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): 4104 Minimal number of generators: 685 Number of equivalence classes of cusps: 108 Genus: 289 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 1/1 37/32 37/30 37/29 37/27 37/26 185/129 3/2 37/24 111/71 111/70 37/23 111/68 37/22 185/109 111/65 37/21 111/62 37/20 2/1 15/7 37/17 148/67 148/65 37/16 74/31 111/46 185/76 37/15 5/2 74/29 37/14 148/55 111/41 74/27 148/53 222/79 37/13 3/1 74/23 111/34 33/10 185/56 37/11 592/173 7/2 259/73 111/31 18/5 148/41 407/112 37/10 222/59 296/77 4/1 21/5 148/35 30/7 13/3 74/17 31/7 111/25 9/2 37/8 14/3 24/5 5/1 37/7 16/3 27/5 38/7 11/2 39/7 28/5 17/3 74/13 40/7 23/4 29/5 35/6 6/1 25/4 19/3 32/5 13/2 33/5 20/3 74/11 27/4 7/1 29/4 22/3 37/5 15/2 23/3 31/4 8/1 25/3 17/2 26/3 9/1 19/2 10/1 21/2 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -11/1 -5/17 -10/1 -4/15 -9/1 -7/29 -17/2 -5/22 -8/1 -2/9 -23/3 -7/33 -15/2 -11/54 -37/5 -1/5 -22/3 -16/81 -29/4 -7/36 -7/1 -1/5 -27/4 -11/60 -20/3 -2/11 -33/5 -1/7 -13/2 -1/6 -32/5 -2/11 -19/3 -13/75 -6/1 -4/25 -35/6 -1/6 -29/5 -1/7 -52/9 -10/61 -23/4 -5/32 -40/7 -2/13 -17/3 -5/33 -28/5 -2/15 -39/7 -1/7 -11/2 -1/6 -27/5 -9/61 -43/8 -3/20 -59/11 -23/157 -16/3 -10/69 -37/7 -1/7 -21/4 -13/92 -47/9 -15/107 -26/5 -4/29 -5/1 -1/7 -24/5 -2/15 -19/4 -11/84 -52/11 -18/139 -33/7 -3/23 -113/24 -1/8 -80/17 -2/15 -47/10 -7/54 -14/3 -8/63 -37/8 -1/8 -23/5 -13/105 -32/7 -6/49 -73/16 -41/336 -41/9 -13/107 -9/2 -5/42 -31/7 -1/11 -53/12 -1/4 -75/17 -7/51 -97/22 -7/54 -22/5 -4/33 -35/8 -1/8 -83/19 -1/7 -48/11 -2/17 -13/3 -1/9 -30/7 0/1 -17/4 -1/8 -55/13 -23/195 -38/9 -20/171 -21/5 -7/61 -46/11 0/1 -25/6 -13/114 -4/1 -2/19 -31/8 -3/28 -27/7 -3/29 -50/13 0/1 -73/19 -3/19 -23/6 -3/26 -19/5 -9/85 -34/9 -8/77 -15/4 -7/68 -41/11 -5/49 -26/7 -12/119 -37/10 -1/10 -11/3 -5/51 -51/14 -1/10 -40/11 -2/21 -109/30 -1/10 -69/19 -3/31 -29/8 -5/52 -76/21 -2/21 -47/13 -3/31 -65/18 -25/262 -18/5 -8/85 -25/7 -3/35 -57/16 -1/12 -32/9 -2/21 -71/20 -3/32 -39/11 -1/11 -46/13 -4/45 -7/2 -1/10 -38/11 -16/165 -69/20 -5/52 -31/9 -11/115 -24/7 -2/21 -89/26 -5/54 -154/45 -4/41 -65/19 -7/75 -41/12 -5/52 -17/5 -1/11 -44/13 -6/65 -71/21 -15/163 -27/8 -11/120 -37/11 -1/11 -10/3 -4/45 -53/16 -9/104 -43/13 -5/57 -76/23 -2/23 -185/56 -1/12 -109/33 -1/11 -33/10 -3/34 -23/7 -7/81 -59/18 -19/222 -154/47 -24/281 -95/29 -25/293 -36/11 -14/165 -13/4 -1/12 -42/13 0/1 -29/9 -1/15 -16/5 -2/21 -19/6 -7/78 -22/7 -4/47 -3/1 -1/13 -23/8 -1/12 -20/7 -6/77 -37/13 -1/13 -17/6 -5/66 -65/23 -11/147 -48/17 -2/27 -31/11 -3/41 -76/27 -2/27 -45/16 -3/40 -59/21 -15/203 -14/5 0/1 -67/24 -5/68 -120/43 -10/137 -53/19 -1/13 -39/14 -1/14 -64/23 -2/27 -25/9 -7/97 -111/40 -1/14 -86/31 -24/337 -61/22 -1/14 -36/13 -10/143 -47/17 -5/73 -11/4 -1/16 -52/19 -2/15 -41/15 -1/9 -112/41 -10/109 -183/67 -1/11 -71/26 -3/34 -30/11 0/1 -109/40 -1/12 -79/29 -1/13 -49/18 -5/58 -68/25 -10/121 -19/7 -5/63 -65/24 -17/220 -111/41 -1/13 -46/17 -12/157 -73/27 -19/251 -246/91 -4/53 -173/64 -35/464 -100/37 -10/133 -27/10 -1/14 -89/33 -1/11 -62/23 -4/51 -35/13 -1/13 -78/29 0/1 -43/16 -1/12 -8/3 -2/27 -37/14 -1/14 -29/11 -7/99 -50/19 -4/57 -121/46 -13/186 -71/27 -5/71 -92/35 -22/315 -21/8 -5/72 -76/29 -2/29 -55/21 -13/189 -34/13 0/1 -81/31 -3/43 -47/18 -7/102 -60/23 -10/147 -133/51 -25/369 -73/28 -17/252 -13/5 -1/15 -44/17 -2/29 -75/29 -17/249 -31/12 -7/104 -111/43 -1/15 -80/31 -18/271 -49/19 -11/167 -18/7 -4/63 -41/16 -1/16 -23/9 -1/21 -28/11 -2/21 -33/13 -3/37 -38/15 -8/105 -5/2 -1/14 -37/15 -1/15 -32/13 -6/91 -59/24 -11/168 -27/11 -1/15 -76/31 -2/31 -49/20 -9/140 -120/49 -10/157 -71/29 -1/17 -22/9 -4/63 -39/16 -1/16 -95/39 -1/15 -56/23 -10/159 -185/76 -1/16 -129/53 -23/369 -73/30 -13/210 -17/7 -1/17 -46/19 -4/59 -75/31 -13/199 -104/43 -2/31 -133/55 -19/295 -29/12 -1/16 -70/29 -12/191 -111/46 -1/16 -41/17 -7/113 -94/39 -4/65 -147/61 -25/409 -53/22 -3/50 -65/27 -5/81 -142/59 -12/197 -77/32 -7/116 -12/5 -2/35 -31/13 -1/5 -50/21 0/1 -19/8 -3/40 -64/27 -2/29 -109/46 -1/14 -45/19 -3/43 -116/49 -2/29 -71/30 -1/14 -26/11 -4/59 -33/14 -3/46 -73/31 -11/175 -113/48 -1/16 -40/17 -2/33 -7/3 -1/15 -37/16 -1/16 -30/13 -4/65 -83/36 -11/180 -53/23 -1/17 -23/10 -3/50 -85/37 -7/117 -147/64 -19/320 -62/27 -4/69 -39/17 -1/17 -94/41 -4/67 -149/65 -19/321 -55/24 -7/120 -16/7 -2/33 -89/39 -9/157 -73/32 -9/160 -57/25 -1/19 -41/18 -1/22 -66/29 0/1 -91/40 -1/16 -25/11 -3/47 -84/37 -2/33 -143/63 -5/83 -59/26 -1/18 -34/15 -4/67 -111/49 -1/17 -77/34 -9/154 -43/19 -5/87 -9/4 -1/20 -47/21 -1/9 -38/17 -4/51 -67/30 -1/14 -29/13 -1/15 -49/22 -5/78 -69/31 -1/17 -89/40 -3/44 -20/9 -2/31 -51/23 -3/49 -82/37 0/1 -31/14 -3/50 -73/33 -7/125 -42/19 0/1 -53/24 -1/8 -64/29 -2/27 -11/5 -1/17 -35/16 -1/16 -59/27 -1/15 -24/11 -2/33 -37/17 -1/17 -13/6 -1/18 -41/19 -3/55 -28/13 -2/33 -43/20 -3/56 -15/7 -1/15 -32/15 -2/37 -17/8 -1/20 -19/9 -1/9 -2/1 0/1 -17/9 -1/15 -15/8 -1/20 -43/23 -3/49 -71/38 -5/86 -28/15 -2/37 -13/7 -1/17 -37/20 -1/18 -24/13 -2/37 -59/32 -1/20 -94/51 -4/75 -35/19 -1/19 -11/6 -1/18 -53/29 -1/27 -148/81 0/1 -95/52 -1/4 -42/23 0/1 -31/17 -3/55 -51/28 -3/56 -20/11 -2/39 -49/27 -5/97 -29/16 -1/20 -38/21 -4/89 -9/5 -1/15 -34/19 -4/73 -25/14 -3/58 -66/37 0/1 -107/60 -1/32 -148/83 0/1 -41/23 -1/13 -16/9 -2/37 -39/22 -1/18 -62/35 -4/71 -23/13 -3/55 -99/56 -11/204 -76/43 -2/37 -53/30 -1/18 -83/47 -11/205 -113/64 -3/56 -30/17 -4/75 -37/21 -1/19 -7/4 -1/20 -40/23 -2/37 -73/42 -11/210 -33/19 -3/59 -26/15 -4/81 -123/71 -13/267 -97/56 -1/20 -71/41 -1/21 -45/26 -3/62 -64/37 -2/41 -19/11 -3/65 -50/29 0/1 -31/18 -1/30 -74/43 0/1 -43/25 -1/5 -12/7 -2/35 -77/45 -7/129 -65/38 -5/94 -53/31 -3/55 -41/24 -7/132 -111/65 -1/19 -70/41 -12/229 -99/58 -17/326 -29/17 -1/19 -75/44 -13/256 -46/27 -4/81 -17/10 -1/18 -73/43 -13/245 -129/76 -23/436 -185/109 -1/19 -56/33 -10/191 -39/23 -1/19 -22/13 -4/77 -49/29 -9/175 -27/16 -1/20 -59/35 -11/217 -32/19 -6/119 -37/22 -1/20 -5/3 -1/21 -38/23 -8/175 -33/20 -3/68 -28/17 -2/49 -51/31 -1/35 -74/45 0/1 -23/14 -1/14 -41/25 -1/19 -59/36 -5/92 -77/47 -5/93 -18/11 -4/77 -31/19 -7/141 -106/65 -4/81 -75/46 -17/346 -119/73 -7/143 -44/27 -2/41 -13/8 -1/20 -86/53 -16/321 -73/45 -17/343 -60/37 -10/203 -47/29 -7/143 -81/50 -3/62 -34/21 0/1 -55/34 -13/266 -131/81 -9/185 -76/47 -2/41 -97/60 -7/144 -21/13 -5/103 -92/57 -22/455 -71/44 -5/104 -50/31 -4/83 -79/49 -1/21 -29/18 -7/146 -37/23 -1/21 -8/5 -2/43 -43/27 -1/23 -78/49 0/1 -113/71 -1/21 -148/93 -2/43 -35/22 -1/22 -62/39 -4/89 -151/95 -1/19 -89/56 -1/24 -27/17 -1/21 -100/63 -10/217 -173/109 -35/761 -73/46 -19/414 -46/29 -12/263 -111/70 -1/22 -65/41 -17/375 -84/53 -6/133 -19/12 -5/112 -49/31 -5/117 -128/81 -2/47 -207/131 -3/73 -79/50 -1/22 -109/69 -1/23 -30/19 0/1 -71/45 -3/71 -112/71 -10/241 -41/26 -1/26 -52/33 -2/55 -63/40 -1/36 -74/47 0/1 -11/7 -1/19 -36/23 -10/207 -25/16 -7/148 -64/41 -2/43 -103/66 -1/22 -39/25 -1/21 -92/59 -10/211 -53/34 -1/22 -67/43 -5/107 -148/95 -2/43 -81/52 -5/108 -14/9 0/1 -73/47 -21/449 -59/38 -15/322 -222/143 -2/43 -163/105 -39/839 -104/67 -2/43 -45/29 -3/65 -31/20 -3/64 -79/51 -3/65 -48/31 -2/43 -17/11 -5/109 -37/24 -1/22 -20/13 -6/133 -23/15 -1/23 -49/32 -13/292 -26/17 -4/91 -3/2 -1/22 -25/17 -9/211 -22/15 -4/93 -19/13 -7/167 -73/50 -19/458 -54/37 -4/97 -89/61 -1/23 -35/24 -1/24 -16/11 -2/49 -45/31 -1/29 -74/51 0/1 -29/20 -1/20 -71/49 -1/21 -42/29 0/1 -13/9 -1/23 -75/52 -17/388 -62/43 -16/367 -111/77 -1/23 -49/34 -15/346 -36/25 -14/325 -59/41 -19/443 -23/16 -7/164 -33/23 -3/71 -109/76 -1/24 -185/129 -1/23 -76/53 -2/47 -43/30 -5/118 -10/7 -4/95 -37/26 -1/24 -27/19 -11/265 -98/69 -8/193 -71/50 -15/362 -44/31 -6/145 -17/12 -1/24 -75/53 -31/755 -58/41 -12/293 -41/29 -5/123 -65/46 -7/170 -219/155 -11/269 -592/419 -2/49 -373/264 -15/368 -154/109 -4/99 -89/63 -5/121 -24/17 -2/49 -31/22 -11/270 -69/49 -5/123 -38/27 -16/395 -45/32 -5/124 -7/5 -1/25 -39/28 -1/24 -149/107 -19/455 -259/186 -1/24 -110/79 -16/385 -71/51 -3/73 -32/23 -2/49 -89/64 -1/28 -57/41 -1/23 -25/18 -3/70 -68/49 -14/335 -111/80 -1/24 -43/31 -11/265 -18/13 -8/195 -83/60 -33/808 -148/107 -2/49 -65/47 -25/613 -47/34 -3/74 -123/89 -7/171 -199/144 -7/172 -76/55 -2/49 -105/76 -1/24 -29/21 -5/123 -69/50 -3/74 -109/79 -1/25 -258/187 -24/599 -407/295 -1/25 -149/108 -11/276 -40/29 -2/49 -51/37 -1/25 -62/45 -20/493 -11/8 -5/124 -37/27 -1/25 -26/19 -12/301 -41/30 -5/126 -56/41 -26/655 -71/52 -13/328 -86/63 0/1 -15/11 -7/177 -79/58 -7/178 -222/163 -2/51 -143/105 -7/179 -64/47 -2/51 -49/36 -7/176 -34/25 -8/203 -19/14 -9/230 -42/31 -4/103 -23/17 -3/79 -73/54 -3/86 -123/91 -1/39 -296/219 0/1 -173/128 -1/8 -50/37 0/1 -27/20 -3/76 -4/3 -2/51 -29/22 -1/26 -25/19 -13/341 -71/54 -13/342 -46/35 0/1 -21/16 -7/184 -80/61 -14/369 -59/45 -23/607 -38/29 -20/529 -93/71 -43/1139 -148/113 -2/53 -55/42 -23/610 -17/13 -1/27 -30/23 0/1 -13/10 -1/26 -74/57 -2/53 -61/47 -5/133 -48/37 -2/53 -83/64 -1/28 -118/91 -4/107 -35/27 -1/27 -22/17 -4/107 -75/58 -7/194 -53/41 -1/31 -84/65 -2/51 -31/24 -1/24 -102/79 -8/205 -71/55 -7/181 -111/86 -1/26 -40/31 -6/157 -9/7 -5/133 -41/32 -13/348 -73/57 -41/1099 -32/25 -6/161 -55/43 -31/833 -23/18 -13/350 -37/29 -1/27 -14/11 -8/217 -47/37 -7/191 -127/100 -9/244 -80/63 -2/55 -33/26 -3/82 -52/41 -18/491 -19/15 -11/301 -24/19 -2/55 -29/23 -1/29 -5/4 -1/28 -31/25 -13/361 -26/21 -4/111 -47/38 -15/418 -68/55 -6/167 -21/17 -13/363 -37/30 -1/28 -16/13 -10/281 -75/61 -47/1323 -59/48 -23/648 -43/35 -3/85 -70/57 -4/113 -27/22 -9/254 -65/53 -35/989 -38/31 -24/679 -11/9 -1/29 -39/32 -1/28 -67/55 -3/85 -95/78 -3/86 -28/23 -2/55 -17/14 -5/142 -74/61 -2/57 -57/47 -17/485 -40/33 -2/57 -23/19 -5/143 -75/62 -23/662 -52/43 -10/289 -29/24 -1/28 -35/29 -1/29 -41/34 -3/86 -6/5 -4/115 -25/21 -17/495 -19/16 -13/380 -32/27 -2/59 -13/11 -1/29 -46/39 -8/235 -33/28 -1/28 -53/45 -9/263 -73/62 -29/850 -20/17 -2/59 -47/40 -19/560 -74/63 -2/59 -27/23 -11/325 -7/6 -1/30 -29/25 -7/209 -22/19 -16/479 -37/32 -1/30 -15/13 -11/331 -23/20 -7/212 -31/27 -5/151 -8/7 -2/61 -25/22 -13/398 -17/15 -5/153 -26/23 -4/123 -9/8 -7/216 -19/17 -15/467 -10/9 -4/125 -21/19 -13/409 -11/10 -5/158 -12/11 -10/319 -1/1 -1/35 0/1 0/1 1/1 1/35 11/10 5/158 10/9 4/125 9/8 7/216 17/15 5/153 8/7 2/61 23/20 7/212 15/13 11/331 37/32 1/30 22/19 16/479 29/25 7/209 7/6 1/30 27/23 11/325 20/17 2/59 33/28 1/28 13/11 1/29 32/27 2/59 19/16 13/380 6/5 4/115 35/29 1/29 29/24 1/28 52/43 10/289 23/19 5/143 40/33 2/57 17/14 5/142 28/23 2/55 39/32 1/28 11/9 1/29 27/22 9/254 43/35 3/85 59/48 23/648 16/13 10/281 37/30 1/28 21/17 13/363 47/38 15/418 26/21 4/111 5/4 1/28 24/19 2/55 19/15 11/301 52/41 18/491 33/26 3/82 113/89 1/27 80/63 2/55 47/37 7/191 14/11 8/217 37/29 1/27 23/18 13/350 32/25 6/161 73/57 41/1099 41/32 13/348 9/7 5/133 31/24 1/24 53/41 1/31 75/58 7/194 97/75 7/191 22/17 4/107 35/27 1/27 83/64 1/28 48/37 2/53 13/10 1/26 30/23 0/1 17/13 1/27 55/42 23/610 38/29 20/529 21/16 7/184 46/35 0/1 25/19 13/341 4/3 2/51 31/23 3/77 27/20 3/76 50/37 0/1 73/54 3/86 23/17 3/79 19/14 9/230 34/25 8/203 15/11 7/177 41/30 5/126 26/19 12/301 37/27 1/25 11/8 5/124 51/37 1/25 40/29 2/49 109/79 1/25 69/50 3/74 29/21 5/123 76/55 2/49 47/34 3/74 65/47 25/613 18/13 8/195 25/18 3/70 57/41 1/23 32/23 2/49 71/51 3/73 39/28 1/24 46/33 4/95 7/5 1/25 38/27 16/395 69/49 5/123 31/22 11/270 24/17 2/49 89/63 5/121 154/109 4/99 65/46 7/170 41/29 5/123 17/12 1/24 44/31 6/145 71/50 15/362 27/19 11/265 37/26 1/24 10/7 4/95 53/37 9/211 43/30 5/118 76/53 2/47 185/129 1/23 109/76 1/24 33/23 3/71 23/16 7/164 59/41 19/443 154/107 24/559 95/66 25/582 36/25 14/325 13/9 1/23 42/29 0/1 29/20 1/20 16/11 2/49 19/13 7/167 22/15 4/93 3/2 1/22 23/15 1/23 20/13 6/133 37/24 1/22 17/11 5/109 65/42 11/238 48/31 2/43 31/20 3/64 76/49 2/43 45/29 3/65 59/38 15/322 14/9 0/1 67/43 5/107 120/77 10/213 53/34 1/22 39/25 1/21 64/41 2/43 25/16 7/148 111/71 1/21 86/55 24/503 61/39 1/21 36/23 10/207 47/30 5/102 11/7 1/19 52/33 2/55 41/26 1/26 112/71 10/241 183/116 1/24 71/45 3/71 30/19 0/1 109/69 1/23 79/50 1/22 49/31 5/117 68/43 10/229 19/12 5/112 65/41 17/375 111/70 1/22 46/29 12/263 73/46 19/414 246/155 4/87 173/109 35/761 100/63 10/217 27/17 1/21 89/56 1/24 62/39 4/89 35/22 1/22 78/49 0/1 43/27 1/23 8/5 2/43 37/23 1/21 29/18 7/146 50/31 4/83 121/75 13/269 71/44 5/104 92/57 22/455 21/13 5/103 76/47 2/41 55/34 13/266 34/21 0/1 81/50 3/62 47/29 7/143 60/37 10/203 133/82 25/506 73/45 17/343 13/8 1/20 44/27 2/41 75/46 17/346 31/19 7/141 111/68 1/20 80/49 18/359 49/30 11/218 18/11 4/77 41/25 1/19 23/14 1/14 28/17 2/49 33/20 3/68 38/23 8/175 5/3 1/21 37/22 1/20 32/19 6/119 59/35 11/217 27/16 1/20 76/45 2/39 49/29 9/175 120/71 10/193 71/42 1/18 22/13 4/77 39/23 1/19 95/56 1/20 56/33 10/191 185/109 1/19 129/76 23/436 73/43 13/245 17/10 1/18 46/27 4/81 75/44 13/256 104/61 2/39 133/78 19/370 29/17 1/19 70/41 12/229 111/65 1/19 41/24 7/132 94/55 4/75 147/86 25/466 53/31 3/55 65/38 5/94 142/83 12/223 77/45 7/129 12/7 2/35 31/18 1/30 50/29 0/1 19/11 3/65 64/37 2/41 109/63 1/21 45/26 3/62 116/67 2/41 71/41 1/21 26/15 4/81 33/19 3/59 73/42 11/210 113/65 1/19 40/23 2/37 7/4 1/20 37/21 1/19 30/17 4/75 83/47 11/205 53/30 1/18 23/13 3/55 85/48 7/128 147/83 19/345 62/35 4/71 39/22 1/18 94/53 4/73 149/84 19/344 55/31 7/125 16/9 2/37 89/50 9/158 73/41 9/155 57/32 1/16 41/23 1/13 66/37 0/1 91/51 1/19 25/14 3/58 84/47 2/37 143/80 5/92 59/33 1/17 34/19 4/73 111/62 1/18 77/43 9/161 43/24 5/88 9/5 1/15 47/26 1/26 38/21 4/89 67/37 1/21 29/16 1/20 49/27 5/97 69/38 1/18 89/49 3/61 20/11 2/39 51/28 3/56 82/45 0/1 31/17 3/55 73/40 7/120 42/23 0/1 53/29 1/27 64/35 2/43 11/6 1/18 35/19 1/19 59/32 1/20 24/13 2/37 37/20 1/18 13/7 1/17 41/22 3/50 28/15 2/37 43/23 3/49 15/8 1/20 32/17 2/33 17/9 1/15 19/10 1/26 2/1 0/1 17/8 1/20 15/7 1/15 43/20 3/56 71/33 5/89 28/13 2/33 13/6 1/18 37/17 1/17 24/11 2/33 59/27 1/15 94/43 4/65 35/16 1/16 11/5 1/17 53/24 1/8 148/67 0/1 95/43 1/31 42/19 0/1 31/14 3/50 51/23 3/49 20/9 2/31 49/22 5/78 29/13 1/15 38/17 4/51 9/4 1/20 34/15 4/67 25/11 3/47 66/29 0/1 107/47 1/3 148/65 0/1 41/18 1/22 16/7 2/33 39/17 1/17 62/27 4/69 23/10 3/50 99/43 11/181 76/33 2/33 53/23 1/17 83/36 11/180 113/49 3/49 30/13 4/65 37/16 1/16 7/3 1/15 40/17 2/33 73/31 11/175 33/14 3/46 26/11 4/59 123/52 13/188 97/41 1/15 71/30 1/14 45/19 3/43 64/27 2/29 19/8 3/40 50/21 0/1 31/13 1/5 74/31 0/1 43/18 1/30 12/5 2/35 77/32 7/116 65/27 5/81 53/22 3/50 41/17 7/113 111/46 1/16 70/29 12/191 99/41 17/269 29/12 1/16 75/31 13/199 46/19 4/59 17/7 1/17 73/30 13/210 129/53 23/369 185/76 1/16 56/23 10/159 39/16 1/16 22/9 4/63 49/20 9/140 27/11 1/15 59/24 11/168 32/13 6/91 37/15 1/15 5/2 1/14 38/15 8/105 33/13 3/37 28/11 2/21 51/20 1/0 74/29 0/1 23/9 1/21 41/16 1/16 59/23 5/83 77/30 5/82 18/7 4/63 31/12 7/104 106/41 4/59 75/29 17/249 119/46 7/102 44/17 2/29 13/5 1/15 86/33 16/239 73/28 17/252 60/23 10/147 47/18 7/102 81/31 3/43 34/13 0/1 55/21 13/189 131/50 9/130 76/29 2/29 97/37 7/101 21/8 5/72 92/35 22/315 71/27 5/71 50/19 4/57 79/30 1/14 29/11 7/99 37/14 1/14 8/3 2/27 43/16 1/12 78/29 0/1 113/42 1/14 148/55 2/27 35/13 1/13 62/23 4/51 151/56 1/16 89/33 1/11 27/10 1/14 100/37 10/133 173/64 35/464 73/27 19/251 46/17 12/157 111/41 1/13 65/24 17/220 84/31 6/77 19/7 5/63 49/18 5/58 128/47 2/23 207/76 3/32 79/29 1/13 109/40 1/12 30/11 0/1 71/26 3/34 112/41 10/109 41/15 1/9 52/19 2/15 63/23 -1/1 74/27 0/1 11/4 1/16 36/13 10/143 25/9 7/97 64/23 2/27 103/37 1/13 39/14 1/14 92/33 10/139 53/19 1/13 67/24 5/68 148/53 2/27 81/29 5/67 14/5 0/1 73/26 21/286 59/21 15/203 222/79 2/27 163/58 39/526 104/37 2/27 45/16 3/40 31/11 3/41 79/28 3/40 48/17 2/27 17/6 5/66 37/13 1/13 20/7 6/77 23/8 1/12 49/17 13/163 26/9 4/49 3/1 1/13 25/8 9/104 22/7 4/47 19/6 7/78 73/23 19/207 54/17 4/43 89/28 1/12 35/11 1/11 16/5 2/21 45/14 1/6 74/23 0/1 29/9 1/15 71/22 1/14 42/13 0/1 13/4 1/12 75/23 17/207 62/19 16/193 111/34 1/12 49/15 15/179 36/11 14/165 59/18 19/222 23/7 7/81 33/10 3/34 109/33 1/11 185/56 1/12 76/23 2/23 43/13 5/57 10/3 4/45 37/11 1/11 27/8 11/120 98/29 8/87 71/21 15/163 44/13 6/65 17/5 1/11 75/22 31/330 58/17 12/127 41/12 5/52 65/19 7/75 219/64 11/116 592/173 2/21 373/109 15/157 154/45 4/41 89/26 5/54 24/7 2/21 31/9 11/115 69/20 5/52 38/11 16/165 45/13 5/51 7/2 1/10 39/11 1/11 149/42 19/210 259/73 1/11 110/31 16/175 71/20 3/32 32/9 2/21 89/25 1/7 57/16 1/12 25/7 3/35 68/19 14/155 111/31 1/11 43/12 11/120 18/5 8/85 83/23 33/347 148/41 2/21 65/18 25/262 47/13 3/31 123/34 7/74 199/55 7/73 76/21 2/21 105/29 1/11 29/8 5/52 69/19 3/31 109/30 1/10 258/71 24/241 407/112 1/10 149/41 11/109 40/11 2/21 51/14 1/10 62/17 20/207 11/3 5/51 37/10 1/10 26/7 12/119 41/11 5/49 56/15 26/255 71/19 13/127 86/23 0/1 15/4 7/68 79/21 7/67 222/59 2/19 143/38 7/66 64/17 2/19 49/13 7/69 34/9 8/77 19/5 9/85 42/11 4/37 23/6 3/26 73/19 3/19 123/32 -1/4 296/77 0/1 173/45 1/27 50/13 0/1 27/7 3/29 4/1 2/19 29/7 1/9 25/6 13/114 71/17 13/113 46/11 0/1 21/5 7/61 80/19 14/121 59/14 23/198 38/9 20/171 93/22 43/366 148/35 2/17 55/13 23/195 17/4 1/8 30/7 0/1 13/3 1/9 74/17 2/17 61/14 5/42 48/11 2/17 83/19 1/7 118/27 4/33 35/8 1/8 22/5 4/33 75/17 7/51 53/12 1/4 84/19 2/19 31/7 1/11 102/23 8/75 71/16 7/64 111/25 1/9 40/9 6/53 9/2 5/42 41/9 13/107 73/16 41/336 32/7 6/49 55/12 31/252 23/5 13/105 37/8 1/8 14/3 8/63 47/10 7/54 127/27 9/71 80/17 2/15 33/7 3/23 52/11 18/139 19/4 11/84 24/5 2/15 29/6 1/6 5/1 1/7 31/6 13/94 26/5 4/29 47/9 15/107 68/13 6/43 21/4 13/92 37/7 1/7 16/3 10/69 75/14 47/322 59/11 23/157 43/8 3/20 70/13 4/27 27/5 9/61 65/12 35/236 38/7 24/161 11/2 1/6 39/7 1/7 67/12 3/20 95/17 3/19 28/5 2/15 17/3 5/33 74/13 2/13 57/10 17/110 40/7 2/13 23/4 5/32 75/13 23/143 52/9 10/61 29/5 1/7 35/6 1/6 41/7 3/19 6/1 4/25 25/4 17/100 19/3 13/75 32/5 2/11 13/2 1/6 46/7 8/45 33/5 1/7 53/8 9/52 73/11 29/165 20/3 2/11 47/7 19/105 74/11 2/11 27/4 11/60 7/1 1/5 29/4 7/36 22/3 16/81 37/5 1/5 15/2 11/54 23/3 7/33 31/4 5/24 8/1 2/9 25/3 13/57 17/2 5/22 26/3 4/17 9/1 7/29 19/2 15/58 10/1 4/15 21/2 13/46 11/1 5/17 12/1 10/31 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(147,1702,-64,-741) (-11/1,1/0) -> (-85/37,-147/64) Hyperbolic Matrix(75,814,-34,-369) (-11/1,-10/1) -> (-64/29,-11/5) Hyperbolic Matrix(149,1406,-94,-887) (-10/1,-9/1) -> (-65/41,-84/53) Hyperbolic Matrix(147,1258,-52,-445) (-9/1,-17/2) -> (-17/6,-65/23) Hyperbolic Matrix(223,1850,-98,-813) (-17/2,-8/1) -> (-66/29,-91/40) Hyperbolic Matrix(297,2294,-134,-1035) (-8/1,-23/3) -> (-51/23,-82/37) Hyperbolic Matrix(223,1702,68,519) (-23/3,-15/2) -> (59/18,23/7) Hyperbolic Matrix(149,1110,20,149) (-15/2,-37/5) -> (37/5,15/2) Hyperbolic Matrix(221,1628,30,221) (-37/5,-22/3) -> (22/3,37/5) Hyperbolic Matrix(295,2146,244,1775) (-22/3,-29/4) -> (29/24,52/43) Hyperbolic Matrix(297,2146,164,1185) (-29/4,-7/1) -> (67/37,29/16) Hyperbolic Matrix(371,2516,142,963) (-7/1,-27/4) -> (47/18,81/31) Hyperbolic Matrix(221,1480,-188,-1259) (-27/4,-20/3) -> (-20/17,-47/40) Hyperbolic Matrix(593,3922,-246,-1627) (-20/3,-33/5) -> (-41/17,-94/39) Hyperbolic Matrix(147,962,-68,-445) (-33/5,-13/2) -> (-13/6,-41/19) Hyperbolic Matrix(149,962,46,297) (-13/2,-32/5) -> (42/13,13/4) Hyperbolic Matrix(221,1406,58,369) (-32/5,-19/3) -> (19/5,42/11) Hyperbolic Matrix(223,1406,-82,-517) (-19/3,-6/1) -> (-68/25,-19/7) Hyperbolic Matrix(593,3478,-126,-739) (-6/1,-35/6) -> (-113/24,-80/17) Hyperbolic Matrix(813,4736,292,1701) (-35/6,-29/5) -> (103/37,39/14) Hyperbolic Matrix(371,2146,320,1851) (-29/5,-52/9) -> (22/19,29/25) Hyperbolic Matrix(961,5550,-218,-1259) (-52/9,-23/4) -> (-97/22,-22/5) Hyperbolic Matrix(517,2960,142,813) (-23/4,-40/7) -> (40/11,51/14) Hyperbolic Matrix(519,2960,-428,-2441) (-40/7,-17/3) -> (-57/47,-40/33) Hyperbolic Matrix(223,1258,92,519) (-17/3,-28/5) -> (46/19,17/7) Hyperbolic Matrix(517,2886,-146,-815) (-28/5,-39/7) -> (-39/11,-46/13) Hyperbolic Matrix(147,814,80,443) (-39/7,-11/2) -> (11/6,35/19) Hyperbolic Matrix(149,814,-54,-295) (-11/2,-27/5) -> (-47/17,-11/4) Hyperbolic Matrix(371,1998,-96,-517) (-27/5,-43/8) -> (-31/8,-27/7) Hyperbolic Matrix(593,3182,276,1481) (-43/8,-59/11) -> (15/7,43/20) Hyperbolic Matrix(443,2368,-194,-1037) (-59/11,-16/3) -> (-16/7,-89/39) Hyperbolic Matrix(223,1184,42,223) (-16/3,-37/7) -> (37/7,16/3) Hyperbolic Matrix(295,1554,56,295) (-37/7,-21/4) -> (21/4,37/7) Hyperbolic Matrix(1331,6956,-1048,-5477) (-21/4,-47/9) -> (-47/37,-127/100) Hyperbolic Matrix(1035,5402,652,3403) (-47/9,-26/5) -> (100/63,27/17) Hyperbolic Matrix(443,2294,-286,-1481) (-26/5,-5/1) -> (-79/51,-48/31) Hyperbolic Matrix(445,2146,-276,-1331) (-5/1,-24/5) -> (-50/31,-79/49) Hyperbolic Matrix(295,1406,124,591) (-24/5,-19/4) -> (19/8,50/21) Hyperbolic Matrix(297,1406,94,445) (-19/4,-52/11) -> (22/7,19/6) Hyperbolic Matrix(815,3848,298,1407) (-52/11,-33/7) -> (41/15,52/19) Hyperbolic Matrix(1555,7326,1084,5107) (-33/7,-113/24) -> (109/76,33/23) Hyperbolic Matrix(1479,6956,-1196,-5625) (-80/17,-47/10) -> (-47/38,-68/55) Hyperbolic Matrix(741,3478,284,1333) (-47/10,-14/3) -> (60/23,47/18) Hyperbolic Matrix(223,1036,48,223) (-14/3,-37/8) -> (37/8,14/3) Hyperbolic Matrix(369,1702,80,369) (-37/8,-23/5) -> (23/5,37/8) Hyperbolic Matrix(371,1702,-274,-1257) (-23/5,-32/7) -> (-42/31,-23/17) Hyperbolic Matrix(1183,5402,648,2959) (-32/7,-73/16) -> (73/40,42/23) Hyperbolic Matrix(1185,5402,682,3109) (-73/16,-41/9) -> (33/19,73/42) Hyperbolic Matrix(667,3034,472,2147) (-41/9,-9/2) -> (65/46,41/29) Hyperbolic Matrix(149,666,-66,-295) (-9/2,-31/7) -> (-43/19,-9/4) Hyperbolic Matrix(887,3922,-268,-1185) (-31/7,-53/12) -> (-53/16,-43/13) Hyperbolic Matrix(2665,11766,-1106,-4883) (-53/12,-75/17) -> (-147/61,-53/22) Hyperbolic Matrix(1997,8806,520,2293) (-75/17,-97/22) -> (23/6,73/19) Hyperbolic Matrix(371,1628,152,667) (-22/5,-35/8) -> (39/16,22/9) Hyperbolic Matrix(2811,12284,-1592,-6957) (-35/8,-83/19) -> (-83/47,-113/64) Hyperbolic Matrix(593,2590,68,297) (-83/19,-48/11) -> (26/3,9/1) Hyperbolic Matrix(815,3552,-628,-2737) (-48/11,-13/3) -> (-61/47,-48/37) Hyperbolic Matrix(223,962,86,371) (-13/3,-30/7) -> (44/17,13/5) Hyperbolic Matrix(295,1258,208,887) (-30/7,-17/4) -> (17/12,44/31) Hyperbolic Matrix(1923,8140,734,3107) (-17/4,-55/13) -> (55/21,131/50) Hyperbolic Matrix(1331,5624,-1016,-4293) (-55/13,-38/9) -> (-38/29,-93/71) Hyperbolic Matrix(1035,4366,-316,-1333) (-38/9,-21/5) -> (-95/29,-36/11) Hyperbolic Matrix(1183,4958,-424,-1777) (-21/5,-46/11) -> (-120/43,-53/19) Hyperbolic Matrix(1259,5254,-514,-2145) (-46/11,-25/6) -> (-49/20,-120/49) Hyperbolic Matrix(519,2146,-304,-1257) (-25/6,-4/1) -> (-70/41,-99/58) Hyperbolic Matrix(667,2590,248,963) (-4/1,-31/8) -> (43/16,78/29) Hyperbolic Matrix(1923,7400,1192,4587) (-27/7,-50/13) -> (50/31,121/75) Hyperbolic Matrix(5623,21608,-2080,-7993) (-50/13,-73/19) -> (-73/27,-246/91) Hyperbolic Matrix(887,3404,154,591) (-73/19,-23/6) -> (23/4,75/13) Hyperbolic Matrix(445,1702,-348,-1331) (-23/6,-19/5) -> (-55/43,-23/18) Hyperbolic Matrix(665,2516,254,961) (-19/5,-34/9) -> (34/13,55/21) Hyperbolic Matrix(667,2516,-294,-1109) (-34/9,-15/4) -> (-59/26,-34/15) Hyperbolic Matrix(813,3034,-496,-1851) (-15/4,-41/11) -> (-41/25,-59/36) Hyperbolic Matrix(517,1924,298,1109) (-41/11,-26/7) -> (26/15,33/19) Hyperbolic Matrix(519,1924,140,519) (-26/7,-37/10) -> (37/10,26/7) Hyperbolic Matrix(221,814,60,221) (-37/10,-11/3) -> (11/3,37/10) Hyperbolic Matrix(1259,4588,-548,-1997) (-11/3,-51/14) -> (-23/10,-85/37) Hyperbolic Matrix(813,2960,142,517) (-51/14,-40/11) -> (40/7,23/4) Hyperbolic Matrix(2443,8880,-1038,-3773) (-40/11,-109/30) -> (-113/48,-40/17) Hyperbolic Matrix(4441,16132,1630,5921) (-109/30,-69/19) -> (79/29,109/40) Hyperbolic Matrix(591,2146,122,443) (-69/19,-29/8) -> (29/6,5/1) Hyperbolic Matrix(1553,5624,-552,-1999) (-29/8,-76/21) -> (-76/27,-45/16) Hyperbolic Matrix(1555,5624,-634,-2293) (-76/21,-47/13) -> (-27/11,-76/31) Hyperbolic Matrix(963,3478,-430,-1553) (-47/13,-65/18) -> (-9/4,-47/21) Hyperbolic Matrix(739,2664,-534,-1925) (-65/18,-18/5) -> (-18/13,-83/60) Hyperbolic Matrix(371,1332,-144,-517) (-18/5,-25/7) -> (-49/19,-18/7) Hyperbolic Matrix(1037,3700,-456,-1627) (-25/7,-57/16) -> (-91/40,-25/11) Hyperbolic Matrix(665,2368,-312,-1111) (-57/16,-32/9) -> (-32/15,-17/8) Hyperbolic Matrix(1479,5254,458,1627) (-32/9,-71/20) -> (71/22,42/13) Hyperbolic Matrix(4441,15762,-1626,-5771) (-71/20,-39/11) -> (-183/67,-71/26) Hyperbolic Matrix(1111,3922,-398,-1405) (-46/13,-7/2) -> (-67/24,-120/43) Hyperbolic Matrix(813,2812,-364,-1259) (-7/2,-38/11) -> (-38/17,-67/30) Hyperbolic Matrix(815,2812,322,1111) (-38/11,-69/20) -> (5/2,38/15) Hyperbolic Matrix(1331,4588,472,1627) (-69/20,-31/9) -> (31/11,79/28) Hyperbolic Matrix(667,2294,280,963) (-31/9,-24/7) -> (50/21,31/13) Hyperbolic Matrix(1037,3552,562,1925) (-24/7,-89/26) -> (59/32,24/13) Hyperbolic Matrix(4735,16206,1124,3847) (-89/26,-154/45) -> (80/19,59/14) Hyperbolic Matrix(5623,19240,-2336,-7993) (-154/45,-65/19) -> (-65/27,-142/59) Hyperbolic Matrix(887,3034,692,2367) (-65/19,-41/12) -> (41/32,9/7) Hyperbolic Matrix(889,3034,-390,-1331) (-41/12,-17/5) -> (-57/25,-41/18) Hyperbolic Matrix(371,1258,284,963) (-17/5,-44/13) -> (30/23,17/13) Hyperbolic Matrix(1553,5254,984,3329) (-44/13,-71/21) -> (71/45,30/19) Hyperbolic Matrix(3109,10508,-1182,-3995) (-71/21,-27/8) -> (-121/46,-71/27) Hyperbolic Matrix(593,1998,176,593) (-27/8,-37/11) -> (37/11,27/8) Hyperbolic Matrix(221,740,66,221) (-37/11,-10/3) -> (10/3,37/11) Hyperbolic Matrix(1183,3922,-536,-1777) (-10/3,-53/16) -> (-53/24,-64/29) Hyperbolic Matrix(3403,11248,940,3107) (-43/13,-76/23) -> (76/21,105/29) Hyperbolic Matrix(8511,28120,2576,8511) (-76/23,-185/56) -> (185/56,76/23) Hyperbolic Matrix(12209,40330,3696,12209) (-185/56,-109/33) -> (109/33,185/56) Hyperbolic Matrix(2219,7326,1748,5771) (-109/33,-33/10) -> (33/26,113/89) Hyperbolic Matrix(517,1702,202,665) (-33/10,-23/7) -> (23/9,41/16) Hyperbolic Matrix(519,1702,68,223) (-23/7,-59/18) -> (15/2,23/3) Hyperbolic Matrix(6955,22792,2032,6659) (-59/18,-154/47) -> (154/45,89/26) Hyperbolic Matrix(8289,27158,1762,5773) (-154/47,-95/29) -> (127/27,80/17) Hyperbolic Matrix(815,2664,-294,-961) (-36/11,-13/4) -> (-61/22,-36/13) Hyperbolic Matrix(297,962,46,149) (-13/4,-42/13) -> (32/5,13/2) Hyperbolic Matrix(1629,5254,-688,-2219) (-42/13,-29/9) -> (-45/19,-116/49) Hyperbolic Matrix(369,1184,-254,-815) (-29/9,-16/5) -> (-16/11,-45/31) Hyperbolic Matrix(371,1184,-162,-517) (-16/5,-19/6) -> (-55/24,-16/7) Hyperbolic Matrix(445,1406,94,297) (-19/6,-22/7) -> (52/11,19/4) Hyperbolic Matrix(519,1628,-212,-665) (-22/7,-3/1) -> (-71/29,-22/9) Hyperbolic Matrix(665,1924,-384,-1111) (-3/1,-23/8) -> (-97/56,-71/41) Hyperbolic Matrix(517,1480,284,813) (-23/8,-20/7) -> (20/11,51/28) Hyperbolic Matrix(519,1480,182,519) (-20/7,-37/13) -> (37/13,20/7) Hyperbolic Matrix(443,1258,156,443) (-37/13,-17/6) -> (17/6,37/13) Hyperbolic Matrix(2515,7104,576,1627) (-65/23,-48/17) -> (48/11,83/19) Hyperbolic Matrix(813,2294,-656,-1851) (-48/17,-31/11) -> (-31/25,-26/21) Hyperbolic Matrix(1997,5624,604,1701) (-31/11,-76/27) -> (76/23,43/13) Hyperbolic Matrix(2737,7696,-1132,-3183) (-45/16,-59/21) -> (-133/55,-29/12) Hyperbolic Matrix(1925,5402,-738,-2071) (-59/21,-14/5) -> (-60/23,-133/51) Hyperbolic Matrix(741,2072,-476,-1331) (-14/5,-67/24) -> (-81/52,-14/9) Hyperbolic Matrix(2071,5772,-850,-2369) (-53/19,-39/14) -> (-39/16,-95/39) Hyperbolic Matrix(3403,9472,-1436,-3997) (-39/14,-64/23) -> (-64/27,-109/46) Hyperbolic Matrix(1331,3700,-586,-1629) (-64/23,-25/9) -> (-25/11,-84/37) Hyperbolic Matrix(2959,8214,906,2515) (-25/9,-111/40) -> (111/34,49/15) Hyperbolic Matrix(5921,16428,1814,5033) (-111/40,-86/31) -> (62/19,111/34) Hyperbolic Matrix(2295,6364,-1414,-3921) (-86/31,-61/22) -> (-13/8,-86/53) Hyperbolic Matrix(1257,3478,-562,-1555) (-36/13,-47/17) -> (-47/21,-38/17) Hyperbolic Matrix(1405,3848,-892,-2443) (-11/4,-52/19) -> (-52/33,-63/40) Hyperbolic Matrix(1407,3848,298,815) (-52/19,-41/15) -> (33/7,52/11) Hyperbolic Matrix(1923,5254,758,2071) (-41/15,-112/41) -> (38/15,33/13) Hyperbolic Matrix(21755,59422,-15768,-43069) (-112/41,-183/67) -> (-109/79,-258/187) Hyperbolic Matrix(1925,5254,1356,3701) (-71/26,-30/11) -> (44/31,71/50) Hyperbolic Matrix(2443,6660,-1384,-3773) (-30/11,-109/40) -> (-113/64,-30/17) Hyperbolic Matrix(5921,16132,1630,4441) (-109/40,-79/29) -> (69/19,109/30) Hyperbolic Matrix(2663,7252,-1196,-3257) (-79/29,-49/18) -> (-49/22,-69/31) Hyperbolic Matrix(2665,7252,1632,4441) (-49/18,-68/25) -> (80/49,49/30) Hyperbolic Matrix(519,1406,-464,-1257) (-19/7,-65/24) -> (-9/8,-19/17) Hyperbolic Matrix(5329,14430,1968,5329) (-65/24,-111/41) -> (111/41,65/24) Hyperbolic Matrix(3773,10212,1394,3773) (-111/41,-46/17) -> (46/17,111/41) Hyperbolic Matrix(2517,6808,1040,2813) (-46/17,-73/27) -> (75/31,46/19) Hyperbolic Matrix(18943,51208,-14016,-37889) (-246/91,-173/64) -> (-173/128,-50/37) Hyperbolic Matrix(6215,16798,2628,7103) (-173/64,-100/37) -> (26/11,123/52) Hyperbolic Matrix(1999,5402,1616,4367) (-100/37,-27/10) -> (47/38,26/21) Hyperbolic Matrix(1481,3996,878,2369) (-27/10,-89/33) -> (59/35,27/16) Hyperbolic Matrix(3183,8584,-2332,-6289) (-89/33,-62/23) -> (-86/63,-15/11) Hyperbolic Matrix(1703,4588,742,1999) (-62/23,-35/13) -> (39/17,62/27) Hyperbolic Matrix(4291,11544,-2696,-7253) (-35/13,-78/29) -> (-78/49,-113/71) Hyperbolic Matrix(2367,6364,440,1183) (-78/29,-43/16) -> (43/8,70/13) Hyperbolic Matrix(1405,3774,-634,-1703) (-43/16,-8/3) -> (-82/37,-31/14) Hyperbolic Matrix(223,592,84,223) (-8/3,-37/14) -> (37/14,8/3) Hyperbolic Matrix(813,2146,308,813) (-37/14,-29/11) -> (29/11,37/14) Hyperbolic Matrix(815,2146,-646,-1701) (-29/11,-50/19) -> (-24/19,-29/23) Hyperbolic Matrix(2813,7400,2082,5477) (-50/19,-121/46) -> (27/20,50/37) Hyperbolic Matrix(3997,10508,1070,2813) (-71/27,-92/35) -> (56/15,71/19) Hyperbolic Matrix(3773,9916,2224,5845) (-92/35,-21/8) -> (95/56,56/33) Hyperbolic Matrix(2145,5624,-1214,-3183) (-21/8,-76/29) -> (-76/43,-53/30) Hyperbolic Matrix(593,1554,-282,-739) (-76/29,-55/21) -> (-19/9,-2/1) Hyperbolic Matrix(961,2516,254,665) (-55/21,-34/13) -> (34/9,19/5) Hyperbolic Matrix(1331,3478,566,1479) (-34/13,-81/31) -> (7/3,40/17) Hyperbolic Matrix(963,2516,142,371) (-81/31,-47/18) -> (27/4,7/1) Hyperbolic Matrix(1333,3478,284,741) (-47/18,-60/23) -> (14/3,47/10) Hyperbolic Matrix(5477,14282,1022,2665) (-133/51,-73/28) -> (75/14,59/11) Hyperbolic Matrix(739,1924,-512,-1333) (-73/28,-13/5) -> (-13/9,-75/52) Hyperbolic Matrix(371,962,86,223) (-13/5,-44/17) -> (30/7,13/3) Hyperbolic Matrix(4291,11100,-1774,-4589) (-44/17,-75/29) -> (-75/31,-104/43) Hyperbolic Matrix(1775,4588,-802,-2073) (-75/29,-31/12) -> (-31/14,-73/33) Hyperbolic Matrix(3181,8214,888,2293) (-31/12,-111/43) -> (111/31,43/12) Hyperbolic Matrix(6365,16428,1778,4589) (-111/43,-80/31) -> (68/19,111/31) Hyperbolic Matrix(2811,7252,1778,4587) (-80/31,-49/19) -> (49/31,68/43) Hyperbolic Matrix(1183,3034,-866,-2221) (-18/7,-41/16) -> (-41/30,-56/41) Hyperbolic Matrix(665,1702,202,517) (-41/16,-23/9) -> (23/7,33/10) Hyperbolic Matrix(813,2072,-494,-1259) (-23/9,-28/11) -> (-28/17,-51/31) Hyperbolic Matrix(815,2072,-378,-961) (-28/11,-33/13) -> (-41/19,-28/13) Hyperbolic Matrix(2071,5254,758,1923) (-33/13,-38/15) -> (112/41,41/15) Hyperbolic Matrix(1111,2812,322,815) (-38/15,-5/2) -> (69/20,38/11) Hyperbolic Matrix(149,370,60,149) (-5/2,-37/15) -> (37/15,5/2) Hyperbolic Matrix(961,2368,390,961) (-37/15,-32/13) -> (32/13,37/15) Hyperbolic Matrix(963,2368,512,1259) (-32/13,-59/24) -> (15/8,32/17) Hyperbolic Matrix(1627,3996,1024,2515) (-59/24,-27/11) -> (27/17,89/56) Hyperbolic Matrix(4589,11248,-2596,-6363) (-76/31,-49/20) -> (-99/56,-76/43) Hyperbolic Matrix(4291,10508,1994,4883) (-120/49,-71/29) -> (71/33,28/13) Hyperbolic Matrix(667,1628,152,371) (-22/9,-39/16) -> (35/8,22/5) Hyperbolic Matrix(4071,9916,2522,6143) (-95/39,-56/23) -> (92/57,21/13) Hyperbolic Matrix(8511,20720,3496,8511) (-56/23,-185/76) -> (185/76,56/23) Hyperbolic Matrix(19609,47730,8056,19609) (-185/76,-129/53) -> (129/53,185/76) Hyperbolic Matrix(9547,23236,5382,13099) (-129/53,-73/30) -> (149/84,55/31) Hyperbolic Matrix(1035,2516,304,739) (-73/30,-17/7) -> (17/5,75/22) Hyperbolic Matrix(519,1258,92,223) (-17/7,-46/19) -> (28/5,17/3) Hyperbolic Matrix(2813,6808,1040,2517) (-46/19,-75/31) -> (73/27,46/17) Hyperbolic Matrix(12729,30784,-8200,-19831) (-104/43,-133/55) -> (-163/105,-104/67) Hyperbolic Matrix(889,2146,-674,-1627) (-29/12,-70/29) -> (-4/3,-29/22) Hyperbolic Matrix(6439,15540,2668,6439) (-70/29,-111/46) -> (111/46,70/29) Hyperbolic Matrix(3773,9102,1564,3773) (-111/46,-41/17) -> (41/17,111/46) Hyperbolic Matrix(6141,14800,1934,4661) (-94/39,-147/61) -> (73/23,54/17) Hyperbolic Matrix(3257,7844,1844,4441) (-53/22,-65/27) -> (83/47,53/30) Hyperbolic Matrix(26935,64824,-19064,-45881) (-142/59,-77/32) -> (-373/264,-154/109) Hyperbolic Matrix(2739,6586,1016,2443) (-77/32,-12/5) -> (62/23,151/56) Hyperbolic Matrix(371,888,-216,-517) (-12/5,-31/13) -> (-43/25,-12/7) Hyperbolic Matrix(963,2294,280,667) (-31/13,-50/21) -> (24/7,31/9) Hyperbolic Matrix(591,1406,124,295) (-50/21,-19/8) -> (19/4,24/5) Hyperbolic Matrix(1185,2812,-748,-1775) (-19/8,-64/27) -> (-84/53,-19/12) Hyperbolic Matrix(1999,4736,344,815) (-109/46,-45/19) -> (29/5,35/6) Hyperbolic Matrix(4439,10508,1250,2959) (-116/49,-71/30) -> (71/20,32/9) Hyperbolic Matrix(813,1924,-532,-1259) (-71/30,-26/11) -> (-26/17,-3/2) Hyperbolic Matrix(815,1924,596,1407) (-26/11,-33/14) -> (41/30,26/19) Hyperbolic Matrix(2293,5402,1790,4217) (-33/14,-73/31) -> (73/57,41/32) Hyperbolic Matrix(8361,19684,-6004,-14135) (-73/31,-113/48) -> (-39/28,-149/107) Hyperbolic Matrix(1479,3478,566,1331) (-40/17,-7/3) -> (81/31,34/13) Hyperbolic Matrix(223,518,96,223) (-7/3,-37/16) -> (37/16,7/3) Hyperbolic Matrix(961,2220,416,961) (-37/16,-30/13) -> (30/13,37/16) Hyperbolic Matrix(5327,12284,-4108,-9473) (-30/13,-83/36) -> (-83/64,-118/91) Hyperbolic Matrix(3403,7844,1990,4587) (-83/36,-53/23) -> (53/31,65/38) Hyperbolic Matrix(2441,5624,-1510,-3479) (-53/23,-23/10) -> (-97/60,-21/13) Hyperbolic Matrix(7475,17168,2868,6587) (-147/64,-62/27) -> (86/33,73/28) Hyperbolic Matrix(1999,4588,742,1703) (-62/27,-39/17) -> (35/13,62/23) Hyperbolic Matrix(3033,6956,-1646,-3775) (-39/17,-94/41) -> (-94/51,-35/19) Hyperbolic Matrix(4293,9842,646,1481) (-94/41,-149/65) -> (73/11,20/3) Hyperbolic Matrix(10137,23236,5972,13689) (-149/65,-55/24) -> (129/76,73/43) Hyperbolic Matrix(4735,10804,1686,3847) (-89/39,-73/32) -> (73/26,59/21) Hyperbolic Matrix(2369,5402,974,2221) (-73/32,-57/25) -> (17/7,73/30) Hyperbolic Matrix(4291,9768,-2406,-5477) (-41/18,-66/29) -> (-66/37,-107/60) Hyperbolic Matrix(9323,21164,-6846,-15541) (-84/37,-143/63) -> (-143/105,-64/47) Hyperbolic Matrix(15095,34262,5542,12579) (-143/63,-59/26) -> (207/76,79/29) Hyperbolic Matrix(3625,8214,816,1849) (-34/15,-111/49) -> (111/25,40/9) Hyperbolic Matrix(7253,16428,1634,3701) (-111/49,-77/34) -> (71/16,111/25) Hyperbolic Matrix(2811,6364,-1504,-3405) (-77/34,-43/19) -> (-43/23,-71/38) Hyperbolic Matrix(961,2146,828,1849) (-67/30,-29/13) -> (29/25,7/6) Hyperbolic Matrix(1925,4292,-1128,-2515) (-29/13,-49/22) -> (-99/58,-29/17) Hyperbolic Matrix(3625,8066,964,2145) (-69/31,-89/40) -> (15/4,79/21) Hyperbolic Matrix(2961,6586,932,2073) (-89/40,-20/9) -> (54/17,89/28) Hyperbolic Matrix(667,1480,434,963) (-20/9,-51/23) -> (23/15,20/13) Hyperbolic Matrix(2443,5402,1908,4219) (-73/33,-42/19) -> (32/25,73/57) Hyperbolic Matrix(2813,6216,-1540,-3403) (-42/19,-53/24) -> (-95/52,-42/23) Hyperbolic Matrix(371,814,304,667) (-11/5,-35/16) -> (39/32,11/9) Hyperbolic Matrix(2369,5180,-1624,-3551) (-35/16,-59/27) -> (-89/61,-35/24) Hyperbolic Matrix(1627,3552,1152,2515) (-59/27,-24/11) -> (24/17,89/63) Hyperbolic Matrix(815,1776,374,815) (-24/11,-37/17) -> (37/17,24/11) Hyperbolic Matrix(443,962,204,443) (-37/17,-13/6) -> (13/6,37/17) Hyperbolic Matrix(2443,5254,-1892,-4069) (-28/13,-43/20) -> (-31/24,-102/79) Hyperbolic Matrix(1481,3182,276,593) (-43/20,-15/7) -> (59/11,43/8) Hyperbolic Matrix(1109,2368,658,1405) (-15/7,-32/15) -> (32/19,59/35) Hyperbolic Matrix(593,1258,140,297) (-17/8,-19/9) -> (55/13,17/4) Hyperbolic Matrix(815,1554,-504,-961) (-2/1,-17/9) -> (-131/81,-76/47) Hyperbolic Matrix(1257,2368,-904,-1703) (-17/9,-15/8) -> (-89/64,-57/41) Hyperbolic Matrix(1701,3182,1384,2589) (-15/8,-43/23) -> (43/35,59/48) Hyperbolic Matrix(5625,10508,3328,6217) (-71/38,-28/15) -> (120/71,71/42) Hyperbolic Matrix(517,962,-438,-815) (-28/15,-13/7) -> (-13/11,-46/39) Hyperbolic Matrix(519,962,280,519) (-13/7,-37/20) -> (37/20,13/7) Hyperbolic Matrix(961,1776,520,961) (-37/20,-24/13) -> (24/13,37/20) Hyperbolic Matrix(1925,3552,562,1037) (-24/13,-59/32) -> (89/26,24/7) Hyperbolic Matrix(14653,27010,5380,9917) (-59/32,-94/51) -> (128/47,207/76) Hyperbolic Matrix(443,814,80,147) (-35/19,-11/6) -> (11/2,39/7) Hyperbolic Matrix(445,814,-404,-739) (-11/6,-53/29) -> (-21/19,-11/10) Hyperbolic Matrix(11987,21904,5426,9915) (-53/29,-148/81) -> (148/67,95/43) Hyperbolic Matrix(11989,21904,5428,9917) (-148/81,-95/52) -> (53/24,148/67) Hyperbolic Matrix(2515,4588,-1542,-2813) (-42/23,-31/17) -> (-31/19,-106/65) Hyperbolic Matrix(1259,2294,-1096,-1997) (-31/17,-51/28) -> (-23/20,-31/27) Hyperbolic Matrix(813,1480,284,517) (-51/28,-20/11) -> (20/7,23/8) Hyperbolic Matrix(3995,7252,-2528,-4589) (-20/11,-49/27) -> (-49/31,-128/81) Hyperbolic Matrix(1183,2146,-898,-1629) (-49/27,-29/16) -> (-29/22,-25/19) Hyperbolic Matrix(1553,2812,-1104,-1999) (-29/16,-38/21) -> (-38/27,-45/32) Hyperbolic Matrix(1555,2812,-1268,-2293) (-38/21,-9/5) -> (-65/53,-38/31) Hyperbolic Matrix(371,666,-288,-517) (-9/5,-34/19) -> (-40/31,-9/7) Hyperbolic Matrix(1407,2516,-1034,-1849) (-34/19,-25/14) -> (-49/36,-34/25) Hyperbolic Matrix(1037,1850,-912,-1627) (-25/14,-66/37) -> (-8/7,-25/22) Hyperbolic Matrix(12283,21904,5394,9619) (-107/60,-148/83) -> (148/65,41/18) Hyperbolic Matrix(12285,21904,5396,9621) (-148/83,-41/23) -> (107/47,148/65) Hyperbolic Matrix(1703,3034,-1204,-2145) (-41/23,-16/9) -> (-58/41,-41/29) Hyperbolic Matrix(667,1184,-458,-813) (-16/9,-39/22) -> (-35/24,-16/11) Hyperbolic Matrix(2589,4588,1628,2885) (-39/22,-62/35) -> (62/39,35/22) Hyperbolic Matrix(2591,4588,-1880,-3329) (-62/35,-23/13) -> (-51/37,-62/45) Hyperbolic Matrix(7031,12432,2972,5255) (-23/13,-99/56) -> (123/52,97/41) Hyperbolic Matrix(4441,7844,1844,3257) (-53/30,-83/47) -> (65/27,53/22) Hyperbolic Matrix(1259,2220,714,1259) (-30/17,-37/21) -> (37/21,30/17) Hyperbolic Matrix(295,518,168,295) (-37/21,-7/4) -> (7/4,37/21) Hyperbolic Matrix(1999,3478,1234,2147) (-7/4,-40/23) -> (34/21,81/50) Hyperbolic Matrix(5107,8880,-3702,-6437) (-40/23,-73/42) -> (-149/108,-40/29) Hyperbolic Matrix(3109,5402,682,1185) (-73/42,-33/19) -> (41/9,73/16) Hyperbolic Matrix(1109,1924,298,517) (-33/19,-26/15) -> (26/7,41/11) Hyperbolic Matrix(9695,16798,6108,10583) (-26/15,-123/71) -> (173/109,100/63) Hyperbolic Matrix(7177,12432,3118,5401) (-123/71,-97/56) -> (23/10,99/43) Hyperbolic Matrix(3035,5254,-2094,-3625) (-71/41,-45/26) -> (-29/20,-71/49) Hyperbolic Matrix(5475,9472,-3508,-6069) (-45/26,-64/37) -> (-64/41,-103/66) Hyperbolic Matrix(813,1406,-728,-1259) (-64/37,-19/11) -> (-19/17,-10/9) Hyperbolic Matrix(815,1406,644,1111) (-19/11,-50/29) -> (24/19,19/15) Hyperbolic Matrix(1331,2294,944,1627) (-50/29,-31/18) -> (31/22,24/17) Hyperbolic Matrix(3181,5476,1332,2293) (-31/18,-74/43) -> (74/31,43/18) Hyperbolic Matrix(3183,5476,1334,2295) (-74/43,-43/25) -> (31/13,74/31) Hyperbolic Matrix(4367,7474,1168,1999) (-12/7,-77/45) -> (71/19,86/23) Hyperbolic Matrix(11247,19240,-7960,-13617) (-77/45,-65/38) -> (-65/46,-219/155) Hyperbolic Matrix(4587,7844,1990,3403) (-65/38,-53/31) -> (53/23,83/36) Hyperbolic Matrix(2295,3922,-1948,-3329) (-53/31,-41/24) -> (-33/28,-53/45) Hyperbolic Matrix(5329,9102,3120,5329) (-41/24,-111/65) -> (111/65,41/24) Hyperbolic Matrix(9101,15540,5330,9101) (-111/65,-70/41) -> (70/41,111/65) Hyperbolic Matrix(6511,11100,-3994,-6809) (-29/17,-75/44) -> (-75/46,-119/73) Hyperbolic Matrix(3995,6808,2518,4291) (-75/44,-46/27) -> (46/29,73/46) Hyperbolic Matrix(739,1258,608,1035) (-46/27,-17/10) -> (17/14,28/23) Hyperbolic Matrix(3181,5402,1786,3033) (-17/10,-73/43) -> (73/41,57/32) Hyperbolic Matrix(6365,10804,2006,3405) (-73/43,-129/76) -> (19/6,73/23) Hyperbolic Matrix(28121,47730,16568,28121) (-129/76,-185/109) -> (185/109,129/76) Hyperbolic Matrix(12209,20720,7194,12209) (-185/109,-56/33) -> (56/33,185/109) Hyperbolic Matrix(3403,5772,-2182,-3701) (-56/33,-39/23) -> (-39/25,-92/59) Hyperbolic Matrix(961,1628,742,1257) (-39/23,-22/13) -> (22/17,35/27) Hyperbolic Matrix(963,1628,-656,-1109) (-22/13,-49/29) -> (-25/17,-22/15) Hyperbolic Matrix(3331,5624,-2410,-4069) (-49/29,-27/16) -> (-47/34,-123/89) Hyperbolic Matrix(2369,3996,878,1481) (-27/16,-59/35) -> (89/33,27/10) Hyperbolic Matrix(2811,4736,790,1331) (-59/35,-32/19) -> (32/9,89/25) Hyperbolic Matrix(1407,2368,836,1407) (-32/19,-37/22) -> (37/22,32/19) Hyperbolic Matrix(221,370,132,221) (-37/22,-5/3) -> (5/3,37/22) Hyperbolic Matrix(1701,2812,1208,1997) (-5/3,-38/23) -> (38/27,69/49) Hyperbolic Matrix(3183,5254,2018,3331) (-38/23,-33/20) -> (41/26,112/71) Hyperbolic Matrix(1481,2442,-1256,-2071) (-33/20,-28/17) -> (-46/39,-33/28) Hyperbolic Matrix(3329,5476,1304,2145) (-51/31,-74/45) -> (74/29,23/9) Hyperbolic Matrix(3331,5476,1306,2147) (-74/45,-23/14) -> (51/20,74/29) Hyperbolic Matrix(1037,1702,722,1185) (-23/14,-41/25) -> (33/23,23/16) Hyperbolic Matrix(9619,15762,-6052,-9917) (-59/36,-77/47) -> (-151/95,-89/56) Hyperbolic Matrix(5105,8362,1942,3181) (-77/47,-18/11) -> (92/35,71/27) Hyperbolic Matrix(815,1332,-588,-961) (-18/11,-31/19) -> (-43/31,-18/13) Hyperbolic Matrix(6217,10138,1362,2221) (-106/65,-75/46) -> (73/16,32/7) Hyperbolic Matrix(8807,14356,-5674,-9249) (-119/73,-44/27) -> (-104/67,-45/29) Hyperbolic Matrix(591,962,454,739) (-44/27,-13/8) -> (13/10,30/23) Hyperbolic Matrix(10581,17168,5974,9693) (-86/53,-73/45) -> (147/83,62/35) Hyperbolic Matrix(3331,5402,-2144,-3477) (-73/45,-60/37) -> (-14/9,-73/47) Hyperbolic Matrix(2145,3478,1688,2737) (-60/37,-47/29) -> (47/37,14/11) Hyperbolic Matrix(1553,2516,1324,2145) (-47/29,-81/50) -> (7/6,27/23) Hyperbolic Matrix(2147,3478,1234,1999) (-81/50,-34/21) -> (40/23,7/4) Hyperbolic Matrix(1555,2516,1144,1851) (-34/21,-55/34) -> (19/14,34/25) Hyperbolic Matrix(5033,8140,3844,6217) (-55/34,-131/81) -> (17/13,55/42) Hyperbolic Matrix(13913,22496,-10068,-16279) (-76/47,-97/60) -> (-199/144,-76/55) Hyperbolic Matrix(4217,6808,1512,2441) (-21/13,-92/57) -> (92/33,53/19) Hyperbolic Matrix(5181,8362,2018,3257) (-92/57,-71/44) -> (77/30,18/7) Hyperbolic Matrix(6513,10508,-4586,-7399) (-71/44,-50/31) -> (-98/69,-71/50) Hyperbolic Matrix(2663,4292,734,1183) (-79/49,-29/18) -> (29/8,69/19) Hyperbolic Matrix(1333,2146,828,1333) (-29/18,-37/23) -> (37/23,29/18) Hyperbolic Matrix(369,592,230,369) (-37/23,-8/5) -> (8/5,37/23) Hyperbolic Matrix(371,592,-324,-517) (-8/5,-43/27) -> (-31/27,-8/7) Hyperbolic Matrix(1627,2590,1208,1923) (-43/27,-78/49) -> (4/3,31/23) Hyperbolic Matrix(13763,21904,5114,8139) (-113/71,-148/93) -> (148/55,35/13) Hyperbolic Matrix(13765,21904,5116,8141) (-148/93,-35/22) -> (113/42,148/55) Hyperbolic Matrix(2885,4588,1628,2589) (-35/22,-62/39) -> (62/35,39/22) Hyperbolic Matrix(4143,6586,2420,3847) (-62/39,-151/95) -> (77/45,12/7) Hyperbolic Matrix(2515,3996,1024,1627) (-89/56,-27/17) -> (27/11,59/24) Hyperbolic Matrix(3403,5402,652,1035) (-27/17,-100/63) -> (26/5,47/9) Hyperbolic Matrix(5921,9398,2052,3257) (-100/63,-173/109) -> (49/17,26/9) Hyperbolic Matrix(13615,21608,-10072,-15985) (-173/109,-73/46) -> (-73/54,-123/91) Hyperbolic Matrix(4291,6808,2518,3995) (-73/46,-46/29) -> (46/27,75/44) Hyperbolic Matrix(6439,10212,4060,6439) (-46/29,-111/70) -> (111/70,46/29) Hyperbolic Matrix(9101,14430,5740,9101) (-111/70,-65/41) -> (65/41,111/70) Hyperbolic Matrix(889,1406,-748,-1183) (-19/12,-49/31) -> (-25/21,-19/16) Hyperbolic Matrix(17093,27010,7820,12357) (-128/81,-207/131) -> (59/27,94/43) Hyperbolic Matrix(21683,34262,12130,19167) (-207/131,-79/50) -> (143/80,59/33) Hyperbolic Matrix(10211,16132,7400,11691) (-79/50,-109/69) -> (109/79,69/50) Hyperbolic Matrix(8807,13912,-6792,-10729) (-109/69,-30/19) -> (-118/91,-35/27) Hyperbolic Matrix(3329,5254,984,1553) (-30/19,-71/45) -> (71/21,44/13) Hyperbolic Matrix(9991,15762,-7176,-11321) (-71/45,-112/71) -> (-110/79,-71/51) Hyperbolic Matrix(3331,5254,2018,3183) (-112/71,-41/26) -> (33/20,38/23) Hyperbolic Matrix(2441,3848,1924,3033) (-41/26,-52/33) -> (52/41,33/26) Hyperbolic Matrix(3477,5476,1268,1997) (-63/40,-74/47) -> (74/27,11/4) Hyperbolic Matrix(3479,5476,1270,1999) (-74/47,-11/7) -> (63/23,74/27) Hyperbolic Matrix(519,814,-424,-665) (-11/7,-36/23) -> (-38/31,-11/9) Hyperbolic Matrix(1703,2664,-1182,-1849) (-36/23,-25/16) -> (-49/34,-36/25) Hyperbolic Matrix(3033,4736,-2228,-3479) (-25/16,-64/41) -> (-64/47,-49/36) Hyperbolic Matrix(3035,4736,2514,3923) (-103/66,-39/25) -> (35/29,29/24) Hyperbolic Matrix(4367,6808,1662,2591) (-92/59,-53/34) -> (21/8,92/35) Hyperbolic Matrix(6363,9916,-5224,-8141) (-53/34,-67/43) -> (-67/55,-95/78) Hyperbolic Matrix(14059,21904,5034,7843) (-67/43,-148/95) -> (148/53,81/29) Hyperbolic Matrix(14061,21904,5036,7845) (-148/95,-81/52) -> (67/24,148/53) Hyperbolic Matrix(6957,10804,3908,6069) (-73/47,-59/38) -> (89/50,73/41) Hyperbolic Matrix(31745,49284,11296,17537) (-59/38,-222/143) -> (222/79,163/58) Hyperbolic Matrix(31747,49284,11298,17539) (-222/143,-163/105) -> (59/21,222/79) Hyperbolic Matrix(3625,5624,-2624,-4071) (-45/29,-31/20) -> (-105/76,-29/21) Hyperbolic Matrix(2961,4588,2102,3257) (-31/20,-79/51) -> (69/49,31/22) Hyperbolic Matrix(813,1258,-718,-1111) (-48/31,-17/11) -> (-17/15,-26/23) Hyperbolic Matrix(815,1258,528,815) (-17/11,-37/24) -> (37/24,17/11) Hyperbolic Matrix(961,1480,624,961) (-37/24,-20/13) -> (20/13,37/24) Hyperbolic Matrix(963,1480,434,667) (-20/13,-23/15) -> (51/23,20/9) Hyperbolic Matrix(8213,12580,2270,3477) (-23/15,-49/32) -> (123/34,199/55) Hyperbolic Matrix(6141,9398,2272,3477) (-49/32,-26/17) -> (100/37,173/64) Hyperbolic Matrix(1257,1850,-956,-1407) (-3/2,-25/17) -> (-25/19,-71/54) Hyperbolic Matrix(961,1406,758,1109) (-22/15,-19/13) -> (19/15,52/41) Hyperbolic Matrix(7399,10804,3040,4439) (-19/13,-73/50) -> (73/30,129/53) Hyperbolic Matrix(10139,14800,5932,8659) (-73/50,-54/37) -> (94/55,147/86) Hyperbolic Matrix(4513,6586,2484,3625) (-54/37,-89/61) -> (89/49,20/11) Hyperbolic Matrix(3773,5476,1172,1701) (-45/31,-74/51) -> (74/23,29/9) Hyperbolic Matrix(3775,5476,1174,1703) (-74/51,-29/20) -> (45/14,74/23) Hyperbolic Matrix(3627,5254,2606,3775) (-71/49,-42/29) -> (32/23,71/51) Hyperbolic Matrix(665,962,562,813) (-42/29,-13/9) -> (13/11,32/27) Hyperbolic Matrix(667,962,52,75) (-75/52,-62/43) -> (12/1,1/0) Hyperbolic Matrix(11395,16428,7288,10507) (-62/43,-111/77) -> (111/71,86/55) Hyperbolic Matrix(5699,8214,3646,5255) (-111/77,-49/34) -> (25/16,111/71) Hyperbolic Matrix(3033,4366,-2314,-3331) (-36/25,-59/41) -> (-59/45,-38/29) Hyperbolic Matrix(1183,1702,1028,1479) (-59/41,-23/16) -> (23/20,15/13) Hyperbolic Matrix(1185,1702,722,1037) (-23/16,-33/23) -> (41/25,23/14) Hyperbolic Matrix(3921,5624,670,961) (-33/23,-109/76) -> (35/6,41/7) Hyperbolic Matrix(28121,40330,19608,28121) (-109/76,-185/129) -> (185/129,109/76) Hyperbolic Matrix(19609,28120,13674,19609) (-185/129,-76/53) -> (76/53,185/129) Hyperbolic Matrix(3923,5624,2530,3627) (-76/53,-43/30) -> (31/20,76/49) Hyperbolic Matrix(2737,3922,-2118,-3035) (-43/30,-10/7) -> (-84/65,-31/24) Hyperbolic Matrix(519,740,364,519) (-10/7,-37/26) -> (37/26,10/7) Hyperbolic Matrix(1405,1998,988,1405) (-37/26,-27/19) -> (27/19,37/26) Hyperbolic Matrix(2813,3996,730,1037) (-27/19,-98/69) -> (50/13,27/7) Hyperbolic Matrix(3701,5254,1356,1925) (-71/50,-44/31) -> (30/11,71/26) Hyperbolic Matrix(887,1258,208,295) (-44/31,-17/12) -> (17/4,30/7) Hyperbolic Matrix(1777,2516,1046,1481) (-17/12,-75/53) -> (73/43,17/10) Hyperbolic Matrix(3923,5550,-3190,-4513) (-75/53,-58/41) -> (-16/13,-75/61) Hyperbolic Matrix(2147,3034,472,667) (-41/29,-65/46) -> (9/2,41/9) Hyperbolic Matrix(248047,350464,72486,102415) (-219/155,-592/419) -> (592/173,373/109) Hyperbolic Matrix(248049,350464,72488,102417) (-592/419,-373/264) -> (219/64,592/173) Hyperbolic Matrix(16133,22792,11210,15837) (-154/109,-89/63) -> (59/41,154/107) Hyperbolic Matrix(2515,3552,1152,1627) (-89/63,-24/17) -> (24/11,59/27) Hyperbolic Matrix(1627,2294,944,1331) (-24/17,-31/22) -> (31/18,50/29) Hyperbolic Matrix(1629,2294,316,445) (-31/22,-69/49) -> (5/1,31/6) Hyperbolic Matrix(1997,2812,1208,1701) (-69/49,-38/27) -> (38/23,5/3) Hyperbolic Matrix(369,518,52,73) (-45/32,-7/5) -> (7/1,29/4) Hyperbolic Matrix(2071,2886,-1700,-2369) (-7/5,-39/28) -> (-39/32,-67/55) Hyperbolic Matrix(71263,99234,19610,27307) (-149/107,-259/186) -> (407/112,149/41) Hyperbolic Matrix(80141,111592,22054,30709) (-259/186,-110/79) -> (258/71,407/112) Hyperbolic Matrix(7549,10508,4360,6069) (-71/51,-32/23) -> (116/67,71/41) Hyperbolic Matrix(3405,4736,1384,1925) (-32/23,-89/64) -> (59/24,32/13) Hyperbolic Matrix(1331,1850,-1172,-1629) (-57/41,-25/18) -> (-25/22,-17/15) Hyperbolic Matrix(1333,1850,214,297) (-25/18,-68/49) -> (6/1,25/4) Hyperbolic Matrix(11839,16428,7252,10063) (-68/49,-111/80) -> (111/68,80/49) Hyperbolic Matrix(5921,8214,3628,5033) (-111/80,-43/31) -> (31/19,111/68) Hyperbolic Matrix(15835,21904,4386,6067) (-83/60,-148/107) -> (148/41,65/18) Hyperbolic Matrix(15837,21904,4388,6069) (-148/107,-65/47) -> (83/23,148/41) Hyperbolic Matrix(3479,4810,-2836,-3921) (-65/47,-47/34) -> (-27/22,-65/53) Hyperbolic Matrix(9103,12580,3160,4367) (-123/89,-199/144) -> (23/8,49/17) Hyperbolic Matrix(8141,11248,5678,7845) (-76/55,-105/76) -> (43/30,76/53) Hyperbolic Matrix(3109,4292,1180,1629) (-29/21,-69/50) -> (79/30,29/11) Hyperbolic Matrix(11691,16132,7400,10211) (-69/50,-109/79) -> (109/69,79/50) Hyperbolic Matrix(80883,111592,22796,31451) (-258/187,-407/295) -> (259/73,110/31) Hyperbolic Matrix(71927,99234,20274,27971) (-407/295,-149/108) -> (149/42,259/73) Hyperbolic Matrix(2147,2960,1772,2443) (-40/29,-51/37) -> (23/19,40/33) Hyperbolic Matrix(591,814,-538,-741) (-62/45,-11/8) -> (-11/10,-12/11) Hyperbolic Matrix(593,814,432,593) (-11/8,-37/27) -> (37/27,11/8) Hyperbolic Matrix(1405,1924,1026,1405) (-37/27,-26/19) -> (26/19,37/27) Hyperbolic Matrix(1407,1924,596,815) (-26/19,-41/30) -> (33/14,26/11) Hyperbolic Matrix(7695,10508,4768,6511) (-56/41,-71/52) -> (71/44,92/57) Hyperbolic Matrix(5475,7474,2276,3107) (-71/52,-86/63) -> (12/5,77/32) Hyperbolic Matrix(5921,8066,3260,4441) (-15/11,-79/58) -> (69/38,89/49) Hyperbolic Matrix(36185,49284,9616,13097) (-79/58,-222/163) -> (222/59,143/38) Hyperbolic Matrix(36187,49284,9618,13099) (-222/163,-143/105) -> (79/21,222/59) Hyperbolic Matrix(1851,2516,1144,1555) (-34/25,-19/14) -> (55/34,34/21) Hyperbolic Matrix(1037,1406,874,1185) (-19/14,-42/31) -> (32/27,19/16) Hyperbolic Matrix(6513,8806,5036,6809) (-23/17,-73/54) -> (75/58,97/75) Hyperbolic Matrix(64823,87616,16862,22791) (-123/91,-296/219) -> (296/77,173/45) Hyperbolic Matrix(64825,87616,16864,22793) (-296/219,-173/128) -> (123/32,296/77) Hyperbolic Matrix(2959,3996,876,1183) (-50/37,-27/20) -> (27/8,98/29) Hyperbolic Matrix(1481,1998,-1206,-1627) (-27/20,-4/3) -> (-70/57,-27/22) Hyperbolic Matrix(7993,10508,1802,2369) (-71/54,-46/35) -> (102/23,71/16) Hyperbolic Matrix(3773,4958,-3098,-4071) (-46/35,-21/16) -> (-95/78,-28/23) Hyperbolic Matrix(2369,3108,452,593) (-21/16,-80/61) -> (68/13,21/4) Hyperbolic Matrix(12359,16206,8748,11471) (-80/61,-59/45) -> (89/63,154/109) Hyperbolic Matrix(16723,21904,3954,5179) (-93/71,-148/113) -> (148/35,55/13) Hyperbolic Matrix(16725,21904,3956,5181) (-148/113,-55/42) -> (93/22,148/35) Hyperbolic Matrix(961,1258,508,665) (-55/42,-17/13) -> (17/9,19/10) Hyperbolic Matrix(963,1258,284,371) (-17/13,-30/23) -> (44/13,17/5) Hyperbolic Matrix(739,962,454,591) (-30/23,-13/10) -> (13/8,44/27) Hyperbolic Matrix(4217,5476,968,1257) (-13/10,-74/57) -> (74/17,61/14) Hyperbolic Matrix(4219,5476,970,1259) (-74/57,-61/47) -> (13/3,74/17) Hyperbolic Matrix(5477,7104,3538,4589) (-48/37,-83/64) -> (65/42,48/31) Hyperbolic Matrix(1257,1628,742,961) (-35/27,-22/17) -> (22/13,39/23) Hyperbolic Matrix(4291,5550,-3548,-4589) (-22/17,-75/58) -> (-75/62,-52/43) Hyperbolic Matrix(6067,7844,-5152,-6661) (-75/58,-53/41) -> (-53/45,-73/62) Hyperbolic Matrix(1775,2294,-1604,-2073) (-53/41,-84/65) -> (-10/9,-21/19) Hyperbolic Matrix(8139,10508,1948,2515) (-102/79,-71/55) -> (71/17,46/11) Hyperbolic Matrix(12727,16428,7108,9175) (-71/55,-111/86) -> (111/62,77/43) Hyperbolic Matrix(6365,8214,3556,4589) (-111/86,-40/31) -> (34/19,111/62) Hyperbolic Matrix(2367,3034,692,887) (-9/7,-41/32) -> (41/12,65/19) Hyperbolic Matrix(4217,5402,1790,2293) (-41/32,-73/57) -> (73/31,33/14) Hyperbolic Matrix(7917,10138,3062,3921) (-73/57,-32/25) -> (106/41,75/29) Hyperbolic Matrix(1851,2368,290,371) (-32/25,-55/43) -> (19/3,32/5) Hyperbolic Matrix(1333,1702,1044,1333) (-23/18,-37/29) -> (37/29,23/18) Hyperbolic Matrix(813,1036,638,813) (-37/29,-14/11) -> (14/11,37/29) Hyperbolic Matrix(2737,3478,1688,2145) (-14/11,-47/37) -> (47/29,60/37) Hyperbolic Matrix(21385,27158,14858,18869) (-127/100,-80/63) -> (154/107,95/66) Hyperbolic Matrix(2739,3478,-2272,-2885) (-80/63,-33/26) -> (-41/34,-6/5) Hyperbolic Matrix(3033,3848,1924,2441) (-33/26,-52/41) -> (52/33,41/26) Hyperbolic Matrix(1109,1406,758,961) (-52/41,-19/15) -> (19/13,22/15) Hyperbolic Matrix(1111,1406,644,815) (-19/15,-24/19) -> (50/29,19/11) Hyperbolic Matrix(1703,2146,1234,1555) (-29/23,-5/4) -> (69/50,29/21) Hyperbolic Matrix(1849,2294,536,665) (-5/4,-31/25) -> (31/9,69/20) Hyperbolic Matrix(4367,5402,1616,1999) (-26/21,-47/38) -> (27/10,100/37) Hyperbolic Matrix(2515,3108,598,739) (-68/55,-21/17) -> (21/5,80/19) Hyperbolic Matrix(1259,1554,1020,1259) (-21/17,-37/30) -> (37/30,21/17) Hyperbolic Matrix(961,1184,780,961) (-37/30,-16/13) -> (16/13,37/30) Hyperbolic Matrix(11617,14282,7162,8805) (-75/61,-59/48) -> (133/82,73/45) Hyperbolic Matrix(2589,3182,1384,1701) (-59/48,-43/35) -> (43/23,15/8) Hyperbolic Matrix(5181,6364,3254,3997) (-43/35,-70/57) -> (78/49,43/27) Hyperbolic Matrix(667,814,304,371) (-11/9,-39/32) -> (35/16,11/5) Hyperbolic Matrix(1035,1258,608,739) (-28/23,-17/14) -> (17/10,46/27) Hyperbolic Matrix(4513,5476,792,961) (-17/14,-74/61) -> (74/13,57/10) Hyperbolic Matrix(4515,5476,794,963) (-74/61,-57/47) -> (17/3,74/13) Hyperbolic Matrix(2443,2960,1772,2147) (-40/33,-23/19) -> (51/37,40/29) Hyperbolic Matrix(2813,3404,2080,2517) (-23/19,-75/62) -> (73/54,23/17) Hyperbolic Matrix(1775,2146,244,295) (-52/43,-29/24) -> (29/4,22/3) Hyperbolic Matrix(3921,4736,2266,2737) (-29/24,-35/29) -> (109/63,45/26) Hyperbolic Matrix(4663,5624,1412,1703) (-35/29,-41/34) -> (33/10,109/33) Hyperbolic Matrix(1553,1850,434,517) (-6/5,-25/21) -> (25/7,68/19) Hyperbolic Matrix(1997,2368,436,517) (-19/16,-32/27) -> (32/7,55/12) Hyperbolic Matrix(813,962,562,665) (-32/27,-13/11) -> (13/9,42/29) Hyperbolic Matrix(8361,9842,4714,5549) (-73/62,-20/17) -> (94/53,149/84) Hyperbolic Matrix(4661,5476,692,813) (-47/40,-74/63) -> (74/11,27/4) Hyperbolic Matrix(4663,5476,694,815) (-74/63,-27/23) -> (47/7,74/11) Hyperbolic Matrix(2145,2516,1324,1553) (-27/23,-7/6) -> (81/50,47/29) Hyperbolic Matrix(445,518,128,149) (-7/6,-29/25) -> (45/13,7/2) Hyperbolic Matrix(1851,2146,320,371) (-29/25,-22/19) -> (52/9,29/5) Hyperbolic Matrix(1407,1628,1216,1407) (-22/19,-37/32) -> (37/32,22/19) Hyperbolic Matrix(961,1110,832,961) (-37/32,-15/13) -> (15/13,37/32) Hyperbolic Matrix(1479,1702,1028,1183) (-15/13,-23/20) -> (23/16,59/41) Hyperbolic Matrix(2293,2590,1768,1997) (-26/23,-9/8) -> (83/64,48/37) Hyperbolic Matrix(887,962,272,295) (-12/11,-1/1) -> (75/23,62/19) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(1555,-1702,878,-961) (1/1,11/10) -> (85/48,147/83) Hyperbolic Matrix(739,-814,404,-445) (11/10,10/9) -> (64/35,11/6) Hyperbolic Matrix(1257,-1406,464,-519) (10/9,9/8) -> (65/24,84/31) Hyperbolic Matrix(1111,-1258,718,-813) (9/8,17/15) -> (17/11,65/42) Hyperbolic Matrix(1627,-1850,912,-1037) (17/15,8/7) -> (66/37,91/51) Hyperbolic Matrix(1997,-2294,1096,-1259) (8/7,23/20) -> (51/28,82/45) Hyperbolic Matrix(1259,-1480,188,-221) (27/23,20/17) -> (20/3,47/7) Hyperbolic Matrix(3329,-3922,1948,-2295) (20/17,33/28) -> (41/24,94/55) Hyperbolic Matrix(815,-962,438,-517) (33/28,13/11) -> (13/7,41/22) Hyperbolic Matrix(1183,-1406,748,-889) (19/16,6/5) -> (68/43,19/12) Hyperbolic Matrix(2885,-3478,2272,-2739) (6/5,35/29) -> (113/89,80/63) Hyperbolic Matrix(4589,-5550,3548,-4291) (52/43,23/19) -> (97/75,22/17) Hyperbolic Matrix(2441,-2960,428,-519) (40/33,17/14) -> (57/10,40/7) Hyperbolic Matrix(2369,-2886,1700,-2071) (28/23,39/32) -> (39/28,46/33) Hyperbolic Matrix(665,-814,424,-519) (11/9,27/22) -> (47/30,11/7) Hyperbolic Matrix(1627,-1998,1206,-1481) (27/22,43/35) -> (31/23,27/20) Hyperbolic Matrix(1925,-2368,1082,-1331) (59/48,16/13) -> (16/9,89/50) Hyperbolic Matrix(5625,-6956,1196,-1479) (21/17,47/38) -> (47/10,127/27) Hyperbolic Matrix(1851,-2294,656,-813) (26/21,5/4) -> (79/28,48/17) Hyperbolic Matrix(1701,-2146,646,-815) (5/4,24/19) -> (50/19,79/30) Hyperbolic Matrix(5477,-6956,1048,-1331) (80/63,47/37) -> (47/9,68/13) Hyperbolic Matrix(1331,-1702,348,-445) (23/18,32/25) -> (42/11,23/6) Hyperbolic Matrix(517,-666,288,-371) (9/7,31/24) -> (43/24,9/5) Hyperbolic Matrix(3035,-3922,2118,-2737) (31/24,53/41) -> (53/37,43/30) Hyperbolic Matrix(9101,-11766,5324,-6883) (53/41,75/58) -> (147/86,53/31) Hyperbolic Matrix(9473,-12284,4108,-5327) (35/27,83/64) -> (83/36,113/49) Hyperbolic Matrix(2737,-3552,628,-815) (48/37,13/10) -> (61/14,48/11) Hyperbolic Matrix(4293,-5624,1016,-1331) (55/42,38/29) -> (38/9,93/22) Hyperbolic Matrix(3331,-4366,2314,-3033) (38/29,21/16) -> (95/66,36/25) Hyperbolic Matrix(3775,-4958,2422,-3181) (21/16,46/35) -> (120/77,53/34) Hyperbolic Matrix(3995,-5254,2364,-3109) (46/35,25/19) -> (49/29,120/71) Hyperbolic Matrix(1627,-2146,674,-889) (25/19,4/3) -> (70/29,99/41) Hyperbolic Matrix(15985,-21608,10072,-13615) (50/37,73/54) -> (73/46,246/155) Hyperbolic Matrix(1257,-1702,274,-371) (23/17,19/14) -> (55/12,23/5) Hyperbolic Matrix(1849,-2516,1034,-1407) (34/25,15/11) -> (59/33,34/19) Hyperbolic Matrix(2221,-3034,866,-1183) (15/11,41/30) -> (41/16,59/23) Hyperbolic Matrix(3329,-4588,1880,-2591) (11/8,51/37) -> (23/13,85/48) Hyperbolic Matrix(6437,-8880,3702,-5107) (40/29,109/79) -> (113/65,40/23) Hyperbolic Matrix(4071,-5624,2624,-3625) (29/21,76/55) -> (76/49,45/29) Hyperbolic Matrix(4069,-5624,2410,-3331) (76/55,47/34) -> (27/16,76/45) Hyperbolic Matrix(2515,-3478,1392,-1925) (47/34,65/47) -> (9/5,47/26) Hyperbolic Matrix(1925,-2664,534,-739) (65/47,18/13) -> (18/5,83/23) Hyperbolic Matrix(961,-1332,588,-815) (18/13,25/18) -> (49/30,18/11) Hyperbolic Matrix(2663,-3700,1492,-2073) (25/18,57/41) -> (91/51,25/14) Hyperbolic Matrix(1703,-2368,904,-1257) (57/41,32/23) -> (32/17,17/9) Hyperbolic Matrix(11321,-15762,7176,-9991) (71/51,39/28) -> (183/116,71/45) Hyperbolic Matrix(2811,-3922,1804,-2517) (46/33,7/5) -> (67/43,120/77) Hyperbolic Matrix(1999,-2812,1104,-1553) (7/5,38/27) -> (38/21,67/37) Hyperbolic Matrix(13617,-19240,7960,-11247) (154/109,65/46) -> (65/38,142/83) Hyperbolic Matrix(2145,-3034,1204,-1703) (41/29,17/12) -> (57/32,41/23) Hyperbolic Matrix(7399,-10508,4586,-6513) (71/50,27/19) -> (121/75,71/44) Hyperbolic Matrix(2739,-3922,1498,-2145) (10/7,53/37) -> (53/29,64/35) Hyperbolic Matrix(1849,-2664,1182,-1703) (36/25,13/9) -> (61/39,36/23) Hyperbolic Matrix(3625,-5254,2094,-3035) (42/29,29/20) -> (45/26,116/67) Hyperbolic Matrix(815,-1184,254,-369) (29/20,16/11) -> (16/5,45/14) Hyperbolic Matrix(813,-1184,458,-667) (16/11,19/13) -> (55/31,16/9) Hyperbolic Matrix(1109,-1628,656,-963) (22/15,3/2) -> (71/42,22/13) Hyperbolic Matrix(1259,-1924,532,-813) (3/2,23/15) -> (97/41,71/30) Hyperbolic Matrix(1481,-2294,286,-443) (48/31,31/20) -> (31/6,26/5) Hyperbolic Matrix(4959,-7696,2908,-4513) (45/29,59/38) -> (133/78,29/17) Hyperbolic Matrix(3477,-5402,2144,-3331) (59/38,14/9) -> (60/37,133/82) Hyperbolic Matrix(1331,-2072,476,-741) (14/9,67/43) -> (81/29,14/5) Hyperbolic Matrix(3701,-5772,2182,-3403) (53/34,39/25) -> (39/23,95/56) Hyperbolic Matrix(6069,-9472,3508,-5475) (39/25,64/41) -> (64/37,109/63) Hyperbolic Matrix(2369,-3700,1326,-2071) (64/41,25/16) -> (25/14,84/47) Hyperbolic Matrix(4069,-6364,1562,-2443) (86/55,61/39) -> (13/5,86/33) Hyperbolic Matrix(2221,-3478,1228,-1923) (36/23,47/30) -> (47/26,38/21) Hyperbolic Matrix(2443,-3848,892,-1405) (11/7,52/33) -> (52/19,63/23) Hyperbolic Matrix(37667,-59422,10366,-16353) (112/71,183/116) -> (109/30,258/71) Hyperbolic Matrix(4217,-6660,1828,-2887) (30/19,109/69) -> (113/49,30/13) Hyperbolic Matrix(4589,-7252,2528,-3995) (79/50,49/31) -> (49/27,69/38) Hyperbolic Matrix(887,-1406,94,-149) (19/12,65/41) -> (9/1,19/2) Hyperbolic Matrix(32265,-51208,8392,-13319) (246/155,173/109) -> (173/45,50/13) Hyperbolic Matrix(5401,-8584,1444,-2295) (89/56,62/39) -> (86/23,15/4) Hyperbolic Matrix(7253,-11544,2696,-4291) (35/22,78/49) -> (78/29,113/42) Hyperbolic Matrix(2369,-3774,1300,-2071) (43/27,8/5) -> (82/45,31/17) Hyperbolic Matrix(1331,-2146,276,-445) (29/18,50/31) -> (24/5,29/6) Hyperbolic Matrix(3479,-5624,1510,-2441) (21/13,76/47) -> (76/33,53/23) Hyperbolic Matrix(961,-1554,504,-815) (76/47,55/34) -> (19/10,2/1) Hyperbolic Matrix(1185,-1924,364,-591) (73/45,13/8) -> (13/4,75/23) Hyperbolic Matrix(6809,-11100,3994,-6511) (44/27,75/46) -> (75/44,104/61) Hyperbolic Matrix(2813,-4588,1542,-2515) (75/46,31/19) -> (31/17,73/40) Hyperbolic Matrix(1851,-3034,496,-813) (18/11,41/25) -> (41/11,56/15) Hyperbolic Matrix(1259,-2072,494,-813) (23/14,28/17) -> (28/11,51/20) Hyperbolic Matrix(1257,-2072,674,-1111) (28/17,33/20) -> (41/22,28/15) Hyperbolic Matrix(6659,-11248,2892,-4885) (76/45,49/29) -> (99/43,76/33) Hyperbolic Matrix(18055,-30784,6424,-10953) (104/61,133/78) -> (163/58,104/37) Hyperbolic Matrix(1257,-2146,304,-519) (29/17,70/41) -> (4/1,29/7) Hyperbolic Matrix(37889,-64824,11072,-18943) (142/83,77/45) -> (373/109,154/45) Hyperbolic Matrix(517,-888,216,-371) (12/7,31/18) -> (43/18,12/5) Hyperbolic Matrix(1627,-2812,600,-1037) (19/11,64/37) -> (84/31,19/7) Hyperbolic Matrix(1111,-1924,384,-665) (71/41,26/15) -> (26/9,3/1) Hyperbolic Matrix(11323,-19684,3192,-5549) (73/42,113/65) -> (39/11,149/42) Hyperbolic Matrix(6957,-12284,1592,-2811) (30/17,83/47) -> (83/19,118/27) Hyperbolic Matrix(3183,-5624,1214,-2145) (53/30,23/13) -> (97/37,21/8) Hyperbolic Matrix(3923,-6956,1794,-3181) (39/22,94/53) -> (94/43,35/16) Hyperbolic Matrix(5477,-9768,2406,-4291) (41/23,66/37) -> (66/29,107/47) Hyperbolic Matrix(11841,-21164,3146,-5623) (84/47,143/80) -> (143/38,64/17) Hyperbolic Matrix(3553,-6364,1652,-2959) (77/43,43/24) -> (43/20,71/33) Hyperbolic Matrix(2367,-4292,980,-1777) (29/16,49/27) -> (99/41,29/12) Hyperbolic Matrix(3403,-6216,1540,-2813) (42/23,53/29) -> (95/43,42/19) Hyperbolic Matrix(2811,-5180,884,-1629) (35/19,59/32) -> (89/28,35/11) Hyperbolic Matrix(2811,-5254,634,-1185) (28/15,43/23) -> (31/7,102/23) Hyperbolic Matrix(739,-1554,282,-593) (2/1,17/8) -> (131/50,76/29) Hyperbolic Matrix(1111,-2368,312,-665) (17/8,15/7) -> (89/25,57/16) Hyperbolic Matrix(445,-962,68,-147) (28/13,13/6) -> (13/2,46/7) Hyperbolic Matrix(369,-814,34,-75) (11/5,53/24) -> (21/2,11/1) Hyperbolic Matrix(2073,-4588,802,-1775) (42/19,31/14) -> (31/12,106/41) Hyperbolic Matrix(1035,-2294,134,-297) (31/14,51/23) -> (23/3,31/4) Hyperbolic Matrix(3257,-7252,1196,-2663) (20/9,49/22) -> (49/18,128/47) Hyperbolic Matrix(963,-2146,232,-517) (49/22,29/13) -> (29/7,25/6) Hyperbolic Matrix(1259,-2812,364,-813) (29/13,38/17) -> (38/11,45/13) Hyperbolic Matrix(1257,-2812,232,-519) (38/17,9/4) -> (65/12,38/7) Hyperbolic Matrix(295,-666,66,-149) (9/4,34/15) -> (40/9,9/2) Hyperbolic Matrix(1109,-2516,294,-667) (34/15,25/11) -> (49/13,34/9) Hyperbolic Matrix(813,-1850,98,-223) (25/11,66/29) -> (8/1,25/3) Hyperbolic Matrix(1331,-3034,390,-889) (41/18,16/7) -> (58/17,41/12) Hyperbolic Matrix(517,-1184,162,-371) (16/7,39/17) -> (35/11,16/5) Hyperbolic Matrix(1997,-4588,548,-1259) (62/27,23/10) -> (51/14,62/17) Hyperbolic Matrix(3773,-8880,1038,-2443) (40/17,73/31) -> (149/41,40/11) Hyperbolic Matrix(2219,-5254,688,-1629) (71/30,45/19) -> (29/9,71/22) Hyperbolic Matrix(3997,-9472,1436,-3403) (45/19,64/27) -> (64/23,103/37) Hyperbolic Matrix(593,-1406,62,-147) (64/27,19/8) -> (19/2,10/1) Hyperbolic Matrix(7993,-19240,2336,-5623) (77/32,65/27) -> (65/19,219/64) Hyperbolic Matrix(1627,-3922,246,-593) (53/22,41/17) -> (33/5,53/8) Hyperbolic Matrix(4589,-11100,1774,-4291) (29/12,75/31) -> (75/29,119/46) Hyperbolic Matrix(2369,-5772,850,-2071) (56/23,39/16) -> (39/14,92/33) Hyperbolic Matrix(665,-1628,212,-519) (22/9,49/20) -> (25/8,22/7) Hyperbolic Matrix(2293,-5624,634,-1555) (49/20,27/11) -> (47/13,123/34) Hyperbolic Matrix(961,-2442,146,-371) (33/13,28/11) -> (46/7,33/5) Hyperbolic Matrix(6143,-15762,2278,-5845) (59/23,77/30) -> (151/56,89/33) Hyperbolic Matrix(517,-1332,144,-371) (18/7,31/12) -> (43/12,18/5) Hyperbolic Matrix(5549,-14356,1974,-5107) (119/46,44/17) -> (104/37,45/16) Hyperbolic Matrix(2071,-5402,738,-1925) (73/28,60/23) -> (14/5,73/26) Hyperbolic Matrix(8583,-22496,2372,-6217) (76/29,97/37) -> (199/55,76/21) Hyperbolic Matrix(3995,-10508,1182,-3109) (71/27,50/19) -> (98/29,71/21) Hyperbolic Matrix(221,-592,28,-75) (8/3,43/16) -> (31/4,8/1) Hyperbolic Matrix(7993,-21608,2080,-5623) (173/64,73/27) -> (73/19,123/32) Hyperbolic Matrix(517,-1406,82,-223) (19/7,49/18) -> (25/4,19/3) Hyperbolic Matrix(5105,-13912,1168,-3183) (109/40,30/11) -> (118/27,35/8) Hyperbolic Matrix(5771,-15762,1626,-4441) (71/26,112/41) -> (110/31,71/20) Hyperbolic Matrix(295,-814,54,-149) (11/4,36/13) -> (38/7,11/2) Hyperbolic Matrix(961,-2664,294,-815) (36/13,25/9) -> (49/15,36/11) Hyperbolic Matrix(1703,-4736,452,-1257) (25/9,64/23) -> (64/17,49/13) Hyperbolic Matrix(3553,-9916,636,-1775) (53/19,67/24) -> (67/12,95/17) Hyperbolic Matrix(1999,-5624,552,-1553) (45/16,31/11) -> (105/29,29/8) Hyperbolic Matrix(445,-1258,52,-147) (48/17,17/6) -> (17/2,26/3) Hyperbolic Matrix(593,-1850,142,-443) (3/1,25/8) -> (25/6,71/17) Hyperbolic Matrix(1333,-4366,316,-1035) (36/11,59/18) -> (59/14,38/9) Hyperbolic Matrix(1185,-3922,268,-887) (43/13,10/3) -> (84/19,31/7) Hyperbolic Matrix(1627,-5550,304,-1037) (75/22,58/17) -> (16/3,75/14) Hyperbolic Matrix(815,-2886,146,-517) (7/2,39/11) -> (39/7,67/12) Hyperbolic Matrix(519,-1850,62,-221) (57/16,25/7) -> (25/3,17/2) Hyperbolic Matrix(1331,-4810,246,-889) (65/18,47/13) -> (27/5,65/12) Hyperbolic Matrix(223,-814,20,-73) (62/17,11/3) -> (11/1,12/1) Hyperbolic Matrix(517,-1998,96,-371) (27/7,4/1) -> (70/13,27/5) Hyperbolic Matrix(1185,-4958,212,-887) (46/11,21/5) -> (95/17,28/5) Hyperbolic Matrix(1259,-5550,218,-961) (22/5,75/17) -> (75/13,52/9) Hyperbolic Matrix(1777,-7844,268,-1183) (75/17,53/12) -> (53/8,73/11) Hyperbolic Matrix(519,-2294,50,-221) (53/12,84/19) -> (10/1,21/2) Hyperbolic Matrix(739,-3478,126,-593) (80/17,33/7) -> (41/7,6/1) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(147,1702,-64,-741) -> Matrix(19,6,-320,-101) Matrix(75,814,-34,-369) -> Matrix(7,2,-102,-29) Matrix(149,1406,-94,-887) -> Matrix(39,10,-862,-221) Matrix(147,1258,-52,-445) -> Matrix(43,10,-572,-133) Matrix(223,1850,-98,-813) -> Matrix(9,2,-122,-27) Matrix(297,2294,-134,-1035) -> Matrix(9,2,-158,-35) Matrix(223,1702,68,519) -> Matrix(67,14,780,163) Matrix(149,1110,20,149) -> Matrix(109,22,540,109) Matrix(221,1628,30,221) -> Matrix(161,32,810,161) Matrix(295,2146,244,1775) -> Matrix(31,6,904,175) Matrix(297,2146,164,1185) -> Matrix(31,6,656,127) Matrix(371,2516,142,963) -> Matrix(43,8,618,115) Matrix(221,1480,-188,-1259) -> Matrix(89,16,-2620,-471) Matrix(593,3922,-246,-1627) -> Matrix(35,6,-566,-97) Matrix(147,962,-68,-445) -> Matrix(11,2,-204,-37) Matrix(149,962,46,297) -> Matrix(11,2,126,23) Matrix(221,1406,58,369) -> Matrix(57,10,530,93) Matrix(223,1406,-82,-517) -> Matrix(35,6,-426,-73) Matrix(593,3478,-126,-739) -> Matrix(37,6,-290,-47) Matrix(813,4736,292,1701) -> Matrix(1,0,20,1) Matrix(371,2146,320,1851) -> Matrix(35,6,1044,179) Matrix(961,5550,-218,-1259) -> Matrix(37,6,-290,-47) Matrix(517,2960,142,813) -> Matrix(77,12,802,125) Matrix(519,2960,-428,-2441) -> Matrix(155,24,-4424,-685) Matrix(223,1258,92,519) -> Matrix(13,2,188,29) Matrix(517,2886,-146,-815) -> Matrix(13,2,-150,-23) Matrix(147,814,80,443) -> Matrix(13,2,240,37) Matrix(149,814,-54,-295) -> Matrix(13,2,-202,-31) Matrix(371,1998,-96,-517) -> Matrix(41,6,-376,-55) Matrix(593,3182,276,1481) -> Matrix(41,6,772,113) Matrix(443,2368,-194,-1037) -> Matrix(55,8,-942,-137) Matrix(223,1184,42,223) -> Matrix(139,20,966,139) Matrix(295,1554,56,295) -> Matrix(183,26,1288,183) Matrix(1331,6956,-1048,-5477) -> Matrix(29,4,-776,-107) Matrix(1035,5402,652,3403) -> Matrix(157,22,3404,477) Matrix(443,2294,-286,-1481) -> Matrix(101,14,-2186,-303) Matrix(445,2146,-276,-1331) -> Matrix(43,6,-896,-125) Matrix(295,1406,124,591) -> Matrix(15,2,172,23) Matrix(297,1406,94,445) -> Matrix(77,10,870,113) Matrix(815,3848,298,1407) -> Matrix(31,4,302,39) Matrix(1555,7326,1084,5107) -> Matrix(47,6,1120,143) Matrix(1479,6956,-1196,-5625) -> Matrix(33,4,-916,-111) Matrix(741,3478,284,1333) -> Matrix(109,14,1596,205) Matrix(223,1036,48,223) -> Matrix(127,16,1008,127) Matrix(369,1702,80,369) -> Matrix(209,26,1680,209) Matrix(371,1702,-274,-1257) -> Matrix(81,10,-2098,-259) Matrix(1183,5402,648,2959) -> Matrix(49,6,792,97) Matrix(1185,5402,682,3109) -> Matrix(115,14,2226,271) Matrix(667,3034,472,2147) -> Matrix(49,6,1184,145) Matrix(149,666,-66,-295) -> Matrix(17,2,-298,-35) Matrix(887,3922,-268,-1185) -> Matrix(17,2,-196,-23) Matrix(2665,11766,-1106,-4883) -> Matrix(11,2,-182,-33) Matrix(1997,8806,520,2293) -> Matrix(15,2,112,15) Matrix(371,1628,152,667) -> Matrix(1,0,24,1) Matrix(2811,12284,-1592,-6957) -> Matrix(67,8,-1248,-149) Matrix(593,2590,68,297) -> Matrix(49,6,204,25) Matrix(815,3552,-628,-2737) -> Matrix(67,8,-1784,-213) Matrix(223,962,86,371) -> Matrix(17,2,246,29) Matrix(295,1258,208,887) -> Matrix(49,6,1184,145) Matrix(1923,8140,734,3107) -> Matrix(169,20,2442,289) Matrix(1331,5624,-1016,-4293) -> Matrix(341,40,-9028,-1059) Matrix(1035,4366,-316,-1333) -> Matrix(223,26,-2616,-305) Matrix(1183,4958,-424,-1777) -> Matrix(87,10,-1192,-137) Matrix(1259,5254,-514,-2145) -> Matrix(87,10,-1366,-157) Matrix(519,2146,-304,-1257) -> Matrix(89,10,-1700,-191) Matrix(667,2590,248,963) -> Matrix(19,2,256,27) Matrix(1923,7400,1192,4587) -> Matrix(43,4,892,83) Matrix(5623,21608,-2080,-7993) -> Matrix(19,4,-252,-53) Matrix(887,3404,154,591) -> Matrix(33,4,206,25) Matrix(445,1702,-348,-1331) -> Matrix(91,10,-2448,-269) Matrix(665,2516,254,961) -> Matrix(77,8,1126,117) Matrix(667,2516,-294,-1109) -> Matrix(39,4,-634,-65) Matrix(813,3034,-496,-1851) -> Matrix(59,6,-1072,-109) Matrix(517,1924,298,1109) -> Matrix(79,8,1570,159) Matrix(519,1924,140,519) -> Matrix(239,24,2380,239) Matrix(221,814,60,221) -> Matrix(101,10,1020,101) Matrix(1259,4588,-548,-1997) -> Matrix(83,8,-1380,-133) Matrix(813,2960,142,517) -> Matrix(125,12,802,77) Matrix(2443,8880,-1038,-3773) -> Matrix(1,0,-6,1) Matrix(4441,16132,1630,5921) -> Matrix(41,4,502,49) Matrix(591,2146,122,443) -> Matrix(21,2,178,17) Matrix(1553,5624,-552,-1999) -> Matrix(41,4,-564,-55) Matrix(1555,5624,-634,-2293) -> Matrix(41,4,-646,-63) Matrix(963,3478,-430,-1553) -> Matrix(21,2,-158,-15) Matrix(739,2664,-534,-1925) -> Matrix(169,16,-4130,-391) Matrix(371,1332,-144,-517) -> Matrix(43,4,-656,-61) Matrix(1037,3700,-456,-1627) -> Matrix(1,0,-4,1) Matrix(665,2368,-312,-1111) -> Matrix(1,0,-8,1) Matrix(1479,5254,458,1627) -> Matrix(21,2,262,25) Matrix(4441,15762,-1626,-5771) -> Matrix(65,6,-726,-67) Matrix(1111,3922,-398,-1405) -> Matrix(25,2,-338,-27) Matrix(813,2812,-364,-1259) -> Matrix(41,4,-564,-55) Matrix(815,2812,322,1111) -> Matrix(83,8,1110,107) Matrix(1331,4588,472,1627) -> Matrix(167,16,2244,215) Matrix(667,2294,280,963) -> Matrix(21,2,220,21) Matrix(1037,3552,562,1925) -> Matrix(43,4,806,75) Matrix(4735,16206,1124,3847) -> Matrix(17,2,144,17) Matrix(5623,19240,-2336,-7993) -> Matrix(85,8,-1392,-131) Matrix(887,3034,692,2367) -> Matrix(65,6,1744,161) Matrix(889,3034,-390,-1331) -> Matrix(21,2,-410,-39) Matrix(371,1258,284,963) -> Matrix(65,6,1744,161) Matrix(1553,5254,984,3329) -> Matrix(65,6,1484,137) Matrix(3109,10508,-1182,-3995) -> Matrix(217,20,-3114,-287) Matrix(593,1998,176,593) -> Matrix(241,22,2640,241) Matrix(221,740,66,221) -> Matrix(89,8,990,89) Matrix(1183,3922,-536,-1777) -> Matrix(23,2,-288,-25) Matrix(3403,11248,940,3107) -> Matrix(91,8,944,83) Matrix(8511,28120,2576,8511) -> Matrix(47,4,552,47) Matrix(12209,40330,3696,12209) -> Matrix(23,2,264,23) Matrix(2219,7326,1748,5771) -> Matrix(67,6,1820,163) Matrix(517,1702,202,665) -> Matrix(23,2,402,35) Matrix(519,1702,68,223) -> Matrix(163,14,780,67) Matrix(6955,22792,2032,6659) -> Matrix(47,4,552,47) Matrix(8289,27158,1762,5773) -> Matrix(445,38,3478,297) Matrix(815,2664,-294,-961) -> Matrix(95,8,-1342,-113) Matrix(297,962,46,149) -> Matrix(23,2,126,11) Matrix(1629,5254,-688,-2219) -> Matrix(27,2,-392,-29) Matrix(369,1184,-254,-815) -> Matrix(1,0,-14,1) Matrix(371,1184,-162,-517) -> Matrix(1,0,-6,1) Matrix(445,1406,94,297) -> Matrix(113,10,870,77) Matrix(519,1628,-212,-665) -> Matrix(1,0,-4,1) Matrix(665,1924,-384,-1111) -> Matrix(1,0,-8,1) Matrix(517,1480,284,813) -> Matrix(51,4,956,75) Matrix(519,1480,182,519) -> Matrix(155,12,2002,155) Matrix(443,1258,156,443) -> Matrix(131,10,1716,131) Matrix(2515,7104,576,1627) -> Matrix(107,8,896,67) Matrix(813,2294,-656,-1851) -> Matrix(187,14,-5196,-389) Matrix(1997,5624,604,1701) -> Matrix(53,4,596,45) Matrix(2737,7696,-1132,-3183) -> Matrix(107,8,-1672,-125) Matrix(1925,5402,-738,-2071) -> Matrix(137,10,-2014,-147) Matrix(741,2072,-476,-1331) -> Matrix(1,0,-8,1) Matrix(2071,5772,-850,-2369) -> Matrix(1,0,-2,1) Matrix(3403,9472,-1436,-3997) -> Matrix(55,4,-784,-57) Matrix(1331,3700,-586,-1629) -> Matrix(55,4,-894,-65) Matrix(2959,8214,906,2515) -> Matrix(307,22,3670,263) Matrix(5921,16428,1814,5033) -> Matrix(561,40,6746,481) Matrix(2295,6364,-1414,-3921) -> Matrix(113,8,-2246,-159) Matrix(1257,3478,-562,-1555) -> Matrix(29,2,-334,-23) Matrix(1405,3848,-892,-2443) -> Matrix(1,0,-20,1) Matrix(1407,3848,298,815) -> Matrix(39,4,302,31) Matrix(1923,5254,758,2071) -> Matrix(21,2,262,25) Matrix(21755,59422,-15768,-43069) -> Matrix(155,14,-3864,-349) Matrix(1925,5254,1356,3701) -> Matrix(73,6,1764,145) Matrix(2443,6660,-1384,-3773) -> Matrix(45,4,-844,-75) Matrix(5921,16132,1630,4441) -> Matrix(49,4,502,41) Matrix(2663,7252,-1196,-3257) -> Matrix(1,0,-4,1) Matrix(2665,7252,1632,4441) -> Matrix(95,8,1888,159) Matrix(519,1406,-464,-1257) -> Matrix(129,10,-4012,-311) Matrix(5329,14430,1968,5329) -> Matrix(441,34,5720,441) Matrix(3773,10212,1394,3773) -> Matrix(313,24,4082,313) Matrix(2517,6808,1040,2813) -> Matrix(105,8,1588,121) Matrix(18943,51208,-14016,-37889) -> Matrix(53,4,-888,-67) Matrix(6215,16798,2628,7103) -> Matrix(239,18,3492,263) Matrix(1999,5402,1616,4367) -> Matrix(293,22,8164,613) Matrix(1481,3996,878,2369) -> Matrix(55,4,1086,79) Matrix(3183,8584,-2332,-6289) -> Matrix(51,4,-1288,-101) Matrix(1703,4588,742,1999) -> Matrix(1,0,30,1) Matrix(4291,11544,-2696,-7253) -> Matrix(1,0,-8,1) Matrix(2367,6364,440,1183) -> Matrix(51,4,344,27) Matrix(1405,3774,-634,-1703) -> Matrix(27,2,-446,-33) Matrix(223,592,84,223) -> Matrix(55,4,756,55) Matrix(813,2146,308,813) -> Matrix(197,14,2772,197) Matrix(815,2146,-646,-1701) -> Matrix(85,6,-2366,-167) Matrix(2813,7400,2082,5477) -> Matrix(57,4,1382,97) Matrix(3997,10508,1070,2813) -> Matrix(457,32,4470,313) Matrix(3773,9916,2224,5845) -> Matrix(115,8,2228,155) Matrix(2145,5624,-1214,-3183) -> Matrix(115,8,-2142,-149) Matrix(593,1554,-282,-739) -> Matrix(29,2,-450,-31) Matrix(961,2516,254,665) -> Matrix(117,8,1126,77) Matrix(1331,3478,566,1479) -> Matrix(29,2,478,33) Matrix(963,2516,142,371) -> Matrix(115,8,618,43) Matrix(1333,3478,284,741) -> Matrix(205,14,1596,109) Matrix(5477,14282,1022,2665) -> Matrix(857,58,5866,397) Matrix(739,1924,-512,-1333) -> Matrix(1,0,-8,1) Matrix(371,962,86,223) -> Matrix(29,2,246,17) Matrix(4291,11100,-1774,-4589) -> Matrix(175,12,-2698,-185) Matrix(1775,4588,-802,-2073) -> Matrix(59,4,-1018,-69) Matrix(3181,8214,888,2293) -> Matrix(269,18,2944,197) Matrix(6365,16428,1778,4589) -> Matrix(481,32,5306,353) Matrix(2811,7252,1778,4587) -> Matrix(121,8,2798,185) Matrix(1183,3034,-866,-2221) -> Matrix(101,6,-2542,-151) Matrix(665,1702,202,517) -> Matrix(35,2,402,23) Matrix(813,2072,-494,-1259) -> Matrix(1,0,-14,1) Matrix(815,2072,-378,-961) -> Matrix(1,0,-6,1) Matrix(2071,5254,758,1923) -> Matrix(25,2,262,21) Matrix(1111,2812,322,815) -> Matrix(107,8,1110,83) Matrix(149,370,60,149) -> Matrix(29,2,420,29) Matrix(961,2368,390,961) -> Matrix(181,12,2730,181) Matrix(963,2368,512,1259) -> Matrix(61,4,1052,69) Matrix(1627,3996,1024,2515) -> Matrix(61,4,1296,85) Matrix(4589,11248,-2596,-6363) -> Matrix(61,4,-1144,-75) Matrix(4291,10508,1994,4883) -> Matrix(63,4,1118,71) Matrix(667,1628,152,371) -> Matrix(1,0,24,1) Matrix(4071,9916,2522,6143) -> Matrix(125,8,2578,165) Matrix(8511,20720,3496,8511) -> Matrix(319,20,5088,319) Matrix(19609,47730,8056,19609) -> Matrix(737,46,11808,737) Matrix(9547,23236,5382,13099) -> Matrix(257,16,4642,289) Matrix(1035,2516,304,739) -> Matrix(67,4,720,43) Matrix(519,1258,92,223) -> Matrix(29,2,188,13) Matrix(2813,6808,1040,2517) -> Matrix(121,8,1588,105) Matrix(12729,30784,-8200,-19831) -> Matrix(619,40,-13324,-861) Matrix(889,2146,-674,-1627) -> Matrix(159,10,-4150,-261) Matrix(6439,15540,2668,6439) -> Matrix(383,24,6112,383) Matrix(3773,9102,1564,3773) -> Matrix(225,14,3616,225) Matrix(6141,14800,1934,4661) -> Matrix(261,16,2822,173) Matrix(3257,7844,1844,4441) -> Matrix(67,4,1256,75) Matrix(26935,64824,-19064,-45881) -> Matrix(263,16,-6460,-393) Matrix(2739,6586,1016,2443) -> Matrix(33,2,412,25) Matrix(371,888,-216,-517) -> Matrix(1,0,0,1) Matrix(963,2294,280,667) -> Matrix(21,2,220,21) Matrix(591,1406,124,295) -> Matrix(23,2,172,15) Matrix(1185,2812,-748,-1775) -> Matrix(55,4,-1224,-89) Matrix(1999,4736,344,815) -> Matrix(57,4,356,25) Matrix(4439,10508,1250,2959) -> Matrix(59,4,634,43) Matrix(813,1924,-532,-1259) -> Matrix(1,0,-8,1) Matrix(815,1924,596,1407) -> Matrix(121,8,3040,201) Matrix(2293,5402,1790,4217) -> Matrix(219,14,5866,375) Matrix(8361,19684,-6004,-14135) -> Matrix(129,8,-3080,-191) Matrix(1479,3478,566,1331) -> Matrix(33,2,478,29) Matrix(223,518,96,223) -> Matrix(31,2,480,31) Matrix(961,2220,416,961) -> Matrix(129,8,2080,129) Matrix(5327,12284,-4108,-9473) -> Matrix(131,8,-3488,-213) Matrix(3403,7844,1990,4587) -> Matrix(65,4,1186,73) Matrix(2441,5624,-1510,-3479) -> Matrix(131,8,-2702,-165) Matrix(7475,17168,2868,6587) -> Matrix(203,12,3028,179) Matrix(1999,4588,742,1703) -> Matrix(1,0,30,1) Matrix(3033,6956,-1646,-3775) -> Matrix(1,0,-2,1) Matrix(4293,9842,646,1481) -> Matrix(235,14,1326,79) Matrix(10137,23236,5972,13689) -> Matrix(271,16,5132,303) Matrix(4735,10804,1686,3847) -> Matrix(211,12,2866,163) Matrix(2369,5402,974,2221) -> Matrix(37,2,610,33) Matrix(4291,9768,-2406,-5477) -> Matrix(1,0,-10,1) Matrix(9323,21164,-6846,-15541) -> Matrix(65,4,-1674,-103) Matrix(15095,34262,5542,12579) -> Matrix(33,2,346,21) Matrix(3625,8214,816,1849) -> Matrix(169,10,1504,89) Matrix(7253,16428,1634,3701) -> Matrix(273,16,2474,145) Matrix(2811,6364,-1504,-3405) -> Matrix(69,4,-1156,-67) Matrix(961,2146,828,1849) -> Matrix(83,6,2476,179) Matrix(1925,4292,-1128,-2515) -> Matrix(59,4,-1136,-77) Matrix(3625,8066,964,2145) -> Matrix(27,2,256,19) Matrix(2961,6586,932,2073) -> Matrix(29,2,304,21) Matrix(667,1480,434,963) -> Matrix(65,4,1446,89) Matrix(2443,5402,1908,4219) -> Matrix(113,6,3032,161) Matrix(2813,6216,-1540,-3403) -> Matrix(1,0,4,1) Matrix(371,814,304,667) -> Matrix(33,2,940,57) Matrix(2369,5180,-1624,-3551) -> Matrix(1,0,-8,1) Matrix(1627,3552,1152,2515) -> Matrix(65,4,1576,97) Matrix(815,1776,374,815) -> Matrix(67,4,1122,67) Matrix(443,962,204,443) -> Matrix(35,2,612,35) Matrix(2443,5254,-1892,-4069) -> Matrix(37,2,-944,-51) Matrix(1481,3182,276,593) -> Matrix(113,6,772,41) Matrix(1109,2368,658,1405) -> Matrix(71,4,1402,79) Matrix(593,1258,140,297) -> Matrix(41,2,348,17) Matrix(815,1554,-504,-961) -> Matrix(39,2,-800,-41) Matrix(1257,2368,-904,-1703) -> Matrix(1,0,-8,1) Matrix(1701,3182,1384,2589) -> Matrix(97,6,2732,169) Matrix(5625,10508,3328,6217) -> Matrix(69,4,1328,77) Matrix(517,962,-438,-815) -> Matrix(33,2,-974,-59) Matrix(519,962,280,519) -> Matrix(35,2,612,35) Matrix(961,1776,520,961) -> Matrix(73,4,1332,73) Matrix(1925,3552,562,1037) -> Matrix(75,4,806,43) Matrix(14653,27010,5380,9917) -> Matrix(37,2,388,21) Matrix(443,814,80,147) -> Matrix(37,2,240,13) Matrix(445,814,-404,-739) -> Matrix(41,2,-1292,-63) Matrix(11987,21904,5426,9915) -> Matrix(1,0,58,1) Matrix(11989,21904,5428,9917) -> Matrix(1,0,12,1) Matrix(2515,4588,-1542,-2813) -> Matrix(71,4,-1438,-81) Matrix(1259,2294,-1096,-1997) -> Matrix(35,2,-1068,-61) Matrix(813,1480,284,517) -> Matrix(75,4,956,51) Matrix(3995,7252,-2528,-4589) -> Matrix(1,0,-4,1) Matrix(1183,2146,-898,-1629) -> Matrix(119,6,-3114,-157) Matrix(1553,2812,-1104,-1999) -> Matrix(85,4,-2104,-99) Matrix(1555,2812,-1268,-2293) -> Matrix(95,4,-2684,-113) Matrix(371,666,-288,-517) -> Matrix(35,2,-928,-53) Matrix(1407,2516,-1034,-1849) -> Matrix(75,4,-1894,-101) Matrix(1037,1850,-912,-1627) -> Matrix(43,2,-1312,-61) Matrix(12283,21904,5394,9619) -> Matrix(1,0,54,1) Matrix(12285,21904,5396,9621) -> Matrix(1,0,16,1) Matrix(1703,3034,-1204,-2145) -> Matrix(31,2,-760,-49) Matrix(667,1184,-458,-813) -> Matrix(1,0,-6,1) Matrix(2589,4588,1628,2885) -> Matrix(1,0,40,1) Matrix(2591,4588,-1880,-3329) -> Matrix(147,8,-3620,-197) Matrix(7031,12432,2972,5255) -> Matrix(73,4,1040,57) Matrix(4441,7844,1844,3257) -> Matrix(75,4,1256,67) Matrix(1259,2220,714,1259) -> Matrix(151,8,2850,151) Matrix(295,518,168,295) -> Matrix(39,2,760,39) Matrix(1999,3478,1234,2147) -> Matrix(37,2,758,41) Matrix(5107,8880,-3702,-6437) -> Matrix(1,0,-6,1) Matrix(3109,5402,682,1185) -> Matrix(271,14,2226,115) Matrix(1109,1924,298,517) -> Matrix(159,8,1570,79) Matrix(9695,16798,6108,10583) -> Matrix(367,18,7972,391) Matrix(7177,12432,3118,5401) -> Matrix(83,4,1390,67) Matrix(3035,5254,-2094,-3625) -> Matrix(41,2,-882,-43) Matrix(5475,9472,-3508,-6069) -> Matrix(83,4,-1764,-85) Matrix(813,1406,-728,-1259) -> Matrix(125,6,-3896,-187) Matrix(815,1406,644,1111) -> Matrix(47,2,1292,55) Matrix(1331,2294,944,1627) -> Matrix(49,2,1200,49) Matrix(3181,5476,1332,2293) -> Matrix(1,0,60,1) Matrix(3183,5476,1334,2295) -> Matrix(1,0,10,1) Matrix(4367,7474,1168,1999) -> Matrix(35,2,332,19) Matrix(11247,19240,-7960,-13617) -> Matrix(149,8,-3632,-195) Matrix(4587,7844,1990,3403) -> Matrix(73,4,1186,65) Matrix(2295,3922,-1948,-3329) -> Matrix(113,6,-3296,-175) Matrix(5329,9102,3120,5329) -> Matrix(265,14,5016,265) Matrix(9101,15540,5330,9101) -> Matrix(457,24,8702,457) Matrix(6511,11100,-3994,-6809) -> Matrix(235,12,-4798,-245) Matrix(3995,6808,2518,4291) -> Matrix(159,8,3478,175) Matrix(739,1258,608,1035) -> Matrix(41,2,1168,57) Matrix(3181,5402,1786,3033) -> Matrix(37,2,610,33) Matrix(6365,10804,2006,3405) -> Matrix(303,16,3314,175) Matrix(28121,47730,16568,28121) -> Matrix(873,46,16568,873) Matrix(12209,20720,7194,12209) -> Matrix(381,20,7258,381) Matrix(3403,5772,-2182,-3701) -> Matrix(1,0,-2,1) Matrix(961,1628,742,1257) -> Matrix(1,0,46,1) Matrix(963,1628,-656,-1109) -> Matrix(1,0,-4,1) Matrix(3331,5624,-2410,-4069) -> Matrix(77,4,-1906,-99) Matrix(2369,3996,878,1481) -> Matrix(79,4,1086,55) Matrix(2811,4736,790,1331) -> Matrix(79,4,770,39) Matrix(1407,2368,836,1407) -> Matrix(239,12,4760,239) Matrix(221,370,132,221) -> Matrix(41,2,840,41) Matrix(1701,2812,1208,1997) -> Matrix(173,8,4260,197) Matrix(3183,5254,2018,3331) -> Matrix(45,2,1102,49) Matrix(1481,2442,-1256,-2071) -> Matrix(45,2,-1328,-59) Matrix(3329,5476,1304,2145) -> Matrix(1,0,56,1) Matrix(3331,5476,1306,2147) -> Matrix(1,0,14,1) Matrix(1037,1702,722,1185) -> Matrix(35,2,822,47) Matrix(9619,15762,-6052,-9917) -> Matrix(37,2,-796,-43) Matrix(5105,8362,1942,3181) -> Matrix(187,10,2674,143) Matrix(815,1332,-588,-961) -> Matrix(79,4,-1916,-97) Matrix(6217,10138,1362,2221) -> Matrix(771,38,6310,311) Matrix(8807,14356,-5674,-9249) -> Matrix(409,20,-8814,-431) Matrix(591,962,454,739) -> Matrix(41,2,1086,53) Matrix(10581,17168,5974,9693) -> Matrix(241,12,4358,217) Matrix(3331,5402,-2144,-3477) -> Matrix(203,10,-4324,-213) Matrix(2145,3478,1688,2737) -> Matrix(285,14,7756,381) Matrix(1553,2516,1324,2145) -> Matrix(165,8,4888,237) Matrix(2147,3478,1234,1999) -> Matrix(41,2,758,37) Matrix(1555,2516,1144,1851) -> Matrix(163,8,4136,203) Matrix(5033,8140,3844,6217) -> Matrix(411,20,10912,531) Matrix(13913,22496,-10068,-16279) -> Matrix(1,0,-4,1) Matrix(4217,6808,1512,2441) -> Matrix(165,8,2248,109) Matrix(5181,8362,2018,3257) -> Matrix(207,10,3374,163) Matrix(6513,10508,-4586,-7399) -> Matrix(413,20,-9974,-483) Matrix(2663,4292,734,1183) -> Matrix(333,16,3434,165) Matrix(1333,2146,828,1333) -> Matrix(293,14,6132,293) Matrix(369,592,230,369) -> Matrix(85,4,1806,85) Matrix(371,592,-324,-517) -> Matrix(87,4,-2632,-121) Matrix(1627,2590,1208,1923) -> Matrix(43,2,1096,51) Matrix(13763,21904,5114,8139) -> Matrix(85,4,1126,53) Matrix(13765,21904,5116,8141) -> Matrix(87,4,1196,55) Matrix(2885,4588,1628,2589) -> Matrix(1,0,40,1) Matrix(4143,6586,2420,3847) -> Matrix(45,2,832,37) Matrix(2515,3996,1024,1627) -> Matrix(85,4,1296,61) Matrix(3403,5402,652,1035) -> Matrix(477,22,3404,157) Matrix(5921,9398,2052,3257) -> Matrix(391,18,4844,223) Matrix(13615,21608,-10072,-15985) -> Matrix(87,4,-2632,-121) Matrix(4291,6808,2518,3995) -> Matrix(175,8,3478,159) Matrix(6439,10212,4060,6439) -> Matrix(527,24,11572,527) Matrix(9101,14430,5740,9101) -> Matrix(749,34,16500,749) Matrix(889,1406,-748,-1183) -> Matrix(137,6,-3996,-175) Matrix(17093,27010,7820,12357) -> Matrix(49,2,808,33) Matrix(21683,34262,12130,19167) -> Matrix(49,2,906,37) Matrix(10211,16132,7400,11691) -> Matrix(91,4,2252,99) Matrix(8807,13912,-6792,-10729) -> Matrix(93,4,-2488,-107) Matrix(3329,5254,984,1553) -> Matrix(137,6,1484,65) Matrix(9991,15762,-7176,-11321) -> Matrix(143,6,-3456,-145) Matrix(3331,5254,2018,3183) -> Matrix(49,2,1102,45) Matrix(2441,3848,1924,3033) -> Matrix(101,4,2752,109) Matrix(3477,5476,1268,1997) -> Matrix(1,0,52,1) Matrix(3479,5476,1270,1999) -> Matrix(1,0,18,1) Matrix(519,814,-424,-665) -> Matrix(39,2,-1112,-57) Matrix(1703,2664,-1182,-1849) -> Matrix(167,8,-3862,-185) Matrix(3033,4736,-2228,-3479) -> Matrix(1,0,-4,1) Matrix(3035,4736,2514,3923) -> Matrix(1,0,50,1) Matrix(4367,6808,1662,2591) -> Matrix(171,8,2458,115) Matrix(6363,9916,-5224,-8141) -> Matrix(85,4,-2444,-115) Matrix(14059,21904,5034,7843) -> Matrix(429,20,5770,269) Matrix(14061,21904,5036,7845) -> Matrix(431,20,5840,271) Matrix(6957,10804,3908,6069) -> Matrix(257,12,4476,209) Matrix(31745,49284,11296,17537) -> Matrix(2321,108,31312,1457) Matrix(31747,49284,11298,17539) -> Matrix(2323,108,31382,1459) Matrix(3625,5624,-2624,-4071) -> Matrix(85,4,-2104,-99) Matrix(2961,4588,2102,3257) -> Matrix(345,16,8474,393) Matrix(813,1258,-718,-1111) -> Matrix(217,10,-6662,-307) Matrix(815,1258,528,815) -> Matrix(219,10,4796,219) Matrix(961,1480,624,961) -> Matrix(265,12,5852,265) Matrix(963,1480,434,667) -> Matrix(89,4,1446,65) Matrix(8213,12580,2270,3477) -> Matrix(269,12,2802,125) Matrix(6141,9398,2272,3477) -> Matrix(407,18,5404,239) Matrix(1257,1850,-956,-1407) -> Matrix(233,10,-6128,-263) Matrix(961,1406,758,1109) -> Matrix(237,10,6470,273) Matrix(7399,10804,3040,4439) -> Matrix(385,16,6184,257) Matrix(10139,14800,5932,8659) -> Matrix(387,16,7232,299) Matrix(4513,6586,2484,3625) -> Matrix(49,2,1004,41) Matrix(3773,5476,1172,1701) -> Matrix(1,0,44,1) Matrix(3775,5476,1174,1703) -> Matrix(1,0,26,1) Matrix(3627,5254,2606,3775) -> Matrix(45,2,1102,49) Matrix(665,962,562,813) -> Matrix(47,2,1386,59) Matrix(667,962,52,75) -> Matrix(137,6,388,17) Matrix(11395,16428,7288,10507) -> Matrix(919,40,19276,839) Matrix(5699,8214,3646,5255) -> Matrix(507,22,10670,463) Matrix(3033,4366,-2314,-3331) -> Matrix(605,26,-15986,-687) Matrix(1183,1702,1028,1479) -> Matrix(327,14,9880,423) Matrix(1185,1702,722,1037) -> Matrix(47,2,822,35) Matrix(3921,5624,670,961) -> Matrix(1,0,30,1) Matrix(28121,40330,19608,28121) -> Matrix(47,2,1104,47) Matrix(19609,28120,13674,19609) -> Matrix(93,4,2162,93) Matrix(3923,5624,2530,3627) -> Matrix(95,4,2066,87) Matrix(2737,3922,-2118,-3035) -> Matrix(47,2,-1246,-53) Matrix(519,740,364,519) -> Matrix(191,8,4560,191) Matrix(1405,1998,988,1405) -> Matrix(529,22,12720,529) Matrix(2813,3996,730,1037) -> Matrix(193,8,1954,81) Matrix(3701,5254,1356,1925) -> Matrix(145,6,1764,73) Matrix(887,1258,208,295) -> Matrix(145,6,1184,49) Matrix(1777,2516,1046,1481) -> Matrix(97,4,1770,73) Matrix(3923,5550,-3190,-4513) -> Matrix(927,38,-26078,-1069) Matrix(2147,3034,472,667) -> Matrix(145,6,1184,49) Matrix(248047,350464,72486,102415) -> Matrix(1273,52,13342,545) Matrix(248049,350464,72488,102417) -> Matrix(1275,52,13412,547) Matrix(16133,22792,11210,15837) -> Matrix(93,4,2162,93) Matrix(2515,3552,1152,1627) -> Matrix(97,4,1576,65) Matrix(1627,2294,944,1331) -> Matrix(49,2,1200,49) Matrix(1629,2294,316,445) -> Matrix(443,18,3224,131) Matrix(1997,2812,1208,1701) -> Matrix(197,8,4260,173) Matrix(369,518,52,73) -> Matrix(51,2,280,11) Matrix(2071,2886,-1700,-2369) -> Matrix(47,2,-1340,-57) Matrix(71263,99234,19610,27307) -> Matrix(719,30,7166,299) Matrix(80141,111592,22054,30709) -> Matrix(961,40,9634,401) Matrix(7549,10508,4360,6069) -> Matrix(97,4,1964,81) Matrix(3405,4736,1384,1925) -> Matrix(101,4,1540,61) Matrix(1331,1850,-1172,-1629) -> Matrix(51,2,-1556,-61) Matrix(1333,1850,214,297) -> Matrix(239,10,1410,59) Matrix(11839,16428,7252,10063) -> Matrix(767,32,15316,639) Matrix(5921,8214,3628,5033) -> Matrix(433,18,8684,361) Matrix(15835,21904,4386,6067) -> Matrix(2841,116,29806,1217) Matrix(15837,21904,4388,6069) -> Matrix(2843,116,29876,1219) Matrix(3479,4810,-2836,-3921) -> Matrix(737,30,-20808,-847) Matrix(9103,12580,3160,4367) -> Matrix(295,12,3712,151) Matrix(8141,11248,5678,7845) -> Matrix(197,8,4654,189) Matrix(3109,4292,1180,1629) -> Matrix(395,16,5604,227) Matrix(11691,16132,7400,10211) -> Matrix(99,4,2252,91) Matrix(80883,111592,22796,31451) -> Matrix(999,40,10964,439) Matrix(71927,99234,20274,27971) -> Matrix(751,30,8286,331) Matrix(2147,2960,1772,2443) -> Matrix(295,12,8432,343) Matrix(591,814,-538,-741) -> Matrix(247,10,-7830,-317) Matrix(593,814,432,593) -> Matrix(249,10,6200,249) Matrix(1405,1924,1026,1405) -> Matrix(601,24,15050,601) Matrix(1407,1924,596,815) -> Matrix(201,8,3040,121) Matrix(7695,10508,4768,6511) -> Matrix(807,32,16720,663) Matrix(5475,7474,2276,3107) -> Matrix(51,2,892,35) Matrix(5921,8066,3260,4441) -> Matrix(51,2,1096,43) Matrix(36185,49284,9616,13097) -> Matrix(713,28,6748,265) Matrix(36187,49284,9618,13099) -> Matrix(715,28,6818,267) Matrix(1851,2516,1144,1555) -> Matrix(203,8,4136,163) Matrix(1037,1406,874,1185) -> Matrix(257,10,7530,293) Matrix(6513,8806,5036,6809) -> Matrix(55,2,1512,55) Matrix(64823,87616,16862,22791) -> Matrix(1,0,66,1) Matrix(64825,87616,16864,22793) -> Matrix(1,0,4,1) Matrix(2959,3996,876,1183) -> Matrix(199,8,2164,87) Matrix(1481,1998,-1206,-1627) -> Matrix(155,6,-4366,-169) Matrix(7993,10508,1802,2369) -> Matrix(211,8,1978,75) Matrix(3773,4958,-3098,-4071) -> Matrix(53,2,-1458,-55) Matrix(2369,3108,452,593) -> Matrix(843,32,5980,227) Matrix(12359,16206,8748,11471) -> Matrix(53,2,1404,53) Matrix(16723,21904,3954,5179) -> Matrix(3497,132,29698,1121) Matrix(16725,21904,3956,5181) -> Matrix(3499,132,29768,1123) Matrix(961,1258,508,665) -> Matrix(53,2,768,29) Matrix(963,1258,284,371) -> Matrix(161,6,1744,65) Matrix(739,962,454,591) -> Matrix(53,2,1086,41) Matrix(4217,5476,968,1257) -> Matrix(317,12,2668,101) Matrix(4219,5476,970,1259) -> Matrix(319,12,2738,103) Matrix(5477,7104,3538,4589) -> Matrix(213,8,4606,173) Matrix(1257,1628,742,961) -> Matrix(1,0,46,1) Matrix(4291,5550,-3548,-4589) -> Matrix(163,6,-4700,-173) Matrix(6067,7844,-5152,-6661) -> Matrix(115,4,-3364,-117) Matrix(1775,2294,-1604,-2073) -> Matrix(49,2,-1544,-63) Matrix(8139,10508,1948,2515) -> Matrix(205,8,1768,69) Matrix(12727,16428,7108,9175) -> Matrix(415,16,7444,287) Matrix(6365,8214,3556,4589) -> Matrix(261,10,4724,181) Matrix(2367,3034,692,887) -> Matrix(161,6,1744,65) Matrix(4217,5402,1790,2293) -> Matrix(375,14,5866,219) Matrix(7917,10138,3062,3921) -> Matrix(1019,38,14990,559) Matrix(1851,2368,290,371) -> Matrix(537,20,3034,113) Matrix(1333,1702,1044,1333) -> Matrix(701,26,18900,701) Matrix(813,1036,638,813) -> Matrix(433,16,11718,433) Matrix(2737,3478,1688,2145) -> Matrix(381,14,7756,285) Matrix(21385,27158,14858,18869) -> Matrix(1033,38,24058,885) Matrix(2739,3478,-2272,-2885) -> Matrix(163,6,-4700,-173) Matrix(3033,3848,1924,2441) -> Matrix(109,4,2752,101) Matrix(1109,1406,758,961) -> Matrix(273,10,6470,237) Matrix(1111,1406,644,815) -> Matrix(55,2,1292,47) Matrix(1703,2146,1234,1555) -> Matrix(53,2,1298,49) Matrix(1849,2294,536,665) -> Matrix(499,18,5184,187) Matrix(4367,5402,1616,1999) -> Matrix(613,22,8164,293) Matrix(2515,3108,598,739) -> Matrix(893,32,7730,277) Matrix(1259,1554,1020,1259) -> Matrix(727,26,20328,727) Matrix(961,1184,780,961) -> Matrix(561,20,15736,561) Matrix(11617,14282,7162,8805) -> Matrix(1633,58,33026,1173) Matrix(2589,3182,1384,1701) -> Matrix(169,6,2732,97) Matrix(5181,6364,3254,3997) -> Matrix(113,4,2514,89) Matrix(667,814,304,371) -> Matrix(57,2,940,33) Matrix(1035,1258,608,739) -> Matrix(57,2,1168,41) Matrix(4513,5476,792,961) -> Matrix(1253,44,8116,285) Matrix(4515,5476,794,963) -> Matrix(1255,44,8186,287) Matrix(2443,2960,1772,2147) -> Matrix(343,12,8432,295) Matrix(2813,3404,2080,2517) -> Matrix(115,4,3076,107) Matrix(1775,2146,244,295) -> Matrix(175,6,904,31) Matrix(3921,4736,2266,2737) -> Matrix(115,4,2386,83) Matrix(4663,5624,1412,1703) -> Matrix(1,0,40,1) Matrix(1553,1850,434,517) -> Matrix(291,10,3230,111) Matrix(1997,2368,436,517) -> Matrix(587,20,4784,163) Matrix(813,962,562,665) -> Matrix(59,2,1386,47) Matrix(8361,9842,4714,5549) -> Matrix(411,14,7486,255) Matrix(4661,5476,692,813) -> Matrix(1769,60,9700,329) Matrix(4663,5476,694,815) -> Matrix(1771,60,9770,331) Matrix(2145,2516,1324,1553) -> Matrix(237,8,4888,165) Matrix(445,518,128,149) -> Matrix(59,2,560,19) Matrix(1851,2146,320,371) -> Matrix(179,6,1044,35) Matrix(1407,1628,1216,1407) -> Matrix(959,32,28740,959) Matrix(961,1110,832,961) -> Matrix(661,22,19860,661) Matrix(1479,1702,1028,1183) -> Matrix(423,14,9880,327) Matrix(2293,2590,1768,1997) -> Matrix(185,6,4964,161) Matrix(887,962,272,295) -> Matrix(193,6,2348,73) Matrix(1,0,2,1) -> Matrix(1,0,70,1) Matrix(1555,-1702,878,-961) -> Matrix(191,-6,3470,-109) Matrix(739,-814,404,-445) -> Matrix(63,-2,1292,-41) Matrix(1257,-1406,464,-519) -> Matrix(311,-10,4012,-129) Matrix(1111,-1258,718,-813) -> Matrix(307,-10,6662,-217) Matrix(1627,-1850,912,-1037) -> Matrix(61,-2,1312,-43) Matrix(1997,-2294,1096,-1259) -> Matrix(61,-2,1068,-35) Matrix(1259,-1480,188,-221) -> Matrix(471,-16,2620,-89) Matrix(3329,-3922,1948,-2295) -> Matrix(175,-6,3296,-113) Matrix(815,-962,438,-517) -> Matrix(59,-2,974,-33) Matrix(1183,-1406,748,-889) -> Matrix(175,-6,3996,-137) Matrix(2885,-3478,2272,-2739) -> Matrix(173,-6,4700,-163) Matrix(4589,-5550,3548,-4291) -> Matrix(173,-6,4700,-163) Matrix(2441,-2960,428,-519) -> Matrix(685,-24,4424,-155) Matrix(2369,-2886,1700,-2071) -> Matrix(57,-2,1340,-47) Matrix(665,-814,424,-519) -> Matrix(57,-2,1112,-39) Matrix(1627,-1998,1206,-1481) -> Matrix(169,-6,4366,-155) Matrix(1925,-2368,1082,-1331) -> Matrix(225,-8,4022,-143) Matrix(5625,-6956,1196,-1479) -> Matrix(111,-4,916,-33) Matrix(1851,-2294,656,-813) -> Matrix(389,-14,5196,-187) Matrix(1701,-2146,646,-815) -> Matrix(167,-6,2366,-85) Matrix(5477,-6956,1048,-1331) -> Matrix(107,-4,776,-29) Matrix(1331,-1702,348,-445) -> Matrix(269,-10,2448,-91) Matrix(517,-666,288,-371) -> Matrix(53,-2,928,-35) Matrix(3035,-3922,2118,-2737) -> Matrix(53,-2,1246,-47) Matrix(9101,-11766,5324,-6883) -> Matrix(59,-2,1092,-37) Matrix(9473,-12284,4108,-5327) -> Matrix(213,-8,3488,-131) Matrix(2737,-3552,628,-815) -> Matrix(213,-8,1784,-67) Matrix(4293,-5624,1016,-1331) -> Matrix(1059,-40,9028,-341) Matrix(3331,-4366,2314,-3033) -> Matrix(687,-26,15986,-605) Matrix(3775,-4958,2422,-3181) -> Matrix(263,-10,5602,-213) Matrix(3995,-5254,2364,-3109) -> Matrix(263,-10,5076,-193) Matrix(1627,-2146,674,-889) -> Matrix(261,-10,4150,-159) Matrix(15985,-21608,10072,-13615) -> Matrix(121,-4,2632,-87) Matrix(1257,-1702,274,-371) -> Matrix(259,-10,2098,-81) Matrix(1849,-2516,1034,-1407) -> Matrix(101,-4,1894,-75) Matrix(2221,-3034,866,-1183) -> Matrix(151,-6,2542,-101) Matrix(3329,-4588,1880,-2591) -> Matrix(197,-8,3620,-147) Matrix(6437,-8880,3702,-5107) -> Matrix(1,0,-6,1) Matrix(4071,-5624,2624,-3625) -> Matrix(99,-4,2104,-85) Matrix(4069,-5624,2410,-3331) -> Matrix(99,-4,1906,-77) Matrix(2515,-3478,1392,-1925) -> Matrix(49,-2,1348,-55) Matrix(1925,-2664,534,-739) -> Matrix(391,-16,4130,-169) Matrix(961,-1332,588,-815) -> Matrix(97,-4,1916,-79) Matrix(2663,-3700,1492,-2073) -> Matrix(1,0,-4,1) Matrix(1703,-2368,904,-1257) -> Matrix(1,0,-8,1) Matrix(11321,-15762,7176,-9991) -> Matrix(145,-6,3456,-143) Matrix(2811,-3922,1804,-2517) -> Matrix(45,-2,968,-43) Matrix(1999,-2812,1104,-1553) -> Matrix(99,-4,2104,-85) Matrix(13617,-19240,7960,-11247) -> Matrix(195,-8,3632,-149) Matrix(2145,-3034,1204,-1703) -> Matrix(49,-2,760,-31) Matrix(7399,-10508,4586,-6513) -> Matrix(483,-20,9974,-413) Matrix(2739,-3922,1498,-2145) -> Matrix(47,-2,1058,-45) Matrix(1849,-2664,1182,-1703) -> Matrix(185,-8,3862,-167) Matrix(3625,-5254,2094,-3035) -> Matrix(43,-2,882,-41) Matrix(815,-1184,254,-369) -> Matrix(1,0,-14,1) Matrix(813,-1184,458,-667) -> Matrix(1,0,-6,1) Matrix(1109,-1628,656,-963) -> Matrix(1,0,-4,1) Matrix(1259,-1924,532,-813) -> Matrix(1,0,-8,1) Matrix(1481,-2294,286,-443) -> Matrix(303,-14,2186,-101) Matrix(4959,-7696,2908,-4513) -> Matrix(173,-8,3352,-155) Matrix(3477,-5402,2144,-3331) -> Matrix(213,-10,4324,-203) Matrix(1331,-2072,476,-741) -> Matrix(1,0,-8,1) Matrix(3701,-5772,2182,-3403) -> Matrix(1,0,-2,1) Matrix(6069,-9472,3508,-5475) -> Matrix(85,-4,1764,-83) Matrix(2369,-3700,1326,-2071) -> Matrix(85,-4,1594,-75) Matrix(4069,-6364,1562,-2443) -> Matrix(167,-8,2526,-121) Matrix(2221,-3478,1228,-1923) -> Matrix(41,-2,964,-47) Matrix(2443,-3848,892,-1405) -> Matrix(1,0,-20,1) Matrix(37667,-59422,10366,-16353) -> Matrix(335,-14,3374,-141) Matrix(4217,-6660,1828,-2887) -> Matrix(95,-4,1544,-65) Matrix(4589,-7252,2528,-3995) -> Matrix(1,0,-4,1) Matrix(887,-1406,94,-149) -> Matrix(221,-10,862,-39) Matrix(32265,-51208,8392,-13319) -> Matrix(87,-4,1588,-73) Matrix(5401,-8584,1444,-2295) -> Matrix(89,-4,868,-39) Matrix(7253,-11544,2696,-4291) -> Matrix(1,0,-8,1) Matrix(2369,-3774,1300,-2071) -> Matrix(43,-2,796,-37) Matrix(1331,-2146,276,-445) -> Matrix(125,-6,896,-43) Matrix(3479,-5624,1510,-2441) -> Matrix(165,-8,2702,-131) Matrix(961,-1554,504,-815) -> Matrix(41,-2,800,-39) Matrix(1185,-1924,364,-591) -> Matrix(1,0,-8,1) Matrix(6809,-11100,3994,-6511) -> Matrix(245,-12,4798,-235) Matrix(2813,-4588,1542,-2515) -> Matrix(81,-4,1438,-71) Matrix(1851,-3034,496,-813) -> Matrix(109,-6,1072,-59) Matrix(1259,-2072,494,-813) -> Matrix(1,0,-14,1) Matrix(1257,-2072,674,-1111) -> Matrix(1,0,-6,1) Matrix(6659,-11248,2892,-4885) -> Matrix(79,-4,1284,-65) Matrix(18055,-30784,6424,-10953) -> Matrix(781,-40,10524,-539) Matrix(1257,-2146,304,-519) -> Matrix(191,-10,1700,-89) Matrix(37889,-64824,11072,-18943) -> Matrix(297,-16,3100,-167) Matrix(517,-888,216,-371) -> Matrix(1,0,0,1) Matrix(1627,-2812,600,-1037) -> Matrix(85,-4,1084,-51) Matrix(1111,-1924,384,-665) -> Matrix(1,0,-8,1) Matrix(11323,-19684,3192,-5549) -> Matrix(151,-8,1680,-89) Matrix(6957,-12284,1592,-2811) -> Matrix(149,-8,1248,-67) Matrix(3183,-5624,1214,-2145) -> Matrix(149,-8,2142,-115) Matrix(3923,-6956,1794,-3181) -> Matrix(1,0,-2,1) Matrix(5477,-9768,2406,-4291) -> Matrix(1,0,-10,1) Matrix(11841,-21164,3146,-5623) -> Matrix(75,-4,694,-37) Matrix(3553,-6364,1652,-2959) -> Matrix(71,-4,1296,-73) Matrix(2367,-4292,980,-1777) -> Matrix(81,-4,1276,-63) Matrix(3403,-6216,1540,-2813) -> Matrix(1,0,4,1) Matrix(2811,-5180,884,-1629) -> Matrix(1,0,-8,1) Matrix(2811,-5254,634,-1185) -> Matrix(33,-2,314,-19) Matrix(739,-1554,282,-593) -> Matrix(31,-2,450,-29) Matrix(1111,-2368,312,-665) -> Matrix(1,0,-8,1) Matrix(445,-962,68,-147) -> Matrix(37,-2,204,-11) Matrix(369,-814,34,-75) -> Matrix(29,-2,102,-7) Matrix(2073,-4588,802,-1775) -> Matrix(69,-4,1018,-59) Matrix(1035,-2294,134,-297) -> Matrix(35,-2,158,-9) Matrix(3257,-7252,1196,-2663) -> Matrix(1,0,-4,1) Matrix(963,-2146,232,-517) -> Matrix(91,-6,804,-53) Matrix(1259,-2812,364,-813) -> Matrix(55,-4,564,-41) Matrix(1257,-2812,232,-519) -> Matrix(45,-4,304,-27) Matrix(295,-666,66,-149) -> Matrix(35,-2,298,-17) Matrix(1109,-2516,294,-667) -> Matrix(65,-4,634,-39) Matrix(813,-1850,98,-223) -> Matrix(27,-2,122,-9) Matrix(1331,-3034,390,-889) -> Matrix(39,-2,410,-21) Matrix(517,-1184,162,-371) -> Matrix(1,0,-6,1) Matrix(1997,-4588,548,-1259) -> Matrix(133,-8,1380,-83) Matrix(3773,-8880,1038,-2443) -> Matrix(1,0,-6,1) Matrix(2219,-5254,688,-1629) -> Matrix(29,-2,392,-27) Matrix(3997,-9472,1436,-3403) -> Matrix(57,-4,784,-55) Matrix(593,-1406,62,-147) -> Matrix(85,-6,326,-23) Matrix(7993,-19240,2336,-5623) -> Matrix(131,-8,1392,-85) Matrix(1627,-3922,246,-593) -> Matrix(97,-6,566,-35) Matrix(4589,-11100,1774,-4291) -> Matrix(185,-12,2698,-175) Matrix(2369,-5772,850,-2071) -> Matrix(1,0,-2,1) Matrix(665,-1628,212,-519) -> Matrix(1,0,-4,1) Matrix(2293,-5624,634,-1555) -> Matrix(63,-4,646,-41) Matrix(961,-2442,146,-371) -> Matrix(25,-2,138,-11) Matrix(6143,-15762,2278,-5845) -> Matrix(33,-2,446,-27) Matrix(517,-1332,144,-371) -> Matrix(61,-4,656,-43) Matrix(5549,-14356,1974,-5107) -> Matrix(291,-20,3914,-269) Matrix(2071,-5402,738,-1925) -> Matrix(147,-10,2014,-137) Matrix(8583,-22496,2372,-6217) -> Matrix(1,0,-4,1) Matrix(3995,-10508,1182,-3109) -> Matrix(287,-20,3114,-217) Matrix(221,-592,28,-75) -> Matrix(53,-4,252,-19) Matrix(7993,-21608,2080,-5623) -> Matrix(53,-4,252,-19) Matrix(517,-1406,82,-223) -> Matrix(73,-6,426,-35) Matrix(5105,-13912,1168,-3183) -> Matrix(47,-4,388,-33) Matrix(5771,-15762,1626,-4441) -> Matrix(67,-6,726,-65) Matrix(295,-814,54,-149) -> Matrix(31,-2,202,-13) Matrix(961,-2664,294,-815) -> Matrix(113,-8,1342,-95) Matrix(1703,-4736,452,-1257) -> Matrix(1,0,-4,1) Matrix(3553,-9916,636,-1775) -> Matrix(55,-4,344,-25) Matrix(1999,-5624,552,-1553) -> Matrix(55,-4,564,-41) Matrix(445,-1258,52,-147) -> Matrix(133,-10,572,-43) Matrix(593,-1850,142,-443) -> Matrix(117,-10,1018,-87) Matrix(1333,-4366,316,-1035) -> Matrix(305,-26,2616,-223) Matrix(1185,-3922,268,-887) -> Matrix(23,-2,196,-17) Matrix(1627,-5550,304,-1037) -> Matrix(403,-38,2768,-261) Matrix(815,-2886,146,-517) -> Matrix(23,-2,150,-13) Matrix(519,-1850,62,-221) -> Matrix(19,-2,86,-9) Matrix(1331,-4810,246,-889) -> Matrix(313,-30,2118,-203) Matrix(223,-814,20,-73) -> Matrix(103,-10,340,-33) Matrix(517,-1998,96,-371) -> Matrix(55,-6,376,-41) Matrix(1185,-4958,212,-887) -> Matrix(17,-2,128,-15) Matrix(1259,-5550,218,-961) -> Matrix(47,-6,290,-37) Matrix(1777,-7844,268,-1183) -> Matrix(25,-4,144,-23) Matrix(519,-2294,50,-221) -> Matrix(21,-2,74,-7) Matrix(739,-3478,126,-593) -> Matrix(47,-6,290,-37) 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): 342 Degree of the the map X: 342 Degree of the the map Y: 684 ----------------------------------------------------------------------- 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): 684 Minimal number of generators: 115 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: 36 Genus: 40 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 2/1 37/17 37/16 74/31 12/5 111/46 37/15 37/14 111/41 37/13 3/1 111/34 185/56 37/11 37/10 4/1 148/35 111/25 37/8 14/3 19/4 5/1 37/7 16/3 11/2 17/3 6/1 13/2 7/1 37/5 15/2 8/1 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES 0/1 0/1 1/1 1/35 9/8 7/216 8/7 2/61 23/20 7/212 15/13 11/331 7/6 1/30 13/11 1/29 6/5 4/115 17/14 5/142 11/9 1/29 27/22 9/254 43/35 3/85 16/13 10/281 5/4 1/28 14/11 8/217 9/7 5/133 31/24 1/24 53/41 1/31 22/17 4/107 13/10 1/26 17/13 1/27 38/29 20/529 21/16 7/184 4/3 2/51 19/14 9/230 34/25 8/203 15/11 7/177 11/8 5/124 18/13 8/195 7/5 1/25 24/17 2/49 17/12 1/24 10/7 4/95 43/30 5/118 33/23 3/71 23/16 7/164 59/41 19/443 95/66 25/582 36/25 14/325 13/9 1/23 3/2 1/22 17/11 5/109 31/20 3/64 45/29 3/65 14/9 0/1 39/25 1/21 25/16 7/148 61/39 1/21 36/23 10/207 47/30 5/102 11/7 1/19 19/12 5/112 46/29 12/263 73/46 19/414 27/17 1/21 62/39 4/89 35/22 1/22 78/49 0/1 43/27 1/23 8/5 2/43 21/13 5/103 55/34 13/266 34/21 0/1 13/8 1/20 31/19 7/141 18/11 4/77 41/25 1/19 23/14 1/14 5/3 1/21 27/16 1/20 49/29 9/175 22/13 4/77 39/23 1/19 56/33 10/191 73/43 13/245 17/10 1/18 29/17 1/19 41/24 7/132 12/7 2/35 31/18 1/30 19/11 3/65 7/4 1/20 23/13 3/55 39/22 1/18 55/31 7/125 16/9 2/37 41/23 1/13 25/14 3/58 59/33 1/17 34/19 4/73 43/24 5/88 9/5 1/15 29/16 1/20 20/11 2/39 11/6 1/18 13/7 1/17 15/8 1/20 2/1 0/1 13/6 1/18 37/17 1/17 24/11 2/33 11/5 1/17 20/9 2/31 9/4 1/20 34/15 4/67 25/11 3/47 41/18 1/22 16/7 2/33 39/17 1/17 23/10 3/50 30/13 4/65 37/16 1/16 7/3 1/15 19/8 3/40 31/13 1/5 74/31 0/1 43/18 1/30 12/5 2/35 41/17 7/113 111/46 1/16 70/29 12/191 29/12 1/16 46/19 4/59 17/7 1/17 56/23 10/159 39/16 1/16 22/9 4/63 49/20 9/140 27/11 1/15 32/13 6/91 37/15 1/15 5/2 1/14 18/7 4/63 31/12 7/104 13/5 1/15 21/8 5/72 29/11 7/99 37/14 1/14 8/3 2/27 43/16 1/12 35/13 1/13 27/10 1/14 46/17 12/157 111/41 1/13 65/24 17/220 19/7 5/63 11/4 1/16 36/13 10/143 25/9 7/97 64/23 2/27 39/14 1/14 14/5 0/1 17/6 5/66 37/13 1/13 20/7 6/77 3/1 1/13 19/6 7/78 35/11 1/11 16/5 2/21 13/4 1/12 62/19 16/193 111/34 1/12 49/15 15/179 36/11 14/165 59/18 19/222 23/7 7/81 33/10 3/34 109/33 1/11 185/56 1/12 76/23 2/23 43/13 5/57 10/3 4/45 37/11 1/11 27/8 11/120 17/5 1/11 24/7 2/21 7/2 1/10 18/5 8/85 11/3 5/51 37/10 1/10 26/7 12/119 15/4 7/68 49/13 7/69 34/9 8/77 19/5 9/85 4/1 2/19 21/5 7/61 38/9 20/171 93/22 43/366 148/35 2/17 55/13 23/195 17/4 1/8 13/3 1/9 35/8 1/8 22/5 4/33 75/17 7/51 53/12 1/4 31/7 1/11 71/16 7/64 111/25 1/9 40/9 6/53 9/2 5/42 23/5 13/105 37/8 1/8 14/3 8/63 33/7 3/23 19/4 11/84 5/1 1/7 21/4 13/92 37/7 1/7 16/3 10/69 43/8 3/20 27/5 9/61 38/7 24/161 11/2 1/6 17/3 5/33 23/4 5/32 29/5 1/7 6/1 4/25 13/2 1/6 7/1 1/5 22/3 16/81 37/5 1/5 15/2 11/54 23/3 7/33 8/1 2/9 9/1 7/29 10/1 4/15 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,1,1) (0/1,1/0) -> (0/1,1/1) Parabolic Matrix(630,-703,397,-443) (1/1,9/8) -> (46/29,73/46) Hyperbolic Matrix(554,-629,229,-260) (9/8,8/7) -> (29/12,46/19) Hyperbolic Matrix(741,-851,128,-147) (8/7,23/20) -> (23/4,29/5) Hyperbolic Matrix(1479,-1702,451,-519) (23/20,15/13) -> (59/18,23/7) Hyperbolic Matrix(223,-259,31,-36) (15/13,7/6) -> (7/1,22/3) Hyperbolic Matrix(221,-259,64,-75) (7/6,13/11) -> (24/7,7/2) Hyperbolic Matrix(406,-481,157,-186) (13/11,6/5) -> (31/12,13/5) Hyperbolic Matrix(519,-629,335,-406) (6/5,17/14) -> (17/11,31/20) Hyperbolic Matrix(334,-407,151,-184) (17/14,11/9) -> (11/5,20/9) Hyperbolic Matrix(665,-814,424,-519) (11/9,27/22) -> (47/30,11/7) Hyperbolic Matrix(1296,-1591,391,-480) (27/22,43/35) -> (43/13,10/3) Hyperbolic Matrix(2258,-2775,511,-628) (43/35,16/13) -> (53/12,31/7) Hyperbolic Matrix(149,-185,29,-36) (16/13,5/4) -> (5/1,21/4) Hyperbolic Matrix(147,-185,89,-112) (5/4,14/11) -> (23/14,5/3) Hyperbolic Matrix(260,-333,57,-73) (14/11,9/7) -> (9/2,23/5) Hyperbolic Matrix(517,-666,288,-371) (9/7,31/24) -> (43/24,9/5) Hyperbolic Matrix(2147,-2775,400,-517) (31/24,53/41) -> (16/3,43/8) Hyperbolic Matrix(4034,-5217,2803,-3625) (53/41,22/17) -> (59/41,95/66) Hyperbolic Matrix(371,-481,199,-258) (22/17,13/10) -> (13/7,15/8) Hyperbolic Matrix(482,-629,141,-184) (13/10,17/13) -> (17/5,24/7) Hyperbolic Matrix(1442,-1887,849,-1111) (17/13,38/29) -> (73/43,17/10) Hyperbolic Matrix(3331,-4366,2314,-3033) (38/29,21/16) -> (95/66,36/25) Hyperbolic Matrix(704,-925,309,-406) (21/16,4/3) -> (41/18,16/7) Hyperbolic Matrix(628,-851,383,-519) (4/3,19/14) -> (18/11,41/25) Hyperbolic Matrix(517,-703,164,-223) (19/14,34/25) -> (3/1,19/6) Hyperbolic Matrix(1849,-2516,1034,-1407) (34/25,15/11) -> (59/33,34/19) Hyperbolic Matrix(406,-555,109,-149) (15/11,11/8) -> (26/7,15/4) Hyperbolic Matrix(295,-407,108,-149) (11/8,18/13) -> (19/7,11/4) Hyperbolic Matrix(186,-259,79,-110) (18/13,7/5) -> (7/3,19/8) Hyperbolic Matrix(184,-259,27,-38) (7/5,24/17) -> (13/2,7/1) Hyperbolic Matrix(445,-629,104,-147) (24/17,17/12) -> (17/4,13/3) Hyperbolic Matrix(443,-629,131,-186) (17/12,10/7) -> (27/8,17/5) Hyperbolic Matrix(1111,-1591,206,-295) (10/7,43/30) -> (43/8,27/5) Hyperbolic Matrix(3329,-4773,2091,-2998) (43/30,33/23) -> (78/49,43/27) Hyperbolic Matrix(850,-1221,181,-260) (33/23,23/16) -> (14/3,33/7) Hyperbolic Matrix(1183,-1702,155,-223) (23/16,59/41) -> (15/2,23/3) Hyperbolic Matrix(1849,-2664,1182,-1703) (36/25,13/9) -> (61/39,36/23) Hyperbolic Matrix(332,-481,205,-297) (13/9,3/2) -> (34/21,13/8) Hyperbolic Matrix(73,-111,25,-38) (3/2,17/11) -> (20/7,3/1) Hyperbolic Matrix(1407,-2183,524,-813) (31/20,45/29) -> (8/3,43/16) Hyperbolic Matrix(739,-1147,96,-149) (45/29,14/9) -> (23/3,8/1) Hyperbolic Matrix(926,-1443,403,-628) (14/9,39/25) -> (39/17,23/10) Hyperbolic Matrix(2110,-3293,1327,-2071) (39/25,25/16) -> (62/39,35/22) Hyperbolic Matrix(2626,-4107,805,-1259) (25/16,61/39) -> (13/4,62/19) Hyperbolic Matrix(260,-407,23,-36) (36/23,47/30) -> (10/1,1/0) Hyperbolic Matrix(258,-407,71,-112) (11/7,19/12) -> (18/5,11/3) Hyperbolic Matrix(1331,-2109,491,-778) (19/12,46/29) -> (65/24,19/7) Hyperbolic Matrix(1888,-2997,349,-554) (73/46,27/17) -> (27/5,38/7) Hyperbolic Matrix(1886,-2997,769,-1222) (27/17,62/39) -> (49/20,27/11) Hyperbolic Matrix(6067,-9657,1837,-2924) (35/22,78/49) -> (33/10,109/33) Hyperbolic Matrix(813,-1295,140,-223) (43/27,8/5) -> (29/5,6/1) Hyperbolic Matrix(482,-777,183,-295) (8/5,21/13) -> (21/8,29/11) Hyperbolic Matrix(1259,-2035,709,-1146) (21/13,55/34) -> (55/31,16/9) Hyperbolic Matrix(1555,-2516,411,-665) (55/34,34/21) -> (34/9,19/5) Hyperbolic Matrix(295,-481,46,-75) (13/8,31/19) -> (6/1,13/2) Hyperbolic Matrix(702,-1147,295,-482) (31/19,18/11) -> (19/8,31/13) Hyperbolic Matrix(1037,-1702,315,-517) (41/25,23/14) -> (23/7,33/10) Hyperbolic Matrix(593,-999,241,-406) (5/3,27/16) -> (27/11,32/13) Hyperbolic Matrix(2256,-3811,811,-1370) (27/16,49/29) -> (25/9,64/23) Hyperbolic Matrix(1072,-1813,285,-482) (49/29,22/13) -> (15/4,49/13) Hyperbolic Matrix(961,-1628,219,-371) (22/13,39/23) -> (35/8,22/5) Hyperbolic Matrix(1592,-2701,501,-850) (39/23,56/33) -> (19/6,35/11) Hyperbolic Matrix(5253,-8917,1243,-2110) (56/33,73/43) -> (38/9,93/22) Hyperbolic Matrix(630,-1073,347,-591) (17/10,29/17) -> (29/16,20/11) Hyperbolic Matrix(1886,-3219,781,-1333) (29/17,41/24) -> (70/29,29/12) Hyperbolic Matrix(887,-1517,390,-667) (41/24,12/7) -> (25/11,41/18) Hyperbolic Matrix(517,-888,216,-371) (12/7,31/18) -> (43/18,12/5) Hyperbolic Matrix(665,-1147,258,-445) (31/18,19/11) -> (18/7,31/12) Hyperbolic Matrix(149,-259,42,-73) (19/11,7/4) -> (7/2,18/5) Hyperbolic Matrix(482,-851,209,-369) (7/4,23/13) -> (23/10,30/13) Hyperbolic Matrix(815,-1443,292,-517) (23/13,39/22) -> (39/14,14/5) Hyperbolic Matrix(2441,-4329,1002,-1777) (39/22,55/31) -> (56/23,39/16) Hyperbolic Matrix(519,-925,124,-221) (16/9,41/23) -> (4/1,21/5) Hyperbolic Matrix(850,-1517,353,-630) (41/23,25/14) -> (12/5,41/17) Hyperbolic Matrix(1925,-3441,786,-1405) (25/14,59/33) -> (22/9,49/20) Hyperbolic Matrix(2293,-4107,517,-926) (34/19,43/24) -> (31/7,71/16) Hyperbolic Matrix(184,-333,21,-38) (9/5,29/16) -> (8/1,9/1) Hyperbolic Matrix(223,-407,40,-73) (20/11,11/6) -> (11/2,17/3) Hyperbolic Matrix(221,-407,101,-186) (11/6,13/7) -> (24/11,11/5) Hyperbolic Matrix(334,-629,137,-258) (15/8,2/1) -> (39/16,22/9) Hyperbolic Matrix(223,-481,51,-110) (2/1,13/6) -> (13/3,35/8) Hyperbolic Matrix(630,-1369,289,-628) (13/6,37/17) -> (37/17,24/11) Parabolic Matrix(482,-1073,199,-443) (20/9,9/4) -> (46/19,17/7) Hyperbolic Matrix(295,-666,66,-149) (9/4,34/15) -> (40/9,9/2) Hyperbolic Matrix(1109,-2516,294,-667) (34/15,25/11) -> (49/13,34/9) Hyperbolic Matrix(517,-1184,162,-371) (16/7,39/17) -> (35/11,16/5) Hyperbolic Matrix(593,-1369,256,-591) (30/13,37/16) -> (37/16,7/3) Parabolic Matrix(2295,-5476,961,-2293) (31/13,74/31) -> (74/31,43/18) Parabolic Matrix(5107,-12321,2116,-5105) (41/17,111/46) -> (111/46,70/29) Parabolic Matrix(776,-1887,183,-445) (17/7,56/23) -> (55/13,17/4) Hyperbolic Matrix(556,-1369,225,-554) (32/13,37/15) -> (37/15,5/2) Parabolic Matrix(73,-185,15,-38) (5/2,18/7) -> (19/4,5/1) Hyperbolic Matrix(184,-481,57,-149) (13/5,21/8) -> (16/5,13/4) Hyperbolic Matrix(519,-1369,196,-517) (29/11,37/14) -> (37/14,8/3) Parabolic Matrix(1775,-4773,537,-1444) (43/16,35/13) -> (76/23,43/13) Hyperbolic Matrix(1222,-3293,439,-1183) (35/13,27/10) -> (64/23,39/14) Hyperbolic Matrix(260,-703,27,-73) (27/10,46/17) -> (9/1,10/1) Hyperbolic Matrix(4552,-12321,1681,-4550) (46/17,111/41) -> (111/41,65/24) Parabolic Matrix(295,-814,54,-149) (11/4,36/13) -> (38/7,11/2) Hyperbolic Matrix(961,-2664,294,-815) (36/13,25/9) -> (49/15,36/11) Hyperbolic Matrix(223,-629,39,-110) (14/5,17/6) -> (17/3,23/4) Hyperbolic Matrix(482,-1369,169,-480) (17/6,37/13) -> (37/13,20/7) Parabolic Matrix(3775,-12321,1156,-3773) (62/19,111/34) -> (111/34,49/15) Parabolic Matrix(1592,-5217,361,-1183) (36/11,59/18) -> (22/5,75/17) Hyperbolic Matrix(10361,-34225,3136,-10359) (109/33,185/56) -> (185/56,76/23) Parabolic Matrix(408,-1369,121,-406) (10/3,37/11) -> (37/11,27/8) Parabolic Matrix(371,-1369,100,-369) (11/3,37/10) -> (37/10,26/7) Parabolic Matrix(184,-703,39,-149) (19/5,4/1) -> (33/7,19/4) Hyperbolic Matrix(852,-3589,193,-813) (21/5,38/9) -> (75/17,53/12) Hyperbolic Matrix(5181,-21904,1225,-5179) (93/22,148/35) -> (148/35,55/13) Parabolic Matrix(2776,-12321,625,-2774) (71/16,111/25) -> (111/25,40/9) Parabolic Matrix(297,-1369,64,-295) (23/5,37/8) -> (37/8,14/3) Parabolic Matrix(260,-1369,49,-258) (21/4,37/7) -> (37/7,16/3) Parabolic Matrix(186,-1369,25,-184) (22/3,37/5) -> (37/5,15/2) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,0,1,1) -> Matrix(1,0,35,1) Matrix(630,-703,397,-443) -> Matrix(156,-5,3401,-109) Matrix(554,-629,229,-260) -> Matrix(92,-3,1411,-46) Matrix(741,-851,128,-147) -> Matrix(31,-1,156,-5) Matrix(1479,-1702,451,-519) -> Matrix(423,-14,4925,-163) Matrix(223,-259,31,-36) -> Matrix(149,-5,775,-26) Matrix(221,-259,64,-75) -> Matrix(89,-3,920,-31) Matrix(406,-481,157,-186) -> Matrix(88,-3,1291,-44) Matrix(519,-629,335,-406) -> Matrix(143,-5,3089,-108) Matrix(334,-407,151,-184) -> Matrix(28,-1,505,-18) Matrix(665,-814,424,-519) -> Matrix(57,-2,1112,-39) Matrix(1296,-1591,391,-480) -> Matrix(310,-11,3551,-126) Matrix(2258,-2775,511,-628) -> Matrix(28,-1,393,-14) Matrix(149,-185,29,-36) -> Matrix(83,-3,609,-22) Matrix(147,-185,89,-112) -> Matrix(27,-1,595,-22) Matrix(260,-333,57,-73) -> Matrix(134,-5,1099,-41) Matrix(517,-666,288,-371) -> Matrix(53,-2,928,-35) Matrix(2147,-2775,400,-517) -> Matrix(21,-1,148,-7) Matrix(4034,-5217,2803,-3625) -> Matrix(192,-7,4471,-163) Matrix(371,-481,199,-258) -> Matrix(27,-1,433,-16) Matrix(482,-629,141,-184) -> Matrix(28,-1,281,-10) Matrix(1442,-1887,849,-1111) -> Matrix(80,-3,1467,-55) Matrix(3331,-4366,2314,-3033) -> Matrix(687,-26,15986,-605) Matrix(704,-925,309,-406) -> Matrix(26,-1,521,-20) Matrix(628,-851,383,-519) -> Matrix(26,-1,443,-17) Matrix(517,-703,164,-223) -> Matrix(127,-5,1448,-57) Matrix(1849,-2516,1034,-1407) -> Matrix(101,-4,1894,-75) Matrix(406,-555,109,-149) -> Matrix(176,-7,1735,-69) Matrix(295,-407,108,-149) -> Matrix(25,-1,276,-11) Matrix(186,-259,79,-110) -> Matrix(24,-1,385,-16) Matrix(184,-259,27,-38) -> Matrix(74,-3,395,-16) Matrix(445,-629,104,-147) -> Matrix(25,-1,176,-7) Matrix(443,-629,131,-186) -> Matrix(169,-7,1835,-76) Matrix(1111,-1591,206,-295) -> Matrix(259,-11,1766,-75) Matrix(3329,-4773,2091,-2998) -> Matrix(71,-3,1515,-64) Matrix(850,-1221,181,-260) -> Matrix(212,-9,1649,-70) Matrix(1183,-1702,155,-223) -> Matrix(327,-14,1565,-67) Matrix(1849,-2664,1182,-1703) -> Matrix(185,-8,3862,-167) Matrix(332,-481,205,-297) -> Matrix(22,-1,463,-21) Matrix(73,-111,25,-38) -> Matrix(23,-1,277,-12) Matrix(1407,-2183,524,-813) -> Matrix(21,-1,316,-15) Matrix(739,-1147,96,-149) -> Matrix(151,-7,712,-33) Matrix(926,-1443,403,-628) -> Matrix(64,-3,1067,-50) Matrix(2110,-3293,1327,-2071) -> Matrix(64,-3,1387,-65) Matrix(2626,-4107,805,-1259) -> Matrix(188,-9,2277,-109) Matrix(260,-407,23,-36) -> Matrix(62,-3,207,-10) Matrix(258,-407,71,-112) -> Matrix(24,-1,241,-10) Matrix(1331,-2109,491,-778) -> Matrix(111,-5,1421,-64) Matrix(1888,-2997,349,-554) -> Matrix(282,-13,1909,-88) Matrix(1886,-2997,769,-1222) -> Matrix(20,-1,321,-16) Matrix(6067,-9657,1837,-2924) -> Matrix(65,-3,737,-34) Matrix(813,-1295,140,-223) -> Matrix(65,-3,412,-19) Matrix(482,-777,183,-295) -> Matrix(104,-5,1477,-71) Matrix(1259,-2035,709,-1146) -> Matrix(21,-1,337,-16) Matrix(1555,-2516,411,-665) -> Matrix(163,-8,1569,-77) Matrix(295,-481,46,-75) -> Matrix(61,-3,346,-17) Matrix(702,-1147,295,-482) -> Matrix(20,-1,241,-12) Matrix(1037,-1702,315,-517) -> Matrix(35,-2,403,-23) Matrix(593,-999,241,-406) -> Matrix(99,-5,1505,-76) Matrix(2256,-3811,811,-1370) -> Matrix(98,-5,1333,-68) Matrix(1072,-1813,285,-482) -> Matrix(98,-5,941,-48) Matrix(961,-1628,219,-371) -> Matrix(1,0,-11,1) Matrix(1592,-2701,501,-850) -> Matrix(58,-3,619,-32) Matrix(5253,-8917,1243,-2110) -> Matrix(435,-23,3707,-196) Matrix(630,-1073,347,-591) -> Matrix(20,-1,381,-19) Matrix(1886,-3219,781,-1333) -> Matrix(96,-5,1517,-79) Matrix(887,-1517,390,-667) -> Matrix(19,-1,286,-15) Matrix(517,-888,216,-371) -> Matrix(1,0,0,1) Matrix(665,-1147,258,-445) -> Matrix(23,-1,346,-15) Matrix(149,-259,42,-73) -> Matrix(19,-1,210,-11) Matrix(482,-851,209,-369) -> Matrix(56,-3,915,-49) Matrix(815,-1443,292,-517) -> Matrix(55,-3,752,-41) Matrix(2441,-4329,1002,-1777) -> Matrix(55,-3,862,-47) Matrix(519,-925,124,-221) -> Matrix(15,-1,136,-9) Matrix(850,-1517,353,-630) -> Matrix(20,-1,321,-16) Matrix(1925,-3441,786,-1405) -> Matrix(55,-3,862,-47) Matrix(2293,-4107,517,-926) -> Matrix(53,-3,495,-28) Matrix(184,-333,21,-38) -> Matrix(22,-1,89,-4) Matrix(223,-407,40,-73) -> Matrix(17,-1,120,-7) Matrix(221,-407,101,-186) -> Matrix(19,-1,305,-16) Matrix(334,-629,137,-258) -> Matrix(16,-1,257,-16) Matrix(223,-481,51,-110) -> Matrix(19,-1,153,-8) Matrix(630,-1369,289,-628) -> Matrix(52,-3,867,-50) Matrix(482,-1073,199,-443) -> Matrix(16,-1,241,-15) Matrix(295,-666,66,-149) -> Matrix(35,-2,298,-17) Matrix(1109,-2516,294,-667) -> Matrix(65,-4,634,-39) Matrix(517,-1184,162,-371) -> Matrix(1,0,-6,1) Matrix(593,-1369,256,-591) -> Matrix(81,-5,1280,-79) Matrix(2295,-5476,961,-2293) -> Matrix(1,0,25,1) Matrix(5107,-12321,2116,-5105) -> Matrix(305,-19,4864,-303) Matrix(776,-1887,183,-445) -> Matrix(50,-3,417,-25) Matrix(556,-1369,225,-554) -> Matrix(106,-7,1575,-104) Matrix(73,-185,15,-38) -> Matrix(13,-1,105,-8) Matrix(184,-481,57,-149) -> Matrix(14,-1,183,-13) Matrix(519,-1369,196,-517) -> Matrix(127,-9,1764,-125) Matrix(1775,-4773,537,-1444) -> Matrix(41,-3,465,-34) Matrix(1222,-3293,439,-1183) -> Matrix(40,-3,547,-41) Matrix(260,-703,27,-73) -> Matrix(66,-5,251,-19) Matrix(4552,-12321,1681,-4550) -> Matrix(378,-29,4901,-376) Matrix(295,-814,54,-149) -> Matrix(31,-2,202,-13) Matrix(961,-2664,294,-815) -> Matrix(113,-8,1342,-95) Matrix(223,-629,39,-110) -> Matrix(67,-5,429,-32) Matrix(482,-1369,169,-480) -> Matrix(144,-11,1859,-142) Matrix(3775,-12321,1156,-3773) -> Matrix(373,-31,4464,-371) Matrix(1592,-5217,361,-1183) -> Matrix(82,-7,621,-53) Matrix(10361,-34225,3136,-10359) -> Matrix(13,-1,144,-11) Matrix(408,-1369,121,-406) -> Matrix(166,-15,1815,-164) Matrix(371,-1369,100,-369) -> Matrix(171,-17,1700,-169) Matrix(184,-703,39,-149) -> Matrix(46,-5,359,-39) Matrix(852,-3589,193,-813) -> Matrix(26,-3,165,-19) Matrix(5181,-21904,1225,-5179) -> Matrix(1123,-132,9537,-1121) Matrix(2776,-12321,625,-2774) -> Matrix(118,-13,1053,-116) Matrix(297,-1369,64,-295) -> Matrix(169,-21,1344,-167) Matrix(260,-1369,49,-258) -> Matrix(162,-23,1127,-160) Matrix(186,-1369,25,-184) -> Matrix(136,-27,675,-134) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 1 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 1 Number of equivalence classes of cusps: 1 Genus: 0 Degree of H/liftables -> H/(image of liftables): 342 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 0/1 35 1 2/1 0/1 1 37 13/6 1/18 1 37 37/17 1/17 3 1 11/5 1/17 1 37 20/9 2/31 1 37 9/4 1/20 1 37 34/15 4/67 1 37 25/11 3/47 1 37 41/18 1/22 1 37 16/7 2/33 1 37 39/17 1/17 1 37 23/10 3/50 1 37 37/16 1/16 5 1 7/3 1/15 1 37 19/8 3/40 1 37 31/13 1/5 1 37 74/31 0/1 25 1 12/5 2/35 1 37 41/17 7/113 1 37 111/46 1/16 19 1 29/12 1/16 1 37 46/19 4/59 1 37 17/7 1/17 1 37 56/23 10/159 1 37 39/16 1/16 1 37 22/9 4/63 1 37 49/20 9/140 1 37 27/11 1/15 1 37 37/15 1/15 7 1 5/2 1/14 1 37 18/7 4/63 1 37 31/12 7/104 1 37 13/5 1/15 1 37 21/8 5/72 1 37 37/14 1/14 9 1 8/3 2/27 1 37 43/16 1/12 1 37 35/13 1/13 1 37 27/10 1/14 1 37 46/17 12/157 1 37 111/41 1/13 29 1 19/7 5/63 1 37 11/4 1/16 1 37 36/13 10/143 1 37 25/9 7/97 1 37 64/23 2/27 1 37 39/14 1/14 1 37 14/5 0/1 1 37 17/6 5/66 1 37 37/13 1/13 11 1 3/1 1/13 1 37 19/6 7/78 1 37 35/11 1/11 1 37 16/5 2/21 1 37 13/4 1/12 1 37 111/34 1/12 31 1 49/15 15/179 1 37 36/11 14/165 1 37 59/18 19/222 1 37 23/7 7/81 1 37 33/10 3/34 1 37 185/56 1/12 1 1 76/23 2/23 1 37 43/13 5/57 1 37 10/3 4/45 1 37 37/11 1/11 15 1 17/5 1/11 1 37 24/7 2/21 1 37 7/2 1/10 1 37 18/5 8/85 1 37 11/3 5/51 1 37 37/10 1/10 17 1 15/4 7/68 1 37 49/13 7/69 1 37 34/9 8/77 1 37 19/5 9/85 1 37 4/1 2/19 1 37 21/5 7/61 1 37 38/9 20/171 1 37 148/35 2/17 33 1 55/13 23/195 1 37 17/4 1/8 1 37 13/3 1/9 1 37 35/8 1/8 1 37 22/5 4/33 1 37 75/17 7/51 1 37 53/12 1/4 1 37 31/7 1/11 1 37 111/25 1/9 13 1 40/9 6/53 1 37 9/2 5/42 1 37 37/8 1/8 21 1 14/3 8/63 1 37 33/7 3/23 1 37 19/4 11/84 1 37 5/1 1/7 1 37 37/7 1/7 23 1 16/3 10/69 1 37 43/8 3/20 1 37 27/5 9/61 1 37 38/7 24/161 1 37 11/2 1/6 1 37 17/3 5/33 1 37 23/4 5/32 1 37 29/5 1/7 1 37 6/1 4/25 1 37 13/2 1/6 1 37 7/1 1/5 1 37 37/5 1/5 27 1 15/2 11/54 1 37 23/3 7/33 1 37 8/1 2/9 1 37 9/1 7/29 1 37 10/1 4/15 1 37 1/0 1/0 1 37 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(1,0,1,-1) (0/1,2/1) -> (0/1,2/1) Reflection Matrix(223,-481,51,-110) (2/1,13/6) -> (13/3,35/8) Hyperbolic Matrix(443,-962,204,-443) (13/6,37/17) -> (13/6,37/17) Reflection Matrix(186,-407,85,-186) (37/17,11/5) -> (37/17,11/5) Reflection Matrix(184,-407,33,-73) (11/5,20/9) -> (11/2,17/3) Glide Reflection Matrix(482,-1073,199,-443) (20/9,9/4) -> (46/19,17/7) Hyperbolic Matrix(295,-666,66,-149) (9/4,34/15) -> (40/9,9/2) Hyperbolic Matrix(1109,-2516,294,-667) (34/15,25/11) -> (49/13,34/9) Hyperbolic Matrix(667,-1517,277,-630) (25/11,41/18) -> (12/5,41/17) Glide Reflection Matrix(406,-925,97,-221) (41/18,16/7) -> (4/1,21/5) Glide Reflection Matrix(517,-1184,162,-371) (16/7,39/17) -> (35/11,16/5) Hyperbolic Matrix(628,-1443,225,-517) (39/17,23/10) -> (39/14,14/5) Glide Reflection Matrix(369,-851,160,-369) (23/10,37/16) -> (23/10,37/16) Reflection Matrix(223,-518,96,-223) (37/16,7/3) -> (37/16,7/3) Reflection Matrix(110,-259,31,-73) (7/3,19/8) -> (7/2,18/5) Glide Reflection Matrix(482,-1147,187,-445) (19/8,31/13) -> (18/7,31/12) Glide Reflection Matrix(1923,-4588,806,-1923) (31/13,74/31) -> (31/13,74/31) Reflection Matrix(371,-888,155,-371) (74/31,12/5) -> (74/31,12/5) Reflection Matrix(3773,-9102,1564,-3773) (41/17,111/46) -> (41/17,111/46) Reflection Matrix(1333,-3219,552,-1333) (111/46,29/12) -> (111/46,29/12) Reflection Matrix(260,-629,31,-75) (29/12,46/19) -> (8/1,9/1) Glide Reflection Matrix(776,-1887,183,-445) (17/7,56/23) -> (55/13,17/4) Hyperbolic Matrix(1109,-2701,349,-850) (56/23,39/16) -> (19/6,35/11) Glide Reflection Matrix(667,-1628,152,-371) (39/16,22/9) -> (35/8,22/5) Glide Reflection Matrix(741,-1813,197,-482) (22/9,49/20) -> (15/4,49/13) Glide Reflection Matrix(1555,-3811,559,-1370) (49/20,27/11) -> (25/9,64/23) Glide Reflection Matrix(406,-999,165,-406) (27/11,37/15) -> (27/11,37/15) Reflection Matrix(149,-370,60,-149) (37/15,5/2) -> (37/15,5/2) Reflection Matrix(73,-185,15,-38) (5/2,18/7) -> (19/4,5/1) Hyperbolic Matrix(186,-481,29,-75) (31/12,13/5) -> (6/1,13/2) Glide Reflection Matrix(184,-481,57,-149) (13/5,21/8) -> (16/5,13/4) Hyperbolic Matrix(295,-777,112,-295) (21/8,37/14) -> (21/8,37/14) Reflection Matrix(223,-592,84,-223) (37/14,8/3) -> (37/14,8/3) Reflection Matrix(482,-1295,83,-223) (8/3,43/16) -> (29/5,6/1) Glide Reflection Matrix(1775,-4773,537,-1444) (43/16,35/13) -> (76/23,43/13) Hyperbolic Matrix(1222,-3293,439,-1183) (35/13,27/10) -> (64/23,39/14) Hyperbolic Matrix(260,-703,27,-73) (27/10,46/17) -> (9/1,10/1) Hyperbolic Matrix(3773,-10212,1394,-3773) (46/17,111/41) -> (46/17,111/41) Reflection Matrix(778,-2109,287,-778) (111/41,19/7) -> (111/41,19/7) Reflection Matrix(149,-407,41,-112) (19/7,11/4) -> (18/5,11/3) Glide Reflection Matrix(295,-814,54,-149) (11/4,36/13) -> (38/7,11/2) Hyperbolic Matrix(961,-2664,294,-815) (36/13,25/9) -> (49/15,36/11) Hyperbolic Matrix(223,-629,39,-110) (14/5,17/6) -> (17/3,23/4) Hyperbolic Matrix(443,-1258,156,-443) (17/6,37/13) -> (17/6,37/13) Reflection Matrix(38,-111,13,-38) (37/13,3/1) -> (37/13,3/1) Reflection Matrix(223,-703,59,-186) (3/1,19/6) -> (34/9,19/5) Glide Reflection Matrix(443,-1443,136,-443) (13/4,111/34) -> (13/4,111/34) Reflection Matrix(3331,-10878,1020,-3331) (111/34,49/15) -> (111/34,49/15) Reflection Matrix(1592,-5217,361,-1183) (36/11,59/18) -> (22/5,75/17) Hyperbolic Matrix(519,-1702,68,-223) (59/18,23/7) -> (15/2,23/3) Glide Reflection Matrix(371,-1221,79,-260) (23/7,33/10) -> (14/3,33/7) Glide Reflection Matrix(1849,-6105,560,-1849) (33/10,185/56) -> (33/10,185/56) Reflection Matrix(8511,-28120,2576,-8511) (185/56,76/23) -> (185/56,76/23) Reflection Matrix(480,-1591,89,-295) (43/13,10/3) -> (43/8,27/5) Glide Reflection Matrix(221,-740,66,-221) (10/3,37/11) -> (10/3,37/11) Reflection Matrix(186,-629,55,-186) (37/11,17/5) -> (37/11,17/5) Reflection Matrix(184,-629,43,-147) (17/5,24/7) -> (17/4,13/3) Glide Reflection Matrix(75,-259,11,-38) (24/7,7/2) -> (13/2,7/1) Glide Reflection Matrix(221,-814,60,-221) (11/3,37/10) -> (11/3,37/10) Reflection Matrix(149,-555,40,-149) (37/10,15/4) -> (37/10,15/4) Reflection Matrix(184,-703,39,-149) (19/5,4/1) -> (33/7,19/4) Hyperbolic Matrix(852,-3589,193,-813) (21/5,38/9) -> (75/17,53/12) Hyperbolic Matrix(1331,-5624,315,-1331) (38/9,148/35) -> (38/9,148/35) Reflection Matrix(3849,-16280,910,-3849) (148/35,55/13) -> (148/35,55/13) Reflection Matrix(628,-2775,117,-517) (53/12,31/7) -> (16/3,43/8) Glide Reflection Matrix(776,-3441,175,-776) (31/7,111/25) -> (31/7,111/25) Reflection Matrix(1999,-8880,450,-1999) (111/25,40/9) -> (111/25,40/9) Reflection Matrix(73,-333,16,-73) (9/2,37/8) -> (9/2,37/8) Reflection Matrix(223,-1036,48,-223) (37/8,14/3) -> (37/8,14/3) Reflection Matrix(36,-185,7,-36) (5/1,37/7) -> (5/1,37/7) Reflection Matrix(223,-1184,42,-223) (37/7,16/3) -> (37/7,16/3) Reflection Matrix(75,-407,7,-38) (27/5,38/7) -> (10/1,1/0) Glide Reflection Matrix(147,-851,19,-110) (23/4,29/5) -> (23/3,8/1) Glide Reflection Matrix(36,-259,5,-36) (7/1,37/5) -> (7/1,37/5) Reflection Matrix(149,-1110,20,-149) (37/5,15/2) -> (37/5,15/2) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Matrix(1,0,1,-1) -> Matrix(1,0,35,-1) (0/1,2/1) -> (0/1,2/35) Matrix(223,-481,51,-110) -> Matrix(19,-1,153,-8) Matrix(443,-962,204,-443) -> Matrix(35,-2,612,-35) (13/6,37/17) -> (1/18,1/17) Matrix(186,-407,85,-186) -> Matrix(16,-1,255,-16) (37/17,11/5) -> (1/17,1/15) Matrix(184,-407,33,-73) -> Matrix(18,-1,125,-7) Matrix(482,-1073,199,-443) -> Matrix(16,-1,241,-15) (1/16,1/14).(0/1,2/31).(1/17,1/15) Matrix(295,-666,66,-149) -> Matrix(35,-2,298,-17) Matrix(1109,-2516,294,-667) -> Matrix(65,-4,634,-39) Matrix(667,-1517,277,-630) -> Matrix(15,-1,239,-16) Matrix(406,-925,97,-221) -> Matrix(20,-1,179,-9) Matrix(517,-1184,162,-371) -> Matrix(1,0,-6,1) 0/1 Matrix(628,-1443,225,-517) -> Matrix(50,-3,683,-41) Matrix(369,-851,160,-369) -> Matrix(49,-3,800,-49) (23/10,37/16) -> (3/50,1/16) Matrix(223,-518,96,-223) -> Matrix(31,-2,480,-31) (37/16,7/3) -> (1/16,1/15) Matrix(110,-259,31,-73) -> Matrix(16,-1,175,-11) Matrix(482,-1147,187,-445) -> Matrix(12,-1,179,-15) Matrix(1923,-4588,806,-1923) -> Matrix(1,0,10,-1) (31/13,74/31) -> (0/1,1/5) Matrix(371,-888,155,-371) -> Matrix(1,0,35,-1) (74/31,12/5) -> (0/1,2/35) Matrix(3773,-9102,1564,-3773) -> Matrix(225,-14,3616,-225) (41/17,111/46) -> (7/113,1/16) Matrix(1333,-3219,552,-1333) -> Matrix(79,-5,1248,-79) (111/46,29/12) -> (1/16,5/78) Matrix(260,-629,31,-75) -> Matrix(46,-3,199,-13) Matrix(776,-1887,183,-445) -> Matrix(50,-3,417,-25) Matrix(1109,-2701,349,-850) -> Matrix(47,-3,501,-32) Matrix(667,-1628,152,-371) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(741,-1813,197,-482) -> Matrix(77,-5,739,-48) Matrix(1555,-3811,559,-1370) -> Matrix(77,-5,1047,-68) Matrix(406,-999,165,-406) -> Matrix(76,-5,1155,-76) (27/11,37/15) -> (5/77,1/15) Matrix(149,-370,60,-149) -> Matrix(29,-2,420,-29) (37/15,5/2) -> (1/15,1/14) Matrix(73,-185,15,-38) -> Matrix(13,-1,105,-8) Matrix(186,-481,29,-75) -> Matrix(44,-3,249,-17) Matrix(184,-481,57,-149) -> Matrix(14,-1,183,-13) (1/14,1/12).(0/1,2/27).(1/15,1/13) Matrix(295,-777,112,-295) -> Matrix(71,-5,1008,-71) (21/8,37/14) -> (5/72,1/14) Matrix(223,-592,84,-223) -> Matrix(55,-4,756,-55) (37/14,8/3) -> (1/14,2/27) Matrix(482,-1295,83,-223) -> Matrix(40,-3,253,-19) Matrix(1775,-4773,537,-1444) -> Matrix(41,-3,465,-34) Matrix(1222,-3293,439,-1183) -> Matrix(40,-3,547,-41) (0/1,2/27).(1/14,3/40).(3/41,1/13) Matrix(260,-703,27,-73) -> Matrix(66,-5,251,-19) Matrix(3773,-10212,1394,-3773) -> Matrix(313,-24,4082,-313) (46/17,111/41) -> (12/157,1/13) Matrix(778,-2109,287,-778) -> Matrix(64,-5,819,-64) (111/41,19/7) -> (1/13,5/63) Matrix(149,-407,41,-112) -> Matrix(11,-1,109,-10) Matrix(295,-814,54,-149) -> Matrix(31,-2,202,-13) Matrix(961,-2664,294,-815) -> Matrix(113,-8,1342,-95) Matrix(223,-629,39,-110) -> Matrix(67,-5,429,-32) Matrix(443,-1258,156,-443) -> Matrix(131,-10,1716,-131) (17/6,37/13) -> (5/66,1/13) Matrix(38,-111,13,-38) -> Matrix(12,-1,143,-12) (37/13,3/1) -> (1/13,1/11) Matrix(223,-703,59,-186) -> Matrix(57,-5,547,-48) Matrix(443,-1443,136,-443) -> Matrix(13,-1,168,-13) (13/4,111/34) -> (1/14,1/12) Matrix(3331,-10878,1020,-3331) -> Matrix(359,-30,4296,-359) (111/34,49/15) -> (1/12,15/179) Matrix(1592,-5217,361,-1183) -> Matrix(82,-7,621,-53) Matrix(519,-1702,68,-223) -> Matrix(163,-14,780,-67) Matrix(371,-1221,79,-260) -> Matrix(103,-9,801,-70) Matrix(1849,-6105,560,-1849) -> Matrix(35,-3,408,-35) (33/10,185/56) -> (1/12,3/34) Matrix(8511,-28120,2576,-8511) -> Matrix(47,-4,552,-47) (185/56,76/23) -> (1/12,2/23) Matrix(480,-1591,89,-295) -> Matrix(126,-11,859,-75) Matrix(221,-740,66,-221) -> Matrix(89,-8,990,-89) (10/3,37/11) -> (4/45,1/11) Matrix(186,-629,55,-186) -> Matrix(76,-7,825,-76) (37/11,17/5) -> (1/11,7/75) Matrix(184,-629,43,-147) -> Matrix(10,-1,69,-7) Matrix(75,-259,11,-38) -> Matrix(31,-3,165,-16) Matrix(221,-814,60,-221) -> Matrix(101,-10,1020,-101) (11/3,37/10) -> (5/51,1/10) Matrix(149,-555,40,-149) -> Matrix(69,-7,680,-69) (37/10,15/4) -> (1/10,7/68) Matrix(184,-703,39,-149) -> Matrix(46,-5,359,-39) Matrix(852,-3589,193,-813) -> Matrix(26,-3,165,-19) Matrix(1331,-5624,315,-1331) -> Matrix(341,-40,2907,-341) (38/9,148/35) -> (20/171,2/17) Matrix(3849,-16280,910,-3849) -> Matrix(781,-92,6630,-781) (148/35,55/13) -> (2/17,23/195) Matrix(628,-2775,117,-517) -> Matrix(14,-1,97,-7) Matrix(776,-3441,175,-776) -> Matrix(10,-1,99,-10) (31/7,111/25) -> (1/11,1/9) Matrix(1999,-8880,450,-1999) -> Matrix(107,-12,954,-107) (111/25,40/9) -> (1/9,6/53) Matrix(73,-333,16,-73) -> Matrix(41,-5,336,-41) (9/2,37/8) -> (5/42,1/8) Matrix(223,-1036,48,-223) -> Matrix(127,-16,1008,-127) (37/8,14/3) -> (1/8,8/63) Matrix(36,-185,7,-36) -> Matrix(22,-3,161,-22) (5/1,37/7) -> (3/23,1/7) Matrix(223,-1184,42,-223) -> Matrix(139,-20,966,-139) (37/7,16/3) -> (1/7,10/69) Matrix(75,-407,7,-38) -> Matrix(47,-7,161,-24) Matrix(147,-851,19,-110) -> Matrix(5,-1,19,-4) Matrix(36,-259,5,-36) -> Matrix(26,-5,135,-26) (7/1,37/5) -> (5/27,1/5) Matrix(149,-1110,20,-149) -> Matrix(109,-22,540,-109) (37/5,15/2) -> (1/5,11/54) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.