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 -16/3 -5/1 -14/3 -9/2 -13/3 -4/1 -15/4 -11/3 -3/1 -27/10 -12/5 -9/4 -24/11 -2/1 -9/5 -27/17 -3/2 -15/11 -9/7 -21/17 -6/5 -9/8 -1/1 -9/11 -3/4 -9/13 -9/14 -3/5 -15/26 -9/16 0/1 1/2 9/16 3/5 9/14 9/13 3/4 9/11 1/1 9/8 6/5 5/4 9/7 15/11 18/13 3/2 54/35 27/17 18/11 7/4 9/5 2/1 24/11 9/4 12/5 5/2 18/7 27/10 11/4 36/13 17/6 3/1 54/17 13/4 36/11 10/3 7/2 18/5 11/3 108/29 15/4 4/1 21/5 72/17 17/4 13/3 9/2 14/3 5/1 16/3 11/2 17/3 6/1 13/2 7/1 36/5 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 1/0 -8/1 -5/1 -7/1 -3/1 -1/1 -13/2 -2/1 -6/1 -3/1 -1/1 -23/4 1/0 -17/3 -3/1 -1/1 -11/2 -2/1 -16/3 -1/1 -37/7 -1/1 -3/5 -21/4 1/0 -5/1 -1/1 1/1 -19/4 1/2 -14/3 2/1 1/0 -9/2 1/0 -22/5 -8/1 1/0 -35/8 1/0 -13/3 -7/1 -5/1 -17/4 1/0 -4/1 -3/1 -19/5 -3/1 -1/1 -15/4 1/0 -41/11 -5/1 -3/1 -26/7 -5/2 -2/1 -37/10 -2/1 -48/13 -1/1 -11/3 -3/1 -1/1 -18/5 -3/1 -1/1 -7/2 -2/1 -17/5 -3/1 -1/1 -27/8 -2/1 -37/11 -5/3 -1/1 -10/3 -2/1 1/0 -13/4 1/0 -16/5 -1/1 -3/1 1/0 -20/7 -3/1 -37/13 -29/9 -3/1 -54/19 -3/1 -17/6 -8/3 -14/5 -2/1 1/0 -11/4 1/0 -30/11 -3/1 -1/1 -19/7 -3/1 -1/1 -27/10 1/0 -35/13 -3/1 -1/1 -8/3 -3/1 -29/11 -5/3 -1/1 -50/19 -2/1 1/0 -21/8 1/0 -55/21 -3/1 -1/1 -34/13 -2/1 1/0 -13/5 -3/1 -1/1 -18/7 -3/1 -1/1 -5/2 -2/1 -22/9 -2/1 1/0 -17/7 -3/1 -1/1 -12/5 -3/1 -1/1 -19/8 -5/2 -7/3 -3/1 -1/1 -23/10 -2/1 -16/7 -1/1 -9/4 1/0 -20/9 -3/1 -11/5 -3/1 -1/1 -35/16 1/0 -24/11 -3/1 -13/6 -2/1 -2/1 -2/1 1/0 -13/7 -3/1 -1/1 -37/20 1/0 -24/13 -3/1 -35/19 -3/1 -7/3 -11/6 -2/1 -9/5 -2/1 -25/14 -2/1 -16/9 -1/1 -23/13 -3/1 -1/1 -7/4 1/0 -19/11 -3/1 -1/1 -12/7 -3/1 -1/1 -17/10 -4/1 -22/13 -5/2 -2/1 -5/3 -3/1 -1/1 -18/11 -3/1 -1/1 -13/8 1/0 -34/21 -2/1 1/0 -21/13 1/0 -71/44 1/0 -50/31 -4/1 1/0 -79/49 -11/3 -3/1 -108/67 -3/1 -29/18 -2/1 -8/5 -3/1 -35/22 -2/1 -27/17 -2/1 -19/12 -3/2 -30/19 -1/1 -11/7 -3/1 -1/1 -36/23 -3/1 -1/1 -25/16 1/0 -14/9 -2/1 1/0 -17/11 -3/1 -1/1 -3/2 -2/1 -19/13 -5/3 -1/1 -54/37 -5/3 -1/1 -35/24 -3/2 -16/11 -1/1 -13/9 -5/3 -1/1 -36/25 -1/1 -23/16 1/0 -10/7 -2/1 1/0 -37/26 -2/1 -27/19 -2/1 -17/12 -7/4 -7/5 -5/3 -1/1 -18/13 -1/1 -11/8 1/0 -48/35 -1/1 -37/27 -1/1 1/1 -26/19 -2/1 1/0 -67/49 -7/5 -1/1 -108/79 -1/1 -41/30 0/1 -15/11 1/0 -34/25 -2/1 1/0 -53/39 -3/1 -1/1 -72/53 -3/1 -1/1 -19/14 -2/1 -4/3 -1/1 -17/13 -3/1 -1/1 -30/23 -3/1 -1/1 -13/10 -2/1 -9/7 -2/1 -23/18 -2/1 -60/47 -5/3 -37/29 -19/11 -5/3 -51/40 -3/2 -14/11 -2/1 -3/2 -19/15 -5/3 -1/1 -5/4 -3/2 -21/17 -2/1 -37/30 -2/1 -16/13 -1/1 -11/9 -5/3 -1/1 -17/14 -4/3 -23/19 -9/7 -1/1 -6/5 -1/1 -19/16 1/0 -13/11 -3/1 -1/1 -7/6 -2/1 -8/7 -1/1 -9/8 -2/1 -1/1 -3/1 -1/1 -8/9 -1/1 -7/8 1/0 -13/15 -3/1 -1/1 -6/7 -1/1 -11/13 -1/1 1/1 -16/19 -1/1 -37/44 1/0 -21/25 1/0 -5/6 0/1 -14/17 0/1 1/0 -9/11 1/0 -22/27 -4/1 1/0 -35/43 -3/1 -7/3 -13/16 1/0 -17/21 -3/1 -1/1 -4/5 -1/1 -19/24 1/0 -15/19 -2/1 -41/52 -3/2 -26/33 -2/1 1/0 -37/47 -5/3 -1/1 -11/14 -2/1 -18/23 -1/1 -7/9 -1/1 1/1 -17/22 2/1 -27/35 1/0 -37/48 1/0 -10/13 -2/1 1/0 -13/17 -1/1 1/1 -16/21 -1/1 -3/4 1/0 -20/27 -3/1 -37/50 -2/1 -54/73 -3/1 -1/1 -17/23 -3/1 -1/1 -14/19 -2/1 1/0 -11/15 -3/1 -1/1 -19/26 0/1 -27/37 1/0 -8/11 -3/1 -29/40 1/0 -50/69 -5/2 -2/1 -21/29 -2/1 -55/76 1/0 -34/47 -2/1 1/0 -13/18 -2/1 -18/25 -3/1 -1/1 -5/7 -3/1 -1/1 -17/24 -5/2 -12/17 -3/1 -1/1 -19/27 -3/1 -1/1 -7/10 -2/1 -23/33 -3/1 -1/1 -16/23 -1/1 -9/13 1/0 -20/29 -3/1 -11/16 1/0 -24/35 -3/1 -13/19 -3/1 -1/1 -2/3 -2/1 1/0 -13/20 1/0 -37/57 -3/1 -7/3 -24/37 -3/1 -11/17 -3/1 -1/1 -9/14 -2/1 -25/39 -5/3 -1/1 -16/25 -1/1 -23/36 1/0 -7/11 -3/1 -1/1 -19/30 -4/1 -12/19 -3/1 -1/1 -17/27 -3/1 -1/1 -5/8 1/0 -18/29 -3/1 -1/1 -13/21 -3/1 -1/1 -34/55 -2/1 1/0 -21/34 -2/1 -71/115 -1/1 -1/3 -50/81 -2/1 1/0 -79/128 -3/2 -108/175 -1/1 -29/47 -1/1 1/1 -8/13 -3/1 -27/44 -2/1 -19/31 -3/1 -1/1 -11/18 -2/1 -36/59 -3/1 -1/1 -25/41 -3/1 -1/1 -14/23 -2/1 1/0 -17/28 -7/2 -3/5 -2/1 -19/32 -5/4 -54/91 -1/1 -35/59 -1/1 -5/7 -16/27 -1/1 -13/22 -2/1 -36/61 -1/1 -23/39 -1/1 1/1 -10/17 -2/1 1/0 -37/63 -1/1 1/1 -27/46 1/0 -17/29 -3/1 -1/1 -7/12 1/0 -18/31 -3/1 -1/1 -11/19 -3/1 -1/1 -37/64 1/0 -26/45 -4/1 1/0 -67/116 -7/2 -108/187 -3/1 -41/71 -3/1 -7/3 -15/26 -2/1 -34/59 -2/1 1/0 -53/92 1/0 -72/125 -3/1 -1/1 -19/33 -3/1 -1/1 -4/7 -3/1 -17/30 -2/1 -13/23 -7/3 -11/5 -9/16 -2/1 -23/41 -13/7 -9/5 -60/107 -9/5 -37/66 -2/1 -51/91 -2/1 -14/25 -2/1 -7/4 -5/9 -5/3 -1/1 -21/38 -2/1 -37/67 -9/7 -1/1 -16/29 -1/1 -11/20 1/0 -6/11 -3/1 -1/1 -13/24 1/0 -7/13 -3/1 -1/1 -8/15 -7/3 -1/2 -2/1 0/1 -1/1 1/2 0/1 7/13 -1/1 1/1 13/24 1/0 6/11 -1/1 1/1 11/20 1/0 16/29 -1/1 37/67 -1/1 -5/7 21/38 0/1 5/9 -1/1 -1/3 14/25 -1/4 0/1 9/16 0/1 22/39 0/1 1/6 35/62 0/1 13/23 1/5 1/3 4/7 1/1 19/33 -1/1 1/1 15/26 0/1 41/71 1/3 1/1 26/45 2/1 1/0 37/64 1/0 11/19 -1/1 1/1 7/12 1/0 10/17 0/1 1/0 13/22 0/1 3/5 0/1 14/23 0/1 1/0 11/18 0/1 19/31 -1/1 1/1 8/13 1/1 21/34 0/1 55/89 -1/1 1/1 34/55 0/1 1/0 13/21 -1/1 1/1 5/8 1/0 17/27 -1/1 1/1 12/19 -1/1 1/1 7/11 -1/1 1/1 16/25 -1/1 9/14 0/1 11/17 -1/1 1/1 2/3 0/1 1/0 13/19 -1/1 1/1 24/35 1/1 11/16 1/0 9/13 1/0 25/36 1/0 16/23 -1/1 7/10 0/1 12/17 -1/1 1/1 5/7 -1/1 1/1 13/18 0/1 21/29 0/1 50/69 0/1 1/2 29/40 1/0 8/11 1/1 27/37 1/0 19/26 -2/1 11/15 -1/1 1/1 25/34 0/1 14/19 0/1 1/0 3/4 1/0 16/21 -1/1 13/17 -3/1 -1/1 23/30 0/1 10/13 0/1 1/0 27/35 1/0 17/22 -4/1 7/9 -3/1 -1/1 11/14 0/1 26/33 0/1 1/0 15/19 0/1 4/5 -1/1 17/21 -1/1 1/1 13/16 1/0 9/11 1/0 23/28 1/0 37/45 -11/3 -3/1 14/17 -2/1 1/0 5/6 -2/1 11/13 -3/1 -1/1 6/7 -1/1 7/8 1/0 8/9 -1/1 1/1 -1/1 1/1 9/8 0/1 8/7 -1/1 7/6 0/1 20/17 -1/1 13/11 -1/1 1/1 6/5 -1/1 23/19 -1/1 -5/7 17/14 -2/3 11/9 -1/1 -1/3 27/22 0/1 16/13 -1/1 37/30 0/1 58/47 0/1 1/0 21/17 0/1 26/21 0/1 1/0 31/25 -5/3 -1/1 5/4 -1/2 19/15 -1/1 -1/3 14/11 -1/2 0/1 9/7 0/1 22/17 0/1 1/2 35/27 1/1 3/1 13/10 0/1 17/13 -1/1 1/1 4/3 -1/1 23/17 1/3 1/1 19/14 0/1 15/11 1/0 41/30 -2/1 26/19 0/1 1/0 37/27 -3/1 -1/1 48/35 -1/1 11/8 1/0 18/13 -1/1 25/18 -2/3 7/5 -1/1 -1/3 17/12 -1/4 27/19 0/1 37/26 0/1 10/7 0/1 1/0 13/9 -1/1 -1/3 16/11 -1/1 3/2 0/1 20/13 1/1 37/24 1/0 54/35 -1/1 1/1 17/11 -1/1 1/1 14/9 0/1 1/0 11/7 -1/1 1/1 30/19 -1/1 19/12 -1/2 27/17 0/1 35/22 0/1 8/5 1/1 29/18 0/1 50/31 2/1 1/0 21/13 1/0 55/34 0/1 34/21 0/1 1/0 47/29 -1/1 1/1 60/37 1/1 13/8 1/0 18/11 -1/1 1/1 23/14 0/1 5/3 -1/1 1/1 22/13 0/1 1/2 17/10 2/1 29/17 -1/1 1/1 12/7 -1/1 1/1 19/11 -1/1 1/1 26/15 0/1 1/0 7/4 1/0 30/17 -1/1 23/13 -1/1 1/1 16/9 -1/1 9/5 0/1 20/11 1/1 11/6 0/1 35/19 1/3 1/1 59/32 1/0 24/13 1/1 13/7 -1/1 1/1 2/1 0/1 1/0 15/7 0/1 13/6 0/1 37/17 1/1 3/1 24/11 1/1 35/16 1/0 11/5 -1/1 1/1 9/4 1/0 25/11 -3/1 -1/1 41/18 -2/1 57/25 1/0 16/7 -1/1 39/17 0/1 23/10 0/1 7/3 -1/1 1/1 19/8 1/2 31/13 -1/1 1/1 12/5 -1/1 1/1 17/7 -1/1 1/1 90/37 -1/1 1/1 73/30 0/1 56/23 1/1 39/16 1/0 22/9 0/1 1/0 5/2 0/1 18/7 -1/1 1/1 31/12 1/0 13/5 -1/1 1/1 34/13 0/1 1/0 21/8 1/0 71/27 -1/1 -3/5 50/19 0/1 1/0 79/30 -2/1 108/41 -1/1 29/11 -1/1 -1/3 37/14 0/1 8/3 1/1 35/13 -1/1 1/1 27/10 1/0 73/27 -3/1 -1/1 46/17 0/1 1/0 19/7 -1/1 1/1 30/11 -1/1 1/1 11/4 1/0 36/13 -1/1 1/1 61/22 0/1 25/9 -1/1 1/1 14/5 0/1 1/0 17/6 2/3 3/1 1/0 19/6 -4/3 54/17 -1/1 35/11 -1/1 -7/9 16/5 -1/1 29/9 -1/1 1/1 13/4 1/0 36/11 -1/1 59/18 -2/3 23/7 -1/1 -1/3 10/3 0/1 1/0 47/14 0/1 37/11 -1/1 -1/3 27/8 0/1 44/13 1/1 17/5 -1/1 1/1 24/7 -1/1 1/1 7/2 0/1 18/5 -1/1 1/1 29/8 1/0 11/3 -1/1 1/1 48/13 -1/1 85/23 -1/1 -1/3 37/10 0/1 26/7 0/1 1/2 67/18 2/3 108/29 1/1 149/40 5/4 41/11 1/1 3/1 15/4 1/0 34/9 0/1 1/0 53/14 0/1 72/19 -1/1 1/1 19/5 -1/1 1/1 4/1 1/1 21/5 2/1 38/9 2/1 1/0 55/13 1/1 3/1 72/17 1/1 3/1 17/4 1/0 30/7 3/1 13/3 3/1 5/1 9/2 1/0 23/5 -7/1 -5/1 60/13 -5/1 37/8 1/0 88/19 -5/1 51/11 1/0 14/3 -4/1 1/0 33/7 -4/1 52/11 -3/1 71/15 -35/11 -3/1 90/19 -3/1 19/4 -5/2 5/1 -3/1 -1/1 21/4 1/0 37/7 -7/5 -1/1 16/3 -1/1 11/2 0/1 17/3 -1/1 1/1 23/4 1/0 6/1 -1/1 1/1 19/3 -1/1 1/1 13/2 0/1 7/1 -1/1 1/1 36/5 1/1 29/4 3/2 22/3 2/1 1/0 37/5 1/3 1/1 15/2 2/1 8/1 3/1 9/1 1/0 10/1 -4/1 1/0 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(37,360,-48,-467) (-9/1,1/0) -> (-27/35,-37/48) Hyperbolic Matrix(35,288,48,395) (-9/1,-8/1) -> (8/11,27/37) Hyperbolic Matrix(37,288,-60,-467) (-8/1,-7/1) -> (-29/47,-8/13) Hyperbolic Matrix(37,252,16,109) (-7/1,-13/2) -> (23/10,7/3) Hyperbolic Matrix(73,468,-56,-359) (-13/2,-6/1) -> (-30/23,-13/10) Hyperbolic Matrix(37,216,68,397) (-6/1,-23/4) -> (13/24,6/11) Hyperbolic Matrix(107,612,132,755) (-23/4,-17/3) -> (17/21,13/16) Hyperbolic Matrix(71,396,116,647) (-17/3,-11/2) -> (11/18,19/31) Hyperbolic Matrix(73,396,40,217) (-11/2,-16/3) -> (20/11,11/6) Hyperbolic Matrix(217,1152,68,361) (-16/3,-37/7) -> (35/11,16/5) Hyperbolic Matrix(431,2268,164,863) (-37/7,-21/4) -> (21/8,71/27) Hyperbolic Matrix(179,936,48,251) (-21/4,-5/1) -> (41/11,15/4) Hyperbolic Matrix(143,684,60,287) (-5/1,-19/4) -> (19/8,31/13) Hyperbolic Matrix(107,504,-176,-829) (-19/4,-14/3) -> (-14/23,-17/28) Hyperbolic Matrix(71,324,-16,-73) (-14/3,-9/2) -> (-9/2,-22/5) Parabolic Matrix(755,3312,-468,-2053) (-22/5,-35/8) -> (-71/44,-50/31) Hyperbolic Matrix(215,936,-116,-505) (-35/8,-13/3) -> (-13/7,-37/20) Hyperbolic Matrix(109,468,-92,-395) (-13/3,-17/4) -> (-19/16,-13/11) Hyperbolic Matrix(35,144,-44,-181) (-17/4,-4/1) -> (-4/5,-19/24) Hyperbolic Matrix(37,144,28,109) (-4/1,-19/5) -> (17/13,4/3) Hyperbolic Matrix(325,1224,-124,-467) (-19/5,-15/4) -> (-21/8,-55/21) Hyperbolic Matrix(251,936,48,179) (-15/4,-41/11) -> (5/1,21/4) Hyperbolic Matrix(755,2808,-552,-2053) (-41/11,-26/7) -> (-26/19,-67/49) Hyperbolic Matrix(359,1332,252,935) (-26/7,-37/10) -> (37/26,10/7) Hyperbolic Matrix(1081,3996,-1928,-7127) (-37/10,-48/13) -> (-60/107,-37/66) Hyperbolic Matrix(791,2916,488,1799) (-48/13,-11/3) -> (47/29,60/37) Hyperbolic Matrix(109,396,-188,-683) (-11/3,-18/5) -> (-18/31,-11/19) Hyperbolic Matrix(71,252,20,71) (-18/5,-7/2) -> (7/2,18/5) Hyperbolic Matrix(73,252,-104,-359) (-7/2,-17/5) -> (-19/27,-7/10) Hyperbolic Matrix(287,972,-468,-1585) (-17/5,-27/8) -> (-27/44,-19/31) Hyperbolic Matrix(107,360,96,323) (-27/8,-37/11) -> (1/1,9/8) Hyperbolic Matrix(397,1332,-504,-1691) (-37/11,-10/3) -> (-26/33,-37/47) Hyperbolic Matrix(109,360,-76,-251) (-10/3,-13/4) -> (-23/16,-10/7) Hyperbolic Matrix(179,576,-280,-901) (-13/4,-16/5) -> (-16/25,-23/36) Hyperbolic Matrix(35,108,-12,-37) (-16/5,-3/1) -> (-3/1,-20/7) Parabolic Matrix(467,1332,88,251) (-20/7,-37/13) -> (37/7,16/3) Hyperbolic Matrix(1367,3888,-2304,-6553) (-37/13,-54/19) -> (-54/91,-35/59) Hyperbolic Matrix(685,1944,216,613) (-54/19,-17/6) -> (19/6,54/17) Hyperbolic Matrix(217,612,128,361) (-17/6,-14/5) -> (22/13,17/10) Hyperbolic Matrix(181,504,-116,-323) (-14/5,-11/4) -> (-25/16,-14/9) Hyperbolic Matrix(145,396,264,721) (-11/4,-30/11) -> (6/11,11/20) Hyperbolic Matrix(397,1080,-304,-827) (-30/11,-19/7) -> (-17/13,-30/23) Hyperbolic Matrix(359,972,-612,-1657) (-19/7,-27/10) -> (-27/46,-17/29) Hyperbolic Matrix(721,1944,-1228,-3311) (-27/10,-35/13) -> (-37/63,-27/46) Hyperbolic Matrix(107,288,120,323) (-35/13,-8/3) -> (8/9,1/1) Hyperbolic Matrix(109,288,-204,-539) (-8/3,-29/11) -> (-7/13,-8/15) Hyperbolic Matrix(2051,5400,-1272,-3349) (-29/11,-50/19) -> (-50/31,-79/49) Hyperbolic Matrix(1081,2844,-848,-2231) (-50/19,-21/8) -> (-51/40,-14/11) Hyperbolic Matrix(1403,3672,-1032,-2701) (-55/21,-34/13) -> (-34/25,-53/39) Hyperbolic Matrix(179,468,96,251) (-34/13,-13/5) -> (13/7,2/1) Hyperbolic Matrix(181,468,-292,-755) (-13/5,-18/7) -> (-18/29,-13/21) Hyperbolic Matrix(71,180,28,71) (-18/7,-5/2) -> (5/2,18/7) Hyperbolic Matrix(73,180,88,217) (-5/2,-22/9) -> (14/17,5/6) Hyperbolic Matrix(251,612,-340,-829) (-22/9,-17/7) -> (-17/23,-14/19) Hyperbolic Matrix(179,432,104,251) (-17/7,-12/5) -> (12/7,19/11) Hyperbolic Matrix(181,432,-256,-611) (-12/5,-19/8) -> (-17/24,-12/17) Hyperbolic Matrix(107,252,76,179) (-19/8,-7/3) -> (7/5,17/12) Hyperbolic Matrix(109,252,16,37) (-7/3,-23/10) -> (13/2,7/1) Hyperbolic Matrix(251,576,-424,-973) (-23/10,-16/7) -> (-16/27,-13/22) Hyperbolic Matrix(143,324,-64,-145) (-16/7,-9/4) -> (-9/4,-20/9) Parabolic Matrix(179,396,-212,-469) (-20/9,-11/5) -> (-11/13,-16/19) Hyperbolic Matrix(361,792,624,1369) (-11/5,-35/16) -> (37/64,11/19) Hyperbolic Matrix(1367,2988,296,647) (-35/16,-24/11) -> (60/13,37/8) Hyperbolic Matrix(613,1332,-480,-1043) (-24/11,-13/6) -> (-23/18,-60/47) Hyperbolic Matrix(217,468,-300,-647) (-13/6,-2/1) -> (-34/47,-13/18) Hyperbolic Matrix(251,468,96,179) (-2/1,-13/7) -> (13/5,34/13) Hyperbolic Matrix(935,1728,428,791) (-37/20,-24/13) -> (24/11,35/16) Hyperbolic Matrix(937,1728,-1444,-2663) (-24/13,-35/19) -> (-37/57,-24/37) Hyperbolic Matrix(1115,2052,332,611) (-35/19,-11/6) -> (47/14,37/11) Hyperbolic Matrix(179,324,-100,-181) (-11/6,-9/5) -> (-9/5,-25/14) Parabolic Matrix(323,576,60,107) (-25/14,-16/9) -> (16/3,11/2) Hyperbolic Matrix(325,576,224,397) (-16/9,-23/13) -> (13/9,16/11) Hyperbolic Matrix(143,252,-164,-289) (-23/13,-7/4) -> (-7/8,-13/15) Hyperbolic Matrix(145,252,-248,-431) (-7/4,-19/11) -> (-17/29,-7/12) Hyperbolic Matrix(251,432,104,179) (-19/11,-12/7) -> (12/5,17/7) Hyperbolic Matrix(253,432,-400,-683) (-12/7,-17/10) -> (-19/30,-12/19) Hyperbolic Matrix(361,612,128,217) (-17/10,-22/13) -> (14/5,17/6) Hyperbolic Matrix(107,180,192,323) (-22/13,-5/3) -> (5/9,14/25) Hyperbolic Matrix(109,180,-152,-251) (-5/3,-18/11) -> (-18/25,-5/7) Hyperbolic Matrix(287,468,176,287) (-18/11,-13/8) -> (13/8,18/11) Hyperbolic Matrix(289,468,-444,-719) (-13/8,-34/21) -> (-2/3,-13/20) Hyperbolic Matrix(757,1224,-556,-899) (-34/21,-21/13) -> (-15/11,-34/25) Hyperbolic Matrix(1405,2268,-1672,-2699) (-21/13,-71/44) -> (-37/44,-21/25) Hyperbolic Matrix(7235,11664,-11724,-18901) (-79/49,-108/67) -> (-108/175,-29/47) Hyperbolic Matrix(7237,11664,2748,4429) (-108/67,-29/18) -> (79/30,108/41) Hyperbolic Matrix(179,288,156,251) (-29/18,-8/5) -> (8/7,7/6) Hyperbolic Matrix(361,576,136,217) (-8/5,-35/22) -> (37/14,8/3) Hyperbolic Matrix(1223,1944,860,1367) (-35/22,-27/17) -> (27/19,37/26) Hyperbolic Matrix(613,972,432,685) (-27/17,-19/12) -> (17/12,27/19) Hyperbolic Matrix(433,684,-364,-575) (-19/12,-30/19) -> (-6/5,-19/16) Hyperbolic Matrix(251,396,296,467) (-30/19,-11/7) -> (11/13,6/7) Hyperbolic Matrix(827,1296,-1356,-2125) (-11/7,-36/23) -> (-36/59,-25/41) Hyperbolic Matrix(829,1296,300,469) (-36/23,-25/16) -> (11/4,36/13) Hyperbolic Matrix(325,504,256,397) (-14/9,-17/11) -> (19/15,14/11) Hyperbolic Matrix(71,108,-48,-73) (-17/11,-3/2) -> (-3/2,-19/13) Parabolic Matrix(1331,1944,-1800,-2629) (-19/13,-54/37) -> (-54/73,-17/23) Hyperbolic Matrix(2665,3888,1728,2521) (-54/37,-35/24) -> (37/24,54/35) Hyperbolic Matrix(791,1152,-940,-1369) (-35/24,-16/11) -> (-16/19,-37/44) Hyperbolic Matrix(397,576,224,325) (-16/11,-13/9) -> (23/13,16/9) Hyperbolic Matrix(899,1296,-1524,-2197) (-13/9,-36/25) -> (-36/61,-23/39) Hyperbolic Matrix(901,1296,276,397) (-36/25,-23/16) -> (13/4,36/11) Hyperbolic Matrix(935,1332,252,359) (-10/7,-37/26) -> (37/10,26/7) Hyperbolic Matrix(1367,1944,860,1223) (-37/26,-27/19) -> (27/17,35/22) Hyperbolic Matrix(685,972,432,613) (-27/19,-17/12) -> (19/12,27/17) Hyperbolic Matrix(179,252,76,107) (-17/12,-7/5) -> (7/3,19/8) Hyperbolic Matrix(181,252,-232,-323) (-7/5,-18/13) -> (-18/23,-7/9) Hyperbolic Matrix(287,396,208,287) (-18/13,-11/8) -> (11/8,18/13) Hyperbolic Matrix(577,792,840,1153) (-11/8,-48/35) -> (24/35,11/16) Hyperbolic Matrix(1943,2664,892,1223) (-48/35,-37/27) -> (37/17,24/11) Hyperbolic Matrix(973,1332,-1656,-2267) (-37/27,-26/19) -> (-10/17,-37/63) Hyperbolic Matrix(8531,11664,-14772,-20197) (-67/49,-108/79) -> (-108/187,-41/71) Hyperbolic Matrix(8533,11664,2292,3133) (-108/79,-41/30) -> (67/18,108/29) Hyperbolic Matrix(685,936,-816,-1115) (-41/30,-15/11) -> (-21/25,-5/6) Hyperbolic Matrix(3815,5184,-6624,-9001) (-53/39,-72/53) -> (-72/125,-19/33) Hyperbolic Matrix(3817,5184,1008,1369) (-72/53,-19/14) -> (53/14,72/19) Hyperbolic Matrix(107,144,-188,-253) (-19/14,-4/3) -> (-4/7,-17/30) Hyperbolic Matrix(109,144,28,37) (-4/3,-17/13) -> (19/5,4/1) Hyperbolic Matrix(251,324,-196,-253) (-13/10,-9/7) -> (-9/7,-23/18) Parabolic Matrix(3131,3996,2284,2915) (-60/47,-37/29) -> (37/27,48/35) Hyperbolic Matrix(2089,2664,396,505) (-37/29,-51/40) -> (21/4,37/7) Hyperbolic Matrix(397,504,256,325) (-14/11,-19/15) -> (17/11,14/9) Hyperbolic Matrix(143,180,228,287) (-19/15,-5/4) -> (5/8,17/27) Hyperbolic Matrix(757,936,-960,-1187) (-5/4,-21/17) -> (-15/19,-41/52) Hyperbolic Matrix(2159,2664,-3852,-4753) (-21/17,-37/30) -> (-37/66,-51/91) Hyperbolic Matrix(1081,1332,-1460,-1799) (-37/30,-16/13) -> (-20/27,-37/50) Hyperbolic Matrix(469,576,-732,-899) (-16/13,-11/9) -> (-25/39,-16/25) Hyperbolic Matrix(325,396,444,541) (-11/9,-17/14) -> (19/26,11/15) Hyperbolic Matrix(683,828,504,611) (-17/14,-23/19) -> (23/17,19/14) Hyperbolic Matrix(685,828,388,469) (-23/19,-6/5) -> (30/17,23/13) Hyperbolic Matrix(215,252,-308,-361) (-13/11,-7/6) -> (-7/10,-23/33) Hyperbolic Matrix(251,288,156,179) (-7/6,-8/7) -> (8/5,29/18) Hyperbolic Matrix(541,612,160,181) (-8/7,-9/8) -> (27/8,44/13) Hyperbolic Matrix(323,360,96,107) (-9/8,-1/1) -> (37/11,27/8) Hyperbolic Matrix(323,288,120,107) (-1/1,-8/9) -> (8/3,35/13) Hyperbolic Matrix(325,288,448,397) (-8/9,-7/8) -> (29/40,8/11) Hyperbolic Matrix(251,216,208,179) (-13/15,-6/7) -> (6/5,23/19) Hyperbolic Matrix(467,396,296,251) (-6/7,-11/13) -> (11/7,30/19) Hyperbolic Matrix(217,180,88,73) (-5/6,-14/17) -> (22/9,5/2) Hyperbolic Matrix(395,324,-484,-397) (-14/17,-9/11) -> (-9/11,-22/27) Parabolic Matrix(4067,3312,-6588,-5365) (-22/27,-35/43) -> (-71/115,-50/81) Hyperbolic Matrix(1151,936,-1772,-1441) (-35/43,-13/16) -> (-13/20,-37/57) Hyperbolic Matrix(755,612,132,107) (-13/16,-17/21) -> (17/3,23/4) Hyperbolic Matrix(179,144,312,251) (-17/21,-4/5) -> (4/7,19/33) Hyperbolic Matrix(1549,1224,-2140,-1691) (-19/24,-15/19) -> (-21/29,-55/76) Hyperbolic Matrix(3563,2808,-6168,-4861) (-41/52,-26/33) -> (-26/45,-67/116) Hyperbolic Matrix(1007,792,548,431) (-37/47,-11/14) -> (11/6,35/19) Hyperbolic Matrix(827,648,596,467) (-11/14,-18/23) -> (18/13,25/18) Hyperbolic Matrix(791,612,464,359) (-7/9,-17/22) -> (17/10,29/17) Hyperbolic Matrix(1259,972,1724,1331) (-17/22,-27/35) -> (27/37,19/26) Hyperbolic Matrix(1729,1332,2992,2305) (-37/48,-10/13) -> (26/45,37/64) Hyperbolic Matrix(469,360,-796,-611) (-10/13,-13/17) -> (-23/39,-10/17) Hyperbolic Matrix(613,468,520,397) (-13/17,-16/21) -> (20/17,13/11) Hyperbolic Matrix(143,108,-192,-145) (-16/21,-3/4) -> (-3/4,-20/27) Parabolic Matrix(9829,7272,4040,2989) (-37/50,-54/73) -> (90/37,73/30) Hyperbolic Matrix(685,504,-1124,-827) (-14/19,-11/15) -> (-25/41,-14/23) Hyperbolic Matrix(541,396,444,325) (-11/15,-19/26) -> (17/14,11/9) Hyperbolic Matrix(1331,972,1724,1259) (-19/26,-27/37) -> (27/35,17/22) Hyperbolic Matrix(395,288,48,35) (-27/37,-8/11) -> (8/1,9/1) Hyperbolic Matrix(397,288,448,325) (-8/11,-29/40) -> (7/8,8/9) Hyperbolic Matrix(7451,5400,-12072,-8749) (-29/40,-50/69) -> (-50/81,-79/128) Hyperbolic Matrix(3925,2844,-7004,-5075) (-50/69,-21/29) -> (-51/91,-14/25) Hyperbolic Matrix(5075,3672,-8808,-6373) (-55/76,-34/47) -> (-34/59,-53/92) Hyperbolic Matrix(899,648,548,395) (-13/18,-18/25) -> (18/11,23/14) Hyperbolic Matrix(253,180,52,37) (-5/7,-17/24) -> (19/4,5/1) Hyperbolic Matrix(613,432,972,685) (-12/17,-19/27) -> (17/27,12/19) Hyperbolic Matrix(827,576,1084,755) (-23/33,-16/23) -> (16/21,13/17) Hyperbolic Matrix(467,324,-676,-469) (-16/23,-9/13) -> (-9/13,-20/29) Parabolic Matrix(575,396,1044,719) (-20/29,-11/16) -> (11/20,16/29) Hyperbolic Matrix(1153,792,840,577) (-11/16,-24/35) -> (48/35,11/8) Hyperbolic Matrix(1945,1332,-3468,-2375) (-24/35,-13/19) -> (-23/41,-60/107) Hyperbolic Matrix(685,468,1108,757) (-13/19,-2/3) -> (34/55,13/21) Hyperbolic Matrix(1223,792,332,215) (-24/37,-11/17) -> (11/3,48/13) Hyperbolic Matrix(503,324,-784,-505) (-11/17,-9/14) -> (-9/14,-25/39) Parabolic Matrix(395,252,732,467) (-23/36,-7/11) -> (7/13,13/24) Hyperbolic Matrix(397,252,512,325) (-7/11,-19/30) -> (17/22,7/9) Hyperbolic Matrix(971,612,284,179) (-12/19,-17/27) -> (17/5,24/7) Hyperbolic Matrix(287,180,228,143) (-17/27,-5/8) -> (5/4,19/15) Hyperbolic Matrix(1043,648,404,251) (-5/8,-18/29) -> (18/7,31/12) Hyperbolic Matrix(757,468,1108,685) (-13/21,-34/55) -> (2/3,13/19) Hyperbolic Matrix(1981,1224,-3436,-2123) (-34/55,-21/34) -> (-15/26,-34/59) Hyperbolic Matrix(3673,2268,6648,4105) (-21/34,-71/115) -> (37/67,21/38) Hyperbolic Matrix(9683,5976,1340,827) (-79/128,-108/175) -> (36/5,29/4) Hyperbolic Matrix(469,288,412,253) (-8/13,-27/44) -> (9/8,8/7) Hyperbolic Matrix(647,396,116,71) (-19/31,-11/18) -> (11/2,17/3) Hyperbolic Matrix(4247,2592,1532,935) (-11/18,-36/59) -> (36/13,61/22) Hyperbolic Matrix(179,108,-300,-181) (-17/28,-3/5) -> (-3/5,-19/32) Parabolic Matrix(4609,2736,972,577) (-19/32,-54/91) -> (90/19,19/4) Hyperbolic Matrix(1943,1152,3520,2087) (-35/59,-16/27) -> (16/29,37/67) Hyperbolic Matrix(4391,2592,1340,791) (-13/22,-36/61) -> (36/11,59/18) Hyperbolic Matrix(1115,648,308,179) (-7/12,-18/31) -> (18/5,29/8) Hyperbolic Matrix(1369,792,624,361) (-11/19,-37/64) -> (35/16,11/5) Hyperbolic Matrix(685,396,64,37) (-37/64,-26/45) -> (10/1,1/0) Hyperbolic Matrix(40391,23328,10844,6263) (-67/116,-108/187) -> (108/29,149/40) Hyperbolic Matrix(1621,936,2932,1693) (-41/71,-15/26) -> (21/38,5/9) Hyperbolic Matrix(8749,5040,2064,1189) (-53/92,-72/125) -> (72/17,17/4) Hyperbolic Matrix(251,144,312,179) (-19/33,-4/7) -> (4/5,17/21) Hyperbolic Matrix(1081,612,892,505) (-17/30,-13/23) -> (23/19,17/14) Hyperbolic Matrix(575,324,-1024,-577) (-13/23,-9/16) -> (-9/16,-23/41) Parabolic Matrix(323,180,192,107) (-14/25,-5/9) -> (5/3,22/13) Hyperbolic Matrix(1693,936,2932,1621) (-5/9,-21/38) -> (15/26,41/71) Hyperbolic Matrix(2411,1332,324,179) (-21/38,-37/67) -> (37/5,15/2) Hyperbolic Matrix(5543,3060,1172,647) (-37/67,-16/29) -> (52/11,71/15) Hyperbolic Matrix(1045,576,1504,829) (-16/29,-11/20) -> (25/36,16/23) Hyperbolic Matrix(721,396,264,145) (-11/20,-6/11) -> (30/11,11/4) Hyperbolic Matrix(397,216,68,37) (-6/11,-13/24) -> (23/4,6/1) Hyperbolic Matrix(865,468,268,145) (-13/24,-7/13) -> (29/9,13/4) Hyperbolic Matrix(541,288,340,181) (-8/15,-1/2) -> (35/22,8/5) Hyperbolic Matrix(1,0,4,1) (-1/2,0/1) -> (0/1,1/2) Parabolic Matrix(539,-288,204,-109) (1/2,7/13) -> (29/11,37/14) Hyperbolic Matrix(577,-324,1024,-575) (14/25,9/16) -> (9/16,22/39) Parabolic Matrix(5039,-2844,4084,-2305) (22/39,35/62) -> (37/30,58/47) Hyperbolic Matrix(6121,-3456,1656,-935) (35/62,13/23) -> (85/23,37/10) Hyperbolic Matrix(253,-144,188,-107) (13/23,4/7) -> (4/3,23/17) Hyperbolic Matrix(2123,-1224,3436,-1981) (19/33,15/26) -> (21/34,55/89) Hyperbolic Matrix(3241,-1872,2616,-1511) (41/71,26/45) -> (26/21,31/25) Hyperbolic Matrix(683,-396,188,-109) (11/19,7/12) -> (29/8,11/3) Hyperbolic Matrix(431,-252,248,-145) (7/12,10/17) -> (26/15,7/4) Hyperbolic Matrix(611,-360,796,-469) (10/17,13/22) -> (23/30,10/13) Hyperbolic Matrix(973,-576,424,-251) (13/22,3/5) -> (39/17,23/10) Hyperbolic Matrix(829,-504,176,-107) (3/5,14/23) -> (14/3,33/7) Hyperbolic Matrix(827,-504,1124,-685) (14/23,11/18) -> (25/34,14/19) Hyperbolic Matrix(1585,-972,468,-287) (19/31,8/13) -> (44/13,17/5) Hyperbolic Matrix(467,-288,60,-37) (8/13,21/34) -> (15/2,8/1) Hyperbolic Matrix(6407,-3960,1516,-937) (55/89,34/55) -> (38/9,55/13) Hyperbolic Matrix(755,-468,292,-181) (13/21,5/8) -> (31/12,13/5) Hyperbolic Matrix(683,-432,400,-253) (12/19,7/11) -> (29/17,12/7) Hyperbolic Matrix(901,-576,280,-179) (7/11,16/25) -> (16/5,29/9) Hyperbolic Matrix(899,-576,732,-469) (16/25,9/14) -> (27/22,16/13) Hyperbolic Matrix(613,-396,500,-323) (9/14,11/17) -> (11/9,27/22) Hyperbolic Matrix(719,-468,444,-289) (11/17,2/3) -> (34/21,47/29) Hyperbolic Matrix(3887,-2664,1052,-721) (13/19,24/35) -> (48/13,85/23) Hyperbolic Matrix(469,-324,676,-467) (11/16,9/13) -> (9/13,25/36) Parabolic Matrix(361,-252,308,-215) (16/23,7/10) -> (7/6,20/17) Hyperbolic Matrix(359,-252,104,-73) (7/10,12/17) -> (24/7,7/2) Hyperbolic Matrix(611,-432,256,-181) (12/17,5/7) -> (31/13,12/5) Hyperbolic Matrix(251,-180,152,-109) (5/7,13/18) -> (23/14,5/3) Hyperbolic Matrix(647,-468,300,-217) (13/18,21/29) -> (15/7,13/6) Hyperbolic Matrix(3131,-2268,2536,-1837) (21/29,50/69) -> (58/47,21/17) Hyperbolic Matrix(2881,-2088,396,-287) (50/69,29/40) -> (29/4,22/3) Hyperbolic Matrix(1765,-1296,636,-467) (11/15,25/34) -> (61/22,25/9) Hyperbolic Matrix(829,-612,340,-251) (14/19,3/4) -> (39/16,22/9) Hyperbolic Matrix(1043,-792,428,-325) (3/4,16/21) -> (56/23,39/16) Hyperbolic Matrix(1693,-1296,516,-395) (13/17,23/30) -> (59/18,23/7) Hyperbolic Matrix(467,-360,48,-37) (10/13,27/35) -> (9/1,10/1) Hyperbolic Matrix(323,-252,232,-181) (7/9,11/14) -> (25/18,7/5) Hyperbolic Matrix(1691,-1332,504,-397) (11/14,26/33) -> (10/3,47/14) Hyperbolic Matrix(1187,-936,960,-757) (26/33,15/19) -> (21/17,26/21) Hyperbolic Matrix(181,-144,44,-35) (15/19,4/5) -> (4/1,21/5) Hyperbolic Matrix(397,-324,484,-395) (13/16,9/11) -> (9/11,23/28) Parabolic Matrix(3635,-2988,1972,-1621) (23/28,37/45) -> (35/19,59/32) Hyperbolic Matrix(1619,-1332,220,-181) (37/45,14/17) -> (22/3,37/5) Hyperbolic Matrix(683,-576,300,-253) (5/6,11/13) -> (25/11,41/18) Hyperbolic Matrix(289,-252,164,-143) (6/7,7/8) -> (7/4,30/17) Hyperbolic Matrix(395,-468,92,-109) (13/11,6/5) -> (30/7,13/3) Hyperbolic Matrix(2629,-3240,1080,-1331) (16/13,37/30) -> (73/30,56/23) Hyperbolic Matrix(3889,-4824,1044,-1295) (31/25,5/4) -> (149/40,41/11) Hyperbolic Matrix(253,-324,196,-251) (14/11,9/7) -> (9/7,22/17) Parabolic Matrix(2557,-3312,972,-1259) (22/17,35/27) -> (71/27,50/19) Hyperbolic Matrix(721,-936,332,-431) (35/27,13/10) -> (13/6,37/17) Hyperbolic Matrix(359,-468,56,-73) (13/10,17/13) -> (19/3,13/2) Hyperbolic Matrix(899,-1224,556,-757) (19/14,15/11) -> (21/13,55/34) Hyperbolic Matrix(2161,-2952,948,-1295) (15/11,41/30) -> (41/18,57/25) Hyperbolic Matrix(2053,-2808,552,-755) (41/30,26/19) -> (26/7,67/18) Hyperbolic Matrix(2629,-3600,972,-1331) (26/19,37/27) -> (73/27,46/17) Hyperbolic Matrix(251,-360,76,-109) (10/7,13/9) -> (23/7,10/3) Hyperbolic Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(2593,-3996,560,-863) (20/13,37/24) -> (37/8,88/19) Hyperbolic Matrix(1585,-2448,652,-1007) (54/35,17/11) -> (17/7,90/37) Hyperbolic Matrix(323,-504,116,-181) (14/9,11/7) -> (25/9,14/5) Hyperbolic Matrix(683,-1080,160,-253) (30/19,19/12) -> (17/4,30/7) Hyperbolic Matrix(3349,-5400,1272,-2051) (29/18,50/31) -> (50/19,79/30) Hyperbolic Matrix(1763,-2844,380,-613) (50/31,21/13) -> (51/11,14/3) Hyperbolic Matrix(2269,-3672,600,-971) (55/34,34/21) -> (34/9,53/14) Hyperbolic Matrix(2375,-3852,1288,-2089) (60/37,13/8) -> (59/32,24/13) Hyperbolic Matrix(791,-1368,292,-505) (19/11,26/15) -> (46/17,19/7) Hyperbolic Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(719,-1332,156,-289) (24/13,13/7) -> (23/5,60/13) Hyperbolic Matrix(287,-612,68,-145) (2/1,15/7) -> (21/5,38/9) Hyperbolic Matrix(145,-324,64,-143) (11/5,9/4) -> (9/4,25/11) Parabolic Matrix(2557,-5832,552,-1259) (57/25,16/7) -> (88/19,51/11) Hyperbolic Matrix(1115,-2556,236,-541) (16/7,39/17) -> (33/7,52/11) Hyperbolic Matrix(467,-1224,124,-325) (34/13,21/8) -> (15/4,34/9) Hyperbolic Matrix(683,-1800,96,-253) (108/41,29/11) -> (7/1,36/5) Hyperbolic Matrix(1081,-2916,400,-1079) (35/13,27/10) -> (27/10,73/27) Parabolic Matrix(251,-684,40,-109) (19/7,30/11) -> (6/1,19/3) Hyperbolic Matrix(37,-108,12,-35) (17/6,3/1) -> (3/1,19/6) Parabolic Matrix(2197,-6984,464,-1475) (54/17,35/11) -> (71/15,90/19) Hyperbolic Matrix(1405,-5328,332,-1259) (72/19,19/5) -> (55/13,72/17) Hyperbolic Matrix(73,-324,16,-71) (13/3,9/2) -> (9/2,23/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(37,360,-48,-467) -> Matrix(1,-4,0,1) Matrix(35,288,48,395) -> Matrix(1,6,0,1) Matrix(37,288,-60,-467) -> Matrix(1,2,0,1) Matrix(37,252,16,109) -> Matrix(1,2,0,1) Matrix(73,468,-56,-359) -> Matrix(1,0,0,1) Matrix(37,216,68,397) -> Matrix(1,2,0,1) Matrix(107,612,132,755) -> Matrix(1,2,0,1) Matrix(71,396,116,647) -> Matrix(1,2,0,1) Matrix(73,396,40,217) -> Matrix(1,2,0,1) Matrix(217,1152,68,361) -> Matrix(1,2,-2,-3) Matrix(431,2268,164,863) -> Matrix(1,0,0,1) Matrix(179,936,48,251) -> Matrix(1,2,0,1) Matrix(143,684,60,287) -> Matrix(1,0,0,1) Matrix(107,504,-176,-829) -> Matrix(1,-4,0,1) Matrix(71,324,-16,-73) -> Matrix(1,-10,0,1) Matrix(755,3312,-468,-2053) -> Matrix(1,4,0,1) Matrix(215,936,-116,-505) -> Matrix(1,4,0,1) Matrix(109,468,-92,-395) -> Matrix(1,4,0,1) Matrix(35,144,-44,-181) -> Matrix(1,2,0,1) Matrix(37,144,28,109) -> Matrix(1,2,0,1) Matrix(325,1224,-124,-467) -> Matrix(1,0,0,1) Matrix(251,936,48,179) -> Matrix(1,2,0,1) Matrix(755,2808,-552,-2053) -> Matrix(3,8,-2,-5) Matrix(359,1332,252,935) -> Matrix(1,2,2,5) Matrix(1081,3996,-1928,-7127) -> Matrix(7,16,-4,-9) Matrix(791,2916,488,1799) -> Matrix(1,2,0,1) Matrix(109,396,-188,-683) -> Matrix(1,0,0,1) Matrix(71,252,20,71) -> Matrix(1,2,0,1) Matrix(73,252,-104,-359) -> Matrix(1,0,0,1) Matrix(287,972,-468,-1585) -> Matrix(1,0,0,1) Matrix(107,360,96,323) -> Matrix(1,2,-2,-3) Matrix(397,1332,-504,-1691) -> Matrix(1,0,0,1) Matrix(109,360,-76,-251) -> Matrix(1,0,0,1) Matrix(179,576,-280,-901) -> Matrix(1,0,0,1) Matrix(35,108,-12,-37) -> Matrix(1,-2,0,1) Matrix(467,1332,88,251) -> Matrix(1,4,-2,-7) Matrix(1367,3888,-2304,-6553) -> Matrix(7,22,-8,-25) Matrix(685,1944,216,613) -> Matrix(7,20,-6,-17) Matrix(217,612,128,361) -> Matrix(1,2,2,5) Matrix(181,504,-116,-323) -> Matrix(1,0,0,1) Matrix(145,396,264,721) -> Matrix(1,2,0,1) Matrix(397,1080,-304,-827) -> Matrix(1,0,0,1) Matrix(359,972,-612,-1657) -> Matrix(1,0,0,1) Matrix(721,1944,-1228,-3311) -> Matrix(1,2,0,1) Matrix(107,288,120,323) -> Matrix(1,2,0,1) Matrix(109,288,-204,-539) -> Matrix(5,8,-2,-3) Matrix(2051,5400,-1272,-3349) -> Matrix(1,-2,0,1) Matrix(1081,2844,-848,-2231) -> Matrix(3,8,-2,-5) Matrix(1403,3672,-1032,-2701) -> Matrix(1,0,0,1) Matrix(179,468,96,251) -> Matrix(1,2,0,1) Matrix(181,468,-292,-755) -> Matrix(1,0,0,1) Matrix(71,180,28,71) -> Matrix(1,2,0,1) Matrix(73,180,88,217) -> Matrix(1,0,0,1) Matrix(251,612,-340,-829) -> Matrix(1,0,0,1) Matrix(179,432,104,251) -> Matrix(1,2,0,1) Matrix(181,432,-256,-611) -> Matrix(1,0,0,1) Matrix(107,252,76,179) -> Matrix(1,2,-2,-3) Matrix(109,252,16,37) -> Matrix(1,2,0,1) Matrix(251,576,-424,-973) -> Matrix(1,0,0,1) Matrix(143,324,-64,-145) -> Matrix(1,-2,0,1) Matrix(179,396,-212,-469) -> Matrix(1,2,0,1) Matrix(361,792,624,1369) -> Matrix(1,2,0,1) Matrix(1367,2988,296,647) -> Matrix(1,-2,0,1) Matrix(613,1332,-480,-1043) -> Matrix(7,16,-4,-9) Matrix(217,468,-300,-647) -> Matrix(1,0,0,1) Matrix(251,468,96,179) -> Matrix(1,2,0,1) Matrix(935,1728,428,791) -> Matrix(1,4,0,1) Matrix(937,1728,-1444,-2663) -> Matrix(1,0,0,1) Matrix(1115,2052,332,611) -> Matrix(1,2,0,1) Matrix(179,324,-100,-181) -> Matrix(3,8,-2,-5) Matrix(323,576,60,107) -> Matrix(1,2,-2,-3) Matrix(325,576,224,397) -> Matrix(1,2,-2,-3) Matrix(143,252,-164,-289) -> Matrix(1,0,0,1) Matrix(145,252,-248,-431) -> Matrix(1,0,0,1) Matrix(251,432,104,179) -> Matrix(1,2,0,1) Matrix(253,432,-400,-683) -> Matrix(1,0,0,1) Matrix(361,612,128,217) -> Matrix(1,2,2,5) Matrix(107,180,192,323) -> Matrix(1,2,-2,-3) Matrix(109,180,-152,-251) -> Matrix(1,0,0,1) Matrix(287,468,176,287) -> Matrix(1,2,0,1) Matrix(289,468,-444,-719) -> Matrix(1,0,0,1) Matrix(757,1224,-556,-899) -> Matrix(1,0,0,1) Matrix(1405,2268,-1672,-2699) -> Matrix(1,2,0,1) Matrix(7235,11664,-11724,-18901) -> Matrix(1,4,-2,-7) Matrix(7237,11664,2748,4429) -> Matrix(3,8,-2,-5) Matrix(179,288,156,251) -> Matrix(1,2,0,1) Matrix(361,576,136,217) -> Matrix(1,2,2,5) Matrix(1223,1944,860,1367) -> Matrix(1,2,8,17) Matrix(613,972,432,685) -> Matrix(1,2,-6,-11) Matrix(433,684,-364,-575) -> Matrix(1,2,-2,-3) Matrix(251,396,296,467) -> Matrix(1,0,0,1) Matrix(827,1296,-1356,-2125) -> Matrix(1,0,0,1) Matrix(829,1296,300,469) -> Matrix(1,2,0,1) Matrix(325,504,256,397) -> Matrix(1,2,-2,-3) Matrix(71,108,-48,-73) -> Matrix(3,8,-2,-5) Matrix(1331,1944,-1800,-2629) -> Matrix(5,8,-2,-3) Matrix(2665,3888,1728,2521) -> Matrix(1,2,-2,-3) Matrix(791,1152,-940,-1369) -> Matrix(1,2,-2,-3) Matrix(397,576,224,325) -> Matrix(1,2,-2,-3) Matrix(899,1296,-1524,-2197) -> Matrix(1,2,-2,-3) Matrix(901,1296,276,397) -> Matrix(1,0,0,1) Matrix(935,1332,252,359) -> Matrix(1,2,2,5) Matrix(1367,1944,860,1223) -> Matrix(1,2,8,17) Matrix(685,972,432,613) -> Matrix(1,2,-6,-11) Matrix(179,252,76,107) -> Matrix(1,2,-2,-3) Matrix(181,252,-232,-323) -> Matrix(1,2,-2,-3) Matrix(287,396,208,287) -> Matrix(1,0,0,1) Matrix(577,792,840,1153) -> Matrix(1,2,0,1) Matrix(1943,2664,892,1223) -> Matrix(1,2,0,1) Matrix(973,1332,-1656,-2267) -> Matrix(1,0,0,1) Matrix(8531,11664,-14772,-20197) -> Matrix(11,14,-4,-5) Matrix(8533,11664,2292,3133) -> Matrix(3,2,4,3) Matrix(685,936,-816,-1115) -> Matrix(1,0,0,1) Matrix(3815,5184,-6624,-9001) -> Matrix(1,0,0,1) Matrix(3817,5184,1008,1369) -> Matrix(1,2,0,1) Matrix(107,144,-188,-253) -> Matrix(5,8,-2,-3) Matrix(109,144,28,37) -> Matrix(1,2,0,1) Matrix(251,324,-196,-253) -> Matrix(7,16,-4,-9) Matrix(3131,3996,2284,2915) -> Matrix(1,2,-4,-7) Matrix(2089,2664,396,505) -> Matrix(5,8,-2,-3) Matrix(397,504,256,325) -> Matrix(1,2,-2,-3) Matrix(143,180,228,287) -> Matrix(1,2,-2,-3) Matrix(757,936,-960,-1187) -> Matrix(1,0,0,1) Matrix(2159,2664,-3852,-4753) -> Matrix(7,16,-4,-9) Matrix(1081,1332,-1460,-1799) -> Matrix(5,8,-2,-3) Matrix(469,576,-732,-899) -> Matrix(1,0,0,1) Matrix(325,396,444,541) -> Matrix(1,2,-2,-3) Matrix(683,828,504,611) -> Matrix(3,4,2,3) Matrix(685,828,388,469) -> Matrix(3,4,-4,-5) Matrix(215,252,-308,-361) -> Matrix(1,0,0,1) Matrix(251,288,156,179) -> Matrix(1,2,0,1) Matrix(541,612,160,181) -> Matrix(1,2,0,1) Matrix(323,360,96,107) -> Matrix(1,2,-2,-3) Matrix(323,288,120,107) -> Matrix(1,2,0,1) Matrix(325,288,448,397) -> Matrix(1,2,0,1) Matrix(251,216,208,179) -> Matrix(3,4,-4,-5) Matrix(467,396,296,251) -> Matrix(1,0,0,1) Matrix(217,180,88,73) -> Matrix(1,0,0,1) Matrix(395,324,-484,-397) -> Matrix(1,-4,0,1) Matrix(4067,3312,-6588,-5365) -> Matrix(1,2,0,1) Matrix(1151,936,-1772,-1441) -> Matrix(1,0,0,1) Matrix(755,612,132,107) -> Matrix(1,2,0,1) Matrix(179,144,312,251) -> Matrix(1,2,0,1) Matrix(1549,1224,-2140,-1691) -> Matrix(1,0,0,1) Matrix(3563,2808,-6168,-4861) -> Matrix(1,-2,0,1) Matrix(1007,792,548,431) -> Matrix(1,2,0,1) Matrix(827,648,596,467) -> Matrix(3,4,-4,-5) Matrix(791,612,464,359) -> Matrix(1,0,0,1) Matrix(1259,972,1724,1331) -> Matrix(1,-4,0,1) Matrix(1729,1332,2992,2305) -> Matrix(1,4,0,1) Matrix(469,360,-796,-611) -> Matrix(1,0,0,1) Matrix(613,468,520,397) -> Matrix(1,0,0,1) Matrix(143,108,-192,-145) -> Matrix(1,-2,0,1) Matrix(9829,7272,4040,2989) -> Matrix(1,2,0,1) Matrix(685,504,-1124,-827) -> Matrix(1,0,0,1) Matrix(541,396,444,325) -> Matrix(1,2,-2,-3) Matrix(1331,972,1724,1259) -> Matrix(1,-4,0,1) Matrix(395,288,48,35) -> Matrix(1,6,0,1) Matrix(397,288,448,325) -> Matrix(1,2,0,1) Matrix(7451,5400,-12072,-8749) -> Matrix(3,8,-2,-5) Matrix(3925,2844,-7004,-5075) -> Matrix(11,24,-6,-13) Matrix(5075,3672,-8808,-6373) -> Matrix(1,0,0,1) Matrix(899,648,548,395) -> Matrix(1,2,0,1) Matrix(253,180,52,37) -> Matrix(1,0,0,1) Matrix(613,432,972,685) -> Matrix(1,2,0,1) Matrix(827,576,1084,755) -> Matrix(1,0,0,1) Matrix(467,324,-676,-469) -> Matrix(1,-2,0,1) Matrix(575,396,1044,719) -> Matrix(1,2,0,1) Matrix(1153,792,840,577) -> Matrix(1,2,0,1) Matrix(1945,1332,-3468,-2375) -> Matrix(11,24,-6,-13) Matrix(685,468,1108,757) -> Matrix(1,2,0,1) Matrix(1223,792,332,215) -> Matrix(1,2,0,1) Matrix(503,324,-784,-505) -> Matrix(3,8,-2,-5) Matrix(395,252,732,467) -> Matrix(1,2,0,1) Matrix(397,252,512,325) -> Matrix(1,0,0,1) Matrix(971,612,284,179) -> Matrix(1,2,0,1) Matrix(287,180,228,143) -> Matrix(1,2,-2,-3) Matrix(1043,648,404,251) -> Matrix(1,2,0,1) Matrix(757,468,1108,685) -> Matrix(1,2,0,1) Matrix(1981,1224,-3436,-2123) -> Matrix(1,0,0,1) Matrix(3673,2268,6648,4105) -> Matrix(1,2,-2,-3) Matrix(9683,5976,1340,827) -> Matrix(5,6,4,5) Matrix(469,288,412,253) -> Matrix(1,2,0,1) Matrix(647,396,116,71) -> Matrix(1,2,0,1) Matrix(4247,2592,1532,935) -> Matrix(1,2,0,1) Matrix(179,108,-300,-181) -> Matrix(3,8,-2,-5) Matrix(4609,2736,972,577) -> Matrix(17,20,-6,-7) Matrix(1943,1152,3520,2087) -> Matrix(1,0,0,1) Matrix(4391,2592,1340,791) -> Matrix(3,4,-4,-5) Matrix(1115,648,308,179) -> Matrix(1,2,0,1) Matrix(1369,792,624,361) -> Matrix(1,2,0,1) Matrix(685,396,64,37) -> Matrix(1,0,0,1) Matrix(40391,23328,10844,6263) -> Matrix(7,22,6,19) Matrix(1621,936,2932,1693) -> Matrix(1,2,0,1) Matrix(8749,5040,2064,1189) -> Matrix(1,4,0,1) Matrix(251,144,312,179) -> Matrix(1,2,0,1) Matrix(1081,612,892,505) -> Matrix(5,12,-8,-19) Matrix(575,324,-1024,-577) -> Matrix(19,40,-10,-21) Matrix(323,180,192,107) -> Matrix(1,2,-2,-3) Matrix(1693,936,2932,1621) -> Matrix(1,2,0,1) Matrix(2411,1332,324,179) -> Matrix(3,4,2,3) Matrix(5543,3060,1172,647) -> Matrix(7,4,-2,-1) Matrix(1045,576,1504,829) -> Matrix(1,0,0,1) Matrix(721,396,264,145) -> Matrix(1,2,0,1) Matrix(397,216,68,37) -> Matrix(1,2,0,1) Matrix(865,468,268,145) -> Matrix(1,2,0,1) Matrix(541,288,340,181) -> Matrix(1,2,4,9) Matrix(1,0,4,1) -> Matrix(1,2,-2,-3) Matrix(539,-288,204,-109) -> Matrix(1,0,-2,1) Matrix(577,-324,1024,-575) -> Matrix(1,0,10,1) Matrix(5039,-2844,4084,-2305) -> Matrix(1,0,-6,1) Matrix(6121,-3456,1656,-935) -> Matrix(1,0,-6,1) Matrix(253,-144,188,-107) -> Matrix(1,0,-2,1) Matrix(2123,-1224,3436,-1981) -> Matrix(1,0,0,1) Matrix(3241,-1872,2616,-1511) -> Matrix(1,-2,0,1) Matrix(683,-396,188,-109) -> Matrix(1,0,0,1) Matrix(431,-252,248,-145) -> Matrix(1,0,0,1) Matrix(611,-360,796,-469) -> Matrix(1,0,0,1) Matrix(973,-576,424,-251) -> Matrix(1,0,0,1) Matrix(829,-504,176,-107) -> Matrix(1,-4,0,1) Matrix(827,-504,1124,-685) -> Matrix(1,0,0,1) Matrix(1585,-972,468,-287) -> Matrix(1,0,0,1) Matrix(467,-288,60,-37) -> Matrix(1,2,0,1) Matrix(6407,-3960,1516,-937) -> Matrix(1,2,0,1) Matrix(755,-468,292,-181) -> Matrix(1,0,0,1) Matrix(683,-432,400,-253) -> Matrix(1,0,0,1) Matrix(901,-576,280,-179) -> Matrix(1,0,0,1) Matrix(899,-576,732,-469) -> Matrix(1,0,0,1) Matrix(613,-396,500,-323) -> Matrix(1,0,-2,1) Matrix(719,-468,444,-289) -> Matrix(1,0,0,1) Matrix(3887,-2664,1052,-721) -> Matrix(1,0,-2,1) Matrix(469,-324,676,-467) -> Matrix(1,-2,0,1) Matrix(361,-252,308,-215) -> Matrix(1,0,0,1) Matrix(359,-252,104,-73) -> Matrix(1,0,0,1) Matrix(611,-432,256,-181) -> Matrix(1,0,0,1) Matrix(251,-180,152,-109) -> Matrix(1,0,0,1) Matrix(647,-468,300,-217) -> Matrix(1,0,0,1) Matrix(3131,-2268,2536,-1837) -> Matrix(1,0,-2,1) Matrix(2881,-2088,396,-287) -> Matrix(3,-2,2,-1) Matrix(1765,-1296,636,-467) -> Matrix(1,0,0,1) Matrix(829,-612,340,-251) -> Matrix(1,0,0,1) Matrix(1043,-792,428,-325) -> Matrix(1,2,0,1) Matrix(1693,-1296,516,-395) -> Matrix(1,2,-2,-3) Matrix(467,-360,48,-37) -> Matrix(1,-4,0,1) Matrix(323,-252,232,-181) -> Matrix(1,2,-2,-3) Matrix(1691,-1332,504,-397) -> Matrix(1,0,0,1) Matrix(1187,-936,960,-757) -> Matrix(1,0,0,1) Matrix(181,-144,44,-35) -> Matrix(1,2,0,1) Matrix(397,-324,484,-395) -> Matrix(1,-4,0,1) Matrix(3635,-2988,1972,-1621) -> Matrix(1,4,0,1) Matrix(1619,-1332,220,-181) -> Matrix(1,4,0,1) Matrix(683,-576,300,-253) -> Matrix(1,0,0,1) Matrix(289,-252,164,-143) -> Matrix(1,0,0,1) Matrix(395,-468,92,-109) -> Matrix(1,4,0,1) Matrix(2629,-3240,1080,-1331) -> Matrix(1,0,2,1) Matrix(3889,-4824,1044,-1295) -> Matrix(3,4,2,3) Matrix(253,-324,196,-251) -> Matrix(1,0,4,1) Matrix(2557,-3312,972,-1259) -> Matrix(1,0,-2,1) Matrix(721,-936,332,-431) -> Matrix(1,0,0,1) Matrix(359,-468,56,-73) -> Matrix(1,0,0,1) Matrix(899,-1224,556,-757) -> Matrix(1,0,0,1) Matrix(2161,-2952,948,-1295) -> Matrix(1,0,0,1) Matrix(2053,-2808,552,-755) -> Matrix(1,0,2,1) Matrix(2629,-3600,972,-1331) -> Matrix(1,0,0,1) Matrix(251,-360,76,-109) -> Matrix(1,0,0,1) Matrix(73,-108,48,-71) -> Matrix(1,0,2,1) Matrix(2593,-3996,560,-863) -> Matrix(1,-6,0,1) Matrix(1585,-2448,652,-1007) -> Matrix(1,0,0,1) Matrix(323,-504,116,-181) -> Matrix(1,0,0,1) Matrix(683,-1080,160,-253) -> Matrix(5,2,2,1) Matrix(3349,-5400,1272,-2051) -> Matrix(1,-2,0,1) Matrix(1763,-2844,380,-613) -> Matrix(1,-6,0,1) Matrix(2269,-3672,600,-971) -> Matrix(1,0,0,1) Matrix(2375,-3852,1288,-2089) -> Matrix(1,0,0,1) Matrix(791,-1368,292,-505) -> Matrix(1,0,0,1) Matrix(181,-324,100,-179) -> Matrix(1,0,2,1) Matrix(719,-1332,156,-289) -> Matrix(1,-6,0,1) Matrix(287,-612,68,-145) -> Matrix(1,2,0,1) Matrix(145,-324,64,-143) -> Matrix(1,-2,0,1) Matrix(2557,-5832,552,-1259) -> Matrix(1,-4,0,1) Matrix(1115,-2556,236,-541) -> Matrix(7,4,-2,-1) Matrix(467,-1224,124,-325) -> Matrix(1,0,0,1) Matrix(683,-1800,96,-253) -> Matrix(1,0,2,1) Matrix(1081,-2916,400,-1079) -> Matrix(1,-2,0,1) Matrix(251,-684,40,-109) -> Matrix(1,0,0,1) Matrix(37,-108,12,-35) -> Matrix(1,-2,0,1) Matrix(2197,-6984,464,-1475) -> Matrix(31,28,-10,-9) Matrix(1405,-5328,332,-1259) -> Matrix(1,2,0,1) Matrix(73,-324,16,-71) -> Matrix(1,-10,0,1) 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): 48 Degree of the the map X: 48 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. ----------------------------------------------------------------------- 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): 864 Minimal number of generators: 145 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: 64 Genus: 41 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -8/1 -6/1 -16/3 -14/3 -9/2 -4/1 -15/4 -27/8 -10/3 -3/1 -12/5 -9/4 -24/11 -2/1 -9/5 -27/17 -3/2 -15/11 -9/7 -6/5 -9/8 0/1 1/1 6/5 9/7 15/11 18/13 3/2 54/35 18/11 9/5 2/1 24/11 9/4 12/5 5/2 18/7 108/41 36/13 3/1 54/17 36/11 10/3 7/2 18/5 11/3 108/29 15/4 72/19 4/1 17/4 13/3 9/2 14/3 5/1 16/3 11/2 17/3 6/1 13/2 7/1 8/1 9/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -8/1 -5/1 -7/1 -3/1 -1/1 -13/2 -2/1 -6/1 -3/1 -1/1 -11/2 -2/1 -16/3 -1/1 -37/7 -1/1 -3/5 -21/4 1/0 -5/1 -1/1 1/1 -14/3 2/1 1/0 -9/2 1/0 -22/5 -8/1 1/0 -35/8 1/0 -13/3 -7/1 -5/1 -17/4 1/0 -4/1 -3/1 -19/5 -3/1 -1/1 -15/4 1/0 -41/11 -5/1 -3/1 -26/7 -5/2 -2/1 -37/10 -2/1 -11/3 -3/1 -1/1 -18/5 -3/1 -1/1 -7/2 -2/1 -17/5 -3/1 -1/1 -27/8 -2/1 -37/11 -5/3 -1/1 -10/3 -2/1 1/0 -13/4 1/0 -16/5 -1/1 -3/1 1/0 -20/7 -3/1 -37/13 -29/9 -3/1 -54/19 -3/1 -17/6 -8/3 -14/5 -2/1 1/0 -11/4 1/0 -30/11 -3/1 -1/1 -19/7 -3/1 -1/1 -27/10 1/0 -8/3 -3/1 -29/11 -5/3 -1/1 -50/19 -2/1 1/0 -21/8 1/0 -55/21 -3/1 -1/1 -34/13 -2/1 1/0 -13/5 -3/1 -1/1 -18/7 -3/1 -1/1 -5/2 -2/1 -17/7 -3/1 -1/1 -12/5 -3/1 -1/1 -19/8 -5/2 -7/3 -3/1 -1/1 -23/10 -2/1 -16/7 -1/1 -9/4 1/0 -20/9 -3/1 -11/5 -3/1 -1/1 -35/16 1/0 -24/11 -3/1 -13/6 -2/1 -2/1 -2/1 1/0 -13/7 -3/1 -1/1 -37/20 1/0 -24/13 -3/1 -11/6 -2/1 -9/5 -2/1 -25/14 -2/1 -16/9 -1/1 -23/13 -3/1 -1/1 -7/4 1/0 -19/11 -3/1 -1/1 -12/7 -3/1 -1/1 -17/10 -4/1 -22/13 -5/2 -2/1 -5/3 -3/1 -1/1 -18/11 -3/1 -1/1 -13/8 1/0 -34/21 -2/1 1/0 -21/13 1/0 -71/44 1/0 -50/31 -4/1 1/0 -79/49 -11/3 -3/1 -108/67 -3/1 -29/18 -2/1 -8/5 -3/1 -35/22 -2/1 -27/17 -2/1 -19/12 -3/2 -11/7 -3/1 -1/1 -36/23 -3/1 -1/1 -25/16 1/0 -14/9 -2/1 1/0 -17/11 -3/1 -1/1 -3/2 -2/1 -19/13 -5/3 -1/1 -54/37 -5/3 -1/1 -35/24 -3/2 -16/11 -1/1 -13/9 -5/3 -1/1 -36/25 -1/1 -23/16 1/0 -10/7 -2/1 1/0 -37/26 -2/1 -27/19 -2/1 -17/12 -7/4 -7/5 -5/3 -1/1 -18/13 -1/1 -11/8 1/0 -48/35 -1/1 -37/27 -1/1 1/1 -26/19 -2/1 1/0 -67/49 -7/5 -1/1 -108/79 -1/1 -41/30 0/1 -15/11 1/0 -34/25 -2/1 1/0 -53/39 -3/1 -1/1 -72/53 -3/1 -1/1 -19/14 -2/1 -4/3 -1/1 -17/13 -3/1 -1/1 -30/23 -3/1 -1/1 -13/10 -2/1 -9/7 -2/1 -23/18 -2/1 -60/47 -5/3 -37/29 -19/11 -5/3 -51/40 -3/2 -14/11 -2/1 -3/2 -19/15 -5/3 -1/1 -5/4 -3/2 -21/17 -2/1 -37/30 -2/1 -16/13 -1/1 -11/9 -5/3 -1/1 -17/14 -4/3 -6/5 -1/1 -19/16 1/0 -13/11 -3/1 -1/1 -7/6 -2/1 -8/7 -1/1 -9/8 -2/1 -1/1 -3/1 -1/1 0/1 -1/1 1/1 -1/1 1/1 8/7 -1/1 7/6 0/1 13/11 -1/1 1/1 6/5 -1/1 11/9 -1/1 -1/3 16/13 -1/1 37/30 0/1 21/17 0/1 5/4 -1/2 14/11 -1/2 0/1 9/7 0/1 22/17 0/1 1/2 35/27 1/1 3/1 13/10 0/1 17/13 -1/1 1/1 4/3 -1/1 19/14 0/1 15/11 1/0 41/30 -2/1 26/19 0/1 1/0 37/27 -3/1 -1/1 11/8 1/0 18/13 -1/1 7/5 -1/1 -1/3 17/12 -1/4 27/19 0/1 37/26 0/1 10/7 0/1 1/0 13/9 -1/1 -1/3 16/11 -1/1 3/2 0/1 20/13 1/1 37/24 1/0 54/35 -1/1 1/1 17/11 -1/1 1/1 14/9 0/1 1/0 11/7 -1/1 1/1 30/19 -1/1 19/12 -1/2 27/17 0/1 8/5 1/1 29/18 0/1 50/31 2/1 1/0 21/13 1/0 55/34 0/1 34/21 0/1 1/0 13/8 1/0 18/11 -1/1 1/1 5/3 -1/1 1/1 17/10 2/1 12/7 -1/1 1/1 19/11 -1/1 1/1 7/4 1/0 23/13 -1/1 1/1 16/9 -1/1 9/5 0/1 20/11 1/1 11/6 0/1 35/19 1/3 1/1 24/13 1/1 13/7 -1/1 1/1 2/1 0/1 1/0 13/6 0/1 37/17 1/1 3/1 24/11 1/1 11/5 -1/1 1/1 9/4 1/0 25/11 -3/1 -1/1 16/7 -1/1 23/10 0/1 7/3 -1/1 1/1 19/8 1/2 12/5 -1/1 1/1 17/7 -1/1 1/1 22/9 0/1 1/0 5/2 0/1 18/7 -1/1 1/1 13/5 -1/1 1/1 34/13 0/1 1/0 21/8 1/0 71/27 -1/1 -3/5 50/19 0/1 1/0 79/30 -2/1 108/41 -1/1 29/11 -1/1 -1/3 8/3 1/1 35/13 -1/1 1/1 27/10 1/0 19/7 -1/1 1/1 11/4 1/0 36/13 -1/1 1/1 25/9 -1/1 1/1 14/5 0/1 1/0 17/6 2/3 3/1 1/0 19/6 -4/3 54/17 -1/1 35/11 -1/1 -7/9 16/5 -1/1 13/4 1/0 36/11 -1/1 23/7 -1/1 -1/3 10/3 0/1 1/0 37/11 -1/1 -1/3 27/8 0/1 17/5 -1/1 1/1 7/2 0/1 18/5 -1/1 1/1 11/3 -1/1 1/1 48/13 -1/1 37/10 0/1 26/7 0/1 1/2 67/18 2/3 108/29 1/1 41/11 1/1 3/1 15/4 1/0 34/9 0/1 1/0 53/14 0/1 72/19 -1/1 1/1 19/5 -1/1 1/1 4/1 1/1 17/4 1/0 30/7 3/1 13/3 3/1 5/1 9/2 1/0 23/5 -7/1 -5/1 60/13 -5/1 37/8 1/0 51/11 1/0 14/3 -4/1 1/0 19/4 -5/2 5/1 -3/1 -1/1 21/4 1/0 37/7 -7/5 -1/1 16/3 -1/1 11/2 0/1 17/3 -1/1 1/1 6/1 -1/1 1/1 19/3 -1/1 1/1 13/2 0/1 7/1 -1/1 1/1 8/1 3/1 9/1 1/0 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(35,288,-22,-181) (-8/1,1/0) -> (-8/5,-35/22) Hyperbolic Matrix(37,288,14,109) (-8/1,-7/1) -> (29/11,8/3) Hyperbolic Matrix(37,252,16,109) (-7/1,-13/2) -> (23/10,7/3) Hyperbolic Matrix(73,468,-56,-359) (-13/2,-6/1) -> (-30/23,-13/10) Hyperbolic Matrix(71,396,-26,-145) (-6/1,-11/2) -> (-11/4,-30/11) Hyperbolic Matrix(73,396,40,217) (-11/2,-16/3) -> (20/11,11/6) Hyperbolic Matrix(217,1152,68,361) (-16/3,-37/7) -> (35/11,16/5) Hyperbolic Matrix(431,2268,164,863) (-37/7,-21/4) -> (21/8,71/27) Hyperbolic Matrix(179,936,48,251) (-21/4,-5/1) -> (41/11,15/4) Hyperbolic Matrix(37,180,-22,-107) (-5/1,-14/3) -> (-22/13,-5/3) Hyperbolic Matrix(71,324,-16,-73) (-14/3,-9/2) -> (-9/2,-22/5) Parabolic Matrix(755,3312,-468,-2053) (-22/5,-35/8) -> (-71/44,-50/31) Hyperbolic Matrix(215,936,-116,-505) (-35/8,-13/3) -> (-13/7,-37/20) Hyperbolic Matrix(109,468,-92,-395) (-13/3,-17/4) -> (-19/16,-13/11) Hyperbolic Matrix(35,144,26,107) (-17/4,-4/1) -> (4/3,19/14) Hyperbolic Matrix(37,144,28,109) (-4/1,-19/5) -> (17/13,4/3) Hyperbolic Matrix(325,1224,-124,-467) (-19/5,-15/4) -> (-21/8,-55/21) Hyperbolic Matrix(251,936,48,179) (-15/4,-41/11) -> (5/1,21/4) Hyperbolic Matrix(755,2808,-552,-2053) (-41/11,-26/7) -> (-26/19,-67/49) Hyperbolic Matrix(359,1332,252,935) (-26/7,-37/10) -> (37/26,10/7) Hyperbolic Matrix(215,792,-98,-361) (-37/10,-11/3) -> (-11/5,-35/16) Hyperbolic Matrix(109,396,30,109) (-11/3,-18/5) -> (18/5,11/3) Hyperbolic Matrix(71,252,20,71) (-18/5,-7/2) -> (7/2,18/5) Hyperbolic Matrix(73,252,42,145) (-7/2,-17/5) -> (19/11,7/4) Hyperbolic Matrix(287,972,106,359) (-17/5,-27/8) -> (27/10,19/7) Hyperbolic Matrix(577,1944,214,721) (-27/8,-37/11) -> (35/13,27/10) Hyperbolic Matrix(397,1332,290,973) (-37/11,-10/3) -> (26/19,37/27) Hyperbolic Matrix(109,360,-76,-251) (-10/3,-13/4) -> (-23/16,-10/7) Hyperbolic Matrix(179,576,78,251) (-13/4,-16/5) -> (16/7,23/10) Hyperbolic Matrix(35,108,-12,-37) (-16/5,-3/1) -> (-3/1,-20/7) Parabolic Matrix(467,1332,88,251) (-20/7,-37/13) -> (37/7,16/3) Hyperbolic Matrix(1367,3888,430,1223) (-37/13,-54/19) -> (54/17,35/11) Hyperbolic Matrix(685,1944,216,613) (-54/19,-17/6) -> (19/6,54/17) Hyperbolic Matrix(179,504,38,107) (-17/6,-14/5) -> (14/3,19/4) Hyperbolic Matrix(181,504,-116,-323) (-14/5,-11/4) -> (-25/16,-14/9) Hyperbolic Matrix(397,1080,-304,-827) (-30/11,-19/7) -> (-17/13,-30/23) Hyperbolic Matrix(359,972,106,287) (-19/7,-27/10) -> (27/8,17/5) Hyperbolic Matrix(107,288,-94,-253) (-27/10,-8/3) -> (-8/7,-9/8) Hyperbolic Matrix(109,288,14,37) (-8/3,-29/11) -> (7/1,8/1) Hyperbolic Matrix(2051,5400,-1272,-3349) (-29/11,-50/19) -> (-50/31,-79/49) Hyperbolic Matrix(1081,2844,-848,-2231) (-50/19,-21/8) -> (-51/40,-14/11) Hyperbolic Matrix(1403,3672,-1032,-2701) (-55/21,-34/13) -> (-34/25,-53/39) Hyperbolic Matrix(179,468,96,251) (-34/13,-13/5) -> (13/7,2/1) Hyperbolic Matrix(181,468,70,181) (-13/5,-18/7) -> (18/7,13/5) Hyperbolic Matrix(71,180,28,71) (-18/7,-5/2) -> (5/2,18/7) Hyperbolic Matrix(73,180,-58,-143) (-5/2,-17/7) -> (-19/15,-5/4) Hyperbolic Matrix(179,432,104,251) (-17/7,-12/5) -> (12/7,19/11) Hyperbolic Matrix(181,432,106,253) (-12/5,-19/8) -> (17/10,12/7) Hyperbolic Matrix(107,252,76,179) (-19/8,-7/3) -> (7/5,17/12) Hyperbolic Matrix(109,252,16,37) (-7/3,-23/10) -> (13/2,7/1) Hyperbolic Matrix(251,576,78,179) (-23/10,-16/7) -> (16/5,13/4) Hyperbolic Matrix(143,324,-64,-145) (-16/7,-9/4) -> (-9/4,-20/9) Parabolic Matrix(179,396,146,323) (-20/9,-11/5) -> (11/9,16/13) Hyperbolic Matrix(1367,2988,296,647) (-35/16,-24/11) -> (60/13,37/8) Hyperbolic Matrix(613,1332,-480,-1043) (-24/11,-13/6) -> (-23/18,-60/47) Hyperbolic Matrix(217,468,134,289) (-13/6,-2/1) -> (34/21,13/8) Hyperbolic Matrix(251,468,96,179) (-2/1,-13/7) -> (13/5,34/13) Hyperbolic Matrix(1441,2664,390,721) (-37/20,-24/13) -> (48/13,37/10) Hyperbolic Matrix(431,792,-314,-577) (-24/13,-11/6) -> (-11/8,-48/35) Hyperbolic Matrix(179,324,-100,-181) (-11/6,-9/5) -> (-9/5,-25/14) Parabolic Matrix(323,576,60,107) (-25/14,-16/9) -> (16/3,11/2) Hyperbolic Matrix(325,576,224,397) (-16/9,-23/13) -> (13/9,16/11) Hyperbolic Matrix(143,252,122,215) (-23/13,-7/4) -> (7/6,13/11) Hyperbolic Matrix(145,252,42,73) (-7/4,-19/11) -> (17/5,7/2) Hyperbolic Matrix(251,432,104,179) (-19/11,-12/7) -> (12/5,17/7) Hyperbolic Matrix(253,432,106,181) (-12/7,-17/10) -> (19/8,12/5) Hyperbolic Matrix(361,612,128,217) (-17/10,-22/13) -> (14/5,17/6) Hyperbolic Matrix(109,180,66,109) (-5/3,-18/11) -> (18/11,5/3) Hyperbolic Matrix(287,468,176,287) (-18/11,-13/8) -> (13/8,18/11) Hyperbolic Matrix(289,468,134,217) (-13/8,-34/21) -> (2/1,13/6) Hyperbolic Matrix(757,1224,-556,-899) (-34/21,-21/13) -> (-15/11,-34/25) Hyperbolic Matrix(1405,2268,1138,1837) (-21/13,-71/44) -> (37/30,21/17) Hyperbolic Matrix(7235,11664,2746,4427) (-79/49,-108/67) -> (108/41,29/11) Hyperbolic Matrix(7237,11664,2748,4429) (-108/67,-29/18) -> (79/30,108/41) Hyperbolic Matrix(179,288,156,251) (-29/18,-8/5) -> (8/7,7/6) Hyperbolic Matrix(1223,1944,860,1367) (-35/22,-27/17) -> (27/19,37/26) Hyperbolic Matrix(613,972,432,685) (-27/17,-19/12) -> (17/12,27/19) Hyperbolic Matrix(251,396,-206,-325) (-19/12,-11/7) -> (-11/9,-17/14) Hyperbolic Matrix(827,1296,298,467) (-11/7,-36/23) -> (36/13,25/9) Hyperbolic Matrix(829,1296,300,469) (-36/23,-25/16) -> (11/4,36/13) Hyperbolic Matrix(395,612,162,251) (-14/9,-17/11) -> (17/7,22/9) Hyperbolic Matrix(71,108,-48,-73) (-17/11,-3/2) -> (-3/2,-19/13) Parabolic Matrix(1331,1944,862,1259) (-19/13,-54/37) -> (54/35,17/11) Hyperbolic Matrix(2665,3888,1728,2521) (-54/37,-35/24) -> (37/24,54/35) Hyperbolic Matrix(791,1152,642,935) (-35/24,-16/11) -> (16/13,37/30) Hyperbolic Matrix(397,576,224,325) (-16/11,-13/9) -> (23/13,16/9) Hyperbolic Matrix(899,1296,274,395) (-13/9,-36/25) -> (36/11,23/7) Hyperbolic Matrix(901,1296,276,397) (-36/25,-23/16) -> (13/4,36/11) Hyperbolic Matrix(935,1332,252,359) (-10/7,-37/26) -> (37/10,26/7) Hyperbolic Matrix(253,360,26,37) (-37/26,-27/19) -> (9/1,1/0) Hyperbolic Matrix(685,972,432,613) (-27/19,-17/12) -> (19/12,27/17) Hyperbolic Matrix(179,252,76,107) (-17/12,-7/5) -> (7/3,19/8) Hyperbolic Matrix(181,252,130,181) (-7/5,-18/13) -> (18/13,7/5) Hyperbolic Matrix(287,396,208,287) (-18/13,-11/8) -> (11/8,18/13) Hyperbolic Matrix(1943,2664,892,1223) (-48/35,-37/27) -> (37/17,24/11) Hyperbolic Matrix(973,1332,290,397) (-37/27,-26/19) -> (10/3,37/11) Hyperbolic Matrix(8531,11664,2290,3131) (-67/49,-108/79) -> (108/29,41/11) Hyperbolic Matrix(8533,11664,2292,3133) (-108/79,-41/30) -> (67/18,108/29) Hyperbolic Matrix(685,936,554,757) (-41/30,-15/11) -> (21/17,5/4) Hyperbolic Matrix(3815,5184,1006,1367) (-53/39,-72/53) -> (72/19,19/5) Hyperbolic Matrix(3817,5184,1008,1369) (-72/53,-19/14) -> (53/14,72/19) Hyperbolic Matrix(107,144,26,35) (-19/14,-4/3) -> (4/1,17/4) Hyperbolic Matrix(109,144,28,37) (-4/3,-17/13) -> (19/5,4/1) Hyperbolic Matrix(251,324,-196,-253) (-13/10,-9/7) -> (-9/7,-23/18) Parabolic Matrix(2341,2988,1270,1621) (-60/47,-37/29) -> (35/19,24/13) Hyperbolic Matrix(2089,2664,396,505) (-37/29,-51/40) -> (21/4,37/7) Hyperbolic Matrix(397,504,256,325) (-14/11,-19/15) -> (17/11,14/9) Hyperbolic Matrix(757,936,554,685) (-5/4,-21/17) -> (15/11,41/30) Hyperbolic Matrix(2159,2664,466,575) (-21/17,-37/30) -> (37/8,51/11) Hyperbolic Matrix(1081,1332,702,865) (-37/30,-16/13) -> (20/13,37/24) Hyperbolic Matrix(469,576,206,253) (-16/13,-11/9) -> (25/11,16/7) Hyperbolic Matrix(179,216,-150,-181) (-17/14,-6/5) -> (-6/5,-19/16) Parabolic Matrix(215,252,122,143) (-13/11,-7/6) -> (7/4,23/13) Hyperbolic Matrix(251,288,156,179) (-7/6,-8/7) -> (8/5,29/18) Hyperbolic Matrix(323,360,96,107) (-9/8,-1/1) -> (37/11,27/8) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(253,-288,94,-107) (1/1,8/7) -> (8/3,35/13) Hyperbolic Matrix(395,-468,92,-109) (13/11,6/5) -> (30/7,13/3) Hyperbolic Matrix(325,-396,206,-251) (6/5,11/9) -> (11/7,30/19) Hyperbolic Matrix(143,-180,58,-73) (5/4,14/11) -> (22/9,5/2) Hyperbolic Matrix(253,-324,196,-251) (14/11,9/7) -> (9/7,22/17) Parabolic Matrix(2557,-3312,972,-1259) (22/17,35/27) -> (71/27,50/19) Hyperbolic Matrix(721,-936,332,-431) (35/27,13/10) -> (13/6,37/17) Hyperbolic Matrix(359,-468,56,-73) (13/10,17/13) -> (19/3,13/2) Hyperbolic Matrix(899,-1224,556,-757) (19/14,15/11) -> (21/13,55/34) Hyperbolic Matrix(2053,-2808,552,-755) (41/30,26/19) -> (26/7,67/18) Hyperbolic Matrix(577,-792,314,-431) (37/27,11/8) -> (11/6,35/19) Hyperbolic Matrix(251,-360,76,-109) (10/7,13/9) -> (23/7,10/3) Hyperbolic Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(323,-504,116,-181) (14/9,11/7) -> (25/9,14/5) Hyperbolic Matrix(683,-1080,160,-253) (30/19,19/12) -> (17/4,30/7) Hyperbolic Matrix(181,-288,22,-35) (27/17,8/5) -> (8/1,9/1) Hyperbolic Matrix(3349,-5400,1272,-2051) (29/18,50/31) -> (50/19,79/30) Hyperbolic Matrix(1763,-2844,380,-613) (50/31,21/13) -> (51/11,14/3) Hyperbolic Matrix(2269,-3672,600,-971) (55/34,34/21) -> (34/9,53/14) Hyperbolic Matrix(107,-180,22,-37) (5/3,17/10) -> (19/4,5/1) Hyperbolic Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(719,-1332,156,-289) (24/13,13/7) -> (23/5,60/13) Hyperbolic Matrix(361,-792,98,-215) (24/11,11/5) -> (11/3,48/13) Hyperbolic Matrix(145,-324,64,-143) (11/5,9/4) -> (9/4,25/11) Parabolic Matrix(467,-1224,124,-325) (34/13,21/8) -> (15/4,34/9) Hyperbolic Matrix(145,-396,26,-71) (19/7,11/4) -> (11/2,17/3) Hyperbolic Matrix(37,-108,12,-35) (17/6,3/1) -> (3/1,19/6) Parabolic Matrix(73,-324,16,-71) (13/3,9/2) -> (9/2,23/5) Parabolic Matrix(37,-216,6,-35) (17/3,6/1) -> (6/1,19/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(35,288,-22,-181) -> Matrix(2,13,-1,-6) Matrix(37,288,14,109) -> Matrix(0,-1,1,4) Matrix(37,252,16,109) -> Matrix(1,2,0,1) Matrix(73,468,-56,-359) -> Matrix(1,0,0,1) Matrix(71,396,-26,-145) -> Matrix(2,5,-1,-2) Matrix(73,396,40,217) -> Matrix(1,2,0,1) Matrix(217,1152,68,361) -> Matrix(1,2,-2,-3) Matrix(431,2268,164,863) -> Matrix(1,0,0,1) Matrix(179,936,48,251) -> Matrix(1,2,0,1) Matrix(37,180,-22,-107) -> Matrix(2,1,-1,0) Matrix(71,324,-16,-73) -> Matrix(1,-10,0,1) Matrix(755,3312,-468,-2053) -> Matrix(1,4,0,1) Matrix(215,936,-116,-505) -> Matrix(1,4,0,1) Matrix(109,468,-92,-395) -> Matrix(1,4,0,1) Matrix(35,144,26,107) -> Matrix(0,-1,1,4) Matrix(37,144,28,109) -> Matrix(1,2,0,1) Matrix(325,1224,-124,-467) -> Matrix(1,0,0,1) Matrix(251,936,48,179) -> Matrix(1,2,0,1) Matrix(755,2808,-552,-2053) -> Matrix(3,8,-2,-5) Matrix(359,1332,252,935) -> Matrix(1,2,2,5) Matrix(215,792,-98,-361) -> Matrix(2,5,-1,-2) Matrix(109,396,30,109) -> Matrix(0,-1,1,2) Matrix(71,252,20,71) -> Matrix(1,2,0,1) Matrix(73,252,42,145) -> Matrix(0,-1,1,2) Matrix(287,972,106,359) -> Matrix(0,-1,1,2) Matrix(577,1944,214,721) -> Matrix(2,3,1,2) Matrix(397,1332,290,973) -> Matrix(0,-1,1,2) Matrix(109,360,-76,-251) -> Matrix(1,0,0,1) Matrix(179,576,78,251) -> Matrix(0,-1,1,2) Matrix(35,108,-12,-37) -> Matrix(1,-2,0,1) Matrix(467,1332,88,251) -> Matrix(1,4,-2,-7) Matrix(1367,3888,430,1223) -> Matrix(8,25,-9,-28) Matrix(685,1944,216,613) -> Matrix(7,20,-6,-17) Matrix(179,504,38,107) -> Matrix(4,9,-1,-2) Matrix(181,504,-116,-323) -> Matrix(1,0,0,1) Matrix(397,1080,-304,-827) -> Matrix(1,0,0,1) Matrix(359,972,106,287) -> Matrix(0,-1,1,2) Matrix(107,288,-94,-253) -> Matrix(2,5,-1,-2) Matrix(109,288,14,37) -> Matrix(2,3,1,2) Matrix(2051,5400,-1272,-3349) -> Matrix(1,-2,0,1) Matrix(1081,2844,-848,-2231) -> Matrix(3,8,-2,-5) Matrix(1403,3672,-1032,-2701) -> Matrix(1,0,0,1) Matrix(179,468,96,251) -> Matrix(1,2,0,1) Matrix(181,468,70,181) -> Matrix(0,-1,1,2) Matrix(71,180,28,71) -> Matrix(1,2,0,1) Matrix(73,180,-58,-143) -> Matrix(2,1,-1,0) Matrix(179,432,104,251) -> Matrix(1,2,0,1) Matrix(181,432,106,253) -> Matrix(0,-1,1,2) Matrix(107,252,76,179) -> Matrix(1,2,-2,-3) Matrix(109,252,16,37) -> Matrix(1,2,0,1) Matrix(251,576,78,179) -> Matrix(0,-1,1,2) Matrix(143,324,-64,-145) -> Matrix(1,-2,0,1) Matrix(179,396,146,323) -> Matrix(0,-1,1,4) Matrix(1367,2988,296,647) -> Matrix(1,-2,0,1) Matrix(613,1332,-480,-1043) -> Matrix(7,16,-4,-9) Matrix(217,468,134,289) -> Matrix(0,-1,1,2) Matrix(251,468,96,179) -> Matrix(1,2,0,1) Matrix(1441,2664,390,721) -> Matrix(0,-1,1,4) Matrix(431,792,-314,-577) -> Matrix(2,5,-1,-2) Matrix(179,324,-100,-181) -> Matrix(3,8,-2,-5) Matrix(323,576,60,107) -> Matrix(1,2,-2,-3) Matrix(325,576,224,397) -> Matrix(1,2,-2,-3) Matrix(143,252,122,215) -> Matrix(0,-1,1,2) Matrix(145,252,42,73) -> Matrix(0,-1,1,2) Matrix(251,432,104,179) -> Matrix(1,2,0,1) Matrix(253,432,106,181) -> Matrix(0,-1,1,2) Matrix(361,612,128,217) -> Matrix(1,2,2,5) Matrix(109,180,66,109) -> Matrix(0,-1,1,2) Matrix(287,468,176,287) -> Matrix(1,2,0,1) Matrix(289,468,134,217) -> Matrix(0,-1,1,2) Matrix(757,1224,-556,-899) -> Matrix(1,0,0,1) Matrix(1405,2268,1138,1837) -> Matrix(0,-1,1,4) Matrix(7235,11664,2746,4427) -> Matrix(2,7,-3,-10) Matrix(7237,11664,2748,4429) -> Matrix(3,8,-2,-5) Matrix(179,288,156,251) -> Matrix(1,2,0,1) Matrix(1223,1944,860,1367) -> Matrix(1,2,8,17) Matrix(613,972,432,685) -> Matrix(1,2,-6,-11) Matrix(251,396,-206,-325) -> Matrix(2,1,-1,0) Matrix(827,1296,298,467) -> Matrix(0,-1,1,2) Matrix(829,1296,300,469) -> Matrix(1,2,0,1) Matrix(395,612,162,251) -> Matrix(0,-1,1,2) Matrix(71,108,-48,-73) -> Matrix(3,8,-2,-5) Matrix(1331,1944,862,1259) -> Matrix(2,3,1,2) Matrix(2665,3888,1728,2521) -> Matrix(1,2,-2,-3) Matrix(791,1152,642,935) -> Matrix(2,3,-3,-4) Matrix(397,576,224,325) -> Matrix(1,2,-2,-3) Matrix(899,1296,274,395) -> Matrix(2,3,-3,-4) Matrix(901,1296,276,397) -> Matrix(1,0,0,1) Matrix(935,1332,252,359) -> Matrix(1,2,2,5) Matrix(253,360,26,37) -> Matrix(4,9,-1,-2) Matrix(685,972,432,613) -> Matrix(1,2,-6,-11) Matrix(179,252,76,107) -> Matrix(1,2,-2,-3) Matrix(181,252,130,181) -> Matrix(2,3,-3,-4) Matrix(287,396,208,287) -> Matrix(1,0,0,1) Matrix(1943,2664,892,1223) -> Matrix(1,2,0,1) Matrix(973,1332,290,397) -> Matrix(0,-1,1,2) Matrix(8531,11664,2290,3131) -> Matrix(4,5,3,4) Matrix(8533,11664,2292,3133) -> Matrix(3,2,4,3) Matrix(685,936,554,757) -> Matrix(0,-1,1,2) Matrix(3815,5184,1006,1367) -> Matrix(0,-1,1,2) Matrix(3817,5184,1008,1369) -> Matrix(1,2,0,1) Matrix(107,144,26,35) -> Matrix(2,3,1,2) Matrix(109,144,28,37) -> Matrix(1,2,0,1) Matrix(251,324,-196,-253) -> Matrix(7,16,-4,-9) Matrix(2341,2988,1270,1621) -> Matrix(4,7,1,2) Matrix(2089,2664,396,505) -> Matrix(5,8,-2,-3) Matrix(397,504,256,325) -> Matrix(1,2,-2,-3) Matrix(757,936,554,685) -> Matrix(0,-1,1,2) Matrix(2159,2664,466,575) -> Matrix(4,9,-1,-2) Matrix(1081,1332,702,865) -> Matrix(2,3,1,2) Matrix(469,576,206,253) -> Matrix(0,-1,1,2) Matrix(179,216,-150,-181) -> Matrix(2,3,-3,-4) Matrix(215,252,122,143) -> Matrix(0,-1,1,2) Matrix(251,288,156,179) -> Matrix(1,2,0,1) Matrix(323,360,96,107) -> Matrix(1,2,-2,-3) Matrix(1,0,2,1) -> Matrix(0,-1,1,2) Matrix(253,-288,94,-107) -> Matrix(0,-1,1,0) Matrix(395,-468,92,-109) -> Matrix(1,4,0,1) Matrix(325,-396,206,-251) -> Matrix(2,1,-1,0) Matrix(143,-180,58,-73) -> Matrix(2,1,-1,0) Matrix(253,-324,196,-251) -> Matrix(1,0,4,1) Matrix(2557,-3312,972,-1259) -> Matrix(1,0,-2,1) Matrix(721,-936,332,-431) -> Matrix(1,0,0,1) Matrix(359,-468,56,-73) -> Matrix(1,0,0,1) Matrix(899,-1224,556,-757) -> Matrix(1,0,0,1) Matrix(2053,-2808,552,-755) -> Matrix(1,0,2,1) Matrix(577,-792,314,-431) -> Matrix(0,-1,1,0) Matrix(251,-360,76,-109) -> Matrix(1,0,0,1) Matrix(73,-108,48,-71) -> Matrix(1,0,2,1) Matrix(323,-504,116,-181) -> Matrix(1,0,0,1) Matrix(683,-1080,160,-253) -> Matrix(5,2,2,1) Matrix(181,-288,22,-35) -> Matrix(4,-1,1,0) Matrix(3349,-5400,1272,-2051) -> Matrix(1,-2,0,1) Matrix(1763,-2844,380,-613) -> Matrix(1,-6,0,1) Matrix(2269,-3672,600,-971) -> Matrix(1,0,0,1) Matrix(107,-180,22,-37) -> Matrix(2,1,-1,0) Matrix(181,-324,100,-179) -> Matrix(1,0,2,1) Matrix(719,-1332,156,-289) -> Matrix(1,-6,0,1) Matrix(361,-792,98,-215) -> Matrix(0,-1,1,0) Matrix(145,-324,64,-143) -> Matrix(1,-2,0,1) Matrix(467,-1224,124,-325) -> Matrix(1,0,0,1) Matrix(145,-396,26,-71) -> Matrix(0,-1,1,0) Matrix(37,-108,12,-35) -> Matrix(1,-2,0,1) Matrix(73,-324,16,-71) -> Matrix(1,-10,0,1) Matrix(37,-216,6,-35) -> Matrix(0,-1,1,0) 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): 48 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 -1/1 1 2 1/1 (-1/1,1/1) 0 18 8/7 -1/1 1 18 7/6 0/1 1 18 13/11 (-1/1,1/1) 0 18 6/5 -1/1 3 6 11/9 (-1/1,-1/3) 0 18 16/13 -1/1 1 18 37/30 0/1 1 18 21/17 0/1 1 6 5/4 -1/2 1 18 14/11 (-1/1,-1/3).(-1/2,0/1) 0 18 9/7 0/1 2 2 22/17 (0/1,1/2).(1/3,1/1) 0 18 35/27 (1/1,3/1) 0 18 13/10 0/1 1 18 17/13 (-1/1,1/1) 0 18 4/3 -1/1 1 18 19/14 0/1 1 18 15/11 1/0 1 6 41/30 -2/1 1 18 26/19 (-1/1,1/1).(0/1,1/0) 0 18 37/27 (-3/1,-1/1) 0 18 11/8 1/0 1 18 18/13 -1/1 3 2 7/5 (-1/1,-1/3) 0 18 17/12 -1/4 1 18 27/19 0/1 7 2 37/26 0/1 1 18 10/7 (-1/1,1/1).(0/1,1/0) 0 18 13/9 (-1/1,-1/3) 0 18 16/11 -1/1 1 18 3/2 0/1 1 6 20/13 1/1 1 18 37/24 1/0 1 18 54/35 (-1/1,1/1).(0/1,1/0) 0 2 17/11 (-1/1,1/1) 0 18 14/9 (-1/1,1/1).(0/1,1/0) 0 18 11/7 (-1/1,1/1) 0 18 30/19 -1/1 3 6 19/12 -1/2 1 18 27/17 0/1 7 2 8/5 1/1 1 18 29/18 0/1 1 18 50/31 (1/1,3/1).(2/1,1/0) 0 18 21/13 1/0 1 6 55/34 0/1 1 18 34/21 (-1/1,1/1).(0/1,1/0) 0 18 13/8 1/0 1 18 18/11 (-1/1,1/1).(0/1,1/0) 0 2 5/3 (-1/1,1/1) 0 18 17/10 2/1 1 18 12/7 (-1/1,1/1).(0/1,1/0) 0 6 19/11 (-1/1,1/1) 0 18 7/4 1/0 1 18 23/13 (-1/1,1/1) 0 18 16/9 -1/1 1 18 9/5 0/1 1 2 20/11 1/1 1 18 11/6 0/1 1 18 35/19 (1/3,1/1) 0 18 24/13 1/1 1 6 13/7 (-1/1,1/1) 0 18 2/1 (-1/1,1/1).(0/1,1/0) 0 18 13/6 0/1 1 18 37/17 (1/1,3/1) 0 18 24/11 1/1 1 6 11/5 (-1/1,1/1) 0 18 9/4 1/0 1 2 25/11 (-3/1,-1/1) 0 18 16/7 -1/1 1 18 23/10 0/1 1 18 7/3 (-1/1,1/1) 0 18 19/8 1/2 1 18 12/5 (-1/1,1/1).(0/1,1/0) 0 6 17/7 (-1/1,1/1) 0 18 22/9 (-1/1,1/1).(0/1,1/0) 0 18 5/2 0/1 1 18 18/7 (-1/1,1/1).(0/1,1/0) 0 2 13/5 (-1/1,1/1) 0 18 34/13 (-1/1,1/1).(0/1,1/0) 0 18 21/8 1/0 1 6 71/27 (-1/1,-3/5) 0 18 50/19 (-1/1,1/1).(0/1,1/0) 0 18 79/30 -2/1 1 18 108/41 -1/1 5 2 29/11 (-1/1,-1/3) 0 18 8/3 1/1 1 18 35/13 (-1/1,1/1) 0 18 27/10 1/0 1 2 19/7 (-1/1,1/1) 0 18 11/4 1/0 1 18 36/13 (-1/1,1/1).(0/1,1/0) 0 2 25/9 (-1/1,1/1) 0 18 14/5 (-1/1,1/1).(0/1,1/0) 0 18 17/6 2/3 1 18 3/1 1/0 1 6 19/6 -4/3 1 18 54/17 -1/1 15 2 35/11 (-1/1,-7/9) 0 18 16/5 -1/1 1 18 13/4 1/0 1 18 36/11 -1/1 3 2 23/7 (-1/1,-1/3) 0 18 10/3 (-1/1,1/1).(0/1,1/0) 0 18 37/11 (-1/1,-1/3) 0 18 27/8 0/1 1 2 17/5 (-1/1,1/1) 0 18 7/2 0/1 1 18 18/5 (-1/1,1/1).(0/1,1/0) 0 2 11/3 (-1/1,1/1) 0 18 48/13 -1/1 1 6 37/10 0/1 1 18 26/7 (0/1,1/2).(1/3,1/1) 0 18 67/18 2/3 1 18 108/29 1/1 7 2 41/11 (1/1,3/1) 0 18 15/4 1/0 1 6 34/9 (-1/1,1/1).(0/1,1/0) 0 18 53/14 0/1 1 18 72/19 (-1/1,1/1).(0/1,1/0) 0 2 19/5 (-1/1,1/1) 0 18 4/1 1/1 1 18 17/4 1/0 1 18 30/7 3/1 3 6 13/3 (3/1,5/1) 0 18 9/2 1/0 5 2 23/5 (-7/1,-5/1) 0 18 60/13 -5/1 1 6 37/8 1/0 1 18 51/11 1/0 1 6 14/3 (-5/1,-3/1).(-4/1,1/0) 0 18 19/4 -5/2 1 18 5/1 (-3/1,-1/1) 0 18 21/4 1/0 1 6 37/7 (-7/5,-1/1) 0 18 16/3 -1/1 1 18 11/2 0/1 1 18 17/3 (-1/1,1/1) 0 18 6/1 (-1/1,1/1).(0/1,1/0) 0 6 19/3 (-1/1,1/1) 0 18 13/2 0/1 1 18 7/1 (-1/1,1/1) 0 18 8/1 3/1 1 18 9/1 1/0 7 2 1/0 1/0 1 18 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(1,0,2,-1) (0/1,1/1) -> (0/1,1/1) Reflection Matrix(253,-288,94,-107) (1/1,8/7) -> (8/3,35/13) Hyperbolic Matrix(251,-288,156,-179) (8/7,7/6) -> (8/5,29/18) Glide Reflection Matrix(215,-252,122,-143) (7/6,13/11) -> (7/4,23/13) Glide Reflection Matrix(395,-468,92,-109) (13/11,6/5) -> (30/7,13/3) Hyperbolic Matrix(325,-396,206,-251) (6/5,11/9) -> (11/7,30/19) Hyperbolic Matrix(469,-576,206,-253) (11/9,16/13) -> (25/11,16/7) Glide Reflection Matrix(1081,-1332,702,-865) (16/13,37/30) -> (20/13,37/24) Glide Reflection Matrix(2159,-2664,466,-575) (37/30,21/17) -> (37/8,51/11) Glide Reflection Matrix(757,-936,554,-685) (21/17,5/4) -> (15/11,41/30) Glide Reflection Matrix(143,-180,58,-73) (5/4,14/11) -> (22/9,5/2) Hyperbolic Matrix(253,-324,196,-251) (14/11,9/7) -> (9/7,22/17) Parabolic Matrix(2557,-3312,972,-1259) (22/17,35/27) -> (71/27,50/19) Hyperbolic Matrix(721,-936,332,-431) (35/27,13/10) -> (13/6,37/17) Hyperbolic Matrix(359,-468,56,-73) (13/10,17/13) -> (19/3,13/2) Hyperbolic Matrix(109,-144,28,-37) (17/13,4/3) -> (19/5,4/1) Glide Reflection Matrix(107,-144,26,-35) (4/3,19/14) -> (4/1,17/4) Glide Reflection Matrix(899,-1224,556,-757) (19/14,15/11) -> (21/13,55/34) Hyperbolic Matrix(2053,-2808,552,-755) (41/30,26/19) -> (26/7,67/18) Hyperbolic Matrix(973,-1332,290,-397) (26/19,37/27) -> (10/3,37/11) Glide Reflection Matrix(577,-792,314,-431) (37/27,11/8) -> (11/6,35/19) Hyperbolic Matrix(287,-396,208,-287) (11/8,18/13) -> (11/8,18/13) Reflection Matrix(181,-252,130,-181) (18/13,7/5) -> (18/13,7/5) Reflection Matrix(179,-252,76,-107) (7/5,17/12) -> (7/3,19/8) Glide Reflection Matrix(685,-972,432,-613) (17/12,27/19) -> (19/12,27/17) Glide Reflection Matrix(253,-360,26,-37) (27/19,37/26) -> (9/1,1/0) Glide Reflection Matrix(935,-1332,252,-359) (37/26,10/7) -> (37/10,26/7) Glide Reflection Matrix(251,-360,76,-109) (10/7,13/9) -> (23/7,10/3) Hyperbolic Matrix(397,-576,224,-325) (13/9,16/11) -> (23/13,16/9) Glide Reflection Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(2591,-3996,1680,-2591) (37/24,54/35) -> (37/24,54/35) Reflection Matrix(1189,-1836,770,-1189) (54/35,17/11) -> (54/35,17/11) Reflection Matrix(395,-612,162,-251) (17/11,14/9) -> (17/7,22/9) Glide Reflection Matrix(323,-504,116,-181) (14/9,11/7) -> (25/9,14/5) Hyperbolic Matrix(683,-1080,160,-253) (30/19,19/12) -> (17/4,30/7) Hyperbolic Matrix(181,-288,22,-35) (27/17,8/5) -> (8/1,9/1) Hyperbolic Matrix(3349,-5400,1272,-2051) (29/18,50/31) -> (50/19,79/30) Hyperbolic Matrix(1763,-2844,380,-613) (50/31,21/13) -> (51/11,14/3) Hyperbolic Matrix(2269,-3672,600,-971) (55/34,34/21) -> (34/9,53/14) Hyperbolic Matrix(289,-468,134,-217) (34/21,13/8) -> (2/1,13/6) Glide Reflection Matrix(287,-468,176,-287) (13/8,18/11) -> (13/8,18/11) Reflection Matrix(109,-180,66,-109) (18/11,5/3) -> (18/11,5/3) Reflection Matrix(107,-180,22,-37) (5/3,17/10) -> (19/4,5/1) Hyperbolic Matrix(253,-432,106,-181) (17/10,12/7) -> (19/8,12/5) Glide Reflection Matrix(251,-432,104,-179) (12/7,19/11) -> (12/5,17/7) Glide Reflection Matrix(145,-252,42,-73) (19/11,7/4) -> (17/5,7/2) Glide Reflection Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(217,-396,40,-73) (20/11,11/6) -> (16/3,11/2) Glide Reflection Matrix(937,-1728,430,-793) (35/19,24/13) -> (37/17,24/11) Glide Reflection Matrix(719,-1332,156,-289) (24/13,13/7) -> (23/5,60/13) Hyperbolic Matrix(251,-468,96,-179) (13/7,2/1) -> (13/5,34/13) Glide Reflection Matrix(361,-792,98,-215) (24/11,11/5) -> (11/3,48/13) Hyperbolic Matrix(145,-324,64,-143) (11/5,9/4) -> (9/4,25/11) Parabolic Matrix(251,-576,78,-179) (16/7,23/10) -> (16/5,13/4) Glide Reflection Matrix(109,-252,16,-37) (23/10,7/3) -> (13/2,7/1) Glide Reflection Matrix(71,-180,28,-71) (5/2,18/7) -> (5/2,18/7) Reflection Matrix(181,-468,70,-181) (18/7,13/5) -> (18/7,13/5) Reflection Matrix(467,-1224,124,-325) (34/13,21/8) -> (15/4,34/9) Hyperbolic Matrix(863,-2268,164,-431) (21/8,71/27) -> (21/4,37/7) Glide Reflection Matrix(6479,-17064,2460,-6479) (79/30,108/41) -> (79/30,108/41) Reflection Matrix(2377,-6264,902,-2377) (108/41,29/11) -> (108/41,29/11) Reflection Matrix(109,-288,14,-37) (29/11,8/3) -> (7/1,8/1) Glide Reflection Matrix(721,-1944,214,-577) (35/13,27/10) -> (37/11,27/8) Glide Reflection Matrix(359,-972,106,-287) (27/10,19/7) -> (27/8,17/5) Glide Reflection Matrix(145,-396,26,-71) (19/7,11/4) -> (11/2,17/3) Hyperbolic Matrix(287,-792,104,-287) (11/4,36/13) -> (11/4,36/13) Reflection Matrix(649,-1800,234,-649) (36/13,25/9) -> (36/13,25/9) Reflection Matrix(179,-504,38,-107) (14/5,17/6) -> (14/3,19/4) Glide Reflection Matrix(37,-108,12,-35) (17/6,3/1) -> (3/1,19/6) Parabolic Matrix(647,-2052,204,-647) (19/6,54/17) -> (19/6,54/17) Reflection Matrix(1189,-3780,374,-1189) (54/17,35/11) -> (54/17,35/11) Reflection Matrix(361,-1152,68,-217) (35/11,16/5) -> (37/7,16/3) Glide Reflection Matrix(287,-936,88,-287) (13/4,36/11) -> (13/4,36/11) Reflection Matrix(505,-1656,154,-505) (36/11,23/7) -> (36/11,23/7) Reflection Matrix(71,-252,20,-71) (7/2,18/5) -> (7/2,18/5) Reflection Matrix(109,-396,30,-109) (18/5,11/3) -> (18/5,11/3) Reflection Matrix(1081,-3996,234,-865) (48/13,37/10) -> (60/13,37/8) Glide Reflection Matrix(3887,-14472,1044,-3887) (67/18,108/29) -> (67/18,108/29) Reflection Matrix(2377,-8856,638,-2377) (108/29,41/11) -> (108/29,41/11) Reflection Matrix(251,-936,48,-179) (41/11,15/4) -> (5/1,21/4) Glide Reflection Matrix(2015,-7632,532,-2015) (53/14,72/19) -> (53/14,72/19) Reflection Matrix(721,-2736,190,-721) (72/19,19/5) -> (72/19,19/5) Reflection Matrix(73,-324,16,-71) (13/3,9/2) -> (9/2,23/5) Parabolic Matrix(37,-216,6,-35) (17/3,6/1) -> (6/1,19/3) Parabolic IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,2,0,-1) (0/1,1/0) -> (-1/1,1/0) Matrix(1,0,2,-1) -> Matrix(0,1,1,0) (0/1,1/1) -> (-1/1,1/1) Matrix(253,-288,94,-107) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(251,-288,156,-179) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(215,-252,122,-143) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(395,-468,92,-109) -> Matrix(1,4,0,1) 1/0 Matrix(325,-396,206,-251) -> Matrix(2,1,-1,0) -1/1 Matrix(469,-576,206,-253) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(1081,-1332,702,-865) -> Matrix(2,1,1,0) Matrix(2159,-2664,466,-575) -> Matrix(-4,1,1,0) Matrix(757,-936,554,-685) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(143,-180,58,-73) -> Matrix(2,1,-1,0) -1/1 Matrix(253,-324,196,-251) -> Matrix(1,0,4,1) 0/1 Matrix(2557,-3312,972,-1259) -> Matrix(1,0,-2,1) 0/1 Matrix(721,-936,332,-431) -> Matrix(1,0,0,1) Matrix(359,-468,56,-73) -> Matrix(1,0,0,1) Matrix(109,-144,28,-37) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(107,-144,26,-35) -> Matrix(2,1,1,0) Matrix(899,-1224,556,-757) -> Matrix(1,0,0,1) Matrix(2053,-2808,552,-755) -> Matrix(1,0,2,1) 0/1 Matrix(973,-1332,290,-397) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(577,-792,314,-431) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(287,-396,208,-287) -> Matrix(1,2,0,-1) (11/8,18/13) -> (-1/1,1/0) Matrix(181,-252,130,-181) -> Matrix(2,1,-3,-2) (18/13,7/5) -> (-1/1,-1/3) Matrix(179,-252,76,-107) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(685,-972,432,-613) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(253,-360,26,-37) -> Matrix(-4,1,1,0) Matrix(935,-1332,252,-359) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(251,-360,76,-109) -> Matrix(1,0,0,1) Matrix(397,-576,224,-325) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(73,-108,48,-71) -> Matrix(1,0,2,1) 0/1 Matrix(2591,-3996,1680,-2591) -> Matrix(1,0,0,-1) (37/24,54/35) -> (0/1,1/0) Matrix(1189,-1836,770,-1189) -> Matrix(0,1,1,0) (54/35,17/11) -> (-1/1,1/1) Matrix(395,-612,162,-251) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(323,-504,116,-181) -> Matrix(1,0,0,1) Matrix(683,-1080,160,-253) -> Matrix(5,2,2,1) Matrix(181,-288,22,-35) -> Matrix(4,-1,1,0) Matrix(3349,-5400,1272,-2051) -> Matrix(1,-2,0,1) 1/0 Matrix(1763,-2844,380,-613) -> Matrix(1,-6,0,1) 1/0 Matrix(2269,-3672,600,-971) -> Matrix(1,0,0,1) Matrix(289,-468,134,-217) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(287,-468,176,-287) -> Matrix(1,0,0,-1) (13/8,18/11) -> (0/1,1/0) Matrix(109,-180,66,-109) -> Matrix(0,1,1,0) (18/11,5/3) -> (-1/1,1/1) Matrix(107,-180,22,-37) -> Matrix(2,1,-1,0) -1/1 Matrix(253,-432,106,-181) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(251,-432,104,-179) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(145,-252,42,-73) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(181,-324,100,-179) -> Matrix(1,0,2,1) 0/1 Matrix(217,-396,40,-73) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(937,-1728,430,-793) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(719,-1332,156,-289) -> Matrix(1,-6,0,1) 1/0 Matrix(251,-468,96,-179) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(361,-792,98,-215) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(145,-324,64,-143) -> Matrix(1,-2,0,1) 1/0 Matrix(251,-576,78,-179) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(109,-252,16,-37) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(71,-180,28,-71) -> Matrix(1,0,0,-1) (5/2,18/7) -> (0/1,1/0) Matrix(181,-468,70,-181) -> Matrix(0,1,1,0) (18/7,13/5) -> (-1/1,1/1) Matrix(467,-1224,124,-325) -> Matrix(1,0,0,1) Matrix(863,-2268,164,-431) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(6479,-17064,2460,-6479) -> Matrix(3,4,-2,-3) (79/30,108/41) -> (-2/1,-1/1) Matrix(2377,-6264,902,-2377) -> Matrix(2,1,-3,-2) (108/41,29/11) -> (-1/1,-1/3) Matrix(109,-288,14,-37) -> Matrix(2,1,1,0) Matrix(721,-1944,214,-577) -> Matrix(0,1,1,-2) Matrix(359,-972,106,-287) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(145,-396,26,-71) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(287,-792,104,-287) -> Matrix(1,0,0,-1) (11/4,36/13) -> (0/1,1/0) Matrix(649,-1800,234,-649) -> Matrix(0,1,1,0) (36/13,25/9) -> (-1/1,1/1) Matrix(179,-504,38,-107) -> Matrix(-4,1,1,0) Matrix(37,-108,12,-35) -> Matrix(1,-2,0,1) 1/0 Matrix(647,-2052,204,-647) -> Matrix(7,8,-6,-7) (19/6,54/17) -> (-4/3,-1/1) Matrix(1189,-3780,374,-1189) -> Matrix(8,7,-9,-8) (54/17,35/11) -> (-1/1,-7/9) Matrix(361,-1152,68,-217) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(287,-936,88,-287) -> Matrix(1,2,0,-1) (13/4,36/11) -> (-1/1,1/0) Matrix(505,-1656,154,-505) -> Matrix(2,1,-3,-2) (36/11,23/7) -> (-1/1,-1/3) Matrix(71,-252,20,-71) -> Matrix(1,0,0,-1) (7/2,18/5) -> (0/1,1/0) Matrix(109,-396,30,-109) -> Matrix(0,1,1,0) (18/5,11/3) -> (-1/1,1/1) Matrix(1081,-3996,234,-865) -> Matrix(-4,1,1,0) Matrix(3887,-14472,1044,-3887) -> Matrix(5,-4,6,-5) (67/18,108/29) -> (2/3,1/1) Matrix(2377,-8856,638,-2377) -> Matrix(2,-3,1,-2) (108/29,41/11) -> (1/1,3/1) Matrix(251,-936,48,-179) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2015,-7632,532,-2015) -> Matrix(1,0,0,-1) (53/14,72/19) -> (0/1,1/0) Matrix(721,-2736,190,-721) -> Matrix(0,1,1,0) (72/19,19/5) -> (-1/1,1/1) Matrix(73,-324,16,-71) -> Matrix(1,-10,0,1) 1/0 Matrix(37,-216,6,-35) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.