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: 64 Genus: 113 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -51/16 0/1 1/1 17/15 17/14 17/13 17/12 3/2 17/11 17/10 17/9 2/1 17/8 136/61 34/15 136/57 12/5 17/7 5/2 85/33 34/13 68/25 17/6 3/1 102/31 17/5 7/2 68/19 18/5 11/3 374/101 34/9 4/1 17/4 30/7 13/3 136/31 22/5 102/23 9/2 14/3 136/29 24/5 34/7 5/1 68/13 16/3 11/2 28/5 17/3 6/1 19/3 32/5 13/2 20/3 34/5 7/1 8/1 17/2 26/3 9/1 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -9/1 0/1 1/4 -17/2 1/3 -8/1 1/3 1/2 -7/1 0/1 1/3 -20/3 1/3 2/5 -13/2 1/3 2/5 -19/3 1/2 1/1 -25/4 2/5 1/2 -6/1 1/2 -17/3 0/1 -28/5 0/1 1/3 -11/2 0/1 1/3 -16/3 1/2 1/1 -5/1 0/1 1/2 -24/5 0/1 1/5 -43/9 2/9 1/4 -19/4 1/4 1/3 -33/7 0/1 1/3 -47/10 0/1 1/3 -61/13 -1/1 0/1 -14/3 1/4 -9/2 0/1 1/4 -40/9 2/7 1/3 -31/7 1/3 3/8 -22/5 1/2 -57/13 0/1 1/5 -35/8 0/1 1/3 -13/3 0/1 1/3 -43/10 2/5 1/2 -30/7 1/2 -17/4 0/1 -4/1 0/1 1/3 -15/4 1/3 1/2 -26/7 1/2 -63/17 0/1 1/4 -37/10 1/4 1/3 -11/3 0/1 1/3 -18/5 1/2 -25/7 0/1 1/6 -32/9 1/4 1/3 -7/2 0/1 1/3 -31/9 1/4 1/3 -24/7 2/7 1/3 -17/5 1/3 -10/3 1/2 -53/16 1/5 1/4 -43/13 0/1 1/4 -33/10 0/1 1/3 -56/17 1/4 1/3 -23/7 1/3 2/5 -36/11 3/7 1/2 -49/15 1/2 3/5 -13/4 0/1 1/1 -42/13 1/6 -29/9 0/1 1/4 -16/5 1/4 1/3 -51/16 1/3 -35/11 0/1 1/3 -19/6 1/4 1/3 -3/1 1/3 1/2 -20/7 2/7 1/3 -17/6 1/3 -14/5 3/8 -11/4 1/3 2/5 -30/11 1/2 -19/7 1/3 1/2 -46/17 1/2 -27/10 0/1 1/3 -8/3 1/3 1/2 -13/5 1/3 4/11 -44/17 1/3 2/5 -31/12 1/3 3/8 -18/7 3/8 -23/9 1/3 2/5 -28/11 1/3 2/5 -33/13 1/3 2/5 -5/2 2/5 1/2 -27/11 2/5 3/7 -22/9 1/2 -17/7 1/2 -12/5 1/3 1/2 -55/23 1/3 2/5 -43/18 0/1 1/2 -74/31 1/2 -31/13 1/3 1/2 -19/8 1/3 1/2 -26/11 1/2 -85/36 1/3 -59/25 4/11 3/8 -33/14 1/3 2/5 -40/17 1/3 2/5 -7/3 2/5 3/7 -30/13 1/2 -23/10 3/7 4/9 -16/7 5/11 1/2 -9/4 1/2 2/3 -38/17 1/2 -29/13 0/1 1/0 -78/35 1/6 -49/22 1/4 1/3 -20/9 0/1 1/3 -31/14 1/3 3/8 -11/5 1/3 2/5 -35/16 2/5 3/7 -59/27 4/9 1/2 -24/11 2/5 3/7 -13/6 3/7 4/9 -41/19 4/9 13/29 -28/13 4/9 5/11 -43/20 6/13 1/2 -15/7 7/15 1/2 -32/15 13/27 1/2 -17/8 1/2 -2/1 1/2 -17/9 1/2 -15/8 1/2 7/13 -28/15 5/9 4/7 -13/7 4/7 3/5 -24/13 3/5 2/3 -35/19 3/5 2/3 -11/6 2/3 1/1 -31/17 3/4 1/1 -20/11 0/1 1/1 -49/27 1/1 1/0 -78/43 -1/2 -107/59 -1/8 0/1 -136/75 0/1 -29/16 0/1 1/4 -67/37 0/1 1/3 -38/21 1/2 -9/5 2/5 1/2 -34/19 1/2 -25/14 1/2 12/23 -16/9 1/2 5/9 -23/13 4/7 3/5 -7/4 3/5 2/3 -47/27 2/3 5/7 -40/23 2/3 1/1 -33/19 2/3 1/1 -59/34 3/4 4/5 -26/15 1/2 -19/11 1/2 1/1 -69/40 2/3 1/1 -119/69 1/1 -50/29 1/2 -31/18 1/2 1/1 -136/79 0/1 2/3 -105/61 1/2 1/1 -74/43 1/2 -43/25 0/1 1/2 -55/32 2/3 1/1 -12/7 1/2 1/1 -17/10 1/2 -22/13 1/2 -27/16 3/5 2/3 -32/19 1/2 3/5 -37/22 1/2 3/5 -5/3 1/2 2/3 -18/11 3/4 -85/52 1/1 -67/41 2/3 1/1 -49/30 3/4 1/1 -31/19 3/4 1/1 -44/27 2/3 1/1 -13/8 4/5 1/1 -34/21 1/1 -21/13 1/1 2/1 -8/5 1/2 1/1 -27/17 0/1 1/1 -46/29 1/2 -65/41 1/1 1/0 -19/12 1/2 1/1 -68/43 0/1 2/3 -49/31 1/2 1/1 -30/19 1/2 -101/64 2/3 1/1 -71/45 1/2 1/1 -41/26 0/1 1/1 -11/7 2/3 1/1 -36/23 1/2 3/5 -25/16 2/3 3/4 -14/9 3/4 -17/11 1/1 -20/13 1/1 2/1 -3/2 1/2 1/1 -19/13 1/1 1/0 -16/11 1/1 1/0 -13/9 0/1 1/3 -36/25 1/2 3/5 -23/16 2/3 1/1 -102/71 1/1 -79/55 1/1 4/3 -56/39 1/1 1/0 -89/62 0/1 1/1 -33/23 0/1 1/1 -10/7 1/2 -17/12 1/1 -24/17 1/1 2/1 -31/22 1/1 1/0 -100/71 1/1 1/0 -69/49 1/1 2/1 -38/27 1/0 -7/5 0/1 1/1 -39/28 0/1 1/0 -32/23 1/1 1/0 -25/18 -1/2 0/1 -68/49 0/1 -43/31 0/1 1/6 -18/13 1/2 -29/21 0/1 1/0 -98/71 1/2 -69/50 0/1 1/1 -40/29 0/1 1/1 -11/8 0/1 1/1 -37/27 1/1 1/0 -137/100 0/1 1/1 -374/273 1/1 -237/173 1/1 2/1 -100/73 1/1 1/0 -63/46 0/1 1/0 -26/19 1/2 -15/11 1/2 1/1 -34/25 1/1 -19/14 1/1 1/0 -4/3 0/1 1/1 -17/13 0/1 -30/23 1/2 -43/33 1/2 2/3 -13/10 0/1 1/1 -48/37 0/1 1/1 -83/64 1/2 1/1 -35/27 0/1 1/1 -57/44 -1/1 0/1 -136/105 0/1 -79/61 0/1 1/5 -22/17 1/2 -53/41 1/2 1/1 -31/24 3/4 1/1 -102/79 1/1 -71/55 1/1 7/6 -40/31 1/1 2/1 -49/38 -1/1 1/0 -9/7 0/1 1/0 -32/25 1/3 1/2 -23/18 0/1 1/1 -14/11 1/0 -75/59 -1/5 0/1 -136/107 0/1 -61/48 0/1 1/5 -47/37 0/1 1/1 -80/63 1/2 1/1 -33/26 0/1 1/1 -85/67 1/1 -52/41 1/1 1/0 -19/15 1/1 1/0 -43/34 -2/1 1/0 -67/53 -1/1 0/1 -24/19 -1/1 0/1 -29/23 -1/4 0/1 -34/27 0/1 -5/4 0/1 1/2 -26/21 1/0 -47/38 -1/5 0/1 -68/55 0/1 -21/17 0/1 1/5 -16/13 1/3 1/2 -11/9 0/1 1/1 -28/23 0/1 1/1 -17/14 0/1 -6/5 1/2 -25/21 1/2 2/3 -19/16 1/3 1/2 -51/43 1/2 -32/27 1/2 5/9 -13/11 2/3 1/1 -33/28 2/3 1/1 -53/45 1/2 1/1 -20/17 2/3 1/1 -27/23 4/5 1/1 -34/29 1/1 -7/6 0/1 1/1 -8/7 1/2 1/1 -17/15 1/1 -26/23 3/2 -9/8 0/1 1/0 -19/17 -1/1 1/0 -10/9 1/2 -1/1 0/1 1/1 0/1 0/1 1/1 0/1 1/5 9/8 0/1 1/6 17/15 1/5 8/7 1/5 1/4 7/6 0/1 1/5 20/17 1/5 2/9 13/11 1/5 2/9 19/16 1/4 1/3 25/21 2/9 1/4 6/5 1/4 17/14 0/1 28/23 0/1 1/5 11/9 0/1 1/5 16/13 1/4 1/3 5/4 0/1 1/4 24/19 0/1 1/7 43/34 2/13 1/6 19/15 1/6 1/5 33/26 0/1 1/5 47/37 0/1 1/5 61/48 0/1 1/1 14/11 1/6 9/7 0/1 1/6 40/31 2/11 1/5 31/24 1/5 3/14 22/17 1/4 57/44 0/1 1/7 35/27 0/1 1/5 13/10 0/1 1/5 43/33 2/9 1/4 30/23 1/4 17/13 0/1 4/3 0/1 1/5 15/11 1/5 1/4 26/19 1/4 63/46 0/1 1/6 37/27 1/6 1/5 11/8 0/1 1/5 18/13 1/4 25/18 0/1 1/8 32/23 1/6 1/5 7/5 0/1 1/5 31/22 1/6 1/5 24/17 2/11 1/5 17/12 1/5 10/7 1/4 53/37 1/7 1/6 43/30 0/1 1/6 33/23 0/1 1/5 56/39 1/6 1/5 23/16 1/5 2/9 36/25 3/13 1/4 49/34 1/4 3/11 13/9 0/1 1/3 42/29 1/8 29/20 0/1 1/6 16/11 1/6 1/5 51/35 1/5 35/24 0/1 1/5 19/13 1/6 1/5 3/2 1/5 1/4 20/13 2/11 1/5 17/11 1/5 14/9 3/14 11/7 1/5 2/9 30/19 1/4 19/12 1/5 1/4 46/29 1/4 27/17 0/1 1/5 8/5 1/5 1/4 13/8 1/5 4/19 44/27 1/5 2/9 31/19 1/5 3/14 18/11 3/14 23/14 1/5 2/9 28/17 1/5 2/9 33/20 1/5 2/9 5/3 2/9 1/4 27/16 2/9 3/13 22/13 1/4 17/10 1/4 12/7 1/5 1/4 55/32 1/5 2/9 43/25 0/1 1/4 74/43 1/4 31/18 1/5 1/4 19/11 1/5 1/4 26/15 1/4 85/49 1/5 59/34 4/19 3/14 33/19 1/5 2/9 40/23 1/5 2/9 7/4 2/9 3/13 30/17 1/4 23/13 3/13 4/17 16/9 5/21 1/4 9/5 1/4 2/7 38/21 1/4 29/16 0/1 1/2 78/43 1/8 49/27 1/6 1/5 20/11 0/1 1/5 31/17 1/5 3/14 11/6 1/5 2/9 35/19 2/9 3/13 59/32 4/17 1/4 24/13 2/9 3/13 13/7 3/13 4/17 41/22 4/17 13/55 28/15 4/17 5/21 43/23 6/25 1/4 15/8 7/29 1/4 32/17 13/53 1/4 17/9 1/4 2/1 1/4 17/8 1/4 15/7 1/4 7/27 28/13 5/19 4/15 13/6 4/15 3/11 24/11 3/11 2/7 35/16 3/11 2/7 11/5 2/7 1/3 31/14 3/10 1/3 20/9 0/1 1/3 49/22 1/3 1/2 78/35 1/0 107/48 -1/6 0/1 136/61 0/1 29/13 0/1 1/6 67/30 0/1 1/5 38/17 1/4 9/4 2/9 1/4 34/15 1/4 25/11 1/4 12/47 16/7 1/4 5/19 23/10 4/15 3/11 7/3 3/11 2/7 47/20 2/7 5/17 40/17 2/7 1/3 33/14 2/7 1/3 59/25 3/10 4/13 26/11 1/4 19/8 1/4 1/3 69/29 2/7 1/3 119/50 1/3 50/21 1/4 31/13 1/4 1/3 136/57 0/1 2/7 105/44 1/4 1/3 74/31 1/4 43/18 0/1 1/4 55/23 2/7 1/3 12/5 1/4 1/3 17/7 1/4 22/9 1/4 27/11 3/11 2/7 32/13 1/4 3/11 37/15 1/4 3/11 5/2 1/4 2/7 18/7 3/10 85/33 1/3 67/26 2/7 1/3 49/19 3/10 1/3 31/12 3/10 1/3 44/17 2/7 1/3 13/5 4/13 1/3 34/13 1/3 21/8 1/3 2/5 8/3 1/4 1/3 27/10 0/1 1/3 46/17 1/4 65/24 1/3 1/2 19/7 1/4 1/3 68/25 0/1 2/7 49/18 1/4 1/3 30/11 1/4 101/37 2/7 1/3 71/26 1/4 1/3 41/15 0/1 1/3 11/4 2/7 1/3 36/13 1/4 3/11 25/9 2/7 3/10 14/5 3/10 17/6 1/3 20/7 1/3 2/5 3/1 1/4 1/3 19/6 1/3 1/2 16/5 1/3 1/2 13/4 0/1 1/5 36/11 1/4 3/11 23/7 2/7 1/3 102/31 1/3 79/24 1/3 4/11 56/17 1/3 1/2 89/27 0/1 1/3 33/10 0/1 1/3 10/3 1/4 17/5 1/3 24/7 1/3 2/5 31/9 1/3 1/2 100/29 1/3 1/2 69/20 1/3 2/5 38/11 1/2 7/2 0/1 1/3 39/11 0/1 1/2 32/9 1/3 1/2 25/7 0/1 1/0 68/19 0/1 43/12 0/1 1/8 18/5 1/4 29/8 0/1 1/2 98/27 1/4 69/19 0/1 1/3 40/11 0/1 1/3 11/3 0/1 1/3 37/10 1/3 1/2 137/37 0/1 1/3 374/101 1/3 237/64 1/3 2/5 100/27 1/3 1/2 63/17 0/1 1/2 26/7 1/4 15/4 1/4 1/3 34/9 1/3 19/5 1/3 1/2 4/1 0/1 1/3 17/4 0/1 30/7 1/4 43/10 1/4 2/7 13/3 0/1 1/3 48/11 0/1 1/3 83/19 1/4 1/3 35/8 0/1 1/3 57/13 0/1 1/1 136/31 0/1 79/18 0/1 1/7 22/5 1/4 53/12 1/4 1/3 31/7 3/10 1/3 102/23 1/3 71/16 1/3 7/20 40/9 1/3 2/5 49/11 1/2 1/1 9/2 0/1 1/2 32/7 1/5 1/4 23/5 0/1 1/3 14/3 1/2 75/16 -1/3 0/1 136/29 0/1 61/13 0/1 1/7 47/10 0/1 1/3 80/17 1/4 1/3 33/7 0/1 1/3 85/18 1/3 52/11 1/3 1/2 19/4 1/3 1/2 43/9 1/2 2/3 67/14 0/1 1/1 24/5 0/1 1/1 29/6 -1/2 0/1 34/7 0/1 5/1 0/1 1/4 26/5 1/2 47/9 -1/3 0/1 68/13 0/1 21/4 0/1 1/7 16/3 1/5 1/4 11/2 0/1 1/3 28/5 0/1 1/3 17/3 0/1 6/1 1/4 25/4 1/4 2/7 19/3 1/5 1/4 51/8 1/4 32/5 1/4 5/19 13/2 2/7 1/3 33/5 2/7 1/3 53/8 1/4 1/3 20/3 2/7 1/3 27/4 4/13 1/3 34/5 1/3 7/1 0/1 1/3 8/1 1/4 1/3 17/2 1/3 26/3 3/8 9/1 0/1 1/2 19/2 1/2 1/1 10/1 1/4 1/0 0/1 1/3 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(33,340,-10,-103) (-9/1,1/0) -> (-43/13,-33/10) Hyperbolic Matrix(203,1768,-86,-749) (-9/1,-17/2) -> (-85/36,-59/25) Hyperbolic Matrix(33,272,4,33) (-17/2,-8/1) -> (8/1,17/2) Hyperbolic Matrix(35,272,22,171) (-8/1,-7/1) -> (27/17,8/5) Hyperbolic Matrix(101,680,-86,-579) (-7/1,-20/3) -> (-20/17,-27/23) 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(339,2108,142,883) (-25/4,-6/1) -> (74/31,43/18) Hyperbolic Matrix(35,204,6,35) (-6/1,-17/3) -> (17/3,6/1) Hyperbolic Matrix(169,952,30,169) (-17/3,-28/5) -> (28/5,17/3) Hyperbolic Matrix(171,952,104,579) (-28/5,-11/2) -> (23/14,28/17) Hyperbolic Matrix(101,544,44,237) (-11/2,-16/3) -> (16/7,23/10) Hyperbolic Matrix(103,544,-32,-169) (-16/3,-5/1) -> (-29/9,-16/5) Hyperbolic Matrix(169,816,-134,-647) (-5/1,-24/5) -> (-24/19,-29/23) Hyperbolic Matrix(511,2448,-234,-1121) (-24/5,-43/9) -> (-59/27,-24/11) 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(953,4488,-664,-3127) (-33/7,-47/10) -> (-89/62,-33/23) Hyperbolic Matrix(681,3196,290,1361) (-47/10,-61/13) -> (7/3,47/20) Hyperbolic Matrix(407,1904,-320,-1497) (-61/13,-14/3) -> (-14/11,-75/59) Hyperbolic Matrix(103,476,-66,-305) (-14/3,-9/2) -> (-25/16,-14/9) Hyperbolic Matrix(443,1972,-206,-917) (-9/2,-40/9) -> (-28/13,-43/20) Hyperbolic Matrix(919,4080,-712,-3161) (-40/9,-31/7) -> (-71/55,-40/31) Hyperbolic Matrix(647,2856,-408,-1801) (-31/7,-22/5) -> (-46/29,-65/41) 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(679,2924,284,1223) (-13/3,-43/10) -> (43/18,55/23) Hyperbolic Matrix(443,1904,198,851) (-43/10,-30/7) -> (38/17,9/4) Hyperbolic Matrix(239,1020,56,239) (-30/7,-17/4) -> (17/4,30/7) Hyperbolic Matrix(33,136,8,33) (-17/4,-4/1) -> (4/1,17/4) Hyperbolic Matrix(35,136,-26,-101) (-4/1,-15/4) -> (-19/14,-4/3) Hyperbolic Matrix(237,884,100,373) (-15/4,-26/7) -> (26/11,19/8) Hyperbolic Matrix(477,1768,92,341) (-26/7,-63/17) -> (5/1,26/5) Hyperbolic Matrix(679,2516,-404,-1497) (-63/17,-37/10) -> (-37/22,-5/3) Hyperbolic Matrix(203,748,92,339) (-37/10,-11/3) -> (11/5,31/14) Hyperbolic Matrix(169,612,-66,-239) (-11/3,-18/5) -> (-18/7,-23/9) Hyperbolic Matrix(341,1224,-246,-883) (-18/5,-25/7) -> (-43/31,-18/13) Hyperbolic Matrix(477,1700,172,613) (-25/7,-32/9) -> (36/13,25/9) Hyperbolic Matrix(307,1088,-182,-645) (-32/9,-7/2) -> (-27/16,-32/19) Hyperbolic Matrix(511,1768,-324,-1121) (-7/2,-31/9) -> (-71/45,-41/26) Hyperbolic Matrix(613,2108,376,1293) (-31/9,-24/7) -> (44/27,31/19) Hyperbolic Matrix(239,816,70,239) (-24/7,-17/5) -> (17/5,24/7) Hyperbolic Matrix(101,340,30,101) (-17/5,-10/3) -> (10/3,17/5) Hyperbolic Matrix(1395,4624,626,2075) (-10/3,-53/16) -> (49/22,78/35) Hyperbolic Matrix(883,2924,472,1563) (-53/16,-43/13) -> (43/23,15/8) Hyperbolic Matrix(1361,4488,-1072,-3535) (-33/10,-56/17) -> (-80/63,-33/26) Hyperbolic Matrix(1735,5712,-1208,-3977) (-56/17,-23/7) -> (-79/55,-56/39) Hyperbolic Matrix(477,1564,104,341) (-23/7,-36/11) -> (32/7,23/5) Hyperbolic Matrix(645,2108,-302,-987) (-36/11,-49/15) -> (-15/7,-32/15) Hyperbolic Matrix(715,2312,-578,-1869) (-13/4,-42/13) -> (-26/21,-47/38) Hyperbolic Matrix(1053,3400,284,917) (-42/13,-29/9) -> (63/17,26/7) Hyperbolic Matrix(1257,4012,266,849) (-16/5,-51/16) -> (85/18,52/11) Hyperbolic Matrix(2413,7684,1014,3229) (-51/16,-35/11) -> (69/29,119/50) Hyperbolic Matrix(409,1292,-258,-815) (-19/6,-3/1) -> (-65/41,-19/12) Hyperbolic Matrix(237,680,130,373) (-3/1,-20/7) -> (20/11,31/17) Hyperbolic Matrix(239,680,84,239) (-20/7,-17/6) -> (17/6,20/7) Hyperbolic Matrix(169,476,60,169) (-17/6,-14/5) -> (14/5,17/6) Hyperbolic Matrix(171,476,-134,-373) (-14/5,-11/4) -> (-23/18,-14/11) Hyperbolic Matrix(373,1020,-162,-443) (-11/4,-30/11) -> (-30/13,-23/10) Hyperbolic Matrix(749,2040,-474,-1291) (-30/11,-19/7) -> (-49/31,-30/19) Hyperbolic Matrix(1055,2856,-816,-2209) (-19/7,-46/17) -> (-22/17,-53/41) Hyperbolic Matrix(679,1836,402,1087) (-46/17,-27/10) -> (27/16,22/13) Hyperbolic Matrix(101,272,88,237) (-27/10,-8/3) -> (8/7,7/6) Hyperbolic Matrix(103,272,-64,-169) (-8/3,-13/5) -> (-21/13,-8/5) Hyperbolic Matrix(341,884,184,477) (-13/5,-44/17) -> (24/13,13/7) Hyperbolic Matrix(815,2108,578,1495) (-44/17,-31/12) -> (31/22,24/17) Hyperbolic Matrix(817,2108,-474,-1223) (-31/12,-18/7) -> (-50/29,-31/18) Hyperbolic Matrix(373,952,306,781) (-23/9,-28/11) -> (28/23,11/9) Hyperbolic Matrix(883,2244,508,1291) (-28/11,-33/13) -> (33/19,40/23) Hyperbolic Matrix(511,1292,-282,-713) (-33/13,-5/2) -> (-29/16,-67/37) Hyperbolic Matrix(443,1088,-318,-781) (-5/2,-27/11) -> (-7/5,-39/28) Hyperbolic Matrix(749,1836,472,1157) (-27/11,-22/9) -> (46/29,27/17) Hyperbolic Matrix(307,748,126,307) (-22/9,-17/7) -> (17/7,22/9) Hyperbolic Matrix(169,408,70,169) (-17/7,-12/5) -> (12/5,17/7) Hyperbolic Matrix(2075,4964,-1634,-3909) (-12/5,-55/23) -> (-47/37,-80/63) Hyperbolic Matrix(1223,2924,284,679) (-55/23,-43/18) -> (43/10,13/3) 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(373,884,100,237) (-19/8,-26/11) -> (26/7,15/4) Hyperbolic Matrix(1123,2652,130,307) (-26/11,-85/36) -> (17/2,26/3) Hyperbolic Matrix(1701,4012,-778,-1835) (-59/25,-33/14) -> (-35/16,-59/27) Hyperbolic Matrix(953,2244,578,1361) (-33/14,-40/17) -> (28/17,33/20) Hyperbolic Matrix(781,1836,-362,-851) (-40/17,-7/3) -> (-41/19,-28/13) Hyperbolic Matrix(205,476,-146,-339) (-7/3,-30/13) -> (-38/27,-7/5) Hyperbolic Matrix(237,544,44,101) (-23/10,-16/7) -> (16/3,11/2) Hyperbolic Matrix(239,544,-134,-305) (-16/7,-9/4) -> (-25/14,-16/9) Hyperbolic Matrix(851,1904,198,443) (-9/4,-38/17) -> (30/7,43/10) Hyperbolic Matrix(1767,3944,-1280,-2857) (-38/17,-29/13) -> (-29/21,-98/71) Hyperbolic Matrix(4759,10608,-2624,-5849) (-29/13,-78/35) -> (-78/43,-107/59) Hyperbolic Matrix(885,1972,92,205) (-78/35,-49/22) -> (19/2,10/1) Hyperbolic Matrix(1803,4012,-1390,-3093) (-49/22,-20/9) -> (-48/37,-83/64) Hyperbolic Matrix(307,680,200,443) (-20/9,-31/14) -> (3/2,20/13) Hyperbolic Matrix(339,748,92,203) (-31/14,-11/5) -> (11/3,37/10) Hyperbolic Matrix(1087,2380,248,543) (-11/5,-35/16) -> (35/8,57/13) Hyperbolic Matrix(407,884,250,543) (-24/11,-13/6) -> (13/8,44/27) Hyperbolic Matrix(1259,2720,268,579) (-13/6,-41/19) -> (61/13,47/10) Hyperbolic Matrix(1361,2924,950,2041) (-43/20,-15/7) -> (53/37,43/30) Hyperbolic Matrix(1021,2176,160,341) (-32/15,-17/8) -> (51/8,32/5) Hyperbolic Matrix(33,68,16,33) (-17/8,-2/1) -> (2/1,17/8) Hyperbolic Matrix(35,68,18,35) (-2/1,-17/9) -> (17/9,2/1) Hyperbolic Matrix(579,1088,-488,-917) (-17/9,-15/8) -> (-19/16,-51/43) Hyperbolic Matrix(1055,1972,-818,-1529) (-15/8,-28/15) -> (-40/31,-49/38) Hyperbolic Matrix(985,1836,-566,-1055) (-28/15,-13/7) -> (-47/27,-40/23) Hyperbolic Matrix(477,884,184,341) (-13/7,-24/13) -> (44/17,13/5) Hyperbolic Matrix(1327,2448,-1050,-1937) (-24/13,-35/19) -> (-67/53,-24/19) Hyperbolic Matrix(1293,2380,998,1837) (-35/19,-11/6) -> (57/44,35/27) Hyperbolic Matrix(409,748,298,545) (-11/6,-31/17) -> (37/27,11/8) Hyperbolic Matrix(373,680,130,237) (-31/17,-20/11) -> (20/7,3/1) Hyperbolic Matrix(1123,2040,-954,-1733) (-20/11,-49/27) -> (-53/45,-20/17) Hyperbolic Matrix(2549,4624,1780,3229) (-49/27,-78/43) -> (10/7,53/37) Hyperbolic Matrix(10199,18496,4574,8295) (-107/59,-136/75) -> (136/61,29/13) Hyperbolic Matrix(10201,18496,4576,8297) (-136/75,-29/16) -> (107/48,136/61) Hyperbolic Matrix(3231,5848,1184,2143) (-67/37,-38/21) -> (30/11,101/37) Hyperbolic Matrix(1053,1904,808,1461) (-38/21,-9/5) -> (43/33,30/23) Hyperbolic Matrix(645,1156,284,509) (-9/5,-34/19) -> (34/15,25/11) Hyperbolic Matrix(647,1156,286,511) (-34/19,-25/14) -> (9/4,34/15) Hyperbolic Matrix(307,544,250,443) (-16/9,-23/13) -> (11/9,16/13) Hyperbolic Matrix(577,1020,-366,-647) (-23/13,-7/4) -> (-41/26,-11/7) Hyperbolic Matrix(1835,3196,1444,2515) (-7/4,-47/27) -> (47/37,61/48) Hyperbolic Matrix(2347,4080,646,1123) (-40/23,-33/19) -> (69/19,40/11) Hyperbolic Matrix(3095,5372,-2448,-4249) (-33/19,-59/34) -> (-43/34,-67/53) Hyperbolic Matrix(1019,1768,-902,-1565) (-59/34,-26/15) -> (-26/23,-9/8) Hyperbolic Matrix(511,884,374,647) (-26/15,-19/11) -> (15/11,26/19) Hyperbolic Matrix(2483,4284,-2108,-3637) (-19/11,-69/40) -> (-33/28,-53/45) Hyperbolic Matrix(4455,7684,3056,5271) (-69/40,-119/69) -> (51/35,35/24) Hyperbolic Matrix(3707,6392,1440,2483) (-119/69,-50/29) -> (18/7,85/33) Hyperbolic Matrix(10743,18496,4502,7751) (-31/18,-136/79) -> (136/57,105/44) Hyperbolic Matrix(10745,18496,4504,7753) (-136/79,-105/61) -> (31/13,136/57) Hyperbolic Matrix(1225,2108,1028,1769) (-74/43,-43/25) -> (25/21,6/5) Hyperbolic Matrix(1701,2924,1306,2245) (-43/25,-55/32) -> (13/10,43/33) Hyperbolic Matrix(2415,4148,-1682,-2889) (-55/32,-12/7) -> (-56/39,-89/62) Hyperbolic Matrix(239,408,140,239) (-12/7,-17/10) -> (17/10,12/7) Hyperbolic Matrix(441,748,260,441) (-17/10,-22/13) -> (22/13,17/10) Hyperbolic Matrix(1087,1836,402,679) (-22/13,-27/16) -> (27/10,46/17) Hyperbolic Matrix(2789,4692,-1980,-3331) (-32/19,-37/22) -> (-31/22,-100/71) Hyperbolic Matrix(373,612,-270,-443) (-5/3,-18/11) -> (-18/13,-29/21) Hyperbolic Matrix(3909,6392,1642,2685) (-18/11,-85/52) -> (119/50,50/21) Hyperbolic Matrix(5201,8500,1102,1801) (-85/52,-67/41) -> (33/7,85/18) Hyperbolic Matrix(4453,7276,-3434,-5611) (-67/41,-49/30) -> (-83/64,-35/27) 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(713,1156,272,441) (-13/8,-34/21) -> (34/13,21/8) Hyperbolic Matrix(715,1156,274,443) (-34/21,-21/13) -> (13/5,34/13) Hyperbolic Matrix(171,272,22,35) (-8/5,-27/17) -> (7/1,8/1) Hyperbolic Matrix(1157,1836,472,749) (-27/17,-46/29) -> (22/9,27/11) Hyperbolic Matrix(2923,4624,1074,1699) (-19/12,-68/43) -> (68/25,49/18) Hyperbolic Matrix(2925,4624,1076,1701) (-68/43,-49/31) -> (19/7,68/25) Hyperbolic Matrix(3705,5848,1658,2617) (-30/19,-101/64) -> (67/30,38/17) Hyperbolic Matrix(8533,13464,-6228,-9827) (-101/64,-71/45) -> (-37/27,-137/100) Hyperbolic Matrix(781,1224,238,373) (-11/7,-36/23) -> (36/11,23/7) Hyperbolic Matrix(1087,1700,782,1223) (-36/23,-25/16) -> (25/18,32/23) Hyperbolic Matrix(307,476,198,307) (-14/9,-17/11) -> (17/11,14/9) Hyperbolic Matrix(441,680,286,441) (-17/11,-20/13) -> (20/13,17/11) Hyperbolic Matrix(443,680,200,307) (-20/13,-3/2) -> (31/14,20/9) Hyperbolic Matrix(509,748,-394,-579) (-3/2,-19/13) -> (-53/41,-31/24) Hyperbolic Matrix(885,1292,-698,-1019) (-19/13,-16/11) -> (-52/41,-19/15) Hyperbolic Matrix(375,544,-304,-441) (-16/11,-13/9) -> (-21/17,-16/13) Hyperbolic Matrix(613,884,-518,-747) (-13/9,-36/25) -> (-32/27,-13/11) Hyperbolic Matrix(851,1224,308,443) (-36/25,-23/16) -> (11/4,36/13) Hyperbolic Matrix(7241,10404,2200,3161) (-23/16,-102/71) -> (102/31,79/24) Hyperbolic Matrix(7243,10404,2202,3163) (-102/71,-79/55) -> (23/7,102/31) Hyperbolic Matrix(237,340,-214,-307) (-33/23,-10/7) -> (-10/9,-1/1) Hyperbolic Matrix(239,340,168,239) (-10/7,-17/12) -> (17/12,10/7) Hyperbolic Matrix(577,816,408,577) (-17/12,-24/17) -> (24/17,17/12) Hyperbolic Matrix(1495,2108,578,815) (-24/17,-31/22) -> (31/12,44/17) Hyperbolic Matrix(21727,30600,-15860,-22337) (-100/71,-69/49) -> (-237/173,-100/73) Hyperbolic Matrix(6665,9384,1836,2585) (-69/49,-38/27) -> (98/27,69/19) Hyperbolic Matrix(4249,5916,-3102,-4319) (-39/28,-32/23) -> (-100/73,-63/46) Hyperbolic Matrix(783,1088,172,239) (-32/23,-25/18) -> (9/2,32/7) Hyperbolic Matrix(3331,4624,930,1291) (-25/18,-68/49) -> (68/19,43/12) Hyperbolic Matrix(3333,4624,932,1293) (-68/49,-43/31) -> (25/7,68/19) Hyperbolic Matrix(6799,9384,1970,2719) (-98/71,-69/50) -> (69/20,38/11) Hyperbolic Matrix(2957,4080,1256,1733) (-69/50,-40/29) -> (40/17,33/14) Hyperbolic Matrix(543,748,98,135) (-40/29,-11/8) -> (11/2,28/5) Hyperbolic Matrix(545,748,298,409) (-11/8,-37/27) -> (31/17,11/6) Hyperbolic Matrix(102101,139876,27572,37773) (-137/100,-374/273) -> (374/101,237/64) Hyperbolic Matrix(102103,139876,27574,37775) (-374/273,-237/173) -> (137/37,374/101) Hyperbolic Matrix(2483,3400,1714,2347) (-63/46,-26/19) -> (42/29,29/20) Hyperbolic Matrix(647,884,374,511) (-26/19,-15/11) -> (19/11,26/15) Hyperbolic Matrix(849,1156,224,305) (-15/11,-34/25) -> (34/9,19/5) Hyperbolic Matrix(851,1156,226,307) (-34/25,-19/14) -> (15/4,34/9) Hyperbolic Matrix(103,136,78,103) (-4/3,-17/13) -> (17/13,4/3) Hyperbolic Matrix(781,1020,598,781) (-17/13,-30/23) -> (30/23,17/13) Hyperbolic Matrix(1461,1904,808,1053) (-30/23,-43/33) -> (9/5,38/21) Hyperbolic Matrix(2245,2924,1306,1701) (-43/33,-13/10) -> (55/32,43/25) Hyperbolic Matrix(1837,2380,998,1293) (-35/27,-57/44) -> (11/6,35/19) 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(8057,10404,1816,2345) (-31/24,-102/79) -> (102/23,71/16) Hyperbolic Matrix(8059,10404,1818,2347) (-102/79,-71/55) -> (31/7,102/23) Hyperbolic Matrix(475,612,52,67) (-49/38,-9/7) -> (9/1,19/2) Hyperbolic Matrix(849,1088,238,305) (-9/7,-32/25) -> (32/9,25/7) Hyperbolic Matrix(1223,1564,850,1087) (-32/25,-23/18) -> (23/16,36/25) Hyperbolic Matrix(14551,18496,3102,3943) (-75/59,-136/107) -> (136/29,61/13) Hyperbolic Matrix(14553,18496,3104,3945) (-136/107,-61/48) -> (75/16,136/29) Hyperbolic Matrix(2141,2720,1150,1461) (-61/48,-47/37) -> (13/7,41/22) Hyperbolic Matrix(6699,8500,2600,3299) (-33/26,-85/67) -> (85/33,67/26) Hyperbolic Matrix(3163,4012,2172,2755) (-85/67,-52/41) -> (16/11,51/35) Hyperbolic Matrix(1021,1292,162,205) (-19/15,-43/34) -> (25/4,19/3) Hyperbolic Matrix(917,1156,188,237) (-29/23,-34/27) -> (34/7,5/1) Hyperbolic Matrix(919,1156,190,239) (-34/27,-5/4) -> (29/6,34/7) Hyperbolic Matrix(1427,1768,1042,1291) (-5/4,-26/21) -> (26/19,63/46) Hyperbolic Matrix(3739,4624,714,883) (-47/38,-68/55) -> (68/13,21/4) Hyperbolic Matrix(3741,4624,716,885) (-68/55,-21/17) -> (47/9,68/13) Hyperbolic Matrix(443,544,250,307) (-16/13,-11/9) -> (23/13,16/9) Hyperbolic Matrix(613,748,168,205) (-11/9,-28/23) -> (40/11,11/3) Hyperbolic Matrix(783,952,644,783) (-28/23,-17/14) -> (17/14,28/23) Hyperbolic Matrix(169,204,140,169) (-17/14,-6/5) -> (6/5,17/14) 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(1835,2176,974,1155) (-51/43,-32/27) -> (32/17,17/9) Hyperbolic Matrix(985,1156,144,169) (-27/23,-34/29) -> (34/5,7/1) Hyperbolic Matrix(987,1156,146,171) (-34/29,-7/6) -> (27/4,34/5) Hyperbolic Matrix(237,272,88,101) (-7/6,-8/7) -> (8/3,27/10) Hyperbolic Matrix(239,272,210,239) (-8/7,-17/15) -> (17/15,8/7) Hyperbolic Matrix(2345,2652,1352,1529) (-17/15,-26/23) -> (26/15,85/49) Hyperbolic Matrix(545,612,122,137) (-9/8,-19/17) -> (49/11,9/2) Hyperbolic Matrix(1767,1972,974,1087) (-19/17,-10/9) -> (78/43,49/27) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(307,-340,214,-237) (1/1,9/8) -> (43/30,33/23) Hyperbolic Matrix(1565,-1768,902,-1019) (9/8,17/15) -> (85/49,59/34) Hyperbolic Matrix(579,-680,86,-101) (7/6,20/17) -> (20/3,27/4) Hyperbolic Matrix(749,-884,172,-203) (20/17,13/11) -> (13/3,48/11) Hyperbolic Matrix(747,-884,518,-613) (13/11,19/16) -> (49/34,13/9) Hyperbolic Matrix(441,-544,304,-375) (16/13,5/4) -> (29/20,16/11) Hyperbolic Matrix(647,-816,134,-169) (5/4,24/19) -> (24/5,29/6) Hyperbolic Matrix(1937,-2448,1050,-1327) (24/19,43/34) -> (59/32,24/13) Hyperbolic Matrix(1019,-1292,698,-885) (19/15,33/26) -> (35/24,19/13) Hyperbolic Matrix(3535,-4488,1072,-1361) (33/26,47/37) -> (89/27,33/10) Hyperbolic Matrix(1497,-1904,320,-407) (61/48,14/11) -> (14/3,75/16) Hyperbolic Matrix(373,-476,134,-171) (14/11,9/7) -> (25/9,14/5) Hyperbolic Matrix(1529,-1972,818,-1055) (9/7,40/31) -> (28/15,43/23) Hyperbolic Matrix(3161,-4080,712,-919) (40/31,31/24) -> (71/16,40/9) Hyperbolic Matrix(2209,-2856,816,-1055) (31/24,22/17) -> (46/17,65/24) Hyperbolic Matrix(2311,-2992,526,-681) (22/17,57/44) -> (79/18,22/5) Hyperbolic Matrix(681,-884,104,-135) (35/27,13/10) -> (13/2,33/5) Hyperbolic Matrix(101,-136,26,-35) (4/3,15/11) -> (19/5,4/1) Hyperbolic Matrix(1837,-2516,744,-1019) (63/46,37/27) -> (37/15,5/2) Hyperbolic Matrix(443,-612,270,-373) (11/8,18/13) -> (18/11,23/14) Hyperbolic Matrix(883,-1224,246,-341) (18/13,25/18) -> (43/12,18/5) Hyperbolic Matrix(781,-1088,318,-443) (32/23,7/5) -> (27/11,32/13) Hyperbolic Matrix(1257,-1768,460,-647) (7/5,31/22) -> (71/26,41/15) Hyperbolic Matrix(3127,-4488,664,-953) (33/23,56/39) -> (80/17,33/7) Hyperbolic Matrix(3977,-5712,1208,-1735) (56/39,23/16) -> (79/24,56/17) Hyperbolic Matrix(1463,-2108,778,-1121) (36/25,49/34) -> (15/8,32/17) Hyperbolic Matrix(1597,-2312,306,-443) (13/9,42/29) -> (26/5,47/9) Hyperbolic Matrix(883,-1292,326,-477) (19/13,3/2) -> (65/24,19/7) Hyperbolic Matrix(305,-476,66,-103) (14/9,11/7) -> (23/5,14/3) Hyperbolic Matrix(647,-1020,366,-577) (11/7,30/19) -> (30/17,23/13) Hyperbolic Matrix(1291,-2040,474,-749) (30/19,19/12) -> (49/18,30/11) Hyperbolic Matrix(1801,-2856,408,-647) (19/12,46/29) -> (22/5,53/12) Hyperbolic Matrix(169,-272,64,-103) (8/5,13/8) -> (21/8,8/3) Hyperbolic Matrix(1291,-2108,542,-885) (31/19,18/11) -> (50/21,31/13) Hyperbolic Matrix(781,-1292,350,-579) (33/20,5/3) -> (29/13,67/30) Hyperbolic Matrix(645,-1088,182,-307) (5/3,27/16) -> (7/2,39/11) Hyperbolic Matrix(2889,-4964,614,-1055) (12/7,55/32) -> (47/10,80/17) Hyperbolic Matrix(5847,-10064,2450,-4217) (74/43,31/18) -> (105/44,74/31) Hyperbolic Matrix(1223,-2108,474,-817) (31/18,19/11) -> (49/19,31/12) Hyperbolic Matrix(2311,-4012,1254,-2177) (59/34,33/19) -> (35/19,59/32) Hyperbolic Matrix(1055,-1836,566,-985) (40/23,7/4) -> (41/22,28/15) Hyperbolic Matrix(271,-476,78,-137) (7/4,30/17) -> (38/11,7/2) Hyperbolic Matrix(305,-544,134,-239) (16/9,9/5) -> (25/11,16/7) Hyperbolic Matrix(2177,-3944,600,-1087) (38/21,29/16) -> (29/8,98/27) Hyperbolic Matrix(5849,-10608,2624,-4759) (29/16,78/43) -> (78/35,107/48) Hyperbolic Matrix(2209,-4012,506,-919) (49/27,20/11) -> (48/11,83/19) Hyperbolic Matrix(509,-1088,80,-171) (17/8,15/7) -> (19/3,51/8) Hyperbolic Matrix(917,-1972,206,-443) (15/7,28/13) -> (40/9,49/11) Hyperbolic Matrix(851,-1836,362,-781) (28/13,13/6) -> (47/20,40/17) Hyperbolic Matrix(1121,-2448,234,-511) (24/11,35/16) -> (67/14,24/5) Hyperbolic Matrix(917,-2040,138,-307) (20/9,49/22) -> (53/8,20/3) Hyperbolic Matrix(443,-1020,162,-373) (23/10,7/3) -> (41/15,11/4) Hyperbolic Matrix(2277,-5372,476,-1123) (33/14,59/25) -> (43/9,67/14) Hyperbolic Matrix(749,-1768,86,-203) (59/25,26/11) -> (26/3,9/1) Hyperbolic Matrix(1801,-4284,272,-647) (19/8,69/29) -> (33/5,53/8) Hyperbolic Matrix(1733,-4148,526,-1259) (55/23,12/5) -> (56/17,89/27) Hyperbolic Matrix(1903,-4692,552,-1361) (32/13,37/15) -> (31/9,100/29) Hyperbolic Matrix(239,-612,66,-169) (5/2,18/7) -> (18/5,29/8) Hyperbolic Matrix(2823,-7276,646,-1665) (67/26,49/19) -> (83/19,35/8) Hyperbolic Matrix(4931,-13464,1332,-3637) (101/37,71/26) -> (37/10,137/37) Hyperbolic Matrix(239,-748,54,-169) (3/1,19/6) -> (53/12,31/7) Hyperbolic Matrix(407,-1292,86,-273) (19/6,16/5) -> (52/11,19/4) Hyperbolic Matrix(169,-544,32,-103) (16/5,13/4) -> (21/4,16/3) Hyperbolic Matrix(271,-884,42,-137) (13/4,36/11) -> (32/5,13/2) Hyperbolic Matrix(103,-340,10,-33) (33/10,10/3) -> (10/1,1/0) Hyperbolic Matrix(8873,-30600,2396,-8263) (100/29,69/20) -> (237/64,100/27) Hyperbolic Matrix(1667,-5916,450,-1597) (39/11,32/9) -> (100/27,63/17) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(33,340,-10,-103) -> Matrix(1,0,0,1) Matrix(203,1768,-86,-749) -> Matrix(13,-4,36,-11) Matrix(33,272,4,33) -> Matrix(5,-2,18,-7) Matrix(35,272,22,171) -> Matrix(1,0,2,1) Matrix(101,680,-86,-579) -> Matrix(11,-4,14,-5) Matrix(135,884,-104,-681) -> Matrix(5,-2,8,-3) Matrix(137,884,-42,-271) -> Matrix(5,-2,8,-3) Matrix(205,1292,162,1021) -> Matrix(1,0,4,1) Matrix(339,2108,142,883) -> Matrix(5,-2,18,-7) Matrix(35,204,6,35) -> Matrix(1,0,2,1) Matrix(169,952,30,169) -> Matrix(1,0,0,1) Matrix(171,952,104,579) -> Matrix(7,-2,32,-9) Matrix(101,544,44,237) -> Matrix(9,-4,34,-15) Matrix(103,544,-32,-169) -> Matrix(1,0,2,1) Matrix(169,816,-134,-647) -> Matrix(1,0,-6,1) Matrix(511,2448,-234,-1121) -> Matrix(7,-2,18,-5) Matrix(271,1292,228,1087) -> Matrix(1,0,0,1) Matrix(273,1292,-86,-407) -> Matrix(1,0,0,1) Matrix(953,4488,-664,-3127) -> Matrix(1,0,-2,1) Matrix(681,3196,290,1361) -> Matrix(1,-2,4,-7) Matrix(407,1904,-320,-1497) -> Matrix(1,0,-4,1) Matrix(103,476,-66,-305) -> Matrix(5,-2,8,-3) Matrix(443,1972,-206,-917) -> Matrix(23,-6,50,-13) Matrix(919,4080,-712,-3161) -> Matrix(13,-4,10,-3) Matrix(647,2856,-408,-1801) -> Matrix(5,-2,8,-3) Matrix(681,2992,-526,-2311) -> Matrix(1,0,0,1) Matrix(543,2380,248,1087) -> Matrix(9,-2,32,-7) Matrix(203,884,-172,-749) -> Matrix(5,-2,8,-3) Matrix(679,2924,284,1223) -> Matrix(5,-2,18,-7) Matrix(443,1904,198,851) -> Matrix(1,0,2,1) Matrix(239,1020,56,239) -> Matrix(1,0,2,1) Matrix(33,136,8,33) -> Matrix(1,0,0,1) Matrix(35,136,-26,-101) -> Matrix(1,0,-2,1) Matrix(237,884,100,373) -> Matrix(5,-2,18,-7) Matrix(477,1768,92,341) -> Matrix(1,0,0,1) Matrix(679,2516,-404,-1497) -> Matrix(9,-2,14,-3) Matrix(203,748,92,339) -> Matrix(5,-2,18,-7) Matrix(169,612,-66,-239) -> Matrix(7,-2,18,-5) Matrix(341,1224,-246,-883) -> Matrix(1,0,0,1) Matrix(477,1700,172,613) -> Matrix(9,-2,32,-7) Matrix(307,1088,-182,-645) -> Matrix(9,-2,14,-3) Matrix(511,1768,-324,-1121) -> Matrix(1,0,-2,1) Matrix(613,2108,376,1293) -> Matrix(13,-4,62,-19) Matrix(239,816,70,239) -> Matrix(13,-4,36,-11) Matrix(101,340,30,101) -> Matrix(5,-2,18,-7) Matrix(1395,4624,626,2075) -> Matrix(1,0,-2,1) Matrix(883,2924,472,1563) -> Matrix(23,-6,96,-25) Matrix(1361,4488,-1072,-3535) -> Matrix(1,0,-2,1) Matrix(1735,5712,-1208,-3977) -> Matrix(7,-2,4,-1) Matrix(477,1564,104,341) -> Matrix(5,-2,18,-7) Matrix(645,2108,-302,-987) -> Matrix(19,-10,40,-21) Matrix(715,2312,-578,-1869) -> Matrix(1,0,-6,1) Matrix(1053,3400,284,917) -> Matrix(1,0,-2,1) Matrix(1257,4012,266,849) -> Matrix(7,-2,18,-5) Matrix(2413,7684,1014,3229) -> Matrix(5,-2,18,-7) Matrix(409,1292,-258,-815) -> Matrix(1,0,-2,1) Matrix(237,680,130,373) -> Matrix(7,-2,32,-9) Matrix(239,680,84,239) -> Matrix(13,-4,36,-11) Matrix(169,476,60,169) -> Matrix(17,-6,54,-19) Matrix(171,476,-134,-373) -> Matrix(5,-2,8,-3) Matrix(373,1020,-162,-443) -> Matrix(3,-2,8,-5) Matrix(749,2040,-474,-1291) -> Matrix(5,-2,8,-3) Matrix(1055,2856,-816,-2209) -> Matrix(5,-2,8,-3) Matrix(679,1836,402,1087) -> Matrix(3,-2,14,-9) Matrix(101,272,88,237) -> Matrix(1,0,2,1) Matrix(103,272,-64,-169) -> Matrix(5,-2,8,-3) Matrix(341,884,184,477) -> Matrix(21,-8,92,-35) Matrix(815,2108,578,1495) -> Matrix(11,-4,58,-21) Matrix(817,2108,-474,-1223) -> Matrix(11,-4,14,-5) Matrix(373,952,306,781) -> Matrix(5,-2,28,-11) Matrix(883,2244,508,1291) -> Matrix(1,0,2,1) Matrix(511,1292,-282,-713) -> Matrix(5,-2,18,-7) Matrix(443,1088,-318,-781) -> Matrix(5,-2,-2,1) Matrix(749,1836,472,1157) -> Matrix(5,-2,18,-7) Matrix(307,748,126,307) -> Matrix(13,-6,50,-23) Matrix(169,408,70,169) -> Matrix(5,-2,18,-7) Matrix(2075,4964,-1634,-3909) -> Matrix(5,-2,8,-3) Matrix(1223,2924,284,679) -> Matrix(5,-2,18,-7) Matrix(883,2108,142,339) -> Matrix(5,-2,18,-7) Matrix(4217,10064,-2450,-5847) -> Matrix(5,-2,8,-3) Matrix(885,2108,-542,-1291) -> Matrix(11,-4,14,-5) Matrix(373,884,100,237) -> Matrix(5,-2,18,-7) Matrix(1123,2652,130,307) -> Matrix(7,-2,18,-5) Matrix(1701,4012,-778,-1835) -> Matrix(21,-8,50,-19) Matrix(953,2244,578,1361) -> Matrix(1,0,2,1) Matrix(781,1836,-362,-851) -> Matrix(37,-14,82,-31) Matrix(205,476,-146,-339) -> Matrix(5,-2,-2,1) Matrix(237,544,44,101) -> Matrix(9,-4,34,-15) Matrix(239,544,-134,-305) -> Matrix(21,-10,40,-19) Matrix(851,1904,198,443) -> Matrix(1,0,2,1) Matrix(1767,3944,-1280,-2857) -> Matrix(1,0,0,1) Matrix(4759,10608,-2624,-5849) -> Matrix(1,0,-8,1) Matrix(885,1972,92,205) -> Matrix(1,0,-2,1) Matrix(1803,4012,-1390,-3093) -> Matrix(1,0,-2,1) Matrix(307,680,200,443) -> Matrix(5,-2,28,-11) Matrix(339,748,92,203) -> Matrix(5,-2,18,-7) Matrix(1087,2380,248,543) -> Matrix(5,-2,8,-3) Matrix(407,884,250,543) -> Matrix(19,-8,88,-37) Matrix(1259,2720,268,579) -> Matrix(9,-4,34,-15) Matrix(1361,2924,950,2041) -> Matrix(13,-6,76,-35) Matrix(1021,2176,160,341) -> Matrix(37,-18,146,-71) Matrix(33,68,16,33) -> Matrix(5,-2,18,-7) Matrix(35,68,18,35) -> Matrix(3,-2,14,-9) Matrix(579,1088,-488,-917) -> Matrix(15,-8,32,-17) Matrix(1055,1972,-818,-1529) -> Matrix(11,-6,2,-1) Matrix(985,1836,-566,-1055) -> Matrix(25,-14,34,-19) Matrix(477,884,184,341) -> Matrix(13,-8,44,-27) Matrix(1327,2448,-1050,-1937) -> Matrix(3,-2,2,-1) Matrix(1293,2380,998,1837) -> Matrix(3,-2,20,-13) Matrix(409,748,298,545) -> Matrix(3,-2,14,-9) Matrix(373,680,130,237) -> Matrix(3,-2,8,-5) Matrix(1123,2040,-954,-1733) -> Matrix(1,-2,2,-3) Matrix(2549,4624,1780,3229) -> Matrix(1,0,6,1) Matrix(10199,18496,4574,8295) -> Matrix(1,0,14,1) Matrix(10201,18496,4576,8297) -> Matrix(1,0,-10,1) Matrix(3231,5848,1184,2143) -> Matrix(5,-2,18,-7) Matrix(1053,1904,808,1461) -> Matrix(1,0,2,1) Matrix(645,1156,284,509) -> Matrix(29,-14,114,-55) Matrix(647,1156,286,511) -> Matrix(27,-14,110,-57) Matrix(307,544,250,443) -> Matrix(7,-4,30,-17) Matrix(577,1020,-366,-647) -> Matrix(3,-2,8,-5) Matrix(1835,3196,1444,2515) -> Matrix(3,-2,8,-5) Matrix(2347,4080,646,1123) -> Matrix(3,-2,8,-5) Matrix(3095,5372,-2448,-4249) -> Matrix(3,-2,-4,3) Matrix(1019,1768,-902,-1565) -> Matrix(5,-4,4,-3) Matrix(511,884,374,647) -> Matrix(3,-2,14,-9) Matrix(2483,4284,-2108,-3637) -> Matrix(1,0,0,1) Matrix(4455,7684,3056,5271) -> Matrix(3,-2,14,-9) Matrix(3707,6392,1440,2483) -> Matrix(1,-2,4,-7) Matrix(10743,18496,4502,7751) -> Matrix(1,0,2,1) Matrix(10745,18496,4504,7753) -> Matrix(1,0,2,1) Matrix(1225,2108,1028,1769) -> Matrix(3,-2,14,-9) Matrix(1701,2924,1306,2245) -> Matrix(3,-2,14,-9) Matrix(2415,4148,-1682,-2889) -> Matrix(3,-2,2,-1) Matrix(239,408,140,239) -> Matrix(3,-2,14,-9) Matrix(441,748,260,441) -> Matrix(11,-6,46,-25) Matrix(1087,1836,402,679) -> Matrix(3,-2,14,-9) Matrix(2789,4692,-1980,-3331) -> Matrix(7,-4,2,-1) Matrix(373,612,-270,-443) -> Matrix(3,-2,2,-1) Matrix(3909,6392,1642,2685) -> Matrix(3,-2,8,-5) Matrix(5201,8500,1102,1801) -> Matrix(3,-2,8,-5) Matrix(4453,7276,-3434,-5611) -> Matrix(3,-2,2,-1) Matrix(1293,2108,376,613) -> Matrix(5,-4,14,-11) Matrix(543,884,250,407) -> Matrix(11,-8,40,-29) Matrix(713,1156,272,441) -> Matrix(7,-6,20,-17) Matrix(715,1156,274,443) -> Matrix(5,-6,16,-19) Matrix(171,272,22,35) -> Matrix(1,0,2,1) Matrix(1157,1836,472,749) -> Matrix(5,-2,18,-7) Matrix(2923,4624,1074,1699) -> Matrix(1,0,2,1) Matrix(2925,4624,1076,1701) -> Matrix(1,0,2,1) Matrix(3705,5848,1658,2617) -> Matrix(3,-2,14,-9) Matrix(8533,13464,-6228,-9827) -> Matrix(3,-2,2,-1) Matrix(781,1224,238,373) -> Matrix(1,0,2,1) Matrix(1087,1700,782,1223) -> Matrix(3,-2,20,-13) Matrix(307,476,198,307) -> Matrix(7,-6,34,-29) Matrix(441,680,286,441) -> Matrix(3,-4,16,-21) Matrix(443,680,200,307) -> Matrix(1,-2,4,-7) Matrix(509,748,-394,-579) -> Matrix(1,-2,2,-3) Matrix(885,1292,-698,-1019) -> Matrix(1,0,0,1) Matrix(375,544,-304,-441) -> Matrix(1,0,2,1) Matrix(613,884,-518,-747) -> Matrix(5,-2,8,-3) Matrix(851,1224,308,443) -> Matrix(1,0,2,1) Matrix(7241,10404,2200,3161) -> Matrix(7,-6,20,-17) Matrix(7243,10404,2202,3163) -> Matrix(5,-6,16,-19) Matrix(237,340,-214,-307) -> Matrix(1,0,0,1) Matrix(239,340,168,239) -> Matrix(3,-2,14,-9) Matrix(577,816,408,577) -> Matrix(3,-4,16,-21) Matrix(1495,2108,578,815) -> Matrix(3,-4,10,-13) Matrix(21727,30600,-15860,-22337) -> Matrix(1,0,0,1) Matrix(6665,9384,1836,2585) -> Matrix(1,-2,4,-7) Matrix(4249,5916,-3102,-4319) -> Matrix(1,0,0,1) Matrix(783,1088,172,239) -> Matrix(1,0,4,1) Matrix(3331,4624,930,1291) -> Matrix(1,0,10,1) Matrix(3333,4624,932,1293) -> Matrix(1,0,-6,1) Matrix(6799,9384,1970,2719) -> Matrix(3,-2,8,-5) Matrix(2957,4080,1256,1733) -> Matrix(1,-2,4,-7) Matrix(543,748,98,135) -> Matrix(1,0,2,1) Matrix(545,748,298,409) -> Matrix(3,-2,14,-9) Matrix(102101,139876,27572,37773) -> Matrix(3,-2,8,-5) Matrix(102103,139876,27574,37775) -> Matrix(1,-2,4,-7) Matrix(2483,3400,1714,2347) -> Matrix(1,0,6,1) Matrix(647,884,374,511) -> Matrix(3,-2,14,-9) Matrix(849,1156,224,305) -> Matrix(3,-2,8,-5) Matrix(851,1156,226,307) -> Matrix(1,-2,4,-7) Matrix(103,136,78,103) -> Matrix(1,0,4,1) Matrix(781,1020,598,781) -> Matrix(1,0,2,1) Matrix(1461,1904,808,1053) -> Matrix(1,0,2,1) Matrix(2245,2924,1306,1701) -> Matrix(3,-2,14,-9) Matrix(1837,2380,998,1293) -> Matrix(1,2,4,9) Matrix(14279,18496,3254,4215) -> Matrix(1,0,8,1) Matrix(14281,18496,3256,4217) -> Matrix(1,0,-4,1) Matrix(8057,10404,1816,2345) -> Matrix(11,-10,32,-29) Matrix(8059,10404,1818,2347) -> Matrix(9,-10,28,-31) Matrix(475,612,52,67) -> Matrix(1,0,2,1) Matrix(849,1088,238,305) -> Matrix(1,0,0,1) Matrix(1223,1564,850,1087) -> Matrix(3,-2,14,-9) Matrix(14551,18496,3102,3943) -> Matrix(1,0,12,1) Matrix(14553,18496,3104,3945) -> Matrix(1,0,-8,1) Matrix(2141,2720,1150,1461) -> Matrix(7,-4,30,-17) Matrix(6699,8500,2600,3299) -> Matrix(1,-2,4,-7) Matrix(3163,4012,2172,2755) -> Matrix(1,-2,6,-11) Matrix(1021,1292,162,205) -> Matrix(1,0,4,1) Matrix(917,1156,188,237) -> Matrix(1,0,8,1) Matrix(919,1156,190,239) -> Matrix(1,0,-4,1) Matrix(1427,1768,1042,1291) -> Matrix(1,0,4,1) Matrix(3739,4624,714,883) -> Matrix(1,0,12,1) Matrix(3741,4624,716,885) -> Matrix(1,0,-8,1) Matrix(443,544,250,307) -> Matrix(7,-4,30,-17) Matrix(613,748,168,205) -> Matrix(1,0,2,1) Matrix(783,952,644,783) -> Matrix(1,0,4,1) Matrix(169,204,140,169) -> Matrix(1,0,2,1) Matrix(1769,2108,1028,1225) -> Matrix(3,-2,14,-9) Matrix(1087,1292,228,271) -> Matrix(1,0,0,1) Matrix(1835,2176,974,1155) -> Matrix(35,-18,142,-73) Matrix(985,1156,144,169) -> Matrix(5,-4,14,-11) Matrix(987,1156,146,171) -> Matrix(3,-4,10,-13) Matrix(237,272,88,101) -> Matrix(1,0,2,1) Matrix(239,272,210,239) -> Matrix(3,-2,14,-9) Matrix(2345,2652,1352,1529) -> Matrix(1,-2,6,-11) Matrix(545,612,122,137) -> Matrix(1,0,2,1) Matrix(1767,1972,974,1087) -> Matrix(1,0,6,1) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(307,-340,214,-237) -> Matrix(1,0,0,1) Matrix(1565,-1768,902,-1019) -> Matrix(21,-4,100,-19) Matrix(579,-680,86,-101) -> Matrix(19,-4,62,-13) Matrix(749,-884,172,-203) -> Matrix(9,-2,32,-7) Matrix(747,-884,518,-613) -> Matrix(9,-2,32,-7) Matrix(441,-544,304,-375) -> Matrix(1,0,2,1) Matrix(647,-816,134,-169) -> Matrix(1,0,-6,1) Matrix(1937,-2448,1050,-1327) -> Matrix(11,-2,50,-9) Matrix(1019,-1292,698,-885) -> Matrix(1,0,0,1) Matrix(3535,-4488,1072,-1361) -> Matrix(1,0,-2,1) Matrix(1497,-1904,320,-407) -> Matrix(1,0,-4,1) Matrix(373,-476,134,-171) -> Matrix(9,-2,32,-7) Matrix(1529,-1972,818,-1055) -> Matrix(35,-6,146,-25) Matrix(3161,-4080,712,-919) -> Matrix(21,-4,58,-11) Matrix(2209,-2856,816,-1055) -> Matrix(9,-2,32,-7) Matrix(2311,-2992,526,-681) -> Matrix(1,0,0,1) Matrix(681,-884,104,-135) -> Matrix(9,-2,32,-7) Matrix(101,-136,26,-35) -> Matrix(1,0,-2,1) Matrix(1837,-2516,744,-1019) -> Matrix(13,-2,46,-7) Matrix(443,-612,270,-373) -> Matrix(11,-2,50,-9) Matrix(883,-1224,246,-341) -> Matrix(1,0,0,1) Matrix(781,-1088,318,-443) -> Matrix(13,-2,46,-7) Matrix(1257,-1768,460,-647) -> Matrix(1,0,-2,1) Matrix(3127,-4488,664,-953) -> Matrix(1,0,-2,1) Matrix(3977,-5712,1208,-1735) -> Matrix(11,-2,28,-5) Matrix(1463,-2108,778,-1121) -> Matrix(39,-10,160,-41) Matrix(1597,-2312,306,-443) -> Matrix(1,0,-6,1) Matrix(883,-1292,326,-477) -> Matrix(1,0,-2,1) Matrix(305,-476,66,-103) -> Matrix(9,-2,32,-7) Matrix(647,-1020,366,-577) -> Matrix(7,-2,32,-9) Matrix(1291,-2040,474,-749) -> Matrix(9,-2,32,-7) Matrix(1801,-2856,408,-647) -> Matrix(9,-2,32,-7) Matrix(169,-272,64,-103) -> Matrix(9,-2,32,-7) Matrix(1291,-2108,542,-885) -> Matrix(19,-4,62,-13) Matrix(781,-1292,350,-579) -> Matrix(9,-2,50,-11) Matrix(645,-1088,182,-307) -> Matrix(9,-2,14,-3) Matrix(2889,-4964,614,-1055) -> Matrix(9,-2,32,-7) Matrix(5847,-10064,2450,-4217) -> Matrix(9,-2,32,-7) Matrix(1223,-2108,474,-817) -> Matrix(19,-4,62,-13) Matrix(2311,-4012,1254,-2177) -> Matrix(37,-8,162,-35) Matrix(1055,-1836,566,-985) -> Matrix(65,-14,274,-59) Matrix(271,-476,78,-137) -> Matrix(9,-2,14,-3) Matrix(305,-544,134,-239) -> Matrix(41,-10,160,-39) Matrix(2177,-3944,600,-1087) -> Matrix(1,0,0,1) Matrix(5849,-10608,2624,-4759) -> Matrix(1,0,-8,1) Matrix(2209,-4012,506,-919) -> Matrix(1,0,-2,1) Matrix(509,-1088,80,-171) -> Matrix(31,-8,128,-33) Matrix(917,-1972,206,-443) -> Matrix(23,-6,50,-13) Matrix(851,-1836,362,-781) -> Matrix(53,-14,178,-47) Matrix(1121,-2448,234,-511) -> Matrix(7,-2,18,-5) Matrix(917,-2040,138,-307) -> Matrix(5,-2,18,-7) Matrix(443,-1020,162,-373) -> Matrix(7,-2,32,-9) Matrix(2277,-5372,476,-1123) -> Matrix(7,-2,4,-1) Matrix(749,-1768,86,-203) -> Matrix(13,-4,36,-11) Matrix(1801,-4284,272,-647) -> Matrix(1,0,0,1) Matrix(1733,-4148,526,-1259) -> Matrix(7,-2,18,-5) Matrix(1903,-4692,552,-1361) -> Matrix(15,-4,34,-9) Matrix(239,-612,66,-169) -> Matrix(7,-2,18,-5) Matrix(2823,-7276,646,-1665) -> Matrix(7,-2,18,-5) Matrix(4931,-13464,1332,-3637) -> Matrix(7,-2,18,-5) Matrix(239,-748,54,-169) -> Matrix(5,-2,18,-7) Matrix(407,-1292,86,-273) -> Matrix(1,0,0,1) Matrix(169,-544,32,-103) -> Matrix(1,0,2,1) Matrix(271,-884,42,-137) -> Matrix(9,-2,32,-7) Matrix(103,-340,10,-33) -> Matrix(1,0,0,1) Matrix(8873,-30600,2396,-8263) -> Matrix(1,0,0,1) Matrix(1667,-5916,450,-1597) -> Matrix(1,0,0,1) 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): 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. ----------------------------------------------------------------------- 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: 48 Genus: 49 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 2/1 17/8 136/61 34/15 136/57 12/5 17/7 34/13 68/25 17/6 3/1 102/31 17/5 68/19 18/5 374/101 34/9 4/1 17/4 30/7 136/31 22/5 102/23 14/3 136/29 85/18 24/5 34/7 5/1 68/13 16/3 11/2 28/5 17/3 6/1 32/5 13/2 20/3 34/5 7/1 8/1 17/2 26/3 9/1 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES 0/1 0/1 1/1 0/1 1/5 9/8 0/1 1/6 17/15 1/5 8/7 1/5 1/4 7/6 0/1 1/5 20/17 1/5 2/9 13/11 1/5 2/9 19/16 1/4 1/3 25/21 2/9 1/4 6/5 1/4 17/14 0/1 28/23 0/1 1/5 11/9 0/1 1/5 16/13 1/4 1/3 5/4 0/1 1/4 24/19 0/1 1/7 43/34 2/13 1/6 19/15 1/6 1/5 33/26 0/1 1/5 47/37 0/1 1/5 61/48 0/1 1/1 14/11 1/6 9/7 0/1 1/6 40/31 2/11 1/5 31/24 1/5 3/14 22/17 1/4 57/44 0/1 1/7 35/27 0/1 1/5 13/10 0/1 1/5 43/33 2/9 1/4 30/23 1/4 17/13 0/1 4/3 0/1 1/5 15/11 1/5 1/4 26/19 1/4 63/46 0/1 1/6 37/27 1/6 1/5 11/8 0/1 1/5 18/13 1/4 25/18 0/1 1/8 32/23 1/6 1/5 7/5 0/1 1/5 31/22 1/6 1/5 24/17 2/11 1/5 17/12 1/5 10/7 1/4 53/37 1/7 1/6 43/30 0/1 1/6 33/23 0/1 1/5 56/39 1/6 1/5 23/16 1/5 2/9 36/25 3/13 1/4 49/34 1/4 3/11 13/9 0/1 1/3 42/29 1/8 29/20 0/1 1/6 16/11 1/6 1/5 51/35 1/5 35/24 0/1 1/5 19/13 1/6 1/5 3/2 1/5 1/4 20/13 2/11 1/5 17/11 1/5 14/9 3/14 11/7 1/5 2/9 30/19 1/4 19/12 1/5 1/4 46/29 1/4 27/17 0/1 1/5 8/5 1/5 1/4 13/8 1/5 4/19 44/27 1/5 2/9 31/19 1/5 3/14 18/11 3/14 23/14 1/5 2/9 28/17 1/5 2/9 33/20 1/5 2/9 5/3 2/9 1/4 27/16 2/9 3/13 22/13 1/4 17/10 1/4 12/7 1/5 1/4 55/32 1/5 2/9 43/25 0/1 1/4 74/43 1/4 31/18 1/5 1/4 19/11 1/5 1/4 26/15 1/4 85/49 1/5 59/34 4/19 3/14 33/19 1/5 2/9 40/23 1/5 2/9 7/4 2/9 3/13 30/17 1/4 23/13 3/13 4/17 16/9 5/21 1/4 9/5 1/4 2/7 38/21 1/4 29/16 0/1 1/2 78/43 1/8 49/27 1/6 1/5 20/11 0/1 1/5 31/17 1/5 3/14 11/6 1/5 2/9 35/19 2/9 3/13 59/32 4/17 1/4 24/13 2/9 3/13 13/7 3/13 4/17 41/22 4/17 13/55 28/15 4/17 5/21 43/23 6/25 1/4 15/8 7/29 1/4 32/17 13/53 1/4 17/9 1/4 2/1 1/4 17/8 1/4 15/7 1/4 7/27 28/13 5/19 4/15 13/6 4/15 3/11 24/11 3/11 2/7 35/16 3/11 2/7 11/5 2/7 1/3 31/14 3/10 1/3 20/9 0/1 1/3 49/22 1/3 1/2 78/35 1/0 107/48 -1/6 0/1 136/61 0/1 29/13 0/1 1/6 67/30 0/1 1/5 38/17 1/4 9/4 2/9 1/4 34/15 1/4 25/11 1/4 12/47 16/7 1/4 5/19 23/10 4/15 3/11 7/3 3/11 2/7 47/20 2/7 5/17 40/17 2/7 1/3 33/14 2/7 1/3 59/25 3/10 4/13 26/11 1/4 19/8 1/4 1/3 69/29 2/7 1/3 119/50 1/3 50/21 1/4 31/13 1/4 1/3 136/57 0/1 2/7 105/44 1/4 1/3 74/31 1/4 43/18 0/1 1/4 55/23 2/7 1/3 12/5 1/4 1/3 17/7 1/4 22/9 1/4 27/11 3/11 2/7 32/13 1/4 3/11 37/15 1/4 3/11 5/2 1/4 2/7 18/7 3/10 85/33 1/3 67/26 2/7 1/3 49/19 3/10 1/3 31/12 3/10 1/3 44/17 2/7 1/3 13/5 4/13 1/3 34/13 1/3 21/8 1/3 2/5 8/3 1/4 1/3 27/10 0/1 1/3 46/17 1/4 65/24 1/3 1/2 19/7 1/4 1/3 68/25 0/1 2/7 49/18 1/4 1/3 30/11 1/4 101/37 2/7 1/3 71/26 1/4 1/3 41/15 0/1 1/3 11/4 2/7 1/3 36/13 1/4 3/11 25/9 2/7 3/10 14/5 3/10 17/6 1/3 20/7 1/3 2/5 3/1 1/4 1/3 19/6 1/3 1/2 16/5 1/3 1/2 13/4 0/1 1/5 36/11 1/4 3/11 23/7 2/7 1/3 102/31 1/3 79/24 1/3 4/11 56/17 1/3 1/2 89/27 0/1 1/3 33/10 0/1 1/3 10/3 1/4 17/5 1/3 24/7 1/3 2/5 31/9 1/3 1/2 100/29 1/3 1/2 69/20 1/3 2/5 38/11 1/2 7/2 0/1 1/3 39/11 0/1 1/2 32/9 1/3 1/2 25/7 0/1 1/0 68/19 0/1 43/12 0/1 1/8 18/5 1/4 29/8 0/1 1/2 98/27 1/4 69/19 0/1 1/3 40/11 0/1 1/3 11/3 0/1 1/3 37/10 1/3 1/2 137/37 0/1 1/3 374/101 1/3 237/64 1/3 2/5 100/27 1/3 1/2 63/17 0/1 1/2 26/7 1/4 15/4 1/4 1/3 34/9 1/3 19/5 1/3 1/2 4/1 0/1 1/3 17/4 0/1 30/7 1/4 43/10 1/4 2/7 13/3 0/1 1/3 48/11 0/1 1/3 83/19 1/4 1/3 35/8 0/1 1/3 57/13 0/1 1/1 136/31 0/1 79/18 0/1 1/7 22/5 1/4 53/12 1/4 1/3 31/7 3/10 1/3 102/23 1/3 71/16 1/3 7/20 40/9 1/3 2/5 49/11 1/2 1/1 9/2 0/1 1/2 32/7 1/5 1/4 23/5 0/1 1/3 14/3 1/2 75/16 -1/3 0/1 136/29 0/1 61/13 0/1 1/7 47/10 0/1 1/3 80/17 1/4 1/3 33/7 0/1 1/3 85/18 1/3 52/11 1/3 1/2 19/4 1/3 1/2 43/9 1/2 2/3 67/14 0/1 1/1 24/5 0/1 1/1 29/6 -1/2 0/1 34/7 0/1 5/1 0/1 1/4 26/5 1/2 47/9 -1/3 0/1 68/13 0/1 21/4 0/1 1/7 16/3 1/5 1/4 11/2 0/1 1/3 28/5 0/1 1/3 17/3 0/1 6/1 1/4 25/4 1/4 2/7 19/3 1/5 1/4 51/8 1/4 32/5 1/4 5/19 13/2 2/7 1/3 33/5 2/7 1/3 53/8 1/4 1/3 20/3 2/7 1/3 27/4 4/13 1/3 34/5 1/3 7/1 0/1 1/3 8/1 1/4 1/3 17/2 1/3 26/3 3/8 9/1 0/1 1/2 19/2 1/2 1/1 10/1 1/4 1/0 0/1 1/3 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,1,1) (0/1,1/0) -> (0/1,1/1) Parabolic Matrix(307,-340,214,-237) (1/1,9/8) -> (43/30,33/23) Hyperbolic Matrix(1565,-1768,902,-1019) (9/8,17/15) -> (85/49,59/34) Hyperbolic Matrix(239,-272,29,-33) (17/15,8/7) -> (8/1,17/2) Hyperbolic Matrix(237,-272,149,-171) (8/7,7/6) -> (27/17,8/5) Hyperbolic Matrix(579,-680,86,-101) (7/6,20/17) -> (20/3,27/4) Hyperbolic Matrix(749,-884,172,-203) (20/17,13/11) -> (13/3,48/11) Hyperbolic Matrix(747,-884,518,-613) (13/11,19/16) -> (49/34,13/9) Hyperbolic Matrix(1087,-1292,859,-1021) (19/16,25/21) -> (43/34,19/15) Hyperbolic Matrix(1769,-2108,741,-883) (25/21,6/5) -> (74/31,43/18) Hyperbolic Matrix(169,-204,29,-35) (6/5,17/14) -> (17/3,6/1) Hyperbolic Matrix(783,-952,139,-169) (17/14,28/23) -> (28/5,17/3) Hyperbolic Matrix(781,-952,475,-579) (28/23,11/9) -> (23/14,28/17) Hyperbolic Matrix(443,-544,193,-237) (11/9,16/13) -> (16/7,23/10) Hyperbolic Matrix(441,-544,304,-375) (16/13,5/4) -> (29/20,16/11) Hyperbolic Matrix(647,-816,134,-169) (5/4,24/19) -> (24/5,29/6) Hyperbolic Matrix(1937,-2448,1050,-1327) (24/19,43/34) -> (59/32,24/13) Hyperbolic Matrix(1019,-1292,698,-885) (19/15,33/26) -> (35/24,19/13) Hyperbolic Matrix(3535,-4488,1072,-1361) (33/26,47/37) -> (89/27,33/10) Hyperbolic Matrix(2515,-3196,1071,-1361) (47/37,61/48) -> (7/3,47/20) Hyperbolic Matrix(1497,-1904,320,-407) (61/48,14/11) -> (14/3,75/16) Hyperbolic Matrix(373,-476,134,-171) (14/11,9/7) -> (25/9,14/5) Hyperbolic Matrix(1529,-1972,818,-1055) (9/7,40/31) -> (28/15,43/23) Hyperbolic Matrix(3161,-4080,712,-919) (40/31,31/24) -> (71/16,40/9) Hyperbolic Matrix(2209,-2856,816,-1055) (31/24,22/17) -> (46/17,65/24) Hyperbolic Matrix(2311,-2992,526,-681) (22/17,57/44) -> (79/18,22/5) Hyperbolic Matrix(1837,-2380,839,-1087) (57/44,35/27) -> (35/16,11/5) Hyperbolic Matrix(681,-884,104,-135) (35/27,13/10) -> (13/2,33/5) Hyperbolic Matrix(2245,-2924,939,-1223) (13/10,43/33) -> (43/18,55/23) Hyperbolic Matrix(1461,-1904,653,-851) (43/33,30/23) -> (38/17,9/4) Hyperbolic Matrix(781,-1020,183,-239) (30/23,17/13) -> (17/4,30/7) Hyperbolic Matrix(103,-136,25,-33) (17/13,4/3) -> (4/1,17/4) Hyperbolic Matrix(101,-136,26,-35) (4/3,15/11) -> (19/5,4/1) Hyperbolic Matrix(647,-884,273,-373) (15/11,26/19) -> (26/11,19/8) Hyperbolic Matrix(1291,-1768,249,-341) (26/19,63/46) -> (5/1,26/5) Hyperbolic Matrix(1837,-2516,744,-1019) (63/46,37/27) -> (37/15,5/2) Hyperbolic Matrix(545,-748,247,-339) (37/27,11/8) -> (11/5,31/14) Hyperbolic Matrix(443,-612,270,-373) (11/8,18/13) -> (18/11,23/14) Hyperbolic Matrix(883,-1224,246,-341) (18/13,25/18) -> (43/12,18/5) Hyperbolic Matrix(1223,-1700,441,-613) (25/18,32/23) -> (36/13,25/9) Hyperbolic Matrix(781,-1088,318,-443) (32/23,7/5) -> (27/11,32/13) Hyperbolic Matrix(1257,-1768,460,-647) (7/5,31/22) -> (71/26,41/15) Hyperbolic Matrix(1495,-2108,917,-1293) (31/22,24/17) -> (44/27,31/19) Hyperbolic Matrix(577,-816,169,-239) (24/17,17/12) -> (17/5,24/7) Hyperbolic Matrix(239,-340,71,-101) (17/12,10/7) -> (10/3,17/5) Hyperbolic Matrix(3229,-4624,1449,-2075) (10/7,53/37) -> (49/22,78/35) Hyperbolic Matrix(2041,-2924,1091,-1563) (53/37,43/30) -> (43/23,15/8) Hyperbolic Matrix(3127,-4488,664,-953) (33/23,56/39) -> (80/17,33/7) Hyperbolic Matrix(3977,-5712,1208,-1735) (56/39,23/16) -> (79/24,56/17) Hyperbolic Matrix(1087,-1564,237,-341) (23/16,36/25) -> (32/7,23/5) Hyperbolic Matrix(1463,-2108,778,-1121) (36/25,49/34) -> (15/8,32/17) Hyperbolic Matrix(1597,-2312,306,-443) (13/9,42/29) -> (26/5,47/9) Hyperbolic Matrix(2347,-3400,633,-917) (42/29,29/20) -> (63/17,26/7) Hyperbolic Matrix(2755,-4012,583,-849) (16/11,51/35) -> (85/18,52/11) Hyperbolic Matrix(5271,-7684,2215,-3229) (51/35,35/24) -> (69/29,119/50) Hyperbolic Matrix(883,-1292,326,-477) (19/13,3/2) -> (65/24,19/7) Hyperbolic Matrix(443,-680,243,-373) (3/2,20/13) -> (20/11,31/17) Hyperbolic Matrix(441,-680,155,-239) (20/13,17/11) -> (17/6,20/7) Hyperbolic Matrix(307,-476,109,-169) (17/11,14/9) -> (14/5,17/6) Hyperbolic Matrix(305,-476,66,-103) (14/9,11/7) -> (23/5,14/3) Hyperbolic Matrix(647,-1020,366,-577) (11/7,30/19) -> (30/17,23/13) Hyperbolic Matrix(1291,-2040,474,-749) (30/19,19/12) -> (49/18,30/11) Hyperbolic Matrix(1801,-2856,408,-647) (19/12,46/29) -> (22/5,53/12) Hyperbolic Matrix(1157,-1836,685,-1087) (46/29,27/17) -> (27/16,22/13) Hyperbolic Matrix(169,-272,64,-103) (8/5,13/8) -> (21/8,8/3) Hyperbolic Matrix(543,-884,293,-477) (13/8,44/27) -> (24/13,13/7) Hyperbolic Matrix(1291,-2108,542,-885) (31/19,18/11) -> (50/21,31/13) Hyperbolic Matrix(1361,-2244,783,-1291) (28/17,33/20) -> (33/19,40/23) Hyperbolic Matrix(781,-1292,350,-579) (33/20,5/3) -> (29/13,67/30) Hyperbolic Matrix(645,-1088,182,-307) (5/3,27/16) -> (7/2,39/11) Hyperbolic Matrix(441,-748,181,-307) (22/13,17/10) -> (17/7,22/9) Hyperbolic Matrix(239,-408,99,-169) (17/10,12/7) -> (12/5,17/7) Hyperbolic Matrix(2889,-4964,614,-1055) (12/7,55/32) -> (47/10,80/17) Hyperbolic Matrix(1701,-2924,395,-679) (55/32,43/25) -> (43/10,13/3) Hyperbolic Matrix(1225,-2108,197,-339) (43/25,74/43) -> (6/1,25/4) Hyperbolic Matrix(5847,-10064,2450,-4217) (74/43,31/18) -> (105/44,74/31) Hyperbolic Matrix(1223,-2108,474,-817) (31/18,19/11) -> (49/19,31/12) Hyperbolic Matrix(511,-884,137,-237) (19/11,26/15) -> (26/7,15/4) Hyperbolic Matrix(1529,-2652,177,-307) (26/15,85/49) -> (17/2,26/3) Hyperbolic Matrix(2311,-4012,1254,-2177) (59/34,33/19) -> (35/19,59/32) Hyperbolic Matrix(1055,-1836,566,-985) (40/23,7/4) -> (41/22,28/15) Hyperbolic Matrix(271,-476,78,-137) (7/4,30/17) -> (38/11,7/2) Hyperbolic Matrix(307,-544,57,-101) (23/13,16/9) -> (16/3,11/2) Hyperbolic Matrix(305,-544,134,-239) (16/9,9/5) -> (25/11,16/7) Hyperbolic Matrix(1053,-1904,245,-443) (9/5,38/21) -> (30/7,43/10) Hyperbolic Matrix(2177,-3944,600,-1087) (38/21,29/16) -> (29/8,98/27) Hyperbolic Matrix(5849,-10608,2624,-4759) (29/16,78/43) -> (78/35,107/48) Hyperbolic Matrix(1087,-1972,113,-205) (78/43,49/27) -> (19/2,10/1) Hyperbolic Matrix(2209,-4012,506,-919) (49/27,20/11) -> (48/11,83/19) Hyperbolic Matrix(409,-748,111,-203) (31/17,11/6) -> (11/3,37/10) Hyperbolic Matrix(1293,-2380,295,-543) (11/6,35/19) -> (35/8,57/13) Hyperbolic Matrix(1461,-2720,311,-579) (13/7,41/22) -> (61/13,47/10) Hyperbolic Matrix(1155,-2176,181,-341) (32/17,17/9) -> (51/8,32/5) Hyperbolic Matrix(35,-68,17,-33) (17/9,2/1) -> (2/1,17/8) Parabolic Matrix(509,-1088,80,-171) (17/8,15/7) -> (19/3,51/8) Hyperbolic Matrix(917,-1972,206,-443) (15/7,28/13) -> (40/9,49/11) Hyperbolic Matrix(851,-1836,362,-781) (28/13,13/6) -> (47/20,40/17) Hyperbolic Matrix(407,-884,157,-341) (13/6,24/11) -> (44/17,13/5) Hyperbolic Matrix(1121,-2448,234,-511) (24/11,35/16) -> (67/14,24/5) Hyperbolic Matrix(307,-680,107,-237) (31/14,20/9) -> (20/7,3/1) Hyperbolic Matrix(917,-2040,138,-307) (20/9,49/22) -> (53/8,20/3) Hyperbolic Matrix(8297,-18496,3721,-8295) (107/48,136/61) -> (136/61,29/13) Parabolic Matrix(2617,-5848,959,-2143) (67/30,38/17) -> (30/11,101/37) Hyperbolic Matrix(511,-1156,225,-509) (9/4,34/15) -> (34/15,25/11) Parabolic Matrix(443,-1020,162,-373) (23/10,7/3) -> (41/15,11/4) Hyperbolic Matrix(1733,-4080,477,-1123) (40/17,33/14) -> (69/19,40/11) Hyperbolic Matrix(2277,-5372,476,-1123) (33/14,59/25) -> (43/9,67/14) Hyperbolic Matrix(749,-1768,86,-203) (59/25,26/11) -> (26/3,9/1) Hyperbolic Matrix(1801,-4284,272,-647) (19/8,69/29) -> (33/5,53/8) Hyperbolic Matrix(2685,-6392,1043,-2483) (119/50,50/21) -> (18/7,85/33) Hyperbolic Matrix(7753,-18496,3249,-7751) (31/13,136/57) -> (136/57,105/44) Parabolic Matrix(1733,-4148,526,-1259) (55/23,12/5) -> (56/17,89/27) Hyperbolic Matrix(749,-1836,277,-679) (22/9,27/11) -> (27/10,46/17) Hyperbolic Matrix(1903,-4692,552,-1361) (32/13,37/15) -> (31/9,100/29) Hyperbolic Matrix(239,-612,66,-169) (5/2,18/7) -> (18/5,29/8) Hyperbolic Matrix(3299,-8500,699,-1801) (85/33,67/26) -> (33/7,85/18) Hyperbolic Matrix(2823,-7276,646,-1665) (67/26,49/19) -> (83/19,35/8) Hyperbolic Matrix(815,-2108,237,-613) (31/12,44/17) -> (24/7,31/9) Hyperbolic Matrix(443,-1156,169,-441) (13/5,34/13) -> (34/13,21/8) Parabolic Matrix(101,-272,13,-35) (8/3,27/10) -> (7/1,8/1) Hyperbolic Matrix(1701,-4624,625,-1699) (19/7,68/25) -> (68/25,49/18) Parabolic Matrix(4931,-13464,1332,-3637) (101/37,71/26) -> (37/10,137/37) Hyperbolic Matrix(443,-1224,135,-373) (11/4,36/13) -> (36/11,23/7) Hyperbolic Matrix(239,-748,54,-169) (3/1,19/6) -> (53/12,31/7) Hyperbolic Matrix(407,-1292,86,-273) (19/6,16/5) -> (52/11,19/4) Hyperbolic Matrix(169,-544,32,-103) (16/5,13/4) -> (21/4,16/3) Hyperbolic Matrix(271,-884,42,-137) (13/4,36/11) -> (32/5,13/2) Hyperbolic Matrix(3163,-10404,961,-3161) (23/7,102/31) -> (102/31,79/24) Parabolic Matrix(103,-340,10,-33) (33/10,10/3) -> (10/1,1/0) Hyperbolic Matrix(8873,-30600,2396,-8263) (100/29,69/20) -> (237/64,100/27) Hyperbolic Matrix(2719,-9384,749,-2585) (69/20,38/11) -> (98/27,69/19) Hyperbolic Matrix(1667,-5916,450,-1597) (39/11,32/9) -> (100/27,63/17) Hyperbolic Matrix(305,-1088,67,-239) (32/9,25/7) -> (9/2,32/7) Hyperbolic Matrix(1293,-4624,361,-1291) (25/7,68/19) -> (68/19,43/12) Parabolic Matrix(205,-748,37,-135) (40/11,11/3) -> (11/2,28/5) Hyperbolic Matrix(37775,-139876,10201,-37773) (137/37,374/101) -> (374/101,237/64) Parabolic Matrix(307,-1156,81,-305) (15/4,34/9) -> (34/9,19/5) Parabolic Matrix(4217,-18496,961,-4215) (57/13,136/31) -> (136/31,79/18) Parabolic Matrix(2347,-10404,529,-2345) (31/7,102/23) -> (102/23,71/16) Parabolic Matrix(137,-612,15,-67) (49/11,9/2) -> (9/1,19/2) Hyperbolic Matrix(3945,-18496,841,-3943) (75/16,136/29) -> (136/29,61/13) Parabolic Matrix(271,-1292,43,-205) (19/4,43/9) -> (25/4,19/3) Hyperbolic Matrix(239,-1156,49,-237) (29/6,34/7) -> (34/7,5/1) Parabolic Matrix(885,-4624,169,-883) (47/9,68/13) -> (68/13,21/4) Parabolic Matrix(171,-1156,25,-169) (27/4,34/5) -> (34/5,7/1) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,0,1,1) -> Matrix(1,0,2,1) Matrix(307,-340,214,-237) -> Matrix(1,0,0,1) Matrix(1565,-1768,902,-1019) -> Matrix(21,-4,100,-19) Matrix(239,-272,29,-33) -> Matrix(9,-2,32,-7) Matrix(237,-272,149,-171) -> Matrix(1,0,0,1) Matrix(579,-680,86,-101) -> Matrix(19,-4,62,-13) Matrix(749,-884,172,-203) -> Matrix(9,-2,32,-7) Matrix(747,-884,518,-613) -> Matrix(9,-2,32,-7) Matrix(1087,-1292,859,-1021) -> Matrix(1,0,2,1) Matrix(1769,-2108,741,-883) -> Matrix(9,-2,32,-7) Matrix(169,-204,29,-35) -> Matrix(1,0,0,1) Matrix(783,-952,139,-169) -> Matrix(1,0,-2,1) Matrix(781,-952,475,-579) -> Matrix(11,-2,50,-9) Matrix(443,-544,193,-237) -> Matrix(17,-4,64,-15) Matrix(441,-544,304,-375) -> Matrix(1,0,2,1) Matrix(647,-816,134,-169) -> Matrix(1,0,-6,1) Matrix(1937,-2448,1050,-1327) -> Matrix(11,-2,50,-9) Matrix(1019,-1292,698,-885) -> Matrix(1,0,0,1) Matrix(3535,-4488,1072,-1361) -> Matrix(1,0,-2,1) Matrix(2515,-3196,1071,-1361) -> Matrix(5,-2,18,-7) Matrix(1497,-1904,320,-407) -> Matrix(1,0,-4,1) Matrix(373,-476,134,-171) -> Matrix(9,-2,32,-7) Matrix(1529,-1972,818,-1055) -> Matrix(35,-6,146,-25) Matrix(3161,-4080,712,-919) -> Matrix(21,-4,58,-11) Matrix(2209,-2856,816,-1055) -> Matrix(9,-2,32,-7) Matrix(2311,-2992,526,-681) -> Matrix(1,0,0,1) Matrix(1837,-2380,839,-1087) -> Matrix(13,-2,46,-7) Matrix(681,-884,104,-135) -> Matrix(9,-2,32,-7) Matrix(2245,-2924,939,-1223) -> Matrix(9,-2,32,-7) Matrix(1461,-1904,653,-851) -> Matrix(1,0,0,1) Matrix(781,-1020,183,-239) -> Matrix(1,0,0,1) Matrix(103,-136,25,-33) -> Matrix(1,0,-2,1) Matrix(101,-136,26,-35) -> Matrix(1,0,-2,1) Matrix(647,-884,273,-373) -> Matrix(9,-2,32,-7) Matrix(1291,-1768,249,-341) -> Matrix(1,0,-2,1) Matrix(1837,-2516,744,-1019) -> Matrix(13,-2,46,-7) Matrix(545,-748,247,-339) -> Matrix(9,-2,32,-7) Matrix(443,-612,270,-373) -> Matrix(11,-2,50,-9) Matrix(883,-1224,246,-341) -> Matrix(1,0,0,1) Matrix(1223,-1700,441,-613) -> Matrix(13,-2,46,-7) Matrix(781,-1088,318,-443) -> Matrix(13,-2,46,-7) Matrix(1257,-1768,460,-647) -> Matrix(1,0,-2,1) Matrix(1495,-2108,917,-1293) -> Matrix(21,-4,100,-19) Matrix(577,-816,169,-239) -> Matrix(21,-4,58,-11) Matrix(239,-340,71,-101) -> Matrix(9,-2,32,-7) Matrix(3229,-4624,1449,-2075) -> Matrix(1,0,-4,1) Matrix(2041,-2924,1091,-1563) -> Matrix(35,-6,146,-25) Matrix(3127,-4488,664,-953) -> Matrix(1,0,-2,1) Matrix(3977,-5712,1208,-1735) -> Matrix(11,-2,28,-5) Matrix(1087,-1564,237,-341) -> Matrix(9,-2,32,-7) Matrix(1463,-2108,778,-1121) -> Matrix(39,-10,160,-41) Matrix(1597,-2312,306,-443) -> Matrix(1,0,-6,1) Matrix(2347,-3400,633,-917) -> Matrix(1,0,-4,1) Matrix(2755,-4012,583,-849) -> Matrix(11,-2,28,-5) Matrix(5271,-7684,2215,-3229) -> Matrix(9,-2,32,-7) Matrix(883,-1292,326,-477) -> Matrix(1,0,-2,1) Matrix(443,-680,243,-373) -> Matrix(11,-2,50,-9) Matrix(441,-680,155,-239) -> Matrix(21,-4,58,-11) Matrix(307,-476,109,-169) -> Matrix(29,-6,92,-19) Matrix(305,-476,66,-103) -> Matrix(9,-2,32,-7) Matrix(647,-1020,366,-577) -> Matrix(7,-2,32,-9) Matrix(1291,-2040,474,-749) -> Matrix(9,-2,32,-7) Matrix(1801,-2856,408,-647) -> Matrix(9,-2,32,-7) Matrix(1157,-1836,685,-1087) -> Matrix(7,-2,32,-9) Matrix(169,-272,64,-103) -> Matrix(9,-2,32,-7) Matrix(543,-884,293,-477) -> Matrix(37,-8,162,-35) Matrix(1291,-2108,542,-885) -> Matrix(19,-4,62,-13) Matrix(1361,-2244,783,-1291) -> Matrix(1,0,0,1) Matrix(781,-1292,350,-579) -> Matrix(9,-2,50,-11) Matrix(645,-1088,182,-307) -> Matrix(9,-2,14,-3) Matrix(441,-748,181,-307) -> Matrix(25,-6,96,-23) Matrix(239,-408,99,-169) -> Matrix(9,-2,32,-7) Matrix(2889,-4964,614,-1055) -> Matrix(9,-2,32,-7) Matrix(1701,-2924,395,-679) -> Matrix(9,-2,32,-7) Matrix(1225,-2108,197,-339) -> Matrix(9,-2,32,-7) Matrix(5847,-10064,2450,-4217) -> Matrix(9,-2,32,-7) Matrix(1223,-2108,474,-817) -> Matrix(19,-4,62,-13) Matrix(511,-884,137,-237) -> Matrix(9,-2,32,-7) Matrix(1529,-2652,177,-307) -> Matrix(11,-2,28,-5) Matrix(2311,-4012,1254,-2177) -> Matrix(37,-8,162,-35) Matrix(1055,-1836,566,-985) -> Matrix(65,-14,274,-59) Matrix(271,-476,78,-137) -> Matrix(9,-2,14,-3) Matrix(307,-544,57,-101) -> Matrix(17,-4,64,-15) Matrix(305,-544,134,-239) -> Matrix(41,-10,160,-39) Matrix(1053,-1904,245,-443) -> Matrix(1,0,0,1) Matrix(2177,-3944,600,-1087) -> Matrix(1,0,0,1) Matrix(5849,-10608,2624,-4759) -> Matrix(1,0,-8,1) Matrix(1087,-1972,113,-205) -> Matrix(1,0,-4,1) Matrix(2209,-4012,506,-919) -> Matrix(1,0,-2,1) Matrix(409,-748,111,-203) -> Matrix(9,-2,32,-7) Matrix(1293,-2380,295,-543) -> Matrix(9,-2,14,-3) Matrix(1461,-2720,311,-579) -> Matrix(17,-4,64,-15) Matrix(1155,-2176,181,-341) -> Matrix(73,-18,288,-71) Matrix(35,-68,17,-33) -> Matrix(9,-2,32,-7) Matrix(509,-1088,80,-171) -> Matrix(31,-8,128,-33) Matrix(917,-1972,206,-443) -> Matrix(23,-6,50,-13) Matrix(851,-1836,362,-781) -> Matrix(53,-14,178,-47) Matrix(407,-884,157,-341) -> Matrix(29,-8,98,-27) Matrix(1121,-2448,234,-511) -> Matrix(7,-2,18,-5) Matrix(307,-680,107,-237) -> Matrix(7,-2,18,-5) Matrix(917,-2040,138,-307) -> Matrix(5,-2,18,-7) Matrix(8297,-18496,3721,-8295) -> Matrix(1,0,12,1) Matrix(2617,-5848,959,-2143) -> Matrix(9,-2,32,-7) Matrix(511,-1156,225,-509) -> Matrix(57,-14,224,-55) Matrix(443,-1020,162,-373) -> Matrix(7,-2,32,-9) Matrix(1733,-4080,477,-1123) -> Matrix(7,-2,18,-5) Matrix(2277,-5372,476,-1123) -> Matrix(7,-2,4,-1) Matrix(749,-1768,86,-203) -> Matrix(13,-4,36,-11) Matrix(1801,-4284,272,-647) -> Matrix(1,0,0,1) Matrix(2685,-6392,1043,-2483) -> Matrix(5,-2,18,-7) Matrix(7753,-18496,3249,-7751) -> Matrix(1,0,0,1) Matrix(1733,-4148,526,-1259) -> Matrix(7,-2,18,-5) Matrix(749,-1836,277,-679) -> Matrix(7,-2,32,-9) Matrix(1903,-4692,552,-1361) -> Matrix(15,-4,34,-9) Matrix(239,-612,66,-169) -> Matrix(7,-2,18,-5) Matrix(3299,-8500,699,-1801) -> Matrix(7,-2,18,-5) Matrix(2823,-7276,646,-1665) -> Matrix(7,-2,18,-5) Matrix(815,-2108,237,-613) -> Matrix(13,-4,36,-11) Matrix(443,-1156,169,-441) -> Matrix(19,-6,54,-17) Matrix(101,-272,13,-35) -> Matrix(1,0,0,1) Matrix(1701,-4624,625,-1699) -> Matrix(1,0,0,1) Matrix(4931,-13464,1332,-3637) -> Matrix(7,-2,18,-5) Matrix(443,-1224,135,-373) -> Matrix(1,0,0,1) Matrix(239,-748,54,-169) -> Matrix(5,-2,18,-7) Matrix(407,-1292,86,-273) -> Matrix(1,0,0,1) Matrix(169,-544,32,-103) -> Matrix(1,0,2,1) Matrix(271,-884,42,-137) -> Matrix(9,-2,32,-7) Matrix(3163,-10404,961,-3161) -> Matrix(19,-6,54,-17) Matrix(103,-340,10,-33) -> Matrix(1,0,0,1) Matrix(8873,-30600,2396,-8263) -> Matrix(1,0,0,1) Matrix(2719,-9384,749,-2585) -> Matrix(5,-2,18,-7) Matrix(1667,-5916,450,-1597) -> Matrix(1,0,0,1) Matrix(305,-1088,67,-239) -> Matrix(1,0,2,1) Matrix(1293,-4624,361,-1291) -> Matrix(1,0,8,1) Matrix(205,-748,37,-135) -> Matrix(1,0,0,1) Matrix(37775,-139876,10201,-37773) -> Matrix(7,-2,18,-5) Matrix(307,-1156,81,-305) -> Matrix(7,-2,18,-5) Matrix(4217,-18496,961,-4215) -> Matrix(1,0,6,1) Matrix(2347,-10404,529,-2345) -> Matrix(31,-10,90,-29) Matrix(137,-612,15,-67) -> Matrix(1,0,0,1) Matrix(3945,-18496,841,-3943) -> Matrix(1,0,10,1) Matrix(271,-1292,43,-205) -> Matrix(1,0,2,1) Matrix(239,-1156,49,-237) -> Matrix(1,0,6,1) Matrix(885,-4624,169,-883) -> Matrix(1,0,10,1) Matrix(171,-1156,25,-169) -> Matrix(13,-4,36,-11) 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 elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 29 Imminent integer overflow caused the modular group computation to abort.