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: 80 Genus: 105 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -8/1 -6/1 -17/3 -14/3 -4/1 -17/5 -51/16 -17/7 -12/5 -2/1 -17/9 -17/11 -17/13 -85/67 -17/15 0/1 1/1 17/15 34/29 17/14 34/27 102/79 17/13 34/25 17/12 3/2 17/11 34/21 17/10 34/19 17/9 2/1 17/8 15/7 34/15 12/5 17/7 5/2 85/33 34/13 272/103 17/6 3/1 16/5 29/9 102/31 17/5 7/2 11/3 34/9 4/1 21/5 17/4 13/3 136/31 31/7 102/23 9/2 23/5 14/3 34/7 5/1 16/3 27/5 11/2 17/3 6/1 19/3 13/2 33/5 34/5 7/1 8/1 25/3 17/2 9/1 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 1/0 -19/2 0/1 1/3 -9/1 1/2 1/1 -17/2 1/1 -8/1 1/0 -7/1 2/3 1/1 -34/5 1/1 -27/4 1/1 8/7 -20/3 3/2 -13/2 2/1 1/0 -19/3 -1/1 1/0 -25/4 0/1 1/0 -6/1 1/2 -17/3 1/1 -28/5 5/4 -11/2 1/1 2/1 -5/1 1/2 1/1 -34/7 1/1 -29/6 1/1 12/11 -24/5 5/4 -43/9 1/1 5/4 -19/4 1/1 2/1 -33/7 1/1 2/1 -14/3 3/2 -37/8 2/1 3/1 -23/5 2/1 1/0 -32/7 1/0 -9/2 0/1 1/0 -22/5 1/2 -57/13 1/1 2/1 -35/8 0/1 1/1 -13/3 1/2 1/1 -17/4 1/1 -21/5 1/1 4/3 -46/11 3/2 -25/6 4/3 3/2 -4/1 1/0 -19/5 3/4 1/1 -34/9 1/1 -15/4 1/1 4/3 -11/3 1/1 2/1 -18/5 1/0 -25/7 -3/1 1/0 -32/9 1/0 -7/2 0/1 1/1 -17/5 1/1 -27/8 1/1 2/1 -37/11 3/2 2/1 -10/3 1/0 -43/13 1/1 1/0 -33/10 1/1 2/1 -56/17 3/2 -79/24 5/3 2/1 -102/31 2/1 -23/7 2/1 1/0 -36/11 1/0 -49/15 -1/1 1/0 -13/4 2/1 1/0 -16/5 1/0 -51/16 0/1 -35/11 0/1 1/1 -19/6 0/1 1/1 -3/1 1/1 1/0 -17/6 1/0 -31/11 0/1 1/0 -14/5 1/0 -53/19 0/1 1/2 -92/33 3/4 -39/14 1/1 4/3 -64/23 3/2 -25/9 3/1 1/0 -36/13 1/0 -83/30 -3/1 -2/1 -47/17 -1/1 0/1 -11/4 0/1 1/1 -41/15 0/1 1/0 -30/11 1/2 -19/7 1/1 3/2 -8/3 1/0 -37/14 2/1 3/1 -103/39 2/1 3/1 -66/25 1/0 -29/11 2/1 1/0 -21/8 4/1 1/0 -34/13 1/0 -13/5 -1/1 1/0 -18/7 1/0 -23/9 0/1 1/0 -28/11 1/2 -33/13 0/1 1/1 -38/15 1/0 -5/2 1/1 2/1 -17/7 1/0 -29/12 -3/1 -2/1 -70/29 1/0 -41/17 -2/1 1/0 -12/5 1/0 -43/18 -1/2 0/1 -74/31 -1/4 -31/13 0/1 1/2 -19/8 -1/1 0/1 -45/19 0/1 1/2 -71/30 0/1 1/3 -26/11 1/2 -7/3 1/1 2/1 -16/7 1/0 -25/11 9/1 1/0 -34/15 1/0 -9/4 -2/1 1/0 -11/5 0/1 1/1 -35/16 1/1 2/1 -24/11 1/0 -13/6 2/1 1/0 -28/13 1/0 -43/20 2/1 1/0 -15/7 4/1 1/0 -17/8 1/0 -19/9 -3/1 1/0 -2/1 1/0 -17/9 1/0 -32/17 1/0 -15/8 -4/1 -3/1 -13/7 -1/1 1/0 -11/6 -1/1 0/1 -9/5 1/1 1/0 -34/19 1/0 -25/14 -6/1 1/0 -66/37 1/0 -41/23 -4/1 1/0 -16/9 1/0 -23/13 -2/1 1/0 -30/17 -3/2 -67/38 -2/1 -1/1 -37/21 -2/1 1/0 -7/4 -2/1 -1/1 -47/27 -1/1 -2/3 -40/23 -1/2 -33/19 -1/1 0/1 -59/34 -1/2 0/1 -26/15 1/0 -19/11 -1/1 -1/2 -31/18 -1/3 0/1 -136/79 0/1 -105/61 0/1 1/8 -74/43 1/2 -43/25 1/1 1/0 -55/32 0/1 1/0 -67/39 0/1 1/0 -12/7 1/0 -41/24 0/1 1/1 -70/41 1/0 -29/17 0/1 1/0 -17/10 1/0 -5/3 -1/1 1/0 -23/14 -1/1 -2/3 -41/25 -2/3 -1/2 -18/11 -1/2 -85/52 0/1 -67/41 -1/2 0/1 -49/30 -1/3 0/1 -31/19 0/1 1/0 -44/27 -1/2 -13/8 -1/2 0/1 -34/21 0/1 -21/13 0/1 1/1 -29/18 0/1 1/1 -66/41 1/0 -169/105 -2/1 -1/1 -272/169 -1/1 -103/64 -1/1 0/1 -37/23 0/1 1/0 -8/5 1/0 -51/32 -1/1 -43/27 -1/1 -1/2 -35/22 -1/1 0/1 -62/39 -1/2 -89/56 -1/2 0/1 -27/17 0/1 1/0 -46/29 1/0 -111/70 -2/1 1/0 -65/41 -1/1 1/0 -19/12 -2/1 -1/1 -11/7 -1/1 0/1 -25/16 -1/2 -2/5 -64/41 -1/4 -39/25 -1/4 0/1 -53/34 -1/3 0/1 -67/43 -1/2 0/1 -14/9 -1/2 -17/11 0/1 -20/13 1/2 -3/2 -1/1 0/1 -19/13 1/1 1/0 -16/11 1/0 -13/9 -1/1 1/0 -23/16 -2/1 -1/1 -33/23 -1/1 0/1 -43/30 0/1 1/0 -53/37 -2/1 1/0 -10/7 -1/2 -57/40 -1/1 0/1 -47/33 -1/3 0/1 -37/26 -1/3 0/1 -101/71 -1/3 0/1 -64/45 -1/2 -27/19 -1/4 0/1 -17/12 0/1 -7/5 0/1 1/1 -18/13 1/0 -47/34 0/1 1/0 -29/21 -2/1 1/0 -98/71 1/0 -69/50 -2/1 -1/1 -40/29 -3/2 -11/8 -1/1 0/1 -37/27 -1/2 0/1 -26/19 -1/2 -15/11 -1/4 0/1 -34/25 0/1 -19/14 0/1 1/5 -23/17 0/1 1/2 -4/3 1/0 -17/13 0/1 -30/23 1/4 -43/33 1/2 1/1 -13/10 0/1 1/2 -48/37 1/0 -35/27 0/1 1/1 -57/44 2/3 1/1 -136/105 1/1 -79/61 1/1 4/3 -22/17 1/0 -53/41 0/1 1/2 -31/24 0/1 1/1 -102/79 1/1 -71/55 1/1 1/0 -111/86 0/1 1/0 -40/31 1/0 -89/69 1/1 2/1 -49/38 -1/1 0/1 -9/7 1/1 1/0 -23/18 -1/1 0/1 -37/29 0/1 1/0 -14/11 1/0 -61/48 -1/1 -4/5 -47/37 -1/1 0/1 -80/63 -1/2 -33/26 -1/1 0/1 -85/67 -1/1 -137/108 -1/1 -2/3 -52/41 -1/2 -19/15 -1/1 -1/2 -43/34 -1/2 0/1 -24/19 -1/2 -53/42 -1/5 0/1 -29/23 -1/6 0/1 -34/27 0/1 -5/4 0/1 1/1 -21/17 0/1 1/1 -37/30 0/1 1/1 -53/43 0/1 1/2 -16/13 1/0 -11/9 -1/1 0/1 -17/14 0/1 -23/19 0/1 1/2 -6/5 1/0 -25/21 1/2 1/1 -19/16 1/1 2/1 -13/11 -1/1 1/0 -33/28 -1/1 0/1 -86/73 -1/2 -53/45 0/1 1/0 -20/17 -1/2 -67/57 -1/2 0/1 -47/40 -1/2 0/1 -27/23 -1/4 0/1 -34/29 0/1 -7/6 0/1 1/1 -22/19 1/0 -15/13 -1/2 0/1 -8/7 1/0 -17/15 0/1 -26/23 1/2 -9/8 0/1 1/0 -10/9 1/0 -11/10 -1/1 0/1 -12/11 1/0 -1/1 0/1 1/0 0/1 0/1 1/1 0/1 1/2 11/10 0/1 1/3 10/9 1/2 9/8 0/1 1/2 17/15 0/1 8/7 1/2 7/6 0/1 1/1 34/29 0/1 27/23 0/1 1/6 47/40 0/1 1/4 20/17 1/4 13/11 1/3 1/2 19/16 2/3 1/1 25/21 1/1 1/0 6/5 1/2 23/19 0/1 1/0 17/14 0/1 11/9 0/1 1/3 5/4 0/1 1/1 34/27 0/1 29/23 0/1 1/8 24/19 1/4 43/34 0/1 1/4 19/15 1/4 1/3 33/26 0/1 1/3 47/37 0/1 1/3 14/11 1/2 9/7 1/2 1/1 49/38 0/1 1/3 40/31 1/2 71/55 1/2 1/1 102/79 1/1 31/24 0/1 1/1 53/41 0/1 1/0 22/17 1/2 35/27 0/1 1/1 13/10 0/1 1/0 17/13 0/1 21/16 0/1 1/4 25/19 1/5 1/4 4/3 1/2 23/17 0/1 1/0 19/14 -1/3 0/1 34/25 0/1 15/11 0/1 1/6 41/30 0/1 1/3 26/19 1/4 37/27 0/1 1/4 11/8 0/1 1/3 40/29 3/8 69/50 1/3 2/5 29/21 2/5 1/2 18/13 1/2 7/5 0/1 1/1 17/12 0/1 27/19 0/1 1/6 37/26 0/1 1/5 47/33 0/1 1/5 10/7 1/4 53/37 2/5 1/2 43/30 0/1 1/2 33/23 0/1 1/3 56/39 1/4 23/16 1/3 2/5 13/9 1/3 1/2 3/2 0/1 1/3 17/11 0/1 31/20 0/1 1/7 14/9 1/4 11/7 0/1 1/3 19/12 1/3 2/5 46/29 1/2 27/17 0/1 1/2 62/39 1/4 35/22 0/1 1/3 43/27 1/4 1/3 8/5 1/2 37/23 0/1 1/2 103/64 0/1 1/3 66/41 1/2 29/18 0/1 1/1 21/13 0/1 1/1 34/21 0/1 13/8 0/1 1/4 44/27 1/4 31/19 0/1 1/2 18/11 1/4 5/3 1/3 1/2 17/10 1/2 29/17 0/1 1/2 41/24 0/1 1/1 53/31 0/1 1/4 12/7 1/2 67/39 0/1 1/2 55/32 0/1 1/2 43/25 1/2 1/1 74/43 1/0 31/18 0/1 1/5 19/11 1/4 1/3 7/4 1/3 2/5 30/17 3/8 23/13 2/5 1/2 16/9 1/2 41/23 4/9 1/2 25/14 6/13 1/2 34/19 1/2 9/5 1/2 1/1 20/11 1/2 31/17 0/1 1/2 11/6 0/1 1/3 13/7 1/3 1/2 15/8 3/7 4/9 17/9 1/2 19/10 3/5 2/3 2/1 1/2 17/8 1/2 15/7 1/2 4/7 43/20 1/2 2/3 28/13 1/2 41/19 5/8 2/3 13/6 1/2 2/3 24/11 1/2 35/16 2/3 1/1 11/5 0/1 1/1 20/9 1/2 49/22 0/1 1/3 78/35 1/0 29/13 0/1 1/4 67/30 0/1 1/3 38/17 1/4 9/4 2/5 1/2 34/15 1/2 25/11 1/2 9/17 16/7 1/2 7/3 2/3 1/1 26/11 1/0 45/19 0/1 1/0 19/8 0/1 1/3 88/37 1/2 157/66 0/1 1/2 69/29 0/1 1/2 119/50 0/1 50/21 1/2 31/13 0/1 1/0 12/5 1/2 17/7 1/2 22/9 1/2 27/11 1/2 2/3 32/13 1/2 5/2 2/3 1/1 33/13 0/1 1/1 28/11 1/0 23/9 0/1 1/2 18/7 1/2 85/33 1/1 152/59 1/0 67/26 0/1 1/1 49/19 1/2 1/1 31/12 0/1 1/3 13/5 1/3 1/2 34/13 1/2 21/8 1/2 4/7 29/11 1/2 2/3 66/25 1/2 169/64 4/7 3/5 272/103 3/5 103/39 3/5 2/3 37/14 3/5 2/3 8/3 1/2 51/19 2/3 43/16 2/3 3/4 35/13 2/3 1/1 62/23 3/4 89/33 4/5 1/1 27/10 0/1 1/1 19/7 3/4 1/1 30/11 1/0 101/37 0/1 1/1 71/26 0/1 1/1 41/15 0/1 1/2 11/4 0/1 1/1 58/21 1/2 47/17 0/1 1/3 130/47 1/2 83/30 2/5 3/7 36/13 1/2 25/9 1/2 3/5 64/23 3/4 103/37 2/3 1/1 39/14 4/5 1/1 53/19 0/1 1/0 14/5 1/2 31/11 0/1 1/2 17/6 1/2 3/1 1/2 1/1 28/9 1/2 25/8 0/1 1/2 22/7 1/2 19/6 0/1 1/1 16/5 1/2 29/9 0/1 1/2 13/4 1/2 2/3 36/11 1/2 23/7 1/2 2/3 102/31 2/3 79/24 2/3 5/7 135/41 2/3 3/4 56/17 3/4 89/27 2/3 1/1 33/10 2/3 1/1 43/13 1/2 1/1 10/3 1/2 17/5 1/1 24/7 1/0 31/9 0/1 1/2 69/20 0/1 1/1 38/11 1/0 7/2 0/1 1/1 39/11 0/1 1/2 32/9 1/2 25/7 3/7 1/2 18/5 1/2 83/23 5/8 2/3 65/18 3/5 2/3 47/13 3/5 2/3 29/8 3/5 2/3 11/3 2/3 1/1 15/4 4/5 1/1 34/9 1/1 19/5 1/1 3/2 4/1 1/2 25/6 3/4 4/5 46/11 3/4 21/5 4/5 1/1 17/4 1/1 13/3 1/1 1/0 48/11 1/2 83/19 0/1 1/0 118/27 1/2 35/8 0/1 1/1 57/13 2/3 1/1 136/31 1/1 79/18 1/1 4/3 22/5 1/0 31/7 -1/2 0/1 102/23 0/1 71/16 0/1 1/9 40/9 1/4 9/2 0/1 1/2 41/9 1/2 2/3 32/7 1/2 23/5 1/2 2/3 60/13 1/2 37/8 3/5 2/3 14/3 3/4 33/7 2/3 1/1 85/18 2/3 52/11 3/4 19/4 2/3 1/1 43/9 5/6 1/1 24/5 5/6 53/11 7/8 8/9 29/6 12/13 1/1 34/7 1/1 5/1 1/1 1/0 16/3 1/2 27/5 1/2 2/3 11/2 2/3 1/1 17/3 1/1 23/4 1/1 4/3 6/1 1/0 25/4 0/1 1/2 19/3 1/3 1/2 51/8 1/2 32/5 1/2 13/2 1/2 2/3 33/5 2/3 1/1 20/3 3/4 47/7 4/5 1/1 27/4 8/9 1/1 34/5 1/1 7/1 1/1 2/1 8/1 1/2 25/3 3/4 1/1 17/2 1/1 9/1 1/1 1/0 19/2 -1/1 0/1 10/1 1/2 1/0 0/1 1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(35,374,16,171) (-10/1,1/0) -> (24/11,35/16) Hyperbolic Matrix(205,1972,92,885) (-10/1,-19/2) -> (49/22,78/35) Hyperbolic Matrix(67,612,52,475) (-19/2,-9/1) -> (9/7,49/38) Hyperbolic Matrix(35,306,4,35) (-9/1,-17/2) -> (17/2,9/1) Hyperbolic Matrix(67,544,-42,-341) (-17/2,-8/1) -> (-8/5,-51/32) Hyperbolic Matrix(33,238,14,101) (-8/1,-7/1) -> (7/3,26/11) Hyperbolic Matrix(69,476,10,69) (-7/1,-34/5) -> (34/5,7/1) Hyperbolic Matrix(271,1836,40,271) (-34/5,-27/4) -> (27/4,34/5) Hyperbolic Matrix(239,1598,-188,-1257) (-27/4,-20/3) -> (-14/11,-61/48) Hyperbolic Matrix(135,884,-104,-681) (-20/3,-13/2) -> (-13/10,-48/37) Hyperbolic Matrix(137,884,-42,-271) (-13/2,-19/3) -> (-49/15,-13/4) Hyperbolic Matrix(205,1292,162,1021) (-19/3,-25/4) -> (43/34,19/15) Hyperbolic Matrix(169,1054,38,237) (-25/4,-6/1) -> (40/9,9/2) Hyperbolic Matrix(101,578,-18,-103) (-6/1,-17/3) -> (-17/3,-28/5) Parabolic Matrix(135,748,98,543) (-28/5,-11/2) -> (11/8,40/29) Hyperbolic Matrix(33,170,-20,-103) (-11/2,-5/1) -> (-5/3,-23/14) Hyperbolic Matrix(69,340,14,69) (-5/1,-34/7) -> (34/7,5/1) Hyperbolic Matrix(407,1972,84,407) (-34/7,-29/6) -> (29/6,34/7) Hyperbolic Matrix(747,3604,-268,-1293) (-29/6,-24/5) -> (-92/33,-39/14) Hyperbolic Matrix(305,1462,92,441) (-24/5,-43/9) -> (43/13,10/3) Hyperbolic Matrix(271,1292,228,1087) (-43/9,-19/4) -> (19/16,25/21) Hyperbolic Matrix(273,1292,-86,-407) (-19/4,-33/7) -> (-35/11,-19/6) Hyperbolic Matrix(441,2074,-340,-1599) (-33/7,-14/3) -> (-48/37,-35/27) Hyperbolic Matrix(205,952,132,613) (-14/3,-37/8) -> (31/20,14/9) Hyperbolic Matrix(715,3298,-302,-1393) (-37/8,-23/5) -> (-45/19,-71/30) Hyperbolic Matrix(341,1564,104,477) (-23/5,-32/7) -> (36/11,23/7) Hyperbolic Matrix(307,1394,-172,-781) (-32/7,-9/2) -> (-25/14,-66/37) Hyperbolic Matrix(239,1054,-100,-441) (-9/2,-22/5) -> (-12/5,-43/18) Hyperbolic Matrix(681,2992,-526,-2311) (-22/5,-57/13) -> (-79/61,-22/17) Hyperbolic Matrix(543,2380,248,1087) (-57/13,-35/8) -> (35/16,11/5) Hyperbolic Matrix(203,884,-172,-749) (-35/8,-13/3) -> (-13/11,-33/28) Hyperbolic Matrix(103,442,24,103) (-13/3,-17/4) -> (17/4,13/3) Hyperbolic Matrix(169,714,40,169) (-17/4,-21/5) -> (21/5,17/4) Hyperbolic Matrix(1259,5270,382,1599) (-21/5,-46/11) -> (56/17,89/27) Hyperbolic Matrix(407,1700,130,543) (-46/11,-25/6) -> (25/8,22/7) Hyperbolic Matrix(237,986,106,441) (-25/6,-4/1) -> (38/17,9/4) Hyperbolic Matrix(169,646,62,237) (-4/1,-19/5) -> (19/7,30/11) Hyperbolic Matrix(341,1292,90,341) (-19/5,-34/9) -> (34/9,19/5) Hyperbolic Matrix(271,1020,72,271) (-34/9,-15/4) -> (15/4,34/9) Hyperbolic Matrix(101,374,64,237) (-15/4,-11/3) -> (11/7,19/12) Hyperbolic Matrix(103,374,-84,-305) (-11/3,-18/5) -> (-16/13,-11/9) Hyperbolic Matrix(237,850,104,373) (-18/5,-25/7) -> (25/11,16/7) Hyperbolic Matrix(477,1700,172,613) (-25/7,-32/9) -> (36/13,25/9) Hyperbolic Matrix(509,1802,-298,-1055) (-32/9,-7/2) -> (-41/24,-70/41) Hyperbolic Matrix(169,578,-50,-171) (-7/2,-17/5) -> (-17/5,-27/8) Parabolic Matrix(373,1258,-212,-715) (-27/8,-37/11) -> (-37/21,-7/4) Hyperbolic Matrix(577,1938,354,1189) (-37/11,-10/3) -> (44/27,31/19) Hyperbolic Matrix(441,1462,92,305) (-10/3,-43/13) -> (43/9,24/5) Hyperbolic Matrix(885,2924,556,1837) (-43/13,-33/10) -> (35/22,43/27) Hyperbolic Matrix(1361,4488,-1072,-3535) (-33/10,-56/17) -> (-80/63,-33/26) Hyperbolic Matrix(475,1564,-434,-1429) (-56/17,-79/24) -> (-11/10,-12/11) Hyperbolic Matrix(4897,16116,1488,4897) (-79/24,-102/31) -> (102/31,79/24) Hyperbolic Matrix(1427,4692,434,1427) (-102/31,-23/7) -> (23/7,102/31) Hyperbolic Matrix(477,1564,104,341) (-23/7,-36/11) -> (32/7,23/5) Hyperbolic Matrix(239,782,-114,-373) (-36/11,-49/15) -> (-19/9,-2/1) Hyperbolic Matrix(307,986,-222,-713) (-13/4,-16/5) -> (-18/13,-47/34) Hyperbolic Matrix(1395,4454,586,1871) (-16/5,-51/16) -> (119/50,50/21) Hyperbolic Matrix(1463,4658,310,987) (-51/16,-35/11) -> (33/7,85/18) Hyperbolic Matrix(409,1292,-258,-815) (-19/6,-3/1) -> (-65/41,-19/12) Hyperbolic Matrix(35,102,12,35) (-3/1,-17/6) -> (17/6,3/1) Hyperbolic Matrix(373,1054,132,373) (-17/6,-31/11) -> (31/11,17/6) Hyperbolic Matrix(375,1054,206,579) (-31/11,-14/5) -> (20/11,31/17) Hyperbolic Matrix(645,1802,-548,-1531) (-14/5,-53/19) -> (-53/45,-20/17) Hyperbolic Matrix(1939,5406,1354,3775) (-53/19,-92/33) -> (10/7,53/37) Hyperbolic Matrix(647,1802,-256,-713) (-39/14,-64/23) -> (-38/15,-5/2) Hyperbolic Matrix(611,1700,464,1291) (-64/23,-25/9) -> (25/19,4/3) Hyperbolic Matrix(613,1700,172,477) (-25/9,-36/13) -> (32/9,25/7) Hyperbolic Matrix(307,850,160,443) (-36/13,-83/30) -> (19/10,2/1) Hyperbolic Matrix(3503,9690,-2716,-7513) (-83/30,-47/17) -> (-89/69,-49/38) Hyperbolic Matrix(1157,3196,-812,-2243) (-47/17,-11/4) -> (-57/40,-47/33) Hyperbolic Matrix(273,748,50,137) (-11/4,-41/15) -> (27/5,11/2) Hyperbolic Matrix(1257,3434,-884,-2415) (-41/15,-30/11) -> (-64/45,-27/19) Hyperbolic Matrix(237,646,62,169) (-30/11,-19/7) -> (19/5,4/1) Hyperbolic Matrix(239,646,-138,-373) (-19/7,-8/3) -> (-26/15,-19/11) Hyperbolic Matrix(577,1530,-244,-647) (-8/3,-37/14) -> (-71/30,-26/11) Hyperbolic Matrix(4183,11050,1532,4047) (-37/14,-103/39) -> (101/37,71/26) Hyperbolic Matrix(6799,17952,-4224,-11153) (-103/39,-66/25) -> (-66/41,-169/105) Hyperbolic Matrix(1327,3502,374,987) (-66/25,-29/11) -> (39/11,32/9) Hyperbolic Matrix(749,1972,-542,-1427) (-29/11,-21/8) -> (-47/34,-29/21) Hyperbolic Matrix(545,1428,208,545) (-21/8,-34/13) -> (34/13,21/8) Hyperbolic Matrix(339,884,130,339) (-34/13,-13/5) -> (13/5,34/13) Hyperbolic Matrix(171,442,-118,-305) (-13/5,-18/7) -> (-16/11,-13/9) Hyperbolic Matrix(305,782,172,441) (-18/7,-23/9) -> (23/13,16/9) Hyperbolic Matrix(307,782,254,647) (-23/9,-28/11) -> (6/5,23/19) Hyperbolic Matrix(1191,3026,442,1123) (-28/11,-33/13) -> (35/13,62/23) Hyperbolic Matrix(1905,4828,698,1769) (-33/13,-38/15) -> (30/11,101/37) Hyperbolic Matrix(237,578,-98,-239) (-5/2,-17/7) -> (-17/7,-29/12) Parabolic Matrix(1633,3944,1014,2449) (-29/12,-70/29) -> (66/41,29/18) Hyperbolic Matrix(1733,4182,380,917) (-70/29,-41/17) -> (41/9,32/7) Hyperbolic Matrix(917,2210,578,1393) (-41/17,-12/5) -> (46/29,27/17) Hyperbolic Matrix(883,2108,142,339) (-43/18,-74/31) -> (6/1,25/4) Hyperbolic Matrix(4217,10064,-2450,-5847) (-74/31,-31/13) -> (-105/61,-74/43) Hyperbolic Matrix(885,2108,-542,-1291) (-31/13,-19/8) -> (-49/30,-31/19) Hyperbolic Matrix(545,1292,402,953) (-19/8,-45/19) -> (23/17,19/14) Hyperbolic Matrix(101,238,14,33) (-26/11,-7/3) -> (7/1,8/1) Hyperbolic Matrix(103,238,74,171) (-7/3,-16/7) -> (18/13,7/5) Hyperbolic Matrix(373,850,104,237) (-16/7,-25/11) -> (25/7,18/5) Hyperbolic Matrix(749,1700,330,749) (-25/11,-34/15) -> (34/15,25/11) Hyperbolic Matrix(271,612,120,271) (-34/15,-9/4) -> (9/4,34/15) Hyperbolic Matrix(169,374,-108,-239) (-9/4,-11/5) -> (-11/7,-25/16) Hyperbolic Matrix(1087,2380,248,543) (-11/5,-35/16) -> (35/8,57/13) Hyperbolic Matrix(171,374,16,35) (-35/16,-24/11) -> (10/1,1/0) Hyperbolic Matrix(407,884,250,543) (-24/11,-13/6) -> (13/8,44/27) Hyperbolic Matrix(1529,3298,-962,-2075) (-13/6,-28/13) -> (-62/39,-89/56) Hyperbolic Matrix(2243,4828,-1738,-3741) (-28/13,-43/20) -> (-111/86,-40/31) Hyperbolic Matrix(1361,2924,950,2041) (-43/20,-15/7) -> (53/37,43/30) Hyperbolic Matrix(239,510,112,239) (-15/7,-17/8) -> (17/8,15/7) Hyperbolic Matrix(611,1292,96,203) (-17/8,-19/9) -> (19/3,51/8) Hyperbolic Matrix(305,578,-162,-307) (-2/1,-17/9) -> (-17/9,-32/17) Parabolic Matrix(1699,3196,614,1155) (-32/17,-15/8) -> (83/30,36/13) Hyperbolic Matrix(237,442,200,373) (-15/8,-13/7) -> (13/11,19/16) Hyperbolic Matrix(239,442,166,307) (-13/7,-11/6) -> (23/16,13/9) Hyperbolic Matrix(169,306,-132,-239) (-11/6,-9/5) -> (-9/7,-23/18) Hyperbolic Matrix(341,612,190,341) (-9/5,-34/19) -> (34/19,9/5) Hyperbolic Matrix(951,1700,532,951) (-34/19,-25/14) -> (25/14,34/19) Hyperbolic Matrix(1735,3094,706,1259) (-66/37,-41/23) -> (27/11,32/13) Hyperbolic Matrix(611,1088,114,203) (-41/23,-16/9) -> (16/3,27/5) Hyperbolic Matrix(441,782,172,305) (-16/9,-23/13) -> (23/9,18/7) Hyperbolic Matrix(443,782,328,579) (-23/13,-30/17) -> (4/3,23/17) Hyperbolic Matrix(2583,4556,1156,2039) (-30/17,-67/38) -> (67/30,38/17) Hyperbolic Matrix(3569,6290,2218,3909) (-67/38,-37/21) -> (37/23,103/64) Hyperbolic Matrix(917,1598,136,237) (-7/4,-47/27) -> (47/7,27/4) Hyperbolic Matrix(3127,5440,-2424,-4217) (-47/27,-40/23) -> (-40/31,-89/69) Hyperbolic Matrix(1291,2244,508,883) (-40/23,-33/19) -> (33/13,28/11) Hyperbolic Matrix(1939,3366,1352,2347) (-33/19,-59/34) -> (43/30,33/23) Hyperbolic Matrix(1019,1768,-902,-1565) (-59/34,-26/15) -> (-26/23,-9/8) Hyperbolic Matrix(375,646,-256,-441) (-19/11,-31/18) -> (-3/2,-19/13) Hyperbolic Matrix(7445,12818,1678,2889) (-31/18,-136/79) -> (102/23,71/16) Hyperbolic Matrix(8671,14926,1956,3367) (-136/79,-105/61) -> (31/7,102/23) Hyperbolic Matrix(1225,2108,1028,1769) (-74/43,-43/25) -> (25/21,6/5) Hyperbolic Matrix(1325,2278,1008,1733) (-43/25,-55/32) -> (21/16,25/19) Hyperbolic Matrix(3977,6834,-3384,-5815) (-55/32,-67/39) -> (-67/57,-47/40) Hyperbolic Matrix(475,816,-436,-749) (-67/39,-12/7) -> (-12/11,-1/1) Hyperbolic Matrix(577,986,-498,-851) (-12/7,-41/24) -> (-7/6,-22/19) Hyperbolic Matrix(2311,3944,876,1495) (-70/41,-29/17) -> (29/11,66/25) Hyperbolic Matrix(579,986,340,579) (-29/17,-17/10) -> (17/10,29/17) Hyperbolic Matrix(101,170,60,101) (-17/10,-5/3) -> (5/3,17/10) Hyperbolic Matrix(849,1394,310,509) (-23/14,-41/25) -> (41/15,11/4) Hyperbolic Matrix(851,1394,478,783) (-41/25,-18/11) -> (16/9,41/23) Hyperbolic Matrix(3639,5950,770,1259) (-18/11,-85/52) -> (85/18,52/11) Hyperbolic Matrix(8467,13838,3558,5815) (-85/52,-67/41) -> (69/29,119/50) Hyperbolic Matrix(4183,6834,-2684,-4385) (-67/41,-49/30) -> (-53/34,-67/43) Hyperbolic Matrix(1293,2108,376,613) (-31/19,-44/27) -> (24/7,31/9) Hyperbolic Matrix(543,884,250,407) (-44/27,-13/8) -> (13/6,24/11) Hyperbolic Matrix(545,884,336,545) (-13/8,-34/21) -> (34/21,13/8) Hyperbolic Matrix(883,1428,546,883) (-34/21,-21/13) -> (21/13,34/21) Hyperbolic Matrix(443,714,-358,-577) (-21/13,-29/18) -> (-5/4,-21/17) Hyperbolic Matrix(781,1258,316,509) (-29/18,-66/41) -> (32/13,5/2) Hyperbolic Matrix(45967,73984,17406,28015) (-169/105,-272/169) -> (272/103,103/39) Hyperbolic Matrix(45969,73984,17408,28017) (-272/169,-103/64) -> (169/64,272/103) Hyperbolic Matrix(3571,5746,1036,1667) (-103/64,-37/23) -> (31/9,69/20) Hyperbolic Matrix(783,1258,572,919) (-37/23,-8/5) -> (26/19,37/27) Hyperbolic Matrix(1259,2006,150,239) (-51/32,-43/27) -> (25/3,17/2) Hyperbolic Matrix(1837,2924,556,885) (-43/27,-35/22) -> (33/10,43/13) Hyperbolic Matrix(3571,5678,2588,4115) (-35/22,-62/39) -> (40/29,69/50) Hyperbolic Matrix(2311,3672,1968,3127) (-89/56,-27/17) -> (27/23,47/40) Hyperbolic Matrix(1157,1836,472,749) (-27/17,-46/29) -> (22/9,27/11) Hyperbolic Matrix(3945,6256,944,1497) (-46/29,-111/70) -> (25/6,46/11) Hyperbolic Matrix(9521,15096,-7376,-11695) (-111/70,-65/41) -> (-71/55,-111/86) Hyperbolic Matrix(237,374,64,101) (-19/12,-11/7) -> (11/3,15/4) Hyperbolic Matrix(1089,1700,262,409) (-25/16,-64/41) -> (4/1,25/6) Hyperbolic Matrix(3639,5678,-2636,-4113) (-64/41,-39/25) -> (-29/21,-98/71) Hyperbolic Matrix(2311,3604,-1832,-2857) (-39/25,-53/34) -> (-53/42,-29/23) Hyperbolic Matrix(1463,2278,-1244,-1937) (-67/43,-14/9) -> (-20/17,-67/57) Hyperbolic Matrix(373,578,-242,-375) (-14/9,-17/11) -> (-17/11,-20/13) Parabolic Matrix(509,782,110,169) (-20/13,-3/2) -> (37/8,14/3) Hyperbolic Matrix(885,1292,-698,-1019) (-19/13,-16/11) -> (-52/41,-19/15) Hyperbolic Matrix(307,442,166,239) (-13/9,-23/16) -> (11/6,13/7) Hyperbolic Matrix(1871,2686,-1444,-2073) (-23/16,-33/23) -> (-35/27,-57/44) Hyperbolic Matrix(2039,2924,758,1087) (-33/23,-43/30) -> (43/16,35/13) Hyperbolic Matrix(2041,2924,950,1361) (-43/30,-53/37) -> (15/7,43/20) Hyperbolic Matrix(1259,1802,262,375) (-53/37,-10/7) -> (24/5,53/11) Hyperbolic Matrix(477,680,430,613) (-10/7,-57/40) -> (11/10,10/9) Hyperbolic Matrix(3367,4794,932,1327) (-47/33,-37/26) -> (65/18,47/13) Hyperbolic Matrix(5305,7548,2008,2857) (-37/26,-101/71) -> (103/39,37/14) Hyperbolic Matrix(9179,13056,3298,4691) (-101/71,-64/45) -> (64/23,103/37) Hyperbolic Matrix(647,918,456,647) (-27/19,-17/12) -> (17/12,27/19) Hyperbolic Matrix(169,238,120,169) (-17/12,-7/5) -> (7/5,17/12) Hyperbolic Matrix(171,238,74,103) (-7/5,-18/13) -> (16/7,7/3) Hyperbolic Matrix(6799,9384,1970,2719) (-98/71,-69/50) -> (69/20,38/11) Hyperbolic Matrix(4115,5678,2588,3571) (-69/50,-40/29) -> (62/39,35/22) Hyperbolic Matrix(715,986,124,171) (-40/29,-11/8) -> (23/4,6/1) Hyperbolic Matrix(545,748,298,409) (-11/8,-37/27) -> (31/17,11/6) Hyperbolic Matrix(919,1258,572,783) (-37/27,-26/19) -> (8/5,37/23) Hyperbolic Matrix(373,510,-324,-443) (-26/19,-15/11) -> (-15/13,-8/7) Hyperbolic Matrix(749,1020,550,749) (-15/11,-34/25) -> (34/25,15/11) Hyperbolic Matrix(951,1292,700,951) (-34/25,-19/14) -> (19/14,34/25) Hyperbolic Matrix(953,1292,402,545) (-19/14,-23/17) -> (45/19,19/8) Hyperbolic Matrix(579,782,328,443) (-23/17,-4/3) -> (30/17,23/13) Hyperbolic Matrix(441,578,-338,-443) (-4/3,-17/13) -> (-17/13,-30/23) Parabolic Matrix(2687,3502,966,1259) (-30/23,-43/33) -> (25/9,64/23) Hyperbolic Matrix(2245,2924,1306,1701) (-43/33,-13/10) -> (55/32,43/25) Hyperbolic Matrix(14279,18496,3254,4215) (-57/44,-136/105) -> (136/31,79/18) Hyperbolic Matrix(14281,18496,3256,4217) (-136/105,-79/61) -> (57/13,136/31) Hyperbolic Matrix(1393,1802,814,1053) (-22/17,-53/41) -> (53/31,12/7) Hyperbolic Matrix(2789,3604,-2262,-2923) (-53/41,-31/24) -> (-37/30,-53/43) Hyperbolic Matrix(4897,6324,3792,4897) (-31/24,-102/79) -> (102/79,31/24) Hyperbolic Matrix(11219,14484,8690,11219) (-102/79,-71/55) -> (71/55,102/79) Hyperbolic Matrix(475,612,52,67) (-49/38,-9/7) -> (9/1,19/2) Hyperbolic Matrix(985,1258,718,917) (-23/18,-37/29) -> (37/27,11/8) Hyperbolic Matrix(747,952,266,339) (-37/29,-14/11) -> (14/5,31/11) Hyperbolic Matrix(5271,6698,1954,2483) (-61/48,-47/37) -> (89/33,27/10) Hyperbolic Matrix(3025,3842,722,917) (-47/37,-80/63) -> (46/11,21/5) Hyperbolic Matrix(11389,14450,-8978,-11391) (-33/26,-85/67) -> (-85/67,-137/108) Parabolic Matrix(14179,17986,3244,4115) (-137/108,-52/41) -> (118/27,35/8) Hyperbolic Matrix(1021,1292,162,205) (-19/15,-43/34) -> (25/4,19/3) Hyperbolic Matrix(511,646,458,579) (-43/34,-24/19) -> (10/9,9/8) Hyperbolic Matrix(781,986,80,101) (-24/19,-53/42) -> (19/2,10/1) Hyperbolic Matrix(1565,1972,1242,1565) (-29/23,-34/27) -> (34/27,29/23) Hyperbolic Matrix(271,340,216,271) (-34/27,-5/4) -> (5/4,34/27) Hyperbolic Matrix(2039,2516,1432,1767) (-21/17,-37/30) -> (37/26,47/33) Hyperbolic Matrix(4387,5406,-3724,-4589) (-53/43,-16/13) -> (-86/73,-53/45) Hyperbolic Matrix(307,374,252,307) (-11/9,-17/14) -> (17/14,11/9) Hyperbolic Matrix(645,782,532,645) (-17/14,-23/19) -> (23/19,17/14) Hyperbolic Matrix(647,782,254,307) (-23/19,-6/5) -> (28/11,23/9) Hyperbolic Matrix(1769,2108,1028,1225) (-6/5,-25/21) -> (43/25,74/43) Hyperbolic Matrix(1087,1292,228,271) (-25/21,-19/16) -> (19/4,43/9) Hyperbolic Matrix(373,442,200,237) (-19/16,-13/11) -> (13/7,15/8) Hyperbolic Matrix(9147,10778,3550,4183) (-33/28,-86/73) -> (152/59,67/26) Hyperbolic Matrix(1939,2278,898,1055) (-47/40,-27/23) -> (41/19,13/6) Hyperbolic Matrix(1565,1836,1334,1565) (-27/23,-34/29) -> (34/29,27/23) Hyperbolic Matrix(407,476,348,407) (-34/29,-7/6) -> (7/6,34/29) Hyperbolic Matrix(1293,1496,1000,1157) (-22/19,-15/13) -> (53/41,22/17) Hyperbolic Matrix(509,578,-450,-511) (-8/7,-17/15) -> (-17/15,-26/23) Parabolic Matrix(579,646,458,511) (-9/8,-10/9) -> (24/19,43/34) Hyperbolic Matrix(679,748,246,271) (-10/9,-11/10) -> (11/4,58/21) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(1429,-1564,434,-475) (1/1,11/10) -> (79/24,135/41) Hyperbolic Matrix(1053,-1190,392,-443) (9/8,17/15) -> (51/19,43/16) Hyperbolic Matrix(477,-544,178,-203) (17/15,8/7) -> (8/3,51/19) Hyperbolic Matrix(443,-510,324,-373) (8/7,7/6) -> (41/30,26/19) Hyperbolic Matrix(6189,-7276,2602,-3059) (47/40,20/17) -> (88/37,157/66) Hyperbolic Matrix(749,-884,172,-203) (20/17,13/11) -> (13/3,48/11) Hyperbolic Matrix(305,-374,84,-103) (11/9,5/4) -> (29/8,11/3) Hyperbolic Matrix(2345,-2958,1052,-1327) (29/23,24/19) -> (78/35,29/13) Hyperbolic Matrix(2279,-2890,884,-1121) (19/15,33/26) -> (67/26,49/19) Hyperbolic Matrix(3535,-4488,1072,-1361) (33/26,47/37) -> (89/27,33/10) Hyperbolic Matrix(1257,-1598,188,-239) (47/37,14/11) -> (20/3,47/7) Hyperbolic Matrix(239,-306,132,-169) (14/11,9/7) -> (9/5,20/11) Hyperbolic Matrix(7513,-9690,2716,-3503) (49/38,40/31) -> (130/47,83/30) Hyperbolic Matrix(1633,-2108,526,-679) (40/31,71/55) -> (3/1,28/9) Hyperbolic Matrix(4657,-6018,1290,-1667) (31/24,53/41) -> (83/23,65/18) Hyperbolic Matrix(2073,-2686,1444,-1871) (22/17,35/27) -> (33/23,56/39) Hyperbolic Matrix(681,-884,104,-135) (35/27,13/10) -> (13/2,33/5) Hyperbolic Matrix(443,-578,338,-441) (13/10,17/13) -> (17/13,21/16) Parabolic Matrix(2041,-2788,1194,-1631) (15/11,41/30) -> (41/24,53/31) Hyperbolic Matrix(2857,-3944,1280,-1767) (69/50,29/21) -> (29/13,67/30) Hyperbolic Matrix(713,-986,222,-307) (29/21,18/13) -> (16/5,29/9) Hyperbolic Matrix(2415,-3434,884,-1257) (27/19,37/26) -> (71/26,41/15) Hyperbolic Matrix(2243,-3196,812,-1157) (47/33,10/7) -> (58/21,47/17) Hyperbolic Matrix(3433,-4930,782,-1123) (56/39,23/16) -> (79/18,22/5) Hyperbolic Matrix(305,-442,118,-171) (13/9,3/2) -> (31/12,13/5) Hyperbolic Matrix(375,-578,242,-373) (3/2,17/11) -> (17/11,31/20) Parabolic Matrix(239,-374,108,-169) (14/9,11/7) -> (11/5,20/9) Hyperbolic Matrix(815,-1292,258,-409) (19/12,46/29) -> (22/7,19/6) Hyperbolic Matrix(2075,-3298,962,-1529) (27/17,62/39) -> (28/13,41/19) Hyperbolic Matrix(341,-544,42,-67) (43/27,8/5) -> (8/1,25/3) Hyperbolic Matrix(11153,-17952,4224,-6799) (103/64,66/41) -> (66/25,169/64) Hyperbolic Matrix(1223,-1972,338,-545) (29/18,21/13) -> (47/13,29/8) Hyperbolic Matrix(1291,-2108,542,-885) (31/19,18/11) -> (50/21,31/13) Hyperbolic Matrix(103,-170,20,-33) (18/11,5/3) -> (5/1,16/3) Hyperbolic Matrix(1055,-1802,298,-509) (29/17,41/24) -> (7/2,39/11) Hyperbolic Matrix(3129,-5372,950,-1631) (12/7,67/39) -> (135/41,56/17) Hyperbolic Matrix(8331,-14314,3502,-6017) (67/39,55/32) -> (157/66,69/29) Hyperbolic Matrix(3773,-6494,850,-1463) (74/43,31/18) -> (71/16,40/9) Hyperbolic Matrix(1223,-2108,474,-817) (31/18,19/11) -> (49/19,31/12) Hyperbolic Matrix(373,-646,138,-239) (19/11,7/4) -> (27/10,19/7) Hyperbolic Matrix(271,-476,78,-137) (7/4,30/17) -> (38/11,7/2) Hyperbolic Matrix(781,-1394,172,-307) (41/23,25/14) -> (9/2,41/9) Hyperbolic Matrix(307,-578,162,-305) (15/8,17/9) -> (17/9,19/10) Parabolic Matrix(307,-646,48,-101) (2/1,17/8) -> (51/8,32/5) Hyperbolic Matrix(885,-1904,284,-611) (43/20,28/13) -> (28/9,25/8) Hyperbolic Matrix(2107,-4692,886,-1973) (20/9,49/22) -> (19/8,88/37) Hyperbolic Matrix(1393,-3298,302,-715) (26/11,45/19) -> (23/5,60/13) Hyperbolic Matrix(441,-1054,100,-239) (31/13,12/5) -> (22/5,31/7) Hyperbolic Matrix(239,-578,98,-237) (12/5,17/7) -> (17/7,22/9) Parabolic Matrix(713,-1802,256,-647) (5/2,33/13) -> (103/37,39/14) Hyperbolic Matrix(5611,-14450,2178,-5609) (18/7,85/33) -> (85/33,152/59) Parabolic Matrix(375,-986,116,-305) (21/8,29/11) -> (29/9,13/4) Hyperbolic Matrix(951,-2516,206,-545) (37/14,8/3) -> (60/13,37/8) Hyperbolic Matrix(5371,-14484,1942,-5237) (62/23,89/33) -> (47/17,130/47) Hyperbolic Matrix(1293,-3604,268,-747) (39/14,53/19) -> (53/11,29/6) Hyperbolic Matrix(1327,-3706,304,-849) (53/19,14/5) -> (48/11,83/19) Hyperbolic Matrix(407,-1292,86,-273) (19/6,16/5) -> (52/11,19/4) Hyperbolic Matrix(271,-884,42,-137) (13/4,36/11) -> (32/5,13/2) Hyperbolic Matrix(171,-578,50,-169) (10/3,17/5) -> (17/5,24/7) Parabolic Matrix(3129,-11288,716,-2583) (18/5,83/23) -> (83/19,118/27) Hyperbolic Matrix(239,-1122,36,-169) (14/3,33/7) -> (33/5,20/3) Hyperbolic Matrix(103,-578,18,-101) (11/2,17/3) -> (17/3,23/4) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(35,374,16,171) -> Matrix(1,-2,2,-3) Matrix(205,1972,92,885) -> Matrix(1,0,0,1) Matrix(67,612,52,475) -> Matrix(1,0,0,1) Matrix(35,306,4,35) -> Matrix(3,-2,2,-1) Matrix(67,544,-42,-341) -> Matrix(1,-2,0,1) Matrix(33,238,14,101) -> Matrix(1,0,0,1) Matrix(69,476,10,69) -> Matrix(5,-4,4,-3) Matrix(271,1836,40,271) -> Matrix(15,-16,16,-17) Matrix(239,1598,-188,-1257) -> Matrix(3,-4,-2,3) Matrix(135,884,-104,-681) -> Matrix(1,-2,2,-3) Matrix(137,884,-42,-271) -> Matrix(1,0,0,1) Matrix(205,1292,162,1021) -> Matrix(1,0,4,1) Matrix(169,1054,38,237) -> Matrix(1,0,2,1) Matrix(101,578,-18,-103) -> Matrix(7,-6,6,-5) Matrix(135,748,98,543) -> Matrix(1,-2,4,-7) Matrix(33,170,-20,-103) -> Matrix(1,0,-2,1) Matrix(69,340,14,69) -> Matrix(3,-2,2,-1) Matrix(407,1972,84,407) -> Matrix(23,-24,24,-25) Matrix(747,3604,-268,-1293) -> Matrix(7,-8,8,-9) Matrix(305,1462,92,441) -> Matrix(5,-6,6,-7) Matrix(271,1292,228,1087) -> Matrix(3,-4,4,-5) Matrix(273,1292,-86,-407) -> Matrix(1,-2,2,-3) Matrix(441,2074,-340,-1599) -> Matrix(1,-2,2,-3) Matrix(205,952,132,613) -> Matrix(1,-2,6,-11) Matrix(715,3298,-302,-1393) -> Matrix(1,-2,2,-3) Matrix(341,1564,104,477) -> Matrix(1,-4,2,-7) Matrix(307,1394,-172,-781) -> Matrix(1,-6,0,1) Matrix(239,1054,-100,-441) -> Matrix(1,0,-2,1) Matrix(681,2992,-526,-2311) -> Matrix(3,-2,2,-1) Matrix(543,2380,248,1087) -> Matrix(1,-2,2,-3) Matrix(203,884,-172,-749) -> Matrix(1,0,-2,1) Matrix(103,442,24,103) -> Matrix(3,-2,2,-1) Matrix(169,714,40,169) -> Matrix(7,-8,8,-9) Matrix(1259,5270,382,1599) -> Matrix(5,-6,6,-7) Matrix(407,1700,130,543) -> Matrix(3,-4,4,-5) Matrix(237,986,106,441) -> Matrix(1,-2,4,-7) Matrix(169,646,62,237) -> Matrix(1,0,0,1) Matrix(341,1292,90,341) -> Matrix(7,-6,6,-5) Matrix(271,1020,72,271) -> Matrix(7,-8,8,-9) Matrix(101,374,64,237) -> Matrix(1,-2,4,-7) Matrix(103,374,-84,-305) -> Matrix(1,-2,0,1) Matrix(237,850,104,373) -> Matrix(1,-6,2,-11) Matrix(477,1700,172,613) -> Matrix(1,0,2,1) Matrix(509,1802,-298,-1055) -> Matrix(1,0,0,1) Matrix(169,578,-50,-171) -> Matrix(3,-2,2,-1) Matrix(373,1258,-212,-715) -> Matrix(3,-4,-2,3) Matrix(577,1938,354,1189) -> Matrix(1,-2,4,-7) Matrix(441,1462,92,305) -> Matrix(5,-6,6,-7) Matrix(885,2924,556,1837) -> Matrix(1,-2,4,-7) Matrix(1361,4488,-1072,-3535) -> Matrix(1,-2,0,1) Matrix(475,1564,-434,-1429) -> Matrix(1,-2,2,-3) Matrix(4897,16116,1488,4897) -> Matrix(11,-20,16,-29) Matrix(1427,4692,434,1427) -> Matrix(1,-4,2,-7) Matrix(477,1564,104,341) -> Matrix(1,-4,2,-7) Matrix(239,782,-114,-373) -> Matrix(1,-2,0,1) Matrix(307,986,-222,-713) -> Matrix(1,-2,0,1) Matrix(1395,4454,586,1871) -> Matrix(1,0,2,1) Matrix(1463,4658,310,987) -> Matrix(1,-2,2,-3) Matrix(409,1292,-258,-815) -> Matrix(1,-2,0,1) Matrix(35,102,12,35) -> Matrix(1,-2,2,-3) Matrix(373,1054,132,373) -> Matrix(1,0,2,1) Matrix(375,1054,206,579) -> Matrix(1,0,2,1) Matrix(645,1802,-548,-1531) -> Matrix(1,0,-2,1) Matrix(1939,5406,1354,3775) -> Matrix(3,-2,8,-5) Matrix(647,1802,-256,-713) -> Matrix(1,-2,2,-3) Matrix(611,1700,464,1291) -> Matrix(1,-2,4,-7) Matrix(613,1700,172,477) -> Matrix(1,0,2,1) Matrix(307,850,160,443) -> Matrix(1,0,2,1) Matrix(3503,9690,-2716,-7513) -> Matrix(1,2,0,1) Matrix(1157,3196,-812,-2243) -> Matrix(1,0,-2,1) Matrix(273,748,50,137) -> Matrix(1,-2,2,-3) Matrix(1257,3434,-884,-2415) -> Matrix(1,0,-4,1) Matrix(237,646,62,169) -> Matrix(1,0,0,1) Matrix(239,646,-138,-373) -> Matrix(1,-2,0,1) Matrix(577,1530,-244,-647) -> Matrix(1,-2,2,-3) Matrix(4183,11050,1532,4047) -> Matrix(1,-2,0,1) Matrix(6799,17952,-4224,-11153) -> Matrix(1,-4,0,1) Matrix(1327,3502,374,987) -> Matrix(1,-2,2,-3) Matrix(749,1972,-542,-1427) -> Matrix(1,-4,0,1) Matrix(545,1428,208,545) -> Matrix(1,-8,2,-15) Matrix(339,884,130,339) -> Matrix(1,2,2,5) Matrix(171,442,-118,-305) -> Matrix(1,0,0,1) Matrix(305,782,172,441) -> Matrix(1,2,2,5) Matrix(307,782,254,647) -> Matrix(1,0,0,1) Matrix(1191,3026,442,1123) -> Matrix(1,-2,2,-3) Matrix(1905,4828,698,1769) -> Matrix(1,0,0,1) Matrix(237,578,-98,-239) -> Matrix(1,-4,0,1) Matrix(1633,3944,1014,2449) -> Matrix(1,2,2,5) Matrix(1733,4182,380,917) -> Matrix(1,0,2,1) Matrix(917,2210,578,1393) -> Matrix(1,2,2,5) Matrix(883,2108,142,339) -> Matrix(1,0,4,1) Matrix(4217,10064,-2450,-5847) -> Matrix(1,0,6,1) Matrix(885,2108,-542,-1291) -> Matrix(1,0,-2,1) Matrix(545,1292,402,953) -> Matrix(1,0,-2,1) Matrix(101,238,14,33) -> Matrix(1,0,0,1) Matrix(103,238,74,171) -> Matrix(1,-2,2,-3) Matrix(373,850,104,237) -> Matrix(1,-6,2,-11) Matrix(749,1700,330,749) -> Matrix(1,-18,2,-35) Matrix(271,612,120,271) -> Matrix(1,4,2,9) Matrix(169,374,-108,-239) -> Matrix(1,0,-2,1) Matrix(1087,2380,248,543) -> Matrix(1,-2,2,-3) Matrix(171,374,16,35) -> Matrix(1,-2,2,-3) Matrix(407,884,250,543) -> Matrix(1,-2,4,-7) Matrix(1529,3298,-962,-2075) -> Matrix(1,-2,-2,5) Matrix(2243,4828,-1738,-3741) -> Matrix(1,-2,0,1) Matrix(1361,2924,950,2041) -> Matrix(1,-2,2,-3) Matrix(239,510,112,239) -> Matrix(1,-8,2,-15) Matrix(611,1292,96,203) -> Matrix(1,4,2,9) Matrix(305,578,-162,-307) -> Matrix(1,-6,0,1) Matrix(1699,3196,614,1155) -> Matrix(1,6,2,13) Matrix(237,442,200,373) -> Matrix(1,2,2,5) Matrix(239,442,166,307) -> Matrix(1,2,2,5) Matrix(169,306,-132,-239) -> Matrix(1,0,0,1) Matrix(341,612,190,341) -> Matrix(1,-2,2,-3) Matrix(951,1700,532,951) -> Matrix(1,12,2,25) Matrix(1735,3094,706,1259) -> Matrix(1,2,2,5) Matrix(611,1088,114,203) -> Matrix(1,2,2,5) Matrix(441,782,172,305) -> Matrix(1,2,2,5) Matrix(443,782,328,579) -> Matrix(1,2,0,1) Matrix(2583,4556,1156,2039) -> Matrix(1,2,2,5) Matrix(3569,6290,2218,3909) -> Matrix(1,2,2,5) Matrix(917,1598,136,237) -> Matrix(7,6,8,7) Matrix(3127,5440,-2424,-4217) -> Matrix(1,0,2,1) Matrix(1291,2244,508,883) -> Matrix(1,0,2,1) Matrix(1939,3366,1352,2347) -> Matrix(1,0,4,1) Matrix(1019,1768,-902,-1565) -> Matrix(1,0,2,1) Matrix(375,646,-256,-441) -> Matrix(1,0,2,1) Matrix(7445,12818,1678,2889) -> Matrix(1,0,12,1) Matrix(8671,14926,1956,3367) -> Matrix(1,0,-10,1) Matrix(1225,2108,1028,1769) -> Matrix(1,0,0,1) Matrix(1325,2278,1008,1733) -> Matrix(1,0,4,1) Matrix(3977,6834,-3384,-5815) -> Matrix(1,0,-2,1) Matrix(475,816,-436,-749) -> Matrix(1,0,0,1) Matrix(577,986,-498,-851) -> Matrix(1,0,0,1) Matrix(2311,3944,876,1495) -> Matrix(1,-2,2,-3) Matrix(579,986,340,579) -> Matrix(1,0,2,1) Matrix(101,170,60,101) -> Matrix(1,2,2,5) Matrix(849,1394,310,509) -> Matrix(3,2,4,3) Matrix(851,1394,478,783) -> Matrix(5,2,12,5) Matrix(3639,5950,770,1259) -> Matrix(7,2,10,3) Matrix(8467,13838,3558,5815) -> Matrix(1,0,4,1) Matrix(4183,6834,-2684,-4385) -> Matrix(1,0,0,1) Matrix(1293,2108,376,613) -> Matrix(1,0,2,1) Matrix(543,884,250,407) -> Matrix(3,2,4,3) Matrix(545,884,336,545) -> Matrix(1,0,6,1) Matrix(883,1428,546,883) -> Matrix(1,0,0,1) Matrix(443,714,-358,-577) -> Matrix(1,0,0,1) Matrix(781,1258,316,509) -> Matrix(1,-2,2,-3) Matrix(45967,73984,17406,28015) -> Matrix(5,8,8,13) Matrix(45969,73984,17408,28017) -> Matrix(7,4,12,7) Matrix(3571,5746,1036,1667) -> Matrix(1,0,2,1) Matrix(783,1258,572,919) -> Matrix(1,0,4,1) Matrix(1259,2006,150,239) -> Matrix(5,4,6,5) Matrix(1837,2924,556,885) -> Matrix(3,2,4,3) Matrix(3571,5678,2588,4115) -> Matrix(1,2,2,5) Matrix(2311,3672,1968,3127) -> Matrix(1,0,6,1) Matrix(1157,1836,472,749) -> Matrix(1,-2,2,-3) Matrix(3945,6256,944,1497) -> Matrix(3,2,4,3) Matrix(9521,15096,-7376,-11695) -> Matrix(1,2,0,1) Matrix(237,374,64,101) -> Matrix(3,2,4,3) Matrix(1089,1700,262,409) -> Matrix(7,2,10,3) Matrix(3639,5678,-2636,-4113) -> Matrix(7,2,-4,-1) Matrix(2311,3604,-1832,-2857) -> Matrix(1,0,-2,1) Matrix(1463,2278,-1244,-1937) -> Matrix(1,0,0,1) Matrix(373,578,-242,-375) -> Matrix(1,0,4,1) Matrix(509,782,110,169) -> Matrix(1,-2,2,-3) Matrix(885,1292,-698,-1019) -> Matrix(1,0,-2,1) Matrix(307,442,166,239) -> Matrix(1,2,2,5) Matrix(1871,2686,-1444,-2073) -> Matrix(1,0,2,1) Matrix(2039,2924,758,1087) -> Matrix(3,2,4,3) Matrix(2041,2924,950,1361) -> Matrix(1,-2,2,-3) Matrix(1259,1802,262,375) -> Matrix(7,6,8,7) Matrix(477,680,430,613) -> Matrix(1,0,4,1) Matrix(3367,4794,932,1327) -> Matrix(3,2,4,3) Matrix(5305,7548,2008,2857) -> Matrix(3,2,4,3) Matrix(9179,13056,3298,4691) -> Matrix(7,2,10,3) Matrix(647,918,456,647) -> Matrix(1,0,10,1) Matrix(169,238,120,169) -> Matrix(1,0,0,1) Matrix(171,238,74,103) -> Matrix(1,-2,2,-3) Matrix(6799,9384,1970,2719) -> Matrix(1,2,0,1) Matrix(4115,5678,2588,3571) -> Matrix(1,2,2,5) Matrix(715,986,124,171) -> Matrix(3,4,2,3) Matrix(545,748,298,409) -> Matrix(1,0,4,1) Matrix(919,1258,572,783) -> Matrix(1,0,4,1) Matrix(373,510,-324,-443) -> Matrix(1,0,2,1) Matrix(749,1020,550,749) -> Matrix(1,0,10,1) Matrix(951,1292,700,951) -> Matrix(1,0,-8,1) Matrix(953,1292,402,545) -> Matrix(1,0,-2,1) Matrix(579,782,328,443) -> Matrix(3,-2,8,-5) Matrix(441,578,-338,-443) -> Matrix(1,0,4,1) Matrix(2687,3502,966,1259) -> Matrix(5,-2,8,-3) Matrix(2245,2924,1306,1701) -> Matrix(1,0,0,1) Matrix(14279,18496,3254,4215) -> Matrix(7,-6,6,-5) Matrix(14281,18496,3256,4217) -> Matrix(5,-6,6,-7) Matrix(1393,1802,814,1053) -> Matrix(1,0,2,1) Matrix(2789,3604,-2262,-2923) -> Matrix(1,0,0,1) Matrix(4897,6324,3792,4897) -> Matrix(1,0,0,1) Matrix(11219,14484,8690,11219) -> Matrix(1,-2,2,-3) Matrix(475,612,52,67) -> Matrix(1,0,0,1) Matrix(985,1258,718,917) -> Matrix(1,0,4,1) Matrix(747,952,266,339) -> Matrix(1,0,2,1) Matrix(5271,6698,1954,2483) -> Matrix(5,4,6,5) Matrix(3025,3842,722,917) -> Matrix(5,4,6,5) Matrix(11389,14450,-8978,-11391) -> Matrix(1,2,-2,-3) Matrix(14179,17986,3244,4115) -> Matrix(3,2,4,3) Matrix(1021,1292,162,205) -> Matrix(1,0,4,1) Matrix(511,646,458,579) -> Matrix(1,0,4,1) Matrix(781,986,80,101) -> Matrix(1,0,4,1) Matrix(1565,1972,1242,1565) -> Matrix(1,0,14,1) Matrix(271,340,216,271) -> Matrix(1,0,0,1) Matrix(2039,2516,1432,1767) -> Matrix(1,0,4,1) Matrix(4387,5406,-3724,-4589) -> Matrix(1,0,-2,1) Matrix(307,374,252,307) -> Matrix(1,0,4,1) Matrix(645,782,532,645) -> Matrix(1,0,-2,1) Matrix(647,782,254,307) -> Matrix(1,0,0,1) Matrix(1769,2108,1028,1225) -> Matrix(1,0,0,1) Matrix(1087,1292,228,271) -> Matrix(3,-4,4,-5) Matrix(373,442,200,237) -> Matrix(1,2,2,5) Matrix(9147,10778,3550,4183) -> Matrix(1,0,2,1) Matrix(1939,2278,898,1055) -> Matrix(3,2,4,3) Matrix(1565,1836,1334,1565) -> Matrix(1,0,10,1) Matrix(407,476,348,407) -> Matrix(1,0,0,1) Matrix(1293,1496,1000,1157) -> Matrix(1,0,2,1) Matrix(509,578,-450,-511) -> Matrix(1,0,2,1) Matrix(579,646,458,511) -> Matrix(1,0,4,1) Matrix(679,748,246,271) -> Matrix(1,0,2,1) Matrix(1,0,2,1) -> Matrix(1,0,2,1) Matrix(1429,-1564,434,-475) -> Matrix(1,-2,2,-3) Matrix(1053,-1190,392,-443) -> Matrix(1,-2,2,-3) Matrix(477,-544,178,-203) -> Matrix(5,-2,8,-3) Matrix(443,-510,324,-373) -> Matrix(1,0,2,1) Matrix(6189,-7276,2602,-3059) -> Matrix(1,0,-2,1) Matrix(749,-884,172,-203) -> Matrix(1,0,-2,1) Matrix(305,-374,84,-103) -> Matrix(5,-2,8,-3) Matrix(2345,-2958,1052,-1327) -> Matrix(1,0,-4,1) Matrix(2279,-2890,884,-1121) -> Matrix(1,0,-2,1) Matrix(3535,-4488,1072,-1361) -> Matrix(5,-2,8,-3) Matrix(1257,-1598,188,-239) -> Matrix(11,-4,14,-5) Matrix(239,-306,132,-169) -> Matrix(1,0,0,1) Matrix(7513,-9690,2716,-3503) -> Matrix(3,-2,8,-5) Matrix(1633,-2108,526,-679) -> Matrix(1,0,0,1) Matrix(4657,-6018,1290,-1667) -> Matrix(5,-2,8,-3) Matrix(2073,-2686,1444,-1871) -> Matrix(1,0,2,1) Matrix(681,-884,104,-135) -> Matrix(1,-2,2,-3) Matrix(443,-578,338,-441) -> Matrix(1,0,4,1) Matrix(2041,-2788,1194,-1631) -> Matrix(1,0,-2,1) Matrix(2857,-3944,1280,-1767) -> Matrix(5,-2,18,-7) Matrix(713,-986,222,-307) -> Matrix(5,-2,8,-3) Matrix(2415,-3434,884,-1257) -> Matrix(1,0,-4,1) Matrix(2243,-3196,812,-1157) -> Matrix(1,0,-2,1) Matrix(3433,-4930,782,-1123) -> Matrix(7,-2,4,-1) Matrix(305,-442,118,-171) -> Matrix(1,0,0,1) Matrix(375,-578,242,-373) -> Matrix(1,0,4,1) Matrix(239,-374,108,-169) -> Matrix(1,0,-2,1) Matrix(815,-1292,258,-409) -> Matrix(5,-2,8,-3) Matrix(2075,-3298,962,-1529) -> Matrix(9,-2,14,-3) Matrix(341,-544,42,-67) -> Matrix(5,-2,8,-3) Matrix(11153,-17952,4224,-6799) -> Matrix(9,-4,16,-7) Matrix(1223,-1972,338,-545) -> Matrix(5,-2,8,-3) Matrix(1291,-2108,542,-885) -> Matrix(1,0,-2,1) Matrix(103,-170,20,-33) -> Matrix(1,0,-2,1) Matrix(1055,-1802,298,-509) -> Matrix(1,0,0,1) Matrix(3129,-5372,950,-1631) -> Matrix(1,-2,2,-3) Matrix(8331,-14314,3502,-6017) -> Matrix(1,0,0,1) Matrix(3773,-6494,850,-1463) -> Matrix(1,0,4,1) Matrix(1223,-2108,474,-817) -> Matrix(1,0,-2,1) Matrix(373,-646,138,-239) -> Matrix(5,-2,8,-3) Matrix(271,-476,78,-137) -> Matrix(5,-2,8,-3) Matrix(781,-1394,172,-307) -> Matrix(13,-6,24,-11) Matrix(307,-578,162,-305) -> Matrix(13,-6,24,-11) Matrix(307,-646,48,-101) -> Matrix(5,-2,8,-3) Matrix(885,-1904,284,-611) -> Matrix(3,-2,8,-5) Matrix(2107,-4692,886,-1973) -> Matrix(1,0,0,1) Matrix(1393,-3298,302,-715) -> Matrix(1,-2,2,-3) Matrix(441,-1054,100,-239) -> Matrix(1,0,-2,1) Matrix(239,-578,98,-237) -> Matrix(9,-4,16,-7) Matrix(713,-1802,256,-647) -> Matrix(1,-2,2,-3) Matrix(5611,-14450,2178,-5609) -> Matrix(3,-2,2,-1) Matrix(375,-986,116,-305) -> Matrix(3,-2,8,-5) Matrix(951,-2516,206,-545) -> Matrix(1,0,0,1) Matrix(5371,-14484,1942,-5237) -> Matrix(5,-4,14,-11) Matrix(1293,-3604,268,-747) -> Matrix(7,-8,8,-9) Matrix(1327,-3706,304,-849) -> Matrix(1,0,0,1) Matrix(407,-1292,86,-273) -> Matrix(1,-2,2,-3) Matrix(271,-884,42,-137) -> Matrix(1,0,0,1) Matrix(171,-578,50,-169) -> Matrix(3,-2,2,-1) Matrix(3129,-11288,716,-2583) -> Matrix(3,-2,8,-5) Matrix(239,-1122,36,-169) -> Matrix(1,0,0,1) Matrix(103,-578,18,-101) -> Matrix(7,-6,6,-5) 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): 58 Degree of the the map X: 58 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.