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): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 128 Genus: 129 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -13/28 -5/11 -4/9 -11/26 -7/17 -2/5 -3/8 -1/3 -2/7 -1/4 -3/13 -4/19 -1/6 -1/7 -2/17 0/1 1/9 2/13 3/17 1/5 1/4 7/23 1/3 4/11 3/7 1/2 11/19 7/11 2/3 5/7 13/17 4/5 7/8 1/1 8/7 13/11 11/9 5/4 17/13 121/89 7/5 3/2 11/7 46/29 37/23 13/8 5/3 19/11 16/9 9/5 13/7 2/1 17/8 41/19 11/5 31/14 25/11 7/3 19/8 17/7 5/2 43/17 28/11 151/59 18/7 13/5 76/29 51/19 35/13 11/4 31/11 89/31 26/9 3/1 19/6 16/5 61/19 23/7 10/3 27/8 17/5 31/9 7/2 47/13 11/3 19/5 4/1 21/5 17/4 81/19 13/3 61/14 22/5 49/11 9/2 41/9 23/5 37/8 14/3 33/7 19/4 24/5 5/1 21/4 16/3 27/5 38/7 11/2 28/5 17/3 23/4 6/1 25/4 19/3 13/2 20/3 7/1 22/3 15/2 53/7 23/3 8/1 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 0/1 1/1 -8/17 0/1 -7/15 -1/1 1/1 -13/28 0/1 -6/13 1/2 1/1 -17/37 0/1 -11/24 1/3 1/2 -16/35 3/7 1/2 -5/11 1/1 -19/42 0/1 1/1 -14/31 -1/1 0/1 -23/51 -1/1 1/1 -9/20 -1/3 0/1 -13/29 1/3 1/1 -4/9 0/1 -15/34 1/2 1/1 -11/25 1/1 -18/41 0/1 1/5 -7/16 1/2 -17/39 1/1 -27/62 2/3 -37/85 2/3 -10/23 3/4 1/1 -13/30 1/1 4/3 -3/7 -1/1 1/1 -14/33 -1/3 -1/4 -11/26 0/1 -19/45 1/9 -27/64 2/11 1/5 -35/83 0/1 -8/19 0/1 1/5 -13/31 1/3 -31/74 5/13 2/5 -18/43 1/2 -23/55 1/3 1/1 -5/12 1/2 1/1 -22/53 1/2 1/1 -17/41 1/2 -12/29 3/5 2/3 -19/46 3/4 -7/17 1/1 -23/56 3/2 -16/39 1/1 2/1 -9/22 3/1 1/0 -11/27 -1/1 1/1 -2/5 0/1 -13/33 1/2 -11/28 2/3 1/1 -9/23 1/1 -25/64 1/2 -16/41 2/3 -7/18 4/5 1/1 -12/31 1/1 7/6 -17/44 3/2 -39/101 1/1 -22/57 3/2 -5/13 1/1 3/1 -23/60 0/1 1/1 -41/107 1/1 -18/47 1/1 1/0 -13/34 1/0 -21/55 5/1 -8/21 -3/1 1/0 -11/29 -1/1 -14/37 -1/3 0/1 -3/8 0/1 -16/43 0/1 -13/35 1/5 -10/27 1/3 2/5 -7/19 1/2 -11/30 1/2 1/1 -15/41 5/9 -19/52 5/8 -4/11 3/4 1/1 -13/36 1/1 10/9 -9/25 1/1 7/5 -14/39 2/1 -19/53 1/1 -5/14 1/0 -11/31 1/0 -6/17 0/1 1/1 -7/20 -1/1 1/0 -8/23 0/1 -1/3 1/1 -7/22 1/0 -6/19 1/1 1/0 -5/16 1/1 2/1 -9/29 1/0 -4/13 0/1 -15/49 1/5 -11/36 1/2 -7/23 3/5 1/1 -10/33 6/7 1/1 -3/10 1/1 3/2 -14/47 2/1 -11/37 1/1 -19/64 2/1 -8/27 7/3 5/2 -5/17 1/0 -7/24 0/1 1/1 -9/31 1/1 -11/38 5/2 -2/7 1/0 -9/32 0/1 1/1 -7/25 1/1 -5/18 3/1 1/0 -18/65 -11/1 1/0 -13/47 -3/1 -8/29 -2/1 -11/40 -1/1 -1/2 -14/51 -1/3 0/1 -17/62 0/1 -3/11 -1/1 1/1 -13/48 0/1 -23/85 1/1 -10/37 0/1 -17/63 1/1 -7/26 1/2 1/1 -4/15 1/1 2/1 -9/34 1/0 -14/53 2/1 -5/19 1/1 -6/23 3/1 4/1 -7/27 1/0 -1/4 1/0 -5/21 -3/1 -1/1 -4/17 -3/1 1/0 -7/30 -3/1 -2/1 -3/13 -1/1 -11/48 -1/3 0/1 -8/35 0/1 -5/22 0/1 1/1 -7/31 1/0 -9/40 -1/1 -3/4 -2/9 1/1 1/0 -9/41 -5/3 -1/1 -7/32 0/1 -12/55 0/1 1/3 -5/23 1/1 -3/14 1/1 2/1 -13/61 4/1 -10/47 5/1 6/1 -7/33 5/1 -4/19 1/0 -9/43 -11/1 -5/24 -7/1 1/0 -1/5 -3/1 -1/1 -4/21 -6/5 -1/1 -3/16 -1/1 -3/4 -11/59 -2/3 -8/43 -1/2 -5/27 -1/3 -2/11 0/1 -5/28 -1/3 0/1 -8/45 0/1 1/5 -3/17 1/1 -7/40 1/2 -4/23 1/1 3/2 -1/6 1/0 -3/19 -3/1 -7/3 -2/13 -2/1 -5/3 -5/33 -3/1 -1/1 -3/20 -2/1 -5/3 -4/27 -7/5 -4/3 -5/34 -3/2 -1/1 -1/7 -1/1 -3/22 -1/2 -1/3 -2/15 -1/2 -1/3 -3/23 0/1 -1/8 1/1 1/0 -2/17 1/0 -3/26 -4/1 -3/1 -1/9 -3/1 -1/1 -1/10 -3/2 0/1 -1/1 0/1 1/9 -1/1 1/8 -3/4 3/23 -5/7 2/15 -2/3 -7/11 3/22 -2/3 1/7 -1/1 -3/5 2/13 -1/2 3/19 -1/3 1/6 -1/2 -1/3 3/17 0/1 8/45 1/6 1/5 5/28 1/2 7/39 1/1 2/11 1/1 1/0 5/27 -3/1 -1/1 3/16 1/1 1/0 1/5 -1/1 4/19 -4/5 -7/9 3/14 -5/7 -2/3 8/37 -2/3 5/23 -1/1 -3/5 7/32 -3/4 2/9 -5/7 -2/3 5/22 -5/8 8/35 -1/1 -2/3 3/13 -7/11 -3/5 7/30 -3/5 -16/27 11/47 -3/5 4/17 -4/7 5/21 -3/5 1/4 -1/2 5/19 -1/2 9/34 -2/5 -1/3 4/15 -3/8 -1/3 3/11 -1/3 5/18 0/1 1/1 12/43 1/0 19/68 -3/2 7/25 -1/1 -3/5 9/32 -1/2 -1/3 2/7 0/1 7/24 -3/2 -1/1 5/17 1/1 13/44 1/0 21/71 -3/1 -1/1 8/27 1/0 11/37 -2/1 14/47 -2/1 -1/1 3/10 -3/2 -1/1 7/23 -1/1 11/36 -1/1 -15/16 4/13 -1/1 -6/7 9/29 -7/9 14/45 -1/1 -6/7 5/16 -3/4 1/3 -1/1 -3/5 6/17 -3/5 -4/7 11/31 -5/9 5/14 -7/13 -1/2 4/11 -1/2 7/19 -5/11 17/46 -1/2 10/27 -6/13 -5/11 13/35 -4/9 16/43 -4/9 -3/7 3/8 -2/5 -1/3 8/21 -1/2 -1/3 21/55 -3/7 -1/3 13/34 -1/1 -1/2 5/13 -1/3 17/44 -1/3 0/1 29/75 -1/1 -1/3 12/31 -1/5 0/1 7/18 0/1 16/41 -2/1 25/64 -11/10 -1/1 9/23 -1/1 -5/7 11/28 -1/2 13/33 -3/5 2/5 -1/2 -1/3 13/32 0/1 11/27 1/1 9/22 -3/2 -1/1 7/17 -1/2 19/46 -1/2 12/29 -1/3 -1/4 17/41 -1/3 22/53 0/1 5/12 -1/3 0/1 18/43 -1/1 -2/3 13/31 -1/1 -1/3 21/50 -1/7 0/1 29/69 1/1 8/19 0/1 3/7 -1/1 10/23 -2/3 7/16 -2/3 -3/5 18/41 -2/1 -1/1 11/25 -2/3 4/9 -3/5 -1/2 5/11 -1/1 -3/5 11/24 -1/2 17/37 -3/5 6/13 -7/13 -1/2 7/15 -1/3 1/2 -1/2 9/17 -1/3 8/15 -1/3 0/1 15/28 -2/3 -3/5 7/13 -1/2 6/11 -4/9 -3/7 5/9 -1/3 19/34 -1/2 -5/11 14/25 -2/5 9/16 -1/2 22/39 -3/7 -14/33 13/23 -2/5 4/7 -2/5 -1/3 11/19 -1/3 18/31 -1/3 -4/13 7/12 -1/3 -1/4 10/17 0/1 33/56 -1/1 -1/2 23/39 -1/3 13/22 0/1 16/27 -1/5 0/1 3/5 -1/1 -1/3 14/23 0/1 1/1 25/41 -1/1 11/18 -1/1 1/0 19/31 -1/1 46/75 -1/1 -6/7 73/119 -6/7 27/44 -9/11 -4/5 8/13 -2/3 21/34 -1/2 55/89 -1/2 34/55 -3/5 -1/2 81/131 -3/5 -5/9 47/76 -1/2 13/21 -3/5 5/8 -1/2 -3/7 12/19 -1/2 -1/3 19/30 -1/3 0/1 7/11 -1/3 23/36 -1/3 0/1 39/61 0/1 16/25 -1/3 -1/4 25/39 -1/1 1/1 34/53 0/1 9/14 -1/3 0/1 20/31 0/1 11/17 -3/1 -1/1 2/3 -1/2 13/19 -17/39 -3/7 11/16 -5/12 20/29 -15/37 -2/5 9/13 -1/3 25/36 -2/5 -1/3 41/59 -2/5 16/23 -2/5 39/56 -3/8 23/33 -7/19 -1/3 7/10 -1/3 0/1 12/17 -1/2 -1/3 17/24 -1/2 -1/3 5/7 -1/2 18/25 -3/7 -2/5 31/43 -5/11 13/18 -1/2 -3/7 34/47 -10/23 21/29 -3/7 50/69 -3/7 -20/47 29/40 -11/26 8/11 -5/12 -7/17 11/15 -1/3 25/34 -2/5 -1/3 14/19 -2/5 17/23 -2/5 3/4 -3/8 -1/3 13/17 -1/3 23/30 -1/3 -15/46 10/13 -1/3 -6/19 47/61 -4/13 37/48 -4/13 27/35 -1/3 44/57 -1/3 -5/16 17/22 -3/10 7/9 -1/3 -3/11 25/32 -1/4 43/55 -5/19 18/23 -1/4 -3/13 11/14 -1/4 26/33 -6/29 -1/5 67/85 -1/5 -15/77 41/52 -3/16 15/19 -1/7 19/24 0/1 1/1 4/5 0/1 17/21 -1/3 13/16 -1/1 -3/4 9/11 -1/2 14/17 -1/2 -1/3 5/6 -2/5 -1/3 16/19 0/1 11/13 0/1 28/33 -1/1 -4/5 17/20 -1/3 0/1 6/7 -1/2 -1/3 19/22 -1/2 -1/3 13/15 -1/1 -3/5 7/8 -1/2 15/17 -3/7 -1/3 8/9 -3/7 -2/5 1/1 -1/3 10/9 -1/2 -1/3 9/8 -1/3 0/1 8/7 0/1 23/20 0/1 1/1 15/13 -1/1 -1/3 7/6 -1/1 -1/2 20/17 -1/3 0/1 13/11 0/1 32/27 -4/3 -1/1 19/16 -1/2 6/5 -1/3 0/1 11/9 -1/2 27/22 -1/3 0/1 16/13 -1/2 -1/3 37/30 -1/2 -1/3 21/17 -1/3 5/4 -1/2 29/23 -3/7 -7/17 24/19 -11/27 -2/5 67/53 -2/5 43/34 -2/5 -17/43 19/15 -1/3 52/41 -2/5 33/26 -2/5 -1/3 14/11 -2/5 51/40 -7/18 -5/13 37/29 -5/13 23/18 -11/29 -3/8 32/25 -4/11 9/7 -7/19 -1/3 31/24 -5/14 22/17 -6/17 35/27 -1/3 13/10 -10/29 -1/3 17/13 -1/3 21/16 -1/3 -16/49 4/3 -1/3 -3/10 19/14 -5/18 53/39 -37/135 -3/11 87/64 -59/216 -3/11 121/89 -3/11 34/25 -3/11 -22/81 49/36 -7/26 15/11 -5/19 26/19 -1/4 11/8 -1/3 -1/4 51/37 -3/13 -1/5 40/29 0/1 69/50 -1/3 0/1 29/21 -1/3 76/55 -1/3 -2/7 47/34 -1/4 18/13 -1/3 -1/4 43/31 -1/3 25/18 -1/3 0/1 7/5 -1/4 24/17 -5/23 -3/14 41/29 -1/5 17/12 -1/4 -1/5 44/31 0/1 71/50 -1/3 0/1 27/19 -1/3 10/7 -2/9 -1/5 33/23 -1/5 -5/27 56/39 -2/11 23/16 -1/6 82/57 -1/7 -1/8 59/41 0/1 36/25 -2/9 -1/5 49/34 -2/11 -3/17 13/9 -1/7 16/11 0/1 3/2 0/1 20/13 0/1 37/24 0/1 1/1 17/11 -1/1 1/1 31/20 -1/2 14/9 0/1 1/1 53/34 1/0 39/25 1/1 3/1 25/16 -3/1 1/0 61/39 -2/1 97/62 -3/2 36/23 -1/1 0/1 47/30 -3/1 -2/1 11/7 -1/1 30/19 -2/3 -3/5 49/31 -1/2 19/12 -1/1 -3/4 65/41 -5/7 46/29 -2/3 27/17 -1/1 -3/5 8/5 -3/5 -1/2 37/23 -1/2 66/41 -1/2 -25/51 29/18 -1/2 -11/23 21/13 -5/11 55/34 -3/7 -17/40 34/21 -2/5 47/29 -5/13 -1/3 13/8 -1/2 57/35 -3/7 -7/17 44/27 -2/5 -1/3 31/19 -1/3 49/30 -1/2 -1/3 18/11 -1/2 -1/3 23/14 -1/3 0/1 74/45 -1/1 -4/5 51/31 -3/5 28/17 -1/2 5/3 -3/7 -1/3 22/13 -3/8 83/49 -4/11 61/36 -6/17 -1/3 39/23 -1/3 95/56 -5/13 -3/8 151/89 -3/8 56/33 -3/8 -1/3 17/10 -3/8 46/27 -5/14 -1/3 75/44 -4/11 -1/3 29/17 -1/3 12/7 -7/20 -1/3 19/11 -1/3 26/15 -1/3 -15/46 7/4 -1/3 -4/13 30/17 -1/3 -3/10 23/13 -2/7 62/35 -1/3 -2/7 39/22 -1/3 -2/7 55/31 -1/3 16/9 -2/7 57/32 -3/11 -1/4 98/55 -2/7 41/23 -7/25 -3/11 25/14 -1/4 59/33 -7/25 -3/11 34/19 -5/19 -1/4 77/43 -1/4 43/24 -1/4 -3/13 9/5 -1/3 38/21 -2/7 -3/11 29/16 -1/4 49/27 -1/3 -1/5 20/11 -1/3 -1/4 11/6 -1/3 -2/7 24/13 -4/15 -5/19 37/20 -1/4 13/7 -1/4 28/15 -5/21 -4/17 15/8 -4/17 -3/13 17/9 -5/23 2/1 0/1 17/8 -2/3 15/7 -3/5 28/13 -11/21 -1/2 41/19 -1/2 13/6 -1/2 -5/11 37/17 -3/7 61/28 -3/7 -5/12 24/11 -2/5 11/5 -1/1 -1/3 42/19 -1/1 -2/3 31/14 -1/2 51/23 -1/3 20/9 -1/2 -1/3 9/4 -1/2 -3/7 34/15 -2/5 -1/3 25/11 -2/5 66/29 -2/5 41/18 -2/5 -1/3 57/25 -1/3 73/32 -2/5 16/7 -2/5 -1/3 7/3 -1/3 26/11 -1/3 -4/13 45/19 -1/3 -5/17 64/27 -1/3 -3/10 83/35 -1/3 19/8 -3/10 69/29 -9/31 119/50 -25/87 -2/7 50/21 -2/7 -7/25 31/13 -1/3 -5/17 74/31 -2/7 117/49 -1/3 43/18 -1/3 -2/7 55/23 -1/3 12/5 -2/7 -3/11 41/17 -1/3 70/29 -2/7 99/41 -2/7 29/12 -1/3 -1/4 46/19 -2/7 63/26 -3/11 -13/48 17/7 -1/4 39/16 -1/4 61/25 -1/3 22/9 -1/3 -1/4 5/2 -1/3 -1/4 43/17 -1/4 38/15 -1/4 -7/29 33/13 -3/13 28/11 -2/9 51/20 -1/7 0/1 23/9 -1/3 -1/5 87/34 -1/3 0/1 151/59 -1/3 64/25 -1/3 -1/4 105/41 -1/3 41/16 -1/4 59/23 -3/13 18/7 -1/4 49/19 -3/13 -7/31 80/31 -2/9 31/12 -2/9 -5/23 44/17 -4/19 -1/5 101/39 -2/9 57/22 -5/23 -3/14 13/5 -1/5 34/13 -1/6 -1/7 55/21 -1/5 -1/7 131/50 -1/7 0/1 76/29 0/1 21/8 -1/4 -1/5 50/19 -2/11 29/11 -1/6 8/3 -1/7 0/1 51/19 -1/7 43/16 -1/7 0/1 78/29 -1/6 -1/7 35/13 0/1 62/23 -1/6 89/33 -1/7 27/10 -1/7 -2/15 46/17 -2/17 65/24 -1/9 -7/64 19/7 -1/11 11/4 0/1 25/9 1/5 14/5 1/2 1/1 59/21 0/1 45/16 0/1 1/1 31/11 1/1 17/6 0/1 1/1 20/7 0/1 43/15 1/1 66/23 1/1 1/0 89/31 1/0 23/8 -1/1 1/0 26/9 0/1 3/1 -1/1 -1/3 25/8 -1/2 22/7 -1/2 -1/3 41/13 -1/3 19/6 -1/2 16/5 -2/5 61/19 -2/5 45/14 -2/5 -1/3 29/9 -1/3 13/4 -4/11 -1/3 23/7 -1/3 33/10 -1/3 -10/31 10/3 -1/3 -3/10 57/17 -1/3 47/14 -1/3 -2/7 37/11 -2/7 64/19 -1/3 0/1 27/8 -2/7 71/21 -19/69 -3/11 186/55 -50/183 -3/11 301/89 -3/11 115/34 -3/11 -31/114 44/13 -4/15 61/18 -9/35 -1/4 139/41 -1/4 78/23 -1/4 -7/29 17/5 -1/3 75/22 -4/15 -5/19 58/17 -1/4 41/12 -1/3 -1/4 24/7 -1/3 -1/4 31/9 -1/4 7/2 -1/4 39/11 -1/5 32/9 -3/17 -1/6 57/16 -1/5 -1/6 25/7 -1/5 -1/7 118/33 -1/6 -1/7 211/59 -1/7 93/26 -1/7 0/1 68/19 0/1 43/12 0/1 18/5 -1/7 0/1 47/13 0/1 76/21 0/1 1/9 29/8 0/1 1/1 11/3 -1/3 59/16 -1/4 48/13 -1/5 0/1 85/23 0/1 37/10 -1/5 -1/6 63/17 0/1 26/7 0/1 15/4 -1/3 -1/4 79/21 0/1 64/17 0/1 49/13 -1/3 34/9 -1/5 0/1 19/5 -1/4 23/6 -5/24 -1/5 4/1 0/1 25/6 -5/4 -1/1 46/11 -4/5 21/5 -3/5 17/4 -1/2 81/19 -2/5 64/15 -3/8 -1/3 47/11 -1/3 77/18 -2/5 30/7 -4/11 -1/3 13/3 -1/3 -1/5 61/14 -1/4 48/11 -2/9 -1/5 35/8 -1/3 0/1 22/5 0/1 31/7 -1/7 40/9 -1/15 0/1 49/11 0/1 58/13 0/1 1/17 9/2 0/1 1/1 50/11 -2/1 -1/1 41/9 -1/1 32/7 -2/3 55/12 -1/2 -1/3 23/5 -1/1 -1/3 60/13 -3/5 -1/2 37/8 -1/2 51/11 -1/3 14/3 -1/1 0/1 33/7 -1/2 52/11 -4/9 19/4 -1/3 0/1 24/5 -1/2 -1/3 5/1 -1/3 26/5 -1/3 -1/4 47/9 -1/3 -1/5 21/4 -1/4 16/3 -1/4 -3/13 43/8 -1/6 27/5 -1/3 -1/5 38/7 0/1 11/2 -1/4 -1/5 50/9 -1/5 0/1 39/7 -1/7 28/5 0/1 45/8 -1/7 -1/8 17/3 0/1 40/7 1/2 1/1 23/4 1/0 6/1 -1/3 -1/4 25/4 -1/5 -3/16 19/3 -1/7 13/2 0/1 33/5 1/1 53/8 0/1 1/1 20/3 0/1 1/1 7/1 -1/1 -1/3 22/3 -1/4 15/2 -1/7 0/1 53/7 0/1 38/5 0/1 1/7 23/3 1/1 8/1 0/1 17/2 -1/2 -1/3 9/1 -1/3 10/1 -1/3 0/1 11/1 0/1 1/0 -1/3 0/1 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(1253,592,908,429) (-1/2,-8/17) -> (40/29,69/50) Hyperbolic Matrix(2033,952,788,369) (-8/17,-7/15) -> (49/19,80/31) Hyperbolic Matrix(339,158,-1238,-577) (-7/15,-13/28) -> (-17/62,-3/11) Hyperbolic Matrix(225,104,556,257) (-13/28,-6/13) -> (2/5,13/32) Hyperbolic Matrix(335,154,1886,867) (-6/13,-17/37) -> (3/17,8/45) Hyperbolic Matrix(2881,1322,778,357) (-17/37,-11/24) -> (37/10,63/17) Hyperbolic Matrix(2763,1264,776,355) (-11/24,-16/35) -> (32/9,57/16) Hyperbolic Matrix(661,302,1438,657) (-16/35,-5/11) -> (17/37,6/13) Hyperbolic Matrix(1975,894,-5154,-2333) (-5/11,-19/42) -> (-23/60,-41/107) Hyperbolic Matrix(1641,742,878,397) (-19/42,-14/31) -> (28/15,15/8) Hyperbolic Matrix(873,394,986,445) (-14/31,-23/51) -> (15/17,8/9) Hyperbolic Matrix(3061,1380,1200,541) (-23/51,-9/20) -> (51/20,23/9) Hyperbolic Matrix(869,390,2070,929) (-9/20,-13/29) -> (13/31,21/50) Hyperbolic Matrix(1409,630,870,389) (-13/29,-4/9) -> (34/21,47/29) Hyperbolic Matrix(1825,806,754,333) (-4/9,-15/34) -> (29/12,46/19) Hyperbolic Matrix(753,332,-2792,-1231) (-15/34,-11/25) -> (-17/63,-7/26) Hyperbolic Matrix(323,142,-1822,-801) (-11/25,-18/41) -> (-8/45,-3/17) Hyperbolic Matrix(1495,656,964,423) (-18/41,-7/16) -> (31/20,14/9) Hyperbolic Matrix(531,232,428,187) (-7/16,-17/39) -> (21/17,5/4) Hyperbolic Matrix(1593,694,746,325) (-17/39,-27/62) -> (17/8,15/7) Hyperbolic Matrix(6059,2638,7862,3423) (-27/62,-37/85) -> (47/61,37/48) Hyperbolic Matrix(7435,3236,2764,1203) (-37/85,-10/23) -> (78/29,35/13) Hyperbolic Matrix(1059,460,320,139) (-10/23,-13/30) -> (33/10,10/3) Hyperbolic Matrix(739,320,1060,459) (-13/30,-3/7) -> (23/33,7/10) Hyperbolic Matrix(937,398,1462,621) (-3/7,-14/33) -> (16/25,25/39) Hyperbolic Matrix(835,354,-2814,-1193) (-14/33,-11/26) -> (-19/64,-8/27) Hyperbolic Matrix(1141,482,-3842,-1623) (-11/26,-19/45) -> (-11/37,-19/64) Hyperbolic Matrix(1763,744,936,395) (-19/45,-27/64) -> (15/8,17/9) Hyperbolic Matrix(10375,4376,6124,2583) (-27/64,-35/83) -> (83/49,61/36) Hyperbolic Matrix(1039,438,102,43) (-35/83,-8/19) -> (10/1,11/1) Hyperbolic Matrix(1139,478,722,303) (-8/19,-13/31) -> (11/7,30/19) Hyperbolic Matrix(2271,952,1448,607) (-13/31,-31/74) -> (47/30,11/7) Hyperbolic Matrix(2273,952,308,129) (-31/74,-18/43) -> (22/3,15/2) Hyperbolic Matrix(1343,562,4538,1899) (-18/43,-23/55) -> (21/71,8/27) Hyperbolic Matrix(3301,1380,720,301) (-23/55,-5/12) -> (55/12,23/5) Hyperbolic Matrix(2153,894,1746,725) (-5/12,-22/53) -> (16/13,37/30) Hyperbolic Matrix(4309,1788,6972,2893) (-22/53,-17/41) -> (55/89,34/55) Hyperbolic Matrix(1945,806,514,213) (-17/41,-12/29) -> (34/9,19/5) Hyperbolic Matrix(513,212,2248,929) (-12/29,-19/46) -> (5/22,8/35) Hyperbolic Matrix(713,294,-1734,-715) (-19/46,-7/17) -> (-7/17,-23/56) Parabolic Matrix(2851,1170,1830,751) (-23/56,-16/39) -> (14/9,53/34) Hyperbolic Matrix(713,292,608,249) (-16/39,-9/22) -> (7/6,20/17) Hyperbolic Matrix(813,332,2128,869) (-9/22,-11/27) -> (21/55,13/34) Hyperbolic Matrix(909,370,710,289) (-11/27,-2/5) -> (32/25,9/7) Hyperbolic Matrix(1881,742,398,157) (-2/5,-13/33) -> (33/7,52/11) Hyperbolic Matrix(691,272,1288,507) (-13/33,-11/28) -> (15/28,7/13) Hyperbolic Matrix(1779,698,1282,503) (-11/28,-9/23) -> (43/31,25/18) Hyperbolic Matrix(1085,424,2756,1077) (-9/23,-25/64) -> (11/28,13/33) Hyperbolic Matrix(4527,1768,3152,1231) (-25/64,-16/41) -> (56/39,23/16) Hyperbolic Matrix(493,192,588,229) (-16/41,-7/18) -> (5/6,16/19) Hyperbolic Matrix(685,266,394,153) (-7/18,-12/31) -> (26/15,7/4) Hyperbolic Matrix(393,152,-2252,-871) (-12/31,-17/44) -> (-7/40,-4/23) Hyperbolic Matrix(5571,2152,2348,907) (-17/44,-39/101) -> (83/35,19/8) Hyperbolic Matrix(11335,4376,4204,1623) (-39/101,-22/57) -> (62/23,89/33) Hyperbolic Matrix(685,264,96,37) (-22/57,-5/13) -> (7/1,22/3) Hyperbolic Matrix(99,38,-878,-337) (-5/13,-23/60) -> (-3/26,-1/9) Hyperbolic Matrix(4281,1640,1360,521) (-41/107,-18/47) -> (22/7,41/13) Hyperbolic Matrix(2821,1080,2040,781) (-18/47,-13/34) -> (47/34,18/13) Hyperbolic Matrix(1649,630,390,149) (-13/34,-21/55) -> (21/5,17/4) Hyperbolic Matrix(1263,482,-4562,-1741) (-21/55,-8/21) -> (-18/65,-13/47) Hyperbolic Matrix(1259,478,482,183) (-8/21,-11/29) -> (13/5,34/13) Hyperbolic Matrix(581,220,1640,621) (-11/29,-14/37) -> (6/17,11/31) Hyperbolic Matrix(1735,656,484,183) (-14/37,-3/8) -> (43/12,18/5) Hyperbolic Matrix(2393,892,668,249) (-3/8,-16/43) -> (68/19,43/12) Hyperbolic Matrix(1527,568,3632,1351) (-16/43,-13/35) -> (29/69,8/19) Hyperbolic Matrix(383,142,1238,459) (-13/35,-10/27) -> (4/13,9/29) Hyperbolic Matrix(477,176,664,245) (-10/27,-7/19) -> (5/7,18/25) Hyperbolic Matrix(473,174,666,245) (-7/19,-11/30) -> (17/24,5/7) Hyperbolic Matrix(475,174,-2274,-833) (-11/30,-15/41) -> (-9/43,-5/24) Hyperbolic Matrix(2461,900,3120,1141) (-15/41,-19/52) -> (41/52,15/19) Hyperbolic Matrix(471,172,2648,967) (-19/52,-4/11) -> (8/45,5/28) Hyperbolic Matrix(375,136,284,103) (-4/11,-13/36) -> (21/16,4/3) Hyperbolic Matrix(283,102,1218,439) (-13/36,-9/25) -> (3/13,7/30) Hyperbolic Matrix(1029,370,470,169) (-9/25,-14/39) -> (24/11,11/5) Hyperbolic Matrix(2993,1074,1686,605) (-14/39,-19/53) -> (55/31,16/9) Hyperbolic Matrix(95,34,746,267) (-19/53,-5/14) -> (1/8,3/23) Hyperbolic Matrix(651,232,188,67) (-5/14,-11/31) -> (31/9,7/2) Hyperbolic Matrix(1763,624,1116,395) (-11/31,-6/17) -> (30/19,49/31) Hyperbolic Matrix(833,292,368,129) (-6/17,-7/20) -> (9/4,34/15) Hyperbolic Matrix(1013,354,186,65) (-7/20,-8/23) -> (38/7,11/2) Hyperbolic Matrix(457,158,1102,381) (-8/23,-1/3) -> (17/41,22/53) Hyperbolic Matrix(1233,394,266,85) (-1/3,-7/22) -> (37/8,51/11) Hyperbolic Matrix(2023,642,438,139) (-7/22,-6/19) -> (60/13,37/8) Hyperbolic Matrix(613,192,348,109) (-6/19,-5/16) -> (7/4,30/17) Hyperbolic Matrix(959,298,782,243) (-5/16,-9/29) -> (11/9,27/22) Hyperbolic Matrix(1827,566,694,215) (-9/29,-4/13) -> (50/19,29/11) Hyperbolic Matrix(691,212,88,27) (-4/13,-15/49) -> (23/3,8/1) Hyperbolic Matrix(2941,900,2160,661) (-15/49,-11/36) -> (49/36,15/11) Hyperbolic Matrix(433,132,948,289) (-11/36,-7/23) -> (5/11,11/24) Hyperbolic Matrix(1119,340,260,79) (-7/23,-10/33) -> (30/7,13/3) Hyperbolic Matrix(859,260,1120,339) (-10/33,-3/10) -> (23/30,10/13) Hyperbolic Matrix(2395,714,426,127) (-3/10,-14/47) -> (28/5,45/8) Hyperbolic Matrix(2817,838,2222,661) (-14/47,-11/37) -> (19/15,52/41) Hyperbolic Matrix(597,176,424,125) (-8/27,-5/17) -> (7/5,24/17) Hyperbolic Matrix(593,174,426,125) (-5/17,-7/24) -> (25/18,7/5) Hyperbolic Matrix(1099,320,340,99) (-7/24,-9/31) -> (29/9,13/4) Hyperbolic Matrix(3211,930,1350,391) (-9/31,-11/38) -> (19/8,69/29) Hyperbolic Matrix(589,170,2110,609) (-11/38,-2/7) -> (12/43,19/68) Hyperbolic Matrix(419,118,1502,423) (-2/7,-9/32) -> (5/18,12/43) Hyperbolic Matrix(1417,398,502,141) (-9/32,-7/25) -> (31/11,17/6) Hyperbolic Matrix(415,116,1084,303) (-7/25,-5/18) -> (13/34,5/13) Hyperbolic Matrix(3073,852,1908,529) (-5/18,-18/65) -> (66/41,29/18) Hyperbolic Matrix(333,92,1408,389) (-13/47,-8/29) -> (4/17,5/21) Hyperbolic Matrix(1737,478,2402,661) (-8/29,-11/40) -> (13/18,34/47) Hyperbolic Matrix(415,114,-2814,-773) (-11/40,-14/51) -> (-4/27,-5/34) Hyperbolic Matrix(4715,1294,2066,567) (-14/51,-17/62) -> (73/32,16/7) Hyperbolic Matrix(81,22,578,157) (-3/11,-13/48) -> (3/22,1/7) Hyperbolic Matrix(8801,2382,2058,557) (-13/48,-23/85) -> (47/11,77/18) Hyperbolic Matrix(3291,890,1150,311) (-23/85,-10/37) -> (20/7,43/15) Hyperbolic Matrix(3207,866,574,155) (-10/37,-17/63) -> (39/7,28/5) Hyperbolic Matrix(573,154,986,265) (-7/26,-4/15) -> (18/31,7/12) Hyperbolic Matrix(489,130,410,109) (-4/15,-9/34) -> (19/16,6/5) Hyperbolic Matrix(2611,690,3750,991) (-9/34,-14/53) -> (16/23,39/56) Hyperbolic Matrix(2281,602,898,237) (-14/53,-5/19) -> (33/13,28/11) Hyperbolic Matrix(1055,276,1464,383) (-5/19,-6/23) -> (18/25,31/43) Hyperbolic Matrix(1055,274,566,147) (-6/23,-7/27) -> (13/7,28/15) Hyperbolic Matrix(1051,272,568,147) (-7/27,-1/4) -> (37/20,13/7) Hyperbolic Matrix(553,132,708,169) (-1/4,-5/21) -> (7/9,25/32) Hyperbolic Matrix(1649,390,630,149) (-5/21,-4/17) -> (34/13,55/21) Hyperbolic Matrix(469,110,550,129) (-4/17,-7/30) -> (17/20,6/7) Hyperbolic Matrix(233,54,-1014,-235) (-7/30,-3/13) -> (-3/13,-11/48) Parabolic Matrix(1947,446,3034,695) (-11/48,-8/35) -> (34/53,9/14) Hyperbolic Matrix(1709,390,390,89) (-8/35,-5/22) -> (35/8,22/5) Hyperbolic Matrix(389,88,1472,333) (-5/22,-7/31) -> (5/19,9/34) Hyperbolic Matrix(2633,594,1086,245) (-7/31,-9/40) -> (63/26,17/7) Hyperbolic Matrix(465,104,76,17) (-9/40,-2/9) -> (6/1,25/4) Hyperbolic Matrix(1925,424,1076,237) (-2/9,-9/41) -> (59/33,34/19) Hyperbolic Matrix(3379,740,1000,219) (-9/41,-7/32) -> (27/8,71/21) Hyperbolic Matrix(229,50,1690,369) (-7/32,-12/55) -> (2/15,3/22) Hyperbolic Matrix(3301,720,1380,301) (-12/55,-5/23) -> (55/23,12/5) Hyperbolic Matrix(535,116,844,183) (-5/23,-3/14) -> (19/30,7/11) Hyperbolic Matrix(2669,570,4350,929) (-3/14,-13/61) -> (73/119,27/44) Hyperbolic Matrix(2819,600,3660,779) (-13/61,-10/47) -> (10/13,47/61) Hyperbolic Matrix(687,146,1294,275) (-10/47,-7/33) -> (9/17,8/15) Hyperbolic Matrix(303,64,-1444,-305) (-7/33,-4/19) -> (-4/19,-9/43) Parabolic Matrix(1061,220,680,141) (-5/24,-1/5) -> (39/25,25/16) Hyperbolic Matrix(743,142,518,99) (-1/5,-4/21) -> (10/7,33/23) Hyperbolic Matrix(295,56,964,183) (-4/21,-3/16) -> (11/36,4/13) Hyperbolic Matrix(3543,662,958,179) (-3/16,-11/59) -> (85/23,37/10) Hyperbolic Matrix(4867,906,2874,535) (-11/59,-8/43) -> (22/13,83/49) Hyperbolic Matrix(3023,562,1178,219) (-8/43,-5/27) -> (59/23,18/7) Hyperbolic Matrix(295,54,366,67) (-5/27,-2/11) -> (4/5,17/21) Hyperbolic Matrix(659,118,1022,183) (-2/11,-5/28) -> (9/14,20/31) Hyperbolic Matrix(3433,612,948,169) (-5/28,-8/45) -> (76/21,29/8) Hyperbolic Matrix(365,64,2036,357) (-3/17,-7/40) -> (5/28,7/39) Hyperbolic Matrix(509,88,1232,213) (-4/23,-1/6) -> (19/46,12/29) Hyperbolic Matrix(643,102,498,79) (-1/6,-3/19) -> (9/7,31/24) Hyperbolic Matrix(1353,212,568,89) (-3/19,-2/13) -> (50/21,31/13) Hyperbolic Matrix(2193,334,1346,205) (-2/13,-5/33) -> (57/35,44/27) Hyperbolic Matrix(1059,160,920,139) (-5/33,-3/20) -> (23/20,15/13) Hyperbolic Matrix(565,84,1056,157) (-3/20,-4/27) -> (8/15,15/28) Hyperbolic Matrix(1685,246,774,113) (-5/34,-1/7) -> (37/17,61/28) Hyperbolic Matrix(905,124,416,57) (-1/7,-3/22) -> (13/6,37/17) Hyperbolic Matrix(417,56,484,65) (-3/22,-2/15) -> (6/7,19/22) Hyperbolic Matrix(1175,154,206,27) (-2/15,-3/23) -> (17/3,40/7) Hyperbolic Matrix(1171,152,208,27) (-3/23,-1/8) -> (45/8,17/3) Hyperbolic Matrix(1161,140,340,41) (-1/8,-2/17) -> (58/17,41/12) Hyperbolic Matrix(2783,324,816,95) (-2/17,-3/26) -> (75/22,58/17) Hyperbolic Matrix(335,34,266,27) (-1/9,-1/10) -> (5/4,29/23) Hyperbolic Matrix(529,50,730,69) (-1/10,0/1) -> (50/69,29/40) Hyperbolic Matrix(433,-46,706,-75) (0/1,1/9) -> (19/31,46/75) Hyperbolic Matrix(375,-46,106,-13) (1/9,1/8) -> (7/2,39/11) Hyperbolic Matrix(1219,-160,160,-21) (3/23,2/15) -> (38/5,23/3) Hyperbolic Matrix(261,-38,158,-23) (1/7,2/13) -> (28/17,5/3) Hyperbolic Matrix(1195,-186,726,-113) (2/13,3/19) -> (51/31,28/17) Hyperbolic Matrix(829,-132,672,-107) (3/19,1/6) -> (37/30,21/17) Hyperbolic Matrix(153,-26,206,-35) (1/6,3/17) -> (17/23,3/4) Hyperbolic Matrix(1017,-184,304,-55) (7/39,2/11) -> (10/3,57/17) Hyperbolic Matrix(1873,-346,406,-75) (2/11,5/27) -> (23/5,60/13) Hyperbolic Matrix(1113,-208,808,-151) (5/27,3/16) -> (11/8,51/37) Hyperbolic Matrix(707,-134,554,-105) (3/16,1/5) -> (37/29,23/18) Hyperbolic Matrix(545,-114,894,-187) (1/5,4/19) -> (14/23,25/41) Hyperbolic Matrix(545,-116,296,-63) (4/19,3/14) -> (11/6,24/13) Hyperbolic Matrix(493,-106,1186,-255) (3/14,8/37) -> (22/53,5/12) Hyperbolic Matrix(1873,-406,346,-75) (8/37,5/23) -> (27/5,38/7) Hyperbolic Matrix(2463,-538,1378,-301) (5/23,7/32) -> (25/14,59/33) Hyperbolic Matrix(2855,-626,2066,-453) (7/32,2/9) -> (76/55,47/34) Hyperbolic Matrix(539,-122,782,-177) (2/9,5/22) -> (11/16,20/29) Hyperbolic Matrix(1171,-268,3028,-693) (8/35,3/13) -> (29/75,12/31) Hyperbolic Matrix(3939,-920,1460,-341) (7/30,11/47) -> (89/33,27/10) Hyperbolic Matrix(3841,-900,1020,-239) (11/47,4/17) -> (64/17,49/13) Hyperbolic Matrix(1063,-256,436,-105) (5/21,1/4) -> (39/16,61/25) Hyperbolic Matrix(809,-212,332,-87) (1/4,5/19) -> (17/7,39/16) Hyperbolic Matrix(475,-126,426,-113) (9/34,4/15) -> (10/9,9/8) Hyperbolic Matrix(567,-152,332,-89) (4/15,3/11) -> (29/17,12/7) Hyperbolic Matrix(517,-142,142,-39) (3/11,5/18) -> (29/8,11/3) Hyperbolic Matrix(5581,-1560,7080,-1979) (19/68,7/25) -> (67/85,41/52) Hyperbolic Matrix(891,-250,1030,-289) (7/25,9/32) -> (19/22,13/15) Hyperbolic Matrix(375,-106,46,-13) (9/32,2/7) -> (8/1,17/2) Hyperbolic Matrix(1347,-392,512,-149) (2/7,7/24) -> (21/8,50/19) Hyperbolic Matrix(417,-122,1022,-299) (7/24,5/17) -> (11/27,9/22) Hyperbolic Matrix(2317,-684,2964,-875) (5/17,13/44) -> (25/32,43/55) Hyperbolic Matrix(6901,-2040,11160,-3299) (13/44,21/71) -> (81/131,47/76) Hyperbolic Matrix(3239,-962,1202,-357) (8/27,11/37) -> (35/13,62/23) Hyperbolic Matrix(5133,-1528,8368,-2491) (11/37,14/47) -> (46/75,73/119) Hyperbolic Matrix(1017,-304,184,-55) (14/47,3/10) -> (11/2,50/9) Hyperbolic Matrix(323,-98,1058,-321) (3/10,7/23) -> (7/23,11/36) Parabolic Matrix(4441,-1380,2700,-839) (9/29,14/45) -> (74/45,51/31) Hyperbolic Matrix(4941,-1538,3158,-983) (14/45,5/16) -> (97/62,36/23) Hyperbolic Matrix(731,-230,410,-129) (5/16,1/3) -> (41/23,25/14) Hyperbolic Matrix(843,-296,356,-125) (1/3,6/17) -> (26/11,45/19) Hyperbolic Matrix(1949,-692,752,-267) (11/31,5/14) -> (57/22,13/5) Hyperbolic Matrix(485,-174,354,-127) (5/14,4/11) -> (26/19,11/8) Hyperbolic Matrix(659,-242,482,-177) (4/11,7/19) -> (15/11,26/19) Hyperbolic Matrix(1491,-550,2410,-889) (7/19,17/46) -> (47/76,13/21) Hyperbolic Matrix(2103,-778,1138,-421) (17/46,10/27) -> (24/13,37/20) Hyperbolic Matrix(3239,-1202,962,-357) (10/27,13/35) -> (37/11,64/19) Hyperbolic Matrix(5335,-1984,1444,-537) (13/35,16/43) -> (48/13,85/23) Hyperbolic Matrix(787,-294,174,-65) (16/43,3/8) -> (9/2,50/11) Hyperbolic Matrix(217,-82,262,-99) (3/8,8/21) -> (14/17,5/6) Hyperbolic Matrix(2129,-812,1172,-447) (8/21,21/55) -> (49/27,20/11) Hyperbolic Matrix(1949,-752,692,-267) (5/13,17/44) -> (45/16,31/11) Hyperbolic Matrix(12245,-4734,4674,-1807) (17/44,29/75) -> (55/21,131/50) Hyperbolic Matrix(691,-268,1168,-453) (12/31,7/18) -> (13/22,16/27) Hyperbolic Matrix(733,-286,346,-135) (7/18,16/41) -> (2/1,17/8) Hyperbolic Matrix(3969,-1550,950,-371) (16/41,25/64) -> (25/6,46/11) Hyperbolic Matrix(5393,-2108,3968,-1551) (25/64,9/23) -> (53/39,87/64) Hyperbolic Matrix(1895,-744,1164,-457) (9/23,11/28) -> (13/8,57/35) Hyperbolic Matrix(1419,-560,560,-221) (13/33,2/5) -> (38/15,33/13) Hyperbolic Matrix(3795,-1544,1664,-677) (13/32,11/27) -> (57/25,73/32) Hyperbolic Matrix(809,-332,212,-87) (9/22,7/17) -> (19/5,23/6) Hyperbolic Matrix(2887,-1192,4672,-1929) (7/17,19/46) -> (21/34,55/89) Hyperbolic Matrix(2587,-1072,3352,-1389) (12/29,17/41) -> (27/35,44/57) Hyperbolic Matrix(2453,-1026,1566,-655) (5/12,18/43) -> (36/23,47/30) Hyperbolic Matrix(1775,-744,804,-337) (18/43,13/31) -> (11/5,42/19) Hyperbolic Matrix(11661,-4900,4900,-2059) (21/50,29/69) -> (69/29,119/50) Hyperbolic Matrix(127,-54,294,-125) (8/19,3/7) -> (3/7,10/23) Parabolic Matrix(711,-310,250,-109) (10/23,7/16) -> (17/6,20/7) Hyperbolic Matrix(2585,-1134,1794,-787) (7/16,18/41) -> (36/25,49/34) Hyperbolic Matrix(1333,-586,1126,-495) (18/41,11/25) -> (13/11,32/27) Hyperbolic Matrix(957,-422,542,-239) (11/25,4/9) -> (30/17,23/13) Hyperbolic Matrix(331,-148,208,-93) (4/9,5/11) -> (27/17,8/5) Hyperbolic Matrix(1687,-774,534,-245) (11/24,17/37) -> (41/13,19/6) Hyperbolic Matrix(615,-286,286,-133) (6/13,7/15) -> (15/7,28/13) Hyperbolic Matrix(733,-346,286,-135) (7/15,1/2) -> (41/16,59/23) Hyperbolic Matrix(907,-474,354,-185) (1/2,9/17) -> (105/41,41/16) Hyperbolic Matrix(545,-296,116,-63) (7/13,6/11) -> (14/3,33/7) Hyperbolic Matrix(387,-212,272,-149) (6/11,5/9) -> (27/19,10/7) Hyperbolic Matrix(693,-386,386,-215) (5/9,19/34) -> (43/24,9/5) Hyperbolic Matrix(2463,-1378,538,-301) (19/34,14/25) -> (32/7,55/12) Hyperbolic Matrix(731,-410,230,-129) (14/25,9/16) -> (19/6,16/5) Hyperbolic Matrix(2455,-1384,1804,-1017) (9/16,22/39) -> (34/25,49/36) Hyperbolic Matrix(1073,-606,1266,-715) (22/39,13/23) -> (11/13,28/33) Hyperbolic Matrix(957,-542,422,-239) (13/23,4/7) -> (34/15,25/11) Hyperbolic Matrix(419,-242,722,-417) (4/7,11/19) -> (11/19,18/31) Parabolic Matrix(567,-332,152,-89) (7/12,10/17) -> (26/7,15/4) Hyperbolic Matrix(6457,-3804,3624,-2135) (10/17,33/56) -> (57/32,98/55) Hyperbolic Matrix(5889,-3472,3472,-2047) (33/56,23/39) -> (39/23,95/56) Hyperbolic Matrix(2037,-1202,2642,-1559) (23/39,13/22) -> (37/48,27/35) Hyperbolic Matrix(903,-536,716,-425) (16/27,3/5) -> (29/23,24/19) Hyperbolic Matrix(261,-158,38,-23) (3/5,14/23) -> (20/3,7/1) Hyperbolic Matrix(2757,-1682,2162,-1319) (25/41,11/18) -> (51/40,37/29) Hyperbolic Matrix(1265,-774,894,-547) (11/18,19/31) -> (41/29,17/12) Hyperbolic Matrix(1895,-1164,744,-457) (27/44,8/13) -> (28/11,51/20) Hyperbolic Matrix(1151,-710,890,-549) (8/13,21/34) -> (31/24,22/17) Hyperbolic Matrix(16833,-10408,4708,-2911) (34/55,81/131) -> (25/7,118/33) Hyperbolic Matrix(777,-482,482,-299) (13/21,5/8) -> (29/18,21/13) Hyperbolic Matrix(331,-208,148,-93) (5/8,12/19) -> (20/9,9/4) Hyperbolic Matrix(993,-628,808,-511) (12/19,19/30) -> (27/22,16/13) Hyperbolic Matrix(2453,-1566,1026,-655) (7/11,23/36) -> (43/18,55/23) Hyperbolic Matrix(4941,-3158,1538,-983) (23/36,39/61) -> (61/19,45/14) Hyperbolic Matrix(6477,-4142,4502,-2879) (39/61,16/25) -> (82/57,59/41) Hyperbolic Matrix(5995,-3844,3364,-2157) (25/39,34/53) -> (98/55,41/23) Hyperbolic Matrix(2261,-1460,1640,-1059) (20/31,11/17) -> (51/37,40/29) Hyperbolic Matrix(73,-48,108,-71) (11/17,2/3) -> (2/3,13/19) Parabolic Matrix(1209,-830,890,-611) (13/19,11/16) -> (19/14,53/39) Hyperbolic Matrix(1419,-980,320,-221) (20/29,9/13) -> (31/7,40/9) Hyperbolic Matrix(2585,-1794,1134,-787) (9/13,25/36) -> (41/18,57/25) Hyperbolic Matrix(4779,-3320,1700,-1181) (25/36,41/59) -> (59/21,45/16) Hyperbolic Matrix(6407,-4454,2654,-1845) (41/59,16/23) -> (70/29,99/41) Hyperbolic Matrix(3325,-2316,636,-443) (39/56,23/33) -> (47/9,21/4) Hyperbolic Matrix(387,-272,212,-149) (7/10,12/17) -> (20/11,11/6) Hyperbolic Matrix(1265,-894,774,-547) (12/17,17/24) -> (49/30,18/11) Hyperbolic Matrix(1987,-1434,1254,-905) (31/43,13/18) -> (19/12,65/41) Hyperbolic Matrix(2855,-2066,626,-453) (34/47,21/29) -> (41/9,32/7) Hyperbolic Matrix(4279,-3100,940,-681) (21/29,50/69) -> (50/11,41/9) Hyperbolic Matrix(1113,-808,208,-151) (29/40,8/11) -> (16/3,43/8) Hyperbolic Matrix(485,-354,174,-127) (8/11,11/15) -> (25/9,14/5) Hyperbolic Matrix(2455,-1804,1384,-1017) (11/15,25/34) -> (39/22,55/31) Hyperbolic Matrix(1383,-1018,898,-661) (25/34,14/19) -> (20/13,37/24) Hyperbolic Matrix(1795,-1324,484,-357) (14/19,17/23) -> (63/17,26/7) Hyperbolic Matrix(443,-338,578,-441) (3/4,13/17) -> (13/17,23/30) Parabolic Matrix(3115,-2406,2166,-1673) (44/57,17/22) -> (23/16,82/57) Hyperbolic Matrix(1151,-890,710,-549) (17/22,7/9) -> (47/29,13/8) Hyperbolic Matrix(4681,-3660,1380,-1079) (43/55,18/23) -> (78/23,17/5) Hyperbolic Matrix(707,-554,134,-105) (18/23,11/14) -> (21/4,16/3) Hyperbolic Matrix(1075,-846,906,-713) (11/14,26/33) -> (32/27,19/16) Hyperbolic Matrix(18153,-14308,5368,-4231) (26/33,67/85) -> (71/21,186/55) Hyperbolic Matrix(1273,-1006,1006,-795) (15/19,19/24) -> (43/34,19/15) Hyperbolic Matrix(2075,-1644,804,-637) (19/24,4/5) -> (80/31,31/12) Hyperbolic Matrix(829,-672,132,-107) (17/21,13/16) -> (25/4,19/3) Hyperbolic Matrix(993,-808,628,-511) (13/16,9/11) -> (49/31,19/12) Hyperbolic Matrix(791,-650,230,-189) (9/11,14/17) -> (24/7,31/9) Hyperbolic Matrix(1333,-1126,586,-495) (16/19,11/13) -> (25/11,66/29) Hyperbolic Matrix(2239,-1902,1362,-1157) (28/33,17/20) -> (23/14,74/45) Hyperbolic Matrix(225,-196,256,-223) (13/15,7/8) -> (7/8,15/17) Parabolic Matrix(475,-426,126,-113) (8/9,1/1) -> (49/13,34/9) Hyperbolic Matrix(487,-534,114,-125) (1/1,10/9) -> (64/15,47/11) Hyperbolic Matrix(225,-256,196,-223) (9/8,8/7) -> (8/7,23/20) Parabolic Matrix(891,-1030,250,-289) (15/13,7/6) -> (57/16,25/7) Hyperbolic Matrix(1073,-1266,606,-715) (20/17,13/11) -> (23/13,62/35) Hyperbolic Matrix(217,-262,82,-99) (6/5,11/9) -> (29/11,8/3) Hyperbolic Matrix(3021,-3818,398,-503) (24/19,67/53) -> (53/7,38/5) Hyperbolic Matrix(2597,-3284,344,-435) (67/53,43/34) -> (15/2,53/7) Hyperbolic Matrix(5581,-7080,1560,-1979) (52/41,33/26) -> (93/26,68/19) Hyperbolic Matrix(2167,-2752,952,-1209) (33/26,14/11) -> (66/29,41/18) Hyperbolic Matrix(1293,-1648,448,-571) (14/11,51/40) -> (23/8,26/9) Hyperbolic Matrix(2317,-2964,684,-875) (23/18,32/25) -> (44/13,61/18) Hyperbolic Matrix(2587,-3352,1072,-1389) (22/17,35/27) -> (41/17,70/29) Hyperbolic Matrix(2037,-2642,1202,-1559) (35/27,13/10) -> (61/36,39/23) Hyperbolic Matrix(443,-578,338,-441) (13/10,17/13) -> (17/13,21/16) Parabolic Matrix(153,-206,26,-35) (4/3,19/14) -> (23/4,6/1) Hyperbolic Matrix(29499,-40102,8722,-11857) (87/64,121/89) -> (301/89,115/34) Hyperbolic Matrix(24079,-32740,7120,-9681) (121/89,34/25) -> (186/55,301/89) Hyperbolic Matrix(3453,-4766,1286,-1775) (69/50,29/21) -> (51/19,43/16) Hyperbolic Matrix(2973,-4108,1108,-1531) (29/21,76/55) -> (8/3,51/19) Hyperbolic Matrix(1283,-1778,578,-801) (18/13,43/31) -> (51/23,20/9) Hyperbolic Matrix(1591,-2248,448,-633) (24/17,41/29) -> (39/11,32/9) Hyperbolic Matrix(1563,-2216,596,-845) (17/12,44/31) -> (76/29,21/8) Hyperbolic Matrix(7861,-11160,3000,-4259) (44/31,71/50) -> (131/50,76/29) Hyperbolic Matrix(3743,-5316,1116,-1585) (71/50,27/19) -> (57/17,47/14) Hyperbolic Matrix(715,-1026,246,-353) (33/23,56/39) -> (26/9,3/1) Hyperbolic Matrix(4329,-6232,1672,-2407) (59/41,36/25) -> (44/17,101/39) Hyperbolic Matrix(1253,-1808,368,-531) (49/34,13/9) -> (17/5,75/22) Hyperbolic Matrix(539,-782,122,-177) (13/9,16/11) -> (22/5,31/7) Hyperbolic Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(1509,-2330,590,-911) (37/24,17/11) -> (23/9,87/34) Hyperbolic Matrix(1013,-1568,188,-291) (17/11,31/20) -> (43/8,27/5) Hyperbolic Matrix(727,-1134,234,-365) (53/34,39/25) -> (3/1,25/8) Hyperbolic Matrix(2715,-4244,1124,-1757) (25/16,61/39) -> (99/41,29/12) Hyperbolic Matrix(5685,-8894,1334,-2087) (61/39,97/62) -> (17/4,81/19) Hyperbolic Matrix(6427,-10192,2692,-4269) (65/41,46/29) -> (74/31,117/49) Hyperbolic Matrix(2157,-3424,904,-1435) (46/29,27/17) -> (31/13,74/31) Hyperbolic Matrix(1703,-2738,1058,-1701) (8/5,37/23) -> (37/23,66/41) Parabolic Matrix(1491,-2410,550,-889) (21/13,55/34) -> (65/24,19/7) Hyperbolic Matrix(2887,-4672,1192,-1929) (55/34,34/21) -> (46/19,63/26) Hyperbolic Matrix(433,-706,46,-75) (44/27,31/19) -> (9/1,10/1) Hyperbolic Matrix(593,-968,68,-111) (31/19,49/30) -> (17/2,9/1) Hyperbolic Matrix(545,-894,114,-187) (18/11,23/14) -> (19/4,24/5) Hyperbolic Matrix(691,-1168,268,-453) (5/3,22/13) -> (18/7,49/19) Hyperbolic Matrix(7031,-11928,2448,-4153) (95/56,151/89) -> (89/31,23/8) Hyperbolic Matrix(8811,-14950,3070,-5209) (151/89,56/33) -> (66/23,89/31) Hyperbolic Matrix(1045,-1774,334,-567) (56/33,17/10) -> (25/8,22/7) Hyperbolic Matrix(1021,-1738,178,-303) (17/10,46/27) -> (40/7,23/4) Hyperbolic Matrix(4593,-7828,1708,-2911) (46/27,75/44) -> (43/16,78/29) Hyperbolic Matrix(5879,-10022,2462,-4197) (75/44,29/17) -> (117/49,43/18) Hyperbolic Matrix(419,-722,242,-417) (12/7,19/11) -> (19/11,26/15) Parabolic Matrix(2295,-4066,346,-613) (62/35,39/22) -> (53/8,20/3) Hyperbolic Matrix(1317,-2344,604,-1075) (16/9,57/32) -> (61/28,24/11) Hyperbolic Matrix(2451,-4388,968,-1733) (34/19,77/43) -> (43/17,38/15) Hyperbolic Matrix(1247,-2234,494,-885) (77/43,43/24) -> (5/2,43/17) Hyperbolic Matrix(1069,-1932,192,-347) (9/5,38/21) -> (50/9,39/7) Hyperbolic Matrix(2049,-3710,470,-851) (38/21,29/16) -> (61/14,48/11) Hyperbolic Matrix(1855,-3366,426,-773) (29/16,49/27) -> (13/3,61/14) Hyperbolic Matrix(435,-824,104,-197) (17/9,2/1) -> (46/11,21/5) Hyperbolic Matrix(3289,-7090,970,-2091) (28/13,41/19) -> (139/41,78/23) Hyperbolic Matrix(1993,-4308,588,-1271) (41/19,13/6) -> (61/18,139/41) Hyperbolic Matrix(1793,-3966,486,-1075) (42/19,31/14) -> (59/16,48/13) Hyperbolic Matrix(1511,-3350,410,-909) (31/14,51/23) -> (11/3,59/16) Hyperbolic Matrix(127,-294,54,-125) (16/7,7/3) -> (7/3,26/11) Parabolic Matrix(1763,-4178,338,-801) (45/19,64/27) -> (26/5,47/9) Hyperbolic Matrix(3471,-8230,1210,-2869) (64/27,83/35) -> (43/15,66/23) Hyperbolic Matrix(3089,-7352,692,-1647) (119/50,50/21) -> (58/13,9/2) Hyperbolic Matrix(493,-1186,106,-255) (12/5,41/17) -> (51/11,14/3) Hyperbolic Matrix(2545,-6214,994,-2427) (61/25,22/9) -> (64/25,105/41) Hyperbolic Matrix(417,-1022,122,-299) (22/9,5/2) -> (41/12,24/7) Hyperbolic Matrix(12661,-32400,3540,-9059) (87/34,151/59) -> (211/59,93/26) Hyperbolic Matrix(12237,-31322,3422,-8759) (151/59,64/25) -> (118/33,211/59) Hyperbolic Matrix(1171,-3028,268,-693) (31/12,44/17) -> (48/11,35/8) Hyperbolic Matrix(2323,-6018,618,-1601) (101/39,57/22) -> (15/4,79/21) Hyperbolic Matrix(843,-2278,178,-481) (27/10,46/17) -> (52/11,19/4) Hyperbolic Matrix(3011,-8150,890,-2409) (46/17,65/24) -> (115/34,44/13) Hyperbolic Matrix(177,-484,64,-175) (19/7,11/4) -> (11/4,25/9) Parabolic Matrix(1749,-4910,410,-1151) (14/5,59/21) -> (81/19,64/15) Hyperbolic Matrix(1611,-5168,428,-1373) (16/5,61/19) -> (79/21,64/17) Hyperbolic Matrix(939,-3022,142,-457) (45/14,29/9) -> (33/5,53/8) Hyperbolic Matrix(323,-1058,98,-321) (13/4,23/7) -> (23/7,33/10) Parabolic Matrix(165,-554,14,-47) (47/14,37/11) -> (11/1,1/0) Hyperbolic Matrix(1703,-5738,398,-1341) (64/19,27/8) -> (77/18,30/7) Hyperbolic Matrix(1223,-4418,338,-1221) (18/5,47/13) -> (47/13,76/21) Parabolic Matrix(49,-192,12,-47) (23/6,4/1) -> (4/1,25/6) Parabolic Matrix(1079,-4802,242,-1077) (40/9,49/11) -> (49/11,58/13) Parabolic Matrix(51,-250,10,-49) (24/5,5/1) -> (5/1,26/5) Parabolic Matrix(105,-676,16,-103) (19/3,13/2) -> (13/2,33/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(1253,592,908,429) -> Matrix(1,0,-4,1) Matrix(2033,952,788,369) -> Matrix(5,-2,-22,9) Matrix(339,158,-1238,-577) -> Matrix(1,0,0,1) Matrix(225,104,556,257) -> Matrix(1,0,-4,1) Matrix(335,154,1886,867) -> Matrix(1,0,4,1) Matrix(2881,1322,778,357) -> Matrix(1,0,-8,1) Matrix(2763,1264,776,355) -> Matrix(1,0,-8,1) Matrix(661,302,1438,657) -> Matrix(7,-4,-12,7) Matrix(1975,894,-5154,-2333) -> Matrix(1,0,0,1) Matrix(1641,742,878,397) -> Matrix(1,-4,-4,17) Matrix(873,394,986,445) -> Matrix(1,-2,-2,5) Matrix(3061,1380,1200,541) -> Matrix(1,0,-4,1) Matrix(869,390,2070,929) -> Matrix(1,0,-4,1) Matrix(1409,630,870,389) -> Matrix(1,-2,-2,5) Matrix(1825,806,754,333) -> Matrix(3,-2,-10,7) Matrix(753,332,-2792,-1231) -> Matrix(1,0,0,1) Matrix(323,142,-1822,-801) -> Matrix(1,0,0,1) Matrix(1495,656,964,423) -> Matrix(1,0,-4,1) Matrix(531,232,428,187) -> Matrix(1,0,-4,1) Matrix(1593,694,746,325) -> Matrix(7,-4,-12,7) Matrix(6059,2638,7862,3423) -> Matrix(7,-6,-22,19) Matrix(7435,3236,2764,1203) -> Matrix(3,-2,-22,15) Matrix(1059,460,320,139) -> Matrix(7,-6,-22,19) Matrix(739,320,1060,459) -> Matrix(3,-4,-8,11) Matrix(937,398,1462,621) -> Matrix(1,0,0,1) Matrix(835,354,-2814,-1193) -> Matrix(13,2,6,1) Matrix(1141,482,-3842,-1623) -> Matrix(19,-2,10,-1) Matrix(1763,744,936,395) -> Matrix(13,-2,-58,9) Matrix(10375,4376,6124,2583) -> Matrix(19,-4,-52,11) Matrix(1039,438,102,43) -> Matrix(1,0,-8,1) Matrix(1139,478,722,303) -> Matrix(7,-2,-10,3) Matrix(2271,952,1448,607) -> Matrix(11,-4,-8,3) Matrix(2273,952,308,129) -> Matrix(5,-2,-22,9) Matrix(1343,562,4538,1899) -> Matrix(5,-2,-2,1) Matrix(3301,1380,720,301) -> Matrix(1,0,-4,1) Matrix(2153,894,1746,725) -> Matrix(1,0,-4,1) Matrix(4309,1788,6972,2893) -> Matrix(7,-4,-12,7) Matrix(1945,806,514,213) -> Matrix(3,-2,-10,7) Matrix(513,212,2248,929) -> Matrix(7,-4,-12,7) Matrix(713,294,-1734,-715) -> Matrix(7,-6,6,-5) Matrix(2851,1170,1830,751) -> Matrix(1,-2,2,-3) Matrix(713,292,608,249) -> Matrix(1,-2,-2,5) Matrix(813,332,2128,869) -> Matrix(1,-2,-2,5) Matrix(909,370,710,289) -> Matrix(3,-4,-8,11) Matrix(1881,742,398,157) -> Matrix(9,-4,-20,9) Matrix(691,272,1288,507) -> Matrix(7,-4,-12,7) Matrix(1779,698,1282,503) -> Matrix(3,-2,-10,7) Matrix(1085,424,2756,1077) -> Matrix(7,-4,-12,7) Matrix(4527,1768,3152,1231) -> Matrix(7,-4,-40,23) Matrix(493,192,588,229) -> Matrix(3,-2,-10,7) Matrix(685,266,394,153) -> Matrix(9,-8,-28,25) Matrix(393,152,-2252,-871) -> Matrix(3,-4,4,-5) Matrix(5571,2152,2348,907) -> Matrix(1,0,-4,1) Matrix(11335,4376,4204,1623) -> Matrix(3,-4,-20,27) Matrix(685,264,96,37) -> Matrix(1,-2,-2,5) Matrix(99,38,-878,-337) -> Matrix(1,-4,0,1) Matrix(4281,1640,1360,521) -> Matrix(1,-2,-2,5) Matrix(2821,1080,2040,781) -> Matrix(1,0,-4,1) Matrix(1649,630,390,149) -> Matrix(1,-2,-2,5) Matrix(1263,482,-4562,-1741) -> Matrix(1,-8,0,1) Matrix(1259,478,482,183) -> Matrix(1,2,-6,-11) Matrix(581,220,1640,621) -> Matrix(9,4,-16,-7) Matrix(1735,656,484,183) -> Matrix(1,0,-4,1) Matrix(2393,892,668,249) -> Matrix(1,0,-8,1) Matrix(1527,568,3632,1351) -> Matrix(1,0,-4,1) Matrix(383,142,1238,459) -> Matrix(13,-4,-16,5) Matrix(477,176,664,245) -> Matrix(9,-4,-20,9) Matrix(473,174,666,245) -> Matrix(1,0,-4,1) Matrix(475,174,-2274,-833) -> Matrix(13,-6,-2,1) Matrix(2461,900,3120,1141) -> Matrix(7,-4,-40,23) Matrix(471,172,2648,967) -> Matrix(3,-2,14,-9) Matrix(375,136,284,103) -> Matrix(7,-6,-22,19) Matrix(283,102,1218,439) -> Matrix(11,-14,-18,23) Matrix(1029,370,470,169) -> Matrix(3,-4,-8,11) Matrix(2993,1074,1686,605) -> Matrix(1,0,-4,1) Matrix(95,34,746,267) -> Matrix(3,-8,-4,11) Matrix(651,232,188,67) -> Matrix(1,0,-4,1) Matrix(1763,624,1116,395) -> Matrix(1,2,-2,-3) Matrix(833,292,368,129) -> Matrix(1,-2,-2,5) Matrix(1013,354,186,65) -> Matrix(1,0,-4,1) Matrix(457,158,1102,381) -> Matrix(1,0,-4,1) Matrix(1233,394,266,85) -> Matrix(1,-2,-2,5) Matrix(2023,642,438,139) -> Matrix(1,2,-2,-3) Matrix(613,192,348,109) -> Matrix(3,-2,-10,7) Matrix(959,298,782,243) -> Matrix(1,-2,-2,5) Matrix(1827,566,694,215) -> Matrix(1,2,-6,-11) Matrix(691,212,88,27) -> Matrix(1,0,-4,1) Matrix(2941,900,2160,661) -> Matrix(15,-4,-56,15) Matrix(433,132,948,289) -> Matrix(7,-4,-12,7) Matrix(1119,340,260,79) -> Matrix(3,-2,-10,7) Matrix(859,260,1120,339) -> Matrix(13,-12,-40,37) Matrix(2395,714,426,127) -> Matrix(1,-2,-6,13) Matrix(2817,838,2222,661) -> Matrix(3,-4,-8,11) Matrix(597,176,424,125) -> Matrix(1,-4,-4,17) Matrix(593,174,426,125) -> Matrix(1,0,-4,1) Matrix(1099,320,340,99) -> Matrix(3,-4,-8,11) Matrix(3211,930,1350,391) -> Matrix(7,-16,-24,55) Matrix(589,170,2110,609) -> Matrix(1,-4,0,1) Matrix(419,118,1502,423) -> Matrix(1,0,0,1) Matrix(1417,398,502,141) -> Matrix(1,0,0,1) Matrix(415,116,1084,303) -> Matrix(1,-2,-2,5) Matrix(3073,852,1908,529) -> Matrix(1,-14,-2,29) Matrix(333,92,1408,389) -> Matrix(1,6,-2,-11) Matrix(1737,478,2402,661) -> Matrix(7,4,-16,-9) Matrix(415,114,-2814,-773) -> Matrix(5,4,-4,-3) Matrix(4715,1294,2066,567) -> Matrix(7,2,-18,-5) Matrix(81,22,578,157) -> Matrix(1,2,-2,-3) Matrix(8801,2382,2058,557) -> Matrix(1,-2,-2,5) Matrix(3291,890,1150,311) -> Matrix(1,0,0,1) Matrix(3207,866,574,155) -> Matrix(1,0,-8,1) Matrix(573,154,986,265) -> Matrix(3,-2,-10,7) Matrix(489,130,410,109) -> Matrix(1,-2,-2,5) Matrix(2611,690,3750,991) -> Matrix(3,-4,-8,11) Matrix(2281,602,898,237) -> Matrix(1,-4,-4,17) Matrix(1055,276,1464,383) -> Matrix(1,-6,-2,13) Matrix(1055,274,566,147) -> Matrix(1,-8,-4,33) Matrix(1051,272,568,147) -> Matrix(1,4,-4,-15) Matrix(553,132,708,169) -> Matrix(1,4,-4,-15) Matrix(1649,390,630,149) -> Matrix(1,2,-6,-11) Matrix(469,110,550,129) -> Matrix(1,2,-2,-3) Matrix(233,54,-1014,-235) -> Matrix(1,2,-2,-3) Matrix(1947,446,3034,695) -> Matrix(1,0,0,1) Matrix(1709,390,390,89) -> Matrix(1,0,-4,1) Matrix(389,88,1472,333) -> Matrix(1,-2,-2,5) Matrix(2633,594,1086,245) -> Matrix(1,4,-4,-15) Matrix(465,104,76,17) -> Matrix(1,0,-4,1) Matrix(1925,424,1076,237) -> Matrix(1,4,-4,-15) Matrix(3379,740,1000,219) -> Matrix(5,2,-18,-7) Matrix(229,50,1690,369) -> Matrix(1,2,-2,-3) Matrix(3301,720,1380,301) -> Matrix(3,-2,-10,7) Matrix(535,116,844,183) -> Matrix(1,-2,-2,5) Matrix(2669,570,4350,929) -> Matrix(5,-14,-6,17) Matrix(2819,600,3660,779) -> Matrix(5,-24,-16,77) Matrix(687,146,1294,275) -> Matrix(1,-6,-2,13) Matrix(303,64,-1444,-305) -> Matrix(1,-16,0,1) Matrix(1061,220,680,141) -> Matrix(1,4,0,1) Matrix(743,142,518,99) -> Matrix(3,4,-16,-21) Matrix(295,56,964,183) -> Matrix(11,12,-12,-13) Matrix(3543,662,958,179) -> Matrix(3,2,-14,-9) Matrix(4867,906,2874,535) -> Matrix(17,10,-46,-27) Matrix(3023,562,1178,219) -> Matrix(3,2,-14,-9) Matrix(295,54,366,67) -> Matrix(1,0,0,1) Matrix(659,118,1022,183) -> Matrix(1,0,0,1) Matrix(3433,612,948,169) -> Matrix(1,0,4,1) Matrix(365,64,2036,357) -> Matrix(1,0,0,1) Matrix(509,88,1232,213) -> Matrix(1,-2,-2,5) Matrix(643,102,498,79) -> Matrix(5,14,-14,-39) Matrix(1353,212,568,89) -> Matrix(1,4,-4,-15) Matrix(2193,334,1346,205) -> Matrix(5,8,-12,-19) Matrix(1059,160,920,139) -> Matrix(1,2,-2,-3) Matrix(565,84,1056,157) -> Matrix(3,4,-4,-5) Matrix(1685,246,774,113) -> Matrix(11,14,-26,-33) Matrix(905,124,416,57) -> Matrix(7,4,-16,-9) Matrix(417,56,484,65) -> Matrix(1,0,0,1) Matrix(1175,154,206,27) -> Matrix(1,0,4,1) Matrix(1171,152,208,27) -> Matrix(1,0,-8,1) Matrix(1161,140,340,41) -> Matrix(1,0,-4,1) Matrix(2783,324,816,95) -> Matrix(1,8,-4,-31) Matrix(335,34,266,27) -> Matrix(5,8,-12,-19) Matrix(529,50,730,69) -> Matrix(17,20,-40,-47) Matrix(433,-46,706,-75) -> Matrix(5,6,-6,-7) Matrix(375,-46,106,-13) -> Matrix(5,4,-24,-19) Matrix(1219,-160,160,-21) -> Matrix(3,2,10,7) Matrix(261,-38,158,-23) -> Matrix(7,4,-16,-9) Matrix(1195,-186,726,-113) -> Matrix(9,4,-16,-7) Matrix(829,-132,672,-107) -> Matrix(1,0,0,1) Matrix(153,-26,206,-35) -> Matrix(7,2,-18,-5) Matrix(1017,-184,304,-55) -> Matrix(3,-2,-10,7) Matrix(1873,-346,406,-75) -> Matrix(1,2,-2,-3) Matrix(1113,-208,808,-151) -> Matrix(1,0,-4,1) Matrix(707,-134,554,-105) -> Matrix(3,8,-8,-21) Matrix(545,-114,894,-187) -> Matrix(5,4,-4,-3) Matrix(545,-116,296,-63) -> Matrix(11,8,-40,-29) Matrix(493,-106,1186,-255) -> Matrix(3,2,-2,-1) Matrix(1873,-406,346,-75) -> Matrix(3,2,-14,-9) Matrix(2463,-538,1378,-301) -> Matrix(11,8,-40,-29) Matrix(2855,-626,2066,-453) -> Matrix(11,8,-40,-29) Matrix(539,-122,782,-177) -> Matrix(31,20,-76,-49) Matrix(1171,-268,3028,-693) -> Matrix(3,2,-14,-9) Matrix(3939,-920,1460,-341) -> Matrix(17,10,-114,-67) Matrix(3841,-900,1020,-239) -> Matrix(7,4,-16,-9) Matrix(1063,-256,436,-105) -> Matrix(3,2,-14,-9) Matrix(809,-212,332,-87) -> Matrix(5,2,-18,-7) Matrix(475,-126,426,-113) -> Matrix(5,2,-18,-7) Matrix(567,-152,332,-89) -> Matrix(13,4,-36,-11) Matrix(517,-142,142,-39) -> Matrix(1,0,0,1) Matrix(5581,-1560,7080,-1979) -> Matrix(5,6,-26,-31) Matrix(891,-250,1030,-289) -> Matrix(1,0,0,1) Matrix(375,-106,46,-13) -> Matrix(1,0,0,1) Matrix(1347,-392,512,-149) -> Matrix(1,2,-6,-11) Matrix(417,-122,1022,-299) -> Matrix(1,0,0,1) Matrix(2317,-684,2964,-875) -> Matrix(1,4,-4,-15) Matrix(6901,-2040,11160,-3299) -> Matrix(1,6,-2,-11) Matrix(3239,-962,1202,-357) -> Matrix(1,2,-6,-11) Matrix(5133,-1528,8368,-2491) -> Matrix(7,8,-8,-9) Matrix(1017,-304,184,-55) -> Matrix(1,2,-6,-11) Matrix(323,-98,1058,-321) -> Matrix(17,18,-18,-19) Matrix(4441,-1380,2700,-839) -> Matrix(3,2,-2,-1) Matrix(4941,-1538,3158,-983) -> Matrix(7,6,-6,-5) Matrix(731,-230,410,-129) -> Matrix(11,8,-40,-29) Matrix(843,-296,356,-125) -> Matrix(13,8,-44,-27) Matrix(1949,-692,752,-267) -> Matrix(29,16,-136,-75) Matrix(485,-174,354,-127) -> Matrix(11,6,-46,-25) Matrix(659,-242,482,-177) -> Matrix(21,10,-82,-39) Matrix(1491,-550,2410,-889) -> Matrix(17,8,-32,-15) Matrix(2103,-778,1138,-421) -> Matrix(21,10,-82,-39) Matrix(3239,-1202,962,-357) -> Matrix(13,6,-50,-23) Matrix(5335,-1984,1444,-537) -> Matrix(9,4,-52,-23) Matrix(787,-294,174,-65) -> Matrix(5,2,2,1) Matrix(217,-82,262,-99) -> Matrix(1,0,0,1) Matrix(2129,-812,1172,-447) -> Matrix(5,2,-18,-7) Matrix(1949,-752,692,-267) -> Matrix(1,0,4,1) Matrix(12245,-4734,4674,-1807) -> Matrix(1,0,-4,1) Matrix(691,-268,1168,-453) -> Matrix(1,0,0,1) Matrix(733,-286,346,-135) -> Matrix(1,2,-2,-3) Matrix(3969,-1550,950,-371) -> Matrix(5,6,-6,-7) Matrix(5393,-2108,3968,-1551) -> Matrix(29,26,-106,-95) Matrix(1895,-744,1164,-457) -> Matrix(7,4,-16,-9) Matrix(1419,-560,560,-221) -> Matrix(11,6,-46,-25) Matrix(3795,-1544,1664,-677) -> Matrix(1,-2,-2,5) Matrix(809,-332,212,-87) -> Matrix(3,2,-14,-9) Matrix(2887,-1192,4672,-1929) -> Matrix(9,4,-16,-7) Matrix(2587,-1072,3352,-1389) -> Matrix(11,4,-36,-13) Matrix(2453,-1026,1566,-655) -> Matrix(3,2,-2,-1) Matrix(1775,-744,804,-337) -> Matrix(1,0,0,1) Matrix(11661,-4900,4900,-2059) -> Matrix(11,-2,-38,7) Matrix(127,-54,294,-125) -> Matrix(1,2,-2,-3) Matrix(711,-310,250,-109) -> Matrix(3,2,-2,-1) Matrix(2585,-1134,1794,-787) -> Matrix(1,0,-4,1) Matrix(1333,-586,1126,-495) -> Matrix(3,2,-2,-1) Matrix(957,-422,542,-239) -> Matrix(13,8,-44,-27) Matrix(331,-148,208,-93) -> Matrix(1,0,0,1) Matrix(1687,-774,534,-245) -> Matrix(7,4,-16,-9) Matrix(615,-286,286,-133) -> Matrix(9,4,-16,-7) Matrix(733,-346,286,-135) -> Matrix(3,2,-14,-9) Matrix(907,-474,354,-185) -> Matrix(5,2,-18,-7) Matrix(545,-296,116,-63) -> Matrix(9,4,-16,-7) Matrix(387,-212,272,-149) -> Matrix(5,2,-18,-7) Matrix(693,-386,386,-215) -> Matrix(5,2,-18,-7) Matrix(2463,-1378,538,-301) -> Matrix(9,4,-16,-7) Matrix(731,-410,230,-129) -> Matrix(1,0,0,1) Matrix(2455,-1384,1804,-1017) -> Matrix(55,24,-204,-89) Matrix(1073,-606,1266,-715) -> Matrix(5,2,2,1) Matrix(957,-542,422,-239) -> Matrix(1,0,0,1) Matrix(419,-242,722,-417) -> Matrix(17,6,-54,-19) Matrix(567,-332,152,-89) -> Matrix(1,0,0,1) Matrix(6457,-3804,3624,-2135) -> Matrix(5,2,-18,-7) Matrix(5889,-3472,3472,-2047) -> Matrix(7,2,-18,-5) Matrix(2037,-1202,2642,-1559) -> Matrix(11,4,-36,-13) Matrix(903,-536,716,-425) -> Matrix(1,-2,-2,5) Matrix(261,-158,38,-23) -> Matrix(1,0,0,1) Matrix(2757,-1682,2162,-1319) -> Matrix(7,2,-18,-5) Matrix(1265,-774,894,-547) -> Matrix(1,0,-4,1) Matrix(1895,-1164,744,-457) -> Matrix(5,4,-24,-19) Matrix(1151,-710,890,-549) -> Matrix(27,16,-76,-45) Matrix(16833,-10408,4708,-2911) -> Matrix(7,4,-44,-25) Matrix(777,-482,482,-299) -> Matrix(15,8,-32,-17) Matrix(331,-208,148,-93) -> Matrix(1,0,0,1) Matrix(993,-628,808,-511) -> Matrix(1,0,0,1) Matrix(2453,-1566,1026,-655) -> Matrix(5,2,-18,-7) Matrix(4941,-3158,1538,-983) -> Matrix(7,2,-18,-5) Matrix(6477,-4142,4502,-2879) -> Matrix(1,0,-4,1) Matrix(5995,-3844,3364,-2157) -> Matrix(5,2,-18,-7) Matrix(2261,-1460,1640,-1059) -> Matrix(1,0,-4,1) Matrix(73,-48,108,-71) -> Matrix(7,4,-16,-9) Matrix(1209,-830,890,-611) -> Matrix(71,30,-258,-109) Matrix(1419,-980,320,-221) -> Matrix(5,2,-38,-15) Matrix(2585,-1794,1134,-787) -> Matrix(1,0,0,1) Matrix(4779,-3320,1700,-1181) -> Matrix(5,2,2,1) Matrix(6407,-4454,2654,-1845) -> Matrix(11,4,-36,-13) Matrix(3325,-2316,636,-443) -> Matrix(11,4,-36,-13) Matrix(387,-272,212,-149) -> Matrix(5,2,-18,-7) Matrix(1265,-894,774,-547) -> Matrix(1,0,0,1) Matrix(1987,-1434,1254,-905) -> Matrix(23,10,-30,-13) Matrix(2855,-2066,626,-453) -> Matrix(37,16,-44,-19) Matrix(4279,-3100,940,-681) -> Matrix(61,26,-54,-23) Matrix(1113,-808,208,-151) -> Matrix(19,8,-88,-37) Matrix(485,-354,174,-127) -> Matrix(5,2,22,9) Matrix(2455,-1804,1384,-1017) -> Matrix(11,4,-36,-13) Matrix(1383,-1018,898,-661) -> Matrix(5,2,2,1) Matrix(1795,-1324,484,-357) -> Matrix(5,2,-18,-7) Matrix(443,-338,578,-441) -> Matrix(53,18,-162,-55) Matrix(3115,-2406,2166,-1673) -> Matrix(13,4,-88,-27) Matrix(1151,-890,710,-549) -> Matrix(13,4,-36,-11) Matrix(4681,-3660,1380,-1079) -> Matrix(15,4,-64,-17) Matrix(707,-554,134,-105) -> Matrix(1,0,0,1) Matrix(1075,-846,906,-713) -> Matrix(9,2,-14,-3) Matrix(18153,-14308,5368,-4231) -> Matrix(163,32,-596,-117) Matrix(1273,-1006,1006,-795) -> Matrix(15,2,-38,-5) Matrix(2075,-1644,804,-637) -> Matrix(3,2,-14,-9) Matrix(829,-672,132,-107) -> Matrix(1,0,-4,1) Matrix(993,-808,628,-511) -> Matrix(1,0,0,1) Matrix(791,-650,230,-189) -> Matrix(5,2,-18,-7) Matrix(1333,-1126,586,-495) -> Matrix(7,2,-18,-5) Matrix(2239,-1902,1362,-1157) -> Matrix(1,0,0,1) Matrix(225,-196,256,-223) -> Matrix(7,4,-16,-9) Matrix(475,-426,126,-113) -> Matrix(5,2,-18,-7) Matrix(487,-534,114,-125) -> Matrix(7,2,-18,-5) Matrix(225,-256,196,-223) -> Matrix(1,0,4,1) Matrix(891,-1030,250,-289) -> Matrix(1,0,-4,1) Matrix(1073,-1266,606,-715) -> Matrix(5,2,-18,-7) Matrix(217,-262,82,-99) -> Matrix(1,0,-4,1) Matrix(3021,-3818,398,-503) -> Matrix(5,2,62,25) Matrix(2597,-3284,344,-435) -> Matrix(5,2,-78,-31) Matrix(5581,-7080,1560,-1979) -> Matrix(5,2,-38,-15) Matrix(2167,-2752,952,-1209) -> Matrix(1,0,0,1) Matrix(1293,-1648,448,-571) -> Matrix(5,2,-18,-7) Matrix(2317,-2964,684,-875) -> Matrix(43,16,-164,-61) Matrix(2587,-3352,1072,-1389) -> Matrix(23,8,-72,-25) Matrix(2037,-2642,1202,-1559) -> Matrix(11,4,-36,-13) Matrix(443,-578,338,-441) -> Matrix(77,26,-234,-79) Matrix(153,-206,26,-35) -> Matrix(7,2,-18,-5) Matrix(29499,-40102,8722,-11857) -> Matrix(989,270,-3630,-991) Matrix(24079,-32740,7120,-9681) -> Matrix(793,216,-2904,-791) Matrix(3453,-4766,1286,-1775) -> Matrix(1,0,-4,1) Matrix(2973,-4108,1108,-1531) -> Matrix(7,2,-46,-13) Matrix(1283,-1778,578,-801) -> Matrix(7,2,-18,-5) Matrix(1591,-2248,448,-633) -> Matrix(19,4,-100,-21) Matrix(1563,-2216,596,-845) -> Matrix(1,0,0,1) Matrix(7861,-11160,3000,-4259) -> Matrix(1,0,-4,1) Matrix(3743,-5316,1116,-1585) -> Matrix(5,2,-18,-7) Matrix(715,-1026,246,-353) -> Matrix(11,2,-6,-1) Matrix(4329,-6232,1672,-2407) -> Matrix(11,2,-50,-9) Matrix(1253,-1808,368,-531) -> Matrix(13,2,-46,-7) Matrix(539,-782,122,-177) -> Matrix(1,0,0,1) Matrix(73,-108,48,-71) -> Matrix(1,0,4,1) Matrix(1509,-2330,590,-911) -> Matrix(1,0,-4,1) Matrix(1013,-1568,188,-291) -> Matrix(1,0,-4,1) Matrix(727,-1134,234,-365) -> Matrix(1,-2,-2,5) Matrix(2715,-4244,1124,-1757) -> Matrix(1,4,-4,-15) Matrix(5685,-8894,1334,-2087) -> Matrix(5,8,-12,-19) Matrix(6427,-10192,2692,-4269) -> Matrix(11,8,-40,-29) Matrix(2157,-3424,904,-1435) -> Matrix(13,8,-44,-27) Matrix(1703,-2738,1058,-1701) -> Matrix(55,28,-112,-57) Matrix(1491,-2410,550,-889) -> Matrix(9,4,-88,-39) Matrix(2887,-4672,1192,-1929) -> Matrix(29,12,-104,-43) Matrix(433,-706,46,-75) -> Matrix(5,2,-18,-7) Matrix(593,-968,68,-111) -> Matrix(1,0,0,1) Matrix(545,-894,114,-187) -> Matrix(1,0,0,1) Matrix(691,-1168,268,-453) -> Matrix(21,8,-92,-35) Matrix(7031,-11928,2448,-4153) -> Matrix(21,8,-8,-3) Matrix(8811,-14950,3070,-5209) -> Matrix(11,4,8,3) Matrix(1045,-1774,334,-567) -> Matrix(5,2,-18,-7) Matrix(1021,-1738,178,-303) -> Matrix(11,4,8,3) Matrix(4593,-7828,1708,-2911) -> Matrix(11,4,-80,-29) Matrix(5879,-10022,2462,-4197) -> Matrix(17,6,-54,-19) Matrix(419,-722,242,-417) -> Matrix(65,22,-198,-67) Matrix(2295,-4066,346,-613) -> Matrix(7,2,10,3) Matrix(1317,-2344,604,-1075) -> Matrix(43,12,-104,-29) Matrix(2451,-4388,968,-1733) -> Matrix(47,12,-192,-49) Matrix(1247,-2234,494,-885) -> Matrix(17,4,-64,-15) Matrix(1069,-1932,192,-347) -> Matrix(7,2,-46,-13) Matrix(2049,-3710,470,-851) -> Matrix(15,4,-64,-17) Matrix(1855,-3366,426,-773) -> Matrix(1,0,0,1) Matrix(435,-824,104,-197) -> Matrix(19,4,-24,-5) Matrix(3289,-7090,970,-2091) -> Matrix(35,18,-142,-73) Matrix(1993,-4308,588,-1271) -> Matrix(29,14,-114,-55) Matrix(1793,-3966,486,-1075) -> Matrix(3,2,-14,-9) Matrix(1511,-3350,410,-909) -> Matrix(5,2,-18,-7) Matrix(127,-294,54,-125) -> Matrix(17,6,-54,-19) Matrix(1763,-4178,338,-801) -> Matrix(7,2,-18,-5) Matrix(3471,-8230,1210,-2869) -> Matrix(7,2,10,3) Matrix(3089,-7352,692,-1647) -> Matrix(7,2,94,27) Matrix(493,-1186,106,-255) -> Matrix(7,2,-18,-5) Matrix(2545,-6214,994,-2427) -> Matrix(1,0,0,1) Matrix(417,-1022,122,-299) -> Matrix(1,0,0,1) Matrix(12661,-32400,3540,-9059) -> Matrix(1,0,-4,1) Matrix(12237,-31322,3422,-8759) -> Matrix(7,2,-46,-13) Matrix(1171,-3028,268,-693) -> Matrix(9,2,-50,-11) Matrix(2323,-6018,618,-1601) -> Matrix(9,2,-50,-11) Matrix(843,-2278,178,-481) -> Matrix(15,2,-38,-5) Matrix(3011,-8150,890,-2409) -> Matrix(87,10,-322,-37) Matrix(177,-484,64,-175) -> Matrix(1,0,16,1) Matrix(1749,-4910,410,-1151) -> Matrix(1,-2,-2,5) Matrix(1611,-5168,428,-1373) -> Matrix(5,2,-18,-7) Matrix(939,-3022,142,-457) -> Matrix(5,2,2,1) Matrix(323,-1058,98,-321) -> Matrix(41,14,-126,-43) Matrix(165,-554,14,-47) -> Matrix(7,2,-18,-5) Matrix(1703,-5738,398,-1341) -> Matrix(13,4,-36,-11) Matrix(1223,-4418,338,-1221) -> Matrix(1,0,16,1) Matrix(49,-192,12,-47) -> Matrix(1,0,4,1) Matrix(1079,-4802,242,-1077) -> Matrix(1,0,32,1) Matrix(51,-250,10,-49) -> Matrix(5,2,-18,-7) Matrix(105,-676,16,-103) -> Matrix(1,0,8,1) 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): 64 Degree of the the map X: 128 Degree of the the map Y: 384 ----------------------------------------------------------------------- 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): 1152 Minimal number of generators: 193 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: 57 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -5/11 -4/9 -7/17 -1/3 -2/7 -1/4 -3/13 -4/19 -1/6 -1/7 -2/17 0/1 1/5 1/4 2/7 7/23 5/13 3/7 1/2 11/19 7/11 2/3 5/7 21/29 13/17 4/5 1/1 8/7 11/9 5/4 17/13 121/89 29/21 7/5 41/29 3/2 11/7 37/23 31/19 19/11 9/5 29/16 13/7 17/9 2/1 31/14 7/3 17/7 5/2 151/59 18/7 13/5 8/3 19/7 11/4 3/1 23/7 10/3 17/5 31/9 7/2 47/13 11/3 19/5 4/1 13/3 49/11 9/2 23/5 37/8 5/1 11/2 17/3 23/4 6/1 19/3 13/2 7/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 0/1 1/1 -7/15 -1/1 1/1 -13/28 0/1 -6/13 1/2 1/1 -11/24 1/3 1/2 -5/11 1/1 -14/31 -1/1 0/1 -9/20 -1/3 0/1 -4/9 0/1 -7/16 1/2 -3/7 -1/1 1/1 -11/26 0/1 -19/45 1/9 -8/19 0/1 1/5 -5/12 1/2 1/1 -12/29 3/5 2/3 -7/17 1/1 -9/22 3/1 1/0 -2/5 0/1 -5/13 1/1 3/1 -18/47 1/1 1/0 -13/34 1/0 -8/21 -3/1 1/0 -3/8 0/1 -13/35 1/5 -10/27 1/3 2/5 -7/19 1/2 -11/30 1/2 1/1 -15/41 5/9 -4/11 3/4 1/1 -5/14 1/0 -11/31 1/0 -6/17 0/1 1/1 -1/3 1/1 -5/16 1/1 2/1 -9/29 1/0 -4/13 0/1 -3/10 1/1 3/2 -11/37 1/1 -8/27 7/3 5/2 -5/17 1/0 -7/24 0/1 1/1 -9/31 1/1 -2/7 1/0 -5/18 3/1 1/0 -8/29 -2/1 -11/40 -1/1 -1/2 -3/11 -1/1 1/1 -1/4 1/0 -4/17 -3/1 1/0 -3/13 -1/1 -5/22 0/1 1/1 -2/9 1/1 1/0 -3/14 1/1 2/1 -7/33 5/1 -4/19 1/0 -1/5 -3/1 -1/1 -2/11 0/1 -1/6 1/0 -2/13 -2/1 -5/3 -3/20 -2/1 -5/3 -1/7 -1/1 -2/15 -1/2 -1/3 -1/8 1/1 1/0 -2/17 1/0 -1/9 -3/1 -1/1 0/1 -1/1 0/1 1/7 -1/1 -3/5 2/13 -1/2 3/19 -1/3 1/6 -1/2 -1/3 3/17 0/1 2/11 1/1 1/0 1/5 -1/1 3/14 -5/7 -2/3 8/37 -2/3 5/23 -1/1 -3/5 7/32 -3/4 2/9 -5/7 -2/3 5/22 -5/8 8/35 -1/1 -2/3 3/13 -7/11 -3/5 1/4 -1/2 5/19 -1/2 4/15 -3/8 -1/3 3/11 -1/3 5/18 0/1 1/1 7/25 -1/1 -3/5 9/32 -1/2 -1/3 2/7 0/1 7/24 -3/2 -1/1 5/17 1/1 3/10 -3/2 -1/1 7/23 -1/1 4/13 -1/1 -6/7 9/29 -7/9 5/16 -3/4 1/3 -1/1 -3/5 4/11 -1/2 7/19 -5/11 3/8 -2/5 -1/3 8/21 -1/2 -1/3 21/55 -3/7 -1/3 13/34 -1/1 -1/2 5/13 -1/3 12/31 -1/5 0/1 7/18 0/1 16/41 -2/1 25/64 -11/10 -1/1 9/23 -1/1 -5/7 2/5 -1/2 -1/3 13/32 0/1 11/27 1/1 9/22 -3/2 -1/1 7/17 -1/2 12/29 -1/3 -1/4 17/41 -1/3 22/53 0/1 5/12 -1/3 0/1 3/7 -1/1 4/9 -3/5 -1/2 5/11 -1/1 -3/5 11/24 -1/2 6/13 -7/13 -1/2 7/15 -1/3 1/2 -1/2 9/17 -1/3 8/15 -1/3 0/1 15/28 -2/3 -3/5 7/13 -1/2 6/11 -4/9 -3/7 5/9 -1/3 19/34 -1/2 -5/11 14/25 -2/5 9/16 -1/2 22/39 -3/7 -14/33 13/23 -2/5 4/7 -2/5 -1/3 11/19 -1/3 7/12 -1/3 -1/4 10/17 0/1 3/5 -1/1 -1/3 11/18 -1/1 1/0 19/31 -1/1 27/44 -9/11 -4/5 8/13 -2/3 21/34 -1/2 34/55 -3/5 -1/2 13/21 -3/5 5/8 -1/2 -3/7 12/19 -1/2 -1/3 19/30 -1/3 0/1 7/11 -1/3 16/25 -1/3 -1/4 9/14 -1/3 0/1 20/31 0/1 11/17 -3/1 -1/1 2/3 -1/2 13/19 -17/39 -3/7 11/16 -5/12 20/29 -15/37 -2/5 9/13 -1/3 7/10 -1/3 0/1 12/17 -1/2 -1/3 17/24 -1/2 -1/3 5/7 -1/2 18/25 -3/7 -2/5 31/43 -5/11 13/18 -1/2 -3/7 34/47 -10/23 21/29 -3/7 29/40 -11/26 8/11 -5/12 -7/17 11/15 -1/3 25/34 -2/5 -1/3 14/19 -2/5 17/23 -2/5 3/4 -3/8 -1/3 13/17 -1/3 10/13 -1/3 -6/19 17/22 -3/10 7/9 -1/3 -3/11 11/14 -1/4 26/33 -6/29 -1/5 41/52 -3/16 15/19 -1/7 19/24 0/1 1/1 4/5 0/1 17/21 -1/3 13/16 -1/1 -3/4 9/11 -1/2 14/17 -1/2 -1/3 5/6 -2/5 -1/3 11/13 0/1 28/33 -1/1 -4/5 17/20 -1/3 0/1 6/7 -1/2 -1/3 19/22 -1/2 -1/3 13/15 -1/1 -3/5 7/8 -1/2 1/1 -1/3 8/7 0/1 15/13 -1/1 -1/3 7/6 -1/1 -1/2 20/17 -1/3 0/1 13/11 0/1 6/5 -1/3 0/1 11/9 -1/2 27/22 -1/3 0/1 16/13 -1/2 -1/3 37/30 -1/2 -1/3 21/17 -1/3 5/4 -1/2 24/19 -11/27 -2/5 43/34 -2/5 -17/43 19/15 -1/3 52/41 -2/5 33/26 -2/5 -1/3 14/11 -2/5 9/7 -7/19 -1/3 31/24 -5/14 22/17 -6/17 13/10 -10/29 -1/3 17/13 -1/3 4/3 -1/3 -3/10 19/14 -5/18 53/39 -37/135 -3/11 87/64 -59/216 -3/11 121/89 -3/11 34/25 -3/11 -22/81 15/11 -5/19 11/8 -1/3 -1/4 40/29 0/1 29/21 -1/3 47/34 -1/4 18/13 -1/3 -1/4 43/31 -1/3 25/18 -1/3 0/1 7/5 -1/4 24/17 -5/23 -3/14 41/29 -1/5 17/12 -1/4 -1/5 44/31 0/1 27/19 -1/3 10/7 -2/9 -1/5 13/9 -1/7 16/11 0/1 3/2 0/1 20/13 0/1 37/24 0/1 1/1 17/11 -1/1 1/1 31/20 -1/2 14/9 0/1 1/1 25/16 -3/1 1/0 11/7 -1/1 30/19 -2/3 -3/5 49/31 -1/2 19/12 -1/1 -3/4 65/41 -5/7 46/29 -2/3 27/17 -1/1 -3/5 8/5 -3/5 -1/2 37/23 -1/2 66/41 -1/2 -25/51 29/18 -1/2 -11/23 21/13 -5/11 55/34 -3/7 -17/40 34/21 -2/5 47/29 -5/13 -1/3 13/8 -1/2 44/27 -2/5 -1/3 31/19 -1/3 49/30 -1/2 -1/3 18/11 -1/2 -1/3 5/3 -3/7 -1/3 17/10 -3/8 46/27 -5/14 -1/3 29/17 -1/3 12/7 -7/20 -1/3 19/11 -1/3 7/4 -1/3 -4/13 23/13 -2/7 62/35 -1/3 -2/7 39/22 -1/3 -2/7 16/9 -2/7 25/14 -1/4 34/19 -5/19 -1/4 43/24 -1/4 -3/13 9/5 -1/3 29/16 -1/4 49/27 -1/3 -1/5 20/11 -1/3 -1/4 11/6 -1/3 -2/7 13/7 -1/4 28/15 -5/21 -4/17 15/8 -4/17 -3/13 17/9 -5/23 2/1 0/1 17/8 -2/3 15/7 -3/5 28/13 -11/21 -1/2 41/19 -1/2 13/6 -1/2 -5/11 24/11 -2/5 11/5 -1/1 -1/3 31/14 -1/2 51/23 -1/3 20/9 -1/2 -1/3 9/4 -1/2 -3/7 7/3 -1/3 12/5 -2/7 -3/11 41/17 -1/3 29/12 -1/3 -1/4 17/7 -1/4 39/16 -1/4 22/9 -1/3 -1/4 5/2 -1/3 -1/4 23/9 -1/3 -1/5 87/34 -1/3 0/1 151/59 -1/3 64/25 -1/3 -1/4 41/16 -1/4 59/23 -3/13 18/7 -1/4 31/12 -2/9 -5/23 13/5 -1/5 34/13 -1/6 -1/7 55/21 -1/5 -1/7 76/29 0/1 21/8 -1/4 -1/5 50/19 -2/11 29/11 -1/6 8/3 -1/7 0/1 19/7 -1/11 11/4 0/1 3/1 -1/1 -1/3 16/5 -2/5 29/9 -1/3 13/4 -4/11 -1/3 23/7 -1/3 10/3 -1/3 -3/10 17/5 -1/3 58/17 -1/4 41/12 -1/3 -1/4 24/7 -1/3 -1/4 31/9 -1/4 7/2 -1/4 32/9 -3/17 -1/6 57/16 -1/5 -1/6 25/7 -1/5 -1/7 18/5 -1/7 0/1 47/13 0/1 76/21 0/1 1/9 29/8 0/1 1/1 11/3 -1/3 37/10 -1/5 -1/6 63/17 0/1 26/7 0/1 15/4 -1/3 -1/4 19/5 -1/4 23/6 -5/24 -1/5 4/1 0/1 13/3 -1/3 -1/5 35/8 -1/3 0/1 22/5 0/1 31/7 -1/7 40/9 -1/15 0/1 49/11 0/1 9/2 0/1 1/1 32/7 -2/3 23/5 -1/1 -1/3 37/8 -1/2 51/11 -1/3 14/3 -1/1 0/1 5/1 -1/3 11/2 -1/4 -1/5 17/3 0/1 40/7 1/2 1/1 23/4 1/0 6/1 -1/3 -1/4 25/4 -1/5 -3/16 19/3 -1/7 13/2 0/1 7/1 -1/1 -1/3 1/0 -1/3 0/1 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(280,131,-731,-342) (-1/2,-7/15) -> (-5/13,-18/47) Hyperbolic Matrix(58,27,-507,-236) (-7/15,-13/28) -> (-2/17,-1/9) Hyperbolic Matrix(225,104,556,257) (-13/28,-6/13) -> (2/5,13/32) Hyperbolic Matrix(724,333,387,178) (-6/13,-11/24) -> (28/15,15/8) Hyperbolic Matrix(274,125,-605,-276) (-11/24,-5/11) -> (-5/11,-14/31) Parabolic Matrix(2132,961,599,270) (-14/31,-9/20) -> (32/9,57/16) Hyperbolic Matrix(274,123,597,268) (-9/20,-4/9) -> (11/24,6/13) Hyperbolic Matrix(270,119,481,212) (-4/9,-7/16) -> (14/25,9/16) Hyperbolic Matrix(160,69,51,22) (-7/16,-3/7) -> (3/1,16/5) Hyperbolic Matrix(54,23,-263,-112) (-3/7,-11/26) -> (-4/19,-1/5) Hyperbolic Matrix(362,153,-1713,-724) (-11/26,-19/45) -> (-7/33,-4/19) Hyperbolic Matrix(780,329,-2129,-898) (-19/45,-8/19) -> (-11/30,-15/41) Hyperbolic Matrix(566,237,363,152) (-8/19,-5/12) -> (14/9,25/16) Hyperbolic Matrix(664,275,565,234) (-5/12,-12/29) -> (7/6,20/17) Hyperbolic Matrix(356,147,-867,-358) (-12/29,-7/17) -> (-7/17,-9/22) Parabolic Matrix(150,61,659,268) (-9/22,-2/5) -> (5/22,8/35) Hyperbolic Matrix(246,95,145,56) (-2/5,-5/13) -> (5/3,17/10) Hyperbolic Matrix(2821,1080,2040,781) (-18/47,-13/34) -> (47/34,18/13) Hyperbolic Matrix(730,279,921,352) (-13/34,-8/21) -> (19/24,4/5) Hyperbolic Matrix(626,237,243,92) (-8/21,-3/8) -> (18/7,31/12) Hyperbolic Matrix(1102,411,429,160) (-3/8,-13/35) -> (59/23,18/7) Hyperbolic Matrix(383,142,1238,459) (-13/35,-10/27) -> (4/13,9/29) Hyperbolic Matrix(477,176,664,245) (-10/27,-7/19) -> (5/7,18/25) Hyperbolic Matrix(473,174,666,245) (-7/19,-11/30) -> (17/24,5/7) Hyperbolic Matrix(802,293,427,156) (-15/41,-4/11) -> (15/8,17/9) Hyperbolic Matrix(424,153,327,118) (-4/11,-5/14) -> (22/17,13/10) Hyperbolic Matrix(651,232,188,67) (-5/14,-11/31) -> (31/9,7/2) Hyperbolic Matrix(1763,624,1116,395) (-11/31,-6/17) -> (30/19,49/31) Hyperbolic Matrix(784,275,325,114) (-6/17,-1/3) -> (41/17,29/12) Hyperbolic Matrix(308,97,743,234) (-1/3,-5/16) -> (12/29,17/41) Hyperbolic Matrix(959,298,782,243) (-5/16,-9/29) -> (11/9,27/22) Hyperbolic Matrix(1827,566,694,215) (-9/29,-4/13) -> (50/19,29/11) Hyperbolic Matrix(300,91,389,118) (-4/13,-3/10) -> (10/13,17/22) Hyperbolic Matrix(386,115,725,216) (-3/10,-11/37) -> (9/17,8/15) Hyperbolic Matrix(300,89,-1409,-418) (-11/37,-8/27) -> (-3/14,-7/33) Hyperbolic Matrix(597,176,424,125) (-8/27,-5/17) -> (7/5,24/17) Hyperbolic Matrix(593,174,426,125) (-5/17,-7/24) -> (25/18,7/5) Hyperbolic Matrix(1099,320,340,99) (-7/24,-9/31) -> (29/9,13/4) Hyperbolic Matrix(632,183,297,86) (-9/31,-2/7) -> (17/8,15/7) Hyperbolic Matrix(210,59,541,152) (-2/7,-5/18) -> (12/31,7/18) Hyperbolic Matrix(786,217,623,172) (-5/18,-8/29) -> (5/4,24/19) Hyperbolic Matrix(1737,478,2402,661) (-8/29,-11/40) -> (13/18,34/47) Hyperbolic Matrix(40,11,-371,-102) (-11/40,-3/11) -> (-1/9,0/1) Hyperbolic Matrix(122,33,207,56) (-3/11,-1/4) -> (10/17,3/5) Hyperbolic Matrix(514,123,117,28) (-1/4,-4/17) -> (35/8,22/5) Hyperbolic Matrix(116,27,-507,-118) (-4/17,-3/13) -> (-3/13,-5/22) Parabolic Matrix(428,97,503,114) (-5/22,-2/9) -> (17/20,6/7) Hyperbolic Matrix(270,59,421,92) (-2/9,-3/14) -> (16/25,9/14) Hyperbolic Matrix(36,7,113,22) (-1/5,-2/11) -> (5/16,1/3) Hyperbolic Matrix(326,57,183,32) (-2/11,-1/6) -> (16/9,25/14) Hyperbolic Matrix(390,61,179,28) (-1/6,-2/13) -> (13/6,24/11) Hyperbolic Matrix(458,69,531,80) (-2/13,-3/20) -> (6/7,19/22) Hyperbolic Matrix(34,5,-245,-36) (-3/20,-1/7) -> (-1/7,-2/15) Parabolic Matrix(240,31,449,58) (-2/15,-1/8) -> (8/15,15/28) Hyperbolic Matrix(1161,140,340,41) (-1/8,-2/17) -> (58/17,41/12) Hyperbolic Matrix(80,-11,131,-18) (0/1,1/7) -> (3/5,11/18) Hyperbolic Matrix(182,-27,27,-4) (1/7,2/13) -> (13/2,7/1) Hyperbolic Matrix(494,-77,77,-12) (2/13,3/19) -> (19/3,13/2) Hyperbolic Matrix(829,-132,672,-107) (3/19,1/6) -> (37/30,21/17) Hyperbolic Matrix(153,-26,206,-35) (1/6,3/17) -> (17/23,3/4) Hyperbolic Matrix(330,-59,179,-32) (3/17,2/11) -> (11/6,13/7) Hyperbolic Matrix(26,-5,125,-24) (2/11,1/5) -> (1/5,3/14) Parabolic Matrix(493,-106,1186,-255) (3/14,8/37) -> (22/53,5/12) Hyperbolic Matrix(1702,-369,369,-80) (8/37,5/23) -> (23/5,37/8) Hyperbolic Matrix(812,-177,1257,-274) (5/23,7/32) -> (20/31,11/17) Hyperbolic Matrix(712,-157,517,-114) (7/32,2/9) -> (11/8,40/29) Hyperbolic Matrix(539,-122,782,-177) (2/9,5/22) -> (11/16,20/29) Hyperbolic Matrix(904,-207,2367,-542) (8/35,3/13) -> (21/55,13/34) Hyperbolic Matrix(218,-51,171,-40) (3/13,1/4) -> (14/11,9/7) Hyperbolic Matrix(809,-212,332,-87) (1/4,5/19) -> (17/7,39/16) Hyperbolic Matrix(260,-69,309,-82) (5/19,4/15) -> (5/6,11/13) Hyperbolic Matrix(567,-152,332,-89) (4/15,3/11) -> (29/17,12/7) Hyperbolic Matrix(517,-142,142,-39) (3/11,5/18) -> (29/8,11/3) Hyperbolic Matrix(212,-59,539,-150) (5/18,7/25) -> (9/23,2/5) Hyperbolic Matrix(891,-250,1030,-289) (7/25,9/32) -> (19/22,13/15) Hyperbolic Matrix(724,-205,445,-126) (9/32,2/7) -> (13/8,44/27) Hyperbolic Matrix(1347,-392,512,-149) (2/7,7/24) -> (21/8,50/19) Hyperbolic Matrix(417,-122,1022,-299) (7/24,5/17) -> (11/27,9/22) Hyperbolic Matrix(300,-89,209,-62) (5/17,3/10) -> (10/7,13/9) Hyperbolic Matrix(162,-49,529,-160) (3/10,7/23) -> (7/23,4/13) Parabolic Matrix(388,-121,481,-150) (9/29,5/16) -> (4/5,17/21) Hyperbolic Matrix(66,-23,23,-8) (1/3,4/11) -> (11/4,3/1) Hyperbolic Matrix(418,-153,153,-56) (4/11,7/19) -> (19/7,11/4) Hyperbolic Matrix(240,-89,329,-122) (7/19,3/8) -> (8/11,11/15) Hyperbolic Matrix(217,-82,262,-99) (3/8,8/21) -> (14/17,5/6) Hyperbolic Matrix(2129,-812,1172,-447) (8/21,21/55) -> (49/27,20/11) Hyperbolic Matrix(326,-125,845,-324) (13/34,5/13) -> (5/13,12/31) Parabolic Matrix(733,-286,346,-135) (7/18,16/41) -> (2/1,17/8) Hyperbolic Matrix(3690,-1441,4681,-1828) (16/41,25/64) -> (26/33,41/52) Hyperbolic Matrix(5393,-2108,3968,-1551) (25/64,9/23) -> (53/39,87/64) Hyperbolic Matrix(2110,-859,619,-252) (13/32,11/27) -> (17/5,58/17) Hyperbolic Matrix(809,-332,212,-87) (9/22,7/17) -> (19/5,23/6) Hyperbolic Matrix(786,-325,445,-184) (7/17,12/29) -> (7/4,23/13) Hyperbolic Matrix(4220,-1751,911,-378) (17/41,22/53) -> (37/8,51/11) Hyperbolic Matrix(64,-27,147,-62) (5/12,3/7) -> (3/7,4/9) Parabolic Matrix(331,-148,208,-93) (4/9,5/11) -> (27/17,8/5) Hyperbolic Matrix(1502,-687,927,-424) (5/11,11/24) -> (34/21,47/29) Hyperbolic Matrix(615,-286,286,-133) (6/13,7/15) -> (15/7,28/13) Hyperbolic Matrix(733,-346,286,-135) (7/15,1/2) -> (41/16,59/23) Hyperbolic Matrix(922,-487,727,-384) (1/2,9/17) -> (19/15,52/41) Hyperbolic Matrix(996,-535,175,-94) (15/28,7/13) -> (17/3,40/7) Hyperbolic Matrix(330,-179,59,-32) (7/13,6/11) -> (11/2,17/3) Hyperbolic Matrix(387,-212,272,-149) (6/11,5/9) -> (27/19,10/7) Hyperbolic Matrix(693,-386,386,-215) (5/9,19/34) -> (43/24,9/5) Hyperbolic Matrix(1404,-785,905,-506) (19/34,14/25) -> (31/20,14/9) Hyperbolic Matrix(2206,-1243,1363,-768) (9/16,22/39) -> (55/34,34/21) Hyperbolic Matrix(1073,-606,1266,-715) (22/39,13/23) -> (11/13,28/33) Hyperbolic Matrix(786,-445,325,-184) (13/23,4/7) -> (29/12,17/7) Hyperbolic Matrix(210,-121,361,-208) (4/7,11/19) -> (11/19,7/12) Parabolic Matrix(567,-332,152,-89) (7/12,10/17) -> (26/7,15/4) Hyperbolic Matrix(1265,-774,894,-547) (11/18,19/31) -> (41/29,17/12) Hyperbolic Matrix(2548,-1563,1803,-1106) (19/31,27/44) -> (24/17,41/29) Hyperbolic Matrix(724,-445,205,-126) (27/44,8/13) -> (7/2,32/9) Hyperbolic Matrix(1151,-710,890,-549) (8/13,21/34) -> (31/24,22/17) Hyperbolic Matrix(2206,-1363,1243,-768) (21/34,34/55) -> (39/22,16/9) Hyperbolic Matrix(1130,-699,1539,-952) (34/55,13/21) -> (11/15,25/34) Hyperbolic Matrix(777,-482,482,-299) (13/21,5/8) -> (29/18,21/13) Hyperbolic Matrix(331,-208,148,-93) (5/8,12/19) -> (20/9,9/4) Hyperbolic Matrix(993,-628,808,-511) (12/19,19/30) -> (27/22,16/13) Hyperbolic Matrix(386,-245,605,-384) (19/30,7/11) -> (7/11,16/25) Parabolic Matrix(1404,-905,785,-506) (9/14,20/31) -> (25/14,34/19) Hyperbolic Matrix(73,-48,108,-71) (11/17,2/3) -> (2/3,13/19) Parabolic Matrix(1209,-830,890,-611) (13/19,11/16) -> (19/14,53/39) Hyperbolic Matrix(1419,-980,320,-221) (20/29,9/13) -> (31/7,40/9) Hyperbolic Matrix(300,-209,89,-62) (9/13,7/10) -> (10/3,17/5) Hyperbolic Matrix(387,-272,212,-149) (7/10,12/17) -> (20/11,11/6) Hyperbolic Matrix(1265,-894,774,-547) (12/17,17/24) -> (49/30,18/11) Hyperbolic Matrix(1866,-1345,505,-364) (18/25,31/43) -> (11/3,37/10) Hyperbolic Matrix(1987,-1434,1254,-905) (31/43,13/18) -> (19/12,65/41) Hyperbolic Matrix(1828,-1323,2523,-1826) (34/47,21/29) -> (21/29,29/40) Parabolic Matrix(712,-517,157,-114) (29/40,8/11) -> (9/2,32/7) Hyperbolic Matrix(1383,-1018,898,-661) (25/34,14/19) -> (20/13,37/24) Hyperbolic Matrix(1795,-1324,484,-357) (14/19,17/23) -> (63/17,26/7) Hyperbolic Matrix(222,-169,289,-220) (3/4,13/17) -> (13/17,10/13) Parabolic Matrix(1151,-890,710,-549) (17/22,7/9) -> (47/29,13/8) Hyperbolic Matrix(218,-171,51,-40) (7/9,11/14) -> (4/1,13/3) Hyperbolic Matrix(454,-357,117,-92) (11/14,26/33) -> (23/6,4/1) Hyperbolic Matrix(922,-727,487,-384) (41/52,15/19) -> (17/9,2/1) Hyperbolic Matrix(1273,-1006,1006,-795) (15/19,19/24) -> (43/34,19/15) Hyperbolic Matrix(829,-672,132,-107) (17/21,13/16) -> (25/4,19/3) Hyperbolic Matrix(993,-808,628,-511) (13/16,9/11) -> (49/31,19/12) Hyperbolic Matrix(791,-650,230,-189) (9/11,14/17) -> (24/7,31/9) Hyperbolic Matrix(698,-593,113,-96) (28/33,17/20) -> (6/1,25/4) Hyperbolic Matrix(240,-209,209,-182) (13/15,7/8) -> (8/7,15/13) Hyperbolic Matrix(16,-15,15,-14) (7/8,1/1) -> (1/1,8/7) Parabolic Matrix(891,-1030,250,-289) (15/13,7/6) -> (57/16,25/7) Hyperbolic Matrix(1073,-1266,606,-715) (20/17,13/11) -> (23/13,62/35) Hyperbolic Matrix(260,-309,69,-82) (13/11,6/5) -> (15/4,19/5) Hyperbolic Matrix(217,-262,82,-99) (6/5,11/9) -> (29/11,8/3) Hyperbolic Matrix(1976,-2435,1115,-1374) (16/13,37/30) -> (62/35,39/22) Hyperbolic Matrix(388,-481,121,-150) (21/17,5/4) -> (16/5,29/9) Hyperbolic Matrix(2240,-2831,1391,-1758) (24/19,43/34) -> (66/41,29/18) Hyperbolic Matrix(3690,-4681,1441,-1828) (52/41,33/26) -> (64/25,41/16) Hyperbolic Matrix(1256,-1595,515,-654) (33/26,14/11) -> (39/16,22/9) Hyperbolic Matrix(432,-557,197,-254) (9/7,31/24) -> (24/11,11/5) Hyperbolic Matrix(222,-289,169,-220) (13/10,17/13) -> (17/13,4/3) Parabolic Matrix(153,-206,26,-35) (4/3,19/14) -> (23/4,6/1) Hyperbolic Matrix(10770,-14641,7921,-10768) (87/64,121/89) -> (121/89,34/25) Parabolic Matrix(1130,-1539,699,-952) (34/25,15/11) -> (21/13,55/34) Hyperbolic Matrix(240,-329,89,-122) (15/11,11/8) -> (8/3,19/7) Hyperbolic Matrix(1828,-2523,1323,-1826) (40/29,29/21) -> (29/21,47/34) Parabolic Matrix(1283,-1778,578,-801) (18/13,43/31) -> (51/23,20/9) Hyperbolic Matrix(1948,-2703,1143,-1586) (43/31,25/18) -> (46/27,29/17) Hyperbolic Matrix(1563,-2216,596,-845) (17/12,44/31) -> (76/29,21/8) Hyperbolic Matrix(830,-1179,459,-652) (44/31,27/19) -> (9/5,29/16) Hyperbolic Matrix(539,-782,122,-177) (13/9,16/11) -> (22/5,31/7) Hyperbolic Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(1509,-2330,590,-911) (37/24,17/11) -> (23/9,87/34) Hyperbolic Matrix(812,-1257,177,-274) (17/11,31/20) -> (32/7,23/5) Hyperbolic Matrix(386,-605,245,-384) (25/16,11/7) -> (11/7,30/19) Parabolic Matrix(2750,-4361,1241,-1968) (65/41,46/29) -> (31/14,51/23) Hyperbolic Matrix(846,-1343,383,-608) (46/29,27/17) -> (11/5,31/14) Hyperbolic Matrix(1703,-2738,1058,-1701) (8/5,37/23) -> (37/23,66/41) Parabolic Matrix(1768,-2883,1083,-1766) (44/27,31/19) -> (31/19,49/30) Parabolic Matrix(80,-131,11,-18) (18/11,5/3) -> (7/1,1/0) Hyperbolic Matrix(1021,-1738,178,-303) (17/10,46/27) -> (40/7,23/4) Hyperbolic Matrix(210,-361,121,-208) (12/7,19/11) -> (19/11,7/4) Parabolic Matrix(2140,-3831,591,-1058) (34/19,43/24) -> (76/21,29/8) Hyperbolic Matrix(2932,-5319,1119,-2030) (29/16,49/27) -> (55/21,76/29) Hyperbolic Matrix(1204,-2245,325,-606) (13/7,28/15) -> (37/10,63/17) Hyperbolic Matrix(808,-1741,181,-390) (28/13,41/19) -> (49/11,9/2) Hyperbolic Matrix(1054,-2277,237,-512) (41/19,13/6) -> (40/9,49/11) Hyperbolic Matrix(64,-147,27,-62) (9/4,7/3) -> (7/3,12/5) Parabolic Matrix(493,-1186,106,-255) (12/5,41/17) -> (51/11,14/3) Hyperbolic Matrix(417,-1022,122,-299) (22/9,5/2) -> (41/12,24/7) Hyperbolic Matrix(212,-539,59,-150) (5/2,23/9) -> (25/7,18/5) Hyperbolic Matrix(8910,-22801,3481,-8908) (87/34,151/59) -> (151/59,64/25) Parabolic Matrix(326,-845,125,-324) (31/12,13/5) -> (13/5,34/13) Parabolic Matrix(904,-2367,207,-542) (34/13,55/21) -> (13/3,35/8) Hyperbolic Matrix(162,-529,49,-160) (13/4,23/7) -> (23/7,10/3) Parabolic Matrix(1223,-4418,338,-1221) (18/5,47/13) -> (47/13,76/21) Parabolic Matrix(26,-125,5,-24) (14/3,5/1) -> (5/1,11/2) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(280,131,-731,-342) -> Matrix(2,-1,1,0) Matrix(58,27,-507,-236) -> Matrix(2,1,-1,0) Matrix(225,104,556,257) -> Matrix(1,0,-4,1) Matrix(724,333,387,178) -> Matrix(2,1,-9,-4) Matrix(274,125,-605,-276) -> Matrix(2,-1,1,0) Matrix(2132,961,599,270) -> Matrix(0,-1,1,6) Matrix(274,123,597,268) -> Matrix(4,-1,-7,2) Matrix(270,119,481,212) -> Matrix(0,-1,1,2) Matrix(160,69,51,22) -> Matrix(0,-1,1,2) Matrix(54,23,-263,-112) -> Matrix(2,1,-1,0) Matrix(362,153,-1713,-724) -> Matrix(14,-1,1,0) Matrix(780,329,-2129,-898) -> Matrix(4,-1,9,-2) Matrix(566,237,363,152) -> Matrix(2,-1,1,0) Matrix(664,275,565,234) -> Matrix(2,-1,-7,4) Matrix(356,147,-867,-358) -> Matrix(4,-3,3,-2) Matrix(150,61,659,268) -> Matrix(2,-5,-3,8) Matrix(246,95,145,56) -> Matrix(2,-3,-5,8) Matrix(2821,1080,2040,781) -> Matrix(1,0,-4,1) Matrix(730,279,921,352) -> Matrix(0,-1,1,2) Matrix(626,237,243,92) -> Matrix(2,1,-9,-4) Matrix(1102,411,429,160) -> Matrix(2,-1,-7,4) Matrix(383,142,1238,459) -> Matrix(13,-4,-16,5) Matrix(477,176,664,245) -> Matrix(9,-4,-20,9) Matrix(473,174,666,245) -> Matrix(1,0,-4,1) Matrix(802,293,427,156) -> Matrix(8,-5,-35,22) Matrix(424,153,327,118) -> Matrix(6,-7,-17,20) Matrix(651,232,188,67) -> Matrix(1,0,-4,1) Matrix(1763,624,1116,395) -> Matrix(1,2,-2,-3) Matrix(784,275,325,114) -> Matrix(2,-1,-7,4) Matrix(308,97,743,234) -> Matrix(0,-1,1,2) Matrix(959,298,782,243) -> Matrix(1,-2,-2,5) Matrix(1827,566,694,215) -> Matrix(1,2,-6,-11) Matrix(300,91,389,118) -> Matrix(4,-3,-13,10) Matrix(386,115,725,216) -> Matrix(2,-3,-5,8) Matrix(300,89,-1409,-418) -> Matrix(4,-9,1,-2) Matrix(597,176,424,125) -> Matrix(1,-4,-4,17) Matrix(593,174,426,125) -> Matrix(1,0,-4,1) Matrix(1099,320,340,99) -> Matrix(3,-4,-8,11) Matrix(632,183,297,86) -> Matrix(2,-5,-3,8) Matrix(210,59,541,152) -> Matrix(0,-1,1,2) Matrix(786,217,623,172) -> Matrix(2,5,-5,-12) Matrix(1737,478,2402,661) -> Matrix(7,4,-16,-9) Matrix(40,11,-371,-102) -> Matrix(2,1,-1,0) Matrix(122,33,207,56) -> Matrix(0,-1,1,2) Matrix(514,123,117,28) -> Matrix(0,-1,1,6) Matrix(116,27,-507,-118) -> Matrix(0,-1,1,2) Matrix(428,97,503,114) -> Matrix(0,-1,1,2) Matrix(270,59,421,92) -> Matrix(0,-1,1,2) Matrix(36,7,113,22) -> Matrix(2,3,-3,-4) Matrix(326,57,183,32) -> Matrix(2,-1,-7,4) Matrix(390,61,179,28) -> Matrix(2,5,-5,-12) Matrix(458,69,531,80) -> Matrix(2,3,-3,-4) Matrix(34,5,-245,-36) -> Matrix(2,3,-3,-4) Matrix(240,31,449,58) -> Matrix(0,-1,1,2) Matrix(1161,140,340,41) -> Matrix(1,0,-4,1) Matrix(80,-11,131,-18) -> Matrix(2,1,-1,0) Matrix(182,-27,27,-4) -> Matrix(2,1,-1,0) Matrix(494,-77,77,-12) -> Matrix(2,1,-17,-8) Matrix(829,-132,672,-107) -> Matrix(1,0,0,1) Matrix(153,-26,206,-35) -> Matrix(7,2,-18,-5) Matrix(330,-59,179,-32) -> Matrix(2,-1,-7,4) Matrix(26,-5,125,-24) -> Matrix(2,3,-3,-4) Matrix(493,-106,1186,-255) -> Matrix(3,2,-2,-1) Matrix(1702,-369,369,-80) -> Matrix(2,1,-1,0) Matrix(812,-177,1257,-274) -> Matrix(4,3,-3,-2) Matrix(712,-157,517,-114) -> Matrix(4,3,-19,-14) Matrix(539,-122,782,-177) -> Matrix(31,20,-76,-49) Matrix(904,-207,2367,-542) -> Matrix(2,1,-1,0) Matrix(218,-51,171,-40) -> Matrix(12,7,-31,-18) Matrix(809,-212,332,-87) -> Matrix(5,2,-18,-7) Matrix(260,-69,309,-82) -> Matrix(2,1,-9,-4) Matrix(567,-152,332,-89) -> Matrix(13,4,-36,-11) Matrix(517,-142,142,-39) -> Matrix(1,0,0,1) Matrix(212,-59,539,-150) -> Matrix(0,-1,1,2) Matrix(891,-250,1030,-289) -> Matrix(1,0,0,1) Matrix(724,-205,445,-126) -> Matrix(4,1,-9,-2) Matrix(1347,-392,512,-149) -> Matrix(1,2,-6,-11) Matrix(417,-122,1022,-299) -> Matrix(1,0,0,1) Matrix(300,-89,209,-62) -> Matrix(0,-1,1,6) Matrix(162,-49,529,-160) -> Matrix(8,9,-9,-10) Matrix(388,-121,481,-150) -> Matrix(4,3,-3,-2) Matrix(66,-23,23,-8) -> Matrix(2,1,-1,0) Matrix(418,-153,153,-56) -> Matrix(2,1,-33,-16) Matrix(240,-89,329,-122) -> Matrix(20,9,-49,-22) Matrix(217,-82,262,-99) -> Matrix(1,0,0,1) Matrix(2129,-812,1172,-447) -> Matrix(5,2,-18,-7) Matrix(326,-125,845,-324) -> Matrix(2,1,-9,-4) Matrix(733,-286,346,-135) -> Matrix(1,2,-2,-3) Matrix(3690,-1441,4681,-1828) -> Matrix(4,5,-21,-26) Matrix(5393,-2108,3968,-1551) -> Matrix(29,26,-106,-95) Matrix(2110,-859,619,-252) -> Matrix(2,-1,-7,4) Matrix(809,-332,212,-87) -> Matrix(3,2,-14,-9) Matrix(786,-325,445,-184) -> Matrix(8,3,-27,-10) Matrix(4220,-1751,911,-378) -> Matrix(4,1,-9,-2) Matrix(64,-27,147,-62) -> Matrix(0,-1,1,2) Matrix(331,-148,208,-93) -> Matrix(1,0,0,1) Matrix(1502,-687,927,-424) -> Matrix(12,7,-31,-18) Matrix(615,-286,286,-133) -> Matrix(9,4,-16,-7) Matrix(733,-346,286,-135) -> Matrix(3,2,-14,-9) Matrix(922,-487,727,-384) -> Matrix(4,1,-9,-2) Matrix(996,-535,175,-94) -> Matrix(2,1,7,4) Matrix(330,-179,59,-32) -> Matrix(2,1,-17,-8) Matrix(387,-212,272,-149) -> Matrix(5,2,-18,-7) Matrix(693,-386,386,-215) -> Matrix(5,2,-18,-7) Matrix(1404,-785,905,-506) -> Matrix(2,1,-9,-4) Matrix(2206,-1243,1363,-768) -> Matrix(20,9,-49,-22) Matrix(1073,-606,1266,-715) -> Matrix(5,2,2,1) Matrix(786,-445,325,-184) -> Matrix(8,3,-27,-10) Matrix(210,-121,361,-208) -> Matrix(8,3,-27,-10) Matrix(567,-332,152,-89) -> Matrix(1,0,0,1) Matrix(1265,-774,894,-547) -> Matrix(1,0,-4,1) Matrix(2548,-1563,1803,-1106) -> Matrix(8,7,-39,-34) Matrix(724,-445,205,-126) -> Matrix(4,3,-19,-14) Matrix(1151,-710,890,-549) -> Matrix(27,16,-76,-45) Matrix(2206,-1363,1243,-768) -> Matrix(8,5,-29,-18) Matrix(1130,-699,1539,-952) -> Matrix(12,7,-31,-18) Matrix(777,-482,482,-299) -> Matrix(15,8,-32,-17) Matrix(331,-208,148,-93) -> Matrix(1,0,0,1) Matrix(993,-628,808,-511) -> Matrix(1,0,0,1) Matrix(386,-245,605,-384) -> Matrix(2,1,-9,-4) Matrix(1404,-905,785,-506) -> Matrix(2,-1,-7,4) Matrix(73,-48,108,-71) -> Matrix(7,4,-16,-9) Matrix(1209,-830,890,-611) -> Matrix(71,30,-258,-109) Matrix(1419,-980,320,-221) -> Matrix(5,2,-38,-15) Matrix(300,-209,89,-62) -> Matrix(8,3,-27,-10) Matrix(387,-272,212,-149) -> Matrix(5,2,-18,-7) Matrix(1265,-894,774,-547) -> Matrix(1,0,0,1) Matrix(1866,-1345,505,-364) -> Matrix(2,1,-17,-8) Matrix(1987,-1434,1254,-905) -> Matrix(23,10,-30,-13) Matrix(1828,-1323,2523,-1826) -> Matrix(146,63,-343,-148) Matrix(712,-517,157,-114) -> Matrix(12,5,-5,-2) Matrix(1383,-1018,898,-661) -> Matrix(5,2,2,1) Matrix(1795,-1324,484,-357) -> Matrix(5,2,-18,-7) Matrix(222,-169,289,-220) -> Matrix(26,9,-81,-28) Matrix(1151,-890,710,-549) -> Matrix(13,4,-36,-11) Matrix(218,-171,51,-40) -> Matrix(4,1,-9,-2) Matrix(454,-357,117,-92) -> Matrix(4,1,-25,-6) Matrix(922,-727,487,-384) -> Matrix(16,3,-75,-14) Matrix(1273,-1006,1006,-795) -> Matrix(15,2,-38,-5) Matrix(829,-672,132,-107) -> Matrix(1,0,-4,1) Matrix(993,-808,628,-511) -> Matrix(1,0,0,1) Matrix(791,-650,230,-189) -> Matrix(5,2,-18,-7) Matrix(698,-593,113,-96) -> Matrix(2,1,-9,-4) Matrix(240,-209,209,-182) -> Matrix(2,1,-1,0) Matrix(16,-15,15,-14) -> Matrix(2,1,-9,-4) Matrix(891,-1030,250,-289) -> Matrix(1,0,-4,1) Matrix(1073,-1266,606,-715) -> Matrix(5,2,-18,-7) Matrix(260,-309,69,-82) -> Matrix(2,1,-9,-4) Matrix(217,-262,82,-99) -> Matrix(1,0,-4,1) Matrix(1976,-2435,1115,-1374) -> Matrix(8,3,-27,-10) Matrix(388,-481,121,-150) -> Matrix(4,1,-9,-2) Matrix(2240,-2831,1391,-1758) -> Matrix(82,33,-169,-68) Matrix(3690,-4681,1441,-1828) -> Matrix(8,3,-27,-10) Matrix(1256,-1595,515,-654) -> Matrix(8,3,-27,-10) Matrix(432,-557,197,-254) -> Matrix(8,3,-27,-10) Matrix(222,-289,169,-220) -> Matrix(38,13,-117,-40) Matrix(153,-206,26,-35) -> Matrix(7,2,-18,-5) Matrix(10770,-14641,7921,-10768) -> Matrix(890,243,-3267,-892) Matrix(1130,-1539,699,-952) -> Matrix(56,15,-127,-34) Matrix(240,-329,89,-122) -> Matrix(4,1,-25,-6) Matrix(1828,-2523,1323,-1826) -> Matrix(2,1,-9,-4) Matrix(1283,-1778,578,-801) -> Matrix(7,2,-18,-5) Matrix(1948,-2703,1143,-1586) -> Matrix(16,5,-45,-14) Matrix(1563,-2216,596,-845) -> Matrix(1,0,0,1) Matrix(830,-1179,459,-652) -> Matrix(2,1,-9,-4) Matrix(539,-782,122,-177) -> Matrix(1,0,0,1) Matrix(73,-108,48,-71) -> Matrix(1,0,4,1) Matrix(1509,-2330,590,-911) -> Matrix(1,0,-4,1) Matrix(812,-1257,177,-274) -> Matrix(0,-1,1,2) Matrix(386,-605,245,-384) -> Matrix(2,3,-3,-4) Matrix(2750,-4361,1241,-1968) -> Matrix(10,7,-23,-16) Matrix(846,-1343,383,-608) -> Matrix(2,1,-1,0) Matrix(1703,-2738,1058,-1701) -> Matrix(55,28,-112,-57) Matrix(1768,-2883,1083,-1766) -> Matrix(2,1,-9,-4) Matrix(80,-131,11,-18) -> Matrix(2,1,-9,-4) Matrix(1021,-1738,178,-303) -> Matrix(11,4,8,3) Matrix(210,-361,121,-208) -> Matrix(32,11,-99,-34) Matrix(2140,-3831,591,-1058) -> Matrix(4,1,23,6) Matrix(2932,-5319,1119,-2030) -> Matrix(4,1,-25,-6) Matrix(1204,-2245,325,-606) -> Matrix(4,1,-41,-10) Matrix(808,-1741,181,-390) -> Matrix(2,1,23,12) Matrix(1054,-2277,237,-512) -> Matrix(2,1,-41,-20) Matrix(64,-147,27,-62) -> Matrix(8,3,-27,-10) Matrix(493,-1186,106,-255) -> Matrix(7,2,-18,-5) Matrix(417,-1022,122,-299) -> Matrix(1,0,0,1) Matrix(212,-539,59,-150) -> Matrix(4,1,-25,-6) Matrix(8910,-22801,3481,-8908) -> Matrix(2,1,-9,-4) Matrix(326,-845,125,-324) -> Matrix(14,3,-75,-16) Matrix(904,-2367,207,-542) -> Matrix(6,1,-25,-4) Matrix(162,-529,49,-160) -> Matrix(20,7,-63,-22) Matrix(1223,-4418,338,-1221) -> Matrix(1,0,16,1) Matrix(26,-125,5,-24) -> Matrix(2,1,-9,-4) 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): 64 ----------------------------------------------------------------------- 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 (-1/1,0/1) 0 30 1/7 (-1/1,-3/5) 0 15 2/13 -1/2 4 2 3/19 -1/3 1 15 1/6 (-1/2,-1/3) 0 30 3/17 0/1 6 3 2/11 (1/1,1/0) 0 30 1/5 -1/1 3 5 3/14 (-5/7,-2/3) 0 30 5/23 (-1/1,-3/5) 0 15 2/9 (-5/7,-2/3) 0 30 3/13 (-7/11,-3/5) 0 15 1/4 -1/2 2 6 3/11 -1/3 1 15 5/18 (0/1,1/1) 0 30 7/25 (-1/1,-3/5) 0 15 9/32 (-1/2,-1/3) 0 30 2/7 0/1 2 10 7/24 (-3/2,-1/1) 0 30 5/17 1/1 1 15 3/10 (-3/2,-1/1) 0 30 7/23 -1/1 9 1 1/3 (-1/1,-3/5) 0 15 4/11 -1/2 8 2 7/19 -5/11 1 15 3/8 (-2/5,-1/3) 0 30 8/21 (-1/2,-1/3) 0 30 5/13 -1/3 1 5 2/5 (-1/2,-1/3) 0 30 11/27 1/1 1 15 9/22 (-3/2,-1/1) 0 30 7/17 -1/2 2 5 5/12 (-1/3,0/1) 0 30 3/7 -1/1 1 3 4/9 (-3/5,-1/2) 0 30 5/11 (-1/1,-3/5) 0 15 1/2 -1/2 2 10 7/13 -1/2 6 3 6/11 (-4/9,-3/7) 0 30 5/9 -1/3 1 15 4/7 (-2/5,-1/3) 0 30 11/19 -1/3 3 1 3/5 (-1/1,-1/3) 0 15 11/18 (-1/1,1/0) 0 30 19/31 -1/1 7 3 8/13 -2/3 2 10 13/21 -3/5 1 15 5/8 (-1/2,-3/7) 0 30 12/19 (-1/2,-1/3) 0 30 7/11 -1/3 1 5 9/14 (-1/3,0/1) 0 30 11/17 (-3/1,-1/1) 0 15 2/3 -1/2 2 6 13/19 (-17/39,-3/7) 0 15 11/16 -5/12 2 10 9/13 -1/3 1 15 7/10 (-1/3,0/1) 0 30 12/17 (-1/2,-1/3) 0 30 5/7 -1/2 2 5 13/18 (-1/2,-3/7) 0 30 21/29 -3/7 7 3 29/40 -11/26 2 10 8/11 (-5/12,-7/17) 0 30 11/15 -1/3 1 15 25/34 (-2/5,-1/3) 0 30 14/19 -2/5 2 10 17/23 -2/5 6 3 3/4 (-3/8,-1/3) 0 30 13/17 -1/3 9 1 7/9 (-1/3,-3/11) 0 15 11/14 -1/4 2 6 4/5 0/1 2 10 13/16 (-1/1,-3/4) 0 30 9/11 -1/2 2 3 14/17 (-1/2,-1/3) 0 30 5/6 (-2/5,-1/3) 0 30 11/13 0/1 2 5 6/7 (-1/2,-1/3) 0 30 13/15 (-1/1,-3/5) 0 15 7/8 -1/2 2 2 1/1 -1/3 1 15 8/7 0/1 2 2 7/6 (-1/1,-1/2) 0 30 6/5 (-1/3,0/1) 0 30 11/9 -1/2 2 3 16/13 (-1/2,-1/3) 0 30 5/4 -1/2 2 10 19/15 -1/3 1 15 33/26 (-2/5,-1/3) 0 30 14/11 -2/5 2 6 9/7 (-7/19,-1/3) 0 15 17/13 -1/3 13 1 4/3 (-1/3,-3/10) 0 30 19/14 -5/18 2 10 53/39 (-37/135,-3/11) 0 15 121/89 -3/11 27 1 34/25 (-3/11,-22/81) 0 30 15/11 -5/19 1 15 11/8 (-1/3,-1/4) 0 30 29/21 -1/3 1 3 18/13 (-1/3,-1/4) 0 30 7/5 -1/4 2 5 17/12 (-1/4,-1/5) 0 30 44/31 0/1 2 2 27/19 -1/3 1 15 10/7 (-2/9,-1/5) 0 30 13/9 -1/7 1 15 16/11 0/1 2 10 3/2 0/1 2 6 11/7 -1/1 3 5 19/12 (-1/1,-3/4) 0 30 46/29 -2/3 2 2 27/17 (-1/1,-3/5) 0 15 8/5 (-3/5,-1/2) 0 30 37/23 -1/2 14 1 29/18 (-1/2,-11/23) 0 30 21/13 -5/11 1 15 55/34 (-3/7,-17/40) 0 30 34/21 -2/5 2 6 13/8 -1/2 2 10 44/27 (-2/5,-1/3) 0 30 31/19 -1/3 1 3 18/11 (-1/2,-1/3) 0 30 5/3 (-3/7,-1/3) 0 15 19/11 -1/3 11 1 7/4 (-1/3,-4/13) 0 30 23/13 -2/7 2 5 16/9 -2/7 2 6 9/5 -1/3 1 15 29/16 -1/4 2 2 20/11 (-1/3,-1/4) 0 30 11/6 (-1/3,-2/7) 0 30 13/7 -1/4 6 3 2/1 0/1 2 10 15/7 -3/5 1 15 13/6 (-1/2,-5/11) 0 30 11/5 (-1/1,-1/3) 0 15 31/14 -1/2 2 2 20/9 (-1/2,-1/3) 0 30 9/4 (-1/2,-3/7) 0 30 7/3 -1/3 3 3 12/5 (-2/7,-3/11) 0 30 29/12 (-1/3,-1/4) 0 30 17/7 -1/4 2 5 39/16 -1/4 2 6 22/9 (-1/3,-1/4) 0 30 5/2 (-1/3,-1/4) 0 30 23/9 (-1/3,-1/5) 0 15 151/59 -1/3 1 1 64/25 (-1/3,-1/4) 0 30 41/16 -1/4 2 10 18/7 -1/4 2 6 13/5 -1/5 3 5 21/8 (-1/4,-1/5) 0 30 29/11 -1/6 2 3 8/3 (-1/7,0/1) 0 30 19/7 -1/11 1 15 11/4 0/1 8 2 3/1 (-1/1,-1/3) 0 15 23/7 -1/3 7 1 10/3 (-1/3,-3/10) 0 30 17/5 -1/3 1 15 41/12 (-1/3,-1/4) 0 30 24/7 (-1/3,-1/4) 0 30 7/2 -1/4 2 10 25/7 (-1/5,-1/7) 0 15 18/5 (-1/7,0/1) 0 30 47/13 0/1 8 1 29/8 (0/1,1/1) 0 30 11/3 -1/3 1 15 15/4 (-1/3,-1/4) 0 30 19/5 -1/4 2 5 23/6 (-5/24,-1/5) 0 30 4/1 0/1 2 6 13/3 (-1/3,-1/5) 0 15 22/5 0/1 2 10 31/7 -1/7 1 15 40/9 (-1/15,0/1) 0 30 49/11 0/1 16 1 9/2 (0/1,1/1) 0 30 32/7 -2/3 2 10 23/5 (-1/1,-1/3) 0 15 37/8 -1/2 2 2 14/3 (-1/1,0/1) 0 30 5/1 -1/3 1 5 11/2 (-1/4,-1/5) 0 30 17/3 0/1 6 3 23/4 1/0 2 10 6/1 (-1/3,-1/4) 0 30 19/3 -1/7 1 15 13/2 0/1 4 2 7/1 (-1/1,-1/3) 0 15 1/0 (-1/3,0/1) 0 30 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(80,-11,131,-18) (0/1,1/7) -> (3/5,11/18) Hyperbolic Matrix(182,-27,27,-4) (1/7,2/13) -> (13/2,7/1) Hyperbolic Matrix(494,-77,77,-12) (2/13,3/19) -> (19/3,13/2) Hyperbolic Matrix(881,-140,258,-41) (3/19,1/6) -> (17/5,41/12) Glide Reflection Matrix(153,-26,206,-35) (1/6,3/17) -> (17/23,3/4) Hyperbolic Matrix(330,-59,179,-32) (3/17,2/11) -> (11/6,13/7) Hyperbolic Matrix(26,-5,125,-24) (2/11,1/5) -> (1/5,3/14) Parabolic Matrix(320,-69,371,-80) (3/14,5/23) -> (6/7,13/15) Glide Reflection Matrix(270,-59,961,-210) (5/23,2/9) -> (7/25,9/32) Glide Reflection Matrix(268,-61,123,-28) (2/9,3/13) -> (13/6,11/5) Glide Reflection Matrix(218,-51,171,-40) (3/13,1/4) -> (14/11,9/7) Hyperbolic Matrix(212,-57,119,-32) (1/4,3/11) -> (16/9,9/5) Glide Reflection Matrix(517,-142,142,-39) (3/11,5/18) -> (29/8,11/3) Hyperbolic Matrix(423,-118,656,-183) (5/18,7/25) -> (9/14,11/17) Glide Reflection Matrix(724,-205,445,-126) (9/32,2/7) -> (13/8,44/27) Hyperbolic Matrix(187,-54,232,-67) (2/7,7/24) -> (4/5,13/16) Glide Reflection Matrix(417,-122,1022,-299) (7/24,5/17) -> (11/27,9/22) Hyperbolic Matrix(300,-89,209,-62) (5/17,3/10) -> (10/7,13/9) Hyperbolic Matrix(139,-42,460,-139) (3/10,7/23) -> (3/10,7/23) Reflection Matrix(22,-7,69,-22) (7/23,1/3) -> (7/23,1/3) Reflection Matrix(66,-23,23,-8) (1/3,4/11) -> (11/4,3/1) Hyperbolic Matrix(418,-153,153,-56) (4/11,7/19) -> (19/7,11/4) Hyperbolic Matrix(240,-89,329,-122) (7/19,3/8) -> (8/11,11/15) Hyperbolic Matrix(217,-82,262,-99) (3/8,8/21) -> (14/17,5/6) Hyperbolic Matrix(303,-116,478,-183) (8/21,5/13) -> (12/19,7/11) Glide Reflection Matrix(152,-59,237,-92) (5/13,2/5) -> (7/11,9/14) Glide Reflection Matrix(257,-104,42,-17) (2/5,11/27) -> (6/1,19/3) Glide Reflection Matrix(809,-332,212,-87) (9/22,7/17) -> (19/5,23/6) Hyperbolic Matrix(234,-97,275,-114) (7/17,5/12) -> (11/13,6/7) Glide Reflection Matrix(64,-27,147,-62) (5/12,3/7) -> (3/7,4/9) Parabolic Matrix(331,-148,208,-93) (4/9,5/11) -> (27/17,8/5) Hyperbolic Matrix(268,-123,61,-28) (5/11,1/2) -> (13/3,22/5) Glide Reflection Matrix(216,-115,293,-156) (1/2,7/13) -> (14/19,17/23) Glide Reflection Matrix(330,-179,59,-32) (7/13,6/11) -> (11/2,17/3) Hyperbolic Matrix(387,-212,272,-149) (6/11,5/9) -> (27/19,10/7) Hyperbolic Matrix(212,-119,57,-32) (5/9,4/7) -> (11/3,15/4) Glide Reflection Matrix(153,-88,266,-153) (4/7,11/19) -> (4/7,11/19) Reflection Matrix(56,-33,95,-56) (11/19,3/5) -> (11/19,3/5) Reflection Matrix(781,-478,1080,-661) (11/18,19/31) -> (13/18,21/29) Glide Reflection Matrix(1172,-719,1617,-992) (19/31,8/13) -> (21/29,29/40) Glide Reflection Matrix(352,-217,279,-172) (8/13,13/21) -> (5/4,19/15) Glide Reflection Matrix(777,-482,482,-299) (13/21,5/8) -> (29/18,21/13) Hyperbolic Matrix(331,-208,148,-93) (5/8,12/19) -> (20/9,9/4) Hyperbolic Matrix(73,-48,108,-71) (11/17,2/3) -> (2/3,13/19) Parabolic Matrix(1209,-830,890,-611) (13/19,11/16) -> (19/14,53/39) Hyperbolic Matrix(266,-183,125,-86) (11/16,9/13) -> (2/1,15/7) Glide Reflection Matrix(300,-209,89,-62) (9/13,7/10) -> (10/3,17/5) Hyperbolic Matrix(387,-272,212,-149) (7/10,12/17) -> (20/11,11/6) Hyperbolic Matrix(245,-174,176,-125) (12/17,5/7) -> (18/13,7/5) Glide Reflection Matrix(245,-176,174,-125) (5/7,13/18) -> (7/5,17/12) Glide Reflection Matrix(712,-517,157,-114) (29/40,8/11) -> (9/2,32/7) Hyperbolic Matrix(1141,-838,900,-661) (11/15,25/34) -> (19/15,33/26) Glide Reflection Matrix(2610,-1921,1019,-750) (25/34,14/19) -> (64/25,41/16) Glide Reflection Matrix(103,-78,136,-103) (3/4,13/17) -> (3/4,13/17) Reflection Matrix(118,-91,153,-118) (13/17,7/9) -> (13/17,7/9) Reflection Matrix(218,-171,51,-40) (7/9,11/14) -> (4/1,13/3) Hyperbolic Matrix(352,-279,217,-172) (11/14,4/5) -> (34/21,13/8) Glide Reflection Matrix(695,-566,264,-215) (13/16,9/11) -> (21/8,29/11) Glide Reflection Matrix(363,-298,296,-243) (9/11,14/17) -> (11/9,16/13) Glide Reflection Matrix(229,-192,130,-109) (5/6,11/13) -> (7/4,23/13) Glide Reflection Matrix(739,-642,160,-139) (13/15,7/8) -> (23/5,37/8) Glide Reflection Matrix(16,-15,15,-14) (7/8,1/1) -> (1/1,8/7) Parabolic Matrix(320,-371,69,-80) (8/7,7/6) -> (37/8,14/3) Glide Reflection Matrix(234,-275,97,-114) (7/6,6/5) -> (12/5,29/12) Glide Reflection Matrix(217,-262,82,-99) (6/5,11/9) -> (29/11,8/3) Hyperbolic Matrix(187,-232,54,-67) (16/13,5/4) -> (24/7,7/2) Glide Reflection Matrix(1256,-1595,515,-654) (33/26,14/11) -> (39/16,22/9) Hyperbolic Matrix(118,-153,91,-118) (9/7,17/13) -> (9/7,17/13) Reflection Matrix(103,-136,78,-103) (17/13,4/3) -> (17/13,4/3) Reflection Matrix(153,-206,26,-35) (4/3,19/14) -> (23/4,6/1) Hyperbolic Matrix(4718,-6413,3471,-4718) (53/39,121/89) -> (53/39,121/89) Reflection Matrix(6051,-8228,4450,-6051) (121/89,34/25) -> (121/89,34/25) Reflection Matrix(1130,-1539,699,-952) (34/25,15/11) -> (21/13,55/34) Hyperbolic Matrix(240,-329,89,-122) (15/11,11/8) -> (8/3,19/7) Hyperbolic Matrix(1172,-1617,719,-992) (11/8,29/21) -> (44/27,31/19) Glide Reflection Matrix(781,-1080,478,-661) (29/21,18/13) -> (31/19,18/11) Glide Reflection Matrix(1141,-1618,720,-1021) (17/12,44/31) -> (19/12,46/29) Glide Reflection Matrix(830,-1179,459,-652) (44/31,27/19) -> (9/5,29/16) Hyperbolic Matrix(539,-782,122,-177) (13/9,16/11) -> (22/5,31/7) Hyperbolic Matrix(280,-411,109,-160) (16/11,3/2) -> (41/16,18/7) Glide Reflection Matrix(152,-237,59,-92) (3/2,11/7) -> (18/7,13/5) Glide Reflection Matrix(303,-478,116,-183) (11/7,19/12) -> (13/5,21/8) Glide Reflection Matrix(846,-1343,383,-608) (46/29,27/17) -> (11/5,31/14) Hyperbolic Matrix(369,-592,230,-369) (8/5,37/23) -> (8/5,37/23) Reflection Matrix(1333,-2146,828,-1333) (37/23,29/18) -> (37/23,29/18) Reflection Matrix(619,-1002,160,-259) (55/34,34/21) -> (23/6,4/1) Glide Reflection Matrix(80,-131,11,-18) (18/11,5/3) -> (7/1,1/0) Hyperbolic Matrix(56,-95,33,-56) (5/3,19/11) -> (5/3,19/11) Reflection Matrix(153,-266,88,-153) (19/11,7/4) -> (19/11,7/4) Reflection Matrix(660,-1169,271,-480) (23/13,16/9) -> (17/7,39/16) Glide Reflection Matrix(661,-1200,298,-541) (29/16,20/11) -> (31/14,20/9) Glide Reflection Matrix(178,-333,31,-58) (13/7,2/1) -> (17/3,23/4) Glide Reflection Matrix(466,-1003,105,-226) (15/7,13/6) -> (31/7,40/9) Glide Reflection Matrix(64,-147,27,-62) (9/4,7/3) -> (7/3,12/5) Parabolic Matrix(333,-806,88,-213) (29/12,17/7) -> (15/4,19/5) Glide Reflection Matrix(417,-1022,122,-299) (22/9,5/2) -> (41/12,24/7) Hyperbolic Matrix(212,-539,59,-150) (5/2,23/9) -> (25/7,18/5) Hyperbolic Matrix(1358,-3473,531,-1358) (23/9,151/59) -> (23/9,151/59) Reflection Matrix(7551,-19328,2950,-7551) (151/59,64/25) -> (151/59,64/25) Reflection Matrix(22,-69,7,-22) (3/1,23/7) -> (3/1,23/7) Reflection Matrix(139,-460,42,-139) (23/7,10/3) -> (23/7,10/3) Reflection Matrix(270,-961,59,-210) (7/2,25/7) -> (32/7,23/5) Glide Reflection Matrix(469,-1692,130,-469) (18/5,47/13) -> (18/5,47/13) Reflection Matrix(753,-2726,208,-753) (47/13,29/8) -> (47/13,29/8) Reflection Matrix(881,-3920,198,-881) (40/9,49/11) -> (40/9,49/11) Reflection Matrix(197,-882,44,-197) (49/11,9/2) -> (49/11,9/2) Reflection Matrix(26,-125,5,-24) (14/3,5/1) -> (5/1,11/2) Parabolic IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(-1,0,6,1) (-1/1,1/0) -> (-1/3,0/1) Matrix(-1,0,2,1) -> Matrix(-1,0,2,1) (-1/1,0/1) -> (-1/1,0/1) Matrix(80,-11,131,-18) -> Matrix(2,1,-1,0) -1/1 Matrix(182,-27,27,-4) -> Matrix(2,1,-1,0) -1/1 Matrix(494,-77,77,-12) -> Matrix(2,1,-17,-8) Matrix(881,-140,258,-41) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(153,-26,206,-35) -> Matrix(7,2,-18,-5) -1/3 Matrix(330,-59,179,-32) -> Matrix(2,-1,-7,4) Matrix(26,-5,125,-24) -> Matrix(2,3,-3,-4) -1/1 Matrix(320,-69,371,-80) -> Matrix(4,3,-5,-4) *** -> (-1/1,-3/5) Matrix(270,-59,961,-210) -> Matrix(4,3,-5,-4) *** -> (-1/1,-3/5) Matrix(268,-61,123,-28) -> Matrix(8,5,-19,-12) Matrix(218,-51,171,-40) -> Matrix(12,7,-31,-18) Matrix(212,-57,119,-32) -> Matrix(4,1,-15,-4) *** -> (-1/3,-1/5) Matrix(517,-142,142,-39) -> Matrix(1,0,0,1) Matrix(423,-118,656,-183) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(724,-205,445,-126) -> Matrix(4,1,-9,-2) -1/3 Matrix(187,-54,232,-67) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(417,-122,1022,-299) -> Matrix(1,0,0,1) Matrix(300,-89,209,-62) -> Matrix(0,-1,1,6) Matrix(139,-42,460,-139) -> Matrix(5,6,-4,-5) (3/10,7/23) -> (-3/2,-1/1) Matrix(22,-7,69,-22) -> Matrix(4,3,-5,-4) (7/23,1/3) -> (-1/1,-3/5) Matrix(66,-23,23,-8) -> Matrix(2,1,-1,0) -1/1 Matrix(418,-153,153,-56) -> Matrix(2,1,-33,-16) Matrix(240,-89,329,-122) -> Matrix(20,9,-49,-22) -3/7 Matrix(217,-82,262,-99) -> Matrix(1,0,0,1) Matrix(303,-116,478,-183) -> Matrix(5,2,-12,-5) *** -> (-1/2,-1/3) Matrix(152,-59,237,-92) -> Matrix(2,1,-3,-2) *** -> (-1/1,-1/3) Matrix(257,-104,42,-17) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(809,-332,212,-87) -> Matrix(3,2,-14,-9) Matrix(234,-97,275,-114) -> Matrix(2,1,-3,-2) *** -> (-1/1,-1/3) Matrix(64,-27,147,-62) -> Matrix(0,-1,1,2) -1/1 Matrix(331,-148,208,-93) -> Matrix(1,0,0,1) Matrix(268,-123,61,-28) -> Matrix(2,1,-11,-6) Matrix(216,-115,293,-156) -> Matrix(8,3,-21,-8) *** -> (-3/7,-1/3) Matrix(330,-179,59,-32) -> Matrix(2,1,-17,-8) Matrix(387,-212,272,-149) -> Matrix(5,2,-18,-7) -1/3 Matrix(212,-119,57,-32) -> Matrix(2,1,-3,-2) *** -> (-1/1,-1/3) Matrix(153,-88,266,-153) -> Matrix(11,4,-30,-11) (4/7,11/19) -> (-2/5,-1/3) Matrix(56,-33,95,-56) -> Matrix(2,1,-3,-2) (11/19,3/5) -> (-1/1,-1/3) Matrix(781,-478,1080,-661) -> Matrix(1,4,-2,-9) Matrix(1172,-719,1617,-992) -> Matrix(20,17,-47,-40) Matrix(352,-217,279,-172) -> Matrix(8,5,-19,-12) Matrix(777,-482,482,-299) -> Matrix(15,8,-32,-17) -1/2 Matrix(331,-208,148,-93) -> Matrix(1,0,0,1) Matrix(73,-48,108,-71) -> Matrix(7,4,-16,-9) -1/2 Matrix(1209,-830,890,-611) -> Matrix(71,30,-258,-109) Matrix(266,-183,125,-86) -> Matrix(12,5,-19,-8) Matrix(300,-209,89,-62) -> Matrix(8,3,-27,-10) -1/3 Matrix(387,-272,212,-149) -> Matrix(5,2,-18,-7) -1/3 Matrix(245,-174,176,-125) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(245,-176,174,-125) -> Matrix(9,4,-38,-17) Matrix(712,-517,157,-114) -> Matrix(12,5,-5,-2) Matrix(1141,-838,900,-661) -> Matrix(11,4,-30,-11) *** -> (-2/5,-1/3) Matrix(2610,-1921,1019,-750) -> Matrix(2,1,-3,-2) *** -> (-1/1,-1/3) Matrix(103,-78,136,-103) -> Matrix(17,6,-48,-17) (3/4,13/17) -> (-3/8,-1/3) Matrix(118,-91,153,-118) -> Matrix(10,3,-33,-10) (13/17,7/9) -> (-1/3,-3/11) Matrix(218,-171,51,-40) -> Matrix(4,1,-9,-2) -1/3 Matrix(352,-279,217,-172) -> Matrix(2,1,-3,-2) *** -> (-1/1,-1/3) Matrix(695,-566,264,-215) -> Matrix(3,2,-16,-11) Matrix(363,-298,296,-243) -> Matrix(5,2,-12,-5) *** -> (-1/2,-1/3) Matrix(229,-192,130,-109) -> Matrix(7,2,-24,-7) *** -> (-1/3,-1/4) Matrix(739,-642,160,-139) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(16,-15,15,-14) -> Matrix(2,1,-9,-4) -1/3 Matrix(320,-371,69,-80) -> Matrix(2,1,-3,-2) *** -> (-1/1,-1/3) Matrix(234,-275,97,-114) -> Matrix(4,1,-15,-4) *** -> (-1/3,-1/5) Matrix(217,-262,82,-99) -> Matrix(1,0,-4,1) 0/1 Matrix(187,-232,54,-67) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(1256,-1595,515,-654) -> Matrix(8,3,-27,-10) -1/3 Matrix(118,-153,91,-118) -> Matrix(20,7,-57,-20) (9/7,17/13) -> (-7/19,-1/3) Matrix(103,-136,78,-103) -> Matrix(19,6,-60,-19) (17/13,4/3) -> (-1/3,-3/10) Matrix(153,-206,26,-35) -> Matrix(7,2,-18,-5) -1/3 Matrix(4718,-6413,3471,-4718) -> Matrix(406,111,-1485,-406) (53/39,121/89) -> (-37/135,-3/11) Matrix(6051,-8228,4450,-6051) -> Matrix(485,132,-1782,-485) (121/89,34/25) -> (-3/11,-22/81) Matrix(1130,-1539,699,-952) -> Matrix(56,15,-127,-34) Matrix(240,-329,89,-122) -> Matrix(4,1,-25,-6) -1/5 Matrix(1172,-1617,719,-992) -> Matrix(2,1,-3,-2) *** -> (-1/1,-1/3) Matrix(781,-1080,478,-661) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(1141,-1618,720,-1021) -> Matrix(11,2,-16,-3) Matrix(830,-1179,459,-652) -> Matrix(2,1,-9,-4) -1/3 Matrix(539,-782,122,-177) -> Matrix(1,0,0,1) Matrix(280,-411,109,-160) -> Matrix(4,1,-15,-4) *** -> (-1/3,-1/5) Matrix(152,-237,59,-92) -> Matrix(0,1,1,-4) Matrix(303,-478,116,-183) -> Matrix(3,2,-16,-11) Matrix(846,-1343,383,-608) -> Matrix(2,1,-1,0) -1/1 Matrix(369,-592,230,-369) -> Matrix(11,6,-20,-11) (8/5,37/23) -> (-3/5,-1/2) Matrix(1333,-2146,828,-1333) -> Matrix(45,22,-92,-45) (37/23,29/18) -> (-1/2,-11/23) Matrix(619,-1002,160,-259) -> Matrix(5,2,-32,-13) Matrix(80,-131,11,-18) -> Matrix(2,1,-9,-4) -1/3 Matrix(56,-95,33,-56) -> Matrix(8,3,-21,-8) (5/3,19/11) -> (-3/7,-1/3) Matrix(153,-266,88,-153) -> Matrix(25,8,-78,-25) (19/11,7/4) -> (-1/3,-4/13) Matrix(660,-1169,271,-480) -> Matrix(10,3,-33,-10) *** -> (-1/3,-3/11) Matrix(661,-1200,298,-541) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(178,-333,31,-58) -> Matrix(4,1,1,0) Matrix(466,-1003,105,-226) -> Matrix(2,1,-19,-10) Matrix(64,-147,27,-62) -> Matrix(8,3,-27,-10) -1/3 Matrix(333,-806,88,-213) -> Matrix(7,2,-24,-7) *** -> (-1/3,-1/4) Matrix(417,-1022,122,-299) -> Matrix(1,0,0,1) Matrix(212,-539,59,-150) -> Matrix(4,1,-25,-6) -1/5 Matrix(1358,-3473,531,-1358) -> Matrix(4,1,-15,-4) (23/9,151/59) -> (-1/3,-1/5) Matrix(7551,-19328,2950,-7551) -> Matrix(7,2,-24,-7) (151/59,64/25) -> (-1/3,-1/4) Matrix(22,-69,7,-22) -> Matrix(2,1,-3,-2) (3/1,23/7) -> (-1/1,-1/3) Matrix(139,-460,42,-139) -> Matrix(19,6,-60,-19) (23/7,10/3) -> (-1/3,-3/10) Matrix(270,-961,59,-210) -> Matrix(6,1,-11,-2) Matrix(469,-1692,130,-469) -> Matrix(-1,0,14,1) (18/5,47/13) -> (-1/7,0/1) Matrix(753,-2726,208,-753) -> Matrix(1,0,2,-1) (47/13,29/8) -> (0/1,1/1) Matrix(881,-3920,198,-881) -> Matrix(-1,0,30,1) (40/9,49/11) -> (-1/15,0/1) Matrix(197,-882,44,-197) -> Matrix(1,0,2,-1) (49/11,9/2) -> (0/1,1/1) Matrix(26,-125,5,-24) -> Matrix(2,1,-9,-4) -1/3 ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.