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: 120 Genus: 133 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -6/7 -17/21 -11/14 -16/21 -3/4 -5/7 -29/42 -9/14 -53/84 -13/21 -7/12 -4/7 -47/84 -1/2 -123/280 -7/16 -3/7 -83/196 -47/112 -5/12 -23/56 -107/280 -8/21 -3/8 -5/14 -7/20 -13/42 -17/56 -25/84 -7/24 -2/7 -55/196 -5/18 -31/112 -15/56 -1/4 -27/112 -5/21 -53/224 -13/56 -5/22 -19/84 -37/168 -3/14 -5/24 -5/26 -4/21 -3/16 -5/27 -1/6 -3/20 -4/27 -1/7 -3/22 -3/23 -1/8 -1/10 0/1 1/11 1/10 1/9 2/17 1/8 2/15 1/7 3/20 2/13 3/19 1/6 4/23 3/17 5/28 2/11 3/16 4/21 5/26 1/5 5/24 4/19 3/14 2/9 3/13 5/21 6/25 1/4 5/18 7/25 2/7 7/24 13/42 1/3 7/20 5/14 3/8 8/21 11/28 2/5 5/12 3/7 7/16 13/28 7/15 1/2 15/28 4/7 7/12 17/28 13/21 9/14 2/3 29/42 5/7 3/4 16/21 11/14 17/21 23/28 6/7 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 1/26 -10/11 0/1 1/27 -9/10 0/1 2/49 -8/9 1/24 2/47 -15/17 2/47 1/23 -7/8 0/1 -13/15 3/71 2/47 -6/7 1/23 -17/20 1/23 -11/13 2/45 1/22 -16/19 0/1 1/23 -5/6 0/1 2/45 -19/23 1/23 2/45 -14/17 6/133 1/22 -23/28 1/22 -9/11 1/22 4/87 -13/16 2/43 -17/21 1/22 -21/26 0/1 2/43 -4/5 2/43 1/21 -19/24 2/43 -15/19 3/64 4/85 -11/14 1/21 -29/37 9/188 8/167 -18/23 6/125 5/104 -43/55 4/83 3/62 -25/32 4/83 -7/9 1/21 2/41 -17/22 6/125 4/83 -10/13 5/103 2/41 -23/30 2/41 12/245 -59/77 5/102 -36/47 2/41 5/102 -13/17 2/41 3/61 -29/38 4/81 14/283 -16/21 1/20 -19/25 0/1 1/20 -3/4 1/20 -23/31 1/20 4/79 -43/58 4/79 2/39 -20/27 1/20 2/39 -17/23 2/39 1/19 -14/19 5/99 4/79 -25/34 8/157 2/39 -36/49 3/59 -11/15 7/137 2/39 -19/26 2/39 12/233 -8/11 4/77 1/19 -21/29 2/39 1/19 -34/47 1/20 2/39 -13/18 2/39 4/77 -18/25 4/77 1/19 -5/7 1/19 -22/31 1/19 4/75 -61/86 6/113 4/75 -39/55 5/94 4/75 -17/24 4/75 -29/41 1/19 2/37 -12/17 3/56 2/37 -19/27 1/19 2/37 -7/10 4/75 2/37 -16/23 2/37 9/166 -25/36 3/55 -9/13 2/37 1/18 -29/42 1/18 -20/29 2/37 1/18 -11/16 2/37 -13/19 4/73 9/164 -2/3 1/18 2/35 -13/20 3/52 -24/37 4/69 17/293 -11/17 6/103 1/17 -9/14 1/17 -25/39 1/17 10/169 -41/64 8/135 -16/25 1/17 8/135 -7/11 4/67 3/50 -19/30 2/33 4/65 -12/19 0/1 1/17 -53/84 1/17 -41/65 1/17 6/101 -29/46 4/67 2/33 -17/27 1/17 2/33 -5/8 2/33 -18/29 2/33 1/16 -49/79 1/17 2/33 -31/50 0/1 2/33 -44/71 2/33 1/16 -13/21 1/16 -60/97 1/16 2/31 -47/76 1/15 -34/55 0/1 1/17 -55/89 2/31 1/15 -76/123 0/1 1/11 -21/34 0/1 2/35 -8/13 2/33 3/49 -19/31 4/65 1/16 -11/18 2/33 4/65 -36/59 11/178 6/97 -25/41 5/81 6/97 -39/64 8/129 -14/23 10/161 1/16 -17/28 1/16 -3/5 1/16 2/31 -16/27 1/16 2/31 -29/49 1/16 -13/22 4/63 2/31 -10/17 2/31 3/46 -17/29 2/31 1/15 -41/70 1/15 -24/41 1/16 2/31 -31/53 3/47 2/31 -38/65 2/31 3/46 -45/77 3/46 -7/12 1/15 -18/31 0/1 1/15 -29/50 0/1 2/31 -11/19 0/1 1/16 -15/26 2/31 4/61 -4/7 1/15 -17/30 0/1 2/29 -47/83 1/15 2/29 -30/53 2/29 1/14 -13/23 2/29 3/43 -22/39 1/14 2/27 -31/55 0/1 1/14 -9/16 0/1 -32/57 0/1 1/15 -23/41 2/31 1/15 -60/107 3/47 2/31 -37/66 2/31 4/61 -14/25 4/61 1/15 -47/84 1/15 -33/59 1/15 14/209 -19/34 6/89 4/59 -5/9 1/15 2/29 -16/29 2/29 1/14 -11/20 1/14 -6/11 0/1 1/13 -25/46 0/1 2/31 -19/35 1/15 -32/59 2/29 1/14 -13/24 2/29 -7/13 2/29 1/14 -15/28 1/14 -8/15 1/14 2/27 -1/2 0/1 2/27 -8/17 1/14 2/27 -7/15 2/27 1/13 -13/28 1/13 -6/13 1/13 2/25 -11/24 2/25 -27/59 1/13 2/25 -16/35 1/12 -21/46 0/1 2/23 -5/11 0/1 1/14 -14/31 1/13 4/51 -23/51 3/38 2/25 -32/71 2/25 1/12 -9/20 1/13 -22/49 1/13 -13/29 1/13 2/25 -4/9 2/25 1/12 -11/25 1/12 4/47 -40/91 1/12 -29/66 4/47 2/23 -76/173 7/81 2/23 -123/280 2/23 -47/107 2/23 3/34 -18/41 1/12 2/23 -43/98 1/11 -25/57 0/1 1/12 -7/16 0/1 -24/55 0/1 1/13 -41/94 0/1 2/31 -17/39 2/27 1/13 -10/23 3/38 2/25 -3/7 1/12 -14/33 5/58 2/23 -25/59 3/35 2/23 -36/85 1/12 2/23 -83/196 1/12 -47/111 1/12 4/47 -11/26 4/47 2/23 -8/19 0/1 1/11 -21/50 0/1 2/23 -34/81 0/1 1/11 -47/112 0/1 -13/31 0/1 1/12 -18/43 2/23 1/11 -23/55 0/1 1/10 -28/67 0/1 1/9 -33/79 2/27 1/13 -5/12 1/12 -27/65 3/35 2/23 -22/53 2/23 3/34 -17/41 2/23 1/11 -46/111 0/1 1/11 -29/70 1/12 -12/29 1/12 2/23 -7/17 3/35 2/23 -23/56 2/23 -16/39 2/23 7/80 -9/22 2/23 4/45 -20/49 1/11 -11/27 2/23 1/11 -24/59 1/12 2/23 -13/32 2/23 -2/5 2/23 1/11 -11/28 1/11 -9/23 1/11 10/109 -16/41 6/65 5/54 -23/59 6/65 11/119 -30/77 5/54 -7/18 4/43 2/21 -12/31 1/11 4/43 -17/44 1/11 -39/101 4/43 11/118 -22/57 4/43 7/75 -27/70 3/32 -5/13 3/32 2/21 -13/34 0/1 2/19 -60/157 0/1 1/3 -107/280 0/1 -47/123 0/1 1/16 -81/212 1/13 -34/89 1/12 2/23 -21/55 0/1 1/10 -50/131 0/1 1/17 -29/76 1/12 -8/21 1/11 -35/92 3/32 -27/71 1/11 2/21 -19/50 0/1 2/21 -11/29 1/11 2/21 -3/8 2/21 -10/27 2/21 1/10 -7/19 0/1 1/10 -11/30 4/43 2/21 -4/11 3/31 4/41 -13/36 1/10 -35/97 5/51 6/61 -22/61 6/61 7/71 -31/86 6/61 8/81 -9/25 8/81 1/10 -5/14 1/10 -11/31 1/10 8/79 -39/110 10/99 8/79 -28/79 1/10 6/59 -17/48 8/79 -6/17 1/10 6/59 -19/54 6/59 4/39 -13/37 17/166 4/39 -33/94 4/39 42/409 -20/57 4/39 11/107 -7/20 3/29 -8/23 2/19 3/28 -1/3 2/19 1/9 -7/22 8/71 6/53 -6/19 9/79 4/35 -17/54 4/35 10/87 -28/89 3/26 2/17 -39/124 7/61 -11/35 3/26 -5/16 2/17 -9/29 1/9 2/17 -13/42 1/9 -17/55 5/44 4/35 -4/13 1/9 2/17 -11/36 3/26 -18/59 7/60 2/17 -7/23 9/77 2/17 -17/56 2/17 -10/33 2/17 13/110 -3/10 2/17 4/33 -14/47 6/49 1/8 -25/84 1/8 -11/37 0/1 1/8 -8/27 2/17 1/8 -5/17 2/17 3/25 -22/75 4/33 13/107 -17/58 2/17 4/33 -12/41 2/17 1/8 -31/106 0/1 2/17 -50/171 2/17 9/76 -19/65 2/17 3/25 -7/24 4/33 -2/7 1/8 -9/32 4/31 -16/57 4/31 3/23 -55/196 3/23 -39/139 3/23 2/15 -23/82 4/31 2/15 -7/25 1/8 4/31 -5/18 4/31 2/15 -18/65 5/38 2/15 -31/112 2/15 -13/47 2/15 1/7 -8/29 1/8 2/15 -11/40 2/15 -3/11 1/8 4/31 -7/26 12/91 2/15 -11/41 19/143 2/15 -15/56 2/15 -4/15 2/15 7/52 -9/34 2/15 8/59 -14/53 3/22 22/161 -5/19 4/29 5/36 -6/23 1/8 2/15 -7/27 2/15 1/7 -1/4 1/7 -7/29 1/7 2/13 -27/112 2/13 -20/83 2/13 1/6 -13/54 0/1 2/13 -6/25 0/1 1/7 -11/46 0/1 2/13 -5/21 1/7 -14/59 7/48 6/41 -9/38 14/95 4/27 -31/131 45/304 4/27 -53/224 4/27 -22/93 4/27 31/209 -13/55 4/27 3/20 -4/17 3/20 2/13 -11/47 5/33 2/13 -7/30 12/79 2/13 -10/43 17/111 2/13 -13/56 2/13 -3/13 2/13 5/32 -5/22 4/25 6/37 -12/53 14/85 1/6 -19/84 1/6 -7/31 1/6 4/23 -2/9 2/13 1/6 -13/59 5/33 2/13 -37/168 2/13 -24/109 2/13 13/84 -11/50 2/13 8/51 -9/41 2/13 3/19 -7/32 4/25 -12/55 3/19 4/25 -5/23 5/31 6/37 -3/14 1/6 -7/33 7/41 6/35 -4/19 4/23 3/17 -9/43 1/6 2/11 -5/24 2/11 -11/53 2/11 1/5 -6/29 1/6 2/11 -1/5 1/6 2/11 -6/31 0/1 1/5 -5/26 0/1 2/11 -9/47 2/11 1/5 -13/68 3/16 -4/21 1/5 -19/100 1/4 -15/79 2/11 1/5 -11/58 0/1 2/9 -7/37 0/1 1/8 -3/16 2/11 -5/27 2/11 1/5 -2/11 4/21 1/5 -5/28 1/5 -3/17 1/5 6/29 -4/23 2/9 1/4 -5/29 1/5 2/9 -1/6 0/1 2/9 -3/19 0/1 1/4 -5/32 2/9 -2/13 1/5 2/9 -3/20 1/4 -4/27 2/9 1/4 -1/7 1/4 -3/22 0/1 2/7 -2/15 2/7 3/10 -3/23 1/3 2/5 -7/54 0/1 2/7 -4/31 0/1 1/3 -1/8 0/1 -2/17 1/4 2/7 -1/9 2/7 1/3 -1/10 0/1 2/5 -1/11 0/1 1/0 0/1 0/1 1/1 1/11 0/1 1/2 1/10 -2/1 0/1 1/9 -1/1 -2/3 2/17 -2/3 -1/2 1/8 0/1 2/15 -3/4 -2/3 1/7 -1/2 3/20 -1/2 2/13 -2/5 -1/3 3/19 -1/2 0/1 1/6 -2/5 0/1 4/23 -1/2 -2/5 3/17 -6/17 -1/3 5/28 -1/3 2/11 -1/3 -4/13 3/16 -2/7 4/21 -1/3 5/26 -2/7 0/1 1/5 -2/7 -1/4 5/24 -2/7 4/19 -3/11 -4/15 3/14 -1/4 8/37 -9/37 -8/33 5/23 -6/25 -5/21 12/55 -4/17 -3/13 7/32 -4/17 2/9 -1/4 -2/9 5/22 -6/25 -4/17 3/13 -5/22 -2/9 7/30 -2/9 -12/55 18/77 -5/23 11/47 -2/9 -5/23 4/17 -2/9 -3/14 9/38 -4/19 -14/67 5/21 -1/5 6/25 -1/5 0/1 1/4 -1/5 8/31 -1/5 -4/21 15/58 -4/21 -2/11 7/27 -1/5 -2/11 6/23 -2/11 -1/6 5/19 -5/26 -4/21 9/34 -8/43 -2/11 13/49 -3/16 4/15 -7/38 -2/11 7/26 -2/11 -12/67 3/11 -4/23 -1/6 8/29 -2/11 -1/6 13/47 -1/5 -2/11 5/18 -2/11 -4/23 7/25 -4/23 -1/6 2/7 -1/6 9/31 -1/6 -4/25 25/86 -6/37 -4/25 16/55 -5/31 -4/25 7/24 -4/25 12/41 -1/6 -2/13 5/17 -3/19 -2/13 8/27 -1/6 -2/13 3/10 -4/25 -2/13 7/23 -2/13 -9/59 11/36 -3/20 4/13 -2/13 -1/7 13/42 -1/7 9/29 -2/13 -1/7 5/16 -2/13 6/19 -4/27 -9/61 1/3 -1/7 -2/15 7/20 -3/23 13/37 -4/31 -17/132 6/17 -6/47 -1/8 5/14 -1/8 14/39 -1/8 -10/81 23/64 -8/65 9/25 -1/8 -8/65 4/11 -4/33 -3/25 11/30 -2/17 -4/35 7/19 -1/8 0/1 31/84 -1/8 24/65 -1/8 -6/49 17/46 -4/33 -2/17 10/27 -1/8 -2/17 3/8 -2/17 11/29 -2/17 -1/9 30/79 -1/8 -2/17 19/50 -2/17 0/1 27/71 -2/17 -1/9 8/21 -1/9 37/97 -1/9 -2/19 29/76 -1/10 21/55 -1/8 0/1 34/89 -2/19 -1/10 47/123 -1/14 0/1 13/34 -2/15 0/1 5/13 -2/17 -3/26 12/31 -4/35 -1/9 7/18 -2/17 -4/35 23/59 -11/97 -6/53 16/41 -5/44 -6/53 25/64 -8/71 9/23 -10/89 -1/9 11/28 -1/9 2/5 -1/9 -2/19 11/27 -1/9 -2/19 20/49 -1/9 9/22 -4/37 -2/19 7/17 -2/19 -3/29 12/29 -2/19 -1/10 29/70 -1/10 17/41 -1/9 -2/19 22/53 -3/28 -2/19 27/65 -2/19 -3/29 32/77 -3/29 5/12 -1/10 13/31 -1/10 0/1 21/50 -2/19 0/1 8/19 -1/9 0/1 11/26 -2/19 -4/39 3/7 -1/10 13/30 -2/21 0/1 36/83 -1/10 -2/21 23/53 -2/21 -1/11 10/23 -2/21 -3/32 17/39 -1/11 -2/23 24/55 -1/11 0/1 7/16 0/1 25/57 -1/10 0/1 18/41 -2/19 -1/10 47/107 -3/28 -2/19 29/66 -2/19 -4/39 11/25 -4/39 -1/10 37/84 -1/10 26/59 -1/10 -14/141 15/34 -6/61 -4/41 4/9 -1/10 -2/21 13/29 -2/21 -1/11 9/20 -1/11 5/11 -1/12 0/1 21/46 -2/19 0/1 16/35 -1/10 27/59 -2/21 -1/11 11/24 -2/21 6/13 -2/21 -1/11 13/28 -1/11 7/15 -1/11 -2/23 1/2 -2/23 0/1 9/17 -1/11 -2/23 8/15 -2/23 -1/12 15/28 -1/12 7/13 -1/12 -2/25 13/24 -2/25 32/59 -1/12 -2/25 19/35 -1/13 25/46 -2/27 0/1 6/11 -1/11 0/1 17/31 -1/12 -4/49 28/51 -3/37 -2/25 39/71 -2/25 -1/13 11/20 -1/12 27/49 -1/12 16/29 -1/12 -2/25 5/9 -2/25 -1/13 14/25 -1/13 -4/53 51/91 -1/13 37/66 -4/53 -2/27 97/173 -7/94 -2/27 157/280 -2/27 60/107 -2/27 -3/41 23/41 -1/13 -2/27 55/98 -1/14 32/57 -1/13 0/1 9/16 0/1 31/55 -1/12 0/1 53/94 -2/19 0/1 22/39 -2/23 -1/12 13/23 -3/37 -2/25 4/7 -1/13 19/33 -5/67 -2/27 34/59 -3/40 -2/27 49/85 -1/13 -2/27 113/196 -1/13 64/111 -1/13 -4/53 15/26 -4/53 -2/27 11/19 -1/14 0/1 29/50 -2/27 0/1 47/81 -1/14 0/1 65/112 0/1 18/31 -1/13 0/1 25/43 -2/27 -1/14 32/55 -1/15 0/1 39/67 -1/16 0/1 46/79 -2/23 -1/12 7/12 -1/13 38/65 -3/40 -2/27 31/53 -2/27 -3/41 24/41 -2/27 -1/14 65/111 -1/14 0/1 41/70 -1/13 17/29 -1/13 -2/27 10/17 -3/40 -2/27 33/56 -2/27 23/39 -2/27 -7/95 13/22 -2/27 -4/55 29/49 -1/14 16/27 -2/27 -1/14 35/59 -1/13 -2/27 19/32 -2/27 3/5 -2/27 -1/14 17/28 -1/14 14/23 -1/14 -10/141 25/41 -6/85 -5/71 36/59 -6/85 -11/156 47/77 -5/71 11/18 -4/57 -2/29 19/31 -1/14 -4/57 27/44 -1/14 62/101 -4/57 -11/157 35/57 -4/57 -7/100 43/70 -3/43 8/13 -3/43 -2/29 21/34 -2/31 0/1 97/157 -1/22 0/1 173/280 0/1 76/123 -1/9 0/1 131/212 -1/12 55/89 -1/13 -2/27 34/55 -1/15 0/1 81/131 -1/8 0/1 47/76 -1/13 13/21 -1/14 57/92 -3/43 44/71 -1/14 -2/29 31/50 -2/29 0/1 18/29 -1/14 -2/29 5/8 -2/29 17/27 -2/29 -1/15 12/19 -1/15 0/1 19/30 -4/57 -2/29 7/11 -3/44 -4/59 23/36 -1/15 62/97 -5/74 -6/89 39/61 -6/89 -7/104 55/86 -6/89 -8/119 16/25 -8/119 -1/15 9/14 -1/15 20/31 -1/15 -8/121 71/110 -10/151 -8/121 51/79 -1/15 -6/91 31/48 -8/121 11/17 -1/15 -6/91 35/54 -6/91 -4/61 24/37 -17/259 -4/61 61/94 -4/61 -42/641 37/57 -4/61 -11/168 13/20 -3/46 15/23 -2/31 -3/47 2/3 -2/31 -1/16 15/22 -8/129 -6/97 13/19 -9/146 -4/65 37/54 -4/65 -10/163 61/89 -3/49 -2/33 85/124 -7/114 24/35 -3/49 11/16 -2/33 20/29 -1/16 -2/33 29/42 -1/16 38/55 -5/81 -4/65 9/13 -1/16 -2/33 25/36 -3/49 41/59 -7/115 -2/33 16/23 -9/148 -2/33 39/56 -2/33 23/33 -2/33 -13/215 7/10 -2/33 -4/67 33/47 -6/101 -1/17 59/84 -1/17 26/37 -1/17 0/1 19/27 -2/33 -1/17 12/17 -2/33 -3/50 53/75 -4/67 -13/218 41/58 -2/33 -4/67 29/41 -2/33 -1/17 75/106 -2/33 0/1 121/171 -2/33 -9/149 46/65 -2/33 -3/50 17/24 -4/67 5/7 -1/17 23/32 -4/69 41/57 -4/69 -3/52 141/196 -3/52 100/139 -3/52 -2/35 59/82 -4/69 -2/35 18/25 -1/17 -4/69 13/18 -4/69 -2/35 47/65 -5/87 -2/35 81/112 -2/35 34/47 -2/35 -1/18 21/29 -1/17 -2/35 29/40 -2/35 8/11 -1/17 -4/69 19/26 -12/209 -2/35 30/41 -19/332 -2/35 41/56 -2/35 11/15 -2/35 -7/123 25/34 -2/35 -8/141 39/53 -3/53 -22/389 14/19 -4/71 -5/89 17/23 -1/17 -2/35 20/27 -2/35 -1/18 3/4 -1/18 22/29 -1/18 -2/37 85/112 -2/37 63/83 -2/37 -1/19 41/54 -2/37 0/1 19/25 -1/18 0/1 35/46 -2/37 0/1 16/21 -1/18 45/59 -7/127 -6/109 29/38 -14/255 -4/73 100/131 -45/821 -4/73 171/224 -4/73 71/93 -4/73 -31/566 42/55 -4/73 -3/55 13/17 -3/55 -2/37 36/47 -5/92 -2/37 23/30 -12/221 -2/37 33/43 -17/314 -2/37 43/56 -2/37 10/13 -2/37 -5/93 17/22 -4/75 -6/113 41/53 -14/265 -1/19 65/84 -1/19 24/31 -1/19 -4/77 7/9 -2/37 -1/19 46/59 -5/92 -2/37 131/168 -2/37 85/109 -2/37 -13/241 39/50 -2/37 -8/149 32/41 -2/37 -3/56 25/32 -4/75 43/55 -3/56 -4/75 18/23 -5/94 -6/113 11/14 -1/19 26/33 -7/134 -6/115 15/19 -4/77 -3/58 34/43 -1/19 -2/39 19/24 -2/39 42/53 -2/39 -1/20 23/29 -1/19 -2/39 4/5 -1/19 -2/39 25/31 -1/20 0/1 21/26 -2/39 0/1 38/47 -2/39 -1/20 55/68 -3/59 17/21 -1/20 81/100 -1/21 64/79 -2/39 -1/20 47/58 -2/41 0/1 30/37 -1/17 0/1 13/16 -2/39 22/27 -2/39 -1/20 9/11 -4/79 -1/20 23/28 -1/20 14/17 -1/20 -6/121 19/23 -2/41 -1/21 24/29 -1/20 -2/41 5/6 -2/41 0/1 16/19 -1/21 0/1 27/32 -2/41 11/13 -1/20 -2/41 17/20 -1/21 23/27 -2/41 -1/21 6/7 -1/21 19/22 -2/43 0/1 13/15 -2/43 -3/65 20/23 -1/22 -2/45 47/54 -2/43 0/1 27/31 -1/22 0/1 7/8 0/1 15/17 -1/21 -2/43 8/9 -2/43 -1/22 9/10 -2/45 0/1 10/11 -1/25 0/1 1/1 -1/24 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(447,412,728,671) (-1/1,-10/11) -> (62/101,35/57) Hyperbolic Matrix(335,304,616,559) (-10/11,-9/10) -> (25/46,6/11) Hyperbolic Matrix(393,352,1064,953) (-9/10,-8/9) -> (24/65,17/46) Hyperbolic Matrix(729,644,952,841) (-8/9,-15/17) -> (13/17,36/47) Hyperbolic Matrix(615,542,952,839) (-15/17,-7/8) -> (31/48,11/17) Hyperbolic Matrix(785,682,-1288,-1119) (-7/8,-13/15) -> (-25/41,-39/64) Hyperbolic Matrix(617,534,-840,-727) (-13/15,-6/7) -> (-36/49,-11/15) Hyperbolic Matrix(503,428,-1120,-953) (-6/7,-17/20) -> (-9/20,-22/49) Hyperbolic Matrix(505,428,728,617) (-17/20,-11/13) -> (9/13,25/36) Hyperbolic Matrix(223,188,-1064,-897) (-11/13,-16/19) -> (-4/19,-9/43) Hyperbolic Matrix(447,376,1064,895) (-16/19,-5/6) -> (21/50,8/19) Hyperbolic Matrix(1007,834,-1624,-1345) (-5/6,-19/23) -> (-49/79,-31/50) Hyperbolic Matrix(727,600,1288,1063) (-19/23,-14/17) -> (22/39,13/23) Hyperbolic Matrix(783,644,952,783) (-14/17,-23/28) -> (23/28,14/17) Hyperbolic Matrix(505,414,616,505) (-23/28,-9/11) -> (9/11,23/28) Hyperbolic Matrix(169,138,-616,-503) (-9/11,-13/16) -> (-11/40,-3/11) Hyperbolic Matrix(281,228,-896,-727) (-13/16,-17/21) -> (-11/35,-5/16) Hyperbolic Matrix(2017,1630,-2632,-2127) (-17/21,-21/26) -> (-23/30,-59/77) Hyperbolic Matrix(727,586,-2016,-1625) (-21/26,-4/5) -> (-22/61,-31/86) Hyperbolic Matrix(113,90,-280,-223) (-4/5,-19/24) -> (-13/32,-2/5) Hyperbolic Matrix(167,132,-1064,-841) (-19/24,-15/19) -> (-3/19,-5/32) Hyperbolic Matrix(615,484,-784,-617) (-15/19,-11/14) -> (-11/14,-29/37) Parabolic Matrix(337,264,1288,1009) (-29/37,-18/23) -> (6/23,5/19) Hyperbolic Matrix(2353,1840,6160,4817) (-18/23,-43/55) -> (21/55,34/89) Hyperbolic Matrix(2577,2014,3584,2801) (-43/55,-25/32) -> (23/32,41/57) Hyperbolic Matrix(671,524,-2296,-1793) (-25/32,-7/9) -> (-19/65,-7/24) Hyperbolic Matrix(281,218,-504,-391) (-7/9,-17/22) -> (-19/34,-5/9) Hyperbolic Matrix(449,346,728,561) (-17/22,-10/13) -> (8/13,21/34) Hyperbolic Matrix(391,300,-1680,-1289) (-10/13,-23/30) -> (-7/30,-10/43) Hyperbolic Matrix(5041,3862,-8624,-6607) (-59/77,-36/47) -> (-38/65,-45/77) Hyperbolic Matrix(841,644,952,729) (-36/47,-13/17) -> (15/17,8/9) Hyperbolic Matrix(1343,1026,-3080,-2353) (-13/17,-29/38) -> (-41/94,-17/39) Hyperbolic Matrix(1287,982,-3304,-2521) (-29/38,-16/21) -> (-30/77,-7/18) Hyperbolic Matrix(1231,936,-2800,-2129) (-16/21,-19/25) -> (-11/25,-40/91) Hyperbolic Matrix(167,126,-224,-169) (-19/25,-3/4) -> (-3/4,-23/31) Parabolic Matrix(3023,2242,3472,2575) (-23/31,-43/58) -> (47/54,27/31) Hyperbolic Matrix(1511,1120,-6272,-4649) (-43/58,-20/27) -> (-20/83,-13/54) Hyperbolic Matrix(1065,788,1288,953) (-20/27,-17/23) -> (19/23,24/29) Hyperbolic Matrix(279,206,1288,951) (-17/23,-14/19) -> (8/37,5/23) Hyperbolic Matrix(337,248,-1064,-783) (-14/19,-25/34) -> (-7/22,-6/19) Hyperbolic Matrix(1121,824,2744,2017) (-25/34,-36/49) -> (20/49,9/22) Hyperbolic Matrix(391,286,-1456,-1065) (-11/15,-19/26) -> (-7/26,-11/41) Hyperbolic Matrix(225,164,616,449) (-19/26,-8/11) -> (4/11,11/30) Hyperbolic Matrix(113,82,-616,-447) (-8/11,-21/29) -> (-5/27,-2/11) Hyperbolic Matrix(727,526,1624,1175) (-21/29,-34/47) -> (4/9,13/29) Hyperbolic Matrix(559,404,-2016,-1457) (-34/47,-13/18) -> (-5/18,-18/65) Hyperbolic Matrix(391,282,1008,727) (-13/18,-18/25) -> (12/31,7/18) Hyperbolic Matrix(279,200,-392,-281) (-18/25,-5/7) -> (-5/7,-22/31) Parabolic Matrix(3081,2186,4816,3417) (-22/31,-61/86) -> (55/86,16/25) Hyperbolic Matrix(4647,3296,-10976,-7785) (-61/86,-39/55) -> (-47/111,-11/26) Hyperbolic Matrix(2407,1706,3080,2183) (-39/55,-17/24) -> (25/32,43/55) Hyperbolic Matrix(503,356,-2296,-1625) (-17/24,-29/41) -> (-9/41,-7/32) Hyperbolic Matrix(447,316,-952,-673) (-29/41,-12/17) -> (-8/17,-7/15) Hyperbolic Matrix(559,394,952,671) (-12/17,-19/27) -> (17/29,10/17) Hyperbolic Matrix(953,670,-1512,-1063) (-19/27,-7/10) -> (-29/46,-17/27) Hyperbolic Matrix(169,118,-560,-391) (-7/10,-16/23) -> (-10/33,-3/10) Hyperbolic Matrix(449,312,-1288,-895) (-16/23,-25/36) -> (-7/20,-8/23) Hyperbolic Matrix(617,428,728,505) (-25/36,-9/13) -> (11/13,17/20) Hyperbolic Matrix(561,388,-1456,-1007) (-9/13,-29/42) -> (-27/70,-5/13) Hyperbolic Matrix(1345,928,3248,2241) (-29/42,-20/29) -> (12/29,29/70) Hyperbolic Matrix(729,502,896,617) (-20/29,-11/16) -> (13/16,22/27) Hyperbolic Matrix(169,116,-896,-615) (-11/16,-13/19) -> (-7/37,-3/16) Hyperbolic Matrix(281,192,-1064,-727) (-13/19,-2/3) -> (-14/53,-5/19) Hyperbolic Matrix(393,256,-1288,-839) (-2/3,-13/20) -> (-11/36,-18/59) Hyperbolic Matrix(2073,1346,-5432,-3527) (-13/20,-24/37) -> (-50/131,-29/76) Hyperbolic Matrix(559,362,-1904,-1233) (-24/37,-11/17) -> (-5/17,-22/75) Hyperbolic Matrix(503,324,-784,-505) (-11/17,-9/14) -> (-9/14,-25/39) Parabolic Matrix(1233,790,1400,897) (-25/39,-41/64) -> (7/8,15/17) Hyperbolic Matrix(281,180,-2184,-1399) (-41/64,-16/25) -> (-4/31,-1/8) Hyperbolic Matrix(279,178,-616,-393) (-16/25,-7/11) -> (-5/11,-14/31) Hyperbolic Matrix(167,106,616,391) (-7/11,-19/30) -> (7/26,3/11) Hyperbolic Matrix(449,284,1064,673) (-19/30,-12/19) -> (8/19,11/26) Hyperbolic Matrix(3305,2086,4704,2969) (-12/19,-53/84) -> (59/84,26/37) Hyperbolic Matrix(6607,4168,9408,5935) (-53/84,-41/65) -> (33/47,59/84) Hyperbolic Matrix(111,70,1064,671) (-41/65,-29/46) -> (1/10,1/9) Hyperbolic Matrix(169,106,448,281) (-17/27,-5/8) -> (3/8,11/29) Hyperbolic Matrix(167,104,448,279) (-5/8,-18/29) -> (10/27,3/8) Hyperbolic Matrix(2073,1286,2800,1737) (-18/29,-49/79) -> (17/23,20/27) Hyperbolic Matrix(2801,1736,-9576,-5935) (-31/50,-44/71) -> (-12/41,-31/106) Hyperbolic Matrix(2183,1352,-3528,-2185) (-44/71,-13/21) -> (-13/21,-60/97) Parabolic Matrix(6943,4294,10864,6719) (-60/97,-47/76) -> (23/36,62/97) Hyperbolic Matrix(1905,1178,-5432,-3359) (-47/76,-34/55) -> (-20/57,-7/20) Hyperbolic Matrix(1343,830,6160,3807) (-34/55,-55/89) -> (5/23,12/55) Hyperbolic Matrix(6551,4048,-15680,-9689) (-55/89,-76/123) -> (-28/67,-33/79) Hyperbolic Matrix(3639,2248,-9520,-5881) (-76/123,-21/34) -> (-13/34,-60/157) Hyperbolic Matrix(561,346,728,449) (-21/34,-8/13) -> (10/13,17/22) Hyperbolic Matrix(727,446,-1736,-1065) (-8/13,-19/31) -> (-13/31,-18/43) Hyperbolic Matrix(281,172,1008,617) (-19/31,-11/18) -> (5/18,7/25) Hyperbolic Matrix(783,478,-3304,-2017) (-11/18,-36/59) -> (-14/59,-9/38) Hyperbolic Matrix(1905,1162,4592,2801) (-36/59,-25/41) -> (17/41,22/53) Hyperbolic Matrix(2183,1330,-6160,-3753) (-39/64,-14/23) -> (-28/79,-17/48) Hyperbolic Matrix(783,476,1288,783) (-14/23,-17/28) -> (17/28,14/23) Hyperbolic Matrix(169,102,280,169) (-17/28,-3/5) -> (3/5,17/28) Hyperbolic Matrix(57,34,-280,-167) (-3/5,-16/27) -> (-6/29,-1/5) Hyperbolic Matrix(1513,896,2744,1625) (-16/27,-29/49) -> (27/49,16/29) Hyperbolic Matrix(727,430,2744,1623) (-29/49,-13/22) -> (9/34,13/49) Hyperbolic Matrix(505,298,-1232,-727) (-13/22,-10/17) -> (-16/39,-9/22) Hyperbolic Matrix(671,394,952,559) (-10/17,-17/29) -> (19/27,12/17) Hyperbolic Matrix(1007,590,3248,1903) (-17/29,-41/70) -> (13/42,9/29) Hyperbolic Matrix(3023,1770,-6888,-4033) (-41/70,-24/41) -> (-18/41,-43/98) Hyperbolic Matrix(1791,1048,4592,2687) (-24/41,-31/53) -> (23/59,16/41) Hyperbolic Matrix(951,556,-4312,-2521) (-31/53,-38/65) -> (-2/9,-13/59) Hyperbolic Matrix(3135,1832,-9968,-5825) (-45/77,-7/12) -> (-39/124,-11/35) Hyperbolic Matrix(671,390,-1736,-1009) (-7/12,-18/31) -> (-12/31,-17/44) Hyperbolic Matrix(2351,1364,-5600,-3249) (-18/31,-29/50) -> (-21/50,-34/81) Hyperbolic Matrix(169,98,1064,617) (-29/50,-11/19) -> (3/19,1/6) Hyperbolic Matrix(391,226,1064,615) (-11/19,-15/26) -> (11/30,7/19) Hyperbolic Matrix(223,128,-392,-225) (-15/26,-4/7) -> (-4/7,-17/30) Parabolic Matrix(3079,1744,-10976,-6217) (-17/30,-47/83) -> (-39/139,-23/82) Hyperbolic Matrix(4705,2664,5936,3361) (-47/83,-30/53) -> (42/53,23/29) Hyperbolic Matrix(841,476,1288,729) (-30/53,-13/23) -> (15/23,2/3) Hyperbolic Matrix(1063,600,1288,727) (-13/23,-22/39) -> (14/17,19/23) Hyperbolic Matrix(727,410,-3080,-1737) (-22/39,-31/55) -> (-13/55,-4/17) Hyperbolic Matrix(785,442,1792,1009) (-31/55,-9/16) -> (7/16,25/57) Hyperbolic Matrix(783,440,1792,1007) (-9/16,-32/57) -> (24/55,7/16) Hyperbolic Matrix(2855,1602,-6888,-3865) (-32/57,-23/41) -> (-17/41,-46/111) Hyperbolic Matrix(5321,2984,9688,5433) (-23/41,-60/107) -> (28/51,39/71) Hyperbolic Matrix(8119,4552,-18480,-10361) (-60/107,-37/66) -> (-29/66,-76/173) Hyperbolic Matrix(671,376,-2800,-1569) (-37/66,-14/25) -> (-6/25,-11/46) Hyperbolic Matrix(3641,2038,4704,2633) (-14/25,-47/84) -> (65/84,24/31) Hyperbolic Matrix(7279,4072,9408,5263) (-47/84,-33/59) -> (41/53,65/84) Hyperbolic Matrix(2801,1566,3808,2129) (-33/59,-19/34) -> (25/34,39/53) Hyperbolic Matrix(449,248,1624,897) (-5/9,-16/29) -> (8/29,13/47) Hyperbolic Matrix(167,92,-1120,-617) (-16/29,-11/20) -> (-3/20,-4/27) Hyperbolic Matrix(223,122,-616,-337) (-11/20,-6/11) -> (-4/11,-13/36) Hyperbolic Matrix(559,304,616,335) (-6/11,-25/46) -> (9/10,10/11) Hyperbolic Matrix(3641,1978,6496,3529) (-25/46,-19/35) -> (51/91,37/66) Hyperbolic Matrix(4033,2188,6608,3585) (-19/35,-32/59) -> (36/59,47/77) Hyperbolic Matrix(2129,1154,2688,1457) (-32/59,-13/24) -> (19/24,42/53) Hyperbolic Matrix(281,152,-1344,-727) (-13/24,-7/13) -> (-9/43,-5/24) Hyperbolic Matrix(391,210,728,391) (-7/13,-15/28) -> (15/28,7/13) Hyperbolic Matrix(449,240,840,449) (-15/28,-8/15) -> (8/15,15/28) Hyperbolic Matrix(279,148,-952,-505) (-8/15,-1/2) -> (-17/58,-12/41) Hyperbolic Matrix(335,158,-952,-449) (-1/2,-8/17) -> (-6/17,-19/54) Hyperbolic Matrix(391,182,840,391) (-7/15,-13/28) -> (13/28,7/15) Hyperbolic Matrix(337,156,728,337) (-13/28,-6/13) -> (6/13,13/28) Hyperbolic Matrix(113,52,-728,-335) (-6/13,-11/24) -> (-5/32,-2/13) Hyperbolic Matrix(1961,898,3304,1513) (-11/24,-27/59) -> (35/59,19/32) Hyperbolic Matrix(2519,1152,3304,1511) (-27/59,-16/35) -> (16/21,45/59) Hyperbolic Matrix(1961,896,2576,1177) (-16/35,-21/46) -> (35/46,16/21) Hyperbolic Matrix(57,26,616,281) (-21/46,-5/11) -> (1/11,1/10) Hyperbolic Matrix(337,152,-1736,-783) (-14/31,-23/51) -> (-1/5,-6/31) Hyperbolic Matrix(4255,1918,9688,4367) (-23/51,-32/71) -> (18/41,47/107) Hyperbolic Matrix(4927,2220,7952,3583) (-32/71,-9/20) -> (57/92,44/71) Hyperbolic Matrix(1119,502,2744,1231) (-22/49,-13/29) -> (11/27,20/49) Hyperbolic Matrix(1175,526,1624,727) (-13/29,-4/9) -> (34/47,21/29) Hyperbolic Matrix(113,50,-504,-223) (-4/9,-11/25) -> (-7/31,-2/9) Hyperbolic Matrix(2967,1304,6496,2855) (-40/91,-29/66) -> (21/46,16/35) Hyperbolic Matrix(43961,19312,78400,34441) (-76/173,-123/280) -> (157/280,60/107) Hyperbolic Matrix(43959,19310,78400,34439) (-123/280,-47/107) -> (97/173,157/280) Hyperbolic Matrix(8233,3616,12880,5657) (-47/107,-18/41) -> (62/97,39/61) Hyperbolic Matrix(5881,2580,9576,4201) (-43/98,-25/57) -> (35/57,43/70) Hyperbolic Matrix(1009,442,1792,785) (-25/57,-7/16) -> (9/16,31/55) Hyperbolic Matrix(1007,440,1792,783) (-7/16,-24/55) -> (32/57,9/16) Hyperbolic Matrix(3695,1612,-10528,-4593) (-24/55,-41/94) -> (-33/94,-20/57) Hyperbolic Matrix(225,98,1288,561) (-17/39,-10/23) -> (4/23,3/17) Hyperbolic Matrix(167,72,-392,-169) (-10/23,-3/7) -> (-3/7,-14/33) Parabolic Matrix(2297,974,3304,1401) (-14/33,-25/59) -> (41/59,16/23) Hyperbolic Matrix(3919,1660,6608,2799) (-25/59,-36/85) -> (16/27,35/59) Hyperbolic Matrix(31585,13376,43904,18593) (-36/85,-83/196) -> (141/196,100/139) Hyperbolic Matrix(23687,10030,32928,13943) (-83/196,-47/111) -> (41/57,141/196) Hyperbolic Matrix(673,284,1064,449) (-11/26,-8/19) -> (12/19,19/30) Hyperbolic Matrix(895,376,1064,447) (-8/19,-21/50) -> (5/6,16/19) Hyperbolic Matrix(7281,3056,12544,5265) (-34/81,-47/112) -> (65/112,18/31) Hyperbolic Matrix(7279,3054,12544,5263) (-47/112,-13/31) -> (47/81,65/112) Hyperbolic Matrix(951,398,-3080,-1289) (-18/43,-23/55) -> (-17/55,-4/13) Hyperbolic Matrix(617,258,672,281) (-23/55,-28/67) -> (10/11,1/1) Hyperbolic Matrix(1681,702,-8848,-3695) (-33/79,-5/12) -> (-19/100,-15/79) Hyperbolic Matrix(953,396,-4984,-2071) (-5/12,-27/65) -> (-9/47,-13/68) Hyperbolic Matrix(4257,1768,-14560,-6047) (-27/65,-22/53) -> (-50/171,-19/65) Hyperbolic Matrix(2801,1162,4592,1905) (-22/53,-17/41) -> (25/41,36/59) Hyperbolic Matrix(5879,2436,8512,3527) (-46/111,-29/70) -> (29/42,38/55) Hyperbolic Matrix(2241,928,3248,1345) (-29/70,-12/29) -> (20/29,29/42) Hyperbolic Matrix(281,116,952,393) (-12/29,-7/17) -> (5/17,8/27) Hyperbolic Matrix(1849,760,3136,1289) (-7/17,-23/56) -> (33/56,23/39) Hyperbolic Matrix(1847,758,3136,1287) (-23/56,-16/39) -> (10/17,33/56) Hyperbolic Matrix(1063,434,1232,503) (-9/22,-20/49) -> (6/7,19/22) Hyperbolic Matrix(1289,526,1512,617) (-20/49,-11/27) -> (23/27,6/7) Hyperbolic Matrix(3809,1550,6608,2689) (-11/27,-24/59) -> (34/59,49/85) Hyperbolic Matrix(1791,728,3304,1343) (-24/59,-13/32) -> (13/24,32/59) Hyperbolic Matrix(111,44,280,111) (-2/5,-11/28) -> (11/28,2/5) Hyperbolic Matrix(505,198,1288,505) (-11/28,-9/23) -> (9/23,11/28) Hyperbolic Matrix(169,66,-1288,-503) (-9/23,-16/41) -> (-2/15,-3/23) Hyperbolic Matrix(2687,1048,4592,1791) (-16/41,-23/59) -> (31/53,24/41) Hyperbolic Matrix(3023,1178,6608,2575) (-23/59,-30/77) -> (16/35,27/59) Hyperbolic Matrix(727,282,1008,391) (-7/18,-12/31) -> (18/25,13/18) Hyperbolic Matrix(10249,3958,-26824,-10359) (-17/44,-39/101) -> (-47/123,-81/212) Hyperbolic Matrix(57,22,728,281) (-39/101,-22/57) -> (0/1,1/11) Hyperbolic Matrix(5375,2074,9576,3695) (-22/57,-27/70) -> (55/98,32/57) Hyperbolic Matrix(167,64,728,279) (-5/13,-13/34) -> (5/22,3/13) Hyperbolic Matrix(48441,18512,78400,29961) (-60/157,-107/280) -> (173/280,76/123) Hyperbolic Matrix(48439,18510,78400,29959) (-107/280,-47/123) -> (97/157,173/280) Hyperbolic Matrix(9407,3594,-29904,-11425) (-81/212,-34/89) -> (-28/89,-39/124) Hyperbolic Matrix(4817,1840,6160,2353) (-34/89,-21/55) -> (43/55,18/23) Hyperbolic Matrix(2913,1112,-12320,-4703) (-21/55,-50/131) -> (-22/93,-13/55) Hyperbolic Matrix(1343,512,-3528,-1345) (-29/76,-8/21) -> (-8/21,-35/92) Parabolic Matrix(4369,1662,7952,3025) (-35/92,-27/71) -> (39/71,11/20) Hyperbolic Matrix(1231,468,-5600,-2129) (-27/71,-19/50) -> (-11/50,-9/41) Hyperbolic Matrix(279,106,-1624,-617) (-19/50,-11/29) -> (-5/29,-1/6) Hyperbolic Matrix(281,106,448,169) (-11/29,-3/8) -> (5/8,17/27) Hyperbolic Matrix(279,104,448,167) (-3/8,-10/27) -> (18/29,5/8) Hyperbolic Matrix(449,166,-1512,-559) (-10/27,-7/19) -> (-11/37,-8/27) Hyperbolic Matrix(615,226,1064,391) (-7/19,-11/30) -> (15/26,11/19) Hyperbolic Matrix(449,164,616,225) (-11/30,-4/11) -> (8/11,19/26) Hyperbolic Matrix(4145,1496,10864,3921) (-13/36,-35/97) -> (37/97,29/76) Hyperbolic Matrix(7223,2606,12880,4647) (-35/97,-22/61) -> (60/107,23/41) Hyperbolic Matrix(1399,504,4816,1735) (-31/86,-9/25) -> (9/31,25/86) Hyperbolic Matrix(279,100,-784,-281) (-9/25,-5/14) -> (-5/14,-11/31) Parabolic Matrix(3361,1192,4424,1569) (-11/31,-39/110) -> (41/54,19/25) Hyperbolic Matrix(10753,3812,13272,4705) (-39/110,-28/79) -> (64/79,47/58) Hyperbolic Matrix(113,40,952,337) (-17/48,-6/17) -> (2/17,1/8) Hyperbolic Matrix(2071,728,3024,1063) (-19/54,-13/37) -> (13/19,37/54) Hyperbolic Matrix(3247,1140,-13720,-4817) (-13/37,-33/94) -> (-9/38,-31/131) Hyperbolic Matrix(559,194,1288,447) (-8/23,-1/3) -> (23/53,10/23) Hyperbolic Matrix(953,304,1232,393) (-1/3,-7/22) -> (17/22,41/53) Hyperbolic Matrix(1961,618,3024,953) (-6/19,-17/54) -> (35/54,24/37) Hyperbolic Matrix(5263,1656,6048,1903) (-17/54,-28/89) -> (20/23,47/54) Hyperbolic Matrix(1177,366,1624,505) (-5/16,-9/29) -> (21/29,29/40) Hyperbolic Matrix(1903,590,3248,1007) (-9/29,-13/42) -> (41/70,17/29) Hyperbolic Matrix(4985,1542,8512,2633) (-13/42,-17/55) -> (65/111,41/70) Hyperbolic Matrix(111,34,728,223) (-4/13,-11/36) -> (3/20,2/13) Hyperbolic Matrix(1903,580,3304,1007) (-18/59,-7/23) -> (19/33,34/59) Hyperbolic Matrix(2185,664,3136,953) (-7/23,-17/56) -> (39/56,23/33) Hyperbolic Matrix(2183,662,3136,951) (-17/56,-10/33) -> (16/23,39/56) Hyperbolic Matrix(503,150,560,167) (-3/10,-14/47) -> (8/9,9/10) Hyperbolic Matrix(3473,1034,9408,2801) (-14/47,-25/84) -> (31/84,24/65) Hyperbolic Matrix(1735,516,4704,1399) (-25/84,-11/37) -> (7/19,31/84) Hyperbolic Matrix(393,116,952,281) (-8/27,-5/17) -> (7/17,12/29) Hyperbolic Matrix(5265,1544,6496,1905) (-22/75,-17/58) -> (47/58,30/37) Hyperbolic Matrix(4425,1294,-20104,-5879) (-31/106,-50/171) -> (-24/109,-11/50) Hyperbolic Matrix(111,32,-392,-113) (-7/24,-2/7) -> (-2/7,-9/32) Parabolic Matrix(783,220,3584,1007) (-9/32,-16/57) -> (12/55,7/32) Hyperbolic Matrix(18985,5328,32928,9241) (-16/57,-55/196) -> (113/196,64/111) Hyperbolic Matrix(25311,7102,43904,12319) (-55/196,-39/139) -> (49/85,113/196) Hyperbolic Matrix(2575,722,3192,895) (-23/82,-7/25) -> (25/31,21/26) Hyperbolic Matrix(617,172,1008,281) (-7/25,-5/18) -> (11/18,19/31) Hyperbolic Matrix(9073,2512,12544,3473) (-18/65,-31/112) -> (81/112,34/47) Hyperbolic Matrix(9071,2510,12544,3471) (-31/112,-13/47) -> (47/65,81/112) Hyperbolic Matrix(897,248,1624,449) (-13/47,-8/29) -> (16/29,5/9) Hyperbolic Matrix(1119,308,1624,447) (-8/29,-11/40) -> (11/16,20/29) Hyperbolic Matrix(391,106,616,167) (-3/11,-7/26) -> (19/30,7/11) Hyperbolic Matrix(2297,616,3136,841) (-11/41,-15/56) -> (41/56,11/15) Hyperbolic Matrix(2295,614,3136,839) (-15/56,-4/15) -> (30/41,41/56) Hyperbolic Matrix(113,30,-840,-223) (-4/15,-9/34) -> (-3/22,-2/15) Hyperbolic Matrix(1679,444,3808,1007) (-9/34,-14/53) -> (26/59,15/34) Hyperbolic Matrix(839,220,1064,279) (-5/19,-6/23) -> (26/33,15/19) Hyperbolic Matrix(1063,276,2800,727) (-6/23,-7/27) -> (11/29,30/79) Hyperbolic Matrix(55,14,-224,-57) (-7/27,-1/4) -> (-1/4,-7/29) Parabolic Matrix(9521,2296,12544,3025) (-7/29,-27/112) -> (85/112,63/83) Hyperbolic Matrix(9519,2294,12544,3023) (-27/112,-20/83) -> (22/29,85/112) Hyperbolic Matrix(2855,686,4424,1063) (-13/54,-6/25) -> (20/31,71/110) Hyperbolic Matrix(1399,334,2576,615) (-11/46,-5/21) -> (19/35,25/46) Hyperbolic Matrix(1793,426,3304,785) (-5/21,-14/59) -> (32/59,19/35) Hyperbolic Matrix(38305,9064,50176,11873) (-31/131,-53/224) -> (171/224,71/93) Hyperbolic Matrix(38303,9062,50176,11871) (-53/224,-22/93) -> (100/131,171/224) Hyperbolic Matrix(111,26,952,223) (-4/17,-11/47) -> (1/9,2/17) Hyperbolic Matrix(505,118,-2632,-615) (-11/47,-7/30) -> (-5/26,-9/47) Hyperbolic Matrix(2409,560,3136,729) (-10/43,-13/56) -> (43/56,10/13) Hyperbolic Matrix(2407,558,3136,727) (-13/56,-3/13) -> (33/43,43/56) Hyperbolic Matrix(279,64,728,167) (-3/13,-5/22) -> (13/34,5/13) Hyperbolic Matrix(839,190,1232,279) (-5/22,-12/53) -> (2/3,15/22) Hyperbolic Matrix(4145,938,9408,2129) (-12/53,-19/84) -> (37/84,26/59) Hyperbolic Matrix(2071,468,4704,1063) (-19/84,-7/31) -> (11/25,37/84) Hyperbolic Matrix(22009,4848,28224,6217) (-13/59,-37/168) -> (131/168,85/109) Hyperbolic Matrix(22007,4846,28224,6215) (-37/168,-24/109) -> (46/59,131/168) Hyperbolic Matrix(897,196,3080,673) (-7/32,-12/55) -> (16/55,7/24) Hyperbolic Matrix(3807,830,6160,1343) (-12/55,-5/23) -> (55/89,34/55) Hyperbolic Matrix(167,36,-784,-169) (-5/23,-3/14) -> (-3/14,-7/33) Parabolic Matrix(785,166,1064,225) (-7/33,-4/19) -> (14/19,17/23) Hyperbolic Matrix(1231,256,2688,559) (-5/24,-11/53) -> (27/59,11/24) Hyperbolic Matrix(2575,534,5936,1231) (-11/53,-6/29) -> (36/83,23/53) Hyperbolic Matrix(2297,444,3192,617) (-6/31,-5/26) -> (59/82,18/25) Hyperbolic Matrix(671,128,-3528,-673) (-13/68,-4/21) -> (-4/21,-19/100) Parabolic Matrix(8567,1626,13272,2519) (-15/79,-11/58) -> (71/110,51/79) Hyperbolic Matrix(4591,870,6496,1231) (-11/58,-7/37) -> (53/75,41/58) Hyperbolic Matrix(279,52,896,167) (-3/16,-5/27) -> (9/29,5/16) Hyperbolic Matrix(111,20,616,111) (-2/11,-5/28) -> (5/28,2/11) Hyperbolic Matrix(169,30,952,169) (-5/28,-3/17) -> (3/17,5/28) Hyperbolic Matrix(561,98,1288,225) (-3/17,-4/23) -> (10/23,17/39) Hyperbolic Matrix(335,58,1288,223) (-4/23,-5/29) -> (7/27,6/23) Hyperbolic Matrix(617,98,1064,169) (-1/6,-3/19) -> (11/19,29/50) Hyperbolic Matrix(223,34,728,111) (-2/13,-3/20) -> (11/36,4/13) Hyperbolic Matrix(895,132,1512,223) (-4/27,-1/7) -> (29/49,16/27) Hyperbolic Matrix(729,100,1232,169) (-1/7,-3/22) -> (13/22,29/49) Hyperbolic Matrix(4145,538,6048,785) (-3/23,-7/54) -> (37/54,61/89) Hyperbolic Matrix(897,116,3472,449) (-7/54,-4/31) -> (8/31,15/58) Hyperbolic Matrix(503,60,1400,167) (-1/8,-2/17) -> (14/39,23/64) Hyperbolic Matrix(223,26,952,111) (-2/17,-1/9) -> (11/47,4/17) Hyperbolic Matrix(393,40,560,57) (-1/9,-1/10) -> (7/10,33/47) Hyperbolic Matrix(281,26,616,57) (-1/10,-1/11) -> (5/11,21/46) Hyperbolic Matrix(391,32,672,55) (-1/11,0/1) -> (32/55,39/67) Hyperbolic Matrix(503,-66,1288,-169) (1/8,2/15) -> (16/41,25/64) Hyperbolic Matrix(223,-30,840,-113) (2/15,1/7) -> (13/49,4/15) Hyperbolic Matrix(617,-92,1120,-167) (1/7,3/20) -> (11/20,27/49) Hyperbolic Matrix(841,-132,1064,-167) (2/13,3/19) -> (15/19,34/43) Hyperbolic Matrix(617,-106,1624,-279) (1/6,4/23) -> (30/79,19/50) Hyperbolic Matrix(447,-82,616,-113) (2/11,3/16) -> (29/40,8/11) Hyperbolic Matrix(615,-116,896,-169) (3/16,4/21) -> (24/35,11/16) Hyperbolic Matrix(615,-118,2632,-505) (4/21,5/26) -> (7/30,18/77) Hyperbolic Matrix(1289,-250,2016,-391) (5/26,1/5) -> (39/61,55/86) Hyperbolic Matrix(167,-34,280,-57) (1/5,5/24) -> (19/32,3/5) Hyperbolic Matrix(897,-188,1064,-223) (5/24,4/19) -> (16/19,27/32) Hyperbolic Matrix(169,-36,784,-167) (4/19,3/14) -> (3/14,8/37) Parabolic Matrix(1625,-356,2296,-503) (7/32,2/9) -> (46/65,17/24) Hyperbolic Matrix(223,-50,504,-113) (2/9,5/22) -> (15/34,4/9) Hyperbolic Matrix(1289,-300,1680,-391) (3/13,7/30) -> (23/30,33/43) Hyperbolic Matrix(3583,-838,8624,-2017) (18/77,11/47) -> (27/65,32/77) Hyperbolic Matrix(1737,-410,3080,-727) (4/17,9/38) -> (53/94,22/39) Hyperbolic Matrix(2017,-478,3304,-783) (9/38,5/21) -> (47/77,11/18) Hyperbolic Matrix(1569,-376,2800,-671) (5/21,6/25) -> (14/25,51/91) Hyperbolic Matrix(57,-14,224,-55) (6/25,1/4) -> (1/4,8/31) Parabolic Matrix(4761,-1232,6272,-1623) (15/58,7/27) -> (63/83,41/54) Hyperbolic Matrix(727,-192,1064,-281) (5/19,9/34) -> (15/22,13/19) Hyperbolic Matrix(1065,-286,1456,-391) (4/15,7/26) -> (19/26,30/41) Hyperbolic Matrix(503,-138,616,-169) (3/11,8/29) -> (22/27,9/11) Hyperbolic Matrix(1457,-404,2016,-559) (13/47,5/18) -> (13/18,47/65) Hyperbolic Matrix(113,-32,392,-111) (7/25,2/7) -> (2/7,9/31) Parabolic Matrix(6329,-1840,10976,-3191) (25/86,16/55) -> (64/111,15/26) Hyperbolic Matrix(1793,-524,2296,-671) (7/24,12/41) -> (32/41,25/32) Hyperbolic Matrix(505,-148,952,-279) (12/41,5/17) -> (9/17,8/15) Hyperbolic Matrix(559,-166,1512,-449) (8/27,3/10) -> (17/46,10/27) Hyperbolic Matrix(391,-118,560,-169) (3/10,7/23) -> (23/33,7/10) Hyperbolic Matrix(839,-256,1288,-393) (7/23,11/36) -> (13/20,15/23) Hyperbolic Matrix(895,-276,1456,-449) (4/13,13/42) -> (43/70,8/13) Hyperbolic Matrix(727,-228,896,-281) (5/16,6/19) -> (30/37,13/16) Hyperbolic Matrix(783,-248,1064,-337) (6/19,1/3) -> (39/53,14/19) Hyperbolic Matrix(895,-312,1288,-449) (1/3,7/20) -> (25/36,41/59) Hyperbolic Matrix(3359,-1178,5432,-1905) (7/20,13/37) -> (81/131,47/76) Hyperbolic Matrix(1345,-474,1904,-671) (13/37,6/17) -> (12/17,53/75) Hyperbolic Matrix(281,-100,784,-279) (6/17,5/14) -> (5/14,14/39) Parabolic Matrix(1903,-684,2184,-785) (23/64,9/25) -> (27/31,7/8) Hyperbolic Matrix(337,-122,616,-223) (9/25,4/11) -> (6/11,17/31) Hyperbolic Matrix(6775,-2576,9576,-3641) (19/50,27/71) -> (29/41,75/106) Hyperbolic Matrix(1345,-512,3528,-1343) (27/71,8/21) -> (8/21,37/97) Parabolic Matrix(3527,-1346,5432,-2073) (29/76,21/55) -> (37/57,13/20) Hyperbolic Matrix(9129,-3488,15680,-5991) (34/89,47/123) -> (39/67,46/79) Hyperbolic Matrix(5881,-2248,9520,-3639) (47/123,13/34) -> (21/34,97/157) Hyperbolic Matrix(1009,-390,1736,-671) (5/13,12/31) -> (18/31,25/43) Hyperbolic Matrix(2521,-982,3304,-1287) (7/18,23/59) -> (45/59,29/38) Hyperbolic Matrix(3977,-1554,6160,-2407) (25/64,9/23) -> (51/79,31/48) Hyperbolic Matrix(223,-90,280,-113) (2/5,11/27) -> (23/29,4/5) Hyperbolic Matrix(727,-298,1232,-505) (9/22,7/17) -> (23/39,13/22) Hyperbolic Matrix(3865,-1602,6888,-2855) (29/70,17/41) -> (23/41,55/98) Hyperbolic Matrix(3361,-1396,4312,-1791) (22/53,27/65) -> (7/9,46/59) Hyperbolic Matrix(6833,-2840,9968,-4143) (32/77,5/12) -> (85/124,24/35) Hyperbolic Matrix(1065,-446,1736,-727) (5/12,13/31) -> (19/31,27/44) Hyperbolic Matrix(3249,-1364,5600,-2351) (13/31,21/50) -> (29/50,47/81) Hyperbolic Matrix(169,-72,392,-167) (11/26,3/7) -> (3/7,13/30) Parabolic Matrix(7897,-3424,10976,-4759) (13/30,36/83) -> (100/139,59/82) Hyperbolic Matrix(2353,-1026,3080,-1343) (17/39,24/55) -> (42/55,13/17) Hyperbolic Matrix(4033,-1770,6888,-3023) (25/57,18/41) -> (24/41,65/111) Hyperbolic Matrix(10361,-4552,18480,-8119) (47/107,29/66) -> (37/66,97/173) Hyperbolic Matrix(2129,-936,2800,-1231) (29/66,11/25) -> (19/25,35/46) Hyperbolic Matrix(953,-428,1120,-503) (13/29,9/20) -> (17/20,23/27) Hyperbolic Matrix(393,-178,616,-279) (9/20,5/11) -> (7/11,23/36) Hyperbolic Matrix(1063,-488,1344,-617) (11/24,6/13) -> (34/43,19/24) Hyperbolic Matrix(673,-316,952,-447) (7/15,1/2) -> (41/58,29/41) Hyperbolic Matrix(617,-326,952,-503) (1/2,9/17) -> (11/17,35/54) Hyperbolic Matrix(615,-332,728,-393) (7/13,13/24) -> (27/32,11/13) Hyperbolic Matrix(1399,-768,1736,-953) (17/31,28/51) -> (4/5,25/31) Hyperbolic Matrix(391,-218,504,-281) (5/9,14/25) -> (24/31,7/9) Hyperbolic Matrix(6833,-3852,10528,-5935) (31/55,53/94) -> (61/94,37/57) Hyperbolic Matrix(225,-128,392,-223) (13/23,4/7) -> (4/7,19/33) Parabolic Matrix(2129,-1238,3080,-1791) (25/43,32/55) -> (38/55,9/13) Hyperbolic Matrix(7167,-4174,8848,-5153) (46/79,7/12) -> (81/100,64/79) Hyperbolic Matrix(4031,-2356,4984,-2913) (7/12,38/65) -> (38/47,55/68) Hyperbolic Matrix(10303,-6024,14560,-8513) (38/65,31/53) -> (121/171,46/65) Hyperbolic Matrix(1119,-682,1288,-785) (14/23,25/41) -> (13/15,20/23) Hyperbolic Matrix(16575,-10174,26824,-16465) (27/44,62/101) -> (76/123,131/212) Hyperbolic Matrix(20497,-12666,29904,-18479) (131/212,55/89) -> (61/89,85/124) Hyperbolic Matrix(9407,-5816,12320,-7617) (34/55,81/131) -> (71/93,42/55) Hyperbolic Matrix(2185,-1352,3528,-2183) (47/76,13/21) -> (13/21,57/92) Parabolic Matrix(4369,-2708,5600,-3471) (44/71,31/50) -> (39/50,32/41) Hyperbolic Matrix(1345,-834,1624,-1007) (31/50,18/29) -> (24/29,5/6) Hyperbolic Matrix(1063,-670,1512,-953) (17/27,12/19) -> (26/37,19/27) Hyperbolic Matrix(505,-324,784,-503) (16/25,9/14) -> (9/14,20/31) Parabolic Matrix(10473,-6796,13720,-8903) (24/37,61/94) -> (29/38,100/131) Hyperbolic Matrix(15679,-11094,20104,-14225) (75/106,121/171) -> (85/109,39/50) Hyperbolic Matrix(281,-200,392,-279) (17/24,5/7) -> (5/7,23/32) Parabolic Matrix(727,-534,840,-617) (11/15,25/34) -> (19/22,13/15) Hyperbolic Matrix(169,-126,224,-167) (20/27,3/4) -> (3/4,22/29) Parabolic Matrix(2127,-1630,2632,-2017) (36/47,23/30) -> (21/26,38/47) Hyperbolic Matrix(617,-484,784,-615) (18/23,11/14) -> (11/14,26/33) Parabolic Matrix(2857,-2312,3528,-2855) (55/68,17/21) -> (17/21,81/100) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-50,1) Matrix(447,412,728,671) -> Matrix(97,-4,-1382,57) Matrix(335,304,616,559) -> Matrix(1,0,-38,1) Matrix(393,352,1064,953) -> Matrix(97,-4,-800,33) Matrix(729,644,952,841) -> Matrix(187,-8,-3436,147) Matrix(615,542,952,839) -> Matrix(185,-8,-2798,121) Matrix(785,682,-1288,-1119) -> Matrix(191,-8,3080,-129) Matrix(617,534,-840,-727) -> Matrix(187,-8,3670,-157) Matrix(503,428,-1120,-953) -> Matrix(1,0,-10,1) Matrix(505,428,728,617) -> Matrix(89,-4,-1446,65) Matrix(223,188,-1064,-897) -> Matrix(89,-4,512,-23) Matrix(447,376,1064,895) -> Matrix(1,0,-32,1) Matrix(1007,834,-1624,-1345) -> Matrix(1,0,-6,1) Matrix(727,600,1288,1063) -> Matrix(89,-4,-1090,49) Matrix(783,644,952,783) -> Matrix(265,-12,-5322,241) Matrix(505,414,616,505) -> Matrix(175,-8,-3478,159) Matrix(169,138,-616,-503) -> Matrix(1,0,-14,1) Matrix(281,228,-896,-727) -> Matrix(85,-4,744,-35) Matrix(2017,1630,-2632,-2127) -> Matrix(259,-12,5288,-245) Matrix(727,586,-2016,-1625) -> Matrix(175,-8,1772,-81) Matrix(113,90,-280,-223) -> Matrix(1,0,-10,1) Matrix(167,132,-1064,-841) -> Matrix(85,-4,404,-19) Matrix(615,484,-784,-617) -> Matrix(253,-12,5292,-251) Matrix(337,264,1288,1009) -> Matrix(83,-4,-394,19) Matrix(2353,1840,6160,4817) -> Matrix(83,-4,-726,35) Matrix(2577,2014,3584,2801) -> Matrix(1,0,-38,1) Matrix(671,524,-2296,-1793) -> Matrix(165,-8,1382,-67) Matrix(281,218,-504,-391) -> Matrix(1,0,-6,1) Matrix(449,346,728,561) -> Matrix(83,-4,-1224,59) Matrix(391,300,-1680,-1289) -> Matrix(491,-24,3212,-157) Matrix(5041,3862,-8624,-6607) -> Matrix(81,-4,1276,-63) Matrix(841,644,952,729) -> Matrix(163,-8,-3484,171) Matrix(1343,1026,-3080,-2353) -> Matrix(81,-4,1114,-55) Matrix(1287,982,-3304,-2521) -> Matrix(485,-24,5234,-259) Matrix(1231,936,-2800,-2129) -> Matrix(81,-4,952,-47) Matrix(167,126,-224,-169) -> Matrix(81,-4,1600,-79) Matrix(3023,2242,3472,2575) -> Matrix(79,-4,-1718,87) Matrix(1511,1120,-6272,-4649) -> Matrix(79,-4,494,-25) Matrix(1065,788,1288,953) -> Matrix(1,0,-40,1) Matrix(279,206,1288,951) -> Matrix(81,-4,-344,17) Matrix(337,248,-1064,-783) -> Matrix(315,-16,2776,-141) Matrix(1121,824,2744,2017) -> Matrix(79,-4,-770,39) Matrix(391,286,-1456,-1065) -> Matrix(467,-24,3522,-181) Matrix(225,164,616,449) -> Matrix(155,-8,-1298,67) Matrix(113,82,-616,-447) -> Matrix(1,0,-14,1) Matrix(727,526,1624,1175) -> Matrix(1,0,-30,1) Matrix(559,404,-2016,-1457) -> Matrix(155,-8,1182,-61) Matrix(391,282,1008,727) -> Matrix(1,0,-28,1) Matrix(279,200,-392,-281) -> Matrix(153,-8,2888,-151) Matrix(3081,2186,4816,3417) -> Matrix(227,-12,-3386,179) Matrix(4647,3296,-10976,-7785) -> Matrix(301,-16,3518,-187) Matrix(2407,1706,3080,2183) -> Matrix(151,-8,-2850,151) Matrix(503,356,-2296,-1625) -> Matrix(149,-8,950,-51) Matrix(447,316,-952,-673) -> Matrix(75,-4,994,-53) Matrix(559,394,952,671) -> Matrix(1,0,-32,1) Matrix(953,670,-1512,-1063) -> Matrix(1,0,-2,1) Matrix(169,118,-560,-391) -> Matrix(149,-8,1248,-67) Matrix(449,312,-1288,-895) -> Matrix(221,-12,2118,-115) Matrix(617,428,728,505) -> Matrix(73,-4,-1478,81) Matrix(561,388,-1456,-1007) -> Matrix(147,-8,1562,-85) Matrix(1345,928,3248,2241) -> Matrix(1,0,-28,1) Matrix(729,502,896,617) -> Matrix(1,0,-38,1) Matrix(169,116,-896,-615) -> Matrix(73,-4,420,-23) Matrix(281,192,-1064,-727) -> Matrix(291,-16,2128,-117) Matrix(393,256,-1288,-839) -> Matrix(209,-12,1794,-103) Matrix(2073,1346,-5432,-3527) -> Matrix(69,-4,880,-51) Matrix(559,362,-1904,-1233) -> Matrix(275,-16,2286,-133) Matrix(503,324,-784,-505) -> Matrix(273,-16,4624,-271) Matrix(1233,790,1400,897) -> Matrix(135,-8,-2818,167) Matrix(281,180,-2184,-1399) -> Matrix(135,-8,422,-25) Matrix(279,178,-616,-393) -> Matrix(67,-4,888,-53) Matrix(167,106,616,391) -> Matrix(133,-8,-748,45) Matrix(449,284,1064,673) -> Matrix(1,0,-26,1) Matrix(3305,2086,4704,2969) -> Matrix(1,0,-34,1) Matrix(6607,4168,9408,5935) -> Matrix(203,-12,-3434,203) Matrix(111,70,1064,671) -> Matrix(67,-4,-50,3) Matrix(169,106,448,281) -> Matrix(67,-4,-586,35) Matrix(167,104,448,279) -> Matrix(65,-4,-536,33) Matrix(2073,1286,2800,1737) -> Matrix(1,0,-34,1) Matrix(2801,1736,-9576,-5935) -> Matrix(1,0,-8,1) Matrix(2183,1352,-3528,-2185) -> Matrix(65,-4,1024,-63) Matrix(6943,4294,10864,6719) -> Matrix(59,-4,-870,59) Matrix(1905,1178,-5432,-3359) -> Matrix(57,-4,556,-39) Matrix(1343,830,6160,3807) -> Matrix(65,-4,-276,17) Matrix(6551,4048,-15680,-9689) -> Matrix(1,0,-2,1) Matrix(3639,2248,-9520,-5881) -> Matrix(1,0,-8,1) Matrix(561,346,728,449) -> Matrix(67,-4,-1256,75) Matrix(727,446,-1736,-1065) -> Matrix(65,-4,764,-47) Matrix(281,172,1008,617) -> Matrix(1,0,-22,1) Matrix(783,478,-3304,-2017) -> Matrix(389,-24,2642,-163) Matrix(1905,1162,4592,2801) -> Matrix(65,-4,-666,41) Matrix(2183,1330,-6160,-3753) -> Matrix(257,-16,2554,-159) Matrix(783,476,1288,783) -> Matrix(321,-20,-4510,281) Matrix(169,102,280,169) -> Matrix(63,-4,-866,55) Matrix(57,34,-280,-167) -> Matrix(1,0,-10,1) Matrix(1513,896,2744,1625) -> Matrix(1,0,-28,1) Matrix(727,430,2744,1623) -> Matrix(61,-4,-320,21) Matrix(505,298,-1232,-727) -> Matrix(125,-8,1422,-91) Matrix(671,394,952,559) -> Matrix(1,0,-32,1) Matrix(1007,590,3248,1903) -> Matrix(1,0,-22,1) Matrix(3023,1770,-6888,-4033) -> Matrix(1,0,-4,1) Matrix(1791,1048,4592,2687) -> Matrix(59,-4,-516,35) Matrix(951,556,-4312,-2521) -> Matrix(61,-4,412,-27) Matrix(3135,1832,-9968,-5825) -> Matrix(367,-24,3196,-209) Matrix(671,390,-1736,-1009) -> Matrix(61,-4,656,-43) Matrix(2351,1364,-5600,-3249) -> Matrix(1,0,-4,1) Matrix(169,98,1064,617) -> Matrix(1,0,-18,1) Matrix(391,226,1064,615) -> Matrix(1,0,-24,1) Matrix(223,128,-392,-225) -> Matrix(61,-4,900,-59) Matrix(3079,1744,-10976,-6217) -> Matrix(57,-4,442,-31) Matrix(4705,2664,5936,3361) -> Matrix(1,0,-34,1) Matrix(841,476,1288,729) -> Matrix(1,0,-30,1) Matrix(1063,600,1288,727) -> Matrix(57,-4,-1154,81) Matrix(727,410,-3080,-1737) -> Matrix(53,-4,358,-27) Matrix(785,442,1792,1009) -> Matrix(1,0,-24,1) Matrix(783,440,1792,1007) -> Matrix(1,0,-26,1) Matrix(2855,1602,-6888,-3865) -> Matrix(1,0,-4,1) Matrix(5321,2984,9688,5433) -> Matrix(1,0,-28,1) Matrix(8119,4552,-18480,-10361) -> Matrix(123,-8,1430,-93) Matrix(671,376,-2800,-1569) -> Matrix(61,-4,412,-27) Matrix(3641,2038,4704,2633) -> Matrix(121,-8,-2314,153) Matrix(7279,4072,9408,5263) -> Matrix(419,-28,-7946,531) Matrix(2801,1566,3808,2129) -> Matrix(297,-20,-5242,353) Matrix(449,248,1624,897) -> Matrix(1,0,-20,1) Matrix(167,92,-1120,-617) -> Matrix(1,0,-10,1) Matrix(223,122,-616,-337) -> Matrix(55,-4,564,-41) Matrix(559,304,616,335) -> Matrix(1,0,-38,1) Matrix(3641,1978,6496,3529) -> Matrix(61,-4,-808,53) Matrix(4033,2188,6608,3585) -> Matrix(235,-16,-3334,227) Matrix(2129,1154,2688,1457) -> Matrix(1,0,-34,1) Matrix(281,152,-1344,-727) -> Matrix(57,-4,328,-23) Matrix(391,210,728,391) -> Matrix(57,-4,-698,49) Matrix(449,240,840,449) -> Matrix(55,-4,-646,47) Matrix(279,148,-952,-505) -> Matrix(55,-4,454,-33) Matrix(335,158,-952,-449) -> Matrix(57,-4,556,-39) Matrix(391,182,840,391) -> Matrix(53,-4,-596,45) Matrix(337,156,728,337) -> Matrix(51,-4,-548,43) Matrix(113,52,-728,-335) -> Matrix(1,0,-8,1) Matrix(1961,898,3304,1513) -> Matrix(1,0,-26,1) Matrix(2519,1152,3304,1511) -> Matrix(97,-8,-1758,145) Matrix(1961,896,2576,1177) -> Matrix(1,0,-30,1) Matrix(57,26,616,281) -> Matrix(1,0,-12,1) Matrix(337,152,-1736,-783) -> Matrix(51,-4,268,-21) Matrix(4255,1918,9688,4367) -> Matrix(1,0,-22,1) Matrix(4927,2220,7952,3583) -> Matrix(49,-4,-698,57) Matrix(1119,502,2744,1231) -> Matrix(1,0,-22,1) Matrix(1175,526,1624,727) -> Matrix(1,0,-30,1) Matrix(113,50,-504,-223) -> Matrix(1,0,-6,1) Matrix(2967,1304,6496,2855) -> Matrix(47,-4,-458,39) Matrix(43961,19312,78400,34441) -> Matrix(231,-20,-3130,271) Matrix(43959,19310,78400,34439) -> Matrix(229,-20,-3080,269) Matrix(8233,3616,12880,5657) -> Matrix(43,-4,-634,59) Matrix(5881,2580,9576,4201) -> Matrix(41,-4,-584,57) Matrix(1009,442,1792,785) -> Matrix(1,0,-24,1) Matrix(1007,440,1792,783) -> Matrix(1,0,-26,1) Matrix(3695,1612,-10528,-4593) -> Matrix(41,-4,400,-39) Matrix(225,98,1288,561) -> Matrix(51,-4,-140,11) Matrix(167,72,-392,-169) -> Matrix(49,-4,576,-47) Matrix(2297,974,3304,1401) -> Matrix(91,-8,-1490,131) Matrix(3919,1660,6608,2799) -> Matrix(47,-4,-646,55) Matrix(31585,13376,43904,18593) -> Matrix(45,-4,-776,69) Matrix(23687,10030,32928,13943) -> Matrix(189,-16,-3272,277) Matrix(673,284,1064,449) -> Matrix(1,0,-26,1) Matrix(895,376,1064,447) -> Matrix(1,0,-32,1) Matrix(7281,3056,12544,5265) -> Matrix(1,0,-24,1) Matrix(7279,3054,12544,5263) -> Matrix(1,0,-26,1) Matrix(951,398,-3080,-1289) -> Matrix(45,-4,394,-35) Matrix(617,258,672,281) -> Matrix(1,0,-34,1) Matrix(1681,702,-8848,-3695) -> Matrix(1,0,-8,1) Matrix(953,396,-4984,-2071) -> Matrix(93,-8,500,-43) Matrix(4257,1768,-14560,-6047) -> Matrix(139,-12,1170,-101) Matrix(2801,1162,4592,1905) -> Matrix(49,-4,-698,57) Matrix(5879,2436,8512,3527) -> Matrix(49,-4,-796,65) Matrix(2241,928,3248,1345) -> Matrix(1,0,-28,1) Matrix(281,116,952,393) -> Matrix(1,0,-18,1) Matrix(1849,760,3136,1289) -> Matrix(231,-20,-3130,271) Matrix(1847,758,3136,1287) -> Matrix(229,-20,-3080,269) Matrix(1063,434,1232,503) -> Matrix(45,-4,-956,85) Matrix(1289,526,1512,617) -> Matrix(1,0,-32,1) Matrix(3809,1550,6608,2689) -> Matrix(45,-4,-596,53) Matrix(1791,728,3304,1343) -> Matrix(1,0,-24,1) Matrix(111,44,280,111) -> Matrix(45,-4,-416,37) Matrix(505,198,1288,505) -> Matrix(219,-20,-1960,179) Matrix(169,66,-1288,-503) -> Matrix(87,-8,272,-25) Matrix(2687,1048,4592,1791) -> Matrix(43,-4,-548,51) Matrix(3023,1178,6608,2575) -> Matrix(173,-16,-1784,165) Matrix(727,282,1008,391) -> Matrix(1,0,-28,1) Matrix(10249,3958,-26824,-10359) -> Matrix(43,-4,570,-53) Matrix(57,22,728,281) -> Matrix(43,-4,-32,3) Matrix(5375,2074,9576,3695) -> Matrix(43,-4,-634,59) Matrix(167,64,728,279) -> Matrix(41,-4,-174,17) Matrix(48441,18512,78400,29961) -> Matrix(1,0,-12,1) Matrix(48439,18510,78400,29959) -> Matrix(1,0,-38,1) Matrix(9407,3594,-29904,-11425) -> Matrix(45,-4,394,-35) Matrix(4817,1840,6160,2353) -> Matrix(43,-4,-806,75) Matrix(2913,1112,-12320,-4703) -> Matrix(37,-4,250,-27) Matrix(1343,512,-3528,-1345) -> Matrix(45,-4,484,-43) Matrix(4369,1662,7952,3025) -> Matrix(43,-4,-548,51) Matrix(1231,468,-5600,-2129) -> Matrix(85,-8,542,-51) Matrix(279,106,-1624,-617) -> Matrix(1,0,-6,1) Matrix(281,106,448,169) -> Matrix(43,-4,-634,59) Matrix(279,104,448,167) -> Matrix(41,-4,-584,57) Matrix(449,166,-1512,-559) -> Matrix(1,0,-2,1) Matrix(615,226,1064,391) -> Matrix(1,0,-24,1) Matrix(449,164,616,225) -> Matrix(83,-8,-1442,139) Matrix(4145,1496,10864,3921) -> Matrix(41,-4,-420,41) Matrix(7223,2606,12880,4647) -> Matrix(41,-4,-584,57) Matrix(1399,504,4816,1735) -> Matrix(121,-12,-736,73) Matrix(279,100,-784,-281) -> Matrix(161,-16,1600,-159) Matrix(3361,1192,4424,1569) -> Matrix(79,-8,-1412,143) Matrix(10753,3812,13272,4705) -> Matrix(79,-8,-1570,159) Matrix(113,40,952,337) -> Matrix(79,-8,-148,15) Matrix(2071,728,3024,1063) -> Matrix(313,-32,-5096,521) Matrix(3247,1140,-13720,-4817) -> Matrix(1091,-112,7374,-757) Matrix(559,194,1288,447) -> Matrix(1,0,-20,1) Matrix(953,304,1232,393) -> Matrix(107,-12,-2024,227) Matrix(1961,618,3024,953) -> Matrix(279,-32,-4246,487) Matrix(5263,1656,6048,1903) -> Matrix(35,-4,-796,91) Matrix(1177,366,1624,505) -> Matrix(1,0,-26,1) Matrix(1903,590,3248,1007) -> Matrix(1,0,-22,1) Matrix(4985,1542,8512,2633) -> Matrix(35,-4,-446,51) Matrix(111,34,728,223) -> Matrix(35,-4,-96,11) Matrix(1903,580,3304,1007) -> Matrix(69,-8,-940,109) Matrix(2185,664,3136,953) -> Matrix(375,-44,-6196,727) Matrix(2183,662,3136,951) -> Matrix(373,-44,-6146,725) Matrix(503,150,560,167) -> Matrix(33,-4,-734,89) Matrix(3473,1034,9408,2801) -> Matrix(97,-12,-784,97) Matrix(1735,516,4704,1399) -> Matrix(1,0,-16,1) Matrix(393,116,952,281) -> Matrix(1,0,-18,1) Matrix(5265,1544,6496,1905) -> Matrix(33,-4,-668,81) Matrix(4425,1294,-20104,-5879) -> Matrix(69,-8,440,-51) Matrix(111,32,-392,-113) -> Matrix(65,-8,512,-63) Matrix(783,220,3584,1007) -> Matrix(1,0,-12,1) Matrix(18985,5328,32928,9241) -> Matrix(123,-16,-1622,211) Matrix(25311,7102,43904,12319) -> Matrix(31,-4,-426,55) Matrix(2575,722,3192,895) -> Matrix(31,-4,-612,79) Matrix(617,172,1008,281) -> Matrix(1,0,-22,1) Matrix(9073,2512,12544,3473) -> Matrix(91,-12,-1600,211) Matrix(9071,2510,12544,3471) -> Matrix(89,-12,-1550,209) Matrix(897,248,1624,449) -> Matrix(1,0,-20,1) Matrix(1119,308,1624,447) -> Matrix(1,0,-24,1) Matrix(391,106,616,167) -> Matrix(61,-8,-892,117) Matrix(2297,616,3136,841) -> Matrix(391,-52,-6850,911) Matrix(2295,614,3136,839) -> Matrix(389,-52,-6800,909) Matrix(113,30,-840,-223) -> Matrix(59,-8,214,-29) Matrix(1679,444,3808,1007) -> Matrix(147,-20,-1492,203) Matrix(839,220,1064,279) -> Matrix(57,-8,-1090,153) Matrix(1063,276,2800,727) -> Matrix(1,0,-16,1) Matrix(55,14,-224,-57) -> Matrix(29,-4,196,-27) Matrix(9521,2296,12544,3025) -> Matrix(27,-4,-506,75) Matrix(9519,2294,12544,3023) -> Matrix(25,-4,-456,73) Matrix(2855,686,4424,1063) -> Matrix(57,-8,-862,121) Matrix(1399,334,2576,615) -> Matrix(1,0,-20,1) Matrix(1793,426,3304,785) -> Matrix(55,-8,-708,103) Matrix(38305,9064,50176,11873) -> Matrix(2053,-304,-37474,5549) Matrix(38303,9062,50176,11871) -> Matrix(2051,-304,-37424,5547) Matrix(111,26,952,223) -> Matrix(53,-8,-86,13) Matrix(505,118,-2632,-615) -> Matrix(79,-12,428,-65) Matrix(2409,560,3136,729) -> Matrix(287,-44,-5316,815) Matrix(2407,558,3136,727) -> Matrix(285,-44,-5266,813) Matrix(279,64,728,167) -> Matrix(25,-4,-206,33) Matrix(839,190,1232,279) -> Matrix(73,-12,-1174,193) Matrix(4145,938,9408,2129) -> Matrix(169,-28,-1696,281) Matrix(2071,468,4704,1063) -> Matrix(47,-8,-464,79) Matrix(22009,4848,28224,6217) -> Matrix(235,-36,-4354,667) Matrix(22007,4846,28224,6215) -> Matrix(233,-36,-4304,665) Matrix(897,196,3080,673) -> Matrix(49,-8,-300,49) Matrix(3807,830,6160,1343) -> Matrix(25,-4,-356,57) Matrix(167,36,-784,-169) -> Matrix(73,-12,432,-71) Matrix(785,166,1064,225) -> Matrix(47,-8,-840,143) Matrix(1231,256,2688,559) -> Matrix(1,0,-16,1) Matrix(2575,534,5936,1231) -> Matrix(1,0,-16,1) Matrix(2297,444,3192,617) -> Matrix(21,-4,-362,69) Matrix(671,128,-3528,-673) -> Matrix(21,-4,100,-19) Matrix(8567,1626,13272,2519) -> Matrix(41,-8,-620,121) Matrix(4591,870,6496,1231) -> Matrix(19,-4,-318,67) Matrix(279,52,896,167) -> Matrix(1,0,-12,1) Matrix(111,20,616,111) -> Matrix(41,-8,-128,25) Matrix(169,30,952,169) -> Matrix(59,-12,-172,35) Matrix(561,98,1288,225) -> Matrix(19,-4,-204,43) Matrix(335,58,1288,223) -> Matrix(1,0,-10,1) Matrix(617,98,1064,169) -> Matrix(1,0,-18,1) Matrix(223,34,728,111) -> Matrix(19,-4,-128,27) Matrix(895,132,1512,223) -> Matrix(1,0,-18,1) Matrix(729,100,1232,169) -> Matrix(15,-4,-206,55) Matrix(4145,538,6048,785) -> Matrix(9,-4,-146,65) Matrix(897,116,3472,449) -> Matrix(13,-4,-68,21) Matrix(503,60,1400,167) -> Matrix(33,-8,-268,65) Matrix(223,26,952,111) -> Matrix(29,-8,-134,37) Matrix(393,40,560,57) -> Matrix(11,-4,-184,67) Matrix(281,26,616,57) -> Matrix(1,0,-12,1) Matrix(391,32,672,55) -> Matrix(1,0,-16,1) Matrix(503,-66,1288,-169) -> Matrix(9,8,-80,-71) Matrix(223,-30,840,-113) -> Matrix(13,8,-70,-43) Matrix(617,-92,1120,-167) -> Matrix(1,0,-10,1) Matrix(841,-132,1064,-167) -> Matrix(11,4,-212,-77) Matrix(617,-106,1624,-279) -> Matrix(1,0,-6,1) Matrix(447,-82,616,-113) -> Matrix(1,0,-14,1) Matrix(615,-116,896,-169) -> Matrix(15,4,-244,-65) Matrix(615,-118,2632,-505) -> Matrix(41,12,-188,-55) Matrix(1289,-250,2016,-391) -> Matrix(25,8,-372,-119) Matrix(167,-34,280,-57) -> Matrix(1,0,-10,1) Matrix(897,-188,1064,-223) -> Matrix(15,4,-304,-81) Matrix(169,-36,784,-167) -> Matrix(47,12,-192,-49) Matrix(1625,-356,2296,-503) -> Matrix(35,8,-582,-133) Matrix(223,-50,504,-113) -> Matrix(1,0,-6,1) Matrix(1289,-300,1680,-391) -> Matrix(109,24,-2012,-443) Matrix(3583,-838,8624,-2017) -> Matrix(19,4,-176,-37) Matrix(1737,-410,3080,-727) -> Matrix(19,4,-214,-45) Matrix(2017,-478,3304,-783) -> Matrix(115,24,-1634,-341) Matrix(1569,-376,2800,-671) -> Matrix(19,4,-252,-53) Matrix(57,-14,224,-55) -> Matrix(19,4,-100,-21) Matrix(4761,-1232,6272,-1623) -> Matrix(21,4,-394,-75) Matrix(727,-192,1064,-281) -> Matrix(85,16,-1376,-259) Matrix(1065,-286,1456,-391) -> Matrix(133,24,-2322,-419) Matrix(503,-138,616,-169) -> Matrix(1,0,-14,1) Matrix(1457,-404,2016,-559) -> Matrix(45,8,-782,-139) Matrix(113,-32,392,-111) -> Matrix(47,8,-288,-49) Matrix(6329,-1840,10976,-3191) -> Matrix(99,16,-1318,-213) Matrix(1793,-524,2296,-671) -> Matrix(51,8,-950,-149) Matrix(505,-148,952,-279) -> Matrix(25,4,-294,-47) Matrix(559,-166,1512,-449) -> Matrix(1,0,-2,1) Matrix(391,-118,560,-169) -> Matrix(51,8,-848,-133) Matrix(839,-256,1288,-393) -> Matrix(79,12,-1218,-185) Matrix(895,-276,1456,-449) -> Matrix(53,8,-762,-115) Matrix(727,-228,896,-281) -> Matrix(27,4,-520,-77) Matrix(783,-248,1064,-337) -> Matrix(109,16,-1928,-283) Matrix(895,-312,1288,-449) -> Matrix(91,12,-1494,-197) Matrix(3359,-1178,5432,-1905) -> Matrix(31,4,-380,-49) Matrix(1345,-474,1904,-671) -> Matrix(125,16,-2086,-267) Matrix(281,-100,784,-279) -> Matrix(127,16,-1024,-129) Matrix(1903,-684,2184,-785) -> Matrix(65,8,-1422,-175) Matrix(337,-122,616,-223) -> Matrix(33,4,-388,-47) Matrix(6775,-2576,9576,-3641) -> Matrix(1,0,-8,1) Matrix(1345,-512,3528,-1343) -> Matrix(35,4,-324,-37) Matrix(3527,-1346,5432,-2073) -> Matrix(43,4,-656,-61) Matrix(9129,-3488,15680,-5991) -> Matrix(1,0,-2,1) Matrix(5881,-2248,9520,-3639) -> Matrix(1,0,-8,1) Matrix(1009,-390,1736,-671) -> Matrix(35,4,-464,-53) Matrix(2521,-982,3304,-1287) -> Matrix(211,24,-3842,-437) Matrix(3977,-1554,6160,-2407) -> Matrix(143,16,-2154,-241) Matrix(223,-90,280,-113) -> Matrix(1,0,-10,1) Matrix(727,-298,1232,-505) -> Matrix(75,8,-1022,-109) Matrix(3865,-1602,6888,-2855) -> Matrix(1,0,-4,1) Matrix(3361,-1396,4312,-1791) -> Matrix(39,4,-712,-73) Matrix(6833,-2840,9968,-4143) -> Matrix(233,24,-3796,-391) Matrix(1065,-446,1736,-727) -> Matrix(39,4,-556,-57) Matrix(3249,-1364,5600,-2351) -> Matrix(1,0,-4,1) Matrix(169,-72,392,-167) -> Matrix(39,4,-400,-41) Matrix(7897,-3424,10976,-4759) -> Matrix(43,4,-742,-69) Matrix(2353,-1026,3080,-1343) -> Matrix(47,4,-858,-73) Matrix(4033,-1770,6888,-3023) -> Matrix(1,0,-4,1) Matrix(10361,-4552,18480,-8119) -> Matrix(77,8,-1030,-107) Matrix(2129,-936,2800,-1231) -> Matrix(39,4,-712,-73) Matrix(953,-428,1120,-503) -> Matrix(1,0,-10,1) Matrix(393,-178,616,-279) -> Matrix(45,4,-664,-59) Matrix(1063,-488,1344,-617) -> Matrix(43,4,-828,-77) Matrix(673,-316,952,-447) -> Matrix(45,4,-754,-67) Matrix(617,-326,952,-503) -> Matrix(43,4,-656,-61) Matrix(615,-332,728,-393) -> Matrix(1,0,-8,1) Matrix(1399,-768,1736,-953) -> Matrix(49,4,-968,-79) Matrix(391,-218,504,-281) -> Matrix(1,0,-6,1) Matrix(6833,-3852,10528,-5935) -> Matrix(59,4,-900,-61) Matrix(225,-128,392,-223) -> Matrix(51,4,-676,-53) Matrix(2129,-1238,3080,-1791) -> Matrix(55,4,-894,-65) Matrix(7167,-4174,8848,-5153) -> Matrix(1,0,-8,1) Matrix(4031,-2356,4984,-2913) -> Matrix(107,8,-2100,-157) Matrix(10303,-6024,14560,-8513) -> Matrix(161,12,-2670,-199) Matrix(1119,-682,1288,-785) -> Matrix(113,8,-2472,-175) Matrix(16575,-10174,26824,-16465) -> Matrix(57,4,-670,-47) Matrix(20497,-12666,29904,-18479) -> Matrix(55,4,-894,-65) Matrix(9407,-5816,12320,-7617) -> Matrix(63,4,-1150,-73) Matrix(2185,-1352,3528,-2183) -> Matrix(55,4,-784,-57) Matrix(4369,-2708,5600,-3471) -> Matrix(115,8,-2142,-149) Matrix(1345,-834,1624,-1007) -> Matrix(1,0,-6,1) Matrix(1063,-670,1512,-953) -> Matrix(1,0,-2,1) Matrix(505,-324,784,-503) -> Matrix(239,16,-3600,-241) Matrix(10473,-6796,13720,-8903) -> Matrix(1709,112,-31174,-2043) Matrix(15679,-11094,20104,-14225) -> Matrix(131,8,-2440,-149) Matrix(281,-200,392,-279) -> Matrix(135,8,-2312,-137) Matrix(727,-534,840,-617) -> Matrix(141,8,-3014,-171) Matrix(169,-126,224,-167) -> Matrix(71,4,-1296,-73) Matrix(2127,-1630,2632,-2017) -> Matrix(221,12,-4328,-235) Matrix(617,-484,784,-615) -> Matrix(227,12,-4332,-229) Matrix(2857,-2312,3528,-2855) -> Matrix(79,4,-1600,-81) 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: 72 Genus: 61 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 1/11 1/10 1/9 2/17 1/8 2/15 1/7 3/20 2/13 3/19 1/6 4/23 5/28 3/16 4/21 5/26 1/5 5/24 3/14 5/22 5/21 6/25 1/4 7/27 5/18 2/7 7/24 13/42 5/16 1/3 5/14 31/84 3/8 8/21 11/28 5/12 3/7 7/16 37/84 9/20 11/24 13/28 1/2 157/280 9/16 4/7 113/196 65/112 7/12 33/56 173/280 13/21 5/8 9/14 29/42 39/56 17/24 5/7 81/112 41/56 3/4 85/112 16/21 171/224 43/56 131/168 11/14 17/21 6/7 7/8 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES 0/1 0/1 1/1 1/11 0/1 1/2 1/10 -2/1 0/1 1/9 -1/1 -2/3 2/17 -2/3 -1/2 1/8 0/1 2/15 -3/4 -2/3 1/7 -1/2 3/20 -1/2 2/13 -2/5 -1/3 3/19 -1/2 0/1 1/6 -2/5 0/1 4/23 -1/2 -2/5 3/17 -6/17 -1/3 5/28 -1/3 2/11 -1/3 -4/13 3/16 -2/7 4/21 -1/3 5/26 -2/7 0/1 1/5 -2/7 -1/4 5/24 -2/7 4/19 -3/11 -4/15 3/14 -1/4 8/37 -9/37 -8/33 5/23 -6/25 -5/21 12/55 -4/17 -3/13 7/32 -4/17 2/9 -1/4 -2/9 5/22 -6/25 -4/17 3/13 -5/22 -2/9 7/30 -2/9 -12/55 18/77 -5/23 11/47 -2/9 -5/23 4/17 -2/9 -3/14 9/38 -4/19 -14/67 5/21 -1/5 6/25 -1/5 0/1 1/4 -1/5 8/31 -1/5 -4/21 15/58 -4/21 -2/11 7/27 -1/5 -2/11 6/23 -2/11 -1/6 5/19 -5/26 -4/21 9/34 -8/43 -2/11 13/49 -3/16 4/15 -7/38 -2/11 7/26 -2/11 -12/67 3/11 -4/23 -1/6 8/29 -2/11 -1/6 13/47 -1/5 -2/11 5/18 -2/11 -4/23 7/25 -4/23 -1/6 2/7 -1/6 9/31 -1/6 -4/25 25/86 -6/37 -4/25 16/55 -5/31 -4/25 7/24 -4/25 12/41 -1/6 -2/13 5/17 -3/19 -2/13 8/27 -1/6 -2/13 3/10 -4/25 -2/13 7/23 -2/13 -9/59 11/36 -3/20 4/13 -2/13 -1/7 13/42 -1/7 9/29 -2/13 -1/7 5/16 -2/13 6/19 -4/27 -9/61 1/3 -1/7 -2/15 7/20 -3/23 13/37 -4/31 -17/132 6/17 -6/47 -1/8 5/14 -1/8 14/39 -1/8 -10/81 23/64 -8/65 9/25 -1/8 -8/65 4/11 -4/33 -3/25 11/30 -2/17 -4/35 7/19 -1/8 0/1 31/84 -1/8 24/65 -1/8 -6/49 17/46 -4/33 -2/17 10/27 -1/8 -2/17 3/8 -2/17 11/29 -2/17 -1/9 30/79 -1/8 -2/17 19/50 -2/17 0/1 27/71 -2/17 -1/9 8/21 -1/9 37/97 -1/9 -2/19 29/76 -1/10 21/55 -1/8 0/1 34/89 -2/19 -1/10 47/123 -1/14 0/1 13/34 -2/15 0/1 5/13 -2/17 -3/26 12/31 -4/35 -1/9 7/18 -2/17 -4/35 23/59 -11/97 -6/53 16/41 -5/44 -6/53 25/64 -8/71 9/23 -10/89 -1/9 11/28 -1/9 2/5 -1/9 -2/19 11/27 -1/9 -2/19 20/49 -1/9 9/22 -4/37 -2/19 7/17 -2/19 -3/29 12/29 -2/19 -1/10 29/70 -1/10 17/41 -1/9 -2/19 22/53 -3/28 -2/19 27/65 -2/19 -3/29 32/77 -3/29 5/12 -1/10 13/31 -1/10 0/1 21/50 -2/19 0/1 8/19 -1/9 0/1 11/26 -2/19 -4/39 3/7 -1/10 13/30 -2/21 0/1 36/83 -1/10 -2/21 23/53 -2/21 -1/11 10/23 -2/21 -3/32 17/39 -1/11 -2/23 24/55 -1/11 0/1 7/16 0/1 25/57 -1/10 0/1 18/41 -2/19 -1/10 47/107 -3/28 -2/19 29/66 -2/19 -4/39 11/25 -4/39 -1/10 37/84 -1/10 26/59 -1/10 -14/141 15/34 -6/61 -4/41 4/9 -1/10 -2/21 13/29 -2/21 -1/11 9/20 -1/11 5/11 -1/12 0/1 21/46 -2/19 0/1 16/35 -1/10 27/59 -2/21 -1/11 11/24 -2/21 6/13 -2/21 -1/11 13/28 -1/11 7/15 -1/11 -2/23 1/2 -2/23 0/1 9/17 -1/11 -2/23 8/15 -2/23 -1/12 15/28 -1/12 7/13 -1/12 -2/25 13/24 -2/25 32/59 -1/12 -2/25 19/35 -1/13 25/46 -2/27 0/1 6/11 -1/11 0/1 17/31 -1/12 -4/49 28/51 -3/37 -2/25 39/71 -2/25 -1/13 11/20 -1/12 27/49 -1/12 16/29 -1/12 -2/25 5/9 -2/25 -1/13 14/25 -1/13 -4/53 51/91 -1/13 37/66 -4/53 -2/27 97/173 -7/94 -2/27 157/280 -2/27 60/107 -2/27 -3/41 23/41 -1/13 -2/27 55/98 -1/14 32/57 -1/13 0/1 9/16 0/1 31/55 -1/12 0/1 53/94 -2/19 0/1 22/39 -2/23 -1/12 13/23 -3/37 -2/25 4/7 -1/13 19/33 -5/67 -2/27 34/59 -3/40 -2/27 49/85 -1/13 -2/27 113/196 -1/13 64/111 -1/13 -4/53 15/26 -4/53 -2/27 11/19 -1/14 0/1 29/50 -2/27 0/1 47/81 -1/14 0/1 65/112 0/1 18/31 -1/13 0/1 25/43 -2/27 -1/14 32/55 -1/15 0/1 39/67 -1/16 0/1 46/79 -2/23 -1/12 7/12 -1/13 38/65 -3/40 -2/27 31/53 -2/27 -3/41 24/41 -2/27 -1/14 65/111 -1/14 0/1 41/70 -1/13 17/29 -1/13 -2/27 10/17 -3/40 -2/27 33/56 -2/27 23/39 -2/27 -7/95 13/22 -2/27 -4/55 29/49 -1/14 16/27 -2/27 -1/14 35/59 -1/13 -2/27 19/32 -2/27 3/5 -2/27 -1/14 17/28 -1/14 14/23 -1/14 -10/141 25/41 -6/85 -5/71 36/59 -6/85 -11/156 47/77 -5/71 11/18 -4/57 -2/29 19/31 -1/14 -4/57 27/44 -1/14 62/101 -4/57 -11/157 35/57 -4/57 -7/100 43/70 -3/43 8/13 -3/43 -2/29 21/34 -2/31 0/1 97/157 -1/22 0/1 173/280 0/1 76/123 -1/9 0/1 131/212 -1/12 55/89 -1/13 -2/27 34/55 -1/15 0/1 81/131 -1/8 0/1 47/76 -1/13 13/21 -1/14 57/92 -3/43 44/71 -1/14 -2/29 31/50 -2/29 0/1 18/29 -1/14 -2/29 5/8 -2/29 17/27 -2/29 -1/15 12/19 -1/15 0/1 19/30 -4/57 -2/29 7/11 -3/44 -4/59 23/36 -1/15 62/97 -5/74 -6/89 39/61 -6/89 -7/104 55/86 -6/89 -8/119 16/25 -8/119 -1/15 9/14 -1/15 20/31 -1/15 -8/121 71/110 -10/151 -8/121 51/79 -1/15 -6/91 31/48 -8/121 11/17 -1/15 -6/91 35/54 -6/91 -4/61 24/37 -17/259 -4/61 61/94 -4/61 -42/641 37/57 -4/61 -11/168 13/20 -3/46 15/23 -2/31 -3/47 2/3 -2/31 -1/16 15/22 -8/129 -6/97 13/19 -9/146 -4/65 37/54 -4/65 -10/163 61/89 -3/49 -2/33 85/124 -7/114 24/35 -3/49 11/16 -2/33 20/29 -1/16 -2/33 29/42 -1/16 38/55 -5/81 -4/65 9/13 -1/16 -2/33 25/36 -3/49 41/59 -7/115 -2/33 16/23 -9/148 -2/33 39/56 -2/33 23/33 -2/33 -13/215 7/10 -2/33 -4/67 33/47 -6/101 -1/17 59/84 -1/17 26/37 -1/17 0/1 19/27 -2/33 -1/17 12/17 -2/33 -3/50 53/75 -4/67 -13/218 41/58 -2/33 -4/67 29/41 -2/33 -1/17 75/106 -2/33 0/1 121/171 -2/33 -9/149 46/65 -2/33 -3/50 17/24 -4/67 5/7 -1/17 23/32 -4/69 41/57 -4/69 -3/52 141/196 -3/52 100/139 -3/52 -2/35 59/82 -4/69 -2/35 18/25 -1/17 -4/69 13/18 -4/69 -2/35 47/65 -5/87 -2/35 81/112 -2/35 34/47 -2/35 -1/18 21/29 -1/17 -2/35 29/40 -2/35 8/11 -1/17 -4/69 19/26 -12/209 -2/35 30/41 -19/332 -2/35 41/56 -2/35 11/15 -2/35 -7/123 25/34 -2/35 -8/141 39/53 -3/53 -22/389 14/19 -4/71 -5/89 17/23 -1/17 -2/35 20/27 -2/35 -1/18 3/4 -1/18 22/29 -1/18 -2/37 85/112 -2/37 63/83 -2/37 -1/19 41/54 -2/37 0/1 19/25 -1/18 0/1 35/46 -2/37 0/1 16/21 -1/18 45/59 -7/127 -6/109 29/38 -14/255 -4/73 100/131 -45/821 -4/73 171/224 -4/73 71/93 -4/73 -31/566 42/55 -4/73 -3/55 13/17 -3/55 -2/37 36/47 -5/92 -2/37 23/30 -12/221 -2/37 33/43 -17/314 -2/37 43/56 -2/37 10/13 -2/37 -5/93 17/22 -4/75 -6/113 41/53 -14/265 -1/19 65/84 -1/19 24/31 -1/19 -4/77 7/9 -2/37 -1/19 46/59 -5/92 -2/37 131/168 -2/37 85/109 -2/37 -13/241 39/50 -2/37 -8/149 32/41 -2/37 -3/56 25/32 -4/75 43/55 -3/56 -4/75 18/23 -5/94 -6/113 11/14 -1/19 26/33 -7/134 -6/115 15/19 -4/77 -3/58 34/43 -1/19 -2/39 19/24 -2/39 42/53 -2/39 -1/20 23/29 -1/19 -2/39 4/5 -1/19 -2/39 25/31 -1/20 0/1 21/26 -2/39 0/1 38/47 -2/39 -1/20 55/68 -3/59 17/21 -1/20 81/100 -1/21 64/79 -2/39 -1/20 47/58 -2/41 0/1 30/37 -1/17 0/1 13/16 -2/39 22/27 -2/39 -1/20 9/11 -4/79 -1/20 23/28 -1/20 14/17 -1/20 -6/121 19/23 -2/41 -1/21 24/29 -1/20 -2/41 5/6 -2/41 0/1 16/19 -1/21 0/1 27/32 -2/41 11/13 -1/20 -2/41 17/20 -1/21 23/27 -2/41 -1/21 6/7 -1/21 19/22 -2/43 0/1 13/15 -2/43 -3/65 20/23 -1/22 -2/45 47/54 -2/43 0/1 27/31 -1/22 0/1 7/8 0/1 15/17 -1/21 -2/43 8/9 -2/43 -1/22 9/10 -2/45 0/1 10/11 -1/25 0/1 1/1 -1/24 0/1 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,1,0,1) (0/1,1/0) -> (1/1,1/0) Parabolic Matrix(447,-35,728,-57) (0/1,1/11) -> (62/101,35/57) Hyperbolic Matrix(335,-31,616,-57) (1/11,1/10) -> (25/46,6/11) Hyperbolic Matrix(393,-41,1064,-111) (1/10,1/9) -> (24/65,17/46) Hyperbolic Matrix(729,-85,952,-111) (1/9,2/17) -> (13/17,36/47) Hyperbolic Matrix(615,-73,952,-113) (2/17,1/8) -> (31/48,11/17) Hyperbolic Matrix(503,-66,1288,-169) (1/8,2/15) -> (16/41,25/64) Hyperbolic Matrix(223,-30,840,-113) (2/15,1/7) -> (13/49,4/15) Hyperbolic Matrix(617,-92,1120,-167) (1/7,3/20) -> (11/20,27/49) Hyperbolic Matrix(505,-77,728,-111) (3/20,2/13) -> (9/13,25/36) Hyperbolic Matrix(841,-132,1064,-167) (2/13,3/19) -> (15/19,34/43) Hyperbolic Matrix(447,-71,1064,-169) (3/19,1/6) -> (21/50,8/19) Hyperbolic Matrix(617,-106,1624,-279) (1/6,4/23) -> (30/79,19/50) Hyperbolic Matrix(727,-127,1288,-225) (4/23,3/17) -> (22/39,13/23) Hyperbolic Matrix(783,-139,952,-169) (3/17,5/28) -> (23/28,14/17) Hyperbolic Matrix(505,-91,616,-111) (5/28,2/11) -> (9/11,23/28) Hyperbolic Matrix(447,-82,616,-113) (2/11,3/16) -> (29/40,8/11) Hyperbolic Matrix(615,-116,896,-169) (3/16,4/21) -> (24/35,11/16) Hyperbolic Matrix(615,-118,2632,-505) (4/21,5/26) -> (7/30,18/77) Hyperbolic Matrix(1289,-250,2016,-391) (5/26,1/5) -> (39/61,55/86) Hyperbolic Matrix(167,-34,280,-57) (1/5,5/24) -> (19/32,3/5) Hyperbolic Matrix(897,-188,1064,-223) (5/24,4/19) -> (16/19,27/32) Hyperbolic Matrix(169,-36,784,-167) (4/19,3/14) -> (3/14,8/37) Parabolic Matrix(337,-73,1288,-279) (8/37,5/23) -> (6/23,5/19) Hyperbolic Matrix(2353,-513,6160,-1343) (5/23,12/55) -> (21/55,34/89) Hyperbolic Matrix(2577,-563,3584,-783) (12/55,7/32) -> (23/32,41/57) Hyperbolic Matrix(1625,-356,2296,-503) (7/32,2/9) -> (46/65,17/24) Hyperbolic Matrix(223,-50,504,-113) (2/9,5/22) -> (15/34,4/9) Hyperbolic Matrix(449,-103,728,-167) (5/22,3/13) -> (8/13,21/34) Hyperbolic Matrix(1289,-300,1680,-391) (3/13,7/30) -> (23/30,33/43) Hyperbolic Matrix(3583,-838,8624,-2017) (18/77,11/47) -> (27/65,32/77) Hyperbolic Matrix(841,-197,952,-223) (11/47,4/17) -> (15/17,8/9) Hyperbolic Matrix(1737,-410,3080,-727) (4/17,9/38) -> (53/94,22/39) Hyperbolic Matrix(2017,-478,3304,-783) (9/38,5/21) -> (47/77,11/18) Hyperbolic Matrix(1569,-376,2800,-671) (5/21,6/25) -> (14/25,51/91) Hyperbolic Matrix(57,-14,224,-55) (6/25,1/4) -> (1/4,8/31) Parabolic Matrix(3023,-781,3472,-897) (8/31,15/58) -> (47/54,27/31) Hyperbolic Matrix(4761,-1232,6272,-1623) (15/58,7/27) -> (63/83,41/54) Hyperbolic Matrix(1065,-277,1288,-335) (7/27,6/23) -> (19/23,24/29) Hyperbolic Matrix(727,-192,1064,-281) (5/19,9/34) -> (15/22,13/19) Hyperbolic Matrix(1121,-297,2744,-727) (9/34,13/49) -> (20/49,9/22) Hyperbolic Matrix(1065,-286,1456,-391) (4/15,7/26) -> (19/26,30/41) Hyperbolic Matrix(225,-61,616,-167) (7/26,3/11) -> (4/11,11/30) Hyperbolic Matrix(503,-138,616,-169) (3/11,8/29) -> (22/27,9/11) Hyperbolic Matrix(727,-201,1624,-449) (8/29,13/47) -> (4/9,13/29) Hyperbolic Matrix(1457,-404,2016,-559) (13/47,5/18) -> (13/18,47/65) Hyperbolic Matrix(391,-109,1008,-281) (5/18,7/25) -> (12/31,7/18) Hyperbolic Matrix(113,-32,392,-111) (7/25,2/7) -> (2/7,9/31) Parabolic Matrix(3081,-895,4816,-1399) (9/31,25/86) -> (55/86,16/25) Hyperbolic Matrix(6329,-1840,10976,-3191) (25/86,16/55) -> (64/111,15/26) Hyperbolic Matrix(2407,-701,3080,-897) (16/55,7/24) -> (25/32,43/55) Hyperbolic Matrix(1793,-524,2296,-671) (7/24,12/41) -> (32/41,25/32) Hyperbolic Matrix(505,-148,952,-279) (12/41,5/17) -> (9/17,8/15) Hyperbolic Matrix(559,-165,952,-281) (5/17,8/27) -> (17/29,10/17) Hyperbolic Matrix(559,-166,1512,-449) (8/27,3/10) -> (17/46,10/27) Hyperbolic Matrix(391,-118,560,-169) (3/10,7/23) -> (23/33,7/10) Hyperbolic Matrix(839,-256,1288,-393) (7/23,11/36) -> (13/20,15/23) Hyperbolic Matrix(617,-189,728,-223) (11/36,4/13) -> (11/13,17/20) Hyperbolic Matrix(895,-276,1456,-449) (4/13,13/42) -> (43/70,8/13) Hyperbolic Matrix(1345,-417,3248,-1007) (13/42,9/29) -> (12/29,29/70) Hyperbolic Matrix(729,-227,896,-279) (9/29,5/16) -> (13/16,22/27) Hyperbolic Matrix(727,-228,896,-281) (5/16,6/19) -> (30/37,13/16) Hyperbolic Matrix(783,-248,1064,-337) (6/19,1/3) -> (39/53,14/19) Hyperbolic Matrix(895,-312,1288,-449) (1/3,7/20) -> (25/36,41/59) Hyperbolic Matrix(3359,-1178,5432,-1905) (7/20,13/37) -> (81/131,47/76) Hyperbolic Matrix(1345,-474,1904,-671) (13/37,6/17) -> (12/17,53/75) Hyperbolic Matrix(281,-100,784,-279) (6/17,5/14) -> (5/14,14/39) Parabolic Matrix(1233,-443,1400,-503) (14/39,23/64) -> (7/8,15/17) Hyperbolic Matrix(1903,-684,2184,-785) (23/64,9/25) -> (27/31,7/8) Hyperbolic Matrix(337,-122,616,-223) (9/25,4/11) -> (6/11,17/31) Hyperbolic Matrix(449,-165,1064,-391) (11/30,7/19) -> (8/19,11/26) Hyperbolic Matrix(3305,-1219,4704,-1735) (7/19,31/84) -> (59/84,26/37) Hyperbolic Matrix(6607,-2439,9408,-3473) (31/84,24/65) -> (33/47,59/84) Hyperbolic Matrix(169,-63,448,-167) (10/27,3/8) -> (3/8,11/29) Parabolic Matrix(2073,-787,2800,-1063) (11/29,30/79) -> (17/23,20/27) Hyperbolic Matrix(6775,-2576,9576,-3641) (19/50,27/71) -> (29/41,75/106) Hyperbolic Matrix(1345,-512,3528,-1343) (27/71,8/21) -> (8/21,37/97) Parabolic Matrix(6943,-2649,10864,-4145) (37/97,29/76) -> (23/36,62/97) Hyperbolic Matrix(3527,-1346,5432,-2073) (29/76,21/55) -> (37/57,13/20) Hyperbolic Matrix(9129,-3488,15680,-5991) (34/89,47/123) -> (39/67,46/79) Hyperbolic Matrix(5881,-2248,9520,-3639) (47/123,13/34) -> (21/34,97/157) Hyperbolic Matrix(561,-215,728,-279) (13/34,5/13) -> (10/13,17/22) Hyperbolic Matrix(1009,-390,1736,-671) (5/13,12/31) -> (18/31,25/43) Hyperbolic Matrix(2521,-982,3304,-1287) (7/18,23/59) -> (45/59,29/38) Hyperbolic Matrix(1905,-743,4592,-1791) (23/59,16/41) -> (17/41,22/53) Hyperbolic Matrix(3977,-1554,6160,-2407) (25/64,9/23) -> (51/79,31/48) Hyperbolic Matrix(783,-307,1288,-505) (9/23,11/28) -> (17/28,14/23) Hyperbolic Matrix(169,-67,280,-111) (11/28,2/5) -> (3/5,17/28) Hyperbolic Matrix(223,-90,280,-113) (2/5,11/27) -> (23/29,4/5) Hyperbolic Matrix(1513,-617,2744,-1119) (11/27,20/49) -> (27/49,16/29) Hyperbolic Matrix(727,-298,1232,-505) (9/22,7/17) -> (23/39,13/22) Hyperbolic Matrix(671,-277,952,-393) (7/17,12/29) -> (19/27,12/17) Hyperbolic Matrix(3865,-1602,6888,-2855) (29/70,17/41) -> (23/41,55/98) Hyperbolic Matrix(3361,-1396,4312,-1791) (22/53,27/65) -> (7/9,46/59) Hyperbolic Matrix(6833,-2840,9968,-4143) (32/77,5/12) -> (85/124,24/35) Hyperbolic Matrix(1065,-446,1736,-727) (5/12,13/31) -> (19/31,27/44) Hyperbolic Matrix(3249,-1364,5600,-2351) (13/31,21/50) -> (29/50,47/81) Hyperbolic Matrix(169,-72,392,-167) (11/26,3/7) -> (3/7,13/30) Parabolic Matrix(7897,-3424,10976,-4759) (13/30,36/83) -> (100/139,59/82) Hyperbolic Matrix(4705,-2041,5936,-2575) (36/83,23/53) -> (42/53,23/29) Hyperbolic Matrix(841,-365,1288,-559) (23/53,10/23) -> (15/23,2/3) Hyperbolic Matrix(1063,-463,1288,-561) (10/23,17/39) -> (14/17,19/23) Hyperbolic Matrix(2353,-1026,3080,-1343) (17/39,24/55) -> (42/55,13/17) Hyperbolic Matrix(785,-343,1792,-783) (24/55,7/16) -> (7/16,25/57) Parabolic Matrix(4033,-1770,6888,-3023) (25/57,18/41) -> (24/41,65/111) Hyperbolic Matrix(5321,-2337,9688,-4255) (18/41,47/107) -> (28/51,39/71) Hyperbolic Matrix(10361,-4552,18480,-8119) (47/107,29/66) -> (37/66,97/173) Hyperbolic Matrix(2129,-936,2800,-1231) (29/66,11/25) -> (19/25,35/46) Hyperbolic Matrix(3641,-1603,4704,-2071) (11/25,37/84) -> (65/84,24/31) Hyperbolic Matrix(7279,-3207,9408,-4145) (37/84,26/59) -> (41/53,65/84) Hyperbolic Matrix(2801,-1235,3808,-1679) (26/59,15/34) -> (25/34,39/53) Hyperbolic Matrix(953,-428,1120,-503) (13/29,9/20) -> (17/20,23/27) Hyperbolic Matrix(393,-178,616,-279) (9/20,5/11) -> (7/11,23/36) Hyperbolic Matrix(559,-255,616,-281) (5/11,21/46) -> (9/10,10/11) Hyperbolic Matrix(3641,-1663,6496,-2967) (21/46,16/35) -> (51/91,37/66) Hyperbolic Matrix(4033,-1845,6608,-3023) (16/35,27/59) -> (36/59,47/77) Hyperbolic Matrix(2129,-975,2688,-1231) (27/59,11/24) -> (19/24,42/53) Hyperbolic Matrix(1063,-488,1344,-617) (11/24,6/13) -> (34/43,19/24) Hyperbolic Matrix(391,-181,728,-337) (6/13,13/28) -> (15/28,7/13) Hyperbolic Matrix(449,-209,840,-391) (13/28,7/15) -> (8/15,15/28) Hyperbolic Matrix(673,-316,952,-447) (7/15,1/2) -> (41/58,29/41) Hyperbolic Matrix(617,-326,952,-503) (1/2,9/17) -> (11/17,35/54) Hyperbolic Matrix(615,-332,728,-393) (7/13,13/24) -> (27/32,11/13) Hyperbolic Matrix(1961,-1063,3304,-1791) (13/24,32/59) -> (35/59,19/32) Hyperbolic Matrix(2519,-1367,3304,-1793) (32/59,19/35) -> (16/21,45/59) Hyperbolic Matrix(1961,-1065,2576,-1399) (19/35,25/46) -> (35/46,16/21) Hyperbolic Matrix(1399,-768,1736,-953) (17/31,28/51) -> (4/5,25/31) Hyperbolic Matrix(4927,-2707,7952,-4369) (39/71,11/20) -> (57/92,44/71) Hyperbolic Matrix(1175,-649,1624,-897) (16/29,5/9) -> (34/47,21/29) Hyperbolic Matrix(391,-218,504,-281) (5/9,14/25) -> (24/31,7/9) Hyperbolic Matrix(43961,-24649,78400,-43959) (97/173,157/280) -> (157/280,60/107) Parabolic Matrix(8233,-4617,12880,-7223) (60/107,23/41) -> (62/97,39/61) Hyperbolic Matrix(5881,-3301,9576,-5375) (55/98,32/57) -> (35/57,43/70) Hyperbolic Matrix(1009,-567,1792,-1007) (32/57,9/16) -> (9/16,31/55) Parabolic Matrix(6833,-3852,10528,-5935) (31/55,53/94) -> (61/94,37/57) Hyperbolic Matrix(225,-128,392,-223) (13/23,4/7) -> (4/7,19/33) Parabolic Matrix(2297,-1323,3304,-1903) (19/33,34/59) -> (41/59,16/23) Hyperbolic Matrix(3919,-2259,6608,-3809) (34/59,49/85) -> (16/27,35/59) Hyperbolic Matrix(31585,-18209,43904,-25311) (49/85,113/196) -> (141/196,100/139) Hyperbolic Matrix(23687,-13657,32928,-18985) (113/196,64/111) -> (41/57,141/196) Hyperbolic Matrix(673,-389,1064,-615) (15/26,11/19) -> (12/19,19/30) Hyperbolic Matrix(895,-519,1064,-617) (11/19,29/50) -> (5/6,16/19) Hyperbolic Matrix(7281,-4225,12544,-7279) (47/81,65/112) -> (65/112,18/31) Parabolic Matrix(2129,-1238,3080,-1791) (25/43,32/55) -> (38/55,9/13) Hyperbolic Matrix(617,-359,672,-391) (32/55,39/67) -> (10/11,1/1) Hyperbolic Matrix(7167,-4174,8848,-5153) (46/79,7/12) -> (81/100,64/79) Hyperbolic Matrix(4031,-2356,4984,-2913) (7/12,38/65) -> (38/47,55/68) Hyperbolic Matrix(10303,-6024,14560,-8513) (38/65,31/53) -> (121/171,46/65) Hyperbolic Matrix(2801,-1639,4592,-2687) (31/53,24/41) -> (25/41,36/59) Hyperbolic Matrix(5879,-3443,8512,-4985) (65/111,41/70) -> (29/42,38/55) Hyperbolic Matrix(2241,-1313,3248,-1903) (41/70,17/29) -> (20/29,29/42) Hyperbolic Matrix(1849,-1089,3136,-1847) (10/17,33/56) -> (33/56,23/39) Parabolic Matrix(1063,-629,1232,-729) (13/22,29/49) -> (6/7,19/22) Hyperbolic Matrix(1289,-763,1512,-895) (29/49,16/27) -> (23/27,6/7) Hyperbolic Matrix(1119,-682,1288,-785) (14/23,25/41) -> (13/15,20/23) Hyperbolic Matrix(727,-445,1008,-617) (11/18,19/31) -> (18/25,13/18) Hyperbolic Matrix(16575,-10174,26824,-16465) (27/44,62/101) -> (76/123,131/212) Hyperbolic Matrix(48441,-29929,78400,-48439) (97/157,173/280) -> (173/280,76/123) Parabolic Matrix(20497,-12666,29904,-18479) (131/212,55/89) -> (61/89,85/124) Hyperbolic Matrix(4817,-2977,6160,-3807) (55/89,34/55) -> (43/55,18/23) Hyperbolic Matrix(9407,-5816,12320,-7617) (34/55,81/131) -> (71/93,42/55) Hyperbolic Matrix(2185,-1352,3528,-2183) (47/76,13/21) -> (13/21,57/92) Parabolic Matrix(4369,-2708,5600,-3471) (44/71,31/50) -> (39/50,32/41) Hyperbolic Matrix(1345,-834,1624,-1007) (31/50,18/29) -> (24/29,5/6) Hyperbolic Matrix(281,-175,448,-279) (18/29,5/8) -> (5/8,17/27) Parabolic Matrix(1063,-670,1512,-953) (17/27,12/19) -> (26/37,19/27) Hyperbolic Matrix(449,-285,616,-391) (19/30,7/11) -> (8/11,19/26) Hyperbolic Matrix(505,-324,784,-503) (16/25,9/14) -> (9/14,20/31) Parabolic Matrix(3361,-2169,4424,-2855) (20/31,71/110) -> (41/54,19/25) Hyperbolic Matrix(10753,-6941,13272,-8567) (71/110,51/79) -> (64/79,47/58) Hyperbolic Matrix(2071,-1343,3024,-1961) (35/54,24/37) -> (13/19,37/54) Hyperbolic Matrix(10473,-6796,13720,-8903) (24/37,61/94) -> (29/38,100/131) Hyperbolic Matrix(953,-649,1232,-839) (2/3,15/22) -> (17/22,41/53) Hyperbolic Matrix(5263,-3607,6048,-4145) (37/54,61/89) -> (20/23,47/54) Hyperbolic Matrix(1177,-811,1624,-1119) (11/16,20/29) -> (21/29,29/40) Hyperbolic Matrix(2185,-1521,3136,-2183) (16/23,39/56) -> (39/56,23/33) Parabolic Matrix(503,-353,560,-393) (7/10,33/47) -> (8/9,9/10) Hyperbolic Matrix(5265,-3721,6496,-4591) (53/75,41/58) -> (47/58,30/37) Hyperbolic Matrix(15679,-11094,20104,-14225) (75/106,121/171) -> (85/109,39/50) Hyperbolic Matrix(281,-200,392,-279) (17/24,5/7) -> (5/7,23/32) Parabolic Matrix(2575,-1853,3192,-2297) (59/82,18/25) -> (25/31,21/26) Hyperbolic Matrix(9073,-6561,12544,-9071) (47/65,81/112) -> (81/112,34/47) Parabolic Matrix(2297,-1681,3136,-2295) (30/41,41/56) -> (41/56,11/15) Parabolic Matrix(727,-534,840,-617) (11/15,25/34) -> (19/22,13/15) Hyperbolic Matrix(839,-619,1064,-785) (14/19,17/23) -> (26/33,15/19) Hyperbolic Matrix(169,-126,224,-167) (20/27,3/4) -> (3/4,22/29) Parabolic Matrix(9521,-7225,12544,-9519) (22/29,85/112) -> (85/112,63/83) Parabolic Matrix(38305,-29241,50176,-38303) (100/131,171/224) -> (171/224,71/93) Parabolic Matrix(2127,-1630,2632,-2017) (36/47,23/30) -> (21/26,38/47) Hyperbolic Matrix(2409,-1849,3136,-2407) (33/43,43/56) -> (43/56,10/13) Parabolic Matrix(22009,-17161,28224,-22007) (46/59,131/168) -> (131/168,85/109) Parabolic Matrix(617,-484,784,-615) (18/23,11/14) -> (11/14,26/33) Parabolic Matrix(2857,-2312,3528,-2855) (55/68,17/21) -> (17/21,81/100) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,1,0,1) -> Matrix(1,0,-25,1) Matrix(447,-35,728,-57) -> Matrix(3,4,-43,-57) Matrix(335,-31,616,-57) -> Matrix(1,0,-13,1) Matrix(393,-41,1064,-111) -> Matrix(3,4,-25,-33) Matrix(729,-85,952,-111) -> Matrix(13,8,-239,-147) Matrix(615,-73,952,-113) -> Matrix(15,8,-227,-121) Matrix(503,-66,1288,-169) -> Matrix(9,8,-80,-71) Matrix(223,-30,840,-113) -> Matrix(13,8,-70,-43) Matrix(617,-92,1120,-167) -> Matrix(1,0,-10,1) Matrix(505,-77,728,-111) -> Matrix(11,4,-179,-65) Matrix(841,-132,1064,-167) -> Matrix(11,4,-212,-77) Matrix(447,-71,1064,-169) -> Matrix(1,0,-7,1) Matrix(617,-106,1624,-279) -> Matrix(1,0,-6,1) Matrix(727,-127,1288,-225) -> Matrix(11,4,-135,-49) Matrix(783,-139,952,-169) -> Matrix(35,12,-703,-241) Matrix(505,-91,616,-111) -> Matrix(25,8,-497,-159) Matrix(447,-82,616,-113) -> Matrix(1,0,-14,1) Matrix(615,-116,896,-169) -> Matrix(15,4,-244,-65) Matrix(615,-118,2632,-505) -> Matrix(41,12,-188,-55) Matrix(1289,-250,2016,-391) -> Matrix(25,8,-372,-119) Matrix(167,-34,280,-57) -> Matrix(1,0,-10,1) Matrix(897,-188,1064,-223) -> Matrix(15,4,-304,-81) Matrix(169,-36,784,-167) -> Matrix(47,12,-192,-49) Matrix(337,-73,1288,-279) -> Matrix(17,4,-81,-19) Matrix(2353,-513,6160,-1343) -> Matrix(17,4,-149,-35) Matrix(2577,-563,3584,-783) -> Matrix(1,0,-13,1) Matrix(1625,-356,2296,-503) -> Matrix(35,8,-582,-133) Matrix(223,-50,504,-113) -> Matrix(1,0,-6,1) Matrix(449,-103,728,-167) -> Matrix(17,4,-251,-59) Matrix(1289,-300,1680,-391) -> Matrix(109,24,-2012,-443) Matrix(3583,-838,8624,-2017) -> Matrix(19,4,-176,-37) Matrix(841,-197,952,-223) -> Matrix(37,8,-791,-171) Matrix(1737,-410,3080,-727) -> Matrix(19,4,-214,-45) Matrix(2017,-478,3304,-783) -> Matrix(115,24,-1634,-341) Matrix(1569,-376,2800,-671) -> Matrix(19,4,-252,-53) Matrix(57,-14,224,-55) -> Matrix(19,4,-100,-21) Matrix(3023,-781,3472,-897) -> Matrix(21,4,-457,-87) Matrix(4761,-1232,6272,-1623) -> Matrix(21,4,-394,-75) Matrix(1065,-277,1288,-335) -> Matrix(1,0,-15,1) Matrix(727,-192,1064,-281) -> Matrix(85,16,-1376,-259) Matrix(1121,-297,2744,-727) -> Matrix(21,4,-205,-39) Matrix(1065,-286,1456,-391) -> Matrix(133,24,-2322,-419) Matrix(225,-61,616,-167) -> Matrix(45,8,-377,-67) Matrix(503,-138,616,-169) -> Matrix(1,0,-14,1) Matrix(727,-201,1624,-449) -> Matrix(1,0,-5,1) Matrix(1457,-404,2016,-559) -> Matrix(45,8,-782,-139) Matrix(391,-109,1008,-281) -> Matrix(1,0,-3,1) Matrix(113,-32,392,-111) -> Matrix(47,8,-288,-49) Matrix(3081,-895,4816,-1399) -> Matrix(73,12,-1089,-179) Matrix(6329,-1840,10976,-3191) -> Matrix(99,16,-1318,-213) Matrix(2407,-701,3080,-897) -> Matrix(49,8,-925,-151) Matrix(1793,-524,2296,-671) -> Matrix(51,8,-950,-149) Matrix(505,-148,952,-279) -> Matrix(25,4,-294,-47) Matrix(559,-165,952,-281) -> Matrix(1,0,-7,1) Matrix(559,-166,1512,-449) -> Matrix(1,0,-2,1) Matrix(391,-118,560,-169) -> Matrix(51,8,-848,-133) Matrix(839,-256,1288,-393) -> Matrix(79,12,-1218,-185) Matrix(617,-189,728,-223) -> Matrix(27,4,-547,-81) Matrix(895,-276,1456,-449) -> Matrix(53,8,-762,-115) Matrix(1345,-417,3248,-1007) -> Matrix(1,0,-3,1) Matrix(729,-227,896,-279) -> Matrix(1,0,-13,1) Matrix(727,-228,896,-281) -> Matrix(27,4,-520,-77) Matrix(783,-248,1064,-337) -> Matrix(109,16,-1928,-283) Matrix(895,-312,1288,-449) -> Matrix(91,12,-1494,-197) Matrix(3359,-1178,5432,-1905) -> Matrix(31,4,-380,-49) Matrix(1345,-474,1904,-671) -> Matrix(125,16,-2086,-267) Matrix(281,-100,784,-279) -> Matrix(127,16,-1024,-129) Matrix(1233,-443,1400,-503) -> Matrix(65,8,-1357,-167) Matrix(1903,-684,2184,-785) -> Matrix(65,8,-1422,-175) Matrix(337,-122,616,-223) -> Matrix(33,4,-388,-47) Matrix(449,-165,1064,-391) -> Matrix(1,0,-1,1) Matrix(3305,-1219,4704,-1735) -> Matrix(1,0,-9,1) Matrix(6607,-2439,9408,-3473) -> Matrix(97,12,-1641,-203) Matrix(169,-63,448,-167) -> Matrix(33,4,-289,-35) Matrix(2073,-787,2800,-1063) -> Matrix(1,0,-9,1) Matrix(6775,-2576,9576,-3641) -> Matrix(1,0,-8,1) Matrix(1345,-512,3528,-1343) -> Matrix(35,4,-324,-37) Matrix(6943,-2649,10864,-4145) -> Matrix(41,4,-605,-59) Matrix(3527,-1346,5432,-2073) -> Matrix(43,4,-656,-61) Matrix(9129,-3488,15680,-5991) -> Matrix(1,0,-2,1) Matrix(5881,-2248,9520,-3639) -> Matrix(1,0,-8,1) Matrix(561,-215,728,-279) -> Matrix(33,4,-619,-75) Matrix(1009,-390,1736,-671) -> Matrix(35,4,-464,-53) Matrix(2521,-982,3304,-1287) -> Matrix(211,24,-3842,-437) Matrix(1905,-743,4592,-1791) -> Matrix(35,4,-359,-41) Matrix(3977,-1554,6160,-2407) -> Matrix(143,16,-2154,-241) Matrix(783,-307,1288,-505) -> Matrix(179,20,-2515,-281) Matrix(169,-67,280,-111) -> Matrix(37,4,-509,-55) Matrix(223,-90,280,-113) -> Matrix(1,0,-10,1) Matrix(1513,-617,2744,-1119) -> Matrix(1,0,-3,1) Matrix(727,-298,1232,-505) -> Matrix(75,8,-1022,-109) Matrix(671,-277,952,-393) -> Matrix(1,0,-7,1) Matrix(3865,-1602,6888,-2855) -> Matrix(1,0,-4,1) Matrix(3361,-1396,4312,-1791) -> Matrix(39,4,-712,-73) Matrix(6833,-2840,9968,-4143) -> Matrix(233,24,-3796,-391) Matrix(1065,-446,1736,-727) -> Matrix(39,4,-556,-57) Matrix(3249,-1364,5600,-2351) -> Matrix(1,0,-4,1) Matrix(169,-72,392,-167) -> Matrix(39,4,-400,-41) Matrix(7897,-3424,10976,-4759) -> Matrix(43,4,-742,-69) Matrix(4705,-2041,5936,-2575) -> Matrix(1,0,-9,1) Matrix(841,-365,1288,-559) -> Matrix(1,0,-5,1) Matrix(1063,-463,1288,-561) -> Matrix(43,4,-871,-81) Matrix(2353,-1026,3080,-1343) -> Matrix(47,4,-858,-73) Matrix(785,-343,1792,-783) -> Matrix(1,0,1,1) Matrix(4033,-1770,6888,-3023) -> Matrix(1,0,-4,1) Matrix(5321,-2337,9688,-4255) -> Matrix(1,0,-3,1) Matrix(10361,-4552,18480,-8119) -> Matrix(77,8,-1030,-107) Matrix(2129,-936,2800,-1231) -> Matrix(39,4,-712,-73) Matrix(3641,-1603,4704,-2071) -> Matrix(79,8,-1511,-153) Matrix(7279,-3207,9408,-4145) -> Matrix(281,28,-5329,-531) Matrix(2801,-1235,3808,-1679) -> Matrix(203,20,-3583,-353) Matrix(953,-428,1120,-503) -> Matrix(1,0,-10,1) Matrix(393,-178,616,-279) -> Matrix(45,4,-664,-59) Matrix(559,-255,616,-281) -> Matrix(1,0,-13,1) Matrix(3641,-1663,6496,-2967) -> Matrix(39,4,-517,-53) Matrix(4033,-1845,6608,-3023) -> Matrix(165,16,-2341,-227) Matrix(2129,-975,2688,-1231) -> Matrix(1,0,-9,1) Matrix(1063,-488,1344,-617) -> Matrix(43,4,-828,-77) Matrix(391,-181,728,-337) -> Matrix(43,4,-527,-49) Matrix(449,-209,840,-391) -> Matrix(45,4,-529,-47) Matrix(673,-316,952,-447) -> Matrix(45,4,-754,-67) Matrix(617,-326,952,-503) -> Matrix(43,4,-656,-61) Matrix(615,-332,728,-393) -> Matrix(1,0,-8,1) Matrix(1961,-1063,3304,-1791) -> Matrix(1,0,-1,1) Matrix(2519,-1367,3304,-1793) -> Matrix(103,8,-1867,-145) Matrix(1961,-1065,2576,-1399) -> Matrix(1,0,-5,1) Matrix(1399,-768,1736,-953) -> Matrix(49,4,-968,-79) Matrix(4927,-2707,7952,-4369) -> Matrix(51,4,-727,-57) Matrix(1175,-649,1624,-897) -> Matrix(1,0,-5,1) Matrix(391,-218,504,-281) -> Matrix(1,0,-6,1) Matrix(43961,-24649,78400,-43959) -> Matrix(269,20,-3645,-271) Matrix(8233,-4617,12880,-7223) -> Matrix(57,4,-841,-59) Matrix(5881,-3301,9576,-5375) -> Matrix(59,4,-841,-57) Matrix(1009,-567,1792,-1007) -> Matrix(1,0,1,1) Matrix(6833,-3852,10528,-5935) -> Matrix(59,4,-900,-61) Matrix(225,-128,392,-223) -> Matrix(51,4,-676,-53) Matrix(2297,-1323,3304,-1903) -> Matrix(109,8,-1785,-131) Matrix(3919,-2259,6608,-3809) -> Matrix(53,4,-729,-55) Matrix(31585,-18209,43904,-25311) -> Matrix(55,4,-949,-69) Matrix(23687,-13657,32928,-18985) -> Matrix(211,16,-3653,-277) Matrix(673,-389,1064,-615) -> Matrix(1,0,-1,1) Matrix(895,-519,1064,-617) -> Matrix(1,0,-7,1) Matrix(7281,-4225,12544,-7279) -> Matrix(1,0,1,1) Matrix(2129,-1238,3080,-1791) -> Matrix(55,4,-894,-65) Matrix(617,-359,672,-391) -> Matrix(1,0,-9,1) Matrix(7167,-4174,8848,-5153) -> Matrix(1,0,-8,1) Matrix(4031,-2356,4984,-2913) -> Matrix(107,8,-2100,-157) Matrix(10303,-6024,14560,-8513) -> Matrix(161,12,-2670,-199) Matrix(2801,-1639,4592,-2687) -> Matrix(51,4,-727,-57) Matrix(5879,-3443,8512,-4985) -> Matrix(51,4,-829,-65) Matrix(2241,-1313,3248,-1903) -> Matrix(1,0,-3,1) Matrix(1849,-1089,3136,-1847) -> Matrix(269,20,-3645,-271) Matrix(1063,-629,1232,-729) -> Matrix(55,4,-1169,-85) Matrix(1289,-763,1512,-895) -> Matrix(1,0,-7,1) Matrix(1119,-682,1288,-785) -> Matrix(113,8,-2472,-175) Matrix(727,-445,1008,-617) -> Matrix(1,0,-3,1) Matrix(16575,-10174,26824,-16465) -> Matrix(57,4,-670,-47) Matrix(48441,-29929,78400,-48439) -> Matrix(1,0,13,1) Matrix(20497,-12666,29904,-18479) -> Matrix(55,4,-894,-65) Matrix(4817,-2977,6160,-3807) -> Matrix(57,4,-1069,-75) Matrix(9407,-5816,12320,-7617) -> Matrix(63,4,-1150,-73) Matrix(2185,-1352,3528,-2183) -> Matrix(55,4,-784,-57) Matrix(4369,-2708,5600,-3471) -> Matrix(115,8,-2142,-149) Matrix(1345,-834,1624,-1007) -> Matrix(1,0,-6,1) Matrix(281,-175,448,-279) -> Matrix(57,4,-841,-59) Matrix(1063,-670,1512,-953) -> Matrix(1,0,-2,1) Matrix(449,-285,616,-391) -> Matrix(117,8,-2033,-139) Matrix(505,-324,784,-503) -> Matrix(239,16,-3600,-241) Matrix(3361,-2169,4424,-2855) -> Matrix(121,8,-2163,-143) Matrix(10753,-6941,13272,-8567) -> Matrix(121,8,-2405,-159) Matrix(2071,-1343,3024,-1961) -> Matrix(487,32,-7929,-521) Matrix(10473,-6796,13720,-8903) -> Matrix(1709,112,-31174,-2043) Matrix(953,-649,1232,-839) -> Matrix(193,12,-3651,-227) Matrix(5263,-3607,6048,-4145) -> Matrix(65,4,-1479,-91) Matrix(1177,-811,1624,-1119) -> Matrix(1,0,-1,1) Matrix(2185,-1521,3136,-2183) -> Matrix(725,44,-11979,-727) Matrix(503,-353,560,-393) -> Matrix(67,4,-1491,-89) Matrix(5265,-3721,6496,-4591) -> Matrix(67,4,-1357,-81) Matrix(15679,-11094,20104,-14225) -> Matrix(131,8,-2440,-149) Matrix(281,-200,392,-279) -> Matrix(135,8,-2312,-137) Matrix(2575,-1853,3192,-2297) -> Matrix(69,4,-1363,-79) Matrix(9073,-6561,12544,-9071) -> Matrix(209,12,-3675,-211) Matrix(2297,-1681,3136,-2295) -> Matrix(909,52,-15925,-911) Matrix(727,-534,840,-617) -> Matrix(141,8,-3014,-171) Matrix(839,-619,1064,-785) -> Matrix(143,8,-2735,-153) Matrix(169,-126,224,-167) -> Matrix(71,4,-1296,-73) Matrix(9521,-7225,12544,-9519) -> Matrix(73,4,-1369,-75) Matrix(38305,-29241,50176,-38303) -> Matrix(5547,304,-101251,-5549) Matrix(2127,-1630,2632,-2017) -> Matrix(221,12,-4328,-235) Matrix(2409,-1849,3136,-2407) -> Matrix(813,44,-15059,-815) Matrix(22009,-17161,28224,-22007) -> Matrix(665,36,-12321,-667) Matrix(617,-484,784,-615) -> Matrix(227,12,-4332,-229) Matrix(2857,-2312,3528,-2855) -> Matrix(79,4,-1600,-81) 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 Imminent integer overflow caused the modular group computation to abort.