INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1728 Minimal number of generators: 289 Number of equivalence classes of cusps: 96 Genus: 97 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/1 -8/1 -15/2 -6/1 -16/3 -21/4 -14/3 -9/2 -35/8 -21/5 -4/1 -27/8 -33/10 -3/1 -8/3 -60/23 -12/5 -16/7 -9/4 -24/11 -2/1 -9/5 -12/7 -27/16 -3/2 -4/3 -9/7 -27/22 -6/5 -9/8 0/1 1/1 9/8 6/5 9/7 4/3 108/79 18/13 36/25 3/2 54/35 36/23 108/67 18/11 27/16 12/7 9/5 2/1 24/11 9/4 16/7 12/5 5/2 18/7 31/12 144/55 108/41 8/3 36/13 3/1 54/17 36/11 33/10 10/3 27/8 7/2 18/5 29/8 396/109 108/29 72/19 4/1 21/5 17/4 13/3 9/2 14/3 19/4 5/1 21/4 16/3 11/2 17/3 23/4 6/1 25/4 13/2 27/4 7/1 15/2 8/1 9/1 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -9/1 1/2 -8/1 0/1 -15/2 0/1 1/1 -22/3 -1/2 -7/1 1/4 -13/2 0/1 1/6 -6/1 1/2 -11/2 0/1 1/4 -16/3 1/1 -37/7 1/0 -21/4 -1/1 0/1 -26/5 -1/2 -5/1 1/4 -19/4 1/5 1/4 -33/7 3/10 -14/3 1/2 -9/2 1/2 -22/5 1/2 -57/13 1/2 -35/8 1/2 1/1 -13/3 3/4 -17/4 0/1 1/0 -21/5 1/2 -4/1 0/1 -23/6 3/10 1/3 -19/5 1/4 -34/9 1/2 -15/4 0/1 1/3 -41/11 5/16 -108/29 1/3 -67/18 1/3 9/26 -26/7 1/2 -37/10 1/3 1/2 -11/3 3/8 -40/11 3/7 -109/30 3/7 1/2 -69/19 1/2 -29/8 4/9 1/2 -18/5 1/2 -7/2 1/2 1/1 -17/5 1/0 -27/8 1/0 -37/11 1/0 -47/14 -1/1 1/0 -10/3 -1/2 -33/10 -1/5 0/1 -23/7 -1/12 -36/11 0/1 -13/4 0/1 1/10 -29/9 1/8 -16/5 1/5 -35/11 1/4 -54/17 1/4 -19/6 1/4 3/11 -3/1 1/2 -20/7 2/1 -37/13 1/0 -54/19 1/0 -17/6 -2/1 1/0 -14/5 -1/2 -39/14 -1/5 0/1 -25/9 -1/12 -36/13 0/1 -11/4 0/1 1/8 -30/11 1/6 -49/18 1/5 3/14 -19/7 1/4 -27/10 1/4 -35/13 1/4 -8/3 1/3 -37/14 1/3 1/2 -29/11 1/4 -108/41 1/3 -79/30 1/3 9/26 -50/19 5/14 -21/8 1/3 2/5 -55/21 3/8 -34/13 1/2 -47/18 1/3 3/8 -60/23 2/5 -73/28 2/5 1/2 -13/5 5/12 -44/17 4/9 -75/29 1/2 -31/12 6/13 1/2 -18/7 1/2 -5/2 1/2 1/1 -17/7 1/0 -63/26 1/0 -46/19 -3/2 -29/12 -1/2 0/1 -12/5 0/1 -43/18 0/1 1/6 -74/31 1/6 -31/13 1/4 -19/8 1/4 1/3 -26/11 1/2 -33/14 0/1 1/5 -7/3 1/4 -37/16 1/3 1/2 -30/13 1/2 -23/10 3/10 1/3 -39/17 5/14 -16/7 2/5 -9/4 1/2 -20/9 2/3 -31/14 2/3 7/10 -11/5 1/0 -35/16 1/2 1/1 -24/11 1/1 -13/6 0/1 1/2 -2/1 1/2 -15/8 0/1 1/1 -28/15 0/1 -13/7 3/4 -37/20 1/2 1/1 -24/13 1/1 -11/6 0/1 1/0 -20/11 1/3 -29/16 2/5 1/2 -9/5 1/2 -43/24 1/2 4/7 -34/19 1/2 -25/14 7/12 3/5 -66/37 1/2 -107/60 1/2 3/5 -41/23 7/12 -57/32 3/5 8/13 -16/9 2/3 -39/22 3/5 2/3 -23/13 11/16 -7/4 1/2 1/1 -19/11 3/4 -31/18 4/5 5/6 -12/7 1/1 -17/10 2/1 1/0 -22/13 1/2 -49/29 1/0 -27/16 1/2 -32/19 1/1 -37/22 1/2 1/1 -5/3 1/0 -38/23 1/2 -33/20 0/1 1/1 -28/17 0/1 -23/14 1/3 1/2 -18/11 1/2 -13/8 1/2 2/3 -34/21 1/2 -89/55 5/8 -144/89 2/3 -55/34 2/3 3/4 -21/13 1/2 -71/44 1/2 2/3 -121/75 5/8 -50/31 1/2 -79/49 13/20 -108/67 2/3 -29/18 2/3 7/10 -66/41 3/4 -37/23 3/4 -8/5 1/1 -35/22 1/2 1/1 -27/17 1/2 -73/46 1/2 2/3 -119/75 3/4 -46/29 1/2 -19/12 3/4 1/1 -30/19 3/4 -71/45 3/4 -41/26 11/14 4/5 -11/7 7/8 -36/23 1/1 -25/16 1/1 13/12 -64/41 8/7 -39/25 7/6 -14/9 3/2 -31/20 0/1 1/2 -17/11 1/0 -3/2 0/1 1/1 -19/13 1/0 -54/37 1/2 -35/24 1/2 1/1 -16/11 1/1 -29/20 1/2 2/3 -13/9 7/8 -36/25 1/1 -23/16 1/1 15/14 -33/23 7/6 -43/30 7/6 6/5 -10/7 3/2 -37/26 1/1 3/2 -27/19 3/2 -44/31 2/1 -17/12 2/1 1/0 -24/17 1/1 -31/22 4/3 3/2 -69/49 3/2 -107/76 1/1 3/2 -38/27 3/2 -7/5 1/0 -39/28 2/1 3/1 -110/79 5/2 -181/130 5/2 3/1 -252/181 3/1 -71/51 1/0 -32/23 2/1 -57/41 5/2 -25/18 3/1 1/0 -18/13 1/0 -11/8 0/1 1/0 -48/35 1/1 -37/27 1/0 -26/19 -1/2 -67/49 -1/8 -108/79 0/1 -41/30 0/1 1/6 -56/41 0/1 -71/52 0/1 1/2 -15/11 1/2 -49/36 1/2 1/1 -34/25 1/2 -53/39 3/4 -72/53 1/1 -19/14 1/1 1/0 -23/17 1/4 -27/20 1/2 -4/3 1/1 -25/19 7/4 -46/35 3/2 -21/16 1/1 2/1 -17/13 1/0 -47/36 1/1 5/4 -30/23 3/2 -13/10 2/1 5/2 -48/37 3/1 -35/27 1/0 -92/71 0/1 -57/44 1/1 2/1 -22/17 5/2 -31/24 7/2 4/1 -9/7 1/0 -41/32 -5/2 -2/1 -73/57 1/0 -32/25 -2/1 -23/18 -1/1 -1/2 -83/65 1/0 -143/112 -1/2 0/1 -60/47 0/1 -97/76 1/1 1/0 -37/29 1/0 -51/40 -2/1 -1/1 -14/11 -1/2 -33/26 0/1 1/1 -52/41 0/1 -71/56 0/1 1/2 -90/71 1/2 -19/15 1/0 -5/4 1/2 1/1 -26/21 7/6 -47/38 1/1 5/4 -21/17 3/2 -37/30 1/1 3/2 -16/13 1/1 -43/35 11/8 -27/22 3/2 -65/53 13/8 -38/31 3/2 -49/40 3/2 5/3 -11/9 7/4 -39/32 2/1 7/3 -28/23 2/1 -17/14 2/1 1/0 -23/19 11/4 -29/24 7/2 4/1 -6/5 1/0 -19/16 -1/1 1/0 -13/11 -1/4 -7/6 1/2 1/1 -22/19 3/2 -15/13 3/2 -23/20 1/1 3/2 -8/7 2/1 -25/22 3/1 13/4 -17/15 1/0 -9/8 1/0 -10/9 -1/2 -1/1 1/0 0/1 0/1 1/1 1/4 9/8 1/4 17/15 1/4 8/7 2/7 15/13 3/10 22/19 3/10 7/6 1/3 1/2 13/11 1/8 6/5 1/4 17/14 1/4 2/7 28/23 2/7 11/9 7/24 38/31 3/10 27/22 3/10 16/13 1/3 37/30 3/10 1/3 21/17 3/10 26/21 7/22 5/4 1/3 1/2 14/11 1/6 37/29 1/4 60/47 0/1 83/65 1/4 23/18 1/6 1/5 32/25 2/9 9/7 1/4 40/31 4/15 31/24 4/15 7/26 22/17 5/18 57/44 2/7 1/3 35/27 1/4 13/10 5/18 2/7 17/13 1/4 21/16 2/7 1/3 4/3 1/3 27/20 1/2 23/17 1/0 19/14 1/4 1/3 34/25 1/2 83/61 1/4 49/36 1/3 1/2 15/11 1/2 41/30 -1/2 0/1 108/79 0/1 67/49 1/12 26/19 1/6 63/46 1/4 37/27 1/4 11/8 0/1 1/4 18/13 1/4 25/18 1/4 3/11 32/23 2/7 7/5 1/4 17/12 1/4 2/7 44/31 2/7 27/19 3/10 37/26 3/10 1/3 10/7 3/10 33/23 7/22 23/16 15/46 1/3 36/25 1/3 13/9 7/20 29/20 2/5 1/2 16/11 1/3 3/2 0/1 1/3 20/13 1/3 37/24 1/3 1/2 54/35 1/2 17/11 1/4 14/9 3/10 39/25 7/22 64/41 8/25 25/16 13/40 1/3 36/23 1/3 11/7 7/20 41/26 4/11 11/30 112/71 4/11 71/45 3/8 30/19 3/8 49/31 5/12 19/12 1/3 3/8 27/17 1/2 35/22 1/3 1/2 8/5 1/3 37/23 3/8 66/41 3/8 29/18 7/18 2/5 108/67 2/5 79/49 13/32 50/31 1/2 71/44 2/5 1/2 21/13 1/2 55/34 3/8 2/5 34/21 1/2 13/8 2/5 1/2 18/11 1/2 23/14 1/2 1/1 51/31 1/2 28/17 0/1 33/20 0/1 1/3 5/3 1/4 37/22 1/3 1/2 32/19 1/3 27/16 1/2 49/29 1/4 71/42 0/1 1/2 22/13 1/2 17/10 1/4 2/7 29/17 1/4 12/7 1/3 43/25 7/20 74/43 5/14 31/18 5/14 4/11 50/29 1/2 19/11 3/8 7/4 1/3 1/2 23/13 11/28 39/22 2/5 3/7 16/9 2/5 41/23 7/16 66/37 1/2 25/14 3/7 7/16 34/19 1/2 9/5 1/2 38/21 1/2 29/16 1/2 2/3 20/11 1/1 11/6 0/1 1/4 35/19 1/4 24/13 1/3 13/7 3/8 15/8 0/1 1/3 2/1 1/2 13/6 0/1 1/2 37/17 1/4 24/11 1/3 11/5 1/4 9/4 1/2 25/11 7/12 41/18 9/14 2/3 57/25 1/2 73/32 1/2 2/3 16/7 2/3 39/17 5/6 23/10 1/1 3/2 30/13 1/2 7/3 1/0 40/17 0/1 73/31 1/0 33/14 -1/1 0/1 26/11 1/2 45/19 1/2 19/8 1/1 1/0 31/13 1/0 12/5 0/1 41/17 1/8 111/46 0/1 1/7 181/75 1/8 70/29 1/6 29/12 0/1 1/6 75/31 1/6 46/19 3/14 63/26 1/4 17/7 1/4 90/37 1/2 73/30 0/1 1/2 56/23 0/1 39/16 0/1 1/3 22/9 1/6 5/2 1/3 1/2 18/7 1/2 31/12 1/2 6/11 106/41 1/2 75/29 1/2 44/17 4/7 13/5 5/8 73/28 1/2 2/3 60/23 2/3 47/18 3/4 1/1 34/13 1/2 89/34 5/8 2/3 144/55 2/3 55/21 3/4 21/8 2/3 1/1 71/27 3/4 50/19 5/6 79/30 9/10 1/1 108/41 1/1 29/11 1/0 66/25 1/2 103/39 1/0 37/14 1/2 1/1 8/3 1/1 35/13 1/0 27/10 1/0 19/7 1/0 11/4 -1/4 0/1 36/13 0/1 25/9 1/16 64/23 0/1 39/14 0/1 1/9 14/5 1/6 17/6 2/9 1/4 54/19 1/4 37/13 1/4 20/7 2/7 3/1 1/2 19/6 3/1 1/0 54/17 1/0 35/11 1/0 16/5 -1/1 13/4 -1/6 0/1 36/11 0/1 23/7 1/16 33/10 0/1 1/9 10/3 1/6 47/14 1/5 1/4 84/25 2/9 37/11 1/4 27/8 1/4 17/5 1/4 7/2 1/3 1/2 18/5 1/2 29/8 1/2 4/7 69/19 1/2 178/49 1/2 287/79 7/12 396/109 3/5 109/30 1/2 3/5 40/11 3/5 51/14 3/5 2/3 11/3 3/4 48/13 1/1 37/10 1/2 1/1 26/7 1/2 67/18 9/10 1/1 108/29 1/1 41/11 5/4 56/15 2/1 71/19 1/0 15/4 0/1 1/1 34/9 1/2 53/14 3/4 1/1 72/19 1/1 19/5 1/0 23/6 1/1 3/2 4/1 0/1 25/6 1/4 1/3 46/11 3/10 21/5 1/2 17/4 0/1 1/4 30/7 1/4 43/10 2/7 3/10 13/3 3/8 9/2 1/2 23/5 1/0 60/13 1/1 37/8 1/2 1/1 51/11 1/2 14/3 1/2 33/7 3/2 19/4 -1/1 1/0 5/1 1/0 26/5 1/6 47/9 1/8 21/4 0/1 1/5 37/7 1/4 16/3 1/3 11/2 0/1 1/0 17/3 1/4 23/4 3/10 1/3 6/1 1/2 25/4 3/4 1/1 44/7 2/1 19/3 1/0 13/2 -1/2 0/1 20/3 1/3 27/4 1/2 34/5 1/2 7/1 1/0 22/3 1/6 15/2 0/1 1/3 23/3 3/8 8/1 0/1 9/1 1/2 10/1 1/2 11/1 1/0 12/1 0/1 1/0 0/1 1/2 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(73,684,-46,-431) (-9/1,1/0) -> (-27/17,-73/46) Hyperbolic Matrix(71,612,50,431) (-9/1,-8/1) -> (44/31,27/19) Hyperbolic Matrix(71,540,-38,-289) (-8/1,-15/2) -> (-15/8,-28/15) Hyperbolic Matrix(215,1584,166,1223) (-15/2,-22/3) -> (22/17,57/44) Hyperbolic Matrix(287,2088,178,1295) (-22/3,-7/1) -> (79/49,50/31) Hyperbolic Matrix(71,468,-22,-145) (-7/1,-13/2) -> (-13/4,-29/9) Hyperbolic Matrix(73,468,-56,-359) (-13/2,-6/1) -> (-30/23,-13/10) Hyperbolic Matrix(71,396,-26,-145) (-6/1,-11/2) -> (-11/4,-30/11) Hyperbolic Matrix(73,396,40,217) (-11/2,-16/3) -> (20/11,11/6) Hyperbolic Matrix(217,1152,68,361) (-16/3,-37/7) -> (35/11,16/5) Hyperbolic Matrix(431,2268,164,863) (-37/7,-21/4) -> (21/8,71/27) Hyperbolic Matrix(289,1512,-220,-1151) (-21/4,-26/5) -> (-46/35,-21/16) Hyperbolic Matrix(361,1872,264,1369) (-26/5,-5/1) -> (67/49,26/19) Hyperbolic Matrix(143,684,60,287) (-5/1,-19/4) -> (19/8,31/13) Hyperbolic Matrix(145,684,46,217) (-19/4,-33/7) -> (3/1,19/6) Hyperbolic Matrix(215,1008,138,647) (-33/7,-14/3) -> (14/9,39/25) Hyperbolic Matrix(71,324,-16,-73) (-14/3,-9/2) -> (-9/2,-22/5) Parabolic Matrix(361,1584,312,1369) (-22/5,-57/13) -> (15/13,22/19) Hyperbolic Matrix(649,2844,526,2305) (-57/13,-35/8) -> (37/30,21/17) Hyperbolic Matrix(215,936,-116,-505) (-35/8,-13/3) -> (-13/7,-37/20) Hyperbolic Matrix(143,612,-118,-505) (-13/3,-17/4) -> (-17/14,-23/19) Hyperbolic Matrix(359,1512,222,935) (-17/4,-21/5) -> (21/13,55/34) Hyperbolic Matrix(217,900,-156,-647) (-21/5,-4/1) -> (-32/23,-57/41) Hyperbolic Matrix(215,828,168,647) (-4/1,-23/6) -> (23/18,32/25) Hyperbolic Matrix(217,828,38,145) (-23/6,-19/5) -> (17/3,23/4) Hyperbolic Matrix(647,2448,-476,-1801) (-19/5,-34/9) -> (-34/25,-53/39) Hyperbolic Matrix(143,540,76,287) (-34/9,-15/4) -> (15/8,2/1) Hyperbolic Matrix(791,2952,-444,-1657) (-15/4,-41/11) -> (-41/23,-57/32) Hyperbolic Matrix(2377,8856,638,2377) (-41/11,-108/29) -> (108/29,41/11) Hyperbolic Matrix(3887,14472,1044,3887) (-108/29,-67/18) -> (67/18,108/29) Hyperbolic Matrix(503,1872,406,1511) (-67/18,-26/7) -> (26/21,5/4) Hyperbolic Matrix(359,1332,252,935) (-26/7,-37/10) -> (37/26,10/7) Hyperbolic Matrix(215,792,-98,-361) (-37/10,-11/3) -> (-11/5,-35/16) Hyperbolic Matrix(287,1044,-218,-793) (-11/3,-40/11) -> (-4/3,-25/19) Hyperbolic Matrix(1367,4968,812,2951) (-40/11,-109/30) -> (37/22,32/19) Hyperbolic Matrix(4103,14904,-2914,-10585) (-109/30,-69/19) -> (-69/49,-107/76) Hyperbolic Matrix(1151,4176,476,1727) (-69/19,-29/8) -> (29/12,75/31) Hyperbolic Matrix(289,1044,80,289) (-29/8,-18/5) -> (18/5,29/8) Hyperbolic Matrix(71,252,20,71) (-18/5,-7/2) -> (7/2,18/5) Hyperbolic Matrix(73,252,42,145) (-7/2,-17/5) -> (19/11,7/4) Hyperbolic Matrix(287,972,106,359) (-17/5,-27/8) -> (27/10,19/7) Hyperbolic Matrix(577,1944,214,721) (-27/8,-37/11) -> (35/13,27/10) Hyperbolic Matrix(1585,5328,-1242,-4175) (-37/11,-47/14) -> (-97/76,-37/29) Hyperbolic Matrix(505,1692,-408,-1367) (-47/14,-10/3) -> (-26/21,-47/38) Hyperbolic Matrix(359,1188,152,503) (-10/3,-33/10) -> (33/14,26/11) Hyperbolic Matrix(503,1656,284,935) (-33/10,-23/7) -> (23/13,39/22) Hyperbolic Matrix(505,1656,154,505) (-23/7,-36/11) -> (36/11,23/7) Hyperbolic Matrix(287,936,88,287) (-36/11,-13/4) -> (13/4,36/11) Hyperbolic Matrix(359,1152,-292,-937) (-29/9,-16/5) -> (-16/13,-43/35) Hyperbolic Matrix(361,1152,68,217) (-16/5,-35/11) -> (37/7,16/3) Hyperbolic Matrix(1223,3888,430,1367) (-35/11,-54/17) -> (54/19,37/13) Hyperbolic Matrix(647,2052,204,647) (-54/17,-19/6) -> (19/6,54/17) Hyperbolic Matrix(217,684,46,145) (-19/6,-3/1) -> (33/7,19/4) Hyperbolic Matrix(289,828,126,361) (-3/1,-20/7) -> (16/7,39/17) Hyperbolic Matrix(1441,4104,-1112,-3167) (-20/7,-37/13) -> (-35/27,-92/71) Hyperbolic Matrix(1367,3888,430,1223) (-37/13,-54/19) -> (54/17,35/11) Hyperbolic Matrix(647,1836,228,647) (-54/19,-17/6) -> (17/6,54/19) Hyperbolic Matrix(217,612,128,361) (-17/6,-14/5) -> (22/13,17/10) Hyperbolic Matrix(503,1404,206,575) (-14/5,-39/14) -> (39/16,22/9) Hyperbolic Matrix(505,1404,-414,-1151) (-39/14,-25/9) -> (-11/9,-39/32) Hyperbolic Matrix(649,1800,234,649) (-25/9,-36/13) -> (36/13,25/9) Hyperbolic Matrix(287,792,104,287) (-36/13,-11/4) -> (11/4,36/13) Hyperbolic Matrix(793,2160,344,937) (-30/11,-49/18) -> (23/10,30/13) Hyperbolic Matrix(503,1368,132,359) (-49/18,-19/7) -> (19/5,23/6) Hyperbolic Matrix(359,972,106,287) (-19/7,-27/10) -> (27/8,17/5) Hyperbolic Matrix(721,1944,214,577) (-27/10,-35/13) -> (37/11,27/8) Hyperbolic Matrix(215,576,134,359) (-35/13,-8/3) -> (8/5,37/23) Hyperbolic Matrix(217,576,136,361) (-8/3,-37/14) -> (35/22,8/5) Hyperbolic Matrix(505,1332,-218,-575) (-37/14,-29/11) -> (-7/3,-37/16) Hyperbolic Matrix(2377,6264,902,2377) (-29/11,-108/41) -> (108/41,29/11) Hyperbolic Matrix(6479,17064,2460,6479) (-108/41,-79/30) -> (79/30,108/41) Hyperbolic Matrix(793,2088,684,1801) (-79/30,-50/19) -> (22/19,7/6) Hyperbolic Matrix(1081,2844,-848,-2231) (-50/19,-21/8) -> (-51/40,-14/11) Hyperbolic Matrix(577,1512,440,1153) (-21/8,-55/21) -> (17/13,21/16) Hyperbolic Matrix(1871,4896,-1156,-3025) (-55/21,-34/13) -> (-34/21,-89/55) Hyperbolic Matrix(937,2448,524,1369) (-34/13,-47/18) -> (25/14,34/19) Hyperbolic Matrix(3311,8640,-2594,-6769) (-47/18,-60/23) -> (-60/47,-97/76) Hyperbolic Matrix(4969,12960,-3892,-10151) (-60/23,-73/28) -> (-143/112,-60/47) Hyperbolic Matrix(1727,4500,1022,2663) (-73/28,-13/5) -> (49/29,71/42) Hyperbolic Matrix(361,936,-194,-503) (-13/5,-44/17) -> (-28/15,-13/7) Hyperbolic Matrix(2519,6516,1614,4175) (-44/17,-75/29) -> (39/25,64/41) Hyperbolic Matrix(1727,4464,-1226,-3169) (-75/29,-31/12) -> (-31/22,-69/49) Hyperbolic Matrix(433,1116,168,433) (-31/12,-18/7) -> (18/7,31/12) Hyperbolic Matrix(71,180,28,71) (-18/7,-5/2) -> (5/2,18/7) Hyperbolic Matrix(73,180,-58,-143) (-5/2,-17/7) -> (-19/15,-5/4) Hyperbolic Matrix(505,1224,446,1081) (-17/7,-63/26) -> (9/8,17/15) Hyperbolic Matrix(1873,4536,1368,3313) (-63/26,-46/19) -> (26/19,63/46) Hyperbolic Matrix(937,2268,-654,-1583) (-46/19,-29/12) -> (-43/30,-10/7) Hyperbolic Matrix(359,864,-150,-361) (-29/12,-12/5) -> (-12/5,-43/18) Parabolic Matrix(1583,3780,874,2087) (-43/18,-74/31) -> (38/21,29/16) Hyperbolic Matrix(649,1548,-392,-935) (-74/31,-31/13) -> (-5/3,-38/23) Hyperbolic Matrix(287,684,60,143) (-31/13,-19/8) -> (19/4,5/1) Hyperbolic Matrix(577,1368,-364,-863) (-19/8,-26/11) -> (-46/29,-19/12) Hyperbolic Matrix(503,1188,152,359) (-26/11,-33/14) -> (33/10,10/3) Hyperbolic Matrix(215,504,-154,-361) (-33/14,-7/3) -> (-7/5,-39/28) Hyperbolic Matrix(2447,5652,-1372,-3169) (-37/16,-30/13) -> (-66/37,-107/60) Hyperbolic Matrix(359,828,62,143) (-30/13,-23/10) -> (23/4,6/1) Hyperbolic Matrix(721,1656,502,1153) (-23/10,-39/17) -> (33/23,23/16) Hyperbolic Matrix(361,828,126,289) (-39/17,-16/7) -> (20/7,3/1) Hyperbolic Matrix(143,324,-64,-145) (-16/7,-9/4) -> (-9/4,-20/9) Parabolic Matrix(1153,2556,-844,-1871) (-20/9,-31/14) -> (-41/30,-56/41) Hyperbolic Matrix(359,792,228,503) (-31/14,-11/5) -> (11/7,41/26) Hyperbolic Matrix(1367,2988,296,647) (-35/16,-24/11) -> (60/13,37/8) Hyperbolic Matrix(431,936,-332,-721) (-24/11,-13/6) -> (-13/10,-48/37) Hyperbolic Matrix(217,468,134,289) (-13/6,-2/1) -> (34/21,13/8) Hyperbolic Matrix(287,540,76,143) (-2/1,-15/8) -> (15/4,34/9) Hyperbolic Matrix(1441,2664,390,721) (-37/20,-24/13) -> (48/13,37/10) Hyperbolic Matrix(431,792,-314,-577) (-24/13,-11/6) -> (-11/8,-48/35) Hyperbolic Matrix(217,396,40,73) (-11/6,-20/11) -> (16/3,11/2) Hyperbolic Matrix(575,1044,396,719) (-20/11,-29/16) -> (29/20,16/11) Hyperbolic Matrix(359,648,-200,-361) (-29/16,-9/5) -> (-9/5,-43/24) Parabolic Matrix(2231,3996,924,1655) (-43/24,-34/19) -> (70/29,29/12) Hyperbolic Matrix(1369,2448,524,937) (-34/19,-25/14) -> (47/18,34/13) Hyperbolic Matrix(1009,1800,162,289) (-25/14,-66/37) -> (6/1,25/4) Hyperbolic Matrix(1151,2052,686,1223) (-107/60,-41/23) -> (5/3,37/22) Hyperbolic Matrix(3457,6156,-2668,-4751) (-57/32,-16/9) -> (-92/71,-57/44) Hyperbolic Matrix(1441,2556,-1136,-2015) (-16/9,-39/22) -> (-33/26,-52/41) Hyperbolic Matrix(935,1656,284,503) (-39/22,-23/13) -> (23/7,33/10) Hyperbolic Matrix(143,252,122,215) (-23/13,-7/4) -> (7/6,13/11) Hyperbolic Matrix(145,252,42,73) (-7/4,-19/11) -> (17/5,7/2) Hyperbolic Matrix(647,1116,-418,-721) (-19/11,-31/18) -> (-31/20,-17/11) Hyperbolic Matrix(649,1116,-460,-791) (-31/18,-12/7) -> (-24/17,-31/22) Hyperbolic Matrix(359,612,-254,-433) (-12/7,-17/10) -> (-17/12,-24/17) Hyperbolic Matrix(361,612,128,217) (-17/10,-22/13) -> (14/5,17/6) Hyperbolic Matrix(3023,5112,-1874,-3169) (-22/13,-49/29) -> (-121/75,-50/31) Hyperbolic Matrix(1151,1944,852,1439) (-49/29,-27/16) -> (27/20,23/17) Hyperbolic Matrix(577,972,428,721) (-27/16,-32/19) -> (4/3,27/20) Hyperbolic Matrix(2951,4968,812,1367) (-32/19,-37/22) -> (109/30,40/11) Hyperbolic Matrix(2377,3996,900,1513) (-37/22,-5/3) -> (103/39,37/14) Hyperbolic Matrix(3097,5112,-2224,-3671) (-38/23,-33/20) -> (-39/28,-110/79) Hyperbolic Matrix(1943,3204,698,1151) (-33/20,-28/17) -> (64/23,39/14) Hyperbolic Matrix(503,828,-438,-721) (-28/17,-23/14) -> (-23/20,-8/7) Hyperbolic Matrix(505,828,308,505) (-23/14,-18/11) -> (18/11,23/14) Hyperbolic Matrix(287,468,176,287) (-18/11,-13/8) -> (13/8,18/11) Hyperbolic Matrix(289,468,134,217) (-13/8,-34/21) -> (2/1,13/6) Hyperbolic Matrix(12815,20736,4894,7919) (-89/55,-144/89) -> (144/55,55/21) Hyperbolic Matrix(12817,20736,4896,7921) (-144/89,-55/34) -> (89/34,144/55) Hyperbolic Matrix(935,1512,222,359) (-55/34,-21/13) -> (21/5,17/4) Hyperbolic Matrix(1583,2556,-1160,-1873) (-21/13,-71/44) -> (-71/52,-15/11) Hyperbolic Matrix(6047,9756,2320,3743) (-71/44,-121/75) -> (13/5,73/28) Hyperbolic Matrix(1295,2088,178,287) (-50/31,-79/49) -> (7/1,22/3) Hyperbolic Matrix(10585,17064,6566,10585) (-79/49,-108/67) -> (108/67,79/49) Hyperbolic Matrix(3887,6264,2412,3887) (-108/67,-29/18) -> (29/18,108/67) Hyperbolic Matrix(2303,3708,536,863) (-29/18,-66/41) -> (30/7,43/10) Hyperbolic Matrix(3601,5796,2282,3673) (-66/41,-37/23) -> (71/45,30/19) Hyperbolic Matrix(359,576,134,215) (-37/23,-8/5) -> (8/3,35/13) Hyperbolic Matrix(361,576,136,217) (-8/5,-35/22) -> (37/14,8/3) Hyperbolic Matrix(1223,1944,860,1367) (-35/22,-27/17) -> (27/19,37/26) Hyperbolic Matrix(14543,23076,-11390,-18073) (-73/46,-119/75) -> (-83/65,-143/112) Hyperbolic Matrix(3313,5256,636,1009) (-119/75,-46/29) -> (26/5,47/9) Hyperbolic Matrix(433,684,-364,-575) (-19/12,-30/19) -> (-6/5,-19/16) Hyperbolic Matrix(3673,5796,2282,3601) (-30/19,-71/45) -> (37/23,66/41) Hyperbolic Matrix(3743,5904,-2922,-4609) (-71/45,-41/26) -> (-41/32,-73/57) Hyperbolic Matrix(937,1476,412,649) (-41/26,-11/7) -> (25/11,41/18) Hyperbolic Matrix(505,792,322,505) (-11/7,-36/23) -> (36/23,11/7) Hyperbolic Matrix(1151,1800,736,1151) (-36/23,-25/16) -> (25/16,36/23) Hyperbolic Matrix(1153,1800,-1014,-1583) (-25/16,-64/41) -> (-8/7,-25/22) Hyperbolic Matrix(4175,6516,1614,2519) (-64/41,-39/25) -> (75/29,44/17) Hyperbolic Matrix(647,1008,138,215) (-39/25,-14/9) -> (14/3,33/7) Hyperbolic Matrix(719,1116,556,863) (-14/9,-31/20) -> (31/24,22/17) Hyperbolic Matrix(71,108,-48,-73) (-17/11,-3/2) -> (-3/2,-19/13) Parabolic Matrix(1873,2736,-1478,-2159) (-19/13,-54/37) -> (-90/71,-19/15) Hyperbolic Matrix(2665,3888,1728,2521) (-54/37,-35/24) -> (37/24,54/35) Hyperbolic Matrix(791,1152,642,935) (-35/24,-16/11) -> (16/13,37/30) Hyperbolic Matrix(719,1044,396,575) (-16/11,-29/20) -> (29/16,20/11) Hyperbolic Matrix(721,1044,-596,-863) (-29/20,-13/9) -> (-23/19,-29/24) Hyperbolic Matrix(649,936,450,649) (-13/9,-36/25) -> (36/25,13/9) Hyperbolic Matrix(1151,1656,800,1151) (-36/25,-23/16) -> (23/16,36/25) Hyperbolic Matrix(1153,1656,502,721) (-23/16,-33/23) -> (39/17,23/10) Hyperbolic Matrix(2737,3924,754,1081) (-33/23,-43/30) -> (29/8,69/19) Hyperbolic Matrix(935,1332,252,359) (-10/7,-37/26) -> (37/10,26/7) Hyperbolic Matrix(1367,1944,860,1223) (-37/26,-27/19) -> (27/17,35/22) Hyperbolic Matrix(431,612,50,71) (-27/19,-44/31) -> (8/1,9/1) Hyperbolic Matrix(863,1224,710,1007) (-44/31,-17/12) -> (17/14,28/23) Hyperbolic Matrix(13247,18648,-9514,-13393) (-107/76,-38/27) -> (-110/79,-181/130) Hyperbolic Matrix(1945,2736,-1586,-2231) (-38/27,-7/5) -> (-65/53,-38/31) Hyperbolic Matrix(71209,99144,19600,27289) (-181/130,-252/181) -> (396/109,109/30) Hyperbolic Matrix(72143,100440,19858,27647) (-252/181,-71/51) -> (287/79,396/109) Hyperbolic Matrix(7345,10224,4656,6481) (-71/51,-32/23) -> (112/71,71/45) Hyperbolic Matrix(2305,3204,-1864,-2591) (-57/41,-25/18) -> (-47/38,-21/17) Hyperbolic Matrix(649,900,468,649) (-25/18,-18/13) -> (18/13,25/18) Hyperbolic Matrix(287,396,208,287) (-18/13,-11/8) -> (11/8,18/13) Hyperbolic Matrix(1943,2664,892,1223) (-48/35,-37/27) -> (37/17,24/11) Hyperbolic Matrix(289,396,-262,-359) (-37/27,-26/19) -> (-10/9,-1/1) Hyperbolic Matrix(1369,1872,264,361) (-26/19,-67/49) -> (5/1,26/5) Hyperbolic Matrix(10585,14472,7742,10585) (-67/49,-108/79) -> (108/79,67/49) Hyperbolic Matrix(6479,8856,4740,6479) (-108/79,-41/30) -> (41/30,108/79) Hyperbolic Matrix(5905,8064,2426,3313) (-56/41,-71/52) -> (73/30,56/23) Hyperbolic Matrix(2089,2844,1270,1729) (-15/11,-49/36) -> (23/14,51/31) Hyperbolic Matrix(2593,3528,-2116,-2879) (-49/36,-34/25) -> (-38/31,-49/40) Hyperbolic Matrix(3815,5184,1006,1367) (-53/39,-72/53) -> (72/19,19/5) Hyperbolic Matrix(3817,5184,1008,1369) (-72/53,-19/14) -> (53/14,72/19) Hyperbolic Matrix(1009,1368,638,865) (-19/14,-23/17) -> (49/31,19/12) Hyperbolic Matrix(1439,1944,852,1151) (-23/17,-27/20) -> (27/16,49/29) Hyperbolic Matrix(721,972,428,577) (-27/20,-4/3) -> (32/19,27/16) Hyperbolic Matrix(575,756,54,71) (-25/19,-46/35) -> (10/1,11/1) Hyperbolic Matrix(1153,1512,440,577) (-21/16,-17/13) -> (55/21,21/8) Hyperbolic Matrix(937,1224,-826,-1079) (-17/13,-47/36) -> (-25/22,-17/15) Hyperbolic Matrix(2951,3852,1654,2159) (-47/36,-30/23) -> (66/37,25/14) Hyperbolic Matrix(1943,2520,1054,1367) (-48/37,-35/27) -> (35/19,24/13) Hyperbolic Matrix(1223,1584,166,215) (-57/44,-22/17) -> (22/3,15/2) Hyperbolic Matrix(1727,2232,1002,1295) (-22/17,-31/24) -> (31/18,50/29) Hyperbolic Matrix(503,648,-392,-505) (-31/24,-9/7) -> (-9/7,-41/32) Parabolic Matrix(4105,5256,1744,2233) (-73/57,-32/25) -> (40/17,73/31) Hyperbolic Matrix(647,828,168,215) (-32/25,-23/18) -> (23/6,4/1) Hyperbolic Matrix(4679,5976,3438,4391) (-23/18,-83/65) -> (83/61,49/36) Hyperbolic Matrix(2089,2664,396,505) (-37/29,-51/40) -> (21/4,37/7) Hyperbolic Matrix(793,1008,284,361) (-14/11,-33/26) -> (39/14,14/5) Hyperbolic Matrix(3889,4932,1704,2161) (-52/41,-71/56) -> (73/32,16/7) Hyperbolic Matrix(10223,12960,4202,5327) (-71/56,-90/71) -> (90/37,73/30) Hyperbolic Matrix(1511,1872,406,503) (-5/4,-26/21) -> (26/7,67/18) Hyperbolic Matrix(2159,2664,466,575) (-21/17,-37/30) -> (37/8,51/11) Hyperbolic Matrix(1081,1332,702,865) (-37/30,-16/13) -> (20/13,37/24) Hyperbolic Matrix(2375,2916,-1936,-2377) (-43/35,-27/22) -> (-27/22,-65/53) Parabolic Matrix(3527,4320,2762,3383) (-49/40,-11/9) -> (83/65,23/18) Hyperbolic Matrix(1655,2016,1004,1223) (-39/32,-28/23) -> (28/17,33/20) Hyperbolic Matrix(1007,1224,710,863) (-28/23,-17/14) -> (17/12,44/31) Hyperbolic Matrix(1729,2088,1074,1297) (-29/24,-6/5) -> (66/41,29/18) Hyperbolic Matrix(577,684,426,505) (-19/16,-13/11) -> (23/17,19/14) Hyperbolic Matrix(215,252,122,143) (-13/11,-7/6) -> (7/4,23/13) Hyperbolic Matrix(1801,2088,684,793) (-7/6,-22/19) -> (50/19,79/30) Hyperbolic Matrix(1151,1332,248,287) (-22/19,-15/13) -> (51/11,14/3) Hyperbolic Matrix(937,1080,688,793) (-15/13,-23/20) -> (49/36,15/11) Hyperbolic Matrix(1081,1224,446,505) (-17/15,-9/8) -> (63/26,17/7) Hyperbolic Matrix(935,1044,386,431) (-9/8,-10/9) -> (46/19,63/26) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(359,-396,262,-289) (1/1,9/8) -> (63/46,37/27) Hyperbolic Matrix(793,-900,126,-143) (17/15,8/7) -> (44/7,19/3) Hyperbolic Matrix(721,-828,438,-503) (8/7,15/13) -> (51/31,28/17) Hyperbolic Matrix(575,-684,364,-433) (13/11,6/5) -> (30/19,49/31) Hyperbolic Matrix(505,-612,118,-143) (6/5,17/14) -> (17/4,30/7) Hyperbolic Matrix(1151,-1404,414,-505) (28/23,11/9) -> (25/9,64/23) Hyperbolic Matrix(2879,-3528,2116,-2593) (11/9,38/31) -> (34/25,83/61) Hyperbolic Matrix(1585,-1944,234,-287) (38/31,27/22) -> (27/4,34/5) Hyperbolic Matrix(791,-972,118,-145) (27/22,16/13) -> (20/3,27/4) Hyperbolic Matrix(1223,-1512,292,-361) (21/17,26/21) -> (46/11,21/5) Hyperbolic Matrix(143,-180,58,-73) (5/4,14/11) -> (22/9,5/2) Hyperbolic Matrix(2231,-2844,848,-1081) (14/11,37/29) -> (71/27,50/19) Hyperbolic Matrix(4175,-5328,1242,-1585) (37/29,60/47) -> (84/25,37/11) Hyperbolic Matrix(1297,-1656,112,-143) (60/47,83/65) -> (11/1,12/1) Hyperbolic Matrix(505,-648,392,-503) (32/25,9/7) -> (9/7,40/31) Parabolic Matrix(3959,-5112,2510,-3241) (40/31,31/24) -> (41/26,112/71) Hyperbolic Matrix(3529,-4572,944,-1223) (57/44,35/27) -> (71/19,15/4) Hyperbolic Matrix(721,-936,332,-431) (35/27,13/10) -> (13/6,37/17) Hyperbolic Matrix(359,-468,56,-73) (13/10,17/13) -> (19/3,13/2) Hyperbolic Matrix(793,-1044,218,-287) (21/16,4/3) -> (40/11,51/14) Hyperbolic Matrix(1801,-2448,476,-647) (19/14,34/25) -> (34/9,53/14) Hyperbolic Matrix(2161,-2952,948,-1295) (15/11,41/30) -> (41/18,57/25) Hyperbolic Matrix(577,-792,314,-431) (37/27,11/8) -> (11/6,35/19) Hyperbolic Matrix(647,-900,156,-217) (25/18,32/23) -> (4/1,25/6) Hyperbolic Matrix(361,-504,154,-215) (32/23,7/5) -> (7/3,40/17) Hyperbolic Matrix(433,-612,254,-359) (7/5,17/12) -> (17/10,29/17) Hyperbolic Matrix(1583,-2268,654,-937) (10/7,33/23) -> (75/31,46/19) Hyperbolic Matrix(647,-936,150,-217) (13/9,29/20) -> (43/10,13/3) Hyperbolic Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(1585,-2448,652,-1007) (54/35,17/11) -> (17/7,90/37) Hyperbolic Matrix(721,-1116,418,-647) (17/11,14/9) -> (50/29,19/11) Hyperbolic Matrix(1729,-2700,276,-431) (64/41,25/16) -> (25/4,44/7) Hyperbolic Matrix(863,-1368,364,-577) (19/12,27/17) -> (45/19,19/8) Hyperbolic Matrix(3169,-5112,1874,-3023) (50/31,71/44) -> (71/42,22/13) Hyperbolic Matrix(3457,-5580,1516,-2447) (71/44,21/13) -> (57/25,73/32) Hyperbolic Matrix(3025,-4896,1156,-1871) (55/34,34/21) -> (34/13,89/34) Hyperbolic Matrix(1153,-1908,478,-791) (33/20,5/3) -> (41/17,111/46) Hyperbolic Matrix(505,-864,294,-503) (29/17,12/7) -> (12/7,43/25) Parabolic Matrix(1151,-1980,168,-289) (43/25,74/43) -> (34/5,7/1) Hyperbolic Matrix(3241,-5580,1254,-2159) (74/43,31/18) -> (31/12,106/41) Hyperbolic Matrix(1583,-2808,650,-1153) (39/22,16/9) -> (56/23,39/16) Hyperbolic Matrix(1657,-2952,444,-791) (16/9,41/23) -> (41/11,56/15) Hyperbolic Matrix(5329,-9504,2018,-3599) (41/23,66/37) -> (66/25,103/39) Hyperbolic Matrix(361,-648,200,-359) (34/19,9/5) -> (9/5,38/21) Parabolic Matrix(719,-1332,156,-289) (24/13,13/7) -> (23/5,60/13) Hyperbolic Matrix(289,-540,38,-71) (13/7,15/8) -> (15/2,23/3) Hyperbolic Matrix(361,-792,98,-215) (24/11,11/5) -> (11/3,48/13) Hyperbolic Matrix(145,-324,64,-143) (11/5,9/4) -> (9/4,25/11) Parabolic Matrix(575,-1332,218,-505) (30/13,7/3) -> (29/11,66/25) Hyperbolic Matrix(5975,-14076,2476,-5833) (73/31,33/14) -> (111/46,181/75) Hyperbolic Matrix(289,-684,30,-71) (26/11,45/19) -> (9/1,10/1) Hyperbolic Matrix(361,-864,150,-359) (31/13,12/5) -> (12/5,41/17) Parabolic Matrix(21673,-52308,5966,-14399) (181/75,70/29) -> (178/49,287/79) Hyperbolic Matrix(7991,-20664,2200,-5689) (106/41,75/29) -> (69/19,178/49) Hyperbolic Matrix(431,-1116,56,-145) (44/17,13/5) -> (23/3,8/1) Hyperbolic Matrix(359,-936,28,-73) (73/28,60/23) -> (12/1,1/0) Hyperbolic Matrix(2593,-6768,772,-2015) (60/23,47/18) -> (47/14,84/25) Hyperbolic Matrix(145,-396,26,-71) (19/7,11/4) -> (11/2,17/3) Hyperbolic Matrix(1225,-3492,328,-935) (37/13,20/7) -> (56/15,71/19) Hyperbolic Matrix(145,-468,22,-71) (16/5,13/4) -> (13/2,20/3) Hyperbolic Matrix(719,-2412,172,-577) (10/3,47/14) -> (25/6,46/11) Hyperbolic Matrix(721,-2628,138,-503) (51/14,11/3) -> (47/9,21/4) Hyperbolic Matrix(73,-324,16,-71) (13/3,9/2) -> (9/2,23/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(73,684,-46,-431) -> Matrix(5,-2,8,-3) Matrix(71,612,50,431) -> Matrix(1,-2,4,-7) Matrix(71,540,-38,-289) -> Matrix(1,0,0,1) Matrix(215,1584,166,1223) -> Matrix(1,-2,4,-7) Matrix(287,2088,178,1295) -> Matrix(5,2,12,5) Matrix(71,468,-22,-145) -> Matrix(1,0,4,1) Matrix(73,468,-56,-359) -> Matrix(7,-2,4,-1) Matrix(71,396,-26,-145) -> Matrix(1,0,4,1) Matrix(73,396,40,217) -> Matrix(1,0,0,1) Matrix(217,1152,68,361) -> Matrix(1,-2,0,1) Matrix(431,2268,164,863) -> Matrix(3,2,4,3) Matrix(289,1512,-220,-1151) -> Matrix(1,2,0,1) Matrix(361,1872,264,1369) -> Matrix(1,0,8,1) Matrix(143,684,60,287) -> Matrix(1,0,-4,1) Matrix(145,684,46,217) -> Matrix(7,-2,4,-1) Matrix(215,1008,138,647) -> Matrix(11,-4,36,-13) Matrix(71,324,-16,-73) -> Matrix(5,-2,8,-3) Matrix(361,1584,312,1369) -> Matrix(1,-2,4,-7) Matrix(649,2844,526,2305) -> Matrix(1,-2,4,-7) Matrix(215,936,-116,-505) -> Matrix(1,0,0,1) Matrix(143,612,-118,-505) -> Matrix(1,2,0,1) Matrix(359,1512,222,935) -> Matrix(3,-2,8,-5) Matrix(217,900,-156,-647) -> Matrix(1,2,0,1) Matrix(215,828,168,647) -> Matrix(7,-2,32,-9) Matrix(217,828,38,145) -> Matrix(1,0,0,1) Matrix(647,2448,-476,-1801) -> Matrix(5,-2,8,-3) Matrix(143,540,76,287) -> Matrix(1,0,0,1) Matrix(791,2952,-444,-1657) -> Matrix(27,-8,44,-13) Matrix(2377,8856,638,2377) -> Matrix(31,-10,28,-9) Matrix(3887,14472,1044,3887) -> Matrix(53,-18,56,-19) Matrix(503,1872,406,1511) -> Matrix(23,-8,72,-25) Matrix(359,1332,252,935) -> Matrix(11,-4,36,-13) Matrix(215,792,-98,-361) -> Matrix(5,-2,8,-3) Matrix(287,1044,-218,-793) -> Matrix(19,-8,12,-5) Matrix(1367,4968,812,2951) -> Matrix(5,-2,8,-3) Matrix(4103,14904,-2914,-10585) -> Matrix(19,-8,12,-5) Matrix(1151,4176,476,1727) -> Matrix(9,-4,52,-23) Matrix(289,1044,80,289) -> Matrix(17,-8,32,-15) Matrix(71,252,20,71) -> Matrix(3,-2,8,-5) Matrix(73,252,42,145) -> Matrix(3,-2,8,-5) Matrix(287,972,106,359) -> Matrix(1,-2,0,1) Matrix(577,1944,214,721) -> Matrix(1,4,0,1) Matrix(1585,5328,-1242,-4175) -> Matrix(1,2,0,1) Matrix(505,1692,-408,-1367) -> Matrix(5,6,4,5) Matrix(359,1188,152,503) -> Matrix(1,0,4,1) Matrix(503,1656,284,935) -> Matrix(13,2,32,5) Matrix(505,1656,154,505) -> Matrix(1,0,28,1) Matrix(287,936,88,287) -> Matrix(1,0,-16,1) Matrix(359,1152,-292,-937) -> Matrix(21,-4,16,-3) Matrix(361,1152,68,217) -> Matrix(9,-2,32,-7) Matrix(1223,3888,430,1367) -> Matrix(41,-10,160,-39) Matrix(647,2052,204,647) -> Matrix(23,-6,4,-1) Matrix(217,684,46,145) -> Matrix(7,-2,4,-1) Matrix(289,828,126,361) -> Matrix(3,-4,4,-5) Matrix(1441,4104,-1112,-3167) -> Matrix(1,-2,0,1) Matrix(1367,3888,430,1223) -> Matrix(1,-10,0,1) Matrix(647,1836,228,647) -> Matrix(1,4,4,17) Matrix(217,612,128,361) -> Matrix(1,0,4,1) Matrix(503,1404,206,575) -> Matrix(1,0,8,1) Matrix(505,1404,-414,-1151) -> Matrix(17,2,8,1) Matrix(649,1800,234,649) -> Matrix(1,0,28,1) Matrix(287,792,104,287) -> Matrix(1,0,-12,1) Matrix(793,2160,344,937) -> Matrix(1,0,-4,1) Matrix(503,1368,132,359) -> Matrix(1,0,-4,1) Matrix(359,972,106,287) -> Matrix(9,-2,32,-7) Matrix(721,1944,214,577) -> Matrix(15,-4,64,-17) Matrix(215,576,134,359) -> Matrix(13,-4,36,-11) Matrix(217,576,136,361) -> Matrix(1,0,0,1) Matrix(505,1332,-218,-575) -> Matrix(1,0,0,1) Matrix(2377,6264,902,2377) -> Matrix(7,-2,4,-1) Matrix(6479,17064,2460,6479) -> Matrix(53,-18,56,-19) Matrix(793,2088,684,1801) -> Matrix(23,-8,72,-25) Matrix(1081,2844,-848,-2231) -> Matrix(11,-4,-8,3) Matrix(577,1512,440,1153) -> Matrix(11,-4,36,-13) Matrix(1871,4896,-1156,-3025) -> Matrix(9,-4,16,-7) Matrix(937,2448,524,1369) -> Matrix(3,-2,8,-5) Matrix(3311,8640,-2594,-6769) -> Matrix(5,-2,8,-3) Matrix(4969,12960,-3892,-10151) -> Matrix(5,-2,-12,5) Matrix(1727,4500,1022,2663) -> Matrix(5,-2,8,-3) Matrix(361,936,-194,-503) -> Matrix(9,-4,16,-7) Matrix(2519,6516,1614,4175) -> Matrix(79,-36,248,-113) Matrix(1727,4464,-1226,-3169) -> Matrix(31,-14,20,-9) Matrix(433,1116,168,433) -> Matrix(25,-12,48,-23) Matrix(71,180,28,71) -> Matrix(3,-2,8,-5) Matrix(73,180,-58,-143) -> Matrix(1,0,0,1) Matrix(505,1224,446,1081) -> Matrix(1,-4,4,-15) Matrix(1873,4536,1368,3313) -> Matrix(1,2,4,9) Matrix(937,2268,-654,-1583) -> Matrix(5,6,4,5) Matrix(359,864,-150,-361) -> Matrix(1,0,8,1) Matrix(1583,3780,874,2087) -> Matrix(13,-2,20,-3) Matrix(649,1548,-392,-935) -> Matrix(1,0,-4,1) Matrix(287,684,60,143) -> Matrix(1,0,-4,1) Matrix(577,1368,-364,-863) -> Matrix(5,-2,8,-3) Matrix(503,1188,152,359) -> Matrix(1,0,4,1) Matrix(215,504,-154,-361) -> Matrix(7,-2,4,-1) Matrix(2447,5652,-1372,-3169) -> Matrix(9,-4,16,-7) Matrix(359,828,62,143) -> Matrix(1,0,0,1) Matrix(721,1656,502,1153) -> Matrix(35,-12,108,-37) Matrix(361,828,126,289) -> Matrix(11,-4,36,-13) Matrix(143,324,-64,-145) -> Matrix(9,-4,16,-7) Matrix(1153,2556,-844,-1871) -> Matrix(3,-2,8,-5) Matrix(359,792,228,503) -> Matrix(7,-6,20,-17) Matrix(1367,2988,296,647) -> Matrix(1,0,0,1) Matrix(431,936,-332,-721) -> Matrix(1,2,0,1) Matrix(217,468,134,289) -> Matrix(3,-2,8,-5) Matrix(287,540,76,143) -> Matrix(1,0,0,1) Matrix(1441,2664,390,721) -> Matrix(1,0,0,1) Matrix(431,792,-314,-577) -> Matrix(1,0,0,1) Matrix(217,396,40,73) -> Matrix(1,0,0,1) Matrix(575,1044,396,719) -> Matrix(1,0,0,1) Matrix(359,648,-200,-361) -> Matrix(13,-6,24,-11) Matrix(2231,3996,924,1655) -> Matrix(7,-4,44,-25) Matrix(1369,2448,524,937) -> Matrix(3,-2,8,-5) Matrix(1009,1800,162,289) -> Matrix(3,-2,8,-5) Matrix(1151,2052,686,1223) -> Matrix(7,-4,16,-9) Matrix(3457,6156,-2668,-4751) -> Matrix(3,-2,8,-5) Matrix(1441,2556,-1136,-2015) -> Matrix(3,-2,8,-5) Matrix(935,1656,284,503) -> Matrix(3,-2,32,-21) Matrix(143,252,122,215) -> Matrix(3,-2,8,-5) Matrix(145,252,42,73) -> Matrix(3,-2,8,-5) Matrix(647,1116,-418,-721) -> Matrix(5,-4,4,-3) Matrix(649,1116,-460,-791) -> Matrix(9,-8,8,-7) Matrix(359,612,-254,-433) -> Matrix(1,0,0,1) Matrix(361,612,128,217) -> Matrix(1,0,4,1) Matrix(3023,5112,-1874,-3169) -> Matrix(5,-2,8,-3) Matrix(1151,1944,852,1439) -> Matrix(1,0,0,1) Matrix(577,972,428,721) -> Matrix(3,-2,8,-5) Matrix(2951,4968,812,1367) -> Matrix(5,-2,8,-3) Matrix(2377,3996,900,1513) -> Matrix(1,0,0,1) Matrix(3097,5112,-2224,-3671) -> Matrix(1,2,0,1) Matrix(1943,3204,698,1151) -> Matrix(1,0,8,1) Matrix(503,828,-438,-721) -> Matrix(7,-2,4,-1) Matrix(505,828,308,505) -> Matrix(5,-2,8,-3) Matrix(287,468,176,287) -> Matrix(7,-4,16,-9) Matrix(289,468,134,217) -> Matrix(3,-2,8,-5) Matrix(12815,20736,4894,7919) -> Matrix(25,-16,36,-23) Matrix(12817,20736,4896,7921) -> Matrix(23,-16,36,-25) Matrix(935,1512,222,359) -> Matrix(3,-2,8,-5) Matrix(1583,2556,-1160,-1873) -> Matrix(3,-2,8,-5) Matrix(6047,9756,2320,3743) -> Matrix(1,0,0,1) Matrix(1295,2088,178,287) -> Matrix(3,-2,20,-13) Matrix(10585,17064,6566,10585) -> Matrix(79,-52,196,-129) Matrix(3887,6264,2412,3887) -> Matrix(41,-28,104,-71) Matrix(2303,3708,536,863) -> Matrix(11,-8,40,-29) Matrix(3601,5796,2282,3673) -> Matrix(7,-6,20,-17) Matrix(359,576,134,215) -> Matrix(5,-4,4,-3) Matrix(361,576,136,217) -> Matrix(1,0,0,1) Matrix(1223,1944,860,1367) -> Matrix(1,-2,4,-7) Matrix(14543,23076,-11390,-18073) -> Matrix(3,-2,-4,3) Matrix(3313,5256,636,1009) -> Matrix(3,-2,20,-13) Matrix(433,684,-364,-575) -> Matrix(3,-2,-4,3) Matrix(3673,5796,2282,3601) -> Matrix(7,-6,20,-17) Matrix(3743,5904,-2922,-4609) -> Matrix(3,-2,-4,3) Matrix(937,1476,412,649) -> Matrix(17,-14,28,-23) Matrix(505,792,322,505) -> Matrix(15,-14,44,-41) Matrix(1151,1800,736,1151) -> Matrix(25,-26,76,-79) Matrix(1153,1800,-1014,-1583) -> Matrix(23,-26,8,-9) Matrix(4175,6516,1614,2519) -> Matrix(31,-36,56,-65) Matrix(647,1008,138,215) -> Matrix(3,-4,4,-5) Matrix(719,1116,556,863) -> Matrix(1,-4,4,-15) Matrix(71,108,-48,-73) -> Matrix(1,0,0,1) Matrix(1873,2736,-1478,-2159) -> Matrix(1,0,0,1) Matrix(2665,3888,1728,2521) -> Matrix(3,-2,8,-5) Matrix(791,1152,642,935) -> Matrix(1,-2,4,-7) Matrix(719,1044,396,575) -> Matrix(1,0,0,1) Matrix(721,1044,-596,-863) -> Matrix(13,-10,4,-3) Matrix(649,936,450,649) -> Matrix(15,-14,44,-41) Matrix(1151,1656,800,1151) -> Matrix(29,-30,88,-91) Matrix(1153,1656,502,721) -> Matrix(11,-12,12,-13) Matrix(2737,3924,754,1081) -> Matrix(19,-22,32,-37) Matrix(935,1332,252,359) -> Matrix(3,-4,4,-5) Matrix(1367,1944,860,1223) -> Matrix(1,-2,4,-7) Matrix(431,612,50,71) -> Matrix(1,-2,4,-7) Matrix(863,1224,710,1007) -> Matrix(1,-4,4,-15) Matrix(13247,18648,-9514,-13393) -> Matrix(11,-14,4,-5) Matrix(1945,2736,-1586,-2231) -> Matrix(13,-18,8,-11) Matrix(71209,99144,19600,27289) -> Matrix(5,-12,8,-19) Matrix(72143,100440,19858,27647) -> Matrix(7,-24,12,-41) Matrix(7345,10224,4656,6481) -> Matrix(3,-2,8,-5) Matrix(2305,3204,-1864,-2591) -> Matrix(5,-14,4,-11) Matrix(649,900,468,649) -> Matrix(1,-6,4,-23) Matrix(287,396,208,287) -> Matrix(1,0,4,1) Matrix(1943,2664,892,1223) -> Matrix(1,-2,4,-7) Matrix(289,396,-262,-359) -> Matrix(1,0,0,1) Matrix(1369,1872,264,361) -> Matrix(1,0,8,1) Matrix(10585,14472,7742,10585) -> Matrix(1,0,20,1) Matrix(6479,8856,4740,6479) -> Matrix(1,0,-8,1) Matrix(5905,8064,2426,3313) -> Matrix(1,0,0,1) Matrix(2089,2844,1270,1729) -> Matrix(1,0,0,1) Matrix(2593,3528,-2116,-2879) -> Matrix(7,-2,4,-1) Matrix(3815,5184,1006,1367) -> Matrix(5,-4,4,-3) Matrix(3817,5184,1008,1369) -> Matrix(3,-4,4,-5) Matrix(1009,1368,638,865) -> Matrix(3,-2,8,-5) Matrix(1439,1944,852,1151) -> Matrix(1,0,0,1) Matrix(721,972,428,577) -> Matrix(3,-2,8,-5) Matrix(575,756,54,71) -> Matrix(1,-2,4,-7) Matrix(1153,1512,440,577) -> Matrix(3,-4,4,-5) Matrix(937,1224,-826,-1079) -> Matrix(1,2,0,1) Matrix(2951,3852,1654,2159) -> Matrix(5,-8,12,-19) Matrix(1943,2520,1054,1367) -> Matrix(1,-4,4,-15) Matrix(1223,1584,166,215) -> Matrix(1,-2,4,-7) Matrix(1727,2232,1002,1295) -> Matrix(3,-8,8,-21) Matrix(503,648,-392,-505) -> Matrix(1,-6,0,1) Matrix(4105,5256,1744,2233) -> Matrix(1,2,0,1) Matrix(647,828,168,215) -> Matrix(1,2,0,1) Matrix(4679,5976,3438,4391) -> Matrix(1,0,4,1) Matrix(2089,2664,396,505) -> Matrix(1,2,4,9) Matrix(793,1008,284,361) -> Matrix(1,0,8,1) Matrix(3889,4932,1704,2161) -> Matrix(5,-2,8,-3) Matrix(10223,12960,4202,5327) -> Matrix(1,0,0,1) Matrix(1511,1872,406,503) -> Matrix(7,-8,8,-9) Matrix(2159,2664,466,575) -> Matrix(3,-4,4,-5) Matrix(1081,1332,702,865) -> Matrix(1,-2,4,-7) Matrix(2375,2916,-1936,-2377) -> Matrix(25,-36,16,-23) Matrix(3527,4320,2762,3383) -> Matrix(1,-2,8,-15) Matrix(1655,2016,1004,1223) -> Matrix(1,-2,0,1) Matrix(1007,1224,710,863) -> Matrix(1,-4,4,-15) Matrix(1729,2088,1074,1297) -> Matrix(3,-14,8,-37) Matrix(577,684,426,505) -> Matrix(1,0,4,1) Matrix(215,252,122,143) -> Matrix(3,-2,8,-5) Matrix(1801,2088,684,793) -> Matrix(7,-8,8,-9) Matrix(1151,1332,248,287) -> Matrix(3,-4,4,-5) Matrix(937,1080,688,793) -> Matrix(1,-2,4,-7) Matrix(1081,1224,446,505) -> Matrix(1,-4,4,-15) Matrix(935,1044,386,431) -> Matrix(1,2,4,9) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(359,-396,262,-289) -> Matrix(1,0,0,1) Matrix(793,-900,126,-143) -> Matrix(15,-4,4,-1) Matrix(721,-828,438,-503) -> Matrix(7,-2,4,-1) Matrix(575,-684,364,-433) -> Matrix(11,-2,28,-5) Matrix(505,-612,118,-143) -> Matrix(7,-2,32,-9) Matrix(1151,-1404,414,-505) -> Matrix(7,-2,88,-25) Matrix(2879,-3528,2116,-2593) -> Matrix(7,-2,4,-1) Matrix(1585,-1944,234,-287) -> Matrix(27,-8,44,-13) Matrix(791,-972,118,-145) -> Matrix(13,-4,36,-11) Matrix(1223,-1512,292,-361) -> Matrix(13,-4,36,-11) Matrix(143,-180,58,-73) -> Matrix(1,0,0,1) Matrix(2231,-2844,848,-1081) -> Matrix(19,-4,24,-5) Matrix(4175,-5328,1242,-1585) -> Matrix(7,-2,32,-9) Matrix(1297,-1656,112,-143) -> Matrix(1,0,-4,1) Matrix(505,-648,392,-503) -> Matrix(25,-6,96,-23) Matrix(3959,-5112,2510,-3241) -> Matrix(61,-16,164,-43) Matrix(3529,-4572,944,-1223) -> Matrix(7,-2,4,-1) Matrix(721,-936,332,-431) -> Matrix(7,-2,32,-9) Matrix(359,-468,56,-73) -> Matrix(7,-2,4,-1) Matrix(793,-1044,218,-287) -> Matrix(27,-8,44,-13) Matrix(1801,-2448,476,-647) -> Matrix(5,-2,8,-3) Matrix(2161,-2952,948,-1295) -> Matrix(5,-2,8,-3) Matrix(577,-792,314,-431) -> Matrix(1,0,0,1) Matrix(647,-900,156,-217) -> Matrix(7,-2,32,-9) Matrix(361,-504,154,-215) -> Matrix(7,-2,4,-1) Matrix(433,-612,254,-359) -> Matrix(1,0,0,1) Matrix(1583,-2268,654,-937) -> Matrix(19,-6,92,-29) Matrix(647,-936,150,-217) -> Matrix(11,-4,36,-13) Matrix(73,-108,48,-71) -> Matrix(1,0,0,1) Matrix(1585,-2448,652,-1007) -> Matrix(1,0,0,1) Matrix(721,-1116,418,-647) -> Matrix(13,-4,36,-11) Matrix(1729,-2700,276,-431) -> Matrix(31,-10,28,-9) Matrix(863,-1368,364,-577) -> Matrix(5,-2,8,-3) Matrix(3169,-5112,1874,-3023) -> Matrix(5,-2,8,-3) Matrix(3457,-5580,1516,-2447) -> Matrix(9,-4,16,-7) Matrix(3025,-4896,1156,-1871) -> Matrix(9,-4,16,-7) Matrix(1153,-1908,478,-791) -> Matrix(1,0,4,1) Matrix(505,-864,294,-503) -> Matrix(25,-8,72,-23) Matrix(1151,-1980,168,-289) -> Matrix(17,-6,20,-7) Matrix(3241,-5580,1254,-2159) -> Matrix(73,-26,132,-47) Matrix(1583,-2808,650,-1153) -> Matrix(5,-2,8,-3) Matrix(1657,-2952,444,-791) -> Matrix(19,-8,12,-5) Matrix(5329,-9504,2018,-3599) -> Matrix(9,-4,16,-7) Matrix(361,-648,200,-359) -> Matrix(13,-6,24,-11) Matrix(719,-1332,156,-289) -> Matrix(5,-2,8,-3) Matrix(289,-540,38,-71) -> Matrix(1,0,0,1) Matrix(361,-792,98,-215) -> Matrix(5,-2,8,-3) Matrix(145,-324,64,-143) -> Matrix(9,-4,16,-7) Matrix(575,-1332,218,-505) -> Matrix(1,0,0,1) Matrix(5975,-14076,2476,-5833) -> Matrix(1,0,8,1) Matrix(289,-684,30,-71) -> Matrix(1,0,0,1) Matrix(361,-864,150,-359) -> Matrix(1,0,8,1) Matrix(21673,-52308,5966,-14399) -> Matrix(25,-4,44,-7) Matrix(7991,-20664,2200,-5689) -> Matrix(3,-2,8,-5) Matrix(431,-1116,56,-145) -> Matrix(7,-4,16,-9) Matrix(359,-936,28,-73) -> Matrix(3,-2,8,-5) Matrix(2593,-6768,772,-2015) -> Matrix(5,-4,24,-19) Matrix(145,-396,26,-71) -> Matrix(1,0,4,1) Matrix(1225,-3492,328,-935) -> Matrix(15,-4,4,-1) Matrix(145,-468,22,-71) -> Matrix(1,0,4,1) Matrix(719,-2412,172,-577) -> Matrix(9,-2,32,-7) Matrix(721,-2628,138,-503) -> Matrix(3,-2,20,-13) Matrix(73,-324,16,-71) -> Matrix(5,-2,8,-3) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 12 Minimal number of generators: 3 Number of equivalence classes of cusps: 4 Genus: 0 Degree of H/liftables -> H/(image of liftables): 48 Degree of the the map X: 96 Degree of the the map Y: 288 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 864 Minimal number of generators: 145 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 64 Genus: 41 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -8/1 -6/1 -16/3 -14/3 -9/2 -4/1 -15/4 -27/8 -10/3 -3/1 -12/5 -9/4 -24/11 -2/1 -9/5 -27/17 -3/2 -15/11 -9/7 -6/5 -9/8 0/1 1/1 6/5 9/7 15/11 18/13 3/2 54/35 18/11 9/5 2/1 24/11 9/4 12/5 5/2 18/7 108/41 36/13 3/1 54/17 36/11 10/3 7/2 18/5 11/3 108/29 15/4 72/19 4/1 17/4 13/3 9/2 14/3 5/1 16/3 11/2 17/3 6/1 13/2 7/1 8/1 9/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -8/1 0/1 -7/1 1/4 -13/2 0/1 1/6 -6/1 1/2 -11/2 0/1 1/4 -16/3 1/1 -37/7 1/0 -21/4 -1/1 0/1 -5/1 1/4 -14/3 1/2 -9/2 1/2 -22/5 1/2 -35/8 1/2 1/1 -13/3 3/4 -17/4 0/1 1/0 -4/1 0/1 -19/5 1/4 -15/4 0/1 1/3 -41/11 5/16 -26/7 1/2 -37/10 1/3 1/2 -11/3 3/8 -18/5 1/2 -7/2 1/2 1/1 -17/5 1/0 -27/8 1/0 -37/11 1/0 -10/3 -1/2 -13/4 0/1 1/10 -16/5 1/5 -3/1 1/2 -20/7 2/1 -37/13 1/0 -54/19 1/0 -17/6 -2/1 1/0 -14/5 -1/2 -11/4 0/1 1/8 -30/11 1/6 -19/7 1/4 -27/10 1/4 -8/3 1/3 -29/11 1/4 -50/19 5/14 -21/8 1/3 2/5 -55/21 3/8 -34/13 1/2 -13/5 5/12 -18/7 1/2 -5/2 1/2 1/1 -17/7 1/0 -12/5 0/1 -19/8 1/4 1/3 -7/3 1/4 -23/10 3/10 1/3 -16/7 2/5 -9/4 1/2 -20/9 2/3 -11/5 1/0 -35/16 1/2 1/1 -24/11 1/1 -13/6 0/1 1/2 -2/1 1/2 -13/7 3/4 -37/20 1/2 1/1 -24/13 1/1 -11/6 0/1 1/0 -9/5 1/2 -25/14 7/12 3/5 -16/9 2/3 -23/13 11/16 -7/4 1/2 1/1 -19/11 3/4 -12/7 1/1 -17/10 2/1 1/0 -22/13 1/2 -5/3 1/0 -18/11 1/2 -13/8 1/2 2/3 -34/21 1/2 -21/13 1/2 -71/44 1/2 2/3 -50/31 1/2 -79/49 13/20 -108/67 2/3 -29/18 2/3 7/10 -8/5 1/1 -35/22 1/2 1/1 -27/17 1/2 -19/12 3/4 1/1 -11/7 7/8 -36/23 1/1 -25/16 1/1 13/12 -14/9 3/2 -17/11 1/0 -3/2 0/1 1/1 -19/13 1/0 -54/37 1/2 -35/24 1/2 1/1 -16/11 1/1 -13/9 7/8 -36/25 1/1 -23/16 1/1 15/14 -10/7 3/2 -37/26 1/1 3/2 -27/19 3/2 -17/12 2/1 1/0 -7/5 1/0 -18/13 1/0 -11/8 0/1 1/0 -48/35 1/1 -37/27 1/0 -26/19 -1/2 -67/49 -1/8 -108/79 0/1 -41/30 0/1 1/6 -15/11 1/2 -34/25 1/2 -53/39 3/4 -72/53 1/1 -19/14 1/1 1/0 -4/3 1/1 -17/13 1/0 -30/23 3/2 -13/10 2/1 5/2 -9/7 1/0 -23/18 -1/1 -1/2 -60/47 0/1 -37/29 1/0 -51/40 -2/1 -1/1 -14/11 -1/2 -19/15 1/0 -5/4 1/2 1/1 -21/17 3/2 -37/30 1/1 3/2 -16/13 1/1 -11/9 7/4 -17/14 2/1 1/0 -6/5 1/0 -19/16 -1/1 1/0 -13/11 -1/4 -7/6 1/2 1/1 -8/7 2/1 -9/8 1/0 -1/1 1/0 0/1 0/1 1/1 1/4 8/7 2/7 7/6 1/3 1/2 13/11 1/8 6/5 1/4 11/9 7/24 16/13 1/3 37/30 3/10 1/3 21/17 3/10 5/4 1/3 1/2 14/11 1/6 9/7 1/4 22/17 5/18 35/27 1/4 13/10 5/18 2/7 17/13 1/4 4/3 1/3 19/14 1/4 1/3 15/11 1/2 41/30 -1/2 0/1 26/19 1/6 37/27 1/4 11/8 0/1 1/4 18/13 1/4 7/5 1/4 17/12 1/4 2/7 27/19 3/10 37/26 3/10 1/3 10/7 3/10 13/9 7/20 16/11 1/3 3/2 0/1 1/3 20/13 1/3 37/24 1/3 1/2 54/35 1/2 17/11 1/4 14/9 3/10 11/7 7/20 30/19 3/8 19/12 1/3 3/8 27/17 1/2 8/5 1/3 29/18 7/18 2/5 50/31 1/2 21/13 1/2 55/34 3/8 2/5 34/21 1/2 13/8 2/5 1/2 18/11 1/2 5/3 1/4 17/10 1/4 2/7 12/7 1/3 19/11 3/8 7/4 1/3 1/2 23/13 11/28 16/9 2/5 9/5 1/2 20/11 1/1 11/6 0/1 1/4 35/19 1/4 24/13 1/3 13/7 3/8 2/1 1/2 13/6 0/1 1/2 37/17 1/4 24/11 1/3 11/5 1/4 9/4 1/2 25/11 7/12 16/7 2/3 23/10 1/1 3/2 7/3 1/0 19/8 1/1 1/0 12/5 0/1 17/7 1/4 22/9 1/6 5/2 1/3 1/2 18/7 1/2 13/5 5/8 34/13 1/2 21/8 2/3 1/1 71/27 3/4 50/19 5/6 79/30 9/10 1/1 108/41 1/1 29/11 1/0 8/3 1/1 35/13 1/0 27/10 1/0 19/7 1/0 11/4 -1/4 0/1 36/13 0/1 25/9 1/16 14/5 1/6 17/6 2/9 1/4 3/1 1/2 19/6 3/1 1/0 54/17 1/0 35/11 1/0 16/5 -1/1 13/4 -1/6 0/1 36/11 0/1 23/7 1/16 10/3 1/6 37/11 1/4 27/8 1/4 17/5 1/4 7/2 1/3 1/2 18/5 1/2 11/3 3/4 48/13 1/1 37/10 1/2 1/1 26/7 1/2 67/18 9/10 1/1 108/29 1/1 41/11 5/4 15/4 0/1 1/1 34/9 1/2 53/14 3/4 1/1 72/19 1/1 19/5 1/0 4/1 0/1 17/4 0/1 1/4 30/7 1/4 13/3 3/8 9/2 1/2 23/5 1/0 60/13 1/1 37/8 1/2 1/1 51/11 1/2 14/3 1/2 19/4 -1/1 1/0 5/1 1/0 21/4 0/1 1/5 37/7 1/4 16/3 1/3 11/2 0/1 1/0 17/3 1/4 6/1 1/2 19/3 1/0 13/2 -1/2 0/1 7/1 1/0 8/1 0/1 9/1 1/2 1/0 0/1 1/2 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(35,288,-22,-181) (-8/1,1/0) -> (-8/5,-35/22) Hyperbolic Matrix(37,288,14,109) (-8/1,-7/1) -> (29/11,8/3) Hyperbolic Matrix(37,252,16,109) (-7/1,-13/2) -> (23/10,7/3) Hyperbolic Matrix(73,468,-56,-359) (-13/2,-6/1) -> (-30/23,-13/10) Hyperbolic Matrix(71,396,-26,-145) (-6/1,-11/2) -> (-11/4,-30/11) Hyperbolic Matrix(73,396,40,217) (-11/2,-16/3) -> (20/11,11/6) Hyperbolic Matrix(217,1152,68,361) (-16/3,-37/7) -> (35/11,16/5) Hyperbolic Matrix(431,2268,164,863) (-37/7,-21/4) -> (21/8,71/27) Hyperbolic Matrix(179,936,48,251) (-21/4,-5/1) -> (41/11,15/4) Hyperbolic Matrix(37,180,-22,-107) (-5/1,-14/3) -> (-22/13,-5/3) Hyperbolic Matrix(71,324,-16,-73) (-14/3,-9/2) -> (-9/2,-22/5) Parabolic Matrix(755,3312,-468,-2053) (-22/5,-35/8) -> (-71/44,-50/31) Hyperbolic Matrix(215,936,-116,-505) (-35/8,-13/3) -> (-13/7,-37/20) Hyperbolic Matrix(109,468,-92,-395) (-13/3,-17/4) -> (-19/16,-13/11) Hyperbolic Matrix(35,144,26,107) (-17/4,-4/1) -> (4/3,19/14) Hyperbolic Matrix(37,144,28,109) (-4/1,-19/5) -> (17/13,4/3) Hyperbolic Matrix(325,1224,-124,-467) (-19/5,-15/4) -> (-21/8,-55/21) Hyperbolic Matrix(251,936,48,179) (-15/4,-41/11) -> (5/1,21/4) Hyperbolic Matrix(755,2808,-552,-2053) (-41/11,-26/7) -> (-26/19,-67/49) Hyperbolic Matrix(359,1332,252,935) (-26/7,-37/10) -> (37/26,10/7) Hyperbolic Matrix(215,792,-98,-361) (-37/10,-11/3) -> (-11/5,-35/16) Hyperbolic Matrix(109,396,30,109) (-11/3,-18/5) -> (18/5,11/3) Hyperbolic Matrix(71,252,20,71) (-18/5,-7/2) -> (7/2,18/5) Hyperbolic Matrix(73,252,42,145) (-7/2,-17/5) -> (19/11,7/4) Hyperbolic Matrix(287,972,106,359) (-17/5,-27/8) -> (27/10,19/7) Hyperbolic Matrix(577,1944,214,721) (-27/8,-37/11) -> (35/13,27/10) Hyperbolic Matrix(397,1332,290,973) (-37/11,-10/3) -> (26/19,37/27) Hyperbolic Matrix(109,360,-76,-251) (-10/3,-13/4) -> (-23/16,-10/7) Hyperbolic Matrix(179,576,78,251) (-13/4,-16/5) -> (16/7,23/10) Hyperbolic Matrix(35,108,-12,-37) (-16/5,-3/1) -> (-3/1,-20/7) Parabolic Matrix(467,1332,88,251) (-20/7,-37/13) -> (37/7,16/3) Hyperbolic Matrix(1367,3888,430,1223) (-37/13,-54/19) -> (54/17,35/11) Hyperbolic Matrix(685,1944,216,613) (-54/19,-17/6) -> (19/6,54/17) Hyperbolic Matrix(179,504,38,107) (-17/6,-14/5) -> (14/3,19/4) Hyperbolic Matrix(181,504,-116,-323) (-14/5,-11/4) -> (-25/16,-14/9) Hyperbolic Matrix(397,1080,-304,-827) (-30/11,-19/7) -> (-17/13,-30/23) Hyperbolic Matrix(359,972,106,287) (-19/7,-27/10) -> (27/8,17/5) Hyperbolic Matrix(107,288,-94,-253) (-27/10,-8/3) -> (-8/7,-9/8) Hyperbolic Matrix(109,288,14,37) (-8/3,-29/11) -> (7/1,8/1) Hyperbolic Matrix(2051,5400,-1272,-3349) (-29/11,-50/19) -> (-50/31,-79/49) Hyperbolic Matrix(1081,2844,-848,-2231) (-50/19,-21/8) -> (-51/40,-14/11) Hyperbolic Matrix(1403,3672,-1032,-2701) (-55/21,-34/13) -> (-34/25,-53/39) Hyperbolic Matrix(179,468,96,251) (-34/13,-13/5) -> (13/7,2/1) Hyperbolic Matrix(181,468,70,181) (-13/5,-18/7) -> (18/7,13/5) Hyperbolic Matrix(71,180,28,71) (-18/7,-5/2) -> (5/2,18/7) Hyperbolic Matrix(73,180,-58,-143) (-5/2,-17/7) -> (-19/15,-5/4) Hyperbolic Matrix(179,432,104,251) (-17/7,-12/5) -> (12/7,19/11) Hyperbolic Matrix(181,432,106,253) (-12/5,-19/8) -> (17/10,12/7) Hyperbolic Matrix(107,252,76,179) (-19/8,-7/3) -> (7/5,17/12) Hyperbolic Matrix(109,252,16,37) (-7/3,-23/10) -> (13/2,7/1) Hyperbolic Matrix(251,576,78,179) (-23/10,-16/7) -> (16/5,13/4) Hyperbolic Matrix(143,324,-64,-145) (-16/7,-9/4) -> (-9/4,-20/9) Parabolic Matrix(179,396,146,323) (-20/9,-11/5) -> (11/9,16/13) Hyperbolic Matrix(1367,2988,296,647) (-35/16,-24/11) -> (60/13,37/8) Hyperbolic Matrix(613,1332,-480,-1043) (-24/11,-13/6) -> (-23/18,-60/47) Hyperbolic Matrix(217,468,134,289) (-13/6,-2/1) -> (34/21,13/8) Hyperbolic Matrix(251,468,96,179) (-2/1,-13/7) -> (13/5,34/13) Hyperbolic Matrix(1441,2664,390,721) (-37/20,-24/13) -> (48/13,37/10) Hyperbolic Matrix(431,792,-314,-577) (-24/13,-11/6) -> (-11/8,-48/35) Hyperbolic Matrix(179,324,-100,-181) (-11/6,-9/5) -> (-9/5,-25/14) Parabolic Matrix(323,576,60,107) (-25/14,-16/9) -> (16/3,11/2) Hyperbolic Matrix(325,576,224,397) (-16/9,-23/13) -> (13/9,16/11) Hyperbolic Matrix(143,252,122,215) (-23/13,-7/4) -> (7/6,13/11) Hyperbolic Matrix(145,252,42,73) (-7/4,-19/11) -> (17/5,7/2) Hyperbolic Matrix(251,432,104,179) (-19/11,-12/7) -> (12/5,17/7) Hyperbolic Matrix(253,432,106,181) (-12/7,-17/10) -> (19/8,12/5) Hyperbolic Matrix(361,612,128,217) (-17/10,-22/13) -> (14/5,17/6) Hyperbolic Matrix(109,180,66,109) (-5/3,-18/11) -> (18/11,5/3) Hyperbolic Matrix(287,468,176,287) (-18/11,-13/8) -> (13/8,18/11) Hyperbolic Matrix(289,468,134,217) (-13/8,-34/21) -> (2/1,13/6) Hyperbolic Matrix(757,1224,-556,-899) (-34/21,-21/13) -> (-15/11,-34/25) Hyperbolic Matrix(1405,2268,1138,1837) (-21/13,-71/44) -> (37/30,21/17) Hyperbolic Matrix(7235,11664,2746,4427) (-79/49,-108/67) -> (108/41,29/11) Hyperbolic Matrix(7237,11664,2748,4429) (-108/67,-29/18) -> (79/30,108/41) Hyperbolic Matrix(179,288,156,251) (-29/18,-8/5) -> (8/7,7/6) Hyperbolic Matrix(1223,1944,860,1367) (-35/22,-27/17) -> (27/19,37/26) Hyperbolic Matrix(613,972,432,685) (-27/17,-19/12) -> (17/12,27/19) Hyperbolic Matrix(251,396,-206,-325) (-19/12,-11/7) -> (-11/9,-17/14) Hyperbolic Matrix(827,1296,298,467) (-11/7,-36/23) -> (36/13,25/9) Hyperbolic Matrix(829,1296,300,469) (-36/23,-25/16) -> (11/4,36/13) Hyperbolic Matrix(395,612,162,251) (-14/9,-17/11) -> (17/7,22/9) Hyperbolic Matrix(71,108,-48,-73) (-17/11,-3/2) -> (-3/2,-19/13) Parabolic Matrix(1331,1944,862,1259) (-19/13,-54/37) -> (54/35,17/11) Hyperbolic Matrix(2665,3888,1728,2521) (-54/37,-35/24) -> (37/24,54/35) Hyperbolic Matrix(791,1152,642,935) (-35/24,-16/11) -> (16/13,37/30) Hyperbolic Matrix(397,576,224,325) (-16/11,-13/9) -> (23/13,16/9) Hyperbolic Matrix(899,1296,274,395) (-13/9,-36/25) -> (36/11,23/7) Hyperbolic Matrix(901,1296,276,397) (-36/25,-23/16) -> (13/4,36/11) Hyperbolic Matrix(935,1332,252,359) (-10/7,-37/26) -> (37/10,26/7) Hyperbolic Matrix(253,360,26,37) (-37/26,-27/19) -> (9/1,1/0) Hyperbolic Matrix(685,972,432,613) (-27/19,-17/12) -> (19/12,27/17) Hyperbolic Matrix(179,252,76,107) (-17/12,-7/5) -> (7/3,19/8) Hyperbolic Matrix(181,252,130,181) (-7/5,-18/13) -> (18/13,7/5) Hyperbolic Matrix(287,396,208,287) (-18/13,-11/8) -> (11/8,18/13) Hyperbolic Matrix(1943,2664,892,1223) (-48/35,-37/27) -> (37/17,24/11) Hyperbolic Matrix(973,1332,290,397) (-37/27,-26/19) -> (10/3,37/11) Hyperbolic Matrix(8531,11664,2290,3131) (-67/49,-108/79) -> (108/29,41/11) Hyperbolic Matrix(8533,11664,2292,3133) (-108/79,-41/30) -> (67/18,108/29) Hyperbolic Matrix(685,936,554,757) (-41/30,-15/11) -> (21/17,5/4) Hyperbolic Matrix(3815,5184,1006,1367) (-53/39,-72/53) -> (72/19,19/5) Hyperbolic Matrix(3817,5184,1008,1369) (-72/53,-19/14) -> (53/14,72/19) Hyperbolic Matrix(107,144,26,35) (-19/14,-4/3) -> (4/1,17/4) Hyperbolic Matrix(109,144,28,37) (-4/3,-17/13) -> (19/5,4/1) Hyperbolic Matrix(251,324,-196,-253) (-13/10,-9/7) -> (-9/7,-23/18) Parabolic Matrix(2341,2988,1270,1621) (-60/47,-37/29) -> (35/19,24/13) Hyperbolic Matrix(2089,2664,396,505) (-37/29,-51/40) -> (21/4,37/7) Hyperbolic Matrix(397,504,256,325) (-14/11,-19/15) -> (17/11,14/9) Hyperbolic Matrix(757,936,554,685) (-5/4,-21/17) -> (15/11,41/30) Hyperbolic Matrix(2159,2664,466,575) (-21/17,-37/30) -> (37/8,51/11) Hyperbolic Matrix(1081,1332,702,865) (-37/30,-16/13) -> (20/13,37/24) Hyperbolic Matrix(469,576,206,253) (-16/13,-11/9) -> (25/11,16/7) Hyperbolic Matrix(179,216,-150,-181) (-17/14,-6/5) -> (-6/5,-19/16) Parabolic Matrix(215,252,122,143) (-13/11,-7/6) -> (7/4,23/13) Hyperbolic Matrix(251,288,156,179) (-7/6,-8/7) -> (8/5,29/18) Hyperbolic Matrix(323,360,96,107) (-9/8,-1/1) -> (37/11,27/8) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(253,-288,94,-107) (1/1,8/7) -> (8/3,35/13) Hyperbolic Matrix(395,-468,92,-109) (13/11,6/5) -> (30/7,13/3) Hyperbolic Matrix(325,-396,206,-251) (6/5,11/9) -> (11/7,30/19) Hyperbolic Matrix(143,-180,58,-73) (5/4,14/11) -> (22/9,5/2) Hyperbolic Matrix(253,-324,196,-251) (14/11,9/7) -> (9/7,22/17) Parabolic Matrix(2557,-3312,972,-1259) (22/17,35/27) -> (71/27,50/19) Hyperbolic Matrix(721,-936,332,-431) (35/27,13/10) -> (13/6,37/17) Hyperbolic Matrix(359,-468,56,-73) (13/10,17/13) -> (19/3,13/2) Hyperbolic Matrix(899,-1224,556,-757) (19/14,15/11) -> (21/13,55/34) Hyperbolic Matrix(2053,-2808,552,-755) (41/30,26/19) -> (26/7,67/18) Hyperbolic Matrix(577,-792,314,-431) (37/27,11/8) -> (11/6,35/19) Hyperbolic Matrix(251,-360,76,-109) (10/7,13/9) -> (23/7,10/3) Hyperbolic Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(323,-504,116,-181) (14/9,11/7) -> (25/9,14/5) Hyperbolic Matrix(683,-1080,160,-253) (30/19,19/12) -> (17/4,30/7) Hyperbolic Matrix(181,-288,22,-35) (27/17,8/5) -> (8/1,9/1) Hyperbolic Matrix(3349,-5400,1272,-2051) (29/18,50/31) -> (50/19,79/30) Hyperbolic Matrix(1763,-2844,380,-613) (50/31,21/13) -> (51/11,14/3) Hyperbolic Matrix(2269,-3672,600,-971) (55/34,34/21) -> (34/9,53/14) Hyperbolic Matrix(107,-180,22,-37) (5/3,17/10) -> (19/4,5/1) Hyperbolic Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(719,-1332,156,-289) (24/13,13/7) -> (23/5,60/13) Hyperbolic Matrix(361,-792,98,-215) (24/11,11/5) -> (11/3,48/13) Hyperbolic Matrix(145,-324,64,-143) (11/5,9/4) -> (9/4,25/11) Parabolic Matrix(467,-1224,124,-325) (34/13,21/8) -> (15/4,34/9) Hyperbolic Matrix(145,-396,26,-71) (19/7,11/4) -> (11/2,17/3) Hyperbolic Matrix(37,-108,12,-35) (17/6,3/1) -> (3/1,19/6) Parabolic Matrix(73,-324,16,-71) (13/3,9/2) -> (9/2,23/5) Parabolic Matrix(37,-216,6,-35) (17/3,6/1) -> (6/1,19/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(35,288,-22,-181) -> Matrix(3,-1,4,-1) Matrix(37,288,14,109) -> Matrix(3,-1,4,-1) Matrix(37,252,16,109) -> Matrix(3,-1,4,-1) Matrix(73,468,-56,-359) -> Matrix(7,-2,4,-1) Matrix(71,396,-26,-145) -> Matrix(1,0,4,1) Matrix(73,396,40,217) -> Matrix(1,0,0,1) Matrix(217,1152,68,361) -> Matrix(1,-2,0,1) Matrix(431,2268,164,863) -> Matrix(3,2,4,3) Matrix(179,936,48,251) -> Matrix(1,1,0,1) Matrix(37,180,-22,-107) -> Matrix(3,-1,4,-1) Matrix(71,324,-16,-73) -> Matrix(5,-2,8,-3) Matrix(755,3312,-468,-2053) -> Matrix(3,-1,4,-1) Matrix(215,936,-116,-505) -> Matrix(1,0,0,1) Matrix(109,468,-92,-395) -> Matrix(1,-1,0,1) Matrix(35,144,26,107) -> Matrix(1,-1,4,-3) Matrix(37,144,28,109) -> Matrix(5,-1,16,-3) Matrix(325,1224,-124,-467) -> Matrix(1,-1,4,-3) Matrix(251,936,48,179) -> Matrix(3,-1,16,-5) Matrix(755,2808,-552,-2053) -> Matrix(3,-1,-8,3) Matrix(359,1332,252,935) -> Matrix(11,-4,36,-13) Matrix(215,792,-98,-361) -> Matrix(5,-2,8,-3) Matrix(109,396,30,109) -> Matrix(7,-3,12,-5) Matrix(71,252,20,71) -> Matrix(3,-2,8,-5) Matrix(73,252,42,145) -> Matrix(3,-2,8,-5) Matrix(287,972,106,359) -> Matrix(1,-2,0,1) Matrix(577,1944,214,721) -> Matrix(1,4,0,1) Matrix(397,1332,290,973) -> Matrix(1,1,4,5) Matrix(109,360,-76,-251) -> Matrix(5,1,4,1) Matrix(179,576,78,251) -> Matrix(7,-1,8,-1) Matrix(35,108,-12,-37) -> Matrix(3,-1,4,-1) Matrix(467,1332,88,251) -> Matrix(1,-3,4,-11) Matrix(1367,3888,430,1223) -> Matrix(1,-10,0,1) Matrix(685,1944,216,613) -> Matrix(1,5,0,1) Matrix(179,504,38,107) -> Matrix(1,1,0,1) Matrix(181,504,-116,-323) -> Matrix(5,1,4,1) Matrix(397,1080,-304,-827) -> Matrix(3,-1,4,-1) Matrix(359,972,106,287) -> Matrix(9,-2,32,-7) Matrix(107,288,-94,-253) -> Matrix(11,-3,4,-1) Matrix(109,288,14,37) -> Matrix(3,-1,4,-1) Matrix(2051,5400,-1272,-3349) -> Matrix(31,-11,48,-17) Matrix(1081,2844,-848,-2231) -> Matrix(11,-4,-8,3) Matrix(1403,3672,-1032,-2701) -> Matrix(7,-3,12,-5) Matrix(179,468,96,251) -> Matrix(3,-1,4,-1) Matrix(181,468,70,181) -> Matrix(11,-5,20,-9) Matrix(71,180,28,71) -> Matrix(3,-2,8,-5) Matrix(73,180,-58,-143) -> Matrix(1,0,0,1) Matrix(179,432,104,251) -> Matrix(3,1,8,3) Matrix(181,432,106,253) -> Matrix(5,-1,16,-3) Matrix(107,252,76,179) -> Matrix(5,-1,16,-3) Matrix(109,252,16,37) -> Matrix(3,-1,4,-1) Matrix(251,576,78,179) -> Matrix(3,-1,-8,3) Matrix(143,324,-64,-145) -> Matrix(9,-4,16,-7) Matrix(179,396,146,323) -> Matrix(7,-5,24,-17) Matrix(1367,2988,296,647) -> Matrix(1,0,0,1) Matrix(613,1332,-480,-1043) -> Matrix(1,-1,0,1) Matrix(217,468,134,289) -> Matrix(3,-2,8,-5) Matrix(251,468,96,179) -> Matrix(3,-1,4,-1) Matrix(1441,2664,390,721) -> Matrix(1,0,0,1) Matrix(431,792,-314,-577) -> Matrix(1,0,0,1) Matrix(179,324,-100,-181) -> Matrix(7,-3,12,-5) Matrix(323,576,60,107) -> Matrix(5,-3,12,-7) Matrix(325,576,224,397) -> Matrix(5,-3,12,-7) Matrix(143,252,122,215) -> Matrix(3,-2,8,-5) Matrix(145,252,42,73) -> Matrix(3,-2,8,-5) Matrix(251,432,104,179) -> Matrix(1,-1,8,-7) Matrix(253,432,106,181) -> Matrix(1,-1,0,1) Matrix(361,612,128,217) -> Matrix(1,0,4,1) Matrix(109,180,66,109) -> Matrix(1,-1,4,-3) Matrix(287,468,176,287) -> Matrix(7,-4,16,-9) Matrix(289,468,134,217) -> Matrix(3,-2,8,-5) Matrix(757,1224,-556,-899) -> Matrix(1,-1,4,-3) Matrix(1405,2268,1138,1837) -> Matrix(7,-5,24,-17) Matrix(7235,11664,2746,4427) -> Matrix(23,-15,20,-13) Matrix(7237,11664,2748,4429) -> Matrix(37,-25,40,-27) Matrix(179,288,156,251) -> Matrix(7,-5,24,-17) Matrix(1223,1944,860,1367) -> Matrix(1,-2,4,-7) Matrix(613,972,432,685) -> Matrix(7,-5,24,-17) Matrix(251,396,-206,-325) -> Matrix(9,-7,4,-3) Matrix(827,1296,298,467) -> Matrix(1,-1,24,-23) Matrix(829,1296,300,469) -> Matrix(1,-1,-16,17) Matrix(395,612,162,251) -> Matrix(1,-1,4,-3) Matrix(71,108,-48,-73) -> Matrix(1,0,0,1) Matrix(1331,1944,862,1259) -> Matrix(1,-1,4,-3) Matrix(2665,3888,1728,2521) -> Matrix(3,-2,8,-5) Matrix(791,1152,642,935) -> Matrix(1,-2,4,-7) Matrix(397,576,224,325) -> Matrix(5,-3,12,-7) Matrix(899,1296,274,395) -> Matrix(1,-1,24,-23) Matrix(901,1296,276,397) -> Matrix(1,-1,-20,21) Matrix(935,1332,252,359) -> Matrix(3,-4,4,-5) Matrix(253,360,26,37) -> Matrix(1,-1,0,1) Matrix(685,972,432,613) -> Matrix(3,-5,8,-13) Matrix(179,252,76,107) -> Matrix(1,-1,0,1) Matrix(181,252,130,181) -> Matrix(1,-3,4,-11) Matrix(287,396,208,287) -> Matrix(1,0,4,1) Matrix(1943,2664,892,1223) -> Matrix(1,-2,4,-7) Matrix(973,1332,290,397) -> Matrix(1,1,4,5) Matrix(8531,11664,2290,3131) -> Matrix(13,1,12,1) Matrix(8533,11664,2292,3133) -> Matrix(15,-1,16,-1) Matrix(685,936,554,757) -> Matrix(5,-1,16,-3) Matrix(3815,5184,1006,1367) -> Matrix(5,-4,4,-3) Matrix(3817,5184,1008,1369) -> Matrix(3,-4,4,-5) Matrix(107,144,26,35) -> Matrix(1,-1,4,-3) Matrix(109,144,28,37) -> Matrix(1,-1,0,1) Matrix(251,324,-196,-253) -> Matrix(1,-3,0,1) Matrix(2341,2988,1270,1621) -> Matrix(1,-1,4,-3) Matrix(2089,2664,396,505) -> Matrix(1,2,4,9) Matrix(397,504,256,325) -> Matrix(1,-1,4,-3) Matrix(757,936,554,685) -> Matrix(1,-1,0,1) Matrix(2159,2664,466,575) -> Matrix(3,-4,4,-5) Matrix(1081,1332,702,865) -> Matrix(1,-2,4,-7) Matrix(469,576,206,253) -> Matrix(5,-7,8,-11) Matrix(179,216,-150,-181) -> Matrix(1,-3,0,1) Matrix(215,252,122,143) -> Matrix(3,-2,8,-5) Matrix(251,288,156,179) -> Matrix(3,-5,8,-13) Matrix(323,360,96,107) -> Matrix(1,1,4,5) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(253,-288,94,-107) -> Matrix(11,-3,4,-1) Matrix(395,-468,92,-109) -> Matrix(5,-1,16,-3) Matrix(325,-396,206,-251) -> Matrix(25,-7,68,-19) Matrix(143,-180,58,-73) -> Matrix(1,0,0,1) Matrix(253,-324,196,-251) -> Matrix(13,-3,48,-11) Matrix(2557,-3312,972,-1259) -> Matrix(17,-5,24,-7) Matrix(721,-936,332,-431) -> Matrix(7,-2,32,-9) Matrix(359,-468,56,-73) -> Matrix(7,-2,4,-1) Matrix(899,-1224,556,-757) -> Matrix(1,-1,4,-3) Matrix(2053,-2808,552,-755) -> Matrix(7,-1,8,-1) Matrix(577,-792,314,-431) -> Matrix(1,0,0,1) Matrix(251,-360,76,-109) -> Matrix(3,-1,28,-9) Matrix(73,-108,48,-71) -> Matrix(1,0,0,1) Matrix(323,-504,116,-181) -> Matrix(3,-1,28,-9) Matrix(683,-1080,160,-253) -> Matrix(3,-1,4,-1) Matrix(181,-288,22,-35) -> Matrix(3,-1,4,-1) Matrix(3349,-5400,1272,-2051) -> Matrix(27,-11,32,-13) Matrix(1763,-2844,380,-613) -> Matrix(7,-3,12,-5) Matrix(2269,-3672,600,-971) -> Matrix(7,-3,12,-5) Matrix(107,-180,22,-37) -> Matrix(3,-1,4,-1) Matrix(181,-324,100,-179) -> Matrix(7,-3,12,-5) Matrix(719,-1332,156,-289) -> Matrix(5,-2,8,-3) Matrix(361,-792,98,-215) -> Matrix(5,-2,8,-3) Matrix(145,-324,64,-143) -> Matrix(9,-4,16,-7) Matrix(467,-1224,124,-325) -> Matrix(1,-1,4,-3) Matrix(145,-396,26,-71) -> Matrix(1,0,4,1) Matrix(37,-108,12,-35) -> Matrix(3,-1,4,-1) Matrix(73,-324,16,-71) -> Matrix(5,-2,8,-3) Matrix(37,-216,6,-35) -> Matrix(3,-1,4,-1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of 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): 48 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 0/1 2 1 1/1 1/4 1 36 8/7 2/7 2 9 7/6 (1/3,1/2) 0 36 13/11 1/8 1 36 6/5 1/4 3 6 11/9 7/24 1 36 16/13 1/3 2 9 37/30 (3/10,1/3) 0 36 21/17 3/10 1 12 5/4 (1/3,1/2) 0 36 14/11 1/6 1 18 9/7 1/4 3 4 22/17 5/18 1 18 35/27 1/4 1 36 13/10 (5/18,2/7) 0 36 17/13 1/4 1 36 4/3 1/3 2 9 19/14 (1/4,1/3) 0 36 15/11 1/2 1 12 41/30 (-1/2,0/1) 0 36 26/19 1/6 1 18 37/27 1/4 1 36 11/8 (0/1,1/4) 0 36 18/13 1/4 3 2 7/5 1/4 1 36 17/12 (1/4,2/7) 0 36 27/19 3/10 1 4 37/26 (3/10,1/3) 0 36 10/7 3/10 1 18 13/9 7/20 1 36 16/11 1/3 2 9 3/2 0 12 20/13 1/3 2 9 37/24 (1/3,1/2) 0 36 54/35 1/2 1 2 17/11 1/4 1 36 14/9 3/10 1 18 11/7 7/20 1 36 30/19 3/8 3 6 19/12 (1/3,3/8) 0 36 27/17 1/2 1 4 8/5 1/3 2 9 29/18 (7/18,2/5) 0 36 50/31 1/2 1 18 21/13 1/2 1 12 55/34 (3/8,2/5) 0 36 34/21 1/2 1 18 13/8 (2/5,1/2) 0 36 18/11 1/2 3 2 5/3 1/4 1 36 17/10 (1/4,2/7) 0 36 12/7 1/3 4 3 19/11 3/8 1 36 7/4 (1/3,1/2) 0 36 23/13 11/28 1 36 16/9 2/5 2 9 9/5 1/2 3 4 20/11 1/1 2 9 11/6 (0/1,1/4) 0 36 35/19 1/4 1 36 24/13 1/3 2 3 13/7 3/8 1 36 2/1 1/2 1 18 13/6 (0/1,1/2) 0 36 37/17 1/4 1 36 24/11 1/3 2 3 11/5 1/4 1 36 9/4 1/2 4 4 25/11 7/12 1 36 16/7 2/3 2 9 23/10 (1/1,3/2) 0 36 7/3 1/0 1 36 19/8 (1/1,1/0) 0 36 12/5 0/1 4 3 17/7 1/4 1 36 22/9 1/6 1 18 5/2 (1/3,1/2) 0 36 18/7 1/2 7 2 13/5 5/8 1 36 34/13 1/2 1 18 21/8 0 12 71/27 3/4 1 36 50/19 5/6 1 18 79/30 (9/10,1/1) 0 36 108/41 1/1 10 1 29/11 1/0 1 36 8/3 1/1 2 9 35/13 1/0 1 36 27/10 1/0 6 4 19/7 1/0 1 36 11/4 (-1/4,0/1) 0 36 36/13 0/1 20 1 25/9 1/16 1 36 14/5 1/6 1 18 17/6 (2/9,1/4) 0 36 3/1 1/2 1 12 19/6 (3/1,1/0) 0 36 54/17 1/0 15 2 35/11 1/0 1 36 16/5 -1/1 2 9 13/4 (-1/6,0/1) 0 36 36/11 0/1 22 1 23/7 1/16 1 36 10/3 1/6 1 18 37/11 1/4 1 36 27/8 1/4 6 4 17/5 1/4 1 36 7/2 (1/3,1/2) 0 36 18/5 1/2 5 2 11/3 3/4 1 36 48/13 1/1 2 3 37/10 (1/2,1/1) 0 36 26/7 1/2 1 18 67/18 (9/10,1/1) 0 36 108/29 1/1 14 1 41/11 5/4 1 36 15/4 0 12 34/9 1/2 1 18 53/14 (3/4,1/1) 0 36 72/19 1/1 4 1 19/5 1/0 1 36 4/1 0/1 2 9 17/4 (0/1,1/4) 0 36 30/7 1/4 3 6 13/3 3/8 1 36 9/2 1/2 2 4 23/5 1/0 1 36 60/13 1/1 2 3 37/8 (1/2,1/1) 0 36 51/11 1/2 1 12 14/3 1/2 1 18 19/4 (-1/1,1/0) 0 36 5/1 1/0 1 36 21/4 0 12 37/7 1/4 1 36 16/3 1/3 2 9 11/2 (0/1,1/0) 0 36 17/3 1/4 1 36 6/1 1/2 1 6 19/3 1/0 1 36 13/2 (-1/2,0/1) 0 36 7/1 1/0 1 36 8/1 0/1 2 9 9/1 1/2 1 4 1/0 (0/1,1/2) 0 36 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(1,0,2,-1) (0/1,1/1) -> (0/1,1/1) Reflection Matrix(253,-288,94,-107) (1/1,8/7) -> (8/3,35/13) Hyperbolic Matrix(251,-288,156,-179) (8/7,7/6) -> (8/5,29/18) Glide Reflection Matrix(215,-252,122,-143) (7/6,13/11) -> (7/4,23/13) Glide Reflection Matrix(395,-468,92,-109) (13/11,6/5) -> (30/7,13/3) Hyperbolic Matrix(325,-396,206,-251) (6/5,11/9) -> (11/7,30/19) Hyperbolic Matrix(469,-576,206,-253) (11/9,16/13) -> (25/11,16/7) Glide Reflection Matrix(1081,-1332,702,-865) (16/13,37/30) -> (20/13,37/24) Glide Reflection Matrix(2159,-2664,466,-575) (37/30,21/17) -> (37/8,51/11) Glide Reflection Matrix(757,-936,554,-685) (21/17,5/4) -> (15/11,41/30) Glide Reflection Matrix(143,-180,58,-73) (5/4,14/11) -> (22/9,5/2) Hyperbolic Matrix(253,-324,196,-251) (14/11,9/7) -> (9/7,22/17) Parabolic Matrix(2557,-3312,972,-1259) (22/17,35/27) -> (71/27,50/19) Hyperbolic Matrix(721,-936,332,-431) (35/27,13/10) -> (13/6,37/17) Hyperbolic Matrix(359,-468,56,-73) (13/10,17/13) -> (19/3,13/2) Hyperbolic Matrix(109,-144,28,-37) (17/13,4/3) -> (19/5,4/1) Glide Reflection Matrix(107,-144,26,-35) (4/3,19/14) -> (4/1,17/4) Glide Reflection Matrix(899,-1224,556,-757) (19/14,15/11) -> (21/13,55/34) Hyperbolic Matrix(2053,-2808,552,-755) (41/30,26/19) -> (26/7,67/18) Hyperbolic Matrix(973,-1332,290,-397) (26/19,37/27) -> (10/3,37/11) Glide Reflection Matrix(577,-792,314,-431) (37/27,11/8) -> (11/6,35/19) Hyperbolic Matrix(287,-396,208,-287) (11/8,18/13) -> (11/8,18/13) Reflection Matrix(181,-252,130,-181) (18/13,7/5) -> (18/13,7/5) Reflection Matrix(179,-252,76,-107) (7/5,17/12) -> (7/3,19/8) Glide Reflection Matrix(685,-972,432,-613) (17/12,27/19) -> (19/12,27/17) Glide Reflection Matrix(253,-360,26,-37) (27/19,37/26) -> (9/1,1/0) Glide Reflection Matrix(935,-1332,252,-359) (37/26,10/7) -> (37/10,26/7) Glide Reflection Matrix(251,-360,76,-109) (10/7,13/9) -> (23/7,10/3) Hyperbolic Matrix(397,-576,224,-325) (13/9,16/11) -> (23/13,16/9) Glide Reflection Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(2591,-3996,1680,-2591) (37/24,54/35) -> (37/24,54/35) Reflection Matrix(1189,-1836,770,-1189) (54/35,17/11) -> (54/35,17/11) Reflection Matrix(395,-612,162,-251) (17/11,14/9) -> (17/7,22/9) Glide Reflection Matrix(323,-504,116,-181) (14/9,11/7) -> (25/9,14/5) Hyperbolic Matrix(683,-1080,160,-253) (30/19,19/12) -> (17/4,30/7) Hyperbolic Matrix(181,-288,22,-35) (27/17,8/5) -> (8/1,9/1) Hyperbolic Matrix(3349,-5400,1272,-2051) (29/18,50/31) -> (50/19,79/30) Hyperbolic Matrix(1763,-2844,380,-613) (50/31,21/13) -> (51/11,14/3) Hyperbolic Matrix(2269,-3672,600,-971) (55/34,34/21) -> (34/9,53/14) Hyperbolic Matrix(289,-468,134,-217) (34/21,13/8) -> (2/1,13/6) Glide Reflection Matrix(287,-468,176,-287) (13/8,18/11) -> (13/8,18/11) Reflection Matrix(109,-180,66,-109) (18/11,5/3) -> (18/11,5/3) Reflection Matrix(107,-180,22,-37) (5/3,17/10) -> (19/4,5/1) Hyperbolic Matrix(253,-432,106,-181) (17/10,12/7) -> (19/8,12/5) Glide Reflection Matrix(251,-432,104,-179) (12/7,19/11) -> (12/5,17/7) Glide Reflection Matrix(145,-252,42,-73) (19/11,7/4) -> (17/5,7/2) Glide Reflection Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(217,-396,40,-73) (20/11,11/6) -> (16/3,11/2) Glide Reflection Matrix(937,-1728,430,-793) (35/19,24/13) -> (37/17,24/11) Glide Reflection Matrix(719,-1332,156,-289) (24/13,13/7) -> (23/5,60/13) Hyperbolic Matrix(251,-468,96,-179) (13/7,2/1) -> (13/5,34/13) Glide Reflection Matrix(361,-792,98,-215) (24/11,11/5) -> (11/3,48/13) Hyperbolic Matrix(145,-324,64,-143) (11/5,9/4) -> (9/4,25/11) Parabolic Matrix(251,-576,78,-179) (16/7,23/10) -> (16/5,13/4) Glide Reflection Matrix(109,-252,16,-37) (23/10,7/3) -> (13/2,7/1) Glide Reflection Matrix(71,-180,28,-71) (5/2,18/7) -> (5/2,18/7) Reflection Matrix(181,-468,70,-181) (18/7,13/5) -> (18/7,13/5) Reflection Matrix(467,-1224,124,-325) (34/13,21/8) -> (15/4,34/9) Hyperbolic Matrix(863,-2268,164,-431) (21/8,71/27) -> (21/4,37/7) Glide Reflection Matrix(6479,-17064,2460,-6479) (79/30,108/41) -> (79/30,108/41) Reflection Matrix(2377,-6264,902,-2377) (108/41,29/11) -> (108/41,29/11) Reflection Matrix(109,-288,14,-37) (29/11,8/3) -> (7/1,8/1) Glide Reflection Matrix(721,-1944,214,-577) (35/13,27/10) -> (37/11,27/8) Glide Reflection Matrix(359,-972,106,-287) (27/10,19/7) -> (27/8,17/5) Glide Reflection Matrix(145,-396,26,-71) (19/7,11/4) -> (11/2,17/3) Hyperbolic Matrix(287,-792,104,-287) (11/4,36/13) -> (11/4,36/13) Reflection Matrix(649,-1800,234,-649) (36/13,25/9) -> (36/13,25/9) Reflection Matrix(179,-504,38,-107) (14/5,17/6) -> (14/3,19/4) Glide Reflection Matrix(37,-108,12,-35) (17/6,3/1) -> (3/1,19/6) Parabolic Matrix(647,-2052,204,-647) (19/6,54/17) -> (19/6,54/17) Reflection Matrix(1189,-3780,374,-1189) (54/17,35/11) -> (54/17,35/11) Reflection Matrix(361,-1152,68,-217) (35/11,16/5) -> (37/7,16/3) Glide Reflection Matrix(287,-936,88,-287) (13/4,36/11) -> (13/4,36/11) Reflection Matrix(505,-1656,154,-505) (36/11,23/7) -> (36/11,23/7) Reflection Matrix(71,-252,20,-71) (7/2,18/5) -> (7/2,18/5) Reflection Matrix(109,-396,30,-109) (18/5,11/3) -> (18/5,11/3) Reflection Matrix(1081,-3996,234,-865) (48/13,37/10) -> (60/13,37/8) Glide Reflection Matrix(3887,-14472,1044,-3887) (67/18,108/29) -> (67/18,108/29) Reflection Matrix(2377,-8856,638,-2377) (108/29,41/11) -> (108/29,41/11) Reflection Matrix(251,-936,48,-179) (41/11,15/4) -> (5/1,21/4) Glide Reflection Matrix(2015,-7632,532,-2015) (53/14,72/19) -> (53/14,72/19) Reflection Matrix(721,-2736,190,-721) (72/19,19/5) -> (72/19,19/5) Reflection Matrix(73,-324,16,-71) (13/3,9/2) -> (9/2,23/5) Parabolic Matrix(37,-216,6,-35) (17/3,6/1) -> (6/1,19/3) Parabolic IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,0,4,-1) (0/1,1/0) -> (0/1,1/2) Matrix(1,0,2,-1) -> Matrix(1,0,8,-1) (0/1,1/1) -> (0/1,1/4) Matrix(253,-288,94,-107) -> Matrix(11,-3,4,-1) Matrix(251,-288,156,-179) -> Matrix(17,-5,44,-13) Matrix(215,-252,122,-143) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(395,-468,92,-109) -> Matrix(5,-1,16,-3) 1/4 Matrix(325,-396,206,-251) -> Matrix(25,-7,68,-19) Matrix(469,-576,206,-253) -> Matrix(23,-7,36,-11) Matrix(1081,-1332,702,-865) -> Matrix(7,-2,24,-7) *** -> (1/4,1/3) Matrix(2159,-2664,466,-575) -> Matrix(13,-4,16,-5) Matrix(757,-936,554,-685) -> Matrix(3,-1,-4,1) Matrix(143,-180,58,-73) -> Matrix(1,0,0,1) Matrix(253,-324,196,-251) -> Matrix(13,-3,48,-11) 1/4 Matrix(2557,-3312,972,-1259) -> Matrix(17,-5,24,-7) Matrix(721,-936,332,-431) -> Matrix(7,-2,32,-9) 1/4 Matrix(359,-468,56,-73) -> Matrix(7,-2,4,-1) Matrix(109,-144,28,-37) -> Matrix(3,-1,-4,1) Matrix(107,-144,26,-35) -> Matrix(3,-1,8,-3) *** -> (1/4,1/2) Matrix(899,-1224,556,-757) -> Matrix(1,-1,4,-3) 1/2 Matrix(2053,-2808,552,-755) -> Matrix(7,-1,8,-1) Matrix(973,-1332,290,-397) -> Matrix(5,-1,24,-5) *** -> (1/6,1/4) Matrix(577,-792,314,-431) -> Matrix(1,0,0,1) Matrix(287,-396,208,-287) -> Matrix(1,0,8,-1) (11/8,18/13) -> (0/1,1/4) Matrix(181,-252,130,-181) -> Matrix(11,-3,40,-11) (18/13,7/5) -> (1/4,3/10) Matrix(179,-252,76,-107) -> Matrix(3,-1,-4,1) Matrix(685,-972,432,-613) -> Matrix(17,-5,44,-13) Matrix(253,-360,26,-37) -> Matrix(3,-1,-4,1) Matrix(935,-1332,252,-359) -> Matrix(13,-4,16,-5) Matrix(251,-360,76,-109) -> Matrix(3,-1,28,-9) Matrix(397,-576,224,-325) -> Matrix(7,-3,16,-7) *** -> (3/8,1/2) Matrix(73,-108,48,-71) -> Matrix(1,0,0,1) Matrix(2591,-3996,1680,-2591) -> Matrix(5,-2,12,-5) (37/24,54/35) -> (1/3,1/2) Matrix(1189,-1836,770,-1189) -> Matrix(3,-1,8,-3) (54/35,17/11) -> (1/4,1/2) Matrix(395,-612,162,-251) -> Matrix(3,-1,8,-3) *** -> (1/4,1/2) Matrix(323,-504,116,-181) -> Matrix(3,-1,28,-9) Matrix(683,-1080,160,-253) -> Matrix(3,-1,4,-1) 1/2 Matrix(181,-288,22,-35) -> Matrix(3,-1,4,-1) 1/2 Matrix(3349,-5400,1272,-2051) -> Matrix(27,-11,32,-13) Matrix(1763,-2844,380,-613) -> Matrix(7,-3,12,-5) 1/2 Matrix(2269,-3672,600,-971) -> Matrix(7,-3,12,-5) 1/2 Matrix(289,-468,134,-217) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(287,-468,176,-287) -> Matrix(9,-4,20,-9) (13/8,18/11) -> (2/5,1/2) Matrix(109,-180,66,-109) -> Matrix(3,-1,8,-3) (18/11,5/3) -> (1/4,1/2) Matrix(107,-180,22,-37) -> Matrix(3,-1,4,-1) 1/2 Matrix(253,-432,106,-181) -> Matrix(3,-1,-4,1) Matrix(251,-432,104,-179) -> Matrix(3,-1,20,-7) Matrix(145,-252,42,-73) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(181,-324,100,-179) -> Matrix(7,-3,12,-5) 1/2 Matrix(217,-396,40,-73) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(937,-1728,430,-793) -> Matrix(7,-2,24,-7) *** -> (1/4,1/3) Matrix(719,-1332,156,-289) -> Matrix(5,-2,8,-3) 1/2 Matrix(251,-468,96,-179) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(361,-792,98,-215) -> Matrix(5,-2,8,-3) 1/2 Matrix(145,-324,64,-143) -> Matrix(9,-4,16,-7) 1/2 Matrix(251,-576,78,-179) -> Matrix(1,-1,-4,3) Matrix(109,-252,16,-37) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(71,-180,28,-71) -> Matrix(5,-2,12,-5) (5/2,18/7) -> (1/3,1/2) Matrix(181,-468,70,-181) -> Matrix(9,-5,16,-9) (18/7,13/5) -> (1/2,5/8) Matrix(467,-1224,124,-325) -> Matrix(1,-1,4,-3) 1/2 Matrix(863,-2268,164,-431) -> Matrix(3,-2,16,-11) Matrix(6479,-17064,2460,-6479) -> Matrix(19,-18,20,-19) (79/30,108/41) -> (9/10,1/1) Matrix(2377,-6264,902,-2377) -> Matrix(-1,2,0,1) (108/41,29/11) -> (1/1,1/0) Matrix(109,-288,14,-37) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(721,-1944,214,-577) -> Matrix(1,-4,4,-17) Matrix(359,-972,106,-287) -> Matrix(1,2,4,7) Matrix(145,-396,26,-71) -> Matrix(1,0,4,1) 0/1 Matrix(287,-792,104,-287) -> Matrix(-1,0,8,1) (11/4,36/13) -> (-1/4,0/1) Matrix(649,-1800,234,-649) -> Matrix(1,0,32,-1) (36/13,25/9) -> (0/1,1/16) Matrix(179,-504,38,-107) -> Matrix(5,-1,4,-1) Matrix(37,-108,12,-35) -> Matrix(3,-1,4,-1) 1/2 Matrix(647,-2052,204,-647) -> Matrix(-1,6,0,1) (19/6,54/17) -> (3/1,1/0) Matrix(1189,-3780,374,-1189) -> Matrix(1,9,0,-1) (54/17,35/11) -> (-9/2,1/0) Matrix(361,-1152,68,-217) -> Matrix(1,2,4,7) Matrix(287,-936,88,-287) -> Matrix(-1,0,12,1) (13/4,36/11) -> (-1/6,0/1) Matrix(505,-1656,154,-505) -> Matrix(1,0,32,-1) (36/11,23/7) -> (0/1,1/16) Matrix(71,-252,20,-71) -> Matrix(5,-2,12,-5) (7/2,18/5) -> (1/3,1/2) Matrix(109,-396,30,-109) -> Matrix(5,-3,8,-5) (18/5,11/3) -> (1/2,3/4) Matrix(1081,-3996,234,-865) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(3887,-14472,1044,-3887) -> Matrix(19,-18,20,-19) (67/18,108/29) -> (9/10,1/1) Matrix(2377,-8856,638,-2377) -> Matrix(9,-10,8,-9) (108/29,41/11) -> (1/1,5/4) Matrix(251,-936,48,-179) -> Matrix(1,-1,4,-5) Matrix(2015,-7632,532,-2015) -> Matrix(7,-6,8,-7) (53/14,72/19) -> (3/4,1/1) Matrix(721,-2736,190,-721) -> Matrix(-1,2,0,1) (72/19,19/5) -> (1/1,1/0) Matrix(73,-324,16,-71) -> Matrix(5,-2,8,-3) 1/2 Matrix(37,-216,6,-35) -> Matrix(3,-1,4,-1) 1/2 ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.