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): 3072 Minimal number of generators: 513 Number of equivalence classes of cusps: 128 Genus: 193 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -7/15 -13/29 -3/7 -11/27 -5/13 -7/19 -9/25 -1/3 -7/23 -3/11 -1/5 -1/7 -1/9 0/1 1/7 5/27 3/13 5/19 7/25 1/3 9/23 7/17 5/11 1/2 7/13 17/31 3/5 11/17 13/19 5/7 7/9 11/13 13/15 15/17 1/1 17/15 13/11 141/115 9/7 23/17 37/27 7/5 19/13 3/2 39/25 11/7 49/31 119/73 5/3 161/95 121/71 41/23 9/5 31/17 13/7 21/11 2/1 11/5 67/29 7/3 45/19 17/7 5/2 23/9 13/5 35/13 117/43 47/17 189/67 3/1 16/5 49/15 37/11 17/5 99/29 149/43 7/2 25/7 11/3 63/17 19/5 127/33 27/7 4/1 21/5 13/3 22/5 261/59 9/2 289/63 23/5 14/3 33/7 19/4 53/11 5/1 26/5 37/7 16/3 27/5 11/2 17/3 23/4 29/5 6/1 25/4 19/3 13/2 20/3 27/4 7/1 22/3 15/2 23/3 8/1 25/3 17/2 26/3 44/5 9/1 19/2 29/3 10/1 11/1 23/2 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 1/1 -9/19 0/1 -8/17 1/2 -7/15 1/1 -13/28 7/5 -6/13 1/0 -11/24 3/1 -16/35 1/0 -21/46 1/1 -5/11 0/1 -14/31 1/2 -9/20 1/1 -13/29 1/1 -17/38 1/1 -4/9 3/2 -19/43 2/1 -34/77 1/0 -15/34 3/1 -11/25 2/1 -29/66 5/1 -18/41 1/0 -7/16 -1/1 -24/55 1/0 -17/39 0/1 -10/23 1/0 -13/30 1/5 -16/37 1/2 -3/7 1/1 -17/40 1/1 -14/33 3/2 -11/26 7/3 -30/71 1/0 -19/45 4/1 -8/19 1/0 -21/50 1/1 -13/31 4/1 -31/74 5/1 -18/43 1/0 -5/12 -1/1 -17/41 1/0 -12/29 1/0 -19/46 -1/3 -7/17 0/1 -23/56 1/1 -16/39 1/0 -9/22 1/1 -11/27 1/1 -13/32 1/1 -2/5 1/0 -11/28 1/1 -9/23 -2/1 -16/41 1/0 -7/18 -1/1 -19/49 0/1 -31/80 1/5 -12/31 1/0 -29/75 0/1 -46/119 1/2 -17/44 -1/1 -5/13 0/1 -23/60 1/1 -41/107 0/1 -59/154 1/1 -18/47 1/2 -31/81 0/1 -44/115 1/4 -13/34 1/1 -21/55 0/1 -29/76 1/7 -8/21 1/2 -19/50 1/1 -30/79 5/4 -11/29 2/1 -14/37 1/0 -3/8 1/1 -16/43 1/0 -13/35 -2/1 -23/62 -1/1 -10/27 -3/2 -27/73 -2/3 -17/46 -1/3 -24/65 1/0 -7/19 1/0 -25/68 1/1 -18/49 1/0 -11/30 -1/1 -15/41 -2/1 -4/11 -1/2 -13/36 -1/3 -9/25 0/1 -23/64 1/7 -37/103 0/1 -51/142 1/5 -14/39 1/4 -5/14 1/1 -21/59 2/3 -16/45 3/2 -11/31 1/1 -6/17 1/0 -7/20 1/1 -8/23 1/0 -9/26 -1/1 -1/3 0/1 -8/25 1/2 -7/22 1/1 -6/19 1/0 -5/16 1/1 -9/29 1/0 -13/42 3/1 -17/55 -2/1 -4/13 1/0 -11/36 -1/3 -7/23 0/1 -17/56 1/7 -27/89 0/1 -10/33 1/4 -3/10 1/3 -11/37 2/3 -19/64 1/1 -8/27 1/2 -13/44 1/1 -31/105 0/1 -18/61 1/0 -5/17 1/1 -17/58 1/1 -12/41 1/4 -7/24 3/5 -16/55 1/2 -9/31 2/3 -11/38 1/1 -2/7 1/0 -9/32 1/1 -16/57 1/0 -7/25 2/1 -19/68 5/1 -12/43 1/0 -5/18 -1/1 -13/47 0/1 -8/29 1/0 -27/98 -1/3 -46/167 1/6 -19/69 0/1 -11/40 -1/1 -3/11 0/1 -13/48 1/1 -36/133 1/2 -59/218 1/1 -23/85 0/1 -33/122 1/3 -10/37 1/2 -27/100 -1/1 -44/163 1/6 -17/63 0/1 -7/26 1/1 -11/41 0/1 -4/15 1/2 -9/34 1/1 -14/53 1/2 -5/19 2/3 -6/23 1/0 -1/4 1/1 -6/25 1/0 -5/21 1/0 -4/17 1/0 -7/30 1/1 -10/43 1/0 -13/56 1/1 -3/13 0/1 -11/48 -1/3 -8/35 1/4 -5/22 1/1 -7/31 1/1 -2/9 1/2 -7/32 1/1 -26/119 5/4 -19/87 1/1 -12/55 5/4 -5/23 4/3 -13/60 11/7 -8/37 1/0 -3/14 1/1 -7/33 4/3 -11/52 1/1 -4/19 7/4 -13/62 19/9 -9/43 2/1 -5/24 3/1 -6/29 1/0 -7/34 3/1 -8/39 1/0 -1/5 1/0 -8/41 1/0 -7/36 -1/1 -6/31 1/0 -5/26 -1/1 -4/21 -1/4 -11/58 1/11 -7/37 0/1 -3/16 1/1 -5/27 0/1 -7/38 1/1 -2/11 1/2 -5/28 1/1 -13/73 1/1 -34/191 3/2 -21/118 1/1 -8/45 5/4 -3/17 2/1 -4/23 3/2 -9/52 1/1 -5/29 2/1 -1/6 3/1 -4/25 1/0 -3/19 1/0 -2/13 1/0 -3/20 -1/1 -1/7 0/1 -4/29 1/0 -3/22 1/1 -2/15 3/2 -1/8 1/1 -2/17 7/2 -1/9 1/0 -1/10 -1/1 -1/11 0/1 0/1 1/0 1/10 -1/1 2/19 -1/2 1/9 0/1 2/17 1/0 1/8 1/1 2/15 5/2 3/22 3/1 1/7 1/0 2/13 -7/2 5/32 -3/1 3/19 -2/1 1/6 -1/1 3/17 -1/1 2/11 -3/2 5/27 -1/1 8/43 -7/8 3/16 -1/1 7/37 -1/2 4/21 1/0 5/26 -1/1 1/5 0/1 4/19 1/2 11/52 1/1 7/33 1/1 3/14 1/1 8/37 1/0 13/60 -1/1 5/23 1/1 7/32 1/1 2/9 1/0 7/31 4/1 12/53 1/0 5/22 5/1 3/13 1/0 7/30 -9/1 11/47 -8/1 4/17 1/0 9/38 -11/3 5/21 -4/1 1/4 -3/1 5/19 -2/1 9/34 -1/1 13/49 -2/1 4/15 -3/2 3/11 -2/1 14/51 -3/2 11/40 -1/1 8/29 -5/4 5/18 -1/1 7/25 -1/1 9/32 -1/1 2/7 -1/2 7/24 -1/1 5/17 0/1 13/44 -1/3 21/71 -1/1 8/27 1/0 19/64 -1/1 11/37 -1/1 3/10 -1/1 4/13 1/4 9/29 0/1 5/16 1/1 1/3 1/0 6/17 1/0 11/31 -2/1 5/14 -3/1 4/11 -7/4 15/41 -3/2 26/71 -3/2 11/30 -1/1 18/49 -3/2 7/19 -4/3 31/84 -9/7 24/65 -5/4 41/111 -1/1 17/46 -1/1 44/119 -5/4 27/73 -1/1 37/100 -7/5 10/27 -5/4 33/89 -6/5 23/62 -1/1 13/35 -1/1 3/8 -1/1 14/37 1/0 11/29 -2/1 19/50 -3/1 8/21 1/0 5/13 -4/3 22/57 1/0 17/44 -1/1 12/31 -5/4 7/18 -1/1 9/23 -1/1 11/28 -1/1 2/5 -1/2 11/27 -2/1 9/22 -1/1 16/39 1/0 39/95 -2/1 23/56 -1/1 7/17 -1/1 33/80 -1/1 26/63 -5/6 19/46 -1/1 50/121 -5/6 31/75 -4/5 12/29 -3/4 29/70 -9/13 17/41 -2/3 5/12 -1/1 18/43 -1/2 31/74 -3/7 13/31 -1/3 21/50 -1/3 8/19 -1/4 3/7 0/1 10/23 1/0 17/39 1/0 24/55 -5/2 7/16 -1/1 18/41 1/0 11/25 -1/1 4/9 1/0 13/29 0/1 9/20 1/1 5/11 1/0 11/24 -1/1 17/37 -2/1 23/50 -3/1 6/13 1/0 13/28 -1/1 7/15 -2/1 1/2 -1/1 10/19 -9/10 9/17 -4/5 8/15 -3/4 23/43 -2/3 15/28 -1/1 7/13 -1/2 13/24 -1/3 6/11 1/0 17/31 -1/1 28/51 -11/12 11/20 -1/1 16/29 -3/4 5/9 -2/3 9/16 -1/1 22/39 -1/2 13/23 -1/1 30/53 -1/2 47/83 -2/3 17/30 -1/1 4/7 -1/2 15/26 -1/3 26/45 -1/2 11/19 0/1 18/31 1/4 7/12 -1/1 31/53 -1/2 55/94 -1/1 24/41 -1/2 41/70 -5/11 17/29 0/1 27/46 1/1 64/109 1/0 37/63 -1/1 10/17 -1/2 3/5 0/1 14/23 1/0 25/41 0/1 36/59 1/0 11/18 1/1 41/67 1/0 30/49 -3/2 49/80 -1/1 19/31 0/1 27/44 1/3 35/57 1/1 8/13 1/0 21/34 -1/3 34/55 1/0 47/76 1/1 13/21 0/1 18/29 1/6 5/8 1/1 22/35 1/0 17/27 1/0 29/46 1/1 41/65 2/1 12/19 1/0 31/49 1/0 50/79 1/0 19/30 -5/1 45/71 -3/1 26/41 1/0 33/52 -1/1 7/11 -2/1 9/14 -1/1 20/31 1/0 31/48 -1/1 42/65 1/0 11/17 -1/1 24/37 1/0 13/20 -1/1 2/3 1/0 13/19 -1/1 24/35 -11/12 11/16 -1/1 31/45 -3/4 20/29 -5/6 29/42 -5/7 9/13 -2/3 25/36 -1/1 16/23 -1/2 23/33 -1/1 30/43 -3/4 37/53 -2/3 7/10 -3/5 26/37 -1/2 71/101 -1/2 45/64 -3/7 19/27 -2/5 12/17 -1/4 17/24 -1/1 22/31 1/0 27/38 -1/1 5/7 -1/1 28/39 -1/2 51/71 0/1 23/32 -1/3 18/25 1/0 13/18 -1/1 34/47 -5/6 21/29 -2/3 8/11 -1/2 11/15 -2/3 25/34 -1/1 14/19 -1/2 31/42 -1/1 48/65 -1/2 17/23 -1/2 3/4 -1/3 16/21 -1/2 29/38 -1/3 13/17 0/1 23/30 -1/3 56/73 -1/4 33/43 -1/4 10/13 -1/4 7/9 0/1 18/23 1/6 47/60 1/5 29/37 0/1 40/51 1/4 11/14 1/3 37/47 1/1 26/33 1/4 15/19 0/1 19/24 1/3 23/29 1/2 4/5 1/0 17/21 2/1 30/37 1/0 43/53 1/0 13/16 -3/1 35/43 -2/1 22/27 -1/2 53/65 0/1 31/38 1/3 40/49 1/2 9/11 1/0 14/17 1/0 5/6 -1/1 16/19 1/0 59/70 -1/1 43/51 0/1 27/32 1/1 11/13 0/1 39/46 1/1 28/33 1/0 17/20 1/1 23/27 -2/1 29/34 -1/1 6/7 1/0 13/15 -1/1 33/38 -1/3 20/23 1/0 27/31 -2/1 7/8 -1/1 15/17 -1/1 23/26 -1/1 8/9 -1/2 1/1 0/1 11/10 1/1 10/9 1/0 9/8 1/1 17/15 1/0 25/22 -3/1 8/7 1/0 7/6 -1/1 27/23 -2/1 20/17 -1/2 33/28 -1/1 13/11 0/1 32/27 -1/2 19/16 -1/1 6/5 1/0 23/19 -2/1 17/14 -1/1 28/23 1/0 11/9 -1/1 38/31 -1/4 141/115 0/1 103/84 1/9 65/53 0/1 27/22 1/1 70/57 1/0 43/35 -2/1 16/13 -3/2 21/17 -2/3 26/21 -5/8 5/4 -1/1 34/27 -1/2 29/23 -1/3 24/19 -1/4 19/15 0/1 71/56 -1/3 52/41 -1/4 33/26 -1/5 113/89 0/1 80/63 1/0 47/37 -1/2 61/48 -1/3 14/11 -1/4 9/7 0/1 22/17 1/6 35/27 0/1 48/37 1/4 61/47 1/5 13/10 1/3 43/33 1/3 30/23 1/2 17/13 0/1 55/42 1/3 38/29 1/2 21/16 1/1 25/19 1/2 4/3 1/2 23/17 1/1 88/65 5/4 65/48 1/1 42/31 1/0 19/14 1/1 53/39 1/1 34/25 1/0 49/36 1/1 15/11 2/1 26/19 1/0 37/27 0/1 2/1 48/35 1/0 11/8 1/1 18/13 1/0 43/31 0/1 111/80 1/1 68/49 1/0 93/67 1/0 25/18 -1/1 7/5 1/0 24/17 1/0 41/29 0/1 17/12 1/3 10/7 3/2 43/30 3/1 33/23 1/0 56/39 1/0 79/55 0/1 23/16 1/1 59/41 1/1 95/66 1/1 36/25 1/0 49/34 1/1 13/9 2/1 29/20 5/1 45/31 3/1 61/42 3/1 16/11 1/0 19/13 1/0 22/15 1/0 3/2 -1/1 20/13 1/0 17/11 1/0 48/31 1/0 31/20 -1/1 14/9 1/0 39/25 -2/1 0/1 64/41 1/0 25/16 -1/1 11/7 -2/1 52/33 1/0 93/59 -2/1 41/26 -1/1 153/97 -2/1 112/71 1/0 71/45 -3/2 172/109 -3/2 101/64 -1/1 30/19 -5/4 79/50 -1/1 49/31 -1/1 68/43 -7/8 19/12 -1/1 65/41 -2/3 111/70 -1/1 46/29 -1/2 27/17 -1/1 35/22 -1/1 8/5 -1/2 21/13 0/1 97/60 -1/1 76/47 -1/2 55/34 -1/1 34/21 1/2 149/92 1/1 115/71 0/1 196/121 1/0 277/171 0/1 81/50 1/1 128/79 3/2 47/29 1/0 13/8 -1/1 70/43 -1/2 57/35 -1/2 44/27 -1/4 119/73 0/1 194/119 1/14 75/46 1/5 31/19 0/1 111/68 1/1 191/117 1/0 80/49 1/0 49/30 -3/1 165/101 -2/1 281/172 -19/9 397/243 -2/1 116/71 -7/4 67/41 -1/1 18/11 -1/2 5/3 0/1 22/13 1/0 61/36 1/1 161/95 0/1 2/1 261/154 1/1 100/59 1/0 39/23 0/1 56/33 1/2 73/43 1/2 17/10 1/1 80/47 1/0 63/37 1/0 46/27 -1/2 121/71 0/1 196/115 1/12 75/44 1/5 29/17 0/1 70/41 5/6 111/65 1/1 41/24 1/1 53/31 1/1 65/38 3/1 12/7 1/0 19/11 0/1 83/48 1/1 64/37 1/0 45/26 1/1 26/15 1/2 33/19 1/2 106/61 1/2 73/42 1/3 40/23 1/2 7/4 1/1 30/17 1/0 53/30 1/1 23/13 1/0 62/35 1/0 225/127 1/0 163/92 -1/1 101/57 0/1 39/22 1/1 55/31 0/1 16/9 1/0 41/23 0/1 2/1 66/37 1/0 25/14 1/1 9/5 2/1 29/16 3/1 20/11 1/0 51/28 11/1 31/17 1/0 73/40 -15/1 42/23 1/0 11/6 -1/1 24/13 1/2 37/20 1/1 13/7 1/1 41/22 1/1 28/15 1/0 15/8 3/1 17/9 4/1 19/10 9/1 21/11 1/0 2/1 1/0 17/8 -1/1 15/7 -2/1 58/27 -3/2 43/20 -1/1 28/13 1/0 13/6 -1/1 11/5 -1/1 31/14 -1/1 51/23 0/1 20/9 -1/2 69/31 -1/1 49/22 1/1 29/13 0/1 9/4 -1/1 34/15 1/0 59/26 -1/1 25/11 1/0 66/29 1/0 41/18 -1/1 16/7 1/0 55/24 -5/3 39/17 -1/1 62/27 -1/2 85/37 0/1 108/47 -1/2 23/10 -1/1 30/13 1/0 67/29 -1/1 104/45 -5/6 37/16 -1/1 44/19 -1/2 7/3 0/1 26/11 -1/4 45/19 0/1 64/27 1/10 19/8 1/3 31/13 1/2 43/18 1/1 12/5 1/0 41/17 2/1 111/46 13/7 70/29 9/4 29/12 3/1 46/19 1/0 109/45 4/1 172/71 9/2 63/26 5/1 17/7 1/0 22/9 1/0 49/20 -1/1 27/11 -2/1 5/2 1/1 23/9 1/0 41/16 -17/1 18/7 1/0 103/40 -7/1 85/33 -6/1 67/26 -5/1 49/19 1/0 31/12 -5/1 75/29 -4/1 44/17 1/0 101/39 -3/1 57/22 -1/1 13/5 -4/1 60/23 -7/2 47/18 -3/1 128/49 -31/10 81/31 -3/1 34/13 -11/4 21/8 -1/1 29/11 -2/1 66/25 -3/2 37/14 -1/1 8/3 1/0 35/13 1/0 62/23 1/0 151/56 -7/1 89/33 -6/1 116/43 1/0 27/10 -5/1 73/27 1/0 46/17 1/0 65/24 -5/1 84/31 -9/2 187/69 -4/1 103/38 -11/3 19/7 -4/1 68/25 -19/6 117/43 -3/1 166/61 -41/14 49/18 -3/1 79/29 -5/2 109/40 -3/1 30/11 1/0 11/4 -7/3 47/17 -2/1 83/30 -45/23 36/13 -19/10 25/9 -2/1 14/5 -3/2 45/16 -1/1 31/11 -2/1 110/39 1/0 189/67 -2/1 79/28 -5/3 127/45 -3/2 48/17 -3/2 17/6 -1/1 20/7 -3/2 23/8 -1/1 3/1 -1/1 25/8 -1/1 22/7 -1/2 41/13 0/1 19/6 -1/1 16/5 -1/2 45/14 -1/3 29/9 0/1 13/4 -1/5 49/15 0/1 85/26 1/25 36/11 1/10 23/7 0/1 10/3 1/0 37/11 1/0 64/19 1/0 91/27 0/1 209/62 1/1 118/35 1/0 27/8 -1/1 125/37 0/1 98/29 1/0 71/21 1/0 115/34 -1/1 44/13 1/2 61/18 3/1 17/5 0/1 58/17 1/0 99/29 0/1 2/1 140/41 1/0 41/12 1/1 24/7 1/0 31/9 1/0 69/20 -3/1 107/31 -2/1 38/11 1/0 83/24 -1/1 45/13 0/1 97/28 -1/1 149/43 0/1 52/15 1/0 7/2 1/1 25/7 1/0 43/12 -13/1 18/5 1/0 47/13 1/0 123/34 -3/1 76/21 1/0 29/8 -5/1 98/27 1/0 69/19 -4/1 40/11 1/0 131/36 -3/1 91/25 -3/1 51/14 -3/1 62/17 -11/4 11/3 -2/1 37/10 1/1 100/27 1/0 63/17 1/0 26/7 1/0 15/4 -3/1 64/17 1/0 49/13 -2/1 83/22 -1/1 34/9 1/0 53/14 -3/1 72/19 1/0 19/5 -2/1 23/6 -1/1 50/13 1/0 127/33 -3/1 77/20 -3/1 27/7 -2/1 4/1 -3/2 25/6 -1/1 21/5 -4/3 59/14 -1/1 38/9 -11/8 17/4 -1/1 13/3 -1/1 35/8 -1/1 92/21 -7/8 149/34 -13/15 57/13 -6/7 79/18 -1/1 22/5 -5/6 75/17 -1/1 128/29 -5/6 53/12 -1/1 84/19 -5/6 199/45 -5/6 115/26 -9/11 261/59 -4/5 146/33 -11/14 31/7 -4/5 9/2 -1/1 32/7 -1/2 55/12 -1/1 133/29 -2/3 211/46 -3/5 289/63 -1/2 78/17 -1/2 23/5 -1/2 83/18 -1/3 60/13 1/0 97/21 0/1 37/8 -1/1 88/19 -1/2 51/11 0/1 14/3 -1/2 33/7 -1/2 118/25 -1/2 85/18 -3/7 52/11 -1/2 123/26 -3/7 317/67 -2/5 194/41 -3/8 71/15 -2/5 19/4 -1/3 24/5 -1/6 53/11 0/1 82/17 1/16 29/6 1/5 5/1 0/1 31/6 -1/1 26/5 1/0 47/9 1/0 21/4 -1/1 58/11 -1/2 37/7 1/1 90/17 1/0 53/10 1/1 16/3 1/0 27/5 1/0 38/7 1/0 11/2 -3/1 28/5 1/0 17/3 1/0 23/4 -1/1 52/9 1/0 81/14 -3/1 191/33 -3/1 110/19 -5/2 29/5 -2/1 6/1 1/0 31/5 -3/2 56/9 -3/2 25/4 -5/3 19/3 -2/1 32/5 -3/2 77/12 -1/1 45/7 -1/1 13/2 -7/5 20/3 -5/4 27/4 -1/1 7/1 -1/1 29/4 -1/1 22/3 -3/4 15/2 -5/7 23/3 -2/3 8/1 -1/2 25/3 1/0 17/2 -1/1 26/3 1/0 35/4 -1/1 44/5 -1/2 9/1 0/1 19/2 1/1 29/3 1/0 10/1 1/0 11/1 -1/1 23/2 -1/1 12/1 -3/2 1/0 -1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(2195,1042,1582,751) (-1/2,-9/19) -> (43/31,111/80) Hyperbolic Matrix(2789,1316,604,285) (-9/19,-8/17) -> (60/13,97/21) Hyperbolic Matrix(841,394,1206,565) (-8/17,-7/15) -> (23/33,30/43) Hyperbolic Matrix(1917,892,836,389) (-7/15,-13/28) -> (55/24,39/17) Hyperbolic Matrix(2025,938,598,277) (-13/28,-6/13) -> (44/13,61/18) Hyperbolic Matrix(593,272,944,433) (-6/13,-11/24) -> (5/8,22/35) Hyperbolic Matrix(1297,594,238,109) (-11/24,-16/35) -> (38/7,11/2) Hyperbolic Matrix(2827,1292,1652,755) (-16/35,-21/46) -> (65/38,12/7) Hyperbolic Matrix(3887,1774,2706,1235) (-21/46,-5/11) -> (79/55,23/16) Hyperbolic Matrix(1403,634,582,263) (-5/11,-14/31) -> (12/5,41/17) Hyperbolic Matrix(817,368,464,209) (-14/31,-9/20) -> (7/4,30/17) Hyperbolic Matrix(347,156,932,419) (-9/20,-13/29) -> (13/35,3/8) Hyperbolic Matrix(1161,520,3128,1401) (-13/29,-17/38) -> (23/62,13/35) Hyperbolic Matrix(1733,774,1274,569) (-17/38,-4/9) -> (34/25,49/36) Hyperbolic Matrix(1493,660,1260,557) (-4/9,-19/43) -> (13/11,32/27) Hyperbolic Matrix(9397,4150,5962,2633) (-19/43,-34/77) -> (52/33,93/59) Hyperbolic Matrix(5841,2578,1262,557) (-34/77,-15/34) -> (37/8,88/19) Hyperbolic Matrix(1031,454,570,251) (-15/34,-11/25) -> (9/5,29/16) Hyperbolic Matrix(1943,854,2282,1003) (-11/25,-29/66) -> (17/20,23/27) Hyperbolic Matrix(683,300,-3308,-1453) (-29/66,-18/41) -> (-6/29,-7/34) Hyperbolic Matrix(2051,900,572,251) (-18/41,-7/16) -> (43/12,18/5) Hyperbolic Matrix(1929,842,2614,1141) (-7/16,-24/55) -> (14/19,31/42) Hyperbolic Matrix(2723,1188,4316,1883) (-24/55,-17/39) -> (41/65,12/19) Hyperbolic Matrix(455,198,1018,443) (-17/39,-10/23) -> (4/9,13/29) Hyperbolic Matrix(907,394,-2378,-1033) (-10/23,-13/30) -> (-29/76,-8/21) Hyperbolic Matrix(453,196,1916,829) (-13/30,-16/37) -> (4/17,9/38) Hyperbolic Matrix(787,340,-3604,-1557) (-16/37,-3/7) -> (-19/87,-12/55) Hyperbolic Matrix(555,236,-3116,-1325) (-3/7,-17/40) -> (-5/28,-13/73) Hyperbolic Matrix(669,284,1444,613) (-17/40,-14/33) -> (6/13,13/28) Hyperbolic Matrix(1335,566,-3446,-1461) (-14/33,-11/26) -> (-31/80,-12/31) Hyperbolic Matrix(4321,1826,1886,797) (-11/26,-30/71) -> (16/7,55/24) Hyperbolic Matrix(999,422,1882,795) (-30/71,-19/45) -> (9/17,8/15) Hyperbolic Matrix(223,94,994,419) (-19/45,-8/19) -> (2/9,7/31) Hyperbolic Matrix(661,278,554,233) (-8/19,-21/50) -> (19/16,6/5) Hyperbolic Matrix(1877,788,-5076,-2131) (-21/50,-13/31) -> (-27/73,-17/46) Hyperbolic Matrix(1541,646,2426,1017) (-13/31,-31/74) -> (33/52,7/11) Hyperbolic Matrix(659,276,-3412,-1429) (-31/74,-18/43) -> (-6/31,-5/26) Hyperbolic Matrix(1979,828,772,323) (-18/43,-5/12) -> (41/16,18/7) Hyperbolic Matrix(327,136,440,183) (-5/12,-17/41) -> (17/23,3/4) Hyperbolic Matrix(1531,634,326,135) (-17/41,-12/29) -> (14/3,33/7) Hyperbolic Matrix(653,270,1202,497) (-12/29,-19/46) -> (13/24,6/11) Hyperbolic Matrix(325,134,-1414,-583) (-19/46,-7/17) -> (-3/13,-11/48) Hyperbolic Matrix(1957,804,-6628,-2723) (-7/17,-23/56) -> (-13/44,-31/105) Hyperbolic Matrix(2173,892,324,133) (-23/56,-16/39) -> (20/3,27/4) Hyperbolic Matrix(1517,622,978,401) (-16/39,-9/22) -> (31/20,14/9) Hyperbolic Matrix(323,132,1084,443) (-9/22,-11/27) -> (11/37,3/10) Hyperbolic Matrix(865,352,2912,1185) (-11/27,-13/32) -> (19/64,11/37) Hyperbolic Matrix(1397,566,970,393) (-13/32,-2/5) -> (36/25,49/34) Hyperbolic Matrix(529,208,1264,497) (-2/5,-11/28) -> (5/12,18/43) Hyperbolic Matrix(1159,454,314,123) (-11/28,-9/23) -> (11/3,37/10) Hyperbolic Matrix(527,206,-1998,-781) (-9/23,-16/41) -> (-14/53,-5/19) Hyperbolic Matrix(945,368,208,81) (-16/41,-7/18) -> (9/2,32/7) Hyperbolic Matrix(1361,528,1776,689) (-7/18,-19/49) -> (13/17,23/30) Hyperbolic Matrix(1357,526,-6478,-2511) (-19/49,-31/80) -> (-13/62,-9/43) Hyperbolic Matrix(4903,1896,1880,727) (-12/31,-29/75) -> (13/5,60/23) Hyperbolic Matrix(5323,2058,-19722,-7625) (-29/75,-46/119) -> (-44/163,-17/63) Hyperbolic Matrix(12517,4838,2714,1049) (-46/119,-17/44) -> (83/18,60/13) Hyperbolic Matrix(519,200,-1352,-521) (-17/44,-5/13) -> (-5/13,-23/60) Parabolic Matrix(7677,2942,-21374,-8191) (-23/60,-41/107) -> (-37/103,-51/142) Hyperbolic Matrix(9855,3776,-36416,-13953) (-41/107,-59/154) -> (-59/218,-23/85) Hyperbolic Matrix(6223,2384,-34960,-13393) (-59/154,-18/47) -> (-34/191,-21/118) Hyperbolic Matrix(3317,1270,2698,1033) (-18/47,-31/81) -> (43/35,16/13) Hyperbolic Matrix(5911,2262,-21462,-8213) (-31/81,-44/115) -> (-46/167,-19/69) Hyperbolic Matrix(14721,5632,4352,1665) (-44/115,-13/34) -> (115/34,44/13) Hyperbolic Matrix(1555,594,1966,751) (-13/34,-21/55) -> (15/19,19/24) Hyperbolic Matrix(1137,434,-6002,-2291) (-21/55,-29/76) -> (-11/58,-7/37) Hyperbolic Matrix(1757,668,1444,549) (-8/21,-19/50) -> (17/14,28/23) Hyperbolic Matrix(2269,862,4130,1569) (-19/50,-30/79) -> (28/51,11/20) Hyperbolic Matrix(1033,392,2680,1017) (-30/79,-11/29) -> (5/13,22/57) Hyperbolic Matrix(723,274,-2578,-977) (-11/29,-14/37) -> (-16/57,-7/25) Hyperbolic Matrix(1645,622,722,273) (-14/37,-3/8) -> (41/18,16/7) Hyperbolic Matrix(305,114,206,77) (-3/8,-16/43) -> (22/15,3/2) Hyperbolic Matrix(1937,720,304,113) (-16/43,-13/35) -> (19/3,32/5) Hyperbolic Matrix(1525,566,714,265) (-13/35,-23/62) -> (17/8,15/7) Hyperbolic Matrix(205,76,1524,565) (-23/62,-10/27) -> (2/15,3/22) Hyperbolic Matrix(5893,2180,3452,1277) (-10/27,-27/73) -> (29/17,70/41) Hyperbolic Matrix(2437,900,5884,2173) (-17/46,-24/65) -> (12/29,29/70) Hyperbolic Matrix(2335,862,3042,1123) (-24/65,-7/19) -> (33/43,10/13) Hyperbolic Matrix(1925,708,2428,893) (-7/19,-25/68) -> (19/24,23/29) Hyperbolic Matrix(1317,484,-5668,-2083) (-25/68,-18/49) -> (-10/43,-13/56) Hyperbolic Matrix(2021,742,1114,409) (-18/49,-11/30) -> (29/16,20/11) Hyperbolic Matrix(1109,406,-3734,-1367) (-11/30,-15/41) -> (-11/37,-19/64) Hyperbolic Matrix(203,74,502,183) (-15/41,-4/11) -> (2/5,11/27) Hyperbolic Matrix(1101,398,1906,689) (-4/11,-13/36) -> (15/26,26/45) Hyperbolic Matrix(899,324,-2500,-901) (-13/36,-9/25) -> (-9/25,-23/64) Parabolic Matrix(11685,4198,3098,1113) (-23/64,-37/103) -> (49/13,83/22) Hyperbolic Matrix(28363,10186,17974,6455) (-51/142,-14/39) -> (172/109,101/64) Hyperbolic Matrix(1295,464,2096,751) (-14/39,-5/14) -> (21/34,34/55) Hyperbolic Matrix(3775,1344,896,319) (-5/14,-21/59) -> (21/5,59/14) Hyperbolic Matrix(995,354,1886,671) (-21/59,-16/45) -> (10/19,9/17) Hyperbolic Matrix(3573,1270,2186,777) (-16/45,-11/31) -> (67/41,18/11) Hyperbolic Matrix(1885,668,1188,421) (-11/31,-6/17) -> (46/29,27/17) Hyperbolic Matrix(789,278,298,105) (-6/17,-7/20) -> (37/14,8/3) Hyperbolic Matrix(1673,584,1080,377) (-7/20,-8/23) -> (48/31,31/20) Hyperbolic Matrix(783,272,688,239) (-8/23,-9/26) -> (25/22,8/7) Hyperbolic Matrix(1273,440,2248,777) (-9/26,-1/3) -> (47/83,17/30) Hyperbolic Matrix(1417,456,376,121) (-1/3,-8/25) -> (64/17,49/13) Hyperbolic Matrix(751,240,848,271) (-8/25,-7/22) -> (23/26,8/9) Hyperbolic Matrix(1029,326,1594,505) (-7/22,-6/19) -> (20/31,31/48) Hyperbolic Matrix(281,88,744,233) (-6/19,-5/16) -> (3/8,14/37) Hyperbolic Matrix(1113,346,1766,549) (-5/16,-9/29) -> (17/27,29/46) Hyperbolic Matrix(2041,632,3336,1033) (-9/29,-13/42) -> (11/18,41/67) Hyperbolic Matrix(1759,544,928,287) (-13/42,-17/55) -> (17/9,19/10) Hyperbolic Matrix(2131,658,3054,943) (-17/55,-4/13) -> (30/43,37/53) Hyperbolic Matrix(1939,594,1198,367) (-4/13,-11/36) -> (55/34,34/21) Hyperbolic Matrix(643,196,-2116,-645) (-11/36,-7/23) -> (-7/23,-17/56) Parabolic Matrix(4225,1282,-15618,-4739) (-17/56,-27/89) -> (-23/85,-33/122) Hyperbolic Matrix(1471,446,2754,835) (-27/89,-10/33) -> (8/15,23/43) Hyperbolic Matrix(1745,528,1008,305) (-10/33,-3/10) -> (45/26,26/15) Hyperbolic Matrix(455,136,184,55) (-3/10,-11/37) -> (27/11,5/2) Hyperbolic Matrix(3369,1000,2456,729) (-19/64,-8/27) -> (48/35,11/8) Hyperbolic Matrix(1001,296,1816,537) (-8/27,-13/44) -> (11/20,16/29) Hyperbolic Matrix(271,80,2544,751) (-31/105,-18/61) -> (2/19,1/9) Hyperbolic Matrix(2177,642,1726,509) (-18/61,-5/17) -> (29/23,24/19) Hyperbolic Matrix(2715,796,2084,611) (-5/17,-17/58) -> (13/10,43/33) Hyperbolic Matrix(5249,1538,2174,637) (-17/58,-12/41) -> (70/29,29/12) Hyperbolic Matrix(725,212,-3348,-979) (-12/41,-7/24) -> (-13/60,-8/37) Hyperbolic Matrix(1353,394,182,53) (-7/24,-16/55) -> (22/3,15/2) Hyperbolic Matrix(3521,1024,1984,577) (-16/55,-9/31) -> (55/31,16/9) Hyperbolic Matrix(269,78,1714,497) (-9/31,-11/38) -> (5/32,3/19) Hyperbolic Matrix(989,286,1442,417) (-11/38,-2/7) -> (24/35,11/16) Hyperbolic Matrix(625,176,1424,401) (-2/7,-9/32) -> (7/16,18/41) Hyperbolic Matrix(3473,976,2224,625) (-9/32,-16/57) -> (64/41,25/16) Hyperbolic Matrix(2309,646,890,249) (-7/25,-19/68) -> (57/22,13/5) Hyperbolic Matrix(3553,992,1952,545) (-19/68,-12/43) -> (20/11,51/28) Hyperbolic Matrix(977,272,176,49) (-12/43,-5/18) -> (11/2,28/5) Hyperbolic Matrix(267,74,-1418,-393) (-5/18,-13/47) -> (-7/37,-3/16) Hyperbolic Matrix(1679,464,1328,367) (-13/47,-8/29) -> (24/19,19/15) Hyperbolic Matrix(2917,804,3356,925) (-8/29,-27/98) -> (33/38,20/23) Hyperbolic Matrix(31537,8688,19344,5329) (-27/98,-46/167) -> (194/119,75/46) Hyperbolic Matrix(2297,632,2824,777) (-19/69,-11/40) -> (13/16,35/43) Hyperbolic Matrix(263,72,-968,-265) (-11/40,-3/11) -> (-3/11,-13/48) Parabolic Matrix(1315,356,-6756,-1829) (-13/48,-36/133) -> (-8/41,-7/36) Hyperbolic Matrix(56513,15296,33344,9025) (-36/133,-59/218) -> (261/154,100/59) Hyperbolic Matrix(6753,1826,1054,285) (-33/122,-10/37) -> (32/5,77/12) Hyperbolic Matrix(2369,640,6400,1729) (-10/37,-27/100) -> (37/100,10/27) Hyperbolic Matrix(31825,8592,18672,5041) (-27/100,-44/163) -> (196/115,75/44) Hyperbolic Matrix(3329,898,4734,1277) (-17/63,-7/26) -> (45/64,19/27) Hyperbolic Matrix(439,118,-2102,-565) (-7/26,-11/41) -> (-9/43,-5/24) Hyperbolic Matrix(1485,398,1138,305) (-11/41,-4/15) -> (30/23,17/13) Hyperbolic Matrix(173,46,786,209) (-4/15,-9/34) -> (7/32,2/9) Hyperbolic Matrix(3569,944,2000,529) (-9/34,-14/53) -> (66/37,25/14) Hyperbolic Matrix(1129,296,1560,409) (-5/19,-6/23) -> (34/47,21/29) Hyperbolic Matrix(1037,270,434,113) (-6/23,-1/4) -> (43/18,12/5) Hyperbolic Matrix(1181,284,420,101) (-1/4,-6/25) -> (14/5,45/16) Hyperbolic Matrix(2269,542,674,161) (-6/25,-5/21) -> (37/11,64/19) Hyperbolic Matrix(839,198,250,59) (-5/21,-4/17) -> (10/3,37/11) Hyperbolic Matrix(753,176,1168,273) (-4/17,-7/30) -> (9/14,20/31) Hyperbolic Matrix(1253,292,3420,797) (-7/30,-10/43) -> (26/71,11/30) Hyperbolic Matrix(751,174,82,19) (-13/56,-3/13) -> (9/1,19/2) Hyperbolic Matrix(3737,856,1576,361) (-11/48,-8/35) -> (64/27,19/8) Hyperbolic Matrix(913,208,496,113) (-8/35,-5/22) -> (11/6,24/13) Hyperbolic Matrix(247,56,1160,263) (-5/22,-7/31) -> (7/33,3/14) Hyperbolic Matrix(331,74,246,55) (-7/31,-2/9) -> (4/3,23/17) Hyperbolic Matrix(163,36,412,91) (-2/9,-7/32) -> (11/28,2/5) Hyperbolic Matrix(4997,1092,572,125) (-7/32,-26/119) -> (26/3,35/4) Hyperbolic Matrix(4505,984,-25304,-5527) (-26/119,-19/87) -> (-13/73,-34/191) Hyperbolic Matrix(1801,392,1144,249) (-12/55,-5/23) -> (11/7,52/33) Hyperbolic Matrix(1963,426,3350,727) (-5/23,-13/60) -> (41/70,17/29) Hyperbolic Matrix(409,88,488,105) (-8/37,-3/14) -> (5/6,16/19) Hyperbolic Matrix(731,156,164,35) (-3/14,-7/33) -> (31/7,9/2) Hyperbolic Matrix(1379,292,732,155) (-7/33,-11/52) -> (15/8,17/9) Hyperbolic Matrix(1381,292,3164,669) (-11/52,-4/19) -> (24/55,7/16) Hyperbolic Matrix(3809,800,1376,289) (-4/19,-13/62) -> (83/30,36/13) Hyperbolic Matrix(1049,218,486,101) (-5/24,-6/29) -> (28/13,13/6) Hyperbolic Matrix(4997,1028,1852,381) (-7/34,-8/39) -> (116/43,27/10) Hyperbolic Matrix(79,16,-400,-81) (-8/39,-1/5) -> (-1/5,-8/41) Parabolic Matrix(5085,988,1508,293) (-7/36,-6/31) -> (118/35,27/8) Hyperbolic Matrix(1345,258,318,61) (-5/26,-4/21) -> (38/9,17/4) Hyperbolic Matrix(3873,736,1184,225) (-4/21,-11/58) -> (85/26,36/11) Hyperbolic Matrix(707,132,316,59) (-3/16,-5/27) -> (29/13,9/4) Hyperbolic Matrix(2983,550,1882,347) (-5/27,-7/38) -> (19/12,65/41) Hyperbolic Matrix(1805,332,1332,245) (-7/38,-2/11) -> (42/31,19/14) Hyperbolic Matrix(155,28,548,99) (-2/11,-5/28) -> (9/32,2/7) Hyperbolic Matrix(13779,2452,5996,1067) (-21/118,-8/45) -> (108/47,23/10) Hyperbolic Matrix(1555,276,1324,235) (-8/45,-3/17) -> (27/23,20/17) Hyperbolic Matrix(387,68,700,123) (-3/17,-4/23) -> (16/29,5/9) Hyperbolic Matrix(773,134,698,121) (-4/23,-9/52) -> (11/10,10/9) Hyperbolic Matrix(1703,294,2010,347) (-9/52,-5/29) -> (11/13,39/46) Hyperbolic Matrix(849,146,1006,173) (-5/29,-1/6) -> (27/32,11/13) Hyperbolic Matrix(1221,196,380,61) (-1/6,-4/25) -> (16/5,45/14) Hyperbolic Matrix(2053,326,762,121) (-4/25,-3/19) -> (35/13,62/23) Hyperbolic Matrix(607,94,226,35) (-3/19,-2/13) -> (8/3,35/13) Hyperbolic Matrix(301,46,530,81) (-2/13,-3/20) -> (17/30,4/7) Hyperbolic Matrix(375,56,904,135) (-3/20,-1/7) -> (17/41,5/12) Hyperbolic Matrix(2899,402,1262,175) (-1/7,-4/29) -> (62/27,85/37) Hyperbolic Matrix(2077,286,1634,225) (-4/29,-3/22) -> (61/48,14/11) Hyperbolic Matrix(221,30,1186,161) (-3/22,-2/15) -> (8/43,3/16) Hyperbolic Matrix(589,78,370,49) (-2/15,-1/8) -> (35/22,8/5) Hyperbolic Matrix(653,78,946,113) (-1/8,-2/17) -> (20/29,29/42) Hyperbolic Matrix(505,58,1158,133) (-2/17,-1/9) -> (17/39,24/55) Hyperbolic Matrix(717,76,500,53) (-1/9,-1/10) -> (43/30,33/23) Hyperbolic Matrix(423,40,920,87) (-1/10,-1/11) -> (17/37,23/50) Hyperbolic Matrix(491,44,212,19) (-1/11,0/1) -> (44/19,7/3) Hyperbolic Matrix(583,-56,760,-73) (0/1,1/10) -> (23/30,56/73) Hyperbolic Matrix(1743,-178,754,-77) (1/10,2/19) -> (104/45,37/16) Hyperbolic Matrix(2123,-246,630,-73) (1/9,2/17) -> (64/19,91/27) Hyperbolic Matrix(971,-118,1654,-201) (2/17,1/8) -> (27/46,64/109) Hyperbolic Matrix(283,-36,228,-29) (1/8,2/15) -> (26/21,5/4) Hyperbolic Matrix(1181,-162,226,-31) (3/22,1/7) -> (47/9,21/4) Hyperbolic Matrix(223,-34,610,-93) (1/7,2/13) -> (4/11,15/41) Hyperbolic Matrix(2273,-352,1440,-223) (2/13,5/32) -> (101/64,30/19) Hyperbolic Matrix(1105,-176,496,-79) (3/19,1/6) -> (49/22,29/13) Hyperbolic Matrix(435,-76,1036,-181) (1/6,3/17) -> (13/31,21/50) Hyperbolic Matrix(597,-106,490,-87) (3/17,2/11) -> (28/23,11/9) Hyperbolic Matrix(271,-50,1458,-269) (2/11,5/27) -> (5/27,8/43) Parabolic Matrix(2801,-528,3984,-751) (3/16,7/37) -> (71/101,45/64) Hyperbolic Matrix(1669,-316,2044,-387) (7/37,4/21) -> (40/49,9/11) Hyperbolic Matrix(1181,-226,162,-31) (4/21,5/26) -> (29/4,22/3) Hyperbolic Matrix(1877,-364,428,-83) (5/26,1/5) -> (57/13,79/18) Hyperbolic Matrix(899,-188,636,-133) (1/5,4/19) -> (24/17,41/29) Hyperbolic Matrix(2273,-480,1056,-223) (4/19,11/52) -> (43/20,28/13) Hyperbolic Matrix(2693,-570,7290,-1543) (11/52,7/33) -> (41/111,17/46) Hyperbolic Matrix(473,-102,422,-91) (3/14,8/37) -> (10/9,9/8) Hyperbolic Matrix(1211,-262,2630,-569) (8/37,13/60) -> (23/50,6/13) Hyperbolic Matrix(2471,-536,6680,-1449) (13/60,5/23) -> (27/73,37/100) Hyperbolic Matrix(2417,-528,1680,-367) (5/23,7/32) -> (23/16,59/41) Hyperbolic Matrix(7203,-1630,2974,-673) (7/31,12/53) -> (46/19,109/45) Hyperbolic Matrix(2661,-604,1564,-355) (12/53,5/22) -> (17/10,80/47) Hyperbolic Matrix(157,-36,676,-155) (5/22,3/13) -> (3/13,7/30) Parabolic Matrix(1607,-376,312,-73) (7/30,11/47) -> (5/1,31/6) Hyperbolic Matrix(1399,-328,1608,-377) (11/47,4/17) -> (20/23,27/31) Hyperbolic Matrix(1553,-368,2224,-527) (9/38,5/21) -> (37/53,7/10) Hyperbolic Matrix(1137,-272,464,-111) (5/21,1/4) -> (49/20,27/11) Hyperbolic Matrix(405,-106,1066,-279) (1/4,5/19) -> (11/29,19/50) Hyperbolic Matrix(3139,-830,1214,-321) (5/19,9/34) -> (31/12,75/29) Hyperbolic Matrix(1517,-402,2834,-751) (9/34,13/49) -> (23/43,15/28) Hyperbolic Matrix(2175,-578,3842,-1021) (13/49,4/15) -> (30/53,47/83) Hyperbolic Matrix(403,-108,556,-149) (4/15,3/11) -> (21/29,8/11) Hyperbolic Matrix(2963,-812,2412,-661) (3/11,14/51) -> (70/57,43/35) Hyperbolic Matrix(5323,-1462,3062,-841) (14/51,11/40) -> (73/42,40/23) Hyperbolic Matrix(3713,-1022,1406,-387) (11/40,8/29) -> (66/25,37/14) Hyperbolic Matrix(853,-236,300,-83) (8/29,5/18) -> (17/6,20/7) Hyperbolic Matrix(351,-98,1250,-349) (5/18,7/25) -> (7/25,9/32) Parabolic Matrix(447,-130,1090,-317) (2/7,7/24) -> (9/22,16/39) Hyperbolic Matrix(841,-246,694,-203) (7/24,5/17) -> (23/19,17/14) Hyperbolic Matrix(889,-262,1286,-379) (5/17,13/44) -> (29/42,9/13) Hyperbolic Matrix(2915,-862,3358,-993) (13/44,21/71) -> (13/15,33/38) Hyperbolic Matrix(3853,-1140,10420,-3083) (21/71,8/27) -> (44/119,27/73) Hyperbolic Matrix(2123,-630,246,-73) (8/27,19/64) -> (17/2,26/3) Hyperbolic Matrix(245,-74,394,-119) (3/10,4/13) -> (18/29,5/8) Hyperbolic Matrix(1027,-318,830,-257) (4/13,9/29) -> (21/17,26/21) Hyperbolic Matrix(1661,-516,1220,-379) (9/29,5/16) -> (49/36,15/11) Hyperbolic Matrix(877,-276,340,-107) (5/16,1/3) -> (49/19,31/12) Hyperbolic Matrix(853,-300,236,-83) (1/3,6/17) -> (18/5,47/13) Hyperbolic Matrix(899,-318,2174,-769) (6/17,11/31) -> (31/75,12/29) Hyperbolic Matrix(1701,-604,1180,-419) (11/31,5/14) -> (49/34,13/9) Hyperbolic Matrix(329,-118,566,-203) (5/14,4/11) -> (18/31,7/12) Hyperbolic Matrix(4403,-1612,844,-309) (15/41,26/71) -> (26/5,47/9) Hyperbolic Matrix(2059,-756,4916,-1805) (11/30,18/49) -> (18/43,31/74) Hyperbolic Matrix(1403,-516,1732,-637) (18/49,7/19) -> (17/21,30/37) Hyperbolic Matrix(3553,-1310,1310,-483) (7/19,31/84) -> (103/38,19/7) Hyperbolic Matrix(13649,-5038,7854,-2899) (31/84,24/65) -> (106/61,73/42) Hyperbolic Matrix(11263,-4160,8320,-3073) (24/65,41/111) -> (23/17,88/65) Hyperbolic Matrix(7757,-2868,9204,-3403) (17/46,44/119) -> (16/19,59/70) Hyperbolic Matrix(11907,-4414,5182,-1921) (10/27,33/89) -> (85/37,108/47) Hyperbolic Matrix(10177,-3774,2942,-1091) (33/89,23/62) -> (83/24,45/13) Hyperbolic Matrix(3713,-1406,1022,-387) (14/37,11/29) -> (69/19,40/11) Hyperbolic Matrix(3293,-1252,2596,-987) (19/50,8/21) -> (52/41,33/26) Hyperbolic Matrix(555,-212,788,-301) (8/21,5/13) -> (19/27,12/17) Hyperbolic Matrix(10249,-3958,6326,-2443) (22/57,17/44) -> (81/50,128/79) Hyperbolic Matrix(3139,-1214,830,-321) (17/44,12/31) -> (34/9,53/14) Hyperbolic Matrix(877,-340,276,-107) (12/31,7/18) -> (19/6,16/5) Hyperbolic Matrix(415,-162,1058,-413) (7/18,9/23) -> (9/23,11/28) Parabolic Matrix(1137,-464,272,-111) (11/27,9/22) -> (25/6,21/5) Hyperbolic Matrix(16607,-6816,10528,-4321) (16/39,39/95) -> (153/97,112/71) Hyperbolic Matrix(19329,-7936,7168,-2943) (39/95,23/56) -> (151/56,89/33) Hyperbolic Matrix(953,-392,2312,-951) (23/56,7/17) -> (7/17,33/80) Parabolic Matrix(7929,-3272,3080,-1271) (33/80,26/63) -> (18/7,103/40) Hyperbolic Matrix(7203,-2974,1630,-673) (26/63,19/46) -> (53/12,84/19) Hyperbolic Matrix(10553,-4360,1992,-823) (19/46,50/121) -> (90/17,53/10) Hyperbolic Matrix(12001,-4960,4256,-1759) (50/121,31/75) -> (31/11,110/39) Hyperbolic Matrix(7421,-3076,3076,-1275) (29/70,17/41) -> (41/17,111/46) Hyperbolic Matrix(4917,-2060,3788,-1587) (31/74,13/31) -> (61/47,13/10) Hyperbolic Matrix(4055,-1704,2344,-985) (21/50,8/19) -> (64/37,45/26) Hyperbolic Matrix(315,-134,134,-57) (8/19,3/7) -> (7/3,26/11) Hyperbolic Matrix(1115,-484,804,-349) (3/7,10/23) -> (18/13,43/31) Hyperbolic Matrix(2943,-1282,2050,-893) (10/23,17/39) -> (33/23,56/39) Hyperbolic Matrix(3023,-1328,2224,-977) (18/41,11/25) -> (53/39,34/25) Hyperbolic Matrix(267,-118,310,-137) (11/25,4/9) -> (6/7,13/15) Hyperbolic Matrix(1105,-496,176,-79) (13/29,9/20) -> (25/4,19/3) Hyperbolic Matrix(221,-100,484,-219) (9/20,5/11) -> (5/11,11/24) Parabolic Matrix(4519,-2074,1754,-805) (11/24,17/37) -> (85/33,67/26) Hyperbolic Matrix(2273,-1056,480,-223) (13/28,7/15) -> (71/15,19/4) Hyperbolic Matrix(695,-328,392,-185) (7/15,1/2) -> (39/22,55/31) Hyperbolic Matrix(1263,-656,464,-241) (1/2,10/19) -> (166/61,49/18) Hyperbolic Matrix(1583,-850,2706,-1453) (15/28,7/13) -> (31/53,55/94) Hyperbolic Matrix(873,-472,664,-359) (7/13,13/24) -> (21/16,25/19) Hyperbolic Matrix(1945,-1064,744,-407) (6/11,17/31) -> (81/31,34/13) Hyperbolic Matrix(8099,-4444,3100,-1701) (17/31,28/51) -> (128/49,81/31) Hyperbolic Matrix(369,-206,206,-115) (5/9,9/16) -> (25/14,9/5) Hyperbolic Matrix(695,-392,328,-185) (9/16,22/39) -> (2/1,17/8) Hyperbolic Matrix(981,-554,1514,-855) (22/39,13/23) -> (11/17,24/37) Hyperbolic Matrix(3433,-1942,5846,-3307) (13/23,30/53) -> (64/109,37/63) Hyperbolic Matrix(691,-398,974,-561) (4/7,15/26) -> (17/24,22/31) Hyperbolic Matrix(1419,-820,244,-141) (26/45,11/19) -> (29/5,6/1) Hyperbolic Matrix(1459,-846,526,-305) (11/19,18/31) -> (36/13,25/9) Hyperbolic Matrix(3797,-2220,2988,-1747) (7/12,31/53) -> (47/37,61/48) Hyperbolic Matrix(9931,-5812,2100,-1229) (55/94,24/41) -> (52/11,123/26) Hyperbolic Matrix(8517,-4988,2300,-1347) (24/41,41/70) -> (37/10,100/27) Hyperbolic Matrix(3509,-2058,2058,-1207) (17/29,27/46) -> (75/44,29/17) Hyperbolic Matrix(2661,-1564,604,-355) (37/63,10/17) -> (22/5,75/17) Hyperbolic Matrix(121,-72,200,-119) (10/17,3/5) -> (3/5,14/23) Parabolic Matrix(2307,-1406,2942,-1793) (14/23,25/41) -> (29/37,40/51) Hyperbolic Matrix(6401,-3904,3776,-2303) (25/41,36/59) -> (100/59,39/23) Hyperbolic Matrix(8625,-5264,2384,-1455) (36/59,11/18) -> (123/34,76/21) Hyperbolic Matrix(7663,-4690,6034,-3693) (41/67,30/49) -> (80/63,47/37) Hyperbolic Matrix(12543,-7682,4802,-2941) (30/49,49/80) -> (47/18,128/49) Hyperbolic Matrix(2739,-1678,3214,-1969) (49/80,19/31) -> (23/27,29/34) Hyperbolic Matrix(3689,-2262,2262,-1387) (19/31,27/44) -> (75/46,31/19) Hyperbolic Matrix(5829,-3578,2618,-1607) (27/44,35/57) -> (69/31,49/22) Hyperbolic Matrix(2537,-1558,3926,-2411) (35/57,8/13) -> (42/65,11/17) Hyperbolic Matrix(911,-562,1266,-781) (8/13,21/34) -> (23/32,18/25) Hyperbolic Matrix(4745,-2934,5814,-3595) (34/55,47/76) -> (31/38,40/49) Hyperbolic Matrix(3835,-2372,4548,-2813) (47/76,13/21) -> (43/51,27/32) Hyperbolic Matrix(1423,-882,434,-269) (13/21,18/29) -> (36/11,23/7) Hyperbolic Matrix(983,-618,746,-469) (22/35,17/27) -> (25/19,4/3) Hyperbolic Matrix(10205,-6436,6436,-4059) (29/46,41/65) -> (65/41,111/70) Hyperbolic Matrix(2471,-1562,666,-421) (12/19,31/49) -> (63/17,26/7) Hyperbolic Matrix(9877,-6250,2666,-1687) (31/49,50/79) -> (100/27,63/17) Hyperbolic Matrix(4233,-2680,3448,-2183) (50/79,19/30) -> (27/22,70/57) Hyperbolic Matrix(2273,-1440,352,-223) (19/30,45/71) -> (45/7,13/2) Hyperbolic Matrix(3603,-2284,2860,-1813) (45/71,26/41) -> (34/27,29/23) Hyperbolic Matrix(3055,-1938,3602,-2285) (26/41,33/52) -> (39/46,28/33) Hyperbolic Matrix(429,-274,274,-175) (7/11,9/14) -> (25/16,11/7) Hyperbolic Matrix(12791,-8264,4744,-3065) (31/48,42/65) -> (62/23,151/56) Hyperbolic Matrix(2795,-1814,2134,-1385) (24/37,13/20) -> (55/42,38/29) Hyperbolic Matrix(155,-102,38,-25) (13/20,2/3) -> (4/1,25/6) Hyperbolic Matrix(495,-338,722,-493) (2/3,13/19) -> (13/19,24/35) Parabolic Matrix(1933,-1330,1138,-783) (11/16,31/45) -> (73/43,17/10) Hyperbolic Matrix(7123,-4908,4396,-3029) (31/45,20/29) -> (128/79,47/29) Hyperbolic Matrix(1701,-1180,604,-419) (9/13,25/36) -> (45/16,31/11) Hyperbolic Matrix(2417,-1680,528,-367) (25/36,16/23) -> (32/7,55/12) Hyperbolic Matrix(2943,-2050,1282,-893) (16/23,23/33) -> (39/17,62/27) Hyperbolic Matrix(827,-580,452,-317) (7/10,26/37) -> (42/23,11/6) Hyperbolic Matrix(9547,-6710,3382,-2377) (26/37,71/101) -> (127/45,48/17) Hyperbolic Matrix(899,-636,188,-133) (12/17,17/24) -> (19/4,24/5) Hyperbolic Matrix(6025,-4278,4342,-3083) (22/31,27/38) -> (111/80,68/49) Hyperbolic Matrix(3815,-2712,1048,-745) (27/38,5/7) -> (91/25,51/14) Hyperbolic Matrix(4247,-3048,1640,-1177) (5/7,28/39) -> (44/17,101/39) Hyperbolic Matrix(18401,-13216,11360,-8159) (28/39,51/71) -> (115/71,196/121) Hyperbolic Matrix(12403,-8910,2830,-2033) (51/71,23/32) -> (149/34,57/13) Hyperbolic Matrix(1115,-804,484,-349) (18/25,13/18) -> (23/10,30/13) Hyperbolic Matrix(2117,-1530,1338,-967) (13/18,34/47) -> (68/43,19/12) Hyperbolic Matrix(555,-406,406,-297) (8/11,11/15) -> (15/11,26/19) Hyperbolic Matrix(1661,-1220,516,-379) (11/15,25/34) -> (45/14,29/9) Hyperbolic Matrix(3023,-2224,1328,-977) (25/34,14/19) -> (66/29,41/18) Hyperbolic Matrix(13549,-10004,3092,-2283) (31/42,48/65) -> (92/21,149/34) Hyperbolic Matrix(4859,-3590,1030,-761) (48/65,17/23) -> (33/7,118/25) Hyperbolic Matrix(873,-664,472,-359) (3/4,16/21) -> (24/13,37/20) Hyperbolic Matrix(3849,-2936,1016,-775) (16/21,29/38) -> (53/14,72/19) Hyperbolic Matrix(4501,-3436,2540,-1939) (29/38,13/17) -> (101/57,39/22) Hyperbolic Matrix(17383,-13336,10648,-8169) (56/73,33/43) -> (191/117,80/49) Hyperbolic Matrix(253,-196,324,-251) (10/13,7/9) -> (7/9,18/23) Parabolic Matrix(4307,-3372,1580,-1237) (18/23,47/60) -> (109/40,30/11) Hyperbolic Matrix(467,-366,430,-337) (47/60,29/37) -> (1/1,11/10) Hyperbolic Matrix(3335,-2616,2296,-1801) (40/51,11/14) -> (61/42,16/11) Hyperbolic Matrix(3797,-2988,2220,-1747) (11/14,37/47) -> (53/31,65/38) Hyperbolic Matrix(7663,-6034,4690,-3693) (37/47,26/33) -> (116/71,67/41) Hyperbolic Matrix(967,-762,250,-197) (26/33,15/19) -> (27/7,4/1) Hyperbolic Matrix(3603,-2860,2284,-1813) (23/29,4/5) -> (112/71,71/45) Hyperbolic Matrix(283,-228,36,-29) (4/5,17/21) -> (23/3,8/1) Hyperbolic Matrix(883,-716,460,-373) (30/37,43/53) -> (21/11,2/1) Hyperbolic Matrix(1343,-1090,706,-573) (43/53,13/16) -> (19/10,21/11) Hyperbolic Matrix(2963,-2412,812,-661) (35/43,22/27) -> (62/17,11/3) Hyperbolic Matrix(5359,-4368,1552,-1265) (22/27,53/65) -> (107/31,38/11) Hyperbolic Matrix(9165,-7474,7474,-6095) (53/65,31/38) -> (103/84,65/53) Hyperbolic Matrix(597,-490,106,-87) (9/11,14/17) -> (28/5,17/3) Hyperbolic Matrix(841,-694,246,-203) (14/17,5/6) -> (41/12,24/7) Hyperbolic Matrix(20071,-16920,4376,-3689) (59/70,43/51) -> (133/29,211/46) Hyperbolic Matrix(1799,-1528,312,-265) (28/33,17/20) -> (23/4,52/9) Hyperbolic Matrix(415,-354,34,-29) (29/34,6/7) -> (12/1,1/0) Hyperbolic Matrix(5539,-4828,3420,-2981) (27/31,7/8) -> (149/92,115/71) Hyperbolic Matrix(511,-450,578,-509) (7/8,15/17) -> (15/17,23/26) Parabolic Matrix(473,-422,102,-91) (8/9,1/1) -> (51/11,14/3) Hyperbolic Matrix(511,-578,450,-509) (9/8,17/15) -> (17/15,25/22) Parabolic Matrix(267,-310,118,-137) (8/7,7/6) -> (9/4,34/15) Hyperbolic Matrix(2739,-3214,1678,-1969) (7/6,27/23) -> (31/19,111/68) Hyperbolic Matrix(3203,-3772,1852,-2181) (20/17,33/28) -> (83/48,64/37) Hyperbolic Matrix(3055,-3602,1938,-2285) (33/28,13/11) -> (93/59,41/26) Hyperbolic Matrix(3835,-4548,2372,-2813) (32/27,19/16) -> (97/60,76/47) Hyperbolic Matrix(1187,-1436,348,-421) (6/5,23/19) -> (17/5,58/17) Hyperbolic Matrix(1669,-2044,316,-387) (11/9,38/31) -> (58/11,37/7) Hyperbolic Matrix(25647,-31442,15698,-19245) (38/31,141/115) -> (397/243,116/71) Hyperbolic Matrix(65663,-80512,40192,-49281) (141/115,103/84) -> (281/172,397/243) Hyperbolic Matrix(7329,-8990,2846,-3491) (65/53,27/22) -> (103/40,85/33) Hyperbolic Matrix(1403,-1732,516,-637) (16/13,21/17) -> (19/7,68/25) Hyperbolic Matrix(397,-498,114,-143) (5/4,34/27) -> (52/15,7/2) Hyperbolic Matrix(8101,-10268,4572,-5795) (19/15,71/56) -> (163/92,101/57) Hyperbolic Matrix(9341,-11844,2116,-2683) (71/56,52/41) -> (128/29,53/12) Hyperbolic Matrix(29299,-37198,17934,-22769) (33/26,113/89) -> (165/101,281/172) Hyperbolic Matrix(4483,-5692,508,-645) (113/89,80/63) -> (44/5,9/1) Hyperbolic Matrix(253,-324,196,-251) (14/11,9/7) -> (9/7,22/17) Parabolic Matrix(2175,-2818,1282,-1661) (22/17,35/27) -> (39/23,56/33) Hyperbolic Matrix(4263,-5528,920,-1193) (35/27,48/37) -> (88/19,51/11) Hyperbolic Matrix(5599,-7266,1058,-1373) (48/37,61/47) -> (37/7,90/17) Hyperbolic Matrix(583,-760,56,-73) (43/33,30/23) -> (10/1,11/1) Hyperbolic Matrix(2135,-2794,554,-725) (17/13,55/42) -> (77/20,27/7) Hyperbolic Matrix(2409,-3160,664,-871) (38/29,21/16) -> (29/8,98/27) Hyperbolic Matrix(19249,-26062,5710,-7731) (88/65,65/48) -> (209/62,118/35) Hyperbolic Matrix(6251,-8468,3860,-5229) (65/48,42/31) -> (34/21,149/92) Hyperbolic Matrix(4531,-6156,3148,-4277) (19/14,53/39) -> (59/41,95/66) Hyperbolic Matrix(1999,-2738,1458,-1997) (26/19,37/27) -> (37/27,48/35) Parabolic Matrix(403,-556,108,-149) (11/8,18/13) -> (26/7,15/4) Hyperbolic Matrix(2091,-2902,214,-297) (68/49,93/67) -> (29/3,10/1) Hyperbolic Matrix(1795,-2492,188,-261) (93/67,25/18) -> (19/2,29/3) Hyperbolic Matrix(911,-1266,562,-781) (25/18,7/5) -> (47/29,13/8) Hyperbolic Matrix(691,-974,398,-561) (7/5,24/17) -> (26/15,33/19) Hyperbolic Matrix(901,-1274,186,-263) (41/29,17/12) -> (29/6,5/1) Hyperbolic Matrix(555,-788,212,-301) (17/12,10/7) -> (34/13,21/8) Hyperbolic Matrix(1553,-2224,368,-527) (10/7,43/30) -> (59/14,38/9) Hyperbolic Matrix(9851,-14148,3652,-5245) (56/39,79/55) -> (89/33,116/43) Hyperbolic Matrix(5457,-7856,944,-1359) (95/66,36/25) -> (52/9,81/14) Hyperbolic Matrix(889,-1286,262,-379) (13/9,29/20) -> (61/18,17/5) Hyperbolic Matrix(3787,-5494,1462,-2121) (29/20,45/31) -> (101/39,57/22) Hyperbolic Matrix(7883,-11446,2166,-3145) (45/31,61/42) -> (131/36,91/25) Hyperbolic Matrix(495,-722,338,-493) (16/11,19/13) -> (19/13,22/15) Parabolic Matrix(681,-1046,278,-427) (3/2,20/13) -> (22/9,49/20) Hyperbolic Matrix(981,-1514,554,-855) (20/13,17/11) -> (23/13,62/35) Hyperbolic Matrix(2537,-3926,1558,-2411) (17/11,48/31) -> (70/43,57/35) Hyperbolic Matrix(1951,-3042,1250,-1949) (14/9,39/25) -> (39/25,64/41) Parabolic Matrix(10579,-16686,3054,-4817) (41/26,153/97) -> (45/13,97/28) Hyperbolic Matrix(25471,-40192,5760,-9089) (71/45,172/109) -> (84/19,199/45) Hyperbolic Matrix(4069,-6428,1116,-1763) (30/19,79/50) -> (51/14,62/17) Hyperbolic Matrix(6821,-10778,3994,-6311) (79/50,49/31) -> (111/65,41/24) Hyperbolic Matrix(6943,-10978,4066,-6429) (49/31,68/43) -> (70/41,111/65) Hyperbolic Matrix(10989,-17426,3218,-5103) (111/70,46/29) -> (140/41,41/12) Hyperbolic Matrix(915,-1454,494,-785) (27/17,35/22) -> (37/20,13/7) Hyperbolic Matrix(245,-394,74,-119) (8/5,21/13) -> (23/7,10/3) Hyperbolic Matrix(7851,-12692,2324,-3757) (21/13,97/60) -> (27/8,125/37) Hyperbolic Matrix(2959,-4786,562,-909) (76/47,55/34) -> (21/4,58/11) Hyperbolic Matrix(26921,-43608,7768,-12583) (196/121,277/171) -> (149/43,52/15) Hyperbolic Matrix(24037,-38938,6938,-11239) (277/171,81/50) -> (97/28,149/43) Hyperbolic Matrix(3873,-6304,1120,-1823) (13/8,70/43) -> (38/11,83/24) Hyperbolic Matrix(1047,-1706,170,-277) (57/35,44/27) -> (6/1,31/5) Hyperbolic Matrix(17375,-28322,10658,-17373) (44/27,119/73) -> (119/73,194/119) Parabolic Matrix(26987,-44054,6102,-9961) (111/68,191/117) -> (199/45,115/26) Hyperbolic Matrix(4837,-7898,2650,-4327) (80/49,49/30) -> (73/40,42/23) Hyperbolic Matrix(23839,-38944,7072,-11553) (49/30,165/101) -> (91/27,209/62) Hyperbolic Matrix(121,-200,72,-119) (18/11,5/3) -> (5/3,22/13) Parabolic Matrix(1117,-1892,356,-603) (22/13,61/36) -> (25/8,22/7) Hyperbolic Matrix(30591,-51842,18050,-30589) (61/36,161/95) -> (161/95,261/154) Parabolic Matrix(5647,-9586,3250,-5517) (56/33,73/43) -> (33/19,106/61) Hyperbolic Matrix(3529,-6008,568,-967) (80/47,63/37) -> (31/5,56/9) Hyperbolic Matrix(971,-1654,118,-201) (63/37,46/27) -> (8/1,25/3) Hyperbolic Matrix(17183,-29282,10082,-17181) (46/27,121/71) -> (121/71,196/115) Parabolic Matrix(1583,-2706,850,-1453) (41/24,53/31) -> (13/7,41/22) Hyperbolic Matrix(329,-566,118,-203) (12/7,19/11) -> (25/9,14/5) Hyperbolic Matrix(6989,-12084,1524,-2635) (19/11,83/48) -> (55/12,133/29) Hyperbolic Matrix(1027,-1788,444,-773) (40/23,7/4) -> (37/16,44/19) Hyperbolic Matrix(2175,-3842,578,-1021) (30/17,53/30) -> (15/4,64/17) Hyperbolic Matrix(971,-1716,116,-205) (53/30,23/13) -> (25/3,17/2) Hyperbolic Matrix(20021,-35468,4364,-7731) (62/35,225/127) -> (289/63,78/17) Hyperbolic Matrix(53385,-94582,11638,-20619) (225/127,163/92) -> (211/46,289/63) Hyperbolic Matrix(1887,-3362,1058,-1885) (16/9,41/23) -> (41/23,66/37) Parabolic Matrix(2109,-3844,1156,-2107) (51/28,31/17) -> (31/17,73/40) Parabolic Matrix(1921,-3582,894,-1667) (41/22,28/15) -> (58/27,43/20) Hyperbolic Matrix(1517,-2834,402,-751) (28/15,15/8) -> (83/22,34/9) Hyperbolic Matrix(3275,-7028,692,-1485) (15/7,58/27) -> (194/41,71/15) Hyperbolic Matrix(221,-484,100,-219) (13/6,11/5) -> (11/5,31/14) Parabolic Matrix(2209,-4894,478,-1059) (31/14,51/23) -> (97/21,37/8) Hyperbolic Matrix(875,-1942,278,-617) (51/23,20/9) -> (22/7,41/13) Hyperbolic Matrix(4643,-10332,1052,-2341) (20/9,69/31) -> (75/17,128/29) Hyperbolic Matrix(2917,-6618,666,-1511) (34/15,59/26) -> (35/8,92/21) Hyperbolic Matrix(3111,-7064,920,-2089) (59/26,25/11) -> (71/21,115/34) Hyperbolic Matrix(1525,-3468,332,-755) (25/11,66/29) -> (78/17,23/5) Hyperbolic Matrix(3887,-8978,1682,-3885) (30/13,67/29) -> (67/29,104/45) Parabolic Matrix(1711,-4050,722,-1709) (26/11,45/19) -> (45/19,64/27) Parabolic Matrix(435,-1036,76,-181) (19/8,31/13) -> (17/3,23/4) Hyperbolic Matrix(2059,-4916,756,-1805) (31/13,43/18) -> (49/18,79/29) Hyperbolic Matrix(4613,-11132,956,-2307) (111/46,70/29) -> (82/17,29/6) Hyperbolic Matrix(899,-2174,318,-769) (29/12,46/19) -> (48/17,17/6) Hyperbolic Matrix(8771,-21246,1982,-4801) (109/45,172/71) -> (146/33,31/7) Hyperbolic Matrix(1945,-4712,168,-407) (172/71,63/26) -> (23/2,12/1) Hyperbolic Matrix(1289,-3126,374,-907) (63/26,17/7) -> (31/9,69/20) Hyperbolic Matrix(447,-1090,130,-317) (17/7,22/9) -> (24/7,31/9) Hyperbolic Matrix(415,-1058,162,-413) (5/2,23/9) -> (23/9,41/16) Parabolic Matrix(3559,-9176,984,-2537) (67/26,49/19) -> (47/13,123/34) Hyperbolic Matrix(4015,-10386,1106,-2861) (75/29,44/17) -> (98/27,69/19) Hyperbolic Matrix(1507,-3932,284,-741) (60/23,47/18) -> (53/10,16/3) Hyperbolic Matrix(405,-1066,106,-279) (21/8,29/11) -> (19/5,23/6) Hyperbolic Matrix(1267,-3342,334,-881) (29/11,66/25) -> (72/19,19/5) Hyperbolic Matrix(2471,-6680,536,-1449) (27/10,73/27) -> (23/5,83/18) Hyperbolic Matrix(3853,-10420,1140,-3083) (73/27,46/17) -> (98/29,71/21) Hyperbolic Matrix(2693,-7290,570,-1543) (46/17,65/24) -> (85/18,52/11) Hyperbolic Matrix(5021,-13604,1380,-3739) (65/24,84/31) -> (40/11,131/36) Hyperbolic Matrix(18165,-49226,4106,-11127) (84/31,187/69) -> (261/59,146/33) Hyperbolic Matrix(17853,-48388,4036,-10939) (187/69,103/38) -> (115/26,261/59) Hyperbolic Matrix(10063,-27378,3698,-10061) (68/25,117/43) -> (117/43,166/61) Parabolic Matrix(7371,-20084,2612,-7117) (79/29,109/40) -> (79/28,127/45) Hyperbolic Matrix(223,-610,34,-93) (30/11,11/4) -> (13/2,20/3) Hyperbolic Matrix(1599,-4418,578,-1597) (11/4,47/17) -> (47/17,83/30) Parabolic Matrix(25361,-71536,5360,-15119) (110/39,189/67) -> (317/67,194/41) Hyperbolic Matrix(17117,-48290,3618,-10207) (189/67,79/28) -> (123/26,317/67) Hyperbolic Matrix(729,-2086,166,-475) (20/7,23/8) -> (79/18,22/5) Hyperbolic Matrix(49,-144,16,-47) (23/8,3/1) -> (3/1,25/8) Parabolic Matrix(1539,-4862,446,-1409) (41/13,19/6) -> (69/20,107/31) Hyperbolic Matrix(227,-734,30,-97) (29/9,13/4) -> (15/2,23/3) Hyperbolic Matrix(1471,-4802,450,-1469) (13/4,49/15) -> (49/15,85/26) Parabolic Matrix(4911,-16592,848,-2865) (125/37,98/29) -> (110/19,29/5) Hyperbolic Matrix(5743,-19602,1682,-5741) (58/17,99/29) -> (99/29,140/41) Parabolic Matrix(351,-1250,98,-349) (7/2,25/7) -> (25/7,43/12) Parabolic Matrix(859,-3110,166,-601) (76/21,29/8) -> (31/6,26/5) Hyperbolic Matrix(661,-2538,106,-407) (23/6,50/13) -> (56/9,25/4) Hyperbolic Matrix(6113,-23520,1056,-4063) (50/13,127/33) -> (191/33,110/19) Hyperbolic Matrix(6493,-24994,1122,-4319) (127/33,77/20) -> (81/14,191/33) Hyperbolic Matrix(157,-676,36,-155) (17/4,13/3) -> (13/3,35/8) Parabolic Matrix(1667,-7870,190,-897) (118/25,85/18) -> (35/4,44/5) Hyperbolic Matrix(1167,-5618,242,-1165) (24/5,53/11) -> (53/11,82/17) Parabolic Matrix(271,-1458,50,-269) (16/3,27/5) -> (27/5,38/7) Parabolic Matrix(293,-1882,26,-167) (77/12,45/7) -> (11/1,23/2) Hyperbolic Matrix(57,-392,8,-55) (27/4,7/1) -> (7/1,29/4) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,2,1) Matrix(2195,1042,1582,751) -> Matrix(1,0,0,1) Matrix(2789,1316,604,285) -> Matrix(1,0,-2,1) Matrix(841,394,1206,565) -> Matrix(5,-4,-6,5) Matrix(1917,892,836,389) -> Matrix(5,-6,-4,5) Matrix(2025,938,598,277) -> Matrix(1,-2,2,-3) Matrix(593,272,944,433) -> Matrix(1,-2,0,1) Matrix(1297,594,238,109) -> Matrix(1,-6,0,1) Matrix(2827,1292,1652,755) -> Matrix(1,2,0,1) Matrix(3887,1774,2706,1235) -> Matrix(1,0,0,1) Matrix(1403,634,582,263) -> Matrix(3,-2,2,-1) Matrix(817,368,464,209) -> Matrix(3,-2,2,-1) Matrix(347,156,932,419) -> Matrix(1,0,-2,1) Matrix(1161,520,3128,1401) -> Matrix(13,-14,-12,13) Matrix(1733,774,1274,569) -> Matrix(1,-2,2,-3) Matrix(1493,660,1260,557) -> Matrix(1,-2,0,1) Matrix(9397,4150,5962,2633) -> Matrix(1,-4,0,1) Matrix(5841,2578,1262,557) -> Matrix(1,-2,-2,5) Matrix(1031,454,570,251) -> Matrix(1,0,0,1) Matrix(1943,854,2282,1003) -> Matrix(1,-4,0,1) Matrix(683,300,-3308,-1453) -> Matrix(1,-2,0,1) Matrix(2051,900,572,251) -> Matrix(1,-12,0,1) Matrix(1929,842,2614,1141) -> Matrix(1,2,-2,-3) Matrix(2723,1188,4316,1883) -> Matrix(1,2,0,1) Matrix(455,198,1018,443) -> Matrix(1,0,0,1) Matrix(907,394,-2378,-1033) -> Matrix(1,0,2,1) Matrix(453,196,1916,829) -> Matrix(9,-4,-2,1) Matrix(787,340,-3604,-1557) -> Matrix(7,-6,6,-5) Matrix(555,236,-3116,-1325) -> Matrix(3,-2,2,-1) Matrix(669,284,1444,613) -> Matrix(3,-4,-2,3) Matrix(1335,566,-3446,-1461) -> Matrix(1,-2,2,-3) Matrix(4321,1826,1886,797) -> Matrix(1,-4,0,1) Matrix(999,422,1882,795) -> Matrix(3,-8,-4,11) Matrix(223,94,994,419) -> Matrix(1,0,0,1) Matrix(661,278,554,233) -> Matrix(1,-2,0,1) Matrix(1877,788,-5076,-2131) -> Matrix(1,-2,-2,5) Matrix(1541,646,2426,1017) -> Matrix(1,-6,0,1) Matrix(659,276,-3412,-1429) -> Matrix(1,-6,0,1) Matrix(1979,828,772,323) -> Matrix(1,-16,0,1) Matrix(327,136,440,183) -> Matrix(1,0,-2,1) Matrix(1531,634,326,135) -> Matrix(1,2,-2,-3) Matrix(653,270,1202,497) -> Matrix(1,0,0,1) Matrix(325,134,-1414,-583) -> Matrix(1,0,0,1) Matrix(1957,804,-6628,-2723) -> Matrix(1,0,0,1) Matrix(2173,892,324,133) -> Matrix(5,-6,-4,5) Matrix(1517,622,978,401) -> Matrix(1,-2,0,1) Matrix(323,132,1084,443) -> Matrix(1,0,-2,1) Matrix(865,352,2912,1185) -> Matrix(1,-2,0,1) Matrix(1397,566,970,393) -> Matrix(1,0,0,1) Matrix(529,208,1264,497) -> Matrix(1,0,-2,1) Matrix(1159,454,314,123) -> Matrix(1,0,0,1) Matrix(527,206,-1998,-781) -> Matrix(1,0,2,1) Matrix(945,368,208,81) -> Matrix(1,2,-2,-3) Matrix(1361,528,1776,689) -> Matrix(1,0,-2,1) Matrix(1357,526,-6478,-2511) -> Matrix(9,2,4,1) Matrix(4903,1896,1880,727) -> Matrix(7,4,-2,-1) Matrix(5323,2058,-19722,-7625) -> Matrix(1,0,4,1) Matrix(12517,4838,2714,1049) -> Matrix(1,0,-2,1) Matrix(519,200,-1352,-521) -> Matrix(1,0,2,1) Matrix(7677,2942,-21374,-8191) -> Matrix(1,0,4,1) Matrix(9855,3776,-36416,-13953) -> Matrix(1,0,0,1) Matrix(6223,2384,-34960,-13393) -> Matrix(5,-4,4,-3) Matrix(3317,1270,2698,1033) -> Matrix(1,-2,0,1) Matrix(5911,2262,-21462,-8213) -> Matrix(1,0,2,1) Matrix(14721,5632,4352,1665) -> Matrix(1,0,-2,1) Matrix(1555,594,1966,751) -> Matrix(1,0,2,1) Matrix(1137,434,-6002,-2291) -> Matrix(1,0,4,1) Matrix(1757,668,1444,549) -> Matrix(1,0,-2,1) Matrix(2269,862,4130,1569) -> Matrix(7,-6,-8,7) Matrix(1033,392,2680,1017) -> Matrix(5,-6,-4,5) Matrix(723,274,-2578,-977) -> Matrix(1,0,0,1) Matrix(1645,622,722,273) -> Matrix(1,-2,0,1) Matrix(305,114,206,77) -> Matrix(1,-2,0,1) Matrix(1937,720,304,113) -> Matrix(3,8,-2,-5) Matrix(1525,566,714,265) -> Matrix(1,0,0,1) Matrix(205,76,1524,565) -> Matrix(1,4,0,1) Matrix(5893,2180,3452,1277) -> Matrix(3,2,4,3) Matrix(2437,900,5884,2173) -> Matrix(3,-2,-4,3) Matrix(2335,862,3042,1123) -> Matrix(1,0,-4,1) Matrix(1925,708,2428,893) -> Matrix(1,0,2,1) Matrix(1317,484,-5668,-2083) -> Matrix(1,0,0,1) Matrix(2021,742,1114,409) -> Matrix(1,4,0,1) Matrix(1109,406,-3734,-1367) -> Matrix(1,0,2,1) Matrix(203,74,502,183) -> Matrix(1,0,0,1) Matrix(1101,398,1906,689) -> Matrix(1,0,0,1) Matrix(899,324,-2500,-901) -> Matrix(1,0,10,1) Matrix(11685,4198,3098,1113) -> Matrix(13,-2,-6,1) Matrix(28363,10186,17974,6455) -> Matrix(19,-4,-14,3) Matrix(1295,464,2096,751) -> Matrix(1,0,-4,1) Matrix(3775,1344,896,319) -> Matrix(1,-2,0,1) Matrix(995,354,1886,671) -> Matrix(7,-6,-8,7) Matrix(3573,1270,2186,777) -> Matrix(1,-2,0,1) Matrix(1885,668,1188,421) -> Matrix(1,0,-2,1) Matrix(789,278,298,105) -> Matrix(1,-2,0,1) Matrix(1673,584,1080,377) -> Matrix(1,-2,0,1) Matrix(783,272,688,239) -> Matrix(1,-2,0,1) Matrix(1273,440,2248,777) -> Matrix(1,2,-2,-3) Matrix(1417,456,376,121) -> Matrix(5,-2,-2,1) Matrix(751,240,848,271) -> Matrix(3,-2,-4,3) Matrix(1029,326,1594,505) -> Matrix(1,-2,0,1) Matrix(281,88,744,233) -> Matrix(1,-2,0,1) Matrix(1113,346,1766,549) -> Matrix(1,0,0,1) Matrix(2041,632,3336,1033) -> Matrix(1,-2,0,1) Matrix(1759,544,928,287) -> Matrix(1,6,0,1) Matrix(2131,658,3054,943) -> Matrix(3,4,-4,-5) Matrix(1939,594,1198,367) -> Matrix(1,0,2,1) Matrix(643,196,-2116,-645) -> Matrix(1,0,10,1) Matrix(4225,1282,-15618,-4739) -> Matrix(1,0,-4,1) Matrix(1471,446,2754,835) -> Matrix(11,-2,-16,3) Matrix(1745,528,1008,305) -> Matrix(1,0,-2,1) Matrix(455,136,184,55) -> Matrix(1,0,-2,1) Matrix(3369,1000,2456,729) -> Matrix(3,-2,2,-1) Matrix(1001,296,1816,537) -> Matrix(5,-4,-6,5) Matrix(271,80,2544,751) -> Matrix(1,0,-2,1) Matrix(2177,642,1726,509) -> Matrix(1,0,-4,1) Matrix(2715,796,2084,611) -> Matrix(1,0,2,1) Matrix(5249,1538,2174,637) -> Matrix(1,2,0,1) Matrix(725,212,-3348,-979) -> Matrix(7,-2,4,-1) Matrix(1353,394,182,53) -> Matrix(5,-4,-6,5) Matrix(3521,1024,1984,577) -> Matrix(3,-2,2,-1) Matrix(269,78,1714,497) -> Matrix(11,-8,-4,3) Matrix(989,286,1442,417) -> Matrix(11,-10,-12,11) Matrix(625,176,1424,401) -> Matrix(1,-2,0,1) Matrix(3473,976,2224,625) -> Matrix(1,-2,0,1) Matrix(2309,646,890,249) -> Matrix(1,-6,0,1) Matrix(3553,992,1952,545) -> Matrix(1,6,0,1) Matrix(977,272,176,49) -> Matrix(1,-2,0,1) Matrix(267,74,-1418,-393) -> Matrix(1,0,2,1) Matrix(1679,464,1328,367) -> Matrix(1,0,-4,1) Matrix(2917,804,3356,925) -> Matrix(1,0,0,1) Matrix(31537,8688,19344,5329) -> Matrix(1,0,8,1) Matrix(2297,632,2824,777) -> Matrix(1,-2,0,1) Matrix(263,72,-968,-265) -> Matrix(1,0,2,1) Matrix(1315,356,-6756,-1829) -> Matrix(1,0,-2,1) Matrix(56513,15296,33344,9025) -> Matrix(3,-2,2,-1) Matrix(6753,1826,1054,285) -> Matrix(11,-4,-8,3) Matrix(2369,640,6400,1729) -> Matrix(3,-4,-2,3) Matrix(31825,8592,18672,5041) -> Matrix(1,0,6,1) Matrix(3329,898,4734,1277) -> Matrix(5,-2,-12,5) Matrix(439,118,-2102,-565) -> Matrix(1,2,0,1) Matrix(1485,398,1138,305) -> Matrix(1,0,0,1) Matrix(173,46,786,209) -> Matrix(3,-2,2,-1) Matrix(3569,944,2000,529) -> Matrix(3,-2,2,-1) Matrix(1129,296,1560,409) -> Matrix(5,-4,-6,5) Matrix(1037,270,434,113) -> Matrix(1,0,0,1) Matrix(1181,284,420,101) -> Matrix(3,-4,-2,3) Matrix(2269,542,674,161) -> Matrix(1,-2,0,1) Matrix(839,198,250,59) -> Matrix(1,0,0,1) Matrix(753,176,1168,273) -> Matrix(1,-2,0,1) Matrix(1253,292,3420,797) -> Matrix(3,-4,-2,3) Matrix(751,174,82,19) -> Matrix(1,0,0,1) Matrix(3737,856,1576,361) -> Matrix(1,0,6,1) Matrix(913,208,496,113) -> Matrix(1,0,-2,1) Matrix(247,56,1160,263) -> Matrix(3,-2,2,-1) Matrix(331,74,246,55) -> Matrix(1,0,0,1) Matrix(163,36,412,91) -> Matrix(3,-2,-4,3) Matrix(4997,1092,572,125) -> Matrix(5,-6,-4,5) Matrix(4505,984,-25304,-5527) -> Matrix(1,-2,2,-3) Matrix(1801,392,1144,249) -> Matrix(5,-6,-4,5) Matrix(1963,426,3350,727) -> Matrix(3,-4,-8,11) Matrix(409,88,488,105) -> Matrix(1,-2,0,1) Matrix(731,156,164,35) -> Matrix(1,0,-2,1) Matrix(1379,292,732,155) -> Matrix(5,-8,2,-3) Matrix(1381,292,3164,669) -> Matrix(3,-4,-2,3) Matrix(3809,800,1376,289) -> Matrix(27,-52,-14,27) Matrix(1049,218,486,101) -> Matrix(1,-4,0,1) Matrix(4997,1028,1852,381) -> Matrix(1,-8,0,1) Matrix(79,16,-400,-81) -> Matrix(1,-2,0,1) Matrix(5085,988,1508,293) -> Matrix(1,0,0,1) Matrix(1345,258,318,61) -> Matrix(5,4,-4,-3) Matrix(3873,736,1184,225) -> Matrix(1,0,14,1) Matrix(707,132,316,59) -> Matrix(1,0,-2,1) Matrix(2983,550,1882,347) -> Matrix(3,-2,-4,3) Matrix(1805,332,1332,245) -> Matrix(3,-2,2,-1) Matrix(155,28,548,99) -> Matrix(3,-2,-4,3) Matrix(13779,2452,5996,1067) -> Matrix(3,-4,-2,3) Matrix(1555,276,1324,235) -> Matrix(3,-4,-2,3) Matrix(387,68,700,123) -> Matrix(1,0,-2,1) Matrix(773,134,698,121) -> Matrix(1,-2,2,-3) Matrix(1703,294,2010,347) -> Matrix(1,-2,2,-3) Matrix(849,146,1006,173) -> Matrix(1,-2,0,1) Matrix(1221,196,380,61) -> Matrix(1,-4,-2,9) Matrix(2053,326,762,121) -> Matrix(1,-14,0,1) Matrix(607,94,226,35) -> Matrix(1,0,0,1) Matrix(301,46,530,81) -> Matrix(1,2,-2,-3) Matrix(375,56,904,135) -> Matrix(1,2,-2,-3) Matrix(2899,402,1262,175) -> Matrix(1,0,-2,1) Matrix(2077,286,1634,225) -> Matrix(1,0,-4,1) Matrix(221,30,1186,161) -> Matrix(5,-4,-6,5) Matrix(589,78,370,49) -> Matrix(1,-2,0,1) Matrix(653,78,946,113) -> Matrix(3,-8,-4,11) Matrix(505,58,1158,133) -> Matrix(1,-6,0,1) Matrix(717,76,500,53) -> Matrix(1,4,0,1) Matrix(423,40,920,87) -> Matrix(1,-2,0,1) Matrix(491,44,212,19) -> Matrix(1,0,-2,1) Matrix(583,-56,760,-73) -> Matrix(1,2,-4,-7) Matrix(1743,-178,754,-77) -> Matrix(3,4,-4,-5) Matrix(2123,-246,630,-73) -> Matrix(1,0,0,1) Matrix(971,-118,1654,-201) -> Matrix(1,0,0,1) Matrix(283,-36,228,-29) -> Matrix(1,0,-2,1) Matrix(1181,-162,226,-31) -> Matrix(1,-4,0,1) Matrix(223,-34,610,-93) -> Matrix(3,14,-2,-9) Matrix(2273,-352,1440,-223) -> Matrix(3,8,-2,-5) Matrix(1105,-176,496,-79) -> Matrix(1,2,0,1) Matrix(435,-76,1036,-181) -> Matrix(1,2,-4,-7) Matrix(597,-106,490,-87) -> Matrix(1,2,-2,-3) Matrix(271,-50,1458,-269) -> Matrix(9,10,-10,-11) Matrix(2801,-528,3984,-751) -> Matrix(7,4,-16,-9) Matrix(1669,-316,2044,-387) -> Matrix(1,0,2,1) Matrix(1181,-226,162,-31) -> Matrix(3,4,-4,-5) Matrix(1877,-364,428,-83) -> Matrix(5,6,-6,-7) Matrix(899,-188,636,-133) -> Matrix(1,0,-2,1) Matrix(2273,-480,1056,-223) -> Matrix(1,0,-2,1) Matrix(2693,-570,7290,-1543) -> Matrix(1,-2,0,1) Matrix(473,-102,422,-91) -> Matrix(1,0,0,1) Matrix(1211,-262,2630,-569) -> Matrix(1,-2,0,1) Matrix(2471,-536,6680,-1449) -> Matrix(3,-4,-2,3) Matrix(2417,-528,1680,-367) -> Matrix(1,0,0,1) Matrix(7203,-1630,2974,-673) -> Matrix(1,0,0,1) Matrix(2661,-604,1564,-355) -> Matrix(1,-4,0,1) Matrix(157,-36,676,-155) -> Matrix(1,-14,0,1) Matrix(1607,-376,312,-73) -> Matrix(1,8,0,1) Matrix(1399,-328,1608,-377) -> Matrix(1,6,0,1) Matrix(1553,-368,2224,-527) -> Matrix(3,10,-4,-13) Matrix(1137,-272,464,-111) -> Matrix(1,2,0,1) Matrix(405,-106,1066,-279) -> Matrix(1,0,0,1) Matrix(3139,-830,1214,-321) -> Matrix(9,14,-2,-3) Matrix(1517,-402,2834,-751) -> Matrix(3,4,-4,-5) Matrix(2175,-578,3842,-1021) -> Matrix(3,4,-4,-5) Matrix(403,-108,556,-149) -> Matrix(3,4,-4,-5) Matrix(2963,-812,2412,-661) -> Matrix(5,8,-2,-3) Matrix(5323,-1462,3062,-841) -> Matrix(3,4,8,11) Matrix(3713,-1022,1406,-387) -> Matrix(1,2,-2,-3) Matrix(853,-236,300,-83) -> Matrix(1,2,-2,-3) Matrix(351,-98,1250,-349) -> Matrix(13,14,-14,-15) Matrix(447,-130,1090,-317) -> Matrix(3,2,-2,-1) Matrix(841,-246,694,-203) -> Matrix(3,2,-2,-1) Matrix(889,-262,1286,-379) -> Matrix(1,2,-2,-3) Matrix(2915,-862,3358,-993) -> Matrix(1,0,0,1) Matrix(3853,-1140,10420,-3083) -> Matrix(5,4,-4,-3) Matrix(2123,-630,246,-73) -> Matrix(1,0,0,1) Matrix(245,-74,394,-119) -> Matrix(1,0,2,1) Matrix(1027,-318,830,-257) -> Matrix(3,-2,-4,3) Matrix(1661,-516,1220,-379) -> Matrix(3,-2,2,-1) Matrix(877,-276,340,-107) -> Matrix(1,-6,0,1) Matrix(853,-300,236,-83) -> Matrix(1,-2,0,1) Matrix(899,-318,2174,-769) -> Matrix(3,10,-4,-13) Matrix(1701,-604,1180,-419) -> Matrix(1,4,0,1) Matrix(329,-118,566,-203) -> Matrix(1,2,0,1) Matrix(4403,-1612,844,-309) -> Matrix(3,4,2,3) Matrix(2059,-756,4916,-1805) -> Matrix(5,8,-12,-19) Matrix(1403,-516,1732,-637) -> Matrix(7,10,2,3) Matrix(3553,-1310,1310,-483) -> Matrix(5,8,-2,-3) Matrix(13649,-5038,7854,-2899) -> Matrix(3,4,2,3) Matrix(11263,-4160,8320,-3073) -> Matrix(9,10,8,9) Matrix(7757,-2868,9204,-3403) -> Matrix(3,4,-4,-5) Matrix(11907,-4414,5182,-1921) -> Matrix(5,6,-6,-7) Matrix(10177,-3774,2942,-1091) -> Matrix(5,6,-6,-7) Matrix(3713,-1406,1022,-387) -> Matrix(1,-2,0,1) Matrix(3293,-1252,2596,-987) -> Matrix(1,2,-4,-7) Matrix(555,-212,788,-301) -> Matrix(1,2,-4,-7) Matrix(10249,-3958,6326,-2443) -> Matrix(3,4,2,3) Matrix(3139,-1214,830,-321) -> Matrix(11,14,-4,-5) Matrix(877,-340,276,-107) -> Matrix(5,6,-6,-7) Matrix(415,-162,1058,-413) -> Matrix(17,18,-18,-19) Matrix(1137,-464,272,-111) -> Matrix(3,2,-2,-1) Matrix(16607,-6816,10528,-4321) -> Matrix(1,0,0,1) Matrix(19329,-7936,7168,-2943) -> Matrix(13,20,-2,-3) Matrix(953,-392,2312,-951) -> Matrix(9,10,-10,-11) Matrix(7929,-3272,3080,-1271) -> Matrix(43,36,-6,-5) Matrix(7203,-2974,1630,-673) -> Matrix(1,0,0,1) Matrix(10553,-4360,1992,-823) -> Matrix(5,4,6,5) Matrix(12001,-4960,4256,-1759) -> Matrix(7,6,-6,-5) Matrix(7421,-3076,3076,-1275) -> Matrix(13,8,8,5) Matrix(4917,-2060,3788,-1587) -> Matrix(5,2,22,9) Matrix(4055,-1704,2344,-985) -> Matrix(1,0,4,1) Matrix(315,-134,134,-57) -> Matrix(1,0,0,1) Matrix(1115,-484,804,-349) -> Matrix(1,0,0,1) Matrix(2943,-1282,2050,-893) -> Matrix(1,0,0,1) Matrix(3023,-1328,2224,-977) -> Matrix(1,2,0,1) Matrix(267,-118,310,-137) -> Matrix(1,0,0,1) Matrix(1105,-496,176,-79) -> Matrix(3,2,-2,-1) Matrix(221,-100,484,-219) -> Matrix(1,-2,0,1) Matrix(4519,-2074,1754,-805) -> Matrix(1,-4,0,1) Matrix(2273,-1056,480,-223) -> Matrix(1,0,-2,1) Matrix(695,-328,392,-185) -> Matrix(1,2,0,1) Matrix(1263,-656,464,-241) -> Matrix(11,14,-4,-5) Matrix(1583,-850,2706,-1453) -> Matrix(1,0,0,1) Matrix(873,-472,664,-359) -> Matrix(1,0,4,1) Matrix(1945,-1064,744,-407) -> Matrix(11,14,-4,-5) Matrix(8099,-4444,3100,-1701) -> Matrix(67,64,-22,-21) Matrix(369,-206,206,-115) -> Matrix(1,0,2,1) Matrix(695,-392,328,-185) -> Matrix(3,2,-2,-1) Matrix(981,-554,1514,-855) -> Matrix(3,2,-2,-1) Matrix(3433,-1942,5846,-3307) -> Matrix(3,2,-2,-1) Matrix(691,-398,974,-561) -> Matrix(1,0,2,1) Matrix(1419,-820,244,-141) -> Matrix(3,2,-2,-1) Matrix(1459,-846,526,-305) -> Matrix(11,2,-6,-1) Matrix(3797,-2220,2988,-1747) -> Matrix(3,2,-8,-5) Matrix(9931,-5812,2100,-1229) -> Matrix(7,4,-16,-9) Matrix(8517,-4988,2300,-1347) -> Matrix(13,6,2,1) Matrix(3509,-2058,2058,-1207) -> Matrix(1,0,4,1) Matrix(2661,-1564,604,-355) -> Matrix(3,4,-4,-5) Matrix(121,-72,200,-119) -> Matrix(1,0,2,1) Matrix(2307,-1406,2942,-1793) -> Matrix(1,0,4,1) Matrix(6401,-3904,3776,-2303) -> Matrix(1,0,0,1) Matrix(8625,-5264,2384,-1455) -> Matrix(1,-4,0,1) Matrix(7663,-4690,6034,-3693) -> Matrix(1,2,-2,-3) Matrix(12543,-7682,4802,-2941) -> Matrix(25,22,-8,-7) Matrix(2739,-1678,3214,-1969) -> Matrix(3,2,-2,-1) Matrix(3689,-2262,2262,-1387) -> Matrix(1,0,2,1) Matrix(5829,-3578,2618,-1607) -> Matrix(1,0,-2,1) Matrix(2537,-1558,3926,-2411) -> Matrix(1,-2,0,1) Matrix(911,-562,1266,-781) -> Matrix(1,0,0,1) Matrix(4745,-2934,5814,-3595) -> Matrix(1,0,2,1) Matrix(3835,-2372,4548,-2813) -> Matrix(1,0,0,1) Matrix(1423,-882,434,-269) -> Matrix(1,0,4,1) Matrix(983,-618,746,-469) -> Matrix(1,0,2,1) Matrix(10205,-6436,6436,-4059) -> Matrix(1,0,-2,1) Matrix(2471,-1562,666,-421) -> Matrix(1,-6,0,1) Matrix(9877,-6250,2666,-1687) -> Matrix(1,20,0,1) Matrix(4233,-2680,3448,-2183) -> Matrix(1,6,0,1) Matrix(2273,-1440,352,-223) -> Matrix(3,8,-2,-5) Matrix(3603,-2284,2860,-1813) -> Matrix(1,2,-2,-3) Matrix(3055,-1938,3602,-2285) -> Matrix(1,2,0,1) Matrix(429,-274,274,-175) -> Matrix(1,0,0,1) Matrix(12791,-8264,4744,-3065) -> Matrix(1,-6,0,1) Matrix(2795,-1814,2134,-1385) -> Matrix(1,2,2,5) Matrix(155,-102,38,-25) -> Matrix(3,2,-2,-1) Matrix(495,-338,722,-493) -> Matrix(11,12,-12,-13) Matrix(1933,-1330,1138,-783) -> Matrix(5,4,6,5) Matrix(7123,-4908,4396,-3029) -> Matrix(3,2,4,3) Matrix(1701,-1180,604,-419) -> Matrix(5,4,-4,-3) Matrix(2417,-1680,528,-367) -> Matrix(1,0,0,1) Matrix(2943,-2050,1282,-893) -> Matrix(1,0,0,1) Matrix(827,-580,452,-317) -> Matrix(7,4,-2,-1) Matrix(9547,-6710,3382,-2377) -> Matrix(31,14,-20,-9) Matrix(899,-636,188,-133) -> Matrix(1,0,-2,1) Matrix(6025,-4278,4342,-3083) -> Matrix(1,2,0,1) Matrix(3815,-2712,1048,-745) -> Matrix(7,4,-2,-1) Matrix(4247,-3048,1640,-1177) -> Matrix(7,4,-2,-1) Matrix(18401,-13216,11360,-8159) -> Matrix(1,0,2,1) Matrix(12403,-8910,2830,-2033) -> Matrix(5,6,-6,-7) Matrix(1115,-804,484,-349) -> Matrix(1,0,0,1) Matrix(2117,-1530,1338,-967) -> Matrix(1,2,-2,-3) Matrix(555,-406,406,-297) -> Matrix(1,0,2,1) Matrix(1661,-1220,516,-379) -> Matrix(3,2,-8,-5) Matrix(3023,-2224,1328,-977) -> Matrix(3,2,-2,-1) Matrix(13549,-10004,3092,-2283) -> Matrix(33,20,-38,-23) Matrix(4859,-3590,1030,-761) -> Matrix(15,8,-32,-17) Matrix(873,-664,472,-359) -> Matrix(1,0,4,1) Matrix(3849,-2936,1016,-775) -> Matrix(3,2,-2,-1) Matrix(4501,-3436,2540,-1939) -> Matrix(1,0,4,1) Matrix(17383,-13336,10648,-8169) -> Matrix(9,2,4,1) Matrix(253,-196,324,-251) -> Matrix(1,0,10,1) Matrix(4307,-3372,1580,-1237) -> Matrix(13,-2,-6,1) Matrix(467,-366,430,-337) -> Matrix(1,0,-4,1) Matrix(3335,-2616,2296,-1801) -> Matrix(15,-4,4,-1) Matrix(3797,-2988,2220,-1747) -> Matrix(3,-2,2,-1) Matrix(7663,-6034,4690,-3693) -> Matrix(1,-2,0,1) Matrix(967,-762,250,-197) -> Matrix(5,-2,-2,1) Matrix(3603,-2860,2284,-1813) -> Matrix(1,-2,0,1) Matrix(283,-228,36,-29) -> Matrix(1,0,-2,1) Matrix(883,-716,460,-373) -> Matrix(1,-8,0,1) Matrix(1343,-1090,706,-573) -> Matrix(1,12,0,1) Matrix(2963,-2412,812,-661) -> Matrix(5,8,-2,-3) Matrix(5359,-4368,1552,-1265) -> Matrix(3,2,-2,-1) Matrix(9165,-7474,7474,-6095) -> Matrix(1,0,6,1) Matrix(597,-490,106,-87) -> Matrix(1,-2,0,1) Matrix(841,-694,246,-203) -> Matrix(1,2,0,1) Matrix(20071,-16920,4376,-3689) -> Matrix(5,2,-8,-3) Matrix(1799,-1528,312,-265) -> Matrix(1,-2,0,1) Matrix(415,-354,34,-29) -> Matrix(3,2,-2,-1) Matrix(5539,-4828,3420,-2981) -> Matrix(1,2,0,1) Matrix(511,-450,578,-509) -> Matrix(3,4,-4,-5) Matrix(473,-422,102,-91) -> Matrix(1,0,0,1) Matrix(511,-578,450,-509) -> Matrix(1,-4,0,1) Matrix(267,-310,118,-137) -> Matrix(1,0,0,1) Matrix(2739,-3214,1678,-1969) -> Matrix(1,2,0,1) Matrix(3203,-3772,1852,-2181) -> Matrix(1,0,2,1) Matrix(3055,-3602,1938,-2285) -> Matrix(3,2,-2,-1) Matrix(3835,-4548,2372,-2813) -> Matrix(1,0,0,1) Matrix(1187,-1436,348,-421) -> Matrix(1,2,0,1) Matrix(1669,-2044,316,-387) -> Matrix(1,0,2,1) Matrix(25647,-31442,15698,-19245) -> Matrix(15,2,-8,-1) Matrix(65663,-80512,40192,-49281) -> Matrix(37,-2,-18,1) Matrix(7329,-8990,2846,-3491) -> Matrix(13,-6,-2,1) Matrix(1403,-1732,516,-637) -> Matrix(13,10,-4,-3) Matrix(397,-498,114,-143) -> Matrix(1,0,2,1) Matrix(8101,-10268,4572,-5795) -> Matrix(1,0,2,1) Matrix(9341,-11844,2116,-2683) -> Matrix(11,4,-14,-5) Matrix(29299,-37198,17934,-22769) -> Matrix(9,-2,-4,1) Matrix(4483,-5692,508,-645) -> Matrix(1,0,-2,1) Matrix(253,-324,196,-251) -> Matrix(1,0,10,1) Matrix(2175,-2818,1282,-1661) -> Matrix(1,0,-4,1) Matrix(4263,-5528,920,-1193) -> Matrix(1,0,-6,1) Matrix(5599,-7266,1058,-1373) -> Matrix(1,0,-4,1) Matrix(583,-760,56,-73) -> Matrix(5,-2,-2,1) Matrix(2135,-2794,554,-725) -> Matrix(9,-2,-4,1) Matrix(2409,-3160,664,-871) -> Matrix(9,-4,-2,1) Matrix(19249,-26062,5710,-7731) -> Matrix(3,-4,4,-5) Matrix(6251,-8468,3860,-5229) -> Matrix(1,-2,2,-3) Matrix(4531,-6156,3148,-4277) -> Matrix(1,0,0,1) Matrix(1999,-2738,1458,-1997) -> Matrix(1,0,0,1) Matrix(403,-556,108,-149) -> Matrix(1,-4,0,1) Matrix(2091,-2902,214,-297) -> Matrix(1,-4,0,1) Matrix(1795,-2492,188,-261) -> Matrix(1,2,0,1) Matrix(911,-1266,562,-781) -> Matrix(1,0,0,1) Matrix(691,-974,398,-561) -> Matrix(1,0,2,1) Matrix(901,-1274,186,-263) -> Matrix(1,0,2,1) Matrix(555,-788,212,-301) -> Matrix(5,-2,-2,1) Matrix(1553,-2224,368,-527) -> Matrix(3,-10,-2,7) Matrix(9851,-14148,3652,-5245) -> Matrix(1,-6,0,1) Matrix(5457,-7856,944,-1359) -> Matrix(1,-4,0,1) Matrix(889,-1286,262,-379) -> Matrix(1,-2,0,1) Matrix(3787,-5494,1462,-2121) -> Matrix(1,-6,0,1) Matrix(7883,-11446,2166,-3145) -> Matrix(7,-24,-2,7) Matrix(495,-722,338,-493) -> Matrix(1,-12,0,1) Matrix(681,-1046,278,-427) -> Matrix(1,0,0,1) Matrix(981,-1514,554,-855) -> Matrix(1,2,0,1) Matrix(2537,-3926,1558,-2411) -> Matrix(1,2,-2,-3) Matrix(1951,-3042,1250,-1949) -> Matrix(1,0,0,1) Matrix(10579,-16686,3054,-4817) -> Matrix(1,2,-2,-3) Matrix(25471,-40192,5760,-9089) -> Matrix(7,8,-8,-9) Matrix(4069,-6428,1116,-1763) -> Matrix(23,26,-8,-9) Matrix(6821,-10778,3994,-6311) -> Matrix(13,14,12,13) Matrix(6943,-10978,4066,-6429) -> Matrix(13,12,14,13) Matrix(10989,-17426,3218,-5103) -> Matrix(1,0,2,1) Matrix(915,-1454,494,-785) -> Matrix(1,0,2,1) Matrix(245,-394,74,-119) -> Matrix(1,0,2,1) Matrix(7851,-12692,2324,-3757) -> Matrix(1,0,0,1) Matrix(2959,-4786,562,-909) -> Matrix(1,0,0,1) Matrix(26921,-43608,7768,-12583) -> Matrix(1,0,0,1) Matrix(24037,-38938,6938,-11239) -> Matrix(1,0,-2,1) Matrix(3873,-6304,1120,-1823) -> Matrix(3,2,-2,-1) Matrix(1047,-1706,170,-277) -> Matrix(7,2,-4,-1) Matrix(17375,-28322,10658,-17373) -> Matrix(1,0,18,1) Matrix(26987,-44054,6102,-9961) -> Matrix(5,-14,-6,17) Matrix(4837,-7898,2650,-4327) -> Matrix(1,-12,0,1) Matrix(23839,-38944,7072,-11553) -> Matrix(1,2,2,5) Matrix(121,-200,72,-119) -> Matrix(1,0,2,1) Matrix(1117,-1892,356,-603) -> Matrix(1,0,-2,1) Matrix(30591,-51842,18050,-30589) -> Matrix(1,0,0,1) Matrix(5647,-9586,3250,-5517) -> Matrix(1,0,0,1) Matrix(3529,-6008,568,-967) -> Matrix(3,2,-2,-1) Matrix(971,-1654,118,-201) -> Matrix(1,0,0,1) Matrix(17183,-29282,10082,-17181) -> Matrix(1,0,14,1) Matrix(1583,-2706,850,-1453) -> Matrix(1,0,0,1) Matrix(329,-566,118,-203) -> Matrix(3,2,-2,-1) Matrix(6989,-12084,1524,-2635) -> Matrix(3,-2,-4,3) Matrix(1027,-1788,444,-773) -> Matrix(3,-2,-4,3) Matrix(2175,-3842,578,-1021) -> Matrix(1,-4,0,1) Matrix(971,-1716,116,-205) -> Matrix(1,-2,0,1) Matrix(20021,-35468,4364,-7731) -> Matrix(1,2,-2,-3) Matrix(53385,-94582,11638,-20619) -> Matrix(1,4,-2,-7) Matrix(1887,-3362,1058,-1885) -> Matrix(1,0,0,1) Matrix(2109,-3844,1156,-2107) -> Matrix(1,-26,0,1) Matrix(1921,-3582,894,-1667) -> Matrix(3,-4,-2,3) Matrix(1517,-2834,402,-751) -> Matrix(1,-4,0,1) Matrix(3275,-7028,692,-1485) -> Matrix(1,0,-2,1) Matrix(221,-484,100,-219) -> Matrix(1,2,-2,-3) Matrix(2209,-4894,478,-1059) -> Matrix(1,0,0,1) Matrix(875,-1942,278,-617) -> Matrix(1,0,0,1) Matrix(4643,-10332,1052,-2341) -> Matrix(3,4,-4,-5) Matrix(2917,-6618,666,-1511) -> Matrix(7,8,-8,-9) Matrix(3111,-7064,920,-2089) -> Matrix(1,0,0,1) Matrix(1525,-3468,332,-755) -> Matrix(1,2,-2,-3) Matrix(3887,-8978,1682,-3885) -> Matrix(5,6,-6,-7) Matrix(1711,-4050,722,-1709) -> Matrix(1,0,14,1) Matrix(435,-1036,76,-181) -> Matrix(5,-2,-2,1) Matrix(2059,-4916,756,-1805) -> Matrix(11,-8,-4,3) Matrix(4613,-11132,956,-2307) -> Matrix(1,-2,12,-23) Matrix(899,-2174,318,-769) -> Matrix(3,-10,-2,7) Matrix(8771,-21246,1982,-4801) -> Matrix(3,-8,-4,11) Matrix(1945,-4712,168,-407) -> Matrix(1,-6,0,1) Matrix(1289,-3126,374,-907) -> Matrix(1,-8,0,1) Matrix(447,-1090,130,-317) -> Matrix(1,2,0,1) Matrix(415,-1058,162,-413) -> Matrix(1,-18,0,1) Matrix(3559,-9176,984,-2537) -> Matrix(1,2,0,1) Matrix(4015,-10386,1106,-2861) -> Matrix(1,0,0,1) Matrix(1507,-3932,284,-741) -> Matrix(3,10,2,7) Matrix(405,-1066,106,-279) -> Matrix(1,0,0,1) Matrix(1267,-3342,334,-881) -> Matrix(5,8,-2,-3) Matrix(2471,-6680,536,-1449) -> Matrix(1,4,-2,-7) Matrix(3853,-10420,1140,-3083) -> Matrix(1,4,0,1) Matrix(2693,-7290,570,-1543) -> Matrix(1,2,-2,-3) Matrix(5021,-13604,1380,-3739) -> Matrix(7,32,-2,-9) Matrix(18165,-49226,4106,-11127) -> Matrix(19,80,-24,-101) Matrix(17853,-48388,4036,-10939) -> Matrix(21,80,-26,-99) Matrix(10063,-27378,3698,-10061) -> Matrix(59,180,-20,-61) Matrix(7371,-20084,2612,-7117) -> Matrix(7,16,-4,-9) Matrix(223,-610,34,-93) -> Matrix(5,14,-4,-11) Matrix(1599,-4418,578,-1597) -> Matrix(51,104,-26,-53) Matrix(25361,-71536,5360,-15119) -> Matrix(3,8,-8,-21) Matrix(17117,-48290,3618,-10207) -> Matrix(9,16,-22,-39) Matrix(729,-2086,166,-475) -> Matrix(7,8,-8,-9) Matrix(49,-144,16,-47) -> Matrix(1,2,-2,-3) Matrix(1539,-4862,446,-1409) -> Matrix(1,-2,0,1) Matrix(227,-734,30,-97) -> Matrix(5,2,-8,-3) Matrix(1471,-4802,450,-1469) -> Matrix(1,0,30,1) Matrix(4911,-16592,848,-2865) -> Matrix(5,-2,-2,1) Matrix(5743,-19602,1682,-5741) -> Matrix(1,0,0,1) Matrix(351,-1250,98,-349) -> Matrix(1,-14,0,1) Matrix(859,-3110,166,-601) -> Matrix(1,4,0,1) Matrix(661,-2538,106,-407) -> Matrix(3,8,-2,-5) Matrix(6113,-23520,1056,-4063) -> Matrix(5,18,-2,-7) Matrix(6493,-24994,1122,-4319) -> Matrix(1,0,0,1) Matrix(157,-676,36,-155) -> Matrix(13,14,-14,-15) Matrix(1667,-7870,190,-897) -> Matrix(9,4,-16,-7) Matrix(1167,-5618,242,-1165) -> Matrix(1,0,22,1) Matrix(271,-1458,50,-269) -> Matrix(1,-10,0,1) Matrix(293,-1882,26,-167) -> Matrix(1,2,-2,-3) Matrix(57,-392,8,-55) -> Matrix(9,10,-10,-11) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 129 Degree of the the map X: 129 Degree of the the map Y: 512 ----------------------------------------------------------------------- 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): 1536 Minimal number of generators: 257 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: 72 Genus: 93 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 1/7 3/13 1/3 7/17 5/11 17/31 3/5 5/7 7/9 1/1 17/15 13/11 141/115 9/7 37/27 7/5 19/13 17/11 39/25 277/171 119/73 5/3 161/95 121/71 41/23 31/17 2/1 11/5 67/29 45/19 17/7 23/9 13/5 187/69 117/43 47/17 189/67 3/1 49/15 23/7 99/29 25/7 11/3 19/5 127/33 4/1 17/4 13/3 23/5 24/5 53/11 5/1 26/5 21/4 37/7 27/5 11/2 17/3 23/4 6/1 19/3 13/2 20/3 7/1 15/2 23/3 8/1 17/2 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 0/1 1/0 1/10 -1/1 1/9 0/1 2/17 1/0 1/8 1/1 2/15 5/2 1/7 1/0 2/13 -7/2 3/19 -2/1 1/6 -1/1 3/17 -1/1 2/11 -3/2 5/27 -1/1 3/16 -1/1 7/37 -1/2 4/21 1/0 5/26 -1/1 1/5 0/1 4/19 1/2 3/14 1/1 8/37 1/0 13/60 -1/1 5/23 1/1 2/9 1/0 5/22 5/1 3/13 1/0 7/30 -9/1 11/47 -8/1 4/17 1/0 5/21 -4/1 1/4 -3/1 5/19 -2/1 9/34 -1/1 13/49 -2/1 4/15 -3/2 3/11 -2/1 14/51 -3/2 11/40 -1/1 8/29 -5/4 5/18 -1/1 7/25 -1/1 2/7 -1/2 7/24 -1/1 5/17 0/1 13/44 -1/3 21/71 -1/1 8/27 1/0 3/10 -1/1 4/13 1/4 9/29 0/1 5/16 1/1 1/3 1/0 6/17 1/0 11/31 -2/1 5/14 -3/1 4/11 -7/4 15/41 -3/2 11/30 -1/1 18/49 -3/2 7/19 -4/3 31/84 -9/7 24/65 -5/4 17/46 -1/1 44/119 -5/4 27/73 -1/1 10/27 -5/4 3/8 -1/1 11/29 -2/1 19/50 -3/1 8/21 1/0 5/13 -4/3 17/44 -1/1 12/31 -5/4 7/18 -1/1 9/23 -1/1 2/5 -1/2 9/22 -1/1 16/39 1/0 39/95 -2/1 23/56 -1/1 7/17 -1/1 33/80 -1/1 26/63 -5/6 19/46 -1/1 50/121 -5/6 31/75 -4/5 12/29 -3/4 5/12 -1/1 13/31 -1/3 21/50 -1/3 8/19 -1/4 3/7 0/1 10/23 1/0 17/39 1/0 7/16 -1/1 11/25 -1/1 4/9 1/0 9/20 1/1 5/11 1/0 11/24 -1/1 17/37 -2/1 6/13 1/0 7/15 -2/1 1/2 -1/1 8/15 -3/4 15/28 -1/1 7/13 -1/2 6/11 1/0 17/31 -1/1 11/20 -1/1 5/9 -2/3 9/16 -1/1 22/39 -1/2 13/23 -1/1 4/7 -1/2 15/26 -1/3 11/19 0/1 18/31 1/4 7/12 -1/1 31/53 -1/2 55/94 -1/1 24/41 -1/2 17/29 0/1 27/46 1/1 37/63 -1/1 10/17 -1/2 3/5 0/1 14/23 1/0 25/41 0/1 36/59 1/0 11/18 1/1 30/49 -3/2 49/80 -1/1 19/31 0/1 27/44 1/3 35/57 1/1 8/13 1/0 21/34 -1/3 13/21 0/1 18/29 1/6 5/8 1/1 17/27 1/0 12/19 1/0 31/49 1/0 50/79 1/0 19/30 -5/1 45/71 -3/1 26/41 1/0 7/11 -2/1 9/14 -1/1 11/17 -1/1 24/37 1/0 13/20 -1/1 2/3 1/0 13/19 -1/1 11/16 -1/1 31/45 -3/4 20/29 -5/6 9/13 -2/3 25/36 -1/1 16/23 -1/2 23/33 -1/1 7/10 -3/5 26/37 -1/2 19/27 -2/5 12/17 -1/4 17/24 -1/1 22/31 1/0 27/38 -1/1 5/7 -1/1 28/39 -1/2 51/71 0/1 23/32 -1/3 18/25 1/0 13/18 -1/1 21/29 -2/3 8/11 -1/2 11/15 -2/3 25/34 -1/1 14/19 -1/2 3/4 -1/3 16/21 -1/2 29/38 -1/3 13/17 0/1 10/13 -1/4 7/9 0/1 18/23 1/6 47/60 1/5 29/37 0/1 40/51 1/4 11/14 1/3 37/47 1/1 26/33 1/4 15/19 0/1 4/5 1/0 17/21 2/1 30/37 1/0 43/53 1/0 13/16 -3/1 22/27 -1/2 53/65 0/1 31/38 1/3 9/11 1/0 14/17 1/0 5/6 -1/1 11/13 0/1 28/33 1/0 17/20 1/1 6/7 1/0 13/15 -1/1 20/23 1/0 27/31 -2/1 7/8 -1/1 15/17 -1/1 8/9 -1/2 1/1 0/1 10/9 1/0 9/8 1/1 17/15 1/0 8/7 1/0 7/6 -1/1 20/17 -1/2 33/28 -1/1 13/11 0/1 6/5 1/0 23/19 -2/1 17/14 -1/1 11/9 -1/1 38/31 -1/4 141/115 0/1 103/84 1/9 65/53 0/1 27/22 1/1 16/13 -3/2 21/17 -2/3 26/21 -5/8 5/4 -1/1 19/15 0/1 71/56 -1/3 52/41 -1/4 33/26 -1/5 47/37 -1/2 14/11 -1/4 9/7 0/1 22/17 1/6 35/27 0/1 48/37 1/4 13/10 1/3 17/13 0/1 55/42 1/3 38/29 1/2 21/16 1/1 4/3 1/2 19/14 1/1 34/25 1/0 15/11 2/1 26/19 1/0 37/27 0/1 2/1 11/8 1/1 18/13 1/0 43/31 0/1 68/49 1/0 93/67 1/0 25/18 -1/1 7/5 1/0 24/17 1/0 41/29 0/1 17/12 1/3 10/7 3/2 33/23 1/0 56/39 1/0 23/16 1/1 36/25 1/0 13/9 2/1 29/20 5/1 45/31 3/1 61/42 3/1 16/11 1/0 19/13 1/0 3/2 -1/1 20/13 1/0 17/11 1/0 14/9 1/0 39/25 -2/1 0/1 25/16 -1/1 11/7 -2/1 41/26 -1/1 71/45 -3/2 30/19 -5/4 79/50 -1/1 49/31 -1/1 19/12 -1/1 27/17 -1/1 8/5 -1/2 21/13 0/1 34/21 1/2 115/71 0/1 196/121 1/0 277/171 0/1 81/50 1/1 47/29 1/0 13/8 -1/1 57/35 -1/2 44/27 -1/4 119/73 0/1 75/46 1/5 31/19 0/1 80/49 1/0 49/30 -3/1 18/11 -1/2 5/3 0/1 22/13 1/0 61/36 1/1 161/95 0/1 2/1 100/59 1/0 39/23 0/1 56/33 1/2 73/43 1/2 17/10 1/1 63/37 1/0 46/27 -1/2 121/71 0/1 75/44 1/5 29/17 0/1 41/24 1/1 53/31 1/1 12/7 1/0 19/11 0/1 26/15 1/2 33/19 1/2 106/61 1/2 73/42 1/3 40/23 1/2 7/4 1/1 23/13 1/0 62/35 1/0 225/127 1/0 163/92 -1/1 101/57 0/1 39/22 1/1 16/9 1/0 41/23 0/1 2/1 25/14 1/1 9/5 2/1 20/11 1/0 31/17 1/0 42/23 1/0 11/6 -1/1 13/7 1/1 41/22 1/1 28/15 1/0 15/8 3/1 2/1 1/0 15/7 -2/1 13/6 -1/1 11/5 -1/1 31/14 -1/1 51/23 0/1 20/9 -1/2 9/4 -1/1 34/15 1/0 59/26 -1/1 25/11 1/0 16/7 1/0 39/17 -1/1 62/27 -1/2 23/10 -1/1 30/13 1/0 67/29 -1/1 37/16 -1/1 7/3 0/1 26/11 -1/4 45/19 0/1 19/8 1/3 31/13 1/2 12/5 1/0 29/12 3/1 46/19 1/0 63/26 5/1 17/7 1/0 22/9 1/0 5/2 1/1 23/9 1/0 18/7 1/0 103/40 -7/1 85/33 -6/1 67/26 -5/1 49/19 1/0 31/12 -5/1 75/29 -4/1 44/17 1/0 13/5 -4/1 47/18 -3/1 81/31 -3/1 34/13 -11/4 21/8 -1/1 29/11 -2/1 8/3 1/0 27/10 -5/1 73/27 1/0 46/17 1/0 65/24 -5/1 84/31 -9/2 187/69 -4/1 103/38 -11/3 19/7 -4/1 68/25 -19/6 117/43 -3/1 49/18 -3/1 30/11 1/0 11/4 -7/3 47/17 -2/1 36/13 -19/10 25/9 -2/1 14/5 -3/2 31/11 -2/1 110/39 1/0 189/67 -2/1 79/28 -5/3 48/17 -3/2 17/6 -1/1 20/7 -3/2 23/8 -1/1 3/1 -1/1 25/8 -1/1 22/7 -1/2 41/13 0/1 19/6 -1/1 16/5 -1/2 29/9 0/1 13/4 -1/5 49/15 0/1 36/11 1/10 23/7 0/1 10/3 1/0 27/8 -1/1 98/29 1/0 71/21 1/0 44/13 1/2 17/5 0/1 58/17 1/0 99/29 0/1 2/1 41/12 1/1 24/7 1/0 31/9 1/0 69/20 -3/1 107/31 -2/1 38/11 1/0 45/13 0/1 7/2 1/1 25/7 1/0 18/5 1/0 47/13 1/0 123/34 -3/1 76/21 1/0 29/8 -5/1 40/11 1/0 131/36 -3/1 91/25 -3/1 51/14 -3/1 11/3 -2/1 26/7 1/0 15/4 -3/1 49/13 -2/1 34/9 1/0 53/14 -3/1 19/5 -2/1 23/6 -1/1 50/13 1/0 127/33 -3/1 77/20 -3/1 27/7 -2/1 4/1 -3/2 21/5 -4/3 17/4 -1/1 13/3 -1/1 35/8 -1/1 92/21 -7/8 57/13 -6/7 79/18 -1/1 22/5 -5/6 9/2 -1/1 23/5 -1/2 60/13 1/0 37/8 -1/1 51/11 0/1 14/3 -1/2 19/4 -1/3 24/5 -1/6 53/11 0/1 29/6 1/5 5/1 0/1 31/6 -1/1 26/5 1/0 21/4 -1/1 37/7 1/1 16/3 1/0 27/5 1/0 11/2 -3/1 17/3 1/0 23/4 -1/1 6/1 1/0 19/3 -2/1 13/2 -7/5 20/3 -5/4 7/1 -1/1 15/2 -5/7 23/3 -2/3 8/1 -1/2 17/2 -1/1 9/1 0/1 10/1 1/0 1/0 -1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(0,-1,1,2) (-1/1,1/0) -> (-1/1,0/1) Parabolic Matrix(292,-27,411,-38) (0/1,1/10) -> (22/31,27/38) Hyperbolic Matrix(1042,-111,751,-80) (1/10,1/9) -> (43/31,68/49) Hyperbolic Matrix(1146,-133,517,-60) (1/9,2/17) -> (31/14,51/23) Hyperbolic Matrix(1316,-157,285,-34) (2/17,1/8) -> (60/13,37/8) Hyperbolic Matrix(283,-36,228,-29) (1/8,2/15) -> (26/21,5/4) Hyperbolic Matrix(394,-53,565,-76) (2/15,1/7) -> (23/33,7/10) Hyperbolic Matrix(223,-34,610,-93) (1/7,2/13) -> (4/11,15/41) Hyperbolic Matrix(720,-113,497,-78) (2/13,3/19) -> (13/9,29/20) Hyperbolic Matrix(938,-149,277,-44) (3/19,1/6) -> (44/13,17/5) Hyperbolic Matrix(435,-76,1036,-181) (1/6,3/17) -> (13/31,21/50) Hyperbolic Matrix(272,-49,433,-78) (3/17,2/11) -> (5/8,17/27) Hyperbolic Matrix(594,-109,109,-20) (2/11,5/27) -> (27/5,11/2) Hyperbolic Matrix(864,-161,161,-30) (5/27,3/16) -> (16/3,27/5) Hyperbolic Matrix(1292,-243,755,-142) (3/16,7/37) -> (53/31,12/7) Hyperbolic Matrix(1184,-225,1505,-286) (7/37,4/21) -> (11/14,37/47) Hyperbolic Matrix(1774,-339,1235,-236) (4/21,5/26) -> (56/39,23/16) Hyperbolic Matrix(1877,-364,428,-83) (5/26,1/5) -> (57/13,79/18) Hyperbolic Matrix(899,-188,636,-133) (1/5,4/19) -> (24/17,41/29) Hyperbolic Matrix(634,-135,263,-56) (4/19,3/14) -> (12/5,29/12) Hyperbolic Matrix(473,-102,422,-91) (3/14,8/37) -> (10/9,9/8) Hyperbolic Matrix(1316,-285,157,-34) (8/37,13/60) -> (8/1,17/2) Hyperbolic Matrix(4838,-1049,2841,-616) (13/60,5/23) -> (63/37,46/27) Hyperbolic Matrix(368,-81,209,-46) (5/23,2/9) -> (7/4,23/13) Hyperbolic Matrix(156,-35,419,-94) (2/9,5/22) -> (10/27,3/8) Hyperbolic Matrix(157,-36,676,-155) (5/22,3/13) -> (3/13,7/30) Parabolic Matrix(1607,-376,312,-73) (7/30,11/47) -> (5/1,31/6) Hyperbolic Matrix(1399,-328,1608,-377) (11/47,4/17) -> (20/23,27/31) Hyperbolic Matrix(258,-61,829,-196) (4/17,5/21) -> (9/29,5/16) Hyperbolic Matrix(774,-185,569,-136) (5/21,1/4) -> (34/25,15/11) Hyperbolic Matrix(405,-106,1066,-279) (1/4,5/19) -> (11/29,19/50) Hyperbolic Matrix(3139,-830,1214,-321) (5/19,9/34) -> (31/12,75/29) Hyperbolic Matrix(3542,-939,2731,-724) (9/34,13/49) -> (35/27,48/37) Hyperbolic Matrix(2578,-685,557,-148) (13/49,4/15) -> (37/8,51/11) Hyperbolic Matrix(403,-108,556,-149) (4/15,3/11) -> (21/29,8/11) Hyperbolic Matrix(1508,-413,2461,-674) (3/11,14/51) -> (49/80,19/31) Hyperbolic Matrix(5323,-1462,3062,-841) (14/51,11/40) -> (73/42,40/23) Hyperbolic Matrix(854,-235,1003,-276) (11/40,8/29) -> (17/20,6/7) Hyperbolic Matrix(853,-236,300,-83) (8/29,5/18) -> (17/6,20/7) Hyperbolic Matrix(900,-251,251,-70) (5/18,7/25) -> (25/7,18/5) Hyperbolic Matrix(350,-99,99,-28) (7/25,2/7) -> (7/2,25/7) Hyperbolic Matrix(447,-130,1090,-317) (2/7,7/24) -> (9/22,16/39) Hyperbolic Matrix(841,-246,694,-203) (7/24,5/17) -> (23/19,17/14) Hyperbolic Matrix(938,-277,149,-44) (5/17,13/44) -> (6/1,19/3) Hyperbolic Matrix(5632,-1665,3457,-1022) (13/44,21/71) -> (57/35,44/27) Hyperbolic Matrix(3853,-1140,10420,-3083) (21/71,8/27) -> (44/119,27/73) Hyperbolic Matrix(198,-59,443,-132) (8/27,3/10) -> (4/9,9/20) Hyperbolic Matrix(245,-74,394,-119) (3/10,4/13) -> (18/29,5/8) Hyperbolic Matrix(1027,-318,830,-257) (4/13,9/29) -> (21/17,26/21) Hyperbolic Matrix(877,-276,340,-107) (5/16,1/3) -> (49/19,31/12) Hyperbolic Matrix(853,-300,236,-83) (1/3,6/17) -> (18/5,47/13) Hyperbolic Matrix(899,-318,2174,-769) (6/17,11/31) -> (31/75,12/29) Hyperbolic Matrix(284,-101,613,-218) (11/31,5/14) -> (6/13,7/15) Hyperbolic Matrix(329,-118,566,-203) (5/14,4/11) -> (18/31,7/12) Hyperbolic Matrix(1826,-669,797,-292) (15/41,11/30) -> (16/7,39/17) Hyperbolic Matrix(422,-155,795,-292) (11/30,18/49) -> (1/2,8/15) Hyperbolic Matrix(1403,-516,1732,-637) (18/49,7/19) -> (17/21,30/37) Hyperbolic Matrix(3553,-1310,1310,-483) (7/19,31/84) -> (103/38,19/7) Hyperbolic Matrix(13649,-5038,7854,-2899) (31/84,24/65) -> (106/61,73/42) Hyperbolic Matrix(5888,-2175,2431,-898) (24/65,17/46) -> (46/19,63/26) Hyperbolic Matrix(7008,-2591,1823,-674) (17/46,44/119) -> (23/6,50/13) Hyperbolic Matrix(2942,-1089,1729,-640) (27/73,10/27) -> (17/10,63/37) Hyperbolic Matrix(278,-105,233,-88) (3/8,11/29) -> (13/11,6/5) Hyperbolic Matrix(3293,-1252,2596,-987) (19/50,8/21) -> (52/41,33/26) Hyperbolic Matrix(555,-212,788,-301) (8/21,5/13) -> (19/27,12/17) Hyperbolic Matrix(646,-249,1017,-392) (5/13,17/44) -> (26/41,7/11) Hyperbolic Matrix(3139,-1214,830,-321) (17/44,12/31) -> (34/9,53/14) Hyperbolic Matrix(877,-340,276,-107) (12/31,7/18) -> (19/6,16/5) Hyperbolic Matrix(828,-323,323,-126) (7/18,9/23) -> (23/9,18/7) Hyperbolic Matrix(230,-91,91,-36) (9/23,2/5) -> (5/2,23/9) Hyperbolic Matrix(136,-55,183,-74) (2/5,9/22) -> (14/19,3/4) Hyperbolic Matrix(4174,-1713,5809,-2384) (16/39,39/95) -> (51/71,23/32) Hyperbolic Matrix(11932,-4899,2723,-1118) (39/95,23/56) -> (92/21,57/13) Hyperbolic Matrix(953,-392,2312,-951) (23/56,7/17) -> (7/17,33/80) Parabolic Matrix(7929,-3272,3080,-1271) (33/80,26/63) -> (18/7,103/40) Hyperbolic Matrix(5888,-2431,2175,-898) (26/63,19/46) -> (46/17,65/24) Hyperbolic Matrix(5434,-2245,9285,-3836) (19/46,50/121) -> (55/94,24/41) Hyperbolic Matrix(12001,-4960,4256,-1759) (50/121,31/75) -> (31/11,110/39) Hyperbolic Matrix(634,-263,135,-56) (12/29,5/12) -> (14/3,19/4) Hyperbolic Matrix(270,-113,497,-208) (5/12,13/31) -> (7/13,6/11) Hyperbolic Matrix(1126,-473,857,-360) (21/50,8/19) -> (21/16,4/3) Hyperbolic Matrix(315,-134,134,-57) (8/19,3/7) -> (7/3,26/11) Hyperbolic Matrix(1115,-484,804,-349) (3/7,10/23) -> (18/13,43/31) Hyperbolic Matrix(2943,-1282,2050,-893) (10/23,17/39) -> (33/23,56/39) Hyperbolic Matrix(892,-389,133,-58) (17/39,7/16) -> (20/3,7/1) Hyperbolic Matrix(622,-273,401,-176) (7/16,11/25) -> (17/11,14/9) Hyperbolic Matrix(267,-118,310,-137) (11/25,4/9) -> (6/7,13/15) Hyperbolic Matrix(221,-100,484,-219) (9/20,5/11) -> (5/11,11/24) Parabolic Matrix(4519,-2074,1754,-805) (11/24,17/37) -> (85/33,67/26) Hyperbolic Matrix(746,-343,87,-40) (17/37,6/13) -> (17/2,9/1) Hyperbolic Matrix(566,-265,393,-184) (7/15,1/2) -> (36/25,13/9) Hyperbolic Matrix(1084,-579,835,-446) (8/15,15/28) -> (48/37,13/10) Hyperbolic Matrix(1583,-850,2706,-1453) (15/28,7/13) -> (31/53,55/94) Hyperbolic Matrix(1945,-1064,744,-407) (6/11,17/31) -> (81/31,34/13) Hyperbolic Matrix(992,-545,1569,-862) (17/31,11/20) -> (12/19,31/49) Hyperbolic Matrix(454,-251,123,-68) (11/20,5/9) -> (11/3,26/7) Hyperbolic Matrix(369,-206,206,-115) (5/9,9/16) -> (25/14,9/5) Hyperbolic Matrix(1024,-577,1473,-830) (9/16,22/39) -> (25/36,16/23) Hyperbolic Matrix(981,-554,1514,-855) (22/39,13/23) -> (11/17,24/37) Hyperbolic Matrix(368,-209,81,-46) (13/23,4/7) -> (9/2,23/5) Hyperbolic Matrix(691,-398,974,-561) (4/7,15/26) -> (17/24,22/31) Hyperbolic Matrix(528,-305,689,-398) (15/26,11/19) -> (13/17,10/13) Hyperbolic Matrix(1459,-846,526,-305) (11/19,18/31) -> (36/13,25/9) Hyperbolic Matrix(1292,-755,243,-142) (7/12,31/53) -> (37/7,16/3) Hyperbolic Matrix(1896,-1111,727,-426) (24/41,17/29) -> (13/5,47/18) Hyperbolic Matrix(3509,-2058,2058,-1207) (17/29,27/46) -> (75/44,29/17) Hyperbolic Matrix(4838,-2841,1049,-616) (27/46,37/63) -> (23/5,60/13) Hyperbolic Matrix(2942,-1729,1089,-640) (37/63,10/17) -> (27/10,73/27) Hyperbolic Matrix(121,-72,200,-119) (10/17,3/5) -> (3/5,14/23) Parabolic Matrix(2307,-1406,2942,-1793) (14/23,25/41) -> (29/37,40/51) Hyperbolic Matrix(6401,-3904,3776,-2303) (25/41,36/59) -> (100/59,39/23) Hyperbolic Matrix(8625,-5264,2384,-1455) (36/59,11/18) -> (123/34,76/21) Hyperbolic Matrix(1270,-777,1033,-632) (11/18,30/49) -> (27/22,16/13) Hyperbolic Matrix(3970,-2431,6271,-3840) (30/49,49/80) -> (50/79,19/30) Hyperbolic Matrix(3689,-2262,2262,-1387) (19/31,27/44) -> (75/46,31/19) Hyperbolic Matrix(5632,-3457,1665,-1022) (27/44,35/57) -> (71/21,44/13) Hyperbolic Matrix(3688,-2265,1625,-998) (35/57,8/13) -> (59/26,25/11) Hyperbolic Matrix(911,-562,1266,-781) (8/13,21/34) -> (23/32,18/25) Hyperbolic Matrix(594,-367,751,-464) (21/34,13/21) -> (15/19,4/5) Hyperbolic Matrix(1423,-882,434,-269) (13/21,18/29) -> (36/11,23/7) Hyperbolic Matrix(668,-421,549,-346) (17/27,12/19) -> (17/14,11/9) Hyperbolic Matrix(8702,-5507,3331,-2108) (31/49,50/79) -> (47/18,81/31) Hyperbolic Matrix(2350,-1489,3409,-2160) (19/30,45/71) -> (31/45,20/29) Hyperbolic Matrix(7678,-4867,4739,-3004) (45/71,26/41) -> (81/50,47/29) Hyperbolic Matrix(429,-274,274,-175) (7/11,9/14) -> (25/16,11/7) Hyperbolic Matrix(622,-401,273,-176) (9/14,11/17) -> (25/11,16/7) Hyperbolic Matrix(2795,-1814,2134,-1385) (24/37,13/20) -> (55/42,38/29) Hyperbolic Matrix(542,-353,737,-480) (13/20,2/3) -> (25/34,14/19) Hyperbolic Matrix(114,-77,77,-52) (2/3,13/19) -> (19/13,3/2) Hyperbolic Matrix(608,-417,417,-286) (13/19,11/16) -> (16/11,19/13) Hyperbolic Matrix(1933,-1330,1138,-783) (11/16,31/45) -> (73/43,17/10) Hyperbolic Matrix(720,-497,113,-78) (20/29,9/13) -> (19/3,13/2) Hyperbolic Matrix(566,-393,265,-184) (9/13,25/36) -> (2/1,15/7) Hyperbolic Matrix(2943,-2050,1282,-893) (16/23,23/33) -> (39/17,62/27) Hyperbolic Matrix(827,-580,452,-317) (7/10,26/37) -> (42/23,11/6) Hyperbolic Matrix(2180,-1533,1277,-898) (26/37,19/27) -> (29/17,41/24) Hyperbolic Matrix(899,-636,188,-133) (12/17,17/24) -> (19/4,24/5) Hyperbolic Matrix(3815,-2712,1048,-745) (27/38,5/7) -> (91/25,51/14) Hyperbolic Matrix(3056,-2193,1937,-1390) (5/7,28/39) -> (41/26,71/45) Hyperbolic Matrix(18401,-13216,11360,-8159) (28/39,51/71) -> (115/71,196/121) Hyperbolic Matrix(1115,-804,484,-349) (18/25,13/18) -> (23/10,30/13) Hyperbolic Matrix(742,-537,409,-296) (13/18,21/29) -> (9/5,20/11) Hyperbolic Matrix(555,-406,406,-297) (8/11,11/15) -> (15/11,26/19) Hyperbolic Matrix(774,-569,185,-136) (11/15,25/34) -> (4/1,21/5) Hyperbolic Matrix(218,-165,37,-28) (3/4,16/21) -> (23/4,6/1) Hyperbolic Matrix(1234,-941,1453,-1108) (16/21,29/38) -> (28/33,17/20) Hyperbolic Matrix(4501,-3436,2540,-1939) (29/38,13/17) -> (101/57,39/22) Hyperbolic Matrix(253,-196,324,-251) (10/13,7/9) -> (7/9,18/23) Parabolic Matrix(1544,-1209,825,-646) (18/23,47/60) -> (28/15,15/8) Hyperbolic Matrix(4198,-3289,1113,-872) (47/60,29/37) -> (49/13,34/9) Hyperbolic Matrix(3335,-2616,2296,-1801) (40/51,11/14) -> (61/42,16/11) Hyperbolic Matrix(1754,-1381,2149,-1692) (37/47,26/33) -> (31/38,9/11) Hyperbolic Matrix(967,-762,250,-197) (26/33,15/19) -> (27/7,4/1) Hyperbolic Matrix(283,-228,36,-29) (4/5,17/21) -> (23/3,8/1) Hyperbolic Matrix(6926,-5617,2545,-2064) (30/37,43/53) -> (117/43,49/18) Hyperbolic Matrix(5476,-4445,2013,-1634) (43/53,13/16) -> (68/25,117/43) Hyperbolic Matrix(1270,-1033,777,-632) (13/16,22/27) -> (49/30,18/11) Hyperbolic Matrix(5359,-4368,1552,-1265) (22/27,53/65) -> (107/31,38/11) Hyperbolic Matrix(9165,-7474,7474,-6095) (53/65,31/38) -> (103/84,65/53) Hyperbolic Matrix(668,-549,421,-346) (9/11,14/17) -> (19/12,27/17) Hyperbolic Matrix(841,-694,246,-203) (14/17,5/6) -> (41/12,24/7) Hyperbolic Matrix(278,-233,105,-88) (5/6,11/13) -> (29/11,8/3) Hyperbolic Matrix(1316,-1115,347,-294) (11/13,28/33) -> (53/14,19/5) Hyperbolic Matrix(1506,-1309,925,-804) (13/15,20/23) -> (13/8,57/35) Hyperbolic Matrix(1538,-1341,445,-388) (27/31,7/8) -> (38/11,45/13) Hyperbolic Matrix(272,-239,239,-210) (7/8,15/17) -> (17/15,8/7) Hyperbolic Matrix(306,-271,271,-240) (15/17,8/9) -> (9/8,17/15) Hyperbolic Matrix(473,-422,102,-91) (8/9,1/1) -> (51/11,14/3) Hyperbolic Matrix(456,-505,121,-134) (1/1,10/9) -> (15/4,49/13) Hyperbolic Matrix(267,-310,118,-137) (8/7,7/6) -> (9/4,34/15) Hyperbolic Matrix(854,-1003,235,-276) (7/6,20/17) -> (29/8,40/11) Hyperbolic Matrix(1234,-1453,941,-1108) (20/17,33/28) -> (38/29,21/16) Hyperbolic Matrix(2584,-3047,999,-1178) (33/28,13/11) -> (75/29,44/17) Hyperbolic Matrix(1187,-1436,348,-421) (6/5,23/19) -> (17/5,58/17) Hyperbolic Matrix(1754,-2149,1381,-1692) (11/9,38/31) -> (33/26,47/37) Hyperbolic Matrix(16216,-19881,13225,-16214) (38/31,141/115) -> (141/115,103/84) Parabolic Matrix(7329,-8990,2846,-3491) (65/53,27/22) -> (103/40,85/33) Hyperbolic Matrix(1403,-1732,516,-637) (16/13,21/17) -> (19/7,68/25) Hyperbolic Matrix(594,-751,367,-464) (5/4,19/15) -> (21/13,34/21) Hyperbolic Matrix(8101,-10268,4572,-5795) (19/15,71/56) -> (163/92,101/57) Hyperbolic Matrix(5530,-7013,1637,-2076) (71/56,52/41) -> (27/8,98/29) Hyperbolic Matrix(1184,-1505,225,-286) (47/37,14/11) -> (21/4,37/7) Hyperbolic Matrix(253,-324,196,-251) (14/11,9/7) -> (9/7,22/17) Parabolic Matrix(2175,-2818,1282,-1661) (22/17,35/27) -> (39/23,56/33) Hyperbolic Matrix(528,-689,305,-398) (13/10,17/13) -> (19/11,26/15) Hyperbolic Matrix(2135,-2794,554,-725) (17/13,55/42) -> (77/20,27/7) Hyperbolic Matrix(136,-183,55,-74) (4/3,19/14) -> (22/9,5/2) Hyperbolic Matrix(542,-737,353,-480) (19/14,34/25) -> (3/2,20/13) Hyperbolic Matrix(1000,-1369,729,-998) (26/19,37/27) -> (37/27,11/8) Parabolic Matrix(403,-556,108,-149) (11/8,18/13) -> (26/7,15/4) Hyperbolic Matrix(5762,-7997,2493,-3460) (68/49,93/67) -> (67/29,37/16) Hyperbolic Matrix(3216,-4465,1393,-1934) (93/67,25/18) -> (30/13,67/29) Hyperbolic Matrix(911,-1266,562,-781) (25/18,7/5) -> (47/29,13/8) Hyperbolic Matrix(691,-974,398,-561) (7/5,24/17) -> (26/15,33/19) Hyperbolic Matrix(901,-1274,186,-263) (41/29,17/12) -> (29/6,5/1) Hyperbolic Matrix(555,-788,212,-301) (17/12,10/7) -> (34/13,21/8) Hyperbolic Matrix(394,-565,53,-76) (10/7,33/23) -> (7/1,15/2) Hyperbolic Matrix(1024,-1473,577,-830) (23/16,36/25) -> (39/22,16/9) Hyperbolic Matrix(2350,-3409,1489,-2160) (29/20,45/31) -> (71/45,30/19) Hyperbolic Matrix(7883,-11446,2166,-3145) (45/31,61/42) -> (131/36,91/25) Hyperbolic Matrix(981,-1514,554,-855) (20/13,17/11) -> (23/13,62/35) Hyperbolic Matrix(976,-1521,625,-974) (14/9,39/25) -> (39/25,25/16) Parabolic Matrix(646,-1017,249,-392) (11/7,41/26) -> (44/17,13/5) Hyperbolic Matrix(3970,-6271,2431,-3840) (30/19,79/50) -> (80/49,49/30) Hyperbolic Matrix(2852,-4507,1563,-2470) (79/50,49/31) -> (31/17,42/23) Hyperbolic Matrix(992,-1569,545,-862) (49/31,19/12) -> (20/11,31/17) Hyperbolic Matrix(272,-433,49,-78) (27/17,8/5) -> (11/2,17/3) Hyperbolic Matrix(245,-394,74,-119) (8/5,21/13) -> (23/7,10/3) Hyperbolic Matrix(1442,-2335,415,-672) (34/21,115/71) -> (45/13,7/2) Hyperbolic Matrix(47368,-76729,29241,-47366) (196/121,277/171) -> (277/171,81/50) Parabolic Matrix(8688,-14161,5329,-8686) (44/27,119/73) -> (119/73,75/46) Parabolic Matrix(1508,-2461,413,-674) (31/19,80/49) -> (51/14,11/3) Hyperbolic Matrix(121,-200,72,-119) (18/11,5/3) -> (5/3,22/13) Parabolic Matrix(1117,-1892,356,-603) (22/13,61/36) -> (25/8,22/7) Hyperbolic Matrix(15296,-25921,9025,-15294) (61/36,161/95) -> (161/95,100/59) Parabolic Matrix(5647,-9586,3250,-5517) (56/33,73/43) -> (33/19,106/61) Hyperbolic Matrix(8592,-14641,5041,-8590) (46/27,121/71) -> (121/71,75/44) Parabolic Matrix(1583,-2706,850,-1453) (41/24,53/31) -> (13/7,41/22) Hyperbolic Matrix(329,-566,118,-203) (12/7,19/11) -> (25/9,14/5) Hyperbolic Matrix(234,-407,23,-40) (40/23,7/4) -> (10/1,1/0) Hyperbolic Matrix(14224,-25199,3695,-6546) (62/35,225/127) -> (127/33,77/20) Hyperbolic Matrix(18034,-31951,4687,-8304) (225/127,163/92) -> (50/13,127/33) Hyperbolic Matrix(944,-1681,529,-942) (16/9,41/23) -> (41/23,25/14) Parabolic Matrix(270,-497,113,-208) (11/6,13/7) -> (31/13,12/5) Hyperbolic Matrix(2458,-4583,871,-1624) (41/22,28/15) -> (79/28,48/17) Hyperbolic Matrix(422,-795,155,-292) (15/8,2/1) -> (49/18,30/11) Hyperbolic Matrix(284,-613,101,-218) (15/7,13/6) -> (14/5,31/11) Hyperbolic Matrix(221,-484,100,-219) (13/6,11/5) -> (11/5,31/14) Parabolic Matrix(875,-1942,278,-617) (51/23,20/9) -> (22/7,41/13) Hyperbolic Matrix(198,-443,59,-132) (20/9,9/4) -> (10/3,27/8) Hyperbolic Matrix(2917,-6618,666,-1511) (34/15,59/26) -> (35/8,92/21) Hyperbolic Matrix(912,-2095,175,-402) (62/27,23/10) -> (26/5,21/4) Hyperbolic Matrix(174,-403,19,-44) (37/16,7/3) -> (9/1,10/1) Hyperbolic Matrix(856,-2025,361,-854) (26/11,45/19) -> (45/19,19/8) Parabolic Matrix(435,-1036,76,-181) (19/8,31/13) -> (17/3,23/4) Hyperbolic Matrix(899,-2174,318,-769) (29/12,46/19) -> (48/17,17/6) Hyperbolic Matrix(1289,-3126,374,-907) (63/26,17/7) -> (31/9,69/20) Hyperbolic Matrix(447,-1090,130,-317) (17/7,22/9) -> (24/7,31/9) Hyperbolic Matrix(3559,-9176,984,-2537) (67/26,49/19) -> (47/13,123/34) Hyperbolic Matrix(405,-1066,106,-279) (21/8,29/11) -> (19/5,23/6) Hyperbolic Matrix(156,-419,35,-94) (8/3,27/10) -> (22/5,9/2) Hyperbolic Matrix(3853,-10420,1140,-3083) (73/27,46/17) -> (98/29,71/21) Hyperbolic Matrix(5021,-13604,1380,-3739) (65/24,84/31) -> (40/11,131/36) Hyperbolic Matrix(12904,-34969,4761,-12902) (84/31,187/69) -> (187/69,103/38) Parabolic Matrix(223,-610,34,-93) (30/11,11/4) -> (13/2,20/3) Hyperbolic Matrix(800,-2209,289,-798) (11/4,47/17) -> (47/17,36/13) Parabolic Matrix(12664,-35721,4489,-12662) (110/39,189/67) -> (189/67,79/28) Parabolic Matrix(729,-2086,166,-475) (20/7,23/8) -> (79/18,22/5) Hyperbolic Matrix(49,-144,16,-47) (23/8,3/1) -> (3/1,25/8) Parabolic Matrix(1539,-4862,446,-1409) (41/13,19/6) -> (69/20,107/31) Hyperbolic Matrix(258,-829,61,-196) (16/5,29/9) -> (21/5,17/4) Hyperbolic Matrix(227,-734,30,-97) (29/9,13/4) -> (15/2,23/3) Hyperbolic Matrix(736,-2401,225,-734) (13/4,49/15) -> (49/15,36/11) Parabolic Matrix(2872,-9801,841,-2870) (58/17,99/29) -> (99/29,41/12) Parabolic Matrix(859,-3110,166,-601) (76/21,29/8) -> (31/6,26/5) Hyperbolic Matrix(157,-676,36,-155) (17/4,13/3) -> (13/3,35/8) Parabolic Matrix(584,-2809,121,-582) (24/5,53/11) -> (53/11,29/6) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(0,-1,1,2) -> Matrix(1,0,1,1) Matrix(292,-27,411,-38) -> Matrix(1,2,-1,-1) Matrix(1042,-111,751,-80) -> Matrix(1,0,1,1) Matrix(1146,-133,517,-60) -> Matrix(1,0,-1,1) Matrix(1316,-157,285,-34) -> Matrix(1,0,-1,1) Matrix(283,-36,228,-29) -> Matrix(1,0,-2,1) Matrix(394,-53,565,-76) -> Matrix(1,-4,-1,5) Matrix(223,-34,610,-93) -> Matrix(3,14,-2,-9) Matrix(720,-113,497,-78) -> Matrix(3,8,1,3) Matrix(938,-149,277,-44) -> Matrix(1,2,1,3) Matrix(435,-76,1036,-181) -> Matrix(1,2,-4,-7) Matrix(272,-49,433,-78) -> Matrix(1,2,-1,-1) Matrix(594,-109,109,-20) -> Matrix(5,6,-1,-1) Matrix(864,-161,161,-30) -> Matrix(5,4,1,1) Matrix(1292,-243,755,-142) -> Matrix(3,2,1,1) Matrix(1184,-225,1505,-286) -> Matrix(1,0,3,1) Matrix(1774,-339,1235,-236) -> Matrix(1,0,1,1) Matrix(1877,-364,428,-83) -> Matrix(5,6,-6,-7) Matrix(899,-188,636,-133) -> Matrix(1,0,-2,1) Matrix(634,-135,263,-56) -> Matrix(1,-2,1,-1) Matrix(473,-102,422,-91) -> Matrix(1,0,0,1) Matrix(1316,-285,157,-34) -> Matrix(1,0,-1,1) Matrix(4838,-1049,2841,-616) -> Matrix(1,0,-1,1) Matrix(368,-81,209,-46) -> Matrix(1,-2,1,-1) Matrix(156,-35,419,-94) -> Matrix(1,0,-1,1) Matrix(157,-36,676,-155) -> Matrix(1,-14,0,1) Matrix(1607,-376,312,-73) -> Matrix(1,8,0,1) Matrix(1399,-328,1608,-377) -> Matrix(1,6,0,1) Matrix(258,-61,829,-196) -> Matrix(1,4,1,5) Matrix(774,-185,569,-136) -> Matrix(1,2,1,3) Matrix(405,-106,1066,-279) -> Matrix(1,0,0,1) Matrix(3139,-830,1214,-321) -> Matrix(9,14,-2,-3) Matrix(3542,-939,2731,-724) -> Matrix(1,2,3,7) Matrix(2578,-685,557,-148) -> Matrix(1,2,-3,-5) Matrix(403,-108,556,-149) -> Matrix(3,4,-4,-5) Matrix(1508,-413,2461,-674) -> Matrix(1,2,-3,-5) Matrix(5323,-1462,3062,-841) -> Matrix(3,4,8,11) Matrix(854,-235,1003,-276) -> Matrix(3,4,-1,-1) Matrix(853,-236,300,-83) -> Matrix(1,2,-2,-3) Matrix(900,-251,251,-70) -> Matrix(11,12,-1,-1) Matrix(350,-99,99,-28) -> Matrix(3,2,1,1) Matrix(447,-130,1090,-317) -> Matrix(3,2,-2,-1) Matrix(841,-246,694,-203) -> Matrix(3,2,-2,-1) Matrix(938,-277,149,-44) -> Matrix(5,2,-3,-1) Matrix(5632,-1665,3457,-1022) -> Matrix(1,0,-1,1) Matrix(3853,-1140,10420,-3083) -> Matrix(5,4,-4,-3) Matrix(198,-59,443,-132) -> Matrix(1,0,1,1) Matrix(245,-74,394,-119) -> Matrix(1,0,2,1) Matrix(1027,-318,830,-257) -> Matrix(3,-2,-4,3) Matrix(877,-276,340,-107) -> Matrix(1,-6,0,1) Matrix(853,-300,236,-83) -> Matrix(1,-2,0,1) Matrix(899,-318,2174,-769) -> Matrix(3,10,-4,-13) Matrix(284,-101,613,-218) -> Matrix(1,4,-1,-3) Matrix(329,-118,566,-203) -> Matrix(1,2,0,1) Matrix(1826,-669,797,-292) -> Matrix(3,4,-1,-1) Matrix(422,-155,795,-292) -> Matrix(5,8,-7,-11) Matrix(1403,-516,1732,-637) -> Matrix(7,10,2,3) Matrix(3553,-1310,1310,-483) -> Matrix(5,8,-2,-3) Matrix(13649,-5038,7854,-2899) -> Matrix(3,4,2,3) Matrix(5888,-2175,2431,-898) -> Matrix(1,0,1,1) Matrix(7008,-2591,1823,-674) -> Matrix(5,6,-1,-1) Matrix(2942,-1089,1729,-640) -> Matrix(3,4,-1,-1) Matrix(278,-105,233,-88) -> Matrix(1,2,-1,-1) Matrix(3293,-1252,2596,-987) -> Matrix(1,2,-4,-7) Matrix(555,-212,788,-301) -> Matrix(1,2,-4,-7) Matrix(646,-249,1017,-392) -> Matrix(5,6,-1,-1) Matrix(3139,-1214,830,-321) -> Matrix(11,14,-4,-5) Matrix(877,-340,276,-107) -> Matrix(5,6,-6,-7) Matrix(828,-323,323,-126) -> Matrix(15,16,-1,-1) Matrix(230,-91,91,-36) -> Matrix(3,2,1,1) Matrix(136,-55,183,-74) -> Matrix(1,0,-1,1) Matrix(4174,-1713,5809,-2384) -> Matrix(1,2,-3,-5) Matrix(11932,-4899,2723,-1118) -> Matrix(13,20,-15,-23) Matrix(953,-392,2312,-951) -> Matrix(9,10,-10,-11) Matrix(7929,-3272,3080,-1271) -> Matrix(43,36,-6,-5) Matrix(5888,-2431,2175,-898) -> Matrix(1,0,1,1) Matrix(5434,-2245,9285,-3836) -> Matrix(7,6,-13,-11) Matrix(12001,-4960,4256,-1759) -> Matrix(7,6,-6,-5) Matrix(634,-263,135,-56) -> Matrix(3,2,-5,-3) Matrix(270,-113,497,-208) -> Matrix(1,0,1,1) Matrix(1126,-473,857,-360) -> Matrix(1,0,5,1) Matrix(315,-134,134,-57) -> Matrix(1,0,0,1) Matrix(1115,-484,804,-349) -> Matrix(1,0,0,1) Matrix(2943,-1282,2050,-893) -> Matrix(1,0,0,1) Matrix(892,-389,133,-58) -> Matrix(1,6,-1,-5) Matrix(622,-273,401,-176) -> Matrix(1,2,-1,-1) Matrix(267,-118,310,-137) -> Matrix(1,0,0,1) Matrix(221,-100,484,-219) -> Matrix(1,-2,0,1) Matrix(4519,-2074,1754,-805) -> Matrix(1,-4,0,1) Matrix(746,-343,87,-40) -> Matrix(1,2,-1,-1) Matrix(566,-265,393,-184) -> Matrix(1,0,1,1) Matrix(1084,-579,835,-446) -> Matrix(3,2,13,9) Matrix(1583,-850,2706,-1453) -> Matrix(1,0,0,1) Matrix(1945,-1064,744,-407) -> Matrix(11,14,-4,-5) Matrix(992,-545,1569,-862) -> Matrix(7,6,1,1) Matrix(454,-251,123,-68) -> Matrix(1,0,1,1) Matrix(369,-206,206,-115) -> Matrix(1,0,2,1) Matrix(1024,-577,1473,-830) -> Matrix(3,2,-5,-3) Matrix(981,-554,1514,-855) -> Matrix(3,2,-2,-1) Matrix(368,-209,81,-46) -> Matrix(3,2,-5,-3) Matrix(691,-398,974,-561) -> Matrix(1,0,2,1) Matrix(528,-305,689,-398) -> Matrix(1,0,-1,1) Matrix(1459,-846,526,-305) -> Matrix(11,2,-6,-1) Matrix(1292,-755,243,-142) -> Matrix(3,2,1,1) Matrix(1896,-1111,727,-426) -> Matrix(11,4,-3,-1) Matrix(3509,-2058,2058,-1207) -> Matrix(1,0,4,1) Matrix(4838,-2841,1049,-616) -> Matrix(1,0,-1,1) Matrix(2942,-1729,1089,-640) -> Matrix(3,4,-1,-1) Matrix(121,-72,200,-119) -> Matrix(1,0,2,1) Matrix(2307,-1406,2942,-1793) -> Matrix(1,0,4,1) Matrix(6401,-3904,3776,-2303) -> Matrix(1,0,0,1) Matrix(8625,-5264,2384,-1455) -> Matrix(1,-4,0,1) Matrix(1270,-777,1033,-632) -> Matrix(1,2,-1,-1) Matrix(3970,-2431,6271,-3840) -> Matrix(7,8,-1,-1) Matrix(3689,-2262,2262,-1387) -> Matrix(1,0,2,1) Matrix(5632,-3457,1665,-1022) -> Matrix(1,0,-1,1) Matrix(3688,-2265,1625,-998) -> Matrix(1,0,-1,1) Matrix(911,-562,1266,-781) -> Matrix(1,0,0,1) Matrix(594,-367,751,-464) -> Matrix(1,0,3,1) Matrix(1423,-882,434,-269) -> Matrix(1,0,4,1) Matrix(668,-421,549,-346) -> Matrix(1,0,-1,1) Matrix(8702,-5507,3331,-2108) -> Matrix(3,46,-1,-15) Matrix(2350,-1489,3409,-2160) -> Matrix(1,0,-1,1) Matrix(7678,-4867,4739,-3004) -> Matrix(1,2,1,3) Matrix(429,-274,274,-175) -> Matrix(1,0,0,1) Matrix(622,-401,273,-176) -> Matrix(1,2,-1,-1) Matrix(2795,-1814,2134,-1385) -> Matrix(1,2,2,5) Matrix(542,-353,737,-480) -> Matrix(1,0,-1,1) Matrix(114,-77,77,-52) -> Matrix(1,2,-1,-1) Matrix(608,-417,417,-286) -> Matrix(11,10,1,1) Matrix(1933,-1330,1138,-783) -> Matrix(5,4,6,5) Matrix(720,-497,113,-78) -> Matrix(11,8,-7,-5) Matrix(566,-393,265,-184) -> Matrix(1,0,1,1) Matrix(2943,-2050,1282,-893) -> Matrix(1,0,0,1) Matrix(827,-580,452,-317) -> Matrix(7,4,-2,-1) Matrix(2180,-1533,1277,-898) -> Matrix(5,2,7,3) Matrix(899,-636,188,-133) -> Matrix(1,0,-2,1) Matrix(3815,-2712,1048,-745) -> Matrix(7,4,-2,-1) Matrix(3056,-2193,1937,-1390) -> Matrix(5,2,-3,-1) Matrix(18401,-13216,11360,-8159) -> Matrix(1,0,2,1) Matrix(1115,-804,484,-349) -> Matrix(1,0,0,1) Matrix(742,-537,409,-296) -> Matrix(5,4,1,1) Matrix(555,-406,406,-297) -> Matrix(1,0,2,1) Matrix(774,-569,185,-136) -> Matrix(5,2,-3,-1) Matrix(218,-165,37,-28) -> Matrix(5,2,-3,-1) Matrix(1234,-941,1453,-1108) -> Matrix(1,0,3,1) Matrix(4501,-3436,2540,-1939) -> Matrix(1,0,4,1) Matrix(253,-196,324,-251) -> Matrix(1,0,10,1) Matrix(1544,-1209,825,-646) -> Matrix(9,-2,5,-1) Matrix(4198,-3289,1113,-872) -> Matrix(11,-2,-5,1) Matrix(3335,-2616,2296,-1801) -> Matrix(15,-4,4,-1) Matrix(1754,-1381,2149,-1692) -> Matrix(1,0,-1,1) Matrix(967,-762,250,-197) -> Matrix(5,-2,-2,1) Matrix(283,-228,36,-29) -> Matrix(1,0,-2,1) Matrix(6926,-5617,2545,-2064) -> Matrix(3,-32,-1,11) Matrix(5476,-4445,2013,-1634) -> Matrix(3,28,-1,-9) Matrix(1270,-1033,777,-632) -> Matrix(1,2,-1,-1) Matrix(5359,-4368,1552,-1265) -> Matrix(3,2,-2,-1) Matrix(9165,-7474,7474,-6095) -> Matrix(1,0,6,1) Matrix(668,-549,421,-346) -> Matrix(1,0,-1,1) Matrix(841,-694,246,-203) -> Matrix(1,2,0,1) Matrix(278,-233,105,-88) -> Matrix(1,2,-1,-1) Matrix(1316,-1115,347,-294) -> Matrix(3,-2,-1,1) Matrix(1506,-1309,925,-804) -> Matrix(1,0,-1,1) Matrix(1538,-1341,445,-388) -> Matrix(1,2,-1,-1) Matrix(272,-239,239,-210) -> Matrix(1,2,-1,-1) Matrix(306,-271,271,-240) -> Matrix(3,2,1,1) Matrix(473,-422,102,-91) -> Matrix(1,0,0,1) Matrix(456,-505,121,-134) -> Matrix(3,-2,-1,1) Matrix(267,-310,118,-137) -> Matrix(1,0,0,1) Matrix(854,-1003,235,-276) -> Matrix(3,4,-1,-1) Matrix(1234,-1453,941,-1108) -> Matrix(1,0,3,1) Matrix(2584,-3047,999,-1178) -> Matrix(3,4,-1,-1) Matrix(1187,-1436,348,-421) -> Matrix(1,2,0,1) Matrix(1754,-2149,1381,-1692) -> Matrix(1,0,-1,1) Matrix(16216,-19881,13225,-16214) -> Matrix(1,0,13,1) Matrix(7329,-8990,2846,-3491) -> Matrix(13,-6,-2,1) Matrix(1403,-1732,516,-637) -> Matrix(13,10,-4,-3) Matrix(594,-751,367,-464) -> Matrix(1,0,3,1) Matrix(8101,-10268,4572,-5795) -> Matrix(1,0,2,1) Matrix(5530,-7013,1637,-2076) -> Matrix(1,0,3,1) Matrix(1184,-1505,225,-286) -> Matrix(1,0,3,1) Matrix(253,-324,196,-251) -> Matrix(1,0,10,1) Matrix(2175,-2818,1282,-1661) -> Matrix(1,0,-4,1) Matrix(528,-689,305,-398) -> Matrix(1,0,-1,1) Matrix(2135,-2794,554,-725) -> Matrix(9,-2,-4,1) Matrix(136,-183,55,-74) -> Matrix(1,0,-1,1) Matrix(542,-737,353,-480) -> Matrix(1,0,-1,1) Matrix(1000,-1369,729,-998) -> Matrix(1,-2,1,-1) Matrix(403,-556,108,-149) -> Matrix(1,-4,0,1) Matrix(5762,-7997,2493,-3460) -> Matrix(1,-4,-1,5) Matrix(3216,-4465,1393,-1934) -> Matrix(1,2,-1,-1) Matrix(911,-1266,562,-781) -> Matrix(1,0,0,1) Matrix(691,-974,398,-561) -> Matrix(1,0,2,1) Matrix(901,-1274,186,-263) -> Matrix(1,0,2,1) Matrix(555,-788,212,-301) -> Matrix(5,-2,-2,1) Matrix(394,-565,53,-76) -> Matrix(1,-4,-1,5) Matrix(1024,-1473,577,-830) -> Matrix(1,-2,1,-1) Matrix(2350,-3409,1489,-2160) -> Matrix(1,0,-1,1) Matrix(7883,-11446,2166,-3145) -> Matrix(7,-24,-2,7) Matrix(981,-1514,554,-855) -> Matrix(1,2,0,1) Matrix(976,-1521,625,-974) -> Matrix(1,2,-1,-1) Matrix(646,-1017,249,-392) -> Matrix(5,6,-1,-1) Matrix(3970,-6271,2431,-3840) -> Matrix(7,8,-1,-1) Matrix(2852,-4507,1563,-2470) -> Matrix(19,20,-1,-1) Matrix(992,-1569,545,-862) -> Matrix(7,6,1,1) Matrix(272,-433,49,-78) -> Matrix(1,2,-1,-1) Matrix(245,-394,74,-119) -> Matrix(1,0,2,1) Matrix(1442,-2335,415,-672) -> Matrix(1,0,-1,1) Matrix(47368,-76729,29241,-47366) -> Matrix(1,0,1,1) Matrix(8688,-14161,5329,-8686) -> Matrix(1,0,9,1) Matrix(1508,-2461,413,-674) -> Matrix(3,-2,-1,1) Matrix(121,-200,72,-119) -> Matrix(1,0,2,1) Matrix(1117,-1892,356,-603) -> Matrix(1,0,-2,1) Matrix(15296,-25921,9025,-15294) -> Matrix(1,-2,1,-1) Matrix(5647,-9586,3250,-5517) -> Matrix(1,0,0,1) Matrix(8592,-14641,5041,-8590) -> Matrix(1,0,7,1) Matrix(1583,-2706,850,-1453) -> Matrix(1,0,0,1) Matrix(329,-566,118,-203) -> Matrix(3,2,-2,-1) Matrix(234,-407,23,-40) -> Matrix(3,-2,-1,1) Matrix(14224,-25199,3695,-6546) -> Matrix(3,-2,-1,1) Matrix(18034,-31951,4687,-8304) -> Matrix(3,4,-1,-1) Matrix(944,-1681,529,-942) -> Matrix(1,-2,1,-1) Matrix(270,-497,113,-208) -> Matrix(1,0,1,1) Matrix(2458,-4583,871,-1624) -> Matrix(5,-8,-3,5) Matrix(422,-795,155,-292) -> Matrix(3,-8,-1,3) Matrix(284,-613,101,-218) -> Matrix(1,4,-1,-3) Matrix(221,-484,100,-219) -> Matrix(1,2,-2,-3) Matrix(875,-1942,278,-617) -> Matrix(1,0,0,1) Matrix(198,-443,59,-132) -> Matrix(1,0,1,1) Matrix(2917,-6618,666,-1511) -> Matrix(7,8,-8,-9) Matrix(912,-2095,175,-402) -> Matrix(1,0,1,1) Matrix(174,-403,19,-44) -> Matrix(1,0,1,1) Matrix(856,-2025,361,-854) -> Matrix(1,0,7,1) Matrix(435,-1036,76,-181) -> Matrix(5,-2,-2,1) Matrix(899,-2174,318,-769) -> Matrix(3,-10,-2,7) Matrix(1289,-3126,374,-907) -> Matrix(1,-8,0,1) Matrix(447,-1090,130,-317) -> Matrix(1,2,0,1) Matrix(3559,-9176,984,-2537) -> Matrix(1,2,0,1) Matrix(405,-1066,106,-279) -> Matrix(1,0,0,1) Matrix(156,-419,35,-94) -> Matrix(1,0,-1,1) Matrix(3853,-10420,1140,-3083) -> Matrix(1,4,0,1) Matrix(5021,-13604,1380,-3739) -> Matrix(7,32,-2,-9) Matrix(12904,-34969,4761,-12902) -> Matrix(19,80,-5,-21) Matrix(223,-610,34,-93) -> Matrix(5,14,-4,-11) Matrix(800,-2209,289,-798) -> Matrix(25,52,-13,-27) Matrix(12664,-35721,4489,-12662) -> Matrix(5,12,-3,-7) Matrix(729,-2086,166,-475) -> Matrix(7,8,-8,-9) Matrix(49,-144,16,-47) -> Matrix(1,2,-2,-3) Matrix(1539,-4862,446,-1409) -> Matrix(1,-2,0,1) Matrix(258,-829,61,-196) -> Matrix(9,4,-7,-3) Matrix(227,-734,30,-97) -> Matrix(5,2,-8,-3) Matrix(736,-2401,225,-734) -> Matrix(1,0,15,1) Matrix(2872,-9801,841,-2870) -> Matrix(1,-2,1,-1) Matrix(859,-3110,166,-601) -> Matrix(1,4,0,1) Matrix(157,-676,36,-155) -> Matrix(13,14,-14,-15) Matrix(584,-2809,121,-582) -> Matrix(1,0,11,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 3 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 2 Genus: 0 Degree of H/liftables -> H/(image of liftables): 129 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 0/1 1 1 1/1 0/1 1 16 9/8 1/1 1 32 17/15 1/0 2 1 8/7 1/0 1 32 7/6 -1/1 1 32 20/17 -1/2 1 32 33/28 -1/1 1 32 13/11 0/1 1 4 6/5 1/0 1 32 17/14 -1/1 1 32 11/9 -1/1 1 8 38/31 -1/4 1 32 141/115 0/1 13 1 65/53 0/1 1 16 27/22 1/1 1 32 16/13 -3/2 1 32 21/17 -2/3 1 16 5/4 -1/1 1 32 19/15 0/1 1 16 33/26 -1/5 1 32 47/37 -1/2 1 8 14/11 -1/4 1 32 9/7 0/1 5 2 22/17 1/6 1 32 35/27 0/1 1 16 48/37 1/4 1 32 13/10 1/3 1 32 17/13 0/1 1 16 38/29 1/2 1 32 21/16 1/1 1 32 4/3 1/2 1 32 19/14 1/1 1 32 34/25 1/0 1 32 15/11 2/1 1 16 37/27 (0/1,2/1).(1/1,1/0) 0 1 11/8 1/1 1 32 18/13 1/0 1 32 25/18 -1/1 1 32 7/5 1/0 1 8 24/17 1/0 1 32 17/12 1/3 1 32 10/7 3/2 1 32 33/23 1/0 5 4 23/16 1/1 1 32 36/25 1/0 1 32 13/9 2/1 1 16 29/20 5/1 1 32 45/31 3/1 1 8 16/11 1/0 1 32 19/13 1/0 6 1 3/2 -1/1 1 32 20/13 1/0 1 32 17/11 1/0 1 8 14/9 1/0 1 32 39/25 (-2/1,0/1).(-1/1,1/0) 0 1 11/7 -2/1 1 16 41/26 -1/1 1 32 71/45 -3/2 1 8 30/19 -5/4 1 32 79/50 -1/1 1 32 49/31 -1/1 13 2 19/12 -1/1 1 32 27/17 -1/1 1 8 8/5 -1/2 1 32 21/13 0/1 1 16 34/21 1/2 1 32 115/71 0/1 1 16 277/171 0/1 1 1 81/50 1/1 1 32 47/29 1/0 1 8 13/8 -1/1 1 32 57/35 -1/2 1 8 44/27 -1/4 1 32 119/73 0/1 9 1 31/19 0/1 1 16 80/49 1/0 1 32 49/30 -3/1 1 32 18/11 -1/2 1 32 5/3 0/1 1 4 22/13 1/0 1 32 61/36 1/1 1 32 161/95 (0/1,2/1).(1/1,1/0) 0 1 39/23 0/1 1 16 56/33 1/2 1 32 73/43 1/2 1 8 17/10 1/1 1 32 63/37 1/0 1 8 46/27 -1/2 1 32 121/71 0/1 7 1 29/17 0/1 1 16 41/24 1/1 1 32 53/31 1/1 1 8 12/7 1/0 1 32 19/11 0/1 1 16 26/15 1/2 1 32 33/19 1/2 1 8 40/23 1/2 1 32 7/4 1/1 1 32 23/13 1/0 1 8 62/35 1/0 1 32 101/57 0/1 1 16 39/22 1/1 1 32 16/9 1/0 1 32 41/23 (0/1,2/1).(1/1,1/0) 0 1 9/5 2/1 1 16 20/11 1/0 1 32 31/17 1/0 13 2 11/6 -1/1 1 32 13/7 1/1 1 8 41/22 1/1 1 32 28/15 1/0 1 32 15/8 3/1 1 32 2/1 1/0 1 32 15/7 -2/1 1 16 13/6 -1/1 1 32 11/5 -1/1 1 2 31/14 -1/1 1 32 51/23 0/1 1 16 20/9 -1/2 1 32 9/4 -1/1 1 32 34/15 1/0 1 32 59/26 -1/1 1 32 25/11 1/0 1 8 16/7 1/0 1 32 39/17 -1/1 5 4 62/27 -1/2 1 32 23/10 -1/1 1 32 30/13 1/0 1 32 67/29 -1/1 3 1 37/16 -1/1 1 32 7/3 0/1 1 16 45/19 0/1 7 1 19/8 1/3 1 32 31/13 1/2 1 8 12/5 1/0 1 32 29/12 3/1 1 32 46/19 1/0 1 32 63/26 5/1 1 32 17/7 1/0 5 4 22/9 1/0 1 32 5/2 1/1 1 32 23/9 1/0 9 1 18/7 1/0 1 32 31/12 -5/1 1 32 44/17 1/0 1 32 13/5 -4/1 1 16 47/18 -3/1 1 32 81/31 -3/1 13 2 34/13 -11/4 1 32 21/8 -1/1 1 32 29/11 -2/1 1 4 8/3 1/0 1 32 27/10 -5/1 1 32 73/27 1/0 1 8 46/17 1/0 1 32 65/24 -5/1 1 32 84/31 -9/2 1 32 187/69 -4/1 5 1 19/7 -4/1 1 16 68/25 -19/6 1 32 117/43 -3/1 10 1 49/18 -3/1 1 32 30/11 1/0 1 32 11/4 -7/3 1 32 47/17 -2/1 13 1 25/9 -2/1 1 16 14/5 -3/2 1 32 31/11 -2/1 1 16 189/67 -2/1 3 1 79/28 -5/3 1 32 48/17 -3/2 1 32 17/6 -1/1 1 32 3/1 -1/1 1 8 22/7 -1/2 1 32 41/13 0/1 1 16 19/6 -1/1 1 32 16/5 -1/2 1 32 29/9 0/1 1 16 13/4 -1/5 1 32 49/15 0/1 15 1 23/7 0/1 1 16 10/3 1/0 1 32 27/8 -1/1 1 32 98/29 1/0 1 32 71/21 1/0 1 8 44/13 1/2 1 32 17/5 0/1 1 16 99/29 (0/1,2/1).(1/1,1/0) 0 1 41/12 1/1 1 32 24/7 1/0 1 32 31/9 1/0 5 4 69/20 -3/1 1 32 107/31 -2/1 1 16 38/11 1/0 1 32 45/13 0/1 1 16 7/2 1/1 1 32 25/7 1/0 7 1 18/5 1/0 1 32 47/13 1/0 1 8 123/34 -3/1 1 32 76/21 1/0 1 32 29/8 -5/1 1 32 40/11 1/0 1 32 131/36 -3/1 1 32 91/25 -3/1 1 8 51/14 -3/1 1 32 11/3 -2/1 1 16 26/7 1/0 1 32 15/4 -3/1 1 32 49/13 -2/1 1 16 34/9 1/0 1 32 53/14 -3/1 1 32 19/5 -2/1 1 4 23/6 -1/1 1 32 50/13 1/0 1 32 127/33 -3/1 1 1 77/20 -3/1 1 32 27/7 -2/1 1 16 4/1 -3/2 1 32 21/5 -4/3 1 16 17/4 -1/1 1 32 13/3 -1/1 7 2 35/8 -1/1 1 32 92/21 -7/8 1 32 57/13 -6/7 1 16 22/5 -5/6 1 32 9/2 -1/1 1 32 23/5 -1/2 1 8 60/13 1/0 1 32 37/8 -1/1 1 32 51/11 0/1 1 16 14/3 -1/2 1 32 19/4 -1/3 1 32 24/5 -1/6 1 32 53/11 0/1 11 1 5/1 0/1 1 16 31/6 -1/1 1 32 26/5 1/0 1 32 21/4 -1/1 1 32 37/7 1/1 1 8 16/3 1/0 1 32 27/5 1/0 5 1 11/2 -3/1 1 32 17/3 1/0 1 8 23/4 -1/1 1 32 6/1 1/0 1 32 19/3 -2/1 1 16 13/2 -7/5 1 32 20/3 -5/4 1 32 7/1 -1/1 5 4 15/2 -5/7 1 32 23/3 -2/3 1 16 8/1 -1/2 1 32 17/2 -1/1 1 32 9/1 0/1 1 16 10/1 1/0 1 32 1/0 -1/1 1 32 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(0,1,1,0) (-1/1,1/1) -> (-1/1,1/1) Reflection Matrix(422,-473,91,-102) (1/1,9/8) -> (51/11,14/3) Glide Reflection Matrix(271,-306,240,-271) (9/8,17/15) -> (9/8,17/15) Reflection Matrix(239,-272,210,-239) (17/15,8/7) -> (17/15,8/7) Reflection Matrix(267,-310,118,-137) (8/7,7/6) -> (9/4,34/15) Hyperbolic Matrix(854,-1003,235,-276) (7/6,20/17) -> (29/8,40/11) Hyperbolic Matrix(1234,-1453,941,-1108) (20/17,33/28) -> (38/29,21/16) Hyperbolic Matrix(1115,-1316,294,-347) (33/28,13/11) -> (53/14,19/5) Glide Reflection Matrix(233,-278,88,-105) (13/11,6/5) -> (29/11,8/3) Glide Reflection Matrix(694,-841,203,-246) (6/5,17/14) -> (41/12,24/7) Glide Reflection Matrix(549,-668,346,-421) (17/14,11/9) -> (19/12,27/17) Glide Reflection Matrix(1754,-2149,1381,-1692) (11/9,38/31) -> (33/26,47/37) Hyperbolic Matrix(8741,-10716,7130,-8741) (38/31,141/115) -> (38/31,141/115) Reflection Matrix(7474,-9165,6095,-7474) (141/115,65/53) -> (141/115,65/53) Reflection Matrix(4368,-5359,1265,-1552) (65/53,27/22) -> (107/31,38/11) Glide Reflection Matrix(1033,-1270,632,-777) (27/22,16/13) -> (49/30,18/11) Glide Reflection Matrix(1403,-1732,516,-637) (16/13,21/17) -> (19/7,68/25) Hyperbolic Matrix(228,-283,29,-36) (21/17,5/4) -> (23/3,8/1) Glide Reflection Matrix(594,-751,367,-464) (5/4,19/15) -> (21/13,34/21) Hyperbolic Matrix(762,-967,197,-250) (19/15,33/26) -> (27/7,4/1) Glide Reflection Matrix(1184,-1505,225,-286) (47/37,14/11) -> (21/4,37/7) Hyperbolic Matrix(253,-324,196,-251) (14/11,9/7) -> (9/7,22/17) Parabolic Matrix(2175,-2818,1282,-1661) (22/17,35/27) -> (39/23,56/33) Hyperbolic Matrix(2731,-3542,724,-939) (35/27,48/37) -> (49/13,34/9) Glide Reflection Matrix(835,-1084,446,-579) (48/37,13/10) -> (28/15,15/8) Glide Reflection Matrix(528,-689,305,-398) (13/10,17/13) -> (19/11,26/15) Hyperbolic Matrix(3436,-4501,1939,-2540) (17/13,38/29) -> (101/57,39/22) Glide Reflection Matrix(165,-218,28,-37) (21/16,4/3) -> (23/4,6/1) Glide Reflection Matrix(136,-183,55,-74) (4/3,19/14) -> (22/9,5/2) Hyperbolic Matrix(542,-737,353,-480) (19/14,34/25) -> (3/2,20/13) Hyperbolic Matrix(569,-774,136,-185) (34/25,15/11) -> (4/1,21/5) Glide Reflection Matrix(406,-555,297,-406) (15/11,37/27) -> (15/11,37/27) Reflection Matrix(593,-814,432,-593) (37/27,11/8) -> (37/27,11/8) Reflection Matrix(403,-556,108,-149) (11/8,18/13) -> (26/7,15/4) Hyperbolic Matrix(804,-1115,349,-484) (18/13,25/18) -> (23/10,30/13) Glide Reflection Matrix(911,-1266,562,-781) (25/18,7/5) -> (47/29,13/8) Hyperbolic Matrix(691,-974,398,-561) (7/5,24/17) -> (26/15,33/19) Hyperbolic Matrix(636,-899,133,-188) (24/17,17/12) -> (19/4,24/5) Glide Reflection Matrix(555,-788,212,-301) (17/12,10/7) -> (34/13,21/8) Hyperbolic Matrix(394,-565,53,-76) (10/7,33/23) -> (7/1,15/2) Hyperbolic Matrix(2050,-2943,893,-1282) (33/23,23/16) -> (39/17,62/27) Glide Reflection Matrix(1024,-1473,577,-830) (23/16,36/25) -> (39/22,16/9) Hyperbolic Matrix(393,-566,184,-265) (36/25,13/9) -> (2/1,15/7) Glide Reflection Matrix(497,-720,78,-113) (13/9,29/20) -> (19/3,13/2) Glide Reflection Matrix(2350,-3409,1489,-2160) (29/20,45/31) -> (71/45,30/19) Hyperbolic Matrix(1330,-1933,783,-1138) (45/31,16/11) -> (73/43,17/10) Glide Reflection Matrix(417,-608,286,-417) (16/11,19/13) -> (16/11,19/13) Reflection Matrix(77,-114,52,-77) (19/13,3/2) -> (19/13,3/2) Reflection Matrix(981,-1514,554,-855) (20/13,17/11) -> (23/13,62/35) Hyperbolic Matrix(401,-622,176,-273) (17/11,14/9) -> (25/11,16/7) Glide Reflection Matrix(701,-1092,450,-701) (14/9,39/25) -> (14/9,39/25) Reflection Matrix(274,-429,175,-274) (39/25,11/7) -> (39/25,11/7) Reflection Matrix(646,-1017,249,-392) (11/7,41/26) -> (44/17,13/5) Hyperbolic Matrix(4867,-7678,3004,-4739) (41/26,71/45) -> (81/50,47/29) Glide Reflection Matrix(3970,-6271,2431,-3840) (30/19,79/50) -> (80/49,49/30) Hyperbolic Matrix(5507,-8702,2108,-3331) (79/50,49/31) -> (47/18,81/31) Glide Reflection Matrix(992,-1569,545,-862) (49/31,19/12) -> (20/11,31/17) Hyperbolic Matrix(272,-433,49,-78) (27/17,8/5) -> (11/2,17/3) Hyperbolic Matrix(245,-394,74,-119) (8/5,21/13) -> (23/7,10/3) Hyperbolic Matrix(1442,-2335,415,-672) (34/21,115/71) -> (45/13,7/2) Hyperbolic Matrix(19666,-31855,12141,-19666) (115/71,277/171) -> (115/71,277/171) Reflection Matrix(27701,-44874,17100,-27701) (277/171,81/50) -> (277/171,81/50) Reflection Matrix(2265,-3688,998,-1625) (13/8,57/35) -> (59/26,25/11) Glide Reflection Matrix(3457,-5632,1022,-1665) (57/35,44/27) -> (71/21,44/13) Glide Reflection Matrix(6425,-10472,3942,-6425) (44/27,119/73) -> (44/27,119/73) Reflection Matrix(2262,-3689,1387,-2262) (119/73,31/19) -> (119/73,31/19) Reflection Matrix(1508,-2461,413,-674) (31/19,80/49) -> (51/14,11/3) Hyperbolic Matrix(121,-200,72,-119) (18/11,5/3) -> (5/3,22/13) Parabolic Matrix(5416,-9175,1497,-2536) (22/13,61/36) -> (123/34,76/21) Glide Reflection Matrix(11591,-19642,6840,-11591) (61/36,161/95) -> (61/36,161/95) Reflection Matrix(3704,-6279,2185,-3704) (161/95,39/23) -> (161/95,39/23) Reflection Matrix(8636,-14659,2373,-4028) (56/33,73/43) -> (131/36,91/25) Glide Reflection Matrix(1729,-2942,640,-1089) (17/10,63/37) -> (27/10,73/27) Glide Reflection Matrix(2841,-4838,616,-1049) (63/37,46/27) -> (23/5,60/13) Glide Reflection Matrix(6533,-11132,3834,-6533) (46/27,121/71) -> (46/27,121/71) Reflection Matrix(2058,-3509,1207,-2058) (121/71,29/17) -> (121/71,29/17) Reflection Matrix(1111,-1896,426,-727) (29/17,41/24) -> (13/5,47/18) Glide Reflection Matrix(1583,-2706,850,-1453) (41/24,53/31) -> (13/7,41/22) Hyperbolic Matrix(755,-1292,142,-243) (53/31,12/7) -> (37/7,16/3) Glide Reflection Matrix(329,-566,118,-203) (12/7,19/11) -> (25/9,14/5) Hyperbolic Matrix(3062,-5323,841,-1462) (33/19,40/23) -> (91/25,51/14) Glide Reflection Matrix(234,-407,23,-40) (40/23,7/4) -> (10/1,1/0) Hyperbolic Matrix(209,-368,46,-81) (7/4,23/13) -> (9/2,23/5) Glide Reflection Matrix(5334,-9451,1385,-2454) (62/35,101/57) -> (77/20,27/7) Glide Reflection Matrix(737,-1312,414,-737) (16/9,41/23) -> (16/9,41/23) Reflection Matrix(206,-369,115,-206) (41/23,9/5) -> (41/23,9/5) Reflection Matrix(251,-454,68,-123) (9/5,20/11) -> (11/3,26/7) Glide Reflection Matrix(1064,-1945,407,-744) (31/17,11/6) -> (81/31,34/13) Glide Reflection Matrix(270,-497,113,-208) (11/6,13/7) -> (31/13,12/5) Hyperbolic Matrix(2458,-4583,871,-1624) (41/22,28/15) -> (79/28,48/17) Hyperbolic Matrix(422,-795,155,-292) (15/8,2/1) -> (49/18,30/11) Hyperbolic Matrix(284,-613,101,-218) (15/7,13/6) -> (14/5,31/11) Hyperbolic Matrix(221,-484,100,-219) (13/6,11/5) -> (11/5,31/14) Parabolic Matrix(517,-1146,60,-133) (31/14,51/23) -> (17/2,9/1) Glide Reflection Matrix(875,-1942,278,-617) (51/23,20/9) -> (22/7,41/13) Hyperbolic Matrix(198,-443,59,-132) (20/9,9/4) -> (10/3,27/8) Hyperbolic Matrix(2917,-6618,666,-1511) (34/15,59/26) -> (35/8,92/21) Hyperbolic Matrix(389,-892,58,-133) (16/7,39/17) -> (20/3,7/1) Glide Reflection Matrix(912,-2095,175,-402) (62/27,23/10) -> (26/5,21/4) Hyperbolic Matrix(1741,-4020,754,-1741) (30/13,67/29) -> (30/13,67/29) Reflection Matrix(2145,-4958,928,-2145) (67/29,37/16) -> (67/29,37/16) Reflection Matrix(174,-403,19,-44) (37/16,7/3) -> (9/1,10/1) Hyperbolic Matrix(134,-315,57,-134) (7/3,45/19) -> (7/3,45/19) Reflection Matrix(721,-1710,304,-721) (45/19,19/8) -> (45/19,19/8) Reflection Matrix(435,-1036,76,-181) (19/8,31/13) -> (17/3,23/4) Hyperbolic Matrix(263,-634,56,-135) (12/5,29/12) -> (14/3,19/4) Glide Reflection Matrix(899,-2174,318,-769) (29/12,46/19) -> (48/17,17/6) Hyperbolic Matrix(2431,-5888,898,-2175) (46/19,63/26) -> (46/17,65/24) Glide Reflection Matrix(1289,-3126,374,-907) (63/26,17/7) -> (31/9,69/20) Hyperbolic Matrix(447,-1090,130,-317) (17/7,22/9) -> (24/7,31/9) Hyperbolic Matrix(91,-230,36,-91) (5/2,23/9) -> (5/2,23/9) Reflection Matrix(323,-828,126,-323) (23/9,18/7) -> (23/9,18/7) Reflection Matrix(340,-877,107,-276) (18/7,31/12) -> (19/6,16/5) Glide Reflection Matrix(1214,-3139,321,-830) (31/12,44/17) -> (34/9,53/14) Glide Reflection Matrix(405,-1066,106,-279) (21/8,29/11) -> (19/5,23/6) Hyperbolic Matrix(156,-419,35,-94) (8/3,27/10) -> (22/5,9/2) Hyperbolic Matrix(3853,-10420,1140,-3083) (73/27,46/17) -> (98/29,71/21) Hyperbolic Matrix(5021,-13604,1380,-3739) (65/24,84/31) -> (40/11,131/36) Hyperbolic Matrix(11593,-31416,4278,-11593) (84/31,187/69) -> (84/31,187/69) Reflection Matrix(1310,-3553,483,-1310) (187/69,19/7) -> (187/69,19/7) Reflection Matrix(5849,-15912,2150,-5849) (68/25,117/43) -> (68/25,117/43) Reflection Matrix(4213,-11466,1548,-4213) (117/43,49/18) -> (117/43,49/18) Reflection Matrix(223,-610,34,-93) (30/11,11/4) -> (13/2,20/3) Hyperbolic Matrix(375,-1034,136,-375) (11/4,47/17) -> (11/4,47/17) Reflection Matrix(424,-1175,153,-424) (47/17,25/9) -> (47/17,25/9) Reflection Matrix(2078,-5859,737,-2078) (31/11,189/67) -> (31/11,189/67) Reflection Matrix(10585,-29862,3752,-10585) (189/67,79/28) -> (189/67,79/28) Reflection Matrix(300,-853,83,-236) (17/6,3/1) -> (18/5,47/13) Glide Reflection Matrix(452,-1403,125,-388) (3/1,22/7) -> (47/13,123/34) Glide Reflection Matrix(1539,-4862,446,-1409) (41/13,19/6) -> (69/20,107/31) Hyperbolic Matrix(258,-829,61,-196) (16/5,29/9) -> (21/5,17/4) Hyperbolic Matrix(227,-734,30,-97) (29/9,13/4) -> (15/2,23/3) Hyperbolic Matrix(391,-1274,120,-391) (13/4,49/15) -> (13/4,49/15) Reflection Matrix(344,-1127,105,-344) (49/15,23/7) -> (49/15,23/7) Reflection Matrix(1067,-3604,278,-939) (27/8,98/29) -> (23/6,50/13) Glide Reflection Matrix(277,-938,44,-149) (44/13,17/5) -> (6/1,19/3) Glide Reflection Matrix(494,-1683,145,-494) (17/5,99/29) -> (17/5,99/29) Reflection Matrix(2377,-8118,696,-2377) (99/29,41/12) -> (99/29,41/12) Reflection Matrix(1823,-6306,416,-1439) (38/11,45/13) -> (92/21,57/13) Glide Reflection Matrix(99,-350,28,-99) (7/2,25/7) -> (7/2,25/7) Reflection Matrix(251,-900,70,-251) (25/7,18/5) -> (25/7,18/5) Reflection Matrix(859,-3110,166,-601) (76/21,29/8) -> (31/6,26/5) Hyperbolic Matrix(685,-2578,148,-557) (15/4,49/13) -> (37/8,51/11) Glide Reflection Matrix(3301,-12700,858,-3301) (50/13,127/33) -> (50/13,127/33) Reflection Matrix(5081,-19558,1320,-5081) (127/33,77/20) -> (127/33,77/20) Reflection Matrix(157,-676,36,-155) (17/4,13/3) -> (13/3,35/8) Parabolic Matrix(428,-1877,83,-364) (57/13,22/5) -> (5/1,31/6) Glide Reflection Matrix(285,-1316,34,-157) (60/13,37/8) -> (8/1,17/2) Glide Reflection Matrix(529,-2544,110,-529) (24/5,53/11) -> (24/5,53/11) Reflection Matrix(54,-265,11,-54) (53/11,5/1) -> (53/11,5/1) Reflection Matrix(161,-864,30,-161) (16/3,27/5) -> (16/3,27/5) Reflection Matrix(109,-594,20,-109) (27/5,11/2) -> (27/5,11/2) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(-1,0,2,1) (-1/1,1/0) -> (-1/1,0/1) Matrix(0,1,1,0) -> Matrix(-1,0,1,1) (-1/1,1/1) -> (-2/1,0/1) Matrix(422,-473,91,-102) -> Matrix(-1,0,1,1) *** -> (-2/1,0/1) Matrix(271,-306,240,-271) -> Matrix(-1,2,0,1) (9/8,17/15) -> (1/1,1/0) Matrix(239,-272,210,-239) -> Matrix(1,2,0,-1) (17/15,8/7) -> (-1/1,1/0) Matrix(267,-310,118,-137) -> Matrix(1,0,0,1) Matrix(854,-1003,235,-276) -> Matrix(3,4,-1,-1) -2/1 Matrix(1234,-1453,941,-1108) -> Matrix(1,0,3,1) 0/1 Matrix(1115,-1316,294,-347) -> Matrix(5,2,-2,-1) Matrix(233,-278,88,-105) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(694,-841,203,-246) -> Matrix(1,2,1,1) Matrix(549,-668,346,-421) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1754,-2149,1381,-1692) -> Matrix(1,0,-1,1) 0/1 Matrix(8741,-10716,7130,-8741) -> Matrix(-1,0,8,1) (38/31,141/115) -> (-1/4,0/1) Matrix(7474,-9165,6095,-7474) -> Matrix(1,0,5,-1) (141/115,65/53) -> (0/1,2/5) Matrix(4368,-5359,1265,-1552) -> Matrix(1,-2,-1,1) Matrix(1033,-1270,632,-777) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(1403,-1732,516,-637) -> Matrix(13,10,-4,-3) Matrix(228,-283,29,-36) -> Matrix(-1,0,3,1) *** -> (-2/3,0/1) Matrix(594,-751,367,-464) -> Matrix(1,0,3,1) 0/1 Matrix(762,-967,197,-250) -> Matrix(7,2,-3,-1) Matrix(1184,-1505,225,-286) -> Matrix(1,0,3,1) 0/1 Matrix(253,-324,196,-251) -> Matrix(1,0,10,1) 0/1 Matrix(2175,-2818,1282,-1661) -> Matrix(1,0,-4,1) 0/1 Matrix(2731,-3542,724,-939) -> Matrix(7,-2,-4,1) Matrix(835,-1084,446,-579) -> Matrix(9,-2,4,-1) Matrix(528,-689,305,-398) -> Matrix(1,0,-1,1) 0/1 Matrix(3436,-4501,1939,-2540) -> Matrix(1,0,3,-1) *** -> (0/1,2/3) Matrix(165,-218,28,-37) -> Matrix(3,-2,-2,1) Matrix(136,-183,55,-74) -> Matrix(1,0,-1,1) 0/1 Matrix(542,-737,353,-480) -> Matrix(1,0,-1,1) 0/1 Matrix(569,-774,136,-185) -> Matrix(3,-2,-2,1) Matrix(406,-555,297,-406) -> Matrix(1,0,1,-1) (15/11,37/27) -> (0/1,2/1) Matrix(593,-814,432,-593) -> Matrix(-1,2,0,1) (37/27,11/8) -> (1/1,1/0) Matrix(403,-556,108,-149) -> Matrix(1,-4,0,1) 1/0 Matrix(804,-1115,349,-484) -> Matrix(-1,0,1,1) *** -> (-2/1,0/1) Matrix(911,-1266,562,-781) -> Matrix(1,0,0,1) Matrix(691,-974,398,-561) -> Matrix(1,0,2,1) 0/1 Matrix(636,-899,133,-188) -> Matrix(-1,0,3,1) *** -> (-2/3,0/1) Matrix(555,-788,212,-301) -> Matrix(5,-2,-2,1) Matrix(394,-565,53,-76) -> Matrix(1,-4,-1,5) Matrix(2050,-2943,893,-1282) -> Matrix(-1,0,1,1) *** -> (-2/1,0/1) Matrix(1024,-1473,577,-830) -> Matrix(1,-2,1,-1) (0/1,2/1).(1/1,1/0) Matrix(393,-566,184,-265) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(497,-720,78,-113) -> Matrix(3,-8,-2,5) Matrix(2350,-3409,1489,-2160) -> Matrix(1,0,-1,1) 0/1 Matrix(1330,-1933,783,-1138) -> Matrix(1,-4,1,-5) Matrix(417,-608,286,-417) -> Matrix(-1,10,0,1) (16/11,19/13) -> (5/1,1/0) Matrix(77,-114,52,-77) -> Matrix(1,2,0,-1) (19/13,3/2) -> (-1/1,1/0) Matrix(981,-1514,554,-855) -> Matrix(1,2,0,1) 1/0 Matrix(401,-622,176,-273) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(701,-1092,450,-701) -> Matrix(1,2,0,-1) (14/9,39/25) -> (-1/1,1/0) Matrix(274,-429,175,-274) -> Matrix(-1,0,1,1) (39/25,11/7) -> (-2/1,0/1) Matrix(646,-1017,249,-392) -> Matrix(5,6,-1,-1) Matrix(4867,-7678,3004,-4739) -> Matrix(1,2,2,3) Matrix(3970,-6271,2431,-3840) -> Matrix(7,8,-1,-1) Matrix(5507,-8702,2108,-3331) -> Matrix(43,46,-14,-15) Matrix(992,-1569,545,-862) -> Matrix(7,6,1,1) Matrix(272,-433,49,-78) -> Matrix(1,2,-1,-1) (-2/1,0/1).(-1/1,1/0) Matrix(245,-394,74,-119) -> Matrix(1,0,2,1) 0/1 Matrix(1442,-2335,415,-672) -> Matrix(1,0,-1,1) 0/1 Matrix(19666,-31855,12141,-19666) -> Matrix(1,0,1,-1) (115/71,277/171) -> (0/1,2/1) Matrix(27701,-44874,17100,-27701) -> Matrix(1,0,2,-1) (277/171,81/50) -> (0/1,1/1) Matrix(2265,-3688,998,-1625) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(3457,-5632,1022,-1665) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(6425,-10472,3942,-6425) -> Matrix(-1,0,8,1) (44/27,119/73) -> (-1/4,0/1) Matrix(2262,-3689,1387,-2262) -> Matrix(1,0,1,-1) (119/73,31/19) -> (0/1,2/1) Matrix(1508,-2461,413,-674) -> Matrix(3,-2,-1,1) Matrix(121,-200,72,-119) -> Matrix(1,0,2,1) 0/1 Matrix(5416,-9175,1497,-2536) -> Matrix(3,-4,-1,1) Matrix(11591,-19642,6840,-11591) -> Matrix(-1,2,0,1) (61/36,161/95) -> (1/1,1/0) Matrix(3704,-6279,2185,-3704) -> Matrix(1,0,1,-1) (161/95,39/23) -> (0/1,2/1) Matrix(8636,-14659,2373,-4028) -> Matrix(11,-4,-3,1) Matrix(1729,-2942,640,-1089) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(2841,-4838,616,-1049) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(6533,-11132,3834,-6533) -> Matrix(-1,0,4,1) (46/27,121/71) -> (-1/2,0/1) Matrix(2058,-3509,1207,-2058) -> Matrix(1,0,3,-1) (121/71,29/17) -> (0/1,2/3) Matrix(1111,-1896,426,-727) -> Matrix(7,-4,-2,1) Matrix(1583,-2706,850,-1453) -> Matrix(1,0,0,1) Matrix(755,-1292,142,-243) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(329,-566,118,-203) -> Matrix(3,2,-2,-1) -1/1 Matrix(3062,-5323,841,-1462) -> Matrix(11,-4,-3,1) Matrix(234,-407,23,-40) -> Matrix(3,-2,-1,1) Matrix(209,-368,46,-81) -> Matrix(1,-2,-2,3) Matrix(5334,-9451,1385,-2454) -> Matrix(3,2,-1,-1) Matrix(737,-1312,414,-737) -> Matrix(-1,2,0,1) (16/9,41/23) -> (1/1,1/0) Matrix(206,-369,115,-206) -> Matrix(1,0,1,-1) (41/23,9/5) -> (0/1,2/1) Matrix(251,-454,68,-123) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1064,-1945,407,-744) -> Matrix(3,14,-1,-5) Matrix(270,-497,113,-208) -> Matrix(1,0,1,1) 0/1 Matrix(2458,-4583,871,-1624) -> Matrix(5,-8,-3,5) Matrix(422,-795,155,-292) -> Matrix(3,-8,-1,3) Matrix(284,-613,101,-218) -> Matrix(1,4,-1,-3) -2/1 Matrix(221,-484,100,-219) -> Matrix(1,2,-2,-3) -1/1 Matrix(517,-1146,60,-133) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(875,-1942,278,-617) -> Matrix(1,0,0,1) Matrix(198,-443,59,-132) -> Matrix(1,0,1,1) 0/1 Matrix(2917,-6618,666,-1511) -> Matrix(7,8,-8,-9) -1/1 Matrix(389,-892,58,-133) -> Matrix(5,6,-4,-5) *** -> (-3/2,-1/1) Matrix(912,-2095,175,-402) -> Matrix(1,0,1,1) 0/1 Matrix(1741,-4020,754,-1741) -> Matrix(1,2,0,-1) (30/13,67/29) -> (-1/1,1/0) Matrix(2145,-4958,928,-2145) -> Matrix(5,4,-6,-5) (67/29,37/16) -> (-1/1,-2/3) Matrix(174,-403,19,-44) -> Matrix(1,0,1,1) 0/1 Matrix(134,-315,57,-134) -> Matrix(-1,0,1,1) (7/3,45/19) -> (-2/1,0/1) Matrix(721,-1710,304,-721) -> Matrix(1,0,6,-1) (45/19,19/8) -> (0/1,1/3) Matrix(435,-1036,76,-181) -> Matrix(5,-2,-2,1) Matrix(263,-634,56,-135) -> Matrix(1,-2,-2,3) Matrix(899,-2174,318,-769) -> Matrix(3,-10,-2,7) Matrix(2431,-5888,898,-2175) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1289,-3126,374,-907) -> Matrix(1,-8,0,1) 1/0 Matrix(447,-1090,130,-317) -> Matrix(1,2,0,1) 1/0 Matrix(91,-230,36,-91) -> Matrix(-1,2,0,1) (5/2,23/9) -> (1/1,1/0) Matrix(323,-828,126,-323) -> Matrix(1,16,0,-1) (23/9,18/7) -> (-8/1,1/0) Matrix(340,-877,107,-276) -> Matrix(1,6,-1,-7) Matrix(1214,-3139,321,-830) -> Matrix(3,14,-1,-5) Matrix(405,-1066,106,-279) -> Matrix(1,0,0,1) Matrix(156,-419,35,-94) -> Matrix(1,0,-1,1) 0/1 Matrix(3853,-10420,1140,-3083) -> Matrix(1,4,0,1) 1/0 Matrix(5021,-13604,1380,-3739) -> Matrix(7,32,-2,-9) -4/1 Matrix(11593,-31416,4278,-11593) -> Matrix(17,72,-4,-17) (84/31,187/69) -> (-9/2,-4/1) Matrix(1310,-3553,483,-1310) -> Matrix(3,8,-1,-3) (187/69,19/7) -> (-4/1,-2/1) Matrix(5849,-15912,2150,-5849) -> Matrix(37,114,-12,-37) (68/25,117/43) -> (-19/6,-3/1) Matrix(4213,-11466,1548,-4213) -> Matrix(23,66,-8,-23) (117/43,49/18) -> (-3/1,-11/4) Matrix(223,-610,34,-93) -> Matrix(5,14,-4,-11) Matrix(375,-1034,136,-375) -> Matrix(13,28,-6,-13) (11/4,47/17) -> (-7/3,-2/1) Matrix(424,-1175,153,-424) -> Matrix(13,24,-7,-13) (47/17,25/9) -> (-2/1,-12/7) Matrix(2078,-5859,737,-2078) -> Matrix(5,8,-3,-5) (31/11,189/67) -> (-2/1,-4/3) Matrix(10585,-29862,3752,-10585) -> Matrix(11,20,-6,-11) (189/67,79/28) -> (-2/1,-5/3) Matrix(300,-853,83,-236) -> Matrix(3,2,-1,-1) Matrix(452,-1403,125,-388) -> Matrix(5,4,-1,-1) Matrix(1539,-4862,446,-1409) -> Matrix(1,-2,0,1) 1/0 Matrix(258,-829,61,-196) -> Matrix(9,4,-7,-3) Matrix(227,-734,30,-97) -> Matrix(5,2,-8,-3) -1/2 Matrix(391,-1274,120,-391) -> Matrix(-1,0,10,1) (13/4,49/15) -> (-1/5,0/1) Matrix(344,-1127,105,-344) -> Matrix(1,0,5,-1) (49/15,23/7) -> (0/1,2/5) Matrix(1067,-3604,278,-939) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(277,-938,44,-149) -> Matrix(3,-2,-2,1) Matrix(494,-1683,145,-494) -> Matrix(1,0,1,-1) (17/5,99/29) -> (0/1,2/1) Matrix(2377,-8118,696,-2377) -> Matrix(-1,2,0,1) (99/29,41/12) -> (1/1,1/0) Matrix(1823,-6306,416,-1439) -> Matrix(7,6,-8,-7) *** -> (-1/1,-3/4) Matrix(99,-350,28,-99) -> Matrix(-1,2,0,1) (7/2,25/7) -> (1/1,1/0) Matrix(251,-900,70,-251) -> Matrix(1,12,0,-1) (25/7,18/5) -> (-6/1,1/0) Matrix(859,-3110,166,-601) -> Matrix(1,4,0,1) 1/0 Matrix(685,-2578,148,-557) -> Matrix(1,2,-2,-5) Matrix(3301,-12700,858,-3301) -> Matrix(1,6,0,-1) (50/13,127/33) -> (-3/1,1/0) Matrix(5081,-19558,1320,-5081) -> Matrix(5,12,-2,-5) (127/33,77/20) -> (-3/1,-2/1) Matrix(157,-676,36,-155) -> Matrix(13,14,-14,-15) -1/1 Matrix(428,-1877,83,-364) -> Matrix(7,6,-1,-1) Matrix(285,-1316,34,-157) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(529,-2544,110,-529) -> Matrix(-1,0,12,1) (24/5,53/11) -> (-1/6,0/1) Matrix(54,-265,11,-54) -> Matrix(-1,0,1,1) (53/11,5/1) -> (-2/1,0/1) Matrix(161,-864,30,-161) -> Matrix(-1,4,0,1) (16/3,27/5) -> (2/1,1/0) Matrix(109,-594,20,-109) -> Matrix(1,6,0,-1) (27/5,11/2) -> (-3/1,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.