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): 2160 Minimal number of generators: 361 Number of equivalence classes of cusps: 90 Genus: 136 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -17/19 -15/19 -13/19 -11/19 -1/2 -9/19 -5/12 -39/95 -7/19 -20/57 -11/35 -23/76 -5/18 -21/76 -41/152 -5/19 -1/4 -5/21 -9/38 -25/114 -3/14 -3/16 -10/57 -1/6 -3/19 -2/15 -5/38 -3/23 -1/8 -3/25 -1/10 0/1 1/10 2/19 1/9 2/17 1/8 1/7 2/13 3/19 1/6 5/29 3/17 2/11 7/38 5/27 3/16 1/5 4/19 7/33 3/14 2/9 7/31 3/13 1/4 5/19 3/11 5/18 2/7 11/38 11/37 6/19 1/3 41/114 7/19 2/5 5/12 8/19 7/15 9/19 1/2 21/38 11/19 23/38 191/304 12/19 37/57 2/3 13/19 27/38 14/19 29/38 89/114 15/19 31/38 16/19 33/38 17/19 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 1/0 -10/11 -1/1 0/1 -9/10 1/0 -17/19 0/1 -8/9 0/1 1/0 -7/8 1/0 -20/23 -1/3 0/1 -33/38 0/1 -13/15 0/1 1/2 -19/22 1/0 -6/7 -1/1 0/1 -11/13 -1/1 0/1 -16/19 0/1 -5/6 1/0 -19/23 1/1 2/1 -14/17 -2/1 -1/1 -23/28 1/0 -9/11 -1/2 0/1 -31/38 0/1 -22/27 0/1 1/5 -57/70 1/4 -35/43 1/3 1/2 -13/16 1/2 -17/21 1/2 1/1 -4/5 0/1 1/0 -15/19 0/1 -26/33 0/1 1/4 -37/47 1/2 1/1 -11/14 1/2 -29/37 0/1 1/1 -18/23 1/1 2/1 -43/55 -1/1 1/0 -68/87 -1/1 0/1 -25/32 1/0 -57/73 1/1 1/0 -89/114 1/0 -32/41 0/1 1/0 -7/9 1/1 1/0 -10/13 -1/1 0/1 -23/30 -1/2 -13/17 -1/4 0/1 -29/38 0/1 -16/21 0/1 1/5 -3/4 1/0 -20/27 -1/3 0/1 -17/23 -1/3 0/1 -14/19 0/1 -11/15 0/1 1/2 -41/56 1/2 -71/97 1/1 1/0 -30/41 0/1 1/2 -49/67 1/2 1/1 -19/26 1/2 -27/37 0/1 1/1 -8/11 1/1 2/1 -29/40 1/0 -50/69 1/1 2/1 -21/29 5/1 1/0 -13/18 1/0 -31/43 -3/1 1/0 -49/68 1/0 -18/25 -2/1 -1/1 -5/7 -1/2 0/1 -27/38 0/1 -22/31 0/1 1/9 -61/86 1/6 -100/141 0/1 1/5 -39/55 1/6 1/5 -17/24 1/4 -29/41 0/1 1/1 -12/17 0/1 1/3 -43/61 1/2 2/3 -74/105 1/2 2/3 -31/44 1/2 -19/27 1/1 2/1 -45/64 1/0 -26/37 0/1 1/1 -7/10 1/0 -23/33 -3/1 1/0 -39/56 1/0 -16/23 -1/1 0/1 -9/13 -1/1 0/1 -11/16 -1/2 -13/19 0/1 -2/3 0/1 1/0 -13/20 1/2 -11/17 0/1 1/2 -9/14 1/0 -25/39 0/1 1/1 -41/64 1/2 -16/25 1/1 2/1 -7/11 0/1 1/0 -12/19 0/1 -17/27 0/1 1/3 -39/62 1/2 -61/97 1/4 1/3 -22/35 0/1 1/2 -27/43 1/3 1/2 -5/8 1/2 -23/37 0/1 1/1 -18/29 0/1 1/2 -67/108 1/2 -49/79 1/2 1/1 -31/50 1/2 -13/21 3/4 1/1 -21/34 3/2 -71/115 1/1 2/1 -50/81 3/2 2/1 -29/47 3/1 1/0 -8/13 0/1 1/1 -27/44 3/2 -73/119 1/1 1/0 -46/75 1/1 2/1 -19/31 1/1 1/0 -11/18 1/0 -47/77 0/1 1/0 -36/59 0/1 1/1 -25/41 -1/1 0/1 -14/23 0/1 1/1 -31/51 0/1 1/0 -17/28 1/0 -20/33 0/1 1/0 -23/38 0/1 -3/5 0/1 1/1 -13/22 3/2 -23/39 1/1 2/1 -10/17 0/1 1/1 -17/29 1/1 3/2 -41/70 7/4 -24/41 2/1 5/2 -7/12 1/0 -11/19 1/0 -15/26 1/0 -34/59 0/1 1/1 -53/92 1/0 -19/33 1/1 1/0 -42/73 0/1 1/0 -65/113 0/1 1/1 -23/40 1/0 -4/7 0/1 1/1 -21/37 0/1 1/1 -17/30 1/2 -13/23 1/1 4/3 -22/39 1/1 2/1 -53/94 3/2 -31/55 1/1 1/0 -9/16 1/0 -23/41 1/1 2/1 -60/107 5/3 2/1 -37/66 1/0 -14/25 1/1 2/1 -5/9 3/1 1/0 -21/38 1/0 -16/29 -6/1 1/0 -11/20 1/0 -17/31 -1/1 1/0 -40/73 0/1 1/0 -63/115 -1/1 0/1 -23/42 -1/2 -6/11 0/1 1/1 -13/24 1/2 -20/37 0/1 1/1 -7/13 1/1 2/1 -8/15 1/1 2/1 -1/2 1/0 -9/19 1/0 -8/17 -5/1 -4/1 -7/15 -2/1 1/0 -13/28 1/0 -6/13 -2/1 -1/1 -5/11 0/1 1/0 -4/9 -4/1 1/0 -19/43 -3/1 -5/2 -34/77 -3/1 -2/1 -15/34 -5/2 -26/59 -2/1 -5/3 -11/25 -2/1 1/0 -29/66 1/0 -18/41 -5/2 -2/1 -25/57 -2/1 -7/16 -3/2 -17/39 -2/1 -1/1 -10/23 -4/3 -1/1 -3/7 0/1 1/0 -8/19 1/0 -13/31 -5/1 1/0 -31/74 1/0 -18/43 -4/1 1/0 -23/55 -7/2 -3/1 -5/12 1/0 -17/41 -7/3 -2/1 -12/29 -2/1 1/0 -19/46 1/0 -7/17 -2/1 -3/2 -23/56 -3/2 -39/95 -1/1 -55/134 1/0 -16/39 -2/1 -1/1 -41/100 -3/2 -25/61 -2/1 1/0 -9/22 -3/2 -11/27 -1/1 -4/5 -13/32 -1/2 -2/5 0/1 1/0 -9/23 -3/1 -2/1 -34/87 -3/1 -2/1 -59/151 -2/1 1/0 -25/64 1/0 -16/41 -2/1 -3/2 -7/18 1/0 -26/67 -6/1 1/0 -19/49 -4/1 -3/1 -31/80 -5/2 -74/191 -3/1 -2/1 -43/111 -3/1 -2/1 -12/31 -2/1 -1/1 -5/13 -2/1 -1/1 -8/21 -1/1 -2/3 -11/29 -1/1 1/0 -36/95 -1/1 -25/66 -1/2 -14/37 -1/1 0/1 -17/45 -1/1 -1/2 -3/8 1/0 -7/19 1/0 -11/30 1/0 -26/71 -2/1 1/0 -41/112 1/0 -97/265 -4/1 -3/1 -153/418 -3/1 -56/153 -3/1 -2/1 -15/41 -3/1 -2/1 -19/52 -3/2 -4/11 -2/1 -1/1 -13/36 1/0 -35/97 -5/1 1/0 -22/61 -3/1 -2/1 -9/25 -2/1 1/0 -41/114 -2/1 -32/89 -2/1 -5/3 -55/153 -2/1 -3/2 -23/64 -3/2 -14/39 -2/1 -1/1 -5/14 1/0 -11/31 -1/1 -1/2 -28/79 -1/2 0/1 -17/48 1/0 -6/17 -2/1 -1/1 -13/37 -1/1 0/1 -20/57 0/1 -27/77 0/1 1/0 -7/20 1/0 -8/23 -2/1 -1/1 -9/26 1/0 -1/3 -1/1 1/0 -6/19 -1/1 -11/35 -1/1 0/1 -5/16 1/0 -14/45 0/1 1/1 -9/29 -3/1 1/0 -4/13 -1/1 0/1 -23/75 0/1 1/0 -19/62 1/0 -15/49 0/1 1/1 -11/36 1/0 -29/95 1/0 -18/59 -4/1 -3/1 -7/23 -1/1 0/1 -10/33 2/1 1/0 -23/76 1/0 -13/43 -5/1 1/0 -3/10 1/0 -17/57 -2/1 -14/47 -2/1 -3/2 -11/37 -2/1 -1/1 -8/27 -4/3 -1/1 -5/17 -2/1 1/0 -7/24 -3/2 -9/31 -5/4 -1/1 -11/38 -1/1 -2/7 -1/1 0/1 -11/39 -1/1 0/1 -20/71 0/1 1/0 -9/32 -1/2 -16/57 0/1 -7/25 0/1 1/0 -19/68 1/0 -12/43 0/1 1/0 -29/104 1/0 -17/61 0/1 1/0 -5/18 1/0 -13/47 7/1 1/0 -21/76 1/0 -8/29 -6/1 1/0 -3/11 -2/1 1/0 -13/48 -3/2 -10/37 -2/1 -1/1 -17/63 -4/3 -1/1 -41/152 -1/1 -24/89 -1/1 -2/3 -7/26 1/0 -11/41 -2/1 -5/3 -4/15 -2/1 -1/1 -5/19 -1/1 -6/23 -1/1 -2/3 -13/50 -1/2 -7/27 -1/1 -2/3 -1/4 1/0 -5/21 -7/6 -1/1 -9/38 -1/1 -4/17 -1/1 -4/5 -3/13 -1/1 0/1 -5/22 1/0 -22/97 0/1 1/1 -17/75 0/1 1/0 -12/53 -1/1 0/1 -19/84 1/2 -7/31 1/1 1/0 -9/40 1/0 -11/49 0/1 1/1 -2/9 -2/1 1/0 -9/41 -7/3 -2/1 -25/114 -2/1 -16/73 -2/1 -15/8 -7/32 -3/2 -5/23 -4/3 -1/1 -8/37 -2/1 -1/1 -3/14 -3/2 -13/61 -4/3 -5/4 -10/47 -4/3 -5/4 -7/33 -7/6 -1/1 -4/19 -1/1 -1/5 -1/1 0/1 -3/16 -3/2 -5/27 -10/9 -1/1 -7/38 -1/1 -2/11 -1/1 -4/5 -3/17 -2/3 -1/2 -10/57 -1/2 -17/97 -1/2 -5/11 -7/40 -1/2 -4/23 -1/3 0/1 -13/75 -1/2 0/1 -9/52 -1/2 -5/29 -1/2 -1/3 -1/6 1/0 -3/19 -1/1 -5/32 -5/6 -2/13 -1/1 -2/3 -1/7 0/1 1/0 -2/15 -4/3 -1/1 -5/38 -1/1 -3/23 -1/1 -6/7 -1/8 -1/2 -3/25 -1/2 0/1 -2/17 0/1 1/1 -3/26 1/0 -1/9 -1/1 1/0 -2/19 -1/1 -1/10 -1/2 0/1 -1/1 0/1 1/10 1/0 2/19 -1/1 1/9 -1/1 -1/2 2/17 -1/3 0/1 1/8 1/0 1/7 -1/2 0/1 2/13 -2/1 -1/1 3/19 -1/1 1/6 -1/2 5/29 1/1 1/0 4/23 0/1 1/1 3/17 -2/1 1/0 2/11 -4/3 -1/1 7/38 -1/1 5/27 -1/1 -10/11 3/16 -3/4 1/5 -1/1 0/1 4/19 -1/1 7/33 -1/1 -7/8 10/47 -5/6 -4/5 13/61 -5/6 -4/5 3/14 -3/4 8/37 -1/1 -2/3 5/23 -1/1 -4/5 7/32 -3/4 2/9 -2/3 -1/2 9/40 -1/2 7/31 -1/2 -1/3 12/53 -1/1 0/1 17/75 -1/2 0/1 5/22 -1/2 3/13 -1/1 0/1 1/4 -1/2 5/19 -1/1 9/34 -5/6 13/49 -1/1 -2/3 4/15 -1/1 -2/3 11/41 -5/7 -2/3 7/26 -1/2 17/63 -1/1 -4/5 10/37 -1/1 -2/3 3/11 -2/3 -1/2 5/18 -1/2 17/61 -1/2 0/1 12/43 -1/2 0/1 19/68 -1/2 7/25 -1/2 0/1 9/32 1/0 11/39 -1/1 0/1 2/7 -1/1 0/1 11/38 -1/1 9/31 -1/1 -5/6 7/24 -3/4 5/17 -2/3 -1/2 8/27 -1/1 -4/5 11/37 -1/1 -2/3 3/10 -1/2 7/23 -1/1 0/1 11/36 -1/2 15/49 -1/3 0/1 4/13 -1/1 0/1 9/29 -3/5 -1/2 14/45 -1/3 0/1 5/16 -1/2 6/19 -1/1 1/3 -1/1 -1/2 8/23 -1/1 -2/3 7/20 -1/2 6/17 -1/1 -2/3 11/31 -1/1 1/0 5/14 -1/2 14/39 -1/1 -2/3 23/64 -3/4 55/153 -3/4 -2/3 32/89 -5/7 -2/3 41/114 -2/3 9/25 -2/3 -1/2 22/61 -2/3 -3/5 13/36 -1/2 4/11 -1/1 -2/3 7/19 -1/2 10/27 -1/3 0/1 13/35 -1/1 0/1 16/43 -1/2 0/1 3/8 -1/2 17/45 -1/1 1/0 14/37 -1/1 0/1 11/29 -1/1 -1/2 8/21 -2/1 -1/1 13/34 -3/4 5/13 -1/1 -2/3 12/31 -1/1 -2/3 43/111 -2/3 -3/5 31/80 -5/8 19/49 -3/5 -4/7 7/18 -1/2 16/41 -3/4 -2/3 9/23 -2/3 -3/5 11/28 -1/2 2/5 -1/2 0/1 11/27 -4/3 -1/1 9/22 -3/4 25/61 -2/3 -1/2 16/39 -1/1 -2/3 7/17 -3/4 -2/3 19/46 -1/2 12/29 -2/3 -1/2 29/70 -3/4 17/41 -2/3 -7/11 5/12 -1/2 18/43 -4/7 -1/2 49/117 -4/7 -5/9 80/191 -4/7 -5/9 31/74 -1/2 13/31 -5/9 -1/2 8/19 -1/2 3/7 -1/2 0/1 13/30 1/0 10/23 -1/1 -4/5 17/39 -1/1 -2/3 7/16 -3/4 18/41 -2/3 -5/8 29/66 -1/2 11/25 -2/3 -1/2 15/34 -5/8 49/111 -2/3 -3/5 34/77 -2/3 -3/5 19/43 -5/8 -3/5 4/9 -4/7 -1/2 9/20 -1/2 5/11 -1/2 0/1 6/13 -1/1 -2/3 13/28 -1/2 7/15 -2/3 -1/2 8/17 -4/7 -5/9 9/19 -1/2 1/2 -1/2 7/13 -2/5 -1/3 20/37 -1/3 0/1 33/61 -1/2 0/1 13/24 -1/4 6/11 -1/3 0/1 11/20 -1/2 27/49 -3/5 -4/7 43/78 -1/2 16/29 -6/11 -1/2 21/38 -1/2 5/9 -1/2 -3/7 9/16 -1/2 22/39 -2/5 -1/3 13/23 -4/11 -1/3 43/76 -1/3 30/53 -1/3 -6/19 17/30 -1/4 4/7 -1/3 0/1 11/19 -1/2 18/31 -3/7 -2/5 43/74 -1/2 25/43 -1/2 -3/7 32/55 -3/7 -2/5 7/12 -1/2 31/53 -2/5 -1/3 24/41 -5/12 -2/5 89/152 -2/5 65/111 -2/5 -17/43 41/70 -7/18 17/29 -3/8 -1/3 10/17 -1/3 0/1 33/56 -1/2 56/95 -2/5 23/39 -2/5 -1/3 13/22 -3/8 3/5 -1/3 0/1 23/38 0/1 20/33 -1/2 0/1 37/61 -1/2 0/1 17/28 -1/2 31/51 -1/2 0/1 14/23 -1/3 0/1 25/41 -1/1 0/1 11/18 -1/2 30/49 -3/7 -2/5 49/80 -3/8 68/111 -1/2 -2/5 19/31 -1/2 -1/3 46/75 -2/5 -1/3 73/119 -1/2 -1/3 27/44 -3/8 35/57 -1/3 8/13 -1/3 0/1 29/47 -1/2 -3/7 50/81 -2/5 -3/8 71/115 -2/5 -1/3 92/149 -1/2 -2/5 21/34 -3/8 34/55 -8/23 -1/3 47/76 -1/3 13/21 -1/3 -3/10 31/50 -1/4 80/129 -1/3 -2/7 49/79 -1/3 -1/4 67/108 -1/4 18/29 -1/4 0/1 59/95 0/1 41/66 -1/2 23/37 -1/3 0/1 28/45 -1/3 0/1 5/8 -1/4 27/43 -1/4 -1/5 49/78 -1/4 120/191 -2/9 -1/5 191/304 -1/5 71/113 -1/5 0/1 22/35 -1/4 0/1 39/62 -1/4 95/151 -1/4 0/1 56/89 -1/3 0/1 17/27 -1/5 0/1 12/19 0/1 7/11 -1/2 0/1 16/25 -2/5 -1/3 25/39 -1/3 0/1 9/14 -1/2 11/17 -1/4 0/1 24/37 -1/3 0/1 37/57 -1/3 13/20 -1/4 2/3 -1/2 0/1 13/19 0/1 24/35 0/1 1/4 11/16 1/0 9/13 -1/1 0/1 25/36 -1/2 66/95 -1/2 41/59 -1/2 -2/5 16/23 -1/1 0/1 23/33 -3/5 -1/2 53/76 -1/2 30/43 -1/2 -4/9 7/10 -1/2 40/57 -1/3 33/47 -1/3 -1/4 26/37 -1/3 0/1 45/64 -1/2 64/91 -2/5 -1/3 19/27 -2/5 -1/3 50/71 -3/10 -2/7 81/115 -1/3 -2/7 31/44 -1/4 74/105 -2/7 -1/4 43/61 -2/7 -1/4 12/17 -1/5 0/1 53/75 -1/4 0/1 94/133 0/1 41/58 -1/4 29/41 -1/3 0/1 46/65 -1/5 0/1 17/24 -1/6 56/79 -1/6 0/1 39/55 -1/7 -1/8 61/86 -1/8 22/31 -1/11 0/1 27/38 0/1 5/7 0/1 1/0 18/25 -1/1 -2/3 31/43 -3/5 -1/2 44/61 -1/1 0/1 13/18 -1/2 34/47 -8/15 -1/2 55/76 -1/2 21/29 -1/2 -5/11 50/69 -2/5 -1/3 29/40 -1/2 8/11 -2/5 -1/3 27/37 -1/3 0/1 46/63 -2/5 -1/3 111/152 -1/3 65/89 -1/3 -4/13 19/26 -1/4 68/93 -1/5 0/1 49/67 -1/3 -1/4 30/41 -1/4 0/1 71/97 -1/2 -1/3 41/56 -1/4 11/15 -1/4 0/1 14/19 0/1 17/23 0/1 1/1 37/50 1/0 20/27 0/1 1/1 3/4 -1/2 19/25 -1/4 0/1 35/46 -1/4 16/21 -1/7 0/1 29/38 0/1 13/17 0/1 1/2 23/30 1/0 33/43 1/1 1/0 10/13 -1/1 0/1 37/48 -1/2 64/83 0/1 1/1 27/35 -1/1 0/1 44/57 -1/1 17/22 -1/2 7/9 -1/2 -1/3 32/41 -1/2 0/1 89/114 -1/2 57/73 -1/2 -1/3 25/32 -1/2 68/87 -1/1 0/1 43/55 -1/1 -1/2 104/133 -1/2 61/78 -1/2 18/23 -2/5 -1/3 29/37 -1/3 0/1 11/14 -1/4 15/19 0/1 19/24 1/0 61/77 0/1 1/0 42/53 0/1 1/1 23/29 1/1 1/0 4/5 -1/2 0/1 21/26 -1/2 17/21 -1/3 -1/4 47/58 -1/2 77/95 -1/3 30/37 -1/3 0/1 13/16 -1/4 61/75 -1/4 0/1 48/59 -1/5 0/1 35/43 -1/4 -1/5 57/70 -1/6 22/27 -1/7 0/1 31/38 0/1 9/11 0/1 1/0 32/39 -1/1 0/1 23/28 -1/2 60/73 0/1 1/0 37/45 -1/1 1/0 14/17 -1/1 -2/3 47/57 -1/2 33/40 -1/2 19/23 -2/5 -1/3 5/6 -1/2 21/25 -1/4 0/1 16/19 0/1 11/13 -1/1 0/1 6/7 -1/1 0/1 19/22 -1/2 13/15 -1/4 0/1 33/38 0/1 20/23 0/1 1/1 27/31 -1/1 1/0 7/8 -1/2 8/9 -1/2 0/1 17/19 0/1 9/10 -1/2 19/21 -1/1 -1/2 10/11 -1/1 0/1 11/12 -1/2 1/1 -1/2 0/1 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(683,624,-1748,-1597) (-1/1,-10/11) -> (-34/87,-59/151) Hyperbolic Matrix(1671,1510,-2356,-2129) (-10/11,-9/10) -> (-61/86,-100/141) Hyperbolic Matrix(1369,1228,2204,1977) (-9/10,-17/19) -> (59/95,41/66) Hyperbolic Matrix(873,778,1406,1253) (-17/19,-8/9) -> (18/29,59/95) Hyperbolic Matrix(267,236,646,571) (-8/9,-7/8) -> (19/46,12/29) Hyperbolic Matrix(533,464,-2356,-2051) (-7/8,-20/23) -> (-12/53,-19/84) Hyperbolic Matrix(1519,1320,1748,1519) (-20/23,-33/38) -> (33/38,20/23) Hyperbolic Matrix(989,858,1140,989) (-33/38,-13/15) -> (13/15,33/38) Hyperbolic Matrix(685,592,1672,1445) (-13/15,-19/22) -> (9/22,25/61) Hyperbolic Matrix(343,296,1102,951) (-19/22,-6/7) -> (14/45,5/16) Hyperbolic Matrix(191,162,494,419) (-6/7,-11/13) -> (5/13,12/31) Hyperbolic Matrix(417,352,494,417) (-11/13,-16/19) -> (16/19,11/13) Hyperbolic Matrix(267,224,-950,-797) (-16/19,-5/6) -> (-9/32,-16/57) Hyperbolic Matrix(191,158,874,723) (-5/6,-19/23) -> (5/23,7/32) Hyperbolic Matrix(533,440,-1748,-1443) (-19/23,-14/17) -> (-18/59,-7/23) Hyperbolic Matrix(457,376,-1292,-1063) (-14/17,-23/28) -> (-17/48,-6/17) Hyperbolic Matrix(227,186,-836,-685) (-23/28,-9/11) -> (-3/11,-13/48) Hyperbolic Matrix(683,558,836,683) (-9/11,-31/38) -> (31/38,9/11) Hyperbolic Matrix(1673,1364,2052,1673) (-31/38,-22/27) -> (22/27,31/38) Hyperbolic Matrix(5435,4426,6954,5663) (-22/27,-57/70) -> (25/32,68/87) Hyperbolic Matrix(6271,5106,10222,8323) (-57/70,-35/43) -> (73/119,27/44) Hyperbolic Matrix(2583,2102,-4484,-3649) (-35/43,-13/16) -> (-53/92,-19/33) Hyperbolic Matrix(685,556,-1216,-987) (-13/16,-17/21) -> (-31/55,-9/16) Hyperbolic Matrix(493,398,-1178,-951) (-17/21,-4/5) -> (-18/43,-23/55) Hyperbolic Matrix(569,450,-722,-571) (-4/5,-15/19) -> (-15/19,-26/33) Parabolic Matrix(3307,2604,5358,4219) (-26/33,-37/47) -> (29/47,50/81) Hyperbolic Matrix(493,388,-2850,-2243) (-37/47,-11/14) -> (-9/52,-5/29) Hyperbolic Matrix(683,536,1064,835) (-11/14,-29/37) -> (25/39,9/14) Hyperbolic Matrix(761,596,1748,1369) (-29/37,-18/23) -> (10/23,17/39) Hyperbolic Matrix(2015,1576,-5586,-4369) (-18/23,-43/55) -> (-35/97,-22/61) Hyperbolic Matrix(8893,6952,-12540,-9803) (-43/55,-68/87) -> (-100/141,-39/55) Hyperbolic Matrix(5663,4426,6954,5435) (-68/87,-25/32) -> (57/70,22/27) Hyperbolic Matrix(6459,5044,10412,8131) (-25/32,-57/73) -> (49/79,67/108) Hyperbolic Matrix(12995,10146,16644,12995) (-57/73,-89/114) -> (89/114,57/73) Hyperbolic Matrix(7297,5696,9348,7297) (-89/114,-32/41) -> (32/41,89/114) Hyperbolic Matrix(2279,1778,3116,2431) (-32/41,-7/9) -> (49/67,30/41) Hyperbolic Matrix(191,148,-342,-265) (-7/9,-10/13) -> (-14/25,-5/9) Hyperbolic Matrix(1177,904,-1634,-1255) (-10/13,-23/30) -> (-49/68,-18/25) Hyperbolic Matrix(533,408,1292,989) (-23/30,-13/17) -> (7/17,19/46) Hyperbolic Matrix(987,754,1292,987) (-13/17,-29/38) -> (29/38,13/17) Hyperbolic Matrix(1217,928,1596,1217) (-29/38,-16/21) -> (16/21,29/38) Hyperbolic Matrix(419,318,-950,-721) (-16/21,-3/4) -> (-15/34,-26/59) Hyperbolic Matrix(1443,1070,2356,1747) (-3/4,-20/27) -> (30/49,49/80) Hyperbolic Matrix(1025,758,-2622,-1939) (-20/27,-17/23) -> (-9/23,-34/87) Hyperbolic Matrix(645,476,874,645) (-17/23,-14/19) -> (14/19,17/23) Hyperbolic Matrix(419,308,570,419) (-14/19,-11/15) -> (11/15,14/19) Hyperbolic Matrix(1027,752,3686,2699) (-11/15,-41/56) -> (5/18,17/61) Hyperbolic Matrix(5511,4034,6802,4979) (-41/56,-71/97) -> (17/21,47/58) Hyperbolic Matrix(7031,5146,9918,7259) (-71/97,-30/41) -> (56/79,39/55) Hyperbolic Matrix(2431,1778,3116,2279) (-30/41,-49/67) -> (7/9,32/41) Hyperbolic Matrix(227,166,-1976,-1445) (-49/67,-19/26) -> (-3/26,-1/9) Hyperbolic Matrix(2167,1582,-3382,-2469) (-19/26,-27/37) -> (-25/39,-41/64) Hyperbolic Matrix(417,304,1406,1025) (-27/37,-8/11) -> (8/27,11/37) Hyperbolic Matrix(303,220,836,607) (-8/11,-29/40) -> (13/36,4/11) Hyperbolic Matrix(3687,2672,6346,4599) (-29/40,-50/69) -> (18/31,43/74) Hyperbolic Matrix(1027,744,3306,2395) (-50/69,-21/29) -> (9/29,14/45) Hyperbolic Matrix(379,274,-1368,-989) (-21/29,-13/18) -> (-5/18,-13/47) Hyperbolic Matrix(2091,1508,-3002,-2165) (-13/18,-31/43) -> (-23/33,-39/56) Hyperbolic Matrix(2051,1478,3268,2355) (-31/43,-49/68) -> (5/8,27/43) Hyperbolic Matrix(39,28,266,191) (-18/25,-5/7) -> (1/7,2/13) Hyperbolic Matrix(379,270,532,379) (-5/7,-27/38) -> (27/38,5/7) Hyperbolic Matrix(1673,1188,2356,1673) (-27/38,-22/31) -> (22/31,27/38) Hyperbolic Matrix(6651,4718,8626,6119) (-22/31,-61/86) -> (37/48,64/83) Hyperbolic Matrix(3609,2558,-5738,-4067) (-39/55,-17/24) -> (-39/62,-61/97) Hyperbolic Matrix(1139,806,-3116,-2205) (-17/24,-29/41) -> (-15/41,-19/52) Hyperbolic Matrix(1901,1344,-3116,-2203) (-29/41,-12/17) -> (-36/59,-25/41) Hyperbolic Matrix(607,428,1292,911) (-12/17,-43/61) -> (7/15,8/17) Hyperbolic Matrix(1975,1392,9272,6535) (-43/61,-74/105) -> (10/47,13/61) Hyperbolic Matrix(7827,5516,12616,8891) (-74/105,-31/44) -> (67/108,18/29) Hyperbolic Matrix(835,588,-2052,-1445) (-31/44,-19/27) -> (-11/27,-13/32) Hyperbolic Matrix(799,562,-3078,-2165) (-19/27,-45/64) -> (-13/50,-7/27) Hyperbolic Matrix(1747,1228,4864,3419) (-45/64,-26/37) -> (14/39,23/64) Hyperbolic Matrix(1065,748,-2812,-1975) (-26/37,-7/10) -> (-25/66,-14/37) Hyperbolic Matrix(229,160,-760,-531) (-7/10,-23/33) -> (-13/43,-3/10) Hyperbolic Matrix(609,424,1748,1217) (-39/56,-16/23) -> (8/23,7/20) Hyperbolic Matrix(265,184,-494,-343) (-16/23,-9/13) -> (-7/13,-8/15) Hyperbolic Matrix(113,78,494,341) (-9/13,-11/16) -> (5/22,3/13) Hyperbolic Matrix(533,366,-1216,-835) (-11/16,-13/19) -> (-25/57,-7/16) Hyperbolic Matrix(417,284,-950,-647) (-13/19,-2/3) -> (-18/41,-25/57) Hyperbolic Matrix(341,222,874,569) (-2/3,-13/20) -> (7/18,16/41) Hyperbolic Matrix(531,344,-1292,-837) (-13/20,-11/17) -> (-7/17,-23/56) Hyperbolic Matrix(189,122,646,417) (-11/17,-9/14) -> (7/24,5/17) Hyperbolic Matrix(835,536,1064,683) (-9/14,-25/39) -> (29/37,11/14) Hyperbolic Matrix(1711,1096,-6346,-4065) (-41/64,-16/25) -> (-24/89,-7/26) Hyperbolic Matrix(191,122,418,267) (-16/25,-7/11) -> (5/11,6/13) Hyperbolic Matrix(265,168,418,265) (-7/11,-12/19) -> (12/19,7/11) Hyperbolic Matrix(647,408,1026,647) (-12/19,-17/27) -> (17/27,12/19) Hyperbolic Matrix(1443,908,-4712,-2965) (-17/27,-39/62) -> (-19/62,-15/49) Hyperbolic Matrix(5395,3392,7372,4635) (-61/97,-22/35) -> (30/41,71/97) Hyperbolic Matrix(2471,1552,-4294,-2697) (-22/35,-27/43) -> (-19/33,-42/73) Hyperbolic Matrix(1253,786,1634,1025) (-27/43,-5/8) -> (23/30,33/43) Hyperbolic Matrix(797,496,-1406,-875) (-5/8,-23/37) -> (-21/37,-17/30) Hyperbolic Matrix(837,520,-2812,-1747) (-23/37,-18/29) -> (-14/47,-11/37) Hyperbolic Matrix(8891,5516,12616,7827) (-18/29,-67/108) -> (31/44,74/105) Hyperbolic Matrix(8131,5044,10412,6459) (-67/108,-49/79) -> (57/73,25/32) Hyperbolic Matrix(761,472,-2204,-1367) (-49/79,-31/50) -> (-9/26,-1/3) Hyperbolic Matrix(1255,778,-3002,-1861) (-31/50,-13/21) -> (-23/55,-5/12) Hyperbolic Matrix(191,118,-798,-493) (-13/21,-21/34) -> (-1/4,-5/21) Hyperbolic Matrix(4787,2956,-8740,-5397) (-21/34,-71/115) -> (-63/115,-23/42) Hyperbolic Matrix(12311,7600,17480,10791) (-71/115,-50/81) -> (50/71,81/115) Hyperbolic Matrix(2051,1266,2584,1595) (-50/81,-29/47) -> (23/29,4/5) Hyperbolic Matrix(305,188,988,609) (-29/47,-8/13) -> (4/13,9/29) Hyperbolic Matrix(153,94,-988,-607) (-8/13,-27/44) -> (-5/32,-2/13) Hyperbolic Matrix(8323,5106,10222,6271) (-27/44,-73/119) -> (35/43,57/70) Hyperbolic Matrix(5471,3356,12388,7599) (-73/119,-46/75) -> (34/77,19/43) Hyperbolic Matrix(1709,1048,4522,2773) (-46/75,-19/31) -> (17/45,14/37) Hyperbolic Matrix(647,396,-1178,-721) (-19/31,-11/18) -> (-11/20,-17/31) Hyperbolic Matrix(1025,626,-2926,-1787) (-11/18,-47/77) -> (-27/77,-7/20) Hyperbolic Matrix(2697,1646,-11894,-7259) (-47/77,-36/59) -> (-22/97,-17/75) Hyperbolic Matrix(417,254,1558,949) (-25/41,-14/23) -> (4/15,11/41) Hyperbolic Matrix(1329,808,3686,2241) (-14/23,-31/51) -> (9/25,22/61) Hyperbolic Matrix(1787,1086,4066,2471) (-31/51,-17/28) -> (29/66,11/25) Hyperbolic Matrix(1293,784,-4636,-2811) (-17/28,-20/33) -> (-12/43,-29/104) Hyperbolic Matrix(1519,920,2508,1519) (-20/33,-23/38) -> (23/38,20/33) Hyperbolic Matrix(229,138,380,229) (-23/38,-3/5) -> (3/5,23/38) Hyperbolic Matrix(37,22,190,113) (-3/5,-13/22) -> (3/16,1/5) Hyperbolic Matrix(647,382,1482,875) (-13/22,-23/39) -> (17/39,7/16) Hyperbolic Matrix(455,268,-1292,-761) (-23/39,-10/17) -> (-6/17,-13/37) Hyperbolic Matrix(419,246,1102,647) (-10/17,-17/29) -> (11/29,8/21) Hyperbolic Matrix(379,222,2204,1291) (-17/29,-41/70) -> (1/6,5/29) Hyperbolic Matrix(1407,824,-6422,-3761) (-41/70,-24/41) -> (-16/73,-7/32) Hyperbolic Matrix(1217,712,-3116,-1823) (-24/41,-7/12) -> (-25/64,-16/41) Hyperbolic Matrix(417,242,-722,-419) (-7/12,-11/19) -> (-11/19,-15/26) Parabolic Matrix(229,132,-1976,-1139) (-15/26,-34/59) -> (-2/17,-3/26) Hyperbolic Matrix(2319,1336,-10222,-5889) (-34/59,-53/92) -> (-5/22,-22/97) Hyperbolic Matrix(15579,8962,25232,14515) (-42/73,-65/113) -> (71/115,92/149) Hyperbolic Matrix(8513,4896,-23256,-13375) (-65/113,-23/40) -> (-41/112,-97/265) Hyperbolic Matrix(2203,1266,3040,1747) (-23/40,-4/7) -> (50/69,29/40) Hyperbolic Matrix(151,86,532,303) (-4/7,-21/37) -> (11/39,2/7) Hyperbolic Matrix(113,64,-874,-495) (-17/30,-13/23) -> (-3/23,-1/8) Hyperbolic Matrix(379,214,1748,987) (-13/23,-22/39) -> (8/37,5/23) Hyperbolic Matrix(3649,2058,-8892,-5015) (-22/39,-53/94) -> (-55/134,-16/39) Hyperbolic Matrix(8929,5034,12198,6877) (-53/94,-31/55) -> (71/97,41/56) Hyperbolic Matrix(381,214,-1216,-683) (-9/16,-23/41) -> (-11/35,-5/16) Hyperbolic Matrix(5093,2856,13148,7373) (-23/41,-60/107) -> (12/31,43/111) Hyperbolic Matrix(7979,4474,11248,6307) (-60/107,-37/66) -> (61/86,22/31) Hyperbolic Matrix(721,404,1558,873) (-37/66,-14/25) -> (6/13,13/28) Hyperbolic Matrix(379,210,684,379) (-5/9,-21/38) -> (21/38,5/9) Hyperbolic Matrix(1217,672,2204,1217) (-21/38,-16/29) -> (16/29,21/38) Hyperbolic Matrix(723,398,-1862,-1025) (-16/29,-11/20) -> (-7/18,-26/67) Hyperbolic Matrix(4561,2500,5548,3041) (-17/31,-40/73) -> (60/73,37/45) Hyperbolic Matrix(7713,4226,12274,6725) (-40/73,-63/115) -> (71/113,22/35) Hyperbolic Matrix(873,478,1178,645) (-23/42,-6/11) -> (20/27,3/4) Hyperbolic Matrix(305,166,-836,-455) (-6/11,-13/24) -> (-19/52,-4/11) Hyperbolic Matrix(1901,1028,-4636,-2507) (-13/24,-20/37) -> (-16/39,-41/100) Hyperbolic Matrix(759,410,2812,1519) (-20/37,-7/13) -> (17/63,10/37) Hyperbolic Matrix(113,60,-646,-343) (-8/15,-1/2) -> (-7/40,-4/23) Hyperbolic Matrix(721,344,874,417) (-1/2,-9/19) -> (47/57,33/40) Hyperbolic Matrix(1065,502,1292,609) (-9/19,-8/17) -> (14/17,47/57) Hyperbolic Matrix(911,428,1292,607) (-8/17,-7/15) -> (43/61,12/17) Hyperbolic Matrix(911,424,-3268,-1521) (-7/15,-13/28) -> (-29/104,-17/61) Hyperbolic Matrix(761,352,988,457) (-13/28,-6/13) -> (10/13,37/48) Hyperbolic Matrix(267,122,418,191) (-6/13,-5/11) -> (7/11,16/25) Hyperbolic Matrix(115,52,-418,-189) (-5/11,-4/9) -> (-8/29,-3/11) Hyperbolic Matrix(493,218,2318,1025) (-4/9,-19/43) -> (7/33,10/47) Hyperbolic Matrix(7599,3356,12388,5471) (-19/43,-34/77) -> (46/75,73/119) Hyperbolic Matrix(4903,2164,-12654,-5585) (-34/77,-15/34) -> (-31/80,-74/191) Hyperbolic Matrix(227,100,-1900,-837) (-26/59,-11/25) -> (-3/25,-2/17) Hyperbolic Matrix(2471,1086,4066,1787) (-11/25,-29/66) -> (17/28,31/51) Hyperbolic Matrix(2545,1118,-7182,-3155) (-29/66,-18/41) -> (-28/79,-17/48) Hyperbolic Matrix(875,382,1482,647) (-7/16,-17/39) -> (23/39,13/22) Hyperbolic Matrix(1369,596,1748,761) (-17/39,-10/23) -> (18/23,29/37) Hyperbolic Matrix(37,16,-266,-115) (-10/23,-3/7) -> (-1/7,-2/15) Hyperbolic Matrix(113,48,266,113) (-3/7,-8/19) -> (8/19,3/7) Hyperbolic Matrix(495,208,1178,495) (-8/19,-13/31) -> (13/31,8/19) Hyperbolic Matrix(797,334,3534,1481) (-13/31,-31/74) -> (9/40,7/31) Hyperbolic Matrix(3687,1544,-10070,-4217) (-31/74,-18/43) -> (-26/71,-41/112) Hyperbolic Matrix(419,174,1558,647) (-5/12,-17/41) -> (11/41,7/26) Hyperbolic Matrix(343,142,-1558,-645) (-17/41,-12/29) -> (-2/9,-9/41) Hyperbolic Matrix(571,236,646,267) (-12/29,-19/46) -> (7/8,8/9) Hyperbolic Matrix(989,408,1292,533) (-19/46,-7/17) -> (13/17,23/30) Hyperbolic Matrix(7409,3042,-18050,-7411) (-23/56,-39/95) -> (-39/95,-55/134) Parabolic Matrix(1483,608,6954,2851) (-41/100,-25/61) -> (13/61,3/14) Hyperbolic Matrix(1445,592,1672,685) (-25/61,-9/22) -> (19/22,13/15) Hyperbolic Matrix(191,78,1026,419) (-9/22,-11/27) -> (5/27,3/16) Hyperbolic Matrix(685,278,-2432,-987) (-13/32,-2/5) -> (-20/71,-9/32) Hyperbolic Matrix(265,104,-874,-343) (-2/5,-9/23) -> (-7/23,-10/33) Hyperbolic Matrix(6993,2732,19456,7601) (-59/151,-25/64) -> (23/64,55/153) Hyperbolic Matrix(569,222,874,341) (-16/41,-7/18) -> (13/20,2/3) Hyperbolic Matrix(835,324,-3724,-1445) (-26/67,-19/49) -> (-11/49,-2/9) Hyperbolic Matrix(1481,574,5586,2165) (-19/49,-31/80) -> (9/34,13/49) Hyperbolic Matrix(18239,7066,43548,16871) (-74/191,-43/111) -> (49/117,80/191) Hyperbolic Matrix(7941,3076,10298,3989) (-43/111,-12/31) -> (64/83,27/35) Hyperbolic Matrix(419,162,494,191) (-12/31,-5/13) -> (11/13,6/7) Hyperbolic Matrix(115,44,-494,-189) (-5/13,-8/21) -> (-4/17,-3/13) Hyperbolic Matrix(647,246,1102,419) (-8/21,-11/29) -> (17/29,10/17) Hyperbolic Matrix(4295,1628,6118,2319) (-11/29,-36/95) -> (40/57,33/47) Hyperbolic Matrix(227,86,2204,835) (-36/95,-25/66) -> (1/10,2/19) Hyperbolic Matrix(2773,1048,4522,1709) (-14/37,-17/45) -> (19/31,46/75) Hyperbolic Matrix(911,344,-4028,-1521) (-17/45,-3/8) -> (-19/84,-7/31) Hyperbolic Matrix(265,98,-722,-267) (-3/8,-7/19) -> (-7/19,-11/30) Parabolic Matrix(1709,626,6118,2241) (-11/30,-26/71) -> (12/43,19/68) Hyperbolic Matrix(80293,29390,127794,46777) (-97/265,-153/418) -> (191/304,71/113) Hyperbolic Matrix(79383,29056,126350,46247) (-153/418,-56/153) -> (120/191,191/304) Hyperbolic Matrix(8891,3254,20140,7371) (-56/153,-15/41) -> (49/111,34/77) Hyperbolic Matrix(607,220,836,303) (-4/11,-13/36) -> (29/40,8/11) Hyperbolic Matrix(1291,466,-7372,-2661) (-13/36,-35/97) -> (-17/97,-7/40) Hyperbolic Matrix(2241,808,3686,1329) (-22/61,-9/25) -> (31/51,14/23) Hyperbolic Matrix(2051,738,5700,2051) (-9/25,-41/114) -> (41/114,9/25) Hyperbolic Matrix(7297,2624,20292,7297) (-41/114,-32/89) -> (32/89,41/114) Hyperbolic Matrix(17023,6120,27056,9727) (-32/89,-55/153) -> (95/151,56/89) Hyperbolic Matrix(1747,628,1900,683) (-55/153,-23/64) -> (11/12,1/1) Hyperbolic Matrix(3419,1228,4864,1747) (-23/64,-14/39) -> (26/37,45/64) Hyperbolic Matrix(229,82,1064,381) (-14/39,-5/14) -> (3/14,8/37) Hyperbolic Matrix(343,122,1178,419) (-5/14,-11/31) -> (9/31,7/24) Hyperbolic Matrix(3609,1280,5890,2089) (-11/31,-28/79) -> (68/111,19/31) Hyperbolic Matrix(3383,1188,5738,2015) (-13/37,-20/57) -> (56/95,23/39) Hyperbolic Matrix(10259,3598,14516,5091) (-20/57,-27/77) -> (53/75,94/133) Hyperbolic Matrix(1179,412,1634,571) (-7/20,-8/23) -> (44/61,13/18) Hyperbolic Matrix(2699,936,3838,1331) (-8/23,-9/26) -> (45/64,64/91) Hyperbolic Matrix(37,12,114,37) (-1/3,-6/19) -> (6/19,1/3) Hyperbolic Matrix(2053,646,2660,837) (-6/19,-11/35) -> (27/35,44/57) Hyperbolic Matrix(951,296,1102,343) (-5/16,-14/45) -> (6/7,19/22) Hyperbolic Matrix(2395,744,3306,1027) (-14/45,-9/29) -> (21/29,50/69) Hyperbolic Matrix(609,188,988,305) (-9/29,-4/13) -> (8/13,29/47) Hyperbolic Matrix(3115,956,8664,2659) (-4/13,-23/75) -> (55/153,32/89) Hyperbolic Matrix(5207,1596,6574,2015) (-23/75,-19/62) -> (19/24,61/77) Hyperbolic Matrix(837,256,-3724,-1139) (-15/49,-11/36) -> (-9/40,-11/49) Hyperbolic Matrix(419,128,874,267) (-11/36,-29/95) -> (9/19,1/2) Hyperbolic Matrix(1291,394,2736,835) (-29/95,-18/59) -> (8/17,9/19) Hyperbolic Matrix(4029,1220,5776,1749) (-10/33,-23/76) -> (53/76,30/43) Hyperbolic Matrix(4027,1218,5776,1747) (-23/76,-13/43) -> (23/33,53/76) Hyperbolic Matrix(683,204,760,227) (-3/10,-17/57) -> (17/19,9/10) Hyperbolic Matrix(1255,374,1406,419) (-17/57,-14/47) -> (8/9,17/19) Hyperbolic Matrix(1025,304,1406,417) (-11/37,-8/27) -> (8/11,27/37) Hyperbolic Matrix(115,34,646,191) (-8/27,-5/17) -> (3/17,2/11) Hyperbolic Matrix(417,122,646,189) (-5/17,-7/24) -> (9/14,11/17) Hyperbolic Matrix(419,122,1178,343) (-7/24,-9/31) -> (11/31,5/14) Hyperbolic Matrix(683,198,2356,683) (-9/31,-11/38) -> (11/38,9/31) Hyperbolic Matrix(153,44,532,153) (-11/38,-2/7) -> (2/7,11/38) Hyperbolic Matrix(1253,354,2014,569) (-2/7,-11/39) -> (23/37,28/45) Hyperbolic Matrix(6991,1970,11324,3191) (-11/39,-20/71) -> (50/81,71/115) Hyperbolic Matrix(1597,448,1900,533) (-16/57,-7/25) -> (21/25,16/19) Hyperbolic Matrix(229,64,-1900,-531) (-7/25,-19/68) -> (-1/8,-3/25) Hyperbolic Matrix(1217,340,3268,913) (-19/68,-12/43) -> (16/43,3/8) Hyperbolic Matrix(2699,752,3686,1027) (-17/61,-5/18) -> (41/56,11/15) Hyperbolic Matrix(4181,1156,5776,1597) (-13/47,-21/76) -> (55/76,21/29) Hyperbolic Matrix(4179,1154,5776,1595) (-21/76,-8/29) -> (34/47,55/76) Hyperbolic Matrix(37,10,418,113) (-13/48,-10/37) -> (0/1,1/10) Hyperbolic Matrix(1519,410,2812,759) (-10/37,-17/63) -> (7/13,20/37) Hyperbolic Matrix(16873,4552,23104,6233) (-17/63,-41/152) -> (111/152,65/89) Hyperbolic Matrix(16871,4550,23104,6231) (-41/152,-24/89) -> (46/63,111/152) Hyperbolic Matrix(647,174,1558,419) (-7/26,-11/41) -> (17/41,5/12) Hyperbolic Matrix(949,254,1558,417) (-11/41,-4/15) -> (14/23,25/41) Hyperbolic Matrix(189,50,-722,-191) (-4/15,-5/19) -> (-5/19,-6/23) Parabolic Matrix(4713,1226,7600,1977) (-6/23,-13/50) -> (31/50,80/129) Hyperbolic Matrix(913,236,2356,609) (-7/27,-1/4) -> (31/80,19/49) Hyperbolic Matrix(1481,352,2394,569) (-5/21,-9/38) -> (47/76,13/21) Hyperbolic Matrix(2091,494,3382,799) (-9/38,-4/17) -> (34/55,47/76) Hyperbolic Matrix(341,78,494,113) (-3/13,-5/22) -> (11/16,9/13) Hyperbolic Matrix(989,224,-5700,-1291) (-17/75,-12/53) -> (-4/23,-13/75) Hyperbolic Matrix(1481,334,3534,797) (-7/31,-9/40) -> (31/74,13/31) Hyperbolic Matrix(11059,2426,18886,4143) (-9/41,-25/114) -> (89/152,65/111) Hyperbolic Matrix(9233,2024,15770,3457) (-25/114,-16/73) -> (24/41,89/152) Hyperbolic Matrix(723,158,874,191) (-7/32,-5/23) -> (19/23,5/6) Hyperbolic Matrix(987,214,1748,379) (-5/23,-8/37) -> (22/39,13/23) Hyperbolic Matrix(381,82,1064,229) (-8/37,-3/14) -> (5/14,14/39) Hyperbolic Matrix(1255,268,2318,495) (-3/14,-13/61) -> (33/61,13/24) Hyperbolic Matrix(6535,1392,9272,1975) (-13/61,-10/47) -> (74/105,43/61) Hyperbolic Matrix(1025,218,2318,493) (-10/47,-7/33) -> (19/43,4/9) Hyperbolic Matrix(265,56,1254,265) (-7/33,-4/19) -> (4/19,7/33) Hyperbolic Matrix(39,8,190,39) (-4/19,-1/5) -> (1/5,4/19) Hyperbolic Matrix(113,22,190,37) (-1/5,-3/16) -> (13/22,3/5) Hyperbolic Matrix(419,78,1026,191) (-3/16,-5/27) -> (11/27,9/22) Hyperbolic Matrix(379,70,2052,379) (-5/27,-7/38) -> (7/38,5/27) Hyperbolic Matrix(153,28,836,153) (-7/38,-2/11) -> (2/11,7/38) Hyperbolic Matrix(191,34,646,115) (-2/11,-3/17) -> (5/17,8/27) Hyperbolic Matrix(3459,608,4978,875) (-3/17,-10/57) -> (66/95,41/59) Hyperbolic Matrix(12539,2198,16036,2811) (-10/57,-17/97) -> (43/55,104/133) Hyperbolic Matrix(7865,1362,12502,2165) (-13/75,-9/52) -> (39/62,95/151) Hyperbolic Matrix(1291,222,2204,379) (-5/29,-1/6) -> (41/70,17/29) Hyperbolic Matrix(113,18,-722,-115) (-1/6,-3/19) -> (-3/19,-5/32) Parabolic Matrix(191,28,266,39) (-2/13,-1/7) -> (5/7,18/25) Hyperbolic Matrix(1785,236,3154,417) (-2/15,-5/38) -> (43/76,30/53) Hyperbolic Matrix(1483,194,2622,343) (-5/38,-3/23) -> (13/23,43/76) Hyperbolic Matrix(37,4,342,37) (-1/9,-2/19) -> (2/19,1/9) Hyperbolic Matrix(533,54,760,77) (-2/19,-1/10) -> (7/10,40/57) Hyperbolic Matrix(343,32,418,39) (-1/10,0/1) -> (32/39,23/28) Hyperbolic Matrix(1445,-166,1976,-227) (1/9,2/17) -> (68/93,49/67) Hyperbolic Matrix(723,-86,950,-113) (2/17,1/8) -> (35/46,16/21) Hyperbolic Matrix(115,-16,266,-37) (1/8,1/7) -> (3/7,13/30) Hyperbolic Matrix(607,-94,988,-153) (2/13,3/19) -> (35/57,8/13) Hyperbolic Matrix(723,-116,1178,-189) (3/19,1/6) -> (27/44,35/57) Hyperbolic Matrix(1747,-302,2204,-381) (5/29,4/23) -> (42/53,23/29) Hyperbolic Matrix(1215,-212,1748,-305) (4/23,3/17) -> (41/59,16/23) Hyperbolic Matrix(645,-142,1558,-343) (7/32,2/9) -> (12/29,29/70) Hyperbolic Matrix(1027,-230,1862,-417) (2/9,9/40) -> (43/78,16/29) Hyperbolic Matrix(2051,-464,2356,-533) (7/31,12/53) -> (20/23,27/31) Hyperbolic Matrix(6383,-1446,8056,-1825) (12/53,17/75) -> (61/77,42/53) Hyperbolic Matrix(2317,-526,2850,-647) (17/75,5/22) -> (13/16,61/75) Hyperbolic Matrix(189,-44,494,-115) (3/13,1/4) -> (13/34,5/13) Hyperbolic Matrix(191,-50,722,-189) (1/4,5/19) -> (5/19,9/34) Parabolic Matrix(3421,-908,4864,-1291) (13/49,4/15) -> (64/91,19/27) Hyperbolic Matrix(2887,-778,3952,-1065) (7/26,17/63) -> (65/89,19/26) Hyperbolic Matrix(685,-186,836,-227) (10/37,3/11) -> (9/11,32/39) Hyperbolic Matrix(189,-52,418,-115) (3/11,5/18) -> (9/20,5/11) Hyperbolic Matrix(2811,-784,4636,-1293) (17/61,12/43) -> (20/33,37/61) Hyperbolic Matrix(2167,-606,2850,-797) (19/68,7/25) -> (19/25,35/46) Hyperbolic Matrix(797,-224,950,-267) (7/25,9/32) -> (5/6,21/25) Hyperbolic Matrix(3801,-1070,5396,-1519) (9/32,11/39) -> (81/115,31/44) Hyperbolic Matrix(1747,-520,2812,-837) (11/37,3/10) -> (41/66,23/37) Hyperbolic Matrix(343,-104,874,-265) (3/10,7/23) -> (9/23,11/28) Hyperbolic Matrix(1443,-440,1748,-533) (7/23,11/36) -> (33/40,19/23) Hyperbolic Matrix(3079,-942,5586,-1709) (11/36,15/49) -> (27/49,43/78) Hyperbolic Matrix(2965,-908,4712,-1443) (15/49,4/13) -> (56/89,17/27) Hyperbolic Matrix(1027,-322,1330,-417) (5/16,6/19) -> (44/57,17/22) Hyperbolic Matrix(1367,-472,2204,-761) (1/3,8/23) -> (80/129,49/79) Hyperbolic Matrix(761,-268,1292,-455) (7/20,6/17) -> (10/17,33/56) Hyperbolic Matrix(1063,-376,1292,-457) (6/17,11/31) -> (37/45,14/17) Hyperbolic Matrix(4369,-1576,5586,-2015) (22/61,13/36) -> (61/78,18/23) Hyperbolic Matrix(267,-98,722,-265) (4/11,7/19) -> (7/19,10/27) Parabolic Matrix(2393,-888,3382,-1255) (10/27,13/35) -> (29/41,46/65) Hyperbolic Matrix(2737,-1018,6536,-2431) (13/35,16/43) -> (18/43,49/117) Hyperbolic Matrix(531,-200,608,-229) (3/8,17/45) -> (27/31,7/8) Hyperbolic Matrix(1975,-748,2812,-1065) (14/37,11/29) -> (33/47,26/37) Hyperbolic Matrix(1597,-610,2584,-987) (8/21,13/34) -> (21/34,34/55) Hyperbolic Matrix(5585,-2164,12654,-4903) (43/111,31/80) -> (15/34,49/111) Hyperbolic Matrix(1025,-398,1862,-723) (19/49,7/18) -> (11/20,27/49) Hyperbolic Matrix(1823,-712,3116,-1217) (16/41,9/23) -> (31/53,24/41) Hyperbolic Matrix(875,-344,1254,-493) (11/28,2/5) -> (30/43,7/10) Hyperbolic Matrix(1445,-588,2052,-835) (2/5,11/27) -> (19/27,50/71) Hyperbolic Matrix(2507,-1028,4636,-1901) (25/61,16/39) -> (20/37,33/61) Hyperbolic Matrix(837,-344,1292,-531) (16/39,7/17) -> (11/17,24/37) Hyperbolic Matrix(6231,-2582,10640,-4409) (29/70,17/41) -> (65/111,41/70) Hyperbolic Matrix(951,-398,1178,-493) (5/12,18/43) -> (4/5,21/26) Hyperbolic Matrix(18239,-7640,29032,-12161) (80/191,31/74) -> (49/78,120/191) Hyperbolic Matrix(1291,-560,2280,-989) (13/30,10/23) -> (30/53,17/30) Hyperbolic Matrix(835,-366,1216,-533) (7/16,18/41) -> (24/35,11/16) Hyperbolic Matrix(4903,-2154,5966,-2621) (18/41,29/66) -> (23/28,60/73) Hyperbolic Matrix(721,-318,950,-419) (11/25,15/34) -> (3/4,19/25) Hyperbolic Matrix(797,-358,1102,-495) (4/9,9/20) -> (13/18,34/47) Hyperbolic Matrix(1291,-600,2128,-989) (13/28,7/15) -> (37/61,17/28) Hyperbolic Matrix(343,-184,494,-265) (1/2,7/13) -> (9/13,25/36) Hyperbolic Matrix(1291,-700,1824,-989) (13/24,6/11) -> (46/65,17/24) Hyperbolic Matrix(721,-396,1178,-647) (6/11,11/20) -> (11/18,30/49) Hyperbolic Matrix(265,-148,342,-191) (5/9,9/16) -> (17/22,7/9) Hyperbolic Matrix(987,-556,1216,-685) (9/16,22/39) -> (30/37,13/16) Hyperbolic Matrix(875,-496,1406,-797) (17/30,4/7) -> (28/45,5/8) Hyperbolic Matrix(419,-242,722,-417) (4/7,11/19) -> (11/19,18/31) Parabolic Matrix(4105,-2386,6536,-3799) (43/74,25/43) -> (27/43,49/78) Hyperbolic Matrix(3989,-2320,4902,-2851) (25/43,32/55) -> (48/59,35/43) Hyperbolic Matrix(1861,-1084,2546,-1483) (32/55,7/12) -> (19/26,68/93) Hyperbolic Matrix(2165,-1266,2926,-1711) (7/12,31/53) -> (17/23,37/50) Hyperbolic Matrix(9159,-5398,12958,-7637) (33/56,56/95) -> (94/133,41/58) Hyperbolic Matrix(2203,-1344,3116,-1901) (25/41,11/18) -> (41/58,29/41) Hyperbolic Matrix(9691,-5936,15694,-9613) (49/80,68/111) -> (92/149,21/34) Hyperbolic Matrix(1291,-800,1596,-989) (13/21,31/50) -> (21/26,17/21) Hyperbolic Matrix(4067,-2558,5738,-3609) (22/35,39/62) -> (17/24,56/79) Hyperbolic Matrix(2469,-1582,3382,-2167) (16/25,25/39) -> (27/37,46/63) Hyperbolic Matrix(4559,-2958,5624,-3649) (24/37,37/57) -> (77/95,30/37) Hyperbolic Matrix(4219,-2740,5206,-3381) (37/57,13/20) -> (47/58,77/95) Hyperbolic Matrix(495,-338,722,-493) (2/3,13/19) -> (13/19,24/35) Parabolic Matrix(9539,-6626,12198,-8473) (25/36,66/95) -> (104/133,61/78) Hyperbolic Matrix(2165,-1508,3002,-2091) (16/23,23/33) -> (31/43,44/61) Hyperbolic Matrix(4637,-3276,5700,-4027) (12/17,53/75) -> (61/75,48/59) Hyperbolic Matrix(2129,-1510,2356,-1671) (39/55,61/86) -> (9/10,19/21) Hyperbolic Matrix(1255,-904,1634,-1177) (18/25,31/43) -> (33/43,10/13) Hyperbolic Matrix(797,-590,874,-647) (37/50,20/27) -> (10/11,11/12) Hyperbolic Matrix(2203,-1722,2432,-1901) (68/87,43/55) -> (19/21,10/11) Hyperbolic Matrix(571,-450,722,-569) (11/14,15/19) -> (15/19,19/24) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-2,1) Matrix(683,624,-1748,-1597) -> Matrix(1,-2,0,1) Matrix(1671,1510,-2356,-2129) -> Matrix(1,0,6,1) Matrix(1369,1228,2204,1977) -> Matrix(1,0,-2,1) Matrix(873,778,1406,1253) -> Matrix(1,0,-4,1) Matrix(267,236,646,571) -> Matrix(1,2,-2,-3) Matrix(533,464,-2356,-2051) -> Matrix(1,0,2,1) Matrix(1519,1320,1748,1519) -> Matrix(1,0,4,1) Matrix(989,858,1140,989) -> Matrix(1,0,-6,1) Matrix(685,592,1672,1445) -> Matrix(3,-2,-4,3) Matrix(343,296,1102,951) -> Matrix(1,0,-2,1) Matrix(191,162,494,419) -> Matrix(1,2,-2,-3) Matrix(417,352,494,417) -> Matrix(1,0,0,1) Matrix(267,224,-950,-797) -> Matrix(1,0,-2,1) Matrix(191,158,874,723) -> Matrix(3,-2,-4,3) Matrix(533,440,-1748,-1443) -> Matrix(1,-2,0,1) Matrix(457,376,-1292,-1063) -> Matrix(1,0,0,1) Matrix(227,186,-836,-685) -> Matrix(3,2,-2,-1) Matrix(683,558,836,683) -> Matrix(1,0,2,1) Matrix(1673,1364,2052,1673) -> Matrix(1,0,-12,1) Matrix(5435,4426,6954,5663) -> Matrix(1,0,-6,1) Matrix(6271,5106,10222,8323) -> Matrix(5,-2,-12,5) Matrix(2583,2102,-4484,-3649) -> Matrix(1,0,-2,1) Matrix(685,556,-1216,-987) -> Matrix(3,-2,2,-1) Matrix(493,398,-1178,-951) -> Matrix(1,-4,0,1) Matrix(569,450,-722,-571) -> Matrix(1,0,4,1) Matrix(3307,2604,5358,4219) -> Matrix(5,-2,-12,5) Matrix(493,388,-2850,-2243) -> Matrix(1,0,-4,1) Matrix(683,536,1064,835) -> Matrix(1,0,-4,1) Matrix(761,596,1748,1369) -> Matrix(3,-2,-4,3) Matrix(2015,1576,-5586,-4369) -> Matrix(1,-4,0,1) Matrix(8893,6952,-12540,-9803) -> Matrix(1,0,6,1) Matrix(5663,4426,6954,5435) -> Matrix(1,0,-6,1) Matrix(6459,5044,10412,8131) -> Matrix(1,0,-4,1) Matrix(12995,10146,16644,12995) -> Matrix(1,-2,-2,5) Matrix(7297,5696,9348,7297) -> Matrix(1,0,-2,1) Matrix(2279,1778,3116,2431) -> Matrix(1,0,-4,1) Matrix(191,148,-342,-265) -> Matrix(1,2,0,1) Matrix(1177,904,-1634,-1255) -> Matrix(3,2,-2,-1) Matrix(533,408,1292,989) -> Matrix(5,2,-8,-3) Matrix(987,754,1292,987) -> Matrix(1,0,6,1) Matrix(1217,928,1596,1217) -> Matrix(1,0,-12,1) Matrix(419,318,-950,-721) -> Matrix(5,-2,-2,1) Matrix(1443,1070,2356,1747) -> Matrix(3,2,-8,-5) Matrix(1025,758,-2622,-1939) -> Matrix(3,2,-2,-1) Matrix(645,476,874,645) -> Matrix(1,0,4,1) Matrix(419,308,570,419) -> Matrix(1,0,-6,1) Matrix(1027,752,3686,2699) -> Matrix(1,0,-4,1) Matrix(5511,4034,6802,4979) -> Matrix(1,0,-4,1) Matrix(7031,5146,9918,7259) -> Matrix(1,0,-8,1) Matrix(2431,1778,3116,2279) -> Matrix(1,0,-4,1) Matrix(227,166,-1976,-1445) -> Matrix(1,0,-2,1) Matrix(2167,1582,-3382,-2469) -> Matrix(1,0,0,1) Matrix(417,304,1406,1025) -> Matrix(3,-2,-4,3) Matrix(303,220,836,607) -> Matrix(1,0,-2,1) Matrix(3687,2672,6346,4599) -> Matrix(1,-4,-2,9) Matrix(1027,744,3306,2395) -> Matrix(1,-2,-2,5) Matrix(379,274,-1368,-989) -> Matrix(1,2,0,1) Matrix(2091,1508,-3002,-2165) -> Matrix(1,0,0,1) Matrix(2051,1478,3268,2355) -> Matrix(1,2,-4,-7) Matrix(39,28,266,191) -> Matrix(1,0,0,1) Matrix(379,270,532,379) -> Matrix(1,0,2,1) Matrix(1673,1188,2356,1673) -> Matrix(1,0,-20,1) Matrix(6651,4718,8626,6119) -> Matrix(1,0,-8,1) Matrix(3609,2558,-5738,-4067) -> Matrix(1,0,-2,1) Matrix(1139,806,-3116,-2205) -> Matrix(5,-2,-2,1) Matrix(1901,1344,-3116,-2203) -> Matrix(1,0,-2,1) Matrix(607,428,1292,911) -> Matrix(7,-4,-12,7) Matrix(1975,1392,9272,6535) -> Matrix(7,-6,-8,7) Matrix(7827,5516,12616,8891) -> Matrix(3,-2,-10,7) Matrix(835,588,-2052,-1445) -> Matrix(3,-2,-4,3) Matrix(799,562,-3078,-2165) -> Matrix(1,0,-2,1) Matrix(1747,1228,4864,3419) -> Matrix(3,-2,-4,3) Matrix(1065,748,-2812,-1975) -> Matrix(1,0,-2,1) Matrix(229,160,-760,-531) -> Matrix(1,-2,0,1) Matrix(609,424,1748,1217) -> Matrix(1,2,-2,-3) Matrix(265,184,-494,-343) -> Matrix(1,2,0,1) Matrix(113,78,494,341) -> Matrix(1,0,0,1) Matrix(533,366,-1216,-835) -> Matrix(7,2,-4,-1) Matrix(417,284,-950,-647) -> Matrix(5,-2,-2,1) Matrix(341,222,874,569) -> Matrix(3,-2,-4,3) Matrix(531,344,-1292,-837) -> Matrix(1,-2,0,1) Matrix(189,122,646,417) -> Matrix(3,-2,-4,3) Matrix(835,536,1064,683) -> Matrix(1,0,-4,1) Matrix(1711,1096,-6346,-4065) -> Matrix(1,0,-2,1) Matrix(191,122,418,267) -> Matrix(1,0,-2,1) Matrix(265,168,418,265) -> Matrix(1,0,-2,1) Matrix(647,408,1026,647) -> Matrix(1,0,-8,1) Matrix(1443,908,-4712,-2965) -> Matrix(1,0,-2,1) Matrix(5395,3392,7372,4635) -> Matrix(1,0,-6,1) Matrix(2471,1552,-4294,-2697) -> Matrix(1,0,-2,1) Matrix(1253,786,1634,1025) -> Matrix(1,0,-2,1) Matrix(797,496,-1406,-875) -> Matrix(1,0,0,1) Matrix(837,520,-2812,-1747) -> Matrix(1,-2,0,1) Matrix(8891,5516,12616,7827) -> Matrix(3,-2,-10,7) Matrix(8131,5044,10412,6459) -> Matrix(1,0,-4,1) Matrix(761,472,-2204,-1367) -> Matrix(1,0,-2,1) Matrix(1255,778,-3002,-1861) -> Matrix(5,-2,-2,1) Matrix(191,118,-798,-493) -> Matrix(3,-4,-2,3) Matrix(4787,2956,-8740,-5397) -> Matrix(1,-2,0,1) Matrix(12311,7600,17480,10791) -> Matrix(1,0,-4,1) Matrix(2051,1266,2584,1595) -> Matrix(1,-2,0,1) Matrix(305,188,988,609) -> Matrix(1,0,-2,1) Matrix(153,94,-988,-607) -> Matrix(3,-2,-4,3) Matrix(8323,5106,10222,6271) -> Matrix(1,-2,-4,9) Matrix(5471,3356,12388,7599) -> Matrix(5,-8,-8,13) Matrix(1709,1048,4522,2773) -> Matrix(1,-2,0,1) Matrix(647,396,-1178,-721) -> Matrix(1,-2,0,1) Matrix(1025,626,-2926,-1787) -> Matrix(1,0,0,1) Matrix(2697,1646,-11894,-7259) -> Matrix(1,0,0,1) Matrix(417,254,1558,949) -> Matrix(3,-2,-4,3) Matrix(1329,808,3686,2241) -> Matrix(1,2,-2,-3) Matrix(1787,1086,4066,2471) -> Matrix(1,2,-2,-3) Matrix(1293,784,-4636,-2811) -> Matrix(1,0,0,1) Matrix(1519,920,2508,1519) -> Matrix(1,0,-2,1) Matrix(229,138,380,229) -> Matrix(1,0,-4,1) Matrix(37,22,190,113) -> Matrix(1,0,-2,1) Matrix(647,382,1482,875) -> Matrix(1,0,-2,1) Matrix(455,268,-1292,-761) -> Matrix(1,-2,0,1) Matrix(419,246,1102,647) -> Matrix(1,-2,0,1) Matrix(379,222,2204,1291) -> Matrix(1,-2,2,-3) Matrix(1407,824,-6422,-3761) -> Matrix(11,-20,-6,11) Matrix(1217,712,-3116,-1823) -> Matrix(1,-4,0,1) Matrix(417,242,-722,-419) -> Matrix(1,-2,0,1) Matrix(229,132,-1976,-1139) -> Matrix(1,0,0,1) Matrix(2319,1336,-10222,-5889) -> Matrix(1,0,0,1) Matrix(15579,8962,25232,14515) -> Matrix(1,-2,-2,5) Matrix(8513,4896,-23256,-13375) -> Matrix(1,-4,0,1) Matrix(2203,1266,3040,1747) -> Matrix(1,-2,-2,5) Matrix(151,86,532,303) -> Matrix(1,0,-2,1) Matrix(113,64,-874,-495) -> Matrix(3,-2,-4,3) Matrix(379,214,1748,987) -> Matrix(1,0,-2,1) Matrix(3649,2058,-8892,-5015) -> Matrix(3,-4,-2,3) Matrix(8929,5034,12198,6877) -> Matrix(1,-2,-2,5) Matrix(381,214,-1216,-683) -> Matrix(1,-2,0,1) Matrix(5093,2856,13148,7373) -> Matrix(5,-8,-8,13) Matrix(7979,4474,11248,6307) -> Matrix(1,-2,-8,17) Matrix(721,404,1558,873) -> Matrix(1,0,-2,1) Matrix(379,210,684,379) -> Matrix(1,-6,-2,13) Matrix(1217,672,2204,1217) -> Matrix(1,12,-2,-23) Matrix(723,398,-1862,-1025) -> Matrix(1,0,0,1) Matrix(4561,2500,5548,3041) -> Matrix(1,0,0,1) Matrix(7713,4226,12274,6725) -> Matrix(1,0,-4,1) Matrix(873,478,1178,645) -> Matrix(1,0,0,1) Matrix(305,166,-836,-455) -> Matrix(1,-2,0,1) Matrix(1901,1028,-4636,-2507) -> Matrix(1,-2,0,1) Matrix(759,410,2812,1519) -> Matrix(3,-2,-4,3) Matrix(113,60,-646,-343) -> Matrix(1,-2,-2,5) Matrix(721,344,874,417) -> Matrix(1,-2,-2,5) Matrix(1065,502,1292,609) -> Matrix(1,6,-2,-11) Matrix(911,428,1292,607) -> Matrix(1,4,-4,-15) Matrix(911,424,-3268,-1521) -> Matrix(1,2,0,1) Matrix(761,352,988,457) -> Matrix(1,2,-2,-3) Matrix(267,122,418,191) -> Matrix(1,0,-2,1) Matrix(115,52,-418,-189) -> Matrix(1,-2,0,1) Matrix(493,218,2318,1025) -> Matrix(5,16,-6,-19) Matrix(7599,3356,12388,5471) -> Matrix(3,8,-8,-21) Matrix(4903,2164,-12654,-5585) -> Matrix(1,0,0,1) Matrix(227,100,-1900,-837) -> Matrix(1,2,-2,-3) Matrix(2471,1086,4066,1787) -> Matrix(1,2,-2,-3) Matrix(2545,1118,-7182,-3155) -> Matrix(1,2,0,1) Matrix(875,382,1482,647) -> Matrix(1,0,-2,1) Matrix(1369,596,1748,761) -> Matrix(1,2,-4,-7) Matrix(37,16,-266,-115) -> Matrix(1,0,0,1) Matrix(113,48,266,113) -> Matrix(1,0,-2,1) Matrix(495,208,1178,495) -> Matrix(1,10,-2,-19) Matrix(797,334,3534,1481) -> Matrix(1,4,-2,-7) Matrix(3687,1544,-10070,-4217) -> Matrix(1,2,0,1) Matrix(419,174,1558,647) -> Matrix(1,4,-2,-7) Matrix(343,142,-1558,-645) -> Matrix(1,0,0,1) Matrix(571,236,646,267) -> Matrix(1,2,-2,-3) Matrix(989,408,1292,533) -> Matrix(1,2,0,1) Matrix(7409,3042,-18050,-7411) -> Matrix(1,2,-2,-3) Matrix(1483,608,6954,2851) -> Matrix(5,6,-6,-7) Matrix(1445,592,1672,685) -> Matrix(1,2,-4,-7) Matrix(191,78,1026,419) -> Matrix(5,6,-6,-7) Matrix(685,278,-2432,-987) -> Matrix(1,0,0,1) Matrix(265,104,-874,-343) -> Matrix(1,2,0,1) Matrix(6993,2732,19456,7601) -> Matrix(3,4,-4,-5) Matrix(569,222,874,341) -> Matrix(1,2,-4,-7) Matrix(835,324,-3724,-1445) -> Matrix(1,4,0,1) Matrix(1481,574,5586,2165) -> Matrix(3,10,-4,-13) Matrix(18239,7066,43548,16871) -> Matrix(9,22,-16,-39) Matrix(7941,3076,10298,3989) -> Matrix(1,2,0,1) Matrix(419,162,494,191) -> Matrix(1,2,-2,-3) Matrix(115,44,-494,-189) -> Matrix(1,2,-2,-3) Matrix(647,246,1102,419) -> Matrix(3,2,-8,-5) Matrix(4295,1628,6118,2319) -> Matrix(1,2,-4,-7) Matrix(227,86,2204,835) -> Matrix(3,2,-2,-1) Matrix(2773,1048,4522,1709) -> Matrix(3,2,-8,-5) Matrix(911,344,-4028,-1521) -> Matrix(1,0,2,1) Matrix(265,98,-722,-267) -> Matrix(1,-2,0,1) Matrix(1709,626,6118,2241) -> Matrix(1,2,-2,-3) Matrix(80293,29390,127794,46777) -> Matrix(1,4,-6,-23) Matrix(79383,29056,126350,46247) -> Matrix(3,8,-14,-37) Matrix(8891,3254,20140,7371) -> Matrix(5,12,-8,-19) Matrix(607,220,836,303) -> Matrix(1,0,-2,1) Matrix(1291,466,-7372,-2661) -> Matrix(1,0,-2,1) Matrix(2241,808,3686,1329) -> Matrix(1,2,-2,-3) Matrix(2051,738,5700,2051) -> Matrix(1,4,-2,-7) Matrix(7297,2624,20292,7297) -> Matrix(11,20,-16,-29) Matrix(17023,6120,27056,9727) -> Matrix(1,2,-6,-11) Matrix(1747,628,1900,683) -> Matrix(1,2,-4,-7) Matrix(3419,1228,4864,1747) -> Matrix(1,2,-4,-7) Matrix(229,82,1064,381) -> Matrix(3,4,-4,-5) Matrix(343,122,1178,419) -> Matrix(3,4,-4,-5) Matrix(3609,1280,5890,2089) -> Matrix(3,2,-8,-5) Matrix(3383,1188,5738,2015) -> Matrix(3,2,-8,-5) Matrix(10259,3598,14516,5091) -> Matrix(1,0,-4,1) Matrix(1179,412,1634,571) -> Matrix(1,2,-2,-3) Matrix(2699,936,3838,1331) -> Matrix(1,0,-2,1) Matrix(37,12,114,37) -> Matrix(1,2,-2,-3) Matrix(2053,646,2660,837) -> Matrix(1,0,0,1) Matrix(951,296,1102,343) -> Matrix(1,0,-2,1) Matrix(2395,744,3306,1027) -> Matrix(1,-2,-2,5) Matrix(609,188,988,305) -> Matrix(1,0,-2,1) Matrix(3115,956,8664,2659) -> Matrix(3,-2,-4,3) Matrix(5207,1596,6574,2015) -> Matrix(1,0,0,1) Matrix(837,256,-3724,-1139) -> Matrix(1,0,0,1) Matrix(419,128,874,267) -> Matrix(1,0,-2,1) Matrix(1291,394,2736,835) -> Matrix(1,8,-2,-15) Matrix(4029,1220,5776,1749) -> Matrix(1,-6,-2,13) Matrix(4027,1218,5776,1747) -> Matrix(1,8,-2,-15) Matrix(683,204,760,227) -> Matrix(1,2,-2,-3) Matrix(1255,374,1406,419) -> Matrix(1,2,-4,-7) Matrix(1025,304,1406,417) -> Matrix(1,2,-4,-7) Matrix(115,34,646,191) -> Matrix(1,0,0,1) Matrix(417,122,646,189) -> Matrix(1,2,-4,-7) Matrix(419,122,1178,343) -> Matrix(3,4,-4,-5) Matrix(683,198,2356,683) -> Matrix(9,10,-10,-11) Matrix(153,44,532,153) -> Matrix(1,0,0,1) Matrix(1253,354,2014,569) -> Matrix(1,0,-2,1) Matrix(6991,1970,11324,3191) -> Matrix(3,2,-8,-5) Matrix(1597,448,1900,533) -> Matrix(1,0,-4,1) Matrix(229,64,-1900,-531) -> Matrix(1,0,-2,1) Matrix(1217,340,3268,913) -> Matrix(1,0,-2,1) Matrix(2699,752,3686,1027) -> Matrix(1,0,-4,1) Matrix(4181,1156,5776,1597) -> Matrix(1,-12,-2,25) Matrix(4179,1154,5776,1595) -> Matrix(1,14,-2,-27) Matrix(37,10,418,113) -> Matrix(1,2,-2,-3) Matrix(1519,410,2812,759) -> Matrix(1,2,-4,-7) Matrix(16873,4552,23104,6233) -> Matrix(7,8,-22,-25) Matrix(16871,4550,23104,6231) -> Matrix(5,4,-14,-11) Matrix(647,174,1558,419) -> Matrix(1,4,-2,-7) Matrix(949,254,1558,417) -> Matrix(1,2,-4,-7) Matrix(189,50,-722,-191) -> Matrix(3,4,-4,-5) Matrix(4713,1226,7600,1977) -> Matrix(1,0,-2,1) Matrix(913,236,2356,609) -> Matrix(5,2,-8,-3) Matrix(1481,352,2394,569) -> Matrix(9,10,-28,-31) Matrix(2091,494,3382,799) -> Matrix(13,12,-38,-35) Matrix(341,78,494,113) -> Matrix(1,0,0,1) Matrix(989,224,-5700,-1291) -> Matrix(1,0,-2,1) Matrix(1481,334,3534,797) -> Matrix(1,4,-2,-7) Matrix(11059,2426,18886,4143) -> Matrix(23,48,-58,-121) Matrix(9233,2024,15770,3457) -> Matrix(21,40,-52,-99) Matrix(723,158,874,191) -> Matrix(1,2,-4,-7) Matrix(987,214,1748,379) -> Matrix(1,0,-2,1) Matrix(381,82,1064,229) -> Matrix(3,4,-4,-5) Matrix(1255,268,2318,495) -> Matrix(3,4,-10,-13) Matrix(6535,1392,9272,1975) -> Matrix(5,6,-16,-19) Matrix(1025,218,2318,493) -> Matrix(13,16,-22,-27) Matrix(265,56,1254,265) -> Matrix(13,14,-14,-15) Matrix(39,8,190,39) -> Matrix(1,0,0,1) Matrix(113,22,190,37) -> Matrix(1,0,-2,1) Matrix(419,78,1026,191) -> Matrix(5,6,-6,-7) Matrix(379,70,2052,379) -> Matrix(19,20,-20,-21) Matrix(153,28,836,153) -> Matrix(9,8,-8,-7) Matrix(191,34,646,115) -> Matrix(1,0,0,1) Matrix(3459,608,4978,875) -> Matrix(7,4,-16,-9) Matrix(12539,2198,16036,2811) -> Matrix(13,6,-24,-11) Matrix(7865,1362,12502,2165) -> Matrix(1,0,-2,1) Matrix(1291,222,2204,379) -> Matrix(7,2,-18,-5) Matrix(113,18,-722,-115) -> Matrix(5,6,-6,-7) Matrix(191,28,266,39) -> Matrix(1,0,0,1) Matrix(1785,236,3154,417) -> Matrix(9,10,-28,-31) Matrix(1483,194,2622,343) -> Matrix(11,10,-32,-29) Matrix(37,4,342,37) -> Matrix(1,2,-2,-3) Matrix(533,54,760,77) -> Matrix(3,2,-8,-5) Matrix(343,32,418,39) -> Matrix(1,0,0,1) Matrix(1445,-166,1976,-227) -> Matrix(1,0,-2,1) Matrix(723,-86,950,-113) -> Matrix(1,0,-4,1) Matrix(115,-16,266,-37) -> Matrix(1,0,0,1) Matrix(607,-94,988,-153) -> Matrix(1,2,-4,-7) Matrix(723,-116,1178,-189) -> Matrix(5,4,-14,-11) Matrix(1747,-302,2204,-381) -> Matrix(1,0,0,1) Matrix(1215,-212,1748,-305) -> Matrix(1,0,-2,1) Matrix(645,-142,1558,-343) -> Matrix(1,0,0,1) Matrix(1027,-230,1862,-417) -> Matrix(9,4,-16,-7) Matrix(2051,-464,2356,-533) -> Matrix(1,0,2,1) Matrix(6383,-1446,8056,-1825) -> Matrix(1,0,2,1) Matrix(2317,-526,2850,-647) -> Matrix(1,0,-2,1) Matrix(189,-44,494,-115) -> Matrix(1,2,-2,-3) Matrix(191,-50,722,-189) -> Matrix(3,4,-4,-5) Matrix(3421,-908,4864,-1291) -> Matrix(5,4,-14,-11) Matrix(2887,-778,3952,-1065) -> Matrix(1,0,-2,1) Matrix(685,-186,836,-227) -> Matrix(3,2,-2,-1) Matrix(189,-52,418,-115) -> Matrix(3,2,-8,-5) Matrix(2811,-784,4636,-1293) -> Matrix(1,0,0,1) Matrix(2167,-606,2850,-797) -> Matrix(1,0,-2,1) Matrix(797,-224,950,-267) -> Matrix(1,0,-2,1) Matrix(3801,-1070,5396,-1519) -> Matrix(1,2,-4,-7) Matrix(1747,-520,2812,-837) -> Matrix(3,2,-8,-5) Matrix(343,-104,874,-265) -> Matrix(5,2,-8,-3) Matrix(1443,-440,1748,-533) -> Matrix(3,2,-8,-5) Matrix(3079,-942,5586,-1709) -> Matrix(9,4,-16,-7) Matrix(2965,-908,4712,-1443) -> Matrix(1,0,-2,1) Matrix(1027,-322,1330,-417) -> Matrix(1,0,0,1) Matrix(1367,-472,2204,-761) -> Matrix(1,0,-2,1) Matrix(761,-268,1292,-455) -> Matrix(3,2,-8,-5) Matrix(1063,-376,1292,-457) -> Matrix(1,0,0,1) Matrix(4369,-1576,5586,-2015) -> Matrix(7,4,-16,-9) Matrix(267,-98,722,-265) -> Matrix(3,2,-8,-5) Matrix(2393,-888,3382,-1255) -> Matrix(1,0,-2,1) Matrix(2737,-1018,6536,-2431) -> Matrix(9,4,-16,-7) Matrix(531,-200,608,-229) -> Matrix(1,0,0,1) Matrix(1975,-748,2812,-1065) -> Matrix(1,0,-2,1) Matrix(1597,-610,2584,-987) -> Matrix(7,6,-20,-17) Matrix(5585,-2164,12654,-4903) -> Matrix(1,0,0,1) Matrix(1025,-398,1862,-723) -> Matrix(1,0,0,1) Matrix(1823,-712,3116,-1217) -> Matrix(7,4,-16,-9) Matrix(875,-344,1254,-493) -> Matrix(7,4,-16,-9) Matrix(1445,-588,2052,-835) -> Matrix(1,2,-4,-7) Matrix(2507,-1028,4636,-1901) -> Matrix(3,2,-8,-5) Matrix(837,-344,1292,-531) -> Matrix(3,2,-8,-5) Matrix(6231,-2582,10640,-4409) -> Matrix(29,20,-74,-51) Matrix(951,-398,1178,-493) -> Matrix(7,4,-16,-9) Matrix(18239,-7640,29032,-12161) -> Matrix(11,6,-46,-25) Matrix(1291,-560,2280,-989) -> Matrix(1,2,-4,-7) Matrix(835,-366,1216,-533) -> Matrix(3,2,4,3) Matrix(4903,-2154,5966,-2621) -> Matrix(3,2,-8,-5) Matrix(721,-318,950,-419) -> Matrix(3,2,-14,-9) Matrix(797,-358,1102,-495) -> Matrix(9,4,-16,-7) Matrix(1291,-600,2128,-989) -> Matrix(3,2,-8,-5) Matrix(343,-184,494,-265) -> Matrix(5,2,-8,-3) Matrix(1291,-700,1824,-989) -> Matrix(1,0,-2,1) Matrix(721,-396,1178,-647) -> Matrix(3,2,-8,-5) Matrix(265,-148,342,-191) -> Matrix(5,2,-8,-3) Matrix(987,-556,1216,-685) -> Matrix(5,2,-18,-7) Matrix(875,-496,1406,-797) -> Matrix(1,0,0,1) Matrix(419,-242,722,-417) -> Matrix(3,2,-8,-5) Matrix(4105,-2386,6536,-3799) -> Matrix(5,2,-18,-7) Matrix(3989,-2320,4902,-2851) -> Matrix(5,2,-18,-7) Matrix(1861,-1084,2546,-1483) -> Matrix(5,2,-18,-7) Matrix(2165,-1266,2926,-1711) -> Matrix(5,2,2,1) Matrix(9159,-5398,12958,-7637) -> Matrix(5,2,-18,-7) Matrix(2203,-1344,3116,-1901) -> Matrix(1,0,-2,1) Matrix(9691,-5936,15694,-9613) -> Matrix(1,0,0,1) Matrix(1291,-800,1596,-989) -> Matrix(7,2,-18,-5) Matrix(4067,-2558,5738,-3609) -> Matrix(1,0,-2,1) Matrix(2469,-1582,3382,-2167) -> Matrix(1,0,0,1) Matrix(4559,-2958,5624,-3649) -> Matrix(1,0,0,1) Matrix(4219,-2740,5206,-3381) -> Matrix(7,2,-18,-5) Matrix(495,-338,722,-493) -> Matrix(1,0,6,1) Matrix(9539,-6626,12198,-8473) -> Matrix(7,4,-16,-9) Matrix(2165,-1508,3002,-2091) -> Matrix(1,0,0,1) Matrix(4637,-3276,5700,-4027) -> Matrix(1,0,0,1) Matrix(2129,-1510,2356,-1671) -> Matrix(1,0,6,1) Matrix(1255,-904,1634,-1177) -> Matrix(3,2,-2,-1) Matrix(797,-590,874,-647) -> Matrix(1,0,-2,1) Matrix(2203,-1722,2432,-1901) -> Matrix(1,0,0,1) Matrix(571,-450,722,-569) -> Matrix(1,0,4,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 72 Degree of the the map X: 72 Degree of the the map Y: 360 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.