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 -8/9 -5/6 -7/9 -3/4 -2/3 -17/27 -7/12 -5/9 -1/2 -7/15 -11/24 -4/9 -7/16 -5/12 -55/144 -3/8 -1/3 -17/54 -11/35 -3/10 -71/252 -19/72 -7/27 -1/4 -5/21 -2/9 -13/60 -3/14 -7/33 -3/16 -5/27 -5/29 -1/6 -3/19 -2/15 -3/23 -1/8 -3/25 -1/9 -1/10 0/1 1/9 2/17 1/8 2/15 1/7 2/13 1/6 3/17 2/11 5/27 3/16 1/5 3/14 2/9 7/31 3/13 5/21 1/4 7/27 29/108 3/11 5/18 2/7 11/36 1/3 13/36 3/8 41/108 7/18 13/33 2/5 5/12 7/16 4/9 11/24 7/15 1/2 5/9 7/12 11/18 67/108 17/27 23/36 35/54 2/3 25/36 13/18 79/108 3/4 7/9 5/6 8/9 11/12 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 1/0 -8/9 1/0 -7/8 0/1 -13/15 0/1 -19/22 -1/1 -1/3 -6/7 1/1 -11/13 0/1 1/2 -5/6 1/0 -9/11 0/1 1/0 -13/16 1/0 -30/37 -1/1 -17/21 0/1 -21/26 -1/1 -1/3 -4/5 1/1 -15/19 0/1 1/1 -26/33 1/0 -11/14 1/1 3/1 -7/9 1/0 -17/22 -1/1 1/1 -44/57 1/0 -27/35 -1/1 1/0 -10/13 -1/1 -13/17 -3/2 -1/1 -16/21 -1/2 -3/4 0/1 -17/23 0/1 1/2 -14/19 1/1 -25/34 1/1 9/7 -11/15 2/1 -30/41 7/1 -79/108 1/0 -49/67 -7/1 1/0 -19/26 -1/1 1/1 -27/37 1/1 1/0 -8/11 1/1 -29/40 1/0 -79/109 3/1 1/0 -50/69 1/0 -21/29 4/1 1/0 -13/18 1/0 -5/7 -1/1 1/0 -12/17 -1/1 -19/27 -1/1 -26/37 -1/1 -33/47 -1/1 -2/3 -7/10 -1/1 -1/3 -23/33 0/1 -16/23 -1/7 -25/36 0/1 -9/13 0/1 1/4 -20/29 1/3 -11/16 1/2 -24/35 1/1 -37/54 1/1 -13/19 1/1 2/1 -2/3 1/0 -13/20 -2/1 -24/37 -1/1 -35/54 -1/1 -11/17 -1/1 -1/2 -9/14 -1/1 -1/3 -25/39 0/1 -16/25 -1/5 -23/36 0/1 -7/11 0/1 1/2 -19/30 1/2 -31/49 1/2 2/3 -12/19 1/1 -17/27 1/1 -22/35 1/1 -5/8 1/0 -23/37 1/1 1/0 -18/29 3/1 -67/108 1/0 -49/79 -7/1 1/0 -31/50 -3/1 -1/1 -13/21 0/1 -34/55 1/1 -21/34 1/1 5/3 -29/47 1/1 2/1 -37/60 2/1 -45/73 2/1 1/0 -8/13 3/1 -27/44 4/1 -46/75 1/0 -19/31 6/1 1/0 -11/18 1/0 -3/5 -1/1 1/0 -10/17 -1/1 -37/63 -1/1 -27/46 -1/1 1/1 -17/29 -2/1 1/0 -7/12 -1/1 -25/43 -1/2 0/1 -43/74 -1/1 -1/3 -18/31 -1/1 -11/19 -1/1 0/1 -15/26 -1/1 -1/3 -19/33 0/1 -4/7 1/1 -21/37 -1/1 1/0 -17/30 1/0 -13/23 0/1 1/0 -22/39 1/0 -9/16 0/1 -5/9 1/0 -11/20 -2/1 -17/31 -2/1 -3/2 -6/11 -1/1 -19/35 -1/1 1/0 -13/24 1/0 -7/13 -2/1 1/0 -1/2 -1/1 1/1 -7/15 -2/3 -13/28 -2/3 -6/13 -1/1 -17/37 -1/1 -1/2 -11/24 -1/2 -5/11 -1/2 0/1 -9/20 -1/2 -13/29 -1/2 0/1 -4/9 0/1 -19/43 0/1 1/2 -15/34 1/3 1/1 -11/25 0/1 1/1 -29/66 1/0 -47/107 1/1 1/0 -18/41 3/1 -25/57 -2/1 -7/16 0/1 -17/39 0/1 -10/23 1/3 -3/7 -1/1 1/0 -8/19 -1/1 -13/31 -2/1 -3/2 -5/12 -1/1 -7/17 -1/1 -1/2 -9/22 -1/1 -3/5 -20/49 -1/1 -11/27 -1/2 -13/32 -1/2 -15/37 -1/1 -1/2 -2/5 -1/3 -15/38 -1/3 -1/5 -13/33 0/1 -11/28 0/1 -9/23 -1/6 0/1 -7/18 0/1 -5/13 0/1 1/2 -13/34 3/5 1/1 -34/89 1/1 -55/144 1/1 -21/55 1/1 5/4 -8/21 1/0 -27/71 0/1 1/0 -46/121 -1/1 -19/50 -1/1 1/1 -30/79 -1/3 -41/108 0/1 -11/29 0/1 1/2 -25/66 1/1 -14/37 1/1 -3/8 1/0 -13/35 -1/1 1/0 -10/27 1/0 -27/73 -2/1 1/0 -44/119 -1/1 -17/46 -3/1 -1/1 -7/19 -2/1 -1/1 -11/30 -1/1 -26/71 -1/1 -15/41 -1/2 0/1 -4/11 -1/1 -13/36 -1/1 -9/25 -1/1 -2/3 -23/64 -2/3 -14/39 -1/2 -5/14 -1/1 -1/3 -11/31 0/1 1/0 -6/17 -1/1 -1/3 0/1 -6/19 1/1 -17/54 1/0 -11/35 1/1 1/0 -5/16 1/0 -9/29 0/1 1/0 -4/13 1/1 -11/36 1/0 -7/23 -2/1 1/0 -10/33 1/0 -13/43 -2/1 1/0 -3/10 -1/1 1/1 -11/37 -1/1 1/0 -8/27 1/0 -13/44 -2/1 -5/17 -1/1 1/0 -7/24 -1/1 -9/31 -2/3 -1/2 -20/69 -1/2 -31/107 -1/1 -1/2 -11/38 -1/1 -1/3 -2/7 -1/1 -11/39 0/1 -31/110 -1/1 -1/3 -51/181 -1/1 -1/2 -71/252 -1/2 -20/71 -1/3 -9/32 0/1 -16/57 -1/4 -7/25 -1/5 0/1 -5/18 0/1 -3/11 0/1 1/2 -13/48 1/2 -10/37 1/1 -7/26 -1/1 1/1 -18/67 -1/3 -29/108 0/1 -11/41 0/1 1/4 -15/56 0/1 -19/71 0/1 1/2 -4/15 1/2 -13/49 2/3 3/4 -9/34 7/9 1/1 -14/53 1/1 -19/72 1/1 -5/19 1/1 4/3 -6/23 3/1 -7/27 1/0 -1/4 1/0 -6/25 -3/1 -11/46 -3/1 -1/1 -5/21 -2/1 -4/17 -1/1 -11/47 -1/1 -2/3 -7/30 -1/2 -3/13 0/1 1/0 -11/48 1/0 -8/35 -1/1 -21/92 -2/3 -13/57 0/1 -5/22 -1/1 1/1 -7/31 -1/2 0/1 -2/9 0/1 -9/41 0/1 1/0 -16/73 1/1 -7/32 0/1 -5/23 0/1 1/0 -18/83 1/1 -31/143 0/1 1/0 -13/60 0/1 -21/97 0/1 1/1 -8/37 1/1 -11/51 2/1 -3/14 -1/1 1/1 -7/33 0/1 -11/52 0/1 -15/71 0/1 1/2 -19/90 1/2 -4/19 1/1 -1/5 1/1 1/0 -5/26 -7/1 -5/1 -9/47 -5/1 -4/1 -4/21 1/0 -7/37 -3/1 1/0 -3/16 1/0 -8/43 -1/1 -5/27 1/0 -12/65 -3/1 -7/38 -5/1 -3/1 -9/49 -2/1 1/0 -2/11 -3/1 -7/39 -2/1 -5/28 -2/1 -3/17 -3/2 -1/1 -4/23 -1/1 -5/29 -2/1 1/0 -1/6 -1/1 -3/19 -2/1 -1/1 -2/13 -1/3 -1/7 1/1 1/0 -3/22 -5/1 -3/1 -2/15 1/0 -3/23 -5/2 -2/1 -1/8 -2/1 -3/25 -2/1 -1/1 -2/17 -1/1 -1/9 -1/1 -1/10 -1/1 -1/3 0/1 -1/1 1/9 -1/1 2/17 -1/1 1/8 -2/3 2/15 -1/2 3/22 -3/5 -5/9 1/7 -1/2 -1/3 2/13 1/1 1/6 -1/1 3/17 -1/1 -3/4 5/28 -2/3 2/11 -3/5 7/38 -3/5 -5/9 5/27 -1/2 3/16 -1/2 7/37 -3/5 -1/2 4/21 -1/2 5/26 -5/9 -7/13 1/5 -1/2 -1/3 3/14 -1/1 -1/3 8/37 -1/3 13/60 0/1 18/83 -1/3 5/23 -1/2 0/1 7/32 0/1 2/9 0/1 9/40 0/1 7/31 0/1 1/0 5/22 -1/1 -1/3 13/57 0/1 8/35 -1/1 3/13 -1/2 0/1 4/17 -1/1 5/21 -2/3 1/4 -1/2 7/27 -1/2 6/23 -3/7 5/19 -4/11 -1/3 9/34 -1/3 -7/23 22/83 -1/3 13/49 -3/10 -2/7 4/15 -1/4 11/41 -1/6 0/1 29/108 0/1 18/67 1/1 7/26 -1/1 -1/3 17/63 -1/3 10/37 -1/3 3/11 -1/4 0/1 5/18 0/1 7/25 0/1 1/3 9/32 0/1 2/7 -1/1 5/17 -1/1 -1/2 13/44 -2/3 8/27 -1/2 11/37 -1/1 -1/2 3/10 -1/1 -1/3 10/33 -1/2 7/23 -2/3 -1/2 11/36 -1/2 4/13 -1/3 9/29 -1/2 0/1 5/16 -1/2 1/3 0/1 7/20 1/0 13/37 -1/1 1/0 19/54 1/0 6/17 -1/1 5/14 -1/1 1/1 14/39 1/0 23/64 -2/1 9/25 -2/1 -1/1 13/36 -1/1 4/11 -1/1 15/41 0/1 1/0 41/112 0/1 26/71 -1/1 11/30 -1/1 18/49 1/1 7/19 -1/1 -2/3 10/27 -1/2 13/35 -1/1 -1/2 3/8 -1/2 14/37 -1/3 25/66 -1/3 11/29 -1/4 0/1 41/108 0/1 30/79 1/1 19/50 -1/1 -1/3 27/71 -1/2 0/1 8/21 -1/2 21/55 -5/14 -1/3 13/34 -1/3 -3/11 5/13 -1/4 0/1 7/18 0/1 9/23 0/1 1/4 20/51 1/2 11/28 0/1 13/33 0/1 2/5 1/1 15/37 -1/1 1/0 13/32 1/0 11/27 1/0 20/49 -1/1 29/71 -2/1 1/0 9/22 -3/1 -1/1 7/17 -1/1 1/0 12/29 -1/1 5/12 -1/1 18/43 -1/1 31/74 -1/1 -7/9 13/31 -3/4 -2/3 21/50 -1/1 -3/5 8/19 -1/1 3/7 -1/1 -1/2 10/23 -1/5 17/39 0/1 7/16 0/1 18/41 -3/7 29/66 -1/2 11/25 -1/3 0/1 15/34 -1/3 -1/5 4/9 0/1 17/38 -1/1 1/1 13/29 0/1 1/0 9/20 1/0 5/11 0/1 1/0 16/35 1/1 11/24 1/0 6/13 -1/1 7/15 -2/1 1/2 -1/1 -1/3 7/13 -2/3 -1/2 20/37 -3/5 13/24 -1/2 6/11 -1/1 5/9 -1/2 14/25 -1/3 23/41 -1/4 0/1 32/57 -1/2 41/73 -1/2 0/1 9/16 0/1 22/39 -1/2 13/23 -1/2 0/1 17/30 -1/2 4/7 -1/3 23/40 0/1 42/73 -1/1 19/33 0/1 15/26 -1/1 1/1 26/45 1/0 11/19 -1/1 0/1 18/31 -1/1 7/12 -1/1 24/41 -1/1 65/111 -2/3 106/181 -3/5 41/70 -1/1 -3/5 17/29 -2/3 -1/2 44/75 -1/2 27/46 -1/1 -1/3 37/63 -1/1 10/17 -1/1 53/90 -3/4 43/73 -3/4 -2/3 33/56 -2/3 23/39 -2/3 13/22 -1/1 -3/5 3/5 -1/1 -1/2 11/18 -1/2 19/31 -1/2 -6/13 65/106 -5/11 -3/7 46/75 -1/2 27/44 -4/9 8/13 -3/7 45/73 -1/2 -2/5 37/60 -2/5 29/47 -2/5 -1/3 21/34 -5/13 -1/3 55/89 -9/26 -1/3 89/144 -1/3 34/55 -1/3 13/21 0/1 44/71 -1/1 31/50 -1/1 -3/5 49/79 -7/13 -1/2 67/108 -1/2 18/29 -3/7 41/66 -1/2 64/103 -3/7 23/37 -1/2 -1/3 5/8 -1/2 22/35 -1/3 17/27 -1/3 12/19 -1/3 7/11 -1/4 0/1 23/36 0/1 16/25 1/3 41/64 0/1 25/39 0/1 9/14 -1/1 1/1 11/17 -1/1 1/0 35/54 -1/1 24/37 -1/1 13/20 -2/3 2/3 -1/2 13/19 -2/5 -1/3 37/54 -1/3 24/35 -1/3 11/16 -1/4 9/13 -1/6 0/1 25/36 0/1 16/23 1/5 23/33 0/1 7/10 -1/1 1/1 33/47 -2/1 -1/1 59/84 -2/1 26/37 -1/1 19/27 -1/1 12/17 -1/1 5/7 -1/1 -1/2 13/18 -1/2 21/29 -1/2 -4/9 50/69 -1/2 129/178 -3/7 -1/3 208/287 -1/3 287/396 -1/2 79/109 -1/2 -3/7 29/40 -1/2 37/51 -2/5 8/11 -1/3 35/48 -1/2 27/37 -1/2 -1/3 19/26 -1/1 -1/3 49/67 -7/13 -1/2 79/108 -1/2 30/41 -7/15 41/56 -4/9 52/71 -3/7 11/15 -2/5 25/34 -9/25 -1/3 39/53 -12/35 -1/3 53/72 -1/3 14/19 -1/3 17/23 -1/4 0/1 3/4 0/1 19/25 0/1 1/1 35/46 1/1 3/1 16/21 1/0 13/17 -1/1 -3/4 23/30 -1/1 33/43 -2/3 -1/2 10/13 -1/1 7/9 -1/2 18/23 -1/3 47/60 -1/2 29/37 -1/2 -1/3 40/51 -1/2 11/14 -3/7 -1/3 26/33 -1/2 15/19 -1/3 0/1 4/5 -1/3 21/26 -1/1 1/1 38/47 1/1 17/21 0/1 30/37 -1/1 13/16 -1/2 9/11 -1/2 0/1 14/17 -1/1 19/23 -2/3 -1/2 5/6 -1/2 21/25 -2/5 -1/3 37/44 -2/5 16/19 -1/3 11/13 -1/4 0/1 17/20 -1/2 23/27 -1/2 29/34 -1/1 -1/3 6/7 -1/3 19/22 -1/1 1/1 13/15 0/1 20/23 -1/1 7/8 0/1 8/9 -1/2 9/10 -1/1 -1/3 10/11 -1/3 11/12 0/1 1/1 -1/2 0/1 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(253,226,-684,-611) (-1/1,-8/9) -> (-10/27,-27/73) Hyperbolic Matrix(181,160,612,541) (-8/9,-7/8) -> (13/44,8/27) Hyperbolic Matrix(251,218,-540,-469) (-7/8,-13/15) -> (-7/15,-13/28) Hyperbolic Matrix(361,312,1584,1369) (-13/15,-19/22) -> (5/22,13/57) Hyperbolic Matrix(793,684,2088,1801) (-19/22,-6/7) -> (30/79,19/50) Hyperbolic Matrix(323,274,-468,-397) (-6/7,-11/13) -> (-9/13,-20/29) Hyperbolic Matrix(109,92,-468,-395) (-11/13,-5/6) -> (-7/30,-3/13) Hyperbolic Matrix(251,206,-396,-325) (-5/6,-9/11) -> (-7/11,-19/30) Hyperbolic Matrix(179,146,396,323) (-9/11,-13/16) -> (9/20,5/11) Hyperbolic Matrix(791,642,1152,935) (-13/16,-30/37) -> (24/35,11/16) Hyperbolic Matrix(1405,1138,2268,1837) (-30/37,-17/21) -> (13/21,44/71) Hyperbolic Matrix(361,292,-1512,-1223) (-17/21,-21/26) -> (-11/46,-5/21) Hyperbolic Matrix(503,406,1872,1511) (-21/26,-4/5) -> (18/67,7/26) Hyperbolic Matrix(397,314,684,541) (-4/5,-15/19) -> (11/19,18/31) Hyperbolic Matrix(467,368,684,539) (-15/19,-26/33) -> (2/3,13/19) Hyperbolic Matrix(361,284,1008,793) (-26/33,-11/14) -> (5/14,14/39) Hyperbolic Matrix(251,196,-324,-253) (-11/14,-7/9) -> (-7/9,-17/22) Parabolic Matrix(215,166,1584,1223) (-17/22,-44/57) -> (2/15,3/22) Hyperbolic Matrix(539,416,2844,2195) (-44/57,-27/35) -> (7/37,4/21) Hyperbolic Matrix(431,332,-936,-721) (-27/35,-10/13) -> (-6/13,-17/37) Hyperbolic Matrix(107,82,-612,-469) (-10/13,-13/17) -> (-3/17,-4/23) Hyperbolic Matrix(577,440,1512,1153) (-13/17,-16/21) -> (8/21,21/55) Hyperbolic Matrix(253,192,-900,-683) (-16/21,-3/4) -> (-9/32,-16/57) Hyperbolic Matrix(181,134,828,613) (-3/4,-17/23) -> (5/23,7/32) Hyperbolic Matrix(683,504,828,611) (-17/23,-14/19) -> (14/17,19/23) Hyperbolic Matrix(647,476,-2448,-1801) (-14/19,-25/34) -> (-9/34,-14/53) Hyperbolic Matrix(253,186,540,397) (-25/34,-11/15) -> (7/15,1/2) Hyperbolic Matrix(1295,948,-2952,-2161) (-11/15,-30/41) -> (-18/41,-25/57) Hyperbolic Matrix(6479,4740,8856,6479) (-30/41,-79/108) -> (79/108,30/41) Hyperbolic Matrix(10585,7742,14472,10585) (-79/108,-49/67) -> (49/67,79/108) Hyperbolic Matrix(361,264,1872,1369) (-49/67,-19/26) -> (5/26,1/5) Hyperbolic Matrix(397,290,1332,973) (-19/26,-27/37) -> (11/37,3/10) Hyperbolic Matrix(431,314,-792,-577) (-27/37,-8/11) -> (-6/11,-19/35) Hyperbolic Matrix(251,182,-1044,-757) (-8/11,-29/40) -> (-1/4,-6/25) Hyperbolic Matrix(2017,1462,4968,3601) (-29/40,-79/109) -> (15/37,13/32) Hyperbolic Matrix(4319,3130,-14904,-10801) (-79/109,-50/69) -> (-20/69,-31/107) Hyperbolic Matrix(2449,1774,4176,3025) (-50/69,-21/29) -> (17/29,44/75) Hyperbolic Matrix(755,546,1044,755) (-21/29,-13/18) -> (13/18,21/29) Hyperbolic Matrix(181,130,252,181) (-13/18,-5/7) -> (5/7,13/18) Hyperbolic Matrix(107,76,252,179) (-5/7,-12/17) -> (8/19,3/7) Hyperbolic Matrix(613,432,972,685) (-12/17,-19/27) -> (17/27,12/19) Hyperbolic Matrix(1223,860,1944,1367) (-19/27,-26/37) -> (22/35,17/27) Hyperbolic Matrix(1153,810,-5328,-3743) (-26/37,-33/47) -> (-21/97,-8/37) Hyperbolic Matrix(325,228,-1692,-1187) (-33/47,-7/10) -> (-5/26,-9/47) Hyperbolic Matrix(685,478,1188,829) (-7/10,-23/33) -> (19/33,15/26) Hyperbolic Matrix(721,502,1656,1153) (-23/33,-16/23) -> (10/23,17/39) Hyperbolic Matrix(1151,800,1656,1151) (-16/23,-25/36) -> (25/36,16/23) Hyperbolic Matrix(649,450,936,649) (-25/36,-9/13) -> (9/13,25/36) Hyperbolic Matrix(215,148,-1152,-793) (-20/29,-11/16) -> (-3/16,-8/43) Hyperbolic Matrix(935,642,1152,791) (-11/16,-24/35) -> (30/37,13/16) Hyperbolic Matrix(2521,1728,3888,2665) (-24/35,-37/54) -> (35/54,24/37) Hyperbolic Matrix(1405,962,2052,1405) (-37/54,-13/19) -> (13/19,37/54) Hyperbolic Matrix(539,368,684,467) (-13/19,-2/3) -> (26/33,15/19) Hyperbolic Matrix(467,304,828,539) (-2/3,-13/20) -> (9/16,22/39) Hyperbolic Matrix(937,608,-4104,-2663) (-13/20,-24/37) -> (-8/35,-21/92) Hyperbolic Matrix(2665,1728,3888,2521) (-24/37,-35/54) -> (37/54,24/35) Hyperbolic Matrix(1189,770,1836,1189) (-35/54,-11/17) -> (11/17,35/54) Hyperbolic Matrix(251,162,612,395) (-11/17,-9/14) -> (9/22,7/17) Hyperbolic Matrix(829,532,1404,901) (-9/14,-25/39) -> (23/39,13/22) Hyperbolic Matrix(253,162,-1404,-899) (-25/39,-16/25) -> (-2/11,-7/39) Hyperbolic Matrix(1151,736,1800,1151) (-16/25,-23/36) -> (23/36,16/25) Hyperbolic Matrix(505,322,792,505) (-23/36,-7/11) -> (7/11,23/36) Hyperbolic Matrix(1223,774,2160,1367) (-19/30,-31/49) -> (13/23,17/30) Hyperbolic Matrix(1009,638,1368,865) (-31/49,-12/19) -> (14/19,17/23) Hyperbolic Matrix(685,432,972,613) (-12/19,-17/27) -> (19/27,12/17) Hyperbolic Matrix(1367,860,1944,1223) (-17/27,-22/35) -> (26/37,19/27) Hyperbolic Matrix(217,136,576,361) (-22/35,-5/8) -> (3/8,14/37) Hyperbolic Matrix(215,134,576,359) (-5/8,-23/37) -> (13/35,3/8) Hyperbolic Matrix(757,470,-1332,-827) (-23/37,-18/29) -> (-4/7,-21/37) Hyperbolic Matrix(3887,2412,6264,3887) (-18/29,-67/108) -> (67/108,18/29) Hyperbolic Matrix(10585,6566,17064,10585) (-67/108,-49/79) -> (49/79,67/108) Hyperbolic Matrix(287,178,2088,1295) (-49/79,-31/50) -> (3/22,1/7) Hyperbolic Matrix(613,380,-2844,-1763) (-31/50,-13/21) -> (-11/51,-3/14) Hyperbolic Matrix(359,222,1512,935) (-13/21,-34/55) -> (4/17,5/21) Hyperbolic Matrix(1871,1156,-4896,-3025) (-34/55,-21/34) -> (-13/34,-34/89) Hyperbolic Matrix(1079,666,2448,1511) (-21/34,-29/47) -> (11/25,15/34) Hyperbolic Matrix(1871,1154,-8640,-5329) (-29/47,-37/60) -> (-13/60,-21/97) Hyperbolic Matrix(2809,1732,-12960,-7991) (-37/60,-45/73) -> (-31/143,-13/60) Hyperbolic Matrix(1837,1132,4500,2773) (-45/73,-8/13) -> (20/49,29/71) Hyperbolic Matrix(433,266,-936,-575) (-8/13,-27/44) -> (-13/28,-6/13) Hyperbolic Matrix(2341,1436,6516,3997) (-27/44,-46/75) -> (14/39,23/64) Hyperbolic Matrix(1295,794,-4464,-2737) (-46/75,-19/31) -> (-9/31,-20/69) Hyperbolic Matrix(683,418,1116,683) (-19/31,-11/18) -> (11/18,19/31) Hyperbolic Matrix(109,66,180,109) (-11/18,-3/5) -> (3/5,11/18) Hyperbolic Matrix(37,22,-180,-107) (-3/5,-10/17) -> (-4/19,-1/5) Hyperbolic Matrix(143,84,1224,719) (-10/17,-37/63) -> (1/9,2/17) Hyperbolic Matrix(1223,718,4536,2663) (-37/63,-27/46) -> (7/26,17/63) Hyperbolic Matrix(685,402,-2268,-1331) (-27/46,-17/29) -> (-13/43,-3/10) Hyperbolic Matrix(503,294,-864,-505) (-17/29,-7/12) -> (-7/12,-25/43) Parabolic Matrix(1693,984,3780,2197) (-25/43,-43/74) -> (17/38,13/29) Hyperbolic Matrix(613,356,-1548,-899) (-43/74,-18/31) -> (-2/5,-15/38) Hyperbolic Matrix(541,314,684,397) (-18/31,-11/19) -> (15/19,4/5) Hyperbolic Matrix(505,292,-1368,-791) (-11/19,-15/26) -> (-17/46,-7/19) Hyperbolic Matrix(829,478,1188,685) (-15/26,-19/33) -> (23/33,7/10) Hyperbolic Matrix(143,82,-504,-289) (-19/33,-4/7) -> (-2/7,-11/39) Hyperbolic Matrix(2483,1408,-5652,-3205) (-21/37,-17/30) -> (-29/66,-47/107) Hyperbolic Matrix(685,388,828,469) (-17/30,-13/23) -> (19/23,5/6) Hyperbolic Matrix(503,284,1656,935) (-13/23,-22/39) -> (10/33,7/23) Hyperbolic Matrix(539,304,828,467) (-22/39,-9/16) -> (13/20,2/3) Hyperbolic Matrix(179,100,-324,-181) (-9/16,-5/9) -> (-5/9,-11/20) Parabolic Matrix(685,376,-2556,-1403) (-11/20,-17/31) -> (-11/41,-15/56) Hyperbolic Matrix(289,158,792,433) (-17/31,-6/11) -> (4/11,15/41) Hyperbolic Matrix(2341,1270,2988,1621) (-19/35,-13/24) -> (47/60,29/37) Hyperbolic Matrix(215,116,-936,-505) (-13/24,-7/13) -> (-3/13,-11/48) Hyperbolic Matrix(179,96,468,251) (-7/13,-1/2) -> (13/34,5/13) Hyperbolic Matrix(397,186,540,253) (-1/2,-7/15) -> (11/15,25/34) Hyperbolic Matrix(1943,892,2664,1223) (-17/37,-11/24) -> (35/48,27/37) Hyperbolic Matrix(215,98,-792,-361) (-11/24,-5/11) -> (-3/11,-13/48) Hyperbolic Matrix(323,146,396,179) (-5/11,-9/20) -> (13/16,9/11) Hyperbolic Matrix(325,146,1044,469) (-9/20,-13/29) -> (9/29,5/16) Hyperbolic Matrix(287,128,-648,-289) (-13/29,-4/9) -> (-4/9,-19/43) Parabolic Matrix(2341,1034,3996,1765) (-19/43,-15/34) -> (41/70,17/29) Hyperbolic Matrix(1511,666,2448,1079) (-15/34,-11/25) -> (29/47,21/34) Hyperbolic Matrix(1511,664,1800,791) (-11/25,-29/66) -> (5/6,21/25) Hyperbolic Matrix(829,364,2052,901) (-47/107,-18/41) -> (2/5,15/37) Hyperbolic Matrix(1405,616,-6156,-2699) (-25/57,-7/16) -> (-21/92,-13/57) Hyperbolic Matrix(541,236,-2556,-1115) (-7/16,-17/39) -> (-7/33,-11/52) Hyperbolic Matrix(1153,502,1656,721) (-17/39,-10/23) -> (16/23,23/33) Hyperbolic Matrix(37,16,252,109) (-10/23,-3/7) -> (1/7,2/13) Hyperbolic Matrix(179,76,252,107) (-3/7,-8/19) -> (12/17,5/7) Hyperbolic Matrix(395,166,-1116,-469) (-8/19,-13/31) -> (-11/31,-6/17) Hyperbolic Matrix(325,136,-1116,-467) (-13/31,-5/12) -> (-7/24,-9/31) Hyperbolic Matrix(179,74,-612,-253) (-5/12,-7/17) -> (-5/17,-7/24) Hyperbolic Matrix(395,162,612,251) (-7/17,-9/22) -> (9/14,11/17) Hyperbolic Matrix(1943,794,-5112,-2089) (-9/22,-20/49) -> (-46/121,-19/50) Hyperbolic Matrix(505,206,1944,793) (-20/49,-11/27) -> (7/27,6/23) Hyperbolic Matrix(251,102,972,395) (-11/27,-13/32) -> (1/4,7/27) Hyperbolic Matrix(3601,1462,4968,2017) (-13/32,-15/37) -> (79/109,29/40) Hyperbolic Matrix(2483,1006,3996,1619) (-15/37,-2/5) -> (64/103,23/37) Hyperbolic Matrix(1441,568,-5112,-2015) (-15/38,-13/33) -> (-11/39,-31/110) Hyperbolic Matrix(2053,808,3204,1261) (-13/33,-11/28) -> (41/64,25/39) Hyperbolic Matrix(107,42,-828,-325) (-11/28,-9/23) -> (-3/23,-1/8) Hyperbolic Matrix(323,126,828,323) (-9/23,-7/18) -> (7/18,9/23) Hyperbolic Matrix(181,70,468,181) (-7/18,-5/13) -> (5/13,7/18) Hyperbolic Matrix(251,96,468,179) (-5/13,-13/34) -> (1/2,7/13) Hyperbolic Matrix(12817,4896,20736,7921) (-34/89,-55/144) -> (89/144,34/55) Hyperbolic Matrix(12815,4894,20736,7919) (-55/144,-21/55) -> (55/89,89/144) Hyperbolic Matrix(1153,440,1512,577) (-21/55,-8/21) -> (16/21,13/17) Hyperbolic Matrix(683,260,-2556,-973) (-8/21,-27/71) -> (-19/71,-4/15) Hyperbolic Matrix(6013,2286,9756,3709) (-27/71,-46/121) -> (8/13,45/73) Hyperbolic Matrix(1801,684,2088,793) (-19/50,-30/79) -> (6/7,19/22) Hyperbolic Matrix(6479,2460,17064,6479) (-30/79,-41/108) -> (41/108,30/79) Hyperbolic Matrix(2377,902,6264,2377) (-41/108,-11/29) -> (11/29,41/108) Hyperbolic Matrix(2845,1078,3708,1405) (-11/29,-25/66) -> (23/30,33/43) Hyperbolic Matrix(2123,804,5796,2195) (-25/66,-14/37) -> (26/71,11/30) Hyperbolic Matrix(361,136,576,217) (-14/37,-3/8) -> (5/8,22/35) Hyperbolic Matrix(359,134,576,215) (-3/8,-13/35) -> (23/37,5/8) Hyperbolic Matrix(577,214,1944,721) (-13/35,-10/27) -> (8/27,11/37) Hyperbolic Matrix(5003,1850,-23076,-8533) (-27/73,-44/119) -> (-18/83,-31/143) Hyperbolic Matrix(4247,1570,5256,1943) (-44/119,-17/46) -> (21/26,38/47) Hyperbolic Matrix(109,40,-684,-251) (-7/19,-11/30) -> (-1/6,-3/19) Hyperbolic Matrix(2195,804,5796,2123) (-11/30,-26/71) -> (14/37,25/66) Hyperbolic Matrix(1295,474,-5904,-2161) (-26/71,-15/41) -> (-9/41,-16/73) Hyperbolic Matrix(827,302,1476,539) (-15/41,-4/11) -> (14/25,23/41) Hyperbolic Matrix(287,104,792,287) (-4/11,-13/36) -> (13/36,4/11) Hyperbolic Matrix(649,234,1800,649) (-13/36,-9/25) -> (9/25,13/36) Hyperbolic Matrix(217,78,-1800,-647) (-9/25,-23/64) -> (-1/8,-3/25) Hyperbolic Matrix(3997,1436,6516,2341) (-23/64,-14/39) -> (46/75,27/44) Hyperbolic Matrix(793,284,1008,361) (-14/39,-5/14) -> (11/14,26/33) Hyperbolic Matrix(253,90,1116,397) (-5/14,-11/31) -> (7/31,5/22) Hyperbolic Matrix(35,12,-108,-37) (-6/17,-1/3) -> (-1/3,-6/19) Parabolic Matrix(577,182,-2736,-863) (-6/19,-17/54) -> (-19/90,-4/19) Hyperbolic Matrix(1367,430,3888,1223) (-17/54,-11/35) -> (13/37,19/54) Hyperbolic Matrix(217,68,1152,361) (-11/35,-5/16) -> (3/16,7/37) Hyperbolic Matrix(469,146,1044,325) (-5/16,-9/29) -> (13/29,9/20) Hyperbolic Matrix(181,56,-1044,-323) (-9/29,-4/13) -> (-4/23,-5/29) Hyperbolic Matrix(287,88,936,287) (-4/13,-11/36) -> (11/36,4/13) Hyperbolic Matrix(505,154,1656,505) (-11/36,-7/23) -> (7/23,11/36) Hyperbolic Matrix(935,284,1656,503) (-7/23,-10/33) -> (22/39,13/23) Hyperbolic Matrix(2843,860,3924,1187) (-10/33,-13/43) -> (21/29,50/69) Hyperbolic Matrix(973,290,1332,397) (-3/10,-11/37) -> (27/37,19/26) Hyperbolic Matrix(721,214,1944,577) (-11/37,-8/27) -> (10/27,13/35) Hyperbolic Matrix(541,160,612,181) (-8/27,-13/44) -> (7/8,8/9) Hyperbolic Matrix(217,64,1224,361) (-13/44,-5/17) -> (3/17,5/28) Hyperbolic Matrix(5255,1522,-18648,-5401) (-31/107,-11/38) -> (-31/110,-51/181) Hyperbolic Matrix(505,146,-2736,-791) (-11/38,-2/7) -> (-12/65,-7/38) Hyperbolic Matrix(71855,20246,99144,27935) (-51/181,-71/252) -> (287/396,79/109) Hyperbolic Matrix(72793,20508,100440,28297) (-71/252,-20/71) -> (208/287,287/396) Hyperbolic Matrix(3743,1054,10224,2879) (-20/71,-9/32) -> (41/112,26/71) Hyperbolic Matrix(613,172,-3204,-899) (-16/57,-7/25) -> (-9/47,-4/21) Hyperbolic Matrix(251,70,900,251) (-7/25,-5/18) -> (5/18,7/25) Hyperbolic Matrix(109,30,396,109) (-5/18,-3/11) -> (3/11,5/18) Hyperbolic Matrix(1441,390,2664,721) (-13/48,-10/37) -> (20/37,13/24) Hyperbolic Matrix(37,10,-396,-107) (-10/37,-7/26) -> (-1/10,0/1) Hyperbolic Matrix(1511,406,1872,503) (-7/26,-18/67) -> (4/5,21/26) Hyperbolic Matrix(3887,1044,14472,3887) (-18/67,-29/108) -> (29/108,18/67) Hyperbolic Matrix(2377,638,8856,2377) (-29/108,-11/41) -> (11/41,29/108) Hyperbolic Matrix(4751,1272,8064,2159) (-15/56,-19/71) -> (43/73,33/56) Hyperbolic Matrix(1115,296,2844,755) (-4/15,-13/49) -> (9/23,20/51) Hyperbolic Matrix(649,172,-3528,-935) (-13/49,-9/34) -> (-7/38,-9/49) Hyperbolic Matrix(3817,1008,5184,1369) (-14/53,-19/72) -> (53/72,14/19) Hyperbolic Matrix(3815,1006,5184,1367) (-19/72,-5/19) -> (39/53,53/72) Hyperbolic Matrix(503,132,1368,359) (-5/19,-6/23) -> (18/49,7/19) Hyperbolic Matrix(793,206,1944,505) (-6/23,-7/27) -> (11/27,20/49) Hyperbolic Matrix(395,102,972,251) (-7/27,-1/4) -> (13/32,11/27) Hyperbolic Matrix(685,164,756,181) (-6/25,-11/46) -> (9/10,10/11) Hyperbolic Matrix(935,222,1512,359) (-5/21,-4/17) -> (34/55,13/21) Hyperbolic Matrix(145,34,-1224,-287) (-4/17,-11/47) -> (-3/25,-2/17) Hyperbolic Matrix(1693,396,3852,901) (-11/47,-7/30) -> (29/66,11/25) Hyperbolic Matrix(1153,264,2520,577) (-11/48,-8/35) -> (16/35,11/24) Hyperbolic Matrix(1369,312,1584,361) (-13/57,-5/22) -> (19/22,13/15) Hyperbolic Matrix(937,212,2232,505) (-5/22,-7/31) -> (13/31,21/50) Hyperbolic Matrix(143,32,-648,-145) (-7/31,-2/9) -> (-2/9,-9/41) Parabolic Matrix(3023,662,5256,1151) (-16/73,-7/32) -> (23/40,42/73) Hyperbolic Matrix(613,134,828,181) (-7/32,-5/23) -> (17/23,3/4) Hyperbolic Matrix(1585,344,5976,1297) (-5/23,-18/83) -> (22/83,13/49) Hyperbolic Matrix(2159,466,2664,575) (-8/37,-11/51) -> (17/21,30/37) Hyperbolic Matrix(647,138,1008,215) (-3/14,-7/33) -> (25/39,9/14) Hyperbolic Matrix(2771,586,4932,1043) (-11/52,-15/71) -> (41/73,9/16) Hyperbolic Matrix(7633,1612,12960,2737) (-15/71,-19/90) -> (53/90,43/73) Hyperbolic Matrix(1369,264,1872,361) (-1/5,-5/26) -> (19/26,49/67) Hyperbolic Matrix(2089,396,2664,505) (-4/21,-7/37) -> (29/37,40/51) Hyperbolic Matrix(467,88,1332,251) (-7/37,-3/16) -> (7/20,13/37) Hyperbolic Matrix(539,100,-2916,-541) (-8/43,-5/27) -> (-5/27,-12/65) Parabolic Matrix(937,172,4320,793) (-9/49,-2/11) -> (18/83,5/23) Hyperbolic Matrix(793,142,2016,361) (-7/39,-5/28) -> (11/28,13/33) Hyperbolic Matrix(361,64,1224,217) (-5/28,-3/17) -> (5/17,13/44) Hyperbolic Matrix(791,136,2088,359) (-5/29,-1/6) -> (25/66,11/29) Hyperbolic Matrix(179,28,684,107) (-3/19,-2/13) -> (6/23,5/19) Hyperbolic Matrix(109,16,252,37) (-2/13,-1/7) -> (3/7,10/23) Hyperbolic Matrix(1295,178,2088,287) (-1/7,-3/22) -> (31/50,49/79) Hyperbolic Matrix(1045,142,1332,181) (-3/22,-2/15) -> (40/51,11/14) Hyperbolic Matrix(287,38,1080,143) (-2/15,-3/23) -> (13/49,4/15) Hyperbolic Matrix(719,84,1224,143) (-2/17,-1/9) -> (37/63,10/17) Hyperbolic Matrix(613,64,1044,109) (-1/9,-1/10) -> (27/46,37/63) Hyperbolic Matrix(107,-10,396,-37) (0/1,1/9) -> (17/63,10/37) Hyperbolic Matrix(757,-90,900,-107) (2/17,1/8) -> (37/44,16/19) Hyperbolic Matrix(325,-42,828,-107) (1/8,2/15) -> (20/51,11/28) Hyperbolic Matrix(251,-40,684,-109) (2/13,1/6) -> (11/30,18/49) Hyperbolic Matrix(469,-82,612,-107) (1/6,3/17) -> (13/17,23/30) Hyperbolic Matrix(899,-162,1404,-253) (5/28,2/11) -> (16/25,41/64) Hyperbolic Matrix(935,-172,3528,-649) (2/11,7/38) -> (9/34,22/83) Hyperbolic Matrix(1657,-306,1944,-359) (7/38,5/27) -> (23/27,29/34) Hyperbolic Matrix(827,-154,972,-181) (5/27,3/16) -> (17/20,23/27) Hyperbolic Matrix(1151,-220,1512,-289) (4/21,5/26) -> (35/46,16/21) Hyperbolic Matrix(107,-22,180,-37) (1/5,3/14) -> (13/22,3/5) Hyperbolic Matrix(1763,-380,2844,-613) (3/14,8/37) -> (44/71,31/50) Hyperbolic Matrix(3743,-810,5328,-1153) (8/37,13/60) -> (59/84,26/37) Hyperbolic Matrix(1513,-328,1656,-359) (13/60,18/83) -> (10/11,11/12) Hyperbolic Matrix(145,-32,648,-143) (7/32,2/9) -> (2/9,9/40) Parabolic Matrix(1871,-422,5112,-1153) (9/40,7/31) -> (15/41,41/112) Hyperbolic Matrix(3349,-764,4572,-1043) (13/57,8/35) -> (52/71,11/15) Hyperbolic Matrix(505,-116,936,-215) (8/35,3/13) -> (7/13,20/37) Hyperbolic Matrix(395,-92,468,-109) (3/13,4/17) -> (16/19,11/13) Hyperbolic Matrix(757,-182,1044,-251) (5/21,1/4) -> (29/40,37/51) Hyperbolic Matrix(1801,-476,2448,-647) (5/19,9/34) -> (25/34,39/53) Hyperbolic Matrix(1657,-444,2952,-791) (4/15,11/41) -> (23/41,32/57) Hyperbolic Matrix(361,-98,792,-215) (10/37,3/11) -> (5/11,16/35) Hyperbolic Matrix(683,-192,900,-253) (7/25,9/32) -> (3/4,19/25) Hyperbolic Matrix(289,-82,504,-143) (9/32,2/7) -> (4/7,23/40) Hyperbolic Matrix(253,-74,612,-179) (2/7,5/17) -> (7/17,12/29) Hyperbolic Matrix(1331,-402,2268,-685) (3/10,10/33) -> (44/75,27/46) Hyperbolic Matrix(719,-222,936,-289) (4/13,9/29) -> (33/43,10/13) Hyperbolic Matrix(37,-12,108,-35) (5/16,1/3) -> (1/3,7/20) Parabolic Matrix(1441,-508,2448,-863) (19/54,6/17) -> (10/17,53/90) Hyperbolic Matrix(469,-166,1116,-395) (6/17,5/14) -> (21/50,8/19) Hyperbolic Matrix(2269,-816,2700,-971) (23/64,9/25) -> (21/25,37/44) Hyperbolic Matrix(791,-292,1368,-505) (7/19,10/27) -> (26/45,11/19) Hyperbolic Matrix(2089,-794,5112,-1943) (19/50,27/71) -> (29/71,9/22) Hyperbolic Matrix(3133,-1192,5580,-2123) (27/71,8/21) -> (32/57,41/73) Hyperbolic Matrix(3025,-1156,4896,-1871) (21/55,13/34) -> (21/34,55/89) Hyperbolic Matrix(1117,-442,1908,-755) (13/33,2/5) -> (24/41,65/111) Hyperbolic Matrix(361,-150,864,-359) (12/29,5/12) -> (5/12,18/43) Parabolic Matrix(1691,-708,1980,-829) (18/43,31/74) -> (29/34,6/7) Hyperbolic Matrix(3421,-1434,5580,-2339) (31/74,13/31) -> (19/31,65/106) Hyperbolic Matrix(1655,-722,2808,-1225) (17/39,7/16) -> (33/56,23/39) Hyperbolic Matrix(2161,-948,2952,-1295) (7/16,18/41) -> (30/41,41/56) Hyperbolic Matrix(5905,-2594,9504,-4175) (18/41,29/66) -> (41/66,64/103) Hyperbolic Matrix(289,-128,648,-287) (15/34,4/9) -> (4/9,17/38) Parabolic Matrix(1043,-480,1332,-613) (11/24,6/13) -> (18/23,47/60) Hyperbolic Matrix(469,-218,540,-251) (6/13,7/15) -> (13/15,20/23) Hyperbolic Matrix(577,-314,792,-431) (13/24,6/11) -> (8/11,35/48) Hyperbolic Matrix(181,-100,324,-179) (6/11,5/9) -> (5/9,14/25) Parabolic Matrix(827,-470,1332,-757) (17/30,4/7) -> (18/29,41/66) Hyperbolic Matrix(8243,-4744,14076,-8101) (42/73,19/33) -> (65/111,106/181) Hyperbolic Matrix(613,-354,684,-395) (15/26,26/45) -> (8/9,9/10) Hyperbolic Matrix(505,-294,864,-503) (18/31,7/12) -> (7/12,24/41) Parabolic Matrix(37909,-22202,52308,-30635) (106/181,41/70) -> (129/178,208/287) Hyperbolic Matrix(14975,-9184,20664,-12673) (65/106,46/75) -> (50/69,129/178) Hyperbolic Matrix(971,-596,1116,-685) (27/44,8/13) -> (20/23,7/8) Hyperbolic Matrix(863,-532,936,-577) (45/73,37/60) -> (11/12,1/1) Hyperbolic Matrix(4753,-2932,6768,-4175) (37/60,29/47) -> (33/47,59/84) Hyperbolic Matrix(325,-206,396,-251) (12/19,7/11) -> (9/11,14/17) Hyperbolic Matrix(2557,-1660,3492,-2267) (24/37,13/20) -> (41/56,52/71) Hyperbolic Matrix(397,-274,468,-323) (11/16,9/13) -> (11/13,17/20) Hyperbolic Matrix(1835,-1288,2412,-1693) (7/10,33/47) -> (19/25,35/46) Hyperbolic Matrix(2125,-1542,2628,-1907) (37/51,8/11) -> (38/47,17/21) Hyperbolic Matrix(253,-196,324,-251) (10/13,7/9) -> (7/9,18/23) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-2,1) Matrix(253,226,-684,-611) -> Matrix(1,-2,0,1) Matrix(181,160,612,541) -> Matrix(1,2,-2,-3) Matrix(251,218,-540,-469) -> Matrix(1,2,-2,-3) Matrix(361,312,1584,1369) -> Matrix(1,0,0,1) Matrix(793,684,2088,1801) -> Matrix(1,0,0,1) Matrix(323,274,-468,-397) -> Matrix(1,0,2,1) Matrix(109,92,-468,-395) -> Matrix(1,0,-2,1) Matrix(251,206,-396,-325) -> Matrix(1,0,2,1) Matrix(179,146,396,323) -> Matrix(1,0,0,1) Matrix(791,642,1152,935) -> Matrix(1,2,-4,-7) Matrix(1405,1138,2268,1837) -> Matrix(1,0,0,1) Matrix(361,292,-1512,-1223) -> Matrix(3,2,-2,-1) Matrix(503,406,1872,1511) -> Matrix(1,0,0,1) Matrix(397,314,684,541) -> Matrix(1,0,-2,1) Matrix(467,368,684,539) -> Matrix(1,-2,-2,5) Matrix(361,284,1008,793) -> Matrix(1,-2,0,1) Matrix(251,196,-324,-253) -> Matrix(1,-2,0,1) Matrix(215,166,1584,1223) -> Matrix(1,4,-2,-7) Matrix(539,416,2844,2195) -> Matrix(1,4,-2,-7) Matrix(431,332,-936,-721) -> Matrix(1,2,-2,-3) Matrix(107,82,-612,-469) -> Matrix(1,0,0,1) Matrix(577,440,1512,1153) -> Matrix(3,2,-8,-5) Matrix(253,192,-900,-683) -> Matrix(1,0,-2,1) Matrix(181,134,828,613) -> Matrix(1,0,-4,1) Matrix(683,504,828,611) -> Matrix(3,-2,-4,3) Matrix(647,476,-2448,-1801) -> Matrix(7,-8,8,-9) Matrix(253,186,540,397) -> Matrix(3,-4,-2,3) Matrix(1295,948,-2952,-2161) -> Matrix(1,-4,0,1) Matrix(6479,4740,8856,6479) -> Matrix(1,-14,-2,29) Matrix(10585,7742,14472,10585) -> Matrix(1,14,-2,-27) Matrix(361,264,1872,1369) -> Matrix(1,6,-2,-11) Matrix(397,290,1332,973) -> Matrix(1,0,-2,1) Matrix(431,314,-792,-577) -> Matrix(1,-2,0,1) Matrix(251,182,-1044,-757) -> Matrix(1,-4,0,1) Matrix(2017,1462,4968,3601) -> Matrix(1,-4,0,1) Matrix(4319,3130,-14904,-10801) -> Matrix(1,-2,-2,5) Matrix(2449,1774,4176,3025) -> Matrix(1,-2,-2,5) Matrix(755,546,1044,755) -> Matrix(1,-8,-2,17) Matrix(181,130,252,181) -> Matrix(1,2,-2,-3) Matrix(107,76,252,179) -> Matrix(1,2,-2,-3) Matrix(613,432,972,685) -> Matrix(1,0,-2,1) Matrix(1223,860,1944,1367) -> Matrix(5,4,-14,-11) Matrix(1153,810,-5328,-3743) -> Matrix(3,2,4,3) Matrix(325,228,-1692,-1187) -> Matrix(11,6,-2,-1) Matrix(685,478,1188,829) -> Matrix(1,0,2,1) Matrix(721,502,1656,1153) -> Matrix(1,0,2,1) Matrix(1151,800,1656,1151) -> Matrix(1,0,12,1) Matrix(649,450,936,649) -> Matrix(1,0,-10,1) Matrix(215,148,-1152,-793) -> Matrix(5,-2,-2,1) Matrix(935,642,1152,791) -> Matrix(3,-2,-4,3) Matrix(2521,1728,3888,2665) -> Matrix(11,-10,-12,11) Matrix(1405,962,2052,1405) -> Matrix(3,-4,-8,11) Matrix(539,368,684,467) -> Matrix(1,-2,-2,5) Matrix(467,304,828,539) -> Matrix(1,2,-2,-3) Matrix(937,608,-4104,-2663) -> Matrix(3,4,-4,-5) Matrix(2665,1728,3888,2521) -> Matrix(9,10,-28,-31) Matrix(1189,770,1836,1189) -> Matrix(3,2,-2,-1) Matrix(251,162,612,395) -> Matrix(3,2,-2,-1) Matrix(829,532,1404,901) -> Matrix(5,2,-8,-3) Matrix(253,162,-1404,-899) -> Matrix(7,2,-4,-1) Matrix(1151,736,1800,1151) -> Matrix(1,0,8,1) Matrix(505,322,792,505) -> Matrix(1,0,-6,1) Matrix(1223,774,2160,1367) -> Matrix(3,-2,-4,3) Matrix(1009,638,1368,865) -> Matrix(3,-2,-10,7) Matrix(685,432,972,613) -> Matrix(1,0,-2,1) Matrix(1367,860,1944,1223) -> Matrix(3,-4,-2,3) Matrix(217,136,576,361) -> Matrix(1,-2,-2,5) Matrix(215,134,576,359) -> Matrix(1,0,-2,1) Matrix(757,470,-1332,-827) -> Matrix(1,-2,0,1) Matrix(3887,2412,6264,3887) -> Matrix(1,-6,-2,13) Matrix(10585,6566,17064,10585) -> Matrix(1,14,-2,-27) Matrix(287,178,2088,1295) -> Matrix(1,6,-2,-11) Matrix(613,380,-2844,-1763) -> Matrix(1,2,0,1) Matrix(359,222,1512,935) -> Matrix(3,-2,-4,3) Matrix(1871,1156,-4896,-3025) -> Matrix(3,-4,4,-5) Matrix(1079,666,2448,1511) -> Matrix(1,-2,-2,5) Matrix(1871,1154,-8640,-5329) -> Matrix(1,-2,2,-3) Matrix(2809,1732,-12960,-7991) -> Matrix(1,-2,0,1) Matrix(1837,1132,4500,2773) -> Matrix(1,-4,0,1) Matrix(433,266,-936,-575) -> Matrix(1,-2,-2,5) Matrix(2341,1436,6516,3997) -> Matrix(1,-6,0,1) Matrix(1295,794,-4464,-2737) -> Matrix(1,-4,-2,9) Matrix(683,418,1116,683) -> Matrix(1,-12,-2,25) Matrix(109,66,180,109) -> Matrix(1,2,-2,-3) Matrix(37,22,-180,-107) -> Matrix(1,2,0,1) Matrix(143,84,1224,719) -> Matrix(3,4,-4,-5) Matrix(1223,718,4536,2663) -> Matrix(1,0,-2,1) Matrix(685,402,-2268,-1331) -> Matrix(1,0,0,1) Matrix(503,294,-864,-505) -> Matrix(1,2,-2,-3) Matrix(1693,984,3780,2197) -> Matrix(1,0,2,1) Matrix(613,356,-1548,-899) -> Matrix(1,0,-2,1) Matrix(541,314,684,397) -> Matrix(1,0,-2,1) Matrix(505,292,-1368,-791) -> Matrix(3,2,-2,-1) Matrix(829,478,1188,685) -> Matrix(1,0,2,1) Matrix(143,82,-504,-289) -> Matrix(1,0,-2,1) Matrix(2483,1408,-5652,-3205) -> Matrix(1,2,0,1) Matrix(685,388,828,469) -> Matrix(1,2,-2,-3) Matrix(503,284,1656,935) -> Matrix(1,2,-2,-3) Matrix(539,304,828,467) -> Matrix(1,2,-2,-3) Matrix(179,100,-324,-181) -> Matrix(1,-2,0,1) Matrix(685,376,-2556,-1403) -> Matrix(1,2,2,5) Matrix(289,158,792,433) -> Matrix(1,2,-2,-3) Matrix(2341,1270,2988,1621) -> Matrix(1,0,-2,1) Matrix(215,116,-936,-505) -> Matrix(1,2,0,1) Matrix(179,96,468,251) -> Matrix(1,2,-4,-7) Matrix(397,186,540,253) -> Matrix(5,4,-14,-11) Matrix(1943,892,2664,1223) -> Matrix(3,2,-8,-5) Matrix(215,98,-792,-361) -> Matrix(1,0,4,1) Matrix(323,146,396,179) -> Matrix(1,0,0,1) Matrix(325,146,1044,469) -> Matrix(1,0,0,1) Matrix(287,128,-648,-289) -> Matrix(1,0,4,1) Matrix(2341,1034,3996,1765) -> Matrix(3,-2,-4,3) Matrix(1511,666,2448,1079) -> Matrix(1,-2,-2,5) Matrix(1511,664,1800,791) -> Matrix(1,-2,-2,5) Matrix(829,364,2052,901) -> Matrix(1,-2,0,1) Matrix(1405,616,-6156,-2699) -> Matrix(1,2,-2,-3) Matrix(541,236,-2556,-1115) -> Matrix(1,0,2,1) Matrix(1153,502,1656,721) -> Matrix(1,0,2,1) Matrix(37,16,252,109) -> Matrix(1,0,-2,1) Matrix(179,76,252,107) -> Matrix(1,2,-2,-3) Matrix(395,166,-1116,-469) -> Matrix(1,2,-2,-3) Matrix(325,136,-1116,-467) -> Matrix(3,4,-4,-5) Matrix(179,74,-612,-253) -> Matrix(3,2,-2,-1) Matrix(395,162,612,251) -> Matrix(3,2,-2,-1) Matrix(1943,794,-5112,-2089) -> Matrix(3,2,-2,-1) Matrix(505,206,1944,793) -> Matrix(7,4,-16,-9) Matrix(251,102,972,395) -> Matrix(3,2,-8,-5) Matrix(3601,1462,4968,2017) -> Matrix(7,4,-16,-9) Matrix(2483,1006,3996,1619) -> Matrix(3,2,-8,-5) Matrix(1441,568,-5112,-2015) -> Matrix(1,0,2,1) Matrix(2053,808,3204,1261) -> Matrix(1,0,4,1) Matrix(107,42,-828,-325) -> Matrix(7,2,-4,-1) Matrix(323,126,828,323) -> Matrix(1,0,10,1) Matrix(181,70,468,181) -> Matrix(1,0,-6,1) Matrix(251,96,468,179) -> Matrix(3,-2,-4,3) Matrix(12817,4896,20736,7921) -> Matrix(13,-12,-40,37) Matrix(12815,4894,20736,7919) -> Matrix(13,-14,-38,41) Matrix(1153,440,1512,577) -> Matrix(1,-2,0,1) Matrix(683,260,-2556,-973) -> Matrix(1,0,2,1) Matrix(6013,2286,9756,3709) -> Matrix(1,-2,-2,5) Matrix(1801,684,2088,793) -> Matrix(1,0,0,1) Matrix(6479,2460,17064,6479) -> Matrix(1,0,4,1) Matrix(2377,902,6264,2377) -> Matrix(1,0,-6,1) Matrix(2845,1078,3708,1405) -> Matrix(3,-2,-4,3) Matrix(2123,804,5796,2195) -> Matrix(1,0,-2,1) Matrix(361,136,576,217) -> Matrix(1,-2,-2,5) Matrix(359,134,576,215) -> Matrix(1,0,-2,1) Matrix(577,214,1944,721) -> Matrix(1,2,-2,-3) Matrix(5003,1850,-23076,-8533) -> Matrix(1,2,0,1) Matrix(4247,1570,5256,1943) -> Matrix(1,2,0,1) Matrix(109,40,-684,-251) -> Matrix(1,0,0,1) Matrix(2195,804,5796,2123) -> Matrix(1,0,-2,1) Matrix(1295,474,-5904,-2161) -> Matrix(1,0,2,1) Matrix(827,302,1476,539) -> Matrix(1,0,-2,1) Matrix(287,104,792,287) -> Matrix(1,2,-2,-3) Matrix(649,234,1800,649) -> Matrix(5,4,-4,-3) Matrix(217,78,-1800,-647) -> Matrix(5,4,-4,-3) Matrix(3997,1436,6516,2341) -> Matrix(11,6,-24,-13) Matrix(793,284,1008,361) -> Matrix(3,2,-8,-5) Matrix(253,90,1116,397) -> Matrix(1,0,0,1) Matrix(35,12,-108,-37) -> Matrix(1,0,2,1) Matrix(577,182,-2736,-863) -> Matrix(1,-2,2,-3) Matrix(1367,430,3888,1223) -> Matrix(1,-2,0,1) Matrix(217,68,1152,361) -> Matrix(1,2,-2,-3) Matrix(469,146,1044,325) -> Matrix(1,0,0,1) Matrix(181,56,-1044,-323) -> Matrix(1,-2,0,1) Matrix(287,88,936,287) -> Matrix(1,-2,-2,5) Matrix(505,154,1656,505) -> Matrix(1,4,-2,-7) Matrix(935,284,1656,503) -> Matrix(1,2,-2,-3) Matrix(2843,860,3924,1187) -> Matrix(1,-2,-2,5) Matrix(973,290,1332,397) -> Matrix(1,0,-2,1) Matrix(721,214,1944,577) -> Matrix(1,2,-2,-3) Matrix(541,160,612,181) -> Matrix(1,2,-2,-3) Matrix(217,64,1224,361) -> Matrix(3,4,-4,-5) Matrix(5255,1522,-18648,-5401) -> Matrix(1,0,0,1) Matrix(505,146,-2736,-791) -> Matrix(7,4,-2,-1) Matrix(71855,20246,99144,27935) -> Matrix(7,4,-16,-9) Matrix(72793,20508,100440,28297) -> Matrix(1,0,0,1) Matrix(3743,1054,10224,2879) -> Matrix(1,0,2,1) Matrix(613,172,-3204,-899) -> Matrix(15,4,-4,-1) Matrix(251,70,900,251) -> Matrix(1,0,8,1) Matrix(109,30,396,109) -> Matrix(1,0,-6,1) Matrix(1441,390,2664,721) -> Matrix(7,-4,-12,7) Matrix(37,10,-396,-107) -> Matrix(1,0,-2,1) Matrix(1511,406,1872,503) -> Matrix(1,0,0,1) Matrix(3887,1044,14472,3887) -> Matrix(1,0,4,1) Matrix(2377,638,8856,2377) -> Matrix(1,0,-10,1) Matrix(4751,1272,8064,2159) -> Matrix(7,-2,-10,3) Matrix(1115,296,2844,755) -> Matrix(3,-2,8,-5) Matrix(649,172,-3528,-935) -> Matrix(11,-8,-4,3) Matrix(3817,1008,5184,1369) -> Matrix(15,-14,-46,43) Matrix(3815,1006,5184,1367) -> Matrix(15,-16,-44,47) Matrix(503,132,1368,359) -> Matrix(1,-2,0,1) Matrix(793,206,1944,505) -> Matrix(1,-4,0,1) Matrix(395,102,972,251) -> Matrix(1,-2,0,1) Matrix(685,164,756,181) -> Matrix(1,2,-2,-3) Matrix(935,222,1512,359) -> Matrix(1,2,-4,-7) Matrix(145,34,-1224,-287) -> Matrix(5,4,-4,-3) Matrix(1693,396,3852,901) -> Matrix(3,2,-8,-5) Matrix(1153,264,2520,577) -> Matrix(1,2,0,1) Matrix(1369,312,1584,361) -> Matrix(1,0,0,1) Matrix(937,212,2232,505) -> Matrix(1,2,-2,-3) Matrix(143,32,-648,-145) -> Matrix(1,0,2,1) Matrix(3023,662,5256,1151) -> Matrix(1,0,-2,1) Matrix(613,134,828,181) -> Matrix(1,0,-4,1) Matrix(1585,344,5976,1297) -> Matrix(3,-2,-10,7) Matrix(2159,466,2664,575) -> Matrix(1,-2,0,1) Matrix(647,138,1008,215) -> Matrix(1,0,0,1) Matrix(2771,586,4932,1043) -> Matrix(1,0,-4,1) Matrix(7633,1612,12960,2737) -> Matrix(7,-2,-10,3) Matrix(1369,264,1872,361) -> Matrix(1,6,-2,-11) Matrix(2089,396,2664,505) -> Matrix(1,2,-2,-3) Matrix(467,88,1332,251) -> Matrix(1,2,0,1) Matrix(539,100,-2916,-541) -> Matrix(1,-2,0,1) Matrix(937,172,4320,793) -> Matrix(1,2,-2,-3) Matrix(793,142,2016,361) -> Matrix(1,2,0,1) Matrix(361,64,1224,217) -> Matrix(3,4,-4,-5) Matrix(791,136,2088,359) -> Matrix(1,2,-4,-7) Matrix(179,28,684,107) -> Matrix(3,2,-8,-5) Matrix(109,16,252,37) -> Matrix(1,0,-2,1) Matrix(1295,178,2088,287) -> Matrix(1,6,-2,-11) Matrix(1045,142,1332,181) -> Matrix(1,2,-2,-3) Matrix(287,38,1080,143) -> Matrix(1,4,-4,-15) Matrix(719,84,1224,143) -> Matrix(3,4,-4,-5) Matrix(613,64,1044,109) -> Matrix(1,0,0,1) Matrix(107,-10,396,-37) -> Matrix(1,0,-2,1) Matrix(757,-90,900,-107) -> Matrix(5,4,-14,-11) Matrix(325,-42,828,-107) -> Matrix(3,2,4,3) Matrix(251,-40,684,-109) -> Matrix(1,0,0,1) Matrix(469,-82,612,-107) -> Matrix(1,0,0,1) Matrix(899,-162,1404,-253) -> Matrix(3,2,4,3) Matrix(935,-172,3528,-649) -> Matrix(13,8,-44,-27) Matrix(1657,-306,1944,-359) -> Matrix(7,4,-16,-9) Matrix(827,-154,972,-181) -> Matrix(3,2,-8,-5) Matrix(1151,-220,1512,-289) -> Matrix(7,4,-2,-1) Matrix(107,-22,180,-37) -> Matrix(5,2,-8,-3) Matrix(1763,-380,2844,-613) -> Matrix(5,2,-8,-3) Matrix(3743,-810,5328,-1153) -> Matrix(7,2,-4,-1) Matrix(1513,-328,1656,-359) -> Matrix(1,0,0,1) Matrix(145,-32,648,-143) -> Matrix(1,0,2,1) Matrix(1871,-422,5112,-1153) -> Matrix(1,0,0,1) Matrix(3349,-764,4572,-1043) -> Matrix(1,-2,-2,5) Matrix(505,-116,936,-215) -> Matrix(5,2,-8,-3) Matrix(395,-92,468,-109) -> Matrix(1,0,-2,1) Matrix(757,-182,1044,-251) -> Matrix(7,4,-16,-9) Matrix(1801,-476,2448,-647) -> Matrix(25,8,-72,-23) Matrix(1657,-444,2952,-791) -> Matrix(1,0,2,1) Matrix(361,-98,792,-215) -> Matrix(1,0,4,1) Matrix(683,-192,900,-253) -> Matrix(1,0,-2,1) Matrix(289,-82,504,-143) -> Matrix(1,0,-2,1) Matrix(253,-74,612,-179) -> Matrix(3,2,-2,-1) Matrix(1331,-402,2268,-685) -> Matrix(1,0,0,1) Matrix(719,-222,936,-289) -> Matrix(5,2,-8,-3) Matrix(37,-12,108,-35) -> Matrix(1,0,2,1) Matrix(1441,-508,2448,-863) -> Matrix(3,4,-4,-5) Matrix(469,-166,1116,-395) -> Matrix(1,2,-2,-3) Matrix(2269,-816,2700,-971) -> Matrix(1,0,-2,1) Matrix(791,-292,1368,-505) -> Matrix(3,2,-2,-1) Matrix(2089,-794,5112,-1943) -> Matrix(3,2,-2,-1) Matrix(3133,-1192,5580,-2123) -> Matrix(1,0,0,1) Matrix(3025,-1156,4896,-1871) -> Matrix(13,4,-36,-11) Matrix(1117,-442,1908,-755) -> Matrix(3,-2,-4,3) Matrix(361,-150,864,-359) -> Matrix(5,6,-6,-7) Matrix(1691,-708,1980,-829) -> Matrix(5,4,-14,-11) Matrix(3421,-1434,5580,-2339) -> Matrix(21,16,-46,-35) Matrix(1655,-722,2808,-1225) -> Matrix(1,2,-2,-3) Matrix(2161,-948,2952,-1295) -> Matrix(7,4,-16,-9) Matrix(5905,-2594,9504,-4175) -> Matrix(1,0,0,1) Matrix(289,-128,648,-287) -> Matrix(1,0,4,1) Matrix(1043,-480,1332,-613) -> Matrix(1,0,-2,1) Matrix(469,-218,540,-251) -> Matrix(1,2,-2,-3) Matrix(577,-314,792,-431) -> Matrix(3,2,-8,-5) Matrix(181,-100,324,-179) -> Matrix(3,2,-8,-5) Matrix(827,-470,1332,-757) -> Matrix(3,2,-8,-5) Matrix(8243,-4744,14076,-8101) -> Matrix(5,2,-8,-3) Matrix(613,-354,684,-395) -> Matrix(1,0,-2,1) Matrix(505,-294,864,-503) -> Matrix(1,2,-2,-3) Matrix(37909,-22202,52308,-30635) -> Matrix(7,4,-16,-9) Matrix(14975,-9184,20664,-12673) -> Matrix(5,2,-8,-3) Matrix(971,-596,1116,-685) -> Matrix(9,4,-16,-7) Matrix(863,-532,936,-577) -> Matrix(5,2,-8,-3) Matrix(4753,-2932,6768,-4175) -> Matrix(1,0,2,1) Matrix(325,-206,396,-251) -> Matrix(1,0,2,1) Matrix(2557,-1660,3492,-2267) -> Matrix(13,10,-30,-23) Matrix(397,-274,468,-323) -> Matrix(1,0,2,1) Matrix(1835,-1288,2412,-1693) -> Matrix(1,2,0,1) Matrix(2125,-1542,2628,-1907) -> Matrix(5,2,2,1) Matrix(253,-196,324,-251) -> Matrix(3,2,-8,-5) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 68 Degree of the the map X: 68 Degree of the the map Y: 288 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow halted computation of the slope function at slope -1104832/800737 during the modular group computation. This caused the modular group computation to abort.