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): 2520 Minimal number of generators: 421 Number of equivalence classes of cusps: 84 Genus: 169 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 1/1 29/25 29/24 29/23 87/68 29/22 29/21 145/101 29/20 3/2 87/55 29/18 145/89 29/17 29/16 2/1 15/7 29/13 116/51 116/49 29/12 5/2 116/45 145/56 290/111 377/144 29/11 87/32 58/21 3/1 29/9 145/44 58/17 7/2 203/57 290/81 18/5 29/8 290/77 58/15 4/1 29/7 21/5 232/55 116/27 13/3 9/2 87/19 116/25 14/3 19/4 24/5 29/6 5/1 26/5 21/4 58/11 16/3 27/5 11/2 28/5 17/3 23/4 29/5 6/1 25/4 19/3 13/2 33/5 20/3 27/4 7/1 29/4 22/3 15/2 23/3 8/1 17/2 9/1 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 -1/1 -9/1 1/1 -17/2 -1/1 1/0 -8/1 -1/1 -15/2 -1/2 0/1 -37/5 -1/3 -22/3 -1/5 -29/4 0/1 -7/1 1/1 -20/3 -1/1 -33/5 -1/1 -46/7 -1/1 -13/2 -1/1 1/0 -19/3 -1/1 -6/1 -1/1 -29/5 -1/1 -23/4 -1/1 -3/4 -17/3 -3/5 -11/2 -1/2 0/1 -27/5 -1/1 -16/3 -1/3 -21/4 -1/1 0/1 -5/1 -1/3 -29/6 0/1 -24/5 1/5 -19/4 0/1 1/1 -14/3 -3/1 -51/11 -1/1 -37/8 -1/1 0/1 -60/13 -1/1 -23/5 -1/1 -55/12 -9/8 -1/1 -87/19 -1/1 -32/7 -1/1 -9/2 -1/1 -1/2 -31/7 -1/3 -22/5 -1/1 -13/3 -1/1 -30/7 -1/3 -17/4 -1/1 -1/2 -21/5 -1/1 -46/11 -3/5 -25/6 -3/5 -1/2 -29/7 -1/2 -4/1 -1/3 -23/6 -1/3 -1/4 -19/5 -1/3 -34/9 -1/3 -15/4 -2/7 -1/4 -41/11 -5/23 -67/18 -3/14 -1/5 -26/7 -1/5 -63/17 -1/7 -37/10 -1/5 0/1 -11/3 -1/7 -29/8 0/1 -18/5 1/5 -61/17 1/3 -43/12 1/2 2/3 -25/7 1/1 -7/2 -1/1 0/1 -31/9 -1/1 -24/7 -3/5 -17/5 -5/11 -27/8 -3/8 -1/3 -64/19 -1/3 -101/30 -1/4 0/1 -37/11 -1/3 -10/3 -1/3 -33/10 -1/2 -1/3 -89/27 -1/3 -145/44 -2/5 0/1 -56/17 -1/3 -23/7 -1/3 -13/4 -1/2 -1/3 -29/9 -1/3 -16/5 -1/3 -19/6 -1/3 0/1 -3/1 -1/3 -23/8 -1/3 -1/4 -20/7 -1/3 -57/20 -2/7 -1/4 -37/13 -3/11 -17/6 -3/11 -1/4 -14/5 -3/13 -39/14 -1/3 0/1 -25/9 -1/3 -61/22 -3/11 -1/4 -36/13 -3/11 -11/4 -1/4 -2/9 -41/15 -1/3 -30/11 -3/13 -79/29 -1/5 -128/47 -3/13 -49/18 -1/4 -1/5 -68/25 -1/5 -87/32 -2/9 0/1 -19/7 -1/5 -27/10 -3/14 -1/5 -35/13 -1/5 -43/16 -1/6 0/1 -8/3 -1/5 -29/11 0/1 -21/8 -1/3 0/1 -97/37 -1/5 -76/29 -1/5 -55/21 -1/3 -34/13 -1/5 -13/5 -1/5 -70/27 -1/5 -57/22 -1/8 0/1 -101/39 -1/19 -145/56 0/1 -44/17 1/3 -31/12 -1/3 -1/4 -49/19 -1/3 -18/7 -1/3 -77/30 -1/5 0/1 -59/23 -1/3 -41/16 -1/4 -1/5 -23/9 -1/5 -28/11 -1/7 -61/24 -1/3 -1/4 -33/13 -1/5 -38/15 -1/5 -5/2 -1/5 0/1 -32/13 -1/7 -27/11 -1/5 -22/9 -1/7 -61/25 -1/9 -39/16 -1/9 0/1 -56/23 -1/9 -17/7 -1/13 -29/12 0/1 -12/5 1/3 -67/28 1/2 1/1 -55/23 1/1 -43/18 4/1 1/0 -74/31 -3/1 -31/13 -1/1 -19/8 -1/1 0/1 -45/19 -1/1 -26/11 -1/1 -7/3 -1/3 -37/16 -1/3 -2/7 -30/13 -1/3 -23/10 -1/3 -1/4 -39/17 -1/3 -16/7 -1/3 -73/32 -8/31 -1/4 -57/25 -1/5 -41/18 -1/3 -1/4 -66/29 -1/3 -25/11 -1/5 -59/26 -1/2 0/1 -34/15 -1/5 -9/4 -1/3 -1/4 -29/13 -1/4 -20/9 -1/5 -31/14 -1/4 -1/5 -11/5 -1/5 -13/6 -1/3 -1/4 -15/7 -5/21 -2/1 -1/5 -17/9 -7/39 -15/8 -6/35 -1/6 -28/15 -3/19 -13/7 -1/7 -24/13 -1/7 -35/19 -1/5 -46/25 -3/17 -11/6 -1/6 0/1 -31/17 -1/7 -20/11 -1/7 -29/16 0/1 -9/5 -1/5 -52/29 -1/5 -43/24 -2/11 -1/6 -34/19 -1/5 -59/33 -1/5 -25/14 -1/5 -1/6 -116/65 -1/6 -91/51 -3/19 -66/37 -1/7 -41/23 -1/5 -57/32 -1/8 0/1 -16/9 -1/5 -39/22 -1/5 0/1 -23/13 -1/5 -30/17 -1/3 -37/21 -1/5 -7/4 -1/5 -2/11 -33/19 -3/17 -59/34 -3/16 -2/11 -85/49 -7/39 -26/15 -3/17 -71/41 -3/17 -116/67 -3/17 -45/26 -3/17 -1/6 -19/11 -3/17 -31/18 -3/17 -7/40 -43/25 -21/121 -55/32 -19/110 -5/29 -122/71 -5/29 -67/39 -5/29 -12/7 -7/41 -29/17 -1/6 -17/10 -1/6 -9/55 -56/33 -7/43 -95/56 -7/43 -6/37 -39/23 -5/31 -22/13 -5/31 -27/16 -1/6 -3/19 -32/19 -3/19 -5/3 -1/7 -33/20 -1/6 -1/7 -28/17 -1/7 -23/14 -1/6 -1/7 -41/25 -1/9 -59/36 -1/6 0/1 -136/83 -1/7 -77/47 -1/5 -18/11 -1/5 -67/41 -1/5 -116/71 -1/6 -49/30 -1/6 -1/7 -31/19 -1/5 -44/27 -5/29 -145/89 -1/6 -101/62 -1/6 -14/85 -57/35 -5/31 -70/43 -1/7 -13/8 -1/6 -1/7 -47/29 -3/19 -128/79 -5/33 -209/129 -1/7 -290/179 -1/7 -81/50 -1/6 -1/7 -34/21 -1/7 -89/55 -3/19 -233/144 -13/84 -2/13 -377/233 -2/13 -144/89 -9/59 -55/34 -3/20 -1/7 -76/47 -3/19 -97/60 -2/13 -1/7 -21/13 -1/7 -29/18 -2/13 0/1 -8/5 -1/7 -35/22 -1/6 -1/7 -62/39 -1/7 -27/17 -1/7 -19/12 -1/7 0/1 -87/55 0/1 -68/43 -1/3 -49/31 -1/5 -128/81 -1/7 -79/50 -1/5 0/1 -30/19 -1/5 -11/7 -1/5 -58/37 -1/6 -47/30 -1/6 -10/61 -36/23 -5/31 -61/39 -3/19 -86/55 -3/19 -25/16 -1/6 -3/19 -14/9 -7/45 -31/20 -7/46 -5/33 -17/11 -7/47 -20/13 -1/7 -43/28 -5/34 -6/41 -23/15 -1/7 -3/2 -1/7 -1/8 -22/15 -1/7 -19/13 -1/7 -16/11 -1/7 -29/20 -2/15 0/1 -13/9 -1/7 -36/25 -1/7 -95/66 -1/7 -2/15 -59/41 -1/7 -82/57 -1/7 -23/16 -1/7 -1/8 -56/39 -1/7 -145/101 -1/7 -89/62 -1/7 -7/50 -33/23 -1/7 -43/30 -1/8 0/1 -53/37 -1/7 -10/7 -1/7 -57/40 -2/15 -1/8 -104/73 -7/53 -47/33 -1/7 -37/26 -2/15 -3/23 -101/71 -5/39 -64/45 -3/23 -27/19 -3/23 -44/31 -1/9 -17/12 -5/39 -1/8 -58/41 -1/8 -41/29 -11/89 -24/17 -3/25 -55/39 -1/9 -86/61 -1/9 -31/22 -1/8 -1/9 -38/27 -1/9 -7/5 -1/7 -32/23 -3/23 -89/64 -3/23 -1/8 -146/105 -3/23 -203/146 -2/15 -4/31 -57/41 -3/23 -25/18 -3/23 -1/8 -68/49 -3/23 -179/129 -3/23 -290/209 -3/23 -111/80 -3/23 -4/31 -43/31 -11/85 -61/44 -5/39 -11/86 -18/13 -7/55 -29/21 -1/8 -11/8 -1/8 -4/33 -48/35 -3/25 -37/27 -3/25 -26/19 -1/9 -41/30 -1/7 -1/8 -56/41 -1/9 -15/11 -5/41 -64/47 -3/25 -177/130 -25/208 -3/25 -290/213 -3/25 -113/83 -3/25 -49/36 -3/25 -5/42 -34/25 -7/59 -19/14 -2/17 -1/9 -23/17 -1/9 -27/20 -5/44 -1/9 -58/43 -1/9 -31/23 -1/9 -4/3 -1/9 -29/22 0/1 -25/19 -1/5 -46/35 -1/5 -21/16 -1/7 0/1 -59/45 -1/7 -97/74 -1/9 0/1 -232/177 0/1 -135/103 -1/5 -38/29 -1/7 -17/13 -1/9 -30/23 -3/23 -73/56 -12/95 -1/8 -116/89 -1/8 -43/33 -7/57 -13/10 -1/8 -1/9 -35/27 -1/9 -92/71 -1/11 -57/44 -1/8 0/1 -79/61 -1/9 -22/17 -1/7 -31/24 -1/8 -1/9 -9/7 -1/9 -41/32 -1/7 -1/8 -32/25 -1/9 -87/68 -2/17 0/1 -55/43 -1/9 -23/18 -1/8 -1/9 -60/47 -1/9 -97/76 -1/9 0/1 -37/29 -1/9 -51/40 -4/35 -1/9 -116/91 -1/9 -65/51 -1/9 -14/11 -1/11 -33/26 -1/8 -1/9 -85/67 -1/9 -52/41 -1/9 -19/15 -1/9 -24/19 -1/9 -29/23 -1/9 -5/4 -1/9 0/1 -26/21 -1/7 -21/17 -1/9 -58/47 0/1 -37/30 -1/7 0/1 -16/13 -1/9 -59/48 -1/12 0/1 -43/35 -1/1 -27/22 -1/7 -1/8 -11/9 -1/7 -28/23 -1/7 -17/14 -1/8 -1/9 -23/19 -1/9 -29/24 -2/17 0/1 -6/5 -1/9 -31/26 -3/26 -1/9 -25/21 -1/9 -19/16 -1/9 0/1 -13/11 -1/9 -46/39 -1/9 -33/28 -1/8 -1/9 -53/45 -1/9 -73/62 -1/8 -2/17 -20/17 -1/9 -27/23 -1/9 -7/6 -2/17 -1/9 -29/25 -1/9 -22/19 -1/9 -37/32 -1/9 -4/37 -15/13 -5/47 -53/46 -1/9 -2/19 -38/33 -1/9 -23/20 -1/9 -1/10 -8/7 -1/9 -17/15 -1/11 -9/8 -1/9 -1/10 -10/9 -1/9 -11/10 -1/10 0/1 -12/11 -3/29 -1/1 -1/11 0/1 0/1 1/1 1/11 10/9 1/9 9/8 1/10 1/9 17/15 1/11 8/7 1/9 15/13 5/47 37/32 4/37 1/9 22/19 1/9 29/25 1/9 7/6 1/9 2/17 20/17 1/9 33/28 1/9 1/8 46/39 1/9 13/11 1/9 19/16 0/1 1/9 6/5 1/9 29/24 0/1 2/17 23/19 1/9 17/14 1/9 1/8 11/9 1/7 27/22 1/8 1/7 16/13 1/9 21/17 1/9 5/4 0/1 1/9 29/23 1/9 24/19 1/9 19/15 1/9 14/11 1/11 51/40 1/9 4/35 37/29 1/9 60/47 1/9 23/18 1/9 1/8 55/43 1/9 87/68 0/1 2/17 32/25 1/9 9/7 1/9 31/24 1/9 1/8 22/17 1/7 13/10 1/9 1/8 30/23 3/23 17/13 1/9 21/16 0/1 1/7 46/35 1/5 25/19 1/5 29/22 0/1 4/3 1/9 23/17 1/9 19/14 1/9 2/17 34/25 7/59 15/11 5/41 41/30 1/8 1/7 67/49 1/9 26/19 1/9 63/46 2/17 3/25 37/27 3/25 11/8 4/33 1/8 29/21 1/8 18/13 7/55 61/44 11/86 5/39 43/31 11/85 25/18 1/8 3/23 7/5 1/7 31/22 1/9 1/8 24/17 3/25 17/12 1/8 5/39 27/19 3/23 64/45 3/23 101/71 5/39 37/26 3/23 2/15 10/7 1/7 33/23 1/7 89/62 7/50 1/7 145/101 1/7 56/39 1/7 23/16 1/8 1/7 13/9 1/7 29/20 0/1 2/15 16/11 1/7 19/13 1/7 3/2 1/8 1/7 23/15 1/7 20/13 1/7 57/37 1/7 37/24 1/7 4/27 17/11 7/47 14/9 7/45 39/25 3/19 25/16 3/19 1/6 61/39 3/19 36/23 5/31 11/7 1/5 41/26 1/7 1/6 30/19 1/5 79/50 0/1 1/5 128/81 1/7 49/31 1/5 68/43 1/3 87/55 0/1 19/12 0/1 1/7 27/17 1/7 35/22 1/7 1/6 43/27 1/9 8/5 1/7 29/18 0/1 2/13 21/13 1/7 97/60 1/7 2/13 76/47 3/19 55/34 1/7 3/20 34/21 1/7 13/8 1/7 1/6 70/43 1/7 57/35 5/31 101/62 14/85 1/6 145/89 1/6 44/27 5/29 31/19 1/5 49/30 1/7 1/6 18/11 1/5 77/47 1/5 59/36 0/1 1/6 41/25 1/9 23/14 1/7 1/6 28/17 1/7 61/37 1/7 33/20 1/7 1/6 38/23 1/7 5/3 1/7 32/19 3/19 27/16 3/19 1/6 22/13 5/31 61/36 5/31 1/6 39/23 5/31 56/33 7/43 17/10 9/55 1/6 29/17 1/6 12/7 7/41 67/39 5/29 55/32 5/29 19/110 43/25 21/121 74/43 11/63 31/18 7/40 3/17 19/11 3/17 45/26 1/6 3/17 26/15 3/17 7/4 2/11 1/5 37/21 1/5 30/17 1/3 23/13 1/5 39/22 0/1 1/5 16/9 1/5 73/41 -1/3 57/32 0/1 1/8 41/23 1/5 66/37 1/7 25/14 1/6 1/5 59/33 1/5 34/19 1/5 9/5 1/5 29/16 0/1 20/11 1/7 31/17 1/7 11/6 0/1 1/6 13/7 1/7 15/8 1/6 6/35 2/1 1/5 17/8 1/4 1/3 15/7 5/21 28/13 5/19 13/6 1/4 1/3 24/11 1/3 35/16 1/4 1/3 46/21 1/1 11/5 1/5 31/14 1/5 1/4 20/9 1/5 29/13 1/4 9/4 1/4 1/3 52/23 1/3 43/19 3/7 34/15 1/5 59/26 0/1 1/2 25/11 1/5 116/51 1/4 91/40 1/4 3/11 66/29 1/3 41/18 1/4 1/3 57/25 1/5 16/7 1/3 39/17 1/3 23/10 1/4 1/3 30/13 1/3 37/16 2/7 1/3 7/3 1/3 33/14 1/2 1/1 59/25 1/1 85/36 1/2 1/1 26/11 1/1 71/30 1/2 1/1 116/49 1/1 45/19 1/1 19/8 0/1 1/1 31/13 1/1 43/18 -4/1 1/0 55/23 -1/1 122/51 -1/1 67/28 -1/1 -1/2 12/5 -1/3 29/12 0/1 17/7 1/13 56/23 1/9 95/39 1/9 39/16 0/1 1/9 22/9 1/7 27/11 1/5 32/13 1/7 5/2 0/1 1/5 33/13 1/5 28/11 1/7 23/9 1/5 41/16 1/5 1/4 59/23 1/3 136/53 1/3 77/30 0/1 1/5 18/7 1/3 67/26 1/5 1/4 116/45 1/4 49/19 1/3 31/12 1/4 1/3 44/17 -1/3 145/56 0/1 101/39 1/19 57/22 0/1 1/8 70/27 1/5 13/5 1/5 47/18 0/1 1/4 128/49 3/11 209/80 3/10 1/3 290/111 1/3 81/31 1/3 34/13 1/5 89/34 1/4 1/3 233/89 1/3 377/144 0/1 2/7 144/55 1/3 55/21 1/3 76/29 1/5 97/37 1/5 21/8 0/1 1/3 29/11 0/1 8/3 1/5 35/13 1/5 62/23 1/5 27/10 1/5 3/14 19/7 1/5 87/32 0/1 2/9 68/25 1/5 49/18 1/5 1/4 128/47 3/13 79/29 1/5 30/11 3/13 11/4 2/9 1/4 58/21 1/4 47/17 9/35 36/13 3/11 61/22 1/4 3/11 86/31 5/17 25/9 1/3 14/5 3/13 31/11 1/3 17/6 1/4 3/11 20/7 1/3 43/15 5/17 23/8 1/4 1/3 3/1 1/3 22/7 1/1 19/6 0/1 1/3 16/5 1/3 29/9 1/3 13/4 1/3 1/2 36/11 1/1 95/29 1/3 59/18 0/1 1/2 82/25 1/5 23/7 1/3 56/17 1/3 145/44 0/1 2/5 89/27 1/3 33/10 1/3 1/2 43/13 1/5 53/16 0/1 1/3 10/3 1/3 57/17 3/7 104/31 1/1 47/14 2/5 1/2 37/11 1/3 101/30 0/1 1/4 64/19 1/3 27/8 1/3 3/8 44/13 11/27 17/5 5/11 58/17 1/2 41/12 1/2 11/21 24/7 3/5 55/16 3/5 5/8 86/25 11/17 31/9 1/1 38/11 1/1 7/2 0/1 1/1 32/9 -1/1 89/25 -1/3 146/41 -1/9 203/57 0/1 57/16 0/1 1/2 25/7 -1/1 68/19 -1/1 179/50 -1/1 0/1 290/81 -1/1 111/31 -1/1 43/12 -2/3 -1/2 61/17 -1/3 18/5 -1/5 29/8 0/1 11/3 1/7 48/13 1/7 37/10 0/1 1/5 26/7 1/5 41/11 5/23 56/15 3/13 15/4 1/4 2/7 64/17 1/3 177/47 1/3 290/77 1/3 113/30 1/3 5/14 49/13 1/3 34/9 1/3 19/5 1/3 23/6 1/4 1/3 27/7 1/3 58/15 1/3 31/8 1/3 5/14 4/1 1/3 29/7 1/2 25/6 1/2 3/5 46/11 3/5 21/5 1/1 59/14 0/1 1/2 97/23 1/1 232/55 0/1 135/32 0/1 1/5 38/9 1/3 17/4 1/2 1/1 30/7 1/3 73/17 11/23 116/27 1/2 43/10 1/2 8/15 13/3 1/1 35/8 1/2 1/1 92/21 1/1 57/13 1/1 79/18 2/3 1/1 22/5 1/1 31/7 1/3 9/2 1/2 1/1 41/9 3/5 32/7 1/1 87/19 1/1 55/12 1/1 9/8 23/5 1/1 60/13 1/1 97/21 -1/1 37/8 0/1 1/1 51/11 1/1 116/25 1/1 65/14 1/1 6/5 14/3 3/1 33/7 -1/1 85/18 -1/1 -3/4 52/11 -1/1 19/4 -1/1 0/1 24/5 -1/5 29/6 0/1 5/1 1/3 26/5 1/1 21/4 0/1 1/1 58/11 0/1 37/7 1/3 16/3 1/3 59/11 3/7 43/8 1/2 6/11 27/5 1/1 11/2 0/1 1/2 28/5 1/3 17/3 3/5 23/4 3/4 1/1 29/5 1/1 6/1 1/1 31/5 1/1 25/4 1/1 1/0 19/3 1/1 13/2 1/1 1/0 46/7 1/1 33/5 1/1 53/8 0/1 1/1 73/11 1/3 20/3 1/1 27/4 1/1 1/0 7/1 -1/1 29/4 0/1 22/3 1/5 37/5 1/3 15/2 0/1 1/2 53/7 1/1 38/5 1/1 23/3 1/1 8/1 1/1 17/2 1/1 1/0 9/1 -1/1 10/1 1/1 11/1 1/1 12/1 -1/3 1/0 0/1 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(57,580,-40,-407) (-10/1,1/0) -> (-10/7,-57/40) Hyperbolic Matrix(117,1102,74,697) (-10/1,-9/1) -> (49/31,68/43) Hyperbolic Matrix(175,1508,128,1103) (-9/1,-17/2) -> (41/30,67/49) Hyperbolic Matrix(173,1450,76,637) (-17/2,-8/1) -> (66/29,41/18) Hyperbolic Matrix(59,464,-22,-173) (-8/1,-15/2) -> (-43/16,-8/3) Hyperbolic Matrix(579,4292,172,1275) (-15/2,-37/5) -> (37/11,101/30) Hyperbolic Matrix(465,3422,142,1045) (-37/5,-22/3) -> (36/11,95/29) Hyperbolic Matrix(175,1276,24,175) (-22/3,-29/4) -> (29/4,22/3) Hyperbolic Matrix(57,406,8,57) (-29/4,-7/1) -> (7/1,29/4) Hyperbolic Matrix(59,406,-42,-289) (-7/1,-20/3) -> (-38/27,-7/5) Hyperbolic Matrix(289,1914,-114,-755) (-20/3,-33/5) -> (-33/13,-38/15) Hyperbolic Matrix(405,2668,308,2029) (-33/5,-46/7) -> (46/35,25/19) Hyperbolic Matrix(231,1508,142,927) (-46/7,-13/2) -> (13/8,70/43) Hyperbolic Matrix(173,1102,100,637) (-13/2,-19/3) -> (19/11,45/26) Hyperbolic Matrix(175,1102,-138,-869) (-19/3,-6/1) -> (-52/41,-19/15) Hyperbolic Matrix(59,348,10,59) (-6/1,-29/5) -> (29/5,6/1) Hyperbolic Matrix(231,1334,40,231) (-29/5,-23/4) -> (23/4,29/5) Hyperbolic Matrix(233,1334,142,813) (-23/4,-17/3) -> (41/25,23/14) Hyperbolic Matrix(115,638,-42,-233) (-17/3,-11/2) -> (-11/4,-41/15) Hyperbolic Matrix(117,638,64,349) (-11/2,-27/5) -> (31/17,11/6) Hyperbolic Matrix(463,2494,-194,-1045) (-27/5,-16/3) -> (-74/31,-31/13) Hyperbolic Matrix(175,928,-142,-753) (-16/3,-21/4) -> (-37/30,-16/13) Hyperbolic Matrix(289,1508,-78,-407) (-21/4,-5/1) -> (-63/17,-37/10) Hyperbolic Matrix(59,290,12,59) (-5/1,-29/6) -> (29/6,5/1) Hyperbolic Matrix(289,1392,60,289) (-29/6,-24/5) -> (24/5,29/6) Hyperbolic Matrix(231,1102,170,811) (-24/5,-19/4) -> (19/14,34/25) Hyperbolic Matrix(173,812,-62,-291) (-19/4,-14/3) -> (-14/5,-39/14) Hyperbolic Matrix(349,1624,-274,-1275) (-14/3,-51/11) -> (-65/51,-14/11) Hyperbolic Matrix(463,2146,200,927) (-51/11,-37/8) -> (37/16,7/3) Hyperbolic Matrix(1683,7772,-992,-4581) (-37/8,-60/13) -> (-56/33,-95/56) Hyperbolic Matrix(579,2668,176,811) (-60/13,-23/5) -> (23/7,56/17) Hyperbolic Matrix(291,1334,190,871) (-23/5,-55/12) -> (3/2,23/15) Hyperbolic Matrix(2089,9570,456,2089) (-55/12,-87/19) -> (87/19,55/12) Hyperbolic Matrix(1217,5568,266,1217) (-87/19,-32/7) -> (32/7,87/19) Hyperbolic Matrix(521,2378,-140,-639) (-32/7,-9/2) -> (-67/18,-26/7) Hyperbolic Matrix(405,1798,248,1101) (-9/2,-31/7) -> (31/19,49/30) Hyperbolic Matrix(289,1276,118,521) (-31/7,-22/5) -> (22/9,27/11) Hyperbolic Matrix(173,754,-120,-523) (-22/5,-13/3) -> (-13/9,-36/25) Hyperbolic Matrix(175,754,-94,-405) (-13/3,-30/7) -> (-28/15,-13/7) Hyperbolic Matrix(407,1740,258,1103) (-30/7,-17/4) -> (41/26,30/19) Hyperbolic Matrix(233,986,-82,-347) (-17/4,-21/5) -> (-37/13,-17/6) Hyperbolic Matrix(1509,6322,554,2321) (-21/5,-46/11) -> (128/47,79/29) Hyperbolic Matrix(639,2668,542,2263) (-46/11,-25/6) -> (33/28,46/39) Hyperbolic Matrix(349,1450,84,349) (-25/6,-29/7) -> (29/7,25/6) Hyperbolic Matrix(57,232,14,57) (-29/7,-4/1) -> (4/1,29/7) Hyperbolic Matrix(407,1566,-256,-985) (-4/1,-23/6) -> (-35/22,-62/39) Hyperbolic Matrix(349,1334,152,581) (-23/6,-19/5) -> (39/17,23/10) Hyperbolic Matrix(291,1102,230,871) (-19/5,-34/9) -> (24/19,19/15) Hyperbolic Matrix(523,1972,-292,-1101) (-34/9,-15/4) -> (-43/24,-34/19) Hyperbolic Matrix(233,870,-124,-463) (-15/4,-41/11) -> (-17/9,-15/8) Hyperbolic Matrix(405,1508,358,1333) (-41/11,-67/18) -> (9/8,17/15) Hyperbolic Matrix(579,2146,344,1275) (-26/7,-63/17) -> (5/3,32/19) Hyperbolic Matrix(581,2146,-408,-1507) (-37/10,-11/3) -> (-47/33,-37/26) Hyperbolic Matrix(175,638,48,175) (-11/3,-29/8) -> (29/8,11/3) Hyperbolic Matrix(289,1044,80,289) (-29/8,-18/5) -> (18/5,29/8) Hyperbolic Matrix(1567,5626,598,2147) (-18/5,-61/17) -> (55/21,76/29) Hyperbolic Matrix(1391,4988,582,2087) (-61/17,-43/12) -> (43/18,55/23) Hyperbolic Matrix(697,2494,-486,-1739) (-43/12,-25/7) -> (-33/23,-43/30) Hyperbolic Matrix(115,406,-66,-233) (-25/7,-7/2) -> (-7/4,-33/19) Hyperbolic Matrix(117,406,-100,-347) (-7/2,-31/9) -> (-27/23,-7/6) Hyperbolic Matrix(929,3190,-574,-1971) (-31/9,-24/7) -> (-34/21,-89/55) Hyperbolic Matrix(407,1392,-288,-985) (-24/7,-17/5) -> (-41/29,-24/17) Hyperbolic Matrix(291,986,-188,-637) (-17/5,-27/8) -> (-31/20,-17/11) Hyperbolic Matrix(637,2146,-534,-1799) (-27/8,-64/19) -> (-6/5,-31/26) Hyperbolic Matrix(2205,7424,586,1973) (-64/19,-101/30) -> (15/4,64/17) Hyperbolic Matrix(1275,4292,172,579) (-101/30,-37/11) -> (37/5,15/2) Hyperbolic Matrix(639,2146,-466,-1565) (-37/11,-10/3) -> (-48/35,-37/27) Hyperbolic Matrix(755,2494,-544,-1797) (-10/3,-33/10) -> (-25/18,-68/49) Hyperbolic Matrix(985,3248,158,521) (-33/10,-89/27) -> (31/5,25/4) Hyperbolic Matrix(7831,25810,2376,7831) (-89/27,-145/44) -> (145/44,89/27) Hyperbolic Matrix(4929,16240,1496,4929) (-145/44,-56/17) -> (56/17,145/44) Hyperbolic Matrix(811,2668,176,579) (-56/17,-23/7) -> (23/5,60/13) Hyperbolic Matrix(231,754,-178,-581) (-23/7,-13/4) -> (-13/10,-35/27) Hyperbolic Matrix(233,754,72,233) (-13/4,-29/9) -> (29/9,13/4) Hyperbolic Matrix(289,928,90,289) (-29/9,-16/5) -> (16/5,29/9) Hyperbolic Matrix(291,928,164,523) (-16/5,-19/6) -> (39/22,16/9) Hyperbolic Matrix(405,1276,-166,-523) (-19/6,-3/1) -> (-61/25,-39/16) Hyperbolic Matrix(463,1334,362,1043) (-3/1,-23/8) -> (23/18,55/43) Hyperbolic Matrix(465,1334,-404,-1159) (-23/8,-20/7) -> (-38/33,-23/20) Hyperbolic Matrix(3133,8932,-1912,-5451) (-20/7,-57/20) -> (-59/36,-136/83) Hyperbolic Matrix(2667,7598,814,2319) (-57/20,-37/13) -> (95/29,59/18) Hyperbolic Matrix(349,986,-246,-695) (-17/6,-14/5) -> (-44/31,-17/12) Hyperbolic Matrix(521,1450,-438,-1219) (-39/14,-25/9) -> (-25/21,-19/16) Hyperbolic Matrix(1275,3538,-502,-1393) (-25/9,-61/22) -> (-61/24,-33/13) Hyperbolic Matrix(1277,3538,754,2089) (-61/22,-36/13) -> (22/13,61/36) Hyperbolic Matrix(755,2088,-482,-1333) (-36/13,-11/4) -> (-47/30,-36/23) Hyperbolic Matrix(637,1740,488,1333) (-41/15,-30/11) -> (30/23,17/13) Hyperbolic Matrix(1277,3480,724,1973) (-30/11,-79/29) -> (37/21,30/17) Hyperbolic Matrix(2321,6322,554,1509) (-79/29,-128/47) -> (46/11,21/5) Hyperbolic Matrix(3365,9164,1406,3829) (-128/47,-49/18) -> (67/28,12/5) Hyperbolic Matrix(405,1102,362,985) (-49/18,-68/25) -> (10/9,9/8) Hyperbolic Matrix(4351,11832,1600,4351) (-68/25,-87/32) -> (87/32,68/25) Hyperbolic Matrix(1217,3306,448,1217) (-87/32,-19/7) -> (19/7,87/32) Hyperbolic Matrix(407,1102,236,639) (-19/7,-27/10) -> (31/18,19/11) Hyperbolic Matrix(581,1566,-430,-1159) (-27/10,-35/13) -> (-23/17,-27/20) Hyperbolic Matrix(927,2494,-604,-1625) (-35/13,-43/16) -> (-43/28,-23/15) Hyperbolic Matrix(175,464,66,175) (-8/3,-29/11) -> (29/11,8/3) Hyperbolic Matrix(463,1218,176,463) (-29/11,-21/8) -> (21/8,29/11) Hyperbolic Matrix(2145,5626,464,1217) (-21/8,-97/37) -> (97/21,37/8) Hyperbolic Matrix(2899,7598,1770,4639) (-97/37,-76/29) -> (18/11,77/47) Hyperbolic Matrix(2147,5626,598,1567) (-76/29,-55/21) -> (61/17,18/5) Hyperbolic Matrix(1219,3190,-864,-2261) (-55/21,-34/13) -> (-24/17,-55/39) Hyperbolic Matrix(289,754,-156,-407) (-34/13,-13/5) -> (-13/7,-24/13) Hyperbolic Matrix(581,1508,492,1277) (-13/5,-70/27) -> (46/39,13/11) Hyperbolic Matrix(3827,9918,-2686,-6961) (-70/27,-57/22) -> (-57/40,-104/73) Hyperbolic Matrix(3829,9918,2150,5569) (-57/22,-101/39) -> (73/41,57/32) Hyperbolic Matrix(11311,29290,4368,11311) (-101/39,-145/56) -> (145/56,101/39) Hyperbolic Matrix(4929,12760,1904,4929) (-145/56,-44/17) -> (44/17,145/56) Hyperbolic Matrix(987,2552,292,755) (-44/17,-31/12) -> (27/8,44/13) Hyperbolic Matrix(697,1798,540,1393) (-31/12,-49/19) -> (9/7,31/24) Hyperbolic Matrix(811,2088,-496,-1277) (-49/19,-18/7) -> (-18/11,-67/41) Hyperbolic Matrix(2959,7598,1830,4699) (-18/7,-77/30) -> (97/60,76/47) Hyperbolic Matrix(4001,10266,-3052,-7831) (-77/30,-59/23) -> (-59/45,-97/74) Hyperbolic Matrix(1855,4756,814,2087) (-59/23,-41/16) -> (41/18,57/25) Hyperbolic Matrix(521,1334,430,1101) (-41/16,-23/9) -> (23/19,17/14) Hyperbolic Matrix(523,1334,296,755) (-23/9,-28/11) -> (30/17,23/13) Hyperbolic Matrix(2669,6786,776,1973) (-28/11,-61/24) -> (55/16,86/25) Hyperbolic Matrix(871,2204,-756,-1913) (-38/15,-5/2) -> (-53/46,-38/33) Hyperbolic Matrix(871,2146,636,1567) (-5/2,-32/13) -> (26/19,63/46) Hyperbolic Matrix(1391,3422,-802,-1973) (-32/13,-27/11) -> (-85/49,-26/15) Hyperbolic Matrix(521,1276,118,289) (-27/11,-22/9) -> (22/5,31/7) Hyperbolic Matrix(1449,3538,926,2261) (-22/9,-61/25) -> (61/39,36/23) Hyperbolic Matrix(3191,7772,-2500,-6089) (-39/16,-56/23) -> (-60/47,-97/76) Hyperbolic Matrix(1335,3248,358,871) (-56/23,-17/7) -> (41/11,56/15) Hyperbolic Matrix(407,986,168,407) (-17/7,-29/12) -> (29/12,17/7) Hyperbolic Matrix(289,696,120,289) (-29/12,-12/5) -> (12/5,29/12) Hyperbolic Matrix(3829,9164,1406,3365) (-12/5,-67/28) -> (49/18,128/47) Hyperbolic Matrix(4291,10266,-3152,-7541) (-67/28,-55/23) -> (-113/83,-49/36) Hyperbolic Matrix(2087,4988,582,1391) (-55/23,-43/18) -> (43/12,61/17) Hyperbolic Matrix(2551,6090,-1118,-2669) (-43/18,-74/31) -> (-16/7,-73/32) Hyperbolic Matrix(463,1102,292,695) (-31/13,-19/8) -> (19/12,27/17) Hyperbolic Matrix(465,1102,392,929) (-19/8,-45/19) -> (13/11,19/16) Hyperbolic Matrix(1275,3016,-736,-1741) (-45/19,-26/11) -> (-26/15,-71/41) Hyperbolic Matrix(173,406,-124,-291) (-26/11,-7/3) -> (-7/5,-32/23) Hyperbolic Matrix(927,2146,200,463) (-7/3,-37/16) -> (37/8,51/11) Hyperbolic Matrix(1507,3480,954,2203) (-37/16,-30/13) -> (30/19,79/50) Hyperbolic Matrix(579,1334,352,811) (-30/13,-23/10) -> (23/14,28/17) Hyperbolic Matrix(581,1334,152,349) (-23/10,-39/17) -> (19/5,23/6) Hyperbolic Matrix(405,928,278,637) (-39/17,-16/7) -> (16/11,19/13) Hyperbolic Matrix(4349,9918,2670,6089) (-73/32,-57/25) -> (57/35,101/62) Hyperbolic Matrix(2087,4756,814,1855) (-57/25,-41/18) -> (41/16,59/23) Hyperbolic Matrix(637,1450,76,173) (-41/18,-66/29) -> (8/1,17/2) Hyperbolic Matrix(3365,7656,-1886,-4291) (-66/29,-25/11) -> (-91/51,-66/37) Hyperbolic Matrix(1277,2900,358,813) (-25/11,-59/26) -> (57/16,25/7) Hyperbolic Matrix(3247,7366,-2506,-5685) (-59/26,-34/15) -> (-92/71,-57/44) Hyperbolic Matrix(871,1972,-640,-1449) (-34/15,-9/4) -> (-49/36,-34/25) Hyperbolic Matrix(233,522,104,233) (-9/4,-29/13) -> (29/13,9/4) Hyperbolic Matrix(521,1160,234,521) (-29/13,-20/9) -> (20/9,29/13) Hyperbolic Matrix(811,1798,-576,-1277) (-20/9,-31/14) -> (-31/22,-38/27) Hyperbolic Matrix(289,638,236,521) (-31/14,-11/5) -> (11/9,27/22) Hyperbolic Matrix(347,754,-214,-465) (-11/5,-13/6) -> (-13/8,-47/29) Hyperbolic Matrix(349,754,-268,-579) (-13/6,-15/7) -> (-43/33,-13/10) Hyperbolic Matrix(407,870,-298,-637) (-15/7,-2/1) -> (-56/41,-15/11) Hyperbolic Matrix(521,986,214,405) (-2/1,-17/9) -> (17/7,56/23) Hyperbolic Matrix(1335,2494,-1024,-1913) (-15/8,-28/15) -> (-30/23,-73/56) Hyperbolic Matrix(2203,4060,-1700,-3133) (-24/13,-35/19) -> (-35/27,-92/71) Hyperbolic Matrix(7657,14094,-4726,-8699) (-35/19,-46/25) -> (-128/79,-209/129) Hyperbolic Matrix(347,638,-316,-581) (-46/25,-11/6) -> (-11/10,-12/11) Hyperbolic Matrix(349,638,64,117) (-11/6,-31/17) -> (27/5,11/2) Hyperbolic Matrix(637,1160,-542,-987) (-31/17,-20/11) -> (-20/17,-27/23) Hyperbolic Matrix(639,1160,352,639) (-20/11,-29/16) -> (29/16,20/11) Hyperbolic Matrix(289,522,160,289) (-29/16,-9/5) -> (9/5,29/16) Hyperbolic Matrix(2553,4582,-1486,-2667) (-9/5,-52/29) -> (-122/71,-67/39) Hyperbolic Matrix(4465,8004,1326,2377) (-52/29,-43/24) -> (101/30,64/19) Hyperbolic Matrix(3827,6844,-2660,-4757) (-34/19,-59/33) -> (-59/41,-82/57) Hyperbolic Matrix(1915,3422,812,1451) (-59/33,-25/14) -> (33/14,59/25) Hyperbolic Matrix(7539,13456,3314,5915) (-25/14,-116/65) -> (116/51,91/40) Hyperbolic Matrix(7541,13456,3316,5917) (-116/65,-91/51) -> (25/11,116/51) Hyperbolic Matrix(813,1450,716,1277) (-66/37,-41/23) -> (17/15,8/7) Hyperbolic Matrix(2669,4756,1628,2901) (-41/23,-57/32) -> (59/36,41/25) Hyperbolic Matrix(1043,1856,-848,-1509) (-57/32,-16/9) -> (-16/13,-59/48) Hyperbolic Matrix(523,928,164,291) (-16/9,-39/22) -> (19/6,16/5) Hyperbolic Matrix(753,1334,556,985) (-39/22,-23/13) -> (23/17,19/14) Hyperbolic Matrix(755,1334,296,523) (-23/13,-30/17) -> (28/11,23/9) Hyperbolic Matrix(1973,3480,724,1277) (-30/17,-37/21) -> (79/29,30/11) Hyperbolic Matrix(1219,2146,956,1683) (-37/21,-7/4) -> (51/40,37/29) Hyperbolic Matrix(1971,3422,868,1507) (-33/19,-59/34) -> (59/26,25/11) Hyperbolic Matrix(14443,25056,-8926,-15485) (-59/34,-85/49) -> (-89/55,-233/144) Hyperbolic Matrix(7771,13456,3282,5683) (-71/41,-116/67) -> (116/49,45/19) Hyperbolic Matrix(7773,13456,3284,5685) (-116/67,-45/26) -> (71/30,116/49) Hyperbolic Matrix(637,1102,100,173) (-45/26,-19/11) -> (19/3,13/2) Hyperbolic Matrix(639,1102,236,407) (-19/11,-31/18) -> (27/10,19/7) Hyperbolic Matrix(1449,2494,-1180,-2031) (-31/18,-43/25) -> (-43/35,-27/22) Hyperbolic Matrix(2901,4988,2092,3597) (-43/25,-55/32) -> (61/44,43/31) Hyperbolic Matrix(14615,25114,-10734,-18445) (-55/32,-122/71) -> (-64/47,-177/130) Hyperbolic Matrix(5335,9164,3376,5799) (-67/39,-12/7) -> (128/81,49/31) Hyperbolic Matrix(407,696,238,407) (-12/7,-29/17) -> (29/17,12/7) Hyperbolic Matrix(579,986,340,579) (-29/17,-17/10) -> (17/10,29/17) Hyperbolic Matrix(581,986,274,465) (-17/10,-56/33) -> (2/1,17/8) Hyperbolic Matrix(5915,10034,2256,3827) (-95/56,-39/23) -> (97/37,21/8) Hyperbolic Matrix(753,1276,-514,-871) (-39/23,-22/13) -> (-22/15,-19/13) Hyperbolic Matrix(755,1276,584,987) (-22/13,-27/16) -> (31/24,22/17) Hyperbolic Matrix(2203,3712,-1584,-2669) (-27/16,-32/19) -> (-32/23,-89/64) Hyperbolic Matrix(173,290,34,57) (-32/19,-5/3) -> (5/1,26/5) Hyperbolic Matrix(1159,1914,-984,-1625) (-5/3,-33/20) -> (-33/28,-53/45) Hyperbolic Matrix(2145,3538,-1372,-2263) (-33/20,-28/17) -> (-86/55,-25/16) Hyperbolic Matrix(811,1334,352,579) (-28/17,-23/14) -> (23/10,30/13) Hyperbolic Matrix(813,1334,142,233) (-23/14,-41/25) -> (17/3,23/4) Hyperbolic Matrix(2901,4756,1628,2669) (-41/25,-59/36) -> (57/32,41/23) Hyperbolic Matrix(12991,21286,-9912,-16241) (-136/83,-77/47) -> (-135/103,-38/29) Hyperbolic Matrix(4639,7598,1770,2899) (-77/47,-18/11) -> (76/29,97/37) Hyperbolic Matrix(8235,13456,3194,5219) (-67/41,-116/71) -> (116/45,49/19) Hyperbolic Matrix(8237,13456,3196,5221) (-116/71,-49/30) -> (67/26,116/45) Hyperbolic Matrix(1101,1798,248,405) (-49/30,-31/19) -> (31/7,9/2) Hyperbolic Matrix(1103,1798,392,639) (-31/19,-44/27) -> (14/5,31/11) Hyperbolic Matrix(7831,12760,4806,7831) (-44/27,-145/89) -> (145/89,44/27) Hyperbolic Matrix(17979,29290,11036,17979) (-145/89,-101/62) -> (101/62,145/89) Hyperbolic Matrix(5163,8410,962,1567) (-101/62,-57/35) -> (59/11,43/8) Hyperbolic Matrix(463,754,-428,-697) (-57/35,-70/43) -> (-12/11,-1/1) Hyperbolic Matrix(927,1508,142,231) (-70/43,-13/8) -> (13/2,46/7) Hyperbolic Matrix(6729,10904,-4724,-7655) (-47/29,-128/79) -> (-104/73,-47/33) Hyperbolic Matrix(51909,84100,19868,32189) (-209/129,-290/179) -> (290/111,81/31) Hyperbolic Matrix(51911,84100,19870,32191) (-290/179,-81/50) -> (209/80,290/111) Hyperbolic Matrix(4583,7424,-3186,-5161) (-81/50,-34/21) -> (-82/57,-23/16) Hyperbolic Matrix(42513,68788,11936,19313) (-233/144,-377/233) -> (203/57,57/16) Hyperbolic Matrix(52085,84274,14626,23665) (-377/233,-144/89) -> (146/41,203/57) Hyperbolic Matrix(8353,13514,3012,4873) (-144/89,-55/34) -> (61/22,86/31) Hyperbolic Matrix(3479,5626,2510,4059) (-55/34,-76/47) -> (18/13,61/44) Hyperbolic Matrix(4699,7598,1830,2959) (-76/47,-97/60) -> (77/30,18/7) Hyperbolic Matrix(6207,10034,2548,4119) (-97/60,-21/13) -> (95/39,39/16) Hyperbolic Matrix(755,1218,468,755) (-21/13,-29/18) -> (29/18,21/13) Hyperbolic Matrix(289,464,180,289) (-29/18,-8/5) -> (8/5,29/18) Hyperbolic Matrix(291,464,-254,-405) (-8/5,-35/22) -> (-23/20,-8/7) Hyperbolic Matrix(1277,2030,-948,-1507) (-62/39,-27/17) -> (-31/23,-4/3) Hyperbolic Matrix(695,1102,292,463) (-27/17,-19/12) -> (19/8,31/13) Hyperbolic Matrix(2089,3306,1320,2089) (-19/12,-87/55) -> (87/55,19/12) Hyperbolic Matrix(7481,11832,4730,7481) (-87/55,-68/43) -> (68/43,87/55) Hyperbolic Matrix(697,1102,74,117) (-68/43,-49/31) -> (9/1,10/1) Hyperbolic Matrix(5799,9164,3376,5335) (-49/31,-128/81) -> (12/7,67/39) Hyperbolic Matrix(4001,6322,3046,4813) (-128/81,-79/50) -> (21/16,46/35) Hyperbolic Matrix(2203,3480,954,1507) (-79/50,-30/19) -> (30/13,37/16) Hyperbolic Matrix(405,638,-332,-523) (-30/19,-11/7) -> (-11/9,-28/23) Hyperbolic Matrix(2145,3364,776,1217) (-11/7,-58/37) -> (58/21,47/17) Hyperbolic Matrix(2147,3364,778,1219) (-58/37,-47/30) -> (11/4,58/21) Hyperbolic Matrix(927,1450,296,463) (-36/23,-61/39) -> (3/1,22/7) Hyperbolic Matrix(8641,13514,3300,5161) (-61/39,-86/55) -> (144/55,55/21) Hyperbolic Matrix(521,812,-410,-639) (-25/16,-14/9) -> (-14/11,-33/26) Hyperbolic Matrix(1159,1798,448,695) (-14/9,-31/20) -> (31/12,44/17) Hyperbolic Matrix(639,986,-488,-753) (-17/11,-20/13) -> (-38/29,-17/13) Hyperbolic Matrix(1509,2320,-1282,-1971) (-20/13,-43/28) -> (-73/62,-20/17) Hyperbolic Matrix(871,1334,190,291) (-23/15,-3/2) -> (55/12,23/5) Hyperbolic Matrix(987,1450,356,523) (-3/2,-22/15) -> (36/13,61/22) Hyperbolic Matrix(637,928,278,405) (-19/13,-16/11) -> (16/7,39/17) Hyperbolic Matrix(639,928,440,639) (-16/11,-29/20) -> (29/20,16/11) Hyperbolic Matrix(521,754,360,521) (-29/20,-13/9) -> (13/9,29/20) Hyperbolic Matrix(2377,3422,2054,2957) (-36/25,-95/66) -> (37/32,22/19) Hyperbolic Matrix(5279,7598,3426,4931) (-95/66,-59/41) -> (57/37,37/24) Hyperbolic Matrix(1857,2668,1454,2089) (-23/16,-56/39) -> (60/47,23/18) Hyperbolic Matrix(11311,16240,7878,11311) (-56/39,-145/101) -> (145/101,56/39) Hyperbolic Matrix(17979,25810,12524,17979) (-145/101,-89/62) -> (89/62,145/101) Hyperbolic Matrix(4001,5742,848,1217) (-89/62,-33/23) -> (33/7,85/18) Hyperbolic Matrix(4291,6148,-3644,-5221) (-43/30,-53/37) -> (-53/45,-73/62) Hyperbolic Matrix(3769,5394,-2716,-3887) (-53/37,-10/7) -> (-68/49,-179/129) Hyperbolic Matrix(3017,4292,2610,3713) (-37/26,-101/71) -> (15/13,37/32) Hyperbolic Matrix(5627,8004,2488,3539) (-101/71,-64/45) -> (52/23,43/19) Hyperbolic Matrix(4813,6844,-3794,-5395) (-64/45,-27/19) -> (-85/67,-52/41) Hyperbolic Matrix(1797,2552,1102,1565) (-27/19,-44/31) -> (44/27,31/19) Hyperbolic Matrix(2377,3364,696,985) (-17/12,-58/41) -> (58/17,41/12) Hyperbolic Matrix(2379,3364,698,987) (-58/41,-41/29) -> (17/5,58/17) Hyperbolic Matrix(4813,6786,2920,4117) (-55/39,-86/61) -> (28/17,61/37) Hyperbolic Matrix(8641,12180,-6214,-8759) (-86/61,-31/22) -> (-89/64,-146/105) Hyperbolic Matrix(60609,84274,23150,32189) (-146/105,-203/146) -> (377/144,144/55) Hyperbolic Matrix(49475,68788,18898,26275) (-203/146,-57/41) -> (233/89,377/144) Hyperbolic Matrix(2087,2900,1168,1623) (-57/41,-25/18) -> (25/14,59/33) Hyperbolic Matrix(60609,84100,16928,23489) (-179/129,-290/209) -> (290/81,111/31) Hyperbolic Matrix(60611,84100,16930,23491) (-290/209,-111/80) -> (179/50,290/81) Hyperbolic Matrix(2843,3944,-2466,-3421) (-111/80,-43/31) -> (-15/13,-53/46) Hyperbolic Matrix(3597,4988,2092,2901) (-43/31,-61/44) -> (55/32,43/25) Hyperbolic Matrix(4059,5626,2510,3479) (-61/44,-18/13) -> (76/47,55/34) Hyperbolic Matrix(755,1044,546,755) (-18/13,-29/21) -> (29/21,18/13) Hyperbolic Matrix(463,638,336,463) (-29/21,-11/8) -> (11/8,29/21) Hyperbolic Matrix(465,638,-422,-579) (-11/8,-48/35) -> (-10/9,-11/10) Hyperbolic Matrix(1101,1508,-890,-1219) (-37/27,-26/19) -> (-26/21,-21/17) Hyperbolic Matrix(1739,2378,-1358,-1857) (-26/19,-41/30) -> (-41/32,-32/25) Hyperbolic Matrix(2377,3248,1400,1913) (-41/30,-56/41) -> (56/33,17/10) Hyperbolic Matrix(5451,7424,3832,5219) (-15/11,-64/47) -> (64/45,101/71) Hyperbolic Matrix(61769,84100,16400,22329) (-177/130,-290/213) -> (290/77,113/30) Hyperbolic Matrix(61771,84100,16402,22331) (-290/213,-113/83) -> (177/47,290/77) Hyperbolic Matrix(811,1102,170,231) (-34/25,-19/14) -> (19/4,24/5) Hyperbolic Matrix(985,1334,556,753) (-19/14,-23/17) -> (23/13,39/22) Hyperbolic Matrix(2493,3364,644,869) (-27/20,-58/43) -> (58/15,31/8) Hyperbolic Matrix(2495,3364,646,871) (-58/43,-31/23) -> (27/7,58/15) Hyperbolic Matrix(175,232,132,175) (-4/3,-29/22) -> (29/22,4/3) Hyperbolic Matrix(1101,1450,836,1101) (-29/22,-25/19) -> (25/19,29/22) Hyperbolic Matrix(2029,2668,308,405) (-25/19,-46/35) -> (46/7,33/5) Hyperbolic Matrix(4813,6322,3046,4001) (-46/35,-21/16) -> (79/50,128/81) Hyperbolic Matrix(4467,5858,1018,1335) (-21/16,-59/45) -> (57/13,79/18) Hyperbolic Matrix(41063,53824,9734,12759) (-97/74,-232/177) -> (232/55,135/32) Hyperbolic Matrix(41065,53824,9736,12761) (-232/177,-135/103) -> (97/23,232/55) Hyperbolic Matrix(755,986,134,175) (-17/13,-30/23) -> (28/5,17/3) Hyperbolic Matrix(10323,13456,2402,3131) (-73/56,-116/89) -> (116/27,43/10) Hyperbolic Matrix(10325,13456,2404,3133) (-116/89,-43/33) -> (73/17,116/27) Hyperbolic Matrix(4523,5858,1074,1391) (-57/44,-79/61) -> (21/5,59/14) Hyperbolic Matrix(1971,2552,268,347) (-79/61,-22/17) -> (22/3,37/5) Hyperbolic Matrix(987,1276,584,755) (-22/17,-31/24) -> (27/16,22/13) Hyperbolic Matrix(1393,1798,540,697) (-31/24,-9/7) -> (49/19,31/12) Hyperbolic Matrix(407,522,46,59) (-9/7,-41/32) -> (17/2,9/1) Hyperbolic Matrix(4351,5568,3400,4351) (-32/25,-87/68) -> (87/68,32/25) Hyperbolic Matrix(7481,9570,5848,7481) (-87/68,-55/43) -> (55/43,87/68) Hyperbolic Matrix(1043,1334,362,463) (-55/43,-23/18) -> (23/8,3/1) Hyperbolic Matrix(2089,2668,1454,1857) (-23/18,-60/47) -> (56/39,23/16) Hyperbolic Matrix(4409,5626,2728,3481) (-97/76,-37/29) -> (21/13,97/60) Hyperbolic Matrix(1683,2146,956,1219) (-37/29,-51/40) -> (7/4,37/21) Hyperbolic Matrix(10555,13456,2274,2899) (-51/40,-116/91) -> (116/25,65/14) Hyperbolic Matrix(10557,13456,2276,2901) (-116/91,-65/51) -> (51/11,116/25) Hyperbolic Matrix(4525,5742,1372,1741) (-33/26,-85/67) -> (89/27,33/10) Hyperbolic Matrix(871,1102,230,291) (-19/15,-24/19) -> (34/9,19/5) Hyperbolic Matrix(1103,1392,874,1103) (-24/19,-29/23) -> (29/23,24/19) Hyperbolic Matrix(231,290,184,231) (-29/23,-5/4) -> (5/4,29/23) Hyperbolic Matrix(233,290,94,117) (-5/4,-26/21) -> (32/13,5/2) Hyperbolic Matrix(2725,3364,516,637) (-21/17,-58/47) -> (58/11,37/7) Hyperbolic Matrix(2727,3364,518,639) (-58/47,-37/30) -> (21/4,58/11) Hyperbolic Matrix(6843,8410,2642,3247) (-59/48,-43/35) -> (101/39,57/22) Hyperbolic Matrix(521,638,236,289) (-27/22,-11/9) -> (11/5,31/14) Hyperbolic Matrix(811,986,190,231) (-28/23,-17/14) -> (17/4,30/7) Hyperbolic Matrix(1101,1334,430,521) (-17/14,-23/19) -> (23/9,41/16) Hyperbolic Matrix(1103,1334,912,1103) (-23/19,-29/24) -> (29/24,23/19) Hyperbolic Matrix(289,348,240,289) (-29/24,-6/5) -> (6/5,29/24) Hyperbolic Matrix(2727,3248,1900,2263) (-31/26,-25/21) -> (33/23,89/62) Hyperbolic Matrix(929,1102,392,465) (-19/16,-13/11) -> (45/19,19/8) Hyperbolic Matrix(1277,1508,492,581) (-13/11,-46/39) -> (70/27,13/5) Hyperbolic Matrix(2263,2668,542,639) (-46/39,-33/28) -> (25/6,46/11) Hyperbolic Matrix(349,406,300,349) (-7/6,-29/25) -> (29/25,7/6) Hyperbolic Matrix(1101,1276,950,1101) (-29/25,-22/19) -> (22/19,29/25) Hyperbolic Matrix(2205,2552,502,581) (-22/19,-37/32) -> (79/18,22/5) Hyperbolic Matrix(3713,4292,2610,3017) (-37/32,-15/13) -> (101/71,37/26) Hyperbolic Matrix(1277,1450,716,813) (-8/7,-17/15) -> (41/23,66/37) Hyperbolic Matrix(463,522,102,115) (-17/15,-9/8) -> (9/2,41/9) Hyperbolic Matrix(985,1102,362,405) (-9/8,-10/9) -> (68/25,49/18) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(523,-580,156,-173) (1/1,10/9) -> (10/3,57/17) Hyperbolic Matrix(405,-464,254,-291) (8/7,15/13) -> (43/27,8/5) Hyperbolic Matrix(347,-406,100,-117) (7/6,20/17) -> (38/11,7/2) Hyperbolic Matrix(1625,-1914,984,-1159) (20/17,33/28) -> (33/20,38/23) Hyperbolic Matrix(927,-1102,196,-233) (19/16,6/5) -> (52/11,19/4) Hyperbolic Matrix(523,-638,332,-405) (17/14,11/9) -> (11/7,41/26) Hyperbolic Matrix(2031,-2494,1180,-1449) (27/22,16/13) -> (74/43,31/18) Hyperbolic Matrix(753,-928,142,-175) (16/13,21/17) -> (37/7,16/3) Hyperbolic Matrix(1219,-1508,890,-1101) (21/17,5/4) -> (63/46,37/27) Hyperbolic Matrix(639,-812,410,-521) (19/15,14/11) -> (14/9,39/25) Hyperbolic Matrix(1275,-1624,274,-349) (14/11,51/40) -> (65/14,14/3) Hyperbolic Matrix(6089,-7772,2500,-3191) (37/29,60/47) -> (56/23,95/39) Hyperbolic Matrix(1857,-2378,1358,-1739) (32/25,9/7) -> (67/49,26/19) Hyperbolic Matrix(581,-754,178,-231) (22/17,13/10) -> (13/4,36/11) Hyperbolic Matrix(579,-754,268,-349) (13/10,30/23) -> (28/13,13/6) Hyperbolic Matrix(753,-986,488,-639) (17/13,21/16) -> (37/24,17/11) Hyperbolic Matrix(1159,-1566,430,-581) (4/3,23/17) -> (35/13,62/23) Hyperbolic Matrix(1449,-1972,640,-871) (34/25,15/11) -> (43/19,34/15) Hyperbolic Matrix(637,-870,298,-407) (15/11,41/30) -> (17/8,15/7) Hyperbolic Matrix(1565,-2146,466,-639) (37/27,11/8) -> (47/14,37/11) Hyperbolic Matrix(1797,-2494,544,-755) (43/31,25/18) -> (33/10,43/13) Hyperbolic Matrix(291,-406,124,-173) (25/18,7/5) -> (7/3,33/14) Hyperbolic Matrix(289,-406,42,-59) (7/5,31/22) -> (27/4,7/1) Hyperbolic Matrix(2261,-3190,864,-1219) (31/22,24/17) -> (34/13,89/34) Hyperbolic Matrix(985,-1392,288,-407) (24/17,17/12) -> (41/12,24/7) Hyperbolic Matrix(695,-986,246,-349) (17/12,27/19) -> (31/11,17/6) Hyperbolic Matrix(1509,-2146,244,-347) (27/19,64/45) -> (6/1,31/5) Hyperbolic Matrix(1507,-2146,408,-581) (37/26,10/7) -> (48/13,37/10) Hyperbolic Matrix(1739,-2494,486,-697) (10/7,33/23) -> (25/7,68/19) Hyperbolic Matrix(523,-754,120,-173) (23/16,13/9) -> (13/3,35/8) Hyperbolic Matrix(871,-1276,514,-753) (19/13,3/2) -> (61/36,39/23) Hyperbolic Matrix(869,-1334,114,-175) (23/15,20/13) -> (38/5,23/3) Hyperbolic Matrix(5799,-8932,2260,-3481) (20/13,57/37) -> (59/23,136/53) Hyperbolic Matrix(637,-986,188,-291) (17/11,14/9) -> (44/13,17/5) Hyperbolic Matrix(929,-1450,148,-231) (39/25,25/16) -> (25/4,19/3) Hyperbolic Matrix(2263,-3538,1372,-2145) (25/16,61/39) -> (61/37,33/20) Hyperbolic Matrix(1333,-2088,482,-755) (36/23,11/7) -> (47/17,36/13) Hyperbolic Matrix(985,-1566,256,-407) (27/17,35/22) -> (23/6,27/7) Hyperbolic Matrix(1567,-2494,546,-869) (35/22,43/27) -> (43/15,23/8) Hyperbolic Matrix(1971,-3190,574,-929) (55/34,34/21) -> (24/7,55/16) Hyperbolic Matrix(465,-754,214,-347) (34/21,13/8) -> (13/6,24/11) Hyperbolic Matrix(6091,-9918,1816,-2957) (70/43,57/35) -> (57/17,104/31) Hyperbolic Matrix(1277,-2088,496,-811) (49/30,18/11) -> (18/7,67/26) Hyperbolic Matrix(6265,-10266,1486,-2435) (77/47,59/36) -> (59/14,97/23) Hyperbolic Matrix(1333,-2204,176,-291) (38/23,5/3) -> (53/7,38/5) Hyperbolic Matrix(2031,-3422,860,-1449) (32/19,27/16) -> (85/36,26/11) Hyperbolic Matrix(4581,-7772,992,-1683) (39/23,56/33) -> (60/13,97/21) Hyperbolic Matrix(5975,-10266,1586,-2725) (67/39,55/32) -> (113/30,49/13) Hyperbolic Matrix(3539,-6090,1988,-3421) (43/25,74/43) -> (16/9,73/41) Hyperbolic Matrix(1741,-3016,736,-1275) (45/26,26/15) -> (26/11,71/30) Hyperbolic Matrix(233,-406,66,-115) (26/15,7/4) -> (7/2,32/9) Hyperbolic Matrix(4291,-7656,1886,-3365) (66/37,25/14) -> (91/40,66/29) Hyperbolic Matrix(4119,-7366,940,-1681) (59/33,34/19) -> (92/21,57/13) Hyperbolic Matrix(1101,-1972,292,-523) (34/19,9/5) -> (49/13,34/9) Hyperbolic Matrix(987,-1798,286,-521) (20/11,31/17) -> (31/9,38/11) Hyperbolic Matrix(407,-754,156,-289) (11/6,13/7) -> (13/5,47/18) Hyperbolic Matrix(405,-754,94,-175) (13/7,15/8) -> (43/10,13/3) Hyperbolic Matrix(463,-870,124,-233) (15/8,2/1) -> (56/15,15/4) Hyperbolic Matrix(1159,-2494,270,-581) (15/7,28/13) -> (30/7,73/17) Hyperbolic Matrix(1857,-4060,424,-927) (24/11,35/16) -> (35/8,92/21) Hyperbolic Matrix(6437,-14094,2464,-5395) (35/16,46/21) -> (128/49,209/80) Hyperbolic Matrix(291,-638,26,-57) (46/21,11/5) -> (11/1,12/1) Hyperbolic Matrix(523,-1160,78,-173) (31/14,20/9) -> (20/3,27/4) Hyperbolic Matrix(2029,-4582,848,-1915) (9/4,52/23) -> (122/51,67/28) Hyperbolic Matrix(3017,-6844,920,-2087) (34/15,59/26) -> (59/18,82/25) Hyperbolic Matrix(813,-1856,152,-347) (57/25,16/7) -> (16/3,59/11) Hyperbolic Matrix(10613,-25056,4054,-9571) (59/25,85/36) -> (89/34,233/89) Hyperbolic Matrix(1045,-2494,194,-463) (31/13,43/18) -> (43/8,27/5) Hyperbolic Matrix(10499,-25114,2788,-6669) (55/23,122/51) -> (64/17,177/47) Hyperbolic Matrix(523,-1276,166,-405) (39/16,22/9) -> (22/7,19/6) Hyperbolic Matrix(1509,-3712,424,-1043) (27/11,32/13) -> (32/9,89/25) Hyperbolic Matrix(755,-1914,114,-289) (5/2,33/13) -> (33/5,53/8) Hyperbolic Matrix(1393,-3538,502,-1275) (33/13,28/11) -> (86/31,25/9) Hyperbolic Matrix(8295,-21286,1966,-5045) (136/53,77/30) -> (135/32,38/9) Hyperbolic Matrix(291,-754,22,-57) (57/22,70/27) -> (12/1,1/0) Hyperbolic Matrix(4175,-10904,1244,-3249) (47/18,128/49) -> (104/31,47/14) Hyperbolic Matrix(2841,-7424,866,-2263) (81/31,34/13) -> (82/25,23/7) Hyperbolic Matrix(173,-464,22,-59) (8/3,35/13) -> (23/3,8/1) Hyperbolic Matrix(753,-2030,194,-523) (62/23,27/10) -> (31/8,4/1) Hyperbolic Matrix(233,-638,42,-115) (30/11,11/4) -> (11/2,28/5) Hyperbolic Matrix(291,-812,62,-173) (25/9,14/5) -> (14/3,33/7) Hyperbolic Matrix(347,-986,82,-233) (17/6,20/7) -> (38/9,17/4) Hyperbolic Matrix(811,-2320,122,-349) (20/7,43/15) -> (73/11,20/3) Hyperbolic Matrix(1857,-6148,280,-927) (43/13,53/16) -> (53/8,73/11) Hyperbolic Matrix(1625,-5394,454,-1507) (53/16,10/3) -> (68/19,179/50) Hyperbolic Matrix(2031,-6844,430,-1449) (64/19,27/8) -> (85/18,52/11) Hyperbolic Matrix(3539,-12180,994,-3421) (86/25,31/9) -> (89/25,146/41) Hyperbolic Matrix(1101,-3944,146,-523) (111/31,43/12) -> (15/2,53/7) Hyperbolic Matrix(173,-638,16,-59) (11/3,48/13) -> (10/1,11/1) Hyperbolic Matrix(407,-1508,78,-289) (37/10,26/7) -> (26/5,21/4) Hyperbolic Matrix(639,-2378,140,-521) (26/7,41/11) -> (41/9,32/7) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(57,580,-40,-407) -> Matrix(1,2,-8,-15) Matrix(117,1102,74,697) -> Matrix(1,0,4,1) Matrix(175,1508,128,1103) -> Matrix(1,0,8,1) Matrix(173,1450,76,637) -> Matrix(1,0,4,1) Matrix(59,464,-22,-173) -> Matrix(1,0,-4,1) Matrix(579,4292,172,1275) -> Matrix(1,0,6,1) Matrix(465,3422,142,1045) -> Matrix(1,0,6,1) Matrix(175,1276,24,175) -> Matrix(1,0,10,1) Matrix(57,406,8,57) -> Matrix(1,0,-2,1) Matrix(59,406,-42,-289) -> Matrix(1,0,-8,1) Matrix(289,1914,-114,-755) -> Matrix(1,0,-4,1) Matrix(405,2668,308,2029) -> Matrix(1,0,6,1) Matrix(231,1508,142,927) -> Matrix(1,2,6,13) Matrix(173,1102,100,637) -> Matrix(1,-2,6,-11) Matrix(175,1102,-138,-869) -> Matrix(1,0,-8,1) Matrix(59,348,10,59) -> Matrix(1,0,2,1) Matrix(231,1334,40,231) -> Matrix(7,6,8,7) Matrix(233,1334,142,813) -> Matrix(3,2,22,15) Matrix(115,638,-42,-233) -> Matrix(3,2,-14,-9) Matrix(117,638,64,349) -> Matrix(1,0,8,1) Matrix(463,2494,-194,-1045) -> Matrix(3,2,-2,-1) Matrix(175,928,-142,-753) -> Matrix(1,0,-6,1) Matrix(289,1508,-78,-407) -> Matrix(1,0,-4,1) Matrix(59,290,12,59) -> Matrix(1,0,6,1) Matrix(289,1392,60,289) -> Matrix(1,0,-10,1) Matrix(231,1102,170,811) -> Matrix(3,-2,26,-17) Matrix(173,812,-62,-291) -> Matrix(1,0,-4,1) Matrix(349,1624,-274,-1275) -> Matrix(1,2,-10,-19) Matrix(463,2146,200,927) -> Matrix(3,2,10,7) Matrix(1683,7772,-992,-4581) -> Matrix(1,-6,-6,37) Matrix(579,2668,176,811) -> Matrix(1,2,2,5) Matrix(291,1334,190,871) -> Matrix(7,8,48,55) Matrix(2089,9570,456,2089) -> Matrix(17,18,16,17) Matrix(1217,5568,266,1217) -> Matrix(13,12,14,13) Matrix(521,2378,-140,-639) -> Matrix(5,4,-24,-19) Matrix(405,1798,248,1101) -> Matrix(1,0,8,1) Matrix(289,1276,118,521) -> Matrix(1,0,8,1) Matrix(173,754,-120,-523) -> Matrix(1,0,-6,1) Matrix(175,754,-94,-405) -> Matrix(3,2,-20,-13) Matrix(407,1740,258,1103) -> Matrix(1,0,8,1) Matrix(233,986,-82,-347) -> Matrix(5,2,-18,-7) Matrix(1509,6322,554,2321) -> Matrix(1,0,6,1) Matrix(639,2668,542,2263) -> Matrix(3,2,22,15) Matrix(349,1450,84,349) -> Matrix(11,6,20,11) Matrix(57,232,14,57) -> Matrix(5,2,12,5) Matrix(407,1566,-256,-985) -> Matrix(7,2,-46,-13) Matrix(349,1334,152,581) -> Matrix(7,2,24,7) Matrix(291,1102,230,871) -> Matrix(1,0,12,1) Matrix(523,1972,-292,-1101) -> Matrix(1,0,-2,1) Matrix(233,870,-124,-463) -> Matrix(17,4,-98,-23) Matrix(405,1508,358,1333) -> Matrix(9,2,76,17) Matrix(579,2146,344,1275) -> Matrix(13,2,84,13) Matrix(581,2146,-408,-1507) -> Matrix(13,2,-98,-15) Matrix(175,638,48,175) -> Matrix(1,0,14,1) Matrix(289,1044,80,289) -> Matrix(1,0,-10,1) Matrix(1567,5626,598,2147) -> Matrix(1,0,0,1) Matrix(1391,4988,582,2087) -> Matrix(5,-2,-2,1) Matrix(697,2494,-486,-1739) -> Matrix(3,-2,-22,15) Matrix(115,406,-66,-233) -> Matrix(1,2,-6,-11) Matrix(117,406,-100,-347) -> Matrix(3,2,-26,-17) Matrix(929,3190,-574,-1971) -> Matrix(7,4,-44,-25) Matrix(407,1392,-288,-985) -> Matrix(11,6,-90,-49) Matrix(291,986,-188,-637) -> Matrix(19,8,-126,-53) Matrix(637,2146,-534,-1799) -> Matrix(1,0,-6,1) Matrix(2205,7424,586,1973) -> Matrix(7,2,24,7) Matrix(1275,4292,172,579) -> Matrix(1,0,6,1) Matrix(639,2146,-466,-1565) -> Matrix(3,2,-26,-17) Matrix(755,2494,-544,-1797) -> Matrix(9,4,-70,-31) Matrix(985,3248,158,521) -> Matrix(5,2,2,1) Matrix(7831,25810,2376,7831) -> Matrix(5,2,12,5) Matrix(4929,16240,1496,4929) -> Matrix(5,2,12,5) Matrix(811,2668,176,579) -> Matrix(5,2,2,1) Matrix(231,754,-178,-581) -> Matrix(1,0,-6,1) Matrix(233,754,72,233) -> Matrix(5,2,12,5) Matrix(289,928,90,289) -> Matrix(1,0,6,1) Matrix(291,928,164,523) -> Matrix(1,0,8,1) Matrix(405,1276,-166,-523) -> Matrix(1,0,-6,1) Matrix(463,1334,362,1043) -> Matrix(1,0,12,1) Matrix(465,1334,-404,-1159) -> Matrix(1,0,-6,1) Matrix(3133,8932,-1912,-5451) -> Matrix(7,2,-46,-13) Matrix(2667,7598,814,2319) -> Matrix(7,2,10,3) Matrix(349,986,-246,-695) -> Matrix(9,2,-68,-15) Matrix(521,1450,-438,-1219) -> Matrix(1,0,-6,1) Matrix(1275,3538,-502,-1393) -> Matrix(7,2,-32,-9) Matrix(1277,3538,754,2089) -> Matrix(9,2,58,13) Matrix(755,2088,-482,-1333) -> Matrix(31,8,-190,-49) Matrix(637,1740,488,1333) -> Matrix(1,0,12,1) Matrix(1277,3480,724,1973) -> Matrix(9,2,40,9) Matrix(2321,6322,554,1509) -> Matrix(1,0,6,1) Matrix(3365,9164,1406,3829) -> Matrix(9,2,-14,-3) Matrix(405,1102,362,985) -> Matrix(1,0,14,1) Matrix(4351,11832,1600,4351) -> Matrix(9,2,40,9) Matrix(1217,3306,448,1217) -> Matrix(9,2,40,9) Matrix(407,1102,236,639) -> Matrix(7,2,38,11) Matrix(581,1566,-430,-1159) -> Matrix(11,2,-94,-17) Matrix(927,2494,-604,-1625) -> Matrix(31,6,-212,-41) Matrix(175,464,66,175) -> Matrix(1,0,10,1) Matrix(463,1218,176,463) -> Matrix(1,0,6,1) Matrix(2145,5626,464,1217) -> Matrix(1,0,4,1) Matrix(2899,7598,1770,4639) -> Matrix(1,0,10,1) Matrix(2147,5626,598,1567) -> Matrix(1,0,0,1) Matrix(1219,3190,-864,-2261) -> Matrix(7,2,-60,-17) Matrix(289,754,-156,-407) -> Matrix(1,0,-2,1) Matrix(581,1508,492,1277) -> Matrix(1,0,14,1) Matrix(3827,9918,-2686,-6961) -> Matrix(17,2,-128,-15) Matrix(3829,9918,2150,5569) -> Matrix(1,0,16,1) Matrix(11311,29290,4368,11311) -> Matrix(1,0,38,1) Matrix(4929,12760,1904,4929) -> Matrix(1,0,-6,1) Matrix(987,2552,292,755) -> Matrix(5,2,12,5) Matrix(697,1798,540,1393) -> Matrix(1,0,12,1) Matrix(811,2088,-496,-1277) -> Matrix(1,0,-2,1) Matrix(2959,7598,1830,4699) -> Matrix(9,2,58,13) Matrix(4001,10266,-3052,-7831) -> Matrix(1,0,-4,1) Matrix(1855,4756,814,2087) -> Matrix(1,0,8,1) Matrix(521,1334,430,1101) -> Matrix(9,2,76,17) Matrix(523,1334,296,755) -> Matrix(1,0,10,1) Matrix(2669,6786,776,1973) -> Matrix(3,2,4,3) Matrix(871,2204,-756,-1913) -> Matrix(9,2,-86,-19) Matrix(871,2146,636,1567) -> Matrix(13,2,110,17) Matrix(1391,3422,-802,-1973) -> Matrix(17,2,-94,-11) Matrix(521,1276,118,289) -> Matrix(1,0,8,1) Matrix(1449,3538,926,2261) -> Matrix(33,4,206,25) Matrix(3191,7772,-2500,-6089) -> Matrix(1,0,0,1) Matrix(1335,3248,358,871) -> Matrix(21,2,94,9) Matrix(407,986,168,407) -> Matrix(1,0,26,1) Matrix(289,696,120,289) -> Matrix(1,0,-6,1) Matrix(3829,9164,1406,3365) -> Matrix(3,-2,14,-9) Matrix(4291,10266,-3152,-7541) -> Matrix(11,-8,-92,67) Matrix(2087,4988,582,1391) -> Matrix(1,-2,-2,5) Matrix(2551,6090,-1118,-2669) -> Matrix(1,4,-4,-15) Matrix(463,1102,292,695) -> Matrix(1,0,8,1) Matrix(465,1102,392,929) -> Matrix(1,0,10,1) Matrix(1275,3016,-736,-1741) -> Matrix(5,2,-28,-11) Matrix(173,406,-124,-291) -> Matrix(5,2,-38,-15) Matrix(927,2146,200,463) -> Matrix(7,2,10,3) Matrix(1507,3480,954,2203) -> Matrix(7,2,38,11) Matrix(579,1334,352,811) -> Matrix(1,0,10,1) Matrix(581,1334,152,349) -> Matrix(7,2,24,7) Matrix(405,928,278,637) -> Matrix(7,2,52,15) Matrix(4349,9918,2670,6089) -> Matrix(25,6,154,37) Matrix(2087,4756,814,1855) -> Matrix(1,0,8,1) Matrix(637,1450,76,173) -> Matrix(1,0,4,1) Matrix(3365,7656,-1886,-4291) -> Matrix(7,2,-46,-13) Matrix(1277,2900,358,813) -> Matrix(1,0,4,1) Matrix(3247,7366,-2506,-5685) -> Matrix(1,0,-6,1) Matrix(871,1972,-640,-1449) -> Matrix(3,2,-26,-17) Matrix(233,522,104,233) -> Matrix(7,2,24,7) Matrix(521,1160,234,521) -> Matrix(9,2,40,9) Matrix(811,1798,-576,-1277) -> Matrix(1,0,-4,1) Matrix(289,638,236,521) -> Matrix(1,0,12,1) Matrix(347,754,-214,-465) -> Matrix(7,2,-46,-13) Matrix(349,754,-268,-579) -> Matrix(7,2,-60,-17) Matrix(407,870,-298,-637) -> Matrix(1,0,-4,1) Matrix(521,986,214,405) -> Matrix(11,2,104,19) Matrix(1335,2494,-1024,-1913) -> Matrix(37,6,-290,-47) Matrix(2203,4060,-1700,-3133) -> Matrix(1,0,-4,1) Matrix(7657,14094,-4726,-8699) -> Matrix(21,4,-142,-27) Matrix(347,638,-316,-581) -> Matrix(1,0,-4,1) Matrix(349,638,64,117) -> Matrix(1,0,8,1) Matrix(637,1160,-542,-987) -> Matrix(1,0,-2,1) Matrix(639,1160,352,639) -> Matrix(1,0,14,1) Matrix(289,522,160,289) -> Matrix(1,0,10,1) Matrix(2553,4582,-1486,-2667) -> Matrix(25,6,-146,-35) Matrix(4465,8004,1326,2377) -> Matrix(11,2,38,7) Matrix(3827,6844,-2660,-4757) -> Matrix(1,0,-2,1) Matrix(1915,3422,812,1451) -> Matrix(11,2,16,3) Matrix(7539,13456,3314,5915) -> Matrix(23,4,86,15) Matrix(7541,13456,3316,5917) -> Matrix(25,4,106,17) Matrix(813,1450,716,1277) -> Matrix(1,0,16,1) Matrix(2669,4756,1628,2901) -> Matrix(1,0,14,1) Matrix(1043,1856,-848,-1509) -> Matrix(1,0,-4,1) Matrix(523,928,164,291) -> Matrix(1,0,8,1) Matrix(753,1334,556,985) -> Matrix(9,2,76,17) Matrix(755,1334,296,523) -> Matrix(1,0,10,1) Matrix(1973,3480,724,1277) -> Matrix(9,2,40,9) Matrix(1219,2146,956,1683) -> Matrix(9,2,76,17) Matrix(1971,3422,868,1507) -> Matrix(11,2,38,7) Matrix(14443,25056,-8926,-15485) -> Matrix(111,20,-716,-129) Matrix(7771,13456,3282,5683) -> Matrix(11,2,-6,-1) Matrix(7773,13456,3284,5685) -> Matrix(23,4,40,7) Matrix(637,1102,100,173) -> Matrix(11,2,-6,-1) Matrix(639,1102,236,407) -> Matrix(11,2,38,7) Matrix(1449,2494,-1180,-2031) -> Matrix(23,4,-144,-25) Matrix(2901,4988,2092,3597) -> Matrix(231,40,1796,311) Matrix(14615,25114,-10734,-18445) -> Matrix(395,68,-3282,-565) Matrix(5335,9164,3376,5799) -> Matrix(35,6,204,35) Matrix(407,696,238,407) -> Matrix(83,14,492,83) Matrix(579,986,340,579) -> Matrix(109,18,660,109) Matrix(581,986,274,465) -> Matrix(49,8,202,33) Matrix(5915,10034,2256,3827) -> Matrix(37,6,154,25) Matrix(753,1276,-514,-871) -> Matrix(37,6,-290,-47) Matrix(755,1276,584,987) -> Matrix(25,4,206,33) Matrix(2203,3712,-1584,-2669) -> Matrix(37,6,-290,-47) Matrix(173,290,34,57) -> Matrix(13,2,32,5) Matrix(1159,1914,-984,-1625) -> Matrix(1,0,-2,1) Matrix(2145,3538,-1372,-2263) -> Matrix(11,2,-72,-13) Matrix(811,1334,352,579) -> Matrix(1,0,10,1) Matrix(813,1334,142,233) -> Matrix(15,2,22,3) Matrix(2901,4756,1628,2669) -> Matrix(1,0,14,1) Matrix(12991,21286,-9912,-16241) -> Matrix(1,0,0,1) Matrix(4639,7598,1770,2899) -> Matrix(1,0,10,1) Matrix(8235,13456,3194,5219) -> Matrix(11,2,38,7) Matrix(8237,13456,3196,5221) -> Matrix(13,2,58,9) Matrix(1101,1798,248,405) -> Matrix(1,0,8,1) Matrix(1103,1798,392,639) -> Matrix(11,2,38,7) Matrix(7831,12760,4806,7831) -> Matrix(59,10,348,59) Matrix(17979,29290,11036,17979) -> Matrix(169,28,1020,169) Matrix(5163,8410,962,1567) -> Matrix(49,8,104,17) Matrix(463,754,-428,-697) -> Matrix(25,4,-244,-39) Matrix(927,1508,142,231) -> Matrix(13,2,6,1) Matrix(6729,10904,-4724,-7655) -> Matrix(25,4,-194,-31) Matrix(51909,84100,19868,32189) -> Matrix(27,4,74,11) Matrix(51911,84100,19870,32191) -> Matrix(15,2,52,7) Matrix(4583,7424,-3186,-5161) -> Matrix(13,2,-98,-15) Matrix(42513,68788,11936,19313) -> Matrix(13,2,110,17) Matrix(52085,84274,14626,23665) -> Matrix(13,2,-176,-27) Matrix(8353,13514,3012,4873) -> Matrix(53,8,192,29) Matrix(3479,5626,2510,4059) -> Matrix(23,4,178,31) Matrix(4699,7598,1830,2959) -> Matrix(13,2,58,9) Matrix(6207,10034,2548,4119) -> Matrix(13,2,110,17) Matrix(755,1218,468,755) -> Matrix(13,2,84,13) Matrix(289,464,180,289) -> Matrix(13,2,84,13) Matrix(291,464,-254,-405) -> Matrix(13,2,-124,-19) Matrix(1277,2030,-948,-1507) -> Matrix(13,2,-124,-19) Matrix(695,1102,292,463) -> Matrix(1,0,8,1) Matrix(2089,3306,1320,2089) -> Matrix(1,0,14,1) Matrix(7481,11832,4730,7481) -> Matrix(1,0,6,1) Matrix(697,1102,74,117) -> Matrix(1,0,4,1) Matrix(5799,9164,3376,5335) -> Matrix(35,6,204,35) Matrix(4001,6322,3046,4813) -> Matrix(1,0,12,1) Matrix(2203,3480,954,1507) -> Matrix(11,2,38,7) Matrix(405,638,-332,-523) -> Matrix(1,0,-2,1) Matrix(2145,3364,776,1217) -> Matrix(59,10,230,39) Matrix(2147,3364,778,1219) -> Matrix(73,12,298,49) Matrix(927,1450,296,463) -> Matrix(25,4,56,9) Matrix(8641,13514,3300,5161) -> Matrix(13,2,58,9) Matrix(521,812,-410,-639) -> Matrix(13,2,-98,-15) Matrix(1159,1798,448,695) -> Matrix(13,2,6,1) Matrix(639,986,-488,-753) -> Matrix(27,4,-196,-29) Matrix(1509,2320,-1282,-1971) -> Matrix(27,4,-250,-37) Matrix(871,1334,190,291) -> Matrix(55,8,48,7) Matrix(987,1450,356,523) -> Matrix(31,4,116,15) Matrix(637,928,278,405) -> Matrix(15,2,52,7) Matrix(639,928,440,639) -> Matrix(15,2,112,15) Matrix(521,754,360,521) -> Matrix(15,2,112,15) Matrix(2377,3422,2054,2957) -> Matrix(43,6,394,55) Matrix(5279,7598,3426,4931) -> Matrix(13,2,84,13) Matrix(1857,2668,1454,2089) -> Matrix(1,0,16,1) Matrix(11311,16240,7878,11311) -> Matrix(27,4,182,27) Matrix(17979,25810,12524,17979) -> Matrix(99,14,700,99) Matrix(4001,5742,848,1217) -> Matrix(29,4,-22,-3) Matrix(4291,6148,-3644,-5221) -> Matrix(15,2,-128,-17) Matrix(3769,5394,-2716,-3887) -> Matrix(17,2,-128,-15) Matrix(3017,4292,2610,3713) -> Matrix(77,10,716,93) Matrix(5627,8004,2488,3539) -> Matrix(15,2,22,3) Matrix(4813,6844,-3794,-5395) -> Matrix(31,4,-256,-33) Matrix(1797,2552,1102,1565) -> Matrix(31,4,178,23) Matrix(2377,3364,696,985) -> Matrix(127,16,246,31) Matrix(2379,3364,698,987) -> Matrix(129,16,266,33) Matrix(4813,6786,2920,4117) -> Matrix(17,2,110,13) Matrix(8641,12180,-6214,-8759) -> Matrix(33,4,-256,-31) Matrix(60609,84274,23150,32189) -> Matrix(31,4,116,15) Matrix(49475,68788,18898,26275) -> Matrix(31,4,116,15) Matrix(2087,2900,1168,1623) -> Matrix(31,4,178,23) Matrix(60609,84100,16928,23489) -> Matrix(15,2,-38,-5) Matrix(60611,84100,16930,23491) -> Matrix(31,4,-8,-1) Matrix(2843,3944,-2466,-3421) -> Matrix(15,2,-158,-21) Matrix(3597,4988,2092,2901) -> Matrix(311,40,1796,231) Matrix(4059,5626,2510,3479) -> Matrix(31,4,178,23) Matrix(755,1044,546,755) -> Matrix(111,14,880,111) Matrix(463,638,336,463) -> Matrix(65,8,528,65) Matrix(465,638,-422,-579) -> Matrix(33,4,-322,-39) Matrix(1101,1508,-890,-1219) -> Matrix(17,2,-128,-15) Matrix(1739,2378,-1358,-1857) -> Matrix(1,0,0,1) Matrix(2377,3248,1400,1913) -> Matrix(65,8,398,49) Matrix(5451,7424,3832,5219) -> Matrix(1,0,16,1) Matrix(61769,84100,16400,22329) -> Matrix(333,40,974,117) Matrix(61771,84100,16402,22331) -> Matrix(417,50,1276,153) Matrix(811,1102,170,231) -> Matrix(17,2,-26,-3) Matrix(985,1334,556,753) -> Matrix(17,2,76,9) Matrix(2493,3364,644,869) -> Matrix(89,10,258,29) Matrix(2495,3364,646,871) -> Matrix(73,8,228,25) Matrix(175,232,132,175) -> Matrix(1,0,18,1) Matrix(1101,1450,836,1101) -> Matrix(1,0,10,1) Matrix(2029,2668,308,405) -> Matrix(1,0,6,1) Matrix(4813,6322,3046,4001) -> Matrix(1,0,12,1) Matrix(4467,5858,1018,1335) -> Matrix(15,2,22,3) Matrix(41063,53824,9734,12759) -> Matrix(1,0,14,1) Matrix(41065,53824,9736,12761) -> Matrix(1,0,6,1) Matrix(755,986,134,175) -> Matrix(15,2,22,3) Matrix(10323,13456,2402,3131) -> Matrix(159,20,310,39) Matrix(10325,13456,2404,3133) -> Matrix(145,18,298,37) Matrix(4523,5858,1074,1391) -> Matrix(1,0,10,1) Matrix(1971,2552,268,347) -> Matrix(1,0,12,1) Matrix(987,1276,584,755) -> Matrix(33,4,206,25) Matrix(1393,1798,540,697) -> Matrix(1,0,12,1) Matrix(407,522,46,59) -> Matrix(1,0,8,1) Matrix(4351,5568,3400,4351) -> Matrix(17,2,144,17) Matrix(7481,9570,5848,7481) -> Matrix(17,2,144,17) Matrix(1043,1334,362,463) -> Matrix(1,0,12,1) Matrix(2089,2668,1454,1857) -> Matrix(1,0,16,1) Matrix(4409,5626,2728,3481) -> Matrix(17,2,110,13) Matrix(1683,2146,956,1219) -> Matrix(17,2,76,9) Matrix(10555,13456,2274,2899) -> Matrix(89,10,80,9) Matrix(10557,13456,2276,2901) -> Matrix(73,8,82,9) Matrix(4525,5742,1372,1741) -> Matrix(17,2,42,5) Matrix(871,1102,230,291) -> Matrix(1,0,12,1) Matrix(1103,1392,874,1103) -> Matrix(17,2,144,17) Matrix(231,290,184,231) -> Matrix(1,0,18,1) Matrix(233,290,94,117) -> Matrix(1,0,14,1) Matrix(2725,3364,516,637) -> Matrix(1,0,12,1) Matrix(2727,3364,518,639) -> Matrix(1,0,8,1) Matrix(6843,8410,2642,3247) -> Matrix(1,0,20,1) Matrix(521,638,236,289) -> Matrix(1,0,12,1) Matrix(811,986,190,231) -> Matrix(1,0,10,1) Matrix(1101,1334,430,521) -> Matrix(17,2,76,9) Matrix(1103,1334,912,1103) -> Matrix(17,2,144,17) Matrix(289,348,240,289) -> Matrix(17,2,144,17) Matrix(2727,3248,1900,2263) -> Matrix(37,4,268,29) Matrix(929,1102,392,465) -> Matrix(1,0,10,1) Matrix(1277,1508,492,581) -> Matrix(1,0,14,1) Matrix(2263,2668,542,639) -> Matrix(15,2,22,3) Matrix(349,406,300,349) -> Matrix(35,4,306,35) Matrix(1101,1276,950,1101) -> Matrix(127,14,1152,127) Matrix(2205,2552,502,581) -> Matrix(55,6,64,7) Matrix(3713,4292,2610,3017) -> Matrix(93,10,716,77) Matrix(1277,1450,716,813) -> Matrix(1,0,16,1) Matrix(463,522,102,115) -> Matrix(19,2,28,3) Matrix(985,1102,362,405) -> Matrix(1,0,14,1) Matrix(1,0,2,1) -> Matrix(1,0,22,1) Matrix(523,-580,156,-173) -> Matrix(19,-2,48,-5) Matrix(405,-464,254,-291) -> Matrix(19,-2,124,-13) Matrix(347,-406,100,-117) -> Matrix(17,-2,26,-3) Matrix(1625,-1914,984,-1159) -> Matrix(1,0,-2,1) Matrix(927,-1102,196,-233) -> Matrix(1,0,-10,1) Matrix(523,-638,332,-405) -> Matrix(1,0,-2,1) Matrix(2031,-2494,1180,-1449) -> Matrix(25,-4,144,-23) Matrix(753,-928,142,-175) -> Matrix(1,0,-6,1) Matrix(1219,-1508,890,-1101) -> Matrix(15,-2,128,-17) Matrix(639,-812,410,-521) -> Matrix(15,-2,98,-13) Matrix(1275,-1624,274,-349) -> Matrix(19,-2,10,-1) Matrix(6089,-7772,2500,-3191) -> Matrix(1,0,0,1) Matrix(1857,-2378,1358,-1739) -> Matrix(1,0,0,1) Matrix(581,-754,178,-231) -> Matrix(1,0,-6,1) Matrix(579,-754,268,-349) -> Matrix(17,-2,60,-7) Matrix(753,-986,488,-639) -> Matrix(29,-4,196,-27) Matrix(1159,-1566,430,-581) -> Matrix(17,-2,94,-11) Matrix(1449,-1972,640,-871) -> Matrix(17,-2,26,-3) Matrix(637,-870,298,-407) -> Matrix(1,0,-4,1) Matrix(1565,-2146,466,-639) -> Matrix(17,-2,26,-3) Matrix(1797,-2494,544,-755) -> Matrix(31,-4,70,-9) Matrix(291,-406,124,-173) -> Matrix(15,-2,38,-5) Matrix(289,-406,42,-59) -> Matrix(1,0,-8,1) Matrix(2261,-3190,864,-1219) -> Matrix(17,-2,60,-7) Matrix(985,-1392,288,-407) -> Matrix(49,-6,90,-11) Matrix(695,-986,246,-349) -> Matrix(15,-2,68,-9) Matrix(1509,-2146,244,-347) -> Matrix(31,-4,8,-1) Matrix(1507,-2146,408,-581) -> Matrix(15,-2,98,-13) Matrix(1739,-2494,486,-697) -> Matrix(15,-2,-22,3) Matrix(523,-754,120,-173) -> Matrix(1,0,-6,1) Matrix(871,-1276,514,-753) -> Matrix(47,-6,290,-37) Matrix(869,-1334,114,-175) -> Matrix(41,-6,48,-7) Matrix(5799,-8932,2260,-3481) -> Matrix(27,-4,88,-13) Matrix(637,-986,188,-291) -> Matrix(53,-8,126,-19) Matrix(929,-1450,148,-231) -> Matrix(13,-2,-6,1) Matrix(2263,-3538,1372,-2145) -> Matrix(13,-2,72,-11) Matrix(1333,-2088,482,-755) -> Matrix(49,-8,190,-31) Matrix(985,-1566,256,-407) -> Matrix(13,-2,46,-7) Matrix(1567,-2494,546,-869) -> Matrix(13,-2,46,-7) Matrix(1971,-3190,574,-929) -> Matrix(25,-4,44,-7) Matrix(465,-754,214,-347) -> Matrix(13,-2,46,-7) Matrix(6091,-9918,1816,-2957) -> Matrix(13,-2,20,-3) Matrix(1277,-2088,496,-811) -> Matrix(1,0,-2,1) Matrix(6265,-10266,1486,-2435) -> Matrix(1,0,-4,1) Matrix(1333,-2204,176,-291) -> Matrix(13,-2,20,-3) Matrix(2031,-3422,860,-1449) -> Matrix(25,-4,44,-7) Matrix(4581,-7772,992,-1683) -> Matrix(37,-6,-6,1) Matrix(5975,-10266,1586,-2725) -> Matrix(35,-6,76,-13) Matrix(3539,-6090,1988,-3421) -> Matrix(23,-4,52,-9) Matrix(1741,-3016,736,-1275) -> Matrix(11,-2,28,-5) Matrix(233,-406,66,-115) -> Matrix(11,-2,6,-1) Matrix(4291,-7656,1886,-3365) -> Matrix(13,-2,46,-7) Matrix(4119,-7366,940,-1681) -> Matrix(1,0,-4,1) Matrix(1101,-1972,292,-523) -> Matrix(1,0,-2,1) Matrix(987,-1798,286,-521) -> Matrix(13,-2,20,-3) Matrix(407,-754,156,-289) -> Matrix(1,0,-2,1) Matrix(405,-754,94,-175) -> Matrix(13,-2,20,-3) Matrix(463,-870,124,-233) -> Matrix(23,-4,98,-17) Matrix(1159,-2494,270,-581) -> Matrix(23,-6,50,-13) Matrix(1857,-4060,424,-927) -> Matrix(1,0,-2,1) Matrix(6437,-14094,2464,-5395) -> Matrix(5,-2,18,-7) Matrix(291,-638,26,-57) -> Matrix(1,0,-4,1) Matrix(523,-1160,78,-173) -> Matrix(1,0,-4,1) Matrix(2029,-4582,848,-1915) -> Matrix(7,-2,-10,3) Matrix(3017,-6844,920,-2087) -> Matrix(1,0,0,1) Matrix(813,-1856,152,-347) -> Matrix(7,-2,18,-5) Matrix(10613,-25056,4054,-9571) -> Matrix(1,0,2,1) Matrix(1045,-2494,194,-463) -> Matrix(1,-2,2,-3) Matrix(10499,-25114,2788,-6669) -> Matrix(7,6,22,19) Matrix(523,-1276,166,-405) -> Matrix(1,0,-6,1) Matrix(1509,-3712,424,-1043) -> Matrix(1,0,-8,1) Matrix(755,-1914,114,-289) -> Matrix(1,0,-4,1) Matrix(1393,-3538,502,-1275) -> Matrix(9,-2,32,-7) Matrix(8295,-21286,1966,-5045) -> Matrix(1,0,0,1) Matrix(291,-754,22,-57) -> Matrix(1,0,-8,1) Matrix(4175,-10904,1244,-3249) -> Matrix(7,-2,18,-5) Matrix(2841,-7424,866,-2263) -> Matrix(1,0,0,1) Matrix(173,-464,22,-59) -> Matrix(1,0,-4,1) Matrix(753,-2030,194,-523) -> Matrix(11,-2,28,-5) Matrix(233,-638,42,-115) -> Matrix(9,-2,14,-3) Matrix(291,-812,62,-173) -> Matrix(1,0,-4,1) Matrix(347,-986,82,-233) -> Matrix(7,-2,18,-5) Matrix(811,-2320,122,-349) -> Matrix(7,-2,4,-1) Matrix(1857,-6148,280,-927) -> Matrix(1,0,-2,1) Matrix(1625,-5394,454,-1507) -> Matrix(1,0,-4,1) Matrix(2031,-6844,430,-1449) -> Matrix(1,0,-4,1) Matrix(3539,-12180,994,-3421) -> Matrix(3,-2,-10,7) Matrix(1101,-3944,146,-523) -> Matrix(3,2,4,3) Matrix(173,-638,16,-59) -> Matrix(1,0,-6,1) Matrix(407,-1508,78,-289) -> Matrix(1,0,-4,1) Matrix(639,-2378,140,-521) -> Matrix(19,-4,24,-5) 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): 104 Degree of the the map X: 104 Degree of the the map Y: 420 ----------------------------------------------------------------------- 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): 1260 Minimal number of generators: 211 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: 56 Genus: 78 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 1/1 29/25 29/24 29/23 87/68 29/22 29/21 29/20 3/2 87/55 29/18 29/17 29/16 2/1 29/13 29/12 5/2 145/56 377/144 21/8 29/11 87/32 3/1 29/9 145/44 27/8 7/2 29/8 58/15 4/1 29/7 25/6 116/27 13/3 9/2 87/19 14/3 19/4 29/6 5/1 11/2 17/3 23/4 29/5 6/1 13/2 7/1 29/4 15/2 8/1 17/2 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 -1/1 -9/1 1/1 -8/1 -1/1 -15/2 -1/2 0/1 -7/1 1/1 -13/2 -1/1 1/0 -6/1 -1/1 -29/5 -1/1 -23/4 -1/1 -3/4 -17/3 -3/5 -11/2 -1/2 0/1 -16/3 -1/3 -5/1 -1/3 -19/4 0/1 1/1 -14/3 -3/1 -51/11 -1/1 -37/8 -1/1 0/1 -23/5 -1/1 -55/12 -9/8 -1/1 -87/19 -1/1 -32/7 -1/1 -9/2 -1/1 -1/2 -13/3 -1/1 -30/7 -1/3 -17/4 -1/1 -1/2 -21/5 -1/1 -25/6 -3/5 -1/2 -29/7 -1/2 -4/1 -1/3 -19/5 -1/3 -34/9 -1/3 -15/4 -2/7 -1/4 -41/11 -5/23 -67/18 -3/14 -1/5 -26/7 -1/5 -37/10 -1/5 0/1 -11/3 -1/7 -7/2 -1/1 0/1 -10/3 -1/3 -33/10 -1/2 -1/3 -56/17 -1/3 -23/7 -1/3 -13/4 -1/2 -1/3 -29/9 -1/3 -16/5 -1/3 -3/1 -1/3 -20/7 -1/3 -17/6 -3/11 -1/4 -14/5 -3/13 -11/4 -1/4 -2/9 -41/15 -1/3 -30/11 -3/13 -49/18 -1/4 -1/5 -19/7 -1/5 -27/10 -3/14 -1/5 -35/13 -1/5 -43/16 -1/6 0/1 -8/3 -1/5 -29/11 0/1 -21/8 -1/3 0/1 -55/21 -1/3 -34/13 -1/5 -13/5 -1/5 -57/22 -1/8 0/1 -44/17 1/3 -31/12 -1/3 -1/4 -18/7 -1/3 -5/2 -1/5 0/1 -12/5 1/3 -43/18 4/1 1/0 -31/13 -1/1 -19/8 -1/1 0/1 -26/11 -1/1 -7/3 -1/3 -37/16 -1/3 -2/7 -30/13 -1/3 -23/10 -1/3 -1/4 -16/7 -1/3 -9/4 -1/3 -1/4 -29/13 -1/4 -20/9 -1/5 -11/5 -1/5 -2/1 -1/5 -15/8 -6/35 -1/6 -28/15 -3/19 -13/7 -1/7 -11/6 -1/6 0/1 -9/5 -1/5 -43/24 -2/11 -1/6 -34/19 -1/5 -25/14 -1/5 -1/6 -66/37 -1/7 -41/23 -1/5 -57/32 -1/8 0/1 -16/9 -1/5 -7/4 -1/5 -2/11 -12/7 -7/41 -29/17 -1/6 -17/10 -1/6 -9/55 -5/3 -1/7 -28/17 -1/7 -23/14 -1/6 -1/7 -41/25 -1/9 -59/36 -1/6 0/1 -18/11 -1/5 -13/8 -1/6 -1/7 -8/5 -1/7 -35/22 -1/6 -1/7 -27/17 -1/7 -19/12 -1/7 0/1 -87/55 0/1 -68/43 -1/3 -49/31 -1/5 -79/50 -1/5 0/1 -30/19 -1/5 -11/7 -1/5 -25/16 -1/6 -3/19 -14/9 -7/45 -17/11 -7/47 -20/13 -1/7 -23/15 -1/7 -3/2 -1/7 -1/8 -13/9 -1/7 -23/16 -1/7 -1/8 -10/7 -1/7 -47/33 -1/7 -37/26 -2/15 -3/23 -27/19 -3/23 -44/31 -1/9 -17/12 -5/39 -1/8 -7/5 -1/7 -32/23 -3/23 -57/41 -3/23 -25/18 -3/23 -1/8 -18/13 -7/55 -29/21 -1/8 -11/8 -1/8 -4/33 -15/11 -5/41 -19/14 -2/17 -1/9 -23/17 -1/9 -27/20 -5/44 -1/9 -4/3 -1/9 -21/16 -1/7 0/1 -38/29 -1/7 -17/13 -1/9 -30/23 -3/23 -13/10 -1/8 -1/9 -22/17 -1/7 -31/24 -1/8 -1/9 -9/7 -1/9 -32/25 -1/9 -23/18 -1/8 -1/9 -37/29 -1/9 -14/11 -1/11 -33/26 -1/8 -1/9 -19/15 -1/9 -24/19 -1/9 -29/23 -1/9 -5/4 -1/9 0/1 -11/9 -1/7 -28/23 -1/7 -17/14 -1/8 -1/9 -6/5 -1/9 -7/6 -2/17 -1/9 -29/25 -1/9 -22/19 -1/9 -15/13 -5/47 -8/7 -1/9 -17/15 -1/11 -9/8 -1/9 -1/10 -1/1 -1/11 0/1 0/1 1/1 1/11 9/8 1/10 1/9 17/15 1/11 8/7 1/9 15/13 5/47 22/19 1/9 29/25 1/9 7/6 1/9 2/17 13/11 1/9 19/16 0/1 1/9 6/5 1/9 29/24 0/1 2/17 23/19 1/9 17/14 1/9 1/8 11/9 1/7 5/4 0/1 1/9 29/23 1/9 24/19 1/9 19/15 1/9 14/11 1/11 37/29 1/9 23/18 1/9 1/8 55/43 1/9 87/68 0/1 2/17 32/25 1/9 9/7 1/9 31/24 1/9 1/8 22/17 1/7 13/10 1/9 1/8 30/23 3/23 17/13 1/9 21/16 0/1 1/7 25/19 1/5 29/22 0/1 4/3 1/9 23/17 1/9 19/14 1/9 2/17 15/11 5/41 11/8 4/33 1/8 29/21 1/8 18/13 7/55 25/18 1/8 3/23 7/5 1/7 31/22 1/9 1/8 24/17 3/25 17/12 1/8 5/39 27/19 3/23 64/45 3/23 37/26 3/23 2/15 10/7 1/7 33/23 1/7 89/62 7/50 1/7 145/101 1/7 56/39 1/7 23/16 1/8 1/7 13/9 1/7 29/20 0/1 2/15 16/11 1/7 3/2 1/8 1/7 23/15 1/7 20/13 1/7 37/24 1/7 4/27 17/11 7/47 14/9 7/45 39/25 3/19 25/16 3/19 1/6 11/7 1/5 41/26 1/7 1/6 30/19 1/5 79/50 0/1 1/5 49/31 1/5 68/43 1/3 87/55 0/1 19/12 0/1 1/7 27/17 1/7 35/22 1/7 1/6 8/5 1/7 29/18 0/1 2/13 21/13 1/7 13/8 1/7 1/6 57/35 5/31 101/62 14/85 1/6 145/89 1/6 44/27 5/29 31/19 1/5 18/11 1/5 77/47 1/5 59/36 0/1 1/6 41/25 1/9 23/14 1/7 1/6 28/17 1/7 33/20 1/7 1/6 5/3 1/7 32/19 3/19 27/16 3/19 1/6 22/13 5/31 17/10 9/55 1/6 29/17 1/6 12/7 7/41 43/25 21/121 31/18 7/40 3/17 19/11 3/17 7/4 2/11 1/5 23/13 1/5 39/22 0/1 1/5 16/9 1/5 57/32 0/1 1/8 41/23 1/5 66/37 1/7 25/14 1/6 1/5 59/33 1/5 34/19 1/5 9/5 1/5 29/16 0/1 20/11 1/7 11/6 0/1 1/6 13/7 1/7 15/8 1/6 6/35 2/1 1/5 15/7 5/21 28/13 5/19 13/6 1/4 1/3 11/5 1/5 31/14 1/5 1/4 20/9 1/5 29/13 1/4 9/4 1/4 1/3 16/7 1/3 23/10 1/4 1/3 30/13 1/3 37/16 2/7 1/3 7/3 1/3 33/14 1/2 1/1 59/25 1/1 85/36 1/2 1/1 26/11 1/1 45/19 1/1 19/8 0/1 1/1 31/13 1/1 43/18 -4/1 1/0 12/5 -1/3 29/12 0/1 17/7 1/13 5/2 0/1 1/5 18/7 1/3 49/19 1/3 31/12 1/4 1/3 44/17 -1/3 145/56 0/1 101/39 1/19 57/22 0/1 1/8 13/5 1/5 34/13 1/5 89/34 1/4 1/3 233/89 1/3 377/144 0/1 2/7 144/55 1/3 55/21 1/3 21/8 0/1 1/3 29/11 0/1 8/3 1/5 35/13 1/5 62/23 1/5 27/10 1/5 3/14 19/7 1/5 87/32 0/1 2/9 68/25 1/5 49/18 1/5 1/4 30/11 3/13 11/4 2/9 1/4 14/5 3/13 31/11 1/3 17/6 1/4 3/11 20/7 1/3 3/1 1/3 19/6 0/1 1/3 16/5 1/3 29/9 1/3 13/4 1/3 1/2 23/7 1/3 56/17 1/3 145/44 0/1 2/5 89/27 1/3 33/10 1/3 1/2 10/3 1/3 27/8 1/3 3/8 44/13 11/27 17/5 5/11 7/2 0/1 1/1 18/5 -1/5 29/8 0/1 11/3 1/7 48/13 1/7 37/10 0/1 1/5 26/7 1/5 41/11 5/23 15/4 1/4 2/7 64/17 1/3 49/13 1/3 34/9 1/3 19/5 1/3 23/6 1/4 1/3 27/7 1/3 58/15 1/3 31/8 1/3 5/14 4/1 1/3 29/7 1/2 25/6 1/2 3/5 21/5 1/1 38/9 1/3 17/4 1/2 1/1 30/7 1/3 73/17 11/23 116/27 1/2 43/10 1/2 8/15 13/3 1/1 9/2 1/2 1/1 41/9 3/5 32/7 1/1 87/19 1/1 55/12 1/1 9/8 23/5 1/1 60/13 1/1 37/8 0/1 1/1 51/11 1/1 14/3 3/1 19/4 -1/1 0/1 24/5 -1/5 29/6 0/1 5/1 1/3 16/3 1/3 11/2 0/1 1/2 28/5 1/3 17/3 3/5 23/4 3/4 1/1 29/5 1/1 6/1 1/1 13/2 1/1 1/0 7/1 -1/1 29/4 0/1 22/3 1/5 15/2 0/1 1/2 38/5 1/1 23/3 1/1 8/1 1/1 17/2 1/1 1/0 9/1 -1/1 10/1 1/1 11/1 1/1 1/0 0/1 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(59,667,36,407) (-10/1,1/0) -> (77/47,59/36) Hyperbolic Matrix(117,1102,74,697) (-10/1,-9/1) -> (49/31,68/43) Hyperbolic Matrix(59,493,14,117) (-9/1,-8/1) -> (21/5,38/9) Hyperbolic Matrix(59,464,-22,-173) (-8/1,-15/2) -> (-43/16,-8/3) Hyperbolic Matrix(59,435,8,59) (-15/2,-7/1) -> (22/3,15/2) Hyperbolic Matrix(57,377,-44,-291) (-7/1,-13/2) -> (-13/10,-22/17) Hyperbolic Matrix(59,377,-18,-115) (-13/2,-6/1) -> (-23/7,-13/4) Hyperbolic Matrix(59,348,10,59) (-6/1,-29/5) -> (29/5,6/1) Hyperbolic Matrix(231,1334,40,231) (-29/5,-23/4) -> (23/4,29/5) Hyperbolic Matrix(233,1334,142,813) (-23/4,-17/3) -> (41/25,23/14) Hyperbolic Matrix(115,638,-42,-233) (-17/3,-11/2) -> (-11/4,-41/15) Hyperbolic Matrix(59,319,-32,-173) (-11/2,-16/3) -> (-13/7,-11/6) Hyperbolic Matrix(115,609,-44,-233) (-16/3,-5/1) -> (-34/13,-13/5) Hyperbolic Matrix(115,551,24,115) (-5/1,-19/4) -> (19/4,24/5) Hyperbolic Matrix(117,551,-86,-405) (-19/4,-14/3) -> (-15/11,-19/14) Hyperbolic Matrix(231,1073,-200,-929) (-14/3,-51/11) -> (-22/19,-15/13) Hyperbolic Matrix(463,2146,200,927) (-51/11,-37/8) -> (37/16,7/3) Hyperbolic Matrix(697,3219,490,2263) (-37/8,-23/5) -> (64/45,37/26) Hyperbolic Matrix(291,1334,190,871) (-23/5,-55/12) -> (3/2,23/15) Hyperbolic Matrix(2089,9570,456,2089) (-55/12,-87/19) -> (87/19,55/12) Hyperbolic Matrix(1217,5568,266,1217) (-87/19,-32/7) -> (32/7,87/19) Hyperbolic Matrix(521,2378,-140,-639) (-32/7,-9/2) -> (-67/18,-26/7) Hyperbolic Matrix(59,261,-26,-115) (-9/2,-13/3) -> (-16/7,-9/4) Hyperbolic Matrix(175,754,-94,-405) (-13/3,-30/7) -> (-28/15,-13/7) Hyperbolic Matrix(407,1740,258,1103) (-30/7,-17/4) -> (41/26,30/19) Hyperbolic Matrix(117,493,14,59) (-17/4,-21/5) -> (8/1,17/2) Hyperbolic Matrix(521,2175,-292,-1219) (-21/5,-25/6) -> (-25/14,-66/37) Hyperbolic Matrix(349,1450,84,349) (-25/6,-29/7) -> (29/7,25/6) Hyperbolic Matrix(57,232,14,57) (-29/7,-4/1) -> (4/1,29/7) Hyperbolic Matrix(175,667,122,465) (-4/1,-19/5) -> (10/7,33/23) Hyperbolic Matrix(291,1102,230,871) (-19/5,-34/9) -> (24/19,19/15) Hyperbolic Matrix(523,1972,-292,-1101) (-34/9,-15/4) -> (-43/24,-34/19) Hyperbolic Matrix(521,1943,-218,-813) (-15/4,-41/11) -> (-12/5,-43/18) Hyperbolic Matrix(405,1508,358,1333) (-41/11,-67/18) -> (9/8,17/15) Hyperbolic Matrix(697,2581,-266,-985) (-26/7,-37/10) -> (-21/8,-55/21) Hyperbolic Matrix(581,2146,-408,-1507) (-37/10,-11/3) -> (-47/33,-37/26) Hyperbolic Matrix(57,203,16,57) (-11/3,-7/2) -> (7/2,18/5) Hyperbolic Matrix(59,203,34,117) (-7/2,-10/3) -> (19/11,7/4) Hyperbolic Matrix(289,957,-228,-755) (-10/3,-33/10) -> (-33/26,-19/15) Hyperbolic Matrix(1451,4785,440,1451) (-33/10,-56/17) -> (89/27,33/10) Hyperbolic Matrix(811,2668,176,579) (-56/17,-23/7) -> (23/5,60/13) Hyperbolic Matrix(233,754,72,233) (-13/4,-29/9) -> (29/9,13/4) Hyperbolic Matrix(289,928,90,289) (-29/9,-16/5) -> (16/5,29/9) Hyperbolic Matrix(175,551,74,233) (-16/5,-3/1) -> (26/11,45/19) Hyperbolic Matrix(233,667,-182,-521) (-3/1,-20/7) -> (-9/7,-32/25) Hyperbolic Matrix(173,493,20,57) (-20/7,-17/6) -> (17/2,9/1) Hyperbolic Matrix(349,986,-246,-695) (-17/6,-14/5) -> (-44/31,-17/12) Hyperbolic Matrix(115,319,-84,-233) (-14/5,-11/4) -> (-11/8,-15/11) Hyperbolic Matrix(637,1740,488,1333) (-41/15,-30/11) -> (30/23,17/13) Hyperbolic Matrix(117,319,-106,-289) (-30/11,-49/18) -> (-9/8,-1/1) Hyperbolic Matrix(1567,4263,576,1567) (-49/18,-19/7) -> (68/25,49/18) Hyperbolic Matrix(407,1102,236,639) (-19/7,-27/10) -> (31/18,19/11) Hyperbolic Matrix(581,1566,-430,-1159) (-27/10,-35/13) -> (-23/17,-27/20) Hyperbolic Matrix(1219,3277,324,871) (-35/13,-43/16) -> (15/4,64/17) Hyperbolic Matrix(175,464,66,175) (-8/3,-29/11) -> (29/11,8/3) Hyperbolic Matrix(463,1218,176,463) (-29/11,-21/8) -> (21/8,29/11) Hyperbolic Matrix(521,1363,310,811) (-55/21,-34/13) -> (5/3,32/19) Hyperbolic Matrix(637,1653,-358,-929) (-13/5,-57/22) -> (-57/32,-16/9) Hyperbolic Matrix(3191,8265,1232,3191) (-57/22,-44/17) -> (101/39,57/22) Hyperbolic Matrix(987,2552,292,755) (-44/17,-31/12) -> (27/8,44/13) Hyperbolic Matrix(349,899,158,407) (-31/12,-18/7) -> (11/5,31/14) Hyperbolic Matrix(57,145,-46,-117) (-18/7,-5/2) -> (-5/4,-11/9) Hyperbolic Matrix(59,145,24,59) (-5/2,-12/5) -> (17/7,5/2) Hyperbolic Matrix(231,551,-122,-291) (-43/18,-31/13) -> (-2/1,-15/8) Hyperbolic Matrix(463,1102,292,695) (-31/13,-19/8) -> (19/12,27/17) Hyperbolic Matrix(233,551,74,175) (-19/8,-26/11) -> (3/1,19/6) Hyperbolic Matrix(173,406,-124,-291) (-26/11,-7/3) -> (-7/5,-32/23) Hyperbolic Matrix(927,2146,200,463) (-7/3,-37/16) -> (37/8,51/11) Hyperbolic Matrix(1507,3480,954,2203) (-37/16,-30/13) -> (30/19,79/50) Hyperbolic Matrix(579,1334,352,811) (-30/13,-23/10) -> (23/14,28/17) Hyperbolic Matrix(291,667,-202,-463) (-23/10,-16/7) -> (-13/9,-23/16) Hyperbolic Matrix(233,522,104,233) (-9/4,-29/13) -> (29/13,9/4) Hyperbolic Matrix(521,1160,234,521) (-29/13,-20/9) -> (20/9,29/13) Hyperbolic Matrix(407,899,158,349) (-20/9,-11/5) -> (18/7,49/19) Hyperbolic Matrix(173,377,106,231) (-11/5,-2/1) -> (31/19,18/11) Hyperbolic Matrix(1971,3683,1210,2261) (-15/8,-28/15) -> (57/35,101/62) Hyperbolic Matrix(175,319,96,175) (-11/6,-9/5) -> (20/11,11/6) Hyperbolic Matrix(987,1769,130,233) (-9/5,-43/24) -> (15/2,38/5) Hyperbolic Matrix(697,1247,422,755) (-34/19,-25/14) -> (33/20,5/3) Hyperbolic Matrix(813,1450,716,1277) (-66/37,-41/23) -> (17/15,8/7) Hyperbolic Matrix(2669,4756,1628,2901) (-41/23,-57/32) -> (59/36,41/25) Hyperbolic Matrix(115,203,98,173) (-16/9,-7/4) -> (7/6,13/11) Hyperbolic Matrix(117,203,34,59) (-7/4,-12/7) -> (17/5,7/2) Hyperbolic Matrix(407,696,238,407) (-12/7,-29/17) -> (29/17,12/7) Hyperbolic Matrix(579,986,340,579) (-29/17,-17/10) -> (17/10,29/17) Hyperbolic Matrix(291,493,206,349) (-17/10,-5/3) -> (24/17,17/12) Hyperbolic Matrix(755,1247,422,697) (-5/3,-28/17) -> (59/33,34/19) Hyperbolic Matrix(811,1334,352,579) (-28/17,-23/14) -> (23/10,30/13) Hyperbolic Matrix(813,1334,142,233) (-23/14,-41/25) -> (17/3,23/4) Hyperbolic Matrix(2901,4756,1628,2669) (-41/25,-59/36) -> (57/32,41/23) Hyperbolic Matrix(407,667,36,59) (-59/36,-18/11) -> (11/1,1/0) Hyperbolic Matrix(231,377,106,173) (-18/11,-13/8) -> (13/6,11/5) Hyperbolic Matrix(233,377,144,233) (-13/8,-8/5) -> (21/13,13/8) Hyperbolic Matrix(929,1479,-728,-1159) (-8/5,-35/22) -> (-23/18,-37/29) Hyperbolic Matrix(1623,2581,1130,1797) (-35/22,-27/17) -> (56/39,23/16) Hyperbolic Matrix(695,1102,292,463) (-27/17,-19/12) -> (19/8,31/13) Hyperbolic Matrix(2089,3306,1320,2089) (-19/12,-87/55) -> (87/55,19/12) Hyperbolic Matrix(7481,11832,4730,7481) (-87/55,-68/43) -> (68/43,87/55) Hyperbolic Matrix(697,1102,74,117) (-68/43,-49/31) -> (9/1,10/1) Hyperbolic Matrix(2551,4031,-1946,-3075) (-49/31,-79/50) -> (-21/16,-38/29) Hyperbolic Matrix(2203,3480,954,1507) (-79/50,-30/19) -> (30/13,37/16) Hyperbolic Matrix(405,638,-332,-523) (-30/19,-11/7) -> (-11/9,-28/23) Hyperbolic Matrix(463,725,-334,-523) (-11/7,-25/16) -> (-25/18,-18/13) Hyperbolic Matrix(521,812,-410,-639) (-25/16,-14/9) -> (-14/11,-33/26) Hyperbolic Matrix(581,899,338,523) (-14/9,-17/11) -> (12/7,43/25) Hyperbolic Matrix(639,986,-488,-753) (-17/11,-20/13) -> (-38/29,-17/13) Hyperbolic Matrix(1567,2407,416,639) (-20/13,-23/15) -> (64/17,49/13) Hyperbolic Matrix(871,1334,190,291) (-23/15,-3/2) -> (55/12,23/5) Hyperbolic Matrix(59,87,40,59) (-3/2,-13/9) -> (16/11,3/2) Hyperbolic Matrix(465,667,122,175) (-23/16,-10/7) -> (19/5,23/6) Hyperbolic Matrix(2667,3799,1628,2319) (-10/7,-47/33) -> (18/11,77/47) Hyperbolic Matrix(2263,3219,490,697) (-37/26,-27/19) -> (60/13,37/8) Hyperbolic Matrix(1797,2552,1102,1565) (-27/19,-44/31) -> (44/27,31/19) Hyperbolic Matrix(349,493,206,291) (-17/12,-7/5) -> (22/13,17/10) Hyperbolic Matrix(5567,7743,2126,2957) (-32/23,-57/41) -> (144/55,55/21) Hyperbolic Matrix(2087,2900,1168,1623) (-57/41,-25/18) -> (25/14,59/33) Hyperbolic Matrix(755,1044,546,755) (-18/13,-29/21) -> (29/21,18/13) Hyperbolic Matrix(463,638,336,463) (-29/21,-11/8) -> (11/8,29/21) Hyperbolic Matrix(985,1334,556,753) (-19/14,-23/17) -> (23/13,39/22) Hyperbolic Matrix(927,1247,646,869) (-27/20,-4/3) -> (33/23,89/62) Hyperbolic Matrix(463,609,352,463) (-4/3,-21/16) -> (21/16,25/19) Hyperbolic Matrix(755,986,134,175) (-17/13,-30/23) -> (28/5,17/3) Hyperbolic Matrix(869,1131,534,695) (-30/23,-13/10) -> (13/8,57/35) Hyperbolic Matrix(987,1276,584,755) (-22/17,-31/24) -> (27/16,22/13) Hyperbolic Matrix(1393,1798,540,697) (-31/24,-9/7) -> (49/19,31/12) Hyperbolic Matrix(1565,2001,1224,1565) (-32/25,-23/18) -> (23/18,55/43) Hyperbolic Matrix(523,667,-454,-579) (-37/29,-14/11) -> (-15/13,-8/7) Hyperbolic Matrix(871,1102,230,291) (-19/15,-24/19) -> (34/9,19/5) Hyperbolic Matrix(1103,1392,874,1103) (-24/19,-29/23) -> (29/23,24/19) Hyperbolic Matrix(231,290,184,231) (-29/23,-5/4) -> (5/4,29/23) Hyperbolic Matrix(811,986,190,231) (-28/23,-17/14) -> (17/4,30/7) Hyperbolic Matrix(407,493,336,407) (-17/14,-6/5) -> (23/19,17/14) Hyperbolic Matrix(173,203,98,115) (-6/5,-7/6) -> (7/4,23/13) Hyperbolic Matrix(349,406,300,349) (-7/6,-29/25) -> (29/25,7/6) Hyperbolic Matrix(1101,1276,950,1101) (-29/25,-22/19) -> (22/19,29/25) Hyperbolic Matrix(1277,1450,716,813) (-8/7,-17/15) -> (41/23,66/37) Hyperbolic Matrix(463,522,102,115) (-17/15,-9/8) -> (9/2,41/9) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(289,-319,106,-117) (1/1,9/8) -> (49/18,30/11) Hyperbolic Matrix(579,-667,454,-523) (8/7,15/13) -> (14/11,37/29) Hyperbolic Matrix(929,-1073,200,-231) (15/13,22/19) -> (51/11,14/3) Hyperbolic Matrix(465,-551,146,-173) (13/11,19/16) -> (19/6,16/5) Hyperbolic Matrix(463,-551,342,-407) (19/16,6/5) -> (23/17,19/14) Hyperbolic Matrix(697,-841,576,-695) (6/5,29/24) -> (29/24,23/19) Parabolic Matrix(523,-638,332,-405) (17/14,11/9) -> (11/7,41/26) Hyperbolic Matrix(117,-145,46,-57) (11/9,5/4) -> (5/2,18/7) Hyperbolic Matrix(639,-812,410,-521) (19/15,14/11) -> (14/9,39/25) Hyperbolic Matrix(1159,-1479,728,-929) (37/29,23/18) -> (35/22,8/5) Hyperbolic Matrix(5917,-7569,4624,-5915) (55/43,87/68) -> (87/68,32/25) Parabolic Matrix(521,-667,182,-233) (32/25,9/7) -> (20/7,3/1) Hyperbolic Matrix(697,-899,314,-405) (9/7,31/24) -> (31/14,20/9) Hyperbolic Matrix(695,-899,494,-639) (31/24,22/17) -> (7/5,31/22) Hyperbolic Matrix(291,-377,44,-57) (22/17,13/10) -> (13/2,7/1) Hyperbolic Matrix(579,-754,268,-349) (13/10,30/23) -> (28/13,13/6) Hyperbolic Matrix(753,-986,488,-639) (17/13,21/16) -> (37/24,17/11) Hyperbolic Matrix(639,-841,484,-637) (25/19,29/22) -> (29/22,4/3) Parabolic Matrix(1159,-1566,430,-581) (4/3,23/17) -> (35/13,62/23) Hyperbolic Matrix(405,-551,86,-117) (19/14,15/11) -> (14/3,19/4) Hyperbolic Matrix(233,-319,84,-115) (15/11,11/8) -> (11/4,14/5) Hyperbolic Matrix(523,-725,334,-463) (18/13,25/18) -> (25/16,11/7) Hyperbolic Matrix(291,-406,124,-173) (25/18,7/5) -> (7/3,33/14) Hyperbolic Matrix(2261,-3190,864,-1219) (31/22,24/17) -> (34/13,89/34) Hyperbolic Matrix(695,-986,246,-349) (17/12,27/19) -> (31/11,17/6) Hyperbolic Matrix(2957,-4205,898,-1277) (27/19,64/45) -> (23/7,56/17) Hyperbolic Matrix(1507,-2146,408,-581) (37/26,10/7) -> (48/13,37/10) Hyperbolic Matrix(6727,-9657,1738,-2495) (89/62,145/101) -> (58/15,31/8) Hyperbolic Matrix(4989,-7163,1292,-1855) (145/101,56/39) -> (27/7,58/15) Hyperbolic Matrix(463,-667,202,-291) (23/16,13/9) -> (16/7,23/10) Hyperbolic Matrix(581,-841,400,-579) (13/9,29/20) -> (29/20,16/11) Parabolic Matrix(869,-1334,114,-175) (23/15,20/13) -> (38/5,23/3) Hyperbolic Matrix(2203,-3393,1394,-2147) (20/13,37/24) -> (79/50,49/31) Hyperbolic Matrix(637,-986,188,-291) (17/11,14/9) -> (44/13,17/5) Hyperbolic Matrix(985,-1537,298,-465) (39/25,25/16) -> (33/10,10/3) Hyperbolic Matrix(985,-1566,256,-407) (27/17,35/22) -> (23/6,27/7) Hyperbolic Matrix(523,-841,324,-521) (8/5,29/18) -> (29/18,21/13) Parabolic Matrix(11019,-17951,2564,-4177) (101/62,145/89) -> (116/27,43/10) Hyperbolic Matrix(9629,-15689,2242,-3653) (145/89,44/27) -> (73/17,116/27) Hyperbolic Matrix(1741,-2871,738,-1217) (28/17,33/20) -> (33/14,59/25) Hyperbolic Matrix(2031,-3422,860,-1449) (32/19,27/16) -> (85/36,26/11) Hyperbolic Matrix(1567,-2697,606,-1043) (43/25,31/18) -> (31/12,44/17) Hyperbolic Matrix(1161,-2059,490,-869) (39/22,16/9) -> (45/19,19/8) Hyperbolic Matrix(929,-1653,358,-637) (16/9,57/32) -> (57/22,13/5) Hyperbolic Matrix(1219,-2175,292,-521) (66/37,25/14) -> (25/6,21/5) Hyperbolic Matrix(1101,-1972,292,-523) (34/19,9/5) -> (49/13,34/9) Hyperbolic Matrix(465,-841,256,-463) (9/5,29/16) -> (29/16,20/11) Parabolic Matrix(173,-319,32,-59) (11/6,13/7) -> (16/3,11/2) Hyperbolic Matrix(405,-754,94,-175) (13/7,15/8) -> (43/10,13/3) Hyperbolic Matrix(291,-551,122,-231) (15/8,2/1) -> (31/13,43/18) Hyperbolic Matrix(231,-493,82,-175) (2/1,15/7) -> (14/5,31/11) Hyperbolic Matrix(1159,-2494,270,-581) (15/7,28/13) -> (30/7,73/17) Hyperbolic Matrix(115,-261,26,-59) (9/4,16/7) -> (13/3,9/2) Hyperbolic Matrix(10613,-25056,4054,-9571) (59/25,85/36) -> (89/34,233/89) Hyperbolic Matrix(813,-1943,218,-521) (43/18,12/5) -> (41/11,15/4) Hyperbolic Matrix(349,-841,144,-347) (12/5,29/12) -> (29/12,17/7) Parabolic Matrix(8121,-21025,3136,-8119) (44/17,145/56) -> (145/56,101/39) Parabolic Matrix(233,-609,44,-115) (13/5,34/13) -> (5/1,16/3) Hyperbolic Matrix(54289,-142129,20736,-54287) (233/89,377/144) -> (377/144,144/55) Parabolic Matrix(985,-2581,266,-697) (55/21,21/8) -> (37/10,26/7) Hyperbolic Matrix(173,-464,22,-59) (8/3,35/13) -> (23/3,8/1) Hyperbolic Matrix(753,-2030,194,-523) (62/23,27/10) -> (31/8,4/1) Hyperbolic Matrix(289,-783,86,-233) (27/10,19/7) -> (10/3,27/8) Hyperbolic Matrix(2785,-7569,1024,-2783) (19/7,87/32) -> (87/32,68/25) Parabolic Matrix(233,-638,42,-115) (30/11,11/4) -> (11/2,28/5) Hyperbolic Matrix(347,-986,82,-233) (17/6,20/7) -> (38/9,17/4) Hyperbolic Matrix(115,-377,18,-59) (13/4,23/7) -> (6/1,13/2) Hyperbolic Matrix(6381,-21025,1936,-6379) (56/17,145/44) -> (145/44,89/27) Parabolic Matrix(233,-841,64,-231) (18/5,29/8) -> (29/8,11/3) Parabolic Matrix(173,-638,16,-59) (11/3,48/13) -> (10/1,11/1) Hyperbolic Matrix(639,-2378,140,-521) (26/7,41/11) -> (41/9,32/7) Hyperbolic Matrix(175,-841,36,-173) (24/5,29/6) -> (29/6,5/1) Parabolic Matrix(117,-841,16,-115) (7/1,29/4) -> (29/4,22/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(59,667,36,407) -> Matrix(1,0,6,1) Matrix(117,1102,74,697) -> Matrix(1,0,4,1) Matrix(59,493,14,117) -> Matrix(1,0,2,1) Matrix(59,464,-22,-173) -> Matrix(1,0,-4,1) Matrix(59,435,8,59) -> Matrix(1,0,4,1) Matrix(57,377,-44,-291) -> Matrix(1,0,-8,1) Matrix(59,377,-18,-115) -> Matrix(1,0,-2,1) Matrix(59,348,10,59) -> Matrix(1,0,2,1) Matrix(231,1334,40,231) -> Matrix(7,6,8,7) Matrix(233,1334,142,813) -> Matrix(3,2,22,15) Matrix(115,638,-42,-233) -> Matrix(3,2,-14,-9) Matrix(59,319,-32,-173) -> Matrix(1,0,-4,1) Matrix(115,609,-44,-233) -> Matrix(1,0,-2,1) Matrix(115,551,24,115) -> Matrix(1,0,-2,1) Matrix(117,551,-86,-405) -> Matrix(1,-2,-8,17) Matrix(231,1073,-200,-929) -> Matrix(3,4,-28,-37) Matrix(463,2146,200,927) -> Matrix(3,2,10,7) Matrix(697,3219,490,2263) -> Matrix(1,-2,8,-15) Matrix(291,1334,190,871) -> Matrix(7,8,48,55) Matrix(2089,9570,456,2089) -> Matrix(17,18,16,17) Matrix(1217,5568,266,1217) -> Matrix(13,12,14,13) Matrix(521,2378,-140,-639) -> Matrix(5,4,-24,-19) Matrix(59,261,-26,-115) -> Matrix(1,0,-2,1) Matrix(175,754,-94,-405) -> Matrix(3,2,-20,-13) Matrix(407,1740,258,1103) -> Matrix(1,0,8,1) Matrix(117,493,14,59) -> Matrix(1,0,2,1) Matrix(521,2175,-292,-1219) -> Matrix(3,2,-20,-13) Matrix(349,1450,84,349) -> Matrix(11,6,20,11) Matrix(57,232,14,57) -> Matrix(5,2,12,5) Matrix(175,667,122,465) -> Matrix(7,2,52,15) Matrix(291,1102,230,871) -> Matrix(1,0,12,1) Matrix(523,1972,-292,-1101) -> Matrix(1,0,-2,1) Matrix(521,1943,-218,-813) -> Matrix(9,2,4,1) Matrix(405,1508,358,1333) -> Matrix(9,2,76,17) Matrix(697,2581,-266,-985) -> Matrix(1,0,2,1) Matrix(581,2146,-408,-1507) -> Matrix(13,2,-98,-15) Matrix(57,203,16,57) -> Matrix(1,0,2,1) Matrix(59,203,34,117) -> Matrix(3,2,16,11) Matrix(289,957,-228,-755) -> Matrix(1,0,-6,1) Matrix(1451,4785,440,1451) -> Matrix(5,2,12,5) Matrix(811,2668,176,579) -> Matrix(5,2,2,1) Matrix(233,754,72,233) -> Matrix(5,2,12,5) Matrix(289,928,90,289) -> Matrix(1,0,6,1) Matrix(175,551,74,233) -> Matrix(1,0,4,1) Matrix(233,667,-182,-521) -> Matrix(7,2,-60,-17) Matrix(173,493,20,57) -> Matrix(7,2,-4,-1) Matrix(349,986,-246,-695) -> Matrix(9,2,-68,-15) Matrix(115,319,-84,-233) -> Matrix(7,2,-60,-17) Matrix(637,1740,488,1333) -> Matrix(1,0,12,1) Matrix(117,319,-106,-289) -> Matrix(9,2,-86,-19) Matrix(1567,4263,576,1567) -> Matrix(9,2,40,9) Matrix(407,1102,236,639) -> Matrix(7,2,38,11) Matrix(581,1566,-430,-1159) -> Matrix(11,2,-94,-17) Matrix(1219,3277,324,871) -> Matrix(11,2,38,7) Matrix(175,464,66,175) -> Matrix(1,0,10,1) Matrix(463,1218,176,463) -> Matrix(1,0,6,1) Matrix(521,1363,310,811) -> Matrix(9,2,58,13) Matrix(637,1653,-358,-929) -> Matrix(1,0,0,1) Matrix(3191,8265,1232,3191) -> Matrix(1,0,16,1) Matrix(987,2552,292,755) -> Matrix(5,2,12,5) Matrix(349,899,158,407) -> Matrix(1,0,8,1) Matrix(57,145,-46,-117) -> Matrix(1,0,-4,1) Matrix(59,145,24,59) -> Matrix(1,0,10,1) Matrix(231,551,-122,-291) -> Matrix(1,2,-6,-11) Matrix(463,1102,292,695) -> Matrix(1,0,8,1) Matrix(233,551,74,175) -> Matrix(1,0,4,1) Matrix(173,406,-124,-291) -> Matrix(5,2,-38,-15) Matrix(927,2146,200,463) -> Matrix(7,2,10,3) Matrix(1507,3480,954,2203) -> Matrix(7,2,38,11) Matrix(579,1334,352,811) -> Matrix(1,0,10,1) Matrix(291,667,-202,-463) -> Matrix(1,0,-4,1) Matrix(233,522,104,233) -> Matrix(7,2,24,7) Matrix(521,1160,234,521) -> Matrix(9,2,40,9) Matrix(407,899,158,349) -> Matrix(1,0,8,1) Matrix(173,377,106,231) -> Matrix(1,0,10,1) Matrix(1971,3683,1210,2261) -> Matrix(49,8,300,49) Matrix(175,319,96,175) -> Matrix(1,0,12,1) Matrix(987,1769,130,233) -> Matrix(11,2,16,3) Matrix(697,1247,422,755) -> Matrix(1,0,12,1) Matrix(813,1450,716,1277) -> Matrix(1,0,16,1) Matrix(2669,4756,1628,2901) -> Matrix(1,0,14,1) Matrix(115,203,98,173) -> Matrix(1,0,14,1) Matrix(117,203,34,59) -> Matrix(11,2,16,3) Matrix(407,696,238,407) -> Matrix(83,14,492,83) Matrix(579,986,340,579) -> Matrix(109,18,660,109) Matrix(291,493,206,349) -> Matrix(25,4,206,33) Matrix(755,1247,422,697) -> Matrix(1,0,12,1) Matrix(811,1334,352,579) -> Matrix(1,0,10,1) Matrix(813,1334,142,233) -> Matrix(15,2,22,3) Matrix(2901,4756,1628,2669) -> Matrix(1,0,14,1) Matrix(407,667,36,59) -> Matrix(1,0,6,1) Matrix(231,377,106,173) -> Matrix(1,0,10,1) Matrix(233,377,144,233) -> Matrix(13,2,84,13) Matrix(929,1479,-728,-1159) -> Matrix(1,0,-2,1) Matrix(1623,2581,1130,1797) -> Matrix(1,0,14,1) Matrix(695,1102,292,463) -> Matrix(1,0,8,1) Matrix(2089,3306,1320,2089) -> Matrix(1,0,14,1) Matrix(7481,11832,4730,7481) -> Matrix(1,0,6,1) Matrix(697,1102,74,117) -> Matrix(1,0,4,1) Matrix(2551,4031,-1946,-3075) -> Matrix(1,0,-2,1) Matrix(2203,3480,954,1507) -> Matrix(11,2,38,7) Matrix(405,638,-332,-523) -> Matrix(1,0,-2,1) Matrix(463,725,-334,-523) -> Matrix(37,6,-290,-47) Matrix(521,812,-410,-639) -> Matrix(13,2,-98,-15) Matrix(581,899,338,523) -> Matrix(93,14,538,81) Matrix(639,986,-488,-753) -> Matrix(27,4,-196,-29) Matrix(1567,2407,416,639) -> Matrix(27,4,74,11) Matrix(871,1334,190,291) -> Matrix(55,8,48,7) Matrix(59,87,40,59) -> Matrix(15,2,112,15) Matrix(465,667,122,175) -> Matrix(15,2,52,7) Matrix(2667,3799,1628,2319) -> Matrix(15,2,82,11) Matrix(2263,3219,490,697) -> Matrix(15,2,-8,-1) Matrix(1797,2552,1102,1565) -> Matrix(31,4,178,23) Matrix(349,493,206,291) -> Matrix(33,4,206,25) Matrix(5567,7743,2126,2957) -> Matrix(31,4,116,15) Matrix(2087,2900,1168,1623) -> Matrix(31,4,178,23) Matrix(755,1044,546,755) -> Matrix(111,14,880,111) Matrix(463,638,336,463) -> Matrix(65,8,528,65) Matrix(985,1334,556,753) -> Matrix(17,2,76,9) Matrix(927,1247,646,869) -> Matrix(19,2,142,15) Matrix(463,609,352,463) -> Matrix(1,0,14,1) Matrix(755,986,134,175) -> Matrix(15,2,22,3) Matrix(869,1131,534,695) -> Matrix(17,2,110,13) Matrix(987,1276,584,755) -> Matrix(33,4,206,25) Matrix(1393,1798,540,697) -> Matrix(1,0,12,1) Matrix(1565,2001,1224,1565) -> Matrix(17,2,144,17) Matrix(523,667,-454,-579) -> Matrix(17,2,-162,-19) Matrix(871,1102,230,291) -> Matrix(1,0,12,1) Matrix(1103,1392,874,1103) -> Matrix(17,2,144,17) Matrix(231,290,184,231) -> Matrix(1,0,18,1) Matrix(811,986,190,231) -> Matrix(1,0,10,1) Matrix(407,493,336,407) -> Matrix(17,2,144,17) Matrix(173,203,98,115) -> Matrix(1,0,14,1) Matrix(349,406,300,349) -> Matrix(35,4,306,35) Matrix(1101,1276,950,1101) -> Matrix(127,14,1152,127) Matrix(1277,1450,716,813) -> Matrix(1,0,16,1) Matrix(463,522,102,115) -> Matrix(19,2,28,3) Matrix(1,0,2,1) -> Matrix(1,0,22,1) Matrix(289,-319,106,-117) -> Matrix(19,-2,86,-9) Matrix(579,-667,454,-523) -> Matrix(19,-2,162,-17) Matrix(929,-1073,200,-231) -> Matrix(37,-4,28,-3) Matrix(465,-551,146,-173) -> Matrix(1,0,-6,1) Matrix(463,-551,342,-407) -> Matrix(19,-2,162,-17) Matrix(697,-841,576,-695) -> Matrix(1,0,0,1) Matrix(523,-638,332,-405) -> Matrix(1,0,-2,1) Matrix(117,-145,46,-57) -> Matrix(1,0,-4,1) Matrix(639,-812,410,-521) -> Matrix(15,-2,98,-13) Matrix(1159,-1479,728,-929) -> Matrix(1,0,-2,1) Matrix(5917,-7569,4624,-5915) -> Matrix(1,0,0,1) Matrix(521,-667,182,-233) -> Matrix(17,-2,60,-7) Matrix(697,-899,314,-405) -> Matrix(1,0,-4,1) Matrix(695,-899,494,-639) -> Matrix(1,0,0,1) Matrix(291,-377,44,-57) -> Matrix(1,0,-8,1) Matrix(579,-754,268,-349) -> Matrix(17,-2,60,-7) Matrix(753,-986,488,-639) -> Matrix(29,-4,196,-27) Matrix(639,-841,484,-637) -> Matrix(1,0,4,1) Matrix(1159,-1566,430,-581) -> Matrix(17,-2,94,-11) Matrix(405,-551,86,-117) -> Matrix(17,-2,-8,1) Matrix(233,-319,84,-115) -> Matrix(17,-2,60,-7) Matrix(523,-725,334,-463) -> Matrix(47,-6,290,-37) Matrix(291,-406,124,-173) -> Matrix(15,-2,38,-5) Matrix(2261,-3190,864,-1219) -> Matrix(17,-2,60,-7) Matrix(695,-986,246,-349) -> Matrix(15,-2,68,-9) Matrix(2957,-4205,898,-1277) -> Matrix(31,-4,70,-9) Matrix(1507,-2146,408,-581) -> Matrix(15,-2,98,-13) Matrix(6727,-9657,1738,-2495) -> Matrix(85,-12,248,-35) Matrix(4989,-7163,1292,-1855) -> Matrix(41,-6,130,-19) Matrix(463,-667,202,-291) -> Matrix(1,0,-4,1) Matrix(581,-841,400,-579) -> Matrix(1,0,0,1) Matrix(869,-1334,114,-175) -> Matrix(41,-6,48,-7) Matrix(2203,-3393,1394,-2147) -> Matrix(27,-4,142,-21) Matrix(637,-986,188,-291) -> Matrix(53,-8,126,-19) Matrix(985,-1537,298,-465) -> Matrix(13,-2,20,-3) Matrix(985,-1566,256,-407) -> Matrix(13,-2,46,-7) Matrix(523,-841,324,-521) -> Matrix(1,0,0,1) Matrix(11019,-17951,2564,-4177) -> Matrix(133,-22,260,-43) Matrix(9629,-15689,2242,-3653) -> Matrix(95,-16,196,-33) Matrix(1741,-2871,738,-1217) -> Matrix(13,-2,20,-3) Matrix(2031,-3422,860,-1449) -> Matrix(25,-4,44,-7) Matrix(1567,-2697,606,-1043) -> Matrix(23,-4,52,-9) Matrix(1161,-2059,490,-869) -> Matrix(1,0,-4,1) Matrix(929,-1653,358,-637) -> Matrix(1,0,0,1) Matrix(1219,-2175,292,-521) -> Matrix(13,-2,20,-3) Matrix(1101,-1972,292,-523) -> Matrix(1,0,-2,1) Matrix(465,-841,256,-463) -> Matrix(1,0,2,1) Matrix(173,-319,32,-59) -> Matrix(1,0,-4,1) Matrix(405,-754,94,-175) -> Matrix(13,-2,20,-3) Matrix(291,-551,122,-231) -> Matrix(11,-2,6,-1) Matrix(231,-493,82,-175) -> Matrix(9,-2,32,-7) Matrix(1159,-2494,270,-581) -> Matrix(23,-6,50,-13) Matrix(115,-261,26,-59) -> Matrix(1,0,-2,1) Matrix(10613,-25056,4054,-9571) -> Matrix(1,0,2,1) Matrix(813,-1943,218,-521) -> Matrix(1,2,4,9) Matrix(349,-841,144,-347) -> Matrix(1,0,16,1) Matrix(8121,-21025,3136,-8119) -> Matrix(1,0,22,1) Matrix(233,-609,44,-115) -> Matrix(1,0,-2,1) Matrix(54289,-142129,20736,-54287) -> Matrix(1,0,0,1) Matrix(985,-2581,266,-697) -> Matrix(1,0,2,1) Matrix(173,-464,22,-59) -> Matrix(1,0,-4,1) Matrix(753,-2030,194,-523) -> Matrix(11,-2,28,-5) Matrix(289,-783,86,-233) -> Matrix(1,0,-2,1) Matrix(2785,-7569,1024,-2783) -> Matrix(1,0,0,1) Matrix(233,-638,42,-115) -> Matrix(9,-2,14,-3) Matrix(347,-986,82,-233) -> Matrix(7,-2,18,-5) Matrix(115,-377,18,-59) -> Matrix(1,0,-2,1) Matrix(6381,-21025,1936,-6379) -> Matrix(1,0,0,1) Matrix(233,-841,64,-231) -> Matrix(1,0,12,1) Matrix(173,-638,16,-59) -> Matrix(1,0,-6,1) Matrix(639,-2378,140,-521) -> Matrix(19,-4,24,-5) Matrix(175,-841,36,-173) -> Matrix(1,0,8,1) Matrix(117,-841,16,-115) -> Matrix(1,0,6,1) 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 elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 52 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 0/1 11 1 1/1 1/11 1 29 9/8 (1/10,1/9) 0 29 17/15 1/11 1 29 8/7 1/9 1 29 15/13 5/47 1 29 22/19 1/9 1 29 29/25 1/9 9 1 7/6 (1/9,2/17) 0 29 6/5 1/9 1 29 29/24 (1/9,1/8) 0 1 17/14 (1/9,1/8) 0 29 11/9 1/7 1 29 5/4 (0/1,1/9) 0 29 29/23 1/9 1 1 24/19 1/9 1 29 19/15 1/9 1 29 14/11 1/11 1 29 37/29 1/9 1 29 23/18 (1/9,1/8) 0 29 87/68 (1/9,1/8) 0 1 32/25 1/9 1 29 9/7 1/9 1 29 31/24 (1/9,1/8) 0 29 22/17 1/7 1 29 13/10 (1/9,1/8) 0 29 30/23 3/23 1 29 17/13 1/9 1 29 21/16 (0/1,1/7) 0 29 29/22 0/1 4 1 4/3 1/9 1 29 23/17 1/9 1 29 19/14 (1/9,2/17) 0 29 15/11 5/41 1 29 11/8 (4/33,1/8) 0 29 29/21 1/8 11 1 18/13 7/55 1 29 25/18 (1/8,3/23) 0 29 7/5 1/7 1 29 17/12 (1/8,5/39) 0 29 27/19 3/23 1 29 37/26 (3/23,2/15) 0 29 10/7 1/7 1 29 23/16 (1/8,1/7) 0 29 13/9 1/7 1 29 29/20 (1/8,1/7) 0 1 3/2 (1/8,1/7) 0 29 23/15 1/7 1 29 20/13 1/7 1 29 37/24 (1/7,4/27) 0 29 17/11 7/47 1 29 14/9 7/45 1 29 39/25 3/19 1 29 25/16 (3/19,1/6) 0 29 11/7 1/5 1 29 41/26 (1/7,1/6) 0 29 30/19 1/5 1 29 79/50 (0/1,1/5) 0 29 49/31 1/5 1 29 68/43 1/3 1 29 87/55 0/1 4 1 19/12 (0/1,1/7) 0 29 27/17 1/7 1 29 35/22 (1/7,1/6) 0 29 8/5 1/7 1 29 29/18 (1/7,1/6) 0 1 13/8 (1/7,1/6) 0 29 18/11 1/5 1 29 59/36 (0/1,1/6) 0 29 41/25 1/9 1 29 23/14 (1/7,1/6) 0 29 28/17 1/7 1 29 5/3 1/7 1 29 27/16 (3/19,1/6) 0 29 22/13 5/31 1 29 17/10 (9/55,1/6) 0 29 29/17 1/6 16 1 12/7 7/41 1 29 7/4 (2/11,1/5) 0 29 23/13 1/5 1 29 39/22 (0/1,1/5) 0 29 16/9 1/5 1 29 57/32 (0/1,1/8) 0 29 41/23 1/5 1 29 66/37 1/7 1 29 25/14 (1/6,1/5) 0 29 59/33 1/5 1 29 34/19 1/5 1 29 9/5 1/5 1 29 29/16 0/1 2 1 11/6 (0/1,1/6) 0 29 13/7 1/7 1 29 15/8 (1/6,6/35) 0 29 2/1 1/5 1 29 15/7 5/21 1 29 28/13 5/19 1 29 13/6 (1/4,1/3) 0 29 11/5 1/5 1 29 20/9 1/5 1 29 29/13 1/4 2 1 9/4 (1/4,1/3) 0 29 16/7 1/3 1 29 23/10 (1/4,1/3) 0 29 30/13 1/3 1 29 37/16 (2/7,1/3) 0 29 7/3 1/3 1 29 33/14 (1/2,1/1) 0 29 59/25 1/1 1 29 26/11 1/1 1 29 19/8 (0/1,1/1) 0 29 31/13 1/1 1 29 43/18 (-4/1,1/0) 0 29 12/5 -1/3 1 29 29/12 0/1 16 1 5/2 (0/1,1/5) 0 29 18/7 1/3 1 29 49/19 1/3 1 29 31/12 (1/4,1/3) 0 29 44/17 -1/3 1 29 145/56 0/1 22 1 57/22 (0/1,1/8) 0 29 13/5 1/5 1 29 34/13 1/5 1 29 89/34 (1/4,1/3) 0 29 377/144 (1/4,1/3) 0 1 144/55 1/3 1 29 55/21 1/3 1 29 21/8 (0/1,1/3) 0 29 29/11 0/1 2 1 8/3 1/5 1 29 35/13 1/5 1 29 62/23 1/5 1 29 27/10 (1/5,3/14) 0 29 19/7 1/5 1 29 87/32 (1/5,1/4) 0 1 49/18 (1/5,1/4) 0 29 30/11 3/13 1 29 11/4 (2/9,1/4) 0 29 14/5 3/13 1 29 31/11 1/3 1 29 17/6 (1/4,3/11) 0 29 20/7 1/3 1 29 3/1 1/3 1 29 19/6 (0/1,1/3) 0 29 16/5 1/3 1 29 29/9 1/3 1 1 13/4 (1/3,1/2) 0 29 23/7 1/3 1 29 56/17 1/3 1 29 145/44 (1/3,1/2) 0 1 33/10 (1/3,1/2) 0 29 10/3 1/3 1 29 27/8 (1/3,3/8) 0 29 44/13 11/27 1 29 17/5 5/11 1 29 7/2 (0/1,1/1) 0 29 29/8 0/1 12 1 11/3 1/7 1 29 48/13 1/7 1 29 37/10 (0/1,1/5) 0 29 26/7 1/5 1 29 41/11 5/23 1 29 15/4 (1/4,2/7) 0 29 49/13 1/3 1 29 34/9 1/3 1 29 19/5 1/3 1 29 23/6 (1/4,1/3) 0 29 27/7 1/3 1 29 58/15 1/3 9 1 31/8 (1/3,5/14) 0 29 4/1 1/3 1 29 29/7 1/2 4 1 25/6 (1/2,3/5) 0 29 21/5 1/1 1 29 17/4 (1/2,1/1) 0 29 30/7 1/3 1 29 73/17 11/23 1 29 116/27 1/2 19 1 43/10 (1/2,8/15) 0 29 13/3 1/1 1 29 9/2 (1/2,1/1) 0 29 41/9 3/5 1 29 32/7 1/1 1 29 87/19 1/1 15 1 55/12 (1/1,9/8) 0 29 23/5 1/1 1 29 60/13 1/1 1 29 37/8 (0/1,1/1) 0 29 51/11 1/1 1 29 14/3 3/1 1 29 19/4 (-1/1,0/1) 0 29 29/6 0/1 8 1 5/1 1/3 1 29 16/3 1/3 1 29 11/2 (0/1,1/2) 0 29 28/5 1/3 1 29 17/3 3/5 1 29 23/4 (3/4,1/1) 0 29 29/5 1/1 3 1 6/1 1/1 1 29 13/2 (1/1,1/0) 0 29 7/1 -1/1 1 29 29/4 0/1 6 1 15/2 (0/1,1/2) 0 29 38/5 1/1 1 29 23/3 1/1 1 29 8/1 1/1 1 29 17/2 (1/1,1/0) 0 29 9/1 -1/1 1 29 10/1 1/1 1 29 11/1 1/1 1 29 1/0 (0/1,1/0) 0 29 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(1,0,2,-1) (0/1,1/1) -> (0/1,1/1) Reflection Matrix(289,-319,106,-117) (1/1,9/8) -> (49/18,30/11) Hyperbolic Matrix(463,-522,102,-115) (9/8,17/15) -> (9/2,41/9) Glide Reflection Matrix(1277,-1450,716,-813) (17/15,8/7) -> (41/23,66/37) Glide Reflection Matrix(579,-667,454,-523) (8/7,15/13) -> (14/11,37/29) Hyperbolic Matrix(929,-1073,200,-231) (15/13,22/19) -> (51/11,14/3) Hyperbolic Matrix(1101,-1276,950,-1101) (22/19,29/25) -> (22/19,29/25) Reflection Matrix(349,-406,300,-349) (29/25,7/6) -> (29/25,7/6) Reflection Matrix(173,-203,98,-115) (7/6,6/5) -> (7/4,23/13) Glide Reflection Matrix(289,-348,240,-289) (6/5,29/24) -> (6/5,29/24) Reflection Matrix(407,-493,336,-407) (29/24,17/14) -> (29/24,17/14) Reflection Matrix(523,-638,332,-405) (17/14,11/9) -> (11/7,41/26) Hyperbolic Matrix(117,-145,46,-57) (11/9,5/4) -> (5/2,18/7) Hyperbolic Matrix(231,-290,184,-231) (5/4,29/23) -> (5/4,29/23) Reflection Matrix(1103,-1392,874,-1103) (29/23,24/19) -> (29/23,24/19) Reflection Matrix(871,-1102,230,-291) (24/19,19/15) -> (34/9,19/5) Glide Reflection Matrix(639,-812,410,-521) (19/15,14/11) -> (14/9,39/25) Hyperbolic Matrix(1159,-1479,728,-929) (37/29,23/18) -> (35/22,8/5) Hyperbolic Matrix(1565,-2001,1224,-1565) (23/18,87/68) -> (23/18,87/68) Reflection Matrix(4351,-5568,3400,-4351) (87/68,32/25) -> (87/68,32/25) Reflection Matrix(521,-667,182,-233) (32/25,9/7) -> (20/7,3/1) Hyperbolic Matrix(1393,-1798,540,-697) (9/7,31/24) -> (49/19,31/12) Glide Reflection Matrix(987,-1276,584,-755) (31/24,22/17) -> (27/16,22/13) Glide Reflection Matrix(291,-377,44,-57) (22/17,13/10) -> (13/2,7/1) Hyperbolic Matrix(579,-754,268,-349) (13/10,30/23) -> (28/13,13/6) Hyperbolic Matrix(755,-986,134,-175) (30/23,17/13) -> (28/5,17/3) Glide Reflection Matrix(753,-986,488,-639) (17/13,21/16) -> (37/24,17/11) Hyperbolic Matrix(463,-609,352,-463) (21/16,29/22) -> (21/16,29/22) Reflection Matrix(175,-232,132,-175) (29/22,4/3) -> (29/22,4/3) Reflection Matrix(1159,-1566,430,-581) (4/3,23/17) -> (35/13,62/23) Hyperbolic Matrix(985,-1334,556,-753) (23/17,19/14) -> (23/13,39/22) Glide Reflection Matrix(405,-551,86,-117) (19/14,15/11) -> (14/3,19/4) Hyperbolic Matrix(233,-319,84,-115) (15/11,11/8) -> (11/4,14/5) Hyperbolic Matrix(463,-638,336,-463) (11/8,29/21) -> (11/8,29/21) Reflection Matrix(755,-1044,546,-755) (29/21,18/13) -> (29/21,18/13) Reflection Matrix(523,-725,334,-463) (18/13,25/18) -> (25/16,11/7) Hyperbolic Matrix(291,-406,124,-173) (25/18,7/5) -> (7/3,33/14) Hyperbolic Matrix(349,-493,206,-291) (7/5,17/12) -> (22/13,17/10) Glide Reflection Matrix(695,-986,246,-349) (17/12,27/19) -> (31/11,17/6) Hyperbolic Matrix(2263,-3219,490,-697) (27/19,37/26) -> (60/13,37/8) Glide Reflection Matrix(1507,-2146,408,-581) (37/26,10/7) -> (48/13,37/10) Hyperbolic Matrix(465,-667,122,-175) (10/7,23/16) -> (19/5,23/6) Glide Reflection Matrix(463,-667,202,-291) (23/16,13/9) -> (16/7,23/10) Hyperbolic Matrix(521,-754,360,-521) (13/9,29/20) -> (13/9,29/20) Reflection Matrix(59,-87,40,-59) (29/20,3/2) -> (29/20,3/2) Reflection Matrix(871,-1334,190,-291) (3/2,23/15) -> (55/12,23/5) Glide Reflection Matrix(869,-1334,114,-175) (23/15,20/13) -> (38/5,23/3) Hyperbolic Matrix(2203,-3393,1394,-2147) (20/13,37/24) -> (79/50,49/31) Hyperbolic Matrix(637,-986,188,-291) (17/11,14/9) -> (44/13,17/5) Hyperbolic Matrix(985,-1537,298,-465) (39/25,25/16) -> (33/10,10/3) Hyperbolic Matrix(1103,-1740,258,-407) (41/26,30/19) -> (17/4,30/7) Glide Reflection Matrix(2203,-3480,954,-1507) (30/19,79/50) -> (30/13,37/16) Glide Reflection Matrix(697,-1102,74,-117) (49/31,68/43) -> (9/1,10/1) Glide Reflection Matrix(7481,-11832,4730,-7481) (68/43,87/55) -> (68/43,87/55) Reflection Matrix(2089,-3306,1320,-2089) (87/55,19/12) -> (87/55,19/12) Reflection Matrix(695,-1102,292,-463) (19/12,27/17) -> (19/8,31/13) Glide Reflection Matrix(985,-1566,256,-407) (27/17,35/22) -> (23/6,27/7) Hyperbolic Matrix(289,-464,180,-289) (8/5,29/18) -> (8/5,29/18) Reflection Matrix(233,-377,144,-233) (29/18,13/8) -> (29/18,13/8) Reflection Matrix(231,-377,106,-173) (13/8,18/11) -> (13/6,11/5) Glide Reflection Matrix(407,-667,36,-59) (18/11,59/36) -> (11/1,1/0) Glide Reflection Matrix(2901,-4756,1628,-2669) (59/36,41/25) -> (57/32,41/23) Glide Reflection Matrix(813,-1334,142,-233) (41/25,23/14) -> (17/3,23/4) Glide Reflection Matrix(811,-1334,352,-579) (23/14,28/17) -> (23/10,30/13) Glide Reflection Matrix(755,-1247,422,-697) (28/17,5/3) -> (59/33,34/19) Glide Reflection Matrix(811,-1363,310,-521) (5/3,27/16) -> (34/13,89/34) Glide Reflection Matrix(579,-986,340,-579) (17/10,29/17) -> (17/10,29/17) Reflection Matrix(407,-696,238,-407) (29/17,12/7) -> (29/17,12/7) Reflection Matrix(117,-203,34,-59) (12/7,7/4) -> (17/5,7/2) Glide Reflection Matrix(523,-928,164,-291) (39/22,16/9) -> (19/6,16/5) Glide Reflection Matrix(929,-1653,358,-637) (16/9,57/32) -> (57/22,13/5) Hyperbolic Matrix(1219,-2175,292,-521) (66/37,25/14) -> (25/6,21/5) Hyperbolic Matrix(1915,-3422,812,-1451) (25/14,59/33) -> (33/14,59/25) Glide Reflection Matrix(1101,-1972,292,-523) (34/19,9/5) -> (49/13,34/9) Hyperbolic Matrix(289,-522,160,-289) (9/5,29/16) -> (9/5,29/16) Reflection Matrix(175,-319,96,-175) (29/16,11/6) -> (29/16,11/6) Reflection Matrix(173,-319,32,-59) (11/6,13/7) -> (16/3,11/2) Hyperbolic Matrix(405,-754,94,-175) (13/7,15/8) -> (43/10,13/3) Hyperbolic Matrix(291,-551,122,-231) (15/8,2/1) -> (31/13,43/18) Hyperbolic Matrix(231,-493,82,-175) (2/1,15/7) -> (14/5,31/11) Hyperbolic Matrix(1159,-2494,270,-581) (15/7,28/13) -> (30/7,73/17) Hyperbolic Matrix(407,-899,158,-349) (11/5,20/9) -> (18/7,49/19) Glide Reflection Matrix(521,-1160,234,-521) (20/9,29/13) -> (20/9,29/13) Reflection Matrix(233,-522,104,-233) (29/13,9/4) -> (29/13,9/4) Reflection Matrix(115,-261,26,-59) (9/4,16/7) -> (13/3,9/2) Hyperbolic Matrix(927,-2146,200,-463) (37/16,7/3) -> (37/8,51/11) Glide Reflection Matrix(2959,-6989,1130,-2669) (59/25,26/11) -> (144/55,55/21) Glide Reflection Matrix(233,-551,74,-175) (26/11,19/8) -> (3/1,19/6) Glide Reflection Matrix(813,-1943,218,-521) (43/18,12/5) -> (41/11,15/4) Hyperbolic Matrix(289,-696,120,-289) (12/5,29/12) -> (12/5,29/12) Reflection Matrix(59,-145,24,-59) (29/12,5/2) -> (29/12,5/2) Reflection Matrix(987,-2552,292,-755) (31/12,44/17) -> (27/8,44/13) Glide Reflection Matrix(4929,-12760,1904,-4929) (44/17,145/56) -> (44/17,145/56) Reflection Matrix(3191,-8265,1232,-3191) (145/56,57/22) -> (145/56,57/22) Reflection Matrix(233,-609,44,-115) (13/5,34/13) -> (5/1,16/3) Hyperbolic Matrix(12817,-33553,4896,-12817) (89/34,377/144) -> (89/34,377/144) Reflection Matrix(41471,-108576,15840,-41471) (377/144,144/55) -> (377/144,144/55) Reflection Matrix(985,-2581,266,-697) (55/21,21/8) -> (37/10,26/7) Hyperbolic Matrix(463,-1218,176,-463) (21/8,29/11) -> (21/8,29/11) Reflection Matrix(175,-464,66,-175) (29/11,8/3) -> (29/11,8/3) Reflection Matrix(173,-464,22,-59) (8/3,35/13) -> (23/3,8/1) Hyperbolic Matrix(753,-2030,194,-523) (62/23,27/10) -> (31/8,4/1) Hyperbolic Matrix(289,-783,86,-233) (27/10,19/7) -> (10/3,27/8) Hyperbolic Matrix(1217,-3306,448,-1217) (19/7,87/32) -> (19/7,87/32) Reflection Matrix(1567,-4263,576,-1567) (87/32,49/18) -> (87/32,49/18) Reflection Matrix(233,-638,42,-115) (30/11,11/4) -> (11/2,28/5) Hyperbolic Matrix(173,-493,20,-57) (17/6,20/7) -> (17/2,9/1) Glide Reflection Matrix(289,-928,90,-289) (16/5,29/9) -> (16/5,29/9) Reflection Matrix(233,-754,72,-233) (29/9,13/4) -> (29/9,13/4) Reflection Matrix(115,-377,18,-59) (13/4,23/7) -> (6/1,13/2) Hyperbolic Matrix(811,-2668,176,-579) (23/7,56/17) -> (23/5,60/13) Glide Reflection Matrix(4929,-16240,1496,-4929) (56/17,145/44) -> (56/17,145/44) Reflection Matrix(1451,-4785,440,-1451) (145/44,33/10) -> (145/44,33/10) Reflection Matrix(57,-203,16,-57) (7/2,29/8) -> (7/2,29/8) Reflection Matrix(175,-638,48,-175) (29/8,11/3) -> (29/8,11/3) Reflection Matrix(173,-638,16,-59) (11/3,48/13) -> (10/1,11/1) Hyperbolic Matrix(639,-2378,140,-521) (26/7,41/11) -> (41/9,32/7) Hyperbolic Matrix(347,-1305,46,-173) (15/4,49/13) -> (15/2,38/5) Glide Reflection Matrix(811,-3132,210,-811) (27/7,58/15) -> (27/7,58/15) Reflection Matrix(929,-3596,240,-929) (58/15,31/8) -> (58/15,31/8) Reflection Matrix(57,-232,14,-57) (4/1,29/7) -> (4/1,29/7) Reflection Matrix(349,-1450,84,-349) (29/7,25/6) -> (29/7,25/6) Reflection Matrix(117,-493,14,-59) (21/5,17/4) -> (8/1,17/2) Glide Reflection Matrix(3943,-16936,918,-3943) (73/17,116/27) -> (73/17,116/27) Reflection Matrix(2321,-9976,540,-2321) (116/27,43/10) -> (116/27,43/10) Reflection Matrix(1217,-5568,266,-1217) (32/7,87/19) -> (32/7,87/19) Reflection Matrix(2089,-9570,456,-2089) (87/19,55/12) -> (87/19,55/12) Reflection Matrix(115,-551,24,-115) (19/4,29/6) -> (19/4,29/6) Reflection Matrix(59,-290,12,-59) (29/6,5/1) -> (29/6,5/1) Reflection Matrix(231,-1334,40,-231) (23/4,29/5) -> (23/4,29/5) Reflection Matrix(59,-348,10,-59) (29/5,6/1) -> (29/5,6/1) Reflection Matrix(57,-406,8,-57) (7/1,29/4) -> (7/1,29/4) Reflection Matrix(59,-435,8,-59) (29/4,15/2) -> (29/4,15/2) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Matrix(1,0,2,-1) -> Matrix(1,0,22,-1) (0/1,1/1) -> (0/1,1/11) Matrix(289,-319,106,-117) -> Matrix(19,-2,86,-9) Matrix(463,-522,102,-115) -> Matrix(19,-2,28,-3) Matrix(1277,-1450,716,-813) -> Matrix(1,0,16,-1) *** -> (0/1,1/8) Matrix(579,-667,454,-523) -> Matrix(19,-2,162,-17) 1/9 Matrix(929,-1073,200,-231) -> Matrix(37,-4,28,-3) Matrix(1101,-1276,950,-1101) -> Matrix(127,-14,1152,-127) (22/19,29/25) -> (7/64,1/9) Matrix(349,-406,300,-349) -> Matrix(35,-4,306,-35) (29/25,7/6) -> (1/9,2/17) Matrix(173,-203,98,-115) -> Matrix(1,0,14,-1) *** -> (0/1,1/7) Matrix(289,-348,240,-289) -> Matrix(17,-2,144,-17) (6/5,29/24) -> (1/9,1/8) Matrix(407,-493,336,-407) -> Matrix(17,-2,144,-17) (29/24,17/14) -> (1/9,1/8) Matrix(523,-638,332,-405) -> Matrix(1,0,-2,1) 0/1 Matrix(117,-145,46,-57) -> Matrix(1,0,-4,1) 0/1 Matrix(231,-290,184,-231) -> Matrix(1,0,18,-1) (5/4,29/23) -> (0/1,1/9) Matrix(1103,-1392,874,-1103) -> Matrix(17,-2,144,-17) (29/23,24/19) -> (1/9,1/8) Matrix(871,-1102,230,-291) -> Matrix(1,0,12,-1) *** -> (0/1,1/6) Matrix(639,-812,410,-521) -> Matrix(15,-2,98,-13) 1/7 Matrix(1159,-1479,728,-929) -> Matrix(1,0,-2,1) 0/1 Matrix(1565,-2001,1224,-1565) -> Matrix(17,-2,144,-17) (23/18,87/68) -> (1/9,1/8) Matrix(4351,-5568,3400,-4351) -> Matrix(17,-2,144,-17) (87/68,32/25) -> (1/9,1/8) Matrix(521,-667,182,-233) -> Matrix(17,-2,60,-7) Matrix(1393,-1798,540,-697) -> Matrix(1,0,12,-1) *** -> (0/1,1/6) Matrix(987,-1276,584,-755) -> Matrix(33,-4,206,-25) Matrix(291,-377,44,-57) -> Matrix(1,0,-8,1) 0/1 Matrix(579,-754,268,-349) -> Matrix(17,-2,60,-7) Matrix(755,-986,134,-175) -> Matrix(15,-2,22,-3) Matrix(753,-986,488,-639) -> Matrix(29,-4,196,-27) 1/7 Matrix(463,-609,352,-463) -> Matrix(1,0,14,-1) (21/16,29/22) -> (0/1,1/7) Matrix(175,-232,132,-175) -> Matrix(1,0,18,-1) (29/22,4/3) -> (0/1,1/9) Matrix(1159,-1566,430,-581) -> Matrix(17,-2,94,-11) Matrix(985,-1334,556,-753) -> Matrix(17,-2,76,-9) Matrix(405,-551,86,-117) -> Matrix(17,-2,-8,1) Matrix(233,-319,84,-115) -> Matrix(17,-2,60,-7) Matrix(463,-638,336,-463) -> Matrix(65,-8,528,-65) (11/8,29/21) -> (4/33,1/8) Matrix(755,-1044,546,-755) -> Matrix(111,-14,880,-111) (29/21,18/13) -> (1/8,7/55) Matrix(523,-725,334,-463) -> Matrix(47,-6,290,-37) Matrix(291,-406,124,-173) -> Matrix(15,-2,38,-5) Matrix(349,-493,206,-291) -> Matrix(33,-4,206,-25) Matrix(695,-986,246,-349) -> Matrix(15,-2,68,-9) Matrix(2263,-3219,490,-697) -> Matrix(15,-2,-8,1) Matrix(1507,-2146,408,-581) -> Matrix(15,-2,98,-13) 1/7 Matrix(465,-667,122,-175) -> Matrix(15,-2,52,-7) Matrix(463,-667,202,-291) -> Matrix(1,0,-4,1) 0/1 Matrix(521,-754,360,-521) -> Matrix(15,-2,112,-15) (13/9,29/20) -> (1/8,1/7) Matrix(59,-87,40,-59) -> Matrix(15,-2,112,-15) (29/20,3/2) -> (1/8,1/7) Matrix(871,-1334,190,-291) -> Matrix(55,-8,48,-7) Matrix(869,-1334,114,-175) -> Matrix(41,-6,48,-7) Matrix(2203,-3393,1394,-2147) -> Matrix(27,-4,142,-21) Matrix(637,-986,188,-291) -> Matrix(53,-8,126,-19) Matrix(985,-1537,298,-465) -> Matrix(13,-2,20,-3) Matrix(1103,-1740,258,-407) -> Matrix(1,0,8,-1) *** -> (0/1,1/4) Matrix(2203,-3480,954,-1507) -> Matrix(11,-2,38,-7) Matrix(697,-1102,74,-117) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(7481,-11832,4730,-7481) -> Matrix(1,0,6,-1) (68/43,87/55) -> (0/1,1/3) Matrix(2089,-3306,1320,-2089) -> Matrix(1,0,14,-1) (87/55,19/12) -> (0/1,1/7) Matrix(695,-1102,292,-463) -> Matrix(1,0,8,-1) *** -> (0/1,1/4) Matrix(985,-1566,256,-407) -> Matrix(13,-2,46,-7) Matrix(289,-464,180,-289) -> Matrix(13,-2,84,-13) (8/5,29/18) -> (1/7,1/6) Matrix(233,-377,144,-233) -> Matrix(13,-2,84,-13) (29/18,13/8) -> (1/7,1/6) Matrix(231,-377,106,-173) -> Matrix(1,0,10,-1) *** -> (0/1,1/5) Matrix(407,-667,36,-59) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(2901,-4756,1628,-2669) -> Matrix(1,0,14,-1) *** -> (0/1,1/7) Matrix(813,-1334,142,-233) -> Matrix(15,-2,22,-3) Matrix(811,-1334,352,-579) -> Matrix(1,0,10,-1) *** -> (0/1,1/5) Matrix(755,-1247,422,-697) -> Matrix(1,0,12,-1) *** -> (0/1,1/6) Matrix(811,-1363,310,-521) -> Matrix(13,-2,58,-9) Matrix(579,-986,340,-579) -> Matrix(109,-18,660,-109) (17/10,29/17) -> (9/55,1/6) Matrix(407,-696,238,-407) -> Matrix(83,-14,492,-83) (29/17,12/7) -> (1/6,7/41) Matrix(117,-203,34,-59) -> Matrix(11,-2,16,-3) Matrix(523,-928,164,-291) -> Matrix(1,0,8,-1) *** -> (0/1,1/4) Matrix(929,-1653,358,-637) -> Matrix(1,0,0,1) Matrix(1219,-2175,292,-521) -> Matrix(13,-2,20,-3) Matrix(1915,-3422,812,-1451) -> Matrix(11,-2,16,-3) Matrix(1101,-1972,292,-523) -> Matrix(1,0,-2,1) 0/1 Matrix(289,-522,160,-289) -> Matrix(1,0,10,-1) (9/5,29/16) -> (0/1,1/5) Matrix(175,-319,96,-175) -> Matrix(1,0,12,-1) (29/16,11/6) -> (0/1,1/6) Matrix(173,-319,32,-59) -> Matrix(1,0,-4,1) 0/1 Matrix(405,-754,94,-175) -> Matrix(13,-2,20,-3) Matrix(291,-551,122,-231) -> Matrix(11,-2,6,-1) Matrix(231,-493,82,-175) -> Matrix(9,-2,32,-7) 1/4 Matrix(1159,-2494,270,-581) -> Matrix(23,-6,50,-13) Matrix(407,-899,158,-349) -> Matrix(1,0,8,-1) *** -> (0/1,1/4) Matrix(521,-1160,234,-521) -> Matrix(9,-2,40,-9) (20/9,29/13) -> (1/5,1/4) Matrix(233,-522,104,-233) -> Matrix(7,-2,24,-7) (29/13,9/4) -> (1/4,1/3) Matrix(115,-261,26,-59) -> Matrix(1,0,-2,1) 0/1 Matrix(927,-2146,200,-463) -> Matrix(7,-2,10,-3) Matrix(2959,-6989,1130,-2669) -> Matrix(3,-2,10,-7) Matrix(233,-551,74,-175) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(813,-1943,218,-521) -> Matrix(1,2,4,9) Matrix(289,-696,120,-289) -> Matrix(-1,0,6,1) (12/5,29/12) -> (-1/3,0/1) Matrix(59,-145,24,-59) -> Matrix(1,0,10,-1) (29/12,5/2) -> (0/1,1/5) Matrix(987,-2552,292,-755) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(4929,-12760,1904,-4929) -> Matrix(-1,0,6,1) (44/17,145/56) -> (-1/3,0/1) Matrix(3191,-8265,1232,-3191) -> Matrix(1,0,16,-1) (145/56,57/22) -> (0/1,1/8) Matrix(233,-609,44,-115) -> Matrix(1,0,-2,1) 0/1 Matrix(12817,-33553,4896,-12817) -> Matrix(7,-2,24,-7) (89/34,377/144) -> (1/4,1/3) Matrix(41471,-108576,15840,-41471) -> Matrix(7,-2,24,-7) (377/144,144/55) -> (1/4,1/3) Matrix(985,-2581,266,-697) -> Matrix(1,0,2,1) 0/1 Matrix(463,-1218,176,-463) -> Matrix(1,0,6,-1) (21/8,29/11) -> (0/1,1/3) Matrix(175,-464,66,-175) -> Matrix(1,0,10,-1) (29/11,8/3) -> (0/1,1/5) Matrix(173,-464,22,-59) -> Matrix(1,0,-4,1) 0/1 Matrix(753,-2030,194,-523) -> Matrix(11,-2,28,-5) Matrix(289,-783,86,-233) -> Matrix(1,0,-2,1) 0/1 Matrix(1217,-3306,448,-1217) -> Matrix(9,-2,40,-9) (19/7,87/32) -> (1/5,1/4) Matrix(1567,-4263,576,-1567) -> Matrix(9,-2,40,-9) (87/32,49/18) -> (1/5,1/4) Matrix(233,-638,42,-115) -> Matrix(9,-2,14,-3) Matrix(173,-493,20,-57) -> Matrix(7,-2,-4,1) Matrix(289,-928,90,-289) -> Matrix(1,0,6,-1) (16/5,29/9) -> (0/1,1/3) Matrix(233,-754,72,-233) -> Matrix(5,-2,12,-5) (29/9,13/4) -> (1/3,1/2) Matrix(115,-377,18,-59) -> Matrix(1,0,-2,1) 0/1 Matrix(811,-2668,176,-579) -> Matrix(5,-2,2,-1) Matrix(4929,-16240,1496,-4929) -> Matrix(5,-2,12,-5) (56/17,145/44) -> (1/3,1/2) Matrix(1451,-4785,440,-1451) -> Matrix(5,-2,12,-5) (145/44,33/10) -> (1/3,1/2) Matrix(57,-203,16,-57) -> Matrix(1,0,2,-1) (7/2,29/8) -> (0/1,1/1) Matrix(175,-638,48,-175) -> Matrix(1,0,14,-1) (29/8,11/3) -> (0/1,1/7) Matrix(173,-638,16,-59) -> Matrix(1,0,-6,1) 0/1 Matrix(639,-2378,140,-521) -> Matrix(19,-4,24,-5) Matrix(347,-1305,46,-173) -> Matrix(7,-2,10,-3) Matrix(811,-3132,210,-811) -> Matrix(25,-8,78,-25) (27/7,58/15) -> (4/13,1/3) Matrix(929,-3596,240,-929) -> Matrix(29,-10,84,-29) (58/15,31/8) -> (1/3,5/14) Matrix(57,-232,14,-57) -> Matrix(5,-2,12,-5) (4/1,29/7) -> (1/3,1/2) Matrix(349,-1450,84,-349) -> Matrix(11,-6,20,-11) (29/7,25/6) -> (1/2,3/5) Matrix(117,-493,14,-59) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(3943,-16936,918,-3943) -> Matrix(45,-22,92,-45) (73/17,116/27) -> (11/23,1/2) Matrix(2321,-9976,540,-2321) -> Matrix(31,-16,60,-31) (116/27,43/10) -> (1/2,8/15) Matrix(1217,-5568,266,-1217) -> Matrix(13,-12,14,-13) (32/7,87/19) -> (6/7,1/1) Matrix(2089,-9570,456,-2089) -> Matrix(17,-18,16,-17) (87/19,55/12) -> (1/1,9/8) Matrix(115,-551,24,-115) -> Matrix(-1,0,2,1) (19/4,29/6) -> (-1/1,0/1) Matrix(59,-290,12,-59) -> Matrix(1,0,6,-1) (29/6,5/1) -> (0/1,1/3) Matrix(231,-1334,40,-231) -> Matrix(7,-6,8,-7) (23/4,29/5) -> (3/4,1/1) Matrix(59,-348,10,-59) -> Matrix(1,0,2,-1) (29/5,6/1) -> (0/1,1/1) Matrix(57,-406,8,-57) -> Matrix(-1,0,2,1) (7/1,29/4) -> (-1/1,0/1) Matrix(59,-435,8,-59) -> Matrix(1,0,4,-1) (29/4,15/2) -> (0/1,1/2) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.