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): 2016 Minimal number of generators: 337 Number of equivalence classes of cusps: 96 Genus: 121 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -11/24 -10/23 -9/22 -8/21 -7/20 -1/3 -5/18 -4/17 -3/16 -1/7 0/1 2/11 5/21 3/10 1/3 7/19 4/9 1/2 14/25 5/8 5/7 11/15 6/7 1/1 7/6 57/47 15/11 7/5 3/2 79/51 11/7 8/5 5/3 33/19 25/14 9/5 17/9 2/1 11/5 9/4 7/3 73/31 64/27 55/23 37/15 5/2 28/11 75/29 13/5 19/7 153/55 77/27 3/1 16/5 10/3 17/5 121/35 7/2 25/7 61/17 51/14 11/3 41/11 19/5 103/27 4/1 21/5 17/4 13/3 22/5 9/2 32/7 23/5 14/3 19/4 43/9 5/1 21/4 16/3 11/2 17/3 6/1 19/3 32/5 45/7 13/2 20/3 7/1 15/2 23/3 8/1 17/2 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 -1/1 -1/2 -1/2 -8/17 -1/3 0/1 -7/15 -1/1 -6/13 -2/3 -3/5 -11/24 -1/2 -5/11 -2/5 -14/31 -2/5 -1/3 -9/20 -1/4 -13/29 -1/3 -30/67 -1/5 0/1 -17/38 -1/6 -4/9 -1/1 0/1 -15/34 -3/2 -11/25 -2/3 -18/41 -1/1 -2/3 -7/16 -5/8 -17/39 -6/11 -10/23 -1/2 -13/30 -1/2 -3/7 -1/3 -14/33 -1/3 -2/7 -39/92 -1/4 -25/59 0/1 -11/26 -1/6 -8/19 0/1 1/1 -13/31 0/1 -18/43 0/1 1/1 -5/12 1/0 -22/53 -1/1 -2/3 -17/41 -1/1 -12/29 -2/1 -1/1 -19/46 -11/14 -26/63 -5/7 -2/3 -33/80 -11/16 -7/17 -2/3 -16/39 -4/7 -5/9 -9/22 -1/2 -11/27 -3/7 -2/5 -1/3 0/1 -13/33 1/1 -11/28 1/0 -9/23 0/1 -25/64 -1/2 -16/41 -1/1 0/1 -7/18 -1/2 -19/49 0/1 -12/31 0/1 1/1 -17/44 -7/4 -22/57 -8/7 -1/1 -5/13 -1/1 -18/47 -1/1 -2/3 -13/34 -1/2 -8/21 -1/2 -19/50 -1/2 -30/79 -3/7 -2/5 -41/108 -5/12 -11/29 -2/5 -3/8 -1/4 -16/43 -1/1 0/1 -13/35 0/1 -10/27 -2/5 -1/3 -27/73 -2/5 -17/46 -3/10 -7/19 -1/5 -18/49 -1/7 0/1 -11/30 -1/10 -4/11 0/1 1/1 -17/47 0/1 -13/36 -3/4 -9/25 -1/3 -23/64 -1/4 -14/39 -1/3 0/1 -19/53 0/1 -5/14 1/2 -16/45 -1/1 0/1 -11/31 -1/1 -17/48 1/0 -23/65 -2/3 -6/17 -1/1 0/1 -7/20 -1/2 -8/23 -1/3 0/1 -1/3 0/1 -7/22 1/2 -6/19 1/0 -5/16 1/0 -19/61 0/1 -33/106 -3/2 -14/45 -1/1 -2/3 -9/29 -1/3 -4/13 -1/3 0/1 -11/36 3/8 -7/23 1/1 -17/56 1/0 -10/33 -2/1 -1/1 -13/43 -2/1 -3/10 -1/2 -8/27 0/1 1/5 -13/44 1/4 -5/17 1/1 -12/41 2/3 1/1 -7/24 1/0 -16/55 1/0 -9/31 -2/1 -11/38 -5/6 -2/7 0/1 1/1 -7/25 2/1 -5/18 1/0 -13/47 -4/1 -21/76 1/0 -29/105 -3/1 -8/29 -3/1 -2/1 -11/40 1/0 -3/11 -1/1 -10/37 -1/3 0/1 -7/26 -1/2 -11/41 0/1 -15/56 -1/4 -4/15 0/1 1/1 -9/34 7/2 -14/53 1/0 -5/19 -2/1 -6/23 -1/1 0/1 -7/27 -1/1 -8/31 -1/1 0/1 -1/4 1/0 -5/21 1/1 -4/17 1/0 -11/47 -7/1 -7/30 -9/2 -3/13 -2/1 -17/74 -13/6 -14/61 -2/1 -9/5 -11/48 1/0 -8/35 -3/1 -2/1 -13/57 -1/1 -18/79 -3/1 -2/1 -5/22 -3/2 -7/31 -1/1 -16/71 -1/1 0/1 -9/40 1/0 -2/9 -1/1 0/1 -7/32 -11/4 -12/55 -15/7 -2/1 -17/78 -19/10 -5/23 -2/1 -3/14 -3/2 -4/19 -1/1 -2/3 -13/62 -1/2 -9/43 0/1 -14/67 -2/1 -1/1 -5/24 1/0 -1/5 -1/1 -4/21 0/1 1/1 -3/16 1/0 -8/43 -6/1 -5/1 -5/27 -4/1 -2/11 -3/1 -2/1 -7/39 -3/1 -12/67 -11/5 -2/1 -5/28 -7/4 -3/17 -4/3 -7/40 -9/8 -4/23 -1/1 -2/3 -1/6 -3/2 -4/25 -1/1 -8/9 -7/44 -3/4 -3/19 -1/1 -5/32 -7/12 -2/13 -1/1 0/1 -3/20 1/0 -4/27 -4/3 -1/1 -5/34 -5/6 -1/7 0/1 -2/15 1/0 -1/8 1/0 -1/9 -1/1 -2/19 -12/11 -1/1 -1/10 -5/6 0/1 -1/1 0/1 1/9 0/1 1/8 -5/4 1/7 -1/1 2/13 -1/1 0/1 1/6 -1/2 4/23 -2/3 -3/5 7/40 -3/4 3/17 -3/5 2/11 -1/2 5/27 -1/3 3/16 -1/4 4/21 -1/5 0/1 1/5 0/1 3/14 -1/2 2/9 -1/1 0/1 3/13 -1/1 7/30 -3/2 4/17 -8/7 -1/1 5/21 -1/1 6/25 -1/1 -14/15 1/4 -3/4 5/19 -1/1 9/34 -3/2 4/15 -2/1 -1/1 3/11 -4/5 14/51 -3/4 11/40 -3/4 8/29 -8/11 -5/7 13/47 -5/7 5/18 -7/10 2/7 -2/3 -3/5 13/45 -2/3 11/38 -1/2 9/31 -1/1 7/24 -5/8 19/65 -3/5 12/41 -14/23 -3/5 5/17 -4/7 3/10 -1/2 4/13 -1/3 0/1 9/29 -2/5 14/45 -1/3 -2/7 5/16 -1/4 16/51 -1/3 0/1 11/35 0/1 6/19 -1/7 0/1 1/3 -1/1 7/20 -1/8 6/17 0/1 1/1 11/31 -2/1 5/14 -1/2 14/39 -1/1 -2/3 23/64 1/0 9/25 0/1 4/11 -2/1 -1/1 7/19 -1/1 10/27 -1/1 -8/9 3/8 -3/4 8/21 -1/1 -4/5 21/55 -1/1 13/34 -5/6 5/13 -2/3 7/18 -11/18 9/23 -5/9 11/28 -1/2 2/5 -1/1 0/1 9/22 -1/2 7/17 -1/1 26/63 -1/1 -4/5 19/46 -3/4 12/29 -1/1 -2/3 5/12 -3/4 8/19 -2/3 -3/5 27/64 -1/2 19/45 -1/1 11/26 -1/2 14/33 -9/13 -2/3 3/7 -2/3 16/37 -2/3 -3/5 13/30 -13/22 10/23 -3/5 -10/17 17/39 -3/5 7/16 -9/16 4/9 -1/2 5/11 -1/3 16/35 -2/5 -1/3 27/59 0/1 11/24 -1/4 6/13 -1/1 0/1 7/15 0/1 8/17 -1/1 0/1 1/2 -1/2 7/13 -1/1 13/24 1/0 6/11 -1/1 0/1 17/31 -1/3 11/20 1/0 16/29 -2/1 -1/1 5/9 -2/3 19/34 -1/2 14/25 -1/2 23/41 -9/19 55/98 -1/2 32/57 -7/15 -6/13 9/16 -7/16 4/7 -1/3 0/1 11/19 0/1 18/31 -1/1 -2/3 25/43 -1/3 7/12 1/0 24/41 -1/2 17/29 0/1 27/46 -1/2 10/17 0/1 1/1 13/22 -1/2 3/5 -1/1 17/28 -3/4 31/51 0/1 14/23 -1/1 -4/5 39/64 -3/4 25/41 -8/11 11/18 -1/2 41/67 -5/7 30/49 -17/25 -2/3 19/31 -2/3 27/44 -3/4 8/13 -2/3 -3/5 5/8 -1/2 12/19 -4/9 -3/7 19/30 -1/2 26/41 -4/9 -3/7 7/11 -2/5 16/25 -2/5 -5/13 41/64 -3/8 25/39 -7/19 9/14 -1/2 29/45 -4/11 20/31 -10/29 -1/3 51/79 -1/3 31/48 -13/40 11/17 -1/3 13/20 -3/8 2/3 -1/3 0/1 15/22 1/2 13/19 1/1 11/16 -5/4 20/29 -1/1 -4/5 9/13 -2/3 7/10 -1/2 19/27 -2/5 12/17 -1/3 -2/7 17/24 -1/4 22/31 -1/3 0/1 5/7 -1/3 23/32 -1/4 41/57 0/1 18/25 -1/5 0/1 31/43 -2/9 13/18 -1/6 34/47 -1/7 0/1 55/76 -1/16 21/29 0/1 29/40 -1/4 8/11 -1/7 0/1 11/15 0/1 14/19 0/1 1/7 3/4 1/0 16/21 -2/1 -1/1 13/17 -2/3 23/30 -1/2 33/43 -1/1 10/13 -1/1 -2/3 7/9 -1/3 18/23 -1/3 -2/7 11/14 -3/14 15/19 0/1 4/5 0/1 1/1 13/16 -1/4 9/11 1/1 23/28 1/0 14/17 -2/1 -1/1 19/23 0/1 24/29 -1/1 0/1 5/6 -1/2 16/19 -2/1 -1/1 11/13 -1/1 6/7 -1/2 13/15 -1/3 7/8 -1/4 15/17 -1/3 8/9 -1/3 0/1 1/1 0/1 9/8 1/0 17/15 1/1 25/22 -1/2 8/7 0/1 1/1 7/6 1/0 20/17 -2/1 -1/1 33/28 -5/4 13/11 -1/1 19/16 1/0 6/5 -1/1 0/1 23/19 -2/1 40/33 -4/3 -1/1 57/47 -1/1 74/61 -1/1 -6/7 17/14 -1/2 28/23 -1/1 -4/5 39/32 -3/4 11/9 -1/1 5/4 -1/4 14/11 0/1 1/1 9/7 1/1 22/17 1/0 13/10 -3/2 30/23 -1/1 -6/7 47/36 -3/4 17/13 0/1 4/3 -1/3 0/1 15/11 0/1 26/19 0/1 1/19 11/8 1/8 51/37 1/5 40/29 0/1 1/5 69/50 1/6 29/21 0/1 47/34 1/6 18/13 0/1 1/5 61/44 1/4 43/31 2/9 25/18 3/10 57/41 0/1 89/64 1/4 121/87 1/3 32/23 0/1 1/3 7/5 1/3 17/12 3/4 10/7 1/1 2/1 23/16 1/0 13/9 0/1 16/11 -1/1 0/1 3/2 1/2 20/13 1/1 4/3 37/24 5/4 54/35 1/1 2/1 17/11 1/1 65/42 3/2 48/31 1/1 2/1 79/51 2/1 31/20 1/0 14/9 0/1 1/1 39/25 1/1 64/41 1/1 2/1 89/57 2/1 25/16 1/0 11/7 2/1 8/5 1/0 21/13 -4/1 34/21 -4/1 -3/1 81/50 -31/10 47/29 -3/1 13/8 1/0 44/27 -2/1 -1/1 75/46 -5/2 31/19 -2/1 80/49 -27/13 -2/1 129/79 -2/1 49/30 -19/10 18/11 -2/1 -1/1 41/25 -2/1 23/14 -3/2 74/45 -1/1 -4/5 51/31 0/1 28/17 0/1 1/1 5/3 -1/1 17/10 -7/10 46/27 -8/13 -3/5 75/44 -7/12 29/17 -4/7 41/24 -1/2 53/31 -5/11 12/7 -1/3 0/1 55/32 1/0 43/25 -1/1 31/18 -1/2 50/29 -1/3 0/1 19/11 0/1 26/15 -1/5 0/1 33/19 0/1 40/23 0/1 1/5 7/4 1/0 16/9 -1/1 0/1 57/32 1/0 41/23 1/1 25/14 1/0 59/33 -1/1 34/19 -2/1 -1/1 77/43 -1/1 43/24 1/0 9/5 0/1 20/11 -1/1 0/1 51/28 -11/16 31/17 -3/5 11/6 -1/2 35/19 0/1 24/13 -1/3 0/1 13/7 -1/3 15/8 -1/8 17/9 0/1 19/10 1/10 2/1 0/1 1/1 19/9 1/1 17/8 9/8 15/7 2/1 13/6 3/2 37/17 2/1 24/11 2/1 3/1 83/38 7/2 59/27 4/1 35/16 1/0 46/21 1/1 2/1 11/5 3/1 9/4 1/0 25/11 -7/1 16/7 -5/1 -4/1 39/17 -3/1 23/10 -7/2 53/23 -3/1 30/13 -3/1 -2/1 37/16 1/0 44/19 -4/1 -3/1 7/3 -2/1 40/17 -11/5 -2/1 73/31 -2/1 106/45 -2/1 -33/17 33/14 -11/6 26/11 -2/1 -5/3 71/30 -3/2 45/19 -11/7 109/46 -3/2 64/27 -3/2 19/8 -11/8 31/13 -1/1 43/18 -15/14 55/23 -1/1 67/28 -19/20 12/5 -1/1 -2/3 17/7 -1/1 73/30 -1/2 129/53 0/1 56/23 -1/1 0/1 39/16 1/0 22/9 -2/1 -1/1 27/11 -2/1 32/13 -6/5 -1/1 37/15 -1/1 5/2 -1/2 28/11 -1/2 51/20 -3/8 74/29 -4/11 -1/3 23/9 -1/3 64/25 -1/3 0/1 41/16 1/0 18/7 -1/3 0/1 31/12 -1/8 75/29 0/1 119/46 1/26 44/17 0/1 1/9 13/5 0/1 34/13 -2/1 -1/1 21/8 1/0 29/11 -3/5 66/25 -1/2 37/14 -1/2 8/3 -1/3 0/1 19/7 0/1 30/11 0/1 1/11 11/4 1/4 47/17 1/3 36/13 0/1 1/3 25/9 0/1 89/32 1/4 153/55 1/3 217/78 5/14 64/23 1/3 2/5 39/14 1/2 14/5 2/3 1/1 45/16 3/4 31/11 2/1 17/6 -1/2 37/13 0/1 57/20 -1/16 77/27 0/1 20/7 0/1 1/7 23/8 1/4 3/1 1/1 22/7 5/3 2/1 19/6 13/6 16/5 3/1 4/1 45/14 5/2 119/37 3/1 74/23 3/1 16/5 29/9 4/1 13/4 1/0 10/3 1/0 27/8 1/0 17/5 -6/1 58/17 -6/1 -5/1 41/12 1/0 106/31 -3/1 -2/1 65/19 -7/1 24/7 -5/1 -4/1 31/9 -3/1 69/20 1/0 38/11 -4/1 -3/1 121/35 -3/1 83/24 1/0 45/13 -4/1 52/15 -4/1 -3/1 7/2 -5/2 25/7 -1/1 43/12 1/0 61/17 -2/1 79/22 -3/2 18/5 -2/1 -1/1 29/8 1/0 69/19 -1/1 109/30 -3/2 40/11 -1/1 0/1 91/25 -1/1 51/14 1/0 11/3 -2/1 26/7 -8/7 -1/1 41/11 -1/1 56/15 -1/1 -14/15 15/4 -3/4 34/9 -1/1 0/1 87/23 0/1 53/14 -1/2 19/5 -1/1 61/16 -13/12 103/27 -1/1 42/11 -1/1 -10/11 23/6 -1/2 4/1 -1/1 0/1 21/5 0/1 38/9 0/1 1/9 17/4 1/4 47/11 0/1 77/18 3/10 30/7 0/1 1/3 43/10 1/2 56/13 0/1 1/1 13/3 1/1 22/5 0/1 1/1 9/2 1/2 32/7 1/2 55/12 3/4 78/17 2/3 1/1 23/5 1/1 14/3 1/1 2/1 19/4 3/4 43/9 1/1 67/14 15/14 24/5 1/1 6/5 5/1 2/1 36/7 2/1 3/1 31/6 5/2 26/5 3/1 10/3 21/4 17/4 16/3 6/1 7/1 11/2 1/0 28/5 -12/1 -11/1 45/8 1/0 17/3 -7/1 57/10 -13/2 40/7 -6/1 -17/3 23/4 -19/4 6/1 -3/1 -2/1 19/3 -2/1 32/5 -6/5 -1/1 45/7 -1/1 58/9 -1/1 -8/9 13/2 -1/2 20/3 -1/1 0/1 7/1 -1/1 15/2 -1/2 23/3 0/1 31/4 1/4 8/1 0/1 1/1 17/2 3/2 9/1 0/1 10/1 1/1 2/1 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(689,326,298,141) (-1/2,-8/17) -> (30/13,37/16) Hyperbolic Matrix(491,230,-2154,-1009) (-8/17,-7/15) -> (-13/57,-18/79) Hyperbolic Matrix(485,226,294,137) (-7/15,-6/13) -> (28/17,5/3) Hyperbolic Matrix(191,88,484,223) (-6/13,-11/24) -> (11/28,2/5) Hyperbolic Matrix(1147,524,672,307) (-11/24,-5/11) -> (29/17,41/24) Hyperbolic Matrix(947,428,-2560,-1157) (-5/11,-14/31) -> (-10/27,-27/73) Hyperbolic Matrix(475,214,566,255) (-14/31,-9/20) -> (5/6,16/19) Hyperbolic Matrix(847,380,-2356,-1057) (-9/20,-13/29) -> (-9/25,-23/64) Hyperbolic Matrix(2071,928,944,423) (-13/29,-30/67) -> (46/21,11/5) Hyperbolic Matrix(943,422,3010,1347) (-30/67,-17/38) -> (5/16,16/51) Hyperbolic Matrix(1597,714,378,169) (-17/38,-4/9) -> (38/9,17/4) Hyperbolic Matrix(185,82,282,125) (-4/9,-15/34) -> (13/20,2/3) Hyperbolic Matrix(277,122,-1578,-695) (-15/34,-11/25) -> (-3/17,-7/40) Hyperbolic Matrix(2131,936,1300,571) (-11/25,-18/41) -> (18/11,41/25) Hyperbolic Matrix(461,202,-1294,-567) (-18/41,-7/16) -> (-5/14,-16/45) Hyperbolic Matrix(1663,726,1198,523) (-7/16,-17/39) -> (43/31,25/18) Hyperbolic Matrix(831,362,-2858,-1245) (-17/39,-10/23) -> (-16/55,-9/31) Hyperbolic Matrix(641,278,-2202,-955) (-10/23,-13/30) -> (-7/24,-16/55) Hyperbolic Matrix(1007,436,552,239) (-13/30,-3/7) -> (31/17,11/6) Hyperbolic Matrix(631,268,1448,615) (-3/7,-14/33) -> (10/23,17/39) Hyperbolic Matrix(11105,4708,3248,1377) (-14/33,-39/92) -> (41/12,106/31) Hyperbolic Matrix(7493,3176,3428,1453) (-39/92,-25/59) -> (59/27,35/16) Hyperbolic Matrix(2705,1146,-7126,-3019) (-25/59,-11/26) -> (-41/108,-11/29) Hyperbolic Matrix(989,418,362,153) (-11/26,-8/19) -> (30/11,11/4) Hyperbolic Matrix(629,264,984,413) (-8/19,-13/31) -> (7/11,16/25) Hyperbolic Matrix(1251,524,-3488,-1461) (-13/31,-18/43) -> (-14/39,-19/53) Hyperbolic Matrix(91,38,534,223) (-18/43,-5/12) -> (1/6,4/23) Hyperbolic Matrix(2577,1070,802,333) (-5/12,-22/53) -> (16/5,45/14) Hyperbolic Matrix(1865,774,-6754,-2803) (-22/53,-17/41) -> (-29/105,-8/29) Hyperbolic Matrix(975,404,1156,479) (-17/41,-12/29) -> (16/19,11/13) Hyperbolic Matrix(1505,622,-3898,-1611) (-12/29,-19/46) -> (-17/44,-22/57) Hyperbolic Matrix(2039,842,3630,1499) (-19/46,-26/63) -> (32/57,9/16) Hyperbolic Matrix(2215,914,1946,803) (-26/63,-33/80) -> (25/22,8/7) Hyperbolic Matrix(529,218,-2298,-947) (-33/80,-7/17) -> (-3/13,-17/74) Hyperbolic Matrix(531,218,1498,615) (-7/17,-16/39) -> (6/17,11/31) Hyperbolic Matrix(883,362,-2910,-1193) (-16/39,-9/22) -> (-17/56,-10/33) Hyperbolic Matrix(613,250,-2018,-823) (-9/22,-11/27) -> (-7/23,-17/56) Hyperbolic Matrix(611,248,1052,427) (-11/27,-2/5) -> (18/31,25/43) Hyperbolic Matrix(431,170,-2406,-949) (-2/5,-13/33) -> (-7/39,-12/67) Hyperbolic Matrix(773,304,684,269) (-13/33,-11/28) -> (9/8,17/15) Hyperbolic Matrix(1111,436,344,135) (-11/28,-9/23) -> (29/9,13/4) Hyperbolic Matrix(1877,734,514,201) (-9/23,-25/64) -> (51/14,11/3) Hyperbolic Matrix(1619,632,3840,1499) (-25/64,-16/41) -> (8/19,27/64) Hyperbolic Matrix(1195,466,-3326,-1297) (-16/41,-7/18) -> (-23/64,-14/39) Hyperbolic Matrix(933,362,-3482,-1351) (-7/18,-19/49) -> (-11/41,-15/56) Hyperbolic Matrix(511,198,1102,427) (-19/49,-12/31) -> (6/13,7/15) Hyperbolic Matrix(1355,524,256,99) (-12/31,-17/44) -> (21/4,16/3) Hyperbolic Matrix(83,32,-760,-293) (-22/57,-5/13) -> (-1/9,-2/19) Hyperbolic Matrix(589,226,86,33) (-5/13,-18/47) -> (20/3,7/1) Hyperbolic Matrix(1767,676,2444,935) (-18/47,-13/34) -> (13/18,34/47) Hyperbolic Matrix(671,256,-1764,-673) (-13/34,-8/21) -> (-8/21,-19/50) Parabolic Matrix(1511,574,-6710,-2549) (-19/50,-30/79) -> (-16/71,-9/40) Hyperbolic Matrix(9555,3628,2768,1051) (-30/79,-41/108) -> (69/20,38/11) Hyperbolic Matrix(417,158,1090,413) (-11/29,-3/8) -> (13/34,5/13) Hyperbolic Matrix(333,124,1904,709) (-3/8,-16/43) -> (4/23,7/40) Hyperbolic Matrix(581,216,1240,461) (-16/43,-13/35) -> (7/15,8/17) Hyperbolic Matrix(415,154,-2234,-829) (-13/35,-10/27) -> (-8/43,-5/27) Hyperbolic Matrix(411,152,-2804,-1037) (-27/73,-17/46) -> (-5/34,-1/7) Hyperbolic Matrix(1321,488,2060,761) (-17/46,-7/19) -> (25/39,9/14) Hyperbolic Matrix(1975,726,574,211) (-7/19,-18/49) -> (24/7,31/9) Hyperbolic Matrix(1563,574,2546,935) (-18/49,-11/30) -> (27/44,8/13) Hyperbolic Matrix(901,330,658,241) (-11/30,-4/11) -> (26/19,11/8) Hyperbolic Matrix(1877,680,1140,413) (-4/11,-17/47) -> (51/31,28/17) Hyperbolic Matrix(1467,530,2278,823) (-17/47,-13/36) -> (9/14,29/45) Hyperbolic Matrix(571,206,-2442,-881) (-13/36,-9/25) -> (-11/47,-7/30) Hyperbolic Matrix(971,348,-4456,-1597) (-19/53,-5/14) -> (-17/78,-5/23) Hyperbolic Matrix(563,200,-2176,-773) (-16/45,-11/31) -> (-7/27,-8/31) Hyperbolic Matrix(1129,400,3864,1369) (-11/31,-17/48) -> (7/24,19/65) Hyperbolic Matrix(3057,1082,-9818,-3475) (-17/48,-23/65) -> (-19/61,-33/106) Hyperbolic Matrix(2979,1054,1286,455) (-23/65,-6/17) -> (44/19,7/3) Hyperbolic Matrix(563,198,1362,479) (-6/17,-7/20) -> (19/46,12/29) Hyperbolic Matrix(957,334,2318,809) (-7/20,-8/23) -> (26/63,19/46) Hyperbolic Matrix(877,304,476,165) (-8/23,-1/3) -> (35/19,24/13) Hyperbolic Matrix(845,272,612,197) (-1/3,-7/22) -> (69/50,29/21) Hyperbolic Matrix(1749,554,382,121) (-7/22,-6/19) -> (32/7,55/12) Hyperbolic Matrix(683,214,150,47) (-6/19,-5/16) -> (9/2,32/7) Hyperbolic Matrix(2949,920,1888,589) (-5/16,-19/61) -> (89/57,25/16) Hyperbolic Matrix(8609,2680,7096,2209) (-33/106,-14/45) -> (74/61,17/14) Hyperbolic Matrix(3621,1126,1058,329) (-14/45,-9/29) -> (65/19,24/7) Hyperbolic Matrix(149,46,-826,-255) (-9/29,-4/13) -> (-2/11,-7/39) Hyperbolic Matrix(523,160,-2396,-733) (-4/13,-11/36) -> (-7/32,-12/55) Hyperbolic Matrix(223,68,-1420,-433) (-11/36,-7/23) -> (-3/19,-5/32) Hyperbolic Matrix(3055,924,896,271) (-10/33,-13/43) -> (17/5,58/17) Hyperbolic Matrix(1041,314,1714,517) (-13/43,-3/10) -> (17/28,31/51) Hyperbolic Matrix(221,66,298,89) (-3/10,-8/27) -> (14/19,3/4) Hyperbolic Matrix(2287,676,1404,415) (-8/27,-13/44) -> (13/8,44/27) Hyperbolic Matrix(515,152,1772,523) (-13/44,-5/17) -> (9/31,7/24) Hyperbolic Matrix(1837,538,1178,345) (-5/17,-12/41) -> (14/9,39/25) Hyperbolic Matrix(219,64,-1468,-429) (-12/41,-7/24) -> (-3/20,-4/27) Hyperbolic Matrix(1097,318,514,149) (-9/31,-11/38) -> (17/8,15/7) Hyperbolic Matrix(1681,486,294,85) (-11/38,-2/7) -> (40/7,23/4) Hyperbolic Matrix(941,264,360,101) (-2/7,-7/25) -> (13/5,34/13) Hyperbolic Matrix(359,100,-1296,-361) (-7/25,-5/18) -> (-5/18,-13/47) Parabolic Matrix(1295,358,-6182,-1709) (-13/47,-21/76) -> (-13/62,-9/43) Hyperbolic Matrix(8117,2242,5246,1449) (-21/76,-29/105) -> (17/11,65/42) Hyperbolic Matrix(2083,574,1506,415) (-8/29,-11/40) -> (47/34,18/13) Hyperbolic Matrix(575,158,2078,571) (-11/40,-3/11) -> (13/47,5/18) Hyperbolic Matrix(569,154,-2494,-675) (-3/11,-10/37) -> (-8/35,-13/57) Hyperbolic Matrix(215,58,1138,307) (-10/37,-7/26) -> (3/16,4/21) Hyperbolic Matrix(923,248,428,115) (-7/26,-11/41) -> (15/7,13/6) Hyperbolic Matrix(2345,628,1348,361) (-15/56,-4/15) -> (40/23,7/4) Hyperbolic Matrix(143,38,-922,-245) (-4/15,-9/34) -> (-5/32,-2/13) Hyperbolic Matrix(3183,842,1342,355) (-9/34,-14/53) -> (64/27,19/8) Hyperbolic Matrix(425,112,1552,409) (-14/53,-5/19) -> (3/11,14/51) Hyperbolic Matrix(283,74,914,239) (-5/19,-6/23) -> (4/13,9/29) Hyperbolic Matrix(561,146,634,165) (-6/23,-7/27) -> (15/17,8/9) Hyperbolic Matrix(2521,650,702,181) (-8/31,-1/4) -> (79/22,18/5) Hyperbolic Matrix(823,198,478,115) (-1/4,-5/21) -> (43/25,31/18) Hyperbolic Matrix(271,64,-1156,-273) (-5/21,-4/17) -> (-4/17,-11/47) Parabolic Matrix(1151,268,408,95) (-7/30,-3/13) -> (31/11,17/6) Hyperbolic Matrix(9857,2264,4184,961) (-17/74,-14/61) -> (106/45,33/14) Hyperbolic Matrix(5397,1238,946,217) (-14/61,-11/48) -> (57/10,40/7) Hyperbolic Matrix(2763,632,1552,355) (-11/48,-8/35) -> (16/9,57/32) Hyperbolic Matrix(2625,598,338,77) (-18/79,-5/22) -> (31/4,8/1) Hyperbolic Matrix(875,198,738,167) (-5/22,-7/31) -> (13/11,19/16) Hyperbolic Matrix(1411,318,670,151) (-7/31,-16/71) -> (2/1,19/9) Hyperbolic Matrix(605,136,1944,437) (-9/40,-2/9) -> (14/45,5/16) Hyperbolic Matrix(399,88,68,15) (-2/9,-7/32) -> (23/4,6/1) Hyperbolic Matrix(9977,2176,3856,841) (-12/55,-17/78) -> (119/46,44/17) Hyperbolic Matrix(729,158,466,101) (-5/23,-3/14) -> (25/16,11/7) Hyperbolic Matrix(197,42,530,113) (-3/14,-4/19) -> (10/27,3/8) Hyperbolic Matrix(3029,636,5396,1133) (-4/19,-13/62) -> (55/98,32/57) Hyperbolic Matrix(2497,522,5458,1141) (-9/43,-14/67) -> (16/35,27/59) Hyperbolic Matrix(5193,1084,2036,425) (-14/67,-5/24) -> (51/20,74/29) Hyperbolic Matrix(1051,218,458,95) (-5/24,-1/5) -> (39/17,23/10) Hyperbolic Matrix(387,74,706,135) (-1/5,-4/21) -> (6/11,17/31) Hyperbolic Matrix(191,36,-1024,-193) (-4/21,-3/16) -> (-3/16,-8/43) Parabolic Matrix(827,152,1148,211) (-5/27,-2/11) -> (18/25,31/43) Hyperbolic Matrix(1329,238,698,125) (-12/67,-5/28) -> (19/10,2/1) Hyperbolic Matrix(887,158,1454,259) (-5/28,-3/17) -> (25/41,11/18) Hyperbolic Matrix(2585,452,692,121) (-7/40,-4/23) -> (56/15,15/4) Hyperbolic Matrix(189,32,124,21) (-4/23,-1/6) -> (3/2,20/13) Hyperbolic Matrix(61,10,250,41) (-1/6,-4/25) -> (6/25,1/4) Hyperbolic Matrix(1919,306,370,59) (-4/25,-7/44) -> (31/6,26/5) Hyperbolic Matrix(4205,668,2348,373) (-7/44,-3/19) -> (77/43,43/24) Hyperbolic Matrix(367,56,308,47) (-2/13,-3/20) -> (19/16,6/5) Hyperbolic Matrix(2625,388,548,81) (-4/27,-5/34) -> (67/14,24/5) Hyperbolic Matrix(423,58,722,99) (-1/7,-2/15) -> (24/41,17/29) Hyperbolic Matrix(299,38,118,15) (-2/15,-1/8) -> (5/2,28/11) Hyperbolic Matrix(177,20,292,33) (-1/8,-1/9) -> (3/5,17/28) Hyperbolic Matrix(1393,146,582,61) (-2/19,-1/10) -> (67/28,12/5) Hyperbolic Matrix(173,16,400,37) (-1/10,0/1) -> (16/37,13/30) Hyperbolic Matrix(235,-24,284,-29) (0/1,1/9) -> (19/23,24/29) Hyperbolic Matrix(653,-76,232,-27) (1/9,1/8) -> (45/16,31/11) Hyperbolic Matrix(549,-74,230,-31) (1/8,1/7) -> (31/13,43/18) Hyperbolic Matrix(225,-34,814,-123) (1/7,2/13) -> (8/29,13/47) Hyperbolic Matrix(135,-22,178,-29) (2/13,1/6) -> (3/4,16/21) Hyperbolic Matrix(1105,-194,974,-171) (7/40,3/17) -> (17/15,25/22) Hyperbolic Matrix(89,-16,484,-87) (3/17,2/11) -> (2/11,5/27) Parabolic Matrix(1229,-228,1008,-187) (5/27,3/16) -> (39/32,11/9) Hyperbolic Matrix(261,-50,830,-159) (4/21,1/5) -> (11/35,6/19) Hyperbolic Matrix(301,-64,428,-91) (1/5,3/14) -> (7/10,19/27) Hyperbolic Matrix(213,-46,514,-111) (3/14,2/9) -> (12/29,5/12) Hyperbolic Matrix(297,-68,380,-87) (2/9,3/13) -> (7/9,18/23) Hyperbolic Matrix(2447,-570,674,-157) (3/13,7/30) -> (29/8,69/19) Hyperbolic Matrix(2655,-622,1558,-365) (7/30,4/17) -> (46/27,75/44) Hyperbolic Matrix(211,-50,882,-209) (4/17,5/21) -> (5/21,6/25) Parabolic Matrix(331,-86,866,-225) (1/4,5/19) -> (21/55,13/34) Hyperbolic Matrix(1069,-282,906,-239) (5/19,9/34) -> (33/28,13/11) Hyperbolic Matrix(1151,-306,410,-109) (9/34,4/15) -> (14/5,45/16) Hyperbolic Matrix(451,-122,122,-33) (4/15,3/11) -> (11/3,26/7) Hyperbolic Matrix(8119,-2230,3426,-941) (14/51,11/40) -> (109/46,64/27) Hyperbolic Matrix(2447,-674,570,-157) (11/40,8/29) -> (30/7,43/10) Hyperbolic Matrix(163,-46,202,-57) (5/18,2/7) -> (4/5,13/16) Hyperbolic Matrix(1655,-478,322,-93) (2/7,13/45) -> (5/1,36/7) Hyperbolic Matrix(5445,-1574,1574,-455) (13/45,11/38) -> (83/24,45/13) Hyperbolic Matrix(2579,-748,4596,-1333) (11/38,9/31) -> (23/41,55/98) Hyperbolic Matrix(5753,-1682,2254,-659) (19/65,12/41) -> (74/29,23/9) Hyperbolic Matrix(1529,-448,2372,-695) (12/41,5/17) -> (29/45,20/31) Hyperbolic Matrix(521,-154,362,-107) (5/17,3/10) -> (23/16,13/9) Hyperbolic Matrix(399,-122,278,-85) (3/10,4/13) -> (10/7,23/16) Hyperbolic Matrix(3451,-1072,1072,-333) (9/29,14/45) -> (74/23,29/9) Hyperbolic Matrix(4115,-1292,1188,-373) (16/51,11/35) -> (45/13,52/15) Hyperbolic Matrix(869,-276,1420,-451) (6/19,1/3) -> (41/67,30/49) Hyperbolic Matrix(773,-268,424,-147) (1/3,7/20) -> (51/28,31/17) Hyperbolic Matrix(1615,-568,2232,-785) (7/20,6/17) -> (34/47,55/76) Hyperbolic Matrix(653,-232,76,-27) (11/31,5/14) -> (17/2,9/1) Hyperbolic Matrix(1913,-686,1570,-563) (5/14,14/39) -> (28/23,39/32) Hyperbolic Matrix(6811,-2446,1874,-673) (14/39,23/64) -> (109/30,40/11) Hyperbolic Matrix(3825,-1376,1376,-495) (23/64,9/25) -> (25/9,89/32) Hyperbolic Matrix(727,-262,1146,-413) (9/25,4/11) -> (26/41,7/11) Hyperbolic Matrix(267,-98,722,-265) (4/11,7/19) -> (7/19,10/27) Parabolic Matrix(453,-172,640,-243) (3/8,8/21) -> (12/17,17/24) Hyperbolic Matrix(1243,-474,1618,-617) (8/21,21/55) -> (33/43,10/13) Hyperbolic Matrix(413,-160,524,-203) (5/13,7/18) -> (11/14,15/19) Hyperbolic Matrix(487,-190,710,-277) (7/18,9/23) -> (13/19,11/16) Hyperbolic Matrix(2427,-952,1420,-557) (9/23,11/28) -> (41/24,53/31) Hyperbolic Matrix(407,-166,738,-301) (2/5,9/22) -> (11/20,16/29) Hyperbolic Matrix(1255,-514,774,-317) (9/22,7/17) -> (47/29,13/8) Hyperbolic Matrix(1989,-820,1288,-531) (7/17,26/63) -> (54/35,17/11) Hyperbolic Matrix(367,-154,622,-261) (5/12,8/19) -> (10/17,13/22) Hyperbolic Matrix(8119,-3426,2230,-941) (27/64,19/45) -> (91/25,51/14) Hyperbolic Matrix(1717,-726,622,-263) (19/45,11/26) -> (11/4,47/17) Hyperbolic Matrix(547,-232,804,-341) (11/26,14/33) -> (2/3,15/22) Hyperbolic Matrix(511,-218,218,-93) (14/33,3/7) -> (7/3,40/17) Hyperbolic Matrix(3741,-1616,2396,-1035) (3/7,16/37) -> (64/41,89/57) Hyperbolic Matrix(1451,-630,942,-409) (13/30,10/23) -> (20/13,37/24) Hyperbolic Matrix(1085,-474,1774,-775) (17/39,7/16) -> (11/18,41/67) Hyperbolic Matrix(469,-206,362,-159) (7/16,4/9) -> (22/17,13/10) Hyperbolic Matrix(323,-146,250,-113) (4/9,5/11) -> (9/7,22/17) Hyperbolic Matrix(3069,-1402,1714,-783) (5/11,16/35) -> (34/19,77/43) Hyperbolic Matrix(6313,-2890,2890,-1323) (27/59,11/24) -> (83/38,59/27) Hyperbolic Matrix(2031,-934,1246,-573) (11/24,6/13) -> (44/27,75/46) Hyperbolic Matrix(1201,-568,776,-367) (8/17,1/2) -> (65/42,48/31) Hyperbolic Matrix(609,-326,170,-91) (1/2,7/13) -> (25/7,43/12) Hyperbolic Matrix(507,-274,742,-401) (7/13,13/24) -> (15/22,13/19) Hyperbolic Matrix(1719,-934,1246,-677) (13/24,6/11) -> (40/29,69/50) Hyperbolic Matrix(773,-424,268,-147) (17/31,11/20) -> (23/8,3/1) Hyperbolic Matrix(1071,-592,436,-241) (16/29,5/9) -> (27/11,32/13) Hyperbolic Matrix(1201,-670,1970,-1099) (5/9,19/34) -> (39/64,25/41) Hyperbolic Matrix(3169,-1772,1200,-671) (19/34,14/25) -> (66/25,37/14) Hyperbolic Matrix(3431,-1924,1300,-729) (14/25,23/41) -> (29/11,66/25) Hyperbolic Matrix(365,-206,466,-263) (9/16,4/7) -> (18/23,11/14) Hyperbolic Matrix(627,-362,362,-209) (4/7,11/19) -> (19/11,26/15) Hyperbolic Matrix(659,-382,954,-553) (11/19,18/31) -> (20/29,9/13) Hyperbolic Matrix(1085,-632,788,-459) (25/43,7/12) -> (11/8,51/37) Hyperbolic Matrix(2427,-1420,952,-557) (7/12,24/41) -> (28/11,51/20) Hyperbolic Matrix(2655,-1558,622,-365) (17/29,27/46) -> (17/4,47/11) Hyperbolic Matrix(1311,-770,458,-269) (27/46,10/17) -> (20/7,23/8) Hyperbolic Matrix(229,-136,32,-19) (13/22,3/5) -> (7/1,15/2) Hyperbolic Matrix(4947,-3008,3008,-1829) (31/51,14/23) -> (74/45,51/31) Hyperbolic Matrix(3749,-2284,1712,-1043) (14/23,39/64) -> (35/16,46/21) Hyperbolic Matrix(3999,-2450,2450,-1501) (30/49,19/31) -> (31/19,80/49) Hyperbolic Matrix(2031,-1246,934,-573) (19/31,27/44) -> (13/6,37/17) Hyperbolic Matrix(161,-100,256,-159) (8/13,5/8) -> (5/8,12/19) Parabolic Matrix(1401,-886,574,-363) (12/19,19/30) -> (39/16,22/9) Hyperbolic Matrix(3691,-2340,1560,-989) (19/30,26/41) -> (26/11,71/30) Hyperbolic Matrix(3741,-2396,1616,-1035) (16/25,41/64) -> (37/16,44/19) Hyperbolic Matrix(7131,-4570,3010,-1929) (41/64,25/39) -> (45/19,109/46) Hyperbolic Matrix(6511,-4202,1706,-1101) (20/31,51/79) -> (103/27,42/11) Hyperbolic Matrix(9763,-6304,2560,-1653) (51/79,31/48) -> (61/16,103/27) Hyperbolic Matrix(1201,-776,568,-367) (31/48,11/17) -> (19/9,17/8) Hyperbolic Matrix(1451,-942,630,-409) (11/17,13/20) -> (23/10,53/23) Hyperbolic Matrix(2893,-1994,1786,-1231) (11/16,20/29) -> (34/21,81/50) Hyperbolic Matrix(521,-362,154,-107) (9/13,7/10) -> (27/8,17/5) Hyperbolic Matrix(733,-516,152,-107) (19/27,12/17) -> (24/5,5/1) Hyperbolic Matrix(731,-518,882,-625) (17/24,22/31) -> (24/29,5/6) Hyperbolic Matrix(2067,-1468,1156,-821) (22/31,5/7) -> (59/33,34/19) Hyperbolic Matrix(1937,-1390,818,-587) (5/7,23/32) -> (71/30,45/19) Hyperbolic Matrix(6897,-4960,4960,-3567) (23/32,41/57) -> (57/41,89/64) Hyperbolic Matrix(4113,-2960,1088,-783) (41/57,18/25) -> (34/9,87/23) Hyperbolic Matrix(2327,-1678,1782,-1285) (31/43,13/18) -> (47/36,17/13) Hyperbolic Matrix(4465,-3232,1568,-1135) (55/76,21/29) -> (37/13,57/20) Hyperbolic Matrix(1719,-1246,934,-677) (21/29,29/40) -> (11/6,35/19) Hyperbolic Matrix(1085,-788,632,-459) (29/40,8/11) -> (12/7,55/32) Hyperbolic Matrix(331,-242,450,-329) (8/11,11/15) -> (11/15,14/19) Parabolic Matrix(943,-720,148,-113) (16/21,13/17) -> (19/3,32/5) Hyperbolic Matrix(2327,-1782,1678,-1285) (13/17,23/30) -> (61/44,43/31) Hyperbolic Matrix(3649,-2800,1500,-1151) (23/30,33/43) -> (17/7,73/30) Hyperbolic Matrix(469,-362,206,-159) (10/13,7/9) -> (25/11,16/7) Hyperbolic Matrix(901,-712,348,-275) (15/19,4/5) -> (44/17,13/5) Hyperbolic Matrix(373,-304,200,-163) (13/16,9/11) -> (13/7,15/8) Hyperbolic Matrix(971,-796,172,-141) (9/11,23/28) -> (45/8,17/3) Hyperbolic Matrix(1541,-1268,1112,-915) (23/28,14/17) -> (18/13,61/44) Hyperbolic Matrix(1311,-1082,1082,-893) (14/17,19/23) -> (23/19,40/33) Hyperbolic Matrix(169,-144,196,-167) (11/13,6/7) -> (6/7,13/15) Parabolic Matrix(947,-822,250,-217) (13/15,7/8) -> (53/14,19/5) Hyperbolic Matrix(1105,-974,194,-171) (7/8,15/17) -> (17/3,57/10) Hyperbolic Matrix(357,-320,164,-147) (8/9,1/1) -> (37/17,24/11) Hyperbolic Matrix(323,-354,198,-217) (1/1,9/8) -> (75/46,31/19) Hyperbolic Matrix(169,-196,144,-167) (8/7,7/6) -> (7/6,20/17) Parabolic Matrix(2149,-2530,502,-591) (20/17,33/28) -> (77/18,30/7) Hyperbolic Matrix(235,-284,24,-29) (6/5,23/19) -> (9/1,10/1) Hyperbolic Matrix(5359,-6498,4418,-5357) (40/33,57/47) -> (57/47,74/61) Parabolic Matrix(1501,-1826,1150,-1399) (17/14,28/23) -> (30/23,47/36) Hyperbolic Matrix(163,-202,46,-57) (11/9,5/4) -> (7/2,25/7) Hyperbolic Matrix(413,-524,160,-203) (5/4,14/11) -> (18/7,31/12) Hyperbolic Matrix(297,-380,68,-87) (14/11,9/7) -> (13/3,22/5) Hyperbolic Matrix(949,-1236,248,-323) (13/10,30/23) -> (42/11,23/6) Hyperbolic Matrix(135,-178,22,-29) (17/13,4/3) -> (6/1,19/3) Hyperbolic Matrix(331,-450,242,-329) (4/3,15/11) -> (15/11,26/19) Parabolic Matrix(2449,-3376,568,-783) (51/37,40/29) -> (56/13,13/3) Hyperbolic Matrix(1615,-2232,568,-785) (29/21,47/34) -> (17/6,37/13) Hyperbolic Matrix(4003,-5564,936,-1301) (25/18,57/41) -> (47/11,77/18) Hyperbolic Matrix(14965,-20812,4328,-6019) (89/64,121/87) -> (121/35,83/24) Hyperbolic Matrix(6089,-8470,1762,-2451) (121/87,32/23) -> (38/11,121/35) Hyperbolic Matrix(1261,-1756,456,-635) (32/23,7/5) -> (47/17,36/13) Hyperbolic Matrix(453,-640,172,-243) (7/5,17/12) -> (21/8,29/11) Hyperbolic Matrix(301,-428,64,-91) (17/12,10/7) -> (14/3,19/4) Hyperbolic Matrix(659,-954,382,-553) (13/9,16/11) -> (50/29,19/11) Hyperbolic Matrix(487,-710,190,-277) (16/11,3/2) -> (41/16,18/7) Hyperbolic Matrix(1493,-2302,430,-663) (37/24,54/35) -> (52/15,7/2) Hyperbolic Matrix(6855,-10616,2816,-4361) (48/31,79/51) -> (129/53,56/23) Hyperbolic Matrix(6303,-9766,2590,-4013) (79/51,31/20) -> (73/30,129/53) Hyperbolic Matrix(1529,-2372,448,-695) (31/20,14/9) -> (58/17,41/12) Hyperbolic Matrix(4731,-7384,1300,-2029) (39/25,64/41) -> (40/11,91/25) Hyperbolic Matrix(161,-256,100,-159) (11/7,8/5) -> (8/5,21/13) Parabolic Matrix(993,-1606,358,-579) (21/13,34/21) -> (36/13,25/9) Hyperbolic Matrix(2719,-4406,714,-1157) (81/50,47/29) -> (19/5,61/16) Hyperbolic Matrix(5353,-8740,1876,-3063) (80/49,129/79) -> (77/27,20/7) Hyperbolic Matrix(6813,-11126,2390,-3903) (129/79,49/30) -> (57/20,77/27) Hyperbolic Matrix(869,-1420,276,-451) (49/30,18/11) -> (22/7,19/6) Hyperbolic Matrix(1201,-1970,670,-1099) (41/25,23/14) -> (43/24,9/5) Hyperbolic Matrix(1397,-2296,216,-355) (23/14,74/45) -> (58/9,13/2) Hyperbolic Matrix(367,-622,154,-261) (5/3,17/10) -> (19/8,31/13) Hyperbolic Matrix(1577,-2686,866,-1475) (17/10,46/27) -> (20/11,51/28) Hyperbolic Matrix(4729,-8062,1250,-2131) (75/44,29/17) -> (87/23,53/14) Hyperbolic Matrix(3741,-6398,1094,-1871) (53/31,12/7) -> (106/31,65/19) Hyperbolic Matrix(4933,-8482,1358,-2335) (55/32,43/25) -> (69/19,109/30) Hyperbolic Matrix(2139,-3686,878,-1513) (31/18,50/29) -> (56/23,39/16) Hyperbolic Matrix(1255,-2178,722,-1253) (26/15,33/19) -> (33/19,40/23) Parabolic Matrix(169,-298,38,-67) (7/4,16/9) -> (22/5,9/2) Hyperbolic Matrix(2579,-4596,748,-1333) (57/32,41/23) -> (31/9,69/20) Hyperbolic Matrix(1401,-2500,784,-1399) (41/23,25/14) -> (25/14,59/33) Parabolic Matrix(407,-738,166,-301) (9/5,20/11) -> (22/9,27/11) Hyperbolic Matrix(747,-1384,292,-541) (24/13,13/7) -> (23/9,64/25) Hyperbolic Matrix(307,-578,162,-305) (15/8,17/9) -> (17/9,19/10) Parabolic Matrix(4819,-10520,1732,-3781) (24/11,83/38) -> (217/78,64/23) Hyperbolic Matrix(145,-324,64,-143) (11/5,9/4) -> (9/4,25/11) Parabolic Matrix(395,-906,126,-289) (16/7,39/17) -> (3/1,22/7) Hyperbolic Matrix(2093,-4824,456,-1051) (53/23,30/13) -> (78/17,23/5) Hyperbolic Matrix(4527,-10658,1922,-4525) (40/17,73/31) -> (73/31,106/45) Parabolic Matrix(1347,-3178,526,-1241) (33/14,26/11) -> (64/25,41/16) Hyperbolic Matrix(2531,-6050,1058,-2529) (43/18,55/23) -> (55/23,67/28) Parabolic Matrix(213,-514,46,-111) (12/5,17/7) -> (23/5,14/3) Hyperbolic Matrix(2657,-6546,826,-2035) (32/13,37/15) -> (119/37,74/23) Hyperbolic Matrix(913,-2260,284,-703) (37/15,5/2) -> (45/14,119/37) Hyperbolic Matrix(4351,-11250,1682,-4349) (31/12,75/29) -> (75/29,119/46) Parabolic Matrix(331,-866,86,-225) (34/13,21/8) -> (23/6,4/1) Hyperbolic Matrix(143,-378,14,-37) (37/14,8/3) -> (10/1,1/0) Hyperbolic Matrix(267,-722,98,-265) (8/3,19/7) -> (19/7,30/11) Parabolic Matrix(16831,-46818,6050,-16829) (89/32,153/55) -> (153/55,217/78) Parabolic Matrix(1773,-4936,412,-1147) (64/23,39/14) -> (43/10,56/13) Hyperbolic Matrix(617,-1722,110,-307) (39/14,14/5) -> (28/5,45/8) Hyperbolic Matrix(261,-830,50,-159) (19/6,16/5) -> (26/5,21/4) Hyperbolic Matrix(121,-400,36,-119) (13/4,10/3) -> (10/3,27/8) Parabolic Matrix(2075,-7442,578,-2073) (43/12,61/17) -> (61/17,79/22) Parabolic Matrix(225,-814,34,-123) (18/5,29/8) -> (13/2,20/3) Hyperbolic Matrix(903,-3362,242,-901) (26/7,41/11) -> (41/11,56/15) Parabolic Matrix(185,-698,22,-83) (15/4,34/9) -> (8/1,17/2) Hyperbolic Matrix(211,-882,50,-209) (4/1,21/5) -> (21/5,38/9) Parabolic Matrix(959,-4398,186,-853) (55/12,78/17) -> (36/7,31/6) Hyperbolic Matrix(775,-3698,162,-773) (19/4,43/9) -> (43/9,67/14) Parabolic Matrix(89,-484,16,-87) (16/3,11/2) -> (11/2,28/5) Parabolic Matrix(631,-4050,98,-629) (32/5,45/7) -> (45/7,58/9) Parabolic Matrix(139,-1058,18,-137) (15/2,23/3) -> (23/3,31/4) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,2,-2,-3) Matrix(689,326,298,141) -> Matrix(3,2,-2,-1) Matrix(491,230,-2154,-1009) -> Matrix(3,2,-2,-1) Matrix(485,226,294,137) -> Matrix(3,2,-2,-1) Matrix(191,88,484,223) -> Matrix(3,2,-8,-5) Matrix(1147,524,672,307) -> Matrix(13,6,-24,-11) Matrix(947,428,-2560,-1157) -> Matrix(1,0,0,1) Matrix(475,214,566,255) -> Matrix(1,0,2,1) Matrix(847,380,-2356,-1057) -> Matrix(1,0,0,1) Matrix(2071,928,944,423) -> Matrix(9,2,4,1) Matrix(943,422,3010,1347) -> Matrix(1,0,2,1) Matrix(1597,714,378,169) -> Matrix(1,0,10,1) Matrix(185,82,282,125) -> Matrix(1,0,-2,1) Matrix(277,122,-1578,-695) -> Matrix(7,6,-6,-5) Matrix(2131,936,1300,571) -> Matrix(5,4,-4,-3) Matrix(461,202,-1294,-567) -> Matrix(3,2,-2,-1) Matrix(1663,726,1198,523) -> Matrix(7,4,26,15) Matrix(831,362,-2858,-1245) -> Matrix(15,8,-2,-1) Matrix(641,278,-2202,-955) -> Matrix(13,6,2,1) Matrix(1007,436,552,239) -> Matrix(9,4,-16,-7) Matrix(631,268,1448,615) -> Matrix(9,4,-16,-7) Matrix(11105,4708,3248,1377) -> Matrix(15,4,-4,-1) Matrix(7493,3176,3428,1453) -> Matrix(17,4,4,1) Matrix(2705,1146,-7126,-3019) -> Matrix(7,2,-18,-5) Matrix(989,418,362,153) -> Matrix(1,0,10,1) Matrix(629,264,984,413) -> Matrix(3,2,-8,-5) Matrix(1251,524,-3488,-1461) -> Matrix(1,0,-4,1) Matrix(91,38,534,223) -> Matrix(1,2,-2,-3) Matrix(2577,1070,802,333) -> Matrix(5,2,2,1) Matrix(1865,774,-6754,-2803) -> Matrix(7,4,-2,-1) Matrix(975,404,1156,479) -> Matrix(1,0,0,1) Matrix(1505,622,-3898,-1611) -> Matrix(7,6,-6,-5) Matrix(2039,842,3630,1499) -> Matrix(21,16,-46,-35) Matrix(2215,914,1946,803) -> Matrix(3,2,10,7) Matrix(529,218,-2298,-947) -> Matrix(7,4,-2,-1) Matrix(531,218,1498,615) -> Matrix(7,4,-2,-1) Matrix(883,362,-2910,-1193) -> Matrix(11,6,-2,-1) Matrix(613,250,-2018,-823) -> Matrix(9,4,2,1) Matrix(611,248,1052,427) -> Matrix(5,2,-8,-3) Matrix(431,170,-2406,-949) -> Matrix(5,-2,-2,1) Matrix(773,304,684,269) -> Matrix(1,0,0,1) Matrix(1111,436,344,135) -> Matrix(1,4,0,1) Matrix(1877,734,514,201) -> Matrix(3,2,-2,-1) Matrix(1619,632,3840,1499) -> Matrix(5,2,-8,-3) Matrix(1195,466,-3326,-1297) -> Matrix(1,0,-2,1) Matrix(933,362,-3482,-1351) -> Matrix(1,0,-2,1) Matrix(511,198,1102,427) -> Matrix(1,0,-2,1) Matrix(1355,524,256,99) -> Matrix(1,6,0,1) Matrix(83,32,-760,-293) -> Matrix(5,4,-4,-3) Matrix(589,226,86,33) -> Matrix(3,2,-2,-1) Matrix(1767,676,2444,935) -> Matrix(3,2,-20,-13) Matrix(671,256,-1764,-673) -> Matrix(11,6,-24,-13) Matrix(1511,574,-6710,-2549) -> Matrix(5,2,2,1) Matrix(9555,3628,2768,1051) -> Matrix(43,18,-12,-5) Matrix(417,158,1090,413) -> Matrix(11,4,-14,-5) Matrix(333,124,1904,709) -> Matrix(5,2,-8,-3) Matrix(581,216,1240,461) -> Matrix(1,0,0,1) Matrix(415,154,-2234,-829) -> Matrix(7,4,-2,-1) Matrix(411,152,-2804,-1037) -> Matrix(5,2,-8,-3) Matrix(1321,488,2060,761) -> Matrix(13,4,-36,-11) Matrix(1975,726,574,211) -> Matrix(23,4,-6,-1) Matrix(1563,574,2546,935) -> Matrix(17,2,-26,-3) Matrix(901,330,658,241) -> Matrix(1,0,18,1) Matrix(1877,680,1140,413) -> Matrix(1,0,0,1) Matrix(1467,530,2278,823) -> Matrix(5,4,-14,-11) Matrix(571,206,-2442,-881) -> Matrix(11,6,-2,-1) Matrix(971,348,-4456,-1597) -> Matrix(15,2,-8,-1) Matrix(563,200,-2176,-773) -> Matrix(1,0,0,1) Matrix(1129,400,3864,1369) -> Matrix(5,2,-8,-3) Matrix(3057,1082,-9818,-3475) -> Matrix(3,2,-2,-1) Matrix(2979,1054,1286,455) -> Matrix(7,4,-2,-1) Matrix(563,198,1362,479) -> Matrix(1,2,-2,-3) Matrix(957,334,2318,809) -> Matrix(11,4,-14,-5) Matrix(877,304,476,165) -> Matrix(1,0,0,1) Matrix(845,272,612,197) -> Matrix(1,0,4,1) Matrix(1749,554,382,121) -> Matrix(1,-2,2,-3) Matrix(683,214,150,47) -> Matrix(1,0,2,1) Matrix(2949,920,1888,589) -> Matrix(1,2,0,1) Matrix(8609,2680,7096,2209) -> Matrix(3,4,-4,-5) Matrix(3621,1126,1058,329) -> Matrix(11,6,-2,-1) Matrix(149,46,-826,-255) -> Matrix(3,2,-2,-1) Matrix(523,160,-2396,-733) -> Matrix(9,-2,-4,1) Matrix(223,68,-1420,-433) -> Matrix(3,-2,-4,3) Matrix(3055,924,896,271) -> Matrix(1,-4,0,1) Matrix(1041,314,1714,517) -> Matrix(1,2,-2,-3) Matrix(221,66,298,89) -> Matrix(1,0,2,1) Matrix(2287,676,1404,415) -> Matrix(9,-2,-4,1) Matrix(515,152,1772,523) -> Matrix(3,-2,-4,3) Matrix(1837,538,1178,345) -> Matrix(3,-2,2,-1) Matrix(219,64,-1468,-429) -> Matrix(1,-2,0,1) Matrix(1097,318,514,149) -> Matrix(3,4,2,3) Matrix(1681,486,294,85) -> Matrix(11,6,-2,-1) Matrix(941,264,360,101) -> Matrix(1,-2,0,1) Matrix(359,100,-1296,-361) -> Matrix(1,-6,0,1) Matrix(1295,358,-6182,-1709) -> Matrix(1,4,-2,-7) Matrix(8117,2242,5246,1449) -> Matrix(3,10,2,7) Matrix(2083,574,1506,415) -> Matrix(1,2,6,13) Matrix(575,158,2078,571) -> Matrix(7,12,-10,-17) Matrix(569,154,-2494,-675) -> Matrix(3,2,-2,-1) Matrix(215,58,1138,307) -> Matrix(1,0,-2,1) Matrix(923,248,428,115) -> Matrix(1,2,0,1) Matrix(2345,628,1348,361) -> Matrix(1,0,4,1) Matrix(143,38,-922,-245) -> Matrix(1,0,-2,1) Matrix(3183,842,1342,355) -> Matrix(3,-16,-2,11) Matrix(425,112,1552,409) -> Matrix(3,10,-4,-13) Matrix(283,74,914,239) -> Matrix(1,0,-2,1) Matrix(561,146,634,165) -> Matrix(1,0,-2,1) Matrix(2521,650,702,181) -> Matrix(3,2,-2,-1) Matrix(823,198,478,115) -> Matrix(1,0,-2,1) Matrix(271,64,-1156,-273) -> Matrix(1,-8,0,1) Matrix(1151,268,408,95) -> Matrix(1,4,0,1) Matrix(9857,2264,4184,961) -> Matrix(23,48,-12,-25) Matrix(5397,1238,946,217) -> Matrix(13,20,-2,-3) Matrix(2763,632,1552,355) -> Matrix(1,2,0,1) Matrix(2625,598,338,77) -> Matrix(1,2,2,5) Matrix(875,198,738,167) -> Matrix(1,2,-2,-3) Matrix(1411,318,670,151) -> Matrix(1,0,2,1) Matrix(605,136,1944,437) -> Matrix(1,2,-4,-7) Matrix(399,88,68,15) -> Matrix(1,-2,0,1) Matrix(9977,2176,3856,841) -> Matrix(1,2,16,33) Matrix(729,158,466,101) -> Matrix(3,4,2,3) Matrix(197,42,530,113) -> Matrix(5,6,-6,-7) Matrix(3029,636,5396,1133) -> Matrix(15,8,-32,-17) Matrix(2497,522,5458,1141) -> Matrix(1,0,-2,1) Matrix(5193,1084,2036,425) -> Matrix(3,2,-8,-5) Matrix(1051,218,458,95) -> Matrix(7,4,-2,-1) Matrix(387,74,706,135) -> Matrix(1,0,-2,1) Matrix(191,36,-1024,-193) -> Matrix(1,-6,0,1) Matrix(827,152,1148,211) -> Matrix(1,2,-4,-7) Matrix(1329,238,698,125) -> Matrix(1,2,6,13) Matrix(887,158,1454,259) -> Matrix(7,12,-10,-17) Matrix(2585,452,692,121) -> Matrix(11,12,-12,-13) Matrix(189,32,124,21) -> Matrix(1,2,0,1) Matrix(61,10,250,41) -> Matrix(5,6,-6,-7) Matrix(1919,306,370,59) -> Matrix(17,14,6,5) Matrix(4205,668,2348,373) -> Matrix(5,4,-4,-3) Matrix(367,56,308,47) -> Matrix(1,0,0,1) Matrix(2625,388,548,81) -> Matrix(9,10,8,9) Matrix(423,58,722,99) -> Matrix(1,0,-2,1) Matrix(299,38,118,15) -> Matrix(1,2,-2,-3) Matrix(177,20,292,33) -> Matrix(3,4,-4,-5) Matrix(1393,146,582,61) -> Matrix(13,14,-14,-15) Matrix(173,16,400,37) -> Matrix(5,2,-8,-3) Matrix(235,-24,284,-29) -> Matrix(1,0,0,1) Matrix(653,-76,232,-27) -> Matrix(1,2,0,1) Matrix(549,-74,230,-31) -> Matrix(11,10,-10,-9) Matrix(225,-34,814,-123) -> Matrix(13,8,-18,-11) Matrix(135,-22,178,-29) -> Matrix(3,2,-2,-1) Matrix(1105,-194,974,-171) -> Matrix(3,2,-2,-1) Matrix(89,-16,484,-87) -> Matrix(7,4,-16,-9) Matrix(1229,-228,1008,-187) -> Matrix(5,2,-8,-3) Matrix(261,-50,830,-159) -> Matrix(1,0,-2,1) Matrix(301,-64,428,-91) -> Matrix(3,2,-8,-5) Matrix(213,-46,514,-111) -> Matrix(1,2,-2,-3) Matrix(297,-68,380,-87) -> Matrix(1,2,-4,-7) Matrix(2447,-570,674,-157) -> Matrix(1,2,-2,-3) Matrix(2655,-622,1558,-365) -> Matrix(13,16,-22,-27) Matrix(211,-50,882,-209) -> Matrix(21,22,-22,-23) Matrix(331,-86,866,-225) -> Matrix(1,2,-2,-3) Matrix(1069,-282,906,-239) -> Matrix(3,2,-2,-1) Matrix(1151,-306,410,-109) -> Matrix(1,0,2,1) Matrix(451,-122,122,-33) -> Matrix(7,6,-6,-5) Matrix(8119,-2230,3426,-941) -> Matrix(161,120,-106,-79) Matrix(2447,-674,570,-157) -> Matrix(11,8,26,19) Matrix(163,-46,202,-57) -> Matrix(3,2,-2,-1) Matrix(1655,-478,322,-93) -> Matrix(1,0,2,1) Matrix(5445,-1574,1574,-455) -> Matrix(11,6,-2,-1) Matrix(2579,-748,4596,-1333) -> Matrix(19,10,-40,-21) Matrix(5753,-1682,2254,-659) -> Matrix(3,2,-14,-9) Matrix(1529,-448,2372,-695) -> Matrix(27,16,-76,-45) Matrix(521,-154,362,-107) -> Matrix(7,4,-2,-1) Matrix(399,-122,278,-85) -> Matrix(5,2,2,1) Matrix(3451,-1072,1072,-333) -> Matrix(27,10,8,3) Matrix(4115,-1292,1188,-373) -> Matrix(15,4,-4,-1) Matrix(869,-276,1420,-451) -> Matrix(3,-2,-4,3) Matrix(773,-268,424,-147) -> Matrix(5,2,-8,-3) Matrix(1615,-568,2232,-785) -> Matrix(1,0,-8,1) Matrix(653,-232,76,-27) -> Matrix(1,2,0,1) Matrix(1913,-686,1570,-563) -> Matrix(1,2,-2,-3) Matrix(6811,-2446,1874,-673) -> Matrix(3,2,-2,-1) Matrix(3825,-1376,1376,-495) -> Matrix(1,0,4,1) Matrix(727,-262,1146,-413) -> Matrix(1,-2,-2,5) Matrix(267,-98,722,-265) -> Matrix(9,10,-10,-11) Matrix(453,-172,640,-243) -> Matrix(3,2,-8,-5) Matrix(1243,-474,1618,-617) -> Matrix(3,2,-2,-1) Matrix(413,-160,524,-203) -> Matrix(3,2,-20,-13) Matrix(487,-190,710,-277) -> Matrix(7,4,-2,-1) Matrix(2427,-952,1420,-557) -> Matrix(19,10,-40,-21) Matrix(407,-166,738,-301) -> Matrix(3,2,-2,-1) Matrix(1255,-514,774,-317) -> Matrix(7,4,-2,-1) Matrix(1989,-820,1288,-531) -> Matrix(3,2,4,3) Matrix(367,-154,622,-261) -> Matrix(3,2,-2,-1) Matrix(8119,-3426,2230,-941) -> Matrix(3,2,-2,-1) Matrix(1717,-726,622,-263) -> Matrix(3,2,10,7) Matrix(547,-232,804,-341) -> Matrix(3,2,4,3) Matrix(511,-218,218,-93) -> Matrix(7,4,-2,-1) Matrix(3741,-1616,2396,-1035) -> Matrix(13,8,8,5) Matrix(1451,-630,942,-409) -> Matrix(3,2,-2,-1) Matrix(1085,-474,1774,-775) -> Matrix(25,14,-34,-19) Matrix(469,-206,362,-159) -> Matrix(11,6,-2,-1) Matrix(323,-146,250,-113) -> Matrix(5,2,2,1) Matrix(3069,-1402,1714,-783) -> Matrix(1,0,2,1) Matrix(6313,-2890,2890,-1323) -> Matrix(9,4,2,1) Matrix(2031,-934,1246,-573) -> Matrix(3,2,-2,-1) Matrix(1201,-568,776,-367) -> Matrix(1,2,0,1) Matrix(609,-326,170,-91) -> Matrix(3,2,-2,-1) Matrix(507,-274,742,-401) -> Matrix(1,0,2,1) Matrix(1719,-934,1246,-677) -> Matrix(1,0,6,1) Matrix(773,-424,268,-147) -> Matrix(1,0,4,1) Matrix(1071,-592,436,-241) -> Matrix(5,4,-4,-3) Matrix(1201,-670,1970,-1099) -> Matrix(25,14,-34,-19) Matrix(3169,-1772,1200,-671) -> Matrix(19,10,-40,-21) Matrix(3431,-1924,1300,-729) -> Matrix(25,12,-48,-23) Matrix(365,-206,466,-263) -> Matrix(5,2,-18,-7) Matrix(627,-362,362,-209) -> Matrix(1,0,-2,1) Matrix(659,-382,954,-553) -> Matrix(1,2,-2,-3) Matrix(1085,-632,788,-459) -> Matrix(1,0,8,1) Matrix(2427,-1420,952,-557) -> Matrix(3,2,-8,-5) Matrix(2655,-1558,622,-365) -> Matrix(1,0,6,1) Matrix(1311,-770,458,-269) -> Matrix(1,0,6,1) Matrix(229,-136,32,-19) -> Matrix(1,0,0,1) Matrix(4947,-3008,3008,-1829) -> Matrix(1,0,0,1) Matrix(3749,-2284,1712,-1043) -> Matrix(3,2,4,3) Matrix(3999,-2450,2450,-1501) -> Matrix(31,20,-14,-9) Matrix(2031,-1246,934,-573) -> Matrix(1,0,2,1) Matrix(161,-100,256,-159) -> Matrix(11,6,-24,-13) Matrix(1401,-886,574,-363) -> Matrix(5,2,2,1) Matrix(3691,-2340,1560,-989) -> Matrix(31,14,-20,-9) Matrix(3741,-2396,1616,-1035) -> Matrix(37,14,-8,-3) Matrix(7131,-4570,3010,-1929) -> Matrix(145,54,-94,-35) Matrix(6511,-4202,1706,-1101) -> Matrix(59,20,-62,-21) Matrix(9763,-6304,2560,-1653) -> Matrix(79,26,-76,-25) Matrix(1201,-776,568,-367) -> Matrix(13,4,16,5) Matrix(1451,-942,630,-409) -> Matrix(3,2,-2,-1) Matrix(2893,-1994,1786,-1231) -> Matrix(19,16,-6,-5) Matrix(521,-362,154,-107) -> Matrix(15,8,-2,-1) Matrix(733,-516,152,-107) -> Matrix(11,4,8,3) Matrix(731,-518,882,-625) -> Matrix(1,0,2,1) Matrix(2067,-1468,1156,-821) -> Matrix(7,2,-4,-1) Matrix(1937,-1390,818,-587) -> Matrix(35,8,-22,-5) Matrix(6897,-4960,4960,-3567) -> Matrix(1,0,8,1) Matrix(4113,-2960,1088,-783) -> Matrix(1,0,4,1) Matrix(2327,-1678,1782,-1285) -> Matrix(9,2,-14,-3) Matrix(4465,-3232,1568,-1135) -> Matrix(1,0,0,1) Matrix(1719,-1246,934,-677) -> Matrix(1,0,2,1) Matrix(1085,-788,632,-459) -> Matrix(1,0,4,1) Matrix(331,-242,450,-329) -> Matrix(1,0,14,1) Matrix(943,-720,148,-113) -> Matrix(5,4,-4,-3) Matrix(2327,-1782,1678,-1285) -> Matrix(1,0,6,1) Matrix(3649,-2800,1500,-1151) -> Matrix(1,0,0,1) Matrix(469,-362,206,-159) -> Matrix(11,6,-2,-1) Matrix(901,-712,348,-275) -> Matrix(1,0,8,1) Matrix(373,-304,200,-163) -> Matrix(1,0,-4,1) Matrix(971,-796,172,-141) -> Matrix(1,-8,0,1) Matrix(1541,-1268,1112,-915) -> Matrix(1,2,4,9) Matrix(1311,-1082,1082,-893) -> Matrix(3,2,-2,-1) Matrix(169,-144,196,-167) -> Matrix(3,2,-8,-5) Matrix(947,-822,250,-217) -> Matrix(1,0,2,1) Matrix(1105,-974,194,-171) -> Matrix(11,6,-2,-1) Matrix(357,-320,164,-147) -> Matrix(9,2,4,1) Matrix(323,-354,198,-217) -> Matrix(5,-2,-2,1) Matrix(169,-196,144,-167) -> Matrix(1,-2,0,1) Matrix(2149,-2530,502,-591) -> Matrix(1,2,2,5) Matrix(235,-284,24,-29) -> Matrix(1,2,0,1) Matrix(5359,-6498,4418,-5357) -> Matrix(9,10,-10,-11) Matrix(1501,-1826,1150,-1399) -> Matrix(1,2,-2,-3) Matrix(163,-202,46,-57) -> Matrix(3,2,-2,-1) Matrix(413,-524,160,-203) -> Matrix(1,0,-4,1) Matrix(297,-380,68,-87) -> Matrix(1,0,0,1) Matrix(949,-1236,248,-323) -> Matrix(3,4,-4,-5) Matrix(135,-178,22,-29) -> Matrix(3,2,-2,-1) Matrix(331,-450,242,-329) -> Matrix(1,0,22,1) Matrix(2449,-3376,568,-783) -> Matrix(1,0,-4,1) Matrix(1615,-2232,568,-785) -> Matrix(1,0,-8,1) Matrix(4003,-5564,936,-1301) -> Matrix(1,0,0,1) Matrix(14965,-20812,4328,-6019) -> Matrix(9,-2,-4,1) Matrix(6089,-8470,1762,-2451) -> Matrix(9,-4,-2,1) Matrix(1261,-1756,456,-635) -> Matrix(1,0,0,1) Matrix(453,-640,172,-243) -> Matrix(3,-2,-4,3) Matrix(301,-428,64,-91) -> Matrix(1,0,0,1) Matrix(659,-954,382,-553) -> Matrix(1,0,-2,1) Matrix(487,-710,190,-277) -> Matrix(1,0,-2,1) Matrix(1493,-2302,430,-663) -> Matrix(7,-10,-2,3) Matrix(6855,-10616,2816,-4361) -> Matrix(1,-2,0,1) Matrix(6303,-9766,2590,-4013) -> Matrix(1,-2,-2,5) Matrix(1529,-2372,448,-695) -> Matrix(1,-6,0,1) Matrix(4731,-7384,1300,-2029) -> Matrix(1,-2,0,1) Matrix(161,-256,100,-159) -> Matrix(1,-6,0,1) Matrix(993,-1606,358,-579) -> Matrix(1,4,2,9) Matrix(2719,-4406,714,-1157) -> Matrix(3,8,-2,-5) Matrix(5353,-8740,1876,-3063) -> Matrix(1,2,20,41) Matrix(6813,-11126,2390,-3903) -> Matrix(1,2,-26,-51) Matrix(869,-1420,276,-451) -> Matrix(7,12,4,7) Matrix(1201,-1970,670,-1099) -> Matrix(1,2,-2,-3) Matrix(1397,-2296,216,-355) -> Matrix(3,4,-4,-5) Matrix(367,-622,154,-261) -> Matrix(7,6,-6,-5) Matrix(1577,-2686,866,-1475) -> Matrix(13,8,-18,-11) Matrix(4729,-8062,1250,-2131) -> Matrix(7,4,-2,-1) Matrix(3741,-6398,1094,-1871) -> Matrix(3,2,-2,-1) Matrix(4933,-8482,1358,-2335) -> Matrix(3,2,-2,-1) Matrix(2139,-3686,878,-1513) -> Matrix(1,0,2,1) Matrix(1255,-2178,722,-1253) -> Matrix(1,0,10,1) Matrix(169,-298,38,-67) -> Matrix(1,0,2,1) Matrix(2579,-4596,748,-1333) -> Matrix(1,-4,0,1) Matrix(1401,-2500,784,-1399) -> Matrix(1,-2,0,1) Matrix(407,-738,166,-301) -> Matrix(3,2,-2,-1) Matrix(747,-1384,292,-541) -> Matrix(1,0,0,1) Matrix(307,-578,162,-305) -> Matrix(1,0,18,1) Matrix(4819,-10520,1732,-3781) -> Matrix(3,-8,8,-21) Matrix(145,-324,64,-143) -> Matrix(1,-10,0,1) Matrix(395,-906,126,-289) -> Matrix(3,10,2,7) Matrix(2093,-4824,456,-1051) -> Matrix(3,8,4,11) Matrix(4527,-10658,1922,-4525) -> Matrix(43,88,-22,-45) Matrix(1347,-3178,526,-1241) -> Matrix(1,2,-6,-11) Matrix(2531,-6050,1058,-2529) -> Matrix(33,34,-34,-35) Matrix(213,-514,46,-111) -> Matrix(1,0,2,1) Matrix(2657,-6546,826,-2035) -> Matrix(31,34,10,11) Matrix(913,-2260,284,-703) -> Matrix(11,8,4,3) Matrix(4351,-11250,1682,-4349) -> Matrix(1,0,34,1) Matrix(331,-866,86,-225) -> Matrix(1,2,-2,-3) Matrix(143,-378,14,-37) -> Matrix(5,2,2,1) Matrix(267,-722,98,-265) -> Matrix(1,0,14,1) Matrix(16831,-46818,6050,-16829) -> Matrix(19,-6,54,-17) Matrix(1773,-4936,412,-1147) -> Matrix(5,-2,8,-3) Matrix(617,-1722,110,-307) -> Matrix(21,-10,-2,1) Matrix(261,-830,50,-159) -> Matrix(7,-18,2,-5) Matrix(121,-400,36,-119) -> Matrix(1,-14,0,1) Matrix(2075,-7442,578,-2073) -> Matrix(3,8,-2,-5) Matrix(225,-814,34,-123) -> Matrix(1,2,-2,-3) Matrix(903,-3362,242,-901) -> Matrix(21,22,-22,-23) Matrix(185,-698,22,-83) -> Matrix(1,0,2,1) Matrix(211,-882,50,-209) -> Matrix(1,0,10,1) Matrix(959,-4398,186,-853) -> Matrix(7,-4,2,-1) Matrix(775,-3698,162,-773) -> Matrix(19,-18,18,-17) Matrix(89,-484,16,-87) -> Matrix(1,-18,0,1) Matrix(631,-4050,98,-629) -> Matrix(13,14,-14,-15) Matrix(139,-1058,18,-137) -> Matrix(1,0,6,1) 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): 112 Degree of the the map X: 112 Degree of the the map Y: 336 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1008 Minimal number of generators: 169 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 60 Genus: 55 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -11/24 -9/22 -7/20 -1/3 -5/18 -3/16 -1/7 0/1 2/11 5/21 3/10 1/3 7/19 4/9 1/2 14/25 5/8 11/15 6/7 1/1 7/6 15/11 3/2 8/5 5/3 25/14 9/5 2/1 9/4 7/3 5/2 75/29 19/7 3/1 10/3 7/2 61/17 51/14 11/3 103/27 4/1 21/5 17/4 9/2 19/4 43/9 5/1 11/2 23/4 6/1 13/2 7/1 15/2 23/3 8/1 17/2 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 -1/1 -1/2 -1/2 -8/17 -1/3 0/1 -7/15 -1/1 -6/13 -2/3 -3/5 -11/24 -1/2 -5/11 -2/5 -9/20 -1/4 -13/29 -1/3 -17/38 -1/6 -4/9 -1/1 0/1 -11/25 -2/3 -18/41 -1/1 -2/3 -7/16 -5/8 -3/7 -1/3 -14/33 -1/3 -2/7 -11/26 -1/6 -8/19 0/1 1/1 -13/31 0/1 -5/12 1/0 -7/17 -2/3 -9/22 -1/2 -11/27 -3/7 -2/5 -1/3 0/1 -9/23 0/1 -25/64 -1/2 -16/41 -1/1 0/1 -7/18 -1/2 -5/13 -1/1 -3/8 -1/4 -7/19 -1/5 -18/49 -1/7 0/1 -11/30 -1/10 -4/11 0/1 1/1 -9/25 -1/3 -23/64 -1/4 -14/39 -1/3 0/1 -5/14 1/2 -16/45 -1/1 0/1 -11/31 -1/1 -17/48 1/0 -23/65 -2/3 -6/17 -1/1 0/1 -7/20 -1/2 -1/3 0/1 -5/16 1/0 -9/29 -1/3 -4/13 -1/3 0/1 -11/36 3/8 -7/23 1/1 -3/10 -1/2 -8/27 0/1 1/5 -13/44 1/4 -5/17 1/1 -12/41 2/3 1/1 -7/24 1/0 -2/7 0/1 1/1 -5/18 1/0 -8/29 -3/1 -2/1 -3/11 -1/1 -10/37 -1/3 0/1 -7/26 -1/2 -4/15 0/1 1/1 -9/34 7/2 -5/19 -2/1 -6/23 -1/1 0/1 -7/27 -1/1 -8/31 -1/1 0/1 -1/4 1/0 -3/13 -2/1 -11/48 1/0 -8/35 -3/1 -2/1 -13/57 -1/1 -18/79 -3/1 -2/1 -5/22 -3/2 -7/31 -1/1 -2/9 -1/1 0/1 -7/32 -11/4 -12/55 -15/7 -2/1 -5/23 -2/1 -3/14 -3/2 -4/19 -1/1 -2/3 -5/24 1/0 -1/5 -1/1 -3/16 1/0 -5/27 -4/1 -2/11 -3/1 -2/1 -7/39 -3/1 -5/28 -7/4 -3/17 -4/3 -1/6 -3/2 -4/25 -1/1 -8/9 -7/44 -3/4 -3/19 -1/1 -5/32 -7/12 -2/13 -1/1 0/1 -3/20 1/0 -4/27 -4/3 -1/1 -5/34 -5/6 -1/7 0/1 -1/8 1/0 -1/9 -1/1 -2/19 -12/11 -1/1 -1/10 -5/6 0/1 -1/1 0/1 1/6 -1/2 3/17 -3/5 2/11 -1/2 3/16 -1/4 4/21 -1/5 0/1 1/5 0/1 3/14 -1/2 2/9 -1/1 0/1 3/13 -1/1 4/17 -8/7 -1/1 5/21 -1/1 6/25 -1/1 -14/15 1/4 -3/4 2/7 -2/3 -3/5 3/10 -1/2 4/13 -1/3 0/1 9/29 -2/5 5/16 -1/4 11/35 0/1 6/19 -1/7 0/1 1/3 -1/1 4/11 -2/1 -1/1 7/19 -1/1 10/27 -1/1 -8/9 3/8 -3/4 2/5 -1/1 0/1 7/17 -1/1 19/46 -3/4 12/29 -1/1 -2/3 5/12 -3/4 8/19 -2/3 -3/5 11/26 -1/2 14/33 -9/13 -2/3 3/7 -2/3 10/23 -3/5 -10/17 17/39 -3/5 7/16 -9/16 4/9 -1/2 5/11 -1/3 1/2 -1/2 7/13 -1/1 13/24 1/0 6/11 -1/1 0/1 5/9 -2/3 19/34 -1/2 14/25 -1/2 23/41 -9/19 9/16 -7/16 4/7 -1/3 0/1 11/19 0/1 18/31 -1/1 -2/3 25/43 -1/3 7/12 1/0 24/41 -1/2 17/29 0/1 10/17 0/1 1/1 13/22 -1/2 3/5 -1/1 5/8 -1/2 7/11 -2/5 16/25 -2/5 -5/13 41/64 -3/8 25/39 -7/19 9/14 -1/2 29/45 -4/11 20/31 -10/29 -1/3 11/17 -1/3 13/20 -3/8 2/3 -1/3 0/1 11/16 -5/4 20/29 -1/1 -4/5 9/13 -2/3 7/10 -1/2 5/7 -1/3 18/25 -1/5 0/1 31/43 -2/9 13/18 -1/6 21/29 0/1 8/11 -1/7 0/1 11/15 0/1 14/19 0/1 1/7 3/4 1/0 4/5 0/1 1/1 5/6 -1/2 11/13 -1/1 6/7 -1/2 13/15 -1/3 7/8 -1/4 15/17 -1/3 8/9 -1/3 0/1 1/1 0/1 7/6 1/0 13/11 -1/1 19/16 1/0 6/5 -1/1 0/1 17/14 -1/2 28/23 -1/1 -4/5 11/9 -1/1 5/4 -1/4 14/11 0/1 1/1 9/7 1/1 22/17 1/0 13/10 -3/2 4/3 -1/3 0/1 15/11 0/1 26/19 0/1 1/19 11/8 1/8 7/5 1/3 17/12 3/4 10/7 1/1 2/1 3/2 1/2 11/7 2/1 8/5 1/0 21/13 -4/1 34/21 -4/1 -3/1 81/50 -31/10 47/29 -3/1 13/8 1/0 44/27 -2/1 -1/1 31/19 -2/1 80/49 -27/13 -2/1 129/79 -2/1 49/30 -19/10 18/11 -2/1 -1/1 41/25 -2/1 23/14 -3/2 28/17 0/1 1/1 5/3 -1/1 17/10 -7/10 46/27 -8/13 -3/5 75/44 -7/12 29/17 -4/7 41/24 -1/2 12/7 -1/3 0/1 7/4 1/0 16/9 -1/1 0/1 25/14 1/0 34/19 -2/1 -1/1 43/24 1/0 9/5 0/1 11/6 -1/2 13/7 -1/3 2/1 0/1 1/1 9/4 1/0 16/7 -5/1 -4/1 39/17 -3/1 23/10 -7/2 53/23 -3/1 30/13 -3/1 -2/1 37/16 1/0 44/19 -4/1 -3/1 7/3 -2/1 26/11 -2/1 -5/3 19/8 -11/8 31/13 -1/1 12/5 -1/1 -2/3 5/2 -1/2 18/7 -1/3 0/1 31/12 -1/8 75/29 0/1 119/46 1/26 44/17 0/1 1/9 13/5 0/1 34/13 -2/1 -1/1 21/8 1/0 29/11 -3/5 66/25 -1/2 37/14 -1/2 8/3 -1/3 0/1 19/7 0/1 30/11 0/1 1/11 11/4 1/4 14/5 2/3 1/1 17/6 -1/2 20/7 0/1 1/7 23/8 1/4 3/1 1/1 22/7 5/3 2/1 19/6 13/6 16/5 3/1 4/1 13/4 1/0 10/3 1/0 27/8 1/0 17/5 -6/1 7/2 -5/2 25/7 -1/1 43/12 1/0 61/17 -2/1 79/22 -3/2 18/5 -2/1 -1/1 29/8 1/0 40/11 -1/1 0/1 51/14 1/0 11/3 -2/1 15/4 -3/4 34/9 -1/1 0/1 53/14 -1/2 19/5 -1/1 61/16 -13/12 103/27 -1/1 42/11 -1/1 -10/11 23/6 -1/2 4/1 -1/1 0/1 21/5 0/1 38/9 0/1 1/9 17/4 1/4 30/7 0/1 1/3 13/3 1/1 22/5 0/1 1/1 9/2 1/2 14/3 1/1 2/1 19/4 3/4 43/9 1/1 67/14 15/14 24/5 1/1 6/5 5/1 2/1 11/2 1/0 17/3 -7/1 57/10 -13/2 40/7 -6/1 -17/3 23/4 -19/4 6/1 -3/1 -2/1 13/2 -1/2 20/3 -1/1 0/1 7/1 -1/1 15/2 -1/2 23/3 0/1 31/4 1/4 8/1 0/1 1/1 17/2 3/2 9/1 0/1 10/1 1/1 2/1 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(689,326,298,141) (-1/2,-8/17) -> (30/13,37/16) Hyperbolic Matrix(491,230,-2154,-1009) (-8/17,-7/15) -> (-13/57,-18/79) Hyperbolic Matrix(485,226,294,137) (-7/15,-6/13) -> (28/17,5/3) Hyperbolic Matrix(821,378,480,221) (-6/13,-11/24) -> (41/24,12/7) Hyperbolic Matrix(1147,524,672,307) (-11/24,-5/11) -> (29/17,41/24) Hyperbolic Matrix(235,106,-756,-341) (-5/11,-9/20) -> (-5/16,-9/29) Hyperbolic Matrix(847,380,-2356,-1057) (-9/20,-13/29) -> (-9/25,-23/64) Hyperbolic Matrix(1367,612,-3862,-1729) (-13/29,-17/38) -> (-17/48,-23/65) Hyperbolic Matrix(1597,714,378,169) (-17/38,-4/9) -> (38/9,17/4) Hyperbolic Matrix(513,226,-1396,-615) (-4/9,-11/25) -> (-7/19,-18/49) Hyperbolic Matrix(2131,936,1300,571) (-11/25,-18/41) -> (18/11,41/25) Hyperbolic Matrix(461,202,-1294,-567) (-18/41,-7/16) -> (-5/14,-16/45) Hyperbolic Matrix(321,140,94,41) (-7/16,-3/7) -> (17/5,7/2) Hyperbolic Matrix(631,268,1448,615) (-3/7,-14/33) -> (10/23,17/39) Hyperbolic Matrix(1487,630,904,383) (-14/33,-11/26) -> (23/14,28/17) Hyperbolic Matrix(989,418,362,153) (-11/26,-8/19) -> (30/11,11/4) Hyperbolic Matrix(629,264,984,413) (-8/19,-13/31) -> (7/11,16/25) Hyperbolic Matrix(43,18,-356,-149) (-13/31,-5/12) -> (-1/8,-1/9) Hyperbolic Matrix(135,56,-446,-185) (-5/12,-7/17) -> (-7/23,-3/10) Hyperbolic Matrix(395,162,-968,-397) (-7/17,-9/22) -> (-9/22,-11/27) Parabolic Matrix(611,248,1052,427) (-11/27,-2/5) -> (18/31,25/43) Hyperbolic Matrix(301,118,-1028,-403) (-2/5,-9/23) -> (-5/17,-12/41) Hyperbolic Matrix(1877,734,514,201) (-9/23,-25/64) -> (51/14,11/3) Hyperbolic Matrix(4651,1816,1278,499) (-25/64,-16/41) -> (40/11,51/14) Hyperbolic Matrix(1195,466,-3326,-1297) (-16/41,-7/18) -> (-23/64,-14/39) Hyperbolic Matrix(129,50,-596,-231) (-7/18,-5/13) -> (-5/23,-3/14) Hyperbolic Matrix(127,48,82,31) (-5/13,-3/8) -> (3/2,11/7) Hyperbolic Matrix(43,16,-250,-93) (-3/8,-7/19) -> (-3/17,-1/6) Hyperbolic Matrix(697,256,1070,393) (-18/49,-11/30) -> (13/20,2/3) Hyperbolic Matrix(901,330,658,241) (-11/30,-4/11) -> (26/19,11/8) Hyperbolic Matrix(283,102,652,235) (-4/11,-9/25) -> (3/7,10/23) Hyperbolic Matrix(39,14,-404,-145) (-14/39,-5/14) -> (-1/10,0/1) Hyperbolic Matrix(563,200,-2176,-773) (-16/45,-11/31) -> (-7/27,-8/31) Hyperbolic Matrix(683,242,2176,771) (-11/31,-17/48) -> (5/16,11/35) Hyperbolic Matrix(2979,1054,1286,455) (-23/65,-6/17) -> (44/19,7/3) Hyperbolic Matrix(563,198,1362,479) (-6/17,-7/20) -> (19/46,12/29) Hyperbolic Matrix(197,68,478,165) (-7/20,-1/3) -> (7/17,19/46) Hyperbolic Matrix(191,60,226,71) (-1/3,-5/16) -> (5/6,11/13) Hyperbolic Matrix(149,46,-826,-255) (-9/29,-4/13) -> (-2/11,-7/39) Hyperbolic Matrix(523,160,-2396,-733) (-4/13,-11/36) -> (-7/32,-12/55) Hyperbolic Matrix(223,68,-1420,-433) (-11/36,-7/23) -> (-3/19,-5/32) Hyperbolic Matrix(221,66,298,89) (-3/10,-8/27) -> (14/19,3/4) Hyperbolic Matrix(2287,676,1404,415) (-8/27,-13/44) -> (13/8,44/27) Hyperbolic Matrix(481,142,1548,457) (-13/44,-5/17) -> (9/29,5/16) Hyperbolic Matrix(219,64,-1468,-429) (-12/41,-7/24) -> (-3/20,-4/27) Hyperbolic Matrix(475,138,148,43) (-7/24,-2/7) -> (16/5,13/4) Hyperbolic Matrix(179,50,-648,-181) (-2/7,-5/18) -> (-5/18,-8/29) Parabolic Matrix(751,206,288,79) (-8/29,-3/11) -> (13/5,34/13) Hyperbolic Matrix(569,154,-2494,-675) (-3/11,-10/37) -> (-8/35,-13/57) Hyperbolic Matrix(215,58,1138,307) (-10/37,-7/26) -> (3/16,4/21) Hyperbolic Matrix(179,48,-854,-229) (-7/26,-4/15) -> (-4/19,-5/24) Hyperbolic Matrix(143,38,-922,-245) (-4/15,-9/34) -> (-5/32,-2/13) Hyperbolic Matrix(953,252,1698,449) (-9/34,-5/19) -> (23/41,9/16) Hyperbolic Matrix(283,74,914,239) (-5/19,-6/23) -> (4/13,9/29) Hyperbolic Matrix(561,146,634,165) (-6/23,-7/27) -> (15/17,8/9) Hyperbolic Matrix(2521,650,702,181) (-8/31,-1/4) -> (79/22,18/5) Hyperbolic Matrix(33,8,70,17) (-1/4,-3/13) -> (5/11,1/2) Hyperbolic Matrix(235,54,-1484,-341) (-3/13,-11/48) -> (-7/44,-3/19) Hyperbolic Matrix(3137,718,1752,401) (-11/48,-8/35) -> (34/19,43/24) Hyperbolic Matrix(2625,598,338,77) (-18/79,-5/22) -> (31/4,8/1) Hyperbolic Matrix(875,198,738,167) (-5/22,-7/31) -> (13/11,19/16) Hyperbolic Matrix(1643,370,1008,227) (-7/31,-2/9) -> (44/27,31/19) Hyperbolic Matrix(399,88,68,15) (-2/9,-7/32) -> (23/4,6/1) Hyperbolic Matrix(101,22,-932,-203) (-12/55,-5/23) -> (-1/9,-2/19) Hyperbolic Matrix(197,42,530,113) (-3/14,-4/19) -> (10/27,3/8) Hyperbolic Matrix(1051,218,458,95) (-5/24,-1/5) -> (39/17,23/10) Hyperbolic Matrix(95,18,-512,-97) (-1/5,-3/16) -> (-3/16,-5/27) Parabolic Matrix(827,152,1148,211) (-5/27,-2/11) -> (18/25,31/43) Hyperbolic Matrix(223,40,-1522,-273) (-7/39,-5/28) -> (-5/34,-1/7) Hyperbolic Matrix(853,152,1330,237) (-5/28,-3/17) -> (25/39,9/14) Hyperbolic Matrix(61,10,250,41) (-1/6,-4/25) -> (6/25,1/4) Hyperbolic Matrix(3185,508,558,89) (-4/25,-7/44) -> (57/10,40/7) Hyperbolic Matrix(367,56,308,47) (-2/13,-3/20) -> (19/16,6/5) Hyperbolic Matrix(2625,388,548,81) (-4/27,-5/34) -> (67/14,24/5) Hyperbolic Matrix(31,4,178,23) (-1/7,-1/8) -> (1/6,3/17) Hyperbolic Matrix(2701,282,1044,109) (-2/19,-1/10) -> (119/46,44/17) Hyperbolic Matrix(113,-18,44,-7) (0/1,1/6) -> (5/2,18/7) Hyperbolic Matrix(595,-106,1016,-181) (3/17,2/11) -> (24/41,17/29) Hyperbolic Matrix(461,-86,788,-147) (2/11,3/16) -> (7/12,24/41) Hyperbolic Matrix(261,-50,830,-159) (4/21,1/5) -> (11/35,6/19) Hyperbolic Matrix(237,-50,128,-27) (1/5,3/14) -> (11/6,13/7) Hyperbolic Matrix(213,-46,514,-111) (3/14,2/9) -> (12/29,5/12) Hyperbolic Matrix(401,-92,170,-39) (2/9,3/13) -> (7/3,26/11) Hyperbolic Matrix(233,-54,548,-127) (3/13,4/17) -> (14/33,3/7) Hyperbolic Matrix(211,-50,882,-209) (4/17,5/21) -> (5/21,6/25) Parabolic Matrix(61,-16,42,-11) (1/4,2/7) -> (10/7,3/2) Hyperbolic Matrix(61,-18,200,-59) (2/7,3/10) -> (3/10,4/13) Parabolic Matrix(611,-194,948,-301) (6/19,1/3) -> (29/45,20/31) Hyperbolic Matrix(133,-48,230,-83) (1/3,4/11) -> (4/7,11/19) Hyperbolic Matrix(267,-98,722,-265) (4/11,7/19) -> (7/19,10/27) Parabolic Matrix(131,-50,76,-29) (3/8,2/5) -> (12/7,7/4) Hyperbolic Matrix(241,-98,332,-135) (2/5,7/17) -> (21/29,8/11) Hyperbolic Matrix(367,-154,622,-261) (5/12,8/19) -> (10/17,13/22) Hyperbolic Matrix(1591,-672,438,-185) (8/19,11/26) -> (29/8,40/11) Hyperbolic Matrix(3671,-1556,2154,-913) (11/26,14/33) -> (46/27,75/44) Hyperbolic Matrix(815,-356,1266,-553) (17/39,7/16) -> (9/14,29/45) Hyperbolic Matrix(469,-206,362,-159) (7/16,4/9) -> (22/17,13/10) Hyperbolic Matrix(323,-146,250,-113) (4/9,5/11) -> (9/7,22/17) Hyperbolic Matrix(609,-326,170,-91) (1/2,7/13) -> (25/7,43/12) Hyperbolic Matrix(1671,-902,980,-529) (7/13,13/24) -> (75/44,29/17) Hyperbolic Matrix(1399,-760,370,-201) (13/24,6/11) -> (34/9,53/14) Hyperbolic Matrix(217,-120,302,-167) (6/11,5/9) -> (5/7,18/25) Hyperbolic Matrix(1219,-680,1902,-1061) (5/9,19/34) -> (41/64,25/39) Hyperbolic Matrix(3169,-1772,1200,-671) (19/34,14/25) -> (66/25,37/14) Hyperbolic Matrix(3431,-1924,1300,-729) (14/25,23/41) -> (29/11,66/25) Hyperbolic Matrix(549,-310,232,-131) (9/16,4/7) -> (26/11,19/8) Hyperbolic Matrix(659,-382,954,-553) (11/19,18/31) -> (20/29,9/13) Hyperbolic Matrix(839,-488,98,-57) (25/43,7/12) -> (17/2,9/1) Hyperbolic Matrix(999,-586,820,-481) (17/29,10/17) -> (28/23,11/9) Hyperbolic Matrix(229,-136,32,-19) (13/22,3/5) -> (7/1,15/2) Hyperbolic Matrix(81,-50,128,-79) (3/5,5/8) -> (5/8,7/11) Parabolic Matrix(3741,-2396,1616,-1035) (16/25,41/64) -> (37/16,44/19) Hyperbolic Matrix(2321,-1500,1422,-919) (20/31,11/17) -> (31/19,80/49) Hyperbolic Matrix(1451,-942,630,-409) (11/17,13/20) -> (23/10,53/23) Hyperbolic Matrix(787,-540,462,-317) (2/3,11/16) -> (17/10,46/27) Hyperbolic Matrix(2893,-1994,1786,-1231) (11/16,20/29) -> (34/21,81/50) Hyperbolic Matrix(521,-362,154,-107) (9/13,7/10) -> (27/8,17/5) Hyperbolic Matrix(167,-118,92,-65) (7/10,5/7) -> (9/5,11/6) Hyperbolic Matrix(1043,-752,362,-261) (31/43,13/18) -> (23/8,3/1) Hyperbolic Matrix(1223,-884,754,-545) (13/18,21/29) -> (47/29,13/8) Hyperbolic Matrix(331,-242,450,-329) (8/11,11/15) -> (11/15,14/19) Parabolic Matrix(73,-56,30,-23) (3/4,4/5) -> (12/5,5/2) Hyperbolic Matrix(129,-106,28,-23) (4/5,5/6) -> (9/2,14/3) Hyperbolic Matrix(169,-144,196,-167) (11/13,6/7) -> (6/7,13/15) Parabolic Matrix(947,-822,250,-217) (13/15,7/8) -> (53/14,19/5) Hyperbolic Matrix(1105,-974,194,-171) (7/8,15/17) -> (17/3,57/10) Hyperbolic Matrix(507,-454,220,-197) (8/9,1/1) -> (53/23,30/13) Hyperbolic Matrix(85,-98,72,-83) (1/1,7/6) -> (7/6,13/11) Parabolic Matrix(505,-612,118,-143) (6/5,17/14) -> (17/4,30/7) Hyperbolic Matrix(809,-984,282,-343) (17/14,28/23) -> (20/7,23/8) Hyperbolic Matrix(163,-202,46,-57) (11/9,5/4) -> (7/2,25/7) Hyperbolic Matrix(413,-524,160,-203) (5/4,14/11) -> (18/7,31/12) Hyperbolic Matrix(297,-380,68,-87) (14/11,9/7) -> (13/3,22/5) Hyperbolic Matrix(191,-250,68,-89) (13/10,4/3) -> (14/5,17/6) Hyperbolic Matrix(331,-450,242,-329) (4/3,15/11) -> (15/11,26/19) Parabolic Matrix(163,-226,44,-61) (11/8,7/5) -> (11/3,15/4) Hyperbolic Matrix(453,-640,172,-243) (7/5,17/12) -> (21/8,29/11) Hyperbolic Matrix(301,-428,64,-91) (17/12,10/7) -> (14/3,19/4) Hyperbolic Matrix(161,-256,100,-159) (11/7,8/5) -> (8/5,21/13) Parabolic Matrix(407,-658,60,-97) (21/13,34/21) -> (20/3,7/1) Hyperbolic Matrix(2719,-4406,714,-1157) (81/50,47/29) -> (19/5,61/16) Hyperbolic Matrix(8365,-13658,2192,-3579) (80/49,129/79) -> (103/27,42/11) Hyperbolic Matrix(7909,-12916,2074,-3387) (129/79,49/30) -> (61/16,103/27) Hyperbolic Matrix(869,-1420,276,-451) (49/30,18/11) -> (22/7,19/6) Hyperbolic Matrix(1201,-1970,670,-1099) (41/25,23/14) -> (43/24,9/5) Hyperbolic Matrix(367,-622,154,-261) (5/3,17/10) -> (19/8,31/13) Hyperbolic Matrix(169,-298,38,-67) (7/4,16/9) -> (22/5,9/2) Hyperbolic Matrix(701,-1250,392,-699) (16/9,25/14) -> (25/14,34/19) Parabolic Matrix(173,-322,36,-67) (13/7,2/1) -> (24/5,5/1) Hyperbolic Matrix(73,-162,32,-71) (2/1,9/4) -> (9/4,16/7) Parabolic Matrix(395,-906,126,-289) (16/7,39/17) -> (3/1,22/7) Hyperbolic Matrix(637,-1520,246,-587) (31/13,12/5) -> (44/17,13/5) Hyperbolic Matrix(4351,-11250,1682,-4349) (31/12,75/29) -> (75/29,119/46) Parabolic Matrix(331,-866,86,-225) (34/13,21/8) -> (23/6,4/1) Hyperbolic Matrix(143,-378,14,-37) (37/14,8/3) -> (10/1,1/0) Hyperbolic Matrix(267,-722,98,-265) (8/3,19/7) -> (19/7,30/11) Parabolic Matrix(89,-248,14,-39) (11/4,14/5) -> (6/1,13/2) Hyperbolic Matrix(413,-1174,108,-307) (17/6,20/7) -> (42/11,23/6) Hyperbolic Matrix(355,-1128,62,-197) (19/6,16/5) -> (40/7,23/4) Hyperbolic Matrix(121,-400,36,-119) (13/4,10/3) -> (10/3,27/8) Parabolic Matrix(2075,-7442,578,-2073) (43/12,61/17) -> (61/17,79/22) Parabolic Matrix(225,-814,34,-123) (18/5,29/8) -> (13/2,20/3) Hyperbolic Matrix(185,-698,22,-83) (15/4,34/9) -> (8/1,17/2) Hyperbolic Matrix(211,-882,50,-209) (4/1,21/5) -> (21/5,38/9) Parabolic Matrix(93,-400,10,-43) (30/7,13/3) -> (9/1,10/1) Hyperbolic Matrix(775,-3698,162,-773) (19/4,43/9) -> (43/9,67/14) Parabolic Matrix(45,-242,8,-43) (5/1,11/2) -> (11/2,17/3) Parabolic Matrix(139,-1058,18,-137) (15/2,23/3) -> (23/3,31/4) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,2,-2,-3) Matrix(689,326,298,141) -> Matrix(3,2,-2,-1) Matrix(491,230,-2154,-1009) -> Matrix(3,2,-2,-1) Matrix(485,226,294,137) -> Matrix(3,2,-2,-1) Matrix(821,378,480,221) -> Matrix(5,3,-12,-7) Matrix(1147,524,672,307) -> Matrix(13,6,-24,-11) Matrix(235,106,-756,-341) -> Matrix(3,1,-4,-1) Matrix(847,380,-2356,-1057) -> Matrix(1,0,0,1) Matrix(1367,612,-3862,-1729) -> Matrix(5,1,-6,-1) Matrix(1597,714,378,169) -> Matrix(1,0,10,1) Matrix(513,226,-1396,-615) -> Matrix(1,1,-8,-7) Matrix(2131,936,1300,571) -> Matrix(5,4,-4,-3) Matrix(461,202,-1294,-567) -> Matrix(3,2,-2,-1) Matrix(321,140,94,41) -> Matrix(9,5,-2,-1) Matrix(631,268,1448,615) -> Matrix(9,4,-16,-7) Matrix(1487,630,904,383) -> Matrix(3,1,-4,-1) Matrix(989,418,362,153) -> Matrix(1,0,10,1) Matrix(629,264,984,413) -> Matrix(3,2,-8,-5) Matrix(43,18,-356,-149) -> Matrix(1,-1,0,1) Matrix(135,56,-446,-185) -> Matrix(1,1,-2,-1) Matrix(395,162,-968,-397) -> Matrix(9,5,-20,-11) Matrix(611,248,1052,427) -> Matrix(5,2,-8,-3) Matrix(301,118,-1028,-403) -> Matrix(1,1,0,1) Matrix(1877,734,514,201) -> Matrix(3,2,-2,-1) Matrix(4651,1816,1278,499) -> Matrix(1,1,-2,-1) Matrix(1195,466,-3326,-1297) -> Matrix(1,0,-2,1) Matrix(129,50,-596,-231) -> Matrix(1,-1,0,1) Matrix(127,48,82,31) -> Matrix(3,1,2,1) Matrix(43,16,-250,-93) -> Matrix(1,1,-2,-1) Matrix(697,256,1070,393) -> Matrix(7,1,-22,-3) Matrix(901,330,658,241) -> Matrix(1,0,18,1) Matrix(283,102,652,235) -> Matrix(7,3,-12,-5) Matrix(39,14,-404,-145) -> Matrix(3,1,-4,-1) Matrix(563,200,-2176,-773) -> Matrix(1,0,0,1) Matrix(683,242,2176,771) -> Matrix(1,1,-4,-3) Matrix(2979,1054,1286,455) -> Matrix(7,4,-2,-1) Matrix(563,198,1362,479) -> Matrix(1,2,-2,-3) Matrix(197,68,478,165) -> Matrix(5,1,-6,-1) Matrix(191,60,226,71) -> Matrix(1,1,-2,-1) Matrix(149,46,-826,-255) -> Matrix(3,2,-2,-1) Matrix(523,160,-2396,-733) -> Matrix(9,-2,-4,1) Matrix(223,68,-1420,-433) -> Matrix(3,-2,-4,3) Matrix(221,66,298,89) -> Matrix(1,0,2,1) Matrix(2287,676,1404,415) -> Matrix(9,-2,-4,1) Matrix(481,142,1548,457) -> Matrix(3,-1,-8,3) Matrix(219,64,-1468,-429) -> Matrix(1,-2,0,1) Matrix(475,138,148,43) -> Matrix(1,3,0,1) Matrix(179,50,-648,-181) -> Matrix(1,-3,0,1) Matrix(751,206,288,79) -> Matrix(1,1,0,1) Matrix(569,154,-2494,-675) -> Matrix(3,2,-2,-1) Matrix(215,58,1138,307) -> Matrix(1,0,-2,1) Matrix(179,48,-854,-229) -> Matrix(1,1,-2,-1) Matrix(143,38,-922,-245) -> Matrix(1,0,-2,1) Matrix(953,252,1698,449) -> Matrix(1,-7,-2,15) Matrix(283,74,914,239) -> Matrix(1,0,-2,1) Matrix(561,146,634,165) -> Matrix(1,0,-2,1) Matrix(2521,650,702,181) -> Matrix(3,2,-2,-1) Matrix(33,8,70,17) -> Matrix(1,1,-2,-1) Matrix(235,54,-1484,-341) -> Matrix(3,7,-4,-9) Matrix(3137,718,1752,401) -> Matrix(1,1,0,1) Matrix(2625,598,338,77) -> Matrix(1,2,2,5) Matrix(875,198,738,167) -> Matrix(1,2,-2,-3) Matrix(1643,370,1008,227) -> Matrix(1,-1,0,1) Matrix(399,88,68,15) -> Matrix(1,-2,0,1) Matrix(101,22,-932,-203) -> Matrix(5,9,-4,-7) Matrix(197,42,530,113) -> Matrix(5,6,-6,-7) Matrix(1051,218,458,95) -> Matrix(7,4,-2,-1) Matrix(95,18,-512,-97) -> Matrix(1,-3,0,1) Matrix(827,152,1148,211) -> Matrix(1,2,-4,-7) Matrix(223,40,-1522,-273) -> Matrix(1,3,-2,-5) Matrix(853,152,1330,237) -> Matrix(5,9,-14,-25) Matrix(61,10,250,41) -> Matrix(5,6,-6,-7) Matrix(3185,508,558,89) -> Matrix(37,31,-6,-5) Matrix(367,56,308,47) -> Matrix(1,0,0,1) Matrix(2625,388,548,81) -> Matrix(9,10,8,9) Matrix(31,4,178,23) -> Matrix(1,3,-2,-5) Matrix(2701,282,1044,109) -> Matrix(1,1,20,21) Matrix(113,-18,44,-7) -> Matrix(1,1,-4,-3) Matrix(595,-106,1016,-181) -> Matrix(5,3,-12,-7) Matrix(461,-86,788,-147) -> Matrix(3,1,-4,-1) Matrix(261,-50,830,-159) -> Matrix(1,0,-2,1) Matrix(237,-50,128,-27) -> Matrix(1,1,-4,-3) Matrix(213,-46,514,-111) -> Matrix(1,2,-2,-3) Matrix(401,-92,170,-39) -> Matrix(3,5,-2,-3) Matrix(233,-54,548,-127) -> Matrix(5,7,-8,-11) Matrix(211,-50,882,-209) -> Matrix(21,22,-22,-23) Matrix(61,-16,42,-11) -> Matrix(1,1,-2,-1) Matrix(61,-18,200,-59) -> Matrix(5,3,-12,-7) Matrix(611,-194,948,-301) -> Matrix(3,-1,-8,3) Matrix(133,-48,230,-83) -> Matrix(1,1,-2,-1) Matrix(267,-98,722,-265) -> Matrix(9,10,-10,-11) Matrix(131,-50,76,-29) -> Matrix(1,1,-4,-3) Matrix(241,-98,332,-135) -> Matrix(1,1,-8,-7) Matrix(367,-154,622,-261) -> Matrix(3,2,-2,-1) Matrix(1591,-672,438,-185) -> Matrix(5,3,-2,-1) Matrix(3671,-1556,2154,-913) -> Matrix(15,11,-26,-19) Matrix(815,-356,1266,-553) -> Matrix(23,13,-62,-35) Matrix(469,-206,362,-159) -> Matrix(11,6,-2,-1) Matrix(323,-146,250,-113) -> Matrix(5,2,2,1) Matrix(609,-326,170,-91) -> Matrix(3,2,-2,-1) Matrix(1671,-902,980,-529) -> Matrix(7,3,-12,-5) Matrix(1399,-760,370,-201) -> Matrix(1,1,-2,-1) Matrix(217,-120,302,-167) -> Matrix(1,1,-6,-5) Matrix(1219,-680,1902,-1061) -> Matrix(23,13,-62,-35) Matrix(3169,-1772,1200,-671) -> Matrix(19,10,-40,-21) Matrix(3431,-1924,1300,-729) -> Matrix(25,12,-48,-23) Matrix(549,-310,232,-131) -> Matrix(13,5,-8,-3) Matrix(659,-382,954,-553) -> Matrix(1,2,-2,-3) Matrix(839,-488,98,-57) -> Matrix(3,1,2,1) Matrix(999,-586,820,-481) -> Matrix(3,1,-4,-1) Matrix(229,-136,32,-19) -> Matrix(1,0,0,1) Matrix(81,-50,128,-79) -> Matrix(5,3,-12,-7) Matrix(3741,-2396,1616,-1035) -> Matrix(37,14,-8,-3) Matrix(2321,-1500,1422,-919) -> Matrix(23,7,-10,-3) Matrix(1451,-942,630,-409) -> Matrix(3,2,-2,-1) Matrix(787,-540,462,-317) -> Matrix(1,3,-2,-5) Matrix(2893,-1994,1786,-1231) -> Matrix(19,16,-6,-5) Matrix(521,-362,154,-107) -> Matrix(15,8,-2,-1) Matrix(167,-118,92,-65) -> Matrix(3,1,-4,-1) Matrix(1043,-752,362,-261) -> Matrix(5,1,14,3) Matrix(1223,-884,754,-545) -> Matrix(17,3,-6,-1) Matrix(331,-242,450,-329) -> Matrix(1,0,14,1) Matrix(73,-56,30,-23) -> Matrix(1,1,-2,-1) Matrix(129,-106,28,-23) -> Matrix(1,1,0,1) Matrix(169,-144,196,-167) -> Matrix(3,2,-8,-5) Matrix(947,-822,250,-217) -> Matrix(1,0,2,1) Matrix(1105,-974,194,-171) -> Matrix(11,6,-2,-1) Matrix(507,-454,220,-197) -> Matrix(11,3,-4,-1) Matrix(85,-98,72,-83) -> Matrix(1,-1,0,1) Matrix(505,-612,118,-143) -> Matrix(1,1,2,3) Matrix(809,-984,282,-343) -> Matrix(1,1,2,3) Matrix(163,-202,46,-57) -> Matrix(3,2,-2,-1) Matrix(413,-524,160,-203) -> Matrix(1,0,-4,1) Matrix(297,-380,68,-87) -> Matrix(1,0,0,1) Matrix(191,-250,68,-89) -> Matrix(1,1,0,1) Matrix(331,-450,242,-329) -> Matrix(1,0,22,1) Matrix(163,-226,44,-61) -> Matrix(5,-1,-4,1) Matrix(453,-640,172,-243) -> Matrix(3,-2,-4,3) Matrix(301,-428,64,-91) -> Matrix(1,0,0,1) Matrix(161,-256,100,-159) -> Matrix(1,-6,0,1) Matrix(407,-658,60,-97) -> Matrix(1,3,0,1) Matrix(2719,-4406,714,-1157) -> Matrix(3,8,-2,-5) Matrix(8365,-13658,2192,-3579) -> Matrix(23,47,-24,-49) Matrix(7909,-12916,2074,-3387) -> Matrix(23,45,-22,-43) Matrix(869,-1420,276,-451) -> Matrix(7,12,4,7) Matrix(1201,-1970,670,-1099) -> Matrix(1,2,-2,-3) Matrix(367,-622,154,-261) -> Matrix(7,6,-6,-5) Matrix(169,-298,38,-67) -> Matrix(1,0,2,1) Matrix(701,-1250,392,-699) -> Matrix(1,-1,0,1) Matrix(173,-322,36,-67) -> Matrix(5,1,4,1) Matrix(73,-162,32,-71) -> Matrix(1,-5,0,1) Matrix(395,-906,126,-289) -> Matrix(3,10,2,7) Matrix(637,-1520,246,-587) -> Matrix(1,1,6,7) Matrix(4351,-11250,1682,-4349) -> Matrix(1,0,34,1) Matrix(331,-866,86,-225) -> Matrix(1,2,-2,-3) Matrix(143,-378,14,-37) -> Matrix(5,2,2,1) Matrix(267,-722,98,-265) -> Matrix(1,0,14,1) Matrix(89,-248,14,-39) -> Matrix(3,-1,-2,1) Matrix(413,-1174,108,-307) -> Matrix(3,1,-4,-1) Matrix(355,-1128,62,-197) -> Matrix(11,-27,-2,5) Matrix(121,-400,36,-119) -> Matrix(1,-14,0,1) Matrix(2075,-7442,578,-2073) -> Matrix(3,8,-2,-5) Matrix(225,-814,34,-123) -> Matrix(1,2,-2,-3) Matrix(185,-698,22,-83) -> Matrix(1,0,2,1) Matrix(211,-882,50,-209) -> Matrix(1,0,10,1) Matrix(93,-400,10,-43) -> Matrix(1,-1,2,-1) Matrix(775,-3698,162,-773) -> Matrix(19,-18,18,-17) Matrix(45,-242,8,-43) -> Matrix(1,-9,0,1) Matrix(139,-1058,18,-137) -> Matrix(1,0,6,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 3 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 2 Genus: 0 Degree of H/liftables -> H/(image of liftables): 112 ----------------------------------------------------------------------- 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 -1/1 1 1 0/1 (-1/1,0/1) 0 26 1/6 -1/2 1 26 2/11 -1/2 2 2 3/16 -1/4 1 26 1/5 0/1 1 13 3/14 -1/2 1 26 2/9 (-1/1,0/1) 0 26 3/13 -1/1 1 13 4/17 (-8/7,-1/1) 0 26 5/21 -1/1 11 1 1/4 -3/4 1 26 2/7 (-2/3,-3/5) 0 26 3/10 -1/2 3 2 4/13 (-1/3,0/1) 0 26 5/16 -1/4 1 26 6/19 (-1/7,0/1) 0 26 1/3 -1/1 1 13 4/11 (-2/1,-1/1) 0 26 7/19 -1/1 5 1 3/8 -3/4 1 26 2/5 (-1/1,0/1) 0 26 7/17 -1/1 1 13 12/29 (-1/1,-2/3) 0 26 5/12 -3/4 1 26 8/19 (-2/3,-3/5) 0 26 11/26 -1/2 1 26 14/33 (-9/13,-2/3) 0 26 3/7 -2/3 1 13 7/16 -9/16 1 26 4/9 -1/2 4 2 1/2 -1/2 1 26 7/13 -1/1 1 13 13/24 1/0 1 26 6/11 (-1/1,0/1) 0 26 5/9 -2/3 1 13 19/34 -1/2 1 26 14/25 -1/2 11 2 9/16 -7/16 1 26 4/7 (-1/3,0/1) 0 26 11/19 0/1 1 13 18/31 (-1/1,-2/3) 0 26 7/12 1/0 1 26 17/29 0/1 1 13 10/17 (0/1,1/1) 0 26 13/22 -1/2 1 26 3/5 -1/1 1 13 5/8 -1/2 3 2 7/11 -2/5 1 13 9/14 -1/2 1 26 20/31 (-10/29,-1/3) 0 26 11/17 -1/3 1 13 2/3 (-1/3,0/1) 0 26 11/16 -5/4 1 26 20/29 (-1/1,-4/5) 0 26 9/13 -2/3 1 13 7/10 -1/2 1 26 5/7 -1/3 1 13 18/25 (-1/5,0/1) 0 26 13/18 -1/6 1 26 21/29 0/1 1 13 8/11 (-1/7,0/1) 0 26 11/15 0/1 7 1 3/4 1/0 1 26 4/5 (0/1,1/1) 0 26 5/6 -1/2 1 26 6/7 -1/2 1 2 7/8 -1/4 1 26 8/9 (-1/3,0/1) 0 26 1/1 0/1 1 13 7/6 1/0 1 2 13/11 -1/1 1 13 6/5 (-1/1,0/1) 0 26 17/14 -1/2 1 26 28/23 (-1/1,-4/5) 0 26 11/9 -1/1 1 13 5/4 -1/4 1 26 14/11 (0/1,1/1) 0 26 9/7 1/1 1 13 13/10 -3/2 1 26 4/3 (-1/3,0/1) 0 26 15/11 0/1 11 1 11/8 1/8 1 26 7/5 1/3 1 13 17/12 3/4 1 26 10/7 (1/1,2/1) 0 26 3/2 1/2 1 26 8/5 1/0 3 2 13/8 1/0 1 26 31/19 -2/1 1 13 80/49 (-27/13,-2/1) 0 26 129/79 -2/1 23 1 49/30 -19/10 1 26 18/11 (-2/1,-1/1) 0 26 23/14 -3/2 1 26 5/3 -1/1 1 13 17/10 -7/10 1 26 46/27 (-8/13,-3/5) 0 26 75/44 -7/12 1 26 29/17 -4/7 1 13 12/7 (-1/3,0/1) 0 26 7/4 1/0 1 26 16/9 (-1/1,0/1) 0 26 25/14 1/0 1 2 34/19 (-2/1,-1/1) 0 26 9/5 0/1 1 13 11/6 -1/2 1 26 13/7 -1/3 1 13 2/1 (0/1,1/1) 0 26 9/4 1/0 5 2 16/7 (-5/1,-4/1) 0 26 23/10 -7/2 1 26 30/13 (-3/1,-2/1) 0 26 7/3 -2/1 1 13 26/11 (-2/1,-5/3) 0 26 19/8 -11/8 1 26 31/13 -1/1 1 13 12/5 (-1/1,-2/3) 0 26 5/2 -1/2 1 26 18/7 (-1/3,0/1) 0 26 31/12 -1/8 1 26 75/29 0/1 17 1 44/17 (0/1,1/9) 0 26 13/5 0/1 1 13 21/8 1/0 1 26 29/11 -3/5 1 13 37/14 -1/2 1 26 8/3 (-1/3,0/1) 0 26 19/7 0/1 7 1 11/4 1/4 1 26 14/5 (2/3,1/1) 0 26 17/6 -1/2 1 26 20/7 (0/1,1/7) 0 26 3/1 1/1 1 13 13/4 1/0 1 26 10/3 1/0 7 2 7/2 -5/2 1 26 25/7 -1/1 1 13 43/12 1/0 1 26 61/17 -2/1 1 1 18/5 (-2/1,-1/1) 0 26 29/8 1/0 1 26 40/11 (-1/1,0/1) 0 26 11/3 -2/1 1 13 15/4 -3/4 1 26 34/9 (-1/1,0/1) 0 26 19/5 -1/1 1 13 4/1 (-1/1,0/1) 0 26 21/5 0/1 5 1 17/4 1/4 1 26 30/7 (0/1,1/3) 0 26 13/3 1/1 1 13 22/5 (0/1,1/1) 0 26 9/2 1/2 1 26 14/3 (1/1,2/1) 0 26 19/4 3/4 1 26 43/9 1/1 9 1 24/5 (1/1,6/5) 0 26 5/1 2/1 1 13 11/2 1/0 9 2 17/3 -7/1 1 13 6/1 (-3/1,-2/1) 0 26 13/2 -1/2 1 26 7/1 -1/1 1 13 15/2 -1/2 1 26 23/3 0/1 3 1 8/1 (0/1,1/1) 0 26 9/1 0/1 1 13 10/1 (1/1,2/1) 0 26 1/0 1/0 1 26 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(113,-18,44,-7) (0/1,1/6) -> (5/2,18/7) Hyperbolic Matrix(23,-4,132,-23) (1/6,2/11) -> (1/6,2/11) Reflection Matrix(65,-12,352,-65) (2/11,3/16) -> (2/11,3/16) Reflection Matrix(307,-58,524,-99) (3/16,1/5) -> (7/12,17/29) Glide Reflection Matrix(237,-50,128,-27) (1/5,3/14) -> (11/6,13/7) Hyperbolic Matrix(213,-46,514,-111) (3/14,2/9) -> (12/29,5/12) Hyperbolic Matrix(401,-92,170,-39) (2/9,3/13) -> (7/3,26/11) Hyperbolic Matrix(233,-54,548,-127) (3/13,4/17) -> (14/33,3/7) Hyperbolic Matrix(169,-40,714,-169) (4/17,5/21) -> (4/17,5/21) Reflection Matrix(41,-10,168,-41) (5/21,1/4) -> (5/21,1/4) Reflection Matrix(61,-16,42,-11) (1/4,2/7) -> (10/7,3/2) Hyperbolic Matrix(61,-18,200,-59) (2/7,3/10) -> (3/10,4/13) Parabolic Matrix(457,-142,634,-197) (4/13,5/16) -> (18/25,13/18) Glide Reflection Matrix(771,-242,634,-199) (5/16,6/19) -> (17/14,28/23) Glide Reflection Matrix(117,-38,40,-13) (6/19,1/3) -> (20/7,3/1) Glide Reflection Matrix(133,-48,230,-83) (1/3,4/11) -> (4/7,11/19) Hyperbolic Matrix(153,-56,418,-153) (4/11,7/19) -> (4/11,7/19) Reflection Matrix(113,-42,304,-113) (7/19,3/8) -> (7/19,3/8) Reflection Matrix(131,-50,76,-29) (3/8,2/5) -> (12/7,7/4) Hyperbolic Matrix(241,-98,332,-135) (2/5,7/17) -> (21/29,8/11) Hyperbolic Matrix(479,-198,404,-167) (7/17,12/29) -> (13/11,6/5) Glide Reflection Matrix(367,-154,622,-261) (5/12,8/19) -> (10/17,13/22) Hyperbolic Matrix(1591,-672,438,-185) (8/19,11/26) -> (29/8,40/11) Hyperbolic Matrix(3671,-1556,2154,-913) (11/26,14/33) -> (46/27,75/44) Hyperbolic Matrix(235,-102,182,-79) (3/7,7/16) -> (9/7,13/10) Glide Reflection Matrix(127,-56,288,-127) (7/16,4/9) -> (7/16,4/9) Reflection Matrix(17,-8,36,-17) (4/9,1/2) -> (4/9,1/2) Reflection Matrix(609,-326,170,-91) (1/2,7/13) -> (25/7,43/12) Hyperbolic Matrix(1671,-902,980,-529) (7/13,13/24) -> (75/44,29/17) Hyperbolic Matrix(269,-146,304,-165) (13/24,6/11) -> (7/8,8/9) Glide Reflection Matrix(217,-120,302,-167) (6/11,5/9) -> (5/7,18/25) Hyperbolic Matrix(1319,-736,500,-279) (5/9,19/34) -> (29/11,37/14) Glide Reflection Matrix(951,-532,1700,-951) (19/34,14/25) -> (19/34,14/25) Reflection Matrix(449,-252,800,-449) (14/25,9/16) -> (14/25,9/16) Reflection Matrix(549,-310,232,-131) (9/16,4/7) -> (26/11,19/8) Hyperbolic Matrix(659,-382,954,-553) (11/19,18/31) -> (20/29,9/13) Hyperbolic Matrix(905,-526,394,-229) (18/31,7/12) -> (16/7,23/10) Glide Reflection Matrix(999,-586,820,-481) (17/29,10/17) -> (28/23,11/9) Hyperbolic Matrix(229,-136,32,-19) (13/22,3/5) -> (7/1,15/2) Hyperbolic Matrix(81,-50,128,-79) (3/5,5/8) -> (5/8,7/11) Parabolic Matrix(413,-264,158,-101) (7/11,9/14) -> (13/5,21/8) Glide Reflection Matrix(807,-520,284,-183) (9/14,20/31) -> (17/6,20/7) Glide Reflection Matrix(2321,-1500,1422,-919) (20/31,11/17) -> (31/19,80/49) Hyperbolic Matrix(125,-82,32,-21) (11/17,2/3) -> (19/5,4/1) Glide Reflection Matrix(787,-540,462,-317) (2/3,11/16) -> (17/10,46/27) Hyperbolic Matrix(1709,-1178,1046,-721) (11/16,20/29) -> (49/30,18/11) Glide Reflection Matrix(199,-138,62,-43) (9/13,7/10) -> (3/1,13/4) Glide Reflection Matrix(167,-118,92,-65) (7/10,5/7) -> (9/5,11/6) Hyperbolic Matrix(935,-676,574,-415) (13/18,21/29) -> (13/8,31/19) Glide Reflection Matrix(241,-176,330,-241) (8/11,11/15) -> (8/11,11/15) Reflection Matrix(89,-66,120,-89) (11/15,3/4) -> (11/15,3/4) Reflection Matrix(73,-56,30,-23) (3/4,4/5) -> (12/5,5/2) Hyperbolic Matrix(129,-106,28,-23) (4/5,5/6) -> (9/2,14/3) Hyperbolic Matrix(71,-60,84,-71) (5/6,6/7) -> (5/6,6/7) Reflection Matrix(97,-84,112,-97) (6/7,7/8) -> (6/7,7/8) Reflection Matrix(205,-186,54,-49) (8/9,1/1) -> (34/9,19/5) Glide Reflection Matrix(85,-98,72,-83) (1/1,7/6) -> (7/6,13/11) Parabolic Matrix(505,-612,118,-143) (6/5,17/14) -> (17/4,30/7) Hyperbolic Matrix(163,-202,46,-57) (11/9,5/4) -> (7/2,25/7) Hyperbolic Matrix(413,-524,160,-203) (5/4,14/11) -> (18/7,31/12) Hyperbolic Matrix(297,-380,68,-87) (14/11,9/7) -> (13/3,22/5) Hyperbolic Matrix(191,-250,68,-89) (13/10,4/3) -> (14/5,17/6) Hyperbolic Matrix(89,-120,66,-89) (4/3,15/11) -> (4/3,15/11) Reflection Matrix(241,-330,176,-241) (15/11,11/8) -> (15/11,11/8) Reflection Matrix(163,-226,44,-61) (11/8,7/5) -> (11/3,15/4) Hyperbolic Matrix(453,-640,172,-243) (7/5,17/12) -> (21/8,29/11) Hyperbolic Matrix(301,-428,64,-91) (17/12,10/7) -> (14/3,19/4) Hyperbolic Matrix(31,-48,20,-31) (3/2,8/5) -> (3/2,8/5) Reflection Matrix(129,-208,80,-129) (8/5,13/8) -> (8/5,13/8) Reflection Matrix(12641,-20640,7742,-12641) (80/49,129/79) -> (80/49,129/79) Reflection Matrix(7741,-12642,4740,-7741) (129/79,49/30) -> (129/79,49/30) Reflection Matrix(571,-936,158,-259) (18/11,23/14) -> (18/5,29/8) Glide Reflection Matrix(137,-226,20,-33) (23/14,5/3) -> (13/2,7/1) Glide Reflection Matrix(367,-622,154,-261) (5/3,17/10) -> (19/8,31/13) Hyperbolic Matrix(221,-378,38,-65) (29/17,12/7) -> (17/3,6/1) Glide Reflection Matrix(169,-298,38,-67) (7/4,16/9) -> (22/5,9/2) Hyperbolic Matrix(701,-1250,392,-699) (16/9,25/14) -> (25/14,34/19) Parabolic Matrix(409,-734,112,-201) (34/19,9/5) -> (40/11,11/3) Glide Reflection Matrix(173,-322,36,-67) (13/7,2/1) -> (24/5,5/1) Hyperbolic Matrix(73,-162,32,-71) (2/1,9/4) -> (9/4,16/7) Parabolic Matrix(535,-1232,142,-327) (23/10,30/13) -> (15/4,34/9) Glide Reflection Matrix(141,-326,16,-37) (30/13,7/3) -> (8/1,9/1) Glide Reflection Matrix(637,-1520,246,-587) (31/13,12/5) -> (44/17,13/5) Hyperbolic Matrix(1799,-4650,696,-1799) (31/12,75/29) -> (31/12,75/29) Reflection Matrix(2551,-6600,986,-2551) (75/29,44/17) -> (75/29,44/17) Reflection Matrix(143,-378,14,-37) (37/14,8/3) -> (10/1,1/0) Hyperbolic Matrix(113,-304,42,-113) (8/3,19/7) -> (8/3,19/7) Reflection Matrix(153,-418,56,-153) (19/7,11/4) -> (19/7,11/4) Reflection Matrix(89,-248,14,-39) (11/4,14/5) -> (6/1,13/2) Hyperbolic Matrix(79,-260,24,-79) (13/4,10/3) -> (13/4,10/3) Reflection Matrix(41,-140,12,-41) (10/3,7/2) -> (10/3,7/2) Reflection Matrix(1463,-5246,408,-1463) (43/12,61/17) -> (43/12,61/17) Reflection Matrix(611,-2196,170,-611) (61/17,18/5) -> (61/17,18/5) Reflection Matrix(41,-168,10,-41) (4/1,21/5) -> (4/1,21/5) Reflection Matrix(169,-714,40,-169) (21/5,17/4) -> (21/5,17/4) Reflection Matrix(93,-400,10,-43) (30/7,13/3) -> (9/1,10/1) Hyperbolic Matrix(343,-1634,72,-343) (19/4,43/9) -> (19/4,43/9) Reflection Matrix(431,-2064,90,-431) (43/9,24/5) -> (43/9,24/5) Reflection Matrix(45,-242,8,-43) (5/1,11/2) -> (11/2,17/3) Parabolic Matrix(91,-690,12,-91) (15/2,23/3) -> (15/2,23/3) Reflection Matrix(47,-368,6,-47) (23/3,8/1) -> (23/3,8/1) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Matrix(-1,0,2,1) -> Matrix(-1,0,2,1) (-1/1,0/1) -> (-1/1,0/1) Matrix(113,-18,44,-7) -> Matrix(1,1,-4,-3) -1/2 Matrix(23,-4,132,-23) -> Matrix(5,3,-8,-5) (1/6,2/11) -> (-3/4,-1/2) Matrix(65,-12,352,-65) -> Matrix(3,1,-8,-3) (2/11,3/16) -> (-1/2,-1/4) Matrix(307,-58,524,-99) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(237,-50,128,-27) -> Matrix(1,1,-4,-3) -1/2 Matrix(213,-46,514,-111) -> Matrix(1,2,-2,-3) -1/1 Matrix(401,-92,170,-39) -> Matrix(3,5,-2,-3) (-2/1,-1/1).(-3/2,1/0) Matrix(233,-54,548,-127) -> Matrix(5,7,-8,-11) Matrix(169,-40,714,-169) -> Matrix(15,16,-14,-15) (4/17,5/21) -> (-8/7,-1/1) Matrix(41,-10,168,-41) -> Matrix(7,6,-8,-7) (5/21,1/4) -> (-1/1,-3/4) Matrix(61,-16,42,-11) -> Matrix(1,1,-2,-1) (-1/1,0/1).(-1/2,1/0) Matrix(61,-18,200,-59) -> Matrix(5,3,-12,-7) -1/2 Matrix(457,-142,634,-197) -> Matrix(3,1,-14,-5) Matrix(771,-242,634,-199) -> Matrix(3,1,-2,-1) Matrix(117,-38,40,-13) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(133,-48,230,-83) -> Matrix(1,1,-2,-1) (-1/1,0/1).(-1/2,1/0) Matrix(153,-56,418,-153) -> Matrix(3,4,-2,-3) (4/11,7/19) -> (-2/1,-1/1) Matrix(113,-42,304,-113) -> Matrix(7,6,-8,-7) (7/19,3/8) -> (-1/1,-3/4) Matrix(131,-50,76,-29) -> Matrix(1,1,-4,-3) -1/2 Matrix(241,-98,332,-135) -> Matrix(1,1,-8,-7) Matrix(479,-198,404,-167) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(367,-154,622,-261) -> Matrix(3,2,-2,-1) -1/1 Matrix(1591,-672,438,-185) -> Matrix(5,3,-2,-1) Matrix(3671,-1556,2154,-913) -> Matrix(15,11,-26,-19) Matrix(235,-102,182,-79) -> Matrix(5,3,2,1) Matrix(127,-56,288,-127) -> Matrix(17,9,-32,-17) (7/16,4/9) -> (-9/16,-1/2) Matrix(17,-8,36,-17) -> Matrix(1,1,0,-1) (4/9,1/2) -> (-1/2,1/0) Matrix(609,-326,170,-91) -> Matrix(3,2,-2,-1) -1/1 Matrix(1671,-902,980,-529) -> Matrix(7,3,-12,-5) -1/2 Matrix(269,-146,304,-165) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(217,-120,302,-167) -> Matrix(1,1,-6,-5) Matrix(1319,-736,500,-279) -> Matrix(9,5,-16,-9) *** -> (-5/8,-1/2) Matrix(951,-532,1700,-951) -> Matrix(29,15,-56,-29) (19/34,14/25) -> (-15/28,-1/2) Matrix(449,-252,800,-449) -> Matrix(15,7,-32,-15) (14/25,9/16) -> (-1/2,-7/16) Matrix(549,-310,232,-131) -> Matrix(13,5,-8,-3) Matrix(659,-382,954,-553) -> Matrix(1,2,-2,-3) -1/1 Matrix(905,-526,394,-229) -> Matrix(7,3,-2,-1) Matrix(999,-586,820,-481) -> Matrix(3,1,-4,-1) -1/2 Matrix(229,-136,32,-19) -> Matrix(1,0,0,1) Matrix(81,-50,128,-79) -> Matrix(5,3,-12,-7) -1/2 Matrix(413,-264,158,-101) -> Matrix(5,2,-2,-1) Matrix(807,-520,284,-183) -> Matrix(3,1,-8,-3) *** -> (-1/2,-1/4) Matrix(2321,-1500,1422,-919) -> Matrix(23,7,-10,-3) Matrix(125,-82,32,-21) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(787,-540,462,-317) -> Matrix(1,3,-2,-5) Matrix(1709,-1178,1046,-721) -> Matrix(11,9,-6,-5) Matrix(199,-138,62,-43) -> Matrix(5,3,2,1) Matrix(167,-118,92,-65) -> Matrix(3,1,-4,-1) -1/2 Matrix(935,-676,574,-415) -> Matrix(13,2,-6,-1) Matrix(241,-176,330,-241) -> Matrix(-1,0,14,1) (8/11,11/15) -> (-1/7,0/1) Matrix(89,-66,120,-89) -> Matrix(1,0,0,-1) (11/15,3/4) -> (0/1,1/0) Matrix(73,-56,30,-23) -> Matrix(1,1,-2,-1) (-1/1,0/1).(-1/2,1/0) Matrix(129,-106,28,-23) -> Matrix(1,1,0,1) 1/0 Matrix(71,-60,84,-71) -> Matrix(1,1,0,-1) (5/6,6/7) -> (-1/2,1/0) Matrix(97,-84,112,-97) -> Matrix(3,1,-8,-3) (6/7,7/8) -> (-1/2,-1/4) Matrix(205,-186,54,-49) -> Matrix(3,1,-2,-1) Matrix(85,-98,72,-83) -> Matrix(1,-1,0,1) 1/0 Matrix(505,-612,118,-143) -> Matrix(1,1,2,3) Matrix(163,-202,46,-57) -> Matrix(3,2,-2,-1) -1/1 Matrix(413,-524,160,-203) -> Matrix(1,0,-4,1) 0/1 Matrix(297,-380,68,-87) -> Matrix(1,0,0,1) Matrix(191,-250,68,-89) -> Matrix(1,1,0,1) 1/0 Matrix(89,-120,66,-89) -> Matrix(-1,0,6,1) (4/3,15/11) -> (-1/3,0/1) Matrix(241,-330,176,-241) -> Matrix(1,0,16,-1) (15/11,11/8) -> (0/1,1/8) Matrix(163,-226,44,-61) -> Matrix(5,-1,-4,1) Matrix(453,-640,172,-243) -> Matrix(3,-2,-4,3) Matrix(301,-428,64,-91) -> Matrix(1,0,0,1) Matrix(31,-48,20,-31) -> Matrix(-1,1,0,1) (3/2,8/5) -> (1/2,1/0) Matrix(129,-208,80,-129) -> Matrix(1,5,0,-1) (8/5,13/8) -> (-5/2,1/0) Matrix(12641,-20640,7742,-12641) -> Matrix(53,108,-26,-53) (80/49,129/79) -> (-27/13,-2/1) Matrix(7741,-12642,4740,-7741) -> Matrix(39,76,-20,-39) (129/79,49/30) -> (-2/1,-19/10) Matrix(571,-936,158,-259) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(137,-226,20,-33) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(367,-622,154,-261) -> Matrix(7,6,-6,-5) -1/1 Matrix(221,-378,38,-65) -> Matrix(7,3,-2,-1) Matrix(169,-298,38,-67) -> Matrix(1,0,2,1) 0/1 Matrix(701,-1250,392,-699) -> Matrix(1,-1,0,1) 1/0 Matrix(409,-734,112,-201) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(173,-322,36,-67) -> Matrix(5,1,4,1) Matrix(73,-162,32,-71) -> Matrix(1,-5,0,1) 1/0 Matrix(535,-1232,142,-327) -> Matrix(1,2,-2,-5) Matrix(141,-326,16,-37) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(637,-1520,246,-587) -> Matrix(1,1,6,7) Matrix(1799,-4650,696,-1799) -> Matrix(-1,0,16,1) (31/12,75/29) -> (-1/8,0/1) Matrix(2551,-6600,986,-2551) -> Matrix(1,0,18,-1) (75/29,44/17) -> (0/1,1/9) Matrix(143,-378,14,-37) -> Matrix(5,2,2,1) Matrix(113,-304,42,-113) -> Matrix(-1,0,6,1) (8/3,19/7) -> (-1/3,0/1) Matrix(153,-418,56,-153) -> Matrix(1,0,8,-1) (19/7,11/4) -> (0/1,1/4) Matrix(89,-248,14,-39) -> Matrix(3,-1,-2,1) Matrix(79,-260,24,-79) -> Matrix(-1,9,0,1) (13/4,10/3) -> (9/2,1/0) Matrix(41,-140,12,-41) -> Matrix(1,5,0,-1) (10/3,7/2) -> (-5/2,1/0) Matrix(1463,-5246,408,-1463) -> Matrix(1,4,0,-1) (43/12,61/17) -> (-2/1,1/0) Matrix(611,-2196,170,-611) -> Matrix(3,4,-2,-3) (61/17,18/5) -> (-2/1,-1/1) Matrix(41,-168,10,-41) -> Matrix(-1,0,2,1) (4/1,21/5) -> (-1/1,0/1) Matrix(169,-714,40,-169) -> Matrix(1,0,8,-1) (21/5,17/4) -> (0/1,1/4) Matrix(93,-400,10,-43) -> Matrix(1,-1,2,-1) (0/1,1/1).(1/2,1/0) Matrix(343,-1634,72,-343) -> Matrix(7,-6,8,-7) (19/4,43/9) -> (3/4,1/1) Matrix(431,-2064,90,-431) -> Matrix(11,-12,10,-11) (43/9,24/5) -> (1/1,6/5) Matrix(45,-242,8,-43) -> Matrix(1,-9,0,1) 1/0 Matrix(91,-690,12,-91) -> Matrix(-1,0,4,1) (15/2,23/3) -> (-1/2,0/1) Matrix(47,-368,6,-47) -> Matrix(1,0,2,-1) (23/3,8/1) -> (0/1,1/1) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.