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 -1/1 -8/17 -5/11 -7/16 -2/5 -5/14 -1/3 -4/13 -5/17 -1/4 -1/5 -2/11 -1/7 -4/31 0/1 1/8 1/5 2/7 1/3 4/11 5/13 7/17 11/25 1/2 19/35 13/23 10/17 3/5 7/11 5/7 4/5 1/1 8/7 13/11 5/4 9/7 7/5 3/2 11/7 67/41 28/17 5/3 23/13 2/1 37/17 11/5 25/11 7/3 19/8 5/2 181/71 13/5 8/3 79/29 11/4 53/19 20/7 3/1 16/5 55/17 10/3 37/11 24/7 7/2 47/13 40/11 11/3 26/7 4/1 29/7 13/3 22/5 49/11 9/2 23/5 14/3 24/5 5/1 16/3 27/5 38/7 11/2 28/5 17/3 6/1 31/5 19/3 32/5 13/2 20/3 7/1 22/3 15/2 8/1 9/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 1/2 -8/17 1/2 -7/15 2/3 -13/28 1/2 3/4 -6/13 1/2 2/3 -5/11 1/1 -14/31 1/2 1/1 -9/20 1/2 -31/69 7/10 3/4 -22/49 1/1 -13/29 1/1 -17/38 3/4 5/6 -4/9 0/1 1/1 -11/25 1/2 1/0 -29/66 1/2 -47/107 2/3 -18/41 2/3 1/1 -7/16 1/1 -17/39 3/2 1/0 -27/62 1/0 -10/23 0/1 1/0 -13/30 1/2 -3/7 1/1 -14/33 0/1 1/0 -25/59 1/4 1/2 -11/26 1/2 1/0 -30/71 -1/1 0/1 -19/45 1/4 1/2 -27/64 1/2 -8/19 1/2 1/1 -5/12 1/0 -12/29 1/2 1/1 -19/46 0/1 -7/17 1/2 1/0 -16/39 2/3 1/1 -9/22 1/0 -11/27 1/1 -2/5 0/1 1/2 1/1 -13/33 1/1 -11/28 1/0 -9/23 1/2 1/0 -16/41 -1/1 0/1 -7/18 1/2 -19/49 1/1 -12/31 0/1 1/2 -17/44 0/1 -5/13 1/1 -18/47 -1/1 0/1 -31/81 1/2 1/0 -44/115 0/1 1/1 -13/34 1/2 1/0 -8/21 0/1 1/0 -3/8 1/2 -10/27 -1/1 1/0 -17/46 -1/2 -7/19 0/1 -4/11 0/1 1/2 -9/25 0/1 -23/64 3/2 -14/39 0/1 1/1 -5/14 0/1 -6/17 1/3 1/2 -13/37 1/2 -7/20 1/2 -1/3 1/2 1/0 -5/16 1/2 -4/13 1/1 -11/36 1/0 -7/23 0/1 -10/33 0/1 1/1 -3/10 1/2 -11/37 1/2 3/4 -19/64 2/3 -8/27 2/3 3/4 -5/17 1/1 -12/41 1/1 2/1 -19/65 3/2 1/0 -7/24 1/0 -9/31 1/2 1/0 -2/7 0/1 1/1 -5/18 3/2 -13/47 1/2 1/0 -8/29 1/1 2/1 1/0 -19/69 3/2 1/0 -11/40 1/0 -3/11 1/1 -7/26 1/0 -4/15 1/2 1/1 -9/34 5/4 -5/19 3/2 1/0 -1/4 1/2 1/0 -5/21 -1/1 -4/17 -1/2 0/1 -7/30 1/4 -3/13 1/2 1/0 -2/9 0/1 1/0 -3/14 1/2 -7/33 1/2 3/4 -11/52 5/4 -15/71 2/1 -4/19 0/1 1/1 1/0 -5/24 1/2 -1/5 0/1 -4/21 1/1 1/0 -7/37 1/1 -3/16 1/0 -2/11 0/1 -5/28 1/2 -8/45 1/2 2/3 -3/17 1/2 1/0 -1/6 1/0 -2/13 1/2 1/1 -3/20 1/0 -1/7 0/1 -3/22 1/2 -2/15 0/1 1/0 -3/23 1/1 -4/31 1/1 -1/8 1/0 -2/17 0/1 1/2 1/1 -1/9 0/1 0/1 0/1 1/1 1/8 0/1 1/7 0/1 2/13 0/1 1/1 1/0 5/32 1/0 3/19 -1/2 1/0 4/25 -1/3 0/1 1/6 1/2 2/11 0/1 1/2 1/5 0/1 2/9 1/1 1/0 5/22 0/1 3/13 1/1 7/30 1/0 11/47 -1/2 1/0 4/17 -1/1 0/1 1/0 5/21 -1/2 1/0 6/25 -1/5 0/1 1/4 1/2 6/23 2/3 1/1 5/19 1/1 4/15 2/1 1/0 15/56 1/0 11/41 -1/1 7/26 1/2 1/0 10/37 -1/1 0/1 3/11 1/2 1/0 2/7 0/1 5/17 1/4 1/2 13/44 1/4 1/2 8/27 2/5 1/2 3/10 1/2 4/13 1/2 1/1 5/16 1/2 1/0 1/3 0/1 7/20 1/1 6/17 0/1 1/1 5/14 1/0 9/25 1/2 1/0 13/36 1/2 4/11 0/1 1/2 1/1 11/30 5/6 29/79 1/1 18/49 1/1 8/7 25/68 5/4 3/2 7/19 3/2 1/0 10/27 0/1 1/0 3/8 1/0 11/29 -1/1 30/79 -8/15 -1/2 19/50 -1/2 -3/8 8/21 -1/3 0/1 5/13 0/1 12/31 0/1 1/7 19/49 1/5 7/18 1/4 2/5 0/1 1/2 7/17 0/1 19/46 1/4 50/121 1/5 31/75 5/22 1/4 12/29 0/1 1/3 5/12 1/2 13/31 1/3 8/19 1/2 11/26 1/2 14/33 2/3 1/1 3/7 1/2 1/0 13/30 1/0 10/23 -1/1 0/1 1/0 7/16 -1/2 11/25 0/1 15/34 1/10 4/9 0/1 1/4 9/20 1/4 5/11 1/3 11/24 1/2 17/37 1/2 6/13 1/2 2/3 1/2 1/2 1/0 7/13 0/1 13/24 1/2 32/59 8/17 1/2 19/35 1/2 6/11 1/2 3/5 11/20 3/4 16/29 2/3 5/9 1/2 3/4 19/34 1/2 14/25 2/3 3/4 1/1 9/16 5/6 13/23 1/1 17/30 7/6 4/7 1/1 1/0 11/19 0/1 29/50 1/2 18/31 0/1 1/1 7/12 1/2 10/17 1/2 13/22 1/2 16/27 3/5 2/3 3/5 1/1 14/23 2/5 1/2 11/18 1/2 41/67 1/2 30/49 1/2 2/3 49/80 1/2 3/4 19/31 1/2 3/4 8/13 1/2 2/3 1/1 37/60 1/2 29/47 1/1 21/34 3/4 13/21 1/2 1/0 31/50 2/3 18/29 2/3 1/1 23/37 2/3 28/45 2/3 1/1 5/8 3/4 17/27 4/5 46/73 4/5 1/1 29/46 13/16 5/6 12/19 6/7 1/1 7/11 1/1 16/25 1/1 6/5 25/39 4/3 34/53 1/1 4/3 3/2 9/14 3/2 2/3 0/1 1/1 7/10 1/2 33/47 0/1 26/37 1/2 45/64 1/2 19/27 1/2 3/4 12/17 2/3 1/1 5/7 1/1 18/25 1/1 6/5 31/43 27/22 5/4 13/18 5/4 21/29 5/4 3/2 8/11 3/2 2/1 11/15 3/2 1/0 14/19 2/1 3/1 1/0 3/4 1/0 16/21 4/1 1/0 13/17 0/1 23/30 1/0 10/13 0/1 1/1 27/35 3/2 1/0 44/57 1/1 2/1 17/22 1/2 1/0 7/9 0/1 4/5 1/1 9/11 2/1 14/17 2/1 3/1 19/23 1/1 5/6 1/0 16/19 2/1 1/0 27/32 1/0 11/13 1/0 6/7 0/1 1/0 7/8 1/2 1/0 8/9 1/2 1/1 1/1 1/2 1/0 10/9 -1/2 0/1 9/8 1/2 8/7 0/1 1/1 1/0 15/13 0/1 7/6 1/0 20/17 4/1 1/0 13/11 1/0 6/5 -1/1 1/0 17/14 -1/2 28/23 0/1 1/1 1/0 11/9 -1/1 27/22 -1/2 16/13 -1/1 0/1 5/4 0/1 24/19 0/1 1/3 43/34 1/2 19/15 1/2 3/4 33/26 1/0 47/37 0/1 14/11 0/1 1/1 65/51 0/1 51/40 1/2 37/29 0/1 60/47 4/9 1/2 23/18 3/4 32/25 1/1 2/1 1/0 9/7 0/1 22/17 0/1 1/1 1/0 35/27 -1/2 1/0 13/10 1/2 17/13 1/1 4/3 0/1 1/0 15/11 1/2 1/0 56/41 1/1 2/1 97/71 2/1 41/30 1/0 26/19 1/0 11/8 1/0 18/13 -1/1 0/1 7/5 0/1 10/7 1/3 1/2 53/37 1/2 43/30 1/2 76/53 1/2 4/7 3/5 33/23 2/3 23/16 1/2 3/4 13/9 1/2 1/0 29/20 1/0 16/11 0/1 19/13 1/3 22/15 1/2 6/11 3/2 1/0 23/15 7/2 1/0 20/13 -2/1 -1/1 1/0 17/11 0/1 14/9 -1/1 0/1 11/7 0/1 30/19 0/1 1/5 49/31 0/1 19/12 1/4 8/5 0/1 1/2 37/23 1/2 29/18 1/2 21/13 1/2 1/0 55/34 3/4 89/55 1/1 34/21 1/1 1/0 47/29 0/1 13/8 1/2 1/0 44/27 0/1 1/1 119/73 0/1 75/46 1/0 31/19 1/2 1/0 49/30 -1/2 67/41 0/1 85/52 1/8 18/11 0/1 1/3 59/36 1/2 41/25 1/3 64/39 2/5 3/7 23/14 1/2 28/17 1/2 5/3 1/1 27/16 1/0 49/29 2/1 22/13 -2/1 1/0 39/23 -1/2 1/0 17/10 0/1 46/27 0/1 1/1 75/44 1/0 29/17 1/2 1/0 12/7 0/1 1/0 19/11 1/1 45/26 1/0 26/15 -1/1 0/1 59/34 1/2 1/0 33/19 0/1 7/4 1/0 23/13 0/1 39/22 1/6 16/9 0/1 1/3 41/23 0/1 66/37 1/3 2/5 91/51 9/20 1/2 25/14 1/2 1/0 34/19 1/2 2/3 9/5 1/2 1/0 29/16 1/1 49/27 2/1 20/11 0/1 1/1 11/6 1/2 2/1 0/1 1/1 1/0 13/6 1/2 37/17 0/1 24/11 0/1 1/2 35/16 1/2 3/4 11/5 1/1 31/14 0/1 51/23 3/8 1/2 20/9 0/1 1/1 9/4 1/2 25/11 1/1 41/18 5/4 16/7 1/1 2/1 39/17 2/1 23/10 3/2 1/0 99/43 13/2 1/0 76/33 -8/1 1/0 53/23 -1/1 30/13 0/1 1/1 7/3 1/2 1/0 33/14 1/0 59/25 1/0 26/11 2/1 1/0 45/19 -1/1 19/8 0/1 69/29 1/2 1/0 50/21 0/1 1/1 31/13 0/1 43/18 1/0 12/5 1/1 1/0 17/7 0/1 22/9 0/1 1/3 49/20 5/12 1/2 76/31 12/25 1/2 27/11 1/2 5/8 5/2 1/2 28/11 0/1 1/3 1/2 79/31 11/24 1/2 130/51 20/41 1/2 181/71 1/2 51/20 1/2 74/29 4/7 3/5 23/9 2/3 41/16 1/2 3/4 18/7 2/3 1/1 13/5 1/1 34/13 1/1 4/3 123/47 3/2 1/0 89/34 5/4 3/2 55/21 4/3 76/29 3/2 5/3 2/1 21/8 3/2 8/3 1/1 1/0 35/13 1/0 62/23 -2/1 1/0 27/10 1/0 19/7 -1/2 1/0 87/32 -1/2 68/25 -1/1 -1/2 0/1 49/18 -1/4 79/29 0/1 109/40 1/10 30/11 0/1 1/3 41/15 0/1 52/19 0/1 1/1 11/4 1/2 1/0 47/17 0/1 36/13 0/1 1/1 25/9 -1/2 1/0 39/14 -1/2 53/19 0/1 67/24 1/6 14/5 0/1 1/2 31/11 1/1 17/6 1/2 54/19 0/1 1/1 37/13 1/2 1/0 20/7 0/1 23/8 1/4 26/9 6/13 1/2 3/1 1/1 19/6 1/2 54/17 0/1 1/1 35/11 1/2 1/0 16/5 0/1 1/2 1/1 29/9 1/2 3/4 42/13 3/4 1/1 55/17 1/1 13/4 1/0 36/11 0/1 1/1 59/18 3/2 82/25 -4/1 1/0 23/7 0/1 10/3 0/1 1/2 37/11 1/2 64/19 1/2 3/5 27/8 1/2 71/21 4/7 44/13 1/2 3/5 2/3 61/18 5/8 17/5 1/2 3/4 41/12 1/2 24/7 2/3 1/1 7/2 1/1 32/9 1/1 4/3 57/16 3/2 82/23 3/2 11/7 8/5 25/7 2/1 43/12 1/0 18/5 1/1 2/1 65/18 3/2 112/31 1/1 2/1 47/13 2/1 76/21 2/1 3/1 29/8 1/0 69/19 -1/1 40/11 0/1 1/1 1/0 11/3 1/2 1/0 37/10 3/2 63/17 2/1 26/7 0/1 1/1 1/0 41/11 0/1 97/26 1/2 1/0 56/15 0/1 1/1 71/19 0/1 15/4 1/2 4/1 0/1 1/1 29/7 1/1 25/6 13/12 21/5 7/6 5/4 38/9 1/1 4/3 17/4 5/4 3/2 30/7 3/2 2/1 73/17 2/1 43/10 3/2 13/3 1/1 35/8 1/0 22/5 1/1 53/12 3/2 31/7 3/2 7/4 40/9 1/1 2/1 49/11 2/1 58/13 1/1 2/1 9/2 1/0 32/7 1/1 4/3 3/2 119/26 3/2 325/71 3/2 206/45 3/2 56/37 87/19 3/2 25/16 55/12 3/2 23/5 2/1 37/8 2/1 14/3 1/1 1/0 19/4 1/0 24/5 1/1 2/1 29/6 1/0 5/1 1/1 16/3 3/2 2/1 27/5 1/1 38/7 2/1 11/2 3/2 28/5 1/1 2/1 1/0 45/8 3/2 107/19 2/1 62/11 1/1 2/1 17/3 2/1 6/1 2/1 1/0 31/5 1/0 25/4 1/0 19/3 3/2 1/0 32/5 0/1 1/0 13/2 3/2 1/0 33/5 5/2 1/0 53/8 3/2 20/3 1/1 2/1 7/1 2/1 22/3 2/1 3/1 15/2 1/0 8/1 1/0 17/2 1/0 9/1 3/2 1/0 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(817,386,1162,549) (-1/2,-8/17) -> (26/37,45/64) Hyperbolic Matrix(951,446,1354,635) (-8/17,-7/15) -> (33/47,26/37) Hyperbolic Matrix(1481,688,536,249) (-7/15,-13/28) -> (11/4,47/17) Hyperbolic Matrix(1477,684,2412,1117) (-13/28,-6/13) -> (30/49,49/80) Hyperbolic Matrix(265,122,202,93) (-6/13,-5/11) -> (17/13,4/3) Hyperbolic Matrix(261,118,-1378,-623) (-5/11,-14/31) -> (-4/21,-7/37) Hyperbolic Matrix(1573,710,658,297) (-14/31,-9/20) -> (43/18,12/5) Hyperbolic Matrix(4317,1940,652,293) (-9/20,-31/69) -> (33/5,53/8) Hyperbolic Matrix(4969,2232,12024,5401) (-31/69,-22/49) -> (50/121,31/75) Hyperbolic Matrix(263,118,-2026,-909) (-22/49,-13/29) -> (-3/23,-4/31) Hyperbolic Matrix(1433,642,654,293) (-13/29,-17/38) -> (35/16,11/5) Hyperbolic Matrix(909,406,2474,1105) (-17/38,-4/9) -> (18/49,25/68) Hyperbolic Matrix(131,58,-454,-201) (-4/9,-11/25) -> (-9/31,-2/7) Hyperbolic Matrix(901,396,3852,1693) (-11/25,-29/66) -> (7/30,11/47) Hyperbolic Matrix(10789,4740,7896,3469) (-29/66,-47/107) -> (97/71,41/30) Hyperbolic Matrix(6289,2762,1414,621) (-47/107,-18/41) -> (40/9,49/11) Hyperbolic Matrix(383,168,1092,479) (-18/41,-7/16) -> (7/20,6/17) Hyperbolic Matrix(1275,556,704,307) (-7/16,-17/39) -> (9/5,29/16) Hyperbolic Matrix(381,166,2426,1057) (-17/39,-27/62) -> (5/32,3/19) Hyperbolic Matrix(4465,1944,1656,721) (-27/62,-10/23) -> (62/23,27/10) Hyperbolic Matrix(129,56,-956,-415) (-10/23,-13/30) -> (-3/22,-2/15) Hyperbolic Matrix(1017,440,1648,713) (-13/30,-3/7) -> (29/47,21/34) Hyperbolic Matrix(1003,426,186,79) (-3/7,-14/33) -> (16/3,27/5) Hyperbolic Matrix(623,264,564,239) (-14/33,-25/59) -> (1/1,10/9) Hyperbolic Matrix(1625,688,248,105) (-25/59,-11/26) -> (13/2,33/5) Hyperbolic Matrix(4865,2056,2804,1185) (-11/26,-30/71) -> (26/15,59/34) Hyperbolic Matrix(625,264,2616,1105) (-30/71,-19/45) -> (5/21,6/25) Hyperbolic Matrix(3241,1368,4608,1945) (-19/45,-27/64) -> (45/64,19/27) Hyperbolic Matrix(4609,1944,1368,577) (-27/64,-8/19) -> (64/19,27/8) Hyperbolic Matrix(495,208,188,79) (-8/19,-5/12) -> (21/8,8/3) Hyperbolic Matrix(613,254,-1658,-687) (-5/12,-12/29) -> (-10/27,-17/46) Hyperbolic Matrix(1717,710,370,153) (-12/29,-19/46) -> (37/8,14/3) Hyperbolic Matrix(2083,860,1228,507) (-19/46,-7/17) -> (39/23,17/10) Hyperbolic Matrix(1223,502,1586,651) (-7/17,-16/39) -> (10/13,27/35) Hyperbolic Matrix(1951,800,856,351) (-16/39,-9/22) -> (41/18,16/7) Hyperbolic Matrix(971,396,792,323) (-9/22,-11/27) -> (11/9,27/22) Hyperbolic Matrix(119,48,-300,-121) (-11/27,-2/5) -> (-2/5,-13/33) Parabolic Matrix(1783,702,414,163) (-13/33,-11/28) -> (43/10,13/3) Hyperbolic Matrix(1419,556,416,163) (-11/28,-9/23) -> (17/5,41/12) Hyperbolic Matrix(353,138,1302,509) (-9/23,-16/41) -> (10/37,3/11) Hyperbolic Matrix(1887,736,1064,415) (-16/41,-7/18) -> (39/22,16/9) Hyperbolic Matrix(587,228,708,275) (-7/18,-19/49) -> (19/23,5/6) Hyperbolic Matrix(1647,638,586,227) (-19/49,-12/31) -> (14/5,31/11) Hyperbolic Matrix(941,364,-3172,-1227) (-12/31,-17/44) -> (-19/64,-8/27) Hyperbolic Matrix(2227,860,940,363) (-17/44,-5/13) -> (45/19,19/8) Hyperbolic Matrix(349,134,586,225) (-5/13,-18/47) -> (16/27,3/5) Hyperbolic Matrix(465,178,2918,1117) (-18/47,-31/81) -> (3/19,4/25) Hyperbolic Matrix(8629,3302,3034,1161) (-31/81,-44/115) -> (54/19,37/13) Hyperbolic Matrix(13059,4996,3500,1339) (-44/115,-13/34) -> (97/26,56/15) Hyperbolic Matrix(351,134,406,155) (-13/34,-8/21) -> (6/7,7/8) Hyperbolic Matrix(463,176,292,111) (-8/21,-3/8) -> (19/12,8/5) Hyperbolic Matrix(345,128,628,233) (-3/8,-10/27) -> (6/11,11/20) Hyperbolic Matrix(683,252,1656,611) (-17/46,-7/19) -> (7/17,19/46) Hyperbolic Matrix(115,42,282,103) (-7/19,-4/11) -> (2/5,7/17) Hyperbolic Matrix(337,122,58,21) (-4/11,-9/25) -> (17/3,6/1) Hyperbolic Matrix(1235,444,-5844,-2101) (-9/25,-23/64) -> (-11/52,-15/71) Hyperbolic Matrix(4605,1654,1406,505) (-23/64,-14/39) -> (36/11,59/18) Hyperbolic Matrix(1461,524,2356,845) (-14/39,-5/14) -> (31/50,18/29) Hyperbolic Matrix(113,40,500,177) (-5/14,-6/17) -> (2/9,5/22) Hyperbolic Matrix(2997,1054,890,313) (-6/17,-13/37) -> (37/11,64/19) Hyperbolic Matrix(1219,428,1444,507) (-13/37,-7/20) -> (27/32,11/13) Hyperbolic Matrix(219,76,608,211) (-7/20,-1/3) -> (9/25,13/36) Hyperbolic Matrix(423,134,262,83) (-1/3,-5/16) -> (29/18,21/13) Hyperbolic Matrix(207,64,-676,-209) (-5/16,-4/13) -> (-4/13,-11/36) Parabolic Matrix(1349,412,776,237) (-11/36,-7/23) -> (33/19,7/4) Hyperbolic Matrix(1655,502,722,219) (-7/23,-10/33) -> (16/7,39/17) Hyperbolic Matrix(1137,344,1960,593) (-10/33,-3/10) -> (29/50,18/31) Hyperbolic Matrix(511,152,1180,351) (-3/10,-11/37) -> (3/7,13/30) Hyperbolic Matrix(5119,1520,2152,639) (-11/37,-19/64) -> (19/8,69/29) Hyperbolic Matrix(203,60,768,227) (-8/27,-5/17) -> (5/19,4/15) Hyperbolic Matrix(307,90,1170,343) (-5/17,-12/41) -> (6/23,5/19) Hyperbolic Matrix(3967,1160,5140,1503) (-12/41,-19/65) -> (27/35,44/57) Hyperbolic Matrix(1321,386,154,45) (-19/65,-7/24) -> (17/2,9/1) Hyperbolic Matrix(709,206,1270,369) (-7/24,-9/31) -> (5/9,19/34) Hyperbolic Matrix(99,28,152,43) (-2/7,-5/18) -> (9/14,2/3) Hyperbolic Matrix(1893,524,1492,413) (-5/18,-13/47) -> (19/15,33/26) Hyperbolic Matrix(1593,440,496,137) (-13/47,-8/29) -> (16/5,29/9) Hyperbolic Matrix(595,164,2536,699) (-8/29,-19/69) -> (11/47,4/17) Hyperbolic Matrix(2485,684,396,109) (-19/69,-11/40) -> (25/4,19/3) Hyperbolic Matrix(497,136,296,81) (-11/40,-3/11) -> (5/3,27/16) Hyperbolic Matrix(393,106,938,253) (-3/11,-7/26) -> (5/12,13/31) Hyperbolic Matrix(97,26,-638,-171) (-7/26,-4/15) -> (-2/13,-3/20) Hyperbolic Matrix(391,104,688,183) (-4/15,-9/34) -> (17/30,4/7) Hyperbolic Matrix(1077,284,292,77) (-9/34,-5/19) -> (11/3,37/10) Hyperbolic Matrix(489,128,340,89) (-5/19,-1/4) -> (23/16,13/9) Hyperbolic Matrix(191,46,710,171) (-1/4,-5/21) -> (11/41,7/26) Hyperbolic Matrix(93,22,-706,-167) (-5/21,-4/17) -> (-2/15,-3/23) Hyperbolic Matrix(375,88,848,199) (-4/17,-7/30) -> (15/34,4/9) Hyperbolic Matrix(1219,284,940,219) (-7/30,-3/13) -> (35/27,13/10) Hyperbolic Matrix(187,42,138,31) (-3/13,-2/9) -> (4/3,15/11) Hyperbolic Matrix(91,20,232,51) (-2/9,-3/14) -> (7/18,2/5) Hyperbolic Matrix(1187,252,504,107) (-3/14,-7/33) -> (7/3,33/14) Hyperbolic Matrix(1917,406,458,97) (-7/33,-11/52) -> (25/6,21/5) Hyperbolic Matrix(6023,1272,4200,887) (-15/71,-4/19) -> (76/53,33/23) Hyperbolic Matrix(363,76,320,67) (-4/19,-5/24) -> (9/8,8/7) Hyperbolic Matrix(815,168,228,47) (-5/24,-1/5) -> (25/7,43/12) Hyperbolic Matrix(1157,222,714,137) (-1/5,-4/21) -> (34/21,47/29) Hyperbolic Matrix(2839,536,1732,327) (-7/37,-3/16) -> (59/36,41/25) Hyperbolic Matrix(87,16,-484,-89) (-3/16,-2/11) -> (-2/11,-5/28) Parabolic Matrix(1663,296,1972,351) (-5/28,-8/45) -> (16/19,27/32) Hyperbolic Matrix(1399,248,220,39) (-8/45,-3/17) -> (19/3,32/5) Hyperbolic Matrix(347,60,480,83) (-3/17,-1/6) -> (13/18,21/29) Hyperbolic Matrix(257,40,212,33) (-1/6,-2/13) -> (6/5,17/14) Hyperbolic Matrix(421,62,550,81) (-3/20,-1/7) -> (13/17,23/30) Hyperbolic Matrix(1171,162,918,127) (-1/7,-3/22) -> (51/40,37/29) Hyperbolic Matrix(989,126,2394,305) (-4/31,-1/8) -> (19/46,50/121) Hyperbolic Matrix(1389,166,410,49) (-1/8,-2/17) -> (44/13,61/18) Hyperbolic Matrix(731,84,1140,131) (-2/17,-1/9) -> (25/39,34/53) Hyperbolic Matrix(481,50,202,21) (-1/9,0/1) -> (50/21,31/13) Hyperbolic Matrix(385,-46,226,-27) (0/1,1/8) -> (17/10,46/27) Hyperbolic Matrix(443,-60,96,-13) (1/8,1/7) -> (23/5,37/8) Hyperbolic Matrix(251,-38,218,-33) (1/7,2/13) -> (8/7,15/13) Hyperbolic Matrix(2991,-466,2086,-325) (2/13,5/32) -> (43/30,76/53) Hyperbolic Matrix(2233,-358,1366,-219) (4/25,1/6) -> (85/52,18/11) Hyperbolic Matrix(123,-22,274,-49) (1/6,2/11) -> (4/9,9/20) Hyperbolic Matrix(303,-56,92,-17) (2/11,1/5) -> (23/7,10/3) Hyperbolic Matrix(119,-26,206,-45) (1/5,2/9) -> (4/7,11/19) Hyperbolic Matrix(645,-148,292,-67) (5/22,3/13) -> (11/5,31/14) Hyperbolic Matrix(525,-122,1958,-455) (3/13,7/30) -> (15/56,11/41) Hyperbolic Matrix(931,-220,292,-69) (4/17,5/21) -> (35/11,16/5) Hyperbolic Matrix(2845,-684,1044,-251) (6/25,1/4) -> (109/40,30/11) Hyperbolic Matrix(1085,-282,858,-223) (1/4,6/23) -> (24/19,43/34) Hyperbolic Matrix(1987,-532,3664,-981) (4/15,15/56) -> (13/24,32/59) Hyperbolic Matrix(2269,-612,3600,-971) (7/26,10/37) -> (46/73,29/46) Hyperbolic Matrix(57,-16,196,-55) (3/11,2/7) -> (2/7,5/17) Parabolic Matrix(1669,-492,2724,-803) (5/17,13/44) -> (49/80,19/31) Hyperbolic Matrix(2001,-592,916,-271) (13/44,8/27) -> (24/11,35/16) Hyperbolic Matrix(389,-116,332,-99) (8/27,3/10) -> (7/6,20/17) Hyperbolic Matrix(387,-118,82,-25) (3/10,4/13) -> (14/3,19/4) Hyperbolic Matrix(219,-68,248,-77) (4/13,5/16) -> (7/8,8/9) Hyperbolic Matrix(491,-156,192,-61) (5/16,1/3) -> (23/9,41/16) Hyperbolic Matrix(1067,-372,588,-205) (1/3,7/20) -> (29/16,49/27) Hyperbolic Matrix(531,-188,692,-245) (6/17,5/14) -> (23/30,10/13) Hyperbolic Matrix(1325,-476,476,-171) (5/14,9/25) -> (25/9,39/14) Hyperbolic Matrix(1323,-478,2062,-745) (13/36,4/11) -> (34/53,9/14) Hyperbolic Matrix(1213,-444,948,-347) (4/11,11/30) -> (23/18,32/25) Hyperbolic Matrix(2845,-1044,684,-251) (11/30,29/79) -> (29/7,25/6) Hyperbolic Matrix(1737,-638,422,-155) (29/79,18/49) -> (4/1,29/7) Hyperbolic Matrix(10055,-3698,3842,-1413) (25/68,7/19) -> (123/47,89/34) Hyperbolic Matrix(1471,-544,868,-321) (7/19,10/27) -> (22/13,39/23) Hyperbolic Matrix(263,-98,314,-117) (10/27,3/8) -> (5/6,16/19) Hyperbolic Matrix(575,-218,182,-69) (3/8,11/29) -> (3/1,19/6) Hyperbolic Matrix(991,-376,340,-129) (11/29,30/79) -> (26/9,3/1) Hyperbolic Matrix(7671,-2914,3130,-1189) (30/79,19/50) -> (49/20,76/31) Hyperbolic Matrix(2557,-972,3312,-1259) (19/50,8/21) -> (44/57,17/22) Hyperbolic Matrix(261,-100,676,-259) (8/21,5/13) -> (5/13,12/31) Parabolic Matrix(3113,-1206,1350,-523) (12/31,19/49) -> (53/23,30/13) Hyperbolic Matrix(2335,-906,3786,-1469) (19/49,7/18) -> (37/60,29/47) Hyperbolic Matrix(7589,-3138,4254,-1759) (31/75,12/29) -> (66/37,91/51) Hyperbolic Matrix(1477,-612,432,-179) (12/29,5/12) -> (41/12,24/7) Hyperbolic Matrix(963,-404,584,-245) (13/31,8/19) -> (28/17,5/3) Hyperbolic Matrix(1165,-492,708,-299) (8/19,11/26) -> (23/14,28/17) Hyperbolic Matrix(2933,-1242,810,-343) (11/26,14/33) -> (76/21,29/8) Hyperbolic Matrix(959,-408,228,-97) (14/33,3/7) -> (21/5,38/9) Hyperbolic Matrix(2763,-1198,1054,-457) (13/30,10/23) -> (76/29,21/8) Hyperbolic Matrix(701,-306,126,-55) (10/23,7/16) -> (11/2,28/5) Hyperbolic Matrix(551,-242,1250,-549) (7/16,11/25) -> (11/25,15/34) Parabolic Matrix(645,-292,148,-67) (9/20,5/11) -> (13/3,35/8) Hyperbolic Matrix(1975,-904,544,-249) (5/11,11/24) -> (29/8,69/19) Hyperbolic Matrix(2863,-1314,1998,-917) (11/24,17/37) -> (53/37,43/30) Hyperbolic Matrix(1431,-658,2638,-1213) (17/37,6/13) -> (32/59,19/35) Hyperbolic Matrix(393,-184,220,-103) (6/13,1/2) -> (25/14,34/19) Hyperbolic Matrix(377,-200,164,-87) (1/2,7/13) -> (39/17,23/10) Hyperbolic Matrix(2055,-1112,608,-329) (7/13,13/24) -> (27/8,71/21) Hyperbolic Matrix(933,-508,652,-355) (19/35,6/11) -> (10/7,53/37) Hyperbolic Matrix(1067,-588,372,-205) (11/20,16/29) -> (20/7,23/8) Hyperbolic Matrix(1253,-692,440,-243) (16/29,5/9) -> (37/13,20/7) Hyperbolic Matrix(2077,-1162,370,-207) (19/34,14/25) -> (28/5,45/8) Hyperbolic Matrix(737,-414,162,-91) (14/25,9/16) -> (9/2,32/7) Hyperbolic Matrix(599,-338,1058,-597) (9/16,13/23) -> (13/23,17/30) Parabolic Matrix(2963,-1718,1754,-1017) (11/19,29/50) -> (27/16,49/29) Hyperbolic Matrix(1549,-900,432,-251) (18/31,7/12) -> (43/12,18/5) Hyperbolic Matrix(499,-292,364,-213) (7/12,10/17) -> (26/19,11/8) Hyperbolic Matrix(1269,-748,928,-547) (10/17,13/22) -> (41/30,26/19) Hyperbolic Matrix(1311,-776,272,-161) (13/22,16/27) -> (24/5,29/6) Hyperbolic Matrix(1165,-708,492,-299) (3/5,14/23) -> (26/11,45/19) Hyperbolic Matrix(357,-218,470,-287) (14/23,11/18) -> (3/4,16/21) Hyperbolic Matrix(2233,-1366,358,-219) (11/18,41/67) -> (31/5,25/4) Hyperbolic Matrix(1921,-1176,312,-191) (41/67,30/49) -> (6/1,31/5) Hyperbolic Matrix(1383,-848,380,-233) (19/31,8/13) -> (40/11,11/3) Hyperbolic Matrix(5211,-3212,1916,-1181) (8/13,37/60) -> (87/32,68/25) Hyperbolic Matrix(1869,-1156,1156,-715) (21/34,13/21) -> (21/13,55/34) Hyperbolic Matrix(3201,-1984,1444,-895) (13/21,31/50) -> (31/14,51/23) Hyperbolic Matrix(4175,-2594,1154,-717) (18/29,23/37) -> (47/13,76/21) Hyperbolic Matrix(6259,-3892,1732,-1077) (23/37,28/45) -> (112/31,47/13) Hyperbolic Matrix(1197,-746,422,-263) (28/45,5/8) -> (17/6,54/19) Hyperbolic Matrix(309,-194,266,-167) (5/8,17/27) -> (15/13,7/6) Hyperbolic Matrix(5123,-3228,4020,-2533) (17/27,46/73) -> (14/11,65/51) Hyperbolic Matrix(1943,-1226,794,-501) (29/46,12/19) -> (22/9,49/20) Hyperbolic Matrix(309,-196,484,-307) (12/19,7/11) -> (7/11,16/25) Parabolic Matrix(3599,-2306,2018,-1293) (16/25,25/39) -> (41/23,66/37) Hyperbolic Matrix(85,-58,22,-15) (2/3,7/10) -> (15/4,4/1) Hyperbolic Matrix(3047,-2138,2390,-1677) (7/10,33/47) -> (65/51,51/40) Hyperbolic Matrix(929,-654,402,-283) (19/27,12/17) -> (30/13,7/3) Hyperbolic Matrix(211,-150,294,-209) (12/17,5/7) -> (5/7,18/25) Parabolic Matrix(2135,-1538,962,-693) (18/25,31/43) -> (51/23,20/9) Hyperbolic Matrix(543,-392,356,-257) (31/43,13/18) -> (3/2,23/15) Hyperbolic Matrix(1085,-786,606,-439) (21/29,8/11) -> (34/19,9/5) Hyperbolic Matrix(499,-364,292,-213) (8/11,11/15) -> (29/17,12/7) Hyperbolic Matrix(995,-732,768,-565) (11/15,14/19) -> (22/17,35/27) Hyperbolic Matrix(207,-154,82,-61) (14/19,3/4) -> (5/2,28/11) Hyperbolic Matrix(1797,-1372,1408,-1075) (16/21,13/17) -> (37/29,60/47) Hyperbolic Matrix(933,-722,650,-503) (17/22,7/9) -> (33/23,23/16) Hyperbolic Matrix(81,-64,100,-79) (7/9,4/5) -> (4/5,9/11) Parabolic Matrix(1027,-844,376,-309) (9/11,14/17) -> (30/11,41/15) Hyperbolic Matrix(2169,-1790,1322,-1091) (14/17,19/23) -> (41/25,64/39) Hyperbolic Matrix(389,-332,116,-99) (11/13,6/7) -> (10/3,37/11) Hyperbolic Matrix(303,-274,94,-85) (8/9,1/1) -> (29/9,42/13) Hyperbolic Matrix(715,-796,256,-285) (10/9,9/8) -> (67/24,14/5) Hyperbolic Matrix(1289,-1518,546,-643) (20/17,13/11) -> (59/25,26/11) Hyperbolic Matrix(263,-314,98,-117) (13/11,6/5) -> (8/3,35/13) Hyperbolic Matrix(2079,-2528,764,-929) (17/14,28/23) -> (68/25,49/18) Hyperbolic Matrix(1947,-2372,536,-653) (28/23,11/9) -> (69/19,40/11) Hyperbolic Matrix(1163,-1430,710,-873) (27/22,16/13) -> (18/11,59/36) Hyperbolic Matrix(161,-200,128,-159) (16/13,5/4) -> (5/4,24/19) Parabolic Matrix(3783,-4786,826,-1045) (43/34,19/15) -> (87/19,55/12) Hyperbolic Matrix(5869,-7452,3600,-4571) (33/26,47/37) -> (119/73,75/46) Hyperbolic Matrix(3139,-3990,2298,-2921) (47/37,14/11) -> (56/41,97/71) Hyperbolic Matrix(1549,-1978,538,-687) (60/47,23/18) -> (23/8,26/9) Hyperbolic Matrix(2083,-2668,616,-789) (32/25,9/7) -> (71/21,44/13) Hyperbolic Matrix(879,-1136,236,-305) (9/7,22/17) -> (26/7,41/11) Hyperbolic Matrix(531,-692,188,-245) (13/10,17/13) -> (31/11,17/6) Hyperbolic Matrix(5417,-7398,2070,-2827) (15/11,56/41) -> (34/13,123/47) Hyperbolic Matrix(303,-418,166,-229) (11/8,18/13) -> (20/11,11/6) Hyperbolic Matrix(331,-460,136,-189) (18/13,7/5) -> (17/7,22/9) Hyperbolic Matrix(179,-254,74,-105) (7/5,10/7) -> (12/5,17/7) Hyperbolic Matrix(1295,-1874,794,-1149) (13/9,29/20) -> (75/46,31/19) Hyperbolic Matrix(881,-1278,162,-235) (29/20,16/11) -> (38/7,11/2) Hyperbolic Matrix(791,-1154,146,-213) (16/11,19/13) -> (27/5,38/7) Hyperbolic Matrix(1783,-2610,774,-1133) (19/13,22/15) -> (76/33,53/23) Hyperbolic Matrix(1049,-1544,320,-471) (22/15,3/2) -> (59/18,82/25) Hyperbolic Matrix(1447,-2224,568,-873) (23/15,20/13) -> (28/11,79/31) Hyperbolic Matrix(1105,-1702,298,-459) (20/13,17/11) -> (63/17,26/7) Hyperbolic Matrix(283,-438,42,-65) (17/11,14/9) -> (20/3,7/1) Hyperbolic Matrix(309,-484,196,-307) (14/9,11/7) -> (11/7,30/19) Parabolic Matrix(2009,-3174,726,-1147) (30/19,49/31) -> (47/17,36/13) Hyperbolic Matrix(1981,-3132,432,-683) (49/31,19/12) -> (55/12,23/5) Hyperbolic Matrix(1601,-2574,594,-955) (8/5,37/23) -> (35/13,62/23) Hyperbolic Matrix(1821,-2932,772,-1243) (37/23,29/18) -> (33/14,59/25) Hyperbolic Matrix(2585,-4182,798,-1291) (55/34,89/55) -> (55/17,13/4) Hyperbolic Matrix(3465,-5608,1072,-1735) (89/55,34/21) -> (42/13,55/17) Hyperbolic Matrix(3021,-4898,1154,-1871) (47/29,13/8) -> (89/34,55/21) Hyperbolic Matrix(713,-1160,260,-423) (13/8,44/27) -> (52/19,11/4) Hyperbolic Matrix(5557,-9058,1246,-2031) (44/27,119/73) -> (49/11,58/13) Hyperbolic Matrix(1669,-2724,492,-803) (31/19,49/30) -> (61/18,17/5) Hyperbolic Matrix(5495,-8978,3362,-5493) (49/30,67/41) -> (67/41,85/52) Parabolic Matrix(3025,-4966,1186,-1947) (64/39,23/14) -> (51/20,74/29) Hyperbolic Matrix(2677,-4524,816,-1379) (49/29,22/13) -> (82/25,23/7) Hyperbolic Matrix(6683,-11390,1850,-3153) (46/27,75/44) -> (65/18,112/31) Hyperbolic Matrix(2315,-3948,852,-1453) (75/44,29/17) -> (19/7,87/32) Hyperbolic Matrix(211,-364,40,-69) (12/7,19/11) -> (5/1,16/3) Hyperbolic Matrix(449,-776,92,-159) (19/11,45/26) -> (29/6,5/1) Hyperbolic Matrix(1687,-2922,474,-821) (45/26,26/15) -> (32/9,57/16) Hyperbolic Matrix(3237,-5620,868,-1507) (59/34,33/19) -> (41/11,97/26) Hyperbolic Matrix(599,-1058,338,-597) (7/4,23/13) -> (23/13,39/22) Parabolic Matrix(569,-1014,78,-139) (16/9,41/23) -> (7/1,22/3) Hyperbolic Matrix(2559,-4568,1112,-1985) (91/51,25/14) -> (23/10,99/43) Hyperbolic Matrix(2251,-4086,882,-1601) (49/27,20/11) -> (74/29,23/9) Hyperbolic Matrix(25,-48,12,-23) (11/6,2/1) -> (2/1,13/6) Parabolic Matrix(681,-1478,182,-395) (13/6,37/17) -> (71/19,15/4) Hyperbolic Matrix(1313,-2862,306,-667) (37/17,24/11) -> (30/7,73/17) Hyperbolic Matrix(267,-596,56,-125) (20/9,9/4) -> (19/4,24/5) Hyperbolic Matrix(551,-1250,242,-549) (9/4,25/11) -> (25/11,41/18) Parabolic Matrix(11729,-27006,2562,-5899) (99/43,76/33) -> (206/45,87/19) Hyperbolic Matrix(2301,-5476,724,-1723) (69/29,50/21) -> (54/17,35/11) Hyperbolic Matrix(1615,-3856,436,-1041) (31/13,43/18) -> (37/10,63/17) Hyperbolic Matrix(3879,-9514,1522,-3733) (76/31,27/11) -> (79/31,130/51) Hyperbolic Matrix(645,-1586,146,-359) (27/11,5/2) -> (53/12,31/7) Hyperbolic Matrix(31201,-79536,6816,-17375) (130/51,181/71) -> (325/71,206/45) Hyperbolic Matrix(14949,-38114,3266,-8327) (181/71,51/20) -> (119/26,325/71) Hyperbolic Matrix(727,-1864,172,-441) (41/16,18/7) -> (38/9,17/4) Hyperbolic Matrix(261,-676,100,-259) (18/7,13/5) -> (13/5,34/13) Parabolic Matrix(2447,-6410,686,-1797) (55/21,76/29) -> (82/23,25/7) Hyperbolic Matrix(97,-262,10,-27) (27/10,19/7) -> (9/1,1/0) Hyperbolic Matrix(4583,-12482,1682,-4581) (49/18,79/29) -> (79/29,109/40) Parabolic Matrix(1253,-3426,222,-607) (41/15,52/19) -> (62/11,17/3) Hyperbolic Matrix(763,-2116,172,-477) (36/13,25/9) -> (31/7,40/9) Hyperbolic Matrix(2015,-5618,722,-2013) (39/14,53/19) -> (53/19,67/24) Parabolic Matrix(501,-1588,112,-355) (19/6,54/17) -> (58/13,9/2) Hyperbolic Matrix(253,-826,34,-111) (13/4,36/11) -> (22/3,15/2) Hyperbolic Matrix(113,-392,32,-111) (24/7,7/2) -> (7/2,32/9) Parabolic Matrix(3249,-11582,710,-2531) (57/16,82/23) -> (32/7,119/26) Hyperbolic Matrix(625,-2254,94,-339) (18/5,65/18) -> (53/8,20/3) Hyperbolic Matrix(2783,-10394,494,-1845) (56/15,71/19) -> (107/19,62/11) Hyperbolic Matrix(219,-934,34,-145) (17/4,30/7) -> (32/5,13/2) Hyperbolic Matrix(1835,-7886,326,-1401) (73/17,43/10) -> (45/8,107/19) Hyperbolic Matrix(441,-1936,100,-439) (35/8,22/5) -> (22/5,53/12) Parabolic Matrix(33,-256,4,-31) (15/2,8/1) -> (8/1,17/2) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,2,1) Matrix(817,386,1162,549) -> Matrix(1,0,0,1) Matrix(951,446,1354,635) -> Matrix(3,-2,8,-5) Matrix(1481,688,536,249) -> Matrix(3,-2,2,-1) Matrix(1477,684,2412,1117) -> Matrix(1,0,0,1) Matrix(265,122,202,93) -> Matrix(3,-2,2,-1) Matrix(261,118,-1378,-623) -> Matrix(3,-2,2,-1) Matrix(1573,710,658,297) -> Matrix(3,-2,2,-1) Matrix(4317,1940,652,293) -> Matrix(5,-4,4,-3) Matrix(4969,2232,12024,5401) -> Matrix(5,-4,24,-19) Matrix(263,118,-2026,-909) -> Matrix(3,-2,2,-1) Matrix(1433,642,654,293) -> Matrix(3,-2,2,-1) Matrix(909,406,2474,1105) -> Matrix(9,-8,8,-7) Matrix(131,58,-454,-201) -> Matrix(1,0,0,1) Matrix(901,396,3852,1693) -> Matrix(1,0,-2,1) Matrix(10789,4740,7896,3469) -> Matrix(7,-4,2,-1) Matrix(6289,2762,1414,621) -> Matrix(5,-4,4,-3) Matrix(383,168,1092,479) -> Matrix(3,-2,2,-1) Matrix(1275,556,704,307) -> Matrix(1,-2,2,-3) Matrix(381,166,2426,1057) -> Matrix(1,-2,0,1) Matrix(4465,1944,1656,721) -> Matrix(1,-2,0,1) Matrix(129,56,-956,-415) -> Matrix(1,0,0,1) Matrix(1017,440,1648,713) -> Matrix(1,-2,2,-3) Matrix(1003,426,186,79) -> Matrix(3,-2,2,-1) Matrix(623,264,564,239) -> Matrix(1,0,-2,1) Matrix(1625,688,248,105) -> Matrix(3,-2,2,-1) Matrix(4865,2056,2804,1185) -> Matrix(1,0,0,1) Matrix(625,264,2616,1105) -> Matrix(1,0,-4,1) Matrix(3241,1368,4608,1945) -> Matrix(5,-2,8,-3) Matrix(4609,1944,1368,577) -> Matrix(5,-2,8,-3) Matrix(495,208,188,79) -> Matrix(3,-2,2,-1) Matrix(613,254,-1658,-687) -> Matrix(1,0,-2,1) Matrix(1717,710,370,153) -> Matrix(3,-2,2,-1) Matrix(2083,860,1228,507) -> Matrix(1,0,-2,1) Matrix(1223,502,1586,651) -> Matrix(3,-2,2,-1) Matrix(1951,800,856,351) -> Matrix(5,-4,4,-3) Matrix(971,396,792,323) -> Matrix(1,0,-2,1) Matrix(119,48,-300,-121) -> Matrix(1,0,0,1) Matrix(1783,702,414,163) -> Matrix(3,-2,2,-1) Matrix(1419,556,416,163) -> Matrix(1,-2,2,-3) Matrix(353,138,1302,509) -> Matrix(1,0,0,1) Matrix(1887,736,1064,415) -> Matrix(1,0,4,1) Matrix(587,228,708,275) -> Matrix(3,-2,2,-1) Matrix(1647,638,586,227) -> Matrix(1,0,0,1) Matrix(941,364,-3172,-1227) -> Matrix(1,-2,2,-3) Matrix(2227,860,940,363) -> Matrix(1,0,-2,1) Matrix(349,134,586,225) -> Matrix(1,-2,2,-3) Matrix(465,178,2918,1117) -> Matrix(1,0,-2,1) Matrix(8629,3302,3034,1161) -> Matrix(1,0,0,1) Matrix(13059,4996,3500,1339) -> Matrix(1,0,0,1) Matrix(351,134,406,155) -> Matrix(1,0,0,1) Matrix(463,176,292,111) -> Matrix(1,0,2,1) Matrix(345,128,628,233) -> Matrix(1,-2,2,-3) Matrix(683,252,1656,611) -> Matrix(1,0,6,1) Matrix(115,42,282,103) -> Matrix(1,0,0,1) Matrix(337,122,58,21) -> Matrix(3,-2,2,-1) Matrix(1235,444,-5844,-2101) -> Matrix(3,-2,2,-1) Matrix(4605,1654,1406,505) -> Matrix(1,0,0,1) Matrix(1461,524,2356,845) -> Matrix(1,-2,2,-3) Matrix(113,40,500,177) -> Matrix(1,0,-2,1) Matrix(2997,1054,890,313) -> Matrix(9,-4,16,-7) Matrix(1219,428,1444,507) -> Matrix(11,-6,2,-1) Matrix(219,76,608,211) -> Matrix(1,0,0,1) Matrix(423,134,262,83) -> Matrix(1,0,0,1) Matrix(207,64,-676,-209) -> Matrix(3,-2,2,-1) Matrix(1349,412,776,237) -> Matrix(1,0,0,1) Matrix(1655,502,722,219) -> Matrix(3,-2,2,-1) Matrix(1137,344,1960,593) -> Matrix(1,0,0,1) Matrix(511,152,1180,351) -> Matrix(3,-2,2,-1) Matrix(5119,1520,2152,639) -> Matrix(3,-2,2,-1) Matrix(203,60,768,227) -> Matrix(5,-4,4,-3) Matrix(307,90,1170,343) -> Matrix(3,-4,4,-5) Matrix(3967,1160,5140,1503) -> Matrix(1,0,0,1) Matrix(1321,386,154,45) -> Matrix(1,0,0,1) Matrix(709,206,1270,369) -> Matrix(1,-2,2,-3) Matrix(99,28,152,43) -> Matrix(1,0,0,1) Matrix(1893,524,1492,413) -> Matrix(1,-2,2,-3) Matrix(1593,440,496,137) -> Matrix(1,-2,2,-3) Matrix(595,164,2536,699) -> Matrix(1,-2,0,1) Matrix(2485,684,396,109) -> Matrix(1,0,0,1) Matrix(497,136,296,81) -> Matrix(1,0,0,1) Matrix(393,106,938,253) -> Matrix(1,0,2,1) Matrix(97,26,-638,-171) -> Matrix(1,0,0,1) Matrix(391,104,688,183) -> Matrix(3,-2,2,-1) Matrix(1077,284,292,77) -> Matrix(1,-2,2,-3) Matrix(489,128,340,89) -> Matrix(1,-2,2,-3) Matrix(191,46,710,171) -> Matrix(1,0,0,1) Matrix(93,22,-706,-167) -> Matrix(1,0,2,1) Matrix(375,88,848,199) -> Matrix(1,0,6,1) Matrix(1219,284,940,219) -> Matrix(1,0,-2,1) Matrix(187,42,138,31) -> Matrix(1,0,0,1) Matrix(91,20,232,51) -> Matrix(1,0,2,1) Matrix(1187,252,504,107) -> Matrix(3,-2,2,-1) Matrix(1917,406,458,97) -> Matrix(9,-8,8,-7) Matrix(6023,1272,4200,887) -> Matrix(1,-4,2,-7) Matrix(363,76,320,67) -> Matrix(1,0,0,1) Matrix(815,168,228,47) -> Matrix(3,-2,2,-1) Matrix(1157,222,714,137) -> Matrix(1,0,0,1) Matrix(2839,536,1732,327) -> Matrix(1,0,2,1) Matrix(87,16,-484,-89) -> Matrix(1,0,2,1) Matrix(1663,296,1972,351) -> Matrix(7,-4,2,-1) Matrix(1399,248,220,39) -> Matrix(3,-2,2,-1) Matrix(347,60,480,83) -> Matrix(5,-4,4,-3) Matrix(257,40,212,33) -> Matrix(1,0,-2,1) Matrix(421,62,550,81) -> Matrix(1,0,0,1) Matrix(1171,162,918,127) -> Matrix(1,0,0,1) Matrix(989,126,2394,305) -> Matrix(1,0,4,1) Matrix(1389,166,410,49) -> Matrix(5,-2,8,-3) Matrix(731,84,1140,131) -> Matrix(5,-4,4,-3) Matrix(481,50,202,21) -> Matrix(1,0,0,1) Matrix(385,-46,226,-27) -> Matrix(1,0,0,1) Matrix(443,-60,96,-13) -> Matrix(3,-2,2,-1) Matrix(251,-38,218,-33) -> Matrix(1,0,0,1) Matrix(2991,-466,2086,-325) -> Matrix(1,-4,2,-7) Matrix(2233,-358,1366,-219) -> Matrix(1,0,6,1) Matrix(123,-22,274,-49) -> Matrix(1,0,2,1) Matrix(303,-56,92,-17) -> Matrix(1,0,0,1) Matrix(119,-26,206,-45) -> Matrix(1,0,0,1) Matrix(645,-148,292,-67) -> Matrix(1,0,0,1) Matrix(525,-122,1958,-455) -> Matrix(1,-2,0,1) Matrix(931,-220,292,-69) -> Matrix(1,0,2,1) Matrix(2845,-684,1044,-251) -> Matrix(1,0,8,1) Matrix(1085,-282,858,-223) -> Matrix(3,-2,8,-5) Matrix(1987,-532,3664,-981) -> Matrix(1,6,2,13) Matrix(2269,-612,3600,-971) -> Matrix(5,4,6,5) Matrix(57,-16,196,-55) -> Matrix(1,0,2,1) Matrix(1669,-492,2724,-803) -> Matrix(5,-2,8,-3) Matrix(2001,-592,916,-271) -> Matrix(5,-2,8,-3) Matrix(389,-116,332,-99) -> Matrix(3,-2,2,-1) Matrix(387,-118,82,-25) -> Matrix(3,-2,2,-1) Matrix(219,-68,248,-77) -> Matrix(1,0,0,1) Matrix(491,-156,192,-61) -> Matrix(1,-2,2,-3) Matrix(1067,-372,588,-205) -> Matrix(3,-2,2,-1) Matrix(531,-188,692,-245) -> Matrix(1,0,0,1) Matrix(1325,-476,476,-171) -> Matrix(1,0,-2,1) Matrix(1323,-478,2062,-745) -> Matrix(5,-4,4,-3) Matrix(1213,-444,948,-347) -> Matrix(3,-2,2,-1) Matrix(2845,-1044,684,-251) -> Matrix(19,-18,18,-17) Matrix(1737,-638,422,-155) -> Matrix(7,-8,8,-9) Matrix(10055,-3698,3842,-1413) -> Matrix(1,0,0,1) Matrix(1471,-544,868,-321) -> Matrix(1,-2,0,1) Matrix(263,-98,314,-117) -> Matrix(1,2,0,1) Matrix(575,-218,182,-69) -> Matrix(1,0,2,1) Matrix(991,-376,340,-129) -> Matrix(3,2,4,3) Matrix(7671,-2914,3130,-1189) -> Matrix(9,4,20,9) Matrix(2557,-972,3312,-1259) -> Matrix(5,2,2,1) Matrix(261,-100,676,-259) -> Matrix(1,0,10,1) Matrix(3113,-1206,1350,-523) -> Matrix(1,0,-6,1) Matrix(2335,-906,3786,-1469) -> Matrix(9,-2,14,-3) Matrix(7589,-3138,4254,-1759) -> Matrix(7,-2,18,-5) Matrix(1477,-612,432,-179) -> Matrix(5,-2,8,-3) Matrix(963,-404,584,-245) -> Matrix(5,-2,8,-3) Matrix(1165,-492,708,-299) -> Matrix(1,0,0,1) Matrix(2933,-1242,810,-343) -> Matrix(7,-4,2,-1) Matrix(959,-408,228,-97) -> Matrix(7,-6,6,-5) Matrix(2763,-1198,1054,-457) -> Matrix(3,-2,2,-1) Matrix(701,-306,126,-55) -> Matrix(1,2,0,1) Matrix(551,-242,1250,-549) -> Matrix(1,0,12,1) Matrix(645,-292,148,-67) -> Matrix(7,-2,4,-1) Matrix(1975,-904,544,-249) -> Matrix(5,-2,-2,1) Matrix(2863,-1314,1998,-917) -> Matrix(17,-8,32,-15) Matrix(1431,-658,2638,-1213) -> Matrix(19,-10,40,-21) Matrix(393,-184,220,-103) -> Matrix(1,0,0,1) Matrix(377,-200,164,-87) -> Matrix(3,-2,2,-1) Matrix(2055,-1112,608,-329) -> Matrix(9,-4,16,-7) Matrix(933,-508,652,-355) -> Matrix(7,-4,16,-9) Matrix(1067,-588,372,-205) -> Matrix(3,-2,8,-5) Matrix(1253,-692,440,-243) -> Matrix(3,-2,2,-1) Matrix(2077,-1162,370,-207) -> Matrix(5,-4,4,-3) Matrix(737,-414,162,-91) -> Matrix(7,-6,6,-5) Matrix(599,-338,1058,-597) -> Matrix(13,-12,12,-11) Matrix(2963,-1718,1754,-1017) -> Matrix(3,-2,2,-1) Matrix(1549,-900,432,-251) -> Matrix(3,-2,2,-1) Matrix(499,-292,364,-213) -> Matrix(1,0,-2,1) Matrix(1269,-748,928,-547) -> Matrix(3,-2,2,-1) Matrix(1311,-776,272,-161) -> Matrix(7,-4,2,-1) Matrix(1165,-708,492,-299) -> Matrix(1,0,-2,1) Matrix(357,-218,470,-287) -> Matrix(3,-2,2,-1) Matrix(2233,-1366,358,-219) -> Matrix(3,-2,2,-1) Matrix(1921,-1176,312,-191) -> Matrix(7,-4,2,-1) Matrix(1383,-848,380,-233) -> Matrix(3,-2,2,-1) Matrix(5211,-3212,1916,-1181) -> Matrix(3,-2,-4,3) Matrix(1869,-1156,1156,-715) -> Matrix(1,0,0,1) Matrix(3201,-1984,1444,-895) -> Matrix(3,-2,8,-5) Matrix(4175,-2594,1154,-717) -> Matrix(7,-4,2,-1) Matrix(6259,-3892,1732,-1077) -> Matrix(5,-4,4,-3) Matrix(1197,-746,422,-263) -> Matrix(3,-2,2,-1) Matrix(309,-194,266,-167) -> Matrix(5,-4,4,-3) Matrix(5123,-3228,4020,-2533) -> Matrix(5,-4,4,-3) Matrix(1943,-1226,794,-501) -> Matrix(7,-6,20,-17) Matrix(309,-196,484,-307) -> Matrix(13,-12,12,-11) Matrix(3599,-2306,2018,-1293) -> Matrix(3,-4,10,-13) Matrix(85,-58,22,-15) -> Matrix(1,0,0,1) Matrix(3047,-2138,2390,-1677) -> Matrix(1,0,0,1) Matrix(929,-654,402,-283) -> Matrix(3,-2,2,-1) Matrix(211,-150,294,-209) -> Matrix(9,-8,8,-7) Matrix(2135,-1538,962,-693) -> Matrix(5,-6,6,-7) Matrix(543,-392,356,-257) -> Matrix(3,-4,4,-5) Matrix(1085,-786,606,-439) -> Matrix(3,-4,4,-5) Matrix(499,-364,292,-213) -> Matrix(1,-2,2,-3) Matrix(995,-732,768,-565) -> Matrix(1,-2,0,1) Matrix(207,-154,82,-61) -> Matrix(1,-2,2,-3) Matrix(1797,-1372,1408,-1075) -> Matrix(1,0,2,1) Matrix(933,-722,650,-503) -> Matrix(1,-2,2,-3) Matrix(81,-64,100,-79) -> Matrix(3,-2,2,-1) Matrix(1027,-844,376,-309) -> Matrix(1,-2,2,-3) Matrix(2169,-1790,1322,-1091) -> Matrix(1,0,2,1) Matrix(389,-332,116,-99) -> Matrix(1,0,2,1) Matrix(303,-274,94,-85) -> Matrix(1,-2,2,-3) Matrix(715,-796,256,-285) -> Matrix(1,0,4,1) Matrix(1289,-1518,546,-643) -> Matrix(1,-2,0,1) Matrix(263,-314,98,-117) -> Matrix(1,2,0,1) Matrix(2079,-2528,764,-929) -> Matrix(1,0,-2,1) Matrix(1947,-2372,536,-653) -> Matrix(1,0,0,1) Matrix(1163,-1430,710,-873) -> Matrix(1,0,4,1) Matrix(161,-200,128,-159) -> Matrix(1,0,4,1) Matrix(3783,-4786,826,-1045) -> Matrix(19,-8,12,-5) Matrix(5869,-7452,3600,-4571) -> Matrix(1,0,0,1) Matrix(3139,-3990,2298,-2921) -> Matrix(3,-2,2,-1) Matrix(1549,-1978,538,-687) -> Matrix(3,-2,8,-5) Matrix(2083,-2668,616,-789) -> Matrix(1,-4,2,-7) Matrix(879,-1136,236,-305) -> Matrix(1,0,0,1) Matrix(531,-692,188,-245) -> Matrix(1,0,0,1) Matrix(5417,-7398,2070,-2827) -> Matrix(3,-2,2,-1) Matrix(303,-418,166,-229) -> Matrix(1,0,2,1) Matrix(331,-460,136,-189) -> Matrix(1,0,4,1) Matrix(179,-254,74,-105) -> Matrix(1,0,-2,1) Matrix(1295,-1874,794,-1149) -> Matrix(1,0,0,1) Matrix(881,-1278,162,-235) -> Matrix(3,-2,2,-1) Matrix(791,-1154,146,-213) -> Matrix(7,-2,4,-1) Matrix(1783,-2610,774,-1133) -> Matrix(5,-2,-2,1) Matrix(1049,-1544,320,-471) -> Matrix(3,-2,2,-1) Matrix(1447,-2224,568,-873) -> Matrix(1,2,2,5) Matrix(1105,-1702,298,-459) -> Matrix(1,2,0,1) Matrix(283,-438,42,-65) -> Matrix(1,2,0,1) Matrix(309,-484,196,-307) -> Matrix(1,0,6,1) Matrix(2009,-3174,726,-1147) -> Matrix(1,0,-4,1) Matrix(1981,-3132,432,-683) -> Matrix(11,-2,6,-1) Matrix(1601,-2574,594,-955) -> Matrix(5,-2,-2,1) Matrix(1821,-2932,772,-1243) -> Matrix(7,-4,2,-1) Matrix(2585,-4182,798,-1291) -> Matrix(5,-4,4,-3) Matrix(3465,-5608,1072,-1735) -> Matrix(3,-4,4,-5) Matrix(3021,-4898,1154,-1871) -> Matrix(5,-4,4,-3) Matrix(713,-1160,260,-423) -> Matrix(1,0,0,1) Matrix(5557,-9058,1246,-2031) -> Matrix(3,-2,2,-1) Matrix(1669,-2724,492,-803) -> Matrix(1,-2,2,-3) Matrix(5495,-8978,3362,-5493) -> Matrix(1,0,10,1) Matrix(3025,-4966,1186,-1947) -> Matrix(13,-6,24,-11) Matrix(2677,-4524,816,-1379) -> Matrix(1,-2,0,1) Matrix(6683,-11390,1850,-3153) -> Matrix(3,-2,2,-1) Matrix(2315,-3948,852,-1453) -> Matrix(1,0,-2,1) Matrix(211,-364,40,-69) -> Matrix(3,-2,2,-1) Matrix(449,-776,92,-159) -> Matrix(1,0,0,1) Matrix(1687,-2922,474,-821) -> Matrix(3,4,2,3) Matrix(3237,-5620,868,-1507) -> Matrix(1,0,0,1) Matrix(599,-1058,338,-597) -> Matrix(1,0,6,1) Matrix(569,-1014,78,-139) -> Matrix(3,-2,2,-1) Matrix(2559,-4568,1112,-1985) -> Matrix(3,-2,2,-1) Matrix(2251,-4086,882,-1601) -> Matrix(1,-4,2,-7) Matrix(25,-48,12,-23) -> Matrix(1,0,0,1) Matrix(681,-1478,182,-395) -> Matrix(1,0,0,1) Matrix(1313,-2862,306,-667) -> Matrix(7,-2,4,-1) Matrix(267,-596,56,-125) -> Matrix(3,-2,2,-1) Matrix(551,-1250,242,-549) -> Matrix(7,-6,6,-5) Matrix(11729,-27006,2562,-5899) -> Matrix(3,-32,2,-21) Matrix(2301,-5476,724,-1723) -> Matrix(1,0,0,1) Matrix(1615,-3856,436,-1041) -> Matrix(3,-2,2,-1) Matrix(3879,-9514,1522,-3733) -> Matrix(15,-8,32,-17) Matrix(645,-1586,146,-359) -> Matrix(5,-4,4,-3) Matrix(31201,-79536,6816,-17375) -> Matrix(235,-116,156,-77) Matrix(14949,-38114,3266,-8327) -> Matrix(113,-58,76,-39) Matrix(727,-1864,172,-441) -> Matrix(7,-6,6,-5) Matrix(261,-676,100,-259) -> Matrix(7,-6,6,-5) Matrix(2447,-6410,686,-1797) -> Matrix(13,-18,8,-11) Matrix(97,-262,10,-27) -> Matrix(1,2,0,1) Matrix(4583,-12482,1682,-4581) -> Matrix(1,0,14,1) Matrix(1253,-3426,222,-607) -> Matrix(3,-2,2,-1) Matrix(763,-2116,172,-477) -> Matrix(3,-2,2,-1) Matrix(2015,-5618,722,-2013) -> Matrix(1,0,8,1) Matrix(501,-1588,112,-355) -> Matrix(3,-2,2,-1) Matrix(253,-826,34,-111) -> Matrix(1,2,0,1) Matrix(113,-392,32,-111) -> Matrix(7,-6,6,-5) Matrix(3249,-11582,710,-2531) -> Matrix(23,-36,16,-25) Matrix(625,-2254,94,-339) -> Matrix(1,0,0,1) Matrix(2783,-10394,494,-1845) -> Matrix(3,-2,2,-1) Matrix(219,-934,34,-145) -> Matrix(1,-2,2,-3) Matrix(1835,-7886,326,-1401) -> Matrix(1,0,0,1) Matrix(441,-1936,100,-439) -> Matrix(3,-2,2,-1) Matrix(33,-256,4,-31) -> Matrix(1,-2,0,1) 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): 61 Degree of the the map X: 61 Degree of the the map Y: 288 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. ----------------------------------------------------------------------- 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 -1/1 0/1 1 1 0/1 (0/1,1/1) 0 36 1/8 0/1 1 4 1/7 0/1 1 9 2/13 0 12 3/19 0 18 1/6 1/2 1 36 2/11 (0/1,1/2) 0 36 1/5 0/1 1 6 2/9 (1/1,1/0) 0 36 3/13 1/1 1 9 7/30 1/0 1 36 4/17 0 12 5/21 0 18 1/4 1/2 1 36 4/15 (2/1,1/0) 0 36 7/26 0 12 3/11 0 18 2/7 0/1 2 4 5/17 0 18 13/44 0 12 8/27 (2/5,1/2) 0 36 3/10 1/2 1 36 4/13 (1/2,1/1) 0 36 5/16 0 12 1/3 0/1 1 9 6/17 (0/1,1/1) 0 36 5/14 1/0 1 36 9/25 0 18 4/11 0 12 11/30 5/6 1 36 29/79 1/1 13 1 18/49 (1/1,8/7) 0 36 7/19 0 18 10/27 (0/1,1/0) 0 36 3/8 1/0 1 36 11/29 -1/1 1 9 30/79 (-8/15,-1/2) 0 36 19/50 0 12 8/21 (-1/3,0/1) 0 36 5/13 0/1 5 2 2/5 (0/1,1/2) 0 36 5/12 1/2 1 36 8/19 1/2 2 4 11/26 1/2 1 36 14/33 (2/3,1/1) 0 36 3/7 0 18 10/23 0 12 7/16 -1/2 1 36 11/25 0/1 6 1 4/9 (0/1,1/4) 0 36 9/20 1/4 1 36 5/11 1/3 1 9 11/24 1/2 1 36 17/37 1/2 11 2 6/13 (1/2,2/3) 0 36 1/2 0 12 7/13 0/1 1 9 13/24 1/2 1 36 19/35 1/2 11 2 6/11 (1/2,3/5) 0 36 5/9 0 18 14/25 0 12 9/16 5/6 1 36 13/23 1/1 6 1 4/7 (1/1,1/0) 0 36 11/19 0/1 1 6 18/31 (0/1,1/1) 0 36 7/12 1/2 1 36 10/17 1/2 2 4 13/22 1/2 1 36 3/5 1/1 1 9 14/23 (2/5,1/2) 0 36 11/18 1/2 1 36 41/67 1/2 1 1 30/49 (1/2,2/3) 0 36 19/31 0 18 8/13 0 12 21/34 3/4 1 36 13/21 0 18 18/29 (2/3,1/1) 0 36 23/37 2/3 1 3 28/45 (2/3,1/1) 0 36 5/8 3/4 1 36 17/27 4/5 1 9 29/46 0 12 12/19 (6/7,1/1) 0 36 7/11 1/1 6 2 2/3 (0/1,1/1) 0 36 7/10 1/2 1 36 26/37 1/2 2 4 19/27 0 18 12/17 (2/3,1/1) 0 36 5/7 1/1 4 3 18/25 (1/1,6/5) 0 36 31/43 0 18 13/18 5/4 1 36 8/11 (3/2,2/1) 0 36 11/15 0 18 14/19 0 12 3/4 1/0 1 36 16/21 (4/1,1/0) 0 36 13/17 0/1 1 6 10/13 (0/1,1/1) 0 36 17/22 0 12 7/9 0/1 1 9 4/5 1/1 2 4 9/11 2/1 1 9 14/17 (2/1,3/1) 0 36 5/6 1/0 1 36 16/19 (2/1,1/0) 0 36 11/13 1/0 5 3 6/7 (0/1,1/0) 0 36 1/1 0 18 8/7 0 12 15/13 0/1 1 9 7/6 1/0 1 36 20/17 (4/1,1/0) 0 36 13/11 1/0 5 3 6/5 (-1/1,1/0) 0 36 11/9 -1/1 1 9 16/13 (-1/1,0/1) 0 36 5/4 0/1 2 4 24/19 (0/1,1/3) 0 36 19/15 0 18 14/11 (0/1,1/1) 0 36 37/29 0/1 1 6 60/47 (4/9,1/2) 0 36 23/18 3/4 1 36 32/25 0 12 9/7 0/1 1 9 22/17 0 12 13/10 1/2 1 36 4/3 (0/1,1/0) 0 36 11/8 1/0 1 36 18/13 (-1/1,0/1) 0 36 7/5 0/1 3 3 10/7 (1/3,1/2) 0 36 13/9 0 18 29/20 1/0 1 36 16/11 0/1 2 4 19/13 1/3 1 9 22/15 (1/2,6/11) 0 36 3/2 1/0 1 36 23/15 0 18 20/13 0 12 17/11 0/1 1 9 14/9 (-1/1,0/1) 0 36 11/7 0/1 3 2 8/5 (0/1,1/2) 0 36 21/13 0 18 55/34 3/4 1 36 89/55 1/1 4 1 34/21 (1/1,1/0) 0 36 13/8 0 12 44/27 (0/1,1/1) 0 36 75/46 1/0 1 36 31/19 0 18 49/30 -1/2 1 36 67/41 0/1 5 1 18/11 (0/1,1/3) 0 36 41/25 1/3 1 6 23/14 1/2 1 36 5/3 1/1 1 9 22/13 (-2/1,1/0) 0 36 17/10 0/1 1 4 46/27 (0/1,1/1) 0 36 75/44 1/0 1 36 29/17 0 18 12/7 (0/1,1/0) 0 36 19/11 1/1 1 6 45/26 1/0 1 36 26/15 (-1/1,0/1) 0 36 7/4 1/0 1 36 23/13 0/1 3 1 16/9 (0/1,1/3) 0 36 41/23 0/1 1 9 25/14 0 12 9/5 0 18 20/11 (0/1,1/1) 0 36 11/6 1/2 1 36 2/1 0 12 13/6 1/2 1 36 37/17 0/1 1 2 24/11 (0/1,1/2) 0 36 11/5 1/1 1 9 20/9 (0/1,1/1) 0 36 9/4 1/2 1 36 25/11 1/1 3 1 16/7 (1/1,2/1) 0 36 23/10 0 12 30/13 (0/1,1/1) 0 36 7/3 0 18 26/11 (2/1,1/0) 0 36 19/8 0/1 1 4 31/13 0/1 1 9 12/5 (1/1,1/0) 0 36 17/7 0/1 3 3 22/9 (0/1,1/3) 0 36 49/20 0 12 76/31 (12/25,1/2) 0 36 27/11 0 18 5/2 1/2 1 36 28/11 0 12 79/31 0 18 130/51 (20/41,1/2) 0 36 181/71 1/2 29 1 51/20 1/2 1 36 23/9 2/3 1 9 41/16 0 12 18/7 (2/3,1/1) 0 36 13/5 1/1 3 2 8/3 (1/1,1/0) 0 36 35/13 1/0 5 3 27/10 1/0 1 36 19/7 0 18 49/18 -1/4 1 36 79/29 0/1 7 1 30/11 (0/1,1/3) 0 36 41/15 0/1 1 9 52/19 (0/1,1/1) 0 36 11/4 0 12 36/13 (0/1,1/1) 0 36 25/9 0 18 39/14 -1/2 1 36 53/19 0/1 4 1 14/5 (0/1,1/2) 0 36 17/6 1/2 1 36 20/7 0/1 2 4 3/1 1/1 1 9 19/6 1/2 1 36 35/11 0 18 16/5 0 12 13/4 1/0 1 36 36/11 (0/1,1/1) 0 36 23/7 0/1 1 6 10/3 (0/1,1/2) 0 36 37/11 1/2 5 3 27/8 1/2 1 36 71/21 4/7 1 9 44/13 0 12 17/5 0 18 24/7 (2/3,1/1) 0 36 7/2 1/1 3 4 32/9 (1/1,4/3) 0 36 57/16 3/2 1 36 25/7 2/1 1 9 18/5 (1/1,2/1) 0 36 65/18 3/2 1 36 112/31 (1/1,2/1) 0 36 47/13 2/1 1 3 76/21 (2/1,3/1) 0 36 29/8 1/0 1 36 40/11 0 12 11/3 0 18 26/7 0 12 41/11 0/1 1 9 56/15 (0/1,1/1) 0 36 71/19 0/1 1 2 15/4 1/2 1 36 4/1 (0/1,1/1) 0 36 21/5 0 18 38/9 (1/1,4/3) 0 36 17/4 0 12 30/7 (3/2,2/1) 0 36 13/3 1/1 1 9 35/8 1/0 1 36 22/5 1/1 2 4 53/12 3/2 1 36 31/7 0 18 40/9 (1/1,2/1) 0 36 9/2 1/0 1 36 32/7 0 12 23/5 2/1 1 9 14/3 (1/1,1/0) 0 36 19/4 1/0 1 36 24/5 (1/1,2/1) 0 36 5/1 1/1 1 6 16/3 (3/2,2/1) 0 36 11/2 3/2 1 36 6/1 (2/1,1/0) 0 36 19/3 0 18 13/2 0 12 20/3 (1/1,2/1) 0 36 7/1 2/1 1 9 22/3 (2/1,3/1) 0 36 15/2 1/0 1 36 8/1 1/0 2 4 9/1 0 18 1/0 1/0 1 36 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(-1,0,2,1) (-1/1,0/1) -> (-1/1,0/1) Reflection Matrix(385,-46,226,-27) (0/1,1/8) -> (17/10,46/27) Hyperbolic Matrix(381,-50,160,-21) (1/8,1/7) -> (19/8,31/13) Glide Reflection Matrix(251,-38,218,-33) (1/7,2/13) -> (8/7,15/13) Hyperbolic Matrix(1057,-166,312,-49) (2/13,3/19) -> (44/13,17/5) Glide Reflection Matrix(1117,-178,684,-109) (3/19,1/6) -> (31/19,49/30) Glide Reflection Matrix(123,-22,274,-49) (1/6,2/11) -> (4/9,9/20) Hyperbolic Matrix(303,-56,92,-17) (2/11,1/5) -> (23/7,10/3) Hyperbolic Matrix(119,-26,206,-45) (1/5,2/9) -> (4/7,11/19) Hyperbolic Matrix(177,-40,146,-33) (2/9,3/13) -> (6/5,11/9) Glide Reflection Matrix(293,-68,642,-149) (3/13,7/30) -> (5/11,11/24) Glide Reflection Matrix(1693,-396,466,-109) (7/30,4/17) -> (29/8,40/11) Glide Reflection Matrix(931,-220,292,-69) (4/17,5/21) -> (35/11,16/5) Hyperbolic Matrix(1105,-264,406,-97) (5/21,1/4) -> (19/7,49/18) Glide Reflection Matrix(227,-60,314,-83) (1/4,4/15) -> (13/18,8/11) Glide Reflection Matrix(171,-46,368,-99) (4/15,7/26) -> (6/13,1/2) Glide Reflection Matrix(509,-138,284,-77) (7/26,3/11) -> (25/14,9/5) Glide Reflection Matrix(57,-16,196,-55) (3/11,2/7) -> (2/7,5/17) Parabolic Matrix(1057,-312,166,-49) (5/17,13/44) -> (19/3,13/2) Glide Reflection Matrix(1779,-526,416,-123) (13/44,8/27) -> (17/4,30/7) Glide Reflection Matrix(389,-116,332,-99) (8/27,3/10) -> (7/6,20/17) Hyperbolic Matrix(387,-118,82,-25) (3/10,4/13) -> (14/3,19/4) Hyperbolic Matrix(713,-222,440,-137) (4/13,5/16) -> (34/21,13/8) Glide Reflection Matrix(491,-156,192,-61) (5/16,1/3) -> (23/9,41/16) Hyperbolic Matrix(479,-168,134,-47) (1/3,6/17) -> (25/7,18/5) Glide Reflection Matrix(371,-132,638,-227) (6/17,5/14) -> (18/31,7/12) Glide Reflection Matrix(1325,-476,476,-171) (5/14,9/25) -> (25/9,39/14) Hyperbolic Matrix(211,-76,186,-67) (9/25,4/11) -> (1/1,8/7) Glide Reflection Matrix(1213,-444,948,-347) (4/11,11/30) -> (23/18,32/25) Hyperbolic Matrix(1739,-638,4740,-1739) (11/30,29/79) -> (11/30,29/79) Reflection Matrix(2843,-1044,7742,-2843) (29/79,18/49) -> (29/79,18/49) Reflection Matrix(1105,-406,264,-97) (18/49,7/19) -> (4/1,21/5) Glide Reflection Matrix(683,-252,290,-107) (7/19,10/27) -> (7/3,26/11) Glide Reflection Matrix(263,-98,314,-117) (10/27,3/8) -> (5/6,16/19) Hyperbolic Matrix(575,-218,182,-69) (3/8,11/29) -> (3/1,19/6) Hyperbolic Matrix(2139,-812,1462,-555) (11/29,30/79) -> (19/13,22/15) Glide Reflection Matrix(7671,-2914,3130,-1189) (30/79,19/50) -> (49/20,76/31) Hyperbolic Matrix(1983,-754,860,-327) (19/50,8/21) -> (23/10,30/13) Glide Reflection Matrix(209,-80,546,-209) (8/21,5/13) -> (8/21,5/13) Reflection Matrix(51,-20,130,-51) (5/13,2/5) -> (5/13,2/5) Reflection Matrix(103,-42,76,-31) (2/5,5/12) -> (4/3,11/8) Glide Reflection Matrix(253,-106,432,-181) (5/12,8/19) -> (7/12,10/17) Glide Reflection Matrix(507,-214,860,-363) (8/19,11/26) -> (10/17,13/22) Glide Reflection Matrix(2933,-1242,810,-343) (11/26,14/33) -> (76/21,29/8) Hyperbolic Matrix(959,-408,228,-97) (14/33,3/7) -> (21/5,38/9) Hyperbolic Matrix(351,-152,478,-207) (3/7,10/23) -> (11/15,14/19) Glide Reflection Matrix(651,-284,502,-219) (10/23,7/16) -> (22/17,13/10) Glide Reflection Matrix(351,-154,800,-351) (7/16,11/25) -> (7/16,11/25) Reflection Matrix(199,-88,450,-199) (11/25,4/9) -> (11/25,4/9) Reflection Matrix(645,-292,148,-67) (9/20,5/11) -> (13/3,35/8) Hyperbolic Matrix(937,-430,1728,-793) (11/24,17/37) -> (13/24,19/35) Glide Reflection Matrix(443,-204,962,-443) (17/37,6/13) -> (17/37,6/13) Reflection Matrix(235,-126,304,-163) (1/2,7/13) -> (17/22,7/9) Glide Reflection Matrix(2055,-1112,608,-329) (7/13,13/24) -> (27/8,71/21) Hyperbolic Matrix(419,-228,770,-419) (19/35,6/11) -> (19/35,6/11) Reflection Matrix(233,-128,162,-89) (6/11,5/9) -> (10/7,13/9) Glide Reflection Matrix(509,-284,138,-77) (5/9,14/25) -> (11/3,26/7) Glide Reflection Matrix(737,-414,162,-91) (14/25,9/16) -> (9/2,32/7) Hyperbolic Matrix(415,-234,736,-415) (9/16,13/23) -> (9/16,13/23) Reflection Matrix(183,-104,322,-183) (13/23,4/7) -> (13/23,4/7) Reflection Matrix(593,-344,774,-449) (11/19,18/31) -> (13/17,10/13) Glide Reflection Matrix(225,-134,136,-81) (13/22,3/5) -> (23/14,5/3) Glide Reflection Matrix(225,-136,134,-81) (3/5,14/23) -> (5/3,22/13) Glide Reflection Matrix(357,-218,470,-287) (14/23,11/18) -> (3/4,16/21) Hyperbolic Matrix(1475,-902,2412,-1475) (11/18,41/67) -> (11/18,41/67) Reflection Matrix(4019,-2460,6566,-4019) (41/67,30/49) -> (41/67,30/49) Reflection Matrix(1117,-684,178,-109) (30/49,19/31) -> (6/1,19/3) Glide Reflection Matrix(1383,-848,380,-233) (19/31,8/13) -> (40/11,11/3) Hyperbolic Matrix(713,-440,222,-137) (8/13,21/34) -> (16/5,13/4) Glide Reflection Matrix(1869,-1156,1156,-715) (21/34,13/21) -> (21/13,55/34) Hyperbolic Matrix(845,-524,666,-413) (13/21,18/29) -> (19/15,14/11) Glide Reflection Matrix(4175,-2594,1154,-717) (18/29,23/37) -> (47/13,76/21) Hyperbolic Matrix(6259,-3892,1732,-1077) (23/37,28/45) -> (112/31,47/13) Hyperbolic Matrix(3727,-2320,2286,-1423) (28/45,5/8) -> (44/27,75/46) Glide Reflection Matrix(309,-194,266,-167) (5/8,17/27) -> (15/13,7/6) Hyperbolic Matrix(2561,-1614,1436,-905) (17/27,29/46) -> (41/23,25/14) Glide Reflection Matrix(1943,-1226,794,-501) (29/46,12/19) -> (22/9,49/20) Hyperbolic Matrix(265,-168,418,-265) (12/19,7/11) -> (12/19,7/11) Reflection Matrix(43,-28,66,-43) (7/11,2/3) -> (7/11,2/3) Reflection Matrix(85,-58,22,-15) (2/3,7/10) -> (15/4,4/1) Hyperbolic Matrix(635,-446,84,-59) (7/10,26/37) -> (15/2,8/1) Glide Reflection Matrix(549,-386,64,-45) (26/37,19/27) -> (8/1,9/1) Glide Reflection Matrix(929,-654,402,-283) (19/27,12/17) -> (30/13,7/3) Hyperbolic Matrix(211,-150,294,-209) (12/17,5/7) -> (5/7,18/25) Parabolic Matrix(1507,-1086,1192,-859) (18/25,31/43) -> (24/19,19/15) Glide Reflection Matrix(543,-392,356,-257) (31/43,13/18) -> (3/2,23/15) Hyperbolic Matrix(499,-364,292,-213) (8/11,11/15) -> (29/17,12/7) Hyperbolic Matrix(207,-154,82,-61) (14/19,3/4) -> (5/2,28/11) Hyperbolic Matrix(1797,-1372,1408,-1075) (16/21,13/17) -> (37/29,60/47) Hyperbolic Matrix(651,-502,284,-219) (10/13,17/22) -> (16/7,23/10) Glide Reflection Matrix(81,-64,100,-79) (7/9,4/5) -> (4/5,9/11) Parabolic Matrix(1027,-844,376,-309) (9/11,14/17) -> (30/11,41/15) Hyperbolic Matrix(275,-228,158,-131) (14/17,5/6) -> (26/15,7/4) Glide Reflection Matrix(507,-428,430,-363) (16/19,11/13) -> (20/17,13/11) Glide Reflection Matrix(389,-332,116,-99) (11/13,6/7) -> (10/3,37/11) Hyperbolic Matrix(155,-134,96,-83) (6/7,1/1) -> (8/5,21/13) Glide Reflection Matrix(263,-314,98,-117) (13/11,6/5) -> (8/3,35/13) Hyperbolic Matrix(323,-396,146,-179) (11/9,16/13) -> (11/5,20/9) Glide Reflection Matrix(161,-200,128,-159) (16/13,5/4) -> (5/4,24/19) Parabolic Matrix(1297,-1654,396,-505) (14/11,37/29) -> (36/11,23/7) Glide Reflection Matrix(537,-686,364,-465) (60/47,23/18) -> (22/15,3/2) Glide Reflection Matrix(2083,-2668,616,-789) (32/25,9/7) -> (71/21,44/13) Hyperbolic Matrix(879,-1136,236,-305) (9/7,22/17) -> (26/7,41/11) Hyperbolic Matrix(93,-122,16,-21) (13/10,4/3) -> (11/2,6/1) Glide Reflection Matrix(303,-418,166,-229) (11/8,18/13) -> (20/11,11/6) Hyperbolic Matrix(331,-460,136,-189) (18/13,7/5) -> (17/7,22/9) Hyperbolic Matrix(179,-254,74,-105) (7/5,10/7) -> (12/5,17/7) Hyperbolic Matrix(1295,-1874,794,-1149) (13/9,29/20) -> (75/46,31/19) Hyperbolic Matrix(587,-852,206,-299) (29/20,16/11) -> (17/6,20/7) Glide Reflection Matrix(293,-428,102,-149) (16/11,19/13) -> (20/7,3/1) Glide Reflection Matrix(1447,-2224,568,-873) (23/15,20/13) -> (28/11,79/31) Hyperbolic Matrix(651,-1004,142,-219) (20/13,17/11) -> (32/7,23/5) Glide Reflection Matrix(283,-438,42,-65) (17/11,14/9) -> (20/3,7/1) Hyperbolic Matrix(197,-308,126,-197) (14/9,11/7) -> (14/9,11/7) Reflection Matrix(111,-176,70,-111) (11/7,8/5) -> (11/7,8/5) Reflection Matrix(6051,-9790,3740,-6051) (55/34,89/55) -> (55/34,89/55) Reflection Matrix(3739,-6052,2310,-3739) (89/55,34/21) -> (89/55,34/21) Reflection Matrix(713,-1160,260,-423) (13/8,44/27) -> (52/19,11/4) Hyperbolic Matrix(4019,-6566,2460,-4019) (49/30,67/41) -> (49/30,67/41) Reflection Matrix(1475,-2412,902,-1475) (67/41,18/11) -> (67/41,18/11) Reflection Matrix(655,-1074,136,-223) (18/11,41/25) -> (24/5,5/1) Glide Reflection Matrix(1391,-2282,804,-1319) (41/25,23/14) -> (19/11,45/26) Glide Reflection Matrix(507,-860,214,-363) (22/13,17/10) -> (26/11,19/8) Glide Reflection Matrix(6683,-11390,1850,-3153) (46/27,75/44) -> (65/18,112/31) Hyperbolic Matrix(1863,-3176,586,-999) (75/44,29/17) -> (19/6,35/11) Glide Reflection Matrix(211,-364,40,-69) (12/7,19/11) -> (5/1,16/3) Hyperbolic Matrix(1687,-2922,474,-821) (45/26,26/15) -> (32/9,57/16) Hyperbolic Matrix(183,-322,104,-183) (7/4,23/13) -> (7/4,23/13) Reflection Matrix(415,-736,234,-415) (23/13,16/9) -> (23/13,16/9) Reflection Matrix(569,-1014,78,-139) (16/9,41/23) -> (7/1,22/3) Hyperbolic Matrix(307,-556,90,-163) (9/5,20/11) -> (17/5,24/7) Glide Reflection Matrix(25,-48,12,-23) (11/6,2/1) -> (2/1,13/6) Parabolic Matrix(681,-1478,182,-395) (13/6,37/17) -> (71/19,15/4) Hyperbolic Matrix(815,-1776,374,-815) (37/17,24/11) -> (37/17,24/11) Reflection Matrix(293,-642,68,-149) (24/11,11/5) -> (30/7,13/3) Glide Reflection Matrix(267,-596,56,-125) (20/9,9/4) -> (19/4,24/5) Hyperbolic Matrix(199,-450,88,-199) (9/4,25/11) -> (9/4,25/11) Reflection Matrix(351,-800,154,-351) (25/11,16/7) -> (25/11,16/7) Reflection Matrix(297,-710,64,-153) (31/13,12/5) -> (23/5,14/3) Glide Reflection Matrix(3879,-9514,1522,-3733) (76/31,27/11) -> (79/31,130/51) Hyperbolic Matrix(645,-1586,146,-359) (27/11,5/2) -> (53/12,31/7) Hyperbolic Matrix(18461,-47060,7242,-18461) (130/51,181/71) -> (130/51,181/71) Reflection Matrix(7241,-18462,2840,-7241) (181/71,51/20) -> (181/71,51/20) Reflection Matrix(1013,-2586,284,-725) (51/20,23/9) -> (57/16,25/7) Glide Reflection Matrix(727,-1864,172,-441) (41/16,18/7) -> (38/9,17/4) Hyperbolic Matrix(181,-468,70,-181) (18/7,13/5) -> (18/7,13/5) Reflection Matrix(79,-208,30,-79) (13/5,8/3) -> (13/5,8/3) Reflection Matrix(721,-1944,214,-577) (35/13,27/10) -> (37/11,27/8) Glide Reflection Matrix(97,-262,10,-27) (27/10,19/7) -> (9/1,1/0) Hyperbolic Matrix(2843,-7742,1044,-2843) (49/18,79/29) -> (49/18,79/29) Reflection Matrix(1739,-4740,638,-1739) (79/29,30/11) -> (79/29,30/11) Reflection Matrix(1619,-4428,434,-1187) (41/15,52/19) -> (41/11,56/15) Glide Reflection Matrix(249,-688,38,-105) (11/4,36/13) -> (13/2,20/3) Glide Reflection Matrix(763,-2116,172,-477) (36/13,25/9) -> (31/7,40/9) Hyperbolic Matrix(1483,-4134,532,-1483) (39/14,53/19) -> (39/14,53/19) Reflection Matrix(531,-1484,190,-531) (53/19,14/5) -> (53/19,14/5) Reflection Matrix(151,-426,28,-79) (14/5,17/6) -> (16/3,11/2) Glide Reflection Matrix(253,-826,34,-111) (13/4,36/11) -> (22/3,15/2) Hyperbolic Matrix(113,-392,32,-111) (24/7,7/2) -> (7/2,32/9) Parabolic Matrix(765,-2762,172,-621) (18/5,65/18) -> (40/9,9/2) Glide Reflection Matrix(2129,-7952,570,-2129) (56/15,71/19) -> (56/15,71/19) Reflection Matrix(441,-1936,100,-439) (35/8,22/5) -> (22/5,53/12) Parabolic IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,0,-1) (-1/1,1/0) -> (0/1,1/0) Matrix(-1,0,2,1) -> Matrix(1,0,2,-1) (-1/1,0/1) -> (0/1,1/1) Matrix(385,-46,226,-27) -> Matrix(1,0,0,1) Matrix(381,-50,160,-21) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(251,-38,218,-33) -> Matrix(1,0,0,1) Matrix(1057,-166,312,-49) -> Matrix(1,2,2,3) Matrix(1117,-178,684,-109) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(123,-22,274,-49) -> Matrix(1,0,2,1) 0/1 Matrix(303,-56,92,-17) -> Matrix(1,0,0,1) Matrix(119,-26,206,-45) -> Matrix(1,0,0,1) Matrix(177,-40,146,-33) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(293,-68,642,-149) -> Matrix(1,-2,2,-5) Matrix(1693,-396,466,-109) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(931,-220,292,-69) -> Matrix(1,0,2,1) 0/1 Matrix(1105,-264,406,-97) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(227,-60,314,-83) -> Matrix(3,-4,2,-3) *** -> (1/1,2/1) Matrix(171,-46,368,-99) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(509,-138,284,-77) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(57,-16,196,-55) -> Matrix(1,0,2,1) 0/1 Matrix(1057,-312,166,-49) -> Matrix(5,-2,2,-1) Matrix(1779,-526,416,-123) -> Matrix(11,-4,8,-3) Matrix(389,-116,332,-99) -> Matrix(3,-2,2,-1) 1/1 Matrix(387,-118,82,-25) -> Matrix(3,-2,2,-1) 1/1 Matrix(713,-222,440,-137) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(491,-156,192,-61) -> Matrix(1,-2,2,-3) 1/1 Matrix(479,-168,134,-47) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(371,-132,638,-227) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1325,-476,476,-171) -> Matrix(1,0,-2,1) 0/1 Matrix(211,-76,186,-67) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1213,-444,948,-347) -> Matrix(3,-2,2,-1) 1/1 Matrix(1739,-638,4740,-1739) -> Matrix(11,-10,12,-11) (11/30,29/79) -> (5/6,1/1) Matrix(2843,-1044,7742,-2843) -> Matrix(15,-16,14,-15) (29/79,18/49) -> (1/1,8/7) Matrix(1105,-406,264,-97) -> Matrix(7,-8,6,-7) *** -> (1/1,4/3) Matrix(683,-252,290,-107) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(263,-98,314,-117) -> Matrix(1,2,0,1) 1/0 Matrix(575,-218,182,-69) -> Matrix(1,0,2,1) 0/1 Matrix(2139,-812,1462,-555) -> Matrix(3,2,8,5) Matrix(7671,-2914,3130,-1189) -> Matrix(9,4,20,9) Matrix(1983,-754,860,-327) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(209,-80,546,-209) -> Matrix(-1,0,6,1) (8/21,5/13) -> (-1/3,0/1) Matrix(51,-20,130,-51) -> Matrix(1,0,4,-1) (5/13,2/5) -> (0/1,1/2) Matrix(103,-42,76,-31) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(253,-106,432,-181) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(507,-214,860,-363) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(2933,-1242,810,-343) -> Matrix(7,-4,2,-1) Matrix(959,-408,228,-97) -> Matrix(7,-6,6,-5) 1/1 Matrix(351,-152,478,-207) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(651,-284,502,-219) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(351,-154,800,-351) -> Matrix(-1,0,4,1) (7/16,11/25) -> (-1/2,0/1) Matrix(199,-88,450,-199) -> Matrix(1,0,8,-1) (11/25,4/9) -> (0/1,1/4) Matrix(645,-292,148,-67) -> Matrix(7,-2,4,-1) Matrix(937,-430,1728,-793) -> Matrix(13,-6,28,-13) *** -> (3/7,1/2) Matrix(443,-204,962,-443) -> Matrix(7,-4,12,-7) (17/37,6/13) -> (1/2,2/3) Matrix(235,-126,304,-163) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(2055,-1112,608,-329) -> Matrix(9,-4,16,-7) 1/2 Matrix(419,-228,770,-419) -> Matrix(11,-6,20,-11) (19/35,6/11) -> (1/2,3/5) Matrix(233,-128,162,-89) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(509,-284,138,-77) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(737,-414,162,-91) -> Matrix(7,-6,6,-5) 1/1 Matrix(415,-234,736,-415) -> Matrix(11,-10,12,-11) (9/16,13/23) -> (5/6,1/1) Matrix(183,-104,322,-183) -> Matrix(-1,2,0,1) (13/23,4/7) -> (1/1,1/0) Matrix(593,-344,774,-449) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(225,-134,136,-81) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(225,-136,134,-81) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(357,-218,470,-287) -> Matrix(3,-2,2,-1) 1/1 Matrix(1475,-902,2412,-1475) -> Matrix(3,-2,4,-3) (11/18,41/67) -> (1/2,1/1) Matrix(4019,-2460,6566,-4019) -> Matrix(7,-4,12,-7) (41/67,30/49) -> (1/2,2/3) Matrix(1117,-684,178,-109) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1383,-848,380,-233) -> Matrix(3,-2,2,-1) 1/1 Matrix(713,-440,222,-137) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(1869,-1156,1156,-715) -> Matrix(1,0,0,1) Matrix(845,-524,666,-413) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(4175,-2594,1154,-717) -> Matrix(7,-4,2,-1) Matrix(6259,-3892,1732,-1077) -> Matrix(5,-4,4,-3) 1/1 Matrix(3727,-2320,2286,-1423) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(309,-194,266,-167) -> Matrix(5,-4,4,-3) 1/1 Matrix(2561,-1614,1436,-905) -> Matrix(5,-4,16,-13) Matrix(1943,-1226,794,-501) -> Matrix(7,-6,20,-17) Matrix(265,-168,418,-265) -> Matrix(13,-12,14,-13) (12/19,7/11) -> (6/7,1/1) Matrix(43,-28,66,-43) -> Matrix(1,0,2,-1) (7/11,2/3) -> (0/1,1/1) Matrix(85,-58,22,-15) -> Matrix(1,0,0,1) Matrix(635,-446,84,-59) -> Matrix(5,-2,2,-1) Matrix(549,-386,64,-45) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(929,-654,402,-283) -> Matrix(3,-2,2,-1) 1/1 Matrix(211,-150,294,-209) -> Matrix(9,-8,8,-7) 1/1 Matrix(1507,-1086,1192,-859) -> Matrix(5,-6,14,-17) Matrix(543,-392,356,-257) -> Matrix(3,-4,4,-5) 1/1 Matrix(499,-364,292,-213) -> Matrix(1,-2,2,-3) 1/1 Matrix(207,-154,82,-61) -> Matrix(1,-2,2,-3) 1/1 Matrix(1797,-1372,1408,-1075) -> Matrix(1,0,2,1) 0/1 Matrix(651,-502,284,-219) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(81,-64,100,-79) -> Matrix(3,-2,2,-1) 1/1 Matrix(1027,-844,376,-309) -> Matrix(1,-2,2,-3) 1/1 Matrix(275,-228,158,-131) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(507,-428,430,-363) -> Matrix(-1,6,0,1) *** -> (3/1,1/0) Matrix(389,-332,116,-99) -> Matrix(1,0,2,1) 0/1 Matrix(155,-134,96,-83) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(263,-314,98,-117) -> Matrix(1,2,0,1) 1/0 Matrix(323,-396,146,-179) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(161,-200,128,-159) -> Matrix(1,0,4,1) 0/1 Matrix(1297,-1654,396,-505) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(537,-686,364,-465) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(2083,-2668,616,-789) -> Matrix(1,-4,2,-7) Matrix(879,-1136,236,-305) -> Matrix(1,0,0,1) Matrix(93,-122,16,-21) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(303,-418,166,-229) -> Matrix(1,0,2,1) 0/1 Matrix(331,-460,136,-189) -> Matrix(1,0,4,1) 0/1 Matrix(179,-254,74,-105) -> Matrix(1,0,-2,1) 0/1 Matrix(1295,-1874,794,-1149) -> Matrix(1,0,0,1) Matrix(587,-852,206,-299) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(293,-428,102,-149) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1447,-2224,568,-873) -> Matrix(1,2,2,5) Matrix(651,-1004,142,-219) -> Matrix(3,2,2,1) Matrix(283,-438,42,-65) -> Matrix(1,2,0,1) 1/0 Matrix(197,-308,126,-197) -> Matrix(-1,0,2,1) (14/9,11/7) -> (-1/1,0/1) Matrix(111,-176,70,-111) -> Matrix(1,0,4,-1) (11/7,8/5) -> (0/1,1/2) Matrix(6051,-9790,3740,-6051) -> Matrix(7,-6,8,-7) (55/34,89/55) -> (3/4,1/1) Matrix(3739,-6052,2310,-3739) -> Matrix(-1,2,0,1) (89/55,34/21) -> (1/1,1/0) Matrix(713,-1160,260,-423) -> Matrix(1,0,0,1) Matrix(4019,-6566,2460,-4019) -> Matrix(-1,0,4,1) (49/30,67/41) -> (-1/2,0/1) Matrix(1475,-2412,902,-1475) -> Matrix(1,0,6,-1) (67/41,18/11) -> (0/1,1/3) Matrix(655,-1074,136,-223) -> Matrix(5,-2,2,-1) Matrix(1391,-2282,804,-1319) -> Matrix(5,-2,2,-1) Matrix(507,-860,214,-363) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(6683,-11390,1850,-3153) -> Matrix(3,-2,2,-1) 1/1 Matrix(1863,-3176,586,-999) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(211,-364,40,-69) -> Matrix(3,-2,2,-1) 1/1 Matrix(1687,-2922,474,-821) -> Matrix(3,4,2,3) Matrix(183,-322,104,-183) -> Matrix(1,0,0,-1) (7/4,23/13) -> (0/1,1/0) Matrix(415,-736,234,-415) -> Matrix(1,0,6,-1) (23/13,16/9) -> (0/1,1/3) Matrix(569,-1014,78,-139) -> Matrix(3,-2,2,-1) 1/1 Matrix(307,-556,90,-163) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(25,-48,12,-23) -> Matrix(1,0,0,1) Matrix(681,-1478,182,-395) -> Matrix(1,0,0,1) Matrix(815,-1776,374,-815) -> Matrix(1,0,4,-1) (37/17,24/11) -> (0/1,1/2) Matrix(293,-642,68,-149) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(267,-596,56,-125) -> Matrix(3,-2,2,-1) 1/1 Matrix(199,-450,88,-199) -> Matrix(3,-2,4,-3) (9/4,25/11) -> (1/2,1/1) Matrix(351,-800,154,-351) -> Matrix(3,-4,2,-3) (25/11,16/7) -> (1/1,2/1) Matrix(297,-710,64,-153) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(3879,-9514,1522,-3733) -> Matrix(15,-8,32,-17) 1/2 Matrix(645,-1586,146,-359) -> Matrix(5,-4,4,-3) 1/1 Matrix(18461,-47060,7242,-18461) -> Matrix(81,-40,164,-81) (130/51,181/71) -> (20/41,1/2) Matrix(7241,-18462,2840,-7241) -> Matrix(35,-18,68,-35) (181/71,51/20) -> (1/2,9/17) Matrix(1013,-2586,284,-725) -> Matrix(13,-8,8,-5) Matrix(727,-1864,172,-441) -> Matrix(7,-6,6,-5) 1/1 Matrix(181,-468,70,-181) -> Matrix(5,-4,6,-5) (18/7,13/5) -> (2/3,1/1) Matrix(79,-208,30,-79) -> Matrix(-1,2,0,1) (13/5,8/3) -> (1/1,1/0) Matrix(721,-1944,214,-577) -> Matrix(1,2,2,3) Matrix(97,-262,10,-27) -> Matrix(1,2,0,1) 1/0 Matrix(2843,-7742,1044,-2843) -> Matrix(-1,0,8,1) (49/18,79/29) -> (-1/4,0/1) Matrix(1739,-4740,638,-1739) -> Matrix(1,0,6,-1) (79/29,30/11) -> (0/1,1/3) Matrix(1619,-4428,434,-1187) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(249,-688,38,-105) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(763,-2116,172,-477) -> Matrix(3,-2,2,-1) 1/1 Matrix(1483,-4134,532,-1483) -> Matrix(-1,0,4,1) (39/14,53/19) -> (-1/2,0/1) Matrix(531,-1484,190,-531) -> Matrix(1,0,4,-1) (53/19,14/5) -> (0/1,1/2) Matrix(151,-426,28,-79) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(253,-826,34,-111) -> Matrix(1,2,0,1) 1/0 Matrix(113,-392,32,-111) -> Matrix(7,-6,6,-5) 1/1 Matrix(765,-2762,172,-621) -> Matrix(3,-4,2,-3) *** -> (1/1,2/1) Matrix(2129,-7952,570,-2129) -> Matrix(1,0,2,-1) (56/15,71/19) -> (0/1,1/1) Matrix(441,-1936,100,-439) -> Matrix(3,-2,2,-1) 1/1 ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.