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): 2880 Minimal number of generators: 481 Number of equivalence classes of cusps: 90 Genus: 196 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 0/1 4/27 7/24 8/23 9/22 1/2 11/20 34/59 12/19 13/18 41/52 14/17 1/1 8/7 67/57 17/14 52/41 35/27 18/13 3/2 94/61 19/12 115/71 39/23 59/34 20/11 2/1 43/19 87/37 131/55 22/9 5/2 67/26 13/5 157/60 45/17 68/25 183/65 23/8 3/1 47/15 16/5 95/29 24/7 7/2 145/41 170/47 11/3 122/33 49/13 19/5 123/32 4/1 25/6 17/4 13/3 22/5 9/2 23/5 51/11 14/3 19/4 24/5 77/16 5/1 26/5 21/4 16/3 27/5 11/2 17/3 23/4 6/1 25/4 19/3 13/2 20/3 27/4 7/1 22/3 15/2 23/3 8/1 17/2 9/1 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 1/4 -9/19 1/3 1/2 -8/17 0/1 1/2 -7/15 5/21 1/4 -20/43 1/4 18/71 -13/28 1/4 -6/13 5/18 2/7 -17/37 1/4 1/3 -11/24 7/24 -5/11 1/3 1/2 -14/31 -1/2 0/1 -23/51 1/9 1/8 -9/20 3/16 -13/29 3/13 1/4 -4/9 1/4 4/15 -19/43 11/39 13/46 -15/34 15/52 -26/59 2/7 3/10 -11/25 5/17 3/10 -18/41 1/4 2/7 -7/16 5/16 -17/39 1/3 9/26 -10/23 3/8 2/5 -13/30 3/8 -3/7 1/5 1/4 -20/47 1/4 14/55 -17/40 1/4 -14/33 9/34 4/15 -11/26 1/4 -41/97 7/26 3/11 -30/71 7/26 10/37 -19/45 3/11 11/40 -8/19 9/32 2/7 -29/69 21/73 19/66 -21/50 29/100 -34/81 7/24 40/137 -13/31 5/17 13/44 -31/74 31/104 -18/43 3/10 16/53 -5/12 5/16 -17/41 1/3 13/38 -12/29 5/14 4/11 -31/75 3/8 5/13 -50/121 2/5 9/22 -19/46 3/8 -26/63 2/5 1/2 -33/80 3/8 -40/97 11/28 2/5 -7/17 3/7 1/2 -23/56 7/8 -16/39 -2/1 1/0 -25/61 -1/3 -1/4 -9/22 1/8 -11/27 1/5 1/4 -2/5 1/4 2/7 -13/33 5/16 1/3 -11/28 13/40 -9/23 1/3 9/26 -16/41 5/14 4/11 -7/18 5/12 -33/85 15/31 1/2 -26/67 1/2 10/19 -19/49 1/2 1/1 -12/31 0/1 1/2 -17/44 -1/4 -5/13 1/4 1/3 -23/60 1/0 -18/47 0/1 1/10 -13/34 1/4 -47/123 1/2 1/1 -34/89 0/1 1/10 -21/55 3/16 1/5 -8/21 2/9 1/4 -11/29 1/4 5/19 -25/66 1/4 -14/37 1/4 2/7 -31/82 19/68 -17/45 1/4 1/3 -3/8 1/4 -13/35 3/10 13/43 -10/27 4/13 13/42 -17/46 29/92 -7/19 11/34 1/3 -11/30 15/44 -26/71 10/29 9/26 -15/41 7/20 13/37 -19/52 23/64 -4/11 2/5 1/2 -13/36 1/0 -9/25 1/4 1/3 -14/39 3/10 4/13 -33/92 13/40 -19/53 1/3 7/20 -5/14 1/4 -16/45 0/1 1/2 -11/31 1/5 1/4 -6/17 1/4 2/7 -13/37 1/3 1/2 -20/57 5/18 2/7 -27/77 5/17 3/10 -7/20 5/16 -1/3 1/3 1/2 -6/19 1/4 2/7 -23/73 3/11 5/18 -40/127 13/46 2/7 -17/54 7/24 -11/35 5/17 3/10 -5/16 9/28 -9/29 1/3 19/56 -13/42 29/84 -4/13 5/14 4/11 -15/49 13/35 3/8 -26/85 3/8 20/53 -11/36 3/8 -7/23 3/8 5/13 -17/56 11/28 -10/33 2/5 5/12 -3/10 3/8 -14/47 2/5 1/2 -11/37 5/12 3/7 -19/64 7/16 -8/27 4/9 1/2 -5/17 1/2 1/1 -17/58 1/0 -12/41 0/1 1/6 -7/24 1/0 -9/31 3/10 1/3 -2/7 0/1 1/4 -11/39 7/23 11/36 -9/32 5/16 -16/57 6/19 7/22 -7/25 13/40 1/3 -5/18 11/32 -13/47 7/20 13/37 -21/76 31/88 -50/181 6/17 77/218 -29/105 29/82 23/65 -8/29 16/45 5/14 -19/69 41/114 9/25 -11/40 29/80 -14/51 26/71 11/30 -3/11 3/8 5/13 -13/48 19/48 -10/37 2/5 13/32 -7/26 7/16 -11/41 3/7 1/2 -15/56 1/4 -19/71 1/3 5/14 -23/86 3/8 -4/15 3/8 2/5 -13/49 3/7 7/16 -22/83 1/2 2/3 -9/34 5/12 -14/53 7/16 4/9 -5/19 5/11 1/2 -6/23 1/2 4/7 -7/27 1/1 1/0 -1/4 1/4 -5/21 13/35 3/8 -4/17 11/28 2/5 -15/64 37/92 -11/47 15/37 13/32 -7/30 5/12 -10/43 2/5 1/2 -13/56 13/32 -3/13 3/7 1/2 -20/87 11/28 2/5 -17/74 13/32 -14/61 5/12 8/19 -11/48 5/12 -8/35 10/23 7/16 -21/92 23/52 -34/149 4/9 33/74 -13/57 9/20 5/11 -5/22 9/20 -7/31 11/23 1/2 -2/9 1/2 2/3 -7/32 3/4 -12/55 3/2 2/1 -5/23 1/1 1/0 -13/60 1/0 -21/97 -1/1 -1/2 -8/37 -1/2 0/1 -11/51 -1/5 -1/6 -14/65 -1/20 0/1 -3/14 1/8 -10/47 3/14 2/9 -17/80 1/4 -7/33 5/21 1/4 -11/52 1/4 -15/71 5/18 7/25 -4/19 1/4 2/7 -5/24 7/24 -6/29 5/16 6/19 -7/34 13/40 -1/5 1/3 3/8 -4/21 4/9 1/2 -3/16 9/20 -5/27 13/27 1/2 -2/11 1/2 4/7 -5/28 3/4 -8/45 1/2 2/3 -3/17 1/1 3/2 -10/57 -8/1 1/0 -7/40 -5/4 -11/63 -5/9 -1/2 -4/23 -1/6 0/1 -9/52 1/20 -5/29 1/7 1/6 -1/6 1/4 -3/19 7/19 3/8 -2/13 3/8 2/5 -7/46 3/8 -5/33 9/23 11/28 -8/53 31/78 2/5 -3/20 13/32 -1/7 5/11 1/2 -2/15 5/8 2/3 -3/23 1/1 5/4 -1/8 1/4 -2/17 1/4 2/7 -3/26 5/16 -1/9 1/3 3/8 -1/10 5/12 -1/11 9/19 1/2 -1/12 7/12 0/1 0/1 1/2 1/9 1/2 9/17 1/8 5/8 3/23 3/4 7/9 2/15 0/1 1/2 1/7 3/4 1/1 4/27 1/1 7/47 1/1 13/12 3/20 5/4 5/33 3/2 5/3 2/13 2/1 1/0 3/19 -1/1 -1/2 4/25 0/1 1/2 1/6 1/0 5/29 1/4 1/3 4/23 2/9 1/4 7/40 1/4 3/17 5/16 1/3 2/11 2/5 5/12 3/16 11/24 1/5 1/2 5/9 4/19 18/29 5/8 11/52 5/8 7/33 19/30 7/11 3/14 13/20 5/23 11/16 9/13 2/9 2/3 3/4 5/22 5/8 3/13 3/4 7/9 7/30 3/4 4/17 4/5 5/6 1/4 1/0 7/27 1/1 1/0 6/23 -1/2 0/1 11/42 1/0 5/19 -1/2 -1/3 4/15 0/1 1/10 7/26 5/24 3/11 3/10 1/3 5/18 3/8 7/25 1/2 1/1 2/7 4/9 1/2 7/24 1/2 12/41 1/2 30/59 5/17 1/2 13/25 13/44 17/32 8/27 8/15 15/28 11/37 1/2 5/9 14/47 1/2 6/11 3/10 9/16 7/23 1/2 3/5 11/36 7/12 4/13 1/2 4/7 9/29 3/5 23/38 5/16 5/8 1/3 3/4 1/1 8/23 1/1 15/43 1/1 29/28 7/20 13/12 13/37 1/1 7/6 19/54 33/28 6/17 6/5 5/4 11/31 1/1 5/4 5/14 7/4 9/25 -1/1 1/0 4/11 2/1 1/0 23/63 3/2 5/3 19/52 1/0 15/41 7/3 5/2 26/71 13/4 10/3 11/30 1/0 7/19 -5/1 1/0 3/8 -1/4 11/29 1/10 1/9 8/21 0/1 1/6 13/34 1/4 31/81 3/10 1/3 18/47 0/1 1/8 5/13 1/4 1/3 17/44 1/4 12/31 2/7 3/10 7/18 3/8 16/41 2/5 5/12 9/23 1/2 3/5 11/28 1/0 2/5 2/5 1/2 9/22 1/2 16/39 1/2 24/47 7/17 1/2 11/21 19/46 17/32 12/29 1/2 6/11 17/41 17/31 11/20 5/12 9/16 18/43 1/2 2/3 31/74 3/4 13/31 5/9 9/16 21/50 23/40 8/19 7/12 10/17 27/64 55/92 46/109 3/5 19/45 3/5 35/58 11/26 5/8 25/59 7/11 9/14 14/33 8/13 5/8 17/40 13/20 3/7 1/2 3/5 10/23 1/2 2/3 7/16 5/8 18/41 23/36 16/25 29/66 67/104 11/25 13/20 15/23 4/9 2/3 11/16 9/20 29/40 14/31 14/19 31/42 5/11 3/4 13/17 11/24 19/24 6/13 4/5 5/6 13/28 3/4 7/15 5/6 11/13 1/2 1/0 8/15 1/4 2/7 15/28 5/12 22/41 2/5 1/2 7/13 1/4 1/3 20/37 2/5 5/12 13/24 3/8 19/35 5/12 3/7 6/11 4/9 1/2 11/20 1/2 16/29 1/2 14/27 5/9 1/2 5/9 9/16 5/8 4/7 2/3 3/4 19/33 5/6 1/1 34/59 1/1 49/85 1/1 7/6 15/26 1/0 41/71 1/2 1/1 26/45 2/5 1/2 11/19 1/2 3/5 29/50 1/0 18/31 0/1 1/0 25/43 7/15 1/2 32/55 1/2 14/27 7/12 7/12 31/53 3/5 11/18 55/94 5/8 24/41 5/8 12/19 17/29 3/5 5/8 27/46 33/52 37/63 25/39 9/14 10/17 13/20 2/3 3/5 5/7 3/4 17/28 31/40 31/51 7/9 25/32 14/23 11/14 26/33 25/41 31/39 35/44 11/18 29/36 8/13 5/6 16/19 29/47 23/27 29/34 21/34 31/36 55/89 13/15 59/68 89/144 7/8 34/55 7/8 8/9 47/76 7/8 60/97 5/6 6/7 13/21 13/15 7/8 44/71 23/26 8/9 75/121 15/17 23/26 31/50 25/28 18/29 7/8 8/9 23/37 5/6 1/1 5/8 11/12 12/19 1/1 19/30 37/36 7/11 1/1 13/12 30/47 9/8 44/39 23/36 23/20 16/25 7/6 6/5 25/39 1/1 7/6 9/14 5/4 38/59 5/4 34/27 29/45 9/7 13/10 20/31 5/4 4/3 11/17 11/8 7/5 24/37 34/23 3/2 13/20 19/12 2/3 0/1 1/0 13/19 5/11 1/2 37/54 19/36 24/35 9/16 4/7 11/16 3/4 31/45 7/10 5/7 20/29 3/4 4/5 9/13 1/1 3/2 34/49 3/2 2/1 25/36 1/0 66/95 3/2 2/1 41/59 3/1 7/2 16/23 -4/1 1/0 39/56 -9/8 62/89 -7/8 -6/7 23/33 -3/5 -1/2 7/10 1/4 26/37 1/2 2/3 71/101 1/2 1/1 45/64 3/4 64/91 1/1 19/27 1/1 1/0 31/44 1/4 43/61 1/1 1/0 12/17 -1/2 0/1 5/7 1/3 1/2 13/18 1/2 21/29 1/2 9/17 8/11 1/2 4/7 27/37 3/5 11/18 19/26 7/12 49/67 23/37 5/8 30/41 9/14 2/3 11/15 3/5 5/8 36/49 3/4 4/5 25/34 5/8 39/53 1/2 3/5 14/19 1/2 2/3 17/23 7/10 5/7 20/27 3/4 4/5 3/4 3/4 16/21 1/2 6/11 13/17 1/2 1/1 23/30 7/12 10/13 5/8 2/3 7/9 5/7 3/4 25/32 7/8 43/55 1/1 5/4 18/23 1/2 2/3 11/14 3/4 26/33 20/27 3/4 41/52 3/4 56/71 3/4 46/61 15/19 3/4 13/17 19/24 19/24 4/5 4/5 5/6 25/31 19/22 13/15 21/26 7/8 38/47 7/8 64/73 17/21 15/17 23/26 30/37 25/28 42/47 13/16 29/32 22/27 12/13 37/40 9/11 19/20 1/1 14/17 1/1 19/23 1/1 37/36 5/6 9/8 11/13 3/2 5/3 17/20 7/4 23/27 5/2 3/1 6/7 2/1 1/0 7/8 1/0 8/9 0/1 1/2 9/10 5/4 1/1 1/2 1/1 10/9 4/3 3/2 9/8 5/4 17/15 3/2 5/3 8/7 2/1 1/0 15/13 -1/1 1/0 7/6 5/4 34/29 3/2 2/1 61/52 25/16 27/23 3/2 5/3 47/40 15/8 67/57 2/1 87/74 25/12 20/17 2/1 5/2 13/11 1/2 1/1 19/16 7/4 6/5 2/1 1/0 17/14 1/0 28/23 -4/1 1/0 11/9 -1/1 1/0 16/13 0/1 1/2 21/17 1/3 1/2 26/21 0/1 1/0 31/25 -1/2 -1/3 5/4 1/0 19/15 7/8 1/1 52/41 1/1 85/67 1/1 33/32 33/26 13/12 47/37 7/6 13/11 14/11 4/3 3/2 51/40 23/12 37/29 9/4 7/3 23/18 1/0 55/43 13/1 1/0 32/25 -6/1 1/0 9/7 1/1 1/0 22/17 -1/4 0/1 35/27 0/1 48/37 0/1 1/12 13/10 1/4 30/23 1/2 2/3 17/13 3/7 1/2 38/29 5/8 2/3 21/16 3/4 4/3 1/2 2/3 19/14 23/28 72/53 84/101 5/6 125/92 5/6 53/39 5/6 61/73 34/25 16/19 27/32 15/11 13/15 7/8 71/52 7/8 56/41 7/8 22/25 41/30 25/28 26/19 9/10 10/11 37/27 9/10 1/1 48/35 9/10 10/11 59/43 9/10 1/1 11/8 15/16 18/13 1/1 25/18 37/36 7/5 1/1 11/10 38/27 41/36 8/7 69/49 47/41 39/34 31/22 23/20 55/39 29/25 7/6 24/17 7/6 34/29 17/12 29/24 61/43 11/9 93/76 44/31 59/48 16/13 27/19 41/33 5/4 91/64 5/4 64/45 5/4 94/75 37/26 5/4 47/33 5/4 19/15 10/7 13/10 4/3 33/23 7/5 3/2 56/39 4/3 3/2 23/16 11/8 82/57 17/12 10/7 59/41 13/9 3/2 95/66 23/16 36/25 3/2 2/1 49/34 11/8 13/9 13/9 3/2 29/20 25/16 45/31 3/2 11/7 61/42 13/8 16/11 7/4 2/1 35/24 1/0 19/13 1/1 3/2 22/15 3/2 14/9 25/17 5/3 7/4 3/2 1/0 23/15 7/3 5/2 20/13 2/1 5/2 57/37 5/2 3/1 94/61 3/1 37/24 1/0 17/11 1/1 1/0 14/9 2/1 1/0 53/34 11/4 39/25 3/1 19/6 64/41 7/2 4/1 25/16 1/0 61/39 3/1 19/6 36/23 15/4 4/1 83/53 5/1 11/2 130/83 0/1 1/0 47/30 1/0 11/7 5/1 1/0 19/12 1/0 27/17 -9/1 1/0 8/5 -2/1 1/0 37/23 -1/1 -1/2 66/41 -1/2 0/1 29/18 1/0 50/31 -5/2 -2/1 121/75 -17/11 -3/2 71/44 -5/4 21/13 -1/1 -3/4 76/47 -1/2 -8/17 55/34 -3/8 144/89 -1/4 -2/9 233/144 1/0 89/55 -1/3 -1/4 34/21 -1/6 0/1 115/71 0/1 196/121 0/1 1/30 81/50 1/12 47/29 1/3 1/2 60/37 2/3 3/4 13/8 1/0 57/35 -3/5 -1/2 44/27 -1/2 -2/5 75/46 1/4 106/65 -4/1 1/0 31/19 -1/1 -1/2 18/11 -1/6 0/1 77/47 0/1 59/36 1/24 41/25 1/9 1/8 64/39 0/1 1/6 23/14 1/4 74/45 0/1 1/0 125/76 1/4 51/31 1/3 3/8 28/17 1/2 2/3 33/20 1/4 5/3 1/1 1/0 22/13 -1/8 0/1 39/23 0/1 56/33 0/1 1/24 17/10 1/8 80/47 5/28 2/11 63/37 1/5 3/14 46/27 0/1 1/4 29/17 3/13 1/4 41/24 5/16 53/31 3/7 1/2 65/38 1/4 12/7 0/1 1/2 55/32 5/16 43/25 1/3 5/14 31/18 5/12 50/29 2/5 1/2 69/40 3/8 88/51 2/5 5/12 19/11 1/3 1/2 26/15 10/21 1/2 59/34 1/2 92/53 1/2 40/79 33/19 1/2 15/29 40/23 1/2 6/11 7/4 5/8 23/13 3/4 13/17 85/48 19/24 62/35 2/3 3/4 101/57 3/4 7/9 39/22 3/4 55/31 17/22 7/9 16/9 4/5 5/6 57/32 3/4 41/23 5/6 1/1 66/37 4/5 5/6 25/14 3/4 9/5 9/10 1/1 20/11 1/1 31/17 1/1 35/34 11/6 13/12 24/13 22/19 7/6 13/7 1/1 5/4 28/15 7/6 6/5 15/8 5/4 17/9 15/11 11/8 2/1 2/1 1/0 17/8 1/0 32/15 -4/1 1/0 15/7 -3/2 -1/1 43/20 1/0 28/13 -2/1 -3/2 41/19 -3/2 -1/1 13/6 -3/4 11/5 -1/1 1/0 42/19 -2/3 -1/2 31/14 -1/4 20/9 0/1 1/2 9/4 -1/4 43/19 0/1 77/34 1/44 34/15 0/1 1/20 25/11 1/8 1/7 66/29 0/1 1/6 173/76 1/8 280/123 1/7 107/47 1/7 1/6 41/18 1/8 57/25 1/5 1/4 16/7 2/9 1/4 39/17 3/10 7/23 101/44 5/16 62/27 8/25 9/28 23/10 7/20 30/13 2/5 9/22 7/3 1/2 3/5 47/20 13/20 87/37 2/3 127/54 35/52 40/17 2/3 11/16 73/31 17/24 5/7 33/14 3/4 26/11 1/2 2/3 71/30 3/4 45/19 1/2 1/1 109/46 1/2 64/27 1/2 2/3 19/8 3/4 88/37 1/2 8/15 69/29 3/5 5/8 50/21 9/14 2/3 131/55 2/3 212/89 2/3 47/70 81/34 19/28 31/13 5/7 3/4 74/31 13/18 8/11 117/49 5/7 3/4 160/67 8/11 19/26 43/18 3/4 55/23 3/4 31/41 12/5 4/5 5/6 41/17 11/13 17/20 29/12 7/8 75/31 7/8 15/17 46/19 8/9 25/28 63/26 29/32 17/7 13/14 1/1 22/9 1/1 27/11 1/1 23/22 5/2 5/4 23/9 1/1 3/2 64/25 4/3 11/8 41/16 5/4 59/23 11/8 7/5 18/7 16/11 3/2 67/26 3/2 116/45 3/2 110/73 49/19 3/2 47/31 31/12 31/20 75/29 11/7 19/12 119/46 13/8 44/17 3/2 14/9 57/22 13/8 13/5 13/8 5/3 60/23 22/13 17/10 47/18 41/24 175/67 79/46 67/39 128/49 74/43 31/18 81/31 31/18 19/11 34/13 40/23 7/4 157/60 7/4 123/47 7/4 149/85 89/34 7/4 144/55 7/4 44/25 55/21 53/30 23/13 21/8 29/16 50/19 41/22 28/15 79/30 15/8 108/41 32/17 49/26 29/11 19/10 21/11 37/14 47/24 45/17 2/1 53/20 65/32 8/3 2/1 9/4 27/10 1/0 73/27 5/2 3/1 46/17 22/9 5/2 65/24 21/8 19/7 11/4 3/1 68/25 3/1 117/43 3/1 61/20 49/18 25/8 30/11 10/3 7/2 101/37 9/2 5/1 71/26 1/0 112/41 7/2 4/1 41/15 3/1 7/2 134/49 47/12 4/1 227/83 4/1 93/34 33/8 52/19 9/2 14/3 11/4 1/0 36/13 4/1 1/0 25/9 11/4 3/1 39/14 13/4 53/19 7/2 39/11 14/5 4/1 9/2 45/16 1/0 76/27 7/2 4/1 183/65 4/1 107/38 17/4 31/11 5/1 1/0 48/17 21/4 16/3 17/6 1/0 54/19 8/1 1/0 37/13 17/2 9/1 57/20 1/0 20/7 14/1 1/0 23/8 1/0 26/9 -16/1 1/0 3/1 -1/1 1/0 25/8 -1/16 47/15 0/1 22/7 0/1 1/14 19/6 1/4 16/5 0/1 1/2 45/14 5/12 74/23 3/8 2/5 29/9 5/11 1/2 13/4 3/4 49/15 1/1 3/2 36/11 0/1 1/0 95/29 0/1 154/47 0/1 1/8 59/18 1/4 23/7 1/3 1/2 33/10 3/8 10/3 2/3 3/4 57/17 7/10 5/7 104/31 2/3 3/4 47/14 3/4 84/25 3/4 34/45 37/11 7/9 11/14 64/19 5/6 6/7 27/8 3/4 98/29 14/17 33/40 71/21 5/6 31/37 44/13 6/7 7/8 17/5 9/10 1/1 24/7 1/1 31/9 1/1 19/18 7/2 5/4 53/15 13/10 17/13 99/28 53/40 145/41 4/3 46/13 4/3 27/20 39/11 25/18 7/5 32/9 22/15 3/2 25/7 3/2 5/3 43/12 7/4 18/5 2/1 1/0 65/18 1/0 112/31 0/1 1/2 47/13 5/6 1/1 170/47 1/1 123/34 25/24 76/21 10/9 9/8 29/8 5/4 11/3 3/2 5/3 59/16 13/8 48/13 3/2 2/1 85/23 13/8 5/3 122/33 5/3 37/10 7/4 26/7 3/2 2/1 41/11 3/2 5/3 15/4 15/8 49/13 2/1 83/22 89/44 34/9 2/1 37/18 19/5 13/6 11/5 42/11 23/10 30/13 23/6 29/12 73/19 87/35 5/2 123/32 5/2 50/13 5/2 58/23 27/7 13/5 21/8 4/1 4/1 1/0 25/6 1/0 46/11 -34/1 1/0 21/5 -15/1 1/0 17/4 1/0 47/11 -13/3 -17/4 30/7 -7/2 -10/3 13/3 -3/1 1/0 35/8 -11/4 22/5 -2/1 -7/4 75/17 -3/2 -1/1 53/12 1/0 31/7 -3/2 -7/5 9/2 -3/4 50/11 -1/2 -2/5 91/20 -7/16 41/9 -1/2 -1/3 114/25 -3/8 -10/27 73/16 -7/20 32/7 -1/4 0/1 23/5 -1/4 -1/5 37/8 -1/16 51/11 0/1 65/14 1/28 14/3 0/1 1/6 33/7 1/2 3/5 85/18 1/0 307/65 0/1 222/47 0/1 1/6 137/29 1/4 1/3 52/11 2/5 1/2 71/15 1/2 3/5 19/4 1/0 24/5 0/1 1/2 77/16 1/2 53/11 1/2 1/1 29/6 1/0 34/7 1/2 2/3 5/1 1/2 1/1 26/5 1/1 47/9 1/1 19/18 21/4 9/8 16/3 4/3 3/2 27/5 1/1 3/2 11/2 7/4 28/5 2/1 5/2 17/3 1/1 1/0 57/10 7/4 40/7 4/1 1/0 63/11 1/2 1/1 23/4 5/4 52/9 22/15 3/2 29/5 13/8 5/3 6/1 2/1 5/2 25/4 29/8 19/3 13/3 9/2 51/8 39/8 32/5 11/2 6/1 13/2 1/0 46/7 17/2 26/3 33/5 21/2 11/1 53/8 1/0 20/3 18/1 1/0 27/4 1/0 34/5 -28/1 1/0 7/1 -5/1 1/0 22/3 -8/5 -3/2 15/2 -3/4 23/3 -1/1 1/0 31/4 -1/4 8/1 0/1 1/2 17/2 -1/4 9/1 1/2 1/1 10/1 2/1 1/0 11/1 1/1 3/2 12/1 2/1 1/0 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(475,226,-1776,-845) (-1/2,-9/19) -> (-19/71,-23/86) Hyperbolic Matrix(2111,996,3406,1607) (-9/19,-8/17) -> (44/71,75/121) Hyperbolic Matrix(1283,602,1754,823) (-8/17,-7/15) -> (49/67,30/41) Hyperbolic Matrix(811,378,118,55) (-7/15,-20/43) -> (34/5,7/1) Hyperbolic Matrix(1967,914,2434,1131) (-20/43,-13/28) -> (21/26,38/47) Hyperbolic Matrix(2427,1124,922,427) (-13/28,-6/13) -> (50/19,79/30) Hyperbolic Matrix(2415,1112,1492,687) (-6/13,-17/37) -> (89/55,34/21) Hyperbolic Matrix(2179,1000,3092,1419) (-17/37,-11/24) -> (31/44,43/61) Hyperbolic Matrix(1373,628,798,365) (-11/24,-5/11) -> (43/25,31/18) Hyperbolic Matrix(1133,512,790,357) (-5/11,-14/31) -> (10/7,33/23) Hyperbolic Matrix(563,254,-3726,-1681) (-14/31,-23/51) -> (-5/33,-8/53) Hyperbolic Matrix(1921,866,-5082,-2291) (-23/51,-9/20) -> (-31/82,-17/45) Hyperbolic Matrix(1123,504,1914,859) (-9/20,-13/29) -> (17/29,27/46) Hyperbolic Matrix(1009,452,788,353) (-13/29,-4/9) -> (32/25,9/7) Hyperbolic Matrix(1443,638,1780,787) (-4/9,-19/43) -> (17/21,30/37) Hyperbolic Matrix(557,246,-3222,-1423) (-19/43,-15/34) -> (-9/52,-5/29) Hyperbolic Matrix(1107,488,-4766,-2101) (-15/34,-26/59) -> (-10/43,-13/56) Hyperbolic Matrix(1439,634,-6648,-2929) (-26/59,-11/25) -> (-21/97,-8/37) Hyperbolic Matrix(555,244,-2104,-925) (-11/25,-18/41) -> (-14/53,-5/19) Hyperbolic Matrix(1103,484,1438,631) (-18/41,-7/16) -> (23/30,10/13) Hyperbolic Matrix(769,336,222,97) (-7/16,-17/39) -> (31/9,7/2) Hyperbolic Matrix(987,430,1430,623) (-17/39,-10/23) -> (20/29,9/13) Hyperbolic Matrix(1207,524,2080,903) (-10/23,-13/30) -> (29/50,18/31) Hyperbolic Matrix(545,236,1314,569) (-13/30,-3/7) -> (17/41,5/12) Hyperbolic Matrix(323,138,110,47) (-3/7,-20/47) -> (26/9,3/1) Hyperbolic Matrix(1943,826,3018,1283) (-20/47,-17/40) -> (9/14,38/59) Hyperbolic Matrix(1615,686,864,367) (-17/40,-14/33) -> (28/15,15/8) Hyperbolic Matrix(2257,956,1400,593) (-14/33,-11/26) -> (29/18,50/31) Hyperbolic Matrix(2687,1136,3328,1407) (-11/26,-41/97) -> (25/31,21/26) Hyperbolic Matrix(3653,1544,750,317) (-41/97,-30/71) -> (34/7,5/1) Hyperbolic Matrix(3863,1632,4940,2087) (-30/71,-19/45) -> (43/55,18/23) Hyperbolic Matrix(427,180,-1606,-677) (-19/45,-8/19) -> (-4/15,-13/49) Hyperbolic Matrix(1175,494,-5454,-2293) (-8/19,-29/69) -> (-11/51,-14/65) Hyperbolic Matrix(2675,1124,426,179) (-29/69,-21/50) -> (25/4,19/3) Hyperbolic Matrix(1067,448,-6090,-2557) (-21/50,-34/81) -> (-10/57,-7/40) Hyperbolic Matrix(1497,628,2348,985) (-34/81,-13/31) -> (7/11,30/47) Hyperbolic Matrix(1923,806,4588,1923) (-13/31,-31/74) -> (31/74,13/31) Hyperbolic Matrix(2669,1118,4586,1921) (-31/74,-18/43) -> (32/55,7/12) Hyperbolic Matrix(321,134,424,177) (-18/43,-5/12) -> (3/4,16/21) Hyperbolic Matrix(529,220,214,89) (-5/12,-17/41) -> (27/11,5/2) Hyperbolic Matrix(425,176,1374,569) (-17/41,-12/29) -> (4/13,9/29) Hyperbolic Matrix(2113,874,1482,613) (-12/29,-31/75) -> (47/33,10/7) Hyperbolic Matrix(4123,1704,-18072,-7469) (-31/75,-50/121) -> (-34/149,-13/57) Hyperbolic Matrix(4119,1702,530,219) (-50/121,-19/46) -> (31/4,8/1) Hyperbolic Matrix(4327,1786,2430,1003) (-19/46,-26/63) -> (16/9,57/32) Hyperbolic Matrix(13617,5618,5170,2133) (-26/63,-33/80) -> (79/30,108/41) Hyperbolic Matrix(18045,7442,10972,4525) (-33/80,-40/97) -> (74/45,125/76) Hyperbolic Matrix(631,260,-2740,-1129) (-40/97,-7/17) -> (-3/13,-20/87) Hyperbolic Matrix(735,302,-4208,-1729) (-7/17,-23/56) -> (-7/40,-11/63) Hyperbolic Matrix(2417,992,3472,1425) (-23/56,-16/39) -> (16/23,39/56) Hyperbolic Matrix(2625,1076,3574,1465) (-16/39,-25/61) -> (11/15,36/49) Hyperbolic Matrix(1157,474,-4938,-2023) (-25/61,-9/22) -> (-15/64,-11/47) Hyperbolic Matrix(1255,512,1782,727) (-9/22,-11/27) -> (19/27,31/44) Hyperbolic Matrix(733,298,1252,509) (-11/27,-2/5) -> (24/41,17/29) Hyperbolic Matrix(1739,686,616,243) (-2/5,-13/33) -> (31/11,48/17) Hyperbolic Matrix(1429,562,2352,925) (-13/33,-11/28) -> (17/28,31/51) Hyperbolic Matrix(1121,440,614,241) (-11/28,-9/23) -> (31/17,11/6) Hyperbolic Matrix(307,120,-1732,-677) (-9/23,-16/41) -> (-8/45,-3/17) Hyperbolic Matrix(303,118,-1420,-553) (-16/41,-7/18) -> (-3/14,-10/47) Hyperbolic Matrix(103,40,-1218,-473) (-7/18,-33/85) -> (-1/11,-1/12) Hyperbolic Matrix(10031,3894,5778,2243) (-33/85,-26/67) -> (92/53,33/19) Hyperbolic Matrix(4861,1886,3446,1337) (-26/67,-19/49) -> (55/39,24/17) Hyperbolic Matrix(1621,628,302,117) (-19/49,-12/31) -> (16/3,27/5) Hyperbolic Matrix(605,234,1316,509) (-12/31,-17/44) -> (11/24,6/13) Hyperbolic Matrix(301,116,-1108,-427) (-17/44,-5/13) -> (-3/11,-13/48) Hyperbolic Matrix(1309,502,2412,925) (-5/13,-23/60) -> (13/24,19/35) Hyperbolic Matrix(2213,848,702,269) (-23/60,-18/47) -> (22/7,19/6) Hyperbolic Matrix(1207,462,-4120,-1577) (-18/47,-13/34) -> (-17/58,-12/41) Hyperbolic Matrix(9033,3452,6220,2377) (-13/34,-47/123) -> (45/31,61/42) Hyperbolic Matrix(8731,3336,-31608,-12077) (-47/123,-34/89) -> (-50/181,-29/105) Hyperbolic Matrix(2911,1112,500,191) (-34/89,-21/55) -> (29/5,6/1) Hyperbolic Matrix(2505,956,904,345) (-21/55,-8/21) -> (36/13,25/9) Hyperbolic Matrix(799,304,502,191) (-8/21,-11/29) -> (27/17,8/5) Hyperbolic Matrix(5791,2194,2394,907) (-11/29,-25/66) -> (29/12,75/31) Hyperbolic Matrix(3593,1360,996,377) (-25/66,-14/37) -> (18/5,65/18) Hyperbolic Matrix(1195,452,3392,1283) (-14/37,-31/82) -> (19/54,6/17) Hyperbolic Matrix(101,38,396,149) (-17/45,-3/8) -> (1/4,7/27) Hyperbolic Matrix(495,184,1676,623) (-3/8,-13/35) -> (5/17,13/44) Hyperbolic Matrix(1381,512,294,109) (-13/35,-10/27) -> (14/3,33/7) Hyperbolic Matrix(887,328,1966,727) (-10/27,-17/46) -> (9/20,14/31) Hyperbolic Matrix(1083,400,-3934,-1453) (-17/46,-7/19) -> (-19/69,-11/40) Hyperbolic Matrix(685,252,492,181) (-7/19,-11/30) -> (25/18,7/5) Hyperbolic Matrix(879,322,980,359) (-11/30,-26/71) -> (8/9,9/10) Hyperbolic Matrix(295,108,2248,823) (-26/71,-15/41) -> (3/23,2/15) Hyperbolic Matrix(1761,644,4006,1465) (-15/41,-19/52) -> (29/66,11/25) Hyperbolic Matrix(587,214,96,35) (-19/52,-4/11) -> (6/1,25/4) Hyperbolic Matrix(193,70,488,177) (-4/11,-13/36) -> (11/28,2/5) Hyperbolic Matrix(677,244,-2228,-803) (-13/36,-9/25) -> (-7/23,-17/56) Hyperbolic Matrix(1257,452,292,105) (-9/25,-14/39) -> (30/7,13/3) Hyperbolic Matrix(4933,1770,772,277) (-14/39,-33/92) -> (51/8,32/5) Hyperbolic Matrix(9569,3432,7542,2705) (-33/92,-19/53) -> (85/67,33/26) Hyperbolic Matrix(4057,1454,2514,901) (-19/53,-5/14) -> (71/44,21/13) Hyperbolic Matrix(579,206,2212,787) (-5/14,-16/45) -> (6/23,11/42) Hyperbolic Matrix(2307,820,3272,1163) (-16/45,-11/31) -> (43/61,12/17) Hyperbolic Matrix(1055,374,866,307) (-11/31,-6/17) -> (28/23,11/9) Hyperbolic Matrix(2773,976,1628,573) (-6/17,-13/37) -> (63/37,46/27) Hyperbolic Matrix(4779,1678,6878,2415) (-13/37,-20/57) -> (66/95,41/59) Hyperbolic Matrix(4391,1540,-13940,-4889) (-20/57,-27/77) -> (-23/73,-40/127) Hyperbolic Matrix(7827,2744,1720,603) (-27/77,-7/20) -> (91/20,41/9) Hyperbolic Matrix(475,166,764,267) (-7/20,-1/3) -> (23/37,5/8) Hyperbolic Matrix(727,230,452,143) (-1/3,-6/19) -> (8/5,37/23) Hyperbolic Matrix(1085,342,92,29) (-6/19,-23/73) -> (11/1,12/1) Hyperbolic Matrix(12129,3820,10316,3249) (-40/127,-17/54) -> (87/74,20/17) Hyperbolic Matrix(6511,2048,4524,1423) (-17/54,-11/35) -> (59/41,95/66) Hyperbolic Matrix(1537,482,2618,821) (-11/35,-5/16) -> (27/46,37/63) Hyperbolic Matrix(449,140,542,169) (-5/16,-9/29) -> (19/23,5/6) Hyperbolic Matrix(3055,946,2154,667) (-9/29,-13/42) -> (17/12,61/43) Hyperbolic Matrix(2063,638,540,167) (-13/42,-4/13) -> (42/11,23/6) Hyperbolic Matrix(2325,712,3752,1149) (-4/13,-15/49) -> (13/21,44/71) Hyperbolic Matrix(4019,1230,5094,1559) (-15/49,-26/85) -> (56/71,15/19) Hyperbolic Matrix(5539,1694,9466,2895) (-26/85,-11/36) -> (55/94,24/41) Hyperbolic Matrix(269,82,1158,353) (-11/36,-7/23) -> (3/13,7/30) Hyperbolic Matrix(3117,946,2402,729) (-17/56,-10/33) -> (48/37,13/10) Hyperbolic Matrix(1599,484,446,135) (-10/33,-3/10) -> (43/12,18/5) Hyperbolic Matrix(87,26,532,159) (-3/10,-14/47) -> (4/25,1/6) Hyperbolic Matrix(3617,1076,1590,473) (-14/47,-11/37) -> (25/11,66/29) Hyperbolic Matrix(2027,602,266,79) (-11/37,-19/64) -> (15/2,23/3) Hyperbolic Matrix(883,262,792,235) (-19/64,-8/27) -> (10/9,9/8) Hyperbolic Matrix(703,208,970,287) (-8/27,-5/17) -> (21/29,8/11) Hyperbolic Matrix(2633,772,4560,1337) (-5/17,-17/58) -> (15/26,41/71) Hyperbolic Matrix(1751,512,790,231) (-12/41,-7/24) -> (31/14,20/9) Hyperbolic Matrix(261,76,1226,357) (-7/24,-9/31) -> (7/33,3/14) Hyperbolic Matrix(1483,430,438,127) (-9/31,-2/7) -> (44/13,17/5) Hyperbolic Matrix(345,98,88,25) (-2/7,-11/39) -> (27/7,4/1) Hyperbolic Matrix(433,122,-2850,-803) (-11/39,-9/32) -> (-7/46,-5/33) Hyperbolic Matrix(3537,994,1982,557) (-9/32,-16/57) -> (66/37,25/14) Hyperbolic Matrix(2241,628,860,241) (-16/57,-7/25) -> (13/5,60/23) Hyperbolic Matrix(601,168,948,265) (-7/25,-5/18) -> (19/30,7/11) Hyperbolic Matrix(599,166,516,143) (-5/18,-13/47) -> (15/13,7/6) Hyperbolic Matrix(427,118,2486,687) (-13/47,-21/76) -> (1/6,5/29) Hyperbolic Matrix(29557,8166,18246,5041) (-21/76,-50/181) -> (196/121,81/50) Hyperbolic Matrix(6079,1678,2228,615) (-29/105,-8/29) -> (30/11,101/37) Hyperbolic Matrix(3339,920,940,259) (-8/29,-19/69) -> (39/11,32/9) Hyperbolic Matrix(3161,868,2480,681) (-11/40,-14/51) -> (14/11,51/40) Hyperbolic Matrix(599,164,84,23) (-14/51,-3/11) -> (7/1,22/3) Hyperbolic Matrix(3317,898,1954,529) (-13/48,-10/37) -> (56/33,17/10) Hyperbolic Matrix(1867,504,426,115) (-10/37,-7/26) -> (35/8,22/5) Hyperbolic Matrix(1951,524,592,159) (-7/26,-11/41) -> (23/7,33/10) Hyperbolic Matrix(3725,998,2288,613) (-11/41,-15/56) -> (13/8,57/35) Hyperbolic Matrix(3809,1020,6606,1769) (-15/56,-19/71) -> (49/85,15/26) Hyperbolic Matrix(9649,2580,2876,769) (-23/86,-4/15) -> (104/31,47/14) Hyperbolic Matrix(10039,2662,4220,1119) (-13/49,-22/83) -> (88/37,69/29) Hyperbolic Matrix(9109,2414,6328,1677) (-22/83,-9/34) -> (95/66,36/25) Hyperbolic Matrix(3285,868,2108,557) (-9/34,-14/53) -> (14/9,53/34) Hyperbolic Matrix(419,110,758,199) (-5/19,-6/23) -> (16/29,5/9) Hyperbolic Matrix(1929,502,1172,305) (-6/23,-7/27) -> (51/31,28/17) Hyperbolic Matrix(1335,344,586,151) (-7/27,-1/4) -> (41/18,57/25) Hyperbolic Matrix(977,234,572,137) (-1/4,-5/21) -> (29/17,41/24) Hyperbolic Matrix(1383,328,974,231) (-5/21,-4/17) -> (44/31,27/19) Hyperbolic Matrix(3485,818,1538,361) (-4/17,-15/64) -> (77/34,34/15) Hyperbolic Matrix(1215,284,646,151) (-11/47,-7/30) -> (15/8,17/9) Hyperbolic Matrix(2669,622,1858,433) (-7/30,-10/43) -> (56/39,23/16) Hyperbolic Matrix(4603,1068,7426,1723) (-13/56,-3/13) -> (75/121,31/50) Hyperbolic Matrix(14009,3220,5956,1369) (-20/87,-17/74) -> (127/54,40/17) Hyperbolic Matrix(24869,5710,15370,3529) (-17/74,-14/61) -> (144/89,233/144) Hyperbolic Matrix(2573,590,1208,277) (-14/61,-11/48) -> (17/8,32/15) Hyperbolic Matrix(4663,1068,1288,295) (-11/48,-8/35) -> (76/21,29/8) Hyperbolic Matrix(8679,1982,4900,1119) (-8/35,-21/92) -> (85/48,62/35) Hyperbolic Matrix(31573,7206,13254,3025) (-21/92,-34/149) -> (212/89,81/34) Hyperbolic Matrix(3535,806,1364,311) (-13/57,-5/22) -> (57/22,13/5) Hyperbolic Matrix(1041,236,322,73) (-5/22,-7/31) -> (29/9,13/4) Hyperbolic Matrix(559,126,1362,307) (-7/31,-2/9) -> (16/39,7/17) Hyperbolic Matrix(317,70,240,53) (-2/9,-7/32) -> (21/16,4/3) Hyperbolic Matrix(3409,744,1984,433) (-7/32,-12/55) -> (12/7,55/32) Hyperbolic Matrix(3407,742,1428,311) (-12/55,-5/23) -> (31/13,74/31) Hyperbolic Matrix(1741,378,1110,241) (-5/23,-13/60) -> (47/30,11/7) Hyperbolic Matrix(8625,1868,12268,2657) (-13/60,-21/97) -> (71/101,45/64) Hyperbolic Matrix(315,68,1978,427) (-8/37,-11/51) -> (3/19,4/25) Hyperbolic Matrix(3557,766,1342,289) (-14/65,-3/14) -> (53/20,8/3) Hyperbolic Matrix(6455,1372,9292,1975) (-10/47,-17/80) -> (25/36,66/95) Hyperbolic Matrix(3543,752,2596,551) (-17/80,-7/33) -> (15/11,71/52) Hyperbolic Matrix(3619,766,2830,599) (-7/33,-11/52) -> (23/18,55/43) Hyperbolic Matrix(9199,1944,4008,847) (-11/52,-15/71) -> (39/17,101/44) Hyperbolic Matrix(2435,514,1966,415) (-15/71,-4/19) -> (26/21,31/25) Hyperbolic Matrix(1021,214,1646,345) (-4/19,-5/24) -> (31/50,18/29) Hyperbolic Matrix(627,130,1172,243) (-5/24,-6/29) -> (8/15,15/28) Hyperbolic Matrix(3205,662,702,145) (-6/29,-7/34) -> (73/16,32/7) Hyperbolic Matrix(545,112,1562,321) (-7/34,-1/5) -> (15/43,7/20) Hyperbolic Matrix(921,176,382,73) (-1/5,-4/21) -> (12/5,41/17) Hyperbolic Matrix(1451,274,842,159) (-4/21,-3/16) -> (31/18,50/29) Hyperbolic Matrix(991,184,684,127) (-3/16,-5/27) -> (13/9,29/20) Hyperbolic Matrix(379,70,1294,239) (-5/27,-2/11) -> (12/41,5/17) Hyperbolic Matrix(983,176,754,135) (-2/11,-5/28) -> (13/10,30/23) Hyperbolic Matrix(3923,698,1658,295) (-5/28,-8/45) -> (26/11,71/30) Hyperbolic Matrix(3537,622,1052,185) (-3/17,-10/57) -> (84/25,37/11) Hyperbolic Matrix(5933,1034,3678,641) (-11/63,-4/23) -> (50/31,121/75) Hyperbolic Matrix(3677,638,974,169) (-4/23,-9/52) -> (83/22,34/9) Hyperbolic Matrix(225,38,148,25) (-5/29,-1/6) -> (3/2,23/15) Hyperbolic Matrix(517,82,662,105) (-1/6,-3/19) -> (7/9,25/32) Hyperbolic Matrix(1251,196,734,115) (-3/19,-2/13) -> (46/27,29/17) Hyperbolic Matrix(2705,412,952,145) (-2/13,-7/46) -> (17/6,54/19) Hyperbolic Matrix(3725,562,802,121) (-8/53,-3/20) -> (65/14,14/3) Hyperbolic Matrix(509,76,730,109) (-3/20,-1/7) -> (23/33,7/10) Hyperbolic Matrix(501,68,862,117) (-1/7,-2/15) -> (18/31,25/43) Hyperbolic Matrix(1927,254,1358,179) (-2/15,-3/23) -> (61/43,44/31) Hyperbolic Matrix(923,118,1494,191) (-3/23,-1/8) -> (21/34,55/89) Hyperbolic Matrix(211,26,284,35) (-1/8,-2/17) -> (20/27,3/4) Hyperbolic Matrix(2523,292,1754,203) (-2/17,-3/26) -> (23/16,82/57) Hyperbolic Matrix(209,24,1402,161) (-3/26,-1/9) -> (7/47,3/20) Hyperbolic Matrix(347,38,210,23) (-1/9,-1/10) -> (33/20,5/3) Hyperbolic Matrix(1991,192,1234,119) (-1/10,-1/11) -> (121/75,71/44) Hyperbolic Matrix(469,34,400,29) (-1/12,0/1) -> (34/29,61/52) Hyperbolic Matrix(393,-40,226,-23) (0/1,1/9) -> (33/19,40/23) Hyperbolic Matrix(775,-92,278,-33) (1/9,1/8) -> (39/14,53/19) Hyperbolic Matrix(2139,-278,1208,-157) (1/8,3/23) -> (23/13,85/48) Hyperbolic Matrix(327,-44,602,-81) (2/15,1/7) -> (19/35,6/11) Hyperbolic Matrix(217,-32,1458,-215) (1/7,4/27) -> (4/27,7/47) Parabolic Matrix(2047,-308,432,-65) (3/20,5/33) -> (71/15,19/4) Hyperbolic Matrix(431,-66,1182,-181) (5/33,2/13) -> (4/11,23/63) Hyperbolic Matrix(591,-92,1394,-217) (2/13,3/19) -> (25/59,14/33) Hyperbolic Matrix(4121,-714,2326,-403) (5/29,4/23) -> (62/35,101/57) Hyperbolic Matrix(2111,-368,740,-129) (4/23,7/40) -> (57/20,20/7) Hyperbolic Matrix(3481,-610,1478,-259) (7/40,3/17) -> (73/31,33/14) Hyperbolic Matrix(473,-84,580,-103) (3/17,2/11) -> (22/27,9/11) Hyperbolic Matrix(523,-96,158,-29) (2/11,3/16) -> (33/10,10/3) Hyperbolic Matrix(939,-178,364,-69) (3/16,1/5) -> (49/19,31/12) Hyperbolic Matrix(821,-172,358,-75) (1/5,4/19) -> (16/7,39/17) Hyperbolic Matrix(2047,-432,308,-65) (4/19,11/52) -> (53/8,20/3) Hyperbolic Matrix(2199,-466,1024,-217) (11/52,7/33) -> (15/7,43/20) Hyperbolic Matrix(1173,-254,254,-55) (3/14,5/23) -> (23/5,37/8) Hyperbolic Matrix(559,-122,866,-189) (5/23,2/9) -> (20/31,11/17) Hyperbolic Matrix(303,-68,254,-57) (2/9,5/22) -> (19/16,6/5) Hyperbolic Matrix(253,-58,554,-127) (5/22,3/13) -> (5/11,11/24) Hyperbolic Matrix(2311,-540,1408,-329) (7/30,4/17) -> (64/39,23/14) Hyperbolic Matrix(953,-226,350,-83) (4/17,1/4) -> (49/18,30/11) Hyperbolic Matrix(1919,-498,3102,-805) (7/27,6/23) -> (60/97,13/21) Hyperbolic Matrix(1327,-348,3634,-953) (11/42,5/19) -> (23/63,19/52) Hyperbolic Matrix(931,-246,246,-65) (5/19,4/15) -> (34/9,19/5) Hyperbolic Matrix(1125,-302,488,-131) (4/15,7/26) -> (23/10,30/13) Hyperbolic Matrix(1661,-448,634,-171) (7/26,3/11) -> (55/21,21/8) Hyperbolic Matrix(437,-120,244,-67) (3/11,5/18) -> (25/14,9/5) Hyperbolic Matrix(437,-122,1114,-311) (5/18,7/25) -> (9/23,11/28) Hyperbolic Matrix(727,-204,1258,-353) (7/25,2/7) -> (26/45,11/19) Hyperbolic Matrix(337,-98,1152,-335) (2/7,7/24) -> (7/24,12/41) Parabolic Matrix(3923,-1160,1532,-453) (13/44,8/27) -> (64/25,41/16) Hyperbolic Matrix(3489,-1036,2152,-639) (8/27,11/37) -> (47/29,60/37) Hyperbolic Matrix(4299,-1280,6116,-1821) (11/37,14/47) -> (26/37,71/101) Hyperbolic Matrix(669,-200,572,-171) (14/47,3/10) -> (7/6,34/29) Hyperbolic Matrix(523,-158,96,-29) (3/10,7/23) -> (27/5,11/2) Hyperbolic Matrix(2185,-666,666,-203) (7/23,11/36) -> (59/18,23/7) Hyperbolic Matrix(2753,-842,1710,-523) (11/36,4/13) -> (66/41,29/18) Hyperbolic Matrix(1701,-530,1088,-339) (9/29,5/16) -> (25/16,61/39) Hyperbolic Matrix(661,-208,518,-163) (5/16,1/3) -> (37/29,23/18) Hyperbolic Matrix(369,-128,1058,-367) (1/3,8/23) -> (8/23,15/43) Parabolic Matrix(2111,-740,368,-129) (7/20,13/37) -> (63/11,23/4) Hyperbolic Matrix(3715,-1306,3166,-1113) (13/37,19/54) -> (61/52,27/23) Hyperbolic Matrix(1465,-518,642,-227) (6/17,11/31) -> (57/25,16/7) Hyperbolic Matrix(2011,-716,778,-277) (11/31,5/14) -> (31/12,75/29) Hyperbolic Matrix(685,-246,866,-311) (5/14,9/25) -> (15/19,19/24) Hyperbolic Matrix(365,-132,318,-115) (9/25,4/11) -> (8/7,15/13) Hyperbolic Matrix(4859,-1776,3450,-1261) (19/52,15/41) -> (69/49,31/22) Hyperbolic Matrix(4175,-1528,5992,-2193) (15/41,26/71) -> (62/89,23/33) Hyperbolic Matrix(4811,-1762,3312,-1213) (26/71,11/30) -> (61/42,16/11) Hyperbolic Matrix(953,-350,226,-83) (11/30,7/19) -> (21/5,17/4) Hyperbolic Matrix(317,-118,180,-67) (7/19,3/8) -> (7/4,23/13) Hyperbolic Matrix(1305,-494,494,-187) (3/8,11/29) -> (29/11,37/14) Hyperbolic Matrix(763,-290,1034,-393) (11/29,8/21) -> (14/19,17/23) Hyperbolic Matrix(1661,-634,448,-171) (8/21,13/34) -> (37/10,26/7) Hyperbolic Matrix(5875,-2248,2062,-789) (13/34,31/81) -> (37/13,57/20) Hyperbolic Matrix(5559,-2128,1570,-601) (31/81,18/47) -> (46/13,39/11) Hyperbolic Matrix(4123,-1580,1704,-653) (18/47,5/13) -> (75/31,46/19) Hyperbolic Matrix(2549,-984,1790,-691) (5/13,17/44) -> (37/26,47/33) Hyperbolic Matrix(2011,-778,716,-277) (17/44,12/31) -> (14/5,45/16) Hyperbolic Matrix(939,-364,178,-69) (12/31,7/18) -> (21/4,16/3) Hyperbolic Matrix(893,-348,1650,-643) (7/18,16/41) -> (20/37,13/24) Hyperbolic Matrix(3923,-1532,1160,-453) (16/41,9/23) -> (71/21,44/13) Hyperbolic Matrix(397,-162,968,-395) (2/5,9/22) -> (9/22,16/39) Parabolic Matrix(2327,-960,526,-217) (7/17,19/46) -> (53/12,31/7) Hyperbolic Matrix(4123,-1704,1580,-653) (19/46,12/29) -> (60/23,47/18) Hyperbolic Matrix(3813,-1580,2324,-963) (12/29,17/41) -> (41/25,64/39) Hyperbolic Matrix(1837,-768,830,-347) (5/12,18/43) -> (42/19,31/14) Hyperbolic Matrix(2273,-952,4238,-1775) (18/43,31/74) -> (15/28,22/41) Hyperbolic Matrix(4061,-1704,1704,-715) (13/31,21/50) -> (81/34,31/13) Hyperbolic Matrix(3579,-1504,2620,-1101) (21/50,8/19) -> (56/41,41/30) Hyperbolic Matrix(4709,-1986,6760,-2851) (8/19,27/64) -> (39/56,62/89) Hyperbolic Matrix(24287,-10248,6714,-2833) (27/64,46/109) -> (170/47,123/34) Hyperbolic Matrix(12773,-5392,3532,-1491) (46/109,19/45) -> (47/13,170/47) Hyperbolic Matrix(3399,-1436,2180,-921) (19/45,11/26) -> (53/34,39/25) Hyperbolic Matrix(4051,-1716,6924,-2933) (11/26,25/59) -> (31/53,55/94) Hyperbolic Matrix(3481,-1478,610,-259) (14/33,17/40) -> (57/10,40/7) Hyperbolic Matrix(609,-260,260,-111) (17/40,3/7) -> (7/3,47/20) Hyperbolic Matrix(1125,-488,302,-131) (3/7,10/23) -> (26/7,41/11) Hyperbolic Matrix(821,-358,172,-75) (10/23,7/16) -> (19/4,24/5) Hyperbolic Matrix(1465,-642,518,-227) (7/16,18/41) -> (48/17,17/6) Hyperbolic Matrix(3101,-1362,4524,-1987) (18/41,29/66) -> (37/54,24/35) Hyperbolic Matrix(1075,-474,474,-209) (11/25,4/9) -> (34/15,25/11) Hyperbolic Matrix(557,-250,684,-307) (4/9,9/20) -> (13/16,22/27) Hyperbolic Matrix(1837,-830,768,-347) (14/31,5/11) -> (55/23,12/5) Hyperbolic Matrix(3981,-1846,1102,-511) (6/13,13/28) -> (65/18,112/31) Hyperbolic Matrix(2199,-1024,466,-217) (13/28,7/15) -> (33/7,85/18) Hyperbolic Matrix(589,-278,464,-219) (7/15,1/2) -> (33/26,47/37) Hyperbolic Matrix(447,-236,608,-321) (1/2,8/15) -> (36/49,25/34) Hyperbolic Matrix(6293,-3378,1332,-715) (22/41,7/13) -> (137/29,52/11) Hyperbolic Matrix(3221,-1740,1368,-739) (7/13,20/37) -> (40/17,73/31) Hyperbolic Matrix(441,-242,800,-439) (6/11,11/20) -> (11/20,16/29) Parabolic Matrix(437,-244,120,-67) (5/9,9/16) -> (29/8,11/3) Hyperbolic Matrix(317,-180,118,-67) (9/16,4/7) -> (8/3,27/10) Hyperbolic Matrix(393,-226,40,-23) (4/7,19/33) -> (9/1,10/1) Hyperbolic Matrix(4013,-2312,6962,-4011) (19/33,34/59) -> (34/59,49/85) Parabolic Matrix(12733,-7354,4874,-2815) (41/71,26/45) -> (128/49,81/31) Hyperbolic Matrix(1021,-592,902,-523) (11/19,29/50) -> (9/8,17/15) Hyperbolic Matrix(7683,-4468,2980,-1733) (25/43,32/55) -> (116/45,49/19) Hyperbolic Matrix(1291,-754,940,-549) (7/12,31/53) -> (59/43,11/8) Hyperbolic Matrix(5155,-3028,1602,-941) (37/63,10/17) -> (74/23,29/9) Hyperbolic Matrix(195,-116,116,-69) (10/17,3/5) -> (5/3,22/13) Hyperbolic Matrix(1467,-890,2006,-1217) (3/5,17/28) -> (19/26,49/67) Hyperbolic Matrix(1697,-1032,1156,-703) (31/51,14/23) -> (22/15,25/17) Hyperbolic Matrix(2311,-1408,540,-329) (14/23,25/41) -> (47/11,30/7) Hyperbolic Matrix(3157,-1926,1926,-1175) (25/41,11/18) -> (59/36,41/25) Hyperbolic Matrix(653,-400,462,-283) (11/18,8/13) -> (24/17,17/12) Hyperbolic Matrix(3489,-2152,1036,-639) (8/13,29/47) -> (37/11,64/19) Hyperbolic Matrix(5405,-3336,3336,-2059) (29/47,21/34) -> (81/50,47/29) Hyperbolic Matrix(18469,-11414,11228,-6939) (55/89,89/144) -> (125/76,51/31) Hyperbolic Matrix(21305,-13168,13602,-8407) (89/144,34/55) -> (130/83,47/30) Hyperbolic Matrix(8161,-5046,5976,-3695) (34/55,47/76) -> (71/52,56/41) Hyperbolic Matrix(21797,-13482,9576,-5923) (47/76,60/97) -> (66/29,173/76) Hyperbolic Matrix(2753,-1710,842,-523) (18/29,23/37) -> (49/15,36/11) Hyperbolic Matrix(457,-288,722,-455) (5/8,12/19) -> (12/19,19/30) Parabolic Matrix(7341,-4688,4502,-2875) (30/47,23/36) -> (75/46,106/65) Hyperbolic Matrix(1701,-1088,530,-339) (23/36,16/25) -> (16/5,45/14) Hyperbolic Matrix(2797,-1792,2040,-1307) (16/25,25/39) -> (37/27,48/35) Hyperbolic Matrix(3399,-2180,1436,-921) (25/39,9/14) -> (71/30,45/19) Hyperbolic Matrix(10747,-6924,6862,-4421) (38/59,29/45) -> (83/53,130/83) Hyperbolic Matrix(791,-510,76,-49) (29/45,20/31) -> (10/1,11/1) Hyperbolic Matrix(1957,-1268,338,-219) (11/17,24/37) -> (52/9,29/5) Hyperbolic Matrix(2143,-1392,1578,-1025) (24/37,13/20) -> (19/14,72/53) Hyperbolic Matrix(639,-416,788,-513) (13/20,2/3) -> (30/37,13/16) Hyperbolic Matrix(773,-528,590,-403) (2/3,13/19) -> (17/13,38/29) Hyperbolic Matrix(4379,-3000,1140,-781) (13/19,37/54) -> (23/6,73/19) Hyperbolic Matrix(1875,-1288,1102,-757) (24/35,11/16) -> (17/10,80/47) Hyperbolic Matrix(4811,-3312,1762,-1213) (11/16,31/45) -> (101/37,71/26) Hyperbolic Matrix(8075,-5564,3084,-2125) (31/45,20/29) -> (144/55,55/21) Hyperbolic Matrix(3515,-2438,2562,-1777) (9/13,34/49) -> (48/35,59/43) Hyperbolic Matrix(4941,-3430,1756,-1219) (34/49,25/36) -> (45/16,76/27) Hyperbolic Matrix(2633,-1830,3256,-2263) (41/59,16/23) -> (38/47,17/21) Hyperbolic Matrix(2549,-1790,984,-691) (7/10,26/37) -> (44/17,57/22) Hyperbolic Matrix(11175,-7858,3022,-2125) (45/64,64/91) -> (122/33,37/10) Hyperbolic Matrix(11029,-7758,2984,-2099) (64/91,19/27) -> (85/23,122/33) Hyperbolic Matrix(653,-462,400,-283) (12/17,5/7) -> (31/19,18/11) Hyperbolic Matrix(469,-338,648,-467) (5/7,13/18) -> (13/18,21/29) Parabolic Matrix(2797,-2040,1792,-1307) (8/11,27/37) -> (39/25,64/41) Hyperbolic Matrix(1755,-1282,538,-393) (27/37,19/26) -> (13/4,49/15) Hyperbolic Matrix(3579,-2620,1504,-1101) (30/41,11/15) -> (69/29,50/21) Hyperbolic Matrix(5359,-3942,1214,-893) (25/34,39/53) -> (75/17,53/12) Hyperbolic Matrix(2143,-1578,1392,-1025) (39/53,14/19) -> (20/13,57/37) Hyperbolic Matrix(1141,-844,534,-395) (17/23,20/27) -> (32/15,15/7) Hyperbolic Matrix(773,-590,528,-403) (16/21,13/17) -> (19/13,22/15) Hyperbolic Matrix(2177,-1668,1544,-1183) (13/17,23/30) -> (31/22,55/39) Hyperbolic Matrix(315,-244,244,-189) (10/13,7/9) -> (9/7,22/17) Hyperbolic Matrix(6439,-5032,2366,-1849) (25/32,43/55) -> (117/43,49/18) Hyperbolic Matrix(661,-518,208,-163) (18/23,11/14) -> (19/6,16/5) Hyperbolic Matrix(589,-464,278,-219) (11/14,26/33) -> (2/1,17/8) Hyperbolic Matrix(4265,-3362,5408,-4263) (26/33,41/52) -> (41/52,56/71) Parabolic Matrix(277,-220,34,-27) (19/24,4/5) -> (8/1,17/2) Hyperbolic Matrix(4843,-3900,1854,-1493) (4/5,25/31) -> (175/67,128/49) Hyperbolic Matrix(477,-392,578,-475) (9/11,14/17) -> (14/17,19/23) Parabolic Matrix(303,-254,68,-57) (5/6,11/13) -> (31/7,9/2) Hyperbolic Matrix(1811,-1538,670,-569) (11/13,17/20) -> (27/10,73/27) Hyperbolic Matrix(1809,-1540,1540,-1311) (17/20,23/27) -> (27/23,47/40) Hyperbolic Matrix(669,-572,200,-171) (23/27,6/7) -> (10/3,57/17) Hyperbolic Matrix(365,-318,132,-115) (6/7,7/8) -> (11/4,36/13) Hyperbolic Matrix(1021,-902,592,-523) (7/8,8/9) -> (50/29,69/40) Hyperbolic Matrix(423,-382,196,-177) (9/10,1/1) -> (41/19,13/6) Hyperbolic Matrix(535,-582,148,-161) (1/1,10/9) -> (112/31,47/13) Hyperbolic Matrix(1453,-1648,842,-955) (17/15,8/7) -> (88/51,19/11) Hyperbolic Matrix(7639,-8978,6498,-7637) (47/40,67/57) -> (67/57,87/74) Parabolic Matrix(1111,-1308,626,-737) (20/17,13/11) -> (55/31,16/9) Hyperbolic Matrix(965,-1142,398,-471) (13/11,19/16) -> (63/26,17/7) Hyperbolic Matrix(477,-578,392,-475) (6/5,17/14) -> (17/14,28/23) Parabolic Matrix(473,-580,84,-103) (11/9,16/13) -> (28/5,17/3) Hyperbolic Matrix(639,-788,416,-513) (16/13,21/17) -> (23/15,20/13) Hyperbolic Matrix(2633,-3256,1830,-2263) (21/17,26/21) -> (82/57,59/41) Hyperbolic Matrix(387,-482,110,-137) (31/25,5/4) -> (7/2,53/15) Hyperbolic Matrix(685,-866,246,-311) (5/4,19/15) -> (25/9,39/14) Hyperbolic Matrix(4265,-5408,3362,-4263) (19/15,52/41) -> (52/41,85/67) Parabolic Matrix(4315,-5482,1638,-2081) (47/37,14/11) -> (108/41,29/11) Hyperbolic Matrix(845,-1078,272,-347) (51/40,37/29) -> (3/1,25/8) Hyperbolic Matrix(2503,-3202,598,-765) (55/43,32/25) -> (46/11,21/5) Hyperbolic Matrix(1891,-2450,1458,-1889) (22/17,35/27) -> (35/27,48/37) Parabolic Matrix(1883,-2458,1156,-1509) (30/23,17/13) -> (57/35,44/27) Hyperbolic Matrix(1851,-2428,1126,-1477) (38/29,21/16) -> (23/14,74/45) Hyperbolic Matrix(763,-1034,290,-393) (4/3,19/14) -> (21/8,50/19) Hyperbolic Matrix(11119,-15106,2892,-3929) (72/53,125/92) -> (123/32,50/13) Hyperbolic Matrix(11513,-15644,2996,-4071) (125/92,53/39) -> (73/19,123/32) Hyperbolic Matrix(5597,-7608,1656,-2251) (53/39,34/25) -> (98/29,71/21) Hyperbolic Matrix(447,-608,236,-321) (34/25,15/11) -> (17/9,2/1) Hyperbolic Matrix(1467,-2006,890,-1217) (41/30,26/19) -> (28/17,33/20) Hyperbolic Matrix(2485,-3404,1544,-2115) (26/19,37/27) -> (37/23,66/41) Hyperbolic Matrix(469,-648,338,-467) (11/8,18/13) -> (18/13,25/18) Parabolic Matrix(2421,-3406,1546,-2175) (7/5,38/27) -> (36/23,83/53) Hyperbolic Matrix(7673,-10804,2806,-3951) (38/27,69/49) -> (41/15,134/49) Hyperbolic Matrix(10855,-15432,4148,-5897) (27/19,91/64) -> (157/60,123/47) Hyperbolic Matrix(9241,-13142,3532,-5023) (91/64,64/45) -> (34/13,157/60) Hyperbolic Matrix(4299,-6116,1280,-1821) (64/45,37/26) -> (47/14,84/25) Hyperbolic Matrix(4175,-5992,1528,-2193) (33/23,56/39) -> (112/41,41/15) Hyperbolic Matrix(4471,-6440,1728,-2489) (36/25,49/34) -> (119/46,44/17) Hyperbolic Matrix(2387,-3442,1396,-2013) (49/34,13/9) -> (53/31,65/38) Hyperbolic Matrix(2049,-2974,556,-807) (29/20,45/31) -> (11/3,59/16) Hyperbolic Matrix(2271,-3310,706,-1029) (16/11,35/24) -> (45/14,74/23) Hyperbolic Matrix(3101,-4524,1362,-1987) (35/24,19/13) -> (107/47,41/18) Hyperbolic Matrix(4139,-6092,2558,-3765) (25/17,3/2) -> (233/144,89/55) Hyperbolic Matrix(16887,-26018,7418,-11429) (57/37,94/61) -> (280/123,107/47) Hyperbolic Matrix(17273,-26622,7588,-11695) (94/61,37/24) -> (173/76,280/123) Hyperbolic Matrix(2853,-4400,1610,-2483) (37/24,17/11) -> (101/57,39/22) Hyperbolic Matrix(559,-866,122,-189) (17/11,14/9) -> (32/7,23/5) Hyperbolic Matrix(2857,-4460,1670,-2607) (64/41,25/16) -> (65/38,12/7) Hyperbolic Matrix(4569,-7148,2684,-4199) (61/39,36/23) -> (80/47,63/37) Hyperbolic Matrix(457,-722,288,-455) (11/7,19/12) -> (19/12,27/17) Parabolic Matrix(1919,-3102,498,-805) (21/13,76/47) -> (50/13,27/7) Hyperbolic Matrix(3885,-6284,1634,-2643) (76/47,55/34) -> (19/8,88/37) Hyperbolic Matrix(10373,-16782,2274,-3679) (55/34,144/89) -> (114/25,73/16) Hyperbolic Matrix(16331,-26450,10082,-16329) (34/21,115/71) -> (115/71,196/121) Parabolic Matrix(4233,-6866,1844,-2991) (60/37,13/8) -> (101/44,62/27) Hyperbolic Matrix(4903,-7992,1792,-2921) (44/27,75/46) -> (93/34,52/19) Hyperbolic Matrix(4831,-7880,1060,-1729) (106/65,31/19) -> (41/9,114/25) Hyperbolic Matrix(1551,-2540,494,-809) (18/11,77/47) -> (47/15,22/7) Hyperbolic Matrix(2867,-4698,916,-1501) (77/47,59/36) -> (25/8,47/15) Hyperbolic Matrix(1795,-3042,1058,-1793) (22/13,39/23) -> (39/23,56/33) Parabolic Matrix(2037,-3482,320,-547) (41/24,53/31) -> (19/3,51/8) Hyperbolic Matrix(2029,-3488,388,-667) (55/32,43/25) -> (47/9,21/4) Hyperbolic Matrix(9169,-15818,2798,-4827) (69/40,88/51) -> (154/47,59/18) Hyperbolic Matrix(727,-1258,204,-353) (19/11,26/15) -> (32/9,25/7) Hyperbolic Matrix(4013,-6962,2312,-4011) (26/15,59/34) -> (59/34,92/53) Parabolic Matrix(407,-710,90,-157) (40/23,7/4) -> (9/2,50/11) Hyperbolic Matrix(2369,-4202,358,-635) (39/22,55/31) -> (33/5,53/8) Hyperbolic Matrix(2363,-4210,490,-873) (57/32,41/23) -> (53/11,29/6) Hyperbolic Matrix(2161,-3854,1002,-1787) (41/23,66/37) -> (28/13,41/19) Hyperbolic Matrix(441,-800,242,-439) (9/5,20/11) -> (20/11,31/17) Parabolic Matrix(327,-602,44,-81) (11/6,24/13) -> (22/3,15/2) Hyperbolic Matrix(893,-1650,348,-643) (24/13,13/7) -> (59/23,18/7) Hyperbolic Matrix(2273,-4238,952,-1775) (13/7,28/15) -> (74/31,117/49) Hyperbolic Matrix(3759,-8084,1574,-3385) (43/20,28/13) -> (160/67,43/18) Hyperbolic Matrix(253,-554,58,-127) (13/6,11/5) -> (13/3,35/8) Hyperbolic Matrix(1855,-4098,502,-1109) (11/5,42/19) -> (48/13,85/23) Hyperbolic Matrix(211,-472,38,-85) (20/9,9/4) -> (11/2,28/5) Hyperbolic Matrix(1635,-3698,722,-1633) (9/4,43/19) -> (43/19,77/34) Parabolic Matrix(4081,-9374,1128,-2591) (62/27,23/10) -> (123/34,76/21) Hyperbolic Matrix(731,-1688,262,-605) (30/13,7/3) -> (53/19,14/5) Hyperbolic Matrix(6439,-15138,2738,-6437) (47/20,87/37) -> (87/37,127/54) Parabolic Matrix(591,-1394,92,-217) (33/14,26/11) -> (32/5,13/2) Hyperbolic Matrix(3901,-9242,810,-1919) (45/19,109/46) -> (77/16,53/11) Hyperbolic Matrix(3183,-7544,662,-1569) (109/46,64/27) -> (24/5,77/16) Hyperbolic Matrix(2813,-6672,1030,-2443) (64/27,19/8) -> (71/26,112/41) Hyperbolic Matrix(14411,-34322,6050,-14409) (50/21,131/55) -> (131/55,212/89) Parabolic Matrix(20057,-47894,4246,-10139) (117/49,160/67) -> (222/47,137/29) Hyperbolic Matrix(4261,-10184,1628,-3891) (43/18,55/23) -> (123/47,89/34) Hyperbolic Matrix(853,-2060,200,-483) (41/17,29/12) -> (17/4,47/11) Hyperbolic Matrix(3061,-7416,906,-2195) (46/19,63/26) -> (27/8,98/29) Hyperbolic Matrix(397,-968,162,-395) (17/7,22/9) -> (22/9,27/11) Parabolic Matrix(437,-1114,122,-311) (5/2,23/9) -> (25/7,43/12) Hyperbolic Matrix(2073,-5306,470,-1203) (23/9,64/25) -> (22/5,75/17) Hyperbolic Matrix(1583,-4060,278,-713) (41/16,59/23) -> (17/3,57/10) Hyperbolic Matrix(3485,-8978,1352,-3483) (18/7,67/26) -> (67/26,116/45) Parabolic Matrix(4529,-11714,1608,-4159) (75/29,119/46) -> (107/38,31/11) Hyperbolic Matrix(7587,-19816,2146,-5605) (47/18,175/67) -> (53/15,99/28) Hyperbolic Matrix(2059,-5382,360,-941) (81/31,34/13) -> (40/7,63/11) Hyperbolic Matrix(463,-1212,34,-89) (89/34,144/55) -> (12/1,1/0) Hyperbolic Matrix(1531,-4050,578,-1529) (37/14,45/17) -> (45/17,53/20) Parabolic Matrix(2611,-7062,552,-1493) (73/27,46/17) -> (52/11,71/15) Hyperbolic Matrix(1639,-4438,284,-769) (46/17,65/24) -> (23/4,52/9) Hyperbolic Matrix(769,-2084,100,-271) (65/24,19/7) -> (23/3,31/4) Hyperbolic Matrix(3401,-9248,1250,-3399) (19/7,68/25) -> (68/25,117/43) Parabolic Matrix(10923,-29872,3088,-8445) (134/49,227/83) -> (145/41,46/13) Hyperbolic Matrix(13147,-35958,3718,-10169) (227/83,93/34) -> (99/28,145/41) Hyperbolic Matrix(431,-1182,66,-181) (52/19,11/4) -> (13/2,46/7) Hyperbolic Matrix(22719,-63958,4810,-13541) (76/27,183/65) -> (307/65,222/47) Hyperbolic Matrix(17191,-48404,3640,-10249) (183/65,107/38) -> (85/18,307/65) Hyperbolic Matrix(2435,-6926,726,-2065) (54/19,37/13) -> (57/17,104/31) Hyperbolic Matrix(369,-1058,128,-367) (20/7,23/8) -> (23/8,26/9) Parabolic Matrix(5511,-18050,1682,-5509) (36/11,95/29) -> (95/29,154/47) Parabolic Matrix(823,-2774,170,-573) (64/19,27/8) -> (29/6,34/7) Hyperbolic Matrix(337,-1152,98,-335) (17/5,24/7) -> (24/7,31/9) Parabolic Matrix(1983,-7318,436,-1609) (59/16,48/13) -> (50/11,91/20) Hyperbolic Matrix(223,-832,26,-97) (41/11,15/4) -> (17/2,9/1) Hyperbolic Matrix(1275,-4802,338,-1273) (15/4,49/13) -> (49/13,83/22) Parabolic Matrix(593,-2260,90,-343) (19/5,42/11) -> (46/7,33/5) Hyperbolic Matrix(301,-1250,72,-299) (4/1,25/6) -> (25/6,46/11) Parabolic Matrix(1123,-5202,242,-1121) (37/8,51/11) -> (51/11,65/14) Parabolic Matrix(261,-1352,50,-259) (5/1,26/5) -> (26/5,47/9) Parabolic Matrix(217,-1458,32,-215) (20/3,27/4) -> (27/4,34/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(475,226,-1776,-845) -> Matrix(13,-4,36,-11) Matrix(2111,996,3406,1607) -> Matrix(39,-8,44,-9) Matrix(1283,602,1754,823) -> Matrix(13,-2,20,-3) Matrix(811,378,118,55) -> Matrix(41,-10,-4,1) Matrix(1967,914,2434,1131) -> Matrix(241,-62,276,-71) Matrix(2427,1124,922,427) -> Matrix(217,-58,116,-31) Matrix(2415,1112,1492,687) -> Matrix(7,-2,-24,7) Matrix(2179,1000,3092,1419) -> Matrix(7,-2,4,-1) Matrix(1373,628,798,365) -> Matrix(13,-4,36,-11) Matrix(1133,512,790,357) -> Matrix(5,-4,4,-3) Matrix(563,254,-3726,-1681) -> Matrix(27,-2,68,-5) Matrix(1921,866,-5082,-2291) -> Matrix(17,-2,60,-7) Matrix(1123,504,1914,859) -> Matrix(53,-12,84,-19) Matrix(1009,452,788,353) -> Matrix(9,-2,-4,1) Matrix(1443,638,1780,787) -> Matrix(207,-58,232,-65) Matrix(557,246,-3222,-1423) -> Matrix(7,-2,88,-25) Matrix(1107,488,-4766,-2101) -> Matrix(13,-4,36,-11) Matrix(1439,634,-6648,-2929) -> Matrix(7,-2,-24,7) Matrix(555,244,-2104,-925) -> Matrix(33,-10,76,-23) Matrix(1103,484,1438,631) -> Matrix(27,-8,44,-13) Matrix(769,336,222,97) -> Matrix(31,-10,28,-9) Matrix(987,430,1430,623) -> Matrix(17,-6,20,-7) Matrix(1207,524,2080,903) -> Matrix(5,-2,8,-3) Matrix(545,236,1314,569) -> Matrix(13,-6,24,-11) Matrix(323,138,110,47) -> Matrix(9,-2,-4,1) Matrix(1943,826,3018,1283) -> Matrix(139,-36,112,-29) Matrix(1615,686,864,367) -> Matrix(99,-26,80,-21) Matrix(2257,956,1400,593) -> Matrix(7,-2,4,-1) Matrix(2687,1136,3328,1407) -> Matrix(129,-34,148,-39) Matrix(3653,1544,750,317) -> Matrix(15,-4,4,-1) Matrix(3863,1632,4940,2087) -> Matrix(15,-4,4,-1) Matrix(427,180,-1606,-677) -> Matrix(43,-12,104,-29) Matrix(1175,494,-5454,-2293) -> Matrix(7,-2,-108,31) Matrix(2675,1124,426,179) -> Matrix(201,-58,52,-15) Matrix(1067,448,-6090,-2557) -> Matrix(55,-16,-24,7) Matrix(1497,628,2348,985) -> Matrix(177,-52,160,-47) Matrix(1923,806,4588,1923) -> Matrix(67,-20,124,-37) Matrix(2669,1118,4586,1921) -> Matrix(87,-26,164,-49) Matrix(321,134,424,177) -> Matrix(7,-2,4,-1) Matrix(529,220,214,89) -> Matrix(31,-10,28,-9) Matrix(425,176,1374,569) -> Matrix(45,-16,76,-27) Matrix(2113,874,1482,613) -> Matrix(87,-32,68,-25) Matrix(4123,1704,-18072,-7469) -> Matrix(77,-30,172,-67) Matrix(4119,1702,530,219) -> Matrix(5,-2,-12,5) Matrix(4327,1786,2430,1003) -> Matrix(17,-6,20,-7) Matrix(13617,5618,5170,2133) -> Matrix(181,-66,96,-35) Matrix(18045,7442,10972,4525) -> Matrix(5,-2,28,-11) Matrix(631,260,-2740,-1129) -> Matrix(1,0,0,1) Matrix(735,302,-4208,-1729) -> Matrix(3,-2,-4,3) Matrix(2417,992,3472,1425) -> Matrix(1,-2,0,1) Matrix(2625,1076,3574,1465) -> Matrix(3,2,4,3) Matrix(1157,474,-4938,-2023) -> Matrix(21,2,52,5) Matrix(1255,512,1782,727) -> Matrix(1,0,-4,1) Matrix(733,298,1252,509) -> Matrix(13,-2,20,-3) Matrix(1739,686,616,243) -> Matrix(83,-26,16,-5) Matrix(1429,562,2352,925) -> Matrix(187,-60,240,-77) Matrix(1121,440,614,241) -> Matrix(79,-26,76,-25) Matrix(307,120,-1732,-677) -> Matrix(17,-6,20,-7) Matrix(303,118,-1420,-553) -> Matrix(5,-2,28,-11) Matrix(103,40,-1218,-473) -> Matrix(13,-6,24,-11) Matrix(10031,3894,5778,2243) -> Matrix(61,-30,120,-59) Matrix(4861,1886,3446,1337) -> Matrix(65,-36,56,-31) Matrix(1621,628,302,117) -> Matrix(5,-4,4,-3) Matrix(605,234,1316,509) -> Matrix(3,-4,4,-5) Matrix(301,116,-1108,-427) -> Matrix(11,-2,28,-5) Matrix(1309,502,2412,925) -> Matrix(3,-2,8,-5) Matrix(2213,848,702,269) -> Matrix(1,0,4,1) Matrix(1207,462,-4120,-1577) -> Matrix(1,0,-4,1) Matrix(9033,3452,6220,2377) -> Matrix(19,-8,12,-5) Matrix(8731,3336,-31608,-12077) -> Matrix(17,6,48,17) Matrix(2911,1112,500,191) -> Matrix(15,-2,8,-1) Matrix(2505,956,904,345) -> Matrix(7,-2,4,-1) Matrix(799,304,502,191) -> Matrix(17,-4,-4,1) Matrix(5791,2194,2394,907) -> Matrix(73,-20,84,-23) Matrix(3593,1360,996,377) -> Matrix(15,-4,4,-1) Matrix(1195,452,3392,1283) -> Matrix(59,-16,48,-13) Matrix(101,38,396,149) -> Matrix(7,-2,4,-1) Matrix(495,184,1676,623) -> Matrix(87,-26,164,-49) Matrix(1381,512,294,109) -> Matrix(13,-4,36,-11) Matrix(887,328,1966,727) -> Matrix(185,-58,252,-79) Matrix(1083,400,-3934,-1453) -> Matrix(183,-58,508,-161) Matrix(685,252,492,181) -> Matrix(67,-22,64,-21) Matrix(879,322,980,359) -> Matrix(29,-10,32,-11) Matrix(295,108,2248,823) -> Matrix(29,-10,32,-11) Matrix(1761,644,4006,1465) -> Matrix(181,-64,280,-99) Matrix(587,214,96,35) -> Matrix(21,-8,8,-3) Matrix(193,70,488,177) -> Matrix(1,0,0,1) Matrix(677,244,-2228,-803) -> Matrix(11,-2,28,-5) Matrix(1257,452,292,105) -> Matrix(9,-2,-4,1) Matrix(4933,1770,772,277) -> Matrix(83,-26,16,-5) Matrix(9569,3432,7542,2705) -> Matrix(79,-26,76,-25) Matrix(4057,1454,2514,901) -> Matrix(11,-4,-8,3) Matrix(579,206,2212,787) -> Matrix(1,0,-4,1) Matrix(2307,820,3272,1163) -> Matrix(1,0,-4,1) Matrix(1055,374,866,307) -> Matrix(9,-2,-4,1) Matrix(2773,976,1628,573) -> Matrix(7,-2,32,-9) Matrix(4779,1678,6878,2415) -> Matrix(15,-4,4,-1) Matrix(4391,1540,-13940,-4889) -> Matrix(55,-16,196,-57) Matrix(7827,2744,1720,603) -> Matrix(27,-8,-64,19) Matrix(475,166,764,267) -> Matrix(17,-6,20,-7) Matrix(727,230,452,143) -> Matrix(1,0,-4,1) Matrix(1085,342,92,29) -> Matrix(15,-4,4,-1) Matrix(12129,3820,10316,3249) -> Matrix(127,-36,60,-17) Matrix(6511,2048,4524,1423) -> Matrix(79,-24,56,-17) Matrix(1537,482,2618,821) -> Matrix(97,-30,152,-47) Matrix(449,140,542,169) -> Matrix(55,-18,52,-17) Matrix(3055,946,2154,667) -> Matrix(337,-116,276,-95) Matrix(2063,638,540,167) -> Matrix(167,-58,72,-25) Matrix(2325,712,3752,1149) -> Matrix(141,-52,160,-59) Matrix(4019,1230,5094,1559) -> Matrix(209,-78,276,-103) Matrix(5539,1694,9466,2895) -> Matrix(169,-64,272,-103) Matrix(269,82,1158,353) -> Matrix(17,-6,20,-7) Matrix(3117,946,2402,729) -> Matrix(5,-2,48,-19) Matrix(1599,484,446,135) -> Matrix(19,-8,12,-5) Matrix(87,26,532,159) -> Matrix(5,-2,8,-3) Matrix(3617,1076,1590,473) -> Matrix(5,-2,28,-11) Matrix(2027,602,266,79) -> Matrix(5,-2,-12,5) Matrix(883,262,792,235) -> Matrix(19,-8,12,-5) Matrix(703,208,970,287) -> Matrix(17,-8,32,-15) Matrix(2633,772,4560,1337) -> Matrix(1,0,0,1) Matrix(1751,512,790,231) -> Matrix(1,0,-4,1) Matrix(261,76,1226,357) -> Matrix(13,-2,20,-3) Matrix(1483,430,438,127) -> Matrix(17,-6,20,-7) Matrix(345,98,88,25) -> Matrix(15,-4,4,-1) Matrix(433,122,-2850,-803) -> Matrix(71,-22,184,-57) Matrix(3537,994,1982,557) -> Matrix(7,-2,4,-1) Matrix(2241,628,860,241) -> Matrix(161,-52,96,-31) Matrix(601,168,948,265) -> Matrix(79,-26,76,-25) Matrix(599,166,516,143) -> Matrix(17,-6,20,-7) Matrix(427,118,2486,687) -> Matrix(17,-6,88,-31) Matrix(29557,8166,18246,5041) -> Matrix(17,-6,292,-103) Matrix(6079,1678,2228,615) -> Matrix(175,-62,48,-17) Matrix(3339,920,940,259) -> Matrix(173,-62,120,-43) Matrix(3161,868,2480,681) -> Matrix(93,-34,52,-19) Matrix(599,164,84,23) -> Matrix(27,-10,-8,3) Matrix(3317,898,1954,529) -> Matrix(5,-2,88,-35) Matrix(1867,504,426,115) -> Matrix(29,-12,-12,5) Matrix(1951,524,592,159) -> Matrix(5,-2,8,-3) Matrix(3725,998,2288,613) -> Matrix(1,0,-4,1) Matrix(3809,1020,6606,1769) -> Matrix(7,-2,4,-1) Matrix(9649,2580,2876,769) -> Matrix(31,-12,44,-17) Matrix(10039,2662,4220,1119) -> Matrix(13,-6,24,-11) Matrix(9109,2414,6328,1677) -> Matrix(5,-4,4,-3) Matrix(3285,868,2108,557) -> Matrix(41,-18,16,-7) Matrix(419,110,758,199) -> Matrix(21,-10,40,-19) Matrix(1929,502,1172,305) -> Matrix(3,-2,8,-5) Matrix(1335,344,586,151) -> Matrix(1,0,4,1) Matrix(977,234,572,137) -> Matrix(11,-4,36,-13) Matrix(1383,328,974,231) -> Matrix(153,-58,124,-47) Matrix(3485,818,1538,361) -> Matrix(5,-2,128,-51) Matrix(1215,284,646,151) -> Matrix(73,-30,56,-23) Matrix(2669,622,1858,433) -> Matrix(7,-2,4,-1) Matrix(4603,1068,7426,1723) -> Matrix(131,-54,148,-61) Matrix(14009,3220,5956,1369) -> Matrix(111,-44,164,-65) Matrix(24869,5710,15370,3529) -> Matrix(5,-2,-32,13) Matrix(2573,590,1208,277) -> Matrix(29,-12,-12,5) Matrix(4663,1068,1288,295) -> Matrix(47,-20,40,-17) Matrix(8679,1982,4900,1119) -> Matrix(37,-16,44,-19) Matrix(31573,7206,13254,3025) -> Matrix(275,-122,408,-181) Matrix(3535,806,1364,311) -> Matrix(43,-20,28,-13) Matrix(1041,236,322,73) -> Matrix(13,-6,24,-11) Matrix(559,126,1362,307) -> Matrix(45,-22,88,-43) Matrix(317,70,240,53) -> Matrix(1,0,0,1) Matrix(3409,744,1984,433) -> Matrix(1,-2,4,-7) Matrix(3407,742,1428,311) -> Matrix(3,2,4,3) Matrix(1741,378,1110,241) -> Matrix(1,4,0,1) Matrix(8625,1868,12268,2657) -> Matrix(3,2,4,3) Matrix(315,68,1978,427) -> Matrix(1,0,4,1) Matrix(3557,766,1342,289) -> Matrix(49,2,24,1) Matrix(6455,1372,9292,1975) -> Matrix(1,0,-4,1) Matrix(3543,752,2596,551) -> Matrix(95,-22,108,-25) Matrix(3619,766,2830,599) -> Matrix(31,-8,4,-1) Matrix(9199,1944,4008,847) -> Matrix(51,-14,164,-45) Matrix(2435,514,1966,415) -> Matrix(7,-2,4,-1) Matrix(1021,214,1646,345) -> Matrix(17,-6,20,-7) Matrix(627,130,1172,243) -> Matrix(13,-4,36,-11) Matrix(3205,662,702,145) -> Matrix(19,-6,-60,19) Matrix(545,112,1562,321) -> Matrix(79,-26,76,-25) Matrix(921,176,382,73) -> Matrix(37,-16,44,-19) Matrix(1451,274,842,159) -> Matrix(5,-2,8,-3) Matrix(991,184,684,127) -> Matrix(55,-26,36,-17) Matrix(379,70,1294,239) -> Matrix(53,-26,104,-51) Matrix(983,176,754,135) -> Matrix(3,-2,8,-5) Matrix(3923,698,1658,295) -> Matrix(1,0,0,1) Matrix(3537,622,1052,185) -> Matrix(3,-10,4,-13) Matrix(5933,1034,3678,641) -> Matrix(7,2,-4,-1) Matrix(3677,638,974,169) -> Matrix(49,2,24,1) Matrix(225,38,148,25) -> Matrix(7,-2,4,-1) Matrix(517,82,662,105) -> Matrix(17,-6,20,-7) Matrix(1251,196,734,115) -> Matrix(5,-2,28,-11) Matrix(2705,412,952,145) -> Matrix(69,-26,8,-3) Matrix(3725,562,802,121) -> Matrix(5,-2,108,-43) Matrix(509,76,730,109) -> Matrix(5,-2,-12,5) Matrix(501,68,862,117) -> Matrix(3,-2,8,-5) Matrix(1927,254,1358,179) -> Matrix(49,-38,40,-31) Matrix(923,118,1494,191) -> Matrix(7,6,8,7) Matrix(211,26,284,35) -> Matrix(5,-2,8,-3) Matrix(2523,292,1754,203) -> Matrix(79,-24,56,-17) Matrix(209,24,1402,161) -> Matrix(31,-10,28,-9) Matrix(347,38,210,23) -> Matrix(5,-2,8,-3) Matrix(1991,192,1234,119) -> Matrix(23,-10,-16,7) Matrix(469,34,400,29) -> Matrix(7,-2,4,-1) Matrix(393,-40,226,-23) -> Matrix(13,-6,24,-11) Matrix(775,-92,278,-33) -> Matrix(41,-24,12,-7) Matrix(2139,-278,1208,-157) -> Matrix(25,-18,32,-23) Matrix(327,-44,602,-81) -> Matrix(7,-4,16,-9) Matrix(217,-32,1458,-215) -> Matrix(17,-16,16,-15) Matrix(2047,-308,432,-65) -> Matrix(3,-4,4,-5) Matrix(431,-66,1182,-181) -> Matrix(1,0,0,1) Matrix(591,-92,1394,-217) -> Matrix(5,-2,8,-3) Matrix(4121,-714,2326,-403) -> Matrix(19,-4,24,-5) Matrix(2111,-368,740,-129) -> Matrix(47,-12,4,-1) Matrix(3481,-610,1478,-259) -> Matrix(29,-8,40,-11) Matrix(473,-84,580,-103) -> Matrix(41,-14,44,-15) Matrix(523,-96,158,-29) -> Matrix(9,-4,16,-7) Matrix(939,-178,364,-69) -> Matrix(67,-32,44,-21) Matrix(821,-172,358,-75) -> Matrix(13,-8,44,-27) Matrix(2047,-432,308,-65) -> Matrix(115,-72,8,-5) Matrix(2199,-466,1024,-217) -> Matrix(3,-2,8,-5) Matrix(1173,-254,254,-55) -> Matrix(3,-2,-28,19) Matrix(559,-122,866,-189) -> Matrix(31,-22,24,-17) Matrix(303,-68,254,-57) -> Matrix(5,-4,4,-3) Matrix(253,-58,554,-127) -> Matrix(25,-18,32,-23) Matrix(2311,-540,1408,-329) -> Matrix(5,-4,24,-19) Matrix(953,-226,350,-83) -> Matrix(25,-22,8,-7) Matrix(1919,-498,3102,-805) -> Matrix(7,6,8,7) Matrix(1327,-348,3634,-953) -> Matrix(1,2,0,1) Matrix(931,-246,246,-65) -> Matrix(17,2,8,1) Matrix(1125,-302,488,-131) -> Matrix(11,-2,28,-5) Matrix(1661,-448,634,-171) -> Matrix(71,-16,40,-9) Matrix(437,-120,244,-67) -> Matrix(17,-6,20,-7) Matrix(437,-122,1114,-311) -> Matrix(5,-2,8,-3) Matrix(727,-204,1258,-353) -> Matrix(5,-2,8,-3) Matrix(337,-98,1152,-335) -> Matrix(69,-34,136,-67) Matrix(3923,-1160,1532,-453) -> Matrix(53,-28,36,-19) Matrix(3489,-1036,2152,-639) -> Matrix(11,-6,24,-13) Matrix(4299,-1280,6116,-1821) -> Matrix(7,-4,16,-9) Matrix(669,-200,572,-171) -> Matrix(29,-16,20,-11) Matrix(523,-158,96,-29) -> Matrix(17,-10,12,-7) Matrix(2185,-666,666,-203) -> Matrix(7,-4,16,-9) Matrix(2753,-842,1710,-523) -> Matrix(7,-4,-12,7) Matrix(1701,-530,1088,-339) -> Matrix(19,-12,8,-5) Matrix(661,-208,518,-163) -> Matrix(19,-12,8,-5) Matrix(369,-128,1058,-367) -> Matrix(33,-32,32,-31) Matrix(2111,-740,368,-129) -> Matrix(7,-8,8,-9) Matrix(3715,-1306,3166,-1113) -> Matrix(33,-38,20,-23) Matrix(1465,-518,642,-227) -> Matrix(3,-4,16,-21) Matrix(2011,-716,778,-277) -> Matrix(25,-36,16,-23) Matrix(685,-246,866,-311) -> Matrix(3,-10,4,-13) Matrix(365,-132,318,-115) -> Matrix(1,0,0,1) Matrix(4859,-1776,3450,-1261) -> Matrix(23,-38,20,-33) Matrix(4175,-1528,5992,-2193) -> Matrix(3,-8,-4,11) Matrix(4811,-1762,3312,-1213) -> Matrix(13,-44,8,-27) Matrix(953,-350,226,-83) -> Matrix(1,-10,0,1) Matrix(317,-118,180,-67) -> Matrix(3,2,4,3) Matrix(1305,-494,494,-187) -> Matrix(39,-2,20,-1) Matrix(763,-290,1034,-393) -> Matrix(13,-2,20,-3) Matrix(1661,-634,448,-171) -> Matrix(15,-2,8,-1) Matrix(5875,-2248,2062,-789) -> Matrix(39,-10,4,-1) Matrix(5559,-2128,1570,-601) -> Matrix(5,-4,4,-3) Matrix(4123,-1580,1704,-653) -> Matrix(39,-8,44,-9) Matrix(2549,-984,1790,-691) -> Matrix(61,-14,48,-11) Matrix(2011,-778,716,-277) -> Matrix(23,-6,4,-1) Matrix(939,-364,178,-69) -> Matrix(19,-6,16,-5) Matrix(893,-348,1650,-643) -> Matrix(1,0,0,1) Matrix(3923,-1532,1160,-453) -> Matrix(37,-16,44,-19) Matrix(397,-162,968,-395) -> Matrix(53,-26,104,-51) Matrix(2327,-960,526,-217) -> Matrix(49,-26,-32,17) Matrix(4123,-1704,1580,-653) -> Matrix(231,-124,136,-73) Matrix(3813,-1580,2324,-963) -> Matrix(11,-6,68,-37) Matrix(1837,-768,830,-347) -> Matrix(7,-4,-12,7) Matrix(2273,-952,4238,-1775) -> Matrix(7,-4,16,-9) Matrix(4061,-1704,1704,-715) -> Matrix(53,-30,76,-43) Matrix(3579,-1504,2620,-1101) -> Matrix(145,-84,164,-95) Matrix(4709,-1986,6760,-2851) -> Matrix(47,-28,-52,31) Matrix(24287,-10248,6714,-2833) -> Matrix(217,-130,212,-127) Matrix(12773,-5392,3532,-1491) -> Matrix(83,-50,88,-53) Matrix(3399,-1436,2180,-921) -> Matrix(79,-48,28,-17) Matrix(4051,-1716,6924,-2933) -> Matrix(79,-50,128,-81) Matrix(3481,-1478,610,-259) -> Matrix(19,-12,8,-5) Matrix(609,-260,260,-111) -> Matrix(1,0,0,1) Matrix(1125,-488,302,-131) -> Matrix(5,-4,4,-3) Matrix(821,-358,172,-75) -> Matrix(3,-2,8,-5) Matrix(1465,-642,518,-227) -> Matrix(51,-32,8,-5) Matrix(3101,-1362,4524,-1987) -> Matrix(81,-52,148,-95) Matrix(1075,-474,474,-209) -> Matrix(3,-2,44,-29) Matrix(557,-250,684,-307) -> Matrix(81,-58,88,-63) Matrix(1837,-830,768,-347) -> Matrix(73,-54,96,-71) Matrix(3981,-1846,1102,-511) -> Matrix(5,-4,4,-3) Matrix(2199,-1024,466,-217) -> Matrix(5,-4,4,-3) Matrix(589,-278,464,-219) -> Matrix(13,-12,12,-11) Matrix(447,-236,608,-321) -> Matrix(5,-2,8,-3) Matrix(6293,-3378,1332,-715) -> Matrix(1,0,0,1) Matrix(3221,-1740,1368,-739) -> Matrix(31,-12,44,-17) Matrix(441,-242,800,-439) -> Matrix(37,-18,72,-35) Matrix(437,-244,120,-67) -> Matrix(17,-10,12,-7) Matrix(317,-180,118,-67) -> Matrix(19,-12,8,-5) Matrix(393,-226,40,-23) -> Matrix(5,-4,4,-3) Matrix(4013,-2312,6962,-4011) -> Matrix(13,-12,12,-11) Matrix(12733,-7354,4874,-2815) -> Matrix(7,12,4,7) Matrix(1021,-592,902,-523) -> Matrix(5,-4,4,-3) Matrix(7683,-4468,2980,-1733) -> Matrix(139,-68,92,-45) Matrix(1291,-754,940,-549) -> Matrix(63,-38,68,-41) Matrix(5155,-3028,1602,-941) -> Matrix(31,-20,76,-49) Matrix(195,-116,116,-69) -> Matrix(3,-2,-4,3) Matrix(1467,-890,2006,-1217) -> Matrix(57,-44,92,-71) Matrix(1697,-1032,1156,-703) -> Matrix(97,-76,60,-47) Matrix(2311,-1408,540,-329) -> Matrix(91,-72,-24,19) Matrix(3157,-1926,1926,-1175) -> Matrix(5,-4,84,-67) Matrix(653,-400,462,-283) -> Matrix(71,-58,60,-49) Matrix(3489,-2152,1036,-639) -> Matrix(59,-50,72,-61) Matrix(5405,-3336,3336,-2059) -> Matrix(7,-6,48,-41) Matrix(18469,-11414,11228,-6939) -> Matrix(23,-20,84,-73) Matrix(21305,-13168,13602,-8407) -> Matrix(9,-8,8,-7) Matrix(8161,-5046,5976,-3695) -> Matrix(113,-98,128,-111) Matrix(21797,-13482,9576,-5923) -> Matrix(7,-6,48,-41) Matrix(2753,-1710,842,-523) -> Matrix(9,-8,8,-7) Matrix(457,-288,722,-455) -> Matrix(49,-48,48,-47) Matrix(7341,-4688,4502,-2875) -> Matrix(7,-8,8,-9) Matrix(1701,-1088,530,-339) -> Matrix(5,-6,16,-19) Matrix(2797,-1792,2040,-1307) -> Matrix(15,-16,16,-17) Matrix(3399,-2180,1436,-921) -> Matrix(7,-8,8,-9) Matrix(10747,-6924,6862,-4421) -> Matrix(27,-34,4,-5) Matrix(791,-510,76,-49) -> Matrix(11,-14,4,-5) Matrix(1957,-1268,338,-219) -> Matrix(25,-36,16,-23) Matrix(2143,-1392,1578,-1025) -> Matrix(53,-82,64,-99) Matrix(639,-416,788,-513) -> Matrix(25,-42,28,-47) Matrix(773,-528,590,-403) -> Matrix(5,-2,8,-3) Matrix(4379,-3000,1140,-781) -> Matrix(119,-62,48,-25) Matrix(1875,-1288,1102,-757) -> Matrix(3,-2,20,-13) Matrix(4811,-3312,1762,-1213) -> Matrix(13,-10,4,-3) Matrix(8075,-5564,3084,-2125) -> Matrix(141,-104,80,-59) Matrix(3515,-2438,2562,-1777) -> Matrix(11,-12,12,-13) Matrix(4941,-3430,1756,-1219) -> Matrix(1,2,0,1) Matrix(2633,-1830,3256,-2263) -> Matrix(7,-36,8,-41) Matrix(2549,-1790,984,-691) -> Matrix(19,-8,12,-5) Matrix(11175,-7858,3022,-2125) -> Matrix(27,-22,16,-13) Matrix(11029,-7758,2984,-2099) -> Matrix(13,-18,8,-11) Matrix(653,-462,400,-283) -> Matrix(1,0,-4,1) Matrix(469,-338,648,-467) -> Matrix(21,-10,40,-19) Matrix(2797,-2040,1792,-1307) -> Matrix(41,-24,12,-7) Matrix(1755,-1282,538,-393) -> Matrix(3,-2,8,-5) Matrix(3579,-2620,1504,-1101) -> Matrix(1,0,0,1) Matrix(5359,-3942,1214,-893) -> Matrix(13,-8,-8,5) Matrix(2143,-1578,1392,-1025) -> Matrix(19,-12,8,-5) Matrix(1141,-844,534,-395) -> Matrix(11,-8,-4,3) Matrix(773,-590,528,-403) -> Matrix(5,-4,4,-3) Matrix(2177,-1668,1544,-1183) -> Matrix(65,-36,56,-31) Matrix(315,-244,244,-189) -> Matrix(3,-2,-4,3) Matrix(6439,-5032,2366,-1849) -> Matrix(49,-46,16,-15) Matrix(661,-518,208,-163) -> Matrix(3,-2,8,-5) Matrix(589,-464,278,-219) -> Matrix(19,-14,-4,3) Matrix(4265,-3362,5408,-4263) -> Matrix(265,-198,352,-263) Matrix(277,-220,34,-27) -> Matrix(5,-4,4,-3) Matrix(4843,-3900,1854,-1493) -> Matrix(289,-246,168,-143) Matrix(477,-392,578,-475) -> Matrix(57,-56,56,-55) Matrix(303,-254,68,-57) -> Matrix(5,-6,-4,5) Matrix(1811,-1538,670,-569) -> Matrix(9,-16,4,-7) Matrix(1809,-1540,1540,-1311) -> Matrix(7,-16,4,-9) Matrix(669,-572,200,-171) -> Matrix(3,-4,4,-5) Matrix(365,-318,132,-115) -> Matrix(1,2,0,1) Matrix(1021,-902,592,-523) -> Matrix(3,-2,8,-5) Matrix(423,-382,196,-177) -> Matrix(1,-2,0,1) Matrix(535,-582,148,-161) -> Matrix(3,-4,4,-5) Matrix(1453,-1648,842,-955) -> Matrix(5,-8,12,-19) Matrix(7639,-8978,6498,-7637) -> Matrix(41,-80,20,-39) Matrix(1111,-1308,626,-737) -> Matrix(3,-10,4,-13) Matrix(965,-1142,398,-471) -> Matrix(11,-12,12,-13) Matrix(477,-578,392,-475) -> Matrix(1,-6,0,1) Matrix(473,-580,84,-103) -> Matrix(1,2,0,1) Matrix(639,-788,416,-513) -> Matrix(1,2,0,1) Matrix(2633,-3256,1830,-2263) -> Matrix(17,-10,12,-7) Matrix(387,-482,110,-137) -> Matrix(5,-4,4,-3) Matrix(685,-866,246,-311) -> Matrix(13,-10,4,-3) Matrix(4265,-5408,3362,-4263) -> Matrix(41,-40,40,-39) Matrix(4315,-5482,1638,-2081) -> Matrix(83,-100,44,-53) Matrix(845,-1078,272,-347) -> Matrix(1,-2,-4,9) Matrix(2503,-3202,598,-765) -> Matrix(1,-28,0,1) Matrix(1891,-2450,1458,-1889) -> Matrix(1,0,16,1) Matrix(1883,-2458,1156,-1509) -> Matrix(1,0,-4,1) Matrix(1851,-2428,1126,-1477) -> Matrix(3,-2,8,-5) Matrix(763,-1034,290,-393) -> Matrix(67,-54,36,-29) Matrix(11119,-15106,2892,-3929) -> Matrix(853,-710,340,-283) Matrix(11513,-15644,2996,-4071) -> Matrix(887,-740,356,-297) Matrix(5597,-7608,1656,-2251) -> Matrix(179,-150,216,-181) Matrix(447,-608,236,-321) -> Matrix(45,-38,32,-27) Matrix(1467,-2006,890,-1217) -> Matrix(9,-8,8,-7) Matrix(2485,-3404,1544,-2115) -> Matrix(11,-10,-12,11) Matrix(469,-648,338,-467) -> Matrix(53,-52,52,-51) Matrix(2421,-3406,1546,-2175) -> Matrix(39,-44,8,-9) Matrix(7673,-10804,2806,-3951) -> Matrix(185,-212,48,-55) Matrix(10855,-15432,4148,-5897) -> Matrix(827,-1032,472,-589) Matrix(9241,-13142,3532,-5023) -> Matrix(685,-858,392,-491) Matrix(4299,-6116,1280,-1821) -> Matrix(89,-112,120,-151) Matrix(4175,-5992,1528,-2193) -> Matrix(29,-40,8,-11) Matrix(4471,-6440,1728,-2489) -> Matrix(25,-36,16,-23) Matrix(2387,-3442,1396,-2013) -> Matrix(3,-4,4,-5) Matrix(2049,-2974,556,-807) -> Matrix(11,-18,8,-13) Matrix(2271,-3310,706,-1029) -> Matrix(5,-8,12,-19) Matrix(3101,-4524,1362,-1987) -> Matrix(1,-2,8,-15) Matrix(4139,-6092,2558,-3765) -> Matrix(1,-2,0,1) Matrix(16887,-26018,7418,-11429) -> Matrix(3,-8,20,-53) Matrix(17273,-26622,7588,-11695) -> Matrix(1,-4,8,-31) Matrix(2853,-4400,1610,-2483) -> Matrix(3,-10,4,-13) Matrix(559,-866,122,-189) -> Matrix(1,-2,-4,9) Matrix(2857,-4460,1670,-2607) -> Matrix(1,-4,4,-15) Matrix(4569,-7148,2684,-4199) -> Matrix(3,-10,16,-53) Matrix(457,-722,288,-455) -> Matrix(1,-14,0,1) Matrix(1919,-3102,498,-805) -> Matrix(31,18,12,7) Matrix(3885,-6284,1634,-2643) -> Matrix(1,0,4,1) Matrix(10373,-16782,2274,-3679) -> Matrix(13,4,-36,-11) Matrix(16331,-26450,10082,-16329) -> Matrix(1,0,36,1) Matrix(4233,-6866,1844,-2991) -> Matrix(5,-6,16,-19) Matrix(4903,-7992,1792,-2921) -> Matrix(17,4,4,1) Matrix(4831,-7880,1060,-1729) -> Matrix(3,2,-8,-5) Matrix(1551,-2540,494,-809) -> Matrix(1,0,20,1) Matrix(2867,-4698,916,-1501) -> Matrix(1,0,-40,1) Matrix(1795,-3042,1058,-1793) -> Matrix(1,0,32,1) Matrix(2037,-3482,320,-547) -> Matrix(37,-14,8,-3) Matrix(2029,-3488,388,-667) -> Matrix(43,-14,40,-13) Matrix(9169,-15818,2798,-4827) -> Matrix(5,-2,28,-11) Matrix(727,-1258,204,-353) -> Matrix(19,-8,12,-5) Matrix(4013,-6962,2312,-4011) -> Matrix(101,-50,200,-99) Matrix(407,-710,90,-157) -> Matrix(7,-4,-12,7) Matrix(2369,-4202,358,-635) -> Matrix(53,-40,4,-3) Matrix(2363,-4210,490,-873) -> Matrix(5,-4,4,-3) Matrix(2161,-3854,1002,-1787) -> Matrix(3,-2,-4,3) Matrix(441,-800,242,-439) -> Matrix(45,-44,44,-43) Matrix(327,-602,44,-81) -> Matrix(9,-10,-8,9) Matrix(893,-1650,348,-643) -> Matrix(39,-46,28,-33) Matrix(2273,-4238,952,-1775) -> Matrix(17,-22,24,-31) Matrix(3759,-8084,1574,-3385) -> Matrix(3,14,4,19) Matrix(253,-554,58,-127) -> Matrix(1,-2,0,1) Matrix(1855,-4098,502,-1109) -> Matrix(13,8,8,5) Matrix(211,-472,38,-85) -> Matrix(1,2,0,1) Matrix(1635,-3698,722,-1633) -> Matrix(1,0,48,1) Matrix(4081,-9374,1128,-2591) -> Matrix(55,-18,52,-17) Matrix(731,-1688,262,-605) -> Matrix(43,-18,12,-5) Matrix(6439,-15138,2738,-6437) -> Matrix(145,-96,216,-143) Matrix(591,-1394,92,-217) -> Matrix(21,-16,4,-3) Matrix(3901,-9242,810,-1919) -> Matrix(1,0,0,1) Matrix(3183,-7544,662,-1569) -> Matrix(3,-2,8,-5) Matrix(2813,-6672,1030,-2443) -> Matrix(13,-10,4,-3) Matrix(14411,-34322,6050,-14409) -> Matrix(169,-112,252,-167) Matrix(20057,-47894,4246,-10139) -> Matrix(11,-8,40,-29) Matrix(4261,-10184,1628,-3891) -> Matrix(309,-230,176,-131) Matrix(853,-2060,200,-483) -> Matrix(39,-34,-8,7) Matrix(3061,-7416,906,-2195) -> Matrix(95,-86,116,-105) Matrix(397,-968,162,-395) -> Matrix(37,-36,36,-35) Matrix(437,-1114,122,-311) -> Matrix(13,-18,8,-11) Matrix(2073,-5306,470,-1203) -> Matrix(5,-6,-4,5) Matrix(1583,-4060,278,-713) -> Matrix(13,-18,8,-11) Matrix(3485,-8978,1352,-3483) -> Matrix(253,-378,168,-251) Matrix(4529,-11714,1608,-4159) -> Matrix(53,-84,12,-19) Matrix(7587,-19816,2146,-5605) -> Matrix(275,-472,208,-357) Matrix(2059,-5382,360,-941) -> Matrix(7,-12,-4,7) Matrix(463,-1212,34,-89) -> Matrix(33,-58,4,-7) Matrix(1531,-4050,578,-1529) -> Matrix(113,-224,56,-111) Matrix(2611,-7062,552,-1493) -> Matrix(5,-12,8,-19) Matrix(1639,-4438,284,-769) -> Matrix(17,-44,12,-31) Matrix(769,-2084,100,-271) -> Matrix(3,-8,-4,11) Matrix(3401,-9248,1250,-3399) -> Matrix(73,-216,24,-71) Matrix(10923,-29872,3088,-8445) -> Matrix(75,-296,56,-221) Matrix(13147,-35958,3718,-10169) -> Matrix(85,-344,64,-259) Matrix(431,-1182,66,-181) -> Matrix(1,4,0,1) Matrix(22719,-63958,4810,-13541) -> Matrix(1,-4,8,-31) Matrix(17191,-48404,3640,-10249) -> Matrix(1,-4,-4,17) Matrix(2435,-6926,726,-2065) -> Matrix(3,-22,4,-29) Matrix(369,-1058,128,-367) -> Matrix(1,-30,0,1) Matrix(5511,-18050,1682,-5509) -> Matrix(1,0,8,1) Matrix(823,-2774,170,-573) -> Matrix(5,-4,4,-3) Matrix(337,-1152,98,-335) -> Matrix(29,-28,28,-27) Matrix(1983,-7318,436,-1609) -> Matrix(3,-4,-8,11) Matrix(223,-832,26,-97) -> Matrix(1,-2,4,-7) Matrix(1275,-4802,338,-1273) -> Matrix(105,-208,52,-103) Matrix(593,-2260,90,-343) -> Matrix(39,-88,4,-9) Matrix(301,-1250,72,-299) -> Matrix(1,-38,0,1) Matrix(1123,-5202,242,-1121) -> Matrix(1,0,44,1) Matrix(261,-1352,50,-259) -> Matrix(21,-20,20,-19) Matrix(217,-1458,32,-215) -> Matrix(1,-46,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 12 Minimal number of generators: 3 Number of equivalence classes of cusps: 4 Genus: 0 Degree of H/liftables -> H/(image of liftables): 120 Degree of the the map X: 240 Degree of the the map Y: 480 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1440 Minimal number of generators: 241 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 60 Genus: 91 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 0/1 7/24 9/22 1/2 11/20 34/59 12/19 13/18 41/52 14/17 1/1 17/14 52/41 35/27 125/92 18/13 91/64 3/2 19/12 77/47 39/23 59/34 20/11 2/1 109/46 22/9 5/2 67/26 21/8 68/25 23/8 3/1 13/4 95/29 10/3 24/7 7/2 11/3 4/1 25/6 17/4 13/3 9/2 19/4 5/1 26/5 21/4 16/3 11/2 23/4 6/1 13/2 27/4 7/1 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 1/4 -7/15 5/21 1/4 -6/13 5/18 2/7 -5/11 1/3 1/2 -4/9 1/4 4/15 -15/34 15/52 -11/25 5/17 3/10 -7/16 5/16 -17/39 1/3 9/26 -10/23 3/8 2/5 -13/30 3/8 -3/7 1/5 1/4 -14/33 9/34 4/15 -11/26 1/4 -19/45 3/11 11/40 -8/19 9/32 2/7 -5/12 5/16 -17/41 1/3 13/38 -12/29 5/14 4/11 -19/46 3/8 -7/17 3/7 1/2 -9/22 1/8 -2/5 1/4 2/7 -7/18 5/12 -19/49 1/2 1/1 -12/31 0/1 1/2 -17/44 -1/4 -5/13 1/4 1/3 -3/8 1/4 -10/27 4/13 13/42 -17/46 29/92 -7/19 11/34 1/3 -11/30 15/44 -15/41 7/20 13/37 -4/11 2/5 1/2 -13/36 1/0 -9/25 1/4 1/3 -14/39 3/10 4/13 -33/92 13/40 -19/53 1/3 7/20 -5/14 1/4 -1/3 1/3 1/2 -4/13 5/14 4/11 -11/36 3/8 -7/23 3/8 5/13 -17/56 11/28 -10/33 2/5 5/12 -3/10 3/8 -2/7 0/1 1/4 -9/32 5/16 -7/25 13/40 1/3 -5/18 11/32 -8/29 16/45 5/14 -19/69 41/114 9/25 -11/40 29/80 -3/11 3/8 5/13 -13/48 19/48 -10/37 2/5 13/32 -7/26 7/16 -11/41 3/7 1/2 -15/56 1/4 -19/71 1/3 5/14 -4/15 3/8 2/5 -1/4 1/4 -4/17 11/28 2/5 -7/30 5/12 -3/13 3/7 1/2 -2/9 1/2 2/3 -3/14 1/8 -1/5 1/3 3/8 -2/11 1/2 4/7 -3/17 1/1 3/2 -1/6 1/4 -3/19 7/19 3/8 -2/13 3/8 2/5 -1/7 5/11 1/2 0/1 0/1 1/2 1/9 1/2 9/17 1/8 5/8 2/15 0/1 1/2 1/7 3/4 1/1 1/6 1/0 3/17 5/16 1/3 2/11 2/5 5/12 3/16 11/24 1/5 1/2 5/9 4/19 18/29 5/8 11/52 5/8 7/33 19/30 7/11 3/14 13/20 5/23 11/16 9/13 2/9 2/3 3/4 5/22 5/8 3/13 3/4 7/9 7/30 3/4 4/17 4/5 5/6 1/4 1/0 3/11 3/10 1/3 5/18 3/8 7/25 1/2 1/1 2/7 4/9 1/2 7/24 1/2 5/17 1/2 13/25 8/27 8/15 15/28 11/37 1/2 5/9 3/10 9/16 7/23 1/2 3/5 11/36 7/12 4/13 1/2 4/7 9/29 3/5 23/38 5/16 5/8 1/3 3/4 1/1 5/14 7/4 9/25 -1/1 1/0 4/11 2/1 1/0 11/30 1/0 7/19 -5/1 1/0 3/8 -1/4 11/29 1/10 1/9 8/21 0/1 1/6 13/34 1/4 5/13 1/4 1/3 17/44 1/4 12/31 2/7 3/10 7/18 3/8 16/41 2/5 5/12 9/23 1/2 3/5 11/28 1/0 2/5 2/5 1/2 9/22 1/2 7/17 1/2 11/21 12/29 1/2 6/11 17/41 17/31 11/20 5/12 9/16 8/19 7/12 10/17 27/64 55/92 46/109 3/5 19/45 3/5 35/58 11/26 5/8 3/7 1/2 3/5 10/23 1/2 2/3 7/16 5/8 4/9 2/3 11/16 9/20 29/40 14/31 14/19 31/42 5/11 3/4 13/17 11/24 19/24 6/13 4/5 5/6 7/15 5/6 11/13 1/2 1/0 7/13 1/4 1/3 20/37 2/5 5/12 13/24 3/8 19/35 5/12 3/7 6/11 4/9 1/2 11/20 1/2 5/9 1/2 5/9 9/16 5/8 4/7 2/3 3/4 19/33 5/6 1/1 34/59 1/1 49/85 1/1 7/6 15/26 1/0 41/71 1/2 1/1 26/45 2/5 1/2 11/19 1/2 3/5 29/50 1/0 18/31 0/1 1/0 7/12 7/12 10/17 13/20 2/3 3/5 5/7 3/4 14/23 11/14 26/33 25/41 31/39 35/44 11/18 29/36 8/13 5/6 16/19 5/8 11/12 12/19 1/1 19/30 37/36 7/11 1/1 13/12 9/14 5/4 20/31 5/4 4/3 11/17 11/8 7/5 24/37 34/23 3/2 13/20 19/12 2/3 0/1 1/0 13/19 5/11 1/2 24/35 9/16 4/7 11/16 3/4 31/45 7/10 5/7 20/29 3/4 4/5 9/13 1/1 3/2 16/23 -4/1 1/0 39/56 -9/8 23/33 -3/5 -1/2 7/10 1/4 26/37 1/2 2/3 45/64 3/4 64/91 1/1 19/27 1/1 1/0 12/17 -1/2 0/1 5/7 1/3 1/2 13/18 1/2 8/11 1/2 4/7 27/37 3/5 11/18 19/26 7/12 30/41 9/14 2/3 11/15 3/5 5/8 3/4 3/4 10/13 5/8 2/3 7/9 5/7 3/4 25/32 7/8 43/55 1/1 5/4 18/23 1/2 2/3 11/14 3/4 26/33 20/27 3/4 41/52 3/4 15/19 3/4 13/17 19/24 19/24 4/5 4/5 5/6 17/21 15/17 23/26 30/37 25/28 42/47 13/16 29/32 22/27 12/13 37/40 9/11 19/20 1/1 14/17 1/1 19/23 1/1 37/36 5/6 9/8 11/13 3/2 5/3 17/20 7/4 23/27 5/2 3/1 6/7 2/1 1/0 7/8 1/0 8/9 0/1 1/2 9/10 5/4 1/1 1/2 1/1 8/7 2/1 1/0 15/13 -1/1 1/0 7/6 5/4 20/17 2/1 5/2 13/11 1/2 1/1 19/16 7/4 6/5 2/1 1/0 17/14 1/0 11/9 -1/1 1/0 16/13 0/1 1/2 5/4 1/0 19/15 7/8 1/1 52/41 1/1 85/67 1/1 33/32 33/26 13/12 47/37 7/6 13/11 14/11 4/3 3/2 51/40 23/12 37/29 9/4 7/3 23/18 1/0 9/7 1/1 1/0 22/17 -1/4 0/1 35/27 0/1 48/37 0/1 1/12 13/10 1/4 30/23 1/2 2/3 17/13 3/7 1/2 21/16 3/4 4/3 1/2 2/3 19/14 23/28 72/53 84/101 5/6 125/92 5/6 53/39 5/6 61/73 34/25 16/19 27/32 15/11 13/15 7/8 11/8 15/16 18/13 1/1 25/18 37/36 7/5 1/1 11/10 31/22 23/20 24/17 7/6 34/29 17/12 29/24 27/19 41/33 5/4 91/64 5/4 64/45 5/4 94/75 37/26 5/4 47/33 5/4 19/15 10/7 13/10 4/3 3/2 1/0 14/9 2/1 1/0 53/34 11/4 39/25 3/1 19/6 64/41 7/2 4/1 25/16 1/0 61/39 3/1 19/6 36/23 15/4 4/1 11/7 5/1 1/0 19/12 1/0 8/5 -2/1 1/0 29/18 1/0 50/31 -5/2 -2/1 71/44 -5/4 21/13 -1/1 -3/4 76/47 -1/2 -8/17 55/34 -3/8 34/21 -1/6 0/1 13/8 1/0 57/35 -3/5 -1/2 44/27 -1/2 -2/5 31/19 -1/1 -1/2 18/11 -1/6 0/1 77/47 0/1 59/36 1/24 41/25 1/9 1/8 64/39 0/1 1/6 23/14 1/4 5/3 1/1 1/0 22/13 -1/8 0/1 39/23 0/1 56/33 0/1 1/24 17/10 1/8 46/27 0/1 1/4 29/17 3/13 1/4 41/24 5/16 53/31 3/7 1/2 12/7 0/1 1/2 55/32 5/16 43/25 1/3 5/14 31/18 5/12 50/29 2/5 1/2 69/40 3/8 19/11 1/3 1/2 26/15 10/21 1/2 59/34 1/2 33/19 1/2 15/29 40/23 1/2 6/11 7/4 5/8 23/13 3/4 13/17 16/9 4/5 5/6 57/32 3/4 41/23 5/6 1/1 66/37 4/5 5/6 25/14 3/4 9/5 9/10 1/1 20/11 1/1 31/17 1/1 35/34 11/6 13/12 24/13 22/19 7/6 13/7 1/1 5/4 28/15 7/6 6/5 15/8 5/4 17/9 15/11 11/8 2/1 2/1 1/0 17/8 1/0 15/7 -3/2 -1/1 43/20 1/0 28/13 -2/1 -3/2 41/19 -3/2 -1/1 13/6 -3/4 11/5 -1/1 1/0 31/14 -1/4 20/9 0/1 1/2 9/4 -1/4 7/3 1/2 3/5 40/17 2/3 11/16 33/14 3/4 26/11 1/2 2/3 45/19 1/2 1/1 109/46 1/2 64/27 1/2 2/3 19/8 3/4 31/13 5/7 3/4 74/31 13/18 8/11 117/49 5/7 3/4 160/67 8/11 19/26 43/18 3/4 55/23 3/4 31/41 12/5 4/5 5/6 41/17 11/13 17/20 29/12 7/8 17/7 13/14 1/1 22/9 1/1 27/11 1/1 23/22 5/2 5/4 23/9 1/1 3/2 18/7 16/11 3/2 67/26 3/2 49/19 3/2 47/31 31/12 31/20 13/5 13/8 5/3 47/18 41/24 34/13 40/23 7/4 21/8 29/16 50/19 41/22 28/15 79/30 15/8 29/11 19/10 21/11 37/14 47/24 8/3 2/1 9/4 27/10 1/0 46/17 22/9 5/2 19/7 11/4 3/1 68/25 3/1 117/43 3/1 61/20 49/18 25/8 30/11 10/3 7/2 71/26 1/0 41/15 3/1 7/2 52/19 9/2 14/3 11/4 1/0 36/13 4/1 1/0 25/9 11/4 3/1 39/14 13/4 14/5 4/1 9/2 45/16 1/0 31/11 5/1 1/0 17/6 1/0 37/13 17/2 9/1 20/7 14/1 1/0 23/8 1/0 3/1 -1/1 1/0 13/4 3/4 36/11 0/1 1/0 95/29 0/1 59/18 1/4 23/7 1/3 1/2 33/10 3/8 10/3 2/3 3/4 27/8 3/4 71/21 5/6 31/37 44/13 6/7 7/8 17/5 9/10 1/1 24/7 1/1 31/9 1/1 19/18 7/2 5/4 39/11 25/18 7/5 32/9 22/15 3/2 25/7 3/2 5/3 43/12 7/4 18/5 2/1 1/0 29/8 5/4 11/3 3/2 5/3 37/10 7/4 26/7 3/2 2/1 41/11 3/2 5/3 15/4 15/8 4/1 4/1 1/0 25/6 1/0 21/5 -15/1 1/0 17/4 1/0 47/11 -13/3 -17/4 30/7 -7/2 -10/3 13/3 -3/1 1/0 35/8 -11/4 22/5 -2/1 -7/4 9/2 -3/4 23/5 -1/4 -1/5 37/8 -1/16 14/3 0/1 1/6 33/7 1/2 3/5 19/4 1/0 24/5 0/1 1/2 5/1 1/2 1/1 26/5 1/1 47/9 1/1 19/18 21/4 9/8 16/3 4/3 3/2 27/5 1/1 3/2 11/2 7/4 28/5 2/1 5/2 17/3 1/1 1/0 23/4 5/4 29/5 13/8 5/3 6/1 2/1 5/2 19/3 13/3 9/2 51/8 39/8 32/5 11/2 6/1 13/2 1/0 33/5 21/2 11/1 20/3 18/1 1/0 27/4 1/0 7/1 -5/1 1/0 8/1 0/1 1/2 17/2 -1/4 9/1 1/2 1/1 10/1 2/1 1/0 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(173,81,818,383) (-1/2,-7/15) -> (4/19,11/52) Hyperbolic Matrix(755,351,114,53) (-7/15,-6/13) -> (33/5,20/3) Hyperbolic Matrix(403,185,342,157) (-6/13,-5/11) -> (20/17,13/11) Hyperbolic Matrix(397,179,224,101) (-5/11,-4/9) -> (23/13,16/9) Hyperbolic Matrix(609,269,-1664,-735) (-4/9,-15/34) -> (-11/30,-15/41) Hyperbolic Matrix(497,219,556,245) (-15/34,-11/25) -> (8/9,9/10) Hyperbolic Matrix(57,25,440,193) (-11/25,-7/16) -> (1/8,2/15) Hyperbolic Matrix(769,336,222,97) (-7/16,-17/39) -> (31/9,7/2) Hyperbolic Matrix(987,430,1430,623) (-17/39,-10/23) -> (20/29,9/13) Hyperbolic Matrix(1207,524,2080,903) (-10/23,-13/30) -> (29/50,18/31) Hyperbolic Matrix(545,236,1314,569) (-13/30,-3/7) -> (17/41,5/12) Hyperbolic Matrix(919,391,322,137) (-3/7,-14/33) -> (37/13,20/7) Hyperbolic Matrix(2257,956,1400,593) (-14/33,-11/26) -> (29/18,50/31) Hyperbolic Matrix(2525,1067,1072,453) (-11/26,-19/45) -> (40/17,33/14) Hyperbolic Matrix(695,293,1288,543) (-19/45,-8/19) -> (7/13,20/37) Hyperbolic Matrix(55,23,318,133) (-8/19,-5/12) -> (1/6,3/17) Hyperbolic Matrix(529,220,214,89) (-5/12,-17/41) -> (27/11,5/2) Hyperbolic Matrix(425,176,1374,569) (-17/41,-12/29) -> (4/13,9/29) Hyperbolic Matrix(1745,721,2534,1047) (-12/29,-19/46) -> (11/16,31/45) Hyperbolic Matrix(2587,1067,948,391) (-19/46,-7/17) -> (30/11,71/26) Hyperbolic Matrix(261,107,-944,-387) (-7/17,-9/22) -> (-5/18,-8/29) Hyperbolic Matrix(365,149,316,129) (-9/22,-2/5) -> (15/13,7/6) Hyperbolic Matrix(459,179,100,39) (-2/5,-7/18) -> (9/2,23/5) Hyperbolic Matrix(1063,413,610,237) (-7/18,-19/49) -> (40/23,7/4) Hyperbolic Matrix(1621,628,302,117) (-19/49,-12/31) -> (16/3,27/5) Hyperbolic Matrix(605,234,1316,509) (-12/31,-17/44) -> (11/24,6/13) Hyperbolic Matrix(301,116,-1108,-427) (-17/44,-5/13) -> (-3/11,-13/48) Hyperbolic Matrix(151,57,98,37) (-5/13,-3/8) -> (3/2,14/9) Hyperbolic Matrix(51,19,-298,-111) (-3/8,-10/27) -> (-3/17,-1/6) Hyperbolic Matrix(887,328,1966,727) (-10/27,-17/46) -> (9/20,14/31) Hyperbolic Matrix(1083,400,-3934,-1453) (-17/46,-7/19) -> (-19/69,-11/40) Hyperbolic Matrix(685,252,492,181) (-7/19,-11/30) -> (25/18,7/5) Hyperbolic Matrix(1027,375,1268,463) (-15/41,-4/11) -> (17/21,30/37) Hyperbolic Matrix(193,70,488,177) (-4/11,-13/36) -> (11/28,2/5) Hyperbolic Matrix(677,244,-2228,-803) (-13/36,-9/25) -> (-7/23,-17/56) Hyperbolic Matrix(1257,452,292,105) (-9/25,-14/39) -> (30/7,13/3) Hyperbolic Matrix(4933,1770,772,277) (-14/39,-33/92) -> (51/8,32/5) Hyperbolic Matrix(9569,3432,7542,2705) (-33/92,-19/53) -> (85/67,33/26) Hyperbolic Matrix(4057,1454,2514,901) (-19/53,-5/14) -> (71/44,21/13) Hyperbolic Matrix(239,85,194,69) (-5/14,-1/3) -> (16/13,5/4) Hyperbolic Matrix(137,43,360,113) (-1/3,-4/13) -> (11/29,8/21) Hyperbolic Matrix(761,233,356,109) (-4/13,-11/36) -> (17/8,15/7) Hyperbolic Matrix(269,82,1158,353) (-11/36,-7/23) -> (3/13,7/30) Hyperbolic Matrix(3117,946,2402,729) (-17/56,-10/33) -> (48/37,13/10) Hyperbolic Matrix(1599,484,446,135) (-10/33,-3/10) -> (43/12,18/5) Hyperbolic Matrix(131,39,178,53) (-3/10,-2/7) -> (11/15,3/4) Hyperbolic Matrix(649,183,344,97) (-2/7,-9/32) -> (15/8,17/9) Hyperbolic Matrix(303,85,-1294,-363) (-9/32,-7/25) -> (-4/17,-7/30) Hyperbolic Matrix(601,168,948,265) (-7/25,-5/18) -> (19/30,7/11) Hyperbolic Matrix(3339,920,940,259) (-8/29,-19/69) -> (39/11,32/9) Hyperbolic Matrix(1069,293,1536,421) (-11/40,-3/11) -> (16/23,39/56) Hyperbolic Matrix(3317,898,1954,529) (-13/48,-10/37) -> (56/33,17/10) Hyperbolic Matrix(1867,504,426,115) (-10/37,-7/26) -> (35/8,22/5) Hyperbolic Matrix(1951,524,592,159) (-7/26,-11/41) -> (23/7,33/10) Hyperbolic Matrix(3725,998,2288,613) (-11/41,-15/56) -> (13/8,57/35) Hyperbolic Matrix(3809,1020,6606,1769) (-15/56,-19/71) -> (49/85,15/26) Hyperbolic Matrix(10707,2863,4484,1199) (-19/71,-4/15) -> (117/49,160/67) Hyperbolic Matrix(43,11,82,21) (-4/15,-1/4) -> (1/2,7/13) Hyperbolic Matrix(851,201,326,77) (-1/4,-4/17) -> (13/5,47/18) Hyperbolic Matrix(2305,537,1292,301) (-7/30,-3/13) -> (66/37,25/14) Hyperbolic Matrix(199,45,482,109) (-3/13,-2/9) -> (7/17,12/29) Hyperbolic Matrix(199,43,236,51) (-2/9,-3/14) -> (5/6,11/13) Hyperbolic Matrix(353,75,80,17) (-3/14,-1/5) -> (22/5,9/2) Hyperbolic Matrix(113,21,382,71) (-1/5,-2/11) -> (5/17,8/27) Hyperbolic Matrix(715,127,152,27) (-2/11,-3/17) -> (14/3,33/7) Hyperbolic Matrix(517,82,662,105) (-1/6,-3/19) -> (7/9,25/32) Hyperbolic Matrix(1251,196,734,115) (-3/19,-2/13) -> (46/27,29/17) Hyperbolic Matrix(403,61,218,33) (-2/13,-1/7) -> (24/13,13/7) Hyperbolic Matrix(179,23,70,9) (-1/7,0/1) -> (23/9,18/7) Hyperbolic Matrix(393,-40,226,-23) (0/1,1/9) -> (33/19,40/23) Hyperbolic Matrix(471,-55,334,-39) (1/9,1/8) -> (31/22,24/17) Hyperbolic Matrix(327,-44,602,-81) (2/15,1/7) -> (19/35,6/11) Hyperbolic Matrix(81,-13,106,-17) (1/7,1/6) -> (3/4,10/13) Hyperbolic Matrix(473,-84,580,-103) (3/17,2/11) -> (22/27,9/11) Hyperbolic Matrix(523,-96,158,-29) (2/11,3/16) -> (33/10,10/3) Hyperbolic Matrix(939,-178,364,-69) (3/16,1/5) -> (49/19,31/12) Hyperbolic Matrix(281,-59,462,-97) (1/5,4/19) -> (3/5,14/23) Hyperbolic Matrix(2199,-466,1024,-217) (11/52,7/33) -> (15/7,43/20) Hyperbolic Matrix(1047,-223,1432,-305) (7/33,3/14) -> (19/26,30/41) Hyperbolic Matrix(1173,-254,254,-55) (3/14,5/23) -> (23/5,37/8) Hyperbolic Matrix(559,-122,866,-189) (5/23,2/9) -> (20/31,11/17) Hyperbolic Matrix(303,-68,254,-57) (2/9,5/22) -> (19/16,6/5) Hyperbolic Matrix(253,-58,554,-127) (5/22,3/13) -> (5/11,11/24) Hyperbolic Matrix(2311,-540,1408,-329) (7/30,4/17) -> (64/39,23/14) Hyperbolic Matrix(953,-226,350,-83) (4/17,1/4) -> (49/18,30/11) Hyperbolic Matrix(73,-19,50,-13) (1/4,3/11) -> (10/7,3/2) Hyperbolic Matrix(437,-120,244,-67) (3/11,5/18) -> (25/14,9/5) Hyperbolic Matrix(437,-122,1114,-311) (5/18,7/25) -> (9/23,11/28) Hyperbolic Matrix(727,-204,1258,-353) (7/25,2/7) -> (26/45,11/19) Hyperbolic Matrix(169,-49,576,-167) (2/7,7/24) -> (7/24,5/17) Parabolic Matrix(1841,-547,764,-227) (8/27,11/37) -> (12/5,41/17) Hyperbolic Matrix(1647,-491,956,-285) (11/37,3/10) -> (31/18,50/29) Hyperbolic Matrix(523,-158,96,-29) (3/10,7/23) -> (27/5,11/2) Hyperbolic Matrix(2185,-666,666,-203) (7/23,11/36) -> (59/18,23/7) Hyperbolic Matrix(877,-269,238,-73) (11/36,4/13) -> (11/3,37/10) Hyperbolic Matrix(1701,-530,1088,-339) (9/29,5/16) -> (25/16,61/39) Hyperbolic Matrix(661,-208,518,-163) (5/16,1/3) -> (37/29,23/18) Hyperbolic Matrix(161,-57,274,-97) (1/3,5/14) -> (7/12,10/17) Hyperbolic Matrix(685,-246,866,-311) (5/14,9/25) -> (15/19,19/24) Hyperbolic Matrix(365,-132,318,-115) (9/25,4/11) -> (8/7,15/13) Hyperbolic Matrix(523,-191,408,-149) (4/11,11/30) -> (23/18,9/7) Hyperbolic Matrix(953,-350,226,-83) (11/30,7/19) -> (21/5,17/4) Hyperbolic Matrix(317,-118,180,-67) (7/19,3/8) -> (7/4,23/13) Hyperbolic Matrix(1305,-494,494,-187) (3/8,11/29) -> (29/11,37/14) Hyperbolic Matrix(1661,-634,448,-171) (8/21,13/34) -> (37/10,26/7) Hyperbolic Matrix(649,-249,404,-155) (13/34,5/13) -> (8/5,29/18) Hyperbolic Matrix(2549,-984,1790,-691) (5/13,17/44) -> (37/26,47/33) Hyperbolic Matrix(2011,-778,716,-277) (17/44,12/31) -> (14/5,45/16) Hyperbolic Matrix(939,-364,178,-69) (12/31,7/18) -> (21/4,16/3) Hyperbolic Matrix(893,-348,1650,-643) (7/18,16/41) -> (20/37,13/24) Hyperbolic Matrix(3923,-1532,1160,-453) (16/41,9/23) -> (71/21,44/13) Hyperbolic Matrix(199,-81,484,-197) (2/5,9/22) -> (9/22,7/17) Parabolic Matrix(3813,-1580,2324,-963) (12/29,17/41) -> (41/25,64/39) Hyperbolic Matrix(283,-119,88,-37) (5/12,8/19) -> (3/1,13/4) Hyperbolic Matrix(3337,-1407,2616,-1103) (8/19,27/64) -> (51/40,37/29) Hyperbolic Matrix(11359,-4793,6932,-2925) (27/64,46/109) -> (77/47,59/36) Hyperbolic Matrix(5427,-2291,3314,-1399) (46/109,19/45) -> (18/11,77/47) Hyperbolic Matrix(3399,-1436,2180,-921) (19/45,11/26) -> (53/34,39/25) Hyperbolic Matrix(545,-231,696,-295) (11/26,3/7) -> (18/23,11/14) Hyperbolic Matrix(1125,-488,302,-131) (3/7,10/23) -> (26/7,41/11) Hyperbolic Matrix(821,-358,172,-75) (10/23,7/16) -> (19/4,24/5) Hyperbolic Matrix(193,-85,302,-133) (7/16,4/9) -> (7/11,9/14) Hyperbolic Matrix(557,-250,684,-307) (4/9,9/20) -> (13/16,22/27) Hyperbolic Matrix(1837,-830,768,-347) (14/31,5/11) -> (55/23,12/5) Hyperbolic Matrix(1037,-481,636,-295) (6/13,7/15) -> (44/27,31/19) Hyperbolic Matrix(589,-278,464,-219) (7/15,1/2) -> (33/26,47/37) Hyperbolic Matrix(2191,-1189,1406,-763) (13/24,19/35) -> (14/9,53/34) Hyperbolic Matrix(221,-121,400,-219) (6/11,11/20) -> (11/20,5/9) Parabolic Matrix(437,-244,120,-67) (5/9,9/16) -> (29/8,11/3) Hyperbolic Matrix(317,-180,118,-67) (9/16,4/7) -> (8/3,27/10) Hyperbolic Matrix(393,-226,40,-23) (4/7,19/33) -> (9/1,10/1) Hyperbolic Matrix(4013,-2312,6962,-4011) (19/33,34/59) -> (34/59,49/85) Parabolic Matrix(3439,-1985,2202,-1271) (15/26,41/71) -> (64/41,25/16) Hyperbolic Matrix(4303,-2485,2516,-1453) (41/71,26/45) -> (53/31,12/7) Hyperbolic Matrix(1433,-831,2040,-1183) (11/19,29/50) -> (7/10,26/37) Hyperbolic Matrix(1117,-649,432,-251) (18/31,7/12) -> (31/12,13/5) Hyperbolic Matrix(195,-116,116,-69) (10/17,3/5) -> (5/3,22/13) Hyperbolic Matrix(2311,-1408,540,-329) (14/23,25/41) -> (47/11,30/7) Hyperbolic Matrix(3157,-1926,1926,-1175) (25/41,11/18) -> (59/36,41/25) Hyperbolic Matrix(653,-400,462,-283) (11/18,8/13) -> (24/17,17/12) Hyperbolic Matrix(173,-107,76,-47) (8/13,5/8) -> (9/4,7/3) Hyperbolic Matrix(457,-288,722,-455) (5/8,12/19) -> (12/19,19/30) Parabolic Matrix(961,-619,340,-219) (9/14,20/31) -> (31/11,17/6) Hyperbolic Matrix(1109,-719,1618,-1049) (11/17,24/37) -> (13/19,24/35) Hyperbolic Matrix(2143,-1392,1578,-1025) (24/37,13/20) -> (19/14,72/53) Hyperbolic Matrix(639,-416,788,-513) (13/20,2/3) -> (30/37,13/16) Hyperbolic Matrix(499,-339,184,-125) (2/3,13/19) -> (46/17,19/7) Hyperbolic Matrix(1269,-871,220,-151) (24/35,11/16) -> (23/4,29/5) Hyperbolic Matrix(2405,-1657,1688,-1163) (31/45,20/29) -> (47/33,10/7) Hyperbolic Matrix(275,-191,36,-25) (9/13,16/23) -> (7/1,8/1) Hyperbolic Matrix(2467,-1719,1936,-1349) (39/56,23/33) -> (14/11,51/40) Hyperbolic Matrix(603,-421,328,-229) (23/33,7/10) -> (11/6,24/13) Hyperbolic Matrix(3769,-2649,2184,-1535) (26/37,45/64) -> (69/40,19/11) Hyperbolic Matrix(11449,-8051,3494,-2457) (45/64,64/91) -> (95/29,59/18) Hyperbolic Matrix(5841,-4109,1784,-1255) (64/91,19/27) -> (36/11,95/29) Hyperbolic Matrix(163,-115,146,-103) (19/27,12/17) -> (1/1,8/7) Hyperbolic Matrix(653,-462,400,-283) (12/17,5/7) -> (31/19,18/11) Hyperbolic Matrix(235,-169,324,-233) (5/7,13/18) -> (13/18,8/11) Parabolic Matrix(2797,-2040,1792,-1307) (8/11,27/37) -> (39/25,64/41) Hyperbolic Matrix(1667,-1217,752,-549) (27/37,19/26) -> (31/14,20/9) Hyperbolic Matrix(2059,-1507,608,-445) (30/41,11/15) -> (44/13,17/5) Hyperbolic Matrix(315,-244,244,-189) (10/13,7/9) -> (9/7,22/17) Hyperbolic Matrix(6439,-5032,2366,-1849) (25/32,43/55) -> (117/43,49/18) Hyperbolic Matrix(1305,-1021,556,-435) (43/55,18/23) -> (7/3,40/17) Hyperbolic Matrix(589,-464,278,-219) (11/14,26/33) -> (2/1,17/8) Hyperbolic Matrix(2133,-1681,2704,-2131) (26/33,41/52) -> (41/52,15/19) Parabolic Matrix(277,-220,34,-27) (19/24,4/5) -> (8/1,17/2) Hyperbolic Matrix(429,-347,68,-55) (4/5,17/21) -> (6/1,19/3) Hyperbolic Matrix(477,-392,578,-475) (9/11,14/17) -> (14/17,19/23) Parabolic Matrix(899,-743,340,-281) (19/23,5/6) -> (37/14,8/3) Hyperbolic Matrix(353,-299,268,-227) (11/13,17/20) -> (21/16,4/3) Hyperbolic Matrix(1725,-1469,1004,-855) (17/20,23/27) -> (12/7,55/32) Hyperbolic Matrix(1355,-1157,568,-485) (23/27,6/7) -> (31/13,74/31) Hyperbolic Matrix(365,-318,132,-115) (6/7,7/8) -> (11/4,36/13) Hyperbolic Matrix(1021,-902,592,-523) (7/8,8/9) -> (50/29,69/40) Hyperbolic Matrix(423,-382,196,-177) (9/10,1/1) -> (41/19,13/6) Hyperbolic Matrix(785,-921,456,-535) (7/6,20/17) -> (43/25,31/18) Hyperbolic Matrix(1149,-1361,710,-841) (13/11,19/16) -> (55/34,34/21) Hyperbolic Matrix(239,-289,196,-237) (6/5,17/14) -> (17/14,11/9) Parabolic Matrix(473,-580,84,-103) (11/9,16/13) -> (28/5,17/3) Hyperbolic Matrix(685,-866,246,-311) (5/4,19/15) -> (25/9,39/14) Hyperbolic Matrix(4265,-5408,3362,-4263) (19/15,52/41) -> (52/41,85/67) Parabolic Matrix(2089,-2655,764,-971) (47/37,14/11) -> (41/15,52/19) Hyperbolic Matrix(1891,-2450,1458,-1889) (22/17,35/27) -> (35/27,48/37) Parabolic Matrix(767,-999,162,-211) (13/10,30/23) -> (33/7,19/4) Hyperbolic Matrix(1883,-2458,1156,-1509) (30/23,17/13) -> (57/35,44/27) Hyperbolic Matrix(1087,-1425,402,-527) (17/13,21/16) -> (27/10,46/17) Hyperbolic Matrix(763,-1034,290,-393) (4/3,19/14) -> (21/8,50/19) Hyperbolic Matrix(11501,-15625,8464,-11499) (72/53,125/92) -> (125/92,53/39) Parabolic Matrix(2719,-3697,1682,-2287) (53/39,34/25) -> (21/13,76/47) Hyperbolic Matrix(447,-608,236,-321) (34/25,15/11) -> (17/9,2/1) Hyperbolic Matrix(197,-269,52,-71) (15/11,11/8) -> (15/4,4/1) Hyperbolic Matrix(469,-648,338,-467) (11/8,18/13) -> (18/13,25/18) Parabolic Matrix(503,-707,180,-253) (7/5,31/22) -> (39/14,14/5) Hyperbolic Matrix(807,-1145,308,-437) (17/12,27/19) -> (34/13,21/8) Hyperbolic Matrix(5825,-8281,4096,-5823) (27/19,91/64) -> (91/64,64/45) Parabolic Matrix(3365,-4787,1408,-2003) (64/45,37/26) -> (43/18,55/23) Hyperbolic Matrix(1269,-1985,218,-341) (61/39,36/23) -> (29/5,6/1) Hyperbolic Matrix(1003,-1571,362,-567) (36/23,11/7) -> (36/13,25/9) Hyperbolic Matrix(229,-361,144,-227) (11/7,19/12) -> (19/12,8/5) Parabolic Matrix(1933,-3119,546,-881) (50/31,71/44) -> (7/2,39/11) Hyperbolic Matrix(3683,-5957,1090,-1763) (76/47,55/34) -> (27/8,71/21) Hyperbolic Matrix(745,-1207,308,-499) (34/21,13/8) -> (29/12,17/7) Hyperbolic Matrix(339,-559,94,-155) (23/14,5/3) -> (18/5,29/8) Hyperbolic Matrix(1795,-3042,1058,-1793) (22/13,39/23) -> (39/23,56/33) Parabolic Matrix(791,-1347,138,-235) (17/10,46/27) -> (17/3,23/4) Hyperbolic Matrix(1615,-2757,618,-1055) (29/17,41/24) -> (47/18,34/13) Hyperbolic Matrix(2037,-3482,320,-547) (41/24,53/31) -> (19/3,51/8) Hyperbolic Matrix(2029,-3488,388,-667) (55/32,43/25) -> (47/9,21/4) Hyperbolic Matrix(727,-1258,204,-353) (19/11,26/15) -> (32/9,25/7) Hyperbolic Matrix(2007,-3481,1156,-2005) (26/15,59/34) -> (59/34,33/19) Parabolic Matrix(1951,-3473,714,-1271) (16/9,57/32) -> (71/26,41/15) Hyperbolic Matrix(2485,-4427,1048,-1867) (57/32,41/23) -> (64/27,19/8) Hyperbolic Matrix(2161,-3854,1002,-1787) (41/23,66/37) -> (28/13,41/19) Hyperbolic Matrix(441,-800,242,-439) (9/5,20/11) -> (20/11,31/17) Parabolic Matrix(713,-1301,154,-281) (31/17,11/6) -> (37/8,14/3) Hyperbolic Matrix(2273,-4238,952,-1775) (13/7,28/15) -> (74/31,117/49) Hyperbolic Matrix(551,-1031,194,-363) (28/15,15/8) -> (17/6,37/13) Hyperbolic Matrix(3759,-8084,1574,-3385) (43/20,28/13) -> (160/67,43/18) Hyperbolic Matrix(253,-554,58,-127) (13/6,11/5) -> (13/3,35/8) Hyperbolic Matrix(569,-1259,174,-385) (11/5,31/14) -> (13/4,36/11) Hyperbolic Matrix(211,-472,38,-85) (20/9,9/4) -> (11/2,28/5) Hyperbolic Matrix(591,-1394,92,-217) (33/14,26/11) -> (32/5,13/2) Hyperbolic Matrix(359,-849,74,-175) (26/11,45/19) -> (24/5,5/1) Hyperbolic Matrix(5015,-11881,2116,-5013) (45/19,109/46) -> (109/46,64/27) Parabolic Matrix(431,-1027,128,-305) (19/8,31/13) -> (10/3,27/8) Hyperbolic Matrix(853,-2060,200,-483) (41/17,29/12) -> (17/4,47/11) Hyperbolic Matrix(397,-968,162,-395) (17/7,22/9) -> (22/9,27/11) Parabolic Matrix(437,-1114,122,-311) (5/2,23/9) -> (25/7,43/12) Hyperbolic Matrix(1743,-4489,676,-1741) (18/7,67/26) -> (67/26,49/19) Parabolic Matrix(1237,-3257,188,-495) (50/19,79/30) -> (13/2,33/5) Hyperbolic Matrix(1681,-4427,614,-1617) (79/30,29/11) -> (52/19,11/4) Hyperbolic Matrix(3401,-9248,1250,-3399) (19/7,68/25) -> (68/25,117/43) Parabolic Matrix(171,-481,16,-45) (45/16,31/11) -> (10/1,1/0) Hyperbolic Matrix(185,-529,64,-183) (20/7,23/8) -> (23/8,3/1) Parabolic Matrix(337,-1152,98,-335) (17/5,24/7) -> (24/7,31/9) Parabolic Matrix(223,-832,26,-97) (41/11,15/4) -> (17/2,9/1) Hyperbolic Matrix(151,-625,36,-149) (4/1,25/6) -> (25/6,21/5) Parabolic Matrix(261,-1352,50,-259) (5/1,26/5) -> (26/5,47/9) Parabolic Matrix(109,-729,16,-107) (20/3,27/4) -> (27/4,7/1) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(173,81,818,383) -> Matrix(33,-7,52,-11) Matrix(755,351,114,53) -> Matrix(51,-13,4,-1) Matrix(403,185,342,157) -> Matrix(11,-3,4,-1) Matrix(397,179,224,101) -> Matrix(7,-1,8,-1) Matrix(609,269,-1664,-735) -> Matrix(53,-15,152,-43) Matrix(497,219,556,245) -> Matrix(17,-5,24,-7) Matrix(57,25,440,193) -> Matrix(17,-5,24,-7) Matrix(769,336,222,97) -> Matrix(31,-10,28,-9) Matrix(987,430,1430,623) -> Matrix(17,-6,20,-7) Matrix(1207,524,2080,903) -> Matrix(5,-2,8,-3) Matrix(545,236,1314,569) -> Matrix(13,-6,24,-11) Matrix(919,391,322,137) -> Matrix(51,-13,4,-1) Matrix(2257,956,1400,593) -> Matrix(7,-2,4,-1) Matrix(2525,1067,1072,453) -> Matrix(41,-11,56,-15) Matrix(695,293,1288,543) -> Matrix(25,-7,68,-19) Matrix(55,23,318,133) -> Matrix(3,-1,16,-5) Matrix(529,220,214,89) -> Matrix(31,-10,28,-9) Matrix(425,176,1374,569) -> Matrix(45,-16,76,-27) Matrix(1745,721,2534,1047) -> Matrix(7,-3,12,-5) Matrix(2587,1067,948,391) -> Matrix(29,-11,8,-3) Matrix(261,107,-944,-387) -> Matrix(3,1,8,3) Matrix(365,149,316,129) -> Matrix(3,-1,4,-1) Matrix(459,179,100,39) -> Matrix(3,-1,-8,3) Matrix(1063,413,610,237) -> Matrix(11,-5,20,-9) Matrix(1621,628,302,117) -> Matrix(5,-4,4,-3) Matrix(605,234,1316,509) -> Matrix(3,-4,4,-5) Matrix(301,116,-1108,-427) -> Matrix(11,-2,28,-5) Matrix(151,57,98,37) -> Matrix(11,-3,4,-1) Matrix(51,19,-298,-111) -> Matrix(3,-1,16,-5) Matrix(887,328,1966,727) -> Matrix(185,-58,252,-79) Matrix(1083,400,-3934,-1453) -> Matrix(183,-58,508,-161) Matrix(685,252,492,181) -> Matrix(67,-22,64,-21) Matrix(1027,375,1268,463) -> Matrix(85,-31,96,-35) Matrix(193,70,488,177) -> Matrix(1,0,0,1) Matrix(677,244,-2228,-803) -> Matrix(11,-2,28,-5) Matrix(1257,452,292,105) -> Matrix(9,-2,-4,1) Matrix(4933,1770,772,277) -> Matrix(83,-26,16,-5) Matrix(9569,3432,7542,2705) -> Matrix(79,-26,76,-25) Matrix(4057,1454,2514,901) -> Matrix(11,-4,-8,3) Matrix(239,85,194,69) -> Matrix(3,-1,4,-1) Matrix(137,43,360,113) -> Matrix(3,-1,16,-5) Matrix(761,233,356,109) -> Matrix(19,-7,-8,3) Matrix(269,82,1158,353) -> Matrix(17,-6,20,-7) Matrix(3117,946,2402,729) -> Matrix(5,-2,48,-19) Matrix(1599,484,446,135) -> Matrix(19,-8,12,-5) Matrix(131,39,178,53) -> Matrix(7,-3,12,-5) Matrix(649,183,344,97) -> Matrix(49,-15,36,-11) Matrix(303,85,-1294,-363) -> Matrix(47,-15,116,-37) Matrix(601,168,948,265) -> Matrix(79,-26,76,-25) Matrix(3339,920,940,259) -> Matrix(173,-62,120,-43) Matrix(1069,293,1536,421) -> Matrix(19,-7,-8,3) Matrix(3317,898,1954,529) -> Matrix(5,-2,88,-35) Matrix(1867,504,426,115) -> Matrix(29,-12,-12,5) Matrix(1951,524,592,159) -> Matrix(5,-2,8,-3) Matrix(3725,998,2288,613) -> Matrix(1,0,-4,1) Matrix(3809,1020,6606,1769) -> Matrix(7,-2,4,-1) Matrix(10707,2863,4484,1199) -> Matrix(55,-21,76,-29) Matrix(43,11,82,21) -> Matrix(3,-1,4,-1) Matrix(851,201,326,77) -> Matrix(75,-29,44,-17) Matrix(2305,537,1292,301) -> Matrix(27,-11,32,-13) Matrix(199,45,482,109) -> Matrix(19,-9,36,-17) Matrix(199,43,236,51) -> Matrix(1,1,0,1) Matrix(353,75,80,17) -> Matrix(5,-1,-4,1) Matrix(113,21,382,71) -> Matrix(19,-9,36,-17) Matrix(715,127,152,27) -> Matrix(1,-1,4,-3) Matrix(517,82,662,105) -> Matrix(17,-6,20,-7) Matrix(1251,196,734,115) -> Matrix(5,-2,28,-11) Matrix(403,61,218,33) -> Matrix(33,-13,28,-11) Matrix(179,23,70,9) -> Matrix(1,1,0,1) Matrix(393,-40,226,-23) -> Matrix(13,-6,24,-11) Matrix(471,-55,334,-39) -> Matrix(51,-29,44,-25) Matrix(327,-44,602,-81) -> Matrix(7,-4,16,-9) Matrix(81,-13,106,-17) -> Matrix(3,-1,4,-1) Matrix(473,-84,580,-103) -> Matrix(41,-14,44,-15) Matrix(523,-96,158,-29) -> Matrix(9,-4,16,-7) Matrix(939,-178,364,-69) -> Matrix(67,-32,44,-21) Matrix(281,-59,462,-97) -> Matrix(47,-29,60,-37) Matrix(2199,-466,1024,-217) -> Matrix(3,-2,8,-5) Matrix(1047,-223,1432,-305) -> Matrix(39,-25,64,-41) Matrix(1173,-254,254,-55) -> Matrix(3,-2,-28,19) Matrix(559,-122,866,-189) -> Matrix(31,-22,24,-17) Matrix(303,-68,254,-57) -> Matrix(5,-4,4,-3) Matrix(253,-58,554,-127) -> Matrix(25,-18,32,-23) Matrix(2311,-540,1408,-329) -> Matrix(5,-4,24,-19) Matrix(953,-226,350,-83) -> Matrix(25,-22,8,-7) Matrix(73,-19,50,-13) -> Matrix(1,1,0,1) Matrix(437,-120,244,-67) -> Matrix(17,-6,20,-7) Matrix(437,-122,1114,-311) -> Matrix(5,-2,8,-3) Matrix(727,-204,1258,-353) -> Matrix(5,-2,8,-3) Matrix(169,-49,576,-167) -> Matrix(35,-17,68,-33) Matrix(1841,-547,764,-227) -> Matrix(53,-29,64,-35) Matrix(1647,-491,956,-285) -> Matrix(13,-7,28,-15) Matrix(523,-158,96,-29) -> Matrix(17,-10,12,-7) Matrix(2185,-666,666,-203) -> Matrix(7,-4,16,-9) Matrix(877,-269,238,-73) -> Matrix(11,-7,8,-5) Matrix(1701,-530,1088,-339) -> Matrix(19,-12,8,-5) Matrix(661,-208,518,-163) -> Matrix(19,-12,8,-5) Matrix(161,-57,274,-97) -> Matrix(5,-7,8,-11) Matrix(685,-246,866,-311) -> Matrix(3,-10,4,-13) Matrix(365,-132,318,-115) -> Matrix(1,0,0,1) Matrix(523,-191,408,-149) -> Matrix(1,-1,0,1) Matrix(953,-350,226,-83) -> Matrix(1,-10,0,1) Matrix(317,-118,180,-67) -> Matrix(3,2,4,3) Matrix(1305,-494,494,-187) -> Matrix(39,-2,20,-1) Matrix(1661,-634,448,-171) -> Matrix(15,-2,8,-1) Matrix(649,-249,404,-155) -> Matrix(5,-1,-4,1) Matrix(2549,-984,1790,-691) -> Matrix(61,-14,48,-11) Matrix(2011,-778,716,-277) -> Matrix(23,-6,4,-1) Matrix(939,-364,178,-69) -> Matrix(19,-6,16,-5) Matrix(893,-348,1650,-643) -> Matrix(1,0,0,1) Matrix(3923,-1532,1160,-453) -> Matrix(37,-16,44,-19) Matrix(199,-81,484,-197) -> Matrix(27,-13,52,-25) Matrix(3813,-1580,2324,-963) -> Matrix(11,-6,68,-37) Matrix(283,-119,88,-37) -> Matrix(5,-3,12,-7) Matrix(3337,-1407,2616,-1103) -> Matrix(69,-41,32,-19) Matrix(11359,-4793,6932,-2925) -> Matrix(5,-3,212,-127) Matrix(5427,-2291,3314,-1399) -> Matrix(5,-3,-88,53) Matrix(3399,-1436,2180,-921) -> Matrix(79,-48,28,-17) Matrix(545,-231,696,-295) -> Matrix(1,-1,4,-3) Matrix(1125,-488,302,-131) -> Matrix(5,-4,4,-3) Matrix(821,-358,172,-75) -> Matrix(3,-2,8,-5) Matrix(193,-85,302,-133) -> Matrix(23,-15,20,-13) Matrix(557,-250,684,-307) -> Matrix(81,-58,88,-63) Matrix(1837,-830,768,-347) -> Matrix(73,-54,96,-71) Matrix(1037,-481,636,-295) -> Matrix(1,-1,4,-3) Matrix(589,-278,464,-219) -> Matrix(13,-12,12,-11) Matrix(2191,-1189,1406,-763) -> Matrix(31,-13,12,-5) Matrix(221,-121,400,-219) -> Matrix(19,-9,36,-17) Matrix(437,-244,120,-67) -> Matrix(17,-10,12,-7) Matrix(317,-180,118,-67) -> Matrix(19,-12,8,-5) Matrix(393,-226,40,-23) -> Matrix(5,-4,4,-3) Matrix(4013,-2312,6962,-4011) -> Matrix(13,-12,12,-11) Matrix(3439,-1985,2202,-1271) -> Matrix(1,3,0,1) Matrix(4303,-2485,2516,-1453) -> Matrix(1,-1,4,-3) Matrix(1433,-831,2040,-1183) -> Matrix(1,-1,4,-3) Matrix(1117,-649,432,-251) -> Matrix(13,-5,8,-3) Matrix(195,-116,116,-69) -> Matrix(3,-2,-4,3) Matrix(2311,-1408,540,-329) -> Matrix(91,-72,-24,19) Matrix(3157,-1926,1926,-1175) -> Matrix(5,-4,84,-67) Matrix(653,-400,462,-283) -> Matrix(71,-58,60,-49) Matrix(173,-107,76,-47) -> Matrix(1,-1,8,-7) Matrix(457,-288,722,-455) -> Matrix(49,-48,48,-47) Matrix(961,-619,340,-219) -> Matrix(23,-29,4,-5) Matrix(1109,-719,1618,-1049) -> Matrix(13,-19,24,-35) Matrix(2143,-1392,1578,-1025) -> Matrix(53,-82,64,-99) Matrix(639,-416,788,-513) -> Matrix(25,-42,28,-47) Matrix(499,-339,184,-125) -> Matrix(11,-3,4,-1) Matrix(1269,-871,220,-151) -> Matrix(11,-7,8,-5) Matrix(2405,-1657,1688,-1163) -> Matrix(51,-37,40,-29) Matrix(275,-191,36,-25) -> Matrix(1,-1,0,1) Matrix(2467,-1719,1936,-1349) -> Matrix(7,5,4,3) Matrix(603,-421,328,-229) -> Matrix(9,1,8,1) Matrix(3769,-2649,2184,-1535) -> Matrix(5,-3,12,-7) Matrix(11449,-8051,3494,-2457) -> Matrix(1,-1,8,-7) Matrix(5841,-4109,1784,-1255) -> Matrix(1,-1,0,1) Matrix(163,-115,146,-103) -> Matrix(1,1,0,1) Matrix(653,-462,400,-283) -> Matrix(1,0,-4,1) Matrix(235,-169,324,-233) -> Matrix(11,-5,20,-9) Matrix(2797,-2040,1792,-1307) -> Matrix(41,-24,12,-7) Matrix(1667,-1217,752,-549) -> Matrix(5,-3,-8,5) Matrix(2059,-1507,608,-445) -> Matrix(13,-9,16,-11) Matrix(315,-244,244,-189) -> Matrix(3,-2,-4,3) Matrix(6439,-5032,2366,-1849) -> Matrix(49,-46,16,-15) Matrix(1305,-1021,556,-435) -> Matrix(3,-1,4,-1) Matrix(589,-464,278,-219) -> Matrix(19,-14,-4,3) Matrix(2133,-1681,2704,-2131) -> Matrix(133,-99,176,-131) Matrix(277,-220,34,-27) -> Matrix(5,-4,4,-3) Matrix(429,-347,68,-55) -> Matrix(33,-29,8,-7) Matrix(477,-392,578,-475) -> Matrix(57,-56,56,-55) Matrix(899,-743,340,-281) -> Matrix(63,-65,32,-33) Matrix(353,-299,268,-227) -> Matrix(1,-1,0,1) Matrix(1725,-1469,1004,-855) -> Matrix(1,-3,4,-11) Matrix(1355,-1157,568,-485) -> Matrix(3,-1,4,-1) Matrix(365,-318,132,-115) -> Matrix(1,2,0,1) Matrix(1021,-902,592,-523) -> Matrix(3,-2,8,-5) Matrix(423,-382,196,-177) -> Matrix(1,-2,0,1) Matrix(785,-921,456,-535) -> Matrix(3,-5,8,-13) Matrix(1149,-1361,710,-841) -> Matrix(1,-1,-4,5) Matrix(239,-289,196,-237) -> Matrix(1,-3,0,1) Matrix(473,-580,84,-103) -> Matrix(1,2,0,1) Matrix(685,-866,246,-311) -> Matrix(13,-10,4,-3) Matrix(4265,-5408,3362,-4263) -> Matrix(41,-40,40,-39) Matrix(2089,-2655,764,-971) -> Matrix(15,-19,4,-5) Matrix(1891,-2450,1458,-1889) -> Matrix(1,0,16,1) Matrix(767,-999,162,-211) -> Matrix(3,-1,4,-1) Matrix(1883,-2458,1156,-1509) -> Matrix(1,0,-4,1) Matrix(1087,-1425,402,-527) -> Matrix(9,-7,4,-3) Matrix(763,-1034,290,-393) -> Matrix(67,-54,36,-29) Matrix(11501,-15625,8464,-11499) -> Matrix(871,-725,1044,-869) Matrix(2719,-3697,1682,-2287) -> Matrix(25,-21,-44,37) Matrix(447,-608,236,-321) -> Matrix(45,-38,32,-27) Matrix(197,-269,52,-71) -> Matrix(17,-15,8,-7) Matrix(469,-648,338,-467) -> Matrix(53,-52,52,-51) Matrix(503,-707,180,-253) -> Matrix(31,-35,8,-9) Matrix(807,-1145,308,-437) -> Matrix(71,-87,40,-49) Matrix(5825,-8281,4096,-5823) -> Matrix(541,-675,432,-539) Matrix(3365,-4787,1408,-2003) -> Matrix(101,-127,136,-171) Matrix(1269,-1985,218,-341) -> Matrix(7,-23,4,-13) Matrix(1003,-1571,362,-567) -> Matrix(1,-1,0,1) Matrix(229,-361,144,-227) -> Matrix(1,-7,0,1) Matrix(1933,-3119,546,-881) -> Matrix(11,15,8,11) Matrix(3683,-5957,1090,-1763) -> Matrix(23,9,28,11) Matrix(745,-1207,308,-499) -> Matrix(7,-1,8,-1) Matrix(339,-559,94,-155) -> Matrix(1,1,0,1) Matrix(1795,-3042,1058,-1793) -> Matrix(1,0,32,1) Matrix(791,-1347,138,-235) -> Matrix(3,-1,4,-1) Matrix(1615,-2757,618,-1055) -> Matrix(69,-19,40,-11) Matrix(2037,-3482,320,-547) -> Matrix(37,-14,8,-3) Matrix(2029,-3488,388,-667) -> Matrix(43,-14,40,-13) Matrix(727,-1258,204,-353) -> Matrix(19,-8,12,-5) Matrix(2007,-3481,1156,-2005) -> Matrix(51,-25,100,-49) Matrix(1951,-3473,714,-1271) -> Matrix(17,-13,4,-3) Matrix(2485,-4427,1048,-1867) -> Matrix(11,-9,16,-13) Matrix(2161,-3854,1002,-1787) -> Matrix(3,-2,-4,3) Matrix(441,-800,242,-439) -> Matrix(45,-44,44,-43) Matrix(713,-1301,154,-281) -> Matrix(1,-1,-28,29) Matrix(2273,-4238,952,-1775) -> Matrix(17,-22,24,-31) Matrix(551,-1031,194,-363) -> Matrix(31,-39,4,-5) Matrix(3759,-8084,1574,-3385) -> Matrix(3,14,4,19) Matrix(253,-554,58,-127) -> Matrix(1,-2,0,1) Matrix(569,-1259,174,-385) -> Matrix(1,1,0,1) Matrix(211,-472,38,-85) -> Matrix(1,2,0,1) Matrix(591,-1394,92,-217) -> Matrix(21,-16,4,-3) Matrix(359,-849,74,-175) -> Matrix(1,-1,4,-3) Matrix(5015,-11881,2116,-5013) -> Matrix(3,-1,4,-1) Matrix(431,-1027,128,-305) -> Matrix(13,-9,16,-11) Matrix(853,-2060,200,-483) -> Matrix(39,-34,-8,7) Matrix(397,-968,162,-395) -> Matrix(37,-36,36,-35) Matrix(437,-1114,122,-311) -> Matrix(13,-18,8,-11) Matrix(1743,-4489,676,-1741) -> Matrix(127,-189,84,-125) Matrix(1237,-3257,188,-495) -> Matrix(73,-137,8,-15) Matrix(1681,-4427,614,-1617) -> Matrix(41,-77,8,-15) Matrix(3401,-9248,1250,-3399) -> Matrix(73,-216,24,-71) Matrix(171,-481,16,-45) -> Matrix(1,-3,0,1) Matrix(185,-529,64,-183) -> Matrix(1,-15,0,1) Matrix(337,-1152,98,-335) -> Matrix(29,-28,28,-27) Matrix(223,-832,26,-97) -> Matrix(1,-2,4,-7) Matrix(151,-625,36,-149) -> Matrix(1,-19,0,1) Matrix(261,-1352,50,-259) -> Matrix(21,-20,20,-19) Matrix(109,-729,16,-107) -> Matrix(1,-23,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 120 ----------------------------------------------------------------------- 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 2 1 0/1 (0/1,1/2) 0 31 1/7 (3/4,1/1) 0 31 1/6 1/0 1 31 1/5 (1/2,5/9) 0 31 4/19 (18/29,5/8) 0 31 3/14 13/20 1 31 2/9 (2/3,3/4) 0 31 5/22 5/8 1 31 3/13 (3/4,7/9) 0 31 4/17 (4/5,5/6) 0 31 1/4 1/0 1 31 3/11 (3/10,1/3) 0 31 5/18 3/8 1 31 7/25 (1/2,1/1) 0 31 2/7 (4/9,1/2) 0 31 7/24 1/2 17 1 3/10 9/16 1 31 7/23 (1/2,3/5) 0 31 11/36 7/12 1 31 4/13 (1/2,4/7) 0 31 5/16 5/8 1 31 1/3 (3/4,1/1) 0 31 5/14 7/4 1 31 4/11 (2/1,1/0) 0 31 3/8 -1/4 1 31 5/13 (1/4,1/3) 0 31 17/44 1/4 1 31 12/31 (2/7,3/10) 0 31 7/18 3/8 1 31 9/23 (1/2,3/5) 0 31 2/5 (2/5,1/2) 0 31 9/22 1/2 13 1 5/12 9/16 1 31 8/19 (7/12,10/17) 0 31 11/26 5/8 1 31 3/7 (1/2,3/5) 0 31 10/23 (1/2,2/3) 0 31 7/16 5/8 1 31 4/9 (2/3,11/16) 0 31 5/11 (3/4,13/17) 0 31 6/13 (4/5,5/6) 0 31 7/15 (5/6,11/13) 0 31 1/2 1/0 1 31 11/20 1/2 9 1 5/9 (1/2,5/9) 0 31 9/16 5/8 1 31 4/7 (2/3,3/4) 0 31 19/33 (5/6,1/1) 0 31 34/59 1/1 6 1 15/26 1/0 1 31 26/45 (2/5,1/2) 0 31 11/19 (1/2,3/5) 0 31 18/31 (0/1,1/0) 0 31 7/12 7/12 1 31 10/17 (13/20,2/3) 0 31 3/5 (5/7,3/4) 0 31 14/23 (11/14,26/33) 0 31 25/41 (31/39,35/44) 0 31 11/18 29/36 1 31 8/13 (5/6,16/19) 0 31 5/8 11/12 1 31 12/19 1/1 24 1 7/11 (1/1,13/12) 0 31 9/14 5/4 1 31 11/17 (11/8,7/5) 0 31 2/3 (0/1,1/0) 0 31 13/19 (5/11,1/2) 0 31 11/16 3/4 1 31 9/13 (1/1,3/2) 0 31 16/23 (-4/1,1/0) 0 31 7/10 1/4 1 31 19/27 (1/1,1/0) 0 31 12/17 (-1/2,0/1) 0 31 5/7 (1/3,1/2) 0 31 13/18 1/2 5 1 3/4 3/4 1 31 10/13 (5/8,2/3) 0 31 7/9 (5/7,3/4) 0 31 18/23 (1/2,2/3) 0 31 11/14 3/4 1 31 41/52 3/4 11 1 15/19 (3/4,13/17) 0 31 4/5 (4/5,5/6) 0 31 9/11 (19/20,1/1) 0 31 14/17 1/1 28 1 5/6 9/8 1 31 6/7 (2/1,1/0) 0 31 7/8 1/0 1 31 1/1 (1/2,1/1) 0 31 7/6 5/4 1 31 6/5 (2/1,1/0) 0 31 17/14 1/0 3 1 5/4 1/0 1 31 19/15 (7/8,1/1) 0 31 52/41 1/1 20 1 33/26 13/12 1 31 47/37 (7/6,13/11) 0 31 14/11 (4/3,3/2) 0 31 37/29 (9/4,7/3) 0 31 23/18 1/0 1 31 9/7 (1/1,1/0) 0 31 22/17 (-1/4,0/1) 0 31 35/27 0/1 8 1 13/10 1/4 1 31 17/13 (3/7,1/2) 0 31 4/3 (1/2,2/3) 0 31 19/14 23/28 1 31 125/92 5/6 29 1 53/39 (5/6,61/73) 0 31 34/25 (16/19,27/32) 0 31 15/11 (13/15,7/8) 0 31 11/8 15/16 1 31 18/13 1/1 26 1 7/5 (1/1,11/10) 0 31 31/22 23/20 1 31 24/17 (7/6,34/29) 0 31 17/12 29/24 1 31 27/19 (41/33,5/4) 0 31 91/64 5/4 27 1 37/26 5/4 1 31 10/7 (13/10,4/3) 0 31 3/2 1/0 1 31 19/12 1/0 7 1 8/5 (-2/1,1/0) 0 31 29/18 1/0 1 31 21/13 (-1/1,-3/4) 0 31 76/47 (-1/2,-8/17) 0 31 55/34 -3/8 1 31 34/21 (-1/6,0/1) 0 31 13/8 1/0 1 31 44/27 (-1/2,-2/5) 0 31 31/19 (-1/1,-1/2) 0 31 18/11 (-1/6,0/1) 0 31 77/47 0/1 30 1 59/36 1/24 1 31 41/25 (1/9,1/8) 0 31 23/14 1/4 1 31 5/3 (1/1,1/0) 0 31 22/13 (-1/8,0/1) 0 31 39/23 0/1 16 1 17/10 1/8 1 31 29/17 (3/13,1/4) 0 31 12/7 (0/1,1/2) 0 31 31/18 5/12 1 31 19/11 (1/3,1/2) 0 31 26/15 (10/21,1/2) 0 31 59/34 1/2 25 1 7/4 5/8 1 31 9/5 (9/10,1/1) 0 31 20/11 1/1 22 1 11/6 13/12 1 31 13/7 (1/1,5/4) 0 31 15/8 5/4 1 31 2/1 (2/1,1/0) 0 31 15/7 (-3/2,-1/1) 0 31 13/6 -3/4 1 31 11/5 (-1/1,1/0) 0 31 20/9 (0/1,1/2) 0 31 9/4 -1/4 1 31 7/3 (1/2,3/5) 0 31 26/11 (1/2,2/3) 0 31 45/19 (1/2,1/1) 0 31 109/46 1/2 1 1 19/8 3/4 1 31 31/13 (5/7,3/4) 0 31 43/18 3/4 1 31 12/5 (4/5,5/6) 0 31 29/12 7/8 1 31 17/7 (13/14,1/1) 0 31 22/9 1/1 18 1 5/2 5/4 1 31 18/7 (16/11,3/2) 0 31 67/26 3/2 21 1 31/12 31/20 1 31 13/5 (13/8,5/3) 0 31 34/13 (40/23,7/4) 0 31 21/8 29/16 1 31 50/19 (41/22,28/15) 0 31 29/11 (19/10,21/11) 0 31 8/3 (2/1,9/4) 0 31 27/10 1/0 1 31 46/17 (22/9,5/2) 0 31 19/7 (11/4,3/1) 0 31 68/25 3/1 12 1 49/18 25/8 1 31 30/11 (10/3,7/2) 0 31 41/15 (3/1,7/2) 0 31 11/4 1/0 1 31 25/9 (11/4,3/1) 0 31 39/14 13/4 1 31 14/5 (4/1,9/2) 0 31 45/16 1/0 1 31 31/11 (5/1,1/0) 0 31 17/6 1/0 1 31 23/8 1/0 15 1 3/1 (-1/1,1/0) 0 31 13/4 3/4 1 31 36/11 (0/1,1/0) 0 31 95/29 0/1 4 1 59/18 1/4 1 31 23/7 (1/3,1/2) 0 31 10/3 (2/3,3/4) 0 31 27/8 3/4 1 31 17/5 (9/10,1/1) 0 31 24/7 1/1 14 1 7/2 5/4 1 31 32/9 (22/15,3/2) 0 31 25/7 (3/2,5/3) 0 31 18/5 (2/1,1/0) 0 31 29/8 5/4 1 31 11/3 (3/2,5/3) 0 31 37/10 7/4 1 31 26/7 (3/2,2/1) 0 31 41/11 (3/2,5/3) 0 31 15/4 15/8 1 31 4/1 (4/1,1/0) 0 31 25/6 1/0 19 1 17/4 1/0 1 31 13/3 (-3/1,1/0) 0 31 9/2 -3/4 1 31 14/3 (0/1,1/6) 0 31 19/4 1/0 1 31 24/5 (0/1,1/2) 0 31 5/1 (1/2,1/1) 0 31 26/5 1/1 10 1 21/4 9/8 1 31 16/3 (4/3,3/2) 0 31 11/2 7/4 1 31 17/3 (1/1,1/0) 0 31 23/4 5/4 1 31 6/1 (2/1,5/2) 0 31 19/3 (13/3,9/2) 0 31 32/5 (11/2,6/1) 0 31 13/2 1/0 1 31 27/4 1/0 23 1 7/1 (-5/1,1/0) 0 31 8/1 (0/1,1/2) 0 31 17/2 -1/4 1 31 9/1 (1/2,1/1) 0 31 10/1 (2/1,1/0) 0 31 1/0 1/0 1 31 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(193,-25,54,-7) (0/1,1/7) -> (25/7,18/5) Glide Reflection Matrix(81,-13,106,-17) (1/7,1/6) -> (3/4,10/13) Hyperbolic Matrix(133,-23,52,-9) (1/6,1/5) -> (5/2,18/7) Glide Reflection Matrix(281,-59,462,-97) (1/5,4/19) -> (3/5,14/23) Hyperbolic Matrix(357,-76,512,-109) (4/19,3/14) -> (16/23,7/10) Glide Reflection Matrix(281,-61,152,-33) (3/14,2/9) -> (11/6,13/7) Glide Reflection Matrix(581,-131,102,-23) (2/9,5/22) -> (17/3,23/4) Glide Reflection Matrix(859,-196,504,-115) (5/22,3/13) -> (17/10,29/17) Glide Reflection Matrix(353,-82,452,-105) (3/13,4/17) -> (7/9,18/23) Glide Reflection Matrix(953,-226,350,-83) (4/17,1/4) -> (49/18,30/11) Hyperbolic Matrix(73,-19,50,-13) (1/4,3/11) -> (10/7,3/2) Hyperbolic Matrix(461,-127,98,-27) (3/11,5/18) -> (14/3,19/4) Glide Reflection Matrix(631,-176,484,-135) (5/18,7/25) -> (13/10,17/13) Glide Reflection Matrix(727,-204,1258,-353) (7/25,2/7) -> (26/45,11/19) Hyperbolic Matrix(97,-28,336,-97) (2/7,7/24) -> (2/7,7/24) Reflection Matrix(71,-21,240,-71) (7/24,3/10) -> (7/24,3/10) Reflection Matrix(903,-274,524,-159) (3/10,7/23) -> (31/18,19/11) Glide Reflection Matrix(2185,-666,666,-203) (7/23,11/36) -> (59/18,23/7) Hyperbolic Matrix(877,-269,238,-73) (11/36,4/13) -> (11/3,37/10) Hyperbolic Matrix(569,-176,236,-73) (4/13,5/16) -> (12/5,29/12) Glide Reflection Matrix(661,-208,518,-163) (5/16,1/3) -> (37/29,23/18) Hyperbolic Matrix(161,-57,274,-97) (1/3,5/14) -> (7/12,10/17) Hyperbolic Matrix(297,-107,136,-49) (5/14,4/11) -> (13/6,11/5) Glide Reflection Matrix(203,-75,46,-17) (4/11,3/8) -> (13/3,9/2) Glide Reflection Matrix(113,-43,134,-51) (3/8,5/13) -> (5/6,6/7) Glide Reflection Matrix(1923,-742,806,-311) (5/13,17/44) -> (31/13,43/18) Glide Reflection Matrix(2011,-778,716,-277) (17/44,12/31) -> (14/5,45/16) Hyperbolic Matrix(939,-364,178,-69) (12/31,7/18) -> (21/4,16/3) Hyperbolic Matrix(1449,-565,536,-209) (7/18,9/23) -> (27/10,46/17) Glide Reflection Matrix(177,-70,134,-53) (9/23,2/5) -> (17/13,4/3) Glide Reflection Matrix(89,-36,220,-89) (2/5,9/22) -> (2/5,9/22) Reflection Matrix(109,-45,264,-109) (9/22,5/12) -> (9/22,5/12) Reflection Matrix(283,-119,88,-37) (5/12,8/19) -> (3/1,13/4) Hyperbolic Matrix(1503,-635,916,-387) (8/19,11/26) -> (41/25,23/14) Glide Reflection Matrix(545,-231,696,-295) (11/26,3/7) -> (18/23,11/14) Hyperbolic Matrix(1125,-488,302,-131) (3/7,10/23) -> (26/7,41/11) Hyperbolic Matrix(821,-358,172,-75) (10/23,7/16) -> (19/4,24/5) Hyperbolic Matrix(193,-85,302,-133) (7/16,4/9) -> (7/11,9/14) Hyperbolic Matrix(449,-201,172,-77) (4/9,5/11) -> (13/5,34/13) Glide Reflection Matrix(509,-234,298,-137) (5/11,6/13) -> (29/17,12/7) Glide Reflection Matrix(1037,-481,636,-295) (6/13,7/15) -> (44/27,31/19) Hyperbolic Matrix(589,-278,464,-219) (7/15,1/2) -> (33/26,47/37) Hyperbolic Matrix(21,-11,40,-21) (1/2,11/20) -> (1/2,11/20) Reflection Matrix(199,-110,360,-199) (11/20,5/9) -> (11/20,5/9) Reflection Matrix(437,-244,120,-67) (5/9,9/16) -> (29/8,11/3) Hyperbolic Matrix(317,-180,118,-67) (9/16,4/7) -> (8/3,27/10) Hyperbolic Matrix(393,-226,40,-23) (4/7,19/33) -> (9/1,10/1) Hyperbolic Matrix(2243,-1292,3894,-2243) (19/33,34/59) -> (19/33,34/59) Reflection Matrix(1769,-1020,3068,-1769) (34/59,15/26) -> (34/59,15/26) Reflection Matrix(1729,-998,1062,-613) (15/26,26/45) -> (13/8,44/27) Glide Reflection Matrix(903,-524,274,-159) (11/19,18/31) -> (23/7,10/3) Glide Reflection Matrix(1117,-649,432,-251) (18/31,7/12) -> (31/12,13/5) Hyperbolic Matrix(195,-116,116,-69) (10/17,3/5) -> (5/3,22/13) Hyperbolic Matrix(1425,-868,1118,-681) (14/23,25/41) -> (14/11,37/29) Glide Reflection Matrix(3157,-1926,1926,-1175) (25/41,11/18) -> (59/36,41/25) Hyperbolic Matrix(653,-400,462,-283) (11/18,8/13) -> (24/17,17/12) Hyperbolic Matrix(173,-107,76,-47) (8/13,5/8) -> (9/4,7/3) Hyperbolic Matrix(191,-120,304,-191) (5/8,12/19) -> (5/8,12/19) Reflection Matrix(265,-168,418,-265) (12/19,7/11) -> (12/19,7/11) Reflection Matrix(283,-183,150,-97) (9/14,11/17) -> (15/8,2/1) Glide Reflection Matrix(357,-233,262,-171) (11/17,2/3) -> (34/25,15/11) Glide Reflection Matrix(499,-339,184,-125) (2/3,13/19) -> (46/17,19/7) Hyperbolic Matrix(2261,-1551,1398,-959) (13/19,11/16) -> (76/47,55/34) Glide Reflection Matrix(623,-430,184,-127) (11/16,9/13) -> (27/8,17/5) Glide Reflection Matrix(275,-191,36,-25) (9/13,16/23) -> (7/1,8/1) Hyperbolic Matrix(711,-499,218,-153) (7/10,19/27) -> (13/4,36/11) Glide Reflection Matrix(727,-512,328,-231) (19/27,12/17) -> (11/5,20/9) Glide Reflection Matrix(653,-462,400,-283) (12/17,5/7) -> (31/19,18/11) Hyperbolic Matrix(181,-130,252,-181) (5/7,13/18) -> (5/7,13/18) Reflection Matrix(53,-39,72,-53) (13/18,3/4) -> (13/18,3/4) Reflection Matrix(315,-244,244,-189) (10/13,7/9) -> (9/7,22/17) Hyperbolic Matrix(573,-451,728,-573) (11/14,41/52) -> (11/14,41/52) Reflection Matrix(1559,-1230,1976,-1559) (41/52,15/19) -> (41/52,15/19) Reflection Matrix(295,-233,138,-109) (15/19,4/5) -> (2/1,15/7) Glide Reflection Matrix(359,-293,136,-111) (4/5,9/11) -> (29/11,8/3) Glide Reflection Matrix(307,-252,374,-307) (9/11,14/17) -> (9/11,14/17) Reflection Matrix(169,-140,204,-169) (14/17,5/6) -> (14/17,5/6) Reflection Matrix(267,-230,166,-143) (6/7,7/8) -> (8/5,29/18) Glide Reflection Matrix(245,-219,66,-59) (7/8,1/1) -> (37/10,26/7) Glide Reflection Matrix(129,-149,58,-67) (1/1,7/6) -> (20/9,9/4) Glide Reflection Matrix(157,-185,28,-33) (7/6,6/5) -> (11/2,17/3) Glide Reflection Matrix(169,-204,140,-169) (6/5,17/14) -> (6/5,17/14) Reflection Matrix(69,-85,56,-69) (17/14,5/4) -> (17/14,5/4) Reflection Matrix(685,-866,246,-311) (5/4,19/15) -> (25/9,39/14) Hyperbolic Matrix(1559,-1976,1230,-1559) (19/15,52/41) -> (19/15,52/41) Reflection Matrix(2705,-3432,2132,-2705) (52/41,33/26) -> (52/41,33/26) Reflection Matrix(1393,-1770,218,-277) (47/37,14/11) -> (19/3,32/5) Glide Reflection Matrix(353,-452,82,-105) (23/18,9/7) -> (17/4,13/3) Glide Reflection Matrix(1189,-1540,918,-1189) (22/17,35/27) -> (22/17,35/27) Reflection Matrix(701,-910,540,-701) (35/27,13/10) -> (35/27,13/10) Reflection Matrix(763,-1034,290,-393) (4/3,19/14) -> (21/8,50/19) Hyperbolic Matrix(1749,-2375,1288,-1749) (19/14,125/92) -> (19/14,125/92) Reflection Matrix(9751,-13250,7176,-9751) (125/92,53/39) -> (125/92,53/39) Reflection Matrix(2719,-3697,1682,-2287) (53/39,34/25) -> (21/13,76/47) Hyperbolic Matrix(197,-269,52,-71) (15/11,11/8) -> (15/4,4/1) Hyperbolic Matrix(287,-396,208,-287) (11/8,18/13) -> (11/8,18/13) Reflection Matrix(181,-252,130,-181) (18/13,7/5) -> (18/13,7/5) Reflection Matrix(503,-707,180,-253) (7/5,31/22) -> (39/14,14/5) Hyperbolic Matrix(823,-1160,232,-327) (31/22,24/17) -> (7/2,32/9) Glide Reflection Matrix(807,-1145,308,-437) (17/12,27/19) -> (34/13,21/8) Hyperbolic Matrix(3457,-4914,2432,-3457) (27/19,91/64) -> (27/19,91/64) Reflection Matrix(2367,-3367,1664,-2367) (91/64,37/26) -> (91/64,37/26) Reflection Matrix(613,-874,256,-365) (37/26,10/7) -> (43/18,12/5) Glide Reflection Matrix(37,-57,24,-37) (3/2,19/12) -> (3/2,19/12) Reflection Matrix(191,-304,120,-191) (19/12,8/5) -> (19/12,8/5) Reflection Matrix(593,-956,214,-345) (29/18,21/13) -> (11/4,25/9) Glide Reflection Matrix(687,-1112,118,-191) (55/34,34/21) -> (23/4,6/1) Glide Reflection Matrix(745,-1207,308,-499) (34/21,13/8) -> (29/12,17/7) Hyperbolic Matrix(1693,-2772,1034,-1693) (18/11,77/47) -> (18/11,77/47) Reflection Matrix(5545,-9086,3384,-5545) (77/47,59/36) -> (77/47,59/36) Reflection Matrix(339,-559,94,-155) (23/14,5/3) -> (18/5,29/8) Hyperbolic Matrix(1013,-1716,598,-1013) (22/13,39/23) -> (22/13,39/23) Reflection Matrix(781,-1326,460,-781) (39/23,17/10) -> (39/23,17/10) Reflection Matrix(365,-628,68,-117) (12/7,31/18) -> (16/3,11/2) Glide Reflection Matrix(727,-1258,204,-353) (19/11,26/15) -> (32/9,25/7) Hyperbolic Matrix(1769,-3068,1020,-1769) (26/15,59/34) -> (26/15,59/34) Reflection Matrix(237,-413,136,-237) (59/34,7/4) -> (59/34,7/4) Reflection Matrix(101,-179,22,-39) (7/4,9/5) -> (9/2,14/3) Glide Reflection Matrix(199,-360,110,-199) (9/5,20/11) -> (9/5,20/11) Reflection Matrix(241,-440,132,-241) (20/11,11/6) -> (20/11,11/6) Reflection Matrix(367,-686,130,-243) (13/7,15/8) -> (31/11,17/6) Glide Reflection Matrix(167,-359,20,-43) (15/7,13/6) -> (8/1,17/2) Glide Reflection Matrix(453,-1067,166,-391) (7/3,26/11) -> (30/11,41/15) Glide Reflection Matrix(359,-849,74,-175) (26/11,45/19) -> (24/5,5/1) Hyperbolic Matrix(4141,-9810,1748,-4141) (45/19,109/46) -> (45/19,109/46) Reflection Matrix(873,-2071,368,-873) (109/46,19/8) -> (109/46,19/8) Reflection Matrix(431,-1027,128,-305) (19/8,31/13) -> (10/3,27/8) Hyperbolic Matrix(307,-748,126,-307) (17/7,22/9) -> (17/7,22/9) Reflection Matrix(89,-220,36,-89) (22/9,5/2) -> (22/9,5/2) Reflection Matrix(937,-2412,364,-937) (18/7,67/26) -> (18/7,67/26) Reflection Matrix(805,-2077,312,-805) (67/26,31/12) -> (67/26,31/12) Reflection Matrix(427,-1124,68,-179) (50/19,29/11) -> (6/1,19/3) Glide Reflection Matrix(951,-2584,350,-951) (19/7,68/25) -> (19/7,68/25) Reflection Matrix(2449,-6664,900,-2449) (68/25,49/18) -> (68/25,49/18) Reflection Matrix(323,-885,50,-137) (41/15,11/4) -> (32/5,13/2) Glide Reflection Matrix(171,-481,16,-45) (45/16,31/11) -> (10/1,1/0) Hyperbolic Matrix(137,-391,48,-137) (17/6,23/8) -> (17/6,23/8) Reflection Matrix(47,-138,16,-47) (23/8,3/1) -> (23/8,3/1) Reflection Matrix(2089,-6840,638,-2089) (36/11,95/29) -> (36/11,95/29) Reflection Matrix(3421,-11210,1044,-3421) (95/29,59/18) -> (95/29,59/18) Reflection Matrix(239,-816,70,-239) (17/5,24/7) -> (17/5,24/7) Reflection Matrix(97,-336,28,-97) (24/7,7/2) -> (24/7,7/2) Reflection Matrix(223,-832,26,-97) (41/11,15/4) -> (17/2,9/1) Hyperbolic Matrix(49,-200,12,-49) (4/1,25/6) -> (4/1,25/6) Reflection Matrix(101,-425,24,-101) (25/6,17/4) -> (25/6,17/4) Reflection Matrix(51,-260,10,-51) (5/1,26/5) -> (5/1,26/5) Reflection Matrix(209,-1092,40,-209) (26/5,21/4) -> (26/5,21/4) Reflection Matrix(53,-351,8,-53) (13/2,27/4) -> (13/2,27/4) Reflection Matrix(55,-378,8,-55) (27/4,7/1) -> (27/4,7/1) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,0,-1) (-1/1,1/0) -> (0/1,1/0) Matrix(-1,0,2,1) -> Matrix(1,0,4,-1) (-1/1,0/1) -> (0/1,1/2) Matrix(193,-25,54,-7) -> Matrix(7,-5,4,-3) Matrix(81,-13,106,-17) -> Matrix(3,-1,4,-1) 1/2 Matrix(133,-23,52,-9) -> Matrix(5,-1,4,-1) Matrix(281,-59,462,-97) -> Matrix(47,-29,60,-37) Matrix(357,-76,512,-109) -> Matrix(3,-2,-8,5) Matrix(281,-61,152,-33) -> Matrix(19,-13,16,-11) Matrix(581,-131,102,-23) -> Matrix(7,-5,4,-3) Matrix(859,-196,504,-115) -> Matrix(3,-2,16,-11) Matrix(353,-82,452,-105) -> Matrix(7,-6,8,-7) *** -> (3/4,1/1) Matrix(953,-226,350,-83) -> Matrix(25,-22,8,-7) Matrix(73,-19,50,-13) -> Matrix(1,1,0,1) 1/0 Matrix(461,-127,98,-27) -> Matrix(3,-1,8,-3) *** -> (1/4,1/2) Matrix(631,-176,484,-135) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(727,-204,1258,-353) -> Matrix(5,-2,8,-3) 1/2 Matrix(97,-28,336,-97) -> Matrix(17,-8,36,-17) (2/7,7/24) -> (4/9,1/2) Matrix(71,-21,240,-71) -> Matrix(17,-9,32,-17) (7/24,3/10) -> (1/2,9/16) Matrix(903,-274,524,-159) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(2185,-666,666,-203) -> Matrix(7,-4,16,-9) 1/2 Matrix(877,-269,238,-73) -> Matrix(11,-7,8,-5) Matrix(569,-176,236,-73) -> Matrix(27,-16,32,-19) Matrix(661,-208,518,-163) -> Matrix(19,-12,8,-5) Matrix(161,-57,274,-97) -> Matrix(5,-7,8,-11) Matrix(297,-107,136,-49) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(203,-75,46,-17) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(113,-43,134,-51) -> Matrix(5,-1,4,-1) Matrix(1923,-742,806,-311) -> Matrix(11,-2,16,-3) Matrix(2011,-778,716,-277) -> Matrix(23,-6,4,-1) Matrix(939,-364,178,-69) -> Matrix(19,-6,16,-5) Matrix(1449,-565,536,-209) -> Matrix(19,-7,8,-3) Matrix(177,-70,134,-53) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(89,-36,220,-89) -> Matrix(9,-4,20,-9) (2/5,9/22) -> (2/5,1/2) Matrix(109,-45,264,-109) -> Matrix(17,-9,32,-17) (9/22,5/12) -> (1/2,9/16) Matrix(283,-119,88,-37) -> Matrix(5,-3,12,-7) 1/2 Matrix(1503,-635,916,-387) -> Matrix(5,-3,28,-17) Matrix(545,-231,696,-295) -> Matrix(1,-1,4,-3) 1/2 Matrix(1125,-488,302,-131) -> Matrix(5,-4,4,-3) 1/1 Matrix(821,-358,172,-75) -> Matrix(3,-2,8,-5) 1/2 Matrix(193,-85,302,-133) -> Matrix(23,-15,20,-13) Matrix(449,-201,172,-77) -> Matrix(41,-29,24,-17) Matrix(509,-234,298,-137) -> Matrix(5,-4,16,-13) Matrix(1037,-481,636,-295) -> Matrix(1,-1,4,-3) 1/2 Matrix(589,-278,464,-219) -> Matrix(13,-12,12,-11) 1/1 Matrix(21,-11,40,-21) -> Matrix(-1,1,0,1) (1/2,11/20) -> (1/2,1/0) Matrix(199,-110,360,-199) -> Matrix(19,-10,36,-19) (11/20,5/9) -> (1/2,5/9) Matrix(437,-244,120,-67) -> Matrix(17,-10,12,-7) Matrix(317,-180,118,-67) -> Matrix(19,-12,8,-5) Matrix(393,-226,40,-23) -> Matrix(5,-4,4,-3) 1/1 Matrix(2243,-1292,3894,-2243) -> Matrix(11,-10,12,-11) (19/33,34/59) -> (5/6,1/1) Matrix(1769,-1020,3068,-1769) -> Matrix(-1,2,0,1) (34/59,15/26) -> (1/1,1/0) Matrix(1729,-998,1062,-613) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(903,-524,274,-159) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(1117,-649,432,-251) -> Matrix(13,-5,8,-3) Matrix(195,-116,116,-69) -> Matrix(3,-2,-4,3) Matrix(1425,-868,1118,-681) -> Matrix(43,-34,24,-19) Matrix(3157,-1926,1926,-1175) -> Matrix(5,-4,84,-67) Matrix(653,-400,462,-283) -> Matrix(71,-58,60,-49) Matrix(173,-107,76,-47) -> Matrix(1,-1,8,-7) Matrix(191,-120,304,-191) -> Matrix(23,-22,24,-23) (5/8,12/19) -> (11/12,1/1) Matrix(265,-168,418,-265) -> Matrix(25,-26,24,-25) (12/19,7/11) -> (1/1,13/12) Matrix(283,-183,150,-97) -> Matrix(11,-15,8,-11) *** -> (5/4,3/2) Matrix(357,-233,262,-171) -> Matrix(7,-13,8,-15) Matrix(499,-339,184,-125) -> Matrix(11,-3,4,-1) Matrix(2261,-1551,1398,-959) -> Matrix(5,-3,-12,7) Matrix(623,-430,184,-127) -> Matrix(7,-6,8,-7) *** -> (3/4,1/1) Matrix(275,-191,36,-25) -> Matrix(1,-1,0,1) 1/0 Matrix(711,-499,218,-153) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(727,-512,328,-231) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(653,-462,400,-283) -> Matrix(1,0,-4,1) 0/1 Matrix(181,-130,252,-181) -> Matrix(5,-2,12,-5) (5/7,13/18) -> (1/3,1/2) Matrix(53,-39,72,-53) -> Matrix(5,-3,8,-5) (13/18,3/4) -> (1/2,3/4) Matrix(315,-244,244,-189) -> Matrix(3,-2,-4,3) Matrix(573,-451,728,-573) -> Matrix(29,-21,40,-29) (11/14,41/52) -> (7/10,3/4) Matrix(1559,-1230,1976,-1559) -> Matrix(103,-78,136,-103) (41/52,15/19) -> (3/4,13/17) Matrix(295,-233,138,-109) -> Matrix(9,-7,-4,3) Matrix(359,-293,136,-111) -> Matrix(31,-29,16,-15) Matrix(307,-252,374,-307) -> Matrix(39,-38,40,-39) (9/11,14/17) -> (19/20,1/1) Matrix(169,-140,204,-169) -> Matrix(17,-18,16,-17) (14/17,5/6) -> (1/1,9/8) Matrix(267,-230,166,-143) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(245,-219,66,-59) -> Matrix(7,-5,4,-3) Matrix(129,-149,58,-67) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(157,-185,28,-33) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(169,-204,140,-169) -> Matrix(-1,4,0,1) (6/5,17/14) -> (2/1,1/0) Matrix(69,-85,56,-69) -> Matrix(-1,1,0,1) (17/14,5/4) -> (1/2,1/0) Matrix(685,-866,246,-311) -> Matrix(13,-10,4,-3) Matrix(1559,-1976,1230,-1559) -> Matrix(15,-14,16,-15) (19/15,52/41) -> (7/8,1/1) Matrix(2705,-3432,2132,-2705) -> Matrix(25,-26,24,-25) (52/41,33/26) -> (1/1,13/12) Matrix(1393,-1770,218,-277) -> Matrix(21,-26,4,-5) Matrix(353,-452,82,-105) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(1189,-1540,918,-1189) -> Matrix(-1,0,8,1) (22/17,35/27) -> (-1/4,0/1) Matrix(701,-910,540,-701) -> Matrix(1,0,8,-1) (35/27,13/10) -> (0/1,1/4) Matrix(763,-1034,290,-393) -> Matrix(67,-54,36,-29) Matrix(1749,-2375,1288,-1749) -> Matrix(139,-115,168,-139) (19/14,125/92) -> (23/28,5/6) Matrix(9751,-13250,7176,-9751) -> Matrix(731,-610,876,-731) (125/92,53/39) -> (5/6,61/73) Matrix(2719,-3697,1682,-2287) -> Matrix(25,-21,-44,37) Matrix(197,-269,52,-71) -> Matrix(17,-15,8,-7) Matrix(287,-396,208,-287) -> Matrix(31,-30,32,-31) (11/8,18/13) -> (15/16,1/1) Matrix(181,-252,130,-181) -> Matrix(21,-22,20,-21) (18/13,7/5) -> (1/1,11/10) Matrix(503,-707,180,-253) -> Matrix(31,-35,8,-9) Matrix(823,-1160,232,-327) -> Matrix(45,-52,32,-37) Matrix(807,-1145,308,-437) -> Matrix(71,-87,40,-49) Matrix(3457,-4914,2432,-3457) -> Matrix(329,-410,264,-329) (27/19,91/64) -> (41/33,5/4) Matrix(2367,-3367,1664,-2367) -> Matrix(211,-265,168,-211) (91/64,37/26) -> (5/4,53/42) Matrix(613,-874,256,-365) -> Matrix(25,-32,32,-41) Matrix(37,-57,24,-37) -> Matrix(-1,3,0,1) (3/2,19/12) -> (3/2,1/0) Matrix(191,-304,120,-191) -> Matrix(1,4,0,-1) (19/12,8/5) -> (-2/1,1/0) Matrix(593,-956,214,-345) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(687,-1112,118,-191) -> Matrix(7,2,4,1) Matrix(745,-1207,308,-499) -> Matrix(7,-1,8,-1) Matrix(1693,-2772,1034,-1693) -> Matrix(-1,0,12,1) (18/11,77/47) -> (-1/6,0/1) Matrix(5545,-9086,3384,-5545) -> Matrix(1,0,48,-1) (77/47,59/36) -> (0/1,1/24) Matrix(339,-559,94,-155) -> Matrix(1,1,0,1) 1/0 Matrix(1013,-1716,598,-1013) -> Matrix(-1,0,16,1) (22/13,39/23) -> (-1/8,0/1) Matrix(781,-1326,460,-781) -> Matrix(1,0,16,-1) (39/23,17/10) -> (0/1,1/8) Matrix(365,-628,68,-117) -> Matrix(11,-4,8,-3) Matrix(727,-1258,204,-353) -> Matrix(19,-8,12,-5) Matrix(1769,-3068,1020,-1769) -> Matrix(41,-20,84,-41) (26/15,59/34) -> (10/21,1/2) Matrix(237,-413,136,-237) -> Matrix(9,-5,16,-9) (59/34,7/4) -> (1/2,5/8) Matrix(101,-179,22,-39) -> Matrix(1,-1,-4,3) Matrix(199,-360,110,-199) -> Matrix(19,-18,20,-19) (9/5,20/11) -> (9/10,1/1) Matrix(241,-440,132,-241) -> Matrix(25,-26,24,-25) (20/11,11/6) -> (1/1,13/12) Matrix(367,-686,130,-243) -> Matrix(21,-26,4,-5) Matrix(167,-359,20,-43) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(453,-1067,166,-391) -> Matrix(15,-11,4,-3) Matrix(359,-849,74,-175) -> Matrix(1,-1,4,-3) 1/2 Matrix(4141,-9810,1748,-4141) -> Matrix(3,-2,4,-3) (45/19,109/46) -> (1/2,1/1) Matrix(873,-2071,368,-873) -> Matrix(5,-3,8,-5) (109/46,19/8) -> (1/2,3/4) Matrix(431,-1027,128,-305) -> Matrix(13,-9,16,-11) 3/4 Matrix(307,-748,126,-307) -> Matrix(27,-26,28,-27) (17/7,22/9) -> (13/14,1/1) Matrix(89,-220,36,-89) -> Matrix(9,-10,8,-9) (22/9,5/2) -> (1/1,5/4) Matrix(937,-2412,364,-937) -> Matrix(65,-96,44,-65) (18/7,67/26) -> (16/11,3/2) Matrix(805,-2077,312,-805) -> Matrix(61,-93,40,-61) (67/26,31/12) -> (3/2,31/20) Matrix(427,-1124,68,-179) -> Matrix(31,-58,8,-15) Matrix(951,-2584,350,-951) -> Matrix(23,-66,8,-23) (19/7,68/25) -> (11/4,3/1) Matrix(2449,-6664,900,-2449) -> Matrix(49,-150,16,-49) (68/25,49/18) -> (3/1,25/8) Matrix(323,-885,50,-137) -> Matrix(-1,9,0,1) *** -> (9/2,1/0) Matrix(171,-481,16,-45) -> Matrix(1,-3,0,1) 1/0 Matrix(137,-391,48,-137) -> Matrix(-1,13,0,1) (17/6,23/8) -> (13/2,1/0) Matrix(47,-138,16,-47) -> Matrix(1,2,0,-1) (23/8,3/1) -> (-1/1,1/0) Matrix(2089,-6840,638,-2089) -> Matrix(1,0,0,-1) (36/11,95/29) -> (0/1,1/0) Matrix(3421,-11210,1044,-3421) -> Matrix(1,0,8,-1) (95/29,59/18) -> (0/1,1/4) Matrix(239,-816,70,-239) -> Matrix(19,-18,20,-19) (17/5,24/7) -> (9/10,1/1) Matrix(97,-336,28,-97) -> Matrix(9,-10,8,-9) (24/7,7/2) -> (1/1,5/4) Matrix(223,-832,26,-97) -> Matrix(1,-2,4,-7) Matrix(49,-200,12,-49) -> Matrix(-1,8,0,1) (4/1,25/6) -> (4/1,1/0) Matrix(101,-425,24,-101) -> Matrix(1,11,0,-1) (25/6,17/4) -> (-11/2,1/0) Matrix(51,-260,10,-51) -> Matrix(3,-2,4,-3) (5/1,26/5) -> (1/2,1/1) Matrix(209,-1092,40,-209) -> Matrix(17,-18,16,-17) (26/5,21/4) -> (1/1,9/8) Matrix(53,-351,8,-53) -> Matrix(-1,13,0,1) (13/2,27/4) -> (13/2,1/0) Matrix(55,-378,8,-55) -> Matrix(1,10,0,-1) (27/4,7/1) -> (-5/1,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.