INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 128 Genus: 129 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -13/28 -5/11 -4/9 -11/26 -7/17 -2/5 -3/8 -1/3 -2/7 -1/4 -3/13 -4/19 -1/6 -1/7 -2/17 0/1 1/9 2/13 3/17 1/5 1/4 7/23 1/3 4/11 3/7 1/2 11/19 7/11 2/3 5/7 13/17 4/5 7/8 1/1 8/7 13/11 11/9 5/4 17/13 121/89 7/5 3/2 11/7 46/29 37/23 13/8 5/3 19/11 16/9 9/5 13/7 2/1 17/8 41/19 11/5 31/14 25/11 7/3 19/8 17/7 5/2 43/17 28/11 151/59 18/7 13/5 76/29 51/19 35/13 11/4 31/11 89/31 26/9 3/1 19/6 16/5 61/19 23/7 10/3 27/8 17/5 31/9 7/2 47/13 11/3 19/5 4/1 21/5 17/4 81/19 13/3 61/14 22/5 49/11 9/2 41/9 23/5 37/8 14/3 33/7 19/4 24/5 5/1 21/4 16/3 27/5 38/7 11/2 28/5 17/3 23/4 6/1 25/4 19/3 13/2 20/3 7/1 22/3 15/2 53/7 23/3 8/1 17/2 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 0/1 1/28 -8/17 1/25 -7/15 2/51 -13/28 1/25 -6/13 2/49 1/24 -17/37 0/1 -11/24 1/25 2/49 -16/35 3/74 2/49 -5/11 1/24 -19/42 1/24 2/47 -14/31 0/1 1/23 -23/51 2/47 -9/20 1/24 2/47 -13/29 2/47 -4/9 1/23 -15/34 2/47 1/23 -11/25 4/91 2/45 -18/41 2/45 7/157 -7/16 1/22 -17/39 0/1 2/45 -27/62 3/67 -37/85 4/89 -10/23 6/133 1/22 -13/30 1/22 8/175 -3/7 2/43 -14/33 5/106 6/127 -11/26 1/21 -19/45 8/167 6/125 -27/64 6/125 5/104 -35/83 4/83 -8/19 1/21 2/41 -13/31 1/21 -31/74 5/104 4/83 -18/43 3/62 -23/55 2/41 -5/12 2/41 3/61 -22/53 2/41 1/20 -17/41 2/41 -12/29 3/61 4/81 -19/46 1/20 -7/17 1/20 -23/56 1/20 -16/39 6/119 5/99 -9/22 3/59 2/39 -11/27 2/39 -2/5 1/19 -13/33 2/37 -11/28 4/73 1/18 -9/23 0/1 2/37 -25/64 5/92 -16/41 3/55 -7/18 6/109 1/18 -12/31 1/18 10/179 -17/44 1/18 -39/101 6/107 4/71 -22/57 1/18 -5/13 2/35 -23/60 1/18 2/35 -41/107 1/18 -18/47 1/18 2/35 -13/34 1/18 -21/55 8/141 2/35 -8/21 2/35 3/52 -11/29 1/17 -14/37 3/53 2/35 -3/8 1/17 -16/43 1/17 -13/35 0/1 2/33 -10/27 1/17 4/67 -7/19 2/33 -11/30 2/33 3/49 -15/41 0/1 2/31 -19/52 1/16 -4/11 2/33 1/16 -13/36 1/16 6/95 -9/25 2/31 -14/39 1/15 -19/53 0/1 2/29 -5/14 1/16 -11/31 2/31 -6/17 2/31 1/15 -7/20 2/31 1/15 -8/23 1/15 -1/3 0/1 2/29 -7/22 1/14 -6/19 1/14 2/27 -5/16 1/14 2/27 -9/29 2/27 -4/13 1/13 -15/49 0/1 2/29 -11/36 1/14 -7/23 2/27 -10/33 6/79 1/13 -3/10 1/13 2/25 -14/47 1/13 -11/37 0/1 2/27 -19/64 1/13 -8/27 3/38 2/25 -5/17 2/25 -7/24 4/49 1/12 -9/31 0/1 2/25 -11/38 1/12 -2/7 1/12 -9/32 2/23 3/34 -7/25 1/12 -5/18 3/35 2/23 -18/65 2/23 11/126 -13/47 2/23 8/91 -8/29 1/11 -11/40 2/23 1/11 -14/51 2/23 1/11 -17/62 1/11 -3/11 2/23 -13/48 1/11 -23/85 4/45 6/67 -10/37 1/11 -17/63 4/45 6/67 -7/26 10/111 1/11 -4/15 1/11 6/65 -9/34 3/32 -14/53 5/53 -5/19 0/1 2/21 -6/23 1/11 4/43 -7/27 2/21 -1/4 1/10 -5/21 2/19 -4/17 2/19 3/28 -7/30 5/46 6/55 -3/13 1/9 -11/48 7/62 6/53 -8/35 1/9 -5/22 4/35 3/26 -7/31 2/17 -9/40 1/9 2/17 -2/9 3/26 2/17 -9/41 2/17 -7/32 3/25 -12/55 4/33 5/41 -5/23 1/8 -3/14 2/17 1/8 -13/61 4/33 -10/47 5/41 6/49 -7/33 6/49 8/65 -4/19 1/8 -9/43 10/79 8/63 -5/24 6/47 5/39 -1/5 2/15 -4/21 8/57 1/7 -3/16 1/7 6/41 -11/59 4/27 -8/43 3/20 -5/27 0/1 2/13 -2/11 1/7 -5/28 7/46 2/13 -8/45 2/13 11/71 -3/17 2/13 4/25 -7/40 1/6 -4/23 1/6 2/11 -1/6 1/6 -3/19 2/11 -2/13 2/11 1/5 -5/33 2/11 -3/20 0/1 1/6 -4/27 2/11 1/5 -5/34 2/11 1/5 -1/7 1/5 -3/22 2/9 3/13 -2/15 2/9 1/4 -3/23 0/1 -1/8 1/5 2/9 -2/17 1/4 -3/26 1/4 2/7 -1/9 2/7 -1/10 1/4 0/1 0/1 1/1 1/9 -1/1 1/8 -1/2 3/23 -2/7 0/1 2/15 0/1 1/1 3/22 -1/1 1/7 -2/3 2/13 -1/2 3/19 -4/9 -2/5 1/6 -2/5 -1/3 3/17 0/1 8/45 -2/3 -1/2 5/28 -1/2 7/39 -2/5 0/1 2/11 -1/2 -2/5 5/27 -2/5 3/16 -3/7 -2/5 1/5 -1/3 4/19 -1/3 -2/7 3/14 -1/4 0/1 8/37 -1/3 5/23 -2/7 7/32 -1/4 2/9 -1/3 -2/7 5/22 -1/4 8/35 -1/5 0/1 3/13 -2/7 7/30 -1/4 -2/9 11/47 -2/9 0/1 4/17 -1/3 5/21 -2/7 -4/15 1/4 -1/4 5/19 -2/9 9/34 -1/4 0/1 4/15 -2/7 -1/4 3/11 -4/17 -2/9 5/18 -2/9 -7/32 12/43 -3/14 19/68 -3/14 7/25 -2/9 9/32 -2/9 -5/23 2/7 -1/5 7/24 -2/9 -1/5 5/17 -2/9 0/1 13/44 -3/14 21/71 -2/9 8/27 -3/14 11/37 -4/19 14/47 -4/19 -9/43 3/10 -6/29 -1/5 7/23 -1/5 11/36 -1/5 -22/111 4/13 -1/5 -8/41 9/29 -6/31 -4/21 14/45 -9/47 -4/21 5/16 -3/16 1/3 -2/11 6/17 -1/5 -2/11 11/31 -3/17 5/14 -5/29 -6/35 4/11 -1/6 7/19 -8/49 -6/37 17/46 -1/6 10/27 -6/37 -5/31 13/35 -4/25 16/43 -5/31 -4/25 3/8 -1/6 -2/13 8/21 -1/6 -2/13 21/55 -2/13 13/34 -3/19 -2/13 5/13 -1/6 17/44 -1/6 -4/25 29/75 -2/13 12/31 -5/31 -4/25 7/18 -3/19 16/41 -3/19 25/64 -3/19 -2/13 9/23 -2/13 11/28 -5/32 13/33 -20/129 -2/13 2/5 -2/13 -3/20 13/32 -1/7 11/27 -2/13 0/1 9/22 -2/13 -1/7 7/17 -2/13 19/46 -3/20 12/29 -3/20 -10/67 17/41 -2/13 -4/27 22/53 -1/7 5/12 -3/20 -4/27 18/43 -4/27 -1/7 13/31 -6/41 21/50 -5/34 -6/41 29/69 -6/41 -8/55 8/19 -1/7 3/7 -1/7 10/23 -1/7 7/16 -6/43 -5/36 18/41 -1/7 -4/29 11/25 -4/29 4/9 -3/22 -2/15 5/11 -2/15 11/24 -3/22 17/37 -3/22 6/13 -7/52 -2/15 7/15 -2/15 -8/61 1/2 -1/8 9/17 -2/17 0/1 8/15 -3/25 -2/17 15/28 -8/67 -5/42 7/13 -2/17 6/11 -4/35 -1/9 5/9 -2/17 0/1 19/34 -2/17 -13/111 14/25 -5/43 9/16 -3/26 22/39 -7/61 -4/35 13/23 -4/35 4/7 -6/53 -1/9 11/19 -1/9 18/31 -1/9 -26/235 7/12 -1/9 -10/91 10/17 -1/9 33/56 -1/9 -6/55 23/39 -6/55 -4/37 13/22 -1/9 16/27 -9/83 -4/37 3/5 -2/19 14/23 -1/9 -2/19 25/41 -1/9 11/18 -1/9 -2/19 19/31 -1/9 46/75 -4/37 -7/65 73/119 -4/37 27/44 -3/28 -2/19 8/13 -1/9 21/34 -3/28 55/89 -2/19 34/55 -3/28 -2/19 81/131 -2/19 47/76 -3/28 13/21 -8/75 -2/19 5/8 -2/19 -3/29 12/19 -2/19 -1/10 19/30 -2/19 -1/10 7/11 -1/10 23/36 -1/10 0/1 39/61 0/1 16/25 -1/8 -2/17 25/39 -2/19 34/53 -1/9 9/14 -3/28 -2/19 20/31 -3/29 11/17 -2/19 2/3 -1/10 13/19 -2/21 11/16 -1/10 20/29 -3/31 -2/21 9/13 -2/21 0/1 25/36 -1/12 0/1 41/59 0/1 16/23 -1/9 39/56 -1/10 23/33 -2/19 7/10 -1/10 -4/41 12/17 -1/10 -2/21 17/24 -2/21 -1/11 5/7 -2/21 18/25 -1/11 0/1 31/43 -2/21 -4/43 13/18 -2/21 -1/11 34/47 -1/11 21/29 -1/11 50/69 -1/13 0/1 29/40 -1/10 8/11 -2/21 -3/32 11/15 -2/23 0/1 25/34 -1/10 0/1 14/19 -1/11 17/23 0/1 3/4 -2/21 -1/11 13/17 -1/11 23/30 -1/11 -14/155 10/13 -1/11 -6/67 47/61 -4/45 37/48 -1/11 27/35 -6/67 -4/45 44/57 -5/56 -14/157 17/22 -3/34 7/9 -2/23 25/32 -3/34 43/55 -12/137 -2/23 18/23 -2/23 -5/58 11/14 -1/12 26/33 -1/11 0/1 67/85 -2/23 41/52 -1/12 15/19 -2/25 0/1 19/24 -1/8 0/1 4/5 -1/11 17/21 -2/23 0/1 13/16 -1/11 -2/23 9/11 -2/23 14/17 -2/23 -1/12 5/6 -2/23 -1/12 16/19 -1/13 11/13 0/1 28/33 -1/11 0/1 17/20 -1/10 -2/21 6/7 -2/23 -1/12 19/22 -2/23 -3/35 13/15 -2/23 7/8 -1/12 15/17 -2/25 8/9 -1/13 0/1 1/1 -2/25 0/1 10/9 -2/23 -1/12 9/8 -1/12 0/1 8/7 -1/13 23/20 -4/53 -3/40 15/13 -2/27 7/6 -1/13 -2/27 20/17 -2/29 -1/15 13/11 0/1 32/27 -1/11 0/1 19/16 -1/12 6/5 -1/13 -2/27 11/9 -2/27 27/22 -2/27 -1/14 16/13 -2/27 -1/14 37/30 -2/27 -3/41 21/17 -2/27 0/1 5/4 -1/14 29/23 -2/29 24/19 -1/17 0/1 67/53 0/1 43/34 -1/8 0/1 19/15 -2/25 0/1 52/41 -1/13 33/26 -1/14 0/1 14/11 -1/13 51/40 -1/13 -2/27 37/29 -1/13 23/18 -5/67 -2/27 32/25 -3/41 9/7 -2/27 31/24 -1/14 22/17 -3/41 35/27 -4/55 -6/83 13/10 -6/83 -1/14 17/13 -1/14 21/16 -1/14 -10/141 4/3 -1/14 -2/29 19/14 -1/14 53/39 -2/29 87/64 -2/29 -1/15 121/89 -1/15 34/25 -1/15 0/1 49/36 -1/14 15/11 -2/27 0/1 26/19 -1/14 11/8 -3/43 -2/29 51/37 -2/29 40/29 -1/15 69/50 -1/12 0/1 29/21 -1/14 76/55 -3/43 -2/29 47/34 -1/14 18/13 -1/14 -2/29 43/31 -4/57 -2/29 25/18 -1/14 0/1 7/5 -2/29 24/17 -1/14 -2/29 41/29 -1/15 17/12 -2/29 -1/15 44/31 -1/15 71/50 -1/16 0/1 27/19 -2/29 0/1 10/7 -4/59 -1/15 33/23 -2/31 56/39 -1/15 23/16 -1/16 82/57 -1/18 -2/37 59/41 0/1 36/25 -1/13 0/1 49/34 -2/27 -1/14 13/9 -2/29 0/1 16/11 -1/15 3/2 -1/15 20/13 -1/15 37/24 -4/61 -3/46 17/11 -2/31 31/20 -3/46 14/9 -2/31 -3/47 53/34 -1/16 39/25 -2/31 25/16 -2/33 -1/17 61/39 0/1 97/62 -1/12 36/23 -1/15 0/1 47/30 -1/16 0/1 11/7 -1/15 30/19 -1/15 -2/31 49/31 -2/31 19/12 -1/15 -2/31 65/41 -2/31 0/1 46/29 -1/15 27/17 -2/31 8/5 -3/46 -2/31 37/23 -2/31 66/41 -2/31 -25/388 29/18 -2/31 -11/171 21/13 -2/31 -8/125 55/34 -2/31 -3/47 34/21 -3/47 47/29 -2/31 13/8 -1/16 57/35 -2/31 44/27 -2/31 -3/47 31/19 -1/16 49/30 -2/31 -3/47 18/11 -2/31 -1/16 23/14 -2/31 -1/16 74/45 -3/47 -4/63 51/31 -4/63 -6/95 28/17 -1/16 5/3 -2/31 22/13 -1/16 83/49 -4/63 61/36 -6/95 -1/16 39/23 -4/63 -6/95 95/56 -5/79 -6/95 151/89 -6/95 56/33 -6/95 -1/16 17/10 -1/16 46/27 -6/95 -1/16 75/44 -4/63 -9/142 29/17 -4/63 -6/95 12/7 -10/159 -1/16 19/11 -1/16 26/15 -1/16 -22/353 7/4 -1/16 -6/97 30/17 -1/16 -6/97 23/13 -4/65 62/35 -10/163 -3/49 39/22 -4/65 -7/114 55/31 -4/65 -2/33 16/9 -3/49 57/32 -3/49 -2/33 98/55 -3/49 41/23 -2/33 25/14 -5/82 59/33 -2/33 34/19 -13/214 -2/33 77/43 -2/33 43/24 -2/33 -13/215 9/5 -2/33 0/1 38/21 -1/15 0/1 29/16 -1/16 49/27 -2/33 20/11 -1/16 -2/33 11/6 -1/16 -4/65 24/13 -3/49 -2/33 37/20 -5/82 13/7 -2/33 28/15 -5/83 -8/133 15/8 -2/33 -3/50 17/9 -2/33 0/1 2/1 -1/17 17/8 -1/17 15/7 -8/139 -2/35 28/13 -15/262 -2/35 41/19 -2/35 13/6 -2/35 -7/123 37/17 -3/53 61/28 -2/35 -3/53 24/11 -3/53 11/5 -2/35 42/19 -3/53 -4/71 31/14 -1/18 51/23 -2/35 0/1 20/9 -2/35 -1/18 9/4 -2/35 -3/53 34/15 -2/35 -3/53 25/11 -4/71 66/29 -5/89 41/18 -4/71 -1/18 57/25 -4/71 -14/249 73/32 -5/89 16/7 -5/89 -6/107 7/3 -1/18 26/11 -7/127 -6/109 45/19 -6/109 64/27 -1/18 -6/109 83/35 -6/109 -4/73 19/8 -1/18 69/29 -8/145 -6/109 119/50 -13/236 -6/109 50/21 -6/109 -5/91 31/13 -6/109 74/31 -5/91 117/49 -14/255 -4/73 43/18 -1/18 -4/73 55/23 -1/18 12/5 -4/73 -3/55 41/17 -4/73 -2/37 70/29 -5/91 99/41 -4/73 29/12 -10/183 -3/55 46/19 -3/55 63/26 -3/55 -2/37 17/7 -2/37 39/16 -1/18 61/25 -2/37 0/1 22/9 -1/18 -2/37 5/2 -3/55 -2/37 43/17 -2/37 38/15 -2/37 -23/426 33/13 -2/37 -20/371 28/11 -5/93 51/20 -2/37 -3/56 23/9 -2/37 87/34 -8/149 -3/56 151/59 -3/56 64/25 -2/37 -3/56 105/41 -2/37 -8/149 41/16 -3/56 59/23 -2/37 -12/223 18/7 -3/56 49/19 -10/187 80/31 -7/131 31/12 -4/75 -5/94 44/17 -4/75 -1/19 101/39 -4/75 57/22 -9/169 -14/263 13/5 -1/19 34/13 -2/37 -3/56 55/21 -2/37 131/50 -3/56 -4/75 76/29 -1/19 21/8 -2/37 -1/19 50/19 -1/19 29/11 -2/37 8/3 -2/37 -1/19 51/19 -3/56 43/16 -4/75 -5/94 78/29 -2/37 -3/56 35/13 -4/75 62/23 -5/94 89/33 -4/75 -6/113 27/10 -5/94 -6/113 46/17 -1/19 65/24 -6/113 -1/19 19/7 -6/113 -8/151 11/4 -1/19 25/9 -10/191 -8/153 14/5 -6/115 -5/96 59/21 -4/77 45/16 -4/77 -3/58 31/11 -3/58 17/6 -2/39 -1/20 20/7 -1/19 43/15 -4/77 -2/39 66/23 -3/58 -2/39 89/31 -2/39 23/8 -1/19 -2/39 26/9 -1/19 3/1 -2/39 25/8 -1/20 22/7 -2/39 -1/20 41/13 -1/20 19/6 -1/20 16/5 -3/59 61/19 -4/79 45/14 -4/79 -9/178 29/9 -4/79 -6/119 13/4 -8/159 -1/20 23/7 -1/20 33/10 -1/20 -20/401 10/3 -1/20 -6/121 57/17 -6/121 -4/81 47/14 -9/182 -4/81 37/11 -4/81 64/19 -10/203 -3/61 27/8 -3/61 71/21 -2/41 186/55 -4/81 -3/61 301/89 -3/61 115/34 -3/61 -2/41 44/13 -3/61 61/18 -11/225 -2/41 139/41 -2/41 78/23 -2/41 -11/226 17/5 -2/41 0/1 75/22 -2/39 -1/20 58/17 -1/20 41/12 -3/61 -2/41 24/7 -1/20 -2/41 31/9 -2/41 7/2 -1/20 39/11 -3/61 32/9 -5/102 -2/41 57/16 -3/61 -2/41 25/7 -2/41 118/33 -1/20 -2/41 211/59 -1/20 93/26 -1/20 -4/81 68/19 -3/61 43/12 -3/61 18/5 -7/143 -2/41 47/13 -2/41 76/21 -2/41 -29/595 29/8 -2/41 -11/226 11/3 -2/41 -4/83 59/16 -3/62 48/13 -7/145 -4/83 85/23 -4/83 37/10 -2/41 -1/21 63/17 -4/83 26/7 -1/21 15/4 -1/21 -2/43 79/21 0/1 64/17 -1/19 49/13 -2/41 0/1 34/9 -1/21 0/1 19/5 -2/41 23/6 -2/41 -1/21 4/1 -1/21 25/6 -1/21 -2/43 46/11 -1/21 21/5 -4/85 -2/43 17/4 -1/22 81/19 0/1 64/15 -2/39 -1/20 47/11 -2/41 0/1 77/18 -1/21 30/7 -2/41 -1/21 13/3 -2/43 61/14 -1/22 48/11 -1/21 0/1 35/8 -1/20 0/1 22/5 -1/21 31/7 -4/85 -2/43 40/9 -5/107 -2/43 49/11 -2/43 58/13 -2/43 -7/151 9/2 -2/43 -1/22 50/11 -1/23 0/1 41/9 -1/21 32/7 -1/21 55/12 -2/43 -7/151 23/5 -2/43 60/13 -2/43 -1/22 37/8 -1/22 51/11 -2/43 0/1 14/3 -1/21 0/1 33/7 -2/43 52/11 -3/65 19/4 -2/43 -1/22 24/5 -2/43 -1/22 5/1 -1/22 26/5 -1/22 -2/45 47/9 -2/45 21/4 -1/22 16/3 -2/45 -3/68 43/8 -1/22 27/5 -2/45 38/7 -1/23 11/2 -2/45 -1/23 50/9 -1/21 0/1 39/7 -2/45 0/1 28/5 -1/23 45/8 -1/23 -2/47 17/3 0/1 40/7 -2/43 -1/22 23/4 -1/22 6/1 -1/22 -2/45 25/4 -2/45 -1/23 19/3 -2/45 -4/91 13/2 -1/23 33/5 -6/139 -4/93 53/8 -4/93 -3/70 20/3 -1/23 -2/47 7/1 -2/47 22/3 -1/24 15/2 -1/26 0/1 53/7 0/1 38/5 -1/17 0/1 23/3 -2/43 0/1 8/1 -1/23 17/2 -2/47 -3/71 9/1 -1/24 10/1 -2/49 -1/25 11/1 0/1 1/0 -1/26 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(1253,592,908,429) (-1/2,-8/17) -> (40/29,69/50) Hyperbolic Matrix(2033,952,788,369) (-8/17,-7/15) -> (49/19,80/31) Hyperbolic Matrix(339,158,-1238,-577) (-7/15,-13/28) -> (-17/62,-3/11) Hyperbolic Matrix(225,104,556,257) (-13/28,-6/13) -> (2/5,13/32) Hyperbolic Matrix(335,154,1886,867) (-6/13,-17/37) -> (3/17,8/45) Hyperbolic Matrix(2881,1322,778,357) (-17/37,-11/24) -> (37/10,63/17) Hyperbolic Matrix(2763,1264,776,355) (-11/24,-16/35) -> (32/9,57/16) Hyperbolic Matrix(661,302,1438,657) (-16/35,-5/11) -> (17/37,6/13) Hyperbolic Matrix(1975,894,-5154,-2333) (-5/11,-19/42) -> (-23/60,-41/107) Hyperbolic Matrix(1641,742,878,397) (-19/42,-14/31) -> (28/15,15/8) Hyperbolic Matrix(873,394,986,445) (-14/31,-23/51) -> (15/17,8/9) Hyperbolic Matrix(3061,1380,1200,541) (-23/51,-9/20) -> (51/20,23/9) Hyperbolic Matrix(869,390,2070,929) (-9/20,-13/29) -> (13/31,21/50) Hyperbolic Matrix(1409,630,870,389) (-13/29,-4/9) -> (34/21,47/29) Hyperbolic Matrix(1825,806,754,333) (-4/9,-15/34) -> (29/12,46/19) Hyperbolic Matrix(753,332,-2792,-1231) (-15/34,-11/25) -> (-17/63,-7/26) Hyperbolic Matrix(323,142,-1822,-801) (-11/25,-18/41) -> (-8/45,-3/17) Hyperbolic Matrix(1495,656,964,423) (-18/41,-7/16) -> (31/20,14/9) Hyperbolic Matrix(531,232,428,187) (-7/16,-17/39) -> (21/17,5/4) Hyperbolic Matrix(1593,694,746,325) (-17/39,-27/62) -> (17/8,15/7) Hyperbolic Matrix(6059,2638,7862,3423) (-27/62,-37/85) -> (47/61,37/48) Hyperbolic Matrix(7435,3236,2764,1203) (-37/85,-10/23) -> (78/29,35/13) Hyperbolic Matrix(1059,460,320,139) (-10/23,-13/30) -> (33/10,10/3) Hyperbolic Matrix(739,320,1060,459) (-13/30,-3/7) -> (23/33,7/10) Hyperbolic Matrix(937,398,1462,621) (-3/7,-14/33) -> (16/25,25/39) Hyperbolic Matrix(835,354,-2814,-1193) (-14/33,-11/26) -> (-19/64,-8/27) Hyperbolic Matrix(1141,482,-3842,-1623) (-11/26,-19/45) -> (-11/37,-19/64) Hyperbolic Matrix(1763,744,936,395) (-19/45,-27/64) -> (15/8,17/9) Hyperbolic Matrix(10375,4376,6124,2583) (-27/64,-35/83) -> (83/49,61/36) Hyperbolic Matrix(1039,438,102,43) (-35/83,-8/19) -> (10/1,11/1) Hyperbolic Matrix(1139,478,722,303) (-8/19,-13/31) -> (11/7,30/19) Hyperbolic Matrix(2271,952,1448,607) (-13/31,-31/74) -> (47/30,11/7) Hyperbolic Matrix(2273,952,308,129) (-31/74,-18/43) -> (22/3,15/2) Hyperbolic Matrix(1343,562,4538,1899) (-18/43,-23/55) -> (21/71,8/27) Hyperbolic Matrix(3301,1380,720,301) (-23/55,-5/12) -> (55/12,23/5) Hyperbolic Matrix(2153,894,1746,725) (-5/12,-22/53) -> (16/13,37/30) Hyperbolic Matrix(4309,1788,6972,2893) (-22/53,-17/41) -> (55/89,34/55) Hyperbolic Matrix(1945,806,514,213) (-17/41,-12/29) -> (34/9,19/5) Hyperbolic Matrix(513,212,2248,929) (-12/29,-19/46) -> (5/22,8/35) Hyperbolic Matrix(713,294,-1734,-715) (-19/46,-7/17) -> (-7/17,-23/56) Parabolic Matrix(2851,1170,1830,751) (-23/56,-16/39) -> (14/9,53/34) Hyperbolic Matrix(713,292,608,249) (-16/39,-9/22) -> (7/6,20/17) Hyperbolic Matrix(813,332,2128,869) (-9/22,-11/27) -> (21/55,13/34) Hyperbolic Matrix(909,370,710,289) (-11/27,-2/5) -> (32/25,9/7) Hyperbolic Matrix(1881,742,398,157) (-2/5,-13/33) -> (33/7,52/11) Hyperbolic Matrix(691,272,1288,507) (-13/33,-11/28) -> (15/28,7/13) Hyperbolic Matrix(1779,698,1282,503) (-11/28,-9/23) -> (43/31,25/18) Hyperbolic Matrix(1085,424,2756,1077) (-9/23,-25/64) -> (11/28,13/33) Hyperbolic Matrix(4527,1768,3152,1231) (-25/64,-16/41) -> (56/39,23/16) Hyperbolic Matrix(493,192,588,229) (-16/41,-7/18) -> (5/6,16/19) Hyperbolic Matrix(685,266,394,153) (-7/18,-12/31) -> (26/15,7/4) Hyperbolic Matrix(393,152,-2252,-871) (-12/31,-17/44) -> (-7/40,-4/23) Hyperbolic Matrix(5571,2152,2348,907) (-17/44,-39/101) -> (83/35,19/8) Hyperbolic Matrix(11335,4376,4204,1623) (-39/101,-22/57) -> (62/23,89/33) Hyperbolic Matrix(685,264,96,37) (-22/57,-5/13) -> (7/1,22/3) Hyperbolic Matrix(99,38,-878,-337) (-5/13,-23/60) -> (-3/26,-1/9) Hyperbolic Matrix(4281,1640,1360,521) (-41/107,-18/47) -> (22/7,41/13) Hyperbolic Matrix(2821,1080,2040,781) (-18/47,-13/34) -> (47/34,18/13) Hyperbolic Matrix(1649,630,390,149) (-13/34,-21/55) -> (21/5,17/4) Hyperbolic Matrix(1263,482,-4562,-1741) (-21/55,-8/21) -> (-18/65,-13/47) Hyperbolic Matrix(1259,478,482,183) (-8/21,-11/29) -> (13/5,34/13) Hyperbolic Matrix(581,220,1640,621) (-11/29,-14/37) -> (6/17,11/31) Hyperbolic Matrix(1735,656,484,183) (-14/37,-3/8) -> (43/12,18/5) Hyperbolic Matrix(2393,892,668,249) (-3/8,-16/43) -> (68/19,43/12) Hyperbolic Matrix(1527,568,3632,1351) (-16/43,-13/35) -> (29/69,8/19) Hyperbolic Matrix(383,142,1238,459) (-13/35,-10/27) -> (4/13,9/29) Hyperbolic Matrix(477,176,664,245) (-10/27,-7/19) -> (5/7,18/25) Hyperbolic Matrix(473,174,666,245) (-7/19,-11/30) -> (17/24,5/7) Hyperbolic Matrix(475,174,-2274,-833) (-11/30,-15/41) -> (-9/43,-5/24) Hyperbolic Matrix(2461,900,3120,1141) (-15/41,-19/52) -> (41/52,15/19) Hyperbolic Matrix(471,172,2648,967) (-19/52,-4/11) -> (8/45,5/28) Hyperbolic Matrix(375,136,284,103) (-4/11,-13/36) -> (21/16,4/3) Hyperbolic Matrix(283,102,1218,439) (-13/36,-9/25) -> (3/13,7/30) Hyperbolic Matrix(1029,370,470,169) (-9/25,-14/39) -> (24/11,11/5) Hyperbolic Matrix(2993,1074,1686,605) (-14/39,-19/53) -> (55/31,16/9) Hyperbolic Matrix(95,34,746,267) (-19/53,-5/14) -> (1/8,3/23) Hyperbolic Matrix(651,232,188,67) (-5/14,-11/31) -> (31/9,7/2) Hyperbolic Matrix(1763,624,1116,395) (-11/31,-6/17) -> (30/19,49/31) Hyperbolic Matrix(833,292,368,129) (-6/17,-7/20) -> (9/4,34/15) Hyperbolic Matrix(1013,354,186,65) (-7/20,-8/23) -> (38/7,11/2) Hyperbolic Matrix(457,158,1102,381) (-8/23,-1/3) -> (17/41,22/53) Hyperbolic Matrix(1233,394,266,85) (-1/3,-7/22) -> (37/8,51/11) Hyperbolic Matrix(2023,642,438,139) (-7/22,-6/19) -> (60/13,37/8) Hyperbolic Matrix(613,192,348,109) (-6/19,-5/16) -> (7/4,30/17) Hyperbolic Matrix(959,298,782,243) (-5/16,-9/29) -> (11/9,27/22) Hyperbolic Matrix(1827,566,694,215) (-9/29,-4/13) -> (50/19,29/11) Hyperbolic Matrix(691,212,88,27) (-4/13,-15/49) -> (23/3,8/1) Hyperbolic Matrix(2941,900,2160,661) (-15/49,-11/36) -> (49/36,15/11) Hyperbolic Matrix(433,132,948,289) (-11/36,-7/23) -> (5/11,11/24) Hyperbolic Matrix(1119,340,260,79) (-7/23,-10/33) -> (30/7,13/3) Hyperbolic Matrix(859,260,1120,339) (-10/33,-3/10) -> (23/30,10/13) Hyperbolic Matrix(2395,714,426,127) (-3/10,-14/47) -> (28/5,45/8) Hyperbolic Matrix(2817,838,2222,661) (-14/47,-11/37) -> (19/15,52/41) Hyperbolic Matrix(597,176,424,125) (-8/27,-5/17) -> (7/5,24/17) Hyperbolic Matrix(593,174,426,125) (-5/17,-7/24) -> (25/18,7/5) Hyperbolic Matrix(1099,320,340,99) (-7/24,-9/31) -> (29/9,13/4) Hyperbolic Matrix(3211,930,1350,391) (-9/31,-11/38) -> (19/8,69/29) Hyperbolic Matrix(589,170,2110,609) (-11/38,-2/7) -> (12/43,19/68) Hyperbolic Matrix(419,118,1502,423) (-2/7,-9/32) -> (5/18,12/43) Hyperbolic Matrix(1417,398,502,141) (-9/32,-7/25) -> (31/11,17/6) Hyperbolic Matrix(415,116,1084,303) (-7/25,-5/18) -> (13/34,5/13) Hyperbolic Matrix(3073,852,1908,529) (-5/18,-18/65) -> (66/41,29/18) Hyperbolic Matrix(333,92,1408,389) (-13/47,-8/29) -> (4/17,5/21) Hyperbolic Matrix(1737,478,2402,661) (-8/29,-11/40) -> (13/18,34/47) Hyperbolic Matrix(415,114,-2814,-773) (-11/40,-14/51) -> (-4/27,-5/34) Hyperbolic Matrix(4715,1294,2066,567) (-14/51,-17/62) -> (73/32,16/7) Hyperbolic Matrix(81,22,578,157) (-3/11,-13/48) -> (3/22,1/7) Hyperbolic Matrix(8801,2382,2058,557) (-13/48,-23/85) -> (47/11,77/18) Hyperbolic Matrix(3291,890,1150,311) (-23/85,-10/37) -> (20/7,43/15) Hyperbolic Matrix(3207,866,574,155) (-10/37,-17/63) -> (39/7,28/5) Hyperbolic Matrix(573,154,986,265) (-7/26,-4/15) -> (18/31,7/12) Hyperbolic Matrix(489,130,410,109) (-4/15,-9/34) -> (19/16,6/5) Hyperbolic Matrix(2611,690,3750,991) (-9/34,-14/53) -> (16/23,39/56) Hyperbolic Matrix(2281,602,898,237) (-14/53,-5/19) -> (33/13,28/11) Hyperbolic Matrix(1055,276,1464,383) (-5/19,-6/23) -> (18/25,31/43) Hyperbolic Matrix(1055,274,566,147) (-6/23,-7/27) -> (13/7,28/15) Hyperbolic Matrix(1051,272,568,147) (-7/27,-1/4) -> (37/20,13/7) Hyperbolic Matrix(553,132,708,169) (-1/4,-5/21) -> (7/9,25/32) Hyperbolic Matrix(1649,390,630,149) (-5/21,-4/17) -> (34/13,55/21) Hyperbolic Matrix(469,110,550,129) (-4/17,-7/30) -> (17/20,6/7) Hyperbolic Matrix(233,54,-1014,-235) (-7/30,-3/13) -> (-3/13,-11/48) Parabolic Matrix(1947,446,3034,695) (-11/48,-8/35) -> (34/53,9/14) Hyperbolic Matrix(1709,390,390,89) (-8/35,-5/22) -> (35/8,22/5) Hyperbolic Matrix(389,88,1472,333) (-5/22,-7/31) -> (5/19,9/34) Hyperbolic Matrix(2633,594,1086,245) (-7/31,-9/40) -> (63/26,17/7) Hyperbolic Matrix(465,104,76,17) (-9/40,-2/9) -> (6/1,25/4) Hyperbolic Matrix(1925,424,1076,237) (-2/9,-9/41) -> (59/33,34/19) Hyperbolic Matrix(3379,740,1000,219) (-9/41,-7/32) -> (27/8,71/21) Hyperbolic Matrix(229,50,1690,369) (-7/32,-12/55) -> (2/15,3/22) Hyperbolic Matrix(3301,720,1380,301) (-12/55,-5/23) -> (55/23,12/5) Hyperbolic Matrix(535,116,844,183) (-5/23,-3/14) -> (19/30,7/11) Hyperbolic Matrix(2669,570,4350,929) (-3/14,-13/61) -> (73/119,27/44) Hyperbolic Matrix(2819,600,3660,779) (-13/61,-10/47) -> (10/13,47/61) Hyperbolic Matrix(687,146,1294,275) (-10/47,-7/33) -> (9/17,8/15) Hyperbolic Matrix(303,64,-1444,-305) (-7/33,-4/19) -> (-4/19,-9/43) Parabolic Matrix(1061,220,680,141) (-5/24,-1/5) -> (39/25,25/16) Hyperbolic Matrix(743,142,518,99) (-1/5,-4/21) -> (10/7,33/23) Hyperbolic Matrix(295,56,964,183) (-4/21,-3/16) -> (11/36,4/13) Hyperbolic Matrix(3543,662,958,179) (-3/16,-11/59) -> (85/23,37/10) Hyperbolic Matrix(4867,906,2874,535) (-11/59,-8/43) -> (22/13,83/49) Hyperbolic Matrix(3023,562,1178,219) (-8/43,-5/27) -> (59/23,18/7) Hyperbolic Matrix(295,54,366,67) (-5/27,-2/11) -> (4/5,17/21) Hyperbolic Matrix(659,118,1022,183) (-2/11,-5/28) -> (9/14,20/31) Hyperbolic Matrix(3433,612,948,169) (-5/28,-8/45) -> (76/21,29/8) Hyperbolic Matrix(365,64,2036,357) (-3/17,-7/40) -> (5/28,7/39) Hyperbolic Matrix(509,88,1232,213) (-4/23,-1/6) -> (19/46,12/29) Hyperbolic Matrix(643,102,498,79) (-1/6,-3/19) -> (9/7,31/24) Hyperbolic Matrix(1353,212,568,89) (-3/19,-2/13) -> (50/21,31/13) Hyperbolic Matrix(2193,334,1346,205) (-2/13,-5/33) -> (57/35,44/27) Hyperbolic Matrix(1059,160,920,139) (-5/33,-3/20) -> (23/20,15/13) Hyperbolic Matrix(565,84,1056,157) (-3/20,-4/27) -> (8/15,15/28) Hyperbolic Matrix(1685,246,774,113) (-5/34,-1/7) -> (37/17,61/28) Hyperbolic Matrix(905,124,416,57) (-1/7,-3/22) -> (13/6,37/17) Hyperbolic Matrix(417,56,484,65) (-3/22,-2/15) -> (6/7,19/22) Hyperbolic Matrix(1175,154,206,27) (-2/15,-3/23) -> (17/3,40/7) Hyperbolic Matrix(1171,152,208,27) (-3/23,-1/8) -> (45/8,17/3) Hyperbolic Matrix(1161,140,340,41) (-1/8,-2/17) -> (58/17,41/12) Hyperbolic Matrix(2783,324,816,95) (-2/17,-3/26) -> (75/22,58/17) Hyperbolic Matrix(335,34,266,27) (-1/9,-1/10) -> (5/4,29/23) Hyperbolic Matrix(529,50,730,69) (-1/10,0/1) -> (50/69,29/40) Hyperbolic Matrix(433,-46,706,-75) (0/1,1/9) -> (19/31,46/75) Hyperbolic Matrix(375,-46,106,-13) (1/9,1/8) -> (7/2,39/11) Hyperbolic Matrix(1219,-160,160,-21) (3/23,2/15) -> (38/5,23/3) Hyperbolic Matrix(261,-38,158,-23) (1/7,2/13) -> (28/17,5/3) Hyperbolic Matrix(1195,-186,726,-113) (2/13,3/19) -> (51/31,28/17) Hyperbolic Matrix(829,-132,672,-107) (3/19,1/6) -> (37/30,21/17) Hyperbolic Matrix(153,-26,206,-35) (1/6,3/17) -> (17/23,3/4) Hyperbolic Matrix(1017,-184,304,-55) (7/39,2/11) -> (10/3,57/17) Hyperbolic Matrix(1873,-346,406,-75) (2/11,5/27) -> (23/5,60/13) Hyperbolic Matrix(1113,-208,808,-151) (5/27,3/16) -> (11/8,51/37) Hyperbolic Matrix(707,-134,554,-105) (3/16,1/5) -> (37/29,23/18) Hyperbolic Matrix(545,-114,894,-187) (1/5,4/19) -> (14/23,25/41) Hyperbolic Matrix(545,-116,296,-63) (4/19,3/14) -> (11/6,24/13) Hyperbolic Matrix(493,-106,1186,-255) (3/14,8/37) -> (22/53,5/12) Hyperbolic Matrix(1873,-406,346,-75) (8/37,5/23) -> (27/5,38/7) Hyperbolic Matrix(2463,-538,1378,-301) (5/23,7/32) -> (25/14,59/33) Hyperbolic Matrix(2855,-626,2066,-453) (7/32,2/9) -> (76/55,47/34) Hyperbolic Matrix(539,-122,782,-177) (2/9,5/22) -> (11/16,20/29) Hyperbolic Matrix(1171,-268,3028,-693) (8/35,3/13) -> (29/75,12/31) Hyperbolic Matrix(3939,-920,1460,-341) (7/30,11/47) -> (89/33,27/10) Hyperbolic Matrix(3841,-900,1020,-239) (11/47,4/17) -> (64/17,49/13) Hyperbolic Matrix(1063,-256,436,-105) (5/21,1/4) -> (39/16,61/25) Hyperbolic Matrix(809,-212,332,-87) (1/4,5/19) -> (17/7,39/16) Hyperbolic Matrix(475,-126,426,-113) (9/34,4/15) -> (10/9,9/8) Hyperbolic Matrix(567,-152,332,-89) (4/15,3/11) -> (29/17,12/7) Hyperbolic Matrix(517,-142,142,-39) (3/11,5/18) -> (29/8,11/3) Hyperbolic Matrix(5581,-1560,7080,-1979) (19/68,7/25) -> (67/85,41/52) Hyperbolic Matrix(891,-250,1030,-289) (7/25,9/32) -> (19/22,13/15) Hyperbolic Matrix(375,-106,46,-13) (9/32,2/7) -> (8/1,17/2) Hyperbolic Matrix(1347,-392,512,-149) (2/7,7/24) -> (21/8,50/19) Hyperbolic Matrix(417,-122,1022,-299) (7/24,5/17) -> (11/27,9/22) Hyperbolic Matrix(2317,-684,2964,-875) (5/17,13/44) -> (25/32,43/55) Hyperbolic Matrix(6901,-2040,11160,-3299) (13/44,21/71) -> (81/131,47/76) Hyperbolic Matrix(3239,-962,1202,-357) (8/27,11/37) -> (35/13,62/23) Hyperbolic Matrix(5133,-1528,8368,-2491) (11/37,14/47) -> (46/75,73/119) Hyperbolic Matrix(1017,-304,184,-55) (14/47,3/10) -> (11/2,50/9) Hyperbolic Matrix(323,-98,1058,-321) (3/10,7/23) -> (7/23,11/36) Parabolic Matrix(4441,-1380,2700,-839) (9/29,14/45) -> (74/45,51/31) Hyperbolic Matrix(4941,-1538,3158,-983) (14/45,5/16) -> (97/62,36/23) Hyperbolic Matrix(731,-230,410,-129) (5/16,1/3) -> (41/23,25/14) Hyperbolic Matrix(843,-296,356,-125) (1/3,6/17) -> (26/11,45/19) Hyperbolic Matrix(1949,-692,752,-267) (11/31,5/14) -> (57/22,13/5) Hyperbolic Matrix(485,-174,354,-127) (5/14,4/11) -> (26/19,11/8) Hyperbolic Matrix(659,-242,482,-177) (4/11,7/19) -> (15/11,26/19) Hyperbolic Matrix(1491,-550,2410,-889) (7/19,17/46) -> (47/76,13/21) Hyperbolic Matrix(2103,-778,1138,-421) (17/46,10/27) -> (24/13,37/20) Hyperbolic Matrix(3239,-1202,962,-357) (10/27,13/35) -> (37/11,64/19) Hyperbolic Matrix(5335,-1984,1444,-537) (13/35,16/43) -> (48/13,85/23) Hyperbolic Matrix(787,-294,174,-65) (16/43,3/8) -> (9/2,50/11) Hyperbolic Matrix(217,-82,262,-99) (3/8,8/21) -> (14/17,5/6) Hyperbolic Matrix(2129,-812,1172,-447) (8/21,21/55) -> (49/27,20/11) Hyperbolic Matrix(1949,-752,692,-267) (5/13,17/44) -> (45/16,31/11) Hyperbolic Matrix(12245,-4734,4674,-1807) (17/44,29/75) -> (55/21,131/50) Hyperbolic Matrix(691,-268,1168,-453) (12/31,7/18) -> (13/22,16/27) Hyperbolic Matrix(733,-286,346,-135) (7/18,16/41) -> (2/1,17/8) Hyperbolic Matrix(3969,-1550,950,-371) (16/41,25/64) -> (25/6,46/11) Hyperbolic Matrix(5393,-2108,3968,-1551) (25/64,9/23) -> (53/39,87/64) Hyperbolic Matrix(1895,-744,1164,-457) (9/23,11/28) -> (13/8,57/35) Hyperbolic Matrix(1419,-560,560,-221) (13/33,2/5) -> (38/15,33/13) Hyperbolic Matrix(3795,-1544,1664,-677) (13/32,11/27) -> (57/25,73/32) Hyperbolic Matrix(809,-332,212,-87) (9/22,7/17) -> (19/5,23/6) Hyperbolic Matrix(2887,-1192,4672,-1929) (7/17,19/46) -> (21/34,55/89) Hyperbolic Matrix(2587,-1072,3352,-1389) (12/29,17/41) -> (27/35,44/57) Hyperbolic Matrix(2453,-1026,1566,-655) (5/12,18/43) -> (36/23,47/30) Hyperbolic Matrix(1775,-744,804,-337) (18/43,13/31) -> (11/5,42/19) Hyperbolic Matrix(11661,-4900,4900,-2059) (21/50,29/69) -> (69/29,119/50) Hyperbolic Matrix(127,-54,294,-125) (8/19,3/7) -> (3/7,10/23) Parabolic Matrix(711,-310,250,-109) (10/23,7/16) -> (17/6,20/7) Hyperbolic Matrix(2585,-1134,1794,-787) (7/16,18/41) -> (36/25,49/34) Hyperbolic Matrix(1333,-586,1126,-495) (18/41,11/25) -> (13/11,32/27) Hyperbolic Matrix(957,-422,542,-239) (11/25,4/9) -> (30/17,23/13) Hyperbolic Matrix(331,-148,208,-93) (4/9,5/11) -> (27/17,8/5) Hyperbolic Matrix(1687,-774,534,-245) (11/24,17/37) -> (41/13,19/6) Hyperbolic Matrix(615,-286,286,-133) (6/13,7/15) -> (15/7,28/13) Hyperbolic Matrix(733,-346,286,-135) (7/15,1/2) -> (41/16,59/23) Hyperbolic Matrix(907,-474,354,-185) (1/2,9/17) -> (105/41,41/16) Hyperbolic Matrix(545,-296,116,-63) (7/13,6/11) -> (14/3,33/7) Hyperbolic Matrix(387,-212,272,-149) (6/11,5/9) -> (27/19,10/7) Hyperbolic Matrix(693,-386,386,-215) (5/9,19/34) -> (43/24,9/5) Hyperbolic Matrix(2463,-1378,538,-301) (19/34,14/25) -> (32/7,55/12) Hyperbolic Matrix(731,-410,230,-129) (14/25,9/16) -> (19/6,16/5) Hyperbolic Matrix(2455,-1384,1804,-1017) (9/16,22/39) -> (34/25,49/36) Hyperbolic Matrix(1073,-606,1266,-715) (22/39,13/23) -> (11/13,28/33) Hyperbolic Matrix(957,-542,422,-239) (13/23,4/7) -> (34/15,25/11) Hyperbolic Matrix(419,-242,722,-417) (4/7,11/19) -> (11/19,18/31) Parabolic Matrix(567,-332,152,-89) (7/12,10/17) -> (26/7,15/4) Hyperbolic Matrix(6457,-3804,3624,-2135) (10/17,33/56) -> (57/32,98/55) Hyperbolic Matrix(5889,-3472,3472,-2047) (33/56,23/39) -> (39/23,95/56) Hyperbolic Matrix(2037,-1202,2642,-1559) (23/39,13/22) -> (37/48,27/35) Hyperbolic Matrix(903,-536,716,-425) (16/27,3/5) -> (29/23,24/19) Hyperbolic Matrix(261,-158,38,-23) (3/5,14/23) -> (20/3,7/1) Hyperbolic Matrix(2757,-1682,2162,-1319) (25/41,11/18) -> (51/40,37/29) Hyperbolic Matrix(1265,-774,894,-547) (11/18,19/31) -> (41/29,17/12) Hyperbolic Matrix(1895,-1164,744,-457) (27/44,8/13) -> (28/11,51/20) Hyperbolic Matrix(1151,-710,890,-549) (8/13,21/34) -> (31/24,22/17) Hyperbolic Matrix(16833,-10408,4708,-2911) (34/55,81/131) -> (25/7,118/33) Hyperbolic Matrix(777,-482,482,-299) (13/21,5/8) -> (29/18,21/13) Hyperbolic Matrix(331,-208,148,-93) (5/8,12/19) -> (20/9,9/4) Hyperbolic Matrix(993,-628,808,-511) (12/19,19/30) -> (27/22,16/13) Hyperbolic Matrix(2453,-1566,1026,-655) (7/11,23/36) -> (43/18,55/23) Hyperbolic Matrix(4941,-3158,1538,-983) (23/36,39/61) -> (61/19,45/14) Hyperbolic Matrix(6477,-4142,4502,-2879) (39/61,16/25) -> (82/57,59/41) Hyperbolic Matrix(5995,-3844,3364,-2157) (25/39,34/53) -> (98/55,41/23) Hyperbolic Matrix(2261,-1460,1640,-1059) (20/31,11/17) -> (51/37,40/29) Hyperbolic Matrix(73,-48,108,-71) (11/17,2/3) -> (2/3,13/19) Parabolic Matrix(1209,-830,890,-611) (13/19,11/16) -> (19/14,53/39) Hyperbolic Matrix(1419,-980,320,-221) (20/29,9/13) -> (31/7,40/9) Hyperbolic Matrix(2585,-1794,1134,-787) (9/13,25/36) -> (41/18,57/25) Hyperbolic Matrix(4779,-3320,1700,-1181) (25/36,41/59) -> (59/21,45/16) Hyperbolic Matrix(6407,-4454,2654,-1845) (41/59,16/23) -> (70/29,99/41) Hyperbolic Matrix(3325,-2316,636,-443) (39/56,23/33) -> (47/9,21/4) Hyperbolic Matrix(387,-272,212,-149) (7/10,12/17) -> (20/11,11/6) Hyperbolic Matrix(1265,-894,774,-547) (12/17,17/24) -> (49/30,18/11) Hyperbolic Matrix(1987,-1434,1254,-905) (31/43,13/18) -> (19/12,65/41) Hyperbolic Matrix(2855,-2066,626,-453) (34/47,21/29) -> (41/9,32/7) Hyperbolic Matrix(4279,-3100,940,-681) (21/29,50/69) -> (50/11,41/9) Hyperbolic Matrix(1113,-808,208,-151) (29/40,8/11) -> (16/3,43/8) Hyperbolic Matrix(485,-354,174,-127) (8/11,11/15) -> (25/9,14/5) Hyperbolic Matrix(2455,-1804,1384,-1017) (11/15,25/34) -> (39/22,55/31) Hyperbolic Matrix(1383,-1018,898,-661) (25/34,14/19) -> (20/13,37/24) Hyperbolic Matrix(1795,-1324,484,-357) (14/19,17/23) -> (63/17,26/7) Hyperbolic Matrix(443,-338,578,-441) (3/4,13/17) -> (13/17,23/30) Parabolic Matrix(3115,-2406,2166,-1673) (44/57,17/22) -> (23/16,82/57) Hyperbolic Matrix(1151,-890,710,-549) (17/22,7/9) -> (47/29,13/8) Hyperbolic Matrix(4681,-3660,1380,-1079) (43/55,18/23) -> (78/23,17/5) Hyperbolic Matrix(707,-554,134,-105) (18/23,11/14) -> (21/4,16/3) Hyperbolic Matrix(1075,-846,906,-713) (11/14,26/33) -> (32/27,19/16) Hyperbolic Matrix(18153,-14308,5368,-4231) (26/33,67/85) -> (71/21,186/55) Hyperbolic Matrix(1273,-1006,1006,-795) (15/19,19/24) -> (43/34,19/15) Hyperbolic Matrix(2075,-1644,804,-637) (19/24,4/5) -> (80/31,31/12) Hyperbolic Matrix(829,-672,132,-107) (17/21,13/16) -> (25/4,19/3) Hyperbolic Matrix(993,-808,628,-511) (13/16,9/11) -> (49/31,19/12) Hyperbolic Matrix(791,-650,230,-189) (9/11,14/17) -> (24/7,31/9) Hyperbolic Matrix(1333,-1126,586,-495) (16/19,11/13) -> (25/11,66/29) Hyperbolic Matrix(2239,-1902,1362,-1157) (28/33,17/20) -> (23/14,74/45) Hyperbolic Matrix(225,-196,256,-223) (13/15,7/8) -> (7/8,15/17) Parabolic Matrix(475,-426,126,-113) (8/9,1/1) -> (49/13,34/9) Hyperbolic Matrix(487,-534,114,-125) (1/1,10/9) -> (64/15,47/11) Hyperbolic Matrix(225,-256,196,-223) (9/8,8/7) -> (8/7,23/20) Parabolic Matrix(891,-1030,250,-289) (15/13,7/6) -> (57/16,25/7) Hyperbolic Matrix(1073,-1266,606,-715) (20/17,13/11) -> (23/13,62/35) Hyperbolic Matrix(217,-262,82,-99) (6/5,11/9) -> (29/11,8/3) Hyperbolic Matrix(3021,-3818,398,-503) (24/19,67/53) -> (53/7,38/5) Hyperbolic Matrix(2597,-3284,344,-435) (67/53,43/34) -> (15/2,53/7) Hyperbolic Matrix(5581,-7080,1560,-1979) (52/41,33/26) -> (93/26,68/19) Hyperbolic Matrix(2167,-2752,952,-1209) (33/26,14/11) -> (66/29,41/18) Hyperbolic Matrix(1293,-1648,448,-571) (14/11,51/40) -> (23/8,26/9) Hyperbolic Matrix(2317,-2964,684,-875) (23/18,32/25) -> (44/13,61/18) Hyperbolic Matrix(2587,-3352,1072,-1389) (22/17,35/27) -> (41/17,70/29) Hyperbolic Matrix(2037,-2642,1202,-1559) (35/27,13/10) -> (61/36,39/23) Hyperbolic Matrix(443,-578,338,-441) (13/10,17/13) -> (17/13,21/16) Parabolic Matrix(153,-206,26,-35) (4/3,19/14) -> (23/4,6/1) Hyperbolic Matrix(29499,-40102,8722,-11857) (87/64,121/89) -> (301/89,115/34) Hyperbolic Matrix(24079,-32740,7120,-9681) (121/89,34/25) -> (186/55,301/89) Hyperbolic Matrix(3453,-4766,1286,-1775) (69/50,29/21) -> (51/19,43/16) Hyperbolic Matrix(2973,-4108,1108,-1531) (29/21,76/55) -> (8/3,51/19) Hyperbolic Matrix(1283,-1778,578,-801) (18/13,43/31) -> (51/23,20/9) Hyperbolic Matrix(1591,-2248,448,-633) (24/17,41/29) -> (39/11,32/9) Hyperbolic Matrix(1563,-2216,596,-845) (17/12,44/31) -> (76/29,21/8) Hyperbolic Matrix(7861,-11160,3000,-4259) (44/31,71/50) -> (131/50,76/29) Hyperbolic Matrix(3743,-5316,1116,-1585) (71/50,27/19) -> (57/17,47/14) Hyperbolic Matrix(715,-1026,246,-353) (33/23,56/39) -> (26/9,3/1) Hyperbolic Matrix(4329,-6232,1672,-2407) (59/41,36/25) -> (44/17,101/39) Hyperbolic Matrix(1253,-1808,368,-531) (49/34,13/9) -> (17/5,75/22) Hyperbolic Matrix(539,-782,122,-177) (13/9,16/11) -> (22/5,31/7) Hyperbolic Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(1509,-2330,590,-911) (37/24,17/11) -> (23/9,87/34) Hyperbolic Matrix(1013,-1568,188,-291) (17/11,31/20) -> (43/8,27/5) Hyperbolic Matrix(727,-1134,234,-365) (53/34,39/25) -> (3/1,25/8) Hyperbolic Matrix(2715,-4244,1124,-1757) (25/16,61/39) -> (99/41,29/12) Hyperbolic Matrix(5685,-8894,1334,-2087) (61/39,97/62) -> (17/4,81/19) Hyperbolic Matrix(6427,-10192,2692,-4269) (65/41,46/29) -> (74/31,117/49) Hyperbolic Matrix(2157,-3424,904,-1435) (46/29,27/17) -> (31/13,74/31) Hyperbolic Matrix(1703,-2738,1058,-1701) (8/5,37/23) -> (37/23,66/41) Parabolic Matrix(1491,-2410,550,-889) (21/13,55/34) -> (65/24,19/7) Hyperbolic Matrix(2887,-4672,1192,-1929) (55/34,34/21) -> (46/19,63/26) Hyperbolic Matrix(433,-706,46,-75) (44/27,31/19) -> (9/1,10/1) Hyperbolic Matrix(593,-968,68,-111) (31/19,49/30) -> (17/2,9/1) Hyperbolic Matrix(545,-894,114,-187) (18/11,23/14) -> (19/4,24/5) Hyperbolic Matrix(691,-1168,268,-453) (5/3,22/13) -> (18/7,49/19) Hyperbolic Matrix(7031,-11928,2448,-4153) (95/56,151/89) -> (89/31,23/8) Hyperbolic Matrix(8811,-14950,3070,-5209) (151/89,56/33) -> (66/23,89/31) Hyperbolic Matrix(1045,-1774,334,-567) (56/33,17/10) -> (25/8,22/7) Hyperbolic Matrix(1021,-1738,178,-303) (17/10,46/27) -> (40/7,23/4) Hyperbolic Matrix(4593,-7828,1708,-2911) (46/27,75/44) -> (43/16,78/29) Hyperbolic Matrix(5879,-10022,2462,-4197) (75/44,29/17) -> (117/49,43/18) Hyperbolic Matrix(419,-722,242,-417) (12/7,19/11) -> (19/11,26/15) Parabolic Matrix(2295,-4066,346,-613) (62/35,39/22) -> (53/8,20/3) Hyperbolic Matrix(1317,-2344,604,-1075) (16/9,57/32) -> (61/28,24/11) Hyperbolic Matrix(2451,-4388,968,-1733) (34/19,77/43) -> (43/17,38/15) Hyperbolic Matrix(1247,-2234,494,-885) (77/43,43/24) -> (5/2,43/17) Hyperbolic Matrix(1069,-1932,192,-347) (9/5,38/21) -> (50/9,39/7) Hyperbolic Matrix(2049,-3710,470,-851) (38/21,29/16) -> (61/14,48/11) Hyperbolic Matrix(1855,-3366,426,-773) (29/16,49/27) -> (13/3,61/14) Hyperbolic Matrix(435,-824,104,-197) (17/9,2/1) -> (46/11,21/5) Hyperbolic Matrix(3289,-7090,970,-2091) (28/13,41/19) -> (139/41,78/23) Hyperbolic Matrix(1993,-4308,588,-1271) (41/19,13/6) -> (61/18,139/41) Hyperbolic Matrix(1793,-3966,486,-1075) (42/19,31/14) -> (59/16,48/13) Hyperbolic Matrix(1511,-3350,410,-909) (31/14,51/23) -> (11/3,59/16) Hyperbolic Matrix(127,-294,54,-125) (16/7,7/3) -> (7/3,26/11) Parabolic Matrix(1763,-4178,338,-801) (45/19,64/27) -> (26/5,47/9) Hyperbolic Matrix(3471,-8230,1210,-2869) (64/27,83/35) -> (43/15,66/23) Hyperbolic Matrix(3089,-7352,692,-1647) (119/50,50/21) -> (58/13,9/2) Hyperbolic Matrix(493,-1186,106,-255) (12/5,41/17) -> (51/11,14/3) Hyperbolic Matrix(2545,-6214,994,-2427) (61/25,22/9) -> (64/25,105/41) Hyperbolic Matrix(417,-1022,122,-299) (22/9,5/2) -> (41/12,24/7) Hyperbolic Matrix(12661,-32400,3540,-9059) (87/34,151/59) -> (211/59,93/26) Hyperbolic Matrix(12237,-31322,3422,-8759) (151/59,64/25) -> (118/33,211/59) Hyperbolic Matrix(1171,-3028,268,-693) (31/12,44/17) -> (48/11,35/8) Hyperbolic Matrix(2323,-6018,618,-1601) (101/39,57/22) -> (15/4,79/21) Hyperbolic Matrix(843,-2278,178,-481) (27/10,46/17) -> (52/11,19/4) Hyperbolic Matrix(3011,-8150,890,-2409) (46/17,65/24) -> (115/34,44/13) Hyperbolic Matrix(177,-484,64,-175) (19/7,11/4) -> (11/4,25/9) Parabolic Matrix(1749,-4910,410,-1151) (14/5,59/21) -> (81/19,64/15) Hyperbolic Matrix(1611,-5168,428,-1373) (16/5,61/19) -> (79/21,64/17) Hyperbolic Matrix(939,-3022,142,-457) (45/14,29/9) -> (33/5,53/8) Hyperbolic Matrix(323,-1058,98,-321) (13/4,23/7) -> (23/7,33/10) Parabolic Matrix(165,-554,14,-47) (47/14,37/11) -> (11/1,1/0) Hyperbolic Matrix(1703,-5738,398,-1341) (64/19,27/8) -> (77/18,30/7) Hyperbolic Matrix(1223,-4418,338,-1221) (18/5,47/13) -> (47/13,76/21) Parabolic Matrix(49,-192,12,-47) (23/6,4/1) -> (4/1,25/6) Parabolic Matrix(1079,-4802,242,-1077) (40/9,49/11) -> (49/11,58/13) Parabolic Matrix(51,-250,10,-49) (24/5,5/1) -> (5/1,26/5) Parabolic Matrix(105,-676,16,-103) (19/3,13/2) -> (13/2,33/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,54,1) Matrix(1253,592,908,429) -> Matrix(1,0,-40,1) Matrix(2033,952,788,369) -> Matrix(107,-4,-2006,75) Matrix(339,158,-1238,-577) -> Matrix(1,0,-14,1) Matrix(225,104,556,257) -> Matrix(99,-4,-668,27) Matrix(335,154,1886,867) -> Matrix(1,0,-26,1) Matrix(2881,1322,778,357) -> Matrix(99,-4,-2054,83) Matrix(2763,1264,776,355) -> Matrix(97,-4,-1964,81) Matrix(661,302,1438,657) -> Matrix(195,-8,-1438,59) Matrix(1975,894,-5154,-2333) -> Matrix(1,0,-6,1) Matrix(1641,742,878,397) -> Matrix(189,-8,-3142,133) Matrix(873,394,986,445) -> Matrix(1,0,-36,1) Matrix(3061,1380,1200,541) -> Matrix(189,-8,-3520,149) Matrix(869,390,2070,929) -> Matrix(91,-4,-614,27) Matrix(1409,630,870,389) -> Matrix(95,-4,-1496,63) Matrix(1825,806,754,333) -> Matrix(89,-4,-1624,73) Matrix(753,332,-2792,-1231) -> Matrix(183,-8,2036,-89) Matrix(323,142,-1822,-801) -> Matrix(181,-8,1154,-51) Matrix(1495,656,964,423) -> Matrix(179,-8,-2752,123) Matrix(531,232,428,187) -> Matrix(1,0,-36,1) Matrix(1593,694,746,325) -> Matrix(179,-8,-3110,139) Matrix(6059,2638,7862,3423) -> Matrix(179,-8,-2036,91) Matrix(7435,3236,2764,1203) -> Matrix(355,-16,-6634,299) Matrix(1059,460,320,139) -> Matrix(265,-12,-5322,241) Matrix(739,320,1060,459) -> Matrix(87,-4,-848,39) Matrix(937,398,1462,621) -> Matrix(85,-4,-786,37) Matrix(835,354,-2814,-1193) -> Matrix(169,-8,2176,-103) Matrix(1141,482,-3842,-1623) -> Matrix(167,-8,2192,-105) Matrix(1763,744,936,395) -> Matrix(167,-8,-2818,135) Matrix(10375,4376,6124,2583) -> Matrix(499,-24,-7880,379) Matrix(1039,438,102,43) -> Matrix(83,-4,-2054,99) Matrix(1139,478,722,303) -> Matrix(1,0,-36,1) Matrix(2271,952,1448,607) -> Matrix(83,-4,-1224,59) Matrix(2273,952,308,129) -> Matrix(83,-4,-2054,99) Matrix(1343,562,4538,1899) -> Matrix(247,-12,-1132,55) Matrix(3301,1380,720,301) -> Matrix(165,-8,-3568,173) Matrix(2153,894,1746,725) -> Matrix(1,0,-34,1) Matrix(4309,1788,6972,2893) -> Matrix(163,-8,-1528,75) Matrix(1945,806,514,213) -> Matrix(81,-4,-1640,81) Matrix(513,212,2248,929) -> Matrix(81,-4,-344,17) Matrix(713,294,-1734,-715) -> Matrix(241,-12,4800,-239) Matrix(2851,1170,1830,751) -> Matrix(159,-8,-2524,127) Matrix(713,292,608,249) -> Matrix(79,-4,-1086,55) Matrix(813,332,2128,869) -> Matrix(1,0,-26,1) Matrix(909,370,710,289) -> Matrix(79,-4,-1086,55) Matrix(1881,742,398,157) -> Matrix(149,-8,-3222,173) Matrix(691,272,1288,507) -> Matrix(221,-12,-1860,101) Matrix(1779,698,1282,503) -> Matrix(73,-4,-1040,57) Matrix(1085,424,2756,1077) -> Matrix(369,-20,-2380,129) Matrix(4527,1768,3152,1231) -> Matrix(147,-8,-2260,123) Matrix(493,192,588,229) -> Matrix(73,-4,-894,49) Matrix(685,266,394,153) -> Matrix(217,-12,-3490,193) Matrix(393,152,-2252,-871) -> Matrix(143,-8,876,-49) Matrix(5571,2152,2348,907) -> Matrix(1,0,-36,1) Matrix(11335,4376,4204,1623) -> Matrix(427,-24,-8024,451) Matrix(685,264,96,37) -> Matrix(71,-4,-1686,95) Matrix(99,38,-878,-337) -> Matrix(1,0,-14,1) Matrix(4281,1640,1360,521) -> Matrix(71,-4,-1402,79) Matrix(2821,1080,2040,781) -> Matrix(1,0,-32,1) Matrix(1649,630,390,149) -> Matrix(71,-4,-1544,87) Matrix(1263,482,-4562,-1741) -> Matrix(281,-16,3214,-183) Matrix(1259,478,482,183) -> Matrix(1,0,-36,1) Matrix(581,220,1640,621) -> Matrix(71,-4,-408,23) Matrix(1735,656,484,183) -> Matrix(139,-8,-2832,163) Matrix(2393,892,668,249) -> Matrix(65,-4,-1316,81) Matrix(1527,568,3632,1351) -> Matrix(135,-8,-928,55) Matrix(383,142,1238,459) -> Matrix(69,-4,-362,21) Matrix(477,176,664,245) -> Matrix(67,-4,-720,43) Matrix(473,174,666,245) -> Matrix(65,-4,-666,41) Matrix(475,174,-2274,-833) -> Matrix(129,-8,1016,-63) Matrix(2461,900,3120,1141) -> Matrix(1,0,-28,1) Matrix(471,172,2648,967) -> Matrix(1,0,-18,1) Matrix(375,136,284,103) -> Matrix(65,-4,-926,57) Matrix(283,102,1218,439) -> Matrix(63,-4,-236,15) Matrix(1029,370,470,169) -> Matrix(63,-4,-1118,71) Matrix(2993,1074,1686,605) -> Matrix(57,-4,-926,65) Matrix(95,34,746,267) -> Matrix(1,0,-18,1) Matrix(651,232,188,67) -> Matrix(1,0,-36,1) Matrix(1763,624,1116,395) -> Matrix(61,-4,-930,61) Matrix(833,292,368,129) -> Matrix(63,-4,-1118,71) Matrix(1013,354,186,65) -> Matrix(1,0,-38,1) Matrix(457,158,1102,381) -> Matrix(59,-4,-398,27) Matrix(1233,394,266,85) -> Matrix(1,0,-36,1) Matrix(2023,642,438,139) -> Matrix(55,-4,-1196,87) Matrix(613,192,348,109) -> Matrix(57,-4,-926,65) Matrix(959,298,782,243) -> Matrix(55,-4,-756,55) Matrix(1827,566,694,215) -> Matrix(1,0,-32,1) Matrix(691,212,88,27) -> Matrix(1,0,-36,1) Matrix(2941,900,2160,661) -> Matrix(1,0,-28,1) Matrix(433,132,948,289) -> Matrix(53,-4,-384,29) Matrix(1119,340,260,79) -> Matrix(53,-4,-1126,85) Matrix(859,260,1120,339) -> Matrix(157,-12,-1740,133) Matrix(2395,714,426,127) -> Matrix(1,0,-36,1) Matrix(2817,838,2222,661) -> Matrix(1,0,-26,1) Matrix(597,176,424,125) -> Matrix(51,-4,-752,59) Matrix(593,174,426,125) -> Matrix(49,-4,-698,57) Matrix(1099,320,340,99) -> Matrix(47,-4,-928,79) Matrix(3211,930,1350,391) -> Matrix(97,-8,-1758,145) Matrix(589,170,2110,609) -> Matrix(51,-4,-242,19) Matrix(419,118,1502,423) -> Matrix(93,-8,-430,37) Matrix(1417,398,502,141) -> Matrix(45,-4,-866,77) Matrix(415,116,1084,303) -> Matrix(1,0,-18,1) Matrix(3073,852,1908,529) -> Matrix(323,-28,-5018,435) Matrix(333,92,1408,389) -> Matrix(45,-4,-146,13) Matrix(1737,478,2402,661) -> Matrix(1,0,-22,1) Matrix(415,114,-2814,-773) -> Matrix(1,0,-6,1) Matrix(4715,1294,2066,567) -> Matrix(181,-16,-3224,285) Matrix(81,22,578,157) -> Matrix(45,-4,-56,5) Matrix(8801,2382,2058,557) -> Matrix(45,-4,-956,85) Matrix(3291,890,1150,311) -> Matrix(89,-8,-1702,153) Matrix(3207,866,574,155) -> Matrix(45,-4,-1046,93) Matrix(573,154,986,265) -> Matrix(221,-20,-2000,181) Matrix(489,130,410,109) -> Matrix(43,-4,-548,51) Matrix(2611,690,3750,991) -> Matrix(85,-8,-818,77) Matrix(2281,602,898,237) -> Matrix(211,-20,-3914,371) Matrix(1055,276,1464,383) -> Matrix(43,-4,-462,43) Matrix(1055,274,566,147) -> Matrix(127,-12,-2106,199) Matrix(1051,272,568,147) -> Matrix(125,-12,-2052,197) Matrix(553,132,708,169) -> Matrix(37,-4,-416,45) Matrix(1649,390,630,149) -> Matrix(1,0,-28,1) Matrix(469,110,550,129) -> Matrix(37,-4,-416,45) Matrix(233,54,-1014,-235) -> Matrix(109,-12,972,-107) Matrix(1947,446,3034,695) -> Matrix(35,-4,-306,35) Matrix(1709,390,390,89) -> Matrix(35,-4,-726,83) Matrix(389,88,1472,333) -> Matrix(35,-4,-166,19) Matrix(2633,594,1086,245) -> Matrix(33,-4,-602,73) Matrix(465,104,76,17) -> Matrix(35,-4,-796,91) Matrix(1925,424,1076,237) -> Matrix(169,-20,-2780,329) Matrix(3379,740,1000,219) -> Matrix(101,-12,-2062,245) Matrix(229,50,1690,369) -> Matrix(33,-4,-8,1) Matrix(3301,720,1380,301) -> Matrix(65,-8,-1178,145) Matrix(535,116,844,183) -> Matrix(1,0,-18,1) Matrix(2669,570,4350,929) -> Matrix(67,-8,-628,75) Matrix(2819,600,3660,779) -> Matrix(197,-24,-2208,269) Matrix(687,146,1294,275) -> Matrix(65,-8,-528,65) Matrix(303,64,-1444,-305) -> Matrix(129,-16,1024,-127) Matrix(1061,220,680,141) -> Matrix(31,-4,-488,63) Matrix(743,142,518,99) -> Matrix(29,-4,-442,61) Matrix(295,56,964,183) -> Matrix(113,-16,-572,81) Matrix(3543,662,958,179) -> Matrix(55,-8,-1148,167) Matrix(4867,906,2874,535) -> Matrix(53,-8,-828,125) Matrix(3023,562,1178,219) -> Matrix(79,-12,-1468,223) Matrix(295,54,366,67) -> Matrix(1,0,-18,1) Matrix(659,118,1022,183) -> Matrix(53,-8,-510,77) Matrix(3433,612,948,169) -> Matrix(235,-36,-4824,739) Matrix(365,64,2036,357) -> Matrix(25,-4,-56,9) Matrix(509,88,1232,213) -> Matrix(27,-4,-182,27) Matrix(643,102,498,79) -> Matrix(23,-4,-316,55) Matrix(1353,212,568,89) -> Matrix(25,-4,-456,73) Matrix(2193,334,1346,205) -> Matrix(23,-4,-362,63) Matrix(1059,160,920,139) -> Matrix(21,-4,-278,53) Matrix(565,84,1056,157) -> Matrix(43,-8,-360,67) Matrix(1685,246,774,113) -> Matrix(23,-4,-408,71) Matrix(905,124,416,57) -> Matrix(37,-8,-652,141) Matrix(417,56,484,65) -> Matrix(1,0,-16,1) Matrix(1175,154,206,27) -> Matrix(1,0,-26,1) Matrix(1171,152,208,27) -> Matrix(1,0,-28,1) Matrix(1161,140,340,41) -> Matrix(17,-4,-344,81) Matrix(2783,324,816,95) -> Matrix(15,-4,-296,79) Matrix(335,34,266,27) -> Matrix(1,0,-18,1) Matrix(529,50,730,69) -> Matrix(1,0,-14,1) Matrix(433,-46,706,-75) -> Matrix(3,4,-28,-37) Matrix(375,-46,106,-13) -> Matrix(7,4,-142,-81) Matrix(1219,-160,160,-21) -> Matrix(1,0,-18,1) Matrix(261,-38,158,-23) -> Matrix(1,0,-14,1) Matrix(1195,-186,726,-113) -> Matrix(17,8,-270,-127) Matrix(829,-132,672,-107) -> Matrix(9,4,-124,-55) Matrix(153,-26,206,-35) -> Matrix(1,0,-8,1) Matrix(1017,-184,304,-55) -> Matrix(7,4,-142,-81) Matrix(1873,-346,406,-75) -> Matrix(9,4,-196,-87) Matrix(1113,-208,808,-151) -> Matrix(1,0,-12,1) Matrix(707,-134,554,-105) -> Matrix(11,4,-146,-53) Matrix(545,-114,894,-187) -> Matrix(1,0,-6,1) Matrix(545,-116,296,-63) -> Matrix(15,4,-244,-65) Matrix(493,-106,1186,-255) -> Matrix(13,4,-88,-27) Matrix(1873,-406,346,-75) -> Matrix(13,4,-296,-91) Matrix(2463,-538,1378,-301) -> Matrix(43,12,-706,-197) Matrix(2855,-626,2066,-453) -> Matrix(15,4,-214,-57) Matrix(539,-122,782,-177) -> Matrix(15,4,-154,-41) Matrix(1171,-268,3028,-693) -> Matrix(15,4,-94,-25) Matrix(3939,-920,1460,-341) -> Matrix(21,4,-394,-75) Matrix(3841,-900,1020,-239) -> Matrix(1,0,-16,1) Matrix(1063,-256,436,-105) -> Matrix(15,4,-274,-73) Matrix(809,-212,332,-87) -> Matrix(1,0,-14,1) Matrix(475,-126,426,-113) -> Matrix(1,0,-8,1) Matrix(567,-152,332,-89) -> Matrix(33,8,-524,-127) Matrix(517,-142,142,-39) -> Matrix(35,8,-722,-165) Matrix(5581,-1560,7080,-1979) -> Matrix(19,4,-214,-45) Matrix(891,-250,1030,-289) -> Matrix(19,4,-214,-45) Matrix(375,-106,46,-13) -> Matrix(19,4,-442,-93) Matrix(1347,-392,512,-149) -> Matrix(1,0,-14,1) Matrix(417,-122,1022,-299) -> Matrix(1,0,-2,1) Matrix(2317,-684,2964,-875) -> Matrix(55,12,-628,-137) Matrix(6901,-2040,11160,-3299) -> Matrix(55,12,-518,-113) Matrix(3239,-962,1202,-357) -> Matrix(151,32,-2836,-601) Matrix(5133,-1528,8368,-2491) -> Matrix(39,8,-356,-73) Matrix(1017,-304,184,-55) -> Matrix(19,4,-442,-93) Matrix(323,-98,1058,-321) -> Matrix(139,28,-700,-141) Matrix(4441,-1380,2700,-839) -> Matrix(125,24,-1974,-379) Matrix(4941,-1538,3158,-983) -> Matrix(21,4,-268,-51) Matrix(731,-230,410,-129) -> Matrix(23,4,-374,-65) Matrix(843,-296,356,-125) -> Matrix(47,8,-852,-145) Matrix(1949,-692,752,-267) -> Matrix(91,16,-1712,-301) Matrix(485,-174,354,-127) -> Matrix(47,8,-664,-113) Matrix(659,-242,482,-177) -> Matrix(49,8,-680,-111) Matrix(1491,-550,2410,-889) -> Matrix(99,16,-922,-149) Matrix(2103,-778,1138,-421) -> Matrix(173,28,-2836,-459) Matrix(3239,-1202,962,-357) -> Matrix(199,32,-4036,-649) Matrix(5335,-1984,1444,-537) -> Matrix(51,8,-1052,-165) Matrix(787,-294,174,-65) -> Matrix(25,4,-544,-87) Matrix(217,-82,262,-99) -> Matrix(25,4,-294,-47) Matrix(2129,-812,1172,-447) -> Matrix(1,0,-10,1) Matrix(1949,-752,692,-267) -> Matrix(99,16,-1912,-309) Matrix(12245,-4734,4674,-1807) -> Matrix(51,8,-950,-149) Matrix(691,-268,1168,-453) -> Matrix(101,16,-928,-147) Matrix(733,-286,346,-135) -> Matrix(25,4,-444,-71) Matrix(3969,-1550,950,-371) -> Matrix(25,4,-544,-87) Matrix(5393,-2108,3968,-1551) -> Matrix(51,8,-746,-117) Matrix(1895,-744,1164,-457) -> Matrix(77,12,-1200,-187) Matrix(1419,-560,560,-221) -> Matrix(259,40,-4798,-741) Matrix(3795,-1544,1664,-677) -> Matrix(33,4,-586,-71) Matrix(809,-332,212,-87) -> Matrix(1,0,-14,1) Matrix(2887,-1192,4672,-1929) -> Matrix(79,12,-744,-113) Matrix(2587,-1072,3352,-1389) -> Matrix(55,8,-612,-89) Matrix(2453,-1026,1566,-655) -> Matrix(27,4,-412,-61) Matrix(1775,-744,804,-337) -> Matrix(109,16,-1928,-283) Matrix(11661,-4900,4900,-2059) -> Matrix(329,48,-5970,-871) Matrix(127,-54,294,-125) -> Matrix(83,12,-588,-85) Matrix(711,-310,250,-109) -> Matrix(29,4,-544,-75) Matrix(2585,-1134,1794,-787) -> Matrix(29,4,-370,-51) Matrix(1333,-586,1126,-495) -> Matrix(29,4,-312,-43) Matrix(957,-422,542,-239) -> Matrix(117,16,-1894,-259) Matrix(331,-148,208,-93) -> Matrix(1,0,-8,1) Matrix(1687,-774,534,-245) -> Matrix(59,8,-1158,-157) Matrix(615,-286,286,-133) -> Matrix(121,16,-2110,-279) Matrix(733,-346,286,-135) -> Matrix(29,4,-544,-75) Matrix(907,-474,354,-185) -> Matrix(67,8,-1248,-149) Matrix(545,-296,116,-63) -> Matrix(35,4,-744,-85) Matrix(387,-212,272,-149) -> Matrix(1,0,-6,1) Matrix(693,-386,386,-215) -> Matrix(1,0,-8,1) Matrix(2463,-1378,538,-301) -> Matrix(103,12,-2206,-257) Matrix(731,-410,230,-129) -> Matrix(35,4,-674,-77) Matrix(2455,-1384,1804,-1017) -> Matrix(35,4,-464,-53) Matrix(1073,-606,1266,-715) -> Matrix(35,4,-324,-37) Matrix(957,-542,422,-239) -> Matrix(141,16,-2494,-283) Matrix(419,-242,722,-417) -> Matrix(287,32,-2592,-289) Matrix(567,-332,152,-89) -> Matrix(73,8,-1524,-167) Matrix(6457,-3804,3624,-2135) -> Matrix(147,16,-2398,-261) Matrix(5889,-3472,3472,-2047) -> Matrix(221,24,-3490,-379) Matrix(2037,-1202,2642,-1559) -> Matrix(1,0,-2,1) Matrix(903,-536,716,-425) -> Matrix(37,4,-546,-59) Matrix(261,-158,38,-23) -> Matrix(1,0,-14,1) Matrix(2757,-1682,2162,-1319) -> Matrix(1,0,-4,1) Matrix(1265,-774,894,-547) -> Matrix(37,4,-546,-59) Matrix(1895,-1164,744,-457) -> Matrix(113,12,-2100,-223) Matrix(1151,-710,890,-549) -> Matrix(75,8,-1022,-109) Matrix(16833,-10408,4708,-2911) -> Matrix(37,4,-768,-83) Matrix(777,-482,482,-299) -> Matrix(151,16,-2350,-249) Matrix(331,-208,148,-93) -> Matrix(1,0,-8,1) Matrix(993,-628,808,-511) -> Matrix(1,0,-4,1) Matrix(2453,-1566,1026,-655) -> Matrix(39,4,-712,-73) Matrix(4941,-3158,1538,-983) -> Matrix(49,4,-968,-79) Matrix(6477,-4142,4502,-2879) -> Matrix(1,0,-10,1) Matrix(5995,-3844,3364,-2157) -> Matrix(39,4,-634,-65) Matrix(2261,-1460,1640,-1059) -> Matrix(39,4,-556,-57) Matrix(73,-48,108,-71) -> Matrix(39,4,-400,-41) Matrix(1209,-830,890,-611) -> Matrix(1,0,-4,1) Matrix(1419,-980,320,-221) -> Matrix(43,4,-914,-85) Matrix(2585,-1794,1134,-787) -> Matrix(49,4,-870,-71) Matrix(4779,-3320,1700,-1181) -> Matrix(51,4,-982,-77) Matrix(6407,-4454,2654,-1845) -> Matrix(31,4,-566,-73) Matrix(3325,-2316,636,-443) -> Matrix(39,4,-868,-89) Matrix(387,-272,212,-149) -> Matrix(1,0,-6,1) Matrix(1265,-894,774,-547) -> Matrix(41,4,-646,-63) Matrix(1987,-1434,1254,-905) -> Matrix(43,4,-656,-61) Matrix(2855,-2066,626,-453) -> Matrix(43,4,-914,-85) Matrix(4279,-3100,940,-681) -> Matrix(1,0,-10,1) Matrix(1113,-808,208,-151) -> Matrix(1,0,-12,1) Matrix(485,-354,174,-127) -> Matrix(87,8,-1664,-153) Matrix(2455,-1804,1384,-1017) -> Matrix(47,4,-764,-65) Matrix(1383,-1018,898,-661) -> Matrix(43,4,-656,-61) Matrix(1795,-1324,484,-357) -> Matrix(45,4,-934,-83) Matrix(443,-338,578,-441) -> Matrix(175,16,-1936,-177) Matrix(3115,-2406,2166,-1673) -> Matrix(45,4,-754,-67) Matrix(1151,-890,710,-549) -> Matrix(91,8,-1422,-125) Matrix(4681,-3660,1380,-1079) -> Matrix(137,12,-2820,-247) Matrix(707,-554,134,-105) -> Matrix(47,4,-1046,-89) Matrix(1075,-846,906,-713) -> Matrix(1,0,0,1) Matrix(18153,-14308,5368,-4231) -> Matrix(47,4,-952,-81) Matrix(1273,-1006,1006,-795) -> Matrix(1,0,0,1) Matrix(2075,-1644,804,-637) -> Matrix(37,4,-694,-75) Matrix(829,-672,132,-107) -> Matrix(45,4,-1024,-91) Matrix(993,-808,628,-511) -> Matrix(1,0,-4,1) Matrix(791,-650,230,-189) -> Matrix(47,4,-952,-81) Matrix(1333,-1126,586,-495) -> Matrix(57,4,-1012,-71) Matrix(2239,-1902,1362,-1157) -> Matrix(41,4,-646,-63) Matrix(225,-196,256,-223) -> Matrix(47,4,-576,-49) Matrix(475,-426,126,-113) -> Matrix(1,0,-8,1) Matrix(487,-534,114,-125) -> Matrix(1,0,-8,1) Matrix(225,-256,196,-223) -> Matrix(51,4,-676,-53) Matrix(891,-1030,250,-289) -> Matrix(55,4,-1114,-81) Matrix(1073,-1266,606,-715) -> Matrix(63,4,-1024,-65) Matrix(217,-262,82,-99) -> Matrix(53,4,-994,-75) Matrix(3021,-3818,398,-503) -> Matrix(1,0,0,1) Matrix(2597,-3284,344,-435) -> Matrix(1,0,-18,1) Matrix(5581,-7080,1560,-1979) -> Matrix(55,4,-1114,-81) Matrix(2167,-2752,952,-1209) -> Matrix(57,4,-1012,-71) Matrix(1293,-1648,448,-571) -> Matrix(1,0,-6,1) Matrix(2317,-2964,684,-875) -> Matrix(163,12,-3328,-245) Matrix(2587,-3352,1072,-1389) -> Matrix(111,8,-2012,-145) Matrix(2037,-2642,1202,-1559) -> Matrix(1,0,-2,1) Matrix(443,-578,338,-441) -> Matrix(223,16,-3136,-225) Matrix(153,-206,26,-35) -> Matrix(1,0,-8,1) Matrix(29499,-40102,8722,-11857) -> Matrix(117,8,-2384,-163) Matrix(24079,-32740,7120,-9681) -> Matrix(63,4,-1276,-81) Matrix(3453,-4766,1286,-1775) -> Matrix(53,4,-994,-75) Matrix(2973,-4108,1108,-1531) -> Matrix(115,8,-2142,-149) Matrix(1283,-1778,578,-801) -> Matrix(57,4,-1012,-71) Matrix(1591,-2248,448,-633) -> Matrix(117,8,-2384,-163) Matrix(1563,-2216,596,-845) -> Matrix(1,0,-4,1) Matrix(7861,-11160,3000,-4259) -> Matrix(61,4,-1144,-75) Matrix(3743,-5316,1116,-1585) -> Matrix(55,4,-1114,-81) Matrix(715,-1026,246,-353) -> Matrix(1,0,-4,1) Matrix(4329,-6232,1672,-2407) -> Matrix(53,4,-994,-75) Matrix(1253,-1808,368,-531) -> Matrix(1,0,-6,1) Matrix(539,-782,122,-177) -> Matrix(59,4,-1254,-85) Matrix(73,-108,48,-71) -> Matrix(59,4,-900,-61) Matrix(1509,-2330,590,-911) -> Matrix(185,12,-3438,-223) Matrix(1013,-1568,188,-291) -> Matrix(61,4,-1388,-91) Matrix(727,-1134,234,-365) -> Matrix(1,0,-4,1) Matrix(2715,-4244,1124,-1757) -> Matrix(71,4,-1296,-73) Matrix(5685,-8894,1334,-2087) -> Matrix(1,0,-10,1) Matrix(6427,-10192,2692,-4269) -> Matrix(55,4,-1004,-73) Matrix(2157,-3424,904,-1435) -> Matrix(245,16,-4456,-291) Matrix(1703,-2738,1058,-1701) -> Matrix(867,56,-13454,-869) Matrix(1491,-2410,550,-889) -> Matrix(251,16,-4722,-301) Matrix(2887,-4672,1192,-1929) -> Matrix(187,12,-3444,-221) Matrix(433,-706,46,-75) -> Matrix(63,4,-1528,-97) Matrix(593,-968,68,-111) -> Matrix(1,0,-8,1) Matrix(545,-894,114,-187) -> Matrix(1,0,-6,1) Matrix(691,-1168,268,-453) -> Matrix(253,16,-4728,-299) Matrix(7031,-11928,2448,-4153) -> Matrix(63,4,-1276,-81) Matrix(8811,-14950,3070,-5209) -> Matrix(317,20,-6134,-387) Matrix(1045,-1774,334,-567) -> Matrix(63,4,-1276,-81) Matrix(1021,-1738,178,-303) -> Matrix(63,4,-1402,-89) Matrix(4593,-7828,1708,-2911) -> Matrix(253,16,-4728,-299) Matrix(5879,-10022,2462,-4197) -> Matrix(631,40,-11500,-729) Matrix(419,-722,242,-417) -> Matrix(511,32,-8192,-513) Matrix(2295,-4066,346,-613) -> Matrix(261,16,-6052,-371) Matrix(1317,-2344,604,-1075) -> Matrix(197,12,-3464,-211) Matrix(2451,-4388,968,-1733) -> Matrix(1187,72,-21976,-1333) Matrix(1247,-2234,494,-885) -> Matrix(529,32,-9770,-591) Matrix(1069,-1932,192,-347) -> Matrix(1,0,-6,1) Matrix(2049,-3710,470,-851) -> Matrix(1,0,-6,1) Matrix(1855,-3366,426,-773) -> Matrix(65,4,-1414,-87) Matrix(435,-824,104,-197) -> Matrix(67,4,-1424,-85) Matrix(3289,-7090,970,-2091) -> Matrix(909,52,-18652,-1067) Matrix(1993,-4308,588,-1271) -> Matrix(631,36,-12918,-737) Matrix(1793,-3966,486,-1075) -> Matrix(285,16,-5896,-331) Matrix(1511,-3350,410,-909) -> Matrix(69,4,-1432,-83) Matrix(127,-294,54,-125) -> Matrix(215,12,-3888,-217) Matrix(1763,-4178,338,-801) -> Matrix(73,4,-1588,-87) Matrix(3471,-8230,1210,-2869) -> Matrix(291,16,-5620,-309) Matrix(3089,-7352,692,-1647) -> Matrix(581,32,-12546,-691) Matrix(493,-1186,106,-255) -> Matrix(73,4,-1588,-87) Matrix(2545,-6214,994,-2427) -> Matrix(147,8,-2738,-149) Matrix(417,-1022,122,-299) -> Matrix(1,0,-2,1) Matrix(12661,-32400,3540,-9059) -> Matrix(373,20,-7516,-403) Matrix(12237,-31322,3422,-8759) -> Matrix(149,8,-3036,-163) Matrix(1171,-3028,268,-693) -> Matrix(75,4,-1594,-85) Matrix(2323,-6018,618,-1601) -> Matrix(75,4,-1744,-93) Matrix(843,-2278,178,-481) -> Matrix(301,16,-6528,-347) Matrix(3011,-8150,890,-2409) -> Matrix(377,20,-7672,-407) Matrix(177,-484,64,-175) -> Matrix(303,16,-5776,-305) Matrix(1749,-4910,410,-1151) -> Matrix(77,4,-1444,-75) Matrix(1611,-5168,428,-1373) -> Matrix(79,4,-1442,-73) Matrix(939,-3022,142,-457) -> Matrix(475,24,-11024,-557) Matrix(323,-1058,98,-321) -> Matrix(559,28,-11200,-561) Matrix(165,-554,14,-47) -> Matrix(81,4,-1924,-95) Matrix(1703,-5738,398,-1341) -> Matrix(81,4,-1762,-87) Matrix(1223,-4418,338,-1221) -> Matrix(1475,72,-30258,-1477) Matrix(49,-192,12,-47) -> Matrix(83,4,-1764,-85) Matrix(1079,-4802,242,-1077) -> Matrix(515,24,-11094,-517) Matrix(51,-250,10,-49) -> Matrix(87,4,-1936,-89) Matrix(105,-676,16,-103) -> Matrix(183,8,-4232,-185) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 12 Minimal number of generators: 3 Number of equivalence classes of cusps: 4 Genus: 0 Degree of H/liftables -> H/(image of liftables): 64 Degree of the the map X: 128 Degree of the the map Y: 384 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- 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): 1152 Minimal number of generators: 193 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: 80 Genus: 57 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 1/9 2/13 3/17 1/5 1/4 1/3 4/11 7/18 3/7 1/2 2/3 5/7 9/11 7/8 1/1 8/7 13/11 11/9 67/53 17/13 7/5 59/41 3/2 61/39 11/7 37/23 5/3 151/89 19/11 77/43 29/16 13/7 2/1 41/19 11/5 31/14 25/11 7/3 17/7 151/59 18/7 13/5 35/13 19/7 11/4 3/1 19/6 16/5 23/7 37/11 7/2 47/13 11/3 19/5 4/1 17/4 13/3 22/5 49/11 23/5 33/7 24/5 5/1 21/4 16/3 27/5 11/2 17/3 23/4 6/1 19/3 13/2 20/3 7/1 15/2 8/1 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 0/1 0/1 1/1 1/9 -1/1 1/8 -1/2 2/15 0/1 1/1 1/7 -2/3 2/13 -1/2 3/19 -4/9 -2/5 1/6 -2/5 -1/3 3/17 0/1 5/28 -1/2 2/11 -1/2 -2/5 5/27 -2/5 3/16 -3/7 -2/5 1/5 -1/3 4/19 -1/3 -2/7 3/14 -1/4 0/1 8/37 -1/3 5/23 -2/7 7/32 -1/4 2/9 -1/3 -2/7 5/22 -1/4 3/13 -2/7 4/17 -1/3 1/4 -1/4 5/19 -2/9 4/15 -2/7 -1/4 3/11 -4/17 -2/9 5/18 -2/9 -7/32 7/25 -2/9 9/32 -2/9 -5/23 2/7 -1/5 7/24 -2/9 -1/5 5/17 -2/9 0/1 13/44 -3/14 8/27 -3/14 11/37 -4/19 14/47 -4/19 -9/43 3/10 -6/29 -1/5 7/23 -1/5 4/13 -1/5 -8/41 5/16 -3/16 1/3 -2/11 6/17 -1/5 -2/11 5/14 -5/29 -6/35 4/11 -1/6 7/19 -8/49 -6/37 17/46 -1/6 10/27 -6/37 -5/31 13/35 -4/25 16/43 -5/31 -4/25 3/8 -1/6 -2/13 8/21 -1/6 -2/13 5/13 -1/6 17/44 -1/6 -4/25 12/31 -5/31 -4/25 7/18 -3/19 16/41 -3/19 25/64 -3/19 -2/13 9/23 -2/13 11/28 -5/32 2/5 -2/13 -3/20 11/27 -2/13 0/1 9/22 -2/13 -1/7 7/17 -2/13 12/29 -3/20 -10/67 17/41 -2/13 -4/27 5/12 -3/20 -4/27 18/43 -4/27 -1/7 13/31 -6/41 8/19 -1/7 3/7 -1/7 10/23 -1/7 7/16 -6/43 -5/36 18/41 -1/7 -4/29 11/25 -4/29 4/9 -3/22 -2/15 5/11 -2/15 6/13 -7/52 -2/15 7/15 -2/15 -8/61 1/2 -1/8 8/15 -3/25 -2/17 7/13 -2/17 6/11 -4/35 -1/9 5/9 -2/17 0/1 19/34 -2/17 -13/111 14/25 -5/43 9/16 -3/26 22/39 -7/61 -4/35 13/23 -4/35 4/7 -6/53 -1/9 11/19 -1/9 7/12 -1/9 -10/91 10/17 -1/9 33/56 -1/9 -6/55 23/39 -6/55 -4/37 13/22 -1/9 16/27 -9/83 -4/37 3/5 -2/19 14/23 -1/9 -2/19 25/41 -1/9 11/18 -1/9 -2/19 19/31 -1/9 46/75 -4/37 -7/65 27/44 -3/28 -2/19 8/13 -1/9 21/34 -3/28 34/55 -3/28 -2/19 47/76 -3/28 13/21 -8/75 -2/19 5/8 -2/19 -3/29 12/19 -2/19 -1/10 7/11 -1/10 23/36 -1/10 0/1 39/61 0/1 16/25 -1/8 -2/17 9/14 -3/28 -2/19 11/17 -2/19 2/3 -1/10 13/19 -2/21 11/16 -1/10 20/29 -3/31 -2/21 9/13 -2/21 0/1 25/36 -1/12 0/1 41/59 0/1 16/23 -1/9 7/10 -1/10 -4/41 12/17 -1/10 -2/21 5/7 -2/21 13/18 -2/21 -1/11 21/29 -1/11 29/40 -1/10 8/11 -2/21 -3/32 11/15 -2/23 0/1 25/34 -1/10 0/1 14/19 -1/11 17/23 0/1 3/4 -2/21 -1/11 13/17 -1/11 10/13 -1/11 -6/67 37/48 -1/11 27/35 -6/67 -4/45 44/57 -5/56 -14/157 17/22 -3/34 7/9 -2/23 18/23 -2/23 -5/58 11/14 -1/12 26/33 -1/11 0/1 15/19 -2/25 0/1 19/24 -1/8 0/1 4/5 -1/11 13/16 -1/11 -2/23 9/11 -2/23 14/17 -2/23 -1/12 5/6 -2/23 -1/12 11/13 0/1 6/7 -2/23 -1/12 13/15 -2/23 7/8 -1/12 8/9 -1/13 0/1 1/1 -2/25 0/1 9/8 -1/12 0/1 8/7 -1/13 15/13 -2/27 7/6 -1/13 -2/27 13/11 0/1 6/5 -1/13 -2/27 11/9 -2/27 16/13 -2/27 -1/14 5/4 -1/14 24/19 -1/17 0/1 67/53 0/1 43/34 -1/8 0/1 19/15 -2/25 0/1 33/26 -1/14 0/1 14/11 -1/13 51/40 -1/13 -2/27 37/29 -1/13 23/18 -5/67 -2/27 9/7 -2/27 22/17 -3/41 35/27 -4/55 -6/83 13/10 -6/83 -1/14 17/13 -1/14 4/3 -1/14 -2/29 19/14 -1/14 53/39 -2/29 87/64 -2/29 -1/15 121/89 -1/15 34/25 -1/15 0/1 15/11 -2/27 0/1 26/19 -1/14 11/8 -3/43 -2/29 40/29 -1/15 29/21 -1/14 18/13 -1/14 -2/29 7/5 -2/29 17/12 -2/29 -1/15 44/31 -1/15 71/50 -1/16 0/1 27/19 -2/29 0/1 10/7 -4/59 -1/15 23/16 -1/16 82/57 -1/18 -2/37 59/41 0/1 36/25 -1/13 0/1 49/34 -2/27 -1/14 13/9 -2/29 0/1 16/11 -1/15 3/2 -1/15 20/13 -1/15 37/24 -4/61 -3/46 17/11 -2/31 14/9 -2/31 -3/47 25/16 -2/33 -1/17 61/39 0/1 36/23 -1/15 0/1 11/7 -1/15 19/12 -1/15 -2/31 46/29 -1/15 27/17 -2/31 8/5 -3/46 -2/31 37/23 -2/31 29/18 -2/31 -11/171 21/13 -2/31 -8/125 55/34 -2/31 -3/47 34/21 -3/47 13/8 -1/16 44/27 -2/31 -3/47 31/19 -1/16 18/11 -2/31 -1/16 23/14 -2/31 -1/16 51/31 -4/63 -6/95 28/17 -1/16 5/3 -2/31 22/13 -1/16 61/36 -6/95 -1/16 39/23 -4/63 -6/95 95/56 -5/79 -6/95 151/89 -6/95 56/33 -6/95 -1/16 17/10 -1/16 46/27 -6/95 -1/16 75/44 -4/63 -9/142 29/17 -4/63 -6/95 12/7 -10/159 -1/16 19/11 -1/16 7/4 -1/16 -6/97 23/13 -4/65 39/22 -4/65 -7/114 16/9 -3/49 57/32 -3/49 -2/33 41/23 -2/33 25/14 -5/82 34/19 -13/214 -2/33 77/43 -2/33 43/24 -2/33 -13/215 9/5 -2/33 0/1 38/21 -1/15 0/1 29/16 -1/16 20/11 -1/16 -2/33 11/6 -1/16 -4/65 24/13 -3/49 -2/33 13/7 -2/33 15/8 -2/33 -3/50 2/1 -1/17 15/7 -8/139 -2/35 28/13 -15/262 -2/35 41/19 -2/35 13/6 -2/35 -7/123 11/5 -2/35 42/19 -3/53 -4/71 31/14 -1/18 20/9 -2/35 -1/18 9/4 -2/35 -3/53 25/11 -4/71 41/18 -4/71 -1/18 57/25 -4/71 -14/249 16/7 -5/89 -6/107 7/3 -1/18 26/11 -7/127 -6/109 45/19 -6/109 64/27 -1/18 -6/109 19/8 -1/18 31/13 -6/109 74/31 -5/91 43/18 -1/18 -4/73 12/5 -4/73 -3/55 41/17 -4/73 -2/37 70/29 -5/91 99/41 -4/73 29/12 -10/183 -3/55 17/7 -2/37 39/16 -1/18 22/9 -1/18 -2/37 5/2 -3/55 -2/37 28/11 -5/93 23/9 -2/37 87/34 -8/149 -3/56 151/59 -3/56 64/25 -2/37 -3/56 41/16 -3/56 18/7 -3/56 49/19 -10/187 31/12 -4/75 -5/94 44/17 -4/75 -1/19 13/5 -1/19 21/8 -2/37 -1/19 29/11 -2/37 8/3 -2/37 -1/19 43/16 -4/75 -5/94 35/13 -4/75 62/23 -5/94 27/10 -5/94 -6/113 46/17 -1/19 65/24 -6/113 -1/19 19/7 -6/113 -8/151 11/4 -1/19 25/9 -10/191 -8/153 14/5 -6/115 -5/96 17/6 -2/39 -1/20 20/7 -1/19 23/8 -1/19 -2/39 3/1 -2/39 22/7 -2/39 -1/20 19/6 -1/20 16/5 -3/59 13/4 -8/159 -1/20 23/7 -1/20 10/3 -1/20 -6/121 47/14 -9/182 -4/81 37/11 -4/81 64/19 -10/203 -3/61 27/8 -3/61 44/13 -3/61 17/5 -2/41 0/1 41/12 -3/61 -2/41 24/7 -1/20 -2/41 7/2 -1/20 32/9 -5/102 -2/41 25/7 -2/41 18/5 -7/143 -2/41 47/13 -2/41 29/8 -2/41 -11/226 11/3 -2/41 -4/83 48/13 -7/145 -4/83 37/10 -2/41 -1/21 26/7 -1/21 15/4 -1/21 -2/43 19/5 -2/41 23/6 -2/41 -1/21 4/1 -1/21 17/4 -1/22 13/3 -2/43 22/5 -1/21 31/7 -4/85 -2/43 40/9 -5/107 -2/43 49/11 -2/43 9/2 -2/43 -1/22 32/7 -1/21 23/5 -2/43 37/8 -1/22 14/3 -1/21 0/1 33/7 -2/43 19/4 -2/43 -1/22 24/5 -2/43 -1/22 5/1 -1/22 26/5 -1/22 -2/45 21/4 -1/22 16/3 -2/45 -3/68 27/5 -2/45 11/2 -2/45 -1/23 28/5 -1/23 17/3 0/1 23/4 -1/22 6/1 -1/22 -2/45 19/3 -2/45 -4/91 13/2 -1/23 33/5 -6/139 -4/93 20/3 -1/23 -2/47 7/1 -2/47 15/2 -1/26 0/1 8/1 -1/23 9/1 -1/24 10/1 -2/49 -1/25 1/0 -1/26 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(0,-1,1,2) (-1/1,1/0) -> (-1/1,0/1) Parabolic Matrix(433,-46,706,-75) (0/1,1/9) -> (19/31,46/75) Hyperbolic Matrix(592,-69,429,-50) (1/9,1/8) -> (40/29,29/21) Hyperbolic Matrix(212,-27,267,-34) (1/8,2/15) -> (19/24,4/5) Hyperbolic Matrix(952,-129,369,-50) (2/15,1/7) -> (49/19,31/12) Hyperbolic Matrix(261,-38,158,-23) (1/7,2/13) -> (28/17,5/3) Hyperbolic Matrix(1195,-186,726,-113) (2/13,3/19) -> (51/31,28/17) Hyperbolic Matrix(104,-17,257,-42) (3/19,1/6) -> (2/5,11/27) Hyperbolic Matrix(153,-26,206,-35) (1/6,3/17) -> (17/23,3/4) Hyperbolic Matrix(714,-127,967,-172) (3/17,5/28) -> (14/19,17/23) Hyperbolic Matrix(1322,-237,357,-64) (5/28,2/11) -> (37/10,26/7) Hyperbolic Matrix(354,-65,305,-56) (2/11,5/27) -> (15/13,7/6) Hyperbolic Matrix(1264,-235,355,-66) (5/27,3/16) -> (32/9,25/7) Hyperbolic Matrix(707,-134,554,-105) (3/16,1/5) -> (37/29,23/18) Hyperbolic Matrix(545,-114,894,-187) (1/5,4/19) -> (14/23,25/41) Hyperbolic Matrix(545,-116,296,-63) (4/19,3/14) -> (11/6,24/13) Hyperbolic Matrix(394,-85,445,-96) (3/14,8/37) -> (7/8,8/9) Hyperbolic Matrix(642,-139,739,-160) (8/37,5/23) -> (13/15,7/8) Hyperbolic Matrix(1380,-301,541,-118) (5/23,7/32) -> (28/11,23/9) Hyperbolic Matrix(936,-205,1525,-334) (7/32,2/9) -> (27/44,8/13) Hyperbolic Matrix(539,-122,782,-177) (2/9,5/22) -> (11/16,20/29) Hyperbolic Matrix(390,-89,929,-212) (5/22,3/13) -> (13/31,8/19) Hyperbolic Matrix(340,-79,439,-102) (3/13,4/17) -> (17/22,7/9) Hyperbolic Matrix(630,-149,389,-92) (4/17,1/4) -> (34/21,13/8) Hyperbolic Matrix(809,-212,332,-87) (1/4,5/19) -> (17/7,39/16) Hyperbolic Matrix(806,-213,333,-88) (5/19,4/15) -> (29/12,17/7) Hyperbolic Matrix(567,-152,332,-89) (4/15,3/11) -> (29/17,12/7) Hyperbolic Matrix(517,-142,142,-39) (3/11,5/18) -> (29/8,11/3) Hyperbolic Matrix(656,-183,423,-118) (5/18,7/25) -> (17/11,14/9) Hyperbolic Matrix(1264,-355,235,-66) (7/25,9/32) -> (16/3,27/5) Hyperbolic Matrix(984,-277,1357,-382) (9/32,2/7) -> (29/40,8/11) Hyperbolic Matrix(232,-67,187,-54) (2/7,7/24) -> (16/13,5/4) Hyperbolic Matrix(417,-122,1022,-299) (7/24,5/17) -> (11/27,9/22) Hyperbolic Matrix(694,-205,325,-96) (5/17,13/44) -> (2/1,15/7) Hyperbolic Matrix(740,-219,1899,-562) (13/44,8/27) -> (7/18,16/41) Hyperbolic Matrix(3239,-962,1202,-357) (8/27,11/37) -> (35/13,62/23) Hyperbolic Matrix(3236,-963,1203,-358) (11/37,14/47) -> (43/16,35/13) Hyperbolic Matrix(2912,-869,1709,-510) (14/47,3/10) -> (46/27,75/44) Hyperbolic Matrix(460,-139,139,-42) (3/10,7/23) -> (23/7,10/3) Hyperbolic Matrix(598,-183,183,-56) (7/23,4/13) -> (13/4,23/7) Hyperbolic Matrix(320,-99,459,-142) (4/13,5/16) -> (16/23,7/10) Hyperbolic Matrix(731,-230,410,-129) (5/16,1/3) -> (41/23,25/14) Hyperbolic Matrix(843,-296,356,-125) (1/3,6/17) -> (26/11,45/19) Hyperbolic Matrix(398,-141,621,-220) (6/17,5/14) -> (16/25,9/14) Hyperbolic Matrix(485,-174,354,-127) (5/14,4/11) -> (26/19,11/8) Hyperbolic Matrix(659,-242,482,-177) (4/11,7/19) -> (15/11,26/19) Hyperbolic Matrix(1491,-550,2410,-889) (7/19,17/46) -> (47/76,13/21) Hyperbolic Matrix(744,-275,395,-146) (17/46,10/27) -> (15/8,2/1) Hyperbolic Matrix(3239,-1202,962,-357) (10/27,13/35) -> (37/11,64/19) Hyperbolic Matrix(3236,-1203,963,-358) (13/35,16/43) -> (47/14,37/11) Hyperbolic Matrix(438,-163,43,-16) (16/43,3/8) -> (10/1,1/0) Hyperbolic Matrix(217,-82,262,-99) (3/8,8/21) -> (14/17,5/6) Hyperbolic Matrix(478,-183,303,-116) (8/21,5/13) -> (11/7,19/12) Hyperbolic Matrix(952,-367,607,-234) (5/13,17/44) -> (36/23,11/7) Hyperbolic Matrix(778,-301,1861,-720) (17/44,12/31) -> (5/12,18/43) Hyperbolic Matrix(691,-268,1168,-453) (12/31,7/18) -> (13/22,16/27) Hyperbolic Matrix(4402,-1719,7119,-2780) (16/41,25/64) -> (34/55,47/76) Hyperbolic Matrix(5393,-2108,3968,-1551) (25/64,9/23) -> (53/39,87/64) Hyperbolic Matrix(1380,-541,301,-118) (9/23,11/28) -> (32/7,23/5) Hyperbolic Matrix(602,-237,1077,-424) (11/28,2/5) -> (19/34,14/25) Hyperbolic Matrix(809,-332,212,-87) (9/22,7/17) -> (19/5,23/6) Hyperbolic Matrix(806,-333,213,-88) (7/17,12/29) -> (15/4,19/5) Hyperbolic Matrix(2587,-1072,3352,-1389) (12/29,17/41) -> (27/35,44/57) Hyperbolic Matrix(340,-141,381,-158) (17/41,5/12) -> (8/9,1/1) Hyperbolic Matrix(1775,-744,804,-337) (18/43,13/31) -> (11/5,42/19) Hyperbolic Matrix(127,-54,294,-125) (8/19,3/7) -> (3/7,10/23) Parabolic Matrix(711,-310,250,-109) (10/23,7/16) -> (17/6,20/7) Hyperbolic Matrix(2585,-1134,1794,-787) (7/16,18/41) -> (36/25,49/34) Hyperbolic Matrix(1918,-843,1083,-476) (18/41,11/25) -> (23/13,39/22) Hyperbolic Matrix(292,-129,249,-110) (11/25,4/9) -> (7/6,13/11) Hyperbolic Matrix(331,-148,208,-93) (4/9,5/11) -> (27/17,8/5) Hyperbolic Matrix(370,-169,289,-132) (5/11,6/13) -> (23/18,9/7) Hyperbolic Matrix(615,-286,286,-133) (6/13,7/15) -> (15/7,28/13) Hyperbolic Matrix(694,-325,205,-96) (7/15,1/2) -> (44/13,17/5) Hyperbolic Matrix(744,-395,275,-146) (1/2,8/15) -> (27/10,46/17) Hyperbolic Matrix(742,-397,157,-84) (8/15,7/13) -> (33/7,19/4) Hyperbolic Matrix(545,-296,116,-63) (7/13,6/11) -> (14/3,33/7) Hyperbolic Matrix(387,-212,272,-149) (6/11,5/9) -> (27/19,10/7) Hyperbolic Matrix(693,-386,386,-215) (5/9,19/34) -> (43/24,9/5) Hyperbolic Matrix(731,-410,230,-129) (14/25,9/16) -> (19/6,16/5) Hyperbolic Matrix(1074,-605,845,-476) (9/16,22/39) -> (33/26,14/11) Hyperbolic Matrix(1918,-1083,843,-476) (22/39,13/23) -> (25/11,41/18) Hyperbolic Matrix(192,-109,229,-130) (13/23,4/7) -> (5/6,11/13) Hyperbolic Matrix(266,-153,153,-88) (4/7,11/19) -> (19/11,7/4) Hyperbolic Matrix(456,-265,265,-154) (11/19,7/12) -> (12/7,19/11) Hyperbolic Matrix(567,-332,152,-89) (7/12,10/17) -> (26/7,15/4) Hyperbolic Matrix(2152,-1267,907,-534) (10/17,33/56) -> (64/27,19/8) Hyperbolic Matrix(5889,-3472,3472,-2047) (33/56,23/39) -> (39/23,95/56) Hyperbolic Matrix(2037,-1202,2642,-1559) (23/39,13/22) -> (37/48,27/35) Hyperbolic Matrix(264,-157,37,-22) (16/27,3/5) -> (7/1,15/2) Hyperbolic Matrix(261,-158,38,-23) (3/5,14/23) -> (20/3,7/1) Hyperbolic Matrix(2757,-1682,2162,-1319) (25/41,11/18) -> (51/40,37/29) Hyperbolic Matrix(1080,-661,781,-478) (11/18,19/31) -> (29/21,18/13) Hyperbolic Matrix(2492,-1529,929,-570) (46/75,27/44) -> (8/3,43/16) Hyperbolic Matrix(630,-389,149,-92) (8/13,21/34) -> (4/1,17/4) Hyperbolic Matrix(1002,-619,259,-160) (21/34,34/55) -> (23/6,4/1) Hyperbolic Matrix(777,-482,482,-299) (13/21,5/8) -> (29/18,21/13) Hyperbolic Matrix(331,-208,148,-93) (5/8,12/19) -> (20/9,9/4) Hyperbolic Matrix(478,-303,183,-116) (12/19,7/11) -> (13/5,21/8) Hyperbolic Matrix(952,-607,367,-234) (7/11,23/36) -> (44/17,13/5) Hyperbolic Matrix(4320,-2761,3001,-1918) (23/36,39/61) -> (59/41,36/25) Hyperbolic Matrix(6477,-4142,4502,-2879) (39/61,16/25) -> (82/57,59/41) Hyperbolic Matrix(656,-423,183,-118) (9/14,11/17) -> (25/7,18/5) Hyperbolic Matrix(73,-48,108,-71) (11/17,2/3) -> (2/3,13/19) Parabolic Matrix(1209,-830,890,-611) (13/19,11/16) -> (19/14,53/39) Hyperbolic Matrix(1419,-980,320,-221) (20/29,9/13) -> (31/7,40/9) Hyperbolic Matrix(2585,-1794,1134,-787) (9/13,25/36) -> (41/18,57/25) Hyperbolic Matrix(4320,-3001,2761,-1918) (25/36,41/59) -> (61/39,36/23) Hyperbolic Matrix(6407,-4454,2654,-1845) (41/59,16/23) -> (70/29,99/41) Hyperbolic Matrix(387,-272,212,-149) (7/10,12/17) -> (20/11,11/6) Hyperbolic Matrix(176,-125,245,-174) (12/17,5/7) -> (5/7,13/18) Parabolic Matrix(1080,-781,661,-478) (13/18,21/29) -> (31/19,18/11) Hyperbolic Matrix(592,-429,69,-50) (21/29,29/40) -> (8/1,9/1) Hyperbolic Matrix(485,-354,174,-127) (8/11,11/15) -> (25/9,14/5) Hyperbolic Matrix(900,-661,1141,-838) (11/15,25/34) -> (26/33,15/19) Hyperbolic Matrix(1383,-1018,898,-661) (25/34,14/19) -> (20/13,37/24) Hyperbolic Matrix(136,-103,103,-78) (3/4,13/17) -> (17/13,4/3) Hyperbolic Matrix(442,-339,339,-260) (13/17,10/13) -> (13/10,17/13) Hyperbolic Matrix(2102,-1619,779,-600) (10/13,37/48) -> (62/23,27/10) Hyperbolic Matrix(3115,-2406,2166,-1673) (44/57,17/22) -> (23/16,82/57) Hyperbolic Matrix(370,-289,169,-132) (7/9,18/23) -> (13/6,11/5) Hyperbolic Matrix(707,-554,134,-105) (18/23,11/14) -> (21/4,16/3) Hyperbolic Matrix(1074,-845,605,-476) (11/14,26/33) -> (39/22,16/9) Hyperbolic Matrix(1273,-1006,1006,-795) (15/19,19/24) -> (43/34,19/15) Hyperbolic Matrix(232,-187,67,-54) (4/5,13/16) -> (24/7,7/2) Hyperbolic Matrix(298,-243,363,-296) (13/16,9/11) -> (9/11,14/17) Parabolic Matrix(292,-249,129,-110) (11/13,6/7) -> (9/4,25/11) Hyperbolic Matrix(354,-305,65,-56) (6/7,13/15) -> (27/5,11/2) Hyperbolic Matrix(340,-381,141,-158) (1/1,9/8) -> (12/5,41/17) Hyperbolic Matrix(394,-445,85,-96) (9/8,8/7) -> (37/8,14/3) Hyperbolic Matrix(642,-739,139,-160) (8/7,15/13) -> (23/5,37/8) Hyperbolic Matrix(192,-229,109,-130) (13/11,6/5) -> (7/4,23/13) Hyperbolic Matrix(217,-262,82,-99) (6/5,11/9) -> (29/11,8/3) Hyperbolic Matrix(566,-695,215,-264) (11/9,16/13) -> (21/8,29/11) Hyperbolic Matrix(212,-267,27,-34) (5/4,24/19) -> (15/2,8/1) Hyperbolic Matrix(3552,-4489,2809,-3550) (24/19,67/53) -> (67/53,43/34) Parabolic Matrix(900,-1141,661,-838) (19/15,33/26) -> (34/25,15/11) Hyperbolic Matrix(1002,-1277,317,-404) (14/11,51/40) -> (22/7,19/6) Hyperbolic Matrix(340,-439,79,-102) (9/7,22/17) -> (17/4,13/3) Hyperbolic Matrix(2587,-3352,1072,-1389) (22/17,35/27) -> (41/17,70/29) Hyperbolic Matrix(2037,-2642,1202,-1559) (35/27,13/10) -> (61/36,39/23) Hyperbolic Matrix(153,-206,26,-35) (4/3,19/14) -> (23/4,6/1) Hyperbolic Matrix(15360,-20881,6001,-8158) (87/64,121/89) -> (151/59,64/25) Hyperbolic Matrix(11518,-15661,4501,-6120) (121/89,34/25) -> (87/34,151/59) Hyperbolic Matrix(984,-1357,277,-382) (11/8,40/29) -> (7/2,32/9) Hyperbolic Matrix(176,-245,125,-174) (18/13,7/5) -> (7/5,17/12) Parabolic Matrix(992,-1407,447,-634) (17/12,44/31) -> (31/14,20/9) Hyperbolic Matrix(2852,-4049,1289,-1830) (44/31,71/50) -> (42/19,31/14) Hyperbolic Matrix(1462,-2077,397,-564) (71/50,27/19) -> (11/3,48/13) Hyperbolic Matrix(320,-459,99,-142) (10/7,23/16) -> (16/5,13/4) Hyperbolic Matrix(1302,-1877,197,-284) (49/34,13/9) -> (33/5,20/3) Hyperbolic Matrix(539,-782,122,-177) (13/9,16/11) -> (22/5,31/7) Hyperbolic Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(1509,-2330,590,-911) (37/24,17/11) -> (23/9,87/34) Hyperbolic Matrix(398,-621,141,-220) (14/9,25/16) -> (14/5,17/6) Hyperbolic Matrix(2715,-4244,1124,-1757) (25/16,61/39) -> (99/41,29/12) Hyperbolic Matrix(928,-1471,511,-810) (19/12,46/29) -> (29/16,20/11) Hyperbolic Matrix(2157,-3424,904,-1435) (46/29,27/17) -> (31/13,74/31) Hyperbolic Matrix(852,-1369,529,-850) (8/5,37/23) -> (37/23,29/18) Parabolic Matrix(1491,-2410,550,-889) (21/13,55/34) -> (65/24,19/7) Hyperbolic Matrix(1788,-2893,733,-1186) (55/34,34/21) -> (39/16,22/9) Hyperbolic Matrix(936,-1525,205,-334) (13/8,44/27) -> (9/2,32/7) Hyperbolic Matrix(433,-706,46,-75) (44/27,31/19) -> (9/1,10/1) Hyperbolic Matrix(545,-894,114,-187) (18/11,23/14) -> (19/4,24/5) Hyperbolic Matrix(1294,-2127,567,-932) (23/14,51/31) -> (57/25,16/7) Hyperbolic Matrix(691,-1168,268,-453) (5/3,22/13) -> (18/7,49/19) Hyperbolic Matrix(1804,-3055,535,-906) (22/13,61/36) -> (64/19,27/8) Hyperbolic Matrix(13440,-22801,7921,-13438) (95/56,151/89) -> (151/89,56/33) Parabolic Matrix(890,-1511,311,-528) (56/33,17/10) -> (20/7,23/8) Hyperbolic Matrix(866,-1475,155,-264) (17/10,46/27) -> (11/2,28/5) Hyperbolic Matrix(1042,-1777,577,-984) (75/44,29/17) -> (9/5,38/21) Hyperbolic Matrix(906,-1613,173,-308) (16/9,57/32) -> (26/5,21/4) Hyperbolic Matrix(2912,-5189,1229,-2190) (57/32,41/23) -> (45/19,64/27) Hyperbolic Matrix(602,-1077,237,-424) (25/14,34/19) -> (5/2,28/11) Hyperbolic Matrix(3312,-5929,1849,-3310) (34/19,77/43) -> (77/43,43/24) Parabolic Matrix(2242,-4059,939,-1700) (38/21,29/16) -> (74/31,43/18) Hyperbolic Matrix(274,-507,147,-272) (24/13,13/7) -> (13/7,15/8) Parabolic Matrix(780,-1681,361,-778) (28/13,41/19) -> (41/19,13/6) Parabolic Matrix(127,-294,54,-125) (16/7,7/3) -> (7/3,26/11) Parabolic Matrix(390,-929,89,-212) (19/8,31/13) -> (13/3,22/5) Hyperbolic Matrix(778,-1861,301,-720) (43/18,12/5) -> (31/12,44/17) Hyperbolic Matrix(417,-1022,122,-299) (22/9,5/2) -> (41/12,24/7) Hyperbolic Matrix(2190,-5609,809,-2072) (64/25,41/16) -> (46/17,65/24) Hyperbolic Matrix(740,-1899,219,-562) (41/16,18/7) -> (27/8,44/13) Hyperbolic Matrix(177,-484,64,-175) (19/7,11/4) -> (11/4,25/9) Parabolic Matrix(46,-135,15,-44) (23/8,3/1) -> (3/1,22/7) Parabolic Matrix(662,-2219,179,-600) (10/3,47/14) -> (48/13,37/10) Hyperbolic Matrix(258,-881,41,-140) (17/5,41/12) -> (6/1,19/3) Hyperbolic Matrix(612,-2209,169,-610) (18/5,47/13) -> (47/13,29/8) Parabolic Matrix(540,-2401,121,-538) (40/9,49/11) -> (49/11,9/2) Parabolic Matrix(51,-250,10,-49) (24/5,5/1) -> (5/1,26/5) Parabolic Matrix(154,-867,27,-152) (28/5,17/3) -> (17/3,23/4) Parabolic Matrix(105,-676,16,-103) (19/3,13/2) -> (13/2,33/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(0,-1,1,2) -> Matrix(1,0,27,1) Matrix(433,-46,706,-75) -> Matrix(3,4,-28,-37) Matrix(592,-69,429,-50) -> Matrix(1,0,-13,1) Matrix(212,-27,267,-34) -> Matrix(1,0,-9,1) Matrix(952,-129,369,-50) -> Matrix(1,4,-19,-75) Matrix(261,-38,158,-23) -> Matrix(1,0,-14,1) Matrix(1195,-186,726,-113) -> Matrix(17,8,-270,-127) Matrix(104,-17,257,-42) -> Matrix(9,4,-61,-27) Matrix(153,-26,206,-35) -> Matrix(1,0,-8,1) Matrix(714,-127,967,-172) -> Matrix(1,0,-9,1) Matrix(1322,-237,357,-64) -> Matrix(9,4,-187,-83) Matrix(354,-65,305,-56) -> Matrix(1,0,-11,1) Matrix(1264,-235,355,-66) -> Matrix(11,4,-223,-81) Matrix(707,-134,554,-105) -> Matrix(11,4,-146,-53) Matrix(545,-114,894,-187) -> Matrix(1,0,-6,1) Matrix(545,-116,296,-63) -> Matrix(15,4,-244,-65) Matrix(394,-85,445,-96) -> Matrix(1,0,-9,1) Matrix(642,-139,739,-160) -> Matrix(13,4,-153,-47) Matrix(1380,-301,541,-118) -> Matrix(27,8,-503,-149) Matrix(936,-205,1525,-334) -> Matrix(15,4,-139,-37) Matrix(539,-122,782,-177) -> Matrix(15,4,-154,-41) Matrix(390,-89,929,-212) -> Matrix(17,4,-115,-27) Matrix(340,-79,439,-102) -> Matrix(15,4,-169,-45) Matrix(630,-149,389,-92) -> Matrix(13,4,-205,-63) Matrix(809,-212,332,-87) -> Matrix(1,0,-14,1) Matrix(806,-213,333,-88) -> Matrix(19,4,-347,-73) Matrix(567,-152,332,-89) -> Matrix(33,8,-524,-127) Matrix(517,-142,142,-39) -> Matrix(35,8,-722,-165) Matrix(656,-183,423,-118) -> Matrix(37,8,-569,-123) Matrix(1264,-355,235,-66) -> Matrix(19,4,-423,-89) Matrix(984,-277,1357,-382) -> Matrix(19,4,-195,-41) Matrix(232,-67,187,-54) -> Matrix(1,0,-9,1) Matrix(417,-122,1022,-299) -> Matrix(1,0,-2,1) Matrix(694,-205,325,-96) -> Matrix(37,8,-643,-139) Matrix(740,-219,1899,-562) -> Matrix(55,12,-353,-77) Matrix(3239,-962,1202,-357) -> Matrix(151,32,-2836,-601) Matrix(3236,-963,1203,-358) -> Matrix(77,16,-1439,-299) Matrix(2912,-869,1709,-510) -> Matrix(1,0,-11,1) Matrix(460,-139,139,-42) -> Matrix(59,12,-1185,-241) Matrix(598,-183,183,-56) -> Matrix(81,16,-1615,-319) Matrix(320,-99,459,-142) -> Matrix(21,4,-205,-39) Matrix(731,-230,410,-129) -> Matrix(23,4,-374,-65) Matrix(843,-296,356,-125) -> Matrix(47,8,-852,-145) Matrix(398,-141,621,-220) -> Matrix(23,4,-213,-37) Matrix(485,-174,354,-127) -> Matrix(47,8,-664,-113) Matrix(659,-242,482,-177) -> Matrix(49,8,-680,-111) Matrix(1491,-550,2410,-889) -> Matrix(99,16,-922,-149) Matrix(744,-275,395,-146) -> Matrix(49,8,-827,-135) Matrix(3239,-1202,962,-357) -> Matrix(199,32,-4036,-649) Matrix(3236,-1203,963,-358) -> Matrix(101,16,-2039,-323) Matrix(438,-163,43,-16) -> Matrix(25,4,-619,-99) Matrix(217,-82,262,-99) -> Matrix(25,4,-294,-47) Matrix(478,-183,303,-116) -> Matrix(1,0,-9,1) Matrix(952,-367,607,-234) -> Matrix(25,4,-369,-59) Matrix(778,-301,1861,-720) -> Matrix(49,8,-337,-55) Matrix(691,-268,1168,-453) -> Matrix(101,16,-928,-147) Matrix(4402,-1719,7119,-2780) -> Matrix(1,0,-3,1) Matrix(5393,-2108,3968,-1551) -> Matrix(51,8,-746,-117) Matrix(1380,-541,301,-118) -> Matrix(51,8,-1103,-173) Matrix(602,-237,1077,-424) -> Matrix(129,20,-1103,-171) Matrix(809,-332,212,-87) -> Matrix(1,0,-14,1) Matrix(806,-333,213,-88) -> Matrix(27,4,-547,-81) Matrix(2587,-1072,3352,-1389) -> Matrix(55,8,-612,-89) Matrix(340,-141,381,-158) -> Matrix(27,4,-331,-49) Matrix(1775,-744,804,-337) -> Matrix(109,16,-1928,-283) Matrix(127,-54,294,-125) -> Matrix(83,12,-588,-85) Matrix(711,-310,250,-109) -> Matrix(29,4,-544,-75) Matrix(2585,-1134,1794,-787) -> Matrix(29,4,-370,-51) Matrix(1918,-843,1083,-476) -> Matrix(231,32,-3761,-521) Matrix(292,-129,249,-110) -> Matrix(29,4,-399,-55) Matrix(331,-148,208,-93) -> Matrix(1,0,-8,1) Matrix(370,-169,289,-132) -> Matrix(29,4,-399,-55) Matrix(615,-286,286,-133) -> Matrix(121,16,-2110,-279) Matrix(694,-325,205,-96) -> Matrix(61,8,-1243,-163) Matrix(744,-395,275,-146) -> Matrix(65,8,-1227,-151) Matrix(742,-397,157,-84) -> Matrix(67,8,-1449,-173) Matrix(545,-296,116,-63) -> Matrix(35,4,-744,-85) Matrix(387,-212,272,-149) -> Matrix(1,0,-6,1) Matrix(693,-386,386,-215) -> Matrix(1,0,-8,1) Matrix(731,-410,230,-129) -> Matrix(35,4,-674,-77) Matrix(1074,-605,845,-476) -> Matrix(35,4,-429,-49) Matrix(1918,-1083,843,-476) -> Matrix(279,32,-4961,-569) Matrix(192,-109,229,-130) -> Matrix(35,4,-429,-49) Matrix(266,-153,153,-88) -> Matrix(107,12,-1721,-193) Matrix(456,-265,265,-154) -> Matrix(181,20,-2887,-319) Matrix(567,-332,152,-89) -> Matrix(73,8,-1524,-167) Matrix(2152,-1267,907,-534) -> Matrix(1,0,-9,1) Matrix(5889,-3472,3472,-2047) -> Matrix(221,24,-3490,-379) Matrix(2037,-1202,2642,-1559) -> Matrix(1,0,-2,1) Matrix(264,-157,37,-22) -> Matrix(37,4,-879,-95) Matrix(261,-158,38,-23) -> Matrix(1,0,-14,1) Matrix(2757,-1682,2162,-1319) -> Matrix(1,0,-4,1) Matrix(1080,-661,781,-478) -> Matrix(1,0,-5,1) Matrix(2492,-1529,929,-570) -> Matrix(75,8,-1397,-149) Matrix(630,-389,149,-92) -> Matrix(37,4,-805,-87) Matrix(1002,-619,259,-160) -> Matrix(75,8,-1547,-165) Matrix(777,-482,482,-299) -> Matrix(151,16,-2350,-249) Matrix(331,-208,148,-93) -> Matrix(1,0,-8,1) Matrix(478,-303,183,-116) -> Matrix(1,0,-9,1) Matrix(952,-607,367,-234) -> Matrix(41,4,-769,-75) Matrix(4320,-2761,3001,-1918) -> Matrix(1,0,-3,1) Matrix(6477,-4142,4502,-2879) -> Matrix(1,0,-10,1) Matrix(656,-423,183,-118) -> Matrix(77,8,-1569,-163) Matrix(73,-48,108,-71) -> Matrix(39,4,-400,-41) Matrix(1209,-830,890,-611) -> Matrix(1,0,-4,1) Matrix(1419,-980,320,-221) -> Matrix(43,4,-914,-85) Matrix(2585,-1794,1134,-787) -> Matrix(49,4,-870,-71) Matrix(4320,-3001,2761,-1918) -> Matrix(1,0,-3,1) Matrix(6407,-4454,2654,-1845) -> Matrix(31,4,-566,-73) Matrix(387,-272,212,-149) -> Matrix(1,0,-6,1) Matrix(176,-125,245,-174) -> Matrix(41,4,-441,-43) Matrix(1080,-781,661,-478) -> Matrix(1,0,-5,1) Matrix(592,-429,69,-50) -> Matrix(1,0,-13,1) Matrix(485,-354,174,-127) -> Matrix(87,8,-1664,-153) Matrix(900,-661,1141,-838) -> Matrix(1,0,-1,1) Matrix(1383,-1018,898,-661) -> Matrix(43,4,-656,-61) Matrix(136,-103,103,-78) -> Matrix(43,4,-613,-57) Matrix(442,-339,339,-260) -> Matrix(133,12,-1851,-167) Matrix(2102,-1619,779,-600) -> Matrix(269,24,-5055,-451) Matrix(3115,-2406,2166,-1673) -> Matrix(45,4,-754,-67) Matrix(370,-289,169,-132) -> Matrix(45,4,-799,-71) Matrix(707,-554,134,-105) -> Matrix(47,4,-1046,-89) Matrix(1074,-845,605,-476) -> Matrix(51,4,-829,-65) Matrix(1273,-1006,1006,-795) -> Matrix(1,0,0,1) Matrix(232,-187,67,-54) -> Matrix(1,0,-9,1) Matrix(298,-243,363,-296) -> Matrix(45,4,-529,-47) Matrix(292,-249,129,-110) -> Matrix(45,4,-799,-71) Matrix(354,-305,65,-56) -> Matrix(1,0,-11,1) Matrix(340,-381,141,-158) -> Matrix(51,4,-931,-73) Matrix(394,-445,85,-96) -> Matrix(1,0,-9,1) Matrix(642,-739,139,-160) -> Matrix(53,4,-1153,-87) Matrix(192,-229,109,-130) -> Matrix(51,4,-829,-65) Matrix(217,-262,82,-99) -> Matrix(53,4,-994,-75) Matrix(566,-695,215,-264) -> Matrix(1,0,-5,1) Matrix(212,-267,27,-34) -> Matrix(1,0,-9,1) Matrix(3552,-4489,2809,-3550) -> Matrix(1,0,9,1) Matrix(900,-1141,661,-838) -> Matrix(1,0,-1,1) Matrix(1002,-1277,317,-404) -> Matrix(53,4,-1047,-79) Matrix(340,-439,79,-102) -> Matrix(55,4,-1169,-85) Matrix(2587,-3352,1072,-1389) -> Matrix(111,8,-2012,-145) Matrix(2037,-2642,1202,-1559) -> Matrix(1,0,-2,1) Matrix(153,-206,26,-35) -> Matrix(1,0,-8,1) Matrix(15360,-20881,6001,-8158) -> Matrix(57,4,-1069,-75) Matrix(11518,-15661,4501,-6120) -> Matrix(123,8,-2291,-149) Matrix(984,-1357,277,-382) -> Matrix(59,4,-1195,-81) Matrix(176,-245,125,-174) -> Matrix(57,4,-841,-59) Matrix(992,-1407,447,-634) -> Matrix(1,0,-3,1) Matrix(2852,-4049,1289,-1830) -> Matrix(61,4,-1083,-71) Matrix(1462,-2077,397,-564) -> Matrix(57,4,-1183,-83) Matrix(320,-459,99,-142) -> Matrix(61,4,-1205,-79) Matrix(1302,-1877,197,-284) -> Matrix(55,4,-1279,-93) Matrix(539,-782,122,-177) -> Matrix(59,4,-1254,-85) Matrix(73,-108,48,-71) -> Matrix(59,4,-900,-61) Matrix(1509,-2330,590,-911) -> Matrix(185,12,-3438,-223) Matrix(398,-621,141,-220) -> Matrix(63,4,-1213,-77) Matrix(2715,-4244,1124,-1757) -> Matrix(71,4,-1296,-73) Matrix(928,-1471,511,-810) -> Matrix(1,0,-1,1) Matrix(2157,-3424,904,-1435) -> Matrix(245,16,-4456,-291) Matrix(852,-1369,529,-850) -> Matrix(433,28,-6727,-435) Matrix(1491,-2410,550,-889) -> Matrix(251,16,-4722,-301) Matrix(1788,-2893,733,-1186) -> Matrix(125,8,-2297,-147) Matrix(936,-1525,205,-334) -> Matrix(63,4,-1339,-85) Matrix(433,-706,46,-75) -> Matrix(63,4,-1528,-97) Matrix(545,-894,114,-187) -> Matrix(1,0,-6,1) Matrix(1294,-2127,567,-932) -> Matrix(251,16,-4471,-285) Matrix(691,-1168,268,-453) -> Matrix(253,16,-4728,-299) Matrix(1804,-3055,535,-906) -> Matrix(125,8,-2547,-163) Matrix(13440,-22801,7921,-13438) -> Matrix(569,36,-9025,-571) Matrix(890,-1511,311,-528) -> Matrix(127,8,-2429,-153) Matrix(866,-1475,155,-264) -> Matrix(63,4,-1465,-93) Matrix(1042,-1777,577,-984) -> Matrix(63,4,-1087,-69) Matrix(906,-1613,173,-308) -> Matrix(65,4,-1479,-91) Matrix(2912,-5189,1229,-2190) -> Matrix(261,16,-4747,-291) Matrix(602,-1077,237,-424) -> Matrix(329,20,-6103,-371) Matrix(3312,-5929,1849,-3310) -> Matrix(857,52,-14157,-859) Matrix(2242,-4059,939,-1700) -> Matrix(59,4,-1077,-73) Matrix(274,-507,147,-272) -> Matrix(197,12,-3267,-199) Matrix(780,-1681,361,-778) -> Matrix(769,44,-13475,-771) Matrix(127,-294,54,-125) -> Matrix(215,12,-3888,-217) Matrix(390,-929,89,-212) -> Matrix(73,4,-1515,-83) Matrix(778,-1861,301,-720) -> Matrix(145,8,-2737,-151) Matrix(417,-1022,122,-299) -> Matrix(1,0,-2,1) Matrix(2190,-5609,809,-2072) -> Matrix(299,16,-5625,-301) Matrix(740,-1899,219,-562) -> Matrix(223,12,-4553,-245) Matrix(177,-484,64,-175) -> Matrix(303,16,-5776,-305) Matrix(46,-135,15,-44) -> Matrix(77,4,-1521,-79) Matrix(662,-2219,179,-600) -> Matrix(161,8,-3361,-167) Matrix(258,-881,41,-140) -> Matrix(81,4,-1843,-91) Matrix(612,-2209,169,-610) -> Matrix(737,36,-15129,-739) Matrix(540,-2401,121,-538) -> Matrix(257,12,-5547,-259) Matrix(51,-250,10,-49) -> Matrix(87,4,-1936,-89) Matrix(154,-867,27,-152) -> Matrix(1,0,1,1) Matrix(105,-676,16,-103) -> Matrix(183,8,-4232,-185) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 64 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d -1/1 0/1 27 1 1/1 (-2/25,0/1) 0 15 9/8 (-1/12,0/1) 0 30 8/7 -1/13 2 2 15/13 -2/27 1 15 7/6 (-1/13,-2/27) 0 30 13/11 0/1 3 5 6/5 (-1/13,-2/27) 0 30 11/9 -2/27 1 3 16/13 (-2/27,-1/14) 0 30 5/4 -1/14 2 10 24/19 (-1/17,0/1) 0 30 67/53 0/1 9 1 19/15 (-2/25,0/1) 0 15 33/26 (-1/14,0/1) 0 30 14/11 -1/13 2 6 23/18 (-5/67,-2/27) 0 30 9/7 -2/27 1 15 22/17 -3/41 2 10 35/27 (-4/55,-6/83) 0 15 13/10 (-6/83,-1/14) 0 30 17/13 -1/14 8 1 4/3 (-1/14,-2/29) 0 30 19/14 -1/14 2 10 34/25 (-1/15,0/1) 0 30 15/11 (-2/27,0/1) 0 15 11/8 (-3/43,-2/29) 0 30 40/29 -1/15 2 10 29/21 -1/14 2 3 18/13 (-1/14,-2/29) 0 30 7/5 -2/29 1 5 17/12 (-2/29,-1/15) 0 30 10/7 (-4/59,-1/15) 0 30 23/16 -1/16 2 10 59/41 0/1 7 3 36/25 (-1/13,0/1) 0 30 13/9 (-2/29,0/1) 0 15 16/11 -1/15 2 10 3/2 -1/15 2 6 20/13 -1/15 2 10 37/24 (-4/61,-3/46) 0 30 17/11 -2/31 1 15 14/9 (-2/31,-3/47) 0 30 25/16 (-2/33,-1/17) 0 30 61/39 0/1 7 3 36/23 (-1/15,0/1) 0 30 11/7 -1/15 2 5 19/12 (-1/15,-2/31) 0 30 8/5 (-3/46,-2/31) 0 30 37/23 -2/31 7 1 21/13 (-2/31,-8/125) 0 15 55/34 (-2/31,-3/47) 0 30 34/21 -3/47 2 6 13/8 -1/16 2 10 44/27 (-2/31,-3/47) 0 30 31/19 -1/16 2 3 18/11 (-2/31,-1/16) 0 30 23/14 (-2/31,-1/16) 0 30 5/3 -2/31 1 15 22/13 -1/16 2 6 61/36 (-6/95,-1/16) 0 30 39/23 (-4/63,-6/95) 0 15 151/89 -6/95 1 1 56/33 (-6/95,-1/16) 0 30 17/10 -1/16 2 10 12/7 (-10/159,-1/16) 0 30 19/11 -1/16 16 1 7/4 (-1/16,-6/97) 0 30 23/13 -4/65 3 5 39/22 (-4/65,-7/114) 0 30 16/9 -3/49 2 6 25/14 -5/82 2 10 34/19 (-13/214,-2/33) 0 30 77/43 -2/33 13 1 9/5 (-2/33,0/1) 0 15 38/21 (-1/15,0/1) 0 30 29/16 -1/16 2 2 20/11 (-1/16,-2/33) 0 30 11/6 (-1/16,-4/65) 0 30 13/7 -2/33 3 3 15/8 (-2/33,-3/50) 0 30 2/1 -1/17 2 10 15/7 (-8/139,-2/35) 0 15 41/19 -2/35 11 1 13/6 (-2/35,-7/123) 0 30 11/5 -2/35 1 15 31/14 -1/18 2 2 20/9 (-2/35,-1/18) 0 30 9/4 (-2/35,-3/53) 0 30 25/11 -4/71 3 5 41/18 (-4/71,-1/18) 0 30 57/25 (-4/71,-14/249) 0 15 16/7 (-5/89,-6/107) 0 30 7/3 -1/18 6 3 26/11 (-7/127,-6/109) 0 30 19/8 -1/18 2 10 31/13 -6/109 1 15 74/31 -5/91 2 2 43/18 (-1/18,-4/73) 0 30 12/5 (-4/73,-3/55) 0 30 41/17 (-4/73,-2/37) 0 15 70/29 -5/91 2 10 99/41 -4/73 7 3 29/12 (-10/183,-3/55) 0 30 17/7 -2/37 1 5 22/9 (-1/18,-2/37) 0 30 5/2 (-3/55,-2/37) 0 30 28/11 -5/93 2 10 23/9 -2/37 1 15 87/34 (-8/149,-3/56) 0 30 151/59 -3/56 2 1 64/25 (-2/37,-3/56) 0 30 41/16 -3/56 2 10 18/7 -3/56 2 6 49/19 -10/187 1 15 31/12 (-4/75,-5/94) 0 30 44/17 (-4/75,-1/19) 0 30 13/5 -1/19 2 5 21/8 (-2/37,-1/19) 0 30 29/11 -2/37 1 3 8/3 (-2/37,-1/19) 0 30 43/16 (-4/75,-5/94) 0 30 35/13 -4/75 3 5 27/10 (-5/94,-6/113) 0 30 46/17 -1/19 2 10 65/24 (-6/113,-1/19) 0 30 19/7 (-6/113,-8/151) 0 15 11/4 -1/19 8 2 25/9 (-10/191,-8/153) 0 15 14/5 (-6/115,-5/96) 0 30 17/6 (-2/39,-1/20) 0 30 20/7 -1/19 2 10 23/8 (-1/19,-2/39) 0 30 3/1 -2/39 1 15 22/7 (-2/39,-1/20) 0 30 19/6 -1/20 2 6 16/5 -3/59 2 10 13/4 (-8/159,-1/20) 0 30 23/7 -1/20 14 1 10/3 (-1/20,-6/121) 0 30 47/14 (-9/182,-4/81) 0 30 37/11 -4/81 3 5 64/19 (-10/203,-3/61) 0 30 27/8 -3/61 2 6 44/13 -3/61 2 10 17/5 (-2/41,0/1) 0 15 41/12 (-3/61,-2/41) 0 30 24/7 (-1/20,-2/41) 0 30 7/2 -1/20 2 10 32/9 (-5/102,-2/41) 0 30 25/7 -2/41 1 15 18/5 (-7/143,-2/41) 0 30 47/13 -2/41 9 1 11/3 (-2/41,-4/83) 0 15 48/13 (-7/145,-4/83) 0 30 37/10 (-2/41,-1/21) 0 30 26/7 -1/21 2 10 15/4 (-1/21,-2/43) 0 30 19/5 -2/41 1 5 23/6 (-2/41,-1/21) 0 30 4/1 -1/21 2 6 17/4 -1/22 2 10 13/3 -2/43 1 15 22/5 -1/21 2 10 31/7 (-4/85,-2/43) 0 15 49/11 -2/43 3 1 9/2 (-2/43,-1/22) 0 30 32/7 -1/21 2 10 23/5 -2/43 1 15 37/8 -1/22 2 2 14/3 (-1/21,0/1) 0 30 33/7 -2/43 3 3 19/4 (-2/43,-1/22) 0 30 24/5 (-2/43,-1/22) 0 30 5/1 -1/22 2 5 26/5 (-1/22,-2/45) 0 30 21/4 -1/22 2 6 16/3 (-2/45,-3/68) 0 30 27/5 -2/45 1 15 11/2 (-2/45,-1/23) 0 30 28/5 -1/23 2 10 17/3 0/1 1 3 23/4 -1/22 2 10 6/1 (-1/22,-2/45) 0 30 19/3 (-2/45,-4/91) 0 15 13/2 -1/23 4 2 33/5 (-6/139,-4/93) 0 15 20/3 (-1/23,-2/47) 0 30 7/1 -2/47 1 15 15/2 (-1/26,0/1) 0 30 8/1 -1/23 2 10 9/1 -1/24 2 3 10/1 (-2/49,-1/25) 0 30 1/0 (-1/26,0/1) 0 30 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(0,1,1,0) (-1/1,1/1) -> (-1/1,1/1) Reflection Matrix(340,-381,141,-158) (1/1,9/8) -> (12/5,41/17) Hyperbolic Matrix(394,-445,85,-96) (9/8,8/7) -> (37/8,14/3) Hyperbolic Matrix(642,-739,139,-160) (8/7,15/13) -> (23/5,37/8) Hyperbolic Matrix(305,-354,56,-65) (15/13,7/6) -> (27/5,11/2) Glide Reflection Matrix(249,-292,110,-129) (7/6,13/11) -> (9/4,25/11) Glide Reflection Matrix(192,-229,109,-130) (13/11,6/5) -> (7/4,23/13) Hyperbolic Matrix(217,-262,82,-99) (6/5,11/9) -> (29/11,8/3) Hyperbolic Matrix(566,-695,215,-264) (11/9,16/13) -> (21/8,29/11) Hyperbolic Matrix(187,-232,54,-67) (16/13,5/4) -> (24/7,7/2) Glide Reflection Matrix(212,-267,27,-34) (5/4,24/19) -> (15/2,8/1) Hyperbolic Matrix(2545,-3216,2014,-2545) (24/19,67/53) -> (24/19,67/53) Reflection Matrix(1006,-1273,795,-1006) (67/53,19/15) -> (67/53,19/15) Reflection Matrix(900,-1141,661,-838) (19/15,33/26) -> (34/25,15/11) Hyperbolic Matrix(845,-1074,476,-605) (33/26,14/11) -> (39/22,16/9) Glide Reflection Matrix(554,-707,105,-134) (14/11,23/18) -> (21/4,16/3) Glide Reflection Matrix(289,-370,132,-169) (23/18,9/7) -> (13/6,11/5) Glide Reflection Matrix(340,-439,79,-102) (9/7,22/17) -> (17/4,13/3) Hyperbolic Matrix(2587,-3352,1072,-1389) (22/17,35/27) -> (41/17,70/29) Hyperbolic Matrix(2037,-2642,1202,-1559) (35/27,13/10) -> (61/36,39/23) Hyperbolic Matrix(339,-442,260,-339) (13/10,17/13) -> (13/10,17/13) Reflection Matrix(103,-136,78,-103) (17/13,4/3) -> (17/13,4/3) Reflection Matrix(153,-206,26,-35) (4/3,19/14) -> (23/4,6/1) Hyperbolic Matrix(1018,-1383,661,-898) (19/14,34/25) -> (20/13,37/24) Glide Reflection Matrix(354,-485,127,-174) (15/11,11/8) -> (25/9,14/5) Glide Reflection Matrix(984,-1357,277,-382) (11/8,40/29) -> (7/2,32/9) Hyperbolic Matrix(429,-592,50,-69) (40/29,29/21) -> (8/1,9/1) Glide Reflection Matrix(781,-1080,478,-661) (29/21,18/13) -> (31/19,18/11) Glide Reflection Matrix(176,-245,125,-174) (18/13,7/5) -> (7/5,17/12) Parabolic Matrix(272,-387,149,-212) (17/12,10/7) -> (20/11,11/6) Glide Reflection Matrix(320,-459,99,-142) (10/7,23/16) -> (16/5,13/4) Hyperbolic Matrix(4454,-6407,1845,-2654) (23/16,59/41) -> (70/29,99/41) Glide Reflection Matrix(3001,-4320,1918,-2761) (59/41,36/25) -> (61/39,36/23) Glide Reflection Matrix(1794,-2585,787,-1134) (36/25,13/9) -> (41/18,57/25) Glide Reflection Matrix(539,-782,122,-177) (13/9,16/11) -> (22/5,31/7) Hyperbolic Matrix(73,-108,48,-71) (16/11,3/2) -> (3/2,20/13) Parabolic Matrix(1509,-2330,590,-911) (37/24,17/11) -> (23/9,87/34) Hyperbolic Matrix(423,-656,118,-183) (17/11,14/9) -> (25/7,18/5) Glide Reflection Matrix(398,-621,141,-220) (14/9,25/16) -> (14/5,17/6) Hyperbolic Matrix(2715,-4244,1124,-1757) (25/16,61/39) -> (99/41,29/12) Hyperbolic Matrix(607,-952,234,-367) (36/23,11/7) -> (44/17,13/5) Glide Reflection Matrix(303,-478,116,-183) (11/7,19/12) -> (13/5,21/8) Glide Reflection Matrix(208,-331,93,-148) (19/12,8/5) -> (20/9,9/4) Glide Reflection Matrix(369,-592,230,-369) (8/5,37/23) -> (8/5,37/23) Reflection Matrix(482,-777,299,-482) (37/23,21/13) -> (37/23,21/13) Reflection Matrix(1491,-2410,550,-889) (21/13,55/34) -> (65/24,19/7) Hyperbolic Matrix(619,-1002,160,-259) (55/34,34/21) -> (23/6,4/1) Glide Reflection Matrix(389,-630,92,-149) (34/21,13/8) -> (4/1,17/4) Glide Reflection Matrix(936,-1525,205,-334) (13/8,44/27) -> (9/2,32/7) Hyperbolic Matrix(433,-706,46,-75) (44/27,31/19) -> (9/1,10/1) Hyperbolic Matrix(545,-894,114,-187) (18/11,23/14) -> (19/4,24/5) Hyperbolic Matrix(158,-261,23,-38) (23/14,5/3) -> (20/3,7/1) Glide Reflection Matrix(691,-1168,268,-453) (5/3,22/13) -> (18/7,49/19) Hyperbolic Matrix(1804,-3055,535,-906) (22/13,61/36) -> (64/19,27/8) Hyperbolic Matrix(3472,-5889,2047,-3472) (39/23,151/89) -> (39/23,151/89) Reflection Matrix(9967,-16912,5874,-9967) (151/89,56/33) -> (151/89,56/33) Reflection Matrix(890,-1511,311,-528) (56/33,17/10) -> (20/7,23/8) Hyperbolic Matrix(332,-567,89,-152) (17/10,12/7) -> (26/7,15/4) Glide Reflection Matrix(265,-456,154,-265) (12/7,19/11) -> (12/7,19/11) Reflection Matrix(153,-266,88,-153) (19/11,7/4) -> (19/11,7/4) Reflection Matrix(1083,-1918,476,-843) (23/13,39/22) -> (25/11,41/18) Glide Reflection Matrix(410,-731,129,-230) (16/9,25/14) -> (19/6,16/5) Glide Reflection Matrix(602,-1077,237,-424) (25/14,34/19) -> (5/2,28/11) Hyperbolic Matrix(2925,-5236,1634,-2925) (34/19,77/43) -> (34/19,77/43) Reflection Matrix(386,-693,215,-386) (77/43,9/5) -> (77/43,9/5) Reflection Matrix(471,-850,128,-231) (9/5,38/21) -> (11/3,48/13) Glide Reflection Matrix(2242,-4059,939,-1700) (38/21,29/16) -> (74/31,43/18) Hyperbolic Matrix(661,-1200,298,-541) (29/16,20/11) -> (31/14,20/9) Glide Reflection Matrix(296,-545,63,-116) (11/6,13/7) -> (14/3,33/7) Glide Reflection Matrix(397,-742,84,-157) (13/7,15/8) -> (33/7,19/4) Glide Reflection Matrix(395,-744,146,-275) (15/8,2/1) -> (27/10,46/17) Glide Reflection Matrix(325,-694,96,-205) (2/1,15/7) -> (44/13,17/5) Glide Reflection Matrix(286,-615,133,-286) (15/7,41/19) -> (15/7,41/19) Reflection Matrix(493,-1066,228,-493) (41/19,13/6) -> (41/19,13/6) Reflection Matrix(804,-1775,337,-744) (11/5,31/14) -> (31/13,74/31) Glide Reflection Matrix(731,-1668,110,-251) (57/25,16/7) -> (33/5,20/3) Glide Reflection Matrix(127,-294,54,-125) (16/7,7/3) -> (7/3,26/11) Parabolic Matrix(356,-843,125,-296) (26/11,19/8) -> (17/6,20/7) Glide Reflection Matrix(390,-929,89,-212) (19/8,31/13) -> (13/3,22/5) Hyperbolic Matrix(778,-1861,301,-720) (43/18,12/5) -> (31/12,44/17) Hyperbolic Matrix(333,-806,88,-213) (29/12,17/7) -> (15/4,19/5) Glide Reflection Matrix(332,-809,87,-212) (17/7,22/9) -> (19/5,23/6) Glide Reflection Matrix(417,-1022,122,-299) (22/9,5/2) -> (41/12,24/7) Hyperbolic Matrix(541,-1380,118,-301) (28/11,23/9) -> (32/7,23/5) Glide Reflection Matrix(10267,-26274,4012,-10267) (87/34,151/59) -> (87/34,151/59) Reflection Matrix(7551,-19328,2950,-7551) (151/59,64/25) -> (151/59,64/25) Reflection Matrix(2190,-5609,809,-2072) (64/25,41/16) -> (46/17,65/24) Hyperbolic Matrix(740,-1899,219,-562) (41/16,18/7) -> (27/8,44/13) Hyperbolic Matrix(369,-952,50,-129) (49/19,31/12) -> (7/1,15/2) Glide Reflection Matrix(163,-438,16,-43) (8/3,43/16) -> (10/1,1/0) Glide Reflection Matrix(1203,-3236,358,-963) (43/16,35/13) -> (47/14,37/11) Glide Reflection Matrix(1202,-3239,357,-962) (35/13,27/10) -> (37/11,64/19) Glide Reflection Matrix(177,-484,64,-175) (19/7,11/4) -> (11/4,25/9) Parabolic Matrix(46,-135,15,-44) (23/8,3/1) -> (3/1,22/7) Parabolic Matrix(303,-956,58,-183) (22/7,19/6) -> (26/5,21/4) Glide Reflection Matrix(183,-598,56,-183) (13/4,23/7) -> (13/4,23/7) Reflection Matrix(139,-460,42,-139) (23/7,10/3) -> (23/7,10/3) Reflection Matrix(662,-2219,179,-600) (10/3,47/14) -> (48/13,37/10) Hyperbolic Matrix(258,-881,41,-140) (17/5,41/12) -> (6/1,19/3) Hyperbolic Matrix(355,-1264,66,-235) (32/9,25/7) -> (16/3,27/5) Glide Reflection Matrix(469,-1692,130,-469) (18/5,47/13) -> (18/5,47/13) Reflection Matrix(142,-517,39,-142) (47/13,11/3) -> (47/13,11/3) Reflection Matrix(357,-1322,64,-237) (37/10,26/7) -> (11/2,28/5) Glide Reflection Matrix(342,-1519,77,-342) (31/7,49/11) -> (31/7,49/11) Reflection Matrix(197,-882,44,-197) (49/11,9/2) -> (49/11,9/2) Reflection Matrix(51,-250,10,-49) (24/5,5/1) -> (5/1,26/5) Parabolic Matrix(154,-867,27,-152) (28/5,17/3) -> (17/3,23/4) Parabolic Matrix(105,-676,16,-103) (19/3,13/2) -> (13/2,33/5) Parabolic IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(-1,0,52,1) (-1/1,1/0) -> (-1/26,0/1) Matrix(0,1,1,0) -> Matrix(-1,0,25,1) (-1/1,1/1) -> (-2/25,0/1) Matrix(340,-381,141,-158) -> Matrix(51,4,-931,-73) Matrix(394,-445,85,-96) -> Matrix(1,0,-9,1) 0/1 Matrix(642,-739,139,-160) -> Matrix(53,4,-1153,-87) Matrix(305,-354,56,-65) -> Matrix(-1,0,36,1) *** -> (-1/18,0/1) Matrix(249,-292,110,-129) -> Matrix(55,4,-976,-71) Matrix(192,-229,109,-130) -> Matrix(51,4,-829,-65) Matrix(217,-262,82,-99) -> Matrix(53,4,-994,-75) Matrix(566,-695,215,-264) -> Matrix(1,0,-5,1) 0/1 Matrix(187,-232,54,-67) -> Matrix(-1,0,34,1) *** -> (-1/17,0/1) Matrix(212,-267,27,-34) -> Matrix(1,0,-9,1) 0/1 Matrix(2545,-3216,2014,-2545) -> Matrix(-1,0,34,1) (24/19,67/53) -> (-1/17,0/1) Matrix(1006,-1273,795,-1006) -> Matrix(-1,0,25,1) (67/53,19/15) -> (-2/25,0/1) Matrix(900,-1141,661,-838) -> Matrix(1,0,-1,1) 0/1 Matrix(845,-1074,476,-605) -> Matrix(49,4,-796,-65) Matrix(554,-707,105,-134) -> Matrix(53,4,-1179,-89) Matrix(289,-370,132,-169) -> Matrix(55,4,-976,-71) Matrix(340,-439,79,-102) -> Matrix(55,4,-1169,-85) Matrix(2587,-3352,1072,-1389) -> Matrix(111,8,-2012,-145) Matrix(2037,-2642,1202,-1559) -> Matrix(1,0,-2,1) 0/1 Matrix(339,-442,260,-339) -> Matrix(167,12,-2324,-167) (13/10,17/13) -> (-6/83,-1/14) Matrix(103,-136,78,-103) -> Matrix(57,4,-812,-57) (17/13,4/3) -> (-1/14,-2/29) Matrix(153,-206,26,-35) -> Matrix(1,0,-8,1) 0/1 Matrix(1018,-1383,661,-898) -> Matrix(57,4,-869,-61) Matrix(354,-485,127,-174) -> Matrix(113,8,-2161,-153) Matrix(984,-1357,277,-382) -> Matrix(59,4,-1195,-81) Matrix(429,-592,50,-69) -> Matrix(-1,0,38,1) *** -> (-1/19,0/1) Matrix(781,-1080,478,-661) -> Matrix(-1,0,30,1) *** -> (-1/15,0/1) Matrix(176,-245,125,-174) -> Matrix(57,4,-841,-59) -2/29 Matrix(272,-387,149,-212) -> Matrix(-1,0,31,1) *** -> (-2/31,0/1) Matrix(320,-459,99,-142) -> Matrix(61,4,-1205,-79) Matrix(4454,-6407,1845,-2654) -> Matrix(69,4,-1259,-73) Matrix(3001,-4320,1918,-2761) -> Matrix(-1,0,28,1) *** -> (-1/14,0/1) Matrix(1794,-2585,787,-1134) -> Matrix(51,4,-905,-71) Matrix(539,-782,122,-177) -> Matrix(59,4,-1254,-85) Matrix(73,-108,48,-71) -> Matrix(59,4,-900,-61) -1/15 Matrix(1509,-2330,590,-911) -> Matrix(185,12,-3438,-223) Matrix(423,-656,118,-183) -> Matrix(123,8,-2506,-163) Matrix(398,-621,141,-220) -> Matrix(63,4,-1213,-77) Matrix(2715,-4244,1124,-1757) -> Matrix(71,4,-1296,-73) -1/18 Matrix(607,-952,234,-367) -> Matrix(59,4,-1106,-75) Matrix(303,-478,116,-183) -> Matrix(-1,0,34,1) *** -> (-1/17,0/1) Matrix(208,-331,93,-148) -> Matrix(-1,0,33,1) *** -> (-2/33,0/1) Matrix(369,-592,230,-369) -> Matrix(185,12,-2852,-185) (8/5,37/23) -> (-3/46,-2/31) Matrix(482,-777,299,-482) -> Matrix(249,16,-3875,-249) (37/23,21/13) -> (-2/31,-8/125) Matrix(1491,-2410,550,-889) -> Matrix(251,16,-4722,-301) Matrix(619,-1002,160,-259) -> Matrix(125,8,-2578,-165) Matrix(389,-630,92,-149) -> Matrix(63,4,-1370,-87) Matrix(936,-1525,205,-334) -> Matrix(63,4,-1339,-85) Matrix(433,-706,46,-75) -> Matrix(63,4,-1528,-97) Matrix(545,-894,114,-187) -> Matrix(1,0,-6,1) 0/1 Matrix(158,-261,23,-38) -> Matrix(-1,0,39,1) *** -> (-2/39,0/1) Matrix(691,-1168,268,-453) -> Matrix(253,16,-4728,-299) Matrix(1804,-3055,535,-906) -> Matrix(125,8,-2547,-163) Matrix(3472,-5889,2047,-3472) -> Matrix(379,24,-5985,-379) (39/23,151/89) -> (-4/63,-6/95) Matrix(9967,-16912,5874,-9967) -> Matrix(191,12,-3040,-191) (151/89,56/33) -> (-6/95,-1/16) Matrix(890,-1511,311,-528) -> Matrix(127,8,-2429,-153) Matrix(332,-567,89,-152) -> Matrix(127,8,-2651,-167) Matrix(265,-456,154,-265) -> Matrix(319,20,-5088,-319) (12/7,19/11) -> (-10/159,-1/16) Matrix(153,-266,88,-153) -> Matrix(193,12,-3104,-193) (19/11,7/4) -> (-1/16,-6/97) Matrix(1083,-1918,476,-843) -> Matrix(521,32,-9264,-569) Matrix(410,-731,129,-230) -> Matrix(65,4,-1251,-77) Matrix(602,-1077,237,-424) -> Matrix(329,20,-6103,-371) Matrix(2925,-5236,1634,-2925) -> Matrix(857,52,-14124,-857) (34/19,77/43) -> (-13/214,-2/33) Matrix(386,-693,215,-386) -> Matrix(-1,0,33,1) (77/43,9/5) -> (-2/33,0/1) Matrix(471,-850,128,-231) -> Matrix(67,4,-1390,-83) Matrix(2242,-4059,939,-1700) -> Matrix(59,4,-1077,-73) Matrix(661,-1200,298,-541) -> Matrix(-1,0,34,1) *** -> (-1/17,0/1) Matrix(296,-545,63,-116) -> Matrix(65,4,-1381,-85) Matrix(397,-742,84,-157) -> Matrix(133,8,-2876,-173) Matrix(395,-744,146,-275) -> Matrix(135,8,-2548,-151) Matrix(325,-694,96,-205) -> Matrix(139,8,-2832,-163) Matrix(286,-615,133,-286) -> Matrix(279,16,-4865,-279) (15/7,41/19) -> (-8/139,-2/35) Matrix(493,-1066,228,-493) -> Matrix(491,28,-8610,-491) (41/19,13/6) -> (-2/35,-7/123) Matrix(804,-1775,337,-744) -> Matrix(283,16,-5147,-291) Matrix(731,-1668,110,-251) -> Matrix(285,16,-6644,-373) Matrix(127,-294,54,-125) -> Matrix(215,12,-3888,-217) -1/18 Matrix(356,-843,125,-296) -> Matrix(145,8,-2773,-153) Matrix(390,-929,89,-212) -> Matrix(73,4,-1515,-83) Matrix(778,-1861,301,-720) -> Matrix(145,8,-2737,-151) Matrix(333,-806,88,-213) -> Matrix(73,4,-1478,-81) Matrix(332,-809,87,-212) -> Matrix(-1,0,39,1) *** -> (-2/39,0/1) Matrix(417,-1022,122,-299) -> Matrix(1,0,-2,1) 0/1 Matrix(541,-1380,118,-301) -> Matrix(149,8,-3222,-173) Matrix(10267,-26274,4012,-10267) -> Matrix(895,48,-16688,-895) (87/34,151/59) -> (-8/149,-3/56) Matrix(7551,-19328,2950,-7551) -> Matrix(223,12,-4144,-223) (151/59,64/25) -> (-2/37,-3/56) Matrix(2190,-5609,809,-2072) -> Matrix(299,16,-5625,-301) -4/75 Matrix(740,-1899,219,-562) -> Matrix(223,12,-4553,-245) Matrix(369,-952,50,-129) -> Matrix(75,4,-1856,-99) Matrix(163,-438,16,-43) -> Matrix(75,4,-1856,-99) Matrix(1203,-3236,358,-963) -> Matrix(299,16,-6036,-323) Matrix(1202,-3239,357,-962) -> Matrix(601,32,-12189,-649) Matrix(177,-484,64,-175) -> Matrix(303,16,-5776,-305) -1/19 Matrix(46,-135,15,-44) -> Matrix(77,4,-1521,-79) -2/39 Matrix(303,-956,58,-183) -> Matrix(-1,0,42,1) *** -> (-1/21,0/1) Matrix(183,-598,56,-183) -> Matrix(319,16,-6360,-319) (13/4,23/7) -> (-8/159,-1/20) Matrix(139,-460,42,-139) -> Matrix(241,12,-4840,-241) (23/7,10/3) -> (-1/20,-6/121) Matrix(662,-2219,179,-600) -> Matrix(161,8,-3361,-167) Matrix(258,-881,41,-140) -> Matrix(81,4,-1843,-91) Matrix(355,-1264,66,-235) -> Matrix(81,4,-1802,-89) Matrix(469,-1692,130,-469) -> Matrix(573,28,-11726,-573) (18/5,47/13) -> (-7/143,-2/41) Matrix(142,-517,39,-142) -> Matrix(165,8,-3403,-165) (47/13,11/3) -> (-2/41,-4/83) Matrix(357,-1322,64,-237) -> Matrix(83,4,-1888,-91) Matrix(342,-1519,77,-342) -> Matrix(171,8,-3655,-171) (31/7,49/11) -> (-4/85,-2/43) Matrix(197,-882,44,-197) -> Matrix(87,4,-1892,-87) (49/11,9/2) -> (-2/43,-1/22) Matrix(51,-250,10,-49) -> Matrix(87,4,-1936,-89) -1/22 Matrix(154,-867,27,-152) -> Matrix(1,0,1,1) 0/1 Matrix(105,-676,16,-103) -> Matrix(183,8,-4232,-185) -1/23 ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.