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: 120 Genus: 133 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -8/1 -7/1 -20/3 -6/1 -16/3 -21/4 -26/5 -24/5 -14/3 -21/5 -4/1 -18/5 -7/2 -24/7 -42/13 -20/7 -14/5 -8/3 -21/8 -12/5 -7/3 -16/7 -2/1 -7/4 -12/7 -21/13 -14/9 -42/29 -7/5 -4/3 -21/16 -14/11 -21/17 -7/6 0/1 1/1 7/6 28/23 14/11 21/16 4/3 7/5 3/2 14/9 84/53 21/13 28/17 12/7 7/4 84/47 28/15 2/1 15/7 28/13 280/123 16/7 7/3 196/83 112/47 12/5 56/23 5/2 28/11 70/27 280/107 21/8 8/3 14/5 20/7 3/1 35/11 42/13 56/17 84/25 24/7 7/2 196/55 25/7 18/5 112/31 56/15 4/1 112/27 21/5 224/53 56/13 13/3 22/5 84/19 9/2 168/37 14/3 19/4 24/5 5/1 26/5 21/4 16/3 27/5 11/2 28/5 17/3 23/4 6/1 19/3 13/2 20/3 27/4 7/1 22/3 15/2 23/3 31/4 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 -11/1 2/5 3/7 -10/1 1/2 -9/1 1/2 1/1 -17/2 1/1 -8/1 0/1 -15/2 1/5 -7/1 1/3 -20/3 1/3 -13/2 5/13 -19/3 2/5 3/7 -6/1 1/2 -23/4 5/11 -17/3 7/15 1/2 -28/5 1/2 -11/2 3/5 -16/3 0/1 -21/4 1/2 -26/5 1/2 -5/1 1/2 1/1 -24/5 0/1 -19/4 1/1 -14/3 0/1 -37/8 1/3 -23/5 0/1 1/2 -55/12 1/3 -32/7 0/1 -9/2 1/3 -22/5 3/8 -13/3 4/9 1/2 -30/7 1/2 -77/18 1/2 -47/11 1/2 1/1 -17/4 1/1 -38/9 1/2 -21/5 0/1 -25/6 1/3 -4/1 1/2 -31/8 1/1 -58/15 7/8 -27/7 1/1 5/4 -23/6 -1/1 -19/5 0/1 1/3 -34/9 1/2 -49/13 1/3 -15/4 3/7 -26/7 1/2 -11/3 2/3 1/1 -29/8 1/1 -47/13 5/6 1/1 -18/5 1/0 -25/7 0/1 1/1 -7/2 0/1 -31/9 0/1 1/3 -86/25 1/2 -55/16 1/1 -24/7 0/1 -41/12 1/1 -17/5 1/4 1/3 -27/8 1/3 -10/3 1/2 -23/7 1/2 2/3 -36/11 1/1 -13/4 1/3 -42/13 0/1 -29/9 1/3 1/2 -16/5 0/1 -19/6 1/3 -3/1 0/1 1/2 -20/7 1/2 -37/13 0/1 1/3 -17/6 1/3 -14/5 1/2 -39/14 1/1 -64/23 2/3 -25/9 0/1 1/1 -11/4 1/3 -30/11 1/2 -19/7 2/3 1/1 -84/31 1/1 -65/24 1/1 -46/17 1/2 -27/10 1/1 -8/3 0/1 -29/11 3/4 1/1 -79/30 3/1 -50/19 1/0 -71/27 0/1 1/2 -21/8 0/1 -97/37 0/1 1/6 -76/29 1/3 -55/21 0/1 1/3 -89/34 1/3 -123/47 -1/1 0/1 -34/13 1/4 -13/5 1/2 2/3 -31/12 1/1 -18/7 1/0 -59/23 0/1 1/0 -41/16 1/1 -64/25 0/1 -23/9 -1/2 0/1 -28/11 0/1 -5/2 1/3 -27/11 1/4 1/3 -49/20 0/1 -22/9 1/4 -17/7 1/3 1/2 -29/12 1/3 -70/29 1/3 -41/17 4/11 3/8 -53/22 1/3 -65/27 3/7 1/2 -77/32 1/2 -12/5 1/3 -31/13 1/3 2/5 -50/21 1/2 -19/8 3/7 -26/11 1/2 -7/3 1/2 -30/13 1/2 -83/36 3/5 -53/23 1/2 2/3 -23/10 3/5 -39/17 1/2 5/9 -55/24 3/5 -16/7 2/3 -57/25 2/3 1/1 -41/18 1/1 -107/47 11/15 3/4 -66/29 3/4 -25/11 4/5 1/1 -84/37 1/1 -59/26 1/1 -34/15 1/0 -9/4 1/1 -29/13 1/1 3/2 -20/9 1/0 -11/5 -1/1 0/1 -46/21 1/0 -35/16 0/1 -59/27 0/1 1/0 -24/11 0/1 -13/6 -1/3 -28/13 0/1 -15/7 0/1 1/8 -2/1 1/2 -17/9 -1/1 1/0 -15/8 -1/3 -28/15 0/1 -13/7 0/1 1/6 -24/13 0/1 -59/32 1/3 -35/19 0/1 -46/25 1/4 -11/6 1/5 -31/17 0/1 1/3 -51/28 1/5 -71/39 5/18 2/7 -20/11 1/3 -49/27 1/3 -29/16 1/3 -9/5 1/3 3/8 -25/14 1/3 -91/51 2/5 -66/37 1/2 -173/97 7/15 1/2 -280/157 1/2 -107/60 3/5 -41/23 0/1 1/4 -98/55 1/3 -57/32 1/3 -16/9 2/5 -55/31 2/5 3/7 -94/53 5/12 -39/22 3/7 -23/13 4/9 1/2 -7/4 1/2 -33/19 1/2 2/3 -59/34 3/5 -85/49 1/2 1/1 -196/113 1/2 -111/64 3/5 -26/15 1/2 -19/11 3/5 2/3 -50/29 1/2 -81/47 3/5 2/3 -112/65 2/3 -31/18 1/1 -43/25 3/4 4/5 -55/32 1/1 -67/39 -1/1 0/1 -79/46 1/3 -12/7 1/2 -65/38 3/5 -53/31 1/2 2/3 -41/24 3/5 -111/65 3/5 2/3 -70/41 2/3 -29/17 3/4 1/1 -17/10 1/1 -56/33 1/1 -39/23 1/1 1/0 -22/13 1/2 -49/29 1/1 -27/16 1/1 -59/35 0/1 1/0 -32/19 0/1 -5/3 1/2 1/1 -28/17 1/1 -23/14 1/1 -41/25 1/2 2/3 -59/36 1/1 -77/47 0/1 -18/11 1/2 -31/19 0/1 1/1 -44/27 1/1 -101/62 1/3 -57/35 0/1 1/1 -70/43 0/1 -13/8 1/3 -34/21 1/2 -157/97 11/17 2/3 -280/173 2/3 -123/76 9/13 -212/131 5/7 -89/55 2/3 3/4 -55/34 1/1 -131/81 2/3 5/7 -76/47 3/4 -21/13 1/1 -92/57 1/0 -71/44 -1/1 -50/31 1/2 -29/18 1/1 -8/5 0/1 -27/17 1/3 3/8 -19/12 1/1 -30/19 1/2 -11/7 0/1 1/1 -36/23 1/2 -97/62 3/7 -61/39 1/2 1/1 -86/55 1/2 -25/16 1/3 -14/9 1/2 -31/20 3/5 -110/71 11/18 -79/51 5/8 2/3 -48/31 2/3 -17/11 1/2 3/5 -54/35 3/4 -37/24 3/5 -94/61 3/4 -57/37 2/3 1/1 -20/13 1/1 -23/15 1/2 2/3 -3/2 1/1 -22/15 3/2 -19/13 1/1 2/1 -54/37 5/2 -89/61 4/1 1/0 -124/85 5/1 -35/24 1/0 -16/11 0/1 -29/20 1/1 -42/29 1/1 -55/38 1/1 -13/9 3/2 2/1 -36/25 1/0 -59/41 2/1 1/0 -23/16 3/1 -56/39 1/0 -33/23 -2/1 1/0 -10/7 1/0 -47/33 3/1 1/0 -84/59 1/0 -37/26 -3/1 -27/19 -1/1 -1/2 -17/12 -1/1 -75/53 -1/1 0/1 -58/41 -1/4 -41/29 0/1 1/2 -106/75 1/0 -171/121 0/1 1/0 -65/46 -1/1 -24/17 0/1 -7/5 0/1 -32/23 0/1 -57/41 0/1 1/5 -196/141 1/5 -139/100 1/5 -82/59 1/4 -25/18 1/3 -18/13 1/4 -65/47 7/22 1/3 -112/81 1/3 -47/34 1/3 -29/21 1/3 1/2 -40/29 2/5 -11/8 1/1 -26/19 1/2 -41/30 7/15 -56/41 1/2 -15/11 1/2 4/7 -34/25 1/2 -53/39 1/2 2/3 -19/14 1/1 -23/17 2/3 3/4 -27/20 1/1 -4/3 1/1 -29/22 1/1 -112/85 1/1 -83/63 1/1 19/18 -54/41 7/6 -25/19 1/1 2/1 -46/35 3/2 -21/16 2/1 -59/45 2/1 1/0 -38/29 1/0 -131/100 5/3 -224/171 2/1 -93/71 2/1 7/3 -55/42 3/1 -17/13 1/1 1/0 -47/36 3/1 -30/23 1/0 -43/33 10/1 1/0 -56/43 1/0 -13/10 -3/1 -22/17 1/0 -53/41 0/1 1/0 -84/65 1/0 -31/24 -1/1 -9/7 -1/1 -1/2 -59/46 -1/3 -168/131 0/1 -109/85 -1/2 0/1 -50/39 -1/2 -41/32 -1/5 -32/25 0/1 -55/43 -1/3 0/1 -23/18 -1/3 -14/11 0/1 -33/26 1/9 -19/15 0/1 1/5 -43/34 1/1 -24/19 0/1 -53/42 1/5 -29/23 1/4 1/3 -5/4 1/3 -31/25 0/1 1/1 -26/21 1/2 -47/38 1/1 -68/55 1/2 -21/17 1/2 -100/81 1/2 -79/64 3/5 -58/47 5/8 -37/30 1/1 -16/13 2/3 -27/22 1/1 -11/9 2/3 1/1 -28/23 1/1 -17/14 1/1 -23/19 0/1 1/0 -29/24 1/1 -6/5 1/0 -19/16 -1/1 -32/27 0/1 -13/11 0/1 1/2 -20/17 1/0 -27/23 -1/1 -1/2 -7/6 0/1 -22/19 1/2 -15/13 1/2 2/3 -23/20 1/1 -54/47 3/4 -31/27 1/1 2/1 -8/7 0/1 -17/15 1/3 1/2 -9/8 1/1 -10/9 1/0 -11/10 -1/1 -1/1 0/1 1/1 0/1 0/1 1/1 0/1 1/5 11/10 1/7 10/9 1/6 9/8 1/5 17/15 1/4 1/3 8/7 0/1 15/13 2/9 1/4 7/6 0/1 20/17 1/6 13/11 0/1 1/4 19/16 1/7 6/5 1/6 23/19 0/1 1/6 17/14 1/5 28/23 1/5 11/9 1/5 2/9 16/13 2/9 21/17 1/4 26/21 1/4 5/4 1/3 24/19 0/1 19/15 0/1 1/1 14/11 0/1 37/29 0/1 1/13 23/18 1/9 55/43 0/1 1/9 32/25 0/1 9/7 1/8 1/7 22/17 1/6 13/10 3/19 30/23 1/6 77/59 1/6 47/36 3/17 17/13 1/6 1/5 38/29 1/6 21/16 2/11 25/19 2/11 1/5 4/3 1/5 31/23 0/1 1/5 58/43 5/26 27/20 1/5 23/17 3/14 2/9 19/14 1/5 34/25 1/4 49/36 2/9 15/11 4/17 1/4 26/19 1/4 11/8 1/5 29/21 1/4 1/3 47/34 1/3 18/13 1/2 25/18 1/3 7/5 0/1 31/22 1/7 86/61 1/6 55/39 0/1 1/5 24/17 0/1 41/29 0/1 1/4 17/12 1/7 27/19 1/8 1/7 10/7 1/6 23/16 3/17 36/25 1/6 13/9 2/11 3/16 42/29 1/5 29/20 1/5 16/11 0/1 19/13 2/11 1/5 3/2 1/5 20/13 1/5 37/24 3/13 17/11 3/13 1/4 14/9 1/4 39/25 1/4 1/3 64/41 2/7 25/16 1/3 11/7 0/1 1/5 30/19 1/4 19/12 1/5 84/53 1/4 65/41 1/4 5/19 46/29 1/4 27/17 3/10 1/3 8/5 0/1 29/18 1/5 79/49 2/9 1/4 50/31 1/4 71/44 1/7 21/13 1/5 97/60 7/33 76/47 3/14 55/34 1/5 89/55 3/14 2/9 123/76 9/41 34/21 1/4 13/8 1/3 31/19 0/1 1/5 18/11 1/4 59/36 1/5 41/25 2/9 1/4 64/39 0/1 23/14 1/5 28/17 1/5 5/3 1/5 1/4 27/16 1/5 49/29 1/5 22/13 1/4 17/10 1/5 29/17 1/5 3/14 70/41 2/9 41/24 3/13 53/31 2/9 1/4 65/38 3/13 77/45 1/4 12/7 1/4 31/18 1/5 50/29 1/4 19/11 2/9 3/13 26/15 1/4 7/4 1/4 30/17 1/4 83/47 1/4 5/19 53/30 3/11 23/13 1/4 4/15 39/22 3/11 55/31 3/11 2/7 16/9 2/7 57/32 1/3 41/23 0/1 1/2 107/60 3/13 66/37 1/4 25/14 1/3 84/47 1/4 59/33 1/4 2/7 34/19 1/4 9/5 3/10 1/3 29/16 1/3 20/11 1/3 11/6 1/1 46/25 1/2 35/19 0/1 59/32 1/3 24/13 0/1 13/7 0/1 1/0 28/15 0/1 15/8 1/9 2/1 1/4 17/8 1/1 15/7 -1/2 0/1 28/13 0/1 13/6 1/9 24/11 0/1 59/27 0/1 1/6 35/16 0/1 46/21 1/6 11/5 0/1 1/7 31/14 1/5 51/23 1/7 1/6 71/32 3/17 20/9 1/6 49/22 2/11 29/13 3/16 1/5 9/4 1/5 25/11 1/5 4/19 91/40 4/19 66/29 3/14 173/76 19/89 280/123 3/14 107/47 3/14 11/51 41/18 1/5 98/43 2/9 57/25 1/5 2/9 16/7 2/9 55/24 3/13 94/41 1/4 39/17 5/21 1/4 23/10 3/13 7/3 1/4 33/14 1/3 59/25 1/4 2/7 85/36 1/3 196/83 1/3 111/47 0/1 1/3 26/11 1/4 19/8 3/11 50/21 1/4 81/34 3/11 112/47 2/7 31/13 2/7 1/3 43/18 3/11 55/23 2/7 1/3 67/28 3/11 79/33 2/7 3/10 12/5 1/3 65/27 1/4 3/11 53/22 1/3 41/17 3/10 4/13 111/46 1/3 70/29 1/3 29/12 1/3 17/7 1/4 1/3 56/23 1/3 39/16 1/3 22/9 1/2 49/20 0/1 27/11 1/3 1/2 59/24 1/1 32/13 0/1 5/2 1/3 28/11 0/1 23/9 0/1 1/8 41/16 1/5 59/23 0/1 1/6 77/30 0/1 18/7 1/6 31/12 1/5 44/17 1/6 101/39 2/11 5/27 57/22 1/5 70/27 1/5 13/5 2/9 1/4 34/13 1/2 157/60 -1/3 280/107 0/1 123/47 0/1 1/7 212/81 1/4 89/34 1/3 55/21 0/1 1/3 131/50 1/5 76/29 1/3 21/8 0/1 92/35 1/7 71/27 0/1 1/4 50/19 1/6 29/11 1/5 3/14 8/3 0/1 27/10 1/5 19/7 1/5 2/9 30/11 1/4 11/4 1/3 36/13 1/5 97/35 2/9 5/22 61/22 1/3 86/31 1/4 25/9 0/1 1/5 14/5 1/4 31/11 2/7 1/3 110/39 3/8 79/28 1/3 48/17 0/1 17/6 1/3 54/19 1/6 37/13 0/1 1/3 94/33 1/6 57/20 1/5 20/7 1/4 23/8 1/3 3/1 0/1 1/4 22/7 1/4 19/6 1/3 54/17 1/6 89/28 1/5 124/39 1/4 35/11 1/4 16/5 0/1 29/9 1/4 1/3 42/13 0/1 55/17 0/1 1/5 13/4 1/3 36/11 1/5 59/18 1/5 23/7 2/9 1/4 56/17 1/4 33/10 3/11 10/3 1/4 47/14 1/3 84/25 1/3 37/11 0/1 1/3 27/8 1/3 17/5 1/3 1/2 75/22 1/3 58/17 1/0 41/12 1/5 106/31 1/2 171/50 1/3 65/19 1/2 1/1 24/7 0/1 7/2 0/1 32/9 0/1 57/16 1/7 196/55 1/6 139/39 1/6 1/5 82/23 1/6 25/7 0/1 1/5 18/5 1/6 65/18 1/5 112/31 1/5 47/13 1/5 5/24 29/8 1/5 40/11 2/9 11/3 1/5 2/9 26/7 1/4 41/11 8/33 1/4 56/15 1/4 15/4 3/11 34/9 1/4 53/14 1/3 19/5 0/1 1/3 23/6 1/7 27/7 5/26 1/5 4/1 1/4 29/7 7/22 1/3 112/27 1/3 83/20 1/3 54/13 5/14 25/6 1/3 46/11 1/2 21/5 0/1 59/14 1/5 38/9 1/4 131/31 0/1 1/1 224/53 0/1 93/22 1/7 55/13 0/1 1/5 17/4 1/5 47/11 1/5 1/4 30/7 1/4 43/10 9/37 56/13 1/4 13/3 1/4 4/15 22/5 3/10 53/12 1/3 84/19 1/3 31/7 1/3 2/5 9/2 1/3 59/13 0/1 1/2 168/37 0/1 109/24 1/3 50/11 1/2 41/9 0/1 1/0 32/7 0/1 55/12 1/3 23/5 0/1 1/4 14/3 0/1 33/7 0/1 1/6 19/4 1/5 43/9 0/1 1/2 24/5 0/1 53/11 0/1 1/6 29/6 1/5 5/1 1/5 1/4 31/6 1/3 26/5 1/4 47/9 1/4 1/3 68/13 1/5 21/4 1/4 100/19 5/19 79/15 1/4 4/15 58/11 5/18 37/7 2/7 1/3 16/3 0/1 27/5 1/5 1/4 11/2 3/13 28/5 1/4 17/3 1/4 7/27 23/4 5/19 29/5 3/11 11/40 6/1 1/4 19/3 3/11 2/7 32/5 2/7 13/2 5/17 20/3 1/3 27/4 1/3 7/1 1/3 22/3 1/2 15/2 1/1 23/3 0/1 1/4 54/7 3/10 31/4 1/3 8/1 0/1 17/2 1/5 9/1 1/5 1/4 10/1 1/4 11/1 3/11 2/7 1/0 1/3 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(57,728,22,281) (-11/1,1/0) -> (101/39,57/22) Hyperbolic Matrix(57,616,26,281) (-11/1,-10/1) -> (46/21,11/5) Hyperbolic Matrix(111,1064,70,671) (-10/1,-9/1) -> (65/41,46/29) Hyperbolic Matrix(111,952,26,223) (-9/1,-17/2) -> (17/4,47/11) Hyperbolic Matrix(113,952,40,337) (-17/2,-8/1) -> (48/17,17/6) Hyperbolic Matrix(169,1288,-66,-503) (-8/1,-15/2) -> (-41/16,-64/25) Hyperbolic Matrix(113,840,-30,-223) (-15/2,-7/1) -> (-49/13,-15/4) Hyperbolic Matrix(167,1120,-92,-617) (-7/1,-20/3) -> (-20/11,-49/27) Hyperbolic Matrix(111,728,34,223) (-20/3,-13/2) -> (13/4,36/11) Hyperbolic Matrix(167,1064,-132,-841) (-13/2,-19/3) -> (-19/15,-43/34) Hyperbolic Matrix(169,1064,98,617) (-19/3,-6/1) -> (50/29,19/11) Hyperbolic Matrix(279,1624,-106,-617) (-6/1,-23/4) -> (-79/30,-50/19) Hyperbolic Matrix(225,1288,98,561) (-23/4,-17/3) -> (39/17,23/10) Hyperbolic Matrix(169,952,30,169) (-17/3,-28/5) -> (28/5,17/3) Hyperbolic Matrix(111,616,20,111) (-28/5,-11/2) -> (11/2,28/5) Hyperbolic Matrix(113,616,-82,-447) (-11/2,-16/3) -> (-40/29,-11/8) Hyperbolic Matrix(169,896,-116,-615) (-16/3,-21/4) -> (-35/24,-16/11) Hyperbolic Matrix(505,2632,-118,-615) (-21/4,-26/5) -> (-30/7,-77/18) Hyperbolic Matrix(391,2016,-250,-1289) (-26/5,-5/1) -> (-61/39,-86/55) Hyperbolic Matrix(57,280,-34,-167) (-5/1,-24/5) -> (-32/19,-5/3) Hyperbolic Matrix(223,1064,-188,-897) (-24/5,-19/4) -> (-19/16,-32/27) Hyperbolic Matrix(167,784,-36,-169) (-19/4,-14/3) -> (-14/3,-37/8) Parabolic Matrix(279,1288,206,951) (-37/8,-23/5) -> (23/17,19/14) Hyperbolic Matrix(1343,6160,830,3807) (-23/5,-55/12) -> (55/34,89/55) Hyperbolic Matrix(783,3584,220,1007) (-55/12,-32/7) -> (32/9,57/16) Hyperbolic Matrix(503,2296,-356,-1625) (-32/7,-9/2) -> (-65/46,-24/17) Hyperbolic Matrix(113,504,-50,-223) (-9/2,-22/5) -> (-34/15,-9/4) Hyperbolic Matrix(167,728,64,279) (-22/5,-13/3) -> (13/5,34/13) Hyperbolic Matrix(391,1680,-300,-1289) (-13/3,-30/7) -> (-30/23,-43/33) Hyperbolic Matrix(2017,8624,-838,-3583) (-77/18,-47/11) -> (-65/27,-77/32) Hyperbolic Matrix(223,952,26,111) (-47/11,-17/4) -> (17/2,9/1) Hyperbolic Matrix(727,3080,-410,-1737) (-17/4,-38/9) -> (-94/53,-39/22) Hyperbolic Matrix(783,3304,-478,-2017) (-38/9,-21/5) -> (-77/47,-18/11) Hyperbolic Matrix(671,2800,-376,-1569) (-21/5,-25/6) -> (-25/14,-91/51) Hyperbolic Matrix(55,224,-14,-57) (-25/6,-4/1) -> (-4/1,-31/8) Parabolic Matrix(897,3472,116,449) (-31/8,-58/15) -> (54/7,31/4) Hyperbolic Matrix(1623,6272,-1232,-4761) (-58/15,-27/7) -> (-83/63,-54/41) Hyperbolic Matrix(335,1288,58,223) (-27/7,-23/6) -> (23/4,29/5) Hyperbolic Matrix(337,1288,264,1009) (-23/6,-19/5) -> (37/29,23/18) Hyperbolic Matrix(281,1064,-192,-727) (-19/5,-34/9) -> (-22/15,-19/13) Hyperbolic Matrix(727,2744,430,1623) (-34/9,-49/13) -> (49/29,22/13) Hyperbolic Matrix(391,1456,-286,-1065) (-15/4,-26/7) -> (-26/19,-41/30) Hyperbolic Matrix(167,616,106,391) (-26/7,-11/3) -> (11/7,30/19) Hyperbolic Matrix(169,616,-138,-503) (-11/3,-29/8) -> (-27/22,-11/9) Hyperbolic Matrix(449,1624,248,897) (-29/8,-47/13) -> (9/5,29/16) Hyperbolic Matrix(559,2016,-404,-1457) (-47/13,-18/5) -> (-18/13,-65/47) Hyperbolic Matrix(281,1008,172,617) (-18/5,-25/7) -> (31/19,18/11) Hyperbolic Matrix(111,392,-32,-113) (-25/7,-7/2) -> (-7/2,-31/9) Parabolic Matrix(1399,4816,504,1735) (-31/9,-86/25) -> (86/31,25/9) Hyperbolic Matrix(3191,10976,-1840,-6329) (-86/25,-55/16) -> (-111/64,-26/15) Hyperbolic Matrix(897,3080,196,673) (-55/16,-24/7) -> (32/7,55/12) Hyperbolic Matrix(671,2296,-524,-1793) (-24/7,-41/12) -> (-41/32,-32/25) Hyperbolic Matrix(279,952,-148,-505) (-41/12,-17/5) -> (-17/9,-15/8) Hyperbolic Matrix(281,952,116,393) (-17/5,-27/8) -> (29/12,17/7) Hyperbolic Matrix(449,1512,-166,-559) (-27/8,-10/3) -> (-46/17,-27/10) Hyperbolic Matrix(169,560,-118,-391) (-10/3,-23/7) -> (-33/23,-10/7) Hyperbolic Matrix(393,1288,-256,-839) (-23/7,-36/11) -> (-20/13,-23/15) Hyperbolic Matrix(223,728,34,111) (-36/11,-13/4) -> (13/2,20/3) Hyperbolic Matrix(449,1456,-276,-895) (-13/4,-42/13) -> (-70/43,-13/8) Hyperbolic Matrix(1007,3248,590,1903) (-42/13,-29/9) -> (29/17,70/41) Hyperbolic Matrix(279,896,52,167) (-29/9,-16/5) -> (16/3,27/5) Hyperbolic Matrix(281,896,-228,-727) (-16/5,-19/6) -> (-37/30,-16/13) Hyperbolic Matrix(337,1064,-248,-783) (-19/6,-3/1) -> (-53/39,-19/14) Hyperbolic Matrix(449,1288,-312,-895) (-3/1,-20/7) -> (-36/25,-59/41) Hyperbolic Matrix(1905,5432,-1178,-3359) (-20/7,-37/13) -> (-131/81,-76/47) Hyperbolic Matrix(671,1904,-474,-1345) (-37/13,-17/6) -> (-17/12,-75/53) Hyperbolic Matrix(279,784,-100,-281) (-17/6,-14/5) -> (-14/5,-39/14) Parabolic Matrix(503,1400,60,167) (-39/14,-64/23) -> (8/1,17/2) Hyperbolic Matrix(785,2184,-684,-1903) (-64/23,-25/9) -> (-31/27,-8/7) Hyperbolic Matrix(223,616,-122,-337) (-25/9,-11/4) -> (-11/6,-31/17) Hyperbolic Matrix(225,616,164,449) (-11/4,-30/11) -> (26/19,11/8) Hyperbolic Matrix(391,1064,226,615) (-30/11,-19/7) -> (19/11,26/15) Hyperbolic Matrix(1735,4704,516,1399) (-19/7,-84/31) -> (84/25,37/11) Hyperbolic Matrix(3473,9408,1034,2801) (-84/31,-65/24) -> (47/14,84/25) Hyperbolic Matrix(393,1064,352,953) (-65/24,-46/17) -> (10/9,9/8) Hyperbolic Matrix(167,448,104,279) (-27/10,-8/3) -> (8/5,29/18) Hyperbolic Matrix(169,448,106,281) (-8/3,-29/11) -> (27/17,8/5) Hyperbolic Matrix(1063,2800,276,727) (-29/11,-79/30) -> (23/6,27/7) Hyperbolic Matrix(3641,9576,-2576,-6775) (-50/19,-71/27) -> (-41/29,-106/75) Hyperbolic Matrix(1343,3528,-512,-1345) (-71/27,-21/8) -> (-21/8,-97/37) Parabolic Matrix(4145,10864,1496,3921) (-97/37,-76/29) -> (36/13,97/35) Hyperbolic Matrix(2073,5432,-1346,-3527) (-76/29,-55/21) -> (-57/37,-20/13) Hyperbolic Matrix(2353,6160,1840,4817) (-55/21,-89/34) -> (23/18,55/43) Hyperbolic Matrix(5991,15680,-3488,-9129) (-89/34,-123/47) -> (-67/39,-79/46) Hyperbolic Matrix(3639,9520,-2248,-5881) (-123/47,-34/13) -> (-34/21,-157/97) Hyperbolic Matrix(279,728,64,167) (-34/13,-13/5) -> (13/3,22/5) Hyperbolic Matrix(671,1736,-390,-1009) (-13/5,-31/12) -> (-31/18,-43/25) Hyperbolic Matrix(391,1008,282,727) (-31/12,-18/7) -> (18/13,25/18) Hyperbolic Matrix(1287,3304,-982,-2521) (-18/7,-59/23) -> (-59/45,-38/29) Hyperbolic Matrix(1791,4592,1048,2687) (-59/23,-41/16) -> (41/24,53/31) Hyperbolic Matrix(2407,6160,-1554,-3977) (-64/25,-23/9) -> (-79/51,-48/31) Hyperbolic Matrix(505,1288,198,505) (-23/9,-28/11) -> (28/11,23/9) Hyperbolic Matrix(111,280,44,111) (-28/11,-5/2) -> (5/2,28/11) Hyperbolic Matrix(113,280,-90,-223) (-5/2,-27/11) -> (-29/23,-5/4) Hyperbolic Matrix(1119,2744,502,1231) (-27/11,-49/20) -> (49/22,29/13) Hyperbolic Matrix(1121,2744,824,2017) (-49/20,-22/9) -> (34/25,49/36) Hyperbolic Matrix(505,1232,-298,-727) (-22/9,-17/7) -> (-39/23,-22/13) Hyperbolic Matrix(393,952,116,281) (-17/7,-29/12) -> (27/8,17/5) Hyperbolic Matrix(1345,3248,928,2241) (-29/12,-70/29) -> (42/29,29/20) Hyperbolic Matrix(2855,6888,-1602,-3865) (-70/29,-41/17) -> (-41/23,-98/55) Hyperbolic Matrix(1905,4592,1162,2801) (-41/17,-53/22) -> (59/36,41/25) Hyperbolic Matrix(1791,4312,-1396,-3361) (-53/22,-65/27) -> (-9/7,-59/46) Hyperbolic Matrix(4143,9968,-2840,-6833) (-77/32,-12/5) -> (-124/85,-35/24) Hyperbolic Matrix(727,1736,-446,-1065) (-12/5,-31/13) -> (-31/19,-44/27) Hyperbolic Matrix(2351,5600,-1364,-3249) (-31/13,-50/21) -> (-50/29,-81/47) Hyperbolic Matrix(447,1064,376,895) (-50/21,-19/8) -> (19/16,6/5) Hyperbolic Matrix(449,1064,284,673) (-19/8,-26/11) -> (30/19,19/12) Hyperbolic Matrix(167,392,-72,-169) (-26/11,-7/3) -> (-7/3,-30/13) Parabolic Matrix(4759,10976,-3424,-7897) (-30/13,-83/36) -> (-139/100,-82/59) Hyperbolic Matrix(2575,5936,534,1231) (-83/36,-53/23) -> (53/11,29/6) Hyperbolic Matrix(559,1288,194,447) (-53/23,-23/10) -> (23/8,3/1) Hyperbolic Matrix(561,1288,98,225) (-23/10,-39/17) -> (17/3,23/4) Hyperbolic Matrix(1343,3080,-1026,-2353) (-39/17,-55/24) -> (-55/42,-17/13) Hyperbolic Matrix(783,1792,440,1007) (-55/24,-16/7) -> (16/9,57/32) Hyperbolic Matrix(785,1792,442,1009) (-16/7,-57/25) -> (55/31,16/9) Hyperbolic Matrix(3023,6888,-1770,-4033) (-57/25,-41/18) -> (-41/24,-111/65) Hyperbolic Matrix(4255,9688,1918,4367) (-41/18,-107/47) -> (51/23,71/32) Hyperbolic Matrix(8119,18480,-4552,-10361) (-107/47,-66/29) -> (-66/37,-173/97) Hyperbolic Matrix(1231,2800,-936,-2129) (-66/29,-25/11) -> (-25/19,-46/35) Hyperbolic Matrix(2071,4704,468,1063) (-25/11,-84/37) -> (84/19,31/7) Hyperbolic Matrix(4145,9408,938,2129) (-84/37,-59/26) -> (53/12,84/19) Hyperbolic Matrix(1679,3808,444,1007) (-59/26,-34/15) -> (34/9,53/14) Hyperbolic Matrix(727,1624,526,1175) (-9/4,-29/13) -> (29/21,47/34) Hyperbolic Matrix(503,1120,-428,-953) (-29/13,-20/9) -> (-20/17,-27/23) Hyperbolic Matrix(279,616,-178,-393) (-20/9,-11/5) -> (-11/7,-36/23) Hyperbolic Matrix(281,616,26,57) (-11/5,-46/21) -> (10/1,11/1) Hyperbolic Matrix(2967,6496,1304,2855) (-46/21,-35/16) -> (91/40,66/29) Hyperbolic Matrix(3023,6608,1178,2575) (-35/16,-59/27) -> (59/23,77/30) Hyperbolic Matrix(1231,2688,256,559) (-59/27,-24/11) -> (24/5,53/11) Hyperbolic Matrix(617,1344,-488,-1063) (-24/11,-13/6) -> (-43/34,-24/19) Hyperbolic Matrix(337,728,156,337) (-13/6,-28/13) -> (28/13,13/6) Hyperbolic Matrix(391,840,182,391) (-28/13,-15/7) -> (15/7,28/13) Hyperbolic Matrix(447,952,-316,-673) (-15/7,-2/1) -> (-58/41,-41/29) Hyperbolic Matrix(503,952,-326,-617) (-2/1,-17/9) -> (-17/11,-54/35) Hyperbolic Matrix(449,840,240,449) (-15/8,-28/15) -> (28/15,15/8) Hyperbolic Matrix(391,728,210,391) (-28/15,-13/7) -> (13/7,28/15) Hyperbolic Matrix(393,728,-332,-615) (-13/7,-24/13) -> (-32/27,-13/11) Hyperbolic Matrix(1791,3304,728,1343) (-24/13,-59/32) -> (59/24,32/13) Hyperbolic Matrix(1793,3304,426,785) (-59/32,-35/19) -> (21/5,59/14) Hyperbolic Matrix(1399,2576,334,615) (-35/19,-46/25) -> (46/11,21/5) Hyperbolic Matrix(335,616,304,559) (-46/25,-11/6) -> (11/10,10/9) Hyperbolic Matrix(953,1736,-768,-1399) (-31/17,-51/28) -> (-5/4,-31/25) Hyperbolic Matrix(5321,9688,2984,5433) (-51/28,-71/39) -> (41/23,107/60) Hyperbolic Matrix(4369,7952,1662,3025) (-71/39,-20/11) -> (92/35,71/27) Hyperbolic Matrix(1513,2744,896,1625) (-49/27,-29/16) -> (27/16,49/29) Hyperbolic Matrix(897,1624,248,449) (-29/16,-9/5) -> (47/13,29/8) Hyperbolic Matrix(281,504,-218,-391) (-9/5,-25/14) -> (-31/24,-9/7) Hyperbolic Matrix(3641,6496,1978,3529) (-91/51,-66/37) -> (46/25,35/19) Hyperbolic Matrix(43959,78400,19310,34439) (-173/97,-280/157) -> (280/123,107/47) Hyperbolic Matrix(43961,78400,19312,34441) (-280/157,-107/60) -> (173/76,280/123) Hyperbolic Matrix(7223,12880,2606,4647) (-107/60,-41/23) -> (97/35,61/22) Hyperbolic Matrix(5375,9576,2074,3695) (-98/55,-57/32) -> (57/22,70/27) Hyperbolic Matrix(1007,1792,440,783) (-57/32,-16/9) -> (16/7,55/24) Hyperbolic Matrix(1009,1792,442,785) (-16/9,-55/31) -> (57/25,16/7) Hyperbolic Matrix(5935,10528,-3852,-6833) (-55/31,-94/53) -> (-94/61,-57/37) Hyperbolic Matrix(727,1288,600,1063) (-39/22,-23/13) -> (23/19,17/14) Hyperbolic Matrix(223,392,-128,-225) (-23/13,-7/4) -> (-7/4,-33/19) Parabolic Matrix(1903,3304,580,1007) (-33/19,-59/34) -> (59/18,23/7) Hyperbolic Matrix(3809,6608,1550,2689) (-59/34,-85/49) -> (27/11,59/24) Hyperbolic Matrix(25311,43904,7102,12319) (-85/49,-196/113) -> (196/55,139/39) Hyperbolic Matrix(18985,32928,5328,9241) (-196/113,-111/64) -> (57/16,196/55) Hyperbolic Matrix(615,1064,226,391) (-26/15,-19/11) -> (19/7,30/11) Hyperbolic Matrix(617,1064,98,169) (-19/11,-50/29) -> (6/1,19/3) Hyperbolic Matrix(7279,12544,3054,5263) (-81/47,-112/65) -> (112/47,31/13) Hyperbolic Matrix(7281,12544,3056,5265) (-112/65,-31/18) -> (81/34,112/47) Hyperbolic Matrix(1791,3080,-1238,-2129) (-43/25,-55/32) -> (-55/38,-13/9) Hyperbolic Matrix(391,672,32,55) (-55/32,-67/39) -> (11/1,1/0) Hyperbolic Matrix(5153,8848,-4174,-7167) (-79/46,-12/7) -> (-100/81,-79/64) Hyperbolic Matrix(2913,4984,-2356,-4031) (-12/7,-65/38) -> (-47/38,-68/55) Hyperbolic Matrix(8513,14560,-6024,-10303) (-65/38,-53/31) -> (-171/121,-65/46) Hyperbolic Matrix(2687,4592,1048,1791) (-53/31,-41/24) -> (41/16,59/23) Hyperbolic Matrix(4985,8512,1542,2633) (-111/65,-70/41) -> (42/13,55/17) Hyperbolic Matrix(1903,3248,590,1007) (-70/41,-29/17) -> (29/9,42/13) Hyperbolic Matrix(559,952,394,671) (-29/17,-17/10) -> (17/12,27/19) Hyperbolic Matrix(1847,3136,758,1287) (-17/10,-56/33) -> (56/23,39/16) Hyperbolic Matrix(1849,3136,760,1289) (-56/33,-39/23) -> (17/7,56/23) Hyperbolic Matrix(729,1232,100,169) (-22/13,-49/29) -> (7/1,22/3) Hyperbolic Matrix(895,1512,132,223) (-49/29,-27/16) -> (27/4,7/1) Hyperbolic Matrix(3919,6608,1660,2799) (-27/16,-59/35) -> (59/25,85/36) Hyperbolic Matrix(1961,3304,898,1513) (-59/35,-32/19) -> (24/11,59/27) Hyperbolic Matrix(169,280,102,169) (-5/3,-28/17) -> (28/17,5/3) Hyperbolic Matrix(783,1288,476,783) (-28/17,-23/14) -> (23/14,28/17) Hyperbolic Matrix(785,1288,-682,-1119) (-23/14,-41/25) -> (-15/13,-23/20) Hyperbolic Matrix(2801,4592,1162,1905) (-41/25,-59/36) -> (53/22,41/17) Hyperbolic Matrix(4033,6608,2188,3585) (-59/36,-77/47) -> (35/19,59/32) Hyperbolic Matrix(617,1008,172,281) (-18/11,-31/19) -> (25/7,18/5) Hyperbolic Matrix(16465,26824,-10174,-16575) (-44/27,-101/62) -> (-123/76,-212/131) Hyperbolic Matrix(447,728,412,671) (-101/62,-57/35) -> (1/1,11/10) Hyperbolic Matrix(5881,9576,2580,4201) (-57/35,-70/43) -> (98/43,57/25) Hyperbolic Matrix(449,728,346,561) (-13/8,-34/21) -> (22/17,13/10) Hyperbolic Matrix(48439,78400,18510,29959) (-157/97,-280/173) -> (280/107,123/47) Hyperbolic Matrix(48441,78400,18512,29961) (-280/173,-123/76) -> (157/60,280/107) Hyperbolic Matrix(18479,29904,-12666,-20497) (-212/131,-89/55) -> (-89/61,-124/85) Hyperbolic Matrix(3807,6160,830,1343) (-89/55,-55/34) -> (55/12,23/5) Hyperbolic Matrix(7617,12320,-5816,-9407) (-55/34,-131/81) -> (-93/71,-55/42) Hyperbolic Matrix(2183,3528,-1352,-2185) (-76/47,-21/13) -> (-21/13,-92/57) Parabolic Matrix(4927,7952,2220,3583) (-92/57,-71/44) -> (71/32,20/9) Hyperbolic Matrix(3471,5600,-2708,-4369) (-71/44,-50/31) -> (-50/39,-41/32) Hyperbolic Matrix(1007,1624,-834,-1345) (-50/31,-29/18) -> (-29/24,-6/5) Hyperbolic Matrix(279,448,104,167) (-29/18,-8/5) -> (8/3,27/10) Hyperbolic Matrix(281,448,106,169) (-8/5,-27/17) -> (29/11,8/3) Hyperbolic Matrix(953,1512,-670,-1063) (-27/17,-19/12) -> (-37/26,-27/19) Hyperbolic Matrix(673,1064,284,449) (-19/12,-30/19) -> (26/11,19/8) Hyperbolic Matrix(391,616,106,167) (-30/19,-11/7) -> (11/3,26/7) Hyperbolic Matrix(6943,10864,4294,6719) (-36/23,-97/62) -> (97/60,76/47) Hyperbolic Matrix(8233,12880,3616,5657) (-97/62,-61/39) -> (107/47,41/18) Hyperbolic Matrix(3081,4816,2186,3417) (-86/55,-25/16) -> (31/22,86/61) Hyperbolic Matrix(503,784,-324,-505) (-25/16,-14/9) -> (-14/9,-31/20) Parabolic Matrix(2855,4424,686,1063) (-31/20,-110/71) -> (54/13,25/6) Hyperbolic Matrix(8567,13272,1626,2519) (-110/71,-79/51) -> (79/15,58/11) Hyperbolic Matrix(615,952,542,839) (-48/31,-17/11) -> (17/15,8/7) Hyperbolic Matrix(1961,3024,618,953) (-54/35,-37/24) -> (19/6,54/17) Hyperbolic Matrix(8903,13720,-6796,-10473) (-37/24,-94/61) -> (-38/29,-131/100) Hyperbolic Matrix(841,1288,476,729) (-23/15,-3/2) -> (53/30,23/13) Hyperbolic Matrix(839,1232,190,279) (-3/2,-22/15) -> (22/5,53/12) Hyperbolic Matrix(2071,3024,728,1063) (-19/13,-54/37) -> (54/19,37/13) Hyperbolic Matrix(4145,6048,538,785) (-54/37,-89/61) -> (23/3,54/7) Hyperbolic Matrix(1119,1624,308,447) (-16/11,-29/20) -> (29/8,40/11) Hyperbolic Matrix(2241,3248,928,1345) (-29/20,-42/29) -> (70/29,29/12) Hyperbolic Matrix(5879,8512,2436,3527) (-42/29,-55/38) -> (111/46,70/29) Hyperbolic Matrix(505,728,428,617) (-13/9,-36/25) -> (20/17,13/11) Hyperbolic Matrix(2297,3304,974,1401) (-59/41,-23/16) -> (33/14,59/25) Hyperbolic Matrix(2183,3136,662,951) (-23/16,-56/39) -> (56/17,33/10) Hyperbolic Matrix(2185,3136,664,953) (-56/39,-33/23) -> (23/7,56/17) Hyperbolic Matrix(393,560,40,57) (-10/7,-47/33) -> (9/1,10/1) Hyperbolic Matrix(6607,9408,4168,5935) (-47/33,-84/59) -> (84/53,65/41) Hyperbolic Matrix(3305,4704,2086,2969) (-84/59,-37/26) -> (19/12,84/53) Hyperbolic Matrix(671,952,394,559) (-27/19,-17/12) -> (17/10,29/17) Hyperbolic Matrix(4591,6496,870,1231) (-75/53,-58/41) -> (58/11,37/7) Hyperbolic Matrix(14225,20104,-11094,-15679) (-106/75,-171/121) -> (-109/85,-50/39) Hyperbolic Matrix(279,392,-200,-281) (-24/17,-7/5) -> (-7/5,-32/23) Parabolic Matrix(2577,3584,2014,2801) (-32/23,-57/41) -> (55/43,32/25) Hyperbolic Matrix(23687,32928,10030,13943) (-57/41,-196/141) -> (196/83,111/47) Hyperbolic Matrix(31585,43904,13376,18593) (-196/141,-139/100) -> (85/36,196/83) Hyperbolic Matrix(2297,3192,444,617) (-82/59,-25/18) -> (31/6,26/5) Hyperbolic Matrix(727,1008,282,391) (-25/18,-18/13) -> (18/7,31/12) Hyperbolic Matrix(9071,12544,2510,3471) (-65/47,-112/81) -> (112/31,47/13) Hyperbolic Matrix(9073,12544,2512,3473) (-112/81,-47/34) -> (65/18,112/31) Hyperbolic Matrix(1175,1624,526,727) (-47/34,-29/21) -> (29/13,9/4) Hyperbolic Matrix(1177,1624,366,505) (-29/21,-40/29) -> (16/5,29/9) Hyperbolic Matrix(449,616,164,225) (-11/8,-26/19) -> (30/11,11/4) Hyperbolic Matrix(2295,3136,614,839) (-41/30,-56/41) -> (56/15,15/4) Hyperbolic Matrix(2297,3136,616,841) (-56/41,-15/11) -> (41/11,56/15) Hyperbolic Matrix(617,840,-534,-727) (-15/11,-34/25) -> (-22/19,-15/13) Hyperbolic Matrix(2801,3808,1566,2129) (-34/25,-53/39) -> (59/33,34/19) Hyperbolic Matrix(785,1064,166,225) (-19/14,-23/17) -> (33/7,19/4) Hyperbolic Matrix(2073,2800,1286,1737) (-23/17,-27/20) -> (29/18,79/49) Hyperbolic Matrix(167,224,-126,-169) (-27/20,-4/3) -> (-4/3,-29/22) Parabolic Matrix(9519,12544,2294,3023) (-29/22,-112/85) -> (112/27,83/20) Hyperbolic Matrix(9521,12544,2296,3025) (-112/85,-83/63) -> (29/7,112/27) Hyperbolic Matrix(3361,4424,1192,1569) (-54/41,-25/19) -> (31/11,110/39) Hyperbolic Matrix(1961,2576,896,1177) (-46/35,-21/16) -> (35/16,46/21) Hyperbolic Matrix(2519,3304,1152,1511) (-21/16,-59/45) -> (59/27,35/16) Hyperbolic Matrix(38303,50176,9062,11871) (-131/100,-224/171) -> (224/53,93/22) Hyperbolic Matrix(38305,50176,9064,11873) (-224/171,-93/71) -> (131/31,224/53) Hyperbolic Matrix(729,952,644,841) (-17/13,-47/36) -> (9/8,17/15) Hyperbolic Matrix(2017,2632,-1630,-2127) (-47/36,-30/23) -> (-26/21,-47/38) Hyperbolic Matrix(2407,3136,558,727) (-43/33,-56/43) -> (56/13,13/3) Hyperbolic Matrix(2409,3136,560,729) (-56/43,-13/10) -> (43/10,56/13) Hyperbolic Matrix(561,728,346,449) (-13/10,-22/17) -> (34/21,13/8) Hyperbolic Matrix(953,1232,304,393) (-22/17,-53/41) -> (3/1,22/7) Hyperbolic Matrix(7279,9408,4072,5263) (-53/41,-84/65) -> (84/47,59/33) Hyperbolic Matrix(3641,4704,2038,2633) (-84/65,-31/24) -> (25/14,84/47) Hyperbolic Matrix(22007,28224,4846,6215) (-59/46,-168/131) -> (168/37,109/24) Hyperbolic Matrix(22009,28224,4848,6217) (-168/131,-109/85) -> (59/13,168/37) Hyperbolic Matrix(2407,3080,1706,2183) (-32/25,-55/43) -> (55/39,24/17) Hyperbolic Matrix(4817,6160,1840,2353) (-55/43,-23/18) -> (89/34,55/21) Hyperbolic Matrix(615,784,-484,-617) (-23/18,-14/11) -> (-14/11,-33/26) Parabolic Matrix(839,1064,220,279) (-33/26,-19/15) -> (19/5,23/6) Hyperbolic Matrix(2129,2688,1154,1457) (-24/19,-53/42) -> (59/32,24/13) Hyperbolic Matrix(4705,5936,2664,3361) (-53/42,-29/23) -> (83/47,53/30) Hyperbolic Matrix(2575,3192,722,895) (-31/25,-26/21) -> (82/23,25/7) Hyperbolic Matrix(2855,3528,-2312,-2857) (-68/55,-21/17) -> (-21/17,-100/81) Parabolic Matrix(10753,13272,3812,4705) (-79/64,-58/47) -> (110/39,79/28) Hyperbolic Matrix(5265,6496,1544,1905) (-58/47,-37/30) -> (75/22,58/17) Hyperbolic Matrix(729,896,502,617) (-16/13,-27/22) -> (29/20,16/11) Hyperbolic Matrix(505,616,414,505) (-11/9,-28/23) -> (28/23,11/9) Hyperbolic Matrix(783,952,644,783) (-28/23,-17/14) -> (17/14,28/23) Hyperbolic Matrix(1063,1288,600,727) (-17/14,-23/19) -> (23/13,39/22) Hyperbolic Matrix(1065,1288,788,953) (-23/19,-29/24) -> (27/20,23/17) Hyperbolic Matrix(895,1064,376,447) (-6/5,-19/16) -> (19/8,50/21) Hyperbolic Matrix(617,728,428,505) (-13/11,-20/17) -> (36/25,13/9) Hyperbolic Matrix(1289,1512,526,617) (-27/23,-7/6) -> (49/20,27/11) Hyperbolic Matrix(1063,1232,434,503) (-7/6,-22/19) -> (22/9,49/20) Hyperbolic Matrix(5263,6048,1656,1903) (-23/20,-54/47) -> (54/17,89/28) Hyperbolic Matrix(3023,3472,2242,2575) (-54/47,-31/27) -> (31/23,58/43) Hyperbolic Matrix(1233,1400,790,897) (-8/7,-17/15) -> (39/25,64/41) Hyperbolic Matrix(841,952,644,729) (-17/15,-9/8) -> (47/36,17/13) Hyperbolic Matrix(503,560,150,167) (-9/8,-10/9) -> (10/3,47/14) Hyperbolic Matrix(559,616,304,335) (-10/9,-11/10) -> (11/6,46/25) Hyperbolic Matrix(617,672,258,281) (-11/10,-1/1) -> (55/23,67/28) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(1119,-1288,682,-785) (8/7,15/13) -> (41/25,64/39) Hyperbolic Matrix(727,-840,534,-617) (15/13,7/6) -> (49/36,15/11) Hyperbolic Matrix(953,-1120,428,-503) (7/6,20/17) -> (20/9,49/22) Hyperbolic Matrix(897,-1064,188,-223) (13/11,19/16) -> (19/4,43/9) Hyperbolic Matrix(1345,-1624,834,-1007) (6/5,23/19) -> (79/49,50/31) Hyperbolic Matrix(503,-616,138,-169) (11/9,16/13) -> (40/11,11/3) Hyperbolic Matrix(727,-896,228,-281) (16/13,21/17) -> (35/11,16/5) Hyperbolic Matrix(2127,-2632,1630,-2017) (21/17,26/21) -> (30/23,77/59) Hyperbolic Matrix(1625,-2016,586,-727) (26/21,5/4) -> (61/22,86/31) Hyperbolic Matrix(223,-280,90,-113) (5/4,24/19) -> (32/13,5/2) Hyperbolic Matrix(841,-1064,132,-167) (24/19,19/15) -> (19/3,32/5) Hyperbolic Matrix(617,-784,484,-615) (19/15,14/11) -> (14/11,37/29) Parabolic Matrix(1793,-2296,524,-671) (32/25,9/7) -> (65/19,24/7) Hyperbolic Matrix(391,-504,218,-281) (9/7,22/17) -> (34/19,9/5) Hyperbolic Matrix(1289,-1680,300,-391) (13/10,30/23) -> (30/7,43/10) Hyperbolic Matrix(6607,-8624,3862,-5041) (77/59,47/36) -> (65/38,77/45) Hyperbolic Matrix(2353,-3080,1026,-1343) (17/13,38/29) -> (94/41,39/17) Hyperbolic Matrix(2521,-3304,982,-1287) (38/29,21/16) -> (77/30,18/7) Hyperbolic Matrix(2129,-2800,936,-1231) (21/16,25/19) -> (25/11,91/40) Hyperbolic Matrix(169,-224,126,-167) (25/19,4/3) -> (4/3,31/23) Parabolic Matrix(4649,-6272,1120,-1511) (58/43,27/20) -> (83/20,54/13) Hyperbolic Matrix(783,-1064,248,-337) (19/14,34/25) -> (22/7,19/6) Hyperbolic Matrix(1065,-1456,286,-391) (15/11,26/19) -> (26/7,41/11) Hyperbolic Matrix(447,-616,82,-113) (11/8,29/21) -> (27/5,11/2) Hyperbolic Matrix(1457,-2016,404,-559) (47/34,18/13) -> (18/5,65/18) Hyperbolic Matrix(281,-392,200,-279) (25/18,7/5) -> (7/5,31/22) Parabolic Matrix(7785,-10976,3296,-4647) (86/61,55/39) -> (111/47,26/11) Hyperbolic Matrix(1625,-2296,356,-503) (24/17,41/29) -> (41/9,32/7) Hyperbolic Matrix(673,-952,316,-447) (41/29,17/12) -> (17/8,15/7) Hyperbolic Matrix(1063,-1512,670,-953) (27/19,10/7) -> (46/29,27/17) Hyperbolic Matrix(391,-560,118,-169) (10/7,23/16) -> (33/10,10/3) Hyperbolic Matrix(895,-1288,312,-449) (23/16,36/25) -> (20/7,23/8) Hyperbolic Matrix(1007,-1456,388,-561) (13/9,42/29) -> (70/27,13/5) Hyperbolic Matrix(615,-896,116,-169) (16/11,19/13) -> (37/7,16/3) Hyperbolic Matrix(727,-1064,192,-281) (19/13,3/2) -> (53/14,19/5) Hyperbolic Matrix(839,-1288,256,-393) (3/2,20/13) -> (36/11,59/18) Hyperbolic Matrix(3527,-5432,1346,-2073) (20/13,37/24) -> (131/50,76/29) Hyperbolic Matrix(1233,-1904,362,-559) (37/24,17/11) -> (17/5,75/22) Hyperbolic Matrix(505,-784,324,-503) (17/11,14/9) -> (14/9,39/25) Parabolic Matrix(1399,-2184,180,-281) (64/41,25/16) -> (31/4,8/1) Hyperbolic Matrix(393,-616,178,-279) (25/16,11/7) -> (11/5,31/14) Hyperbolic Matrix(5935,-9576,1736,-2801) (50/31,71/44) -> (41/12,106/31) Hyperbolic Matrix(2185,-3528,1352,-2183) (71/44,21/13) -> (21/13,97/60) Parabolic Matrix(3359,-5432,1178,-1905) (76/47,55/34) -> (57/20,20/7) Hyperbolic Matrix(9689,-15680,4048,-6551) (89/55,123/76) -> (67/28,79/33) Hyperbolic Matrix(5881,-9520,2248,-3639) (123/76,34/21) -> (34/13,157/60) Hyperbolic Matrix(1065,-1736,446,-727) (13/8,31/19) -> (31/13,43/18) Hyperbolic Matrix(2017,-3304,478,-783) (18/11,59/36) -> (59/14,38/9) Hyperbolic Matrix(3753,-6160,1330,-2183) (64/39,23/14) -> (79/28,48/17) Hyperbolic Matrix(167,-280,34,-57) (5/3,27/16) -> (29/6,5/1) Hyperbolic Matrix(727,-1232,298,-505) (22/13,17/10) -> (39/16,22/9) Hyperbolic Matrix(4033,-6888,1770,-3023) (70/41,41/24) -> (41/18,98/43) Hyperbolic Matrix(2521,-4312,556,-951) (53/31,65/38) -> (9/2,59/13) Hyperbolic Matrix(5825,-9968,1832,-3135) (77/45,12/7) -> (124/39,35/11) Hyperbolic Matrix(1009,-1736,390,-671) (12/7,31/18) -> (31/12,44/17) Hyperbolic Matrix(3249,-5600,1364,-2351) (31/18,50/29) -> (50/21,81/34) Hyperbolic Matrix(225,-392,128,-223) (26/15,7/4) -> (7/4,30/17) Parabolic Matrix(6217,-10976,1744,-3079) (30/17,83/47) -> (139/39,82/23) Hyperbolic Matrix(1737,-3080,410,-727) (39/22,55/31) -> (55/13,17/4) Hyperbolic Matrix(3865,-6888,1602,-2855) (57/32,41/23) -> (41/17,111/46) Hyperbolic Matrix(10361,-18480,4552,-8119) (107/60,66/37) -> (66/29,173/76) Hyperbolic Matrix(1569,-2800,376,-671) (66/37,25/14) -> (25/6,46/11) Hyperbolic Matrix(617,-1120,92,-167) (29/16,20/11) -> (20/3,27/4) Hyperbolic Matrix(337,-616,122,-223) (20/11,11/6) -> (11/4,36/13) Hyperbolic Matrix(727,-1344,152,-281) (24/13,13/7) -> (43/9,24/5) Hyperbolic Matrix(505,-952,148,-279) (15/8,2/1) -> (58/17,41/12) Hyperbolic Matrix(449,-952,158,-335) (2/1,17/8) -> (17/6,54/19) Hyperbolic Matrix(335,-728,52,-113) (13/6,24/11) -> (32/5,13/2) Hyperbolic Matrix(783,-1736,152,-337) (31/14,51/23) -> (5/1,31/6) Hyperbolic Matrix(223,-504,50,-113) (9/4,25/11) -> (31/7,9/2) Hyperbolic Matrix(4593,-10528,1612,-3695) (55/24,94/41) -> (94/33,57/20) Hyperbolic Matrix(169,-392,72,-167) (23/10,7/3) -> (7/3,33/14) Parabolic Matrix(1289,-3080,398,-951) (43/18,55/23) -> (55/17,13/4) Hyperbolic Matrix(3695,-8848,702,-1681) (79/33,12/5) -> (100/19,79/15) Hyperbolic Matrix(2071,-4984,396,-953) (12/5,65/27) -> (47/9,68/13) Hyperbolic Matrix(6047,-14560,1768,-4257) (65/27,53/22) -> (171/50,65/19) Hyperbolic Matrix(503,-1288,66,-169) (23/9,41/16) -> (15/2,23/3) Hyperbolic Matrix(10359,-26824,3958,-10249) (44/17,101/39) -> (123/47,212/81) Hyperbolic Matrix(11425,-29904,3594,-9407) (212/81,89/34) -> (89/28,124/39) Hyperbolic Matrix(4703,-12320,1112,-2913) (55/21,131/50) -> (93/22,55/13) Hyperbolic Matrix(1345,-3528,512,-1343) (76/29,21/8) -> (21/8,92/35) Parabolic Matrix(2129,-5600,468,-1231) (71/27,50/19) -> (50/11,41/9) Hyperbolic Matrix(617,-1624,106,-279) (50/19,29/11) -> (29/5,6/1) Hyperbolic Matrix(559,-1512,166,-449) (27/10,19/7) -> (37/11,27/8) Hyperbolic Matrix(281,-784,100,-279) (25/9,14/5) -> (14/5,31/11) Parabolic Matrix(4817,-13720,1140,-3247) (37/13,94/33) -> (38/9,131/31) Hyperbolic Matrix(5879,-20104,1294,-4425) (106/31,171/50) -> (109/24,50/11) Hyperbolic Matrix(113,-392,32,-111) (24/7,7/2) -> (7/2,32/9) Parabolic Matrix(223,-840,30,-113) (15/4,34/9) -> (22/3,15/2) Hyperbolic Matrix(57,-224,14,-55) (27/7,4/1) -> (4/1,29/7) Parabolic Matrix(615,-2632,118,-505) (47/11,30/7) -> (26/5,47/9) Hyperbolic Matrix(169,-784,36,-167) (23/5,14/3) -> (14/3,33/7) Parabolic Matrix(673,-3528,128,-671) (68/13,21/4) -> (21/4,100/19) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(57,728,22,281) -> Matrix(11,-4,58,-21) Matrix(57,616,26,281) -> Matrix(5,-2,28,-11) Matrix(111,1064,70,671) -> Matrix(9,-4,34,-15) Matrix(111,952,26,223) -> Matrix(3,-2,14,-9) Matrix(113,952,40,337) -> Matrix(1,0,2,1) Matrix(169,1288,-66,-503) -> Matrix(1,0,-4,1) Matrix(113,840,-30,-223) -> Matrix(7,-2,18,-5) Matrix(167,1120,-92,-617) -> Matrix(11,-4,36,-13) Matrix(111,728,34,223) -> Matrix(5,-2,28,-11) Matrix(167,1064,-132,-841) -> Matrix(5,-2,18,-7) Matrix(169,1064,98,617) -> Matrix(1,0,2,1) Matrix(279,1624,-106,-617) -> Matrix(5,-2,-2,1) Matrix(225,1288,98,561) -> Matrix(5,-2,18,-7) Matrix(169,952,30,169) -> Matrix(29,-14,114,-55) Matrix(111,616,20,111) -> Matrix(11,-6,46,-25) Matrix(113,616,-82,-447) -> Matrix(3,-2,8,-5) Matrix(169,896,-116,-615) -> Matrix(1,0,-2,1) Matrix(505,2632,-118,-615) -> Matrix(5,-2,8,-3) Matrix(391,2016,-250,-1289) -> Matrix(1,0,0,1) Matrix(57,280,-34,-167) -> Matrix(1,0,0,1) Matrix(223,1064,-188,-897) -> Matrix(1,0,-2,1) Matrix(167,784,-36,-169) -> Matrix(1,0,2,1) Matrix(279,1288,206,951) -> Matrix(7,-2,32,-9) Matrix(1343,6160,830,3807) -> Matrix(7,-2,32,-9) Matrix(783,3584,220,1007) -> Matrix(1,0,4,1) Matrix(503,2296,-356,-1625) -> Matrix(1,0,-4,1) Matrix(113,504,-50,-223) -> Matrix(5,-2,8,-3) Matrix(167,728,64,279) -> Matrix(5,-2,18,-7) Matrix(391,1680,-300,-1289) -> Matrix(11,-6,2,-1) Matrix(2017,8624,-838,-3583) -> Matrix(7,-4,16,-9) Matrix(223,952,26,111) -> Matrix(3,-2,14,-9) Matrix(727,3080,-410,-1737) -> Matrix(1,2,2,5) Matrix(783,3304,-478,-2017) -> Matrix(1,0,0,1) Matrix(671,2800,-376,-1569) -> Matrix(7,-2,18,-5) Matrix(55,224,-14,-57) -> Matrix(5,-2,8,-3) Matrix(897,3472,116,449) -> Matrix(5,-4,14,-11) Matrix(1623,6272,-1232,-4761) -> Matrix(15,-14,14,-13) Matrix(335,1288,58,223) -> Matrix(1,-4,4,-15) Matrix(337,1288,264,1009) -> Matrix(1,0,10,1) Matrix(281,1064,-192,-727) -> Matrix(7,-2,4,-1) Matrix(727,2744,430,1623) -> Matrix(1,0,2,1) Matrix(391,1456,-286,-1065) -> Matrix(7,-4,16,-9) Matrix(167,616,106,391) -> Matrix(3,-2,14,-9) Matrix(169,616,-138,-503) -> Matrix(1,0,0,1) Matrix(449,1624,248,897) -> Matrix(3,-2,8,-5) Matrix(559,2016,-404,-1457) -> Matrix(1,-2,4,-7) Matrix(281,1008,172,617) -> Matrix(1,0,4,1) Matrix(111,392,-32,-113) -> Matrix(1,0,2,1) Matrix(1399,4816,504,1735) -> Matrix(1,0,2,1) Matrix(3191,10976,-1840,-6329) -> Matrix(5,-2,8,-3) Matrix(897,3080,196,673) -> Matrix(1,0,2,1) Matrix(671,2296,-524,-1793) -> Matrix(1,0,-6,1) Matrix(279,952,-148,-505) -> Matrix(1,0,-4,1) Matrix(281,952,116,393) -> Matrix(1,0,0,1) Matrix(449,1512,-166,-559) -> Matrix(5,-2,8,-3) Matrix(169,560,-118,-391) -> Matrix(1,0,-2,1) Matrix(393,1288,-256,-839) -> Matrix(1,0,0,1) Matrix(223,728,34,111) -> Matrix(1,-2,4,-7) Matrix(449,1456,-276,-895) -> Matrix(1,0,0,1) Matrix(1007,3248,590,1903) -> Matrix(7,-2,32,-9) Matrix(279,896,52,167) -> Matrix(1,0,2,1) Matrix(281,896,-228,-727) -> Matrix(5,-2,8,-3) Matrix(337,1064,-248,-783) -> Matrix(5,-2,8,-3) Matrix(449,1288,-312,-895) -> Matrix(3,-2,2,-1) Matrix(1905,5432,-1178,-3359) -> Matrix(1,-2,2,-3) Matrix(671,1904,-474,-1345) -> Matrix(1,0,-4,1) Matrix(279,784,-100,-281) -> Matrix(5,-2,8,-3) Matrix(503,1400,60,167) -> Matrix(3,-2,14,-9) Matrix(785,2184,-684,-1903) -> Matrix(3,-2,2,-1) Matrix(223,616,-122,-337) -> Matrix(1,0,2,1) Matrix(225,616,164,449) -> Matrix(1,0,2,1) Matrix(391,1064,226,615) -> Matrix(7,-4,30,-17) Matrix(1735,4704,516,1399) -> Matrix(3,-2,8,-5) Matrix(3473,9408,1034,2801) -> Matrix(3,-4,10,-13) Matrix(393,1064,352,953) -> Matrix(1,0,4,1) Matrix(167,448,104,279) -> Matrix(1,0,4,1) Matrix(169,448,106,281) -> Matrix(1,0,2,1) Matrix(1063,2800,276,727) -> Matrix(1,-2,6,-11) Matrix(3641,9576,-2576,-6775) -> Matrix(1,0,0,1) Matrix(1343,3528,-512,-1345) -> Matrix(1,0,4,1) Matrix(4145,10864,1496,3921) -> Matrix(7,-2,32,-9) Matrix(2073,5432,-1346,-3527) -> Matrix(5,-2,8,-3) Matrix(2353,6160,1840,4817) -> Matrix(1,0,6,1) Matrix(5991,15680,-3488,-9129) -> Matrix(1,0,0,1) Matrix(3639,9520,-2248,-5881) -> Matrix(9,-2,14,-3) Matrix(279,728,64,167) -> Matrix(5,-2,18,-7) Matrix(671,1736,-390,-1009) -> Matrix(1,-2,2,-3) Matrix(391,1008,282,727) -> Matrix(1,0,2,1) Matrix(1287,3304,-982,-2521) -> Matrix(1,2,0,1) Matrix(1791,4592,1048,2687) -> Matrix(1,2,4,9) Matrix(2407,6160,-1554,-3977) -> Matrix(1,-2,2,-3) Matrix(505,1288,198,505) -> Matrix(1,0,10,1) Matrix(111,280,44,111) -> Matrix(1,0,0,1) Matrix(113,280,-90,-223) -> Matrix(1,0,0,1) Matrix(1119,2744,502,1231) -> Matrix(5,-2,28,-11) Matrix(1121,2744,824,2017) -> Matrix(7,-2,32,-9) Matrix(505,1232,-298,-727) -> Matrix(1,0,-2,1) Matrix(393,952,116,281) -> Matrix(1,0,0,1) Matrix(1345,3248,928,2241) -> Matrix(7,-2,32,-9) Matrix(2855,6888,-1602,-3865) -> Matrix(11,-4,36,-13) Matrix(1905,4592,1162,2801) -> Matrix(5,-2,28,-11) Matrix(1791,4312,-1396,-3361) -> Matrix(5,-2,-12,5) Matrix(4143,9968,-2840,-6833) -> Matrix(7,-4,2,-1) Matrix(727,1736,-446,-1065) -> Matrix(5,-2,8,-3) Matrix(2351,5600,-1364,-3249) -> Matrix(9,-4,16,-7) Matrix(447,1064,376,895) -> Matrix(5,-2,28,-11) Matrix(449,1064,284,673) -> Matrix(5,-2,18,-7) Matrix(167,392,-72,-169) -> Matrix(9,-4,16,-7) Matrix(4759,10976,-3424,-7897) -> Matrix(7,-4,30,-17) Matrix(2575,5936,534,1231) -> Matrix(3,-2,20,-13) Matrix(559,1288,194,447) -> Matrix(3,-2,14,-9) Matrix(561,1288,98,225) -> Matrix(5,-2,18,-7) Matrix(1343,3080,-1026,-2353) -> Matrix(11,-6,2,-1) Matrix(783,1792,440,1007) -> Matrix(13,-8,44,-27) Matrix(785,1792,442,1009) -> Matrix(11,-8,40,-29) Matrix(3023,6888,-1770,-4033) -> Matrix(11,-8,18,-13) Matrix(4255,9688,1918,4367) -> Matrix(11,-8,62,-45) Matrix(8119,18480,-4552,-10361) -> Matrix(13,-10,30,-23) Matrix(1231,2800,-936,-2129) -> Matrix(7,-6,6,-5) Matrix(2071,4704,468,1063) -> Matrix(7,-6,20,-17) Matrix(4145,9408,938,2129) -> Matrix(11,-12,34,-37) Matrix(1679,3808,444,1007) -> Matrix(1,-2,4,-7) Matrix(727,1624,526,1175) -> Matrix(3,-4,10,-13) Matrix(503,1120,-428,-953) -> Matrix(1,-2,0,1) Matrix(279,616,-178,-393) -> Matrix(1,0,2,1) Matrix(281,616,26,57) -> Matrix(1,-2,4,-7) Matrix(2967,6496,1304,2855) -> Matrix(3,4,14,19) Matrix(3023,6608,1178,2575) -> Matrix(1,0,6,1) Matrix(1231,2688,256,559) -> Matrix(1,0,6,1) Matrix(617,1344,-488,-1063) -> Matrix(1,0,4,1) Matrix(337,728,156,337) -> Matrix(1,0,12,1) Matrix(391,840,182,391) -> Matrix(1,0,-10,1) Matrix(447,952,-316,-673) -> Matrix(1,0,-6,1) Matrix(503,952,-326,-617) -> Matrix(1,-2,2,-3) Matrix(449,840,240,449) -> Matrix(1,0,12,1) Matrix(391,728,210,391) -> Matrix(1,0,-6,1) Matrix(393,728,-332,-615) -> Matrix(1,0,-4,1) Matrix(1791,3304,728,1343) -> Matrix(1,0,-2,1) Matrix(1793,3304,426,785) -> Matrix(1,0,2,1) Matrix(1399,2576,334,615) -> Matrix(1,0,-2,1) Matrix(335,616,304,559) -> Matrix(1,0,2,1) Matrix(953,1736,-768,-1399) -> Matrix(1,0,-2,1) Matrix(5321,9688,2984,5433) -> Matrix(7,-2,32,-9) Matrix(4369,7952,1662,3025) -> Matrix(7,-2,46,-13) Matrix(1513,2744,896,1625) -> Matrix(7,-2,32,-9) Matrix(897,1624,248,449) -> Matrix(7,-2,32,-9) Matrix(281,504,-218,-391) -> Matrix(5,-2,-2,1) Matrix(3641,6496,1978,3529) -> Matrix(5,-2,8,-3) Matrix(43959,78400,19310,34439) -> Matrix(67,-32,312,-149) Matrix(43961,78400,19312,34441) -> Matrix(53,-28,248,-131) Matrix(7223,12880,2606,4647) -> Matrix(3,-2,14,-9) Matrix(5375,9576,2074,3695) -> Matrix(23,-8,118,-41) Matrix(1007,1792,440,783) -> Matrix(21,-8,92,-35) Matrix(1009,1792,442,785) -> Matrix(19,-8,88,-37) Matrix(5935,10528,-3852,-6833) -> Matrix(9,-4,16,-7) Matrix(727,1288,600,1063) -> Matrix(9,-4,52,-23) Matrix(223,392,-128,-225) -> Matrix(13,-6,24,-11) Matrix(1903,3304,580,1007) -> Matrix(7,-4,30,-17) Matrix(3809,6608,1550,2689) -> Matrix(3,-2,8,-5) Matrix(25311,43904,7102,12319) -> Matrix(1,0,4,1) Matrix(18985,32928,5328,9241) -> Matrix(7,-4,44,-25) Matrix(615,1064,226,391) -> Matrix(7,-4,30,-17) Matrix(617,1064,98,169) -> Matrix(1,0,2,1) Matrix(7279,12544,3054,5263) -> Matrix(13,-8,44,-27) Matrix(7281,12544,3056,5265) -> Matrix(11,-8,40,-29) Matrix(1791,3080,-1238,-2129) -> Matrix(7,-6,6,-5) Matrix(391,672,32,55) -> Matrix(1,-2,4,-7) Matrix(5153,8848,-4174,-7167) -> Matrix(9,-4,16,-7) Matrix(2913,4984,-2356,-4031) -> Matrix(3,-2,8,-5) Matrix(8513,14560,-6024,-10303) -> Matrix(3,-2,2,-1) Matrix(2687,4592,1048,1791) -> Matrix(3,-2,20,-13) Matrix(4985,8512,1542,2633) -> Matrix(3,-2,20,-13) Matrix(1903,3248,590,1007) -> Matrix(3,-2,8,-5) Matrix(559,952,394,671) -> Matrix(3,-2,20,-13) Matrix(1847,3136,758,1287) -> Matrix(5,-4,14,-11) Matrix(1849,3136,760,1289) -> Matrix(1,-2,4,-7) Matrix(729,1232,100,169) -> Matrix(3,-2,8,-5) Matrix(895,1512,132,223) -> Matrix(1,-2,4,-7) Matrix(3919,6608,1660,2799) -> Matrix(1,-2,4,-7) Matrix(1961,3304,898,1513) -> Matrix(1,0,6,1) Matrix(169,280,102,169) -> Matrix(3,-2,14,-9) Matrix(783,1288,476,783) -> Matrix(1,0,4,1) Matrix(785,1288,-682,-1119) -> Matrix(1,0,0,1) Matrix(2801,4592,1162,1905) -> Matrix(1,-2,4,-7) Matrix(4033,6608,2188,3585) -> Matrix(1,0,2,1) Matrix(617,1008,172,281) -> Matrix(1,0,4,1) Matrix(16465,26824,-10174,-16575) -> Matrix(3,2,4,3) Matrix(447,728,412,671) -> Matrix(1,0,4,1) Matrix(5881,9576,2580,4201) -> Matrix(3,-2,14,-9) Matrix(449,728,346,561) -> Matrix(3,-2,20,-13) Matrix(48439,78400,18510,29959) -> Matrix(3,-2,38,-25) Matrix(48441,78400,18512,29961) -> Matrix(3,-2,-22,15) Matrix(18479,29904,-12666,-20497) -> Matrix(13,-10,4,-3) Matrix(3807,6160,830,1343) -> Matrix(3,-2,8,-5) Matrix(7617,12320,-5816,-9407) -> Matrix(7,-4,2,-1) Matrix(2183,3528,-1352,-2185) -> Matrix(5,-4,4,-3) Matrix(4927,7952,2220,3583) -> Matrix(1,-2,6,-11) Matrix(3471,5600,-2708,-4369) -> Matrix(1,0,-4,1) Matrix(1007,1624,-834,-1345) -> Matrix(3,-2,2,-1) Matrix(279,448,104,167) -> Matrix(1,0,4,1) Matrix(281,448,106,169) -> Matrix(1,0,2,1) Matrix(953,1512,-670,-1063) -> Matrix(5,-2,-2,1) Matrix(673,1064,284,449) -> Matrix(5,-2,18,-7) Matrix(391,616,106,167) -> Matrix(3,-2,14,-9) Matrix(6943,10864,4294,6719) -> Matrix(7,-2,32,-9) Matrix(8233,12880,3616,5657) -> Matrix(19,-8,88,-37) Matrix(3081,4816,2186,3417) -> Matrix(1,0,4,1) Matrix(503,784,-324,-505) -> Matrix(9,-4,16,-7) Matrix(2855,4424,686,1063) -> Matrix(7,-4,16,-9) Matrix(8567,13272,1626,2519) -> Matrix(29,-18,108,-67) Matrix(615,952,542,839) -> Matrix(3,-2,14,-9) Matrix(1961,3024,618,953) -> Matrix(3,-2,14,-9) Matrix(8903,13720,-6796,-10473) -> Matrix(5,-4,4,-3) Matrix(841,1288,476,729) -> Matrix(5,-2,18,-7) Matrix(839,1232,190,279) -> Matrix(5,-6,16,-19) Matrix(2071,3024,728,1063) -> Matrix(1,-2,4,-7) Matrix(4145,6048,538,785) -> Matrix(1,-4,4,-15) Matrix(1119,1624,308,447) -> Matrix(3,-2,14,-9) Matrix(2241,3248,928,1345) -> Matrix(3,-2,8,-5) Matrix(5879,8512,2436,3527) -> Matrix(15,-16,46,-49) Matrix(505,728,428,617) -> Matrix(1,-2,6,-11) Matrix(2297,3304,974,1401) -> Matrix(1,-4,4,-15) Matrix(2183,3136,662,951) -> Matrix(1,-6,4,-23) Matrix(2185,3136,664,953) -> Matrix(1,4,4,17) Matrix(393,560,40,57) -> Matrix(1,-2,4,-7) Matrix(6607,9408,4168,5935) -> Matrix(1,-8,4,-31) Matrix(3305,4704,2086,2969) -> Matrix(1,4,4,17) Matrix(671,952,394,559) -> Matrix(1,2,4,9) Matrix(4591,6496,870,1231) -> Matrix(3,2,10,7) Matrix(14225,20104,-11094,-15679) -> Matrix(1,0,-2,1) Matrix(279,392,-200,-281) -> Matrix(1,0,4,1) Matrix(2577,3584,2014,2801) -> Matrix(1,0,4,1) Matrix(23687,32928,10030,13943) -> Matrix(1,0,-2,1) Matrix(31585,43904,13376,18593) -> Matrix(9,-2,32,-7) Matrix(2297,3192,444,617) -> Matrix(1,0,0,1) Matrix(727,1008,282,391) -> Matrix(1,0,2,1) Matrix(9071,12544,2510,3471) -> Matrix(37,-12,182,-59) Matrix(9073,12544,2512,3473) -> Matrix(41,-14,208,-71) Matrix(1175,1624,526,727) -> Matrix(11,-4,58,-21) Matrix(1177,1624,366,505) -> Matrix(5,-2,18,-7) Matrix(449,616,164,225) -> Matrix(1,0,2,1) Matrix(2295,3136,614,839) -> Matrix(21,-10,82,-39) Matrix(2297,3136,616,841) -> Matrix(23,-12,94,-49) Matrix(617,840,-534,-727) -> Matrix(3,-2,8,-5) Matrix(2801,3808,1566,2129) -> Matrix(1,0,2,1) Matrix(785,1064,166,225) -> Matrix(3,-2,14,-9) Matrix(2073,2800,1286,1737) -> Matrix(5,-4,24,-19) Matrix(167,224,-126,-169) -> Matrix(3,-2,2,-1) Matrix(9519,12544,2294,3023) -> Matrix(21,-20,62,-59) Matrix(9521,12544,2296,3025) -> Matrix(25,-26,76,-79) Matrix(3361,4424,1192,1569) -> Matrix(3,-4,10,-13) Matrix(1961,2576,896,1177) -> Matrix(1,-2,8,-15) Matrix(2519,3304,1152,1511) -> Matrix(1,-2,6,-11) Matrix(38303,50176,9062,11871) -> Matrix(1,-2,10,-19) Matrix(38305,50176,9064,11873) -> Matrix(1,-2,-2,5) Matrix(729,952,644,841) -> Matrix(1,-2,4,-7) Matrix(2017,2632,-1630,-2127) -> Matrix(1,-4,2,-7) Matrix(2407,3136,558,727) -> Matrix(1,-14,4,-55) Matrix(2409,3136,560,729) -> Matrix(1,12,4,49) Matrix(561,728,346,449) -> Matrix(1,2,4,9) Matrix(953,1232,304,393) -> Matrix(1,0,4,1) Matrix(7279,9408,4072,5263) -> Matrix(1,-2,4,-7) Matrix(3641,4704,2038,2633) -> Matrix(1,0,4,1) Matrix(22007,28224,4846,6215) -> Matrix(1,0,6,1) Matrix(22009,28224,4848,6217) -> Matrix(1,0,4,1) Matrix(2407,3080,1706,2183) -> Matrix(1,0,8,1) Matrix(4817,6160,1840,2353) -> Matrix(1,0,6,1) Matrix(615,784,-484,-617) -> Matrix(1,0,12,1) Matrix(839,1064,220,279) -> Matrix(1,0,-2,1) Matrix(2129,2688,1154,1457) -> Matrix(1,0,-2,1) Matrix(4705,5936,2664,3361) -> Matrix(17,-4,64,-15) Matrix(2575,3192,722,895) -> Matrix(1,0,4,1) Matrix(2855,3528,-2312,-2857) -> Matrix(9,-4,16,-7) Matrix(10753,13272,3812,4705) -> Matrix(7,-4,16,-9) Matrix(5265,6496,1544,1905) -> Matrix(3,-2,8,-5) Matrix(729,896,502,617) -> Matrix(3,-2,14,-9) Matrix(505,616,414,505) -> Matrix(5,-4,24,-19) Matrix(783,952,644,783) -> Matrix(5,-6,26,-31) Matrix(1063,1288,600,727) -> Matrix(1,-4,4,-15) Matrix(1065,1288,788,953) -> Matrix(3,-2,14,-9) Matrix(895,1064,376,447) -> Matrix(1,-2,4,-7) Matrix(617,728,428,505) -> Matrix(1,-2,6,-11) Matrix(1289,1512,526,617) -> Matrix(1,0,4,1) Matrix(1063,1232,434,503) -> Matrix(1,0,0,1) Matrix(5263,6048,1656,1903) -> Matrix(3,-2,14,-9) Matrix(3023,3472,2242,2575) -> Matrix(1,-2,6,-11) Matrix(1233,1400,790,897) -> Matrix(5,-2,18,-7) Matrix(841,952,644,729) -> Matrix(5,-2,28,-11) Matrix(503,560,150,167) -> Matrix(1,-2,4,-7) Matrix(559,616,304,335) -> Matrix(1,0,2,1) Matrix(617,672,258,281) -> Matrix(1,-2,4,-7) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(1119,-1288,682,-785) -> Matrix(1,0,0,1) Matrix(727,-840,534,-617) -> Matrix(7,-2,32,-9) Matrix(953,-1120,428,-503) -> Matrix(13,-2,72,-11) Matrix(897,-1064,188,-223) -> Matrix(1,0,-2,1) Matrix(1345,-1624,834,-1007) -> Matrix(11,-2,50,-9) Matrix(503,-616,138,-169) -> Matrix(1,0,0,1) Matrix(727,-896,228,-281) -> Matrix(9,-2,32,-7) Matrix(2127,-2632,1630,-2017) -> Matrix(17,-4,98,-23) Matrix(1625,-2016,586,-727) -> Matrix(1,0,0,1) Matrix(223,-280,90,-113) -> Matrix(1,0,0,1) Matrix(841,-1064,132,-167) -> Matrix(5,-2,18,-7) Matrix(617,-784,484,-615) -> Matrix(1,0,12,1) Matrix(1793,-2296,524,-671) -> Matrix(1,0,-6,1) Matrix(391,-504,218,-281) -> Matrix(13,-2,46,-7) Matrix(1289,-1680,300,-391) -> Matrix(35,-6,146,-25) Matrix(6607,-8624,3862,-5041) -> Matrix(35,-6,146,-25) Matrix(2353,-3080,1026,-1343) -> Matrix(35,-6,146,-25) Matrix(2521,-3304,982,-1287) -> Matrix(11,-2,72,-13) Matrix(2129,-2800,936,-1231) -> Matrix(31,-6,150,-29) Matrix(169,-224,126,-167) -> Matrix(11,-2,50,-9) Matrix(4649,-6272,1120,-1511) -> Matrix(51,-10,148,-29) Matrix(783,-1064,248,-337) -> Matrix(9,-2,32,-7) Matrix(1065,-1456,286,-391) -> Matrix(15,-4,64,-17) Matrix(447,-616,82,-113) -> Matrix(7,-2,32,-9) Matrix(1457,-2016,404,-559) -> Matrix(5,-2,28,-11) Matrix(281,-392,200,-279) -> Matrix(1,0,4,1) Matrix(7785,-10976,3296,-4647) -> Matrix(1,0,-2,1) Matrix(1625,-2296,356,-503) -> Matrix(1,0,-4,1) Matrix(673,-952,316,-447) -> Matrix(1,0,-6,1) Matrix(1063,-1512,670,-953) -> Matrix(13,-2,46,-7) Matrix(391,-560,118,-169) -> Matrix(1,0,-2,1) Matrix(895,-1288,312,-449) -> Matrix(11,-2,50,-9) Matrix(1007,-1456,388,-561) -> Matrix(21,-4,100,-19) Matrix(615,-896,116,-169) -> Matrix(1,0,-2,1) Matrix(727,-1064,192,-281) -> Matrix(11,-2,28,-5) Matrix(839,-1288,256,-393) -> Matrix(1,0,0,1) Matrix(3527,-5432,1346,-2073) -> Matrix(9,-2,32,-7) Matrix(1233,-1904,362,-559) -> Matrix(9,-2,14,-3) Matrix(505,-784,324,-503) -> Matrix(17,-4,64,-15) Matrix(1399,-2184,180,-281) -> Matrix(7,-2,18,-5) Matrix(393,-616,178,-279) -> Matrix(1,0,2,1) Matrix(5935,-9576,1736,-2801) -> Matrix(1,0,-2,1) Matrix(2185,-3528,1352,-2183) -> Matrix(21,-4,100,-19) Matrix(3359,-5432,1178,-1905) -> Matrix(9,-2,50,-11) Matrix(9689,-15680,4048,-6551) -> Matrix(55,-12,188,-41) Matrix(5881,-9520,2248,-3639) -> Matrix(9,-2,14,-3) Matrix(1065,-1736,446,-727) -> Matrix(9,-2,32,-7) Matrix(2017,-3304,478,-783) -> Matrix(1,0,0,1) Matrix(3753,-6160,1330,-2183) -> Matrix(1,0,-2,1) Matrix(167,-280,34,-57) -> Matrix(1,0,0,1) Matrix(727,-1232,298,-505) -> Matrix(1,0,-2,1) Matrix(4033,-6888,1770,-3023) -> Matrix(35,-8,162,-37) Matrix(2521,-4312,556,-951) -> Matrix(9,-2,14,-3) Matrix(5825,-9968,1832,-3135) -> Matrix(1,0,0,1) Matrix(1009,-1736,390,-671) -> Matrix(9,-2,50,-11) Matrix(3249,-5600,1364,-2351) -> Matrix(17,-4,64,-15) Matrix(225,-392,128,-223) -> Matrix(25,-6,96,-23) Matrix(6217,-10976,1744,-3079) -> Matrix(15,-4,94,-25) Matrix(1737,-3080,410,-727) -> Matrix(7,-2,46,-13) Matrix(3865,-6888,1602,-2855) -> Matrix(11,-4,36,-13) Matrix(10361,-18480,4552,-8119) -> Matrix(37,-10,174,-47) Matrix(1569,-2800,376,-671) -> Matrix(7,-2,18,-5) Matrix(617,-1120,92,-167) -> Matrix(11,-4,36,-13) Matrix(337,-616,122,-223) -> Matrix(1,0,2,1) Matrix(727,-1344,152,-281) -> Matrix(1,0,2,1) Matrix(505,-952,148,-279) -> Matrix(1,0,-4,1) Matrix(449,-952,158,-335) -> Matrix(1,0,2,1) Matrix(335,-728,52,-113) -> Matrix(13,-2,46,-7) Matrix(783,-1736,152,-337) -> Matrix(1,0,-2,1) Matrix(223,-504,50,-113) -> Matrix(9,-2,32,-7) Matrix(4593,-10528,1612,-3695) -> Matrix(17,-4,98,-23) Matrix(169,-392,72,-167) -> Matrix(17,-4,64,-15) Matrix(1289,-3080,398,-951) -> Matrix(7,-2,32,-9) Matrix(3695,-8848,702,-1681) -> Matrix(47,-14,178,-53) Matrix(2071,-4984,396,-953) -> Matrix(7,-2,32,-9) Matrix(6047,-14560,1768,-4257) -> Matrix(7,-2,18,-5) Matrix(503,-1288,66,-169) -> Matrix(1,0,-4,1) Matrix(10359,-26824,3958,-10249) -> Matrix(11,-2,50,-9) Matrix(11425,-29904,3594,-9407) -> Matrix(7,-2,32,-9) Matrix(4703,-12320,1112,-2913) -> Matrix(1,0,2,1) Matrix(1345,-3528,512,-1343) -> Matrix(1,0,4,1) Matrix(2129,-5600,468,-1231) -> Matrix(1,0,-4,1) Matrix(617,-1624,106,-279) -> Matrix(13,-2,46,-7) Matrix(559,-1512,166,-449) -> Matrix(9,-2,32,-7) Matrix(281,-784,100,-279) -> Matrix(9,-2,32,-7) Matrix(4817,-13720,1140,-3247) -> Matrix(1,0,-2,1) Matrix(5879,-20104,1294,-4425) -> Matrix(1,0,0,1) Matrix(113,-392,32,-111) -> Matrix(1,0,2,1) Matrix(223,-840,30,-113) -> Matrix(7,-2,18,-5) Matrix(57,-224,14,-55) -> Matrix(9,-2,32,-7) Matrix(615,-2632,118,-505) -> Matrix(9,-2,32,-7) Matrix(169,-784,36,-167) -> Matrix(1,0,2,1) Matrix(673,-3528,128,-671) -> Matrix(25,-6,96,-23) 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): 102 Degree of the the map X: 102 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. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.