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 -17/37 -4/9 -3/7 -7/17 -3/8 -7/19 -11/31 -1/3 -9/29 -5/17 -2/7 -3/13 -1/5 -1/6 -1/7 -3/23 0/1 1/9 1/7 3/17 1/4 13/47 7/23 1/3 3/7 1/2 7/13 11/19 3/5 2/3 41/59 5/7 13/17 7/9 9/11 13/15 7/8 1/1 13/11 11/9 67/53 14/11 9/7 17/13 23/17 93/67 7/5 41/29 47/33 3/2 61/39 11/7 49/31 27/17 31/19 5/3 19/11 23/13 16/9 77/43 9/5 13/7 2/1 41/19 11/5 7/3 31/13 141/59 17/7 5/2 23/9 18/7 101/39 13/5 29/11 35/13 117/43 41/15 11/4 25/9 3/1 61/19 23/7 10/3 17/5 31/9 7/2 39/11 25/7 47/13 11/3 63/17 71/19 19/5 27/7 4/1 21/5 13/3 9/2 23/5 14/3 33/7 5/1 21/4 37/7 16/3 27/5 439/81 11/2 17/3 6/1 69/11 19/3 45/7 13/2 33/5 7/1 22/3 37/5 15/2 23/3 8/1 25/3 17/2 9/1 10/1 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 1/3 -8/17 0/1 1/1 -7/15 1/3 -13/28 1/2 -19/41 0/1 1/1 -6/13 1/4 1/3 -17/37 1/3 -11/24 1/3 2/5 -16/35 1/3 1/2 -5/11 0/1 1/3 -14/31 1/3 6/17 -9/20 2/5 1/2 -13/29 0/1 2/5 -4/9 1/3 -19/43 1/2 -15/34 1/3 1/2 -26/59 1/3 1/2 -11/25 1/3 1/2 -7/16 0/1 1/3 -17/39 1/3 2/5 -10/23 1/3 2/5 -13/30 1/3 2/5 -3/7 0/1 1/3 1/2 -17/40 1/3 2/5 -31/73 1/3 1/2 -14/33 1/3 1/2 -11/26 1/3 -30/71 1/3 2/5 -49/116 5/13 2/5 -19/45 2/5 1/2 -27/64 0/1 1/2 -35/83 0/1 2/5 -8/19 2/5 1/2 -13/31 0/1 1/2 -31/74 0/1 1/2 -18/43 1/2 -23/55 0/1 -5/12 1/3 1/2 -22/53 0/1 1/3 -17/41 1/3 -12/29 2/5 3/7 -7/17 1/2 -16/39 0/1 1/3 -9/22 0/1 1/3 -11/27 0/1 2/5 -2/5 0/1 1/2 -9/23 1/2 1/1 -16/41 1/1 -23/59 0/1 1/1 1/0 -30/77 -1/1 1/0 -37/95 -1/3 0/1 -7/18 0/1 1/4 -5/13 1/2 -8/21 0/1 1/1 -19/50 -1/5 0/1 -11/29 0/1 1/4 -14/37 2/7 1/3 -3/8 1/2 -16/43 0/1 1/1 -13/35 0/1 1/1 -10/27 -1/1 0/1 -27/73 0/1 1/6 -17/46 0/1 1/4 -24/65 0/1 1/3 -7/19 0/1 1/3 1/2 -32/87 1/2 -25/68 0/1 1/2 -43/117 0/1 1/3 -18/49 0/1 1/3 -11/30 1/3 1/2 -15/41 2/5 1/2 -4/11 1/2 1/1 -13/36 2/3 1/1 -9/25 0/1 -14/39 1/3 -5/14 0/1 1/3 -11/31 1/2 -17/48 2/3 1/1 -6/17 0/1 1/2 -13/37 1/2 -7/20 0/1 1/1 -15/43 0/1 1/3 1/2 -8/23 1/2 -1/3 0/1 1/2 -7/22 1/2 -13/41 0/1 1/2 1/1 -6/19 0/1 1/3 -11/35 1/2 -5/16 0/1 1/2 -9/29 1/2 -13/42 1/2 2/3 -4/13 0/1 1/1 -11/36 1/1 -7/23 0/1 -10/33 1/3 2/5 -3/10 1/3 1/2 -14/47 1/2 5/9 -11/37 1/2 2/3 -8/27 1/2 1/1 -13/44 0/1 1/1 -31/105 0/1 1/1 -49/166 0/1 1/0 -18/61 0/1 1/2 -5/17 0/1 1/2 1/1 -17/58 0/1 1/1 -12/41 0/1 1/0 -19/65 -1/2 0/1 -26/89 -1/9 0/1 -7/24 0/1 1/5 -9/31 0/1 1/3 -2/7 1/2 -9/32 1/1 2/1 -7/25 0/1 1/0 -19/68 -1/9 0/1 -12/43 0/1 1/9 -5/18 0/1 1/3 -3/11 1/2 -4/15 0/1 1/0 -17/64 1/5 1/4 -13/49 0/1 1/4 1/3 -9/34 1/3 -5/19 1/3 1/2 -1/4 0/1 1/2 -5/21 0/1 2/3 -9/38 0/1 1/2 -4/17 0/1 1/1 -3/13 1/2 -8/35 3/5 2/3 -5/22 3/5 2/3 -7/31 1/1 -9/40 0/1 1/1 -2/9 1/2 1/1 -9/41 0/1 -7/32 1/2 -19/87 0/1 1/2 1/1 -12/55 0/1 1/2 -5/23 0/1 1/2 -8/37 2/5 1/2 -3/14 1/2 2/3 -13/61 0/1 2/3 -10/47 0/1 1/2 -7/33 1/2 2/3 -25/118 7/11 2/3 -18/85 2/3 5/7 -11/52 2/3 1/1 -4/19 1/1 -5/24 1/2 1/1 -1/5 0/1 1/2 1/1 -5/26 1/2 1/1 -14/73 1/2 1/1 -9/47 1/2 1/1 -4/21 2/3 1/1 -3/16 2/3 1/1 -8/43 1/2 -5/27 2/3 1/1 -7/38 4/5 1/1 -2/11 0/1 1/1 -3/17 1/2 1/1 -10/57 1/2 1/1 -7/40 1/2 1/1 -4/23 1/2 1/1 -5/29 1/2 -1/6 1/1 -3/19 0/1 2/3 -5/32 2/3 1/1 -2/13 1/2 2/3 -3/20 6/7 1/1 -4/27 1/1 6/5 -1/7 0/1 1/1 -3/22 1/2 1/1 -2/15 2/3 1/1 -3/23 1/1 -1/8 1/1 1/0 -4/33 -1/4 0/1 -7/58 0/1 1/10 -3/25 0/1 1/3 -2/17 1/2 -1/9 1/1 -1/10 0/1 1/3 0/1 0/1 1/1 1/10 0/1 1/2 1/9 1/1 2/17 1/1 1/0 1/8 -1/1 0/1 2/15 2/3 1/1 3/22 1/2 1/7 1/1 4/27 5/3 2/1 3/20 0/1 1/1 2/13 1/0 3/19 -1/1 0/1 1/6 1/2 1/1 3/17 1/1 2/11 1/1 2/1 7/38 1/0 12/65 2/1 1/0 5/27 0/1 2/1 3/16 1/1 1/0 4/21 1/1 1/5 0/1 1/1 3/14 1/1 6/5 8/37 3/2 5/23 1/1 3/2 2/1 2/9 2/1 1/0 3/13 0/1 2/1 7/30 2/1 1/0 4/17 1/1 1/0 5/21 0/1 1/0 1/4 1/1 5/19 1/0 9/34 0/1 1/0 4/15 1/1 1/0 15/56 2/1 3/1 11/41 0/1 1/1 1/0 18/67 1/0 7/26 1/1 1/0 3/11 1/1 1/0 8/29 2/1 1/0 13/47 1/0 5/18 -1/1 0/1 7/25 0/1 9/32 0/1 1/1 2/7 0/1 1/1 5/17 1/1 2/1 3/10 1/1 2/1 10/33 2/1 1/0 7/23 1/0 18/59 0/1 1/0 29/95 -1/1 0/1 1/0 11/36 1/1 1/0 4/13 1/1 2/1 1/3 0/1 1/1 1/0 6/17 1/1 2/1 11/31 1/1 1/0 5/14 1/1 1/0 4/11 1/1 11/30 1/1 2/1 18/49 5/3 2/1 7/19 2/1 1/0 17/46 3/1 4/1 27/73 1/0 10/27 0/1 1/0 13/35 0/1 2/1 3/8 2/1 1/0 5/13 0/1 1/0 17/44 1/1 1/0 12/31 0/1 1/0 7/18 1/0 9/23 0/1 11/28 0/1 1/1 2/5 1/1 1/0 11/27 1/1 1/0 9/22 0/1 1/1 16/39 1/1 7/17 1/1 12/29 1/1 2/1 17/41 1/1 2/1 5/12 2/1 3/1 3/7 1/0 7/16 0/1 1/1 18/41 -1/1 1/0 11/25 -1/1 0/1 1/0 15/34 -1/5 0/1 4/9 0/1 1/1 5/11 0/1 2/1 6/13 1/1 1/0 7/15 1/1 2/1 8/17 1/0 1/2 0/1 1/0 7/13 1/0 13/24 -6/1 1/0 19/35 -4/1 1/0 6/11 -3/1 -2/1 17/31 -2/1 11/20 -2/1 -1/1 5/9 -1/1 1/0 19/34 -1/1 -2/3 33/59 -1/1 -1/2 0/1 14/25 -1/1 0/1 9/16 -1/1 31/55 -1/1 0/1 22/39 -1/1 -1/2 13/23 -1/1 -1/2 0/1 17/30 -1/2 -1/3 21/37 -1/5 0/1 4/7 0/1 1/2 19/33 0/1 1/1 1/0 15/26 0/1 1/1 11/19 1/1 7/12 1/1 1/0 17/29 0/1 1/0 27/46 1/2 1/1 37/63 1/1 10/17 1/1 2/1 3/5 1/0 11/18 -2/1 -3/2 30/49 -2/1 -1/1 19/31 -1/1 27/44 -1/1 0/1 8/13 -1/1 1/0 13/21 -2/1 1/0 31/50 -2/1 -1/1 49/79 -2/1 18/29 -3/2 -1/1 5/8 -1/1 0/1 22/35 -1/1 0/1 17/27 -1/2 -1/3 0/1 46/73 -1/3 0/1 29/46 -1/3 41/65 -1/4 0/1 12/19 -1/7 0/1 7/11 0/1 1/2 23/36 1/2 1/1 39/61 1/1 16/25 0/1 1/1 9/14 2/3 1/1 20/31 3/2 2/1 11/17 1/1 2/1 1/0 24/37 1/1 1/0 13/20 1/1 1/0 2/3 1/0 13/19 -2/1 0/1 24/35 -1/1 1/0 11/16 -1/1 0/1 9/13 -1/1 0/1 25/36 -1/1 1/0 41/59 -1/1 16/23 -1/1 0/1 23/33 -1/1 7/10 -1/3 0/1 19/27 0/1 1/4 31/44 1/3 43/61 1/2 12/17 0/1 1/2 41/58 1/2 1/1 29/41 1/1 46/65 -1/1 0/1 17/24 0/1 1/1 22/31 1/1 2/1 5/7 0/1 1/1 1/0 28/39 1/1 2/1 23/32 1/0 18/25 0/1 1/0 31/43 0/1 1/1 44/61 1/1 13/18 0/1 1/1 8/11 1/1 1/0 27/37 0/1 2/1 19/26 1/1 30/41 2/1 7/3 11/15 2/1 1/0 3/4 -1/1 1/0 19/25 0/1 1/1 1/0 16/21 0/1 1/0 13/17 1/0 23/30 -2/1 -1/1 10/13 -2/1 -1/1 27/35 0/1 1/0 17/22 -1/1 0/1 7/9 0/1 25/32 2/3 1/1 18/23 0/1 1/1 29/37 1/1 1/0 11/14 1/1 15/19 2/1 1/0 19/24 -4/1 1/0 42/53 1/0 23/29 -2/1 -1/1 1/0 4/5 0/1 1/1 9/11 1/0 14/17 -2/1 -1/1 33/40 -1/1 1/0 52/63 1/0 19/23 -1/1 1/0 24/29 -1/1 0/1 5/6 0/1 1/0 11/13 1/0 17/20 0/1 1/0 6/7 -1/1 0/1 19/22 0/1 1/1 13/15 0/1 1/1 1/0 20/23 -2/1 1/0 7/8 1/0 15/17 0/1 8/9 -1/1 0/1 1/1 0/1 1/0 10/9 -1/1 1/0 9/8 0/1 1/1 8/7 1/0 23/20 2/1 1/0 15/13 -1/1 0/1 1/0 7/6 0/1 1/1 27/23 1/0 20/17 0/1 1/0 33/28 1/1 1/0 13/11 1/0 19/16 -1/1 25/21 -1/2 0/1 6/5 0/1 1/0 11/9 1/0 16/13 -2/1 1/0 37/30 -2/1 -1/1 21/17 -1/1 1/0 26/21 -1/1 1/0 5/4 -1/1 0/1 34/27 1/1 1/0 29/23 1/1 2/1 1/0 24/19 4/1 1/0 67/53 1/0 43/34 -8/1 1/0 19/15 -2/1 1/0 33/26 -1/1 1/0 14/11 -1/1 37/29 -1/1 1/0 60/47 -1/1 -2/3 23/18 -1/1 0/1 9/7 0/1 31/24 1/1 22/17 0/1 1/1 79/61 1/1 57/44 1/1 1/0 35/27 0/1 1/0 13/10 1/1 2/1 30/23 1/1 2/1 17/13 1/0 38/29 -1/1 0/1 21/16 0/1 1/0 4/3 1/1 1/0 23/17 1/0 42/31 -11/1 1/0 19/14 -5/1 1/0 15/11 -2/1 1/0 41/30 -7/3 -2/1 67/49 -2/1 -3/2 -1/1 26/19 -1/1 11/8 -1/1 1/0 29/21 -1/1 47/34 -1/1 0/1 18/13 -1/1 0/1 43/31 -1/1 0/1 68/49 -1/2 0/1 93/67 0/1 118/85 0/1 1/2 25/18 0/1 1/0 7/5 -1/1 0/1 1/0 31/22 -2/1 -1/1 86/61 -1/1 -4/5 55/39 -1/1 -1/2 24/17 -1/1 0/1 65/46 0/1 1/1 41/29 -1/1 99/70 -2/3 -3/5 58/41 -1/1 -1/2 75/53 -2/3 0/1 17/12 -1/2 0/1 61/43 -1/2 44/31 -1/3 115/81 -1/2 -1/3 0/1 186/131 -1/2 0/1 71/50 -1/3 0/1 27/19 -1/4 0/1 37/26 -1/11 0/1 47/33 0/1 57/40 0/1 1/17 10/7 0/1 1/3 33/23 1/1 56/39 1/1 23/16 0/1 1/1 59/41 1/1 36/25 1/1 1/0 49/34 2/1 1/0 62/43 1/0 13/9 0/1 1/1 3/2 1/0 23/15 -1/1 1/0 20/13 -1/1 1/0 37/24 -1/1 1/0 17/11 -2/1 -1/1 1/0 65/42 -3/1 -2/1 48/31 -2/1 -1/1 31/20 -2/1 -3/2 14/9 -1/1 -2/3 39/25 0/1 25/16 -1/1 0/1 61/39 -1/1 36/23 -1/1 -1/2 47/30 -1/2 0/1 11/7 -1/2 0/1 30/19 -1/11 0/1 49/31 0/1 68/43 0/1 1/25 19/12 0/1 1/7 46/29 1/3 73/46 0/1 1/3 100/63 0/1 1/2 27/17 0/1 1/3 1/2 62/39 1/3 1/2 35/22 0/1 1/1 8/5 0/1 1/1 37/23 1/1 29/18 1/1 3/2 50/31 1/1 2/1 71/44 1/1 21/13 2/1 1/0 76/47 -4/1 1/0 131/81 -2/1 -1/1 1/0 55/34 0/1 1/1 34/21 1/1 13/8 1/1 1/0 44/27 0/1 1/1 31/19 1/1 80/49 1/1 2/1 49/30 1/1 2/1 116/71 2/1 3/1 67/41 1/1 2/1 1/0 18/11 3/2 2/1 5/3 1/0 17/10 -2/1 -1/1 63/37 -1/1 46/27 -1/1 -1/2 75/44 -1/1 0/1 29/17 0/1 1/0 41/24 -1/1 12/7 -1/1 1/0 31/18 -2/1 -1/1 19/11 -1/1 45/26 -1/1 0/1 26/15 -1/1 0/1 7/4 -1/2 0/1 30/17 1/3 1/2 53/30 0/1 1/2 76/43 0/1 1/1 23/13 0/1 1/2 1/1 62/35 0/1 1/3 39/22 1/2 1/1 55/31 0/1 1/1 16/9 1/1 41/23 0/1 25/14 0/1 1/1 59/33 0/1 1/2 1/1 34/19 2/3 1/1 77/43 1/1 120/67 1/1 10/9 43/24 1/1 4/3 9/5 1/1 1/0 20/11 1/1 2/1 51/28 1/1 2/1 31/17 2/1 42/23 1/0 11/6 2/1 3/1 13/7 1/0 15/8 -4/1 -3/1 32/17 -7/3 -2/1 17/9 -2/1 1/0 2/1 0/1 1/0 15/7 -2/1 -1/1 28/13 -2/1 -1/1 41/19 -1/1 13/6 -1/1 1/0 24/11 -1/1 11/5 -2/1 0/1 20/9 0/1 1/0 49/22 -2/1 -1/1 29/13 -1/1 1/0 38/17 1/0 47/21 -2/1 -1/1 1/0 9/4 -1/1 0/1 7/3 1/0 19/8 -3/1 -2/1 50/21 -2/1 -9/5 81/34 -1/1 112/47 -2/1 -1/1 31/13 -2/1 -1/1 1/0 74/31 -1/1 43/18 -1/1 1/0 141/59 1/0 98/41 -3/1 1/0 55/23 -2/1 1/0 12/5 -3/1 -2/1 41/17 -2/1 -1/1 70/29 -3/2 -1/1 99/41 -1/1 29/12 -2/1 -1/1 46/19 -1/1 109/45 -2/1 -1/1 63/26 -2/1 -1/1 17/7 -1/1 56/23 -1/1 0/1 39/16 -1/1 22/9 -1/1 0/1 27/11 -1/1 1/0 32/13 1/0 5/2 -1/1 1/0 33/13 -1/2 0/1 61/24 -1/1 28/11 -1/1 0/1 51/20 -1/1 0/1 23/9 0/1 41/16 -1/1 0/1 100/39 1/1 1/0 59/23 0/1 1/0 18/7 1/0 67/26 -2/1 -1/1 49/19 -1/1 0/1 1/0 31/12 0/1 1/0 75/29 1/0 44/17 -1/1 1/0 101/39 -1/1 57/22 -1/1 0/1 13/5 0/1 1/0 21/8 2/1 1/0 29/11 1/0 37/14 -6/1 1/0 8/3 -2/1 1/0 43/16 -1/1 1/0 35/13 -2/1 0/1 62/23 1/0 89/33 -1/1 1/0 116/43 -1/1 0/1 27/10 0/1 1/0 46/17 -4/1 -3/1 65/24 -7/3 -2/1 19/7 -2/1 1/0 68/25 -7/3 -2/1 117/43 -2/1 166/61 -2/1 -17/9 49/18 -2/1 -5/3 30/11 -2/1 -1/1 41/15 -1/1 52/19 -2/1 -1/1 63/23 -2/1 -1/1 11/4 -1/1 36/13 -1/1 0/1 61/22 4/1 1/0 147/53 1/0 86/31 -8/1 1/0 25/9 -2/1 1/0 14/5 -1/1 1/0 3/1 -1/1 0/1 1/0 16/5 -1/1 1/0 61/19 -2/1 0/1 106/33 -1/1 1/0 45/14 -1/1 1/0 29/9 -1/1 1/0 71/22 -2/1 -1/1 42/13 1/0 13/4 -2/1 -1/1 36/11 -1/1 1/0 23/7 1/0 56/17 -3/1 1/0 89/27 -2/1 -1/1 1/0 122/37 -2/1 -1/1 33/10 -2/1 1/0 43/13 1/0 10/3 -2/1 -1/1 47/14 -1/1 1/0 84/25 0/1 1/0 37/11 -2/1 0/1 64/19 -2/1 1/0 155/46 -2/1 -1/1 401/119 -1/1 246/73 -1/1 0/1 91/27 -1/1 1/0 27/8 1/0 17/5 -2/1 -1/1 24/7 -4/3 -1/1 31/9 -1/1 38/11 -1/1 -4/5 7/2 -1/1 0/1 39/11 -1/1 32/9 -1/1 0/1 57/16 -1/1 -1/2 25/7 0/1 43/12 1/0 61/17 0/1 1/0 140/39 1/1 1/0 219/61 1/0 79/22 -1/1 1/0 18/5 0/1 1/1 47/13 1/0 76/21 -6/1 -5/1 29/8 -2/1 1/0 11/3 -1/1 1/0 37/10 -1/1 1/0 63/17 -2/1 0/1 89/24 -1/1 1/0 26/7 -1/1 1/0 41/11 -1/1 0/1 1/0 97/26 2/1 1/0 56/15 -3/1 -2/1 71/19 -1/1 15/4 -1/1 1/0 49/13 0/1 1/0 34/9 0/1 1/0 53/14 -1/1 0/1 19/5 1/0 23/6 -2/1 1/0 27/7 -2/1 -3/2 31/8 -2/1 -1/1 4/1 -1/1 25/6 0/1 1/3 21/5 0/1 1/0 17/4 -1/1 1/0 47/11 -1/1 0/1 77/18 1/0 30/7 -2/1 1/0 13/3 -2/1 0/1 22/5 -2/1 -1/1 75/17 -1/1 0/1 1/0 53/12 1/0 84/19 -2/1 -1/1 31/7 -1/1 1/0 40/9 -1/1 0/1 9/2 -2/1 1/0 32/7 -2/1 -1/1 55/12 -2/1 -5/3 23/5 -2/1 -3/2 -1/1 60/13 -3/2 -1/1 97/21 -3/2 -1/1 231/50 -2/1 -1/1 134/29 -2/1 -3/2 37/8 -3/2 14/3 -6/5 -1/1 33/7 -1/1 52/11 -1/1 -18/19 19/4 -1/1 -6/7 5/1 -1/1 0/1 26/5 -1/1 0/1 21/4 -1/1 37/7 -1/1 0/1 1/0 16/3 -1/1 1/0 59/11 -1/1 43/8 0/1 1/0 27/5 -2/1 0/1 65/12 -2/1 1/0 168/31 -2/1 -1/1 439/81 -1/1 271/50 -1/1 0/1 103/19 -1/1 1/0 38/7 1/0 11/2 -2/1 -1/1 17/3 -1/1 23/4 -1/1 -4/5 6/1 -1/1 -1/2 25/4 -1/6 0/1 69/11 0/1 113/18 0/1 1/22 44/7 0/1 1/8 19/3 0/1 1/1 32/5 2/1 1/0 45/7 -1/1 0/1 1/0 13/2 1/0 46/7 -1/1 0/1 33/5 -1/1 1/0 20/3 -1/1 0/1 47/7 -2/1 1/0 27/4 -2/1 -5/3 7/1 -1/1 22/3 -1/2 37/5 -1/1 -1/2 15/2 -1/1 -2/3 23/3 -1/2 0/1 8/1 0/1 1/1 25/3 -2/1 -1/1 1/0 17/2 -1/1 1/0 9/1 -1/1 19/2 -1/1 -1/2 10/1 -1/2 0/1 1/0 -1/1 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(381,182,538,257) (-1/2,-8/17) -> (46/65,17/24) Hyperbolic Matrix(77,36,524,245) (-8/17,-7/15) -> (1/7,4/27) Hyperbolic Matrix(73,34,526,245) (-7/15,-13/28) -> (3/22,1/7) Hyperbolic Matrix(4473,2074,1046,485) (-13/28,-19/41) -> (47/11,77/18) Hyperbolic Matrix(1711,792,-4392,-2033) (-19/41,-6/13) -> (-30/77,-37/95) Hyperbolic Matrix(2521,1160,1480,681) (-6/13,-17/37) -> (63/37,46/27) Hyperbolic Matrix(2141,982,1258,577) (-17/37,-11/24) -> (17/10,63/37) Hyperbolic Matrix(961,440,1400,641) (-11/24,-16/35) -> (24/35,11/16) Hyperbolic Matrix(1327,606,2354,1075) (-16/35,-5/11) -> (31/55,22/39) Hyperbolic Matrix(75,34,-514,-233) (-5/11,-14/31) -> (-4/27,-1/7) Hyperbolic Matrix(1241,560,800,361) (-14/31,-9/20) -> (31/20,14/9) Hyperbolic Matrix(361,162,-1522,-683) (-9/20,-13/29) -> (-5/21,-9/38) Hyperbolic Matrix(795,356,364,163) (-13/29,-4/9) -> (24/11,11/5) Hyperbolic Matrix(2441,1080,1720,761) (-4/9,-19/43) -> (61/43,44/31) Hyperbolic Matrix(1861,822,1578,697) (-19/43,-15/34) -> (33/28,13/11) Hyperbolic Matrix(2863,1262,1858,819) (-15/34,-26/59) -> (20/13,37/24) Hyperbolic Matrix(427,188,-2428,-1069) (-26/59,-11/25) -> (-3/17,-10/57) Hyperbolic Matrix(355,156,644,283) (-11/25,-7/16) -> (11/20,5/9) Hyperbolic Matrix(353,154,-1914,-835) (-7/16,-17/39) -> (-5/27,-7/38) Hyperbolic Matrix(923,402,-2482,-1081) (-17/39,-10/23) -> (-16/43,-13/35) Hyperbolic Matrix(1199,520,920,399) (-10/23,-13/30) -> (13/10,30/23) Hyperbolic Matrix(209,90,-490,-211) (-13/30,-3/7) -> (-3/7,-17/40) Parabolic Matrix(2575,1094,346,147) (-17/40,-31/73) -> (37/5,15/2) Hyperbolic Matrix(1319,560,-6880,-2921) (-31/73,-14/33) -> (-14/73,-9/47) Hyperbolic Matrix(1665,706,974,413) (-14/33,-11/26) -> (41/24,12/7) Hyperbolic Matrix(4225,1786,1734,733) (-11/26,-30/71) -> (56/23,39/16) Hyperbolic Matrix(10183,4302,6578,2779) (-30/71,-49/116) -> (65/42,48/31) Hyperbolic Matrix(1937,818,-9138,-3859) (-49/116,-19/45) -> (-7/33,-25/118) Hyperbolic Matrix(1801,760,3320,1401) (-19/45,-27/64) -> (13/24,19/35) Hyperbolic Matrix(7123,3004,1316,555) (-27/64,-35/83) -> (27/5,65/12) Hyperbolic Matrix(7675,3236,2284,963) (-35/83,-8/19) -> (84/25,37/11) Hyperbolic Matrix(343,144,-1584,-665) (-8/19,-13/31) -> (-5/23,-8/37) Hyperbolic Matrix(2271,952,1448,607) (-13/31,-31/74) -> (47/30,11/7) Hyperbolic Matrix(3443,1442,-9362,-3921) (-31/74,-18/43) -> (-32/87,-25/68) Hyperbolic Matrix(3643,1524,1996,835) (-18/43,-23/55) -> (31/17,42/23) Hyperbolic Matrix(3435,1436,964,403) (-23/55,-5/12) -> (57/16,25/7) Hyperbolic Matrix(1917,796,2324,965) (-5/12,-22/53) -> (14/17,33/40) Hyperbolic Matrix(4305,1786,1574,653) (-22/53,-17/41) -> (41/15,52/19) Hyperbolic Matrix(1367,566,954,395) (-17/41,-12/29) -> (10/7,33/23) Hyperbolic Matrix(475,196,-1156,-477) (-12/29,-7/17) -> (-7/17,-16/39) Parabolic Matrix(679,278,1082,443) (-16/39,-9/22) -> (5/8,22/35) Hyperbolic Matrix(201,82,-1282,-523) (-9/22,-11/27) -> (-3/19,-5/32) Hyperbolic Matrix(875,356,204,83) (-11/27,-2/5) -> (30/7,13/3) Hyperbolic Matrix(199,78,722,283) (-2/5,-9/23) -> (3/11,8/29) Hyperbolic Matrix(1839,718,1442,563) (-9/23,-16/41) -> (14/11,37/29) Hyperbolic Matrix(5637,2198,2362,921) (-16/41,-23/59) -> (31/13,74/31) Hyperbolic Matrix(10157,3958,3082,1201) (-23/59,-30/77) -> (56/17,89/27) Hyperbolic Matrix(719,280,-5960,-2321) (-37/95,-7/18) -> (-7/58,-3/25) Hyperbolic Matrix(197,76,324,125) (-7/18,-5/13) -> (3/5,11/18) Hyperbolic Matrix(193,74,326,125) (-5/13,-8/21) -> (10/17,3/5) Hyperbolic Matrix(515,196,1164,443) (-8/21,-19/50) -> (15/34,4/9) Hyperbolic Matrix(901,342,-3222,-1223) (-19/50,-11/29) -> (-7/25,-19/68) Hyperbolic Matrix(1289,488,1672,633) (-11/29,-14/37) -> (10/13,27/35) Hyperbolic Matrix(1481,560,320,121) (-14/37,-3/8) -> (37/8,14/3) Hyperbolic Matrix(317,118,1722,641) (-3/8,-16/43) -> (2/11,7/38) Hyperbolic Matrix(1527,566,634,235) (-13/35,-10/27) -> (12/5,41/17) Hyperbolic Matrix(2411,892,-8252,-3053) (-10/27,-27/73) -> (-19/65,-26/89) Hyperbolic Matrix(2921,1080,760,281) (-27/73,-17/46) -> (23/6,27/7) Hyperbolic Matrix(65,24,696,257) (-17/46,-24/65) -> (0/1,1/10) Hyperbolic Matrix(2411,890,4310,1591) (-24/65,-7/19) -> (33/59,14/25) Hyperbolic Matrix(4811,1770,2150,791) (-7/19,-32/87) -> (38/17,47/21) Hyperbolic Matrix(7841,2882,-26562,-9763) (-25/68,-43/117) -> (-31/105,-49/166) Hyperbolic Matrix(9171,3370,3350,1231) (-43/117,-18/49) -> (52/19,63/23) Hyperbolic Matrix(1957,718,1202,441) (-18/49,-11/30) -> (13/8,44/27) Hyperbolic Matrix(1327,486,314,115) (-11/30,-15/41) -> (21/5,17/4) Hyperbolic Matrix(695,254,-2334,-853) (-15/41,-4/11) -> (-14/47,-11/37) Hyperbolic Matrix(1439,520,440,159) (-4/11,-13/36) -> (13/4,36/11) Hyperbolic Matrix(877,316,1124,405) (-13/36,-9/25) -> (7/9,25/32) Hyperbolic Matrix(1999,718,1122,403) (-9/25,-14/39) -> (16/9,41/23) Hyperbolic Matrix(2621,940,1620,581) (-14/39,-5/14) -> (55/34,34/21) Hyperbolic Matrix(681,242,-1922,-683) (-5/14,-11/31) -> (-11/31,-17/48) Parabolic Matrix(1793,634,806,285) (-17/48,-6/17) -> (20/9,49/22) Hyperbolic Matrix(1175,414,1666,587) (-6/17,-13/37) -> (43/61,12/17) Hyperbolic Matrix(2341,822,618,217) (-13/37,-7/20) -> (53/14,19/5) Hyperbolic Matrix(3135,1094,2026,707) (-7/20,-15/43) -> (17/11,65/42) Hyperbolic Matrix(2335,814,2946,1027) (-15/43,-8/23) -> (42/53,23/29) Hyperbolic Matrix(1411,490,550,191) (-8/23,-1/3) -> (59/23,18/7) Hyperbolic Matrix(1471,470,410,131) (-1/3,-7/22) -> (43/12,61/17) Hyperbolic Matrix(1523,484,236,75) (-7/22,-13/41) -> (45/7,13/2) Hyperbolic Matrix(6029,1910,3690,1169) (-13/41,-6/19) -> (116/71,67/41) Hyperbolic Matrix(1167,368,352,111) (-6/19,-11/35) -> (43/13,10/3) Hyperbolic Matrix(1571,492,1108,347) (-11/35,-5/16) -> (17/12,61/43) Hyperbolic Matrix(521,162,-1682,-523) (-5/16,-9/29) -> (-9/29,-13/42) Parabolic Matrix(1797,556,404,125) (-13/42,-4/13) -> (40/9,9/2) Hyperbolic Matrix(1439,440,520,159) (-4/13,-11/36) -> (11/4,36/13) Hyperbolic Matrix(1037,316,804,245) (-11/36,-7/23) -> (9/7,31/24) Hyperbolic Matrix(1609,488,1032,313) (-7/23,-10/33) -> (14/9,39/25) Hyperbolic Matrix(403,122,1318,399) (-10/33,-3/10) -> (11/36,4/13) Hyperbolic Matrix(1313,392,968,289) (-3/10,-14/47) -> (42/31,19/14) Hyperbolic Matrix(283,84,1196,355) (-11/37,-8/27) -> (4/17,5/21) Hyperbolic Matrix(1081,320,1760,521) (-8/27,-13/44) -> (27/44,8/13) Hyperbolic Matrix(11411,3370,4710,1391) (-13/44,-31/105) -> (109/45,63/26) Hyperbolic Matrix(21113,6232,15208,4489) (-49/166,-18/61) -> (118/85,25/18) Hyperbolic Matrix(1363,402,-6242,-1841) (-18/61,-5/17) -> (-19/87,-12/55) Hyperbolic Matrix(3847,1128,2152,631) (-5/17,-17/58) -> (25/14,59/33) Hyperbolic Matrix(621,182,58,17) (-17/58,-12/41) -> (10/1,1/0) Hyperbolic Matrix(1415,414,1186,347) (-12/41,-19/65) -> (25/21,6/5) Hyperbolic Matrix(5313,1552,3728,1089) (-26/89,-7/24) -> (57/40,10/7) Hyperbolic Matrix(563,164,1356,395) (-7/24,-9/31) -> (17/41,5/12) Hyperbolic Matrix(283,82,-1522,-441) (-9/31,-2/7) -> (-8/43,-5/27) Hyperbolic Matrix(277,78,1282,361) (-2/7,-9/32) -> (3/14,8/37) Hyperbolic Matrix(1445,406,1114,313) (-9/32,-7/25) -> (35/27,13/10) Hyperbolic Matrix(5441,1520,3440,961) (-19/68,-12/43) -> (68/43,19/12) Hyperbolic Matrix(1717,478,722,201) (-12/43,-5/18) -> (19/8,50/21) Hyperbolic Matrix(277,76,164,45) (-5/18,-3/11) -> (5/3,17/10) Hyperbolic Matrix(273,74,166,45) (-3/11,-4/15) -> (18/11,5/3) Hyperbolic Matrix(271,72,-2232,-593) (-4/15,-17/64) -> (-1/8,-4/33) Hyperbolic Matrix(2395,636,7844,2083) (-17/64,-13/49) -> (29/95,11/36) Hyperbolic Matrix(2287,606,434,115) (-13/49,-9/34) -> (21/4,37/7) Hyperbolic Matrix(1195,316,1524,403) (-9/34,-5/19) -> (29/37,11/14) Hyperbolic Matrix(595,156,164,43) (-5/19,-1/4) -> (29/8,11/3) Hyperbolic Matrix(159,38,682,163) (-1/4,-5/21) -> (3/13,7/30) Hyperbolic Matrix(997,236,1204,285) (-9/38,-4/17) -> (24/29,5/6) Hyperbolic Matrix(155,36,-676,-157) (-4/17,-3/13) -> (-3/13,-8/35) Parabolic Matrix(1401,320,880,201) (-8/35,-5/22) -> (35/22,8/5) Hyperbolic Matrix(723,164,1036,235) (-5/22,-7/31) -> (23/33,7/10) Hyperbolic Matrix(2633,594,1086,245) (-7/31,-9/40) -> (63/26,17/7) Hyperbolic Matrix(1085,244,876,197) (-9/40,-2/9) -> (26/21,5/4) Hyperbolic Matrix(1179,260,1900,419) (-2/9,-9/41) -> (49/79,18/29) Hyperbolic Matrix(767,168,872,191) (-9/41,-7/32) -> (7/8,15/17) Hyperbolic Matrix(7011,1532,1588,347) (-7/32,-19/87) -> (75/17,53/12) Hyperbolic Matrix(3477,758,922,201) (-12/55,-5/23) -> (49/13,34/9) Hyperbolic Matrix(1481,320,560,121) (-8/37,-3/14) -> (37/14,8/3) Hyperbolic Matrix(2087,446,1474,315) (-3/14,-13/61) -> (75/53,17/12) Hyperbolic Matrix(967,206,5234,1115) (-13/61,-10/47) -> (12/65,5/27) Hyperbolic Matrix(865,184,456,97) (-10/47,-7/33) -> (17/9,2/1) Hyperbolic Matrix(23753,5032,8728,1849) (-25/118,-18/85) -> (166/61,49/18) Hyperbolic Matrix(10197,2158,6242,1321) (-18/85,-11/52) -> (49/30,116/71) Hyperbolic Matrix(3349,708,2332,493) (-11/52,-4/19) -> (56/39,23/16) Hyperbolic Matrix(963,202,758,159) (-4/19,-5/24) -> (33/26,14/11) Hyperbolic Matrix(49,10,-250,-51) (-5/24,-1/5) -> (-1/5,-5/26) Parabolic Matrix(6041,1160,1880,361) (-5/26,-14/73) -> (106/33,45/14) Hyperbolic Matrix(4599,880,1040,199) (-9/47,-4/21) -> (84/19,31/7) Hyperbolic Matrix(643,122,838,159) (-4/21,-3/16) -> (23/30,10/13) Hyperbolic Matrix(1081,202,198,37) (-3/16,-8/43) -> (38/7,11/2) Hyperbolic Matrix(1521,280,440,81) (-7/38,-2/11) -> (38/11,7/2) Hyperbolic Matrix(439,78,242,43) (-2/11,-3/17) -> (9/5,20/11) Hyperbolic Matrix(6113,1072,1648,289) (-10/57,-7/40) -> (89/24,26/7) Hyperbolic Matrix(1259,220,1940,339) (-7/40,-4/23) -> (24/37,13/20) Hyperbolic Matrix(3001,520,1160,201) (-4/23,-5/29) -> (75/29,44/17) Hyperbolic Matrix(1157,198,1642,281) (-5/29,-1/6) -> (31/44,43/61) Hyperbolic Matrix(523,84,716,115) (-1/6,-3/19) -> (27/37,19/26) Hyperbolic Matrix(993,154,806,125) (-5/32,-2/13) -> (16/13,37/30) Hyperbolic Matrix(517,78,802,121) (-2/13,-3/20) -> (9/14,20/31) Hyperbolic Matrix(1553,232,328,49) (-3/20,-4/27) -> (52/11,19/4) Hyperbolic Matrix(1483,204,836,115) (-1/7,-3/22) -> (39/22,55/31) Hyperbolic Matrix(925,124,276,37) (-3/22,-2/15) -> (10/3,47/14) Hyperbolic Matrix(785,104,1336,177) (-2/15,-3/23) -> (37/63,10/17) Hyperbolic Matrix(917,118,1562,201) (-3/23,-1/8) -> (27/46,37/63) Hyperbolic Matrix(6281,760,1000,121) (-4/33,-7/58) -> (113/18,44/7) Hyperbolic Matrix(1771,212,1228,147) (-3/25,-2/17) -> (62/43,13/9) Hyperbolic Matrix(317,36,44,5) (-2/17,-1/9) -> (7/1,22/3) Hyperbolic Matrix(313,34,46,5) (-1/9,-1/10) -> (27/4,7/1) Hyperbolic Matrix(305,24,216,17) (-1/10,0/1) -> (24/17,65/46) Hyperbolic Matrix(977,-102,182,-19) (1/10,1/9) -> (59/11,43/8) Hyperbolic Matrix(1147,-134,214,-25) (1/9,2/17) -> (16/3,59/11) Hyperbolic Matrix(357,-44,284,-35) (2/17,1/8) -> (5/4,34/27) Hyperbolic Matrix(1343,-176,496,-65) (1/8,2/15) -> (46/17,65/24) Hyperbolic Matrix(2643,-358,598,-81) (2/15,3/22) -> (53/12,84/19) Hyperbolic Matrix(1045,-156,556,-83) (4/27,3/20) -> (15/8,32/17) Hyperbolic Matrix(1009,-152,312,-47) (3/20,2/13) -> (42/13,13/4) Hyperbolic Matrix(243,-38,518,-81) (2/13,3/19) -> (7/15,8/17) Hyperbolic Matrix(449,-72,792,-127) (3/19,1/6) -> (17/30,21/37) Hyperbolic Matrix(715,-124,444,-77) (1/6,3/17) -> (37/23,29/18) Hyperbolic Matrix(543,-98,338,-61) (3/17,2/11) -> (8/5,37/23) Hyperbolic Matrix(7497,-1382,1622,-299) (7/38,12/65) -> (134/29,37/8) Hyperbolic Matrix(1721,-320,640,-119) (5/27,3/16) -> (43/16,35/13) Hyperbolic Matrix(2087,-394,874,-165) (3/16,4/21) -> (74/31,43/18) Hyperbolic Matrix(871,-168,1208,-233) (4/21,1/5) -> (31/43,44/61) Hyperbolic Matrix(165,-34,34,-7) (1/5,3/14) -> (19/4,5/1) Hyperbolic Matrix(821,-178,3058,-663) (8/37,5/23) -> (11/41,18/67) Hyperbolic Matrix(263,-58,458,-101) (5/23,2/9) -> (4/7,19/33) Hyperbolic Matrix(359,-82,162,-37) (2/9,3/13) -> (11/5,20/9) Hyperbolic Matrix(1913,-448,1328,-311) (7/30,4/17) -> (36/25,49/34) Hyperbolic Matrix(773,-186,1226,-295) (5/21,1/4) -> (29/46,41/65) Hyperbolic Matrix(413,-108,348,-91) (1/4,5/19) -> (13/11,19/16) Hyperbolic Matrix(2089,-552,632,-167) (5/19,9/34) -> (33/10,43/13) Hyperbolic Matrix(1929,-512,1232,-327) (9/34,4/15) -> (36/23,47/30) Hyperbolic Matrix(4733,-1266,3346,-895) (4/15,15/56) -> (99/70,58/41) Hyperbolic Matrix(9591,-2570,5930,-1589) (15/56,11/41) -> (131/81,55/34) Hyperbolic Matrix(3563,-958,4318,-1161) (18/67,7/26) -> (33/40,52/63) Hyperbolic Matrix(693,-188,188,-51) (7/26,3/11) -> (11/3,37/10) Hyperbolic Matrix(1253,-346,3386,-935) (8/29,13/47) -> (27/73,10/27) Hyperbolic Matrix(1285,-356,3476,-963) (13/47,5/18) -> (17/46,27/73) Hyperbolic Matrix(1439,-402,562,-157) (5/18,7/25) -> (23/9,41/16) Hyperbolic Matrix(2343,-658,3778,-1061) (7/25,9/32) -> (31/50,49/79) Hyperbolic Matrix(2903,-818,1778,-501) (9/32,2/7) -> (80/49,49/30) Hyperbolic Matrix(527,-154,154,-45) (2/7,5/17) -> (17/5,24/7) Hyperbolic Matrix(277,-82,402,-119) (5/17,3/10) -> (11/16,9/13) Hyperbolic Matrix(2089,-632,552,-167) (3/10,10/33) -> (34/9,53/14) Hyperbolic Matrix(645,-196,2116,-643) (10/33,7/23) -> (7/23,18/59) Parabolic Matrix(24455,-7464,17224,-5257) (18/59,29/95) -> (115/81,186/131) Hyperbolic Matrix(31,-10,90,-29) (4/13,1/3) -> (1/3,6/17) Parabolic Matrix(1181,-418,178,-63) (6/17,11/31) -> (33/5,20/3) Hyperbolic Matrix(1801,-640,560,-199) (11/31,5/14) -> (45/14,29/9) Hyperbolic Matrix(619,-222,382,-137) (5/14,4/11) -> (34/21,13/8) Hyperbolic Matrix(1699,-622,702,-257) (4/11,11/30) -> (29/12,46/19) Hyperbolic Matrix(1111,-408,1288,-473) (11/30,18/49) -> (6/7,19/22) Hyperbolic Matrix(2223,-818,818,-301) (18/49,7/19) -> (19/7,68/25) Hyperbolic Matrix(1343,-496,176,-65) (7/19,17/46) -> (15/2,23/3) Hyperbolic Matrix(3239,-1202,962,-357) (10/27,13/35) -> (37/11,64/19) Hyperbolic Matrix(1721,-640,320,-119) (13/35,3/8) -> (43/8,27/5) Hyperbolic Matrix(377,-144,144,-55) (3/8,5/13) -> (13/5,21/8) Hyperbolic Matrix(2281,-880,1760,-679) (5/13,17/44) -> (57/44,35/27) Hyperbolic Matrix(1903,-736,1616,-625) (17/44,12/31) -> (20/17,33/28) Hyperbolic Matrix(1037,-402,1442,-559) (12/31,7/18) -> (23/32,18/25) Hyperbolic Matrix(1439,-562,402,-157) (7/18,9/23) -> (25/7,43/12) Hyperbolic Matrix(2041,-800,1120,-439) (9/23,11/28) -> (51/28,31/17) Hyperbolic Matrix(1663,-656,976,-385) (11/28,2/5) -> (46/27,75/44) Hyperbolic Matrix(655,-266,426,-173) (2/5,11/27) -> (23/15,20/13) Hyperbolic Matrix(1961,-800,880,-359) (11/27,9/22) -> (49/22,29/13) Hyperbolic Matrix(1475,-604,2044,-837) (9/22,16/39) -> (44/61,13/18) Hyperbolic Matrix(2239,-920,1560,-641) (16/39,7/17) -> (33/23,56/39) Hyperbolic Matrix(1699,-702,622,-257) (7/17,12/29) -> (30/11,41/15) Hyperbolic Matrix(1583,-656,736,-305) (12/29,17/41) -> (15/7,28/13) Hyperbolic Matrix(85,-36,196,-83) (5/12,3/7) -> (3/7,7/16) Parabolic Matrix(529,-232,472,-207) (7/16,18/41) -> (10/9,9/8) Hyperbolic Matrix(1917,-842,362,-159) (18/41,11/25) -> (37/7,16/3) Hyperbolic Matrix(3303,-1456,2416,-1065) (11/25,15/34) -> (41/30,67/49) Hyperbolic Matrix(359,-162,82,-37) (4/9,5/11) -> (13/3,22/5) Hyperbolic Matrix(439,-202,602,-277) (5/11,6/13) -> (8/11,27/37) Hyperbolic Matrix(1583,-736,656,-305) (6/13,7/15) -> (41/17,70/29) Hyperbolic Matrix(407,-194,514,-245) (8/17,1/2) -> (19/24,42/53) Hyperbolic Matrix(183,-98,338,-181) (1/2,7/13) -> (7/13,13/24) Parabolic Matrix(1217,-662,182,-99) (19/35,6/11) -> (20/3,47/7) Hyperbolic Matrix(413,-226,466,-255) (6/11,17/31) -> (15/17,8/9) Hyperbolic Matrix(2041,-1120,800,-439) (17/31,11/20) -> (51/20,23/9) Hyperbolic Matrix(693,-386,386,-215) (5/9,19/34) -> (43/24,9/5) Hyperbolic Matrix(2129,-1190,950,-531) (19/34,33/59) -> (47/21,9/4) Hyperbolic Matrix(1127,-632,872,-489) (14/25,9/16) -> (31/24,22/17) Hyperbolic Matrix(1613,-908,588,-331) (9/16,31/55) -> (63/23,11/4) Hyperbolic Matrix(2479,-1400,1560,-881) (22/39,13/23) -> (27/17,62/39) Hyperbolic Matrix(639,-362,842,-477) (13/23,17/30) -> (3/4,19/25) Hyperbolic Matrix(1761,-1000,280,-159) (21/37,4/7) -> (44/7,19/3) Hyperbolic Matrix(965,-556,1116,-643) (19/33,15/26) -> (19/22,13/15) Hyperbolic Matrix(1647,-952,1192,-689) (15/26,11/19) -> (29/21,47/34) Hyperbolic Matrix(557,-324,404,-235) (11/19,7/12) -> (11/8,29/21) Hyperbolic Matrix(1185,-694,934,-547) (7/12,17/29) -> (19/15,33/26) Hyperbolic Matrix(1663,-976,656,-385) (17/29,27/46) -> (5/2,33/13) Hyperbolic Matrix(2383,-1458,1538,-941) (11/18,30/49) -> (48/31,31/20) Hyperbolic Matrix(2903,-1778,818,-501) (30/49,19/31) -> (39/11,32/9) Hyperbolic Matrix(1933,-1186,546,-335) (19/31,27/44) -> (7/2,39/11) Hyperbolic Matrix(619,-382,222,-137) (8/13,13/21) -> (25/9,14/5) Hyperbolic Matrix(2841,-1760,2000,-1239) (13/21,31/50) -> (71/50,27/19) Hyperbolic Matrix(715,-444,124,-77) (18/29,5/8) -> (23/4,6/1) Hyperbolic Matrix(2479,-1560,1400,-881) (22/35,17/27) -> (23/13,62/35) Hyperbolic Matrix(3731,-2350,2110,-1329) (17/27,46/73) -> (76/43,23/13) Hyperbolic Matrix(5741,-3618,2258,-1423) (46/73,29/46) -> (61/24,28/11) Hyperbolic Matrix(2403,-1516,1276,-805) (41/65,12/19) -> (32/17,17/9) Hyperbolic Matrix(539,-342,342,-217) (12/19,7/11) -> (11/7,30/19) Hyperbolic Matrix(1929,-1232,512,-327) (7/11,23/36) -> (15/4,49/13) Hyperbolic Matrix(2269,-1450,1050,-671) (23/36,39/61) -> (41/19,13/6) Hyperbolic Matrix(2733,-1748,1268,-811) (39/61,16/25) -> (28/13,41/19) Hyperbolic Matrix(877,-562,1122,-719) (16/25,9/14) -> (25/32,18/23) Hyperbolic Matrix(2383,-1538,1458,-941) (20/31,11/17) -> (67/41,18/11) Hyperbolic Matrix(1651,-1070,1310,-849) (11/17,24/37) -> (34/27,29/23) Hyperbolic Matrix(655,-426,266,-173) (13/20,2/3) -> (32/13,5/2) Hyperbolic Matrix(1283,-876,476,-325) (2/3,13/19) -> (35/13,62/23) Hyperbolic Matrix(3727,-2554,2634,-1805) (13/19,24/35) -> (58/41,75/53) Hyperbolic Matrix(1913,-1328,448,-311) (9/13,25/36) -> (17/4,47/11) Hyperbolic Matrix(6207,-4312,4792,-3329) (25/36,41/59) -> (79/61,57/44) Hyperbolic Matrix(3115,-2166,2406,-1673) (41/59,16/23) -> (22/17,79/61) Hyperbolic Matrix(2239,-1560,920,-641) (16/23,23/33) -> (17/7,56/23) Hyperbolic Matrix(1269,-892,892,-627) (7/10,19/27) -> (27/19,37/26) Hyperbolic Matrix(2841,-2000,1760,-1239) (19/27,31/44) -> (71/44,21/13) Hyperbolic Matrix(5671,-4008,1688,-1193) (12/17,41/58) -> (47/14,84/25) Hyperbolic Matrix(4733,-3346,1266,-895) (41/58,29/41) -> (71/19,15/4) Hyperbolic Matrix(6911,-4890,1850,-1309) (29/41,46/65) -> (56/15,71/19) Hyperbolic Matrix(2153,-1526,1686,-1195) (17/24,22/31) -> (60/47,23/18) Hyperbolic Matrix(351,-250,490,-349) (22/31,5/7) -> (5/7,28/39) Parabolic Matrix(1979,-1422,302,-217) (28/39,23/32) -> (13/2,46/7) Hyperbolic Matrix(3999,-2882,2882,-2077) (18/25,31/43) -> (43/31,68/49) Hyperbolic Matrix(557,-404,324,-235) (13/18,8/11) -> (12/7,31/18) Hyperbolic Matrix(4621,-3380,1940,-1419) (19/26,30/41) -> (50/21,81/34) Hyperbolic Matrix(1063,-778,138,-101) (30/41,11/15) -> (23/3,8/1) Hyperbolic Matrix(345,-254,254,-187) (11/15,3/4) -> (19/14,15/11) Hyperbolic Matrix(3067,-2332,1932,-1469) (19/25,16/21) -> (100/63,27/17) Hyperbolic Matrix(907,-692,772,-589) (16/21,13/17) -> (27/23,20/17) Hyperbolic Matrix(929,-712,792,-607) (13/17,23/30) -> (7/6,27/23) Hyperbolic Matrix(2281,-1760,880,-679) (27/35,17/22) -> (57/22,13/5) Hyperbolic Matrix(1127,-872,632,-489) (17/22,7/9) -> (41/23,25/14) Hyperbolic Matrix(2153,-1686,1526,-1195) (18/23,29/37) -> (55/39,24/17) Hyperbolic Matrix(1185,-934,694,-547) (11/14,15/19) -> (29/17,41/24) Hyperbolic Matrix(1273,-1006,1006,-795) (15/19,19/24) -> (43/34,19/15) Hyperbolic Matrix(357,-284,44,-35) (23/29,4/5) -> (8/1,25/3) Hyperbolic Matrix(199,-162,242,-197) (4/5,9/11) -> (9/11,14/17) Parabolic Matrix(7363,-6078,1358,-1121) (52/63,19/23) -> (103/19,38/7) Hyperbolic Matrix(2015,-1666,306,-253) (19/23,24/29) -> (46/7,33/5) Hyperbolic Matrix(413,-348,108,-91) (5/6,11/13) -> (19/5,23/6) Hyperbolic Matrix(1903,-1616,736,-625) (11/13,17/20) -> (31/12,75/29) Hyperbolic Matrix(907,-772,692,-589) (17/20,6/7) -> (38/29,21/16) Hyperbolic Matrix(4153,-3608,2568,-2231) (13/15,20/23) -> (76/47,131/81) Hyperbolic Matrix(2011,-1750,470,-409) (20/23,7/8) -> (77/18,30/7) Hyperbolic Matrix(507,-452,212,-189) (8/9,1/1) -> (55/23,12/5) Hyperbolic Matrix(593,-648,248,-271) (1/1,10/9) -> (98/41,55/23) Hyperbolic Matrix(413,-466,226,-255) (9/8,8/7) -> (42/23,11/6) Hyperbolic Matrix(1583,-1818,1098,-1261) (8/7,23/20) -> (49/34,62/43) Hyperbolic Matrix(2081,-2398,558,-643) (23/20,15/13) -> (41/11,97/26) Hyperbolic Matrix(853,-986,186,-215) (15/13,7/6) -> (55/12,23/5) Hyperbolic Matrix(1809,-2152,712,-847) (19/16,25/21) -> (33/13,61/24) Hyperbolic Matrix(199,-242,162,-197) (6/5,11/9) -> (11/9,16/13) Parabolic Matrix(2077,-2564,644,-795) (37/30,21/17) -> (29/9,71/22) Hyperbolic Matrix(3057,-3782,662,-819) (21/17,26/21) -> (60/13,97/21) Hyperbolic Matrix(1591,-2008,248,-313) (29/23,24/19) -> (32/5,45/7) Hyperbolic Matrix(7351,-9290,2650,-3349) (24/19,67/53) -> (147/53,86/31) Hyperbolic Matrix(8231,-10408,2968,-3753) (67/53,43/34) -> (61/22,147/53) Hyperbolic Matrix(5079,-6482,3602,-4597) (37/29,60/47) -> (86/61,55/39) Hyperbolic Matrix(877,-1122,562,-719) (23/18,9/7) -> (39/25,25/16) Hyperbolic Matrix(885,-1156,676,-883) (30/23,17/13) -> (17/13,38/29) Parabolic Matrix(639,-842,362,-477) (21/16,4/3) -> (30/17,53/30) Hyperbolic Matrix(783,-1058,578,-781) (4/3,23/17) -> (23/17,42/31) Parabolic Matrix(1285,-1754,474,-647) (15/11,41/30) -> (65/24,19/7) Hyperbolic Matrix(4341,-5938,3058,-4183) (67/49,26/19) -> (44/31,115/81) Hyperbolic Matrix(439,-602,202,-277) (26/19,11/8) -> (13/6,24/11) Hyperbolic Matrix(1343,-1858,738,-1021) (47/34,18/13) -> (20/11,51/28) Hyperbolic Matrix(871,-1208,168,-233) (18/13,43/31) -> (5/1,26/5) Hyperbolic Matrix(12463,-17298,8978,-12461) (68/49,93/67) -> (93/67,118/85) Parabolic Matrix(1037,-1442,402,-559) (25/18,7/5) -> (49/19,31/12) Hyperbolic Matrix(1413,-1988,548,-771) (7/5,31/22) -> (67/26,49/19) Hyperbolic Matrix(5263,-7418,2938,-4141) (31/22,86/61) -> (120/67,43/24) Hyperbolic Matrix(4757,-6724,3364,-4755) (65/46,41/29) -> (41/29,99/70) Parabolic Matrix(36961,-52480,8000,-11359) (186/131,71/50) -> (231/50,134/29) Hyperbolic Matrix(3103,-4418,2178,-3101) (37/26,47/33) -> (47/33,57/40) Parabolic Matrix(3953,-5686,1526,-2195) (23/16,59/41) -> (101/39,57/22) Hyperbolic Matrix(4329,-6232,1672,-2407) (59/41,36/25) -> (44/17,101/39) Hyperbolic Matrix(277,-402,82,-119) (13/9,3/2) -> (27/8,17/5) Hyperbolic Matrix(587,-894,174,-265) (3/2,23/15) -> (91/27,27/8) Hyperbolic Matrix(787,-1214,94,-145) (37/24,17/11) -> (25/3,17/2) Hyperbolic Matrix(2715,-4244,1124,-1757) (25/16,61/39) -> (99/41,29/12) Hyperbolic Matrix(5007,-7834,2074,-3245) (61/39,36/23) -> (70/29,99/41) Hyperbolic Matrix(3039,-4802,1922,-3037) (30/19,49/31) -> (49/31,68/43) Parabolic Matrix(773,-1226,186,-295) (19/12,46/29) -> (4/1,25/6) Hyperbolic Matrix(1083,-1718,278,-441) (46/29,73/46) -> (31/8,4/1) Hyperbolic Matrix(12709,-20172,3772,-5987) (73/46,100/63) -> (64/19,155/46) Hyperbolic Matrix(3799,-6042,1482,-2357) (62/39,35/22) -> (41/16,100/39) Hyperbolic Matrix(2343,-3778,658,-1061) (29/18,50/31) -> (32/9,57/16) Hyperbolic Matrix(7439,-12002,3122,-5037) (50/31,71/44) -> (81/34,112/47) Hyperbolic Matrix(2293,-3706,826,-1335) (21/13,76/47) -> (86/31,25/9) Hyperbolic Matrix(2357,-3844,1444,-2355) (44/27,31/19) -> (31/19,80/49) Parabolic Matrix(1715,-2924,444,-757) (75/44,29/17) -> (27/7,31/8) Hyperbolic Matrix(837,-1444,484,-835) (31/18,19/11) -> (19/11,45/26) Parabolic Matrix(1493,-2586,586,-1015) (45/26,26/15) -> (28/11,51/20) Hyperbolic Matrix(263,-458,58,-101) (26/15,7/4) -> (9/2,32/7) Hyperbolic Matrix(449,-792,72,-127) (7/4,30/17) -> (6/1,25/4) Hyperbolic Matrix(4641,-8200,1720,-3039) (53/30,76/43) -> (116/43,27/10) Hyperbolic Matrix(3161,-5600,880,-1559) (62/35,39/22) -> (79/22,18/5) Hyperbolic Matrix(2407,-4274,994,-1765) (55/31,16/9) -> (46/19,109/45) Hyperbolic Matrix(2151,-3848,488,-873) (59/33,34/19) -> (22/5,75/17) Hyperbolic Matrix(6623,-11858,3698,-6621) (34/19,77/43) -> (77/43,120/67) Parabolic Matrix(183,-338,98,-181) (11/6,13/7) -> (13/7,15/8) Parabolic Matrix(243,-518,38,-81) (2/1,15/7) -> (19/3,32/5) Hyperbolic Matrix(915,-2044,124,-277) (29/13,38/17) -> (22/3,37/5) Hyperbolic Matrix(85,-196,36,-83) (9/4,7/3) -> (7/3,19/8) Parabolic Matrix(5769,-13750,1750,-4171) (112/47,31/13) -> (89/27,122/37) Hyperbolic Matrix(8603,-20556,2396,-5725) (43/18,141/59) -> (219/61,79/22) Hyperbolic Matrix(17239,-41202,4802,-11477) (141/59,98/41) -> (140/39,219/61) Hyperbolic Matrix(605,-1476,116,-283) (39/16,22/9) -> (26/5,21/4) Hyperbolic Matrix(719,-1762,162,-397) (22/9,27/11) -> (31/7,40/9) Hyperbolic Matrix(1839,-4522,682,-1677) (27/11,32/13) -> (62/23,89/33) Hyperbolic Matrix(5599,-14360,1560,-4001) (100/39,59/23) -> (61/17,140/39) Hyperbolic Matrix(1589,-4092,492,-1267) (18/7,67/26) -> (71/22,42/13) Hyperbolic Matrix(639,-1682,242,-637) (21/8,29/11) -> (29/11,37/14) Parabolic Matrix(217,-582,22,-59) (8/3,43/16) -> (19/2,10/1) Hyperbolic Matrix(12031,-32450,3570,-9629) (89/33,116/43) -> (246/73,91/27) Hyperbolic Matrix(1253,-3386,346,-935) (27/10,46/17) -> (76/21,29/8) Hyperbolic Matrix(10063,-27378,3698,-10061) (68/25,117/43) -> (117/43,166/61) Parabolic Matrix(1181,-3218,258,-703) (49/18,30/11) -> (32/7,55/12) Hyperbolic Matrix(2493,-6908,668,-1851) (36/13,61/22) -> (97/26,56/15) Hyperbolic Matrix(31,-90,10,-29) (14/5,3/1) -> (3/1,16/5) Parabolic Matrix(2319,-7442,722,-2317) (16/5,61/19) -> (61/19,106/33) Parabolic Matrix(645,-2116,196,-643) (36/11,23/7) -> (23/7,56/17) Parabolic Matrix(4085,-13474,754,-2487) (122/37,33/10) -> (65/12,168/31) Hyperbolic Matrix(52443,-176716,9676,-32605) (155/46,401/119) -> (439/81,271/50) Hyperbolic Matrix(52039,-175362,9602,-32357) (401/119,246/73) -> (168/31,439/81) Hyperbolic Matrix(559,-1922,162,-557) (24/7,31/9) -> (31/9,38/11) Parabolic Matrix(1223,-4418,338,-1221) (18/5,47/13) -> (47/13,76/21) Parabolic Matrix(2143,-7938,578,-2141) (37/10,63/17) -> (63/17,89/24) Parabolic Matrix(821,-3058,178,-663) (26/7,41/11) -> (23/5,60/13) Hyperbolic Matrix(417,-1742,62,-259) (25/6,21/5) -> (47/7,27/4) Hyperbolic Matrix(10841,-50080,2000,-9239) (97/21,231/50) -> (271/50,103/19) Hyperbolic Matrix(463,-2178,98,-461) (14/3,33/7) -> (33/7,52/11) Parabolic Matrix(103,-578,18,-101) (11/2,17/3) -> (17/3,23/4) Parabolic Matrix(1519,-9522,242,-1517) (25/4,69/11) -> (69/11,113/18) Parabolic Matrix(37,-324,4,-35) (17/2,9/1) -> (9/1,19/2) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(381,182,538,257) -> Matrix(1,0,-2,1) Matrix(77,36,524,245) -> Matrix(7,-2,4,-1) Matrix(73,34,526,245) -> Matrix(5,-2,8,-3) Matrix(4473,2074,1046,485) -> Matrix(1,0,-2,1) Matrix(1711,792,-4392,-2033) -> Matrix(1,0,-4,1) Matrix(2521,1160,1480,681) -> Matrix(7,-2,-10,3) Matrix(2141,982,1258,577) -> Matrix(11,-4,-8,3) Matrix(961,440,1400,641) -> Matrix(5,-2,-2,1) Matrix(1327,606,2354,1075) -> Matrix(1,0,-4,1) Matrix(75,34,-514,-233) -> Matrix(1,0,-2,1) Matrix(1241,560,800,361) -> Matrix(11,-4,-8,3) Matrix(361,162,-1522,-683) -> Matrix(5,-2,8,-3) Matrix(795,356,364,163) -> Matrix(5,-2,-2,1) Matrix(2441,1080,1720,761) -> Matrix(5,-2,-12,5) Matrix(1861,822,1578,697) -> Matrix(1,0,-2,1) Matrix(2863,1262,1858,819) -> Matrix(5,-2,-2,1) Matrix(427,188,-2428,-1069) -> Matrix(5,-2,8,-3) Matrix(355,156,644,283) -> Matrix(5,-2,-2,1) Matrix(353,154,-1914,-835) -> Matrix(11,-4,14,-5) Matrix(923,402,-2482,-1081) -> Matrix(5,-2,8,-3) Matrix(1199,520,920,399) -> Matrix(1,0,-2,1) Matrix(209,90,-490,-211) -> Matrix(1,0,0,1) Matrix(2575,1094,346,147) -> Matrix(1,0,-4,1) Matrix(1319,560,-6880,-2921) -> Matrix(5,-2,8,-3) Matrix(1665,706,974,413) -> Matrix(5,-2,-2,1) Matrix(4225,1786,1734,733) -> Matrix(5,-2,-2,1) Matrix(10183,4302,6578,2779) -> Matrix(11,-4,-8,3) Matrix(1937,818,-9138,-3859) -> Matrix(9,-4,16,-7) Matrix(1801,760,3320,1401) -> Matrix(13,-6,-2,1) Matrix(7123,3004,1316,555) -> Matrix(5,-2,-2,1) Matrix(7675,3236,2284,963) -> Matrix(5,-2,-2,1) Matrix(343,144,-1584,-665) -> Matrix(1,0,0,1) Matrix(2271,952,1448,607) -> Matrix(1,0,-4,1) Matrix(3443,1442,-9362,-3921) -> Matrix(1,0,0,1) Matrix(3643,1524,1996,835) -> Matrix(3,-2,2,-1) Matrix(3435,1436,964,403) -> Matrix(1,0,-4,1) Matrix(1917,796,2324,965) -> Matrix(5,-2,-2,1) Matrix(4305,1786,1574,653) -> Matrix(5,-2,-2,1) Matrix(1367,566,954,395) -> Matrix(5,-2,8,-3) Matrix(475,196,-1156,-477) -> Matrix(5,-2,8,-3) Matrix(679,278,1082,443) -> Matrix(1,0,-4,1) Matrix(201,82,-1282,-523) -> Matrix(5,-2,8,-3) Matrix(875,356,204,83) -> Matrix(5,-2,-2,1) Matrix(199,78,722,283) -> Matrix(3,-2,2,-1) Matrix(1839,718,1442,563) -> Matrix(1,0,-2,1) Matrix(5637,2198,2362,921) -> Matrix(1,-2,0,1) Matrix(10157,3958,3082,1201) -> Matrix(1,-2,0,1) Matrix(719,280,-5960,-2321) -> Matrix(1,0,6,1) Matrix(197,76,324,125) -> Matrix(5,-2,-2,1) Matrix(193,74,326,125) -> Matrix(3,-2,2,-1) Matrix(515,196,1164,443) -> Matrix(1,0,0,1) Matrix(901,342,-3222,-1223) -> Matrix(1,0,-4,1) Matrix(1289,488,1672,633) -> Matrix(1,0,-4,1) Matrix(1481,560,320,121) -> Matrix(11,-4,-8,3) Matrix(317,118,1722,641) -> Matrix(3,-2,2,-1) Matrix(1527,566,634,235) -> Matrix(1,-2,0,1) Matrix(2411,892,-8252,-3053) -> Matrix(1,0,-8,1) Matrix(2921,1080,760,281) -> Matrix(9,-2,-4,1) Matrix(65,24,696,257) -> Matrix(1,0,-2,1) Matrix(2411,890,4310,1591) -> Matrix(1,0,-4,1) Matrix(4811,1770,2150,791) -> Matrix(5,-2,-2,1) Matrix(7841,2882,-26562,-9763) -> Matrix(1,0,-2,1) Matrix(9171,3370,3350,1231) -> Matrix(5,-2,-2,1) Matrix(1957,718,1202,441) -> Matrix(1,0,-2,1) Matrix(1327,486,314,115) -> Matrix(5,-2,-2,1) Matrix(695,254,-2334,-853) -> Matrix(9,-4,16,-7) Matrix(1439,520,440,159) -> Matrix(1,0,-2,1) Matrix(877,316,1124,405) -> Matrix(1,0,0,1) Matrix(1999,718,1122,403) -> Matrix(1,0,-2,1) Matrix(2621,940,1620,581) -> Matrix(1,0,-2,1) Matrix(681,242,-1922,-683) -> Matrix(5,-2,8,-3) Matrix(1793,634,806,285) -> Matrix(1,0,-2,1) Matrix(1175,414,1666,587) -> Matrix(1,0,0,1) Matrix(2341,822,618,217) -> Matrix(1,0,-2,1) Matrix(3135,1094,2026,707) -> Matrix(5,-2,-2,1) Matrix(2335,814,2946,1027) -> Matrix(5,-2,-2,1) Matrix(1411,490,550,191) -> Matrix(1,0,-2,1) Matrix(1471,470,410,131) -> Matrix(1,0,-2,1) Matrix(1523,484,236,75) -> Matrix(1,0,-2,1) Matrix(6029,1910,3690,1169) -> Matrix(3,-2,2,-1) Matrix(1167,368,352,111) -> Matrix(5,-2,-2,1) Matrix(1571,492,1108,347) -> Matrix(1,0,-4,1) Matrix(521,162,-1682,-523) -> Matrix(5,-2,8,-3) Matrix(1797,556,404,125) -> Matrix(1,0,-2,1) Matrix(1439,440,520,159) -> Matrix(1,0,-2,1) Matrix(1037,316,804,245) -> Matrix(1,0,0,1) Matrix(1609,488,1032,313) -> Matrix(1,0,-4,1) Matrix(403,122,1318,399) -> Matrix(1,0,-2,1) Matrix(1313,392,968,289) -> Matrix(13,-6,-2,1) Matrix(283,84,1196,355) -> Matrix(3,-2,2,-1) Matrix(1081,320,1760,521) -> Matrix(1,0,-2,1) Matrix(11411,3370,4710,1391) -> Matrix(1,-2,0,1) Matrix(21113,6232,15208,4489) -> Matrix(1,0,0,1) Matrix(1363,402,-6242,-1841) -> Matrix(1,0,0,1) Matrix(3847,1128,2152,631) -> Matrix(1,0,0,1) Matrix(621,182,58,17) -> Matrix(1,0,-2,1) Matrix(1415,414,1186,347) -> Matrix(1,0,0,1) Matrix(5313,1552,3728,1089) -> Matrix(1,0,12,1) Matrix(563,164,1356,395) -> Matrix(7,-2,4,-1) Matrix(283,82,-1522,-441) -> Matrix(5,-2,8,-3) Matrix(277,78,1282,361) -> Matrix(5,-4,4,-3) Matrix(1445,406,1114,313) -> Matrix(1,0,0,1) Matrix(5441,1520,3440,961) -> Matrix(1,0,16,1) Matrix(1717,478,722,201) -> Matrix(9,-2,-4,1) Matrix(277,76,164,45) -> Matrix(5,-2,-2,1) Matrix(273,74,166,45) -> Matrix(3,-2,2,-1) Matrix(271,72,-2232,-593) -> Matrix(1,0,-4,1) Matrix(2395,636,7844,2083) -> Matrix(1,0,-4,1) Matrix(2287,606,434,115) -> Matrix(1,0,-4,1) Matrix(1195,316,1524,403) -> Matrix(1,0,-2,1) Matrix(595,156,164,43) -> Matrix(5,-2,-2,1) Matrix(159,38,682,163) -> Matrix(3,-2,2,-1) Matrix(997,236,1204,285) -> Matrix(1,0,-2,1) Matrix(155,36,-676,-157) -> Matrix(5,-2,8,-3) Matrix(1401,320,880,201) -> Matrix(3,-2,8,-5) Matrix(723,164,1036,235) -> Matrix(3,-2,-4,3) Matrix(2633,594,1086,245) -> Matrix(1,-2,0,1) Matrix(1085,244,876,197) -> Matrix(1,0,-2,1) Matrix(1179,260,1900,419) -> Matrix(1,-2,0,1) Matrix(767,168,872,191) -> Matrix(1,0,-2,1) Matrix(7011,1532,1588,347) -> Matrix(1,0,-2,1) Matrix(3477,758,922,201) -> Matrix(1,0,-2,1) Matrix(1481,320,560,121) -> Matrix(9,-4,-2,1) Matrix(2087,446,1474,315) -> Matrix(3,-2,-4,3) Matrix(967,206,5234,1115) -> Matrix(3,-2,2,-1) Matrix(865,184,456,97) -> Matrix(1,0,-2,1) Matrix(23753,5032,8728,1849) -> Matrix(37,-24,-20,13) Matrix(10197,2158,6242,1321) -> Matrix(5,-4,4,-3) Matrix(3349,708,2332,493) -> Matrix(3,-2,2,-1) Matrix(963,202,758,159) -> Matrix(1,0,-2,1) Matrix(49,10,-250,-51) -> Matrix(1,0,0,1) Matrix(6041,1160,1880,361) -> Matrix(1,0,-2,1) Matrix(4599,880,1040,199) -> Matrix(1,0,-2,1) Matrix(643,122,838,159) -> Matrix(1,0,-2,1) Matrix(1081,202,198,37) -> Matrix(1,0,-2,1) Matrix(1521,280,440,81) -> Matrix(5,-4,-6,5) Matrix(439,78,242,43) -> Matrix(3,-2,2,-1) Matrix(6113,1072,1648,289) -> Matrix(1,0,-2,1) Matrix(1259,220,1940,339) -> Matrix(3,-2,2,-1) Matrix(3001,520,1160,201) -> Matrix(1,0,-2,1) Matrix(1157,198,1642,281) -> Matrix(3,-2,8,-5) Matrix(523,84,716,115) -> Matrix(3,-2,2,-1) Matrix(993,154,806,125) -> Matrix(1,0,-2,1) Matrix(517,78,802,121) -> Matrix(5,-4,4,-3) Matrix(1553,232,328,49) -> Matrix(13,-12,-14,13) Matrix(1483,204,836,115) -> Matrix(1,0,0,1) Matrix(925,124,276,37) -> Matrix(1,0,-2,1) Matrix(785,104,1336,177) -> Matrix(5,-4,4,-3) Matrix(917,118,1562,201) -> Matrix(1,-2,2,-3) Matrix(6281,760,1000,121) -> Matrix(1,0,12,1) Matrix(1771,212,1228,147) -> Matrix(1,0,-2,1) Matrix(317,36,44,5) -> Matrix(3,-2,-4,3) Matrix(313,34,46,5) -> Matrix(1,-2,0,1) Matrix(305,24,216,17) -> Matrix(1,0,-2,1) Matrix(977,-102,182,-19) -> Matrix(1,0,-2,1) Matrix(1147,-134,214,-25) -> Matrix(1,-2,0,1) Matrix(357,-44,284,-35) -> Matrix(1,0,0,1) Matrix(1343,-176,496,-65) -> Matrix(5,-2,-2,1) Matrix(2643,-358,598,-81) -> Matrix(1,0,-2,1) Matrix(1045,-156,556,-83) -> Matrix(1,-4,0,1) Matrix(1009,-152,312,-47) -> Matrix(1,-2,0,1) Matrix(243,-38,518,-81) -> Matrix(1,2,0,1) Matrix(449,-72,792,-127) -> Matrix(1,0,-4,1) Matrix(715,-124,444,-77) -> Matrix(5,-4,4,-3) Matrix(543,-98,338,-61) -> Matrix(1,-2,2,-3) Matrix(7497,-1382,1622,-299) -> Matrix(3,-4,-2,3) Matrix(1721,-320,640,-119) -> Matrix(1,-2,0,1) Matrix(2087,-394,874,-165) -> Matrix(1,-2,0,1) Matrix(871,-168,1208,-233) -> Matrix(1,0,0,1) Matrix(165,-34,34,-7) -> Matrix(1,0,-2,1) Matrix(821,-178,3058,-663) -> Matrix(1,-2,2,-3) Matrix(263,-58,458,-101) -> Matrix(1,-2,2,-3) Matrix(359,-82,162,-37) -> Matrix(1,-2,0,1) Matrix(1913,-448,1328,-311) -> Matrix(1,0,0,1) Matrix(773,-186,1226,-295) -> Matrix(1,0,-4,1) Matrix(413,-108,348,-91) -> Matrix(1,-2,0,1) Matrix(2089,-552,632,-167) -> Matrix(1,-2,0,1) Matrix(1929,-512,1232,-327) -> Matrix(1,0,-2,1) Matrix(4733,-1266,3346,-895) -> Matrix(1,0,-2,1) Matrix(9591,-2570,5930,-1589) -> Matrix(1,-2,0,1) Matrix(3563,-958,4318,-1161) -> Matrix(1,-2,0,1) Matrix(693,-188,188,-51) -> Matrix(1,-2,0,1) Matrix(1253,-346,3386,-935) -> Matrix(1,-2,0,1) Matrix(1285,-356,3476,-963) -> Matrix(1,4,0,1) Matrix(1439,-402,562,-157) -> Matrix(1,0,0,1) Matrix(2343,-658,3778,-1061) -> Matrix(1,-2,0,1) Matrix(2903,-818,1778,-501) -> Matrix(3,-2,2,-1) Matrix(527,-154,154,-45) -> Matrix(3,-4,-2,3) Matrix(277,-82,402,-119) -> Matrix(1,-2,0,1) Matrix(2089,-632,552,-167) -> Matrix(1,-2,0,1) Matrix(645,-196,2116,-643) -> Matrix(1,-2,0,1) Matrix(24455,-7464,17224,-5257) -> Matrix(1,0,-2,1) Matrix(31,-10,90,-29) -> Matrix(1,0,0,1) Matrix(1181,-418,178,-63) -> Matrix(1,-2,0,1) Matrix(1801,-640,560,-199) -> Matrix(1,-2,0,1) Matrix(619,-222,382,-137) -> Matrix(1,0,0,1) Matrix(1699,-622,702,-257) -> Matrix(3,-4,-2,3) Matrix(1111,-408,1288,-473) -> Matrix(1,-2,2,-3) Matrix(2223,-818,818,-301) -> Matrix(1,-4,0,1) Matrix(1343,-496,176,-65) -> Matrix(1,-2,-2,5) Matrix(3239,-1202,962,-357) -> Matrix(1,-2,0,1) Matrix(1721,-640,320,-119) -> Matrix(1,-2,0,1) Matrix(377,-144,144,-55) -> Matrix(1,0,0,1) Matrix(2281,-880,1760,-679) -> Matrix(1,0,0,1) Matrix(1903,-736,1616,-625) -> Matrix(1,0,0,1) Matrix(1037,-402,1442,-559) -> Matrix(1,0,0,1) Matrix(1439,-562,402,-157) -> Matrix(1,0,0,1) Matrix(2041,-800,1120,-439) -> Matrix(3,-2,2,-1) Matrix(1663,-656,976,-385) -> Matrix(1,0,-2,1) Matrix(655,-266,426,-173) -> Matrix(1,-2,0,1) Matrix(1961,-800,880,-359) -> Matrix(1,-2,0,1) Matrix(1475,-604,2044,-837) -> Matrix(1,0,0,1) Matrix(2239,-920,1560,-641) -> Matrix(1,0,0,1) Matrix(1699,-702,622,-257) -> Matrix(3,-4,-2,3) Matrix(1583,-656,736,-305) -> Matrix(3,-4,-2,3) Matrix(85,-36,196,-83) -> Matrix(1,-2,0,1) Matrix(529,-232,472,-207) -> Matrix(1,0,0,1) Matrix(1917,-842,362,-159) -> Matrix(1,0,0,1) Matrix(3303,-1456,2416,-1065) -> Matrix(3,2,-2,-1) Matrix(359,-162,82,-37) -> Matrix(1,-2,0,1) Matrix(439,-202,602,-277) -> Matrix(1,0,0,1) Matrix(1583,-736,656,-305) -> Matrix(3,-4,-2,3) Matrix(407,-194,514,-245) -> Matrix(1,-4,0,1) Matrix(183,-98,338,-181) -> Matrix(1,-6,0,1) Matrix(1217,-662,182,-99) -> Matrix(1,2,0,1) Matrix(413,-226,466,-255) -> Matrix(1,2,0,1) Matrix(2041,-1120,800,-439) -> Matrix(1,2,-2,-3) Matrix(693,-386,386,-215) -> Matrix(1,2,0,1) Matrix(2129,-1190,950,-531) -> Matrix(3,2,-2,-1) Matrix(1127,-632,872,-489) -> Matrix(1,0,2,1) Matrix(1613,-908,588,-331) -> Matrix(3,2,-2,-1) Matrix(2479,-1400,1560,-881) -> Matrix(1,0,4,1) Matrix(639,-362,842,-477) -> Matrix(1,0,2,1) Matrix(1761,-1000,280,-159) -> Matrix(1,0,6,1) Matrix(965,-556,1116,-643) -> Matrix(1,0,0,1) Matrix(1647,-952,1192,-689) -> Matrix(1,0,-2,1) Matrix(557,-324,404,-235) -> Matrix(1,-2,0,1) Matrix(1185,-694,934,-547) -> Matrix(1,-2,0,1) Matrix(1663,-976,656,-385) -> Matrix(1,0,-2,1) Matrix(2383,-1458,1538,-941) -> Matrix(1,0,0,1) Matrix(2903,-1778,818,-501) -> Matrix(1,2,-2,-3) Matrix(1933,-1186,546,-335) -> Matrix(1,0,0,1) Matrix(619,-382,222,-137) -> Matrix(1,0,0,1) Matrix(2841,-1760,2000,-1239) -> Matrix(1,2,-4,-7) Matrix(715,-444,124,-77) -> Matrix(3,4,-4,-5) Matrix(2479,-1560,1400,-881) -> Matrix(1,0,4,1) Matrix(3731,-2350,2110,-1329) -> Matrix(1,0,4,1) Matrix(5741,-3618,2258,-1423) -> Matrix(1,0,2,1) Matrix(2403,-1516,1276,-805) -> Matrix(7,2,-4,-1) Matrix(539,-342,342,-217) -> Matrix(1,0,-4,1) Matrix(1929,-1232,512,-327) -> Matrix(1,0,-2,1) Matrix(2269,-1450,1050,-671) -> Matrix(1,0,-2,1) Matrix(2733,-1748,1268,-811) -> Matrix(1,-2,0,1) Matrix(877,-562,1122,-719) -> Matrix(1,0,0,1) Matrix(2383,-1538,1458,-941) -> Matrix(1,0,0,1) Matrix(1651,-1070,1310,-849) -> Matrix(1,0,0,1) Matrix(655,-426,266,-173) -> Matrix(1,-2,0,1) Matrix(1283,-876,476,-325) -> Matrix(1,0,0,1) Matrix(3727,-2554,2634,-1805) -> Matrix(1,2,-2,-3) Matrix(1913,-1328,448,-311) -> Matrix(1,0,0,1) Matrix(6207,-4312,4792,-3329) -> Matrix(1,2,0,1) Matrix(3115,-2166,2406,-1673) -> Matrix(1,0,2,1) Matrix(2239,-1560,920,-641) -> Matrix(1,0,0,1) Matrix(1269,-892,892,-627) -> Matrix(1,0,-8,1) Matrix(2841,-2000,1760,-1239) -> Matrix(7,-2,4,-1) Matrix(5671,-4008,1688,-1193) -> Matrix(1,0,-2,1) Matrix(4733,-3346,1266,-895) -> Matrix(1,0,-2,1) Matrix(6911,-4890,1850,-1309) -> Matrix(1,-2,0,1) Matrix(2153,-1526,1686,-1195) -> Matrix(1,0,-2,1) Matrix(351,-250,490,-349) -> Matrix(1,0,0,1) Matrix(1979,-1422,302,-217) -> Matrix(1,-2,0,1) Matrix(3999,-2882,2882,-2077) -> Matrix(1,0,-2,1) Matrix(557,-404,324,-235) -> Matrix(1,-2,0,1) Matrix(4621,-3380,1940,-1419) -> Matrix(3,-4,-2,3) Matrix(1063,-778,138,-101) -> Matrix(1,-2,-2,5) Matrix(345,-254,254,-187) -> Matrix(1,-4,0,1) Matrix(3067,-2332,1932,-1469) -> Matrix(1,0,2,1) Matrix(907,-692,772,-589) -> Matrix(1,0,0,1) Matrix(929,-712,792,-607) -> Matrix(1,2,0,1) Matrix(2281,-1760,880,-679) -> Matrix(1,0,0,1) Matrix(1127,-872,632,-489) -> Matrix(1,0,2,1) Matrix(2153,-1686,1526,-1195) -> Matrix(1,0,-2,1) Matrix(1185,-934,694,-547) -> Matrix(1,-2,0,1) Matrix(1273,-1006,1006,-795) -> Matrix(1,-4,0,1) Matrix(357,-284,44,-35) -> Matrix(1,0,0,1) Matrix(199,-162,242,-197) -> Matrix(1,-2,0,1) Matrix(7363,-6078,1358,-1121) -> Matrix(1,0,0,1) Matrix(2015,-1666,306,-253) -> Matrix(1,0,0,1) Matrix(413,-348,108,-91) -> Matrix(1,-2,0,1) Matrix(1903,-1616,736,-625) -> Matrix(1,0,0,1) Matrix(907,-772,692,-589) -> Matrix(1,0,0,1) Matrix(4153,-3608,2568,-2231) -> Matrix(1,-2,0,1) Matrix(2011,-1750,470,-409) -> Matrix(1,0,0,1) Matrix(507,-452,212,-189) -> Matrix(1,-2,0,1) Matrix(593,-648,248,-271) -> Matrix(1,-2,0,1) Matrix(413,-466,226,-255) -> Matrix(1,2,0,1) Matrix(1583,-1818,1098,-1261) -> Matrix(1,0,0,1) Matrix(2081,-2398,558,-643) -> Matrix(1,0,0,1) Matrix(853,-986,186,-215) -> Matrix(3,2,-2,-1) Matrix(1809,-2152,712,-847) -> Matrix(1,0,0,1) Matrix(199,-242,162,-197) -> Matrix(1,-2,0,1) Matrix(2077,-2564,644,-795) -> Matrix(1,0,0,1) Matrix(3057,-3782,662,-819) -> Matrix(3,2,-2,-1) Matrix(1591,-2008,248,-313) -> Matrix(1,-2,0,1) Matrix(7351,-9290,2650,-3349) -> Matrix(1,-12,0,1) Matrix(8231,-10408,2968,-3753) -> Matrix(1,12,0,1) Matrix(5079,-6482,3602,-4597) -> Matrix(1,2,-2,-3) Matrix(877,-1122,562,-719) -> Matrix(1,0,0,1) Matrix(885,-1156,676,-883) -> Matrix(1,-2,0,1) Matrix(639,-842,362,-477) -> Matrix(1,0,2,1) Matrix(783,-1058,578,-781) -> Matrix(1,-12,0,1) Matrix(1285,-1754,474,-647) -> Matrix(1,0,0,1) Matrix(4341,-5938,3058,-4183) -> Matrix(1,2,-4,-7) Matrix(439,-602,202,-277) -> Matrix(1,0,0,1) Matrix(1343,-1858,738,-1021) -> Matrix(1,2,0,1) Matrix(871,-1208,168,-233) -> Matrix(1,0,0,1) Matrix(12463,-17298,8978,-12461) -> Matrix(1,0,4,1) Matrix(1037,-1442,402,-559) -> Matrix(1,0,0,1) Matrix(1413,-1988,548,-771) -> Matrix(1,0,0,1) Matrix(5263,-7418,2938,-4141) -> Matrix(5,6,4,5) Matrix(4757,-6724,3364,-4755) -> Matrix(1,2,-2,-3) Matrix(36961,-52480,8000,-11359) -> Matrix(7,2,-4,-1) Matrix(3103,-4418,2178,-3101) -> Matrix(1,0,28,1) Matrix(3953,-5686,1526,-2195) -> Matrix(1,0,-2,1) Matrix(4329,-6232,1672,-2407) -> Matrix(1,-2,0,1) Matrix(277,-402,82,-119) -> Matrix(1,-2,0,1) Matrix(587,-894,174,-265) -> Matrix(1,0,0,1) Matrix(787,-1214,94,-145) -> Matrix(1,0,0,1) Matrix(2715,-4244,1124,-1757) -> Matrix(3,2,-2,-1) Matrix(5007,-7834,2074,-3245) -> Matrix(5,4,-4,-3) Matrix(3039,-4802,1922,-3037) -> Matrix(1,0,36,1) Matrix(773,-1226,186,-295) -> Matrix(1,0,-4,1) Matrix(1083,-1718,278,-441) -> Matrix(5,-2,-2,1) Matrix(12709,-20172,3772,-5987) -> Matrix(5,-2,-2,1) Matrix(3799,-6042,1482,-2357) -> Matrix(1,0,-2,1) Matrix(2343,-3778,658,-1061) -> Matrix(1,-2,0,1) Matrix(7439,-12002,3122,-5037) -> Matrix(3,-4,-2,3) Matrix(2293,-3706,826,-1335) -> Matrix(1,-4,0,1) Matrix(2357,-3844,1444,-2355) -> Matrix(3,-2,2,-1) Matrix(1715,-2924,444,-757) -> Matrix(3,2,-2,-1) Matrix(837,-1444,484,-835) -> Matrix(1,2,-2,-3) Matrix(1493,-2586,586,-1015) -> Matrix(1,0,0,1) Matrix(263,-458,58,-101) -> Matrix(3,2,-2,-1) Matrix(449,-792,72,-127) -> Matrix(1,0,-4,1) Matrix(4641,-8200,1720,-3039) -> Matrix(1,0,-2,1) Matrix(3161,-5600,880,-1559) -> Matrix(1,0,-2,1) Matrix(2407,-4274,994,-1765) -> Matrix(1,-2,0,1) Matrix(2151,-3848,488,-873) -> Matrix(1,0,-2,1) Matrix(6623,-11858,3698,-6621) -> Matrix(13,-12,12,-11) Matrix(183,-338,98,-181) -> Matrix(1,-6,0,1) Matrix(243,-518,38,-81) -> Matrix(1,2,0,1) Matrix(915,-2044,124,-277) -> Matrix(1,2,-2,-3) Matrix(85,-196,36,-83) -> Matrix(1,-2,0,1) Matrix(5769,-13750,1750,-4171) -> Matrix(1,0,0,1) Matrix(8603,-20556,2396,-5725) -> Matrix(1,0,0,1) Matrix(17239,-41202,4802,-11477) -> Matrix(1,4,0,1) Matrix(605,-1476,116,-283) -> Matrix(1,0,0,1) Matrix(719,-1762,162,-397) -> Matrix(1,0,0,1) Matrix(1839,-4522,682,-1677) -> Matrix(1,0,0,1) Matrix(5599,-14360,1560,-4001) -> Matrix(1,0,0,1) Matrix(1589,-4092,492,-1267) -> Matrix(1,0,0,1) Matrix(639,-1682,242,-637) -> Matrix(1,-8,0,1) Matrix(217,-582,22,-59) -> Matrix(1,2,-2,-3) Matrix(12031,-32450,3570,-9629) -> Matrix(1,0,0,1) Matrix(1253,-3386,346,-935) -> Matrix(1,-2,0,1) Matrix(10063,-27378,3698,-10061) -> Matrix(23,48,-12,-25) Matrix(1181,-3218,258,-703) -> Matrix(1,0,0,1) Matrix(2493,-6908,668,-1851) -> Matrix(1,-2,0,1) Matrix(31,-90,10,-29) -> Matrix(1,0,0,1) Matrix(2319,-7442,722,-2317) -> Matrix(1,0,0,1) Matrix(645,-2116,196,-643) -> Matrix(1,-2,0,1) Matrix(4085,-13474,754,-2487) -> Matrix(1,0,0,1) Matrix(52443,-176716,9676,-32605) -> Matrix(1,2,-2,-3) Matrix(52039,-175362,9602,-32357) -> Matrix(3,2,-2,-1) Matrix(559,-1922,162,-557) -> Matrix(7,8,-8,-9) Matrix(1223,-4418,338,-1221) -> Matrix(1,-6,0,1) Matrix(2143,-7938,578,-2141) -> Matrix(1,0,0,1) Matrix(821,-3058,178,-663) -> Matrix(3,2,-2,-1) Matrix(417,-1742,62,-259) -> Matrix(1,-2,0,1) Matrix(10841,-50080,2000,-9239) -> Matrix(1,2,-2,-3) Matrix(463,-2178,98,-461) -> Matrix(23,24,-24,-25) Matrix(103,-578,18,-101) -> Matrix(5,6,-6,-7) Matrix(1519,-9522,242,-1517) -> Matrix(1,0,28,1) Matrix(37,-324,4,-35) -> Matrix(1,2,-2,-3) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 64 Degree of the the map X: 64 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 1/9 1/7 3/17 1/4 1/3 3/7 7/13 11/19 3/5 2/3 5/7 7/9 9/11 1/1 13/11 11/9 67/53 9/7 17/13 23/17 93/67 7/5 47/33 59/41 3/2 17/11 61/39 49/31 5/3 19/11 23/13 77/43 13/7 2/1 11/5 7/3 31/13 141/59 17/7 23/9 18/7 13/5 29/11 35/13 117/43 41/15 11/4 25/9 3/1 61/19 23/7 401/119 31/9 25/7 11/3 63/17 19/5 4/1 13/3 9/2 23/5 33/7 5/1 21/4 27/5 11/2 17/3 6/1 69/11 19/3 13/2 33/5 7/1 15/2 23/3 8/1 17/2 9/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 0/1 0/1 1/1 1/9 1/1 2/17 1/1 1/0 1/8 -1/1 0/1 2/15 2/3 1/1 1/7 1/1 3/20 0/1 1/1 2/13 1/0 3/19 -1/1 0/1 1/6 1/2 1/1 3/17 1/1 2/11 1/1 2/1 5/27 0/1 2/1 3/16 1/1 1/0 4/21 1/1 1/5 0/1 1/1 3/14 1/1 6/5 5/23 1/1 3/2 2/1 2/9 2/1 1/0 3/13 0/1 2/1 4/17 1/1 1/0 1/4 1/1 5/19 1/0 9/34 0/1 1/0 4/15 1/1 1/0 15/56 2/1 3/1 11/41 0/1 1/1 1/0 7/26 1/1 1/0 3/11 1/1 1/0 5/18 -1/1 0/1 7/25 0/1 9/32 0/1 1/1 2/7 0/1 1/1 5/17 1/1 2/1 3/10 1/1 2/1 10/33 2/1 1/0 7/23 1/0 4/13 1/1 2/1 1/3 0/1 1/1 1/0 6/17 1/1 2/1 11/31 1/1 1/0 5/14 1/1 1/0 4/11 1/1 11/30 1/1 2/1 18/49 5/3 2/1 7/19 2/1 1/0 17/46 3/1 4/1 10/27 0/1 1/0 13/35 0/1 2/1 3/8 2/1 1/0 5/13 0/1 1/0 17/44 1/1 1/0 12/31 0/1 1/0 7/18 1/0 9/23 0/1 11/28 0/1 1/1 2/5 1/1 1/0 11/27 1/1 1/0 9/22 0/1 1/1 16/39 1/1 7/17 1/1 12/29 1/1 2/1 5/12 2/1 3/1 3/7 1/0 7/16 0/1 1/1 18/41 -1/1 1/0 11/25 -1/1 0/1 1/0 4/9 0/1 1/1 5/11 0/1 2/1 6/13 1/1 1/0 7/15 1/1 2/1 8/17 1/0 1/2 0/1 1/0 7/13 1/0 13/24 -6/1 1/0 6/11 -3/1 -2/1 5/9 -1/1 1/0 19/34 -1/1 -2/3 14/25 -1/1 0/1 9/16 -1/1 22/39 -1/1 -1/2 13/23 -1/1 -1/2 0/1 17/30 -1/2 -1/3 21/37 -1/5 0/1 4/7 0/1 1/2 19/33 0/1 1/1 1/0 15/26 0/1 1/1 11/19 1/1 7/12 1/1 1/0 3/5 1/0 8/13 -1/1 1/0 13/21 -2/1 1/0 31/50 -2/1 -1/1 18/29 -3/2 -1/1 5/8 -1/1 0/1 17/27 -1/2 -1/3 0/1 46/73 -1/3 0/1 29/46 -1/3 12/19 -1/7 0/1 7/11 0/1 1/2 23/36 1/2 1/1 39/61 1/1 16/25 0/1 1/1 9/14 2/3 1/1 11/17 1/1 2/1 1/0 13/20 1/1 1/0 2/3 1/0 13/19 -2/1 0/1 11/16 -1/1 0/1 9/13 -1/1 0/1 25/36 -1/1 1/0 41/59 -1/1 16/23 -1/1 0/1 7/10 -1/3 0/1 19/27 0/1 1/4 31/44 1/3 12/17 0/1 1/2 41/58 1/2 1/1 29/41 1/1 17/24 0/1 1/1 22/31 1/1 2/1 5/7 0/1 1/1 1/0 28/39 1/1 2/1 23/32 1/0 18/25 0/1 1/0 31/43 0/1 1/1 44/61 1/1 13/18 0/1 1/1 8/11 1/1 1/0 19/26 1/1 30/41 2/1 7/3 11/15 2/1 1/0 3/4 -1/1 1/0 19/25 0/1 1/1 1/0 16/21 0/1 1/0 13/17 1/0 10/13 -2/1 -1/1 17/22 -1/1 0/1 7/9 0/1 18/23 0/1 1/1 11/14 1/1 15/19 2/1 1/0 19/24 -4/1 1/0 23/29 -2/1 -1/1 1/0 4/5 0/1 1/1 9/11 1/0 14/17 -2/1 -1/1 19/23 -1/1 1/0 5/6 0/1 1/0 11/13 1/0 17/20 0/1 1/0 6/7 -1/1 0/1 19/22 0/1 1/1 13/15 0/1 1/1 1/0 20/23 -2/1 1/0 7/8 1/0 8/9 -1/1 0/1 1/1 0/1 1/0 10/9 -1/1 1/0 9/8 0/1 1/1 8/7 1/0 23/20 2/1 1/0 15/13 -1/1 0/1 1/0 7/6 0/1 1/1 20/17 0/1 1/0 13/11 1/0 19/16 -1/1 6/5 0/1 1/0 11/9 1/0 16/13 -2/1 1/0 21/17 -1/1 1/0 5/4 -1/1 0/1 29/23 1/1 2/1 1/0 24/19 4/1 1/0 67/53 1/0 43/34 -8/1 1/0 19/15 -2/1 1/0 14/11 -1/1 23/18 -1/1 0/1 9/7 0/1 22/17 0/1 1/1 13/10 1/1 2/1 17/13 1/0 21/16 0/1 1/0 4/3 1/1 1/0 23/17 1/0 19/14 -5/1 1/0 15/11 -2/1 1/0 41/30 -7/3 -2/1 26/19 -1/1 11/8 -1/1 1/0 29/21 -1/1 47/34 -1/1 0/1 18/13 -1/1 0/1 43/31 -1/1 0/1 68/49 -1/2 0/1 93/67 0/1 25/18 0/1 1/0 7/5 -1/1 0/1 1/0 31/22 -2/1 -1/1 24/17 -1/1 0/1 41/29 -1/1 58/41 -1/1 -1/2 17/12 -1/2 0/1 44/31 -1/3 71/50 -1/3 0/1 27/19 -1/4 0/1 37/26 -1/11 0/1 47/33 0/1 10/7 0/1 1/3 23/16 0/1 1/1 59/41 1/1 36/25 1/1 1/0 13/9 0/1 1/1 3/2 1/0 23/15 -1/1 1/0 20/13 -1/1 1/0 17/11 -2/1 -1/1 1/0 14/9 -1/1 -2/3 25/16 -1/1 0/1 61/39 -1/1 36/23 -1/1 -1/2 11/7 -1/2 0/1 30/19 -1/11 0/1 49/31 0/1 19/12 0/1 1/7 46/29 1/3 73/46 0/1 1/3 100/63 0/1 1/2 27/17 0/1 1/3 1/2 8/5 0/1 1/1 37/23 1/1 29/18 1/1 3/2 50/31 1/1 2/1 71/44 1/1 21/13 2/1 1/0 34/21 1/1 13/8 1/1 1/0 5/3 1/0 12/7 -1/1 1/0 31/18 -2/1 -1/1 19/11 -1/1 45/26 -1/1 0/1 26/15 -1/1 0/1 7/4 -1/2 0/1 30/17 1/3 1/2 53/30 0/1 1/2 76/43 0/1 1/1 23/13 0/1 1/2 1/1 39/22 1/2 1/1 16/9 1/1 25/14 0/1 1/1 34/19 2/3 1/1 77/43 1/1 43/24 1/1 4/3 9/5 1/1 1/0 11/6 2/1 3/1 13/7 1/0 15/8 -4/1 -3/1 2/1 0/1 1/0 15/7 -2/1 -1/1 13/6 -1/1 1/0 11/5 -2/1 0/1 20/9 0/1 1/0 29/13 -1/1 1/0 38/17 1/0 9/4 -1/1 0/1 7/3 1/0 19/8 -3/1 -2/1 31/13 -2/1 -1/1 1/0 43/18 -1/1 1/0 141/59 1/0 98/41 -3/1 1/0 55/23 -2/1 1/0 12/5 -3/1 -2/1 29/12 -2/1 -1/1 46/19 -1/1 17/7 -1/1 39/16 -1/1 22/9 -1/1 0/1 27/11 -1/1 1/0 32/13 1/0 5/2 -1/1 1/0 28/11 -1/1 0/1 23/9 0/1 41/16 -1/1 0/1 18/7 1/0 67/26 -2/1 -1/1 49/19 -1/1 0/1 1/0 31/12 0/1 1/0 44/17 -1/1 1/0 13/5 0/1 1/0 21/8 2/1 1/0 29/11 1/0 8/3 -2/1 1/0 43/16 -1/1 1/0 35/13 -2/1 0/1 62/23 1/0 89/33 -1/1 1/0 116/43 -1/1 0/1 27/10 0/1 1/0 46/17 -4/1 -3/1 65/24 -7/3 -2/1 19/7 -2/1 1/0 68/25 -7/3 -2/1 117/43 -2/1 49/18 -2/1 -5/3 30/11 -2/1 -1/1 41/15 -1/1 11/4 -1/1 25/9 -2/1 1/0 14/5 -1/1 1/0 3/1 -1/1 0/1 1/0 16/5 -1/1 1/0 61/19 -2/1 0/1 45/14 -1/1 1/0 29/9 -1/1 1/0 42/13 1/0 13/4 -2/1 -1/1 23/7 1/0 33/10 -2/1 1/0 10/3 -2/1 -1/1 37/11 -2/1 0/1 64/19 -2/1 1/0 155/46 -2/1 -1/1 401/119 -1/1 246/73 -1/1 0/1 91/27 -1/1 1/0 27/8 1/0 17/5 -2/1 -1/1 24/7 -4/3 -1/1 31/9 -1/1 7/2 -1/1 0/1 32/9 -1/1 0/1 25/7 0/1 43/12 1/0 18/5 0/1 1/1 11/3 -1/1 1/0 37/10 -1/1 1/0 63/17 -2/1 0/1 26/7 -1/1 1/0 41/11 -1/1 0/1 1/0 56/15 -3/1 -2/1 15/4 -1/1 1/0 34/9 0/1 1/0 19/5 1/0 23/6 -2/1 1/0 4/1 -1/1 17/4 -1/1 1/0 13/3 -2/1 0/1 22/5 -2/1 -1/1 53/12 1/0 31/7 -1/1 1/0 9/2 -2/1 1/0 32/7 -2/1 -1/1 55/12 -2/1 -5/3 23/5 -2/1 -3/2 -1/1 14/3 -6/5 -1/1 33/7 -1/1 19/4 -1/1 -6/7 5/1 -1/1 0/1 26/5 -1/1 0/1 21/4 -1/1 16/3 -1/1 1/0 43/8 0/1 1/0 27/5 -2/1 0/1 11/2 -2/1 -1/1 17/3 -1/1 23/4 -1/1 -4/5 6/1 -1/1 -1/2 25/4 -1/6 0/1 69/11 0/1 44/7 0/1 1/8 19/3 0/1 1/1 32/5 2/1 1/0 13/2 1/0 33/5 -1/1 1/0 20/3 -1/1 0/1 7/1 -1/1 15/2 -1/1 -2/3 23/3 -1/2 0/1 8/1 0/1 1/1 17/2 -1/1 1/0 9/1 -1/1 1/0 -1/1 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(0,-1,1,2) (-1/1,1/0) -> (-1/1,0/1) Parabolic Matrix(182,-17,257,-24) (0/1,1/9) -> (29/41,17/24) Hyperbolic Matrix(862,-99,1219,-140) (1/9,2/17) -> (41/58,29/41) Hyperbolic Matrix(1072,-127,287,-34) (2/17,1/8) -> (56/15,15/4) Hyperbolic Matrix(1343,-176,496,-65) (1/8,2/15) -> (46/17,65/24) Hyperbolic Matrix(36,-5,245,-34) (2/15,1/7) -> (1/7,3/20) Parabolic Matrix(1009,-152,312,-47) (3/20,2/13) -> (42/13,13/4) Hyperbolic Matrix(243,-38,518,-81) (2/13,3/19) -> (7/15,8/17) Hyperbolic Matrix(449,-72,792,-127) (3/19,1/6) -> (17/30,21/37) Hyperbolic Matrix(715,-124,444,-77) (1/6,3/17) -> (37/23,29/18) Hyperbolic Matrix(543,-98,338,-61) (3/17,2/11) -> (8/5,37/23) Hyperbolic Matrix(440,-81,641,-118) (2/11,5/27) -> (13/19,11/16) Hyperbolic Matrix(1721,-320,640,-119) (5/27,3/16) -> (43/16,35/13) Hyperbolic Matrix(606,-115,1075,-204) (3/16,4/21) -> (9/16,22/39) Hyperbolic Matrix(871,-168,1208,-233) (4/21,1/5) -> (31/43,44/61) Hyperbolic Matrix(165,-34,34,-7) (1/5,3/14) -> (19/4,5/1) Hyperbolic Matrix(560,-121,361,-78) (3/14,5/23) -> (17/11,14/9) Hyperbolic Matrix(263,-58,458,-101) (5/23,2/9) -> (4/7,19/33) Hyperbolic Matrix(359,-82,162,-37) (2/9,3/13) -> (11/5,20/9) Hyperbolic Matrix(356,-83,163,-38) (3/13,4/17) -> (13/6,11/5) Hyperbolic Matrix(486,-115,355,-84) (4/17,1/4) -> (26/19,11/8) Hyperbolic Matrix(413,-108,348,-91) (1/4,5/19) -> (13/11,19/16) Hyperbolic Matrix(822,-217,697,-184) (5/19,9/34) -> (20/17,13/11) Hyperbolic Matrix(758,-201,1961,-520) (9/34,4/15) -> (17/44,12/31) Hyperbolic Matrix(1072,-287,127,-34) (4/15,15/56) -> (8/1,17/2) Hyperbolic Matrix(1452,-389,1829,-490) (15/56,11/41) -> (23/29,4/5) Hyperbolic Matrix(1262,-339,819,-220) (11/41,7/26) -> (20/13,17/11) Hyperbolic Matrix(693,-188,188,-51) (7/26,3/11) -> (11/3,37/10) Hyperbolic Matrix(156,-43,283,-78) (3/11,5/18) -> (6/11,5/9) Hyperbolic Matrix(1439,-402,562,-157) (5/18,7/25) -> (23/9,41/16) Hyperbolic Matrix(1436,-403,563,-158) (7/25,9/32) -> (28/11,23/9) Hyperbolic Matrix(1622,-457,937,-264) (9/32,2/7) -> (45/26,26/15) Hyperbolic Matrix(527,-154,154,-45) (2/7,5/17) -> (17/5,24/7) Hyperbolic Matrix(277,-82,402,-119) (5/17,3/10) -> (11/16,9/13) Hyperbolic Matrix(368,-111,431,-130) (3/10,10/33) -> (17/20,6/7) Hyperbolic Matrix(1044,-317,797,-242) (10/33,7/23) -> (17/13,21/16) Hyperbolic Matrix(520,-159,399,-122) (7/23,4/13) -> (13/10,17/13) Hyperbolic Matrix(31,-10,90,-29) (4/13,1/3) -> (1/3,6/17) Parabolic Matrix(1181,-418,178,-63) (6/17,11/31) -> (33/5,20/3) Hyperbolic Matrix(1801,-640,560,-199) (11/31,5/14) -> (45/14,29/9) Hyperbolic Matrix(619,-222,382,-137) (5/14,4/11) -> (34/21,13/8) Hyperbolic Matrix(1699,-622,702,-257) (4/11,11/30) -> (29/12,46/19) Hyperbolic Matrix(1111,-408,1288,-473) (11/30,18/49) -> (6/7,19/22) Hyperbolic Matrix(2223,-818,818,-301) (18/49,7/19) -> (19/7,68/25) Hyperbolic Matrix(1343,-496,176,-65) (7/19,17/46) -> (15/2,23/3) Hyperbolic Matrix(760,-281,1401,-518) (17/46,10/27) -> (13/24,6/11) Hyperbolic Matrix(3239,-1202,962,-357) (10/27,13/35) -> (37/11,64/19) Hyperbolic Matrix(1721,-640,320,-119) (13/35,3/8) -> (43/8,27/5) Hyperbolic Matrix(377,-144,144,-55) (3/8,5/13) -> (13/5,21/8) Hyperbolic Matrix(952,-367,607,-234) (5/13,17/44) -> (36/23,11/7) Hyperbolic Matrix(1037,-402,1442,-559) (12/31,7/18) -> (23/32,18/25) Hyperbolic Matrix(1439,-562,402,-157) (7/18,9/23) -> (25/7,43/12) Hyperbolic Matrix(1436,-563,403,-158) (9/23,11/28) -> (32/9,25/7) Hyperbolic Matrix(1062,-419,659,-260) (11/28,2/5) -> (29/18,50/31) Hyperbolic Matrix(655,-266,426,-173) (2/5,11/27) -> (23/15,20/13) Hyperbolic Matrix(796,-325,965,-394) (11/27,9/22) -> (14/17,19/23) Hyperbolic Matrix(1475,-604,2044,-837) (9/22,16/39) -> (44/61,13/18) Hyperbolic Matrix(1786,-733,653,-268) (16/39,7/17) -> (41/15,11/4) Hyperbolic Matrix(1699,-702,622,-257) (7/17,12/29) -> (30/11,41/15) Hyperbolic Matrix(566,-235,395,-164) (12/29,5/12) -> (10/7,23/16) Hyperbolic Matrix(85,-36,196,-83) (5/12,3/7) -> (3/7,7/16) Parabolic Matrix(529,-232,472,-207) (7/16,18/41) -> (10/9,9/8) Hyperbolic Matrix(1918,-843,1083,-476) (18/41,11/25) -> (23/13,39/22) Hyperbolic Matrix(278,-123,443,-196) (11/25,4/9) -> (5/8,17/27) Hyperbolic Matrix(359,-162,82,-37) (4/9,5/11) -> (13/3,22/5) Hyperbolic Matrix(356,-163,83,-38) (5/11,6/13) -> (17/4,13/3) Hyperbolic Matrix(492,-229,709,-330) (6/13,7/15) -> (9/13,25/36) Hyperbolic Matrix(354,-167,407,-192) (8/17,1/2) -> (20/23,7/8) Hyperbolic Matrix(183,-98,338,-181) (1/2,7/13) -> (7/13,13/24) Parabolic Matrix(693,-386,386,-215) (5/9,19/34) -> (43/24,9/5) Hyperbolic Matrix(1128,-631,1591,-890) (19/34,14/25) -> (17/24,22/31) Hyperbolic Matrix(718,-403,563,-316) (14/25,9/16) -> (14/11,23/18) Hyperbolic Matrix(2198,-1241,921,-520) (22/39,13/23) -> (31/13,43/18) Hyperbolic Matrix(639,-362,842,-477) (13/23,17/30) -> (3/4,19/25) Hyperbolic Matrix(1761,-1000,280,-159) (21/37,4/7) -> (44/7,19/3) Hyperbolic Matrix(965,-556,1116,-643) (19/33,15/26) -> (19/22,13/15) Hyperbolic Matrix(1647,-952,1192,-689) (15/26,11/19) -> (29/21,47/34) Hyperbolic Matrix(557,-324,404,-235) (11/19,7/12) -> (11/8,29/21) Hyperbolic Matrix(76,-45,125,-74) (7/12,3/5) -> (3/5,8/13) Parabolic Matrix(619,-382,222,-137) (8/13,13/21) -> (25/9,14/5) Hyperbolic Matrix(2841,-1760,2000,-1239) (13/21,31/50) -> (71/50,27/19) Hyperbolic Matrix(1062,-659,419,-260) (31/50,18/29) -> (5/2,28/11) Hyperbolic Matrix(715,-444,124,-77) (18/29,5/8) -> (23/4,6/1) Hyperbolic Matrix(3731,-2350,2110,-1329) (17/27,46/73) -> (76/43,23/13) Hyperbolic Matrix(6478,-4083,4563,-2876) (46/73,29/46) -> (44/31,71/50) Hyperbolic Matrix(2380,-1501,1741,-1098) (29/46,12/19) -> (41/30,26/19) Hyperbolic Matrix(539,-342,342,-217) (12/19,7/11) -> (11/7,30/19) Hyperbolic Matrix(952,-607,367,-234) (7/11,23/36) -> (44/17,13/5) Hyperbolic Matrix(4320,-2761,3001,-1918) (23/36,39/61) -> (59/41,36/25) Hyperbolic Matrix(2878,-1841,2001,-1280) (39/61,16/25) -> (23/16,59/41) Hyperbolic Matrix(488,-313,633,-406) (16/25,9/14) -> (10/13,17/22) Hyperbolic Matrix(560,-361,121,-78) (9/14,11/17) -> (23/5,14/3) Hyperbolic Matrix(1262,-819,339,-220) (11/17,13/20) -> (26/7,41/11) Hyperbolic Matrix(655,-426,266,-173) (13/20,2/3) -> (32/13,5/2) Hyperbolic Matrix(1283,-876,476,-325) (2/3,13/19) -> (35/13,62/23) Hyperbolic Matrix(4320,-3001,2761,-1918) (25/36,41/59) -> (61/39,36/23) Hyperbolic Matrix(2878,-2001,1841,-1280) (41/59,16/23) -> (25/16,61/39) Hyperbolic Matrix(566,-395,235,-164) (16/23,7/10) -> (12/5,29/12) Hyperbolic Matrix(1269,-892,892,-627) (7/10,19/27) -> (27/19,37/26) Hyperbolic Matrix(2841,-2000,1760,-1239) (19/27,31/44) -> (71/44,21/13) Hyperbolic Matrix(1080,-761,281,-198) (31/44,12/17) -> (23/6,4/1) Hyperbolic Matrix(2766,-1955,515,-364) (12/17,41/58) -> (16/3,43/8) Hyperbolic Matrix(351,-250,490,-349) (22/31,5/7) -> (5/7,28/39) Parabolic Matrix(1770,-1271,791,-568) (28/39,23/32) -> (38/17,9/4) Hyperbolic Matrix(3999,-2882,2882,-2077) (18/25,31/43) -> (43/31,68/49) Hyperbolic Matrix(557,-404,324,-235) (13/18,8/11) -> (12/7,31/18) Hyperbolic Matrix(486,-355,115,-84) (8/11,19/26) -> (4/1,17/4) Hyperbolic Matrix(2380,-1741,1501,-1098) (19/26,30/41) -> (19/12,46/29) Hyperbolic Matrix(1063,-778,138,-101) (30/41,11/15) -> (23/3,8/1) Hyperbolic Matrix(345,-254,254,-187) (11/15,3/4) -> (19/14,15/11) Hyperbolic Matrix(3067,-2332,1932,-1469) (19/25,16/21) -> (100/63,27/17) Hyperbolic Matrix(1044,-797,317,-242) (16/21,13/17) -> (23/7,33/10) Hyperbolic Matrix(520,-399,159,-122) (13/17,10/13) -> (13/4,23/7) Hyperbolic Matrix(316,-245,405,-314) (17/22,7/9) -> (7/9,18/23) Parabolic Matrix(718,-563,403,-316) (18/23,11/14) -> (16/9,25/14) Hyperbolic Matrix(940,-741,581,-458) (11/14,15/19) -> (21/13,34/21) Hyperbolic Matrix(1273,-1006,1006,-795) (15/19,19/24) -> (43/34,19/15) Hyperbolic Matrix(892,-707,1027,-814) (19/24,23/29) -> (13/15,20/23) Hyperbolic Matrix(199,-162,242,-197) (4/5,9/11) -> (9/11,14/17) Parabolic Matrix(634,-525,285,-236) (19/23,5/6) -> (20/9,29/13) Hyperbolic Matrix(413,-348,108,-91) (5/6,11/13) -> (19/5,23/6) Hyperbolic Matrix(822,-697,217,-184) (11/13,17/20) -> (34/9,19/5) Hyperbolic Matrix(490,-431,191,-168) (7/8,8/9) -> (41/16,18/7) Hyperbolic Matrix(507,-452,212,-189) (8/9,1/1) -> (55/23,12/5) Hyperbolic Matrix(593,-648,248,-271) (1/1,10/9) -> (98/41,55/23) Hyperbolic Matrix(470,-531,131,-148) (9/8,8/7) -> (43/12,18/5) Hyperbolic Matrix(484,-555,75,-86) (8/7,23/20) -> (32/5,13/2) Hyperbolic Matrix(892,-1027,707,-814) (23/20,15/13) -> (29/23,24/19) Hyperbolic Matrix(853,-986,186,-215) (15/13,7/6) -> (55/12,23/5) Hyperbolic Matrix(368,-431,111,-130) (7/6,20/17) -> (33/10,10/3) Hyperbolic Matrix(492,-587,347,-414) (19/16,6/5) -> (17/12,44/31) Hyperbolic Matrix(199,-242,162,-197) (6/5,11/9) -> (11/9,16/13) Parabolic Matrix(556,-685,125,-154) (16/13,21/17) -> (31/7,9/2) Hyperbolic Matrix(482,-597,197,-244) (21/17,5/4) -> (22/9,27/11) Hyperbolic Matrix(1452,-1829,389,-490) (5/4,29/23) -> (41/11,56/15) Hyperbolic Matrix(3552,-4489,2809,-3550) (24/19,67/53) -> (67/53,43/34) Parabolic Matrix(440,-559,159,-202) (19/15,14/11) -> (11/4,25/9) Hyperbolic Matrix(316,-405,245,-314) (23/18,9/7) -> (9/7,22/17) Parabolic Matrix(488,-633,313,-406) (22/17,13/10) -> (14/9,25/16) Hyperbolic Matrix(639,-842,362,-477) (21/16,4/3) -> (30/17,53/30) Hyperbolic Matrix(392,-529,289,-390) (4/3,23/17) -> (23/17,19/14) Parabolic Matrix(1285,-1754,474,-647) (15/11,41/30) -> (65/24,19/7) Hyperbolic Matrix(654,-905,185,-256) (47/34,18/13) -> (7/2,32/9) Hyperbolic Matrix(871,-1208,168,-233) (18/13,43/31) -> (5/1,26/5) Hyperbolic Matrix(6232,-8649,4489,-6230) (68/49,93/67) -> (93/67,25/18) Parabolic Matrix(1037,-1442,402,-559) (25/18,7/5) -> (49/19,31/12) Hyperbolic Matrix(1413,-1988,548,-771) (7/5,31/22) -> (67/26,49/19) Hyperbolic Matrix(1128,-1591,631,-890) (31/22,24/17) -> (25/14,34/19) Hyperbolic Matrix(182,-257,17,-24) (24/17,41/29) -> (9/1,1/0) Hyperbolic Matrix(862,-1219,99,-140) (41/29,58/41) -> (17/2,9/1) Hyperbolic Matrix(844,-1195,315,-446) (58/41,17/12) -> (8/3,43/16) Hyperbolic Matrix(1552,-2209,1089,-1550) (37/26,47/33) -> (47/33,10/7) Parabolic Matrix(492,-709,229,-330) (36/25,13/9) -> (15/7,13/6) Hyperbolic Matrix(277,-402,82,-119) (13/9,3/2) -> (27/8,17/5) Hyperbolic Matrix(587,-894,174,-265) (3/2,23/15) -> (91/27,27/8) Hyperbolic Matrix(1520,-2401,961,-1518) (30/19,49/31) -> (49/31,19/12) Parabolic Matrix(4716,-7483,2923,-4638) (46/29,73/46) -> (50/31,71/44) Hyperbolic Matrix(12709,-20172,3772,-5987) (73/46,100/63) -> (64/19,155/46) Hyperbolic Matrix(478,-761,201,-320) (27/17,8/5) -> (19/8,31/13) Hyperbolic Matrix(76,-125,45,-74) (13/8,5/3) -> (5/3,12/7) Parabolic Matrix(837,-1444,484,-835) (31/18,19/11) -> (19/11,45/26) Parabolic Matrix(263,-458,58,-101) (26/15,7/4) -> (9/2,32/7) Hyperbolic Matrix(449,-792,72,-127) (7/4,30/17) -> (6/1,25/4) Hyperbolic Matrix(4641,-8200,1720,-3039) (53/30,76/43) -> (116/43,27/10) Hyperbolic Matrix(606,-1075,115,-204) (39/22,16/9) -> (21/4,16/3) Hyperbolic Matrix(3312,-5929,1849,-3310) (34/19,77/43) -> (77/43,43/24) Parabolic Matrix(156,-283,43,-78) (9/5,11/6) -> (18/5,11/3) Hyperbolic Matrix(183,-338,98,-181) (11/6,13/7) -> (13/7,15/8) Parabolic Matrix(262,-497,97,-184) (15/8,2/1) -> (27/10,46/17) Hyperbolic Matrix(243,-518,38,-81) (2/1,15/7) -> (19/3,32/5) Hyperbolic Matrix(730,-1631,111,-248) (29/13,38/17) -> (13/2,33/5) Hyperbolic Matrix(85,-196,36,-83) (9/4,7/3) -> (7/3,19/8) Parabolic Matrix(8320,-19881,3481,-8318) (43/18,141/59) -> (141/59,98/41) Parabolic Matrix(596,-1445,245,-594) (46/19,17/7) -> (17/7,39/16) Parabolic Matrix(605,-1476,116,-283) (39/16,22/9) -> (26/5,21/4) Hyperbolic Matrix(1839,-4522,682,-1677) (27/11,32/13) -> (62/23,89/33) Hyperbolic Matrix(1532,-3947,347,-894) (18/7,67/26) -> (22/5,53/12) Hyperbolic Matrix(758,-1961,201,-520) (31/12,44/17) -> (15/4,34/9) Hyperbolic Matrix(320,-841,121,-318) (21/8,29/11) -> (29/11,8/3) Parabolic Matrix(12031,-32450,3570,-9629) (89/33,116/43) -> (246/73,91/27) Hyperbolic Matrix(5032,-13689,1849,-5030) (68/25,117/43) -> (117/43,49/18) Parabolic Matrix(1181,-3218,258,-703) (49/18,30/11) -> (32/7,55/12) Hyperbolic Matrix(31,-90,10,-29) (14/5,3/1) -> (3/1,16/5) Parabolic Matrix(1160,-3721,361,-1158) (16/5,61/19) -> (61/19,45/14) Parabolic Matrix(880,-2839,199,-642) (29/9,42/13) -> (53/12,31/7) Hyperbolic Matrix(202,-677,37,-124) (10/3,37/11) -> (27/5,11/2) Hyperbolic Matrix(47720,-160801,14161,-47718) (155/46,401/119) -> (401/119,246/73) Parabolic Matrix(280,-961,81,-278) (24/7,31/9) -> (31/9,7/2) Parabolic Matrix(1072,-3969,289,-1070) (37/10,63/17) -> (63/17,26/7) Parabolic Matrix(232,-1089,49,-230) (14/3,33/7) -> (33/7,19/4) Parabolic Matrix(103,-578,18,-101) (11/2,17/3) -> (17/3,23/4) Parabolic Matrix(760,-4761,121,-758) (25/4,69/11) -> (69/11,44/7) Parabolic Matrix(36,-245,5,-34) (20/3,7/1) -> (7/1,15/2) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(0,-1,1,2) -> Matrix(1,0,2,1) Matrix(182,-17,257,-24) -> Matrix(1,0,0,1) Matrix(862,-99,1219,-140) -> Matrix(1,-2,2,-3) Matrix(1072,-127,287,-34) -> Matrix(1,-2,0,1) Matrix(1343,-176,496,-65) -> Matrix(5,-2,-2,1) Matrix(36,-5,245,-34) -> Matrix(3,-2,2,-1) Matrix(1009,-152,312,-47) -> Matrix(1,-2,0,1) Matrix(243,-38,518,-81) -> Matrix(1,2,0,1) Matrix(449,-72,792,-127) -> Matrix(1,0,-4,1) Matrix(715,-124,444,-77) -> Matrix(5,-4,4,-3) Matrix(543,-98,338,-61) -> Matrix(1,-2,2,-3) Matrix(440,-81,641,-118) -> Matrix(1,-2,0,1) Matrix(1721,-320,640,-119) -> Matrix(1,-2,0,1) Matrix(606,-115,1075,-204) -> Matrix(1,0,-2,1) Matrix(871,-168,1208,-233) -> Matrix(1,0,0,1) Matrix(165,-34,34,-7) -> Matrix(1,0,-2,1) Matrix(560,-121,361,-78) -> Matrix(3,-4,-2,3) Matrix(263,-58,458,-101) -> Matrix(1,-2,2,-3) Matrix(359,-82,162,-37) -> Matrix(1,-2,0,1) Matrix(356,-83,163,-38) -> Matrix(1,-2,0,1) Matrix(486,-115,355,-84) -> Matrix(1,-2,0,1) Matrix(413,-108,348,-91) -> Matrix(1,-2,0,1) Matrix(822,-217,697,-184) -> Matrix(1,0,0,1) Matrix(758,-201,1961,-520) -> Matrix(1,0,0,1) Matrix(1072,-287,127,-34) -> Matrix(1,-2,0,1) Matrix(1452,-389,1829,-490) -> Matrix(1,-2,0,1) Matrix(1262,-339,819,-220) -> Matrix(1,-2,0,1) Matrix(693,-188,188,-51) -> Matrix(1,-2,0,1) Matrix(156,-43,283,-78) -> Matrix(1,-2,0,1) Matrix(1439,-402,562,-157) -> Matrix(1,0,0,1) Matrix(1436,-403,563,-158) -> Matrix(1,0,-2,1) Matrix(1622,-457,937,-264) -> Matrix(1,0,-2,1) Matrix(527,-154,154,-45) -> Matrix(3,-4,-2,3) Matrix(277,-82,402,-119) -> Matrix(1,-2,0,1) Matrix(368,-111,431,-130) -> Matrix(1,-2,0,1) Matrix(1044,-317,797,-242) -> Matrix(1,-2,0,1) Matrix(520,-159,399,-122) -> Matrix(1,0,0,1) Matrix(31,-10,90,-29) -> Matrix(1,0,0,1) Matrix(1181,-418,178,-63) -> Matrix(1,-2,0,1) Matrix(1801,-640,560,-199) -> Matrix(1,-2,0,1) Matrix(619,-222,382,-137) -> Matrix(1,0,0,1) Matrix(1699,-622,702,-257) -> Matrix(3,-4,-2,3) Matrix(1111,-408,1288,-473) -> Matrix(1,-2,2,-3) Matrix(2223,-818,818,-301) -> Matrix(1,-4,0,1) Matrix(1343,-496,176,-65) -> Matrix(1,-2,-2,5) Matrix(760,-281,1401,-518) -> Matrix(1,-6,0,1) Matrix(3239,-1202,962,-357) -> Matrix(1,-2,0,1) Matrix(1721,-640,320,-119) -> Matrix(1,-2,0,1) Matrix(377,-144,144,-55) -> Matrix(1,0,0,1) Matrix(952,-367,607,-234) -> Matrix(1,0,-2,1) Matrix(1037,-402,1442,-559) -> Matrix(1,0,0,1) Matrix(1439,-562,402,-157) -> Matrix(1,0,0,1) Matrix(1436,-563,403,-158) -> Matrix(1,0,-2,1) Matrix(1062,-419,659,-260) -> Matrix(3,-2,2,-1) Matrix(655,-266,426,-173) -> Matrix(1,-2,0,1) Matrix(796,-325,965,-394) -> Matrix(1,-2,0,1) Matrix(1475,-604,2044,-837) -> Matrix(1,0,0,1) Matrix(1786,-733,653,-268) -> Matrix(1,-2,0,1) Matrix(1699,-702,622,-257) -> Matrix(3,-4,-2,3) Matrix(566,-235,395,-164) -> Matrix(1,-2,2,-3) Matrix(85,-36,196,-83) -> Matrix(1,-2,0,1) Matrix(529,-232,472,-207) -> Matrix(1,0,0,1) Matrix(1918,-843,1083,-476) -> Matrix(1,0,2,1) Matrix(278,-123,443,-196) -> Matrix(1,0,-2,1) Matrix(359,-162,82,-37) -> Matrix(1,-2,0,1) Matrix(356,-163,83,-38) -> Matrix(1,-2,0,1) Matrix(492,-229,709,-330) -> Matrix(1,-2,0,1) Matrix(354,-167,407,-192) -> Matrix(1,-2,0,1) Matrix(183,-98,338,-181) -> Matrix(1,-6,0,1) Matrix(693,-386,386,-215) -> Matrix(1,2,0,1) Matrix(1128,-631,1591,-890) -> Matrix(1,0,2,1) Matrix(718,-403,563,-316) -> Matrix(1,0,0,1) Matrix(2198,-1241,921,-520) -> Matrix(3,2,-2,-1) Matrix(639,-362,842,-477) -> Matrix(1,0,2,1) Matrix(1761,-1000,280,-159) -> Matrix(1,0,6,1) Matrix(965,-556,1116,-643) -> Matrix(1,0,0,1) Matrix(1647,-952,1192,-689) -> Matrix(1,0,-2,1) Matrix(557,-324,404,-235) -> Matrix(1,-2,0,1) Matrix(76,-45,125,-74) -> Matrix(1,-2,0,1) Matrix(619,-382,222,-137) -> Matrix(1,0,0,1) Matrix(2841,-1760,2000,-1239) -> Matrix(1,2,-4,-7) Matrix(1062,-659,419,-260) -> Matrix(1,2,-2,-3) Matrix(715,-444,124,-77) -> Matrix(3,4,-4,-5) Matrix(3731,-2350,2110,-1329) -> Matrix(1,0,4,1) Matrix(6478,-4083,4563,-2876) -> Matrix(1,0,0,1) Matrix(2380,-1501,1741,-1098) -> Matrix(7,2,-4,-1) Matrix(539,-342,342,-217) -> Matrix(1,0,-4,1) Matrix(952,-607,367,-234) -> Matrix(1,0,-2,1) Matrix(4320,-2761,3001,-1918) -> Matrix(3,-2,2,-1) Matrix(2878,-1841,2001,-1280) -> Matrix(1,0,0,1) Matrix(488,-313,633,-406) -> Matrix(1,0,-2,1) Matrix(560,-361,121,-78) -> Matrix(3,-4,-2,3) Matrix(1262,-819,339,-220) -> Matrix(1,-2,0,1) Matrix(655,-426,266,-173) -> Matrix(1,-2,0,1) Matrix(1283,-876,476,-325) -> Matrix(1,0,0,1) Matrix(4320,-3001,2761,-1918) -> Matrix(1,2,-2,-3) Matrix(2878,-2001,1841,-1280) -> Matrix(1,0,0,1) Matrix(566,-395,235,-164) -> Matrix(3,2,-2,-1) Matrix(1269,-892,892,-627) -> Matrix(1,0,-8,1) Matrix(2841,-2000,1760,-1239) -> Matrix(7,-2,4,-1) Matrix(1080,-761,281,-198) -> Matrix(5,-2,-2,1) Matrix(2766,-1955,515,-364) -> Matrix(1,0,-2,1) Matrix(351,-250,490,-349) -> Matrix(1,0,0,1) Matrix(1770,-1271,791,-568) -> Matrix(1,-2,0,1) Matrix(3999,-2882,2882,-2077) -> Matrix(1,0,-2,1) Matrix(557,-404,324,-235) -> Matrix(1,-2,0,1) Matrix(486,-355,115,-84) -> Matrix(1,-2,0,1) Matrix(2380,-1741,1501,-1098) -> Matrix(1,-2,4,-7) Matrix(1063,-778,138,-101) -> Matrix(1,-2,-2,5) Matrix(345,-254,254,-187) -> Matrix(1,-4,0,1) Matrix(3067,-2332,1932,-1469) -> Matrix(1,0,2,1) Matrix(1044,-797,317,-242) -> Matrix(1,-2,0,1) Matrix(520,-399,159,-122) -> Matrix(1,0,0,1) Matrix(316,-245,405,-314) -> Matrix(1,0,2,1) Matrix(718,-563,403,-316) -> Matrix(1,0,0,1) Matrix(940,-741,581,-458) -> Matrix(1,0,0,1) Matrix(1273,-1006,1006,-795) -> Matrix(1,-4,0,1) Matrix(892,-707,1027,-814) -> Matrix(1,2,0,1) Matrix(199,-162,242,-197) -> Matrix(1,-2,0,1) Matrix(634,-525,285,-236) -> Matrix(1,0,0,1) Matrix(413,-348,108,-91) -> Matrix(1,-2,0,1) Matrix(822,-697,217,-184) -> Matrix(1,0,0,1) Matrix(490,-431,191,-168) -> Matrix(1,0,0,1) Matrix(507,-452,212,-189) -> Matrix(1,-2,0,1) Matrix(593,-648,248,-271) -> Matrix(1,-2,0,1) Matrix(470,-531,131,-148) -> Matrix(1,0,0,1) Matrix(484,-555,75,-86) -> Matrix(1,0,0,1) Matrix(892,-1027,707,-814) -> Matrix(1,2,0,1) Matrix(853,-986,186,-215) -> Matrix(3,2,-2,-1) Matrix(368,-431,111,-130) -> Matrix(1,-2,0,1) Matrix(492,-587,347,-414) -> Matrix(1,0,-2,1) Matrix(199,-242,162,-197) -> Matrix(1,-2,0,1) Matrix(556,-685,125,-154) -> Matrix(1,0,0,1) Matrix(482,-597,197,-244) -> Matrix(1,0,0,1) Matrix(1452,-1829,389,-490) -> Matrix(1,-2,0,1) Matrix(3552,-4489,2809,-3550) -> Matrix(1,-12,0,1) Matrix(440,-559,159,-202) -> Matrix(1,0,0,1) Matrix(316,-405,245,-314) -> Matrix(1,0,2,1) Matrix(488,-633,313,-406) -> Matrix(1,0,-2,1) Matrix(639,-842,362,-477) -> Matrix(1,0,2,1) Matrix(392,-529,289,-390) -> Matrix(1,-6,0,1) Matrix(1285,-1754,474,-647) -> Matrix(1,0,0,1) Matrix(654,-905,185,-256) -> Matrix(1,0,0,1) Matrix(871,-1208,168,-233) -> Matrix(1,0,0,1) Matrix(6232,-8649,4489,-6230) -> Matrix(1,0,2,1) Matrix(1037,-1442,402,-559) -> Matrix(1,0,0,1) Matrix(1413,-1988,548,-771) -> Matrix(1,0,0,1) Matrix(1128,-1591,631,-890) -> Matrix(1,0,2,1) Matrix(182,-257,17,-24) -> Matrix(1,0,0,1) Matrix(862,-1219,99,-140) -> Matrix(3,2,-2,-1) Matrix(844,-1195,315,-446) -> Matrix(3,2,-2,-1) Matrix(1552,-2209,1089,-1550) -> Matrix(1,0,14,1) Matrix(492,-709,229,-330) -> Matrix(1,-2,0,1) Matrix(277,-402,82,-119) -> Matrix(1,-2,0,1) Matrix(587,-894,174,-265) -> Matrix(1,0,0,1) Matrix(1520,-2401,961,-1518) -> Matrix(1,0,18,1) Matrix(4716,-7483,2923,-4638) -> Matrix(7,-2,4,-1) Matrix(12709,-20172,3772,-5987) -> Matrix(5,-2,-2,1) Matrix(478,-761,201,-320) -> Matrix(5,-2,-2,1) Matrix(76,-125,45,-74) -> Matrix(1,-2,0,1) Matrix(837,-1444,484,-835) -> Matrix(1,2,-2,-3) Matrix(263,-458,58,-101) -> Matrix(3,2,-2,-1) Matrix(449,-792,72,-127) -> Matrix(1,0,-4,1) Matrix(4641,-8200,1720,-3039) -> Matrix(1,0,-2,1) Matrix(606,-1075,115,-204) -> Matrix(1,0,-2,1) Matrix(3312,-5929,1849,-3310) -> Matrix(7,-6,6,-5) Matrix(156,-283,43,-78) -> Matrix(1,-2,0,1) Matrix(183,-338,98,-181) -> Matrix(1,-6,0,1) Matrix(262,-497,97,-184) -> Matrix(1,0,0,1) Matrix(243,-518,38,-81) -> Matrix(1,2,0,1) Matrix(730,-1631,111,-248) -> Matrix(1,0,0,1) Matrix(85,-196,36,-83) -> Matrix(1,-2,0,1) Matrix(8320,-19881,3481,-8318) -> Matrix(1,-2,0,1) Matrix(596,-1445,245,-594) -> Matrix(1,2,-2,-3) Matrix(605,-1476,116,-283) -> Matrix(1,0,0,1) Matrix(1839,-4522,682,-1677) -> Matrix(1,0,0,1) Matrix(1532,-3947,347,-894) -> Matrix(1,0,0,1) Matrix(758,-1961,201,-520) -> Matrix(1,0,0,1) Matrix(320,-841,121,-318) -> Matrix(1,-4,0,1) Matrix(12031,-32450,3570,-9629) -> Matrix(1,0,0,1) Matrix(5032,-13689,1849,-5030) -> Matrix(11,24,-6,-13) Matrix(1181,-3218,258,-703) -> Matrix(1,0,0,1) Matrix(31,-90,10,-29) -> Matrix(1,0,0,1) Matrix(1160,-3721,361,-1158) -> Matrix(1,0,0,1) Matrix(880,-2839,199,-642) -> Matrix(1,0,0,1) Matrix(202,-677,37,-124) -> Matrix(1,0,0,1) Matrix(47720,-160801,14161,-47718) -> Matrix(1,2,-2,-3) Matrix(280,-961,81,-278) -> Matrix(3,4,-4,-5) Matrix(1072,-3969,289,-1070) -> Matrix(1,0,0,1) Matrix(232,-1089,49,-230) -> Matrix(11,12,-12,-13) Matrix(103,-578,18,-101) -> Matrix(5,6,-6,-7) Matrix(760,-4761,121,-758) -> Matrix(1,0,14,1) Matrix(36,-245,5,-34) -> Matrix(1,2,-2,-3) 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): 32 Imminent integer overflow caused the modular group computation to abort.