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 -1/1 -1/2 -1/1 -2/3 -9/19 -1/1 -6/7 -8/17 -5/6 -7/15 -3/4 -13/28 -1/1 -4/5 -6/13 -3/4 -11/24 -4/3 -1/1 -16/35 -13/14 -21/46 -1/1 -8/9 -5/11 -1/1 -4/5 -14/31 -13/16 -9/20 -1/1 -4/5 -13/29 -3/4 -17/38 -5/7 -2/3 -4/9 -1/2 -19/43 -3/4 -34/77 -3/4 -15/34 -5/7 -2/3 -11/25 -1/1 0/1 -29/66 -1/1 0/1 -18/41 -5/4 -7/16 -1/1 -6/7 -24/55 -31/38 -17/39 -4/5 -7/9 -10/23 -3/4 -13/30 -1/1 -8/9 -16/37 -5/6 -3/7 -3/4 -17/40 -2/3 -3/5 -14/33 1/0 -11/26 -1/1 -6/7 -30/71 -3/4 -19/45 -4/5 -7/9 -8/19 -7/10 -21/50 -1/1 0/1 -13/31 -1/1 -2/3 -31/74 -1/1 0/1 -18/43 1/0 -5/12 -1/1 -4/5 -17/41 -3/4 -12/29 -1/2 -19/46 -1/1 0/1 -7/17 -1/1 -4/5 -23/56 -9/11 -4/5 -16/39 -5/6 -9/22 -4/5 -7/9 -11/27 -3/4 -13/32 -8/11 -5/7 -2/5 -3/4 -11/28 -4/5 -7/9 -9/23 -5/7 -2/3 -16/41 -1/2 -7/18 -1/1 -2/3 -19/49 -1/1 -2/3 -31/80 -1/1 -8/9 -12/31 -1/2 -29/75 -1/1 -4/5 -46/119 -7/8 -17/44 -9/11 -4/5 -5/13 -3/4 -23/60 -27/37 -8/11 -41/107 -27/37 -8/11 -59/154 -8/11 -85/117 -18/47 -3/4 -31/81 -18/25 -5/7 -44/115 -7/10 -13/34 -18/25 -5/7 -21/55 -8/11 -5/7 -29/76 -5/7 -32/45 -8/21 -7/10 -19/50 -5/7 -2/3 -30/79 -3/4 -11/29 -5/7 -2/3 -14/37 -5/8 -3/8 -5/7 -2/3 -16/43 -9/14 -13/35 -2/3 -3/5 -23/62 -2/3 -3/5 -10/27 -3/4 -27/73 -1/1 -2/3 -17/46 -1/1 0/1 -24/65 -5/6 -7/19 -3/4 -25/68 -28/39 -5/7 -18/49 -31/44 -11/30 -13/19 -2/3 -15/41 -2/3 -3/5 -4/11 -1/2 -13/36 -1/1 -4/5 -9/25 -3/4 -23/64 -11/15 -8/11 -37/103 -11/15 -8/11 -51/142 -11/15 -8/11 -14/39 -3/4 -5/14 -5/7 -2/3 -21/59 -9/13 -2/3 -16/45 -1/2 -11/31 -7/10 -6/17 -5/8 -7/20 -5/7 -2/3 -8/23 -15/22 -9/26 -2/3 -11/17 -1/3 -1/1 -2/3 -8/25 -15/22 -7/22 -2/3 -15/23 -6/19 -5/8 -5/16 -5/7 -2/3 -9/29 -5/8 -13/42 -2/3 -3/5 -17/55 -2/3 -3/5 -4/13 -1/2 -11/36 -3/5 -4/7 -7/23 -1/2 -17/56 -1/3 0/1 -27/89 -1/1 0/1 -10/33 1/0 -3/10 -1/1 -2/3 -11/37 -9/13 -2/3 -19/64 -25/37 -2/3 -8/27 -9/14 -13/44 -1/1 -2/3 -31/105 -2/3 -3/5 -18/61 -5/8 -5/17 -1/2 -17/58 -1/1 -2/3 -12/41 -5/6 -7/24 -8/11 -5/7 -16/55 -7/10 -9/31 -9/13 -2/3 -11/38 -21/31 -2/3 -2/7 -5/8 -9/32 -5/7 -2/3 -16/57 -17/26 -7/25 -2/3 -7/11 -19/68 -17/27 -22/35 -12/43 -31/50 -5/18 -3/5 -4/7 -13/47 -3/5 -4/7 -8/29 -1/2 -27/98 -8/13 -3/5 -46/167 -19/32 -19/69 -3/5 -4/7 -11/40 -3/5 -4/7 -3/11 -1/2 -13/48 -1/3 0/1 -36/133 -1/14 -59/218 0/1 1/15 -23/85 0/1 1/1 -33/122 -1/1 0/1 -10/37 1/0 -27/100 -2/1 -1/1 -44/163 -5/6 -17/63 -1/1 -2/3 -7/26 -1/1 0/1 -11/41 -1/1 -2/3 -4/15 -5/6 -9/34 -5/7 -2/3 -14/53 -5/8 -5/19 -1/1 -2/3 -6/23 -3/4 -1/4 -2/3 -3/5 -6/25 -11/20 -5/21 -1/2 -4/17 -1/2 -7/30 0/1 1/1 -10/43 -7/4 -13/56 -10/9 -1/1 -3/13 -1/1 -2/3 -11/48 -2/1 -1/1 -8/35 -5/6 -5/22 -5/7 -2/3 -7/31 -3/4 -2/9 -3/4 -7/32 -2/3 -15/23 -26/119 -5/8 -19/87 -13/20 -12/55 -9/14 -5/23 -2/3 -7/11 -13/60 -18/29 -13/21 -8/37 -1/2 -3/14 -2/3 -7/11 -7/33 -2/3 -3/5 -11/52 -2/3 -3/5 -4/19 -11/18 -13/62 -3/5 -28/47 -9/43 -3/5 -10/17 -5/24 -3/5 -4/7 -6/29 -5/8 -7/34 -3/5 -10/17 -8/39 -31/54 -1/5 -1/2 -8/41 -1/10 -7/36 0/1 1/1 -6/31 1/0 -5/26 -1/1 0/1 -4/21 -3/2 -11/58 -1/1 -12/13 -7/37 -1/1 -4/5 -3/16 -1/1 -4/5 -5/27 -5/7 -2/3 -7/38 -2/3 -3/5 -2/11 -3/4 -5/28 -2/3 -11/17 -13/73 -5/8 -34/191 -3/4 -21/118 -2/3 -19/29 -8/45 -9/14 -3/17 -2/3 -3/5 -4/23 -9/14 -9/52 -2/3 -7/11 -5/29 -5/8 -1/6 -3/5 -4/7 -4/25 -1/2 -3/19 -1/2 -2/13 -3/8 -3/20 0/1 1/1 -1/7 -1/1 -2/3 -4/29 -1/2 -3/22 -5/7 -2/3 -2/15 -5/8 -1/8 -2/3 -3/5 -2/17 -9/16 -1/9 -1/2 -1/10 -1/1 0/1 -1/11 -1/1 -2/3 0/1 -1/2 1/10 -1/3 0/1 2/19 1/0 1/9 -1/1 0/1 2/17 -1/4 1/8 -1/1 -2/3 2/15 -7/12 3/22 -4/7 -5/9 1/7 -1/2 2/13 -5/12 5/32 -11/27 -2/5 3/19 -2/5 -1/3 1/6 -1/3 0/1 3/17 -1/4 2/11 -1/4 5/27 0/1 8/43 1/6 3/16 0/1 1/1 7/37 1/0 4/21 -1/2 5/26 -1/5 0/1 1/5 -1/1 0/1 4/19 -1/2 11/52 -1/1 0/1 7/33 -3/4 3/14 -5/7 -2/3 8/37 -9/14 13/60 -8/13 -3/5 5/23 -1/2 7/32 -1/1 -2/3 2/9 -7/12 7/31 -6/11 -7/13 12/53 -1/2 5/22 -8/15 -9/17 3/13 -1/2 7/30 -12/25 -11/23 11/47 -9/19 -8/17 4/17 -1/2 9/38 -5/11 -14/31 5/21 -5/11 -4/9 1/4 -2/5 -1/3 5/19 -1/4 9/34 -1/5 0/1 13/49 -1/5 0/1 4/15 -1/6 3/11 -1/3 0/1 14/51 -1/4 11/40 -1/5 0/1 8/29 -1/6 5/18 -1/7 0/1 7/25 0/1 9/32 0/1 1/7 2/7 1/0 7/24 -1/3 0/1 5/17 0/1 1/1 13/44 2/3 1/1 21/71 1/2 8/27 3/2 19/64 4/1 5/1 11/37 1/0 3/10 -2/1 -1/1 4/13 -5/6 9/29 -1/1 -2/3 5/16 -1/1 -2/3 1/3 -1/2 6/17 -1/4 11/31 -1/3 0/1 5/14 -2/5 -1/3 4/11 -3/10 15/41 -1/4 26/71 -7/32 11/30 -1/3 0/1 18/49 -1/4 7/19 -1/3 0/1 31/84 -1/3 -2/7 24/65 -1/2 41/111 -1/2 17/46 -4/11 -1/3 44/119 -7/22 27/73 -3/10 37/100 -1/3 0/1 10/27 -1/4 33/89 -2/7 -3/11 23/62 -3/11 -4/15 13/35 -1/4 3/8 -1/5 0/1 14/37 1/0 11/29 -1/2 19/50 -4/11 -1/3 8/21 -1/2 5/13 -1/5 0/1 22/57 -1/4 17/44 -1/5 0/1 12/31 -1/6 7/18 -1/9 0/1 9/23 0/1 11/28 0/1 1/9 2/5 1/0 11/27 0/1 1/1 9/22 -1/1 0/1 16/39 1/2 39/95 0/1 1/1 23/56 0/1 1/3 7/17 1/0 33/80 -2/1 -5/3 26/63 1/0 19/46 -1/1 -2/3 50/121 1/0 31/75 -1/1 0/1 12/29 -1/2 29/70 -4/3 -1/1 17/41 -1/1 -2/3 5/12 0/1 1/1 18/43 1/0 31/74 -2/1 -1/1 13/31 1/0 21/50 -2/1 -1/1 8/19 -3/2 3/7 -1/1 0/1 10/23 -13/16 17/39 -3/4 24/55 -13/18 7/16 -5/7 -2/3 18/41 -5/8 11/25 -1/2 4/9 -1/2 13/29 -4/7 -5/9 9/20 -5/9 -6/11 5/11 -1/2 11/24 -7/15 -6/13 17/37 -5/11 -4/9 23/50 -6/13 -5/11 6/13 -7/16 13/28 -2/5 -1/3 7/15 -3/7 -2/5 1/2 -1/3 0/1 10/19 1/8 9/17 0/1 1/3 8/15 1/2 23/43 0/1 1/1 15/28 0/1 1/1 7/13 1/0 13/24 -2/1 -1/1 6/11 1/0 17/31 -1/2 28/51 -1/2 11/20 -1/3 0/1 16/29 1/2 5/9 -1/1 0/1 9/16 0/1 1/1 22/39 1/0 13/23 1/0 30/53 -1/4 47/83 -1/3 0/1 17/30 0/1 1/3 4/7 -3/2 15/26 -1/1 -2/3 26/45 1/0 11/19 -1/1 0/1 18/31 -7/8 7/12 -1/1 -2/3 31/53 -1/2 55/94 -2/3 -3/5 24/41 -1/2 41/70 -4/9 -3/7 17/29 -1/1 0/1 27/46 -1/1 -4/5 64/109 -7/10 37/63 -1/2 10/17 -3/4 3/5 -1/2 14/23 -5/12 25/41 -7/17 -2/5 36/59 -23/58 11/18 -2/5 -1/3 41/67 -3/8 30/49 -3/8 49/80 -2/5 -1/3 19/31 -2/5 -1/3 27/44 -1/3 -2/7 35/57 -1/4 8/13 -1/2 21/34 -2/5 -1/3 34/55 -3/8 47/76 -2/5 -1/3 13/21 -2/5 -1/3 18/29 -5/16 5/8 -2/5 -1/3 22/35 -5/16 17/27 -3/10 29/46 -13/45 -2/7 41/65 -2/7 -11/39 12/19 -7/26 31/49 -1/4 50/79 -1/4 19/30 -4/17 -3/13 45/71 -1/4 26/41 -1/4 33/52 -2/9 -1/5 7/11 -1/5 0/1 9/14 0/1 1/1 20/31 -1/2 31/48 0/1 1/3 42/65 1/0 11/17 -1/2 24/37 -1/2 13/20 -1/3 0/1 2/3 -1/4 13/19 0/1 24/35 1/22 11/16 0/1 1/9 31/45 1/6 20/29 1/6 29/42 2/7 1/3 9/13 0/1 1/3 25/36 2/3 1/1 16/23 1/2 23/33 1/2 30/43 1/0 37/53 0/1 1/1 7/10 1/1 2/1 26/37 1/0 71/101 1/0 45/64 -4/1 -3/1 19/27 -3/1 -2/1 12/17 -3/2 17/24 -1/1 0/1 22/31 -5/4 27/38 -1/1 -2/3 5/7 -1/2 28/39 -1/2 51/71 -1/3 0/1 23/32 -1/3 0/1 18/25 -1/4 13/18 -1/1 0/1 34/47 -1/4 21/29 -1/3 0/1 8/11 -1/6 11/15 0/1 1/3 25/34 3/5 2/3 14/19 5/4 31/42 3/1 4/1 48/65 9/2 17/23 1/0 3/4 -1/1 0/1 16/21 -1/2 29/38 -2/1 -1/1 13/17 -1/1 -2/3 23/30 -1/1 -2/3 56/73 -1/2 33/43 -1/2 10/13 -3/4 7/9 -1/2 18/23 -5/12 47/60 -3/7 -2/5 29/37 -3/7 -2/5 40/51 -1/2 11/14 -2/5 -1/3 37/47 -1/2 26/33 -1/4 15/19 -2/5 -1/3 19/24 -4/11 -1/3 23/29 -1/4 4/5 -1/2 17/21 -1/3 0/1 30/37 -1/4 43/53 0/1 13/16 -1/3 0/1 35/43 -1/3 0/1 22/27 -1/4 53/65 -2/5 -1/3 31/38 -1/3 -4/13 40/49 -3/10 9/11 -1/4 14/17 -3/20 5/6 0/1 1/1 16/19 -1/2 59/70 -10/9 -1/1 43/51 -1/1 -4/5 27/32 -1/1 -4/5 11/13 -1/2 39/46 -2/5 -1/3 28/33 -1/2 17/20 -1/3 0/1 23/27 -1/3 0/1 29/34 -1/3 0/1 6/7 -1/4 13/15 -1/4 33/38 -2/9 -1/5 20/23 -1/6 27/31 -1/7 0/1 7/8 -1/9 0/1 15/17 0/1 23/26 0/1 1/21 8/9 1/6 1/1 -1/1 0/1 11/10 -1/1 0/1 10/9 1/0 9/8 -1/7 0/1 17/15 0/1 25/22 0/1 1/19 8/7 1/6 7/6 0/1 1/1 27/23 -1/1 0/1 20/17 1/2 33/28 1/1 2/1 13/11 1/0 32/27 -3/2 19/16 -2/1 -1/1 6/5 -1/4 23/19 0/1 1/7 17/14 0/1 1/3 28/23 1/2 11/9 1/2 38/31 3/4 141/115 1/1 103/84 1/1 10/9 65/53 1/1 4/3 27/22 2/1 3/1 70/57 1/0 43/35 -2/1 -1/1 16/13 -1/2 21/17 0/1 1/3 26/21 3/8 5/4 0/1 1/1 34/27 1/0 29/23 1/0 24/19 1/2 19/15 0/1 1/1 71/56 1/1 14/13 52/41 3/2 33/26 0/1 1/1 113/89 1/1 6/5 80/63 3/2 47/37 3/2 61/48 5/3 2/1 14/11 1/0 9/7 1/0 22/17 1/0 35/27 -2/1 -1/1 48/37 -3/2 61/47 1/0 13/10 -2/1 -1/1 43/33 -3/2 30/23 -3/4 17/13 -1/1 0/1 55/42 -1/1 0/1 38/29 1/0 21/16 -2/1 -1/1 25/19 1/0 4/3 -1/2 23/17 -1/2 88/65 -1/2 65/48 -1/5 0/1 42/31 -1/4 19/14 -1/1 0/1 53/39 -1/2 34/25 1/0 49/36 -1/3 0/1 15/11 -1/3 0/1 26/19 -1/12 37/27 0/1 48/35 1/22 11/8 0/1 1/5 18/13 5/8 43/31 6/7 1/1 111/80 10/11 1/1 68/49 17/18 93/67 1/1 25/18 1/1 6/5 7/5 1/0 24/17 -3/2 41/29 -4/3 -1/1 17/12 -1/1 -2/3 10/7 1/0 43/30 -2/3 -3/5 33/23 -1/2 56/39 -9/22 79/55 -4/11 -1/3 23/16 -1/3 0/1 59/41 -1/2 95/66 -1/1 0/1 36/25 -1/2 49/34 -2/5 -1/3 13/9 -1/3 0/1 29/20 -1/3 -2/7 45/31 -1/4 61/42 -1/5 0/1 16/11 -1/6 19/13 0/1 22/15 1/8 3/2 0/1 1/1 20/13 -7/6 17/11 -1/2 48/31 -1/6 31/20 -1/1 0/1 14/9 -1/4 39/25 0/1 64/41 1/18 25/16 0/1 1/7 11/7 0/1 1/1 52/33 1/2 93/59 1/2 41/26 0/1 1/1 153/97 0/1 1/1 112/71 1/2 71/45 1/0 172/109 -1/2 101/64 -1/3 0/1 30/19 1/0 79/50 0/1 1/1 49/31 1/0 68/43 -1/2 19/12 0/1 1/1 65/41 -1/3 0/1 111/70 -1/15 0/1 46/29 1/8 27/17 1/2 35/22 0/1 1/1 8/5 1/2 21/13 1/1 2/1 97/60 0/1 1/1 76/47 1/2 55/34 1/1 2/1 34/21 1/0 149/92 -1/1 0/1 115/71 0/1 1/1 196/121 1/2 277/171 1/1 81/50 0/1 1/1 128/79 1/2 47/29 1/2 13/8 1/1 4/3 70/43 7/4 57/35 1/0 44/27 1/2 119/73 1/1 194/119 17/16 75/46 1/1 8/7 31/19 1/1 4/3 111/68 4/3 7/5 191/117 3/2 80/49 3/2 49/30 11/7 8/5 165/101 18/11 5/3 281/172 48/29 5/3 397/243 5/3 116/71 17/10 67/41 7/4 18/11 1/0 5/3 1/0 22/13 1/0 61/36 -23/11 -2/1 161/95 -2/1 261/154 -2/1 -93/47 100/59 -35/18 39/23 -2/1 -5/3 56/33 -3/2 73/43 1/0 17/10 -2/1 -5/3 80/47 -3/2 63/37 -3/2 46/27 -5/4 121/71 -1/1 196/115 -9/10 75/44 -1/1 -2/3 29/17 -2/1 -1/1 70/41 1/0 111/65 -3/2 41/24 -4/3 -1/1 53/31 -3/2 65/38 -4/3 -1/1 12/7 -1/2 19/11 -1/1 0/1 83/48 -1/1 -4/5 64/37 -1/2 45/26 -1/1 -2/3 26/15 1/0 33/19 -1/2 106/61 1/0 73/42 -1/1 -2/3 40/23 -1/2 7/4 -1/1 0/1 30/17 -1/4 53/30 0/1 1/3 23/13 1/0 62/35 -9/8 225/127 -1/1 163/92 -1/1 -20/21 101/57 -1/1 -6/7 39/22 -1/1 -2/3 55/31 -1/3 0/1 16/9 -1/2 41/23 0/1 66/37 1/8 25/14 0/1 1/3 9/5 0/1 1/1 29/16 5/3 2/1 20/11 9/2 51/28 11/1 12/1 31/17 1/0 73/40 -17/1 -16/1 42/23 1/0 11/6 -3/1 -2/1 24/13 -1/2 37/20 -1/1 0/1 13/7 1/0 41/22 -2/1 -1/1 28/15 -1/2 15/8 -1/1 0/1 17/9 -1/1 0/1 19/10 -1/1 0/1 21/11 0/1 2/1 1/0 17/8 0/1 1/1 15/7 0/1 1/1 58/27 1/0 43/20 2/3 1/1 28/13 1/2 13/6 1/1 2/1 11/5 1/0 31/14 -9/1 -8/1 51/23 -7/1 -6/1 20/9 -11/2 69/31 -9/2 49/22 -5/1 -14/3 29/13 -5/1 -4/1 9/4 -3/1 -2/1 34/15 -7/4 59/26 -4/3 -1/1 25/11 1/0 66/29 -23/8 41/18 -7/3 -2/1 16/7 -3/2 55/24 -1/1 0/1 39/17 1/0 62/27 1/0 85/37 -3/1 -2/1 108/47 -5/2 23/10 -2/1 -5/3 30/13 1/0 67/29 -2/1 104/45 -11/6 37/16 -2/1 -5/3 44/19 -3/2 7/3 -2/1 -1/1 26/11 -5/4 45/19 -1/1 64/27 -9/10 19/8 -1/1 -2/3 31/13 -1/2 43/18 0/1 1/1 12/5 -1/2 41/17 0/1 1/1 111/46 6/7 1/1 70/29 5/4 29/12 1/1 2/1 46/19 1/0 109/45 2/1 3/1 172/71 7/2 63/26 3/1 4/1 17/7 1/0 22/9 -13/4 49/20 -8/3 -13/5 27/11 -7/3 -2/1 5/2 -2/1 -1/1 23/9 -1/1 41/16 -1/1 -8/9 18/7 -3/4 103/40 -2/3 -3/5 85/33 -1/1 -4/5 67/26 -5/7 -2/3 49/19 -1/2 31/12 -1/1 -2/3 75/29 -1/2 44/17 -1/2 101/39 -1/2 57/22 -3/5 -4/7 13/5 -1/1 0/1 60/23 -3/2 47/18 -1/1 -2/3 128/49 -1/2 81/31 -1/2 34/13 1/0 21/8 -1/1 -2/3 29/11 -1/2 66/25 -1/4 37/14 -1/3 0/1 8/3 1/2 35/13 1/0 62/23 1/0 151/56 -8/1 -23/3 89/33 -8/1 -7/1 116/43 -37/6 27/10 -5/1 -4/1 73/27 1/0 46/17 1/0 65/24 -4/1 -3/1 84/31 -7/2 187/69 -3/1 103/38 -3/1 -8/3 19/7 -3/1 -2/1 68/25 -13/6 117/43 -2/1 166/61 -31/16 49/18 -2/1 -9/5 79/29 -3/2 109/40 -2/1 -1/1 30/11 1/0 11/4 -4/3 -1/1 47/17 -1/1 83/30 -1/1 -22/23 36/13 -9/10 25/9 -1/1 -2/3 14/5 -3/4 45/16 -2/5 -1/3 31/11 -1/1 0/1 110/39 1/0 189/67 -1/1 79/28 -1/1 -2/3 127/45 -1/2 48/17 -1/2 17/6 -1/3 0/1 20/7 -1/2 23/8 -1/7 0/1 3/1 1/0 25/8 -15/7 -2/1 22/7 -7/4 41/13 -2/1 -1/1 19/6 -3/1 -2/1 16/5 -3/2 45/14 -13/9 -10/7 29/9 -4/3 -1/1 13/4 -6/5 -1/1 49/15 -1/1 85/26 -1/1 -24/25 36/11 -9/10 23/7 -1/1 -2/3 10/3 1/0 37/11 1/0 64/19 -13/2 91/27 -6/1 -5/1 209/62 -13/3 -4/1 118/35 1/0 27/8 -4/1 -3/1 125/37 -3/1 -2/1 98/29 1/0 71/21 1/0 115/34 -10/3 -3/1 44/13 -5/2 61/18 -3/1 -8/3 17/5 -3/1 -2/1 58/17 -25/12 99/29 -2/1 140/41 -67/34 41/12 -2/1 -21/11 24/7 -17/10 31/9 -3/2 69/20 -13/9 -10/7 107/31 -10/7 -7/5 38/11 -11/8 83/24 -2/1 -1/1 45/13 -4/3 -1/1 97/28 -4/3 -1/1 149/43 -1/1 52/15 -3/2 7/2 -4/3 -1/1 25/7 -1/1 43/12 -1/1 -18/19 18/5 -7/8 47/13 -5/6 123/34 -17/21 -4/5 76/21 -27/34 29/8 -1/1 -2/3 98/27 -3/4 69/19 -3/4 40/11 -1/2 131/36 -1/1 -2/3 91/25 -1/2 51/14 -1/1 -2/3 62/17 -3/4 11/3 -1/1 -2/3 37/10 -4/7 -5/9 100/27 -1/2 63/17 -1/2 26/7 -5/12 15/4 0/1 1/1 64/17 -1/6 49/13 0/1 1/1 83/22 0/1 1/1 34/9 1/0 53/14 0/1 1/1 72/19 3/2 19/5 1/0 23/6 -1/1 0/1 50/13 1/0 127/33 -2/1 77/20 -2/1 -1/1 27/7 -2/1 -1/1 4/1 -1/2 25/6 -1/1 0/1 21/5 0/1 1/1 59/14 0/1 1/3 38/9 3/4 17/4 0/1 1/1 13/3 1/0 35/8 -6/1 -5/1 92/21 -7/2 149/34 -5/1 -4/1 57/13 -5/1 -4/1 79/18 -21/5 -4/1 22/5 1/0 75/17 -7/2 128/29 -19/6 53/12 -3/1 -14/5 84/19 -5/2 199/45 1/0 115/26 -4/1 -3/1 261/59 -3/1 146/33 -11/4 31/7 -3/1 -2/1 9/2 -2/1 -1/1 32/7 -3/2 55/12 -4/3 -1/1 133/29 -8/7 -1/1 211/46 -22/21 -1/1 289/63 -1/1 78/17 -7/8 23/5 1/0 83/18 -5/1 -4/1 60/13 -5/2 97/21 -3/1 -8/3 37/8 -7/3 -2/1 88/19 -5/2 51/11 -7/3 -2/1 14/3 -7/4 33/7 -3/2 118/25 -29/20 85/18 -10/7 -7/5 52/11 -3/2 123/26 -10/7 -7/5 317/67 -7/5 194/41 -11/8 71/15 -7/5 -4/3 19/4 -4/3 -1/1 24/5 -7/6 53/11 -1/1 82/17 -15/16 29/6 -1/1 -4/5 5/1 -2/1 -1/1 31/6 -10/7 -7/5 26/5 -21/16 47/9 -5/4 21/4 -6/5 -1/1 58/11 -9/8 37/7 -7/6 90/17 -9/8 53/10 -6/5 -1/1 16/3 -11/10 27/5 -1/1 38/7 -23/24 11/2 -1/1 -6/7 28/5 -13/18 17/3 -1/2 23/4 -1/1 -2/3 52/9 -1/2 81/14 -1/1 0/1 191/33 0/1 110/19 1/0 29/5 -1/1 0/1 6/1 1/0 31/5 -1/2 56/9 -1/2 25/4 -1/1 -2/3 19/3 -1/1 0/1 32/5 1/2 77/12 0/1 1/1 45/7 1/0 13/2 -2/1 -1/1 20/3 -1/2 27/4 -1/3 0/1 7/1 1/0 29/4 -7/3 -2/1 22/3 1/0 15/2 -4/3 -1/1 23/3 -2/1 -1/1 8/1 -3/2 25/3 1/0 17/2 -2/1 -5/3 26/3 -11/8 35/4 -4/3 -9/7 44/5 -7/6 9/1 -4/3 -1/1 19/2 -16/15 -1/1 29/3 -1/1 10/1 -7/8 11/1 -1/2 23/2 -1/1 0/1 12/1 -1/2 1/0 -1/1 0/1 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(1,2,-2,-3) Matrix(2195,1042,1582,751) -> Matrix(13,12,14,13) Matrix(2789,1316,604,285) -> Matrix(13,10,-4,-3) Matrix(841,394,1206,565) -> Matrix(5,4,6,5) Matrix(1917,892,836,389) -> Matrix(5,4,-4,-3) Matrix(2025,938,598,277) -> Matrix(7,4,-2,-1) Matrix(593,272,944,433) -> Matrix(1,2,-4,-7) Matrix(1297,594,238,109) -> Matrix(9,10,-10,-11) Matrix(2827,1292,1652,755) -> Matrix(13,12,-12,-11) Matrix(3887,1774,2706,1235) -> Matrix(9,8,-26,-23) Matrix(1403,634,582,263) -> Matrix(5,4,6,5) Matrix(817,368,464,209) -> Matrix(5,4,-4,-3) Matrix(347,156,932,419) -> Matrix(5,4,-24,-19) Matrix(1161,520,3128,1401) -> Matrix(19,14,-72,-53) Matrix(1733,774,1274,569) -> Matrix(3,2,-2,-1) Matrix(1493,660,1260,557) -> Matrix(5,4,-4,-3) Matrix(9397,4150,5962,2633) -> Matrix(3,2,10,7) Matrix(5841,2578,1262,557) -> Matrix(7,4,-2,-1) Matrix(1031,454,570,251) -> Matrix(1,0,2,1) Matrix(1943,854,2282,1003) -> Matrix(1,0,-2,1) Matrix(683,300,-3308,-1453) -> Matrix(7,10,-12,-17) Matrix(2051,900,572,251) -> Matrix(11,12,-12,-13) Matrix(1929,842,2614,1141) -> Matrix(17,14,6,5) Matrix(2723,1188,4316,1883) -> Matrix(37,30,-132,-107) Matrix(455,198,1018,443) -> Matrix(11,8,-18,-13) Matrix(907,394,-2378,-1033) -> Matrix(13,8,-18,-11) Matrix(453,196,1916,829) -> Matrix(31,26,-68,-57) Matrix(787,340,-3604,-1557) -> Matrix(57,46,-88,-71) Matrix(555,236,-3116,-1325) -> Matrix(23,16,-36,-25) Matrix(669,284,1444,613) -> Matrix(7,4,-16,-9) Matrix(1335,566,-3446,-1461) -> Matrix(1,2,-2,-3) Matrix(4321,1826,1886,797) -> Matrix(7,6,-6,-5) Matrix(999,422,1882,795) -> Matrix(5,4,6,5) Matrix(223,94,994,419) -> Matrix(19,14,-34,-25) Matrix(661,278,554,233) -> Matrix(3,2,-2,-1) Matrix(1877,788,-5076,-2131) -> Matrix(1,0,0,1) Matrix(1541,646,2426,1017) -> Matrix(3,2,-14,-9) Matrix(659,276,-3412,-1429) -> Matrix(1,0,0,1) Matrix(1979,828,772,323) -> Matrix(3,4,-4,-5) Matrix(327,136,440,183) -> Matrix(5,4,-4,-3) Matrix(1531,634,326,135) -> Matrix(17,12,-10,-7) Matrix(653,270,1202,497) -> Matrix(3,2,-2,-1) Matrix(325,134,-1414,-583) -> Matrix(3,2,-2,-1) Matrix(1957,804,-6628,-2723) -> Matrix(17,14,-28,-23) Matrix(2173,892,324,133) -> Matrix(5,4,-4,-3) Matrix(1517,622,978,401) -> Matrix(5,4,-14,-11) Matrix(323,132,1084,443) -> Matrix(13,10,-4,-3) Matrix(865,352,2912,1185) -> Matrix(27,20,4,3) Matrix(1397,566,970,393) -> Matrix(3,2,-2,-1) Matrix(529,208,1264,497) -> Matrix(5,4,-4,-3) Matrix(1159,454,314,123) -> Matrix(11,8,-18,-13) Matrix(527,206,-1998,-781) -> Matrix(11,8,-18,-13) Matrix(945,368,208,81) -> Matrix(5,4,-4,-3) Matrix(1361,528,1776,689) -> Matrix(1,0,0,1) Matrix(1357,526,-6478,-2511) -> Matrix(1,4,-2,-7) Matrix(4903,1896,1880,727) -> Matrix(5,4,-4,-3) Matrix(5323,2058,-19722,-7625) -> Matrix(3,2,-2,-1) Matrix(12517,4838,2714,1049) -> Matrix(19,16,-6,-5) Matrix(519,200,-1352,-521) -> Matrix(47,36,-64,-49) Matrix(7677,2942,-21374,-8191) -> Matrix(175,128,-242,-177) Matrix(9855,3776,-36416,-13953) -> Matrix(11,8,48,35) Matrix(6223,2384,-34960,-13393) -> Matrix(25,18,-32,-23) Matrix(3317,1270,2698,1033) -> Matrix(11,8,-18,-13) Matrix(5911,2262,-21462,-8213) -> Matrix(103,74,-174,-125) Matrix(14721,5632,4352,1665) -> Matrix(5,4,-4,-3) Matrix(1555,594,1966,751) -> Matrix(3,2,-2,-1) Matrix(1137,434,-6002,-2291) -> Matrix(39,28,-46,-33) Matrix(1757,668,1444,549) -> Matrix(3,2,16,11) Matrix(2269,862,4130,1569) -> Matrix(3,2,-2,-1) Matrix(1033,392,2680,1017) -> Matrix(3,2,-8,-5) Matrix(723,274,-2578,-977) -> Matrix(35,24,-54,-37) Matrix(1645,622,722,273) -> Matrix(7,4,-2,-1) Matrix(305,114,206,77) -> Matrix(3,2,10,7) Matrix(1937,720,304,113) -> Matrix(3,2,-8,-5) Matrix(1525,566,714,265) -> Matrix(3,2,-2,-1) Matrix(205,76,1524,565) -> Matrix(5,2,-8,-3) Matrix(5893,2180,3452,1277) -> Matrix(5,4,-4,-3) Matrix(2437,900,5884,2173) -> Matrix(5,4,-4,-3) Matrix(2335,862,3042,1123) -> Matrix(3,2,-2,-1) Matrix(1925,708,2428,893) -> Matrix(11,8,-40,-29) Matrix(1317,484,-5668,-2083) -> Matrix(31,22,-24,-17) Matrix(2021,742,1114,409) -> Matrix(23,16,10,7) Matrix(1109,406,-3734,-1367) -> Matrix(37,24,-54,-35) Matrix(203,74,502,183) -> Matrix(3,2,-2,-1) Matrix(1101,398,1906,689) -> Matrix(3,2,-2,-1) Matrix(899,324,-2500,-901) -> Matrix(47,36,-64,-49) Matrix(11685,4198,3098,1113) -> Matrix(11,8,26,19) Matrix(28363,10186,17974,6455) -> Matrix(11,8,-18,-13) Matrix(1295,464,2096,751) -> Matrix(17,12,-44,-31) Matrix(3775,1344,896,319) -> Matrix(3,2,16,11) Matrix(995,354,1886,671) -> Matrix(3,2,22,15) Matrix(3573,1270,2186,777) -> Matrix(1,0,2,1) Matrix(1885,668,1188,421) -> Matrix(3,2,16,11) Matrix(789,278,298,105) -> Matrix(3,2,-2,-1) Matrix(1673,584,1080,377) -> Matrix(3,2,4,3) Matrix(783,272,688,239) -> Matrix(3,2,40,27) Matrix(1273,440,2248,777) -> Matrix(3,2,-8,-5) Matrix(1417,456,376,121) -> Matrix(3,2,4,3) Matrix(751,240,848,271) -> Matrix(3,2,40,27) Matrix(1029,326,1594,505) -> Matrix(3,2,-14,-9) Matrix(281,88,744,233) -> Matrix(3,2,-8,-5) Matrix(1113,346,1766,549) -> Matrix(25,16,-86,-55) Matrix(2041,632,3336,1033) -> Matrix(7,4,-16,-9) Matrix(1759,544,928,287) -> Matrix(3,2,-8,-5) Matrix(2131,658,3054,943) -> Matrix(3,2,-2,-1) Matrix(1939,594,1198,367) -> Matrix(3,2,-2,-1) Matrix(643,196,-2116,-645) -> Matrix(7,4,-16,-9) Matrix(4225,1282,-15618,-4739) -> Matrix(1,0,2,1) Matrix(1471,446,2754,835) -> Matrix(1,0,2,1) Matrix(1745,528,1008,305) -> Matrix(1,0,0,1) Matrix(455,136,184,55) -> Matrix(5,4,-4,-3) Matrix(3369,1000,2456,729) -> Matrix(3,2,52,35) Matrix(1001,296,1816,537) -> Matrix(3,2,-8,-5) Matrix(271,80,2544,751) -> Matrix(3,2,-8,-5) Matrix(2177,642,1726,509) -> Matrix(3,2,-2,-1) Matrix(2715,796,2084,611) -> Matrix(5,4,-4,-3) Matrix(5249,1538,2174,637) -> Matrix(1,0,2,1) Matrix(725,212,-3348,-979) -> Matrix(17,14,-28,-23) Matrix(1353,394,182,53) -> Matrix(17,12,-10,-7) Matrix(3521,1024,1984,577) -> Matrix(3,2,4,3) Matrix(269,78,1714,497) -> Matrix(29,20,-74,-51) Matrix(989,286,1442,417) -> Matrix(3,2,58,39) Matrix(625,176,1424,401) -> Matrix(1,0,0,1) Matrix(3473,976,2224,625) -> Matrix(3,2,28,19) Matrix(2309,646,890,249) -> Matrix(3,2,-14,-9) Matrix(3553,992,1952,545) -> Matrix(61,38,8,5) Matrix(977,272,176,49) -> Matrix(23,14,-28,-17) Matrix(267,74,-1418,-393) -> Matrix(13,8,-18,-11) Matrix(1679,464,1328,367) -> Matrix(7,4,12,7) Matrix(2917,804,3356,925) -> Matrix(3,2,-20,-13) Matrix(31537,8688,19344,5329) -> Matrix(53,32,48,29) Matrix(2297,632,2824,777) -> Matrix(7,4,-16,-9) Matrix(263,72,-968,-265) -> Matrix(7,4,-16,-9) Matrix(1315,356,-6756,-1829) -> Matrix(1,0,4,1) Matrix(56513,15296,33344,9025) -> Matrix(63,2,-32,-1) Matrix(6753,1826,1054,285) -> Matrix(1,0,2,1) Matrix(2369,640,6400,1729) -> Matrix(1,2,-4,-7) Matrix(31825,8592,18672,5041) -> Matrix(3,4,-4,-5) Matrix(3329,898,4734,1277) -> Matrix(7,4,-2,-1) Matrix(439,118,-2102,-565) -> Matrix(1,4,-2,-7) Matrix(1485,398,1138,305) -> Matrix(3,2,-2,-1) Matrix(173,46,786,209) -> Matrix(11,8,-18,-13) Matrix(3569,944,2000,529) -> Matrix(3,2,16,11) Matrix(1129,296,1560,409) -> Matrix(3,2,-8,-5) Matrix(1037,270,434,113) -> Matrix(3,2,-2,-1) Matrix(1181,284,420,101) -> Matrix(7,4,-16,-9) Matrix(2269,542,674,161) -> Matrix(23,12,-2,-1) Matrix(839,198,250,59) -> Matrix(1,0,2,1) Matrix(753,176,1168,273) -> Matrix(1,0,0,1) Matrix(1253,292,3420,797) -> Matrix(1,0,-4,1) Matrix(751,174,82,19) -> Matrix(7,6,-6,-5) Matrix(3737,856,1576,361) -> Matrix(3,4,-4,-5) Matrix(913,208,496,113) -> Matrix(5,4,-4,-3) Matrix(247,56,1160,263) -> Matrix(1,0,0,1) Matrix(331,74,246,55) -> Matrix(3,2,-2,-1) Matrix(163,36,412,91) -> Matrix(3,2,4,3) Matrix(4997,1092,572,125) -> Matrix(65,42,-48,-31) Matrix(4505,984,-25304,-5527) -> Matrix(25,16,-36,-23) Matrix(1801,392,1144,249) -> Matrix(3,2,-8,-5) Matrix(1963,426,3350,727) -> Matrix(3,2,-14,-9) Matrix(409,88,488,105) -> Matrix(3,2,-8,-5) Matrix(731,156,164,35) -> Matrix(19,12,-8,-5) Matrix(1379,292,732,155) -> Matrix(3,2,-8,-5) Matrix(1381,292,3164,669) -> Matrix(25,16,-36,-23) Matrix(3809,800,1376,289) -> Matrix(63,38,-68,-41) Matrix(1049,218,486,101) -> Matrix(3,2,-2,-1) Matrix(4997,1028,1852,381) -> Matrix(65,38,-12,-7) Matrix(79,16,-400,-81) -> Matrix(7,4,-16,-9) Matrix(5085,988,1508,293) -> Matrix(1,-4,0,1) Matrix(1345,258,318,61) -> Matrix(1,0,2,1) Matrix(3873,736,1184,225) -> Matrix(11,12,-12,-13) Matrix(707,132,316,59) -> Matrix(13,10,-4,-3) Matrix(2983,550,1882,347) -> Matrix(3,2,-2,-1) Matrix(1805,332,1332,245) -> Matrix(3,2,-8,-5) Matrix(155,28,548,99) -> Matrix(3,2,4,3) Matrix(13779,2452,5996,1067) -> Matrix(43,28,-20,-13) Matrix(1555,276,1324,235) -> Matrix(3,2,-8,-5) Matrix(387,68,700,123) -> Matrix(3,2,-8,-5) Matrix(773,134,698,121) -> Matrix(3,2,-14,-9) Matrix(1703,294,2010,347) -> Matrix(19,12,-46,-29) Matrix(849,146,1006,173) -> Matrix(13,8,-18,-11) Matrix(1221,196,380,61) -> Matrix(41,22,-28,-15) Matrix(2053,326,762,121) -> Matrix(35,18,-2,-1) Matrix(607,94,226,35) -> Matrix(5,2,2,1) Matrix(301,46,530,81) -> Matrix(1,0,2,1) Matrix(375,56,904,135) -> Matrix(1,0,0,1) Matrix(2899,402,1262,175) -> Matrix(7,4,-2,-1) Matrix(2077,286,1634,225) -> Matrix(1,0,2,1) Matrix(221,30,1186,161) -> Matrix(3,2,10,7) Matrix(589,78,370,49) -> Matrix(3,2,-2,-1) Matrix(653,78,946,113) -> Matrix(7,4,26,15) Matrix(505,58,1158,133) -> Matrix(37,20,-50,-27) Matrix(717,76,500,53) -> Matrix(5,2,-8,-3) Matrix(423,40,920,87) -> Matrix(11,6,-24,-13) Matrix(491,44,212,19) -> Matrix(5,4,-4,-3) Matrix(583,-56,760,-73) -> Matrix(5,2,-8,-3) Matrix(1743,-178,754,-77) -> Matrix(11,2,-6,-1) Matrix(2123,-246,630,-73) -> Matrix(11,6,-2,-1) Matrix(971,-118,1654,-201) -> Matrix(1,2,-2,-3) Matrix(283,-36,228,-29) -> Matrix(3,2,4,3) Matrix(1181,-162,226,-31) -> Matrix(47,26,-38,-21) Matrix(223,-34,610,-93) -> Matrix(9,4,-34,-15) Matrix(2273,-352,1440,-223) -> Matrix(5,2,12,5) Matrix(1105,-176,496,-79) -> Matrix(37,14,-8,-3) Matrix(435,-76,1036,-181) -> Matrix(7,2,-4,-1) Matrix(597,-106,490,-87) -> Matrix(1,0,6,1) Matrix(271,-50,1458,-269) -> Matrix(1,0,10,1) Matrix(2801,-528,3984,-751) -> Matrix(1,-4,0,1) Matrix(1669,-316,2044,-387) -> Matrix(1,2,-4,-7) Matrix(1181,-226,162,-31) -> Matrix(3,2,-2,-1) Matrix(1877,-364,428,-83) -> Matrix(1,-4,0,1) Matrix(899,-188,636,-133) -> Matrix(5,4,-4,-3) Matrix(2273,-480,1056,-223) -> Matrix(3,2,4,3) Matrix(2693,-570,7290,-1543) -> Matrix(5,4,-14,-11) Matrix(473,-102,422,-91) -> Matrix(3,2,-14,-9) Matrix(1211,-262,2630,-569) -> Matrix(35,22,-78,-49) Matrix(2471,-536,6680,-1449) -> Matrix(13,8,-44,-27) Matrix(2417,-528,1680,-367) -> Matrix(3,2,-8,-5) Matrix(7203,-1630,2974,-673) -> Matrix(7,4,-2,-1) Matrix(2661,-604,1564,-355) -> Matrix(41,22,-28,-15) Matrix(157,-36,676,-155) -> Matrix(39,20,-80,-41) Matrix(1607,-376,312,-73) -> Matrix(55,26,-36,-17) Matrix(1399,-328,1608,-377) -> Matrix(17,8,-100,-47) Matrix(1553,-368,2224,-527) -> Matrix(9,4,20,9) Matrix(1137,-272,464,-111) -> Matrix(41,18,-16,-7) Matrix(405,-106,1066,-279) -> Matrix(7,2,-18,-5) Matrix(3139,-830,1214,-321) -> Matrix(9,2,-14,-3) Matrix(1517,-402,2834,-751) -> Matrix(1,0,6,1) Matrix(2175,-578,3842,-1021) -> Matrix(1,0,2,1) Matrix(403,-108,556,-149) -> Matrix(1,0,0,1) Matrix(2963,-812,2412,-661) -> Matrix(7,2,-4,-1) Matrix(5323,-1462,3062,-841) -> Matrix(9,2,-14,-3) Matrix(3713,-1022,1406,-387) -> Matrix(1,0,2,1) Matrix(853,-236,300,-83) -> Matrix(1,0,4,1) Matrix(351,-98,1250,-349) -> Matrix(1,0,14,1) Matrix(447,-130,1090,-317) -> Matrix(1,0,2,1) Matrix(841,-246,694,-203) -> Matrix(1,0,6,1) Matrix(889,-262,1286,-379) -> Matrix(1,0,2,1) Matrix(2915,-862,3358,-993) -> Matrix(1,0,-6,1) Matrix(3853,-1140,10420,-3083) -> Matrix(5,-4,-16,13) Matrix(2123,-630,246,-73) -> Matrix(3,-10,-2,7) Matrix(245,-74,394,-119) -> Matrix(1,0,-2,1) Matrix(1027,-318,830,-257) -> Matrix(3,2,10,7) Matrix(1661,-516,1220,-379) -> Matrix(3,2,-8,-5) Matrix(877,-276,340,-107) -> Matrix(1,0,0,1) Matrix(853,-300,236,-83) -> Matrix(17,6,-20,-7) Matrix(899,-318,2174,-769) -> Matrix(1,0,2,1) Matrix(1701,-604,1180,-419) -> Matrix(1,0,0,1) Matrix(329,-118,566,-203) -> Matrix(11,4,-14,-5) Matrix(4403,-1612,844,-309) -> Matrix(61,14,-48,-11) Matrix(2059,-756,4916,-1805) -> Matrix(7,2,-4,-1) Matrix(1403,-516,1732,-637) -> Matrix(1,0,0,1) Matrix(3553,-1310,1310,-483) -> Matrix(3,2,-2,-1) Matrix(13649,-5038,7854,-2899) -> Matrix(1,0,2,1) Matrix(11263,-4160,8320,-3073) -> Matrix(1,0,0,1) Matrix(7757,-2868,9204,-3403) -> Matrix(19,6,-16,-5) Matrix(11907,-4414,5182,-1921) -> Matrix(43,12,-18,-5) Matrix(10177,-3774,2942,-1091) -> Matrix(37,10,-26,-7) Matrix(3713,-1406,1022,-387) -> Matrix(1,2,-2,-3) Matrix(3293,-1252,2596,-987) -> Matrix(11,4,8,3) Matrix(555,-212,788,-301) -> Matrix(7,2,-4,-1) Matrix(10249,-3958,6326,-2443) -> Matrix(1,0,6,1) Matrix(3139,-1214,830,-321) -> Matrix(1,0,6,1) Matrix(877,-340,276,-107) -> Matrix(15,2,-8,-1) Matrix(415,-162,1058,-413) -> Matrix(1,0,18,1) Matrix(1137,-464,272,-111) -> Matrix(1,0,0,1) Matrix(16607,-6816,10528,-4321) -> Matrix(1,0,0,1) Matrix(19329,-7936,7168,-2943) -> Matrix(1,-8,0,1) Matrix(953,-392,2312,-951) -> Matrix(1,-2,0,1) Matrix(7929,-3272,3080,-1271) -> Matrix(3,4,-4,-5) Matrix(7203,-2974,1630,-673) -> Matrix(5,8,-2,-3) Matrix(10553,-4360,1992,-823) -> Matrix(9,8,-8,-7) Matrix(12001,-4960,4256,-1759) -> Matrix(1,0,0,1) Matrix(7421,-3076,3076,-1275) -> Matrix(3,2,4,3) Matrix(4917,-2060,3788,-1587) -> Matrix(1,0,0,1) Matrix(4055,-1704,2344,-985) -> Matrix(3,4,-4,-5) Matrix(315,-134,134,-57) -> Matrix(3,2,-2,-1) Matrix(1115,-484,804,-349) -> Matrix(7,6,8,7) Matrix(2943,-1282,2050,-893) -> Matrix(13,10,-30,-23) Matrix(3023,-1328,2224,-977) -> Matrix(3,2,-8,-5) Matrix(267,-118,310,-137) -> Matrix(3,2,-14,-9) Matrix(1105,-496,176,-79) -> Matrix(7,4,-16,-9) Matrix(221,-100,484,-219) -> Matrix(23,12,-48,-25) Matrix(4519,-2074,1754,-805) -> Matrix(35,16,-46,-21) Matrix(2273,-1056,480,-223) -> Matrix(7,2,-4,-1) Matrix(695,-328,392,-185) -> Matrix(5,2,-8,-3) Matrix(1263,-656,464,-241) -> Matrix(15,2,-8,-1) Matrix(1583,-850,2706,-1453) -> Matrix(1,2,-2,-3) Matrix(873,-472,664,-359) -> Matrix(1,0,0,1) Matrix(1945,-1064,744,-407) -> Matrix(1,0,0,1) Matrix(8099,-4444,3100,-1701) -> Matrix(5,2,-8,-3) Matrix(369,-206,206,-115) -> Matrix(1,0,2,1) Matrix(695,-392,328,-185) -> Matrix(1,0,0,1) Matrix(981,-554,1514,-855) -> Matrix(1,0,-2,1) Matrix(3433,-1942,5846,-3307) -> Matrix(1,2,-2,-3) Matrix(691,-398,974,-561) -> Matrix(3,2,-2,-1) Matrix(1419,-820,244,-141) -> Matrix(1,0,0,1) Matrix(1459,-846,526,-305) -> Matrix(1,2,-2,-3) Matrix(3797,-2220,2988,-1747) -> Matrix(13,8,8,5) Matrix(9931,-5812,2100,-1229) -> Matrix(29,16,-20,-11) Matrix(8517,-4988,2300,-1347) -> Matrix(17,8,-32,-15) Matrix(3509,-2058,2058,-1207) -> Matrix(3,2,-2,-1) Matrix(2661,-1564,604,-355) -> Matrix(13,10,-4,-3) Matrix(121,-72,200,-119) -> Matrix(7,4,-16,-9) Matrix(2307,-1406,2942,-1793) -> Matrix(19,8,-50,-21) Matrix(6401,-3904,3776,-2303) -> Matrix(59,24,-32,-13) Matrix(8625,-5264,2384,-1455) -> Matrix(97,38,-120,-47) Matrix(7663,-4690,6034,-3693) -> Matrix(17,6,14,5) Matrix(12543,-7682,4802,-2941) -> Matrix(11,4,-14,-5) Matrix(2739,-1678,3214,-1969) -> Matrix(5,2,-18,-7) Matrix(3689,-2262,2262,-1387) -> Matrix(17,6,14,5) Matrix(5829,-3578,2618,-1607) -> Matrix(7,4,-2,-1) Matrix(2537,-1558,3926,-2411) -> Matrix(1,0,2,1) Matrix(911,-562,1266,-781) -> Matrix(5,2,-18,-7) Matrix(4745,-2934,5814,-3595) -> Matrix(17,6,-54,-19) Matrix(3835,-2372,4548,-2813) -> Matrix(17,6,-20,-7) Matrix(1423,-882,434,-269) -> Matrix(11,4,-14,-5) Matrix(983,-618,746,-469) -> Matrix(13,4,-10,-3) Matrix(10205,-6436,6436,-4059) -> Matrix(7,2,-60,-17) Matrix(2471,-1562,666,-421) -> Matrix(23,6,-50,-13) Matrix(9877,-6250,2666,-1687) -> Matrix(89,22,-174,-43) Matrix(4233,-2680,3448,-2183) -> Matrix(25,6,4,1) Matrix(2273,-1440,352,-223) -> Matrix(9,2,4,1) Matrix(3603,-2284,2860,-1813) -> Matrix(9,2,4,1) Matrix(3055,-1938,3602,-2285) -> Matrix(1,0,2,1) Matrix(429,-274,274,-175) -> Matrix(1,0,6,1) Matrix(12791,-8264,4744,-3065) -> Matrix(1,-8,0,1) Matrix(2795,-1814,2134,-1385) -> Matrix(1,0,2,1) Matrix(155,-102,38,-25) -> Matrix(1,0,2,1) Matrix(495,-338,722,-493) -> Matrix(1,0,26,1) Matrix(1933,-1330,1138,-783) -> Matrix(13,-2,-6,1) Matrix(7123,-4908,4396,-3029) -> Matrix(1,0,-4,1) Matrix(1701,-1180,604,-419) -> Matrix(1,0,-4,1) Matrix(2417,-1680,528,-367) -> Matrix(1,-2,0,1) Matrix(2943,-2050,1282,-893) -> Matrix(5,-2,-2,1) Matrix(827,-580,452,-317) -> Matrix(1,-4,0,1) Matrix(9547,-6710,3382,-2377) -> Matrix(1,6,-2,-11) Matrix(899,-636,188,-133) -> Matrix(5,4,-4,-3) Matrix(6025,-4278,4342,-3083) -> Matrix(13,12,14,13) Matrix(3815,-2712,1048,-745) -> Matrix(1,0,0,1) Matrix(4247,-3048,1640,-1177) -> Matrix(5,2,-8,-3) Matrix(18401,-13216,11360,-8159) -> Matrix(1,0,4,1) Matrix(12403,-8910,2830,-2033) -> Matrix(7,4,-2,-1) Matrix(1115,-804,484,-349) -> Matrix(7,2,-4,-1) Matrix(2117,-1530,1338,-967) -> Matrix(1,0,2,1) Matrix(555,-406,406,-297) -> Matrix(1,0,-6,1) Matrix(1661,-1220,516,-379) -> Matrix(11,-4,-8,3) Matrix(3023,-2224,1328,-977) -> Matrix(11,-8,-4,3) Matrix(13549,-10004,3092,-2283) -> Matrix(1,-8,0,1) Matrix(4859,-3590,1030,-761) -> Matrix(3,-28,-2,19) Matrix(873,-664,472,-359) -> Matrix(1,0,0,1) Matrix(3849,-2936,1016,-775) -> Matrix(1,2,0,1) Matrix(4501,-3436,2540,-1939) -> Matrix(3,4,-4,-5) Matrix(17383,-13336,10648,-8169) -> Matrix(11,4,8,3) Matrix(253,-196,324,-251) -> Matrix(7,4,-16,-9) Matrix(4307,-3372,1580,-1237) -> Matrix(19,8,-12,-5) Matrix(467,-366,430,-337) -> Matrix(5,2,2,1) Matrix(3335,-2616,2296,-1801) -> Matrix(5,2,-28,-11) Matrix(3797,-2988,2220,-1747) -> Matrix(7,2,-4,-1) Matrix(7663,-6034,4690,-3693) -> Matrix(31,12,18,7) Matrix(967,-762,250,-197) -> Matrix(1,0,2,1) Matrix(3603,-2860,2284,-1813) -> Matrix(1,0,4,1) Matrix(283,-228,36,-29) -> Matrix(7,2,-4,-1) Matrix(883,-716,460,-373) -> Matrix(1,0,4,1) Matrix(1343,-1090,706,-573) -> Matrix(1,0,2,1) Matrix(2963,-2412,812,-661) -> Matrix(5,2,-8,-3) Matrix(5359,-4368,1552,-1265) -> Matrix(5,4,-4,-3) Matrix(9165,-7474,7474,-6095) -> Matrix(17,6,14,5) Matrix(597,-490,106,-87) -> Matrix(9,2,-14,-3) Matrix(841,-694,246,-203) -> Matrix(19,2,-10,-1) Matrix(20071,-16920,4376,-3689) -> Matrix(13,12,-12,-11) Matrix(1799,-1528,312,-265) -> Matrix(5,2,-8,-3) Matrix(415,-354,34,-29) -> Matrix(1,0,2,1) Matrix(5539,-4828,3420,-2981) -> Matrix(1,0,8,1) Matrix(511,-450,578,-509) -> Matrix(1,0,30,1) Matrix(473,-422,102,-91) -> Matrix(5,-2,-2,1) Matrix(511,-578,450,-509) -> Matrix(1,0,26,1) Matrix(267,-310,118,-137) -> Matrix(5,-2,-2,1) Matrix(2739,-3214,1678,-1969) -> Matrix(3,4,2,3) Matrix(3203,-3772,1852,-2181) -> Matrix(3,-2,-4,3) Matrix(3055,-3602,1938,-2285) -> Matrix(1,-2,2,-3) Matrix(3835,-4548,2372,-2813) -> Matrix(1,2,0,1) Matrix(1187,-1436,348,-421) -> Matrix(17,-2,-8,1) Matrix(1669,-2044,316,-387) -> Matrix(5,-6,-4,5) Matrix(25647,-31442,15698,-19245) -> Matrix(37,-32,22,-19) Matrix(65663,-80512,40192,-49281) -> Matrix(93,-98,56,-59) Matrix(7329,-8990,2846,-3491) -> Matrix(1,0,-2,1) Matrix(1403,-1732,516,-637) -> Matrix(9,-2,-4,1) Matrix(397,-498,114,-143) -> Matrix(3,-4,-2,3) Matrix(8101,-10268,4572,-5795) -> Matrix(7,-6,-8,7) Matrix(9341,-11844,2116,-2683) -> Matrix(25,-28,-8,9) Matrix(29299,-37198,17934,-22769) -> Matrix(43,-48,26,-29) Matrix(4483,-5692,508,-645) -> Matrix(9,-10,-8,9) Matrix(253,-324,196,-251) -> Matrix(1,-4,0,1) Matrix(2175,-2818,1282,-1661) -> Matrix(3,8,-2,-5) Matrix(4263,-5528,920,-1193) -> Matrix(9,16,-4,-7) Matrix(5599,-7266,1058,-1373) -> Matrix(7,6,-6,-5) Matrix(583,-760,56,-73) -> Matrix(3,4,-4,-5) Matrix(2135,-2794,554,-725) -> Matrix(3,2,-2,-1) Matrix(2409,-3160,664,-871) -> Matrix(3,4,-4,-5) Matrix(19249,-26062,5710,-7731) -> Matrix(7,4,-2,-1) Matrix(6251,-8468,3860,-5229) -> Matrix(1,0,4,1) Matrix(4531,-6156,3148,-4277) -> Matrix(1,0,0,1) Matrix(1999,-2738,1458,-1997) -> Matrix(1,0,34,1) Matrix(403,-556,108,-149) -> Matrix(1,0,-4,1) Matrix(2091,-2902,214,-297) -> Matrix(25,-24,-26,25) Matrix(1795,-2492,188,-261) -> Matrix(21,-22,-20,21) Matrix(911,-1266,562,-781) -> Matrix(1,-2,2,-3) Matrix(691,-974,398,-561) -> Matrix(1,2,-2,-3) Matrix(901,-1274,186,-263) -> Matrix(1,2,-2,-3) Matrix(555,-788,212,-301) -> Matrix(1,0,0,1) Matrix(1553,-2224,368,-527) -> Matrix(3,2,4,3) Matrix(9851,-14148,3652,-5245) -> Matrix(53,20,-8,-3) Matrix(5457,-7856,944,-1359) -> Matrix(1,0,0,1) Matrix(889,-1286,262,-379) -> Matrix(3,2,-2,-1) Matrix(3787,-5494,1462,-2121) -> Matrix(9,2,-14,-3) Matrix(7883,-11446,2166,-3145) -> Matrix(9,2,-14,-3) Matrix(495,-722,338,-493) -> Matrix(1,0,14,1) Matrix(681,-1046,278,-427) -> Matrix(5,8,-2,-3) Matrix(981,-1514,554,-855) -> Matrix(3,2,-2,-1) Matrix(2537,-3926,1558,-2411) -> Matrix(5,2,2,1) Matrix(1951,-3042,1250,-1949) -> Matrix(1,0,22,1) Matrix(10579,-16686,3054,-4817) -> Matrix(3,-4,-2,3) Matrix(25471,-40192,5760,-9089) -> Matrix(1,-2,0,1) Matrix(4069,-6428,1116,-1763) -> Matrix(3,-2,-4,3) Matrix(6821,-10778,3994,-6311) -> Matrix(3,-4,-2,3) Matrix(6943,-10978,4066,-6429) -> Matrix(3,2,-2,-1) Matrix(10989,-17426,3218,-5103) -> Matrix(51,2,-26,-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,-4,0,1) Matrix(2959,-4786,562,-909) -> Matrix(7,-8,-6,7) Matrix(26921,-43608,7768,-12583) -> Matrix(1,-2,0,1) Matrix(24037,-38938,6938,-11239) -> Matrix(3,-4,-2,3) Matrix(3873,-6304,1120,-1823) -> Matrix(5,-6,-4,5) Matrix(1047,-1706,170,-277) -> Matrix(1,0,-2,1) Matrix(17375,-28322,10658,-17373) -> Matrix(19,-18,18,-17) Matrix(26987,-44054,6102,-9961) -> Matrix(11,-16,-2,3) Matrix(4837,-7898,2650,-4327) -> Matrix(27,-40,-2,3) Matrix(23839,-38944,7072,-11553) -> Matrix(37,-60,-8,13) Matrix(121,-200,72,-119) -> Matrix(1,-4,0,1) Matrix(1117,-1892,356,-603) -> Matrix(7,16,-4,-9) Matrix(30591,-51842,18050,-30589) -> Matrix(115,232,-58,-117) Matrix(5647,-9586,3250,-5517) -> Matrix(1,2,-2,-3) Matrix(3529,-6008,568,-967) -> Matrix(3,4,-4,-5) Matrix(971,-1654,118,-201) -> Matrix(1,2,-2,-3) Matrix(17183,-29282,10082,-17181) -> Matrix(13,14,-14,-15) Matrix(1583,-2706,850,-1453) -> Matrix(1,2,-2,-3) Matrix(329,-566,118,-203) -> Matrix(1,2,-2,-3) Matrix(6989,-12084,1524,-2635) -> Matrix(9,8,-8,-7) Matrix(1027,-1788,444,-773) -> Matrix(7,2,-4,-1) Matrix(2175,-3842,578,-1021) -> Matrix(1,0,-2,1) Matrix(971,-1716,116,-205) -> Matrix(1,-2,0,1) Matrix(20021,-35468,4364,-7731) -> Matrix(15,16,-16,-17) Matrix(53385,-94582,11638,-20619) -> Matrix(43,42,-42,-41) Matrix(1887,-3362,1058,-1885) -> Matrix(1,0,10,1) Matrix(2109,-3844,1156,-2107) -> Matrix(1,-28,0,1) Matrix(1921,-3582,894,-1667) -> Matrix(1,0,2,1) Matrix(1517,-2834,402,-751) -> Matrix(1,0,2,1) Matrix(3275,-7028,692,-1485) -> Matrix(11,-4,-8,3) Matrix(221,-484,100,-219) -> Matrix(1,-10,0,1) Matrix(2209,-4894,478,-1059) -> Matrix(5,38,-2,-15) Matrix(875,-1942,278,-617) -> Matrix(3,20,-2,-13) Matrix(4643,-10332,1052,-2341) -> Matrix(13,62,-4,-19) Matrix(2917,-6618,666,-1511) -> Matrix(9,14,-2,-3) Matrix(3111,-7064,920,-2089) -> Matrix(1,-2,0,1) Matrix(1525,-3468,332,-755) -> Matrix(1,2,0,1) Matrix(3887,-8978,1682,-3885) -> Matrix(11,24,-6,-13) Matrix(1711,-4050,722,-1709) -> Matrix(13,14,-14,-15) Matrix(435,-1036,76,-181) -> Matrix(1,0,0,1) Matrix(2059,-4916,756,-1805) -> Matrix(7,2,-4,-1) Matrix(4613,-11132,956,-2307) -> Matrix(11,-10,-12,11) Matrix(899,-2174,318,-769) -> Matrix(1,-2,-2,5) Matrix(8771,-21246,1982,-4801) -> Matrix(5,-12,-2,5) Matrix(1945,-4712,168,-407) -> Matrix(1,-4,0,1) Matrix(1289,-3126,374,-907) -> Matrix(3,-22,-2,15) Matrix(447,-1090,130,-317) -> Matrix(3,14,-2,-9) Matrix(415,-1058,162,-413) -> Matrix(9,10,-10,-11) Matrix(3559,-9176,984,-2537) -> Matrix(23,14,-28,-17) Matrix(4015,-10386,1106,-2861) -> Matrix(1,2,-2,-3) Matrix(1507,-3932,284,-741) -> Matrix(9,8,-8,-7) Matrix(405,-1066,106,-279) -> Matrix(3,2,-2,-1) Matrix(1267,-3342,334,-881) -> Matrix(5,2,2,1) Matrix(2471,-6680,536,-1449) -> Matrix(1,0,0,1) Matrix(3853,-10420,1140,-3083) -> Matrix(1,0,0,1) Matrix(2693,-7290,570,-1543) -> Matrix(3,2,-2,-1) Matrix(5021,-13604,1380,-3739) -> Matrix(3,10,-4,-13) Matrix(18165,-49226,4106,-11127) -> Matrix(17,54,-6,-19) Matrix(17853,-48388,4036,-10939) -> Matrix(13,36,-4,-11) Matrix(10063,-27378,3698,-10061) -> Matrix(43,88,-22,-45) Matrix(7371,-20084,2612,-7117) -> Matrix(3,4,-4,-5) Matrix(223,-610,34,-93) -> Matrix(1,2,-2,-3) Matrix(1599,-4418,578,-1597) -> Matrix(25,26,-26,-27) Matrix(25361,-71536,5360,-15119) -> Matrix(11,18,-8,-13) Matrix(17117,-48290,3618,-10207) -> Matrix(31,24,-22,-17) Matrix(729,-2086,166,-475) -> Matrix(7,4,-2,-1) Matrix(49,-144,16,-47) -> Matrix(1,-2,0,1) Matrix(1539,-4862,446,-1409) -> Matrix(3,-4,-2,3) Matrix(227,-734,30,-97) -> Matrix(1,2,-2,-3) Matrix(1471,-4802,450,-1469) -> Matrix(29,30,-30,-31) Matrix(4911,-16592,848,-2865) -> Matrix(1,2,0,1) Matrix(5743,-19602,1682,-5741) -> Matrix(91,184,-46,-93) Matrix(351,-1250,98,-349) -> Matrix(21,22,-22,-23) Matrix(859,-3110,166,-601) -> Matrix(31,24,-22,-17) Matrix(661,-2538,106,-407) -> Matrix(1,2,-2,-3) Matrix(6113,-23520,1056,-4063) -> Matrix(1,2,0,1) Matrix(6493,-24994,1122,-4319) -> Matrix(1,2,-2,-3) Matrix(157,-676,36,-155) -> Matrix(1,-6,0,1) Matrix(1667,-7870,190,-897) -> Matrix(43,62,-34,-49) Matrix(1167,-5618,242,-1165) -> Matrix(21,22,-22,-23) Matrix(271,-1458,50,-269) -> Matrix(33,34,-34,-35) Matrix(293,-1882,26,-167) -> Matrix(1,0,-2,1) Matrix(57,-392,8,-55) -> Matrix(1,-2,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 170 Degree of the the map X: 170 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 -3/7 -5/13 -1/3 -3/11 -1/5 -1/7 0/1 1/7 5/27 3/13 7/25 1/3 9/23 7/17 5/11 1/2 7/13 17/31 3/5 13/19 5/7 7/9 1/1 8/7 9/7 7/5 3/2 5/3 161/95 9/5 31/17 13/7 21/11 2/1 11/5 67/29 7/3 45/19 17/7 5/2 23/9 47/17 3/1 16/5 49/15 10/3 24/7 7/2 25/7 11/3 4/1 13/3 22/5 9/2 14/3 24/5 53/11 5/1 16/3 27/5 11/2 6/1 13/2 20/3 7/1 22/3 8/1 9/1 29/3 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 -1/1 -1/2 -1/1 -2/3 -6/13 -3/4 -5/11 -1/1 -4/5 -14/31 -13/16 -9/20 -1/1 -4/5 -4/9 -1/2 -7/16 -1/1 -6/7 -10/23 -3/4 -13/30 -1/1 -8/9 -16/37 -5/6 -3/7 -3/4 -17/40 -2/3 -3/5 -14/33 1/0 -11/26 -1/1 -6/7 -8/19 -7/10 -5/12 -1/1 -4/5 -17/41 -3/4 -12/29 -1/2 -7/17 -1/1 -4/5 -23/56 -9/11 -4/5 -16/39 -5/6 -9/22 -4/5 -7/9 -2/5 -3/4 -11/28 -4/5 -7/9 -9/23 -5/7 -2/3 -7/18 -1/1 -2/3 -19/49 -1/1 -2/3 -31/80 -1/1 -8/9 -12/31 -1/2 -5/13 -3/4 -13/34 -18/25 -5/7 -8/21 -7/10 -19/50 -5/7 -2/3 -30/79 -3/4 -11/29 -5/7 -2/3 -3/8 -5/7 -2/3 -13/35 -2/3 -3/5 -10/27 -3/4 -7/19 -3/4 -11/30 -13/19 -2/3 -15/41 -2/3 -3/5 -4/11 -1/2 -5/14 -5/7 -2/3 -11/31 -7/10 -6/17 -5/8 -1/3 -1/1 -2/3 -7/22 -2/3 -15/23 -6/19 -5/8 -5/16 -5/7 -2/3 -9/29 -5/8 -13/42 -2/3 -3/5 -17/55 -2/3 -3/5 -4/13 -1/2 -3/10 -1/1 -2/3 -11/37 -9/13 -2/3 -19/64 -25/37 -2/3 -8/27 -9/14 -13/44 -1/1 -2/3 -31/105 -2/3 -3/5 -18/61 -5/8 -5/17 -1/2 -17/58 -1/1 -2/3 -12/41 -5/6 -7/24 -8/11 -5/7 -16/55 -7/10 -9/31 -9/13 -2/3 -11/38 -21/31 -2/3 -2/7 -5/8 -5/18 -3/5 -4/7 -13/47 -3/5 -4/7 -8/29 -1/2 -11/40 -3/5 -4/7 -3/11 -1/2 -13/48 -1/3 0/1 -10/37 1/0 -7/26 -1/1 0/1 -11/41 -1/1 -2/3 -4/15 -5/6 -1/4 -2/3 -3/5 -4/17 -1/2 -7/30 0/1 1/1 -10/43 -7/4 -3/13 -1/1 -2/3 -11/48 -2/1 -1/1 -8/35 -5/6 -5/22 -5/7 -2/3 -2/9 -3/4 -7/32 -2/3 -15/23 -5/23 -2/3 -7/11 -3/14 -2/3 -7/11 -7/33 -2/3 -3/5 -11/52 -2/3 -3/5 -4/19 -11/18 -13/62 -3/5 -28/47 -9/43 -3/5 -10/17 -5/24 -3/5 -4/7 -1/5 -1/2 -4/21 -3/2 -11/58 -1/1 -12/13 -7/37 -1/1 -4/5 -3/16 -1/1 -4/5 -5/27 -5/7 -2/3 -2/11 -3/4 -5/28 -2/3 -11/17 -3/17 -2/3 -3/5 -1/6 -3/5 -4/7 -2/13 -3/8 -3/20 0/1 1/1 -1/7 -1/1 -2/3 -4/29 -1/2 -3/22 -5/7 -2/3 -2/15 -5/8 -1/8 -2/3 -3/5 -2/17 -9/16 -1/9 -1/2 0/1 -1/2 1/10 -1/3 0/1 2/19 1/0 1/9 -1/1 0/1 1/8 -1/1 -2/3 1/7 -1/2 2/13 -5/12 5/32 -11/27 -2/5 3/19 -2/5 -1/3 1/6 -1/3 0/1 3/17 -1/4 2/11 -1/4 5/27 0/1 8/43 1/6 3/16 0/1 1/1 7/37 1/0 4/21 -1/2 1/5 -1/1 0/1 2/9 -7/12 5/22 -8/15 -9/17 3/13 -1/2 7/30 -12/25 -11/23 4/17 -1/2 9/38 -5/11 -14/31 5/21 -5/11 -4/9 1/4 -2/5 -1/3 5/19 -1/4 4/15 -1/6 3/11 -1/3 0/1 11/40 -1/5 0/1 8/29 -1/6 5/18 -1/7 0/1 7/25 0/1 9/32 0/1 1/7 2/7 1/0 7/24 -1/3 0/1 5/17 0/1 1/1 13/44 2/3 1/1 8/27 3/2 3/10 -2/1 -1/1 4/13 -5/6 1/3 -1/2 5/14 -2/5 -1/3 4/11 -3/10 15/41 -1/4 11/30 -1/3 0/1 18/49 -1/4 7/19 -1/3 0/1 24/65 -1/2 17/46 -4/11 -1/3 10/27 -1/4 3/8 -1/5 0/1 11/29 -1/2 19/50 -4/11 -1/3 8/21 -1/2 5/13 -1/5 0/1 17/44 -1/5 0/1 12/31 -1/6 7/18 -1/9 0/1 9/23 0/1 11/28 0/1 1/9 2/5 1/0 9/22 -1/1 0/1 16/39 1/2 7/17 1/0 12/29 -1/2 17/41 -1/1 -2/3 5/12 0/1 1/1 18/43 1/0 13/31 1/0 21/50 -2/1 -1/1 8/19 -3/2 3/7 -1/1 0/1 4/9 -1/2 9/20 -5/9 -6/11 5/11 -1/2 11/24 -7/15 -6/13 6/13 -7/16 13/28 -2/5 -1/3 7/15 -3/7 -2/5 1/2 -1/3 0/1 9/17 0/1 1/3 8/15 1/2 7/13 1/0 6/11 1/0 17/31 -1/2 11/20 -1/3 0/1 5/9 -1/1 0/1 9/16 0/1 1/1 4/7 -3/2 7/12 -1/1 -2/3 31/53 -1/2 24/41 -1/2 17/29 -1/1 0/1 27/46 -1/1 -4/5 37/63 -1/2 10/17 -3/4 3/5 -1/2 14/23 -5/12 25/41 -7/17 -2/5 36/59 -23/58 11/18 -2/5 -1/3 19/31 -2/5 -1/3 27/44 -1/3 -2/7 35/57 -1/4 8/13 -1/2 21/34 -2/5 -1/3 13/21 -2/5 -1/3 18/29 -5/16 5/8 -2/5 -1/3 17/27 -3/10 29/46 -13/45 -2/7 41/65 -2/7 -11/39 12/19 -7/26 7/11 -1/5 0/1 9/14 0/1 1/1 2/3 -1/4 13/19 0/1 24/35 1/22 11/16 0/1 1/9 20/29 1/6 29/42 2/7 1/3 9/13 0/1 1/3 25/36 2/3 1/1 16/23 1/2 23/33 1/2 30/43 1/0 37/53 0/1 1/1 7/10 1/1 2/1 26/37 1/0 45/64 -4/1 -3/1 19/27 -3/1 -2/1 12/17 -3/2 5/7 -1/2 28/39 -1/2 23/32 -1/3 0/1 18/25 -1/4 13/18 -1/1 0/1 21/29 -1/3 0/1 8/11 -1/6 11/15 0/1 1/3 25/34 3/5 2/3 14/19 5/4 31/42 3/1 4/1 17/23 1/0 3/4 -1/1 0/1 16/21 -1/2 29/38 -2/1 -1/1 13/17 -1/1 -2/3 23/30 -1/1 -2/3 56/73 -1/2 33/43 -1/2 10/13 -3/4 7/9 -1/2 18/23 -5/12 11/14 -2/5 -1/3 4/5 -1/2 17/21 -1/3 0/1 30/37 -1/4 43/53 0/1 13/16 -1/3 0/1 35/43 -1/3 0/1 22/27 -1/4 31/38 -1/3 -4/13 9/11 -1/4 5/6 0/1 1/1 1/1 -1/1 0/1 8/7 1/6 7/6 0/1 1/1 6/5 -1/4 23/19 0/1 1/7 17/14 0/1 1/3 28/23 1/2 11/9 1/2 16/13 -1/2 5/4 0/1 1/1 24/19 1/2 19/15 0/1 1/1 71/56 1/1 14/13 52/41 3/2 33/26 0/1 1/1 47/37 3/2 61/48 5/3 2/1 14/11 1/0 9/7 1/0 22/17 1/0 35/27 -2/1 -1/1 13/10 -2/1 -1/1 4/3 -1/2 11/8 0/1 1/5 18/13 5/8 25/18 1/1 6/5 7/5 1/0 24/17 -3/2 17/12 -1/1 -2/3 10/7 1/0 3/2 0/1 1/1 20/13 -7/6 17/11 -1/2 31/20 -1/1 0/1 14/9 -1/4 25/16 0/1 1/7 11/7 0/1 1/1 41/26 0/1 1/1 71/45 1/0 101/64 -1/3 0/1 30/19 1/0 79/50 0/1 1/1 49/31 1/0 19/12 0/1 1/1 46/29 1/8 27/17 1/2 35/22 0/1 1/1 8/5 1/2 21/13 1/1 2/1 13/8 1/1 4/3 31/19 1/1 4/3 80/49 3/2 49/30 11/7 8/5 18/11 1/0 5/3 1/0 22/13 1/0 61/36 -23/11 -2/1 161/95 -2/1 100/59 -35/18 39/23 -2/1 -5/3 56/33 -3/2 73/43 1/0 17/10 -2/1 -5/3 29/17 -2/1 -1/1 41/24 -4/3 -1/1 12/7 -1/2 19/11 -1/1 0/1 64/37 -1/2 45/26 -1/1 -2/3 26/15 1/0 33/19 -1/2 73/42 -1/1 -2/3 40/23 -1/2 7/4 -1/1 0/1 30/17 -1/4 23/13 1/0 62/35 -9/8 225/127 -1/1 163/92 -1/1 -20/21 101/57 -1/1 -6/7 39/22 -1/1 -2/3 55/31 -1/3 0/1 16/9 -1/2 25/14 0/1 1/3 9/5 0/1 1/1 20/11 9/2 31/17 1/0 42/23 1/0 11/6 -3/1 -2/1 24/13 -1/2 37/20 -1/1 0/1 13/7 1/0 28/15 -1/2 15/8 -1/1 0/1 17/9 -1/1 0/1 19/10 -1/1 0/1 21/11 0/1 2/1 1/0 13/6 1/1 2/1 11/5 1/0 31/14 -9/1 -8/1 20/9 -11/2 69/31 -9/2 49/22 -5/1 -14/3 29/13 -5/1 -4/1 9/4 -3/1 -2/1 25/11 1/0 16/7 -3/2 39/17 1/0 62/27 1/0 23/10 -2/1 -5/3 30/13 1/0 67/29 -2/1 104/45 -11/6 37/16 -2/1 -5/3 7/3 -2/1 -1/1 26/11 -5/4 45/19 -1/1 64/27 -9/10 19/8 -1/1 -2/3 12/5 -1/2 41/17 0/1 1/1 111/46 6/7 1/1 70/29 5/4 29/12 1/1 2/1 46/19 1/0 17/7 1/0 22/9 -13/4 49/20 -8/3 -13/5 27/11 -7/3 -2/1 5/2 -2/1 -1/1 23/9 -1/1 41/16 -1/1 -8/9 18/7 -3/4 31/12 -1/1 -2/3 13/5 -1/1 0/1 47/18 -1/1 -2/3 81/31 -1/2 34/13 1/0 21/8 -1/1 -2/3 8/3 1/2 19/7 -3/1 -2/1 49/18 -2/1 -9/5 30/11 1/0 11/4 -4/3 -1/1 47/17 -1/1 83/30 -1/1 -22/23 36/13 -9/10 25/9 -1/1 -2/3 14/5 -3/4 45/16 -2/5 -1/3 31/11 -1/1 0/1 79/28 -1/1 -2/3 48/17 -1/2 17/6 -1/3 0/1 20/7 -1/2 23/8 -1/7 0/1 3/1 1/0 25/8 -15/7 -2/1 22/7 -7/4 19/6 -3/1 -2/1 16/5 -3/2 45/14 -13/9 -10/7 29/9 -4/3 -1/1 13/4 -6/5 -1/1 49/15 -1/1 85/26 -1/1 -24/25 36/11 -9/10 23/7 -1/1 -2/3 10/3 1/0 17/5 -3/1 -2/1 58/17 -25/12 99/29 -2/1 41/12 -2/1 -21/11 24/7 -17/10 31/9 -3/2 38/11 -11/8 7/2 -4/3 -1/1 25/7 -1/1 43/12 -1/1 -18/19 18/5 -7/8 47/13 -5/6 76/21 -27/34 29/8 -1/1 -2/3 11/3 -1/1 -2/3 37/10 -4/7 -5/9 100/27 -1/2 63/17 -1/2 26/7 -5/12 15/4 0/1 1/1 4/1 -1/2 17/4 0/1 1/1 13/3 1/0 35/8 -6/1 -5/1 22/5 1/0 75/17 -7/2 128/29 -19/6 53/12 -3/1 -14/5 84/19 -5/2 31/7 -3/1 -2/1 9/2 -2/1 -1/1 32/7 -3/2 55/12 -4/3 -1/1 78/17 -7/8 23/5 1/0 14/3 -7/4 33/7 -3/2 19/4 -4/3 -1/1 24/5 -7/6 53/11 -1/1 82/17 -15/16 29/6 -1/1 -4/5 5/1 -2/1 -1/1 16/3 -11/10 27/5 -1/1 38/7 -23/24 11/2 -1/1 -6/7 6/1 1/0 13/2 -2/1 -1/1 20/3 -1/2 27/4 -1/3 0/1 7/1 1/0 29/4 -7/3 -2/1 22/3 1/0 15/2 -4/3 -1/1 23/3 -2/1 -1/1 8/1 -3/2 9/1 -4/3 -1/1 19/2 -16/15 -1/1 29/3 -1/1 10/1 -7/8 1/0 -1/1 0/1 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(121,56,296,137) (-1/2,-6/13) -> (2/5,9/22) Hyperbolic Matrix(239,110,-654,-301) (-6/13,-5/11) -> (-15/41,-4/11) 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(233,104,56,25) (-9/20,-4/9) -> (4/1,17/4) Hyperbolic Matrix(113,50,174,77) (-4/9,-7/16) -> (9/14,2/3) Hyperbolic Matrix(225,98,-962,-419) (-7/16,-10/23) -> (-4/17,-7/30) Hyperbolic Matrix(341,148,-1076,-467) (-10/23,-13/30) -> (-7/22,-6/19) Hyperbolic Matrix(453,196,1916,829) (-13/30,-16/37) -> (4/17,9/38) Hyperbolic Matrix(1351,584,2200,951) (-16/37,-3/7) -> (35/57,8/13) Hyperbolic Matrix(1669,710,2842,1209) (-3/7,-17/40) -> (27/46,37/63) 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(109,46,-718,-303) (-11/26,-8/19) -> (-2/13,-3/20) Hyperbolic Matrix(219,92,388,163) (-8/19,-5/12) -> (9/16,4/7) 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(547,226,-1474,-609) (-12/29,-7/17) -> (-13/35,-10/27) 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(109,44,52,21) (-9/22,-2/5) -> (2/1,13/6) 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(947,370,366,143) (-9/23,-7/18) -> (31/12,13/5) 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(207,80,784,303) (-12/31,-5/13) -> (5/19,4/15) Hyperbolic Matrix(413,158,1090,417) (-5/13,-13/34) -> (3/8,11/29) Hyperbolic Matrix(309,118,-982,-375) (-13/34,-8/21) -> (-6/19,-5/16) Hyperbolic Matrix(1757,668,1444,549) (-8/21,-19/50) -> (17/14,28/23) Hyperbolic Matrix(7741,2940,4900,1861) (-19/50,-30/79) -> (30/19,79/50) Hyperbolic Matrix(3403,1292,4180,1587) (-30/79,-11/29) -> (35/43,22/27) Hyperbolic Matrix(929,352,256,97) (-11/29,-3/8) -> (29/8,11/3) Hyperbolic Matrix(409,152,-1784,-663) (-3/8,-13/35) -> (-3/13,-11/48) Hyperbolic Matrix(303,112,560,207) (-10/27,-7/19) -> (7/13,6/11) Hyperbolic Matrix(605,222,962,353) (-7/19,-11/30) -> (5/8,17/27) Hyperbolic Matrix(1109,406,-3734,-1367) (-11/30,-15/41) -> (-11/37,-19/64) Hyperbolic Matrix(199,72,152,55) (-4/11,-5/14) -> (13/10,4/3) Hyperbolic Matrix(597,212,-2036,-723) (-5/14,-11/31) -> (-5/17,-17/58) Hyperbolic Matrix(1885,668,1188,421) (-11/31,-6/17) -> (46/29,27/17) Hyperbolic Matrix(199,70,-742,-261) (-6/17,-1/3) -> (-11/41,-4/15) Hyperbolic Matrix(187,60,-988,-317) (-1/3,-7/22) -> (-11/58,-7/37) Hyperbolic Matrix(1113,346,1766,549) (-5/16,-9/29) -> (17/27,29/46) Hyperbolic Matrix(4171,1292,2644,819) (-9/29,-13/42) -> (41/26,71/45) 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(183,56,232,71) (-4/13,-3/10) -> (11/14,4/5) Hyperbolic Matrix(455,136,184,55) (-3/10,-11/37) -> (27/11,5/2) Hyperbolic Matrix(2729,810,502,149) (-19/64,-8/27) -> (38/7,11/2) Hyperbolic Matrix(1635,484,956,283) (-8/27,-13/44) -> (41/24,12/7) Hyperbolic Matrix(271,80,2544,751) (-31/105,-18/61) -> (2/19,1/9) Hyperbolic Matrix(1269,374,682,201) (-18/61,-5/17) -> (13/7,28/15) Hyperbolic Matrix(5249,1538,2174,637) (-17/58,-12/41) -> (70/29,29/12) Hyperbolic Matrix(2441,714,1494,437) (-12/41,-7/24) -> (49/30,18/11) 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(177,50,46,13) (-2/7,-5/18) -> (15/4,4/1) 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(973,268,2516,693) (-8/29,-11/40) -> (17/44,12/31) Hyperbolic Matrix(263,72,-968,-265) (-11/40,-3/11) -> (-3/11,-13/48) Parabolic Matrix(1841,498,2414,653) (-13/48,-10/37) -> (16/21,29/38) Hyperbolic Matrix(615,166,2234,603) (-10/37,-7/26) -> (11/40,8/29) Hyperbolic Matrix(439,118,-2102,-565) (-7/26,-11/41) -> (-9/43,-5/24) Hyperbolic Matrix(347,92,132,35) (-4/15,-1/4) -> (21/8,8/3) Hyperbolic Matrix(169,40,376,89) (-1/4,-4/17) -> (4/9,9/20) Hyperbolic Matrix(1753,408,2376,553) (-7/30,-10/43) -> (14/19,31/42) Hyperbolic Matrix(1919,446,3042,707) (-10/43,-3/13) -> (41/65,12/19) 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(249,56,40,9) (-5/22,-2/9) -> (6/1,13/2) Hyperbolic Matrix(163,36,412,91) (-2/9,-7/32) -> (11/28,2/5) Hyperbolic Matrix(1229,268,2004,437) (-7/32,-5/23) -> (19/31,27/44) Hyperbolic Matrix(733,158,450,97) (-5/23,-3/14) -> (13/8,31/19) 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(2109,446,610,129) (-11/52,-4/19) -> (38/11,7/2) Hyperbolic Matrix(3809,800,1376,289) (-4/19,-13/62) -> (83/30,36/13) Hyperbolic Matrix(563,116,364,75) (-5/24,-1/5) -> (17/11,31/20) Hyperbolic Matrix(633,122,358,69) (-1/5,-4/21) -> (30/17,23/13) 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(315,58,38,7) (-5/27,-2/11) -> (8/1,9/1) Hyperbolic Matrix(155,28,548,99) (-2/11,-5/28) -> (9/32,2/7) Hyperbolic Matrix(935,166,1594,283) (-5/28,-3/17) -> (17/29,27/46) Hyperbolic Matrix(463,80,272,47) (-3/17,-1/6) -> (17/10,29/17) Hyperbolic Matrix(77,12,340,53) (-1/6,-2/13) -> (2/9,5/22) Hyperbolic Matrix(375,56,904,135) (-3/20,-1/7) -> (17/41,5/12) Hyperbolic Matrix(1487,208,336,47) (-1/7,-4/29) -> (84/19,31/7) 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(869,100,252,29) (-2/17,-1/9) -> (31/9,38/11) Hyperbolic Matrix(431,46,178,19) (-1/9,0/1) -> (46/19,17/7) 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(173,-20,372,-43) (1/9,1/8) -> (13/28,7/15) Hyperbolic Matrix(397,-52,84,-11) (1/8,1/7) -> (33/7,19/4) 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(3229,-610,1858,-351) (3/16,7/37) -> (33/19,73/42) Hyperbolic Matrix(3605,-684,2124,-403) (7/37,4/21) -> (56/33,73/43) Hyperbolic Matrix(267,-52,724,-141) (4/21,1/5) -> (7/19,24/65) Hyperbolic Matrix(211,-46,78,-17) (1/5,2/9) -> (8/3,19/7) Hyperbolic Matrix(157,-36,676,-155) (5/22,3/13) -> (3/13,7/30) Parabolic Matrix(1245,-292,388,-91) (7/30,4/17) -> (16/5,45/14) 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(403,-108,556,-149) (4/15,3/11) -> (21/29,8/11) Hyperbolic Matrix(1255,-344,1784,-489) (3/11,11/40) -> (45/64,19/27) 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(1481,-438,470,-139) (13/44,8/27) -> (22/7,19/6) Hyperbolic Matrix(1037,-308,468,-139) (8/27,3/10) -> (31/14,20/9) Hyperbolic Matrix(245,-74,394,-119) (3/10,4/13) -> (18/29,5/8) Hyperbolic Matrix(341,-106,74,-23) (4/13,1/3) -> (23/5,14/3) Hyperbolic Matrix(377,-134,166,-59) (1/3,5/14) -> (9/4,25/11) Hyperbolic Matrix(189,-68,164,-59) (5/14,4/11) -> (8/7,7/6) Hyperbolic Matrix(1781,-652,2412,-883) (15/41,11/30) -> (31/42,17/23) Hyperbolic Matrix(1967,-722,2738,-1005) (11/30,18/49) -> (28/39,23/32) Hyperbolic Matrix(1403,-516,1732,-637) (18/49,7/19) -> (17/21,30/37) Hyperbolic Matrix(2897,-1070,398,-147) (24/65,17/46) -> (29/4,22/3) Hyperbolic Matrix(1541,-570,538,-199) (17/46,10/27) -> (20/7,23/8) Hyperbolic Matrix(1121,-416,256,-95) (10/27,3/8) -> (35/8,22/5) 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(1709,-660,2100,-811) (5/13,17/44) -> (13/16,35/43) 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(1407,-578,2018,-829) (16/39,7/17) -> (23/33,30/43) Hyperbolic Matrix(1403,-580,612,-253) (7/17,12/29) -> (16/7,39/17) Hyperbolic Matrix(589,-244,1108,-459) (12/29,17/41) -> (9/17,8/15) Hyperbolic Matrix(1083,-454,1510,-633) (18/43,13/31) -> (5/7,28/39) 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(223,-98,66,-29) (3/7,4/9) -> (10/3,17/5) Hyperbolic Matrix(221,-100,484,-219) (9/20,5/11) -> (5/11,11/24) Parabolic Matrix(921,-424,328,-151) (11/24,6/13) -> (14/5,45/16) Hyperbolic Matrix(695,-328,392,-185) (7/15,1/2) -> (39/22,55/31) Hyperbolic Matrix(1969,-1040,816,-431) (1/2,9/17) -> (41/17,111/46) Hyperbolic Matrix(625,-334,814,-435) (8/15,7/13) -> (33/43,10/13) Hyperbolic Matrix(1945,-1064,744,-407) (6/11,17/31) -> (81/31,34/13) Hyperbolic Matrix(3429,-1882,2170,-1191) (17/31,11/20) -> (79/50,49/31) Hyperbolic Matrix(949,-524,556,-307) (11/20,5/9) -> (29/17,41/24) Hyperbolic Matrix(369,-206,206,-115) (5/9,9/16) -> (25/14,9/5) Hyperbolic Matrix(121,-70,102,-59) (4/7,7/12) -> (7/6,6/5) Hyperbolic Matrix(3797,-2220,2988,-1747) (7/12,31/53) -> (47/37,61/48) Hyperbolic Matrix(4321,-2528,5632,-3295) (31/53,24/41) -> (56/73,33/43) Hyperbolic Matrix(3591,-2104,2200,-1289) (24/41,17/29) -> (31/19,80/49) 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(3061,-1866,1770,-1079) (14/23,25/41) -> (19/11,64/37) Hyperbolic Matrix(6401,-3904,3776,-2303) (25/41,36/59) -> (100/59,39/23) Hyperbolic Matrix(4649,-2838,1014,-619) (36/59,11/18) -> (55/12,78/17) Hyperbolic Matrix(1469,-900,932,-571) (11/18,19/31) -> (11/7,41/26) Hyperbolic Matrix(5829,-3578,2618,-1607) (27/44,35/57) -> (69/31,49/22) Hyperbolic Matrix(911,-562,1266,-781) (8/13,21/34) -> (23/32,18/25) Hyperbolic Matrix(1463,-904,1128,-697) (21/34,13/21) -> (35/27,13/10) Hyperbolic Matrix(1423,-882,434,-269) (13/21,18/29) -> (36/11,23/7) Hyperbolic Matrix(1649,-1040,176,-111) (29/46,41/65) -> (9/1,19/2) Hyperbolic Matrix(391,-248,216,-137) (12/19,7/11) -> (9/5,20/11) Hyperbolic Matrix(429,-274,274,-175) (7/11,9/14) -> (25/16,11/7) Hyperbolic Matrix(495,-338,722,-493) (2/3,13/19) -> (13/19,24/35) Parabolic Matrix(1251,-862,1534,-1057) (11/16,20/29) -> (22/27,31/38) 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(5261,-3698,3026,-2127) (26/37,45/64) -> (73/42,40/23) Hyperbolic Matrix(299,-212,244,-173) (12/17,5/7) -> (11/9,16/13) Hyperbolic Matrix(1115,-804,484,-349) (18/25,13/18) -> (23/10,30/13) Hyperbolic Matrix(1597,-1156,612,-443) (13/18,21/29) -> (13/5,47/18) Hyperbolic Matrix(295,-216,56,-41) (8/11,11/15) -> (5/1,16/3) Hyperbolic Matrix(1661,-1220,516,-379) (11/15,25/34) -> (45/14,29/9) Hyperbolic Matrix(3135,-2306,866,-637) (25/34,14/19) -> (76/21,29/8) Hyperbolic Matrix(873,-664,472,-359) (3/4,16/21) -> (24/13,37/20) 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(1399,-1096,808,-633) (18/23,11/14) -> (45/26,26/15) 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(2961,-2416,1744,-1423) (31/38,9/11) -> (73/43,17/10) Hyperbolic Matrix(317,-260,228,-187) (9/11,5/6) -> (25/18,7/5) Hyperbolic Matrix(139,-118,86,-73) (5/6,1/1) -> (21/13,13/8) Hyperbolic Matrix(211,-236,76,-85) (1/1,8/7) -> (36/13,25/9) Hyperbolic Matrix(1187,-1436,348,-421) (6/5,23/19) -> (17/5,58/17) Hyperbolic Matrix(343,-424,72,-89) (16/13,5/4) -> (19/4,24/5) Hyperbolic Matrix(397,-500,212,-267) (5/4,24/19) -> (28/15,15/8) 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(5583,-7090,3538,-4493) (33/26,47/37) -> (71/45,101/64) 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(81,-110,14,-19) (4/3,11/8) -> (11/2,6/1) Hyperbolic Matrix(403,-556,108,-149) (11/8,18/13) -> (26/7,15/4) Hyperbolic Matrix(965,-1338,282,-391) (18/13,25/18) -> (41/12,24/7) Hyperbolic Matrix(691,-974,398,-561) (7/5,24/17) -> (26/15,33/19) Hyperbolic Matrix(1193,-1686,438,-619) (24/17,17/12) -> (49/18,30/11) Hyperbolic Matrix(555,-788,212,-301) (17/12,10/7) -> (34/13,21/8) Hyperbolic Matrix(157,-226,66,-95) (10/7,3/2) -> (19/8,12/5) Hyperbolic 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(675,-1052,188,-293) (14/9,25/16) -> (43/12,18/5) Hyperbolic Matrix(2429,-3842,930,-1471) (49/31,19/12) -> (47/18,81/31) Hyperbolic Matrix(149,-236,12,-19) (19/12,46/29) -> (10/1,1/0) 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(4813,-7860,1300,-2123) (80/49,49/30) -> (37/10,100/27) 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(23585,-39968,13312,-22559) (61/36,161/95) -> (225/127,163/92) Hyperbolic Matrix(19165,-32482,10818,-18335) (161/95,100/59) -> (62/35,225/127) Hyperbolic Matrix(329,-566,118,-203) (12/7,19/11) -> (25/9,14/5) Hyperbolic Matrix(2009,-3496,712,-1239) (40/23,7/4) -> (79/28,48/17) Hyperbolic Matrix(621,-1106,242,-431) (16/9,25/14) -> (41/16,18/7) Hyperbolic Matrix(1135,-2066,306,-557) (20/11,31/17) -> (63/17,26/7) Hyperbolic Matrix(3149,-5746,850,-1551) (31/17,42/23) -> (100/27,63/17) Hyperbolic Matrix(221,-484,100,-219) (13/6,11/5) -> (11/5,31/14) Parabolic Matrix(4643,-10332,1052,-2341) (20/9,69/31) -> (75/17,128/29) Hyperbolic Matrix(527,-1202,146,-333) (25/11,16/7) -> (18/5,47/13) Hyperbolic Matrix(2271,-5218,514,-1181) (62/27,23/10) -> (53/12,84/19) Hyperbolic Matrix(3887,-8978,1682,-3885) (30/13,67/29) -> (67/29,104/45) Parabolic Matrix(733,-1700,260,-603) (37/16,7/3) -> (31/11,79/28) Hyperbolic Matrix(1711,-4050,722,-1709) (26/11,45/19) -> (45/19,64/27) Parabolic 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(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(447,-1154,98,-253) (18/7,31/12) -> (9/2,32/7) Hyperbolic Matrix(293,-796,60,-163) (19/7,49/18) -> (29/6,5/1) 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(49,-144,16,-47) (23/8,3/1) -> (3/1,25/8) Parabolic 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(783,-2672,80,-273) (58/17,99/29) -> (29/3,10/1) Hyperbolic Matrix(899,-3070,94,-321) (99/29,41/12) -> (19/2,29/3) Hyperbolic Matrix(351,-1250,98,-349) (7/2,25/7) -> (25/7,43/12) Parabolic Matrix(1497,-5414,326,-1179) (47/13,76/21) -> (78/17,23/5) Hyperbolic Matrix(157,-676,36,-155) (17/4,13/3) -> (13/3,35/8) Parabolic 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(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(1,2,-2,-3) Matrix(121,56,296,137) -> Matrix(1,1,-4,-3) Matrix(239,110,-654,-301) -> Matrix(7,5,-10,-7) Matrix(1403,634,582,263) -> Matrix(5,4,6,5) Matrix(817,368,464,209) -> Matrix(5,4,-4,-3) Matrix(233,104,56,25) -> Matrix(1,1,-4,-3) Matrix(113,50,174,77) -> Matrix(1,1,-6,-5) Matrix(225,98,-962,-419) -> Matrix(1,1,-6,-5) Matrix(341,148,-1076,-467) -> Matrix(3,1,-4,-1) Matrix(453,196,1916,829) -> Matrix(31,26,-68,-57) Matrix(1351,584,2200,951) -> Matrix(1,1,-8,-7) Matrix(1669,710,2842,1209) -> Matrix(7,5,-10,-7) Matrix(669,284,1444,613) -> Matrix(7,4,-16,-9) Matrix(1335,566,-3446,-1461) -> Matrix(1,2,-2,-3) Matrix(109,46,-718,-303) -> Matrix(1,1,-6,-5) Matrix(219,92,388,163) -> Matrix(1,1,-4,-3) Matrix(327,136,440,183) -> Matrix(5,4,-4,-3) Matrix(1531,634,326,135) -> Matrix(17,12,-10,-7) Matrix(547,226,-1474,-609) -> Matrix(7,5,-10,-7) Matrix(1957,804,-6628,-2723) -> Matrix(17,14,-28,-23) Matrix(2173,892,324,133) -> Matrix(5,4,-4,-3) Matrix(1517,622,978,401) -> Matrix(5,4,-14,-11) Matrix(109,44,52,21) -> Matrix(1,1,-4,-3) Matrix(529,208,1264,497) -> Matrix(5,4,-4,-3) Matrix(1159,454,314,123) -> Matrix(11,8,-18,-13) Matrix(947,370,366,143) -> Matrix(7,5,-10,-7) Matrix(1361,528,1776,689) -> Matrix(1,0,0,1) Matrix(1357,526,-6478,-2511) -> Matrix(1,4,-2,-7) Matrix(207,80,784,303) -> Matrix(1,1,-8,-7) Matrix(413,158,1090,417) -> Matrix(7,5,-10,-7) Matrix(309,118,-982,-375) -> Matrix(15,11,-26,-19) Matrix(1757,668,1444,549) -> Matrix(3,2,16,11) Matrix(7741,2940,4900,1861) -> Matrix(7,5,4,3) Matrix(3403,1292,4180,1587) -> Matrix(7,5,-24,-17) Matrix(929,352,256,97) -> Matrix(13,9,-16,-11) Matrix(409,152,-1784,-663) -> Matrix(1,1,-4,-3) Matrix(303,112,560,207) -> Matrix(1,1,-4,-3) Matrix(605,222,962,353) -> Matrix(13,9,-42,-29) Matrix(1109,406,-3734,-1367) -> Matrix(37,24,-54,-35) Matrix(199,72,152,55) -> Matrix(1,1,-4,-3) Matrix(597,212,-2036,-723) -> Matrix(13,9,-16,-11) Matrix(1885,668,1188,421) -> Matrix(3,2,16,11) Matrix(199,70,-742,-261) -> Matrix(7,5,-10,-7) Matrix(187,60,-988,-317) -> Matrix(13,9,-16,-11) Matrix(1113,346,1766,549) -> Matrix(25,16,-86,-55) Matrix(4171,1292,2644,819) -> Matrix(5,3,8,5) Matrix(1759,544,928,287) -> Matrix(3,2,-8,-5) Matrix(2131,658,3054,943) -> Matrix(3,2,-2,-1) Matrix(183,56,232,71) -> Matrix(5,3,-12,-7) Matrix(455,136,184,55) -> Matrix(5,4,-4,-3) Matrix(2729,810,502,149) -> Matrix(55,37,-58,-39) Matrix(1635,484,956,283) -> Matrix(11,7,-8,-5) Matrix(271,80,2544,751) -> Matrix(3,2,-8,-5) Matrix(1269,374,682,201) -> Matrix(5,3,-2,-1) Matrix(5249,1538,2174,637) -> Matrix(1,0,2,1) Matrix(2441,714,1494,437) -> Matrix(11,9,6,5) Matrix(1353,394,182,53) -> Matrix(17,12,-10,-7) Matrix(3521,1024,1984,577) -> Matrix(3,2,4,3) Matrix(269,78,1714,497) -> Matrix(29,20,-74,-51) Matrix(989,286,1442,417) -> Matrix(3,2,58,39) Matrix(177,50,46,13) -> Matrix(5,3,-2,-1) Matrix(267,74,-1418,-393) -> Matrix(13,8,-18,-11) Matrix(1679,464,1328,367) -> Matrix(7,4,12,7) Matrix(973,268,2516,693) -> Matrix(5,3,-32,-19) Matrix(263,72,-968,-265) -> Matrix(7,4,-16,-9) Matrix(1841,498,2414,653) -> Matrix(1,1,-2,-1) Matrix(615,166,2234,603) -> Matrix(1,1,-6,-5) Matrix(439,118,-2102,-565) -> Matrix(1,4,-2,-7) Matrix(347,92,132,35) -> Matrix(1,1,-4,-3) Matrix(169,40,376,89) -> Matrix(7,3,-12,-5) Matrix(1753,408,2376,553) -> Matrix(1,3,0,1) Matrix(1919,446,3042,707) -> Matrix(5,7,-18,-25) Matrix(3737,856,1576,361) -> Matrix(3,4,-4,-5) Matrix(913,208,496,113) -> Matrix(5,4,-4,-3) Matrix(249,56,40,9) -> Matrix(1,1,-4,-3) Matrix(163,36,412,91) -> Matrix(3,2,4,3) Matrix(1229,268,2004,437) -> Matrix(17,11,-48,-31) Matrix(733,158,450,97) -> Matrix(1,1,-2,-1) Matrix(731,156,164,35) -> Matrix(19,12,-8,-5) Matrix(1379,292,732,155) -> Matrix(3,2,-8,-5) Matrix(2109,446,610,129) -> Matrix(17,11,-14,-9) Matrix(3809,800,1376,289) -> Matrix(63,38,-68,-41) Matrix(563,116,364,75) -> Matrix(5,3,-12,-7) Matrix(633,122,358,69) -> Matrix(1,1,-2,-1) Matrix(3873,736,1184,225) -> Matrix(11,12,-12,-13) Matrix(707,132,316,59) -> Matrix(13,10,-4,-3) Matrix(315,58,38,7) -> Matrix(5,3,-2,-1) Matrix(155,28,548,99) -> Matrix(3,2,4,3) Matrix(935,166,1594,283) -> Matrix(5,3,-2,-1) Matrix(463,80,272,47) -> Matrix(11,7,-8,-5) Matrix(77,12,340,53) -> Matrix(11,5,-20,-9) Matrix(375,56,904,135) -> Matrix(1,0,0,1) Matrix(1487,208,336,47) -> Matrix(9,7,-4,-3) Matrix(2077,286,1634,225) -> Matrix(1,0,2,1) Matrix(221,30,1186,161) -> Matrix(3,2,10,7) Matrix(589,78,370,49) -> Matrix(3,2,-2,-1) Matrix(653,78,946,113) -> Matrix(7,4,26,15) Matrix(869,100,252,29) -> Matrix(35,19,-24,-13) Matrix(431,46,178,19) -> Matrix(3,1,2,1) Matrix(583,-56,760,-73) -> Matrix(5,2,-8,-3) Matrix(1743,-178,754,-77) -> Matrix(11,2,-6,-1) Matrix(173,-20,372,-43) -> Matrix(5,3,-12,-7) Matrix(397,-52,84,-11) -> Matrix(11,7,-8,-5) Matrix(223,-34,610,-93) -> Matrix(9,4,-34,-15) Matrix(2273,-352,1440,-223) -> Matrix(5,2,12,5) Matrix(1105,-176,496,-79) -> Matrix(37,14,-8,-3) Matrix(435,-76,1036,-181) -> Matrix(7,2,-4,-1) Matrix(597,-106,490,-87) -> Matrix(1,0,6,1) Matrix(271,-50,1458,-269) -> Matrix(1,0,10,1) Matrix(3229,-610,1858,-351) -> Matrix(1,1,-2,-1) Matrix(3605,-684,2124,-403) -> Matrix(1,-1,0,1) Matrix(267,-52,724,-141) -> Matrix(1,1,-4,-3) Matrix(211,-46,78,-17) -> Matrix(5,3,-2,-1) Matrix(157,-36,676,-155) -> Matrix(39,20,-80,-41) Matrix(1245,-292,388,-91) -> Matrix(49,23,-32,-15) Matrix(1553,-368,2224,-527) -> Matrix(9,4,20,9) Matrix(1137,-272,464,-111) -> Matrix(41,18,-16,-7) Matrix(405,-106,1066,-279) -> Matrix(7,2,-18,-5) Matrix(403,-108,556,-149) -> Matrix(1,0,0,1) Matrix(1255,-344,1784,-489) -> Matrix(11,3,-4,-1) Matrix(853,-236,300,-83) -> Matrix(1,0,4,1) Matrix(351,-98,1250,-349) -> Matrix(1,0,14,1) Matrix(447,-130,1090,-317) -> Matrix(1,0,2,1) Matrix(841,-246,694,-203) -> Matrix(1,0,6,1) Matrix(889,-262,1286,-379) -> Matrix(1,0,2,1) Matrix(1481,-438,470,-139) -> Matrix(3,-1,-2,1) Matrix(1037,-308,468,-139) -> Matrix(1,-7,0,1) Matrix(245,-74,394,-119) -> Matrix(1,0,-2,1) Matrix(341,-106,74,-23) -> Matrix(5,3,-2,-1) Matrix(377,-134,166,-59) -> Matrix(1,1,-2,-1) Matrix(189,-68,164,-59) -> Matrix(3,1,8,3) Matrix(1781,-652,2412,-883) -> Matrix(13,3,4,1) Matrix(1967,-722,2738,-1005) -> Matrix(3,1,-10,-3) Matrix(1403,-516,1732,-637) -> Matrix(1,0,0,1) Matrix(2897,-1070,398,-147) -> Matrix(1,1,-2,-1) Matrix(1541,-570,538,-199) -> Matrix(3,1,-10,-3) Matrix(1121,-416,256,-95) -> Matrix(19,5,-4,-1) Matrix(3293,-1252,2596,-987) -> Matrix(11,4,8,3) Matrix(555,-212,788,-301) -> Matrix(7,2,-4,-1) Matrix(1709,-660,2100,-811) -> Matrix(5,1,-16,-3) Matrix(877,-340,276,-107) -> Matrix(15,2,-8,-1) Matrix(415,-162,1058,-413) -> Matrix(1,0,18,1) Matrix(1407,-578,2018,-829) -> Matrix(1,-1,2,-1) Matrix(1403,-580,612,-253) -> Matrix(1,-1,0,1) Matrix(589,-244,1108,-459) -> Matrix(1,1,0,1) Matrix(1083,-454,1510,-633) -> Matrix(1,1,-2,-1) Matrix(4055,-1704,2344,-985) -> Matrix(3,4,-4,-5) Matrix(315,-134,134,-57) -> Matrix(3,2,-2,-1) Matrix(223,-98,66,-29) -> Matrix(5,3,-2,-1) Matrix(221,-100,484,-219) -> Matrix(23,12,-48,-25) Matrix(921,-424,328,-151) -> Matrix(11,5,-20,-9) Matrix(695,-328,392,-185) -> Matrix(5,2,-8,-3) Matrix(1969,-1040,816,-431) -> Matrix(3,-1,4,-1) Matrix(625,-334,814,-435) -> Matrix(1,1,-2,-1) Matrix(1945,-1064,744,-407) -> Matrix(1,0,0,1) Matrix(3429,-1882,2170,-1191) -> Matrix(3,1,2,1) Matrix(949,-524,556,-307) -> Matrix(1,-1,0,1) Matrix(369,-206,206,-115) -> Matrix(1,0,2,1) Matrix(121,-70,102,-59) -> Matrix(1,1,-2,-1) Matrix(3797,-2220,2988,-1747) -> Matrix(13,8,8,5) Matrix(4321,-2528,5632,-3295) -> Matrix(1,1,-4,-3) Matrix(3591,-2104,2200,-1289) -> Matrix(5,1,4,1) Matrix(2661,-1564,604,-355) -> Matrix(13,10,-4,-3) Matrix(121,-72,200,-119) -> Matrix(7,4,-16,-9) Matrix(3061,-1866,1770,-1079) -> Matrix(17,7,-22,-9) Matrix(6401,-3904,3776,-2303) -> Matrix(59,24,-32,-13) Matrix(4649,-2838,1014,-619) -> Matrix(23,9,-18,-7) Matrix(1469,-900,932,-571) -> Matrix(3,1,8,3) Matrix(5829,-3578,2618,-1607) -> Matrix(7,4,-2,-1) Matrix(911,-562,1266,-781) -> Matrix(5,2,-18,-7) Matrix(1463,-904,1128,-697) -> Matrix(13,5,-8,-3) Matrix(1423,-882,434,-269) -> Matrix(11,4,-14,-5) Matrix(1649,-1040,176,-111) -> Matrix(67,19,-60,-17) Matrix(391,-248,216,-137) -> Matrix(5,1,4,1) Matrix(429,-274,274,-175) -> Matrix(1,0,6,1) Matrix(495,-338,722,-493) -> Matrix(1,0,26,1) Matrix(1251,-862,1534,-1057) -> Matrix(5,-1,-14,3) Matrix(1701,-1180,604,-419) -> Matrix(1,0,-4,1) Matrix(2417,-1680,528,-367) -> Matrix(1,-2,0,1) Matrix(2943,-2050,1282,-893) -> Matrix(5,-2,-2,1) Matrix(827,-580,452,-317) -> Matrix(1,-4,0,1) Matrix(5261,-3698,3026,-2127) -> Matrix(1,5,-2,-9) Matrix(299,-212,244,-173) -> Matrix(1,1,0,1) Matrix(1115,-804,484,-349) -> Matrix(7,2,-4,-1) Matrix(1597,-1156,612,-443) -> Matrix(3,1,-4,-1) Matrix(295,-216,56,-41) -> Matrix(5,-1,-4,1) Matrix(1661,-1220,516,-379) -> Matrix(11,-4,-8,3) Matrix(3135,-2306,866,-637) -> Matrix(11,-7,-14,9) Matrix(873,-664,472,-359) -> Matrix(1,0,0,1) Matrix(4501,-3436,2540,-1939) -> Matrix(3,4,-4,-5) Matrix(253,-196,324,-251) -> Matrix(7,4,-16,-9) Matrix(1399,-1096,808,-633) -> Matrix(7,3,-12,-5) Matrix(283,-228,36,-29) -> Matrix(7,2,-4,-1) Matrix(883,-716,460,-373) -> Matrix(1,0,4,1) Matrix(1343,-1090,706,-573) -> Matrix(1,0,2,1) Matrix(2961,-2416,1744,-1423) -> Matrix(11,3,-4,-1) Matrix(317,-260,228,-187) -> Matrix(5,1,4,1) Matrix(139,-118,86,-73) -> Matrix(3,1,2,1) Matrix(211,-236,76,-85) -> Matrix(3,1,-4,-1) Matrix(1187,-1436,348,-421) -> Matrix(17,-2,-8,1) Matrix(343,-424,72,-89) -> Matrix(5,-1,-4,1) Matrix(397,-500,212,-267) -> Matrix(1,-1,0,1) Matrix(8101,-10268,4572,-5795) -> Matrix(7,-6,-8,7) Matrix(9341,-11844,2116,-2683) -> Matrix(25,-28,-8,9) Matrix(5583,-7090,3538,-4493) -> Matrix(1,-1,-2,3) Matrix(253,-324,196,-251) -> Matrix(1,-4,0,1) Matrix(2175,-2818,1282,-1661) -> Matrix(3,8,-2,-5) Matrix(81,-110,14,-19) -> Matrix(1,1,-2,-1) Matrix(403,-556,108,-149) -> Matrix(1,0,-4,1) Matrix(965,-1338,282,-391) -> Matrix(11,-9,-6,5) Matrix(691,-974,398,-561) -> Matrix(1,2,-2,-3) Matrix(1193,-1686,438,-619) -> Matrix(3,5,-2,-3) Matrix(555,-788,212,-301) -> Matrix(1,0,0,1) Matrix(157,-226,66,-95) -> Matrix(1,1,-2,-1) Matrix(681,-1046,278,-427) -> Matrix(5,8,-2,-3) Matrix(981,-1514,554,-855) -> Matrix(3,2,-2,-1) Matrix(675,-1052,188,-293) -> Matrix(11,1,-12,-1) Matrix(2429,-3842,930,-1471) -> Matrix(1,1,-2,-1) Matrix(149,-236,12,-19) -> Matrix(1,-1,0,1) Matrix(915,-1454,494,-785) -> Matrix(1,0,-2,1) Matrix(245,-394,74,-119) -> Matrix(1,0,-2,1) Matrix(4813,-7860,1300,-2123) -> Matrix(15,-23,-28,43) Matrix(121,-200,72,-119) -> Matrix(1,-4,0,1) Matrix(1117,-1892,356,-603) -> Matrix(7,16,-4,-9) Matrix(23585,-39968,13312,-22559) -> Matrix(31,63,-32,-65) Matrix(19165,-32482,10818,-18335) -> Matrix(27,53,-26,-51) Matrix(329,-566,118,-203) -> Matrix(1,2,-2,-3) Matrix(2009,-3496,712,-1239) -> Matrix(3,1,-4,-1) Matrix(621,-1106,242,-431) -> Matrix(5,1,-6,-1) Matrix(1135,-2066,306,-557) -> Matrix(1,-7,-2,15) Matrix(3149,-5746,850,-1551) -> Matrix(1,21,-2,-41) Matrix(221,-484,100,-219) -> Matrix(1,-10,0,1) Matrix(4643,-10332,1052,-2341) -> Matrix(13,62,-4,-19) Matrix(527,-1202,146,-333) -> Matrix(5,11,-6,-13) Matrix(2271,-5218,514,-1181) -> Matrix(5,13,-2,-5) Matrix(3887,-8978,1682,-3885) -> Matrix(11,24,-6,-13) Matrix(733,-1700,260,-603) -> Matrix(1,1,0,1) Matrix(1711,-4050,722,-1709) -> Matrix(13,14,-14,-15) Matrix(4613,-11132,956,-2307) -> Matrix(11,-10,-12,11) Matrix(899,-2174,318,-769) -> Matrix(1,-2,-2,5) Matrix(447,-1090,130,-317) -> Matrix(3,14,-2,-9) Matrix(415,-1058,162,-413) -> Matrix(9,10,-10,-11) Matrix(447,-1154,98,-253) -> Matrix(5,3,-2,-1) Matrix(293,-796,60,-163) -> Matrix(1,1,0,1) Matrix(223,-610,34,-93) -> Matrix(1,2,-2,-3) Matrix(1599,-4418,578,-1597) -> Matrix(25,26,-26,-27) Matrix(49,-144,16,-47) -> Matrix(1,-2,0,1) Matrix(227,-734,30,-97) -> Matrix(1,2,-2,-3) Matrix(1471,-4802,450,-1469) -> Matrix(29,30,-30,-31) Matrix(783,-2672,80,-273) -> Matrix(19,39,-20,-41) Matrix(899,-3070,94,-321) -> Matrix(27,53,-26,-51) Matrix(351,-1250,98,-349) -> Matrix(21,22,-22,-23) Matrix(1497,-5414,326,-1179) -> Matrix(1,1,-6,-5) Matrix(157,-676,36,-155) -> Matrix(1,-6,0,1) Matrix(1167,-5618,242,-1165) -> Matrix(21,22,-22,-23) Matrix(271,-1458,50,-269) -> Matrix(33,34,-34,-35) Matrix(57,-392,8,-55) -> Matrix(1,-2,0,1) 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): 170 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 -1/1 1 1 0/1 -1/2 1 32 1/10 (-1/3,0/1) 0 32 1/9 0 16 1/8 (-1/1,-2/3) 0 32 1/7 -1/2 6 4 2/13 -5/12 1 32 3/19 0 16 1/6 (-1/3,0/1) 0 32 3/17 -1/4 1 8 2/11 -1/4 1 32 5/27 0/1 5 1 3/16 (0/1,1/1) 0 32 7/37 1/0 2 8 4/21 -1/2 1 32 1/5 0 16 2/9 -7/12 1 32 3/13 -1/2 10 2 4/17 -1/2 1 32 5/21 0 16 1/4 (-2/5,-1/3) 0 32 4/15 -1/6 1 32 3/11 0 16 8/29 -1/6 1 32 5/18 (-1/7,0/1) 0 32 7/25 0/1 7 1 2/7 1/0 1 32 7/24 (-1/3,0/1) 0 32 5/17 0 16 13/44 (2/3,1/1) 0 32 8/27 3/2 1 32 3/10 (-2/1,-1/1) 0 32 4/13 -5/6 1 32 1/3 -1/2 2 8 5/14 (-2/5,-1/3) 0 32 4/11 -3/10 1 32 15/41 -1/4 6 4 11/30 (-1/3,0/1) 0 32 18/49 -1/4 1 32 7/19 0 16 24/65 -1/2 1 32 17/46 (-4/11,-1/3) 0 32 10/27 -1/4 1 32 3/8 (-1/5,0/1) 0 32 8/21 -1/2 1 32 5/13 0 16 12/31 -1/6 1 32 7/18 (-1/9,0/1) 0 32 9/23 0/1 9 1 2/5 1/0 1 32 7/17 1/0 1 4 12/29 -1/2 1 32 5/12 (0/1,1/1) 0 32 13/31 1/0 1 8 21/50 (-2/1,-1/1) 0 32 8/19 -3/2 1 32 3/7 0 16 4/9 -1/2 1 32 5/11 -1/2 6 2 6/13 -7/16 1 32 7/15 0 16 1/2 (-1/3,0/1) 0 32 6/11 1/0 1 32 17/31 -1/2 1 2 11/20 (-1/3,0/1) 0 32 5/9 0 16 4/7 -3/2 1 32 7/12 (-1/1,-2/3) 0 32 31/53 -1/2 2 8 24/41 -1/2 1 32 17/29 0 16 10/17 -3/4 1 32 3/5 -1/2 2 4 14/23 -5/12 1 32 25/41 0 16 36/59 -23/58 1 32 11/18 (-2/5,-1/3) 0 32 19/31 0 16 8/13 -1/2 1 32 21/34 (-2/5,-1/3) 0 32 13/21 0 16 18/29 -5/16 1 32 5/8 (-2/5,-1/3) 0 32 12/19 -7/26 1 32 7/11 0 16 2/3 -1/4 1 32 13/19 0/1 13 1 11/16 (0/1,1/9) 0 32 20/29 1/6 1 32 9/13 0 16 25/36 (2/3,1/1) 0 32 16/23 1/2 1 32 23/33 1/2 1 4 7/10 (1/1,2/1) 0 32 26/37 1/0 1 32 19/27 0 16 12/17 -3/2 1 32 5/7 -1/2 1 8 23/32 (-1/3,0/1) 0 32 18/25 -1/4 1 32 13/18 (-1/1,0/1) 0 32 21/29 0 16 8/11 -1/6 1 32 11/15 0 16 25/34 (3/5,2/3) 0 32 14/19 5/4 1 32 3/4 (-1/1,0/1) 0 32 16/21 -1/2 1 32 13/17 0 16 10/13 -3/4 1 32 7/9 -1/2 2 2 4/5 -1/2 1 32 17/21 0 16 30/37 -1/4 1 32 43/53 0/1 1 1 13/16 (-1/3,0/1) 0 32 22/27 -1/4 1 32 31/38 (-1/3,-4/13) 0 32 9/11 -1/4 2 8 5/6 (0/1,1/1) 0 32 1/1 0 16 8/7 1/6 1 32 7/6 (0/1,1/1) 0 32 6/5 -1/4 1 32 23/19 0 16 17/14 (0/1,1/3) 0 32 11/9 1/2 1 8 16/13 -1/2 1 32 5/4 (0/1,1/1) 0 32 19/15 0 16 33/26 (0/1,1/1) 0 32 47/37 3/2 2 8 14/11 1/0 1 32 9/7 1/0 2 2 4/3 -1/2 1 32 11/8 (0/1,1/5) 0 32 18/13 5/8 1 32 25/18 (1/1,6/5) 0 32 7/5 1/0 2 8 24/17 -3/2 1 32 17/12 (-1/1,-2/3) 0 32 10/7 1/0 1 32 3/2 (0/1,1/1) 0 32 20/13 -7/6 1 32 17/11 -1/2 2 8 14/9 -1/4 1 32 11/7 0 16 41/26 (0/1,1/1) 0 32 30/19 1/0 1 32 49/31 1/0 1 2 19/12 (0/1,1/1) 0 32 27/17 1/2 1 8 8/5 1/2 1 32 21/13 0 16 13/8 (1/1,4/3) 0 32 18/11 1/0 1 32 5/3 1/0 2 4 22/13 1/0 1 32 61/36 (-23/11,-2/1) 0 32 161/95 -2/1 29 1 100/59 -35/18 1 32 39/23 0 16 17/10 (-2/1,-5/3) 0 32 12/7 -1/2 1 32 19/11 0 16 26/15 1/0 1 32 33/19 -1/2 2 8 40/23 -1/2 1 32 7/4 (-1/1,0/1) 0 32 23/13 1/0 2 8 62/35 -9/8 1 32 39/22 (-1/1,-2/3) 0 32 16/9 -1/2 1 32 9/5 0 16 20/11 9/2 1 32 31/17 1/0 14 2 42/23 1/0 1 32 11/6 (-3/1,-2/1) 0 32 13/7 1/0 1 8 15/8 (-1/1,0/1) 0 32 2/1 1/0 1 32 11/5 1/0 5 2 20/9 -11/2 1 32 9/4 (-3/1,-2/1) 0 32 25/11 1/0 2 8 16/7 -3/2 1 32 39/17 1/0 1 4 62/27 1/0 1 32 23/10 (-2/1,-5/3) 0 32 30/13 1/0 1 32 67/29 -2/1 3 1 37/16 (-2/1,-5/3) 0 32 7/3 0 16 26/11 -5/4 1 32 45/19 -1/1 7 1 19/8 (-1/1,-2/3) 0 32 12/5 -1/2 1 32 29/12 (1/1,2/1) 0 32 17/7 1/0 6 4 22/9 -13/4 1 32 5/2 (-2/1,-1/1) 0 32 23/9 -1/1 5 1 18/7 -3/4 1 32 13/5 0 16 8/3 1/2 1 32 19/7 0 16 49/18 (-2/1,-9/5) 0 32 30/11 1/0 1 32 11/4 (-4/3,-1/1) 0 32 47/17 -1/1 13 1 36/13 -9/10 1 32 25/9 0 16 14/5 -3/4 1 32 31/11 0 16 17/6 (-1/3,0/1) 0 32 20/7 -1/2 1 32 23/8 (-1/7,0/1) 0 32 3/1 1/0 1 8 25/8 (-15/7,-2/1) 0 32 22/7 -7/4 1 32 19/6 (-3/1,-2/1) 0 32 16/5 -3/2 1 32 29/9 0 16 13/4 (-6/5,-1/1) 0 32 49/15 -1/1 15 1 36/11 -9/10 1 32 23/7 0 16 10/3 1/0 1 32 17/5 0 16 58/17 -25/12 1 32 99/29 -2/1 23 1 41/12 (-2/1,-21/11) 0 32 24/7 -17/10 1 32 31/9 -3/2 6 4 7/2 (-4/3,-1/1) 0 32 25/7 -1/1 11 1 18/5 -7/8 1 32 11/3 0 16 4/1 -1/2 1 32 13/3 1/0 3 2 22/5 1/0 1 32 9/2 (-2/1,-1/1) 0 32 23/5 1/0 2 8 14/3 -7/4 1 32 19/4 (-4/3,-1/1) 0 32 24/5 -7/6 1 32 53/11 -1/1 11 1 29/6 (-1/1,-4/5) 0 32 5/1 0 16 16/3 -11/10 1 32 27/5 -1/1 17 1 11/2 (-1/1,-6/7) 0 32 6/1 1/0 1 32 7/1 1/0 1 4 15/2 (-4/3,-1/1) 0 32 23/3 0 16 8/1 -3/2 1 32 1/0 (-1/1,0/1) 0 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(-1,0,2,1) (-1/1,0/1) -> (-1/1,0/1) Reflection Matrix(407,-40,234,-23) (0/1,1/10) -> (40/23,7/4) Glide Reflection Matrix(403,-44,174,-19) (1/10,1/9) -> (37/16,7/3) Glide Reflection Matrix(401,-48,142,-17) (1/9,1/8) -> (31/11,17/6) Glide Reflection Matrix(339,-46,140,-19) (1/8,1/7) -> (29/12,17/7) Glide Reflection Matrix(223,-34,610,-93) (1/7,2/13) -> (4/11,15/41) Hyperbolic Matrix(497,-78,720,-113) (2/13,3/19) -> (20/29,9/13) Glide Reflection Matrix(277,-44,938,-149) (3/19,1/6) -> (5/17,13/44) Glide Reflection Matrix(435,-76,1036,-181) (1/6,3/17) -> (13/31,21/50) Hyperbolic Matrix(433,-78,272,-49) (3/17,2/11) -> (27/17,8/5) Glide Reflection Matrix(109,-20,594,-109) (2/11,5/27) -> (2/11,5/27) Reflection Matrix(161,-30,864,-161) (5/27,3/16) -> (5/27,3/16) Reflection Matrix(755,-142,1292,-243) (3/16,7/37) -> (7/12,31/53) Glide Reflection Matrix(1505,-286,1184,-225) (7/37,4/21) -> (47/37,14/11) Glide Reflection Matrix(267,-52,724,-141) (4/21,1/5) -> (7/19,24/65) Hyperbolic Matrix(211,-46,78,-17) (1/5,2/9) -> (8/3,19/7) Hyperbolic Matrix(53,-12,234,-53) (2/9,3/13) -> (2/9,3/13) Reflection Matrix(103,-24,442,-103) (3/13,4/17) -> (3/13,4/17) Reflection Matrix(829,-196,258,-61) (4/17,5/21) -> (16/5,29/9) Glide Reflection Matrix(569,-136,774,-185) (5/21,1/4) -> (11/15,25/34) Glide Reflection Matrix(303,-80,178,-47) (1/4,4/15) -> (17/10,12/7) Glide Reflection Matrix(403,-108,556,-149) (4/15,3/11) -> (21/29,8/11) Hyperbolic Matrix(603,-166,1028,-283) (3/11,8/29) -> (17/29,10/17) Glide Reflection Matrix(853,-236,300,-83) (8/29,5/18) -> (17/6,20/7) Hyperbolic Matrix(251,-70,900,-251) (5/18,7/25) -> (5/18,7/25) Reflection Matrix(99,-28,350,-99) (7/25,2/7) -> (7/25,2/7) Reflection Matrix(199,-58,24,-7) (2/7,7/24) -> (8/1,1/0) Glide Reflection Matrix(841,-246,694,-203) (7/24,5/17) -> (23/19,17/14) Hyperbolic Matrix(1481,-438,470,-139) (13/44,8/27) -> (22/7,19/6) Hyperbolic Matrix(443,-132,198,-59) (8/27,3/10) -> (20/9,9/4) Glide Reflection Matrix(245,-74,394,-119) (3/10,4/13) -> (18/29,5/8) Hyperbolic Matrix(341,-106,74,-23) (4/13,1/3) -> (23/5,14/3) Hyperbolic Matrix(377,-134,166,-59) (1/3,5/14) -> (9/4,25/11) Hyperbolic Matrix(189,-68,164,-59) (5/14,4/11) -> (8/7,7/6) Hyperbolic Matrix(1217,-446,352,-129) (15/41,11/30) -> (31/9,7/2) Glide Reflection Matrix(795,-292,422,-155) (11/30,18/49) -> (15/8,2/1) Glide Reflection Matrix(1403,-516,1732,-637) (18/49,7/19) -> (17/21,30/37) Hyperbolic Matrix(4347,-1606,1892,-699) (24/65,17/46) -> (62/27,23/10) Glide Reflection Matrix(1541,-570,538,-199) (17/46,10/27) -> (20/7,23/8) Hyperbolic Matrix(419,-156,94,-35) (10/27,3/8) -> (22/5,9/2) Glide Reflection Matrix(417,-158,256,-97) (3/8,8/21) -> (13/8,18/11) Glide Reflection Matrix(555,-212,788,-301) (8/21,5/13) -> (19/27,12/17) Hyperbolic Matrix(693,-268,1130,-437) (5/13,12/31) -> (19/31,8/13) Glide Reflection Matrix(877,-340,276,-107) (12/31,7/18) -> (19/6,16/5) Hyperbolic Matrix(323,-126,828,-323) (7/18,9/23) -> (7/18,9/23) Reflection Matrix(91,-36,230,-91) (9/23,2/5) -> (9/23,2/5) Reflection Matrix(137,-56,22,-9) (2/5,7/17) -> (6/1,7/1) Glide Reflection Matrix(1403,-580,612,-253) (7/17,12/29) -> (16/7,39/17) Hyperbolic Matrix(679,-282,248,-103) (12/29,5/12) -> (30/11,11/4) Glide Reflection Matrix(497,-208,270,-113) (5/12,13/31) -> (11/6,13/7) Glide Reflection Matrix(857,-360,1126,-473) (21/50,8/19) -> (3/4,16/21) Glide Reflection Matrix(315,-134,134,-57) (8/19,3/7) -> (7/3,26/11) Hyperbolic Matrix(223,-98,66,-29) (3/7,4/9) -> (10/3,17/5) Hyperbolic Matrix(89,-40,198,-89) (4/9,5/11) -> (4/9,5/11) Reflection Matrix(131,-60,286,-131) (5/11,6/13) -> (5/11,6/13) Reflection Matrix(613,-284,218,-101) (6/13,7/15) -> (14/5,31/11) Glide Reflection Matrix(393,-184,566,-265) (7/15,1/2) -> (9/13,25/36) Glide Reflection Matrix(207,-112,146,-79) (1/2,6/11) -> (17/12,10/7) Glide Reflection Matrix(373,-204,682,-373) (6/11,17/31) -> (6/11,17/31) Reflection Matrix(1569,-862,992,-545) (17/31,11/20) -> (49/31,19/12) Glide Reflection Matrix(537,-296,742,-409) (11/20,5/9) -> (13/18,21/29) Glide Reflection Matrix(163,-92,62,-35) (5/9,4/7) -> (13/5,8/3) Glide Reflection Matrix(121,-70,102,-59) (4/7,7/12) -> (7/6,6/5) Hyperbolic Matrix(3473,-2032,1998,-1169) (31/53,24/41) -> (33/19,40/23) Glide Reflection Matrix(1533,-898,2180,-1277) (24/41,17/29) -> (26/37,19/27) Glide Reflection Matrix(121,-72,200,-119) (10/17,3/5) -> (3/5,14/23) Parabolic Matrix(955,-582,1252,-763) (14/23,25/41) -> (16/21,13/17) Glide Reflection Matrix(6401,-3904,3776,-2303) (25/41,36/59) -> (100/59,39/23) Hyperbolic Matrix(3417,-2086,1928,-1177) (36/59,11/18) -> (62/35,39/22) Glide Reflection Matrix(1469,-900,932,-571) (11/18,19/31) -> (11/7,41/26) Hyperbolic Matrix(911,-562,1266,-781) (8/13,21/34) -> (23/32,18/25) Hyperbolic Matrix(751,-464,594,-367) (21/34,13/21) -> (5/4,19/15) Glide Reflection Matrix(1423,-882,434,-269) (13/21,18/29) -> (36/11,23/7) Hyperbolic Matrix(353,-222,256,-161) (5/8,12/19) -> (11/8,18/13) Glide Reflection Matrix(391,-248,216,-137) (12/19,7/11) -> (9/5,20/11) Hyperbolic Matrix(77,-50,20,-13) (7/11,2/3) -> (11/3,4/1) Glide Reflection Matrix(77,-52,114,-77) (2/3,13/19) -> (2/3,13/19) Reflection Matrix(417,-286,608,-417) (13/19,11/16) -> (13/19,11/16) Reflection Matrix(1251,-862,1534,-1057) (11/16,20/29) -> (22/27,31/38) Hyperbolic Matrix(1473,-1024,830,-577) (25/36,16/23) -> (39/22,16/9) Glide Reflection Matrix(2943,-2050,1282,-893) (16/23,23/33) -> (39/17,62/27) Hyperbolic Matrix(565,-394,76,-53) (23/33,7/10) -> (7/1,15/2) Glide Reflection Matrix(827,-580,452,-317) (7/10,26/37) -> (42/23,11/6) Hyperbolic Matrix(299,-212,244,-173) (12/17,5/7) -> (11/9,16/13) Hyperbolic Matrix(521,-374,280,-201) (5/7,23/32) -> (13/7,15/8) Glide Reflection Matrix(1115,-804,484,-349) (18/25,13/18) -> (23/10,30/13) Hyperbolic Matrix(295,-216,56,-41) (8/11,11/15) -> (5/1,16/3) Hyperbolic Matrix(737,-542,480,-353) (25/34,14/19) -> (3/2,20/13) Glide Reflection Matrix(183,-136,74,-55) (14/19,3/4) -> (22/9,5/2) Glide Reflection Matrix(689,-528,398,-305) (13/17,10/13) -> (19/11,26/15) Glide Reflection Matrix(181,-140,234,-181) (10/13,7/9) -> (10/13,7/9) Reflection Matrix(71,-56,90,-71) (7/9,4/5) -> (7/9,4/5) Reflection Matrix(283,-228,36,-29) (4/5,17/21) -> (23/3,8/1) Hyperbolic Matrix(3181,-2580,3922,-3181) (30/37,43/53) -> (30/37,43/53) Reflection Matrix(1377,-1118,1696,-1377) (43/53,13/16) -> (43/53,13/16) Reflection Matrix(1587,-1292,1006,-819) (13/16,22/27) -> (41/26,30/19) Glide Reflection Matrix(2149,-1754,1692,-1381) (31/38,9/11) -> (33/26,47/37) Glide Reflection Matrix(317,-260,228,-187) (9/11,5/6) -> (25/18,7/5) Hyperbolic Matrix(139,-118,86,-73) (5/6,1/1) -> (21/13,13/8) Hyperbolic Matrix(211,-236,76,-85) (1/1,8/7) -> (36/13,25/9) Hyperbolic Matrix(1187,-1436,348,-421) (6/5,23/19) -> (17/5,58/17) Hyperbolic Matrix(549,-668,346,-421) (17/14,11/9) -> (19/12,27/17) Glide Reflection Matrix(343,-424,72,-89) (16/13,5/4) -> (19/4,24/5) Hyperbolic Matrix(1269,-1610,748,-949) (19/15,33/26) -> (39/23,17/10) Glide Reflection Matrix(197,-252,154,-197) (14/11,9/7) -> (14/11,9/7) Reflection Matrix(55,-72,42,-55) (9/7,4/3) -> (9/7,4/3) Reflection Matrix(81,-110,14,-19) (4/3,11/8) -> (11/2,6/1) Hyperbolic Matrix(965,-1338,282,-391) (18/13,25/18) -> (41/12,24/7) Hyperbolic Matrix(691,-974,398,-561) (7/5,24/17) -> (26/15,33/19) Hyperbolic Matrix(1193,-1686,438,-619) (24/17,17/12) -> (49/18,30/11) Hyperbolic Matrix(157,-226,66,-95) (10/7,3/2) -> (19/8,12/5) Hyperbolic 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(225,-352,62,-97) (14/9,11/7) -> (18/5,11/3) Glide Reflection Matrix(1861,-2940,1178,-1861) (30/19,49/31) -> (30/19,49/31) Reflection Matrix(245,-394,74,-119) (8/5,21/13) -> (23/7,10/3) 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(11591,-19642,6840,-11591) (61/36,161/95) -> (61/36,161/95) Reflection Matrix(18999,-32200,11210,-18999) (161/95,100/59) -> (161/95,100/59) Reflection Matrix(329,-566,118,-203) (12/7,19/11) -> (25/9,14/5) Hyperbolic Matrix(209,-368,46,-81) (7/4,23/13) -> (9/2,23/5) Glide Reflection Matrix(207,-370,80,-143) (16/9,9/5) -> (18/7,13/5) Glide Reflection Matrix(681,-1240,374,-681) (20/11,31/17) -> (20/11,31/17) Reflection Matrix(1427,-2604,782,-1427) (31/17,42/23) -> (31/17,42/23) Reflection Matrix(21,-44,10,-21) (2/1,11/5) -> (2/1,11/5) Reflection Matrix(199,-440,90,-199) (11/5,20/9) -> (11/5,20/9) Reflection 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(989,-2340,418,-989) (26/11,45/19) -> (26/11,45/19) Reflection Matrix(721,-1710,304,-721) (45/19,19/8) -> (45/19,19/8) Reflection Matrix(263,-634,56,-135) (12/5,29/12) -> (14/3,19/4) Glide Reflection 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(293,-796,60,-163) (19/7,49/18) -> (29/6,5/1) Hyperbolic Matrix(375,-1034,136,-375) (11/4,47/17) -> (11/4,47/17) Reflection Matrix(1223,-3384,442,-1223) (47/17,36/13) -> (47/17,36/13) Reflection Matrix(49,-144,16,-47) (23/8,3/1) -> (3/1,25/8) Parabolic 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(1079,-3528,330,-1079) (49/15,36/11) -> (49/15,36/11) Reflection Matrix(3365,-11484,986,-3365) (58/17,99/29) -> (58/17,99/29) Reflection Matrix(2377,-8118,696,-2377) (99/29,41/12) -> (99/29,41/12) 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(25,-104,6,-25) (4/1,13/3) -> (4/1,13/3) Reflection Matrix(131,-572,30,-131) (13/3,22/5) -> (13/3,22/5) Reflection Matrix(529,-2544,110,-529) (24/5,53/11) -> (24/5,53/11) Reflection Matrix(637,-3074,132,-637) (53/11,29/6) -> (53/11,29/6) 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(-1,0,2,1) -> Matrix(3,2,-4,-3) (-1/1,0/1) -> (-1/1,-1/2) Matrix(407,-40,234,-23) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(403,-44,174,-19) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(401,-48,142,-17) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(339,-46,140,-19) -> Matrix(5,3,2,1) Matrix(223,-34,610,-93) -> Matrix(9,4,-34,-15) Matrix(497,-78,720,-113) -> Matrix(5,2,18,7) Matrix(277,-44,938,-149) -> Matrix(5,2,8,3) Matrix(435,-76,1036,-181) -> Matrix(7,2,-4,-1) Matrix(433,-78,272,-49) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(109,-20,594,-109) -> Matrix(-1,0,8,1) (2/11,5/27) -> (-1/4,0/1) Matrix(161,-30,864,-161) -> Matrix(1,0,2,-1) (5/27,3/16) -> (0/1,1/1) Matrix(755,-142,1292,-243) -> Matrix(1,-2,-2,3) Matrix(1505,-286,1184,-225) -> Matrix(3,2,2,1) Matrix(267,-52,724,-141) -> Matrix(1,1,-4,-3) -1/2 Matrix(211,-46,78,-17) -> Matrix(5,3,-2,-1) Matrix(53,-12,234,-53) -> Matrix(13,7,-24,-13) (2/9,3/13) -> (-7/12,-1/2) Matrix(103,-24,442,-103) -> Matrix(27,13,-56,-27) (3/13,4/17) -> (-1/2,-13/28) Matrix(829,-196,258,-61) -> Matrix(35,16,-24,-11) Matrix(569,-136,774,-185) -> Matrix(9,4,16,7) Matrix(303,-80,178,-47) -> Matrix(5,1,-4,-1) Matrix(403,-108,556,-149) -> Matrix(1,0,0,1) Matrix(603,-166,1028,-283) -> Matrix(3,1,-2,-1) Matrix(853,-236,300,-83) -> Matrix(1,0,4,1) 0/1 Matrix(251,-70,900,-251) -> Matrix(-1,0,14,1) (5/18,7/25) -> (-1/7,0/1) Matrix(99,-28,350,-99) -> Matrix(1,0,0,-1) (7/25,2/7) -> (0/1,1/0) Matrix(199,-58,24,-7) -> Matrix(3,1,-2,-1) Matrix(841,-246,694,-203) -> Matrix(1,0,6,1) 0/1 Matrix(1481,-438,470,-139) -> Matrix(3,-1,-2,1) Matrix(443,-132,198,-59) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(245,-74,394,-119) -> Matrix(1,0,-2,1) 0/1 Matrix(341,-106,74,-23) -> Matrix(5,3,-2,-1) Matrix(377,-134,166,-59) -> Matrix(1,1,-2,-1) (-1/1,0/1).(-1/2,1/0) Matrix(189,-68,164,-59) -> Matrix(3,1,8,3) Matrix(1217,-446,352,-129) -> Matrix(7,1,-6,-1) Matrix(795,-292,422,-155) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(1403,-516,1732,-637) -> Matrix(1,0,0,1) Matrix(4347,-1606,1892,-699) -> Matrix(7,3,-2,-1) Matrix(1541,-570,538,-199) -> Matrix(3,1,-10,-3) (-1/2,-1/4).(-1/3,0/1) Matrix(419,-156,94,-35) -> Matrix(9,2,-4,-1) Matrix(417,-158,256,-97) -> Matrix(1,1,2,1) Matrix(555,-212,788,-301) -> Matrix(7,2,-4,-1) Matrix(693,-268,1130,-437) -> Matrix(7,1,-20,-3) Matrix(877,-340,276,-107) -> Matrix(15,2,-8,-1) Matrix(323,-126,828,-323) -> Matrix(-1,0,18,1) (7/18,9/23) -> (-1/9,0/1) Matrix(91,-36,230,-91) -> Matrix(1,0,0,-1) (9/23,2/5) -> (0/1,1/0) Matrix(137,-56,22,-9) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(1403,-580,612,-253) -> Matrix(1,-1,0,1) 1/0 Matrix(679,-282,248,-103) -> Matrix(3,1,-2,-1) Matrix(497,-208,270,-113) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(857,-360,1126,-473) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(315,-134,134,-57) -> Matrix(3,2,-2,-1) -1/1 Matrix(223,-98,66,-29) -> Matrix(5,3,-2,-1) Matrix(89,-40,198,-89) -> Matrix(9,5,-16,-9) (4/9,5/11) -> (-5/8,-1/2) Matrix(131,-60,286,-131) -> Matrix(15,7,-32,-15) (5/11,6/13) -> (-1/2,-7/16) Matrix(613,-284,218,-101) -> Matrix(5,2,-12,-5) *** -> (-1/2,-1/3) Matrix(393,-184,566,-265) -> Matrix(5,2,8,3) Matrix(207,-112,146,-79) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(373,-204,682,-373) -> Matrix(1,1,0,-1) (6/11,17/31) -> (-1/2,1/0) Matrix(1569,-862,992,-545) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(537,-296,742,-409) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(163,-92,62,-35) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(121,-70,102,-59) -> Matrix(1,1,-2,-1) (-1/1,0/1).(-1/2,1/0) Matrix(3473,-2032,1998,-1169) -> Matrix(5,3,-8,-5) *** -> (-3/4,-1/2) Matrix(1533,-898,2180,-1277) -> Matrix(5,2,-2,-1) Matrix(121,-72,200,-119) -> Matrix(7,4,-16,-9) -1/2 Matrix(955,-582,1252,-763) -> Matrix(7,3,-2,-1) Matrix(6401,-3904,3776,-2303) -> Matrix(59,24,-32,-13) Matrix(3417,-2086,1928,-1177) -> Matrix(13,5,-18,-7) Matrix(1469,-900,932,-571) -> Matrix(3,1,8,3) Matrix(911,-562,1266,-781) -> Matrix(5,2,-18,-7) -1/3 Matrix(751,-464,594,-367) -> Matrix(5,2,8,3) Matrix(1423,-882,434,-269) -> Matrix(11,4,-14,-5) Matrix(353,-222,256,-161) -> Matrix(3,1,10,3) Matrix(391,-248,216,-137) -> Matrix(5,1,4,1) Matrix(77,-50,20,-13) -> Matrix(3,1,-2,-1) Matrix(77,-52,114,-77) -> Matrix(-1,0,8,1) (2/3,13/19) -> (-1/4,0/1) Matrix(417,-286,608,-417) -> Matrix(1,0,18,-1) (13/19,11/16) -> (0/1,1/9) Matrix(1251,-862,1534,-1057) -> Matrix(5,-1,-14,3) Matrix(1473,-1024,830,-577) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2943,-2050,1282,-893) -> Matrix(5,-2,-2,1) Matrix(565,-394,76,-53) -> Matrix(3,-2,-2,1) Matrix(827,-580,452,-317) -> Matrix(1,-4,0,1) 1/0 Matrix(299,-212,244,-173) -> Matrix(1,1,0,1) 1/0 Matrix(521,-374,280,-201) -> Matrix(3,1,-2,-1) Matrix(1115,-804,484,-349) -> Matrix(7,2,-4,-1) Matrix(295,-216,56,-41) -> Matrix(5,-1,-4,1) Matrix(737,-542,480,-353) -> Matrix(3,-2,-2,1) Matrix(183,-136,74,-55) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(689,-528,398,-305) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(181,-140,234,-181) -> Matrix(5,3,-8,-5) (10/13,7/9) -> (-3/4,-1/2) Matrix(71,-56,90,-71) -> Matrix(3,1,-8,-3) (7/9,4/5) -> (-1/2,-1/4) Matrix(283,-228,36,-29) -> Matrix(7,2,-4,-1) Matrix(3181,-2580,3922,-3181) -> Matrix(-1,0,8,1) (30/37,43/53) -> (-1/4,0/1) Matrix(1377,-1118,1696,-1377) -> Matrix(-1,0,6,1) (43/53,13/16) -> (-1/3,0/1) Matrix(1587,-1292,1006,-819) -> Matrix(3,1,4,1) Matrix(2149,-1754,1692,-1381) -> Matrix(13,4,10,3) Matrix(317,-260,228,-187) -> Matrix(5,1,4,1) Matrix(139,-118,86,-73) -> Matrix(3,1,2,1) Matrix(211,-236,76,-85) -> Matrix(3,1,-4,-1) -1/2 Matrix(1187,-1436,348,-421) -> Matrix(17,-2,-8,1) Matrix(549,-668,346,-421) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(343,-424,72,-89) -> Matrix(5,-1,-4,1) Matrix(1269,-1610,748,-949) -> Matrix(3,-5,-2,3) Matrix(197,-252,154,-197) -> Matrix(-1,3,0,1) (14/11,9/7) -> (3/2,1/0) Matrix(55,-72,42,-55) -> Matrix(1,1,0,-1) (9/7,4/3) -> (-1/2,1/0) Matrix(81,-110,14,-19) -> Matrix(1,1,-2,-1) (-1/1,0/1).(-1/2,1/0) Matrix(965,-1338,282,-391) -> Matrix(11,-9,-6,5) Matrix(691,-974,398,-561) -> Matrix(1,2,-2,-3) -1/1 Matrix(1193,-1686,438,-619) -> Matrix(3,5,-2,-3) (-2/1,-1/1).(-3/2,1/0) Matrix(157,-226,66,-95) -> Matrix(1,1,-2,-1) (-1/1,0/1).(-1/2,1/0) Matrix(981,-1514,554,-855) -> Matrix(3,2,-2,-1) -1/1 Matrix(401,-622,176,-273) -> Matrix(5,2,-2,-1) Matrix(225,-352,62,-97) -> Matrix(3,-1,-4,1) Matrix(1861,-2940,1178,-1861) -> Matrix(-1,1,0,1) (30/19,49/31) -> (1/2,1/0) Matrix(245,-394,74,-119) -> Matrix(1,0,-2,1) 0/1 Matrix(121,-200,72,-119) -> Matrix(1,-4,0,1) 1/0 Matrix(1117,-1892,356,-603) -> Matrix(7,16,-4,-9) -2/1 Matrix(11591,-19642,6840,-11591) -> Matrix(45,92,-22,-45) (61/36,161/95) -> (-23/11,-2/1) Matrix(18999,-32200,11210,-18999) -> Matrix(71,140,-36,-71) (161/95,100/59) -> (-2/1,-35/18) Matrix(329,-566,118,-203) -> Matrix(1,2,-2,-3) -1/1 Matrix(209,-368,46,-81) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(207,-370,80,-143) -> Matrix(1,-1,-2,1) Matrix(681,-1240,374,-681) -> Matrix(-1,9,0,1) (20/11,31/17) -> (9/2,1/0) Matrix(1427,-2604,782,-1427) -> Matrix(1,19,0,-1) (31/17,42/23) -> (-19/2,1/0) Matrix(21,-44,10,-21) -> Matrix(1,1,0,-1) (2/1,11/5) -> (-1/2,1/0) Matrix(199,-440,90,-199) -> Matrix(1,11,0,-1) (11/5,20/9) -> (-11/2,1/0) Matrix(1741,-4020,754,-1741) -> Matrix(1,4,0,-1) (30/13,67/29) -> (-2/1,1/0) Matrix(2145,-4958,928,-2145) -> Matrix(11,20,-6,-11) (67/29,37/16) -> (-2/1,-5/3) Matrix(989,-2340,418,-989) -> Matrix(9,10,-8,-9) (26/11,45/19) -> (-5/4,-1/1) Matrix(721,-1710,304,-721) -> Matrix(5,4,-6,-5) (45/19,19/8) -> (-1/1,-2/3) Matrix(263,-634,56,-135) -> Matrix(3,-2,-2,1) Matrix(447,-1090,130,-317) -> Matrix(3,14,-2,-9) Matrix(91,-230,36,-91) -> Matrix(3,4,-2,-3) (5/2,23/9) -> (-2/1,-1/1) Matrix(323,-828,126,-323) -> Matrix(7,6,-8,-7) (23/9,18/7) -> (-1/1,-3/4) Matrix(293,-796,60,-163) -> Matrix(1,1,0,1) 1/0 Matrix(375,-1034,136,-375) -> Matrix(7,8,-6,-7) (11/4,47/17) -> (-4/3,-1/1) Matrix(1223,-3384,442,-1223) -> Matrix(19,18,-20,-19) (47/17,36/13) -> (-1/1,-9/10) Matrix(49,-144,16,-47) -> Matrix(1,-2,0,1) 1/0 Matrix(227,-734,30,-97) -> Matrix(1,2,-2,-3) -1/1 Matrix(391,-1274,120,-391) -> Matrix(11,12,-10,-11) (13/4,49/15) -> (-6/5,-1/1) Matrix(1079,-3528,330,-1079) -> Matrix(19,18,-20,-19) (49/15,36/11) -> (-1/1,-9/10) Matrix(3365,-11484,986,-3365) -> Matrix(49,100,-24,-49) (58/17,99/29) -> (-25/12,-2/1) Matrix(2377,-8118,696,-2377) -> Matrix(43,84,-22,-43) (99/29,41/12) -> (-2/1,-21/11) Matrix(99,-350,28,-99) -> Matrix(7,8,-6,-7) (7/2,25/7) -> (-4/3,-1/1) Matrix(251,-900,70,-251) -> Matrix(15,14,-16,-15) (25/7,18/5) -> (-1/1,-7/8) Matrix(25,-104,6,-25) -> Matrix(1,1,0,-1) (4/1,13/3) -> (-1/2,1/0) Matrix(131,-572,30,-131) -> Matrix(1,7,0,-1) (13/3,22/5) -> (-7/2,1/0) Matrix(529,-2544,110,-529) -> Matrix(13,14,-12,-13) (24/5,53/11) -> (-7/6,-1/1) Matrix(637,-3074,132,-637) -> Matrix(9,8,-10,-9) (53/11,29/6) -> (-1/1,-4/5) Matrix(161,-864,30,-161) -> Matrix(21,22,-20,-21) (16/3,27/5) -> (-11/10,-1/1) Matrix(109,-594,20,-109) -> Matrix(13,12,-14,-13) (27/5,11/2) -> (-1/1,-6/7) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.