INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 128 Genus: 129 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/10 -13/15 -5/6 -4/5 -11/15 -18/25 -7/10 -2/3 -11/18 -3/5 -8/15 -1/2 -7/15 -11/24 -9/20 -53/120 -89/210 -5/12 -2/5 -39/100 -23/60 -89/240 -9/25 -43/120 -16/45 -7/20 -1/3 -19/60 -14/45 -3/10 -8/27 -59/210 -7/25 -5/18 -7/26 -4/15 -1/4 -6/25 -5/21 -11/48 -2/9 -13/60 -3/14 -5/24 -6/29 -1/5 -4/21 -3/16 -5/27 -11/60 -5/28 -5/29 -1/6 -4/25 -3/20 -4/27 -3/22 -2/15 -3/23 -1/8 -1/9 -1/10 -1/11 0/1 1/10 1/9 2/17 1/8 2/15 3/22 1/7 3/20 2/13 3/19 1/6 4/23 3/17 5/28 2/11 5/27 3/16 4/21 1/5 5/24 4/19 3/14 2/9 11/48 3/13 7/30 5/21 1/4 4/15 7/26 5/18 7/25 2/7 3/10 1/3 7/20 9/25 11/30 39/100 2/5 5/12 13/30 9/20 11/24 7/15 1/2 8/15 17/30 3/5 11/18 19/30 29/45 2/3 31/45 7/10 18/25 11/15 23/30 4/5 5/6 13/15 9/10 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 1/1 -9/10 -1/1 -8/9 -1/2 -15/17 0/1 1/3 -7/8 -1/1 -1/2 -13/15 -1/2 -19/22 -1/3 -6/7 -1/3 -17/20 0/1 -28/33 1/0 -11/13 -1/2 0/1 -27/32 -1/2 -3/7 -16/19 -3/7 -5/6 -1/3 -19/23 -1/3 -2/7 -14/17 -1/3 -37/45 -1/4 -23/28 -1/4 -1/5 -32/39 -1/4 -9/11 -1/5 0/1 -22/27 -1/2 -13/16 -1/3 -1/4 -17/21 -2/7 0/1 -4/5 -1/4 -19/24 -2/9 -15/19 -2/9 -1/5 -11/14 -1/5 -18/23 -1/3 -25/32 -1/3 -1/4 -32/41 -1/3 -7/9 -2/9 0/1 -24/31 -1/5 -17/22 -1/5 -44/57 -1/4 -27/35 -1/4 -37/48 -2/9 -47/61 -2/9 -5/23 -10/13 -1/5 -23/30 -1/5 -13/17 -1/5 -4/21 -16/21 -1/6 -3/4 -1/5 -1/6 -17/23 -1/5 -2/11 -14/19 -3/17 -11/15 -1/6 -19/26 -3/19 -46/63 -1/6 -27/37 -4/25 -3/19 -35/48 -2/13 -43/59 -3/19 -2/13 -8/11 -1/7 -21/29 -1/6 -2/13 -13/18 -1/6 -44/61 -17/107 -31/43 -7/45 -2/13 -18/25 -1/6 -41/57 -2/13 0/1 -64/89 -1/7 -23/32 -1/6 -1/7 -28/39 -1/6 -5/7 -2/13 -1/7 -27/38 -1/7 -22/31 -1/7 -17/24 0/1 -29/41 -1/7 0/1 -41/58 -1/5 -12/17 -3/19 -43/61 -2/13 -1/7 -31/44 -3/20 -1/7 -19/27 -2/13 -4/27 -7/10 -1/7 -23/33 -4/29 -2/15 -16/23 -1/7 -41/59 -1/7 -2/15 -25/36 -2/15 -9/13 -1/8 0/1 -11/16 -1/7 -3/22 -13/19 -5/37 -2/15 -15/22 -3/23 -2/3 -1/8 -15/23 -3/25 -2/17 -13/20 -2/17 -11/17 -4/35 -1/9 -9/14 -1/9 -34/53 -1/7 -25/39 -2/17 0/1 -16/25 -1/8 -39/61 -3/25 -2/17 -23/36 -2/17 -7/11 -4/35 -1/9 -19/30 -1/9 -12/19 -1/9 -17/27 -4/37 -2/19 -56/89 -1/9 -39/62 -1/9 -22/35 -3/28 -27/43 -9/85 -2/19 -5/8 -1/9 -1/10 -23/37 -1/9 -4/37 -41/66 -1/9 -18/29 -1/9 -31/50 -1/9 -75/121 -4/37 -7/65 -44/71 -1/9 -13/21 -4/37 -2/19 -34/55 -3/28 -55/89 -16/149 -3/28 -76/123 -3/28 -21/34 -5/47 -8/13 -3/29 -19/31 -4/39 -1/10 -11/18 -1/10 -36/59 -3/35 -61/100 0/1 -25/41 -1/9 0/1 -14/23 -1/9 -17/28 -1/9 -1/10 -3/5 -1/10 -19/32 -1/10 -3/31 -16/27 -1/10 -29/49 -7/73 -2/21 -13/22 -1/11 -36/61 -3/37 -59/100 0/1 -23/39 -2/19 0/1 -10/17 -3/31 -17/29 -1/10 -2/21 -7/12 -2/21 -18/31 -1/11 -29/50 -1/11 -40/69 -1/10 -11/19 -2/21 -1/11 -15/26 -1/11 -34/59 -7/69 -19/33 -4/41 -2/21 -23/40 -2/21 -4/7 -1/11 -17/30 -1/11 -13/23 -1/11 -10/111 -48/85 -7/78 -35/62 -1/11 -57/101 -13/145 -6/67 -22/39 -5/56 -9/16 -1/11 -3/34 -23/41 -4/45 -7/79 -14/25 -3/34 -33/59 -1/11 -2/23 -19/34 -5/57 -24/43 -11/127 -5/9 -2/23 0/1 -16/29 -1/11 -11/20 -2/23 -17/31 -1/12 0/1 -6/11 -1/11 -13/24 -2/23 -7/13 -4/47 -1/12 -15/28 -7/83 -1/12 -8/15 -1/12 -9/17 -5/61 -4/49 -1/2 -1/13 -8/17 -5/69 -7/15 -1/14 -13/28 -1/14 -5/71 -6/13 -3/43 -11/24 -2/29 -5/11 -1/15 0/1 -9/20 0/1 -13/29 -2/27 -1/14 -4/9 -1/14 -19/43 -11/159 -2/29 -53/120 -2/29 -34/77 -21/305 -15/34 -5/73 -26/59 -19/279 -11/25 -1/15 -40/91 -1/15 -29/66 -1/15 -18/41 -3/43 -7/16 -3/44 -1/15 -17/39 -2/29 -4/59 -27/62 -1/15 -10/23 -1/15 -13/30 -1/15 -3/7 -1/15 -2/31 -14/33 -1/16 -39/92 -1/15 -1/16 -64/151 -1/15 -89/210 -1/15 -25/59 -1/15 -2/31 -11/26 -3/47 -19/45 -1/16 -8/19 -1/15 -29/69 -2/31 -4/63 -21/50 -1/16 -13/31 -1/16 0/1 -5/12 0/1 -12/29 -1/15 -31/75 -1/15 -50/121 -21/317 -19/46 -1/15 -7/17 -1/15 0/1 -16/39 -3/46 -57/139 -9/139 -2/31 -41/100 -2/31 -25/61 -2/31 -3/47 -34/83 -3/47 -9/22 -1/15 -11/27 -2/31 -4/63 -2/5 -1/16 -13/33 -2/31 0/1 -24/61 -11/175 -11/28 -1/16 -3/49 -9/23 -2/33 -1/17 -16/41 -3/49 -39/100 -2/33 -23/59 -2/33 -1/17 -7/18 -1/17 -12/31 -1/17 -29/75 -1/17 -17/44 -1/17 -3/52 -5/13 -1/18 0/1 -23/60 0/1 -18/47 -1/11 -13/34 -1/15 -34/89 -1/15 -21/55 -1/15 -8/21 -1/16 -27/71 -2/31 -3/47 -19/50 -1/16 -11/29 -1/16 -2/33 -14/37 -1/17 -31/82 -1/15 -17/45 -1/16 -3/8 -1/16 -1/17 -13/35 -1/16 -36/97 -1/17 -23/62 -1/17 -56/151 -1/17 -89/240 0/1 -33/89 -1/16 0/1 -10/27 -1/16 -27/73 -2/33 -3/50 -44/119 -13/219 -17/46 -1/17 -7/19 -2/33 -1/17 -11/30 -1/17 -4/11 -1/17 -13/36 0/1 -22/61 -5/79 -9/25 -1/17 -32/89 -1/17 -23/64 -1/17 -1/18 -14/39 -1/18 -19/53 -1/19 0/1 -43/120 0/1 -24/67 -1/15 -5/14 -1/17 -21/59 -2/35 -3/53 -16/45 -1/18 -11/31 -1/18 0/1 -6/17 -1/19 -13/37 -1/19 0/1 -7/20 0/1 -8/23 -1/17 -1/3 -2/35 0/1 -7/22 -1/19 -13/41 -1/23 0/1 -19/60 0/1 -6/19 -1/15 -5/16 -1/17 -1/18 -19/61 -1/17 -2/35 -14/45 -1/18 -9/29 -2/35 -1/18 -4/13 -1/17 -11/36 0/1 -18/59 -5/81 -25/82 -1/17 -7/23 -1/17 -2/35 -3/10 -1/18 -11/37 -1/19 0/1 -19/64 -1/18 -1/19 -27/91 -1/18 -2/37 -8/27 -1/18 -13/44 -3/56 -1/19 -31/105 -1/19 -18/61 -7/135 -5/17 -1/17 0/1 -17/58 -3/55 -29/99 -8/147 -2/37 -41/140 -2/37 -12/41 -1/19 -7/24 0/1 -16/55 -1/18 -9/31 -1/18 -4/73 -2/7 -1/19 -11/39 -2/35 0/1 -9/32 -1/17 -1/18 -34/121 -15/269 -59/210 -1/18 -25/89 -1/18 -12/217 -16/57 -1/18 -7/25 -1/18 -19/68 -1/18 -3/55 -12/43 -5/93 -17/61 -2/37 -1/19 -5/18 -1/19 -8/29 -1/19 -11/40 0/1 -3/11 -1/19 0/1 -16/59 -11/201 -13/48 -2/37 -23/85 -3/56 -10/37 -1/19 -17/63 -2/37 -4/75 -24/89 -1/19 -7/26 -1/19 -4/15 -1/19 -9/34 -1/19 -5/19 -1/19 -2/39 -6/23 -1/19 -7/27 -2/39 0/1 -8/31 -1/19 -1/4 -1/19 -1/20 -7/29 -2/39 -1/20 -6/25 -1/20 -5/21 -2/39 0/1 -4/17 -5/99 -7/30 -1/20 -3/13 -1/20 -4/81 -14/61 -19/387 -11/48 -2/41 -19/83 -4/83 -1/21 -8/35 -1/20 -13/57 -4/81 -2/41 -5/22 -1/21 -12/53 -1/21 -7/31 -1/20 -4/81 -2/9 -1/20 -9/41 -1/21 0/1 -7/32 -1/20 -1/21 -5/23 -3/61 -2/41 -13/60 -2/41 -8/37 -5/103 -3/14 -1/21 -13/61 -3/61 -2/41 -10/47 -1/21 -7/33 -2/41 -4/83 -4/19 -1/21 -5/24 -2/41 -6/29 -1/21 -1/5 -1/21 -4/21 -1/22 -3/16 -1/21 -3/64 -5/27 -4/85 -2/43 -7/38 -5/107 -9/49 -13/279 -2/43 -11/60 -2/43 -2/11 -3/65 -7/39 -2/43 -4/87 -5/28 -3/65 -1/22 -8/45 -1/22 -3/17 -1/21 0/1 -7/40 -2/43 -4/23 -3/65 -5/29 -2/43 -1/22 -1/6 -1/22 -5/31 -1/22 -4/89 -4/25 -1/22 -3/19 -2/45 -1/23 -5/32 -1/22 -1/23 -2/13 -3/67 -5/33 -8/179 -2/45 -3/20 -2/45 -4/27 -3/68 -1/7 -2/45 -1/23 -3/22 -1/23 -2/15 -1/23 -5/38 -1/23 -3/23 -1/23 -6/139 -1/8 -1/23 -3/70 -2/17 -9/211 -1/9 -2/47 -4/95 -1/10 -1/24 -1/11 -4/97 -3/73 0/1 -1/27 1/10 -1/30 1/9 -4/121 -2/61 2/17 -9/275 1/8 -3/92 -1/31 2/15 -1/31 3/22 -1/31 1/7 -1/31 -2/63 3/20 -2/63 5/33 -2/63 -8/253 2/13 -3/95 5/32 -1/31 -1/32 3/19 -1/31 -2/63 1/6 -1/32 4/23 -3/97 3/17 -1/33 0/1 8/45 -1/32 5/28 -1/32 -3/97 7/39 -4/129 -2/65 2/11 -3/97 5/27 -2/65 -4/131 3/16 -3/98 -1/33 4/21 -1/32 1/5 -1/33 5/24 -2/67 4/19 -1/33 3/14 -1/33 5/23 -2/67 -3/101 7/32 -1/33 -1/34 9/41 -1/33 0/1 2/9 -1/34 7/31 -4/135 -1/34 5/22 -1/33 13/57 -2/67 -4/135 8/35 -1/34 11/48 -2/67 14/61 -19/639 3/13 -4/135 -1/34 7/30 -1/34 4/17 -5/171 5/21 -2/69 0/1 1/4 -1/34 -1/35 6/23 -1/35 5/19 -2/69 -1/35 4/15 -1/35 7/26 -1/35 17/63 -4/141 -2/71 10/37 -1/35 13/48 -2/71 16/59 -11/393 3/11 -1/35 0/1 8/29 -1/35 5/18 -1/35 17/61 -1/35 -2/71 12/43 -5/177 7/25 -1/36 16/57 -1/36 25/89 -12/431 -1/36 9/32 -1/36 -1/37 11/39 -2/73 0/1 2/7 -1/35 11/38 -1/35 9/31 -4/143 -1/36 7/24 0/1 12/41 -1/35 17/58 -3/107 5/17 -1/37 0/1 18/61 -7/243 13/44 -1/35 -3/106 8/27 -1/36 3/10 -1/36 10/33 -1/36 7/23 -2/73 -1/37 18/59 -5/189 11/36 0/1 4/13 -1/37 5/16 -1/36 -1/37 6/19 -1/39 7/22 -1/35 1/3 -2/73 0/1 8/23 -1/37 7/20 0/1 6/17 -1/35 5/14 -1/37 19/53 -1/35 0/1 14/39 -1/36 9/25 -1/37 22/61 -5/191 13/36 0/1 4/11 -1/37 11/30 -1/37 7/19 -1/37 -2/75 10/27 -1/38 33/89 -1/38 0/1 23/62 -1/37 13/35 -1/38 16/43 -1/41 3/8 -1/37 -1/38 14/37 -1/37 25/66 -1/38 11/29 -2/75 -1/38 19/50 -1/38 46/121 -17/649 27/71 -3/115 -2/77 8/21 -1/38 21/55 -1/39 34/89 -1/39 47/123 -2/79 0/1 13/34 -1/39 5/13 -1/36 0/1 12/31 -1/37 7/18 -1/37 23/59 -1/37 -2/75 39/100 -2/75 16/41 -3/113 9/23 -1/37 -2/75 11/28 -3/113 -1/38 2/5 -1/38 13/32 -1/37 -1/38 11/27 -4/153 -2/77 20/49 -7/269 9/22 -1/39 25/61 -3/115 -2/77 41/100 -2/77 16/39 -3/116 7/17 -1/39 0/1 12/29 -1/39 5/12 0/1 13/31 -1/38 0/1 21/50 -1/38 29/69 -4/153 -2/77 8/19 -1/39 11/26 -3/115 25/59 -2/77 -1/39 14/33 -1/38 17/40 -2/77 3/7 -2/77 -1/39 13/30 -1/39 10/23 -1/39 37/85 -5/196 27/62 -1/39 44/101 -9/353 17/39 -4/157 -2/79 7/16 -1/39 -3/118 18/41 -3/119 11/25 -1/39 26/59 -19/747 15/34 -5/197 19/43 -2/79 -11/435 4/9 -1/40 13/29 -1/40 -2/81 9/20 0/1 14/31 -1/39 5/11 -1/39 0/1 11/24 -2/79 6/13 -3/119 13/28 -5/199 -1/40 7/15 -1/40 8/17 -5/201 1/2 -1/41 9/17 -4/167 -5/209 8/15 -1/42 15/28 -1/42 -7/295 7/13 -1/42 -4/169 13/24 -2/85 6/11 -1/43 11/20 -2/85 16/29 -1/43 5/9 -2/85 0/1 24/43 -11/467 67/120 -2/85 43/77 -2/85 -21/893 19/34 -5/213 33/59 -2/85 -1/43 14/25 -3/128 51/91 -2/85 -3/128 37/66 -3/128 23/41 -7/299 -4/171 9/16 -3/128 -1/43 22/39 -5/214 35/62 -1/43 13/23 -10/429 -1/43 17/30 -1/43 4/7 -1/43 19/33 -2/87 -4/175 53/92 -7/307 -1/44 87/151 -20/879 -1/44 121/210 -1/44 34/59 -7/309 15/26 -1/43 26/45 -1/43 11/19 -1/43 -2/87 40/69 -1/44 29/50 -1/43 18/31 -1/43 7/12 -2/87 17/29 -2/87 -1/44 44/75 -1/44 71/121 -1/45 0/1 27/46 -1/43 10/17 -3/131 23/39 -2/89 0/1 82/139 -1/47 59/100 0/1 36/61 -3/125 49/83 -4/171 -1/43 13/22 -1/43 16/27 -1/44 3/5 -1/44 20/33 -1/44 37/61 -2/89 -1/45 17/28 -1/44 -1/45 14/23 -1/45 25/41 -1/45 0/1 61/100 0/1 36/59 -3/127 11/18 -1/44 19/31 -1/44 -4/177 46/75 -1/44 27/44 -1/44 -3/133 8/13 -3/133 37/60 -2/89 29/47 -2/89 -11/490 21/34 -5/223 55/89 -3/134 -16/715 34/55 -3/134 13/21 -2/89 -4/179 44/71 -1/45 31/50 -1/45 18/29 -1/45 23/37 -4/179 -1/45 51/82 -1/45 28/45 -1/45 5/8 -1/44 -1/45 22/35 -3/134 61/97 -6/269 -1/45 39/62 -1/45 95/151 -3/134 -4/179 151/240 -4/179 56/89 -1/45 17/27 -2/89 -4/179 46/73 -1/45 75/119 -4/179 -9/403 29/46 -1/45 12/19 -1/45 19/30 -1/45 7/11 -1/45 -4/181 23/36 -2/91 39/61 -2/91 -3/137 16/25 -1/46 57/89 -1/46 0/1 41/64 -1/45 -1/46 25/39 -2/91 0/1 34/53 -1/47 77/120 0/1 43/67 -1/43 0/1 9/14 -1/45 38/59 -13/583 29/45 -1/45 20/31 -1/45 11/17 -1/45 -4/181 24/37 -5/227 13/20 -2/91 15/23 -2/91 -3/137 2/3 -1/46 15/22 -3/139 28/41 -11/511 41/60 -2/93 13/19 -2/93 -5/233 11/16 -3/140 -1/47 42/61 -19/891 31/45 -1/47 20/29 -1/47 9/13 -1/46 0/1 25/36 -2/93 41/59 -2/93 -1/47 57/82 -5/233 16/23 -1/47 7/10 -1/47 26/37 -1/47 45/64 -1/47 -3/142 64/91 -1/47 19/27 -4/189 -2/95 31/44 -1/47 -3/142 74/105 -3/142 43/61 -1/47 -2/95 12/17 -3/143 41/58 -1/49 70/99 -1/50 99/140 0/1 29/41 -1/47 0/1 17/24 0/1 39/55 -1/47 22/31 -1/47 5/7 -1/47 -2/95 28/39 -1/48 23/32 -1/47 -1/48 87/121 -1/47 0/1 151/210 -1/47 64/89 -1/47 41/57 -2/95 0/1 18/25 -1/48 49/68 -1/47 -3/142 31/43 -2/95 -7/333 44/61 -17/811 13/18 -1/48 21/29 -2/95 -1/48 29/40 0/1 8/11 -1/47 43/59 -2/95 -3/143 35/48 -2/95 62/85 -5/238 27/37 -3/143 -4/191 46/63 -1/48 65/89 -1/48 -4/193 19/26 -3/143 11/15 -1/48 25/34 -5/241 14/19 -3/145 17/23 -2/97 -1/49 20/27 -1/48 23/31 -1/48 0/1 3/4 -1/48 -1/49 22/29 -1/49 19/25 -1/49 16/21 -1/48 13/17 -4/195 -1/49 23/30 -1/49 10/13 -1/49 47/61 -5/247 -2/99 37/48 -2/99 64/83 -3/149 27/35 -1/50 44/57 -1/50 17/22 -1/49 41/53 -1/49 -4/197 24/31 -1/49 7/9 -2/99 0/1 32/41 -1/51 25/32 -1/50 -1/51 18/23 -1/51 47/60 0/1 29/37 -1/47 0/1 11/14 -1/49 48/61 -13/639 37/47 -3/148 -2/99 26/33 -1/50 15/19 -1/49 -2/99 19/24 -2/99 23/29 -6/299 -1/50 4/5 -1/50 17/21 -2/101 0/1 13/16 -1/50 -1/51 22/27 -1/52 31/38 -1/53 40/49 -1/57 49/60 0/1 9/11 -1/49 0/1 32/39 -1/50 23/28 -1/49 -1/50 37/45 -1/50 14/17 -1/51 33/40 -2/101 19/23 -2/101 -1/51 24/29 -1/51 5/6 -1/51 26/31 -1/51 21/25 -1/51 16/19 -3/155 27/32 -3/155 -1/52 11/13 -1/52 0/1 28/33 -1/54 17/20 0/1 23/27 -2/99 0/1 6/7 -1/51 19/22 -1/51 13/15 -1/52 33/38 -3/157 20/23 -1/53 7/8 -1/52 -1/53 15/17 -1/57 0/1 8/9 -1/52 9/10 -1/53 10/11 -1/53 1/1 -1/55 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(781,706,-1260,-1139) (-1/1,-9/10) -> (-31/50,-75/121) Hyperbolic Matrix(661,592,1140,1021) (-9/10,-8/9) -> (40/69,29/50) Hyperbolic Matrix(239,212,540,479) (-8/9,-15/17) -> (19/43,4/9) Hyperbolic Matrix(1081,952,1500,1321) (-15/17,-7/8) -> (49/68,31/43) Hyperbolic Matrix(181,158,-480,-419) (-7/8,-13/15) -> (-17/45,-3/8) Hyperbolic Matrix(839,726,-2220,-1921) (-13/15,-19/22) -> (-31/82,-17/45) Hyperbolic Matrix(121,104,420,361) (-19/22,-6/7) -> (2/7,11/38) Hyperbolic Matrix(241,206,-420,-359) (-6/7,-17/20) -> (-23/40,-4/7) Hyperbolic Matrix(841,714,1980,1681) (-17/20,-28/33) -> (14/33,17/40) Hyperbolic Matrix(1559,1322,1980,1679) (-28/33,-11/13) -> (37/47,26/33) Hyperbolic Matrix(419,354,780,659) (-11/13,-27/32) -> (15/28,7/13) Hyperbolic Matrix(1499,1264,1920,1619) (-27/32,-16/19) -> (32/41,25/32) Hyperbolic Matrix(659,554,-1500,-1261) (-16/19,-5/6) -> (-29/66,-18/41) Hyperbolic Matrix(1081,894,-1740,-1439) (-5/6,-19/23) -> (-23/37,-41/66) Hyperbolic Matrix(359,296,-1020,-841) (-19/23,-14/17) -> (-6/17,-13/37) Hyperbolic Matrix(479,394,1020,839) (-14/17,-37/45) -> (7/15,8/17) Hyperbolic Matrix(781,642,1680,1381) (-37/45,-23/28) -> (13/28,7/15) Hyperbolic Matrix(1681,1380,2340,1921) (-23/28,-32/39) -> (28/39,23/32) Hyperbolic Matrix(1141,936,3000,2461) (-32/39,-9/11) -> (27/71,8/21) Hyperbolic Matrix(959,782,-1620,-1321) (-9/11,-22/27) -> (-16/27,-29/49) Hyperbolic Matrix(479,390,1620,1319) (-22/27,-13/16) -> (13/44,8/27) Hyperbolic Matrix(419,340,960,779) (-13/16,-17/21) -> (17/39,7/16) Hyperbolic Matrix(779,630,1260,1019) (-17/21,-4/5) -> (34/55,13/21) Hyperbolic Matrix(419,332,-1440,-1141) (-4/5,-19/24) -> (-7/24,-16/55) Hyperbolic Matrix(1019,806,1440,1139) (-19/24,-15/19) -> (29/41,17/24) Hyperbolic Matrix(421,332,-1140,-899) (-15/19,-11/14) -> (-17/46,-7/19) Hyperbolic Matrix(181,142,-840,-659) (-11/14,-18/23) -> (-8/37,-3/14) Hyperbolic Matrix(839,656,1380,1079) (-18/23,-25/32) -> (17/28,14/23) Hyperbolic Matrix(1619,1264,1920,1499) (-25/32,-32/41) -> (16/19,27/32) Hyperbolic Matrix(1261,984,3000,2341) (-32/41,-7/9) -> (29/69,8/19) Hyperbolic Matrix(299,232,540,419) (-7/9,-24/31) -> (16/29,5/9) Hyperbolic Matrix(1321,1022,-1860,-1439) (-24/31,-17/22) -> (-27/38,-22/31) Hyperbolic Matrix(899,694,1320,1019) (-17/22,-44/57) -> (2/3,15/22) Hyperbolic Matrix(959,740,3420,2639) (-44/57,-27/35) -> (7/25,16/57) Hyperbolic Matrix(1559,1202,-5760,-4441) (-27/35,-37/48) -> (-13/48,-23/85) Hyperbolic Matrix(4199,3236,5760,4439) (-37/48,-47/61) -> (43/59,35/48) Hyperbolic Matrix(3781,2912,6000,4621) (-47/61,-10/13) -> (46/73,75/119) Hyperbolic Matrix(599,460,780,599) (-10/13,-23/30) -> (23/30,10/13) Hyperbolic Matrix(781,598,1020,781) (-23/30,-13/17) -> (13/17,23/30) Hyperbolic Matrix(419,320,1020,779) (-13/17,-16/21) -> (16/39,7/17) Hyperbolic Matrix(539,410,-1500,-1141) (-16/21,-3/4) -> (-23/64,-14/39) Hyperbolic Matrix(481,356,-1620,-1199) (-3/4,-17/23) -> (-11/37,-19/64) Hyperbolic Matrix(539,398,1380,1019) (-17/23,-14/19) -> (16/41,9/23) Hyperbolic Matrix(481,354,-1140,-839) (-14/19,-11/15) -> (-19/45,-8/19) Hyperbolic Matrix(659,482,-1560,-1141) (-11/15,-19/26) -> (-11/26,-19/45) Hyperbolic Matrix(3299,2410,-5340,-3901) (-19/26,-46/63) -> (-76/123,-21/34) Hyperbolic Matrix(1019,744,1560,1139) (-46/63,-27/37) -> (15/23,2/3) Hyperbolic Matrix(1319,962,-5760,-4201) (-27/37,-35/48) -> (-11/48,-19/83) Hyperbolic Matrix(4439,3236,5760,4199) (-35/48,-43/59) -> (47/61,37/48) Hyperbolic Matrix(601,438,660,481) (-43/59,-8/11) -> (10/11,1/1) Hyperbolic Matrix(361,262,-660,-479) (-8/11,-21/29) -> (-17/31,-6/11) Hyperbolic Matrix(661,478,1080,781) (-21/29,-13/18) -> (11/18,19/31) Hyperbolic Matrix(1319,952,2160,1559) (-13/18,-44/61) -> (36/59,11/18) Hyperbolic Matrix(1079,778,3660,2639) (-44/61,-31/43) -> (5/17,18/61) Hyperbolic Matrix(1621,1168,-2580,-1859) (-31/43,-18/25) -> (-22/35,-27/43) Hyperbolic Matrix(781,562,3420,2461) (-18/25,-41/57) -> (13/57,8/35) Hyperbolic Matrix(6121,4402,16020,11521) (-41/57,-64/89) -> (34/89,47/123) Hyperbolic Matrix(5519,3968,-13020,-9361) (-64/89,-23/32) -> (-39/92,-64/151) Hyperbolic Matrix(1921,1380,2340,1681) (-23/32,-28/39) -> (32/39,23/28) Hyperbolic Matrix(839,602,2340,1679) (-28/39,-5/7) -> (19/53,14/39) Hyperbolic Matrix(59,42,420,299) (-5/7,-27/38) -> (3/22,1/7) Hyperbolic Matrix(299,212,-1440,-1021) (-22/31,-17/24) -> (-5/24,-6/29) Hyperbolic Matrix(1139,806,1440,1019) (-17/24,-29/41) -> (15/19,19/24) Hyperbolic Matrix(4741,3352,-8400,-5939) (-29/41,-41/58) -> (-35/62,-57/101) Hyperbolic Matrix(481,340,1020,721) (-41/58,-12/17) -> (8/17,1/2) Hyperbolic Matrix(1021,720,3660,2581) (-12/17,-43/61) -> (17/61,12/43) Hyperbolic Matrix(1141,804,-3660,-2579) (-43/61,-31/44) -> (-5/16,-19/61) Hyperbolic Matrix(301,212,1620,1141) (-31/44,-19/27) -> (5/27,3/16) Hyperbolic Matrix(419,294,-600,-421) (-19/27,-7/10) -> (-7/10,-23/33) Parabolic Matrix(359,250,-1380,-961) (-23/33,-16/23) -> (-6/23,-7/27) Hyperbolic Matrix(2581,1794,-6300,-4379) (-16/23,-41/59) -> (-25/61,-34/83) Hyperbolic Matrix(2761,1918,4320,3001) (-41/59,-25/36) -> (23/36,39/61) Hyperbolic Matrix(421,292,780,541) (-25/36,-9/13) -> (7/13,13/24) Hyperbolic Matrix(301,208,-780,-539) (-9/13,-11/16) -> (-17/44,-5/13) Hyperbolic Matrix(539,370,960,659) (-11/16,-13/19) -> (23/41,9/16) Hyperbolic Matrix(419,286,-1320,-901) (-13/19,-15/22) -> (-7/22,-13/41) Hyperbolic Matrix(1019,694,1320,899) (-15/22,-2/3) -> (44/57,17/22) Hyperbolic Matrix(1139,744,1560,1019) (-2/3,-15/23) -> (27/37,46/63) Hyperbolic Matrix(1139,742,1380,899) (-15/23,-13/20) -> (33/40,19/23) Hyperbolic Matrix(179,116,-1020,-661) (-13/20,-11/17) -> (-3/17,-7/40) Hyperbolic Matrix(421,272,-1020,-659) (-11/17,-9/14) -> (-19/46,-7/17) Hyperbolic Matrix(601,386,-1680,-1079) (-9/14,-34/53) -> (-24/67,-5/14) Hyperbolic Matrix(661,424,2340,1501) (-34/53,-25/39) -> (11/39,2/7) Hyperbolic Matrix(359,230,-1500,-961) (-25/39,-16/25) -> (-6/25,-5/21) Hyperbolic Matrix(1679,1074,3000,1919) (-16/25,-39/61) -> (33/59,14/25) Hyperbolic Matrix(3001,1918,4320,2761) (-39/61,-23/36) -> (25/36,41/59) Hyperbolic Matrix(301,192,660,421) (-23/36,-7/11) -> (5/11,11/24) Hyperbolic Matrix(419,266,660,419) (-7/11,-19/30) -> (19/30,7/11) Hyperbolic Matrix(721,456,1140,721) (-19/30,-12/19) -> (12/19,19/30) Hyperbolic Matrix(241,152,-1140,-719) (-12/19,-17/27) -> (-7/33,-4/19) Hyperbolic Matrix(3419,2152,4860,3059) (-17/27,-56/89) -> (64/91,19/27) Hyperbolic Matrix(5519,3472,-14880,-9361) (-56/89,-39/62) -> (-23/62,-56/151) Hyperbolic Matrix(4201,2642,-7440,-4679) (-39/62,-22/35) -> (-48/85,-35/62) Hyperbolic Matrix(421,264,480,301) (-27/43,-5/8) -> (7/8,15/17) Hyperbolic Matrix(61,38,-480,-299) (-5/8,-23/37) -> (-3/23,-1/8) Hyperbolic Matrix(3481,2162,-7920,-4919) (-41/66,-18/29) -> (-40/91,-29/66) Hyperbolic Matrix(1741,1080,3000,1861) (-18/29,-31/50) -> (29/50,18/31) Hyperbolic Matrix(4021,2492,5520,3421) (-75/121,-44/71) -> (8/11,43/59) Hyperbolic Matrix(539,334,3000,1859) (-44/71,-13/21) -> (7/39,2/11) Hyperbolic Matrix(1019,630,1260,779) (-13/21,-34/55) -> (4/5,17/21) Hyperbolic Matrix(1621,1002,2040,1261) (-34/55,-55/89) -> (23/29,4/5) Hyperbolic Matrix(4499,2780,16020,9899) (-55/89,-76/123) -> (16/57,25/89) Hyperbolic Matrix(781,482,-2040,-1259) (-21/34,-8/13) -> (-18/47,-13/34) Hyperbolic Matrix(241,148,-780,-479) (-8/13,-19/31) -> (-9/29,-4/13) Hyperbolic Matrix(781,478,1080,661) (-19/31,-11/18) -> (13/18,21/29) Hyperbolic Matrix(1559,952,2160,1319) (-11/18,-36/59) -> (44/61,13/18) Hyperbolic Matrix(7081,4320,12000,7321) (-36/59,-61/100) -> (59/100,36/61) Hyperbolic Matrix(7381,4502,-18000,-10979) (-61/100,-25/41) -> (-57/139,-41/100) Hyperbolic Matrix(361,220,1380,841) (-25/41,-14/23) -> (6/23,5/19) Hyperbolic Matrix(1079,656,1380,839) (-14/23,-17/28) -> (25/32,18/23) Hyperbolic Matrix(179,108,-300,-181) (-17/28,-3/5) -> (-3/5,-19/32) Parabolic Matrix(1501,890,-3540,-2099) (-19/32,-16/27) -> (-14/33,-39/92) Hyperbolic Matrix(541,320,-2940,-1739) (-29/49,-13/22) -> (-7/38,-9/49) Hyperbolic Matrix(1921,1134,-6300,-3719) (-13/22,-36/61) -> (-18/59,-25/82) Hyperbolic Matrix(7321,4320,12000,7081) (-36/61,-59/100) -> (61/100,36/59) Hyperbolic Matrix(4499,2654,-15360,-9061) (-59/100,-23/39) -> (-29/99,-41/140) Hyperbolic Matrix(241,142,1020,601) (-23/39,-10/17) -> (4/17,5/21) Hyperbolic Matrix(361,212,-1020,-599) (-10/17,-17/29) -> (-11/31,-6/17) Hyperbolic Matrix(301,176,720,421) (-17/29,-7/12) -> (5/12,13/31) Hyperbolic Matrix(299,174,720,419) (-7/12,-18/31) -> (12/29,5/12) Hyperbolic Matrix(1861,1080,3000,1741) (-18/31,-29/50) -> (31/50,18/29) Hyperbolic Matrix(1021,592,1140,661) (-29/50,-40/69) -> (8/9,9/10) Hyperbolic Matrix(659,382,3000,1739) (-40/69,-11/19) -> (9/41,2/9) Hyperbolic Matrix(301,174,-1140,-659) (-11/19,-15/26) -> (-9/34,-5/19) Hyperbolic Matrix(1561,900,3540,2041) (-15/26,-34/59) -> (26/59,15/34) Hyperbolic Matrix(1559,898,-3960,-2281) (-34/59,-19/33) -> (-13/33,-24/61) Hyperbolic Matrix(299,172,1980,1139) (-19/33,-23/40) -> (3/20,5/33) Hyperbolic Matrix(239,136,420,239) (-4/7,-17/30) -> (17/30,4/7) Hyperbolic Matrix(781,442,1380,781) (-17/30,-13/23) -> (13/23,17/30) Hyperbolic Matrix(3721,2102,5100,2881) (-13/23,-48/85) -> (62/85,27/37) Hyperbolic Matrix(3839,2166,-9360,-5281) (-57/101,-22/39) -> (-16/39,-57/139) Hyperbolic Matrix(181,102,960,541) (-22/39,-9/16) -> (3/16,4/21) Hyperbolic Matrix(659,370,960,539) (-9/16,-23/41) -> (13/19,11/16) Hyperbolic Matrix(239,134,-1500,-841) (-23/41,-14/25) -> (-4/25,-3/19) Hyperbolic Matrix(1919,1074,3000,1679) (-14/25,-33/59) -> (39/61,16/25) Hyperbolic Matrix(1499,838,3540,1979) (-33/59,-19/34) -> (11/26,25/59) Hyperbolic Matrix(1801,1006,-4080,-2279) (-19/34,-24/43) -> (-34/77,-15/34) Hyperbolic Matrix(61,34,540,301) (-24/43,-5/9) -> (1/9,2/17) Hyperbolic Matrix(419,232,540,299) (-5/9,-16/29) -> (24/31,7/9) Hyperbolic Matrix(541,298,1200,661) (-16/29,-11/20) -> (9/20,14/31) Hyperbolic Matrix(539,296,1200,659) (-11/20,-17/31) -> (13/29,9/20) Hyperbolic Matrix(239,130,660,359) (-6/11,-13/24) -> (13/36,4/11) Hyperbolic Matrix(541,292,780,421) (-13/24,-7/13) -> (9/13,25/36) Hyperbolic Matrix(659,354,780,419) (-7/13,-15/28) -> (27/32,11/13) Hyperbolic Matrix(299,160,1680,899) (-15/28,-8/15) -> (8/45,5/28) Hyperbolic Matrix(181,96,1020,541) (-8/15,-9/17) -> (3/17,8/45) Hyperbolic Matrix(299,158,1020,539) (-9/17,-1/2) -> (17/58,5/17) Hyperbolic Matrix(721,340,1020,481) (-1/2,-8/17) -> (12/17,41/58) Hyperbolic Matrix(839,394,1020,479) (-8/17,-7/15) -> (37/45,14/17) Hyperbolic Matrix(1381,642,1680,781) (-7/15,-13/28) -> (23/28,37/45) Hyperbolic Matrix(121,56,780,361) (-13/28,-6/13) -> (2/13,5/32) Hyperbolic Matrix(239,110,780,359) (-6/13,-11/24) -> (11/36,4/13) Hyperbolic Matrix(421,192,660,301) (-11/24,-5/11) -> (7/11,23/36) Hyperbolic Matrix(181,82,-660,-299) (-5/11,-9/20) -> (-11/40,-3/11) Hyperbolic Matrix(1261,566,1740,781) (-9/20,-13/29) -> (21/29,29/40) Hyperbolic Matrix(121,54,540,241) (-13/29,-4/9) -> (2/9,7/31) Hyperbolic Matrix(479,212,540,239) (-4/9,-19/43) -> (15/17,8/9) Hyperbolic Matrix(8041,3552,14400,6361) (-19/43,-53/120) -> (67/120,43/77) Hyperbolic Matrix(8039,3550,14400,6359) (-53/120,-34/77) -> (24/43,67/120) Hyperbolic Matrix(2041,900,3540,1561) (-15/34,-26/59) -> (34/59,15/26) Hyperbolic Matrix(1081,476,3000,1321) (-26/59,-11/25) -> (9/25,22/61) Hyperbolic Matrix(2279,1002,3000,1319) (-11/25,-40/91) -> (22/29,19/25) Hyperbolic Matrix(301,132,960,421) (-18/41,-7/16) -> (5/16,6/19) Hyperbolic Matrix(779,340,960,419) (-7/16,-17/39) -> (17/21,13/16) Hyperbolic Matrix(2461,1072,-8400,-3659) (-17/39,-27/62) -> (-17/58,-29/99) Hyperbolic Matrix(2761,1202,-7440,-3239) (-27/62,-10/23) -> (-36/97,-23/62) Hyperbolic Matrix(599,260,1380,599) (-10/23,-13/30) -> (13/30,10/23) Hyperbolic Matrix(181,78,420,181) (-13/30,-3/7) -> (3/7,13/30) Hyperbolic Matrix(61,26,-420,-179) (-3/7,-14/33) -> (-4/27,-1/7) Hyperbolic Matrix(36241,15360,50400,21361) (-64/151,-89/210) -> (151/210,64/89) Hyperbolic Matrix(27179,11518,37800,16019) (-89/210,-25/59) -> (87/121,151/210) Hyperbolic Matrix(1979,838,3540,1499) (-25/59,-11/26) -> (19/34,33/59) Hyperbolic Matrix(2341,984,3000,1261) (-8/19,-29/69) -> (7/9,32/41) Hyperbolic Matrix(119,50,1140,479) (-29/69,-21/50) -> (1/10,1/9) Hyperbolic Matrix(1139,478,3000,1259) (-21/50,-13/31) -> (11/29,19/50) Hyperbolic Matrix(421,176,720,301) (-13/31,-5/12) -> (7/12,17/29) Hyperbolic Matrix(419,174,720,299) (-5/12,-12/29) -> (18/31,7/12) Hyperbolic Matrix(2399,992,3480,1439) (-12/29,-31/75) -> (31/45,20/29) Hyperbolic Matrix(6901,2852,10020,4141) (-31/75,-50/121) -> (42/61,31/45) Hyperbolic Matrix(3539,1462,4500,1859) (-50/121,-19/46) -> (11/14,48/61) Hyperbolic Matrix(779,320,1020,419) (-7/17,-16/39) -> (16/21,13/17) Hyperbolic Matrix(4679,1918,12000,4919) (-41/100,-25/61) -> (23/59,39/100) Hyperbolic Matrix(3179,1302,3660,1499) (-34/83,-9/22) -> (33/38,20/23) Hyperbolic Matrix(299,122,-1620,-661) (-9/22,-11/27) -> (-5/27,-7/38) Hyperbolic Matrix(119,48,-300,-121) (-11/27,-2/5) -> (-2/5,-13/33) Parabolic Matrix(1501,590,-5340,-2099) (-24/61,-11/28) -> (-9/32,-34/121) Hyperbolic Matrix(301,118,1380,541) (-11/28,-9/23) -> (5/23,7/32) Hyperbolic Matrix(1019,398,1380,539) (-9/23,-16/41) -> (14/19,17/23) Hyperbolic Matrix(2881,1124,-9840,-3839) (-16/41,-39/100) -> (-41/140,-12/41) Hyperbolic Matrix(4919,1918,12000,4679) (-39/100,-23/59) -> (25/61,41/100) Hyperbolic Matrix(601,234,2160,841) (-23/59,-7/18) -> (5/18,17/61) Hyperbolic Matrix(299,116,1080,419) (-7/18,-12/31) -> (8/29,5/18) Hyperbolic Matrix(2399,928,3720,1439) (-12/31,-29/75) -> (29/45,20/31) Hyperbolic Matrix(2339,904,-7920,-3061) (-29/75,-17/44) -> (-13/44,-31/105) Hyperbolic Matrix(2221,852,3600,1381) (-5/13,-23/60) -> (37/60,29/47) Hyperbolic Matrix(2219,850,3600,1379) (-23/60,-18/47) -> (8/13,37/60) Hyperbolic Matrix(1439,550,-5340,-2041) (-13/34,-34/89) -> (-24/89,-7/26) Hyperbolic Matrix(4681,1788,6600,2521) (-34/89,-21/55) -> (39/55,22/31) Hyperbolic Matrix(241,92,1260,481) (-21/55,-8/21) -> (4/21,1/5) Hyperbolic Matrix(2461,936,3000,1141) (-8/21,-27/71) -> (9/11,32/39) Hyperbolic Matrix(121,46,-1260,-479) (-27/71,-19/50) -> (-1/10,-1/11) Hyperbolic Matrix(1259,478,3000,1139) (-19/50,-11/29) -> (13/31,21/50) Hyperbolic Matrix(301,114,-1740,-659) (-11/29,-14/37) -> (-4/23,-5/29) Hyperbolic Matrix(3421,1294,4920,1861) (-14/37,-31/82) -> (57/82,16/23) Hyperbolic Matrix(721,268,-2580,-959) (-3/8,-13/35) -> (-7/25,-19/68) Hyperbolic Matrix(4859,1804,6300,2339) (-13/35,-36/97) -> (64/83,27/35) Hyperbolic Matrix(36241,13440,57600,21361) (-56/151,-89/240) -> (151/240,56/89) Hyperbolic Matrix(36239,13438,57600,21359) (-89/240,-33/89) -> (95/151,151/240) Hyperbolic Matrix(2401,890,3240,1201) (-33/89,-10/27) -> (20/27,23/31) Hyperbolic Matrix(2341,866,2760,1021) (-10/27,-27/73) -> (11/13,28/33) Hyperbolic Matrix(1379,510,6000,2219) (-27/73,-44/119) -> (14/61,3/13) Hyperbolic Matrix(2819,1042,4380,1619) (-44/119,-17/46) -> (9/14,38/59) Hyperbolic Matrix(419,154,1140,419) (-7/19,-11/30) -> (11/30,7/19) Hyperbolic Matrix(241,88,660,241) (-11/30,-4/11) -> (4/11,11/30) Hyperbolic Matrix(359,130,660,239) (-4/11,-13/36) -> (13/24,6/11) Hyperbolic Matrix(1319,476,4320,1559) (-13/36,-22/61) -> (18/59,11/36) Hyperbolic Matrix(1321,476,3000,1081) (-22/61,-9/25) -> (11/25,26/59) Hyperbolic Matrix(2519,906,3000,1079) (-9/25,-32/89) -> (26/31,21/25) Hyperbolic Matrix(8101,2912,11520,4141) (-32/89,-23/64) -> (45/64,64/91) Hyperbolic Matrix(1679,602,2340,839) (-14/39,-19/53) -> (5/7,28/39) Hyperbolic Matrix(9241,3312,14400,5161) (-19/53,-43/120) -> (77/120,43/67) Hyperbolic Matrix(9239,3310,14400,5159) (-43/120,-24/67) -> (34/53,77/120) Hyperbolic Matrix(2761,984,4380,1561) (-5/14,-21/59) -> (75/119,29/46) Hyperbolic Matrix(6301,2242,8940,3181) (-21/59,-16/45) -> (74/105,43/61) Hyperbolic Matrix(2281,810,3720,1321) (-16/45,-11/31) -> (19/31,46/75) Hyperbolic Matrix(781,274,1200,421) (-13/37,-7/20) -> (13/20,15/23) Hyperbolic Matrix(779,272,1200,419) (-7/20,-8/23) -> (24/37,13/20) Hyperbolic Matrix(421,146,1560,541) (-8/23,-1/3) -> (17/63,10/37) Hyperbolic Matrix(301,96,1320,421) (-1/3,-7/22) -> (5/22,13/57) Hyperbolic Matrix(2461,780,3600,1141) (-13/41,-19/60) -> (41/60,13/19) Hyperbolic Matrix(2459,778,3600,1139) (-19/60,-6/19) -> (28/41,41/60) Hyperbolic Matrix(421,132,960,301) (-6/19,-5/16) -> (7/16,18/41) Hyperbolic Matrix(5879,1830,10020,3119) (-19/61,-14/45) -> (44/75,71/121) Hyperbolic Matrix(2041,634,3480,1081) (-14/45,-9/29) -> (17/29,44/75) Hyperbolic Matrix(359,110,780,239) (-4/13,-11/36) -> (11/24,6/13) Hyperbolic Matrix(1559,476,4320,1319) (-11/36,-18/59) -> (22/61,13/36) Hyperbolic Matrix(3059,932,4920,1499) (-25/82,-7/23) -> (23/37,51/82) Hyperbolic Matrix(179,54,-600,-181) (-7/23,-3/10) -> (-3/10,-11/37) Parabolic Matrix(7379,2190,11520,3419) (-19/64,-27/91) -> (57/89,41/64) Hyperbolic Matrix(1801,534,4860,1441) (-27/91,-8/27) -> (10/27,33/89) Hyperbolic Matrix(1319,390,1620,479) (-8/27,-13/44) -> (13/16,22/27) Hyperbolic Matrix(5759,1700,8940,2639) (-31/105,-18/61) -> (38/59,29/45) Hyperbolic Matrix(2639,778,3660,1079) (-18/61,-5/17) -> (31/43,44/61) Hyperbolic Matrix(539,158,1020,299) (-5/17,-17/58) -> (1/2,9/17) Hyperbolic Matrix(301,88,1440,421) (-12/41,-7/24) -> (5/24,4/19) Hyperbolic Matrix(4079,1186,6600,1919) (-16/55,-9/31) -> (55/89,34/55) Hyperbolic Matrix(421,122,-1860,-539) (-9/31,-2/7) -> (-12/53,-7/31) Hyperbolic Matrix(1501,424,2340,661) (-2/7,-11/39) -> (25/39,34/53) Hyperbolic Matrix(419,118,2340,659) (-11/39,-9/32) -> (5/28,7/39) Hyperbolic Matrix(21781,6120,37800,10621) (-34/121,-59/210) -> (121/210,34/59) Hyperbolic Matrix(29039,8158,50400,14159) (-59/210,-25/89) -> (87/151,121/210) Hyperbolic Matrix(7799,2190,10680,2999) (-25/89,-16/57) -> (46/63,65/89) Hyperbolic Matrix(2639,740,3420,959) (-16/57,-7/25) -> (27/35,44/57) Hyperbolic Matrix(179,50,1500,419) (-19/68,-12/43) -> (2/17,1/8) Hyperbolic Matrix(2581,720,3660,1021) (-12/43,-17/61) -> (43/61,12/17) Hyperbolic Matrix(841,234,2160,601) (-17/61,-5/18) -> (7/18,23/59) Hyperbolic Matrix(419,116,1080,299) (-5/18,-8/29) -> (12/31,7/18) Hyperbolic Matrix(959,264,1740,479) (-8/29,-11/40) -> (11/20,16/29) Hyperbolic Matrix(2099,570,5520,1499) (-3/11,-16/59) -> (46/121,27/71) Hyperbolic Matrix(1321,358,5760,1561) (-16/59,-13/48) -> (11/48,14/61) Hyperbolic Matrix(2219,600,5100,1379) (-23/85,-10/37) -> (10/23,37/85) Hyperbolic Matrix(541,146,1560,421) (-10/37,-17/63) -> (1/3,8/23) Hyperbolic Matrix(7681,2072,10680,2881) (-17/63,-24/89) -> (64/89,41/57) Hyperbolic Matrix(239,64,-900,-241) (-7/26,-4/15) -> (-4/15,-9/34) Parabolic Matrix(841,220,1380,361) (-5/19,-6/23) -> (14/23,25/41) Hyperbolic Matrix(2039,528,3240,839) (-7/27,-8/31) -> (56/89,17/27) Hyperbolic Matrix(181,46,240,61) (-8/31,-1/4) -> (3/4,22/29) Hyperbolic Matrix(179,44,240,59) (-1/4,-7/29) -> (23/31,3/4) Hyperbolic Matrix(1681,404,3000,721) (-7/29,-6/25) -> (14/25,51/91) Hyperbolic Matrix(601,142,1020,241) (-5/21,-4/17) -> (10/17,23/39) Hyperbolic Matrix(239,56,1020,239) (-4/17,-7/30) -> (7/30,4/17) Hyperbolic Matrix(181,42,780,181) (-7/30,-3/13) -> (3/13,7/30) Hyperbolic Matrix(2881,662,3660,841) (-3/13,-14/61) -> (48/61,37/47) Hyperbolic Matrix(1561,358,5760,1321) (-14/61,-11/48) -> (13/48,16/59) Hyperbolic Matrix(3961,906,6300,1441) (-19/83,-8/35) -> (22/35,61/97) Hyperbolic Matrix(2461,562,3420,781) (-8/35,-13/57) -> (41/57,18/25) Hyperbolic Matrix(421,96,1320,301) (-13/57,-5/22) -> (7/22,1/3) Hyperbolic Matrix(1139,258,1320,299) (-5/22,-12/53) -> (6/7,19/22) Hyperbolic Matrix(241,54,540,121) (-7/31,-2/9) -> (4/9,13/29) Hyperbolic Matrix(1739,382,3000,659) (-2/9,-9/41) -> (11/19,40/69) Hyperbolic Matrix(301,66,1920,421) (-9/41,-7/32) -> (5/32,3/19) Hyperbolic Matrix(541,118,1380,301) (-7/32,-5/23) -> (9/23,11/28) Hyperbolic Matrix(2821,612,3600,781) (-5/23,-13/60) -> (47/60,29/37) Hyperbolic Matrix(2819,610,3600,779) (-13/60,-8/37) -> (18/23,47/60) Hyperbolic Matrix(2641,564,4500,961) (-3/14,-13/61) -> (71/121,27/46) Hyperbolic Matrix(2819,600,3660,779) (-13/61,-10/47) -> (10/13,47/61) Hyperbolic Matrix(301,64,1980,421) (-10/47,-7/33) -> (5/33,2/13) Hyperbolic Matrix(421,88,1440,301) (-4/19,-5/24) -> (7/24,12/41) Hyperbolic Matrix(779,160,2040,419) (-6/29,-1/5) -> (21/55,34/89) Hyperbolic Matrix(481,92,1260,241) (-1/5,-4/21) -> (8/21,21/55) Hyperbolic Matrix(541,102,960,181) (-4/21,-3/16) -> (9/16,22/39) Hyperbolic Matrix(1141,212,1620,301) (-3/16,-5/27) -> (19/27,31/44) Hyperbolic Matrix(2941,540,3600,661) (-9/49,-11/60) -> (49/60,9/11) Hyperbolic Matrix(2939,538,3600,659) (-11/60,-2/11) -> (40/49,49/60) Hyperbolic Matrix(1859,334,3000,539) (-2/11,-7/39) -> (13/21,44/71) Hyperbolic Matrix(659,118,2340,419) (-7/39,-5/28) -> (9/32,11/39) Hyperbolic Matrix(899,160,1680,299) (-5/28,-8/45) -> (8/15,15/28) Hyperbolic Matrix(541,96,1020,181) (-8/45,-3/17) -> (9/17,8/15) Hyperbolic Matrix(481,84,1380,241) (-7/40,-4/23) -> (8/23,7/20) Hyperbolic Matrix(59,10,-360,-61) (-5/29,-1/6) -> (-1/6,-5/31) Parabolic Matrix(1921,308,3000,481) (-5/31,-4/25) -> (16/25,57/89) Hyperbolic Matrix(421,66,1920,301) (-3/19,-5/32) -> (7/32,9/41) Hyperbolic Matrix(361,56,780,121) (-5/32,-2/13) -> (6/13,13/28) Hyperbolic Matrix(1739,264,2760,419) (-2/13,-5/33) -> (17/27,46/73) Hyperbolic Matrix(1021,154,1200,181) (-5/33,-3/20) -> (17/20,23/27) Hyperbolic Matrix(1019,152,1200,179) (-3/20,-4/27) -> (28/33,17/20) Hyperbolic Matrix(1021,140,1320,181) (-1/7,-3/22) -> (17/22,41/53) Hyperbolic Matrix(119,16,-900,-121) (-3/22,-2/15) -> (-2/15,-5/38) Parabolic Matrix(2161,284,3660,481) (-5/38,-3/23) -> (49/83,13/22) Hyperbolic Matrix(179,22,480,59) (-1/8,-2/17) -> (16/43,3/8) Hyperbolic Matrix(301,34,540,61) (-2/17,-1/9) -> (5/9,24/43) Hyperbolic Matrix(479,50,1140,119) (-1/9,-1/10) -> (21/50,29/69) Hyperbolic Matrix(179,16,660,59) (-1/11,0/1) -> (16/59,3/11) Hyperbolic Matrix(479,-46,1260,-121) (0/1,1/10) -> (19/50,46/121) Hyperbolic Matrix(299,-38,480,-61) (1/8,2/15) -> (28/45,5/8) Hyperbolic Matrix(1381,-186,2220,-299) (2/15,3/22) -> (51/82,28/45) Hyperbolic Matrix(179,-26,420,-61) (1/7,3/20) -> (17/40,3/7) Hyperbolic Matrix(841,-134,1500,-239) (3/19,1/6) -> (37/66,23/41) Hyperbolic Matrix(659,-114,1740,-301) (1/6,4/23) -> (14/37,25/66) Hyperbolic Matrix(661,-116,1020,-179) (4/23,3/17) -> (11/17,24/37) Hyperbolic Matrix(661,-122,1620,-299) (2/11,5/27) -> (11/27,20/49) Hyperbolic Matrix(1021,-212,1440,-299) (1/5,5/24) -> (17/24,39/55) Hyperbolic Matrix(719,-152,1140,-241) (4/19,3/14) -> (29/46,12/19) Hyperbolic Matrix(659,-142,840,-181) (3/14,5/23) -> (29/37,11/14) Hyperbolic Matrix(539,-122,1860,-421) (7/31,5/22) -> (11/38,9/31) Hyperbolic Matrix(4201,-962,5760,-1319) (8/35,11/48) -> (35/48,62/85) Hyperbolic Matrix(961,-230,1500,-359) (5/21,1/4) -> (41/64,25/39) Hyperbolic Matrix(1139,-296,1620,-421) (1/4,6/23) -> (26/37,45/64) Hyperbolic Matrix(659,-174,1140,-301) (5/19,4/15) -> (26/45,11/19) Hyperbolic Matrix(901,-242,1560,-419) (4/15,7/26) -> (15/26,26/45) Hyperbolic Matrix(2041,-550,5340,-1439) (7/26,17/63) -> (47/123,13/34) Hyperbolic Matrix(4441,-1202,5760,-1559) (10/37,13/48) -> (37/48,64/83) Hyperbolic Matrix(299,-82,660,-181) (3/11,8/29) -> (14/31,5/11) Hyperbolic Matrix(959,-268,2580,-721) (12/43,7/25) -> (13/35,16/43) Hyperbolic Matrix(7501,-2108,13020,-3659) (25/89,9/32) -> (53/92,87/151) Hyperbolic Matrix(1141,-332,1440,-419) (9/31,7/24) -> (19/24,23/29) Hyperbolic Matrix(3659,-1072,8400,-2461) (12/41,17/58) -> (27/62,44/101) Hyperbolic Matrix(2519,-744,3660,-1081) (18/61,13/44) -> (11/16,42/61) Hyperbolic Matrix(181,-54,600,-179) (8/27,3/10) -> (3/10,10/33) Parabolic Matrix(1021,-310,1380,-419) (10/33,7/23) -> (17/23,20/27) Hyperbolic Matrix(3719,-1134,6300,-1921) (7/23,18/59) -> (36/61,49/83) Hyperbolic Matrix(479,-148,780,-241) (4/13,5/16) -> (27/44,8/13) Hyperbolic Matrix(901,-286,1320,-419) (6/19,7/22) -> (15/22,28/41) Hyperbolic Matrix(841,-296,1020,-359) (7/20,6/17) -> (14/17,33/40) Hyperbolic Matrix(599,-212,1020,-361) (6/17,5/14) -> (27/46,10/17) Hyperbolic Matrix(1079,-386,1680,-601) (5/14,19/53) -> (43/67,9/14) Hyperbolic Matrix(1141,-410,1500,-539) (14/39,9/25) -> (19/25,16/21) Hyperbolic Matrix(899,-332,1140,-421) (7/19,10/27) -> (26/33,15/19) Hyperbolic Matrix(9361,-3472,14880,-5519) (33/89,23/62) -> (39/62,95/151) Hyperbolic Matrix(3239,-1202,7440,-2761) (23/62,13/35) -> (37/85,27/62) Hyperbolic Matrix(419,-158,480,-181) (3/8,14/37) -> (20/23,7/8) Hyperbolic Matrix(4439,-1682,7920,-3001) (25/66,11/29) -> (51/91,37/66) Hyperbolic Matrix(1259,-482,2040,-781) (13/34,5/13) -> (29/47,21/34) Hyperbolic Matrix(539,-208,780,-301) (5/13,12/31) -> (20/29,9/13) Hyperbolic Matrix(10619,-4142,18000,-7021) (39/100,16/41) -> (82/139,59/100) Hyperbolic Matrix(121,-48,300,-119) (11/28,2/5) -> (2/5,13/32) Parabolic Matrix(2039,-830,3540,-1441) (13/32,11/27) -> (19/33,53/92) Hyperbolic Matrix(2399,-980,2940,-1201) (20/49,9/22) -> (31/38,40/49) Hyperbolic Matrix(4379,-1794,6300,-2581) (9/22,25/61) -> (41/59,57/82) Hyperbolic Matrix(10861,-4454,15360,-6299) (41/100,16/39) -> (70/99,99/140) Hyperbolic Matrix(659,-272,1020,-421) (7/17,12/29) -> (20/31,11/17) Hyperbolic Matrix(839,-354,1140,-481) (8/19,11/26) -> (25/34,14/19) Hyperbolic Matrix(2401,-1018,3960,-1679) (25/59,14/33) -> (20/33,37/61) Hyperbolic Matrix(5521,-2406,9360,-4079) (44/101,17/39) -> (23/39,82/139) Hyperbolic Matrix(1261,-554,1500,-659) (18/41,11/25) -> (21/25,16/19) Hyperbolic Matrix(2279,-1006,4080,-1801) (15/34,19/43) -> (43/77,19/34) Hyperbolic Matrix(479,-262,660,-361) (6/11,11/20) -> (29/40,8/11) Hyperbolic Matrix(5939,-3352,8400,-4741) (22/39,35/62) -> (41/58,70/99) Hyperbolic Matrix(4679,-2642,7440,-4201) (35/62,13/23) -> (61/97,39/62) Hyperbolic Matrix(359,-206,420,-241) (4/7,19/33) -> (23/27,6/7) Hyperbolic Matrix(1321,-782,1620,-959) (13/22,16/27) -> (22/27,31/38) Hyperbolic Matrix(181,-108,300,-179) (16/27,3/5) -> (3/5,20/33) Parabolic Matrix(3839,-2330,5340,-3241) (37/61,17/28) -> (23/32,87/121) Hyperbolic Matrix(6959,-4244,9840,-6001) (25/41,61/100) -> (99/140,29/41) Hyperbolic Matrix(5581,-3424,7920,-4859) (46/75,27/44) -> (31/44,74/105) Hyperbolic Matrix(3901,-2410,5340,-3299) (21/34,55/89) -> (65/89,19/26) Hyperbolic Matrix(1139,-706,1260,-781) (44/71,31/50) -> (9/10,10/11) Hyperbolic Matrix(1439,-894,1740,-1081) (18/29,23/37) -> (19/23,24/29) Hyperbolic Matrix(1859,-1168,2580,-1621) (5/8,22/35) -> (18/25,49/68) Hyperbolic Matrix(421,-294,600,-419) (16/23,7/10) -> (7/10,26/37) Parabolic Matrix(1439,-1022,1860,-1321) (22/31,5/7) -> (41/53,24/31) Hyperbolic Matrix(661,-484,900,-659) (19/26,11/15) -> (11/15,25/34) Parabolic Matrix(301,-250,360,-299) (24/29,5/6) -> (5/6,26/31) Parabolic Matrix(781,-676,900,-779) (19/22,13/15) -> (13/15,33/38) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-56,1) Matrix(781,706,-1260,-1139) -> Matrix(3,4,-28,-37) Matrix(661,592,1140,1021) -> Matrix(1,0,-42,1) Matrix(239,212,540,479) -> Matrix(5,2,-198,-79) Matrix(1081,952,1500,1321) -> Matrix(1,2,-48,-95) Matrix(181,158,-480,-419) -> Matrix(3,2,-50,-33) Matrix(839,726,-2220,-1921) -> Matrix(5,2,-78,-31) Matrix(121,104,420,361) -> Matrix(5,2,-178,-71) Matrix(241,206,-420,-359) -> Matrix(7,2,-74,-21) Matrix(841,714,1980,1681) -> Matrix(1,-2,-38,77) Matrix(1559,1322,1980,1679) -> Matrix(1,2,-50,-99) Matrix(419,354,780,659) -> Matrix(7,4,-296,-169) Matrix(1499,1264,1920,1619) -> Matrix(5,2,-248,-99) Matrix(659,554,-1500,-1261) -> Matrix(1,0,-12,1) Matrix(1081,894,-1740,-1439) -> Matrix(5,2,-48,-19) Matrix(359,296,-1020,-841) -> Matrix(7,2,-130,-37) Matrix(479,394,1020,839) -> Matrix(23,6,-924,-241) Matrix(781,642,1680,1381) -> Matrix(25,6,-996,-239) Matrix(1681,1380,2340,1921) -> Matrix(9,2,-428,-95) Matrix(1141,936,3000,2461) -> Matrix(7,2,-270,-77) Matrix(959,782,-1620,-1321) -> Matrix(3,2,-32,-21) Matrix(479,390,1620,1319) -> Matrix(5,2,-178,-71) Matrix(419,340,960,779) -> Matrix(5,2,-198,-79) Matrix(779,630,1260,1019) -> Matrix(13,4,-582,-179) Matrix(419,332,-1440,-1141) -> Matrix(9,2,-158,-35) Matrix(1019,806,1440,1139) -> Matrix(9,2,-428,-95) Matrix(421,332,-1140,-899) -> Matrix(1,0,-12,1) Matrix(181,142,-840,-659) -> Matrix(11,2,-226,-41) Matrix(839,656,1380,1079) -> Matrix(7,2,-312,-89) Matrix(1619,1264,1920,1499) -> Matrix(9,2,-464,-103) Matrix(1261,984,3000,2341) -> Matrix(7,2,-270,-77) Matrix(299,232,540,419) -> Matrix(1,0,-38,1) Matrix(1321,1022,-1860,-1439) -> Matrix(9,2,-68,-15) Matrix(899,694,1320,1019) -> Matrix(7,2,-326,-93) Matrix(959,740,3420,2639) -> Matrix(9,2,-320,-71) Matrix(1559,1202,-5760,-4441) -> Matrix(35,8,-652,-149) Matrix(4199,3236,5760,4439) -> Matrix(19,4,-898,-189) Matrix(3781,2912,6000,4621) -> Matrix(11,2,-490,-89) Matrix(599,460,780,599) -> Matrix(29,6,-1426,-295) Matrix(781,598,1020,781) -> Matrix(41,8,-2004,-391) Matrix(419,320,1020,779) -> Matrix(21,4,-814,-155) Matrix(539,410,-1500,-1141) -> Matrix(1,0,-12,1) Matrix(481,356,-1620,-1199) -> Matrix(11,2,-204,-37) Matrix(539,398,1380,1019) -> Matrix(1,0,-32,1) Matrix(481,354,-1140,-839) -> Matrix(11,2,-182,-33) Matrix(659,482,-1560,-1141) -> Matrix(37,6,-586,-95) Matrix(3299,2410,-5340,-3901) -> Matrix(27,4,-250,-37) Matrix(1019,744,1560,1139) -> Matrix(37,6,-1696,-275) Matrix(1319,962,-5760,-4201) -> Matrix(51,8,-1052,-165) Matrix(4439,3236,5760,4199) -> Matrix(27,4,-1330,-197) Matrix(601,438,660,481) -> Matrix(13,2,-696,-107) Matrix(361,262,-660,-479) -> Matrix(13,2,-150,-23) Matrix(661,478,1080,781) -> Matrix(11,2,-490,-89) Matrix(1319,952,2160,1559) -> Matrix(25,4,-1094,-175) Matrix(1079,778,3660,2639) -> Matrix(13,2,-436,-67) Matrix(1621,1168,-2580,-1859) -> Matrix(27,4,-250,-37) Matrix(781,562,3420,2461) -> Matrix(25,4,-844,-135) Matrix(6121,4402,16020,11521) -> Matrix(13,2,-514,-79) Matrix(5519,3968,-13020,-9361) -> Matrix(13,2,-202,-31) Matrix(1921,1380,2340,1681) -> Matrix(13,2,-644,-99) Matrix(839,602,2340,1679) -> Matrix(13,2,-462,-71) Matrix(59,42,420,299) -> Matrix(27,4,-844,-125) Matrix(299,212,-1440,-1021) -> Matrix(15,2,-308,-41) Matrix(1139,806,1440,1019) -> Matrix(13,2,-644,-99) Matrix(4741,3352,-8400,-5939) -> Matrix(29,6,-324,-67) Matrix(481,340,1020,721) -> Matrix(11,2,-446,-81) Matrix(1021,720,3660,2581) -> Matrix(27,4,-952,-141) Matrix(1141,804,-3660,-2579) -> Matrix(27,4,-466,-69) Matrix(301,212,1620,1141) -> Matrix(1,0,-26,1) Matrix(419,294,-600,-421) -> Matrix(41,6,-294,-43) Matrix(359,250,-1380,-961) -> Matrix(15,2,-278,-37) Matrix(2581,1794,-6300,-4379) -> Matrix(59,8,-922,-125) Matrix(2761,1918,4320,3001) -> Matrix(59,8,-2692,-365) Matrix(421,292,780,541) -> Matrix(31,4,-1310,-169) Matrix(301,208,-780,-539) -> Matrix(1,0,-10,1) Matrix(539,370,960,659) -> Matrix(43,6,-1842,-257) Matrix(419,286,-1320,-901) -> Matrix(15,2,-308,-41) Matrix(1019,694,1320,899) -> Matrix(15,2,-758,-101) Matrix(1139,744,1560,1019) -> Matrix(49,6,-2344,-287) Matrix(1139,742,1380,899) -> Matrix(67,8,-3392,-405) Matrix(179,116,-1020,-661) -> Matrix(35,4,-744,-85) Matrix(421,272,-1020,-659) -> Matrix(35,4,-534,-61) Matrix(601,386,-1680,-1079) -> Matrix(1,0,-8,1) Matrix(661,424,2340,1501) -> Matrix(1,0,-28,1) Matrix(359,230,-1500,-961) -> Matrix(17,2,-332,-39) Matrix(1679,1074,3000,1919) -> Matrix(67,8,-2856,-341) Matrix(3001,1918,4320,2761) -> Matrix(67,8,-3124,-373) Matrix(301,192,660,421) -> Matrix(35,4,-1374,-157) Matrix(419,266,660,419) -> Matrix(71,8,-3204,-361) Matrix(721,456,1140,721) -> Matrix(127,14,-5706,-629) Matrix(241,152,-1140,-719) -> Matrix(55,6,-1146,-125) Matrix(3419,2152,4860,3059) -> Matrix(1,0,-38,1) Matrix(5519,3472,-14880,-9361) -> Matrix(37,4,-620,-67) Matrix(4201,2642,-7440,-4679) -> Matrix(35,4,-394,-45) Matrix(421,264,480,301) -> Matrix(19,2,-998,-105) Matrix(61,38,-480,-299) -> Matrix(17,2,-400,-47) Matrix(3481,2162,-7920,-4919) -> Matrix(37,4,-546,-59) Matrix(1741,1080,3000,1861) -> Matrix(19,2,-808,-85) Matrix(4021,2492,5520,3421) -> Matrix(19,2,-884,-93) Matrix(539,334,3000,1859) -> Matrix(93,10,-3004,-323) Matrix(1019,630,1260,779) -> Matrix(37,4,-1878,-203) Matrix(1621,1002,2040,1261) -> Matrix(19,2,-922,-97) Matrix(4499,2780,16020,9899) -> Matrix(187,20,-6704,-717) Matrix(781,482,-2040,-1259) -> Matrix(19,2,-238,-25) Matrix(241,148,-780,-479) -> Matrix(19,2,-352,-37) Matrix(781,478,1080,661) -> Matrix(19,2,-922,-97) Matrix(1559,952,2160,1319) -> Matrix(41,4,-1958,-191) Matrix(7081,4320,12000,7321) -> Matrix(1,0,-30,1) Matrix(7381,4502,-18000,-10979) -> Matrix(9,2,-140,-31) Matrix(361,220,1380,841) -> Matrix(19,2,-656,-69) Matrix(1079,656,1380,839) -> Matrix(19,2,-960,-101) Matrix(179,108,-300,-181) -> Matrix(39,4,-400,-41) Matrix(1501,890,-3540,-2099) -> Matrix(41,4,-646,-63) Matrix(541,320,-2940,-1739) -> Matrix(127,12,-2720,-257) Matrix(1921,1134,-6300,-3719) -> Matrix(23,2,-380,-33) Matrix(7321,4320,12000,7081) -> Matrix(1,0,-30,1) Matrix(4499,2654,-15360,-9061) -> Matrix(15,2,-278,-37) Matrix(241,142,1020,601) -> Matrix(19,2,-656,-69) Matrix(361,212,-1020,-599) -> Matrix(21,2,-368,-35) Matrix(301,176,720,421) -> Matrix(21,2,-788,-75) Matrix(299,174,720,419) -> Matrix(21,2,-830,-79) Matrix(1861,1080,3000,1741) -> Matrix(23,2,-1024,-89) Matrix(1021,592,1140,661) -> Matrix(1,0,-42,1) Matrix(659,382,3000,1739) -> Matrix(21,2,-704,-67) Matrix(301,174,-1140,-659) -> Matrix(43,4,-828,-77) Matrix(1561,900,3540,2041) -> Matrix(17,2,-672,-79) Matrix(1559,898,-3960,-2281) -> Matrix(41,4,-646,-63) Matrix(299,172,1980,1139) -> Matrix(125,12,-3948,-379) Matrix(239,136,420,239) -> Matrix(65,6,-2806,-259) Matrix(781,442,1380,781) -> Matrix(221,20,-9492,-859) Matrix(3721,2102,5100,2881) -> Matrix(289,26,-13772,-1239) Matrix(3839,2166,-9360,-5281) -> Matrix(313,28,-4818,-431) Matrix(181,102,960,541) -> Matrix(67,6,-2200,-197) Matrix(659,370,960,539) -> Matrix(67,6,-3138,-281) Matrix(239,134,-1500,-841) -> Matrix(113,10,-2520,-223) Matrix(1919,1074,3000,1679) -> Matrix(91,8,-4152,-365) Matrix(1499,838,3540,1979) -> Matrix(45,4,-1744,-155) Matrix(1801,1006,-4080,-2279) -> Matrix(229,20,-3332,-291) Matrix(61,34,540,301) -> Matrix(47,4,-1422,-121) Matrix(419,232,540,299) -> Matrix(1,0,-38,1) Matrix(541,298,1200,661) -> Matrix(23,2,-886,-77) Matrix(539,296,1200,659) -> Matrix(23,2,-932,-81) Matrix(239,130,660,359) -> Matrix(23,2,-840,-73) Matrix(541,292,780,421) -> Matrix(47,4,-2174,-185) Matrix(659,354,780,419) -> Matrix(47,4,-2456,-209) Matrix(299,160,1680,899) -> Matrix(119,10,-3820,-321) Matrix(181,96,1020,541) -> Matrix(49,4,-1556,-127) Matrix(299,158,1020,539) -> Matrix(49,4,-1752,-143) Matrix(721,340,1020,481) -> Matrix(27,2,-1310,-97) Matrix(839,394,1020,479) -> Matrix(83,6,-4164,-301) Matrix(1381,642,1680,781) -> Matrix(85,6,-4236,-299) Matrix(121,56,780,361) -> Matrix(85,6,-2706,-191) Matrix(239,110,780,359) -> Matrix(29,2,-1030,-71) Matrix(421,192,660,301) -> Matrix(59,4,-2670,-181) Matrix(181,82,-660,-299) -> Matrix(1,0,-4,1) Matrix(1261,566,1740,781) -> Matrix(1,0,-34,1) Matrix(121,54,540,241) -> Matrix(29,2,-972,-67) Matrix(479,212,540,239) -> Matrix(29,2,-1494,-103) Matrix(8041,3552,14400,6361) -> Matrix(927,64,-39412,-2721) Matrix(8039,3550,14400,6359) -> Matrix(929,64,-39468,-2719) Matrix(2041,900,3540,1561) -> Matrix(29,2,-1320,-91) Matrix(1081,476,3000,1321) -> Matrix(59,4,-2198,-149) Matrix(2279,1002,3000,1319) -> Matrix(1,0,-34,1) Matrix(301,132,960,421) -> Matrix(29,2,-1088,-75) Matrix(779,340,960,419) -> Matrix(29,2,-1494,-103) Matrix(2461,1072,-8400,-3659) -> Matrix(207,14,-3800,-257) Matrix(2761,1202,-7440,-3239) -> Matrix(59,4,-1018,-69) Matrix(599,260,1380,599) -> Matrix(209,14,-8166,-547) Matrix(181,78,420,181) -> Matrix(61,4,-2364,-155) Matrix(61,26,-420,-179) -> Matrix(61,4,-1388,-91) Matrix(36241,15360,50400,21361) -> Matrix(1,0,-32,1) Matrix(27179,11518,37800,16019) -> Matrix(31,2,-1442,-93) Matrix(1979,838,3540,1499) -> Matrix(61,4,-2608,-171) Matrix(2341,984,3000,1261) -> Matrix(31,2,-1566,-101) Matrix(119,50,1140,479) -> Matrix(95,6,-2866,-181) Matrix(1139,478,3000,1259) -> Matrix(33,2,-1238,-75) Matrix(421,176,720,301) -> Matrix(33,2,-1436,-87) Matrix(419,174,720,299) -> Matrix(29,2,-1262,-87) Matrix(2399,992,3480,1439) -> Matrix(59,4,-2788,-189) Matrix(6901,2852,10020,4141) -> Matrix(301,20,-14132,-939) Matrix(3539,1462,4500,1859) -> Matrix(61,4,-2974,-195) Matrix(779,320,1020,419) -> Matrix(61,4,-2974,-195) Matrix(4679,1918,12000,4919) -> Matrix(125,8,-4672,-299) Matrix(3179,1302,3660,1499) -> Matrix(63,4,-3292,-209) Matrix(299,122,-1620,-661) -> Matrix(125,8,-2672,-171) Matrix(119,48,-300,-121) -> Matrix(31,2,-512,-33) Matrix(1501,590,-5340,-2099) -> Matrix(65,4,-1154,-71) Matrix(301,118,1380,541) -> Matrix(65,4,-2194,-135) Matrix(1019,398,1380,539) -> Matrix(1,0,-32,1) Matrix(2881,1124,-9840,-3839) -> Matrix(131,8,-2440,-149) Matrix(4919,1918,12000,4679) -> Matrix(133,8,-5104,-307) Matrix(601,234,2160,841) -> Matrix(67,4,-2362,-141) Matrix(299,116,1080,419) -> Matrix(33,2,-1172,-71) Matrix(2399,928,3720,1439) -> Matrix(135,8,-6092,-361) Matrix(2339,904,-7920,-3061) -> Matrix(103,6,-1940,-113) Matrix(2221,852,3600,1381) -> Matrix(47,2,-2092,-89) Matrix(2219,850,3600,1379) -> Matrix(19,2,-846,-89) Matrix(1439,550,-5340,-2041) -> Matrix(31,2,-574,-37) Matrix(4681,1788,6600,2521) -> Matrix(1,0,-32,1) Matrix(241,92,1260,481) -> Matrix(31,2,-1008,-65) Matrix(2461,936,3000,1141) -> Matrix(31,2,-1566,-101) Matrix(121,46,-1260,-479) -> Matrix(95,6,-2296,-145) Matrix(1259,478,3000,1139) -> Matrix(33,2,-1238,-75) Matrix(301,114,-1740,-659) -> Matrix(65,4,-1414,-87) Matrix(3421,1294,4920,1861) -> Matrix(35,2,-1628,-93) Matrix(721,268,-2580,-959) -> Matrix(31,2,-574,-37) Matrix(4859,1804,6300,2339) -> Matrix(65,4,-3234,-199) Matrix(36241,13440,57600,21361) -> Matrix(69,4,-3088,-179) Matrix(36239,13438,57600,21359) -> Matrix(61,4,-2730,-179) Matrix(2401,890,3240,1201) -> Matrix(1,0,-32,1) Matrix(2341,866,2760,1021) -> Matrix(33,2,-1766,-107) Matrix(1379,510,6000,2219) -> Matrix(167,10,-5628,-337) Matrix(2819,1042,4380,1619) -> Matrix(1,0,-28,1) Matrix(419,154,1140,419) -> Matrix(67,4,-2496,-149) Matrix(241,88,660,241) -> Matrix(35,2,-1278,-73) Matrix(359,130,660,239) -> Matrix(35,2,-1488,-85) Matrix(1319,476,4320,1559) -> Matrix(1,0,-22,1) Matrix(1321,476,3000,1081) -> Matrix(67,4,-2630,-157) Matrix(2519,906,3000,1079) -> Matrix(1,0,-34,1) Matrix(8101,2912,11520,4141) -> Matrix(33,2,-1568,-95) Matrix(1679,602,2340,839) -> Matrix(37,2,-1758,-95) Matrix(9241,3312,14400,5161) -> Matrix(1,0,-24,1) Matrix(9239,3310,14400,5159) -> Matrix(1,0,-32,1) Matrix(2761,984,4380,1561) -> Matrix(103,6,-4618,-269) Matrix(6301,2242,8940,3181) -> Matrix(141,8,-6680,-379) Matrix(2281,810,3720,1321) -> Matrix(71,4,-3142,-177) Matrix(781,274,1200,421) -> Matrix(41,2,-1866,-91) Matrix(779,272,1200,419) -> Matrix(29,2,-1320,-91) Matrix(421,146,1560,541) -> Matrix(33,2,-1172,-71) Matrix(301,96,1320,421) -> Matrix(37,2,-1240,-67) Matrix(2461,780,3600,1141) -> Matrix(51,2,-2372,-93) Matrix(2459,778,3600,1139) -> Matrix(19,2,-884,-93) Matrix(421,132,960,301) -> Matrix(33,2,-1304,-79) Matrix(5879,1830,10020,3119) -> Matrix(35,2,-1558,-89) Matrix(2041,634,3480,1081) -> Matrix(1,0,-26,1) Matrix(359,110,780,239) -> Matrix(37,2,-1462,-79) Matrix(1559,476,4320,1319) -> Matrix(1,0,-22,1) Matrix(3059,932,4920,1499) -> Matrix(103,6,-4618,-269) Matrix(179,54,-600,-181) -> Matrix(35,2,-648,-37) Matrix(7379,2190,11520,3419) -> Matrix(37,2,-1684,-91) Matrix(1801,534,4860,1441) -> Matrix(37,2,-1388,-75) Matrix(1319,390,1620,479) -> Matrix(37,2,-1906,-103) Matrix(5759,1700,8940,2639) -> Matrix(191,10,-8576,-449) Matrix(2639,778,3660,1079) -> Matrix(41,2,-1948,-95) Matrix(539,158,1020,299) -> Matrix(73,4,-3048,-167) Matrix(301,88,1440,421) -> Matrix(37,2,-1240,-67) Matrix(4079,1186,6600,1919) -> Matrix(69,4,-3088,-179) Matrix(421,122,-1860,-539) -> Matrix(1,0,-2,1) Matrix(1501,424,2340,661) -> Matrix(1,0,-28,1) Matrix(419,118,2340,659) -> Matrix(71,4,-2290,-129) Matrix(21781,6120,37800,10621) -> Matrix(395,22,-17398,-969) Matrix(29039,8158,50400,14159) -> Matrix(577,32,-25370,-1407) Matrix(7799,2190,10680,2999) -> Matrix(145,8,-6942,-383) Matrix(2639,740,3420,959) -> Matrix(37,2,-1832,-99) Matrix(179,50,1500,419) -> Matrix(147,8,-4502,-245) Matrix(2581,720,3660,1021) -> Matrix(75,4,-3544,-189) Matrix(841,234,2160,601) -> Matrix(75,4,-2794,-149) Matrix(419,116,1080,299) -> Matrix(37,2,-1388,-75) Matrix(959,264,1740,479) -> Matrix(39,2,-1658,-85) Matrix(2099,570,5520,1499) -> Matrix(35,2,-1348,-77) Matrix(1321,358,5760,1561) -> Matrix(221,12,-7422,-403) Matrix(2219,600,5100,1379) -> Matrix(151,8,-5908,-313) Matrix(541,146,1560,421) -> Matrix(37,2,-1388,-75) Matrix(7681,2072,10680,2881) -> Matrix(75,4,-3544,-189) Matrix(239,64,-900,-241) -> Matrix(113,6,-2166,-115) Matrix(841,220,1380,361) -> Matrix(39,2,-1736,-89) Matrix(2039,528,3240,839) -> Matrix(77,4,-3446,-179) Matrix(181,46,240,61) -> Matrix(39,2,-1892,-97) Matrix(179,44,240,59) -> Matrix(39,2,-1892,-97) Matrix(1681,404,3000,721) -> Matrix(77,4,-3292,-171) Matrix(601,142,1020,241) -> Matrix(39,2,-1736,-89) Matrix(239,56,1020,239) -> Matrix(199,10,-6786,-341) Matrix(181,42,780,181) -> Matrix(161,8,-5454,-271) Matrix(2881,662,3660,841) -> Matrix(203,10,-10008,-493) Matrix(1561,358,5760,1321) -> Matrix(245,12,-8718,-427) Matrix(3961,906,6300,1441) -> Matrix(43,2,-1914,-89) Matrix(2461,562,3420,781) -> Matrix(81,4,-3868,-191) Matrix(421,96,1320,301) -> Matrix(41,2,-1456,-71) Matrix(1139,258,1320,299) -> Matrix(41,2,-2112,-103) Matrix(241,54,540,121) -> Matrix(41,2,-1620,-79) Matrix(1739,382,3000,659) -> Matrix(41,2,-1784,-87) Matrix(301,66,1920,421) -> Matrix(41,2,-1292,-63) Matrix(541,118,1380,301) -> Matrix(81,4,-3058,-151) Matrix(2821,612,3600,781) -> Matrix(41,2,-1866,-91) Matrix(2819,610,3600,779) -> Matrix(41,2,-2194,-107) Matrix(2641,564,4500,961) -> Matrix(41,2,-1784,-87) Matrix(2819,600,3660,779) -> Matrix(83,4,-4088,-197) Matrix(301,64,1980,421) -> Matrix(81,4,-2572,-127) Matrix(421,88,1440,301) -> Matrix(41,2,-1456,-71) Matrix(779,160,2040,419) -> Matrix(41,2,-1620,-79) Matrix(481,92,1260,241) -> Matrix(43,2,-1656,-77) Matrix(541,102,960,181) -> Matrix(127,6,-5440,-257) Matrix(1141,212,1620,301) -> Matrix(1,0,-26,1) Matrix(2941,540,3600,661) -> Matrix(43,2,-1828,-85) Matrix(2939,538,3600,659) -> Matrix(43,2,-2516,-117) Matrix(1859,334,3000,539) -> Matrix(217,10,-9700,-447) Matrix(659,118,2340,419) -> Matrix(87,4,-3154,-145) Matrix(899,160,1680,299) -> Matrix(219,10,-9220,-421) Matrix(541,96,1020,181) -> Matrix(89,4,-3716,-167) Matrix(481,84,1380,241) -> Matrix(43,2,-1656,-77) Matrix(59,10,-360,-61) -> Matrix(131,6,-2904,-133) Matrix(1921,308,3000,481) -> Matrix(89,4,-4072,-183) Matrix(421,66,1920,301) -> Matrix(45,2,-1508,-67) Matrix(361,56,780,121) -> Matrix(133,6,-5298,-239) Matrix(1739,264,2760,419) -> Matrix(313,14,-14018,-627) Matrix(1021,154,1200,181) -> Matrix(45,2,-2138,-95) Matrix(1019,152,1200,179) -> Matrix(45,2,-2498,-111) Matrix(1021,140,1320,181) -> Matrix(137,6,-6736,-295) Matrix(119,16,-900,-121) -> Matrix(413,18,-9522,-415) Matrix(2161,284,3660,481) -> Matrix(231,10,-9910,-429) Matrix(179,22,480,59) -> Matrix(47,2,-1716,-73) Matrix(301,34,540,61) -> Matrix(95,4,-4014,-169) Matrix(479,50,1140,119) -> Matrix(143,6,-5458,-229) Matrix(179,16,660,59) -> Matrix(97,4,-3468,-143) Matrix(479,-46,1260,-121) -> Matrix(179,6,-6832,-229) Matrix(299,-38,480,-61) -> Matrix(61,2,-2776,-91) Matrix(1381,-186,2220,-299) -> Matrix(497,16,-22334,-719) Matrix(179,-26,420,-61) -> Matrix(125,4,-4844,-155) Matrix(841,-134,1500,-239) -> Matrix(317,10,-13536,-427) Matrix(659,-114,1740,-301) -> Matrix(129,4,-4870,-151) Matrix(661,-116,1020,-179) -> Matrix(131,4,-5928,-181) Matrix(661,-122,1620,-299) -> Matrix(261,8,-10016,-307) Matrix(1021,-212,1440,-299) -> Matrix(67,2,-3116,-93) Matrix(719,-152,1140,-241) -> Matrix(199,6,-8922,-269) Matrix(659,-142,840,-181) -> Matrix(67,2,-3250,-97) Matrix(539,-122,1860,-421) -> Matrix(1,0,-2,1) Matrix(4201,-962,5760,-1319) -> Matrix(267,8,-12716,-381) Matrix(961,-230,1500,-359) -> Matrix(69,2,-3140,-91) Matrix(1139,-296,1620,-421) -> Matrix(139,4,-6568,-189) Matrix(659,-174,1140,-301) -> Matrix(139,4,-6012,-173) Matrix(901,-242,1560,-419) -> Matrix(71,2,-3018,-85) Matrix(2041,-550,5340,-1439) -> Matrix(71,2,-2734,-77) Matrix(4441,-1202,5760,-1559) -> Matrix(283,8,-14044,-397) Matrix(299,-82,660,-181) -> Matrix(1,0,-4,1) Matrix(959,-268,2580,-721) -> Matrix(71,2,-2734,-77) Matrix(7501,-2108,13020,-3659) -> Matrix(289,8,-12680,-351) Matrix(1141,-332,1440,-419) -> Matrix(73,2,-3614,-99) Matrix(3659,-1072,8400,-2461) -> Matrix(499,14,-19568,-549) Matrix(2519,-744,3660,-1081) -> Matrix(211,6,-9882,-281) Matrix(181,-54,600,-179) -> Matrix(71,2,-2592,-73) Matrix(1021,-310,1380,-419) -> Matrix(1,0,-12,1) Matrix(3719,-1134,6300,-1921) -> Matrix(75,2,-3188,-85) Matrix(479,-148,780,-241) -> Matrix(71,2,-3160,-89) Matrix(901,-286,1320,-419) -> Matrix(67,2,-3116,-93) Matrix(841,-296,1020,-359) -> Matrix(71,2,-3586,-101) Matrix(599,-212,1020,-361) -> Matrix(73,2,-3176,-87) Matrix(1079,-386,1680,-601) -> Matrix(1,0,-8,1) Matrix(1141,-410,1500,-539) -> Matrix(1,0,-12,1) Matrix(899,-332,1140,-421) -> Matrix(1,0,-12,1) Matrix(9361,-3472,14880,-5519) -> Matrix(149,4,-6668,-179) Matrix(3239,-1202,7440,-2761) -> Matrix(147,4,-5770,-157) Matrix(419,-158,480,-181) -> Matrix(75,2,-3938,-105) Matrix(4439,-1682,7920,-3001) -> Matrix(149,4,-6370,-171) Matrix(1259,-482,2040,-781) -> Matrix(83,2,-3694,-89) Matrix(539,-208,780,-301) -> Matrix(1,0,-10,1) Matrix(10619,-4142,18000,-7021) -> Matrix(75,2,-3638,-97) Matrix(121,-48,300,-119) -> Matrix(75,2,-2888,-77) Matrix(2039,-830,3540,-1441) -> Matrix(229,6,-10038,-263) Matrix(2399,-980,2940,-1201) -> Matrix(77,2,-4120,-107) Matrix(4379,-1794,6300,-2581) -> Matrix(307,8,-14314,-373) Matrix(10861,-4454,15360,-6299) -> Matrix(77,2,-3966,-103) Matrix(659,-272,1020,-421) -> Matrix(155,4,-7014,-181) Matrix(839,-354,1140,-481) -> Matrix(75,2,-3638,-97) Matrix(2401,-1018,3960,-1679) -> Matrix(1,0,-6,1) Matrix(5521,-2406,9360,-4079) -> Matrix(157,4,-7026,-179) Matrix(1261,-554,1500,-659) -> Matrix(1,0,-12,1) Matrix(2279,-1006,4080,-1801) -> Matrix(789,20,-33572,-851) Matrix(479,-262,660,-361) -> Matrix(85,2,-4038,-95) Matrix(5939,-3352,8400,-4741) -> Matrix(257,6,-12636,-295) Matrix(4679,-2642,7440,-4201) -> Matrix(171,4,-7738,-181) Matrix(359,-206,420,-241) -> Matrix(87,2,-4394,-101) Matrix(1321,-782,1620,-959) -> Matrix(87,2,-4568,-105) Matrix(181,-108,300,-179) -> Matrix(175,4,-7744,-177) Matrix(3839,-2330,5340,-3241) -> Matrix(89,2,-4228,-95) Matrix(6959,-4244,9840,-6001) -> Matrix(1,0,-2,1) Matrix(5581,-3424,7920,-4859) -> Matrix(443,10,-20954,-473) Matrix(3901,-2410,5340,-3299) -> Matrix(179,4,-8458,-189) Matrix(1139,-706,1260,-781) -> Matrix(179,4,-9532,-213) Matrix(1439,-894,1740,-1081) -> Matrix(89,2,-4584,-103) Matrix(1859,-1168,2580,-1621) -> Matrix(179,4,-8458,-189) Matrix(421,-294,600,-419) -> Matrix(281,6,-13254,-283) Matrix(1439,-1022,1860,-1321) -> Matrix(93,2,-4604,-99) Matrix(661,-484,900,-659) -> Matrix(383,8,-18432,-385) Matrix(301,-250,360,-299) -> Matrix(101,2,-5202,-103) Matrix(781,-676,900,-779) -> Matrix(207,4,-10816,-209) 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): 128 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. ----------------------------------------------------------------------- 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.