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 0/1 -10/1 -2/1 -1/1 1/0 -9/1 -2/3 -17/2 0/1 1/0 -8/1 -1/1 -15/2 0/1 1/0 -7/1 -2/1 0/1 -20/3 1/0 -13/2 -2/1 -1/1 -19/3 0/1 -6/1 -2/1 -3/2 -1/1 -23/4 -5/4 -6/5 -17/3 -10/9 -28/5 -1/1 -11/2 -1/1 -4/5 -16/3 -1/1 -1/3 -21/4 0/1 -26/5 0/1 1/1 1/0 -5/1 0/1 -24/5 -3/1 -1/1 -19/4 -2/1 -1/1 -14/3 -2/1 -1/1 1/0 -37/8 -2/1 -1/1 -23/5 -2/1 -55/12 -4/3 -1/1 -32/7 -1/1 -9/2 -2/1 1/0 -22/5 -3/1 -2/1 1/0 -13/3 -2/1 -30/7 -2/1 -9/5 -7/4 -77/18 -2/1 -47/11 -12/7 -17/4 -2/1 -3/2 -38/9 -1/1 0/1 1/0 -21/5 -2/1 -25/6 -5/3 -8/5 -4/1 -3/2 1/0 -31/8 -5/3 -8/5 -58/15 -11/7 -14/9 -3/2 -27/7 -10/7 -23/6 -2/1 -3/2 -19/5 -4/3 -34/9 -2/1 -5/3 -3/2 -49/13 -2/1 -4/3 -15/4 -2/1 -3/2 -26/7 -2/1 -3/2 -1/1 -11/3 -2/1 -29/8 -2/1 -3/2 -47/13 -8/5 -18/5 -3/2 -4/3 -1/1 -25/7 -4/3 -7/2 -2/1 -4/3 -31/9 -4/3 -86/25 -6/5 -7/6 -1/1 -55/16 -1/1 0/1 -24/7 -1/1 -41/12 -5/2 -2/1 -17/5 -8/5 -27/8 -2/1 -3/2 -10/3 -3/2 -7/5 -4/3 -23/7 -4/3 -36/11 -5/4 -13/4 -4/3 -1/1 -42/13 -4/3 -5/4 -1/1 -29/9 -6/5 -16/5 -9/7 -1/1 -19/6 -4/3 -1/1 -3/1 -2/1 -20/7 -3/2 -5/4 -37/13 0/1 -17/6 -3/2 -4/3 -14/5 -3/2 -4/3 -1/1 -39/14 -3/2 -4/3 -64/23 -1/1 -25/9 -4/3 -11/4 -4/3 -1/1 -30/11 -3/2 -4/3 -1/1 -19/7 -8/5 -84/31 -3/2 -65/24 -3/2 -34/23 -46/17 -3/2 -13/9 -10/7 -27/10 -3/2 -4/3 -8/3 -7/5 -1/1 -29/11 -18/13 -79/30 -11/8 -26/19 -50/19 -15/11 -34/25 -19/14 -71/27 -4/3 -21/8 -4/3 -97/37 -4/3 -76/29 -13/10 -55/21 -14/11 -89/34 -4/3 -5/4 -123/47 -6/5 -34/13 -3/2 -4/3 -1/1 -13/5 -4/3 -31/12 -4/3 -1/1 -18/7 -3/2 -7/5 -4/3 -59/23 -18/13 -41/16 -11/8 -4/3 -64/25 -15/11 -23/9 -4/3 -28/11 -4/3 -5/2 -4/3 -9/7 -27/11 -32/25 -49/20 -14/11 -22/9 -19/15 -24/19 -5/4 -17/7 -16/13 -29/12 -5/4 -6/5 -70/29 -5/4 -6/5 -1/1 -41/17 -4/3 -53/22 -14/11 -5/4 -65/27 -6/5 -77/32 -4/3 -12/5 -5/4 -31/13 -6/5 -50/21 -5/4 -6/5 -1/1 -19/8 -6/5 -1/1 -26/11 -4/3 -5/4 -1/1 -7/3 -4/3 -6/5 -30/13 -4/3 -5/4 -1/1 -83/36 -5/4 -26/21 -53/23 -16/13 -23/10 -6/5 -7/6 -39/17 -2/1 -55/24 -4/3 -1/1 -16/7 -1/1 -57/25 -4/3 -41/18 -3/2 -4/3 -107/47 -6/5 -66/29 -3/2 -4/3 -1/1 -25/11 -4/3 -84/37 -4/3 -59/26 -4/3 -13/10 -34/15 -4/3 -5/4 -1/1 -9/4 -4/3 -5/4 -29/13 -16/13 -20/9 -5/4 -7/6 -11/5 -6/5 -46/21 -4/3 -5/4 -1/1 -35/16 -4/3 -6/5 -59/27 -6/5 -24/11 -11/9 -1/1 -13/6 -6/5 -1/1 -28/13 -1/1 -15/7 -4/3 -2/1 -5/4 -6/5 -1/1 -17/9 -28/23 -15/8 -41/34 -6/5 -28/15 -6/5 -13/7 -6/5 -24/13 -25/21 -13/11 -59/32 -20/17 -7/6 -35/19 -6/5 -46/25 -25/21 -44/37 -19/16 -11/6 -6/5 -13/11 -31/17 -6/5 -51/28 -6/5 -13/11 -71/39 -20/17 -20/11 -7/6 -49/27 -6/5 -20/17 -29/16 -6/5 -7/6 -9/5 -8/7 -25/14 -4/3 -1/1 -91/51 -6/5 -66/37 -7/6 -8/7 -1/1 -173/97 -10/9 -280/157 -1/1 -107/60 -4/3 -1/1 -41/23 -6/5 -98/55 -7/6 -8/7 -1/1 -57/32 -8/7 -1/1 -16/9 -1/1 -55/31 -4/3 -94/53 -2/1 -3/2 -1/1 -39/22 -4/3 -5/4 -23/13 -6/5 -7/4 -6/5 -33/19 -6/5 -59/34 -6/5 -19/16 -85/49 -84/71 -196/113 -13/11 -111/64 -13/11 -98/83 -26/15 -13/11 -20/17 -7/6 -19/11 -8/7 -50/29 -5/4 -6/5 -1/1 -81/47 -6/5 -112/65 -6/5 -31/18 -6/5 -13/11 -43/25 -6/5 -55/32 -6/5 -13/11 -67/39 -6/5 -79/46 -20/17 -7/6 -12/7 -19/16 -7/6 -65/38 -6/5 -7/6 -53/31 -8/7 -41/24 -6/5 -7/6 -111/65 -6/5 -70/41 -6/5 -13/11 -7/6 -29/17 -20/17 -17/10 -34/29 -7/6 -56/33 -7/6 -39/23 -64/55 -22/13 -7/6 -15/13 -8/7 -49/29 -6/5 -8/7 -27/16 -6/5 -7/6 -59/35 -8/7 -32/19 -15/13 -1/1 -5/3 -6/5 -28/17 -7/6 -23/14 -7/6 -36/31 -41/25 -22/19 -59/36 -7/6 -36/31 -77/47 -22/19 -18/11 -7/6 -15/13 -8/7 -31/19 -8/7 -44/27 -7/6 -101/62 -15/13 -8/7 -57/35 -8/7 -70/43 -7/6 -15/13 -8/7 -13/8 -15/13 -8/7 -34/21 -7/6 -8/7 -1/1 -157/97 -10/9 -280/173 -1/1 -123/76 -6/5 -1/1 -212/131 -7/6 -89/55 -8/7 -55/34 -6/5 -1/1 -131/81 -2/1 -76/47 -5/4 -7/6 -21/13 -6/5 -8/7 -92/57 -5/4 -7/6 -71/44 -5/4 -6/5 -50/31 -6/5 -7/6 -1/1 -29/18 -7/6 -8/7 -8/5 -15/13 -1/1 -27/17 -10/9 -19/12 -6/5 -1/1 -30/19 -7/6 -8/7 -1/1 -11/7 -8/7 -36/23 -7/6 -9/8 -97/62 -8/7 -9/8 -61/39 -6/5 -86/55 -6/5 -13/11 -7/6 -25/16 -8/7 -1/1 -14/9 -7/6 -8/7 -1/1 -31/20 -8/7 -1/1 -110/71 -7/6 -22/19 -15/13 -79/51 -8/7 -48/31 -1/1 -17/11 -6/5 -54/35 -8/7 -17/15 -9/8 -37/24 -10/9 -1/1 -94/61 -2/1 -3/2 -1/1 -57/37 -4/3 -20/13 -7/6 -23/15 -8/7 -3/2 -7/6 -8/7 -22/15 -8/7 -17/15 -9/8 -19/13 -10/9 -54/37 -6/5 -7/6 -1/1 -89/61 -8/7 -124/85 -7/6 -35/24 -8/7 -16/11 -15/13 -1/1 -29/20 -7/6 -8/7 -42/29 -7/6 -15/13 -8/7 -55/38 -15/13 -8/7 -13/9 -8/7 -36/25 -7/6 -9/8 -59/41 -6/5 -23/16 -23/20 -8/7 -56/39 -8/7 -33/23 -8/7 -10/7 -8/7 -9/8 -1/1 -47/33 -12/11 -84/59 -1/1 -37/26 -4/3 -1/1 -27/19 -8/7 -17/12 -7/6 -22/19 -75/53 -38/33 -58/41 -7/6 -22/19 -15/13 -41/29 -8/7 -106/75 -6/5 -7/6 -1/1 -171/121 -36/31 -65/46 -7/6 -22/19 -24/17 -15/13 -7/5 -8/7 -32/23 -33/29 -57/41 -108/95 -196/141 -25/22 -139/100 -25/22 -192/169 -82/59 -25/22 -67/59 -42/37 -25/18 -8/7 -17/15 -18/13 -8/7 -33/29 -25/22 -65/47 -108/95 -112/81 -25/22 -47/34 -25/22 -92/81 -29/21 -8/7 -40/29 -67/59 -17/15 -11/8 -17/15 -26/23 -26/19 -17/15 -26/23 -9/8 -41/30 -26/23 -9/8 -56/41 -9/8 -15/11 -8/7 -34/25 -25/22 -42/37 -17/15 -53/39 -60/53 -19/14 -17/15 -26/23 -23/17 -26/23 -27/20 -44/39 -9/8 -4/3 -9/8 -29/22 -8/7 -9/8 -112/85 -9/8 -83/63 -118/105 -54/41 -9/8 -55/49 -46/41 -25/19 -28/25 -46/35 -9/8 -28/25 -19/17 -21/16 -28/25 -10/9 -59/45 -10/9 -38/29 -28/25 -47/42 -19/17 -131/100 -180/161 -19/17 -224/171 -19/17 -93/71 -86/77 -55/42 -19/17 -10/9 -17/13 -48/43 -47/36 -29/26 -68/61 -30/23 -39/35 -49/44 -10/9 -43/33 -10/9 -56/43 -10/9 -13/10 -10/9 -21/19 -22/17 -10/9 -11/10 -1/1 -53/41 -16/15 -84/65 -1/1 -31/24 -6/5 -1/1 -9/7 -10/9 -59/46 -26/23 -9/8 -168/131 -9/8 -109/85 -64/57 -50/39 -9/8 -19/17 -10/9 -41/32 -29/26 -10/9 -32/25 -1/1 -55/43 -28/25 -23/18 -9/8 -10/9 -14/11 -9/8 -10/9 -1/1 -33/26 -9/8 -10/9 -19/15 -8/7 -43/34 -10/9 -1/1 -24/19 -19/17 -1/1 -53/42 -11/10 -12/11 -29/23 -6/5 -5/4 -10/9 -1/1 -31/25 -10/9 -26/21 -7/6 -8/7 -1/1 -47/38 -9/8 -10/9 -68/55 -9/8 -11/10 -21/17 -8/7 -10/9 -100/81 -9/8 -11/10 -79/64 -8/7 -9/8 -58/47 -9/8 -19/17 -10/9 -37/30 -8/7 -1/1 -16/13 -17/15 -1/1 -27/22 -8/7 -9/8 -11/9 -8/7 -28/23 -9/8 -17/14 -9/8 -28/25 -23/19 -10/9 -29/24 -9/8 -28/25 -6/5 -9/8 -19/17 -10/9 -19/16 -19/17 -10/9 -32/27 -19/17 -39/35 -13/11 -10/9 -20/17 -9/8 -29/26 -27/23 -68/61 -7/6 -10/9 -22/19 -51/46 -92/83 -41/37 -15/13 -10/9 -23/20 -31/28 -52/47 -54/47 -10/9 -41/37 -31/28 -31/27 -52/47 -8/7 -21/19 -17/15 -10/9 -9/8 -54/49 -11/10 -10/9 -11/10 -34/31 -23/21 -11/10 -12/11 -1/1 -1/1 -12/11 0/1 -1/1 1/1 -12/13 11/10 -1/1 -12/13 10/9 -23/25 -34/37 -11/12 9/8 -11/12 -54/59 17/15 -10/11 8/7 -21/23 15/13 -10/11 7/6 -10/11 20/17 -29/32 -9/10 13/11 -10/11 19/16 -10/11 -19/21 6/5 -10/11 -19/21 -9/10 23/19 -10/11 17/14 -28/31 -9/10 28/23 -9/10 11/9 -8/9 16/13 -1/1 -17/19 21/17 -10/11 -8/9 26/21 -1/1 -8/9 -7/8 5/4 -1/1 -10/11 24/19 -1/1 -19/21 19/15 -8/9 14/11 -1/1 -10/11 -9/10 37/29 -8/9 23/18 -10/11 -9/10 55/43 -28/31 32/25 -1/1 9/7 -10/11 22/17 -1/1 -11/12 -10/11 13/10 -21/23 -10/11 30/23 -10/11 -49/54 -39/43 77/59 -10/11 -68/75 47/36 -68/75 -29/32 17/13 -48/53 38/29 -19/21 -47/52 -28/31 21/16 -10/11 -28/31 25/19 -28/31 4/3 -9/10 31/23 -8/9 58/43 -10/11 -19/21 -9/10 27/20 -9/10 -44/49 23/17 -26/29 19/14 -26/29 -17/19 34/25 -17/19 -42/47 -25/28 49/36 -8/9 15/11 -8/9 26/19 -9/10 -26/29 -17/19 11/8 -26/29 -17/19 29/21 -8/9 47/34 -92/103 -25/28 18/13 -25/28 -33/37 -8/9 25/18 -17/19 -8/9 7/5 -8/9 31/22 -8/9 -31/35 86/61 -54/61 -77/87 -23/26 55/39 -84/95 24/17 -15/17 41/29 -8/9 17/12 -22/25 -7/8 27/19 -8/9 10/7 -1/1 -9/10 -8/9 23/16 -8/9 -23/26 36/25 -9/10 -7/8 13/9 -8/9 42/29 -8/9 -15/17 -7/8 29/20 -8/9 -7/8 16/11 -1/1 -15/17 19/13 -10/11 3/2 -8/9 -7/8 20/13 -7/8 37/24 -1/1 -10/11 17/11 -6/7 14/9 -1/1 -8/9 -7/8 39/25 -6/7 64/41 -1/1 25/16 -1/1 -8/9 11/7 -8/9 30/19 -1/1 -8/9 -7/8 19/12 -1/1 -6/7 84/53 -1/1 65/41 -14/15 46/29 -1/1 -11/12 -10/11 27/17 -10/11 8/5 -1/1 -15/17 29/18 -8/9 -7/8 79/49 -6/7 50/31 -1/1 -7/8 -6/7 71/44 -6/7 -5/6 21/13 -8/9 -6/7 97/60 -6/7 -5/6 76/47 -7/8 -5/6 55/34 -1/1 -6/7 89/55 -8/9 123/76 -1/1 -6/7 34/21 -1/1 -8/9 -7/8 13/8 -8/9 -15/17 31/19 -8/9 18/11 -8/9 -15/17 -7/8 59/36 -36/41 -7/8 41/25 -22/25 64/39 -29/33 23/14 -36/41 -7/8 28/17 -7/8 5/3 -6/7 27/16 -7/8 -6/7 49/29 -8/9 -6/7 22/13 -8/9 -15/17 -7/8 17/10 -7/8 -34/39 29/17 -20/23 70/41 -7/8 -13/15 -6/7 41/24 -7/8 -6/7 53/31 -8/9 65/38 -7/8 -6/7 77/45 -20/23 -6/7 12/7 -7/8 -19/22 31/18 -13/15 -6/7 50/29 -1/1 -6/7 -5/6 19/11 -8/9 26/15 -7/8 -20/23 -13/15 7/4 -6/7 30/17 -1/1 -5/6 -4/5 83/47 -12/13 53/30 -7/8 -6/7 23/13 -6/7 39/22 -5/6 -4/5 55/31 -4/5 16/9 -1/1 57/32 -1/1 -8/9 41/23 -6/7 107/60 -1/1 -4/5 66/37 -1/1 -8/9 -7/8 25/14 -1/1 -4/5 84/47 -1/1 59/33 -14/15 34/19 -1/1 -9/10 -8/9 9/5 -8/9 29/16 -7/8 -6/7 20/11 -7/8 11/6 -13/15 -6/7 46/25 -19/22 -44/51 -25/29 35/19 -6/7 59/32 -7/8 -20/23 24/13 -13/15 -25/29 13/7 -6/7 28/15 -6/7 15/8 -6/7 -41/48 2/1 -1/1 -6/7 -5/6 17/8 -6/7 -5/6 15/7 -4/5 28/13 -1/1 13/6 -1/1 -6/7 24/11 -1/1 -11/13 59/27 -6/7 35/16 -6/7 -4/5 46/21 -1/1 -5/6 -4/5 11/5 -6/7 31/14 -1/1 -6/7 51/23 -4/5 71/32 -7/8 -6/7 20/9 -7/8 -5/6 49/22 -6/7 29/13 -16/19 9/4 -5/6 -4/5 25/11 -4/5 91/40 -4/5 -2/3 66/29 -1/1 -4/5 -3/4 173/76 -1/1 0/1 280/123 -1/1 107/47 -6/7 41/18 -4/5 -3/4 98/43 -1/1 -4/5 -3/4 57/25 -4/5 16/7 -1/1 55/24 -1/1 -4/5 94/41 -1/1 -7/8 -6/7 39/17 -2/3 23/10 -7/8 -6/7 7/3 -6/7 -4/5 33/14 -7/8 -6/7 59/25 -16/19 85/36 -26/31 -5/6 196/83 -5/6 111/47 -34/41 26/11 -1/1 -5/6 -4/5 19/8 -1/1 -6/7 50/21 -1/1 -6/7 -5/6 81/34 -13/15 -6/7 112/47 -6/7 31/13 -6/7 43/18 -6/7 -11/13 55/23 -6/7 67/28 -6/7 -11/13 79/33 -16/19 12/5 -5/6 65/27 -6/7 53/22 -5/6 -14/17 41/17 -4/5 111/46 -1/1 -6/7 70/29 -1/1 -6/7 -5/6 29/12 -6/7 -5/6 17/7 -16/19 56/23 -5/6 39/16 -5/6 -54/65 22/9 -5/6 -24/29 -19/23 49/20 -14/17 27/11 -32/39 59/24 -22/27 -13/16 32/13 -1/1 -9/11 5/2 -9/11 -4/5 28/11 -4/5 23/9 -4/5 41/16 -4/5 -11/14 59/23 -18/23 77/30 -4/5 -18/23 18/7 -4/5 -7/9 -3/4 31/12 -1/1 -4/5 44/17 -5/6 -3/4 101/39 -4/5 57/22 -1/1 -4/5 70/27 -1/1 -5/6 -4/5 13/5 -4/5 34/13 -1/1 -4/5 -3/4 157/60 -1/1 -2/3 280/107 -1/1 123/47 -6/7 212/81 -7/8 -5/6 89/34 -5/6 -4/5 55/21 -14/17 131/50 -9/11 -40/49 76/29 -13/16 21/8 -4/5 92/35 -27/34 71/27 -4/5 50/19 -19/24 -34/43 -15/19 29/11 -18/23 8/3 -1/1 -7/9 27/10 -4/5 -3/4 19/7 -8/11 30/11 -1/1 -4/5 -3/4 11/4 -1/1 -4/5 36/13 -3/4 97/35 -2/3 61/22 -1/1 -4/5 86/31 -1/1 -2/3 -1/2 25/9 -4/5 14/5 -1/1 -4/5 -3/4 31/11 -4/5 110/39 -3/4 -5/7 -2/3 79/28 -4/5 -3/4 48/17 -1/1 17/6 -4/5 -3/4 54/19 -1/1 -4/5 -3/4 37/13 0/1 94/33 -1/1 -7/8 -6/7 57/20 -1/1 -4/5 20/7 -5/6 -3/4 23/8 -4/5 -11/14 3/1 -2/3 22/7 -1/1 -8/9 -7/8 19/6 -1/1 -4/5 54/17 -6/7 -11/13 -5/6 89/28 -5/6 -4/5 124/39 -7/8 -5/6 35/11 -6/7 -4/5 16/5 -1/1 -9/11 29/9 -6/7 42/13 -1/1 -5/6 -4/5 55/17 -4/5 13/4 -1/1 -4/5 36/11 -5/6 59/18 -5/6 -4/5 23/7 -4/5 56/17 -4/5 33/10 -4/5 -19/24 10/3 -4/5 -7/9 -3/4 47/14 -28/37 -3/4 84/25 -3/4 37/11 -14/19 27/8 -3/4 -2/3 17/5 -8/11 75/22 -5/7 -12/17 58/17 -7/10 -9/13 -2/3 41/12 -2/3 -5/8 106/31 -2/3 -3/5 -1/2 171/50 -1/2 -2/5 65/19 -2/3 24/7 -1/1 7/2 -4/5 -2/3 32/9 -1/1 57/16 -1/1 0/1 196/55 -1/1 139/39 -14/15 82/23 -1/1 -7/8 -6/7 25/7 -4/5 18/5 -1/1 -4/5 -3/4 65/18 -16/21 -3/4 112/31 -3/4 47/13 -8/11 29/8 -3/4 -2/3 40/11 -1/1 -5/7 11/3 -2/3 26/7 -1/1 -3/4 -2/3 41/11 -4/5 56/15 -3/4 15/4 -3/4 -2/3 34/9 -3/4 -5/7 -2/3 53/14 -2/3 -1/2 19/5 -4/5 23/6 -3/4 -2/3 27/7 -10/13 4/1 -3/4 -1/2 29/7 -10/13 112/27 -3/4 83/20 -3/4 -32/43 54/13 -3/4 -14/19 -11/15 25/6 -8/11 -5/7 46/11 -5/7 -12/17 -7/10 21/5 -2/3 59/14 -4/7 -1/2 38/9 -1/1 -1/2 0/1 131/31 -6/5 224/53 -1/1 93/22 -1/1 -8/9 55/13 -2/3 17/4 -3/4 -2/3 47/11 -12/17 30/7 -7/10 -9/13 -2/3 43/10 -21/31 -2/3 56/13 -2/3 13/3 -2/3 22/5 -2/3 -3/5 -1/2 53/12 -3/4 -2/3 84/19 -2/3 31/7 -2/3 9/2 -2/3 -1/2 59/13 -4/7 168/37 -1/2 109/24 -1/2 -6/13 50/11 -1/2 -2/5 -1/3 41/9 0/1 32/7 -1/1 55/12 -1/1 -4/5 23/5 -2/3 14/3 -1/1 -2/3 -1/2 33/7 -2/3 19/4 -1/1 -2/3 43/9 -2/3 24/5 -1/1 -3/5 53/11 -2/3 29/6 -1/2 0/1 5/1 0/1 31/6 -1/1 -2/3 26/5 -1/2 -1/3 0/1 47/9 -2/3 68/13 -1/2 21/4 0/1 100/19 1/0 79/15 0/1 58/11 -2/1 -1/1 1/0 37/7 -2/3 16/3 -1/1 1/1 27/5 -2/1 11/2 -4/3 -1/1 28/5 -1/1 17/3 -10/11 23/4 -6/7 -5/6 29/5 -14/17 6/1 -1/1 -3/4 -2/3 19/3 0/1 32/5 -1/1 -3/5 13/2 -1/1 -2/3 20/3 -1/2 27/4 -2/3 -1/2 7/1 -2/3 0/1 22/3 -1/2 -1/3 0/1 15/2 -1/2 0/1 23/3 0/1 54/7 1/1 2/1 1/0 31/4 -1/1 0/1 8/1 -1/1 17/2 -1/2 0/1 9/1 -2/1 10/1 -1/1 -2/3 -1/2 11/1 0/1 1/0 -1/1 0/1 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(3,4,-4,-5) Matrix(57,616,26,281) -> Matrix(5,6,-6,-7) Matrix(111,1064,70,671) -> Matrix(11,12,-12,-13) Matrix(111,952,26,223) -> Matrix(3,-2,-4,3) Matrix(113,952,40,337) -> Matrix(3,4,-4,-5) Matrix(169,1288,-66,-503) -> Matrix(11,-4,-8,3) Matrix(113,840,-30,-223) -> Matrix(3,2,-2,-1) Matrix(167,1120,-92,-617) -> Matrix(7,20,-6,-17) Matrix(111,728,34,223) -> Matrix(5,6,-6,-7) Matrix(167,1064,-132,-841) -> Matrix(9,8,-8,-7) Matrix(169,1064,98,617) -> Matrix(7,8,-8,-9) Matrix(279,1624,-106,-617) -> Matrix(49,64,-36,-47) Matrix(225,1288,98,561) -> Matrix(11,12,-12,-13) Matrix(169,952,30,169) -> Matrix(19,20,-20,-21) Matrix(111,616,20,111) -> Matrix(9,8,-8,-7) Matrix(113,616,-82,-447) -> Matrix(59,42,-52,-37) Matrix(169,896,-116,-615) -> Matrix(9,8,-8,-7) Matrix(505,2632,-118,-615) -> Matrix(7,2,-4,-1) Matrix(391,2016,-250,-1289) -> Matrix(7,6,-6,-5) Matrix(57,280,-34,-167) -> Matrix(7,6,-6,-5) Matrix(223,1064,-188,-897) -> Matrix(29,48,-26,-43) Matrix(167,784,-36,-169) -> Matrix(1,0,0,1) Matrix(279,1288,206,951) -> Matrix(9,-8,-10,9) Matrix(1343,6160,830,3807) -> Matrix(9,10,-10,-11) Matrix(783,3584,220,1007) -> Matrix(3,4,-4,-5) Matrix(503,2296,-356,-1625) -> Matrix(7,-8,-6,7) Matrix(113,504,-50,-223) -> Matrix(5,14,-4,-11) Matrix(167,728,64,279) -> Matrix(3,10,-4,-13) Matrix(391,1680,-300,-1289) -> Matrix(89,168,-80,-151) Matrix(2017,8624,-838,-3583) -> Matrix(11,18,-8,-13) Matrix(223,952,26,111) -> Matrix(1,2,-4,-7) Matrix(727,3080,-410,-1737) -> Matrix(3,2,-2,-1) Matrix(783,3304,-478,-2017) -> Matrix(7,-8,-6,7) Matrix(671,2800,-376,-1569) -> Matrix(17,28,-14,-23) Matrix(55,224,-14,-57) -> Matrix(1,0,0,1) Matrix(897,3472,116,449) -> Matrix(5,8,-2,-3) Matrix(1623,6272,-1232,-4761) -> Matrix(173,264,-154,-235) Matrix(335,1288,58,223) -> Matrix(7,8,-8,-9) Matrix(337,1288,264,1009) -> Matrix(11,12,-12,-13) Matrix(281,1064,-192,-727) -> Matrix(7,6,-6,-5) Matrix(727,2744,430,1623) -> Matrix(9,10,-10,-11) Matrix(391,1456,-286,-1065) -> Matrix(43,60,-38,-53) Matrix(167,616,106,391) -> Matrix(9,10,-10,-11) Matrix(169,616,-138,-503) -> Matrix(7,6,-6,-5) Matrix(449,1624,248,897) -> Matrix(19,32,-22,-37) Matrix(559,2016,-404,-1457) -> Matrix(91,124,-80,-109) Matrix(281,1008,172,617) -> Matrix(37,52,-42,-59) Matrix(111,392,-32,-113) -> Matrix(1,0,0,1) Matrix(1399,4816,504,1735) -> Matrix(7,8,-8,-9) Matrix(3191,10976,-1840,-6329) -> Matrix(85,98,-72,-83) Matrix(897,3080,196,673) -> Matrix(3,4,-4,-5) Matrix(671,2296,-524,-1793) -> Matrix(9,8,-8,-7) Matrix(279,952,-148,-505) -> Matrix(29,52,-24,-43) Matrix(281,952,116,393) -> Matrix(7,8,-8,-9) Matrix(449,1512,-166,-559) -> Matrix(11,18,-8,-13) Matrix(169,560,-118,-391) -> Matrix(43,60,-38,-53) Matrix(393,1288,-256,-839) -> Matrix(53,68,-46,-59) Matrix(223,728,34,111) -> Matrix(5,6,-6,-7) Matrix(449,1456,-276,-895) -> Matrix(53,68,-46,-59) Matrix(1007,3248,590,1903) -> Matrix(45,58,-52,-67) Matrix(279,896,52,167) -> Matrix(3,4,-4,-5) Matrix(281,896,-228,-727) -> Matrix(5,4,-4,-3) Matrix(337,1064,-248,-783) -> Matrix(77,94,-68,-83) Matrix(449,1288,-312,-895) -> Matrix(5,4,-4,-3) Matrix(1905,5432,-1178,-3359) -> Matrix(3,2,-2,-1) Matrix(671,1904,-474,-1345) -> Matrix(23,38,-20,-33) Matrix(279,784,-100,-281) -> Matrix(1,0,0,1) Matrix(503,1400,60,167) -> Matrix(3,4,-4,-5) Matrix(785,2184,-684,-1903) -> Matrix(11,32,-10,-29) Matrix(223,616,-122,-337) -> Matrix(33,46,-28,-39) Matrix(225,616,164,449) -> Matrix(25,42,-28,-47) Matrix(391,1064,226,615) -> Matrix(19,32,-22,-37) Matrix(1735,4704,516,1399) -> Matrix(43,66,-58,-89) Matrix(3473,9408,1034,2801) -> Matrix(125,186,-166,-247) Matrix(393,1064,352,953) -> Matrix(145,212,-158,-231) Matrix(167,448,104,279) -> Matrix(37,52,-42,-59) Matrix(169,448,106,281) -> Matrix(37,52,-42,-59) Matrix(1063,2800,276,727) -> Matrix(41,56,-52,-71) Matrix(3641,9576,-2576,-6775) -> Matrix(91,124,-80,-109) Matrix(1343,3528,-512,-1345) -> Matrix(119,160,-90,-121) Matrix(4145,10864,1496,3921) -> Matrix(29,38,-42,-55) Matrix(2073,5432,-1346,-3527) -> Matrix(39,50,-32,-41) Matrix(2353,6160,1840,4817) -> Matrix(13,14,-14,-15) Matrix(5991,15680,-3488,-9129) -> Matrix(59,72,-50,-61) Matrix(3639,9520,-2248,-5881) -> Matrix(5,4,-4,-3) Matrix(279,728,64,167) -> Matrix(7,10,-12,-17) Matrix(671,1736,-390,-1009) -> Matrix(33,46,-28,-39) Matrix(391,1008,282,727) -> Matrix(59,76,-66,-85) Matrix(1287,3304,-982,-2521) -> Matrix(197,272,-176,-243) Matrix(1791,4592,1048,2687) -> Matrix(27,38,-32,-45) Matrix(2407,6160,-1554,-3977) -> Matrix(91,124,-80,-109) Matrix(505,1288,198,505) -> Matrix(137,184,-172,-231) Matrix(111,280,44,111) -> Matrix(55,72,-68,-89) Matrix(113,280,-90,-223) -> Matrix(67,86,-60,-77) Matrix(1119,2744,502,1231) -> Matrix(163,208,-192,-245) Matrix(1121,2744,824,2017) -> Matrix(307,390,-344,-437) Matrix(505,1232,-298,-727) -> Matrix(165,208,-142,-179) Matrix(393,952,116,281) -> Matrix(7,8,-8,-9) Matrix(1345,3248,928,2241) -> Matrix(67,82,-76,-93) Matrix(2855,6888,-1602,-3865) -> Matrix(3,2,-2,-1) Matrix(1905,4592,1162,2801) -> Matrix(67,82,-76,-93) Matrix(1791,4312,-1396,-3361) -> Matrix(5,4,-4,-3) Matrix(4143,9968,-2840,-6833) -> Matrix(53,68,-46,-59) Matrix(727,1736,-446,-1065) -> Matrix(3,2,-2,-1) Matrix(2351,5600,-1364,-3249) -> Matrix(1,0,0,1) Matrix(447,1064,376,895) -> Matrix(85,104,-94,-115) Matrix(449,1064,284,673) -> Matrix(11,12,-12,-13) Matrix(167,392,-72,-169) -> Matrix(1,0,0,1) Matrix(4759,10976,-3424,-7897) -> Matrix(243,310,-214,-273) Matrix(2575,5936,534,1231) -> Matrix(21,26,-38,-47) Matrix(559,1288,194,447) -> Matrix(31,38,-40,-49) Matrix(561,1288,98,225) -> Matrix(11,12,-12,-13) Matrix(1343,3080,-1026,-2353) -> Matrix(67,86,-60,-77) Matrix(783,1792,440,1007) -> Matrix(11,12,-12,-13) Matrix(785,1792,442,1009) -> Matrix(7,8,-8,-9) Matrix(3023,6888,-1770,-4033) -> Matrix(33,46,-28,-39) Matrix(4255,9688,1918,4367) -> Matrix(9,10,-10,-11) Matrix(8119,18480,-4552,-10361) -> Matrix(5,4,-4,-3) Matrix(1231,2800,-936,-2129) -> Matrix(29,48,-26,-43) Matrix(2071,4704,468,1063) -> Matrix(19,26,-30,-41) Matrix(4145,9408,938,2129) -> Matrix(29,38,-42,-55) Matrix(1679,3808,444,1007) -> Matrix(17,22,-24,-31) Matrix(727,1624,526,1175) -> Matrix(293,360,-328,-403) Matrix(503,1120,-428,-953) -> Matrix(105,124,-94,-111) Matrix(279,616,-178,-393) -> Matrix(3,2,-2,-1) Matrix(281,616,26,57) -> Matrix(5,6,-6,-7) Matrix(2967,6496,1304,2855) -> Matrix(7,8,-8,-9) Matrix(3023,6608,1178,2575) -> Matrix(17,24,-22,-31) Matrix(1231,2688,256,559) -> Matrix(13,16,-22,-27) Matrix(617,1344,-488,-1063) -> Matrix(5,4,-4,-3) Matrix(337,728,156,337) -> Matrix(11,12,-12,-13) Matrix(391,840,182,391) -> Matrix(7,8,-8,-9) Matrix(447,952,-316,-673) -> Matrix(53,68,-46,-59) Matrix(503,952,-326,-617) -> Matrix(77,94,-68,-83) Matrix(449,840,240,449) -> Matrix(409,492,-478,-575) Matrix(391,728,210,391) -> Matrix(311,372,-362,-433) Matrix(393,728,-332,-615) -> Matrix(305,364,-274,-327) Matrix(1791,3304,728,1343) -> Matrix(89,106,-110,-131) Matrix(1793,3304,426,785) -> Matrix(7,8,-8,-9) Matrix(1399,2576,334,615) -> Matrix(67,80,-98,-117) Matrix(335,616,304,559) -> Matrix(137,162,-148,-175) Matrix(953,1736,-768,-1399) -> Matrix(105,124,-94,-111) Matrix(5321,9688,2984,5433) -> Matrix(49,58,-60,-71) Matrix(4369,7952,1662,3025) -> Matrix(435,512,-548,-645) Matrix(1513,2744,896,1625) -> Matrix(71,84,-82,-97) Matrix(897,1624,248,449) -> Matrix(27,32,-38,-45) Matrix(281,504,-218,-391) -> Matrix(3,2,-2,-1) Matrix(3641,6496,1978,3529) -> Matrix(131,156,-152,-181) Matrix(43959,78400,19310,34439) -> Matrix(15,16,-16,-17) Matrix(43961,78400,19312,34441) -> Matrix(3,4,-4,-5) Matrix(7223,12880,2606,4647) -> Matrix(7,8,-8,-9) Matrix(5375,9576,2074,3695) -> Matrix(11,12,-12,-13) Matrix(1007,1792,440,783) -> Matrix(11,12,-12,-13) Matrix(1009,1792,442,785) -> Matrix(7,8,-8,-9) Matrix(5935,10528,-3852,-6833) -> Matrix(1,0,0,1) Matrix(727,1288,600,1063) -> Matrix(85,104,-94,-115) Matrix(223,392,-128,-225) -> Matrix(59,72,-50,-61) Matrix(1903,3304,580,1007) -> Matrix(89,106,-110,-131) Matrix(3809,6608,1550,2689) -> Matrix(287,340,-352,-417) Matrix(25311,43904,7102,12319) -> Matrix(225,266,-236,-279) Matrix(18985,32928,5328,9241) -> Matrix(83,98,-72,-85) Matrix(615,1064,226,391) -> Matrix(27,32,-38,-45) Matrix(617,1064,98,169) -> Matrix(7,8,-8,-9) Matrix(7279,12544,3054,5263) -> Matrix(109,132,-128,-155) Matrix(7281,12544,3056,5265) -> Matrix(131,156,-152,-181) Matrix(1791,3080,-1238,-2129) -> Matrix(163,194,-142,-169) Matrix(391,672,32,55) -> Matrix(5,6,-16,-19) Matrix(5153,8848,-4174,-7167) -> Matrix(105,124,-94,-111) Matrix(2913,4984,-2356,-4031) -> Matrix(105,124,-94,-111) Matrix(8513,14560,-6024,-10303) -> Matrix(167,196,-144,-169) Matrix(2687,4592,1048,1791) -> Matrix(31,38,-40,-49) Matrix(4985,8512,1542,2633) -> Matrix(49,58,-60,-71) Matrix(1903,3248,590,1007) -> Matrix(49,58,-60,-71) Matrix(559,952,394,671) -> Matrix(71,84,-82,-97) Matrix(1847,3136,758,1287) -> Matrix(469,548,-564,-659) Matrix(1849,3136,760,1289) -> Matrix(371,432,-444,-517) Matrix(729,1232,100,169) -> Matrix(7,8,-8,-9) Matrix(895,1512,132,223) -> Matrix(7,8,-8,-9) Matrix(3919,6608,1660,2799) -> Matrix(131,152,-156,-181) Matrix(1961,3304,898,1513) -> Matrix(71,82,-84,-97) Matrix(169,280,102,169) -> Matrix(71,84,-82,-97) Matrix(783,1288,476,783) -> Matrix(433,504,-494,-575) Matrix(785,1288,-682,-1119) -> Matrix(649,752,-586,-679) Matrix(2801,4592,1162,1905) -> Matrix(71,82,-84,-97) Matrix(4033,6608,2188,3585) -> Matrix(97,112,-110,-127) Matrix(617,1008,172,281) -> Matrix(45,52,-58,-67) Matrix(16465,26824,-10174,-16575) -> Matrix(85,98,-72,-83) Matrix(447,728,412,671) -> Matrix(149,172,-162,-187) Matrix(5881,9576,2580,4201) -> Matrix(45,52,-58,-67) Matrix(449,728,346,561) -> Matrix(17,18,-18,-19) Matrix(48439,78400,18510,29959) -> Matrix(15,16,-16,-17) Matrix(48441,78400,18512,29961) -> Matrix(7,8,-8,-9) Matrix(18479,29904,-12666,-20497) -> Matrix(1,0,0,1) Matrix(3807,6160,830,1343) -> Matrix(9,10,-10,-11) Matrix(7617,12320,-5816,-9407) -> Matrix(105,124,-94,-111) Matrix(2183,3528,-1352,-2185) -> Matrix(1,0,0,1) Matrix(4927,7952,2220,3583) -> Matrix(11,12,-12,-13) Matrix(3471,5600,-2708,-4369) -> Matrix(105,124,-94,-111) Matrix(1007,1624,-834,-1345) -> Matrix(105,124,-94,-111) Matrix(279,448,104,167) -> Matrix(45,52,-58,-67) Matrix(281,448,106,169) -> Matrix(45,52,-58,-67) Matrix(953,1512,-670,-1063) -> Matrix(1,2,-2,-3) Matrix(673,1064,284,449) -> Matrix(11,12,-12,-13) Matrix(391,616,106,167) -> Matrix(9,10,-10,-11) Matrix(6943,10864,4294,6719) -> Matrix(13,14,-14,-15) Matrix(8233,12880,3616,5657) -> Matrix(11,12,-12,-13) Matrix(3081,4816,2186,3417) -> Matrix(209,240,-236,-271) Matrix(503,784,-324,-505) -> Matrix(1,0,0,1) Matrix(2855,4424,686,1063) -> Matrix(27,32,-38,-45) Matrix(8567,13272,1626,2519) -> Matrix(7,8,6,7) Matrix(615,952,542,839) -> Matrix(115,136,-126,-149) Matrix(1961,3024,618,953) -> Matrix(13,14,-14,-15) Matrix(8903,13720,-6796,-10473) -> Matrix(9,-10,-8,9) Matrix(841,1288,476,729) -> Matrix(13,14,-14,-15) Matrix(839,1232,190,279) -> Matrix(9,10,-10,-11) Matrix(2071,3024,728,1063) -> Matrix(9,10,-10,-11) Matrix(4145,6048,538,785) -> Matrix(7,8,6,7) Matrix(1119,1624,308,447) -> Matrix(9,10,-10,-11) Matrix(2241,3248,928,1345) -> Matrix(71,82,-84,-97) Matrix(5879,8512,2436,3527) -> Matrix(71,82,-84,-97) Matrix(505,728,428,617) -> Matrix(123,142,-136,-157) Matrix(2297,3304,974,1401) -> Matrix(71,82,-84,-97) Matrix(2183,3136,662,951) -> Matrix(213,244,-268,-307) Matrix(2185,3136,664,953) -> Matrix(235,268,-292,-333) Matrix(393,560,40,57) -> Matrix(9,10,-10,-11) Matrix(6607,9408,4168,5935) -> Matrix(25,26,-26,-27) Matrix(3305,4704,2086,2969) -> Matrix(9,10,-10,-11) Matrix(671,952,394,559) -> Matrix(71,84,-82,-97) Matrix(4591,6496,870,1231) -> Matrix(7,8,6,7) Matrix(14225,20104,-11094,-15679) -> Matrix(105,124,-94,-111) Matrix(279,392,-200,-281) -> Matrix(335,384,-294,-337) Matrix(2577,3584,2014,2801) -> Matrix(239,272,-268,-305) Matrix(23687,32928,10030,13943) -> Matrix(1223,1390,-1472,-1673) Matrix(31585,43904,13376,18593) -> Matrix(1417,1610,-1696,-1927) Matrix(2297,3192,444,617) -> Matrix(37,42,-52,-59) Matrix(727,1008,282,391) -> Matrix(67,76,-82,-93) Matrix(9071,12544,2510,3471) -> Matrix(461,524,-622,-707) Matrix(9073,12544,2512,3473) -> Matrix(595,676,-786,-893) Matrix(1175,1624,526,727) -> Matrix(317,360,-376,-427) Matrix(1177,1624,366,505) -> Matrix(97,110,-112,-127) Matrix(449,616,164,225) -> Matrix(37,42,-52,-59) Matrix(2295,3136,614,839) -> Matrix(85,96,-116,-131) Matrix(2297,3136,616,841) -> Matrix(11,12,-12,-13) Matrix(617,840,-534,-727) -> Matrix(137,158,-124,-143) Matrix(2801,3808,1566,2129) -> Matrix(157,178,-172,-195) Matrix(785,1064,166,225) -> Matrix(7,8,-22,-25) Matrix(2073,2800,1286,1737) -> Matrix(209,236,-240,-271) Matrix(167,224,-126,-169) -> Matrix(287,324,-256,-289) Matrix(9519,12544,2294,3023) -> Matrix(277,312,-372,-419) Matrix(9521,12544,2296,3025) -> Matrix(395,444,-524,-589) Matrix(3361,4424,1192,1569) -> Matrix(107,120,-140,-157) Matrix(1961,2576,896,1177) -> Matrix(93,104,-110,-123) Matrix(2519,3304,1152,1511) -> Matrix(93,104,-110,-123) Matrix(38303,50176,9062,11871) -> Matrix(297,332,-314,-351) Matrix(38305,50176,9064,11873) -> Matrix(179,200,-162,-181) Matrix(729,952,644,841) -> Matrix(733,818,-802,-895) Matrix(2017,2632,-1630,-2127) -> Matrix(289,322,-254,-283) Matrix(2407,3136,558,727) -> Matrix(205,228,-312,-347) Matrix(2409,3136,560,729) -> Matrix(227,252,-336,-373) Matrix(561,728,346,449) -> Matrix(17,18,-18,-19) Matrix(953,1232,304,393) -> Matrix(17,18,-18,-19) Matrix(7279,9408,4072,5263) -> Matrix(29,30,-30,-31) Matrix(3641,4704,2038,2633) -> Matrix(9,10,-10,-11) Matrix(22007,28224,4846,6215) -> Matrix(71,80,-150,-169) Matrix(22009,28224,4848,6217) -> Matrix(89,100,-170,-191) Matrix(2407,3080,1706,2183) -> Matrix(97,112,-110,-127) Matrix(4817,6160,1840,2353) -> Matrix(13,14,-14,-15) Matrix(615,784,-484,-617) -> Matrix(1,0,0,1) Matrix(839,1064,220,279) -> Matrix(11,12,-12,-13) Matrix(2129,2688,1154,1457) -> Matrix(123,136,-142,-157) Matrix(4705,5936,2664,3361) -> Matrix(17,18,-18,-19) Matrix(2575,3192,722,895) -> Matrix(13,14,-14,-15) Matrix(2855,3528,-2312,-2857) -> Matrix(1,0,0,1) Matrix(10753,13272,3812,4705) -> Matrix(11,12,-12,-13) Matrix(5265,6496,1544,1905) -> Matrix(47,52,-66,-73) Matrix(729,896,502,617) -> Matrix(15,16,-16,-17) Matrix(505,616,414,505) -> Matrix(127,144,-142,-161) Matrix(783,952,644,783) -> Matrix(449,504,-498,-559) Matrix(1063,1288,600,727) -> Matrix(93,104,-110,-123) Matrix(1065,1288,788,953) -> Matrix(127,144,-142,-161) Matrix(895,1064,376,447) -> Matrix(93,104,-110,-123) Matrix(617,728,428,505) -> Matrix(127,142,-144,-161) Matrix(1289,1512,526,617) -> Matrix(571,636,-694,-773) Matrix(1063,1232,434,503) -> Matrix(689,764,-836,-927) Matrix(5263,6048,1656,1903) -> Matrix(123,136,-142,-157) Matrix(3023,3472,2242,2575) -> Matrix(199,220,-218,-241) Matrix(1233,1400,790,897) -> Matrix(123,136,-142,-157) Matrix(841,952,644,729) -> Matrix(741,818,-818,-903) Matrix(503,560,150,167) -> Matrix(133,146,-174,-191) Matrix(559,616,304,335) -> Matrix(149,162,-172,-187) Matrix(617,672,258,281) -> Matrix(115,126,-136,-149) Matrix(1,0,2,1) -> Matrix(23,24,-24,-25) Matrix(1119,-1288,682,-785) -> Matrix(825,752,-938,-855) Matrix(727,-840,534,-617) -> Matrix(173,158,-196,-179) Matrix(953,-1120,428,-503) -> Matrix(137,124,-158,-143) Matrix(897,-1064,188,-223) -> Matrix(53,48,-74,-67) Matrix(1345,-1624,834,-1007) -> Matrix(137,124,-158,-143) Matrix(503,-616,138,-169) -> Matrix(7,6,-6,-5) Matrix(727,-896,228,-281) -> Matrix(5,4,-4,-3) Matrix(2127,-2632,1630,-2017) -> Matrix(361,322,-398,-355) Matrix(1625,-2016,586,-727) -> Matrix(7,6,-6,-5) Matrix(223,-280,90,-113) -> Matrix(95,86,-116,-105) Matrix(841,-1064,132,-167) -> Matrix(9,8,-8,-7) Matrix(617,-784,484,-615) -> Matrix(1,0,0,1) Matrix(1793,-2296,524,-671) -> Matrix(9,8,-8,-7) Matrix(391,-504,218,-281) -> Matrix(3,2,-2,-1) Matrix(1289,-1680,300,-391) -> Matrix(185,168,-272,-247) Matrix(6607,-8624,3862,-5041) -> Matrix(717,650,-824,-747) Matrix(2353,-3080,1026,-1343) -> Matrix(95,86,-116,-105) Matrix(2521,-3304,982,-1287) -> Matrix(301,272,-384,-347) Matrix(2129,-2800,936,-1231) -> Matrix(53,48,-74,-67) Matrix(169,-224,126,-167) -> Matrix(359,324,-400,-361) Matrix(4649,-6272,1120,-1511) -> Matrix(173,156,-234,-211) Matrix(783,-1064,248,-337) -> Matrix(105,94,-124,-111) Matrix(1065,-1456,286,-391) -> Matrix(67,60,-86,-77) Matrix(447,-616,82,-113) -> Matrix(47,42,-28,-25) Matrix(1457,-2016,404,-559) -> Matrix(139,124,-176,-157) Matrix(281,-392,200,-279) -> Matrix(431,384,-486,-433) Matrix(7785,-10976,3296,-4647) -> Matrix(409,362,-496,-439) Matrix(1625,-2296,356,-503) -> Matrix(9,8,-26,-23) Matrix(673,-952,316,-447) -> Matrix(77,68,-94,-83) Matrix(1063,-1512,670,-953) -> Matrix(1,2,-2,-3) Matrix(391,-560,118,-169) -> Matrix(67,60,-86,-77) Matrix(895,-1288,312,-449) -> Matrix(5,4,-4,-3) Matrix(1007,-1456,388,-561) -> Matrix(77,68,-94,-83) Matrix(615,-896,116,-169) -> Matrix(9,8,-8,-7) Matrix(727,-1064,192,-281) -> Matrix(7,6,-6,-5) Matrix(839,-1288,256,-393) -> Matrix(77,68,-94,-83) Matrix(3527,-5432,1346,-2073) -> Matrix(59,50,-72,-61) Matrix(1233,-1904,362,-559) -> Matrix(43,38,-60,-53) Matrix(505,-784,324,-503) -> Matrix(1,0,0,1) Matrix(1399,-2184,180,-281) -> Matrix(9,8,-8,-7) Matrix(393,-616,178,-279) -> Matrix(3,2,-2,-1) Matrix(5935,-9576,1736,-2801) -> Matrix(23,20,-38,-33) Matrix(2185,-3528,1352,-2183) -> Matrix(1,0,0,1) Matrix(3359,-5432,1178,-1905) -> Matrix(3,2,-2,-1) Matrix(9689,-15680,4048,-6551) -> Matrix(83,72,-98,-85) Matrix(5881,-9520,2248,-3639) -> Matrix(5,4,-4,-3) Matrix(1065,-1736,446,-727) -> Matrix(3,2,-2,-1) Matrix(2017,-3304,478,-783) -> Matrix(9,8,-26,-23) Matrix(3753,-6160,1330,-2183) -> Matrix(91,80,-124,-109) Matrix(167,-280,34,-57) -> Matrix(7,6,-6,-5) Matrix(727,-1232,298,-505) -> Matrix(237,208,-286,-251) Matrix(4033,-6888,1770,-3023) -> Matrix(53,46,-68,-59) Matrix(2521,-4312,556,-951) -> Matrix(23,20,-38,-33) Matrix(5825,-9968,1832,-3135) -> Matrix(83,72,-98,-85) Matrix(1009,-1736,390,-671) -> Matrix(53,46,-68,-59) Matrix(3249,-5600,1364,-2351) -> Matrix(1,0,0,1) Matrix(225,-392,128,-223) -> Matrix(83,72,-98,-85) Matrix(6217,-10976,1744,-3079) -> Matrix(1,2,-2,-3) Matrix(1737,-3080,410,-727) -> Matrix(3,2,-2,-1) Matrix(3865,-6888,1602,-2855) -> Matrix(3,2,-2,-1) Matrix(10361,-18480,4552,-8119) -> Matrix(5,4,-4,-3) Matrix(1569,-2800,376,-671) -> Matrix(33,28,-46,-39) Matrix(617,-1120,92,-167) -> Matrix(23,20,-38,-33) Matrix(337,-616,122,-223) -> Matrix(53,46,-68,-59) Matrix(727,-1344,152,-281) -> Matrix(51,44,-80,-69) Matrix(505,-952,148,-279) -> Matrix(61,52,-88,-75) Matrix(449,-952,158,-335) -> Matrix(3,2,-2,-1) Matrix(335,-728,52,-113) -> Matrix(5,4,-4,-3) Matrix(783,-1736,152,-337) -> Matrix(5,4,-4,-3) Matrix(223,-504,50,-113) -> Matrix(17,14,-28,-23) Matrix(4593,-10528,1612,-3695) -> Matrix(1,0,0,1) Matrix(169,-392,72,-167) -> Matrix(1,0,0,1) Matrix(1289,-3080,398,-951) -> Matrix(59,50,-72,-61) Matrix(3695,-8848,702,-1681) -> Matrix(19,16,-6,-5) Matrix(2071,-4984,396,-953) -> Matrix(5,4,-4,-3) Matrix(6047,-14560,1768,-4257) -> Matrix(5,4,-4,-3) Matrix(503,-1288,66,-169) -> Matrix(5,4,-24,-19) Matrix(10359,-26824,3958,-10249) -> Matrix(1,2,-2,-3) Matrix(11425,-29904,3594,-9407) -> Matrix(1,0,0,1) Matrix(4703,-12320,1112,-2913) -> Matrix(39,32,-50,-41) Matrix(1345,-3528,512,-1343) -> Matrix(199,160,-250,-201) Matrix(2129,-5600,468,-1231) -> Matrix(5,4,-34,-27) Matrix(617,-1624,106,-279) -> Matrix(81,64,-100,-79) Matrix(559,-1512,166,-449) -> Matrix(23,18,-32,-25) Matrix(281,-784,100,-279) -> Matrix(1,0,0,1) Matrix(4817,-13720,1140,-3247) -> Matrix(7,6,-6,-5) Matrix(5879,-20104,1294,-4425) -> Matrix(7,4,-16,-9) Matrix(113,-392,32,-111) -> Matrix(1,0,0,1) Matrix(223,-840,30,-113) -> Matrix(3,2,-2,-1) Matrix(57,-224,14,-55) -> Matrix(1,0,0,1) Matrix(615,-2632,118,-505) -> Matrix(3,2,4,3) Matrix(169,-784,36,-167) -> Matrix(1,0,0,1) Matrix(673,-3528,128,-671) -> Matrix(1,0,2,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 96 Degree of the the map X: 96 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: 72 Genus: 61 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -8/1 -7/1 -6/1 -21/5 -4/1 -7/2 -10/3 -16/5 -8/3 -12/5 -7/3 -2/1 -7/4 -21/13 -7/5 -4/3 -21/17 -7/6 0/1 1/1 7/6 28/23 14/11 4/3 15/11 7/5 42/29 3/2 14/9 21/13 28/17 7/4 84/47 28/15 2/1 7/3 12/5 5/2 28/11 8/3 14/5 3/1 35/11 16/5 42/13 10/3 84/25 7/2 196/55 25/7 112/31 11/3 56/15 27/7 4/1 21/5 13/3 84/19 9/2 23/5 14/3 5/1 11/2 28/5 17/3 6/1 19/3 13/2 7/1 8/1 9/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -8/1 -1/1 -7/1 -2/1 0/1 -20/3 1/0 -13/2 -2/1 -1/1 -6/1 -2/1 -3/2 -1/1 -17/3 -10/9 -28/5 -1/1 -11/2 -1/1 -4/5 -5/1 0/1 -14/3 -2/1 -1/1 1/0 -23/5 -2/1 -9/2 -2/1 1/0 -22/5 -3/1 -2/1 1/0 -13/3 -2/1 -17/4 -2/1 -3/2 -38/9 -1/1 0/1 1/0 -21/5 -2/1 -25/6 -5/3 -8/5 -4/1 -3/2 1/0 -19/5 -4/3 -34/9 -2/1 -5/3 -3/2 -15/4 -2/1 -3/2 -11/3 -2/1 -29/8 -2/1 -3/2 -47/13 -8/5 -18/5 -3/2 -4/3 -1/1 -25/7 -4/3 -7/2 -2/1 -4/3 -31/9 -4/3 -86/25 -6/5 -7/6 -1/1 -55/16 -1/1 0/1 -24/7 -1/1 -17/5 -8/5 -27/8 -2/1 -3/2 -10/3 -3/2 -7/5 -4/3 -23/7 -4/3 -36/11 -5/4 -13/4 -4/3 -1/1 -16/5 -9/7 -1/1 -19/6 -4/3 -1/1 -3/1 -2/1 -14/5 -3/2 -4/3 -1/1 -25/9 -4/3 -11/4 -4/3 -1/1 -30/11 -3/2 -4/3 -1/1 -19/7 -8/5 -84/31 -3/2 -65/24 -3/2 -34/23 -46/17 -3/2 -13/9 -10/7 -27/10 -3/2 -4/3 -8/3 -7/5 -1/1 -29/11 -18/13 -50/19 -15/11 -34/25 -19/14 -21/8 -4/3 -13/5 -4/3 -18/7 -3/2 -7/5 -4/3 -23/9 -4/3 -28/11 -4/3 -5/2 -4/3 -9/7 -27/11 -32/25 -22/9 -19/15 -24/19 -5/4 -17/7 -16/13 -29/12 -5/4 -6/5 -70/29 -5/4 -6/5 -1/1 -41/17 -4/3 -12/5 -5/4 -7/3 -4/3 -6/5 -16/7 -1/1 -25/11 -4/3 -34/15 -4/3 -5/4 -1/1 -9/4 -4/3 -5/4 -11/5 -6/5 -13/6 -6/5 -1/1 -2/1 -5/4 -6/5 -1/1 -15/8 -41/34 -6/5 -28/15 -6/5 -13/7 -6/5 -11/6 -6/5 -13/11 -31/17 -6/5 -51/28 -6/5 -13/11 -20/11 -7/6 -29/16 -6/5 -7/6 -9/5 -8/7 -25/14 -4/3 -1/1 -41/23 -6/5 -16/9 -1/1 -55/31 -4/3 -39/22 -4/3 -5/4 -23/13 -6/5 -7/4 -6/5 -33/19 -6/5 -59/34 -6/5 -19/16 -85/49 -84/71 -196/113 -13/11 -111/64 -13/11 -98/83 -26/15 -13/11 -20/17 -7/6 -19/11 -8/7 -50/29 -5/4 -6/5 -1/1 -81/47 -6/5 -112/65 -6/5 -31/18 -6/5 -13/11 -12/7 -19/16 -7/6 -41/24 -6/5 -7/6 -70/41 -6/5 -13/11 -7/6 -29/17 -20/17 -17/10 -34/29 -7/6 -5/3 -6/5 -28/17 -7/6 -23/14 -7/6 -36/31 -41/25 -22/19 -59/36 -7/6 -36/31 -77/47 -22/19 -18/11 -7/6 -15/13 -8/7 -31/19 -8/7 -44/27 -7/6 -57/35 -8/7 -70/43 -7/6 -15/13 -8/7 -13/8 -15/13 -8/7 -34/21 -7/6 -8/7 -1/1 -21/13 -6/5 -8/7 -50/31 -6/5 -7/6 -1/1 -29/18 -7/6 -8/7 -8/5 -15/13 -1/1 -27/17 -10/9 -19/12 -6/5 -1/1 -11/7 -8/7 -14/9 -7/6 -8/7 -1/1 -17/11 -6/5 -20/13 -7/6 -23/15 -8/7 -3/2 -7/6 -8/7 -16/11 -15/13 -1/1 -29/20 -7/6 -8/7 -42/29 -7/6 -15/13 -8/7 -13/9 -8/7 -10/7 -8/7 -9/8 -1/1 -7/5 -8/7 -18/13 -8/7 -33/29 -25/22 -65/47 -108/95 -112/81 -25/22 -47/34 -25/22 -92/81 -29/21 -8/7 -11/8 -17/15 -26/23 -26/19 -17/15 -26/23 -9/8 -41/30 -26/23 -9/8 -56/41 -9/8 -15/11 -8/7 -34/25 -25/22 -42/37 -17/15 -53/39 -60/53 -19/14 -17/15 -26/23 -23/17 -26/23 -27/20 -44/39 -9/8 -4/3 -9/8 -17/13 -48/43 -47/36 -29/26 -68/61 -30/23 -39/35 -49/44 -10/9 -13/10 -10/9 -21/19 -22/17 -10/9 -11/10 -1/1 -53/41 -16/15 -84/65 -1/1 -31/24 -6/5 -1/1 -9/7 -10/9 -14/11 -9/8 -10/9 -1/1 -19/15 -8/7 -24/19 -19/17 -1/1 -53/42 -11/10 -12/11 -29/23 -6/5 -5/4 -10/9 -1/1 -31/25 -10/9 -26/21 -7/6 -8/7 -1/1 -21/17 -8/7 -10/9 -58/47 -9/8 -19/17 -10/9 -37/30 -8/7 -1/1 -16/13 -17/15 -1/1 -27/22 -8/7 -9/8 -11/9 -8/7 -28/23 -9/8 -17/14 -9/8 -28/25 -23/19 -10/9 -29/24 -9/8 -28/25 -6/5 -9/8 -19/17 -10/9 -13/11 -10/9 -7/6 -10/9 -22/19 -51/46 -92/83 -41/37 -15/13 -10/9 -23/20 -31/28 -52/47 -8/7 -21/19 -17/15 -10/9 -9/8 -54/49 -11/10 -10/9 -11/10 -34/31 -23/21 -11/10 -12/11 -1/1 -1/1 -12/11 0/1 -1/1 1/1 -12/13 10/9 -23/25 -34/37 -11/12 9/8 -11/12 -54/59 8/7 -21/23 15/13 -10/11 7/6 -10/11 6/5 -10/11 -19/21 -9/10 23/19 -10/11 17/14 -28/31 -9/10 28/23 -9/10 11/9 -8/9 16/13 -1/1 -17/19 21/17 -10/11 -8/9 26/21 -1/1 -8/9 -7/8 5/4 -1/1 -10/11 19/15 -8/9 14/11 -1/1 -10/11 -9/10 9/7 -10/11 22/17 -1/1 -11/12 -10/11 13/10 -21/23 -10/11 30/23 -10/11 -49/54 -39/43 47/36 -68/75 -29/32 17/13 -48/53 4/3 -9/10 19/14 -26/29 -17/19 34/25 -17/19 -42/47 -25/28 15/11 -8/9 26/19 -9/10 -26/29 -17/19 11/8 -26/29 -17/19 7/5 -8/9 17/12 -22/25 -7/8 27/19 -8/9 10/7 -1/1 -9/10 -8/9 13/9 -8/9 42/29 -8/9 -15/17 -7/8 29/20 -8/9 -7/8 16/11 -1/1 -15/17 3/2 -8/9 -7/8 20/13 -7/8 37/24 -1/1 -10/11 17/11 -6/7 14/9 -1/1 -8/9 -7/8 11/7 -8/9 19/12 -1/1 -6/7 46/29 -1/1 -11/12 -10/11 27/17 -10/11 8/5 -1/1 -15/17 29/18 -8/9 -7/8 21/13 -8/9 -6/7 55/34 -1/1 -6/7 89/55 -8/9 34/21 -1/1 -8/9 -7/8 13/8 -8/9 -15/17 31/19 -8/9 18/11 -8/9 -15/17 -7/8 41/25 -22/25 64/39 -29/33 23/14 -36/41 -7/8 28/17 -7/8 5/3 -6/7 17/10 -7/8 -34/39 29/17 -20/23 12/7 -7/8 -19/22 31/18 -13/15 -6/7 50/29 -1/1 -6/7 -5/6 19/11 -8/9 26/15 -7/8 -20/23 -13/15 7/4 -6/7 30/17 -1/1 -5/6 -4/5 83/47 -12/13 53/30 -7/8 -6/7 23/13 -6/7 39/22 -5/6 -4/5 55/31 -4/5 16/9 -1/1 41/23 -6/7 66/37 -1/1 -8/9 -7/8 25/14 -1/1 -4/5 84/47 -1/1 59/33 -14/15 34/19 -1/1 -9/10 -8/9 9/5 -8/9 20/11 -7/8 11/6 -13/15 -6/7 13/7 -6/7 28/15 -6/7 15/8 -6/7 -41/48 2/1 -1/1 -6/7 -5/6 11/5 -6/7 9/4 -5/6 -4/5 7/3 -6/7 -4/5 19/8 -1/1 -6/7 31/13 -6/7 43/18 -6/7 -11/13 55/23 -6/7 12/5 -5/6 41/17 -4/5 70/29 -1/1 -6/7 -5/6 29/12 -6/7 -5/6 17/7 -16/19 22/9 -5/6 -24/29 -19/23 27/11 -32/39 5/2 -9/11 -4/5 28/11 -4/5 23/9 -4/5 18/7 -4/5 -7/9 -3/4 13/5 -4/5 34/13 -1/1 -4/5 -3/4 21/8 -4/5 71/27 -4/5 50/19 -19/24 -34/43 -15/19 29/11 -18/23 8/3 -1/1 -7/9 27/10 -4/5 -3/4 19/7 -8/11 30/11 -1/1 -4/5 -3/4 11/4 -1/1 -4/5 36/13 -3/4 61/22 -1/1 -4/5 86/31 -1/1 -2/3 -1/2 25/9 -4/5 14/5 -1/1 -4/5 -3/4 3/1 -2/3 22/7 -1/1 -8/9 -7/8 19/6 -1/1 -4/5 54/17 -6/7 -11/13 -5/6 35/11 -6/7 -4/5 16/5 -1/1 -9/11 29/9 -6/7 42/13 -1/1 -5/6 -4/5 55/17 -4/5 13/4 -1/1 -4/5 36/11 -5/6 59/18 -5/6 -4/5 23/7 -4/5 10/3 -4/5 -7/9 -3/4 47/14 -28/37 -3/4 84/25 -3/4 37/11 -14/19 27/8 -3/4 -2/3 17/5 -8/11 24/7 -1/1 7/2 -4/5 -2/3 32/9 -1/1 57/16 -1/1 0/1 196/55 -1/1 139/39 -14/15 82/23 -1/1 -7/8 -6/7 25/7 -4/5 18/5 -1/1 -4/5 -3/4 65/18 -16/21 -3/4 112/31 -3/4 47/13 -8/11 29/8 -3/4 -2/3 40/11 -1/1 -5/7 11/3 -2/3 26/7 -1/1 -3/4 -2/3 41/11 -4/5 56/15 -3/4 15/4 -3/4 -2/3 19/5 -4/5 23/6 -3/4 -2/3 27/7 -10/13 4/1 -3/4 -1/2 29/7 -10/13 25/6 -8/11 -5/7 21/5 -2/3 59/14 -4/7 -1/2 38/9 -1/1 -1/2 0/1 55/13 -2/3 17/4 -3/4 -2/3 13/3 -2/3 22/5 -2/3 -3/5 -1/2 53/12 -3/4 -2/3 84/19 -2/3 31/7 -2/3 9/2 -2/3 -1/2 32/7 -1/1 55/12 -1/1 -4/5 23/5 -2/3 14/3 -1/1 -2/3 -1/2 5/1 0/1 11/2 -4/3 -1/1 28/5 -1/1 17/3 -10/11 6/1 -1/1 -3/4 -2/3 19/3 0/1 13/2 -1/1 -2/3 7/1 -2/3 0/1 15/2 -1/2 0/1 8/1 -1/1 9/1 -2/1 1/0 -1/1 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(29,252,-16,-139) (-8/1,1/0) -> (-20/11,-29/16) Hyperbolic Matrix(27,196,-4,-29) (-8/1,-7/1) -> (-7/1,-20/3) Parabolic Matrix(111,728,34,223) (-20/3,-13/2) -> (13/4,36/11) Hyperbolic Matrix(83,532,-22,-141) (-13/2,-6/1) -> (-34/9,-15/4) Hyperbolic Matrix(83,476,34,195) (-6/1,-17/3) -> (17/7,22/9) 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(27,140,16,83) (-11/2,-5/1) -> (5/3,17/10) Hyperbolic Matrix(29,140,6,29) (-5/1,-14/3) -> (14/3,5/1) Hyperbolic Matrix(139,644,30,139) (-14/3,-23/5) -> (23/5,14/3) Hyperbolic Matrix(141,644,-104,-475) (-23/5,-9/2) -> (-19/14,-23/17) 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(85,364,46,197) (-13/3,-17/4) -> (11/6,13/7) Hyperbolic Matrix(139,588,-126,-533) (-17/4,-38/9) -> (-10/9,-11/10) Hyperbolic Matrix(783,3304,-478,-2017) (-38/9,-21/5) -> (-77/47,-18/11) Hyperbolic Matrix(757,3164,-462,-1931) (-21/5,-25/6) -> (-59/36,-77/47) Hyperbolic Matrix(197,812,-156,-643) (-25/6,-4/1) -> (-24/19,-53/42) Hyperbolic Matrix(139,532,-110,-421) (-4/1,-19/5) -> (-19/15,-24/19) Hyperbolic Matrix(421,1596,244,925) (-19/5,-34/9) -> (50/29,19/11) Hyperbolic Matrix(83,308,-38,-141) (-15/4,-11/3) -> (-11/5,-13/6) Hyperbolic Matrix(169,616,-138,-503) (-11/3,-29/8) -> (-27/22,-11/9) Hyperbolic Matrix(85,308,8,29) (-29/8,-47/13) -> (9/1,1/0) 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(139,476,106,363) (-24/7,-17/5) -> (17/13,4/3) 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(195,644,76,251) (-10/3,-23/7) -> (23/9,18/7) Hyperbolic Matrix(393,1288,-256,-839) (-23/7,-36/11) -> (-20/13,-23/15) Hyperbolic Matrix(197,644,26,85) (-36/11,-13/4) -> (15/2,8/1) Hyperbolic Matrix(253,812,-148,-475) (-13/4,-16/5) -> (-12/7,-41/24) 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(29,84,10,29) (-3/1,-14/5) -> (14/5,3/1) Hyperbolic Matrix(251,700,90,251) (-14/5,-25/9) -> (25/9,14/5) 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(755,1988,308,811) (-29/11,-50/19) -> (22/9,27/11) Hyperbolic Matrix(309,812,-266,-699) (-50/19,-21/8) -> (-7/6,-22/19) Hyperbolic Matrix(139,364,-118,-309) (-21/8,-13/5) -> (-13/11,-7/6) Hyperbolic Matrix(141,364,98,253) (-13/5,-18/7) -> (10/7,13/9) Hyperbolic Matrix(251,644,76,195) (-18/7,-23/9) -> (23/7,10/3) 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(811,1988,308,755) (-27/11,-22/9) -> (50/19,29/11) Hyperbolic Matrix(195,476,34,83) (-22/9,-17/7) -> (17/3,6/1) 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(2379,5740,986,2379) (-70/29,-41/17) -> (41/17,70/29) Hyperbolic Matrix(477,1148,268,645) (-41/17,-12/5) -> (16/9,41/23) Hyperbolic Matrix(83,196,-36,-85) (-12/5,-7/3) -> (-7/3,-16/7) Parabolic Matrix(701,1596,-430,-979) (-16/7,-25/11) -> (-31/19,-44/27) Hyperbolic Matrix(1765,4004,-1024,-2323) (-25/11,-34/15) -> (-50/29,-81/47) Hyperbolic Matrix(139,308,88,195) (-9/4,-11/5) -> (11/7,19/12) Hyperbolic Matrix(197,420,-144,-307) (-13/6,-2/1) -> (-26/19,-41/30) Hyperbolic Matrix(253,476,194,365) (-2/1,-15/8) -> (13/10,30/23) 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(197,364,46,85) (-13/7,-11/6) -> (17/4,13/3) Hyperbolic Matrix(953,1736,-768,-1399) (-31/17,-51/28) -> (-5/4,-31/25) Hyperbolic Matrix(2045,3724,1246,2269) (-51/28,-20/11) -> (64/39,23/14) 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(1931,3444,-1178,-2101) (-25/14,-41/23) -> (-41/25,-59/36) Hyperbolic Matrix(645,1148,268,477) (-41/23,-16/9) -> (12/5,41/17) Hyperbolic Matrix(867,1540,362,643) (-16/9,-55/31) -> (55/23,12/5) Hyperbolic Matrix(363,644,-332,-589) (-55/31,-39/22) -> (-11/10,-1/1) 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(2211,3836,532,923) (-59/34,-85/49) -> (29/7,25/6) 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(5963,10276,1348,2323) (-81/47,-112/65) -> (84/19,31/7) Hyperbolic Matrix(4957,8540,1122,1933) (-112/65,-31/18) -> (53/12,84/19) Hyperbolic Matrix(309,532,212,365) (-31/18,-12/7) -> (16/11,3/2) Hyperbolic Matrix(2213,3780,-1360,-2323) (-41/24,-70/41) -> (-70/43,-13/8) 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(83,140,16,27) (-17/10,-5/3) -> (5/1,11/2) 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(617,1008,172,281) (-18/11,-31/19) -> (25/7,18/5) Hyperbolic Matrix(2045,3332,1152,1877) (-44/27,-57/35) -> (55/31,16/9) Hyperbolic Matrix(3835,6244,1186,1931) (-57/35,-70/43) -> (42/13,55/17) Hyperbolic Matrix(449,728,346,561) (-13/8,-34/21) -> (22/17,13/10) Hyperbolic Matrix(1091,1764,-676,-1093) (-34/21,-21/13) -> (-21/13,-50/31) Parabolic 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(1147,1820,-830,-1317) (-27/17,-19/12) -> (-47/34,-29/21) Hyperbolic Matrix(195,308,88,139) (-19/12,-11/7) -> (11/5,9/4) Hyperbolic Matrix(197,308,126,197) (-11/7,-14/9) -> (14/9,11/7) Hyperbolic Matrix(307,476,198,307) (-14/9,-17/11) -> (17/11,14/9) Hyperbolic Matrix(309,476,-272,-419) (-17/11,-20/13) -> (-8/7,-17/15) Hyperbolic Matrix(841,1288,476,729) (-23/15,-3/2) -> (53/30,23/13) Hyperbolic Matrix(365,532,212,309) (-3/2,-16/11) -> (12/7,31/18) 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(755,1092,522,755) (-42/29,-13/9) -> (13/9,42/29) Hyperbolic Matrix(253,364,98,141) (-13/9,-10/7) -> (18/7,13/5) Hyperbolic Matrix(139,196,-100,-141) (-10/7,-7/5) -> (-7/5,-18/13) Parabolic 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(589,812,346,477) (-29/21,-11/8) -> (17/10,29/17) 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(2715,3668,1678,2267) (-23/17,-27/20) -> (55/34,89/55) Hyperbolic Matrix(811,1092,228,307) (-27/20,-4/3) -> (32/9,57/16) Hyperbolic Matrix(363,476,106,139) (-4/3,-17/13) -> (17/5,24/7) Hyperbolic Matrix(1093,1428,708,925) (-17/13,-47/36) -> (37/24,17/11) Hyperbolic Matrix(2939,3836,-2382,-3109) (-47/36,-30/23) -> (-58/47,-37/30) Hyperbolic Matrix(365,476,194,253) (-30/23,-13/10) -> (15/8,2/1) 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(197,252,154,197) (-9/7,-14/11) -> (14/11,9/7) Hyperbolic Matrix(419,532,330,419) (-14/11,-19/15) -> (19/15,14/11) 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(1427,1764,-1156,-1429) (-26/21,-21/17) -> (-21/17,-58/47) Parabolic 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(1597,1932,348,421) (-23/19,-29/24) -> (55/12,23/5) Hyperbolic Matrix(307,364,70,83) (-6/5,-13/11) -> (13/3,22/5) Hyperbolic Matrix(1147,1316,414,475) (-23/20,-8/7) -> (36/13,61/22) 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(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(533,-588,126,-139) (1/1,10/9) -> (38/9,55/13) Hyperbolic Matrix(419,-476,272,-309) (9/8,8/7) -> (20/13,37/24) Hyperbolic Matrix(1119,-1288,682,-785) (8/7,15/13) -> (41/25,64/39) Hyperbolic Matrix(699,-812,266,-309) (15/13,7/6) -> (21/8,71/27) Hyperbolic Matrix(309,-364,118,-139) (7/6,6/5) -> (34/13,21/8) Hyperbolic Matrix(1091,-1316,674,-813) (6/5,23/19) -> (89/55,34/21) 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(1653,-2044,520,-643) (21/17,26/21) -> (54/17,35/11) Hyperbolic Matrix(1625,-2016,586,-727) (26/21,5/4) -> (61/22,86/31) Hyperbolic Matrix(421,-532,110,-139) (5/4,19/15) -> (19/5,23/6) Hyperbolic Matrix(391,-504,218,-281) (9/7,22/17) -> (34/19,9/5) Hyperbolic Matrix(2381,-3108,750,-979) (30/23,47/36) -> (19/6,54/17) Hyperbolic Matrix(475,-644,104,-141) (4/3,19/14) -> (9/2,32/7) Hyperbolic Matrix(783,-1064,248,-337) (19/14,34/25) -> (22/7,19/6) Hyperbolic Matrix(2325,-3164,884,-1203) (34/25,15/11) -> (71/27,50/19) Hyperbolic Matrix(1065,-1456,286,-391) (15/11,26/19) -> (26/7,41/11) Hyperbolic Matrix(141,-196,100,-139) (11/8,7/5) -> (7/5,17/12) Parabolic Matrix(1063,-1512,670,-953) (27/19,10/7) -> (46/29,27/17) Hyperbolic Matrix(839,-1288,256,-393) (3/2,20/13) -> (36/11,59/18) Hyperbolic Matrix(2101,-3332,582,-923) (19/12,46/29) -> (18/5,65/18) Hyperbolic Matrix(1093,-1764,676,-1091) (29/18,21/13) -> (21/13,55/34) Parabolic Matrix(1065,-1736,446,-727) (13/8,31/19) -> (31/13,43/18) Hyperbolic Matrix(2101,-3444,1178,-1931) (18/11,41/25) -> (41/23,66/37) Hyperbolic Matrix(475,-812,148,-253) (29/17,12/7) -> (16/5,29/9) Hyperbolic Matrix(1933,-3332,438,-755) (31/18,50/29) -> (22/5,53/12) 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(2715,-4844,644,-1149) (66/37,25/14) -> (59/14,38/9) Hyperbolic Matrix(139,-252,16,-29) (9/5,20/11) -> (8/1,9/1) Hyperbolic Matrix(337,-616,122,-223) (20/11,11/6) -> (11/4,36/13) Hyperbolic Matrix(141,-308,38,-83) (2/1,11/5) -> (11/3,26/7) Hyperbolic Matrix(85,-196,36,-83) (9/4,7/3) -> (7/3,19/8) Parabolic Matrix(365,-868,82,-195) (19/8,31/13) -> (31/7,9/2) Hyperbolic Matrix(1289,-3080,398,-951) (43/18,55/23) -> (55/17,13/4) Hyperbolic Matrix(307,-756,80,-197) (27/11,5/2) -> (23/6,27/7) Hyperbolic Matrix(559,-1512,166,-449) (27/10,19/7) -> (37/11,27/8) Hyperbolic Matrix(113,-392,32,-111) (24/7,7/2) -> (7/2,32/9) Parabolic Matrix(141,-532,22,-83) (15/4,19/5) -> (19/3,13/2) Hyperbolic Matrix(57,-224,14,-55) (27/7,4/1) -> (4/1,29/7) Parabolic Matrix(421,-1764,100,-419) (25/6,21/5) -> (21/5,59/14) Parabolic Matrix(29,-196,4,-27) (13/2,7/1) -> (7/1,15/2) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(29,252,-16,-139) -> Matrix(13,6,-11,-5) Matrix(27,196,-4,-29) -> Matrix(1,2,-1,-1) Matrix(111,728,34,223) -> Matrix(5,6,-6,-7) Matrix(83,532,-22,-141) -> Matrix(1,4,-1,-3) Matrix(83,476,34,195) -> Matrix(29,34,-35,-41) Matrix(169,952,30,169) -> Matrix(19,20,-20,-21) Matrix(111,616,20,111) -> Matrix(9,8,-8,-7) Matrix(27,140,16,83) -> Matrix(1,-6,-1,7) Matrix(29,140,6,29) -> Matrix(1,0,-1,1) Matrix(139,644,30,139) -> Matrix(1,0,-1,1) Matrix(141,644,-104,-475) -> Matrix(17,8,-15,-7) Matrix(113,504,-50,-223) -> Matrix(5,14,-4,-11) Matrix(167,728,64,279) -> Matrix(3,10,-4,-13) Matrix(85,364,46,197) -> Matrix(25,44,-29,-51) Matrix(139,588,-126,-533) -> Matrix(23,34,-21,-31) Matrix(783,3304,-478,-2017) -> Matrix(7,-8,-6,7) Matrix(757,3164,-462,-1931) -> Matrix(73,124,-63,-107) Matrix(197,812,-156,-643) -> Matrix(19,28,-17,-25) Matrix(139,532,-110,-421) -> Matrix(19,28,-17,-25) Matrix(421,1596,244,925) -> Matrix(13,20,-15,-23) Matrix(83,308,-38,-141) -> Matrix(11,16,-9,-13) Matrix(169,616,-138,-503) -> Matrix(7,6,-6,-5) Matrix(85,308,8,29) -> Matrix(1,2,-3,-5) Matrix(559,2016,-404,-1457) -> Matrix(91,124,-80,-109) Matrix(281,1008,172,617) -> Matrix(37,52,-42,-59) Matrix(111,392,-32,-113) -> Matrix(1,0,0,1) Matrix(1399,4816,504,1735) -> Matrix(7,8,-8,-9) Matrix(3191,10976,-1840,-6329) -> Matrix(85,98,-72,-83) Matrix(897,3080,196,673) -> Matrix(3,4,-4,-5) Matrix(139,476,106,363) -> Matrix(1,-8,-1,9) Matrix(281,952,116,393) -> Matrix(7,8,-8,-9) Matrix(449,1512,-166,-559) -> Matrix(11,18,-8,-13) Matrix(195,644,76,251) -> Matrix(29,40,-37,-51) Matrix(393,1288,-256,-839) -> Matrix(53,68,-46,-59) Matrix(197,644,26,85) -> Matrix(3,4,-7,-9) Matrix(253,812,-148,-475) -> Matrix(15,22,-13,-19) Matrix(281,896,-228,-727) -> Matrix(5,4,-4,-3) Matrix(337,1064,-248,-783) -> Matrix(77,94,-68,-83) Matrix(29,84,10,29) -> Matrix(5,8,-7,-11) Matrix(251,700,90,251) -> Matrix(5,8,-7,-11) Matrix(223,616,-122,-337) -> Matrix(33,46,-28,-39) Matrix(225,616,164,449) -> Matrix(25,42,-28,-47) Matrix(391,1064,226,615) -> Matrix(19,32,-22,-37) Matrix(1735,4704,516,1399) -> Matrix(43,66,-58,-89) Matrix(3473,9408,1034,2801) -> Matrix(125,186,-166,-247) Matrix(393,1064,352,953) -> Matrix(145,212,-158,-231) Matrix(167,448,104,279) -> Matrix(37,52,-42,-59) Matrix(169,448,106,281) -> Matrix(37,52,-42,-59) Matrix(755,1988,308,811) -> Matrix(139,190,-169,-231) Matrix(309,812,-266,-699) -> Matrix(263,354,-237,-319) Matrix(139,364,-118,-309) -> Matrix(37,46,-33,-41) Matrix(141,364,98,253) -> Matrix(13,20,-15,-23) Matrix(251,644,76,195) -> Matrix(29,40,-37,-51) Matrix(505,1288,198,505) -> Matrix(137,184,-172,-231) Matrix(111,280,44,111) -> Matrix(55,72,-68,-89) Matrix(113,280,-90,-223) -> Matrix(67,86,-60,-77) Matrix(811,1988,308,755) -> Matrix(149,190,-189,-241) Matrix(195,476,34,83) -> Matrix(27,34,-31,-39) Matrix(393,952,116,281) -> Matrix(7,8,-8,-9) Matrix(1345,3248,928,2241) -> Matrix(67,82,-76,-93) Matrix(2379,5740,986,2379) -> Matrix(19,24,-23,-29) Matrix(477,1148,268,645) -> Matrix(27,34,-31,-39) Matrix(83,196,-36,-85) -> Matrix(21,26,-17,-21) Matrix(701,1596,-430,-979) -> Matrix(29,36,-25,-31) Matrix(1765,4004,-1024,-2323) -> Matrix(21,26,-17,-21) Matrix(139,308,88,195) -> Matrix(27,34,-31,-39) Matrix(197,420,-144,-307) -> Matrix(19,28,-17,-25) Matrix(253,476,194,365) -> Matrix(235,284,-259,-313) Matrix(449,840,240,449) -> Matrix(409,492,-478,-575) Matrix(391,728,210,391) -> Matrix(311,372,-362,-433) Matrix(197,364,46,85) -> Matrix(37,44,-53,-63) Matrix(953,1736,-768,-1399) -> Matrix(105,124,-94,-111) Matrix(2045,3724,1246,2269) -> Matrix(361,426,-411,-485) Matrix(897,1624,248,449) -> Matrix(27,32,-38,-45) Matrix(281,504,-218,-391) -> Matrix(3,2,-2,-1) Matrix(1931,3444,-1178,-2101) -> Matrix(57,64,-49,-55) Matrix(645,1148,268,477) -> Matrix(29,34,-35,-41) Matrix(867,1540,362,643) -> Matrix(9,14,-11,-17) Matrix(363,644,-332,-589) -> Matrix(45,56,-41,-51) Matrix(727,1288,600,1063) -> Matrix(85,104,-94,-115) Matrix(223,392,-128,-225) -> Matrix(59,72,-50,-61) Matrix(1903,3304,580,1007) -> Matrix(89,106,-110,-131) Matrix(2211,3836,532,923) -> Matrix(103,122,-141,-167) Matrix(25311,43904,7102,12319) -> Matrix(225,266,-236,-279) Matrix(18985,32928,5328,9241) -> Matrix(83,98,-72,-85) Matrix(615,1064,226,391) -> Matrix(27,32,-38,-45) Matrix(617,1064,98,169) -> Matrix(7,8,-8,-9) Matrix(5963,10276,1348,2323) -> Matrix(43,52,-67,-81) Matrix(4957,8540,1122,1933) -> Matrix(37,44,-53,-63) Matrix(309,532,212,365) -> Matrix(53,62,-59,-69) Matrix(2213,3780,-1360,-2323) -> Matrix(123,146,-107,-127) Matrix(1903,3248,590,1007) -> Matrix(49,58,-60,-71) Matrix(559,952,394,671) -> Matrix(71,84,-82,-97) Matrix(83,140,16,27) -> Matrix(5,6,-11,-13) Matrix(169,280,102,169) -> Matrix(71,84,-82,-97) Matrix(783,1288,476,783) -> Matrix(433,504,-494,-575) Matrix(785,1288,-682,-1119) -> Matrix(649,752,-586,-679) Matrix(617,1008,172,281) -> Matrix(45,52,-58,-67) Matrix(2045,3332,1152,1877) -> Matrix(17,20,-23,-27) Matrix(3835,6244,1186,1931) -> Matrix(17,20,-23,-27) Matrix(449,728,346,561) -> Matrix(17,18,-18,-19) Matrix(1091,1764,-676,-1093) -> Matrix(43,50,-37,-43) Matrix(1007,1624,-834,-1345) -> Matrix(105,124,-94,-111) Matrix(279,448,104,167) -> Matrix(45,52,-58,-67) Matrix(281,448,106,169) -> Matrix(45,52,-58,-67) Matrix(1147,1820,-830,-1317) -> Matrix(217,242,-191,-213) Matrix(195,308,88,139) -> Matrix(29,34,-35,-41) Matrix(197,308,126,197) -> Matrix(41,48,-47,-55) Matrix(307,476,198,307) -> Matrix(41,48,-47,-55) Matrix(309,476,-272,-419) -> Matrix(45,56,-41,-51) Matrix(841,1288,476,729) -> Matrix(13,14,-14,-15) Matrix(365,532,212,309) -> Matrix(55,62,-63,-71) Matrix(1119,1624,308,447) -> Matrix(9,10,-10,-11) Matrix(2241,3248,928,1345) -> Matrix(71,82,-84,-97) Matrix(755,1092,522,755) -> Matrix(153,176,-173,-199) Matrix(253,364,98,141) -> Matrix(17,20,-23,-27) Matrix(139,196,-100,-141) -> Matrix(167,192,-147,-169) Matrix(9071,12544,2510,3471) -> Matrix(461,524,-622,-707) Matrix(9073,12544,2512,3473) -> Matrix(595,676,-786,-893) Matrix(589,812,346,477) -> Matrix(349,396,-401,-455) Matrix(449,616,164,225) -> Matrix(37,42,-52,-59) Matrix(2295,3136,614,839) -> Matrix(85,96,-116,-131) Matrix(2297,3136,616,841) -> Matrix(11,12,-12,-13) Matrix(617,840,-534,-727) -> Matrix(137,158,-124,-143) Matrix(2801,3808,1566,2129) -> Matrix(157,178,-172,-195) Matrix(2715,3668,1678,2267) -> Matrix(87,98,-95,-107) Matrix(811,1092,228,307) -> Matrix(39,44,-47,-53) Matrix(363,476,106,139) -> Matrix(7,8,-15,-17) Matrix(1093,1428,708,925) -> Matrix(199,222,-225,-251) Matrix(2939,3836,-2382,-3109) -> Matrix(269,300,-243,-271) Matrix(365,476,194,253) -> Matrix(255,284,-299,-333) Matrix(561,728,346,449) -> Matrix(17,18,-18,-19) Matrix(953,1232,304,393) -> Matrix(17,18,-18,-19) Matrix(7279,9408,4072,5263) -> Matrix(29,30,-30,-31) Matrix(3641,4704,2038,2633) -> Matrix(9,10,-10,-11) Matrix(197,252,154,197) -> Matrix(71,80,-79,-89) Matrix(419,532,330,419) -> Matrix(71,80,-79,-89) Matrix(4705,5936,2664,3361) -> Matrix(17,18,-18,-19) Matrix(2575,3192,722,895) -> Matrix(13,14,-14,-15) Matrix(1427,1764,-1156,-1429) -> Matrix(73,82,-65,-73) Matrix(729,896,502,617) -> Matrix(15,16,-16,-17) Matrix(505,616,414,505) -> Matrix(127,144,-142,-161) Matrix(783,952,644,783) -> Matrix(449,504,-498,-559) Matrix(1063,1288,600,727) -> Matrix(93,104,-110,-123) Matrix(1597,1932,348,421) -> Matrix(7,8,-15,-17) Matrix(307,364,70,83) -> Matrix(43,48,-69,-77) Matrix(1147,1316,414,475) -> Matrix(65,72,-93,-103) Matrix(841,952,644,729) -> Matrix(741,818,-818,-903) Matrix(503,560,150,167) -> Matrix(133,146,-174,-191) Matrix(1,0,2,1) -> Matrix(23,24,-24,-25) Matrix(533,-588,126,-139) -> Matrix(37,34,-49,-45) Matrix(419,-476,272,-309) -> Matrix(61,56,-73,-67) Matrix(1119,-1288,682,-785) -> Matrix(825,752,-938,-855) Matrix(699,-812,266,-309) -> Matrix(389,354,-489,-445) Matrix(309,-364,118,-139) -> Matrix(51,46,-61,-55) Matrix(1091,-1316,674,-813) -> Matrix(91,82,-101,-91) Matrix(503,-616,138,-169) -> Matrix(7,6,-6,-5) Matrix(727,-896,228,-281) -> Matrix(5,4,-4,-3) Matrix(1653,-2044,520,-643) -> Matrix(51,46,-61,-55) Matrix(1625,-2016,586,-727) -> Matrix(7,6,-6,-5) Matrix(421,-532,110,-139) -> Matrix(31,28,-41,-37) Matrix(391,-504,218,-281) -> Matrix(3,2,-2,-1) Matrix(2381,-3108,750,-979) -> Matrix(203,184,-235,-213) Matrix(475,-644,104,-141) -> Matrix(9,8,1,1) Matrix(783,-1064,248,-337) -> Matrix(105,94,-124,-111) Matrix(2325,-3164,884,-1203) -> Matrix(247,220,-311,-277) Matrix(1065,-1456,286,-391) -> Matrix(67,60,-86,-77) Matrix(141,-196,100,-139) -> Matrix(215,192,-243,-217) Matrix(1063,-1512,670,-953) -> Matrix(1,2,-2,-3) Matrix(839,-1288,256,-393) -> Matrix(77,68,-94,-83) Matrix(2101,-3332,582,-923) -> Matrix(37,34,-49,-45) Matrix(1093,-1764,676,-1091) -> Matrix(57,50,-65,-57) Matrix(1065,-1736,446,-727) -> Matrix(3,2,-2,-1) Matrix(2101,-3444,1178,-1931) -> Matrix(73,64,-81,-71) Matrix(475,-812,148,-253) -> Matrix(25,22,-33,-29) Matrix(1933,-3332,438,-755) -> Matrix(9,8,-17,-15) Matrix(225,-392,128,-223) -> Matrix(83,72,-98,-85) Matrix(6217,-10976,1744,-3079) -> Matrix(1,2,-2,-3) Matrix(1737,-3080,410,-727) -> Matrix(3,2,-2,-1) Matrix(2715,-4844,644,-1149) -> Matrix(9,8,-17,-15) Matrix(139,-252,16,-29) -> Matrix(7,6,1,1) Matrix(337,-616,122,-223) -> Matrix(53,46,-68,-59) Matrix(141,-308,38,-83) -> Matrix(19,16,-25,-21) Matrix(85,-196,36,-83) -> Matrix(31,26,-37,-31) Matrix(365,-868,82,-195) -> Matrix(9,8,-17,-15) Matrix(1289,-3080,398,-951) -> Matrix(59,50,-72,-61) Matrix(307,-756,80,-197) -> Matrix(7,6,-13,-11) Matrix(559,-1512,166,-449) -> Matrix(23,18,-32,-25) Matrix(113,-392,32,-111) -> Matrix(1,0,0,1) Matrix(141,-532,22,-83) -> Matrix(5,4,-9,-7) Matrix(57,-224,14,-55) -> Matrix(1,0,0,1) Matrix(421,-1764,100,-419) -> Matrix(17,12,-27,-19) Matrix(29,-196,4,-27) -> Matrix(3,2,-5,-3) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 3 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 2 Genus: 0 Degree of H/liftables -> H/(image of liftables): 96 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 -1/1 12 1 1/1 -12/13 1 28 10/9 0 14 9/8 (-11/12,-54/59) 0 28 8/7 -21/23 2 7 15/13 -10/11 1 28 7/6 -10/11 5 4 6/5 0 14 23/19 -10/11 1 28 17/14 (-28/31,-9/10) 0 28 28/23 -9/10 4 1 11/9 -8/9 1 28 16/13 0 7 21/17 (-1/1,-9/10).(-10/11,-8/9) 0 4 26/21 0 14 5/4 (-1/1,-10/11) 0 28 19/15 -8/9 1 28 14/11 (-10/11,-8/9) 0 2 9/7 -10/11 1 28 22/17 0 14 13/10 (-21/23,-10/11) 0 28 30/23 0 14 47/36 (-68/75,-29/32) 0 28 17/13 -48/53 1 28 4/3 -9/10 2 7 19/14 (-26/29,-17/19) 0 28 34/25 0 14 15/11 -8/9 1 28 26/19 0 14 11/8 (-26/29,-17/19) 0 28 7/5 -8/9 3 4 17/12 (-22/25,-7/8) 0 28 27/19 -8/9 1 28 10/7 0 14 13/9 -8/9 1 28 42/29 (-8/9,-22/25) 0 2 29/20 (-8/9,-7/8) 0 28 16/11 0 7 3/2 (-8/9,-7/8) 0 28 20/13 -7/8 2 7 37/24 (-1/1,-10/11) 0 28 17/11 -6/7 1 28 14/9 (-8/9,-6/7) 0 2 11/7 -8/9 1 28 19/12 (-1/1,-6/7) 0 28 46/29 0 14 27/17 -10/11 1 28 8/5 0 7 29/18 (-8/9,-7/8) 0 28 21/13 (-1/1,-7/8).(-8/9,-6/7) 0 4 55/34 (-1/1,-6/7) 0 28 89/55 -8/9 1 28 34/21 0 14 13/8 (-8/9,-15/17) 0 28 31/19 -8/9 1 28 18/11 0 14 41/25 -22/25 1 28 64/39 -29/33 2 7 23/14 (-36/41,-7/8) 0 28 28/17 -7/8 6 1 5/3 -6/7 1 28 17/10 (-7/8,-34/39) 0 28 29/17 -20/23 1 28 12/7 0 7 31/18 (-13/15,-6/7) 0 28 50/29 0 14 19/11 -8/9 1 28 26/15 0 14 7/4 -6/7 1 4 30/17 0 14 83/47 -12/13 1 28 53/30 (-7/8,-6/7) 0 28 23/13 -6/7 1 28 39/22 (-5/6,-4/5) 0 28 55/31 -4/5 1 28 16/9 -1/1 2 7 41/23 -6/7 1 28 66/37 0 14 25/14 (-1/1,-4/5) 0 28 84/47 -1/1 10 1 59/33 -14/15 1 28 34/19 0 14 9/5 -8/9 1 28 20/11 -7/8 2 7 11/6 (-13/15,-6/7) 0 28 13/7 -6/7 1 28 28/15 -6/7 12 1 15/8 (-6/7,-41/48) 0 28 2/1 0 14 11/5 -6/7 1 28 9/4 (-5/6,-4/5) 0 28 7/3 (-1/1,-5/6).(-6/7,-4/5) 0 4 19/8 (-1/1,-6/7) 0 28 31/13 -6/7 1 28 43/18 (-6/7,-11/13) 0 28 55/23 -6/7 1 28 12/5 -5/6 2 7 41/17 -4/5 1 28 70/29 (-6/7,-4/5) 0 2 29/12 (-6/7,-5/6) 0 28 17/7 -16/19 1 28 22/9 0 14 27/11 -32/39 1 28 5/2 (-9/11,-4/5) 0 28 28/11 -4/5 8 1 23/9 -4/5 1 28 18/7 0 14 13/5 -4/5 1 28 34/13 0 14 21/8 -4/5 5 4 71/27 -4/5 1 28 50/19 0 14 29/11 -18/23 1 28 8/3 0 7 27/10 (-4/5,-3/4) 0 28 19/7 -8/11 1 28 30/11 0 14 11/4 (-1/1,-4/5) 0 28 36/13 -3/4 2 7 61/22 (-1/1,-4/5) 0 28 86/31 0 14 25/9 -4/5 1 28 14/5 (-4/5,-2/3) 0 2 3/1 -2/3 1 28 22/7 0 14 19/6 (-1/1,-4/5) 0 28 54/17 0 14 35/11 (-1/1,-5/6).(-6/7,-4/5) 0 4 16/5 0 7 29/9 -6/7 1 28 42/13 (-6/7,-4/5) 0 2 55/17 -4/5 1 28 13/4 (-1/1,-4/5) 0 28 36/11 -5/6 2 7 59/18 (-5/6,-4/5) 0 28 23/7 -4/5 1 28 10/3 0 14 47/14 (-28/37,-3/4) 0 28 84/25 -3/4 14 1 37/11 -14/19 1 28 27/8 (-3/4,-2/3) 0 28 17/5 -8/11 1 28 24/7 -1/1 2 7 7/2 0 4 32/9 -1/1 2 7 57/16 (-1/1,0/1) 0 28 196/55 -1/1 14 1 139/39 -14/15 1 28 82/23 0 14 25/7 -4/5 1 28 18/5 0 14 65/18 (-16/21,-3/4) 0 28 112/31 -3/4 8 1 47/13 -8/11 1 28 29/8 (-3/4,-2/3) 0 28 40/11 0 7 11/3 -2/3 1 28 26/7 0 14 41/11 -4/5 1 28 56/15 -3/4 2 1 15/4 (-3/4,-2/3) 0 28 19/5 -4/5 1 28 23/6 (-3/4,-2/3) 0 28 27/7 -10/13 1 28 4/1 0 7 29/7 -10/13 1 28 25/6 (-8/11,-5/7) 0 28 21/5 -2/3 3 4 59/14 (-4/7,-1/2) 0 28 38/9 0 14 55/13 -2/3 1 28 17/4 (-3/4,-2/3) 0 28 13/3 -2/3 1 28 22/5 0 14 53/12 (-3/4,-2/3) 0 28 84/19 -2/3 4 1 31/7 -2/3 1 28 9/2 (-2/3,-1/2) 0 28 32/7 -1/1 2 7 55/12 (-1/1,-4/5) 0 28 23/5 -2/3 1 28 14/3 (-2/3,0/1) 0 2 5/1 0/1 1 28 11/2 (-4/3,-1/1) 0 28 28/5 -1/1 14 1 17/3 -10/11 1 28 6/1 0 14 19/3 0/1 1 28 13/2 (-1/1,-2/3) 0 28 7/1 (-1/1,-1/2).(-2/3,0/1) 0 4 15/2 (-1/2,0/1) 0 28 8/1 -1/1 2 7 9/1 -2/1 1 28 1/0 (-1/1,0/1) 0 28 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(1,0,2,-1) (0/1,1/1) -> (0/1,1/1) Reflection Matrix(533,-588,126,-139) (1/1,10/9) -> (38/9,55/13) Hyperbolic Matrix(503,-560,150,-167) (10/9,9/8) -> (10/3,47/14) Glide Reflection Matrix(419,-476,272,-309) (9/8,8/7) -> (20/13,37/24) Hyperbolic Matrix(1119,-1288,682,-785) (8/7,15/13) -> (41/25,64/39) Hyperbolic Matrix(699,-812,266,-309) (15/13,7/6) -> (21/8,71/27) Hyperbolic Matrix(309,-364,118,-139) (7/6,6/5) -> (34/13,21/8) Hyperbolic Matrix(1091,-1316,674,-813) (6/5,23/19) -> (89/55,34/21) Hyperbolic Matrix(1063,-1288,600,-727) (23/19,17/14) -> (23/13,39/22) Glide Reflection Matrix(783,-952,644,-783) (17/14,28/23) -> (17/14,28/23) Reflection Matrix(505,-616,414,-505) (28/23,11/9) -> (28/23,11/9) Reflection 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(1653,-2044,520,-643) (21/17,26/21) -> (54/17,35/11) Hyperbolic Matrix(1625,-2016,586,-727) (26/21,5/4) -> (61/22,86/31) Hyperbolic Matrix(421,-532,110,-139) (5/4,19/15) -> (19/5,23/6) Hyperbolic Matrix(419,-532,330,-419) (19/15,14/11) -> (19/15,14/11) Reflection Matrix(197,-252,154,-197) (14/11,9/7) -> (14/11,9/7) Reflection Matrix(391,-504,218,-281) (9/7,22/17) -> (34/19,9/5) Hyperbolic Matrix(561,-728,346,-449) (22/17,13/10) -> (34/21,13/8) Glide Reflection Matrix(365,-476,194,-253) (13/10,30/23) -> (15/8,2/1) Glide Reflection Matrix(2381,-3108,750,-979) (30/23,47/36) -> (19/6,54/17) Hyperbolic Matrix(1093,-1428,708,-925) (47/36,17/13) -> (37/24,17/11) Glide Reflection Matrix(363,-476,106,-139) (17/13,4/3) -> (17/5,24/7) Glide Reflection Matrix(475,-644,104,-141) (4/3,19/14) -> (9/2,32/7) Hyperbolic Matrix(783,-1064,248,-337) (19/14,34/25) -> (22/7,19/6) Hyperbolic Matrix(2325,-3164,884,-1203) (34/25,15/11) -> (71/27,50/19) Hyperbolic Matrix(1065,-1456,286,-391) (15/11,26/19) -> (26/7,41/11) Hyperbolic Matrix(449,-616,164,-225) (26/19,11/8) -> (30/11,11/4) Glide Reflection Matrix(141,-196,100,-139) (11/8,7/5) -> (7/5,17/12) Parabolic Matrix(671,-952,394,-559) (17/12,27/19) -> (17/10,29/17) Glide Reflection Matrix(1063,-1512,670,-953) (27/19,10/7) -> (46/29,27/17) Hyperbolic Matrix(253,-364,98,-141) (10/7,13/9) -> (18/7,13/5) Glide Reflection Matrix(755,-1092,522,-755) (13/9,42/29) -> (13/9,42/29) Reflection Matrix(2241,-3248,928,-1345) (42/29,29/20) -> (70/29,29/12) Glide Reflection Matrix(1119,-1624,308,-447) (29/20,16/11) -> (29/8,40/11) Glide Reflection Matrix(365,-532,212,-309) (16/11,3/2) -> (12/7,31/18) Glide Reflection Matrix(839,-1288,256,-393) (3/2,20/13) -> (36/11,59/18) Hyperbolic Matrix(307,-476,198,-307) (17/11,14/9) -> (17/11,14/9) Reflection Matrix(197,-308,126,-197) (14/9,11/7) -> (14/9,11/7) Reflection Matrix(195,-308,88,-139) (11/7,19/12) -> (11/5,9/4) Glide Reflection Matrix(2101,-3332,582,-923) (19/12,46/29) -> (18/5,65/18) Hyperbolic Matrix(281,-448,106,-169) (27/17,8/5) -> (29/11,8/3) Glide Reflection Matrix(279,-448,104,-167) (8/5,29/18) -> (8/3,27/10) Glide Reflection Matrix(1093,-1764,676,-1091) (29/18,21/13) -> (21/13,55/34) Parabolic Matrix(3807,-6160,830,-1343) (55/34,89/55) -> (55/12,23/5) Glide Reflection Matrix(1065,-1736,446,-727) (13/8,31/19) -> (31/13,43/18) Hyperbolic Matrix(617,-1008,172,-281) (31/19,18/11) -> (25/7,18/5) Glide Reflection Matrix(2101,-3444,1178,-1931) (18/11,41/25) -> (41/23,66/37) Hyperbolic Matrix(2883,-4732,1040,-1707) (64/39,23/14) -> (36/13,61/22) Glide Reflection Matrix(783,-1288,476,-783) (23/14,28/17) -> (23/14,28/17) Reflection Matrix(169,-280,102,-169) (28/17,5/3) -> (28/17,5/3) Reflection Matrix(83,-140,16,-27) (5/3,17/10) -> (5/1,11/2) Glide Reflection Matrix(475,-812,148,-253) (29/17,12/7) -> (16/5,29/9) Hyperbolic Matrix(1933,-3332,438,-755) (31/18,50/29) -> (22/5,53/12) Hyperbolic Matrix(617,-1064,98,-169) (50/29,19/11) -> (6/1,19/3) Glide Reflection Matrix(615,-1064,226,-391) (19/11,26/15) -> (19/7,30/11) Glide Reflection 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(2045,-3612,492,-869) (83/47,53/30) -> (29/7,25/6) Glide Reflection Matrix(1457,-2576,444,-785) (53/30,23/13) -> (59/18,23/7) Glide Reflection Matrix(1737,-3080,410,-727) (39/22,55/31) -> (55/13,17/4) Hyperbolic Matrix(867,-1540,362,-643) (55/31,16/9) -> (55/23,12/5) Glide Reflection Matrix(645,-1148,268,-477) (16/9,41/23) -> (12/5,41/17) Glide Reflection Matrix(2715,-4844,644,-1149) (66/37,25/14) -> (59/14,38/9) Hyperbolic Matrix(2351,-4200,1316,-2351) (25/14,84/47) -> (25/14,84/47) Reflection Matrix(5545,-9912,3102,-5545) (84/47,59/33) -> (84/47,59/33) Reflection Matrix(783,-1400,250,-447) (59/33,34/19) -> (3/1,22/7) Glide Reflection Matrix(139,-252,16,-29) (9/5,20/11) -> (8/1,9/1) Hyperbolic Matrix(337,-616,122,-223) (20/11,11/6) -> (11/4,36/13) Hyperbolic Matrix(197,-364,46,-85) (11/6,13/7) -> (17/4,13/3) Glide Reflection Matrix(391,-728,210,-391) (13/7,28/15) -> (13/7,28/15) Reflection Matrix(449,-840,240,-449) (28/15,15/8) -> (28/15,15/8) Reflection Matrix(141,-308,38,-83) (2/1,11/5) -> (11/3,26/7) Hyperbolic Matrix(85,-196,36,-83) (9/4,7/3) -> (7/3,19/8) Parabolic Matrix(365,-868,82,-195) (19/8,31/13) -> (31/7,9/2) Hyperbolic Matrix(1289,-3080,398,-951) (43/18,55/23) -> (55/17,13/4) Hyperbolic Matrix(2379,-5740,986,-2379) (41/17,70/29) -> (41/17,70/29) Reflection Matrix(393,-952,116,-281) (29/12,17/7) -> (27/8,17/5) Glide Reflection Matrix(195,-476,34,-83) (17/7,22/9) -> (17/3,6/1) Glide Reflection Matrix(811,-1988,308,-755) (22/9,27/11) -> (50/19,29/11) Glide Reflection Matrix(307,-756,80,-197) (27/11,5/2) -> (23/6,27/7) Hyperbolic Matrix(111,-280,44,-111) (5/2,28/11) -> (5/2,28/11) Reflection Matrix(505,-1288,198,-505) (28/11,23/9) -> (28/11,23/9) Reflection Matrix(251,-644,76,-195) (23/9,18/7) -> (23/7,10/3) Glide Reflection Matrix(279,-728,64,-167) (13/5,34/13) -> (13/3,22/5) Glide Reflection Matrix(559,-1512,166,-449) (27/10,19/7) -> (37/11,27/8) Hyperbolic Matrix(1513,-4200,424,-1177) (86/31,25/9) -> (82/23,25/7) Glide Reflection Matrix(251,-700,90,-251) (25/9,14/5) -> (25/9,14/5) Reflection Matrix(29,-84,10,-29) (14/5,3/1) -> (14/5,3/1) Reflection Matrix(755,-2436,234,-755) (29/9,42/13) -> (29/9,42/13) Reflection Matrix(1429,-4620,442,-1429) (42/13,55/17) -> (42/13,55/17) Reflection Matrix(197,-644,26,-85) (13/4,36/11) -> (15/2,8/1) Glide Reflection Matrix(2351,-7896,700,-2351) (47/14,84/25) -> (47/14,84/25) Reflection Matrix(1849,-6216,550,-1849) (84/25,37/11) -> (84/25,37/11) Reflection Matrix(113,-392,32,-111) (24/7,7/2) -> (7/2,32/9) Parabolic Matrix(1007,-3584,220,-783) (32/9,57/16) -> (32/7,55/12) Glide Reflection Matrix(6271,-22344,1760,-6271) (57/16,196/55) -> (57/16,196/55) Reflection Matrix(15289,-54488,4290,-15289) (196/55,139/39) -> (196/55,139/39) Reflection Matrix(4031,-14560,1116,-4031) (65/18,112/31) -> (65/18,112/31) Reflection Matrix(2913,-10528,806,-2913) (112/31,47/13) -> (112/31,47/13) Reflection Matrix(85,-308,8,-29) (47/13,29/8) -> (9/1,1/0) Glide Reflection Matrix(1231,-4592,330,-1231) (41/11,56/15) -> (41/11,56/15) Reflection Matrix(449,-1680,120,-449) (56/15,15/4) -> (56/15,15/4) Reflection Matrix(141,-532,22,-83) (15/4,19/5) -> (19/3,13/2) Hyperbolic Matrix(57,-224,14,-55) (27/7,4/1) -> (4/1,29/7) Parabolic Matrix(421,-1764,100,-419) (25/6,21/5) -> (21/5,59/14) Parabolic Matrix(2015,-8904,456,-2015) (53/12,84/19) -> (53/12,84/19) Reflection Matrix(1177,-5208,266,-1177) (84/19,31/7) -> (84/19,31/7) Reflection Matrix(139,-644,30,-139) (23/5,14/3) -> (23/5,14/3) Reflection Matrix(29,-140,6,-29) (14/3,5/1) -> (14/3,5/1) Reflection Matrix(111,-616,20,-111) (11/2,28/5) -> (11/2,28/5) Reflection Matrix(169,-952,30,-169) (28/5,17/3) -> (28/5,17/3) Reflection Matrix(29,-196,4,-27) (13/2,7/1) -> (7/1,15/2) Parabolic IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(-1,0,2,1) (0/1,1/0) -> (-1/1,0/1) Matrix(1,0,2,-1) -> Matrix(25,24,-26,-25) (0/1,1/1) -> (-1/1,-12/13) Matrix(533,-588,126,-139) -> Matrix(37,34,-49,-45) Matrix(503,-560,150,-167) -> Matrix(159,146,-208,-191) Matrix(419,-476,272,-309) -> Matrix(61,56,-73,-67) Matrix(1119,-1288,682,-785) -> Matrix(825,752,-938,-855) Matrix(699,-812,266,-309) -> Matrix(389,354,-489,-445) Matrix(309,-364,118,-139) -> Matrix(51,46,-61,-55) Matrix(1091,-1316,674,-813) -> Matrix(91,82,-101,-91) (-1/1,-9/10).(-10/11,-8/9) Matrix(1063,-1288,600,-727) -> Matrix(115,104,-136,-123) Matrix(783,-952,644,-783) -> Matrix(559,504,-620,-559) (17/14,28/23) -> (-28/31,-9/10) Matrix(505,-616,414,-505) -> Matrix(161,144,-180,-161) (28/23,11/9) -> (-9/10,-8/9) Matrix(503,-616,138,-169) -> Matrix(7,6,-6,-5) -1/1 Matrix(727,-896,228,-281) -> Matrix(5,4,-4,-3) -1/1 Matrix(1653,-2044,520,-643) -> Matrix(51,46,-61,-55) Matrix(1625,-2016,586,-727) -> Matrix(7,6,-6,-5) -1/1 Matrix(421,-532,110,-139) -> Matrix(31,28,-41,-37) Matrix(419,-532,330,-419) -> Matrix(89,80,-99,-89) (19/15,14/11) -> (-10/11,-8/9) Matrix(197,-252,154,-197) -> Matrix(89,80,-99,-89) (14/11,9/7) -> (-10/11,-8/9) Matrix(391,-504,218,-281) -> Matrix(3,2,-2,-1) -1/1 Matrix(561,-728,346,-449) -> Matrix(19,18,-20,-19) *** -> (-1/1,-9/10) Matrix(365,-476,194,-253) -> Matrix(313,284,-367,-333) Matrix(2381,-3108,750,-979) -> Matrix(203,184,-235,-213) Matrix(1093,-1428,708,-925) -> Matrix(245,222,-277,-251) Matrix(363,-476,106,-139) -> Matrix(9,8,-19,-17) Matrix(475,-644,104,-141) -> Matrix(9,8,1,1) Matrix(783,-1064,248,-337) -> Matrix(105,94,-124,-111) Matrix(2325,-3164,884,-1203) -> Matrix(247,220,-311,-277) Matrix(1065,-1456,286,-391) -> Matrix(67,60,-86,-77) Matrix(449,-616,164,-225) -> Matrix(47,42,-66,-59) Matrix(141,-196,100,-139) -> Matrix(215,192,-243,-217) -8/9 Matrix(671,-952,394,-559) -> Matrix(97,84,-112,-97) *** -> (-7/8,-6/7) Matrix(1063,-1512,670,-953) -> Matrix(1,2,-2,-3) -1/1 Matrix(253,-364,98,-141) -> Matrix(23,20,-31,-27) Matrix(755,-1092,522,-755) -> Matrix(199,176,-225,-199) (13/9,42/29) -> (-8/9,-22/25) Matrix(2241,-3248,928,-1345) -> Matrix(93,82,-110,-97) Matrix(1119,-1624,308,-447) -> Matrix(11,10,-12,-11) *** -> (-1/1,-5/6) Matrix(365,-532,212,-309) -> Matrix(69,62,-79,-71) Matrix(839,-1288,256,-393) -> Matrix(77,68,-94,-83) Matrix(307,-476,198,-307) -> Matrix(55,48,-63,-55) (17/11,14/9) -> (-8/9,-6/7) Matrix(197,-308,126,-197) -> Matrix(55,48,-63,-55) (14/9,11/7) -> (-8/9,-6/7) Matrix(195,-308,88,-139) -> Matrix(39,34,-47,-41) Matrix(2101,-3332,582,-923) -> Matrix(37,34,-49,-45) Matrix(281,-448,106,-169) -> Matrix(59,52,-76,-67) Matrix(279,-448,104,-167) -> Matrix(59,52,-76,-67) Matrix(1093,-1764,676,-1091) -> Matrix(57,50,-65,-57) (-1/1,-7/8).(-8/9,-6/7) Matrix(3807,-6160,830,-1343) -> Matrix(11,10,-12,-11) *** -> (-1/1,-5/6) Matrix(1065,-1736,446,-727) -> Matrix(3,2,-2,-1) -1/1 Matrix(617,-1008,172,-281) -> Matrix(59,52,-76,-67) Matrix(2101,-3444,1178,-1931) -> Matrix(73,64,-81,-71) -8/9 Matrix(2883,-4732,1040,-1707) -> Matrix(9,8,-1,-1) Matrix(783,-1288,476,-783) -> Matrix(575,504,-656,-575) (23/14,28/17) -> (-36/41,-7/8) Matrix(169,-280,102,-169) -> Matrix(97,84,-112,-97) (28/17,5/3) -> (-7/8,-6/7) Matrix(83,-140,16,-27) -> Matrix(7,6,-15,-13) Matrix(475,-812,148,-253) -> Matrix(25,22,-33,-29) Matrix(1933,-3332,438,-755) -> Matrix(9,8,-17,-15) Matrix(617,-1064,98,-169) -> Matrix(9,8,-10,-9) *** -> (-1/1,-4/5) Matrix(615,-1064,226,-391) -> Matrix(37,32,-52,-45) Matrix(225,-392,128,-223) -> Matrix(83,72,-98,-85) -6/7 Matrix(6217,-10976,1744,-3079) -> Matrix(1,2,-2,-3) -1/1 Matrix(2045,-3612,492,-869) -> Matrix(29,26,-39,-35) Matrix(1457,-2576,444,-785) -> Matrix(67,58,-82,-71) Matrix(1737,-3080,410,-727) -> Matrix(3,2,-2,-1) -1/1 Matrix(867,-1540,362,-643) -> Matrix(19,14,-23,-17) Matrix(645,-1148,268,-477) -> Matrix(39,34,-47,-41) Matrix(2715,-4844,644,-1149) -> Matrix(9,8,-17,-15) Matrix(2351,-4200,1316,-2351) -> Matrix(9,8,-10,-9) (25/14,84/47) -> (-1/1,-4/5) Matrix(5545,-9912,3102,-5545) -> Matrix(29,28,-30,-29) (84/47,59/33) -> (-1/1,-14/15) Matrix(783,-1400,250,-447) -> Matrix(17,16,-18,-17) *** -> (-1/1,-8/9) Matrix(139,-252,16,-29) -> Matrix(7,6,1,1) Matrix(337,-616,122,-223) -> Matrix(53,46,-68,-59) Matrix(197,-364,46,-85) -> Matrix(51,44,-73,-63) Matrix(391,-728,210,-391) -> Matrix(433,372,-504,-433) (13/7,28/15) -> (-31/36,-6/7) Matrix(449,-840,240,-449) -> Matrix(575,492,-672,-575) (28/15,15/8) -> (-6/7,-41/48) Matrix(141,-308,38,-83) -> Matrix(19,16,-25,-21) -4/5 Matrix(85,-196,36,-83) -> Matrix(31,26,-37,-31) (-1/1,-5/6).(-6/7,-4/5) Matrix(365,-868,82,-195) -> Matrix(9,8,-17,-15) Matrix(1289,-3080,398,-951) -> Matrix(59,50,-72,-61) -5/6 Matrix(2379,-5740,986,-2379) -> Matrix(29,24,-35,-29) (41/17,70/29) -> (-6/7,-4/5) Matrix(393,-952,116,-281) -> Matrix(9,8,-10,-9) *** -> (-1/1,-4/5) Matrix(195,-476,34,-83) -> Matrix(41,34,-47,-39) Matrix(811,-1988,308,-755) -> Matrix(231,190,-293,-241) Matrix(307,-756,80,-197) -> Matrix(7,6,-13,-11) Matrix(111,-280,44,-111) -> Matrix(89,72,-110,-89) (5/2,28/11) -> (-9/11,-4/5) Matrix(505,-1288,198,-505) -> Matrix(231,184,-290,-231) (28/11,23/9) -> (-4/5,-23/29) Matrix(251,-644,76,-195) -> Matrix(51,40,-65,-51) *** -> (-4/5,-10/13) Matrix(279,-728,64,-167) -> Matrix(13,10,-22,-17) Matrix(559,-1512,166,-449) -> Matrix(23,18,-32,-25) -3/4 Matrix(1513,-4200,424,-1177) -> Matrix(9,8,-10,-9) *** -> (-1/1,-4/5) Matrix(251,-700,90,-251) -> Matrix(11,8,-15,-11) (25/9,14/5) -> (-4/5,-2/3) Matrix(29,-84,10,-29) -> Matrix(11,8,-15,-11) (14/5,3/1) -> (-4/5,-2/3) Matrix(755,-2436,234,-755) -> Matrix(29,24,-35,-29) (29/9,42/13) -> (-6/7,-4/5) Matrix(1429,-4620,442,-1429) -> Matrix(29,24,-35,-29) (42/13,55/17) -> (-6/7,-4/5) Matrix(197,-644,26,-85) -> Matrix(5,4,-11,-9) Matrix(2351,-7896,700,-2351) -> Matrix(223,168,-296,-223) (47/14,84/25) -> (-28/37,-3/4) Matrix(1849,-6216,550,-1849) -> Matrix(113,84,-152,-113) (84/25,37/11) -> (-3/4,-14/19) Matrix(113,-392,32,-111) -> Matrix(1,0,0,1) Matrix(1007,-3584,220,-783) -> Matrix(5,4,-6,-5) *** -> (-1/1,-2/3) Matrix(6271,-22344,1760,-6271) -> Matrix(-1,0,2,1) (57/16,196/55) -> (-1/1,0/1) Matrix(15289,-54488,4290,-15289) -> Matrix(29,28,-30,-29) (196/55,139/39) -> (-1/1,-14/15) Matrix(4031,-14560,1116,-4031) -> Matrix(127,96,-168,-127) (65/18,112/31) -> (-16/21,-3/4) Matrix(2913,-10528,806,-2913) -> Matrix(65,48,-88,-65) (112/31,47/13) -> (-3/4,-8/11) Matrix(85,-308,8,-29) -> Matrix(3,2,-7,-5) Matrix(1231,-4592,330,-1231) -> Matrix(31,24,-40,-31) (41/11,56/15) -> (-4/5,-3/4) Matrix(449,-1680,120,-449) -> Matrix(17,12,-24,-17) (56/15,15/4) -> (-3/4,-2/3) Matrix(141,-532,22,-83) -> Matrix(5,4,-9,-7) -2/3 Matrix(57,-224,14,-55) -> Matrix(1,0,0,1) Matrix(421,-1764,100,-419) -> Matrix(17,12,-27,-19) -2/3 Matrix(2015,-8904,456,-2015) -> Matrix(17,12,-24,-17) (53/12,84/19) -> (-3/4,-2/3) Matrix(1177,-5208,266,-1177) -> Matrix(31,20,-48,-31) (84/19,31/7) -> (-2/3,-5/8) Matrix(139,-644,30,-139) -> Matrix(-1,0,3,1) (23/5,14/3) -> (-2/3,0/1) Matrix(29,-140,6,-29) -> Matrix(-1,0,3,1) (14/3,5/1) -> (-2/3,0/1) Matrix(111,-616,20,-111) -> Matrix(7,8,-6,-7) (11/2,28/5) -> (-4/3,-1/1) Matrix(169,-952,30,-169) -> Matrix(21,20,-22,-21) (28/5,17/3) -> (-1/1,-10/11) Matrix(29,-196,4,-27) -> Matrix(3,2,-5,-3) (-1/1,-1/2).(-2/3,0/1) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.