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 0/1 -1/2 0/1 1/3 -8/17 1/4 1/3 -7/15 1/2 -6/13 1/3 1/2 -11/24 0/1 -5/11 1/4 1/2 -14/31 2/9 1/4 -9/20 2/7 1/3 -13/29 1/4 -30/67 2/7 3/10 -17/38 4/13 1/3 -4/9 1/3 1/2 -15/34 1/3 1/2 -11/25 1/2 1/0 -18/41 -1/2 0/1 -7/16 1/3 1/2 -17/39 1/2 1/0 -10/23 0/1 -13/30 0/1 1/5 -3/7 1/4 -14/33 1/4 2/7 -39/92 2/7 1/3 -25/59 1/4 3/10 -11/26 4/13 1/3 -8/19 1/3 3/8 -13/31 1/4 1/2 -18/43 1/3 1/2 -5/12 2/5 1/2 -22/53 0/1 1/2 -17/41 1/2 -12/29 2/5 1/2 -19/46 1/2 1/1 -26/63 2/3 3/4 -33/80 5/6 1/1 -7/17 1/2 1/0 -16/39 0/1 1/0 -9/22 0/1 -11/27 1/6 -2/5 1/4 1/3 -13/33 3/8 -11/28 1/3 2/5 -9/23 1/4 1/2 -25/64 1/3 -16/41 1/3 1/2 -7/18 0/1 1/3 -19/49 3/8 1/2 -12/31 2/5 1/2 -17/44 3/7 1/2 -22/57 6/13 1/2 -5/13 1/2 -18/47 0/1 1/4 -13/34 0/1 1/3 -8/21 0/1 -19/50 0/1 1/5 -30/79 1/4 1/3 -41/108 2/7 1/3 -11/29 1/4 1/2 -3/8 1/4 1/3 -16/43 1/3 1/2 -13/35 1/4 1/2 -10/27 2/5 1/2 -27/73 1/2 1/0 -17/46 0/1 1/5 -7/19 1/4 -18/49 2/7 3/10 -11/30 5/16 1/3 -4/11 1/3 3/8 -17/47 5/12 1/2 -13/36 0/1 1/3 -9/25 1/2 -23/64 0/1 1/3 -14/39 1/3 1/2 -19/53 1/4 1/2 -5/14 1/3 3/8 -16/45 11/28 2/5 -11/31 5/12 -17/48 1/3 2/5 -23/65 5/12 1/2 -6/17 3/7 1/2 -7/20 1/2 -8/23 1/2 2/3 -1/3 1/4 1/2 -7/22 3/7 4/9 -6/19 1/2 -5/16 3/5 2/3 -19/61 1/2 5/8 -33/106 7/11 2/3 -14/45 2/3 3/4 -9/29 3/4 -4/13 1/2 1/1 -11/36 -1/1 1/0 -7/23 1/0 -17/56 0/1 -10/33 0/1 1/2 -13/43 1/2 1/0 -3/10 0/1 1/0 -8/27 0/1 1/8 -13/44 0/1 1/5 -5/17 1/4 -12/41 0/1 1/2 -7/24 0/1 1/3 -16/55 0/1 -9/31 1/6 1/4 -11/38 1/4 5/19 -2/7 1/3 1/2 -7/25 3/8 1/2 -5/18 1/2 -13/47 1/2 5/8 -21/76 1/2 2/3 -29/105 1/2 -8/29 1/2 2/3 -11/40 2/3 1/1 -3/11 1/2 -10/37 1/2 1/1 -7/26 1/2 1/1 -11/41 1/2 3/4 -15/56 4/5 1/1 -4/15 1/1 1/0 -9/34 -1/1 1/0 -14/53 0/1 -5/19 1/2 1/0 -6/23 -1/2 0/1 -7/27 -1/4 -8/31 -1/12 0/1 -1/4 0/1 1/4 -5/21 1/4 -4/17 1/3 -11/47 1/2 -7/30 0/1 1/3 -3/13 1/4 1/2 -17/74 5/16 1/3 -14/61 1/3 5/14 -11/48 0/1 1/3 -8/35 1/3 1/2 -13/57 1/2 -18/79 1/4 1/3 -5/22 1/3 2/5 -7/31 1/2 -16/71 1/2 1/1 -9/40 0/1 1/3 -2/9 1/2 1/1 -7/32 1/2 3/5 -12/55 3/4 1/1 -17/78 1/1 3/2 -5/23 1/2 1/0 -3/14 -1/1 0/1 -4/19 0/1 1/8 -13/62 0/1 1/6 -9/43 1/6 1/4 -14/67 2/13 1/6 -5/24 1/5 1/4 -1/5 1/4 -4/21 2/7 3/10 -3/16 1/3 -8/43 6/17 5/14 -5/27 5/14 3/8 -2/11 1/3 1/2 -7/39 1/4 -12/67 5/16 1/3 -5/28 1/3 4/11 -3/17 3/8 1/2 -7/40 3/7 1/2 -4/23 0/1 1/2 -1/6 1/3 1/2 -4/25 0/1 1/2 -7/44 0/1 1/1 -3/19 1/2 -5/32 1/2 1/1 -2/13 1/3 1/2 -3/20 0/1 1/1 -4/27 0/1 1/0 -5/34 0/1 1/7 -1/7 1/4 1/2 -2/15 1/3 -1/8 3/8 2/5 -1/9 1/2 -2/19 8/17 1/2 -1/10 1/2 3/5 0/1 0/1 1/2 1/9 1/4 1/2 1/8 3/7 1/2 1/7 1/2 2/13 5/8 2/3 1/6 2/3 3/4 4/23 3/4 1/1 7/40 5/6 1/1 3/17 3/4 2/11 1/1 5/27 5/4 3/16 1/1 1/0 4/21 1/1 1/0 1/5 1/2 1/0 3/14 0/1 1/3 2/9 1/2 1/1 3/13 1/2 7/30 0/1 1/3 4/17 0/1 1/2 5/21 1/2 6/25 1/2 2/3 1/4 1/2 1/1 5/19 1/2 9/34 1/3 1/2 4/15 0/1 1/2 3/11 1/2 3/4 14/51 2/3 11/40 2/3 1/1 8/29 1/2 2/3 13/47 3/4 5/18 4/5 1/1 2/7 1/2 1/1 13/45 1/2 3/4 11/38 1/2 2/3 9/31 1/2 7/24 2/3 1/1 19/65 7/10 12/41 14/19 3/4 5/17 3/4 5/6 3/10 1/1 4/13 3/2 2/1 9/29 5/2 1/0 14/45 -1/1 1/0 5/16 0/1 1/1 16/51 2/1 1/0 11/35 1/2 1/0 6/19 1/1 1/0 1/3 1/0 7/20 -1/1 1/0 6/17 0/1 1/0 11/31 1/2 1/0 5/14 -1/1 1/0 14/39 -1/2 -2/5 23/64 -1/3 0/1 9/25 -1/2 1/0 4/11 -1/4 0/1 7/19 0/1 10/27 0/1 1/14 3/8 0/1 1/5 8/21 0/1 1/4 21/55 1/4 13/34 1/4 1/3 5/13 1/4 1/2 7/18 3/7 1/2 9/23 1/2 11/28 0/1 2/5 1/3 1/2 9/22 0/1 1/1 7/17 1/2 26/63 0/1 1/2 19/46 1/2 12/29 1/2 3/5 5/12 2/3 1/1 8/19 1/2 1/1 27/64 1/1 19/45 1/2 11/26 0/1 1/1 14/33 5/6 1/1 3/7 1/2 1/0 16/37 0/1 1/2 13/30 1/2 3/5 10/23 1/2 2/3 17/39 1/2 7/16 0/1 1/1 4/9 1/1 5/11 1/0 16/35 2/1 1/0 27/59 -1/2 1/0 11/24 0/1 1/1 6/13 0/1 1/2 7/15 1/2 1/0 8/17 1/1 1/0 1/2 0/1 1/0 7/13 1/8 13/24 1/7 2/13 6/11 0/1 1/6 17/31 1/4 11/20 1/5 2/9 16/29 3/13 1/4 5/9 1/4 1/2 19/34 0/1 1/3 14/25 0/1 23/41 1/4 55/98 0/1 1/4 32/57 0/1 1/6 9/16 1/5 1/4 4/7 1/4 1/3 11/19 3/8 1/2 18/31 1/2 1/1 25/43 1/4 7/12 1/3 1/2 24/41 1/3 17/29 3/8 1/2 27/46 1/3 2/5 10/17 1/3 1/2 13/22 0/1 1/3 3/5 1/2 17/28 0/1 1/0 31/51 1/2 1/0 14/23 0/1 1/4 39/64 0/1 1/3 25/41 1/4 1/2 11/18 1/3 2/5 41/67 1/2 30/49 1/3 1/2 19/31 3/8 1/2 27/44 1/4 1/3 8/13 2/5 1/2 5/8 1/2 12/19 1/2 2/3 19/30 1/2 2/3 26/41 5/8 2/3 7/11 1/2 3/4 16/25 1/1 1/0 41/64 0/1 1/1 25/39 1/2 9/14 0/1 1/3 29/45 5/12 1/2 20/31 8/17 1/2 51/79 1/2 31/48 1/2 13/25 11/17 1/2 13/20 1/2 1/1 2/3 1/2 1/1 15/22 1/1 4/3 13/19 1/0 11/16 5/1 1/0 20/29 -3/1 1/0 9/13 -1/2 1/0 7/10 0/1 1/1 19/27 -1/2 1/0 12/17 0/1 1/2 17/24 0/1 1/3 22/31 0/1 1/2 5/7 1/0 23/32 0/1 1/0 41/57 -1/2 1/0 18/25 -1/1 1/0 31/43 -3/4 -1/2 13/18 -1/1 0/1 34/47 0/1 1/0 55/76 -1/1 1/0 21/29 -1/2 1/0 29/40 -1/3 0/1 8/11 -1/4 0/1 11/15 0/1 14/19 0/1 1/12 3/4 0/1 1/4 16/21 0/1 1/0 13/17 1/4 1/2 23/30 0/1 1/3 33/43 1/2 10/13 0/1 1/2 7/9 1/4 18/23 1/4 1/3 11/14 1/5 1/4 15/19 1/4 3/10 4/5 1/3 1/2 13/16 2/7 1/3 9/11 3/8 23/28 1/3 2/5 14/17 3/8 2/5 19/23 5/12 1/2 24/29 2/5 1/2 5/6 2/5 3/7 16/19 6/13 1/2 11/13 1/2 6/7 1/2 13/15 1/2 7/8 4/7 3/5 15/17 5/8 8/9 1/2 2/3 1/1 1/2 1/0 9/8 0/1 1/3 17/15 1/2 25/22 1/4 1/3 8/7 2/5 1/2 7/6 1/2 20/17 1/2 6/11 33/28 1/2 3/5 13/11 1/2 19/16 5/9 4/7 6/5 1/2 3/5 23/19 1/2 5/8 40/33 9/14 2/3 57/47 2/3 74/61 2/3 11/16 17/14 2/3 1/1 28/23 1/2 6/11 39/32 7/12 3/5 11/9 5/8 5/4 3/4 1/1 14/11 1/2 1/1 9/7 1/2 22/17 1/1 13/10 0/1 1/1 30/23 1/2 8/15 47/36 4/7 3/5 17/13 1/2 5/8 4/3 3/4 1/1 15/11 1/1 26/19 1/1 13/12 11/8 1/1 5/4 51/37 3/2 40/29 4/3 3/2 69/50 7/5 10/7 29/21 3/2 1/0 47/34 1/1 2/1 18/13 3/2 2/1 61/44 1/1 2/1 43/31 3/2 1/0 25/18 3/1 1/0 57/41 3/2 1/0 89/64 2/1 1/0 121/87 1/0 32/23 1/1 1/0 7/5 1/0 17/12 -1/1 0/1 10/7 1/2 2/3 23/16 1/1 13/9 1/2 1/0 16/11 1/2 1/1 3/2 1/1 1/0 20/13 0/1 1/0 37/24 -1/1 1/0 54/35 2/1 1/0 17/11 1/0 65/42 -2/1 1/0 48/31 -1/1 1/0 79/51 -1/1 31/20 -1/1 0/1 14/9 0/1 1/0 39/25 1/2 64/41 0/1 1/0 89/57 -1/2 1/0 25/16 -1/1 0/1 11/7 1/2 1/0 8/5 0/1 21/13 1/4 1/2 34/21 1/3 1/2 81/50 9/19 1/2 47/29 1/2 13/8 0/1 1/1 44/27 0/1 1/4 75/46 0/1 1/3 31/19 1/2 1/0 80/49 1/2 1/1 129/79 1/1 49/30 1/1 1/0 18/11 0/1 1/0 41/25 1/4 1/2 23/14 0/1 1/1 74/45 0/1 1/8 51/31 1/6 1/4 28/17 1/3 1/2 5/3 1/2 17/10 1/2 3/5 46/27 1/2 2/3 75/44 2/3 1/1 29/17 1/2 5/8 41/24 2/3 53/31 3/4 12/7 1/2 2/3 55/32 2/3 1/1 43/25 3/4 31/18 2/3 3/4 50/29 3/4 1/1 19/11 1/2 3/4 26/15 5/6 1/1 33/19 1/1 40/23 1/1 5/4 7/4 0/1 1/1 16/9 1/2 1/1 57/32 2/3 1/1 41/23 1/2 25/14 1/1 59/33 3/2 34/19 2/1 1/0 77/43 1/0 43/24 -1/1 0/1 9/5 1/2 1/0 20/11 1/2 2/3 51/28 1/2 3/5 31/17 1/2 11/6 2/3 1/1 35/19 7/10 3/4 24/13 3/4 4/5 13/7 3/4 15/8 8/9 1/1 17/9 1/1 19/10 1/1 10/9 2/1 1/1 1/0 19/9 1/0 17/8 -7/1 1/0 15/7 -3/2 1/0 13/6 -1/1 1/0 37/17 -3/4 -1/2 24/11 -1/2 0/1 83/38 0/1 1/1 59/27 -1/2 1/0 35/16 -1/1 0/1 46/21 0/1 1/0 11/5 -1/2 9/4 0/1 25/11 1/6 16/7 0/1 1/4 39/17 1/4 23/10 1/5 1/4 53/23 1/4 30/13 1/4 1/3 37/16 0/1 1/3 44/19 1/3 1/2 7/3 1/4 1/2 40/17 5/16 1/3 73/31 1/3 106/45 1/3 15/44 33/14 1/3 5/14 26/11 3/8 2/5 71/30 2/5 1/2 45/19 1/2 109/46 1/3 2/5 64/27 2/5 19/8 1/3 1/2 31/13 1/2 43/18 9/19 1/2 55/23 1/2 67/28 1/2 13/25 12/5 1/2 2/3 17/7 1/2 73/30 2/3 1/1 129/53 1/1 56/23 1/2 1/1 39/16 0/1 1/2 22/9 0/1 1/2 27/11 3/8 1/2 32/13 5/11 1/2 37/15 1/2 5/2 1/2 2/3 28/11 1/1 51/20 1/1 3/2 74/29 4/1 1/0 23/9 1/2 64/25 1/2 2/3 41/16 1/1 1/0 18/7 1/2 1/1 31/12 3/4 1/1 75/29 1/1 119/46 1/1 9/8 44/17 1/1 3/2 13/5 1/2 1/0 34/13 1/2 1/1 21/8 3/5 2/3 29/11 1/2 66/25 2/3 37/14 2/3 1/1 8/3 3/4 1/1 19/7 1/1 30/11 1/1 11/10 11/4 1/1 4/3 47/17 3/2 36/13 1/1 3/2 25/9 3/2 1/0 89/32 5/3 2/1 153/55 2/1 217/78 2/1 7/3 64/23 2/1 1/0 39/14 1/1 2/1 14/5 2/1 1/0 45/16 3/1 1/0 31/11 1/2 1/0 17/6 0/1 1/1 37/13 1/2 1/0 57/20 1/2 1/1 77/27 1/1 20/7 1/1 1/0 23/8 1/1 2/1 3/1 1/0 22/7 0/1 1/0 19/6 1/1 1/0 16/5 0/1 1/0 45/14 2/1 1/0 119/37 1/0 74/23 -5/1 1/0 29/9 -3/2 1/0 13/4 -1/1 0/1 10/3 0/1 27/8 0/1 1/5 17/5 1/4 1/2 58/17 0/1 1/4 41/12 0/1 1/3 106/31 0/1 1/2 65/19 1/4 24/7 0/1 1/4 31/9 1/2 69/20 0/1 1/3 38/11 1/3 1/2 121/35 1/2 83/24 0/1 1/2 45/13 1/4 1/2 52/15 2/5 1/2 7/2 1/2 1/1 25/7 -1/2 43/12 -1/10 0/1 61/17 0/1 79/22 0/1 1/22 18/5 0/1 1/6 29/8 0/1 1/5 69/19 1/4 109/30 0/1 1/3 40/11 1/4 2/7 91/25 3/10 51/14 1/3 11/3 1/4 1/2 26/7 2/5 1/2 41/11 1/2 56/15 1/2 4/7 15/4 1/2 1/1 34/9 1/3 1/2 87/23 3/8 1/2 53/14 2/5 3/7 19/5 1/2 61/16 11/23 1/2 103/27 1/2 42/11 1/2 10/19 23/6 3/5 2/3 4/1 1/2 1/1 21/5 1/1 38/9 1/1 9/8 17/4 1/1 4/3 47/11 5/4 3/2 77/18 7/5 3/2 30/7 3/2 2/1 43/10 1/1 2/1 56/13 2/1 1/0 13/3 1/0 22/5 1/1 1/0 9/2 1/1 2/1 32/7 1/0 55/12 -3/1 -2/1 78/17 -1/1 1/0 23/5 1/0 14/3 -2/1 1/0 19/4 -1/3 0/1 43/9 0/1 67/14 0/1 1/11 24/5 0/1 1/4 5/1 1/2 1/0 36/7 1/1 1/0 31/6 -1/1 0/1 26/5 0/1 1/0 21/4 1/1 1/0 16/3 0/1 1/0 11/2 0/1 28/5 0/1 1/4 45/8 0/1 1/3 17/3 1/2 57/10 2/7 1/3 40/7 1/3 3/8 23/4 1/2 3/5 6/1 1/2 1/1 19/3 -1/2 1/0 32/5 -1/4 0/1 45/7 0/1 58/9 0/1 1/10 13/2 0/1 1/3 20/3 0/1 1/4 7/1 1/2 15/2 2/3 1/1 23/3 1/1 31/4 1/1 4/3 8/1 1/1 1/0 17/2 -1/1 1/0 9/1 1/2 1/0 10/1 1/2 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(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(1,0,2,1) Matrix(689,326,298,141) -> Matrix(1,0,0,1) Matrix(491,230,-2154,-1009) -> Matrix(1,0,0,1) Matrix(485,226,294,137) -> Matrix(1,0,0,1) Matrix(191,88,484,223) -> Matrix(1,0,0,1) Matrix(1147,524,672,307) -> Matrix(9,-2,14,-3) Matrix(947,428,-2560,-1157) -> Matrix(1,0,-2,1) Matrix(475,214,566,255) -> Matrix(15,-4,34,-9) Matrix(847,380,-2356,-1057) -> Matrix(7,-2,18,-5) Matrix(2071,928,944,423) -> Matrix(7,-2,-10,3) Matrix(943,422,3010,1347) -> Matrix(13,-4,10,-3) Matrix(1597,714,378,169) -> Matrix(25,-8,22,-7) Matrix(185,82,282,125) -> Matrix(5,-2,8,-3) Matrix(277,122,-1578,-695) -> Matrix(3,-2,8,-5) Matrix(2131,936,1300,571) -> Matrix(1,0,2,1) Matrix(461,202,-1294,-567) -> Matrix(7,-2,18,-5) Matrix(1663,726,1198,523) -> Matrix(3,-2,2,-1) Matrix(831,362,-2858,-1245) -> Matrix(1,0,4,1) Matrix(641,278,-2202,-955) -> Matrix(1,0,-2,1) Matrix(1007,436,552,239) -> Matrix(9,-2,14,-3) Matrix(631,268,1448,615) -> Matrix(1,0,-2,1) Matrix(11105,4708,3248,1377) -> Matrix(7,-2,18,-5) Matrix(7493,3176,3428,1453) -> Matrix(7,-2,-10,3) Matrix(2705,1146,-7126,-3019) -> Matrix(7,-2,18,-5) Matrix(989,418,362,153) -> Matrix(25,-8,22,-7) Matrix(629,264,984,413) -> Matrix(5,-2,8,-3) Matrix(1251,524,-3488,-1461) -> Matrix(1,0,0,1) Matrix(91,38,534,223) -> Matrix(11,-4,14,-5) Matrix(2577,1070,802,333) -> Matrix(1,0,-2,1) Matrix(1865,774,-6754,-2803) -> Matrix(5,-2,8,-3) Matrix(975,404,1156,479) -> Matrix(7,-4,16,-9) Matrix(1505,622,-3898,-1611) -> Matrix(7,-4,16,-9) Matrix(2039,842,3630,1499) -> Matrix(3,-2,14,-9) Matrix(2215,914,1946,803) -> Matrix(5,-4,14,-11) Matrix(529,218,-2298,-947) -> Matrix(1,0,2,1) Matrix(531,218,1498,615) -> Matrix(1,0,0,1) Matrix(883,362,-2910,-1193) -> Matrix(1,0,2,1) Matrix(613,250,-2018,-823) -> Matrix(1,0,-6,1) Matrix(611,248,1052,427) -> Matrix(1,0,-2,1) Matrix(431,170,-2406,-949) -> Matrix(11,-4,36,-13) Matrix(773,304,684,269) -> Matrix(5,-2,18,-7) Matrix(1111,436,344,135) -> Matrix(5,-2,-2,1) Matrix(1877,734,514,201) -> Matrix(1,0,0,1) Matrix(1619,632,3840,1499) -> Matrix(5,-2,8,-3) Matrix(1195,466,-3326,-1297) -> Matrix(1,0,0,1) Matrix(933,362,-3482,-1351) -> Matrix(11,-4,14,-5) Matrix(511,198,1102,427) -> Matrix(5,-2,8,-3) Matrix(1355,524,256,99) -> Matrix(5,-2,-2,1) Matrix(83,32,-760,-293) -> Matrix(3,-2,8,-5) Matrix(589,226,86,33) -> Matrix(1,0,0,1) Matrix(1767,676,2444,935) -> Matrix(1,0,-4,1) Matrix(671,256,-1764,-673) -> Matrix(1,0,2,1) Matrix(1511,574,-6710,-2549) -> Matrix(1,0,-2,1) Matrix(9555,3628,2768,1051) -> Matrix(7,-2,18,-5) Matrix(417,158,1090,413) -> Matrix(1,0,0,1) Matrix(333,124,1904,709) -> Matrix(11,-4,14,-5) Matrix(581,216,1240,461) -> Matrix(1,0,-2,1) Matrix(415,154,-2234,-829) -> Matrix(13,-4,36,-11) Matrix(411,152,-2804,-1037) -> Matrix(1,0,2,1) Matrix(1321,488,2060,761) -> Matrix(1,0,-2,1) Matrix(1975,726,574,211) -> Matrix(7,-2,18,-5) Matrix(1563,574,2546,935) -> Matrix(13,-4,36,-11) Matrix(901,330,658,241) -> Matrix(31,-10,28,-9) Matrix(1877,680,1140,413) -> Matrix(5,-2,18,-7) Matrix(1467,530,2278,823) -> Matrix(1,0,0,1) Matrix(571,206,-2442,-881) -> Matrix(1,0,0,1) Matrix(971,348,-4456,-1597) -> Matrix(1,0,-2,1) Matrix(563,200,-2176,-773) -> Matrix(5,-2,-32,13) Matrix(1129,400,3864,1369) -> Matrix(11,-4,14,-5) Matrix(3057,1082,-9818,-3475) -> Matrix(29,-12,46,-19) Matrix(2979,1054,1286,455) -> Matrix(5,-2,8,-3) Matrix(563,198,1362,479) -> Matrix(13,-6,24,-11) Matrix(957,334,2318,809) -> Matrix(3,-2,8,-5) Matrix(877,304,476,165) -> Matrix(1,-2,2,-3) Matrix(845,272,612,197) -> Matrix(7,-2,4,-1) Matrix(1749,554,382,121) -> Matrix(13,-6,-2,1) Matrix(683,214,150,47) -> Matrix(7,-4,2,-1) Matrix(2949,920,1888,589) -> Matrix(3,-2,2,-1) Matrix(8609,2680,7096,2209) -> Matrix(25,-16,36,-23) Matrix(3621,1126,1058,329) -> Matrix(3,-2,8,-5) Matrix(149,46,-826,-255) -> Matrix(3,-2,8,-5) Matrix(523,160,-2396,-733) -> Matrix(1,-2,2,-3) Matrix(223,68,-1420,-433) -> Matrix(1,0,2,1) Matrix(3055,924,896,271) -> Matrix(1,0,2,1) Matrix(1041,314,1714,517) -> Matrix(1,0,0,1) Matrix(221,66,298,89) -> Matrix(1,0,4,1) Matrix(2287,676,1404,415) -> Matrix(1,0,-4,1) Matrix(515,152,1772,523) -> Matrix(9,-2,14,-3) Matrix(1837,538,1178,345) -> Matrix(1,0,-2,1) Matrix(219,64,-1468,-429) -> Matrix(1,0,-2,1) Matrix(1097,318,514,149) -> Matrix(9,-2,-4,1) Matrix(1681,486,294,85) -> Matrix(7,-2,18,-5) Matrix(941,264,360,101) -> Matrix(5,-2,8,-3) Matrix(359,100,-1296,-361) -> Matrix(9,-4,16,-7) Matrix(1295,358,-6182,-1709) -> Matrix(3,-2,20,-13) Matrix(8117,2242,5246,1449) -> Matrix(1,0,-2,1) Matrix(2083,574,1506,415) -> Matrix(5,-4,4,-3) Matrix(575,158,2078,571) -> Matrix(1,-2,2,-3) Matrix(569,154,-2494,-675) -> Matrix(3,-2,8,-5) Matrix(215,58,1138,307) -> Matrix(3,-2,2,-1) Matrix(923,248,428,115) -> Matrix(1,0,-2,1) Matrix(2345,628,1348,361) -> Matrix(5,-4,4,-3) Matrix(143,38,-922,-245) -> Matrix(1,0,2,1) Matrix(3183,842,1342,355) -> Matrix(1,2,2,5) Matrix(425,112,1552,409) -> Matrix(1,-2,2,-3) Matrix(283,74,914,239) -> Matrix(1,2,0,1) Matrix(561,146,634,165) -> Matrix(3,2,4,3) Matrix(2521,650,702,181) -> Matrix(1,0,18,1) Matrix(823,198,478,115) -> Matrix(5,-2,8,-3) Matrix(271,64,-1156,-273) -> Matrix(7,-2,18,-5) Matrix(1151,268,408,95) -> Matrix(1,0,-2,1) Matrix(9857,2264,4184,961) -> Matrix(31,-10,90,-29) Matrix(5397,1238,946,217) -> Matrix(5,-2,18,-7) Matrix(2763,632,1552,355) -> Matrix(5,-2,8,-3) Matrix(2625,598,338,77) -> Matrix(7,-2,4,-1) Matrix(875,198,738,167) -> Matrix(13,-6,24,-11) Matrix(1411,318,670,151) -> Matrix(3,-2,2,-1) Matrix(605,136,1944,437) -> Matrix(1,0,-2,1) Matrix(399,88,68,15) -> Matrix(1,0,0,1) Matrix(9977,2176,3856,841) -> Matrix(7,-6,6,-5) Matrix(729,158,466,101) -> Matrix(1,0,0,1) Matrix(197,42,530,113) -> Matrix(1,0,6,1) Matrix(3029,636,5396,1133) -> Matrix(1,0,-2,1) Matrix(2497,522,5458,1141) -> Matrix(1,0,-6,1) Matrix(5193,1084,2036,425) -> Matrix(11,-2,6,-1) Matrix(1051,218,458,95) -> Matrix(1,0,0,1) Matrix(387,74,706,135) -> Matrix(7,-2,32,-9) Matrix(191,36,-1024,-193) -> Matrix(25,-8,72,-23) Matrix(827,152,1148,211) -> Matrix(5,-2,-2,1) Matrix(1329,238,698,125) -> Matrix(19,-6,16,-5) Matrix(887,158,1454,259) -> Matrix(5,-2,18,-7) Matrix(2585,452,692,121) -> Matrix(9,-4,16,-7) Matrix(189,32,124,21) -> Matrix(1,0,-2,1) Matrix(61,10,250,41) -> Matrix(5,-2,8,-3) Matrix(1919,306,370,59) -> Matrix(1,0,-2,1) Matrix(4205,668,2348,373) -> Matrix(1,0,-2,1) Matrix(367,56,308,47) -> Matrix(9,-4,16,-7) Matrix(2625,388,548,81) -> Matrix(1,0,4,1) Matrix(423,58,722,99) -> Matrix(7,-2,18,-5) Matrix(299,38,118,15) -> Matrix(11,-4,14,-5) Matrix(177,20,292,33) -> Matrix(5,-2,8,-3) Matrix(1393,146,582,61) -> Matrix(21,-10,40,-19) Matrix(173,16,400,37) -> Matrix(1,0,0,1) Matrix(235,-24,284,-29) -> Matrix(3,-2,8,-5) Matrix(653,-76,232,-27) -> Matrix(1,0,-2,1) Matrix(549,-74,230,-31) -> Matrix(11,-6,24,-13) Matrix(225,-34,814,-123) -> Matrix(13,-8,18,-11) Matrix(135,-22,178,-29) -> Matrix(3,-2,8,-5) Matrix(1105,-194,974,-171) -> Matrix(5,-4,14,-11) Matrix(89,-16,484,-87) -> Matrix(9,-8,8,-7) Matrix(1229,-228,1008,-187) -> Matrix(7,-10,12,-17) Matrix(261,-50,830,-159) -> Matrix(1,0,0,1) Matrix(301,-64,428,-91) -> Matrix(1,0,-2,1) Matrix(213,-46,514,-111) -> Matrix(5,-2,8,-3) Matrix(297,-68,380,-87) -> Matrix(1,0,2,1) Matrix(2447,-570,674,-157) -> Matrix(1,0,2,1) Matrix(2655,-622,1558,-365) -> Matrix(5,-2,8,-3) Matrix(211,-50,882,-209) -> Matrix(5,-2,8,-3) Matrix(331,-86,866,-225) -> Matrix(1,0,2,1) Matrix(1069,-282,906,-239) -> Matrix(9,-4,16,-7) Matrix(1151,-306,410,-109) -> Matrix(3,-2,2,-1) Matrix(451,-122,122,-33) -> Matrix(3,-2,8,-5) Matrix(8119,-2230,3426,-941) -> Matrix(5,-4,14,-11) Matrix(2447,-674,570,-157) -> Matrix(5,-4,4,-3) Matrix(163,-46,202,-57) -> Matrix(3,-2,8,-5) Matrix(1655,-478,322,-93) -> Matrix(3,-2,2,-1) Matrix(5445,-1574,1574,-455) -> Matrix(3,-2,8,-5) Matrix(2579,-748,4596,-1333) -> Matrix(3,-2,14,-9) Matrix(5753,-1682,2254,-659) -> Matrix(3,-2,-4,3) Matrix(1529,-448,2372,-695) -> Matrix(13,-10,30,-23) Matrix(521,-154,362,-107) -> Matrix(5,-4,4,-3) Matrix(399,-122,278,-85) -> Matrix(3,-4,4,-5) Matrix(3451,-1072,1072,-333) -> Matrix(1,-4,0,1) Matrix(4115,-1292,1188,-373) -> Matrix(1,0,2,1) Matrix(869,-276,1420,-451) -> Matrix(1,0,2,1) Matrix(773,-268,424,-147) -> Matrix(1,-2,2,-3) Matrix(1615,-568,2232,-785) -> Matrix(1,0,0,1) Matrix(653,-232,76,-27) -> Matrix(1,0,0,1) Matrix(1913,-686,1570,-563) -> Matrix(7,4,12,7) Matrix(6811,-2446,1874,-673) -> Matrix(1,0,6,1) Matrix(3825,-1376,1376,-495) -> Matrix(1,2,0,1) Matrix(727,-262,1146,-413) -> Matrix(3,2,4,3) Matrix(267,-98,722,-265) -> Matrix(1,0,18,1) Matrix(453,-172,640,-243) -> Matrix(1,0,-2,1) Matrix(1243,-474,1618,-617) -> Matrix(1,0,-2,1) Matrix(413,-160,524,-203) -> Matrix(5,-2,18,-7) Matrix(487,-190,710,-277) -> Matrix(3,-2,2,-1) Matrix(2427,-952,1420,-557) -> Matrix(1,-2,2,-3) Matrix(407,-166,738,-301) -> Matrix(3,-2,14,-9) Matrix(1255,-514,774,-317) -> Matrix(1,0,0,1) Matrix(1989,-820,1288,-531) -> Matrix(3,-2,2,-1) Matrix(367,-154,622,-261) -> Matrix(3,-2,8,-5) Matrix(8119,-3426,2230,-941) -> Matrix(1,-2,4,-7) Matrix(1717,-726,622,-263) -> Matrix(5,-4,4,-3) Matrix(547,-232,804,-341) -> Matrix(5,-4,4,-3) Matrix(511,-218,218,-93) -> Matrix(1,0,2,1) Matrix(3741,-1616,2396,-1035) -> Matrix(1,0,-2,1) Matrix(1451,-630,942,-409) -> Matrix(3,-2,2,-1) Matrix(1085,-474,1774,-775) -> Matrix(3,-2,8,-5) Matrix(469,-206,362,-159) -> Matrix(1,0,0,1) Matrix(323,-146,250,-113) -> Matrix(1,-2,2,-3) Matrix(3069,-1402,1714,-783) -> Matrix(1,0,0,1) Matrix(6313,-2890,2890,-1323) -> Matrix(1,0,0,1) Matrix(2031,-934,1246,-573) -> Matrix(1,0,2,1) Matrix(1201,-568,776,-367) -> Matrix(1,-2,0,1) Matrix(609,-326,170,-91) -> Matrix(1,0,-10,1) Matrix(507,-274,742,-401) -> Matrix(15,-2,8,-1) Matrix(1719,-934,1246,-677) -> Matrix(21,-4,16,-3) Matrix(773,-424,268,-147) -> Matrix(1,0,-4,1) Matrix(1071,-592,436,-241) -> Matrix(7,-2,18,-5) Matrix(1201,-670,1970,-1099) -> Matrix(1,0,0,1) Matrix(3169,-1772,1200,-671) -> Matrix(5,-2,8,-3) Matrix(3431,-1924,1300,-729) -> Matrix(9,-2,14,-3) Matrix(365,-206,466,-263) -> Matrix(1,0,0,1) Matrix(627,-362,362,-209) -> Matrix(11,-4,14,-5) Matrix(659,-382,954,-553) -> Matrix(5,-2,-2,1) Matrix(1085,-632,788,-459) -> Matrix(13,-4,10,-3) Matrix(2427,-1420,952,-557) -> Matrix(7,-2,4,-1) Matrix(2655,-1558,622,-365) -> Matrix(7,-2,4,-1) Matrix(1311,-770,458,-269) -> Matrix(1,0,-2,1) Matrix(229,-136,32,-19) -> Matrix(5,-2,8,-3) Matrix(4947,-3008,3008,-1829) -> Matrix(1,0,4,1) Matrix(3749,-2284,1712,-1043) -> Matrix(1,0,-4,1) Matrix(3999,-2450,2450,-1501) -> Matrix(5,-2,8,-3) Matrix(2031,-1246,934,-573) -> Matrix(1,0,-4,1) Matrix(161,-100,256,-159) -> Matrix(9,-4,16,-7) Matrix(1401,-886,574,-363) -> Matrix(3,-2,8,-5) Matrix(3691,-2340,1560,-989) -> Matrix(7,-4,16,-9) Matrix(3741,-2396,1616,-1035) -> Matrix(1,0,2,1) Matrix(7131,-4570,3010,-1929) -> Matrix(3,-2,8,-5) Matrix(6511,-4202,1706,-1101) -> Matrix(37,-18,72,-35) Matrix(9763,-6304,2560,-1653) -> Matrix(47,-24,96,-49) Matrix(1201,-776,568,-367) -> Matrix(11,-6,2,-1) Matrix(1451,-942,630,-409) -> Matrix(3,-2,14,-9) Matrix(2893,-1994,1786,-1231) -> Matrix(1,4,2,9) Matrix(521,-362,154,-107) -> Matrix(1,0,4,1) Matrix(733,-516,152,-107) -> Matrix(1,0,2,1) Matrix(731,-518,882,-625) -> Matrix(3,-2,8,-5) Matrix(2067,-1468,1156,-821) -> Matrix(3,-2,2,-1) Matrix(1937,-1390,818,-587) -> Matrix(1,2,2,5) Matrix(6897,-4960,4960,-3567) -> Matrix(1,2,0,1) Matrix(4113,-2960,1088,-783) -> Matrix(1,2,2,5) Matrix(2327,-1678,1782,-1285) -> Matrix(7,4,12,7) Matrix(4465,-3232,1568,-1135) -> Matrix(1,0,2,1) Matrix(1719,-1246,934,-677) -> Matrix(7,2,10,3) Matrix(1085,-788,632,-459) -> Matrix(7,2,10,3) Matrix(331,-242,450,-329) -> Matrix(1,0,16,1) Matrix(943,-720,148,-113) -> Matrix(1,0,-4,1) Matrix(2327,-1782,1678,-1285) -> Matrix(7,-2,4,-1) Matrix(3649,-2800,1500,-1151) -> Matrix(5,-2,8,-3) Matrix(469,-362,206,-159) -> Matrix(1,0,2,1) Matrix(901,-712,348,-275) -> Matrix(7,-2,4,-1) Matrix(373,-304,200,-163) -> Matrix(17,-6,20,-7) Matrix(971,-796,172,-141) -> Matrix(5,-2,18,-7) Matrix(1541,-1268,1112,-915) -> Matrix(1,0,-2,1) Matrix(1311,-1082,1082,-893) -> Matrix(29,-12,46,-19) Matrix(169,-144,196,-167) -> Matrix(21,-10,40,-19) Matrix(947,-822,250,-217) -> Matrix(11,-6,24,-13) Matrix(1105,-974,194,-171) -> Matrix(3,-2,14,-9) Matrix(357,-320,164,-147) -> Matrix(3,-2,-4,3) Matrix(323,-354,198,-217) -> Matrix(1,0,0,1) Matrix(169,-196,144,-167) -> Matrix(17,-8,32,-15) Matrix(2149,-2530,502,-591) -> Matrix(29,-16,20,-11) Matrix(235,-284,24,-29) -> Matrix(3,-2,8,-5) Matrix(5359,-6498,4418,-5357) -> Matrix(61,-40,90,-59) Matrix(1501,-1826,1150,-1399) -> Matrix(5,-2,8,-3) Matrix(163,-202,46,-57) -> Matrix(3,-2,2,-1) Matrix(413,-524,160,-203) -> Matrix(1,0,0,1) Matrix(297,-380,68,-87) -> Matrix(3,-2,2,-1) Matrix(949,-1236,248,-323) -> Matrix(5,-2,8,-3) Matrix(135,-178,22,-29) -> Matrix(3,-2,2,-1) Matrix(331,-450,242,-329) -> Matrix(17,-16,16,-15) Matrix(2449,-3376,568,-783) -> Matrix(1,-2,2,-3) Matrix(1615,-2232,568,-785) -> Matrix(1,-2,2,-3) Matrix(4003,-5564,936,-1301) -> Matrix(3,-2,2,-1) Matrix(14965,-20812,4328,-6019) -> Matrix(1,-2,2,-3) Matrix(6089,-8470,1762,-2451) -> Matrix(1,0,2,1) Matrix(1261,-1756,456,-635) -> Matrix(3,-2,2,-1) Matrix(453,-640,172,-243) -> Matrix(1,-2,2,-3) Matrix(301,-428,64,-91) -> Matrix(1,0,-2,1) Matrix(659,-954,382,-553) -> Matrix(1,-2,2,-3) Matrix(487,-710,190,-277) -> Matrix(1,0,0,1) Matrix(1493,-2302,430,-663) -> Matrix(1,0,2,1) Matrix(6855,-10616,2816,-4361) -> Matrix(1,0,2,1) Matrix(6303,-9766,2590,-4013) -> Matrix(3,2,4,3) Matrix(1529,-2372,448,-695) -> Matrix(1,0,4,1) Matrix(4731,-7384,1300,-2029) -> Matrix(1,-2,4,-7) Matrix(161,-256,100,-159) -> Matrix(1,0,2,1) Matrix(993,-1606,358,-579) -> Matrix(7,-2,4,-1) Matrix(2719,-4406,714,-1157) -> Matrix(3,-2,8,-5) Matrix(5353,-8740,1876,-3063) -> Matrix(3,-2,2,-1) Matrix(6813,-11126,2390,-3903) -> Matrix(1,-2,2,-3) Matrix(869,-1420,276,-451) -> Matrix(1,0,0,1) Matrix(1201,-1970,670,-1099) -> Matrix(1,0,-2,1) Matrix(1397,-2296,216,-355) -> Matrix(1,0,2,1) Matrix(367,-622,154,-261) -> Matrix(7,-4,16,-9) Matrix(1577,-2686,866,-1475) -> Matrix(1,0,0,1) Matrix(4729,-8062,1250,-2131) -> Matrix(7,-4,16,-9) Matrix(3741,-6398,1094,-1871) -> Matrix(3,-2,8,-5) Matrix(4933,-8482,1358,-2335) -> Matrix(3,-2,8,-5) Matrix(2139,-3686,878,-1513) -> Matrix(3,-2,2,-1) Matrix(1255,-2178,722,-1253) -> Matrix(11,-10,10,-9) Matrix(169,-298,38,-67) -> Matrix(3,-2,2,-1) Matrix(2579,-4596,748,-1333) -> Matrix(3,-2,8,-5) Matrix(1401,-2500,784,-1399) -> Matrix(5,-4,4,-3) Matrix(407,-738,166,-301) -> Matrix(3,-2,8,-5) Matrix(747,-1384,292,-541) -> Matrix(3,-2,2,-1) Matrix(307,-578,162,-305) -> Matrix(19,-18,18,-17) Matrix(4819,-10520,1732,-3781) -> Matrix(5,2,2,1) Matrix(145,-324,64,-143) -> Matrix(1,0,8,1) Matrix(395,-906,126,-289) -> Matrix(1,0,-4,1) Matrix(2093,-4824,456,-1051) -> Matrix(1,0,-4,1) Matrix(4527,-10658,1922,-4525) -> Matrix(61,-20,180,-59) Matrix(1347,-3178,526,-1241) -> Matrix(11,-4,14,-5) Matrix(2531,-6050,1058,-2529) -> Matrix(45,-22,88,-43) Matrix(213,-514,46,-111) -> Matrix(1,0,-2,1) Matrix(2657,-6546,826,-2035) -> Matrix(21,-10,-2,1) Matrix(913,-2260,284,-703) -> Matrix(7,-4,2,-1) Matrix(4351,-11250,1682,-4349) -> Matrix(13,-12,12,-11) Matrix(331,-866,86,-225) -> Matrix(1,0,0,1) Matrix(143,-378,14,-37) -> Matrix(3,-2,2,-1) Matrix(267,-722,98,-265) -> Matrix(15,-14,14,-13) Matrix(16831,-46818,6050,-16829) -> Matrix(13,-24,6,-11) Matrix(1773,-4936,412,-1147) -> Matrix(1,0,0,1) Matrix(617,-1722,110,-307) -> Matrix(1,-2,4,-7) Matrix(261,-830,50,-159) -> Matrix(1,0,0,1) Matrix(121,-400,36,-119) -> Matrix(1,0,6,1) Matrix(2075,-7442,578,-2073) -> Matrix(1,0,32,1) Matrix(225,-814,34,-123) -> Matrix(1,0,-2,1) Matrix(903,-3362,242,-901) -> Matrix(13,-6,24,-11) Matrix(185,-698,22,-83) -> Matrix(1,0,-2,1) Matrix(211,-882,50,-209) -> Matrix(11,-10,10,-9) Matrix(959,-4398,186,-853) -> Matrix(1,2,0,1) Matrix(775,-3698,162,-773) -> Matrix(1,0,14,1) Matrix(89,-484,16,-87) -> Matrix(1,0,4,1) Matrix(631,-4050,98,-629) -> Matrix(1,0,14,1) Matrix(139,-1058,18,-137) -> Matrix(7,-6,6,-5) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 78 Degree of the the map X: 78 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. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 0/1 1 1 0/1 (0/1,1/2) 0 26 1/9 0 13 1/8 (3/7,1/2) 0 26 1/7 1/2 1 13 2/13 (5/8,2/3) 0 26 1/6 (2/3,3/4) 0 26 3/17 3/4 1 13 2/11 1/1 4 2 5/27 5/4 1 13 3/16 (1/1,1/0) 0 26 1/5 0 13 3/14 (0/1,1/3) 0 26 2/9 (1/2,1/1) 0 26 3/13 1/2 1 13 7/30 (0/1,1/3) 0 26 4/17 (0/1,1/2) 0 26 5/21 1/2 1 1 1/4 (1/2,1/1) 0 26 5/19 1/2 1 13 9/34 (1/3,1/2) 0 26 4/15 (0/1,1/2) 0 26 3/11 0 13 11/40 (2/3,1/1) 0 26 8/29 (1/2,2/3) 0 26 5/18 (4/5,1/1) 0 26 2/7 (1/2,1/1) 0 26 7/24 (2/3,1/1) 0 26 12/41 (14/19,3/4) 0 26 5/17 0 13 3/10 1/1 4 2 4/13 (3/2,2/1) 0 26 5/16 (0/1,1/1) 0 26 6/19 (1/1,1/0) 0 26 1/3 1/0 1 13 7/20 (-1/1,1/0) 0 26 6/17 (0/1,1/0) 0 26 5/14 (-1/1,1/0) 0 26 14/39 (-1/2,-2/5) 0 26 23/64 (-1/3,0/1) 0 26 9/25 0 13 4/11 (-1/4,0/1) 0 26 7/19 0/1 9 1 3/8 (0/1,1/5) 0 26 8/21 (0/1,1/4) 0 26 5/13 0 13 7/18 (3/7,1/2) 0 26 9/23 1/2 1 13 2/5 (1/3,1/2) 0 26 9/22 (0/1,1/1) 0 26 7/17 1/2 1 13 12/29 (1/2,3/5) 0 26 5/12 (2/3,1/1) 0 26 8/19 (1/2,1/1) 0 26 19/45 1/2 1 13 11/26 (0/1,1/1) 0 26 14/33 (5/6,1/1) 0 26 3/7 0 13 13/30 (1/2,3/5) 0 26 10/23 (1/2,2/3) 0 26 7/16 (0/1,1/1) 0 26 4/9 1/1 1 2 5/11 1/0 1 13 16/35 (2/1,1/0) 0 26 11/24 (0/1,1/1) 0 26 6/13 (0/1,1/2) 0 26 1/2 (0/1,1/0) 0 26 7/13 1/8 1 13 13/24 (1/7,2/13) 0 26 6/11 (0/1,1/6) 0 26 11/20 (1/5,2/9) 0 26 16/29 (3/13,1/4) 0 26 5/9 0 13 19/34 (0/1,1/3) 0 26 14/25 0/1 1 2 23/41 1/4 1 13 9/16 (1/5,1/4) 0 26 4/7 (1/4,1/3) 0 26 11/19 0 13 18/31 (1/2,1/1) 0 26 7/12 (1/3,1/2) 0 26 17/29 0 13 27/46 (1/3,2/5) 0 26 10/17 (1/3,1/2) 0 26 13/22 (0/1,1/3) 0 26 3/5 1/2 1 13 14/23 (0/1,1/4) 0 26 11/18 (1/3,2/5) 0 26 30/49 (1/3,1/2) 0 26 19/31 0 13 8/13 (2/5,1/2) 0 26 5/8 1/2 2 2 12/19 (1/2,2/3) 0 26 19/30 (1/2,2/3) 0 26 26/41 (5/8,2/3) 0 26 7/11 0 13 9/14 (0/1,1/3) 0 26 20/31 (8/17,1/2) 0 26 51/79 1/2 21 1 31/48 (1/2,13/25) 0 26 11/17 1/2 1 13 2/3 (1/2,1/1) 0 26 15/22 (1/1,4/3) 0 26 13/19 1/0 1 13 11/16 (5/1,1/0) 0 26 20/29 (-3/1,1/0) 0 26 9/13 0 13 7/10 (0/1,1/1) 0 26 19/27 0 13 12/17 (0/1,1/2) 0 26 17/24 (0/1,1/3) 0 26 22/31 (0/1,1/2) 0 26 5/7 1/0 1 13 23/32 (0/1,1/0) 0 26 41/57 0 13 18/25 (-1/1,1/0) 0 26 13/18 (-1/1,0/1) 0 26 21/29 0 13 29/40 (-1/3,0/1) 0 26 8/11 (-1/4,0/1) 0 26 11/15 0/1 8 1 3/4 (0/1,1/4) 0 26 16/21 (0/1,1/0) 0 26 13/17 0 13 23/30 (0/1,1/3) 0 26 10/13 (0/1,1/2) 0 26 7/9 1/4 1 13 18/23 (1/4,1/3) 0 26 11/14 (1/5,1/4) 0 26 15/19 0 13 4/5 (1/3,1/2) 0 26 13/16 (2/7,1/3) 0 26 9/11 3/8 1 13 23/28 (1/3,2/5) 0 26 14/17 (3/8,2/5) 0 26 19/23 0 13 24/29 (2/5,1/2) 0 26 5/6 (2/5,3/7) 0 26 11/13 1/2 1 13 6/7 1/2 5 2 13/15 1/2 1 13 7/8 (4/7,3/5) 0 26 8/9 (1/2,2/3) 0 26 1/1 0 13 9/8 (0/1,1/3) 0 26 8/7 (2/5,1/2) 0 26 7/6 1/2 4 2 20/17 (1/2,6/11) 0 26 33/28 (1/2,3/5) 0 26 13/11 1/2 1 13 6/5 (1/2,3/5) 0 26 23/19 0 13 40/33 (9/14,2/3) 0 26 57/47 2/3 5 1 17/14 (2/3,1/1) 0 26 28/23 (1/2,6/11) 0 26 39/32 (7/12,3/5) 0 26 11/9 5/8 1 13 5/4 (3/4,1/1) 0 26 14/11 (1/2,1/1) 0 26 9/7 1/2 1 13 22/17 1/1 1 2 13/10 (0/1,1/1) 0 26 30/23 (1/2,8/15) 0 26 17/13 0 13 4/3 (3/4,1/1) 0 26 15/11 1/1 8 1 11/8 (1/1,5/4) 0 26 40/29 (4/3,3/2) 0 26 29/21 0 13 18/13 (3/2,2/1) 0 26 25/18 (3/1,1/0) 0 26 57/41 0 13 89/64 (2/1,1/0) 0 26 121/87 1/0 1 1 32/23 (1/1,1/0) 0 26 7/5 1/0 1 13 17/12 (-1/1,0/1) 0 26 10/7 (1/2,2/3) 0 26 23/16 1/1 4 2 13/9 0 13 16/11 (1/2,1/1) 0 26 3/2 (1/1,1/0) 0 26 17/11 1/0 1 13 48/31 (-1/1,1/0) 0 26 79/51 -1/1 1 1 31/20 (-1/1,0/1) 0 26 14/9 (0/1,1/0) 0 26 11/7 0 13 8/5 0/1 1 2 21/13 0 13 34/21 (1/3,1/2) 0 26 81/50 (9/19,1/2) 0 26 47/29 1/2 1 13 13/8 (0/1,1/1) 0 26 31/19 0 13 80/49 (1/2,1/1) 0 26 129/79 1/1 2 1 49/30 (1/1,1/0) 0 26 18/11 (0/1,1/0) 0 26 23/14 (0/1,1/1) 0 26 5/3 1/2 1 13 17/10 (1/2,3/5) 0 26 46/27 (1/2,2/3) 0 26 75/44 (2/3,1/1) 0 26 29/17 0 13 12/7 (1/2,2/3) 0 26 31/18 (2/3,3/4) 0 26 50/29 (3/4,1/1) 0 26 19/11 0 13 26/15 (5/6,1/1) 0 26 33/19 1/1 5 1 7/4 (0/1,1/1) 0 26 16/9 (1/2,1/1) 0 26 41/23 1/2 1 13 25/14 1/1 2 2 59/33 3/2 1 13 34/19 (2/1,1/0) 0 26 9/5 0 13 20/11 (1/2,2/3) 0 26 11/6 (2/3,1/1) 0 26 24/13 (3/4,4/5) 0 26 13/7 3/4 1 13 15/8 (8/9,1/1) 0 26 17/9 1/1 9 1 2/1 (1/1,1/0) 0 26 13/6 (-1/1,1/0) 0 26 24/11 (-1/2,0/1) 0 26 35/16 (-1/1,0/1) 0 26 11/5 -1/2 1 13 9/4 0/1 4 2 25/11 1/6 1 13 16/7 (0/1,1/4) 0 26 23/10 (1/5,1/4) 0 26 30/13 (1/4,1/3) 0 26 7/3 0 13 40/17 (5/16,1/3) 0 26 73/31 1/3 10 1 33/14 (1/3,5/14) 0 26 26/11 (3/8,2/5) 0 26 71/30 (2/5,1/2) 0 26 45/19 1/2 1 13 19/8 (1/3,1/2) 0 26 31/13 1/2 1 13 43/18 (9/19,1/2) 0 26 55/23 1/2 11 1 12/5 (1/2,2/3) 0 26 17/7 1/2 1 13 56/23 (1/2,1/1) 0 26 39/16 (0/1,1/2) 0 26 22/9 (0/1,1/2) 0 26 27/11 0 13 32/13 (5/11,1/2) 0 26 37/15 1/2 7 1 5/2 (1/2,2/3) 0 26 23/9 1/2 1 13 64/25 (1/2,2/3) 0 26 41/16 (1/1,1/0) 0 26 18/7 (1/2,1/1) 0 26 31/12 (3/4,1/1) 0 26 75/29 1/1 6 1 44/17 (1/1,3/2) 0 26 13/5 0 13 21/8 (3/5,2/3) 0 26 29/11 1/2 1 13 66/25 2/3 1 2 37/14 (2/3,1/1) 0 26 8/3 (3/4,1/1) 0 26 19/7 1/1 7 1 11/4 (1/1,4/3) 0 26 47/17 3/2 1 13 36/13 (1/1,3/2) 0 26 25/9 0 13 89/32 (5/3,2/1) 0 26 153/55 2/1 3 1 64/23 (2/1,1/0) 0 26 39/14 (1/1,2/1) 0 26 14/5 (2/1,1/0) 0 26 17/6 (0/1,1/1) 0 26 20/7 (1/1,1/0) 0 26 3/1 1/0 1 13 19/6 (1/1,1/0) 0 26 16/5 (0/1,1/0) 0 26 13/4 (-1/1,0/1) 0 26 10/3 0/1 3 2 27/8 (0/1,1/5) 0 26 17/5 0 13 41/12 (0/1,1/3) 0 26 24/7 (0/1,1/4) 0 26 7/2 (1/2,1/1) 0 26 25/7 -1/2 1 13 43/12 (-1/10,0/1) 0 26 61/17 0/1 16 1 18/5 (0/1,1/6) 0 26 29/8 (0/1,1/5) 0 26 69/19 1/4 1 13 40/11 (1/4,2/7) 0 26 11/3 0 13 26/7 (2/5,1/2) 0 26 41/11 1/2 3 1 15/4 (1/2,1/1) 0 26 34/9 (1/3,1/2) 0 26 87/23 0 13 53/14 (2/5,3/7) 0 26 19/5 1/2 1 13 4/1 (1/2,1/1) 0 26 21/5 1/1 5 1 17/4 (1/1,4/3) 0 26 47/11 0 13 77/18 (7/5,3/2) 0 26 30/7 (3/2,2/1) 0 26 43/10 (1/1,2/1) 0 26 13/3 1/0 1 13 22/5 (1/1,1/0) 0 26 9/2 (1/1,2/1) 0 26 23/5 1/0 1 13 14/3 (-2/1,1/0) 0 26 19/4 (-1/3,0/1) 0 26 43/9 0/1 7 1 24/5 (0/1,1/4) 0 26 5/1 0 13 16/3 (0/1,1/0) 0 26 11/2 0/1 2 2 28/5 (0/1,1/4) 0 26 45/8 (0/1,1/3) 0 26 17/3 1/2 1 13 6/1 (1/2,1/1) 0 26 19/3 0 13 32/5 (-1/4,0/1) 0 26 45/7 0/1 7 1 13/2 (0/1,1/3) 0 26 7/1 1/2 1 13 15/2 (2/3,1/1) 0 26 23/3 1/1 3 1 8/1 (1/1,1/0) 0 26 9/1 0 13 10/1 (1/2,1/1) 0 26 1/0 (0/1,1/1) 0 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(235,-24,284,-29) (0/1,1/9) -> (19/23,24/29) Hyperbolic Matrix(141,-16,326,-37) (1/9,1/8) -> (3/7,13/30) Glide Reflection Matrix(549,-74,230,-31) (1/8,1/7) -> (31/13,43/18) Hyperbolic Matrix(137,-20,226,-33) (1/7,2/13) -> (3/5,14/23) Glide Reflection Matrix(135,-22,178,-29) (2/13,1/6) -> (3/4,16/21) Hyperbolic Matrix(223,-38,88,-15) (1/6,3/17) -> (5/2,23/9) Glide Reflection 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(307,-58,524,-99) (3/16,1/5) -> (7/12,17/29) Glide Reflection 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(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(125,-32,82,-21) (1/4,5/19) -> (3/2,17/11) Glide Reflection Matrix(1069,-282,906,-239) (5/19,9/34) -> (33/28,13/11) Hyperbolic Matrix(535,-142,1232,-327) (9/34,4/15) -> (13/30,10/23) Glide Reflection Matrix(451,-122,122,-33) (4/15,3/11) -> (11/3,26/7) Hyperbolic Matrix(409,-112,734,-201) (3/11,11/40) -> (5/9,19/34) Glide Reflection Matrix(2447,-674,570,-157) (11/40,8/29) -> (30/7,43/10) Hyperbolic Matrix(571,-158,936,-259) (8/29,5/18) -> (14/23,11/18) Glide Reflection Matrix(163,-46,202,-57) (5/18,2/7) -> (4/5,13/16) Hyperbolic Matrix(523,-152,726,-211) (2/7,7/24) -> (18/25,13/18) Glide Reflection Matrix(1369,-400,1126,-329) (7/24,12/41) -> (17/14,28/23) Glide Reflection Matrix(1207,-354,924,-271) (12/41,5/17) -> (30/23,17/13) Glide Reflection 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(239,-74,436,-135) (4/13,5/16) -> (6/11,11/20) Glide Reflection Matrix(673,-212,1146,-361) (5/16,6/19) -> (27/46,10/17) Glide Reflection Matrix(117,-38,40,-13) (6/19,1/3) -> (20/7,3/1) Glide Reflection Matrix(117,-40,38,-13) (1/3,7/20) -> (3/1,19/6) Glide Reflection Matrix(1193,-420,730,-257) (7/20,6/17) -> (49/30,18/11) Glide Reflection Matrix(615,-218,268,-95) (6/17,5/14) -> (16/7,23/10) Glide Reflection Matrix(1913,-686,1570,-563) (5/14,14/39) -> (28/23,39/32) Hyperbolic Matrix(1453,-522,3176,-1141) (14/39,23/64) -> (16/35,11/24) Glide Reflection 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(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(453,-172,640,-243) (3/8,8/21) -> (12/17,17/24) Hyperbolic Matrix(413,-158,264,-101) (8/21,5/13) -> (14/9,11/7) Glide Reflection 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(223,-88,38,-15) (9/23,2/5) -> (17/3,6/1) Glide Reflection 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(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(1499,-632,842,-355) (8/19,19/45) -> (16/9,41/23) Glide Reflection 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(615,-268,218,-95) (10/23,7/16) -> (14/5,17/6) Glide Reflection 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(2855,-1304,786,-359) (5/11,16/35) -> (69/19,40/11) Glide Reflection Matrix(569,-262,784,-361) (11/24,6/13) -> (29/40,8/11) Glide Reflection Matrix(427,-198,248,-115) (6/13,1/2) -> (12/7,31/18) Glide Reflection 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(269,-146,304,-165) (13/24,6/11) -> (7/8,8/9) Glide Reflection Matrix(1071,-592,436,-241) (16/29,5/9) -> (27/11,32/13) 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(1499,-842,632,-355) (23/41,9/16) -> (45/19,19/8) Glide Reflection 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(427,-248,198,-115) (18/31,7/12) -> (2/1,13/6) Glide Reflection Matrix(2655,-1558,622,-365) (17/29,27/46) -> (17/4,47/11) Hyperbolic Matrix(229,-136,32,-19) (13/22,3/5) -> (7/1,15/2) Hyperbolic Matrix(1193,-730,420,-257) (11/18,30/49) -> (17/6,20/7) Glide Reflection Matrix(3999,-2450,2450,-1501) (30/49,19/31) -> (31/19,80/49) Hyperbolic Matrix(935,-574,676,-415) (19/31,8/13) -> (29/21,18/13) Glide Reflection 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(413,-264,158,-101) (7/11,9/14) -> (13/5,21/8) Glide Reflection Matrix(823,-530,632,-407) (9/14,20/31) -> (13/10,30/23) Glide Reflection Matrix(3161,-2040,4898,-3161) (20/31,51/79) -> (20/31,51/79) Reflection Matrix(4897,-3162,7584,-4897) (51/79,31/48) -> (51/79,31/48) Reflection Matrix(3633,-2348,2242,-1449) (31/48,11/17) -> (81/50,47/29) Glide Reflection Matrix(125,-82,32,-21) (11/17,2/3) -> (19/5,4/1) Glide Reflection 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(935,-676,574,-415) (13/18,21/29) -> (13/8,31/19) Glide Reflection Matrix(301,-218,272,-197) (21/29,29/40) -> (1/1,9/8) 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(943,-720,148,-113) (16/21,13/17) -> (19/3,32/5) Hyperbolic Matrix(1207,-924,354,-271) (13/17,23/30) -> (17/5,41/12) Glide Reflection Matrix(823,-632,530,-407) (23/30,10/13) -> (31/20,14/9) Glide Reflection 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(1369,-1126,400,-329) (23/28,14/17) -> (41/12,24/7) Glide Reflection Matrix(1311,-1082,1082,-893) (14/17,19/23) -> (23/19,40/33) Hyperbolic Matrix(255,-214,56,-47) (5/6,11/13) -> (9/2,23/5) Glide Reflection 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(301,-272,218,-197) (8/9,1/1) -> (40/29,29/21) Glide Reflection Matrix(269,-304,146,-165) (9/8,8/7) -> (11/6,24/13) Glide Reflection 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(3761,-4560,3102,-3761) (40/33,57/47) -> (40/33,57/47) Reflection Matrix(1597,-1938,1316,-1597) (57/47,17/14) -> (57/47,17/14) Reflection 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(135,-178,22,-29) (17/13,4/3) -> (6/1,19/3) 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(569,-784,262,-361) (11/8,40/29) -> (13/6,24/11) Glide Reflection Matrix(523,-726,152,-211) (18/13,25/18) -> (24/7,7/2) Glide Reflection Matrix(4003,-5564,936,-1301) (25/18,57/41) -> (47/11,77/18) Hyperbolic Matrix(15487,-21538,11136,-15487) (89/64,121/87) -> (89/64,121/87) Reflection Matrix(5567,-7744,4002,-5567) (121/87,32/23) -> (121/87,32/23) Reflection 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(1143,-1768,470,-727) (17/11,48/31) -> (17/7,56/23) Glide Reflection Matrix(4897,-7584,3162,-4897) (48/31,79/51) -> (48/31,79/51) Reflection Matrix(3161,-4898,2040,-3161) (79/51,31/20) -> (79/51,31/20) Reflection 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(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(673,-1146,212,-361) (17/10,46/27) -> (19/6,16/5) Glide Reflection Matrix(4729,-8062,1250,-2131) (75/44,29/17) -> (87/23,53/14) Hyperbolic Matrix(307,-524,58,-99) (29/17,12/7) -> (5/1,16/3) Glide Reflection Matrix(2139,-3686,878,-1513) (31/18,50/29) -> (56/23,39/16) Hyperbolic Matrix(989,-1716,570,-989) (26/15,33/19) -> (26/15,33/19) Reflection Matrix(265,-462,152,-265) (33/19,7/4) -> (33/19,7/4) Reflection Matrix(169,-298,38,-67) (7/4,16/9) -> (22/5,9/2) Hyperbolic Matrix(1401,-2500,784,-1399) (41/23,25/14) -> (25/14,59/33) Parabolic Matrix(409,-734,112,-201) (34/19,9/5) -> (40/11,11/3) Glide Reflection Matrix(407,-738,166,-301) (9/5,20/11) -> (22/9,27/11) Hyperbolic Matrix(239,-436,74,-135) (20/11,11/6) -> (16/5,13/4) Glide Reflection Matrix(747,-1384,292,-541) (24/13,13/7) -> (23/9,64/25) Hyperbolic Matrix(271,-510,144,-271) (15/8,17/9) -> (15/8,17/9) Reflection Matrix(35,-68,18,-35) (17/9,2/1) -> (17/9,2/1) Reflection Matrix(1453,-3176,522,-1141) (24/11,35/16) -> (64/23,39/14) Glide Reflection Matrix(423,-928,98,-215) (35/16,11/5) -> (43/10,13/3) Glide Reflection Matrix(145,-324,64,-143) (11/5,9/4) -> (9/4,25/11) 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(2481,-5840,1054,-2481) (40/17,73/31) -> (40/17,73/31) Reflection Matrix(2045,-4818,868,-2045) (73/31,33/14) -> (73/31,33/14) Reflection Matrix(1347,-3178,526,-1241) (33/14,26/11) -> (64/25,41/16) Hyperbolic Matrix(1979,-4730,828,-1979) (43/18,55/23) -> (43/18,55/23) Reflection Matrix(551,-1320,230,-551) (55/23,12/5) -> (55/23,12/5) Reflection Matrix(213,-514,46,-111) (12/5,17/7) -> (23/5,14/3) Hyperbolic Matrix(961,-2368,390,-961) (32/13,37/15) -> (32/13,37/15) Reflection Matrix(149,-370,60,-149) (37/15,5/2) -> (37/15,5/2) Reflection 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(9791,-27234,3520,-9791) (89/32,153/55) -> (89/32,153/55) Reflection Matrix(7039,-19584,2530,-7039) (153/55,64/23) -> (153/55,64/23) Reflection Matrix(617,-1722,110,-307) (39/14,14/5) -> (28/5,45/8) Hyperbolic Matrix(121,-400,36,-119) (13/4,10/3) -> (10/3,27/8) Parabolic 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(573,-2132,154,-573) (26/7,41/11) -> (26/7,41/11) Reflection Matrix(329,-1230,88,-329) (41/11,15/4) -> (41/11,15/4) 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(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(89,-484,16,-87) (16/3,11/2) -> (11/2,28/5) Parabolic Matrix(449,-2880,70,-449) (32/5,45/7) -> (32/5,45/7) Reflection Matrix(181,-1170,28,-181) (45/7,13/2) -> (45/7,13/2) Reflection 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(1,0,2,-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(235,-24,284,-29) -> Matrix(3,-2,8,-5) 1/2 Matrix(141,-16,326,-37) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(549,-74,230,-31) -> Matrix(11,-6,24,-13) 1/2 Matrix(137,-20,226,-33) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(135,-22,178,-29) -> Matrix(3,-2,8,-5) 1/2 Matrix(223,-38,88,-15) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(89,-16,484,-87) -> Matrix(9,-8,8,-7) 1/1 Matrix(1229,-228,1008,-187) -> Matrix(7,-10,12,-17) Matrix(307,-58,524,-99) -> Matrix(1,-2,2,-5) Matrix(301,-64,428,-91) -> Matrix(1,0,-2,1) 0/1 Matrix(213,-46,514,-111) -> Matrix(5,-2,8,-3) 1/2 Matrix(297,-68,380,-87) -> Matrix(1,0,2,1) 0/1 Matrix(2447,-570,674,-157) -> Matrix(1,0,2,1) 0/1 Matrix(2655,-622,1558,-365) -> Matrix(5,-2,8,-3) 1/2 Matrix(169,-40,714,-169) -> Matrix(1,0,4,-1) (4/17,5/21) -> (0/1,1/2) Matrix(41,-10,168,-41) -> Matrix(3,-2,4,-3) (5/21,1/4) -> (1/2,1/1) Matrix(125,-32,82,-21) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1069,-282,906,-239) -> Matrix(9,-4,16,-7) 1/2 Matrix(535,-142,1232,-327) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(451,-122,122,-33) -> Matrix(3,-2,8,-5) 1/2 Matrix(409,-112,734,-201) -> Matrix(3,-2,10,-7) Matrix(2447,-674,570,-157) -> Matrix(5,-4,4,-3) 1/1 Matrix(571,-158,936,-259) -> Matrix(3,-2,10,-7) Matrix(163,-46,202,-57) -> Matrix(3,-2,8,-5) 1/2 Matrix(523,-152,726,-211) -> Matrix(3,-2,-2,1) Matrix(1369,-400,1126,-329) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(1207,-354,924,-271) -> Matrix(13,-10,22,-17) Matrix(521,-154,362,-107) -> Matrix(5,-4,4,-3) 1/1 Matrix(399,-122,278,-85) -> Matrix(3,-4,4,-5) 1/1 Matrix(239,-74,436,-135) -> Matrix(1,-2,4,-9) Matrix(673,-212,1146,-361) -> Matrix(1,-2,2,-5) Matrix(117,-38,40,-13) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(117,-40,38,-13) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1193,-420,730,-257) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(615,-218,268,-95) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1913,-686,1570,-563) -> Matrix(7,4,12,7) Matrix(1453,-522,3176,-1141) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(3825,-1376,1376,-495) -> Matrix(1,2,0,1) 1/0 Matrix(727,-262,1146,-413) -> Matrix(3,2,4,3) Matrix(153,-56,418,-153) -> Matrix(-1,0,8,1) (4/11,7/19) -> (-1/4,0/1) Matrix(113,-42,304,-113) -> Matrix(1,0,10,-1) (7/19,3/8) -> (0/1,1/5) Matrix(453,-172,640,-243) -> Matrix(1,0,-2,1) 0/1 Matrix(413,-158,264,-101) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(413,-160,524,-203) -> Matrix(5,-2,18,-7) 1/3 Matrix(487,-190,710,-277) -> Matrix(3,-2,2,-1) 1/1 Matrix(223,-88,38,-15) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(407,-166,738,-301) -> Matrix(3,-2,14,-9) Matrix(1255,-514,774,-317) -> Matrix(1,0,0,1) Matrix(479,-198,404,-167) -> Matrix(11,-6,20,-11) *** -> (1/2,3/5) Matrix(367,-154,622,-261) -> Matrix(3,-2,8,-5) 1/2 Matrix(1499,-632,842,-355) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(1717,-726,622,-263) -> Matrix(5,-4,4,-3) 1/1 Matrix(547,-232,804,-341) -> Matrix(5,-4,4,-3) 1/1 Matrix(511,-218,218,-93) -> Matrix(1,0,2,1) 0/1 Matrix(615,-268,218,-95) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(469,-206,362,-159) -> Matrix(1,0,0,1) Matrix(323,-146,250,-113) -> Matrix(1,-2,2,-3) 1/1 Matrix(2855,-1304,786,-359) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(569,-262,784,-361) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(427,-198,248,-115) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(609,-326,170,-91) -> Matrix(1,0,-10,1) 0/1 Matrix(507,-274,742,-401) -> Matrix(15,-2,8,-1) Matrix(269,-146,304,-165) -> Matrix(11,-2,16,-3) Matrix(1071,-592,436,-241) -> Matrix(7,-2,18,-5) 1/3 Matrix(3169,-1772,1200,-671) -> Matrix(5,-2,8,-3) 1/2 Matrix(3431,-1924,1300,-729) -> Matrix(9,-2,14,-3) Matrix(1499,-842,632,-355) -> Matrix(9,-2,22,-5) Matrix(365,-206,466,-263) -> Matrix(1,0,0,1) Matrix(627,-362,362,-209) -> Matrix(11,-4,14,-5) Matrix(659,-382,954,-553) -> Matrix(5,-2,-2,1) Matrix(427,-248,198,-115) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(2655,-1558,622,-365) -> Matrix(7,-2,4,-1) Matrix(229,-136,32,-19) -> Matrix(5,-2,8,-3) 1/2 Matrix(1193,-730,420,-257) -> Matrix(5,-2,2,-1) Matrix(3999,-2450,2450,-1501) -> Matrix(5,-2,8,-3) 1/2 Matrix(935,-574,676,-415) -> Matrix(11,-4,8,-3) Matrix(161,-100,256,-159) -> Matrix(9,-4,16,-7) 1/2 Matrix(1401,-886,574,-363) -> Matrix(3,-2,8,-5) 1/2 Matrix(3691,-2340,1560,-989) -> Matrix(7,-4,16,-9) 1/2 Matrix(413,-264,158,-101) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(823,-530,632,-407) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(3161,-2040,4898,-3161) -> Matrix(33,-16,68,-33) (20/31,51/79) -> (8/17,1/2) Matrix(4897,-3162,7584,-4897) -> Matrix(51,-26,100,-51) (51/79,31/48) -> (1/2,13/25) Matrix(3633,-2348,2242,-1449) -> Matrix(7,-4,12,-7) *** -> (1/2,2/3) Matrix(125,-82,32,-21) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(2893,-1994,1786,-1231) -> Matrix(1,4,2,9) Matrix(521,-362,154,-107) -> Matrix(1,0,4,1) 0/1 Matrix(733,-516,152,-107) -> Matrix(1,0,2,1) 0/1 Matrix(731,-518,882,-625) -> Matrix(3,-2,8,-5) 1/2 Matrix(2067,-1468,1156,-821) -> Matrix(3,-2,2,-1) 1/1 Matrix(1937,-1390,818,-587) -> Matrix(1,2,2,5) Matrix(6897,-4960,4960,-3567) -> Matrix(1,2,0,1) 1/0 Matrix(4113,-2960,1088,-783) -> Matrix(1,2,2,5) Matrix(935,-676,574,-415) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(301,-218,272,-197) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(241,-176,330,-241) -> Matrix(-1,0,8,1) (8/11,11/15) -> (-1/4,0/1) Matrix(89,-66,120,-89) -> Matrix(1,0,8,-1) (11/15,3/4) -> (0/1,1/4) Matrix(943,-720,148,-113) -> Matrix(1,0,-4,1) 0/1 Matrix(1207,-924,354,-271) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(823,-632,530,-407) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(469,-362,206,-159) -> Matrix(1,0,2,1) 0/1 Matrix(901,-712,348,-275) -> Matrix(7,-2,4,-1) Matrix(373,-304,200,-163) -> Matrix(17,-6,20,-7) Matrix(971,-796,172,-141) -> Matrix(5,-2,18,-7) 1/3 Matrix(1369,-1126,400,-329) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(1311,-1082,1082,-893) -> Matrix(29,-12,46,-19) Matrix(255,-214,56,-47) -> Matrix(9,-4,2,-1) Matrix(169,-144,196,-167) -> Matrix(21,-10,40,-19) 1/2 Matrix(947,-822,250,-217) -> Matrix(11,-6,24,-13) 1/2 Matrix(301,-272,218,-197) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(269,-304,146,-165) -> Matrix(7,-2,10,-3) Matrix(169,-196,144,-167) -> Matrix(17,-8,32,-15) 1/2 Matrix(2149,-2530,502,-591) -> Matrix(29,-16,20,-11) Matrix(235,-284,24,-29) -> Matrix(3,-2,8,-5) 1/2 Matrix(3761,-4560,3102,-3761) -> Matrix(55,-36,84,-55) (40/33,57/47) -> (9/14,2/3) Matrix(1597,-1938,1316,-1597) -> Matrix(5,-4,6,-5) (57/47,17/14) -> (2/3,1/1) Matrix(163,-202,46,-57) -> Matrix(3,-2,2,-1) 1/1 Matrix(413,-524,160,-203) -> Matrix(1,0,0,1) Matrix(297,-380,68,-87) -> Matrix(3,-2,2,-1) 1/1 Matrix(135,-178,22,-29) -> Matrix(3,-2,2,-1) 1/1 Matrix(89,-120,66,-89) -> Matrix(7,-6,8,-7) (4/3,15/11) -> (3/4,1/1) Matrix(241,-330,176,-241) -> Matrix(9,-10,8,-9) (15/11,11/8) -> (1/1,5/4) Matrix(569,-784,262,-361) -> Matrix(3,-4,-4,5) Matrix(523,-726,152,-211) -> Matrix(1,-2,2,-5) Matrix(4003,-5564,936,-1301) -> Matrix(3,-2,2,-1) 1/1 Matrix(15487,-21538,11136,-15487) -> Matrix(-1,4,0,1) (89/64,121/87) -> (2/1,1/0) Matrix(5567,-7744,4002,-5567) -> Matrix(-1,2,0,1) (121/87,32/23) -> (1/1,1/0) Matrix(1261,-1756,456,-635) -> Matrix(3,-2,2,-1) 1/1 Matrix(453,-640,172,-243) -> Matrix(1,-2,2,-3) 1/1 Matrix(301,-428,64,-91) -> Matrix(1,0,-2,1) 0/1 Matrix(659,-954,382,-553) -> Matrix(1,-2,2,-3) 1/1 Matrix(487,-710,190,-277) -> Matrix(1,0,0,1) Matrix(1143,-1768,470,-727) -> Matrix(1,2,2,3) Matrix(4897,-7584,3162,-4897) -> Matrix(1,2,0,-1) (48/31,79/51) -> (-1/1,1/0) Matrix(3161,-4898,2040,-3161) -> Matrix(-1,0,2,1) (79/51,31/20) -> (-1/1,0/1) Matrix(161,-256,100,-159) -> Matrix(1,0,2,1) 0/1 Matrix(993,-1606,358,-579) -> Matrix(7,-2,4,-1) Matrix(12641,-20640,7742,-12641) -> Matrix(3,-2,4,-3) (80/49,129/79) -> (1/2,1/1) Matrix(7741,-12642,4740,-7741) -> Matrix(-1,2,0,1) (129/79,49/30) -> (1/1,1/0) Matrix(571,-936,158,-259) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(137,-226,20,-33) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(367,-622,154,-261) -> Matrix(7,-4,16,-9) 1/2 Matrix(673,-1146,212,-361) -> Matrix(3,-2,-2,1) Matrix(4729,-8062,1250,-2131) -> Matrix(7,-4,16,-9) 1/2 Matrix(307,-524,58,-99) -> Matrix(3,-2,-2,1) Matrix(2139,-3686,878,-1513) -> Matrix(3,-2,2,-1) 1/1 Matrix(989,-1716,570,-989) -> Matrix(11,-10,12,-11) (26/15,33/19) -> (5/6,1/1) Matrix(265,-462,152,-265) -> Matrix(1,0,2,-1) (33/19,7/4) -> (0/1,1/1) Matrix(169,-298,38,-67) -> Matrix(3,-2,2,-1) 1/1 Matrix(1401,-2500,784,-1399) -> Matrix(5,-4,4,-3) 1/1 Matrix(409,-734,112,-201) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(407,-738,166,-301) -> Matrix(3,-2,8,-5) 1/2 Matrix(239,-436,74,-135) -> Matrix(3,-2,-2,1) Matrix(747,-1384,292,-541) -> Matrix(3,-2,2,-1) 1/1 Matrix(271,-510,144,-271) -> Matrix(17,-16,18,-17) (15/8,17/9) -> (8/9,1/1) Matrix(35,-68,18,-35) -> Matrix(-1,2,0,1) (17/9,2/1) -> (1/1,1/0) Matrix(1453,-3176,522,-1141) -> Matrix(3,2,2,1) Matrix(423,-928,98,-215) -> Matrix(3,2,2,1) Matrix(145,-324,64,-143) -> Matrix(1,0,8,1) 0/1 Matrix(535,-1232,142,-327) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(141,-326,16,-37) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(2481,-5840,1054,-2481) -> Matrix(31,-10,96,-31) (40/17,73/31) -> (5/16,1/3) Matrix(2045,-4818,868,-2045) -> Matrix(29,-10,84,-29) (73/31,33/14) -> (1/3,5/14) Matrix(1347,-3178,526,-1241) -> Matrix(11,-4,14,-5) Matrix(1979,-4730,828,-1979) -> Matrix(37,-18,76,-37) (43/18,55/23) -> (9/19,1/2) Matrix(551,-1320,230,-551) -> Matrix(7,-4,12,-7) (55/23,12/5) -> (1/2,2/3) Matrix(213,-514,46,-111) -> Matrix(1,0,-2,1) 0/1 Matrix(961,-2368,390,-961) -> Matrix(21,-10,44,-21) (32/13,37/15) -> (5/11,1/2) Matrix(149,-370,60,-149) -> Matrix(7,-4,12,-7) (37/15,5/2) -> (1/2,2/3) Matrix(1799,-4650,696,-1799) -> Matrix(7,-6,8,-7) (31/12,75/29) -> (3/4,1/1) Matrix(2551,-6600,986,-2551) -> Matrix(5,-6,4,-5) (75/29,44/17) -> (1/1,3/2) Matrix(143,-378,14,-37) -> Matrix(3,-2,2,-1) 1/1 Matrix(113,-304,42,-113) -> Matrix(7,-6,8,-7) (8/3,19/7) -> (3/4,1/1) Matrix(153,-418,56,-153) -> Matrix(7,-8,6,-7) (19/7,11/4) -> (1/1,4/3) Matrix(9791,-27234,3520,-9791) -> Matrix(11,-20,6,-11) (89/32,153/55) -> (5/3,2/1) Matrix(7039,-19584,2530,-7039) -> Matrix(-1,4,0,1) (153/55,64/23) -> (2/1,1/0) Matrix(617,-1722,110,-307) -> Matrix(1,-2,4,-7) Matrix(121,-400,36,-119) -> Matrix(1,0,6,1) 0/1 Matrix(1463,-5246,408,-1463) -> Matrix(-1,0,20,1) (43/12,61/17) -> (-1/10,0/1) Matrix(611,-2196,170,-611) -> Matrix(1,0,12,-1) (61/17,18/5) -> (0/1,1/6) Matrix(573,-2132,154,-573) -> Matrix(9,-4,20,-9) (26/7,41/11) -> (2/5,1/2) Matrix(329,-1230,88,-329) -> Matrix(3,-2,4,-3) (41/11,15/4) -> (1/2,1/1) Matrix(41,-168,10,-41) -> Matrix(3,-2,4,-3) (4/1,21/5) -> (1/2,1/1) Matrix(169,-714,40,-169) -> Matrix(7,-8,6,-7) (21/5,17/4) -> (1/1,4/3) Matrix(343,-1634,72,-343) -> Matrix(-1,0,6,1) (19/4,43/9) -> (-1/3,0/1) Matrix(431,-2064,90,-431) -> Matrix(1,0,8,-1) (43/9,24/5) -> (0/1,1/4) Matrix(89,-484,16,-87) -> Matrix(1,0,4,1) 0/1 Matrix(449,-2880,70,-449) -> Matrix(-1,0,8,1) (32/5,45/7) -> (-1/4,0/1) Matrix(181,-1170,28,-181) -> Matrix(1,0,6,-1) (45/7,13/2) -> (0/1,1/3) Matrix(91,-690,12,-91) -> Matrix(5,-4,6,-5) (15/2,23/3) -> (2/3,1/1) Matrix(47,-368,6,-47) -> Matrix(-1,2,0,1) (23/3,8/1) -> (1/1,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.