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): 2016 Minimal number of generators: 337 Number of equivalence classes of cusps: 96 Genus: 121 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -11/13 -10/13 -9/13 -25/39 -8/13 -7/13 -1/2 -6/13 -47/104 -87/208 -5/12 -5/13 -79/208 -19/52 -14/39 -9/26 -4/13 -31/104 -15/52 -29/104 -5/18 -55/208 -1/4 -3/13 -5/22 -3/14 -11/52 -5/24 -3/16 -4/23 -9/52 -1/6 -2/13 -3/20 -3/22 -7/52 -1/8 -2/17 -3/26 -1/10 -1/11 0/1 1/10 1/9 1/8 2/15 1/7 3/20 2/13 3/19 1/6 3/17 2/11 3/16 4/21 5/26 1/5 5/24 4/19 3/14 5/23 2/9 3/13 5/21 6/25 1/4 7/26 5/18 7/25 2/7 4/13 1/3 14/39 5/13 51/130 2/5 5/12 11/26 6/13 7/15 1/2 7/13 15/26 79/130 8/13 25/39 17/26 2/3 9/13 19/26 10/13 21/26 11/13 23/26 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 -1/1 0/1 -9/10 0/1 -8/9 -5/4 -7/8 -1/1 -13/15 -1/1 0/1 -6/7 -1/2 -17/20 -3/5 -11/13 -1/2 -27/32 -1/3 -16/19 -1/4 -5/6 0/1 -14/17 -1/2 -9/11 -1/1 0/1 -13/16 -1/1 -30/37 -3/2 -17/21 -8/7 -1/1 -21/26 -1/1 -4/5 -3/4 -19/24 -1/1 -34/43 -3/2 -15/19 -2/1 -1/1 -11/14 -4/5 -40/51 -3/4 -29/37 -8/11 -5/7 -18/23 -7/10 -7/9 -2/3 -3/5 -24/31 -5/8 -41/53 -14/23 -3/5 -17/22 -4/7 -10/13 -1/2 -13/17 -1/3 0/1 -16/21 -1/4 -19/25 -1/7 0/1 -3/4 -1/1 -20/27 -1/8 -17/23 0/1 1/1 -14/19 -1/2 -39/53 -1/1 -2/3 -64/87 1/0 -25/34 0/1 -11/15 -2/1 -1/1 -19/26 -1/1 -8/11 -3/4 -21/29 -1/1 -4/5 -13/18 -2/3 -18/25 -11/18 -23/32 -5/9 -5/7 -1/1 0/1 -22/31 -1/2 -17/24 -1/1 -29/41 -1/1 -2/3 -12/17 -3/4 -19/27 -2/3 -3/5 -45/64 -1/1 -26/37 -1/2 -33/47 -9/13 -2/3 -7/10 -2/3 -30/43 -13/22 -23/33 -3/5 -10/17 -16/23 -9/16 -9/13 -1/2 -11/16 -1/3 -35/51 -2/5 -1/3 -24/35 -1/4 -13/19 -1/1 0/1 -2/3 -1/2 -13/20 -1/1 -24/37 1/0 -11/17 -1/1 0/1 -20/31 1/0 -29/45 -2/1 -1/1 -9/14 -2/3 -34/53 -1/2 -25/39 -1/2 -41/64 -9/19 -16/25 -7/16 -7/11 -1/3 0/1 -19/30 0/1 -31/49 -1/1 -2/3 -12/19 1/0 -29/46 0/1 -46/73 -1/2 -17/27 0/1 1/1 -22/35 -1/2 -5/8 -1/1 -23/37 -1/1 -4/5 -18/29 -1/2 -49/79 -17/25 -2/3 -31/50 -2/3 -13/21 -2/3 -3/5 -8/13 -1/2 -19/31 -4/9 -3/7 -30/49 -1/2 -41/67 -4/9 -3/7 -11/18 -2/5 -14/23 -1/2 -31/51 -10/29 -1/3 -79/130 -1/3 -48/79 -13/40 -17/28 -1/3 -3/5 -1/3 0/1 -22/37 1/2 -19/32 1/1 -16/27 -5/4 -29/49 -1/1 -4/5 -13/22 -2/3 -10/17 -1/2 -27/46 -2/5 -17/29 -1/3 -2/7 -24/41 -1/4 -31/53 -1/3 0/1 -7/12 -1/3 -32/55 -1/4 -57/98 0/1 -25/43 -1/5 0/1 -18/31 -1/6 -29/50 0/1 -40/69 -1/4 -11/19 -1/7 0/1 -15/26 0/1 -4/7 1/0 -21/37 -2/1 -1/1 -17/30 -2/3 -30/53 -1/2 -13/23 -1/1 -2/3 -9/16 -1/3 -23/41 -1/3 -2/7 -14/25 -3/14 -19/34 0/1 -5/9 0/1 1/1 -16/29 -1/4 -11/20 1/1 -28/51 1/0 -17/31 -2/1 -1/1 -23/42 0/1 -29/53 -1/1 0/1 -6/11 -1/2 -13/24 -1/1 -7/13 -1/2 -15/28 -1/3 -8/15 -1/4 -9/17 -1/3 0/1 -1/2 0/1 -8/17 1/0 -7/15 0/1 1/1 -6/13 1/0 -17/37 -2/1 -1/1 -28/61 -5/4 -11/24 -1/1 -5/11 -1/1 0/1 -19/42 -2/1 -33/73 -4/3 -1/1 -47/104 -1/1 -14/31 -1/2 -23/51 -1/1 -4/5 -32/71 -3/4 -9/20 -1/1 -4/9 -1/4 -11/25 0/1 1/1 -7/16 1/1 -17/39 1/0 -10/23 -3/2 -23/53 -1/1 -6/7 -13/30 0/1 -3/7 -1/3 0/1 -11/26 0/1 -8/19 1/8 -29/69 0/1 1/5 -21/50 0/1 -13/31 0/1 1/5 -18/43 3/10 -41/98 0/1 -64/153 1/4 -87/208 1/3 -23/55 0/1 1/3 -5/12 1/3 -12/29 3/4 -7/17 1/1 2/1 -16/39 1/0 -9/22 0/1 -11/27 -1/1 0/1 -2/5 1/2 -11/28 1/1 -31/79 1/1 2/1 -51/130 2/1 -20/51 1/0 -9/23 0/1 1/1 -7/18 2/1 -5/13 1/0 -13/34 -4/1 -21/55 -4/1 -3/1 -50/131 -31/10 -29/76 -3/1 -8/21 1/0 -19/50 -2/1 -49/129 -27/13 -2/1 -79/208 -2/1 -30/79 -19/10 -11/29 -2/1 -1/1 -14/37 -3/2 -3/8 -1/1 -10/27 -7/10 -27/73 -8/13 -3/5 -44/119 -7/12 -17/46 -4/7 -7/19 -1/3 0/1 -18/49 -1/2 -29/79 -1/3 0/1 -11/30 0/1 -15/41 -1/5 0/1 -19/52 0/1 -4/11 1/0 -9/25 -1/1 0/1 -23/64 1/1 -14/39 1/0 -33/92 -1/1 -19/53 -2/1 -1/1 -5/14 0/1 -11/31 -1/1 0/1 -6/17 -1/2 -13/37 -1/3 0/1 -7/20 -1/3 -8/23 -1/8 -9/26 0/1 -1/3 0/1 1/1 -6/19 3/2 -11/35 2/1 3/1 -16/51 1/0 -5/16 3/1 -4/13 1/0 -11/36 -7/1 -7/23 -5/1 -4/1 -10/33 -7/2 -13/43 -3/1 -2/1 -3/10 -2/1 -17/57 -11/5 -2/1 -31/104 -2/1 -14/47 -11/6 -11/37 -2/1 -5/3 -30/101 -3/2 -19/64 -11/7 -8/27 -11/8 -13/44 -1/1 -18/61 -15/14 -23/78 -1/1 -5/17 -1/1 -2/3 -7/24 -1/1 -23/79 -1/1 0/1 -16/55 1/0 -9/31 -2/1 -1/1 -11/38 -2/1 -13/45 -6/5 -1/1 -15/52 -1/1 -2/7 -1/2 -9/32 -1/3 -25/89 -1/3 0/1 -16/57 1/0 -7/25 -1/3 0/1 -12/43 -1/8 -29/104 0/1 -17/61 0/1 1/9 -5/18 0/1 -8/29 1/0 -11/40 -3/5 -25/91 -1/2 -14/51 -1/2 -3/11 -1/3 0/1 -7/26 0/1 -4/15 1/4 -17/64 1/3 -13/49 0/1 1/3 -9/34 0/1 -32/121 1/4 -55/208 1/3 -23/87 1/3 2/5 -14/53 1/2 -5/19 2/3 1/1 -6/23 -1/2 -7/27 0/1 1/7 -1/4 1/1 -6/25 13/6 -5/21 3/1 4/1 -4/17 1/0 -3/13 1/0 -8/35 1/0 -5/22 -6/1 -12/53 1/0 -7/31 -5/1 -4/1 -2/9 -5/2 -7/32 -1/1 -12/55 1/0 -17/78 -2/1 -5/23 -2/1 -1/1 -8/37 1/0 -19/88 -1/1 -11/51 -1/1 0/1 -3/14 -2/1 -7/33 -8/7 -1/1 -11/52 -1/1 -4/19 -3/4 -9/43 -1/1 0/1 -23/110 0/1 -14/67 -1/2 -5/24 -1/1 -1/5 -1/1 0/1 -5/26 0/1 -4/21 1/4 -11/58 0/1 -18/95 3/10 -7/37 0/1 1/3 -10/53 1/2 -3/16 1/1 -5/27 0/1 1/1 -2/11 1/2 -5/28 1/1 -3/17 1/1 2/1 -4/23 3/4 -9/52 1/1 -5/29 1/1 6/5 -1/6 2/1 -3/19 6/1 7/1 -2/13 1/0 -5/33 -12/1 -11/1 -8/53 1/0 -3/20 -7/1 -1/7 -3/1 -2/1 -3/22 -2/1 -5/37 -6/5 -1/1 -7/52 -1/1 -2/15 -1/2 -1/8 -1/1 -2/17 -1/2 -3/26 0/1 -1/9 0/1 1/1 -1/10 0/1 -1/11 1/1 2/1 0/1 1/0 1/10 -2/1 1/9 -3/1 -2/1 1/8 -1/1 2/15 -3/2 1/7 0/1 1/1 3/20 5/1 2/13 1/0 5/32 -13/1 3/19 -9/1 -8/1 1/6 -4/1 3/17 -4/1 -3/1 2/11 -5/2 3/16 -3/1 7/37 -7/3 -2/1 4/21 -9/4 5/26 -2/1 1/5 -2/1 -1/1 5/24 -1/1 9/43 -2/1 -1/1 4/19 -5/4 3/14 0/1 11/51 -2/1 -1/1 8/37 1/0 5/23 -1/1 0/1 2/9 1/2 7/31 2/1 3/1 12/53 1/0 5/22 4/1 3/13 1/0 4/17 1/0 5/21 -6/1 -5/1 6/25 -25/6 1/4 -3/1 7/27 -15/7 -2/1 6/23 -3/2 5/19 -3/1 -8/3 14/53 -5/2 23/87 -12/5 -7/3 9/34 -2/1 4/15 -9/4 7/26 -2/1 3/11 -2/1 -5/3 8/29 1/0 5/18 -2/1 7/25 -2/1 -5/3 9/32 -5/3 2/7 -3/2 9/31 -1/1 0/1 7/24 -1/1 12/41 1/0 5/17 -4/3 -1/1 8/27 -5/8 19/64 -3/7 11/37 -1/3 0/1 14/47 -1/6 3/10 0/1 13/43 0/1 1/1 10/33 3/2 7/23 2/1 3/1 4/13 1/0 5/16 -5/1 16/51 1/0 11/35 -5/1 -4/1 6/19 -7/2 1/3 -3/1 -2/1 7/20 -5/3 13/37 -2/1 -5/3 6/17 -3/2 11/31 -2/1 -1/1 16/45 -5/4 5/14 -2/1 19/53 -1/1 0/1 14/39 1/0 23/64 -3/1 9/25 -2/1 -1/1 4/11 1/0 11/30 -2/1 18/49 -3/2 7/19 -2/1 -5/3 17/46 -10/7 27/73 -7/5 -18/13 10/27 -13/10 13/35 -10/9 -1/1 3/8 -1/1 14/37 -1/2 11/29 -1/1 0/1 30/79 -1/10 19/50 0/1 8/21 1/0 5/13 1/0 12/31 1/0 19/49 -5/1 -4/1 26/67 -9/2 7/18 -4/1 9/23 -3/1 -2/1 20/51 1/0 51/130 -4/1 31/79 -4/1 -3/1 11/28 -3/1 2/5 -5/2 15/37 -2/1 -1/1 13/32 -1/1 11/27 -2/1 -1/1 20/49 1/0 9/22 -2/1 7/17 -4/1 -3/1 19/46 -4/1 12/29 -11/4 17/41 -8/3 -13/5 22/53 -5/2 5/12 -7/3 23/55 -7/3 -2/1 41/98 -2/1 18/43 -23/10 13/31 -11/5 -2/1 21/50 -2/1 29/69 -11/5 -2/1 8/19 -17/8 11/26 -2/1 3/7 -2/1 -5/3 16/37 -5/4 13/30 -2/1 23/53 -8/7 -1/1 10/23 -1/2 7/16 -3/1 18/41 -5/2 11/25 -3/1 -2/1 15/34 -2/1 4/9 -7/4 13/29 -2/1 -1/1 9/20 -1/1 23/51 -6/5 -1/1 14/31 -3/2 19/42 0/1 24/53 1/0 5/11 -2/1 -1/1 11/24 -1/1 6/13 1/0 13/28 -3/1 7/15 -3/1 -2/1 8/17 1/0 1/2 -2/1 9/17 -2/1 -5/3 8/15 -7/4 7/13 -3/2 20/37 -5/4 33/61 -4/3 -1/1 13/24 -1/1 6/11 -3/2 23/42 -2/1 40/73 -5/4 57/104 -1/1 17/31 -1/1 0/1 28/51 1/0 39/71 1/1 2/1 11/20 -3/1 5/9 -3/1 -2/1 14/25 -25/14 9/16 -5/3 22/39 -3/2 13/23 -4/3 -1/1 30/53 -3/2 17/30 -4/3 4/7 1/0 15/26 -2/1 11/19 -2/1 -13/7 40/69 -7/4 29/50 -2/1 18/31 -11/6 25/43 -2/1 -9/5 57/98 -2/1 89/153 -2/1 -9/5 121/208 -9/5 32/55 -7/4 7/12 -5/3 17/29 -12/7 -5/3 10/17 -3/2 23/39 -3/2 13/22 -4/3 16/27 -3/4 3/5 -2/1 -5/3 17/28 -5/3 48/79 -67/40 79/130 -5/3 31/51 -5/3 -48/29 14/23 -3/2 11/18 -8/5 8/13 -3/2 21/34 -10/7 34/55 -3/2 81/131 -10/7 -7/5 47/76 -7/5 13/21 -7/5 -4/3 31/50 -4/3 80/129 -59/44 129/208 -4/3 49/79 -4/3 -33/25 18/29 -3/2 23/37 -6/5 -1/1 5/8 -1/1 17/27 -3/1 -2/1 46/73 -3/2 75/119 -2/1 -5/3 29/46 -2/1 12/19 1/0 31/49 -4/3 -1/1 50/79 -5/6 19/30 -2/1 26/41 -5/2 33/52 -2/1 7/11 -2/1 -5/3 16/25 -25/16 41/64 -29/19 25/39 -3/2 59/92 -37/25 34/53 -3/2 9/14 -4/3 20/31 1/0 11/17 -2/1 -1/1 24/37 1/0 13/20 -1/1 15/23 -2/1 -1/1 17/26 -2/1 2/3 -3/2 13/19 -2/1 -1/1 24/35 -7/4 35/51 -5/3 -8/5 11/16 -5/3 9/13 -3/2 25/36 -19/13 16/23 -23/16 23/33 -24/17 -7/5 30/43 -31/22 7/10 -4/3 40/57 -27/20 73/104 -4/3 33/47 -4/3 -17/13 26/37 -3/2 71/101 -4/3 -1/1 45/64 -1/1 19/27 -7/5 -4/3 31/44 -1/1 43/61 -7/5 -4/3 55/78 -4/3 12/17 -5/4 17/24 -1/1 56/79 -7/8 39/55 -2/1 -1/1 22/31 -3/2 27/38 -6/5 32/45 -9/8 37/52 -1/1 5/7 -2/1 -1/1 23/32 -13/9 64/89 -23/16 41/57 -10/7 -27/19 18/25 -25/18 31/43 -31/23 -4/3 75/104 -4/3 44/61 -37/28 13/18 -4/3 21/29 -6/5 -1/1 29/40 -1/1 66/91 -5/4 37/51 -4/3 -1/1 8/11 -5/4 19/26 -1/1 11/15 -1/1 0/1 47/64 -3/1 36/49 1/0 25/34 -2/1 89/121 -4/3 -1/1 153/208 -1/1 64/87 1/0 39/53 -4/3 -1/1 14/19 -3/2 17/23 -3/1 -2/1 20/27 -15/8 3/4 -1/1 19/25 -2/1 -13/7 16/21 -7/4 13/17 -2/1 -5/3 10/13 -3/2 27/35 -16/11 -13/9 17/22 -10/7 41/53 -7/5 -32/23 24/31 -11/8 7/9 -7/5 -4/3 25/32 -7/5 43/55 -23/17 -4/3 61/78 -4/3 18/23 -13/10 29/37 -9/7 -14/11 69/88 -19/15 40/51 -5/4 11/14 -6/5 26/33 -11/10 41/52 -1/1 15/19 -1/1 0/1 34/43 -1/2 87/110 -2/1 53/67 -2/1 -1/1 19/24 -1/1 4/5 -5/4 21/26 -1/1 17/21 -1/1 -6/7 47/58 -2/3 77/95 -1/1 -2/3 30/37 -1/2 43/53 -1/1 0/1 13/16 -1/1 22/27 3/2 9/11 -2/1 -1/1 23/28 -1/1 14/17 -3/2 19/23 -6/5 -1/1 43/52 -1/1 24/29 -3/4 5/6 -2/1 16/19 -7/4 11/13 -3/2 28/33 -17/12 45/53 -24/17 -7/5 17/20 -7/5 6/7 -3/2 19/22 -6/5 32/37 -9/8 45/52 -1/1 13/15 -2/1 -1/1 7/8 -1/1 15/17 -14/13 -1/1 23/26 -1/1 8/9 -3/4 9/10 -2/1 10/11 -3/2 1/1 -2/1 -1/1 1/0 -1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(313,284,-572,-519) (-1/1,-9/10) -> (-23/42,-29/53) Hyperbolic Matrix(363,326,520,467) (-9/10,-8/9) -> (30/43,7/10) Hyperbolic Matrix(261,230,-884,-779) (-8/9,-7/8) -> (-13/44,-18/61) Hyperbolic Matrix(259,226,416,363) (-7/8,-13/15) -> (23/37,5/8) Hyperbolic Matrix(207,178,-364,-313) (-13/15,-6/7) -> (-4/7,-21/37) Hyperbolic Matrix(103,88,364,311) (-6/7,-17/20) -> (9/32,2/7) Hyperbolic Matrix(571,484,-676,-573) (-17/20,-11/13) -> (-11/13,-27/32) Parabolic Matrix(1195,1008,-2652,-2237) (-27/32,-16/19) -> (-32/71,-9/20) Hyperbolic Matrix(623,524,988,831) (-16/19,-5/6) -> (29/46,12/19) Hyperbolic Matrix(519,428,-884,-729) (-5/6,-14/17) -> (-10/17,-27/46) Hyperbolic Matrix(625,514,-884,-727) (-14/17,-9/11) -> (-29/41,-12/17) Hyperbolic Matrix(467,380,-832,-677) (-9/11,-13/16) -> (-9/16,-23/41) Hyperbolic Matrix(831,674,-3848,-3121) (-13/16,-30/37) -> (-8/37,-19/88) Hyperbolic Matrix(1923,1558,-5200,-4213) (-30/37,-17/21) -> (-27/73,-44/119) Hyperbolic Matrix(883,714,1092,883) (-17/21,-21/26) -> (21/26,17/21) Hyperbolic Matrix(209,168,260,209) (-21/26,-4/5) -> (4/5,21/26) Hyperbolic Matrix(103,82,260,207) (-4/5,-19/24) -> (11/28,2/5) Hyperbolic Matrix(1145,906,-2496,-1975) (-19/24,-34/43) -> (-28/61,-11/24) Hyperbolic Matrix(1559,1232,2236,1767) (-34/43,-15/19) -> (23/33,30/43) Hyperbolic Matrix(155,122,-728,-573) (-15/19,-11/14) -> (-3/14,-7/33) Hyperbolic Matrix(935,734,1456,1143) (-11/14,-40/51) -> (34/53,9/14) Hyperbolic Matrix(727,570,-3848,-3017) (-40/51,-29/37) -> (-7/37,-10/53) Hyperbolic Matrix(1195,936,1924,1507) (-29/37,-18/23) -> (18/29,23/37) Hyperbolic Matrix(259,202,-468,-365) (-18/23,-7/9) -> (-5/9,-16/29) Hyperbolic Matrix(937,726,1612,1249) (-7/9,-24/31) -> (18/31,25/43) Hyperbolic Matrix(1455,1126,3224,2495) (-24/31,-41/53) -> (23/51,14/31) Hyperbolic Matrix(1195,924,2756,2131) (-41/53,-17/22) -> (13/30,23/53) Hyperbolic Matrix(469,362,-1144,-883) (-17/22,-10/13) -> (-16/39,-9/22) Hyperbolic Matrix(363,278,-884,-677) (-10/13,-13/17) -> (-7/17,-16/39) Hyperbolic Matrix(571,436,884,675) (-13/17,-16/21) -> (20/31,11/17) Hyperbolic Matrix(1507,1146,2392,1819) (-16/21,-19/25) -> (17/27,46/73) Hyperbolic Matrix(53,40,208,157) (-19/25,-3/4) -> (1/4,7/27) Hyperbolic Matrix(51,38,208,155) (-3/4,-20/27) -> (6/25,1/4) Hyperbolic Matrix(987,730,2600,1923) (-20/27,-17/23) -> (11/29,30/79) Hyperbolic Matrix(363,268,1196,883) (-17/23,-14/19) -> (10/33,7/23) Hyperbolic Matrix(2133,1570,-4732,-3483) (-14/19,-39/53) -> (-23/51,-32/71) Hyperbolic Matrix(4317,3176,6292,4629) (-39/53,-64/87) -> (24/35,35/51) Hyperbolic Matrix(1871,1376,-7072,-5201) (-64/87,-25/34) -> (-9/34,-32/121) Hyperbolic Matrix(1559,1146,-2548,-1873) (-25/34,-11/15) -> (-41/67,-11/18) Hyperbolic Matrix(571,418,780,571) (-11/15,-19/26) -> (19/26,11/15) Hyperbolic Matrix(417,304,572,417) (-19/26,-8/11) -> (8/11,19/26) Hyperbolic Matrix(883,640,-1508,-1093) (-8/11,-21/29) -> (-17/29,-24/41) Hyperbolic Matrix(365,264,936,677) (-21/29,-13/18) -> (7/18,9/23) Hyperbolic Matrix(727,524,-1300,-937) (-13/18,-18/25) -> (-14/25,-19/34) Hyperbolic Matrix(987,710,-1664,-1197) (-18/25,-23/32) -> (-19/32,-16/27) Hyperbolic Matrix(53,38,364,261) (-23/32,-5/7) -> (1/7,3/20) Hyperbolic Matrix(1039,738,-1612,-1145) (-5/7,-22/31) -> (-20/31,-29/45) Hyperbolic Matrix(1091,774,-2860,-2029) (-22/31,-17/24) -> (-29/76,-8/21) Hyperbolic Matrix(571,404,1248,883) (-17/24,-29/41) -> (5/11,11/24) Hyperbolic Matrix(883,622,-1404,-989) (-12/17,-19/27) -> (-17/27,-22/35) Hyperbolic Matrix(1197,842,3328,2341) (-19/27,-45/64) -> (23/64,9/25) Hyperbolic Matrix(885,622,-3328,-2339) (-45/64,-26/37) -> (-4/15,-17/64) Hyperbolic Matrix(1145,804,-1924,-1351) (-26/37,-33/47) -> (-3/5,-22/37) Hyperbolic Matrix(311,218,-1040,-729) (-33/47,-7/10) -> (-3/10,-17/57) Hyperbolic Matrix(467,326,520,363) (-7/10,-30/43) -> (8/9,9/10) Hyperbolic Matrix(1767,1232,2236,1559) (-30/43,-23/33) -> (15/19,34/43) Hyperbolic Matrix(313,218,1196,833) (-23/33,-16/23) -> (6/23,5/19) Hyperbolic Matrix(521,362,-1196,-831) (-16/23,-9/13) -> (-17/39,-10/23) Hyperbolic Matrix(363,250,-832,-573) (-9/13,-11/16) -> (-7/16,-17/39) Hyperbolic Matrix(1351,928,1664,1143) (-11/16,-35/51) -> (43/53,13/16) Hyperbolic Matrix(4629,3176,6292,4317) (-35/51,-24/35) -> (64/87,39/53) Hyperbolic Matrix(1145,784,1976,1353) (-24/35,-13/19) -> (11/19,40/69) Hyperbolic Matrix(363,248,988,675) (-13/19,-2/3) -> (18/49,7/19) Hyperbolic Matrix(261,170,-1196,-779) (-2/3,-13/20) -> (-7/32,-12/55) Hyperbolic Matrix(1143,742,-1924,-1249) (-13/20,-24/37) -> (-22/37,-19/32) Hyperbolic Matrix(469,304,884,573) (-24/37,-11/17) -> (9/17,8/15) Hyperbolic Matrix(675,436,884,571) (-11/17,-20/31) -> (16/21,13/17) Hyperbolic Matrix(677,436,-2340,-1507) (-29/45,-9/14) -> (-11/38,-13/45) Hyperbolic Matrix(1143,734,1456,935) (-9/14,-34/53) -> (40/51,11/14) Hyperbolic Matrix(1871,1200,-6812,-4369) (-34/53,-25/39) -> (-25/91,-14/51) Hyperbolic Matrix(2029,1300,-7384,-4731) (-25/39,-41/64) -> (-11/40,-25/91) Hyperbolic Matrix(987,632,3328,2131) (-41/64,-16/25) -> (8/27,19/64) Hyperbolic Matrix(729,466,-1300,-831) (-16/25,-7/11) -> (-23/41,-14/25) Hyperbolic Matrix(571,362,-1560,-989) (-7/11,-19/30) -> (-11/30,-15/41) Hyperbolic Matrix(1507,954,-2548,-1613) (-19/30,-31/49) -> (-29/49,-13/22) Hyperbolic Matrix(313,198,988,625) (-31/49,-12/19) -> (6/19,1/3) Hyperbolic Matrix(831,524,988,623) (-12/19,-29/46) -> (5/6,16/19) Hyperbolic Matrix(987,622,-5200,-3277) (-29/46,-46/73) -> (-4/21,-11/58) Hyperbolic Matrix(1819,1146,2392,1507) (-46/73,-17/27) -> (19/25,16/21) Hyperbolic Matrix(51,32,-416,-261) (-22/35,-5/8) -> (-1/8,-2/17) Hyperbolic Matrix(363,226,416,259) (-5/8,-23/37) -> (13/15,7/8) Hyperbolic Matrix(1507,936,1924,1195) (-23/37,-18/29) -> (18/23,29/37) Hyperbolic Matrix(677,420,2600,1613) (-18/29,-49/79) -> (7/27,6/23) Hyperbolic Matrix(3951,2450,-10400,-6449) (-49/79,-31/50) -> (-19/50,-49/129) Hyperbolic Matrix(1091,676,2600,1611) (-31/50,-13/21) -> (13/31,21/50) Hyperbolic Matrix(415,256,-676,-417) (-13/21,-8/13) -> (-8/13,-19/31) Parabolic Matrix(937,574,-3224,-1975) (-19/31,-30/49) -> (-16/55,-9/31) Hyperbolic Matrix(2549,1560,-8580,-5251) (-30/49,-41/67) -> (-11/37,-30/101) Hyperbolic Matrix(259,158,936,571) (-11/18,-14/23) -> (8/29,5/18) Hyperbolic Matrix(1039,632,2392,1455) (-14/23,-31/51) -> (23/53,10/23) Hyperbolic Matrix(8059,4898,13260,8059) (-31/51,-79/130) -> (79/130,31/51) Hyperbolic Matrix(12481,7584,20540,12481) (-79/130,-48/79) -> (48/79,79/130) Hyperbolic Matrix(2911,1768,4108,2495) (-48/79,-17/28) -> (17/24,56/79) Hyperbolic Matrix(53,32,260,157) (-17/28,-3/5) -> (1/5,5/24) Hyperbolic Matrix(3017,1786,-7904,-4679) (-16/27,-29/49) -> (-21/55,-50/131) Hyperbolic Matrix(261,154,-1144,-675) (-13/22,-10/17) -> (-8/35,-5/22) Hyperbolic Matrix(259,152,-1508,-885) (-27/46,-17/29) -> (-5/29,-1/6) Hyperbolic Matrix(1507,882,-2756,-1613) (-24/41,-31/53) -> (-29/53,-6/11) Hyperbolic Matrix(1977,1156,-5512,-3223) (-31/53,-7/12) -> (-33/92,-19/53) Hyperbolic Matrix(1405,818,-4732,-2755) (-7/12,-32/55) -> (-30/101,-19/64) Hyperbolic Matrix(8527,4960,-20384,-11857) (-32/55,-57/98) -> (-41/98,-64/153) Hyperbolic Matrix(1871,1088,-8944,-5201) (-57/98,-25/43) -> (-9/43,-23/110) Hyperbolic Matrix(1249,726,1612,937) (-25/43,-18/31) -> (24/31,7/9) Hyperbolic Matrix(989,574,2600,1509) (-18/31,-29/50) -> (19/50,8/21) Hyperbolic Matrix(469,272,988,573) (-29/50,-40/69) -> (8/17,1/2) Hyperbolic Matrix(1353,784,1976,1145) (-40/69,-11/19) -> (13/19,24/35) Hyperbolic Matrix(571,330,988,571) (-11/19,-15/26) -> (15/26,11/19) Hyperbolic Matrix(209,120,364,209) (-15/26,-4/7) -> (4/7,15/26) Hyperbolic Matrix(261,148,-1924,-1091) (-21/37,-17/30) -> (-3/22,-5/37) Hyperbolic Matrix(625,354,2756,1561) (-17/30,-30/53) -> (12/53,5/22) Hyperbolic Matrix(937,530,2392,1353) (-30/53,-13/23) -> (9/23,20/51) Hyperbolic Matrix(365,206,-1196,-675) (-13/23,-9/16) -> (-11/36,-7/23) Hyperbolic Matrix(623,348,-2236,-1249) (-19/34,-5/9) -> (-17/61,-5/18) Hyperbolic Matrix(363,200,-1040,-573) (-16/29,-11/20) -> (-7/20,-8/23) Hyperbolic Matrix(313,172,-2080,-1143) (-11/20,-28/51) -> (-8/53,-3/20) Hyperbolic Matrix(729,400,3224,1769) (-28/51,-17/31) -> (7/31,12/53) Hyperbolic Matrix(1975,1082,-4368,-2393) (-17/31,-23/42) -> (-19/42,-33/73) Hyperbolic Matrix(365,198,1248,677) (-6/11,-13/24) -> (7/24,12/41) Hyperbolic Matrix(363,196,-676,-365) (-13/24,-7/13) -> (-7/13,-15/28) Parabolic Matrix(467,250,-2236,-1197) (-15/28,-8/15) -> (-14/67,-5/24) Hyperbolic Matrix(573,304,884,469) (-8/15,-9/17) -> (11/17,24/37) Hyperbolic Matrix(415,218,988,519) (-9/17,-1/2) -> (21/50,29/69) Hyperbolic Matrix(573,272,988,469) (-1/2,-8/17) -> (40/69,29/50) Hyperbolic Matrix(311,146,884,415) (-8/17,-7/15) -> (13/37,6/17) Hyperbolic Matrix(311,144,-676,-313) (-7/15,-6/13) -> (-6/13,-17/37) Parabolic Matrix(1093,502,-5772,-2651) (-17/37,-28/61) -> (-18/95,-7/37) Hyperbolic Matrix(469,214,572,261) (-11/24,-5/11) -> (9/11,23/28) Hyperbolic Matrix(53,24,-572,-259) (-5/11,-19/42) -> (-1/10,-1/11) Hyperbolic Matrix(5929,2680,10816,4889) (-33/73,-47/104) -> (57/104,17/31) Hyperbolic Matrix(5927,2678,10816,4887) (-47/104,-14/31) -> (40/73,57/104) Hyperbolic Matrix(2495,1126,3224,1455) (-14/31,-23/51) -> (41/53,24/31) Hyperbolic Matrix(103,46,-468,-209) (-9/20,-4/9) -> (-2/9,-7/32) Hyperbolic Matrix(363,160,-1300,-573) (-4/9,-11/25) -> (-7/25,-12/43) Hyperbolic Matrix(155,68,-832,-365) (-11/25,-7/16) -> (-3/16,-5/27) Hyperbolic Matrix(1455,632,2392,1039) (-10/23,-23/53) -> (31/51,14/23) Hyperbolic Matrix(2131,924,2756,1195) (-23/53,-13/30) -> (17/22,41/53) Hyperbolic Matrix(51,22,-364,-157) (-13/30,-3/7) -> (-1/7,-3/22) Hyperbolic Matrix(155,66,364,155) (-3/7,-11/26) -> (11/26,3/7) Hyperbolic Matrix(417,176,988,417) (-11/26,-8/19) -> (8/19,11/26) Hyperbolic Matrix(623,262,1976,831) (-8/19,-29/69) -> (11/35,6/19) Hyperbolic Matrix(519,218,988,415) (-29/69,-21/50) -> (1/2,9/17) Hyperbolic Matrix(1611,676,2600,1091) (-21/50,-13/31) -> (13/21,31/50) Hyperbolic Matrix(363,152,1612,675) (-13/31,-18/43) -> (2/9,7/31) Hyperbolic Matrix(2237,936,-11804,-4939) (-18/43,-41/98) -> (-11/58,-18/95) Hyperbolic Matrix(25169,10528,43264,18097) (-64/153,-87/208) -> (121/208,32/55) Hyperbolic Matrix(25167,10526,43264,18095) (-87/208,-23/55) -> (89/153,121/208) Hyperbolic Matrix(1091,456,-4108,-1717) (-23/55,-5/12) -> (-17/64,-13/49) Hyperbolic Matrix(415,172,-1508,-625) (-5/12,-12/29) -> (-8/29,-11/40) Hyperbolic Matrix(155,64,-884,-365) (-12/29,-7/17) -> (-3/17,-4/23) Hyperbolic Matrix(935,382,-2548,-1041) (-9/22,-11/27) -> (-29/79,-11/30) Hyperbolic Matrix(467,190,-1664,-677) (-11/27,-2/5) -> (-16/57,-7/25) Hyperbolic Matrix(207,82,260,103) (-2/5,-11/28) -> (19/24,4/5) Hyperbolic Matrix(5981,2348,9672,3797) (-11/28,-31/79) -> (81/131,47/76) Hyperbolic Matrix(8059,3162,20540,8059) (-31/79,-51/130) -> (51/130,31/79) Hyperbolic Matrix(5201,2040,13260,5201) (-51/130,-20/51) -> (20/51,51/130) Hyperbolic Matrix(1353,530,2392,937) (-20/51,-9/23) -> (13/23,30/53) Hyperbolic Matrix(677,264,936,365) (-9/23,-7/18) -> (13/18,21/29) Hyperbolic Matrix(259,100,-676,-261) (-7/18,-5/13) -> (-5/13,-13/34) Parabolic Matrix(937,358,-3536,-1351) (-13/34,-21/55) -> (-13/49,-9/34) Hyperbolic Matrix(5875,2242,9672,3691) (-50/131,-29/76) -> (17/28,48/79) Hyperbolic Matrix(1509,574,2600,989) (-8/21,-19/50) -> (29/50,18/31) Hyperbolic Matrix(26833,10192,43264,16433) (-49/129,-79/208) -> (129/208,49/79) Hyperbolic Matrix(26831,10190,43264,16431) (-79/208,-30/79) -> (80/129,129/208) Hyperbolic Matrix(1923,730,2600,987) (-30/79,-11/29) -> (17/23,20/27) Hyperbolic Matrix(417,158,1924,729) (-11/29,-14/37) -> (8/37,5/23) Hyperbolic Matrix(53,20,416,157) (-14/37,-3/8) -> (1/8,2/15) Hyperbolic Matrix(415,154,-1404,-521) (-3/8,-10/27) -> (-8/27,-13/44) Hyperbolic Matrix(573,212,2392,885) (-10/27,-27/73) -> (5/21,6/25) Hyperbolic Matrix(3381,1250,-16172,-5979) (-44/119,-17/46) -> (-23/110,-14/67) Hyperbolic Matrix(157,58,988,365) (-17/46,-7/19) -> (3/19,1/6) Hyperbolic Matrix(675,248,988,363) (-7/19,-18/49) -> (2/3,13/19) Hyperbolic Matrix(2391,878,-8216,-3017) (-18/49,-29/79) -> (-23/79,-16/55) Hyperbolic Matrix(1717,628,2704,989) (-15/41,-19/52) -> (33/52,7/11) Hyperbolic Matrix(1715,626,2704,987) (-19/52,-4/11) -> (26/41,33/52) Hyperbolic Matrix(105,38,-572,-207) (-4/11,-9/25) -> (-5/27,-2/11) Hyperbolic Matrix(2341,842,3328,1197) (-9/25,-23/64) -> (45/64,19/27) Hyperbolic Matrix(2183,784,-6084,-2185) (-23/64,-14/39) -> (-14/39,-33/92) Parabolic Matrix(313,112,1456,521) (-19/53,-5/14) -> (3/14,11/51) Hyperbolic Matrix(467,166,-1612,-573) (-5/14,-11/31) -> (-9/31,-11/38) Hyperbolic Matrix(209,74,884,313) (-11/31,-6/17) -> (4/17,5/21) Hyperbolic Matrix(415,146,884,311) (-6/17,-13/37) -> (7/15,8/17) Hyperbolic Matrix(833,292,-2964,-1039) (-13/37,-7/20) -> (-9/32,-25/89) Hyperbolic Matrix(1871,650,2392,831) (-8/23,-9/26) -> (61/78,18/23) Hyperbolic Matrix(1301,448,1664,573) (-9/26,-1/3) -> (43/55,61/78) Hyperbolic Matrix(625,198,988,313) (-1/3,-6/19) -> (12/19,31/49) Hyperbolic Matrix(831,262,1976,623) (-6/19,-11/35) -> (29/69,8/19) Hyperbolic Matrix(1663,522,6292,1975) (-11/35,-16/51) -> (14/53,23/87) Hyperbolic Matrix(4159,1304,5304,1663) (-16/51,-5/16) -> (69/88,40/51) Hyperbolic Matrix(207,64,-676,-209) (-5/16,-4/13) -> (-4/13,-11/36) Parabolic Matrix(883,268,1196,363) (-7/23,-10/33) -> (14/19,17/23) Hyperbolic Matrix(469,142,2236,677) (-10/33,-13/43) -> (9/43,4/19) Hyperbolic Matrix(53,16,520,157) (-13/43,-3/10) -> (1/10,1/9) Hyperbolic Matrix(7593,2264,10816,3225) (-17/57,-31/104) -> (73/104,33/47) Hyperbolic Matrix(7591,2262,10816,3223) (-31/104,-14/47) -> (40/57,73/104) Hyperbolic Matrix(1767,526,-6292,-1873) (-14/47,-11/37) -> (-25/89,-16/57) Hyperbolic Matrix(2131,632,3328,987) (-19/64,-8/27) -> (16/25,41/64) Hyperbolic Matrix(2027,598,2288,675) (-18/61,-23/78) -> (23/26,8/9) Hyperbolic Matrix(1561,460,1768,521) (-23/78,-5/17) -> (15/17,23/26) Hyperbolic Matrix(157,46,-884,-259) (-5/17,-7/24) -> (-5/28,-3/17) Hyperbolic Matrix(1613,470,4108,1197) (-7/24,-23/79) -> (31/79,11/28) Hyperbolic Matrix(1925,556,2704,781) (-13/45,-15/52) -> (37/52,5/7) Hyperbolic Matrix(1923,554,2704,779) (-15/52,-2/7) -> (32/45,37/52) Hyperbolic Matrix(311,88,364,103) (-2/7,-9/32) -> (17/20,6/7) Hyperbolic Matrix(7801,2176,10816,3017) (-12/43,-29/104) -> (75/104,44/61) Hyperbolic Matrix(7799,2174,10816,3015) (-29/104,-17/61) -> (31/43,75/104) Hyperbolic Matrix(571,158,936,259) (-5/18,-8/29) -> (14/23,11/18) Hyperbolic Matrix(51,14,-572,-157) (-14/51,-3/11) -> (-1/11,0/1) Hyperbolic Matrix(155,42,572,155) (-3/11,-7/26) -> (7/26,3/11) Hyperbolic Matrix(209,56,780,209) (-7/26,-4/15) -> (4/15,7/26) Hyperbolic Matrix(31825,8416,43264,11441) (-32/121,-55/208) -> (153/208,64/87) Hyperbolic Matrix(31823,8414,43264,11439) (-55/208,-23/87) -> (89/121,153/208) Hyperbolic Matrix(1975,522,6292,1663) (-23/87,-14/53) -> (16/51,11/35) Hyperbolic Matrix(417,110,-2756,-727) (-14/53,-5/19) -> (-5/33,-8/53) Hyperbolic Matrix(833,218,1196,313) (-5/19,-6/23) -> (16/23,23/33) Hyperbolic Matrix(1613,420,2600,677) (-6/23,-7/27) -> (49/79,18/29) Hyperbolic Matrix(157,40,208,53) (-7/27,-1/4) -> (3/4,19/25) Hyperbolic Matrix(155,38,208,51) (-1/4,-6/25) -> (20/27,3/4) Hyperbolic Matrix(885,212,2392,573) (-6/25,-5/21) -> (27/73,10/27) Hyperbolic Matrix(313,74,884,209) (-5/21,-4/17) -> (6/17,11/31) Hyperbolic Matrix(155,36,-676,-157) (-4/17,-3/13) -> (-3/13,-8/35) Parabolic Matrix(1561,354,2756,625) (-5/22,-12/53) -> (30/53,17/30) Hyperbolic Matrix(1769,400,3224,729) (-12/53,-7/31) -> (17/31,28/51) Hyperbolic Matrix(675,152,1612,363) (-7/31,-2/9) -> (18/43,13/31) Hyperbolic Matrix(1091,238,1664,363) (-12/55,-17/78) -> (17/26,2/3) Hyperbolic Matrix(1561,340,2392,521) (-17/78,-5/23) -> (15/23,17/26) Hyperbolic Matrix(729,158,1924,417) (-5/23,-8/37) -> (14/37,11/29) Hyperbolic Matrix(3641,786,5304,1145) (-19/88,-11/51) -> (35/51,11/16) Hyperbolic Matrix(521,112,1456,313) (-11/51,-3/14) -> (5/14,19/53) Hyperbolic Matrix(2133,452,2704,573) (-7/33,-11/52) -> (41/52,15/19) Hyperbolic Matrix(2131,450,2704,571) (-11/52,-4/19) -> (26/33,41/52) Hyperbolic Matrix(677,142,2236,469) (-4/19,-9/43) -> (13/43,10/33) Hyperbolic Matrix(157,32,260,53) (-5/24,-1/5) -> (3/5,17/28) Hyperbolic Matrix(51,10,260,51) (-1/5,-5/26) -> (5/26,1/5) Hyperbolic Matrix(209,40,1092,209) (-5/26,-4/21) -> (4/21,5/26) Hyperbolic Matrix(521,98,1664,313) (-10/53,-3/16) -> (5/16,16/51) Hyperbolic Matrix(311,56,572,103) (-2/11,-5/28) -> (13/24,6/11) Hyperbolic Matrix(2237,388,2704,469) (-4/23,-9/52) -> (43/52,24/29) Hyperbolic Matrix(2235,386,2704,467) (-9/52,-5/29) -> (19/23,43/52) Hyperbolic Matrix(365,58,988,157) (-1/6,-3/19) -> (7/19,17/46) Hyperbolic Matrix(103,16,-676,-105) (-3/19,-2/13) -> (-2/13,-5/33) Parabolic Matrix(261,38,364,53) (-3/20,-1/7) -> (5/7,23/32) Hyperbolic Matrix(2341,316,2704,365) (-5/37,-7/52) -> (45/52,13/15) Hyperbolic Matrix(2339,314,2704,363) (-7/52,-2/15) -> (32/37,45/52) Hyperbolic Matrix(157,20,416,53) (-2/15,-1/8) -> (3/8,14/37) Hyperbolic Matrix(1247,146,1768,207) (-2/17,-3/26) -> (55/78,12/17) Hyperbolic Matrix(1613,184,2288,261) (-3/26,-1/9) -> (43/61,55/78) Hyperbolic Matrix(157,16,520,53) (-1/9,-1/10) -> (3/10,13/43) Hyperbolic Matrix(259,-24,572,-53) (0/1,1/10) -> (19/42,24/53) Hyperbolic Matrix(623,-74,884,-105) (1/9,1/8) -> (31/44,43/61) Hyperbolic Matrix(157,-22,364,-51) (2/15,1/7) -> (3/7,16/37) Hyperbolic Matrix(105,-16,676,-103) (3/20,2/13) -> (2/13,5/32) Parabolic Matrix(1457,-228,2652,-415) (5/32,3/19) -> (39/71,11/20) Hyperbolic Matrix(365,-64,884,-155) (1/6,3/17) -> (7/17,19/46) Hyperbolic Matrix(259,-46,884,-157) (3/17,2/11) -> (12/41,5/17) Hyperbolic Matrix(365,-68,832,-155) (2/11,3/16) -> (7/16,18/41) Hyperbolic Matrix(3017,-570,3848,-727) (3/16,7/37) -> (29/37,69/88) Hyperbolic Matrix(3277,-622,5200,-987) (7/37,4/21) -> (46/73,75/119) Hyperbolic Matrix(1351,-282,2496,-521) (5/24,9/43) -> (33/61,13/24) Hyperbolic Matrix(573,-122,728,-155) (4/19,3/14) -> (11/14,26/33) Hyperbolic Matrix(3121,-674,3848,-831) (11/51,8/37) -> (30/37,43/53) Hyperbolic Matrix(209,-46,468,-103) (5/23,2/9) -> (4/9,13/29) Hyperbolic Matrix(675,-154,1144,-261) (5/22,3/13) -> (23/39,13/22) Hyperbolic Matrix(521,-122,884,-207) (3/13,4/17) -> (10/17,23/39) Hyperbolic Matrix(2599,-686,4732,-1249) (5/19,14/53) -> (28/51,39/71) Hyperbolic Matrix(5201,-1376,7072,-1871) (23/87,9/34) -> (25/34,89/121) Hyperbolic Matrix(989,-262,2548,-675) (9/34,4/15) -> (26/67,7/18) Hyperbolic Matrix(625,-172,1508,-415) (3/11,8/29) -> (12/29,17/41) Hyperbolic Matrix(573,-160,1300,-363) (5/18,7/25) -> (11/25,15/34) Hyperbolic Matrix(677,-190,1664,-467) (7/25,9/32) -> (13/32,11/27) Hyperbolic Matrix(573,-166,1612,-467) (2/7,9/31) -> (11/31,16/45) Hyperbolic Matrix(1769,-514,2860,-831) (9/31,7/24) -> (47/76,13/21) Hyperbolic Matrix(521,-154,1404,-415) (5/17,8/27) -> (10/27,13/35) Hyperbolic Matrix(2443,-726,3328,-989) (19/64,11/37) -> (11/15,47/64) Hyperbolic Matrix(779,-232,1924,-573) (11/37,14/47) -> (2/5,15/37) Hyperbolic Matrix(729,-218,1040,-311) (14/47,3/10) -> (7/10,40/57) Hyperbolic Matrix(675,-206,1196,-365) (7/23,4/13) -> (22/39,13/23) Hyperbolic Matrix(469,-146,832,-259) (4/13,5/16) -> (9/16,22/39) Hyperbolic Matrix(935,-326,1196,-417) (1/3,7/20) -> (25/32,43/55) Hyperbolic Matrix(781,-274,1924,-675) (7/20,13/37) -> (15/37,13/32) Hyperbolic Matrix(1663,-592,2340,-833) (16/45,5/14) -> (27/38,32/45) Hyperbolic Matrix(4941,-1772,6812,-2443) (19/53,14/39) -> (66/91,37/51) Hyperbolic Matrix(5355,-1924,7384,-2653) (14/39,23/64) -> (29/40,66/91) Hyperbolic Matrix(571,-206,1300,-469) (9/25,4/11) -> (18/41,11/25) Hyperbolic Matrix(989,-362,1560,-571) (4/11,11/30) -> (19/30,26/41) Hyperbolic Matrix(1041,-382,2548,-935) (11/30,18/49) -> (20/49,9/22) Hyperbolic Matrix(4213,-1558,5200,-1923) (17/46,27/73) -> (17/21,47/58) Hyperbolic Matrix(365,-136,416,-155) (13/35,3/8) -> (7/8,15/17) Hyperbolic Matrix(6449,-2450,10400,-3951) (30/79,19/50) -> (31/50,80/129) Hyperbolic Matrix(261,-100,676,-259) (8/21,5/13) -> (5/13,12/31) Parabolic Matrix(2287,-886,3224,-1249) (12/31,19/49) -> (39/55,22/31) Hyperbolic Matrix(6031,-2340,8580,-3329) (19/49,26/67) -> (26/37,71/101) Hyperbolic Matrix(4887,-1994,7904,-3225) (11/27,20/49) -> (34/55,81/131) Hyperbolic Matrix(883,-362,1144,-469) (9/22,7/17) -> (27/35,17/22) Hyperbolic Matrix(1249,-516,1508,-623) (19/46,12/29) -> (24/29,5/6) Hyperbolic Matrix(1249,-518,2756,-1143) (17/41,22/53) -> (24/53,5/11) Hyperbolic Matrix(3535,-1468,5512,-2289) (22/53,5/12) -> (59/92,34/53) Hyperbolic Matrix(3327,-1390,4732,-1977) (5/12,23/55) -> (71/101,45/64) Hyperbolic Matrix(11857,-4960,20384,-8527) (23/55,41/98) -> (57/98,89/153) Hyperbolic Matrix(7073,-2960,8944,-3743) (41/98,18/43) -> (34/43,87/110) Hyperbolic Matrix(1663,-720,1924,-833) (16/37,13/30) -> (19/22,32/37) Hyperbolic Matrix(831,-362,1196,-521) (10/23,7/16) -> (25/36,16/23) Hyperbolic Matrix(1613,-712,2236,-987) (15/34,4/9) -> (44/61,13/18) Hyperbolic Matrix(677,-304,1040,-467) (13/29,9/20) -> (13/20,15/23) Hyperbolic Matrix(1767,-796,2080,-937) (9/20,23/51) -> (45/53,17/20) Hyperbolic Matrix(2393,-1082,4368,-1975) (14/31,19/42) -> (23/42,40/73) Hyperbolic Matrix(313,-144,676,-311) (11/24,6/13) -> (6/13,13/28) Parabolic Matrix(1769,-822,2236,-1039) (13/28,7/15) -> (53/67,19/24) Hyperbolic Matrix(365,-196,676,-363) (8/15,7/13) -> (7/13,20/37) Parabolic Matrix(4679,-2530,5772,-3121) (20/37,33/61) -> (77/95,30/37) Hyperbolic Matrix(519,-284,572,-313) (6/11,23/42) -> (9/10,10/11) Hyperbolic Matrix(365,-202,468,-259) (11/20,5/9) -> (7/9,25/32) Hyperbolic Matrix(937,-524,1300,-727) (5/9,14/25) -> (18/25,31/43) Hyperbolic Matrix(677,-380,832,-467) (14/25,9/16) -> (13/16,22/27) Hyperbolic Matrix(313,-178,364,-207) (17/30,4/7) -> (6/7,19/22) Hyperbolic Matrix(9567,-5564,11804,-6865) (25/43,57/98) -> (47/58,77/95) Hyperbolic Matrix(3017,-1756,4108,-2391) (32/55,7/12) -> (47/64,36/49) Hyperbolic Matrix(1093,-640,1508,-883) (7/12,17/29) -> (21/29,29/40) Hyperbolic Matrix(729,-428,884,-519) (17/29,10/17) -> (14/17,19/23) Hyperbolic Matrix(1613,-954,2548,-1507) (13/22,16/27) -> (50/79,19/30) Hyperbolic Matrix(1197,-710,1664,-987) (16/27,3/5) -> (41/57,18/25) Hyperbolic Matrix(417,-256,676,-415) (11/18,8/13) -> (8/13,21/34) Parabolic Matrix(2599,-1606,3536,-2185) (21/34,34/55) -> (36/49,25/34) Hyperbolic Matrix(989,-622,1404,-883) (5/8,17/27) -> (19/27,31/44) Hyperbolic Matrix(12791,-8062,16172,-10193) (75/119,29/46) -> (87/110,53/67) Hyperbolic Matrix(5825,-3686,8216,-5199) (31/49,50/79) -> (56/79,39/55) Hyperbolic Matrix(467,-298,572,-365) (7/11,16/25) -> (22/27,9/11) Hyperbolic Matrix(3901,-2500,6084,-3899) (41/64,25/39) -> (25/39,59/92) Parabolic Matrix(1145,-738,1612,-1039) (9/14,20/31) -> (22/31,27/38) Hyperbolic Matrix(2131,-1384,2964,-1925) (24/37,13/20) -> (23/32,64/89) Hyperbolic Matrix(469,-324,676,-467) (11/16,9/13) -> (9/13,25/36) Parabolic Matrix(4525,-3178,6292,-4419) (33/47,26/37) -> (64/89,41/57) Hyperbolic Matrix(727,-514,884,-625) (12/17,17/24) -> (23/28,14/17) Hyperbolic Matrix(521,-378,572,-415) (37/51,8/11) -> (10/11,1/1) Hyperbolic Matrix(2339,-1722,2756,-2029) (39/53,14/19) -> (28/33,45/53) Hyperbolic Matrix(521,-400,676,-519) (13/17,10/13) -> (10/13,27/35) Parabolic Matrix(573,-484,676,-571) (16/19,11/13) -> (11/13,28/33) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(3,2,-2,-1) Matrix(313,284,-572,-519) -> Matrix(1,0,0,1) Matrix(363,326,520,467) -> Matrix(3,-4,-2,3) Matrix(261,230,-884,-779) -> Matrix(11,10,-10,-9) Matrix(259,226,416,363) -> Matrix(7,6,-6,-5) Matrix(207,178,-364,-313) -> Matrix(3,2,-2,-1) Matrix(103,88,364,311) -> Matrix(5,4,-4,-3) Matrix(571,484,-676,-573) -> Matrix(7,4,-16,-9) Matrix(1195,1008,-2652,-2237) -> Matrix(5,2,-8,-3) Matrix(623,524,988,831) -> Matrix(7,2,-4,-1) Matrix(519,428,-884,-729) -> Matrix(3,2,-8,-5) Matrix(625,514,-884,-727) -> Matrix(1,2,-2,-3) Matrix(467,380,-832,-677) -> Matrix(1,2,-4,-7) Matrix(831,674,-3848,-3121) -> Matrix(1,2,-2,-3) Matrix(1923,1558,-5200,-4213) -> Matrix(13,16,-22,-27) Matrix(883,714,1092,883) -> Matrix(13,14,-14,-15) Matrix(209,168,260,209) -> Matrix(9,8,-8,-7) Matrix(103,82,260,207) -> Matrix(7,4,-2,-1) Matrix(1145,906,-2496,-1975) -> Matrix(3,2,-2,-1) Matrix(1559,1232,2236,1767) -> Matrix(17,10,-12,-7) Matrix(155,122,-728,-573) -> Matrix(7,6,-6,-5) Matrix(935,734,1456,1143) -> Matrix(31,24,-22,-17) Matrix(727,570,-3848,-3017) -> Matrix(11,8,26,19) Matrix(1195,936,1924,1507) -> Matrix(31,22,-24,-17) Matrix(259,202,-468,-365) -> Matrix(3,2,-2,-1) Matrix(937,726,1612,1249) -> Matrix(17,12,-10,-7) Matrix(1455,1126,3224,2495) -> Matrix(7,4,-2,-1) Matrix(1195,924,2756,2131) -> Matrix(17,10,-12,-7) Matrix(469,362,-1144,-883) -> Matrix(7,4,-2,-1) Matrix(363,278,-884,-677) -> Matrix(5,2,2,1) Matrix(571,436,884,675) -> Matrix(7,2,-4,-1) Matrix(1507,1146,2392,1819) -> Matrix(11,2,-6,-1) Matrix(53,40,208,157) -> Matrix(1,-2,0,1) Matrix(51,38,208,155) -> Matrix(7,4,-2,-1) Matrix(987,730,2600,1923) -> Matrix(1,0,-2,1) Matrix(363,268,1196,883) -> Matrix(1,2,0,1) Matrix(2133,1570,-4732,-3483) -> Matrix(1,2,-2,-3) Matrix(4317,3176,6292,4629) -> Matrix(7,2,-4,-1) Matrix(1871,1376,-7072,-5201) -> Matrix(1,0,4,1) Matrix(1559,1146,-2548,-1873) -> Matrix(1,-2,-2,5) Matrix(571,418,780,571) -> Matrix(1,2,-2,-3) Matrix(417,304,572,417) -> Matrix(9,8,-8,-7) Matrix(883,640,-1508,-1093) -> Matrix(3,2,-8,-5) Matrix(365,264,936,677) -> Matrix(13,10,-4,-3) Matrix(727,524,-1300,-937) -> Matrix(3,2,-20,-13) Matrix(987,710,-1664,-1197) -> Matrix(7,4,-2,-1) Matrix(53,38,364,261) -> Matrix(1,0,2,1) Matrix(1039,738,-1612,-1145) -> Matrix(3,2,-2,-1) Matrix(1091,774,-2860,-2029) -> Matrix(7,4,-2,-1) Matrix(571,404,1248,883) -> Matrix(5,4,-4,-3) Matrix(883,622,-1404,-989) -> Matrix(3,2,-2,-1) Matrix(1197,842,3328,2341) -> Matrix(7,4,-2,-1) Matrix(885,622,-3328,-2339) -> Matrix(3,2,10,7) Matrix(1145,804,-1924,-1351) -> Matrix(3,2,4,3) Matrix(311,218,-1040,-729) -> Matrix(7,4,-2,-1) Matrix(467,326,520,363) -> Matrix(7,4,-2,-1) Matrix(1767,1232,2236,1559) -> Matrix(17,10,-12,-7) Matrix(313,218,1196,833) -> Matrix(11,6,-2,-1) Matrix(521,362,-1196,-831) -> Matrix(11,6,-2,-1) Matrix(363,250,-832,-573) -> Matrix(5,2,2,1) Matrix(1351,928,1664,1143) -> Matrix(5,2,-8,-3) Matrix(4629,3176,6292,4317) -> Matrix(7,2,-4,-1) Matrix(1145,784,1976,1353) -> Matrix(15,2,-8,-1) Matrix(363,248,988,675) -> Matrix(7,2,-4,-1) Matrix(261,170,-1196,-779) -> Matrix(3,2,-2,-1) Matrix(1143,742,-1924,-1249) -> Matrix(1,0,2,1) Matrix(469,304,884,573) -> Matrix(7,2,-4,-1) Matrix(675,436,884,571) -> Matrix(7,2,-4,-1) Matrix(677,436,-2340,-1507) -> Matrix(5,4,-4,-3) Matrix(1143,734,1456,935) -> Matrix(27,16,-22,-13) Matrix(1871,1200,-6812,-4369) -> Matrix(19,10,-40,-21) Matrix(2029,1300,-7384,-4731) -> Matrix(25,12,-48,-23) Matrix(987,632,3328,2131) -> Matrix(13,6,-24,-11) Matrix(729,466,-1300,-831) -> Matrix(5,2,-18,-7) Matrix(571,362,-1560,-989) -> Matrix(1,0,-2,1) Matrix(1507,954,-2548,-1613) -> Matrix(1,2,-2,-3) Matrix(313,198,988,625) -> Matrix(7,4,-2,-1) Matrix(831,524,988,623) -> Matrix(7,2,-4,-1) Matrix(987,622,-5200,-3277) -> Matrix(1,0,6,1) Matrix(1819,1146,2392,1507) -> Matrix(11,2,-6,-1) Matrix(51,32,-416,-261) -> Matrix(1,0,0,1) Matrix(363,226,416,259) -> Matrix(7,6,-6,-5) Matrix(1507,936,1924,1195) -> Matrix(31,22,-24,-17) Matrix(677,420,2600,1613) -> Matrix(5,4,-4,-3) Matrix(3951,2450,-10400,-6449) -> Matrix(31,20,-14,-9) Matrix(1091,676,2600,1611) -> Matrix(43,28,-20,-13) Matrix(415,256,-676,-417) -> Matrix(11,6,-24,-13) Matrix(937,574,-3224,-1975) -> Matrix(5,2,2,1) Matrix(2549,1560,-8580,-5251) -> Matrix(31,14,-20,-9) Matrix(259,158,936,571) -> Matrix(1,0,2,1) Matrix(1039,632,2392,1455) -> Matrix(5,2,-8,-3) Matrix(8059,4898,13260,8059) -> Matrix(289,98,-174,-59) Matrix(12481,7584,20540,12481) -> Matrix(401,132,-240,-79) Matrix(2911,1768,4108,2495) -> Matrix(19,6,-16,-5) Matrix(53,32,260,157) -> Matrix(7,2,-4,-1) Matrix(3017,1786,-7904,-4679) -> Matrix(19,16,-6,-5) Matrix(261,154,-1144,-675) -> Matrix(15,8,-2,-1) Matrix(259,152,-1508,-885) -> Matrix(11,4,8,3) Matrix(1507,882,-2756,-1613) -> Matrix(1,0,2,1) Matrix(1977,1156,-5512,-3223) -> Matrix(7,2,-4,-1) Matrix(1405,818,-4732,-2755) -> Matrix(35,8,-22,-5) Matrix(8527,4960,-20384,-11857) -> Matrix(1,0,8,1) Matrix(1871,1088,-8944,-5201) -> Matrix(1,0,4,1) Matrix(1249,726,1612,937) -> Matrix(13,4,-10,-3) Matrix(989,574,2600,1509) -> Matrix(1,0,6,1) Matrix(469,272,988,573) -> Matrix(7,2,-4,-1) Matrix(1353,784,1976,1145) -> Matrix(15,2,-8,-1) Matrix(571,330,988,571) -> Matrix(27,2,-14,-1) Matrix(209,120,364,209) -> Matrix(1,-2,0,1) Matrix(261,148,-1924,-1091) -> Matrix(5,4,-4,-3) Matrix(625,354,2756,1561) -> Matrix(5,2,2,1) Matrix(937,530,2392,1353) -> Matrix(7,4,-2,-1) Matrix(365,206,-1196,-675) -> Matrix(11,6,-2,-1) Matrix(623,348,-2236,-1249) -> Matrix(1,0,8,1) Matrix(363,200,-1040,-573) -> Matrix(1,0,-4,1) Matrix(313,172,-2080,-1143) -> Matrix(1,-8,0,1) Matrix(729,400,3224,1769) -> Matrix(1,4,0,1) Matrix(1975,1082,-4368,-2393) -> Matrix(3,2,-2,-1) Matrix(365,198,1248,677) -> Matrix(3,2,-2,-1) Matrix(363,196,-676,-365) -> Matrix(3,2,-8,-5) Matrix(467,250,-2236,-1197) -> Matrix(1,0,2,1) Matrix(573,304,884,469) -> Matrix(7,2,-4,-1) Matrix(415,218,988,519) -> Matrix(5,-2,-2,1) Matrix(573,272,988,469) -> Matrix(7,2,-4,-1) Matrix(311,146,884,415) -> Matrix(3,2,-2,-1) Matrix(311,144,-676,-313) -> Matrix(1,-2,0,1) Matrix(1093,502,-5772,-2651) -> Matrix(1,2,2,5) Matrix(469,214,572,261) -> Matrix(3,2,-2,-1) Matrix(53,24,-572,-259) -> Matrix(1,2,0,1) Matrix(5929,2680,10816,4889) -> Matrix(3,4,-4,-5) Matrix(5927,2678,10816,4887) -> Matrix(7,6,-6,-5) Matrix(2495,1126,3224,1455) -> Matrix(3,-4,-2,3) Matrix(103,46,-468,-209) -> Matrix(3,2,-2,-1) Matrix(363,160,-1300,-573) -> Matrix(1,0,-4,1) Matrix(155,68,-832,-365) -> Matrix(1,0,0,1) Matrix(1455,632,2392,1039) -> Matrix(13,18,-8,-11) Matrix(2131,924,2756,1195) -> Matrix(17,10,-12,-7) Matrix(51,22,-364,-157) -> Matrix(3,2,-2,-1) Matrix(155,66,364,155) -> Matrix(11,2,-6,-1) Matrix(417,176,988,417) -> Matrix(33,-2,-16,1) Matrix(623,262,1976,831) -> Matrix(25,-4,-6,1) Matrix(519,218,988,415) -> Matrix(5,-2,-2,1) Matrix(1611,676,2600,1091) -> Matrix(27,-4,-20,3) Matrix(363,152,1612,675) -> Matrix(7,-2,4,-1) Matrix(2237,936,-11804,-4939) -> Matrix(1,0,0,1) Matrix(25169,10528,43264,18097) -> Matrix(57,-16,-32,9) Matrix(25167,10526,43264,18095) -> Matrix(3,2,-2,-1) Matrix(1091,456,-4108,-1717) -> Matrix(1,0,0,1) Matrix(415,172,-1508,-625) -> Matrix(3,-2,-4,3) Matrix(155,64,-884,-365) -> Matrix(1,0,0,1) Matrix(935,382,-2548,-1041) -> Matrix(1,0,-2,1) Matrix(467,190,-1664,-677) -> Matrix(1,0,-2,1) Matrix(207,82,260,103) -> Matrix(3,-4,-2,3) Matrix(5981,2348,9672,3797) -> Matrix(17,-24,-12,17) Matrix(8059,3162,20540,8059) -> Matrix(7,-10,-2,3) Matrix(5201,2040,13260,5201) -> Matrix(1,-6,0,1) Matrix(1353,530,2392,937) -> Matrix(3,-4,-2,3) Matrix(677,264,936,365) -> Matrix(5,-6,-4,5) Matrix(259,100,-676,-261) -> Matrix(1,-6,0,1) Matrix(937,358,-3536,-1351) -> Matrix(1,4,2,9) Matrix(5875,2242,9672,3691) -> Matrix(17,46,-10,-27) Matrix(1509,574,2600,989) -> Matrix(11,24,-6,-13) Matrix(26833,10192,43264,16433) -> Matrix(85,174,-64,-131) Matrix(26831,10190,43264,16431) -> Matrix(99,194,-74,-145) Matrix(1923,730,2600,987) -> Matrix(5,8,-2,-3) Matrix(417,158,1924,729) -> Matrix(1,2,-2,-3) Matrix(53,20,416,157) -> Matrix(1,0,0,1) Matrix(415,154,-1404,-521) -> Matrix(7,6,-6,-5) Matrix(573,212,2392,885) -> Matrix(35,22,-8,-5) Matrix(3381,1250,-16172,-5979) -> Matrix(7,4,-2,-1) Matrix(157,58,988,365) -> Matrix(15,8,-2,-1) Matrix(675,248,988,363) -> Matrix(7,2,-4,-1) Matrix(2391,878,-8216,-3017) -> Matrix(1,0,2,1) Matrix(1717,628,2704,989) -> Matrix(15,2,-8,-1) Matrix(1715,626,2704,987) -> Matrix(5,-2,-2,1) Matrix(105,38,-572,-207) -> Matrix(1,0,2,1) Matrix(2341,842,3328,1197) -> Matrix(3,-4,-2,3) Matrix(2183,784,-6084,-2185) -> Matrix(1,-2,0,1) Matrix(313,112,1456,521) -> Matrix(1,0,0,1) Matrix(467,166,-1612,-573) -> Matrix(3,2,-2,-1) Matrix(209,74,884,313) -> Matrix(11,6,-2,-1) Matrix(415,146,884,311) -> Matrix(3,2,-2,-1) Matrix(833,292,-2964,-1039) -> Matrix(1,0,0,1) Matrix(1871,650,2392,831) -> Matrix(45,4,-34,-3) Matrix(1301,448,1664,573) -> Matrix(27,-4,-20,3) Matrix(625,198,988,313) -> Matrix(3,-4,-2,3) Matrix(831,262,1976,623) -> Matrix(13,-28,-6,13) Matrix(1663,522,6292,1975) -> Matrix(5,-22,-2,9) Matrix(4159,1304,5304,1663) -> Matrix(5,4,-4,-3) Matrix(207,64,-676,-209) -> Matrix(1,-10,0,1) Matrix(883,268,1196,363) -> Matrix(1,2,0,1) Matrix(469,142,2236,677) -> Matrix(3,8,-2,-5) Matrix(53,16,520,157) -> Matrix(1,0,0,1) Matrix(7593,2264,10816,3225) -> Matrix(37,78,-28,-59) Matrix(7591,2262,10816,3223) -> Matrix(51,98,-38,-73) Matrix(1767,526,-6292,-1873) -> Matrix(1,2,-6,-11) Matrix(2131,632,3328,987) -> Matrix(37,54,-24,-35) Matrix(2027,598,2288,675) -> Matrix(17,18,-18,-19) Matrix(1561,460,1768,521) -> Matrix(17,16,-16,-15) Matrix(157,46,-884,-259) -> Matrix(1,0,2,1) Matrix(1613,470,4108,1197) -> Matrix(7,4,-2,-1) Matrix(1925,556,2704,781) -> Matrix(3,4,-4,-5) Matrix(1923,554,2704,779) -> Matrix(11,10,-10,-9) Matrix(311,88,364,103) -> Matrix(5,4,-4,-3) Matrix(7801,2176,10816,3017) -> Matrix(69,4,-52,-3) Matrix(7799,2174,10816,3015) -> Matrix(67,-4,-50,3) Matrix(571,158,936,259) -> Matrix(3,8,-2,-5) Matrix(51,14,-572,-157) -> Matrix(5,2,2,1) Matrix(155,42,572,155) -> Matrix(11,2,-6,-1) Matrix(209,56,780,209) -> Matrix(17,-2,-8,1) Matrix(31825,8416,43264,11441) -> Matrix(1,0,-4,1) Matrix(31823,8414,43264,11439) -> Matrix(17,-6,-14,5) Matrix(1975,522,6292,1663) -> Matrix(13,-6,-2,1) Matrix(417,110,-2756,-727) -> Matrix(21,-10,-2,1) Matrix(833,218,1196,313) -> Matrix(3,-10,-2,7) Matrix(1613,420,2600,677) -> Matrix(5,4,-4,-3) Matrix(157,40,208,53) -> Matrix(1,-2,0,1) Matrix(155,38,208,51) -> Matrix(3,-4,-2,3) Matrix(885,212,2392,573) -> Matrix(11,-26,-8,19) Matrix(313,74,884,209) -> Matrix(3,-10,-2,7) Matrix(155,36,-676,-157) -> Matrix(1,-14,0,1) Matrix(1561,354,2756,625) -> Matrix(3,14,-2,-9) Matrix(1769,400,3224,729) -> Matrix(1,4,0,1) Matrix(675,152,1612,363) -> Matrix(9,34,-4,-15) Matrix(1091,238,1664,363) -> Matrix(3,8,-2,-5) Matrix(1561,340,2392,521) -> Matrix(1,0,0,1) Matrix(729,158,1924,417) -> Matrix(1,2,-2,-3) Matrix(3641,786,5304,1145) -> Matrix(3,8,-2,-5) Matrix(521,112,1456,313) -> Matrix(1,0,0,1) Matrix(2133,452,2704,573) -> Matrix(7,8,-8,-9) Matrix(2131,450,2704,571) -> Matrix(15,14,-14,-13) Matrix(677,142,2236,469) -> Matrix(1,0,2,1) Matrix(157,32,260,53) -> Matrix(7,2,-4,-1) Matrix(51,10,260,51) -> Matrix(3,2,-2,-1) Matrix(209,40,1092,209) -> Matrix(17,-2,-8,1) Matrix(521,98,1664,313) -> Matrix(9,-4,-2,1) Matrix(311,56,572,103) -> Matrix(1,-2,0,1) Matrix(2237,388,2704,469) -> Matrix(7,-6,-8,7) Matrix(2235,386,2704,467) -> Matrix(11,-12,-10,11) Matrix(365,58,988,157) -> Matrix(3,-16,-2,11) Matrix(103,16,-676,-105) -> Matrix(1,-18,0,1) Matrix(261,38,364,53) -> Matrix(3,8,-2,-5) Matrix(2341,316,2704,365) -> Matrix(3,4,-4,-5) Matrix(2339,314,2704,363) -> Matrix(11,10,-10,-9) Matrix(157,20,416,53) -> Matrix(1,0,0,1) Matrix(1247,146,1768,207) -> Matrix(13,4,-10,-3) Matrix(1613,184,2288,261) -> Matrix(11,-4,-8,3) Matrix(157,16,520,53) -> Matrix(1,0,0,1) Matrix(259,-24,572,-53) -> Matrix(1,2,0,1) Matrix(623,-74,884,-105) -> Matrix(3,2,-2,-1) Matrix(157,-22,364,-51) -> Matrix(3,2,-2,-1) Matrix(105,-16,676,-103) -> Matrix(1,-18,0,1) Matrix(1457,-228,2652,-415) -> Matrix(1,10,0,1) Matrix(365,-64,884,-155) -> Matrix(1,0,0,1) Matrix(259,-46,884,-157) -> Matrix(3,8,-2,-5) Matrix(365,-68,832,-155) -> Matrix(1,0,0,1) Matrix(3017,-570,3848,-727) -> Matrix(33,80,-26,-63) Matrix(3277,-622,5200,-987) -> Matrix(11,24,-6,-13) Matrix(1351,-282,2496,-521) -> Matrix(3,2,-2,-1) Matrix(573,-122,728,-155) -> Matrix(7,6,-6,-5) Matrix(3121,-674,3848,-831) -> Matrix(1,2,-2,-3) Matrix(209,-46,468,-103) -> Matrix(3,2,-2,-1) Matrix(675,-154,1144,-261) -> Matrix(3,-16,-2,11) Matrix(521,-122,884,-207) -> Matrix(3,26,-2,-17) Matrix(2599,-686,4732,-1249) -> Matrix(1,2,2,5) Matrix(5201,-1376,7072,-1871) -> Matrix(7,16,-4,-9) Matrix(989,-262,2548,-675) -> Matrix(7,18,-2,-5) Matrix(625,-172,1508,-415) -> Matrix(11,14,-4,-5) Matrix(573,-160,1300,-363) -> Matrix(9,16,-4,-7) Matrix(677,-190,1664,-467) -> Matrix(5,8,-2,-3) Matrix(573,-166,1612,-467) -> Matrix(3,2,-2,-1) Matrix(1769,-514,2860,-831) -> Matrix(3,-4,-2,3) Matrix(521,-154,1404,-415) -> Matrix(7,6,-6,-5) Matrix(2443,-726,3328,-989) -> Matrix(1,0,2,1) Matrix(779,-232,1924,-573) -> Matrix(7,2,-4,-1) Matrix(729,-218,1040,-311) -> Matrix(3,-4,-2,3) Matrix(675,-206,1196,-365) -> Matrix(3,-10,-2,7) Matrix(469,-146,832,-259) -> Matrix(3,20,-2,-13) Matrix(935,-326,1196,-417) -> Matrix(19,34,-14,-25) Matrix(781,-274,1924,-675) -> Matrix(5,8,-2,-3) Matrix(1663,-592,2340,-833) -> Matrix(5,4,-4,-3) Matrix(4941,-1772,6812,-2443) -> Matrix(5,4,-4,-3) Matrix(5355,-1924,7384,-2653) -> Matrix(5,14,-4,-11) Matrix(571,-206,1300,-469) -> Matrix(5,8,-2,-3) Matrix(989,-362,1560,-571) -> Matrix(5,8,-2,-3) Matrix(1041,-382,2548,-935) -> Matrix(5,8,-2,-3) Matrix(4213,-1558,5200,-1923) -> Matrix(17,24,-22,-31) Matrix(365,-136,416,-155) -> Matrix(5,4,-4,-3) Matrix(6449,-2450,10400,-3951) -> Matrix(19,-4,-14,3) Matrix(261,-100,676,-259) -> Matrix(1,-6,0,1) Matrix(2287,-886,3224,-1249) -> Matrix(3,14,-2,-9) Matrix(6031,-2340,8580,-3329) -> Matrix(5,24,-4,-19) Matrix(4887,-1994,7904,-3225) -> Matrix(3,-4,-2,3) Matrix(883,-362,1144,-469) -> Matrix(3,-4,-2,3) Matrix(1249,-516,1508,-623) -> Matrix(1,2,0,1) Matrix(1249,-518,2756,-1143) -> Matrix(7,18,-2,-5) Matrix(3535,-1468,5512,-2289) -> Matrix(65,164,-44,-111) Matrix(3327,-1390,4732,-1977) -> Matrix(13,30,-10,-23) Matrix(11857,-4960,20384,-8527) -> Matrix(15,32,-8,-17) Matrix(7073,-2960,8944,-3743) -> Matrix(7,16,-4,-9) Matrix(1663,-720,1924,-833) -> Matrix(5,4,-4,-3) Matrix(831,-362,1196,-521) -> Matrix(3,-10,-2,7) Matrix(1613,-712,2236,-987) -> Matrix(21,46,-16,-35) Matrix(677,-304,1040,-467) -> Matrix(1,0,0,1) Matrix(1767,-796,2080,-937) -> Matrix(11,18,-8,-13) Matrix(2393,-1082,4368,-1975) -> Matrix(3,2,-2,-1) Matrix(313,-144,676,-311) -> Matrix(1,-2,0,1) Matrix(1769,-822,2236,-1039) -> Matrix(3,8,-2,-5) Matrix(365,-196,676,-363) -> Matrix(11,18,-8,-13) Matrix(4679,-2530,5772,-3121) -> Matrix(5,6,-6,-7) Matrix(519,-284,572,-313) -> Matrix(1,0,0,1) Matrix(365,-202,468,-259) -> Matrix(3,2,-2,-1) Matrix(937,-524,1300,-727) -> Matrix(27,50,-20,-37) Matrix(677,-380,832,-467) -> Matrix(1,2,-4,-7) Matrix(313,-178,364,-207) -> Matrix(3,2,-2,-1) Matrix(9567,-5564,11804,-6865) -> Matrix(11,20,-16,-29) Matrix(3017,-1756,4108,-2391) -> Matrix(9,16,-4,-7) Matrix(1093,-640,1508,-883) -> Matrix(11,18,-8,-13) Matrix(729,-428,884,-519) -> Matrix(11,18,-8,-13) Matrix(1613,-954,2548,-1507) -> Matrix(1,2,-2,-3) Matrix(1197,-710,1664,-987) -> Matrix(3,-4,-2,3) Matrix(417,-256,676,-415) -> Matrix(35,54,-24,-37) Matrix(2599,-1606,3536,-2185) -> Matrix(3,4,2,3) Matrix(989,-622,1404,-883) -> Matrix(3,2,-2,-1) Matrix(12791,-8062,16172,-10193) -> Matrix(5,8,-2,-3) Matrix(5825,-3686,8216,-5199) -> Matrix(1,2,-2,-3) Matrix(467,-298,572,-365) -> Matrix(5,8,-2,-3) Matrix(3901,-2500,6084,-3899) -> Matrix(131,198,-88,-133) Matrix(1145,-738,1612,-1039) -> Matrix(3,2,-2,-1) Matrix(2131,-1384,2964,-1925) -> Matrix(23,36,-16,-25) Matrix(469,-324,676,-467) -> Matrix(47,72,-32,-49) Matrix(4525,-3178,6292,-4419) -> Matrix(49,62,-34,-43) Matrix(727,-514,884,-625) -> Matrix(1,2,-2,-3) Matrix(521,-378,572,-415) -> Matrix(1,2,-2,-3) Matrix(2339,-1722,2756,-2029) -> Matrix(3,-4,-2,3) Matrix(521,-400,676,-519) -> Matrix(35,54,-24,-37) Matrix(573,-484,676,-571) -> Matrix(23,36,-16,-25) 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): 112 Degree of the the map X: 112 Degree of the the map Y: 336 ----------------------------------------------------------------------- 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): 1008 Minimal number of generators: 169 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: 60 Genus: 55 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/13 -8/13 -1/2 -6/13 -5/12 -79/208 -14/39 -4/13 -1/4 -4/19 -4/23 -9/52 -1/6 -2/13 -2/15 -1/8 -2/17 -3/26 -1/10 -1/11 0/1 1/10 1/9 1/8 1/7 2/13 1/6 2/11 4/21 5/26 1/5 2/9 3/13 1/4 7/26 2/7 4/13 1/3 14/39 5/13 2/5 5/12 11/26 6/13 1/2 7/13 14/25 15/26 8/13 25/39 17/26 2/3 9/13 19/26 10/13 21/26 11/13 23/26 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 -1/1 0/1 -6/7 -1/2 -11/13 -1/2 -16/19 -1/4 -5/6 0/1 -14/17 -1/2 -9/11 -1/1 0/1 -13/16 -1/1 -17/21 -8/7 -1/1 -21/26 -1/1 -4/5 -3/4 -7/9 -2/3 -3/5 -10/13 -1/2 -13/17 -1/3 0/1 -16/21 -1/4 -19/25 -1/7 0/1 -3/4 -1/1 -11/15 -2/1 -1/1 -19/26 -1/1 -8/11 -3/4 -5/7 -1/1 0/1 -17/24 -1/1 -29/41 -1/1 -2/3 -12/17 -3/4 -19/27 -2/3 -3/5 -26/37 -1/2 -33/47 -9/13 -2/3 -7/10 -2/3 -16/23 -9/16 -9/13 -1/2 -2/3 -1/2 -13/20 -1/1 -24/37 1/0 -11/17 -1/1 0/1 -9/14 -2/3 -34/53 -1/2 -25/39 -1/2 -16/25 -7/16 -7/11 -1/3 0/1 -19/30 0/1 -31/49 -1/1 -2/3 -12/19 1/0 -29/46 0/1 -17/27 0/1 1/1 -22/35 -1/2 -5/8 -1/1 -8/13 -1/2 -11/18 -2/5 -14/23 -1/2 -31/51 -10/29 -1/3 -17/28 -1/3 -3/5 -1/3 0/1 -16/27 -5/4 -29/49 -1/1 -4/5 -13/22 -2/3 -10/17 -1/2 -7/12 -1/3 -25/43 -1/5 0/1 -18/31 -1/6 -29/50 0/1 -11/19 -1/7 0/1 -15/26 0/1 -4/7 1/0 -5/9 0/1 1/1 -6/11 -1/2 -7/13 -1/2 -8/15 -1/4 -9/17 -1/3 0/1 -1/2 0/1 -6/13 1/0 -11/24 -1/1 -5/11 -1/1 0/1 -14/31 -1/2 -23/51 -1/1 -4/5 -9/20 -1/1 -4/9 -1/4 -11/25 0/1 1/1 -7/16 1/1 -10/23 -3/2 -3/7 -1/3 0/1 -11/26 0/1 -8/19 1/8 -5/12 1/3 -12/29 3/4 -7/17 1/1 2/1 -2/5 1/2 -5/13 1/0 -8/21 1/0 -19/50 -2/1 -49/129 -27/13 -2/1 -79/208 -2/1 -30/79 -19/10 -11/29 -2/1 -1/1 -14/37 -3/2 -3/8 -1/1 -10/27 -7/10 -27/73 -8/13 -3/5 -44/119 -7/12 -17/46 -4/7 -7/19 -1/3 0/1 -4/11 1/0 -9/25 -1/1 0/1 -14/39 1/0 -19/53 -2/1 -1/1 -5/14 0/1 -6/17 -1/2 -7/20 -1/3 -1/3 0/1 1/1 -4/13 1/0 -7/23 -5/1 -4/1 -10/33 -7/2 -13/43 -3/1 -2/1 -3/10 -2/1 -11/37 -2/1 -5/3 -8/27 -11/8 -13/44 -1/1 -5/17 -1/1 -2/3 -2/7 -1/2 -7/25 -1/3 0/1 -12/43 -1/8 -29/104 0/1 -17/61 0/1 1/9 -5/18 0/1 -8/29 1/0 -11/40 -3/5 -14/51 -1/2 -3/11 -1/3 0/1 -7/26 0/1 -4/15 1/4 -5/19 2/3 1/1 -6/23 -1/2 -7/27 0/1 1/7 -1/4 1/1 -4/17 1/0 -3/13 1/0 -2/9 -5/2 -7/32 -1/1 -12/55 1/0 -17/78 -2/1 -5/23 -2/1 -1/1 -8/37 1/0 -11/51 -1/1 0/1 -3/14 -2/1 -4/19 -3/4 -9/43 -1/1 0/1 -5/24 -1/1 -1/5 -1/1 0/1 -5/26 0/1 -4/21 1/4 -7/37 0/1 1/3 -3/16 1/1 -5/27 0/1 1/1 -2/11 1/2 -3/17 1/1 2/1 -4/23 3/4 -9/52 1/1 -5/29 1/1 6/5 -1/6 2/1 -2/13 1/0 -3/20 -7/1 -1/7 -3/1 -2/1 -2/15 -1/2 -1/8 -1/1 -2/17 -1/2 -3/26 0/1 -1/9 0/1 1/1 -1/10 0/1 -1/11 1/1 2/1 0/1 1/0 1/10 -2/1 1/9 -3/1 -2/1 1/8 -1/1 1/7 0/1 1/1 2/13 1/0 3/19 -9/1 -8/1 1/6 -4/1 2/11 -5/2 3/16 -3/1 4/21 -9/4 5/26 -2/1 1/5 -2/1 -1/1 3/14 0/1 8/37 1/0 5/23 -1/1 0/1 2/9 1/2 3/13 1/0 4/17 1/0 1/4 -3/1 5/19 -3/1 -8/3 9/34 -2/1 4/15 -9/4 7/26 -2/1 3/11 -2/1 -5/3 8/29 1/0 5/18 -2/1 2/7 -3/2 3/10 0/1 4/13 1/0 5/16 -5/1 11/35 -5/1 -4/1 6/19 -7/2 1/3 -3/1 -2/1 5/14 -2/1 14/39 1/0 23/64 -3/1 9/25 -2/1 -1/1 4/11 1/0 3/8 -1/1 14/37 -1/2 11/29 -1/1 0/1 30/79 -1/10 19/50 0/1 8/21 1/0 5/13 1/0 2/5 -5/2 5/12 -7/3 13/31 -11/5 -2/1 21/50 -2/1 29/69 -11/5 -2/1 8/19 -17/8 11/26 -2/1 3/7 -2/1 -5/3 13/30 -2/1 23/53 -8/7 -1/1 10/23 -1/2 7/16 -3/1 18/41 -5/2 11/25 -3/1 -2/1 4/9 -7/4 13/29 -2/1 -1/1 9/20 -1/1 14/31 -3/2 19/42 0/1 5/11 -2/1 -1/1 6/13 1/0 7/15 -3/1 -2/1 1/2 -2/1 9/17 -2/1 -5/3 8/15 -7/4 7/13 -3/2 6/11 -3/2 11/20 -3/1 5/9 -3/1 -2/1 14/25 -25/14 9/16 -5/3 4/7 1/0 15/26 -2/1 11/19 -2/1 -13/7 18/31 -11/6 7/12 -5/3 17/29 -12/7 -5/3 10/17 -3/2 13/22 -4/3 16/27 -3/4 3/5 -2/1 -5/3 8/13 -3/2 13/21 -7/5 -4/3 31/50 -4/3 80/129 -59/44 129/208 -4/3 49/79 -4/3 -33/25 18/29 -3/2 5/8 -1/1 17/27 -3/1 -2/1 46/73 -3/2 29/46 -2/1 12/19 1/0 7/11 -2/1 -5/3 16/25 -25/16 25/39 -3/2 34/53 -3/2 9/14 -4/3 20/31 1/0 11/17 -2/1 -1/1 24/37 1/0 13/20 -1/1 15/23 -2/1 -1/1 17/26 -2/1 2/3 -3/2 9/13 -3/2 16/23 -23/16 7/10 -4/3 26/37 -3/2 45/64 -1/1 19/27 -7/5 -4/3 31/44 -1/1 43/61 -7/5 -4/3 55/78 -4/3 12/17 -5/4 17/24 -1/1 22/31 -3/2 5/7 -2/1 -1/1 23/32 -13/9 41/57 -10/7 -27/19 18/25 -25/18 31/43 -31/23 -4/3 13/18 -4/3 8/11 -5/4 19/26 -1/1 11/15 -1/1 0/1 14/19 -3/2 17/23 -3/1 -2/1 20/27 -15/8 3/4 -1/1 10/13 -3/2 17/22 -10/7 41/53 -7/5 -32/23 24/31 -11/8 7/9 -7/5 -4/3 25/32 -7/5 18/23 -13/10 29/37 -9/7 -14/11 69/88 -19/15 40/51 -5/4 11/14 -6/5 4/5 -5/4 21/26 -1/1 17/21 -1/1 -6/7 47/58 -2/3 30/37 -1/2 13/16 -1/1 22/27 3/2 9/11 -2/1 -1/1 23/28 -1/1 14/17 -3/2 19/23 -6/5 -1/1 43/52 -1/1 24/29 -3/4 5/6 -2/1 16/19 -7/4 11/13 -3/2 6/7 -3/2 7/8 -1/1 15/17 -14/13 -1/1 23/26 -1/1 8/9 -3/4 1/1 -2/1 -1/1 1/0 -1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(51,44,-182,-157) (-1/1,-6/7) -> (-2/7,-7/25) Hyperbolic Matrix(155,132,182,155) (-6/7,-11/13) -> (11/13,6/7) Hyperbolic Matrix(417,352,494,417) (-11/13,-16/19) -> (16/19,11/13) Hyperbolic Matrix(623,524,988,831) (-16/19,-5/6) -> (29/46,12/19) Hyperbolic Matrix(155,128,-442,-365) (-5/6,-14/17) -> (-6/17,-7/20) Hyperbolic Matrix(625,514,-884,-727) (-14/17,-9/11) -> (-29/41,-12/17) Hyperbolic Matrix(209,170,-702,-571) (-9/11,-13/16) -> (-3/10,-11/37) Hyperbolic Matrix(675,548,-962,-781) (-13/16,-17/21) -> (-33/47,-7/10) Hyperbolic Matrix(883,714,1092,883) (-17/21,-21/26) -> (21/26,17/21) Hyperbolic Matrix(209,168,260,209) (-21/26,-4/5) -> (4/5,21/26) Hyperbolic Matrix(53,42,-130,-103) (-4/5,-7/9) -> (-7/17,-2/5) Hyperbolic Matrix(259,200,-338,-261) (-7/9,-10/13) -> (-10/13,-13/17) Parabolic Matrix(571,436,884,675) (-13/17,-16/21) -> (20/31,11/17) Hyperbolic Matrix(1507,1146,2392,1819) (-16/21,-19/25) -> (17/27,46/73) Hyperbolic Matrix(417,316,962,729) (-19/25,-3/4) -> (13/30,23/53) Hyperbolic Matrix(313,230,-494,-363) (-3/4,-11/15) -> (-7/11,-19/30) Hyperbolic Matrix(571,418,780,571) (-11/15,-19/26) -> (19/26,11/15) Hyperbolic Matrix(417,304,572,417) (-19/26,-8/11) -> (8/11,19/26) Hyperbolic Matrix(105,76,-286,-207) (-8/11,-5/7) -> (-7/19,-4/11) Hyperbolic Matrix(467,332,-806,-573) (-5/7,-17/24) -> (-29/50,-11/19) Hyperbolic Matrix(209,148,442,313) (-17/24,-29/41) -> (7/15,1/2) Hyperbolic Matrix(883,622,-1404,-989) (-12/17,-19/27) -> (-17/27,-22/35) Hyperbolic Matrix(623,438,-2886,-2029) (-19/27,-26/37) -> (-8/37,-11/51) Hyperbolic Matrix(3067,2154,-8294,-5825) (-26/37,-33/47) -> (-27/73,-44/119) Hyperbolic Matrix(261,182,598,417) (-7/10,-16/23) -> (10/23,7/16) Hyperbolic Matrix(415,288,598,415) (-16/23,-9/13) -> (9/13,16/23) Hyperbolic Matrix(53,36,78,53) (-9/13,-2/3) -> (2/3,9/13) Hyperbolic Matrix(261,170,-1196,-779) (-2/3,-13/20) -> (-7/32,-12/55) Hyperbolic Matrix(1509,980,-4082,-2651) (-13/20,-24/37) -> (-44/119,-17/46) Hyperbolic Matrix(469,304,884,573) (-24/37,-11/17) -> (9/17,8/15) Hyperbolic Matrix(469,302,-806,-519) (-11/17,-9/14) -> (-7/12,-25/43) Hyperbolic Matrix(1143,734,1456,935) (-9/14,-34/53) -> (40/51,11/14) Hyperbolic Matrix(2651,1700,4134,2651) (-34/53,-25/39) -> (25/39,34/53) Hyperbolic Matrix(1249,800,1950,1249) (-25/39,-16/25) -> (16/25,25/39) Hyperbolic Matrix(363,232,-1222,-781) (-16/25,-7/11) -> (-11/37,-8/27) Hyperbolic Matrix(1507,954,-2548,-1613) (-19/30,-31/49) -> (-29/49,-13/22) Hyperbolic Matrix(313,198,988,625) (-31/49,-12/19) -> (6/19,1/3) Hyperbolic Matrix(831,524,988,623) (-12/19,-29/46) -> (5/6,16/19) Hyperbolic Matrix(1301,820,-2886,-1819) (-29/46,-17/27) -> (-23/51,-9/20) Hyperbolic Matrix(51,32,-416,-261) (-22/35,-5/8) -> (-1/8,-2/17) Hyperbolic Matrix(207,128,-338,-209) (-5/8,-8/13) -> (-8/13,-11/18) Parabolic Matrix(259,158,936,571) (-11/18,-14/23) -> (8/29,5/18) Hyperbolic Matrix(1039,632,2392,1455) (-14/23,-31/51) -> (23/53,10/23) Hyperbolic Matrix(2341,1422,-6162,-3743) (-31/51,-17/28) -> (-19/50,-49/129) Hyperbolic Matrix(469,284,1118,677) (-17/28,-3/5) -> (13/31,21/50) Hyperbolic Matrix(779,462,-2106,-1249) (-3/5,-16/27) -> (-10/27,-27/73) Hyperbolic Matrix(1767,1046,4654,2755) (-16/27,-29/49) -> (11/29,30/79) Hyperbolic Matrix(105,62,442,261) (-13/22,-10/17) -> (4/17,1/4) Hyperbolic Matrix(157,92,-442,-259) (-10/17,-7/12) -> (-5/14,-6/17) Hyperbolic Matrix(1249,726,1612,937) (-25/43,-18/31) -> (24/31,7/9) Hyperbolic Matrix(989,574,2600,1509) (-18/31,-29/50) -> (19/50,8/21) Hyperbolic Matrix(571,330,988,571) (-11/19,-15/26) -> (15/26,11/19) Hyperbolic Matrix(209,120,364,209) (-15/26,-4/7) -> (4/7,15/26) Hyperbolic Matrix(53,30,-182,-103) (-4/7,-5/9) -> (-5/17,-2/7) Hyperbolic Matrix(51,28,-286,-157) (-5/9,-6/11) -> (-2/11,-3/17) Hyperbolic Matrix(155,84,286,155) (-6/11,-7/13) -> (7/13,6/11) Hyperbolic Matrix(209,112,390,209) (-7/13,-8/15) -> (8/15,7/13) Hyperbolic Matrix(573,304,884,469) (-8/15,-9/17) -> (11/17,24/37) Hyperbolic Matrix(415,218,988,519) (-9/17,-1/2) -> (21/50,29/69) Hyperbolic Matrix(155,72,-338,-157) (-1/2,-6/13) -> (-6/13,-11/24) Parabolic Matrix(469,214,572,261) (-11/24,-5/11) -> (9/11,23/28) Hyperbolic Matrix(261,118,-1378,-623) (-5/11,-14/31) -> (-4/21,-7/37) Hyperbolic Matrix(2495,1126,3224,1455) (-14/31,-23/51) -> (41/53,24/31) Hyperbolic Matrix(103,46,-468,-209) (-9/20,-4/9) -> (-2/9,-7/32) Hyperbolic Matrix(363,160,-1300,-573) (-4/9,-11/25) -> (-7/25,-12/43) Hyperbolic Matrix(155,68,-832,-365) (-11/25,-7/16) -> (-3/16,-5/27) Hyperbolic Matrix(417,182,598,261) (-7/16,-10/23) -> (16/23,7/10) Hyperbolic Matrix(157,68,-598,-259) (-10/23,-3/7) -> (-5/19,-6/23) Hyperbolic Matrix(155,66,364,155) (-3/7,-11/26) -> (11/26,3/7) Hyperbolic Matrix(417,176,988,417) (-11/26,-8/19) -> (8/19,11/26) Hyperbolic Matrix(105,44,-494,-207) (-8/19,-5/12) -> (-3/14,-4/19) Hyperbolic Matrix(415,172,-1508,-625) (-5/12,-12/29) -> (-8/29,-11/40) Hyperbolic Matrix(155,64,-884,-365) (-12/29,-7/17) -> (-3/17,-4/23) Hyperbolic Matrix(51,20,130,51) (-2/5,-5/13) -> (5/13,2/5) Hyperbolic Matrix(209,80,546,209) (-5/13,-8/21) -> (8/21,5/13) Hyperbolic Matrix(1457,554,2054,781) (-8/21,-19/50) -> (17/24,22/31) Hyperbolic Matrix(26833,10192,43264,16433) (-49/129,-79/208) -> (129/208,49/79) Hyperbolic Matrix(26831,10190,43264,16431) (-79/208,-30/79) -> (80/129,129/208) Hyperbolic Matrix(1923,730,2600,987) (-30/79,-11/29) -> (17/23,20/27) Hyperbolic Matrix(417,158,1924,729) (-11/29,-14/37) -> (8/37,5/23) Hyperbolic Matrix(365,138,1378,521) (-14/37,-3/8) -> (9/34,4/15) Hyperbolic Matrix(415,154,-1404,-521) (-3/8,-10/27) -> (-8/27,-13/44) Hyperbolic Matrix(157,58,988,365) (-17/46,-7/19) -> (3/19,1/6) Hyperbolic Matrix(105,38,-572,-207) (-4/11,-9/25) -> (-5/27,-2/11) Hyperbolic Matrix(1091,392,-3042,-1093) (-9/25,-14/39) -> (-14/39,-19/53) Parabolic Matrix(2651,950,3770,1351) (-19/53,-5/14) -> (45/64,19/27) Hyperbolic Matrix(103,36,-598,-209) (-7/20,-1/3) -> (-5/29,-1/6) Hyperbolic Matrix(103,32,-338,-105) (-1/3,-4/13) -> (-4/13,-7/23) Parabolic Matrix(883,268,1196,363) (-7/23,-10/33) -> (14/19,17/23) Hyperbolic Matrix(1301,394,3094,937) (-10/33,-13/43) -> (29/69,8/19) Hyperbolic Matrix(53,16,520,157) (-13/43,-3/10) -> (1/10,1/9) Hyperbolic Matrix(833,246,-2990,-883) (-13/44,-5/17) -> (-17/61,-5/18) Hyperbolic Matrix(1821,508,2054,573) (-12/43,-29/104) -> (23/26,8/9) Hyperbolic Matrix(2963,826,3354,935) (-29/104,-17/61) -> (15/17,23/26) Hyperbolic Matrix(469,130,754,209) (-5/18,-8/29) -> (18/29,5/8) Hyperbolic Matrix(1819,500,2834,779) (-11/40,-14/51) -> (34/53,9/14) Hyperbolic Matrix(51,14,-572,-157) (-14/51,-3/11) -> (-1/11,0/1) Hyperbolic Matrix(155,42,572,155) (-3/11,-7/26) -> (7/26,3/11) Hyperbolic Matrix(209,56,780,209) (-7/26,-4/15) -> (4/15,7/26) Hyperbolic Matrix(53,14,-390,-103) (-4/15,-5/19) -> (-1/7,-2/15) Hyperbolic Matrix(1613,420,2600,677) (-6/23,-7/27) -> (49/79,18/29) Hyperbolic Matrix(623,160,806,207) (-7/27,-1/4) -> (17/22,41/53) Hyperbolic Matrix(261,62,442,105) (-1/4,-4/17) -> (10/17,13/22) Hyperbolic Matrix(103,24,442,103) (-4/17,-3/13) -> (3/13,4/17) Hyperbolic Matrix(53,12,234,53) (-3/13,-2/9) -> (2/9,3/13) Hyperbolic Matrix(1091,238,1664,363) (-12/55,-17/78) -> (17/26,2/3) Hyperbolic Matrix(1561,340,2392,521) (-17/78,-5/23) -> (15/23,17/26) Hyperbolic Matrix(729,158,1924,417) (-5/23,-8/37) -> (14/37,11/29) Hyperbolic Matrix(1299,280,3614,779) (-11/51,-3/14) -> (23/64,9/25) Hyperbolic Matrix(467,98,1482,311) (-4/19,-9/43) -> (11/35,6/19) Hyperbolic Matrix(259,54,494,103) (-9/43,-5/24) -> (1/2,9/17) Hyperbolic Matrix(467,96,754,155) (-5/24,-1/5) -> (13/21,31/50) Hyperbolic Matrix(51,10,260,51) (-1/5,-5/26) -> (5/26,1/5) Hyperbolic Matrix(209,40,1092,209) (-5/26,-4/21) -> (4/21,5/26) Hyperbolic Matrix(53,10,-546,-103) (-7/37,-3/16) -> (-1/10,-1/11) Hyperbolic Matrix(2237,388,2704,469) (-4/23,-9/52) -> (43/52,24/29) Hyperbolic Matrix(2235,386,2704,467) (-9/52,-5/29) -> (19/23,43/52) Hyperbolic Matrix(51,8,-338,-53) (-1/6,-2/13) -> (-2/13,-3/20) Parabolic Matrix(261,38,364,53) (-3/20,-1/7) -> (5/7,23/32) Hyperbolic Matrix(157,20,416,53) (-2/15,-1/8) -> (3/8,14/37) Hyperbolic Matrix(1247,146,1768,207) (-2/17,-3/26) -> (55/78,12/17) Hyperbolic Matrix(1613,184,2288,261) (-3/26,-1/9) -> (43/61,55/78) Hyperbolic Matrix(155,16,494,51) (-1/9,-1/10) -> (5/16,11/35) Hyperbolic Matrix(469,-40,598,-51) (0/1,1/10) -> (69/88,40/51) Hyperbolic Matrix(623,-74,884,-105) (1/9,1/8) -> (31/44,43/61) Hyperbolic Matrix(103,-14,390,-53) (1/8,1/7) -> (5/19,9/34) Hyperbolic Matrix(53,-8,338,-51) (1/7,2/13) -> (2/13,3/19) Parabolic Matrix(157,-28,286,-51) (1/6,2/11) -> (6/11,11/20) Hyperbolic Matrix(365,-68,832,-155) (2/11,3/16) -> (7/16,18/41) Hyperbolic Matrix(623,-118,1378,-261) (3/16,4/21) -> (14/31,19/42) Hyperbolic Matrix(207,-44,494,-105) (1/5,3/14) -> (5/12,13/31) Hyperbolic Matrix(2029,-438,2886,-623) (3/14,8/37) -> (26/37,45/64) Hyperbolic Matrix(209,-46,468,-103) (5/23,2/9) -> (4/9,13/29) Hyperbolic Matrix(259,-68,598,-157) (1/4,5/19) -> (3/7,13/30) Hyperbolic Matrix(1039,-286,1326,-365) (3/11,8/29) -> (18/23,29/37) Hyperbolic Matrix(157,-44,182,-51) (5/18,2/7) -> (6/7,7/8) Hyperbolic Matrix(103,-30,182,-53) (2/7,3/10) -> (9/16,4/7) Hyperbolic Matrix(105,-32,338,-103) (3/10,4/13) -> (4/13,5/16) Parabolic Matrix(259,-92,442,-157) (1/3,5/14) -> (7/12,17/29) Hyperbolic Matrix(1093,-392,3042,-1091) (5/14,14/39) -> (14/39,23/64) Parabolic Matrix(571,-206,1300,-469) (9/25,4/11) -> (18/41,11/25) Hyperbolic Matrix(207,-76,286,-105) (4/11,3/8) -> (13/18,8/11) Hyperbolic Matrix(6449,-2450,10400,-3951) (30/79,19/50) -> (31/50,80/129) Hyperbolic Matrix(103,-42,130,-53) (2/5,5/12) -> (11/14,4/5) Hyperbolic Matrix(209,-92,234,-103) (11/25,4/9) -> (8/9,1/1) Hyperbolic Matrix(677,-304,1040,-467) (13/29,9/20) -> (13/20,15/23) Hyperbolic Matrix(1819,-820,2886,-1301) (9/20,14/31) -> (46/73,29/46) Hyperbolic Matrix(1977,-896,2522,-1143) (19/42,5/11) -> (29/37,69/88) Hyperbolic Matrix(157,-72,338,-155) (5/11,6/13) -> (6/13,7/15) Parabolic Matrix(365,-202,468,-259) (11/20,5/9) -> (7/9,25/32) Hyperbolic Matrix(937,-524,1300,-727) (5/9,14/25) -> (18/25,31/43) Hyperbolic Matrix(677,-380,832,-467) (14/25,9/16) -> (13/16,22/27) Hyperbolic Matrix(573,-332,806,-467) (11/19,18/31) -> (22/31,5/7) Hyperbolic Matrix(519,-302,806,-469) (18/31,7/12) -> (9/14,20/31) Hyperbolic Matrix(729,-428,884,-519) (17/29,10/17) -> (14/17,19/23) Hyperbolic Matrix(521,-308,702,-415) (13/22,16/27) -> (20/27,3/4) Hyperbolic Matrix(1197,-710,1664,-987) (16/27,3/5) -> (41/57,18/25) Hyperbolic Matrix(209,-128,338,-207) (3/5,8/13) -> (8/13,13/21) Parabolic Matrix(989,-622,1404,-883) (5/8,17/27) -> (19/27,31/44) Hyperbolic Matrix(363,-230,494,-313) (12/19,7/11) -> (11/15,14/19) Hyperbolic Matrix(467,-298,572,-365) (7/11,16/25) -> (22/27,9/11) Hyperbolic Matrix(2339,-1518,2886,-1873) (24/37,13/20) -> (47/58,30/37) Hyperbolic Matrix(781,-548,962,-675) (7/10,26/37) -> (30/37,13/16) Hyperbolic Matrix(727,-514,884,-625) (12/17,17/24) -> (23/28,14/17) Hyperbolic Matrix(3223,-2318,3978,-2861) (23/32,41/57) -> (17/21,47/58) Hyperbolic Matrix(571,-412,650,-469) (31/43,13/18) -> (7/8,15/17) Hyperbolic Matrix(261,-200,338,-259) (3/4,10/13) -> (10/13,17/22) Parabolic Matrix(883,-690,1066,-833) (25/32,18/23) -> (24/29,5/6) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(3,2,-2,-1) Matrix(51,44,-182,-157) -> Matrix(1,1,-4,-3) Matrix(155,132,182,155) -> Matrix(11,7,-8,-5) Matrix(417,352,494,417) -> Matrix(13,5,-8,-3) Matrix(623,524,988,831) -> Matrix(7,2,-4,-1) Matrix(155,128,-442,-365) -> Matrix(1,1,-4,-3) Matrix(625,514,-884,-727) -> Matrix(1,2,-2,-3) Matrix(209,170,-702,-571) -> Matrix(3,5,-2,-3) Matrix(675,548,-962,-781) -> Matrix(5,7,-8,-11) Matrix(883,714,1092,883) -> Matrix(13,14,-14,-15) Matrix(209,168,260,209) -> Matrix(9,8,-8,-7) Matrix(53,42,-130,-103) -> Matrix(1,1,-2,-1) Matrix(259,200,-338,-261) -> Matrix(5,3,-12,-7) Matrix(571,436,884,675) -> Matrix(7,2,-4,-1) Matrix(1507,1146,2392,1819) -> Matrix(11,2,-6,-1) Matrix(417,316,962,729) -> Matrix(1,-1,0,1) Matrix(313,230,-494,-363) -> Matrix(1,1,-2,-1) Matrix(571,418,780,571) -> Matrix(1,2,-2,-3) Matrix(417,304,572,417) -> Matrix(9,8,-8,-7) Matrix(105,76,-286,-207) -> Matrix(1,1,-4,-3) Matrix(467,332,-806,-573) -> Matrix(1,1,-8,-7) Matrix(209,148,442,313) -> Matrix(9,7,-4,-3) Matrix(883,622,-1404,-989) -> Matrix(3,2,-2,-1) Matrix(623,438,-2886,-2029) -> Matrix(5,3,-2,-1) Matrix(3067,2154,-8294,-5825) -> Matrix(15,11,-26,-19) Matrix(261,182,598,417) -> Matrix(9,5,-2,-1) Matrix(415,288,598,415) -> Matrix(47,25,-32,-17) Matrix(53,36,78,53) -> Matrix(1,-1,0,1) Matrix(261,170,-1196,-779) -> Matrix(3,2,-2,-1) Matrix(1509,980,-4082,-2651) -> Matrix(7,3,-12,-5) Matrix(469,304,884,573) -> Matrix(7,2,-4,-1) Matrix(469,302,-806,-519) -> Matrix(1,1,-6,-5) Matrix(1143,734,1456,935) -> Matrix(27,16,-22,-13) Matrix(2651,1700,4134,2651) -> Matrix(83,43,-56,-29) Matrix(1249,800,1950,1249) -> Matrix(49,23,-32,-15) Matrix(363,232,-1222,-781) -> Matrix(13,5,-8,-3) Matrix(1507,954,-2548,-1613) -> Matrix(1,2,-2,-3) Matrix(313,198,988,625) -> Matrix(7,4,-2,-1) Matrix(831,524,988,623) -> Matrix(7,2,-4,-1) Matrix(1301,820,-2886,-1819) -> Matrix(3,1,-4,-1) Matrix(51,32,-416,-261) -> Matrix(1,0,0,1) Matrix(207,128,-338,-209) -> Matrix(5,3,-12,-7) Matrix(259,158,936,571) -> Matrix(1,0,2,1) Matrix(1039,632,2392,1455) -> Matrix(5,2,-8,-3) Matrix(2341,1422,-6162,-3743) -> Matrix(23,7,-10,-3) Matrix(469,284,1118,677) -> Matrix(35,11,-16,-5) Matrix(779,462,-2106,-1249) -> Matrix(1,3,-2,-5) Matrix(1767,1046,4654,2755) -> Matrix(1,1,-6,-5) Matrix(105,62,442,261) -> Matrix(9,5,-2,-1) Matrix(157,92,-442,-259) -> Matrix(3,1,-4,-1) Matrix(1249,726,1612,937) -> Matrix(13,4,-10,-3) Matrix(989,574,2600,1509) -> Matrix(1,0,6,1) Matrix(571,330,988,571) -> Matrix(27,2,-14,-1) Matrix(209,120,364,209) -> Matrix(1,-2,0,1) Matrix(53,30,-182,-103) -> Matrix(1,1,-2,-1) Matrix(51,28,-286,-157) -> Matrix(1,1,0,1) Matrix(155,84,286,155) -> Matrix(1,-1,0,1) Matrix(209,112,390,209) -> Matrix(13,5,-8,-3) Matrix(573,304,884,469) -> Matrix(7,2,-4,-1) Matrix(415,218,988,519) -> Matrix(5,-2,-2,1) Matrix(155,72,-338,-157) -> Matrix(1,-1,0,1) Matrix(469,214,572,261) -> Matrix(3,2,-2,-1) Matrix(261,118,-1378,-623) -> Matrix(1,1,2,3) Matrix(2495,1126,3224,1455) -> Matrix(3,-4,-2,3) Matrix(103,46,-468,-209) -> Matrix(3,2,-2,-1) Matrix(363,160,-1300,-573) -> Matrix(1,0,-4,1) Matrix(155,68,-832,-365) -> Matrix(1,0,0,1) Matrix(417,182,598,261) -> Matrix(3,-7,-2,5) Matrix(157,68,-598,-259) -> Matrix(1,1,0,1) Matrix(155,66,364,155) -> Matrix(11,2,-6,-1) Matrix(417,176,988,417) -> Matrix(33,-2,-16,1) Matrix(105,44,-494,-207) -> Matrix(5,-1,-4,1) Matrix(415,172,-1508,-625) -> Matrix(3,-2,-4,3) Matrix(155,64,-884,-365) -> Matrix(1,0,0,1) Matrix(51,20,130,51) -> Matrix(1,-3,0,1) Matrix(209,80,546,209) -> Matrix(1,3,0,1) Matrix(1457,554,2054,781) -> Matrix(3,5,-2,-3) Matrix(26833,10192,43264,16433) -> Matrix(85,174,-64,-131) Matrix(26831,10190,43264,16431) -> Matrix(99,194,-74,-145) Matrix(1923,730,2600,987) -> Matrix(5,8,-2,-3) Matrix(417,158,1924,729) -> Matrix(1,2,-2,-3) Matrix(365,138,1378,521) -> Matrix(5,3,-2,-1) Matrix(415,154,-1404,-521) -> Matrix(7,6,-6,-5) Matrix(157,58,988,365) -> Matrix(15,8,-2,-1) Matrix(105,38,-572,-207) -> Matrix(1,0,2,1) Matrix(1091,392,-3042,-1093) -> Matrix(1,-1,0,1) Matrix(2651,950,3770,1351) -> Matrix(3,-1,-2,1) Matrix(103,36,-598,-209) -> Matrix(5,1,4,1) Matrix(103,32,-338,-105) -> Matrix(1,-5,0,1) Matrix(883,268,1196,363) -> Matrix(1,2,0,1) Matrix(1301,394,3094,937) -> Matrix(13,37,-6,-17) Matrix(53,16,520,157) -> Matrix(1,0,0,1) Matrix(833,246,-2990,-883) -> Matrix(1,1,6,7) Matrix(1821,508,2054,573) -> Matrix(11,1,-12,-1) Matrix(2963,826,3354,935) -> Matrix(23,-1,-22,1) Matrix(469,130,754,209) -> Matrix(3,-1,-2,1) Matrix(1819,500,2834,779) -> Matrix(23,13,-16,-9) Matrix(51,14,-572,-157) -> Matrix(5,2,2,1) Matrix(155,42,572,155) -> Matrix(11,2,-6,-1) Matrix(209,56,780,209) -> Matrix(17,-2,-8,1) Matrix(53,14,-390,-103) -> Matrix(3,-1,-2,1) Matrix(1613,420,2600,677) -> Matrix(5,4,-4,-3) Matrix(623,160,806,207) -> Matrix(17,-7,-12,5) Matrix(261,62,442,105) -> Matrix(3,-7,-2,5) Matrix(103,24,442,103) -> Matrix(1,-11,0,1) Matrix(53,12,234,53) -> Matrix(1,3,0,1) Matrix(1091,238,1664,363) -> Matrix(3,8,-2,-5) Matrix(1561,340,2392,521) -> Matrix(1,0,0,1) Matrix(729,158,1924,417) -> Matrix(1,2,-2,-3) Matrix(1299,280,3614,779) -> Matrix(1,-1,0,1) Matrix(467,98,1482,311) -> Matrix(9,5,-2,-1) Matrix(259,54,494,103) -> Matrix(3,5,-2,-3) Matrix(467,96,754,155) -> Matrix(11,7,-8,-5) Matrix(51,10,260,51) -> Matrix(3,2,-2,-1) Matrix(209,40,1092,209) -> Matrix(17,-2,-8,1) Matrix(53,10,-546,-103) -> Matrix(1,-1,2,-1) Matrix(2237,388,2704,469) -> Matrix(7,-6,-8,7) Matrix(2235,386,2704,467) -> Matrix(11,-12,-10,11) Matrix(51,8,-338,-53) -> Matrix(1,-9,0,1) Matrix(261,38,364,53) -> Matrix(3,8,-2,-5) Matrix(157,20,416,53) -> Matrix(1,0,0,1) Matrix(1247,146,1768,207) -> Matrix(13,4,-10,-3) Matrix(1613,184,2288,261) -> Matrix(11,-4,-8,3) Matrix(155,16,494,51) -> Matrix(1,-5,0,1) Matrix(469,-40,598,-51) -> Matrix(5,29,-4,-23) Matrix(623,-74,884,-105) -> Matrix(3,2,-2,-1) Matrix(103,-14,390,-53) -> Matrix(5,3,-2,-1) Matrix(53,-8,338,-51) -> Matrix(1,-9,0,1) Matrix(157,-28,286,-51) -> Matrix(1,1,0,1) Matrix(365,-68,832,-155) -> Matrix(1,0,0,1) Matrix(623,-118,1378,-261) -> Matrix(1,3,-2,-5) Matrix(207,-44,494,-105) -> Matrix(9,7,-4,-3) Matrix(2029,-438,2886,-623) -> Matrix(3,-1,-2,1) Matrix(209,-46,468,-103) -> Matrix(3,2,-2,-1) Matrix(259,-68,598,-157) -> Matrix(1,1,0,1) Matrix(1039,-286,1326,-365) -> Matrix(13,17,-10,-13) Matrix(157,-44,182,-51) -> Matrix(5,9,-4,-7) Matrix(103,-30,182,-53) -> Matrix(3,5,-2,-3) Matrix(105,-32,338,-103) -> Matrix(1,-5,0,1) Matrix(259,-92,442,-157) -> Matrix(7,9,-4,-5) Matrix(1093,-392,3042,-1091) -> Matrix(1,-1,0,1) Matrix(571,-206,1300,-469) -> Matrix(5,8,-2,-3) Matrix(207,-76,286,-105) -> Matrix(5,9,-4,-7) Matrix(6449,-2450,10400,-3951) -> Matrix(19,-4,-14,3) Matrix(103,-42,130,-53) -> Matrix(3,5,-2,-3) Matrix(209,-92,234,-103) -> Matrix(1,1,0,1) Matrix(677,-304,1040,-467) -> Matrix(1,0,0,1) Matrix(1819,-820,2886,-1301) -> Matrix(7,9,-4,-5) Matrix(1977,-896,2522,-1143) -> Matrix(5,19,-4,-15) Matrix(157,-72,338,-155) -> Matrix(1,-1,0,1) Matrix(365,-202,468,-259) -> Matrix(3,2,-2,-1) Matrix(937,-524,1300,-727) -> Matrix(27,50,-20,-37) Matrix(677,-380,832,-467) -> Matrix(1,2,-4,-7) Matrix(573,-332,806,-467) -> Matrix(9,17,-8,-15) Matrix(519,-302,806,-469) -> Matrix(7,13,-6,-11) Matrix(729,-428,884,-519) -> Matrix(11,18,-8,-13) Matrix(521,-308,702,-415) -> Matrix(7,9,-4,-5) Matrix(1197,-710,1664,-987) -> Matrix(3,-4,-2,3) Matrix(209,-128,338,-207) -> Matrix(17,27,-12,-19) Matrix(989,-622,1404,-883) -> Matrix(3,2,-2,-1) Matrix(363,-230,494,-313) -> Matrix(3,5,-2,-3) Matrix(467,-298,572,-365) -> Matrix(5,8,-2,-3) Matrix(2339,-1518,2886,-1873) -> Matrix(1,3,-2,-5) Matrix(781,-548,962,-675) -> Matrix(5,7,-8,-11) Matrix(727,-514,884,-625) -> Matrix(1,2,-2,-3) Matrix(3223,-2318,3978,-2861) -> Matrix(23,33,-30,-43) Matrix(571,-412,650,-469) -> Matrix(19,25,-16,-21) Matrix(261,-200,338,-259) -> Matrix(17,27,-12,-19) Matrix(883,-690,1066,-833) -> Matrix(1,1,2,3) 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): 112 Imminent integer overflow caused the modular group computation to abort.