2281) (-43/111,-12/31) -> (20/31,51/79) Hyperbolic Matrix(2813,1088,4522,1749) (-12/31,-29/75) -> (23/37,28/45) Hyperbolic Matrix(6917,2674,12388,4789) (-29/75,-46/119) -> (24/43,43/77) Hyperbolic Matrix(1899,734,10222,3951) (-46/119,-17/44) -> (13/70,8/43) Hyperbolic Matrix(683,262,988,379) (-5/13,-18/47) -> (20/29,9/13) Hyperbolic Matrix(1139,436,5358,2051) (-18/47,-31/81) -> (7/33,10/47) Hyperbolic Matrix(8133,3112,11324,4333) (-31/81,-44/115) -> (28/39,51/71) Hyperbolic Matrix(10717,4100,25232,9653) (-44/115,-57/149) -> (31/73,48/113) Hyperbolic Matrix(2583,986,3382,1291) (-21/55,-29/76) -> (29/38,13/17) Hyperbolic Matrix(1825,696,2394,913) (-29/76,-8/21) -> (16/21,29/38) Hyperbolic Matrix(305,116,-1596,-607) (-8/21,-19/50) -> (-5/26,-4/21) Hyperbolic Matrix(5623,2136,7600,2887) (-19/50,-49/129) -> (17/23,37/50) Hyperbolic Matrix(2281,866,10412,3953) (-30/79,-41/108) -> (7/32,16/73) Hyperbolic Matrix(3725,1414,12616,4789) (-41/108,-11/29) -> (31/105,13/44) Hyperbolic Matrix(153,58,1406,533) (-11/29,-36/95) -> (2/19,1/9) Hyperbolic Matrix(227,86,2204,835) (-36/95,-25/66) -> (1/10,2/19) Hyperbolic Matrix(1445,546,2014,761) (-14/37,-17/45) -> (5/7,28/39) Hyperbolic Matrix(913,340,3268,1217) (-3/8,-16/43) -> (12/43,19/68) Hyperbolic Matrix(80103,29776,126350,46967) (-71/191,-113/304) -> (265/418,97/153) Hyperbolic Matrix(81017,30114,127794,47501) (-113/304,-42/113) -> (168/265,265/418) Hyperbolic Matrix(5549,2062,12274,4561) (-42/113,-13/35) -> (33/73,52/115) Hyperbolic Matrix(1671,620,-5738,-2129) (-13/35,-23/62) -> (-7/24,-23/79) Hyperbolic Matrix(10337,3834,12502,4637) (-23/62,-56/151) -> (62/75,43/52) Hyperbolic Matrix(17329,6426,27056,10033) (-56/151,-33/89) -> (57/89,98/153) Hyperbolic Matrix(379,140,1026,379) (-10/27,-7/19) -> (7/19,10/27) Hyperbolic Matrix(153,56,418,153) (-7/19,-4/11) -> (4/11,7/19) Hyperbolic Matrix(227,82,418,151) (-4/11,-9/25) -> (7/13,6/11) Hyperbolic Matrix(913,328,-3382,-1215) (-9/25,-14/39) -> (-10/37,-17/63) Hyperbolic Matrix(229,82,1064,381) (-14/39,-5/14) -> (3/14,8/37) Hyperbolic Matrix(457,162,646,229) (-5/14,-6/17) -> (12/17,17/24) Hyperbolic Matrix(1065,374,-5624,-1975) (-13/37,-20/57) -> (-18/95,-7/37) Hyperbolic Matrix(987,346,-5206,-1825) (-20/57,-7/20) -> (-11/58,-18/95) Hyperbolic Matrix(533,186,874,305) (-7/20,-1/3) -> (25/41,11/18) Hyperbolic Matrix(227,72,-722,-229) (-1/3,-6/19) -> (-6/19,-11/35) Parabolic Matrix(381,118,494,153) (-5/16,-4/13) -> (10/13,17/22) Hyperbolic Matrix(2659,812,-12198,-3725) (-11/36,-29/95) -> (-29/133,-17/78) Hyperbolic Matrix(4103,1252,4978,1519) (-29/95,-18/59) -> (14/17,47/57) Hyperbolic Matrix(837,254,-3002,-911) (-7/23,-10/33) -> (-12/43,-17/61) Hyperbolic Matrix(4029,1220,5776,1749) (-10/33,-23/76) -> (53/76,30/43) Hyperbolic Matrix(4027,1218,5776,1747) (-23/76,-13/43) -> (23/33,53/76) Hyperbolic Matrix(683,204,760,227) (-3/10,-17/57) -> (17/19,9/10) Hyperbolic Matrix(3799,1132,6118,1823) (-17/57,-14/47) -> (18/29,59/95) Hyperbolic Matrix(3117,926,4864,1445) (-11/37,-19/64) -> (41/64,25/39) Hyperbolic Matrix(2507,744,3838,1139) (-19/64,-27/91) -> (15/23,17/26) Hyperbolic Matrix(6689,1978,17480,5169) (-21/71,-34/115) -> (44/115,31/81) Hyperbolic Matrix(4789,1414,12616,3725) (-13/44,-31/105) -> (11/29,41/108) Hyperbolic Matrix(7297,2154,9272,2737) (-31/105,-18/61) -> (48/61,37/47) Hyperbolic Matrix(685,202,1292,381) (-18/61,-5/17) -> (9/17,8/15) Hyperbolic Matrix(1063,312,-5700,-1673) (-5/17,-22/75) -> (-14/75,-11/59) Hyperbolic Matrix(9425,2764,14516,4257) (-22/75,-39/133) -> (37/57,50/77) Hyperbolic Matrix(2659,774,9918,2887) (-23/79,-16/55) -> (26/97,11/41) Hyperbolic Matrix(227,66,-2356,-685) (-16/55,-25/86) -> (-1/10,-2/21) Hyperbolic Matrix(4941,1436,11248,3269) (-25/86,-9/31) -> (47/107,29/66) Hyperbolic Matrix(683,198,2356,683) (-9/31,-11/38) -> (11/38,9/31) Hyperbolic Matrix(153,44,532,153) (-11/38,-2/7) -> (2/7,11/38) Hyperbolic Matrix(227,64,266,75) (-2/7,-7/25) -> (11/13,6/7) Hyperbolic Matrix(379,106,-1634,-457) (-7/25,-12/43) -> (-10/43,-3/13) Hyperbolic Matrix(1063,296,1634,455) (-17/61,-5/18) -> (13/20,15/23) Hyperbolic Matrix(4181,1156,5776,1597) (-13/47,-21/76) -> (55/76,21/29) Hyperbolic Matrix(4179,1154,5776,1595) (-21/76,-8/29) -> (34/47,55/76) Hyperbolic Matrix(2279,628,3306,911) (-8/29,-19/69) -> (31/45,20/29) Hyperbolic Matrix(1293,356,3040,837) (-19/69,-11/40) -> (17/40,3/7) Hyperbolic Matrix(533,146,836,229) (-11/40,-3/11) -> (7/11,23/36) Hyperbolic Matrix(989,268,1406,381) (-3/11,-10/37) -> (26/37,19/27) Hyperbolic Matrix(16873,4552,23104,6233) (-17/63,-41/152) -> (111/152,65/89) Hyperbolic Matrix(16871,4550,23104,6231) (-41/152,-24/89) -> (46/63,111/152) Hyperbolic Matrix(685,184,3116,837) (-18/67,-11/41) -> (9/41,2/9) Hyperbolic Matrix(2737,734,7372,1977) (-11/41,-26/97) -> (36/97,13/35) Hyperbolic Matrix(5321,1426,12198,3269) (-26/97,-15/56) -> (41/94,24/55) Hyperbolic Matrix(2659,712,3686,987) (-15/56,-4/15) -> (44/61,13/18) Hyperbolic Matrix(151,40,570,151) (-4/15,-5/19) -> (5/19,4/15) Hyperbolic Matrix(229,60,874,229) (-5/19,-6/23) -> (6/23,5/19) Hyperbolic Matrix(77,20,-874,-227) (-13/50,-7/27) -> (-1/11,-1/12) Hyperbolic Matrix(533,138,1178,305) (-7/27,-1/4) -> (19/42,5/11) Hyperbolic Matrix(379,90,1596,379) (-5/21,-9/38) -> (9/38,5/21) Hyperbolic Matrix(305,72,1292,305) (-9/38,-4/17) -> (4/17,9/38) Hyperbolic Matrix(759,178,1292,303) (-4/17,-7/30) -> (27/46,10/17) Hyperbolic Matrix(609,142,1634,381) (-7/30,-10/43) -> (16/43,3/8) Hyperbolic Matrix(531,122,988,227) (-3/13,-11/48) -> (15/28,7/13) Hyperbolic Matrix(2507,574,8626,1975) (-11/48,-19/83) -> (9/31,25/86) Hyperbolic Matrix(6309,1444,10298,2357) (-19/83,-8/35) -> (68/111,19/31) Hyperbolic Matrix(1823,416,2660,607) (-8/35,-13/57) -> (13/19,24/35) Hyperbolic Matrix(837,184,3116,685) (-2/9,-9/41) -> (11/41,18/67) Hyperbolic Matrix(2051,450,9348,2051) (-9/41,-25/114) -> (25/114,9/41) Hyperbolic Matrix(3649,800,16644,3649) (-25/114,-16/73) -> (16/73,25/114) Hyperbolic Matrix(3953,866,10412,2281) (-16/73,-7/32) -> (41/108,30/79) Hyperbolic Matrix(1291,282,6954,1519) (-7/32,-19/87) -> (5/27,13/70) Hyperbolic Matrix(229,50,-2432,-531) (-19/87,-12/55) -> (-2/21,-1/11) Hyperbolic Matrix(13225,2884,16036,3497) (-12/55,-29/133) -> (47/57,80/97) Hyperbolic Matrix(987,214,1748,379) (-5/23,-8/37) -> (22/39,13/23) Hyperbolic Matrix(381,82,1064,229) (-8/37,-3/14) -> (5/14,14/39) Hyperbolic Matrix(151,32,-722,-153) (-3/14,-4/19) -> (-4/19,-5/24) Parabolic Matrix(4559,948,6574,1367) (-5/24,-16/77) -> (52/75,43/62) Hyperbolic Matrix(989,204,2584,533) (-6/29,-1/5) -> (31/81,18/47) Hyperbolic Matrix(1823,346,6802,1291) (-4/21,-11/58) -> (15/56,26/97) Hyperbolic Matrix(3951,734,10222,1899) (-8/43,-13/70) -> (17/44,46/119) Hyperbolic Matrix(1519,282,6954,1291) (-13/70,-5/27) -> (19/87,7/32) Hyperbolic Matrix(379,70,2052,379) (-5/27,-7/38) -> (7/38,5/27) Hyperbolic Matrix(153,28,836,153) (-7/38,-2/11) -> (2/11,7/38) Hyperbolic Matrix(379,68,418,75) (-7/39,-5/28) -> (9/10,1/1) Hyperbolic Matrix(2507,446,5548,987) (-13/73,-8/45) -> (14/31,33/73) Hyperbolic Matrix(683,120,1292,227) (-3/17,-10/57) -> (10/19,9/17) Hyperbolic Matrix(457,80,874,153) (-10/57,-7/40) -> (1/2,10/19) Hyperbolic Matrix(683,118,874,151) (-4/23,-1/6) -> (25/32,18/23) Hyperbolic Matrix(1367,218,1900,303) (-4/25,-3/19) -> (41/57,18/25) Hyperbolic Matrix(77,12,494,77) (-3/19,-2/13) -> (2/13,3/19) Hyperbolic Matrix(303,46,494,75) (-2/13,-1/7) -> (19/31,8/13) Hyperbolic Matrix(759,104,1102,151) (-1/7,-3/22) -> (11/16,31/45) Hyperbolic Matrix(987,134,1672,227) (-3/22,-2/15) -> (36/61,13/22) Hyperbolic Matrix(151,20,1140,151) (-2/15,-5/38) -> (5/38,2/15) Hyperbolic Matrix(229,30,1748,229) (-5/38,-3/23) -> (3/23,5/38) Hyperbolic Matrix(379,44,646,75) (-1/8,-1/9) -> (17/29,27/46) Hyperbolic Matrix(987,106,1406,151) (-1/9,-2/19) -> (40/57,33/47) Hyperbolic Matrix(533,54,760,77) (-2/19,-1/10) -> (7/10,40/57) Hyperbolic Matrix(1217,98,1900,153) (-1/12,0/1) -> (98/153,41/64) Hyperbolic Matrix(1065,-92,1748,-151) (0/1,1/11) -> (53/87,92/151) Hyperbolic Matrix(685,-66,2356,-227) (1/11,1/10) -> (25/86,41/141) Hyperbolic Matrix(1823,-236,2356,-305) (1/8,3/23) -> (41/53,65/84) Hyperbolic Matrix(683,-110,950,-153) (3/19,1/6) -> (23/32,41/57) Hyperbolic Matrix(1215,-212,1748,-305) (4/23,3/17) -> (41/59,16/23) Hyperbolic Matrix(835,-148,1292,-229) (3/17,5/28) -> (31/48,11/17) Hyperbolic Matrix(609,-110,836,-151) (5/28,2/11) -> (8/11,35/48) Hyperbolic Matrix(1901,-354,4484,-835) (8/43,3/16) -> (39/92,14/33) Hyperbolic Matrix(531,-100,1216,-229) (3/16,4/21) -> (24/55,7/16) Hyperbolic Matrix(685,-132,1178,-227) (4/21,1/5) -> (25/43,32/55) Hyperbolic Matrix(153,-32,722,-151) (1/5,4/19) -> (4/19,7/33) Parabolic Matrix(2357,-502,2850,-607) (10/47,3/14) -> (43/52,24/29) Hyperbolic Matrix(3571,-778,5586,-1217) (5/23,12/55) -> (62/97,39/61) Hyperbolic Matrix(3647,-796,12540,-2737) (12/55,19/87) -> (41/141,16/55) Hyperbolic Matrix(151,-34,342,-77) (2/9,3/13) -> (11/25,4/9) Hyperbolic Matrix(457,-106,1634,-379) (3/13,7/30) -> (19/68,7/25) Hyperbolic Matrix(531,-128,950,-229) (5/21,1/4) -> (19/34,33/59) Hyperbolic Matrix(1597,-416,2622,-683) (7/27,6/23) -> (14/23,53/87) Hyperbolic Matrix(1749,-470,1976,-531) (18/67,7/26) -> (23/26,8/9) Hyperbolic Matrix(1215,-328,3382,-913) (7/26,10/37) -> (14/39,23/64) Hyperbolic Matrix(989,-274,1368,-379) (8/29,5/18) -> (13/18,34/47) Hyperbolic Matrix(911,-254,3002,-837) (5/18,12/43) -> (10/33,17/56) Hyperbolic Matrix(2129,-620,5738,-1671) (16/55,7/24) -> (23/62,36/97) Hyperbolic Matrix(1977,-578,3116,-911) (7/24,12/41) -> (26/41,33/52) Hyperbolic Matrix(1215,-356,3116,-913) (12/41,5/17) -> (23/59,16/41) Hyperbolic Matrix(1217,-360,2052,-607) (13/44,8/27) -> (16/27,19/32) Hyperbolic Matrix(2279,-676,3078,-913) (8/27,19/64) -> (37/50,20/27) Hyperbolic Matrix(1747,-520,2812,-837) (11/37,3/10) -> (41/66,23/37) Hyperbolic Matrix(531,-160,760,-229) (3/10,10/33) -> (30/43,7/10) Hyperbolic Matrix(229,-70,494,-151) (7/23,4/13) -> (6/13,7/15) Hyperbolic Matrix(683,-214,1216,-381) (5/16,6/19) -> (32/57,9/16) Hyperbolic Matrix(533,-170,950,-303) (6/19,1/3) -> (23/41,32/57) Hyperbolic Matrix(761,-268,1292,-455) (7/20,6/17) -> (10/17,33/56) Hyperbolic Matrix(4635,-1666,6346,-2281) (23/64,9/25) -> (65/89,19/26) Hyperbolic Matrix(3269,-1212,4712,-1747) (10/27,23/62) -> (43/62,34/49) Hyperbolic Matrix(1823,-678,4294,-1597) (13/35,16/43) -> (14/33,31/73) Hyperbolic Matrix(609,-230,1406,-531) (3/8,14/37) -> (16/37,13/30) Hyperbolic Matrix(1975,-748,2812,-1065) (14/37,11/29) -> (33/47,26/37) Hyperbolic Matrix(1443,-548,2204,-837) (30/79,19/50) -> (17/26,2/3) Hyperbolic Matrix(1747,-664,3002,-1141) (19/50,8/21) -> (32/55,7/12) Hyperbolic Matrix(607,-232,798,-305) (8/21,13/34) -> (3/4,16/21) Hyperbolic Matrix(3953,-1512,8740,-3343) (13/34,44/115) -> (52/115,19/42) Hyperbolic Matrix(835,-322,988,-381) (5/13,17/44) -> (27/32,11/13) Hyperbolic Matrix(531,-206,1178,-457) (12/31,7/18) -> (9/20,14/31) Hyperbolic Matrix(1901,-740,2926,-1139) (7/18,30/77) -> (50/77,13/20) Hyperbolic Matrix(9197,-3584,11894,-4635) (30/77,23/59) -> (75/97,58/75) Hyperbolic Matrix(3343,-1316,4636,-1825) (11/28,13/33) -> (31/43,75/104) Hyperbolic Matrix(837,-344,1292,-531) (16/39,7/17) -> (11/17,24/37) Hyperbolic Matrix(5015,-2078,6422,-2661) (29/70,17/41) -> (57/73,25/32) Hyperbolic Matrix(1899,-788,3116,-1293) (17/41,5/12) -> (39/64,25/41) Hyperbolic Matrix(305,-128,722,-303) (5/12,8/19) -> (8/19,11/26) Parabolic Matrix(1747,-740,1976,-837) (11/26,25/59) -> (15/17,23/26) Hyperbolic Matrix(7903,-3350,10222,-4333) (25/59,39/92) -> (17/22,75/97) Hyperbolic Matrix(14743,-6264,23256,-9881) (48/113,17/40) -> (71/112,168/265) Hyperbolic Matrix(761,-330,874,-379) (13/30,10/23) -> (20/23,7/8) Hyperbolic Matrix(5243,-2286,8892,-3877) (17/39,41/94) -> (79/134,23/39) Hyperbolic Matrix(835,-366,1216,-533) (7/16,18/41) -> (24/35,11/16) Hyperbolic Matrix(1139,-512,1862,-837) (13/29,9/20) -> (11/18,41/67) Hyperbolic Matrix(531,-242,836,-381) (5/11,11/24) -> (33/52,7/11) Hyperbolic Matrix(2735,-1256,4636,-2129) (11/24,17/37) -> (23/39,59/100) Hyperbolic Matrix(533,-250,646,-303) (7/15,1/2) -> (33/40,19/23) Hyperbolic Matrix(2357,-1260,3268,-1747) (8/15,15/28) -> (75/104,44/61) Hyperbolic Matrix(303,-166,418,-229) (6/11,5/9) -> (21/29,8/11) Hyperbolic Matrix(7751,-4330,12654,-7069) (43/77,19/34) -> (49/80,117/191) Hyperbolic Matrix(1673,-936,1900,-1063) (33/59,14/25) -> (22/25,15/17) Hyperbolic Matrix(4637,-2600,7182,-4027) (37/66,23/41) -> (51/79,31/48) Hyperbolic Matrix(229,-130,266,-151) (13/23,4/7) -> (6/7,13/15) Hyperbolic Matrix(6383,-3710,10070,-5853) (43/74,25/43) -> (45/71,71/112) Hyperbolic Matrix(1215,-712,1558,-913) (24/41,17/29) -> (7/9,32/41) Hyperbolic Matrix(10641,-6272,18050,-10639) (33/56,56/95) -> (56/95,79/134) Parabolic Matrix(1747,-1038,2432,-1445) (19/32,3/5) -> (51/71,23/32) Hyperbolic Matrix(609,-370,874,-531) (3/5,14/23) -> (16/23,23/33) Hyperbolic Matrix(2889,-1768,3724,-2279) (41/67,30/49) -> (38/49,7/9) Hyperbolic Matrix(379,-234,494,-305) (8/13,13/21) -> (13/17,10/13) Hyperbolic Matrix(3117,-1940,4028,-2507) (28/45,5/8) -> (65/84,24/31) Hyperbolic Matrix(457,-288,722,-455) (5/8,12/19) -> (12/19,19/30) Parabolic Matrix(6081,-3886,7372,-4711) (23/36,62/97) -> (80/97,33/40) Hyperbolic Matrix(2887,-2004,3724,-2585) (34/49,25/36) -> (31/40,38/49) Hyperbolic Matrix(1671,-1204,1900,-1369) (18/25,49/68) -> (7/8,22/25) Hyperbolic Matrix(533,-392,722,-531) (11/15,14/19) -> (14/19,17/23) Parabolic Matrix(4711,-3644,5700,-4409) (58/75,41/53) -> (19/23,62/75) Hyperbolic Matrix(609,-512,722,-607) (5/6,16/19) -> (16/19,27/32) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-2,1) Matrix(305,278,418,381) -> Matrix(1,-2,2,-3) Matrix(1369,1228,2204,1977) -> Matrix(1,0,-2,1) Matrix(305,272,342,305) -> Matrix(5,-6,-4,5) Matrix(531,470,-1976,-1749) -> Matrix(1,-2,0,1) Matrix(227,200,-950,-837) -> Matrix(1,-2,-2,5) Matrix(151,130,-266,-229) -> Matrix(1,-2,2,-3) Matrix(75,64,266,227) -> Matrix(1,-2,0,1) Matrix(381,322,-988,-835) -> Matrix(1,-4,0,1) Matrix(455,382,-1178,-989) -> Matrix(1,-2,0,1) Matrix(913,756,2204,1825) -> Matrix(1,-2,0,1) Matrix(457,378,-2204,-1823) -> Matrix(1,-2,2,-3) Matrix(533,440,-1748,-1443) -> Matrix(1,-2,-2,5) Matrix(455,374,646,531) -> Matrix(1,-2,0,1) Matrix(683,558,836,683) -> Matrix(1,-10,0,1) Matrix(1673,1364,2052,1673) -> Matrix(1,12,0,1) Matrix(607,494,1026,835) -> Matrix(1,2,0,1) Matrix(77,62,190,153) -> Matrix(1,-2,0,1) Matrix(151,120,190,151) -> Matrix(1,-2,0,1) Matrix(989,780,1254,989) -> Matrix(1,12,0,1) Matrix(1293,1018,2318,1825) -> Matrix(1,4,0,1) Matrix(2737,2154,9272,7297) -> Matrix(1,4,2,9) Matrix(4103,3228,6954,5471) -> Matrix(3,10,2,7) Matrix(683,536,1064,835) -> Matrix(1,2,0,1) Matrix(761,596,1748,1369) -> Matrix(1,0,0,1) Matrix(151,118,874,683) -> Matrix(1,0,0,1) Matrix(913,712,-1558,-1215) -> Matrix(1,0,0,1) Matrix(835,648,-1862,-1445) -> Matrix(1,6,0,1) Matrix(2053,1590,3534,2737) -> Matrix(1,0,4,1) Matrix(305,236,-2356,-1823) -> Matrix(1,0,2,1) Matrix(1673,1294,-8056,-6231) -> Matrix(1,0,2,1) Matrix(533,412,-2850,-2203) -> Matrix(1,0,-2,1) Matrix(153,118,494,381) -> Matrix(1,0,0,1) Matrix(305,234,-494,-379) -> Matrix(1,-2,0,1) Matrix(531,392,-722,-533) -> Matrix(1,-4,0,1) Matrix(3421,2514,5586,4105) -> Matrix(1,2,0,1) Matrix(1443,1060,-4864,-3573) -> Matrix(1,4,-2,-7) Matrix(609,446,1558,1141) -> Matrix(1,4,0,1) Matrix(911,666,1558,1139) -> Matrix(1,2,0,1) Matrix(1065,778,-3952,-2887) -> Matrix(3,4,-4,-5) Matrix(1293,944,2812,2053) -> Matrix(5,4,-4,-3) Matrix(151,110,-836,-609) -> Matrix(1,0,2,1) Matrix(229,166,-418,-303) -> Matrix(1,0,2,1) Matrix(987,712,3686,2659) -> Matrix(1,-2,2,-3) Matrix(1825,1316,-4636,-3343) -> Matrix(1,-10,0,1) Matrix(3877,2794,6118,4409) -> Matrix(1,0,2,1) Matrix(683,492,-2850,-2053) -> Matrix(1,0,-2,1) Matrix(153,110,-950,-683) -> Matrix(1,0,-2,1) Matrix(1595,1146,-5396,-3877) -> Matrix(1,0,-4,1) Matrix(229,164,532,381) -> Matrix(1,-2,0,1) Matrix(379,270,532,379) -> Matrix(1,-2,0,1) Matrix(1673,1188,2356,1673) -> Matrix(1,8,0,1) Matrix(759,538,1178,835) -> Matrix(1,2,0,1) Matrix(229,162,646,457) -> Matrix(1,2,0,1) Matrix(531,374,646,455) -> Matrix(1,-2,0,1) Matrix(381,268,1406,989) -> Matrix(1,2,0,1) Matrix(1065,748,-2812,-1975) -> Matrix(3,2,-2,-1) Matrix(531,370,-874,-609) -> Matrix(1,0,-2,1) Matrix(305,212,-1748,-1215) -> Matrix(1,0,0,1) Matrix(2507,1740,-5586,-3877) -> Matrix(1,4,0,1) Matrix(1747,1212,-4712,-3269) -> Matrix(1,2,0,1) Matrix(379,262,988,683) -> Matrix(1,0,0,1) Matrix(911,628,3306,2279) -> Matrix(1,0,-2,1) Matrix(151,104,1102,759) -> Matrix(1,0,0,1) Matrix(303,208,-1330,-913) -> Matrix(1,0,0,1) Matrix(77,52,114,77) -> Matrix(1,0,0,1) Matrix(837,548,-2204,-1443) -> Matrix(1,-2,0,1) Matrix(531,346,1748,1139) -> Matrix(1,0,2,1) Matrix(531,344,-1292,-837) -> Matrix(1,0,0,1) Matrix(229,148,-1292,-835) -> Matrix(1,0,0,1) Matrix(835,538,1178,759) -> Matrix(1,2,0,1) Matrix(835,536,1064,683) -> Matrix(1,2,0,1) Matrix(1445,926,4864,3117) -> Matrix(3,2,4,3) Matrix(11855,7594,19456,12463) -> Matrix(1,0,4,1) Matrix(6005,3846,8664,5549) -> Matrix(1,0,2,1) Matrix(12995,8322,20292,12995) -> Matrix(1,0,6,1) Matrix(3649,2336,5700,3649) -> Matrix(1,0,0,1) Matrix(1445,924,3686,2357) -> Matrix(1,4,0,1) Matrix(1217,778,-5586,-3571) -> Matrix(1,0,0,1) Matrix(229,146,836,533) -> Matrix(1,0,0,1) Matrix(455,288,-722,-457) -> Matrix(1,0,2,1) Matrix(989,622,-3382,-2127) -> Matrix(1,0,-4,1) Matrix(3799,2386,-6536,-4105) -> Matrix(1,-2,-2,5) Matrix(2355,1478,3268,2051) -> Matrix(1,0,0,1) Matrix(77,48,-608,-379) -> Matrix(1,0,0,1) Matrix(1749,1088,4522,2813) -> Matrix(3,-2,2,-1) Matrix(837,520,-2812,-1747) -> Matrix(1,0,-2,1) Matrix(455,282,1102,683) -> Matrix(1,-2,0,1) Matrix(987,610,-2584,-1597) -> Matrix(1,4,0,1) Matrix(75,46,494,303) -> Matrix(1,0,0,1) Matrix(5775,3538,13148,8055) -> Matrix(1,0,-2,1) Matrix(7069,4330,-12654,-7751) -> Matrix(1,-2,2,-3) Matrix(1747,1070,2356,1443) -> Matrix(1,-2,0,1) Matrix(837,512,-1862,-1139) -> Matrix(1,4,0,1) Matrix(305,186,874,533) -> Matrix(1,0,2,1) Matrix(1293,788,-3116,-1899) -> Matrix(1,0,2,1) Matrix(379,230,-1254,-761) -> Matrix(1,0,2,1) Matrix(607,360,-2052,-1217) -> Matrix(1,-2,-2,5) Matrix(835,494,1026,607) -> Matrix(1,2,0,1) Matrix(227,134,1672,987) -> Matrix(1,2,0,1) Matrix(2129,1256,-4636,-2735) -> Matrix(5,6,4,5) Matrix(455,268,-1292,-761) -> Matrix(3,2,-2,-1) Matrix(303,178,1292,759) -> Matrix(1,0,-2,1) Matrix(75,44,646,379) -> Matrix(1,0,0,1) Matrix(4409,2582,-10640,-6231) -> Matrix(1,0,0,1) Matrix(1139,666,1558,911) -> Matrix(1,2,0,1) Matrix(227,132,-1178,-685) -> Matrix(1,0,2,1) Matrix(26677,15504,43548,25309) -> Matrix(11,4,-14,-5) Matrix(10793,6272,-29032,-16871) -> Matrix(19,6,22,7) Matrix(2737,1590,3534,2053) -> Matrix(1,0,4,1) Matrix(683,396,1178,683) -> Matrix(1,0,8,1) Matrix(153,88,266,153) -> Matrix(1,0,-2,1) Matrix(989,560,-2280,-1291) -> Matrix(3,-2,2,-1) Matrix(379,214,1748,987) -> Matrix(1,0,0,1) Matrix(607,342,1482,835) -> Matrix(1,-2,0,1) Matrix(381,214,-1216,-683) -> Matrix(1,0,0,1) Matrix(1063,596,-5966,-3345) -> Matrix(1,0,0,1) Matrix(1595,894,4066,2279) -> Matrix(1,4,0,1) Matrix(229,128,-950,-531) -> Matrix(1,0,-2,1) Matrix(12769,7132,20140,11249) -> Matrix(5,-4,4,-3) Matrix(4789,2674,12388,6917) -> Matrix(1,-2,2,-3) Matrix(1825,1018,2318,1293) -> Matrix(1,4,0,1) Matrix(305,168,-1102,-607) -> Matrix(1,0,-4,1) Matrix(151,82,418,227) -> Matrix(3,-2,2,-1) Matrix(685,368,1558,837) -> Matrix(1,-2,0,1) Matrix(837,448,-2128,-1139) -> Matrix(1,-8,0,1) Matrix(381,202,1292,685) -> Matrix(1,0,2,1) Matrix(1901,1004,2736,1445) -> Matrix(1,0,0,1) Matrix(607,316,874,455) -> Matrix(1,0,-2,1) Matrix(151,70,-494,-229) -> Matrix(1,0,-2,1) Matrix(2053,944,2812,1293) -> Matrix(3,-4,4,-5) Matrix(1823,836,2318,1063) -> Matrix(5,-8,2,-3) Matrix(533,244,-1824,-835) -> Matrix(1,-2,-2,5) Matrix(457,206,-1178,-531) -> Matrix(1,-4,0,1) Matrix(987,442,2204,987) -> Matrix(1,-14,0,1) Matrix(305,136,684,305) -> Matrix(1,2,0,1) Matrix(77,34,-342,-151) -> Matrix(1,0,0,1) Matrix(229,100,-1216,-531) -> Matrix(1,0,-2,1) Matrix(1369,596,1748,761) -> Matrix(1,0,0,1) Matrix(2279,990,2622,1139) -> Matrix(1,0,-2,1) Matrix(2737,1188,3154,1369) -> Matrix(5,-6,-4,5) Matrix(531,230,-1406,-609) -> Matrix(1,-2,0,1) Matrix(303,128,-722,-305) -> Matrix(1,-6,0,1) Matrix(1747,732,6346,2659) -> Matrix(1,4,-2,-7) Matrix(2431,1018,-6536,-2737) -> Matrix(1,2,2,5) Matrix(913,382,-4902,-2051) -> Matrix(1,2,-2,-3) Matrix(685,286,-2546,-1063) -> Matrix(1,2,-2,-3) Matrix(761,316,-2926,-1215) -> Matrix(1,0,2,1) Matrix(12313,5104,15770,6537) -> Matrix(1,-2,0,1) Matrix(14743,6110,18886,7827) -> Matrix(1,2,0,1) Matrix(1825,756,2204,913) -> Matrix(1,-2,0,1) Matrix(683,282,1102,455) -> Matrix(1,-2,0,1) Matrix(3799,1560,-12958,-5321) -> Matrix(1,0,-2,1) Matrix(3723,1528,5738,2355) -> Matrix(1,0,-2,1) Matrix(835,342,1482,607) -> Matrix(1,-2,0,1) Matrix(153,62,190,77) -> Matrix(1,-2,0,1) Matrix(151,60,380,151) -> Matrix(1,-2,0,1) Matrix(989,390,2508,989) -> Matrix(1,26,0,1) Matrix(2279,894,4066,1595) -> Matrix(1,4,0,1) Matrix(2357,924,3686,1445) -> Matrix(1,4,0,1) Matrix(1141,446,1558,609) -> Matrix(1,4,0,1) Matrix(913,356,-3116,-1215) -> Matrix(1,2,-2,-3) Matrix(609,236,2356,913) -> Matrix(1,2,-2,-3) Matrix(6003,2326,-15694,-6081) -> Matrix(3,4,2,3) Matrix(3801,1472,5890,2281) -> Matrix(1,0,0,1) Matrix(2813,1088,4522,1749) -> Matrix(1,2,-2,-3) Matrix(6917,2674,12388,4789) -> Matrix(3,2,-2,-1) Matrix(1899,734,10222,3951) -> Matrix(1,0,4,1) Matrix(683,262,988,379) -> Matrix(1,0,0,1) Matrix(1139,436,5358,2051) -> Matrix(1,0,2,1) Matrix(8133,3112,11324,4333) -> Matrix(3,-2,-4,3) Matrix(10717,4100,25232,9653) -> Matrix(19,-22,-6,7) Matrix(2583,986,3382,1291) -> Matrix(1,-12,0,1) Matrix(1825,696,2394,913) -> Matrix(1,10,0,1) Matrix(305,116,-1596,-607) -> Matrix(1,2,0,1) Matrix(5623,2136,7600,2887) -> Matrix(1,0,0,1) Matrix(2281,866,10412,3953) -> Matrix(1,2,0,1) Matrix(3725,1414,12616,4789) -> Matrix(1,2,2,5) Matrix(153,58,1406,533) -> Matrix(1,2,0,1) Matrix(227,86,2204,835) -> Matrix(1,2,-2,-3) Matrix(1445,546,2014,761) -> Matrix(1,0,0,1) Matrix(913,340,3268,1217) -> Matrix(1,0,0,1) Matrix(80103,29776,126350,46967) -> Matrix(31,-30,30,-29) Matrix(81017,30114,127794,47501) -> Matrix(31,-32,32,-33) Matrix(5549,2062,12274,4561) -> Matrix(7,-10,-2,3) Matrix(1671,620,-5738,-2129) -> Matrix(1,-2,-4,9) Matrix(10337,3834,12502,4637) -> Matrix(1,-4,0,1) Matrix(17329,6426,27056,10033) -> Matrix(1,-2,2,-3) Matrix(379,140,1026,379) -> Matrix(1,-4,0,1) Matrix(153,56,418,153) -> Matrix(1,4,0,1) Matrix(227,82,418,151) -> Matrix(1,2,-2,-3) Matrix(913,328,-3382,-1215) -> Matrix(3,2,-2,-1) Matrix(229,82,1064,381) -> Matrix(1,0,2,1) Matrix(457,162,646,229) -> Matrix(1,2,0,1) Matrix(1065,374,-5624,-1975) -> Matrix(5,6,-6,-7) Matrix(987,346,-5206,-1825) -> Matrix(7,6,-6,-5) Matrix(533,186,874,305) -> Matrix(1,0,2,1) Matrix(227,72,-722,-229) -> Matrix(1,0,2,1) Matrix(381,118,494,153) -> Matrix(1,0,0,1) Matrix(2659,812,-12198,-3725) -> Matrix(3,2,-2,-1) Matrix(4103,1252,4978,1519) -> Matrix(3,2,-2,-1) Matrix(837,254,-3002,-911) -> Matrix(1,0,2,1) Matrix(4029,1220,5776,1749) -> Matrix(1,0,8,1) Matrix(4027,1218,5776,1747) -> Matrix(1,0,-6,1) Matrix(683,204,760,227) -> Matrix(1,0,0,1) Matrix(3799,1132,6118,1823) -> Matrix(5,4,-4,-3) Matrix(3117,926,4864,1445) -> Matrix(3,2,4,3) Matrix(2507,744,3838,1139) -> Matrix(3,2,-2,-1) Matrix(6689,1978,17480,5169) -> Matrix(5,2,-8,-3) Matrix(4789,1414,12616,3725) -> Matrix(5,2,2,1) Matrix(7297,2154,9272,2737) -> Matrix(9,4,2,1) Matrix(685,202,1292,381) -> Matrix(1,0,2,1) Matrix(1063,312,-5700,-1673) -> Matrix(1,0,0,1) Matrix(9425,2764,14516,4257) -> Matrix(1,0,2,1) Matrix(2659,774,9918,2887) -> Matrix(1,0,6,1) Matrix(227,66,-2356,-685) -> Matrix(1,0,6,1) Matrix(4941,1436,11248,3269) -> Matrix(1,0,6,1) Matrix(683,198,2356,683) -> Matrix(1,0,18,1) Matrix(153,44,532,153) -> Matrix(1,0,-2,1) Matrix(227,64,266,75) -> Matrix(1,-2,0,1) Matrix(379,106,-1634,-457) -> Matrix(1,0,2,1) Matrix(1063,296,1634,455) -> Matrix(1,0,0,1) Matrix(4181,1156,5776,1597) -> Matrix(1,0,8,1) Matrix(4179,1154,5776,1595) -> Matrix(1,0,-8,1) Matrix(2279,628,3306,911) -> Matrix(1,0,-2,1) Matrix(1293,356,3040,837) -> Matrix(5,-2,-2,1) Matrix(533,146,836,229) -> Matrix(1,0,0,1) Matrix(989,268,1406,381) -> Matrix(1,2,0,1) Matrix(16873,4552,23104,6233) -> Matrix(17,18,16,17) Matrix(16871,4550,23104,6231) -> Matrix(17,16,18,17) Matrix(685,184,3116,837) -> Matrix(1,0,2,1) Matrix(2737,734,7372,1977) -> Matrix(3,2,-2,-1) Matrix(5321,1426,12198,3269) -> Matrix(1,2,-2,-3) Matrix(2659,712,3686,987) -> Matrix(3,2,-2,-1) Matrix(151,40,570,151) -> Matrix(1,0,4,1) Matrix(229,60,874,229) -> Matrix(1,0,-6,1) Matrix(77,20,-874,-227) -> Matrix(1,0,-2,1) Matrix(533,138,1178,305) -> Matrix(5,-2,-2,1) Matrix(379,90,1596,379) -> Matrix(1,0,10,1) Matrix(305,72,1292,305) -> Matrix(1,0,-8,1) Matrix(759,178,1292,303) -> Matrix(1,0,-2,1) Matrix(609,142,1634,381) -> Matrix(1,0,-2,1) Matrix(531,122,988,227) -> Matrix(1,-2,0,1) Matrix(2507,574,8626,1975) -> Matrix(1,0,6,1) Matrix(6309,1444,10298,2357) -> Matrix(1,0,-2,1) Matrix(1823,416,2660,607) -> Matrix(1,-2,0,1) Matrix(837,184,3116,685) -> Matrix(1,0,2,1) Matrix(2051,450,9348,2051) -> Matrix(1,0,2,1) Matrix(3649,800,16644,3649) -> Matrix(1,0,0,1) Matrix(3953,866,10412,2281) -> Matrix(1,2,0,1) Matrix(1291,282,6954,1519) -> Matrix(1,0,4,1) Matrix(229,50,-2432,-531) -> Matrix(1,0,0,1) Matrix(13225,2884,16036,3497) -> Matrix(1,-4,0,1) Matrix(987,214,1748,379) -> Matrix(1,0,0,1) Matrix(381,82,1064,229) -> Matrix(1,0,2,1) Matrix(151,32,-722,-153) -> Matrix(1,0,4,1) Matrix(4559,948,6574,1367) -> Matrix(1,0,-2,1) Matrix(989,204,2584,533) -> Matrix(1,0,-2,1) Matrix(1823,346,6802,1291) -> Matrix(1,2,0,1) Matrix(3951,734,10222,1899) -> Matrix(1,0,4,1) Matrix(1519,282,6954,1291) -> Matrix(1,0,4,1) Matrix(379,70,2052,379) -> Matrix(1,0,10,1) Matrix(153,28,836,153) -> Matrix(1,0,-4,1) Matrix(379,68,418,75) -> Matrix(1,-2,0,1) Matrix(2507,446,5548,987) -> Matrix(1,-4,0,1) Matrix(683,120,1292,227) -> Matrix(1,0,0,1) Matrix(457,80,874,153) -> Matrix(1,0,-2,1) Matrix(683,118,874,151) -> Matrix(1,0,0,1) Matrix(1367,218,1900,303) -> Matrix(1,0,2,1) Matrix(77,12,494,77) -> Matrix(1,0,-2,1) Matrix(303,46,494,75) -> Matrix(1,0,0,1) Matrix(759,104,1102,151) -> Matrix(1,0,0,1) Matrix(987,134,1672,227) -> Matrix(1,2,0,1) Matrix(151,20,1140,151) -> Matrix(1,0,4,1) Matrix(229,30,1748,229) -> Matrix(1,0,-6,1) Matrix(379,44,646,75) -> Matrix(1,0,0,1) Matrix(987,106,1406,151) -> Matrix(1,0,2,1) Matrix(533,54,760,77) -> Matrix(1,0,0,1) Matrix(1217,98,1900,153) -> Matrix(1,0,2,1) Matrix(1065,-92,1748,-151) -> Matrix(1,0,2,1) Matrix(685,-66,2356,-227) -> Matrix(1,0,6,1) Matrix(1823,-236,2356,-305) -> Matrix(1,0,2,1) Matrix(683,-110,950,-153) -> Matrix(1,0,-2,1) Matrix(1215,-212,1748,-305) -> Matrix(1,0,0,1) Matrix(835,-148,1292,-229) -> Matrix(1,0,0,1) Matrix(609,-110,836,-151) -> Matrix(1,0,2,1) Matrix(1901,-354,4484,-835) -> Matrix(9,-4,-2,1) Matrix(531,-100,1216,-229) -> Matrix(1,0,-2,1) Matrix(685,-132,1178,-227) -> Matrix(1,0,2,1) Matrix(153,-32,722,-151) -> Matrix(1,0,4,1) Matrix(2357,-502,2850,-607) -> Matrix(5,-2,-2,1) Matrix(3571,-778,5586,-1217) -> Matrix(1,0,0,1) Matrix(3647,-796,12540,-2737) -> Matrix(1,0,6,1) Matrix(151,-34,342,-77) -> Matrix(1,0,0,1) Matrix(457,-106,1634,-379) -> Matrix(1,0,2,1) Matrix(531,-128,950,-229) -> Matrix(1,0,-2,1) Matrix(1597,-416,2622,-683) -> Matrix(1,0,4,1) Matrix(1749,-470,1976,-531) -> Matrix(1,-2,0,1) Matrix(1215,-328,3382,-913) -> Matrix(1,-2,2,-3) Matrix(989,-274,1368,-379) -> Matrix(1,0,-2,1) Matrix(911,-254,3002,-837) -> Matrix(1,0,2,1) Matrix(2129,-620,5738,-1671) -> Matrix(9,-2,-4,1) Matrix(1977,-578,3116,-911) -> Matrix(1,0,-2,1) Matrix(1215,-356,3116,-913) -> Matrix(3,-2,2,-1) Matrix(1217,-360,2052,-607) -> Matrix(5,-2,-2,1) Matrix(2279,-676,3078,-913) -> Matrix(1,0,-2,1) Matrix(1747,-520,2812,-837) -> Matrix(1,0,-2,1) Matrix(531,-160,760,-229) -> Matrix(1,0,0,1) Matrix(229,-70,494,-151) -> Matrix(1,0,-2,1) Matrix(683,-214,1216,-381) -> Matrix(1,0,0,1) Matrix(533,-170,950,-303) -> Matrix(1,0,-2,1) Matrix(761,-268,1292,-455) -> Matrix(1,-2,2,-3) Matrix(4635,-1666,6346,-2281) -> Matrix(7,-6,6,-5) Matrix(3269,-1212,4712,-1747) -> Matrix(1,2,0,1) Matrix(1823,-678,4294,-1597) -> Matrix(7,4,-2,-1) Matrix(609,-230,1406,-531) -> Matrix(1,-2,0,1) Matrix(1975,-748,2812,-1065) -> Matrix(1,-2,2,-3) Matrix(1443,-548,2204,-837) -> Matrix(1,-2,0,1) Matrix(1747,-664,3002,-1141) -> Matrix(1,-2,2,-3) Matrix(607,-232,798,-305) -> Matrix(1,2,0,1) Matrix(3953,-1512,8740,-3343) -> Matrix(5,8,-2,-3) Matrix(835,-322,988,-381) -> Matrix(1,-4,0,1) Matrix(531,-206,1178,-457) -> Matrix(1,-4,0,1) Matrix(1901,-740,2926,-1139) -> Matrix(1,-2,0,1) Matrix(9197,-3584,11894,-4635) -> Matrix(1,-2,0,1) Matrix(3343,-1316,4636,-1825) -> Matrix(1,-10,0,1) Matrix(837,-344,1292,-531) -> Matrix(1,0,0,1) Matrix(5015,-2078,6422,-2661) -> Matrix(1,0,0,1) Matrix(1899,-788,3116,-1293) -> Matrix(1,0,2,1) Matrix(305,-128,722,-303) -> Matrix(1,-6,0,1) Matrix(1747,-740,1976,-837) -> Matrix(3,14,-2,-9) Matrix(7903,-3350,10222,-4333) -> Matrix(1,4,0,1) Matrix(14743,-6264,23256,-9881) -> Matrix(7,20,8,23) Matrix(761,-330,874,-379) -> Matrix(1,0,0,1) Matrix(5243,-2286,8892,-3877) -> Matrix(3,4,2,3) Matrix(835,-366,1216,-533) -> Matrix(1,0,0,1) Matrix(1139,-512,1862,-837) -> Matrix(1,4,0,1) Matrix(531,-242,836,-381) -> Matrix(1,2,0,1) Matrix(2735,-1256,4636,-2129) -> Matrix(5,6,4,5) Matrix(533,-250,646,-303) -> Matrix(1,-2,0,1) Matrix(2357,-1260,3268,-1747) -> Matrix(1,-2,0,1) Matrix(303,-166,418,-229) -> Matrix(1,0,2,1) Matrix(7751,-4330,12654,-7069) -> Matrix(3,2,-2,-1) Matrix(1673,-936,1900,-1063) -> Matrix(1,-2,0,1) Matrix(4637,-2600,7182,-4027) -> Matrix(1,0,0,1) Matrix(229,-130,266,-151) -> Matrix(3,2,-2,-1) Matrix(6383,-3710,10070,-5853) -> Matrix(5,-2,8,-3) Matrix(1215,-712,1558,-913) -> Matrix(1,0,0,1) Matrix(10641,-6272,18050,-10639) -> Matrix(13,-12,12,-11) Matrix(1747,-1038,2432,-1445) -> Matrix(1,2,-2,-3) Matrix(609,-370,874,-531) -> Matrix(1,0,-2,1) Matrix(2889,-1768,3724,-2279) -> Matrix(1,2,0,1) Matrix(379,-234,494,-305) -> Matrix(1,-2,0,1) Matrix(3117,-1940,4028,-2507) -> Matrix(1,0,2,1) Matrix(457,-288,722,-455) -> Matrix(1,0,2,1) Matrix(6081,-3886,7372,-4711) -> Matrix(1,-4,0,1) Matrix(2887,-2004,3724,-2585) -> Matrix(1,2,0,1) Matrix(1671,-1204,1900,-1369) -> Matrix(1,-2,0,1) Matrix(533,-392,722,-531) -> Matrix(1,-4,0,1) Matrix(4711,-3644,5700,-4409) -> Matrix(1,-2,0,1) Matrix(609,-512,722,-607) -> Matrix(1,-2,0,1) 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): 77 Degree of the the map X: 77 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. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow halted computation of the slope function at slope -3297167/2090335 during the modular group computation. This caused the modular group computation to abort.