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): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 120 Genus: 133 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -6/13 -11/25 -3/7 -5/12 -9/23 -4/11 -1/3 -3/10 -5/19 -2/9 -1/5 -1/7 -1/8 0/1 1/7 1/6 5/23 3/11 1/3 2/5 1/2 5/9 3/5 8/13 11/17 5/7 3/4 16/19 13/15 1/1 8/7 15/13 19/16 11/9 9/7 4/3 7/5 33/23 3/2 17/11 11/7 43/27 13/8 5/3 22/13 179/101 9/5 13/7 2/1 19/9 24/11 11/5 29/13 25/11 39/17 7/3 59/25 17/7 5/2 141/55 13/5 81/31 71/27 41/15 31/11 3/1 85/27 16/5 171/53 43/13 10/3 27/8 17/5 65/19 7/2 131/37 25/7 219/61 11/3 19/5 4/1 113/27 21/5 17/4 13/3 57/13 22/5 9/2 23/5 14/3 33/7 5/1 47/9 21/4 16/3 27/5 11/2 17/3 23/4 6/1 19/3 13/2 20/3 7/1 22/3 15/2 23/3 31/4 39/5 8/1 25/3 17/2 9/1 19/2 10/1 21/2 32/3 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 0/1 1/3 -8/17 1/2 -7/15 0/1 -13/28 0/1 1/1 -6/13 0/1 -11/24 2/7 1/3 -5/11 0/1 -14/31 3/10 -9/20 1/3 2/5 -13/29 1/2 -17/38 0/1 -21/47 0/1 -4/9 1/4 -19/43 1/2 -15/34 0/1 1/1 -11/25 0/1 -18/41 1/6 -25/57 0/1 -7/16 1/5 1/4 -10/23 1/0 -23/53 0/1 -13/30 1/6 1/5 -29/67 0/1 -16/37 1/4 -19/44 1/5 2/9 -3/7 1/3 -14/33 1/2 -25/59 2/1 -11/26 -1/1 0/1 -8/19 1/4 -21/50 1/3 1/2 -13/31 2/3 -5/12 0/1 -17/41 0/1 -29/70 4/21 1/5 -12/29 1/4 -7/17 0/1 -16/39 1/6 -9/22 1/5 2/9 -11/27 1/4 -13/32 2/7 1/3 -2/5 1/2 -13/33 1/1 -24/61 1/2 -11/28 -1/1 1/0 -9/23 0/1 -25/64 1/10 1/9 -16/41 1/6 -7/18 0/1 1/5 -12/31 1/6 -5/13 1/4 -13/34 1/4 -8/21 3/10 -11/29 4/13 -25/66 11/35 6/19 -39/103 6/19 -14/37 9/28 -3/8 1/3 2/5 -16/43 1/2 -13/35 2/5 -10/27 1/2 -7/19 1/1 -18/49 -1/2 -11/30 0/1 1/1 -4/11 0/1 -13/36 0/1 1/7 -9/25 0/1 -23/64 4/23 3/17 -37/103 2/11 -14/39 5/26 -5/14 3/13 1/4 -11/31 3/11 -6/17 1/4 -19/54 2/7 -13/37 3/10 -7/20 6/19 1/3 -8/23 7/20 -1/3 0/1 -8/25 3/10 -7/22 8/25 1/3 -6/19 7/20 -11/35 3/8 -16/51 3/8 -5/16 1/3 2/5 -14/45 1/2 -23/74 1/3 2/5 -9/29 3/7 -4/13 1/2 -11/36 1/1 2/1 -29/95 0/1 -18/59 1/0 -7/23 0/1 -10/33 1/0 -3/10 0/1 -8/27 1/4 -13/44 0/1 1/7 -5/17 1/5 -7/24 3/13 1/4 -16/55 1/4 -9/31 4/15 -11/38 1/4 3/11 -13/45 1/4 -2/7 3/10 -9/32 1/3 14/41 -16/57 7/20 -7/25 6/17 -5/18 5/13 2/5 -8/29 2/5 -3/11 1/2 -7/26 0/1 1/1 -4/15 1/2 -13/49 1/1 -22/83 1/4 -9/34 0/1 1/3 -5/19 0/1 -11/42 0/1 1/5 -6/23 1/4 -13/50 0/1 1/3 -7/27 1/3 -1/4 1/4 1/3 -6/25 5/14 -11/46 4/11 -5/21 3/8 -4/17 1/2 -7/30 5/13 2/5 -10/43 5/12 -3/13 2/5 -5/22 1/2 1/1 -17/75 2/7 -12/53 5/14 -19/84 1/3 3/8 -7/31 2/5 -2/9 1/2 -5/23 2/5 -8/37 1/2 -3/14 0/1 1/1 -4/19 1/6 -9/43 2/7 -5/24 0/1 1/3 -1/5 1/3 -6/31 13/34 -5/26 2/5 -9/47 2/5 -4/21 3/8 -7/37 2/5 -10/53 19/48 -3/16 2/5 7/17 -2/11 1/2 -9/50 8/19 3/7 -7/39 4/9 -5/28 5/11 6/13 -3/17 1/2 -4/23 1/2 -5/29 1/2 -6/35 1/2 -1/6 0/1 1/1 -5/31 0/1 -4/25 0/1 -7/44 0/1 1/5 -3/19 1/4 -2/13 3/10 -3/20 1/3 7/20 -1/7 2/5 -2/15 7/16 -1/8 1/2 -2/17 3/4 -3/26 1/1 4/3 -1/9 0/1 -1/10 1/4 1/3 0/1 1/2 1/10 2/3 1/1 1/9 2/3 1/8 1/1 1/0 4/31 0/1 3/23 0/1 2/15 1/2 3/22 0/1 1/3 4/29 3/4 1/7 0/1 2/13 3/8 1/6 1/2 3/17 5/9 5/28 5/9 4/7 2/11 7/12 3/16 3/5 2/3 4/21 9/14 1/5 2/3 4/19 3/4 7/33 4/5 3/14 7/8 1/1 5/23 1/1 7/32 1/1 13/12 2/9 3/2 3/13 1/0 4/17 0/1 5/21 0/1 1/4 0/1 1/3 5/19 1/2 4/15 1/2 3/11 1/2 8/29 1/2 13/47 5/9 5/18 6/11 5/9 12/43 1/2 7/25 4/7 2/7 1/2 5/17 2/3 13/44 3/5 2/3 34/115 1/2 21/71 3/5 8/27 2/3 3/10 7/11 2/3 7/23 2/3 18/59 2/3 11/36 7/10 5/7 4/13 3/4 9/29 2/3 5/16 2/3 6/19 13/18 1/3 1/1 8/23 7/2 15/43 8/1 7/20 -5/1 1/0 6/17 1/0 11/31 0/1 5/14 0/1 1/1 9/25 2/1 13/36 1/0 4/11 -1/2 7/19 0/1 3/8 0/1 1/3 8/21 1/2 21/55 1/3 13/34 7/15 1/2 5/13 2/3 12/31 1/2 31/80 0/1 1/1 19/49 1/1 7/18 0/1 1/3 2/5 1/2 9/22 2/3 1/1 34/83 3/4 25/61 2/3 16/39 1/2 7/17 2/3 12/29 5/6 5/12 1/3 1/2 13/31 1/1 21/50 2/5 3/7 8/19 1/2 3/7 2/3 7/16 2/3 5/7 11/25 5/7 15/34 3/4 4/9 1/2 13/29 2/3 9/20 3/4 1/1 14/31 5/6 5/11 3/4 6/13 5/6 1/2 1/1 1/0 7/13 1/1 13/24 0/1 1/1 6/11 1/0 5/9 0/1 14/25 1/2 37/66 1/4 1/3 23/41 0/1 9/16 0/1 1/1 4/7 1/2 15/26 -1/3 0/1 11/19 0/1 29/50 0/1 1/3 18/31 0/1 7/12 0/1 1/3 31/53 1/3 24/41 3/8 41/70 1/3 2/5 17/29 2/5 10/17 1/2 23/39 0/1 59/100 1/3 1/2 36/61 3/8 13/22 1/2 3/5 1/2 14/23 3/4 11/18 1/3 1/2 30/49 1/2 19/31 2/3 27/44 3/5 8/13 8/13 2/3 37/60 0/1 1/1 29/47 1/1 21/34 2/3 1/1 34/55 3/4 47/76 3/5 2/3 13/21 2/3 31/50 1/1 2/1 18/29 1/2 5/8 2/3 5/7 12/19 5/6 31/49 4/5 19/30 4/5 7/11 6/7 23/36 7/8 1/1 16/25 7/8 25/39 10/11 9/14 14/15 1/1 11/17 1/1 13/20 1/1 20/19 2/3 3/2 11/16 3/1 1/0 20/29 2/1 29/42 1/1 2/1 9/13 4/1 7/10 -3/1 1/0 19/27 0/1 12/17 1/0 29/41 1/0 17/24 -5/1 -4/1 39/55 -2/1 22/31 1/0 27/38 -3/1 1/0 32/45 -2/1 5/7 -1/1 13/18 -1/3 0/1 21/29 0/1 29/40 2/3 1/1 37/51 1/0 8/11 1/0 19/26 -1/1 0/1 11/15 0/1 3/4 0/1 13/17 0/1 36/47 1/4 23/30 1/4 1/3 10/13 1/4 27/35 2/7 17/22 1/3 3/8 24/31 1/2 31/40 4/7 3/5 7/9 0/1 25/32 0/1 1/3 18/23 1/4 47/60 -1/1 0/1 29/37 0/1 11/14 2/7 1/3 37/47 1/3 26/33 7/20 41/52 1/3 4/11 15/19 2/5 4/5 1/2 17/21 8/15 13/16 1/2 5/9 9/11 3/5 5/6 2/3 1/1 21/25 2/3 37/44 5/7 8/11 16/19 3/4 27/32 3/4 1/1 38/45 3/4 11/13 3/4 6/7 7/8 13/15 1/1 20/23 23/22 7/8 1/1 8/7 1/1 0/1 9/8 5/7 3/4 8/7 7/8 15/13 1/1 22/19 19/18 7/6 1/1 6/5 13/11 3/2 32/27 3/2 51/43 2/1 19/16 2/1 44/37 1/2 25/21 2/1 6/5 1/0 17/14 1/1 2/1 28/23 3/2 67/55 2/1 39/32 8/3 3/1 11/9 3/1 27/22 1/0 43/35 4/1 16/13 1/0 21/17 6/1 26/21 1/0 5/4 -3/1 1/0 14/11 -5/6 51/40 -2/3 37/29 -2/3 97/76 -13/19 -2/3 157/123 -2/3 60/47 -9/14 83/65 -3/5 23/18 -3/5 -4/7 55/43 -1/2 32/25 -1/2 73/57 -2/5 41/32 -3/8 -1/3 9/7 0/1 40/31 -1/2 31/24 -1/1 0/1 53/41 0/1 22/17 1/0 35/27 -2/3 13/10 -1/3 0/1 4/3 0/1 19/14 0/1 1/3 53/39 1/3 34/25 1/4 83/61 1/4 49/36 1/4 1/3 113/83 1/3 64/47 1/2 15/11 0/1 11/8 0/1 1/3 51/37 1/4 40/29 3/8 29/21 0/1 47/34 -1/3 0/1 65/47 0/1 18/13 1/6 25/18 2/9 3/13 32/23 1/4 39/28 3/11 2/7 46/33 3/10 7/5 1/3 38/27 1/2 31/22 1/3 1/2 86/61 1/2 55/39 0/1 24/17 1/2 65/46 1/3 2/5 41/29 2/5 17/12 3/7 1/2 44/31 1/4 71/50 1/3 5/14 27/19 2/5 10/7 1/2 33/23 1/2 56/39 1/2 23/16 1/2 9/17 13/9 2/3 42/29 1/4 29/20 1/2 45/31 1/1 16/11 1/2 35/24 1/2 1/1 19/13 1/2 3/2 2/3 1/1 17/11 1/1 31/20 1/1 20/19 14/9 9/8 25/16 6/5 11/9 61/39 9/7 158/101 4/3 97/62 1/1 5/4 133/85 4/3 36/23 5/4 47/30 4/3 11/7 4/3 30/19 3/2 49/31 2/1 68/43 3/2 19/12 5/3 2/1 27/17 1/1 62/39 1/0 97/61 2/1 35/22 1/1 2/1 43/27 2/1 8/5 3/2 29/18 7/3 5/2 50/31 23/8 21/13 4/1 97/60 11/3 4/1 173/107 4/1 76/47 9/2 131/81 5/1 55/34 5/1 6/1 89/55 4/1 34/21 1/0 81/50 4/1 5/1 47/29 5/1 13/8 1/0 57/35 -3/1 101/62 -7/3 -2/1 44/27 -3/2 31/19 0/1 18/11 1/0 41/25 -2/1 23/14 -1/1 0/1 5/3 1/0 22/13 0/1 83/49 1/1 61/36 2/3 1/1 100/59 1/0 39/23 0/1 56/33 1/0 17/10 -3/1 1/0 12/7 -1/2 31/18 0/1 50/29 -1/2 19/11 0/1 45/26 -1/7 0/1 26/15 1/4 7/4 -1/1 0/1 23/13 -1/3 62/35 -1/6 101/57 0/1 140/79 -1/12 179/101 0/1 39/22 -1/1 0/1 55/31 0/1 16/9 -1/2 9/5 0/1 20/11 1/8 71/39 4/23 51/28 4/21 1/5 31/17 0/1 11/6 1/5 1/4 35/19 2/5 59/32 0/1 24/13 1/2 61/33 0/1 37/20 0/1 1/3 13/7 1/3 15/8 0/1 1/3 17/9 0/1 2/1 1/2 19/9 1/1 17/8 1/1 8/7 15/7 4/3 13/6 1/1 2/1 50/23 1/0 37/17 4/3 61/28 5/3 12/7 85/39 5/3 24/11 2/1 11/5 1/0 31/14 3/1 4/1 20/9 1/0 49/22 8/1 9/1 29/13 1/0 67/30 -14/1 -13/1 38/17 1/0 9/4 -2/1 -1/1 34/15 0/1 25/11 -1/1 41/18 -1/1 -1/2 98/43 -1/2 57/25 0/1 16/7 -1/2 39/17 0/1 62/27 1/8 23/10 0/1 1/3 7/3 0/1 47/20 0/1 1/1 40/17 1/2 33/14 3/4 1/1 59/25 1/1 85/36 1/1 9/8 26/11 3/2 19/8 -1/1 1/0 69/29 0/1 119/50 0/1 1/1 50/21 1/0 81/34 1/1 1/0 274/115 1/0 193/81 0/1 112/47 1/0 31/13 1/1 12/5 1/0 53/22 -2/1 -1/1 94/39 -2/1 135/56 -12/7 -5/3 41/17 -4/3 29/12 -1/1 -4/5 75/31 -2/3 121/50 -1/1 -1/2 46/19 -1/2 17/7 0/1 5/2 0/1 23/9 0/1 64/25 1/4 41/16 0/1 1/3 141/55 1/3 100/39 1/2 59/23 0/1 77/30 0/1 1/1 18/7 1/2 49/19 1/5 129/50 2/9 3/13 80/31 1/4 31/12 3/11 2/7 13/5 2/5 47/18 11/23 1/2 81/31 1/2 115/44 1/2 27/53 34/13 1/2 55/21 3/5 76/29 2/3 21/8 1/2 1/1 71/27 2/3 121/46 2/3 1/1 50/19 3/4 29/11 1/2 8/3 1/0 27/10 -1/1 0/1 19/7 0/1 30/11 -1/6 41/15 0/1 52/19 1/16 11/4 0/1 1/5 25/9 2/7 64/23 11/34 39/14 1/3 7/20 14/5 1/2 31/11 1/2 17/6 0/1 1/1 37/13 2/5 20/7 1/2 3/1 1/1 22/7 1/0 85/27 1/0 63/20 -19/1 1/0 41/13 -6/1 19/6 -2/1 -1/1 35/11 0/1 51/16 0/1 1/1 16/5 1/0 61/19 1/0 45/14 -1/1 1/0 29/9 0/1 100/31 -1/2 171/53 0/1 71/22 0/1 1/1 42/13 1/0 13/4 -1/1 -1/2 49/15 0/1 36/11 -1/2 23/7 0/1 33/10 -1/9 0/1 43/13 0/1 53/16 0/1 1/17 10/3 1/4 27/8 1/2 98/29 9/16 71/21 3/5 115/34 3/5 2/3 159/47 2/3 44/13 1/2 61/18 4/7 3/5 78/23 5/8 17/5 2/3 58/17 5/6 41/12 11/12 1/1 65/19 1/1 89/26 1/1 25/24 24/7 7/6 7/2 -1/1 1/0 46/13 1/0 131/37 1/0 216/61 1/0 85/24 -1/1 1/0 39/11 0/1 32/9 -3/2 25/7 0/1 68/19 1/0 111/31 0/1 154/43 1/0 197/55 -1/1 43/12 -1/1 0/1 61/17 0/1 140/39 -1/4 219/61 0/1 79/22 0/1 1/1 97/27 -1/1 18/5 -1/2 11/3 0/1 26/7 1/4 67/18 5/21 1/4 175/47 8/31 108/29 7/26 41/11 1/3 15/4 0/1 1/3 34/9 3/10 19/5 1/2 61/16 0/1 42/11 1/2 65/17 0/1 23/6 1/3 1/2 4/1 1/0 25/6 0/1 1/1 46/11 1/2 113/27 1/1 67/16 1/1 1/0 21/5 0/1 38/9 1/2 55/13 1/1 17/4 0/1 81/19 1/5 64/15 1/6 111/26 2/9 3/13 47/11 2/7 77/18 1/2 1/1 30/7 1/4 13/3 1/2 35/8 3/7 4/9 92/21 1/2 57/13 1/2 22/5 1/2 9/2 2/3 1/1 23/5 1/1 37/8 1/1 8/7 14/3 3/2 61/13 2/1 169/36 5/3 2/1 277/59 2/1 108/23 1/0 47/10 1/1 2/1 33/7 2/1 19/4 2/1 3/1 43/9 3/1 67/14 5/1 6/1 24/5 1/0 5/1 0/1 26/5 -1/4 47/9 0/1 21/4 0/1 1/5 16/3 1/2 27/5 1/2 11/2 1/1 2/1 28/5 1/2 45/8 1/2 1/1 17/3 1/1 23/4 -1/1 1/0 6/1 0/1 25/4 1/2 1/1 19/3 2/3 13/2 0/1 1/3 20/3 3/2 67/10 2/1 47/7 4/1 121/18 17/1 1/0 195/29 1/0 74/11 1/0 27/4 -1/1 0/1 7/1 0/1 29/4 1/1 4/3 51/7 4/1 22/3 -1/2 15/2 1/2 1/1 23/3 0/1 31/4 0/1 70/9 1/2 39/5 1/3 8/1 1/2 25/3 1/1 17/2 1/1 2/1 9/1 0/1 19/2 0/1 10/1 1/0 21/2 2/3 1/1 32/3 0/1 11/1 1/1 1/0 0/1 1/1 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(745,352,1272,601) (-1/2,-8/17) -> (24/41,41/70) Hyperbolic Matrix(1373,644,420,197) (-8/17,-7/15) -> (49/15,36/11) Hyperbolic Matrix(1467,682,-3874,-1801) (-7/15,-13/28) -> (-25/66,-39/103) Hyperbolic Matrix(937,434,1358,629) (-13/28,-6/13) -> (20/29,29/42) Hyperbolic Matrix(933,428,412,189) (-6/13,-11/24) -> (9/4,34/15) Hyperbolic Matrix(823,376,1136,519) (-11/24,-5/11) -> (21/29,29/40) Hyperbolic Matrix(1327,600,1024,463) (-5/11,-14/31) -> (22/17,35/27) Hyperbolic Matrix(1427,644,308,139) (-14/31,-9/20) -> (37/8,14/3) Hyperbolic Matrix(1119,502,506,227) (-9/20,-13/29) -> (11/5,31/14) Hyperbolic Matrix(509,228,-2132,-955) (-13/29,-17/38) -> (-11/46,-5/21) Hyperbolic Matrix(2331,1042,302,135) (-17/38,-21/47) -> (23/3,31/4) Hyperbolic Matrix(1823,814,4450,1987) (-21/47,-4/9) -> (34/83,25/61) Hyperbolic Matrix(203,90,-706,-313) (-4/9,-19/43) -> (-13/45,-2/7) Hyperbolic Matrix(2207,974,1602,707) (-19/43,-15/34) -> (11/8,51/37) Hyperbolic Matrix(499,220,1404,619) (-15/34,-11/25) -> (11/31,5/14) Hyperbolic Matrix(601,264,1696,745) (-11/25,-18/41) -> (6/17,11/31) Hyperbolic Matrix(4591,2014,1794,787) (-18/41,-25/57) -> (23/9,64/25) Hyperbolic Matrix(1195,524,-5284,-2317) (-25/57,-7/16) -> (-19/84,-7/31) Hyperbolic Matrix(795,346,494,215) (-7/16,-10/23) -> (8/5,29/18) Hyperbolic Matrix(691,300,-3660,-1589) (-10/23,-23/53) -> (-7/37,-10/53) Hyperbolic Matrix(1485,644,196,85) (-23/53,-13/30) -> (15/2,23/3) Hyperbolic Matrix(4937,2138,3854,1669) (-13/30,-29/67) -> (73/57,41/32) Hyperbolic Matrix(7797,3374,5530,2393) (-29/67,-16/37) -> (86/61,55/39) Hyperbolic Matrix(2073,896,2464,1065) (-16/37,-19/44) -> (37/44,16/19) Hyperbolic Matrix(2361,1018,494,213) (-19/44,-3/7) -> (43/9,67/14) Hyperbolic Matrix(485,206,1754,745) (-3/7,-14/33) -> (8/29,13/47) Hyperbolic Matrix(3983,1688,1168,495) (-14/33,-25/59) -> (17/5,58/17) Hyperbolic Matrix(1945,824,2816,1193) (-25/59,-11/26) -> (29/42,9/13) Hyperbolic Matrix(389,164,676,285) (-11/26,-8/19) -> (4/7,15/26) Hyperbolic Matrix(871,366,1930,811) (-8/19,-21/50) -> (9/20,14/31) Hyperbolic Matrix(1253,526,1546,649) (-21/50,-13/31) -> (17/21,13/16) Hyperbolic Matrix(673,282,1062,445) (-13/31,-5/12) -> (19/30,7/11) Hyperbolic Matrix(1151,478,1818,755) (-5/12,-17/41) -> (31/49,19/30) Hyperbolic Matrix(859,356,-4780,-1981) (-17/41,-29/70) -> (-9/50,-7/39) Hyperbolic Matrix(763,316,-2388,-989) (-29/70,-12/29) -> (-8/25,-7/22) Hyperbolic Matrix(953,394,670,277) (-12/29,-7/17) -> (27/19,10/7) Hyperbolic Matrix(287,118,-1238,-509) (-7/17,-16/39) -> (-10/43,-3/13) Hyperbolic Matrix(1045,428,188,77) (-16/39,-9/22) -> (11/2,28/5) Hyperbolic Matrix(1231,502,282,115) (-9/22,-11/27) -> (13/3,35/8) Hyperbolic Matrix(285,116,-1796,-731) (-11/27,-13/32) -> (-7/44,-3/19) Hyperbolic Matrix(1037,420,1316,533) (-13/32,-2/5) -> (26/33,41/52) Hyperbolic Matrix(1387,548,1020,403) (-2/5,-13/33) -> (53/39,34/25) Hyperbolic Matrix(2403,946,8126,3199) (-13/33,-24/61) -> (34/115,21/71) Hyperbolic Matrix(5537,2178,1294,509) (-24/61,-11/28) -> (77/18,30/7) Hyperbolic Matrix(827,324,-2116,-829) (-11/28,-9/23) -> (-9/23,-25/64) Parabolic Matrix(2023,790,274,107) (-25/64,-16/41) -> (22/3,15/2) Hyperbolic Matrix(457,178,-1466,-571) (-16/41,-7/18) -> (-5/16,-14/45) Hyperbolic Matrix(733,284,1004,389) (-7/18,-12/31) -> (8/11,19/26) Hyperbolic Matrix(275,106,454,175) (-12/31,-5/13) -> (3/5,14/23) Hyperbolic Matrix(271,104,456,175) (-5/13,-13/34) -> (13/22,3/5) Hyperbolic Matrix(907,346,270,103) (-13/34,-8/21) -> (10/3,27/8) Hyperbolic Matrix(453,172,1172,445) (-8/21,-11/29) -> (5/13,12/31) Hyperbolic Matrix(3067,1162,4326,1639) (-11/29,-25/66) -> (17/24,39/55) Hyperbolic Matrix(449,170,3246,1229) (-39/103,-14/37) -> (4/29,1/7) Hyperbolic Matrix(1259,476,812,307) (-14/37,-3/8) -> (31/20,14/9) Hyperbolic Matrix(91,34,-538,-201) (-3/8,-16/43) -> (-6/35,-1/6) Hyperbolic Matrix(2409,896,1960,729) (-16/43,-13/35) -> (43/35,16/13) Hyperbolic Matrix(803,298,-2762,-1025) (-13/35,-10/27) -> (-16/55,-9/31) Hyperbolic Matrix(1065,394,446,165) (-10/27,-7/19) -> (31/13,12/5) Hyperbolic Matrix(2743,1008,1064,391) (-7/19,-18/49) -> (18/7,49/19) Hyperbolic Matrix(267,98,1414,519) (-18/49,-11/30) -> (3/16,4/21) Hyperbolic Matrix(617,226,1062,389) (-11/30,-4/11) -> (18/31,7/12) Hyperbolic Matrix(967,350,1666,603) (-4/11,-13/36) -> (29/50,18/31) Hyperbolic Matrix(1663,600,352,127) (-13/36,-9/25) -> (33/7,19/4) Hyperbolic Matrix(1223,440,1576,567) (-9/25,-23/64) -> (31/40,7/9) Hyperbolic Matrix(8305,2984,6816,2449) (-23/64,-37/103) -> (67/55,39/32) Hyperbolic Matrix(5507,1978,4630,1663) (-37/103,-14/39) -> (44/37,25/21) Hyperbolic Matrix(1831,656,1136,407) (-14/39,-5/14) -> (29/18,50/31) Hyperbolic Matrix(697,248,1824,649) (-5/14,-11/31) -> (21/55,13/34) Hyperbolic Matrix(345,122,-1298,-459) (-11/31,-6/17) -> (-4/15,-13/49) Hyperbolic Matrix(863,304,88,31) (-6/17,-19/54) -> (19/2,10/1) Hyperbolic Matrix(3283,1154,862,303) (-19/54,-13/37) -> (19/5,61/16) Hyperbolic Matrix(1813,636,2500,877) (-13/37,-7/20) -> (29/40,37/51) Hyperbolic Matrix(601,210,518,181) (-7/20,-8/23) -> (22/19,7/6) Hyperbolic Matrix(427,148,-1884,-653) (-8/23,-1/3) -> (-17/75,-12/53) Hyperbolic Matrix(1075,346,494,159) (-1/3,-8/25) -> (50/23,37/17) Hyperbolic Matrix(573,182,658,209) (-7/22,-6/19) -> (20/23,7/8) Hyperbolic Matrix(2369,746,1718,541) (-6/19,-11/35) -> (51/37,40/29) Hyperbolic Matrix(3671,1152,1144,359) (-11/35,-16/51) -> (16/5,61/19) Hyperbolic Matrix(2857,896,896,281) (-16/51,-5/16) -> (51/16,16/5) Hyperbolic Matrix(4797,1492,1868,581) (-14/45,-23/74) -> (77/30,18/7) Hyperbolic Matrix(7147,2220,4388,1363) (-23/74,-9/29) -> (57/35,101/62) Hyperbolic Matrix(1701,526,650,201) (-9/29,-4/13) -> (34/13,55/21) Hyperbolic Matrix(1051,322,1694,519) (-4/13,-11/36) -> (31/50,18/29) Hyperbolic Matrix(4271,1304,5080,1551) (-11/36,-29/95) -> (21/25,37/44) Hyperbolic Matrix(11849,3616,6688,2041) (-29/95,-18/59) -> (62/35,101/57) Hyperbolic Matrix(1451,442,1126,343) (-18/59,-7/23) -> (9/7,40/31) Hyperbolic Matrix(323,98,1526,463) (-7/23,-10/33) -> (4/19,7/33) Hyperbolic Matrix(1523,460,884,267) (-10/33,-3/10) -> (31/18,50/29) Hyperbolic Matrix(957,284,556,165) (-3/10,-8/27) -> (12/7,31/18) Hyperbolic Matrix(1271,376,240,71) (-8/27,-13/44) -> (21/4,16/3) Hyperbolic Matrix(955,282,2462,727) (-13/44,-5/17) -> (19/49,7/18) Hyperbolic Matrix(397,116,948,277) (-5/17,-7/24) -> (5/12,13/31) Hyperbolic Matrix(2609,760,1816,529) (-7/24,-16/55) -> (56/39,23/16) Hyperbolic Matrix(1497,434,238,69) (-9/31,-11/38) -> (25/4,19/3) Hyperbolic Matrix(5359,1550,3938,1139) (-11/38,-13/45) -> (83/61,49/36) Hyperbolic Matrix(155,44,236,67) (-2/7,-9/32) -> (13/20,2/3) Hyperbolic Matrix(235,66,-2026,-569) (-9/32,-16/57) -> (-2/17,-3/26) Hyperbolic Matrix(3735,1048,2648,743) (-16/57,-7/25) -> (55/39,24/17) Hyperbolic Matrix(1009,282,390,109) (-7/25,-5/18) -> (31/12,13/5) Hyperbolic Matrix(231,64,776,215) (-5/18,-8/29) -> (8/27,3/10) Hyperbolic Matrix(387,106,230,63) (-8/29,-3/11) -> (5/3,22/13) Hyperbolic Matrix(383,104,232,63) (-3/11,-7/26) -> (23/14,5/3) Hyperbolic Matrix(613,164,228,61) (-7/26,-4/15) -> (8/3,27/10) Hyperbolic Matrix(9829,2606,7698,2041) (-13/49,-22/83) -> (60/47,83/65) Hyperbolic Matrix(1903,504,4648,1231) (-22/83,-9/34) -> (9/22,34/83) Hyperbolic Matrix(379,100,-1444,-381) (-9/34,-5/19) -> (-5/19,-11/42) Parabolic Matrix(153,40,1136,297) (-11/42,-6/23) -> (2/15,3/22) Hyperbolic Matrix(2799,728,1288,335) (-6/23,-13/50) -> (13/6,50/23) Hyperbolic Matrix(6655,1728,1968,511) (-13/50,-7/27) -> (71/21,115/34) Hyperbolic Matrix(1283,332,228,59) (-7/27,-1/4) -> (45/8,17/3) Hyperbolic Matrix(1257,304,368,89) (-1/4,-6/25) -> (58/17,41/12) Hyperbolic Matrix(2579,618,1398,335) (-6/25,-11/46) -> (59/32,24/13) Hyperbolic Matrix(1543,366,586,139) (-5/21,-4/17) -> (50/19,29/11) Hyperbolic Matrix(145,34,806,189) (-4/17,-7/30) -> (5/28,2/11) Hyperbolic Matrix(2849,664,1240,289) (-7/30,-10/43) -> (62/27,23/10) Hyperbolic Matrix(509,116,724,165) (-3/13,-5/22) -> (7/10,19/27) Hyperbolic Matrix(6809,1544,1592,361) (-5/22,-17/75) -> (47/11,77/18) Hyperbolic Matrix(6151,1392,10424,2359) (-12/53,-19/84) -> (59/100,36/61) Hyperbolic Matrix(1371,308,868,195) (-7/31,-2/9) -> (30/19,49/31) Hyperbolic Matrix(789,172,500,109) (-2/9,-5/23) -> (11/7,30/19) Hyperbolic Matrix(1145,248,928,201) (-5/23,-8/37) -> (16/13,21/17) Hyperbolic Matrix(1427,308,644,139) (-8/37,-3/14) -> (31/14,20/9) Hyperbolic Matrix(497,106,286,61) (-3/14,-4/19) -> (26/15,7/4) Hyperbolic Matrix(2053,430,1418,297) (-4/19,-9/43) -> (13/9,42/29) Hyperbolic Matrix(2123,444,2692,563) (-9/43,-5/24) -> (41/52,15/19) Hyperbolic Matrix(1059,220,284,59) (-5/24,-1/5) -> (41/11,15/4) Hyperbolic Matrix(1811,354,486,95) (-1/5,-6/31) -> (108/29,41/11) Hyperbolic Matrix(1733,334,1458,281) (-6/31,-5/26) -> (19/16,44/37) Hyperbolic Matrix(2219,426,1870,359) (-5/26,-9/47) -> (51/43,19/16) Hyperbolic Matrix(1939,370,414,79) (-9/47,-4/21) -> (14/3,61/13) Hyperbolic Matrix(137,26,1038,197) (-4/21,-7/37) -> (3/23,2/15) Hyperbolic Matrix(2969,560,896,169) (-10/53,-3/16) -> (53/16,10/3) Hyperbolic Matrix(343,64,552,103) (-3/16,-2/11) -> (18/29,5/8) Hyperbolic Matrix(5671,1022,3346,603) (-2/11,-9/50) -> (61/36,100/59) Hyperbolic Matrix(4637,830,2866,513) (-7/39,-5/28) -> (55/34,89/55) Hyperbolic Matrix(1157,206,410,73) (-5/28,-3/17) -> (31/11,17/6) Hyperbolic Matrix(951,166,338,59) (-3/17,-4/23) -> (14/5,31/11) Hyperbolic Matrix(1083,188,1492,259) (-4/23,-5/29) -> (37/51,8/11) Hyperbolic Matrix(1487,256,1760,303) (-5/29,-6/35) -> (38/45,11/13) Hyperbolic Matrix(2741,444,1068,173) (-1/6,-5/31) -> (59/23,77/30) Hyperbolic Matrix(199,32,1536,247) (-5/31,-4/25) -> (4/31,3/23) Hyperbolic Matrix(5461,870,2266,361) (-4/25,-7/44) -> (53/22,94/39) Hyperbolic Matrix(331,52,732,115) (-3/19,-2/13) -> (14/31,5/11) Hyperbolic Matrix(131,20,596,91) (-2/13,-3/20) -> (7/32,2/9) Hyperbolic Matrix(659,98,854,127) (-3/20,-1/7) -> (27/35,17/22) Hyperbolic Matrix(715,98,518,71) (-1/7,-2/15) -> (40/29,29/21) Hyperbolic Matrix(257,34,582,77) (-2/15,-1/8) -> (15/34,4/9) Hyperbolic Matrix(829,100,572,69) (-1/8,-2/17) -> (42/29,29/20) Hyperbolic Matrix(443,50,62,7) (-3/26,-1/9) -> (7/1,29/4) Hyperbolic Matrix(563,60,1004,107) (-1/9,-1/10) -> (37/66,23/41) Hyperbolic Matrix(433,40,184,17) (-1/10,0/1) -> (40/17,33/14) Hyperbolic Matrix(929,-80,360,-31) (0/1,1/10) -> (129/50,80/31) Hyperbolic Matrix(809,-86,254,-27) (1/10,1/9) -> (35/11,51/16) Hyperbolic Matrix(855,-98,602,-69) (1/9,1/8) -> (71/50,27/19) Hyperbolic Matrix(4271,-546,2730,-349) (1/8,4/31) -> (158/101,97/62) Hyperbolic Matrix(4627,-636,1084,-149) (3/22,4/29) -> (64/15,111/26) Hyperbolic Matrix(437,-66,682,-103) (1/7,2/13) -> (16/25,25/39) Hyperbolic Matrix(193,-30,534,-83) (2/13,1/6) -> (13/36,4/11) Hyperbolic Matrix(525,-92,428,-75) (1/6,3/17) -> (11/9,27/22) Hyperbolic Matrix(1807,-322,1330,-237) (3/17,5/28) -> (19/14,53/39) Hyperbolic Matrix(709,-132,188,-35) (2/11,3/16) -> (15/4,34/9) Hyperbolic Matrix(235,-46,46,-9) (4/21,1/5) -> (5/1,26/5) Hyperbolic Matrix(511,-106,834,-173) (1/5,4/19) -> (30/49,19/31) Hyperbolic Matrix(1479,-314,1154,-245) (7/33,3/14) -> (41/32,9/7) Hyperbolic Matrix(231,-50,1058,-229) (3/14,5/23) -> (5/23,7/32) Parabolic Matrix(365,-82,138,-31) (2/9,3/13) -> (29/11,8/3) Hyperbolic Matrix(499,-116,228,-53) (3/13,4/17) -> (24/11,11/5) Hyperbolic Matrix(497,-118,1630,-387) (4/17,5/21) -> (7/23,18/59) Hyperbolic Matrix(1039,-250,586,-141) (5/21,1/4) -> (39/22,55/31) Hyperbolic Matrix(133,-34,90,-23) (1/4,5/19) -> (19/13,3/2) Hyperbolic Matrix(709,-188,132,-35) (5/19,4/15) -> (16/3,27/5) Hyperbolic Matrix(133,-36,484,-131) (4/15,3/11) -> (3/11,8/29) Parabolic Matrix(1667,-462,350,-97) (13/47,5/18) -> (19/4,43/9) Hyperbolic Matrix(3415,-952,1008,-281) (5/18,12/43) -> (44/13,61/18) Hyperbolic Matrix(3807,-1064,2408,-673) (12/43,7/25) -> (49/31,68/43) Hyperbolic Matrix(1269,-356,524,-147) (7/25,2/7) -> (46/19,17/7) Hyperbolic Matrix(173,-50,218,-63) (2/7,5/17) -> (15/19,4/5) Hyperbolic Matrix(3415,-1008,952,-281) (5/17,13/44) -> (43/12,61/17) Hyperbolic Matrix(10157,-3002,2162,-639) (13/44,34/115) -> (108/23,47/10) Hyperbolic Matrix(3803,-1126,2246,-665) (21/71,8/27) -> (22/13,83/49) Hyperbolic Matrix(989,-300,300,-91) (3/10,7/23) -> (23/7,33/10) Hyperbolic Matrix(2745,-838,3862,-1179) (18/59,11/36) -> (27/38,32/45) Hyperbolic Matrix(985,-302,1758,-539) (11/36,4/13) -> (14/25,37/66) Hyperbolic Matrix(1327,-410,1026,-317) (4/13,9/29) -> (53/41,22/17) Hyperbolic Matrix(1539,-478,982,-305) (9/29,5/16) -> (47/30,11/7) Hyperbolic Matrix(1193,-376,936,-295) (5/16,6/19) -> (14/11,51/40) Hyperbolic Matrix(43,-14,126,-41) (6/19,1/3) -> (1/3,8/23) Parabolic Matrix(2119,-738,290,-101) (8/23,15/43) -> (51/7,22/3) Hyperbolic Matrix(3529,-1232,1120,-391) (15/43,7/20) -> (63/20,41/13) Hyperbolic Matrix(1409,-494,830,-291) (7/20,6/17) -> (56/33,17/10) Hyperbolic Matrix(535,-192,248,-89) (5/14,9/25) -> (15/7,13/6) Hyperbolic Matrix(2223,-802,1810,-653) (9/25,13/36) -> (27/22,43/35) Hyperbolic Matrix(779,-286,286,-105) (4/11,7/19) -> (19/7,30/11) Hyperbolic Matrix(449,-166,614,-227) (7/19,3/8) -> (19/26,11/15) Hyperbolic Matrix(365,-138,82,-31) (3/8,8/21) -> (22/5,9/2) Hyperbolic Matrix(1825,-696,1256,-479) (8/21,21/55) -> (45/31,16/11) Hyperbolic Matrix(1053,-404,404,-155) (13/34,5/13) -> (13/5,47/18) Hyperbolic Matrix(7751,-3002,2946,-1141) (12/31,31/80) -> (121/46,50/19) Hyperbolic Matrix(929,-360,80,-31) (31/80,19/49) -> (11/1,1/0) Hyperbolic Matrix(81,-32,200,-79) (7/18,2/5) -> (2/5,9/22) Parabolic Matrix(4489,-1840,3296,-1351) (25/61,16/39) -> (64/47,15/11) Hyperbolic Matrix(4049,-1662,2502,-1027) (16/39,7/17) -> (89/55,34/21) Hyperbolic Matrix(1269,-524,356,-147) (7/17,12/29) -> (32/9,25/7) Hyperbolic Matrix(357,-148,316,-131) (12/29,5/12) -> (9/8,8/7) Hyperbolic Matrix(3825,-1606,2446,-1027) (13/31,21/50) -> (25/16,61/39) Hyperbolic Matrix(1931,-812,868,-365) (21/50,8/19) -> (20/9,49/22) Hyperbolic Matrix(393,-166,670,-283) (8/19,3/7) -> (17/29,10/17) Hyperbolic Matrix(273,-118,118,-51) (3/7,7/16) -> (23/10,7/3) Hyperbolic Matrix(583,-256,312,-137) (7/16,11/25) -> (13/7,15/8) Hyperbolic Matrix(2255,-994,1554,-685) (11/25,15/34) -> (29/20,45/31) Hyperbolic Matrix(619,-276,388,-173) (4/9,13/29) -> (43/27,8/5) Hyperbolic Matrix(1931,-868,812,-365) (13/29,9/20) -> (19/8,69/29) Hyperbolic Matrix(499,-228,116,-53) (5/11,6/13) -> (30/7,13/3) Hyperbolic Matrix(535,-248,192,-89) (6/13,1/2) -> (39/14,14/5) Hyperbolic Matrix(583,-312,256,-137) (1/2,7/13) -> (25/11,41/18) Hyperbolic Matrix(2181,-1178,1346,-727) (7/13,13/24) -> (81/50,47/29) Hyperbolic Matrix(871,-474,362,-197) (13/24,6/11) -> (12/5,53/22) Hyperbolic Matrix(181,-100,324,-179) (6/11,5/9) -> (5/9,14/25) Parabolic Matrix(1219,-684,180,-101) (23/41,9/16) -> (27/4,7/1) Hyperbolic Matrix(215,-122,178,-101) (9/16,4/7) -> (6/5,17/14) Hyperbolic Matrix(1349,-780,780,-451) (15/26,11/19) -> (19/11,45/26) Hyperbolic Matrix(1135,-658,602,-349) (11/19,29/50) -> (15/8,17/9) Hyperbolic Matrix(1201,-702,142,-83) (7/12,31/53) -> (25/3,17/2) Hyperbolic Matrix(1449,-848,176,-103) (31/53,24/41) -> (8/1,25/3) Hyperbolic Matrix(7805,-4572,4908,-2875) (41/70,17/29) -> (97/61,35/22) Hyperbolic Matrix(1409,-830,494,-291) (10/17,23/39) -> (37/13,20/7) Hyperbolic Matrix(17083,-10078,10918,-6441) (23/39,59/100) -> (97/62,133/85) Hyperbolic Matrix(3803,-2246,1126,-665) (36/61,13/22) -> (27/8,98/29) Hyperbolic Matrix(1183,-722,834,-509) (14/23,11/18) -> (17/12,44/31) Hyperbolic Matrix(3751,-2296,1008,-617) (11/18,30/49) -> (26/7,67/18) Hyperbolic Matrix(4199,-2576,1736,-1065) (19/31,27/44) -> (29/12,75/31) Hyperbolic Matrix(833,-512,1352,-831) (27/44,8/13) -> (8/13,37/60) Parabolic Matrix(6061,-3738,4746,-2927) (37/60,29/47) -> (83/65,23/18) Hyperbolic Matrix(2181,-1346,1178,-727) (29/47,21/34) -> (37/20,13/7) Hyperbolic Matrix(4431,-2738,1730,-1069) (21/34,34/55) -> (64/25,41/16) Hyperbolic Matrix(5641,-3488,4048,-2503) (34/55,47/76) -> (39/28,46/33) Hyperbolic Matrix(3633,-2248,2248,-1391) (47/76,13/21) -> (21/13,97/60) Hyperbolic Matrix(1107,-686,518,-321) (13/21,31/50) -> (17/8,15/7) Hyperbolic Matrix(619,-390,446,-281) (5/8,12/19) -> (18/13,25/18) Hyperbolic Matrix(3807,-2408,1064,-673) (12/19,31/49) -> (25/7,68/19) Hyperbolic Matrix(1539,-982,478,-305) (7/11,23/36) -> (45/14,29/9) Hyperbolic Matrix(3825,-2446,1606,-1027) (23/36,16/25) -> (50/21,81/34) Hyperbolic Matrix(2423,-1554,1330,-853) (25/39,9/14) -> (51/28,31/17) Hyperbolic Matrix(375,-242,578,-373) (9/14,11/17) -> (11/17,13/20) Parabolic Matrix(133,-90,34,-23) (2/3,11/16) -> (23/6,4/1) Hyperbolic Matrix(1825,-1256,696,-479) (11/16,20/29) -> (76/29,21/8) Hyperbolic Matrix(429,-298,298,-207) (9/13,7/10) -> (23/16,13/9) Hyperbolic Matrix(1183,-834,722,-509) (19/27,12/17) -> (18/11,41/25) Hyperbolic Matrix(1871,-1322,426,-301) (12/17,29/41) -> (57/13,22/5) Hyperbolic Matrix(2263,-1602,1770,-1253) (29/41,17/24) -> (23/18,55/43) Hyperbolic Matrix(3341,-2370,2818,-1999) (39/55,22/31) -> (32/27,51/43) Hyperbolic Matrix(1965,-1396,556,-395) (22/31,27/38) -> (7/2,46/13) Hyperbolic Matrix(3993,-2840,1832,-1303) (32/45,5/7) -> (85/39,24/11) Hyperbolic Matrix(619,-446,390,-281) (5/7,13/18) -> (19/12,27/17) Hyperbolic Matrix(1885,-1364,1364,-987) (13/18,21/29) -> (29/21,47/34) Hyperbolic Matrix(97,-72,128,-95) (11/15,3/4) -> (3/4,13/17) Parabolic Matrix(4473,-3424,1744,-1335) (13/17,36/47) -> (100/39,59/23) Hyperbolic Matrix(2409,-1846,2854,-2187) (36/47,23/30) -> (27/32,38/45) Hyperbolic Matrix(1425,-1094,254,-195) (23/30,10/13) -> (28/5,45/8) Hyperbolic Matrix(2467,-1902,1454,-1121) (10/13,27/35) -> (39/23,56/33) Hyperbolic Matrix(1327,-1026,410,-317) (17/22,24/31) -> (42/13,13/4) Hyperbolic Matrix(3597,-2786,1610,-1247) (24/31,31/40) -> (67/30,38/17) Hyperbolic Matrix(1479,-1154,314,-245) (7/9,25/32) -> (47/10,33/7) Hyperbolic Matrix(2263,-1770,1602,-1253) (25/32,18/23) -> (24/17,65/46) Hyperbolic Matrix(4963,-3886,3046,-2385) (18/23,47/60) -> (101/62,44/27) Hyperbolic Matrix(5809,-4552,4552,-3567) (47/60,29/37) -> (37/29,97/76) Hyperbolic Matrix(1193,-936,376,-295) (29/37,11/14) -> (19/6,35/11) Hyperbolic Matrix(1065,-838,502,-395) (11/14,37/47) -> (19/9,17/8) Hyperbolic Matrix(721,-568,344,-271) (37/47,26/33) -> (2/1,19/9) Hyperbolic Matrix(651,-526,526,-425) (4/5,17/21) -> (21/17,26/21) Hyperbolic Matrix(525,-428,92,-75) (13/16,9/11) -> (17/3,23/4) Hyperbolic Matrix(215,-178,122,-101) (9/11,5/6) -> (7/4,23/13) Hyperbolic Matrix(1217,-1022,518,-435) (5/6,21/25) -> (7/3,47/20) Hyperbolic Matrix(3341,-2818,2370,-1999) (16/19,27/32) -> (31/22,86/61) Hyperbolic Matrix(575,-488,152,-129) (11/13,6/7) -> (34/9,19/5) Hyperbolic Matrix(391,-338,450,-389) (6/7,13/15) -> (13/15,20/23) Parabolic Matrix(357,-316,148,-131) (7/8,1/1) -> (41/17,29/12) Hyperbolic Matrix(291,-326,158,-177) (1/1,9/8) -> (11/6,35/19) Hyperbolic Matrix(391,-450,338,-389) (8/7,15/13) -> (15/13,22/19) Parabolic Matrix(283,-332,52,-61) (7/6,13/11) -> (27/5,11/2) Hyperbolic Matrix(2615,-3098,1922,-2277) (13/11,32/27) -> (34/25,83/61) Hyperbolic Matrix(1787,-2132,1124,-1341) (25/21,6/5) -> (62/39,97/61) Hyperbolic Matrix(631,-768,152,-185) (17/14,28/23) -> (4/1,25/6) Hyperbolic Matrix(10023,-12208,5656,-6889) (28/23,67/55) -> (101/57,140/79) Hyperbolic Matrix(3205,-3908,1892,-2307) (39/32,11/9) -> (83/49,61/36) Hyperbolic Matrix(2551,-3160,976,-1209) (26/21,5/4) -> (115/44,34/13) Hyperbolic Matrix(173,-218,50,-63) (5/4,14/11) -> (24/7,7/2) Hyperbolic Matrix(911,-1162,98,-125) (51/40,37/29) -> (9/1,19/2) Hyperbolic Matrix(18401,-23486,10382,-13251) (97/76,157/123) -> (179/101,39/22) Hyperbolic Matrix(25633,-32720,14464,-18463) (157/123,60/47) -> (140/79,179/101) Hyperbolic Matrix(5381,-6884,1228,-1571) (55/43,32/25) -> (92/21,57/13) Hyperbolic Matrix(6483,-8300,1916,-2453) (32/25,73/57) -> (159/47,44/13) Hyperbolic Matrix(4889,-6310,2054,-2651) (40/31,31/24) -> (119/50,50/21) Hyperbolic Matrix(2981,-3852,1612,-2083) (31/24,53/41) -> (61/33,37/20) Hyperbolic Matrix(829,-1076,292,-379) (35/27,13/10) -> (17/6,37/13) Hyperbolic Matrix(97,-128,72,-95) (13/10,4/3) -> (4/3,19/14) Parabolic Matrix(9629,-13108,2300,-3131) (49/36,113/83) -> (113/27,67/16) Hyperbolic Matrix(9129,-12430,2182,-2971) (113/83,64/47) -> (46/11,113/27) Hyperbolic Matrix(449,-614,166,-227) (15/11,11/8) -> (27/10,19/7) Hyperbolic Matrix(2585,-3574,494,-683) (47/34,65/47) -> (47/9,21/4) Hyperbolic Matrix(1833,-2536,352,-487) (65/47,18/13) -> (26/5,47/9) Hyperbolic Matrix(891,-1238,398,-553) (25/18,32/23) -> (38/17,9/4) Hyperbolic Matrix(2201,-3064,936,-1303) (32/23,39/28) -> (47/20,40/17) Hyperbolic Matrix(2993,-4174,702,-979) (46/33,7/5) -> (81/19,64/15) Hyperbolic Matrix(1675,-2356,396,-557) (7/5,38/27) -> (38/9,55/13) Hyperbolic Matrix(4279,-6024,1768,-2489) (38/27,31/22) -> (121/50,46/19) Hyperbolic Matrix(6775,-9576,2576,-3641) (65/46,41/29) -> (71/27,121/46) Hyperbolic Matrix(1461,-2068,556,-787) (41/29,17/12) -> (21/8,71/27) Hyperbolic Matrix(3935,-5586,1666,-2365) (44/31,71/50) -> (85/36,26/11) Hyperbolic Matrix(1519,-2178,1058,-1517) (10/7,33/23) -> (33/23,56/39) Parabolic Matrix(2803,-4086,1230,-1793) (16/11,35/24) -> (41/18,98/43) Hyperbolic Matrix(2049,-2990,638,-931) (35/24,19/13) -> (61/19,45/14) Hyperbolic Matrix(375,-578,242,-373) (3/2,17/11) -> (17/11,31/20) Parabolic Matrix(437,-682,66,-103) (14/9,25/16) -> (13/2,20/3) Hyperbolic Matrix(2359,-3690,218,-341) (61/39,158/101) -> (32/3,11/1) Hyperbolic Matrix(27729,-43390,11638,-18211) (133/85,36/23) -> (274/115,193/81) Hyperbolic Matrix(2663,-4170,698,-1093) (36/23,47/30) -> (61/16,42/11) Hyperbolic Matrix(1627,-2574,390,-617) (68/43,19/12) -> (25/6,46/11) Hyperbolic Matrix(6401,-10174,3958,-6291) (27/17,62/39) -> (76/47,131/81) Hyperbolic Matrix(4731,-7532,1988,-3165) (35/22,43/27) -> (69/29,119/50) Hyperbolic Matrix(1607,-2594,578,-933) (50/31,21/13) -> (25/9,64/23) Hyperbolic Matrix(21593,-34910,6014,-9723) (97/60,173/107) -> (219/61,79/22) Hyperbolic Matrix(25273,-40864,7040,-11383) (173/107,76/47) -> (140/39,219/61) Hyperbolic Matrix(7831,-12666,3594,-5813) (131/81,55/34) -> (61/28,85/39) Hyperbolic Matrix(3591,-5816,1112,-1801) (34/21,81/50) -> (71/22,42/13) Hyperbolic Matrix(833,-1352,512,-831) (47/29,13/8) -> (13/8,57/35) Parabolic Matrix(1661,-2708,468,-763) (44/27,31/19) -> (39/11,32/9) Hyperbolic Matrix(511,-834,106,-173) (31/19,18/11) -> (24/5,5/1) Hyperbolic Matrix(551,-904,64,-105) (41/25,23/14) -> (17/2,9/1) Hyperbolic Matrix(13963,-23668,5860,-9933) (100/59,39/23) -> (193/81,112/47) Hyperbolic Matrix(393,-670,166,-283) (17/10,12/7) -> (26/11,19/8) Hyperbolic Matrix(1829,-3154,802,-1383) (50/29,19/11) -> (57/25,16/7) Hyperbolic Matrix(1517,-2626,554,-959) (45/26,26/15) -> (52/19,11/4) Hyperbolic Matrix(3759,-6656,1112,-1969) (23/13,62/35) -> (98/29,71/21) Hyperbolic Matrix(3107,-5516,868,-1541) (55/31,16/9) -> (68/19,111/31) Hyperbolic Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(6137,-11168,1648,-2999) (20/11,71/39) -> (175/47,108/29) Hyperbolic Matrix(6413,-11676,2660,-4843) (71/39,51/28) -> (135/56,41/17) Hyperbolic Matrix(515,-942,158,-289) (31/17,11/6) -> (13/4,49/15) Hyperbolic Matrix(2777,-5118,414,-763) (35/19,59/32) -> (67/10,47/7) Hyperbolic Matrix(3677,-6796,1140,-2107) (24/13,61/33) -> (29/9,100/31) Hyperbolic Matrix(443,-844,116,-221) (17/9,2/1) -> (42/11,65/17) Hyperbolic Matrix(1921,-4184,264,-575) (37/17,61/28) -> (29/4,51/7) Hyperbolic Matrix(1509,-3364,676,-1507) (49/22,29/13) -> (29/13,67/30) Parabolic Matrix(1661,-3770,634,-1439) (34/15,25/11) -> (55/21,76/29) Hyperbolic Matrix(8623,-19656,2408,-5489) (98/43,57/25) -> (111/31,154/43) Hyperbolic Matrix(1327,-3042,578,-1325) (16/7,39/17) -> (39/17,62/27) Parabolic Matrix(2951,-6962,1250,-2949) (33/14,59/25) -> (59/25,85/36) Parabolic Matrix(17119,-40786,4834,-11517) (81/34,274/115) -> (216/61,85/24) Hyperbolic Matrix(1937,-4616,248,-591) (112/47,31/13) -> (39/5,8/1) Hyperbolic Matrix(2611,-6294,246,-593) (94/39,135/56) -> (21/2,32/3) Hyperbolic Matrix(4585,-11094,1294,-3131) (75/31,121/50) -> (85/24,39/11) Hyperbolic Matrix(81,-200,32,-79) (17/7,5/2) -> (5/2,23/9) Parabolic Matrix(5517,-14140,1540,-3947) (41/16,141/55) -> (197/55,43/12) Hyperbolic Matrix(16153,-41414,4510,-11563) (141/55,100/39) -> (154/43,197/55) Hyperbolic Matrix(6351,-16384,1768,-4561) (49/19,129/50) -> (79/22,97/27) Hyperbolic Matrix(2189,-5652,500,-1291) (80/31,31/12) -> (35/8,92/21) Hyperbolic Matrix(5023,-13122,1922,-5021) (47/18,81/31) -> (81/31,115/44) Parabolic Matrix(1231,-3362,450,-1229) (30/11,41/15) -> (41/15,52/19) Parabolic Matrix(193,-534,30,-83) (11/4,25/9) -> (19/3,13/2) Hyperbolic Matrix(2383,-6632,696,-1937) (64/23,39/14) -> (89/26,24/7) Hyperbolic Matrix(43,-126,14,-41) (20/7,3/1) -> (3/1,22/7) Parabolic Matrix(3363,-10580,500,-1573) (22/7,85/27) -> (195/29,74/11) Hyperbolic Matrix(7167,-22570,1066,-3357) (85/27,63/20) -> (121/18,195/29) Hyperbolic Matrix(1725,-5444,404,-1275) (41/13,19/6) -> (111/26,47/11) Hyperbolic Matrix(14311,-46168,3048,-9833) (100/31,171/53) -> (277/59,108/23) Hyperbolic Matrix(15051,-48566,3206,-10345) (171/53,71/22) -> (169/36,277/59) Hyperbolic Matrix(497,-1630,118,-387) (36/11,23/7) -> (21/5,38/9) Hyperbolic Matrix(1119,-3698,338,-1117) (33/10,43/13) -> (43/13,53/16) Parabolic Matrix(10017,-33886,2134,-7219) (115/34,159/47) -> (61/13,169/36) Hyperbolic Matrix(663,-2248,64,-217) (61/18,78/23) -> (10/1,21/2) Hyperbolic Matrix(2103,-7138,586,-1989) (78/23,17/5) -> (61/17,140/39) Hyperbolic Matrix(2471,-8450,722,-2469) (41/12,65/19) -> (65/19,89/26) Parabolic Matrix(9695,-34322,2738,-9693) (46/13,131/37) -> (131/37,216/61) Parabolic Matrix(2085,-7492,268,-963) (97/27,18/5) -> (70/9,39/5) Hyperbolic Matrix(133,-484,36,-131) (18/5,11/3) -> (11/3,26/7) Parabolic Matrix(6533,-24324,972,-3619) (67/18,175/47) -> (47/7,121/18) Hyperbolic Matrix(1265,-4838,302,-1155) (65/17,23/6) -> (67/16,21/5) Hyperbolic Matrix(545,-2312,128,-543) (55/13,17/4) -> (17/4,81/19) Parabolic Matrix(231,-1058,50,-229) (9/2,23/5) -> (23/5,37/8) Parabolic Matrix(1171,-5606,174,-833) (67/14,24/5) -> (74/11,27/4) Hyperbolic Matrix(49,-288,8,-47) (23/4,6/1) -> (6/1,25/4) Parabolic Matrix(793,-5310,102,-683) (20/3,67/10) -> (31/4,70/9) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,2,1) Matrix(745,352,1272,601) -> Matrix(7,-2,18,-5) Matrix(1373,644,420,197) -> Matrix(1,0,-4,1) Matrix(1467,682,-3874,-1801) -> Matrix(17,-6,54,-19) Matrix(937,434,1358,629) -> Matrix(3,-2,2,-1) Matrix(933,428,412,189) -> Matrix(1,0,-4,1) Matrix(823,376,1136,519) -> Matrix(1,0,-2,1) Matrix(1327,600,1024,463) -> Matrix(7,-2,-10,3) Matrix(1427,644,308,139) -> Matrix(19,-6,16,-5) Matrix(1119,502,506,227) -> Matrix(3,-2,2,-1) Matrix(509,228,-2132,-955) -> Matrix(5,-4,14,-11) Matrix(2331,1042,302,135) -> Matrix(1,0,0,1) Matrix(1823,814,4450,1987) -> Matrix(5,-2,8,-3) Matrix(203,90,-706,-313) -> Matrix(5,-2,18,-7) Matrix(2207,974,1602,707) -> Matrix(1,0,2,1) Matrix(499,220,1404,619) -> Matrix(1,0,0,1) Matrix(601,264,1696,745) -> Matrix(1,0,-6,1) Matrix(4591,2014,1794,787) -> Matrix(1,0,-2,1) Matrix(1195,524,-5284,-2317) -> Matrix(11,-2,28,-5) Matrix(795,346,494,215) -> Matrix(3,-2,2,-1) Matrix(691,300,-3660,-1589) -> Matrix(19,-2,48,-5) Matrix(1485,644,196,85) -> Matrix(1,0,-4,1) Matrix(4937,2138,3854,1669) -> Matrix(9,-2,-22,5) Matrix(7797,3374,5530,2393) -> Matrix(1,0,-2,1) Matrix(2073,896,2464,1065) -> Matrix(5,-2,8,-3) Matrix(2361,1018,494,213) -> Matrix(15,-4,4,-1) Matrix(485,206,1754,745) -> Matrix(13,-6,24,-11) Matrix(3983,1688,1168,495) -> Matrix(3,-4,4,-5) Matrix(1945,824,2816,1193) -> Matrix(1,2,0,1) Matrix(389,164,676,285) -> Matrix(1,0,-2,1) Matrix(871,366,1930,811) -> Matrix(11,-4,14,-5) Matrix(1253,526,1546,649) -> Matrix(13,-6,24,-11) Matrix(673,282,1062,445) -> Matrix(3,-4,4,-5) Matrix(1151,478,1818,755) -> Matrix(19,-4,24,-5) Matrix(859,356,-4780,-1981) -> Matrix(23,-4,52,-9) Matrix(763,316,-2388,-989) -> Matrix(19,-4,62,-13) Matrix(953,394,670,277) -> Matrix(7,-2,18,-5) Matrix(287,118,-1238,-509) -> Matrix(7,-2,18,-5) Matrix(1045,428,188,77) -> Matrix(1,0,-4,1) Matrix(1231,502,282,115) -> Matrix(7,-2,18,-5) Matrix(285,116,-1796,-731) -> Matrix(7,-2,32,-9) Matrix(1037,420,1316,533) -> Matrix(19,-6,54,-17) Matrix(1387,548,1020,403) -> Matrix(1,0,2,1) Matrix(2403,946,8126,3199) -> Matrix(5,-2,8,-3) Matrix(5537,2178,1294,509) -> Matrix(1,0,2,1) Matrix(827,324,-2116,-829) -> Matrix(1,0,10,1) Matrix(2023,790,274,107) -> Matrix(1,0,-8,1) Matrix(457,178,-1466,-571) -> Matrix(11,-2,28,-5) Matrix(733,284,1004,389) -> Matrix(1,0,-6,1) Matrix(275,106,454,175) -> Matrix(9,-2,14,-3) Matrix(271,104,456,175) -> Matrix(1,0,-2,1) Matrix(907,346,270,103) -> Matrix(7,-2,18,-5) Matrix(453,172,1172,445) -> Matrix(7,-2,4,-1) Matrix(3067,1162,4326,1639) -> Matrix(45,-14,-16,5) Matrix(449,170,3246,1229) -> Matrix(19,-6,16,-5) Matrix(1259,476,812,307) -> Matrix(55,-18,52,-17) Matrix(91,34,-538,-201) -> Matrix(5,-2,8,-3) Matrix(2409,896,1960,729) -> Matrix(3,-2,2,-1) Matrix(803,298,-2762,-1025) -> Matrix(13,-6,50,-23) Matrix(1065,394,446,165) -> Matrix(3,-2,2,-1) Matrix(2743,1008,1064,391) -> Matrix(1,0,4,1) Matrix(267,98,1414,519) -> Matrix(5,-2,8,-3) Matrix(617,226,1062,389) -> Matrix(1,0,2,1) Matrix(967,350,1666,603) -> Matrix(1,0,-4,1) Matrix(1663,600,352,127) -> Matrix(11,-2,6,-1) Matrix(1223,440,1576,567) -> Matrix(1,0,-4,1) Matrix(8305,2984,6816,2449) -> Matrix(67,-12,28,-5) Matrix(5507,1978,4630,1663) -> Matrix(21,-4,16,-3) Matrix(1831,656,1136,407) -> Matrix(37,-8,14,-3) Matrix(697,248,1824,649) -> Matrix(15,-4,34,-9) Matrix(345,122,-1298,-459) -> Matrix(7,-2,18,-5) Matrix(863,304,88,31) -> Matrix(7,-2,4,-1) Matrix(3283,1154,862,303) -> Matrix(7,-2,4,-1) Matrix(1813,636,2500,877) -> Matrix(13,-4,10,-3) Matrix(601,210,518,181) -> Matrix(37,-12,34,-11) Matrix(427,148,-1884,-653) -> Matrix(5,-2,18,-7) Matrix(1075,346,494,159) -> Matrix(13,-4,10,-3) Matrix(573,182,658,209) -> Matrix(49,-16,46,-15) Matrix(2369,746,1718,541) -> Matrix(11,-4,36,-13) Matrix(3671,1152,1144,359) -> Matrix(11,-4,-8,3) Matrix(2857,896,896,281) -> Matrix(5,-2,8,-3) Matrix(4797,1492,1868,581) -> Matrix(5,-2,8,-3) Matrix(7147,2220,4388,1363) -> Matrix(29,-12,-12,5) Matrix(1701,526,650,201) -> Matrix(13,-6,24,-11) Matrix(1051,322,1694,519) -> Matrix(1,0,0,1) Matrix(4271,1304,5080,1551) -> Matrix(3,2,4,3) Matrix(11849,3616,6688,2041) -> Matrix(1,0,-6,1) Matrix(1451,442,1126,343) -> Matrix(1,0,-2,1) Matrix(323,98,1526,463) -> Matrix(3,-4,4,-5) Matrix(1523,460,884,267) -> Matrix(1,0,-2,1) Matrix(957,284,556,165) -> Matrix(1,0,-6,1) Matrix(1271,376,240,71) -> Matrix(1,0,-2,1) Matrix(955,282,2462,727) -> Matrix(1,0,-4,1) Matrix(397,116,948,277) -> Matrix(9,-2,14,-3) Matrix(2609,760,1816,529) -> Matrix(49,-12,94,-23) Matrix(1497,434,238,69) -> Matrix(7,-2,18,-5) Matrix(5359,1550,3938,1139) -> Matrix(7,-2,32,-9) Matrix(155,44,236,67) -> Matrix(19,-6,16,-5) Matrix(235,66,-2026,-569) -> Matrix(29,-10,32,-11) Matrix(3735,1048,2648,743) -> Matrix(17,-6,54,-19) Matrix(1009,282,390,109) -> Matrix(11,-4,36,-13) Matrix(231,64,776,215) -> Matrix(9,-4,16,-7) Matrix(387,106,230,63) -> Matrix(5,-2,-2,1) Matrix(383,104,232,63) -> Matrix(1,0,-2,1) Matrix(613,164,228,61) -> Matrix(1,0,-2,1) Matrix(9829,2606,7698,2041) -> Matrix(1,2,-2,-3) Matrix(1903,504,4648,1231) -> Matrix(5,-2,8,-3) Matrix(379,100,-1444,-381) -> Matrix(1,0,2,1) Matrix(153,40,1136,297) -> Matrix(1,0,-2,1) Matrix(2799,728,1288,335) -> Matrix(7,-2,4,-1) Matrix(6655,1728,1968,511) -> Matrix(9,-2,14,-3) Matrix(1283,332,228,59) -> Matrix(1,0,-2,1) Matrix(1257,304,368,89) -> Matrix(29,-10,32,-11) Matrix(2579,618,1398,335) -> Matrix(11,-4,36,-13) Matrix(1543,366,586,139) -> Matrix(11,-4,14,-5) Matrix(145,34,806,189) -> Matrix(27,-10,46,-17) Matrix(2849,664,1240,289) -> Matrix(5,-2,28,-11) Matrix(509,116,724,165) -> Matrix(5,-2,-2,1) Matrix(6809,1544,1592,361) -> Matrix(1,0,0,1) Matrix(6151,1392,10424,2359) -> Matrix(5,-2,18,-7) Matrix(1371,308,868,195) -> Matrix(19,-8,12,-5) Matrix(789,172,500,109) -> Matrix(7,-2,4,-1) Matrix(1145,248,928,201) -> Matrix(7,-4,2,-1) Matrix(1427,308,644,139) -> Matrix(7,-4,2,-1) Matrix(497,106,286,61) -> Matrix(1,0,-2,1) Matrix(2053,430,1418,297) -> Matrix(1,0,-2,1) Matrix(2123,444,2692,563) -> Matrix(13,-4,36,-11) Matrix(1059,220,284,59) -> Matrix(1,0,0,1) Matrix(1811,354,486,95) -> Matrix(11,-4,36,-13) Matrix(1733,334,1458,281) -> Matrix(21,-8,8,-3) Matrix(2219,426,1870,359) -> Matrix(19,-8,12,-5) Matrix(1939,370,414,79) -> Matrix(1,0,-2,1) Matrix(137,26,1038,197) -> Matrix(5,-2,18,-7) Matrix(2969,560,896,169) -> Matrix(5,-2,68,-27) Matrix(343,64,552,103) -> Matrix(9,-4,16,-7) Matrix(5671,1022,3346,603) -> Matrix(5,-2,-2,1) Matrix(4637,830,2866,513) -> Matrix(1,0,-2,1) Matrix(1157,206,410,73) -> Matrix(13,-6,24,-11) Matrix(951,166,338,59) -> Matrix(7,-4,16,-9) Matrix(1083,188,1492,259) -> Matrix(3,-2,2,-1) Matrix(1487,256,1760,303) -> Matrix(1,-2,2,-3) Matrix(2741,444,1068,173) -> Matrix(1,0,0,1) Matrix(199,32,1536,247) -> Matrix(1,0,-2,1) Matrix(5461,870,2266,361) -> Matrix(9,-2,-4,1) Matrix(331,52,732,115) -> Matrix(5,-2,8,-3) Matrix(131,20,596,91) -> Matrix(19,-6,16,-5) Matrix(659,98,854,127) -> Matrix(11,-4,36,-13) Matrix(715,98,518,71) -> Matrix(5,-2,8,-3) Matrix(257,34,582,77) -> Matrix(23,-10,30,-13) Matrix(829,100,572,69) -> Matrix(3,-2,8,-5) Matrix(443,50,62,7) -> Matrix(1,0,0,1) Matrix(563,60,1004,107) -> Matrix(1,0,0,1) Matrix(433,40,184,17) -> Matrix(5,-2,8,-3) Matrix(929,-80,360,-31) -> Matrix(7,-4,30,-17) Matrix(809,-86,254,-27) -> Matrix(3,-2,2,-1) Matrix(855,-98,602,-69) -> Matrix(5,-4,14,-11) Matrix(4271,-546,2730,-349) -> Matrix(5,-4,4,-3) Matrix(4627,-636,1084,-149) -> Matrix(3,-2,14,-9) Matrix(437,-66,682,-103) -> Matrix(29,-10,32,-11) Matrix(193,-30,534,-83) -> Matrix(5,-2,-2,1) Matrix(525,-92,428,-75) -> Matrix(15,-8,2,-1) Matrix(1807,-322,1330,-237) -> Matrix(7,-4,30,-17) Matrix(709,-132,188,-35) -> Matrix(3,-2,14,-9) Matrix(235,-46,46,-9) -> Matrix(3,-2,2,-1) Matrix(511,-106,834,-173) -> Matrix(11,-8,18,-13) Matrix(1479,-314,1154,-245) -> Matrix(5,-4,-16,13) Matrix(231,-50,1058,-229) -> Matrix(21,-20,20,-19) Matrix(365,-82,138,-31) -> Matrix(1,-2,2,-3) Matrix(499,-116,228,-53) -> Matrix(1,2,0,1) Matrix(497,-118,1630,-387) -> Matrix(3,2,4,3) Matrix(1039,-250,586,-141) -> Matrix(1,0,-4,1) Matrix(133,-34,90,-23) -> Matrix(5,-2,8,-3) Matrix(709,-188,132,-35) -> Matrix(5,-2,8,-3) Matrix(133,-36,484,-131) -> Matrix(21,-10,40,-19) Matrix(1667,-462,350,-97) -> Matrix(15,-8,2,-1) Matrix(3415,-952,1008,-281) -> Matrix(3,-2,8,-5) Matrix(3807,-1064,2408,-673) -> Matrix(17,-10,12,-7) Matrix(1269,-356,524,-147) -> Matrix(7,-4,-12,7) Matrix(173,-50,218,-63) -> Matrix(7,-4,16,-9) Matrix(3415,-1008,952,-281) -> Matrix(3,-2,2,-1) Matrix(10157,-3002,2162,-639) -> Matrix(7,-4,2,-1) Matrix(3803,-1126,2246,-665) -> Matrix(3,-2,8,-5) Matrix(989,-300,300,-91) -> Matrix(3,-2,-16,11) Matrix(2745,-838,3862,-1179) -> Matrix(23,-16,-10,7) Matrix(985,-302,1758,-539) -> Matrix(3,-2,2,-1) Matrix(1327,-410,1026,-317) -> Matrix(3,-2,-4,3) Matrix(1539,-478,982,-305) -> Matrix(7,-6,6,-5) Matrix(1193,-376,936,-295) -> Matrix(17,-12,-24,17) Matrix(43,-14,126,-41) -> Matrix(5,-4,4,-3) Matrix(2119,-738,290,-101) -> Matrix(1,-4,0,1) Matrix(3529,-1232,1120,-391) -> Matrix(1,-14,0,1) Matrix(1409,-494,830,-291) -> Matrix(1,2,0,1) Matrix(535,-192,248,-89) -> Matrix(3,-2,2,-1) Matrix(2223,-802,1810,-653) -> Matrix(1,2,0,1) Matrix(779,-286,286,-105) -> Matrix(1,0,-4,1) Matrix(449,-166,614,-227) -> Matrix(1,0,-4,1) Matrix(365,-138,82,-31) -> Matrix(5,-2,8,-3) Matrix(1825,-696,1256,-479) -> Matrix(5,-2,8,-3) Matrix(1053,-404,404,-155) -> Matrix(7,-4,16,-9) Matrix(7751,-3002,2946,-1141) -> Matrix(1,-2,2,-3) Matrix(929,-360,80,-31) -> Matrix(1,0,0,1) Matrix(81,-32,200,-79) -> Matrix(5,-2,8,-3) Matrix(4489,-1840,3296,-1351) -> Matrix(3,-2,8,-5) Matrix(4049,-1662,2502,-1027) -> Matrix(11,-6,2,-1) Matrix(1269,-524,356,-147) -> Matrix(3,-2,-4,3) Matrix(357,-148,316,-131) -> Matrix(1,-2,2,-3) Matrix(3825,-1606,2446,-1027) -> Matrix(13,-4,10,-3) Matrix(1931,-812,868,-365) -> Matrix(11,-6,2,-1) Matrix(393,-166,670,-283) -> Matrix(7,-4,16,-9) Matrix(273,-118,118,-51) -> Matrix(3,-2,2,-1) Matrix(583,-256,312,-137) -> Matrix(3,-2,2,-1) Matrix(2255,-994,1554,-685) -> Matrix(11,-8,18,-13) Matrix(619,-276,388,-173) -> Matrix(5,-4,4,-3) Matrix(1931,-868,812,-365) -> Matrix(3,-2,-4,3) Matrix(499,-228,116,-53) -> Matrix(5,-4,14,-11) Matrix(535,-248,192,-89) -> Matrix(7,-6,20,-17) Matrix(583,-312,256,-137) -> Matrix(1,0,-2,1) Matrix(2181,-1178,1346,-727) -> Matrix(1,4,0,1) Matrix(871,-474,362,-197) -> Matrix(1,-2,0,1) Matrix(181,-100,324,-179) -> Matrix(1,0,2,1) Matrix(1219,-684,180,-101) -> Matrix(1,0,-2,1) Matrix(215,-122,178,-101) -> Matrix(3,-2,2,-1) Matrix(1349,-780,780,-451) -> Matrix(1,0,-4,1) Matrix(1135,-658,602,-349) -> Matrix(1,0,0,1) Matrix(1201,-702,142,-83) -> Matrix(7,-2,4,-1) Matrix(1449,-848,176,-103) -> Matrix(11,-4,14,-5) Matrix(7805,-4572,4908,-2875) -> Matrix(1,0,-2,1) Matrix(1409,-830,494,-291) -> Matrix(3,-2,8,-5) Matrix(17083,-10078,10918,-6441) -> Matrix(13,-4,10,-3) Matrix(3803,-2246,1126,-665) -> Matrix(13,-6,24,-11) Matrix(1183,-722,834,-509) -> Matrix(3,-2,8,-5) Matrix(3751,-2296,1008,-617) -> Matrix(7,-4,30,-17) Matrix(4199,-2576,1736,-1065) -> Matrix(7,-4,-12,7) Matrix(833,-512,1352,-831) -> Matrix(13,-8,18,-11) Matrix(6061,-3738,4746,-2927) -> Matrix(7,-4,-12,7) Matrix(2181,-1346,1178,-727) -> Matrix(3,-2,8,-5) Matrix(4431,-2738,1730,-1069) -> Matrix(3,-2,8,-5) Matrix(5641,-3488,4048,-2503) -> Matrix(1,0,2,1) Matrix(3633,-2248,2248,-1391) -> Matrix(13,-10,4,-3) Matrix(1107,-686,518,-321) -> Matrix(7,-6,6,-5) Matrix(619,-390,446,-281) -> Matrix(5,-4,24,-19) Matrix(3807,-2408,1064,-673) -> Matrix(5,-4,-6,5) Matrix(1539,-982,478,-305) -> Matrix(7,-6,-8,7) Matrix(3825,-2446,1606,-1027) -> Matrix(9,-8,8,-7) Matrix(2423,-1554,1330,-853) -> Matrix(11,-10,54,-49) Matrix(375,-242,578,-373) -> Matrix(35,-34,34,-33) Matrix(133,-90,34,-23) -> Matrix(1,-2,2,-3) Matrix(1825,-1256,696,-479) -> Matrix(1,-4,2,-7) Matrix(429,-298,298,-207) -> Matrix(1,-6,2,-11) Matrix(1183,-834,722,-509) -> Matrix(1,-2,0,1) Matrix(1871,-1322,426,-301) -> Matrix(1,-2,2,-3) Matrix(2263,-1602,1770,-1253) -> Matrix(1,8,-2,-15) Matrix(3341,-2370,2818,-1999) -> Matrix(3,4,2,3) Matrix(1965,-1396,556,-395) -> Matrix(1,2,0,1) Matrix(3993,-2840,1832,-1303) -> Matrix(7,12,4,7) Matrix(619,-446,390,-281) -> Matrix(1,2,0,1) Matrix(1885,-1364,1364,-987) -> Matrix(1,0,0,1) Matrix(97,-72,128,-95) -> Matrix(1,0,4,1) Matrix(4473,-3424,1744,-1335) -> Matrix(1,0,-2,1) Matrix(2409,-1846,2854,-2187) -> Matrix(5,-2,8,-3) Matrix(1425,-1094,254,-195) -> Matrix(1,0,-2,1) Matrix(2467,-1902,1454,-1121) -> Matrix(7,-2,4,-1) Matrix(1327,-1026,410,-317) -> Matrix(5,-2,-2,1) Matrix(3597,-2786,1610,-1247) -> Matrix(21,-10,-2,1) Matrix(1479,-1154,314,-245) -> Matrix(7,-2,4,-1) Matrix(2263,-1770,1602,-1253) -> Matrix(7,-2,18,-5) Matrix(4963,-3886,3046,-2385) -> Matrix(5,-2,-2,1) Matrix(5809,-4552,4552,-3567) -> Matrix(11,-2,-16,3) Matrix(1193,-936,376,-295) -> Matrix(1,0,-4,1) Matrix(1065,-838,502,-395) -> Matrix(31,-10,28,-9) Matrix(721,-568,344,-271) -> Matrix(23,-8,26,-9) Matrix(651,-526,526,-425) -> Matrix(27,-14,2,-1) Matrix(525,-428,92,-75) -> Matrix(7,-4,2,-1) Matrix(215,-178,122,-101) -> Matrix(3,-2,-4,3) Matrix(1217,-1022,518,-435) -> Matrix(3,-2,2,-1) Matrix(3341,-2818,2370,-1999) -> Matrix(5,-4,14,-11) Matrix(575,-488,152,-129) -> Matrix(5,-4,14,-11) Matrix(391,-338,450,-389) -> Matrix(31,-30,30,-29) Matrix(357,-316,148,-131) -> Matrix(3,-4,-2,3) Matrix(291,-326,158,-177) -> Matrix(3,-2,8,-5) Matrix(391,-450,338,-389) -> Matrix(27,-26,26,-25) Matrix(283,-332,52,-61) -> Matrix(3,-4,4,-5) Matrix(2615,-3098,1922,-2277) -> Matrix(1,-2,6,-11) Matrix(1787,-2132,1124,-1341) -> Matrix(1,0,0,1) Matrix(631,-768,152,-185) -> Matrix(1,-2,2,-3) Matrix(10023,-12208,5656,-6889) -> Matrix(1,-2,-10,21) Matrix(3205,-3908,1892,-2307) -> Matrix(1,-2,0,1) Matrix(2551,-3160,976,-1209) -> Matrix(1,-24,2,-47) Matrix(173,-218,50,-63) -> Matrix(1,2,0,1) Matrix(911,-1162,98,-125) -> Matrix(3,2,4,3) Matrix(18401,-23486,10382,-13251) -> Matrix(3,2,16,11) Matrix(25633,-32720,14464,-18463) -> Matrix(3,2,-50,-33) Matrix(5381,-6884,1228,-1571) -> Matrix(25,12,52,25) Matrix(6483,-8300,1916,-2453) -> Matrix(1,0,4,1) Matrix(4889,-6310,2054,-2651) -> Matrix(1,0,2,1) Matrix(2981,-3852,1612,-2083) -> Matrix(1,0,4,1) Matrix(829,-1076,292,-379) -> Matrix(1,0,4,1) Matrix(97,-128,72,-95) -> Matrix(1,0,6,1) Matrix(9629,-13108,2300,-3131) -> Matrix(7,-2,4,-1) Matrix(9129,-12430,2182,-2971) -> Matrix(5,-2,8,-3) Matrix(449,-614,166,-227) -> Matrix(1,0,-4,1) Matrix(2585,-3574,494,-683) -> Matrix(1,0,8,1) Matrix(1833,-2536,352,-487) -> Matrix(1,0,-10,1) Matrix(891,-1238,398,-553) -> Matrix(17,-4,-4,1) Matrix(2201,-3064,936,-1303) -> Matrix(7,-2,18,-5) Matrix(2993,-4174,702,-979) -> Matrix(7,-2,32,-9) Matrix(1675,-2356,396,-557) -> Matrix(5,-2,8,-3) Matrix(4279,-6024,1768,-2489) -> Matrix(1,0,-4,1) Matrix(6775,-9576,2576,-3641) -> Matrix(11,-4,14,-5) Matrix(1461,-2068,556,-787) -> Matrix(9,-4,16,-7) Matrix(3935,-5586,1666,-2365) -> Matrix(13,-4,10,-3) Matrix(1519,-2178,1058,-1517) -> Matrix(53,-26,104,-51) Matrix(2803,-4086,1230,-1793) -> Matrix(3,-2,-4,3) Matrix(2049,-2990,638,-931) -> Matrix(1,0,-2,1) Matrix(375,-578,242,-373) -> Matrix(23,-22,22,-21) Matrix(437,-682,66,-103) -> Matrix(5,-6,6,-7) Matrix(2359,-3690,218,-341) -> Matrix(3,-4,10,-13) Matrix(27729,-43390,11638,-18211) -> Matrix(3,-4,4,-5) Matrix(2663,-4170,698,-1093) -> Matrix(3,-4,10,-13) Matrix(1627,-2574,390,-617) -> Matrix(1,-2,4,-7) Matrix(6401,-10174,3958,-6291) -> Matrix(9,-14,2,-3) Matrix(4731,-7532,1988,-3165) -> Matrix(1,-2,2,-3) Matrix(1607,-2594,578,-933) -> Matrix(3,-10,10,-33) Matrix(21593,-34910,6014,-9723) -> Matrix(1,-4,4,-15) Matrix(25273,-40864,7040,-11383) -> Matrix(1,-4,-6,25) Matrix(7831,-12666,3594,-5813) -> Matrix(7,-30,4,-17) Matrix(3591,-5816,1112,-1801) -> Matrix(1,-4,0,1) Matrix(833,-1352,512,-831) -> Matrix(1,-8,0,1) Matrix(1661,-2708,468,-763) -> Matrix(1,0,0,1) Matrix(511,-834,106,-173) -> Matrix(1,0,0,1) Matrix(551,-904,64,-105) -> Matrix(1,2,0,1) Matrix(13963,-23668,5860,-9933) -> Matrix(1,0,0,1) Matrix(393,-670,166,-283) -> Matrix(1,2,0,1) Matrix(1829,-3154,802,-1383) -> Matrix(1,0,0,1) Matrix(1517,-2626,554,-959) -> Matrix(1,0,12,1) Matrix(3759,-6656,1112,-1969) -> Matrix(15,4,26,7) Matrix(3107,-5516,868,-1541) -> Matrix(1,0,2,1) Matrix(181,-324,100,-179) -> Matrix(1,0,10,1) Matrix(6137,-11168,1648,-2999) -> Matrix(25,-4,94,-15) Matrix(6413,-11676,2660,-4843) -> Matrix(45,-8,-28,5) Matrix(515,-942,158,-289) -> Matrix(1,0,-6,1) Matrix(2777,-5118,414,-763) -> Matrix(3,-2,2,-1) Matrix(3677,-6796,1140,-2107) -> Matrix(1,0,-4,1) Matrix(443,-844,116,-221) -> Matrix(1,0,0,1) Matrix(1921,-4184,264,-575) -> Matrix(5,-8,2,-3) Matrix(1509,-3364,676,-1507) -> Matrix(1,-22,0,1) Matrix(1661,-3770,634,-1439) -> Matrix(1,-2,2,-3) Matrix(8623,-19656,2408,-5489) -> Matrix(1,0,2,1) Matrix(1327,-3042,578,-1325) -> Matrix(1,0,10,1) Matrix(2951,-6962,1250,-2949) -> Matrix(13,-12,12,-11) Matrix(17119,-40786,4834,-11517) -> Matrix(1,-2,0,1) Matrix(1937,-4616,248,-591) -> Matrix(1,0,2,1) Matrix(2611,-6294,246,-593) -> Matrix(1,2,-2,-3) Matrix(4585,-11094,1294,-3131) -> Matrix(3,2,-2,-1) Matrix(81,-200,32,-79) -> Matrix(1,0,4,1) Matrix(5517,-14140,1540,-3947) -> Matrix(1,0,-4,1) Matrix(16153,-41414,4510,-11563) -> Matrix(5,-2,-2,1) Matrix(6351,-16384,1768,-4561) -> Matrix(9,-2,-4,1) Matrix(2189,-5652,500,-1291) -> Matrix(23,-6,50,-13) Matrix(5023,-13122,1922,-5021) -> Matrix(77,-38,152,-75) Matrix(1231,-3362,450,-1229) -> Matrix(1,0,22,1) Matrix(193,-534,30,-83) -> Matrix(1,0,-2,1) Matrix(2383,-6632,696,-1937) -> Matrix(55,-18,52,-17) Matrix(43,-126,14,-41) -> Matrix(3,-2,2,-1) Matrix(3363,-10580,500,-1573) -> Matrix(1,-14,0,1) Matrix(7167,-22570,1066,-3357) -> Matrix(1,36,0,1) Matrix(1725,-5444,404,-1275) -> Matrix(1,4,4,17) Matrix(14311,-46168,3048,-9833) -> Matrix(5,2,2,1) Matrix(15051,-48566,3206,-10345) -> Matrix(7,-2,4,-1) Matrix(497,-1630,118,-387) -> Matrix(1,0,4,1) Matrix(1119,-3698,338,-1117) -> Matrix(1,0,26,1) Matrix(10017,-33886,2134,-7219) -> Matrix(5,-4,4,-3) Matrix(663,-2248,64,-217) -> Matrix(3,-2,8,-5) Matrix(2103,-7138,586,-1989) -> Matrix(3,-2,-4,3) Matrix(2471,-8450,722,-2469) -> Matrix(37,-36,36,-35) Matrix(9695,-34322,2738,-9693) -> Matrix(1,-2,0,1) Matrix(2085,-7492,268,-963) -> Matrix(1,0,4,1) Matrix(133,-484,36,-131) -> Matrix(1,0,6,1) Matrix(6533,-24324,972,-3619) -> Matrix(47,-12,4,-1) Matrix(1265,-4838,302,-1155) -> Matrix(1,0,-2,1) Matrix(545,-2312,128,-543) -> Matrix(1,0,4,1) Matrix(231,-1058,50,-229) -> Matrix(11,-10,10,-9) Matrix(1171,-5606,174,-833) -> Matrix(1,-6,0,1) Matrix(49,-288,8,-47) -> Matrix(1,0,2,1) Matrix(793,-5310,102,-683) -> Matrix(1,-2,4,-7) 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): 128 Degree of the the map X: 128 Degree of the the map Y: 384 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 0/1 1 1 0/1 1/2 1 28 1/10 (2/3,1/1) 0 28 1/9 2/3 1 14 1/8 (1/1,1/0) 0 28 2/15 1/2 1 28 1/7 0/1 1 7 2/13 3/8 1 28 1/6 1/2 4 4 3/17 5/9 1 7 2/11 7/12 1 28 3/16 (3/5,2/3) 0 28 1/5 2/3 1 14 4/19 3/4 1 28 3/14 (7/8,1/1) 0 28 5/23 1/1 10 1 2/9 3/2 1 28 3/13 1/0 1 7 4/17 0/1 3 4 5/21 0/1 1 14 1/4 (0/1,1/3) 0 28 5/19 1/2 1 7 4/15 1/2 1 28 3/11 1/2 5 2 8/29 1/2 1 28 5/18 (6/11,5/9) 0 28 12/43 1/2 1 28 7/25 4/7 1 7 2/7 1/2 1 28 5/17 2/3 1 14 3/10 (7/11,2/3) 0 28 7/23 2/3 1 14 18/59 2/3 3 4 11/36 (7/10,5/7) 0 28 4/13 3/4 1 28 9/29 2/3 1 14 5/16 2/3 2 4 6/19 13/18 1 28 1/3 1/1 2 7 8/23 7/2 1 28 15/43 8/1 1 14 7/20 (-5/1,1/0) 0 28 6/17 1/0 1 28 5/14 (0/1,1/1) 0 28 9/25 2/1 1 14 13/36 1/0 4 4 4/11 -1/2 1 28 7/19 0/1 1 14 3/8 (0/1,1/3) 0 28 8/21 1/2 1 28 13/34 (7/15,1/2) 0 28 5/13 2/3 1 14 7/18 (0/1,1/3) 0 28 2/5 1/2 1 4 9/22 (2/3,1/1) 0 28 25/61 2/3 1 14 16/39 1/2 1 28 7/17 2/3 1 7 12/29 5/6 1 28 5/12 (1/3,1/2) 0 28 8/19 1/2 1 28 3/7 2/3 1 14 7/16 (2/3,5/7) 0 28 11/25 5/7 1 7 4/9 1/2 1 28 13/29 2/3 1 2 9/20 (3/4,1/1) 0 28 5/11 3/4 1 7 6/13 5/6 1 28 1/2 (1/1,1/0) 0 28 7/13 1/1 2 7 13/24 (0/1,1/1) 0 28 6/11 1/0 1 28 5/9 0/1 1 2 14/25 1/2 1 28 23/41 0/1 1 7 9/16 (0/1,1/1) 0 28 4/7 1/2 1 28 11/19 0/1 1 14 7/12 (0/1,1/3) 0 28 31/53 1/3 3 1 24/41 3/8 1 28 17/29 2/5 1 14 10/17 1/2 1 28 3/5 1/2 1 7 11/18 (1/3,1/2) 0 28 30/49 1/2 1 28 19/31 2/3 1 14 27/44 (3/5,8/13) 0 28 8/13 2/3 1 4 37/60 (0/1,1/1) 0 28 29/47 1/1 1 7 21/34 (2/3,1/1) 0 28 34/55 3/4 1 28 47/76 (3/5,2/3) 0 28 13/21 2/3 1 14 5/8 (2/3,5/7) 0 28 12/19 5/6 1 28 7/11 6/7 1 14 23/36 (7/8,1/1) 0 28 16/25 7/8 1 28 25/39 10/11 1 7 9/14 (14/15,1/1) 0 28 11/17 1/1 17 1 2/3 3/2 1 28 11/16 (3/1,1/0) 0 28 20/29 2/1 1 4 9/13 4/1 1 14 7/10 (-3/1,1/0) 0 28 12/17 1/0 1 28 29/41 1/0 11 2 17/24 (-5/1,-4/1) 0 28 22/31 1/0 1 28 27/38 (-3/1,1/0) 0 28 32/45 -2/1 3 4 5/7 -1/1 1 7 13/18 (-1/3,0/1) 0 28 21/29 0/1 1 14 8/11 1/0 1 28 11/15 0/1 1 14 3/4 0/1 2 4 13/17 0/1 1 14 36/47 1/4 1 28 23/30 (1/4,1/3) 0 28 10/13 1/4 1 28 17/22 (1/3,3/8) 0 28 24/31 1/2 1 28 7/9 0/1 1 7 25/32 (0/1,1/3) 0 28 18/23 1/4 1 28 47/60 (-1/1,0/1) 0 28 29/37 0/1 1 14 11/14 (2/7,1/3) 0 28 37/47 1/3 9 1 26/33 7/20 1 28 15/19 2/5 1 14 4/5 1/2 1 28 13/16 (1/2,5/9) 0 28 9/11 3/5 2 7 5/6 (2/3,1/1) 0 28 21/25 2/3 1 14 16/19 3/4 1 4 27/32 (3/4,1/1) 0 28 11/13 3/4 1 7 6/7 7/8 1 28 13/15 1/1 15 1 7/8 (1/1,8/7) 0 28 1/1 0/1 1 14 9/8 (5/7,3/4) 0 28 8/7 7/8 1 28 15/13 1/1 13 1 7/6 (1/1,6/5) 0 28 13/11 3/2 1 7 32/27 3/2 1 28 19/16 2/1 2 4 25/21 2/1 1 14 6/5 1/0 1 28 17/14 (1/1,2/1) 0 28 28/23 3/2 1 28 39/32 (8/3,3/1) 0 28 11/9 3/1 1 7 27/22 1/0 4 4 16/13 1/0 1 28 5/4 (-3/1,1/0) 0 28 14/11 -5/6 1 28 51/40 -2/3 2 4 37/29 -2/3 1 14 97/76 (-13/19,-2/3) 0 28 157/123 -2/3 11 1 60/47 -9/14 1 28 23/18 (-3/5,-4/7) 0 28 55/43 -1/2 11 2 32/25 -1/2 1 28 9/7 0/1 1 7 31/24 (-1/1,0/1) 0 28 53/41 0/1 1 14 22/17 1/0 1 28 13/10 (-1/3,0/1) 0 28 4/3 0/1 3 4 19/14 (0/1,1/3) 0 28 34/25 1/4 1 28 49/36 (1/4,1/3) 0 28 113/83 1/3 2 1 64/47 1/2 1 28 15/11 0/1 1 14 11/8 (0/1,1/3) 0 28 29/21 0/1 1 14 47/34 (-1/3,0/1) 0 28 65/47 0/1 9 1 18/13 1/6 1 28 25/18 (2/9,3/13) 0 28 32/23 1/4 1 28 39/28 (3/11,2/7) 0 28 46/33 3/10 1 28 7/5 1/3 2 7 38/27 1/2 1 28 31/22 (1/3,1/2) 0 28 24/17 1/2 1 28 65/46 (1/3,2/5) 0 28 41/29 2/5 1 2 17/12 (3/7,1/2) 0 28 10/7 1/2 1 28 33/23 1/2 13 1 23/16 (1/2,9/17) 0 28 13/9 2/3 1 14 29/20 1/2 4 4 16/11 1/2 1 28 35/24 (1/2,1/1) 0 28 19/13 1/2 1 7 3/2 (2/3,1/1) 0 28 17/11 1/1 11 1 14/9 9/8 1 28 25/16 (6/5,11/9) 0 28 36/23 5/4 1 28 47/30 4/3 2 4 11/7 4/3 1 14 19/12 (5/3,2/1) 0 28 27/17 1/1 1 7 62/39 1/0 1 28 35/22 (1/1,2/1) 0 28 43/27 2/1 1 2 8/5 3/2 1 28 21/13 4/1 1 14 97/60 (11/3,4/1) 0 28 173/107 4/1 5 1 76/47 9/2 1 28 131/81 5/1 1 7 55/34 (5/1,6/1) 0 28 34/21 1/0 1 28 81/50 (4/1,5/1) 0 28 47/29 5/1 2 7 13/8 1/0 4 4 57/35 -3/1 2 7 44/27 -3/2 1 28 31/19 0/1 1 14 18/11 1/0 1 28 5/3 1/0 1 7 17/10 (-3/1,1/0) 0 28 12/7 -1/2 1 28 19/11 0/1 1 14 7/4 (-1/1,0/1) 0 28 23/13 -1/3 2 7 62/35 -1/6 1 28 39/22 (-1/1,0/1) 0 28 55/31 0/1 1 14 16/9 -1/2 1 28 9/5 0/1 5 2 20/11 1/8 1 28 71/39 4/23 1 14 51/28 (4/21,1/5) 0 28 31/17 0/1 1 7 11/6 (1/5,1/4) 0 28 35/19 2/5 1 14 24/13 1/2 1 28 61/33 0/1 1 14 37/20 (0/1,1/3) 0 28 13/7 1/3 1 7 15/8 (0/1,1/3) 0 28 2/1 1/2 1 28 15/7 4/3 1 14 13/6 (1/1,2/1) 0 28 37/17 4/3 1 14 61/28 (5/3,12/7) 0 28 85/39 5/3 1 7 24/11 2/1 3 4 11/5 1/0 1 7 20/9 1/0 1 28 29/13 1/0 11 2 38/17 1/0 1 28 9/4 (-2/1,-1/1) 0 28 25/11 -1/1 2 7 41/18 (-1/1,-1/2) 0 28 16/7 -1/2 1 28 39/17 0/1 5 1 23/10 (0/1,1/3) 0 28 7/3 0/1 1 14 33/14 (3/4,1/1) 0 28 59/25 1/1 6 1 26/11 3/2 1 28 19/8 (-1/1,1/0) 0 28 12/5 1/0 1 28 53/22 (-2/1,-1/1) 0 28 41/17 -4/3 1 14 29/12 (-1/1,-4/5) 0 28 75/31 -2/3 1 14 121/50 (-1/1,-1/2) 0 28 46/19 -1/2 1 28 17/7 0/1 1 7 5/2 0/1 2 4 23/9 0/1 1 7 41/16 (0/1,1/3) 0 28 141/55 1/3 1 1 100/39 1/2 1 28 59/23 0/1 1 14 18/7 1/2 1 28 13/5 2/5 1 14 47/18 (11/23,1/2) 0 28 81/31 1/2 19 1 34/13 1/2 1 28 21/8 (1/2,1/1) 0 28 29/11 1/2 1 7 8/3 1/0 1 28 19/7 0/1 1 14 30/11 -1/6 1 28 41/15 0/1 11 1 11/4 (0/1,1/5) 0 28 25/9 2/7 1 14 39/14 (1/3,7/20) 0 28 14/5 1/2 1 28 17/6 (0/1,1/1) 0 28 20/7 1/2 1 28 3/1 1/1 1 7 22/7 1/0 1 28 85/27 1/0 25 1 63/20 (-19/1,1/0) 0 28 41/13 -6/1 1 14 19/6 (-2/1,-1/1) 0 28 35/11 0/1 1 14 16/5 1/0 1 4 45/14 (-1/1,1/0) 0 28 29/9 0/1 1 14 100/31 -1/2 1 28 171/53 0/1 3 1 71/22 (0/1,1/1) 0 28 42/13 1/0 1 28 13/4 (-1/1,-1/2) 0 28 36/11 -1/2 1 28 23/7 0/1 1 14 33/10 (-1/9,0/1) 0 28 43/13 0/1 13 1 10/3 1/4 1 28 17/5 2/3 1 14 41/12 (11/12,1/1) 0 28 65/19 1/1 18 1 24/7 7/6 1 28 7/2 (-1/1,1/0) 0 28 46/13 1/0 1 28 131/37 1/0 1 1 85/24 (-1/1,1/0) 0 28 39/11 0/1 1 14 32/9 -3/2 1 28 25/7 0/1 1 7 43/12 (-1/1,0/1) 0 28 18/5 -1/2 1 28 11/3 0/1 3 2 26/7 1/4 1 28 15/4 (0/1,1/3) 0 28 34/9 3/10 1 28 19/5 1/2 1 7 42/11 1/2 1 28 23/6 (1/3,1/2) 0 28 4/1 1/0 1 28 25/6 (0/1,1/1) 0 28 21/5 0/1 1 14 38/9 1/2 1 28 55/13 1/1 2 7 17/4 0/1 2 4 81/19 1/5 2 7 64/15 1/6 1 28 47/11 2/7 1 14 30/7 1/4 1 28 13/3 1/2 1 7 22/5 1/2 1 28 9/2 (2/3,1/1) 0 28 23/5 1/1 5 1 14/3 3/2 1 28 19/4 (2/1,3/1) 0 28 24/5 1/0 1 28 5/1 0/1 1 14 16/3 1/2 1 28 27/5 1/2 1 7 11/2 (1/1,2/1) 0 28 17/3 1/1 2 7 23/4 (-1/1,1/0) 0 28 6/1 0/1 1 4 19/3 2/3 1 14 13/2 (0/1,1/3) 0 28 20/3 3/2 1 28 47/7 4/1 1 14 27/4 (-1/1,0/1) 0 28 7/1 0/1 1 7 15/2 (1/2,1/1) 0 28 8/1 1/2 1 28 9/1 0/1 1 14 10/1 1/0 1 28 1/0 (0/1,1/1) 0 28 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(359,-32,258,-23) (0/1,1/10) -> (32/23,39/28) Glide Reflection Matrix(255,-26,304,-31) (1/10,1/9) -> (5/6,21/25) Glide Reflection Matrix(353,-40,150,-17) (1/9,1/8) -> (7/3,33/14) Glide Reflection Matrix(197,-26,644,-85) (1/8,2/15) -> (11/36,4/13) Glide Reflection Matrix(443,-60,790,-107) (2/15,1/7) -> (14/25,23/41) Glide Reflection Matrix(437,-66,682,-103) (1/7,2/13) -> (16/25,25/39) Hyperbolic Matrix(193,-30,534,-83) (2/13,1/6) -> (13/36,4/11) Hyperbolic Matrix(525,-92,428,-75) (1/6,3/17) -> (11/9,27/22) Hyperbolic Matrix(189,-34,428,-77) (3/17,2/11) -> (11/25,4/9) Glide Reflection Matrix(709,-132,188,-35) (2/11,3/16) -> (15/4,34/9) Hyperbolic Matrix(519,-98,376,-71) (3/16,1/5) -> (11/8,29/21) Glide Reflection Matrix(511,-106,834,-173) (1/5,4/19) -> (30/49,19/31) Hyperbolic Matrix(463,-98,600,-127) (4/19,3/14) -> (10/13,17/22) Glide Reflection Matrix(139,-30,644,-139) (3/14,5/23) -> (3/14,5/23) Reflection Matrix(91,-20,414,-91) (5/23,2/9) -> (5/23,2/9) Reflection Matrix(365,-82,138,-31) (2/9,3/13) -> (29/11,8/3) Hyperbolic Matrix(499,-116,228,-53) (3/13,4/17) -> (24/11,11/5) Hyperbolic Matrix(497,-118,1630,-387) (4/17,5/21) -> (7/23,18/59) Hyperbolic Matrix(1039,-250,586,-141) (5/21,1/4) -> (39/22,55/31) Hyperbolic Matrix(133,-34,90,-23) (1/4,5/19) -> (19/13,3/2) Hyperbolic Matrix(709,-188,132,-35) (5/19,4/15) -> (16/3,27/5) Hyperbolic Matrix(133,-36,484,-131) (4/15,3/11) -> (3/11,8/29) Parabolic Matrix(745,-206,264,-73) (8/29,5/18) -> (14/5,17/6) Glide Reflection Matrix(2977,-830,1840,-513) (5/18,12/43) -> (55/34,34/21) Glide Reflection Matrix(701,-196,1706,-477) (12/43,7/25) -> (16/39,7/17) Glide Reflection Matrix(1269,-356,524,-147) (7/25,2/7) -> (46/19,17/7) Hyperbolic Matrix(173,-50,218,-63) (2/7,5/17) -> (15/19,4/5) Hyperbolic Matrix(215,-64,346,-103) (5/17,3/10) -> (13/21,5/8) Glide Reflection Matrix(989,-300,300,-91) (3/10,7/23) -> (23/7,33/10) Hyperbolic Matrix(2745,-838,3862,-1179) (18/59,11/36) -> (27/38,32/45) Hyperbolic Matrix(1327,-410,1026,-317) (4/13,9/29) -> (53/41,22/17) Hyperbolic Matrix(1539,-478,982,-305) (9/29,5/16) -> (47/30,11/7) Hyperbolic Matrix(1193,-376,936,-295) (5/16,6/19) -> (14/11,51/40) Hyperbolic Matrix(43,-14,126,-41) (6/19,1/3) -> (1/3,8/23) Parabolic Matrix(2493,-868,1370,-477) (8/23,15/43) -> (20/11,71/39) Glide Reflection Matrix(3529,-1232,1120,-391) (15/43,7/20) -> (63/20,41/13) Hyperbolic Matrix(787,-276,1286,-451) (7/20,6/17) -> (11/18,30/49) Glide Reflection Matrix(619,-220,166,-59) (6/17,5/14) -> (26/7,15/4) Glide Reflection Matrix(535,-192,248,-89) (5/14,9/25) -> (15/7,13/6) Hyperbolic Matrix(1193,-430,824,-297) (9/25,13/36) -> (13/9,29/20) Glide Reflection Matrix(779,-286,286,-105) (4/11,7/19) -> (19/7,30/11) Hyperbolic Matrix(285,-106,164,-61) (7/19,3/8) -> (19/11,7/4) Glide Reflection Matrix(365,-138,82,-31) (3/8,8/21) -> (22/5,9/2) Hyperbolic Matrix(649,-248,526,-201) (8/21,13/34) -> (16/13,5/4) Glide Reflection Matrix(1053,-404,404,-155) (13/34,5/13) -> (13/5,47/18) Hyperbolic Matrix(445,-172,282,-109) (5/13,7/18) -> (11/7,19/12) Glide Reflection Matrix(81,-32,200,-79) (7/18,2/5) -> (2/5,9/22) Parabolic Matrix(1987,-814,476,-195) (9/22,25/61) -> (25/6,21/5) Glide Reflection Matrix(4489,-1840,3296,-1351) (25/61,16/39) -> (64/47,15/11) Hyperbolic Matrix(1269,-524,356,-147) (7/17,12/29) -> (32/9,25/7) Hyperbolic Matrix(357,-148,316,-131) (12/29,5/12) -> (9/8,8/7) Hyperbolic Matrix(277,-116,394,-165) (5/12,8/19) -> (7/10,12/17) Glide Reflection Matrix(393,-166,670,-283) (8/19,3/7) -> (17/29,10/17) Hyperbolic Matrix(273,-118,118,-51) (3/7,7/16) -> (23/10,7/3) Hyperbolic Matrix(583,-256,312,-137) (7/16,11/25) -> (13/7,15/8) Hyperbolic Matrix(619,-276,388,-173) (4/9,13/29) -> (43/27,8/5) Hyperbolic Matrix(1313,-590,928,-417) (13/29,9/20) -> (41/29,17/12) Glide Reflection Matrix(811,-366,308,-139) (9/20,5/11) -> (21/8,29/11) Glide Reflection Matrix(499,-228,116,-53) (5/11,6/13) -> (30/7,13/3) Hyperbolic Matrix(535,-248,192,-89) (6/13,1/2) -> (39/14,14/5) Hyperbolic Matrix(583,-312,256,-137) (1/2,7/13) -> (25/11,41/18) Hyperbolic Matrix(2181,-1178,1346,-727) (7/13,13/24) -> (81/50,47/29) Hyperbolic Matrix(871,-474,362,-197) (13/24,6/11) -> (12/5,53/22) Hyperbolic Matrix(181,-100,324,-179) (6/11,5/9) -> (5/9,14/25) Parabolic Matrix(1219,-684,180,-101) (23/41,9/16) -> (27/4,7/1) Hyperbolic Matrix(215,-122,178,-101) (9/16,4/7) -> (6/5,17/14) Hyperbolic Matrix(285,-164,106,-61) (4/7,11/19) -> (8/3,19/7) Glide Reflection Matrix(389,-226,284,-165) (11/19,7/12) -> (15/11,11/8) Glide Reflection Matrix(743,-434,1272,-743) (7/12,31/53) -> (7/12,31/53) Reflection Matrix(2543,-1488,4346,-2543) (31/53,24/41) -> (31/53,24/41) Reflection Matrix(601,-352,70,-41) (24/41,17/29) -> (8/1,9/1) Glide Reflection Matrix(175,-104,106,-63) (10/17,3/5) -> (18/11,5/3) Glide Reflection Matrix(175,-106,104,-63) (3/5,11/18) -> (5/3,17/10) Glide Reflection Matrix(4199,-2576,1736,-1065) (19/31,27/44) -> (29/12,75/31) Hyperbolic Matrix(833,-512,1352,-831) (27/44,8/13) -> (8/13,37/60) Parabolic Matrix(2493,-1538,2044,-1261) (37/60,29/47) -> (39/32,11/9) Glide Reflection Matrix(2181,-1346,1178,-727) (29/47,21/34) -> (37/20,13/7) Hyperbolic Matrix(2977,-1840,830,-513) (21/34,34/55) -> (43/12,18/5) Glide Reflection Matrix(5641,-3488,4048,-2503) (34/55,47/76) -> (39/28,46/33) Hyperbolic Matrix(3633,-2248,2248,-1391) (47/76,13/21) -> (21/13,97/60) Hyperbolic Matrix(619,-390,446,-281) (5/8,12/19) -> (18/13,25/18) Hyperbolic Matrix(445,-282,172,-109) (12/19,7/11) -> (18/7,13/5) Glide Reflection Matrix(1539,-982,478,-305) (7/11,23/36) -> (45/14,29/9) Hyperbolic Matrix(1639,-1048,1162,-743) (23/36,16/25) -> (31/22,24/17) Glide Reflection Matrix(2423,-1554,1330,-853) (25/39,9/14) -> (51/28,31/17) Hyperbolic Matrix(307,-198,476,-307) (9/14,11/17) -> (9/14,11/17) Reflection Matrix(67,-44,102,-67) (11/17,2/3) -> (11/17,2/3) Reflection Matrix(133,-90,34,-23) (2/3,11/16) -> (23/6,4/1) Hyperbolic Matrix(763,-526,132,-91) (11/16,20/29) -> (23/4,6/1) Glide Reflection Matrix(629,-434,100,-69) (20/29,9/13) -> (6/1,19/3) Glide Reflection Matrix(429,-298,298,-207) (9/13,7/10) -> (23/16,13/9) Hyperbolic Matrix(1313,-928,590,-417) (12/17,29/41) -> (20/9,29/13) Glide Reflection Matrix(2263,-1602,1770,-1253) (29/41,17/24) -> (23/18,55/43) Hyperbolic Matrix(1639,-1162,1048,-743) (17/24,22/31) -> (25/16,36/23) Glide Reflection Matrix(1965,-1396,556,-395) (22/31,27/38) -> (7/2,46/13) Hyperbolic Matrix(3993,-2840,1832,-1303) (32/45,5/7) -> (85/39,24/11) Hyperbolic Matrix(619,-446,390,-281) (5/7,13/18) -> (19/12,27/17) Hyperbolic Matrix(1885,-1364,1364,-987) (13/18,21/29) -> (29/21,47/34) Hyperbolic Matrix(519,-376,98,-71) (21/29,8/11) -> (5/1,16/3) Glide Reflection Matrix(389,-284,226,-165) (8/11,11/15) -> (12/7,19/11) Glide Reflection Matrix(97,-72,128,-95) (11/15,3/4) -> (3/4,13/17) Parabolic Matrix(4473,-3424,1744,-1335) (13/17,36/47) -> (100/39,59/23) Hyperbolic Matrix(2125,-1628,1458,-1117) (36/47,23/30) -> (16/11,35/24) Glide Reflection Matrix(1013,-778,444,-341) (23/30,10/13) -> (41/18,16/7) Glide Reflection Matrix(1327,-1026,410,-317) (17/22,24/31) -> (42/13,13/4) Hyperbolic Matrix(567,-440,442,-343) (24/31,7/9) -> (32/25,9/7) Glide Reflection Matrix(567,-442,440,-343) (7/9,25/32) -> (9/7,31/24) Glide Reflection Matrix(2263,-1770,1602,-1253) (25/32,18/23) -> (24/17,65/46) Hyperbolic Matrix(4617,-3616,2606,-2041) (18/23,47/60) -> (62/35,39/22) Glide Reflection Matrix(5809,-4552,4552,-3567) (47/60,29/37) -> (37/29,97/76) Hyperbolic Matrix(1193,-936,376,-295) (29/37,11/14) -> (19/6,35/11) Hyperbolic Matrix(1035,-814,1316,-1035) (11/14,37/47) -> (11/14,37/47) Reflection Matrix(2443,-1924,3102,-2443) (37/47,26/33) -> (37/47,26/33) Reflection Matrix(533,-420,250,-197) (26/33,15/19) -> (2/1,15/7) Glide Reflection Matrix(649,-526,248,-201) (4/5,13/16) -> (34/13,21/8) Glide Reflection Matrix(525,-428,92,-75) (13/16,9/11) -> (17/3,23/4) Hyperbolic Matrix(215,-178,122,-101) (9/11,5/6) -> (7/4,23/13) Hyperbolic Matrix(1065,-896,334,-281) (21/25,16/19) -> (35/11,16/5) Glide Reflection Matrix(1367,-1152,426,-359) (16/19,27/32) -> (16/5,45/14) Glide Reflection Matrix(1063,-898,728,-615) (27/32,11/13) -> (35/24,19/13) Glide Reflection Matrix(575,-488,152,-129) (11/13,6/7) -> (34/9,19/5) Hyperbolic Matrix(181,-156,210,-181) (6/7,13/15) -> (6/7,13/15) Reflection Matrix(209,-182,240,-209) (13/15,7/8) -> (13/15,7/8) Reflection Matrix(357,-316,148,-131) (7/8,1/1) -> (41/17,29/12) Hyperbolic Matrix(291,-326,158,-177) (1/1,9/8) -> (11/6,35/19) Hyperbolic Matrix(209,-240,182,-209) (8/7,15/13) -> (8/7,15/13) Reflection Matrix(181,-210,156,-181) (15/13,7/6) -> (15/13,7/6) Reflection Matrix(283,-332,52,-61) (7/6,13/11) -> (27/5,11/2) Hyperbolic Matrix(975,-1154,256,-303) (13/11,32/27) -> (19/5,42/11) Glide Reflection Matrix(1845,-2188,1178,-1397) (32/27,19/16) -> (36/23,47/30) Glide Reflection Matrix(1663,-1978,1304,-1551) (19/16,25/21) -> (51/40,37/29) Glide Reflection Matrix(255,-304,26,-31) (25/21,6/5) -> (9/1,10/1) Glide Reflection Matrix(631,-768,152,-185) (17/14,28/23) -> (4/1,25/6) Hyperbolic Matrix(2449,-2984,1918,-2337) (28/23,39/32) -> (60/47,23/18) Glide Reflection Matrix(729,-896,502,-617) (27/22,16/13) -> (29/20,16/11) Glide Reflection Matrix(173,-218,50,-63) (5/4,14/11) -> (24/7,7/2) Hyperbolic Matrix(23863,-30458,18696,-23863) (97/76,157/123) -> (97/76,157/123) Reflection Matrix(14759,-18840,11562,-14759) (157/123,60/47) -> (157/123,60/47) Reflection Matrix(2359,-3018,1056,-1351) (55/43,32/25) -> (29/13,38/17) Glide Reflection Matrix(2981,-3852,1612,-2083) (31/24,53/41) -> (61/33,37/20) Hyperbolic Matrix(463,-600,98,-127) (22/17,13/10) -> (14/3,19/4) Glide Reflection Matrix(97,-128,72,-95) (13/10,4/3) -> (4/3,19/14) Parabolic Matrix(403,-548,214,-291) (19/14,34/25) -> (15/8,2/1) Glide Reflection Matrix(2087,-2840,546,-743) (34/25,49/36) -> (42/11,23/6) Glide Reflection Matrix(8135,-11074,5976,-8135) (49/36,113/83) -> (49/36,113/83) Reflection Matrix(10623,-14464,7802,-10623) (113/83,64/47) -> (113/83,64/47) Reflection Matrix(4419,-6110,3196,-4419) (47/34,65/47) -> (47/34,65/47) Reflection Matrix(1691,-2340,1222,-1691) (65/47,18/13) -> (65/47,18/13) Reflection Matrix(891,-1238,398,-553) (25/18,32/23) -> (38/17,9/4) Hyperbolic Matrix(2993,-4174,702,-979) (46/33,7/5) -> (81/19,64/15) Hyperbolic Matrix(1675,-2356,396,-557) (7/5,38/27) -> (38/9,55/13) Hyperbolic Matrix(4279,-6024,1768,-2489) (38/27,31/22) -> (121/50,46/19) Hyperbolic Matrix(2993,-4230,1880,-2657) (65/46,41/29) -> (35/22,43/27) Glide Reflection Matrix(277,-394,116,-165) (17/12,10/7) -> (19/8,12/5) Glide Reflection Matrix(461,-660,322,-461) (10/7,33/23) -> (10/7,33/23) Reflection Matrix(1057,-1518,736,-1057) (33/23,23/16) -> (33/23,23/16) Reflection Matrix(67,-102,44,-67) (3/2,17/11) -> (3/2,17/11) Reflection Matrix(307,-476,198,-307) (17/11,14/9) -> (17/11,14/9) Reflection Matrix(437,-682,66,-103) (14/9,25/16) -> (13/2,20/3) Hyperbolic Matrix(6401,-10174,3958,-6291) (27/17,62/39) -> (76/47,131/81) Hyperbolic Matrix(259,-412,22,-35) (62/39,35/22) -> (10/1,1/0) Glide Reflection Matrix(215,-346,64,-103) (8/5,21/13) -> (10/3,17/5) Glide Reflection Matrix(20759,-33562,12840,-20759) (97/60,173/107) -> (97/60,173/107) Reflection Matrix(16263,-26296,10058,-16263) (173/107,76/47) -> (173/107,76/47) Reflection Matrix(7831,-12666,3594,-5813) (131/81,55/34) -> (61/28,85/39) Hyperbolic Matrix(3591,-5816,1112,-1801) (34/21,81/50) -> (71/22,42/13) Hyperbolic Matrix(833,-1352,512,-831) (47/29,13/8) -> (13/8,57/35) Parabolic Matrix(2791,-4546,1576,-2567) (57/35,44/27) -> (23/13,62/35) Glide Reflection Matrix(1661,-2708,468,-763) (44/27,31/19) -> (39/11,32/9) Hyperbolic Matrix(511,-834,106,-173) (31/19,18/11) -> (24/5,5/1) Hyperbolic Matrix(393,-670,166,-283) (17/10,12/7) -> (26/11,19/8) Hyperbolic Matrix(1089,-1934,424,-753) (55/31,16/9) -> (59/23,18/7) Glide Reflection Matrix(181,-324,100,-179) (16/9,9/5) -> (9/5,20/11) Parabolic Matrix(3415,-6218,1568,-2855) (71/39,51/28) -> (37/17,61/28) Glide Reflection Matrix(297,-542,40,-73) (31/17,11/6) -> (7/1,15/2) Glide Reflection Matrix(1181,-2178,276,-509) (35/19,24/13) -> (47/11,30/7) Glide Reflection Matrix(3677,-6796,1140,-2107) (24/13,61/33) -> (29/9,100/31) Hyperbolic Matrix(1147,-2494,476,-1035) (13/6,37/17) -> (53/22,41/17) Glide Reflection Matrix(227,-502,52,-115) (11/5,20/9) -> (13/3,22/5) Glide Reflection Matrix(189,-428,34,-77) (9/4,25/11) -> (11/2,17/3) Glide Reflection Matrix(545,-1248,238,-545) (16/7,39/17) -> (16/7,39/17) Reflection Matrix(781,-1794,340,-781) (39/17,23/10) -> (39/17,23/10) Reflection Matrix(1651,-3894,700,-1651) (33/14,59/25) -> (33/14,59/25) Reflection Matrix(1299,-3068,550,-1299) (59/25,26/11) -> (59/25,26/11) Reflection Matrix(4585,-11094,1294,-3131) (75/31,121/50) -> (85/24,39/11) Hyperbolic Matrix(81,-200,32,-79) (17/7,5/2) -> (5/2,23/9) Parabolic Matrix(787,-2014,220,-563) (23/9,41/16) -> (25/7,43/12) Glide Reflection Matrix(4511,-11562,1760,-4511) (41/16,141/55) -> (41/16,141/55) Reflection Matrix(10999,-28200,4290,-10999) (141/55,100/39) -> (141/55,100/39) Reflection Matrix(2915,-7614,1116,-2915) (47/18,81/31) -> (47/18,81/31) Reflection Matrix(2107,-5508,806,-2107) (81/31,34/13) -> (81/31,34/13) Reflection Matrix(901,-2460,330,-901) (30/11,41/15) -> (30/11,41/15) Reflection Matrix(329,-902,120,-329) (41/15,11/4) -> (41/15,11/4) Reflection Matrix(193,-534,30,-83) (11/4,25/9) -> (19/3,13/2) Hyperbolic Matrix(607,-1688,178,-495) (25/9,39/14) -> (17/5,41/12) Glide Reflection Matrix(277,-788,58,-165) (17/6,20/7) -> (19/4,24/5) Glide Reflection Matrix(43,-126,14,-41) (20/7,3/1) -> (3/1,22/7) Parabolic Matrix(1189,-3740,378,-1189) (22/7,85/27) -> (22/7,85/27) Reflection Matrix(3401,-10710,1080,-3401) (85/27,63/20) -> (85/27,63/20) Reflection Matrix(633,-2000,94,-297) (41/13,19/6) -> (47/7,27/4) Glide Reflection Matrix(10601,-34200,3286,-10601) (100/31,171/53) -> (100/31,171/53) Reflection Matrix(7525,-24282,2332,-7525) (171/53,71/22) -> (171/53,71/22) Reflection Matrix(197,-644,26,-85) (13/4,36/11) -> (15/2,8/1) Glide Reflection Matrix(497,-1630,118,-387) (36/11,23/7) -> (21/5,38/9) Hyperbolic Matrix(859,-2838,260,-859) (33/10,43/13) -> (33/10,43/13) Reflection Matrix(259,-860,78,-259) (43/13,10/3) -> (43/13,10/3) Reflection Matrix(1559,-5330,456,-1559) (41/12,65/19) -> (41/12,65/19) Reflection Matrix(911,-3120,266,-911) (65/19,24/7) -> (65/19,24/7) Reflection Matrix(3405,-12052,962,-3405) (46/13,131/37) -> (46/13,131/37) Reflection Matrix(6289,-22270,1776,-6289) (131/37,85/24) -> (131/37,85/24) Reflection Matrix(133,-484,36,-131) (18/5,11/3) -> (11/3,26/7) Parabolic Matrix(545,-2312,128,-543) (55/13,17/4) -> (17/4,81/19) Parabolic Matrix(925,-3948,138,-589) (64/15,47/11) -> (20/3,47/7) Glide Reflection Matrix(91,-414,20,-91) (9/2,23/5) -> (9/2,23/5) Reflection Matrix(139,-644,30,-139) (23/5,14/3) -> (23/5,14/3) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,2,-1) (-1/1,1/0) -> (0/1,1/1) Matrix(-1,0,2,1) -> Matrix(1,0,4,-1) (-1/1,0/1) -> (0/1,1/2) Matrix(359,-32,258,-23) -> Matrix(7,-4,26,-15) Matrix(255,-26,304,-31) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(353,-40,150,-17) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(197,-26,644,-85) -> Matrix(7,-2,10,-3) Matrix(443,-60,790,-107) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(437,-66,682,-103) -> Matrix(29,-10,32,-11) Matrix(193,-30,534,-83) -> Matrix(5,-2,-2,1) Matrix(525,-92,428,-75) -> Matrix(15,-8,2,-1) Matrix(189,-34,428,-77) -> Matrix(17,-10,22,-13) Matrix(709,-132,188,-35) -> Matrix(3,-2,14,-9) Matrix(519,-98,376,-71) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(511,-106,834,-173) -> Matrix(11,-8,18,-13) 2/3 Matrix(463,-98,600,-127) -> Matrix(5,-4,16,-13) Matrix(139,-30,644,-139) -> Matrix(15,-14,16,-15) (3/14,5/23) -> (7/8,1/1) Matrix(91,-20,414,-91) -> Matrix(5,-6,4,-5) (5/23,2/9) -> (1/1,3/2) Matrix(365,-82,138,-31) -> Matrix(1,-2,2,-3) 1/1 Matrix(499,-116,228,-53) -> Matrix(1,2,0,1) 1/0 Matrix(497,-118,1630,-387) -> Matrix(3,2,4,3) Matrix(1039,-250,586,-141) -> Matrix(1,0,-4,1) 0/1 Matrix(133,-34,90,-23) -> Matrix(5,-2,8,-3) 1/2 Matrix(709,-188,132,-35) -> Matrix(5,-2,8,-3) 1/2 Matrix(133,-36,484,-131) -> Matrix(21,-10,40,-19) 1/2 Matrix(745,-206,264,-73) -> Matrix(11,-6,20,-11) *** -> (1/2,3/5) Matrix(2977,-830,1840,-513) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(701,-196,1706,-477) -> Matrix(11,-6,20,-11) *** -> (1/2,3/5) Matrix(1269,-356,524,-147) -> Matrix(7,-4,-12,7) Matrix(173,-50,218,-63) -> Matrix(7,-4,16,-9) 1/2 Matrix(215,-64,346,-103) -> Matrix(7,-4,12,-7) *** -> (1/2,2/3) Matrix(989,-300,300,-91) -> Matrix(3,-2,-16,11) Matrix(2745,-838,3862,-1179) -> Matrix(23,-16,-10,7) Matrix(1327,-410,1026,-317) -> Matrix(3,-2,-4,3) Matrix(1539,-478,982,-305) -> Matrix(7,-6,6,-5) 1/1 Matrix(1193,-376,936,-295) -> Matrix(17,-12,-24,17) Matrix(43,-14,126,-41) -> Matrix(5,-4,4,-3) 1/1 Matrix(2493,-868,1370,-477) -> Matrix(1,-4,6,-25) Matrix(3529,-1232,1120,-391) -> Matrix(1,-14,0,1) 1/0 Matrix(787,-276,1286,-451) -> Matrix(1,4,2,7) Matrix(619,-220,166,-59) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(535,-192,248,-89) -> Matrix(3,-2,2,-1) 1/1 Matrix(1193,-430,824,-297) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(779,-286,286,-105) -> Matrix(1,0,-4,1) 0/1 Matrix(285,-106,164,-61) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(365,-138,82,-31) -> Matrix(5,-2,8,-3) 1/2 Matrix(649,-248,526,-201) -> Matrix(9,-4,2,-1) Matrix(1053,-404,404,-155) -> Matrix(7,-4,16,-9) 1/2 Matrix(445,-172,282,-109) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(81,-32,200,-79) -> Matrix(5,-2,8,-3) 1/2 Matrix(1987,-814,476,-195) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(4489,-1840,3296,-1351) -> Matrix(3,-2,8,-5) 1/2 Matrix(1269,-524,356,-147) -> Matrix(3,-2,-4,3) Matrix(357,-148,316,-131) -> Matrix(1,-2,2,-3) 1/1 Matrix(277,-116,394,-165) -> Matrix(3,-2,-2,1) Matrix(393,-166,670,-283) -> Matrix(7,-4,16,-9) 1/2 Matrix(273,-118,118,-51) -> Matrix(3,-2,2,-1) 1/1 Matrix(583,-256,312,-137) -> Matrix(3,-2,2,-1) 1/1 Matrix(619,-276,388,-173) -> Matrix(5,-4,4,-3) 1/1 Matrix(1313,-590,928,-417) -> Matrix(11,-8,26,-19) Matrix(811,-366,308,-139) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(499,-228,116,-53) -> Matrix(5,-4,14,-11) Matrix(535,-248,192,-89) -> Matrix(7,-6,20,-17) Matrix(583,-312,256,-137) -> Matrix(1,0,-2,1) 0/1 Matrix(2181,-1178,1346,-727) -> Matrix(1,4,0,1) 1/0 Matrix(871,-474,362,-197) -> Matrix(1,-2,0,1) 1/0 Matrix(181,-100,324,-179) -> Matrix(1,0,2,1) 0/1 Matrix(1219,-684,180,-101) -> Matrix(1,0,-2,1) 0/1 Matrix(215,-122,178,-101) -> Matrix(3,-2,2,-1) 1/1 Matrix(285,-164,106,-61) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(389,-226,284,-165) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(743,-434,1272,-743) -> Matrix(1,0,6,-1) (7/12,31/53) -> (0/1,1/3) Matrix(2543,-1488,4346,-2543) -> Matrix(17,-6,48,-17) (31/53,24/41) -> (1/3,3/8) Matrix(601,-352,70,-41) -> Matrix(5,-2,2,-1) Matrix(175,-104,106,-63) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(175,-106,104,-63) -> Matrix(3,-2,-2,1) Matrix(4199,-2576,1736,-1065) -> Matrix(7,-4,-12,7) Matrix(833,-512,1352,-831) -> Matrix(13,-8,18,-11) 2/3 Matrix(2493,-1538,2044,-1261) -> Matrix(11,-8,4,-3) Matrix(2181,-1346,1178,-727) -> Matrix(3,-2,8,-5) 1/2 Matrix(2977,-1840,830,-513) -> Matrix(3,-2,-2,1) Matrix(5641,-3488,4048,-2503) -> Matrix(1,0,2,1) 0/1 Matrix(3633,-2248,2248,-1391) -> Matrix(13,-10,4,-3) Matrix(619,-390,446,-281) -> Matrix(5,-4,24,-19) Matrix(445,-282,172,-109) -> Matrix(5,-4,16,-13) Matrix(1539,-982,478,-305) -> Matrix(7,-6,-8,7) Matrix(1639,-1048,1162,-743) -> Matrix(7,-6,22,-19) Matrix(2423,-1554,1330,-853) -> Matrix(11,-10,54,-49) Matrix(307,-198,476,-307) -> Matrix(29,-28,30,-29) (9/14,11/17) -> (14/15,1/1) Matrix(67,-44,102,-67) -> Matrix(5,-6,4,-5) (11/17,2/3) -> (1/1,3/2) Matrix(133,-90,34,-23) -> Matrix(1,-2,2,-3) 1/1 Matrix(763,-526,132,-91) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(629,-434,100,-69) -> Matrix(1,-2,2,-5) Matrix(429,-298,298,-207) -> Matrix(1,-6,2,-11) Matrix(1313,-928,590,-417) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(2263,-1602,1770,-1253) -> Matrix(1,8,-2,-15) Matrix(1639,-1162,1048,-743) -> Matrix(5,14,4,11) Matrix(1965,-1396,556,-395) -> Matrix(1,2,0,1) 1/0 Matrix(3993,-2840,1832,-1303) -> Matrix(7,12,4,7) Matrix(619,-446,390,-281) -> Matrix(1,2,0,1) 1/0 Matrix(1885,-1364,1364,-987) -> Matrix(1,0,0,1) Matrix(519,-376,98,-71) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(389,-284,226,-165) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(97,-72,128,-95) -> Matrix(1,0,4,1) 0/1 Matrix(4473,-3424,1744,-1335) -> Matrix(1,0,-2,1) 0/1 Matrix(2125,-1628,1458,-1117) -> Matrix(7,-2,10,-3) Matrix(1013,-778,444,-341) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1327,-1026,410,-317) -> Matrix(5,-2,-2,1) Matrix(567,-440,442,-343) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(567,-442,440,-343) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(2263,-1770,1602,-1253) -> Matrix(7,-2,18,-5) 1/3 Matrix(4617,-3616,2606,-2041) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(5809,-4552,4552,-3567) -> Matrix(11,-2,-16,3) Matrix(1193,-936,376,-295) -> Matrix(1,0,-4,1) 0/1 Matrix(1035,-814,1316,-1035) -> Matrix(13,-4,42,-13) (11/14,37/47) -> (2/7,1/3) Matrix(2443,-1924,3102,-2443) -> Matrix(41,-14,120,-41) (37/47,26/33) -> (1/3,7/20) Matrix(533,-420,250,-197) -> Matrix(17,-6,14,-5) Matrix(649,-526,248,-201) -> Matrix(11,-6,20,-11) *** -> (1/2,3/5) Matrix(525,-428,92,-75) -> Matrix(7,-4,2,-1) Matrix(215,-178,122,-101) -> Matrix(3,-2,-4,3) Matrix(1065,-896,334,-281) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(1367,-1152,426,-359) -> Matrix(5,-4,-4,3) Matrix(1063,-898,728,-615) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(575,-488,152,-129) -> Matrix(5,-4,14,-11) Matrix(181,-156,210,-181) -> Matrix(15,-14,16,-15) (6/7,13/15) -> (7/8,1/1) Matrix(209,-182,240,-209) -> Matrix(15,-16,14,-15) (13/15,7/8) -> (1/1,8/7) Matrix(357,-316,148,-131) -> Matrix(3,-4,-2,3) Matrix(291,-326,158,-177) -> Matrix(3,-2,8,-5) 1/2 Matrix(209,-240,182,-209) -> Matrix(15,-14,16,-15) (8/7,15/13) -> (7/8,1/1) Matrix(181,-210,156,-181) -> Matrix(11,-12,10,-11) (15/13,7/6) -> (1/1,6/5) Matrix(283,-332,52,-61) -> Matrix(3,-4,4,-5) 1/1 Matrix(975,-1154,256,-303) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1845,-2188,1178,-1397) -> Matrix(13,-22,10,-17) Matrix(1663,-1978,1304,-1551) -> Matrix(3,-4,-4,5) Matrix(255,-304,26,-31) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(631,-768,152,-185) -> Matrix(1,-2,2,-3) 1/1 Matrix(2449,-2984,1918,-2337) -> Matrix(5,-12,-8,19) Matrix(729,-896,502,-617) -> Matrix(1,-2,2,-5) Matrix(173,-218,50,-63) -> Matrix(1,2,0,1) 1/0 Matrix(23863,-30458,18696,-23863) -> Matrix(77,52,-114,-77) (97/76,157/123) -> (-13/19,-2/3) Matrix(14759,-18840,11562,-14759) -> Matrix(55,36,-84,-55) (157/123,60/47) -> (-2/3,-9/14) Matrix(2359,-3018,1056,-1351) -> Matrix(21,10,-2,-1) Matrix(2981,-3852,1612,-2083) -> Matrix(1,0,4,1) 0/1 Matrix(463,-600,98,-127) -> Matrix(3,2,2,1) Matrix(97,-128,72,-95) -> Matrix(1,0,6,1) 0/1 Matrix(403,-548,214,-291) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(2087,-2840,546,-743) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(8135,-11074,5976,-8135) -> Matrix(7,-2,24,-7) (49/36,113/83) -> (1/4,1/3) Matrix(10623,-14464,7802,-10623) -> Matrix(5,-2,12,-5) (113/83,64/47) -> (1/3,1/2) Matrix(4419,-6110,3196,-4419) -> Matrix(-1,0,6,1) (47/34,65/47) -> (-1/3,0/1) Matrix(1691,-2340,1222,-1691) -> Matrix(1,0,12,-1) (65/47,18/13) -> (0/1,1/6) Matrix(891,-1238,398,-553) -> Matrix(17,-4,-4,1) Matrix(2993,-4174,702,-979) -> Matrix(7,-2,32,-9) 1/4 Matrix(1675,-2356,396,-557) -> Matrix(5,-2,8,-3) 1/2 Matrix(4279,-6024,1768,-2489) -> Matrix(1,0,-4,1) 0/1 Matrix(2993,-4230,1880,-2657) -> Matrix(11,-4,8,-3) Matrix(277,-394,116,-165) -> Matrix(5,-2,2,-1) Matrix(461,-660,322,-461) -> Matrix(17,-8,36,-17) (10/7,33/23) -> (4/9,1/2) Matrix(1057,-1518,736,-1057) -> Matrix(35,-18,68,-35) (33/23,23/16) -> (1/2,9/17) Matrix(67,-102,44,-67) -> Matrix(5,-4,6,-5) (3/2,17/11) -> (2/3,1/1) Matrix(307,-476,198,-307) -> Matrix(17,-18,16,-17) (17/11,14/9) -> (1/1,9/8) Matrix(437,-682,66,-103) -> Matrix(5,-6,6,-7) 1/1 Matrix(6401,-10174,3958,-6291) -> Matrix(9,-14,2,-3) Matrix(259,-412,22,-35) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(215,-346,64,-103) -> Matrix(1,-2,2,-5) Matrix(20759,-33562,12840,-20759) -> Matrix(23,-88,6,-23) (97/60,173/107) -> (11/3,4/1) Matrix(16263,-26296,10058,-16263) -> Matrix(17,-72,4,-17) (173/107,76/47) -> (4/1,9/2) Matrix(7831,-12666,3594,-5813) -> Matrix(7,-30,4,-17) Matrix(3591,-5816,1112,-1801) -> Matrix(1,-4,0,1) 1/0 Matrix(833,-1352,512,-831) -> Matrix(1,-8,0,1) 1/0 Matrix(2791,-4546,1576,-2567) -> Matrix(1,2,-4,-9) Matrix(1661,-2708,468,-763) -> Matrix(1,0,0,1) Matrix(511,-834,106,-173) -> Matrix(1,0,0,1) Matrix(393,-670,166,-283) -> Matrix(1,2,0,1) 1/0 Matrix(1089,-1934,424,-753) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(181,-324,100,-179) -> Matrix(1,0,10,1) 0/1 Matrix(3415,-6218,1568,-2855) -> Matrix(45,-8,28,-5) Matrix(297,-542,40,-73) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(1181,-2178,276,-509) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(3677,-6796,1140,-2107) -> Matrix(1,0,-4,1) 0/1 Matrix(1147,-2494,476,-1035) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(227,-502,52,-115) -> Matrix(1,-2,2,-5) Matrix(189,-428,34,-77) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(545,-1248,238,-545) -> Matrix(-1,0,4,1) (16/7,39/17) -> (-1/2,0/1) Matrix(781,-1794,340,-781) -> Matrix(1,0,6,-1) (39/17,23/10) -> (0/1,1/3) Matrix(1651,-3894,700,-1651) -> Matrix(7,-6,8,-7) (33/14,59/25) -> (3/4,1/1) Matrix(1299,-3068,550,-1299) -> Matrix(5,-6,4,-5) (59/25,26/11) -> (1/1,3/2) Matrix(4585,-11094,1294,-3131) -> Matrix(3,2,-2,-1) -1/1 Matrix(81,-200,32,-79) -> Matrix(1,0,4,1) 0/1 Matrix(787,-2014,220,-563) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(4511,-11562,1760,-4511) -> Matrix(1,0,6,-1) (41/16,141/55) -> (0/1,1/3) Matrix(10999,-28200,4290,-10999) -> Matrix(5,-2,12,-5) (141/55,100/39) -> (1/3,1/2) Matrix(2915,-7614,1116,-2915) -> Matrix(45,-22,92,-45) (47/18,81/31) -> (11/23,1/2) Matrix(2107,-5508,806,-2107) -> Matrix(31,-16,60,-31) (81/31,34/13) -> (1/2,8/15) Matrix(901,-2460,330,-901) -> Matrix(-1,0,12,1) (30/11,41/15) -> (-1/6,0/1) Matrix(329,-902,120,-329) -> Matrix(1,0,10,-1) (41/15,11/4) -> (0/1,1/5) Matrix(193,-534,30,-83) -> Matrix(1,0,-2,1) 0/1 Matrix(607,-1688,178,-495) -> Matrix(13,-4,16,-5) Matrix(277,-788,58,-165) -> Matrix(5,-2,2,-1) Matrix(43,-126,14,-41) -> Matrix(3,-2,2,-1) 1/1 Matrix(1189,-3740,378,-1189) -> Matrix(-1,12,0,1) (22/7,85/27) -> (6/1,1/0) Matrix(3401,-10710,1080,-3401) -> Matrix(1,38,0,-1) (85/27,63/20) -> (-19/1,1/0) Matrix(633,-2000,94,-297) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(10601,-34200,3286,-10601) -> Matrix(-1,0,4,1) (100/31,171/53) -> (-1/2,0/1) Matrix(7525,-24282,2332,-7525) -> Matrix(1,0,2,-1) (171/53,71/22) -> (0/1,1/1) Matrix(197,-644,26,-85) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(497,-1630,118,-387) -> Matrix(1,0,4,1) 0/1 Matrix(859,-2838,260,-859) -> Matrix(-1,0,18,1) (33/10,43/13) -> (-1/9,0/1) Matrix(259,-860,78,-259) -> Matrix(1,0,8,-1) (43/13,10/3) -> (0/1,1/4) Matrix(1559,-5330,456,-1559) -> Matrix(23,-22,24,-23) (41/12,65/19) -> (11/12,1/1) Matrix(911,-3120,266,-911) -> Matrix(13,-14,12,-13) (65/19,24/7) -> (1/1,7/6) Matrix(3405,-12052,962,-3405) -> Matrix(1,0,0,-1) (46/13,131/37) -> (0/1,1/0) Matrix(6289,-22270,1776,-6289) -> Matrix(1,2,0,-1) (131/37,85/24) -> (-1/1,1/0) Matrix(133,-484,36,-131) -> Matrix(1,0,6,1) 0/1 Matrix(545,-2312,128,-543) -> Matrix(1,0,4,1) 0/1 Matrix(925,-3948,138,-589) -> Matrix(9,-2,4,-1) Matrix(91,-414,20,-91) -> Matrix(5,-4,6,-5) (9/2,23/5) -> (2/3,1/1) Matrix(139,-644,30,-139) -> Matrix(5,-6,4,-5) (23/5,14/3) -> (1/1,3/2) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.