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): 2880 Minimal number of generators: 481 Number of equivalence classes of cusps: 120 Genus: 181 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -9/20 -8/19 -2/5 -7/18 -6/17 -5/16 -4/15 -1/4 -3/14 -2/13 0/1 3/19 5/28 1/5 2/9 7/26 5/17 3/8 10/23 1/2 4/7 8/13 13/20 9/13 23/32 14/19 4/5 5/6 1/1 8/7 6/5 5/4 37/29 19/14 32/23 7/5 58/41 13/9 3/2 20/13 11/7 101/64 13/8 41/25 7/4 127/71 85/47 64/35 43/23 2/1 15/7 23/10 19/8 70/29 17/7 164/67 5/2 13/5 8/3 145/53 11/4 97/35 65/23 20/7 49/17 3/1 25/8 16/5 23/7 10/3 17/5 7/2 43/12 181/50 11/3 26/7 87/23 19/5 4/1 29/7 133/32 17/4 13/3 22/5 9/2 14/3 19/4 24/5 82/17 5/1 26/5 21/4 37/7 16/3 27/5 11/2 28/5 17/3 23/4 6/1 25/4 44/7 19/3 13/2 20/3 27/4 7/1 29/4 22/3 15/2 23/3 8/1 25/3 59/7 17/2 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 1/4 -9/19 1/3 1/2 -8/17 1/6 1/4 -7/15 1/4 5/19 -13/28 1/4 -19/41 2/7 -6/13 3/10 1/3 -17/37 7/22 1/3 -11/24 3/8 -5/11 1/4 1/2 -19/42 1/4 -33/73 0/1 1/6 -14/31 0/1 1/4 -23/51 2/9 1/4 -9/20 1/4 -13/29 1/4 3/11 -4/9 1/4 1/3 -19/43 3/10 5/16 -15/34 9/28 -11/25 1/3 5/14 -40/91 3/8 7/18 -29/66 3/8 -18/41 2/5 1/2 -7/16 1/4 -17/39 1/3 -10/23 0/1 1/2 -13/30 1/4 -16/37 1/4 1/2 -3/7 1/4 1/3 -17/40 3/8 -14/33 0/1 1/2 -11/26 1/4 -41/97 1/3 1/2 -30/71 2/9 1/4 -19/45 2/7 3/10 -8/19 1/3 -29/69 6/17 5/14 -50/119 17/48 5/14 -21/50 3/8 -34/81 4/11 11/30 -13/31 3/8 1/2 -18/43 3/8 2/5 -5/12 1/4 -27/65 4/11 3/8 -49/118 3/8 -22/53 1/3 1/2 -17/41 3/8 1/2 -29/70 1/4 -12/29 4/11 3/8 -19/46 3/8 -26/63 2/5 5/12 -7/17 3/7 1/2 -16/39 1/2 4/7 -9/22 1/0 -11/27 1/4 1/3 -2/5 1/4 1/2 -11/28 1/4 -9/23 1/3 1/2 -34/87 7/18 2/5 -25/64 3/8 -16/41 2/5 5/12 -7/18 1/2 -26/67 4/7 7/12 -45/116 5/8 -19/49 1/2 5/8 -12/31 1/2 2/3 -29/75 5/6 1/1 -17/44 3/4 -22/57 1/1 7/6 -5/13 1/1 1/0 -18/47 0/1 1/8 -13/34 1/4 -47/123 1/3 1/2 -34/89 1/3 -21/55 1/2 1/1 -8/21 1/2 2/3 -19/50 7/4 -11/29 -1/2 1/0 -14/37 -1/2 0/1 -17/45 -1/8 0/1 -3/8 1/4 -13/35 0/1 -10/27 2/9 1/4 -17/46 5/16 -24/65 4/11 3/8 -31/84 3/8 -7/19 1/4 1/2 -25/68 1/4 -18/49 1/3 5/14 -11/30 3/8 -26/71 5/12 1/2 -15/41 4/9 1/2 -4/11 1/2 1/1 -13/36 1/0 -9/25 1/1 1/0 -14/39 0/1 1/4 -5/14 1/0 -11/31 -1/1 -1/2 -17/48 -3/16 -6/17 0/1 -13/37 1/8 1/6 -7/20 1/4 -8/23 1/4 1/2 -1/3 0/1 1/2 -7/22 1/4 -6/19 0/1 1/6 -11/35 1/6 1/4 -5/16 1/4 -19/61 1/4 3/10 -14/45 3/10 1/3 -9/29 1/3 1/2 -4/13 1/4 1/2 -11/36 1/0 -18/59 0/1 1/8 -7/23 1/5 1/4 -10/33 2/5 1/2 -3/10 1/0 -11/37 0/1 1/18 -19/64 1/12 -8/27 0/1 1/10 -13/44 5/36 -18/61 2/13 1/6 -5/17 1/6 1/4 -22/75 0/1 1/6 -17/58 1/4 -12/41 0/1 1/4 -7/24 1/4 -9/31 0/1 -2/7 1/5 1/4 -11/39 1/4 6/23 -9/32 1/4 -16/57 1/4 2/7 -7/25 1/4 3/10 -12/43 3/10 1/3 -5/18 1/4 -13/47 1/3 1/2 -21/76 1/2 -29/105 1/2 3/5 -8/29 1/2 1/0 -11/40 -1/4 -14/51 0/1 1/12 -3/11 1/5 1/4 -13/48 9/28 -10/37 3/8 1/2 -17/63 1/2 3/5 -7/26 1/4 -11/41 1/4 1/2 -4/15 0/1 -13/49 1/8 1/6 -22/83 3/16 1/5 -9/34 1/4 -14/53 1/6 1/4 -19/72 1/8 -5/19 1/6 1/5 -6/23 1/4 4/15 -1/4 1/4 -5/21 1/4 5/19 -4/17 2/7 3/10 -7/30 5/16 -3/13 1/3 1/2 -14/61 0/1 1/6 -11/48 1/4 -8/35 1/4 1/2 -5/22 1/4 -12/53 1/4 8/31 -7/31 1/4 5/18 -16/71 2/7 -9/40 13/44 -20/89 3/10 17/56 -11/49 4/13 5/16 -2/9 1/3 1/2 -7/32 1/4 -12/55 0/1 1/2 -5/23 1/4 1/2 -13/60 1/0 -21/97 1/3 1/2 -8/37 0/1 1/4 -3/14 1/4 -10/47 1/4 2/7 -17/80 1/4 -7/33 2/7 3/10 -11/52 1/4 -15/71 3/10 1/3 -4/19 1/4 3/10 -5/24 5/16 -11/53 1/4 1/2 -6/29 2/7 3/10 -1/5 1/4 1/3 -5/26 3/8 -9/47 4/11 3/8 -4/21 3/8 2/5 -3/16 1/4 -5/27 1/3 -2/11 3/8 1/2 -5/28 3/8 -13/73 3/8 7/18 -8/45 2/5 5/12 -11/62 5/12 -3/17 3/7 1/2 -4/23 1/2 2/3 -9/52 1/0 -5/29 1/2 1/0 -1/6 1/4 -3/19 1/4 3/11 -2/13 1/3 -5/33 4/11 3/8 -8/53 5/14 3/8 -3/20 3/8 -7/47 2/5 1/2 -4/27 2/5 1/2 -5/34 3/8 -1/7 3/8 1/2 -2/15 6/13 1/2 -3/23 1/2 7/13 -1/8 1/0 -3/25 0/1 -2/17 1/4 1/2 -1/9 1/4 1/3 -1/10 3/8 -1/11 3/7 1/2 0/1 0/1 1/2 1/9 1/2 3/5 1/8 3/4 2/15 2/3 3/4 3/22 7/8 1/7 1/1 1/0 4/27 1/1 7/6 3/20 1/0 2/13 1/2 1/0 3/19 0/1 1/6 1/4 3/17 7/15 1/2 5/28 1/2 7/39 1/2 19/37 2/11 1/2 6/11 3/16 5/8 4/21 8/13 5/8 5/26 21/32 1/5 1/2 3/4 4/19 1/2 2/3 7/33 1/2 2/3 3/14 3/4 5/23 3/4 4/5 2/9 1/1 7/31 5/4 4/3 12/53 3/2 14/9 5/22 1/0 8/35 4/3 3/2 3/13 3/1 1/0 4/17 1/2 1/0 1/4 1/0 6/23 0/1 1/0 5/19 1/4 1/2 4/15 2/5 1/2 7/26 1/2 10/37 1/2 8/15 3/11 1/2 3/5 14/51 1/2 2/3 11/40 5/8 8/29 5/8 2/3 5/18 3/4 7/25 1/3 1/2 2/7 1/2 3/4 9/31 11/14 4/5 7/24 17/20 12/41 9/10 10/11 5/17 1/1 3/10 1/0 7/23 1/2 3/4 11/36 3/4 4/13 2/3 3/4 5/16 3/4 11/35 5/6 11/13 6/19 6/7 7/8 7/22 15/16 1/3 1/1 1/0 6/17 3/2 2/1 5/14 5/4 14/39 3/2 8/5 9/25 3/2 5/3 13/36 1/0 4/11 3/2 1/0 19/52 3/4 15/41 1/1 3/2 26/71 1/1 3/2 11/30 1/0 29/79 5/4 3/2 47/128 5/4 18/49 10/7 3/2 25/68 7/4 32/87 11/6 2/1 7/19 3/2 2/1 3/8 1/0 11/29 -1/2 0/1 19/50 1/0 27/71 -1/1 -1/2 8/21 0/1 1/0 13/34 1/4 31/81 1/2 3/5 49/128 1/0 18/47 1/2 2/3 5/13 1/2 1/0 7/18 1/0 16/41 1/4 1/2 9/23 3/7 1/2 11/28 3/4 13/33 5/6 1/1 2/5 1/2 1/1 11/27 5/4 4/3 20/49 17/12 3/2 9/22 13/8 7/17 5/2 1/0 19/46 1/0 31/75 4/1 9/2 12/29 8/1 1/0 29/70 1/0 17/41 -9/1 1/0 22/53 -7/2 1/0 5/12 1/0 8/19 1/2 1/0 19/45 0/1 1/2 49/116 1/2 30/71 1/2 1/1 11/26 1/0 3/7 1/2 1/1 10/23 1/1 17/39 1/1 11/10 7/16 5/4 18/41 1/1 3/2 29/66 11/8 11/25 3/2 1/0 4/9 3/2 2/1 9/20 7/4 14/31 5/2 1/0 5/11 5/1 1/0 11/24 -5/4 6/13 0/1 1/2 7/15 1/1 8/17 0/1 1/0 1/2 1/0 9/17 -1/2 0/1 8/15 -1/2 0/1 7/13 1/2 1/1 6/11 4/1 1/0 17/31 -9/2 1/0 11/20 -9/4 16/29 -3/2 -5/4 37/67 -4/3 -5/4 21/38 -9/8 5/9 -1/1 -1/2 24/43 -1/2 0/1 19/34 -1/4 33/59 0/1 1/2 14/25 -1/2 1/0 37/66 1/0 23/41 -1/2 0/1 32/57 -1/2 0/1 9/16 1/0 4/7 0/1 15/26 1/4 41/71 1/3 1/2 26/45 1/3 3/8 37/64 9/20 11/19 1/2 1/0 18/31 0/1 1/0 25/43 -1/2 0/1 32/55 1/4 1/2 7/12 1/0 24/41 2/5 1/2 65/111 0/1 41/70 1/4 17/29 3/7 1/2 27/46 7/12 10/17 1/2 3/4 23/39 7/8 1/1 13/22 9/8 3/5 -1/1 1/0 11/18 1/8 30/49 0/1 1/6 19/31 1/4 3/11 27/44 1/4 35/57 2/5 1/2 8/13 1/4 1/2 37/60 11/28 66/107 12/29 5/12 29/47 3/7 1/2 50/81 6/13 1/2 21/34 1/2 13/21 1/2 1/1 31/50 3/4 18/29 1/2 2/3 41/66 3/4 23/37 1/2 3/4 5/8 1/0 17/27 1/1 29/46 5/4 41/65 4/3 3/2 12/19 1/1 3/2 55/87 1/1 3/2 43/68 1/0 31/49 1/1 3/2 19/30 1/0 64/101 1/1 45/71 1/1 5/4 26/41 4/3 3/2 33/52 7/4 7/11 3/2 1/0 9/14 1/0 20/31 7/2 1/0 31/48 1/0 42/65 6/1 1/0 11/17 6/1 1/0 13/20 1/0 15/23 -8/1 1/0 2/3 -1/1 1/0 13/19 -1/2 -5/11 11/16 -1/4 20/29 -2/7 -1/4 9/13 0/1 25/36 1/4 16/23 1/2 1/0 7/10 1/0 26/37 -1/2 1/0 71/101 -1/2 0/1 45/64 -1/4 19/27 -1/1 -1/2 31/44 1/0 43/61 0/1 1/0 12/17 0/1 1/0 41/58 1/0 29/41 -1/1 1/0 46/65 -1/2 1/0 17/24 1/0 22/31 -1/2 0/1 27/38 1/0 5/7 -1/2 1/0 33/46 -3/4 28/39 -2/3 -1/2 51/71 -5/9 -1/2 23/32 -1/2 18/25 -1/2 -2/5 31/43 -3/8 -7/19 13/18 -5/16 47/65 -7/25 -5/18 34/47 -7/26 -1/4 55/76 -1/4 21/29 -1/4 -5/21 29/40 -1/4 37/51 -1/5 8/11 -1/6 0/1 27/37 -1/6 0/1 19/26 -1/8 11/15 -1/14 0/1 14/19 0/1 17/23 0/1 1/22 3/4 1/4 19/25 0/1 35/46 1/4 16/21 0/1 1/4 29/38 1/4 13/17 1/4 1/2 23/30 3/8 10/13 1/2 2/3 27/35 3/4 1/1 44/57 1/1 11/10 17/22 1/0 41/53 2/3 3/4 24/31 1/1 7/9 -1/1 1/0 11/14 1/4 26/33 1/3 1/2 15/19 1/2 3/5 19/24 1/0 4/5 1/2 1/0 25/31 -1/1 -1/2 21/26 -1/4 17/21 0/1 1/4 47/58 3/8 30/37 6/13 1/2 43/53 1/2 7/12 13/16 3/4 22/27 4/1 1/0 9/11 1/2 1/1 32/39 3/4 1/1 55/67 1/1 3/2 23/28 1/0 14/17 1/1 3/2 5/6 1/0 11/13 -1/2 1/0 28/33 -1/1 -3/4 17/20 -1/4 6/7 -1/2 0/1 19/22 1/0 13/15 -1/4 0/1 7/8 1/0 15/17 -1/1 -1/2 8/9 0/1 1/0 1/1 0/1 1/2 9/8 1/0 8/7 1/2 1/0 23/20 1/0 15/13 -2/1 1/0 7/6 1/0 13/11 -1/2 -1/4 6/5 0/1 23/19 1/14 1/12 17/14 3/28 45/37 7/57 1/8 28/23 1/8 3/22 67/55 3/22 1/7 106/87 9/64 1/7 39/32 3/20 50/41 0/1 1/8 11/9 1/6 1/5 16/13 0/1 1/4 37/30 1/4 21/17 0/1 1/4 47/38 -1/4 73/59 0/1 26/21 0/1 1/10 31/25 1/7 1/6 5/4 1/4 24/19 2/5 1/2 43/34 1/2 19/15 1/2 1/1 33/26 3/4 14/11 0/1 1/0 37/29 0/1 60/47 0/1 1/16 23/18 1/8 9/7 1/4 1/3 31/24 1/4 53/41 1/4 2/7 22/17 1/4 3/10 13/10 1/4 17/13 3/8 1/2 55/42 13/28 38/29 1/2 8/15 21/16 1/0 4/3 1/3 1/2 19/14 1/2 34/25 1/2 9/17 15/11 1/2 4/7 41/30 5/8 26/19 1/2 5/8 37/27 2/3 7/10 48/35 2/3 3/4 11/8 3/4 51/37 1/1 40/29 1/2 3/4 29/21 3/4 1/1 76/55 1/2 2/3 123/89 1/2 1/1 47/34 3/4 65/47 1/2 1/1 18/13 5/6 1/1 25/18 1/0 57/41 1/2 3/5 32/23 1/1 71/51 1/1 3/2 39/28 1/0 7/5 1/2 1/0 38/27 1/2 2/3 69/49 1/2 3/5 31/22 3/4 55/39 3/4 4/5 24/17 3/4 4/5 65/46 7/8 41/29 11/12 1/1 58/41 1/1 75/53 1/1 21/20 17/12 5/4 78/55 3/2 20/13 61/43 7/4 2/1 44/31 3/2 1/0 27/19 1/1 3/2 91/64 7/4 64/45 2/1 5/2 101/71 2/1 5/2 37/26 1/0 10/7 -2/1 1/0 13/9 0/1 29/20 1/4 16/11 1/4 1/2 35/24 3/4 19/13 1/2 1/1 60/41 1/2 1/1 41/28 1/0 22/15 0/1 1/0 3/2 1/0 20/13 0/1 37/24 1/24 17/11 0/1 1/12 65/42 1/8 48/31 0/1 1/10 31/20 1/8 45/29 1/8 3/23 14/9 0/1 1/6 67/43 0/1 53/34 1/4 39/25 0/1 1/6 64/41 1/6 1/4 25/16 1/4 11/7 1/6 1/4 41/26 1/4 71/45 17/69 1/4 101/64 1/4 30/19 1/4 8/31 49/31 7/26 3/11 68/43 11/40 5/18 19/12 7/24 8/5 2/5 1/2 37/23 1/2 5/8 66/41 3/4 4/5 95/59 1/1 29/18 3/4 50/31 1/2 1/0 71/44 1/0 92/57 0/1 1/4 21/13 1/3 1/2 55/34 3/4 89/55 1/2 3/4 34/21 1/1 47/29 1/2 1/1 13/8 1/0 57/35 0/1 1/6 44/27 1/1 1/0 31/19 -1/1 1/0 49/30 -1/4 67/41 -1/2 1/0 18/11 -1/4 0/1 41/25 0/1 64/39 0/1 1/28 23/14 1/12 5/3 1/4 1/3 32/19 1/4 1/2 27/16 1/4 22/13 7/22 1/3 83/49 1/3 61/36 23/68 39/23 1/3 7/20 56/33 6/17 5/14 17/10 3/8 29/17 1/3 5/14 99/58 3/8 70/41 5/14 3/8 111/65 4/11 41/24 3/8 53/31 3/8 13/34 12/7 2/5 1/2 55/32 5/12 98/57 2/5 1/2 43/25 2/5 1/2 74/43 5/12 1/2 31/18 5/12 50/29 2/5 1/2 19/11 5/12 1/2 7/4 1/2 23/13 1/2 7/12 85/48 7/12 62/35 1/2 3/5 101/57 1/2 2/3 39/22 7/12 94/53 11/18 5/8 55/31 1/2 1/1 71/40 7/12 16/9 5/8 2/3 57/32 5/8 98/55 5/8 9/14 41/23 17/26 2/3 66/37 2/3 11/16 25/14 3/4 59/33 1/2 2/3 93/52 13/20 127/71 2/3 34/19 2/3 7/10 77/43 7/10 3/4 43/24 3/4 52/29 3/4 11/14 9/5 1/2 1/1 47/26 11/12 85/47 1/1 38/21 1/1 7/6 67/37 2/1 1/0 29/16 1/0 49/27 1/2 1/1 20/11 1/2 1/1 31/17 1/2 1/0 42/23 1/2 2/3 53/29 3/4 1/1 64/35 1/1 11/6 1/0 24/13 0/1 1/0 13/7 1/2 1/1 28/15 -1/2 0/1 43/23 0/1 58/31 0/1 1/10 15/8 1/4 2/1 1/2 1/0 19/9 5/8 2/3 17/8 3/4 32/15 1/2 2/3 15/7 1/1 43/20 1/0 71/33 2/1 1/0 28/13 2/1 1/0 13/6 1/0 24/11 1/1 3/2 35/16 1/0 46/21 0/1 1/2 11/5 1/1 1/0 20/9 0/1 1/4 49/22 1/4 29/13 1/2 1/0 9/4 1/4 34/15 3/8 2/5 25/11 3/8 1/2 91/40 3/8 66/29 3/8 2/5 41/18 3/8 16/7 4/9 1/2 23/10 1/2 30/13 1/2 10/19 7/3 1/2 3/5 33/14 3/4 26/11 5/8 2/3 97/41 13/20 17/26 71/30 37/56 116/49 2/3 45/19 2/3 23/34 19/8 3/4 69/29 3/7 1/2 50/21 3/5 5/8 31/13 2/3 12/5 3/4 4/5 65/27 4/5 5/6 53/22 3/4 41/17 7/8 1/1 70/29 1/1 99/41 1/1 9/8 29/12 1/0 75/31 0/1 1/2 121/50 1/4 46/19 1/2 4/7 17/7 1/2 3/4 39/16 3/4 22/9 1/2 1/1 93/38 3/4 164/67 1/1 71/29 1/2 1/1 49/20 3/4 76/31 3/4 4/5 27/11 3/4 4/5 5/2 1/0 33/13 1/2 7/13 28/11 1/2 5/8 51/20 3/4 74/29 2/3 3/4 23/9 1/2 1/1 18/7 2/3 3/4 67/26 5/8 49/19 2/3 15/22 80/31 7/10 3/4 111/43 2/3 142/55 16/23 7/10 31/12 3/4 13/5 1/2 3/4 60/23 26/35 3/4 167/64 3/4 107/41 3/4 49/65 47/18 3/4 81/31 17/22 7/9 34/13 11/14 4/5 123/47 4/5 13/16 89/34 13/16 55/21 5/6 1/1 21/8 3/4 8/3 1/1 27/10 5/4 100/37 7/5 17/12 73/27 25/17 3/2 265/98 3/2 192/71 3/2 62/41 119/44 37/24 46/17 3/2 7/4 19/7 3/2 2/1 106/39 11/6 2/1 193/71 2/1 87/32 9/4 68/25 5/2 1/0 117/43 2/1 1/0 49/18 1/0 177/65 2/1 128/47 2/1 5/2 79/29 7/2 1/0 30/11 -2/1 1/0 71/26 1/8 112/41 3/8 1/2 41/15 1/2 1/1 93/34 7/8 145/53 1/1 197/72 17/16 52/19 1/1 5/4 63/23 1/1 3/2 11/4 1/0 47/17 -1/2 0/1 36/13 0/1 1/0 97/35 0/1 158/57 0/1 1/8 61/22 1/4 25/9 1/2 1/1 14/5 0/1 1/2 31/11 1/2 3/4 48/17 1/2 4/7 113/40 5/8 65/23 2/3 82/29 1/2 3/4 17/6 3/4 20/7 3/4 5/6 23/8 15/16 49/17 1/1 26/9 1/1 15/14 3/1 1/1 1/0 25/8 1/0 22/7 0/1 1/0 19/6 1/0 54/17 3/4 1/1 35/11 1/2 1/1 51/16 1/0 16/5 1/2 1/0 61/19 5/6 1/1 45/14 5/4 29/9 0/1 1/0 13/4 1/0 49/15 0/1 1/2 36/11 0/1 1/2 23/7 1/2 1/0 33/10 3/4 10/3 0/1 1/2 27/8 13/16 98/29 11/13 17/20 71/21 6/7 19/22 115/34 7/8 44/13 7/8 9/10 17/5 1/1 41/12 5/4 24/7 1/1 3/2 127/37 1/1 3/2 230/67 1/1 103/30 5/4 79/23 5/4 3/2 55/16 5/4 31/9 3/2 2/1 7/2 1/0 32/9 0/1 1/4 25/7 1/3 1/2 43/12 1/2 104/29 1/2 6/11 61/17 1/2 9/16 18/5 1/2 2/3 47/13 1/2 3/4 123/34 3/4 76/21 1/2 1/1 181/50 1/2 105/29 1/2 2/3 29/8 3/4 98/27 1/2 3/5 69/19 2/3 40/11 7/10 3/4 91/25 29/39 3/4 51/14 3/4 62/17 11/14 4/5 11/3 5/6 1/1 26/7 1/1 41/11 1/1 23/22 15/4 9/8 34/9 7/6 6/5 121/32 5/4 87/23 6/5 140/37 17/14 5/4 53/14 5/4 19/5 5/4 3/2 42/11 4/3 3/2 23/6 11/8 50/13 23/16 3/2 77/20 53/36 27/7 3/2 17/11 4/1 1/1 1/0 29/7 11/8 3/2 54/13 34/23 3/2 133/32 3/2 79/19 3/2 53/35 25/6 19/12 21/5 11/6 2/1 17/4 1/0 30/7 2/1 9/4 13/3 3/1 1/0 35/8 1/0 57/13 11/4 3/1 22/5 7/2 1/0 9/2 1/0 32/7 -5/2 1/0 87/19 -2/1 -3/2 55/12 1/0 78/17 -2/1 1/0 23/5 -2/1 1/0 60/13 -7/6 -1/1 217/47 -1/1 157/34 -11/12 97/21 -1/1 -1/2 37/8 1/0 14/3 0/1 1/0 47/10 1/0 33/7 -1/2 0/1 52/11 -1/2 -1/4 19/4 1/0 24/5 -1/4 0/1 53/11 -1/18 0/1 82/17 0/1 29/6 1/12 34/7 1/4 2/7 5/1 1/2 1/0 31/6 1/0 26/5 1/2 1/1 47/9 1/2 1/1 21/4 1/0 79/15 0/1 1/4 58/11 1/2 3/4 37/7 1/1 16/3 0/1 1/2 27/5 1/2 1/1 11/2 3/4 28/5 1/1 45/8 17/16 17/3 1/1 7/6 23/4 5/4 29/5 3/2 11/7 6/1 1/1 3/2 25/4 7/4 44/7 7/4 11/6 19/3 2/1 51/8 1/0 32/5 2/1 1/0 13/2 1/0 33/5 7/4 2/1 20/3 2/1 5/2 27/4 23/8 7/1 5/1 1/0 29/4 1/0 22/3 -12/1 1/0 15/2 1/0 23/3 -5/2 -2/1 8/1 -1/2 1/0 25/3 -1/4 0/1 42/5 -1/10 0/1 59/7 0/1 17/2 1/4 9/1 1/2 1/1 10/1 1/1 11/1 3/2 1/0 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(883,422,634,303) (-1/2,-9/19) -> (71/51,39/28) Hyperbolic Matrix(501,236,622,293) (-9/19,-8/17) -> (4/5,25/31) Hyperbolic Matrix(619,290,1492,699) (-8/17,-7/15) -> (17/41,22/53) Hyperbolic Matrix(1725,802,1112,517) (-7/15,-13/28) -> (31/20,45/29) Hyperbolic Matrix(1967,912,2586,1199) (-13/28,-19/41) -> (19/25,35/46) Hyperbolic Matrix(4915,2276,1354,627) (-19/41,-6/13) -> (98/27,69/19) Hyperbolic Matrix(243,112,614,283) (-6/13,-17/37) -> (13/33,2/5) Hyperbolic Matrix(2073,952,368,169) (-17/37,-11/24) -> (45/8,17/3) Hyperbolic Matrix(607,278,976,447) (-11/24,-5/11) -> (23/37,5/8) Hyperbolic Matrix(601,272,-3374,-1527) (-5/11,-19/42) -> (-5/28,-13/73) Hyperbolic Matrix(6267,2834,8914,4031) (-19/42,-33/73) -> (71/101,45/64) Hyperbolic Matrix(2891,1306,1202,543) (-33/73,-14/31) -> (12/5,65/27) Hyperbolic Matrix(483,218,-2528,-1141) (-14/31,-23/51) -> (-9/47,-4/21) Hyperbolic Matrix(2641,1190,2044,921) (-23/51,-9/20) -> (31/24,53/41) Hyperbolic Matrix(1079,484,836,375) (-9/20,-13/29) -> (9/7,31/24) Hyperbolic Matrix(1555,696,954,427) (-13/29,-4/9) -> (44/27,31/19) Hyperbolic Matrix(1303,576,1536,679) (-4/9,-19/43) -> (11/13,28/33) Hyperbolic Matrix(589,260,-2834,-1251) (-19/43,-15/34) -> (-5/24,-11/53) Hyperbolic Matrix(1769,780,474,209) (-15/34,-11/25) -> (41/11,15/4) Hyperbolic Matrix(2119,932,1180,519) (-11/25,-40/91) -> (52/29,9/5) Hyperbolic Matrix(5179,2276,826,363) (-40/91,-29/66) -> (25/4,44/7) Hyperbolic Matrix(469,206,-3176,-1395) (-29/66,-18/41) -> (-4/27,-5/34) Hyperbolic Matrix(589,258,468,205) (-18/41,-7/16) -> (5/4,24/19) Hyperbolic Matrix(1403,612,2226,971) (-7/16,-17/39) -> (17/27,29/46) Hyperbolic Matrix(583,254,1990,867) (-17/39,-10/23) -> (12/41,5/17) Hyperbolic Matrix(2213,960,1284,557) (-10/23,-13/30) -> (31/18,50/29) Hyperbolic Matrix(351,152,-2330,-1009) (-13/30,-16/37) -> (-8/53,-3/20) Hyperbolic Matrix(1395,602,1972,851) (-16/37,-3/7) -> (29/41,46/65) Hyperbolic Matrix(2525,1074,576,245) (-3/7,-17/40) -> (35/8,57/13) Hyperbolic Matrix(457,194,-2636,-1119) (-17/40,-14/33) -> (-4/23,-9/52) Hyperbolic Matrix(1491,632,2404,1019) (-14/33,-11/26) -> (31/50,18/29) Hyperbolic Matrix(3661,1548,4458,1885) (-11/26,-41/97) -> (55/67,23/28) Hyperbolic Matrix(8461,3576,13716,5797) (-41/97,-30/71) -> (66/107,29/47) Hyperbolic Matrix(2741,1158,6630,2801) (-30/71,-19/45) -> (31/75,12/29) Hyperbolic Matrix(911,384,-2166,-913) (-19/45,-8/19) -> (-8/19,-29/69) Parabolic Matrix(10243,4304,14572,6123) (-29/69,-50/119) -> (26/37,71/101) Hyperbolic Matrix(5237,2200,1364,573) (-50/119,-21/50) -> (23/6,50/13) Hyperbolic Matrix(1591,668,-6938,-2913) (-21/50,-34/81) -> (-14/61,-11/48) Hyperbolic Matrix(4665,1958,2728,1145) (-34/81,-13/31) -> (53/31,12/7) Hyperbolic Matrix(797,334,-2842,-1191) (-13/31,-18/43) -> (-16/57,-7/25) Hyperbolic Matrix(1587,664,1250,523) (-18/43,-5/12) -> (33/26,14/11) Hyperbolic Matrix(1809,752,3274,1361) (-5/12,-27/65) -> (37/67,21/38) Hyperbolic Matrix(11173,4640,5194,2157) (-27/65,-49/118) -> (43/20,71/33) Hyperbolic Matrix(9253,3842,6322,2625) (-49/118,-22/53) -> (60/41,41/28) Hyperbolic Matrix(1581,656,-5078,-2107) (-22/53,-17/41) -> (-19/61,-14/45) Hyperbolic Matrix(2481,1028,6760,2801) (-17/41,-29/70) -> (11/30,29/79) Hyperbolic Matrix(227,94,1688,699) (-29/70,-12/29) -> (2/15,3/22) Hyperbolic Matrix(1239,512,1798,743) (-12/29,-19/46) -> (11/16,20/29) Hyperbolic Matrix(4611,1904,2584,1067) (-19/46,-26/63) -> (66/37,25/14) Hyperbolic Matrix(1459,602,-6740,-2781) (-26/63,-7/17) -> (-21/97,-8/37) Hyperbolic Matrix(783,322,338,139) (-7/17,-16/39) -> (30/13,7/3) Hyperbolic Matrix(1117,458,1456,597) (-16/39,-9/22) -> (23/30,10/13) Hyperbolic Matrix(2005,818,1228,501) (-9/22,-11/27) -> (31/19,49/30) Hyperbolic Matrix(1225,498,888,361) (-11/27,-2/5) -> (40/29,29/21) Hyperbolic Matrix(763,300,1086,427) (-2/5,-11/28) -> (7/10,26/37) Hyperbolic Matrix(1305,512,2062,809) (-11/28,-9/23) -> (31/49,19/30) Hyperbolic Matrix(2383,932,652,255) (-9/23,-34/87) -> (62/17,11/3) Hyperbolic Matrix(4223,1650,11484,4487) (-34/87,-25/64) -> (25/68,32/87) Hyperbolic Matrix(3899,1522,1514,591) (-25/64,-16/41) -> (18/7,67/26) Hyperbolic Matrix(755,294,-1944,-757) (-16/41,-7/18) -> (-7/18,-26/67) Parabolic Matrix(8413,3264,6900,2677) (-26/67,-45/116) -> (39/32,50/41) Hyperbolic Matrix(11859,4600,3452,1339) (-45/116,-19/49) -> (79/23,55/16) Hyperbolic Matrix(2477,960,756,293) (-19/49,-12/31) -> (36/11,23/7) Hyperbolic Matrix(5061,1958,1936,749) (-12/31,-29/75) -> (81/31,34/13) Hyperbolic Matrix(1397,540,3552,1373) (-29/75,-17/44) -> (11/28,13/33) Hyperbolic Matrix(2905,1122,3762,1453) (-17/44,-22/57) -> (44/57,17/22) Hyperbolic Matrix(109,42,750,289) (-22/57,-5/13) -> (1/7,4/27) Hyperbolic Matrix(323,124,-1180,-453) (-5/13,-18/47) -> (-14/51,-3/11) Hyperbolic Matrix(1819,696,426,163) (-18/47,-13/34) -> (17/4,30/7) Hyperbolic Matrix(7159,2736,11322,4327) (-13/34,-47/123) -> (55/87,43/68) Hyperbolic Matrix(10255,3918,7368,2815) (-47/123,-34/89) -> (32/23,71/51) Hyperbolic Matrix(6833,2610,4914,1877) (-34/89,-21/55) -> (57/41,32/23) Hyperbolic Matrix(959,366,2670,1019) (-21/55,-8/21) -> (14/39,9/25) Hyperbolic Matrix(747,284,2554,971) (-8/21,-19/50) -> (7/24,12/41) Hyperbolic Matrix(1169,444,2130,809) (-19/50,-11/29) -> (17/31,11/20) Hyperbolic Matrix(533,202,-2446,-927) (-11/29,-14/37) -> (-12/55,-5/23) Hyperbolic Matrix(2121,802,320,121) (-14/37,-17/45) -> (33/5,20/3) Hyperbolic Matrix(1801,680,1168,441) (-17/45,-3/8) -> (37/24,17/11) Hyperbolic Matrix(947,352,1364,507) (-3/8,-13/35) -> (9/13,25/36) Hyperbolic Matrix(943,350,1366,507) (-13/35,-10/27) -> (20/29,9/13) Hyperbolic Matrix(1363,504,1674,619) (-10/27,-17/46) -> (13/16,22/27) Hyperbolic Matrix(731,270,2304,851) (-17/46,-24/65) -> (6/19,7/22) Hyperbolic Matrix(5543,2046,8580,3167) (-24/65,-31/84) -> (31/48,42/65) Hyperbolic Matrix(1047,386,1462,539) (-31/84,-7/19) -> (5/7,33/46) Hyperbolic Matrix(7097,2610,4386,1613) (-7/19,-25/68) -> (55/34,89/55) Hyperbolic Matrix(419,154,2816,1035) (-25/68,-18/49) -> (4/27,3/20) Hyperbolic Matrix(1357,498,624,229) (-18/49,-11/30) -> (13/6,24/11) Hyperbolic Matrix(1457,534,2502,917) (-11/30,-26/71) -> (32/55,7/12) Hyperbolic Matrix(2813,1030,4580,1677) (-26/71,-15/41) -> (35/57,8/13) Hyperbolic Matrix(1559,570,1146,419) (-15/41,-4/11) -> (34/25,15/11) Hyperbolic Matrix(725,262,1652,597) (-4/11,-13/36) -> (7/16,18/41) Hyperbolic Matrix(1343,484,308,111) (-13/36,-9/25) -> (13/3,35/8) Hyperbolic Matrix(723,260,-2372,-853) (-9/25,-14/39) -> (-18/59,-7/23) Hyperbolic Matrix(721,258,204,73) (-14/39,-5/14) -> (7/2,32/9) Hyperbolic Matrix(1227,436,1742,619) (-5/14,-11/31) -> (19/27,31/44) Hyperbolic Matrix(2659,942,3678,1303) (-11/31,-17/48) -> (13/18,47/65) Hyperbolic Matrix(921,326,-4088,-1447) (-17/48,-6/17) -> (-16/71,-9/40) Hyperbolic Matrix(711,250,-3154,-1109) (-6/17,-13/37) -> (-7/31,-16/71) Hyperbolic Matrix(3153,1106,1930,677) (-13/37,-7/20) -> (49/30,67/41) Hyperbolic Matrix(1113,388,1724,601) (-7/20,-8/23) -> (20/31,31/48) Hyperbolic Matrix(1211,418,704,243) (-8/23,-1/3) -> (43/25,74/43) Hyperbolic Matrix(1067,340,386,123) (-1/3,-7/22) -> (11/4,47/17) Hyperbolic Matrix(1645,522,1062,337) (-7/22,-6/19) -> (48/31,31/20) Hyperbolic Matrix(1831,576,480,151) (-6/19,-11/35) -> (19/5,42/11) Hyperbolic Matrix(479,150,-1536,-481) (-11/35,-5/16) -> (-5/16,-19/61) Parabolic Matrix(3447,1072,2492,775) (-14/45,-9/29) -> (65/47,18/13) Hyperbolic Matrix(1627,504,1146,355) (-9/29,-4/13) -> (44/31,27/19) Hyperbolic Matrix(667,204,1710,523) (-4/13,-11/36) -> (7/18,16/41) Hyperbolic Matrix(3517,1074,2754,841) (-11/36,-18/59) -> (60/47,23/18) Hyperbolic Matrix(283,86,1234,375) (-7/23,-10/33) -> (8/35,3/13) Hyperbolic Matrix(1513,458,664,201) (-10/33,-3/10) -> (41/18,16/7) Hyperbolic Matrix(281,84,378,113) (-3/10,-11/37) -> (17/23,3/4) Hyperbolic Matrix(4129,1226,2536,753) (-11/37,-19/64) -> (13/8,57/35) Hyperbolic Matrix(2253,668,1312,389) (-19/64,-8/27) -> (12/7,55/32) Hyperbolic Matrix(561,166,1220,361) (-8/27,-13/44) -> (11/24,6/13) Hyperbolic Matrix(2527,746,376,111) (-13/44,-18/61) -> (20/3,27/4) Hyperbolic Matrix(4027,1188,1122,331) (-18/61,-5/17) -> (61/17,18/5) Hyperbolic Matrix(6353,1864,3548,1041) (-5/17,-22/75) -> (34/19,77/43) Hyperbolic Matrix(7659,2246,4948,1451) (-22/75,-17/58) -> (65/42,48/31) Hyperbolic Matrix(2055,602,652,191) (-17/58,-12/41) -> (22/7,19/6) Hyperbolic Matrix(1027,300,558,163) (-12/41,-7/24) -> (11/6,24/13) Hyperbolic Matrix(1211,352,836,243) (-7/24,-9/31) -> (13/9,29/20) Hyperbolic Matrix(1767,512,742,215) (-9/31,-2/7) -> (50/21,31/13) Hyperbolic Matrix(183,52,278,79) (-2/7,-11/39) -> (15/23,2/3) Hyperbolic Matrix(1377,388,1196,337) (-11/39,-9/32) -> (23/20,15/13) Hyperbolic Matrix(3761,1056,2112,593) (-9/32,-16/57) -> (16/9,57/32) Hyperbolic Matrix(1833,512,1006,281) (-7/25,-12/43) -> (20/11,31/17) Hyperbolic Matrix(2195,612,642,179) (-12/43,-5/18) -> (41/12,24/7) Hyperbolic Matrix(1003,278,184,51) (-5/18,-13/47) -> (27/5,11/2) Hyperbolic Matrix(3465,958,2738,757) (-13/47,-21/76) -> (43/34,19/15) Hyperbolic Matrix(6291,1738,8756,2419) (-21/76,-29/105) -> (51/71,23/32) Hyperbolic Matrix(12949,3576,4740,1309) (-29/105,-8/29) -> (112/41,41/15) Hyperbolic Matrix(821,226,1820,501) (-8/29,-11/40) -> (9/20,14/31) Hyperbolic Matrix(3733,1026,2274,625) (-11/40,-14/51) -> (64/39,23/14) Hyperbolic Matrix(633,172,92,25) (-3/11,-13/48) -> (27/4,7/1) Hyperbolic Matrix(1811,490,632,171) (-13/48,-10/37) -> (20/7,23/8) Hyperbolic Matrix(2985,806,1174,317) (-10/37,-17/63) -> (33/13,28/11) Hyperbolic Matrix(1625,438,4248,1145) (-17/63,-7/26) -> (13/34,31/81) Hyperbolic Matrix(633,170,2074,557) (-7/26,-11/41) -> (7/23,11/36) Hyperbolic Matrix(359,96,-1350,-361) (-11/41,-4/15) -> (-4/15,-13/49) Parabolic Matrix(2603,690,630,167) (-13/49,-22/83) -> (4/1,29/7) Hyperbolic Matrix(3413,904,1076,285) (-22/83,-9/34) -> (19/6,54/17) Hyperbolic Matrix(3501,926,2242,593) (-9/34,-14/53) -> (64/41,25/16) Hyperbolic Matrix(9507,2510,3496,923) (-14/53,-19/72) -> (87/32,68/25) Hyperbolic Matrix(5557,1466,3946,1041) (-19/72,-5/19) -> (69/49,31/22) Hyperbolic Matrix(1697,444,1074,281) (-5/19,-6/23) -> (30/19,49/31) Hyperbolic Matrix(891,232,626,163) (-6/23,-1/4) -> (37/26,10/7) Hyperbolic Matrix(693,166,956,229) (-1/4,-5/21) -> (21/29,29/40) Hyperbolic Matrix(953,226,1556,369) (-5/21,-4/17) -> (30/49,19/31) Hyperbolic Matrix(861,202,260,61) (-4/17,-7/30) -> (33/10,10/3) Hyperbolic Matrix(601,140,1378,321) (-7/30,-3/13) -> (17/39,7/16) Hyperbolic Matrix(2229,512,1798,413) (-3/13,-14/61) -> (26/21,31/25) Hyperbolic Matrix(1967,450,3510,803) (-11/48,-8/35) -> (14/25,37/66) Hyperbolic Matrix(1367,312,942,215) (-8/35,-5/22) -> (29/20,16/11) Hyperbolic Matrix(1279,290,172,39) (-5/22,-12/53) -> (22/3,15/2) Hyperbolic Matrix(5117,1158,1878,425) (-12/53,-7/31) -> (79/29,30/11) Hyperbolic Matrix(8853,1990,2300,517) (-9/40,-20/89) -> (50/13,77/20) Hyperbolic Matrix(9873,2218,1874,421) (-20/89,-11/49) -> (79/15,58/11) Hyperbolic Matrix(2465,552,1362,305) (-11/49,-2/9) -> (38/21,67/37) Hyperbolic Matrix(931,204,1182,259) (-2/9,-7/32) -> (11/14,26/33) Hyperbolic Matrix(1519,332,2704,591) (-7/32,-12/55) -> (32/57,9/16) Hyperbolic Matrix(1179,256,1856,403) (-5/23,-13/60) -> (33/52,7/11) Hyperbolic Matrix(3537,766,4382,949) (-13/60,-21/97) -> (25/31,21/26) Hyperbolic Matrix(251,54,-1176,-253) (-8/37,-3/14) -> (-3/14,-10/47) Parabolic Matrix(3687,784,2516,535) (-10/47,-17/80) -> (41/28,22/15) Hyperbolic Matrix(9301,1976,6538,1389) (-17/80,-7/33) -> (101/71,37/26) Hyperbolic Matrix(4857,1028,2008,425) (-7/33,-11/52) -> (29/12,75/31) Hyperbolic Matrix(3935,832,752,159) (-11/52,-15/71) -> (47/9,21/4) Hyperbolic Matrix(3261,688,2678,565) (-15/71,-4/19) -> (28/23,67/55) Hyperbolic Matrix(1751,366,1086,227) (-4/19,-5/24) -> (29/18,50/31) Hyperbolic Matrix(9075,1882,3332,691) (-11/53,-6/29) -> (128/47,79/29) Hyperbolic Matrix(1411,290,832,171) (-6/29,-1/5) -> (39/23,56/33) Hyperbolic Matrix(1391,270,984,191) (-1/5,-5/26) -> (65/46,41/29) Hyperbolic Matrix(3105,596,1714,329) (-5/26,-9/47) -> (67/37,29/16) Hyperbolic Matrix(733,138,324,61) (-4/21,-3/16) -> (9/4,34/15) Hyperbolic Matrix(1379,256,404,75) (-3/16,-5/27) -> (17/5,41/12) Hyperbolic Matrix(1375,254,406,75) (-5/27,-2/11) -> (44/13,17/5) Hyperbolic Matrix(321,58,404,73) (-2/11,-5/28) -> (19/24,4/5) Hyperbolic Matrix(6263,1114,2648,471) (-13/73,-8/45) -> (26/11,97/41) Hyperbolic Matrix(2567,456,3372,599) (-8/45,-11/62) -> (35/46,16/21) Hyperbolic Matrix(8425,1494,6096,1081) (-11/62,-3/17) -> (123/89,47/34) Hyperbolic Matrix(239,42,882,155) (-3/17,-4/23) -> (10/37,3/11) Hyperbolic Matrix(2871,496,7820,1351) (-9/52,-5/29) -> (29/79,47/128) Hyperbolic Matrix(1595,274,716,123) (-5/29,-1/6) -> (49/22,29/13) Hyperbolic Matrix(627,100,1022,163) (-1/6,-3/19) -> (19/31,27/44) Hyperbolic Matrix(547,86,706,111) (-3/19,-2/13) -> (24/31,7/9) Hyperbolic Matrix(1325,202,1712,261) (-2/13,-5/33) -> (41/53,24/31) Hyperbolic Matrix(2489,376,4508,681) (-5/33,-8/53) -> (16/29,37/67) Hyperbolic Matrix(6825,1018,2018,301) (-3/20,-7/47) -> (71/21,115/34) Hyperbolic Matrix(5735,852,4032,599) (-7/47,-4/27) -> (64/45,101/71) Hyperbolic Matrix(387,56,76,11) (-5/34,-1/7) -> (5/1,31/6) Hyperbolic Matrix(611,82,380,51) (-1/7,-2/15) -> (8/5,37/23) Hyperbolic Matrix(151,20,838,111) (-2/15,-3/23) -> (7/39,2/11) Hyperbolic Matrix(379,48,150,19) (-3/23,-1/8) -> (5/2,33/13) Hyperbolic Matrix(1427,172,224,27) (-1/8,-3/25) -> (19/3,51/8) Hyperbolic Matrix(1423,170,226,27) (-3/25,-2/17) -> (44/7,19/3) Hyperbolic Matrix(373,42,222,25) (-2/17,-1/9) -> (5/3,32/19) Hyperbolic Matrix(887,94,368,39) (-1/9,-1/10) -> (53/22,41/17) Hyperbolic Matrix(365,36,294,29) (-1/10,-1/11) -> (31/25,5/4) Hyperbolic Matrix(359,28,500,39) (-1/11,0/1) -> (28/39,51/71) Hyperbolic Matrix(479,-50,776,-81) (0/1,1/9) -> (29/47,50/81) Hyperbolic Matrix(1241,-144,474,-55) (1/9,1/8) -> (89/34,55/21) Hyperbolic Matrix(817,-108,174,-23) (1/8,2/15) -> (14/3,47/10) Hyperbolic Matrix(2381,-326,986,-135) (3/22,1/7) -> (99/41,29/12) Hyperbolic Matrix(459,-70,400,-61) (3/20,2/13) -> (8/7,23/20) Hyperbolic Matrix(1657,-258,456,-71) (2/13,3/19) -> (69/19,40/11) Hyperbolic Matrix(171,-28,226,-37) (3/19,1/6) -> (3/4,19/25) Hyperbolic Matrix(561,-98,956,-167) (1/6,3/17) -> (17/29,27/46) Hyperbolic Matrix(281,-50,1568,-279) (3/17,5/28) -> (5/28,7/39) Parabolic Matrix(279,-52,778,-145) (2/11,3/16) -> (5/14,14/39) Hyperbolic Matrix(721,-136,334,-63) (3/16,4/21) -> (28/13,13/6) Hyperbolic Matrix(2493,-478,4042,-775) (4/21,5/26) -> (37/60,66/107) Hyperbolic Matrix(2877,-556,1216,-235) (5/26,1/5) -> (97/41,71/30) Hyperbolic Matrix(983,-206,272,-57) (1/5,4/19) -> (18/5,47/13) Hyperbolic Matrix(435,-92,818,-173) (4/19,7/33) -> (9/17,8/15) Hyperbolic Matrix(817,-174,108,-23) (7/33,3/14) -> (15/2,23/3) Hyperbolic Matrix(705,-152,218,-47) (3/14,5/23) -> (29/9,13/4) Hyperbolic Matrix(109,-24,486,-107) (5/23,2/9) -> (2/9,7/31) Parabolic Matrix(5651,-1278,3984,-901) (7/31,12/53) -> (78/55,61/43) Hyperbolic Matrix(7425,-1682,3068,-695) (12/53,5/22) -> (121/50,46/19) Hyperbolic Matrix(1827,-416,1076,-245) (5/22,8/35) -> (56/33,17/10) Hyperbolic Matrix(267,-62,590,-137) (3/13,4/17) -> (14/31,5/11) Hyperbolic Matrix(801,-190,586,-139) (4/17,1/4) -> (41/30,26/19) Hyperbolic Matrix(157,-40,106,-27) (1/4,6/23) -> (22/15,3/2) Hyperbolic Matrix(1883,-492,1152,-301) (6/23,5/19) -> (67/41,18/11) Hyperbolic Matrix(731,-194,260,-69) (5/19,4/15) -> (14/5,31/11) Hyperbolic Matrix(365,-98,1352,-363) (4/15,7/26) -> (7/26,10/37) Parabolic Matrix(3937,-1080,2796,-767) (3/11,14/51) -> (38/27,69/49) Hyperbolic Matrix(3625,-996,1656,-455) (14/51,11/40) -> (35/16,46/21) Hyperbolic Matrix(1657,-456,258,-71) (11/40,8/29) -> (32/5,13/2) Hyperbolic Matrix(983,-272,206,-57) (8/29,5/18) -> (19/4,24/5) Hyperbolic Matrix(1753,-490,1084,-303) (5/18,7/25) -> (21/13,55/34) Hyperbolic Matrix(463,-130,1186,-333) (7/25,2/7) -> (16/41,9/23) Hyperbolic Matrix(409,-118,52,-15) (2/7,9/31) -> (23/3,8/1) Hyperbolic Matrix(1279,-372,306,-89) (9/31,7/24) -> (25/6,21/5) Hyperbolic Matrix(255,-76,406,-121) (5/17,3/10) -> (5/8,17/27) Hyperbolic Matrix(659,-200,860,-261) (3/10,7/23) -> (13/17,23/30) Hyperbolic Matrix(1871,-572,1364,-417) (11/36,4/13) -> (48/35,11/8) Hyperbolic Matrix(705,-218,152,-47) (4/13,5/16) -> (37/8,14/3) Hyperbolic Matrix(2211,-694,5776,-1813) (5/16,11/35) -> (31/81,49/128) Hyperbolic Matrix(1959,-616,1606,-505) (11/35,6/19) -> (50/41,11/9) Hyperbolic Matrix(1701,-542,1202,-383) (7/22,1/3) -> (75/53,17/12) Hyperbolic Matrix(489,-172,634,-223) (1/3,6/17) -> (10/13,27/35) Hyperbolic Matrix(731,-260,194,-69) (6/17,5/14) -> (15/4,34/9) Hyperbolic Matrix(2425,-874,874,-315) (9/25,13/36) -> (61/22,25/9) Hyperbolic Matrix(3005,-1086,1746,-631) (13/36,4/11) -> (74/43,31/18) Hyperbolic Matrix(5317,-1942,2998,-1095) (4/11,19/52) -> (39/22,94/53) Hyperbolic Matrix(5945,-2174,2174,-795) (19/52,15/41) -> (41/15,93/34) Hyperbolic Matrix(4397,-1610,6956,-2547) (15/41,26/71) -> (12/19,55/87) Hyperbolic Matrix(11013,-4034,3044,-1115) (26/71,11/30) -> (123/34,76/21) Hyperbolic Matrix(19695,-7232,7628,-2801) (47/128,18/49) -> (142/55,31/12) Hyperbolic Matrix(4343,-1596,5358,-1969) (18/49,25/68) -> (47/58,30/37) Hyperbolic Matrix(3667,-1350,1350,-497) (32/87,7/19) -> (19/7,106/39) Hyperbolic Matrix(145,-54,384,-143) (7/19,3/8) -> (3/8,11/29) Parabolic Matrix(479,-182,908,-345) (11/29,19/50) -> (1/2,9/17) Hyperbolic Matrix(7029,-2672,2870,-1091) (19/50,27/71) -> (71/29,49/20) Hyperbolic Matrix(5737,-2182,2248,-855) (27/71,8/21) -> (74/29,23/9) Hyperbolic Matrix(1577,-602,668,-255) (8/21,13/34) -> (33/14,26/11) Hyperbolic Matrix(11455,-4386,4056,-1553) (49/128,18/47) -> (48/17,113/40) Hyperbolic Matrix(2003,-768,1098,-421) (18/47,5/13) -> (31/17,42/23) Hyperbolic Matrix(523,-202,334,-129) (5/13,7/18) -> (25/16,11/7) Hyperbolic Matrix(2369,-930,996,-391) (9/23,11/28) -> (19/8,69/29) Hyperbolic Matrix(1735,-706,376,-153) (2/5,11/27) -> (23/5,60/13) Hyperbolic Matrix(985,-402,468,-191) (11/27,20/49) -> (2/1,19/9) Hyperbolic Matrix(6843,-2794,2530,-1033) (20/49,9/22) -> (119/44,46/17) Hyperbolic Matrix(795,-326,656,-269) (9/22,7/17) -> (23/19,17/14) Hyperbolic Matrix(1775,-732,468,-193) (7/17,19/46) -> (53/14,19/5) Hyperbolic Matrix(8127,-3358,1774,-733) (19/46,31/75) -> (87/19,55/12) Hyperbolic Matrix(2381,-986,326,-135) (12/29,29/70) -> (29/4,22/3) Hyperbolic Matrix(1679,-696,234,-97) (29/70,17/41) -> (7/1,29/4) Hyperbolic Matrix(6623,-2750,1958,-813) (22/53,5/12) -> (115/34,44/13) Hyperbolic Matrix(325,-136,466,-195) (5/12,8/19) -> (16/23,7/10) Hyperbolic Matrix(3621,-1528,2320,-979) (8/19,19/45) -> (39/25,64/41) Hyperbolic Matrix(20325,-8584,5614,-2371) (19/45,49/116) -> (181/50,105/29) Hyperbolic Matrix(21667,-9154,5986,-2529) (49/116,30/71) -> (76/21,181/50) Hyperbolic Matrix(2877,-1216,556,-235) (30/71,11/26) -> (31/6,26/5) Hyperbolic Matrix(1577,-668,602,-255) (11/26,3/7) -> (55/21,21/8) Hyperbolic Matrix(461,-200,1058,-459) (3/7,10/23) -> (10/23,17/39) Parabolic Matrix(7657,-3364,2110,-927) (18/41,29/66) -> (29/8,98/27) Hyperbolic Matrix(3163,-1390,3898,-1713) (29/66,11/25) -> (43/53,13/16) Hyperbolic Matrix(1421,-626,824,-363) (11/25,4/9) -> (50/29,19/11) Hyperbolic Matrix(273,-122,320,-143) (4/9,9/20) -> (17/20,6/7) Hyperbolic Matrix(1267,-580,1042,-477) (5/11,11/24) -> (17/14,45/37) Hyperbolic Matrix(721,-334,136,-63) (6/13,7/15) -> (37/7,16/3) Hyperbolic Matrix(2605,-1222,1618,-759) (7/15,8/17) -> (66/41,95/59) Hyperbolic Matrix(985,-468,402,-191) (8/17,1/2) -> (49/20,76/31) Hyperbolic Matrix(559,-300,300,-161) (8/15,7/13) -> (13/7,28/15) Hyperbolic Matrix(385,-208,472,-255) (7/13,6/11) -> (22/27,9/11) Hyperbolic Matrix(2003,-1098,768,-421) (6/11,17/31) -> (13/5,60/23) Hyperbolic Matrix(1233,-680,2000,-1103) (11/20,16/29) -> (8/13,37/60) Hyperbolic Matrix(765,-424,424,-235) (21/38,5/9) -> (9/5,47/26) Hyperbolic Matrix(5973,-3332,4322,-2411) (5/9,24/43) -> (76/55,123/89) Hyperbolic Matrix(2371,-1324,3304,-1845) (24/43,19/34) -> (33/46,28/39) Hyperbolic Matrix(7493,-4190,4190,-2343) (19/34,33/59) -> (59/33,93/52) Hyperbolic Matrix(4063,-2274,888,-497) (33/59,14/25) -> (32/7,87/19) Hyperbolic Matrix(8119,-4552,2242,-1257) (37/66,23/41) -> (105/29,29/8) Hyperbolic Matrix(6469,-3630,3762,-2111) (23/41,32/57) -> (98/57,43/25) Hyperbolic Matrix(169,-96,294,-167) (9/16,4/7) -> (4/7,15/26) Parabolic Matrix(7783,-4494,4560,-2633) (15/26,41/71) -> (29/17,99/58) Hyperbolic Matrix(6527,-3770,2384,-1377) (41/71,26/45) -> (52/19,63/23) Hyperbolic Matrix(7487,-4328,2216,-1281) (26/45,37/64) -> (27/8,98/29) Hyperbolic Matrix(2133,-1234,1630,-943) (37/64,11/19) -> (17/13,55/42) Hyperbolic Matrix(1421,-824,626,-363) (11/19,18/31) -> (34/15,25/11) Hyperbolic Matrix(3005,-1746,1086,-631) (18/31,25/43) -> (47/17,36/13) Hyperbolic Matrix(6469,-3762,3630,-2111) (25/43,32/55) -> (98/55,41/23) Hyperbolic Matrix(1665,-974,2624,-1535) (7/12,24/41) -> (26/41,33/52) Hyperbolic Matrix(20313,-11894,7868,-4607) (24/41,65/111) -> (111/43,142/55) Hyperbolic Matrix(19521,-11432,5162,-3023) (65/111,41/70) -> (121/32,87/23) Hyperbolic Matrix(5909,-3462,3330,-1951) (41/70,17/29) -> (55/31,71/40) Hyperbolic Matrix(1331,-782,914,-537) (27/46,10/17) -> (16/11,35/24) Hyperbolic Matrix(1827,-1076,416,-245) (10/17,23/39) -> (57/13,22/5) Hyperbolic Matrix(3237,-1910,1910,-1127) (23/39,13/22) -> (61/36,39/23) Hyperbolic Matrix(747,-442,1036,-613) (13/22,3/5) -> (31/43,13/18) Hyperbolic Matrix(205,-124,124,-75) (3/5,11/18) -> (23/14,5/3) Hyperbolic Matrix(1883,-1152,492,-301) (11/18,30/49) -> (42/11,23/6) Hyperbolic Matrix(6667,-4092,3762,-2309) (27/44,35/57) -> (101/57,39/22) Hyperbolic Matrix(7019,-4334,1958,-1209) (50/81,21/34) -> (43/12,104/29) Hyperbolic Matrix(1753,-1084,490,-303) (21/34,13/21) -> (25/7,43/12) Hyperbolic Matrix(897,-556,1018,-631) (13/21,31/50) -> (7/8,15/17) Hyperbolic Matrix(2605,-1618,1222,-759) (18/29,41/66) -> (17/8,32/15) Hyperbolic Matrix(7653,-4756,2116,-1315) (41/66,23/37) -> (47/13,123/34) Hyperbolic Matrix(6435,-4058,2672,-1685) (29/46,41/65) -> (65/27,53/22) Hyperbolic Matrix(5949,-3754,3358,-2119) (41/65,12/19) -> (62/35,101/57) Hyperbolic Matrix(8409,-5318,1820,-1151) (43/68,31/49) -> (97/21,37/8) Hyperbolic Matrix(3031,-1920,1656,-1049) (19/30,64/101) -> (64/35,11/6) Hyperbolic Matrix(9897,-6272,5414,-3431) (64/101,45/71) -> (53/29,64/35) Hyperbolic Matrix(3717,-2356,1696,-1075) (45/71,26/41) -> (46/21,11/5) Hyperbolic Matrix(523,-334,202,-129) (7/11,9/14) -> (31/12,13/5) Hyperbolic Matrix(1285,-828,762,-491) (9/14,20/31) -> (32/19,27/16) Hyperbolic Matrix(5091,-3290,2366,-1529) (42/65,11/17) -> (71/33,28/13) Hyperbolic Matrix(521,-338,800,-519) (11/17,13/20) -> (13/20,15/23) Parabolic Matrix(157,-106,40,-27) (2/3,13/19) -> (27/7,4/1) Hyperbolic Matrix(901,-618,156,-107) (13/19,11/16) -> (23/4,29/5) Hyperbolic Matrix(2181,-1516,856,-595) (25/36,16/23) -> (28/11,51/20) Hyperbolic Matrix(4185,-2944,2944,-2071) (45/64,19/27) -> (27/19,91/64) Hyperbolic Matrix(10841,-7640,4142,-2919) (31/44,43/61) -> (123/47,89/34) Hyperbolic Matrix(5149,-3630,1122,-791) (43/61,12/17) -> (78/17,23/5) Hyperbolic Matrix(1701,-1202,542,-383) (12/17,41/58) -> (25/8,22/7) Hyperbolic Matrix(1199,-848,386,-273) (41/58,29/41) -> (3/1,25/8) Hyperbolic Matrix(8115,-5744,4754,-3365) (46/65,17/24) -> (99/58,70/41) Hyperbolic Matrix(733,-520,850,-603) (17/24,22/31) -> (6/7,19/22) Hyperbolic Matrix(3937,-2796,1080,-767) (22/31,27/38) -> (51/14,62/17) Hyperbolic Matrix(425,-302,38,-27) (27/38,5/7) -> (11/1,1/0) Hyperbolic Matrix(1843,-1326,1458,-1049) (23/32,18/25) -> (24/19,43/34) Hyperbolic Matrix(1727,-1244,1112,-801) (18/25,31/43) -> (45/29,14/9) Hyperbolic Matrix(8695,-6288,4902,-3545) (47/65,34/47) -> (94/53,55/31) Hyperbolic Matrix(5973,-4322,3332,-2411) (34/47,55/76) -> (43/24,52/29) Hyperbolic Matrix(9495,-6872,3638,-2633) (55/76,21/29) -> (107/41,47/18) Hyperbolic Matrix(2793,-2026,1300,-943) (29/40,37/51) -> (15/7,43/20) Hyperbolic Matrix(1797,-1304,842,-611) (37/51,8/11) -> (32/15,15/7) Hyperbolic Matrix(1871,-1364,572,-417) (8/11,27/37) -> (49/15,36/11) Hyperbolic Matrix(2975,-2172,1908,-1393) (27/37,19/26) -> (53/34,39/25) Hyperbolic Matrix(801,-586,190,-139) (19/26,11/15) -> (21/5,17/4) Hyperbolic Matrix(533,-392,722,-531) (11/15,14/19) -> (14/19,17/23) Parabolic Matrix(4119,-3142,898,-685) (16/21,29/38) -> (55/12,78/17) Hyperbolic Matrix(2319,-1772,1310,-1001) (29/38,13/17) -> (23/13,85/48) Hyperbolic Matrix(1081,-834,372,-287) (27/35,44/57) -> (26/9,3/1) Hyperbolic Matrix(2865,-2216,3536,-2735) (17/22,41/53) -> (17/21,47/58) Hyperbolic Matrix(333,-260,260,-203) (7/9,11/14) -> (23/18,9/7) Hyperbolic Matrix(1071,-844,184,-145) (26/33,15/19) -> (29/5,6/1) Hyperbolic Matrix(1843,-1458,1326,-1049) (15/19,19/24) -> (25/18,57/41) Hyperbolic Matrix(1533,-1240,1240,-1003) (21/26,17/21) -> (21/17,47/38) Hyperbolic Matrix(3935,-3192,948,-769) (30/37,43/53) -> (29/7,54/13) Hyperbolic Matrix(1959,-1606,616,-505) (9/11,32/39) -> (54/17,35/11) Hyperbolic Matrix(9715,-7974,7974,-6545) (32/39,55/67) -> (67/55,106/87) Hyperbolic Matrix(1267,-1042,580,-477) (23/28,14/17) -> (24/11,35/16) Hyperbolic Matrix(795,-656,326,-269) (14/17,5/6) -> (39/16,22/9) Hyperbolic Matrix(609,-514,250,-211) (5/6,11/13) -> (17/7,39/16) Hyperbolic Matrix(2891,-2456,1070,-909) (28/33,17/20) -> (27/10,100/37) Hyperbolic Matrix(673,-582,318,-275) (19/22,13/15) -> (19/9,17/8) Hyperbolic Matrix(459,-400,70,-61) (13/15,7/8) -> (13/2,33/5) Hyperbolic Matrix(1753,-1548,1086,-959) (15/17,8/9) -> (92/57,21/13) Hyperbolic Matrix(381,-344,278,-251) (8/9,1/1) -> (37/27,48/35) Hyperbolic Matrix(405,-454,124,-139) (1/1,9/8) -> (13/4,49/15) Hyperbolic Matrix(897,-1018,556,-631) (9/8,8/7) -> (50/31,71/44) Hyperbolic Matrix(733,-850,520,-603) (15/13,7/6) -> (31/22,55/39) Hyperbolic Matrix(273,-320,122,-143) (7/6,13/11) -> (29/13,9/4) Hyperbolic Matrix(181,-216,150,-179) (13/11,6/5) -> (6/5,23/19) Parabolic Matrix(3573,-4348,982,-1195) (45/37,28/23) -> (40/11,91/25) Hyperbolic Matrix(18803,-22910,6872,-8373) (106/87,39/32) -> (197/72,52/19) Hyperbolic Matrix(385,-472,208,-255) (11/9,16/13) -> (24/13,13/7) Hyperbolic Matrix(3163,-3898,1390,-1713) (16/13,37/30) -> (91/40,66/29) Hyperbolic Matrix(4343,-5358,1596,-1969) (37/30,21/17) -> (117/43,49/18) Hyperbolic Matrix(3245,-4014,384,-475) (47/38,73/59) -> (59/7,17/2) Hyperbolic Matrix(3717,-4600,442,-547) (73/59,26/21) -> (42/5,59/7) Hyperbolic Matrix(1019,-1292,698,-885) (19/15,33/26) -> (35/24,19/13) Hyperbolic Matrix(2147,-2738,1682,-2145) (14/11,37/29) -> (37/29,60/47) Parabolic Matrix(4777,-6178,1756,-2271) (53/41,22/17) -> (68/25,117/43) Hyperbolic Matrix(489,-634,172,-223) (22/17,13/10) -> (17/6,20/7) Hyperbolic Matrix(659,-860,200,-261) (13/10,17/13) -> (23/7,33/10) Hyperbolic Matrix(11515,-15082,4258,-5577) (55/42,38/29) -> (192/71,119/44) Hyperbolic Matrix(1741,-2284,1228,-1611) (38/29,21/16) -> (17/12,78/55) Hyperbolic Matrix(171,-226,28,-37) (21/16,4/3) -> (6/1,25/4) Hyperbolic Matrix(533,-722,392,-531) (4/3,19/14) -> (19/14,34/25) Parabolic Matrix(1535,-2096,446,-609) (15/11,41/30) -> (55/16,31/9) Hyperbolic Matrix(3091,-4234,1198,-1641) (26/19,37/27) -> (49/19,80/31) Hyperbolic Matrix(1833,-2524,1138,-1567) (11/8,51/37) -> (95/59,29/18) Hyperbolic Matrix(3219,-4438,610,-841) (51/37,40/29) -> (58/11,37/7) Hyperbolic Matrix(3797,-5246,2078,-2871) (29/21,76/55) -> (42/23,53/29) Hyperbolic Matrix(2659,-3676,970,-1341) (47/34,65/47) -> (63/23,11/4) Hyperbolic Matrix(747,-1036,442,-613) (18/13,25/18) -> (27/16,22/13) Hyperbolic Matrix(2371,-3304,1324,-1845) (39/28,7/5) -> (77/43,43/24) Hyperbolic Matrix(2167,-3046,604,-849) (7/5,38/27) -> (104/29,61/17) Hyperbolic Matrix(3423,-4828,1396,-1969) (55/39,24/17) -> (76/31,27/11) Hyperbolic Matrix(1943,-2744,1094,-1545) (24/17,65/46) -> (71/40,16/9) Hyperbolic Matrix(4757,-6728,3362,-4755) (41/29,58/41) -> (58/41,75/53) Parabolic Matrix(1119,-1588,136,-193) (61/43,44/31) -> (8/1,25/3) Hyperbolic Matrix(4387,-6238,2344,-3333) (91/64,64/45) -> (58/31,15/8) Hyperbolic Matrix(325,-466,136,-195) (10/7,13/9) -> (31/13,12/5) Hyperbolic Matrix(5519,-8076,1608,-2353) (19/13,60/41) -> (24/7,127/37) Hyperbolic Matrix(521,-800,338,-519) (3/2,20/13) -> (20/13,37/24) Parabolic Matrix(3549,-5492,674,-1043) (17/11,65/42) -> (21/4,79/15) Hyperbolic Matrix(7097,-11054,2606,-4059) (14/9,67/43) -> (177/65,128/47) Hyperbolic Matrix(7069,-11016,2502,-3899) (67/43,53/34) -> (113/40,65/23) Hyperbolic Matrix(1665,-2624,974,-1535) (11/7,41/26) -> (41/24,53/31) Hyperbolic Matrix(4661,-7352,1280,-2019) (41/26,71/45) -> (91/25,51/14) Hyperbolic Matrix(14363,-22664,5504,-8685) (71/45,101/64) -> (167/64,107/41) Hyperbolic Matrix(7013,-11070,2688,-4243) (101/64,30/19) -> (60/23,167/64) Hyperbolic Matrix(3119,-4932,972,-1537) (49/31,68/43) -> (16/5,61/19) Hyperbolic Matrix(4397,-6956,1610,-2547) (68/43,19/12) -> (71/26,112/41) Hyperbolic Matrix(255,-406,76,-121) (19/12,8/5) -> (10/3,27/8) Hyperbolic Matrix(987,-1588,202,-325) (37/23,66/41) -> (34/7,5/1) Hyperbolic Matrix(10429,-16830,3762,-6071) (71/44,92/57) -> (158/57,61/22) Hyperbolic Matrix(781,-1264,76,-123) (89/55,34/21) -> (10/1,11/1) Hyperbolic Matrix(479,-776,50,-81) (34/21,47/29) -> (9/1,10/1) Hyperbolic Matrix(1233,-2000,680,-1103) (47/29,13/8) -> (29/16,49/27) Hyperbolic Matrix(5347,-8710,1582,-2577) (57/35,44/27) -> (98/29,71/21) Hyperbolic Matrix(2051,-3362,1250,-2049) (18/11,41/25) -> (41/25,64/39) Parabolic Matrix(1911,-3236,662,-1121) (22/13,83/49) -> (49/17,26/9) Hyperbolic Matrix(2891,-4898,1004,-1701) (83/49,61/36) -> (23/8,49/17) Hyperbolic Matrix(561,-956,98,-167) (17/10,29/17) -> (17/3,23/4) Hyperbolic Matrix(7995,-13652,2828,-4829) (70/41,111/65) -> (65/23,82/29) Hyperbolic Matrix(7433,-12696,2730,-4663) (111/65,41/24) -> (49/18,177/65) Hyperbolic Matrix(7985,-13728,2112,-3631) (55/32,98/57) -> (34/9,121/32) Hyperbolic Matrix(169,-294,96,-167) (19/11,7/4) -> (7/4,23/13) Parabolic Matrix(4311,-7636,1762,-3121) (85/48,62/35) -> (22/9,93/38) Hyperbolic Matrix(3559,-6340,1258,-2241) (57/32,98/55) -> (82/29,17/6) Hyperbolic Matrix(2513,-4482,522,-931) (41/23,66/37) -> (24/5,53/11) Hyperbolic Matrix(5043,-9014,2084,-3725) (25/14,59/33) -> (75/31,121/50) Hyperbolic Matrix(16213,-28998,5964,-10667) (93/52,127/71) -> (193/71,87/32) Hyperbolic Matrix(11193,-20024,4118,-7367) (127/71,34/19) -> (106/39,193/71) Hyperbolic Matrix(13021,-23544,2820,-5099) (47/26,85/47) -> (217/47,157/34) Hyperbolic Matrix(7377,-13346,1598,-2891) (85/47,38/21) -> (60/13,217/47) Hyperbolic Matrix(1219,-2214,234,-425) (49/27,20/11) -> (26/5,47/9) Hyperbolic Matrix(1979,-3698,1058,-1977) (28/15,43/23) -> (43/23,58/31) Parabolic Matrix(435,-818,92,-173) (15/8,2/1) -> (52/11,19/4) Hyperbolic Matrix(267,-590,62,-137) (11/5,20/9) -> (30/7,13/3) Hyperbolic Matrix(2087,-4646,818,-1821) (20/9,49/22) -> (51/20,74/29) Hyperbolic Matrix(4293,-9764,1250,-2843) (25/11,91/40) -> (103/30,79/23) Hyperbolic Matrix(2055,-4678,322,-733) (66/29,41/18) -> (51/8,32/5) Hyperbolic Matrix(461,-1058,200,-459) (16/7,23/10) -> (23/10,30/13) Parabolic Matrix(177,-416,20,-47) (7/3,33/14) -> (17/2,9/1) Hyperbolic Matrix(3881,-9186,804,-1903) (71/30,116/49) -> (82/17,29/6) Hyperbolic Matrix(4155,-9838,862,-2041) (116/49,45/19) -> (53/11,82/17) Hyperbolic Matrix(1665,-3946,646,-1531) (45/19,19/8) -> (67/26,49/19) Hyperbolic Matrix(4433,-10550,1640,-3903) (69/29,50/21) -> (100/37,73/27) Hyperbolic Matrix(4061,-9800,1682,-4059) (41/17,70/29) -> (70/29,99/41) Parabolic Matrix(925,-2242,328,-795) (46/19,17/7) -> (31/11,48/17) Hyperbolic Matrix(15641,-38282,4556,-11151) (93/38,164/67) -> (230/67,103/30) Hyperbolic Matrix(15179,-37158,4422,-10825) (164/67,71/29) -> (127/37,230/67) Hyperbolic Matrix(553,-1360,172,-423) (27/11,5/2) -> (45/14,29/9) Hyperbolic Matrix(463,-1186,130,-333) (23/9,18/7) -> (32/9,25/7) Hyperbolic Matrix(8717,-22500,2304,-5947) (80/31,111/43) -> (87/23,140/37) Hyperbolic Matrix(2211,-5776,694,-1813) (47/18,81/31) -> (35/11,51/16) Hyperbolic Matrix(2299,-6016,274,-717) (34/13,123/47) -> (25/3,42/5) Hyperbolic Matrix(145,-384,54,-143) (21/8,8/3) -> (8/3,27/10) Parabolic Matrix(11333,-30644,2726,-7371) (73/27,265/98) -> (133/32,79/19) Hyperbolic Matrix(14735,-39846,3546,-9589) (265/98,192/71) -> (54/13,133/32) Hyperbolic Matrix(925,-2506,196,-531) (46/17,19/7) -> (33/7,52/11) Hyperbolic Matrix(1203,-3284,248,-677) (30/11,71/26) -> (29/6,34/7) Hyperbolic Matrix(15371,-42050,5618,-15369) (93/34,145/53) -> (145/53,197/72) Parabolic Matrix(6791,-18818,2450,-6789) (36/13,97/35) -> (97/35,158/57) Parabolic Matrix(279,-778,52,-145) (25/9,14/5) -> (16/3,27/5) Hyperbolic Matrix(2505,-7988,662,-2111) (51/16,16/5) -> (140/37,53/14) Hyperbolic Matrix(4341,-13942,940,-3019) (61/19,45/14) -> (157/34,97/21) Hyperbolic Matrix(489,-1688,104,-359) (31/9,7/2) -> (47/10,33/7) Hyperbolic Matrix(365,-1352,98,-363) (11/3,26/7) -> (26/7,41/11) Parabolic Matrix(1755,-6758,422,-1625) (77/20,27/7) -> (79/19,25/6) Hyperbolic Matrix(109,-486,24,-107) (22/5,9/2) -> (9/2,32/7) Parabolic Matrix(281,-1568,50,-279) (11/2,28/5) -> (28/5,45/8) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(883,422,634,303) -> Matrix(7,-2,4,-1) Matrix(501,236,622,293) -> Matrix(1,0,-4,1) Matrix(619,290,1492,699) -> Matrix(17,-4,-4,1) Matrix(1725,802,1112,517) -> Matrix(7,-2,60,-17) Matrix(1967,912,2586,1199) -> Matrix(7,-2,32,-9) Matrix(4915,2276,1354,627) -> Matrix(27,-8,44,-13) Matrix(243,112,614,283) -> Matrix(7,-2,4,-1) Matrix(2073,952,368,169) -> Matrix(43,-14,40,-13) Matrix(607,278,976,447) -> Matrix(5,-2,8,-3) Matrix(601,272,-3374,-1527) -> Matrix(11,-2,28,-5) Matrix(6267,2834,8914,4031) -> Matrix(1,0,-8,1) Matrix(2891,1306,1202,543) -> Matrix(19,-4,24,-5) Matrix(483,218,-2528,-1141) -> Matrix(11,-2,28,-5) Matrix(2641,1190,2044,921) -> Matrix(17,-4,64,-15) Matrix(1079,484,836,375) -> Matrix(7,-2,32,-9) Matrix(1555,696,954,427) -> Matrix(7,-2,4,-1) Matrix(1303,576,1536,679) -> Matrix(13,-4,-16,5) Matrix(589,260,-2834,-1251) -> Matrix(13,-4,36,-11) Matrix(1769,780,474,209) -> Matrix(55,-18,52,-17) Matrix(2119,932,1180,519) -> Matrix(17,-6,20,-7) Matrix(5179,2276,826,363) -> Matrix(19,-8,12,-5) Matrix(469,206,-3176,-1395) -> Matrix(1,0,0,1) Matrix(589,258,468,205) -> Matrix(1,0,0,1) Matrix(1403,612,2226,971) -> Matrix(19,-6,16,-5) Matrix(583,254,1990,867) -> Matrix(29,-10,32,-11) Matrix(2213,960,1284,557) -> Matrix(3,-2,8,-5) Matrix(351,152,-2330,-1009) -> Matrix(13,-4,36,-11) Matrix(1395,602,1972,851) -> Matrix(1,0,-4,1) Matrix(2525,1074,576,245) -> Matrix(21,-8,8,-3) Matrix(457,194,-2636,-1119) -> Matrix(5,-2,8,-3) Matrix(1491,632,2404,1019) -> Matrix(5,-2,8,-3) Matrix(3661,1548,4458,1885) -> Matrix(7,-2,4,-1) Matrix(8461,3576,13716,5797) -> Matrix(3,-2,8,-5) Matrix(2741,1158,6630,2801) -> Matrix(23,-6,4,-1) Matrix(911,384,-2166,-913) -> Matrix(25,-8,72,-23) Matrix(10243,4304,14572,6123) -> Matrix(17,-6,-48,17) Matrix(5237,2200,1364,573) -> Matrix(89,-32,64,-23) Matrix(1591,668,-6938,-2913) -> Matrix(11,-4,36,-13) Matrix(4665,1958,2728,1145) -> Matrix(49,-18,128,-47) Matrix(797,334,-2842,-1191) -> Matrix(11,-4,36,-13) Matrix(1587,664,1250,523) -> Matrix(5,-2,8,-3) Matrix(1809,752,3274,1361) -> Matrix(23,-8,-20,7) Matrix(11173,4640,5194,2157) -> Matrix(5,-2,8,-3) Matrix(9253,3842,6322,2625) -> Matrix(5,-2,8,-3) Matrix(1581,656,-5078,-2107) -> Matrix(11,-4,36,-13) Matrix(2481,1028,6760,2801) -> Matrix(7,-2,4,-1) Matrix(227,94,1688,699) -> Matrix(17,-6,20,-7) Matrix(1239,512,1798,743) -> Matrix(5,-2,-12,5) Matrix(4611,1904,2584,1067) -> Matrix(31,-12,44,-17) Matrix(1459,602,-6740,-2781) -> Matrix(5,-2,8,-3) Matrix(783,322,338,139) -> Matrix(13,-6,24,-11) Matrix(1117,458,1456,597) -> Matrix(3,-2,8,-5) Matrix(2005,818,1228,501) -> Matrix(1,0,-4,1) Matrix(1225,498,888,361) -> Matrix(5,-2,8,-3) Matrix(763,300,1086,427) -> Matrix(1,0,-4,1) Matrix(1305,512,2062,809) -> Matrix(7,-2,4,-1) Matrix(2383,932,652,255) -> Matrix(17,-6,20,-7) Matrix(4223,1650,11484,4487) -> Matrix(19,-8,12,-5) Matrix(3899,1522,1514,591) -> Matrix(9,-4,16,-7) Matrix(755,294,-1944,-757) -> Matrix(13,-6,24,-11) Matrix(8413,3264,6900,2677) -> Matrix(7,-4,44,-25) Matrix(11859,4600,3452,1339) -> Matrix(17,-10,12,-7) Matrix(2477,960,756,293) -> Matrix(3,-2,8,-5) Matrix(5061,1958,1936,749) -> Matrix(25,-18,32,-23) Matrix(1397,540,3552,1373) -> Matrix(1,0,0,1) Matrix(2905,1122,3762,1453) -> Matrix(5,-4,4,-3) Matrix(109,42,750,289) -> Matrix(1,0,0,1) Matrix(323,124,-1180,-453) -> Matrix(1,0,4,1) Matrix(1819,696,426,163) -> Matrix(7,-2,4,-1) Matrix(7159,2736,11322,4327) -> Matrix(7,-2,4,-1) Matrix(10255,3918,7368,2815) -> Matrix(7,-2,4,-1) Matrix(6833,2610,4914,1877) -> Matrix(5,-2,8,-3) Matrix(959,366,2670,1019) -> Matrix(7,-2,4,-1) Matrix(747,284,2554,971) -> Matrix(7,-8,8,-9) Matrix(1169,444,2130,809) -> Matrix(1,-4,0,1) Matrix(533,202,-2446,-927) -> Matrix(1,0,4,1) Matrix(2121,802,320,121) -> Matrix(9,2,4,1) Matrix(1801,680,1168,441) -> Matrix(1,0,20,1) Matrix(947,352,1364,507) -> Matrix(1,0,0,1) Matrix(943,350,1366,507) -> Matrix(1,0,-8,1) Matrix(1363,504,1674,619) -> Matrix(7,-2,4,-1) Matrix(731,270,2304,851) -> Matrix(29,-10,32,-11) Matrix(5543,2046,8580,3167) -> Matrix(37,-14,8,-3) Matrix(1047,386,1462,539) -> Matrix(1,0,-4,1) Matrix(7097,2610,4386,1613) -> Matrix(5,-2,8,-3) Matrix(419,154,2816,1035) -> Matrix(7,-2,4,-1) Matrix(1357,498,624,229) -> Matrix(5,-2,8,-3) Matrix(1457,534,2502,917) -> Matrix(5,-2,8,-3) Matrix(2813,1030,4580,1677) -> Matrix(5,-2,8,-3) Matrix(1559,570,1146,419) -> Matrix(17,-8,32,-15) Matrix(725,262,1652,597) -> Matrix(5,-4,4,-3) Matrix(1343,484,308,111) -> Matrix(1,2,0,1) Matrix(723,260,-2372,-853) -> Matrix(1,0,4,1) Matrix(721,258,204,73) -> Matrix(1,0,0,1) Matrix(1227,436,1742,619) -> Matrix(1,0,0,1) Matrix(2659,942,3678,1303) -> Matrix(9,2,-32,-7) Matrix(921,326,-4088,-1447) -> Matrix(15,2,52,7) Matrix(711,250,-3154,-1109) -> Matrix(17,-2,60,-7) Matrix(3153,1106,1930,677) -> Matrix(1,0,-8,1) Matrix(1113,388,1724,601) -> Matrix(15,-4,4,-1) Matrix(1211,418,704,243) -> Matrix(3,-2,8,-5) Matrix(1067,340,386,123) -> Matrix(1,0,-4,1) Matrix(1645,522,1062,337) -> Matrix(1,0,4,1) Matrix(1831,576,480,151) -> Matrix(21,-4,16,-3) Matrix(479,150,-1536,-481) -> Matrix(9,-2,32,-7) Matrix(3447,1072,2492,775) -> Matrix(5,-2,8,-3) Matrix(1627,504,1146,355) -> Matrix(7,-2,4,-1) Matrix(667,204,1710,523) -> Matrix(1,0,0,1) Matrix(3517,1074,2754,841) -> Matrix(1,0,8,1) Matrix(283,86,1234,375) -> Matrix(7,-2,4,-1) Matrix(1513,458,664,201) -> Matrix(3,-2,8,-5) Matrix(281,84,378,113) -> Matrix(1,0,4,1) Matrix(4129,1226,2536,753) -> Matrix(1,0,-12,1) Matrix(2253,668,1312,389) -> Matrix(19,-2,48,-5) Matrix(561,166,1220,361) -> Matrix(1,0,-8,1) Matrix(2527,746,376,111) -> Matrix(53,-8,20,-3) Matrix(4027,1188,1122,331) -> Matrix(25,-4,44,-7) Matrix(6353,1864,3548,1041) -> Matrix(5,-2,8,-3) Matrix(7659,2246,4948,1451) -> Matrix(1,0,4,1) Matrix(2055,602,652,191) -> Matrix(1,0,-4,1) Matrix(1027,300,558,163) -> Matrix(1,0,-4,1) Matrix(1211,352,836,243) -> Matrix(1,0,0,1) Matrix(1767,512,742,215) -> Matrix(13,-2,20,-3) Matrix(183,52,278,79) -> Matrix(9,-2,-4,1) Matrix(1377,388,1196,337) -> Matrix(15,-4,4,-1) Matrix(3761,1056,2112,593) -> Matrix(27,-8,44,-13) Matrix(1833,512,1006,281) -> Matrix(7,-2,4,-1) Matrix(2195,612,642,179) -> Matrix(19,-6,16,-5) Matrix(1003,278,184,51) -> Matrix(5,-2,8,-3) Matrix(3465,958,2738,757) -> Matrix(5,-2,8,-3) Matrix(6291,1738,8756,2419) -> Matrix(15,-8,-28,15) Matrix(12949,3576,4740,1309) -> Matrix(3,-2,8,-5) Matrix(821,226,1820,501) -> Matrix(1,2,0,1) Matrix(3733,1026,2274,625) -> Matrix(1,0,16,1) Matrix(633,172,92,25) -> Matrix(15,-4,4,-1) Matrix(1811,490,632,171) -> Matrix(17,-6,20,-7) Matrix(2985,806,1174,317) -> Matrix(9,-4,16,-7) Matrix(1625,438,4248,1145) -> Matrix(1,0,0,1) Matrix(633,170,2074,557) -> Matrix(5,-2,8,-3) Matrix(359,96,-1350,-361) -> Matrix(1,0,4,1) Matrix(2603,690,630,167) -> Matrix(21,-4,16,-3) Matrix(3413,904,1076,285) -> Matrix(1,0,-4,1) Matrix(3501,926,2242,593) -> Matrix(1,0,0,1) Matrix(9507,2510,3496,923) -> Matrix(7,-2,4,-1) Matrix(5557,1466,3946,1041) -> Matrix(13,-2,20,-3) Matrix(1697,444,1074,281) -> Matrix(17,-4,64,-15) Matrix(891,232,626,163) -> Matrix(7,-2,4,-1) Matrix(693,166,956,229) -> Matrix(1,0,-8,1) Matrix(953,226,1556,369) -> Matrix(7,-2,32,-9) Matrix(861,202,260,61) -> Matrix(7,-2,4,-1) Matrix(601,140,1378,321) -> Matrix(31,-10,28,-9) Matrix(2229,512,1798,413) -> Matrix(1,0,4,1) Matrix(1967,450,3510,803) -> Matrix(1,0,-4,1) Matrix(1367,312,942,215) -> Matrix(1,0,0,1) Matrix(1279,290,172,39) -> Matrix(17,-4,-4,1) Matrix(5117,1158,1878,425) -> Matrix(23,-6,4,-1) Matrix(8853,1990,2300,517) -> Matrix(199,-60,136,-41) Matrix(9873,2218,1874,421) -> Matrix(13,-4,36,-11) Matrix(2465,552,1362,305) -> Matrix(19,-6,16,-5) Matrix(931,204,1182,259) -> Matrix(1,0,0,1) Matrix(1519,332,2704,591) -> Matrix(1,0,-4,1) Matrix(1179,256,1856,403) -> Matrix(7,-2,4,-1) Matrix(3537,766,4382,949) -> Matrix(1,0,-4,1) Matrix(251,54,-1176,-253) -> Matrix(9,-2,32,-7) Matrix(3687,784,2516,535) -> Matrix(7,-2,4,-1) Matrix(9301,1976,6538,1389) -> Matrix(15,-4,4,-1) Matrix(4857,1028,2008,425) -> Matrix(7,-2,4,-1) Matrix(3935,832,752,159) -> Matrix(7,-2,4,-1) Matrix(3261,688,2678,565) -> Matrix(1,0,4,1) Matrix(1751,366,1086,227) -> Matrix(7,-2,4,-1) Matrix(9075,1882,3332,691) -> Matrix(15,-4,4,-1) Matrix(1411,290,832,171) -> Matrix(25,-8,72,-23) Matrix(1391,270,984,191) -> Matrix(29,-10,32,-11) Matrix(3105,596,1714,329) -> Matrix(5,-2,8,-3) Matrix(733,138,324,61) -> Matrix(1,0,0,1) Matrix(1379,256,404,75) -> Matrix(19,-6,16,-5) Matrix(1375,254,406,75) -> Matrix(29,-10,32,-11) Matrix(321,58,404,73) -> Matrix(5,-2,8,-3) Matrix(6263,1114,2648,471) -> Matrix(49,-20,76,-31) Matrix(2567,456,3372,599) -> Matrix(5,-2,8,-3) Matrix(8425,1494,6096,1081) -> Matrix(9,-4,16,-7) Matrix(239,42,882,155) -> Matrix(13,-6,24,-11) Matrix(2871,496,7820,1351) -> Matrix(5,-4,4,-3) Matrix(1595,274,716,123) -> Matrix(1,0,0,1) Matrix(627,100,1022,163) -> Matrix(1,0,0,1) Matrix(547,86,706,111) -> Matrix(7,-2,4,-1) Matrix(1325,202,1712,261) -> Matrix(17,-6,20,-7) Matrix(2489,376,4508,681) -> Matrix(23,-8,-20,7) Matrix(6825,1018,2018,301) -> Matrix(83,-32,96,-37) Matrix(5735,852,4032,599) -> Matrix(21,-8,8,-3) Matrix(387,56,76,11) -> Matrix(5,-2,8,-3) Matrix(611,82,380,51) -> Matrix(9,-4,16,-7) Matrix(151,20,838,111) -> Matrix(25,-12,48,-23) Matrix(379,48,150,19) -> Matrix(1,0,0,1) Matrix(1427,172,224,27) -> Matrix(1,2,0,1) Matrix(1423,170,226,27) -> Matrix(15,-2,8,-1) Matrix(373,42,222,25) -> Matrix(1,0,0,1) Matrix(887,94,368,39) -> Matrix(17,-6,20,-7) Matrix(365,36,294,29) -> Matrix(5,-2,28,-11) Matrix(359,28,500,39) -> Matrix(3,-2,-4,3) Matrix(479,-50,776,-81) -> Matrix(11,-6,24,-13) Matrix(1241,-144,474,-55) -> Matrix(23,-14,28,-17) Matrix(817,-108,174,-23) -> Matrix(3,-2,-4,3) Matrix(2381,-326,986,-135) -> Matrix(9,-8,8,-7) Matrix(459,-70,400,-61) -> Matrix(1,0,0,1) Matrix(1657,-258,456,-71) -> Matrix(3,2,4,3) Matrix(171,-28,226,-37) -> Matrix(1,0,0,1) Matrix(561,-98,956,-167) -> Matrix(9,-4,16,-7) Matrix(281,-50,1568,-279) -> Matrix(53,-26,104,-51) Matrix(279,-52,778,-145) -> Matrix(17,-10,12,-7) Matrix(721,-136,334,-63) -> Matrix(3,-2,8,-5) Matrix(2493,-478,4042,-775) -> Matrix(31,-20,76,-49) Matrix(2877,-556,1216,-235) -> Matrix(47,-32,72,-49) Matrix(983,-206,272,-57) -> Matrix(1,0,0,1) Matrix(435,-92,818,-173) -> Matrix(3,-2,-4,3) Matrix(817,-174,108,-23) -> Matrix(11,-8,-4,3) Matrix(705,-152,218,-47) -> Matrix(5,-4,4,-3) Matrix(109,-24,486,-107) -> Matrix(9,-8,8,-7) Matrix(5651,-1278,3984,-901) -> Matrix(13,-18,8,-11) Matrix(7425,-1682,3068,-695) -> Matrix(1,-2,4,-7) Matrix(1827,-416,1076,-245) -> Matrix(3,-2,8,-5) Matrix(267,-62,590,-137) -> Matrix(1,2,0,1) Matrix(801,-190,586,-139) -> Matrix(5,-2,8,-3) Matrix(157,-40,106,-27) -> Matrix(1,0,0,1) Matrix(1883,-492,1152,-301) -> Matrix(1,0,-4,1) Matrix(731,-194,260,-69) -> Matrix(5,-2,8,-3) Matrix(365,-98,1352,-363) -> Matrix(21,-10,40,-19) Matrix(3937,-1080,2796,-767) -> Matrix(1,0,0,1) Matrix(3625,-996,1656,-455) -> Matrix(3,-2,8,-5) Matrix(1657,-456,258,-71) -> Matrix(19,-12,8,-5) Matrix(983,-272,206,-57) -> Matrix(3,-2,-4,3) Matrix(1753,-490,1084,-303) -> Matrix(1,0,0,1) Matrix(463,-130,1186,-333) -> Matrix(3,-2,8,-5) Matrix(409,-118,52,-15) -> Matrix(3,-2,-4,3) Matrix(1279,-372,306,-89) -> Matrix(27,-22,16,-13) Matrix(255,-76,406,-121) -> Matrix(1,0,0,1) Matrix(659,-200,860,-261) -> Matrix(3,-2,8,-5) Matrix(1871,-572,1364,-417) -> Matrix(1,0,0,1) Matrix(705,-218,152,-47) -> Matrix(3,-2,-4,3) Matrix(2211,-694,5776,-1813) -> Matrix(5,-4,4,-3) Matrix(1959,-616,1606,-505) -> Matrix(7,-6,48,-41) Matrix(1701,-542,1202,-383) -> Matrix(21,-20,20,-19) Matrix(489,-172,634,-223) -> Matrix(3,-4,4,-5) Matrix(731,-260,194,-69) -> Matrix(5,-4,4,-3) Matrix(2425,-874,874,-315) -> Matrix(1,-2,4,-7) Matrix(3005,-1086,1746,-631) -> Matrix(5,-8,12,-19) Matrix(5317,-1942,2998,-1095) -> Matrix(5,-2,8,-3) Matrix(5945,-2174,2174,-795) -> Matrix(3,-4,4,-5) Matrix(4397,-1610,6956,-2547) -> Matrix(1,0,0,1) Matrix(11013,-4034,3044,-1115) -> Matrix(3,-4,4,-5) Matrix(19695,-7232,7628,-2801) -> Matrix(17,-22,24,-31) Matrix(4343,-1596,5358,-1969) -> Matrix(5,-8,12,-19) Matrix(3667,-1350,1350,-497) -> Matrix(1,0,0,1) Matrix(145,-54,384,-143) -> Matrix(1,-2,0,1) Matrix(479,-182,908,-345) -> Matrix(1,0,0,1) Matrix(7029,-2672,2870,-1091) -> Matrix(3,2,4,3) Matrix(5737,-2182,2248,-855) -> Matrix(3,2,4,3) Matrix(1577,-602,668,-255) -> Matrix(5,-2,8,-3) Matrix(11455,-4386,4056,-1553) -> Matrix(5,-2,8,-3) Matrix(2003,-768,1098,-421) -> Matrix(1,0,0,1) Matrix(523,-202,334,-129) -> Matrix(1,0,4,1) Matrix(2369,-930,996,-391) -> Matrix(1,0,0,1) Matrix(1735,-706,376,-153) -> Matrix(5,-6,-4,5) Matrix(985,-402,468,-191) -> Matrix(7,-10,12,-17) Matrix(6843,-2794,2530,-1033) -> Matrix(25,-36,16,-23) Matrix(795,-326,656,-269) -> Matrix(1,-2,12,-23) Matrix(1775,-732,468,-193) -> Matrix(5,-14,4,-11) Matrix(8127,-3358,1774,-733) -> Matrix(1,-6,0,1) Matrix(2381,-986,326,-135) -> Matrix(1,-20,0,1) Matrix(1679,-696,234,-97) -> Matrix(1,14,0,1) Matrix(6623,-2750,1958,-813) -> Matrix(7,20,8,23) Matrix(325,-136,466,-195) -> Matrix(1,0,0,1) Matrix(3621,-1528,2320,-979) -> Matrix(1,0,4,1) Matrix(20325,-8584,5614,-2371) -> Matrix(5,-2,8,-3) Matrix(21667,-9154,5986,-2529) -> Matrix(1,0,0,1) Matrix(2877,-1216,556,-235) -> Matrix(1,0,0,1) Matrix(1577,-668,602,-255) -> Matrix(3,-4,4,-5) Matrix(461,-200,1058,-459) -> Matrix(13,-12,12,-11) Matrix(7657,-3364,2110,-927) -> Matrix(7,-10,12,-17) Matrix(3163,-1390,3898,-1713) -> Matrix(7,-10,12,-17) Matrix(1421,-626,824,-363) -> Matrix(5,-8,12,-19) Matrix(273,-122,320,-143) -> Matrix(1,-2,0,1) Matrix(1267,-580,1042,-477) -> Matrix(1,2,8,17) Matrix(721,-334,136,-63) -> Matrix(1,0,0,1) Matrix(2605,-1222,1618,-759) -> Matrix(3,-4,4,-5) Matrix(985,-468,402,-191) -> Matrix(3,-4,4,-5) Matrix(559,-300,300,-161) -> Matrix(1,0,0,1) Matrix(385,-208,472,-255) -> Matrix(1,0,0,1) Matrix(2003,-1098,768,-421) -> Matrix(3,14,4,19) Matrix(1233,-680,2000,-1103) -> Matrix(3,4,8,11) Matrix(765,-424,424,-235) -> Matrix(3,2,4,3) Matrix(5973,-3332,4322,-2411) -> Matrix(3,2,4,3) Matrix(2371,-1324,3304,-1845) -> Matrix(5,2,-8,-3) Matrix(7493,-4190,4190,-2343) -> Matrix(5,-2,8,-3) Matrix(4063,-2274,888,-497) -> Matrix(1,-2,0,1) Matrix(8119,-4552,2242,-1257) -> Matrix(3,2,4,3) Matrix(6469,-3630,3762,-2111) -> Matrix(5,2,12,5) Matrix(169,-96,294,-167) -> Matrix(1,0,4,1) Matrix(7783,-4494,4560,-2633) -> Matrix(13,-4,36,-11) Matrix(6527,-3770,2384,-1377) -> Matrix(7,-2,4,-1) Matrix(7487,-4328,2216,-1281) -> Matrix(37,-16,44,-19) Matrix(2133,-1234,1630,-943) -> Matrix(3,-2,8,-5) Matrix(1421,-824,626,-363) -> Matrix(3,-2,8,-5) Matrix(3005,-1746,1086,-631) -> Matrix(1,0,0,1) Matrix(6469,-3762,3630,-2111) -> Matrix(13,-2,20,-3) Matrix(1665,-974,2624,-1535) -> Matrix(7,-2,4,-1) Matrix(20313,-11894,7868,-4607) -> Matrix(3,2,4,3) Matrix(19521,-11432,5162,-3023) -> Matrix(19,-6,16,-5) Matrix(5909,-3462,3330,-1951) -> Matrix(9,-4,16,-7) Matrix(1331,-782,914,-537) -> Matrix(3,-2,8,-5) Matrix(1827,-1076,416,-245) -> Matrix(13,-10,4,-3) Matrix(3237,-1910,1910,-1127) -> Matrix(15,-14,44,-41) Matrix(747,-442,1036,-613) -> Matrix(3,-4,-8,11) Matrix(205,-124,124,-75) -> Matrix(1,0,4,1) Matrix(1883,-1152,492,-301) -> Matrix(21,-4,16,-3) Matrix(6667,-4092,3762,-2309) -> Matrix(9,-4,16,-7) Matrix(7019,-4334,1958,-1209) -> Matrix(25,-12,48,-23) Matrix(1753,-1084,490,-303) -> Matrix(3,-2,8,-5) Matrix(897,-556,1018,-631) -> Matrix(3,-2,-4,3) Matrix(2605,-1618,1222,-759) -> Matrix(1,0,0,1) Matrix(7653,-4756,2116,-1315) -> Matrix(1,0,0,1) Matrix(6435,-4058,2672,-1685) -> Matrix(7,-8,8,-9) Matrix(5949,-3754,3358,-2119) -> Matrix(7,-10,12,-17) Matrix(8409,-5318,1820,-1151) -> Matrix(1,-2,0,1) Matrix(3031,-1920,1656,-1049) -> Matrix(1,0,0,1) Matrix(9897,-6272,5414,-3431) -> Matrix(7,-8,8,-9) Matrix(3717,-2356,1696,-1075) -> Matrix(3,-4,4,-5) Matrix(523,-334,202,-129) -> Matrix(3,-4,4,-5) Matrix(1285,-828,762,-491) -> Matrix(1,-4,4,-15) Matrix(5091,-3290,2366,-1529) -> Matrix(1,-4,0,1) Matrix(521,-338,800,-519) -> Matrix(1,-14,0,1) Matrix(157,-106,40,-27) -> Matrix(1,2,0,1) Matrix(901,-618,156,-107) -> Matrix(11,4,8,3) Matrix(2181,-1516,856,-595) -> Matrix(5,-2,8,-3) Matrix(4185,-2944,2944,-2071) -> Matrix(1,2,0,1) Matrix(10841,-7640,4142,-2919) -> Matrix(13,4,16,5) Matrix(5149,-3630,1122,-791) -> Matrix(1,-2,0,1) Matrix(1701,-1202,542,-383) -> Matrix(1,0,0,1) Matrix(1199,-848,386,-273) -> Matrix(1,2,0,1) Matrix(8115,-5744,4754,-3365) -> Matrix(3,4,8,11) Matrix(733,-520,850,-603) -> Matrix(1,0,0,1) Matrix(3937,-2796,1080,-767) -> Matrix(3,-4,4,-5) Matrix(425,-302,38,-27) -> Matrix(1,2,0,1) Matrix(1843,-1326,1458,-1049) -> Matrix(9,4,20,9) Matrix(1727,-1244,1112,-801) -> Matrix(5,2,32,13) Matrix(8695,-6288,4902,-3545) -> Matrix(43,12,68,19) Matrix(5973,-4322,3332,-2411) -> Matrix(61,16,80,21) Matrix(9495,-6872,3638,-2633) -> Matrix(133,34,176,45) Matrix(2793,-2026,1300,-943) -> Matrix(9,2,4,1) Matrix(1797,-1304,842,-611) -> Matrix(11,2,16,3) Matrix(1871,-1364,572,-417) -> Matrix(1,0,8,1) Matrix(2975,-2172,1908,-1393) -> Matrix(1,0,12,1) Matrix(801,-586,190,-139) -> Matrix(17,2,8,1) Matrix(533,-392,722,-531) -> Matrix(1,0,36,1) Matrix(4119,-3142,898,-685) -> Matrix(9,-2,-4,1) Matrix(2319,-1772,1310,-1001) -> Matrix(9,-4,16,-7) Matrix(1081,-834,372,-287) -> Matrix(5,-4,4,-3) Matrix(2865,-2216,3536,-2735) -> Matrix(3,-2,8,-5) Matrix(333,-260,260,-203) -> Matrix(1,0,4,1) Matrix(1071,-844,184,-145) -> Matrix(7,-2,4,-1) Matrix(1843,-1458,1326,-1049) -> Matrix(1,0,0,1) Matrix(1533,-1240,1240,-1003) -> Matrix(1,0,0,1) Matrix(3935,-3192,948,-769) -> Matrix(29,-16,20,-11) Matrix(1959,-1606,616,-505) -> Matrix(1,0,0,1) Matrix(9715,-7974,7974,-6545) -> Matrix(5,-6,36,-43) Matrix(1267,-1042,580,-477) -> Matrix(1,0,0,1) Matrix(795,-656,326,-269) -> Matrix(3,-4,4,-5) Matrix(609,-514,250,-211) -> Matrix(3,2,4,3) Matrix(2891,-2456,1070,-909) -> Matrix(11,4,8,3) Matrix(673,-582,318,-275) -> Matrix(3,2,4,3) Matrix(459,-400,70,-61) -> Matrix(1,2,0,1) Matrix(1753,-1548,1086,-959) -> Matrix(1,0,4,1) Matrix(381,-344,278,-251) -> Matrix(3,2,4,3) Matrix(405,-454,124,-139) -> Matrix(1,0,0,1) Matrix(897,-1018,556,-631) -> Matrix(1,0,0,1) Matrix(733,-850,520,-603) -> Matrix(3,2,4,3) Matrix(273,-320,122,-143) -> Matrix(1,0,4,1) Matrix(181,-216,150,-179) -> Matrix(1,0,16,1) Matrix(3573,-4348,982,-1195) -> Matrix(61,-8,84,-11) Matrix(18803,-22910,6872,-8373) -> Matrix(99,-14,92,-13) Matrix(385,-472,208,-255) -> Matrix(1,0,-4,1) Matrix(3163,-3898,1390,-1713) -> Matrix(11,-2,28,-5) Matrix(4343,-5358,1596,-1969) -> Matrix(7,-2,4,-1) Matrix(3245,-4014,384,-475) -> Matrix(1,0,8,1) Matrix(3717,-4600,442,-547) -> Matrix(1,0,-20,1) Matrix(1019,-1292,698,-885) -> Matrix(1,0,0,1) Matrix(2147,-2738,1682,-2145) -> Matrix(1,0,16,1) Matrix(4777,-6178,1756,-2271) -> Matrix(15,-4,4,-1) Matrix(489,-634,172,-223) -> Matrix(5,-2,8,-3) Matrix(659,-860,200,-261) -> Matrix(5,-2,8,-3) Matrix(11515,-15082,4258,-5577) -> Matrix(79,-38,52,-25) Matrix(1741,-2284,1228,-1611) -> Matrix(5,-4,4,-3) Matrix(171,-226,28,-37) -> Matrix(7,-2,4,-1) Matrix(533,-722,392,-531) -> Matrix(21,-10,40,-19) Matrix(1535,-2096,446,-609) -> Matrix(17,-10,12,-7) Matrix(3091,-4234,1198,-1641) -> Matrix(25,-16,36,-23) Matrix(1833,-2524,1138,-1567) -> Matrix(1,0,0,1) Matrix(3219,-4438,610,-841) -> Matrix(1,0,0,1) Matrix(3797,-5246,2078,-2871) -> Matrix(1,0,0,1) Matrix(2659,-3676,970,-1341) -> Matrix(5,-4,4,-3) Matrix(747,-1036,442,-613) -> Matrix(1,-2,4,-7) Matrix(2371,-3304,1324,-1845) -> Matrix(3,2,4,3) Matrix(2167,-3046,604,-849) -> Matrix(9,-4,16,-7) Matrix(3423,-4828,1396,-1969) -> Matrix(1,0,0,1) Matrix(1943,-2744,1094,-1545) -> Matrix(17,-14,28,-23) Matrix(4757,-6728,3362,-4755) -> Matrix(33,-32,32,-31) Matrix(1119,-1588,136,-193) -> Matrix(1,-2,0,1) Matrix(4387,-6238,2344,-3333) -> Matrix(1,-2,8,-15) Matrix(325,-466,136,-195) -> Matrix(3,2,4,3) Matrix(5519,-8076,1608,-2353) -> Matrix(5,-4,4,-3) Matrix(521,-800,338,-519) -> Matrix(1,0,24,1) Matrix(3549,-5492,674,-1043) -> Matrix(1,0,-8,1) Matrix(7097,-11054,2606,-4059) -> Matrix(7,-2,4,-1) Matrix(7069,-11016,2502,-3899) -> Matrix(13,-2,20,-3) Matrix(1665,-2624,974,-1535) -> Matrix(35,-8,92,-21) Matrix(4661,-7352,1280,-2019) -> Matrix(91,-22,120,-29) Matrix(14363,-22664,5504,-8685) -> Matrix(403,-100,536,-133) Matrix(7013,-11070,2688,-4243) -> Matrix(197,-50,264,-67) Matrix(3119,-4932,972,-1537) -> Matrix(29,-8,40,-11) Matrix(4397,-6956,1610,-2547) -> Matrix(7,-2,32,-9) Matrix(255,-406,76,-121) -> Matrix(5,-2,8,-3) Matrix(987,-1588,202,-325) -> Matrix(3,-2,8,-5) Matrix(10429,-16830,3762,-6071) -> Matrix(1,0,4,1) Matrix(781,-1264,76,-123) -> Matrix(5,-4,4,-3) Matrix(479,-776,50,-81) -> Matrix(1,0,0,1) Matrix(1233,-2000,680,-1103) -> Matrix(1,0,0,1) Matrix(5347,-8710,1582,-2577) -> Matrix(17,-6,20,-7) Matrix(2051,-3362,1250,-2049) -> Matrix(1,0,32,1) Matrix(1911,-3236,662,-1121) -> Matrix(67,-22,64,-21) Matrix(2891,-4898,1004,-1701) -> Matrix(113,-38,116,-39) Matrix(561,-956,98,-167) -> Matrix(7,-2,4,-1) Matrix(7995,-13652,2828,-4829) -> Matrix(17,-6,20,-7) Matrix(7433,-12696,2730,-4663) -> Matrix(5,-2,8,-3) Matrix(7985,-13728,2112,-3631) -> Matrix(47,-20,40,-17) Matrix(169,-294,96,-167) -> Matrix(13,-6,24,-11) Matrix(4311,-7636,1762,-3121) -> Matrix(3,-2,8,-5) Matrix(3559,-6340,1258,-2241) -> Matrix(25,-16,36,-23) Matrix(2513,-4482,522,-931) -> Matrix(3,-2,-28,19) Matrix(5043,-9014,2084,-3725) -> Matrix(3,-2,8,-5) Matrix(16213,-28998,5964,-10667) -> Matrix(67,-44,32,-21) Matrix(11193,-20024,4118,-7367) -> Matrix(53,-36,28,-19) Matrix(13021,-23544,2820,-5099) -> Matrix(23,-22,-24,23) Matrix(7377,-13346,1598,-2891) -> Matrix(13,-14,-12,13) Matrix(1219,-2214,234,-425) -> Matrix(1,0,0,1) Matrix(1979,-3698,1058,-1977) -> Matrix(1,0,12,1) Matrix(435,-818,92,-173) -> Matrix(1,0,-4,1) Matrix(267,-590,62,-137) -> Matrix(1,2,0,1) Matrix(2087,-4646,818,-1821) -> Matrix(5,-2,8,-3) Matrix(4293,-9764,1250,-2843) -> Matrix(7,-2,4,-1) Matrix(2055,-4678,322,-733) -> Matrix(21,-8,8,-3) Matrix(461,-1058,200,-459) -> Matrix(29,-14,56,-27) Matrix(177,-416,20,-47) -> Matrix(3,-2,8,-5) Matrix(3881,-9186,804,-1903) -> Matrix(3,-2,92,-61) Matrix(4155,-9838,862,-2041) -> Matrix(3,-2,-88,59) Matrix(1665,-3946,646,-1531) -> Matrix(23,-16,36,-25) Matrix(4433,-10550,1640,-3903) -> Matrix(29,-16,20,-11) Matrix(4061,-9800,1682,-4059) -> Matrix(17,-16,16,-15) Matrix(925,-2242,328,-795) -> Matrix(1,0,0,1) Matrix(15641,-38282,4556,-11151) -> Matrix(9,-8,8,-7) Matrix(15179,-37158,4422,-10825) -> Matrix(5,-4,4,-3) Matrix(553,-1360,172,-423) -> Matrix(5,-4,4,-3) Matrix(463,-1186,130,-333) -> Matrix(3,-2,8,-5) Matrix(8717,-22500,2304,-5947) -> Matrix(9,-8,8,-7) Matrix(2211,-5776,694,-1813) -> Matrix(13,-10,4,-3) Matrix(2299,-6016,274,-717) -> Matrix(5,-4,-36,29) Matrix(145,-384,54,-143) -> Matrix(9,-8,8,-7) Matrix(11333,-30644,2726,-7371) -> Matrix(157,-234,104,-155) Matrix(14735,-39846,3546,-9589) -> Matrix(191,-288,128,-193) Matrix(925,-2506,196,-531) -> Matrix(1,-2,0,1) Matrix(1203,-3284,248,-677) -> Matrix(1,0,4,1) Matrix(15371,-42050,5618,-15369) -> Matrix(25,-24,24,-23) Matrix(6791,-18818,2450,-6789) -> Matrix(1,0,8,1) Matrix(279,-778,52,-145) -> Matrix(1,0,0,1) Matrix(2505,-7988,662,-2111) -> Matrix(5,6,4,5) Matrix(4341,-13942,940,-3019) -> Matrix(7,-6,-8,7) Matrix(489,-1688,104,-359) -> Matrix(1,-2,0,1) Matrix(365,-1352,98,-363) -> Matrix(29,-28,28,-27) Matrix(1755,-6758,422,-1625) -> Matrix(73,-108,48,-71) Matrix(109,-486,24,-107) -> Matrix(1,-6,0,1) Matrix(281,-1568,50,-279) -> Matrix(21,-20,20,-19) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 12 Minimal number of generators: 3 Number of equivalence classes of cusps: 4 Genus: 0 Degree of H/liftables -> H/(image of liftables): 80 Degree of the the map X: 160 Degree of the the map Y: 480 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1440 Minimal number of generators: 241 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 80 Genus: 81 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -9/20 -2/5 -7/18 -5/16 -1/4 -3/14 0/1 5/28 1/5 2/9 7/26 3/8 29/70 49/116 10/23 1/2 4/7 13/20 41/58 23/32 14/19 4/5 5/6 1/1 6/5 5/4 37/29 19/14 32/23 7/5 13/9 3/2 20/13 11/7 101/64 13/8 41/25 83/49 7/4 2/1 17/8 15/7 23/10 19/8 5/2 13/5 8/3 265/98 11/4 97/35 3/1 13/4 10/3 17/5 7/2 43/12 11/3 26/7 15/4 4/1 17/4 13/3 9/2 19/4 5/1 11/2 28/5 23/4 6/1 25/4 19/3 13/2 27/4 7/1 8/1 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 1/4 -6/13 3/10 1/3 -17/37 7/22 1/3 -11/24 3/8 -5/11 1/4 1/2 -9/20 1/4 -13/29 1/4 3/11 -4/9 1/4 1/3 -15/34 9/28 -11/25 1/3 5/14 -29/66 3/8 -18/41 2/5 1/2 -7/16 1/4 -3/7 1/4 1/3 -11/26 1/4 -8/19 1/3 -21/50 3/8 -34/81 4/11 11/30 -13/31 3/8 1/2 -18/43 3/8 2/5 -5/12 1/4 -12/29 4/11 3/8 -7/17 3/7 1/2 -2/5 1/4 1/2 -9/23 1/3 1/2 -7/18 1/2 -12/31 1/2 2/3 -29/75 5/6 1/1 -17/44 3/4 -5/13 1/1 1/0 -13/34 1/4 -34/89 1/3 -21/55 1/2 1/1 -8/21 1/2 2/3 -11/29 -1/2 1/0 -14/37 -1/2 0/1 -17/45 -1/8 0/1 -3/8 1/4 -7/19 1/4 1/2 -4/11 1/2 1/1 -9/25 1/1 1/0 -5/14 1/0 -1/3 0/1 1/2 -6/19 0/1 1/6 -5/16 1/4 -9/29 1/3 1/2 -4/13 1/4 1/2 -11/36 1/0 -7/23 1/5 1/4 -3/10 1/0 -11/37 0/1 1/18 -8/27 0/1 1/10 -5/17 1/6 1/4 -12/41 0/1 1/4 -7/24 1/4 -9/31 0/1 -2/7 1/5 1/4 -7/25 1/4 3/10 -12/43 3/10 1/3 -5/18 1/4 -13/47 1/3 1/2 -8/29 1/2 1/0 -11/40 -1/4 -3/11 1/5 1/4 -7/26 1/4 -4/15 0/1 -9/34 1/4 -5/19 1/6 1/5 -1/4 1/4 -4/17 2/7 3/10 -7/30 5/16 -3/13 1/3 1/2 -11/48 1/4 -8/35 1/4 1/2 -5/22 1/4 -7/31 1/4 5/18 -2/9 1/3 1/2 -7/32 1/4 -12/55 0/1 1/2 -5/23 1/4 1/2 -3/14 1/4 -4/19 1/4 3/10 -5/24 5/16 -6/29 2/7 3/10 -1/5 1/4 1/3 -3/16 1/4 -5/27 1/3 -2/11 3/8 1/2 -1/6 1/4 -1/7 3/8 1/2 -1/8 1/0 0/1 0/1 1/2 1/8 3/4 2/15 2/3 3/4 3/22 7/8 1/7 1/1 1/0 1/6 1/4 3/17 7/15 1/2 5/28 1/2 2/11 1/2 6/11 3/16 5/8 4/21 8/13 5/8 5/26 21/32 1/5 1/2 3/4 3/14 3/4 2/9 1/1 5/22 1/0 8/35 4/3 3/2 3/13 3/1 1/0 4/17 1/2 1/0 1/4 1/0 5/19 1/4 1/2 4/15 2/5 1/2 7/26 1/2 3/11 1/2 3/5 11/40 5/8 8/29 5/8 2/3 5/18 3/4 7/25 1/3 1/2 2/7 1/2 3/4 7/24 17/20 5/17 1/1 3/10 1/0 4/13 2/3 3/4 5/16 3/4 6/19 6/7 7/8 7/22 15/16 1/3 1/1 1/0 6/17 3/2 2/1 5/14 5/4 14/39 3/2 8/5 9/25 3/2 5/3 13/36 1/0 4/11 3/2 1/0 3/8 1/0 5/13 1/2 1/0 7/18 1/0 16/41 1/4 1/2 9/23 3/7 1/2 11/28 3/4 13/33 5/6 1/1 2/5 1/2 1/1 11/27 5/4 4/3 20/49 17/12 3/2 9/22 13/8 7/17 5/2 1/0 12/29 8/1 1/0 29/70 1/0 17/41 -9/1 1/0 22/53 -7/2 1/0 5/12 1/0 8/19 1/2 1/0 19/45 0/1 1/2 49/116 1/2 30/71 1/2 1/1 11/26 1/0 3/7 1/2 1/1 10/23 1/1 17/39 1/1 11/10 7/16 5/4 18/41 1/1 3/2 11/25 3/2 1/0 4/9 3/2 2/1 9/20 7/4 14/31 5/2 1/0 5/11 5/1 1/0 1/2 1/0 6/11 4/1 1/0 17/31 -9/2 1/0 11/20 -9/4 16/29 -3/2 -5/4 5/9 -1/1 -1/2 14/25 -1/2 1/0 37/66 1/0 23/41 -1/2 0/1 32/57 -1/2 0/1 9/16 1/0 4/7 0/1 15/26 1/4 41/71 1/3 1/2 26/45 1/3 3/8 37/64 9/20 11/19 1/2 1/0 18/31 0/1 1/0 7/12 1/0 17/29 3/7 1/2 27/46 7/12 10/17 1/2 3/4 23/39 7/8 1/1 13/22 9/8 3/5 -1/1 1/0 11/18 1/8 8/13 1/4 1/2 37/60 11/28 29/47 3/7 1/2 21/34 1/2 13/21 1/2 1/1 31/50 3/4 18/29 1/2 2/3 41/66 3/4 23/37 1/2 3/4 5/8 1/0 12/19 1/1 3/2 31/49 1/1 3/2 19/30 1/0 64/101 1/1 45/71 1/1 5/4 26/41 4/3 3/2 7/11 3/2 1/0 9/14 1/0 20/31 7/2 1/0 11/17 6/1 1/0 13/20 1/0 2/3 -1/1 1/0 13/19 -1/2 -5/11 11/16 -1/4 9/13 0/1 7/10 1/0 12/17 0/1 1/0 41/58 1/0 29/41 -1/1 1/0 46/65 -1/2 1/0 17/24 1/0 22/31 -1/2 0/1 27/38 1/0 5/7 -1/2 1/0 28/39 -2/3 -1/2 23/32 -1/2 18/25 -1/2 -2/5 31/43 -3/8 -7/19 13/18 -5/16 21/29 -1/4 -5/21 29/40 -1/4 8/11 -1/6 0/1 27/37 -1/6 0/1 19/26 -1/8 11/15 -1/14 0/1 14/19 0/1 17/23 0/1 1/22 3/4 1/4 7/9 -1/1 1/0 11/14 1/4 26/33 1/3 1/2 15/19 1/2 3/5 19/24 1/0 4/5 1/2 1/0 25/31 -1/1 -1/2 21/26 -1/4 17/21 0/1 1/4 30/37 6/13 1/2 13/16 3/4 9/11 1/2 1/1 5/6 1/0 6/7 -1/2 0/1 19/22 1/0 13/15 -1/4 0/1 7/8 1/0 15/17 -1/1 -1/2 8/9 0/1 1/0 1/1 0/1 1/2 7/6 1/0 6/5 0/1 17/14 3/28 28/23 1/8 3/22 11/9 1/6 1/5 16/13 0/1 1/4 5/4 1/4 24/19 2/5 1/2 43/34 1/2 19/15 1/2 1/1 33/26 3/4 14/11 0/1 1/0 37/29 0/1 60/47 0/1 1/16 23/18 1/8 9/7 1/4 1/3 31/24 1/4 22/17 1/4 3/10 13/10 1/4 17/13 3/8 1/2 55/42 13/28 38/29 1/2 8/15 21/16 1/0 4/3 1/3 1/2 19/14 1/2 15/11 1/2 4/7 26/19 1/2 5/8 37/27 2/3 7/10 11/8 3/4 29/21 3/4 1/1 47/34 3/4 65/47 1/2 1/1 18/13 5/6 1/1 25/18 1/0 57/41 1/2 3/5 32/23 1/1 71/51 1/1 3/2 39/28 1/0 7/5 1/2 1/0 17/12 5/4 44/31 3/2 1/0 27/19 1/1 3/2 37/26 1/0 10/7 -2/1 1/0 13/9 0/1 29/20 1/4 16/11 1/4 1/2 3/2 1/0 20/13 0/1 37/24 1/24 17/11 0/1 1/12 48/31 0/1 1/10 31/20 1/8 14/9 0/1 1/6 67/43 0/1 53/34 1/4 39/25 0/1 1/6 64/41 1/6 1/4 25/16 1/4 11/7 1/6 1/4 41/26 1/4 71/45 17/69 1/4 101/64 1/4 30/19 1/4 8/31 19/12 7/24 8/5 2/5 1/2 29/18 3/4 50/31 1/2 1/0 21/13 1/3 1/2 55/34 3/4 89/55 1/2 3/4 34/21 1/1 47/29 1/2 1/1 13/8 1/0 57/35 0/1 1/6 44/27 1/1 1/0 31/19 -1/1 1/0 49/30 -1/4 18/11 -1/4 0/1 41/25 0/1 64/39 0/1 1/28 23/14 1/12 5/3 1/4 1/3 32/19 1/4 1/2 27/16 1/4 22/13 7/22 1/3 83/49 1/3 61/36 23/68 39/23 1/3 7/20 56/33 6/17 5/14 17/10 3/8 29/17 1/3 5/14 99/58 3/8 70/41 5/14 3/8 41/24 3/8 53/31 3/8 13/34 12/7 2/5 1/2 7/4 1/2 9/5 1/2 1/1 38/21 1/1 7/6 29/16 1/0 49/27 1/2 1/1 20/11 1/2 1/1 31/17 1/2 1/0 11/6 1/0 24/13 0/1 1/0 13/7 1/2 1/1 2/1 1/2 1/0 19/9 5/8 2/3 17/8 3/4 15/7 1/1 13/6 1/0 24/11 1/1 3/2 11/5 1/1 1/0 9/4 1/4 34/15 3/8 2/5 25/11 3/8 1/2 16/7 4/9 1/2 23/10 1/2 7/3 1/2 3/5 26/11 5/8 2/3 71/30 37/56 116/49 2/3 45/19 2/3 23/34 19/8 3/4 69/29 3/7 1/2 50/21 3/5 5/8 31/13 2/3 12/5 3/4 4/5 5/2 1/0 18/7 2/3 3/4 67/26 5/8 49/19 2/3 15/22 80/31 7/10 3/4 31/12 3/4 13/5 1/2 3/4 60/23 26/35 3/4 47/18 3/4 81/31 17/22 7/9 34/13 11/14 4/5 21/8 3/4 8/3 1/1 27/10 5/4 73/27 25/17 3/2 265/98 3/2 192/71 3/2 62/41 119/44 37/24 46/17 3/2 7/4 19/7 3/2 2/1 49/18 1/0 128/47 2/1 5/2 79/29 7/2 1/0 30/11 -2/1 1/0 41/15 1/2 1/1 11/4 1/0 36/13 0/1 1/0 97/35 0/1 61/22 1/4 25/9 1/2 1/1 14/5 0/1 1/2 31/11 1/2 3/4 17/6 3/4 20/7 3/4 5/6 23/8 15/16 3/1 1/1 1/0 13/4 1/0 36/11 0/1 1/2 23/7 1/2 1/0 33/10 3/4 10/3 0/1 1/2 27/8 13/16 98/29 11/13 17/20 71/21 6/7 19/22 44/13 7/8 9/10 17/5 1/1 41/12 5/4 24/7 1/1 3/2 7/2 1/0 25/7 1/3 1/2 43/12 1/2 18/5 1/2 2/3 29/8 3/4 11/3 5/6 1/1 26/7 1/1 41/11 1/1 23/22 15/4 9/8 34/9 7/6 6/5 19/5 5/4 3/2 23/6 11/8 27/7 3/2 17/11 4/1 1/1 1/0 21/5 11/6 2/1 17/4 1/0 13/3 3/1 1/0 9/2 1/0 14/3 0/1 1/0 33/7 -1/2 0/1 19/4 1/0 24/5 -1/4 0/1 5/1 1/2 1/0 16/3 0/1 1/2 27/5 1/2 1/1 11/2 3/4 28/5 1/1 45/8 17/16 17/3 1/1 7/6 23/4 5/4 29/5 3/2 11/7 6/1 1/1 3/2 25/4 7/4 19/3 2/1 13/2 1/0 33/5 7/4 2/1 20/3 2/1 5/2 27/4 23/8 7/1 5/1 1/0 8/1 -1/2 1/0 9/1 1/2 1/1 10/1 1/1 11/1 3/2 1/0 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(675,313,248,115) (-1/2,-6/13) -> (19/7,49/18) Hyperbolic Matrix(243,112,614,283) (-6/13,-17/37) -> (13/33,2/5) Hyperbolic Matrix(2073,952,368,169) (-17/37,-11/24) -> (45/8,17/3) Hyperbolic Matrix(607,278,976,447) (-11/24,-5/11) -> (23/37,5/8) Hyperbolic Matrix(781,353,604,273) (-5/11,-9/20) -> (31/24,22/17) Hyperbolic Matrix(1079,484,836,375) (-9/20,-13/29) -> (9/7,31/24) Hyperbolic Matrix(1555,696,954,427) (-13/29,-4/9) -> (44/27,31/19) Hyperbolic Matrix(767,339,948,419) (-4/9,-15/34) -> (21/26,17/21) Hyperbolic Matrix(1769,780,474,209) (-15/34,-11/25) -> (41/11,15/4) Hyperbolic Matrix(2769,1217,-6596,-2899) (-11/25,-29/66) -> (-21/50,-34/81) Hyperbolic Matrix(649,285,-2826,-1241) (-29/66,-18/41) -> (-3/13,-11/48) Hyperbolic Matrix(589,258,468,205) (-18/41,-7/16) -> (5/4,24/19) Hyperbolic Matrix(291,127,236,103) (-7/16,-3/7) -> (16/13,5/4) Hyperbolic Matrix(285,121,1034,439) (-3/7,-11/26) -> (11/40,8/29) Hyperbolic Matrix(741,313,116,49) (-11/26,-8/19) -> (19/3,13/2) Hyperbolic Matrix(1425,599,226,95) (-8/19,-21/50) -> (25/4,19/3) Hyperbolic Matrix(4665,1958,2728,1145) (-34/81,-13/31) -> (53/31,12/7) Hyperbolic Matrix(1531,641,910,381) (-13/31,-18/43) -> (5/3,32/19) Hyperbolic Matrix(1587,664,1250,523) (-18/43,-5/12) -> (33/26,14/11) Hyperbolic Matrix(171,71,-566,-235) (-5/12,-12/29) -> (-7/23,-3/10) Hyperbolic Matrix(283,117,1236,511) (-12/29,-7/17) -> (8/35,3/13) Hyperbolic Matrix(505,207,222,91) (-7/17,-2/5) -> (25/11,16/7) Hyperbolic Matrix(709,279,216,85) (-2/5,-9/23) -> (36/11,23/7) Hyperbolic Matrix(377,147,-972,-379) (-9/23,-7/18) -> (-7/18,-12/31) Parabolic Matrix(5061,1958,1936,749) (-12/31,-29/75) -> (81/31,34/13) Hyperbolic Matrix(1397,540,3552,1373) (-29/75,-17/44) -> (11/28,13/33) Hyperbolic Matrix(1663,641,646,249) (-17/44,-5/13) -> (18/7,67/26) Hyperbolic Matrix(269,103,854,327) (-5/13,-13/34) -> (5/16,6/19) Hyperbolic Matrix(6995,2673,4488,1715) (-13/34,-34/89) -> (67/43,53/34) Hyperbolic Matrix(6833,2610,4914,1877) (-34/89,-21/55) -> (57/41,32/23) Hyperbolic Matrix(959,366,2670,1019) (-21/55,-8/21) -> (14/39,9/25) Hyperbolic Matrix(907,345,744,283) (-8/21,-11/29) -> (28/23,11/9) Hyperbolic Matrix(533,202,-2446,-927) (-11/29,-14/37) -> (-12/55,-5/23) Hyperbolic Matrix(2121,802,320,121) (-14/37,-17/45) -> (33/5,20/3) Hyperbolic Matrix(1801,680,1168,441) (-17/45,-3/8) -> (37/24,17/11) Hyperbolic Matrix(51,19,212,79) (-3/8,-7/19) -> (4/17,1/4) Hyperbolic Matrix(571,209,418,153) (-7/19,-4/11) -> (15/11,26/19) Hyperbolic Matrix(979,353,208,75) (-4/11,-9/25) -> (14/3,33/7) Hyperbolic Matrix(53,19,410,147) (-9/25,-5/14) -> (1/8,2/15) Hyperbolic Matrix(357,127,104,37) (-5/14,-1/3) -> (24/7,7/2) Hyperbolic Matrix(537,173,388,125) (-1/3,-6/19) -> (65/47,18/13) Hyperbolic Matrix(239,75,-768,-241) (-6/19,-5/16) -> (-5/16,-9/29) Parabolic Matrix(1627,504,1146,355) (-9/29,-4/13) -> (44/31,27/19) Hyperbolic Matrix(667,204,1710,523) (-4/13,-11/36) -> (7/18,16/41) Hyperbolic Matrix(141,43,1046,319) (-11/36,-7/23) -> (2/15,3/22) Hyperbolic Matrix(281,84,378,113) (-3/10,-11/37) -> (17/23,3/4) Hyperbolic Matrix(1359,403,752,223) (-11/37,-8/27) -> (9/5,38/21) Hyperbolic Matrix(517,153,936,277) (-8/27,-5/17) -> (16/29,5/9) Hyperbolic Matrix(2379,697,3362,985) (-5/17,-12/41) -> (29/41,46/65) Hyperbolic Matrix(1027,300,558,163) (-12/41,-7/24) -> (11/6,24/13) Hyperbolic Matrix(1211,352,836,243) (-7/24,-9/31) -> (13/9,29/20) Hyperbolic Matrix(1767,512,742,215) (-9/31,-2/7) -> (50/21,31/13) Hyperbolic Matrix(415,117,642,181) (-2/7,-7/25) -> (20/31,11/17) Hyperbolic Matrix(1833,512,1006,281) (-7/25,-12/43) -> (20/11,31/17) Hyperbolic Matrix(2195,612,642,179) (-12/43,-5/18) -> (41/12,24/7) Hyperbolic Matrix(1003,278,184,51) (-5/18,-13/47) -> (27/5,11/2) Hyperbolic Matrix(1047,289,1460,403) (-13/47,-8/29) -> (5/7,28/39) Hyperbolic Matrix(821,226,1820,501) (-8/29,-11/40) -> (9/20,14/31) Hyperbolic Matrix(317,87,1002,275) (-11/40,-3/11) -> (6/19,7/22) Hyperbolic Matrix(137,37,722,195) (-3/11,-7/26) -> (3/16,4/21) Hyperbolic Matrix(585,157,272,73) (-7/26,-4/15) -> (15/7,13/6) Hyperbolic Matrix(765,203,358,95) (-4/15,-9/34) -> (17/8,15/7) Hyperbolic Matrix(1391,367,2240,591) (-9/34,-5/19) -> (18/29,41/66) Hyperbolic Matrix(583,153,804,211) (-5/19,-1/4) -> (29/40,8/11) Hyperbolic Matrix(737,175,518,123) (-1/4,-4/17) -> (27/19,37/26) Hyperbolic Matrix(861,202,260,61) (-4/17,-7/30) -> (33/10,10/3) Hyperbolic Matrix(601,140,1378,321) (-7/30,-3/13) -> (17/39,7/16) Hyperbolic Matrix(1967,450,3510,803) (-11/48,-8/35) -> (14/25,37/66) Hyperbolic Matrix(1367,312,942,215) (-8/35,-5/22) -> (29/20,16/11) Hyperbolic Matrix(639,145,1538,349) (-5/22,-7/31) -> (22/53,5/12) Hyperbolic Matrix(2597,585,768,173) (-7/31,-2/9) -> (71/21,44/13) Hyperbolic Matrix(931,204,1182,259) (-2/9,-7/32) -> (11/14,26/33) Hyperbolic Matrix(1519,332,2704,591) (-7/32,-12/55) -> (32/57,9/16) Hyperbolic Matrix(125,27,-588,-127) (-5/23,-3/14) -> (-3/14,-4/19) Parabolic Matrix(1751,366,1086,227) (-4/19,-5/24) -> (29/18,50/31) Hyperbolic Matrix(1209,251,1498,311) (-5/24,-6/29) -> (25/31,21/26) Hyperbolic Matrix(1411,290,832,171) (-6/29,-1/5) -> (39/23,56/33) Hyperbolic Matrix(533,103,326,63) (-1/5,-3/16) -> (49/30,18/11) Hyperbolic Matrix(1379,256,404,75) (-3/16,-5/27) -> (17/5,41/12) Hyperbolic Matrix(1375,254,406,75) (-5/27,-2/11) -> (44/13,17/5) Hyperbolic Matrix(41,7,158,27) (-2/11,-1/6) -> (1/4,5/19) Hyperbolic Matrix(117,19,80,13) (-1/6,-1/7) -> (16/11,3/2) Hyperbolic Matrix(269,37,458,63) (-1/7,-1/8) -> (27/46,10/17) Hyperbolic Matrix(185,19,146,15) (-1/8,0/1) -> (19/15,33/26) Hyperbolic Matrix(207,-25,58,-7) (0/1,1/8) -> (7/2,25/7) Hyperbolic Matrix(1481,-203,1160,-159) (3/22,1/7) -> (60/47,23/18) Hyperbolic Matrix(143,-23,56,-9) (1/7,1/6) -> (5/2,18/7) Hyperbolic Matrix(561,-98,956,-167) (1/6,3/17) -> (17/29,27/46) Hyperbolic Matrix(141,-25,784,-139) (3/17,5/28) -> (5/28,2/11) Parabolic Matrix(279,-52,778,-145) (2/11,3/16) -> (5/14,14/39) Hyperbolic Matrix(749,-143,110,-21) (4/21,5/26) -> (27/4,7/1) Hyperbolic Matrix(635,-123,222,-43) (5/26,1/5) -> (20/7,23/8) Hyperbolic Matrix(137,-29,326,-69) (1/5,3/14) -> (5/12,8/19) Hyperbolic Matrix(189,-41,272,-59) (3/14,2/9) -> (9/13,7/10) Hyperbolic Matrix(297,-67,430,-97) (2/9,5/22) -> (11/16,9/13) Hyperbolic Matrix(1827,-416,1076,-245) (5/22,8/35) -> (56/33,17/10) Hyperbolic Matrix(267,-62,590,-137) (3/13,4/17) -> (14/31,5/11) Hyperbolic Matrix(731,-194,260,-69) (5/19,4/15) -> (14/5,31/11) Hyperbolic Matrix(183,-49,676,-181) (4/15,7/26) -> (7/26,3/11) Parabolic Matrix(1061,-291,1710,-469) (3/11,11/40) -> (31/50,18/29) Hyperbolic Matrix(983,-272,206,-57) (8/29,5/18) -> (19/4,24/5) Hyperbolic Matrix(1753,-490,1084,-303) (5/18,7/25) -> (21/13,55/34) Hyperbolic Matrix(463,-130,1186,-333) (7/25,2/7) -> (16/41,9/23) Hyperbolic Matrix(231,-67,562,-163) (2/7,7/24) -> (9/22,7/17) Hyperbolic Matrix(433,-127,358,-105) (7/24,5/17) -> (6/5,17/14) Hyperbolic Matrix(179,-53,152,-45) (5/17,3/10) -> (7/6,6/5) Hyperbolic Matrix(227,-69,102,-31) (3/10,4/13) -> (11/5,9/4) Hyperbolic Matrix(429,-133,100,-31) (4/13,5/16) -> (17/4,13/3) Hyperbolic Matrix(1477,-471,900,-287) (7/22,1/3) -> (64/39,23/14) Hyperbolic Matrix(463,-163,196,-69) (1/3,6/17) -> (7/3,26/11) Hyperbolic Matrix(731,-260,194,-69) (6/17,5/14) -> (15/4,34/9) Hyperbolic Matrix(2425,-874,874,-315) (9/25,13/36) -> (61/22,25/9) Hyperbolic Matrix(1237,-447,678,-245) (13/36,4/11) -> (31/17,11/6) Hyperbolic Matrix(73,-27,192,-71) (4/11,3/8) -> (3/8,5/13) Parabolic Matrix(523,-202,334,-129) (5/13,7/18) -> (25/16,11/7) Hyperbolic Matrix(2369,-930,996,-391) (9/23,11/28) -> (19/8,69/29) Hyperbolic Matrix(587,-239,140,-57) (2/5,11/27) -> (4/1,21/5) Hyperbolic Matrix(985,-402,468,-191) (11/27,20/49) -> (2/1,19/9) Hyperbolic Matrix(6843,-2794,2530,-1033) (20/49,9/22) -> (119/44,46/17) Hyperbolic Matrix(351,-145,46,-19) (7/17,12/29) -> (7/1,8/1) Hyperbolic Matrix(2031,-841,4900,-2029) (12/29,29/70) -> (29/70,17/41) Parabolic Matrix(4829,-2003,1772,-735) (17/41,22/53) -> (79/29,30/11) Hyperbolic Matrix(3621,-1528,2320,-979) (8/19,19/45) -> (39/25,64/41) Hyperbolic Matrix(5685,-2401,13456,-5683) (19/45,49/116) -> (49/116,30/71) Parabolic Matrix(3225,-1363,5752,-2431) (30/71,11/26) -> (37/66,23/41) Hyperbolic Matrix(671,-285,186,-79) (11/26,3/7) -> (18/5,29/8) Hyperbolic Matrix(461,-200,1058,-459) (3/7,10/23) -> (10/23,17/39) Parabolic Matrix(1307,-573,276,-121) (7/16,18/41) -> (33/7,19/4) Hyperbolic Matrix(2361,-1037,872,-383) (18/41,11/25) -> (46/17,19/7) Hyperbolic Matrix(343,-151,184,-81) (11/25,4/9) -> (13/7,2/1) Hyperbolic Matrix(297,-133,364,-163) (4/9,9/20) -> (13/16,9/11) Hyperbolic Matrix(23,-11,44,-21) (5/11,1/2) -> (1/2,6/11) Parabolic Matrix(2003,-1098,768,-421) (6/11,17/31) -> (13/5,60/23) Hyperbolic Matrix(1087,-597,894,-491) (17/31,11/20) -> (17/14,28/23) Hyperbolic Matrix(1233,-680,2000,-1103) (11/20,16/29) -> (8/13,37/60) Hyperbolic Matrix(445,-249,84,-47) (5/9,14/25) -> (5/1,16/3) Hyperbolic Matrix(3149,-1767,1734,-973) (23/41,32/57) -> (49/27,20/11) Hyperbolic Matrix(169,-96,294,-167) (9/16,4/7) -> (4/7,15/26) Parabolic Matrix(7783,-4494,4560,-2633) (15/26,41/71) -> (29/17,99/58) Hyperbolic Matrix(3367,-1945,2176,-1257) (41/71,26/45) -> (17/11,48/31) Hyperbolic Matrix(7487,-4328,2216,-1281) (26/45,37/64) -> (27/8,98/29) Hyperbolic Matrix(2133,-1234,1630,-943) (37/64,11/19) -> (17/13,55/42) Hyperbolic Matrix(1421,-824,626,-363) (11/19,18/31) -> (34/15,25/11) Hyperbolic Matrix(689,-401,500,-291) (18/31,7/12) -> (11/8,29/21) Hyperbolic Matrix(937,-549,582,-341) (7/12,17/29) -> (8/5,29/18) Hyperbolic Matrix(603,-355,124,-73) (10/17,23/39) -> (24/5,5/1) Hyperbolic Matrix(3237,-1910,1910,-1127) (23/39,13/22) -> (61/36,39/23) Hyperbolic Matrix(747,-442,1036,-613) (13/22,3/5) -> (31/43,13/18) Hyperbolic Matrix(205,-124,124,-75) (3/5,11/18) -> (23/14,5/3) Hyperbolic Matrix(347,-213,246,-151) (11/18,8/13) -> (7/5,17/12) Hyperbolic Matrix(2469,-1523,368,-227) (37/60,29/47) -> (20/3,27/4) Hyperbolic Matrix(2633,-1625,734,-453) (29/47,21/34) -> (43/12,18/5) Hyperbolic Matrix(1753,-1084,490,-303) (21/34,13/21) -> (25/7,43/12) Hyperbolic Matrix(897,-556,1018,-631) (13/21,31/50) -> (7/8,15/17) Hyperbolic Matrix(5149,-3199,3298,-2049) (41/66,23/37) -> (64/41,25/16) Hyperbolic Matrix(141,-89,122,-77) (5/8,12/19) -> (1/1,7/6) Hyperbolic Matrix(1475,-933,2022,-1279) (12/19,31/49) -> (8/11,27/37) Hyperbolic Matrix(1717,-1087,526,-333) (31/49,19/30) -> (13/4,36/11) Hyperbolic Matrix(9071,-5747,3272,-2073) (19/30,64/101) -> (97/35,61/22) Hyperbolic Matrix(10523,-6669,3798,-2407) (64/101,45/71) -> (36/13,97/35) Hyperbolic Matrix(1393,-883,1576,-999) (45/71,26/41) -> (15/17,8/9) Hyperbolic Matrix(2281,-1447,1414,-897) (26/41,7/11) -> (50/31,21/13) Hyperbolic Matrix(523,-334,202,-129) (7/11,9/14) -> (31/12,13/5) Hyperbolic Matrix(1285,-828,762,-491) (9/14,20/31) -> (32/19,27/16) Hyperbolic Matrix(261,-169,400,-259) (11/17,13/20) -> (13/20,2/3) Parabolic Matrix(157,-106,40,-27) (2/3,13/19) -> (27/7,4/1) Hyperbolic Matrix(901,-618,156,-107) (13/19,11/16) -> (23/4,29/5) Hyperbolic Matrix(251,-177,78,-55) (7/10,12/17) -> (3/1,13/4) Hyperbolic Matrix(2379,-1681,3364,-2377) (12/17,41/58) -> (41/58,29/41) Parabolic Matrix(8115,-5744,4754,-3365) (46/65,17/24) -> (99/58,70/41) Hyperbolic Matrix(733,-520,850,-603) (17/24,22/31) -> (6/7,19/22) Hyperbolic Matrix(4535,-3221,1736,-1233) (22/31,27/38) -> (47/18,81/31) Hyperbolic Matrix(425,-302,38,-27) (27/38,5/7) -> (11/1,1/0) Hyperbolic Matrix(2285,-1641,1806,-1297) (28/39,23/32) -> (43/34,19/15) Hyperbolic Matrix(1843,-1326,1458,-1049) (23/32,18/25) -> (24/19,43/34) Hyperbolic Matrix(2513,-1811,920,-663) (18/25,31/43) -> (30/11,41/15) Hyperbolic Matrix(1091,-789,690,-499) (13/18,21/29) -> (30/19,19/12) Hyperbolic Matrix(1473,-1067,1034,-749) (21/29,29/40) -> (37/26,10/7) Hyperbolic Matrix(2975,-2172,1908,-1393) (27/37,19/26) -> (53/34,39/25) Hyperbolic Matrix(801,-586,190,-139) (19/26,11/15) -> (21/5,17/4) Hyperbolic Matrix(533,-392,722,-531) (11/15,14/19) -> (14/19,17/23) Parabolic Matrix(93,-71,38,-29) (3/4,7/9) -> (12/5,5/2) Hyperbolic Matrix(333,-260,260,-203) (7/9,11/14) -> (23/18,9/7) Hyperbolic Matrix(1071,-844,184,-145) (26/33,15/19) -> (29/5,6/1) Hyperbolic Matrix(1843,-1458,1326,-1049) (15/19,19/24) -> (25/18,57/41) Hyperbolic Matrix(829,-657,294,-233) (19/24,4/5) -> (31/11,17/6) Hyperbolic Matrix(3089,-2487,1134,-913) (4/5,25/31) -> (128/47,79/29) Hyperbolic Matrix(3299,-2673,1386,-1123) (17/21,30/37) -> (69/29,50/21) Hyperbolic Matrix(2167,-1759,802,-651) (30/37,13/16) -> (27/10,73/27) Hyperbolic Matrix(91,-75,108,-89) (9/11,5/6) -> (5/6,6/7) Parabolic Matrix(673,-582,318,-275) (19/22,13/15) -> (19/9,17/8) Hyperbolic Matrix(459,-400,70,-61) (13/15,7/8) -> (13/2,33/5) Hyperbolic Matrix(227,-203,104,-93) (8/9,1/1) -> (24/11,11/5) Hyperbolic Matrix(385,-472,208,-255) (11/9,16/13) -> (24/13,13/7) Hyperbolic Matrix(2147,-2738,1682,-2145) (14/11,37/29) -> (37/29,60/47) Parabolic Matrix(489,-634,172,-223) (22/17,13/10) -> (17/6,20/7) Hyperbolic Matrix(659,-860,200,-261) (13/10,17/13) -> (23/7,33/10) Hyperbolic Matrix(11515,-15082,4258,-5577) (55/42,38/29) -> (192/71,119/44) Hyperbolic Matrix(1099,-1441,286,-375) (38/29,21/16) -> (23/6,27/7) Hyperbolic Matrix(171,-226,28,-37) (21/16,4/3) -> (6/1,25/4) Hyperbolic Matrix(267,-361,196,-265) (4/3,19/14) -> (19/14,15/11) Parabolic Matrix(3091,-4234,1198,-1641) (26/19,37/27) -> (49/19,80/31) Hyperbolic Matrix(543,-745,250,-343) (37/27,11/8) -> (13/6,24/11) Hyperbolic Matrix(1455,-2011,526,-727) (29/21,47/34) -> (11/4,36/13) Hyperbolic Matrix(3089,-4271,1994,-2757) (47/34,65/47) -> (48/31,31/20) Hyperbolic Matrix(747,-1036,442,-613) (18/13,25/18) -> (27/16,22/13) Hyperbolic Matrix(3739,-5205,2400,-3341) (32/23,71/51) -> (14/9,67/43) Hyperbolic Matrix(6083,-8471,2234,-3111) (71/51,39/28) -> (49/18,128/47) Hyperbolic Matrix(2165,-3017,1268,-1767) (39/28,7/5) -> (70/41,41/24) Hyperbolic Matrix(941,-1335,246,-349) (17/12,44/31) -> (19/5,23/6) Hyperbolic Matrix(325,-466,136,-195) (10/7,13/9) -> (31/13,12/5) Hyperbolic Matrix(521,-800,338,-519) (3/2,20/13) -> (20/13,37/24) Parabolic Matrix(919,-1425,336,-521) (31/20,14/9) -> (41/15,11/4) Hyperbolic Matrix(1665,-2624,974,-1535) (11/7,41/26) -> (41/24,53/31) Hyperbolic Matrix(3675,-5797,1408,-2221) (41/26,71/45) -> (60/23,47/18) Hyperbolic Matrix(6465,-10201,4096,-6463) (71/45,101/64) -> (101/64,30/19) Parabolic Matrix(255,-406,76,-121) (19/12,8/5) -> (10/3,27/8) Hyperbolic Matrix(4425,-7159,1714,-2773) (55/34,89/55) -> (80/31,31/12) Hyperbolic Matrix(781,-1264,76,-123) (89/55,34/21) -> (10/1,11/1) Hyperbolic Matrix(479,-776,50,-81) (34/21,47/29) -> (9/1,10/1) Hyperbolic Matrix(1233,-2000,680,-1103) (47/29,13/8) -> (29/16,49/27) Hyperbolic Matrix(1319,-2147,728,-1185) (13/8,57/35) -> (38/21,29/16) Hyperbolic Matrix(5347,-8710,1582,-2577) (57/35,44/27) -> (98/29,71/21) Hyperbolic Matrix(1191,-1945,526,-859) (31/19,49/30) -> (9/4,34/15) Hyperbolic Matrix(2051,-3362,1250,-2049) (18/11,41/25) -> (41/25,64/39) Parabolic Matrix(3713,-6287,1568,-2655) (22/13,83/49) -> (116/49,45/19) Hyperbolic Matrix(7655,-12969,3234,-5479) (83/49,61/36) -> (71/30,116/49) Hyperbolic Matrix(561,-956,98,-167) (17/10,29/17) -> (17/3,23/4) Hyperbolic Matrix(85,-147,48,-83) (12/7,7/4) -> (7/4,9/5) Parabolic Matrix(231,-529,100,-229) (16/7,23/10) -> (23/10,7/3) Parabolic Matrix(343,-811,118,-279) (26/11,71/30) -> (23/8,3/1) Hyperbolic Matrix(1665,-3946,646,-1531) (45/19,19/8) -> (67/26,49/19) Hyperbolic Matrix(465,-1217,128,-335) (34/13,21/8) -> (29/8,11/3) Hyperbolic Matrix(145,-384,54,-143) (21/8,8/3) -> (8/3,27/10) Parabolic Matrix(25971,-70225,9604,-25969) (73/27,265/98) -> (265/98,192/71) Parabolic Matrix(279,-778,52,-145) (25/9,14/5) -> (16/3,27/5) Hyperbolic Matrix(365,-1352,98,-363) (11/3,26/7) -> (26/7,41/11) Parabolic Matrix(117,-443,14,-53) (34/9,19/5) -> (8/1,9/1) Hyperbolic Matrix(55,-243,12,-53) (13/3,9/2) -> (9/2,14/3) Parabolic Matrix(281,-1568,50,-279) (11/2,28/5) -> (28/5,45/8) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(675,313,248,115) -> Matrix(11,-3,4,-1) Matrix(243,112,614,283) -> Matrix(7,-2,4,-1) Matrix(2073,952,368,169) -> Matrix(43,-14,40,-13) Matrix(607,278,976,447) -> Matrix(5,-2,8,-3) Matrix(781,353,604,273) -> Matrix(5,-1,16,-3) Matrix(1079,484,836,375) -> Matrix(7,-2,32,-9) Matrix(1555,696,954,427) -> Matrix(7,-2,4,-1) Matrix(767,339,948,419) -> Matrix(3,-1,16,-5) Matrix(1769,780,474,209) -> Matrix(55,-18,52,-17) Matrix(2769,1217,-6596,-2899) -> Matrix(23,-9,64,-25) Matrix(649,285,-2826,-1241) -> Matrix(3,-1,4,-1) Matrix(589,258,468,205) -> Matrix(1,0,0,1) Matrix(291,127,236,103) -> Matrix(3,-1,16,-5) Matrix(285,121,1034,439) -> Matrix(7,-3,12,-5) Matrix(741,313,116,49) -> Matrix(11,-3,4,-1) Matrix(1425,599,226,95) -> Matrix(37,-13,20,-7) Matrix(4665,1958,2728,1145) -> Matrix(49,-18,128,-47) Matrix(1531,641,910,381) -> Matrix(3,-1,4,-1) Matrix(1587,664,1250,523) -> Matrix(5,-2,8,-3) Matrix(171,71,-566,-235) -> Matrix(3,-1,4,-1) Matrix(283,117,1236,511) -> Matrix(13,-5,8,-3) Matrix(505,207,222,91) -> Matrix(1,-1,4,-3) Matrix(709,279,216,85) -> Matrix(3,-1,4,-1) Matrix(377,147,-972,-379) -> Matrix(7,-3,12,-5) Matrix(5061,1958,1936,749) -> Matrix(25,-18,32,-23) Matrix(1397,540,3552,1373) -> Matrix(1,0,0,1) Matrix(1663,641,646,249) -> Matrix(3,-1,4,-1) Matrix(269,103,854,327) -> Matrix(7,-1,8,-1) Matrix(6995,2673,4488,1715) -> Matrix(3,-1,16,-5) Matrix(6833,2610,4914,1877) -> Matrix(5,-2,8,-3) Matrix(959,366,2670,1019) -> Matrix(7,-2,4,-1) Matrix(907,345,744,283) -> Matrix(1,-1,8,-7) Matrix(533,202,-2446,-927) -> Matrix(1,0,4,1) Matrix(2121,802,320,121) -> Matrix(9,2,4,1) Matrix(1801,680,1168,441) -> Matrix(1,0,20,1) Matrix(51,19,212,79) -> Matrix(3,-1,4,-1) Matrix(571,209,418,153) -> Matrix(7,-3,12,-5) Matrix(979,353,208,75) -> Matrix(1,-1,0,1) Matrix(53,19,410,147) -> Matrix(3,-1,4,-1) Matrix(357,127,104,37) -> Matrix(1,1,0,1) Matrix(537,173,388,125) -> Matrix(7,-1,8,-1) Matrix(239,75,-768,-241) -> Matrix(5,-1,16,-3) Matrix(1627,504,1146,355) -> Matrix(7,-2,4,-1) Matrix(667,204,1710,523) -> Matrix(1,0,0,1) Matrix(141,43,1046,319) -> Matrix(7,-1,8,-1) Matrix(281,84,378,113) -> Matrix(1,0,4,1) Matrix(1359,403,752,223) -> Matrix(11,-1,12,-1) Matrix(517,153,936,277) -> Matrix(9,-1,-8,1) Matrix(2379,697,3362,985) -> Matrix(5,-1,-4,1) Matrix(1027,300,558,163) -> Matrix(1,0,-4,1) Matrix(1211,352,836,243) -> Matrix(1,0,0,1) Matrix(1767,512,742,215) -> Matrix(13,-2,20,-3) Matrix(415,117,642,181) -> Matrix(19,-5,4,-1) Matrix(1833,512,1006,281) -> Matrix(7,-2,4,-1) Matrix(2195,612,642,179) -> Matrix(19,-6,16,-5) Matrix(1003,278,184,51) -> Matrix(5,-2,8,-3) Matrix(1047,289,1460,403) -> Matrix(1,-1,0,1) Matrix(821,226,1820,501) -> Matrix(1,2,0,1) Matrix(317,87,1002,275) -> Matrix(11,-1,12,-1) Matrix(137,37,722,195) -> Matrix(7,-3,12,-5) Matrix(585,157,272,73) -> Matrix(3,-1,4,-1) Matrix(765,203,358,95) -> Matrix(7,-1,8,-1) Matrix(1391,367,2240,591) -> Matrix(7,-1,8,-1) Matrix(583,153,804,211) -> Matrix(5,-1,-24,5) Matrix(737,175,518,123) -> Matrix(11,-3,4,-1) Matrix(861,202,260,61) -> Matrix(7,-2,4,-1) Matrix(601,140,1378,321) -> Matrix(31,-10,28,-9) Matrix(1967,450,3510,803) -> Matrix(1,0,-4,1) Matrix(1367,312,942,215) -> Matrix(1,0,0,1) Matrix(639,145,1538,349) -> Matrix(5,-1,-4,1) Matrix(2597,585,768,173) -> Matrix(45,-13,52,-15) Matrix(931,204,1182,259) -> Matrix(1,0,0,1) Matrix(1519,332,2704,591) -> Matrix(1,0,-4,1) Matrix(125,27,-588,-127) -> Matrix(5,-1,16,-3) Matrix(1751,366,1086,227) -> Matrix(7,-2,4,-1) Matrix(1209,251,1498,311) -> Matrix(3,-1,4,-1) Matrix(1411,290,832,171) -> Matrix(25,-8,72,-23) Matrix(533,103,326,63) -> Matrix(3,-1,-8,3) Matrix(1379,256,404,75) -> Matrix(19,-6,16,-5) Matrix(1375,254,406,75) -> Matrix(29,-10,32,-11) Matrix(41,7,158,27) -> Matrix(3,-1,4,-1) Matrix(117,19,80,13) -> Matrix(3,-1,4,-1) Matrix(269,37,458,63) -> Matrix(7,-3,12,-5) Matrix(185,19,146,15) -> Matrix(3,-1,4,-1) Matrix(207,-25,58,-7) -> Matrix(1,-1,4,-3) Matrix(1481,-203,1160,-159) -> Matrix(1,-1,16,-15) Matrix(143,-23,56,-9) -> Matrix(3,-1,4,-1) Matrix(561,-98,956,-167) -> Matrix(9,-4,16,-7) Matrix(141,-25,784,-139) -> Matrix(27,-13,52,-25) Matrix(279,-52,778,-145) -> Matrix(17,-10,12,-7) Matrix(749,-143,110,-21) -> Matrix(27,-17,8,-5) Matrix(635,-123,222,-43) -> Matrix(13,-9,16,-11) Matrix(137,-29,326,-69) -> Matrix(1,-1,4,-3) Matrix(189,-41,272,-59) -> Matrix(1,-1,4,-3) Matrix(297,-67,430,-97) -> Matrix(1,-1,-4,5) Matrix(1827,-416,1076,-245) -> Matrix(3,-2,8,-5) Matrix(267,-62,590,-137) -> Matrix(1,2,0,1) Matrix(731,-194,260,-69) -> Matrix(5,-2,8,-3) Matrix(183,-49,676,-181) -> Matrix(11,-5,20,-9) Matrix(1061,-291,1710,-469) -> Matrix(1,-1,4,-3) Matrix(983,-272,206,-57) -> Matrix(3,-2,-4,3) Matrix(1753,-490,1084,-303) -> Matrix(1,0,0,1) Matrix(463,-130,1186,-333) -> Matrix(3,-2,8,-5) Matrix(231,-67,562,-163) -> Matrix(9,-7,4,-3) Matrix(433,-127,358,-105) -> Matrix(1,-1,16,-15) Matrix(179,-53,152,-45) -> Matrix(1,-1,0,1) Matrix(227,-69,102,-31) -> Matrix(1,-1,4,-3) Matrix(429,-133,100,-31) -> Matrix(9,-7,4,-3) Matrix(1477,-471,900,-287) -> Matrix(1,-1,28,-27) Matrix(463,-163,196,-69) -> Matrix(5,-7,8,-11) Matrix(731,-260,194,-69) -> Matrix(5,-4,4,-3) Matrix(2425,-874,874,-315) -> Matrix(1,-2,4,-7) Matrix(1237,-447,678,-245) -> Matrix(1,-1,0,1) Matrix(73,-27,192,-71) -> Matrix(1,-1,0,1) Matrix(523,-202,334,-129) -> Matrix(1,0,4,1) Matrix(2369,-930,996,-391) -> Matrix(1,0,0,1) Matrix(587,-239,140,-57) -> Matrix(7,-9,4,-5) Matrix(985,-402,468,-191) -> Matrix(7,-10,12,-17) Matrix(6843,-2794,2530,-1033) -> Matrix(25,-36,16,-23) Matrix(351,-145,46,-19) -> Matrix(1,-3,0,1) Matrix(2031,-841,4900,-2029) -> Matrix(1,-17,0,1) Matrix(4829,-2003,1772,-735) -> Matrix(1,7,0,1) Matrix(3621,-1528,2320,-979) -> Matrix(1,0,4,1) Matrix(5685,-2401,13456,-5683) -> Matrix(3,-1,4,-1) Matrix(3225,-1363,5752,-2431) -> Matrix(1,-1,0,1) Matrix(671,-285,186,-79) -> Matrix(3,-1,4,-1) Matrix(461,-200,1058,-459) -> Matrix(13,-12,12,-11) Matrix(1307,-573,276,-121) -> Matrix(1,-1,-4,5) Matrix(2361,-1037,872,-383) -> Matrix(7,-9,4,-5) Matrix(343,-151,184,-81) -> Matrix(1,-1,0,1) Matrix(297,-133,364,-163) -> Matrix(1,-1,0,1) Matrix(23,-11,44,-21) -> Matrix(1,-1,0,1) Matrix(2003,-1098,768,-421) -> Matrix(3,14,4,19) Matrix(1087,-597,894,-491) -> Matrix(1,3,8,25) Matrix(1233,-680,2000,-1103) -> Matrix(3,4,8,11) Matrix(445,-249,84,-47) -> Matrix(1,1,0,1) Matrix(3149,-1767,1734,-973) -> Matrix(1,1,0,1) Matrix(169,-96,294,-167) -> Matrix(1,0,4,1) Matrix(7783,-4494,4560,-2633) -> Matrix(13,-4,36,-11) Matrix(3367,-1945,2176,-1257) -> Matrix(3,-1,28,-9) Matrix(7487,-4328,2216,-1281) -> Matrix(37,-16,44,-19) Matrix(2133,-1234,1630,-943) -> Matrix(3,-2,8,-5) Matrix(1421,-824,626,-363) -> Matrix(3,-2,8,-5) Matrix(689,-401,500,-291) -> Matrix(3,-1,4,-1) Matrix(937,-549,582,-341) -> Matrix(3,-1,4,-1) Matrix(603,-355,124,-73) -> Matrix(1,-1,4,-3) Matrix(3237,-1910,1910,-1127) -> Matrix(15,-14,44,-41) Matrix(747,-442,1036,-613) -> Matrix(3,-4,-8,11) Matrix(205,-124,124,-75) -> Matrix(1,0,4,1) Matrix(347,-213,246,-151) -> Matrix(3,-1,4,-1) Matrix(2469,-1523,368,-227) -> Matrix(31,-13,12,-5) Matrix(2633,-1625,734,-453) -> Matrix(11,-5,20,-9) Matrix(1753,-1084,490,-303) -> Matrix(3,-2,8,-5) Matrix(897,-556,1018,-631) -> Matrix(3,-2,-4,3) Matrix(5149,-3199,3298,-2049) -> Matrix(1,-1,8,-7) Matrix(141,-89,122,-77) -> Matrix(1,-1,0,1) Matrix(1475,-933,2022,-1279) -> Matrix(1,-1,-8,9) Matrix(1717,-1087,526,-333) -> Matrix(1,-1,0,1) Matrix(9071,-5747,3272,-2073) -> Matrix(1,-1,4,-3) Matrix(10523,-6669,3798,-2407) -> Matrix(1,-1,-4,5) Matrix(1393,-883,1576,-999) -> Matrix(1,-1,-4,5) Matrix(2281,-1447,1414,-897) -> Matrix(1,-1,0,1) Matrix(523,-334,202,-129) -> Matrix(3,-4,4,-5) Matrix(1285,-828,762,-491) -> Matrix(1,-4,4,-15) Matrix(261,-169,400,-259) -> Matrix(1,-7,0,1) Matrix(157,-106,40,-27) -> Matrix(1,2,0,1) Matrix(901,-618,156,-107) -> Matrix(11,4,8,3) Matrix(251,-177,78,-55) -> Matrix(1,1,0,1) Matrix(2379,-1681,3364,-2377) -> Matrix(1,-1,0,1) Matrix(8115,-5744,4754,-3365) -> Matrix(3,4,8,11) Matrix(733,-520,850,-603) -> Matrix(1,0,0,1) Matrix(4535,-3221,1736,-1233) -> Matrix(3,-7,4,-9) Matrix(425,-302,38,-27) -> Matrix(1,2,0,1) Matrix(2285,-1641,1806,-1297) -> Matrix(5,3,8,5) Matrix(1843,-1326,1458,-1049) -> Matrix(9,4,20,9) Matrix(2513,-1811,920,-663) -> Matrix(3,1,8,3) Matrix(1091,-789,690,-499) -> Matrix(11,3,40,11) Matrix(1473,-1067,1034,-749) -> Matrix(13,3,4,1) Matrix(2975,-2172,1908,-1393) -> Matrix(1,0,12,1) Matrix(801,-586,190,-139) -> Matrix(17,2,8,1) Matrix(533,-392,722,-531) -> Matrix(1,0,36,1) Matrix(93,-71,38,-29) -> Matrix(3,-1,4,-1) Matrix(333,-260,260,-203) -> Matrix(1,0,4,1) Matrix(1071,-844,184,-145) -> Matrix(7,-2,4,-1) Matrix(1843,-1458,1326,-1049) -> Matrix(1,0,0,1) Matrix(829,-657,294,-233) -> Matrix(3,-1,4,-1) Matrix(3089,-2487,1134,-913) -> Matrix(1,3,0,1) Matrix(3299,-2673,1386,-1123) -> Matrix(7,-3,12,-5) Matrix(2167,-1759,802,-651) -> Matrix(11,-7,8,-5) Matrix(91,-75,108,-89) -> Matrix(1,-1,0,1) Matrix(673,-582,318,-275) -> Matrix(3,2,4,3) Matrix(459,-400,70,-61) -> Matrix(1,2,0,1) Matrix(227,-203,104,-93) -> Matrix(1,1,0,1) Matrix(385,-472,208,-255) -> Matrix(1,0,-4,1) Matrix(2147,-2738,1682,-2145) -> Matrix(1,0,16,1) Matrix(489,-634,172,-223) -> Matrix(5,-2,8,-3) Matrix(659,-860,200,-261) -> Matrix(5,-2,8,-3) Matrix(11515,-15082,4258,-5577) -> Matrix(79,-38,52,-25) Matrix(1099,-1441,286,-375) -> Matrix(11,-7,8,-5) Matrix(171,-226,28,-37) -> Matrix(7,-2,4,-1) Matrix(267,-361,196,-265) -> Matrix(11,-5,20,-9) Matrix(3091,-4234,1198,-1641) -> Matrix(25,-16,36,-23) Matrix(543,-745,250,-343) -> Matrix(1,-1,4,-3) Matrix(1455,-2011,526,-727) -> Matrix(1,-1,4,-3) Matrix(3089,-4271,1994,-2757) -> Matrix(1,-1,12,-11) Matrix(747,-1036,442,-613) -> Matrix(1,-2,4,-7) Matrix(3739,-5205,2400,-3341) -> Matrix(1,-1,4,-3) Matrix(6083,-8471,2234,-3111) -> Matrix(1,1,0,1) Matrix(2165,-3017,1268,-1767) -> Matrix(3,1,8,3) Matrix(941,-1335,246,-349) -> Matrix(5,-9,4,-7) Matrix(325,-466,136,-195) -> Matrix(3,2,4,3) Matrix(521,-800,338,-519) -> Matrix(1,0,24,1) Matrix(919,-1425,336,-521) -> Matrix(7,-1,8,-1) Matrix(1665,-2624,974,-1535) -> Matrix(35,-8,92,-21) Matrix(3675,-5797,1408,-2221) -> Matrix(103,-25,136,-33) Matrix(6465,-10201,4096,-6463) -> Matrix(101,-25,400,-99) Matrix(255,-406,76,-121) -> Matrix(5,-2,8,-3) Matrix(4425,-7159,1714,-2773) -> Matrix(11,-9,16,-13) Matrix(781,-1264,76,-123) -> Matrix(5,-4,4,-3) Matrix(479,-776,50,-81) -> Matrix(1,0,0,1) Matrix(1233,-2000,680,-1103) -> Matrix(1,0,0,1) Matrix(1319,-2147,728,-1185) -> Matrix(1,1,0,1) Matrix(5347,-8710,1582,-2577) -> Matrix(17,-6,20,-7) Matrix(1191,-1945,526,-859) -> Matrix(3,1,8,3) Matrix(2051,-3362,1250,-2049) -> Matrix(1,0,32,1) Matrix(3713,-6287,1568,-2655) -> Matrix(113,-37,168,-55) Matrix(7655,-12969,3234,-5479) -> Matrix(247,-83,372,-125) Matrix(561,-956,98,-167) -> Matrix(7,-2,4,-1) Matrix(85,-147,48,-83) -> Matrix(7,-3,12,-5) Matrix(231,-529,100,-229) -> Matrix(15,-7,28,-13) Matrix(343,-811,118,-279) -> Matrix(11,-7,8,-5) Matrix(1665,-3946,646,-1531) -> Matrix(23,-16,36,-25) Matrix(465,-1217,128,-335) -> Matrix(11,-9,16,-13) Matrix(145,-384,54,-143) -> Matrix(9,-8,8,-7) Matrix(25971,-70225,9604,-25969) -> Matrix(175,-261,116,-173) Matrix(279,-778,52,-145) -> Matrix(1,0,0,1) Matrix(365,-1352,98,-363) -> Matrix(29,-28,28,-27) Matrix(117,-443,14,-53) -> Matrix(1,-1,-4,5) Matrix(55,-243,12,-53) -> Matrix(1,-3,0,1) Matrix(281,-1568,50,-279) -> Matrix(21,-20,20,-19) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 80 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 0/1 2 1 0/1 (0/1,1/2) 0 33 1/7 (1/1,1/0) 0 33 1/6 1/4 1 33 5/28 1/2 13 1 2/11 (1/2,6/11) 0 33 1/5 0 11 3/14 3/4 1 33 2/9 1/1 4 3 1/4 1/0 1 33 7/26 1/2 5 1 3/11 (1/2,3/5) 0 33 5/18 3/4 1 33 7/25 (1/3,1/2) 0 33 2/7 0 11 7/24 17/20 1 33 5/17 1/1 8 3 3/10 1/0 1 33 4/13 (2/3,3/4) 0 33 1/3 (1/1,1/0) 0 33 6/17 (3/2,2/1) 0 33 5/14 5/4 1 33 9/25 (3/2,5/3) 0 33 4/11 0 11 3/8 1/0 1 3 5/13 0 11 7/18 1/0 1 33 9/23 (3/7,1/2) 0 33 11/28 3/4 1 11 2/5 (1/2,1/1) 0 33 11/27 (5/4,4/3) 0 33 9/22 13/8 1 33 7/17 0 11 12/29 (8/1,1/0) 0 33 29/70 1/0 17 1 5/12 1/0 1 33 8/19 0 11 19/45 (0/1,1/2) 0 33 49/116 1/2 1 1 11/26 1/0 1 33 3/7 (1/2,1/1) 0 33 10/23 1/1 6 1 7/16 5/4 1 33 11/25 0 11 4/9 (3/2,2/1) 0 33 5/11 (5/1,1/0) 0 33 1/2 1/0 1 11 6/11 (4/1,1/0) 0 33 5/9 (-1/1,-1/2) 0 33 14/25 0 11 23/41 (-1/2,0/1) 0 33 9/16 1/0 1 33 4/7 0/1 2 3 15/26 1/4 1 33 26/45 (1/3,3/8) 0 33 37/64 9/20 1 33 11/19 0 11 7/12 1/0 1 33 17/29 (3/7,1/2) 0 33 10/17 0 11 23/39 (7/8,1/1) 0 33 13/22 9/8 1 33 3/5 (-1/1,1/0) 0 33 11/18 1/8 1 33 8/13 0 11 21/34 1/2 7 3 13/21 (1/2,1/1) 0 33 18/29 (1/2,2/3) 0 33 5/8 1/0 1 33 12/19 (1/1,3/2) 0 33 19/30 1/0 1 33 26/41 (4/3,3/2) 0 33 7/11 0 11 9/14 1/0 1 33 13/20 1/0 7 1 2/3 (-1/1,1/0) 0 33 13/19 (-1/2,-5/11) 0 33 11/16 -1/4 1 11 9/13 0/1 4 3 7/10 1/0 1 33 12/17 (0/1,1/0) 0 33 41/58 1/0 1 1 17/24 1/0 1 33 22/31 (-1/2,0/1) 0 33 5/7 0 11 23/32 -1/2 7 3 18/25 (-1/2,-2/5) 0 33 31/43 (-3/8,-7/19) 0 33 13/18 -5/16 1 33 21/29 (-1/4,-5/21) 0 33 8/11 (-1/6,0/1) 0 33 19/26 -1/8 1 11 11/15 (-1/14,0/1) 0 33 14/19 0/1 18 1 3/4 1/4 1 33 7/9 (-1/1,1/0) 0 33 11/14 1/4 1 33 15/19 (1/2,3/5) 0 33 4/5 0 11 13/16 3/4 1 33 9/11 (1/2,1/1) 0 33 5/6 1/0 1 3 6/7 (-1/2,0/1) 0 33 19/22 1/0 1 33 13/15 (-1/4,0/1) 0 33 7/8 1/0 1 11 1/1 (0/1,1/2) 0 33 7/6 1/0 1 33 6/5 0/1 8 3 5/4 1/4 1 11 19/15 (1/2,1/1) 0 33 14/11 (0/1,1/0) 0 33 37/29 0/1 8 1 23/18 1/8 1 33 9/7 (1/4,1/3) 0 33 13/10 1/4 1 33 17/13 0 11 4/3 (1/3,1/2) 0 33 19/14 1/2 5 1 11/8 3/4 1 33 29/21 (3/4,1/1) 0 33 47/34 3/4 1 11 18/13 (5/6,1/1) 0 33 25/18 1/0 1 33 32/23 1/1 2 3 39/28 1/0 1 33 7/5 0 11 17/12 5/4 1 33 27/19 (1/1,3/2) 0 33 10/7 (-2/1,1/0) 0 33 13/9 0/1 4 3 3/2 1/0 1 33 20/13 0/1 12 1 17/11 (0/1,1/12) 0 33 31/20 1/8 1 11 14/9 (0/1,1/6) 0 33 39/25 (0/1,1/6) 0 33 25/16 1/4 1 33 11/7 0 11 41/26 1/4 1 33 101/64 1/4 25 1 30/19 (1/4,8/31) 0 33 19/12 7/24 1 33 8/5 (2/5,1/2) 0 33 29/18 3/4 1 33 21/13 (1/3,1/2) 0 33 55/34 3/4 1 33 34/21 1/1 2 3 47/29 (1/2,1/1) 0 33 13/8 1/0 1 11 31/19 (-1/1,1/0) 0 33 18/11 (-1/4,0/1) 0 33 41/25 0/1 16 1 23/14 1/12 1 33 5/3 (1/4,1/3) 0 33 22/13 (7/22,1/3) 0 33 17/10 3/8 1 11 29/17 (1/3,5/14) 0 33 70/41 0 11 41/24 3/8 1 33 12/7 (2/5,1/2) 0 33 7/4 1/2 3 3 9/5 (1/2,1/1) 0 33 29/16 1/0 1 11 49/27 (1/2,1/1) 0 33 20/11 (1/2,1/1) 0 33 11/6 1/0 1 33 2/1 0 11 13/6 1/0 1 33 11/5 (1/1,1/0) 0 33 9/4 1/4 1 33 23/10 1/2 7 1 7/3 (1/2,3/5) 0 33 26/11 (5/8,2/3) 0 33 71/30 37/56 1 33 116/49 2/3 30 1 45/19 (2/3,23/34) 0 33 19/8 3/4 1 11 31/13 2/3 4 3 12/5 (3/4,4/5) 0 33 5/2 1/0 1 33 18/7 (2/3,3/4) 0 33 49/19 (2/3,15/22) 0 33 31/12 3/4 1 33 13/5 0 11 47/18 3/4 1 33 34/13 (11/14,4/5) 0 33 21/8 3/4 1 33 8/3 1/1 4 3 27/10 5/4 1 33 73/27 (25/17,3/2) 0 33 265/98 3/2 29 1 119/44 37/24 1 33 46/17 0 11 19/7 (3/2,2/1) 0 33 11/4 1/0 1 11 36/13 (0/1,1/0) 0 33 97/35 0/1 4 1 61/22 1/4 1 33 25/9 (1/2,1/1) 0 33 14/5 (0/1,1/2) 0 33 17/6 3/4 1 33 3/1 (1/1,1/0) 0 33 13/4 1/0 1 33 23/7 0 11 10/3 (0/1,1/2) 0 33 27/8 13/16 1 33 17/5 1/1 8 3 7/2 1/0 1 11 25/7 (1/3,1/2) 0 33 43/12 1/2 7 3 18/5 (1/2,2/3) 0 33 29/8 3/4 1 33 11/3 (5/6,1/1) 0 33 26/7 1/1 14 1 15/4 9/8 1 33 34/9 (7/6,6/5) 0 33 19/5 0 11 23/6 11/8 1 33 27/7 (3/2,17/11) 0 33 4/1 (1/1,1/0) 0 33 21/5 (11/6,2/1) 0 33 17/4 1/0 1 11 13/3 (3/1,1/0) 0 33 9/2 1/0 3 3 14/3 (0/1,1/0) 0 33 19/4 1/0 1 33 24/5 (-1/4,0/1) 0 33 5/1 0 11 16/3 (0/1,1/2) 0 33 11/2 3/4 1 33 28/5 1/1 10 1 17/3 (1/1,7/6) 0 33 23/4 5/4 1 11 6/1 (1/1,3/2) 0 33 13/2 1/0 1 11 20/3 (2/1,5/2) 0 33 7/1 (5/1,1/0) 0 33 8/1 0 11 9/1 (1/2,1/1) 0 33 10/1 1/1 2 3 1/0 1/0 1 33 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(-1,0,2,1) (-1/1,0/1) -> (-1/1,0/1) Reflection Matrix(147,-19,116,-15) (0/1,1/7) -> (19/15,14/11) Glide Reflection Matrix(143,-23,56,-9) (1/7,1/6) -> (5/2,18/7) Hyperbolic Matrix(29,-5,168,-29) (1/6,5/28) -> (1/6,5/28) Reflection Matrix(111,-20,616,-111) (5/28,2/11) -> (5/28,2/11) Reflection Matrix(195,-37,332,-63) (2/11,1/5) -> (17/29,10/17) Glide Reflection Matrix(137,-29,326,-69) (1/5,3/14) -> (5/12,8/19) Hyperbolic Matrix(189,-41,272,-59) (3/14,2/9) -> (9/13,7/10) Hyperbolic Matrix(79,-19,54,-13) (2/9,1/4) -> (13/9,3/2) Glide Reflection Matrix(27,-7,104,-27) (1/4,7/26) -> (1/4,7/26) Reflection Matrix(155,-42,572,-155) (7/26,3/11) -> (7/26,3/11) Reflection Matrix(439,-121,156,-43) (3/11,5/18) -> (14/5,17/6) Glide Reflection Matrix(1753,-490,1084,-303) (5/18,7/25) -> (21/13,55/34) Hyperbolic Matrix(205,-58,258,-73) (7/25,2/7) -> (15/19,4/5) Glide Reflection Matrix(231,-67,562,-163) (2/7,7/24) -> (9/22,7/17) Hyperbolic Matrix(867,-254,256,-75) (7/24,5/17) -> (27/8,17/5) Glide Reflection Matrix(179,-53,152,-45) (5/17,3/10) -> (7/6,6/5) Hyperbolic Matrix(227,-69,102,-31) (3/10,4/13) -> (11/5,9/4) Hyperbolic Matrix(327,-103,200,-63) (4/13,1/3) -> (31/19,18/11) Glide Reflection Matrix(463,-163,196,-69) (1/3,6/17) -> (7/3,26/11) Hyperbolic Matrix(731,-260,194,-69) (6/17,5/14) -> (15/4,34/9) Hyperbolic Matrix(1019,-366,632,-227) (5/14,9/25) -> (29/18,21/13) Glide Reflection Matrix(461,-167,726,-263) (9/25,4/11) -> (26/41,7/11) Glide Reflection Matrix(73,-27,192,-71) (4/11,3/8) -> (3/8,5/13) Parabolic Matrix(523,-202,334,-129) (5/13,7/18) -> (25/16,11/7) Hyperbolic Matrix(523,-204,664,-259) (7/18,9/23) -> (11/14,15/19) Glide Reflection Matrix(617,-242,900,-353) (9/23,11/28) -> (13/19,11/16) Glide Reflection Matrix(283,-112,48,-19) (11/28,2/5) -> (23/4,6/1) Glide Reflection Matrix(587,-239,140,-57) (2/5,11/27) -> (4/1,21/5) Hyperbolic Matrix(1571,-641,2718,-1109) (11/27,9/22) -> (26/45,37/64) Glide Reflection Matrix(351,-145,46,-19) (7/17,12/29) -> (7/1,8/1) Hyperbolic Matrix(1681,-696,4060,-1681) (12/29,29/70) -> (12/29,29/70) Reflection Matrix(349,-145,840,-349) (29/70,5/12) -> (29/70,5/12) Reflection Matrix(1067,-450,1904,-803) (8/19,19/45) -> (14/25,23/41) Glide Reflection Matrix(4409,-1862,10440,-4409) (19/45,49/116) -> (19/45,49/116) Reflection Matrix(1275,-539,3016,-1275) (49/116,11/26) -> (49/116,11/26) Reflection Matrix(671,-285,186,-79) (11/26,3/7) -> (18/5,29/8) Hyperbolic Matrix(139,-60,322,-139) (3/7,10/23) -> (3/7,10/23) Reflection Matrix(321,-140,736,-321) (10/23,7/16) -> (10/23,7/16) Reflection Matrix(597,-262,458,-201) (7/16,11/25) -> (13/10,17/13) Glide Reflection Matrix(457,-202,138,-61) (11/25,4/9) -> (23/7,10/3) Glide Reflection Matrix(387,-175,272,-123) (4/9,5/11) -> (27/19,10/7) Glide Reflection Matrix(23,-11,44,-21) (5/11,1/2) -> (1/2,6/11) Parabolic Matrix(277,-153,382,-211) (6/11,5/9) -> (21/29,8/11) Glide Reflection Matrix(445,-249,84,-47) (5/9,14/25) -> (5/1,16/3) Hyperbolic Matrix(1649,-926,1056,-593) (23/41,9/16) -> (39/25,25/16) Glide Reflection Matrix(169,-96,294,-167) (9/16,4/7) -> (4/7,15/26) Parabolic Matrix(1193,-689,1380,-797) (15/26,26/45) -> (19/22,13/15) Glide Reflection Matrix(5205,-3011,1924,-1113) (37/64,11/19) -> (119/44,46/17) Glide Reflection Matrix(271,-157,126,-73) (11/19,7/12) -> (2/1,13/6) Glide Reflection Matrix(937,-549,582,-341) (7/12,17/29) -> (8/5,29/18) Hyperbolic Matrix(603,-355,124,-73) (10/17,23/39) -> (24/5,5/1) Hyperbolic Matrix(3341,-1971,1412,-833) (23/39,13/22) -> (26/11,71/30) Glide Reflection Matrix(747,-442,1036,-613) (13/22,3/5) -> (31/43,13/18) Hyperbolic Matrix(205,-124,124,-75) (3/5,11/18) -> (23/14,5/3) Hyperbolic Matrix(347,-213,246,-151) (11/18,8/13) -> (7/5,17/12) Hyperbolic Matrix(469,-289,654,-403) (8/13,21/34) -> (5/7,23/32) Glide Reflection Matrix(1753,-1084,490,-303) (21/34,13/21) -> (25/7,43/12) Hyperbolic Matrix(1019,-632,366,-227) (13/21,18/29) -> (25/9,14/5) Glide Reflection Matrix(447,-278,82,-51) (18/29,5/8) -> (16/3,11/2) Glide Reflection Matrix(141,-89,122,-77) (5/8,12/19) -> (1/1,7/6) Hyperbolic Matrix(809,-512,444,-281) (12/19,19/30) -> (20/11,11/6) Glide Reflection Matrix(3251,-2061,1172,-743) (19/30,26/41) -> (61/22,25/9) Glide Reflection Matrix(523,-334,202,-129) (7/11,9/14) -> (31/12,13/5) Hyperbolic Matrix(181,-117,280,-181) (9/14,13/20) -> (9/14,13/20) Reflection Matrix(79,-52,120,-79) (13/20,2/3) -> (13/20,2/3) Reflection Matrix(157,-106,40,-27) (2/3,13/19) -> (27/7,4/1) Hyperbolic Matrix(743,-512,312,-215) (11/16,9/13) -> (19/8,31/13) Glide Reflection Matrix(251,-177,78,-55) (7/10,12/17) -> (3/1,13/4) Hyperbolic Matrix(1393,-984,1972,-1393) (12/17,41/58) -> (12/17,41/58) Reflection Matrix(985,-697,1392,-985) (41/58,17/24) -> (41/58,17/24) Reflection Matrix(733,-520,850,-603) (17/24,22/31) -> (6/7,19/22) Hyperbolic Matrix(2373,-1685,1390,-987) (22/31,5/7) -> (29/17,70/41) Glide Reflection Matrix(1651,-1188,460,-331) (23/32,18/25) -> (43/12,18/5) Glide Reflection Matrix(1035,-746,154,-111) (18/25,31/43) -> (20/3,7/1) Glide Reflection Matrix(1091,-789,690,-499) (13/18,21/29) -> (30/19,19/12) Hyperbolic Matrix(553,-403,306,-223) (8/11,19/26) -> (9/5,29/16) Glide Reflection Matrix(801,-586,190,-139) (19/26,11/15) -> (21/5,17/4) Hyperbolic Matrix(419,-308,570,-419) (11/15,14/19) -> (11/15,14/19) Reflection Matrix(113,-84,152,-113) (14/19,3/4) -> (14/19,3/4) Reflection Matrix(93,-71,38,-29) (3/4,7/9) -> (12/5,5/2) Hyperbolic Matrix(333,-260,260,-203) (7/9,11/14) -> (23/18,9/7) Hyperbolic Matrix(419,-339,110,-89) (4/5,13/16) -> (19/5,23/6) Glide Reflection Matrix(619,-504,436,-355) (13/16,9/11) -> (17/12,27/19) Glide Reflection Matrix(91,-75,108,-89) (9/11,5/6) -> (5/6,6/7) Parabolic Matrix(601,-522,388,-337) (13/15,7/8) -> (17/11,31/20) Glide Reflection Matrix(191,-173,138,-125) (7/8,1/1) -> (47/34,18/13) Glide Reflection Matrix(103,-127,30,-37) (6/5,5/4) -> (17/5,7/2) Glide Reflection Matrix(205,-258,58,-73) (5/4,19/15) -> (7/2,25/7) Glide Reflection Matrix(813,-1036,638,-813) (14/11,37/29) -> (14/11,37/29) Reflection Matrix(1333,-1702,1044,-1333) (37/29,23/18) -> (37/29,23/18) Reflection Matrix(273,-353,58,-75) (9/7,13/10) -> (14/3,19/4) Glide Reflection Matrix(385,-507,142,-187) (17/13,4/3) -> (46/17,19/7) Glide Reflection Matrix(113,-152,84,-113) (4/3,19/14) -> (4/3,19/14) Reflection Matrix(153,-209,112,-153) (19/14,11/8) -> (19/14,11/8) Reflection Matrix(361,-498,166,-229) (11/8,29/21) -> (13/6,11/5) Glide Reflection Matrix(1455,-2011,526,-727) (29/21,47/34) -> (11/4,36/13) Hyperbolic Matrix(1285,-1783,498,-691) (18/13,25/18) -> (49/19,31/12) Glide Reflection Matrix(1877,-2610,1160,-1613) (25/18,32/23) -> (55/34,34/21) Glide Reflection Matrix(303,-422,28,-39) (32/23,39/28) -> (10/1,1/0) Glide Reflection Matrix(2165,-3017,1268,-1767) (39/28,7/5) -> (70/41,41/24) Hyperbolic Matrix(325,-466,136,-195) (10/7,13/9) -> (31/13,12/5) Hyperbolic Matrix(79,-120,52,-79) (3/2,20/13) -> (3/2,20/13) Reflection Matrix(441,-680,286,-441) (20/13,17/11) -> (20/13,17/11) Reflection Matrix(517,-802,78,-121) (31/20,14/9) -> (13/2,20/3) Glide Reflection Matrix(1405,-2191,774,-1207) (14/9,39/25) -> (49/27,20/11) Glide Reflection Matrix(667,-1050,256,-403) (11/7,41/26) -> (13/5,47/18) Glide Reflection Matrix(2625,-4141,1664,-2625) (41/26,101/64) -> (41/26,101/64) Reflection Matrix(3839,-6060,2432,-3839) (101/64,30/19) -> (101/64,30/19) Reflection Matrix(255,-406,76,-121) (19/12,8/5) -> (10/3,27/8) Hyperbolic Matrix(479,-776,50,-81) (34/21,47/29) -> (9/1,10/1) Hyperbolic Matrix(1233,-2000,680,-1103) (47/29,13/8) -> (29/16,49/27) Hyperbolic Matrix(427,-696,100,-163) (13/8,31/19) -> (17/4,13/3) Glide Reflection Matrix(901,-1476,550,-901) (18/11,41/25) -> (18/11,41/25) Reflection Matrix(1149,-1886,700,-1149) (41/25,23/14) -> (41/25,23/14) Reflection Matrix(381,-641,148,-249) (5/3,22/13) -> (18/7,49/19) Glide Reflection Matrix(697,-1183,294,-499) (22/13,17/10) -> (45/19,19/8) Glide Reflection Matrix(561,-956,98,-167) (17/10,29/17) -> (17/3,23/4) Hyperbolic Matrix(1145,-1958,438,-749) (41/24,12/7) -> (47/18,34/13) Glide Reflection Matrix(85,-147,48,-83) (12/7,7/4) -> (7/4,9/5) Parabolic Matrix(151,-279,46,-85) (11/6,2/1) -> (13/4,23/7) Glide Reflection Matrix(91,-207,40,-91) (9/4,23/10) -> (9/4,23/10) Reflection Matrix(139,-322,60,-139) (23/10,7/3) -> (23/10,7/3) Reflection Matrix(6959,-16472,2940,-6959) (71/30,116/49) -> (71/30,116/49) Reflection Matrix(4409,-10440,1862,-4409) (116/49,45/19) -> (116/49,45/19) Reflection Matrix(465,-1217,128,-335) (34/13,21/8) -> (29/8,11/3) Hyperbolic Matrix(145,-384,54,-143) (21/8,8/3) -> (8/3,27/10) Parabolic Matrix(891,-2408,232,-627) (27/10,73/27) -> (23/6,27/7) Glide Reflection Matrix(14309,-38690,5292,-14309) (73/27,265/98) -> (73/27,265/98) Reflection Matrix(11661,-31535,4312,-11661) (265/98,119/44) -> (265/98,119/44) Reflection Matrix(115,-313,18,-49) (19/7,11/4) -> (6/1,13/2) Glide Reflection Matrix(2521,-6984,910,-2521) (36/13,97/35) -> (36/13,97/35) Reflection Matrix(4269,-11834,1540,-4269) (97/35,61/22) -> (97/35,61/22) Reflection Matrix(163,-465,34,-97) (17/6,3/1) -> (19/4,24/5) Glide Reflection Matrix(155,-572,42,-155) (11/3,26/7) -> (11/3,26/7) Reflection Matrix(209,-780,56,-209) (26/7,15/4) -> (26/7,15/4) Reflection Matrix(117,-443,14,-53) (34/9,19/5) -> (8/1,9/1) Hyperbolic Matrix(55,-243,12,-53) (13/3,9/2) -> (9/2,14/3) Parabolic Matrix(111,-616,20,-111) (11/2,28/5) -> (11/2,28/5) Reflection Matrix(169,-952,30,-169) (28/5,17/3) -> (28/5,17/3) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,0,-1) (-1/1,1/0) -> (0/1,1/0) Matrix(-1,0,2,1) -> Matrix(1,0,4,-1) (-1/1,0/1) -> (0/1,1/2) Matrix(147,-19,116,-15) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(143,-23,56,-9) -> Matrix(3,-1,4,-1) 1/2 Matrix(29,-5,168,-29) -> Matrix(3,-1,8,-3) (1/6,5/28) -> (1/4,1/2) Matrix(111,-20,616,-111) -> Matrix(23,-12,44,-23) (5/28,2/11) -> (1/2,6/11) Matrix(195,-37,332,-63) -> Matrix(5,-3,8,-5) *** -> (1/2,3/4) Matrix(137,-29,326,-69) -> Matrix(1,-1,4,-3) 1/2 Matrix(189,-41,272,-59) -> Matrix(1,-1,4,-3) 1/2 Matrix(79,-19,54,-13) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(27,-7,104,-27) -> Matrix(-1,1,0,1) (1/4,7/26) -> (1/2,1/0) Matrix(155,-42,572,-155) -> Matrix(11,-6,20,-11) (7/26,3/11) -> (1/2,3/5) Matrix(439,-121,156,-43) -> Matrix(5,-3,8,-5) *** -> (1/2,3/4) Matrix(1753,-490,1084,-303) -> Matrix(1,0,0,1) Matrix(205,-58,258,-73) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(231,-67,562,-163) -> Matrix(9,-7,4,-3) Matrix(867,-254,256,-75) -> Matrix(11,-10,12,-11) *** -> (5/6,1/1) Matrix(179,-53,152,-45) -> Matrix(1,-1,0,1) 1/0 Matrix(227,-69,102,-31) -> Matrix(1,-1,4,-3) 1/2 Matrix(327,-103,200,-63) -> Matrix(1,-1,-4,3) Matrix(463,-163,196,-69) -> Matrix(5,-7,8,-11) Matrix(731,-260,194,-69) -> Matrix(5,-4,4,-3) 1/1 Matrix(1019,-366,632,-227) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(461,-167,726,-263) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(73,-27,192,-71) -> Matrix(1,-1,0,1) 1/0 Matrix(523,-202,334,-129) -> Matrix(1,0,4,1) 0/1 Matrix(523,-204,664,-259) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(617,-242,900,-353) -> Matrix(3,-2,-8,5) Matrix(283,-112,48,-19) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(587,-239,140,-57) -> Matrix(7,-9,4,-5) 3/2 Matrix(1571,-641,2718,-1109) -> Matrix(5,-7,12,-17) Matrix(351,-145,46,-19) -> Matrix(1,-3,0,1) 1/0 Matrix(1681,-696,4060,-1681) -> Matrix(-1,16,0,1) (12/29,29/70) -> (8/1,1/0) Matrix(349,-145,840,-349) -> Matrix(1,1,0,-1) (29/70,5/12) -> (-1/2,1/0) Matrix(1067,-450,1904,-803) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(4409,-1862,10440,-4409) -> Matrix(1,0,4,-1) (19/45,49/116) -> (0/1,1/2) Matrix(1275,-539,3016,-1275) -> Matrix(-1,1,0,1) (49/116,11/26) -> (1/2,1/0) Matrix(671,-285,186,-79) -> Matrix(3,-1,4,-1) 1/2 Matrix(139,-60,322,-139) -> Matrix(3,-2,4,-3) (3/7,10/23) -> (1/2,1/1) Matrix(321,-140,736,-321) -> Matrix(9,-10,8,-9) (10/23,7/16) -> (1/1,5/4) Matrix(597,-262,458,-201) -> Matrix(3,-4,8,-11) Matrix(457,-202,138,-61) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(387,-175,272,-123) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(23,-11,44,-21) -> Matrix(1,-1,0,1) 1/0 Matrix(277,-153,382,-211) -> Matrix(1,1,-4,-5) Matrix(445,-249,84,-47) -> Matrix(1,1,0,1) 1/0 Matrix(1649,-926,1056,-593) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(169,-96,294,-167) -> Matrix(1,0,4,1) 0/1 Matrix(1193,-689,1380,-797) -> Matrix(3,-1,-4,1) Matrix(5205,-3011,1924,-1113) -> Matrix(7,-5,4,-3) Matrix(271,-157,126,-73) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(937,-549,582,-341) -> Matrix(3,-1,4,-1) 1/2 Matrix(603,-355,124,-73) -> Matrix(1,-1,4,-3) 1/2 Matrix(3341,-1971,1412,-833) -> Matrix(21,-19,32,-29) Matrix(747,-442,1036,-613) -> Matrix(3,-4,-8,11) Matrix(205,-124,124,-75) -> Matrix(1,0,4,1) 0/1 Matrix(347,-213,246,-151) -> Matrix(3,-1,4,-1) 1/2 Matrix(469,-289,654,-403) -> Matrix(3,-1,-4,1) Matrix(1753,-1084,490,-303) -> Matrix(3,-2,8,-5) 1/2 Matrix(1019,-632,366,-227) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(447,-278,82,-51) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(141,-89,122,-77) -> Matrix(1,-1,0,1) 1/0 Matrix(809,-512,444,-281) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(3251,-2061,1172,-743) -> Matrix(1,-1,4,-5) Matrix(523,-334,202,-129) -> Matrix(3,-4,4,-5) 1/1 Matrix(181,-117,280,-181) -> Matrix(-1,5,0,1) (9/14,13/20) -> (5/2,1/0) Matrix(79,-52,120,-79) -> Matrix(1,2,0,-1) (13/20,2/3) -> (-1/1,1/0) Matrix(157,-106,40,-27) -> Matrix(1,2,0,1) 1/0 Matrix(743,-512,312,-215) -> Matrix(5,2,8,3) Matrix(251,-177,78,-55) -> Matrix(1,1,0,1) 1/0 Matrix(1393,-984,1972,-1393) -> Matrix(1,0,0,-1) (12/17,41/58) -> (0/1,1/0) Matrix(985,-697,1392,-985) -> Matrix(1,1,0,-1) (41/58,17/24) -> (-1/2,1/0) Matrix(733,-520,850,-603) -> Matrix(1,0,0,1) Matrix(2373,-1685,1390,-987) -> Matrix(3,-1,8,-3) *** -> (1/4,1/2) Matrix(1651,-1188,460,-331) -> Matrix(9,4,16,7) Matrix(1035,-746,154,-111) -> Matrix(21,8,8,3) Matrix(1091,-789,690,-499) -> Matrix(11,3,40,11) Matrix(553,-403,306,-223) -> Matrix(7,1,8,1) Matrix(801,-586,190,-139) -> Matrix(17,2,8,1) Matrix(419,-308,570,-419) -> Matrix(-1,0,28,1) (11/15,14/19) -> (-1/14,0/1) Matrix(113,-84,152,-113) -> Matrix(1,0,8,-1) (14/19,3/4) -> (0/1,1/4) Matrix(93,-71,38,-29) -> Matrix(3,-1,4,-1) 1/2 Matrix(333,-260,260,-203) -> Matrix(1,0,4,1) 0/1 Matrix(419,-339,110,-89) -> Matrix(5,-1,4,-1) Matrix(619,-504,436,-355) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(91,-75,108,-89) -> Matrix(1,-1,0,1) 1/0 Matrix(601,-522,388,-337) -> Matrix(1,0,8,-1) *** -> (0/1,1/4) Matrix(191,-173,138,-125) -> Matrix(3,1,4,1) Matrix(103,-127,30,-37) -> Matrix(5,-1,4,-1) Matrix(205,-258,58,-73) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(813,-1036,638,-813) -> Matrix(1,0,0,-1) (14/11,37/29) -> (0/1,1/0) Matrix(1333,-1702,1044,-1333) -> Matrix(1,0,16,-1) (37/29,23/18) -> (0/1,1/8) Matrix(273,-353,58,-75) -> Matrix(3,-1,-4,1) Matrix(385,-507,142,-187) -> Matrix(5,-1,4,-1) Matrix(113,-152,84,-113) -> Matrix(5,-2,12,-5) (4/3,19/14) -> (1/3,1/2) Matrix(153,-209,112,-153) -> Matrix(5,-3,8,-5) (19/14,11/8) -> (1/2,3/4) Matrix(361,-498,166,-229) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(1455,-2011,526,-727) -> Matrix(1,-1,4,-3) 1/2 Matrix(1285,-1783,498,-691) -> Matrix(3,-5,4,-7) Matrix(1877,-2610,1160,-1613) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(303,-422,28,-39) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(2165,-3017,1268,-1767) -> Matrix(3,1,8,3) Matrix(325,-466,136,-195) -> Matrix(3,2,4,3) Matrix(79,-120,52,-79) -> Matrix(1,0,0,-1) (3/2,20/13) -> (0/1,1/0) Matrix(441,-680,286,-441) -> Matrix(1,0,24,-1) (20/13,17/11) -> (0/1,1/12) Matrix(517,-802,78,-121) -> Matrix(17,-2,8,-1) Matrix(1405,-2191,774,-1207) -> Matrix(5,-1,4,-1) Matrix(667,-1050,256,-403) -> Matrix(11,-2,16,-3) Matrix(2625,-4141,1664,-2625) -> Matrix(37,-9,152,-37) (41/26,101/64) -> (9/38,1/4) Matrix(3839,-6060,2432,-3839) -> Matrix(63,-16,248,-63) (101/64,30/19) -> (1/4,8/31) Matrix(255,-406,76,-121) -> Matrix(5,-2,8,-3) 1/2 Matrix(479,-776,50,-81) -> Matrix(1,0,0,1) Matrix(1233,-2000,680,-1103) -> Matrix(1,0,0,1) Matrix(427,-696,100,-163) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(901,-1476,550,-901) -> Matrix(-1,0,8,1) (18/11,41/25) -> (-1/4,0/1) Matrix(1149,-1886,700,-1149) -> Matrix(1,0,24,-1) (41/25,23/14) -> (0/1,1/12) Matrix(381,-641,148,-249) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(697,-1183,294,-499) -> Matrix(25,-9,36,-13) Matrix(561,-956,98,-167) -> Matrix(7,-2,4,-1) Matrix(1145,-1958,438,-749) -> Matrix(47,-18,60,-23) Matrix(85,-147,48,-83) -> Matrix(7,-3,12,-5) 1/2 Matrix(151,-279,46,-85) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(91,-207,40,-91) -> Matrix(3,-1,8,-3) (9/4,23/10) -> (1/4,1/2) Matrix(139,-322,60,-139) -> Matrix(11,-6,20,-11) (23/10,7/3) -> (1/2,3/5) Matrix(6959,-16472,2940,-6959) -> Matrix(223,-148,336,-223) (71/30,116/49) -> (37/56,2/3) Matrix(4409,-10440,1862,-4409) -> Matrix(137,-92,204,-137) (116/49,45/19) -> (2/3,23/34) Matrix(465,-1217,128,-335) -> Matrix(11,-9,16,-13) 3/4 Matrix(145,-384,54,-143) -> Matrix(9,-8,8,-7) 1/1 Matrix(891,-2408,232,-627) -> Matrix(17,-24,12,-17) *** -> (4/3,3/2) Matrix(14309,-38690,5292,-14309) -> Matrix(101,-150,68,-101) (73/27,265/98) -> (25/17,3/2) Matrix(11661,-31535,4312,-11661) -> Matrix(73,-111,48,-73) (265/98,119/44) -> (3/2,37/24) Matrix(115,-313,18,-49) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(2521,-6984,910,-2521) -> Matrix(1,0,0,-1) (36/13,97/35) -> (0/1,1/0) Matrix(4269,-11834,1540,-4269) -> Matrix(1,0,8,-1) (97/35,61/22) -> (0/1,1/4) Matrix(163,-465,34,-97) -> Matrix(1,-1,-4,3) Matrix(155,-572,42,-155) -> Matrix(11,-10,12,-11) (11/3,26/7) -> (5/6,1/1) Matrix(209,-780,56,-209) -> Matrix(17,-18,16,-17) (26/7,15/4) -> (1/1,9/8) Matrix(117,-443,14,-53) -> Matrix(1,-1,-4,5) Matrix(55,-243,12,-53) -> Matrix(1,-3,0,1) 1/0 Matrix(111,-616,20,-111) -> Matrix(7,-6,8,-7) (11/2,28/5) -> (3/4,1/1) Matrix(169,-952,30,-169) -> Matrix(13,-14,12,-13) (28/5,17/3) -> (1/1,7/6) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.