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): 3456 Minimal number of generators: 577 Number of equivalence classes of cusps: 144 Genus: 217 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -15/2 -7/1 -20/3 -28/5 -21/4 -5/1 -14/3 -40/9 -56/13 -30/7 -21/5 -15/4 -7/2 -10/3 -25/8 -14/5 -25/9 -21/8 -28/11 -5/2 -7/3 -20/9 -28/13 -15/7 -7/4 -5/3 -21/13 -175/123 -7/5 -15/11 -21/16 -175/138 -5/4 -21/17 -35/29 -7/6 0/1 1/1 7/6 21/17 5/4 35/27 21/16 15/11 7/5 105/74 35/24 3/2 35/22 21/13 5/3 105/61 7/4 105/58 35/19 2/1 15/7 28/13 35/16 20/9 140/61 7/3 245/104 490/207 105/44 70/29 5/2 28/11 31/12 70/27 175/67 490/187 21/8 140/53 35/13 25/9 14/5 3/1 25/8 35/11 105/32 10/3 175/52 105/31 7/2 245/69 25/7 140/39 18/5 70/19 15/4 140/37 4/1 25/6 21/5 30/7 56/13 13/3 35/8 31/7 40/9 9/2 105/23 37/8 14/3 175/37 24/5 5/1 26/5 21/4 16/3 70/13 27/5 11/2 28/5 17/3 23/4 35/6 6/1 25/4 19/3 70/11 32/5 13/2 33/5 20/3 27/4 34/5 7/1 29/4 22/3 15/2 23/3 8/1 25/3 17/2 9/1 19/2 29/3 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -11/1 -1/2 0/1 -10/1 -1/1 1/1 -19/2 3/2 -9/1 4/1 1/0 -17/2 1/0 -8/1 -3/1 -2/1 -23/3 0/1 1/0 -15/2 -2/1 -22/3 -3/2 -1/1 -29/4 -3/2 -7/1 -1/1 -27/4 -1/2 -20/3 -1/1 -1/3 -33/5 -1/4 0/1 -13/2 1/2 -32/5 0/1 1/1 -19/3 0/1 1/0 -6/1 1/1 1/0 -23/4 1/0 -17/3 -2/1 1/0 -45/8 -2/1 -73/13 0/1 1/0 -28/5 -3/1 -1/1 -11/2 1/0 -38/7 -2/1 -1/1 -27/5 -2/1 1/0 -16/3 -3/1 -2/1 -37/7 -2/1 1/0 -58/11 -3/1 -5/2 -21/4 -2/1 -47/9 -2/1 -7/4 -26/5 -3/2 -1/1 -5/1 -1/1 -24/5 -1/3 0/1 -19/4 1/0 -52/11 -1/1 -1/2 -85/18 0/1 -33/7 -1/4 0/1 -14/3 -1/1 1/1 -37/8 1/0 -23/5 -4/1 1/0 -55/12 -2/1 -32/7 -4/3 -1/1 -9/2 1/0 -40/9 -1/1 1/1 -31/7 0/1 1/0 -22/5 1/1 1/0 -35/8 1/0 -13/3 -2/1 1/0 -56/13 -3/1 -1/1 -43/10 -3/2 -30/7 -3/1 -1/1 -17/4 1/0 -38/9 -2/1 -5/3 -59/14 -3/2 -21/5 -1/1 -46/11 -1/1 0/1 -25/6 1/0 -4/1 -2/1 -1/1 -27/7 -7/8 -6/7 -23/6 -3/4 -19/5 -2/3 -1/2 -53/14 -1/2 -34/9 -1/1 -1/2 -15/4 -1/2 -71/19 -1/2 0/1 -56/15 -1/1 -1/3 -97/26 -1/4 -41/11 0/1 1/0 -67/18 -5/6 -26/7 -3/5 -1/2 -37/10 -1/2 -48/13 -1/2 -1/3 -11/3 -1/2 0/1 -29/8 -3/2 -18/5 -1/2 -1/3 -61/17 -1/2 0/1 -43/12 -1/2 -111/31 -1/6 0/1 -68/19 0/1 1/5 -93/26 1/0 -25/7 -1/1 -82/23 -5/9 -1/2 -139/39 -1/2 -2/5 -57/16 -1/4 -32/9 -1/3 0/1 -7/2 0/1 -38/11 -1/1 0/1 -69/20 1/0 -31/9 0/1 1/0 -55/16 1/0 -79/23 2/1 1/0 -24/7 -1/1 0/1 -17/5 -2/1 1/0 -61/18 -5/4 -105/31 -1/1 -44/13 -1/1 -3/4 -71/21 -4/7 -1/2 -98/29 -1/1 -1/3 -27/8 -1/2 -64/19 -1/4 -1/5 -37/11 0/1 1/6 -10/3 -1/1 1/1 -33/10 1/0 -23/7 4/1 1/0 -13/4 1/0 -42/13 -5/3 -1/1 -29/9 -3/2 -4/3 -16/5 -6/5 -1/1 -35/11 -1/1 -19/6 -7/8 -41/13 -4/5 -3/4 -22/7 -1/1 -3/4 -25/8 -2/3 -3/1 -1/2 0/1 -23/8 1/2 -20/7 -1/1 1/1 -37/13 0/1 1/2 -54/19 0/1 1/1 -17/6 1/0 -31/11 0/1 1/0 -14/5 -1/1 1/1 -39/14 -1/2 -142/51 -1/19 0/1 -245/88 0/1 -103/37 0/1 1/14 -64/23 1/4 1/3 -25/9 1/1 -36/13 3/1 1/0 -11/4 1/0 -30/11 -3/1 -1/1 -79/29 -8/3 -5/2 -128/47 -5/2 -7/3 -49/18 -2/1 -117/43 -2/1 -3/2 -68/25 -2/1 -1/1 -19/7 -2/1 -3/2 -46/17 -4/3 -9/7 -73/27 -4/3 -5/4 -100/37 -11/9 -1/1 -27/10 -7/6 -35/13 -1/1 -8/3 -1/1 -2/3 -45/17 -1/1 -82/31 -1/2 -3/7 -37/14 -1/2 -66/25 -1/1 0/1 -29/11 -1/2 0/1 -50/19 -1/1 -3/5 -71/27 -4/7 -1/2 -21/8 -1/2 -76/29 -1/2 -3/7 -207/79 -1/2 -2/5 -131/50 -1/2 -55/21 -1/3 -34/13 -1/1 -1/2 -13/5 -1/2 0/1 -44/17 -1/1 -1/2 -75/29 -1/1 -106/41 -7/13 -1/2 -31/12 -1/4 -142/55 0/1 1/13 -111/43 0/1 1/2 -191/74 3/2 -80/31 -1/1 1/1 -129/50 1/0 -49/19 -1/1 -67/26 -1/2 -85/33 -3/5 -18/7 -1/2 -3/7 -41/16 -5/14 -23/9 -1/4 0/1 -28/11 -1/3 -1/5 -61/24 -1/6 -33/13 -1/4 0/1 -5/2 0/1 -37/15 0/1 1/2 -69/28 1/2 -32/13 0/1 1/1 -27/11 0/1 1/2 -49/20 1/2 -71/29 0/1 1/2 -93/38 1/2 -22/9 3/4 1/1 -39/16 3/2 -17/7 -2/1 1/0 -46/19 -1/1 0/1 -75/31 1/1 -104/43 -5/1 1/0 -29/12 1/0 -12/5 -1/1 1/0 -79/33 2/1 1/0 -67/28 1/0 -55/23 -1/1 -43/18 1/0 -74/31 -1/1 0/1 -105/44 0/1 -31/13 0/1 1/0 -50/21 -1/1 1/1 -69/29 -2/1 1/0 -157/66 -3/2 -245/103 -1/1 -88/37 -1/1 -1/2 -19/8 1/0 -45/19 1/1 -116/49 2/1 3/1 -187/79 2/1 1/0 -71/30 1/0 -26/11 -3/1 1/0 -33/14 1/0 -7/3 -1/1 -37/16 -1/2 -104/45 -1/2 -13/27 -67/29 -1/2 -2/5 -30/13 -1/1 -1/3 -23/10 -1/2 -62/27 -1/1 0/1 -39/17 -1/2 0/1 -55/24 -1/2 -71/31 -1/2 0/1 -87/38 -1/4 -16/7 -1/3 0/1 -41/18 -1/2 -66/29 -1/1 0/1 -25/11 -1/1 -34/15 -1/2 -1/3 -43/19 -1/4 0/1 -9/4 -1/2 -38/17 -4/11 -1/3 -105/47 -1/3 -67/30 -7/22 -29/13 -2/7 -1/4 -20/9 -1/3 -1/5 -31/14 -3/16 -11/5 -1/10 0/1 -35/16 0/1 -24/11 0/1 1/19 -61/28 1/12 -37/17 0/1 1/10 -13/6 1/4 -28/13 1/3 1/1 -43/20 1/2 -15/7 1/1 -17/8 1/0 -19/9 0/1 1/0 -2/1 -1/1 0/1 -17/9 0/1 1/2 -15/8 0/1 -28/15 1/3 1/1 -13/7 0/1 1/2 -37/20 1/2 -61/33 1/2 4/7 -24/13 2/3 1/1 -35/19 1/1 -11/6 1/0 -42/23 -1/1 1/1 -73/40 1/0 -31/17 0/1 1/0 -20/11 -1/1 1/1 -29/16 -1/2 -9/5 0/1 1/0 -43/24 1/0 -77/43 1/1 -111/62 1/0 -34/19 -3/1 1/0 -25/14 1/0 -66/37 -1/1 0/1 -41/23 0/1 1/0 -16/9 -1/1 -2/3 -71/40 -1/2 -55/31 -1/3 -39/22 -1/2 -140/79 -1/1 -1/3 -101/57 -1/2 0/1 -62/35 -1/1 0/1 -23/13 -1/2 -2/5 -30/17 -1/3 -1/5 -7/4 0/1 -40/23 1/7 1/5 -73/42 1/6 -106/61 1/6 1/5 -245/141 1/5 -139/80 1/4 -33/19 0/1 1/4 -26/15 1/6 1/5 -71/41 1/4 2/7 -187/108 1/4 -490/283 1/5 1/3 -303/175 0/1 1/4 -116/67 0/1 1/5 -45/26 1/4 -64/37 1/5 1/4 -19/11 0/1 1/4 -69/40 1/4 -50/29 3/11 1/3 -31/18 5/16 -105/61 1/3 -74/43 1/3 12/35 -43/25 4/11 3/8 -98/57 1/3 5/13 -55/32 2/5 -67/39 2/5 1/2 -12/7 1/2 1/1 -41/24 1/2 -70/41 1/3 1/1 -29/17 0/1 1/2 -17/10 1/2 -39/23 0/1 1/2 -22/13 1/2 1/1 -49/29 1/1 -27/16 1/2 -32/19 1/3 2/5 -5/3 1/1 -38/23 3/1 4/1 -33/20 1/0 -61/37 2/1 1/0 -28/17 -1/1 1/1 -79/48 1/2 -51/31 0/1 1/2 -23/14 1/0 -18/11 -1/1 1/0 -85/52 0/1 -67/41 0/1 1/0 -116/71 0/1 1/1 -49/30 0/1 -129/79 0/1 1/2 -80/49 -1/1 1/1 -111/68 1/0 -31/19 0/1 1/0 -137/84 1/0 -106/65 1/1 1/0 -75/46 1/0 -44/27 1/1 1/0 -57/35 0/1 1/0 -70/43 -1/1 1/1 -13/8 1/0 -47/29 6/1 1/0 -175/108 1/0 -128/79 -17/1 1/0 -81/50 1/0 -34/21 -1/1 1/0 -55/34 1/0 -131/81 -4/1 1/0 -207/128 1/0 -490/303 -3/1 -1/1 -283/175 -2/1 1/0 -76/47 -3/1 1/0 -97/60 -3/2 -21/13 -1/1 -92/57 -1/1 -1/2 -163/101 -2/3 -1/2 -71/44 -1/2 -50/31 -1/1 -1/3 -29/18 1/0 -66/41 -1/1 0/1 -103/64 -1/2 -140/87 -1/1 -1/3 -37/23 -1/2 0/1 -82/51 -1/1 1/0 -45/28 0/1 -8/5 -1/3 0/1 -35/22 0/1 -27/17 0/1 1/14 -73/46 1/10 -119/75 1/9 -46/29 0/1 1/9 -19/12 1/6 -68/43 0/1 1/1 -117/74 1/6 -49/31 1/5 -128/81 1/4 3/11 -207/131 0/1 1/4 -79/50 1/4 -30/19 1/5 1/3 -71/45 1/4 6/23 -41/26 3/10 -11/7 0/1 1/2 -36/23 3/7 1/2 -25/16 1/2 -64/41 1/2 1/1 -39/25 0/1 1/2 -14/9 1/3 1/1 -31/20 1/4 -17/11 4/9 1/2 -37/24 1/2 -20/13 3/5 1/1 -23/15 1/2 2/3 -26/17 5/7 3/4 -3/2 1/0 -25/17 -1/1 -47/32 1/0 -22/15 -1/1 -1/2 -41/28 -1/2 -19/13 -1/4 0/1 -35/24 0/1 -16/11 0/1 1/5 -29/20 1/4 -71/49 1/2 4/7 -42/29 1/3 1/1 -13/9 0/1 1/2 -36/25 1/3 1/2 -59/41 1/2 2/3 -141/98 3/4 -82/57 5/6 1/1 -105/73 1/1 -23/16 1/0 -33/23 -1/4 0/1 -10/7 1/3 1/1 -37/26 1/2 -175/123 1/1 -138/97 0/1 1/1 -101/71 0/1 1/2 -64/45 1/2 1/1 -91/64 1/2 -27/19 0/1 1/2 -98/69 1/3 3/7 -71/50 1/2 -44/31 7/15 1/2 -105/74 1/2 -61/43 1/2 12/23 -17/12 1/2 -41/29 1/2 2/3 -24/17 7/11 2/3 -79/56 7/10 -55/39 5/7 -31/22 3/4 -7/5 1/1 -39/28 3/2 -71/51 28/19 3/2 -245/176 3/2 -174/125 3/2 65/43 -103/74 3/2 -32/23 5/3 2/1 -57/41 3/2 2/1 -139/100 3/2 -82/59 5/3 7/4 -25/18 2/1 -118/85 3/1 1/0 -93/67 2/1 1/0 -68/49 2/1 3/1 -179/129 2/1 1/0 -111/80 1/0 -43/31 2/1 5/2 -61/44 1/0 -140/101 1/1 3/1 -79/57 2/1 1/0 -18/13 1/1 1/0 -47/34 1/0 -76/55 9/1 1/0 -105/76 1/0 -29/21 -2/1 1/0 -98/71 -1/1 1/1 -69/50 1/0 -109/79 0/1 1/0 -40/29 -1/1 1/1 -11/8 1/0 -70/51 -1/1 1/1 -59/43 0/1 1/0 -48/35 -1/1 1/0 -85/62 0/1 -37/27 0/1 1/2 -26/19 1/1 1/0 -93/68 1/0 -67/49 -1/4 0/1 -41/30 1/2 -97/71 0/1 1/0 -56/41 1/3 1/1 -127/93 0/1 1/2 -71/52 1/2 -15/11 1/1 -34/25 -1/1 1/0 -87/64 1/0 -140/103 -1/1 1/1 -53/39 0/1 1/0 -72/53 -1/3 0/1 -19/14 1/2 -61/45 -2/1 1/0 -42/31 -1/1 1/1 -23/17 0/1 1/0 -50/37 -1/1 1/1 -27/20 1/0 -4/3 0/1 1/1 -25/19 1/1 -46/35 -1/1 0/1 -21/16 0/1 -38/29 2/3 1/1 -55/42 0/1 -17/13 0/1 1/2 -47/36 1/2 -30/23 3/5 1/1 -73/56 1/2 -43/33 2/3 7/10 -56/43 5/7 1/1 -69/53 2/3 3/4 -13/10 5/6 -35/27 1/1 -22/17 1/1 11/10 -31/24 5/4 -71/55 5/4 34/27 -40/31 1/1 9/7 -9/7 3/2 2/1 -41/32 7/4 -73/57 19/10 2/1 -105/82 2/1 -32/25 2/1 7/3 -87/68 1/0 -55/43 3/1 -23/18 1/0 -37/29 2/1 9/4 -14/11 1/1 3/1 -33/26 1/0 -85/67 3/1 -52/41 9/1 1/0 -175/138 1/0 -123/97 -18/1 1/0 -71/56 1/0 -19/15 0/1 1/0 -24/19 5/3 2/1 -29/23 2/1 1/0 -34/27 1/1 1/0 -5/4 1/0 -26/21 -1/1 1/0 -47/38 1/0 -21/17 1/1 -58/47 5/1 1/0 -37/30 1/0 -53/43 8/1 1/0 -69/56 1/0 -16/13 -1/1 0/1 -43/35 0/1 1/0 -70/57 -1/1 1/1 -27/22 1/0 -38/31 -2/1 -1/1 -49/40 0/1 -11/9 -1/2 0/1 -39/32 3/8 -106/87 9/19 1/2 -67/55 1/2 2/3 -28/23 1/3 1/1 -73/60 1/2 -45/37 1/3 -62/51 1/3 2/5 -17/14 1/2 -40/33 3/5 1/1 -23/19 3/4 4/5 -29/24 9/10 -35/29 1/1 -6/5 1/1 3/2 -25/21 3/1 -19/16 1/0 -70/59 1/1 3/1 -51/43 2/1 1/0 -32/27 2/1 3/1 -13/11 2/1 1/0 -33/28 1/0 -20/17 1/1 3/1 -47/40 5/2 -27/23 7/2 4/1 -34/29 3/1 1/0 -7/6 1/0 -36/31 -3/1 1/0 -29/25 -2/1 1/0 -22/19 -1/1 1/0 -37/32 1/0 -15/13 -1/1 -23/20 1/0 -8/7 -1/1 0/1 -25/22 0/1 -17/15 0/1 1/2 -9/8 3/2 -19/17 3/2 2/1 -29/26 1/0 -10/9 1/1 3/1 -11/10 1/0 -12/11 -7/1 1/0 -1/1 0/1 1/0 0/1 -1/1 1/1 1/1 0/1 1/0 11/10 1/0 10/9 -3/1 -1/1 19/17 -2/1 -3/2 9/8 -3/2 17/15 -1/2 0/1 8/7 0/1 1/1 23/20 1/0 15/13 1/1 22/19 1/1 1/0 29/25 2/1 1/0 7/6 1/0 27/23 -4/1 -7/2 20/17 -3/1 -1/1 33/28 1/0 13/11 -2/1 1/0 32/27 -3/1 -2/1 19/16 1/0 6/5 -3/2 -1/1 23/19 -4/5 -3/4 17/14 -1/2 45/37 -1/3 73/60 -1/2 28/23 -1/1 -1/3 11/9 0/1 1/2 38/31 1/1 2/1 27/22 1/0 16/13 0/1 1/1 37/30 1/0 58/47 -5/1 1/0 21/17 -1/1 47/38 1/0 26/21 1/1 1/0 5/4 1/0 24/19 -2/1 -5/3 19/15 0/1 1/0 52/41 -9/1 1/0 85/67 -3/1 33/26 1/0 14/11 -3/1 -1/1 37/29 -9/4 -2/1 23/18 1/0 55/43 -3/1 32/25 -7/3 -2/1 9/7 -2/1 -3/2 40/31 -9/7 -1/1 31/24 -5/4 22/17 -11/10 -1/1 35/27 -1/1 13/10 -5/6 56/43 -1/1 -5/7 43/33 -7/10 -2/3 30/23 -1/1 -3/5 17/13 -1/2 0/1 38/29 -1/1 -2/3 59/45 0/1 1/0 21/16 0/1 46/35 0/1 1/1 25/19 -1/1 4/3 -1/1 0/1 27/20 1/0 23/17 0/1 1/0 19/14 -1/2 53/39 0/1 1/0 34/25 1/1 1/0 15/11 -1/1 71/52 -1/2 56/41 -1/1 -1/3 97/71 0/1 1/0 41/30 -1/2 67/49 0/1 1/4 26/19 -1/1 1/0 37/27 -1/2 0/1 48/35 1/1 1/0 11/8 1/0 29/21 2/1 1/0 18/13 -1/1 1/0 61/44 1/0 43/31 -5/2 -2/1 111/80 1/0 68/49 -3/1 -2/1 93/67 -2/1 1/0 25/18 -2/1 82/59 -7/4 -5/3 139/100 -3/2 57/41 -2/1 -3/2 32/23 -2/1 -5/3 7/5 -1/1 38/27 -4/5 -7/9 69/49 -3/4 -26/35 31/22 -3/4 55/39 -5/7 79/56 -7/10 24/17 -2/3 -7/11 17/12 -1/2 61/43 -12/23 -1/2 105/74 -1/2 44/31 -1/2 -7/15 71/50 -1/2 98/69 -3/7 -1/3 27/19 -1/2 0/1 64/45 -1/1 -1/2 37/26 -1/2 10/7 -1/1 -1/3 33/23 0/1 1/4 23/16 1/0 13/9 -1/2 0/1 42/29 -1/1 -1/3 29/20 -1/4 16/11 -1/5 0/1 35/24 0/1 19/13 0/1 1/4 41/28 1/2 22/15 1/2 1/1 25/17 1/1 3/2 1/0 23/15 -2/3 -1/2 20/13 -1/1 -3/5 37/24 -1/2 54/35 -4/7 -5/9 17/11 -1/2 -4/9 31/20 -1/4 14/9 -1/1 -1/3 39/25 -1/2 0/1 142/91 -1/1 0/1 245/157 -1/1 103/66 -1/2 64/41 -1/1 -1/2 25/16 -1/2 36/23 -1/2 -3/7 11/7 -1/2 0/1 30/19 -1/3 -1/5 79/50 -1/4 128/81 -3/11 -1/4 49/31 -1/5 117/74 -1/6 68/43 -1/1 0/1 19/12 -1/6 46/29 -1/9 0/1 73/46 -1/10 100/63 -1/9 -1/11 27/17 -1/14 0/1 35/22 0/1 8/5 0/1 1/3 45/28 0/1 82/51 1/1 1/0 37/23 0/1 1/2 66/41 0/1 1/1 29/18 1/0 50/31 1/3 1/1 71/44 1/2 21/13 1/1 76/47 3/1 1/0 207/128 1/0 131/81 4/1 1/0 55/34 1/0 34/21 1/1 1/0 13/8 1/0 44/27 -1/1 1/0 75/46 1/0 106/65 -1/1 1/0 31/19 0/1 1/0 142/87 -1/1 0/1 111/68 1/0 191/117 0/1 1/2 80/49 -1/1 1/1 129/79 -1/2 0/1 49/30 0/1 67/41 0/1 1/0 85/52 0/1 18/11 1/1 1/0 41/25 4/1 1/0 23/14 1/0 28/17 -1/1 1/1 61/37 -2/1 1/0 33/20 1/0 5/3 -1/1 37/22 -1/2 69/41 -1/2 -12/25 32/19 -2/5 -1/3 27/16 -1/2 49/29 -1/1 71/42 -1/2 93/55 -1/2 0/1 22/13 -1/1 -1/2 39/23 -1/2 0/1 17/10 -1/2 46/27 0/1 1/1 75/44 -1/2 104/61 -1/1 -1/2 29/17 -1/2 0/1 12/7 -1/1 -1/2 79/46 -1/2 67/39 -1/2 -2/5 55/32 -2/5 43/25 -3/8 -4/11 74/43 -12/35 -1/3 105/61 -1/3 31/18 -5/16 50/29 -1/3 -3/11 69/40 -1/4 157/91 -18/71 -1/4 245/142 -1/4 88/51 -1/4 -9/37 19/11 -1/4 0/1 45/26 -1/4 116/67 -1/5 0/1 187/108 -1/4 71/41 -2/7 -1/4 26/15 -1/5 -1/6 33/19 -1/4 0/1 7/4 0/1 37/21 0/1 1/6 104/59 1/5 1/4 67/38 1/4 30/17 1/5 1/3 23/13 2/5 1/2 62/35 0/1 1/1 39/22 1/2 55/31 1/3 71/40 1/2 87/49 1/2 10/19 16/9 2/3 1/1 41/23 0/1 1/0 66/37 0/1 1/1 25/14 1/0 34/19 3/1 1/0 43/24 1/0 9/5 0/1 1/0 38/21 -1/5 0/1 105/58 0/1 67/37 0/1 1/8 29/16 1/2 20/11 -1/1 1/1 31/17 0/1 1/0 11/6 1/0 35/19 -1/1 24/13 -1/1 -2/3 61/33 -4/7 -1/2 37/20 -1/2 13/7 -1/2 0/1 28/15 -1/1 -1/3 43/23 -1/2 -2/5 15/8 0/1 17/9 -1/2 0/1 19/10 -1/4 2/1 0/1 1/1 17/8 1/0 15/7 -1/1 28/13 -1/1 -1/3 13/6 -1/4 37/17 -1/10 0/1 61/28 -1/12 24/11 -1/19 0/1 35/16 0/1 11/5 0/1 1/10 42/19 1/7 1/5 73/33 2/13 1/6 31/14 3/16 20/9 1/5 1/3 29/13 1/4 2/7 9/4 1/2 43/19 0/1 1/4 77/34 1/2 111/49 0/1 1/2 34/15 1/3 1/2 25/11 1/1 66/29 0/1 1/1 41/18 1/2 16/7 0/1 1/3 71/31 0/1 1/2 55/24 1/2 39/17 0/1 1/2 140/61 1/3 1/1 101/44 1/2 62/27 0/1 1/1 23/10 1/2 30/13 1/3 1/1 7/3 1/1 40/17 1/1 3/1 73/31 4/1 1/0 106/45 15/1 1/0 245/104 1/0 139/59 -16/1 1/0 33/14 1/0 26/11 3/1 1/0 71/30 1/0 187/79 -2/1 1/0 490/207 -3/1 -1/1 303/128 1/0 116/49 -3/1 -2/1 45/19 -1/1 64/27 1/2 1/1 19/8 1/0 69/29 2/1 1/0 50/21 -1/1 1/1 31/13 0/1 1/0 105/44 0/1 74/31 0/1 1/1 43/18 1/0 98/41 -1/1 1/1 55/23 1/1 67/28 1/0 12/5 1/1 1/0 41/17 0/1 1/0 70/29 -1/1 1/1 29/12 1/0 17/7 2/1 1/0 39/16 -3/2 22/9 -1/1 -3/4 49/20 -1/2 27/11 -1/2 0/1 32/13 -1/1 0/1 5/2 0/1 38/15 0/1 1/5 33/13 0/1 1/4 61/24 1/6 28/11 1/5 1/3 79/31 2/9 1/4 51/20 1/2 23/9 0/1 1/4 18/7 3/7 1/2 85/33 3/5 67/26 1/2 116/45 2/3 1/1 49/19 1/1 129/50 1/0 80/31 -1/1 1/1 111/43 -1/2 0/1 31/12 1/4 137/53 4/9 1/2 106/41 1/2 7/13 75/29 1/1 44/17 1/2 1/1 57/22 1/2 70/27 1/3 1/1 13/5 0/1 1/2 47/18 1/4 175/67 1/3 128/49 1/3 5/14 81/31 2/5 1/2 34/13 1/2 1/1 55/21 1/3 131/50 1/2 207/79 2/5 1/2 490/187 1/3 3/7 283/108 1/2 76/29 3/7 1/2 97/37 2/5 1/2 21/8 1/2 92/35 3/5 5/8 163/62 1/2 71/27 1/2 4/7 50/19 3/5 1/1 29/11 0/1 1/2 66/25 0/1 1/1 103/39 0/1 1/2 140/53 1/3 1/1 37/14 1/2 82/31 3/7 1/2 45/17 1/1 8/3 2/3 1/1 35/13 1/1 27/10 7/6 73/27 5/4 4/3 119/44 4/3 46/17 9/7 4/3 19/7 3/2 2/1 68/25 1/1 2/1 117/43 3/2 2/1 49/18 2/1 128/47 7/3 5/2 207/76 5/2 79/29 5/2 8/3 30/11 1/1 3/1 71/26 1/0 41/15 4/1 1/0 11/4 1/0 36/13 -3/1 1/0 25/9 -1/1 64/23 -1/3 -1/4 39/14 1/2 14/5 -1/1 1/1 31/11 0/1 1/0 17/6 1/0 37/13 -1/2 0/1 20/7 -1/1 1/1 23/8 -1/2 26/9 -1/2 -1/3 3/1 0/1 1/2 25/8 2/3 47/15 2/3 3/4 22/7 3/4 1/1 41/13 3/4 4/5 19/6 7/8 35/11 1/1 16/5 1/1 6/5 29/9 4/3 3/2 71/22 3/2 42/13 1/1 5/3 13/4 1/0 36/11 3/1 1/0 59/18 1/0 141/43 12/1 1/0 82/25 19/1 1/0 105/32 1/0 23/7 -4/1 1/0 33/10 1/0 10/3 -1/1 1/1 37/11 -1/6 0/1 175/52 0/1 138/41 0/1 1/27 101/30 1/10 64/19 1/5 1/4 91/27 1/3 27/8 1/2 98/29 1/3 1/1 71/21 1/2 4/7 44/13 3/4 1/1 105/31 1/1 61/18 5/4 17/5 2/1 1/0 41/12 1/0 24/7 0/1 1/1 79/23 -2/1 1/0 55/16 1/0 31/9 0/1 1/0 7/2 0/1 39/11 0/1 1/2 71/20 1/2 245/69 1/1 174/49 1/1 1/0 103/29 0/1 1/2 32/9 0/1 1/3 57/16 1/4 139/39 2/5 1/2 82/23 1/2 5/9 25/7 1/1 118/33 1/2 1/1 93/26 1/0 68/19 -1/5 0/1 179/50 1/12 111/31 0/1 1/6 43/12 1/2 61/17 0/1 1/2 140/39 1/3 1/1 79/22 1/2 18/5 1/3 1/2 47/13 2/3 3/4 76/21 9/10 1/1 105/29 1/1 29/8 3/2 98/27 1/1 3/1 69/19 6/1 1/0 109/30 1/0 40/11 -1/1 1/1 11/3 0/1 1/2 70/19 1/3 1/1 59/16 1/2 48/13 1/3 1/2 85/23 1/3 37/10 1/2 26/7 1/2 3/5 93/25 2/3 3/4 67/18 5/6 41/11 0/1 1/0 97/26 1/4 56/15 1/3 1/1 127/34 3/8 71/19 0/1 1/2 15/4 1/2 34/9 1/2 1/1 87/23 1/2 2/3 140/37 3/5 1/1 53/14 1/2 72/19 2/3 1/1 19/5 1/2 2/3 61/16 1/2 42/11 5/7 1/1 23/6 3/4 50/13 9/11 1/1 27/7 6/7 7/8 4/1 1/1 2/1 25/6 1/0 46/11 0/1 1/1 21/5 1/1 38/9 5/3 2/1 55/13 1/1 17/4 1/0 47/11 4/3 3/2 30/7 1/1 3/1 73/17 0/1 1/0 43/10 3/2 56/13 1/1 3/1 69/16 1/0 13/3 2/1 1/0 35/8 1/0 22/5 -1/1 1/0 31/7 0/1 1/0 71/16 1/0 40/9 -1/1 1/1 9/2 1/0 41/9 1/2 2/3 73/16 7/8 105/23 1/1 32/7 1/1 4/3 87/19 3/2 2/1 55/12 2/1 23/5 4/1 1/0 37/8 1/0 14/3 -1/1 1/1 33/7 0/1 1/4 85/18 0/1 52/11 1/2 1/1 175/37 1/1 123/26 3/2 71/15 2/1 1/0 19/4 1/0 24/5 0/1 1/3 29/6 1/2 34/7 5/11 1/2 5/1 1/1 26/5 1/1 3/2 47/9 7/4 2/1 21/4 2/1 58/11 5/2 3/1 37/7 2/1 1/0 53/10 5/2 69/13 2/1 1/0 16/3 2/1 3/1 43/8 1/0 70/13 1/1 3/1 27/5 2/1 1/0 38/7 1/1 2/1 49/9 3/1 11/2 1/0 39/7 2/1 1/0 106/19 1/1 1/0 67/12 1/0 28/5 1/1 3/1 73/13 0/1 1/0 45/8 2/1 62/11 2/1 7/3 17/3 2/1 1/0 40/7 3/1 5/1 23/4 1/0 29/5 10/1 1/0 35/6 1/0 6/1 -1/1 1/0 25/4 1/0 19/3 0/1 1/0 70/11 -1/1 1/1 51/8 1/0 32/5 -1/1 0/1 13/2 -1/2 33/5 0/1 1/4 20/3 1/3 1/1 47/7 0/1 1/2 27/4 1/2 34/5 3/7 1/2 7/1 1/1 36/5 13/9 3/2 29/4 3/2 22/3 1/1 3/2 37/5 7/4 2/1 15/2 2/1 23/3 0/1 1/0 8/1 2/1 3/1 25/3 3/1 17/2 1/0 9/1 -4/1 1/0 19/2 -3/2 29/3 -1/2 0/1 10/1 -1/1 1/1 11/1 0/1 1/2 12/1 1/1 3/2 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(141,1610,-98,-1119) (-11/1,1/0) -> (-59/41,-141/98) Hyperbolic Matrix(209,2170,128,1329) (-11/1,-10/1) -> (80/49,129/79) Hyperbolic Matrix(351,3430,-136,-1329) (-10/1,-19/2) -> (-191/74,-80/31) Hyperbolic Matrix(209,1960,82,769) (-19/2,-9/1) -> (79/31,51/20) Hyperbolic Matrix(139,1190,98,839) (-9/1,-17/2) -> (17/12,61/43) Hyperbolic Matrix(141,1190,-116,-979) (-17/2,-8/1) -> (-62/51,-17/14) Hyperbolic Matrix(209,1610,118,909) (-8/1,-23/3) -> (23/13,62/35) Hyperbolic Matrix(211,1610,46,351) (-23/3,-15/2) -> (55/12,23/5) Hyperbolic Matrix(351,2590,-256,-1889) (-15/2,-22/3) -> (-48/35,-85/62) Hyperbolic Matrix(211,1540,144,1051) (-22/3,-29/4) -> (41/28,22/15) Hyperbolic Matrix(419,3010,-234,-1681) (-29/4,-7/1) -> (-77/43,-111/62) Hyperbolic Matrix(351,2380,-196,-1329) (-7/1,-27/4) -> (-43/24,-77/43) Hyperbolic Matrix(281,1890,-208,-1399) (-27/4,-20/3) -> (-50/37,-27/20) Hyperbolic Matrix(211,1400,74,491) (-20/3,-33/5) -> (37/13,20/7) Hyperbolic Matrix(139,910,64,419) (-33/5,-13/2) -> (13/6,37/17) Hyperbolic Matrix(349,2240,98,629) (-13/2,-32/5) -> (32/9,57/16) Hyperbolic Matrix(351,2240,-296,-1889) (-32/5,-19/3) -> (-51/43,-32/27) Hyperbolic Matrix(211,1330,-122,-769) (-19/3,-6/1) -> (-64/37,-19/11) Hyperbolic Matrix(351,2030,-254,-1469) (-6/1,-23/4) -> (-47/34,-76/55) Hyperbolic Matrix(209,1190,-160,-911) (-23/4,-17/3) -> (-17/13,-47/36) Hyperbolic Matrix(211,1190,-186,-1049) (-17/3,-45/8) -> (-25/22,-17/15) Hyperbolic Matrix(349,1960,112,629) (-45/8,-73/13) -> (3/1,25/8) Hyperbolic Matrix(911,5110,412,2311) (-73/13,-28/5) -> (42/19,73/33) Hyperbolic Matrix(139,770,-76,-421) (-28/5,-11/2) -> (-11/6,-42/23) Hyperbolic Matrix(489,2660,-116,-631) (-11/2,-38/7) -> (-38/9,-59/14) Hyperbolic Matrix(349,1890,142,769) (-38/7,-27/5) -> (27/11,32/13) Hyperbolic Matrix(209,1120,-170,-911) (-27/5,-16/3) -> (-16/13,-43/35) Hyperbolic Matrix(489,2590,-172,-911) (-16/3,-37/7) -> (-37/13,-54/19) Hyperbolic Matrix(981,5180,610,3221) (-37/7,-58/11) -> (82/51,37/23) Hyperbolic Matrix(1051,5530,386,2031) (-58/11,-21/4) -> (49/18,128/47) Hyperbolic Matrix(909,4760,334,1749) (-21/4,-47/9) -> (117/43,49/18) Hyperbolic Matrix(699,3640,188,979) (-47/9,-26/5) -> (26/7,93/25) Hyperbolic Matrix(419,2170,162,839) (-26/5,-5/1) -> (75/29,44/17) Hyperbolic Matrix(421,2030,-174,-839) (-5/1,-24/5) -> (-46/19,-75/31) Hyperbolic Matrix(279,1330,176,839) (-24/5,-19/4) -> (19/12,46/29) Hyperbolic Matrix(561,2660,-236,-1119) (-19/4,-52/11) -> (-88/37,-19/8) Hyperbolic Matrix(1259,5950,770,3639) (-52/11,-85/18) -> (85/52,18/11) Hyperbolic Matrix(771,3640,104,491) (-85/18,-33/7) -> (37/5,15/2) Hyperbolic Matrix(209,980,164,769) (-33/7,-14/3) -> (14/11,37/29) Hyperbolic Matrix(211,980,166,771) (-14/3,-37/8) -> (33/26,14/11) Hyperbolic Matrix(349,1610,106,489) (-37/8,-23/5) -> (23/7,33/10) Hyperbolic Matrix(351,1610,46,211) (-23/5,-55/12) -> (15/2,23/3) Hyperbolic Matrix(841,3850,-642,-2939) (-55/12,-32/7) -> (-38/29,-55/42) Hyperbolic Matrix(139,630,-62,-281) (-32/7,-9/2) -> (-9/4,-38/17) Hyperbolic Matrix(771,3430,488,2171) (-9/2,-40/9) -> (30/19,79/50) Hyperbolic Matrix(1261,5600,-914,-4059) (-40/9,-31/7) -> (-109/79,-40/29) Hyperbolic Matrix(349,1540,206,909) (-31/7,-22/5) -> (22/13,39/23) Hyperbolic Matrix(351,1540,80,351) (-22/5,-35/8) -> (35/8,22/5) Hyperbolic Matrix(209,910,48,209) (-35/8,-13/3) -> (13/3,35/8) Hyperbolic Matrix(1819,7840,-1332,-5741) (-13/3,-56/13) -> (-56/41,-127/93) Hyperbolic Matrix(1821,7840,488,2101) (-56/13,-43/10) -> (97/26,56/15) Hyperbolic Matrix(1189,5110,-440,-1891) (-43/10,-30/7) -> (-100/37,-27/10) Hyperbolic Matrix(279,1190,-230,-981) (-30/7,-17/4) -> (-17/14,-40/33) Hyperbolic Matrix(911,3850,-712,-3009) (-17/4,-38/9) -> (-32/25,-87/68) Hyperbolic Matrix(1331,5600,516,2171) (-59/14,-21/5) -> (49/19,129/50) Hyperbolic Matrix(1119,4690,434,1819) (-21/5,-46/11) -> (116/45,49/19) Hyperbolic Matrix(1191,4970,688,2871) (-46/11,-25/6) -> (45/26,116/67) Hyperbolic Matrix(421,1750,236,981) (-25/6,-4/1) -> (66/37,25/14) Hyperbolic Matrix(561,2170,326,1261) (-4/1,-27/7) -> (43/25,74/43) Hyperbolic Matrix(491,1890,-418,-1609) (-27/7,-23/6) -> (-47/40,-27/23) Hyperbolic Matrix(421,1610,-256,-979) (-23/6,-19/5) -> (-51/31,-23/14) Hyperbolic Matrix(351,1330,-166,-629) (-19/5,-53/14) -> (-17/8,-19/9) Hyperbolic Matrix(1259,4760,-926,-3501) (-53/14,-34/9) -> (-34/25,-87/64) Hyperbolic Matrix(631,2380,390,1471) (-34/9,-15/4) -> (55/34,34/21) Hyperbolic Matrix(1329,4970,580,2169) (-15/4,-71/19) -> (71/31,55/24) Hyperbolic Matrix(2099,7840,-1612,-6021) (-71/19,-56/15) -> (-56/43,-69/53) Hyperbolic Matrix(2101,7840,488,1821) (-56/15,-97/26) -> (43/10,56/13) Hyperbolic Matrix(3359,12530,938,3499) (-97/26,-41/11) -> (111/31,43/12) Hyperbolic Matrix(1259,4690,-564,-2101) (-41/11,-67/18) -> (-67/30,-29/13) Hyperbolic Matrix(489,1820,-320,-1191) (-67/18,-26/7) -> (-26/17,-3/2) Hyperbolic Matrix(491,1820,208,771) (-26/7,-37/10) -> (33/14,26/11) Hyperbolic Matrix(701,2590,-606,-2239) (-37/10,-48/13) -> (-22/19,-37/32) Hyperbolic Matrix(911,3360,-664,-2449) (-48/13,-11/3) -> (-59/43,-48/35) Hyperbolic Matrix(211,770,-134,-489) (-11/3,-29/8) -> (-41/26,-11/7) Hyperbolic Matrix(349,1260,-136,-491) (-29/8,-18/5) -> (-18/7,-41/16) Hyperbolic Matrix(701,2520,-506,-1819) (-18/5,-61/17) -> (-79/57,-18/13) Hyperbolic Matrix(839,3010,468,1679) (-61/17,-43/12) -> (43/24,9/5) Hyperbolic Matrix(3499,12530,938,3359) (-43/12,-111/31) -> (41/11,97/26) Hyperbolic Matrix(6511,23310,-2522,-9029) (-111/31,-68/19) -> (-142/55,-111/43) Hyperbolic Matrix(3991,14280,2524,9031) (-68/19,-93/26) -> (117/74,68/43) Hyperbolic Matrix(979,3500,-666,-2381) (-93/26,-25/7) -> (-25/17,-47/32) Hyperbolic Matrix(1609,5740,608,2169) (-25/7,-82/23) -> (82/31,45/17) Hyperbolic Matrix(6441,22960,1964,7001) (-82/23,-139/39) -> (141/43,82/25) Hyperbolic Matrix(6089,21700,1630,5809) (-139/39,-57/16) -> (127/34,71/19) Hyperbolic Matrix(629,2240,98,349) (-57/16,-32/9) -> (32/5,13/2) Hyperbolic Matrix(139,490,-40,-141) (-32/9,-7/2) -> (-7/2,-38/11) Parabolic Matrix(1399,4830,-568,-1961) (-38/11,-69/20) -> (-69/28,-32/13) Hyperbolic Matrix(1259,4340,284,979) (-69/20,-31/9) -> (31/7,71/16) Hyperbolic Matrix(1119,3850,488,1679) (-31/9,-55/16) -> (55/24,39/17) Hyperbolic Matrix(3361,11550,2078,7141) (-55/16,-79/23) -> (131/81,55/34) Hyperbolic Matrix(979,3360,530,1819) (-79/23,-24/7) -> (24/13,61/33) Hyperbolic Matrix(349,1190,-144,-491) (-24/7,-17/5) -> (-17/7,-46/19) Hyperbolic Matrix(351,1190,310,1051) (-17/5,-61/18) -> (9/8,17/15) Hyperbolic Matrix(3781,12810,1116,3781) (-61/18,-105/31) -> (105/31,61/18) Hyperbolic Matrix(2729,9240,806,2729) (-105/31,-44/13) -> (44/13,105/31) Hyperbolic Matrix(1469,4970,848,2869) (-44/13,-71/21) -> (71/41,26/15) Hyperbolic Matrix(4059,13720,1118,3779) (-71/21,-98/29) -> (98/27,69/19) Hyperbolic Matrix(2031,6860,850,2871) (-98/29,-27/8) -> (43/18,98/41) Hyperbolic Matrix(2451,8260,-1516,-5109) (-27/8,-64/19) -> (-76/47,-97/60) Hyperbolic Matrix(2661,8960,-956,-3219) (-64/19,-37/11) -> (-103/37,-64/23) Hyperbolic Matrix(209,700,146,489) (-37/11,-10/3) -> (10/7,33/23) Hyperbolic Matrix(211,700,148,491) (-10/3,-33/10) -> (37/26,10/7) Hyperbolic Matrix(489,1610,106,349) (-33/10,-23/7) -> (23/5,37/8) Hyperbolic Matrix(279,910,-172,-561) (-23/7,-13/4) -> (-13/8,-47/29) Hyperbolic Matrix(281,910,130,421) (-13/4,-42/13) -> (28/13,13/6) Hyperbolic Matrix(1259,4060,-912,-2941) (-42/13,-29/9) -> (-29/21,-98/71) Hyperbolic Matrix(349,1120,196,629) (-29/9,-16/5) -> (16/9,41/23) Hyperbolic Matrix(351,1120,110,351) (-16/5,-35/11) -> (35/11,16/5) Hyperbolic Matrix(419,1330,132,419) (-35/11,-19/6) -> (19/6,35/11) Hyperbolic Matrix(3149,9940,-1220,-3851) (-19/6,-41/13) -> (-111/43,-191/74) Hyperbolic Matrix(489,1540,422,1329) (-41/13,-22/7) -> (22/19,29/25) Hyperbolic Matrix(1119,3500,-806,-2521) (-22/7,-25/8) -> (-25/18,-118/85) Hyperbolic Matrix(629,1960,112,349) (-25/8,-3/1) -> (73/13,45/8) Hyperbolic Matrix(629,1820,-460,-1331) (-3/1,-23/8) -> (-93/68,-67/49) Hyperbolic Matrix(489,1400,-416,-1191) (-23/8,-20/7) -> (-20/17,-47/40) Hyperbolic Matrix(491,1400,74,211) (-20/7,-37/13) -> (33/5,20/3) Hyperbolic Matrix(1749,4970,-764,-2171) (-54/19,-17/6) -> (-87/38,-16/7) Hyperbolic Matrix(421,1190,248,701) (-17/6,-31/11) -> (39/23,17/10) Hyperbolic Matrix(349,980,224,629) (-31/11,-14/5) -> (14/9,39/25) Hyperbolic Matrix(351,980,226,631) (-14/5,-39/14) -> (31/20,14/9) Hyperbolic Matrix(10081,28070,2816,7841) (-39/14,-142/51) -> (68/19,179/50) Hyperbolic Matrix(21069,58660,6260,17429) (-142/51,-245/88) -> (175/52,138/41) Hyperbolic Matrix(9731,27090,2892,8051) (-245/88,-103/37) -> (37/11,175/52) Hyperbolic Matrix(1611,4480,680,1891) (-64/23,-25/9) -> (45/19,64/27) Hyperbolic Matrix(631,1750,278,771) (-25/9,-36/13) -> (34/15,25/11) Hyperbolic Matrix(1189,3290,-734,-2031) (-36/13,-11/4) -> (-81/50,-34/21) Hyperbolic Matrix(281,770,-204,-559) (-11/4,-30/11) -> (-40/29,-11/8) Hyperbolic Matrix(1259,3430,976,2659) (-30/11,-79/29) -> (9/7,40/31) Hyperbolic Matrix(4061,11060,-1696,-4619) (-79/29,-128/47) -> (-12/5,-79/33) Hyperbolic Matrix(2031,5530,386,1051) (-128/47,-49/18) -> (21/4,58/11) Hyperbolic Matrix(1749,4760,334,909) (-49/18,-117/43) -> (47/9,21/4) Hyperbolic Matrix(5249,14280,3782,10289) (-117/43,-68/25) -> (68/49,93/67) Hyperbolic Matrix(489,1330,-232,-631) (-68/25,-19/7) -> (-19/9,-2/1) Hyperbolic Matrix(491,1330,388,1051) (-19/7,-46/17) -> (24/19,19/15) Hyperbolic Matrix(4271,11550,-2614,-7069) (-46/17,-73/27) -> (-67/41,-116/71) Hyperbolic Matrix(3781,10220,1606,4341) (-73/27,-100/37) -> (40/17,73/31) Hyperbolic Matrix(701,1890,260,701) (-27/10,-35/13) -> (35/13,27/10) Hyperbolic Matrix(209,560,78,209) (-35/13,-8/3) -> (8/3,35/13) Hyperbolic Matrix(1189,3150,-978,-2591) (-8/3,-45/17) -> (-45/37,-62/51) Hyperbolic Matrix(2169,5740,608,1609) (-45/17,-82/31) -> (82/23,25/7) Hyperbolic Matrix(1959,5180,1588,4199) (-82/31,-37/14) -> (37/30,58/47) Hyperbolic Matrix(3499,9240,-2174,-5741) (-37/14,-66/25) -> (-66/41,-103/64) Hyperbolic Matrix(1751,4620,982,2591) (-66/25,-29/11) -> (41/23,66/37) Hyperbolic Matrix(771,2030,346,911) (-29/11,-50/19) -> (20/9,29/13) Hyperbolic Matrix(2661,7000,1118,2941) (-50/19,-71/27) -> (69/29,50/21) Hyperbolic Matrix(1891,4970,-772,-2029) (-71/27,-21/8) -> (-49/20,-71/29) Hyperbolic Matrix(3151,8260,-2216,-5809) (-21/8,-76/29) -> (-64/45,-91/64) Hyperbolic Matrix(14211,37240,-8788,-23029) (-76/29,-207/79) -> (-283/175,-76/47) Hyperbolic Matrix(9591,25130,5584,14631) (-207/79,-131/50) -> (79/46,67/39) Hyperbolic Matrix(4409,11550,3126,8189) (-131/50,-55/21) -> (55/39,79/56) Hyperbolic Matrix(909,2380,668,1749) (-55/21,-34/13) -> (34/25,15/11) Hyperbolic Matrix(349,910,-242,-631) (-34/13,-13/5) -> (-13/9,-36/25) Hyperbolic Matrix(1189,3080,-730,-1891) (-13/5,-44/17) -> (-44/27,-57/35) Hyperbolic Matrix(839,2170,162,419) (-44/17,-75/29) -> (5/1,26/5) Hyperbolic Matrix(1191,3080,244,631) (-75/29,-106/41) -> (34/7,5/1) Hyperbolic Matrix(2871,7420,-2356,-6089) (-106/41,-31/12) -> (-39/32,-106/87) Hyperbolic Matrix(7211,18620,2142,5531) (-31/12,-142/55) -> (138/41,101/30) Hyperbolic Matrix(841,2170,760,1961) (-80/31,-129/50) -> (11/10,10/9) Hyperbolic Matrix(2659,6860,488,1259) (-129/50,-49/19) -> (49/9,11/2) Hyperbolic Matrix(4481,11550,-2824,-7279) (-49/19,-67/26) -> (-73/46,-119/75) Hyperbolic Matrix(3641,9380,1522,3921) (-67/26,-85/33) -> (55/23,67/28) Hyperbolic Matrix(2311,5950,1822,4691) (-85/33,-18/7) -> (52/41,85/67) Hyperbolic Matrix(629,1610,-520,-1331) (-41/16,-23/9) -> (-23/19,-29/24) Hyperbolic Matrix(631,1610,-466,-1189) (-23/9,-28/11) -> (-42/31,-23/17) Hyperbolic Matrix(1679,4270,440,1119) (-28/11,-61/24) -> (61/16,42/11) Hyperbolic Matrix(1681,4270,772,1961) (-61/24,-33/13) -> (37/17,61/28) Hyperbolic Matrix(139,350,-56,-141) (-33/13,-5/2) -> (-5/2,-37/15) Parabolic Matrix(3009,7420,-1732,-4271) (-37/15,-69/28) -> (-139/80,-33/19) Hyperbolic Matrix(769,1890,142,349) (-32/13,-27/11) -> (27/5,38/7) Hyperbolic Matrix(1541,3780,-1084,-2659) (-27/11,-49/20) -> (-91/64,-27/19) Hyperbolic Matrix(8121,19880,4690,11481) (-71/29,-93/38) -> (187/108,71/41) Hyperbolic Matrix(5321,13020,1488,3641) (-93/38,-22/9) -> (118/33,93/26) Hyperbolic Matrix(631,1540,488,1191) (-22/9,-39/16) -> (31/24,22/17) Hyperbolic Matrix(489,1190,316,769) (-39/16,-17/7) -> (17/11,31/20) Hyperbolic Matrix(6511,15750,2518,6091) (-75/31,-104/43) -> (106/41,75/29) Hyperbolic Matrix(5181,12530,-2894,-6999) (-104/43,-29/12) -> (-111/62,-34/19) Hyperbolic Matrix(349,840,-204,-491) (-29/12,-12/5) -> (-12/7,-41/24) Hyperbolic Matrix(10499,25130,6492,15539) (-79/33,-67/28) -> (207/128,131/81) Hyperbolic Matrix(3921,9380,1522,3641) (-67/28,-55/23) -> (85/33,67/26) Hyperbolic Matrix(1259,3010,-586,-1401) (-55/23,-43/18) -> (-43/20,-15/7) Hyperbolic Matrix(909,2170,674,1609) (-43/18,-74/31) -> (4/3,27/20) Hyperbolic Matrix(6511,15540,2728,6511) (-74/31,-105/44) -> (105/44,74/31) Hyperbolic Matrix(2729,6510,1144,2729) (-105/44,-31/13) -> (31/13,105/44) Hyperbolic Matrix(911,2170,500,1191) (-31/13,-50/21) -> (20/11,31/17) Hyperbolic Matrix(2941,7000,1118,2661) (-50/21,-69/29) -> (71/27,50/19) Hyperbolic Matrix(6091,14490,1148,2731) (-69/29,-157/66) -> (53/10,69/13) Hyperbolic Matrix(24219,57610,5120,12179) (-157/66,-245/103) -> (175/37,123/26) Hyperbolic Matrix(11831,28140,2502,5951) (-245/103,-88/37) -> (52/11,175/37) Hyperbolic Matrix(561,1330,-472,-1119) (-19/8,-45/19) -> (-25/21,-19/16) Hyperbolic Matrix(2099,4970,1596,3779) (-45/19,-116/49) -> (46/35,25/19) Hyperbolic Matrix(24011,56840,-13868,-32829) (-116/49,-187/79) -> (-303/175,-116/67) Hyperbolic Matrix(8399,19880,4968,11759) (-187/79,-71/30) -> (71/42,93/55) Hyperbolic Matrix(2101,4970,1480,3501) (-71/30,-26/11) -> (44/31,71/50) Hyperbolic Matrix(771,1820,208,491) (-26/11,-33/14) -> (37/10,26/7) Hyperbolic Matrix(209,490,-90,-211) (-33/14,-7/3) -> (-7/3,-37/16) Parabolic Matrix(7419,17150,-5330,-12321) (-37/16,-104/45) -> (-174/125,-103/74) Hyperbolic Matrix(9239,21350,3574,8259) (-104/45,-67/29) -> (137/53,106/41) Hyperbolic Matrix(1819,4200,424,979) (-67/29,-30/13) -> (30/7,73/17) Hyperbolic Matrix(911,2100,-698,-1609) (-30/13,-23/10) -> (-47/36,-30/23) Hyperbolic Matrix(701,1610,610,1401) (-23/10,-62/27) -> (8/7,23/20) Hyperbolic Matrix(3781,8680,-2134,-4899) (-62/27,-39/17) -> (-101/57,-62/35) Hyperbolic Matrix(1679,3850,488,1119) (-39/17,-55/24) -> (55/16,31/9) Hyperbolic Matrix(2169,4970,580,1329) (-55/24,-71/31) -> (71/19,15/4) Hyperbolic Matrix(6511,14910,1376,3151) (-71/31,-87/38) -> (123/26,71/15) Hyperbolic Matrix(491,1120,338,771) (-16/7,-41/18) -> (29/20,16/11) Hyperbolic Matrix(2029,4620,1260,2869) (-41/18,-66/29) -> (66/41,29/18) Hyperbolic Matrix(769,1750,584,1329) (-66/29,-25/11) -> (25/19,4/3) Hyperbolic Matrix(771,1750,278,631) (-25/11,-34/15) -> (36/13,25/9) Hyperbolic Matrix(1051,2380,-896,-2029) (-34/15,-43/19) -> (-27/23,-34/29) Hyperbolic Matrix(1331,3010,960,2171) (-43/19,-9/4) -> (61/44,43/31) Hyperbolic Matrix(3289,7350,720,1609) (-38/17,-105/47) -> (105/23,32/7) Hyperbolic Matrix(6581,14700,1442,3221) (-105/47,-67/30) -> (73/16,105/23) Hyperbolic Matrix(911,2030,346,771) (-29/13,-20/9) -> (50/19,29/11) Hyperbolic Matrix(979,2170,568,1259) (-20/9,-31/14) -> (31/18,50/29) Hyperbolic Matrix(349,770,-286,-631) (-31/14,-11/5) -> (-11/9,-39/32) Hyperbolic Matrix(351,770,160,351) (-11/5,-35/16) -> (35/16,11/5) Hyperbolic Matrix(769,1680,352,769) (-35/16,-24/11) -> (24/11,35/16) Hyperbolic Matrix(1541,3360,1092,2381) (-24/11,-61/28) -> (79/56,24/17) Hyperbolic Matrix(1961,4270,772,1681) (-61/28,-37/17) -> (33/13,61/24) Hyperbolic Matrix(419,910,64,139) (-37/17,-13/6) -> (13/2,33/5) Hyperbolic Matrix(421,910,130,281) (-13/6,-28/13) -> (42/13,13/4) Hyperbolic Matrix(2311,4970,684,1471) (-28/13,-43/20) -> (27/8,98/29) Hyperbolic Matrix(1049,2240,-820,-1751) (-15/7,-17/8) -> (-87/68,-55/43) Hyperbolic Matrix(701,1330,-516,-979) (-2/1,-17/9) -> (-53/39,-72/53) Hyperbolic Matrix(631,1190,-482,-909) (-17/9,-15/8) -> (-55/42,-17/13) Hyperbolic Matrix(1609,3010,-936,-1751) (-15/8,-28/15) -> (-98/57,-55/32) Hyperbolic Matrix(489,910,338,629) (-28/15,-13/7) -> (13/9,42/29) Hyperbolic Matrix(491,910,416,771) (-13/7,-37/20) -> (33/28,13/11) Hyperbolic Matrix(2309,4270,1400,2589) (-37/20,-61/33) -> (61/37,33/20) Hyperbolic Matrix(1819,3360,530,979) (-61/33,-24/13) -> (24/7,79/23) Hyperbolic Matrix(911,1680,494,911) (-24/13,-35/19) -> (35/19,24/13) Hyperbolic Matrix(419,770,228,419) (-35/19,-11/6) -> (11/6,35/19) Hyperbolic Matrix(2799,5110,2300,4199) (-42/23,-73/40) -> (73/60,28/23) Hyperbolic Matrix(3569,6510,-2188,-3991) (-73/40,-31/17) -> (-31/19,-137/84) Hyperbolic Matrix(1191,2170,500,911) (-31/17,-20/11) -> (50/21,31/13) Hyperbolic Matrix(1119,2030,694,1259) (-20/11,-29/16) -> (29/18,50/31) Hyperbolic Matrix(349,630,-272,-491) (-29/16,-9/5) -> (-9/7,-41/32) Hyperbolic Matrix(1679,3010,468,839) (-9/5,-43/24) -> (43/12,61/17) Hyperbolic Matrix(979,1750,626,1119) (-34/19,-25/14) -> (25/16,36/23) Hyperbolic Matrix(981,1750,236,421) (-25/14,-66/37) -> (4/1,25/6) Hyperbolic Matrix(2591,4620,982,1751) (-66/37,-41/23) -> (29/11,66/25) Hyperbolic Matrix(629,1120,196,349) (-41/23,-16/9) -> (16/5,29/9) Hyperbolic Matrix(1261,2240,-1024,-1819) (-16/9,-71/40) -> (-69/56,-16/13) Hyperbolic Matrix(2801,4970,2052,3641) (-71/40,-55/31) -> (15/11,71/52) Hyperbolic Matrix(2171,3850,1540,2731) (-55/31,-39/22) -> (31/22,55/39) Hyperbolic Matrix(11059,19600,4818,8539) (-39/22,-140/79) -> (140/61,101/44) Hyperbolic Matrix(11061,19600,4820,8541) (-140/79,-101/57) -> (39/17,140/61) Hyperbolic Matrix(909,1610,118,209) (-62/35,-23/13) -> (23/3,8/1) Hyperbolic Matrix(911,1610,-752,-1329) (-23/13,-30/17) -> (-40/33,-23/19) Hyperbolic Matrix(279,490,-160,-281) (-30/17,-7/4) -> (-7/4,-40/23) Parabolic Matrix(5879,10220,3704,6439) (-40/23,-73/42) -> (73/46,100/63) Hyperbolic Matrix(8539,14840,1530,2659) (-73/42,-106/61) -> (106/19,67/12) Hyperbolic Matrix(39479,68600,11118,19319) (-106/61,-245/141) -> (245/69,174/49) Hyperbolic Matrix(29611,51450,8340,14491) (-245/141,-139/80) -> (71/20,245/69) Hyperbolic Matrix(1049,1820,766,1329) (-33/19,-26/15) -> (26/19,37/27) Hyperbolic Matrix(2869,4970,848,1469) (-26/15,-71/41) -> (71/21,44/13) Hyperbolic Matrix(14351,24850,5458,9451) (-71/41,-187/108) -> (163/62,71/27) Hyperbolic Matrix(138669,240100,58580,101429) (-187/108,-490/283) -> (490/207,303/128) Hyperbolic Matrix(138671,240100,58582,101431) (-490/283,-303/175) -> (187/79,490/207) Hyperbolic Matrix(2871,4970,688,1191) (-116/67,-45/26) -> (25/6,46/11) Hyperbolic Matrix(2589,4480,1658,2869) (-45/26,-64/37) -> (64/41,25/16) Hyperbolic Matrix(1541,2660,-1216,-2099) (-19/11,-69/40) -> (-71/56,-19/15) Hyperbolic Matrix(4059,7000,2516,4339) (-69/40,-50/29) -> (50/31,71/44) Hyperbolic Matrix(1259,2170,568,979) (-50/29,-31/18) -> (31/14,20/9) Hyperbolic Matrix(3781,6510,2196,3781) (-31/18,-105/61) -> (105/61,31/18) Hyperbolic Matrix(9029,15540,5246,9029) (-105/61,-74/43) -> (74/43,105/61) Hyperbolic Matrix(1261,2170,326,561) (-74/43,-43/25) -> (27/7,4/1) Hyperbolic Matrix(3989,6860,2808,4829) (-43/25,-98/57) -> (98/69,27/19) Hyperbolic Matrix(5459,9380,3340,5739) (-55/32,-67/39) -> (67/41,85/52) Hyperbolic Matrix(6441,11060,-4076,-6999) (-67/39,-12/7) -> (-128/81,-207/131) Hyperbolic Matrix(2869,4900,1188,2029) (-41/24,-70/41) -> (70/29,29/12) Hyperbolic Matrix(2871,4900,1190,2031) (-70/41,-29/17) -> (41/17,70/29) Hyperbolic Matrix(699,1190,-494,-841) (-29/17,-17/10) -> (-17/12,-41/29) Hyperbolic Matrix(701,1190,248,421) (-17/10,-39/23) -> (31/11,17/6) Hyperbolic Matrix(909,1540,206,349) (-39/23,-22/13) -> (22/5,31/7) Hyperbolic Matrix(2941,4970,-1822,-3079) (-22/13,-49/29) -> (-21/13,-92/57) Hyperbolic Matrix(3149,5320,-1948,-3291) (-49/29,-27/16) -> (-97/60,-21/13) Hyperbolic Matrix(1121,1890,914,1541) (-27/16,-32/19) -> (38/31,27/22) Hyperbolic Matrix(209,350,-126,-211) (-32/19,-5/3) -> (-5/3,-38/23) Parabolic Matrix(3009,4970,-2162,-3571) (-38/23,-33/20) -> (-103/74,-32/23) Hyperbolic Matrix(2589,4270,1400,2309) (-33/20,-61/37) -> (61/33,37/20) Hyperbolic Matrix(2379,3920,934,1539) (-61/37,-28/17) -> (28/11,79/31) Hyperbolic Matrix(2381,3920,936,1541) (-28/17,-79/48) -> (61/24,28/11) Hyperbolic Matrix(1191,1960,1064,1751) (-79/48,-51/31) -> (19/17,9/8) Hyperbolic Matrix(769,1260,-556,-911) (-23/14,-18/11) -> (-18/13,-47/34) Hyperbolic Matrix(3639,5950,770,1259) (-18/11,-85/52) -> (85/18,52/11) Hyperbolic Matrix(5739,9380,3340,5459) (-85/52,-67/41) -> (67/39,55/32) Hyperbolic Matrix(2871,4690,2186,3571) (-116/71,-49/30) -> (21/16,46/35) Hyperbolic Matrix(3429,5600,2614,4269) (-49/30,-129/79) -> (59/45,21/16) Hyperbolic Matrix(1329,2170,128,209) (-129/79,-80/49) -> (10/1,11/1) Hyperbolic Matrix(2101,3430,-1886,-3079) (-80/49,-111/68) -> (-29/26,-10/9) Hyperbolic Matrix(14281,23310,-10292,-16799) (-111/68,-31/19) -> (-179/129,-111/80) Hyperbolic Matrix(13091,21350,7426,12111) (-137/84,-106/65) -> (104/59,67/38) Hyperbolic Matrix(9659,15750,5666,9239) (-106/65,-75/46) -> (75/44,104/61) Hyperbolic Matrix(1331,2170,1074,1751) (-75/46,-44/27) -> (26/21,5/4) Hyperbolic Matrix(3009,4900,1160,1889) (-57/35,-70/43) -> (70/27,13/5) Hyperbolic Matrix(3011,4900,1162,1891) (-70/43,-13/8) -> (57/22,70/27) Hyperbolic Matrix(5529,8960,1684,2729) (-47/29,-175/108) -> (105/32,23/7) Hyperbolic Matrix(17151,27790,5228,8471) (-175/108,-128/79) -> (82/25,105/32) Hyperbolic Matrix(1469,2380,-1340,-2171) (-128/79,-81/50) -> (-11/10,-12/11) Hyperbolic Matrix(1471,2380,390,631) (-34/21,-55/34) -> (15/4,34/9) Hyperbolic Matrix(7141,11550,2078,3361) (-55/34,-131/81) -> (79/23,55/16) Hyperbolic Matrix(26879,43470,9868,15959) (-131/81,-207/128) -> (207/76,79/29) Hyperbolic Matrix(148469,240100,56660,91629) (-207/128,-490/303) -> (490/187,283/108) Hyperbolic Matrix(148471,240100,56662,91631) (-490/303,-283/175) -> (207/79,490/187) Hyperbolic Matrix(4901,7910,1562,2521) (-92/57,-163/101) -> (47/15,22/7) Hyperbolic Matrix(15399,24850,6506,10499) (-163/101,-71/44) -> (71/30,187/79) Hyperbolic Matrix(4339,7000,2516,4059) (-71/44,-50/31) -> (50/29,69/40) Hyperbolic Matrix(1259,2030,694,1119) (-50/31,-29/18) -> (29/16,20/11) Hyperbolic Matrix(2869,4620,1260,2029) (-29/18,-66/41) -> (66/29,41/18) Hyperbolic Matrix(12179,19600,4610,7419) (-103/64,-140/87) -> (140/53,37/14) Hyperbolic Matrix(12181,19600,4612,7421) (-140/87,-37/23) -> (103/39,140/53) Hyperbolic Matrix(3221,5180,610,981) (-37/23,-82/51) -> (58/11,37/7) Hyperbolic Matrix(3571,5740,2570,4131) (-82/51,-45/28) -> (25/18,82/59) Hyperbolic Matrix(349,560,-306,-491) (-45/28,-8/5) -> (-8/7,-25/22) Hyperbolic Matrix(351,560,220,351) (-8/5,-35/22) -> (35/22,8/5) Hyperbolic Matrix(1189,1890,748,1189) (-35/22,-27/17) -> (27/17,35/22) Hyperbolic Matrix(3219,5110,-2470,-3921) (-27/17,-73/46) -> (-73/56,-43/33) Hyperbolic Matrix(4059,6440,970,1539) (-119/75,-46/29) -> (46/11,21/5) Hyperbolic Matrix(839,1330,176,279) (-46/29,-19/12) -> (19/4,24/5) Hyperbolic Matrix(1681,2660,-1238,-1959) (-19/12,-68/43) -> (-72/53,-19/14) Hyperbolic Matrix(9031,14280,2524,3991) (-68/43,-117/74) -> (93/26,68/19) Hyperbolic Matrix(3011,4760,2436,3851) (-117/74,-49/31) -> (21/17,47/38) Hyperbolic Matrix(3499,5530,2834,4479) (-49/31,-128/81) -> (58/47,21/17) Hyperbolic Matrix(27511,43470,10500,16591) (-207/131,-79/50) -> (131/50,207/79) Hyperbolic Matrix(2171,3430,488,771) (-79/50,-30/19) -> (40/9,9/2) Hyperbolic Matrix(3149,4970,-2440,-3851) (-30/19,-71/45) -> (-71/55,-40/31) Hyperbolic Matrix(3151,4970,-2174,-3429) (-71/45,-41/26) -> (-29/20,-71/49) Hyperbolic Matrix(1609,2520,-1118,-1751) (-11/7,-36/23) -> (-36/25,-59/41) Hyperbolic Matrix(1119,1750,626,979) (-36/23,-25/16) -> (25/14,34/19) Hyperbolic Matrix(1121,1750,180,281) (-25/16,-64/41) -> (6/1,25/4) Hyperbolic Matrix(5741,8960,-4036,-6299) (-64/41,-39/25) -> (-101/71,-64/45) Hyperbolic Matrix(629,980,224,349) (-39/25,-14/9) -> (14/5,31/11) Hyperbolic Matrix(631,980,226,351) (-14/9,-31/20) -> (39/14,14/5) Hyperbolic Matrix(769,1190,316,489) (-31/20,-17/11) -> (17/7,39/16) Hyperbolic Matrix(1679,2590,-1362,-2101) (-17/11,-37/24) -> (-37/30,-53/43) Hyperbolic Matrix(909,1400,772,1189) (-37/24,-20/13) -> (20/17,33/28) Hyperbolic Matrix(1049,1610,-776,-1191) (-20/13,-23/15) -> (-23/17,-50/37) Hyperbolic Matrix(1189,1820,228,349) (-23/15,-26/17) -> (26/5,47/9) Hyperbolic Matrix(1331,1960,1094,1611) (-3/2,-25/17) -> (45/37,73/60) Hyperbolic Matrix(5389,7910,2050,3009) (-47/32,-22/15) -> (92/35,163/62) Hyperbolic Matrix(1051,1540,144,211) (-22/15,-41/28) -> (29/4,22/3) Hyperbolic Matrix(909,1330,-814,-1191) (-41/28,-19/13) -> (-19/17,-29/26) Hyperbolic Matrix(911,1330,624,911) (-19/13,-35/24) -> (35/24,19/13) Hyperbolic Matrix(769,1120,528,769) (-35/24,-16/11) -> (16/11,35/24) Hyperbolic Matrix(771,1120,338,491) (-16/11,-29/20) -> (41/18,16/7) Hyperbolic Matrix(6861,9940,2030,2941) (-71/49,-42/29) -> (98/29,71/21) Hyperbolic Matrix(629,910,338,489) (-42/29,-13/9) -> (13/7,28/15) Hyperbolic Matrix(15959,22960,11482,16519) (-141/98,-82/57) -> (82/59,139/100) Hyperbolic Matrix(19319,27790,7396,10639) (-82/57,-105/73) -> (175/67,128/49) Hyperbolic Matrix(6231,8960,2386,3431) (-105/73,-23/16) -> (47/18,175/67) Hyperbolic Matrix(1121,1610,878,1261) (-23/16,-33/23) -> (37/29,23/18) Hyperbolic Matrix(489,700,146,209) (-33/23,-10/7) -> (10/3,37/11) Hyperbolic Matrix(491,700,148,211) (-10/7,-37/26) -> (33/10,10/3) Hyperbolic Matrix(19039,27090,12200,17359) (-37/26,-175/123) -> (245/157,103/66) Hyperbolic Matrix(41231,58660,26422,37591) (-175/123,-138/97) -> (142/91,245/157) Hyperbolic Matrix(13089,18620,8020,11409) (-138/97,-101/71) -> (31/19,142/87) Hyperbolic Matrix(3499,4970,1872,2659) (-27/19,-98/69) -> (28/15,43/23) Hyperbolic Matrix(6999,9940,2168,3079) (-98/69,-71/50) -> (71/22,42/13) Hyperbolic Matrix(3501,4970,1480,2101) (-71/50,-44/31) -> (26/11,71/30) Hyperbolic Matrix(6511,9240,4588,6511) (-44/31,-105/74) -> (105/74,44/31) Hyperbolic Matrix(9029,12810,6364,9029) (-105/74,-61/43) -> (61/43,105/74) Hyperbolic Matrix(839,1190,98,139) (-61/43,-17/12) -> (17/2,9/1) Hyperbolic Matrix(1189,1680,-942,-1331) (-41/29,-24/17) -> (-24/19,-29/23) Hyperbolic Matrix(2381,3360,1092,1541) (-24/17,-79/56) -> (61/28,24/11) Hyperbolic Matrix(8189,11550,3126,4409) (-79/56,-55/39) -> (55/21,131/50) Hyperbolic Matrix(2731,3850,1540,2171) (-55/39,-31/22) -> (39/22,55/31) Hyperbolic Matrix(349,490,-250,-351) (-31/22,-7/5) -> (-7/5,-39/28) Parabolic Matrix(7491,10430,2062,2871) (-39/28,-71/51) -> (69/19,109/30) Hyperbolic Matrix(36959,51450,15688,21839) (-71/51,-245/176) -> (245/104,139/59) Hyperbolic Matrix(49281,68600,20920,29121) (-245/176,-174/125) -> (106/45,245/104) Hyperbolic Matrix(1611,2240,1360,1891) (-32/23,-57/41) -> (13/11,32/27) Hyperbolic Matrix(4129,5740,956,1329) (-57/41,-139/100) -> (69/16,13/3) Hyperbolic Matrix(1259,1750,100,139) (-139/100,-82/59) -> (12/1,1/0) Hyperbolic Matrix(4131,5740,2570,3571) (-82/59,-25/18) -> (45/28,82/51) Hyperbolic Matrix(9379,13020,5546,7699) (-118/85,-93/67) -> (93/55,22/13) Hyperbolic Matrix(10289,14280,3782,5249) (-93/67,-68/49) -> (68/25,117/43) Hyperbolic Matrix(20229,28070,12964,17989) (-68/49,-179/129) -> (39/25,142/91) Hyperbolic Matrix(9031,12530,6610,9171) (-111/80,-43/31) -> (97/71,41/30) Hyperbolic Matrix(2171,3010,960,1331) (-43/31,-61/44) -> (9/4,43/19) Hyperbolic Matrix(14139,19600,3938,5459) (-61/44,-140/101) -> (140/39,79/22) Hyperbolic Matrix(14141,19600,3940,5461) (-140/101,-79/57) -> (61/17,140/39) Hyperbolic Matrix(2381,3290,406,561) (-76/55,-105/76) -> (35/6,6/1) Hyperbolic Matrix(2939,4060,506,699) (-105/76,-29/21) -> (29/5,35/6) Hyperbolic Matrix(9941,13720,7000,9661) (-98/71,-69/50) -> (71/50,98/69) Hyperbolic Matrix(7559,10430,2130,2939) (-69/50,-109/79) -> (39/11,71/20) Hyperbolic Matrix(3569,4900,968,1329) (-11/8,-70/51) -> (70/19,59/16) Hyperbolic Matrix(3571,4900,970,1331) (-70/51,-59/43) -> (11/3,70/19) Hyperbolic Matrix(4341,5950,920,1261) (-85/62,-37/27) -> (33/7,85/18) Hyperbolic Matrix(1329,1820,766,1049) (-37/27,-26/19) -> (26/15,33/19) Hyperbolic Matrix(2661,3640,2150,2941) (-26/19,-93/68) -> (47/38,26/21) Hyperbolic Matrix(4199,5740,-3278,-4481) (-67/49,-41/30) -> (-41/32,-73/57) Hyperbolic Matrix(9171,12530,6610,9031) (-41/30,-97/71) -> (43/31,111/80) Hyperbolic Matrix(5739,7840,4406,6019) (-97/71,-56/41) -> (56/43,43/33) Hyperbolic Matrix(15891,21700,11432,15611) (-127/93,-71/52) -> (139/100,57/41) Hyperbolic Matrix(3641,4970,2052,2801) (-71/52,-15/11) -> (55/31,71/40) Hyperbolic Matrix(1749,2380,668,909) (-15/11,-34/25) -> (34/13,55/21) Hyperbolic Matrix(14419,19600,3810,5179) (-87/64,-140/103) -> (140/37,53/14) Hyperbolic Matrix(14421,19600,3812,5181) (-140/103,-53/39) -> (87/23,140/37) Hyperbolic Matrix(981,1330,104,141) (-19/14,-61/45) -> (9/1,19/2) Hyperbolic Matrix(3151,4270,1912,2591) (-61/45,-42/31) -> (28/17,61/37) Hyperbolic Matrix(1609,2170,674,909) (-27/20,-4/3) -> (74/31,43/18) Hyperbolic Matrix(1329,1750,584,769) (-4/3,-25/19) -> (25/11,66/29) Hyperbolic Matrix(3779,4970,1596,2099) (-25/19,-46/35) -> (116/49,45/19) Hyperbolic Matrix(4901,6440,1812,2381) (-46/35,-21/16) -> (119/44,46/17) Hyperbolic Matrix(2029,2660,-1656,-2171) (-21/16,-38/29) -> (-38/31,-49/40) Hyperbolic Matrix(3221,4200,1826,2381) (-30/23,-73/56) -> (67/38,30/17) Hyperbolic Matrix(6019,7840,4406,5739) (-43/33,-56/43) -> (56/41,97/71) Hyperbolic Matrix(4411,5740,1238,1611) (-69/53,-13/10) -> (57/16,139/39) Hyperbolic Matrix(701,910,540,701) (-13/10,-35/27) -> (35/27,13/10) Hyperbolic Matrix(1189,1540,918,1189) (-35/27,-22/17) -> (22/17,35/27) Hyperbolic Matrix(1191,1540,488,631) (-22/17,-31/24) -> (39/16,22/9) Hyperbolic Matrix(3361,4340,2386,3081) (-31/24,-71/55) -> (69/49,31/22) Hyperbolic Matrix(2659,3430,976,1259) (-40/31,-9/7) -> (79/29,30/11) Hyperbolic Matrix(11479,14700,6340,8119) (-73/57,-105/82) -> (105/58,67/37) Hyperbolic Matrix(5741,7350,3172,4061) (-105/82,-32/25) -> (38/21,105/58) Hyperbolic Matrix(1259,1610,1094,1399) (-55/43,-23/18) -> (23/20,15/13) Hyperbolic Matrix(1261,1610,878,1121) (-23/18,-37/29) -> (33/23,23/16) Hyperbolic Matrix(769,980,164,209) (-37/29,-14/11) -> (14/3,33/7) Hyperbolic Matrix(771,980,166,211) (-14/11,-33/26) -> (37/8,14/3) Hyperbolic Matrix(4689,5950,1268,1609) (-33/26,-85/67) -> (85/23,37/10) Hyperbolic Matrix(4691,5950,1822,2311) (-85/67,-52/41) -> (18/7,85/33) Hyperbolic Matrix(22189,28140,12860,16309) (-52/41,-175/138) -> (245/142,88/51) Hyperbolic Matrix(45431,57610,26332,33391) (-175/138,-123/97) -> (157/91,245/142) Hyperbolic Matrix(11759,14910,6624,8399) (-123/97,-71/56) -> (71/40,87/49) Hyperbolic Matrix(1051,1330,388,491) (-19/15,-24/19) -> (46/17,19/7) Hyperbolic Matrix(1611,2030,-1388,-1749) (-29/23,-34/27) -> (-36/31,-29/25) Hyperbolic Matrix(2449,3080,1502,1889) (-34/27,-5/4) -> (75/46,106/65) Hyperbolic Matrix(1751,2170,1074,1331) (-5/4,-26/21) -> (44/27,75/46) Hyperbolic Matrix(1471,1820,510,631) (-26/21,-47/38) -> (23/8,26/9) Hyperbolic Matrix(3851,4760,2436,3011) (-47/38,-21/17) -> (49/31,117/74) Hyperbolic Matrix(4479,5530,2834,3499) (-21/17,-58/47) -> (128/81,49/31) Hyperbolic Matrix(4199,5180,1588,1959) (-58/47,-37/30) -> (37/14,82/31) Hyperbolic Matrix(11759,14490,6816,8399) (-53/43,-69/56) -> (69/40,157/91) Hyperbolic Matrix(3989,4900,740,909) (-43/35,-70/57) -> (70/13,27/5) Hyperbolic Matrix(3991,4900,742,911) (-70/57,-27/22) -> (43/8,70/13) Hyperbolic Matrix(1541,1890,914,1121) (-27/22,-38/31) -> (32/19,27/16) Hyperbolic Matrix(5601,6860,3430,4201) (-49/40,-11/9) -> (129/79,49/30) Hyperbolic Matrix(12181,14840,5172,6301) (-106/87,-67/55) -> (73/31,106/45) Hyperbolic Matrix(3219,3920,574,699) (-67/55,-28/23) -> (28/5,73/13) Hyperbolic Matrix(3221,3920,576,701) (-28/23,-73/60) -> (67/12,28/5) Hyperbolic Matrix(1611,1960,1094,1331) (-73/60,-45/37) -> (25/17,3/2) Hyperbolic Matrix(3361,4060,928,1121) (-29/24,-35/29) -> (105/29,29/8) Hyperbolic Matrix(2729,3290,754,909) (-35/29,-6/5) -> (76/21,105/29) Hyperbolic Matrix(1469,1750,528,629) (-6/5,-25/21) -> (25/9,64/23) Hyperbolic Matrix(4129,4900,648,769) (-19/16,-70/59) -> (70/11,51/8) Hyperbolic Matrix(4131,4900,650,771) (-70/59,-51/43) -> (19/3,70/11) Hyperbolic Matrix(1891,2240,1360,1611) (-32/27,-13/11) -> (57/41,32/23) Hyperbolic Matrix(771,910,416,491) (-13/11,-33/28) -> (37/20,13/7) Hyperbolic Matrix(1189,1400,772,909) (-33/28,-20/17) -> (20/13,37/24) Hyperbolic Matrix(419,490,-360,-421) (-34/29,-7/6) -> (-7/6,-36/31) Parabolic Matrix(1329,1540,422,489) (-29/25,-22/19) -> (22/7,41/13) Hyperbolic Matrix(3149,3640,2482,2869) (-37/32,-15/13) -> (85/67,33/26) Hyperbolic Matrix(1399,1610,1094,1259) (-15/13,-23/20) -> (23/18,55/43) Hyperbolic Matrix(1401,1610,610,701) (-23/20,-8/7) -> (62/27,23/10) Hyperbolic Matrix(1051,1190,310,351) (-17/15,-9/8) -> (61/18,17/5) Hyperbolic Matrix(1189,1330,312,349) (-9/8,-19/17) -> (19/5,61/16) Hyperbolic Matrix(1961,2170,760,841) (-10/9,-11/10) -> (129/50,80/31) Hyperbolic Matrix(1611,1750,452,491) (-12/11,-1/1) -> (139/39,82/23) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(1469,-1610,448,-491) (1/1,11/10) -> (59/18,141/43) Hyperbolic Matrix(3079,-3430,1886,-2101) (10/9,19/17) -> (191/117,80/49) Hyperbolic Matrix(1049,-1190,186,-211) (17/15,8/7) -> (62/11,17/3) Hyperbolic Matrix(2239,-2590,606,-701) (15/13,22/19) -> (48/13,85/23) Hyperbolic Matrix(2591,-3010,1144,-1329) (29/25,7/6) -> (77/34,111/49) Hyperbolic Matrix(2029,-2380,896,-1051) (7/6,27/23) -> (43/19,77/34) Hyperbolic Matrix(1609,-1890,418,-491) (27/23,20/17) -> (50/13,27/7) Hyperbolic Matrix(1889,-2240,296,-351) (32/27,19/16) -> (51/8,32/5) Hyperbolic Matrix(1119,-1330,472,-561) (19/16,6/5) -> (64/27,19/8) Hyperbolic Matrix(1679,-2030,464,-561) (6/5,23/19) -> (47/13,76/21) Hyperbolic Matrix(981,-1190,230,-279) (23/19,17/14) -> (17/4,47/11) Hyperbolic Matrix(979,-1190,116,-141) (17/14,45/37) -> (25/3,17/2) Hyperbolic Matrix(631,-770,286,-349) (28/23,11/9) -> (11/5,42/19) Hyperbolic Matrix(2171,-2660,1656,-2029) (11/9,38/31) -> (38/29,59/45) Hyperbolic Matrix(911,-1120,170,-209) (27/22,16/13) -> (16/3,43/8) Hyperbolic Matrix(2101,-2590,1362,-1679) (16/13,37/30) -> (37/24,54/35) Hyperbolic Matrix(1609,-2030,944,-1191) (5/4,24/19) -> (46/27,75/44) Hyperbolic Matrix(2099,-2660,1216,-1541) (19/15,52/41) -> (88/51,19/11) Hyperbolic Matrix(3009,-3850,712,-911) (55/43,32/25) -> (38/9,55/13) Hyperbolic Matrix(491,-630,272,-349) (32/25,9/7) -> (9/5,38/21) Hyperbolic Matrix(4339,-5600,1194,-1541) (40/31,31/24) -> (109/30,40/11) Hyperbolic Matrix(6021,-7840,1612,-2099) (13/10,56/43) -> (56/15,127/34) Hyperbolic Matrix(3921,-5110,2470,-3219) (43/33,30/23) -> (100/63,27/17) Hyperbolic Matrix(911,-1190,160,-209) (30/23,17/13) -> (17/3,40/7) Hyperbolic Matrix(2939,-3850,642,-841) (17/13,38/29) -> (32/7,87/19) Hyperbolic Matrix(1399,-1890,208,-281) (27/20,23/17) -> (47/7,27/4) Hyperbolic Matrix(1189,-1610,466,-631) (23/17,19/14) -> (51/20,23/9) Hyperbolic Matrix(979,-1330,516,-701) (19/14,53/39) -> (17/9,19/10) Hyperbolic Matrix(3501,-4760,926,-1259) (53/39,34/25) -> (34/9,87/23) Hyperbolic Matrix(5741,-7840,1332,-1819) (71/52,56/41) -> (56/13,69/16) Hyperbolic Matrix(3431,-4690,1894,-2589) (41/30,67/49) -> (67/37,29/16) Hyperbolic Matrix(1331,-1820,460,-629) (67/49,26/19) -> (26/9,3/1) Hyperbolic Matrix(1889,-2590,256,-351) (37/27,48/35) -> (22/3,37/5) Hyperbolic Matrix(2449,-3360,664,-911) (48/35,11/8) -> (59/16,48/13) Hyperbolic Matrix(559,-770,204,-281) (11/8,29/21) -> (41/15,11/4) Hyperbolic Matrix(911,-1260,556,-769) (29/21,18/13) -> (18/11,41/25) Hyperbolic Matrix(1819,-2520,506,-701) (18/13,61/44) -> (79/22,18/5) Hyperbolic Matrix(16799,-23310,10292,-14281) (111/80,68/49) -> (142/87,111/68) Hyperbolic Matrix(2521,-3500,806,-1119) (93/67,25/18) -> (25/8,47/15) Hyperbolic Matrix(351,-490,250,-349) (32/23,7/5) -> (7/5,38/27) Parabolic Matrix(3431,-4830,2038,-2869) (38/27,69/49) -> (69/41,32/19) Hyperbolic Matrix(841,-1190,494,-699) (24/17,17/12) -> (17/10,46/27) Hyperbolic Matrix(5809,-8260,2216,-3151) (27/19,64/45) -> (76/29,97/37) Hyperbolic Matrix(6299,-8960,4036,-5741) (64/45,37/26) -> (103/66,64/41) Hyperbolic Matrix(631,-910,242,-349) (23/16,13/9) -> (13/5,47/18) Hyperbolic Matrix(2801,-4060,772,-1119) (42/29,29/20) -> (29/8,98/27) Hyperbolic Matrix(6791,-9940,4160,-6089) (19/13,41/28) -> (111/68,191/117) Hyperbolic Matrix(2381,-3500,666,-979) (22/15,25/17) -> (25/7,118/33) Hyperbolic Matrix(1191,-1820,320,-489) (3/2,23/15) -> (93/25,67/18) Hyperbolic Matrix(911,-1400,136,-209) (23/15,20/13) -> (20/3,47/7) Hyperbolic Matrix(3221,-4970,1814,-2799) (54/35,17/11) -> (87/49,16/9) Hyperbolic Matrix(2101,-3290,804,-1259) (36/23,11/7) -> (81/31,34/13) Hyperbolic Matrix(489,-770,134,-211) (11/7,30/19) -> (40/11,11/3) Hyperbolic Matrix(6999,-11060,4076,-6441) (79/50,128/81) -> (12/7,79/46) Hyperbolic Matrix(841,-1330,442,-699) (68/43,19/12) -> (19/10,2/1) Hyperbolic Matrix(7279,-11550,2824,-4481) (46/29,73/46) -> (67/26,116/45) Hyperbolic Matrix(1961,-3150,348,-559) (8/5,45/28) -> (45/8,62/11) Hyperbolic Matrix(5741,-9240,2174,-3499) (37/23,66/41) -> (66/25,103/39) Hyperbolic Matrix(3079,-4970,1822,-2941) (71/44,21/13) -> (49/29,71/42) Hyperbolic Matrix(5109,-8260,1516,-2451) (21/13,76/47) -> (64/19,91/27) Hyperbolic Matrix(23029,-37240,8788,-14211) (76/47,207/128) -> (283/108,76/29) Hyperbolic Matrix(561,-910,172,-279) (34/21,13/8) -> (13/4,36/11) Hyperbolic Matrix(1891,-3080,730,-1189) (13/8,44/27) -> (44/17,57/22) Hyperbolic Matrix(4549,-7420,816,-1331) (106/65,31/19) -> (39/7,106/19) Hyperbolic Matrix(7069,-11550,2614,-4271) (49/30,67/41) -> (73/27,119/44) Hyperbolic Matrix(981,-1610,170,-279) (41/25,23/14) -> (23/4,29/5) Hyperbolic Matrix(979,-1610,256,-421) (23/14,28/17) -> (42/11,23/6) Hyperbolic Matrix(211,-350,126,-209) (33/20,5/3) -> (5/3,37/22) Parabolic Matrix(4411,-7420,1872,-3149) (37/22,69/41) -> (139/59,33/14) Hyperbolic Matrix(2239,-3780,664,-1121) (27/16,49/29) -> (91/27,27/8) Hyperbolic Matrix(7349,-12530,3244,-5531) (104/61,29/17) -> (111/49,34/15) Hyperbolic Matrix(491,-840,204,-349) (29/17,12/7) -> (12/5,41/17) Hyperbolic Matrix(1751,-3010,936,-1609) (55/32,43/25) -> (43/23,15/8) Hyperbolic Matrix(769,-1330,122,-211) (19/11,45/26) -> (25/4,19/3) Hyperbolic Matrix(32829,-56840,13868,-24011) (116/67,187/108) -> (303/128,116/49) Hyperbolic Matrix(281,-490,160,-279) (33/19,7/4) -> (7/4,37/21) Parabolic Matrix(9731,-17150,2740,-4829) (37/21,104/59) -> (174/49,103/29) Hyperbolic Matrix(1189,-2100,278,-491) (30/17,23/13) -> (47/11,30/7) Hyperbolic Matrix(4899,-8680,2134,-3781) (62/35,39/22) -> (101/44,62/27) Hyperbolic Matrix(1329,-2380,196,-351) (34/19,43/24) -> (27/4,34/5) Hyperbolic Matrix(421,-770,76,-139) (31/17,11/6) -> (11/2,39/7) Hyperbolic Matrix(1191,-2240,260,-489) (15/8,17/9) -> (87/19,55/12) Hyperbolic Matrix(629,-1330,166,-351) (2/1,17/8) -> (53/14,72/19) Hyperbolic Matrix(559,-1190,132,-281) (17/8,15/7) -> (55/13,17/4) Hyperbolic Matrix(1401,-3010,586,-1259) (15/7,28/13) -> (98/41,55/23) Hyperbolic Matrix(2941,-6510,1138,-2519) (73/33,31/14) -> (31/12,137/53) Hyperbolic Matrix(281,-630,62,-139) (29/13,9/4) -> (9/2,41/9) Hyperbolic Matrix(979,-2240,184,-421) (16/7,71/31) -> (69/13,16/3) Hyperbolic Matrix(699,-1610,122,-281) (23/10,30/13) -> (40/7,23/4) Hyperbolic Matrix(211,-490,90,-209) (30/13,7/3) -> (7/3,40/17) Parabolic Matrix(1119,-2660,236,-561) (19/8,69/29) -> (71/15,19/4) Hyperbolic Matrix(4619,-11060,1696,-4061) (67/28,12/5) -> (128/47,207/76) Hyperbolic Matrix(491,-1190,144,-349) (29/12,17/7) -> (17/5,41/12) Hyperbolic Matrix(2029,-4970,772,-1891) (22/9,49/20) -> (21/8,92/35) Hyperbolic Matrix(2171,-5320,828,-2029) (49/20,27/11) -> (97/37,21/8) Hyperbolic Matrix(141,-350,56,-139) (32/13,5/2) -> (5/2,38/15) Parabolic Matrix(1961,-4970,552,-1399) (38/15,33/13) -> (103/29,32/9) Hyperbolic Matrix(491,-1260,136,-349) (23/9,18/7) -> (18/5,47/13) Hyperbolic Matrix(1329,-3430,136,-351) (80/31,111/43) -> (29/3,10/1) Hyperbolic Matrix(9029,-23310,2522,-6511) (111/43,31/12) -> (179/50,111/31) Hyperbolic Matrix(911,-2380,80,-209) (128/49,81/31) -> (11/1,12/1) Hyperbolic Matrix(211,-560,26,-69) (45/17,8/3) -> (8/1,25/3) Hyperbolic Matrix(1891,-5110,440,-1189) (27/10,73/27) -> (73/17,43/10) Hyperbolic Matrix(979,-2660,258,-701) (19/7,68/25) -> (72/19,19/5) Hyperbolic Matrix(1821,-4970,410,-1119) (30/11,71/26) -> (71/16,40/9) Hyperbolic Matrix(1819,-4970,564,-1541) (71/26,41/15) -> (29/9,71/22) Hyperbolic Matrix(911,-2520,278,-769) (11/4,36/13) -> (36/11,59/18) Hyperbolic Matrix(3219,-8960,956,-2661) (64/23,39/14) -> (101/30,64/19) Hyperbolic Matrix(911,-2590,172,-489) (17/6,37/13) -> (37/7,53/10) Hyperbolic Matrix(561,-1610,146,-419) (20/7,23/8) -> (23/6,50/13) Hyperbolic Matrix(421,-1330,44,-139) (41/13,19/6) -> (19/2,29/3) Hyperbolic Matrix(491,-1680,102,-349) (41/12,24/7) -> (24/5,29/6) Hyperbolic Matrix(141,-490,40,-139) (31/9,7/2) -> (7/2,39/11) Parabolic Matrix(1541,-5740,338,-1259) (67/18,41/11) -> (41/9,73/16) Hyperbolic Matrix(631,-2660,116,-489) (21/5,38/9) -> (38/7,49/9) Hyperbolic Matrix(419,-2030,58,-281) (29/6,34/7) -> (36/5,29/4) Hyperbolic Matrix(71,-490,10,-69) (34/5,7/1) -> (7/1,36/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(141,1610,-98,-1119) -> Matrix(3,2,4,3) Matrix(209,2170,128,1329) -> Matrix(1,0,0,1) Matrix(351,3430,-136,-1329) -> Matrix(1,0,0,1) Matrix(209,1960,82,769) -> Matrix(1,-2,4,-7) Matrix(139,1190,98,839) -> Matrix(1,8,-2,-15) Matrix(141,1190,-116,-979) -> Matrix(1,4,2,9) Matrix(209,1610,118,909) -> Matrix(1,2,2,5) Matrix(211,1610,46,351) -> Matrix(1,4,0,1) Matrix(351,2590,-256,-1889) -> Matrix(1,2,-2,-3) Matrix(211,1540,144,1051) -> Matrix(1,2,0,1) Matrix(419,3010,-234,-1681) -> Matrix(3,4,2,3) Matrix(351,2380,-196,-1329) -> Matrix(1,0,2,1) Matrix(281,1890,-208,-1399) -> Matrix(1,0,2,1) Matrix(211,1400,74,491) -> Matrix(1,0,2,1) Matrix(139,910,64,419) -> Matrix(1,0,-6,1) Matrix(349,2240,98,629) -> Matrix(1,0,2,1) Matrix(351,2240,-296,-1889) -> Matrix(1,2,0,1) Matrix(211,1330,-122,-769) -> Matrix(1,0,4,1) Matrix(351,2030,-254,-1469) -> Matrix(1,8,0,1) Matrix(209,1190,-160,-911) -> Matrix(1,2,2,5) Matrix(211,1190,-186,-1049) -> Matrix(1,2,2,5) Matrix(349,1960,112,629) -> Matrix(1,0,2,1) Matrix(911,5110,412,2311) -> Matrix(1,2,6,13) Matrix(139,770,-76,-421) -> Matrix(1,2,0,1) Matrix(489,2660,-116,-631) -> Matrix(3,8,-2,-5) Matrix(349,1890,142,769) -> Matrix(1,2,-2,-3) Matrix(209,1120,-170,-911) -> Matrix(1,2,0,1) Matrix(489,2590,-172,-911) -> Matrix(1,2,2,5) Matrix(981,5180,610,3221) -> Matrix(1,2,2,5) Matrix(1051,5530,386,2031) -> Matrix(9,20,4,9) Matrix(909,4760,334,1749) -> Matrix(11,20,6,11) Matrix(699,3640,188,979) -> Matrix(5,8,8,13) Matrix(419,2170,162,839) -> Matrix(1,2,0,1) Matrix(421,2030,-174,-839) -> Matrix(1,0,2,1) Matrix(279,1330,176,839) -> Matrix(1,0,-6,1) Matrix(561,2660,-236,-1119) -> Matrix(1,0,0,1) Matrix(1259,5950,770,3639) -> Matrix(1,0,2,1) Matrix(771,3640,104,491) -> Matrix(1,2,0,1) Matrix(209,980,164,769) -> Matrix(1,-2,0,1) Matrix(211,980,166,771) -> Matrix(1,-2,0,1) Matrix(349,1610,106,489) -> Matrix(1,0,0,1) Matrix(351,1610,46,211) -> Matrix(1,4,0,1) Matrix(841,3850,-642,-2939) -> Matrix(1,2,0,1) Matrix(139,630,-62,-281) -> Matrix(1,0,-2,1) Matrix(771,3430,488,2171) -> Matrix(1,0,-4,1) Matrix(1261,5600,-914,-4059) -> Matrix(1,0,0,1) Matrix(349,1540,206,909) -> Matrix(1,0,-2,1) Matrix(351,1540,80,351) -> Matrix(1,-2,0,1) Matrix(209,910,48,209) -> Matrix(1,4,0,1) Matrix(1819,7840,-1332,-5741) -> Matrix(1,2,2,5) Matrix(1821,7840,488,2101) -> Matrix(1,2,2,5) Matrix(1189,5110,-440,-1891) -> Matrix(5,4,-4,-3) Matrix(279,1190,-230,-981) -> Matrix(1,0,2,1) Matrix(911,3850,-712,-3009) -> Matrix(1,4,0,1) Matrix(1331,5600,516,2171) -> Matrix(3,4,2,3) Matrix(1119,4690,434,1819) -> Matrix(3,2,4,3) Matrix(1191,4970,688,2871) -> Matrix(1,0,-4,1) Matrix(421,1750,236,981) -> Matrix(1,2,0,1) Matrix(561,2170,326,1261) -> Matrix(11,10,-32,-29) Matrix(491,1890,-418,-1609) -> Matrix(17,14,6,5) Matrix(421,1610,-256,-979) -> Matrix(3,2,4,3) Matrix(351,1330,-166,-629) -> Matrix(3,2,-2,-1) Matrix(1259,4760,-926,-3501) -> Matrix(3,2,-2,-1) Matrix(631,2380,390,1471) -> Matrix(1,0,2,1) Matrix(1329,4970,580,2169) -> Matrix(1,0,4,1) Matrix(2099,7840,-1612,-6021) -> Matrix(7,2,10,3) Matrix(2101,7840,488,1821) -> Matrix(5,2,2,1) Matrix(3359,12530,938,3499) -> Matrix(1,0,6,1) Matrix(1259,4690,-564,-2101) -> Matrix(1,2,-4,-7) Matrix(489,1820,-320,-1191) -> Matrix(5,4,6,5) Matrix(491,1820,208,771) -> Matrix(1,0,2,1) Matrix(701,2590,-606,-2239) -> Matrix(1,0,2,1) Matrix(911,3360,-664,-2449) -> Matrix(1,0,2,1) Matrix(211,770,-134,-489) -> Matrix(1,0,4,1) Matrix(349,1260,-136,-491) -> Matrix(3,2,-8,-5) Matrix(701,2520,-506,-1819) -> Matrix(5,2,2,1) Matrix(839,3010,468,1679) -> Matrix(1,0,2,1) Matrix(3499,12530,938,3359) -> Matrix(1,0,6,1) Matrix(6511,23310,-2522,-9029) -> Matrix(1,0,8,1) Matrix(3991,14280,2524,9031) -> Matrix(1,0,-6,1) Matrix(979,3500,-666,-2381) -> Matrix(1,0,0,1) Matrix(1609,5740,608,2169) -> Matrix(3,2,4,3) Matrix(6441,22960,1964,7001) -> Matrix(29,14,2,1) Matrix(6089,21700,1630,5809) -> Matrix(5,2,12,5) Matrix(629,2240,98,349) -> Matrix(1,0,2,1) Matrix(139,490,-40,-141) -> Matrix(1,0,2,1) Matrix(1399,4830,-568,-1961) -> Matrix(1,0,2,1) Matrix(1259,4340,284,979) -> Matrix(1,0,0,1) Matrix(1119,3850,488,1679) -> Matrix(1,0,2,1) Matrix(3361,11550,2078,7141) -> Matrix(1,2,0,1) Matrix(979,3360,530,1819) -> Matrix(1,2,-2,-3) Matrix(349,1190,-144,-491) -> Matrix(1,0,0,1) Matrix(351,1190,310,1051) -> Matrix(1,2,-2,-3) Matrix(3781,12810,1116,3781) -> Matrix(9,10,8,9) Matrix(2729,9240,806,2729) -> Matrix(7,6,8,7) Matrix(1469,4970,848,2869) -> Matrix(3,2,-14,-9) Matrix(4059,13720,1118,3779) -> Matrix(5,2,2,1) Matrix(2031,6860,850,2871) -> Matrix(1,0,2,1) Matrix(2451,8260,-1516,-5109) -> Matrix(7,2,-4,-1) Matrix(2661,8960,-956,-3219) -> Matrix(1,0,8,1) Matrix(209,700,146,489) -> Matrix(1,0,-2,1) Matrix(211,700,148,491) -> Matrix(1,0,-2,1) Matrix(489,1610,106,349) -> Matrix(1,0,0,1) Matrix(279,910,-172,-561) -> Matrix(1,2,0,1) Matrix(281,910,130,421) -> Matrix(1,2,-4,-7) Matrix(1259,4060,-912,-2941) -> Matrix(1,2,-2,-3) Matrix(349,1120,196,629) -> Matrix(3,4,2,3) Matrix(351,1120,110,351) -> Matrix(11,12,10,11) Matrix(419,1330,132,419) -> Matrix(15,14,16,15) Matrix(3149,9940,-1220,-3851) -> Matrix(5,4,6,5) Matrix(489,1540,422,1329) -> Matrix(3,2,4,3) Matrix(1119,3500,-806,-2521) -> Matrix(11,8,4,3) Matrix(629,1960,112,349) -> Matrix(1,0,2,1) Matrix(629,1820,-460,-1331) -> Matrix(1,0,-2,1) Matrix(489,1400,-416,-1191) -> Matrix(1,2,0,1) Matrix(491,1400,74,211) -> Matrix(1,0,2,1) Matrix(1749,4970,-764,-2171) -> Matrix(1,0,-4,1) Matrix(421,1190,248,701) -> Matrix(1,0,-2,1) Matrix(349,980,224,629) -> Matrix(1,0,-2,1) Matrix(351,980,226,631) -> Matrix(1,0,-2,1) Matrix(10081,28070,2816,7841) -> Matrix(1,0,14,1) Matrix(21069,58660,6260,17429) -> Matrix(1,0,46,1) Matrix(9731,27090,2892,8051) -> Matrix(1,0,-20,1) Matrix(1611,4480,680,1891) -> Matrix(1,0,-2,1) Matrix(631,1750,278,771) -> Matrix(1,-2,2,-3) Matrix(1189,3290,-734,-2031) -> Matrix(1,-4,0,1) Matrix(281,770,-204,-559) -> Matrix(1,2,0,1) Matrix(1259,3430,976,2659) -> Matrix(5,14,-4,-11) Matrix(4061,11060,-1696,-4619) -> Matrix(1,2,2,5) Matrix(2031,5530,386,1051) -> Matrix(9,20,4,9) Matrix(1749,4760,334,909) -> Matrix(11,20,6,11) Matrix(5249,14280,3782,10289) -> Matrix(5,8,-2,-3) Matrix(489,1330,-232,-631) -> Matrix(1,2,-2,-3) Matrix(491,1330,388,1051) -> Matrix(1,2,-2,-3) Matrix(4271,11550,-2614,-7069) -> Matrix(3,4,-4,-5) Matrix(3781,10220,1606,4341) -> Matrix(13,16,4,5) Matrix(701,1890,260,701) -> Matrix(13,14,12,13) Matrix(209,560,78,209) -> Matrix(5,4,6,5) Matrix(1189,3150,-978,-2591) -> Matrix(1,0,4,1) Matrix(2169,5740,608,1609) -> Matrix(3,2,4,3) Matrix(1959,5180,1588,4199) -> Matrix(3,2,-2,-1) Matrix(3499,9240,-2174,-5741) -> Matrix(1,0,0,1) Matrix(1751,4620,982,2591) -> Matrix(1,0,2,1) Matrix(771,2030,346,911) -> Matrix(3,2,10,7) Matrix(2661,7000,1118,2941) -> Matrix(3,2,-2,-1) Matrix(1891,4970,-772,-2029) -> Matrix(7,4,12,7) Matrix(3151,8260,-2216,-5809) -> Matrix(5,2,12,5) Matrix(14211,37240,-8788,-23029) -> Matrix(1,0,2,1) Matrix(9591,25130,5584,14631) -> Matrix(1,0,0,1) Matrix(4409,11550,3126,8189) -> Matrix(31,12,-44,-17) Matrix(909,2380,668,1749) -> Matrix(1,0,2,1) Matrix(349,910,-242,-631) -> Matrix(1,0,4,1) Matrix(1189,3080,-730,-1891) -> Matrix(1,0,2,1) Matrix(839,2170,162,419) -> Matrix(1,2,0,1) Matrix(1191,3080,244,631) -> Matrix(3,2,4,3) Matrix(2871,7420,-2356,-6089) -> Matrix(5,2,12,5) Matrix(7211,18620,2142,5531) -> Matrix(1,0,14,1) Matrix(841,2170,760,1961) -> Matrix(1,-2,0,1) Matrix(2659,6860,488,1259) -> Matrix(1,4,0,1) Matrix(4481,11550,-2824,-7279) -> Matrix(3,2,28,19) Matrix(3641,9380,1522,3921) -> Matrix(3,2,-2,-1) Matrix(2311,5950,1822,4691) -> Matrix(11,6,-2,-1) Matrix(629,1610,-520,-1331) -> Matrix(13,4,16,5) Matrix(631,1610,-466,-1189) -> Matrix(1,0,4,1) Matrix(1679,4270,440,1119) -> Matrix(11,2,16,3) Matrix(1681,4270,772,1961) -> Matrix(1,0,-6,1) Matrix(139,350,-56,-141) -> Matrix(1,0,6,1) Matrix(3009,7420,-1732,-4271) -> Matrix(1,0,2,1) Matrix(769,1890,142,349) -> Matrix(3,-2,2,-1) Matrix(1541,3780,-1084,-2659) -> Matrix(1,0,0,1) Matrix(8121,19880,4690,11481) -> Matrix(3,-2,-10,7) Matrix(5321,13020,1488,3641) -> Matrix(3,-2,2,-1) Matrix(631,1540,488,1191) -> Matrix(7,-8,-6,7) Matrix(489,1190,316,769) -> Matrix(1,-2,-2,5) Matrix(6511,15750,2518,6091) -> Matrix(1,-2,2,-3) Matrix(5181,12530,-2894,-6999) -> Matrix(1,2,0,1) Matrix(349,840,-204,-491) -> Matrix(1,0,2,1) Matrix(10499,25130,6492,15539) -> Matrix(1,2,0,1) Matrix(3921,9380,1522,3641) -> Matrix(1,-2,2,-3) Matrix(1259,3010,-586,-1401) -> Matrix(1,0,2,1) Matrix(909,2170,674,1609) -> Matrix(1,0,0,1) Matrix(6511,15540,2728,6511) -> Matrix(1,0,2,1) Matrix(2729,6510,1144,2729) -> Matrix(1,0,0,1) Matrix(911,2170,500,1191) -> Matrix(1,0,0,1) Matrix(2941,7000,1118,2661) -> Matrix(1,-2,2,-3) Matrix(6091,14490,1148,2731) -> Matrix(1,4,0,1) Matrix(24219,57610,5120,12179) -> Matrix(5,6,4,5) Matrix(11831,28140,2502,5951) -> Matrix(3,2,4,3) Matrix(561,1330,-472,-1119) -> Matrix(1,2,0,1) Matrix(2099,4970,1596,3779) -> Matrix(1,-2,0,1) Matrix(24011,56840,-13868,-32829) -> Matrix(1,-2,4,-7) Matrix(8399,19880,4968,11759) -> Matrix(1,-2,-2,5) Matrix(2101,4970,1480,3501) -> Matrix(1,-4,-2,9) Matrix(771,1820,208,491) -> Matrix(1,0,2,1) Matrix(209,490,-90,-211) -> Matrix(1,2,-2,-3) Matrix(7419,17150,-5330,-12321) -> Matrix(49,26,32,17) Matrix(9239,21350,3574,8259) -> Matrix(13,6,28,13) Matrix(1819,4200,424,979) -> Matrix(5,2,2,1) Matrix(911,2100,-698,-1609) -> Matrix(3,2,4,3) Matrix(701,1610,610,1401) -> Matrix(1,0,2,1) Matrix(3781,8680,-2134,-4899) -> Matrix(1,0,0,1) Matrix(1679,3850,488,1119) -> Matrix(1,0,2,1) Matrix(2169,4970,580,1329) -> Matrix(1,0,4,1) Matrix(6511,14910,1376,3151) -> Matrix(5,2,2,1) Matrix(491,1120,338,771) -> Matrix(1,0,-2,1) Matrix(2029,4620,1260,2869) -> Matrix(1,0,2,1) Matrix(769,1750,584,1329) -> Matrix(1,0,0,1) Matrix(771,1750,278,631) -> Matrix(3,2,-2,-1) Matrix(1051,2380,-896,-2029) -> Matrix(9,4,2,1) Matrix(1331,3010,960,2171) -> Matrix(3,2,-2,-1) Matrix(3289,7350,720,1609) -> Matrix(23,8,20,7) Matrix(6581,14700,1442,3221) -> Matrix(43,14,46,15) Matrix(911,2030,346,771) -> Matrix(7,2,10,3) Matrix(979,2170,568,1259) -> Matrix(9,2,-32,-7) Matrix(349,770,-286,-631) -> Matrix(1,0,8,1) Matrix(351,770,160,351) -> Matrix(1,0,20,1) Matrix(769,1680,352,769) -> Matrix(1,0,-38,1) Matrix(1541,3360,1092,2381) -> Matrix(31,-2,-46,3) Matrix(1961,4270,772,1681) -> Matrix(1,0,-6,1) Matrix(419,910,64,139) -> Matrix(1,0,-6,1) Matrix(421,910,130,281) -> Matrix(7,-2,4,-1) Matrix(2311,4970,684,1471) -> Matrix(1,0,0,1) Matrix(1049,2240,-820,-1751) -> Matrix(1,2,0,1) Matrix(701,1330,-516,-979) -> Matrix(1,0,-2,1) Matrix(631,1190,-482,-909) -> Matrix(1,0,0,1) Matrix(1609,3010,-936,-1751) -> Matrix(7,-2,18,-5) Matrix(489,910,338,629) -> Matrix(1,0,-4,1) Matrix(491,910,416,771) -> Matrix(5,-2,-2,1) Matrix(2309,4270,1400,2589) -> Matrix(3,-2,2,-1) Matrix(1819,3360,530,979) -> Matrix(3,-2,2,-1) Matrix(911,1680,494,911) -> Matrix(5,-4,-6,5) Matrix(419,770,228,419) -> Matrix(1,-2,0,1) Matrix(2799,5110,2300,4199) -> Matrix(1,0,-2,1) Matrix(3569,6510,-2188,-3991) -> Matrix(1,0,0,1) Matrix(1191,2170,500,911) -> Matrix(1,0,0,1) Matrix(1119,2030,694,1259) -> Matrix(1,0,2,1) Matrix(349,630,-272,-491) -> Matrix(3,-2,2,-1) Matrix(1679,3010,468,839) -> Matrix(1,0,2,1) Matrix(979,1750,626,1119) -> Matrix(1,0,-2,1) Matrix(981,1750,236,421) -> Matrix(1,2,0,1) Matrix(2591,4620,982,1751) -> Matrix(1,0,2,1) Matrix(629,1120,196,349) -> Matrix(3,4,2,3) Matrix(1261,2240,-1024,-1819) -> Matrix(3,2,-2,-1) Matrix(2801,4970,2052,3641) -> Matrix(5,2,-8,-3) Matrix(2171,3850,1540,2731) -> Matrix(1,2,-2,-3) Matrix(11059,19600,4818,8539) -> Matrix(1,0,4,1) Matrix(11061,19600,4820,8541) -> Matrix(1,0,4,1) Matrix(909,1610,118,209) -> Matrix(5,2,2,1) Matrix(911,1610,-752,-1329) -> Matrix(7,2,10,3) Matrix(279,490,-160,-281) -> Matrix(1,0,10,1) Matrix(5879,10220,3704,6439) -> Matrix(1,0,-16,1) Matrix(8539,14840,1530,2659) -> Matrix(11,-2,6,-1) Matrix(39479,68600,11118,19319) -> Matrix(11,-2,6,-1) Matrix(29611,51450,8340,14491) -> Matrix(9,-2,14,-3) Matrix(1049,1820,766,1329) -> Matrix(1,0,-6,1) Matrix(2869,4970,848,1469) -> Matrix(9,-2,14,-3) Matrix(14351,24850,5458,9451) -> Matrix(9,-2,14,-3) Matrix(138669,240100,58580,101429) -> Matrix(9,-2,-4,1) Matrix(138671,240100,58582,101431) -> Matrix(9,-2,-4,1) Matrix(2871,4970,688,1191) -> Matrix(1,0,-4,1) Matrix(2589,4480,1658,2869) -> Matrix(1,0,-6,1) Matrix(1541,2660,-1216,-2099) -> Matrix(1,0,-4,1) Matrix(4059,7000,2516,4339) -> Matrix(7,-2,18,-5) Matrix(1259,2170,568,979) -> Matrix(7,-2,32,-9) Matrix(3781,6510,2196,3781) -> Matrix(31,-10,-96,31) Matrix(9029,15540,5246,9029) -> Matrix(71,-24,-210,71) Matrix(1261,2170,326,561) -> Matrix(29,-10,32,-11) Matrix(3989,6860,2808,4829) -> Matrix(11,-4,-30,11) Matrix(5459,9380,3340,5739) -> Matrix(5,-2,-2,1) Matrix(6441,11060,-4076,-6999) -> Matrix(5,-2,18,-7) Matrix(2869,4900,1188,2029) -> Matrix(1,0,-2,1) Matrix(2871,4900,1190,2031) -> Matrix(1,0,-2,1) Matrix(699,1190,-494,-841) -> Matrix(5,-2,8,-3) Matrix(701,1190,248,421) -> Matrix(1,0,-2,1) Matrix(909,1540,206,349) -> Matrix(1,0,-2,1) Matrix(2941,4970,-1822,-3079) -> Matrix(3,-2,-4,3) Matrix(3149,5320,-1948,-3291) -> Matrix(1,-2,0,1) Matrix(1121,1890,914,1541) -> Matrix(1,0,-2,1) Matrix(209,350,-126,-211) -> Matrix(3,-2,2,-1) Matrix(3009,4970,-2162,-3571) -> Matrix(3,-14,2,-9) Matrix(2589,4270,1400,2309) -> Matrix(1,2,-2,-3) Matrix(2379,3920,934,1539) -> Matrix(1,0,4,1) Matrix(2381,3920,936,1541) -> Matrix(1,0,4,1) Matrix(1191,1960,1064,1751) -> Matrix(1,-2,0,1) Matrix(769,1260,-556,-911) -> Matrix(1,2,0,1) Matrix(3639,5950,770,1259) -> Matrix(1,0,2,1) Matrix(5739,9380,3340,5459) -> Matrix(1,-2,-2,5) Matrix(2871,4690,2186,3571) -> Matrix(1,0,0,1) Matrix(3429,5600,2614,4269) -> Matrix(1,0,-2,1) Matrix(1329,2170,128,209) -> Matrix(1,0,0,1) Matrix(2101,3430,-1886,-3079) -> Matrix(1,2,0,1) Matrix(14281,23310,-10292,-16799) -> Matrix(1,2,0,1) Matrix(13091,21350,7426,12111) -> Matrix(1,0,4,1) Matrix(9659,15750,5666,9239) -> Matrix(1,0,-2,1) Matrix(1331,2170,1074,1751) -> Matrix(1,0,0,1) Matrix(3009,4900,1160,1889) -> Matrix(1,0,2,1) Matrix(3011,4900,1162,1891) -> Matrix(1,0,2,1) Matrix(5529,8960,1684,2729) -> Matrix(1,-10,0,1) Matrix(17151,27790,5228,8471) -> Matrix(1,36,0,1) Matrix(1469,2380,-1340,-2171) -> Matrix(1,10,0,1) Matrix(1471,2380,390,631) -> Matrix(1,0,2,1) Matrix(7141,11550,2078,3361) -> Matrix(1,2,0,1) Matrix(26879,43470,9868,15959) -> Matrix(5,12,2,5) Matrix(148469,240100,56660,91629) -> Matrix(1,4,2,9) Matrix(148471,240100,56662,91631) -> Matrix(1,4,2,9) Matrix(4901,7910,1562,2521) -> Matrix(5,4,6,5) Matrix(15399,24850,6506,10499) -> Matrix(7,4,-2,-1) Matrix(4339,7000,2516,4059) -> Matrix(5,2,-18,-7) Matrix(1259,2030,694,1119) -> Matrix(1,0,2,1) Matrix(2869,4620,1260,2029) -> Matrix(1,0,2,1) Matrix(12179,19600,4610,7419) -> Matrix(1,0,4,1) Matrix(12181,19600,4612,7421) -> Matrix(1,0,4,1) Matrix(3221,5180,610,981) -> Matrix(5,2,2,1) Matrix(3571,5740,2570,4131) -> Matrix(7,2,-4,-1) Matrix(349,560,-306,-491) -> Matrix(1,0,2,1) Matrix(351,560,220,351) -> Matrix(1,0,6,1) Matrix(1189,1890,748,1189) -> Matrix(1,0,-28,1) Matrix(3219,5110,-2470,-3921) -> Matrix(21,-2,32,-3) Matrix(4059,6440,970,1539) -> Matrix(1,0,-8,1) Matrix(839,1330,176,279) -> Matrix(1,0,-6,1) Matrix(1681,2660,-1238,-1959) -> Matrix(1,0,-4,1) Matrix(9031,14280,2524,3991) -> Matrix(1,0,-6,1) Matrix(3011,4760,2436,3851) -> Matrix(1,0,-6,1) Matrix(3499,5530,2834,4479) -> Matrix(9,-2,-4,1) Matrix(27511,43470,10500,16591) -> Matrix(7,-2,18,-5) Matrix(2171,3430,488,771) -> Matrix(1,0,-4,1) Matrix(3149,4970,-2440,-3851) -> Matrix(21,-4,16,-3) Matrix(3151,4970,-2174,-3429) -> Matrix(7,-2,18,-5) Matrix(1609,2520,-1118,-1751) -> Matrix(5,-2,8,-3) Matrix(1119,1750,626,979) -> Matrix(1,0,-2,1) Matrix(1121,1750,180,281) -> Matrix(1,0,-2,1) Matrix(5741,8960,-4036,-6299) -> Matrix(1,0,0,1) Matrix(629,980,224,349) -> Matrix(1,0,-2,1) Matrix(631,980,226,351) -> Matrix(1,0,-2,1) Matrix(769,1190,316,489) -> Matrix(5,-2,-2,1) Matrix(1679,2590,-1362,-2101) -> Matrix(7,-4,2,-1) Matrix(909,1400,772,1189) -> Matrix(1,0,-2,1) Matrix(1049,1610,-776,-1191) -> Matrix(3,-2,2,-1) Matrix(1189,1820,228,349) -> Matrix(17,-12,10,-7) Matrix(1331,1960,1094,1611) -> Matrix(1,0,-2,1) Matrix(5389,7910,2050,3009) -> Matrix(1,-2,2,-3) Matrix(1051,1540,144,211) -> Matrix(1,2,0,1) Matrix(909,1330,-814,-1191) -> Matrix(5,2,2,1) Matrix(911,1330,624,911) -> Matrix(1,0,8,1) Matrix(769,1120,528,769) -> Matrix(1,0,-10,1) Matrix(771,1120,338,491) -> Matrix(1,0,-2,1) Matrix(6861,9940,2030,2941) -> Matrix(1,0,0,1) Matrix(629,910,338,489) -> Matrix(1,0,-4,1) Matrix(15959,22960,11482,16519) -> Matrix(23,-18,-14,11) Matrix(19319,27790,7396,10639) -> Matrix(11,-10,32,-29) Matrix(6231,8960,2386,3431) -> Matrix(1,-2,4,-7) Matrix(1121,1610,878,1261) -> Matrix(1,-2,0,1) Matrix(489,700,146,209) -> Matrix(1,0,-2,1) Matrix(491,700,148,211) -> Matrix(1,0,-2,1) Matrix(19039,27090,12200,17359) -> Matrix(3,-2,-4,3) Matrix(41231,58660,26422,37591) -> Matrix(1,0,-2,1) Matrix(13089,18620,8020,11409) -> Matrix(1,0,-2,1) Matrix(3499,4970,1872,2659) -> Matrix(5,-2,-12,5) Matrix(6999,9940,2168,3079) -> Matrix(19,-8,12,-5) Matrix(3501,4970,1480,2101) -> Matrix(9,-4,-2,1) Matrix(6511,9240,4588,6511) -> Matrix(29,-14,-60,29) Matrix(9029,12810,6364,9029) -> Matrix(47,-24,-92,47) Matrix(839,1190,98,139) -> Matrix(15,-8,2,-1) Matrix(1189,1680,-942,-1331) -> Matrix(7,-4,2,-1) Matrix(2381,3360,1092,1541) -> Matrix(3,-2,-46,31) Matrix(8189,11550,3126,4409) -> Matrix(17,-12,44,-31) Matrix(2731,3850,1540,2171) -> Matrix(3,-2,2,-1) Matrix(349,490,-250,-351) -> Matrix(7,-6,6,-5) Matrix(7491,10430,2062,2871) -> Matrix(7,-10,-2,3) Matrix(36959,51450,15688,21839) -> Matrix(51,-76,-2,3) Matrix(49281,68600,20920,29121) -> Matrix(73,-110,2,-3) Matrix(1611,2240,1360,1891) -> Matrix(3,-4,-2,3) Matrix(4129,5740,956,1329) -> Matrix(5,-8,2,-3) Matrix(1259,1750,100,139) -> Matrix(5,-8,2,-3) Matrix(4131,5740,2570,3571) -> Matrix(1,-2,4,-7) Matrix(9379,13020,5546,7699) -> Matrix(1,-2,-2,5) Matrix(10289,14280,3782,5249) -> Matrix(3,-8,2,-5) Matrix(20229,28070,12964,17989) -> Matrix(1,-2,-2,5) Matrix(9031,12530,6610,9171) -> Matrix(1,-2,-2,5) Matrix(2171,3010,960,1331) -> Matrix(1,-2,2,-3) Matrix(14139,19600,3938,5459) -> Matrix(1,-2,2,-3) Matrix(14141,19600,3940,5461) -> Matrix(1,-2,2,-3) Matrix(2381,3290,406,561) -> Matrix(1,-10,0,1) Matrix(2939,4060,506,699) -> Matrix(1,12,0,1) Matrix(9941,13720,7000,9661) -> Matrix(1,-2,-2,5) Matrix(7559,10430,2130,2939) -> Matrix(1,0,2,1) Matrix(3569,4900,968,1329) -> Matrix(1,0,2,1) Matrix(3571,4900,970,1331) -> Matrix(1,0,2,1) Matrix(4341,5950,920,1261) -> Matrix(1,0,2,1) Matrix(1329,1820,766,1049) -> Matrix(1,0,-6,1) Matrix(2661,3640,2150,2941) -> Matrix(1,0,0,1) Matrix(4199,5740,-3278,-4481) -> Matrix(11,-2,6,-1) Matrix(9171,12530,6610,9031) -> Matrix(5,-2,-2,1) Matrix(5739,7840,4406,6019) -> Matrix(7,-2,-10,3) Matrix(15891,21700,11432,15611) -> Matrix(1,-2,0,1) Matrix(3641,4970,2052,2801) -> Matrix(3,-2,8,-5) Matrix(1749,2380,668,909) -> Matrix(1,0,2,1) Matrix(14419,19600,3810,5179) -> Matrix(1,-2,2,-3) Matrix(14421,19600,3812,5181) -> Matrix(1,-2,2,-3) Matrix(981,1330,104,141) -> Matrix(1,-2,0,1) Matrix(3151,4270,1912,2591) -> Matrix(1,0,0,1) Matrix(1609,2170,674,909) -> Matrix(1,0,0,1) Matrix(1329,1750,584,769) -> Matrix(1,0,0,1) Matrix(3779,4970,1596,2099) -> Matrix(1,-2,0,1) Matrix(4901,6440,1812,2381) -> Matrix(5,-4,4,-3) Matrix(2029,2660,-1656,-2171) -> Matrix(1,0,-2,1) Matrix(3221,4200,1826,2381) -> Matrix(3,-2,14,-9) Matrix(6019,7840,4406,5739) -> Matrix(3,-2,-10,7) Matrix(4411,5740,1238,1611) -> Matrix(5,-4,14,-11) Matrix(701,910,540,701) -> Matrix(11,-10,-12,11) Matrix(1189,1540,918,1189) -> Matrix(21,-22,-20,21) Matrix(1191,1540,488,631) -> Matrix(7,-8,-6,7) Matrix(3361,4340,2386,3081) -> Matrix(23,-28,-32,39) Matrix(2659,3430,976,1259) -> Matrix(11,-14,4,-5) Matrix(11479,14700,6340,8119) -> Matrix(1,-2,18,-35) Matrix(5741,7350,3172,4061) -> Matrix(1,-2,-8,17) Matrix(1259,1610,1094,1399) -> Matrix(1,-2,0,1) Matrix(1261,1610,878,1121) -> Matrix(1,-2,0,1) Matrix(769,980,164,209) -> Matrix(1,-2,0,1) Matrix(771,980,166,211) -> Matrix(1,-2,0,1) Matrix(4689,5950,1268,1609) -> Matrix(1,-2,2,-3) Matrix(4691,5950,1822,2311) -> Matrix(1,-6,2,-11) Matrix(22189,28140,12860,16309) -> Matrix(1,-18,-4,73) Matrix(45431,57610,26332,33391) -> Matrix(1,36,-4,-143) Matrix(11759,14910,6624,8399) -> Matrix(1,8,2,17) Matrix(1051,1330,388,491) -> Matrix(3,-2,2,-1) Matrix(1611,2030,-1388,-1749) -> Matrix(1,-4,0,1) Matrix(2449,3080,1502,1889) -> Matrix(1,-2,0,1) Matrix(1751,2170,1074,1331) -> Matrix(1,0,0,1) Matrix(1471,1820,510,631) -> Matrix(1,0,-2,1) Matrix(3851,4760,2436,3011) -> Matrix(1,0,-6,1) Matrix(4479,5530,2834,3499) -> Matrix(1,-2,-4,9) Matrix(4199,5180,1588,1959) -> Matrix(1,-2,2,-3) Matrix(11759,14490,6816,8399) -> Matrix(1,10,-4,-39) Matrix(3989,4900,740,909) -> Matrix(1,2,0,1) Matrix(3991,4900,742,911) -> Matrix(1,2,0,1) Matrix(1541,1890,914,1121) -> Matrix(1,0,-2,1) Matrix(5601,6860,3430,4201) -> Matrix(1,0,0,1) Matrix(12181,14840,5172,6301) -> Matrix(11,-6,2,-1) Matrix(3219,3920,574,699) -> Matrix(3,-2,2,-1) Matrix(3221,3920,576,701) -> Matrix(3,-2,2,-1) Matrix(1611,1960,1094,1331) -> Matrix(1,0,-2,1) Matrix(3361,4060,928,1121) -> Matrix(13,-12,12,-11) Matrix(2729,3290,754,909) -> Matrix(11,-12,12,-13) Matrix(1469,1750,528,629) -> Matrix(1,-2,-2,5) Matrix(4129,4900,648,769) -> Matrix(1,-2,0,1) Matrix(4131,4900,650,771) -> Matrix(1,-2,0,1) Matrix(1891,2240,1360,1611) -> Matrix(3,-4,-2,3) Matrix(771,910,416,491) -> Matrix(1,-2,-2,5) Matrix(1189,1400,772,909) -> Matrix(1,0,-2,1) Matrix(419,490,-360,-421) -> Matrix(1,-6,0,1) Matrix(1329,1540,422,489) -> Matrix(3,2,4,3) Matrix(3149,3640,2482,2869) -> Matrix(1,-2,0,1) Matrix(1399,1610,1094,1259) -> Matrix(1,-2,0,1) Matrix(1401,1610,610,701) -> Matrix(1,0,2,1) Matrix(1051,1190,310,351) -> Matrix(3,-2,2,-1) Matrix(1189,1330,312,349) -> Matrix(3,-4,4,-5) Matrix(1961,2170,760,841) -> Matrix(1,-2,0,1) Matrix(1611,1750,452,491) -> Matrix(1,2,2,5) Matrix(1,0,2,1) -> Matrix(1,0,0,1) Matrix(1469,-1610,448,-491) -> Matrix(1,12,0,1) Matrix(3079,-3430,1886,-2101) -> Matrix(1,2,0,1) Matrix(1049,-1190,186,-211) -> Matrix(5,2,2,1) Matrix(2239,-2590,606,-701) -> Matrix(1,0,2,1) Matrix(2591,-3010,1144,-1329) -> Matrix(1,-2,2,-3) Matrix(2029,-2380,896,-1051) -> Matrix(1,4,2,9) Matrix(1609,-1890,418,-491) -> Matrix(5,14,6,17) Matrix(1889,-2240,296,-351) -> Matrix(1,2,0,1) Matrix(1119,-1330,472,-561) -> Matrix(1,2,0,1) Matrix(1679,-2030,464,-561) -> Matrix(7,6,8,7) Matrix(981,-1190,230,-279) -> Matrix(1,0,2,1) Matrix(979,-1190,116,-141) -> Matrix(9,4,2,1) Matrix(631,-770,286,-349) -> Matrix(1,0,8,1) Matrix(2171,-2660,1656,-2029) -> Matrix(1,0,-2,1) Matrix(911,-1120,170,-209) -> Matrix(1,2,0,1) Matrix(2101,-2590,1362,-1679) -> Matrix(1,4,-2,-7) Matrix(1609,-2030,944,-1191) -> Matrix(1,2,-2,-3) Matrix(2099,-2660,1216,-1541) -> Matrix(1,0,-4,1) Matrix(3009,-3850,712,-911) -> Matrix(1,4,0,1) Matrix(491,-630,272,-349) -> Matrix(1,2,-2,-3) Matrix(4339,-5600,1194,-1541) -> Matrix(3,4,-4,-5) Matrix(6021,-7840,1612,-2099) -> Matrix(3,2,10,7) Matrix(3921,-5110,2470,-3219) -> Matrix(3,2,-32,-21) Matrix(911,-1190,160,-209) -> Matrix(5,2,2,1) Matrix(2939,-3850,642,-841) -> Matrix(1,2,0,1) Matrix(1399,-1890,208,-281) -> Matrix(1,0,2,1) Matrix(1189,-1610,466,-631) -> Matrix(1,0,4,1) Matrix(979,-1330,516,-701) -> Matrix(1,0,-2,1) Matrix(3501,-4760,926,-1259) -> Matrix(1,-2,2,-3) Matrix(5741,-7840,1332,-1819) -> Matrix(5,2,2,1) Matrix(3431,-4690,1894,-2589) -> Matrix(1,0,4,1) Matrix(1331,-1820,460,-629) -> Matrix(1,0,-2,1) Matrix(1889,-2590,256,-351) -> Matrix(3,-2,2,-1) Matrix(2449,-3360,664,-911) -> Matrix(1,0,2,1) Matrix(559,-770,204,-281) -> Matrix(1,2,0,1) Matrix(911,-1260,556,-769) -> Matrix(1,2,0,1) Matrix(1819,-2520,506,-701) -> Matrix(1,2,2,5) Matrix(16799,-23310,10292,-14281) -> Matrix(1,2,0,1) Matrix(2521,-3500,806,-1119) -> Matrix(3,8,4,11) Matrix(351,-490,250,-349) -> Matrix(5,6,-6,-7) Matrix(3431,-4830,2038,-2869) -> Matrix(13,10,-30,-23) Matrix(841,-1190,494,-699) -> Matrix(3,2,-8,-5) Matrix(5809,-8260,2216,-3151) -> Matrix(5,2,12,5) Matrix(6299,-8960,4036,-5741) -> Matrix(1,0,0,1) Matrix(631,-910,242,-349) -> Matrix(1,0,4,1) Matrix(2801,-4060,772,-1119) -> Matrix(5,2,2,1) Matrix(6791,-9940,4160,-6089) -> Matrix(1,0,-2,1) Matrix(2381,-3500,666,-979) -> Matrix(1,0,0,1) Matrix(1191,-1820,320,-489) -> Matrix(5,4,6,5) Matrix(911,-1400,136,-209) -> Matrix(3,2,4,3) Matrix(3221,-4970,1814,-2799) -> Matrix(11,6,20,11) Matrix(2101,-3290,804,-1259) -> Matrix(5,2,12,5) Matrix(489,-770,134,-211) -> Matrix(1,0,4,1) Matrix(6999,-11060,4076,-6441) -> Matrix(7,2,-18,-5) Matrix(841,-1330,442,-699) -> Matrix(1,0,2,1) Matrix(7279,-11550,2824,-4481) -> Matrix(19,2,28,3) Matrix(1961,-3150,348,-559) -> Matrix(1,2,0,1) Matrix(5741,-9240,2174,-3499) -> Matrix(1,0,0,1) Matrix(3079,-4970,1822,-2941) -> Matrix(3,-2,-4,3) Matrix(5109,-8260,1516,-2451) -> Matrix(1,-2,4,-7) Matrix(23029,-37240,8788,-14211) -> Matrix(1,0,2,1) Matrix(561,-910,172,-279) -> Matrix(1,2,0,1) Matrix(1891,-3080,730,-1189) -> Matrix(1,0,2,1) Matrix(4549,-7420,816,-1331) -> Matrix(1,2,0,1) Matrix(7069,-11550,2614,-4271) -> Matrix(5,-4,4,-3) Matrix(981,-1610,170,-279) -> Matrix(1,6,0,1) Matrix(979,-1610,256,-421) -> Matrix(3,2,4,3) Matrix(211,-350,126,-209) -> Matrix(1,2,-2,-3) Matrix(4411,-7420,1872,-3149) -> Matrix(7,4,-2,-1) Matrix(2239,-3780,664,-1121) -> Matrix(1,0,4,1) Matrix(7349,-12530,3244,-5531) -> Matrix(1,0,4,1) Matrix(491,-840,204,-349) -> Matrix(1,0,2,1) Matrix(1751,-3010,936,-1609) -> Matrix(5,2,-18,-7) Matrix(769,-1330,122,-211) -> Matrix(1,0,4,1) Matrix(32829,-56840,13868,-24011) -> Matrix(7,2,-4,-1) Matrix(281,-490,160,-279) -> Matrix(1,0,10,1) Matrix(9731,-17150,2740,-4829) -> Matrix(1,0,-4,1) Matrix(1189,-2100,278,-491) -> Matrix(7,-2,4,-1) Matrix(4899,-8680,2134,-3781) -> Matrix(1,0,0,1) Matrix(1329,-2380,196,-351) -> Matrix(1,0,2,1) Matrix(421,-770,76,-139) -> Matrix(1,2,0,1) Matrix(1191,-2240,260,-489) -> Matrix(1,2,0,1) Matrix(629,-1330,166,-351) -> Matrix(1,-2,2,-3) Matrix(559,-1190,132,-281) -> Matrix(1,2,0,1) Matrix(1401,-3010,586,-1259) -> Matrix(1,0,2,1) Matrix(2941,-6510,1138,-2519) -> Matrix(11,-2,28,-5) Matrix(281,-630,62,-139) -> Matrix(1,0,-2,1) Matrix(979,-2240,184,-421) -> Matrix(3,-2,2,-1) Matrix(699,-1610,122,-281) -> Matrix(7,-4,2,-1) Matrix(211,-490,90,-209) -> Matrix(3,-2,2,-1) Matrix(1119,-2660,236,-561) -> Matrix(1,0,0,1) Matrix(4619,-11060,1696,-4061) -> Matrix(5,2,2,1) Matrix(491,-1190,144,-349) -> Matrix(1,0,0,1) Matrix(2029,-4970,772,-1891) -> Matrix(7,4,12,7) Matrix(2171,-5320,828,-2029) -> Matrix(5,2,12,5) Matrix(141,-350,56,-139) -> Matrix(1,0,6,1) Matrix(1961,-4970,552,-1399) -> Matrix(1,0,-2,1) Matrix(491,-1260,136,-349) -> Matrix(5,-2,8,-3) Matrix(1329,-3430,136,-351) -> Matrix(1,0,0,1) Matrix(9029,-23310,2522,-6511) -> Matrix(1,0,8,1) Matrix(911,-2380,80,-209) -> Matrix(5,-2,8,-3) Matrix(211,-560,26,-69) -> Matrix(7,-4,2,-1) Matrix(1891,-5110,440,-1189) -> Matrix(3,-4,4,-5) Matrix(979,-2660,258,-701) -> Matrix(3,-4,4,-5) Matrix(1821,-4970,410,-1119) -> Matrix(1,-2,0,1) Matrix(1819,-4970,564,-1541) -> Matrix(3,-8,2,-5) Matrix(911,-2520,278,-769) -> Matrix(1,6,0,1) Matrix(3219,-8960,956,-2661) -> Matrix(1,0,8,1) Matrix(911,-2590,172,-489) -> Matrix(5,2,2,1) Matrix(561,-1610,146,-419) -> Matrix(5,4,6,5) Matrix(421,-1330,44,-139) -> Matrix(5,-4,-6,5) Matrix(491,-1680,102,-349) -> Matrix(1,0,2,1) Matrix(141,-490,40,-139) -> Matrix(1,0,2,1) Matrix(1541,-5740,338,-1259) -> Matrix(1,-2,2,-3) Matrix(631,-2660,116,-489) -> Matrix(5,-8,2,-3) Matrix(419,-2030,58,-281) -> Matrix(7,-2,4,-1) Matrix(71,-490,10,-69) -> Matrix(5,-4,4,-3) 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): 144 Degree of the the map X: 144 Degree of the the map Y: 576 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.