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): 1728 Minimal number of generators: 289 Number of equivalence classes of cusps: 96 Genus: 97 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/1 -8/1 -7/1 -6/1 -17/3 -11/2 -16/3 -5/1 -4/1 -17/5 -13/4 -35/11 -3/1 -14/5 -5/2 -26/11 -16/7 -11/5 -2/1 -1/1 -5/8 -14/23 -13/22 -1/2 -7/16 -2/5 -5/14 -7/22 -4/13 -10/37 -1/4 -2/11 -2/17 -1/10 0/1 1/8 1/5 1/4 2/7 4/11 5/13 1/2 19/35 10/17 7/11 11/16 3/4 4/5 1/1 13/11 5/4 7/5 16/11 3/2 11/7 28/17 17/10 7/4 23/13 2/1 37/17 9/4 25/11 7/3 19/8 5/2 13/5 8/3 11/4 3/1 16/5 55/17 13/4 10/3 7/2 11/3 4/1 29/7 17/4 13/3 9/2 14/3 5/1 16/3 11/2 28/5 17/3 6/1 31/5 13/2 7/1 15/2 8/1 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -9/1 -1/2 1/0 -8/1 0/1 1/1 1/0 -7/1 1/0 -13/2 -1/1 1/0 -6/1 0/1 1/1 1/0 -17/3 1/0 -11/2 1/0 -27/5 1/0 -43/8 1/0 -16/3 -4/1 -3/1 1/0 -21/4 1/0 -5/1 -3/2 1/0 -19/4 -1/1 -33/7 1/0 -14/3 -1/1 0/1 1/0 -9/2 -2/1 1/0 -22/5 -3/1 -2/1 1/0 -35/8 -2/1 -13/3 -3/2 -17/4 1/0 -21/5 -3/2 1/0 -4/1 -1/1 -19/5 -1/2 -15/4 -3/4 -26/7 -1/1 -2/3 -1/2 -37/10 -1/1 -11/3 -3/4 -1/2 -40/11 -1/3 -1/4 0/1 -69/19 1/0 -29/8 -1/1 -18/5 -1/1 -2/3 -1/2 -7/2 -1/2 0/1 -17/5 -1/1 -10/3 -1/2 -1/3 0/1 -23/7 -1/2 -1/4 -13/4 0/1 -29/9 1/4 1/2 -16/5 0/1 1/1 1/0 -35/11 0/1 -19/6 1/1 1/0 -3/1 1/0 -17/6 -3/2 -1/1 -14/5 -1/1 -25/9 -5/6 -3/4 -11/4 -1/2 -19/7 -1/1 -27/10 -1/1 -1/2 -8/3 -1/1 -2/3 -1/2 -21/8 -1/2 -55/21 -1/2 -34/13 -1/3 -13/5 -1/2 1/0 -31/12 -1/2 -18/7 -2/5 -3/8 -1/3 -41/16 -3/10 -23/9 -1/4 -5/2 0/1 -22/9 0/1 1/2 1/1 -39/16 3/2 -17/7 1/0 -12/5 0/1 1/1 1/0 -19/8 1/0 -64/27 -2/1 -1/1 1/0 -45/19 1/0 -71/30 -2/1 -3/2 -26/11 -1/1 -59/25 1/0 -33/14 -1/1 1/0 -7/3 -1/2 1/0 -23/10 -1/1 1/0 -16/7 -1/1 -41/18 -1/1 -3/4 -66/29 -1/1 -2/3 -1/2 -25/11 -1/2 -9/4 -1/2 -38/17 -1/1 1/1 -67/30 2/1 1/0 -29/13 -3/2 1/0 -20/9 -1/1 -1/2 0/1 -11/5 -1/2 -24/11 -1/2 -2/5 -1/3 -13/6 -1/2 0/1 -2/1 -1/1 0/1 1/0 -1/1 0/1 -2/3 0/1 1/4 1/3 -13/20 1/4 -11/17 1/2 -9/14 0/1 1/2 -16/25 0/1 -23/36 1/8 -7/11 1/6 1/4 -33/52 1/4 -26/41 1/5 1/3 -71/112 1/2 -45/71 1/4 -19/30 1/5 1/4 -12/19 1/4 2/7 1/3 -17/27 1/4 -22/35 1/3 2/5 1/2 -5/8 1/3 -23/37 1/4 -18/29 1/3 2/5 1/2 -13/21 3/8 1/2 -34/55 1/3 3/7 -89/144 1/2 -55/89 1/2 -21/34 3/7 1/2 -8/13 0/1 1/2 1/1 -19/31 1/1 -11/18 0/1 1/0 -25/41 -1/2 -1/4 -14/23 0/1 -17/28 1/6 -3/5 1/4 -19/32 1/4 -16/27 3/10 4/13 1/3 -13/22 1/3 -36/61 1/3 7/20 6/17 -23/39 5/14 3/8 -10/17 1/3 2/5 1/2 -17/29 1/3 -7/12 1/2 -18/31 0/1 1/2 1/1 -29/50 0/1 -69/119 1/4 -40/69 0/1 1/5 1/4 -11/19 1/4 1/2 -15/26 1/4 1/3 -34/59 1/3 4/11 3/8 -19/33 1/2 -4/7 1/3 1/1 -17/30 1/4 1/3 -30/53 1/3 4/11 3/8 -13/23 1/2 -9/16 1/2 -14/25 0/1 1/2 1/1 -33/59 1/0 -19/34 0/1 -5/9 1/4 1/2 -16/29 1/4 2/7 1/3 -11/20 1/3 -6/11 1/3 3/8 2/5 -7/13 1/2 -8/15 1/3 3/8 2/5 -1/2 0/1 1/2 -6/13 2/3 3/4 1/1 -17/37 1/2 1/0 -11/24 1/0 -5/11 1/2 -14/31 1/2 3/5 2/3 -9/20 5/8 -22/49 2/3 -13/29 1/2 3/4 -30/67 1/2 3/5 2/3 -17/38 2/3 -21/47 1/2 -25/56 5/8 -4/9 2/3 3/4 1/1 -11/25 3/4 -7/16 1/1 -17/39 5/4 -27/62 3/2 2/1 -10/23 1/1 2/1 1/0 -3/7 1/2 1/0 -14/33 0/1 1/2 1/1 -11/26 0/1 -30/71 0/1 1/3 1/2 -19/45 1/4 -27/64 1/2 -8/19 0/1 1/3 1/2 -5/12 1/2 -7/17 1/2 -9/22 1/1 1/0 -2/5 1/3 1/1 -9/23 1/2 -7/18 1/1 1/0 -19/49 1/0 -12/31 0/1 1/1 1/0 -5/13 1/2 1/0 -13/34 0/1 -34/89 0/1 1/4 1/3 -21/55 1/2 -29/76 1/4 -8/21 0/1 1/3 1/2 -3/8 1/2 -10/27 1/2 3/5 2/3 -17/46 1/2 2/3 -7/19 1/1 -4/11 1/2 2/3 1/1 -9/25 3/4 5/6 -5/14 1/1 -6/17 1/1 4/3 3/2 -1/3 1/0 -7/22 0/1 -6/19 -1/1 0/1 1/0 -11/35 0/1 -5/16 -1/2 -4/13 0/1 -11/36 1/10 -7/23 1/8 1/6 -3/10 0/1 1/4 -5/17 1/3 -2/7 0/1 1/3 1/2 -5/18 1/2 3/5 -8/29 3/5 1/1 -19/69 5/8 -11/40 3/4 -3/11 1/2 3/4 -13/48 3/4 -10/37 1/1 -7/26 1/2 1/1 -11/41 1/2 -4/15 1/2 2/3 1/1 -9/34 1/1 3/2 -5/19 1/0 -1/4 1/1 -5/21 -1/2 1/0 -9/38 0/1 1/2 -4/17 1/2 2/3 1/1 -7/30 1/1 3/2 -3/13 1/0 -8/35 1/1 -5/22 1/1 1/0 -7/31 1/1 -2/9 1/1 2/1 1/0 -3/14 -1/1 1/0 -7/33 1/0 -4/19 -1/1 1/1 -1/5 -1/2 1/0 -5/26 0/1 -9/47 1/0 -13/68 1/0 -4/21 -1/1 -1/2 0/1 -7/37 -1/2 -3/16 -1/4 -2/11 0/1 -5/28 1/8 -8/45 0/1 1/7 1/6 -3/17 1/6 -1/6 0/1 1/2 -2/13 0/1 1/4 1/3 -3/20 1/2 -4/27 1/2 2/3 1/1 -1/7 1/2 -1/8 1/0 -4/33 0/1 1/5 1/4 -3/25 1/4 -2/17 1/3 1/1 -1/9 1/2 1/0 -1/10 1/1 0/1 0/1 1/1 1/0 1/9 1/0 1/8 0/1 1/7 1/4 1/2 2/13 1/1 5/32 1/0 3/19 1/0 4/25 -1/3 -1/4 0/1 1/6 0/1 1/2 3/17 1/6 1/4 5/28 1/3 2/11 1/3 2/5 1/2 1/5 1/2 4/19 1/2 2/3 1/1 7/33 1/2 1/0 3/14 1/2 1/1 5/23 1/2 1/0 2/9 0/1 1/2 1/1 5/22 1/1 3/13 3/2 1/0 7/30 -2/1 1/0 11/47 -1/2 4/17 -1/1 1/1 5/21 1/0 6/25 -1/1 -1/2 0/1 1/4 1/2 4/15 0/1 1/3 1/2 7/26 2/3 3/11 1/2 2/7 1/1 5/17 3/2 8/27 1/1 3/2 2/1 3/10 1/1 1/0 4/13 0/1 1/1 1/0 5/16 1/1 1/3 1/2 1/0 6/17 1/1 2/1 1/0 5/14 1/1 1/0 4/11 1/1 11/30 3/2 2/1 7/19 1/0 10/27 1/1 2/1 1/0 23/62 1/1 3/2 13/35 2/1 16/43 1/1 3/2 2/1 3/8 1/0 8/21 4/1 5/1 1/0 5/13 1/0 12/31 -6/1 -5/1 1/0 7/18 -3/1 1/0 2/5 -1/1 0/1 1/0 7/17 1/1 5/12 1/0 13/31 9/2 1/0 8/19 1/0 11/26 -4/1 1/0 14/33 -3/1 -2/1 1/0 3/7 1/0 4/9 -1/1 -1/2 0/1 13/29 -1/2 9/20 1/0 5/11 -3/4 -1/2 1/2 0/1 7/13 3/14 1/4 13/24 1/4 19/35 1/4 6/11 1/4 3/11 2/7 11/20 1/4 5/9 1/4 4/7 1/3 3/8 2/5 19/33 5/12 1/2 34/59 1/3 15/26 2/5 1/2 11/19 1/2 7/12 1/2 10/17 1/2 13/22 1/2 4/7 16/27 3/5 5/8 2/3 3/5 1/2 1/0 14/23 0/1 1/4 1/3 11/18 0/1 1/2 19/31 1/4 8/13 1/3 21/34 1/3 1/2 13/21 1/2 18/29 1/3 4/11 3/8 41/66 3/8 2/5 23/37 2/5 5/8 1/2 12/19 5/11 6/13 1/2 7/11 1/2 16/25 1/2 9/17 8/15 9/14 1/2 5/9 2/3 1/2 2/3 1/1 11/16 1/1 20/29 1/1 3/2 2/1 49/71 2/1 29/42 2/1 1/0 38/55 -1/1 1/1 9/13 1/2 16/23 1/1 23/33 1/2 1/0 7/10 1/2 1/1 26/37 1/1 45/64 1/0 19/27 1/2 12/17 1/2 2/3 1/1 5/7 1/1 13/18 0/1 1/0 21/29 1/4 29/40 1/3 37/51 5/12 1/2 45/62 6/13 1/2 8/11 1/2 2/3 1/1 11/15 1/2 3/4 1/2 13/17 3/4 23/30 3/4 1/1 10/13 2/3 3/4 1/1 17/22 2/3 24/31 8/11 11/15 3/4 55/71 3/4 31/40 3/4 38/49 7/9 7/9 3/4 5/6 4/5 1/1 9/11 5/4 3/2 14/17 4/3 7/5 3/2 5/6 1/1 3/2 21/25 3/2 16/19 1/1 3/2 2/1 27/32 1/0 11/13 2/1 6/7 1/1 2/1 1/0 7/8 1/1 8/9 0/1 1/1 1/0 9/10 1/1 1/0 1/1 1/0 8/7 -1/1 1/1 7/6 -1/1 1/0 20/17 -1/1 -1/2 0/1 33/28 -1/2 13/11 0/1 19/16 1/0 6/5 -1/1 0/1 1/0 5/4 0/1 14/11 0/1 1/6 1/5 23/18 0/1 1/4 32/25 1/5 9/7 1/4 1/2 22/17 1/5 1/3 13/10 1/3 1/2 17/13 1/2 4/3 0/1 1/3 1/2 15/11 1/2 26/19 1/2 11/8 1/2 40/29 3/5 1/1 29/21 1/2 18/13 1/2 2/3 1/1 7/5 1/1 17/12 1/0 27/19 1/0 64/45 0/1 1/1 1/0 37/26 1/1 10/7 1/1 2/1 1/0 53/37 1/0 96/67 -14/1 -13/1 1/0 43/30 -6/1 1/0 33/23 -5/2 1/0 23/16 -1/1 13/9 -1/2 55/38 0/1 42/29 -1/2 -1/3 0/1 29/20 -1/4 16/11 0/1 3/2 0/1 1/2 14/9 1/3 2/5 1/2 11/7 1/2 30/19 1/2 5/9 4/7 19/12 1/2 8/5 1/2 2/3 1/1 45/28 1/2 37/23 2/3 29/18 3/4 1/1 21/13 1/2 13/8 1/1 44/27 0/1 1/1 1/0 31/19 1/0 49/30 -1/2 0/1 116/71 -1/7 -1/8 0/1 67/41 0/1 18/11 0/1 1/4 1/3 23/14 2/5 1/2 28/17 1/2 5/3 1/2 3/4 27/16 3/4 22/13 2/3 3/4 1/1 17/10 1/1 46/27 0/1 1/2 1/1 29/17 1/2 12/7 1/2 2/3 1/1 19/11 1/2 26/15 3/5 5/8 2/3 59/34 2/3 33/19 1/2 5/8 7/4 3/4 30/17 8/9 9/10 1/1 23/13 1/1 62/35 1/1 12/11 11/10 39/22 1/1 7/6 16/9 1/1 3/2 2/1 9/5 1/2 20/11 0/1 1/2 1/1 11/6 1/2 1/1 2/1 1/1 13/6 1/1 3/2 37/17 3/2 24/11 1/1 3/2 2/1 11/5 3/2 1/0 20/9 1/1 5/4 4/3 9/4 1/0 34/15 2/3 3/4 1/1 25/11 1/1 66/29 1/1 14/13 13/12 41/18 1/1 9/8 16/7 1/1 5/4 4/3 7/3 3/2 33/14 3/2 5/3 59/25 2/1 26/11 3/2 5/3 2/1 19/8 2/1 50/21 2/1 9/4 7/3 31/13 5/2 1/0 12/5 2/1 3/1 1/0 29/12 1/0 17/7 1/1 5/2 2/1 1/0 18/7 3/1 4/1 1/0 13/5 1/0 34/13 -3/1 -2/1 1/0 21/8 1/0 8/3 0/1 1/1 1/0 43/16 3/2 78/29 1/1 2/1 1/0 35/13 2/1 62/23 2/1 5/2 3/1 27/10 2/1 1/0 46/17 1/0 19/7 1/0 49/18 -1/2 0/1 79/29 0/1 109/40 1/6 30/11 0/1 1/3 1/2 41/15 1/2 1/0 52/19 0/1 1/1 1/0 11/4 1/1 25/9 1/0 39/14 1/1 1/0 92/33 0/1 1/1 1/0 53/19 1/1 14/5 1/1 2/1 1/0 31/11 1/0 17/6 1/1 1/0 3/1 3/2 1/0 16/5 1/1 3/1 29/9 1/0 42/13 2/1 5/2 3/1 55/17 3/1 68/21 3/1 7/2 4/1 13/4 1/0 23/7 1/0 10/3 3/1 4/1 1/0 7/2 1/0 18/5 -3/1 -2/1 1/0 47/13 -2/1 76/21 -2/1 -1/1 1/0 29/8 1/0 69/19 -9/2 1/0 40/11 -3/1 11/3 1/0 26/7 -1/1 1/1 41/11 -1/2 1/0 56/15 0/1 1/1 1/0 71/19 1/0 15/4 1/0 19/5 -1/1 4/1 -1/1 0/1 1/0 33/8 -1/4 29/7 0/1 25/6 0/1 1/4 21/5 1/2 17/4 1/1 47/11 1/2 30/7 0/1 1/2 1/1 73/17 1/2 43/10 1/2 1/1 13/3 1/2 1/0 22/5 1/1 9/2 1/1 1/0 23/5 3/2 1/0 37/8 2/1 14/3 1/1 2/1 1/0 33/7 3/2 1/0 19/4 5/2 24/5 3/1 7/2 4/1 5/1 1/0 16/3 -2/1 -1/1 1/0 11/2 -1/1 1/0 28/5 -1/1 -1/3 45/8 -1/2 107/19 -1/2 62/11 -1/2 -1/3 0/1 17/3 -1/2 1/0 6/1 -1/1 0/1 1/0 31/5 0/1 56/9 0/1 1/9 1/8 25/4 1/4 19/3 1/0 32/5 0/1 1/1 1/0 45/7 -1/2 1/0 13/2 0/1 7/1 1/2 1/0 15/2 1/2 1/1 8/1 1/1 9/1 3/2 10/1 1/1 2/1 1/0 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(13,120,-48,-443) (-9/1,1/0) -> (-3/11,-13/48) Hyperbolic Matrix(51,448,-88,-773) (-9/1,-8/1) -> (-40/69,-11/19) Hyperbolic Matrix(21,164,16,125) (-8/1,-7/1) -> (17/13,4/3) Hyperbolic Matrix(45,296,-116,-763) (-7/1,-13/2) -> (-7/18,-19/49) Hyperbolic Matrix(33,212,40,257) (-13/2,-6/1) -> (14/17,5/6) Hyperbolic Matrix(83,480,60,347) (-6/1,-17/3) -> (29/21,18/13) Hyperbolic Matrix(87,484,-16,-89) (-17/3,-11/2) -> (-11/2,-27/5) Parabolic Matrix(49,264,312,1681) (-27/5,-43/8) -> (5/32,3/19) Hyperbolic Matrix(199,1064,124,663) (-43/8,-16/3) -> (8/5,45/28) Hyperbolic Matrix(25,132,-168,-887) (-16/3,-21/4) -> (-3/20,-4/27) Hyperbolic Matrix(61,312,-96,-491) (-21/4,-5/1) -> (-7/11,-33/52) Hyperbolic Matrix(9,44,28,137) (-5/1,-19/4) -> (5/16,1/3) Hyperbolic Matrix(203,960,48,227) (-19/4,-33/7) -> (21/5,17/4) Hyperbolic Matrix(107,504,252,1187) (-33/7,-14/3) -> (14/33,3/7) Hyperbolic Matrix(51,232,20,91) (-14/3,-9/2) -> (5/2,18/7) Hyperbolic Matrix(105,464,-284,-1255) (-9/2,-22/5) -> (-10/27,-17/46) Hyperbolic Matrix(297,1304,64,281) (-22/5,-35/8) -> (37/8,14/3) Hyperbolic Matrix(11,48,96,419) (-35/8,-13/3) -> (1/9,1/8) Hyperbolic Matrix(185,796,-76,-327) (-13/3,-17/4) -> (-39/16,-17/7) Hyperbolic Matrix(123,520,-268,-1133) (-17/4,-21/5) -> (-17/37,-11/24) Hyperbolic Matrix(103,428,148,615) (-21/5,-4/1) -> (16/23,23/33) Hyperbolic Matrix(89,340,128,489) (-4/1,-19/5) -> (9/13,16/23) Hyperbolic Matrix(297,1124,-116,-439) (-19/5,-15/4) -> (-41/16,-23/9) Hyperbolic Matrix(119,444,-264,-985) (-15/4,-26/7) -> (-14/31,-9/20) Hyperbolic Matrix(359,1332,252,935) (-26/7,-37/10) -> (37/26,10/7) Hyperbolic Matrix(13,48,-120,-443) (-37/10,-11/3) -> (-1/9,-1/10) Hyperbolic Matrix(81,296,136,497) (-11/3,-40/11) -> (16/27,3/5) Hyperbolic Matrix(109,396,684,2485) (-40/11,-69/19) -> (3/19,4/25) Hyperbolic Matrix(699,2536,164,595) (-69/19,-29/8) -> (17/4,47/11) Hyperbolic Matrix(83,300,96,347) (-29/8,-18/5) -> (6/7,7/8) Hyperbolic Matrix(43,152,28,99) (-18/5,-7/2) -> (3/2,14/9) Hyperbolic Matrix(75,256,104,355) (-7/2,-17/5) -> (5/7,13/18) Hyperbolic Matrix(31,104,76,255) (-17/5,-10/3) -> (2/5,7/17) Hyperbolic Matrix(93,308,16,53) (-10/3,-23/7) -> (17/3,6/1) Hyperbolic Matrix(207,676,-64,-209) (-23/7,-13/4) -> (-13/4,-29/9) Parabolic Matrix(131,420,228,731) (-29/9,-16/5) -> (4/7,19/33) Hyperbolic Matrix(1071,3412,296,943) (-16/5,-35/11) -> (47/13,76/21) Hyperbolic Matrix(331,1052,892,2835) (-35/11,-19/6) -> (23/62,13/35) Hyperbolic Matrix(351,1108,-568,-1793) (-19/6,-3/1) -> (-55/89,-21/34) Hyperbolic Matrix(155,444,96,275) (-3/1,-17/6) -> (29/18,21/13) Hyperbolic Matrix(177,500,40,113) (-17/6,-14/5) -> (22/5,9/2) Hyperbolic Matrix(263,732,60,167) (-14/5,-25/9) -> (13/3,22/5) Hyperbolic Matrix(101,280,224,621) (-25/9,-11/4) -> (9/20,5/11) Hyperbolic Matrix(147,400,104,283) (-11/4,-19/7) -> (7/5,17/12) Hyperbolic Matrix(105,284,-464,-1255) (-19/7,-27/10) -> (-5/22,-7/31) Hyperbolic Matrix(233,628,128,345) (-27/10,-8/3) -> (20/11,11/6) Hyperbolic Matrix(111,292,176,463) (-8/3,-21/8) -> (5/8,12/19) Hyperbolic Matrix(423,1108,-712,-1865) (-21/8,-55/21) -> (-3/5,-19/32) Hyperbolic Matrix(1313,3436,-556,-1455) (-55/21,-34/13) -> (-26/11,-59/25) Hyperbolic Matrix(23,60,156,407) (-34/13,-13/5) -> (1/7,2/13) Hyperbolic Matrix(181,468,432,1117) (-13/5,-31/12) -> (5/12,13/31) Hyperbolic Matrix(45,116,-296,-763) (-31/12,-18/7) -> (-2/13,-3/20) Hyperbolic Matrix(529,1356,300,769) (-18/7,-41/16) -> (7/4,30/17) Hyperbolic Matrix(69,176,256,653) (-23/9,-5/2) -> (7/26,3/11) Hyperbolic Matrix(173,424,224,549) (-5/2,-22/9) -> (10/13,17/22) Hyperbolic Matrix(625,1524,276,673) (-22/9,-39/16) -> (9/4,34/15) Hyperbolic Matrix(103,248,76,183) (-17/7,-12/5) -> (4/3,15/11) Hyperbolic Matrix(79,188,208,495) (-12/5,-19/8) -> (3/8,8/21) Hyperbolic Matrix(1051,2492,892,2115) (-19/8,-64/27) -> (20/17,33/28) Hyperbolic Matrix(1945,4608,1368,3241) (-64/27,-45/19) -> (27/19,64/45) Hyperbolic Matrix(1105,2616,264,625) (-45/19,-71/30) -> (25/6,21/5) Hyperbolic Matrix(1185,2804,2056,4865) (-71/30,-26/11) -> (34/59,15/26) Hyperbolic Matrix(239,564,264,623) (-59/25,-33/14) -> (9/10,1/1) Hyperbolic Matrix(107,252,504,1187) (-33/14,-7/3) -> (7/33,3/14) Hyperbolic Matrix(81,188,28,65) (-7/3,-23/10) -> (17/6,3/1) Hyperbolic Matrix(447,1024,-196,-449) (-23/10,-16/7) -> (-16/7,-41/18) Parabolic Matrix(847,1928,2284,5199) (-41/18,-66/29) -> (10/27,23/62) Hyperbolic Matrix(1693,3852,396,901) (-66/29,-25/11) -> (47/11,30/7) Hyperbolic Matrix(141,320,256,581) (-25/11,-9/4) -> (11/20,5/9) Hyperbolic Matrix(1311,2932,-2068,-4625) (-9/4,-38/17) -> (-26/41,-71/112) Hyperbolic Matrix(1633,3648,2364,5281) (-38/17,-67/30) -> (29/42,38/55) Hyperbolic Matrix(1695,3784,2336,5215) (-67/30,-29/13) -> (37/51,45/62) Hyperbolic Matrix(675,1504,-1144,-2549) (-29/13,-20/9) -> (-36/61,-23/39) Hyperbolic Matrix(119,264,-444,-985) (-20/9,-11/5) -> (-11/41,-4/15) Hyperbolic Matrix(31,68,-212,-465) (-11/5,-24/11) -> (-4/27,-1/7) Hyperbolic Matrix(123,268,-520,-1133) (-24/11,-13/6) -> (-9/38,-4/17) Hyperbolic Matrix(95,204,156,335) (-13/6,-2/1) -> (14/23,11/18) Hyperbolic Matrix(3,4,-4,-5) (-2/1,-1/1) -> (-1/1,-2/3) Parabolic Matrix(521,340,308,201) (-2/3,-13/20) -> (27/16,22/13) Hyperbolic Matrix(413,268,920,597) (-13/20,-11/17) -> (13/29,9/20) Hyperbolic Matrix(409,264,708,457) (-11/17,-9/14) -> (15/26,11/19) Hyperbolic Matrix(299,192,204,131) (-9/14,-16/25) -> (16/11,3/2) Hyperbolic Matrix(1301,832,896,573) (-16/25,-23/36) -> (29/20,16/11) Hyperbolic Matrix(1397,892,296,189) (-23/36,-7/11) -> (33/7,19/4) Hyperbolic Matrix(5417,3436,-8764,-5559) (-33/52,-26/41) -> (-34/55,-89/144) Hyperbolic Matrix(4127,2616,-9240,-5857) (-71/112,-45/71) -> (-21/47,-25/56) Hyperbolic Matrix(985,624,1176,745) (-45/71,-19/30) -> (5/6,21/25) Hyperbolic Matrix(493,312,1272,805) (-19/30,-12/19) -> (12/31,7/18) Hyperbolic Matrix(685,432,972,613) (-12/19,-17/27) -> (19/27,12/17) Hyperbolic Matrix(1265,796,-2236,-1407) (-17/27,-22/35) -> (-30/53,-13/23) Hyperbolic Matrix(191,120,1068,671) (-22/35,-5/8) -> (5/28,2/11) Hyperbolic Matrix(1241,772,1712,1065) (-5/8,-23/37) -> (21/29,29/40) Hyperbolic Matrix(1809,1124,-3140,-1951) (-23/37,-18/29) -> (-34/59,-19/33) Hyperbolic Matrix(187,116,856,531) (-18/29,-13/21) -> (5/23,2/9) Hyperbolic Matrix(97,60,-852,-527) (-13/21,-34/55) -> (-2/17,-1/9) Hyperbolic Matrix(2453,1516,-12820,-7923) (-89/144,-55/89) -> (-9/47,-13/68) Hyperbolic Matrix(661,408,1032,637) (-21/34,-8/13) -> (16/25,9/14) Hyperbolic Matrix(371,228,96,59) (-8/13,-19/31) -> (19/5,4/1) Hyperbolic Matrix(653,400,-1768,-1083) (-19/31,-11/18) -> (-17/46,-7/19) Hyperbolic Matrix(459,280,-1936,-1181) (-11/18,-25/41) -> (-5/21,-9/38) Hyperbolic Matrix(1201,732,-2676,-1631) (-25/41,-14/23) -> (-22/49,-13/29) Hyperbolic Matrix(823,500,-1832,-1113) (-14/23,-17/28) -> (-9/20,-22/49) Hyperbolic Matrix(733,444,-1920,-1163) (-17/28,-3/5) -> (-21/55,-29/76) Hyperbolic Matrix(1417,840,528,313) (-19/32,-16/27) -> (8/3,43/16) Hyperbolic Matrix(1143,676,-1936,-1145) (-16/27,-13/22) -> (-13/22,-36/61) Parabolic Matrix(523,308,-1136,-669) (-23/39,-10/17) -> (-6/13,-17/37) Hyperbolic Matrix(177,104,-788,-463) (-10/17,-17/29) -> (-7/31,-2/9) Hyperbolic Matrix(1045,612,432,253) (-17/29,-7/12) -> (29/12,17/7) Hyperbolic Matrix(949,552,600,349) (-7/12,-18/31) -> (30/19,19/12) Hyperbolic Matrix(517,300,-1632,-947) (-18/31,-29/50) -> (-7/22,-6/19) Hyperbolic Matrix(7195,4172,4972,2883) (-29/50,-69/119) -> (13/9,55/38) Hyperbolic Matrix(683,396,-5652,-3277) (-69/119,-40/69) -> (-4/33,-3/25) Hyperbolic Matrix(769,444,168,97) (-11/19,-15/26) -> (9/2,23/5) Hyperbolic Matrix(3913,2256,2208,1273) (-15/26,-34/59) -> (62/35,39/22) Hyperbolic Matrix(1523,876,1104,635) (-19/33,-4/7) -> (40/29,29/21) Hyperbolic Matrix(917,520,164,93) (-4/7,-17/30) -> (11/2,28/5) Hyperbolic Matrix(4153,2352,1824,1033) (-17/30,-30/53) -> (66/29,41/18) Hyperbolic Matrix(823,464,580,327) (-13/23,-9/16) -> (17/12,27/19) Hyperbolic Matrix(1069,600,408,229) (-9/16,-14/25) -> (34/13,21/8) Hyperbolic Matrix(815,456,84,47) (-14/25,-33/59) -> (9/1,10/1) Hyperbolic Matrix(1717,960,-3840,-2147) (-33/59,-19/34) -> (-17/38,-21/47) Hyperbolic Matrix(79,44,-404,-225) (-19/34,-5/9) -> (-1/5,-5/26) Hyperbolic Matrix(239,132,1128,623) (-5/9,-16/29) -> (4/19,7/33) Hyperbolic Matrix(719,396,1044,575) (-16/29,-11/20) -> (11/16,20/29) Hyperbolic Matrix(161,88,236,129) (-11/20,-6/11) -> (2/3,11/16) Hyperbolic Matrix(547,296,316,171) (-6/11,-7/13) -> (19/11,26/15) Hyperbolic Matrix(387,208,80,43) (-7/13,-8/15) -> (24/5,5/1) Hyperbolic Matrix(227,120,384,203) (-8/15,-1/2) -> (13/22,16/27) Hyperbolic Matrix(335,156,204,95) (-1/2,-6/13) -> (18/11,23/14) Hyperbolic Matrix(201,92,-1064,-487) (-11/24,-5/11) -> (-7/37,-3/16) Hyperbolic Matrix(1115,504,396,179) (-5/11,-14/31) -> (14/5,31/11) Hyperbolic Matrix(2937,1316,520,233) (-13/29,-30/67) -> (62/11,17/3) Hyperbolic Matrix(5281,2364,3648,1633) (-30/67,-17/38) -> (55/38,42/29) Hyperbolic Matrix(521,232,128,57) (-25/56,-4/9) -> (4/1,33/8) Hyperbolic Matrix(581,256,320,141) (-4/9,-11/25) -> (9/5,20/11) Hyperbolic Matrix(447,196,-1024,-449) (-11/25,-7/16) -> (-7/16,-17/39) Parabolic Matrix(955,416,4084,1779) (-17/39,-27/62) -> (7/30,11/47) Hyperbolic Matrix(4465,1944,1656,721) (-27/62,-10/23) -> (62/23,27/10) Hyperbolic Matrix(65,28,188,81) (-10/23,-3/7) -> (1/3,6/17) Hyperbolic Matrix(1187,504,252,107) (-3/7,-14/33) -> (14/3,33/7) Hyperbolic Matrix(1313,556,-3436,-1455) (-14/33,-11/26) -> (-13/34,-34/89) Hyperbolic Matrix(4865,2056,2804,1185) (-11/26,-30/71) -> (26/15,59/34) Hyperbolic Matrix(625,264,2616,1105) (-30/71,-19/45) -> (5/21,6/25) Hyperbolic Matrix(3241,1368,4608,1945) (-19/45,-27/64) -> (45/64,19/27) Hyperbolic Matrix(5415,2284,1496,631) (-27/64,-8/19) -> (76/21,29/8) Hyperbolic Matrix(495,208,188,79) (-8/19,-5/12) -> (21/8,8/3) Hyperbolic Matrix(183,76,248,103) (-5/12,-7/17) -> (11/15,3/4) Hyperbolic Matrix(185,76,-796,-327) (-7/17,-9/22) -> (-7/30,-3/13) Hyperbolic Matrix(549,224,424,173) (-9/22,-2/5) -> (22/17,13/10) Hyperbolic Matrix(653,256,176,69) (-2/5,-9/23) -> (11/3,26/7) Hyperbolic Matrix(297,116,-1124,-439) (-9/23,-7/18) -> (-9/34,-5/19) Hyperbolic Matrix(413,160,-2176,-843) (-19/49,-12/31) -> (-4/21,-7/37) Hyperbolic Matrix(1117,432,468,181) (-12/31,-5/13) -> (31/13,12/5) Hyperbolic Matrix(407,156,60,23) (-5/13,-13/34) -> (13/2,7/1) Hyperbolic Matrix(4891,1868,1516,579) (-34/89,-21/55) -> (29/9,42/13) Hyperbolic Matrix(1279,488,3436,1311) (-29/76,-8/21) -> (16/43,3/8) Hyperbolic Matrix(463,176,292,111) (-8/21,-3/8) -> (19/12,8/5) Hyperbolic Matrix(345,128,628,233) (-3/8,-10/27) -> (6/11,11/20) Hyperbolic Matrix(283,104,400,147) (-7/19,-4/11) -> (12/17,5/7) Hyperbolic Matrix(621,224,280,101) (-4/11,-9/25) -> (11/5,20/9) Hyperbolic Matrix(167,60,732,263) (-9/25,-5/14) -> (5/22,3/13) Hyperbolic Matrix(113,40,500,177) (-5/14,-6/17) -> (2/9,5/22) Hyperbolic Matrix(275,96,444,155) (-6/17,-1/3) -> (13/21,18/29) Hyperbolic Matrix(213,68,-1112,-355) (-1/3,-7/22) -> (-5/26,-9/47) Hyperbolic Matrix(2835,892,1052,331) (-6/19,-11/35) -> (35/13,62/23) Hyperbolic Matrix(1363,428,1156,363) (-11/35,-5/16) -> (33/28,13/11) Hyperbolic Matrix(207,64,-676,-209) (-5/16,-4/13) -> (-4/13,-11/36) Parabolic Matrix(1349,412,776,237) (-11/36,-7/23) -> (33/19,7/4) Hyperbolic Matrix(53,16,308,93) (-7/23,-3/10) -> (1/6,3/17) Hyperbolic Matrix(255,76,104,31) (-3/10,-5/17) -> (17/7,5/2) Hyperbolic Matrix(355,104,256,75) (-5/17,-2/7) -> (18/13,7/5) Hyperbolic Matrix(99,28,152,43) (-2/7,-5/18) -> (9/14,2/3) Hyperbolic Matrix(347,96,300,83) (-5/18,-8/29) -> (8/7,7/6) Hyperbolic Matrix(595,164,2536,699) (-8/29,-19/69) -> (11/47,4/17) Hyperbolic Matrix(2485,684,396,109) (-19/69,-11/40) -> (25/4,19/3) Hyperbolic Matrix(497,136,296,81) (-11/40,-3/11) -> (5/3,27/16) Hyperbolic Matrix(2913,788,4144,1121) (-13/48,-10/37) -> (26/37,45/64) Hyperbolic Matrix(935,252,1332,359) (-10/37,-7/26) -> (7/10,26/37) Hyperbolic Matrix(1281,344,1672,449) (-7/26,-11/41) -> (13/17,23/30) Hyperbolic Matrix(1129,300,636,169) (-4/15,-9/34) -> (39/22,16/9) Hyperbolic Matrix(489,128,340,89) (-5/19,-1/4) -> (23/16,13/9) Hyperbolic Matrix(615,148,428,103) (-1/4,-5/21) -> (33/23,23/16) Hyperbolic Matrix(1177,276,516,121) (-4/17,-7/30) -> (41/18,16/7) Hyperbolic Matrix(419,96,48,11) (-3/13,-8/35) -> (8/1,9/1) Hyperbolic Matrix(701,160,92,21) (-8/35,-5/22) -> (15/2,8/1) Hyperbolic Matrix(91,20,232,51) (-2/9,-3/14) -> (7/18,2/5) Hyperbolic Matrix(1187,252,504,107) (-3/14,-7/33) -> (7/3,33/14) Hyperbolic Matrix(227,48,960,203) (-7/33,-4/19) -> (4/17,5/21) Hyperbolic Matrix(137,28,44,9) (-4/19,-1/5) -> (3/1,16/5) Hyperbolic Matrix(4897,936,1512,289) (-13/68,-4/21) -> (68/21,13/4) Hyperbolic Matrix(87,16,-484,-89) (-3/16,-2/11) -> (-2/11,-5/28) Parabolic Matrix(1663,296,1972,351) (-5/28,-8/45) -> (16/19,27/32) Hyperbolic Matrix(1399,248,220,39) (-8/45,-3/17) -> (19/3,32/5) Hyperbolic Matrix(347,60,480,83) (-3/17,-1/6) -> (13/18,21/29) Hyperbolic Matrix(383,60,300,47) (-1/6,-2/13) -> (14/11,23/18) Hyperbolic Matrix(125,16,164,21) (-1/7,-1/8) -> (3/4,13/17) Hyperbolic Matrix(1273,156,204,25) (-1/8,-4/33) -> (56/9,25/4) Hyperbolic Matrix(1103,132,1596,191) (-3/25,-2/17) -> (38/55,9/13) Hyperbolic Matrix(677,64,476,45) (-1/10,0/1) -> (64/45,37/26) Hyperbolic Matrix(165,-16,196,-19) (0/1,1/9) -> (21/25,16/19) Hyperbolic Matrix(443,-60,96,-13) (1/8,1/7) -> (23/5,37/8) Hyperbolic Matrix(1619,-252,2088,-325) (2/13,5/32) -> (31/40,38/49) Hyperbolic Matrix(1921,-312,1176,-191) (4/25,1/6) -> (49/30,116/71) Hyperbolic Matrix(1529,-272,2108,-375) (3/17,5/28) -> (29/40,37/51) Hyperbolic Matrix(303,-56,92,-17) (2/11,1/5) -> (23/7,10/3) Hyperbolic Matrix(267,-56,596,-125) (1/5,4/19) -> (4/9,13/29) Hyperbolic Matrix(443,-96,60,-13) (3/14,5/23) -> (7/1,15/2) Hyperbolic Matrix(1549,-360,1080,-251) (3/13,7/30) -> (43/30,33/23) Hyperbolic Matrix(2845,-684,1044,-251) (6/25,1/4) -> (109/40,30/11) Hyperbolic Matrix(483,-128,200,-53) (1/4,4/15) -> (12/5,29/12) Hyperbolic Matrix(879,-236,1136,-305) (4/15,7/26) -> (17/22,24/31) Hyperbolic Matrix(57,-16,196,-55) (3/11,2/7) -> (2/7,5/17) Parabolic Matrix(1585,-468,972,-287) (5/17,8/27) -> (44/27,31/19) Hyperbolic Matrix(389,-116,332,-99) (8/27,3/10) -> (7/6,20/17) Hyperbolic Matrix(303,-92,56,-17) (3/10,4/13) -> (16/3,11/2) Hyperbolic Matrix(219,-68,248,-77) (4/13,5/16) -> (7/8,8/9) Hyperbolic Matrix(531,-188,692,-245) (6/17,5/14) -> (23/30,10/13) Hyperbolic Matrix(343,-124,556,-201) (5/14,4/11) -> (8/13,21/34) Hyperbolic Matrix(1213,-444,948,-347) (4/11,11/30) -> (23/18,32/25) Hyperbolic Matrix(1501,-552,552,-203) (11/30,7/19) -> (19/7,49/18) Hyperbolic Matrix(1657,-612,972,-359) (7/19,10/27) -> (46/27,29/17) Hyperbolic Matrix(2807,-1044,4068,-1513) (13/35,16/43) -> (20/29,49/71) Hyperbolic Matrix(261,-100,676,-259) (8/21,5/13) -> (5/13,12/31) Parabolic Matrix(483,-200,128,-53) (7/17,5/12) -> (15/4,19/5) Hyperbolic Matrix(963,-404,584,-245) (13/31,8/19) -> (28/17,5/3) Hyperbolic Matrix(1165,-492,708,-299) (8/19,11/26) -> (23/14,28/17) Hyperbolic Matrix(1821,-772,2932,-1243) (11/26,14/33) -> (18/29,41/66) Hyperbolic Matrix(175,-76,76,-33) (3/7,4/9) -> (16/7,7/3) Hyperbolic Matrix(25,-12,48,-23) (5/11,1/2) -> (1/2,7/13) Parabolic Matrix(2033,-1100,560,-303) (7/13,13/24) -> (29/8,69/19) Hyperbolic Matrix(2405,-1304,3104,-1683) (13/24,19/35) -> (55/71,31/40) Hyperbolic Matrix(933,-508,652,-355) (19/35,6/11) -> (10/7,53/37) Hyperbolic Matrix(207,-116,116,-65) (5/9,4/7) -> (16/9,9/5) Hyperbolic Matrix(1667,-960,2148,-1237) (19/33,34/59) -> (38/49,7/9) Hyperbolic Matrix(523,-304,160,-93) (11/19,7/12) -> (13/4,23/7) Hyperbolic Matrix(499,-292,364,-213) (7/12,10/17) -> (26/19,11/8) Hyperbolic Matrix(1471,-868,544,-321) (10/17,13/22) -> (27/10,46/17) Hyperbolic Matrix(963,-584,404,-245) (3/5,14/23) -> (50/21,31/13) Hyperbolic Matrix(2077,-1272,1272,-779) (11/18,19/31) -> (31/19,49/30) Hyperbolic Matrix(1383,-848,380,-233) (19/31,8/13) -> (40/11,11/3) Hyperbolic Matrix(1669,-1032,600,-371) (21/34,13/21) -> (25/9,39/14) Hyperbolic Matrix(4307,-2676,6240,-3877) (41/66,23/37) -> (49/71,29/42) Hyperbolic Matrix(1087,-676,1288,-801) (23/37,5/8) -> (27/32,11/13) Hyperbolic Matrix(309,-196,484,-307) (12/19,7/11) -> (7/11,16/25) Parabolic Matrix(1549,-1080,360,-251) (23/33,7/10) -> (43/10,13/3) Hyperbolic Matrix(6425,-4664,4484,-3255) (45/62,8/11) -> (96/67,43/30) Hyperbolic Matrix(499,-364,292,-213) (8/11,11/15) -> (29/17,12/7) Hyperbolic Matrix(8459,-6552,5904,-4573) (24/31,55/71) -> (53/37,96/67) Hyperbolic Matrix(81,-64,100,-79) (7/9,4/5) -> (4/5,9/11) Parabolic Matrix(1027,-844,376,-309) (9/11,14/17) -> (30/11,41/15) Hyperbolic Matrix(563,-480,156,-133) (11/13,6/7) -> (18/5,47/13) Hyperbolic Matrix(1271,-1140,456,-409) (8/9,9/10) -> (39/14,92/33) Hyperbolic Matrix(219,-248,68,-77) (1/1,8/7) -> (16/5,29/9) Hyperbolic Matrix(1087,-1288,676,-801) (13/11,19/16) -> (45/28,37/23) Hyperbolic Matrix(165,-196,16,-19) (19/16,6/5) -> (10/1,1/0) Hyperbolic Matrix(81,-100,64,-79) (6/5,5/4) -> (5/4,14/11) Parabolic Matrix(2005,-2568,552,-707) (32/25,9/7) -> (69/19,40/11) Hyperbolic Matrix(879,-1136,236,-305) (9/7,22/17) -> (26/7,41/11) Hyperbolic Matrix(531,-692,188,-245) (13/10,17/13) -> (31/11,17/6) Hyperbolic Matrix(867,-1184,320,-437) (15/11,26/19) -> (46/17,19/7) Hyperbolic Matrix(1529,-2108,272,-375) (11/8,40/29) -> (28/5,45/8) Hyperbolic Matrix(2807,-4068,1044,-1513) (42/29,29/20) -> (43/16,78/29) Hyperbolic Matrix(309,-484,196,-307) (14/9,11/7) -> (11/7,30/19) Parabolic Matrix(1821,-2932,772,-1243) (37/23,29/18) -> (33/14,59/25) Hyperbolic Matrix(343,-556,124,-201) (21/13,13/8) -> (11/4,25/9) Hyperbolic Matrix(713,-1160,260,-423) (13/8,44/27) -> (52/19,11/4) Hyperbolic Matrix(4497,-7348,724,-1183) (116/71,67/41) -> (31/5,56/9) Hyperbolic Matrix(587,-960,96,-157) (67/41,18/11) -> (6/1,31/5) Hyperbolic Matrix(681,-1156,400,-679) (22/13,17/10) -> (17/10,46/27) Parabolic Matrix(211,-364,40,-69) (12/7,19/11) -> (5/1,16/3) Hyperbolic Matrix(1777,-3084,276,-479) (59/34,33/19) -> (45/7,13/2) Hyperbolic Matrix(1197,-2116,676,-1195) (30/17,23/13) -> (23/13,62/35) Parabolic Matrix(25,-48,12,-23) (11/6,2/1) -> (2/1,13/6) Parabolic Matrix(1169,-2540,272,-591) (13/6,37/17) -> (73/17,43/10) Hyperbolic Matrix(1733,-3776,464,-1011) (37/17,24/11) -> (56/15,71/19) Hyperbolic Matrix(711,-1556,260,-569) (24/11,11/5) -> (41/15,52/19) Hyperbolic Matrix(267,-596,56,-125) (20/9,9/4) -> (19/4,24/5) Hyperbolic Matrix(1101,-2500,484,-1099) (34/15,25/11) -> (25/11,66/29) Parabolic Matrix(2335,-5512,868,-2049) (59/25,26/11) -> (78/29,35/13) Hyperbolic Matrix(609,-1444,256,-607) (26/11,19/8) -> (19/8,50/21) Parabolic Matrix(261,-676,100,-259) (18/7,13/5) -> (13/5,34/13) Parabolic Matrix(1247,-3396,300,-817) (49/18,79/29) -> (29/7,25/6) Hyperbolic Matrix(2117,-5768,512,-1395) (79/29,109/40) -> (33/8,29/7) Hyperbolic Matrix(3107,-8664,960,-2677) (92/33,53/19) -> (55/17,68/21) Hyperbolic Matrix(1073,-2996,332,-927) (53/19,14/5) -> (42/13,55/17) Hyperbolic Matrix(57,-196,16,-55) (10/3,7/2) -> (7/2,18/5) Parabolic Matrix(1027,-3832,160,-597) (41/11,56/15) -> (32/5,45/7) Hyperbolic Matrix(1283,-4800,228,-853) (71/19,15/4) -> (45/8,107/19) Hyperbolic Matrix(1803,-7736,320,-1373) (30/7,73/17) -> (107/19,62/11) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(13,120,-48,-443) -> Matrix(3,2,4,3) Matrix(51,448,-88,-773) -> Matrix(1,0,4,1) Matrix(21,164,16,125) -> Matrix(1,0,2,1) Matrix(45,296,-116,-763) -> Matrix(1,2,0,1) Matrix(33,212,40,257) -> Matrix(3,4,2,3) Matrix(83,480,60,347) -> Matrix(1,-2,2,-3) Matrix(87,484,-16,-89) -> Matrix(1,-6,0,1) Matrix(49,264,312,1681) -> Matrix(1,4,0,1) Matrix(199,1064,124,663) -> Matrix(1,2,2,5) Matrix(25,132,-168,-887) -> Matrix(1,2,2,5) Matrix(61,312,-96,-491) -> Matrix(1,2,4,9) Matrix(9,44,28,137) -> Matrix(1,2,0,1) Matrix(203,960,48,227) -> Matrix(1,0,2,1) Matrix(107,504,252,1187) -> Matrix(1,-2,0,1) Matrix(51,232,20,91) -> Matrix(1,4,0,1) Matrix(105,464,-284,-1255) -> Matrix(1,0,2,1) Matrix(297,1304,64,281) -> Matrix(1,4,0,1) Matrix(11,48,96,419) -> Matrix(1,2,-2,-3) Matrix(185,796,-76,-327) -> Matrix(3,4,2,3) Matrix(123,520,-268,-1133) -> Matrix(1,2,0,1) Matrix(103,428,148,615) -> Matrix(1,2,0,1) Matrix(89,340,128,489) -> Matrix(3,2,4,3) Matrix(297,1124,-116,-439) -> Matrix(1,0,-2,1) Matrix(119,444,-264,-985) -> Matrix(7,4,12,7) Matrix(359,1332,252,935) -> Matrix(1,0,2,1) Matrix(13,48,-120,-443) -> Matrix(3,2,4,3) Matrix(81,296,136,497) -> Matrix(3,2,4,3) Matrix(109,396,684,2485) -> Matrix(1,0,0,1) Matrix(699,2536,164,595) -> Matrix(1,0,2,1) Matrix(83,300,96,347) -> Matrix(1,0,2,1) Matrix(43,152,28,99) -> Matrix(1,0,4,1) Matrix(75,256,104,355) -> Matrix(1,0,2,1) Matrix(31,104,76,255) -> Matrix(1,0,2,1) Matrix(93,308,16,53) -> Matrix(1,0,2,1) Matrix(207,676,-64,-209) -> Matrix(1,0,6,1) Matrix(131,420,228,731) -> Matrix(3,-2,8,-5) Matrix(1071,3412,296,943) -> Matrix(1,-2,0,1) Matrix(331,1052,892,2835) -> Matrix(3,-2,2,-1) Matrix(351,1108,-568,-1793) -> Matrix(1,2,2,5) Matrix(155,444,96,275) -> Matrix(1,0,2,1) Matrix(177,500,40,113) -> Matrix(3,4,2,3) Matrix(263,732,60,167) -> Matrix(5,4,6,5) Matrix(101,280,224,621) -> Matrix(3,2,-2,-1) Matrix(147,400,104,283) -> Matrix(1,0,2,1) Matrix(105,284,-464,-1255) -> Matrix(1,0,2,1) Matrix(233,628,128,345) -> Matrix(3,2,4,3) Matrix(111,292,176,463) -> Matrix(9,4,20,9) Matrix(423,1108,-712,-1865) -> Matrix(1,0,6,1) Matrix(1313,3436,-556,-1455) -> Matrix(1,0,2,1) Matrix(23,60,156,407) -> Matrix(1,0,4,1) Matrix(181,468,432,1117) -> Matrix(9,4,2,1) Matrix(45,116,-296,-763) -> Matrix(5,2,12,5) Matrix(529,1356,300,769) -> Matrix(19,6,22,7) Matrix(69,176,256,653) -> Matrix(7,2,10,3) Matrix(173,424,224,549) -> Matrix(1,-2,2,-3) Matrix(625,1524,276,673) -> Matrix(1,-2,2,-3) Matrix(103,248,76,183) -> Matrix(1,0,2,1) Matrix(79,188,208,495) -> Matrix(1,4,0,1) Matrix(1051,2492,892,2115) -> Matrix(1,2,-2,-3) Matrix(1945,4608,1368,3241) -> Matrix(1,2,0,1) Matrix(1105,2616,264,625) -> Matrix(1,2,2,5) Matrix(1185,2804,2056,4865) -> Matrix(3,4,8,11) Matrix(239,564,264,623) -> Matrix(1,2,0,1) Matrix(107,252,504,1187) -> Matrix(1,0,2,1) Matrix(81,188,28,65) -> Matrix(1,2,0,1) Matrix(447,1024,-196,-449) -> Matrix(3,4,-4,-5) Matrix(847,1928,2284,5199) -> Matrix(1,0,2,1) Matrix(1693,3852,396,901) -> Matrix(3,2,4,3) Matrix(141,320,256,581) -> Matrix(3,2,10,7) Matrix(1311,2932,-2068,-4625) -> Matrix(1,0,4,1) Matrix(1633,3648,2364,5281) -> Matrix(1,0,0,1) Matrix(1695,3784,2336,5215) -> Matrix(1,4,2,9) Matrix(675,1504,-1144,-2549) -> Matrix(5,6,14,17) Matrix(119,264,-444,-985) -> Matrix(3,2,4,3) Matrix(31,68,-212,-465) -> Matrix(1,0,4,1) Matrix(123,268,-520,-1133) -> Matrix(1,0,4,1) Matrix(95,204,156,335) -> Matrix(1,0,4,1) Matrix(3,4,-4,-5) -> Matrix(1,0,4,1) Matrix(521,340,308,201) -> Matrix(5,-2,8,-3) Matrix(413,268,920,597) -> Matrix(1,0,-4,1) Matrix(409,264,708,457) -> Matrix(3,-2,8,-5) Matrix(299,192,204,131) -> Matrix(1,0,0,1) Matrix(1301,832,896,573) -> Matrix(1,0,-12,1) Matrix(1397,892,296,189) -> Matrix(11,-2,6,-1) Matrix(5417,3436,-8764,-5559) -> Matrix(7,-2,18,-5) Matrix(4127,2616,-9240,-5857) -> Matrix(9,-2,14,-3) Matrix(985,624,1176,745) -> Matrix(11,-2,6,-1) Matrix(493,312,1272,805) -> Matrix(17,-4,-4,1) Matrix(685,432,972,613) -> Matrix(1,0,-2,1) Matrix(1265,796,-2236,-1407) -> Matrix(7,-2,18,-5) Matrix(191,120,1068,671) -> Matrix(1,0,0,1) Matrix(1241,772,1712,1065) -> Matrix(1,0,0,1) Matrix(1809,1124,-3140,-1951) -> Matrix(7,-2,18,-5) Matrix(187,116,856,531) -> Matrix(5,-2,8,-3) Matrix(97,60,-852,-527) -> Matrix(5,-2,8,-3) Matrix(2453,1516,-12820,-7923) -> Matrix(5,-2,-2,1) Matrix(661,408,1032,637) -> Matrix(17,-8,32,-15) Matrix(371,228,96,59) -> Matrix(1,0,-2,1) Matrix(653,400,-1768,-1083) -> Matrix(1,-2,2,-3) Matrix(459,280,-1936,-1181) -> Matrix(1,0,2,1) Matrix(1201,732,-2676,-1631) -> Matrix(7,2,10,3) Matrix(823,500,-1832,-1113) -> Matrix(17,-2,26,-3) Matrix(733,444,-1920,-1163) -> Matrix(1,0,-2,1) Matrix(1417,840,528,313) -> Matrix(13,-4,10,-3) Matrix(1143,676,-1936,-1145) -> Matrix(31,-10,90,-29) Matrix(523,308,-1136,-669) -> Matrix(11,-4,14,-5) Matrix(177,104,-788,-463) -> Matrix(1,0,-2,1) Matrix(1045,612,432,253) -> Matrix(1,0,-2,1) Matrix(949,552,600,349) -> Matrix(9,-4,16,-7) Matrix(517,300,-1632,-947) -> Matrix(1,0,-2,1) Matrix(7195,4172,4972,2883) -> Matrix(1,0,-6,1) Matrix(683,396,-5652,-3277) -> Matrix(1,0,0,1) Matrix(769,444,168,97) -> Matrix(7,-2,4,-1) Matrix(3913,2256,2208,1273) -> Matrix(25,-8,22,-7) Matrix(1523,876,1104,635) -> Matrix(5,-2,8,-3) Matrix(917,520,164,93) -> Matrix(1,0,-4,1) Matrix(4153,2352,1824,1033) -> Matrix(31,-10,28,-9) Matrix(823,464,580,327) -> Matrix(1,0,-2,1) Matrix(1069,600,408,229) -> Matrix(5,-2,-2,1) Matrix(815,456,84,47) -> Matrix(3,-2,2,-1) Matrix(1717,960,-3840,-2147) -> Matrix(1,-2,2,-3) Matrix(79,44,-404,-225) -> Matrix(1,0,-4,1) Matrix(239,132,1128,623) -> Matrix(1,0,-2,1) Matrix(719,396,1044,575) -> Matrix(13,-4,10,-3) Matrix(161,88,236,129) -> Matrix(11,-4,14,-5) Matrix(547,296,316,171) -> Matrix(9,-4,16,-7) Matrix(387,208,80,43) -> Matrix(3,-2,2,-1) Matrix(227,120,384,203) -> Matrix(9,-4,16,-7) Matrix(335,156,204,95) -> Matrix(3,-2,8,-5) Matrix(201,92,-1064,-487) -> Matrix(1,0,-4,1) Matrix(1115,504,396,179) -> Matrix(7,-4,2,-1) Matrix(2937,1316,520,233) -> Matrix(3,-2,-4,3) Matrix(5281,2364,3648,1633) -> Matrix(3,-2,-4,3) Matrix(521,232,128,57) -> Matrix(3,-2,-4,3) Matrix(581,256,320,141) -> Matrix(3,-2,2,-1) Matrix(447,196,-1024,-449) -> Matrix(9,-8,8,-7) Matrix(955,416,4084,1779) -> Matrix(3,-4,-2,3) Matrix(4465,1944,1656,721) -> Matrix(5,-8,2,-3) Matrix(65,28,188,81) -> Matrix(1,0,0,1) Matrix(1187,504,252,107) -> Matrix(3,-2,2,-1) Matrix(1313,556,-3436,-1455) -> Matrix(1,0,2,1) Matrix(4865,2056,2804,1185) -> Matrix(9,-2,14,-3) Matrix(625,264,2616,1105) -> Matrix(1,0,-4,1) Matrix(3241,1368,4608,1945) -> Matrix(1,0,-2,1) Matrix(5415,2284,1496,631) -> Matrix(5,-2,-2,1) Matrix(495,208,188,79) -> Matrix(1,0,-2,1) Matrix(183,76,248,103) -> Matrix(1,0,0,1) Matrix(185,76,-796,-327) -> Matrix(3,-2,2,-1) Matrix(549,224,424,173) -> Matrix(1,0,2,1) Matrix(653,256,176,69) -> Matrix(1,0,-2,1) Matrix(297,116,-1124,-439) -> Matrix(3,-2,2,-1) Matrix(413,160,-2176,-843) -> Matrix(1,0,-2,1) Matrix(1117,432,468,181) -> Matrix(1,2,0,1) Matrix(407,156,60,23) -> Matrix(1,0,0,1) Matrix(4891,1868,1516,579) -> Matrix(3,-2,2,-1) Matrix(1279,488,3436,1311) -> Matrix(7,-2,4,-1) Matrix(463,176,292,111) -> Matrix(5,-2,8,-3) Matrix(345,128,628,233) -> Matrix(1,0,2,1) Matrix(283,104,400,147) -> Matrix(1,0,0,1) Matrix(621,224,280,101) -> Matrix(7,-6,6,-5) Matrix(167,60,732,263) -> Matrix(7,-6,6,-5) Matrix(113,40,500,177) -> Matrix(3,-4,4,-5) Matrix(275,96,444,155) -> Matrix(1,0,2,1) Matrix(213,68,-1112,-355) -> Matrix(1,0,0,1) Matrix(2835,892,1052,331) -> Matrix(5,2,2,1) Matrix(1363,428,1156,363) -> Matrix(1,0,0,1) Matrix(207,64,-676,-209) -> Matrix(1,0,12,1) Matrix(1349,412,776,237) -> Matrix(17,-2,26,-3) Matrix(53,16,308,93) -> Matrix(1,0,-2,1) Matrix(255,76,104,31) -> Matrix(7,-2,4,-1) Matrix(355,104,256,75) -> Matrix(5,-2,8,-3) Matrix(99,28,152,43) -> Matrix(5,-2,8,-3) Matrix(347,96,300,83) -> Matrix(3,-2,2,-1) Matrix(595,164,2536,699) -> Matrix(3,-2,2,-1) Matrix(2485,684,396,109) -> Matrix(3,-2,8,-5) Matrix(497,136,296,81) -> Matrix(1,0,0,1) Matrix(2913,788,4144,1121) -> Matrix(5,-4,4,-3) Matrix(935,252,1332,359) -> Matrix(1,0,0,1) Matrix(1281,344,1672,449) -> Matrix(1,-2,2,-3) Matrix(1129,300,636,169) -> Matrix(5,-4,4,-3) Matrix(489,128,340,89) -> Matrix(1,0,-2,1) Matrix(615,148,428,103) -> Matrix(1,-2,0,1) Matrix(1177,276,516,121) -> Matrix(7,-6,6,-5) Matrix(419,96,48,11) -> Matrix(3,-2,2,-1) Matrix(701,160,92,21) -> Matrix(1,-2,2,-3) Matrix(91,20,232,51) -> Matrix(1,-2,0,1) Matrix(1187,252,504,107) -> Matrix(3,-2,2,-1) Matrix(227,48,960,203) -> Matrix(1,0,0,1) Matrix(137,28,44,9) -> Matrix(1,2,0,1) Matrix(4897,936,1512,289) -> Matrix(1,4,0,1) Matrix(87,16,-484,-89) -> Matrix(1,0,12,1) Matrix(1663,296,1972,351) -> Matrix(15,-2,8,-1) Matrix(1399,248,220,39) -> Matrix(1,0,-6,1) Matrix(347,60,480,83) -> Matrix(1,0,-2,1) Matrix(383,60,300,47) -> Matrix(1,0,2,1) Matrix(125,16,164,21) -> Matrix(1,-2,2,-3) Matrix(1273,156,204,25) -> Matrix(1,0,4,1) Matrix(1103,132,1596,191) -> Matrix(1,0,-2,1) Matrix(677,64,476,45) -> Matrix(1,0,0,1) Matrix(165,-16,196,-19) -> Matrix(3,-2,2,-1) Matrix(443,-60,96,-13) -> Matrix(7,-2,4,-1) Matrix(1619,-252,2088,-325) -> Matrix(3,-10,4,-13) Matrix(1921,-312,1176,-191) -> Matrix(1,0,-4,1) Matrix(1529,-272,2108,-375) -> Matrix(7,-2,18,-5) Matrix(303,-56,92,-17) -> Matrix(3,-2,2,-1) Matrix(267,-56,596,-125) -> Matrix(3,-2,-4,3) Matrix(443,-96,60,-13) -> Matrix(1,0,0,1) Matrix(1549,-360,1080,-251) -> Matrix(1,-4,0,1) Matrix(2845,-684,1044,-251) -> Matrix(1,0,4,1) Matrix(483,-128,200,-53) -> Matrix(3,-2,2,-1) Matrix(879,-236,1136,-305) -> Matrix(13,-8,18,-11) Matrix(57,-16,196,-55) -> Matrix(5,-4,4,-3) Matrix(1585,-468,972,-287) -> Matrix(1,-2,2,-3) Matrix(389,-116,332,-99) -> Matrix(1,-2,0,1) Matrix(303,-92,56,-17) -> Matrix(1,-2,0,1) Matrix(219,-68,248,-77) -> Matrix(1,0,0,1) Matrix(531,-188,692,-245) -> Matrix(3,-4,4,-5) Matrix(343,-124,556,-201) -> Matrix(1,0,2,1) Matrix(1213,-444,948,-347) -> Matrix(1,-2,6,-11) Matrix(1501,-552,552,-203) -> Matrix(1,-2,0,1) Matrix(1657,-612,972,-359) -> Matrix(1,-2,2,-3) Matrix(2807,-1044,4068,-1513) -> Matrix(1,0,0,1) Matrix(261,-100,676,-259) -> Matrix(1,-10,0,1) Matrix(483,-200,128,-53) -> Matrix(1,-2,0,1) Matrix(963,-404,584,-245) -> Matrix(1,-6,2,-11) Matrix(1165,-492,708,-299) -> Matrix(1,6,2,13) Matrix(1821,-772,2932,-1243) -> Matrix(3,10,8,27) Matrix(175,-76,76,-33) -> Matrix(3,4,2,3) Matrix(25,-12,48,-23) -> Matrix(1,0,6,1) Matrix(2033,-1100,560,-303) -> Matrix(25,-6,-4,1) Matrix(2405,-1304,3104,-1683) -> Matrix(115,-28,152,-37) Matrix(933,-508,652,-355) -> Matrix(15,-4,4,-1) Matrix(207,-116,116,-65) -> Matrix(1,0,-2,1) Matrix(1667,-960,2148,-1237) -> Matrix(23,-10,30,-13) Matrix(523,-304,160,-93) -> Matrix(1,0,-2,1) Matrix(499,-292,364,-213) -> Matrix(9,-4,16,-7) Matrix(1471,-868,544,-321) -> Matrix(11,-6,2,-1) Matrix(963,-584,404,-245) -> Matrix(1,2,0,1) Matrix(2077,-1272,1272,-779) -> Matrix(1,0,-4,1) Matrix(1383,-848,380,-233) -> Matrix(9,-2,-4,1) Matrix(1669,-1032,600,-371) -> Matrix(1,0,-2,1) Matrix(4307,-2676,6240,-3877) -> Matrix(21,-8,8,-3) Matrix(1087,-676,1288,-801) -> Matrix(1,0,-2,1) Matrix(309,-196,484,-307) -> Matrix(29,-14,56,-27) Matrix(1549,-1080,360,-251) -> Matrix(1,0,0,1) Matrix(6425,-4664,4484,-3255) -> Matrix(25,-12,-2,1) Matrix(499,-364,292,-213) -> Matrix(1,0,0,1) Matrix(8459,-6552,5904,-4573) -> Matrix(67,-50,-4,3) Matrix(81,-64,100,-79) -> Matrix(9,-8,8,-7) Matrix(1027,-844,376,-309) -> Matrix(3,-4,4,-5) Matrix(563,-480,156,-133) -> Matrix(1,-4,0,1) Matrix(1271,-1140,456,-409) -> Matrix(1,0,0,1) Matrix(219,-248,68,-77) -> Matrix(1,2,0,1) Matrix(1087,-1288,676,-801) -> Matrix(1,-2,2,-3) Matrix(165,-196,16,-19) -> Matrix(1,2,0,1) Matrix(81,-100,64,-79) -> Matrix(1,0,6,1) Matrix(2005,-2568,552,-707) -> Matrix(17,-4,-4,1) Matrix(879,-1136,236,-305) -> Matrix(1,0,-4,1) Matrix(531,-692,188,-245) -> Matrix(1,0,-2,1) Matrix(867,-1184,320,-437) -> Matrix(5,-2,-2,1) Matrix(1529,-2108,272,-375) -> Matrix(3,-2,-4,3) Matrix(2807,-4068,1044,-1513) -> Matrix(5,2,2,1) Matrix(309,-484,196,-307) -> Matrix(13,-6,24,-11) Matrix(1821,-2932,772,-1243) -> Matrix(17,-12,10,-7) Matrix(343,-556,124,-201) -> Matrix(3,-2,2,-1) Matrix(713,-1160,260,-423) -> Matrix(1,0,0,1) Matrix(4497,-7348,724,-1183) -> Matrix(1,0,16,1) Matrix(587,-960,96,-157) -> Matrix(1,0,-4,1) Matrix(681,-1156,400,-679) -> Matrix(3,-2,2,-1) Matrix(211,-364,40,-69) -> Matrix(1,0,-2,1) Matrix(1777,-3084,276,-479) -> Matrix(3,-2,2,-1) Matrix(1197,-2116,676,-1195) -> Matrix(21,-20,20,-19) Matrix(25,-48,12,-23) -> Matrix(5,-4,4,-3) Matrix(1169,-2540,272,-591) -> Matrix(3,-4,4,-5) Matrix(1733,-3776,464,-1011) -> Matrix(1,-2,2,-3) Matrix(711,-1556,260,-569) -> Matrix(1,-2,2,-3) Matrix(267,-596,56,-125) -> Matrix(5,-8,2,-3) Matrix(1101,-2500,484,-1099) -> Matrix(17,-16,16,-15) Matrix(2335,-5512,868,-2049) -> Matrix(5,-8,2,-3) Matrix(609,-1444,256,-607) -> Matrix(13,-24,6,-11) Matrix(261,-676,100,-259) -> Matrix(1,-6,0,1) Matrix(1247,-3396,300,-817) -> Matrix(1,0,6,1) Matrix(2117,-5768,512,-1395) -> Matrix(1,0,-10,1) Matrix(3107,-8664,960,-2677) -> Matrix(7,-4,2,-1) Matrix(1073,-2996,332,-927) -> Matrix(5,-8,2,-3) Matrix(57,-196,16,-55) -> Matrix(1,-6,0,1) Matrix(1027,-3832,160,-597) -> Matrix(1,0,0,1) Matrix(1283,-4800,228,-853) -> Matrix(1,0,-2,1) Matrix(1803,-7736,320,-1373) -> Matrix(1,0,-4,1) 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): 72 Degree of the the map X: 72 Degree of the the map Y: 288 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.