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): 4032 Minimal number of generators: 673 Number of equivalence classes of cusps: 144 Genus: 265 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/1 -26/3 -15/2 -27/4 -33/5 -13/2 -6/1 -45/8 -27/5 -26/5 -24/5 -9/2 -13/3 -30/7 -21/5 -26/7 -18/5 -36/11 -13/4 -3/1 -26/9 -13/5 -26/11 -13/6 -15/7 -13/7 -13/8 -3/2 -13/9 -13/10 -39/31 -13/11 -39/34 0/1 1/1 13/11 39/32 13/10 39/28 195/136 13/9 3/2 39/25 117/74 13/8 507/311 195/119 39/23 117/68 39/22 13/7 2/1 15/7 13/6 78/35 39/17 26/11 312/131 117/49 12/5 390/161 39/16 5/2 130/51 195/76 13/5 507/194 234/89 156/59 78/29 117/43 39/14 26/9 3/1 13/4 36/11 234/71 195/59 91/27 78/23 7/2 39/11 390/109 18/5 91/25 26/7 4/1 21/5 156/37 30/7 13/3 9/2 78/17 37/8 65/14 14/3 43/9 24/5 130/27 34/7 39/8 5/1 26/5 21/4 37/7 16/3 27/5 65/12 11/2 39/7 28/5 45/8 17/3 23/4 29/5 35/6 6/1 31/5 25/4 19/3 32/5 13/2 33/5 20/3 27/4 7/1 29/4 22/3 15/2 38/5 23/3 31/4 39/5 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 0/1 -10/1 5/1 -9/1 -4/1 -2/1 -26/3 -3/1 -1/1 -17/2 1/0 -8/1 -1/1 -23/3 0/1 -15/2 -1/2 1/0 -22/3 -1/3 -7/1 0/1 -27/4 1/2 1/0 -20/3 5/3 -53/8 1/0 -33/5 2/1 4/1 -13/2 1/0 -19/3 -10/3 -25/4 1/0 -6/1 -3/1 -1/1 -35/6 -7/4 -29/5 -8/5 -52/9 -1/1 -23/4 -3/2 -40/7 -1/1 -17/3 -2/1 -45/8 -3/2 -5/4 -28/5 -1/1 -39/7 -1/1 -11/2 -1/2 -27/5 -2/3 0/1 -16/3 -1/3 -21/4 1/2 1/0 -47/9 0/1 -26/5 -1/1 1/1 -31/6 1/0 -5/1 0/1 -29/6 -7/2 -53/11 -2/1 -24/5 -3/1 -1/1 -43/9 -4/1 -19/4 -7/4 -33/7 -2/3 0/1 -14/3 -3/1 -37/8 1/0 -23/5 -2/1 -32/7 -3/1 -41/9 -2/1 -9/2 -3/2 1/0 -40/9 -1/1 -31/7 0/1 -84/19 -3/1 -1/1 -53/12 1/0 -22/5 -5/3 -79/18 -3/2 -57/13 -10/7 -4/3 -92/21 -1/1 -35/8 -5/4 -13/3 -1/1 -43/10 -1/2 -73/17 0/1 -30/7 -1/1 -3/5 -17/4 1/0 -38/9 -1/1 -59/14 -13/14 -21/5 -2/3 0/1 -25/6 -1/2 -29/7 -2/1 -4/1 -1/1 -27/7 -2/1 0/1 -23/6 1/0 -19/5 -4/5 -34/9 -1/3 -49/13 2/1 -113/30 1/2 -64/17 1/1 -79/21 0/1 -15/4 -1/2 1/0 -56/15 1/1 -41/11 0/1 -26/7 -1/1 1/1 -37/10 1/0 -11/3 -2/1 -40/11 -1/1 -29/8 -5/6 -18/5 -1/1 1/1 -79/22 1/0 -61/17 -2/1 -104/29 -3/1 -1/1 -43/12 1/0 -68/19 -7/5 -161/45 -4/5 -93/26 -3/2 1/0 -25/7 -2/1 -57/16 -3/2 1/0 -89/25 -4/3 -32/9 -1/1 -39/11 -1/1 -7/2 -1/2 -38/11 -1/1 -31/9 0/1 -55/16 -3/4 -79/23 -2/3 -24/7 -1/1 -3/5 -41/12 -1/2 -17/5 0/1 -44/13 -1/1 -71/21 0/1 -27/8 -1/2 -1/4 -37/11 0/1 -121/36 1/4 -84/25 -1/1 1/1 -47/14 -1/2 -57/17 -2/5 0/1 -10/3 1/1 -43/13 -2/3 -119/36 -1/2 -195/59 -1/2 -76/23 -7/15 -33/10 -1/2 -1/4 -89/27 0/1 -56/17 -1/3 -79/24 -1/2 -23/7 0/1 -36/11 -1/3 -1/5 -13/4 0/1 -42/13 1/3 1/1 -71/22 1/2 -29/9 2/1 -74/23 1/1 -45/14 1/2 1/0 -61/19 2/1 -77/24 1/0 -16/5 1/1 -35/11 -2/3 -19/6 -1/6 -22/7 1/3 -25/8 1/0 -3/1 -2/1 0/1 -26/9 -1/1 -23/8 -1/2 -20/7 -1/7 -17/6 1/0 -48/17 -1/1 -3/5 -31/11 0/1 -14/5 -1/5 -39/14 0/1 -25/9 0/1 -86/31 1/7 -61/22 1/6 -36/13 1/5 1/3 -11/4 1/2 -41/15 0/1 -30/11 -1/1 1/1 -79/29 0/1 -49/18 -1/8 -117/43 0/1 -68/25 1/15 -19/7 2/7 -65/24 1/2 -111/41 4/7 2/3 -157/58 1/2 -46/17 1/1 -27/10 1/2 3/4 -35/13 4/5 -8/3 1/1 -53/20 1/0 -45/17 0/1 2/1 -82/31 1/1 -37/14 1/0 -29/11 4/1 -79/30 1/0 -50/19 -1/1 -121/46 1/0 -71/27 0/1 -92/35 -1/1 -21/8 1/2 1/0 -97/37 12/11 -76/29 7/5 -55/21 2/1 -89/34 1/0 -123/47 2/1 4/1 -34/13 1/1 -13/5 1/0 -44/17 -3/1 -119/46 1/0 -313/121 -4/1 -507/196 -3/1 -194/75 -3/1 -75/29 -4/1 -2/1 -31/12 1/0 -18/7 -1/1 1/1 -77/30 1/0 -136/53 21/1 -195/76 1/0 -59/23 -10/1 -41/16 1/0 -23/9 -2/1 -51/20 -3/2 1/0 -28/11 -1/1 -33/13 -2/1 0/1 -5/2 -1/2 -27/11 -2/7 0/1 -49/20 -3/16 -71/29 0/1 -22/9 -1/9 -39/16 0/1 -17/7 0/1 -63/26 1/4 1/2 -172/71 1/5 -109/45 0/1 -46/19 1/3 -121/50 1/2 -196/81 1/3 -75/31 0/1 2/5 -104/43 1/3 -29/12 1/0 -41/17 0/1 -12/5 1/3 1/1 -67/28 1/2 -55/23 0/1 -43/18 1/2 -117/49 1/2 -74/31 1/1 -31/13 0/1 -81/34 1/4 1/2 -131/55 0/1 -50/21 1/3 -69/29 0/1 2/5 -19/8 5/8 -45/19 4/5 6/7 -26/11 1/1 -33/14 3/2 1/0 -40/17 1/1 -7/3 2/1 -30/13 1/1 3/1 -83/36 5/2 -53/23 4/1 -23/10 1/0 -39/17 1/0 -16/7 -5/1 -41/18 1/0 -25/11 -2/1 -34/15 -3/1 -111/49 -2/1 0/1 -77/34 1/0 -120/53 -3/1 -1/1 -43/19 -2/1 -52/23 -3/1 -1/1 -9/4 -3/2 1/0 -29/13 -10/9 -20/9 -7/9 -51/23 -2/3 0/1 -31/14 -1/2 -11/5 0/1 -46/21 -1/3 -35/16 -1/2 -24/11 -1/3 -1/5 -13/6 0/1 -28/13 1/5 -43/20 1/4 -15/7 0/1 2/5 -17/8 1/2 -19/9 8/9 -2/1 -1/1 -19/10 9/8 -17/9 2/1 -15/8 5/2 1/0 -43/23 4/1 -28/15 5/1 -13/7 1/0 -50/27 -7/1 -37/20 1/0 -24/13 -5/1 -3/1 -35/19 -2/1 -46/25 -3/1 -11/6 1/0 -42/23 -5/3 -1/1 -73/40 -3/2 -31/17 -2/1 -51/28 -3/2 1/0 -20/11 -9/7 -49/27 -18/17 -78/43 -1/1 -29/16 -9/10 -38/21 -1/1 -9/5 -2/3 0/1 -52/29 -1/1 -1/3 -43/24 -1/2 -120/67 -1/1 -1/3 -77/43 0/1 -34/19 -1/3 -59/33 -4/5 -25/14 -1/2 -91/51 -1/3 -157/88 -1/4 -66/37 -1/3 -1/5 -41/23 0/1 -57/32 -1/2 1/0 -16/9 -1/5 -39/22 0/1 -23/13 0/1 -76/43 3/13 -53/30 1/4 -136/77 7/25 -83/47 2/5 -30/17 1/3 1/1 -37/21 0/1 -7/4 1/2 -40/23 1/1 -73/42 1/0 -33/19 0/1 2/3 -26/15 1/1 -45/26 7/6 5/4 -19/11 8/5 -69/40 5/2 1/0 -119/69 2/1 -50/29 3/1 -181/105 2/1 -312/181 1/1 3/1 -131/76 1/0 -81/47 2/1 4/1 -31/18 1/0 -105/61 0/1 2/1 -74/43 1/1 -117/68 2/1 -43/25 2/1 -141/82 1/2 1/0 -239/139 6/5 -98/57 9/5 -55/32 1/0 -12/7 1/1 3/1 -77/45 2/1 -65/38 3/1 -53/31 4/1 -41/24 1/0 -29/17 0/1 -104/61 3/1 -75/44 5/2 1/0 -196/115 3/1 -121/71 2/1 -46/27 3/1 -109/64 1/0 -390/229 3/1 5/1 -281/165 4/1 -172/101 5/1 -63/37 2/1 4/1 -17/10 1/0 -39/23 1/0 -22/13 -9/1 -49/29 -16/3 -27/16 -7/2 1/0 -32/19 -3/1 -5/3 -2/1 -43/26 1/0 -38/23 -1/1 -33/20 -1/2 1/0 -28/17 -1/1 -79/48 -1/2 -130/79 -1/1 -1/3 -51/31 -2/3 0/1 -23/14 -1/2 -41/25 0/1 -100/61 -1/1 -59/36 -1/10 -195/119 0/1 -136/83 1/21 -77/47 0/1 -18/11 -1/1 1/1 -49/30 -5/6 -129/79 -2/3 -4/7 -338/207 -1/1 -3/5 -209/128 -1/2 -80/49 -5/9 -31/19 0/1 -13/8 0/1 -47/29 0/1 -81/50 1/2 1/0 -196/121 1/1 -507/313 1/1 -311/192 1/0 -115/71 0/1 -34/21 1/1 -157/97 0/1 -123/76 1/4 1/2 -89/55 0/1 -233/144 1/2 -144/89 1/3 1/1 -55/34 1/2 -131/81 2/3 -76/47 5/7 -97/60 11/12 -21/13 0/1 2/1 -92/57 -1/1 -163/101 0/1 -234/145 -1/1 1/1 -71/44 1/0 -192/119 -1/1 1/1 -121/75 0/1 -50/31 -1/1 -129/80 -1/2 1/0 -208/129 -1/1 -1/3 -79/49 0/1 -29/18 1/4 -37/23 0/1 -156/97 1/3 1/1 -119/74 1/2 -82/51 1/1 -45/28 1/2 1/0 -53/33 0/1 -8/5 1/1 -43/27 4/5 -78/49 1/1 -35/22 5/4 -62/39 5/3 -27/17 4/3 2/1 -73/46 1/0 -192/121 1/1 3/1 -311/196 1/0 -119/75 2/1 -46/29 1/1 -19/12 7/2 -87/55 6/1 8/1 -68/43 15/1 -117/74 1/0 -49/31 -8/1 -79/50 1/0 -188/119 -3/1 -109/69 -2/1 -30/19 -1/1 1/1 -71/45 0/1 -112/71 1/1 -41/26 1/0 -11/7 2/1 -47/30 1/0 -83/53 4/1 -36/23 3/1 5/1 -61/39 6/1 -25/16 1/0 -39/25 1/0 -14/9 -5/1 -45/29 -8/3 -2/1 -31/20 1/0 -17/11 0/1 -37/24 1/0 -20/13 -7/1 -63/41 -8/3 -2/1 -43/28 1/0 -23/15 -2/1 -26/17 -1/1 -3/2 -1/2 1/0 -22/15 3/1 -19/13 -6/1 -35/24 -3/2 -16/11 1/1 -45/31 0/1 2/1 -74/51 1/1 -29/20 1/2 -13/9 1/0 -49/34 -11/2 -85/59 -4/1 -121/84 1/0 -36/25 -5/1 -3/1 -95/66 -7/2 -59/41 -14/5 -23/16 1/0 -79/55 -2/1 -56/39 -3/1 -145/101 -2/1 -234/163 -3/1 -1/1 -89/62 1/0 -33/23 -4/1 -2/1 -76/53 -15/7 -195/136 -2/1 -119/83 -2/1 -43/30 -3/2 -10/7 1/1 -67/47 -4/1 -57/40 -5/2 1/0 -47/33 -2/1 -84/59 -1/1 1/1 -37/26 1/0 -64/45 -5/1 -155/109 -4/1 -91/64 -3/1 -27/19 -4/1 -2/1 -71/50 1/0 -115/81 -2/1 -44/31 -1/1 -61/43 -2/1 -78/55 -3/1 -1/1 -17/12 1/0 -58/41 -15/7 -99/70 -7/4 -3/2 -41/29 -2/1 -106/75 -3/1 -65/46 -2/1 -24/17 -5/3 -1/1 -103/73 -2/1 -182/129 -5/3 -1/1 -79/56 -3/2 -55/39 -4/3 -86/61 -1/1 -117/83 -1/1 -31/22 1/0 -38/27 -1/1 -7/5 -2/1 -39/28 -1/1 -32/23 -1/1 -89/64 -3/4 -57/41 -2/3 0/1 -25/18 -1/2 -93/67 -2/3 0/1 -161/116 -5/4 -390/281 -1/1 -229/165 -10/11 -68/49 -5/7 -43/31 0/1 -104/75 -1/1 -1/3 -61/44 -1/2 -79/57 0/1 -18/13 -1/1 1/1 -47/34 1/0 -123/89 -8/3 -2/1 -76/55 -9/5 -181/131 -2/1 -286/207 -5/3 -1/1 -105/76 -7/4 -3/2 -29/21 -6/5 -69/50 -3/4 -1/2 -40/29 -1/1 -131/95 -2/3 -91/66 -1/1 -51/37 -2/3 0/1 -11/8 -1/2 -37/27 0/1 -26/19 -1/1 1/1 -41/30 1/0 -97/71 -8/1 -56/41 1/1 -15/11 -2/1 0/1 -94/69 1/1 -79/58 1/0 -64/47 1/1 -49/36 1/2 -83/61 4/1 -117/86 1/0 -34/25 -3/1 -53/39 -2/1 -19/14 -5/4 -61/45 -2/3 -42/31 -1/1 -1/3 -23/17 0/1 -27/20 -1/2 1/0 -31/23 0/1 -4/3 -1/1 -29/22 -1/2 -25/19 -2/1 -21/16 -3/2 1/0 -59/45 -14/13 -156/119 -1/1 -97/74 -19/20 -38/29 -1/1 -17/13 0/1 -47/36 1/0 -124/95 -3/1 -77/59 -2/1 -30/23 -5/3 -1/1 -13/10 -1/1 -48/37 -1/1 -7/9 -83/64 -5/6 -118/91 -1/1 -35/27 -4/5 -92/71 -1/1 -57/44 -3/4 -7/10 -136/105 -25/37 -79/61 -2/3 -22/17 -3/5 -75/58 -1/2 -1/4 -53/41 0/1 -31/24 1/0 -40/31 -1/1 -9/7 -2/3 0/1 -50/39 -1/1 -41/32 -1/2 -155/121 0/1 -114/89 -1/1 -1/3 -73/57 0/1 -32/25 -1/3 -55/43 0/1 -78/61 -1/1 -1/3 -23/18 -1/2 -37/29 0/1 -51/40 -1/2 1/0 -65/51 -1/1 -79/62 -1/2 -14/11 -1/3 -47/37 0/1 -80/63 5/1 -33/26 -3/2 1/0 -19/15 -4/7 -43/34 -1/4 -24/19 -1/1 -1/3 -77/61 0/1 -130/103 -1/1 -1/3 -53/42 -1/2 -29/23 -2/7 -34/27 -1/7 -39/31 0/1 -5/4 1/0 -31/25 0/1 -26/21 -1/1 1/1 -47/38 1/0 -21/17 0/1 2/1 -79/64 1/0 -58/47 -9/1 -37/30 1/0 -16/13 -3/1 -43/35 -4/3 -27/22 -3/2 1/0 -65/53 -1/1 -103/84 -3/2 -38/31 -1/1 -11/9 -2/1 -39/32 -1/1 -28/23 -1/1 -45/37 -4/5 -2/3 -62/51 -1/1 -141/116 -3/4 -7/10 -79/65 -2/3 -17/14 -1/2 -40/33 -1/1 -103/85 -2/3 -63/52 -3/4 -1/2 -23/19 -2/3 -52/43 -1/1 -29/24 -5/8 -64/53 -3/5 -35/29 -4/7 -41/34 -1/2 -6/5 -1/1 -1/3 -31/26 1/0 -25/21 0/1 -19/16 -3/10 -32/27 -1/5 -13/11 0/1 -46/39 1/5 -79/67 0/1 -33/28 1/4 1/2 -53/45 0/1 -73/62 3/10 -93/79 4/11 2/5 -20/17 3/5 -27/23 0/1 2/1 -7/6 1/0 -29/25 2/3 -22/19 -3/1 -15/13 -2/1 0/1 -53/46 1/0 -38/33 -1/1 -23/20 1/0 -31/27 -4/3 -39/34 -1/1 -8/7 -1/1 -25/22 -1/2 -17/15 0/1 -26/23 -1/1 -1/3 -9/8 -1/2 -1/4 -19/17 -2/13 -10/9 1/5 -21/19 0/1 2/3 -11/10 1/0 -12/11 -1/1 1/1 -1/1 0/1 0/1 -1/1 1/1 1/1 0/1 11/10 1/0 10/9 -1/5 9/8 1/4 1/2 26/23 1/3 1/1 17/15 0/1 8/7 1/1 23/20 1/0 15/13 0/1 2/1 22/19 3/1 7/6 1/0 27/23 -2/1 0/1 20/17 -3/5 53/45 0/1 33/28 -1/2 -1/4 13/11 0/1 19/16 3/10 25/21 0/1 6/5 1/3 1/1 35/29 4/7 29/24 5/8 52/43 1/1 23/19 2/3 40/33 1/1 17/14 1/2 45/37 2/3 4/5 28/23 1/1 39/32 1/1 11/9 2/1 27/22 3/2 1/0 16/13 3/1 21/17 -2/1 0/1 47/38 1/0 26/21 -1/1 1/1 31/25 0/1 5/4 1/0 29/23 2/7 53/42 1/2 24/19 1/3 1/1 43/34 1/4 19/15 4/7 33/26 3/2 1/0 14/11 1/3 37/29 0/1 23/18 1/2 32/25 1/3 41/32 1/2 9/7 0/1 2/3 40/31 1/1 31/24 1/0 84/65 1/3 1/1 53/41 0/1 22/17 3/5 79/61 2/3 57/44 7/10 3/4 92/71 1/1 35/27 4/5 13/10 1/1 43/33 2/1 73/56 1/0 30/23 1/1 5/3 17/13 0/1 38/29 1/1 59/45 14/13 21/16 3/2 1/0 25/19 2/1 29/22 1/2 4/3 1/1 27/20 1/2 1/0 23/17 0/1 19/14 5/4 34/25 3/1 49/36 -1/2 113/83 -2/1 64/47 -1/1 79/58 1/0 15/11 0/1 2/1 56/41 -1/1 41/30 1/0 26/19 -1/1 1/1 37/27 0/1 11/8 1/2 40/29 1/1 29/21 6/5 18/13 -1/1 1/1 79/57 0/1 61/44 1/2 104/75 1/3 1/1 43/31 0/1 68/49 5/7 161/116 5/4 93/67 0/1 2/3 25/18 1/2 57/41 0/1 2/3 89/64 3/4 32/23 1/1 39/28 1/1 7/5 2/1 38/27 1/1 31/22 1/0 55/39 4/3 79/56 3/2 24/17 1/1 5/3 41/29 2/1 17/12 1/0 44/31 1/1 71/50 1/0 27/19 2/1 4/1 37/26 1/0 121/85 -4/1 84/59 -1/1 1/1 47/33 2/1 57/40 5/2 1/0 10/7 -1/1 43/30 3/2 119/83 2/1 195/136 2/1 76/53 15/7 33/23 2/1 4/1 89/62 1/0 56/39 3/1 79/55 2/1 23/16 1/0 36/25 3/1 5/1 13/9 1/0 42/29 -3/1 -1/1 71/49 -2/1 29/20 -1/2 74/51 -1/1 45/31 -2/1 0/1 61/42 -1/2 77/53 0/1 16/11 -1/1 35/24 3/2 19/13 6/1 22/15 -3/1 25/17 0/1 3/2 1/2 1/0 26/17 1/1 23/15 2/1 20/13 7/1 17/11 0/1 48/31 1/1 5/3 31/20 1/0 14/9 5/1 39/25 1/0 25/16 1/0 86/55 -7/1 61/39 -6/1 36/23 -5/1 -3/1 11/7 -2/1 41/26 1/0 30/19 -1/1 1/1 79/50 1/0 49/31 8/1 117/74 1/0 68/43 -15/1 19/12 -7/2 65/41 -2/1 111/70 -7/4 -3/2 157/99 -2/1 46/29 -1/1 27/17 -2/1 -4/3 35/22 -5/4 8/5 -1/1 53/33 0/1 45/28 -1/2 1/0 82/51 -1/1 37/23 0/1 29/18 -1/4 79/49 0/1 50/31 1/1 121/75 0/1 71/44 1/0 92/57 1/1 21/13 -2/1 0/1 97/60 -11/12 76/47 -5/7 55/34 -1/2 89/55 0/1 123/76 -1/2 -1/4 34/21 -1/1 13/8 0/1 44/27 1/3 119/73 0/1 313/192 1/4 507/311 1/3 194/119 1/3 75/46 1/4 1/2 31/19 0/1 18/11 -1/1 1/1 77/47 0/1 136/83 -1/21 195/119 0/1 59/36 1/10 41/25 0/1 23/14 1/2 51/31 0/1 2/3 28/17 1/1 33/20 1/2 1/0 5/3 2/1 27/16 7/2 1/0 49/29 16/3 71/42 1/0 22/13 9/1 39/23 1/0 17/10 1/0 63/37 -4/1 -2/1 172/101 -5/1 109/64 1/0 46/27 -3/1 121/71 -2/1 196/115 -3/1 75/44 -5/2 1/0 104/61 -3/1 29/17 0/1 41/24 1/0 12/7 -3/1 -1/1 67/39 -2/1 55/32 1/0 43/25 -2/1 117/68 -2/1 74/43 -1/1 31/18 1/0 81/47 -4/1 -2/1 131/76 1/0 50/29 -3/1 69/40 -5/2 1/0 19/11 -8/5 45/26 -5/4 -7/6 26/15 -1/1 33/19 -2/3 0/1 40/23 -1/1 7/4 -1/2 30/17 -1/1 -1/3 83/47 -2/5 53/30 -1/4 23/13 0/1 39/22 0/1 16/9 1/5 41/23 0/1 25/14 1/2 34/19 1/3 111/62 1/2 1/0 77/43 0/1 120/67 1/3 1/1 43/24 1/2 52/29 1/3 1/1 9/5 0/1 2/3 29/16 9/10 20/11 9/7 51/28 3/2 1/0 31/17 2/1 11/6 1/0 46/25 3/1 35/19 2/1 24/13 3/1 5/1 13/7 1/0 28/15 -5/1 43/23 -4/1 15/8 -5/2 1/0 17/9 -2/1 19/10 -9/8 2/1 1/1 19/9 -8/9 17/8 -1/2 15/7 -2/5 0/1 43/20 -1/4 28/13 -1/5 13/6 0/1 50/23 1/7 37/17 0/1 24/11 1/5 1/3 35/16 1/2 46/21 1/3 11/5 0/1 42/19 3/5 1/1 73/33 2/3 31/14 1/2 51/23 0/1 2/3 20/9 7/9 49/22 17/18 78/35 1/1 29/13 10/9 38/17 1/1 9/4 3/2 1/0 52/23 1/1 3/1 43/19 2/1 120/53 1/1 3/1 77/34 1/0 34/15 3/1 59/26 5/4 25/11 2/1 91/40 3/1 157/69 4/1 66/29 3/1 5/1 41/18 1/0 57/25 0/1 2/1 16/7 5/1 39/17 1/0 23/10 1/0 76/33 -13/3 53/23 -4/1 136/59 -25/7 83/36 -5/2 30/13 -3/1 -1/1 37/16 1/0 7/3 -2/1 40/17 -1/1 73/31 0/1 33/14 -3/2 1/0 26/11 -1/1 45/19 -6/7 -4/5 19/8 -5/8 69/29 -2/5 0/1 119/50 -1/2 50/21 -1/3 181/76 -1/2 312/131 -1/1 -1/3 131/55 0/1 81/34 -1/2 -1/4 31/13 0/1 105/44 -1/2 1/0 74/31 -1/1 117/49 -1/2 43/18 -1/2 141/59 -2/1 0/1 239/100 -5/6 98/41 -5/9 55/23 0/1 12/5 -1/1 -1/3 77/32 -1/2 65/27 -1/3 53/22 -1/4 41/17 0/1 29/12 1/0 104/43 -1/3 75/31 -2/5 0/1 196/81 -1/3 121/50 -1/2 46/19 -1/3 109/45 0/1 390/161 -1/3 -1/5 281/116 -1/4 172/71 -1/5 63/26 -1/2 -1/4 17/7 0/1 39/16 0/1 22/9 1/9 49/20 3/16 27/11 0/1 2/7 32/13 1/3 5/2 1/2 43/17 0/1 38/15 1/1 33/13 0/1 2/1 28/11 1/1 79/31 2/1 130/51 1/1 3/1 51/20 3/2 1/0 23/9 2/1 41/16 1/0 100/39 1/1 59/23 10/1 195/76 1/0 136/53 -21/1 77/30 1/0 18/7 -1/1 1/1 49/19 6/5 129/50 3/2 7/4 338/131 1/1 5/3 209/81 2/1 80/31 9/5 31/12 1/0 13/5 1/0 47/18 1/0 81/31 -2/1 0/1 196/75 -1/1 507/194 -1/1 311/119 0/1 115/44 1/0 34/13 -1/1 157/60 1/0 123/47 -4/1 -2/1 89/34 1/0 233/89 -2/1 144/55 -3/1 -1/1 55/21 -2/1 131/50 -3/2 76/29 -7/5 97/37 -12/11 21/8 -1/2 1/0 92/35 1/1 163/62 1/0 234/89 -1/1 1/1 71/27 0/1 192/73 -1/1 1/1 121/46 1/0 50/19 1/1 129/49 0/1 2/1 208/79 1/1 3/1 79/30 1/0 29/11 -4/1 37/14 1/0 156/59 -3/1 -1/1 119/45 -2/1 82/31 -1/1 45/17 -2/1 0/1 53/20 1/0 8/3 -1/1 43/16 -5/4 78/29 -1/1 35/13 -4/5 62/23 -3/5 27/10 -3/4 -1/2 73/27 0/1 192/71 -1/1 -1/3 311/115 0/1 119/44 -1/2 46/17 -1/1 19/7 -2/7 87/32 -1/6 -1/8 68/25 -1/15 117/43 0/1 49/18 1/8 79/29 0/1 188/69 1/3 109/40 1/2 30/11 -1/1 1/1 71/26 1/0 112/41 -1/1 41/15 0/1 11/4 -1/2 47/17 0/1 83/30 -1/4 36/13 -1/3 -1/5 61/22 -1/6 25/9 0/1 39/14 0/1 14/5 1/5 45/16 3/8 1/2 31/11 0/1 17/6 1/0 37/13 0/1 20/7 1/7 63/22 3/8 1/2 43/15 0/1 23/8 1/2 26/9 1/1 3/1 0/1 2/1 22/7 -1/3 19/6 1/6 35/11 2/3 16/5 -1/1 45/14 -1/2 1/0 74/23 -1/1 29/9 -2/1 13/4 0/1 49/15 2/11 85/26 1/4 121/37 0/1 36/11 1/5 1/3 95/29 2/7 59/18 5/14 23/7 0/1 79/24 1/2 56/17 1/3 145/44 1/2 234/71 1/3 1/1 89/27 0/1 33/10 1/4 1/2 76/23 7/15 195/59 1/2 119/36 1/2 43/13 2/3 10/3 -1/1 67/20 1/4 57/17 0/1 2/5 47/14 1/2 84/25 -1/1 1/1 37/11 0/1 64/19 1/5 155/46 1/4 91/27 1/3 27/8 1/4 1/2 71/21 0/1 115/34 1/2 44/13 1/1 61/18 1/2 78/23 1/3 1/1 17/5 0/1 58/17 7/15 99/29 4/7 2/3 41/12 1/2 106/31 1/3 65/19 1/2 24/7 3/5 1/1 103/30 1/2 182/53 3/5 1/1 79/23 2/3 55/16 3/4 86/25 1/1 117/34 1/1 31/9 0/1 38/11 1/1 7/2 1/2 39/11 1/1 32/9 1/1 89/25 4/3 57/16 3/2 1/0 25/7 2/1 93/26 3/2 1/0 161/45 4/5 390/109 1/1 229/64 11/10 68/19 7/5 43/12 1/0 104/29 1/1 3/1 61/17 2/1 79/22 1/0 18/5 -1/1 1/1 47/13 0/1 123/34 3/8 1/2 76/21 5/9 181/50 1/2 286/79 3/5 1/1 105/29 4/7 2/3 29/8 5/6 69/19 4/3 2/1 40/11 1/1 131/36 3/2 91/25 1/1 51/14 3/2 1/0 11/3 2/1 37/10 1/0 26/7 -1/1 1/1 41/11 0/1 97/26 1/8 56/15 -1/1 15/4 1/2 1/0 94/25 -1/1 79/21 0/1 64/17 -1/1 49/13 -2/1 83/22 -1/4 117/31 0/1 34/9 1/3 53/14 1/2 19/5 4/5 61/16 3/2 42/11 1/1 3/1 23/6 1/0 27/7 0/1 2/1 31/8 1/0 4/1 1/1 29/7 2/1 25/6 1/2 21/5 0/1 2/3 59/14 13/14 156/37 1/1 97/23 20/19 38/9 1/1 17/4 1/0 47/11 0/1 124/29 1/3 77/18 1/2 30/7 3/5 1/1 13/3 1/1 48/11 1/1 9/7 83/19 6/5 118/27 1/1 35/8 5/4 92/21 1/1 57/13 4/3 10/7 136/31 37/25 79/18 3/2 22/5 5/3 75/17 2/1 4/1 53/12 1/0 31/7 0/1 40/9 1/1 9/2 3/2 1/0 50/11 1/1 41/9 2/1 155/34 1/0 114/25 1/1 3/1 73/16 1/0 32/7 3/1 55/12 1/0 78/17 1/1 3/1 23/5 2/1 37/8 1/0 51/11 0/1 2/1 65/14 1/1 79/17 2/1 14/3 3/1 47/10 1/0 80/17 -1/5 33/7 0/1 2/3 19/4 7/4 43/9 4/1 24/5 1/1 3/1 77/16 1/0 130/27 1/1 3/1 53/11 2/1 29/6 7/2 34/7 7/1 39/8 1/0 5/1 0/1 31/6 1/0 26/5 -1/1 1/1 47/9 0/1 21/4 -1/2 1/0 79/15 0/1 58/11 1/9 37/7 0/1 16/3 1/3 43/8 3/4 27/5 0/1 2/3 65/12 1/1 103/19 2/3 38/7 1/1 11/2 1/2 39/7 1/1 28/5 1/1 45/8 5/4 3/2 62/11 1/1 141/25 4/3 10/7 79/14 3/2 17/3 2/1 40/7 1/1 103/18 3/2 63/11 4/3 2/1 23/4 3/2 52/9 1/1 29/5 8/5 64/11 5/3 35/6 7/4 41/7 2/1 6/1 1/1 3/1 31/5 0/1 25/4 1/0 19/3 10/3 32/5 5/1 13/2 1/0 46/7 -5/1 79/12 1/0 33/5 -4/1 -2/1 53/8 1/0 73/11 -10/3 93/14 -11/4 -5/2 20/3 -5/3 27/4 -1/2 1/0 7/1 0/1 29/4 -3/2 22/3 1/3 15/2 1/2 1/0 53/7 0/1 38/5 1/1 23/3 0/1 31/4 3/4 39/5 1/1 8/1 1/1 25/3 2/1 17/2 1/0 26/3 1/1 3/1 9/1 2/1 4/1 19/2 13/2 10/1 -5/1 21/2 -3/2 1/0 11/1 0/1 12/1 -1/1 1/1 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(233,2652,-144,-1639) (-11/1,1/0) -> (-89/55,-233/144) Hyperbolic Matrix(77,780,-54,-547) (-11/1,-10/1) -> (-10/7,-67/47) Hyperbolic Matrix(155,1482,-98,-937) (-10/1,-9/1) -> (-87/55,-68/43) Hyperbolic Matrix(79,702,44,391) (-9/1,-26/3) -> (52/29,9/5) Hyperbolic Matrix(391,3354,282,2419) (-26/3,-17/2) -> (61/44,104/75) Hyperbolic Matrix(233,1950,-84,-703) (-17/2,-8/1) -> (-86/31,-61/22) Hyperbolic Matrix(313,2418,-222,-1715) (-8/1,-23/3) -> (-55/39,-86/61) Hyperbolic Matrix(235,1794,-194,-1481) (-23/3,-15/2) -> (-63/52,-23/19) Hyperbolic Matrix(157,1170,42,313) (-15/2,-22/3) -> (56/15,15/4) Hyperbolic Matrix(235,1716,-96,-701) (-22/3,-7/1) -> (-71/29,-22/9) Hyperbolic Matrix(311,2106,92,623) (-7/1,-27/4) -> (27/8,71/21) Hyperbolic Matrix(233,1560,128,857) (-27/4,-20/3) -> (20/11,51/28) Hyperbolic Matrix(1247,8268,-706,-4681) (-20/3,-53/8) -> (-53/30,-136/77) Hyperbolic Matrix(625,4134,236,1561) (-53/8,-33/5) -> (45/17,53/20) Hyperbolic Matrix(547,3588,-202,-1325) (-33/5,-13/2) -> (-65/24,-111/41) Hyperbolic Matrix(233,1482,-86,-547) (-13/2,-19/3) -> (-19/7,-65/24) Hyperbolic Matrix(235,1482,62,391) (-19/3,-25/4) -> (53/14,19/5) Hyperbolic Matrix(389,2418,-88,-547) (-25/4,-6/1) -> (-84/19,-53/12) Hyperbolic Matrix(625,3666,-186,-1091) (-6/1,-35/6) -> (-121/36,-84/25) Hyperbolic Matrix(859,4992,-228,-1325) (-35/6,-29/5) -> (-49/13,-113/30) Hyperbolic Matrix(781,4524,458,2653) (-29/5,-52/9) -> (104/61,29/17) Hyperbolic Matrix(311,1794,108,623) (-52/9,-23/4) -> (23/8,26/9) Hyperbolic Matrix(313,1794,-272,-1559) (-23/4,-40/7) -> (-38/33,-23/20) Hyperbolic Matrix(233,1326,178,1013) (-40/7,-17/3) -> (17/13,38/29) Hyperbolic Matrix(623,3510,-194,-1093) (-17/3,-45/8) -> (-45/14,-61/19) Hyperbolic Matrix(389,2184,236,1325) (-45/8,-28/5) -> (28/17,33/20) Hyperbolic Matrix(391,2184,70,391) (-28/5,-39/7) -> (39/7,28/5) Hyperbolic Matrix(155,858,28,155) (-39/7,-11/2) -> (11/2,39/7) Hyperbolic Matrix(157,858,-114,-623) (-11/2,-27/5) -> (-51/37,-11/8) Hyperbolic Matrix(391,2106,-246,-1325) (-27/5,-16/3) -> (-62/39,-27/17) Hyperbolic Matrix(235,1248,-132,-701) (-16/3,-21/4) -> (-57/32,-16/9) Hyperbolic Matrix(701,3666,492,2573) (-21/4,-47/9) -> (47/33,57/40) Hyperbolic Matrix(389,2028,314,1637) (-47/9,-26/5) -> (26/21,31/25) Hyperbolic Matrix(391,2028,316,1639) (-26/5,-31/6) -> (47/38,26/21) Hyperbolic Matrix(469,2418,212,1093) (-31/6,-5/1) -> (73/33,31/14) Hyperbolic Matrix(547,2652,-402,-1949) (-5/1,-29/6) -> (-49/36,-83/61) Hyperbolic Matrix(469,2262,356,1717) (-29/6,-53/11) -> (25/19,29/22) Hyperbolic Matrix(779,3744,-552,-2653) (-53/11,-24/5) -> (-24/17,-103/73) Hyperbolic Matrix(391,1872,212,1015) (-24/5,-43/9) -> (35/19,24/13) Hyperbolic Matrix(311,1482,98,467) (-43/9,-19/4) -> (19/6,35/11) Hyperbolic Matrix(313,1482,132,625) (-19/4,-33/7) -> (45/19,19/8) Hyperbolic Matrix(233,1092,-150,-703) (-33/7,-14/3) -> (-14/9,-45/29) Hyperbolic Matrix(623,2886,-438,-2029) (-14/3,-37/8) -> (-37/26,-64/45) Hyperbolic Matrix(389,1794,152,701) (-37/8,-23/5) -> (23/9,41/16) Hyperbolic Matrix(545,2496,-426,-1951) (-23/5,-32/7) -> (-32/25,-55/43) Hyperbolic Matrix(1247,5694,-786,-3589) (-32/7,-41/9) -> (-119/75,-46/29) Hyperbolic Matrix(859,3900,-498,-2261) (-41/9,-9/2) -> (-69/40,-119/69) Hyperbolic Matrix(157,702,70,313) (-9/2,-40/9) -> (38/17,9/4) Hyperbolic Matrix(545,2418,158,701) (-40/9,-31/7) -> (31/9,38/11) Hyperbolic Matrix(1481,6552,1040,4601) (-31/7,-84/19) -> (84/59,47/33) Hyperbolic Matrix(389,1716,-124,-547) (-53/12,-22/5) -> (-22/7,-25/8) Hyperbolic Matrix(1403,6162,426,1871) (-22/5,-79/18) -> (79/24,56/17) Hyperbolic Matrix(1405,6162,-1138,-4991) (-79/18,-57/13) -> (-21/17,-79/64) Hyperbolic Matrix(1637,7176,1014,4445) (-57/13,-92/21) -> (92/57,21/13) Hyperbolic Matrix(2885,12636,-766,-3355) (-92/21,-35/8) -> (-113/30,-64/17) Hyperbolic Matrix(233,1014,-54,-235) (-35/8,-13/3) -> (-13/3,-43/10) Parabolic Matrix(781,3354,-472,-2027) (-43/10,-73/17) -> (-5/3,-43/26) Hyperbolic Matrix(1091,4680,618,2651) (-73/17,-30/7) -> (30/17,83/47) Hyperbolic Matrix(311,1326,-110,-469) (-30/7,-17/4) -> (-17/6,-48/17) Hyperbolic Matrix(313,1326,258,1093) (-17/4,-38/9) -> (40/33,17/14) Hyperbolic Matrix(1405,5928,-1072,-4523) (-38/9,-59/14) -> (-97/74,-38/29) Hyperbolic Matrix(779,3276,482,2027) (-59/14,-21/5) -> (21/13,97/60) Hyperbolic Matrix(467,1950,336,1403) (-21/5,-25/6) -> (25/18,57/41) Hyperbolic Matrix(545,2262,432,1793) (-25/6,-29/7) -> (29/23,53/42) Hyperbolic Matrix(547,2262,170,703) (-29/7,-4/1) -> (74/23,29/9) Hyperbolic Matrix(623,2418,-362,-1405) (-4/1,-27/7) -> (-105/61,-74/43) Hyperbolic Matrix(467,1794,284,1091) (-27/7,-23/6) -> (23/14,51/31) Hyperbolic Matrix(469,1794,-326,-1247) (-23/6,-19/5) -> (-59/41,-23/16) Hyperbolic Matrix(701,2652,-392,-1483) (-19/5,-34/9) -> (-34/19,-59/33) Hyperbolic Matrix(703,2652,-558,-2105) (-34/9,-49/13) -> (-29/23,-34/27) Hyperbolic Matrix(1637,6162,352,1325) (-64/17,-79/21) -> (79/17,14/3) Hyperbolic Matrix(3277,12324,-2696,-10139) (-79/21,-15/4) -> (-141/116,-79/65) Hyperbolic Matrix(313,1170,42,157) (-15/4,-56/15) -> (22/3,15/2) Hyperbolic Matrix(1715,6396,-1046,-3901) (-56/15,-41/11) -> (-41/25,-100/61) Hyperbolic Matrix(545,2028,398,1481) (-41/11,-26/7) -> (26/19,37/27) Hyperbolic Matrix(547,2028,400,1483) (-26/7,-37/10) -> (41/30,26/19) Hyperbolic Matrix(233,858,148,545) (-37/10,-11/3) -> (11/7,41/26) Hyperbolic Matrix(235,858,-192,-701) (-11/3,-40/11) -> (-38/31,-11/9) Hyperbolic Matrix(623,2262,-344,-1249) (-40/11,-29/8) -> (-29/16,-38/21) Hyperbolic Matrix(389,1404,-238,-859) (-29/8,-18/5) -> (-18/11,-49/30) Hyperbolic Matrix(781,2808,304,1093) (-18/5,-79/22) -> (77/30,18/7) Hyperbolic Matrix(2651,9516,-826,-2965) (-79/22,-61/17) -> (-61/19,-77/24) Hyperbolic Matrix(935,3354,826,2963) (-61/17,-104/29) -> (26/23,17/15) Hyperbolic Matrix(1871,6708,1044,3743) (-104/29,-43/12) -> (43/24,52/29) Hyperbolic Matrix(937,3354,654,2341) (-43/12,-68/19) -> (10/7,43/30) Hyperbolic Matrix(7411,26520,-5340,-19109) (-68/19,-161/45) -> (-229/165,-68/49) Hyperbolic Matrix(12559,44928,-7304,-26129) (-161/45,-93/26) -> (-141/82,-239/139) Hyperbolic Matrix(3119,11154,-2574,-9205) (-93/26,-25/7) -> (-103/85,-63/52) Hyperbolic Matrix(547,1950,416,1483) (-25/7,-57/16) -> (21/16,25/19) Hyperbolic Matrix(2497,8892,-1752,-6239) (-57/16,-89/25) -> (-67/47,-57/40) Hyperbolic Matrix(1249,4446,570,2029) (-89/25,-32/9) -> (46/21,11/5) Hyperbolic Matrix(703,2496,198,703) (-32/9,-39/11) -> (39/11,32/9) Hyperbolic Matrix(155,546,44,155) (-39/11,-7/2) -> (7/2,39/11) Hyperbolic Matrix(157,546,90,313) (-7/2,-38/11) -> (40/23,7/4) Hyperbolic Matrix(701,2418,158,545) (-38/11,-31/9) -> (31/7,40/9) Hyperbolic Matrix(703,2418,-612,-2105) (-31/9,-55/16) -> (-23/20,-31/27) Hyperbolic Matrix(1793,6162,1248,4289) (-55/16,-79/23) -> (79/55,23/16) Hyperbolic Matrix(1091,3744,-864,-2965) (-79/23,-24/7) -> (-24/19,-77/61) Hyperbolic Matrix(547,1872,-296,-1013) (-24/7,-41/12) -> (-37/20,-24/13) Hyperbolic Matrix(389,1326,-252,-859) (-41/12,-17/5) -> (-17/11,-37/24) Hyperbolic Matrix(1013,3432,-714,-2419) (-17/5,-44/13) -> (-44/31,-61/43) Hyperbolic Matrix(3275,11076,-2076,-7021) (-44/13,-71/21) -> (-71/45,-112/71) Hyperbolic Matrix(623,2106,92,311) (-71/21,-27/8) -> (27/4,7/1) Hyperbolic Matrix(857,2886,-672,-2263) (-27/8,-37/11) -> (-37/29,-51/40) Hyperbolic Matrix(4757,15990,3318,11153) (-37/11,-121/36) -> (43/30,119/83) Hyperbolic Matrix(1951,6552,1510,5071) (-84/25,-47/14) -> (31/24,84/65) Hyperbolic Matrix(1093,3666,884,2965) (-47/14,-57/17) -> (21/17,47/38) Hyperbolic Matrix(233,780,-210,-703) (-57/17,-10/3) -> (-10/9,-21/19) Hyperbolic Matrix(1013,3354,730,2417) (-10/3,-43/13) -> (43/31,68/49) Hyperbolic Matrix(4837,15990,3398,11233) (-43/13,-119/36) -> (37/26,121/85) Hyperbolic Matrix(14041,46410,4248,14041) (-119/36,-195/59) -> (195/59,119/36) Hyperbolic Matrix(8969,29640,2714,8969) (-195/59,-76/23) -> (76/23,195/59) Hyperbolic Matrix(3589,11856,992,3277) (-76/23,-33/10) -> (123/34,76/21) Hyperbolic Matrix(4211,13884,2602,8579) (-33/10,-89/27) -> (89/55,123/76) Hyperbolic Matrix(3977,13104,-2770,-9127) (-89/27,-56/17) -> (-56/39,-145/101) Hyperbolic Matrix(1871,6162,426,1403) (-56/17,-79/24) -> (79/18,22/5) Hyperbolic Matrix(1873,6162,1328,4369) (-79/24,-23/7) -> (55/39,79/56) Hyperbolic Matrix(547,1794,-404,-1325) (-23/7,-36/11) -> (-42/31,-23/17) Hyperbolic Matrix(311,1014,-96,-313) (-36/11,-13/4) -> (-13/4,-42/13) Parabolic Matrix(5147,16614,-3190,-10297) (-42/13,-71/22) -> (-71/44,-192/119) Hyperbolic Matrix(1717,5538,1016,3277) (-71/22,-29/9) -> (49/29,71/42) Hyperbolic Matrix(703,2262,170,547) (-29/9,-74/23) -> (4/1,29/7) Hyperbolic Matrix(2183,7020,1358,4367) (-74/23,-45/14) -> (45/28,82/51) Hyperbolic Matrix(2651,8502,-1946,-6241) (-77/24,-16/5) -> (-94/69,-79/58) Hyperbolic Matrix(857,2730,318,1013) (-16/5,-35/11) -> (35/13,62/23) Hyperbolic Matrix(467,1482,98,311) (-35/11,-19/6) -> (19/4,43/9) Hyperbolic Matrix(1013,3198,-618,-1951) (-19/6,-22/7) -> (-100/61,-59/36) Hyperbolic Matrix(779,2418,452,1403) (-25/8,-3/1) -> (81/47,131/76) Hyperbolic Matrix(779,2262,322,935) (-3/1,-26/9) -> (104/43,75/31) Hyperbolic Matrix(623,1794,108,311) (-26/9,-23/8) -> (23/4,52/9) Hyperbolic Matrix(1169,3354,-680,-1951) (-23/8,-20/7) -> (-98/57,-55/32) Hyperbolic Matrix(467,1326,-330,-937) (-20/7,-17/6) -> (-17/12,-58/41) Hyperbolic Matrix(2183,6162,-1382,-3901) (-48/17,-31/11) -> (-109/69,-30/19) Hyperbolic Matrix(389,1092,-306,-859) (-31/11,-14/5) -> (-14/11,-47/37) Hyperbolic Matrix(391,1092,140,391) (-14/5,-39/14) -> (39/14,14/5) Hyperbolic Matrix(701,1950,252,701) (-39/14,-25/9) -> (25/9,39/14) Hyperbolic Matrix(1715,4758,1068,2963) (-25/9,-86/31) -> (8/5,53/33) Hyperbolic Matrix(2027,5616,-1408,-3901) (-61/22,-36/13) -> (-36/25,-95/66) Hyperbolic Matrix(311,858,-170,-469) (-36/13,-11/4) -> (-11/6,-42/23) Hyperbolic Matrix(313,858,228,625) (-11/4,-41/15) -> (37/27,11/8) Hyperbolic Matrix(857,2340,-486,-1327) (-41/15,-30/11) -> (-30/17,-37/21) Hyperbolic Matrix(1717,4680,-1316,-3587) (-30/11,-79/29) -> (-77/59,-30/23) Hyperbolic Matrix(2263,6162,1404,3823) (-79/29,-49/18) -> (29/18,79/49) Hyperbolic Matrix(4213,11466,1548,4213) (-49/18,-117/43) -> (117/43,49/18) Hyperbolic Matrix(5849,15912,2150,5849) (-117/43,-68/25) -> (68/25,117/43) Hyperbolic Matrix(545,1482,-488,-1327) (-68/25,-19/7) -> (-19/17,-10/9) Hyperbolic Matrix(13571,36738,5186,14039) (-111/41,-157/58) -> (157/60,123/47) Hyperbolic Matrix(8501,23010,1988,5381) (-157/58,-46/17) -> (124/29,77/18) Hyperbolic Matrix(779,2106,-462,-1249) (-46/17,-27/10) -> (-27/16,-32/19) Hyperbolic Matrix(781,2106,-636,-1715) (-27/10,-35/13) -> (-43/35,-27/22) Hyperbolic Matrix(233,624,-146,-391) (-35/13,-8/3) -> (-8/5,-43/27) Hyperbolic Matrix(1795,4758,1148,3043) (-8/3,-53/20) -> (25/16,86/55) Hyperbolic Matrix(1561,4134,236,625) (-53/20,-45/17) -> (33/5,53/8) Hyperbolic Matrix(2653,7020,1828,4837) (-45/17,-82/31) -> (74/51,45/31) Hyperbolic Matrix(4837,12792,-3008,-7955) (-82/31,-37/14) -> (-119/74,-82/51) Hyperbolic Matrix(857,2262,502,1325) (-37/14,-29/11) -> (29/17,41/24) Hyperbolic Matrix(2339,6162,1480,3899) (-29/11,-79/30) -> (79/50,49/31) Hyperbolic Matrix(2341,6162,-1422,-3743) (-79/30,-50/19) -> (-28/17,-79/48) Hyperbolic Matrix(2105,5538,978,2573) (-50/19,-121/46) -> (43/20,28/13) Hyperbolic Matrix(7177,18876,-4982,-13103) (-121/46,-71/27) -> (-85/59,-121/84) Hyperbolic Matrix(8189,21528,-5074,-13339) (-71/27,-92/35) -> (-92/57,-163/101) Hyperbolic Matrix(2731,7176,2108,5539) (-92/35,-21/8) -> (57/44,92/71) Hyperbolic Matrix(1249,3276,952,2497) (-21/8,-97/37) -> (59/45,21/16) Hyperbolic Matrix(625,1638,298,781) (-97/37,-76/29) -> (2/1,19/9) Hyperbolic Matrix(2263,5928,-1280,-3353) (-76/29,-55/21) -> (-23/13,-76/43) Hyperbolic Matrix(3277,8580,-1370,-3587) (-55/21,-89/34) -> (-67/28,-55/23) Hyperbolic Matrix(5305,13884,3696,9673) (-89/34,-123/47) -> (33/23,89/62) Hyperbolic Matrix(3041,7956,-1342,-3511) (-123/47,-34/13) -> (-34/15,-111/49) Hyperbolic Matrix(389,1014,-150,-391) (-34/13,-13/5) -> (-13/5,-44/17) Parabolic Matrix(3979,10296,1176,3043) (-44/17,-119/46) -> (115/34,44/13) Hyperbolic Matrix(28705,74256,10614,27457) (-119/46,-313/121) -> (311/115,119/44) Hyperbolic Matrix(122303,316368,46798,121055) (-313/121,-507/196) -> (507/194,311/119) Hyperbolic Matrix(76441,197730,29250,75661) (-507/196,-194/75) -> (196/75,507/194) Hyperbolic Matrix(11309,29250,4674,12089) (-194/75,-75/29) -> (75/31,196/81) Hyperbolic Matrix(1871,4836,1086,2807) (-75/29,-31/12) -> (31/18,81/47) Hyperbolic Matrix(545,1404,-394,-1015) (-31/12,-18/7) -> (-18/13,-47/34) Hyperbolic Matrix(1093,2808,304,781) (-18/7,-77/30) -> (79/22,18/5) Hyperbolic Matrix(8267,21216,1884,4835) (-77/30,-136/53) -> (136/31,79/18) Hyperbolic Matrix(20671,53040,8056,20671) (-136/53,-195/76) -> (195/76,136/53) Hyperbolic Matrix(8969,23010,3496,8969) (-195/76,-59/23) -> (59/23,195/76) Hyperbolic Matrix(2495,6396,-1826,-4681) (-59/23,-41/16) -> (-41/30,-97/71) Hyperbolic Matrix(701,1794,152,389) (-41/16,-23/9) -> (23/5,37/8) Hyperbolic Matrix(703,1794,520,1327) (-23/9,-51/20) -> (27/20,23/17) Hyperbolic Matrix(2419,6162,-1500,-3821) (-51/20,-28/11) -> (-50/31,-129/80) Hyperbolic Matrix(859,2184,706,1795) (-28/11,-33/13) -> (45/37,28/23) Hyperbolic Matrix(1015,2574,-584,-1481) (-33/13,-5/2) -> (-73/42,-33/19) Hyperbolic Matrix(857,2106,-540,-1327) (-5/2,-27/11) -> (-27/17,-73/46) Hyperbolic Matrix(3119,7644,-1910,-4681) (-27/11,-49/20) -> (-49/30,-129/79) Hyperbolic Matrix(2261,5538,1560,3821) (-49/20,-71/29) -> (71/49,29/20) Hyperbolic Matrix(703,1716,288,703) (-22/9,-39/16) -> (39/16,22/9) Hyperbolic Matrix(545,1326,224,545) (-39/16,-17/7) -> (17/7,39/16) Hyperbolic Matrix(547,1326,290,703) (-17/7,-63/26) -> (15/8,17/9) Hyperbolic Matrix(11623,28158,-9562,-23165) (-63/26,-172/71) -> (-62/51,-141/116) Hyperbolic Matrix(27691,67080,-16260,-39389) (-172/71,-109/45) -> (-281/165,-172/101) Hyperbolic Matrix(10531,25506,-6666,-16145) (-109/45,-46/19) -> (-188/119,-109/69) Hyperbolic Matrix(2965,7176,1354,3277) (-46/19,-121/50) -> (35/16,46/21) Hyperbolic Matrix(8735,21138,1998,4835) (-121/50,-196/81) -> (118/27,35/8) Hyperbolic Matrix(12637,30576,4836,11701) (-196/81,-75/31) -> (81/31,196/75) Hyperbolic Matrix(935,2262,322,779) (-75/31,-104/43) -> (26/9,3/1) Hyperbolic Matrix(1871,4524,1548,3743) (-104/43,-29/12) -> (29/24,52/43) Hyperbolic Matrix(937,2262,582,1405) (-29/12,-41/17) -> (37/23,29/18) Hyperbolic Matrix(1327,3198,-744,-1793) (-41/17,-12/5) -> (-66/37,-41/23) Hyperbolic Matrix(391,936,-358,-857) (-12/5,-67/28) -> (-11/10,-12/11) Hyperbolic Matrix(1403,3354,-914,-2185) (-55/23,-43/18) -> (-43/28,-23/15) Hyperbolic Matrix(4213,10062,1764,4213) (-43/18,-117/49) -> (117/49,43/18) Hyperbolic Matrix(7253,17316,3038,7253) (-117/49,-74/31) -> (74/31,117/49) Hyperbolic Matrix(1013,2418,-752,-1795) (-74/31,-31/13) -> (-31/23,-4/3) Hyperbolic Matrix(2029,4836,1244,2965) (-31/13,-81/34) -> (75/46,31/19) Hyperbolic Matrix(1015,2418,688,1639) (-81/34,-131/55) -> (25/17,3/2) Hyperbolic Matrix(6551,15600,-3800,-9049) (-131/55,-50/21) -> (-50/29,-181/105) Hyperbolic Matrix(1639,3900,-1278,-3041) (-50/21,-69/29) -> (-9/7,-50/39) Hyperbolic Matrix(1247,2964,-788,-1873) (-69/29,-19/8) -> (-19/12,-87/55) Hyperbolic Matrix(625,1482,132,313) (-19/8,-45/19) -> (33/7,19/4) Hyperbolic Matrix(857,2028,494,1169) (-45/19,-26/11) -> (26/15,33/19) Hyperbolic Matrix(859,2028,496,1171) (-26/11,-33/14) -> (45/26,26/15) Hyperbolic Matrix(1093,2574,-662,-1559) (-33/14,-40/17) -> (-38/23,-33/20) Hyperbolic Matrix(233,546,166,389) (-40/17,-7/3) -> (7/5,38/27) Hyperbolic Matrix(1013,2340,-642,-1483) (-7/3,-30/13) -> (-30/19,-71/45) Hyperbolic Matrix(2029,4680,1556,3589) (-30/13,-83/36) -> (73/56,30/23) Hyperbolic Matrix(3587,8268,-3046,-7021) (-83/36,-53/23) -> (-53/45,-73/62) Hyperbolic Matrix(2575,5928,-1592,-3665) (-53/23,-23/10) -> (-55/34,-131/81) Hyperbolic Matrix(781,1794,340,781) (-23/10,-39/17) -> (39/17,23/10) Hyperbolic Matrix(545,1248,238,545) (-39/17,-16/7) -> (16/7,39/17) Hyperbolic Matrix(547,1248,-444,-1013) (-16/7,-41/18) -> (-37/30,-16/13) Hyperbolic Matrix(1405,3198,-822,-1871) (-41/18,-25/11) -> (-53/31,-41/24) Hyperbolic Matrix(1169,2652,-860,-1951) (-25/11,-34/15) -> (-34/25,-53/39) Hyperbolic Matrix(4993,11310,758,1717) (-111/49,-77/34) -> (79/12,33/5) Hyperbolic Matrix(23011,52104,-14502,-32837) (-77/34,-120/53) -> (-192/121,-311/196) Hyperbolic Matrix(7097,16068,2170,4913) (-120/53,-43/19) -> (121/37,36/11) Hyperbolic Matrix(2965,6708,2138,4837) (-43/19,-52/23) -> (104/75,43/31) Hyperbolic Matrix(311,702,276,623) (-52/23,-9/4) -> (9/8,26/23) Hyperbolic Matrix(1013,2262,-734,-1639) (-9/4,-29/13) -> (-29/21,-69/50) Hyperbolic Matrix(701,1560,-386,-859) (-29/13,-20/9) -> (-20/11,-49/27) Hyperbolic Matrix(703,1560,598,1327) (-20/9,-51/23) -> (27/23,20/17) Hyperbolic Matrix(2183,4836,-1268,-2809) (-51/23,-31/14) -> (-31/18,-105/61) Hyperbolic Matrix(389,858,-248,-547) (-31/14,-11/5) -> (-11/7,-47/30) Hyperbolic Matrix(2029,4446,570,1249) (-11/5,-46/21) -> (32/9,89/25) Hyperbolic Matrix(3277,7176,1354,2965) (-46/21,-35/16) -> (121/50,46/19) Hyperbolic Matrix(857,1872,678,1481) (-35/16,-24/11) -> (24/19,43/34) Hyperbolic Matrix(859,1872,-608,-1325) (-24/11,-13/6) -> (-65/46,-24/17) Hyperbolic Matrix(1481,3198,-1048,-2263) (-13/6,-28/13) -> (-106/75,-65/46) Hyperbolic Matrix(2573,5538,978,2105) (-28/13,-43/20) -> (121/46,50/19) Hyperbolic Matrix(1561,3354,-1016,-2183) (-43/20,-15/7) -> (-63/41,-43/28) Hyperbolic Matrix(623,1326,366,779) (-15/7,-17/8) -> (17/10,63/37) Hyperbolic Matrix(701,1482,184,389) (-17/8,-19/9) -> (19/5,61/16) Hyperbolic Matrix(781,1638,298,625) (-19/9,-2/1) -> (76/29,97/37) Hyperbolic Matrix(857,1638,530,1013) (-2/1,-19/10) -> (97/60,76/47) Hyperbolic Matrix(1481,2808,452,857) (-19/10,-17/9) -> (95/29,59/18) Hyperbolic Matrix(703,1326,290,547) (-17/9,-15/8) -> (63/26,17/7) Hyperbolic Matrix(3587,6708,-2086,-3901) (-15/8,-43/23) -> (-43/25,-141/82) Hyperbolic Matrix(2965,5538,1838,3433) (-43/23,-28/15) -> (50/31,121/75) Hyperbolic Matrix(545,1014,-294,-547) (-28/15,-13/7) -> (-13/7,-50/27) Parabolic Matrix(4213,7800,1770,3277) (-50/27,-37/20) -> (119/50,50/21) Hyperbolic Matrix(1015,1872,212,391) (-24/13,-35/19) -> (43/9,24/5) Hyperbolic Matrix(3899,7176,2288,4211) (-35/19,-46/25) -> (46/27,121/71) Hyperbolic Matrix(2417,4446,1738,3197) (-46/25,-11/6) -> (89/64,32/23) Hyperbolic Matrix(9359,17082,-5898,-10765) (-42/23,-73/40) -> (-73/46,-192/121) Hyperbolic Matrix(1325,2418,1068,1949) (-73/40,-31/17) -> (31/25,5/4) Hyperbolic Matrix(1327,2418,-984,-1793) (-31/17,-51/28) -> (-27/20,-31/23) Hyperbolic Matrix(857,1560,128,233) (-51/28,-20/11) -> (20/3,27/4) Hyperbolic Matrix(3353,6084,1504,2729) (-49/27,-78/43) -> (78/35,29/13) Hyperbolic Matrix(3355,6084,1506,2731) (-78/43,-29/16) -> (49/22,78/35) Hyperbolic Matrix(389,702,302,545) (-38/21,-9/5) -> (9/7,40/31) Hyperbolic Matrix(391,702,44,79) (-9/5,-52/29) -> (26/3,9/1) Hyperbolic Matrix(3743,6708,1044,1871) (-52/29,-43/24) -> (43/12,104/29) Hyperbolic Matrix(12715,22776,4834,8659) (-43/24,-120/67) -> (192/73,121/46) Hyperbolic Matrix(15287,27378,-11934,-21373) (-120/67,-77/43) -> (-155/121,-114/89) Hyperbolic Matrix(4445,7956,-2746,-4915) (-77/43,-34/19) -> (-34/21,-157/97) Hyperbolic Matrix(1091,1950,174,311) (-59/33,-25/14) -> (25/4,19/3) Hyperbolic Matrix(6163,10998,-5026,-8969) (-25/14,-91/51) -> (-65/53,-103/84) Hyperbolic Matrix(15913,28392,4722,8425) (-91/51,-157/88) -> (155/46,91/27) Hyperbolic Matrix(1093,1950,88,157) (-157/88,-66/37) -> (12/1,1/0) Hyperbolic Matrix(3589,6396,-2538,-4523) (-41/23,-57/32) -> (-99/70,-41/29) Hyperbolic Matrix(703,1248,396,703) (-16/9,-39/22) -> (39/22,16/9) Hyperbolic Matrix(1013,1794,572,1013) (-39/22,-23/13) -> (23/13,39/22) Hyperbolic Matrix(11387,20124,-6974,-12325) (-76/43,-53/30) -> (-209/128,-80/49) Hyperbolic Matrix(23009,40638,-13382,-23635) (-136/77,-83/47) -> (-239/139,-98/57) Hyperbolic Matrix(3667,6474,840,1483) (-83/47,-30/17) -> (48/11,83/19) Hyperbolic Matrix(1951,3432,-1374,-2417) (-37/21,-7/4) -> (-71/50,-115/81) Hyperbolic Matrix(313,546,90,157) (-7/4,-40/23) -> (38/11,7/2) Hyperbolic Matrix(6865,11934,-5294,-9203) (-40/23,-73/42) -> (-83/64,-118/91) Hyperbolic Matrix(1169,2028,494,857) (-33/19,-26/15) -> (26/11,45/19) Hyperbolic Matrix(1171,2028,496,859) (-26/15,-45/26) -> (33/14,26/11) Hyperbolic Matrix(857,1482,676,1169) (-45/26,-19/11) -> (19/15,33/26) Hyperbolic Matrix(859,1482,-768,-1325) (-19/11,-69/40) -> (-9/8,-19/17) Hyperbolic Matrix(4523,7800,2080,3587) (-119/69,-50/29) -> (50/23,37/17) Hyperbolic Matrix(56471,97344,23710,40871) (-181/105,-312/181) -> (312/131,131/55) Hyperbolic Matrix(56473,97344,23712,40873) (-312/181,-131/76) -> (181/76,312/131) Hyperbolic Matrix(8191,14118,1856,3199) (-131/76,-81/47) -> (75/17,53/12) Hyperbolic Matrix(3667,6318,1404,2419) (-81/47,-31/18) -> (47/18,81/31) Hyperbolic Matrix(10063,17316,5848,10063) (-74/43,-117/68) -> (117/68,74/43) Hyperbolic Matrix(5849,10062,3400,5849) (-117/68,-43/25) -> (43/25,117/68) Hyperbolic Matrix(4993,8580,-3086,-5303) (-55/32,-12/7) -> (-144/89,-55/34) Hyperbolic Matrix(8111,13884,3098,5303) (-12/7,-77/45) -> (233/89,144/55) Hyperbolic Matrix(5927,10140,1276,2183) (-77/45,-65/38) -> (65/14,79/17) Hyperbolic Matrix(7799,13338,-5656,-9673) (-65/38,-53/31) -> (-131/95,-91/66) Hyperbolic Matrix(1325,2262,502,857) (-41/24,-29/17) -> (29/11,37/14) Hyperbolic Matrix(2653,4524,458,781) (-29/17,-104/61) -> (52/9,29/5) Hyperbolic Matrix(1327,2262,870,1483) (-104/61,-75/44) -> (3/2,26/17) Hyperbolic Matrix(17161,29250,10526,17941) (-75/44,-196/115) -> (194/119,75/46) Hyperbolic Matrix(7643,13026,3020,5147) (-196/115,-121/71) -> (43/17,38/15) Hyperbolic Matrix(4211,7176,2288,3899) (-121/71,-46/27) -> (46/25,35/19) Hyperbolic Matrix(9205,15678,-7052,-12011) (-46/27,-109/64) -> (-47/36,-124/95) Hyperbolic Matrix(89309,152100,36868,62789) (-109/64,-390/229) -> (390/161,281/116) Hyperbolic Matrix(89311,152100,36870,62791) (-390/229,-281/165) -> (109/45,390/161) Hyperbolic Matrix(4993,8502,-3664,-6239) (-172/101,-63/37) -> (-15/11,-94/69) Hyperbolic Matrix(779,1326,366,623) (-63/37,-17/10) -> (17/8,15/7) Hyperbolic Matrix(781,1326,460,781) (-17/10,-39/23) -> (39/23,17/10) Hyperbolic Matrix(1013,1716,598,1013) (-39/23,-22/13) -> (22/13,39/23) Hyperbolic Matrix(1015,1716,-876,-1481) (-22/13,-49/29) -> (-29/25,-22/19) Hyperbolic Matrix(3509,5928,-2540,-4291) (-49/29,-27/16) -> (-105/76,-29/21) Hyperbolic Matrix(1483,2496,-1158,-1949) (-32/19,-5/3) -> (-73/57,-32/25) Hyperbolic Matrix(7879,13026,3256,5383) (-43/26,-38/23) -> (196/81,121/50) Hyperbolic Matrix(1325,2184,236,389) (-33/20,-28/17) -> (28/5,45/8) Hyperbolic Matrix(14977,24648,-10616,-17471) (-79/48,-130/79) -> (-182/129,-79/56) Hyperbolic Matrix(20669,34008,-12658,-20827) (-130/79,-51/31) -> (-129/79,-338/207) Hyperbolic Matrix(1091,1794,284,467) (-51/31,-23/14) -> (23/6,27/7) Hyperbolic Matrix(1093,1794,856,1405) (-23/14,-41/25) -> (37/29,23/18) Hyperbolic Matrix(14041,23010,8568,14041) (-59/36,-195/119) -> (195/119,59/36) Hyperbolic Matrix(32369,53040,19754,32369) (-195/119,-136/83) -> (136/83,195/119) Hyperbolic Matrix(9283,15210,1762,2887) (-136/83,-77/47) -> (79/15,58/11) Hyperbolic Matrix(1715,2808,1238,2027) (-77/47,-18/11) -> (18/13,79/57) Hyperbolic Matrix(44617,72852,12994,21217) (-338/207,-209/128) -> (103/30,182/53) Hyperbolic Matrix(3823,6240,-3010,-4913) (-80/49,-31/19) -> (-47/37,-80/63) Hyperbolic Matrix(623,1014,-384,-625) (-31/19,-13/8) -> (-13/8,-47/29) Parabolic Matrix(3899,6318,1636,2651) (-47/29,-81/50) -> (81/34,31/13) Hyperbolic Matrix(18875,30576,11074,17939) (-81/50,-196/121) -> (196/115,75/44) Hyperbolic Matrix(122069,197730,74878,121289) (-196/121,-507/313) -> (507/311,194/119) Hyperbolic Matrix(195313,316368,119808,194065) (-507/313,-311/192) -> (313/192,507/311) Hyperbolic Matrix(18877,30576,4142,6709) (-311/192,-115/71) -> (41/9,155/34) Hyperbolic Matrix(8813,14274,3226,5225) (-115/71,-34/21) -> (112/41,41/15) Hyperbolic Matrix(22699,36738,14314,23167) (-157/97,-123/76) -> (111/70,157/99) Hyperbolic Matrix(8579,13884,2602,4211) (-123/76,-89/55) -> (89/27,33/10) Hyperbolic Matrix(8581,13884,3568,5773) (-233/144,-144/89) -> (12/5,77/32) Hyperbolic Matrix(14663,23712,-10612,-17161) (-131/81,-76/47) -> (-76/55,-181/131) Hyperbolic Matrix(1013,1638,530,857) (-76/47,-97/60) -> (19/10,2/1) Hyperbolic Matrix(2027,3276,482,779) (-97/60,-21/13) -> (21/5,59/14) Hyperbolic Matrix(4445,7176,1014,1637) (-21/13,-92/57) -> (92/21,57/13) Hyperbolic Matrix(33929,54756,12904,20825) (-163/101,-234/145) -> (234/89,71/27) Hyperbolic Matrix(33931,54756,12906,20827) (-234/145,-71/44) -> (163/62,234/89) Hyperbolic Matrix(14117,22776,6236,10061) (-192/119,-121/75) -> (43/19,120/53) Hyperbolic Matrix(3433,5538,1838,2965) (-121/75,-50/31) -> (28/15,43/23) Hyperbolic Matrix(36425,58734,-26364,-42511) (-129/80,-208/129) -> (-286/207,-105/76) Hyperbolic Matrix(16303,26286,-12916,-20825) (-208/129,-79/49) -> (-77/61,-130/103) Hyperbolic Matrix(3823,6162,1404,2263) (-79/49,-29/18) -> (49/18,79/29) Hyperbolic Matrix(1405,2262,582,937) (-29/18,-37/23) -> (41/17,29/12) Hyperbolic Matrix(15131,24336,5722,9203) (-37/23,-156/97) -> (156/59,119/45) Hyperbolic Matrix(15133,24336,5724,9205) (-156/97,-119/74) -> (37/14,156/59) Hyperbolic Matrix(4367,7020,1358,2183) (-82/51,-45/28) -> (45/14,74/23) Hyperbolic Matrix(2573,4134,2184,3509) (-45/28,-53/33) -> (53/45,33/28) Hyperbolic Matrix(389,624,48,77) (-53/33,-8/5) -> (8/1,25/3) Hyperbolic Matrix(3821,6084,1420,2261) (-43/27,-78/49) -> (78/29,35/13) Hyperbolic Matrix(3823,6084,1422,2263) (-78/49,-35/22) -> (43/16,78/29) Hyperbolic Matrix(1717,2730,1178,1873) (-35/22,-62/39) -> (16/11,35/24) Hyperbolic Matrix(46799,74256,28708,45551) (-311/196,-119/75) -> (119/73,313/192) Hyperbolic Matrix(935,1482,-788,-1249) (-46/29,-19/12) -> (-19/16,-32/27) Hyperbolic Matrix(10063,15912,6364,10063) (-68/43,-117/74) -> (117/74,68/43) Hyperbolic Matrix(7253,11466,4588,7253) (-117/74,-49/31) -> (49/31,117/74) Hyperbolic Matrix(3899,6162,1480,2339) (-49/31,-79/50) -> (79/30,29/11) Hyperbolic Matrix(11701,18486,1778,2809) (-79/50,-188/119) -> (46/7,79/12) Hyperbolic Matrix(9049,14274,3462,5461) (-112/71,-41/26) -> (115/44,34/13) Hyperbolic Matrix(545,858,148,233) (-41/26,-11/7) -> (11/3,37/10) Hyperbolic Matrix(1793,2808,348,545) (-47/30,-83/53) -> (5/1,31/6) Hyperbolic Matrix(7721,12090,-6028,-9439) (-83/53,-36/23) -> (-114/89,-73/57) Hyperbolic Matrix(3041,4758,-2244,-3511) (-36/23,-61/39) -> (-61/45,-42/31) Hyperbolic Matrix(1247,1950,-1098,-1717) (-61/39,-25/16) -> (-25/22,-17/15) Hyperbolic Matrix(1249,1950,800,1249) (-25/16,-39/25) -> (39/25,25/16) Hyperbolic Matrix(701,1092,450,701) (-39/25,-14/9) -> (14/9,39/25) Hyperbolic Matrix(3823,5928,-2766,-4289) (-45/29,-31/20) -> (-47/34,-123/89) Hyperbolic Matrix(857,1326,-656,-1015) (-31/20,-17/11) -> (-17/13,-47/36) Hyperbolic Matrix(1873,2886,-1518,-2339) (-37/24,-20/13) -> (-58/47,-37/30) Hyperbolic Matrix(2029,3120,-1724,-2651) (-20/13,-63/41) -> (-93/79,-20/17) Hyperbolic Matrix(1171,1794,968,1483) (-23/15,-26/17) -> (52/43,23/19) Hyperbolic Matrix(1483,2262,870,1327) (-26/17,-3/2) -> (75/44,104/61) Hyperbolic Matrix(1169,1716,-904,-1327) (-3/2,-22/15) -> (-22/17,-75/58) Hyperbolic Matrix(2183,3198,-1598,-2341) (-22/15,-19/13) -> (-97/71,-56/41) Hyperbolic Matrix(1015,1482,802,1171) (-19/13,-35/24) -> (43/34,19/15) Hyperbolic Matrix(857,1248,160,233) (-35/24,-16/11) -> (16/3,43/8) Hyperbolic Matrix(2417,3510,-1988,-2887) (-16/11,-45/31) -> (-45/37,-62/51) Hyperbolic Matrix(4837,7020,1828,2653) (-45/31,-74/51) -> (82/31,45/17) Hyperbolic Matrix(1559,2262,1182,1715) (-74/51,-29/20) -> (29/22,4/3) Hyperbolic Matrix(701,1014,-486,-703) (-29/20,-13/9) -> (-13/9,-49/34) Parabolic Matrix(1949,2808,270,389) (-49/34,-85/59) -> (7/1,29/4) Hyperbolic Matrix(11155,16068,6228,8971) (-121/84,-36/25) -> (120/67,43/24) Hyperbolic Matrix(1951,2808,922,1327) (-95/66,-59/41) -> (19/9,17/8) Hyperbolic Matrix(4289,6162,1248,1793) (-23/16,-79/55) -> (79/23,55/16) Hyperbolic Matrix(4291,6162,3314,4759) (-79/55,-56/39) -> (22/17,79/61) Hyperbolic Matrix(38141,54756,11572,16613) (-145/101,-234/163) -> (234/71,89/27) Hyperbolic Matrix(38143,54756,11574,16615) (-234/163,-89/62) -> (145/44,234/71) Hyperbolic Matrix(9673,13884,3696,5305) (-89/62,-33/23) -> (123/47,89/34) Hyperbolic Matrix(3589,5148,762,1093) (-33/23,-76/53) -> (80/17,33/7) Hyperbolic Matrix(20671,29640,14416,20671) (-76/53,-195/136) -> (195/136,76/53) Hyperbolic Matrix(32369,46410,22576,32369) (-195/136,-119/83) -> (119/83,195/136) Hyperbolic Matrix(4135,5928,708,1015) (-119/83,-43/30) -> (35/6,41/7) Hyperbolic Matrix(2341,3354,654,937) (-43/30,-10/7) -> (68/19,43/12) Hyperbolic Matrix(2573,3666,492,701) (-57/40,-47/33) -> (47/9,21/4) Hyperbolic Matrix(2027,2886,328,467) (-47/33,-84/59) -> (6/1,31/5) Hyperbolic Matrix(2575,3666,-2136,-3041) (-84/59,-37/26) -> (-41/34,-6/5) Hyperbolic Matrix(10531,14976,2798,3979) (-64/45,-155/109) -> (79/21,64/17) Hyperbolic Matrix(19967,28392,8776,12479) (-155/109,-91/64) -> (91/40,157/69) Hyperbolic Matrix(2963,4212,548,779) (-91/64,-27/19) -> (27/5,65/12) Hyperbolic Matrix(1483,2106,1264,1795) (-27/19,-71/50) -> (7/6,27/23) Hyperbolic Matrix(7253,10296,4450,6317) (-115/81,-44/31) -> (44/27,119/73) Hyperbolic Matrix(4289,6084,1264,1793) (-61/43,-78/55) -> (78/23,17/5) Hyperbolic Matrix(4291,6084,1266,1795) (-78/55,-17/12) -> (61/18,78/23) Hyperbolic Matrix(11857,16770,-9154,-12947) (-58/41,-99/70) -> (-57/44,-136/105) Hyperbolic Matrix(4525,6396,994,1405) (-41/29,-106/75) -> (50/11,41/9) Hyperbolic Matrix(51635,72852,20012,28235) (-103/73,-182/129) -> (338/131,209/81) Hyperbolic Matrix(4369,6162,1328,1873) (-79/56,-55/39) -> (23/7,79/24) Hyperbolic Matrix(3043,4290,388,547) (-86/61,-117/83) -> (39/5,8/1) Hyperbolic Matrix(3431,4836,442,623) (-117/83,-31/22) -> (31/4,39/5) Hyperbolic Matrix(1717,2418,1330,1873) (-31/22,-38/27) -> (40/31,31/24) Hyperbolic Matrix(389,546,166,233) (-38/27,-7/5) -> (7/3,40/17) Hyperbolic Matrix(391,546,280,391) (-7/5,-39/28) -> (39/28,7/5) Hyperbolic Matrix(1793,2496,1288,1793) (-39/28,-32/23) -> (32/23,39/28) Hyperbolic Matrix(3197,4446,1738,2417) (-32/23,-89/64) -> (11/6,46/25) Hyperbolic Matrix(1795,2496,-1626,-2261) (-89/64,-57/41) -> (-21/19,-11/10) Hyperbolic Matrix(1403,1950,336,467) (-57/41,-25/18) -> (25/6,21/5) Hyperbolic Matrix(3821,5304,-3316,-4603) (-25/18,-93/67) -> (-15/13,-53/46) Hyperbolic Matrix(15679,21762,-13318,-18485) (-93/67,-161/116) -> (-73/62,-93/79) Hyperbolic Matrix(109589,152100,30628,42509) (-161/116,-390/281) -> (390/109,229/64) Hyperbolic Matrix(109591,152100,30630,42511) (-390/281,-229/165) -> (161/45,390/109) Hyperbolic Matrix(2417,3354,730,1013) (-68/49,-43/31) -> (43/13,10/3) Hyperbolic Matrix(4837,6708,2138,2965) (-43/31,-104/75) -> (52/23,43/19) Hyperbolic Matrix(2419,3354,282,391) (-104/75,-61/44) -> (17/2,26/3) Hyperbolic Matrix(4445,6162,-3658,-5071) (-61/44,-79/57) -> (-79/65,-17/14) Hyperbolic Matrix(2027,2808,1238,1715) (-79/57,-18/13) -> (18/11,77/47) Hyperbolic Matrix(8579,11856,5982,8267) (-123/89,-76/55) -> (76/53,33/23) Hyperbolic Matrix(28001,38688,5814,8033) (-181/131,-286/207) -> (130/27,53/11) Hyperbolic Matrix(2261,3120,508,701) (-69/50,-40/29) -> (40/9,9/2) Hyperbolic Matrix(5147,7098,678,935) (-40/29,-131/95) -> (53/7,38/5) Hyperbolic Matrix(5771,7956,1244,1715) (-91/66,-51/37) -> (51/11,65/14) Hyperbolic Matrix(625,858,228,313) (-11/8,-37/27) -> (41/15,11/4) Hyperbolic Matrix(1481,2028,398,545) (-37/27,-26/19) -> (26/7,41/11) Hyperbolic Matrix(1483,2028,400,547) (-26/19,-41/30) -> (37/10,26/7) Hyperbolic Matrix(857,1170,742,1013) (-56/41,-15/11) -> (15/13,22/19) Hyperbolic Matrix(10997,14976,3264,4445) (-79/58,-64/47) -> (64/19,155/46) Hyperbolic Matrix(3667,4992,-3036,-4133) (-64/47,-49/36) -> (-29/24,-64/53) Hyperbolic Matrix(2809,3822,574,781) (-83/61,-117/86) -> (39/8,5/1) Hyperbolic Matrix(3899,5304,802,1091) (-117/86,-34/25) -> (34/7,39/8) Hyperbolic Matrix(1091,1482,918,1247) (-53/39,-19/14) -> (19/16,25/21) Hyperbolic Matrix(1093,1482,576,781) (-19/14,-61/45) -> (17/9,19/10) Hyperbolic Matrix(1327,1794,520,703) (-23/17,-27/20) -> (51/20,23/9) Hyperbolic Matrix(1715,2262,1182,1559) (-4/3,-29/22) -> (29/20,74/51) Hyperbolic Matrix(1717,2262,356,469) (-29/22,-25/19) -> (53/11,29/6) Hyperbolic Matrix(1483,1950,416,547) (-25/19,-21/16) -> (57/16,25/7) Hyperbolic Matrix(2497,3276,952,1249) (-21/16,-59/45) -> (97/37,21/8) Hyperbolic Matrix(18563,24336,4402,5771) (-59/45,-156/119) -> (156/37,97/23) Hyperbolic Matrix(18565,24336,4404,5773) (-156/119,-97/74) -> (59/14,156/37) Hyperbolic Matrix(1013,1326,178,233) (-38/29,-17/13) -> (17/3,40/7) Hyperbolic Matrix(17629,23010,11116,14509) (-124/95,-77/59) -> (157/99,46/29) Hyperbolic Matrix(779,1014,-600,-781) (-30/23,-13/10) -> (-13/10,-48/37) Parabolic Matrix(4991,6474,2164,2807) (-48/37,-83/64) -> (83/36,30/13) Hyperbolic Matrix(16303,21138,9566,12403) (-118/91,-35/27) -> (121/71,196/115) Hyperbolic Matrix(4213,5460,-3490,-4523) (-35/27,-92/71) -> (-64/53,-35/29) Hyperbolic Matrix(5539,7176,2108,2731) (-92/71,-57/44) -> (21/8,92/35) Hyperbolic Matrix(16381,21216,9998,12949) (-136/105,-79/61) -> (77/47,136/83) Hyperbolic Matrix(4759,6162,3314,4291) (-79/61,-22/17) -> (56/39,79/55) Hyperbolic Matrix(10919,14118,4584,5927) (-75/58,-53/41) -> (131/55,81/34) Hyperbolic Matrix(1871,2418,-1570,-2029) (-53/41,-31/24) -> (-31/26,-25/21) Hyperbolic Matrix(1873,2418,1330,1717) (-31/24,-40/31) -> (38/27,31/22) Hyperbolic Matrix(2419,3120,666,859) (-40/31,-9/7) -> (69/19,40/11) Hyperbolic Matrix(4991,6396,1460,1871) (-50/39,-41/32) -> (41/12,106/31) Hyperbolic Matrix(23867,30576,9132,11699) (-41/32,-155/121) -> (311/119,115/44) Hyperbolic Matrix(4757,6084,1036,1325) (-55/43,-78/61) -> (78/17,23/5) Hyperbolic Matrix(4759,6084,1038,1327) (-78/61,-23/18) -> (55/12,78/17) Hyperbolic Matrix(1405,1794,856,1093) (-23/18,-37/29) -> (41/25,23/14) Hyperbolic Matrix(6241,7956,1714,2185) (-51/40,-65/51) -> (91/25,51/14) Hyperbolic Matrix(7957,10140,3306,4213) (-65/51,-79/62) -> (77/32,65/27) Hyperbolic Matrix(4837,6162,3552,4525) (-79/62,-14/11) -> (64/47,79/58) Hyperbolic Matrix(4055,5148,1228,1559) (-80/63,-33/26) -> (33/10,76/23) Hyperbolic Matrix(1169,1482,676,857) (-33/26,-19/15) -> (19/11,45/26) Hyperbolic Matrix(1171,1482,802,1015) (-19/15,-43/34) -> (35/24,19/13) Hyperbolic Matrix(1481,1872,678,857) (-43/34,-24/19) -> (24/11,35/16) Hyperbolic Matrix(30655,38688,8468,10687) (-130/103,-53/42) -> (181/50,286/79) Hyperbolic Matrix(1793,2262,432,545) (-53/42,-29/23) -> (29/7,25/6) Hyperbolic Matrix(4213,5304,1116,1405) (-34/27,-39/31) -> (117/31,34/9) Hyperbolic Matrix(3041,3822,806,1013) (-39/31,-5/4) -> (83/22,117/31) Hyperbolic Matrix(2263,2808,818,1015) (-5/4,-31/25) -> (47/17,83/30) Hyperbolic Matrix(1637,2028,314,389) (-31/25,-26/21) -> (26/5,47/9) Hyperbolic Matrix(1639,2028,316,391) (-26/21,-47/38) -> (31/6,26/5) Hyperbolic Matrix(2965,3666,884,1093) (-47/38,-21/17) -> (57/17,47/14) Hyperbolic Matrix(12323,15210,4802,5927) (-79/64,-58/47) -> (136/53,77/30) Hyperbolic Matrix(1015,1248,318,391) (-16/13,-43/35) -> (35/11,16/5) Hyperbolic Matrix(3433,4212,1018,1249) (-27/22,-65/53) -> (91/27,27/8) Hyperbolic Matrix(6553,8034,1146,1405) (-103/84,-38/31) -> (40/7,103/18) Hyperbolic Matrix(703,858,576,703) (-11/9,-39/32) -> (39/32,11/9) Hyperbolic Matrix(1793,2184,1472,1793) (-39/32,-28/23) -> (28/23,39/32) Hyperbolic Matrix(1795,2184,706,859) (-28/23,-45/37) -> (33/13,28/11) Hyperbolic Matrix(1093,1326,258,313) (-17/14,-40/33) -> (38/9,17/4) Hyperbolic Matrix(6629,8034,1222,1481) (-40/33,-103/85) -> (103/19,38/7) Hyperbolic Matrix(1483,1794,968,1171) (-23/19,-52/43) -> (26/17,23/15) Hyperbolic Matrix(3743,4524,1548,1871) (-52/43,-29/24) -> (29/12,104/43) Hyperbolic Matrix(4913,5928,1486,1793) (-35/29,-41/34) -> (119/36,43/13) Hyperbolic Matrix(2419,2886,720,859) (-6/5,-31/26) -> (47/14,84/25) Hyperbolic Matrix(1639,1950,722,859) (-25/21,-19/16) -> (59/26,25/11) Hyperbolic Matrix(857,1014,-726,-859) (-32/27,-13/11) -> (-13/11,-46/39) Parabolic Matrix(15677,18486,5754,6785) (-46/39,-79/67) -> (79/29,188/69) Hyperbolic Matrix(9593,11310,5358,6317) (-79/67,-33/28) -> (111/62,77/43) Hyperbolic Matrix(3509,4134,2184,2573) (-33/28,-53/45) -> (53/33,45/28) Hyperbolic Matrix(1327,1560,598,703) (-20/17,-27/23) -> (51/23,20/9) Hyperbolic Matrix(1795,2106,1264,1483) (-27/23,-7/6) -> (71/50,27/19) Hyperbolic Matrix(2419,2808,740,859) (-7/6,-29/25) -> (49/15,85/26) Hyperbolic Matrix(1013,1170,742,857) (-22/19,-15/13) -> (15/11,56/41) Hyperbolic Matrix(6163,7098,1694,1951) (-53/46,-38/33) -> (40/11,131/36) Hyperbolic Matrix(4213,4836,1224,1405) (-31/27,-39/34) -> (117/34,31/9) Hyperbolic Matrix(3743,4290,1088,1247) (-39/34,-8/7) -> (86/25,117/34) Hyperbolic Matrix(547,624,206,235) (-8/7,-25/22) -> (53/20,8/3) Hyperbolic Matrix(2963,3354,826,935) (-17/15,-26/23) -> (104/29,61/17) Hyperbolic Matrix(623,702,276,311) (-26/23,-9/8) -> (9/4,52/23) Hyperbolic Matrix(1793,1950,788,857) (-12/11,-1/1) -> (157/69,66/29) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(2419,-2652,924,-1013) (1/1,11/10) -> (89/34,233/89) Hyperbolic Matrix(703,-780,210,-233) (11/10,10/9) -> (10/3,67/20) Hyperbolic Matrix(1327,-1482,488,-545) (10/9,9/8) -> (87/32,68/25) Hyperbolic Matrix(1717,-1950,1098,-1247) (17/15,8/7) -> (86/55,61/39) Hyperbolic Matrix(2105,-2418,612,-703) (8/7,23/20) -> (55/16,86/25) Hyperbolic Matrix(1559,-1794,272,-313) (23/20,15/13) -> (63/11,23/4) Hyperbolic Matrix(1481,-1716,876,-1015) (22/19,7/6) -> (71/42,22/13) Hyperbolic Matrix(7021,-8268,3046,-3587) (20/17,53/45) -> (53/23,136/59) Hyperbolic Matrix(3041,-3588,1918,-2263) (33/28,13/11) -> (65/41,111/70) Hyperbolic Matrix(1249,-1482,788,-935) (13/11,19/16) -> (19/12,65/41) Hyperbolic Matrix(2029,-2418,1570,-1871) (25/21,6/5) -> (84/65,53/41) Hyperbolic Matrix(3041,-3666,2136,-2575) (6/5,35/29) -> (121/85,84/59) Hyperbolic Matrix(4133,-4992,3036,-3667) (35/29,29/24) -> (49/36,113/83) Hyperbolic Matrix(1481,-1794,194,-235) (23/19,40/33) -> (38/5,23/3) Hyperbolic Matrix(2887,-3510,1988,-2417) (17/14,45/37) -> (45/31,61/42) Hyperbolic Matrix(701,-858,192,-235) (11/9,27/22) -> (51/14,11/3) Hyperbolic Matrix(1715,-2106,636,-781) (27/22,16/13) -> (62/23,27/10) Hyperbolic Matrix(1013,-1248,444,-547) (16/13,21/17) -> (57/25,16/7) Hyperbolic Matrix(2105,-2652,558,-703) (5/4,29/23) -> (49/13,83/22) Hyperbolic Matrix(2965,-3744,864,-1091) (53/42,24/19) -> (24/7,103/30) Hyperbolic Matrix(859,-1092,306,-389) (33/26,14/11) -> (14/5,45/16) Hyperbolic Matrix(2263,-2886,672,-857) (14/11,37/29) -> (37/11,64/19) Hyperbolic Matrix(1951,-2496,426,-545) (23/18,32/25) -> (32/7,55/12) Hyperbolic Matrix(4447,-5694,1644,-2105) (32/25,41/32) -> (119/44,46/17) Hyperbolic Matrix(3041,-3900,1278,-1639) (41/32,9/7) -> (69/29,119/50) Hyperbolic Matrix(1327,-1716,904,-1169) (53/41,22/17) -> (22/15,25/17) Hyperbolic Matrix(4757,-6162,904,-1171) (79/61,57/44) -> (21/4,79/15) Hyperbolic Matrix(9751,-12636,7162,-9281) (92/71,35/27) -> (113/83,64/47) Hyperbolic Matrix(781,-1014,600,-779) (35/27,13/10) -> (13/10,43/33) Parabolic Matrix(2573,-3354,1018,-1327) (43/33,73/56) -> (5/2,43/17) Hyperbolic Matrix(1015,-1326,656,-857) (30/23,17/13) -> (17/11,48/31) Hyperbolic Matrix(4523,-5928,1072,-1405) (38/29,59/45) -> (97/23,38/9) Hyperbolic Matrix(1795,-2418,752,-1013) (4/3,27/20) -> (105/44,74/31) Hyperbolic Matrix(1325,-1794,404,-547) (23/17,19/14) -> (59/18,23/7) Hyperbolic Matrix(1951,-2652,860,-1169) (19/14,34/25) -> (34/15,59/26) Hyperbolic Matrix(1949,-2652,402,-547) (34/25,49/36) -> (29/6,34/7) Hyperbolic Matrix(9047,-12324,1604,-2185) (79/58,15/11) -> (141/25,79/14) Hyperbolic Matrix(4681,-6396,1826,-2495) (56/41,41/30) -> (41/16,100/39) Hyperbolic Matrix(623,-858,114,-157) (11/8,40/29) -> (38/7,11/2) Hyperbolic Matrix(1639,-2262,734,-1013) (40/29,29/21) -> (29/13,38/17) Hyperbolic Matrix(1015,-1404,394,-545) (29/21,18/13) -> (18/7,49/19) Hyperbolic Matrix(6865,-9516,4726,-6551) (79/57,61/44) -> (61/42,77/53) Hyperbolic Matrix(19109,-26520,5340,-7411) (68/49,161/116) -> (229/64,68/19) Hyperbolic Matrix(32369,-44928,13544,-18799) (161/116,93/67) -> (141/59,239/100) Hyperbolic Matrix(8035,-11154,1404,-1949) (93/67,25/18) -> (103/18,63/11) Hyperbolic Matrix(6395,-8892,1908,-2653) (57/41,89/64) -> (67/20,57/17) Hyperbolic Matrix(1715,-2418,222,-313) (31/22,55/39) -> (23/3,31/4) Hyperbolic Matrix(2653,-3744,552,-779) (79/56,24/17) -> (24/5,77/16) Hyperbolic Matrix(1325,-1872,608,-859) (24/17,41/29) -> (37/17,24/11) Hyperbolic Matrix(937,-1326,330,-467) (41/29,17/12) -> (17/6,37/13) Hyperbolic Matrix(2419,-3432,714,-1013) (17/12,44/31) -> (44/13,61/18) Hyperbolic Matrix(7801,-11076,2856,-4055) (44/31,71/50) -> (71/26,112/41) Hyperbolic Matrix(2029,-2886,438,-623) (27/19,37/26) -> (37/8,51/11) Hyperbolic Matrix(547,-780,54,-77) (57/40,10/7) -> (10/1,21/2) Hyperbolic Matrix(9127,-13104,2770,-3977) (89/62,56/39) -> (56/17,145/44) Hyperbolic Matrix(1247,-1794,326,-469) (23/16,36/25) -> (42/11,23/6) Hyperbolic Matrix(703,-1014,486,-701) (36/25,13/9) -> (13/9,42/29) Parabolic Matrix(11467,-16614,4360,-6317) (42/29,71/49) -> (71/27,192/73) Hyperbolic Matrix(5851,-8502,1556,-2261) (77/53,16/11) -> (94/25,79/21) Hyperbolic Matrix(2185,-3198,852,-1247) (19/13,22/15) -> (100/39,59/23) Hyperbolic Matrix(2185,-3354,914,-1403) (23/15,20/13) -> (98/41,55/23) Hyperbolic Matrix(859,-1326,252,-389) (20/13,17/11) -> (17/5,58/17) Hyperbolic Matrix(3979,-6162,1460,-2261) (48/31,31/20) -> (109/40,30/11) Hyperbolic Matrix(703,-1092,150,-233) (31/20,14/9) -> (14/3,47/10) Hyperbolic Matrix(3589,-5616,1096,-1715) (61/39,36/23) -> (36/11,95/29) Hyperbolic Matrix(547,-858,248,-389) (36/23,11/7) -> (11/5,42/19) Hyperbolic Matrix(1483,-2340,642,-1013) (41/26,30/19) -> (30/13,37/16) Hyperbolic Matrix(2963,-4680,692,-1093) (30/19,79/50) -> (77/18,30/7) Hyperbolic Matrix(937,-1482,98,-155) (68/43,19/12) -> (19/2,10/1) Hyperbolic Matrix(1327,-2106,540,-857) (46/29,27/17) -> (27/11,32/13) Hyperbolic Matrix(1325,-2106,246,-391) (27/17,35/22) -> (43/8,27/5) Hyperbolic Matrix(391,-624,146,-233) (35/22,8/5) -> (8/3,43/16) Hyperbolic Matrix(7955,-12792,3008,-4837) (82/51,37/23) -> (119/45,82/31) Hyperbolic Matrix(3821,-6162,1500,-2419) (79/49,50/31) -> (28/11,79/31) Hyperbolic Matrix(11699,-18876,3578,-5773) (121/75,71/44) -> (85/26,121/37) Hyperbolic Matrix(13339,-21528,5074,-8189) (71/44,92/57) -> (92/35,163/62) Hyperbolic Matrix(3665,-5928,1592,-2575) (76/47,55/34) -> (23/10,76/33) Hyperbolic Matrix(5303,-8580,3086,-4993) (55/34,89/55) -> (67/39,55/32) Hyperbolic Matrix(4915,-7956,2746,-4445) (123/76,34/21) -> (34/19,111/62) Hyperbolic Matrix(625,-1014,384,-623) (34/21,13/8) -> (13/8,44/27) Parabolic Matrix(859,-1404,238,-389) (31/19,18/11) -> (18/5,47/13) Hyperbolic Matrix(3901,-6396,1046,-1715) (59/36,41/25) -> (41/11,97/26) Hyperbolic Matrix(3743,-6162,1422,-2341) (51/31,28/17) -> (50/19,129/49) Hyperbolic Matrix(1559,-2574,662,-1093) (33/20,5/3) -> (73/31,33/14) Hyperbolic Matrix(1249,-2106,462,-779) (5/3,27/16) -> (27/10,73/27) Hyperbolic Matrix(4525,-7644,1754,-2963) (27/16,49/29) -> (49/19,129/50) Hyperbolic Matrix(16535,-28158,2932,-4993) (63/37,172/101) -> (62/11,141/25) Hyperbolic Matrix(39389,-67080,16260,-27691) (172/101,109/64) -> (281/116,172/71) Hyperbolic Matrix(14975,-25506,5496,-9361) (109/64,46/27) -> (188/69,109/40) Hyperbolic Matrix(1871,-3198,822,-1405) (41/24,12/7) -> (66/29,41/18) Hyperbolic Matrix(545,-936,46,-79) (12/7,67/39) -> (11/1,12/1) Hyperbolic Matrix(1951,-3354,680,-1169) (55/32,43/25) -> (43/15,23/8) Hyperbolic Matrix(1405,-2418,362,-623) (74/43,31/18) -> (31/8,4/1) Hyperbolic Matrix(9049,-15600,3800,-6551) (131/76,50/29) -> (50/21,181/76) Hyperbolic Matrix(2261,-3900,498,-859) (50/29,69/40) -> (9/2,50/11) Hyperbolic Matrix(1717,-2964,632,-1091) (69/40,19/11) -> (19/7,87/32) Hyperbolic Matrix(1481,-2574,584,-1015) (33/19,40/23) -> (38/15,33/13) Hyperbolic Matrix(1327,-2340,486,-857) (7/4,30/17) -> (30/11,71/26) Hyperbolic Matrix(4681,-8268,706,-1247) (83/47,53/30) -> (53/8,73/11) Hyperbolic Matrix(3353,-5928,1280,-2263) (53/30,23/13) -> (55/21,131/50) Hyperbolic Matrix(701,-1248,132,-235) (16/9,41/23) -> (37/7,16/3) Hyperbolic Matrix(1793,-3198,744,-1327) (41/23,25/14) -> (53/22,41/17) Hyperbolic Matrix(1483,-2652,392,-701) (25/14,34/19) -> (34/9,53/14) Hyperbolic Matrix(29093,-52104,10758,-19267) (77/43,120/67) -> (192/71,311/115) Hyperbolic Matrix(1249,-2262,344,-623) (9/5,29/16) -> (29/8,69/19) Hyperbolic Matrix(859,-1560,386,-701) (29/16,20/11) -> (20/9,49/22) Hyperbolic Matrix(2653,-4836,1112,-2027) (51/28,31/17) -> (31/13,105/44) Hyperbolic Matrix(469,-858,170,-311) (31/17,11/6) -> (11/4,47/17) Hyperbolic Matrix(1013,-1872,296,-547) (24/13,13/7) -> (65/19,24/7) Hyperbolic Matrix(1717,-3198,502,-935) (13/7,28/15) -> (106/31,65/19) Hyperbolic Matrix(1793,-3354,626,-1171) (43/23,15/8) -> (63/22,43/15) Hyperbolic Matrix(3121,-6708,1306,-2807) (15/7,43/20) -> (43/18,141/59) Hyperbolic Matrix(469,-1014,216,-467) (28/13,13/6) -> (13/6,50/23) Parabolic Matrix(7723,-17082,2856,-6317) (42/19,73/33) -> (73/27,192/71) Hyperbolic Matrix(1091,-2418,282,-625) (31/14,51/23) -> (27/7,31/8) Hyperbolic Matrix(12091,-27378,2652,-6005) (120/53,77/34) -> (155/34,114/25) Hyperbolic Matrix(3511,-7956,1342,-3041) (77/34,34/15) -> (34/13,157/60) Hyperbolic Matrix(4835,-10998,892,-2029) (25/11,91/40) -> (65/12,103/19) Hyperbolic Matrix(2807,-6396,822,-1873) (41/18,57/25) -> (99/29,41/12) Hyperbolic Matrix(8737,-20124,3386,-7799) (76/33,53/23) -> (209/81,80/31) Hyperbolic Matrix(17629,-40638,7376,-17003) (136/59,83/36) -> (239/100,98/41) Hyperbolic Matrix(1481,-3432,438,-1015) (37/16,7/3) -> (71/21,115/34) Hyperbolic Matrix(5069,-11934,1160,-2731) (40/17,73/31) -> (83/19,118/27) Hyperbolic Matrix(623,-1482,66,-157) (19/8,69/29) -> (9/1,19/2) Hyperbolic Matrix(3587,-8580,1370,-3277) (55/23,12/5) -> (144/55,55/21) Hyperbolic Matrix(5539,-13338,1522,-3665) (65/27,53/22) -> (131/36,91/25) Hyperbolic Matrix(6473,-15678,1514,-3667) (46/19,109/45) -> (47/11,124/29) Hyperbolic Matrix(3509,-8502,934,-2263) (172/71,63/26) -> (15/4,94/25) Hyperbolic Matrix(701,-1716,96,-235) (22/9,49/20) -> (29/4,22/3) Hyperbolic Matrix(2419,-5928,668,-1637) (49/20,27/11) -> (105/29,29/8) Hyperbolic Matrix(1013,-2496,222,-547) (32/13,5/2) -> (73/16,32/7) Hyperbolic Matrix(9671,-24648,2816,-7177) (79/31,130/51) -> (182/53,79/23) Hyperbolic Matrix(13339,-34008,5170,-13181) (130/51,51/20) -> (129/50,338/131) Hyperbolic Matrix(2417,-6240,514,-1327) (80/31,31/12) -> (47/10,80/17) Hyperbolic Matrix(391,-1014,150,-389) (31/12,13/5) -> (13/5,47/18) Parabolic Matrix(9049,-23712,2500,-6551) (131/50,76/29) -> (76/21,181/50) Hyperbolic Matrix(22309,-58734,6162,-16223) (129/49,208/79) -> (286/79,105/29) Hyperbolic Matrix(9983,-26286,2074,-5461) (208/79,79/30) -> (77/16,130/27) Hyperbolic Matrix(547,-1482,86,-233) (46/17,19/7) -> (19/3,32/5) Hyperbolic Matrix(4369,-12090,958,-2651) (83/30,36/13) -> (114/25,73/16) Hyperbolic Matrix(1717,-4758,450,-1247) (36/13,61/22) -> (61/16,42/11) Hyperbolic Matrix(703,-1950,84,-233) (61/22,25/9) -> (25/3,17/2) Hyperbolic Matrix(2105,-5928,582,-1639) (45/16,31/11) -> (47/13,123/34) Hyperbolic Matrix(469,-1326,110,-311) (31/11,17/6) -> (17/4,47/11) Hyperbolic Matrix(1013,-2886,192,-547) (37/13,20/7) -> (58/11,37/7) Hyperbolic Matrix(1091,-3120,164,-469) (20/7,63/22) -> (93/14,20/3) Hyperbolic Matrix(547,-1716,124,-389) (3/1,22/7) -> (22/5,75/17) Hyperbolic Matrix(1015,-3198,272,-857) (22/7,19/6) -> (97/26,56/15) Hyperbolic Matrix(1093,-3510,194,-623) (16/5,45/14) -> (45/8,62/11) Hyperbolic Matrix(313,-1014,96,-311) (29/9,13/4) -> (13/4,49/15) Parabolic Matrix(1091,-3666,186,-625) (84/25,37/11) -> (41/7,6/1) Hyperbolic Matrix(4913,-16770,1120,-3823) (58/17,99/29) -> (57/13,136/31) Hyperbolic Matrix(701,-2496,66,-235) (89/25,57/16) -> (21/2,11/1) Hyperbolic Matrix(1483,-5304,196,-701) (25/7,93/26) -> (15/2,53/7) Hyperbolic Matrix(6083,-21762,916,-3277) (93/26,161/45) -> (73/11,93/14) Hyperbolic Matrix(1717,-6162,304,-1091) (61/17,79/22) -> (79/14,17/3) Hyperbolic Matrix(1325,-4992,228,-859) (64/17,49/13) -> (29/5,64/11) Hyperbolic Matrix(235,-1014,54,-233) (30/7,13/3) -> (13/3,48/11) Parabolic Matrix(1247,-5460,214,-937) (35/8,92/21) -> (64/11,35/6) Hyperbolic Matrix(547,-2418,88,-389) (53/12,31/7) -> (31/5,25/4) Hyperbolic Matrix(157,-1014,24,-155) (32/5,13/2) -> (13/2,46/7) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(233,2652,-144,-1639) -> Matrix(1,0,2,1) Matrix(77,780,-54,-547) -> Matrix(1,-4,0,1) Matrix(155,1482,-98,-937) -> Matrix(1,10,0,1) Matrix(79,702,44,391) -> Matrix(1,2,2,5) Matrix(391,3354,282,2419) -> Matrix(1,2,2,5) Matrix(233,1950,-84,-703) -> Matrix(1,2,6,13) Matrix(313,2418,-222,-1715) -> Matrix(5,4,-4,-3) Matrix(235,1794,-194,-1481) -> Matrix(1,2,-2,-3) Matrix(157,1170,42,313) -> Matrix(1,0,2,1) Matrix(235,1716,-96,-701) -> Matrix(1,0,-6,1) Matrix(311,2106,92,623) -> Matrix(1,0,2,1) Matrix(233,1560,128,857) -> Matrix(3,-2,2,-1) Matrix(1247,8268,-706,-4681) -> Matrix(1,-4,4,-15) Matrix(625,4134,236,1561) -> Matrix(1,-4,0,1) Matrix(547,3588,-202,-1325) -> Matrix(1,-6,2,-11) Matrix(233,1482,-86,-547) -> Matrix(1,4,2,9) Matrix(235,1482,62,391) -> Matrix(1,2,2,5) Matrix(389,2418,-88,-547) -> Matrix(1,0,0,1) Matrix(625,3666,-186,-1091) -> Matrix(1,2,0,1) Matrix(859,4992,-228,-1325) -> Matrix(1,2,-2,-3) Matrix(781,4524,458,2653) -> Matrix(5,8,-2,-3) Matrix(311,1794,108,623) -> Matrix(1,2,0,1) Matrix(313,1794,-272,-1559) -> Matrix(1,2,-2,-3) Matrix(233,1326,178,1013) -> Matrix(1,2,0,1) Matrix(623,3510,-194,-1093) -> Matrix(3,4,2,3) Matrix(389,2184,236,1325) -> Matrix(3,4,2,3) Matrix(391,2184,70,391) -> Matrix(11,12,10,11) Matrix(155,858,28,155) -> Matrix(3,2,4,3) Matrix(157,858,-114,-623) -> Matrix(1,0,0,1) Matrix(391,2106,-246,-1325) -> Matrix(1,2,0,1) Matrix(235,1248,-132,-701) -> Matrix(1,0,-2,1) Matrix(701,3666,492,2573) -> Matrix(1,2,0,1) Matrix(389,2028,314,1637) -> Matrix(1,0,0,1) Matrix(391,2028,316,1639) -> Matrix(1,0,0,1) Matrix(469,2418,212,1093) -> Matrix(1,-2,2,-3) Matrix(547,2652,-402,-1949) -> Matrix(1,4,0,1) Matrix(469,2262,356,1717) -> Matrix(1,4,0,1) Matrix(779,3744,-552,-2653) -> Matrix(3,8,-2,-5) Matrix(391,1872,212,1015) -> Matrix(1,6,0,1) Matrix(311,1482,98,467) -> Matrix(1,2,2,5) Matrix(313,1482,132,625) -> Matrix(3,4,-4,-5) Matrix(233,1092,-150,-703) -> Matrix(1,-2,0,1) Matrix(623,2886,-438,-2029) -> Matrix(1,-2,0,1) Matrix(389,1794,152,701) -> Matrix(1,4,0,1) Matrix(545,2496,-426,-1951) -> Matrix(1,2,-2,-3) Matrix(1247,5694,-786,-3589) -> Matrix(1,4,0,1) Matrix(859,3900,-498,-2261) -> Matrix(1,4,0,1) Matrix(157,702,70,313) -> Matrix(3,4,2,3) Matrix(545,2418,158,701) -> Matrix(1,0,2,1) Matrix(1481,6552,1040,4601) -> Matrix(1,2,0,1) Matrix(389,1716,-124,-547) -> Matrix(1,2,0,1) Matrix(1403,6162,426,1871) -> Matrix(1,2,0,1) Matrix(1405,6162,-1138,-4991) -> Matrix(7,10,2,3) Matrix(1637,7176,1014,4445) -> Matrix(3,4,2,3) Matrix(2885,12636,-766,-3355) -> Matrix(3,4,2,3) Matrix(233,1014,-54,-235) -> Matrix(5,6,-6,-7) Matrix(781,3354,-472,-2027) -> Matrix(3,2,-2,-1) Matrix(1091,4680,618,2651) -> Matrix(3,2,-8,-5) Matrix(311,1326,-110,-469) -> Matrix(1,0,0,1) Matrix(313,1326,258,1093) -> Matrix(1,0,2,1) Matrix(1405,5928,-1072,-4523) -> Matrix(5,6,-6,-7) Matrix(779,3276,482,2027) -> Matrix(3,2,-2,-1) Matrix(467,1950,336,1403) -> Matrix(3,2,4,3) Matrix(545,2262,432,1793) -> Matrix(1,0,4,1) Matrix(547,2262,170,703) -> Matrix(1,0,0,1) Matrix(623,2418,-362,-1405) -> Matrix(1,2,0,1) Matrix(467,1794,284,1091) -> Matrix(1,0,2,1) Matrix(469,1794,-326,-1247) -> Matrix(1,-2,0,1) Matrix(701,2652,-392,-1483) -> Matrix(1,0,0,1) Matrix(703,2652,-558,-2105) -> Matrix(1,0,-4,1) Matrix(1637,6162,352,1325) -> Matrix(1,2,0,1) Matrix(3277,12324,-2696,-10139) -> Matrix(3,-2,-4,3) Matrix(313,1170,42,157) -> Matrix(1,0,2,1) Matrix(1715,6396,-1046,-3901) -> Matrix(1,0,-2,1) Matrix(545,2028,398,1481) -> Matrix(1,0,0,1) Matrix(547,2028,400,1483) -> Matrix(1,0,0,1) Matrix(233,858,148,545) -> Matrix(1,0,0,1) Matrix(235,858,-192,-701) -> Matrix(1,0,0,1) Matrix(623,2262,-344,-1249) -> Matrix(3,4,-4,-5) Matrix(389,1404,-238,-859) -> Matrix(1,0,0,1) Matrix(781,2808,304,1093) -> Matrix(1,0,0,1) Matrix(2651,9516,-826,-2965) -> Matrix(1,4,0,1) Matrix(935,3354,826,2963) -> Matrix(1,2,2,5) Matrix(1871,6708,1044,3743) -> Matrix(1,2,2,5) Matrix(937,3354,654,2341) -> Matrix(3,4,2,3) Matrix(7411,26520,-5340,-19109) -> Matrix(5,6,-6,-7) Matrix(12559,44928,-7304,-26129) -> Matrix(1,2,0,1) Matrix(3119,11154,-2574,-9205) -> Matrix(3,4,-4,-5) Matrix(547,1950,416,1483) -> Matrix(3,4,2,3) Matrix(2497,8892,-1752,-6239) -> Matrix(5,8,-2,-3) Matrix(1249,4446,570,2029) -> Matrix(3,4,8,11) Matrix(703,2496,198,703) -> Matrix(9,10,8,9) Matrix(155,546,44,155) -> Matrix(3,2,4,3) Matrix(157,546,90,313) -> Matrix(1,0,0,1) Matrix(701,2418,158,545) -> Matrix(1,0,2,1) Matrix(703,2418,-612,-2105) -> Matrix(5,4,-4,-3) Matrix(1793,6162,1248,4289) -> Matrix(11,8,4,3) Matrix(1091,3744,-864,-2965) -> Matrix(3,2,-8,-5) Matrix(547,1872,-296,-1013) -> Matrix(11,6,-2,-1) Matrix(389,1326,-252,-859) -> Matrix(1,0,2,1) Matrix(1013,3432,-714,-2419) -> Matrix(3,2,-2,-1) Matrix(3275,11076,-2076,-7021) -> Matrix(1,0,2,1) Matrix(623,2106,92,311) -> Matrix(1,0,2,1) Matrix(857,2886,-672,-2263) -> Matrix(1,0,2,1) Matrix(4757,15990,3318,11153) -> Matrix(11,-2,6,-1) Matrix(1951,6552,1510,5071) -> Matrix(1,0,2,1) Matrix(1093,3666,884,2965) -> Matrix(1,0,2,1) Matrix(233,780,-210,-703) -> Matrix(1,0,4,1) Matrix(1013,3354,730,2417) -> Matrix(3,2,4,3) Matrix(4837,15990,3398,11233) -> Matrix(11,6,-2,-1) Matrix(14041,46410,4248,14041) -> Matrix(43,22,84,43) Matrix(8969,29640,2714,8969) -> Matrix(29,14,60,29) Matrix(3589,11856,992,3277) -> Matrix(5,2,12,5) Matrix(4211,13884,2602,8579) -> Matrix(1,0,0,1) Matrix(3977,13104,-2770,-9127) -> Matrix(3,2,-2,-1) Matrix(1871,6162,426,1403) -> Matrix(1,2,0,1) Matrix(1873,6162,1328,4369) -> Matrix(11,4,8,3) Matrix(547,1794,-404,-1325) -> Matrix(1,0,2,1) Matrix(311,1014,-96,-313) -> Matrix(1,0,6,1) Matrix(5147,16614,-3190,-10297) -> Matrix(1,0,-2,1) Matrix(1717,5538,1016,3277) -> Matrix(11,-6,2,-1) Matrix(703,2262,170,547) -> Matrix(1,0,0,1) Matrix(2183,7020,1358,4367) -> Matrix(1,0,-2,1) Matrix(2651,8502,-1946,-6241) -> Matrix(1,0,0,1) Matrix(857,2730,318,1013) -> Matrix(1,2,-2,-3) Matrix(467,1482,98,311) -> Matrix(5,2,2,1) Matrix(1013,3198,-618,-1951) -> Matrix(1,0,-4,1) Matrix(779,2418,452,1403) -> Matrix(1,-2,0,1) Matrix(779,2262,322,935) -> Matrix(1,0,-2,1) Matrix(623,1794,108,311) -> Matrix(1,2,0,1) Matrix(1169,3354,-680,-1951) -> Matrix(5,2,2,1) Matrix(467,1326,-330,-937) -> Matrix(1,-2,0,1) Matrix(2183,6162,-1382,-3901) -> Matrix(3,2,-2,-1) Matrix(389,1092,-306,-859) -> Matrix(1,0,2,1) Matrix(391,1092,140,391) -> Matrix(1,0,10,1) Matrix(701,1950,252,701) -> Matrix(1,0,-18,1) Matrix(1715,4758,1068,2963) -> Matrix(1,0,-8,1) Matrix(2027,5616,-1408,-3901) -> Matrix(17,-4,-4,1) Matrix(311,858,-170,-469) -> Matrix(5,-2,-2,1) Matrix(313,858,228,625) -> Matrix(1,0,0,1) Matrix(857,2340,-486,-1327) -> Matrix(1,0,2,1) Matrix(1717,4680,-1316,-3587) -> Matrix(3,2,-2,-1) Matrix(2263,6162,1404,3823) -> Matrix(1,0,4,1) Matrix(4213,11466,1548,4213) -> Matrix(1,0,16,1) Matrix(5849,15912,2150,5849) -> Matrix(1,0,-30,1) Matrix(545,1482,-488,-1327) -> Matrix(1,0,-10,1) Matrix(13571,36738,5186,14039) -> Matrix(1,0,-2,1) Matrix(8501,23010,1988,5381) -> Matrix(3,-2,8,-5) Matrix(779,2106,-462,-1249) -> Matrix(5,-2,-2,1) Matrix(781,2106,-636,-1715) -> Matrix(1,0,-2,1) Matrix(233,624,-146,-391) -> Matrix(1,0,0,1) Matrix(1795,4758,1148,3043) -> Matrix(1,-8,0,1) Matrix(1561,4134,236,625) -> Matrix(1,-4,0,1) Matrix(2653,7020,1828,4837) -> Matrix(1,-2,0,1) Matrix(4837,12792,-3008,-7955) -> Matrix(1,-2,2,-3) Matrix(857,2262,502,1325) -> Matrix(1,-4,0,1) Matrix(2339,6162,1480,3899) -> Matrix(1,4,0,1) Matrix(2341,6162,-1422,-3743) -> Matrix(1,2,-2,-3) Matrix(2105,5538,978,2573) -> Matrix(1,0,-4,1) Matrix(7177,18876,-4982,-13103) -> Matrix(1,-4,0,1) Matrix(8189,21528,-5074,-13339) -> Matrix(1,0,0,1) Matrix(2731,7176,2108,5539) -> Matrix(3,2,4,3) Matrix(1249,3276,952,2497) -> Matrix(3,-2,2,-1) Matrix(625,1638,298,781) -> Matrix(3,-4,-2,3) Matrix(2263,5928,-1280,-3353) -> Matrix(1,-2,6,-11) Matrix(3277,8580,-1370,-3587) -> Matrix(1,-2,2,-3) Matrix(5305,13884,3696,9673) -> Matrix(1,0,0,1) Matrix(3041,7956,-1342,-3511) -> Matrix(1,-4,0,1) Matrix(389,1014,-150,-391) -> Matrix(1,-4,0,1) Matrix(3979,10296,1176,3043) -> Matrix(1,2,2,5) Matrix(28705,74256,10614,27457) -> Matrix(1,4,-2,-7) Matrix(122303,316368,46798,121055) -> Matrix(1,4,-2,-7) Matrix(76441,197730,29250,75661) -> Matrix(1,2,0,1) Matrix(11309,29250,4674,12089) -> Matrix(1,2,-2,-3) Matrix(1871,4836,1086,2807) -> Matrix(1,0,0,1) Matrix(545,1404,-394,-1015) -> Matrix(1,0,0,1) Matrix(1093,2808,304,781) -> Matrix(1,0,0,1) Matrix(8267,21216,1884,4835) -> Matrix(3,-26,2,-17) Matrix(20671,53040,8056,20671) -> Matrix(1,-42,0,1) Matrix(8969,23010,3496,8969) -> Matrix(1,20,0,1) Matrix(2495,6396,-1826,-4681) -> Matrix(1,2,0,1) Matrix(701,1794,152,389) -> Matrix(1,4,0,1) Matrix(703,1794,520,1327) -> Matrix(1,2,0,1) Matrix(2419,6162,-1500,-3821) -> Matrix(1,2,-2,-3) Matrix(859,2184,706,1795) -> Matrix(3,2,4,3) Matrix(1015,2574,-584,-1481) -> Matrix(1,0,2,1) Matrix(857,2106,-540,-1327) -> Matrix(5,2,2,1) Matrix(3119,7644,-1910,-4681) -> Matrix(9,2,-14,-3) Matrix(2261,5538,1560,3821) -> Matrix(11,2,-6,-1) Matrix(703,1716,288,703) -> Matrix(1,0,18,1) Matrix(545,1326,224,545) -> Matrix(1,0,-14,1) Matrix(547,1326,290,703) -> Matrix(9,-2,-4,1) Matrix(11623,28158,-9562,-23165) -> Matrix(11,-2,-16,3) Matrix(27691,67080,-16260,-39389) -> Matrix(15,-4,4,-1) Matrix(10531,25506,-6666,-16145) -> Matrix(9,-2,-4,1) Matrix(2965,7176,1354,3277) -> Matrix(1,0,0,1) Matrix(8735,21138,1998,4835) -> Matrix(13,-4,10,-3) Matrix(12637,30576,4836,11701) -> Matrix(5,-2,-2,1) Matrix(935,2262,322,779) -> Matrix(1,0,-2,1) Matrix(1871,4524,1548,3743) -> Matrix(5,-2,8,-3) Matrix(937,2262,582,1405) -> Matrix(1,0,-4,1) Matrix(1327,3198,-744,-1793) -> Matrix(1,0,-6,1) Matrix(391,936,-358,-857) -> Matrix(1,0,-2,1) Matrix(1403,3354,-914,-2185) -> Matrix(5,-2,-2,1) Matrix(4213,10062,1764,4213) -> Matrix(1,0,-4,1) Matrix(7253,17316,3038,7253) -> Matrix(3,-2,-4,3) Matrix(1013,2418,-752,-1795) -> Matrix(1,0,-2,1) Matrix(2029,4836,1244,2965) -> Matrix(1,0,0,1) Matrix(1015,2418,688,1639) -> Matrix(1,0,-2,1) Matrix(6551,15600,-3800,-9049) -> Matrix(3,-2,2,-1) Matrix(1639,3900,-1278,-3041) -> Matrix(1,0,-4,1) Matrix(1247,2964,-788,-1873) -> Matrix(11,-6,2,-1) Matrix(625,1482,132,313) -> Matrix(5,-4,4,-3) Matrix(857,2028,494,1169) -> Matrix(7,-6,-8,7) Matrix(859,2028,496,1171) -> Matrix(7,-8,-6,7) Matrix(1093,2574,-662,-1559) -> Matrix(1,-2,0,1) Matrix(233,546,166,389) -> Matrix(1,0,0,1) Matrix(1013,2340,-642,-1483) -> Matrix(1,-2,0,1) Matrix(2029,4680,1556,3589) -> Matrix(3,-8,2,-5) Matrix(3587,8268,-3046,-7021) -> Matrix(1,-4,4,-15) Matrix(2575,5928,-1592,-3665) -> Matrix(1,-6,2,-11) Matrix(781,1794,340,781) -> Matrix(1,-14,0,1) Matrix(545,1248,238,545) -> Matrix(1,10,0,1) Matrix(547,1248,-444,-1013) -> Matrix(1,2,0,1) Matrix(1405,3198,-822,-1871) -> Matrix(1,6,0,1) Matrix(1169,2652,-860,-1951) -> Matrix(1,0,0,1) Matrix(4993,11310,758,1717) -> Matrix(1,-2,0,1) Matrix(23011,52104,-14502,-32837) -> Matrix(1,4,0,1) Matrix(7097,16068,2170,4913) -> Matrix(1,2,4,9) Matrix(2965,6708,2138,4837) -> Matrix(1,2,2,5) Matrix(311,702,276,623) -> Matrix(1,2,2,5) Matrix(1013,2262,-734,-1639) -> Matrix(3,4,-4,-5) Matrix(701,1560,-386,-859) -> Matrix(9,8,-8,-7) Matrix(703,1560,598,1327) -> Matrix(3,2,-2,-1) Matrix(2183,4836,-1268,-2809) -> Matrix(1,0,2,1) Matrix(389,858,-248,-547) -> Matrix(5,2,2,1) Matrix(2029,4446,570,1249) -> Matrix(11,4,8,3) Matrix(3277,7176,1354,2965) -> Matrix(1,0,0,1) Matrix(857,1872,678,1481) -> Matrix(1,0,6,1) Matrix(859,1872,-608,-1325) -> Matrix(11,2,-6,-1) Matrix(1481,3198,-1048,-2263) -> Matrix(13,-2,-6,1) Matrix(2573,5538,978,2105) -> Matrix(1,0,-4,1) Matrix(1561,3354,-1016,-2183) -> Matrix(9,-2,-4,1) Matrix(623,1326,366,779) -> Matrix(9,-4,-2,1) Matrix(701,1482,184,389) -> Matrix(5,-4,4,-3) Matrix(781,1638,298,625) -> Matrix(3,-4,-2,3) Matrix(857,1638,530,1013) -> Matrix(3,-2,-4,3) Matrix(1481,2808,452,857) -> Matrix(3,-4,10,-13) Matrix(703,1326,290,547) -> Matrix(1,-2,-4,9) Matrix(3587,6708,-2086,-3901) -> Matrix(1,-2,0,1) Matrix(2965,5538,1838,3433) -> Matrix(1,-4,0,1) Matrix(545,1014,-294,-547) -> Matrix(1,-12,0,1) Matrix(4213,7800,1770,3277) -> Matrix(1,6,-2,-11) Matrix(1015,1872,212,391) -> Matrix(1,6,0,1) Matrix(3899,7176,2288,4211) -> Matrix(1,0,0,1) Matrix(2417,4446,1738,3197) -> Matrix(3,8,4,11) Matrix(9359,17082,-5898,-10765) -> Matrix(3,4,2,3) Matrix(1325,2418,1068,1949) -> Matrix(1,2,-2,-3) Matrix(1327,2418,-984,-1793) -> Matrix(1,2,-2,-3) Matrix(857,1560,128,233) -> Matrix(1,2,-2,-3) Matrix(3353,6084,1504,2729) -> Matrix(27,28,26,27) Matrix(3355,6084,1506,2731) -> Matrix(27,26,28,27) Matrix(389,702,302,545) -> Matrix(3,2,4,3) Matrix(391,702,44,79) -> Matrix(5,2,2,1) Matrix(3743,6708,1044,1871) -> Matrix(5,2,2,1) Matrix(12715,22776,4834,8659) -> Matrix(1,0,2,1) Matrix(15287,27378,-11934,-21373) -> Matrix(1,0,0,1) Matrix(4445,7956,-2746,-4915) -> Matrix(1,0,4,1) Matrix(1091,1950,174,311) -> Matrix(5,2,2,1) Matrix(6163,10998,-5026,-8969) -> Matrix(7,2,-4,-1) Matrix(15913,28392,4722,8425) -> Matrix(7,2,24,7) Matrix(1093,1950,88,157) -> Matrix(1,0,4,1) Matrix(3589,6396,-2538,-4523) -> Matrix(7,2,-4,-1) Matrix(703,1248,396,703) -> Matrix(1,0,10,1) Matrix(1013,1794,572,1013) -> Matrix(1,0,-14,1) Matrix(11387,20124,-6974,-12325) -> Matrix(7,-2,-10,3) Matrix(23009,40638,-13382,-23635) -> Matrix(13,-4,10,-3) Matrix(3667,6474,840,1483) -> Matrix(13,-4,10,-3) Matrix(1951,3432,-1374,-2417) -> Matrix(5,-2,-2,1) Matrix(313,546,90,157) -> Matrix(1,0,0,1) Matrix(6865,11934,-5294,-9203) -> Matrix(5,-4,-6,5) Matrix(1169,2028,494,857) -> Matrix(7,-6,-8,7) Matrix(1171,2028,496,859) -> Matrix(7,-8,-6,7) Matrix(857,1482,676,1169) -> Matrix(3,-4,4,-5) Matrix(859,1482,-768,-1325) -> Matrix(1,-2,-4,9) Matrix(4523,7800,2080,3587) -> Matrix(1,-2,6,-11) Matrix(56471,97344,23710,40871) -> Matrix(1,-2,-2,5) Matrix(56473,97344,23712,40873) -> Matrix(1,-2,-2,5) Matrix(8191,14118,1856,3199) -> Matrix(1,0,0,1) Matrix(3667,6318,1404,2419) -> Matrix(1,-4,0,1) Matrix(10063,17316,5848,10063) -> Matrix(3,-4,-2,3) Matrix(5849,10062,3400,5849) -> Matrix(1,-4,0,1) Matrix(4993,8580,-3086,-5303) -> Matrix(1,-2,2,-3) Matrix(8111,13884,3098,5303) -> Matrix(1,-4,0,1) Matrix(5927,10140,1276,2183) -> Matrix(3,-8,2,-5) Matrix(7799,13338,-5656,-9673) -> Matrix(1,-2,-2,5) Matrix(1325,2262,502,857) -> Matrix(1,-4,0,1) Matrix(2653,4524,458,781) -> Matrix(3,-8,2,-5) Matrix(1327,2262,870,1483) -> Matrix(1,-2,0,1) Matrix(17161,29250,10526,17941) -> Matrix(1,-2,2,-3) Matrix(7643,13026,3020,5147) -> Matrix(1,-2,0,1) Matrix(4211,7176,2288,3899) -> Matrix(1,0,0,1) Matrix(9205,15678,-7052,-12011) -> Matrix(1,-6,0,1) Matrix(89309,152100,36868,62789) -> Matrix(1,-4,-4,17) Matrix(89311,152100,36870,62791) -> Matrix(1,-4,-4,17) Matrix(4993,8502,-3664,-6239) -> Matrix(1,-4,0,1) Matrix(779,1326,366,623) -> Matrix(1,-4,-2,9) Matrix(781,1326,460,781) -> Matrix(1,-14,0,1) Matrix(1013,1716,598,1013) -> Matrix(1,18,0,1) Matrix(1015,1716,-876,-1481) -> Matrix(1,6,0,1) Matrix(3509,5928,-2540,-4291) -> Matrix(3,14,-2,-9) Matrix(1483,2496,-1158,-1949) -> Matrix(1,2,-2,-3) Matrix(7879,13026,3256,5383) -> Matrix(1,0,-2,1) Matrix(1325,2184,236,389) -> Matrix(3,4,2,3) Matrix(14977,24648,-10616,-17471) -> Matrix(7,2,-4,-1) Matrix(20669,34008,-12658,-20827) -> Matrix(5,2,-8,-3) Matrix(1091,1794,284,467) -> Matrix(1,0,2,1) Matrix(1093,1794,856,1405) -> Matrix(1,0,4,1) Matrix(14041,23010,8568,14041) -> Matrix(1,0,20,1) Matrix(32369,53040,19754,32369) -> Matrix(1,0,-42,1) Matrix(9283,15210,1762,2887) -> Matrix(1,0,-12,1) Matrix(1715,2808,1238,2027) -> Matrix(1,0,0,1) Matrix(44617,72852,12994,21217) -> Matrix(7,4,12,7) Matrix(3823,6240,-3010,-4913) -> Matrix(1,0,2,1) Matrix(623,1014,-384,-625) -> Matrix(1,0,4,1) Matrix(3899,6318,1636,2651) -> Matrix(1,0,-4,1) Matrix(18875,30576,11074,17939) -> Matrix(5,-2,-2,1) Matrix(122069,197730,74878,121289) -> Matrix(1,0,2,1) Matrix(195313,316368,119808,194065) -> Matrix(1,-2,4,-7) Matrix(18877,30576,4142,6709) -> Matrix(1,2,0,1) Matrix(8813,14274,3226,5225) -> Matrix(1,0,-2,1) Matrix(22699,36738,14314,23167) -> Matrix(1,-2,0,1) Matrix(8579,13884,2602,4211) -> Matrix(1,0,0,1) Matrix(8581,13884,3568,5773) -> Matrix(1,0,-4,1) Matrix(14663,23712,-10612,-17161) -> Matrix(13,-8,-8,5) Matrix(1013,1638,530,857) -> Matrix(3,-2,-4,3) Matrix(2027,3276,482,779) -> Matrix(1,-2,2,-3) Matrix(4445,7176,1014,1637) -> Matrix(3,4,2,3) Matrix(33929,54756,12904,20825) -> Matrix(1,0,0,1) Matrix(33931,54756,12906,20827) -> Matrix(1,0,0,1) Matrix(14117,22776,6236,10061) -> Matrix(1,2,0,1) Matrix(3433,5538,1838,2965) -> Matrix(1,-4,0,1) Matrix(36425,58734,-26364,-42511) -> Matrix(7,2,-4,-1) Matrix(16303,26286,-12916,-20825) -> Matrix(1,0,0,1) Matrix(3823,6162,1404,2263) -> Matrix(1,0,4,1) Matrix(1405,2262,582,937) -> Matrix(1,0,-4,1) Matrix(15131,24336,5722,9203) -> Matrix(5,-2,-2,1) Matrix(15133,24336,5724,9205) -> Matrix(5,-2,-2,1) Matrix(4367,7020,1358,2183) -> Matrix(1,0,-2,1) Matrix(2573,4134,2184,3509) -> Matrix(1,0,-4,1) Matrix(389,624,48,77) -> Matrix(3,-2,2,-1) Matrix(3821,6084,1420,2261) -> Matrix(9,-8,-10,9) Matrix(3823,6084,1422,2263) -> Matrix(9,-10,-8,9) Matrix(1717,2730,1178,1873) -> Matrix(1,-2,2,-3) Matrix(46799,74256,28708,45551) -> Matrix(1,-2,4,-7) Matrix(935,1482,-788,-1249) -> Matrix(1,-2,-4,9) Matrix(10063,15912,6364,10063) -> Matrix(1,-30,0,1) Matrix(7253,11466,4588,7253) -> Matrix(1,16,0,1) Matrix(3899,6162,1480,2339) -> Matrix(1,4,0,1) Matrix(11701,18486,1778,2809) -> Matrix(1,-2,0,1) Matrix(9049,14274,3462,5461) -> Matrix(1,-2,0,1) Matrix(545,858,148,233) -> Matrix(1,0,0,1) Matrix(1793,2808,348,545) -> Matrix(1,-4,0,1) Matrix(7721,12090,-6028,-9439) -> Matrix(1,-4,-2,9) Matrix(3041,4758,-2244,-3511) -> Matrix(1,-4,-2,9) Matrix(1247,1950,-1098,-1717) -> Matrix(1,-6,-2,13) Matrix(1249,1950,800,1249) -> Matrix(1,-18,0,1) Matrix(701,1092,450,701) -> Matrix(1,10,0,1) Matrix(3823,5928,-2766,-4289) -> Matrix(1,0,0,1) Matrix(857,1326,-656,-1015) -> Matrix(1,0,0,1) Matrix(1873,2886,-1518,-2339) -> Matrix(1,-2,0,1) Matrix(2029,3120,-1724,-2651) -> Matrix(1,4,2,9) Matrix(1171,1794,968,1483) -> Matrix(1,0,2,1) Matrix(1483,2262,870,1327) -> Matrix(1,-2,0,1) Matrix(1169,1716,-904,-1327) -> Matrix(1,0,-2,1) Matrix(2183,3198,-1598,-2341) -> Matrix(1,-2,0,1) Matrix(1015,1482,802,1171) -> Matrix(1,2,2,5) Matrix(857,1248,160,233) -> Matrix(1,0,2,1) Matrix(2417,3510,-1988,-2887) -> Matrix(3,-2,-4,3) Matrix(4837,7020,1828,2653) -> Matrix(1,-2,0,1) Matrix(1559,2262,1182,1715) -> Matrix(1,0,0,1) Matrix(701,1014,-486,-703) -> Matrix(1,-6,0,1) Matrix(1949,2808,270,389) -> Matrix(1,4,0,1) Matrix(11155,16068,6228,8971) -> Matrix(1,4,2,9) Matrix(1951,2808,922,1327) -> Matrix(3,10,-4,-13) Matrix(4289,6162,1248,1793) -> Matrix(3,8,4,11) Matrix(4291,6162,3314,4759) -> Matrix(1,0,2,1) Matrix(38141,54756,11572,16613) -> Matrix(1,2,2,5) Matrix(38143,54756,11574,16615) -> Matrix(1,2,2,5) Matrix(9673,13884,3696,5305) -> Matrix(1,0,0,1) Matrix(3589,5148,762,1093) -> Matrix(1,2,2,5) Matrix(20671,29640,14416,20671) -> Matrix(29,60,14,29) Matrix(32369,46410,22576,32369) -> Matrix(43,84,22,43) Matrix(4135,5928,708,1015) -> Matrix(11,20,6,11) Matrix(2341,3354,654,937) -> Matrix(3,4,2,3) Matrix(2573,3666,492,701) -> Matrix(1,2,0,1) Matrix(2027,2886,328,467) -> Matrix(1,2,0,1) Matrix(2575,3666,-2136,-3041) -> Matrix(1,0,-2,1) Matrix(10531,14976,2798,3979) -> Matrix(1,4,0,1) Matrix(19967,28392,8776,12479) -> Matrix(7,24,2,7) Matrix(2963,4212,548,779) -> Matrix(1,2,2,5) Matrix(1483,2106,1264,1795) -> Matrix(1,2,0,1) Matrix(7253,10296,4450,6317) -> Matrix(1,2,2,5) Matrix(4289,6084,1264,1793) -> Matrix(1,2,2,5) Matrix(4291,6084,1266,1795) -> Matrix(1,2,2,5) Matrix(11857,16770,-9154,-12947) -> Matrix(11,20,-16,-29) Matrix(4525,6396,994,1405) -> Matrix(1,4,0,1) Matrix(51635,72852,20012,28235) -> Matrix(7,12,4,7) Matrix(4369,6162,1328,1873) -> Matrix(3,4,8,11) Matrix(3043,4290,388,547) -> Matrix(7,8,6,7) Matrix(3431,4836,442,623) -> Matrix(3,2,4,3) Matrix(1717,2418,1330,1873) -> Matrix(1,2,0,1) Matrix(389,546,166,233) -> Matrix(1,0,0,1) Matrix(391,546,280,391) -> Matrix(3,4,2,3) Matrix(1793,2496,1288,1793) -> Matrix(9,8,10,9) Matrix(3197,4446,1738,2417) -> Matrix(11,8,4,3) Matrix(1795,2496,-1626,-2261) -> Matrix(3,2,4,3) Matrix(1403,1950,336,467) -> Matrix(3,2,4,3) Matrix(3821,5304,-3316,-4603) -> Matrix(3,2,-2,-1) Matrix(15679,21762,-13318,-18485) -> Matrix(1,2,2,5) Matrix(109589,152100,30628,42509) -> Matrix(15,16,14,15) Matrix(109591,152100,30630,42511) -> Matrix(15,14,16,15) Matrix(2417,3354,730,1013) -> Matrix(3,2,4,3) Matrix(4837,6708,2138,2965) -> Matrix(5,2,2,1) Matrix(2419,3354,282,391) -> Matrix(5,2,2,1) Matrix(4445,6162,-3658,-5071) -> Matrix(5,2,-8,-3) Matrix(2027,2808,1238,1715) -> Matrix(1,0,0,1) Matrix(8579,11856,5982,8267) -> Matrix(5,12,2,5) Matrix(28001,38688,5814,8033) -> Matrix(3,4,2,3) Matrix(2261,3120,508,701) -> Matrix(1,0,2,1) Matrix(5147,7098,678,935) -> Matrix(3,2,4,3) Matrix(5771,7956,1244,1715) -> Matrix(1,0,2,1) Matrix(625,858,228,313) -> Matrix(1,0,0,1) Matrix(1481,2028,398,545) -> Matrix(1,0,0,1) Matrix(1483,2028,400,547) -> Matrix(1,0,0,1) Matrix(857,1170,742,1013) -> Matrix(1,2,0,1) Matrix(10997,14976,3264,4445) -> Matrix(1,0,4,1) Matrix(3667,4992,-3036,-4133) -> Matrix(1,2,-2,-3) Matrix(2809,3822,574,781) -> Matrix(1,-4,0,1) Matrix(3899,5304,802,1091) -> Matrix(1,10,0,1) Matrix(1091,1482,918,1247) -> Matrix(1,2,2,5) Matrix(1093,1482,576,781) -> Matrix(5,4,-4,-3) Matrix(1327,1794,520,703) -> Matrix(1,2,0,1) Matrix(1715,2262,1182,1559) -> Matrix(1,0,0,1) Matrix(1717,2262,356,469) -> Matrix(1,4,0,1) Matrix(1483,1950,416,547) -> Matrix(3,4,2,3) Matrix(2497,3276,952,1249) -> Matrix(1,2,-2,-3) Matrix(18563,24336,4402,5771) -> Matrix(33,34,32,33) Matrix(18565,24336,4404,5773) -> Matrix(33,32,34,33) Matrix(1013,1326,178,233) -> Matrix(1,2,0,1) Matrix(17629,23010,11116,14509) -> Matrix(3,8,-2,-5) Matrix(779,1014,-600,-781) -> Matrix(5,6,-6,-7) Matrix(4991,6474,2164,2807) -> Matrix(13,10,-4,-3) Matrix(16303,21138,9566,12403) -> Matrix(13,10,-4,-3) Matrix(4213,5460,-3490,-4523) -> Matrix(11,8,-18,-13) Matrix(5539,7176,2108,2731) -> Matrix(3,2,4,3) Matrix(16381,21216,9998,12949) -> Matrix(3,2,-26,-17) Matrix(4759,6162,3314,4291) -> Matrix(1,0,2,1) Matrix(10919,14118,4584,5927) -> Matrix(1,0,0,1) Matrix(1871,2418,-1570,-2029) -> Matrix(1,0,0,1) Matrix(1873,2418,1330,1717) -> Matrix(1,2,0,1) Matrix(2419,3120,666,859) -> Matrix(1,2,0,1) Matrix(4991,6396,1460,1871) -> Matrix(1,0,4,1) Matrix(23867,30576,9132,11699) -> Matrix(1,0,2,1) Matrix(4757,6084,1036,1325) -> Matrix(5,2,2,1) Matrix(4759,6084,1038,1327) -> Matrix(5,2,2,1) Matrix(1405,1794,856,1093) -> Matrix(1,0,4,1) Matrix(6241,7956,1714,2185) -> Matrix(1,2,0,1) Matrix(7957,10140,3306,4213) -> Matrix(3,2,-8,-5) Matrix(4837,6162,3552,4525) -> Matrix(1,0,2,1) Matrix(4055,5148,1228,1559) -> Matrix(1,2,2,5) Matrix(1169,1482,676,857) -> Matrix(5,4,-4,-3) Matrix(1171,1482,802,1015) -> Matrix(5,2,2,1) Matrix(1481,1872,678,857) -> Matrix(1,0,6,1) Matrix(30655,38688,8468,10687) -> Matrix(3,2,4,3) Matrix(1793,2262,432,545) -> Matrix(1,0,4,1) Matrix(4213,5304,1116,1405) -> Matrix(1,0,10,1) Matrix(3041,3822,806,1013) -> Matrix(1,0,-4,1) Matrix(2263,2808,818,1015) -> Matrix(1,0,-4,1) Matrix(1637,2028,314,389) -> Matrix(1,0,0,1) Matrix(1639,2028,316,391) -> Matrix(1,0,0,1) Matrix(2965,3666,884,1093) -> Matrix(1,0,2,1) Matrix(12323,15210,4802,5927) -> Matrix(1,-12,0,1) Matrix(1015,1248,318,391) -> Matrix(1,2,0,1) Matrix(3433,4212,1018,1249) -> Matrix(1,2,2,5) Matrix(6553,8034,1146,1405) -> Matrix(5,6,4,5) Matrix(703,858,576,703) -> Matrix(3,4,2,3) Matrix(1793,2184,1472,1793) -> Matrix(11,10,12,11) Matrix(1795,2184,706,859) -> Matrix(3,2,4,3) Matrix(1093,1326,258,313) -> Matrix(1,0,2,1) Matrix(6629,8034,1222,1481) -> Matrix(5,4,6,5) Matrix(1483,1794,968,1171) -> Matrix(1,0,2,1) Matrix(3743,4524,1548,1871) -> Matrix(3,2,-8,-5) Matrix(4913,5928,1486,1793) -> Matrix(11,6,20,11) Matrix(2419,2886,720,859) -> Matrix(1,0,2,1) Matrix(1639,1950,722,859) -> Matrix(5,2,2,1) Matrix(857,1014,-726,-859) -> Matrix(1,0,10,1) Matrix(15677,18486,5754,6785) -> Matrix(1,0,-2,1) Matrix(9593,11310,5358,6317) -> Matrix(1,0,-2,1) Matrix(3509,4134,2184,2573) -> Matrix(1,0,-4,1) Matrix(1327,1560,598,703) -> Matrix(1,-2,2,-3) Matrix(1795,2106,1264,1483) -> Matrix(1,2,0,1) Matrix(2419,2808,740,859) -> Matrix(1,0,4,1) Matrix(1013,1170,742,857) -> Matrix(1,2,0,1) Matrix(6163,7098,1694,1951) -> Matrix(3,4,2,3) Matrix(4213,4836,1224,1405) -> Matrix(3,4,2,3) Matrix(3743,4290,1088,1247) -> Matrix(7,6,8,7) Matrix(547,624,206,235) -> Matrix(3,2,-2,-1) Matrix(2963,3354,826,935) -> Matrix(5,2,2,1) Matrix(623,702,276,311) -> Matrix(5,2,2,1) Matrix(1793,1950,788,857) -> Matrix(1,4,0,1) Matrix(1,0,2,1) -> Matrix(1,0,0,1) Matrix(2419,-2652,924,-1013) -> Matrix(1,-2,0,1) Matrix(703,-780,210,-233) -> Matrix(1,0,4,1) Matrix(1327,-1482,488,-545) -> Matrix(1,0,-10,1) Matrix(1717,-1950,1098,-1247) -> Matrix(13,-6,-2,1) Matrix(2105,-2418,612,-703) -> Matrix(3,-4,4,-5) Matrix(1559,-1794,272,-313) -> Matrix(3,-2,2,-1) Matrix(1481,-1716,876,-1015) -> Matrix(1,6,0,1) Matrix(7021,-8268,3046,-3587) -> Matrix(15,4,-4,-1) Matrix(3041,-3588,1918,-2263) -> Matrix(11,2,-6,-1) Matrix(1249,-1482,788,-935) -> Matrix(9,-2,-4,1) Matrix(2029,-2418,1570,-1871) -> Matrix(1,0,0,1) Matrix(3041,-3666,2136,-2575) -> Matrix(1,0,-2,1) Matrix(4133,-4992,3036,-3667) -> Matrix(3,-2,2,-1) Matrix(1481,-1794,194,-235) -> Matrix(3,-2,2,-1) Matrix(2887,-3510,1988,-2417) -> Matrix(3,-2,-4,3) Matrix(701,-858,192,-235) -> Matrix(1,0,0,1) Matrix(1715,-2106,636,-781) -> Matrix(1,0,-2,1) Matrix(1013,-1248,444,-547) -> Matrix(1,2,0,1) Matrix(2105,-2652,558,-703) -> Matrix(1,0,-4,1) Matrix(2965,-3744,864,-1091) -> Matrix(5,-2,8,-3) Matrix(859,-1092,306,-389) -> Matrix(1,0,2,1) Matrix(2263,-2886,672,-857) -> Matrix(1,0,2,1) Matrix(1951,-2496,426,-545) -> Matrix(3,-2,2,-1) Matrix(4447,-5694,1644,-2105) -> Matrix(1,0,-4,1) Matrix(3041,-3900,1278,-1639) -> Matrix(1,0,-4,1) Matrix(1327,-1716,904,-1169) -> Matrix(1,0,-2,1) Matrix(4757,-6162,904,-1171) -> Matrix(3,-2,-10,7) Matrix(9751,-12636,7162,-9281) -> Matrix(3,-2,-4,3) Matrix(781,-1014,600,-779) -> Matrix(7,-6,6,-5) Matrix(2573,-3354,1018,-1327) -> Matrix(1,-2,2,-3) Matrix(1015,-1326,656,-857) -> Matrix(1,0,0,1) Matrix(4523,-5928,1072,-1405) -> Matrix(7,-6,6,-5) Matrix(1795,-2418,752,-1013) -> Matrix(1,0,-2,1) Matrix(1325,-1794,404,-547) -> Matrix(1,0,2,1) Matrix(1951,-2652,860,-1169) -> Matrix(1,0,0,1) Matrix(1949,-2652,402,-547) -> Matrix(1,4,0,1) Matrix(9047,-12324,1604,-2185) -> Matrix(3,4,2,3) Matrix(4681,-6396,1826,-2495) -> Matrix(1,2,0,1) Matrix(623,-858,114,-157) -> Matrix(1,0,0,1) Matrix(1639,-2262,734,-1013) -> Matrix(5,-4,4,-3) Matrix(1015,-1404,394,-545) -> Matrix(1,0,0,1) Matrix(6865,-9516,4726,-6551) -> Matrix(1,0,-4,1) Matrix(19109,-26520,5340,-7411) -> Matrix(7,-6,6,-5) Matrix(32369,-44928,13544,-18799) -> Matrix(1,0,-2,1) Matrix(8035,-11154,1404,-1949) -> Matrix(5,-4,4,-3) Matrix(6395,-8892,1908,-2653) -> Matrix(3,-2,8,-5) Matrix(1715,-2418,222,-313) -> Matrix(3,-4,4,-5) Matrix(2653,-3744,552,-779) -> Matrix(5,-8,2,-3) Matrix(1325,-1872,608,-859) -> Matrix(1,-2,6,-11) Matrix(937,-1326,330,-467) -> Matrix(1,-2,0,1) Matrix(2419,-3432,714,-1013) -> Matrix(1,-2,2,-3) Matrix(7801,-11076,2856,-4055) -> Matrix(1,-2,0,1) Matrix(2029,-2886,438,-623) -> Matrix(1,-2,0,1) Matrix(547,-780,54,-77) -> Matrix(1,-4,0,1) Matrix(9127,-13104,2770,-3977) -> Matrix(1,-2,2,-3) Matrix(1247,-1794,326,-469) -> Matrix(1,-2,0,1) Matrix(703,-1014,486,-701) -> Matrix(1,-6,0,1) Matrix(11467,-16614,4360,-6317) -> Matrix(1,2,0,1) Matrix(5851,-8502,1556,-2261) -> Matrix(1,0,0,1) Matrix(2185,-3198,852,-1247) -> Matrix(1,4,0,1) Matrix(2185,-3354,914,-1403) -> Matrix(1,-2,-2,5) Matrix(859,-1326,252,-389) -> Matrix(1,0,2,1) Matrix(3979,-6162,1460,-2261) -> Matrix(1,-2,2,-3) Matrix(703,-1092,150,-233) -> Matrix(1,-2,0,1) Matrix(3589,-5616,1096,-1715) -> Matrix(1,4,4,17) Matrix(547,-858,248,-389) -> Matrix(1,2,2,5) Matrix(1483,-2340,642,-1013) -> Matrix(1,-2,0,1) Matrix(2963,-4680,692,-1093) -> Matrix(1,-2,2,-3) Matrix(937,-1482,98,-155) -> Matrix(1,10,0,1) Matrix(1327,-2106,540,-857) -> Matrix(1,2,2,5) Matrix(1325,-2106,246,-391) -> Matrix(1,2,0,1) Matrix(391,-624,146,-233) -> Matrix(1,0,0,1) Matrix(7955,-12792,3008,-4837) -> Matrix(3,2,-2,-1) Matrix(3821,-6162,1500,-2419) -> Matrix(3,-2,2,-1) Matrix(11699,-18876,3578,-5773) -> Matrix(1,0,4,1) Matrix(13339,-21528,5074,-8189) -> Matrix(1,0,0,1) Matrix(3665,-5928,1592,-2575) -> Matrix(11,6,-2,-1) Matrix(5303,-8580,3086,-4993) -> Matrix(3,2,-2,-1) Matrix(4915,-7956,2746,-4445) -> Matrix(1,0,4,1) Matrix(625,-1014,384,-623) -> Matrix(1,0,4,1) Matrix(859,-1404,238,-389) -> Matrix(1,0,0,1) Matrix(3901,-6396,1046,-1715) -> Matrix(1,0,-2,1) Matrix(3743,-6162,1422,-2341) -> Matrix(3,-2,2,-1) Matrix(1559,-2574,662,-1093) -> Matrix(1,-2,0,1) Matrix(1249,-2106,462,-779) -> Matrix(1,-2,-2,5) Matrix(4525,-7644,1754,-2963) -> Matrix(3,-14,2,-9) Matrix(16535,-28158,2932,-4993) -> Matrix(3,16,2,11) Matrix(39389,-67080,16260,-27691) -> Matrix(1,4,-4,-15) Matrix(14975,-25506,5496,-9361) -> Matrix(1,4,2,9) Matrix(1871,-3198,822,-1405) -> Matrix(1,6,0,1) Matrix(545,-936,46,-79) -> Matrix(1,2,0,1) Matrix(1951,-3354,680,-1169) -> Matrix(1,2,2,5) Matrix(1405,-2418,362,-623) -> Matrix(1,2,0,1) Matrix(9049,-15600,3800,-6551) -> Matrix(1,2,-2,-3) Matrix(2261,-3900,498,-859) -> Matrix(1,4,0,1) Matrix(1717,-2964,632,-1091) -> Matrix(1,2,-6,-11) Matrix(1481,-2574,584,-1015) -> Matrix(1,0,2,1) Matrix(1327,-2340,486,-857) -> Matrix(1,0,2,1) Matrix(4681,-8268,706,-1247) -> Matrix(15,4,-4,-1) Matrix(3353,-5928,1280,-2263) -> Matrix(11,2,-6,-1) Matrix(701,-1248,132,-235) -> Matrix(1,0,-2,1) Matrix(1793,-3198,744,-1327) -> Matrix(1,0,-6,1) Matrix(1483,-2652,392,-701) -> Matrix(1,0,0,1) Matrix(29093,-52104,10758,-19267) -> Matrix(1,0,-4,1) Matrix(1249,-2262,344,-623) -> Matrix(5,-4,4,-3) Matrix(859,-1560,386,-701) -> Matrix(7,-8,8,-9) Matrix(2653,-4836,1112,-2027) -> Matrix(1,-2,0,1) Matrix(469,-858,170,-311) -> Matrix(1,-2,-2,5) Matrix(1013,-1872,296,-547) -> Matrix(1,-6,2,-11) Matrix(1717,-3198,502,-935) -> Matrix(1,6,2,13) Matrix(1793,-3354,626,-1171) -> Matrix(1,4,2,9) Matrix(3121,-6708,1306,-2807) -> Matrix(1,0,2,1) Matrix(469,-1014,216,-467) -> Matrix(1,0,12,1) Matrix(7723,-17082,2856,-6317) -> Matrix(3,-2,-4,3) Matrix(1091,-2418,282,-625) -> Matrix(3,-2,2,-1) Matrix(12091,-27378,2652,-6005) -> Matrix(1,0,0,1) Matrix(3511,-7956,1342,-3041) -> Matrix(1,-4,0,1) Matrix(4835,-10998,892,-2029) -> Matrix(1,-4,2,-7) Matrix(2807,-6396,822,-1873) -> Matrix(1,-4,2,-7) Matrix(8737,-20124,3386,-7799) -> Matrix(3,10,2,7) Matrix(17629,-40638,7376,-17003) -> Matrix(3,10,-4,-13) Matrix(1481,-3432,438,-1015) -> Matrix(1,2,2,5) Matrix(5069,-11934,1160,-2731) -> Matrix(5,6,4,5) Matrix(623,-1482,66,-157) -> Matrix(9,4,2,1) Matrix(3587,-8580,1370,-3277) -> Matrix(3,2,-2,-1) Matrix(5539,-13338,1522,-3665) -> Matrix(5,2,2,1) Matrix(6473,-15678,1514,-3667) -> Matrix(1,0,6,1) Matrix(3509,-8502,934,-2263) -> Matrix(1,0,4,1) Matrix(701,-1716,96,-235) -> Matrix(1,0,-6,1) Matrix(2419,-5928,668,-1637) -> Matrix(9,-2,14,-3) Matrix(1013,-2496,222,-547) -> Matrix(3,-2,2,-1) Matrix(9671,-24648,2816,-7177) -> Matrix(1,-4,2,-7) Matrix(13339,-34008,5170,-13181) -> Matrix(3,-8,2,-5) Matrix(2417,-6240,514,-1327) -> Matrix(1,-2,0,1) Matrix(391,-1014,150,-389) -> Matrix(1,-4,0,1) Matrix(9049,-23712,2500,-6551) -> Matrix(5,8,8,13) Matrix(22309,-58734,6162,-16223) -> Matrix(1,-4,2,-7) Matrix(9983,-26286,2074,-5461) -> Matrix(1,0,0,1) Matrix(547,-1482,86,-233) -> Matrix(9,4,2,1) Matrix(4369,-12090,958,-2651) -> Matrix(9,2,4,1) Matrix(1717,-4758,450,-1247) -> Matrix(9,2,4,1) Matrix(703,-1950,84,-233) -> Matrix(13,2,6,1) Matrix(2105,-5928,582,-1639) -> Matrix(1,0,0,1) Matrix(469,-1326,110,-311) -> Matrix(1,0,0,1) Matrix(1013,-2886,192,-547) -> Matrix(1,0,2,1) Matrix(1091,-3120,164,-469) -> Matrix(9,-2,-4,1) Matrix(547,-1716,124,-389) -> Matrix(1,2,0,1) Matrix(1015,-3198,272,-857) -> Matrix(1,0,2,1) Matrix(1093,-3510,194,-623) -> Matrix(3,4,2,3) Matrix(313,-1014,96,-311) -> Matrix(1,0,6,1) Matrix(1091,-3666,186,-625) -> Matrix(1,2,0,1) Matrix(4913,-16770,1120,-3823) -> Matrix(29,-16,20,-11) Matrix(701,-2496,66,-235) -> Matrix(3,-4,-2,3) Matrix(1483,-5304,196,-701) -> Matrix(1,-2,2,-3) Matrix(6083,-21762,916,-3277) -> Matrix(5,-2,-2,1) Matrix(1717,-6162,304,-1091) -> Matrix(3,-8,2,-5) Matrix(1325,-4992,228,-859) -> Matrix(3,-2,2,-1) Matrix(235,-1014,54,-233) -> Matrix(7,-6,6,-5) Matrix(1247,-5460,214,-937) -> Matrix(13,-18,8,-11) Matrix(547,-2418,88,-389) -> Matrix(1,0,0,1) Matrix(157,-1014,24,-155) -> Matrix(1,-10,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 166 Degree of the the map X: 166 Degree of the the map Y: 672 ----------------------------------------------------------------------- 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): 2016 Minimal number of generators: 337 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: 96 Genus: 121 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 26/23 13/11 6/5 26/21 13/10 26/19 13/9 3/2 13/8 26/15 13/7 2/1 13/6 78/35 39/17 26/11 312/131 117/49 12/5 390/161 39/16 130/51 195/76 18/7 13/5 507/194 234/89 156/59 78/29 117/43 30/11 39/14 26/9 3/1 13/4 36/11 234/71 195/59 78/23 24/7 39/11 390/109 18/5 26/7 15/4 42/11 4/1 156/37 30/7 13/3 9/2 78/17 65/14 14/3 33/7 24/5 130/27 34/7 39/8 5/1 26/5 21/4 37/7 16/3 27/5 65/12 39/7 28/5 52/9 35/6 6/1 32/5 13/2 33/5 20/3 27/4 7/1 29/4 22/3 15/2 38/5 23/3 31/4 39/5 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 0/1 -1/1 1/1 1/1 0/1 11/10 1/0 10/9 -1/5 9/8 1/4 1/2 26/23 1/3 1/1 17/15 0/1 8/7 1/1 23/20 1/0 15/13 0/1 2/1 22/19 3/1 7/6 1/0 27/23 -2/1 0/1 20/17 -3/5 53/45 0/1 33/28 -1/2 -1/4 13/11 0/1 19/16 3/10 25/21 0/1 6/5 1/3 1/1 35/29 4/7 29/24 5/8 52/43 1/1 23/19 2/3 40/33 1/1 17/14 1/2 45/37 2/3 4/5 28/23 1/1 39/32 1/1 11/9 2/1 27/22 3/2 1/0 16/13 3/1 21/17 -2/1 0/1 47/38 1/0 26/21 -1/1 1/1 31/25 0/1 5/4 1/0 29/23 2/7 53/42 1/2 24/19 1/3 1/1 43/34 1/4 19/15 4/7 33/26 3/2 1/0 14/11 1/3 37/29 0/1 23/18 1/2 32/25 1/3 41/32 1/2 9/7 0/1 2/3 40/31 1/1 31/24 1/0 84/65 1/3 1/1 53/41 0/1 22/17 3/5 79/61 2/3 57/44 7/10 3/4 92/71 1/1 35/27 4/5 13/10 1/1 43/33 2/1 73/56 1/0 30/23 1/1 5/3 17/13 0/1 38/29 1/1 59/45 14/13 21/16 3/2 1/0 25/19 2/1 29/22 1/2 4/3 1/1 27/20 1/2 1/0 23/17 0/1 19/14 5/4 34/25 3/1 49/36 -1/2 113/83 -2/1 64/47 -1/1 79/58 1/0 15/11 0/1 2/1 56/41 -1/1 41/30 1/0 26/19 -1/1 1/1 37/27 0/1 11/8 1/2 40/29 1/1 29/21 6/5 18/13 -1/1 1/1 79/57 0/1 61/44 1/2 104/75 1/3 1/1 43/31 0/1 68/49 5/7 161/116 5/4 93/67 0/1 2/3 25/18 1/2 57/41 0/1 2/3 89/64 3/4 32/23 1/1 39/28 1/1 7/5 2/1 38/27 1/1 31/22 1/0 55/39 4/3 79/56 3/2 24/17 1/1 5/3 41/29 2/1 17/12 1/0 44/31 1/1 71/50 1/0 27/19 2/1 4/1 37/26 1/0 121/85 -4/1 84/59 -1/1 1/1 47/33 2/1 57/40 5/2 1/0 10/7 -1/1 43/30 3/2 119/83 2/1 195/136 2/1 76/53 15/7 33/23 2/1 4/1 89/62 1/0 56/39 3/1 79/55 2/1 23/16 1/0 36/25 3/1 5/1 13/9 1/0 42/29 -3/1 -1/1 71/49 -2/1 29/20 -1/2 74/51 -1/1 45/31 -2/1 0/1 61/42 -1/2 77/53 0/1 16/11 -1/1 35/24 3/2 19/13 6/1 22/15 -3/1 25/17 0/1 3/2 1/2 1/0 26/17 1/1 23/15 2/1 20/13 7/1 17/11 0/1 48/31 1/1 5/3 31/20 1/0 14/9 5/1 39/25 1/0 25/16 1/0 86/55 -7/1 61/39 -6/1 36/23 -5/1 -3/1 11/7 -2/1 41/26 1/0 30/19 -1/1 1/1 79/50 1/0 49/31 8/1 117/74 1/0 68/43 -15/1 19/12 -7/2 65/41 -2/1 111/70 -7/4 -3/2 157/99 -2/1 46/29 -1/1 27/17 -2/1 -4/3 35/22 -5/4 8/5 -1/1 53/33 0/1 45/28 -1/2 1/0 82/51 -1/1 37/23 0/1 29/18 -1/4 79/49 0/1 50/31 1/1 121/75 0/1 71/44 1/0 92/57 1/1 21/13 -2/1 0/1 97/60 -11/12 76/47 -5/7 55/34 -1/2 89/55 0/1 123/76 -1/2 -1/4 34/21 -1/1 13/8 0/1 44/27 1/3 119/73 0/1 313/192 1/4 507/311 1/3 194/119 1/3 75/46 1/4 1/2 31/19 0/1 18/11 -1/1 1/1 77/47 0/1 136/83 -1/21 195/119 0/1 59/36 1/10 41/25 0/1 23/14 1/2 51/31 0/1 2/3 28/17 1/1 33/20 1/2 1/0 5/3 2/1 27/16 7/2 1/0 49/29 16/3 71/42 1/0 22/13 9/1 39/23 1/0 17/10 1/0 63/37 -4/1 -2/1 172/101 -5/1 109/64 1/0 46/27 -3/1 121/71 -2/1 196/115 -3/1 75/44 -5/2 1/0 104/61 -3/1 29/17 0/1 41/24 1/0 12/7 -3/1 -1/1 67/39 -2/1 55/32 1/0 43/25 -2/1 117/68 -2/1 74/43 -1/1 31/18 1/0 81/47 -4/1 -2/1 131/76 1/0 50/29 -3/1 69/40 -5/2 1/0 19/11 -8/5 45/26 -5/4 -7/6 26/15 -1/1 33/19 -2/3 0/1 40/23 -1/1 7/4 -1/2 30/17 -1/1 -1/3 83/47 -2/5 53/30 -1/4 23/13 0/1 39/22 0/1 16/9 1/5 41/23 0/1 25/14 1/2 34/19 1/3 111/62 1/2 1/0 77/43 0/1 120/67 1/3 1/1 43/24 1/2 52/29 1/3 1/1 9/5 0/1 2/3 29/16 9/10 20/11 9/7 51/28 3/2 1/0 31/17 2/1 11/6 1/0 46/25 3/1 35/19 2/1 24/13 3/1 5/1 13/7 1/0 28/15 -5/1 43/23 -4/1 15/8 -5/2 1/0 17/9 -2/1 19/10 -9/8 2/1 1/1 19/9 -8/9 17/8 -1/2 15/7 -2/5 0/1 43/20 -1/4 28/13 -1/5 13/6 0/1 50/23 1/7 37/17 0/1 24/11 1/5 1/3 35/16 1/2 46/21 1/3 11/5 0/1 42/19 3/5 1/1 73/33 2/3 31/14 1/2 51/23 0/1 2/3 20/9 7/9 49/22 17/18 78/35 1/1 29/13 10/9 38/17 1/1 9/4 3/2 1/0 52/23 1/1 3/1 43/19 2/1 120/53 1/1 3/1 77/34 1/0 34/15 3/1 59/26 5/4 25/11 2/1 91/40 3/1 157/69 4/1 66/29 3/1 5/1 41/18 1/0 57/25 0/1 2/1 16/7 5/1 39/17 1/0 23/10 1/0 76/33 -13/3 53/23 -4/1 136/59 -25/7 83/36 -5/2 30/13 -3/1 -1/1 37/16 1/0 7/3 -2/1 40/17 -1/1 73/31 0/1 33/14 -3/2 1/0 26/11 -1/1 45/19 -6/7 -4/5 19/8 -5/8 69/29 -2/5 0/1 119/50 -1/2 50/21 -1/3 181/76 -1/2 312/131 -1/1 -1/3 131/55 0/1 81/34 -1/2 -1/4 31/13 0/1 105/44 -1/2 1/0 74/31 -1/1 117/49 -1/2 43/18 -1/2 141/59 -2/1 0/1 239/100 -5/6 98/41 -5/9 55/23 0/1 12/5 -1/1 -1/3 77/32 -1/2 65/27 -1/3 53/22 -1/4 41/17 0/1 29/12 1/0 104/43 -1/3 75/31 -2/5 0/1 196/81 -1/3 121/50 -1/2 46/19 -1/3 109/45 0/1 390/161 -1/3 -1/5 281/116 -1/4 172/71 -1/5 63/26 -1/2 -1/4 17/7 0/1 39/16 0/1 22/9 1/9 49/20 3/16 27/11 0/1 2/7 32/13 1/3 5/2 1/2 43/17 0/1 38/15 1/1 33/13 0/1 2/1 28/11 1/1 79/31 2/1 130/51 1/1 3/1 51/20 3/2 1/0 23/9 2/1 41/16 1/0 100/39 1/1 59/23 10/1 195/76 1/0 136/53 -21/1 77/30 1/0 18/7 -1/1 1/1 49/19 6/5 129/50 3/2 7/4 338/131 1/1 5/3 209/81 2/1 80/31 9/5 31/12 1/0 13/5 1/0 47/18 1/0 81/31 -2/1 0/1 196/75 -1/1 507/194 -1/1 311/119 0/1 115/44 1/0 34/13 -1/1 157/60 1/0 123/47 -4/1 -2/1 89/34 1/0 233/89 -2/1 144/55 -3/1 -1/1 55/21 -2/1 131/50 -3/2 76/29 -7/5 97/37 -12/11 21/8 -1/2 1/0 92/35 1/1 163/62 1/0 234/89 -1/1 1/1 71/27 0/1 192/73 -1/1 1/1 121/46 1/0 50/19 1/1 129/49 0/1 2/1 208/79 1/1 3/1 79/30 1/0 29/11 -4/1 37/14 1/0 156/59 -3/1 -1/1 119/45 -2/1 82/31 -1/1 45/17 -2/1 0/1 53/20 1/0 8/3 -1/1 43/16 -5/4 78/29 -1/1 35/13 -4/5 62/23 -3/5 27/10 -3/4 -1/2 73/27 0/1 192/71 -1/1 -1/3 311/115 0/1 119/44 -1/2 46/17 -1/1 19/7 -2/7 87/32 -1/6 -1/8 68/25 -1/15 117/43 0/1 49/18 1/8 79/29 0/1 188/69 1/3 109/40 1/2 30/11 -1/1 1/1 71/26 1/0 112/41 -1/1 41/15 0/1 11/4 -1/2 47/17 0/1 83/30 -1/4 36/13 -1/3 -1/5 61/22 -1/6 25/9 0/1 39/14 0/1 14/5 1/5 45/16 3/8 1/2 31/11 0/1 17/6 1/0 37/13 0/1 20/7 1/7 63/22 3/8 1/2 43/15 0/1 23/8 1/2 26/9 1/1 3/1 0/1 2/1 22/7 -1/3 19/6 1/6 35/11 2/3 16/5 -1/1 45/14 -1/2 1/0 74/23 -1/1 29/9 -2/1 13/4 0/1 49/15 2/11 85/26 1/4 121/37 0/1 36/11 1/5 1/3 95/29 2/7 59/18 5/14 23/7 0/1 79/24 1/2 56/17 1/3 145/44 1/2 234/71 1/3 1/1 89/27 0/1 33/10 1/4 1/2 76/23 7/15 195/59 1/2 119/36 1/2 43/13 2/3 10/3 -1/1 67/20 1/4 57/17 0/1 2/5 47/14 1/2 84/25 -1/1 1/1 37/11 0/1 64/19 1/5 155/46 1/4 91/27 1/3 27/8 1/4 1/2 71/21 0/1 115/34 1/2 44/13 1/1 61/18 1/2 78/23 1/3 1/1 17/5 0/1 58/17 7/15 99/29 4/7 2/3 41/12 1/2 106/31 1/3 65/19 1/2 24/7 3/5 1/1 103/30 1/2 182/53 3/5 1/1 79/23 2/3 55/16 3/4 86/25 1/1 117/34 1/1 31/9 0/1 38/11 1/1 7/2 1/2 39/11 1/1 32/9 1/1 89/25 4/3 57/16 3/2 1/0 25/7 2/1 93/26 3/2 1/0 161/45 4/5 390/109 1/1 229/64 11/10 68/19 7/5 43/12 1/0 104/29 1/1 3/1 61/17 2/1 79/22 1/0 18/5 -1/1 1/1 47/13 0/1 123/34 3/8 1/2 76/21 5/9 181/50 1/2 286/79 3/5 1/1 105/29 4/7 2/3 29/8 5/6 69/19 4/3 2/1 40/11 1/1 131/36 3/2 91/25 1/1 51/14 3/2 1/0 11/3 2/1 37/10 1/0 26/7 -1/1 1/1 41/11 0/1 97/26 1/8 56/15 -1/1 15/4 1/2 1/0 94/25 -1/1 79/21 0/1 64/17 -1/1 49/13 -2/1 83/22 -1/4 117/31 0/1 34/9 1/3 53/14 1/2 19/5 4/5 61/16 3/2 42/11 1/1 3/1 23/6 1/0 27/7 0/1 2/1 31/8 1/0 4/1 1/1 29/7 2/1 25/6 1/2 21/5 0/1 2/3 59/14 13/14 156/37 1/1 97/23 20/19 38/9 1/1 17/4 1/0 47/11 0/1 124/29 1/3 77/18 1/2 30/7 3/5 1/1 13/3 1/1 48/11 1/1 9/7 83/19 6/5 118/27 1/1 35/8 5/4 92/21 1/1 57/13 4/3 10/7 136/31 37/25 79/18 3/2 22/5 5/3 75/17 2/1 4/1 53/12 1/0 31/7 0/1 40/9 1/1 9/2 3/2 1/0 50/11 1/1 41/9 2/1 155/34 1/0 114/25 1/1 3/1 73/16 1/0 32/7 3/1 55/12 1/0 78/17 1/1 3/1 23/5 2/1 37/8 1/0 51/11 0/1 2/1 65/14 1/1 79/17 2/1 14/3 3/1 47/10 1/0 80/17 -1/5 33/7 0/1 2/3 19/4 7/4 43/9 4/1 24/5 1/1 3/1 77/16 1/0 130/27 1/1 3/1 53/11 2/1 29/6 7/2 34/7 7/1 39/8 1/0 5/1 0/1 31/6 1/0 26/5 -1/1 1/1 47/9 0/1 21/4 -1/2 1/0 79/15 0/1 58/11 1/9 37/7 0/1 16/3 1/3 43/8 3/4 27/5 0/1 2/3 65/12 1/1 103/19 2/3 38/7 1/1 11/2 1/2 39/7 1/1 28/5 1/1 45/8 5/4 3/2 62/11 1/1 141/25 4/3 10/7 79/14 3/2 17/3 2/1 40/7 1/1 103/18 3/2 63/11 4/3 2/1 23/4 3/2 52/9 1/1 29/5 8/5 64/11 5/3 35/6 7/4 41/7 2/1 6/1 1/1 3/1 31/5 0/1 25/4 1/0 19/3 10/3 32/5 5/1 13/2 1/0 46/7 -5/1 79/12 1/0 33/5 -4/1 -2/1 53/8 1/0 73/11 -10/3 93/14 -11/4 -5/2 20/3 -5/3 27/4 -1/2 1/0 7/1 0/1 29/4 -3/2 22/3 1/3 15/2 1/2 1/0 53/7 0/1 38/5 1/1 23/3 0/1 31/4 3/4 39/5 1/1 8/1 1/1 25/3 2/1 17/2 1/0 26/3 1/1 3/1 9/1 2/1 4/1 19/2 13/2 10/1 -5/1 21/2 -3/2 1/0 11/1 0/1 12/1 -1/1 1/1 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(2419,-2652,924,-1013) (1/1,11/10) -> (89/34,233/89) Hyperbolic Matrix(703,-780,210,-233) (11/10,10/9) -> (10/3,67/20) Hyperbolic Matrix(1327,-1482,488,-545) (10/9,9/8) -> (87/32,68/25) Hyperbolic Matrix(623,-702,347,-391) (9/8,26/23) -> (52/29,9/5) Hyperbolic Matrix(2963,-3354,2137,-2419) (26/23,17/15) -> (61/44,104/75) Hyperbolic Matrix(1717,-1950,1098,-1247) (17/15,8/7) -> (86/55,61/39) Hyperbolic Matrix(2105,-2418,612,-703) (8/7,23/20) -> (55/16,86/25) Hyperbolic Matrix(1559,-1794,272,-313) (23/20,15/13) -> (63/11,23/4) Hyperbolic Matrix(1013,-1170,271,-313) (15/13,22/19) -> (56/15,15/4) Hyperbolic Matrix(1481,-1716,876,-1015) (22/19,7/6) -> (71/42,22/13) Hyperbolic Matrix(1795,-2106,531,-623) (7/6,27/23) -> (27/8,71/21) Hyperbolic Matrix(1327,-1560,729,-857) (27/23,20/17) -> (20/11,51/28) Hyperbolic Matrix(7021,-8268,3046,-3587) (20/17,53/45) -> (53/23,136/59) Hyperbolic Matrix(3509,-4134,1325,-1561) (53/45,33/28) -> (45/17,53/20) Hyperbolic Matrix(3041,-3588,1918,-2263) (33/28,13/11) -> (65/41,111/70) Hyperbolic Matrix(1249,-1482,788,-935) (13/11,19/16) -> (19/12,65/41) Hyperbolic Matrix(1247,-1482,329,-391) (19/16,25/21) -> (53/14,19/5) Hyperbolic Matrix(2029,-2418,1570,-1871) (25/21,6/5) -> (84/65,53/41) Hyperbolic Matrix(3041,-3666,2136,-2575) (6/5,35/29) -> (121/85,84/59) Hyperbolic Matrix(4133,-4992,3036,-3667) (35/29,29/24) -> (49/36,113/83) Hyperbolic Matrix(3743,-4524,2195,-2653) (29/24,52/43) -> (104/61,29/17) Hyperbolic Matrix(1483,-1794,515,-623) (52/43,23/19) -> (23/8,26/9) Hyperbolic Matrix(1481,-1794,194,-235) (23/19,40/33) -> (38/5,23/3) Hyperbolic Matrix(1093,-1326,835,-1013) (40/33,17/14) -> (17/13,38/29) Hyperbolic Matrix(2887,-3510,1988,-2417) (17/14,45/37) -> (45/31,61/42) Hyperbolic Matrix(1795,-2184,1089,-1325) (45/37,28/23) -> (28/17,33/20) Hyperbolic Matrix(1793,-2184,321,-391) (28/23,39/32) -> (39/7,28/5) Hyperbolic Matrix(703,-858,127,-155) (39/32,11/9) -> (11/2,39/7) Hyperbolic Matrix(701,-858,192,-235) (11/9,27/22) -> (51/14,11/3) Hyperbolic Matrix(1715,-2106,636,-781) (27/22,16/13) -> (62/23,27/10) Hyperbolic Matrix(1013,-1248,444,-547) (16/13,21/17) -> (57/25,16/7) Hyperbolic Matrix(2965,-3666,2081,-2573) (21/17,47/38) -> (47/33,57/40) Hyperbolic Matrix(1639,-2028,1323,-1637) (47/38,26/21) -> (26/21,31/25) Parabolic Matrix(1949,-2418,881,-1093) (31/25,5/4) -> (73/33,31/14) Hyperbolic Matrix(2105,-2652,558,-703) (5/4,29/23) -> (49/13,83/22) Hyperbolic Matrix(1793,-2262,1361,-1717) (29/23,53/42) -> (25/19,29/22) Hyperbolic Matrix(2965,-3744,864,-1091) (53/42,24/19) -> (24/7,103/30) Hyperbolic Matrix(1481,-1872,803,-1015) (24/19,43/34) -> (35/19,24/13) Hyperbolic Matrix(1171,-1482,369,-467) (43/34,19/15) -> (19/6,35/11) Hyperbolic Matrix(1169,-1482,493,-625) (19/15,33/26) -> (45/19,19/8) Hyperbolic Matrix(859,-1092,306,-389) (33/26,14/11) -> (14/5,45/16) Hyperbolic Matrix(2263,-2886,672,-857) (14/11,37/29) -> (37/11,64/19) Hyperbolic Matrix(1405,-1794,549,-701) (37/29,23/18) -> (23/9,41/16) Hyperbolic Matrix(1951,-2496,426,-545) (23/18,32/25) -> (32/7,55/12) Hyperbolic Matrix(4447,-5694,1644,-2105) (32/25,41/32) -> (119/44,46/17) Hyperbolic Matrix(3041,-3900,1278,-1639) (41/32,9/7) -> (69/29,119/50) Hyperbolic Matrix(545,-702,243,-313) (9/7,40/31) -> (38/17,9/4) Hyperbolic Matrix(1873,-2418,543,-701) (40/31,31/24) -> (31/9,38/11) Hyperbolic Matrix(5071,-6552,3561,-4601) (31/24,84/65) -> (84/59,47/33) Hyperbolic Matrix(1327,-1716,904,-1169) (53/41,22/17) -> (22/15,25/17) Hyperbolic Matrix(4759,-6162,1445,-1871) (22/17,79/61) -> (79/24,56/17) Hyperbolic Matrix(4757,-6162,904,-1171) (79/61,57/44) -> (21/4,79/15) Hyperbolic Matrix(5539,-7176,3431,-4445) (57/44,92/71) -> (92/57,21/13) Hyperbolic Matrix(9751,-12636,7162,-9281) (92/71,35/27) -> (113/83,64/47) Hyperbolic Matrix(781,-1014,600,-779) (35/27,13/10) -> (13/10,43/33) Parabolic Matrix(2573,-3354,1018,-1327) (43/33,73/56) -> (5/2,43/17) Hyperbolic Matrix(3589,-4680,2033,-2651) (73/56,30/23) -> (30/17,83/47) Hyperbolic Matrix(1015,-1326,656,-857) (30/23,17/13) -> (17/11,48/31) Hyperbolic Matrix(4523,-5928,1072,-1405) (38/29,59/45) -> (97/23,38/9) Hyperbolic Matrix(2497,-3276,1545,-2027) (59/45,21/16) -> (21/13,97/60) Hyperbolic Matrix(1483,-1950,1067,-1403) (21/16,25/19) -> (25/18,57/41) Hyperbolic Matrix(1715,-2262,533,-703) (29/22,4/3) -> (74/23,29/9) Hyperbolic Matrix(1795,-2418,752,-1013) (4/3,27/20) -> (105/44,74/31) Hyperbolic Matrix(1327,-1794,807,-1091) (27/20,23/17) -> (23/14,51/31) Hyperbolic Matrix(1325,-1794,404,-547) (23/17,19/14) -> (59/18,23/7) Hyperbolic Matrix(1951,-2652,860,-1169) (19/14,34/25) -> (34/15,59/26) Hyperbolic Matrix(1949,-2652,402,-547) (34/25,49/36) -> (29/6,34/7) Hyperbolic Matrix(4525,-6162,973,-1325) (64/47,79/58) -> (79/17,14/3) Hyperbolic Matrix(9047,-12324,1604,-2185) (79/58,15/11) -> (141/25,79/14) Hyperbolic Matrix(857,-1170,115,-157) (15/11,56/41) -> (22/3,15/2) Hyperbolic Matrix(4681,-6396,1826,-2495) (56/41,41/30) -> (41/16,100/39) Hyperbolic Matrix(1483,-2028,1083,-1481) (41/30,26/19) -> (26/19,37/27) Parabolic Matrix(625,-858,397,-545) (37/27,11/8) -> (11/7,41/26) Hyperbolic Matrix(623,-858,114,-157) (11/8,40/29) -> (38/7,11/2) Hyperbolic Matrix(1639,-2262,734,-1013) (40/29,29/21) -> (29/13,38/17) Hyperbolic Matrix(1015,-1404,394,-545) (29/21,18/13) -> (18/7,49/19) Hyperbolic Matrix(2027,-2808,789,-1093) (18/13,79/57) -> (77/30,18/7) Hyperbolic Matrix(6865,-9516,4726,-6551) (79/57,61/44) -> (61/42,77/53) Hyperbolic Matrix(4837,-6708,2699,-3743) (104/75,43/31) -> (43/24,52/29) Hyperbolic Matrix(2417,-3354,1687,-2341) (43/31,68/49) -> (10/7,43/30) Hyperbolic Matrix(19109,-26520,5340,-7411) (68/49,161/116) -> (229/64,68/19) Hyperbolic Matrix(32369,-44928,13544,-18799) (161/116,93/67) -> (141/59,239/100) Hyperbolic Matrix(8035,-11154,1404,-1949) (93/67,25/18) -> (103/18,63/11) Hyperbolic Matrix(6395,-8892,1908,-2653) (57/41,89/64) -> (67/20,57/17) Hyperbolic Matrix(3197,-4446,1459,-2029) (89/64,32/23) -> (46/21,11/5) Hyperbolic Matrix(1793,-2496,505,-703) (32/23,39/28) -> (39/11,32/9) Hyperbolic Matrix(391,-546,111,-155) (39/28,7/5) -> (7/2,39/11) Hyperbolic Matrix(389,-546,223,-313) (7/5,38/27) -> (40/23,7/4) Hyperbolic Matrix(1717,-2418,387,-545) (38/27,31/22) -> (31/7,40/9) Hyperbolic Matrix(1715,-2418,222,-313) (31/22,55/39) -> (23/3,31/4) Hyperbolic Matrix(4369,-6162,3041,-4289) (55/39,79/56) -> (79/55,23/16) Hyperbolic Matrix(2653,-3744,552,-779) (79/56,24/17) -> (24/5,77/16) Hyperbolic Matrix(1325,-1872,608,-859) (24/17,41/29) -> (37/17,24/11) Hyperbolic Matrix(937,-1326,330,-467) (41/29,17/12) -> (17/6,37/13) Hyperbolic Matrix(2419,-3432,714,-1013) (17/12,44/31) -> (44/13,61/18) Hyperbolic Matrix(7801,-11076,2856,-4055) (44/31,71/50) -> (71/26,112/41) Hyperbolic Matrix(1483,-2106,219,-311) (71/50,27/19) -> (27/4,7/1) Hyperbolic Matrix(2029,-2886,438,-623) (27/19,37/26) -> (37/8,51/11) Hyperbolic Matrix(11233,-15990,7835,-11153) (37/26,121/85) -> (43/30,119/83) Hyperbolic Matrix(547,-780,54,-77) (57/40,10/7) -> (10/1,21/2) Hyperbolic Matrix(32369,-46410,9793,-14041) (119/83,195/136) -> (195/59,119/36) Hyperbolic Matrix(20671,-29640,6255,-8969) (195/136,76/53) -> (76/23,195/59) Hyperbolic Matrix(8267,-11856,2285,-3277) (76/53,33/23) -> (123/34,76/21) Hyperbolic Matrix(9673,-13884,5977,-8579) (33/23,89/62) -> (89/55,123/76) Hyperbolic Matrix(9127,-13104,2770,-3977) (89/62,56/39) -> (56/17,145/44) Hyperbolic Matrix(4291,-6162,977,-1403) (56/39,79/55) -> (79/18,22/5) Hyperbolic Matrix(1247,-1794,326,-469) (23/16,36/25) -> (42/11,23/6) Hyperbolic Matrix(703,-1014,486,-701) (36/25,13/9) -> (13/9,42/29) Parabolic Matrix(11467,-16614,4360,-6317) (42/29,71/49) -> (71/27,192/73) Hyperbolic Matrix(3821,-5538,2261,-3277) (71/49,29/20) -> (49/29,71/42) Hyperbolic Matrix(1559,-2262,377,-547) (29/20,74/51) -> (4/1,29/7) Hyperbolic Matrix(4837,-7020,3009,-4367) (74/51,45/31) -> (45/28,82/51) Hyperbolic Matrix(5851,-8502,1556,-2261) (77/53,16/11) -> (94/25,79/21) Hyperbolic Matrix(1873,-2730,695,-1013) (16/11,35/24) -> (35/13,62/23) Hyperbolic Matrix(1015,-1482,213,-311) (35/24,19/13) -> (19/4,43/9) Hyperbolic Matrix(2185,-3198,852,-1247) (19/13,22/15) -> (100/39,59/23) Hyperbolic Matrix(1639,-2418,951,-1403) (25/17,3/2) -> (81/47,131/76) Hyperbolic Matrix(1483,-2262,613,-935) (3/2,26/17) -> (104/43,75/31) Hyperbolic Matrix(1171,-1794,203,-311) (26/17,23/15) -> (23/4,52/9) Hyperbolic Matrix(2185,-3354,914,-1403) (23/15,20/13) -> (98/41,55/23) Hyperbolic Matrix(859,-1326,252,-389) (20/13,17/11) -> (17/5,58/17) Hyperbolic Matrix(3979,-6162,1460,-2261) (48/31,31/20) -> (109/40,30/11) Hyperbolic Matrix(703,-1092,150,-233) (31/20,14/9) -> (14/3,47/10) Hyperbolic Matrix(701,-1092,251,-391) (14/9,39/25) -> (39/14,14/5) Hyperbolic Matrix(1249,-1950,449,-701) (39/25,25/16) -> (25/9,39/14) Hyperbolic Matrix(3043,-4758,1895,-2963) (25/16,86/55) -> (8/5,53/33) Hyperbolic Matrix(3589,-5616,1096,-1715) (61/39,36/23) -> (36/11,95/29) Hyperbolic Matrix(547,-858,248,-389) (36/23,11/7) -> (11/5,42/19) Hyperbolic Matrix(1483,-2340,642,-1013) (41/26,30/19) -> (30/13,37/16) Hyperbolic Matrix(2963,-4680,692,-1093) (30/19,79/50) -> (77/18,30/7) Hyperbolic Matrix(3899,-6162,2419,-3823) (79/50,49/31) -> (29/18,79/49) Hyperbolic Matrix(7253,-11466,2665,-4213) (49/31,117/74) -> (117/43,49/18) Hyperbolic Matrix(10063,-15912,3699,-5849) (117/74,68/43) -> (68/25,117/43) Hyperbolic Matrix(937,-1482,98,-155) (68/43,19/12) -> (19/2,10/1) Hyperbolic Matrix(23167,-36738,8853,-14039) (111/70,157/99) -> (157/60,123/47) Hyperbolic Matrix(14509,-23010,3393,-5381) (157/99,46/29) -> (124/29,77/18) Hyperbolic Matrix(1327,-2106,540,-857) (46/29,27/17) -> (27/11,32/13) Hyperbolic Matrix(1325,-2106,246,-391) (27/17,35/22) -> (43/8,27/5) Hyperbolic Matrix(391,-624,146,-233) (35/22,8/5) -> (8/3,43/16) Hyperbolic Matrix(2573,-4134,389,-625) (53/33,45/28) -> (33/5,53/8) Hyperbolic Matrix(7955,-12792,3008,-4837) (82/51,37/23) -> (119/45,82/31) Hyperbolic Matrix(1405,-2262,823,-1325) (37/23,29/18) -> (29/17,41/24) Hyperbolic Matrix(3821,-6162,1500,-2419) (79/49,50/31) -> (28/11,79/31) Hyperbolic Matrix(3433,-5538,1595,-2573) (50/31,121/75) -> (43/20,28/13) Hyperbolic Matrix(11699,-18876,3578,-5773) (121/75,71/44) -> (85/26,121/37) Hyperbolic Matrix(13339,-21528,5074,-8189) (71/44,92/57) -> (92/35,163/62) Hyperbolic Matrix(1013,-1638,483,-781) (97/60,76/47) -> (2/1,19/9) Hyperbolic Matrix(3665,-5928,1592,-2575) (76/47,55/34) -> (23/10,76/33) Hyperbolic Matrix(5303,-8580,3086,-4993) (55/34,89/55) -> (67/39,55/32) Hyperbolic Matrix(4915,-7956,2746,-4445) (123/76,34/21) -> (34/19,111/62) Hyperbolic Matrix(625,-1014,384,-623) (34/21,13/8) -> (13/8,44/27) Parabolic Matrix(6317,-10296,1867,-3043) (44/27,119/73) -> (115/34,44/13) Hyperbolic Matrix(45551,-74256,16843,-27457) (119/73,313/192) -> (311/115,119/44) Hyperbolic Matrix(194065,-316368,74257,-121055) (313/192,507/311) -> (507/194,311/119) Hyperbolic Matrix(121289,-197730,46411,-75661) (507/311,194/119) -> (196/75,507/194) Hyperbolic Matrix(17941,-29250,7415,-12089) (194/119,75/46) -> (75/31,196/81) Hyperbolic Matrix(2965,-4836,1721,-2807) (75/46,31/19) -> (31/18,81/47) Hyperbolic Matrix(859,-1404,238,-389) (31/19,18/11) -> (18/5,47/13) Hyperbolic Matrix(1715,-2808,477,-781) (18/11,77/47) -> (79/22,18/5) Hyperbolic Matrix(12949,-21216,2951,-4835) (77/47,136/83) -> (136/31,79/18) Hyperbolic Matrix(32369,-53040,12615,-20671) (136/83,195/119) -> (195/76,136/53) Hyperbolic Matrix(14041,-23010,5473,-8969) (195/119,59/36) -> (59/23,195/76) Hyperbolic Matrix(3901,-6396,1046,-1715) (59/36,41/25) -> (41/11,97/26) Hyperbolic Matrix(1093,-1794,237,-389) (41/25,23/14) -> (23/5,37/8) Hyperbolic Matrix(3743,-6162,1422,-2341) (51/31,28/17) -> (50/19,129/49) Hyperbolic Matrix(1559,-2574,662,-1093) (33/20,5/3) -> (73/31,33/14) Hyperbolic Matrix(1249,-2106,462,-779) (5/3,27/16) -> (27/10,73/27) Hyperbolic Matrix(4525,-7644,1754,-2963) (27/16,49/29) -> (49/19,129/50) Hyperbolic Matrix(1013,-1716,415,-703) (22/13,39/23) -> (39/16,22/9) Hyperbolic Matrix(781,-1326,321,-545) (39/23,17/10) -> (17/7,39/16) Hyperbolic Matrix(779,-1326,413,-703) (17/10,63/37) -> (15/8,17/9) Hyperbolic Matrix(16535,-28158,2932,-4993) (63/37,172/101) -> (62/11,141/25) Hyperbolic Matrix(39389,-67080,16260,-27691) (172/101,109/64) -> (281/116,172/71) Hyperbolic Matrix(14975,-25506,5496,-9361) (109/64,46/27) -> (188/69,109/40) Hyperbolic Matrix(4211,-7176,1923,-3277) (46/27,121/71) -> (35/16,46/21) Hyperbolic Matrix(12403,-21138,2837,-4835) (121/71,196/115) -> (118/27,35/8) Hyperbolic Matrix(17939,-30576,6865,-11701) (196/115,75/44) -> (81/31,196/75) Hyperbolic Matrix(1327,-2262,457,-779) (75/44,104/61) -> (26/9,3/1) Hyperbolic Matrix(1871,-3198,822,-1405) (41/24,12/7) -> (66/29,41/18) Hyperbolic Matrix(545,-936,46,-79) (12/7,67/39) -> (11/1,12/1) Hyperbolic Matrix(1951,-3354,680,-1169) (55/32,43/25) -> (43/15,23/8) Hyperbolic Matrix(5849,-10062,2449,-4213) (43/25,117/68) -> (117/49,43/18) Hyperbolic Matrix(10063,-17316,4215,-7253) (117/68,74/43) -> (74/31,117/49) Hyperbolic Matrix(1405,-2418,362,-623) (74/43,31/18) -> (31/8,4/1) Hyperbolic Matrix(9049,-15600,3800,-6551) (131/76,50/29) -> (50/21,181/76) Hyperbolic Matrix(2261,-3900,498,-859) (50/29,69/40) -> (9/2,50/11) Hyperbolic Matrix(1717,-2964,632,-1091) (69/40,19/11) -> (19/7,87/32) Hyperbolic Matrix(857,-1482,181,-313) (19/11,45/26) -> (33/7,19/4) Hyperbolic Matrix(1171,-2028,675,-1169) (45/26,26/15) -> (26/15,33/19) Parabolic Matrix(1481,-2574,584,-1015) (33/19,40/23) -> (38/15,33/13) Hyperbolic Matrix(1327,-2340,486,-857) (7/4,30/17) -> (30/11,71/26) Hyperbolic Matrix(4681,-8268,706,-1247) (83/47,53/30) -> (53/8,73/11) Hyperbolic Matrix(3353,-5928,1280,-2263) (53/30,23/13) -> (55/21,131/50) Hyperbolic Matrix(1013,-1794,441,-781) (23/13,39/22) -> (39/17,23/10) Hyperbolic Matrix(703,-1248,307,-545) (39/22,16/9) -> (16/7,39/17) Hyperbolic Matrix(701,-1248,132,-235) (16/9,41/23) -> (37/7,16/3) Hyperbolic Matrix(1793,-3198,744,-1327) (41/23,25/14) -> (53/22,41/17) Hyperbolic Matrix(1483,-2652,392,-701) (25/14,34/19) -> (34/9,53/14) Hyperbolic Matrix(6317,-11310,959,-1717) (111/62,77/43) -> (79/12,33/5) Hyperbolic Matrix(29093,-52104,10758,-19267) (77/43,120/67) -> (192/71,311/115) Hyperbolic Matrix(8971,-16068,2743,-4913) (120/67,43/24) -> (121/37,36/11) Hyperbolic Matrix(1249,-2262,344,-623) (9/5,29/16) -> (29/8,69/19) Hyperbolic Matrix(859,-1560,386,-701) (29/16,20/11) -> (20/9,49/22) Hyperbolic Matrix(2653,-4836,1112,-2027) (51/28,31/17) -> (31/13,105/44) Hyperbolic Matrix(469,-858,170,-311) (31/17,11/6) -> (11/4,47/17) Hyperbolic Matrix(2417,-4446,679,-1249) (11/6,46/25) -> (32/9,89/25) Hyperbolic Matrix(3899,-7176,1611,-2965) (46/25,35/19) -> (121/50,46/19) Hyperbolic Matrix(1013,-1872,296,-547) (24/13,13/7) -> (65/19,24/7) Hyperbolic Matrix(1717,-3198,502,-935) (13/7,28/15) -> (106/31,65/19) Hyperbolic Matrix(2965,-5538,1127,-2105) (28/15,43/23) -> (121/46,50/19) Hyperbolic Matrix(1793,-3354,626,-1171) (43/23,15/8) -> (63/22,43/15) Hyperbolic Matrix(781,-1482,205,-389) (17/9,19/10) -> (19/5,61/16) Hyperbolic Matrix(857,-1638,327,-625) (19/10,2/1) -> (76/29,97/37) Hyperbolic Matrix(1327,-2808,405,-857) (19/9,17/8) -> (95/29,59/18) Hyperbolic Matrix(623,-1326,257,-547) (17/8,15/7) -> (63/26,17/7) Hyperbolic Matrix(3121,-6708,1306,-2807) (15/7,43/20) -> (43/18,141/59) Hyperbolic Matrix(469,-1014,216,-467) (28/13,13/6) -> (13/6,50/23) Parabolic Matrix(3587,-7800,1507,-3277) (50/23,37/17) -> (119/50,50/21) Hyperbolic Matrix(857,-1872,179,-391) (24/11,35/16) -> (43/9,24/5) Hyperbolic Matrix(7723,-17082,2856,-6317) (42/19,73/33) -> (73/27,192/71) Hyperbolic Matrix(1091,-2418,282,-625) (31/14,51/23) -> (27/7,31/8) Hyperbolic Matrix(703,-1560,105,-233) (51/23,20/9) -> (20/3,27/4) Hyperbolic Matrix(2731,-6084,1225,-2729) (49/22,78/35) -> (78/35,29/13) Parabolic Matrix(311,-702,35,-79) (9/4,52/23) -> (26/3,9/1) Hyperbolic Matrix(2965,-6708,827,-1871) (52/23,43/19) -> (43/12,104/29) Hyperbolic Matrix(10061,-22776,3825,-8659) (43/19,120/53) -> (192/73,121/46) Hyperbolic Matrix(12091,-27378,2652,-6005) (120/53,77/34) -> (155/34,114/25) Hyperbolic Matrix(3511,-7956,1342,-3041) (77/34,34/15) -> (34/13,157/60) Hyperbolic Matrix(859,-1950,137,-311) (59/26,25/11) -> (25/4,19/3) Hyperbolic Matrix(4835,-10998,892,-2029) (25/11,91/40) -> (65/12,103/19) Hyperbolic Matrix(12479,-28392,3703,-8425) (91/40,157/69) -> (155/46,91/27) Hyperbolic Matrix(857,-1950,69,-157) (157/69,66/29) -> (12/1,1/0) Hyperbolic Matrix(2807,-6396,822,-1873) (41/18,57/25) -> (99/29,41/12) Hyperbolic Matrix(8737,-20124,3386,-7799) (76/33,53/23) -> (209/81,80/31) Hyperbolic Matrix(17629,-40638,7376,-17003) (136/59,83/36) -> (239/100,98/41) Hyperbolic Matrix(2807,-6474,643,-1483) (83/36,30/13) -> (48/11,83/19) Hyperbolic Matrix(1481,-3432,438,-1015) (37/16,7/3) -> (71/21,115/34) Hyperbolic Matrix(233,-546,67,-157) (7/3,40/17) -> (38/11,7/2) Hyperbolic Matrix(5069,-11934,1160,-2731) (40/17,73/31) -> (83/19,118/27) Hyperbolic Matrix(859,-2028,363,-857) (33/14,26/11) -> (26/11,45/19) Parabolic Matrix(623,-1482,66,-157) (19/8,69/29) -> (9/1,19/2) Hyperbolic Matrix(40873,-97344,17161,-40871) (181/76,312/131) -> (312/131,131/55) Parabolic Matrix(5927,-14118,1343,-3199) (131/55,81/34) -> (75/17,53/12) Hyperbolic Matrix(2651,-6318,1015,-2419) (81/34,31/13) -> (47/18,81/31) Hyperbolic Matrix(3587,-8580,1370,-3277) (55/23,12/5) -> (144/55,55/21) Hyperbolic Matrix(5773,-13884,2205,-5303) (12/5,77/32) -> (233/89,144/55) Hyperbolic Matrix(4213,-10140,907,-2183) (77/32,65/27) -> (65/14,79/17) Hyperbolic Matrix(5539,-13338,1522,-3665) (65/27,53/22) -> (131/36,91/25) Hyperbolic Matrix(937,-2262,355,-857) (41/17,29/12) -> (29/11,37/14) Hyperbolic Matrix(1871,-4524,323,-781) (29/12,104/43) -> (52/9,29/5) Hyperbolic Matrix(5383,-13026,2127,-5147) (196/81,121/50) -> (43/17,38/15) Hyperbolic Matrix(6473,-15678,1514,-3667) (46/19,109/45) -> (47/11,124/29) Hyperbolic Matrix(62791,-152100,25921,-62789) (109/45,390/161) -> (390/161,281/116) Parabolic Matrix(3509,-8502,934,-2263) (172/71,63/26) -> (15/4,94/25) Hyperbolic Matrix(701,-1716,96,-235) (22/9,49/20) -> (29/4,22/3) Hyperbolic Matrix(2419,-5928,668,-1637) (49/20,27/11) -> (105/29,29/8) Hyperbolic Matrix(1013,-2496,222,-547) (32/13,5/2) -> (73/16,32/7) Hyperbolic Matrix(859,-2184,153,-389) (33/13,28/11) -> (28/5,45/8) Hyperbolic Matrix(9671,-24648,2816,-7177) (79/31,130/51) -> (182/53,79/23) Hyperbolic Matrix(13339,-34008,5170,-13181) (130/51,51/20) -> (129/50,338/131) Hyperbolic Matrix(703,-1794,183,-467) (51/20,23/9) -> (23/6,27/7) Hyperbolic Matrix(5927,-15210,1125,-2887) (136/53,77/30) -> (79/15,58/11) Hyperbolic Matrix(28235,-72852,8223,-21217) (338/131,209/81) -> (103/30,182/53) Hyperbolic Matrix(2417,-6240,514,-1327) (80/31,31/12) -> (47/10,80/17) Hyperbolic Matrix(391,-1014,150,-389) (31/12,13/5) -> (13/5,47/18) Parabolic Matrix(11699,-30576,2567,-6709) (311/119,115/44) -> (41/9,155/34) Hyperbolic Matrix(5461,-14274,1999,-5225) (115/44,34/13) -> (112/41,41/15) Hyperbolic Matrix(5305,-13884,1609,-4211) (123/47,89/34) -> (89/27,33/10) Hyperbolic Matrix(9049,-23712,2500,-6551) (131/50,76/29) -> (76/21,181/50) Hyperbolic Matrix(1249,-3276,297,-779) (97/37,21/8) -> (21/5,59/14) Hyperbolic Matrix(2731,-7176,623,-1637) (21/8,92/35) -> (92/21,57/13) Hyperbolic Matrix(20827,-54756,7921,-20825) (163/62,234/89) -> (234/89,71/27) Parabolic Matrix(22309,-58734,6162,-16223) (129/49,208/79) -> (286/79,105/29) Hyperbolic Matrix(9983,-26286,2074,-5461) (208/79,79/30) -> (77/16,130/27) Hyperbolic Matrix(2339,-6162,859,-2263) (79/30,29/11) -> (49/18,79/29) Hyperbolic Matrix(9205,-24336,3481,-9203) (37/14,156/59) -> (156/59,119/45) Parabolic Matrix(2653,-7020,825,-2183) (82/31,45/17) -> (45/14,74/23) Hyperbolic Matrix(235,-624,29,-77) (53/20,8/3) -> (8/1,25/3) Hyperbolic Matrix(2263,-6084,841,-2261) (43/16,78/29) -> (78/29,35/13) Parabolic Matrix(547,-1482,86,-233) (46/17,19/7) -> (19/3,32/5) Hyperbolic Matrix(6785,-18486,1031,-2809) (79/29,188/69) -> (46/7,79/12) Hyperbolic Matrix(313,-858,85,-233) (41/15,11/4) -> (11/3,37/10) Hyperbolic Matrix(1015,-2808,197,-545) (47/17,83/30) -> (5/1,31/6) Hyperbolic Matrix(4369,-12090,958,-2651) (83/30,36/13) -> (114/25,73/16) Hyperbolic Matrix(1717,-4758,450,-1247) (36/13,61/22) -> (61/16,42/11) Hyperbolic Matrix(703,-1950,84,-233) (61/22,25/9) -> (25/3,17/2) Hyperbolic Matrix(2105,-5928,582,-1639) (45/16,31/11) -> (47/13,123/34) Hyperbolic Matrix(469,-1326,110,-311) (31/11,17/6) -> (17/4,47/11) Hyperbolic Matrix(1013,-2886,192,-547) (37/13,20/7) -> (58/11,37/7) Hyperbolic Matrix(1091,-3120,164,-469) (20/7,63/22) -> (93/14,20/3) Hyperbolic Matrix(547,-1716,124,-389) (3/1,22/7) -> (22/5,75/17) Hyperbolic Matrix(1015,-3198,272,-857) (22/7,19/6) -> (97/26,56/15) Hyperbolic Matrix(391,-1248,73,-233) (35/11,16/5) -> (16/3,43/8) Hyperbolic Matrix(1093,-3510,194,-623) (16/5,45/14) -> (45/8,62/11) Hyperbolic Matrix(313,-1014,96,-311) (29/9,13/4) -> (13/4,49/15) Parabolic Matrix(859,-2808,119,-389) (49/15,85/26) -> (7/1,29/4) Hyperbolic Matrix(1873,-6162,545,-1793) (23/7,79/24) -> (79/23,55/16) Hyperbolic Matrix(16615,-54756,5041,-16613) (145/44,234/71) -> (234/71,89/27) Parabolic Matrix(1559,-5148,331,-1093) (33/10,76/23) -> (80/17,33/7) Hyperbolic Matrix(1793,-5928,307,-1015) (119/36,43/13) -> (35/6,41/7) Hyperbolic Matrix(1013,-3354,283,-937) (43/13,10/3) -> (68/19,43/12) Hyperbolic Matrix(1093,-3666,209,-701) (57/17,47/14) -> (47/9,21/4) Hyperbolic Matrix(859,-2886,139,-467) (47/14,84/25) -> (6/1,31/5) Hyperbolic Matrix(1091,-3666,186,-625) (84/25,37/11) -> (41/7,6/1) Hyperbolic Matrix(4445,-14976,1181,-3979) (64/19,155/46) -> (79/21,64/17) Hyperbolic Matrix(1249,-4212,231,-779) (91/27,27/8) -> (27/5,65/12) Hyperbolic Matrix(1795,-6084,529,-1793) (61/18,78/23) -> (78/23,17/5) Parabolic Matrix(4913,-16770,1120,-3823) (58/17,99/29) -> (57/13,136/31) Hyperbolic Matrix(1871,-6396,411,-1405) (41/12,106/31) -> (50/11,41/9) Hyperbolic Matrix(1247,-4290,159,-547) (86/25,117/34) -> (39/5,8/1) Hyperbolic Matrix(1405,-4836,181,-623) (117/34,31/9) -> (31/4,39/5) Hyperbolic Matrix(701,-2496,66,-235) (89/25,57/16) -> (21/2,11/1) Hyperbolic Matrix(547,-1950,131,-467) (57/16,25/7) -> (25/6,21/5) Hyperbolic Matrix(1483,-5304,196,-701) (25/7,93/26) -> (15/2,53/7) Hyperbolic Matrix(6083,-21762,916,-3277) (93/26,161/45) -> (73/11,93/14) Hyperbolic Matrix(42511,-152100,11881,-42509) (161/45,390/109) -> (390/109,229/64) Parabolic Matrix(935,-3354,109,-391) (104/29,61/17) -> (17/2,26/3) Hyperbolic Matrix(1717,-6162,304,-1091) (61/17,79/22) -> (79/14,17/3) Hyperbolic Matrix(10687,-38688,2219,-8033) (181/50,286/79) -> (130/27,53/11) Hyperbolic Matrix(859,-3120,193,-701) (69/19,40/11) -> (40/9,9/2) Hyperbolic Matrix(1951,-7098,257,-935) (40/11,131/36) -> (53/7,38/5) Hyperbolic Matrix(2185,-7956,471,-1715) (91/25,51/14) -> (51/11,65/14) Hyperbolic Matrix(547,-2028,147,-545) (37/10,26/7) -> (26/7,41/11) Parabolic Matrix(1325,-4992,228,-859) (64/17,49/13) -> (29/5,64/11) Hyperbolic Matrix(1013,-3822,207,-781) (83/22,117/31) -> (39/8,5/1) Hyperbolic Matrix(1405,-5304,289,-1091) (117/31,34/9) -> (34/7,39/8) Hyperbolic Matrix(545,-2262,113,-469) (29/7,25/6) -> (53/11,29/6) Hyperbolic Matrix(5773,-24336,1369,-5771) (59/14,156/37) -> (156/37,97/23) Parabolic Matrix(313,-1326,55,-233) (38/9,17/4) -> (17/3,40/7) Hyperbolic Matrix(235,-1014,54,-233) (30/7,13/3) -> (13/3,48/11) Parabolic Matrix(1247,-5460,214,-937) (35/8,92/21) -> (64/11,35/6) Hyperbolic Matrix(547,-2418,88,-389) (53/12,31/7) -> (31/5,25/4) Hyperbolic Matrix(1327,-6084,289,-1325) (55/12,78/17) -> (78/17,23/5) Parabolic Matrix(391,-2028,75,-389) (31/6,26/5) -> (26/5,47/9) Parabolic Matrix(1481,-8034,259,-1405) (103/19,38/7) -> (40/7,103/18) Hyperbolic Matrix(157,-1014,24,-155) (32/5,13/2) -> (13/2,46/7) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,0,1,1) -> Matrix(0,-1,1,0) Matrix(2419,-2652,924,-1013) -> Matrix(1,-2,0,1) Matrix(703,-780,210,-233) -> Matrix(1,0,4,1) Matrix(1327,-1482,488,-545) -> Matrix(1,0,-10,1) Matrix(623,-702,347,-391) -> Matrix(2,-1,5,-2) Matrix(2963,-3354,2137,-2419) -> Matrix(2,-1,5,-2) Matrix(1717,-1950,1098,-1247) -> Matrix(13,-6,-2,1) Matrix(2105,-2418,612,-703) -> Matrix(3,-4,4,-5) Matrix(1559,-1794,272,-313) -> Matrix(3,-2,2,-1) Matrix(1013,-1170,271,-313) -> Matrix(0,1,-1,2) Matrix(1481,-1716,876,-1015) -> Matrix(1,6,0,1) Matrix(1795,-2106,531,-623) -> Matrix(0,1,-1,2) Matrix(1327,-1560,729,-857) -> Matrix(2,3,1,2) Matrix(7021,-8268,3046,-3587) -> Matrix(15,4,-4,-1) Matrix(3509,-4134,1325,-1561) -> Matrix(4,1,-1,0) Matrix(3041,-3588,1918,-2263) -> Matrix(11,2,-6,-1) Matrix(1249,-1482,788,-935) -> Matrix(9,-2,-4,1) Matrix(1247,-1482,329,-391) -> Matrix(2,-1,5,-2) Matrix(2029,-2418,1570,-1871) -> Matrix(1,0,0,1) Matrix(3041,-3666,2136,-2575) -> Matrix(1,0,-2,1) Matrix(4133,-4992,3036,-3667) -> Matrix(3,-2,2,-1) Matrix(3743,-4524,2195,-2653) -> Matrix(8,-5,-3,2) Matrix(1483,-1794,515,-623) -> Matrix(2,-1,1,0) Matrix(1481,-1794,194,-235) -> Matrix(3,-2,2,-1) Matrix(1093,-1326,835,-1013) -> Matrix(2,-1,1,0) Matrix(2887,-3510,1988,-2417) -> Matrix(3,-2,-4,3) Matrix(1795,-2184,1089,-1325) -> Matrix(4,-3,3,-2) Matrix(1793,-2184,321,-391) -> Matrix(12,-11,11,-10) Matrix(703,-858,127,-155) -> Matrix(2,-3,3,-4) Matrix(701,-858,192,-235) -> Matrix(1,0,0,1) Matrix(1715,-2106,636,-781) -> Matrix(1,0,-2,1) Matrix(1013,-1248,444,-547) -> Matrix(1,2,0,1) Matrix(2965,-3666,2081,-2573) -> Matrix(2,-1,1,0) Matrix(1639,-2028,1323,-1637) -> Matrix(0,-1,1,0) Matrix(1949,-2418,881,-1093) -> Matrix(2,1,3,2) Matrix(2105,-2652,558,-703) -> Matrix(1,0,-4,1) Matrix(1793,-2262,1361,-1717) -> Matrix(4,-1,1,0) Matrix(2965,-3744,864,-1091) -> Matrix(5,-2,8,-3) Matrix(1481,-1872,803,-1015) -> Matrix(6,-1,1,0) Matrix(1171,-1482,369,-467) -> Matrix(2,-1,5,-2) Matrix(1169,-1482,493,-625) -> Matrix(4,-3,-5,4) Matrix(859,-1092,306,-389) -> Matrix(1,0,2,1) Matrix(2263,-2886,672,-857) -> Matrix(1,0,2,1) Matrix(1405,-1794,549,-701) -> Matrix(4,-1,1,0) Matrix(1951,-2496,426,-545) -> Matrix(3,-2,2,-1) Matrix(4447,-5694,1644,-2105) -> Matrix(1,0,-4,1) Matrix(3041,-3900,1278,-1639) -> Matrix(1,0,-4,1) Matrix(545,-702,243,-313) -> Matrix(4,-3,3,-2) Matrix(1873,-2418,543,-701) -> Matrix(0,1,-1,2) Matrix(5071,-6552,3561,-4601) -> Matrix(2,-1,1,0) Matrix(1327,-1716,904,-1169) -> Matrix(1,0,-2,1) Matrix(4759,-6162,1445,-1871) -> Matrix(2,-1,1,0) Matrix(4757,-6162,904,-1171) -> Matrix(3,-2,-10,7) Matrix(5539,-7176,3431,-4445) -> Matrix(4,-3,3,-2) Matrix(9751,-12636,7162,-9281) -> Matrix(3,-2,-4,3) Matrix(781,-1014,600,-779) -> Matrix(7,-6,6,-5) Matrix(2573,-3354,1018,-1327) -> Matrix(1,-2,2,-3) Matrix(3589,-4680,2033,-2651) -> Matrix(2,-3,-5,8) Matrix(1015,-1326,656,-857) -> Matrix(1,0,0,1) Matrix(4523,-5928,1072,-1405) -> Matrix(7,-6,6,-5) Matrix(2497,-3276,1545,-2027) -> Matrix(2,-3,-1,2) Matrix(1483,-1950,1067,-1403) -> Matrix(2,-3,3,-4) Matrix(1715,-2262,533,-703) -> Matrix(0,-1,1,0) Matrix(1795,-2418,752,-1013) -> Matrix(1,0,-2,1) Matrix(1327,-1794,807,-1091) -> Matrix(0,1,-1,2) Matrix(1325,-1794,404,-547) -> Matrix(1,0,2,1) Matrix(1951,-2652,860,-1169) -> Matrix(1,0,0,1) Matrix(1949,-2652,402,-547) -> Matrix(1,4,0,1) Matrix(4525,-6162,973,-1325) -> Matrix(2,-1,1,0) Matrix(9047,-12324,1604,-2185) -> Matrix(3,4,2,3) Matrix(857,-1170,115,-157) -> Matrix(0,1,-1,2) Matrix(4681,-6396,1826,-2495) -> Matrix(1,2,0,1) Matrix(1483,-2028,1083,-1481) -> Matrix(0,-1,1,0) Matrix(625,-858,397,-545) -> Matrix(0,-1,1,0) Matrix(623,-858,114,-157) -> Matrix(1,0,0,1) Matrix(1639,-2262,734,-1013) -> Matrix(5,-4,4,-3) Matrix(1015,-1404,394,-545) -> Matrix(1,0,0,1) Matrix(2027,-2808,789,-1093) -> Matrix(0,-1,1,0) Matrix(6865,-9516,4726,-6551) -> Matrix(1,0,-4,1) Matrix(4837,-6708,2699,-3743) -> Matrix(2,-1,5,-2) Matrix(2417,-3354,1687,-2341) -> Matrix(4,-3,3,-2) Matrix(19109,-26520,5340,-7411) -> Matrix(7,-6,6,-5) Matrix(32369,-44928,13544,-18799) -> Matrix(1,0,-2,1) Matrix(8035,-11154,1404,-1949) -> Matrix(5,-4,4,-3) Matrix(6395,-8892,1908,-2653) -> Matrix(3,-2,8,-5) Matrix(3197,-4446,1459,-2029) -> Matrix(4,-3,11,-8) Matrix(1793,-2496,505,-703) -> Matrix(10,-9,9,-8) Matrix(391,-546,111,-155) -> Matrix(2,-3,3,-4) Matrix(389,-546,223,-313) -> Matrix(0,-1,1,0) Matrix(1717,-2418,387,-545) -> Matrix(0,1,-1,2) Matrix(1715,-2418,222,-313) -> Matrix(3,-4,4,-5) Matrix(4369,-6162,3041,-4289) -> Matrix(8,-11,3,-4) Matrix(2653,-3744,552,-779) -> Matrix(5,-8,2,-3) Matrix(1325,-1872,608,-859) -> Matrix(1,-2,6,-11) Matrix(937,-1326,330,-467) -> Matrix(1,-2,0,1) Matrix(2419,-3432,714,-1013) -> Matrix(1,-2,2,-3) Matrix(7801,-11076,2856,-4055) -> Matrix(1,-2,0,1) Matrix(1483,-2106,219,-311) -> Matrix(0,1,-1,2) Matrix(2029,-2886,438,-623) -> Matrix(1,-2,0,1) Matrix(11233,-15990,7835,-11153) -> Matrix(2,11,1,6) Matrix(547,-780,54,-77) -> Matrix(1,-4,0,1) Matrix(32369,-46410,9793,-14041) -> Matrix(22,-43,43,-84) Matrix(20671,-29640,6255,-8969) -> Matrix(14,-29,29,-60) Matrix(8267,-11856,2285,-3277) -> Matrix(2,-5,5,-12) Matrix(9673,-13884,5977,-8579) -> Matrix(0,-1,1,0) Matrix(9127,-13104,2770,-3977) -> Matrix(1,-2,2,-3) Matrix(4291,-6162,977,-1403) -> Matrix(2,-1,1,0) Matrix(1247,-1794,326,-469) -> Matrix(1,-2,0,1) Matrix(703,-1014,486,-701) -> Matrix(1,-6,0,1) Matrix(11467,-16614,4360,-6317) -> Matrix(1,2,0,1) Matrix(3821,-5538,2261,-3277) -> Matrix(6,11,1,2) Matrix(1559,-2262,377,-547) -> Matrix(0,-1,1,0) Matrix(4837,-7020,3009,-4367) -> Matrix(0,-1,1,2) Matrix(5851,-8502,1556,-2261) -> Matrix(1,0,0,1) Matrix(1873,-2730,695,-1013) -> Matrix(2,-1,-3,2) Matrix(1015,-1482,213,-311) -> Matrix(2,-5,1,-2) Matrix(2185,-3198,852,-1247) -> Matrix(1,4,0,1) Matrix(1639,-2418,951,-1403) -> Matrix(2,1,-1,0) Matrix(1483,-2262,613,-935) -> Matrix(0,-1,1,2) Matrix(1171,-1794,203,-311) -> Matrix(2,-1,1,0) Matrix(2185,-3354,914,-1403) -> Matrix(1,-2,-2,5) Matrix(859,-1326,252,-389) -> Matrix(1,0,2,1) Matrix(3979,-6162,1460,-2261) -> Matrix(1,-2,2,-3) Matrix(703,-1092,150,-233) -> Matrix(1,-2,0,1) Matrix(701,-1092,251,-391) -> Matrix(0,1,-1,10) Matrix(1249,-1950,449,-701) -> Matrix(0,-1,1,18) Matrix(3043,-4758,1895,-2963) -> Matrix(0,-1,1,8) Matrix(3589,-5616,1096,-1715) -> Matrix(1,4,4,17) Matrix(547,-858,248,-389) -> Matrix(1,2,2,5) Matrix(1483,-2340,642,-1013) -> Matrix(1,-2,0,1) Matrix(2963,-4680,692,-1093) -> Matrix(1,-2,2,-3) Matrix(3899,-6162,2419,-3823) -> Matrix(0,1,-1,4) Matrix(7253,-11466,2665,-4213) -> Matrix(0,1,-1,16) Matrix(10063,-15912,3699,-5849) -> Matrix(0,-1,1,30) Matrix(937,-1482,98,-155) -> Matrix(1,10,0,1) Matrix(23167,-36738,8853,-14039) -> Matrix(0,-1,1,2) Matrix(14509,-23010,3393,-5381) -> Matrix(2,3,5,8) Matrix(1327,-2106,540,-857) -> Matrix(1,2,2,5) Matrix(1325,-2106,246,-391) -> Matrix(1,2,0,1) Matrix(391,-624,146,-233) -> Matrix(1,0,0,1) Matrix(2573,-4134,389,-625) -> Matrix(4,1,-1,0) Matrix(7955,-12792,3008,-4837) -> Matrix(3,2,-2,-1) Matrix(1405,-2262,823,-1325) -> Matrix(4,1,-1,0) Matrix(3821,-6162,1500,-2419) -> Matrix(3,-2,2,-1) Matrix(3433,-5538,1595,-2573) -> Matrix(0,-1,1,4) Matrix(11699,-18876,3578,-5773) -> Matrix(1,0,4,1) Matrix(13339,-21528,5074,-8189) -> Matrix(1,0,0,1) Matrix(1013,-1638,483,-781) -> Matrix(4,3,-3,-2) Matrix(3665,-5928,1592,-2575) -> Matrix(11,6,-2,-1) Matrix(5303,-8580,3086,-4993) -> Matrix(3,2,-2,-1) Matrix(4915,-7956,2746,-4445) -> Matrix(1,0,4,1) Matrix(625,-1014,384,-623) -> Matrix(1,0,4,1) Matrix(6317,-10296,1867,-3043) -> Matrix(2,-1,5,-2) Matrix(45551,-74256,16843,-27457) -> Matrix(4,-1,-7,2) Matrix(194065,-316368,74257,-121055) -> Matrix(4,-1,-7,2) Matrix(121289,-197730,46411,-75661) -> Matrix(2,-1,1,0) Matrix(17941,-29250,7415,-12089) -> Matrix(2,-1,-3,2) Matrix(2965,-4836,1721,-2807) -> Matrix(0,-1,1,0) Matrix(859,-1404,238,-389) -> Matrix(1,0,0,1) Matrix(1715,-2808,477,-781) -> Matrix(0,-1,1,0) Matrix(12949,-21216,2951,-4835) -> Matrix(26,3,17,2) Matrix(32369,-53040,12615,-20671) -> Matrix(42,1,-1,0) Matrix(14041,-23010,5473,-8969) -> Matrix(20,-1,1,0) Matrix(3901,-6396,1046,-1715) -> Matrix(1,0,-2,1) Matrix(1093,-1794,237,-389) -> Matrix(4,-1,1,0) Matrix(3743,-6162,1422,-2341) -> Matrix(3,-2,2,-1) Matrix(1559,-2574,662,-1093) -> Matrix(1,-2,0,1) Matrix(1249,-2106,462,-779) -> Matrix(1,-2,-2,5) Matrix(4525,-7644,1754,-2963) -> Matrix(3,-14,2,-9) Matrix(1013,-1716,415,-703) -> Matrix(0,1,-1,18) Matrix(781,-1326,321,-545) -> Matrix(0,-1,1,14) Matrix(779,-1326,413,-703) -> Matrix(2,9,-1,-4) Matrix(16535,-28158,2932,-4993) -> Matrix(3,16,2,11) Matrix(39389,-67080,16260,-27691) -> Matrix(1,4,-4,-15) Matrix(14975,-25506,5496,-9361) -> Matrix(1,4,2,9) Matrix(4211,-7176,1923,-3277) -> Matrix(0,-1,1,0) Matrix(12403,-21138,2837,-4835) -> Matrix(4,13,3,10) Matrix(17939,-30576,6865,-11701) -> Matrix(2,5,-1,-2) Matrix(1327,-2262,457,-779) -> Matrix(0,-1,1,2) Matrix(1871,-3198,822,-1405) -> Matrix(1,6,0,1) Matrix(545,-936,46,-79) -> Matrix(1,2,0,1) Matrix(1951,-3354,680,-1169) -> Matrix(1,2,2,5) Matrix(5849,-10062,2449,-4213) -> Matrix(0,-1,1,4) Matrix(10063,-17316,4215,-7253) -> Matrix(2,3,-3,-4) Matrix(1405,-2418,362,-623) -> Matrix(1,2,0,1) Matrix(9049,-15600,3800,-6551) -> Matrix(1,2,-2,-3) Matrix(2261,-3900,498,-859) -> Matrix(1,4,0,1) Matrix(1717,-2964,632,-1091) -> Matrix(1,2,-6,-11) Matrix(857,-1482,181,-313) -> Matrix(4,5,3,4) Matrix(1171,-2028,675,-1169) -> Matrix(6,7,-7,-8) Matrix(1481,-2574,584,-1015) -> Matrix(1,0,2,1) Matrix(1327,-2340,486,-857) -> Matrix(1,0,2,1) Matrix(4681,-8268,706,-1247) -> Matrix(15,4,-4,-1) Matrix(3353,-5928,1280,-2263) -> Matrix(11,2,-6,-1) Matrix(1013,-1794,441,-781) -> Matrix(14,1,-1,0) Matrix(703,-1248,307,-545) -> Matrix(10,-1,1,0) Matrix(701,-1248,132,-235) -> Matrix(1,0,-2,1) Matrix(1793,-3198,744,-1327) -> Matrix(1,0,-6,1) Matrix(1483,-2652,392,-701) -> Matrix(1,0,0,1) Matrix(6317,-11310,959,-1717) -> Matrix(2,1,-1,0) Matrix(29093,-52104,10758,-19267) -> Matrix(1,0,-4,1) Matrix(8971,-16068,2743,-4913) -> Matrix(2,-1,9,-4) Matrix(1249,-2262,344,-623) -> Matrix(5,-4,4,-3) Matrix(859,-1560,386,-701) -> Matrix(7,-8,8,-9) Matrix(2653,-4836,1112,-2027) -> Matrix(1,-2,0,1) Matrix(469,-858,170,-311) -> Matrix(1,-2,-2,5) Matrix(2417,-4446,679,-1249) -> Matrix(4,-11,3,-8) Matrix(3899,-7176,1611,-2965) -> Matrix(0,-1,1,0) Matrix(1013,-1872,296,-547) -> Matrix(1,-6,2,-11) Matrix(1717,-3198,502,-935) -> Matrix(1,6,2,13) Matrix(2965,-5538,1127,-2105) -> Matrix(0,-1,1,4) Matrix(1793,-3354,626,-1171) -> Matrix(1,4,2,9) Matrix(781,-1482,205,-389) -> Matrix(4,5,3,4) Matrix(857,-1638,327,-625) -> Matrix(4,3,-3,-2) Matrix(1327,-2808,405,-857) -> Matrix(4,3,13,10) Matrix(623,-1326,257,-547) -> Matrix(2,1,-9,-4) Matrix(3121,-6708,1306,-2807) -> Matrix(1,0,2,1) Matrix(469,-1014,216,-467) -> Matrix(1,0,12,1) Matrix(3587,-7800,1507,-3277) -> Matrix(6,-1,-11,2) Matrix(857,-1872,179,-391) -> Matrix(6,-1,1,0) Matrix(7723,-17082,2856,-6317) -> Matrix(3,-2,-4,3) Matrix(1091,-2418,282,-625) -> Matrix(3,-2,2,-1) Matrix(703,-1560,105,-233) -> Matrix(2,-1,-3,2) Matrix(2731,-6084,1225,-2729) -> Matrix(28,-27,27,-26) Matrix(311,-702,35,-79) -> Matrix(2,-5,1,-2) Matrix(2965,-6708,827,-1871) -> Matrix(2,-5,1,-2) Matrix(10061,-22776,3825,-8659) -> Matrix(0,1,-1,2) Matrix(12091,-27378,2652,-6005) -> Matrix(1,0,0,1) Matrix(3511,-7956,1342,-3041) -> Matrix(1,-4,0,1) Matrix(859,-1950,137,-311) -> Matrix(2,-5,1,-2) Matrix(4835,-10998,892,-2029) -> Matrix(1,-4,2,-7) Matrix(12479,-28392,3703,-8425) -> Matrix(2,-7,7,-24) Matrix(857,-1950,69,-157) -> Matrix(0,1,-1,4) Matrix(2807,-6396,822,-1873) -> Matrix(1,-4,2,-7) Matrix(8737,-20124,3386,-7799) -> Matrix(3,10,2,7) Matrix(17629,-40638,7376,-17003) -> Matrix(3,10,-4,-13) Matrix(2807,-6474,643,-1483) -> Matrix(4,13,3,10) Matrix(1481,-3432,438,-1015) -> Matrix(1,2,2,5) Matrix(233,-546,67,-157) -> Matrix(0,-1,1,0) Matrix(5069,-11934,1160,-2731) -> Matrix(5,6,4,5) Matrix(859,-2028,363,-857) -> Matrix(6,7,-7,-8) Matrix(623,-1482,66,-157) -> Matrix(9,4,2,1) Matrix(40873,-97344,17161,-40871) -> Matrix(2,1,-5,-2) Matrix(5927,-14118,1343,-3199) -> Matrix(0,-1,1,0) Matrix(2651,-6318,1015,-2419) -> Matrix(4,1,-1,0) Matrix(3587,-8580,1370,-3277) -> Matrix(3,2,-2,-1) Matrix(5773,-13884,2205,-5303) -> Matrix(4,1,-1,0) Matrix(4213,-10140,907,-2183) -> Matrix(8,3,5,2) Matrix(5539,-13338,1522,-3665) -> Matrix(5,2,2,1) Matrix(937,-2262,355,-857) -> Matrix(4,1,-1,0) Matrix(1871,-4524,323,-781) -> Matrix(8,3,5,2) Matrix(5383,-13026,2127,-5147) -> Matrix(2,1,-1,0) Matrix(6473,-15678,1514,-3667) -> Matrix(1,0,6,1) Matrix(62791,-152100,25921,-62789) -> Matrix(4,1,-17,-4) Matrix(3509,-8502,934,-2263) -> Matrix(1,0,4,1) Matrix(701,-1716,96,-235) -> Matrix(1,0,-6,1) Matrix(2419,-5928,668,-1637) -> Matrix(9,-2,14,-3) Matrix(1013,-2496,222,-547) -> Matrix(3,-2,2,-1) Matrix(859,-2184,153,-389) -> Matrix(4,-3,3,-2) Matrix(9671,-24648,2816,-7177) -> Matrix(1,-4,2,-7) Matrix(13339,-34008,5170,-13181) -> Matrix(3,-8,2,-5) Matrix(703,-1794,183,-467) -> Matrix(0,1,-1,2) Matrix(5927,-15210,1125,-2887) -> Matrix(0,-1,1,12) Matrix(28235,-72852,8223,-21217) -> Matrix(4,-7,7,-12) Matrix(2417,-6240,514,-1327) -> Matrix(1,-2,0,1) Matrix(391,-1014,150,-389) -> Matrix(1,-4,0,1) Matrix(11699,-30576,2567,-6709) -> Matrix(2,-1,1,0) Matrix(5461,-14274,1999,-5225) -> Matrix(0,-1,1,2) Matrix(5305,-13884,1609,-4211) -> Matrix(0,-1,1,0) Matrix(9049,-23712,2500,-6551) -> Matrix(5,8,8,13) Matrix(1249,-3276,297,-779) -> Matrix(2,1,3,2) Matrix(2731,-7176,623,-1637) -> Matrix(4,-3,3,-2) Matrix(20827,-54756,7921,-20825) -> Matrix(0,-1,1,0) Matrix(22309,-58734,6162,-16223) -> Matrix(1,-4,2,-7) Matrix(9983,-26286,2074,-5461) -> Matrix(1,0,0,1) Matrix(2339,-6162,859,-2263) -> Matrix(0,1,-1,4) Matrix(9205,-24336,3481,-9203) -> Matrix(2,5,-1,-2) Matrix(2653,-7020,825,-2183) -> Matrix(0,-1,1,2) Matrix(235,-624,29,-77) -> Matrix(2,3,1,2) Matrix(2263,-6084,841,-2261) -> Matrix(8,9,-9,-10) Matrix(547,-1482,86,-233) -> Matrix(9,4,2,1) Matrix(6785,-18486,1031,-2809) -> Matrix(2,1,-1,0) Matrix(313,-858,85,-233) -> Matrix(0,-1,1,0) Matrix(1015,-2808,197,-545) -> Matrix(4,1,-1,0) Matrix(4369,-12090,958,-2651) -> Matrix(9,2,4,1) Matrix(1717,-4758,450,-1247) -> Matrix(9,2,4,1) Matrix(703,-1950,84,-233) -> Matrix(13,2,6,1) Matrix(2105,-5928,582,-1639) -> Matrix(1,0,0,1) Matrix(469,-1326,110,-311) -> Matrix(1,0,0,1) Matrix(1013,-2886,192,-547) -> Matrix(1,0,2,1) Matrix(1091,-3120,164,-469) -> Matrix(9,-2,-4,1) Matrix(547,-1716,124,-389) -> Matrix(1,2,0,1) Matrix(1015,-3198,272,-857) -> Matrix(1,0,2,1) Matrix(391,-1248,73,-233) -> Matrix(0,1,-1,2) Matrix(1093,-3510,194,-623) -> Matrix(3,4,2,3) Matrix(313,-1014,96,-311) -> Matrix(1,0,6,1) Matrix(859,-2808,119,-389) -> Matrix(4,-1,1,0) Matrix(1873,-6162,545,-1793) -> Matrix(8,-3,11,-4) Matrix(16615,-54756,5041,-16613) -> Matrix(2,-1,5,-2) Matrix(1559,-5148,331,-1093) -> Matrix(2,-1,5,-2) Matrix(1793,-5928,307,-1015) -> Matrix(20,-11,11,-6) Matrix(1013,-3354,283,-937) -> Matrix(4,-3,3,-2) Matrix(1093,-3666,209,-701) -> Matrix(2,-1,1,0) Matrix(859,-2886,139,-467) -> Matrix(2,-1,1,0) Matrix(1091,-3666,186,-625) -> Matrix(1,2,0,1) Matrix(4445,-14976,1181,-3979) -> Matrix(4,-1,1,0) Matrix(1249,-4212,231,-779) -> Matrix(2,-1,5,-2) Matrix(1795,-6084,529,-1793) -> Matrix(2,-1,5,-2) Matrix(4913,-16770,1120,-3823) -> Matrix(29,-16,20,-11) Matrix(1871,-6396,411,-1405) -> Matrix(4,-1,1,0) Matrix(1247,-4290,159,-547) -> Matrix(8,-7,7,-6) Matrix(1405,-4836,181,-623) -> Matrix(2,-3,3,-4) Matrix(701,-2496,66,-235) -> Matrix(3,-4,-2,3) Matrix(547,-1950,131,-467) -> Matrix(2,-3,3,-4) Matrix(1483,-5304,196,-701) -> Matrix(1,-2,2,-3) Matrix(6083,-21762,916,-3277) -> Matrix(5,-2,-2,1) Matrix(42511,-152100,11881,-42509) -> Matrix(16,-15,15,-14) Matrix(935,-3354,109,-391) -> Matrix(2,-5,1,-2) Matrix(1717,-6162,304,-1091) -> Matrix(3,-8,2,-5) Matrix(10687,-38688,2219,-8033) -> Matrix(4,-3,3,-2) Matrix(859,-3120,193,-701) -> Matrix(0,1,-1,2) Matrix(1951,-7098,257,-935) -> Matrix(2,-3,3,-4) Matrix(2185,-7956,471,-1715) -> Matrix(0,1,-1,2) Matrix(547,-2028,147,-545) -> Matrix(0,-1,1,0) Matrix(1325,-4992,228,-859) -> Matrix(3,-2,2,-1) Matrix(1013,-3822,207,-781) -> Matrix(4,1,-1,0) Matrix(1405,-5304,289,-1091) -> Matrix(10,-1,1,0) Matrix(545,-2262,113,-469) -> Matrix(4,-1,1,0) Matrix(5773,-24336,1369,-5771) -> Matrix(34,-33,33,-32) Matrix(313,-1326,55,-233) -> Matrix(2,-1,1,0) Matrix(235,-1014,54,-233) -> Matrix(7,-6,6,-5) Matrix(1247,-5460,214,-937) -> Matrix(13,-18,8,-11) Matrix(547,-2418,88,-389) -> Matrix(1,0,0,1) Matrix(1327,-6084,289,-1325) -> Matrix(2,-5,1,-2) Matrix(391,-2028,75,-389) -> Matrix(0,-1,1,0) Matrix(1481,-8034,259,-1405) -> Matrix(6,-5,5,-4) Matrix(157,-1014,24,-155) -> Matrix(1,-10,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 3 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: 0 Number of equivalence classes of cusps: 2 Genus: 0 Degree of H/liftables -> H/(image of liftables): 166 ----------------------------------------------------------------------- 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 (-1/1,1/1).(0/1,1/0) 0 1 2/1 1/1 1 39 19/9 -8/9 1 39 17/8 -1/2 1 39 15/7 0 13 43/20 -1/4 1 39 28/13 -1/5 1 39 13/6 0/1 6 3 24/11 (0/1,1/4).(1/5,1/3) 0 13 35/16 1/2 1 39 46/21 1/3 1 39 11/5 0/1 1 39 31/14 1/2 1 39 51/23 0 13 20/9 7/9 1 39 78/35 1/1 27 1 29/13 10/9 1 39 9/4 0 13 52/23 (1/1,3/1).(2/1,1/0) 0 3 43/19 2/1 1 39 120/53 (1/1,3/1).(2/1,1/0) 0 13 77/34 1/0 1 39 34/15 3/1 1 39 25/11 2/1 1 39 41/18 1/0 1 39 16/7 5/1 1 39 39/17 1/0 12 1 23/10 1/0 1 39 53/23 -4/1 1 39 83/36 -5/2 1 39 30/13 (-3/1,-1/1).(-2/1,1/0) 0 13 7/3 -2/1 1 39 40/17 -1/1 1 39 33/14 0 13 26/11 -1/1 7 3 45/19 0 13 19/8 -5/8 1 39 69/29 0 13 50/21 -1/3 1 39 312/131 (-1/1,-1/3).(-1/2,0/1) 0 1 131/55 0/1 1 39 81/34 0 13 31/13 0/1 1 39 74/31 -1/1 1 39 117/49 -1/2 1 1 43/18 -1/2 1 39 55/23 0/1 1 39 12/5 (-1/1,-1/3).(-1/2,0/1) 0 13 77/32 -1/2 1 39 65/27 -1/3 1 3 53/22 -1/4 1 39 41/17 0/1 1 39 29/12 1/0 1 39 104/43 -1/3 1 3 75/31 0 13 196/81 -1/3 1 39 121/50 -1/2 1 39 46/19 -1/3 1 39 109/45 0/1 1 39 390/161 (-1/3,-1/5).(-1/4,0/1) 0 1 172/71 -1/5 1 39 63/26 0 13 17/7 0/1 1 39 39/16 0/1 16 1 22/9 1/9 1 39 49/20 3/16 1 39 27/11 0 13 5/2 1/2 1 39 38/15 1/1 1 39 33/13 0 13 28/11 1/1 1 39 51/20 0 13 23/9 2/1 1 39 41/16 1/0 1 39 59/23 10/1 1 39 195/76 1/0 31 1 136/53 -21/1 1 39 77/30 1/0 1 39 18/7 (-1/1,1/1).(0/1,1/0) 0 13 31/12 1/0 1 39 13/5 1/0 2 3 47/18 1/0 1 39 81/31 0 13 196/75 -1/1 1 39 507/194 -1/1 1 1 311/119 0/1 1 39 115/44 1/0 1 39 34/13 -1/1 1 39 157/60 1/0 1 39 123/47 0 13 89/34 1/0 1 39 144/55 (-3/1,-1/1).(-2/1,1/0) 0 13 55/21 -2/1 1 39 131/50 -3/2 1 39 76/29 -7/5 1 39 97/37 -12/11 1 39 21/8 0 13 92/35 1/1 1 39 234/89 (-1/1,1/1).(0/1,1/0) 0 1 71/27 0/1 1 39 121/46 1/0 1 39 50/19 1/1 1 39 129/49 0 13 208/79 (1/1,3/1).(2/1,1/0) 0 3 79/30 1/0 1 39 29/11 -4/1 1 39 37/14 1/0 1 39 156/59 (-3/1,-1/1).(-2/1,1/0) 0 1 82/31 -1/1 1 39 45/17 0 13 53/20 1/0 1 39 8/3 -1/1 1 39 78/29 -1/1 9 1 35/13 -4/5 1 39 27/10 0 13 73/27 0/1 1 39 46/17 -1/1 1 39 19/7 -2/7 1 39 68/25 -1/15 1 39 117/43 0/1 23 1 49/18 1/8 1 39 79/29 0/1 1 39 30/11 (-1/1,1/1).(0/1,1/0) 0 13 71/26 1/0 1 39 41/15 0/1 1 39 11/4 -1/2 1 39 47/17 0/1 1 39 83/30 -1/4 1 39 36/13 (-1/3,-1/5).(-1/4,0/1) 0 13 61/22 -1/6 1 39 25/9 0/1 1 39 39/14 0/1 14 1 14/5 1/5 1 39 31/11 0/1 1 39 17/6 1/0 1 39 20/7 1/7 1 39 63/22 0 13 43/15 0/1 1 39 23/8 1/2 1 39 26/9 1/1 1 3 3/1 0 13 22/7 -1/3 1 39 19/6 1/6 1 39 35/11 2/3 1 39 16/5 -1/1 1 39 45/14 0 13 74/23 -1/1 1 39 29/9 -2/1 1 39 13/4 0/1 3 3 49/15 2/11 1 39 85/26 1/4 1 39 121/37 0/1 1 39 36/11 (0/1,1/4).(1/5,1/3) 0 13 23/7 0/1 1 39 79/24 1/2 1 39 56/17 1/3 1 39 234/71 (0/1,1/2).(1/3,1/1) 0 1 89/27 0/1 1 39 33/10 0 13 76/23 7/15 1 39 195/59 1/2 18 1 119/36 1/2 1 39 43/13 2/3 1 39 10/3 -1/1 1 39 57/17 0 13 47/14 1/2 1 39 84/25 (-1/1,1/1).(0/1,1/0) 0 13 37/11 0/1 1 39 27/8 0 13 71/21 0/1 1 39 115/34 1/2 1 39 44/13 1/1 1 39 78/23 (0/1,1/2).(1/3,1/1) 0 1 17/5 0/1 1 39 58/17 7/15 1 39 41/12 1/2 1 39 106/31 1/3 1 39 65/19 1/2 6 3 24/7 (1/2,2/3).(3/5,1/1) 0 13 79/23 2/3 1 39 55/16 3/4 1 39 31/9 0/1 1 39 38/11 1/1 1 39 7/2 1/2 1 39 39/11 1/1 6 1 32/9 1/1 1 39 89/25 4/3 1 39 57/16 0 13 25/7 2/1 1 39 93/26 0 13 161/45 4/5 1 39 390/109 1/1 15 1 68/19 7/5 1 39 43/12 1/0 1 39 104/29 (1/1,3/1).(2/1,1/0) 0 3 61/17 2/1 1 39 79/22 1/0 1 39 18/5 (-1/1,1/1).(0/1,1/0) 0 13 47/13 0/1 1 39 76/21 5/9 1 39 181/50 1/2 1 39 286/79 (1/2,2/3).(3/5,1/1) 0 3 105/29 0 13 29/8 5/6 1 39 69/19 0 13 40/11 1/1 1 39 11/3 2/1 1 39 37/10 1/0 1 39 26/7 (-1/1,1/1).(0/1,1/0) 0 3 41/11 0/1 1 39 97/26 1/8 1 39 56/15 -1/1 1 39 15/4 0 13 79/21 0/1 1 39 64/17 -1/1 1 39 49/13 -2/1 1 39 34/9 1/3 1 39 53/14 1/2 1 39 19/5 4/5 1 39 61/16 3/2 1 39 42/11 (1/1,3/1).(2/1,1/0) 0 13 23/6 1/0 1 39 27/7 0 13 31/8 1/0 1 39 4/1 1/1 1 39 29/7 2/1 1 39 25/6 1/2 1 39 21/5 0 13 59/14 13/14 1 39 156/37 1/1 33 1 38/9 1/1 1 39 17/4 1/0 1 39 47/11 0/1 1 39 124/29 1/3 1 39 77/18 1/2 1 39 30/7 (1/2,2/3).(3/5,1/1) 0 13 13/3 1/1 3 3 48/11 (1/1,9/7).(5/4,4/3) 0 13 83/19 6/5 1 39 118/27 1/1 1 39 35/8 5/4 1 39 92/21 1/1 1 39 57/13 0 13 79/18 3/2 1 39 22/5 5/3 1 39 75/17 0 13 53/12 1/0 1 39 31/7 0/1 1 39 40/9 1/1 1 39 9/2 0 13 50/11 1/1 1 39 41/9 2/1 1 39 155/34 1/0 1 39 114/25 (1/1,3/1).(2/1,1/0) 0 13 73/16 1/0 1 39 32/7 3/1 1 39 78/17 (1/1,3/1).(2/1,1/0) 0 1 23/5 2/1 1 39 37/8 1/0 1 39 51/11 0 13 65/14 1/1 1 3 79/17 2/1 1 39 14/3 3/1 1 39 47/10 1/0 1 39 80/17 -1/5 1 39 33/7 0 13 19/4 7/4 1 39 43/9 4/1 1 39 24/5 (1/1,3/1).(2/1,1/0) 0 13 77/16 1/0 1 39 130/27 (1/1,3/1).(2/1,1/0) 0 3 53/11 2/1 1 39 29/6 7/2 1 39 34/7 7/1 1 39 39/8 1/0 7 1 5/1 0/1 1 39 31/6 1/0 1 39 26/5 (-1/1,1/1).(0/1,1/0) 0 3 47/9 0/1 1 39 21/4 0 13 79/15 0/1 1 39 58/11 1/9 1 39 37/7 0/1 1 39 16/3 1/3 1 39 43/8 3/4 1 39 27/5 0 13 65/12 1/1 1 3 103/19 2/3 1 39 38/7 1/1 1 39 11/2 1/2 1 39 39/7 1/1 7 1 28/5 1/1 1 39 45/8 0 13 62/11 1/1 1 39 141/25 0 13 79/14 3/2 1 39 17/3 2/1 1 39 40/7 1/1 1 39 23/4 3/2 1 39 52/9 1/1 1 3 29/5 8/5 1 39 64/11 5/3 1 39 35/6 7/4 1 39 41/7 2/1 1 39 6/1 (1/1,3/1).(2/1,1/0) 0 13 31/5 0/1 1 39 25/4 1/0 1 39 19/3 10/3 1 39 32/5 5/1 1 39 13/2 1/0 5 3 46/7 -5/1 1 39 79/12 1/0 1 39 33/5 0 13 53/8 1/0 1 39 73/11 -10/3 1 39 93/14 0 13 20/3 -5/3 1 39 27/4 0 13 7/1 0/1 1 39 29/4 -3/2 1 39 22/3 1/3 1 39 15/2 0 13 53/7 0/1 1 39 38/5 1/1 1 39 23/3 0/1 1 39 31/4 3/4 1 39 39/5 1/1 5 1 8/1 1/1 1 39 25/3 2/1 1 39 17/2 1/0 1 39 26/3 (1/1,3/1).(2/1,1/0) 0 3 9/1 0 13 19/2 13/2 1 39 10/1 -5/1 1 39 21/2 0 13 11/1 0/1 1 39 12/1 (-1/1,1/1).(0/1,1/0) 0 13 1/0 1/0 1 39 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(781,-1638,298,-625) (2/1,19/9) -> (76/29,97/37) Glide Reflection Matrix(701,-1482,184,-389) (19/9,17/8) -> (19/5,61/16) Glide Reflection Matrix(623,-1326,257,-547) (17/8,15/7) -> (63/26,17/7) Hyperbolic Matrix(1561,-3354,545,-1171) (15/7,43/20) -> (63/22,43/15) Glide Reflection Matrix(2573,-5538,978,-2105) (43/20,28/13) -> (121/46,50/19) Glide Reflection Matrix(1481,-3198,433,-935) (28/13,13/6) -> (106/31,65/19) Glide Reflection Matrix(859,-1872,251,-547) (13/6,24/11) -> (65/19,24/7) Glide Reflection Matrix(857,-1872,179,-391) (24/11,35/16) -> (43/9,24/5) Hyperbolic Matrix(3277,-7176,1354,-2965) (35/16,46/21) -> (121/50,46/19) Glide Reflection Matrix(2029,-4446,570,-1249) (46/21,11/5) -> (32/9,89/25) Glide Reflection Matrix(389,-858,141,-311) (11/5,31/14) -> (11/4,47/17) Glide Reflection Matrix(1091,-2418,282,-625) (31/14,51/23) -> (27/7,31/8) Hyperbolic Matrix(703,-1560,105,-233) (51/23,20/9) -> (20/3,27/4) Hyperbolic Matrix(701,-1560,315,-701) (20/9,78/35) -> (20/9,78/35) Reflection Matrix(2029,-4524,910,-2029) (78/35,29/13) -> (78/35,29/13) Reflection Matrix(1013,-2262,279,-623) (29/13,9/4) -> (29/8,69/19) Glide Reflection Matrix(311,-702,35,-79) (9/4,52/23) -> (26/3,9/1) Hyperbolic Matrix(2965,-6708,827,-1871) (52/23,43/19) -> (43/12,104/29) Hyperbolic Matrix(7097,-16068,2170,-4913) (43/19,120/53) -> (121/37,36/11) Glide Reflection Matrix(12091,-27378,2652,-6005) (120/53,77/34) -> (155/34,114/25) Hyperbolic Matrix(3511,-7956,1342,-3041) (77/34,34/15) -> (34/13,157/60) Hyperbolic Matrix(1169,-2652,309,-701) (34/15,25/11) -> (34/9,53/14) Glide Reflection Matrix(1405,-3198,583,-1327) (25/11,41/18) -> (53/22,41/17) Glide Reflection Matrix(547,-1248,103,-235) (41/18,16/7) -> (37/7,16/3) Glide Reflection Matrix(545,-1248,238,-545) (16/7,39/17) -> (16/7,39/17) Reflection Matrix(781,-1794,340,-781) (39/17,23/10) -> (39/17,23/10) Reflection Matrix(2575,-5928,983,-2263) (23/10,53/23) -> (55/21,131/50) Glide Reflection Matrix(3587,-8268,541,-1247) (53/23,83/36) -> (53/8,73/11) Glide Reflection Matrix(2807,-6474,643,-1483) (83/36,30/13) -> (48/11,83/19) Hyperbolic Matrix(1013,-2340,371,-857) (30/13,7/3) -> (30/11,71/26) Glide Reflection Matrix(233,-546,67,-157) (7/3,40/17) -> (38/11,7/2) Hyperbolic Matrix(1093,-2574,431,-1015) (40/17,33/14) -> (38/15,33/13) Glide Reflection Matrix(859,-2028,363,-857) (33/14,26/11) -> (26/11,45/19) Parabolic Matrix(625,-1482,132,-313) (45/19,19/8) -> (33/7,19/4) Glide Reflection Matrix(623,-1482,66,-157) (19/8,69/29) -> (9/1,19/2) Hyperbolic Matrix(1639,-3900,361,-859) (69/29,50/21) -> (9/2,50/11) Glide Reflection Matrix(6551,-15600,2751,-6551) (50/21,312/131) -> (50/21,312/131) Reflection Matrix(34321,-81744,14410,-34321) (312/131,131/55) -> (312/131,131/55) Reflection Matrix(5927,-14118,1343,-3199) (131/55,81/34) -> (75/17,53/12) Hyperbolic Matrix(2651,-6318,1015,-2419) (81/34,31/13) -> (47/18,81/31) Hyperbolic Matrix(1013,-2418,261,-623) (31/13,74/31) -> (31/8,4/1) Glide Reflection Matrix(7253,-17316,3038,-7253) (74/31,117/49) -> (74/31,117/49) Reflection Matrix(4213,-10062,1764,-4213) (117/49,43/18) -> (117/49,43/18) Reflection Matrix(1403,-3354,489,-1169) (43/18,55/23) -> (43/15,23/8) Glide Reflection Matrix(3587,-8580,1370,-3277) (55/23,12/5) -> (144/55,55/21) Hyperbolic Matrix(389,-936,32,-77) (12/5,77/32) -> (12/1,1/0) Glide Reflection Matrix(4213,-10140,907,-2183) (77/32,65/27) -> (65/14,79/17) Hyperbolic Matrix(4211,-10140,777,-1871) (65/27,53/22) -> (65/12,103/19) Glide Reflection Matrix(937,-2262,355,-857) (41/17,29/12) -> (29/11,37/14) Hyperbolic Matrix(1871,-4524,323,-781) (29/12,104/43) -> (52/9,29/5) Hyperbolic Matrix(935,-2262,322,-779) (104/43,75/31) -> (26/9,3/1) Glide Reflection Matrix(12637,-30576,4836,-11701) (75/31,196/81) -> (81/31,196/75) Glide Reflection Matrix(8735,-21138,1998,-4835) (196/81,121/50) -> (118/27,35/8) Glide Reflection Matrix(6473,-15678,1514,-3667) (46/19,109/45) -> (47/11,124/29) Hyperbolic Matrix(35099,-85020,14490,-35099) (109/45,390/161) -> (109/45,390/161) Reflection Matrix(27691,-67080,11431,-27691) (390/161,172/71) -> (390/161,172/71) Reflection Matrix(11623,-28158,2061,-4993) (172/71,63/26) -> (62/11,141/25) Glide Reflection Matrix(545,-1326,224,-545) (17/7,39/16) -> (17/7,39/16) Reflection Matrix(703,-1716,288,-703) (39/16,22/9) -> (39/16,22/9) Reflection Matrix(701,-1716,96,-235) (22/9,49/20) -> (29/4,22/3) Hyperbolic Matrix(2419,-5928,668,-1637) (49/20,27/11) -> (105/29,29/8) Hyperbolic Matrix(857,-2106,317,-779) (27/11,5/2) -> (27/10,73/27) Glide Reflection Matrix(1481,-3744,339,-857) (5/2,38/15) -> (83/19,118/27) Glide Reflection Matrix(859,-2184,153,-389) (33/13,28/11) -> (28/5,45/8) Hyperbolic Matrix(2419,-6162,919,-2341) (28/11,51/20) -> (50/19,129/49) Glide Reflection Matrix(703,-1794,183,-467) (51/20,23/9) -> (23/6,27/7) Hyperbolic Matrix(701,-1794,152,-389) (23/9,41/16) -> (23/5,37/8) Glide Reflection Matrix(2495,-6396,669,-1715) (41/16,59/23) -> (41/11,97/26) Glide Reflection Matrix(8969,-23010,3496,-8969) (59/23,195/76) -> (59/23,195/76) Reflection Matrix(20671,-53040,8056,-20671) (195/76,136/53) -> (195/76,136/53) Reflection Matrix(5927,-15210,1125,-2887) (136/53,77/30) -> (79/15,58/11) Hyperbolic Matrix(1093,-2808,304,-781) (77/30,18/7) -> (79/22,18/5) Glide Reflection Matrix(545,-1404,151,-389) (18/7,31/12) -> (18/5,47/13) Glide Reflection Matrix(391,-1014,150,-389) (31/12,13/5) -> (13/5,47/18) Parabolic Matrix(76049,-198744,29100,-76049) (196/75,507/194) -> (196/75,507/194) Reflection Matrix(120667,-315354,46172,-120667) (507/194,311/119) -> (507/194,311/119) Reflection Matrix(11699,-30576,2567,-6709) (311/119,115/44) -> (41/9,155/34) Hyperbolic Matrix(3431,-8970,1014,-2651) (115/44,34/13) -> (115/34,44/13) Glide Reflection Matrix(5693,-14898,864,-2261) (157/60,123/47) -> (79/12,33/5) Glide Reflection Matrix(5305,-13884,1609,-4211) (123/47,89/34) -> (89/27,33/10) Hyperbolic Matrix(1013,-2652,89,-233) (89/34,144/55) -> (11/1,12/1) Glide Reflection Matrix(9049,-23712,2500,-6551) (131/50,76/29) -> (76/21,181/50) Hyperbolic Matrix(1249,-3276,297,-779) (97/37,21/8) -> (21/5,59/14) Hyperbolic Matrix(2731,-7176,623,-1637) (21/8,92/35) -> (92/21,57/13) Hyperbolic Matrix(8189,-21528,3115,-8189) (92/35,234/89) -> (92/35,234/89) Reflection Matrix(12637,-33228,4806,-12637) (234/89,71/27) -> (234/89,71/27) Reflection Matrix(7177,-18876,2195,-5773) (71/27,121/46) -> (85/26,121/37) Glide Reflection Matrix(22309,-58734,6162,-16223) (129/49,208/79) -> (286/79,105/29) Hyperbolic Matrix(9983,-26286,2074,-5461) (208/79,79/30) -> (77/16,130/27) Hyperbolic Matrix(2339,-6162,859,-2263) (79/30,29/11) -> (49/18,79/29) Hyperbolic Matrix(4367,-11544,1652,-4367) (37/14,156/59) -> (37/14,156/59) Reflection Matrix(4837,-12792,1829,-4837) (156/59,82/31) -> (156/59,82/31) Reflection Matrix(2653,-7020,825,-2183) (82/31,45/17) -> (45/14,74/23) Hyperbolic Matrix(1561,-4134,236,-625) (45/17,53/20) -> (33/5,53/8) Glide Reflection Matrix(235,-624,29,-77) (53/20,8/3) -> (8/1,25/3) Hyperbolic Matrix(233,-624,87,-233) (8/3,78/29) -> (8/3,78/29) Reflection Matrix(2029,-5460,754,-2029) (78/29,35/13) -> (78/29,35/13) Reflection Matrix(781,-2106,145,-391) (35/13,27/10) -> (43/8,27/5) Glide Reflection Matrix(2105,-5694,461,-1247) (73/27,46/17) -> (73/16,32/7) Glide Reflection Matrix(547,-1482,86,-233) (46/17,19/7) -> (19/3,32/5) Hyperbolic Matrix(545,-1482,57,-155) (19/7,68/25) -> (19/2,10/1) Glide Reflection Matrix(5849,-15912,2150,-5849) (68/25,117/43) -> (68/25,117/43) Reflection Matrix(4213,-11466,1548,-4213) (117/43,49/18) -> (117/43,49/18) Reflection Matrix(1717,-4680,401,-1093) (79/29,30/11) -> (77/18,30/7) Glide Reflection Matrix(4055,-11076,1199,-3275) (71/26,41/15) -> (71/21,115/34) Glide Reflection Matrix(313,-858,85,-233) (41/15,11/4) -> (11/3,37/10) Hyperbolic Matrix(1015,-2808,197,-545) (47/17,83/30) -> (5/1,31/6) Hyperbolic Matrix(4369,-12090,958,-2651) (83/30,36/13) -> (114/25,73/16) Hyperbolic Matrix(1717,-4758,450,-1247) (36/13,61/22) -> (61/16,42/11) Hyperbolic Matrix(703,-1950,84,-233) (61/22,25/9) -> (25/3,17/2) Hyperbolic Matrix(701,-1950,252,-701) (25/9,39/14) -> (25/9,39/14) Reflection Matrix(391,-1092,140,-391) (39/14,14/5) -> (39/14,14/5) Reflection Matrix(389,-1092,83,-233) (14/5,31/11) -> (14/3,47/10) Glide Reflection Matrix(469,-1326,110,-311) (31/11,17/6) -> (17/4,47/11) Hyperbolic Matrix(467,-1326,137,-389) (17/6,20/7) -> (17/5,58/17) Glide Reflection Matrix(1091,-3120,164,-469) (20/7,63/22) -> (93/14,20/3) Hyperbolic Matrix(623,-1794,108,-311) (23/8,26/9) -> (23/4,52/9) Glide Reflection Matrix(547,-1716,124,-389) (3/1,22/7) -> (22/5,75/17) Hyperbolic Matrix(1015,-3198,272,-857) (22/7,19/6) -> (97/26,56/15) Hyperbolic Matrix(467,-1482,98,-311) (19/6,35/11) -> (19/4,43/9) Glide Reflection Matrix(391,-1248,73,-233) (35/11,16/5) -> (16/3,43/8) Hyperbolic Matrix(1093,-3510,194,-623) (16/5,45/14) -> (45/8,62/11) Hyperbolic Matrix(703,-2262,170,-547) (74/23,29/9) -> (4/1,29/7) Glide Reflection Matrix(313,-1014,96,-311) (29/9,13/4) -> (13/4,49/15) Parabolic Matrix(859,-2808,119,-389) (49/15,85/26) -> (7/1,29/4) Hyperbolic Matrix(547,-1794,143,-469) (36/11,23/7) -> (42/11,23/6) Glide Reflection Matrix(1873,-6162,545,-1793) (23/7,79/24) -> (79/23,55/16) Hyperbolic Matrix(1871,-6162,426,-1403) (79/24,56/17) -> (79/18,22/5) Glide Reflection Matrix(3977,-13104,1207,-3977) (56/17,234/71) -> (56/17,234/71) Reflection Matrix(12637,-41652,3834,-12637) (234/71,89/27) -> (234/71,89/27) Reflection Matrix(1559,-5148,331,-1093) (33/10,76/23) -> (80/17,33/7) Hyperbolic Matrix(8969,-29640,2714,-8969) (76/23,195/59) -> (76/23,195/59) Reflection Matrix(14041,-46410,4248,-14041) (195/59,119/36) -> (195/59,119/36) Reflection Matrix(1793,-5928,307,-1015) (119/36,43/13) -> (35/6,41/7) Hyperbolic Matrix(1013,-3354,283,-937) (43/13,10/3) -> (68/19,43/12) Hyperbolic Matrix(233,-780,23,-77) (10/3,57/17) -> (10/1,21/2) Glide Reflection Matrix(1093,-3666,209,-701) (57/17,47/14) -> (47/9,21/4) Hyperbolic Matrix(859,-2886,139,-467) (47/14,84/25) -> (6/1,31/5) Hyperbolic Matrix(1091,-3666,186,-625) (84/25,37/11) -> (41/7,6/1) Hyperbolic Matrix(857,-2886,185,-623) (37/11,27/8) -> (37/8,51/11) Glide Reflection Matrix(623,-2106,92,-311) (27/8,71/21) -> (27/4,7/1) Glide Reflection Matrix(1013,-3432,299,-1013) (44/13,78/23) -> (44/13,78/23) Reflection Matrix(781,-2652,230,-781) (78/23,17/5) -> (78/23,17/5) Reflection Matrix(1325,-4524,251,-857) (58/17,41/12) -> (58/11,37/7) Glide Reflection Matrix(1871,-6396,411,-1405) (41/12,106/31) -> (50/11,41/9) Hyperbolic Matrix(1091,-3744,227,-779) (24/7,79/23) -> (24/5,77/16) Glide Reflection Matrix(703,-2418,91,-313) (55/16,31/9) -> (23/3,31/4) Glide Reflection Matrix(701,-2418,158,-545) (31/9,38/11) -> (31/7,40/9) Glide Reflection Matrix(155,-546,44,-155) (7/2,39/11) -> (7/2,39/11) Reflection Matrix(703,-2496,198,-703) (39/11,32/9) -> (39/11,32/9) Reflection Matrix(701,-2496,66,-235) (89/25,57/16) -> (21/2,11/1) Hyperbolic Matrix(547,-1950,131,-467) (57/16,25/7) -> (25/6,21/5) Hyperbolic Matrix(1483,-5304,196,-701) (25/7,93/26) -> (15/2,53/7) Hyperbolic Matrix(6083,-21762,916,-3277) (93/26,161/45) -> (73/11,93/14) Hyperbolic Matrix(35099,-125580,9810,-35099) (161/45,390/109) -> (161/45,390/109) Reflection Matrix(7411,-26520,2071,-7411) (390/109,68/19) -> (390/109,68/19) Reflection Matrix(935,-3354,109,-391) (104/29,61/17) -> (17/2,26/3) Hyperbolic Matrix(1717,-6162,304,-1091) (61/17,79/22) -> (79/14,17/3) Hyperbolic Matrix(2027,-7332,431,-1559) (47/13,76/21) -> (47/10,80/17) Glide Reflection Matrix(10687,-38688,2219,-8033) (181/50,286/79) -> (130/27,53/11) Hyperbolic Matrix(859,-3120,193,-701) (69/19,40/11) -> (40/9,9/2) Hyperbolic Matrix(235,-858,43,-157) (40/11,11/3) -> (38/7,11/2) Glide Reflection Matrix(547,-2028,147,-545) (37/10,26/7) -> (26/7,41/11) Parabolic Matrix(313,-1170,42,-157) (56/15,15/4) -> (22/3,15/2) Glide Reflection Matrix(3277,-12324,581,-2185) (15/4,79/21) -> (141/25,79/14) Glide Reflection Matrix(1637,-6162,352,-1325) (79/21,64/17) -> (79/17,14/3) Glide Reflection Matrix(1325,-4992,228,-859) (64/17,49/13) -> (29/5,64/11) Hyperbolic Matrix(703,-2652,145,-547) (49/13,34/9) -> (29/6,34/7) Glide Reflection Matrix(391,-1482,62,-235) (53/14,19/5) -> (25/4,19/3) Glide Reflection Matrix(545,-2262,113,-469) (29/7,25/6) -> (53/11,29/6) Hyperbolic Matrix(4367,-18408,1036,-4367) (59/14,156/37) -> (59/14,156/37) Reflection Matrix(1405,-5928,333,-1405) (156/37,38/9) -> (156/37,38/9) Reflection Matrix(313,-1326,55,-233) (38/9,17/4) -> (17/3,40/7) Hyperbolic Matrix(3119,-13338,474,-2027) (124/29,77/18) -> (46/7,79/12) Glide Reflection Matrix(235,-1014,54,-233) (30/7,13/3) -> (13/3,48/11) Parabolic Matrix(1247,-5460,214,-937) (35/8,92/21) -> (64/11,35/6) Hyperbolic Matrix(1405,-6162,267,-1171) (57/13,79/18) -> (21/4,79/15) Glide Reflection Matrix(547,-2418,88,-389) (53/12,31/7) -> (31/5,25/4) Hyperbolic Matrix(545,-2496,119,-545) (32/7,78/17) -> (32/7,78/17) Reflection Matrix(781,-3588,170,-781) (78/17,23/5) -> (78/17,23/5) Reflection Matrix(1093,-5070,202,-937) (51/11,65/14) -> (27/5,65/12) Glide Reflection Matrix(545,-2652,112,-545) (34/7,39/8) -> (34/7,39/8) Reflection Matrix(79,-390,16,-79) (39/8,5/1) -> (39/8,5/1) Reflection Matrix(391,-2028,75,-389) (31/6,26/5) -> (26/5,47/9) Parabolic Matrix(1093,-5928,144,-781) (103/19,38/7) -> (53/7,38/5) Glide Reflection Matrix(155,-858,28,-155) (11/2,39/7) -> (11/2,39/7) Reflection Matrix(391,-2184,70,-391) (39/7,28/5) -> (39/7,28/5) Reflection Matrix(313,-1794,41,-235) (40/7,23/4) -> (38/5,23/3) Glide Reflection Matrix(157,-1014,24,-155) (32/5,13/2) -> (13/2,46/7) Parabolic Matrix(311,-2418,40,-311) (31/4,39/5) -> (31/4,39/5) Reflection Matrix(79,-624,10,-79) (39/5,8/1) -> (39/5,8/1) 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(0,1,1,0) (0/1,2/1) -> (-1/1,1/1) Matrix(781,-1638,298,-625) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(701,-1482,184,-389) -> Matrix(5,4,4,3) Matrix(623,-1326,257,-547) -> Matrix(2,1,-9,-4) -1/3 Matrix(1561,-3354,545,-1171) -> Matrix(4,1,9,2) Matrix(2573,-5538,978,-2105) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(1481,-3198,433,-935) -> Matrix(6,1,13,2) Matrix(859,-1872,251,-547) -> Matrix(6,-1,11,-2) Matrix(857,-1872,179,-391) -> Matrix(6,-1,1,0) Matrix(3277,-7176,1354,-2965) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2029,-4446,570,-1249) -> Matrix(11,-4,8,-3) Matrix(389,-858,141,-311) -> Matrix(2,-1,-5,2) Matrix(1091,-2418,282,-625) -> Matrix(3,-2,2,-1) 1/1 Matrix(703,-1560,105,-233) -> Matrix(2,-1,-3,2) Matrix(701,-1560,315,-701) -> Matrix(8,-7,9,-8) (20/9,78/35) -> (7/9,1/1) Matrix(2029,-4524,910,-2029) -> Matrix(19,-20,18,-19) (78/35,29/13) -> (1/1,10/9) Matrix(1013,-2262,279,-623) -> Matrix(4,-5,3,-4) *** -> (1/1,5/3) Matrix(311,-702,35,-79) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(2965,-6708,827,-1871) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(7097,-16068,2170,-4913) -> Matrix(1,-2,4,-9) Matrix(12091,-27378,2652,-6005) -> Matrix(1,0,0,1) Matrix(3511,-7956,1342,-3041) -> Matrix(1,-4,0,1) 1/0 Matrix(1169,-2652,309,-701) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(1405,-3198,583,-1327) -> Matrix(0,1,1,-6) Matrix(547,-1248,103,-235) -> Matrix(0,1,1,-2) Matrix(545,-1248,238,-545) -> Matrix(-1,10,0,1) (16/7,39/17) -> (5/1,1/0) Matrix(781,-1794,340,-781) -> Matrix(1,14,0,-1) (39/17,23/10) -> (-7/1,1/0) Matrix(2575,-5928,983,-2263) -> Matrix(2,11,-1,-6) Matrix(3587,-8268,541,-1247) -> Matrix(4,15,-1,-4) *** -> (-5/1,-3/1) Matrix(2807,-6474,643,-1483) -> Matrix(4,13,3,10) Matrix(1013,-2340,371,-857) -> Matrix(0,1,1,2) Matrix(233,-546,67,-157) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(1093,-2574,431,-1015) -> Matrix(0,1,1,2) Matrix(859,-2028,363,-857) -> Matrix(6,7,-7,-8) -1/1 Matrix(625,-1482,132,-313) -> Matrix(5,4,4,3) Matrix(623,-1482,66,-157) -> Matrix(9,4,2,1) Matrix(1639,-3900,361,-859) -> Matrix(4,1,1,0) Matrix(6551,-15600,2751,-6551) -> Matrix(2,1,-3,-2) (50/21,312/131) -> (-1/1,-1/3) Matrix(34321,-81744,14410,-34321) -> Matrix(-1,0,4,1) (312/131,131/55) -> (-1/2,0/1) Matrix(5927,-14118,1343,-3199) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(2651,-6318,1015,-2419) -> Matrix(4,1,-1,0) Matrix(1013,-2418,261,-623) -> Matrix(2,1,1,0) Matrix(7253,-17316,3038,-7253) -> Matrix(3,2,-4,-3) (74/31,117/49) -> (-1/1,-1/2) Matrix(4213,-10062,1764,-4213) -> Matrix(-1,0,4,1) (117/49,43/18) -> (-1/2,0/1) Matrix(1403,-3354,489,-1169) -> Matrix(2,1,5,2) Matrix(3587,-8580,1370,-3277) -> Matrix(3,2,-2,-1) -1/1 Matrix(389,-936,32,-77) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(4213,-10140,907,-2183) -> Matrix(8,3,5,2) Matrix(4211,-10140,777,-1871) -> Matrix(2,1,5,2) Matrix(937,-2262,355,-857) -> Matrix(4,1,-1,0) Matrix(1871,-4524,323,-781) -> Matrix(8,3,5,2) Matrix(935,-2262,322,-779) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(12637,-30576,4836,-11701) -> Matrix(5,2,-2,-1) Matrix(8735,-21138,1998,-4835) -> Matrix(13,4,10,3) Matrix(6473,-15678,1514,-3667) -> Matrix(1,0,6,1) 0/1 Matrix(35099,-85020,14490,-35099) -> Matrix(-1,0,8,1) (109/45,390/161) -> (-1/4,0/1) Matrix(27691,-67080,11431,-27691) -> Matrix(4,1,-15,-4) (390/161,172/71) -> (-1/3,-1/5) Matrix(11623,-28158,2061,-4993) -> Matrix(16,3,11,2) Matrix(545,-1326,224,-545) -> Matrix(-1,0,14,1) (17/7,39/16) -> (-1/7,0/1) Matrix(703,-1716,288,-703) -> Matrix(1,0,18,-1) (39/16,22/9) -> (0/1,1/9) Matrix(701,-1716,96,-235) -> Matrix(1,0,-6,1) 0/1 Matrix(2419,-5928,668,-1637) -> Matrix(9,-2,14,-3) Matrix(857,-2106,317,-779) -> Matrix(2,-1,-5,2) Matrix(1481,-3744,339,-857) -> Matrix(4,-5,3,-4) *** -> (1/1,5/3) Matrix(859,-2184,153,-389) -> Matrix(4,-3,3,-2) 1/1 Matrix(2419,-6162,919,-2341) -> Matrix(2,-3,1,-2) *** -> (1/1,3/1) Matrix(703,-1794,183,-467) -> Matrix(0,1,-1,2) 1/1 Matrix(701,-1794,152,-389) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(2495,-6396,669,-1715) -> Matrix(0,1,1,-2) Matrix(8969,-23010,3496,-8969) -> Matrix(-1,20,0,1) (59/23,195/76) -> (10/1,1/0) Matrix(20671,-53040,8056,-20671) -> Matrix(1,42,0,-1) (195/76,136/53) -> (-21/1,1/0) Matrix(5927,-15210,1125,-2887) -> Matrix(0,-1,1,12) Matrix(1093,-2808,304,-781) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(545,-1404,151,-389) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(391,-1014,150,-389) -> Matrix(1,-4,0,1) 1/0 Matrix(76049,-198744,29100,-76049) -> Matrix(1,2,0,-1) (196/75,507/194) -> (-1/1,1/0) Matrix(120667,-315354,46172,-120667) -> Matrix(-1,0,2,1) (507/194,311/119) -> (-1/1,0/1) Matrix(11699,-30576,2567,-6709) -> Matrix(2,-1,1,0) 1/1 Matrix(3431,-8970,1014,-2651) -> Matrix(1,2,2,3) Matrix(5693,-14898,864,-2261) -> Matrix(1,6,0,-1) *** -> (-3/1,1/0) Matrix(5305,-13884,1609,-4211) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(1013,-2652,89,-233) -> Matrix(0,1,1,2) Matrix(9049,-23712,2500,-6551) -> Matrix(5,8,8,13) Matrix(1249,-3276,297,-779) -> Matrix(2,1,3,2) Matrix(2731,-7176,623,-1637) -> Matrix(4,-3,3,-2) 1/1 Matrix(8189,-21528,3115,-8189) -> Matrix(0,1,1,0) (92/35,234/89) -> (-1/1,1/1) Matrix(12637,-33228,4806,-12637) -> Matrix(1,0,0,-1) (234/89,71/27) -> (0/1,1/0) Matrix(7177,-18876,2195,-5773) -> Matrix(0,1,1,4) Matrix(22309,-58734,6162,-16223) -> Matrix(1,-4,2,-7) Matrix(9983,-26286,2074,-5461) -> Matrix(1,0,0,1) Matrix(2339,-6162,859,-2263) -> Matrix(0,1,-1,4) Matrix(4367,-11544,1652,-4367) -> Matrix(1,4,0,-1) (37/14,156/59) -> (-2/1,1/0) Matrix(4837,-12792,1829,-4837) -> Matrix(2,3,-1,-2) (156/59,82/31) -> (-3/1,-1/1) Matrix(2653,-7020,825,-2183) -> Matrix(0,-1,1,2) -1/1 Matrix(1561,-4134,236,-625) -> Matrix(1,4,0,-1) *** -> (-2/1,1/0) Matrix(235,-624,29,-77) -> Matrix(2,3,1,2) Matrix(233,-624,87,-233) -> Matrix(0,1,1,0) (8/3,78/29) -> (-1/1,1/1) Matrix(2029,-5460,754,-2029) -> Matrix(9,8,-10,-9) (78/29,35/13) -> (-1/1,-4/5) Matrix(781,-2106,145,-391) -> Matrix(2,1,1,0) Matrix(2105,-5694,461,-1247) -> Matrix(4,1,1,0) Matrix(547,-1482,86,-233) -> Matrix(9,4,2,1) Matrix(545,-1482,57,-155) -> Matrix(10,1,1,0) Matrix(5849,-15912,2150,-5849) -> Matrix(-1,0,30,1) (68/25,117/43) -> (-1/15,0/1) Matrix(4213,-11466,1548,-4213) -> Matrix(1,0,16,-1) (117/43,49/18) -> (0/1,1/8) Matrix(1717,-4680,401,-1093) -> Matrix(2,-1,3,-2) *** -> (1/3,1/1) Matrix(4055,-11076,1199,-3275) -> Matrix(0,1,1,2) Matrix(313,-858,85,-233) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(1015,-2808,197,-545) -> Matrix(4,1,-1,0) Matrix(4369,-12090,958,-2651) -> Matrix(9,2,4,1) Matrix(1717,-4758,450,-1247) -> Matrix(9,2,4,1) Matrix(703,-1950,84,-233) -> Matrix(13,2,6,1) Matrix(701,-1950,252,-701) -> Matrix(-1,0,18,1) (25/9,39/14) -> (-1/9,0/1) Matrix(391,-1092,140,-391) -> Matrix(1,0,10,-1) (39/14,14/5) -> (0/1,1/5) Matrix(389,-1092,83,-233) -> Matrix(-2,1,1,0) Matrix(469,-1326,110,-311) -> Matrix(1,0,0,1) Matrix(467,-1326,137,-389) -> Matrix(0,1,1,2) Matrix(1091,-3120,164,-469) -> Matrix(9,-2,-4,1) Matrix(623,-1794,108,-311) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(547,-1716,124,-389) -> Matrix(1,2,0,1) 1/0 Matrix(1015,-3198,272,-857) -> Matrix(1,0,2,1) 0/1 Matrix(467,-1482,98,-311) -> Matrix(5,-2,2,-1) Matrix(391,-1248,73,-233) -> Matrix(0,1,-1,2) 1/1 Matrix(1093,-3510,194,-623) -> Matrix(3,4,2,3) Matrix(703,-2262,170,-547) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(313,-1014,96,-311) -> Matrix(1,0,6,1) 0/1 Matrix(859,-2808,119,-389) -> Matrix(4,-1,1,0) Matrix(547,-1794,143,-469) -> Matrix(-2,1,1,0) Matrix(1873,-6162,545,-1793) -> Matrix(8,-3,11,-4) Matrix(1871,-6162,426,-1403) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(3977,-13104,1207,-3977) -> Matrix(2,-1,3,-2) (56/17,234/71) -> (1/3,1/1) Matrix(12637,-41652,3834,-12637) -> Matrix(1,0,4,-1) (234/71,89/27) -> (0/1,1/2) Matrix(1559,-5148,331,-1093) -> Matrix(2,-1,5,-2) (0/1,1/2).(1/3,1/1) Matrix(8969,-29640,2714,-8969) -> Matrix(29,-14,60,-29) (76/23,195/59) -> (7/15,1/2) Matrix(14041,-46410,4248,-14041) -> Matrix(43,-22,84,-43) (195/59,119/36) -> (1/2,11/21) Matrix(1793,-5928,307,-1015) -> Matrix(20,-11,11,-6) Matrix(1013,-3354,283,-937) -> Matrix(4,-3,3,-2) 1/1 Matrix(233,-780,23,-77) -> Matrix(-4,1,1,0) Matrix(1093,-3666,209,-701) -> Matrix(2,-1,1,0) 1/1 Matrix(859,-2886,139,-467) -> Matrix(2,-1,1,0) 1/1 Matrix(1091,-3666,186,-625) -> Matrix(1,2,0,1) 1/0 Matrix(857,-2886,185,-623) -> Matrix(-2,1,1,0) Matrix(623,-2106,92,-311) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1013,-3432,299,-1013) -> Matrix(2,-1,3,-2) (44/13,78/23) -> (1/3,1/1) Matrix(781,-2652,230,-781) -> Matrix(1,0,4,-1) (78/23,17/5) -> (0/1,1/2) Matrix(1325,-4524,251,-857) -> Matrix(2,-1,3,-2) *** -> (1/3,1/1) Matrix(1871,-6396,411,-1405) -> Matrix(4,-1,1,0) Matrix(1091,-3744,227,-779) -> Matrix(8,-5,3,-2) Matrix(703,-2418,91,-313) -> Matrix(4,-3,5,-4) *** -> (3/5,1/1) Matrix(701,-2418,158,-545) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(155,-546,44,-155) -> Matrix(3,-2,4,-3) (7/2,39/11) -> (1/2,1/1) Matrix(703,-2496,198,-703) -> Matrix(9,-10,8,-9) (39/11,32/9) -> (1/1,5/4) Matrix(701,-2496,66,-235) -> Matrix(3,-4,-2,3) Matrix(547,-1950,131,-467) -> Matrix(2,-3,3,-4) 1/1 Matrix(1483,-5304,196,-701) -> Matrix(1,-2,2,-3) 1/1 Matrix(6083,-21762,916,-3277) -> Matrix(5,-2,-2,1) Matrix(35099,-125580,9810,-35099) -> Matrix(9,-8,10,-9) (161/45,390/109) -> (4/5,1/1) Matrix(7411,-26520,2071,-7411) -> Matrix(6,-7,5,-6) (390/109,68/19) -> (1/1,7/5) Matrix(935,-3354,109,-391) -> Matrix(2,-5,1,-2) (1/1,3/1).(2/1,1/0) Matrix(1717,-6162,304,-1091) -> Matrix(3,-8,2,-5) 2/1 Matrix(2027,-7332,431,-1559) -> Matrix(-2,1,1,0) Matrix(10687,-38688,2219,-8033) -> Matrix(4,-3,3,-2) 1/1 Matrix(859,-3120,193,-701) -> Matrix(0,1,-1,2) 1/1 Matrix(235,-858,43,-157) -> Matrix(0,1,1,0) *** -> (-1/1,1/1) Matrix(547,-2028,147,-545) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(313,-1170,42,-157) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(3277,-12324,581,-2185) -> Matrix(4,3,3,2) Matrix(1637,-6162,352,-1325) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1325,-4992,228,-859) -> Matrix(3,-2,2,-1) 1/1 Matrix(703,-2652,145,-547) -> Matrix(4,1,1,0) Matrix(391,-1482,62,-235) -> Matrix(5,-2,2,-1) Matrix(545,-2262,113,-469) -> Matrix(4,-1,1,0) Matrix(4367,-18408,1036,-4367) -> Matrix(27,-26,28,-27) (59/14,156/37) -> (13/14,1/1) Matrix(1405,-5928,333,-1405) -> Matrix(6,-7,5,-6) (156/37,38/9) -> (1/1,7/5) Matrix(313,-1326,55,-233) -> Matrix(2,-1,1,0) 1/1 Matrix(3119,-13338,474,-2027) -> Matrix(7,-4,-2,1) Matrix(235,-1014,54,-233) -> Matrix(7,-6,6,-5) 1/1 Matrix(1247,-5460,214,-937) -> Matrix(13,-18,8,-11) 3/2 Matrix(1405,-6162,267,-1171) -> Matrix(2,-3,-7,10) Matrix(547,-2418,88,-389) -> Matrix(1,0,0,1) Matrix(545,-2496,119,-545) -> Matrix(2,-3,1,-2) (32/7,78/17) -> (1/1,3/1) Matrix(781,-3588,170,-781) -> Matrix(-1,4,0,1) (78/17,23/5) -> (2/1,1/0) Matrix(1093,-5070,202,-937) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(545,-2652,112,-545) -> Matrix(-1,14,0,1) (34/7,39/8) -> (7/1,1/0) Matrix(79,-390,16,-79) -> Matrix(1,0,0,-1) (39/8,5/1) -> (0/1,1/0) Matrix(391,-2028,75,-389) -> Matrix(0,-1,1,0) (-1/1,1/1).(0/1,1/0) Matrix(1093,-5928,144,-781) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(155,-858,28,-155) -> Matrix(3,-2,4,-3) (11/2,39/7) -> (1/2,1/1) Matrix(391,-2184,70,-391) -> Matrix(11,-12,10,-11) (39/7,28/5) -> (1/1,6/5) Matrix(313,-1794,41,-235) -> Matrix(2,-3,1,-2) *** -> (1/1,3/1) Matrix(157,-1014,24,-155) -> Matrix(1,-10,0,1) 1/0 Matrix(311,-2418,40,-311) -> Matrix(7,-6,8,-7) (31/4,39/5) -> (3/4,1/1) Matrix(79,-624,10,-79) -> Matrix(3,-4,2,-3) (39/5,8/1) -> (1/1,2/1) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.