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): 2880 Minimal number of generators: 481 Number of equivalence classes of cusps: 90 Genus: 196 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -31/25 -31/26 0/1 1/1 31/27 31/24 31/23 31/22 155/109 3/2 31/20 93/59 31/19 155/91 31/18 93/52 31/17 2/1 15/7 124/57 31/14 93/41 62/27 217/92 31/13 155/64 5/2 155/61 31/12 186/71 124/47 62/23 93/34 31/11 3/1 62/19 124/37 155/46 186/55 31/9 7/2 18/5 62/17 310/83 248/65 31/8 4/1 21/5 124/29 30/7 13/3 31/7 9/2 14/3 62/13 24/5 29/6 5/1 31/6 26/5 21/4 16/3 27/5 11/2 28/5 62/11 17/3 23/4 29/5 6/1 31/5 25/4 19/3 13/2 20/3 27/4 7/1 22/3 37/5 15/2 23/3 31/4 8/1 17/2 9/1 19/2 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 0/1 -17/2 1/2 -8/1 5/1 -31/4 1/0 -23/3 -18/1 -38/5 -11/1 -15/2 -13/2 -22/3 -5/1 -7/1 -2/1 -27/4 1/0 -47/7 -10/7 -20/3 -1/1 -13/2 -3/2 -19/3 -2/1 -6/1 -1/1 -23/4 -1/4 -17/3 0/1 -28/5 1/3 -11/2 1/2 -27/5 0/1 -16/3 7/3 -21/4 1/0 -5/1 -4/1 -29/6 -5/2 -24/5 -7/3 -19/4 -7/4 -33/7 -2/1 -14/3 -5/3 -23/5 -6/5 -32/7 -1/1 -9/2 -3/2 -31/7 -1/1 -22/5 -1/1 -35/8 -3/4 -48/11 -3/5 -61/14 -1/2 -13/3 0/1 -30/7 -1/1 -47/11 -10/11 -17/4 -3/4 -21/5 0/1 -4/1 1/1 -31/8 1/0 -27/7 -14/1 -50/13 -9/1 -23/6 -13/2 -42/11 -5/1 -19/5 -4/1 -34/9 -3/1 -15/4 -11/4 -71/19 -2/1 -56/15 -7/3 -97/26 -5/2 -41/11 -2/1 -26/7 -5/3 -11/3 -2/1 -40/11 -9/5 -29/8 -7/4 -47/13 -16/11 -112/31 -1/1 -65/18 -3/2 -18/5 -1/1 -61/17 -2/1 -43/12 -7/4 -25/7 -4/3 -57/16 1/0 -32/9 -1/1 -7/2 -3/2 -31/9 -1/1 -24/7 -1/1 -65/19 -4/5 -41/12 -3/4 -17/5 -2/3 -61/18 -1/2 -44/13 -1/3 -71/21 0/1 -27/8 1/0 -91/27 0/1 -155/46 1/0 -64/19 -1/1 -37/11 0/1 -84/25 -1/1 -47/14 -5/2 -57/17 -6/5 -10/3 -1/1 -33/10 -3/2 -23/7 -2/5 -59/18 -1/2 -36/11 -1/1 -13/4 1/0 -29/9 0/1 -16/5 1/5 -19/6 1/2 -41/13 2/1 -22/7 1/1 -3/1 -2/1 -23/8 -7/4 -20/7 -1/1 -57/20 1/0 -37/13 -4/3 -17/6 -7/6 -31/11 -1/1 -14/5 -1/1 -25/9 -2/3 -11/4 1/0 -52/19 1/1 -93/34 1/0 -41/15 -2/1 -71/26 -3/2 -30/11 -1/1 -49/18 -1/2 -19/7 0/1 -46/17 -5/1 -27/10 -3/2 -8/3 -1/3 -45/17 2/1 -37/14 -1/2 -66/25 -1/5 -29/11 0/1 -21/8 1/0 -76/29 -1/1 -55/21 0/1 -89/34 1/2 -123/47 0/1 -34/13 1/1 -47/18 5/6 -13/5 2/1 -31/12 1/0 -18/7 -5/1 -59/23 -4/1 -41/16 1/0 -64/25 -3/1 -23/9 -8/3 -74/29 -3/1 -51/20 1/0 -28/11 -1/1 -61/24 1/0 -33/13 -2/1 -5/2 -3/2 -32/13 -1/1 -59/24 1/0 -27/11 0/1 -22/9 -3/1 -83/34 -5/2 -61/25 -2/1 -100/41 -7/3 -39/16 -7/4 -17/7 -2/1 -63/26 -3/2 -109/45 -56/37 -155/64 -3/2 -46/19 -25/17 -29/12 -11/8 -12/5 -1/1 -31/13 -1/1 -19/8 -7/8 -64/27 -1/1 -45/19 -6/7 -71/30 -5/6 -26/11 -5/7 -59/25 -2/3 -92/39 -1/1 -33/14 -1/2 -40/17 -3/5 -7/3 0/1 -30/13 -1/1 -23/10 -7/6 -16/7 -5/7 -41/18 -1/2 -25/11 0/1 -59/26 -1/2 -93/41 0/1 -34/15 -1/1 -43/19 0/1 -9/4 1/0 -47/21 -2/7 -38/17 -1/1 -29/13 0/1 -49/22 1/2 -20/9 1/1 -31/14 1/0 -11/5 -2/1 -24/11 -1/1 -37/17 -2/1 -50/23 -1/1 -13/6 -3/2 -15/7 -8/7 -17/8 1/0 -2/1 -1/1 -17/9 -2/1 -15/8 -7/8 -13/7 0/1 -63/34 -1/2 -50/27 -1/3 -87/47 0/1 -124/67 0/1 -37/20 1/0 -24/13 1/1 -35/19 -2/1 -11/6 -3/2 -31/17 -1/1 -20/11 -1/1 -29/16 -3/4 -38/21 -7/9 -47/26 -13/18 -9/5 -2/3 -34/19 -5/9 -93/52 -1/2 -59/33 -6/13 -84/47 -3/7 -25/14 -1/2 -66/37 1/1 -41/23 0/1 -16/9 -3/1 -39/22 -11/10 -62/35 -1/1 -23/13 -8/9 -30/17 -1/1 -7/4 -3/4 -33/19 -2/3 -125/72 -5/8 -217/125 -3/5 -92/53 -3/5 -59/34 -1/2 -26/15 -1/1 -97/56 -5/8 -71/41 -2/3 -45/26 -1/2 -64/37 -3/5 -83/48 -7/12 -19/11 -4/7 -31/18 -1/2 -12/7 -1/3 -65/38 -1/2 -118/69 -1/3 -53/31 0/1 -41/24 -1/4 -29/17 0/1 -46/27 -1/9 -155/91 0/1 -109/64 1/16 -63/37 0/1 -17/10 -1/2 -39/23 4/1 -100/59 -3/1 -61/36 1/0 -83/49 -2/1 -22/13 -1/1 -27/16 1/0 -59/35 0/1 -32/19 -1/1 -5/3 -2/3 -33/20 1/0 -94/57 -1/1 -155/94 -1/2 -61/37 0/1 -28/17 -1/1 -23/14 -3/2 -64/39 -1/1 -105/64 -3/4 -41/25 0/1 -59/36 1/0 -18/11 -1/1 -31/19 -1/1 -13/8 -3/4 -47/29 -8/9 -34/21 -5/7 -123/76 -3/4 -89/55 -4/5 -55/34 -7/10 -186/115 -2/3 -131/81 -2/3 -76/47 -3/5 -97/60 -3/4 -21/13 -2/3 -71/44 -3/4 -121/75 -2/3 -50/31 -1/1 -29/18 -7/10 -124/77 -2/3 -95/59 -2/3 -66/41 -7/11 -37/23 -2/3 -45/28 -7/12 -8/5 -1/3 -35/22 -3/2 -62/39 -1/1 -27/17 -4/5 -46/29 -9/13 -19/12 -3/4 -49/31 0/1 -30/19 -1/1 -41/26 -1/2 -93/59 -1/1 -52/33 -1/1 -63/40 -3/4 -11/7 -2/3 -36/23 -7/11 -97/62 -1/2 -61/39 -2/3 -86/55 -7/11 -25/16 -5/8 -64/41 -3/5 -39/25 -8/13 -14/9 -5/9 -31/20 -1/2 -17/11 -4/9 -37/24 -3/8 -20/13 -1/3 -23/15 -2/3 -3/2 -1/2 -25/17 0/1 -22/15 -1/1 -41/28 1/0 -19/13 0/1 -16/11 -5/9 -29/20 -3/8 -13/9 0/1 -62/43 0/1 -49/34 1/2 -36/25 1/1 -59/41 0/1 -23/16 -1/4 -56/39 -1/1 -89/62 -1/2 -33/23 0/1 -43/30 1/2 -10/7 -1/1 -67/47 -6/5 -124/87 -1/1 -57/40 -7/8 -104/73 -1/1 -47/33 -8/11 -37/26 -1/2 -64/45 -1/1 -155/109 -1/1 -91/64 -11/12 -27/19 -4/5 -98/69 -11/15 -71/50 -7/10 -186/131 -2/3 -115/81 -2/3 -44/31 -1/1 -61/43 -2/3 -17/12 -5/8 -41/29 -4/7 -65/46 -1/2 -89/63 -4/7 -24/17 -7/13 -31/22 -1/2 -7/5 -2/5 -32/23 -1/3 -57/41 -2/5 -82/59 -1/3 -25/18 -1/2 -93/67 -1/3 -68/49 -1/3 -43/31 -2/7 -104/75 -1/3 -165/119 -2/7 -61/44 -1/4 -18/13 -1/3 -65/47 0/1 -112/81 -1/5 -47/34 -1/10 -123/89 0/1 -76/55 -1/1 -29/21 0/1 -69/50 -1/6 -40/29 -1/5 -51/37 0/1 -62/45 0/1 -11/8 1/0 -37/27 -2/3 -100/73 -3/5 -63/46 -1/2 -89/65 0/1 -26/19 -5/9 -93/68 -1/2 -67/49 -14/29 -41/30 -1/2 -97/71 -4/9 -56/41 -3/7 -183/134 -1/2 -310/227 -3/7 -127/93 -2/5 -71/52 -5/12 -15/11 -4/11 -34/25 -3/11 -53/39 0/1 -72/53 -1/5 -19/14 -1/2 -61/45 0/1 -103/76 -1/4 -248/183 0/1 -145/107 0/1 -42/31 -1/3 -23/17 -2/9 -50/37 -1/5 -77/57 -4/25 -27/20 -1/8 -31/23 0/1 -4/3 -1/1 -25/19 0/1 -21/16 1/0 -17/13 0/1 -47/36 -9/8 -124/95 -1/1 -77/59 -16/17 -30/23 -1/1 -13/10 -1/2 -74/57 -1/1 -61/47 -2/3 -48/37 -3/5 -83/64 -5/8 -35/27 -2/3 -22/17 -5/9 -31/24 -1/2 -9/7 -2/5 -41/32 -3/8 -32/25 -1/3 -23/18 -3/10 -60/47 -1/3 -37/29 0/1 -14/11 -1/3 -61/48 -1/4 -47/37 -8/33 -33/26 -3/14 -52/41 -1/5 -19/15 0/1 -62/49 0/1 -43/34 1/6 -24/19 -1/1 -29/23 0/1 -5/4 -1/4 -31/25 0/1 -26/21 1/9 -21/17 0/1 -16/13 3/1 -27/22 -1/2 -65/53 0/1 -38/31 -1/1 -11/9 0/1 -61/50 -1/2 -50/41 -1/1 -39/32 -3/8 -28/23 -1/3 -45/37 0/1 -62/51 0/1 -17/14 1/2 -23/19 -4/1 -29/24 -5/4 -35/29 -2/3 -6/5 -1/1 -31/26 -1/2 -25/21 -4/9 -19/16 -3/8 -13/11 0/1 -33/28 -3/8 -20/17 -1/3 -67/57 -2/5 -47/40 -7/24 -74/63 -3/11 -27/23 -2/9 -7/6 -1/2 -22/19 -1/3 -37/32 -1/4 -15/13 -2/13 -38/33 -1/9 -23/20 -1/16 -31/27 0/1 -8/7 1/3 -17/15 -2/1 -9/8 1/0 -19/17 0/1 -10/9 -1/1 -11/10 -1/2 -12/11 -1/3 -1/1 0/1 0/1 0/1 1/1 0/1 10/9 1/1 9/8 1/0 17/15 2/1 8/7 -1/3 31/27 0/1 23/20 1/16 38/33 1/9 15/13 2/13 22/19 1/3 7/6 1/2 27/23 2/9 47/40 7/24 20/17 1/3 13/11 0/1 19/16 3/8 6/5 1/1 23/19 4/1 17/14 -1/2 28/23 1/3 11/9 0/1 27/22 1/2 16/13 -3/1 21/17 0/1 5/4 1/4 29/23 0/1 24/19 1/1 19/15 0/1 33/26 3/14 14/11 1/3 23/18 3/10 32/25 1/3 9/7 2/5 31/24 1/2 22/17 5/9 35/27 2/3 48/37 3/5 61/47 2/3 13/10 1/2 30/23 1/1 47/36 9/8 17/13 0/1 21/16 1/0 4/3 1/1 31/23 0/1 27/20 1/8 50/37 1/5 23/17 2/9 42/31 1/3 19/14 1/2 34/25 3/11 15/11 4/11 71/52 5/12 56/41 3/7 97/71 4/9 41/30 1/2 26/19 5/9 11/8 1/0 40/29 1/5 29/21 0/1 47/34 1/10 112/81 1/5 65/47 0/1 18/13 1/3 61/44 1/4 43/31 2/7 25/18 1/2 57/41 2/5 32/23 1/3 7/5 2/5 31/22 1/2 24/17 7/13 65/46 1/2 41/29 4/7 17/12 5/8 61/43 2/3 44/31 1/1 71/50 7/10 27/19 4/5 91/64 11/12 155/109 1/1 64/45 1/1 37/26 1/2 84/59 3/5 47/33 8/11 57/40 7/8 10/7 1/1 33/23 0/1 23/16 1/4 59/41 0/1 36/25 -1/1 13/9 0/1 29/20 3/8 16/11 5/9 19/13 0/1 41/28 1/0 22/15 1/1 3/2 1/2 23/15 2/3 20/13 1/3 57/37 4/11 37/24 3/8 17/11 4/9 31/20 1/2 14/9 5/9 25/16 5/8 11/7 2/3 52/33 1/1 93/59 1/1 41/26 1/2 71/45 2/3 30/19 1/1 49/31 0/1 19/12 3/4 46/29 9/13 27/17 4/5 8/5 1/3 45/28 7/12 37/23 2/3 66/41 7/11 29/18 7/10 21/13 2/3 76/47 3/5 55/34 7/10 89/55 4/5 123/76 3/4 34/21 5/7 47/29 8/9 13/8 3/4 31/19 1/1 18/11 1/1 59/36 1/0 41/25 0/1 64/39 1/1 23/14 3/2 74/45 -1/1 51/31 0/1 28/17 1/1 61/37 0/1 33/20 1/0 5/3 2/3 32/19 1/1 59/35 0/1 27/16 1/0 22/13 1/1 83/49 2/1 61/36 1/0 100/59 3/1 39/23 -4/1 17/10 1/2 63/37 0/1 109/64 -1/16 155/91 0/1 46/27 1/9 29/17 0/1 12/7 1/3 31/18 1/2 19/11 4/7 64/37 3/5 45/26 1/2 71/41 2/3 26/15 1/1 59/34 1/2 92/53 3/5 33/19 2/3 40/23 1/1 7/4 3/4 30/17 1/1 23/13 8/9 16/9 3/1 41/23 0/1 25/14 1/2 59/33 6/13 93/52 1/2 34/19 5/9 43/24 5/8 9/5 2/3 47/26 13/18 38/21 7/9 29/16 3/4 49/27 6/7 20/11 1/1 31/17 1/1 11/6 3/2 24/13 -1/1 37/20 1/0 50/27 1/3 13/7 0/1 15/8 7/8 17/9 2/1 2/1 1/1 17/8 1/0 15/7 8/7 13/6 3/2 63/29 2/1 50/23 1/1 87/40 7/4 124/57 2/1 37/17 2/1 24/11 1/1 35/16 1/0 11/5 2/1 31/14 1/0 20/9 -1/1 29/13 0/1 38/17 1/1 47/21 2/7 9/4 1/0 34/15 1/1 93/41 0/1 59/26 1/2 84/37 1/1 25/11 0/1 66/29 1/3 41/18 1/2 16/7 5/7 39/17 12/13 62/27 1/1 23/10 7/6 30/13 1/1 7/3 0/1 33/14 1/2 125/53 2/3 217/92 3/4 92/39 1/1 59/25 2/3 26/11 5/7 97/41 10/13 71/30 5/6 45/19 6/7 64/27 1/1 83/35 4/5 19/8 7/8 31/13 1/1 12/5 1/1 65/27 4/3 118/49 1/1 53/22 3/2 41/17 4/3 29/12 11/8 46/19 25/17 155/64 3/2 109/45 56/37 63/26 3/2 17/7 2/1 39/16 7/4 100/41 7/3 61/25 2/1 83/34 5/2 22/9 3/1 27/11 0/1 59/24 1/0 32/13 1/1 5/2 3/2 33/13 2/1 94/37 3/1 155/61 3/1 61/24 1/0 28/11 1/1 23/9 8/3 64/25 3/1 105/41 4/1 41/16 1/0 59/23 4/1 18/7 5/1 31/12 1/0 13/5 -2/1 47/18 -5/6 34/13 -1/1 123/47 0/1 89/34 -1/2 55/21 0/1 186/71 0/1 131/50 1/6 76/29 1/1 97/37 0/1 21/8 1/0 71/27 0/1 121/46 -1/2 50/19 -1/1 29/11 0/1 124/47 0/1 95/36 1/12 66/25 1/5 37/14 1/2 45/17 -2/1 8/3 1/3 35/13 4/5 62/23 1/1 27/10 3/2 46/17 5/1 19/7 0/1 49/18 1/2 30/11 1/1 41/15 2/1 93/34 1/0 52/19 -1/1 63/23 0/1 11/4 1/0 36/13 5/9 97/35 0/1 61/22 1/2 86/31 3/5 25/9 2/3 64/23 1/1 39/14 5/6 14/5 1/1 31/11 1/1 17/6 7/6 37/13 4/3 20/7 1/1 23/8 7/4 3/1 2/1 25/8 1/0 22/7 -1/1 41/13 -2/1 19/6 -1/2 16/5 -1/5 29/9 0/1 13/4 1/0 62/19 0/1 49/15 0/1 36/11 1/1 59/18 1/2 23/7 2/5 56/17 1/1 89/27 4/5 33/10 3/2 43/13 0/1 10/3 1/1 67/20 7/8 124/37 1/1 57/17 6/5 104/31 1/1 47/14 5/2 37/11 0/1 64/19 1/1 155/46 1/0 91/27 0/1 27/8 1/0 98/29 1/3 71/21 0/1 186/55 0/1 115/34 1/6 44/13 1/3 61/18 1/2 17/5 2/3 41/12 3/4 65/19 4/5 89/26 5/6 24/7 1/1 31/9 1/1 7/2 3/2 32/9 1/1 57/16 1/0 82/23 1/1 25/7 4/3 93/26 3/2 68/19 11/7 43/12 7/4 104/29 5/3 165/46 3/2 61/17 2/1 18/5 1/1 65/18 3/2 112/31 1/1 47/13 16/11 123/34 3/2 76/21 11/7 29/8 7/4 69/19 12/7 40/11 9/5 51/14 19/10 62/17 2/1 11/3 2/1 37/10 3/2 100/27 5/3 63/17 2/1 89/24 1/0 26/7 5/3 93/25 2/1 67/18 21/10 41/11 2/1 97/26 5/2 56/15 7/3 183/49 2/1 310/83 7/3 127/34 5/2 71/19 2/1 15/4 11/4 34/9 3/1 53/14 7/2 72/19 3/1 19/5 4/1 61/16 1/0 103/27 4/1 248/65 4/1 145/38 9/2 42/11 5/1 23/6 13/2 50/13 9/1 77/20 41/4 27/7 14/1 31/8 1/0 4/1 -1/1 25/6 1/2 21/5 0/1 17/4 3/4 47/11 10/11 124/29 1/1 77/18 15/14 30/7 1/1 13/3 0/1 74/17 1/3 61/14 1/2 48/11 3/5 83/19 2/3 35/8 3/4 22/5 1/1 31/7 1/1 9/2 3/2 41/9 2/1 32/7 1/1 23/5 6/5 60/13 1/1 37/8 5/4 14/3 5/3 61/13 2/1 47/10 13/6 33/7 2/1 52/11 1/1 19/4 7/4 62/13 2/1 43/9 2/1 24/5 7/3 29/6 5/2 5/1 4/1 31/6 1/0 26/5 -15/1 21/4 1/0 16/3 -7/3 27/5 0/1 65/12 1/0 38/7 -3/1 11/2 -1/2 61/11 0/1 50/9 -1/1 39/7 -2/1 28/5 -1/3 45/8 -1/8 62/11 0/1 17/3 0/1 23/4 1/4 29/5 0/1 35/6 1/2 6/1 1/1 31/5 1/1 25/4 5/4 19/3 2/1 13/2 3/2 33/5 2/1 20/3 1/1 67/10 1/2 47/7 10/7 74/11 5/3 27/4 1/0 7/1 2/1 22/3 5/1 37/5 4/1 15/2 13/2 38/5 11/1 23/3 18/1 31/4 1/0 8/1 -5/1 17/2 -1/2 9/1 0/1 19/2 -1/2 10/1 1/1 11/1 2/1 12/1 1/1 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(63,682,-40,-433) (-10/1,1/0) -> (-52/33,-63/40) Hyperbolic Matrix(125,1178,-92,-867) (-10/1,-9/1) -> (-53/39,-72/53) Hyperbolic Matrix(187,1612,108,931) (-9/1,-17/2) -> (45/26,71/41) Hyperbolic Matrix(61,496,38,309) (-17/2,-8/1) -> (8/5,45/28) Hyperbolic Matrix(63,496,8,63) (-8/1,-31/4) -> (31/4,8/1) Hyperbolic Matrix(185,1426,24,185) (-31/4,-23/3) -> (23/3,31/4) Hyperbolic Matrix(495,3782,292,2231) (-23/3,-38/5) -> (100/59,39/23) Hyperbolic Matrix(311,2356,172,1303) (-38/5,-15/2) -> (47/26,38/21) Hyperbolic Matrix(309,2294,-92,-683) (-15/2,-22/3) -> (-84/25,-47/14) Hyperbolic Matrix(247,1798,68,495) (-22/3,-7/1) -> (69/19,40/11) Hyperbolic Matrix(309,2108,118,805) (-7/1,-27/4) -> (89/34,55/21) Hyperbolic Matrix(497,3348,-368,-2479) (-27/4,-47/7) -> (-77/57,-27/20) Hyperbolic Matrix(869,5828,-610,-4091) (-47/7,-20/3) -> (-104/73,-47/33) Hyperbolic Matrix(187,1240,-84,-557) (-20/3,-13/2) -> (-49/22,-20/9) Hyperbolic Matrix(185,1178,68,433) (-13/2,-19/3) -> (19/7,49/18) Hyperbolic Matrix(247,1550,-178,-1117) (-19/3,-6/1) -> (-68/49,-43/31) Hyperbolic Matrix(247,1426,-172,-993) (-6/1,-23/4) -> (-23/16,-56/39) Hyperbolic Matrix(185,1054,76,433) (-23/4,-17/3) -> (17/7,39/16) Hyperbolic Matrix(309,1736,-254,-1427) (-17/3,-28/5) -> (-28/23,-45/37) Hyperbolic Matrix(311,1736,-122,-681) (-28/5,-11/2) -> (-51/20,-28/11) Hyperbolic Matrix(125,682,-68,-371) (-11/2,-27/5) -> (-35/19,-11/6) Hyperbolic Matrix(311,1674,196,1055) (-27/5,-16/3) -> (46/29,27/17) Hyperbolic Matrix(187,992,82,435) (-16/3,-21/4) -> (41/18,16/7) Hyperbolic Matrix(309,1612,-226,-1179) (-21/4,-5/1) -> (-67/49,-41/30) Hyperbolic Matrix(63,310,38,187) (-5/1,-29/6) -> (33/20,5/3) Hyperbolic Matrix(373,1798,206,993) (-29/6,-24/5) -> (38/21,29/16) Hyperbolic Matrix(311,1488,-246,-1177) (-24/5,-19/4) -> (-43/34,-24/19) Hyperbolic Matrix(433,2046,-302,-1427) (-19/4,-33/7) -> (-33/23,-43/30) Hyperbolic Matrix(619,2914,-448,-2109) (-33/7,-14/3) -> (-76/55,-29/21) Hyperbolic Matrix(187,868,-120,-557) (-14/3,-23/5) -> (-39/25,-14/9) Hyperbolic Matrix(311,1426,176,807) (-23/5,-32/7) -> (30/17,23/13) Hyperbolic Matrix(557,2542,-204,-931) (-32/7,-9/2) -> (-71/26,-30/11) Hyperbolic Matrix(125,558,28,125) (-9/2,-31/7) -> (31/7,9/2) Hyperbolic Matrix(309,1364,70,309) (-31/7,-22/5) -> (22/5,31/7) Hyperbolic Matrix(311,1364,184,807) (-22/5,-35/8) -> (27/16,22/13) Hyperbolic Matrix(1675,7316,-1036,-4525) (-35/8,-48/11) -> (-76/47,-97/60) Hyperbolic Matrix(2417,10540,668,2913) (-48/11,-61/14) -> (123/34,76/21) Hyperbolic Matrix(371,1612,-200,-869) (-61/14,-13/3) -> (-13/7,-63/34) Hyperbolic Matrix(433,1860,274,1177) (-13/3,-30/7) -> (30/19,49/31) Hyperbolic Matrix(869,3720,-666,-2851) (-30/7,-47/11) -> (-77/59,-30/23) Hyperbolic Matrix(247,1054,116,495) (-47/11,-17/4) -> (17/8,15/7) Hyperbolic Matrix(249,1054,176,745) (-17/4,-21/5) -> (41/29,17/12) Hyperbolic Matrix(371,1550,-208,-869) (-21/5,-4/1) -> (-66/37,-41/23) Hyperbolic Matrix(63,248,16,63) (-4/1,-31/8) -> (31/8,4/1) Hyperbolic Matrix(433,1674,112,433) (-31/8,-27/7) -> (27/7,31/8) Hyperbolic Matrix(869,3348,-740,-2851) (-27/7,-50/13) -> (-74/63,-27/23) Hyperbolic Matrix(743,2852,452,1735) (-50/13,-23/6) -> (23/14,74/45) Hyperbolic Matrix(373,1426,130,497) (-23/6,-42/11) -> (20/7,23/8) Hyperbolic Matrix(993,3782,-716,-2727) (-42/11,-19/5) -> (-43/31,-104/75) Hyperbolic Matrix(557,2108,-246,-931) (-19/5,-34/9) -> (-34/15,-43/19) Hyperbolic Matrix(559,2108,214,807) (-34/9,-15/4) -> (47/18,34/13) Hyperbolic Matrix(929,3472,514,1921) (-15/4,-71/19) -> (9/5,47/26) Hyperbolic Matrix(3037,11346,-1776,-6635) (-71/19,-56/15) -> (-118/69,-53/31) Hyperbolic Matrix(681,2542,116,433) (-56/15,-97/26) -> (35/6,6/1) Hyperbolic Matrix(2543,9486,582,2171) (-97/26,-41/11) -> (83/19,35/8) Hyperbolic Matrix(433,1612,-350,-1303) (-41/11,-26/7) -> (-26/21,-21/17) Hyperbolic Matrix(185,682,-118,-435) (-26/7,-11/3) -> (-11/7,-36/23) Hyperbolic Matrix(681,2480,-494,-1799) (-11/3,-40/11) -> (-40/29,-51/37) Hyperbolic Matrix(683,2480,-290,-1053) (-40/11,-29/8) -> (-33/14,-40/17) Hyperbolic Matrix(805,2914,-634,-2295) (-29/8,-47/13) -> (-47/37,-33/26) Hyperbolic Matrix(3037,10974,-2248,-8123) (-47/13,-112/31) -> (-50/37,-77/57) Hyperbolic Matrix(4651,16802,1768,6387) (-112/31,-65/18) -> (121/46,50/19) Hyperbolic Matrix(619,2232,378,1363) (-65/18,-18/5) -> (18/11,59/36) Hyperbolic Matrix(1053,3782,742,2665) (-18/5,-61/17) -> (61/43,44/31) Hyperbolic Matrix(1055,3782,-778,-2789) (-61/17,-43/12) -> (-19/14,-61/45) Hyperbolic Matrix(433,1550,-364,-1303) (-43/12,-25/7) -> (-25/21,-19/16) Hyperbolic Matrix(991,3534,-348,-1241) (-25/7,-57/16) -> (-57/20,-37/13) Hyperbolic Matrix(557,1984,226,805) (-57/16,-32/9) -> (32/13,5/2) Hyperbolic Matrix(123,434,70,247) (-32/9,-7/2) -> (7/4,30/17) Hyperbolic Matrix(125,434,36,125) (-7/2,-31/9) -> (31/9,7/2) Hyperbolic Matrix(433,1488,126,433) (-31/9,-24/7) -> (24/7,31/9) Hyperbolic Matrix(1177,4030,-960,-3287) (-24/7,-65/19) -> (-65/53,-38/31) Hyperbolic Matrix(1487,5084,580,1983) (-65/19,-41/12) -> (41/16,59/23) Hyperbolic Matrix(309,1054,236,805) (-41/12,-17/5) -> (17/13,21/16) Hyperbolic Matrix(621,2108,256,869) (-17/5,-61/18) -> (63/26,17/7) Hyperbolic Matrix(1117,3782,806,2729) (-61/18,-44/13) -> (18/13,61/44) Hyperbolic Matrix(2419,8184,-1704,-5765) (-44/13,-71/21) -> (-115/81,-44/31) Hyperbolic Matrix(2605,8804,-1504,-5083) (-71/21,-27/8) -> (-97/56,-71/41) Hyperbolic Matrix(1177,3968,202,681) (-27/8,-91/27) -> (29/5,35/6) Hyperbolic Matrix(8371,28210,2484,8371) (-91/27,-155/46) -> (155/46,91/27) Hyperbolic Matrix(5889,19840,1748,5889) (-155/46,-64/19) -> (64/19,155/46) Hyperbolic Matrix(1179,3968,424,1427) (-64/19,-37/11) -> (25/9,64/23) Hyperbolic Matrix(1549,5208,682,2293) (-37/11,-84/25) -> (84/37,25/11) Hyperbolic Matrix(1737,5828,-1478,-4959) (-47/14,-57/17) -> (-67/57,-47/40) Hyperbolic Matrix(371,1240,-260,-869) (-57/17,-10/3) -> (-10/7,-67/47) Hyperbolic Matrix(619,2046,-488,-1613) (-10/3,-33/10) -> (-33/26,-52/41) Hyperbolic Matrix(433,1426,-358,-1179) (-33/10,-23/7) -> (-23/19,-29/24) Hyperbolic Matrix(435,1426,284,931) (-23/7,-59/18) -> (3/2,23/15) Hyperbolic Matrix(1117,3658,644,2109) (-59/18,-36/11) -> (26/15,59/34) Hyperbolic Matrix(683,2232,-474,-1549) (-36/11,-13/4) -> (-49/34,-36/25) Hyperbolic Matrix(557,1798,-250,-807) (-13/4,-29/9) -> (-29/13,-49/22) Hyperbolic Matrix(559,1798,328,1055) (-29/9,-16/5) -> (46/27,29/17) Hyperbolic Matrix(371,1178,234,743) (-16/5,-19/6) -> (19/12,46/29) Hyperbolic Matrix(745,2356,314,993) (-19/6,-41/13) -> (83/35,19/8) Hyperbolic Matrix(867,2728,512,1611) (-41/13,-22/7) -> (22/13,83/49) Hyperbolic Matrix(497,1550,-278,-867) (-22/7,-3/1) -> (-59/33,-84/47) Hyperbolic Matrix(495,1426,344,991) (-3/1,-23/8) -> (23/16,59/41) Hyperbolic Matrix(497,1426,130,373) (-23/8,-20/7) -> (42/11,23/6) Hyperbolic Matrix(2479,7068,-1740,-4961) (-20/7,-57/20) -> (-57/40,-104/73) Hyperbolic Matrix(807,2294,502,1427) (-37/13,-17/6) -> (45/28,37/23) Hyperbolic Matrix(373,1054,132,373) (-17/6,-31/11) -> (31/11,17/6) Hyperbolic Matrix(309,868,110,309) (-31/11,-14/5) -> (14/5,31/11) Hyperbolic Matrix(311,868,-244,-681) (-14/5,-25/9) -> (-37/29,-14/11) Hyperbolic Matrix(247,682,-180,-497) (-25/9,-11/4) -> (-11/8,-37/27) Hyperbolic Matrix(249,682,-226,-619) (-11/4,-52/19) -> (-10/9,-11/10) Hyperbolic Matrix(3535,9672,1292,3535) (-52/19,-93/34) -> (93/34,52/19) Hyperbolic Matrix(2789,7626,1020,2789) (-93/34,-41/15) -> (41/15,93/34) Hyperbolic Matrix(1861,5084,772,2109) (-41/15,-71/26) -> (53/22,41/17) Hyperbolic Matrix(683,1860,524,1427) (-30/11,-49/18) -> (13/10,30/23) Hyperbolic Matrix(433,1178,68,185) (-49/18,-19/7) -> (19/3,13/2) Hyperbolic Matrix(435,1178,298,807) (-19/7,-46/17) -> (16/11,19/13) Hyperbolic Matrix(619,1674,504,1363) (-46/17,-27/10) -> (27/22,16/13) Hyperbolic Matrix(185,496,-116,-311) (-27/10,-8/3) -> (-8/5,-35/22) Hyperbolic Matrix(187,496,164,435) (-8/3,-45/17) -> (17/15,8/7) Hyperbolic Matrix(867,2294,562,1487) (-45/17,-37/14) -> (37/24,17/11) Hyperbolic Matrix(681,1798,164,433) (-37/14,-66/25) -> (4/1,25/6) Hyperbolic Matrix(3101,8184,-1926,-5083) (-66/25,-29/11) -> (-95/59,-66/41) Hyperbolic Matrix(683,1798,-400,-1053) (-29/11,-21/8) -> (-41/24,-29/17) Hyperbolic Matrix(2791,7316,-2152,-5641) (-21/8,-76/29) -> (-48/37,-83/64) Hyperbolic Matrix(5395,14136,-3336,-8741) (-76/29,-55/21) -> (-131/81,-76/47) Hyperbolic Matrix(805,2108,118,309) (-55/21,-89/34) -> (27/4,7/1) Hyperbolic Matrix(6325,16554,1706,4465) (-89/34,-123/47) -> (63/17,89/24) Hyperbolic Matrix(2109,5518,1280,3349) (-123/47,-34/13) -> (28/17,61/37) Hyperbolic Matrix(807,2108,214,559) (-34/13,-47/18) -> (15/4,34/9) Hyperbolic Matrix(309,806,166,433) (-47/18,-13/5) -> (13/7,15/8) Hyperbolic Matrix(311,806,120,311) (-13/5,-31/12) -> (31/12,13/5) Hyperbolic Matrix(433,1116,168,433) (-31/12,-18/7) -> (18/7,31/12) Hyperbolic Matrix(869,2232,628,1613) (-18/7,-59/23) -> (65/47,18/13) Hyperbolic Matrix(1983,5084,580,1487) (-59/23,-41/16) -> (41/12,65/19) Hyperbolic Matrix(3099,7936,-1792,-4589) (-41/16,-64/25) -> (-64/37,-83/48) Hyperbolic Matrix(1115,2852,242,619) (-64/25,-23/9) -> (23/5,60/13) Hyperbolic Matrix(1117,2852,826,2109) (-23/9,-74/29) -> (50/37,23/17) Hyperbolic Matrix(559,1426,-510,-1301) (-74/29,-51/20) -> (-11/10,-12/11) Hyperbolic Matrix(2169,5518,1340,3409) (-28/11,-61/24) -> (123/76,34/21) Hyperbolic Matrix(2417,6138,-1392,-3535) (-61/24,-33/13) -> (-33/19,-125/72) Hyperbolic Matrix(123,310,98,247) (-33/13,-5/2) -> (5/4,29/23) Hyperbolic Matrix(805,1984,226,557) (-5/2,-32/13) -> (32/9,57/16) Hyperbolic Matrix(2975,7316,1714,4215) (-32/13,-59/24) -> (59/34,92/53) Hyperbolic Matrix(1363,3348,252,619) (-59/24,-27/11) -> (27/5,65/12) Hyperbolic Matrix(557,1364,430,1053) (-27/11,-22/9) -> (22/17,35/27) Hyperbolic Matrix(1117,2728,762,1861) (-22/9,-83/34) -> (41/28,22/15) Hyperbolic Matrix(4649,11346,-3430,-8371) (-83/34,-61/25) -> (-61/45,-103/76) Hyperbolic Matrix(5083,12400,1372,3347) (-61/25,-100/41) -> (100/27,63/17) Hyperbolic Matrix(1551,3782,1348,3287) (-100/41,-39/16) -> (23/20,38/33) Hyperbolic Matrix(433,1054,76,185) (-39/16,-17/7) -> (17/3,23/4) Hyperbolic Matrix(869,2108,256,621) (-17/7,-63/26) -> (61/18,17/5) Hyperbolic Matrix(6757,16368,1868,4525) (-63/26,-109/45) -> (47/13,123/34) Hyperbolic Matrix(13951,33790,5760,13951) (-109/45,-155/64) -> (155/64,109/45) Hyperbolic Matrix(5889,14260,2432,5889) (-155/64,-46/19) -> (46/19,155/64) Hyperbolic Matrix(743,1798,512,1239) (-46/19,-29/12) -> (29/20,16/11) Hyperbolic Matrix(745,1798,-462,-1115) (-29/12,-12/5) -> (-50/31,-29/18) Hyperbolic Matrix(311,744,130,311) (-12/5,-31/13) -> (31/13,12/5) Hyperbolic Matrix(495,1178,208,495) (-31/13,-19/8) -> (19/8,31/13) Hyperbolic Matrix(3347,7936,-2040,-4837) (-19/8,-64/27) -> (-64/39,-105/64) Hyperbolic Matrix(497,1178,262,621) (-64/27,-45/19) -> (17/9,2/1) Hyperbolic Matrix(681,1612,602,1425) (-45/19,-71/30) -> (9/8,17/15) Hyperbolic Matrix(3721,8804,-2620,-6199) (-71/30,-26/11) -> (-98/69,-71/50) Hyperbolic Matrix(1549,3658,1076,2541) (-26/11,-59/25) -> (59/41,36/25) Hyperbolic Matrix(3101,7316,1840,4341) (-59/25,-92/39) -> (32/19,59/35) Hyperbolic Matrix(2603,6138,-1578,-3721) (-92/39,-33/14) -> (-33/20,-94/57) Hyperbolic Matrix(185,434,26,61) (-40/17,-7/3) -> (7/1,22/3) Hyperbolic Matrix(187,434,134,311) (-7/3,-30/13) -> (32/23,7/5) Hyperbolic Matrix(619,1426,484,1115) (-30/13,-23/10) -> (23/18,32/25) Hyperbolic Matrix(433,992,-244,-559) (-23/10,-16/7) -> (-16/9,-39/22) Hyperbolic Matrix(435,992,82,187) (-16/7,-41/18) -> (21/4,16/3) Hyperbolic Matrix(681,1550,-518,-1179) (-41/18,-25/11) -> (-25/19,-21/16) Hyperbolic Matrix(683,1550,-464,-1053) (-25/11,-59/26) -> (-3/2,-25/17) Hyperbolic Matrix(4837,10974,2132,4837) (-59/26,-93/41) -> (93/41,59/26) Hyperbolic Matrix(2789,6324,1230,2789) (-93/41,-34/15) -> (34/15,93/41) Hyperbolic Matrix(247,558,-220,-497) (-43/19,-9/4) -> (-9/8,-19/17) Hyperbolic Matrix(1551,3472,1136,2543) (-9/4,-47/21) -> (15/11,71/52) Hyperbolic Matrix(1053,2356,914,2045) (-47/21,-38/17) -> (38/33,15/13) Hyperbolic Matrix(805,1798,638,1425) (-38/17,-29/13) -> (29/23,24/19) Hyperbolic Matrix(559,1240,252,559) (-20/9,-31/14) -> (31/14,20/9) Hyperbolic Matrix(309,682,140,309) (-31/14,-11/5) -> (11/5,31/14) Hyperbolic Matrix(311,682,-254,-557) (-11/5,-24/11) -> (-38/31,-11/9) Hyperbolic Matrix(2107,4588,-1538,-3349) (-24/11,-37/17) -> (-37/27,-100/73) Hyperbolic Matrix(2851,6200,-1540,-3349) (-37/17,-50/23) -> (-50/27,-87/47) Hyperbolic Matrix(743,1612,-572,-1241) (-50/23,-13/6) -> (-13/10,-74/57) Hyperbolic Matrix(373,806,230,497) (-13/6,-15/7) -> (47/29,13/8) Hyperbolic Matrix(495,1054,116,247) (-15/7,-17/8) -> (17/4,47/11) Hyperbolic Matrix(557,1178,322,681) (-17/8,-2/1) -> (64/37,45/26) Hyperbolic Matrix(621,1178,262,497) (-2/1,-17/9) -> (45/19,64/27) Hyperbolic Matrix(559,1054,428,807) (-17/9,-15/8) -> (47/36,17/13) Hyperbolic Matrix(433,806,166,309) (-15/8,-13/7) -> (13/5,47/18) Hyperbolic Matrix(435,806,34,63) (-63/34,-50/27) -> (12/1,1/0) Hyperbolic Matrix(8307,15376,3818,7067) (-87/47,-124/67) -> (124/57,37/17) Hyperbolic Matrix(8309,15376,3820,7069) (-124/67,-37/20) -> (87/40,124/57) Hyperbolic Matrix(2045,3782,-1308,-2419) (-37/20,-24/13) -> (-86/55,-25/16) Hyperbolic Matrix(1613,2976,-1142,-2107) (-24/13,-35/19) -> (-89/63,-24/17) Hyperbolic Matrix(373,682,204,373) (-11/6,-31/17) -> (31/17,11/6) Hyperbolic Matrix(681,1240,374,681) (-31/17,-20/11) -> (20/11,31/17) Hyperbolic Matrix(683,1240,-580,-1053) (-20/11,-29/16) -> (-33/28,-20/17) Hyperbolic Matrix(993,1798,206,373) (-29/16,-38/21) -> (24/5,29/6) Hyperbolic Matrix(1303,2356,172,311) (-38/21,-47/26) -> (15/2,38/5) Hyperbolic Matrix(1921,3472,514,929) (-47/26,-9/5) -> (71/19,15/4) Hyperbolic Matrix(1177,2108,-866,-1551) (-9/5,-34/19) -> (-34/25,-53/39) Hyperbolic Matrix(3535,6324,1976,3535) (-34/19,-93/52) -> (93/52,34/19) Hyperbolic Matrix(6137,10974,3432,6137) (-93/52,-59/33) -> (59/33,93/52) Hyperbolic Matrix(2915,5208,2048,3659) (-84/47,-25/14) -> (37/26,84/59) Hyperbolic Matrix(2293,4092,868,1549) (-25/14,-66/37) -> (66/25,37/14) Hyperbolic Matrix(557,992,452,805) (-41/23,-16/9) -> (16/13,21/17) Hyperbolic Matrix(2169,3844,944,1673) (-39/22,-62/35) -> (62/27,23/10) Hyperbolic Matrix(2171,3844,946,1675) (-62/35,-23/13) -> (39/17,62/27) Hyperbolic Matrix(807,1426,176,311) (-23/13,-30/17) -> (32/7,23/5) Hyperbolic Matrix(247,434,70,123) (-30/17,-7/4) -> (7/2,32/9) Hyperbolic Matrix(1427,2480,-1034,-1797) (-7/4,-33/19) -> (-29/21,-69/50) Hyperbolic Matrix(18785,32612,7392,12833) (-125/72,-217/125) -> (155/61,61/24) Hyperbolic Matrix(19965,34658,7858,13641) (-217/125,-92/53) -> (94/37,155/61) Hyperbolic Matrix(4215,7316,1714,2975) (-92/53,-59/34) -> (59/24,32/13) Hyperbolic Matrix(2109,3658,644,1117) (-59/34,-26/15) -> (36/11,59/18) Hyperbolic Matrix(2791,4836,752,1303) (-26/15,-97/56) -> (89/24,26/7) Hyperbolic Matrix(931,1612,108,187) (-71/41,-45/26) -> (17/2,9/1) Hyperbolic Matrix(681,1178,322,557) (-45/26,-64/37) -> (2/1,17/8) Hyperbolic Matrix(1363,2356,932,1611) (-83/48,-19/11) -> (19/13,41/28) Hyperbolic Matrix(683,1178,396,683) (-19/11,-31/18) -> (31/18,19/11) Hyperbolic Matrix(433,744,252,433) (-31/18,-12/7) -> (12/7,31/18) Hyperbolic Matrix(4711,8060,1304,2231) (-12/7,-65/38) -> (65/18,112/31) Hyperbolic Matrix(14755,25234,-10804,-18477) (-65/38,-118/69) -> (-56/41,-183/134) Hyperbolic Matrix(2975,5084,1886,3223) (-53/31,-41/24) -> (41/26,71/45) Hyperbolic Matrix(1055,1798,328,559) (-29/17,-46/27) -> (16/5,29/9) Hyperbolic Matrix(8371,14260,4914,8371) (-46/27,-155/91) -> (155/91,46/27) Hyperbolic Matrix(19839,33790,11648,19839) (-155/91,-109/64) -> (109/64,155/91) Hyperbolic Matrix(5643,9610,1202,2047) (-109/64,-63/37) -> (61/13,47/10) Hyperbolic Matrix(1239,2108,874,1487) (-63/37,-17/10) -> (17/12,61/43) Hyperbolic Matrix(621,1054,512,869) (-17/10,-39/23) -> (23/19,17/14) Hyperbolic Matrix(2231,3782,292,495) (-39/23,-100/59) -> (38/5,23/3) Hyperbolic Matrix(6695,11346,2414,4091) (-100/59,-61/36) -> (61/22,86/31) Hyperbolic Matrix(8929,15128,-6440,-10911) (-61/36,-83/49) -> (-165/119,-61/44) Hyperbolic Matrix(1611,2728,512,867) (-83/49,-22/13) -> (22/7,41/13) Hyperbolic Matrix(807,1364,184,311) (-22/13,-27/16) -> (35/8,22/5) Hyperbolic Matrix(4155,7006,1214,2047) (-27/16,-59/35) -> (65/19,89/26) Hyperbolic Matrix(4341,7316,1840,3101) (-59/35,-32/19) -> (92/39,59/25) Hyperbolic Matrix(1179,1984,848,1427) (-32/19,-5/3) -> (57/41,32/23) Hyperbolic Matrix(187,310,38,63) (-5/3,-33/20) -> (29/6,5/1) Hyperbolic Matrix(21017,34658,8910,14693) (-94/57,-155/94) -> (217/92,92/39) Hyperbolic Matrix(19779,32612,8386,13827) (-155/94,-61/37) -> (125/53,217/92) Hyperbolic Matrix(3349,5518,1280,2109) (-61/37,-28/17) -> (34/13,123/47) Hyperbolic Matrix(1055,1736,-866,-1425) (-28/17,-23/14) -> (-39/32,-28/23) Hyperbolic Matrix(2417,3968,868,1425) (-23/14,-64/39) -> (64/23,39/14) Hyperbolic Matrix(3099,5084,982,1611) (-105/64,-41/25) -> (41/13,19/6) Hyperbolic Matrix(3101,5084,2194,3597) (-41/25,-59/36) -> (65/46,41/29) Hyperbolic Matrix(1363,2232,378,619) (-59/36,-18/11) -> (18/5,65/18) Hyperbolic Matrix(683,1116,418,683) (-18/11,-31/19) -> (31/19,18/11) Hyperbolic Matrix(495,806,304,495) (-31/19,-13/8) -> (13/8,31/19) Hyperbolic Matrix(497,806,230,373) (-13/8,-47/29) -> (15/7,13/6) Hyperbolic Matrix(1301,2108,956,1549) (-47/29,-34/21) -> (34/25,15/11) Hyperbolic Matrix(3409,5518,1340,2169) (-34/21,-123/76) -> (61/24,28/11) Hyperbolic Matrix(10727,17360,3870,6263) (-123/76,-89/55) -> (97/35,61/22) Hyperbolic Matrix(1303,2108,1112,1799) (-89/55,-55/34) -> (7/6,27/23) Hyperbolic Matrix(21389,34596,8164,13205) (-55/34,-186/115) -> (186/71,131/50) Hyperbolic Matrix(21391,34596,8166,13207) (-186/115,-131/81) -> (55/21,186/71) Hyperbolic Matrix(3721,6014,998,1613) (-97/60,-21/13) -> (41/11,97/26) Hyperbolic Matrix(1921,3100,422,681) (-21/13,-71/44) -> (9/2,41/9) Hyperbolic Matrix(10913,17608,-7992,-12895) (-71/44,-121/75) -> (-127/93,-71/52) Hyperbolic Matrix(10415,16802,7532,12151) (-121/75,-50/31) -> (112/81,65/47) Hyperbolic Matrix(9547,15376,3618,5827) (-29/18,-124/77) -> (124/47,95/36) Hyperbolic Matrix(9549,15376,3620,5829) (-124/77,-95/59) -> (29/11,124/47) Hyperbolic Matrix(2543,4092,1118,1799) (-66/41,-37/23) -> (25/11,66/29) Hyperbolic Matrix(1427,2294,502,807) (-37/23,-45/28) -> (17/6,37/13) Hyperbolic Matrix(309,496,38,61) (-45/28,-8/5) -> (8/1,17/2) Hyperbolic Matrix(2417,3844,896,1425) (-35/22,-62/39) -> (62/23,27/10) Hyperbolic Matrix(2419,3844,898,1427) (-62/39,-27/17) -> (35/13,62/23) Hyperbolic Matrix(1055,1674,196,311) (-27/17,-46/29) -> (16/3,27/5) Hyperbolic Matrix(743,1178,234,371) (-46/29,-19/12) -> (19/6,16/5) Hyperbolic Matrix(745,1178,628,993) (-19/12,-49/31) -> (13/11,19/16) Hyperbolic Matrix(1177,1860,274,433) (-49/31,-30/19) -> (30/7,13/3) Hyperbolic Matrix(1611,2542,-1258,-1985) (-30/19,-41/26) -> (-41/32,-32/25) Hyperbolic Matrix(4837,7626,3068,4837) (-41/26,-93/59) -> (93/59,41/26) Hyperbolic Matrix(6137,9672,3894,6137) (-93/59,-52/33) -> (52/33,93/59) Hyperbolic Matrix(867,1364,-710,-1117) (-63/40,-11/7) -> (-11/9,-61/50) Hyperbolic Matrix(6697,10478,1982,3101) (-36/23,-97/62) -> (27/8,98/29) Hyperbolic Matrix(11097,17360,4240,6633) (-97/62,-61/39) -> (123/47,89/34) Hyperbolic Matrix(7255,11346,2974,4651) (-61/39,-86/55) -> (100/41,61/25) Hyperbolic Matrix(2541,3968,1786,2789) (-25/16,-64/41) -> (64/45,37/26) Hyperbolic Matrix(2543,3968,994,1551) (-64/41,-39/25) -> (23/9,64/25) Hyperbolic Matrix(559,868,360,559) (-14/9,-31/20) -> (31/20,14/9) Hyperbolic Matrix(681,1054,440,681) (-31/20,-17/11) -> (17/11,31/20) Hyperbolic Matrix(1487,2294,562,867) (-17/11,-37/24) -> (37/14,45/17) Hyperbolic Matrix(2293,3534,-1650,-2543) (-37/24,-20/13) -> (-82/59,-25/18) Hyperbolic Matrix(929,1426,686,1053) (-20/13,-23/15) -> (23/17,42/31) Hyperbolic Matrix(931,1426,284,435) (-23/15,-3/2) -> (59/18,23/7) Hyperbolic Matrix(929,1364,126,185) (-25/17,-22/15) -> (22/3,37/5) Hyperbolic Matrix(1861,2728,762,1117) (-22/15,-41/28) -> (83/34,22/9) Hyperbolic Matrix(3473,5084,1356,1985) (-41/28,-19/13) -> (105/41,41/16) Hyperbolic Matrix(807,1178,298,435) (-19/13,-16/11) -> (46/17,19/7) Hyperbolic Matrix(1239,1798,512,743) (-16/11,-29/20) -> (29/12,46/19) Hyperbolic Matrix(557,806,-472,-683) (-29/20,-13/9) -> (-13/11,-33/28) Hyperbolic Matrix(2665,3844,816,1177) (-13/9,-62/43) -> (62/19,49/15) Hyperbolic Matrix(2667,3844,818,1179) (-62/43,-49/34) -> (13/4,62/19) Hyperbolic Matrix(2541,3658,1076,1549) (-36/25,-59/41) -> (59/25,26/11) Hyperbolic Matrix(991,1426,344,495) (-59/41,-23/16) -> (23/8,3/1) Hyperbolic Matrix(7255,10416,1944,2791) (-56/39,-89/62) -> (97/26,56/15) Hyperbolic Matrix(6263,8990,1858,2667) (-89/62,-33/23) -> (91/27,27/8) Hyperbolic Matrix(2293,3286,-1688,-2419) (-43/30,-10/7) -> (-72/53,-19/14) Hyperbolic Matrix(10787,15376,3218,4587) (-67/47,-124/87) -> (124/37,57/17) Hyperbolic Matrix(10789,15376,3220,4589) (-124/87,-57/40) -> (67/20,124/37) Hyperbolic Matrix(1611,2294,-1394,-1985) (-47/33,-37/26) -> (-37/32,-15/13) Hyperbolic Matrix(3225,4588,698,993) (-37/26,-64/45) -> (60/13,37/8) Hyperbolic Matrix(13951,19840,9810,13951) (-64/45,-155/109) -> (155/109,64/45) Hyperbolic Matrix(19839,28210,13952,19839) (-155/109,-91/64) -> (91/64,155/109) Hyperbolic Matrix(6323,8990,1918,2727) (-91/64,-27/19) -> (89/27,33/10) Hyperbolic Matrix(7377,10478,2662,3781) (-27/19,-98/69) -> (36/13,97/35) Hyperbolic Matrix(24365,34596,7204,10229) (-71/50,-186/131) -> (186/55,115/34) Hyperbolic Matrix(24367,34596,7206,10231) (-186/131,-115/81) -> (71/21,186/55) Hyperbolic Matrix(2665,3782,742,1053) (-44/31,-61/43) -> (61/17,18/5) Hyperbolic Matrix(1487,2108,874,1239) (-61/43,-17/12) -> (17/10,63/37) Hyperbolic Matrix(745,1054,176,249) (-17/12,-41/29) -> (21/5,17/4) Hyperbolic Matrix(3597,5084,2194,3101) (-41/29,-65/46) -> (59/36,41/25) Hyperbolic Matrix(4959,7006,2018,2851) (-65/46,-89/63) -> (27/11,59/24) Hyperbolic Matrix(1055,1488,748,1055) (-24/17,-31/22) -> (31/22,24/17) Hyperbolic Matrix(309,434,220,309) (-31/22,-7/5) -> (7/5,31/22) Hyperbolic Matrix(311,434,134,187) (-7/5,-32/23) -> (30/13,7/3) Hyperbolic Matrix(1427,1984,848,1179) (-32/23,-57/41) -> (5/3,32/19) Hyperbolic Matrix(4773,6634,-4060,-5643) (-57/41,-82/59) -> (-20/17,-67/57) Hyperbolic Matrix(2233,3100,358,497) (-25/18,-93/67) -> (31/5,25/4) Hyperbolic Matrix(1921,2666,312,433) (-93/67,-68/49) -> (6/1,31/5) Hyperbolic Matrix(15873,22010,-11714,-16243) (-104/75,-165/119) -> (-145/107,-42/31) Hyperbolic Matrix(2729,3782,806,1117) (-61/44,-18/13) -> (44/13,61/18) Hyperbolic Matrix(1613,2232,628,869) (-18/13,-65/47) -> (59/23,18/7) Hyperbolic Matrix(5829,8060,2422,3349) (-65/47,-112/81) -> (12/5,65/27) Hyperbolic Matrix(6323,8742,-5382,-7441) (-112/81,-47/34) -> (-47/40,-74/63) Hyperbolic Matrix(11843,16368,6954,9611) (-47/34,-123/89) -> (63/37,109/64) Hyperbolic Matrix(7627,10540,5878,8123) (-123/89,-76/55) -> (48/37,61/47) Hyperbolic Matrix(1303,1798,1124,1551) (-69/50,-40/29) -> (22/19,7/6) Hyperbolic Matrix(2789,3844,764,1053) (-51/37,-62/45) -> (62/17,11/3) Hyperbolic Matrix(2791,3844,766,1055) (-62/45,-11/8) -> (51/14,62/17) Hyperbolic Matrix(9053,12400,5342,7317) (-100/73,-63/46) -> (61/36,100/59) Hyperbolic Matrix(12089,16554,7470,10229) (-63/46,-89/65) -> (89/55,123/76) Hyperbolic Matrix(3533,4836,1494,2045) (-89/65,-26/19) -> (26/11,97/41) Hyperbolic Matrix(2357,3224,454,621) (-26/19,-93/68) -> (31/6,26/5) Hyperbolic Matrix(1859,2542,362,495) (-93/68,-67/49) -> (5/1,31/6) Hyperbolic Matrix(4401,6014,1678,2293) (-41/30,-97/71) -> (97/37,21/8) Hyperbolic Matrix(7625,10416,2314,3161) (-97/71,-56/41) -> (56/17,89/27) Hyperbolic Matrix(70369,96100,18840,25729) (-183/134,-310/227) -> (310/83,127/34) Hyperbolic Matrix(70371,96100,18842,25731) (-310/227,-127/93) -> (183/49,310/83) Hyperbolic Matrix(2543,3472,1136,1551) (-71/52,-15/11) -> (47/21,9/4) Hyperbolic Matrix(1549,2108,956,1301) (-15/11,-34/25) -> (34/21,47/29) Hyperbolic Matrix(45383,61504,11894,16119) (-103/76,-248/183) -> (248/65,145/38) Hyperbolic Matrix(45385,61504,11896,16121) (-248/183,-145/107) -> (103/27,248/65) Hyperbolic Matrix(1053,1426,686,929) (-42/31,-23/17) -> (23/15,20/13) Hyperbolic Matrix(2293,3100,412,557) (-23/17,-50/37) -> (50/9,39/7) Hyperbolic Matrix(1241,1674,920,1241) (-27/20,-31/23) -> (31/23,27/20) Hyperbolic Matrix(185,248,138,185) (-31/23,-4/3) -> (4/3,31/23) Hyperbolic Matrix(1365,1798,848,1117) (-4/3,-25/19) -> (37/23,66/41) Hyperbolic Matrix(805,1054,236,309) (-21/16,-17/13) -> (17/5,41/12) Hyperbolic Matrix(807,1054,428,559) (-17/13,-47/36) -> (15/8,17/9) Hyperbolic Matrix(11779,15376,2754,3595) (-47/36,-124/95) -> (124/29,77/18) Hyperbolic Matrix(11781,15376,2756,3597) (-124/95,-77/59) -> (47/11,124/29) Hyperbolic Matrix(1427,1860,524,683) (-30/23,-13/10) -> (49/18,30/11) Hyperbolic Matrix(5827,7564,1050,1363) (-74/57,-61/47) -> (61/11,50/9) Hyperbolic Matrix(2915,3782,622,807) (-61/47,-48/37) -> (14/3,61/13) Hyperbolic Matrix(7315,9486,5354,6943) (-83/64,-35/27) -> (97/71,41/30) Hyperbolic Matrix(1053,1364,430,557) (-35/27,-22/17) -> (22/9,27/11) Hyperbolic Matrix(1055,1364,816,1055) (-22/17,-31/24) -> (31/24,22/17) Hyperbolic Matrix(433,558,336,433) (-31/24,-9/7) -> (9/7,31/24) Hyperbolic Matrix(2419,3100,920,1179) (-9/7,-41/32) -> (21/8,71/27) Hyperbolic Matrix(1115,1426,484,619) (-32/25,-23/18) -> (23/10,30/13) Hyperbolic Matrix(2233,2852,1360,1737) (-23/18,-60/47) -> (64/39,23/14) Hyperbolic Matrix(3595,4588,1068,1363) (-60/47,-37/29) -> (37/11,64/19) Hyperbolic Matrix(2975,3782,682,867) (-14/11,-61/48) -> (61/14,48/11) Hyperbolic Matrix(7563,9610,3122,3967) (-61/48,-47/37) -> (109/45,63/26) Hyperbolic Matrix(929,1178,-832,-1055) (-52/41,-19/15) -> (-19/17,-10/9) Hyperbolic Matrix(3037,3844,636,805) (-19/15,-62/49) -> (62/13,43/9) Hyperbolic Matrix(3039,3844,638,807) (-62/49,-43/34) -> (19/4,62/13) Hyperbolic Matrix(1425,1798,638,805) (-24/19,-29/23) -> (29/13,38/17) Hyperbolic Matrix(247,310,98,123) (-29/23,-5/4) -> (5/2,33/13) Hyperbolic Matrix(2047,2542,550,683) (-5/4,-31/25) -> (93/25,67/18) Hyperbolic Matrix(2603,3224,700,867) (-31/25,-26/21) -> (26/7,93/25) Hyperbolic Matrix(805,992,452,557) (-21/17,-16/13) -> (16/9,41/23) Hyperbolic Matrix(1363,1674,504,619) (-16/13,-27/22) -> (27/10,46/17) Hyperbolic Matrix(2729,3348,1618,1985) (-27/22,-65/53) -> (59/35,27/16) Hyperbolic Matrix(6201,7564,1424,1737) (-61/50,-50/41) -> (74/17,61/14) Hyperbolic Matrix(2543,3100,662,807) (-50/41,-39/32) -> (23/6,50/13) Hyperbolic Matrix(3161,3844,560,681) (-45/37,-62/51) -> (62/11,17/3) Hyperbolic Matrix(3163,3844,562,683) (-62/51,-17/14) -> (45/8,62/11) Hyperbolic Matrix(869,1054,512,621) (-17/14,-23/19) -> (39/23,17/10) Hyperbolic Matrix(3287,3968,2312,2791) (-29/24,-35/29) -> (27/19,91/64) Hyperbolic Matrix(2109,2542,1544,1861) (-35/29,-6/5) -> (56/41,97/71) Hyperbolic Matrix(2233,2666,624,745) (-6/5,-31/26) -> (93/26,68/19) Hyperbolic Matrix(2603,3100,728,867) (-31/26,-25/21) -> (25/7,93/26) Hyperbolic Matrix(993,1178,628,745) (-19/16,-13/11) -> (49/31,19/12) Hyperbolic Matrix(1799,2108,1112,1303) (-27/23,-7/6) -> (55/34,89/55) Hyperbolic Matrix(373,434,214,249) (-7/6,-22/19) -> (40/23,7/4) Hyperbolic Matrix(1179,1364,376,435) (-22/19,-37/32) -> (25/8,22/7) Hyperbolic Matrix(2045,2356,914,1053) (-15/13,-38/33) -> (38/17,47/21) Hyperbolic Matrix(3287,3782,1348,1551) (-38/33,-23/20) -> (39/16,100/41) Hyperbolic Matrix(1241,1426,1080,1241) (-23/20,-31/27) -> (31/27,23/20) Hyperbolic Matrix(433,496,378,433) (-31/27,-8/7) -> (8/7,31/27) Hyperbolic Matrix(435,496,164,187) (-8/7,-17/15) -> (45/17,8/3) Hyperbolic Matrix(1425,1612,602,681) (-17/15,-9/8) -> (71/30,45/19) Hyperbolic Matrix(743,806,342,371) (-12/11,-1/1) -> (63/29,50/23) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(619,-682,226,-249) (1/1,10/9) -> (52/19,63/23) Hyperbolic Matrix(1053,-1178,278,-311) (10/9,9/8) -> (53/14,72/19) Hyperbolic Matrix(1985,-2294,1394,-1611) (15/13,22/19) -> (84/59,47/33) Hyperbolic Matrix(2851,-3348,740,-869) (27/23,47/40) -> (77/20,27/7) Hyperbolic Matrix(4959,-5828,1478,-1737) (47/40,20/17) -> (104/31,47/14) Hyperbolic Matrix(1053,-1240,580,-683) (20/17,13/11) -> (49/27,20/11) Hyperbolic Matrix(1303,-1550,364,-433) (19/16,6/5) -> (68/19,43/12) Hyperbolic Matrix(1179,-1426,358,-433) (6/5,23/19) -> (23/7,56/17) Hyperbolic Matrix(1427,-1736,254,-309) (17/14,28/23) -> (28/5,45/8) Hyperbolic Matrix(1425,-1736,866,-1055) (28/23,11/9) -> (51/31,28/17) Hyperbolic Matrix(557,-682,254,-311) (11/9,27/22) -> (35/16,11/5) Hyperbolic Matrix(1303,-1612,350,-433) (21/17,5/4) -> (67/18,41/11) Hyperbolic Matrix(1177,-1488,246,-311) (24/19,19/15) -> (43/9,24/5) Hyperbolic Matrix(1613,-2046,488,-619) (19/15,33/26) -> (33/10,43/13) Hyperbolic Matrix(2295,-2914,634,-805) (33/26,14/11) -> (76/21,29/8) Hyperbolic Matrix(681,-868,244,-311) (14/11,23/18) -> (39/14,14/5) Hyperbolic Matrix(1985,-2542,1258,-1611) (32/25,9/7) -> (71/45,30/19) Hyperbolic Matrix(5641,-7316,2152,-2791) (35/27,48/37) -> (76/29,97/37) Hyperbolic Matrix(1241,-1612,572,-743) (61/47,13/10) -> (13/6,63/29) Hyperbolic Matrix(2851,-3720,666,-869) (30/23,47/36) -> (77/18,30/7) Hyperbolic Matrix(1179,-1550,518,-681) (21/16,4/3) -> (66/29,41/18) Hyperbolic Matrix(2479,-3348,368,-497) (27/20,50/37) -> (74/11,27/4) Hyperbolic Matrix(2789,-3782,778,-1055) (42/31,19/14) -> (43/12,104/29) Hyperbolic Matrix(1551,-2108,866,-1177) (19/14,34/25) -> (34/19,43/24) Hyperbolic Matrix(8309,-11346,3450,-4711) (71/52,56/41) -> (118/49,53/22) Hyperbolic Matrix(1179,-1612,226,-309) (41/30,26/19) -> (26/5,21/4) Hyperbolic Matrix(497,-682,180,-247) (26/19,11/8) -> (11/4,36/13) Hyperbolic Matrix(1799,-2480,494,-681) (11/8,40/29) -> (40/11,51/14) Hyperbolic Matrix(1797,-2480,1034,-1427) (40/29,29/21) -> (33/19,40/23) Hyperbolic Matrix(2109,-2914,448,-619) (29/21,47/34) -> (47/10,33/7) Hyperbolic Matrix(7937,-10974,2062,-2851) (47/34,112/81) -> (50/13,77/20) Hyperbolic Matrix(2727,-3782,716,-993) (61/44,43/31) -> (19/5,61/16) Hyperbolic Matrix(1117,-1550,178,-247) (43/31,25/18) -> (25/4,19/3) Hyperbolic Matrix(2543,-3534,1650,-2293) (25/18,57/41) -> (57/37,37/24) Hyperbolic Matrix(2853,-4030,526,-743) (24/17,65/46) -> (65/12,38/7) Hyperbolic Matrix(5765,-8184,1704,-2419) (44/31,71/50) -> (115/34,44/13) Hyperbolic Matrix(6199,-8804,2620,-3721) (71/50,27/19) -> (97/41,71/30) Hyperbolic Matrix(4091,-5828,610,-869) (47/33,57/40) -> (67/10,47/7) Hyperbolic Matrix(869,-1240,260,-371) (57/40,10/7) -> (10/3,67/20) Hyperbolic Matrix(1427,-2046,302,-433) (10/7,33/23) -> (33/7,52/11) Hyperbolic Matrix(993,-1426,172,-247) (33/23,23/16) -> (23/4,29/5) Hyperbolic Matrix(1549,-2232,474,-683) (36/25,13/9) -> (49/15,36/11) Hyperbolic Matrix(1241,-1798,684,-991) (13/9,29/20) -> (29/16,49/27) Hyperbolic Matrix(1053,-1550,464,-683) (22/15,3/2) -> (59/26,84/37) Hyperbolic Matrix(4589,-7068,1368,-2107) (20/13,57/37) -> (57/17,104/31) Hyperbolic Matrix(557,-868,120,-187) (14/9,25/16) -> (37/8,14/3) Hyperbolic Matrix(435,-682,118,-185) (25/16,11/7) -> (11/3,37/10) Hyperbolic Matrix(433,-682,40,-63) (11/7,52/33) -> (10/1,11/1) Hyperbolic Matrix(311,-496,116,-185) (27/17,8/5) -> (8/3,35/13) Hyperbolic Matrix(5083,-8184,1926,-3101) (66/41,29/18) -> (95/36,66/25) Hyperbolic Matrix(1115,-1798,462,-745) (29/18,21/13) -> (41/17,29/12) Hyperbolic Matrix(4525,-7316,1036,-1675) (21/13,76/47) -> (48/11,83/19) Hyperbolic Matrix(8741,-14136,3336,-5395) (76/47,55/34) -> (131/50,76/29) Hyperbolic Matrix(4837,-7936,2040,-3347) (41/25,64/39) -> (64/27,83/35) Hyperbolic Matrix(867,-1426,76,-125) (74/45,51/31) -> (11/1,12/1) Hyperbolic Matrix(3721,-6138,1578,-2603) (61/37,33/20) -> (33/14,125/53) Hyperbolic Matrix(6697,-11346,1756,-2975) (83/49,61/36) -> (61/16,103/27) Hyperbolic Matrix(1053,-1798,400,-683) (29/17,12/7) -> (50/19,29/11) Hyperbolic Matrix(4589,-7936,1792,-3099) (19/11,64/37) -> (64/25,105/41) Hyperbolic Matrix(5083,-8804,1504,-2605) (71/41,26/15) -> (98/29,71/21) Hyperbolic Matrix(3535,-6138,1392,-2417) (92/53,33/19) -> (33/13,94/37) Hyperbolic Matrix(559,-992,244,-433) (23/13,16/9) -> (16/7,39/17) Hyperbolic Matrix(869,-1550,208,-371) (41/23,25/14) -> (25/6,21/5) Hyperbolic Matrix(867,-1550,278,-497) (25/14,59/33) -> (3/1,25/8) Hyperbolic Matrix(311,-558,34,-61) (43/24,9/5) -> (9/1,19/2) Hyperbolic Matrix(371,-682,68,-125) (11/6,24/13) -> (38/7,11/2) Hyperbolic Matrix(2481,-4588,670,-1239) (24/13,37/20) -> (37/10,100/27) Hyperbolic Matrix(3349,-6200,1540,-2851) (37/20,50/27) -> (50/23,87/40) Hyperbolic Matrix(869,-1612,200,-371) (50/27,13/7) -> (13/3,74/17) Hyperbolic Matrix(1737,-3782,626,-1363) (37/17,24/11) -> (86/31,25/9) Hyperbolic Matrix(1363,-2976,398,-869) (24/11,35/16) -> (89/26,24/7) Hyperbolic Matrix(557,-1240,84,-187) (20/9,29/13) -> (33/5,20/3) Hyperbolic Matrix(931,-2108,246,-557) (9/4,34/15) -> (34/9,53/14) Hyperbolic Matrix(1053,-2480,290,-683) (7/3,33/14) -> (29/8,69/19) Hyperbolic Matrix(10479,-25234,2806,-6757) (65/27,118/49) -> (56/15,183/49) Hyperbolic Matrix(6199,-15128,1728,-4217) (61/25,83/34) -> (165/46,61/17) Hyperbolic Matrix(681,-1736,122,-311) (28/11,23/9) -> (39/7,28/5) Hyperbolic Matrix(6695,-17608,1792,-4713) (71/27,121/46) -> (127/34,71/19) Hyperbolic Matrix(931,-2542,204,-557) (30/11,41/15) -> (41/9,32/7) Hyperbolic Matrix(497,-1364,90,-247) (63/23,11/4) -> (11/2,61/11) Hyperbolic Matrix(1241,-3534,348,-991) (37/13,20/7) -> (82/23,25/7) Hyperbolic Matrix(249,-806,38,-123) (29/9,13/4) -> (13/2,33/5) Hyperbolic Matrix(993,-3286,262,-867) (43/13,10/3) -> (72/19,19/5) Hyperbolic Matrix(683,-2294,92,-309) (47/14,37/11) -> (37/5,15/2) Hyperbolic Matrix(1861,-6634,278,-991) (57/16,82/23) -> (20/3,67/10) Hyperbolic Matrix(6137,-22010,1608,-5767) (104/29,165/46) -> (145/38,42/11) Hyperbolic Matrix(2419,-8742,360,-1301) (112/31,47/13) -> (47/7,74/11) Hyperbolic Matrix(249,-1178,26,-123) (52/11,19/4) -> (19/2,10/1) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(63,682,-40,-433) -> Matrix(3,4,-4,-5) Matrix(125,1178,-92,-867) -> Matrix(1,0,-4,1) Matrix(187,1612,108,931) -> Matrix(5,-2,8,-3) Matrix(61,496,38,309) -> Matrix(1,-4,2,-7) Matrix(63,496,8,63) -> Matrix(1,-10,0,1) Matrix(185,1426,24,185) -> Matrix(1,36,0,1) Matrix(495,3782,292,2231) -> Matrix(1,14,0,1) Matrix(311,2356,172,1303) -> Matrix(3,26,4,35) Matrix(309,2294,-92,-683) -> Matrix(1,4,0,1) Matrix(247,1798,68,495) -> Matrix(7,26,4,15) Matrix(309,2108,118,805) -> Matrix(1,2,-2,-3) Matrix(497,3348,-368,-2479) -> Matrix(1,2,-8,-15) Matrix(869,5828,-610,-4091) -> Matrix(5,6,-6,-7) Matrix(187,1240,-84,-557) -> Matrix(1,2,0,1) Matrix(185,1178,68,433) -> Matrix(1,2,0,1) Matrix(247,1550,-178,-1117) -> Matrix(3,4,-10,-13) Matrix(247,1426,-172,-993) -> Matrix(1,0,0,1) Matrix(185,1054,76,433) -> Matrix(1,2,0,1) Matrix(309,1736,-254,-1427) -> Matrix(1,0,-6,1) Matrix(311,1736,-122,-681) -> Matrix(5,-2,-2,1) Matrix(125,682,-68,-371) -> Matrix(1,-2,0,1) Matrix(311,1674,196,1055) -> Matrix(3,-4,4,-5) Matrix(187,992,82,435) -> Matrix(1,-4,2,-7) Matrix(309,1612,-226,-1179) -> Matrix(1,-10,-2,21) Matrix(63,310,38,187) -> Matrix(1,2,2,5) Matrix(373,1798,206,993) -> Matrix(5,14,6,17) Matrix(311,1488,-246,-1177) -> Matrix(1,2,2,5) Matrix(433,2046,-302,-1427) -> Matrix(1,2,-2,-3) Matrix(619,2914,-448,-2109) -> Matrix(1,2,-4,-7) Matrix(187,868,-120,-557) -> Matrix(7,10,-12,-17) Matrix(311,1426,176,807) -> Matrix(3,2,4,3) Matrix(557,2542,-204,-931) -> Matrix(1,0,0,1) Matrix(125,558,28,125) -> Matrix(5,6,4,5) Matrix(309,1364,70,309) -> Matrix(9,8,10,9) Matrix(311,1364,184,807) -> Matrix(3,2,4,3) Matrix(1675,7316,-1036,-4525) -> Matrix(1,0,0,1) Matrix(2417,10540,668,2913) -> Matrix(37,20,24,13) Matrix(371,1612,-200,-869) -> Matrix(1,0,0,1) Matrix(433,1860,274,1177) -> Matrix(1,0,2,1) Matrix(869,3720,-666,-2851) -> Matrix(5,6,-6,-7) Matrix(247,1054,116,495) -> Matrix(3,2,4,3) Matrix(249,1054,176,745) -> Matrix(7,4,12,7) Matrix(371,1550,-208,-869) -> Matrix(1,0,0,1) Matrix(63,248,16,63) -> Matrix(1,-2,0,1) Matrix(433,1674,112,433) -> Matrix(1,28,0,1) Matrix(869,3348,-740,-2851) -> Matrix(1,12,-4,-47) Matrix(743,2852,452,1735) -> Matrix(1,8,0,1) Matrix(373,1426,130,497) -> Matrix(3,16,2,11) Matrix(993,3782,-716,-2727) -> Matrix(1,6,-4,-23) Matrix(557,2108,-246,-931) -> Matrix(1,4,-2,-7) Matrix(559,2108,214,807) -> Matrix(1,4,-2,-7) Matrix(929,3472,514,1921) -> Matrix(7,16,10,23) Matrix(3037,11346,-1776,-6635) -> Matrix(1,2,0,1) Matrix(681,2542,116,433) -> Matrix(1,2,4,9) Matrix(2543,9486,582,2171) -> Matrix(7,16,10,23) Matrix(433,1612,-350,-1303) -> Matrix(1,2,6,13) Matrix(185,682,-118,-435) -> Matrix(1,4,-2,-7) Matrix(681,2480,-494,-1799) -> Matrix(1,2,-10,-19) Matrix(683,2480,-290,-1053) -> Matrix(7,12,-10,-17) Matrix(805,2914,-634,-2295) -> Matrix(5,8,-22,-35) Matrix(3037,10974,-2248,-8123) -> Matrix(3,4,-16,-21) Matrix(4651,16802,1768,6387) -> Matrix(3,4,-4,-5) Matrix(619,2232,378,1363) -> Matrix(3,4,2,3) Matrix(1053,3782,742,2665) -> Matrix(1,0,2,1) Matrix(1055,3782,-778,-2789) -> Matrix(1,2,-6,-11) Matrix(433,1550,-364,-1303) -> Matrix(5,8,-12,-19) Matrix(991,3534,-348,-1241) -> Matrix(1,0,0,1) Matrix(557,1984,226,805) -> Matrix(3,4,2,3) Matrix(123,434,70,247) -> Matrix(1,0,2,1) Matrix(125,434,36,125) -> Matrix(5,6,4,5) Matrix(433,1488,126,433) -> Matrix(13,12,14,13) Matrix(1177,4030,-960,-3287) -> Matrix(5,4,-4,-3) Matrix(1487,5084,580,1983) -> Matrix(11,8,4,3) Matrix(309,1054,236,805) -> Matrix(3,2,4,3) Matrix(621,2108,256,869) -> Matrix(13,8,8,5) Matrix(1117,3782,806,2729) -> Matrix(1,0,6,1) Matrix(2419,8184,-1704,-5765) -> Matrix(5,2,-8,-3) Matrix(2605,8804,-1504,-5083) -> Matrix(5,2,-8,-3) Matrix(1177,3968,202,681) -> Matrix(1,0,2,1) Matrix(8371,28210,2484,8371) -> Matrix(1,0,0,1) Matrix(5889,19840,1748,5889) -> Matrix(1,2,0,1) Matrix(1179,3968,424,1427) -> Matrix(3,2,4,3) Matrix(1549,5208,682,2293) -> Matrix(1,0,2,1) Matrix(1737,5828,-1478,-4959) -> Matrix(3,4,-10,-13) Matrix(371,1240,-260,-869) -> Matrix(1,0,0,1) Matrix(619,2046,-488,-1613) -> Matrix(1,0,-4,1) Matrix(433,1426,-358,-1179) -> Matrix(3,2,-2,-1) Matrix(435,1426,284,931) -> Matrix(1,0,4,1) Matrix(1117,3658,644,2109) -> Matrix(3,2,4,3) Matrix(683,2232,-474,-1549) -> Matrix(1,0,2,1) Matrix(557,1798,-250,-807) -> Matrix(1,0,2,1) Matrix(559,1798,328,1055) -> Matrix(1,0,4,1) Matrix(371,1178,234,743) -> Matrix(1,-2,2,-3) Matrix(745,2356,314,993) -> Matrix(5,-6,6,-7) Matrix(867,2728,512,1611) -> Matrix(1,0,0,1) Matrix(497,1550,-278,-867) -> Matrix(1,-4,-2,9) Matrix(495,1426,344,991) -> Matrix(1,2,0,1) Matrix(497,1426,130,373) -> Matrix(11,16,2,3) Matrix(2479,7068,-1740,-4961) -> Matrix(7,8,-8,-9) Matrix(807,2294,502,1427) -> Matrix(11,14,18,23) Matrix(373,1054,132,373) -> Matrix(13,14,12,13) Matrix(309,868,110,309) -> Matrix(9,8,10,9) Matrix(311,868,-244,-681) -> Matrix(3,2,-8,-5) Matrix(247,682,-180,-497) -> Matrix(1,0,0,1) Matrix(249,682,-226,-619) -> Matrix(1,0,-2,1) Matrix(3535,9672,1292,3535) -> Matrix(1,-2,0,1) Matrix(2789,7626,1020,2789) -> Matrix(1,4,0,1) Matrix(1861,5084,772,2109) -> Matrix(5,6,4,5) Matrix(683,1860,524,1427) -> Matrix(3,2,4,3) Matrix(433,1178,68,185) -> Matrix(1,2,0,1) Matrix(435,1178,298,807) -> Matrix(1,0,2,1) Matrix(619,1674,504,1363) -> Matrix(1,2,0,1) Matrix(185,496,-116,-311) -> Matrix(1,0,0,1) Matrix(187,496,164,435) -> Matrix(1,0,0,1) Matrix(867,2294,562,1487) -> Matrix(1,2,2,5) Matrix(681,1798,164,433) -> Matrix(1,0,4,1) Matrix(3101,8184,-1926,-5083) -> Matrix(17,2,-26,-3) Matrix(683,1798,-400,-1053) -> Matrix(1,0,-4,1) Matrix(2791,7316,-2152,-5641) -> Matrix(5,2,-8,-3) Matrix(5395,14136,-3336,-8741) -> Matrix(5,2,-8,-3) Matrix(805,2108,118,309) -> Matrix(3,-2,2,-1) Matrix(6325,16554,1706,4465) -> Matrix(3,-2,2,-1) Matrix(2109,5518,1280,3349) -> Matrix(1,0,0,1) Matrix(807,2108,214,559) -> Matrix(7,-4,2,-1) Matrix(309,806,166,433) -> Matrix(1,-2,2,-3) Matrix(311,806,120,311) -> Matrix(1,-4,0,1) Matrix(433,1116,168,433) -> Matrix(1,10,0,1) Matrix(869,2232,628,1613) -> Matrix(1,4,4,17) Matrix(1983,5084,580,1487) -> Matrix(3,8,4,11) Matrix(3099,7936,-1792,-4589) -> Matrix(7,24,-12,-41) Matrix(1115,2852,242,619) -> Matrix(3,10,2,7) Matrix(1117,2852,826,2109) -> Matrix(1,2,6,13) Matrix(559,1426,-510,-1301) -> Matrix(1,2,-2,-3) Matrix(2169,5518,1340,3409) -> Matrix(3,8,4,11) Matrix(2417,6138,-1392,-3535) -> Matrix(5,12,-8,-19) Matrix(123,310,98,247) -> Matrix(1,2,2,5) Matrix(805,1984,226,557) -> Matrix(3,4,2,3) Matrix(2975,7316,1714,4215) -> Matrix(1,-2,2,-3) Matrix(1363,3348,252,619) -> Matrix(1,0,0,1) Matrix(557,1364,430,1053) -> Matrix(1,-2,2,-3) Matrix(1117,2728,762,1861) -> Matrix(1,2,2,5) Matrix(4649,11346,-3430,-8371) -> Matrix(1,2,-2,-3) Matrix(5083,12400,1372,3347) -> Matrix(1,4,0,1) Matrix(1551,3782,1348,3287) -> Matrix(1,2,12,25) Matrix(433,1054,76,185) -> Matrix(1,2,0,1) Matrix(869,2108,256,621) -> Matrix(5,8,8,13) Matrix(6757,16368,1868,4525) -> Matrix(79,120,52,79) Matrix(13951,33790,5760,13951) -> Matrix(223,336,148,223) Matrix(5889,14260,2432,5889) -> Matrix(101,150,68,101) Matrix(743,1798,512,1239) -> Matrix(7,10,16,23) Matrix(745,1798,-462,-1115) -> Matrix(5,6,-6,-7) Matrix(311,744,130,311) -> Matrix(11,12,10,11) Matrix(495,1178,208,495) -> Matrix(15,14,16,15) Matrix(3347,7936,-2040,-4837) -> Matrix(5,4,-4,-3) Matrix(497,1178,262,621) -> Matrix(5,4,6,5) Matrix(681,1612,602,1425) -> Matrix(5,4,6,5) Matrix(3721,8804,-2620,-6199) -> Matrix(23,18,-32,-25) Matrix(1549,3658,1076,2541) -> Matrix(3,2,4,3) Matrix(3101,7316,1840,4341) -> Matrix(3,2,4,3) Matrix(2603,6138,-1578,-3721) -> Matrix(3,2,-2,-1) Matrix(185,434,26,61) -> Matrix(5,2,2,1) Matrix(187,434,134,311) -> Matrix(1,2,2,5) Matrix(619,1426,484,1115) -> Matrix(3,4,8,11) Matrix(433,992,-244,-559) -> Matrix(5,4,-4,-3) Matrix(435,992,82,187) -> Matrix(7,4,-2,-1) Matrix(681,1550,-518,-1179) -> Matrix(1,0,2,1) Matrix(683,1550,-464,-1053) -> Matrix(1,0,0,1) Matrix(4837,10974,2132,4837) -> Matrix(1,0,4,1) Matrix(2789,6324,1230,2789) -> Matrix(1,0,2,1) Matrix(247,558,-220,-497) -> Matrix(1,0,0,1) Matrix(1551,3472,1136,2543) -> Matrix(5,2,12,5) Matrix(1053,2356,914,2045) -> Matrix(1,0,10,1) Matrix(805,1798,638,1425) -> Matrix(1,0,2,1) Matrix(559,1240,252,559) -> Matrix(1,-2,0,1) Matrix(309,682,140,309) -> Matrix(1,4,0,1) Matrix(311,682,-254,-557) -> Matrix(1,2,-2,-3) Matrix(2107,4588,-1538,-3349) -> Matrix(1,4,-2,-7) Matrix(2851,6200,-1540,-3349) -> Matrix(1,2,-4,-7) Matrix(743,1612,-572,-1241) -> Matrix(3,4,-4,-5) Matrix(373,806,230,497) -> Matrix(1,0,2,1) Matrix(495,1054,116,247) -> Matrix(3,2,4,3) Matrix(557,1178,322,681) -> Matrix(1,-2,2,-3) Matrix(621,1178,262,497) -> Matrix(5,4,6,5) Matrix(559,1054,428,807) -> Matrix(1,2,0,1) Matrix(433,806,166,309) -> Matrix(3,2,-2,-1) Matrix(435,806,34,63) -> Matrix(5,2,2,1) Matrix(8307,15376,3818,7067) -> Matrix(13,2,6,1) Matrix(8309,15376,3820,7069) -> Matrix(7,-2,4,-1) Matrix(2045,3782,-1308,-2419) -> Matrix(5,2,-8,-3) Matrix(1613,2976,-1142,-2107) -> Matrix(1,6,-2,-11) Matrix(373,682,204,373) -> Matrix(5,6,4,5) Matrix(681,1240,374,681) -> Matrix(17,16,18,17) Matrix(683,1240,-580,-1053) -> Matrix(7,6,-20,-17) Matrix(993,1798,206,373) -> Matrix(17,14,6,5) Matrix(1303,2356,172,311) -> Matrix(35,26,4,3) Matrix(1921,3472,514,929) -> Matrix(23,16,10,7) Matrix(1177,2108,-866,-1551) -> Matrix(3,2,-14,-9) Matrix(3535,6324,1976,3535) -> Matrix(19,10,36,19) Matrix(6137,10974,3432,6137) -> Matrix(25,12,52,25) Matrix(2915,5208,2048,3659) -> Matrix(1,0,4,1) Matrix(2293,4092,868,1549) -> Matrix(1,0,4,1) Matrix(557,992,452,805) -> Matrix(1,0,0,1) Matrix(2169,3844,944,1673) -> Matrix(17,18,16,17) Matrix(2171,3844,946,1675) -> Matrix(21,20,22,21) Matrix(807,1426,176,311) -> Matrix(3,2,4,3) Matrix(247,434,70,123) -> Matrix(1,0,2,1) Matrix(1427,2480,-1034,-1797) -> Matrix(3,2,-14,-9) Matrix(18785,32612,7392,12833) -> Matrix(29,18,8,5) Matrix(19965,34658,7858,13641) -> Matrix(1,0,2,1) Matrix(4215,7316,1714,2975) -> Matrix(3,2,-2,-1) Matrix(2109,3658,644,1117) -> Matrix(3,2,4,3) Matrix(2791,4836,752,1303) -> Matrix(13,8,8,5) Matrix(931,1612,108,187) -> Matrix(3,2,-8,-5) Matrix(681,1178,322,557) -> Matrix(3,2,-2,-1) Matrix(1363,2356,932,1611) -> Matrix(7,4,12,7) Matrix(683,1178,396,683) -> Matrix(15,8,28,15) Matrix(433,744,252,433) -> Matrix(5,2,12,5) Matrix(4711,8060,1304,2231) -> Matrix(11,4,8,3) Matrix(14755,25234,-10804,-18477) -> Matrix(3,2,-8,-5) Matrix(2975,5084,1886,3223) -> Matrix(7,2,10,3) Matrix(1055,1798,328,559) -> Matrix(1,0,4,1) Matrix(8371,14260,4914,8371) -> Matrix(1,0,18,1) Matrix(19839,33790,11648,19839) -> Matrix(1,0,-32,1) Matrix(5643,9610,1202,2047) -> Matrix(19,-2,10,-1) Matrix(1239,2108,874,1487) -> Matrix(1,-2,2,-3) Matrix(621,1054,512,869) -> Matrix(1,0,0,1) Matrix(2231,3782,292,495) -> Matrix(1,14,0,1) Matrix(6695,11346,2414,4091) -> Matrix(1,0,2,1) Matrix(8929,15128,-6440,-10911) -> Matrix(1,4,-4,-15) Matrix(1611,2728,512,867) -> Matrix(1,0,0,1) Matrix(807,1364,184,311) -> Matrix(3,2,4,3) Matrix(4155,7006,1214,2047) -> Matrix(5,4,6,5) Matrix(4341,7316,1840,3101) -> Matrix(3,2,4,3) Matrix(1179,1984,848,1427) -> Matrix(1,0,4,1) Matrix(187,310,38,63) -> Matrix(5,2,2,1) Matrix(21017,34658,8910,14693) -> Matrix(5,4,6,5) Matrix(19779,32612,8386,13827) -> Matrix(7,2,10,3) Matrix(3349,5518,1280,2109) -> Matrix(1,0,0,1) Matrix(1055,1736,-866,-1425) -> Matrix(1,0,-2,1) Matrix(2417,3968,868,1425) -> Matrix(3,2,4,3) Matrix(3099,5084,982,1611) -> Matrix(3,2,-2,-1) Matrix(3101,5084,2194,3597) -> Matrix(1,-4,2,-7) Matrix(1363,2232,378,619) -> Matrix(3,4,2,3) Matrix(683,1116,418,683) -> Matrix(3,4,2,3) Matrix(495,806,304,495) -> Matrix(7,6,8,7) Matrix(497,806,230,373) -> Matrix(1,0,2,1) Matrix(1301,2108,956,1549) -> Matrix(5,4,16,13) Matrix(3409,5518,1340,2169) -> Matrix(11,8,4,3) Matrix(10727,17360,3870,6263) -> Matrix(5,4,6,5) Matrix(1303,2108,1112,1799) -> Matrix(3,2,16,11) Matrix(21389,34596,8164,13205) -> Matrix(3,2,28,19) Matrix(21391,34596,8166,13207) -> Matrix(3,2,-26,-17) Matrix(3721,6014,998,1613) -> Matrix(23,16,10,7) Matrix(1921,3100,422,681) -> Matrix(1,0,2,1) Matrix(10913,17608,-7992,-12895) -> Matrix(7,4,-16,-9) Matrix(10415,16802,7532,12151) -> Matrix(3,2,16,11) Matrix(9547,15376,3618,5827) -> Matrix(3,2,46,31) Matrix(9549,15376,3620,5829) -> Matrix(3,2,-44,-29) Matrix(2543,4092,1118,1799) -> Matrix(3,2,-2,-1) Matrix(1427,2294,502,807) -> Matrix(23,14,18,11) Matrix(309,496,38,61) -> Matrix(7,4,-2,-1) Matrix(2417,3844,896,1425) -> Matrix(5,6,4,5) Matrix(2419,3844,898,1427) -> Matrix(9,8,10,9) Matrix(1055,1674,196,311) -> Matrix(5,4,-4,-3) Matrix(743,1178,234,371) -> Matrix(3,2,-2,-1) Matrix(745,1178,628,993) -> Matrix(1,0,4,1) Matrix(1177,1860,274,433) -> Matrix(1,0,2,1) Matrix(1611,2542,-1258,-1985) -> Matrix(5,4,-14,-11) Matrix(4837,7626,3068,4837) -> Matrix(3,2,4,3) Matrix(6137,9672,3894,6137) -> Matrix(9,8,10,9) Matrix(867,1364,-710,-1117) -> Matrix(3,2,-2,-1) Matrix(6697,10478,1982,3101) -> Matrix(3,2,-2,-1) Matrix(11097,17360,4240,6633) -> Matrix(3,2,-8,-5) Matrix(7255,11346,2974,4651) -> Matrix(1,0,2,1) Matrix(2541,3968,1786,2789) -> Matrix(3,2,-2,-1) Matrix(2543,3968,994,1551) -> Matrix(1,0,2,1) Matrix(559,868,360,559) -> Matrix(19,10,36,19) Matrix(681,1054,440,681) -> Matrix(17,8,36,17) Matrix(1487,2294,562,867) -> Matrix(5,2,2,1) Matrix(2293,3534,-1650,-2543) -> Matrix(5,2,-18,-7) Matrix(929,1426,686,1053) -> Matrix(1,0,6,1) Matrix(931,1426,284,435) -> Matrix(1,0,4,1) Matrix(929,1364,126,185) -> Matrix(9,4,2,1) Matrix(1861,2728,762,1117) -> Matrix(5,2,2,1) Matrix(3473,5084,1356,1985) -> Matrix(1,4,0,1) Matrix(807,1178,298,435) -> Matrix(1,0,2,1) Matrix(1239,1798,512,743) -> Matrix(23,10,16,7) Matrix(557,806,-472,-683) -> Matrix(1,0,0,1) Matrix(2665,3844,816,1177) -> Matrix(1,0,8,1) Matrix(2667,3844,818,1179) -> Matrix(1,0,-2,1) Matrix(2541,3658,1076,1549) -> Matrix(3,2,4,3) Matrix(991,1426,344,495) -> Matrix(1,2,0,1) Matrix(7255,10416,1944,2791) -> Matrix(9,2,4,1) Matrix(6263,8990,1858,2667) -> Matrix(1,0,2,1) Matrix(2293,3286,-1688,-2419) -> Matrix(1,0,-4,1) Matrix(10787,15376,3218,4587) -> Matrix(11,12,10,11) Matrix(10789,15376,3220,4589) -> Matrix(15,14,16,15) Matrix(1611,2294,-1394,-1985) -> Matrix(3,2,-14,-9) Matrix(3225,4588,698,993) -> Matrix(3,4,2,3) Matrix(13951,19840,9810,13951) -> Matrix(7,8,6,7) Matrix(19839,28210,13952,19839) -> Matrix(23,22,24,23) Matrix(6323,8990,1918,2727) -> Matrix(9,8,10,9) Matrix(7377,10478,2662,3781) -> Matrix(5,4,6,5) Matrix(24365,34596,7204,10229) -> Matrix(3,2,28,19) Matrix(24367,34596,7206,10231) -> Matrix(3,2,-14,-9) Matrix(2665,3782,742,1053) -> Matrix(1,0,2,1) Matrix(1487,2108,874,1239) -> Matrix(3,2,-2,-1) Matrix(745,1054,176,249) -> Matrix(7,4,12,7) Matrix(3597,5084,2194,3101) -> Matrix(7,4,-2,-1) Matrix(4959,7006,2018,2851) -> Matrix(7,4,-2,-1) Matrix(1055,1488,748,1055) -> Matrix(27,14,52,27) Matrix(309,434,220,309) -> Matrix(9,4,20,9) Matrix(311,434,134,187) -> Matrix(5,2,2,1) Matrix(1427,1984,848,1179) -> Matrix(1,0,4,1) Matrix(4773,6634,-4060,-5643) -> Matrix(1,0,0,1) Matrix(2233,3100,358,497) -> Matrix(17,6,14,5) Matrix(1921,2666,312,433) -> Matrix(13,4,16,5) Matrix(15873,22010,-11714,-16243) -> Matrix(7,2,-18,-5) Matrix(2729,3782,806,1117) -> Matrix(1,0,6,1) Matrix(1613,2232,628,869) -> Matrix(17,4,4,1) Matrix(5829,8060,2422,3349) -> Matrix(19,4,14,3) Matrix(6323,8742,-5382,-7441) -> Matrix(13,2,-46,-7) Matrix(11843,16368,6954,9611) -> Matrix(1,0,-6,1) Matrix(7627,10540,5878,8123) -> Matrix(1,-2,2,-3) Matrix(1303,1798,1124,1551) -> Matrix(1,0,8,1) Matrix(2789,3844,764,1053) -> Matrix(25,2,12,1) Matrix(2791,3844,766,1055) -> Matrix(19,-2,10,-1) Matrix(9053,12400,5342,7317) -> Matrix(1,0,2,1) Matrix(12089,16554,7470,10229) -> Matrix(5,4,6,5) Matrix(3533,4836,1494,2045) -> Matrix(17,10,22,13) Matrix(2357,3224,454,621) -> Matrix(39,20,-2,-1) Matrix(1859,2542,362,495) -> Matrix(37,18,2,1) Matrix(4401,6014,1678,2293) -> Matrix(9,4,2,1) Matrix(7625,10416,2314,3161) -> Matrix(19,8,26,11) Matrix(70369,96100,18840,25729) -> Matrix(49,22,20,9) Matrix(70371,96100,18842,25731) -> Matrix(49,20,22,9) Matrix(2543,3472,1136,1551) -> Matrix(5,2,12,5) Matrix(1549,2108,956,1301) -> Matrix(13,4,16,5) Matrix(45383,61504,11894,16119) -> Matrix(25,4,6,1) Matrix(45385,61504,11896,16121) -> Matrix(1,4,0,1) Matrix(1053,1426,686,929) -> Matrix(1,0,6,1) Matrix(2293,3100,412,557) -> Matrix(1,0,4,1) Matrix(1241,1674,920,1241) -> Matrix(1,0,16,1) Matrix(185,248,138,185) -> Matrix(1,0,2,1) Matrix(1365,1798,848,1117) -> Matrix(5,-2,8,-3) Matrix(805,1054,236,309) -> Matrix(3,2,4,3) Matrix(807,1054,428,559) -> Matrix(1,2,0,1) Matrix(11779,15376,2754,3595) -> Matrix(23,24,22,23) Matrix(11781,15376,2756,3597) -> Matrix(27,26,28,27) Matrix(1427,1860,524,683) -> Matrix(3,2,4,3) Matrix(5827,7564,1050,1363) -> Matrix(3,2,-2,-1) Matrix(2915,3782,622,807) -> Matrix(25,16,14,9) Matrix(7315,9486,5354,6943) -> Matrix(29,18,66,41) Matrix(1053,1364,430,557) -> Matrix(3,2,-2,-1) Matrix(1055,1364,816,1055) -> Matrix(19,10,36,19) Matrix(433,558,336,433) -> Matrix(9,4,20,9) Matrix(2419,3100,920,1179) -> Matrix(5,2,-8,-3) Matrix(1115,1426,484,619) -> Matrix(11,4,8,3) Matrix(2233,2852,1360,1737) -> Matrix(1,0,4,1) Matrix(3595,4588,1068,1363) -> Matrix(1,0,4,1) Matrix(2975,3782,682,867) -> Matrix(15,4,26,7) Matrix(7563,9610,3122,3967) -> Matrix(125,32,82,21) Matrix(929,1178,-832,-1055) -> Matrix(1,0,4,1) Matrix(3037,3844,636,805) -> Matrix(33,2,16,1) Matrix(3039,3844,638,807) -> Matrix(19,-2,10,-1) Matrix(1425,1798,638,805) -> Matrix(1,0,2,1) Matrix(247,310,98,123) -> Matrix(5,2,2,1) Matrix(2047,2542,550,683) -> Matrix(29,2,14,1) Matrix(2603,3224,700,867) -> Matrix(23,-2,12,-1) Matrix(805,992,452,557) -> Matrix(1,0,0,1) Matrix(1363,1674,504,619) -> Matrix(1,2,0,1) Matrix(2729,3348,1618,1985) -> Matrix(1,0,2,1) Matrix(6201,7564,1424,1737) -> Matrix(1,0,4,1) Matrix(2543,3100,662,807) -> Matrix(17,8,2,1) Matrix(3161,3844,560,681) -> Matrix(1,0,12,1) Matrix(3163,3844,562,683) -> Matrix(1,0,-10,1) Matrix(869,1054,512,621) -> Matrix(1,0,0,1) Matrix(3287,3968,2312,2791) -> Matrix(7,6,8,7) Matrix(2109,2542,1544,1861) -> Matrix(5,2,12,5) Matrix(2233,2666,624,745) -> Matrix(25,14,16,9) Matrix(2603,3100,728,867) -> Matrix(35,16,24,11) Matrix(993,1178,628,745) -> Matrix(1,0,4,1) Matrix(1799,2108,1112,1303) -> Matrix(11,2,16,3) Matrix(373,434,214,249) -> Matrix(7,2,10,3) Matrix(1179,1364,376,435) -> Matrix(7,2,-4,-1) Matrix(2045,2356,914,1053) -> Matrix(1,0,10,1) Matrix(3287,3782,1348,1551) -> Matrix(25,2,12,1) Matrix(1241,1426,1080,1241) -> Matrix(1,0,32,1) Matrix(433,496,378,433) -> Matrix(1,0,-6,1) Matrix(435,496,164,187) -> Matrix(1,0,0,1) Matrix(1425,1612,602,681) -> Matrix(5,4,6,5) Matrix(743,806,342,371) -> Matrix(5,2,2,1) Matrix(1,0,2,1) -> Matrix(1,0,2,1) Matrix(619,-682,226,-249) -> Matrix(1,0,-2,1) Matrix(1053,-1178,278,-311) -> Matrix(7,-4,2,-1) Matrix(1985,-2294,1394,-1611) -> Matrix(9,-2,14,-3) Matrix(2851,-3348,740,-869) -> Matrix(47,-12,4,-1) Matrix(4959,-5828,1478,-1737) -> Matrix(13,-4,10,-3) Matrix(1053,-1240,580,-683) -> Matrix(17,-6,20,-7) Matrix(1303,-1550,364,-433) -> Matrix(19,-8,12,-5) Matrix(1179,-1426,358,-433) -> Matrix(1,-2,2,-3) Matrix(1427,-1736,254,-309) -> Matrix(1,0,-6,1) Matrix(1425,-1736,866,-1055) -> Matrix(1,0,-2,1) Matrix(557,-682,254,-311) -> Matrix(3,-2,2,-1) Matrix(1303,-1612,350,-433) -> Matrix(13,2,6,1) Matrix(1177,-1488,246,-311) -> Matrix(5,2,2,1) Matrix(1613,-2046,488,-619) -> Matrix(1,0,-4,1) Matrix(2295,-2914,634,-805) -> Matrix(35,-8,22,-5) Matrix(681,-868,244,-311) -> Matrix(5,-2,8,-3) Matrix(1985,-2542,1258,-1611) -> Matrix(11,-4,14,-5) Matrix(5641,-7316,2152,-2791) -> Matrix(3,-2,8,-5) Matrix(1241,-1612,572,-743) -> Matrix(5,-4,4,-3) Matrix(2851,-3720,666,-869) -> Matrix(7,-6,6,-5) Matrix(1179,-1550,518,-681) -> Matrix(1,0,2,1) Matrix(2479,-3348,368,-497) -> Matrix(15,-2,8,-1) Matrix(2789,-3782,778,-1055) -> Matrix(11,-2,6,-1) Matrix(1551,-2108,866,-1177) -> Matrix(9,-2,14,-3) Matrix(8309,-11346,3450,-4711) -> Matrix(33,-14,26,-11) Matrix(1179,-1612,226,-309) -> Matrix(21,-10,-2,1) Matrix(497,-682,180,-247) -> Matrix(1,0,0,1) Matrix(1799,-2480,494,-681) -> Matrix(19,-2,10,-1) Matrix(1797,-2480,1034,-1427) -> Matrix(9,-2,14,-3) Matrix(2109,-2914,448,-619) -> Matrix(7,-2,4,-1) Matrix(7937,-10974,2062,-2851) -> Matrix(59,-10,6,-1) Matrix(2727,-3782,716,-993) -> Matrix(23,-6,4,-1) Matrix(1117,-1550,178,-247) -> Matrix(13,-4,10,-3) Matrix(2543,-3534,1650,-2293) -> Matrix(7,-2,18,-5) Matrix(2853,-4030,526,-743) -> Matrix(7,-4,2,-1) Matrix(5765,-8184,1704,-2419) -> Matrix(3,-2,8,-5) Matrix(6199,-8804,2620,-3721) -> Matrix(25,-18,32,-23) Matrix(4091,-5828,610,-869) -> Matrix(7,-6,6,-5) Matrix(869,-1240,260,-371) -> Matrix(1,0,0,1) Matrix(1427,-2046,302,-433) -> Matrix(3,-2,2,-1) Matrix(993,-1426,172,-247) -> Matrix(1,0,0,1) Matrix(1549,-2232,474,-683) -> Matrix(1,0,2,1) Matrix(1241,-1798,684,-991) -> Matrix(17,-6,20,-7) Matrix(1053,-1550,464,-683) -> Matrix(1,0,0,1) Matrix(4589,-7068,1368,-2107) -> Matrix(7,-2,4,-1) Matrix(557,-868,120,-187) -> Matrix(17,-10,12,-7) Matrix(435,-682,118,-185) -> Matrix(7,-4,2,-1) Matrix(433,-682,40,-63) -> Matrix(5,-4,4,-3) Matrix(311,-496,116,-185) -> Matrix(1,0,0,1) Matrix(5083,-8184,1926,-3101) -> Matrix(3,-2,26,-17) Matrix(1115,-1798,462,-745) -> Matrix(7,-6,6,-5) Matrix(4525,-7316,1036,-1675) -> Matrix(1,0,0,1) Matrix(8741,-14136,3336,-5395) -> Matrix(3,-2,8,-5) Matrix(4837,-7936,2040,-3347) -> Matrix(3,-4,4,-5) Matrix(867,-1426,76,-125) -> Matrix(1,2,0,1) Matrix(3721,-6138,1578,-2603) -> Matrix(1,-2,2,-3) Matrix(6697,-11346,1756,-2975) -> Matrix(1,2,0,1) Matrix(1053,-1798,400,-683) -> Matrix(1,0,-4,1) Matrix(4589,-7936,1792,-3099) -> Matrix(41,-24,12,-7) Matrix(5083,-8804,1504,-2605) -> Matrix(3,-2,8,-5) Matrix(3535,-6138,1392,-2417) -> Matrix(19,-12,8,-5) Matrix(559,-992,244,-433) -> Matrix(3,-4,4,-5) Matrix(869,-1550,208,-371) -> Matrix(1,0,0,1) Matrix(867,-1550,278,-497) -> Matrix(9,-4,-2,1) Matrix(311,-558,34,-61) -> Matrix(3,-2,2,-1) Matrix(371,-682,68,-125) -> Matrix(1,-2,0,1) Matrix(2481,-4588,670,-1239) -> Matrix(3,-2,2,-1) Matrix(3349,-6200,1540,-2851) -> Matrix(7,-2,4,-1) Matrix(869,-1612,200,-371) -> Matrix(1,0,0,1) Matrix(1737,-3782,626,-1363) -> Matrix(1,-4,2,-7) Matrix(1363,-2976,398,-869) -> Matrix(5,-6,6,-7) Matrix(557,-1240,84,-187) -> Matrix(1,2,0,1) Matrix(931,-2108,246,-557) -> Matrix(7,-4,2,-1) Matrix(1053,-2480,290,-683) -> Matrix(17,-12,10,-7) Matrix(10479,-25234,2806,-6757) -> Matrix(23,-30,10,-13) Matrix(6199,-15128,1728,-4217) -> Matrix(7,-16,4,-9) Matrix(681,-1736,122,-311) -> Matrix(1,-2,-2,5) Matrix(6695,-17608,1792,-4713) -> Matrix(9,2,4,1) Matrix(931,-2542,204,-557) -> Matrix(1,0,0,1) Matrix(497,-1364,90,-247) -> Matrix(1,0,-2,1) Matrix(1241,-3534,348,-991) -> Matrix(1,0,0,1) Matrix(249,-806,38,-123) -> Matrix(3,-2,2,-1) Matrix(993,-3286,262,-867) -> Matrix(7,-4,2,-1) Matrix(683,-2294,92,-309) -> Matrix(1,4,0,1) Matrix(1861,-6634,278,-991) -> Matrix(1,-2,2,-3) Matrix(6137,-22010,1608,-5767) -> Matrix(17,-30,4,-7) Matrix(2419,-8742,360,-1301) -> Matrix(13,-18,8,-11) Matrix(249,-1178,26,-123) -> Matrix(1,-2,2,-3) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 160 Degree of the the map X: 160 Degree of the the map Y: 480 ----------------------------------------------------------------------- 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): 1440 Minimal number of generators: 241 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: 60 Genus: 91 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -31/25 0/1 1/1 31/24 31/22 3/2 31/20 93/59 31/19 31/18 93/52 31/17 2/1 31/14 93/41 62/27 217/92 31/13 155/64 5/2 31/12 124/47 62/23 93/34 31/11 3/1 155/46 31/9 7/2 93/26 29/8 31/8 4/1 17/4 124/29 13/3 31/7 9/2 14/3 5/1 31/6 21/4 16/3 11/2 23/4 6/1 31/5 25/4 19/3 13/2 27/4 7/1 15/2 31/4 8/1 9/1 19/2 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 0/1 -8/1 5/1 -15/2 -13/2 -22/3 -5/1 -7/1 -2/1 -13/2 -3/2 -19/3 -2/1 -6/1 -1/1 -11/2 1/2 -5/1 -4/1 -19/4 -7/4 -33/7 -2/1 -14/3 -5/3 -23/5 -6/5 -9/2 -3/2 -31/7 -1/1 -22/5 -1/1 -35/8 -3/4 -13/3 0/1 -30/7 -1/1 -17/4 -3/4 -4/1 1/1 -23/6 -13/2 -42/11 -5/1 -19/5 -4/1 -34/9 -3/1 -15/4 -11/4 -41/11 -2/1 -26/7 -5/3 -11/3 -2/1 -29/8 -7/4 -18/5 -1/1 -7/2 -3/2 -31/9 -1/1 -24/7 -1/1 -41/12 -3/4 -17/5 -2/3 -61/18 -1/2 -44/13 -1/3 -27/8 1/0 -64/19 -1/1 -37/11 0/1 -10/3 -1/1 -13/4 1/0 -16/5 1/5 -3/1 -2/1 -17/6 -7/6 -31/11 -1/1 -14/5 -1/1 -11/4 1/0 -41/15 -2/1 -30/11 -1/1 -49/18 -1/2 -19/7 0/1 -46/17 -5/1 -27/10 -3/2 -8/3 -1/3 -37/14 -1/2 -29/11 0/1 -21/8 1/0 -55/21 0/1 -89/34 1/2 -34/13 1/1 -47/18 5/6 -13/5 2/1 -5/2 -3/2 -17/7 -2/1 -63/26 -3/2 -46/19 -25/17 -29/12 -11/8 -12/5 -1/1 -31/13 -1/1 -19/8 -7/8 -26/11 -5/7 -33/14 -1/2 -7/3 0/1 -30/13 -1/1 -23/10 -7/6 -16/7 -5/7 -41/18 -1/2 -25/11 0/1 -59/26 -1/2 -93/41 0/1 -34/15 -1/1 -43/19 0/1 -9/4 1/0 -11/5 -2/1 -13/6 -3/2 -2/1 -1/1 -11/6 -3/2 -31/17 -1/1 -20/11 -1/1 -9/5 -2/3 -34/19 -5/9 -25/14 -1/2 -41/23 0/1 -16/9 -3/1 -39/22 -11/10 -62/35 -1/1 -23/13 -8/9 -7/4 -3/4 -12/7 -1/3 -53/31 0/1 -41/24 -1/4 -29/17 0/1 -46/27 -1/9 -17/10 -1/2 -39/23 4/1 -22/13 -1/1 -27/16 1/0 -32/19 -1/1 -5/3 -2/3 -28/17 -1/1 -23/14 -3/2 -18/11 -1/1 -31/19 -1/1 -13/8 -3/4 -21/13 -2/3 -71/44 -3/4 -50/31 -1/1 -29/18 -7/10 -66/41 -7/11 -37/23 -2/3 -8/5 -1/3 -35/22 -3/2 -62/39 -1/1 -27/17 -4/5 -19/12 -3/4 -49/31 0/1 -30/19 -1/1 -41/26 -1/2 -93/59 -1/1 -52/33 -1/1 -63/40 -3/4 -11/7 -2/3 -36/23 -7/11 -25/16 -5/8 -39/25 -8/13 -14/9 -5/9 -3/2 -1/2 -25/17 0/1 -22/15 -1/1 -19/13 0/1 -16/11 -5/9 -13/9 0/1 -23/16 -1/4 -33/23 0/1 -43/30 1/2 -10/7 -1/1 -37/26 -1/2 -27/19 -4/5 -17/12 -5/8 -7/5 -2/5 -32/23 -1/3 -25/18 -1/2 -93/67 -1/3 -68/49 -1/3 -43/31 -2/7 -104/75 -1/3 -61/44 -1/4 -18/13 -1/3 -11/8 1/0 -15/11 -4/11 -19/14 -1/2 -4/3 -1/1 -25/19 0/1 -21/16 1/0 -17/13 0/1 -47/36 -9/8 -30/23 -1/1 -13/10 -1/2 -9/7 -2/5 -41/32 -3/8 -32/25 -1/3 -23/18 -3/10 -14/11 -1/3 -5/4 -1/4 -31/25 0/1 -26/21 1/9 -21/17 0/1 -16/13 3/1 -27/22 -1/2 -11/9 0/1 -17/14 1/2 -23/19 -4/1 -6/5 -1/1 -7/6 -1/2 -8/7 1/3 -1/1 0/1 0/1 0/1 1/1 0/1 10/9 1/1 9/8 1/0 8/7 -1/3 7/6 1/2 13/11 0/1 19/16 3/8 6/5 1/1 23/19 4/1 17/14 -1/2 28/23 1/3 11/9 0/1 27/22 1/2 16/13 -3/1 21/17 0/1 5/4 1/4 14/11 1/3 23/18 3/10 32/25 1/3 9/7 2/5 31/24 1/2 22/17 5/9 13/10 1/2 30/23 1/1 47/36 9/8 17/13 0/1 21/16 1/0 4/3 1/1 19/14 1/2 34/25 3/11 15/11 4/11 41/30 1/2 26/19 5/9 11/8 1/0 29/21 0/1 47/34 1/10 18/13 1/3 61/44 1/4 43/31 2/7 25/18 1/2 57/41 2/5 32/23 1/3 7/5 2/5 31/22 1/2 24/17 7/13 17/12 5/8 27/19 4/5 91/64 11/12 155/109 1/1 64/45 1/1 37/26 1/2 10/7 1/1 33/23 0/1 23/16 1/4 13/9 0/1 29/20 3/8 16/11 5/9 19/13 0/1 22/15 1/1 3/2 1/2 17/11 4/9 31/20 1/2 14/9 5/9 25/16 5/8 11/7 2/3 52/33 1/1 93/59 1/1 41/26 1/2 71/45 2/3 30/19 1/1 49/31 0/1 19/12 3/4 27/17 4/5 8/5 1/3 37/23 2/3 66/41 7/11 29/18 7/10 21/13 2/3 13/8 3/4 31/19 1/1 18/11 1/1 23/14 3/2 51/31 0/1 28/17 1/1 61/37 0/1 33/20 1/0 5/3 2/3 32/19 1/1 59/35 0/1 27/16 1/0 22/13 1/1 39/23 -4/1 17/10 1/2 63/37 0/1 109/64 -1/16 155/91 0/1 46/27 1/9 29/17 0/1 12/7 1/3 31/18 1/2 19/11 4/7 7/4 3/4 23/13 8/9 16/9 3/1 41/23 0/1 25/14 1/2 59/33 6/13 93/52 1/2 34/19 5/9 43/24 5/8 9/5 2/3 38/21 7/9 29/16 3/4 20/11 1/1 31/17 1/1 11/6 3/2 13/7 0/1 15/8 7/8 17/9 2/1 2/1 1/1 15/7 8/7 13/6 3/2 24/11 1/1 35/16 1/0 11/5 2/1 31/14 1/0 20/9 -1/1 9/4 1/0 34/15 1/1 93/41 0/1 59/26 1/2 84/37 1/1 25/11 0/1 66/29 1/3 41/18 1/2 16/7 5/7 39/17 12/13 62/27 1/1 23/10 7/6 30/13 1/1 7/3 0/1 33/14 1/2 125/53 2/3 217/92 3/4 92/39 1/1 59/25 2/3 26/11 5/7 19/8 7/8 31/13 1/1 12/5 1/1 53/22 3/2 41/17 4/3 29/12 11/8 46/19 25/17 155/64 3/2 109/45 56/37 63/26 3/2 17/7 2/1 5/2 3/2 18/7 5/1 31/12 1/0 13/5 -2/1 47/18 -5/6 34/13 -1/1 123/47 0/1 89/34 -1/2 55/21 0/1 21/8 1/0 71/27 0/1 50/19 -1/1 29/11 0/1 124/47 0/1 95/36 1/12 66/25 1/5 37/14 1/2 8/3 1/3 35/13 4/5 62/23 1/1 27/10 3/2 46/17 5/1 19/7 0/1 49/18 1/2 30/11 1/1 41/15 2/1 93/34 1/0 52/19 -1/1 11/4 1/0 25/9 2/3 64/23 1/1 39/14 5/6 14/5 1/1 31/11 1/1 17/6 7/6 20/7 1/1 23/8 7/4 3/1 2/1 22/7 -1/1 41/13 -2/1 19/6 -1/2 16/5 -1/5 29/9 0/1 13/4 1/0 10/3 1/1 47/14 5/2 37/11 0/1 64/19 1/1 155/46 1/0 91/27 0/1 27/8 1/0 44/13 1/3 61/18 1/2 17/5 2/3 41/12 3/4 24/7 1/1 31/9 1/1 7/2 3/2 25/7 4/3 93/26 3/2 68/19 11/7 43/12 7/4 18/5 1/1 47/13 16/11 29/8 7/4 69/19 12/7 40/11 9/5 11/3 2/1 37/10 3/2 63/17 2/1 26/7 5/3 93/25 2/1 67/18 21/10 41/11 2/1 56/15 7/3 71/19 2/1 15/4 11/4 34/9 3/1 53/14 7/2 19/5 4/1 61/16 1/0 42/11 5/1 23/6 13/2 27/7 14/1 31/8 1/0 4/1 -1/1 17/4 3/4 47/11 10/11 124/29 1/1 77/18 15/14 30/7 1/1 13/3 0/1 35/8 3/4 22/5 1/1 31/7 1/1 9/2 3/2 41/9 2/1 32/7 1/1 23/5 6/5 37/8 5/4 14/3 5/3 47/10 13/6 33/7 2/1 52/11 1/1 19/4 7/4 5/1 4/1 31/6 1/0 26/5 -15/1 21/4 1/0 16/3 -7/3 11/2 -1/2 17/3 0/1 23/4 1/4 29/5 0/1 6/1 1/1 31/5 1/1 25/4 5/4 19/3 2/1 13/2 3/2 20/3 1/1 27/4 1/0 7/1 2/1 22/3 5/1 37/5 4/1 15/2 13/2 23/3 18/1 31/4 1/0 8/1 -5/1 9/1 0/1 19/2 -1/2 10/1 1/1 11/1 2/1 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(63,682,-40,-433) (-10/1,1/0) -> (-52/33,-63/40) Hyperbolic Matrix(63,589,20,187) (-10/1,-9/1) -> (22/7,41/13) Hyperbolic Matrix(61,527,-36,-311) (-9/1,-8/1) -> (-39/23,-22/13) Hyperbolic Matrix(61,465,8,61) (-8/1,-15/2) -> (15/2,23/3) Hyperbolic Matrix(187,1395,50,373) (-15/2,-22/3) -> (71/19,15/4) Hyperbolic Matrix(247,1798,68,495) (-22/3,-7/1) -> (69/19,40/11) Hyperbolic Matrix(61,403,28,185) (-7/1,-13/2) -> (13/6,24/11) Hyperbolic Matrix(185,1178,68,433) (-13/2,-19/3) -> (19/7,49/18) Hyperbolic Matrix(247,1550,-178,-1117) (-19/3,-6/1) -> (-68/49,-43/31) Hyperbolic Matrix(61,341,22,123) (-6/1,-11/2) -> (11/4,25/9) Hyperbolic Matrix(63,341,46,249) (-11/2,-5/1) -> (26/19,11/8) Hyperbolic Matrix(123,589,-52,-249) (-5/1,-19/4) -> (-19/8,-26/11) Hyperbolic Matrix(433,2046,-302,-1427) (-19/4,-33/7) -> (-33/23,-43/30) Hyperbolic Matrix(125,589,66,311) (-33/7,-14/3) -> (17/9,2/1) Hyperbolic Matrix(187,868,-120,-557) (-14/3,-23/5) -> (-39/25,-14/9) Hyperbolic Matrix(61,279,54,247) (-23/5,-9/2) -> (9/8,8/7) Hyperbolic Matrix(125,558,28,125) (-9/2,-31/7) -> (31/7,9/2) Hyperbolic Matrix(309,1364,70,309) (-31/7,-22/5) -> (22/5,31/7) Hyperbolic Matrix(311,1364,184,807) (-22/5,-35/8) -> (27/16,22/13) Hyperbolic Matrix(433,1891,-128,-559) (-35/8,-13/3) -> (-44/13,-27/8) Hyperbolic Matrix(433,1860,274,1177) (-13/3,-30/7) -> (30/19,49/31) Hyperbolic Matrix(371,1581,218,929) (-30/7,-17/4) -> (17/10,63/37) Hyperbolic Matrix(125,527,-88,-371) (-17/4,-4/1) -> (-27/19,-17/12) Hyperbolic Matrix(185,713,48,185) (-4/1,-23/6) -> (23/6,27/7) Hyperbolic Matrix(373,1426,130,497) (-23/6,-42/11) -> (20/7,23/8) Hyperbolic Matrix(993,3782,-716,-2727) (-42/11,-19/5) -> (-43/31,-104/75) Hyperbolic Matrix(557,2108,-246,-931) (-19/5,-34/9) -> (-34/15,-43/19) Hyperbolic Matrix(559,2108,214,807) (-34/9,-15/4) -> (47/18,34/13) Hyperbolic Matrix(557,2077,166,619) (-15/4,-41/11) -> (10/3,47/14) Hyperbolic Matrix(433,1612,-350,-1303) (-41/11,-26/7) -> (-26/21,-21/17) Hyperbolic Matrix(185,682,-118,-435) (-26/7,-11/3) -> (-11/7,-36/23) Hyperbolic Matrix(247,899,136,495) (-11/3,-29/8) -> (29/16,20/11) Hyperbolic Matrix(249,899,172,621) (-29/8,-18/5) -> (13/9,29/20) Hyperbolic Matrix(61,217,52,185) (-18/5,-7/2) -> (7/6,13/11) Hyperbolic Matrix(125,434,36,125) (-7/2,-31/9) -> (31/9,7/2) Hyperbolic Matrix(433,1488,126,433) (-31/9,-24/7) -> (24/7,31/9) Hyperbolic Matrix(807,2759,-308,-1053) (-24/7,-41/12) -> (-21/8,-55/21) Hyperbolic Matrix(309,1054,236,805) (-41/12,-17/5) -> (17/13,21/16) Hyperbolic Matrix(621,2108,256,869) (-17/5,-61/18) -> (63/26,17/7) Hyperbolic Matrix(1117,3782,806,2729) (-61/18,-44/13) -> (18/13,61/44) Hyperbolic Matrix(1241,4185,368,1241) (-27/8,-64/19) -> (91/27,27/8) Hyperbolic Matrix(1179,3968,424,1427) (-64/19,-37/11) -> (25/9,64/23) Hyperbolic Matrix(619,2077,166,557) (-37/11,-10/3) -> (41/11,56/15) Hyperbolic Matrix(123,403,-76,-249) (-10/3,-13/4) -> (-13/8,-21/13) Hyperbolic Matrix(125,403,58,187) (-13/4,-16/5) -> (15/7,13/6) Hyperbolic Matrix(185,589,136,433) (-16/5,-3/1) -> (34/25,15/11) Hyperbolic Matrix(185,527,152,433) (-3/1,-17/6) -> (17/14,28/23) Hyperbolic Matrix(373,1054,132,373) (-17/6,-31/11) -> (31/11,17/6) Hyperbolic Matrix(309,868,110,309) (-31/11,-14/5) -> (14/5,31/11) Hyperbolic Matrix(123,341,22,61) (-14/5,-11/4) -> (11/2,17/3) Hyperbolic Matrix(373,1023,136,373) (-11/4,-41/15) -> (52/19,11/4) Hyperbolic Matrix(125,341,114,311) (-41/15,-30/11) -> (1/1,10/9) Hyperbolic Matrix(683,1860,524,1427) (-30/11,-49/18) -> (13/10,30/23) Hyperbolic Matrix(433,1178,68,185) (-49/18,-19/7) -> (19/3,13/2) Hyperbolic Matrix(435,1178,298,807) (-19/7,-46/17) -> (16/11,19/13) Hyperbolic Matrix(619,1674,504,1363) (-46/17,-27/10) -> (27/22,16/13) Hyperbolic Matrix(185,496,-116,-311) (-27/10,-8/3) -> (-8/5,-35/22) Hyperbolic Matrix(621,1643,-398,-1053) (-8/3,-37/14) -> (-25/16,-39/25) Hyperbolic Matrix(1303,3441,916,2419) (-37/14,-29/11) -> (64/45,37/26) Hyperbolic Matrix(683,1798,-400,-1053) (-29/11,-21/8) -> (-41/24,-29/17) Hyperbolic Matrix(805,2108,118,309) (-55/21,-89/34) -> (27/4,7/1) Hyperbolic Matrix(2357,6169,1398,3659) (-89/34,-34/13) -> (59/35,27/16) Hyperbolic Matrix(807,2108,214,559) (-34/13,-47/18) -> (15/4,34/9) Hyperbolic Matrix(309,806,166,433) (-47/18,-13/5) -> (13/7,15/8) Hyperbolic Matrix(61,155,24,61) (-13/5,-5/2) -> (5/2,18/7) Hyperbolic Matrix(63,155,-50,-123) (-5/2,-17/7) -> (-14/11,-5/4) Hyperbolic Matrix(869,2108,256,621) (-17/7,-63/26) -> (61/18,17/5) Hyperbolic Matrix(4031,9765,1664,4031) (-63/26,-46/19) -> (109/45,63/26) Hyperbolic Matrix(743,1798,512,1239) (-46/19,-29/12) -> (29/20,16/11) Hyperbolic Matrix(745,1798,-462,-1115) (-29/12,-12/5) -> (-50/31,-29/18) Hyperbolic Matrix(311,744,130,311) (-12/5,-31/13) -> (31/13,12/5) Hyperbolic Matrix(495,1178,208,495) (-31/13,-19/8) -> (19/8,31/13) Hyperbolic Matrix(433,1023,262,619) (-26/11,-33/14) -> (33/20,5/3) Hyperbolic Matrix(619,1457,342,805) (-33/14,-7/3) -> (38/21,29/16) Hyperbolic Matrix(187,434,134,311) (-7/3,-30/13) -> (32/23,7/5) Hyperbolic Matrix(619,1426,484,1115) (-30/13,-23/10) -> (23/18,32/25) Hyperbolic Matrix(433,992,-244,-559) (-23/10,-16/7) -> (-16/9,-39/22) Hyperbolic Matrix(435,992,82,187) (-16/7,-41/18) -> (21/4,16/3) Hyperbolic Matrix(681,1550,-518,-1179) (-41/18,-25/11) -> (-25/19,-21/16) Hyperbolic Matrix(683,1550,-464,-1053) (-25/11,-59/26) -> (-3/2,-25/17) Hyperbolic Matrix(4837,10974,2132,4837) (-59/26,-93/41) -> (93/41,59/26) Hyperbolic Matrix(2789,6324,1230,2789) (-93/41,-34/15) -> (34/15,93/41) Hyperbolic Matrix(1549,3503,-960,-2171) (-43/19,-9/4) -> (-71/44,-50/31) Hyperbolic Matrix(125,279,56,125) (-9/4,-11/5) -> (20/9,9/4) Hyperbolic Matrix(185,403,28,61) (-11/5,-13/6) -> (13/2,20/3) Hyperbolic Matrix(187,403,58,125) (-13/6,-2/1) -> (29/9,13/4) Hyperbolic Matrix(185,341,134,247) (-2/1,-11/6) -> (11/8,29/21) Hyperbolic Matrix(373,682,204,373) (-11/6,-31/17) -> (31/17,11/6) Hyperbolic Matrix(681,1240,374,681) (-31/17,-20/11) -> (20/11,31/17) Hyperbolic Matrix(495,899,136,247) (-20/11,-9/5) -> (40/11,11/3) Hyperbolic Matrix(433,775,138,247) (-9/5,-34/19) -> (3/1,22/7) Hyperbolic Matrix(1301,2325,728,1301) (-34/19,-25/14) -> (25/14,59/33) Hyperbolic Matrix(991,1767,-696,-1241) (-25/14,-41/23) -> (-10/7,-37/26) Hyperbolic Matrix(557,992,452,805) (-41/23,-16/9) -> (16/13,21/17) Hyperbolic Matrix(2169,3844,944,1673) (-39/22,-62/35) -> (62/27,23/10) Hyperbolic Matrix(2171,3844,946,1675) (-62/35,-23/13) -> (39/17,62/27) Hyperbolic Matrix(123,217,-106,-187) (-23/13,-7/4) -> (-7/6,-8/7) Hyperbolic Matrix(125,217,72,125) (-7/4,-12/7) -> (19/11,7/4) Hyperbolic Matrix(743,1271,-508,-869) (-12/7,-53/31) -> (-22/15,-19/13) Hyperbolic Matrix(2975,5084,1886,3223) (-53/31,-41/24) -> (41/26,71/45) Hyperbolic Matrix(1055,1798,328,559) (-29/17,-46/27) -> (16/5,29/9) Hyperbolic Matrix(929,1581,218,371) (-46/27,-17/10) -> (17/4,47/11) Hyperbolic Matrix(621,1054,512,869) (-17/10,-39/23) -> (23/19,17/14) Hyperbolic Matrix(807,1364,184,311) (-22/13,-27/16) -> (35/8,22/5) Hyperbolic Matrix(3659,6169,1398,2357) (-27/16,-32/19) -> (123/47,89/34) Hyperbolic Matrix(1179,1984,848,1427) (-32/19,-5/3) -> (57/41,32/23) Hyperbolic Matrix(619,1023,262,433) (-5/3,-28/17) -> (59/25,26/11) Hyperbolic Matrix(433,713,150,247) (-28/17,-23/14) -> (23/8,3/1) Hyperbolic Matrix(435,713,-302,-495) (-23/14,-18/11) -> (-13/9,-23/16) Hyperbolic Matrix(683,1116,418,683) (-18/11,-31/19) -> (31/19,18/11) Hyperbolic Matrix(495,806,304,495) (-31/19,-13/8) -> (13/8,31/19) Hyperbolic Matrix(1921,3100,422,681) (-21/13,-71/44) -> (9/2,41/9) Hyperbolic Matrix(4217,6789,2966,4775) (-29/18,-66/41) -> (27/19,91/64) Hyperbolic Matrix(2543,4092,1118,1799) (-66/41,-37/23) -> (25/11,66/29) Hyperbolic Matrix(559,899,-462,-743) (-37/23,-8/5) -> (-23/19,-6/5) Hyperbolic Matrix(2417,3844,896,1425) (-35/22,-62/39) -> (62/23,27/10) Hyperbolic Matrix(2419,3844,898,1427) (-62/39,-27/17) -> (35/13,62/23) Hyperbolic Matrix(371,589,-274,-435) (-27/17,-19/12) -> (-19/14,-4/3) Hyperbolic Matrix(745,1178,628,993) (-19/12,-49/31) -> (13/11,19/16) Hyperbolic Matrix(1177,1860,274,433) (-49/31,-30/19) -> (30/7,13/3) Hyperbolic Matrix(1611,2542,-1258,-1985) (-30/19,-41/26) -> (-41/32,-32/25) Hyperbolic Matrix(4837,7626,3068,4837) (-41/26,-93/59) -> (93/59,41/26) Hyperbolic Matrix(6137,9672,3894,6137) (-93/59,-52/33) -> (52/33,93/59) Hyperbolic Matrix(4587,7223,-3308,-5209) (-63/40,-11/7) -> (-104/75,-61/44) Hyperbolic Matrix(1487,2325,1070,1673) (-36/23,-25/16) -> (25/18,57/41) Hyperbolic Matrix(61,93,40,61) (-14/9,-3/2) -> (3/2,17/11) Hyperbolic Matrix(929,1364,126,185) (-25/17,-22/15) -> (22/3,37/5) Hyperbolic Matrix(807,1178,298,435) (-19/13,-16/11) -> (46/17,19/7) Hyperbolic Matrix(621,899,172,249) (-16/11,-13/9) -> (18/5,47/13) Hyperbolic Matrix(1921,2759,690,991) (-23/16,-33/23) -> (64/23,39/14) Hyperbolic Matrix(1363,1953,432,619) (-43/30,-10/7) -> (41/13,19/6) Hyperbolic Matrix(2419,3441,916,1303) (-37/26,-27/19) -> (66/25,37/14) Hyperbolic Matrix(373,527,264,373) (-17/12,-7/5) -> (24/17,17/12) Hyperbolic Matrix(311,434,134,187) (-7/5,-32/23) -> (30/13,7/3) Hyperbolic Matrix(1985,2759,536,745) (-32/23,-25/18) -> (37/10,63/17) Hyperbolic Matrix(2233,3100,358,497) (-25/18,-93/67) -> (31/5,25/4) Hyperbolic Matrix(1921,2666,312,433) (-93/67,-68/49) -> (6/1,31/5) Hyperbolic Matrix(2729,3782,806,1117) (-61/44,-18/13) -> (44/13,61/18) Hyperbolic Matrix(247,341,134,185) (-18/13,-11/8) -> (11/6,13/7) Hyperbolic Matrix(249,341,46,63) (-11/8,-15/11) -> (16/3,11/2) Hyperbolic Matrix(433,589,136,185) (-15/11,-19/14) -> (19/6,16/5) Hyperbolic Matrix(1365,1798,848,1117) (-4/3,-25/19) -> (37/23,66/41) Hyperbolic Matrix(805,1054,236,309) (-21/16,-17/13) -> (17/5,41/12) Hyperbolic Matrix(807,1054,428,559) (-17/13,-47/36) -> (15/8,17/9) Hyperbolic Matrix(4775,6231,2804,3659) (-47/36,-30/23) -> (63/37,109/64) Hyperbolic Matrix(1427,1860,524,683) (-30/23,-13/10) -> (49/18,30/11) Hyperbolic Matrix(311,403,240,311) (-13/10,-9/7) -> (22/17,13/10) Hyperbolic Matrix(2419,3100,920,1179) (-9/7,-41/32) -> (21/8,71/27) Hyperbolic Matrix(1115,1426,484,619) (-32/25,-23/18) -> (23/10,30/13) Hyperbolic Matrix(559,713,98,125) (-23/18,-14/11) -> (17/3,23/4) Hyperbolic Matrix(2047,2542,550,683) (-5/4,-31/25) -> (93/25,67/18) Hyperbolic Matrix(2603,3224,700,867) (-31/25,-26/21) -> (26/7,93/25) Hyperbolic Matrix(805,992,452,557) (-21/17,-16/13) -> (16/9,41/23) Hyperbolic Matrix(1363,1674,504,619) (-16/13,-27/22) -> (27/10,46/17) Hyperbolic Matrix(683,837,102,125) (-27/22,-11/9) -> (20/3,27/4) Hyperbolic Matrix(433,527,152,185) (-11/9,-17/14) -> (17/6,20/7) Hyperbolic Matrix(869,1054,512,621) (-17/14,-23/19) -> (39/23,17/10) Hyperbolic Matrix(185,217,52,61) (-6/5,-7/6) -> (7/2,25/7) Hyperbolic Matrix(247,279,54,61) (-8/7,-1/1) -> (32/7,23/5) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(805,-899,334,-373) (10/9,9/8) -> (53/22,41/17) Hyperbolic Matrix(187,-217,106,-123) (8/7,7/6) -> (7/4,23/13) Hyperbolic Matrix(1303,-1550,364,-433) (19/16,6/5) -> (68/19,43/12) Hyperbolic Matrix(743,-899,462,-559) (6/5,23/19) -> (8/5,37/23) Hyperbolic Matrix(1425,-1736,866,-1055) (28/23,11/9) -> (51/31,28/17) Hyperbolic Matrix(557,-682,254,-311) (11/9,27/22) -> (35/16,11/5) Hyperbolic Matrix(1303,-1612,350,-433) (21/17,5/4) -> (67/18,41/11) Hyperbolic Matrix(123,-155,50,-63) (5/4,14/11) -> (17/7,5/2) Hyperbolic Matrix(681,-868,244,-311) (14/11,23/18) -> (39/14,14/5) Hyperbolic Matrix(1985,-2542,1258,-1611) (32/25,9/7) -> (71/45,30/19) Hyperbolic Matrix(745,-961,576,-743) (9/7,31/24) -> (31/24,22/17) Parabolic Matrix(2851,-3720,666,-869) (30/23,47/36) -> (77/18,30/7) Hyperbolic Matrix(1115,-1457,238,-311) (47/36,17/13) -> (14/3,47/10) Hyperbolic Matrix(1179,-1550,518,-681) (21/16,4/3) -> (66/29,41/18) Hyperbolic Matrix(435,-589,274,-371) (4/3,19/14) -> (19/12,27/17) Hyperbolic Matrix(1551,-2108,866,-1177) (19/14,34/25) -> (34/19,43/24) Hyperbolic Matrix(931,-1271,408,-557) (15/11,41/30) -> (41/18,16/7) Hyperbolic Matrix(1179,-1612,226,-309) (41/30,26/19) -> (26/5,21/4) Hyperbolic Matrix(2109,-2914,448,-619) (29/21,47/34) -> (47/10,33/7) Hyperbolic Matrix(1053,-1457,404,-559) (47/34,18/13) -> (13/5,47/18) Hyperbolic Matrix(2727,-3782,716,-993) (61/44,43/31) -> (19/5,61/16) Hyperbolic Matrix(1117,-1550,178,-247) (43/31,25/18) -> (25/4,19/3) Hyperbolic Matrix(683,-961,484,-681) (7/5,31/22) -> (31/22,24/17) Parabolic Matrix(371,-527,88,-125) (17/12,27/19) -> (4/1,17/4) Hyperbolic Matrix(18291,-26009,6932,-9857) (91/64,155/109) -> (124/47,95/36) Hyperbolic Matrix(8741,-12431,3314,-4713) (155/109,64/45) -> (29/11,124/47) Hyperbolic Matrix(1241,-1767,696,-991) (37/26,10/7) -> (41/23,25/14) Hyperbolic Matrix(1427,-2046,302,-433) (10/7,33/23) -> (33/7,52/11) Hyperbolic Matrix(993,-1426,172,-247) (33/23,23/16) -> (23/4,29/5) Hyperbolic Matrix(495,-713,302,-435) (23/16,13/9) -> (18/11,23/14) Hyperbolic Matrix(1673,-2449,636,-931) (19/13,22/15) -> (71/27,50/19) Hyperbolic Matrix(1053,-1550,464,-683) (22/15,3/2) -> (59/26,84/37) Hyperbolic Matrix(621,-961,400,-619) (17/11,31/20) -> (31/20,14/9) Parabolic Matrix(557,-868,120,-187) (14/9,25/16) -> (37/8,14/3) Hyperbolic Matrix(435,-682,118,-185) (25/16,11/7) -> (11/3,37/10) Hyperbolic Matrix(433,-682,40,-63) (11/7,52/33) -> (10/1,11/1) Hyperbolic Matrix(1549,-2449,432,-683) (49/31,19/12) -> (43/12,18/5) Hyperbolic Matrix(311,-496,116,-185) (27/17,8/5) -> (8/3,35/13) Hyperbolic Matrix(5083,-8184,1926,-3101) (66/41,29/18) -> (95/36,66/25) Hyperbolic Matrix(1115,-1798,462,-745) (29/18,21/13) -> (41/17,29/12) Hyperbolic Matrix(249,-403,76,-123) (21/13,13/8) -> (13/4,10/3) Hyperbolic Matrix(1301,-2139,340,-559) (23/14,51/31) -> (42/11,23/6) Hyperbolic Matrix(2727,-4495,1618,-2667) (28/17,61/37) -> (32/19,59/35) Hyperbolic Matrix(3721,-6138,1578,-2603) (61/37,33/20) -> (33/14,125/53) Hyperbolic Matrix(683,-1147,184,-309) (5/3,32/19) -> (63/17,26/7) Hyperbolic Matrix(311,-527,36,-61) (22/13,39/23) -> (8/1,9/1) Hyperbolic Matrix(14943,-25451,3494,-5951) (109/64,155/91) -> (124/29,77/18) Hyperbolic Matrix(7625,-12989,1784,-3039) (155/91,46/27) -> (47/11,124/29) Hyperbolic Matrix(309,-527,146,-249) (46/27,29/17) -> (2/1,15/7) Hyperbolic Matrix(1053,-1798,400,-683) (29/17,12/7) -> (50/19,29/11) Hyperbolic Matrix(559,-961,324,-557) (12/7,31/18) -> (31/18,19/11) Parabolic Matrix(559,-992,244,-433) (23/13,16/9) -> (16/7,39/17) Hyperbolic Matrix(4837,-8649,2704,-4835) (59/33,93/52) -> (93/52,34/19) Parabolic Matrix(311,-558,34,-61) (43/24,9/5) -> (9/1,19/2) Hyperbolic Matrix(497,-899,68,-123) (9/5,38/21) -> (7/1,22/3) Hyperbolic Matrix(1859,-4061,710,-1551) (24/11,35/16) -> (89/34,55/21) Hyperbolic Matrix(435,-961,196,-433) (11/5,31/14) -> (31/14,20/9) Parabolic Matrix(931,-2108,246,-557) (9/4,34/15) -> (34/9,53/14) Hyperbolic Matrix(2853,-6479,764,-1735) (84/37,25/11) -> (56/15,71/19) Hyperbolic Matrix(1053,-2480,290,-683) (7/3,33/14) -> (29/8,69/19) Hyperbolic Matrix(19965,-47089,8464,-19963) (125/53,217/92) -> (217/92,92/39) Parabolic Matrix(4401,-10385,1682,-3969) (92/39,59/25) -> (34/13,123/47) Hyperbolic Matrix(249,-589,52,-123) (26/11,19/8) -> (19/4,5/1) Hyperbolic Matrix(683,-1643,180,-433) (12/5,53/22) -> (53/14,19/5) Hyperbolic Matrix(1115,-2697,308,-745) (29/12,46/19) -> (47/13,29/8) Hyperbolic Matrix(9921,-24025,4096,-9919) (46/19,155/64) -> (155/64,109/45) Parabolic Matrix(373,-961,144,-371) (18/7,31/12) -> (31/12,13/5) Parabolic Matrix(1053,-2759,308,-807) (55/21,21/8) -> (41/12,24/7) Hyperbolic Matrix(433,-1147,94,-249) (37/14,8/3) -> (23/5,37/8) Hyperbolic Matrix(931,-2542,204,-557) (30/11,41/15) -> (41/9,32/7) Hyperbolic Matrix(3163,-8649,1156,-3161) (41/15,93/34) -> (93/34,52/19) Parabolic Matrix(683,-2294,92,-309) (47/14,37/11) -> (37/5,15/2) Hyperbolic Matrix(433,-1457,74,-249) (37/11,64/19) -> (29/5,6/1) Hyperbolic Matrix(7131,-24025,2116,-7129) (64/19,155/46) -> (155/46,91/27) Parabolic Matrix(559,-1891,128,-433) (27/8,44/13) -> (13/3,35/8) Hyperbolic Matrix(2419,-8649,676,-2417) (25/7,93/26) -> (93/26,68/19) Parabolic Matrix(187,-713,16,-61) (61/16,42/11) -> (11/1,1/0) Hyperbolic Matrix(249,-961,64,-247) (27/7,31/8) -> (31/8,4/1) Parabolic Matrix(249,-1178,26,-123) (52/11,19/4) -> (19/2,10/1) Hyperbolic Matrix(187,-961,36,-185) (5/1,31/6) -> (31/6,26/5) Parabolic Matrix(125,-961,16,-123) (23/3,31/4) -> (31/4,8/1) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(63,682,-40,-433) -> Matrix(3,4,-4,-5) Matrix(63,589,20,187) -> Matrix(1,-1,0,1) Matrix(61,527,-36,-311) -> Matrix(1,-1,0,1) Matrix(61,465,8,61) -> Matrix(1,13,0,1) Matrix(187,1395,50,373) -> Matrix(5,27,2,11) Matrix(247,1798,68,495) -> Matrix(7,26,4,15) Matrix(61,403,28,185) -> Matrix(1,3,0,1) Matrix(185,1178,68,433) -> Matrix(1,2,0,1) Matrix(247,1550,-178,-1117) -> Matrix(3,4,-10,-13) Matrix(61,341,22,123) -> Matrix(1,-1,2,-1) Matrix(63,341,46,249) -> Matrix(1,-1,2,-1) Matrix(123,589,-52,-249) -> Matrix(3,7,-4,-9) Matrix(433,2046,-302,-1427) -> Matrix(1,2,-2,-3) Matrix(125,589,66,311) -> Matrix(1,1,2,3) Matrix(187,868,-120,-557) -> Matrix(7,10,-12,-17) Matrix(61,279,54,247) -> Matrix(1,1,2,3) Matrix(125,558,28,125) -> Matrix(5,6,4,5) Matrix(309,1364,70,309) -> Matrix(9,8,10,9) Matrix(311,1364,184,807) -> Matrix(3,2,4,3) Matrix(433,1891,-128,-559) -> Matrix(1,1,-4,-3) Matrix(433,1860,274,1177) -> Matrix(1,0,2,1) Matrix(371,1581,218,929) -> Matrix(1,1,-2,-1) Matrix(125,527,-88,-371) -> Matrix(3,1,-4,-1) Matrix(185,713,48,185) -> Matrix(1,13,0,1) Matrix(373,1426,130,497) -> Matrix(3,16,2,11) Matrix(993,3782,-716,-2727) -> Matrix(1,6,-4,-23) Matrix(557,2108,-246,-931) -> Matrix(1,4,-2,-7) Matrix(559,2108,214,807) -> Matrix(1,4,-2,-7) Matrix(557,2077,166,619) -> Matrix(3,7,2,5) Matrix(433,1612,-350,-1303) -> Matrix(1,2,6,13) Matrix(185,682,-118,-435) -> Matrix(1,4,-2,-7) Matrix(247,899,136,495) -> Matrix(7,13,8,15) Matrix(249,899,172,621) -> Matrix(1,1,4,5) Matrix(61,217,52,185) -> Matrix(1,1,4,5) Matrix(125,434,36,125) -> Matrix(5,6,4,5) Matrix(433,1488,126,433) -> Matrix(13,12,14,13) Matrix(807,2759,-308,-1053) -> Matrix(1,1,-4,-3) Matrix(309,1054,236,805) -> Matrix(3,2,4,3) Matrix(621,2108,256,869) -> Matrix(13,8,8,5) Matrix(1117,3782,806,2729) -> Matrix(1,0,6,1) Matrix(1241,4185,368,1241) -> Matrix(1,1,0,1) Matrix(1179,3968,424,1427) -> Matrix(3,2,4,3) Matrix(619,2077,166,557) -> Matrix(5,7,2,3) Matrix(123,403,-76,-249) -> Matrix(3,1,-4,-1) Matrix(125,403,58,187) -> Matrix(3,1,2,1) Matrix(185,589,136,433) -> Matrix(1,-1,4,-3) Matrix(185,527,152,433) -> Matrix(1,1,4,5) Matrix(373,1054,132,373) -> Matrix(13,14,12,13) Matrix(309,868,110,309) -> Matrix(9,8,10,9) Matrix(123,341,22,61) -> Matrix(1,1,-2,-1) Matrix(373,1023,136,373) -> Matrix(1,1,0,1) Matrix(125,341,114,311) -> Matrix(1,1,2,3) Matrix(683,1860,524,1427) -> Matrix(3,2,4,3) Matrix(433,1178,68,185) -> Matrix(1,2,0,1) Matrix(435,1178,298,807) -> Matrix(1,0,2,1) Matrix(619,1674,504,1363) -> Matrix(1,2,0,1) Matrix(185,496,-116,-311) -> Matrix(1,0,0,1) Matrix(621,1643,-398,-1053) -> Matrix(1,3,-2,-5) Matrix(1303,3441,916,2419) -> Matrix(1,1,0,1) Matrix(683,1798,-400,-1053) -> Matrix(1,0,-4,1) Matrix(805,2108,118,309) -> Matrix(3,-2,2,-1) Matrix(2357,6169,1398,3659) -> Matrix(1,-1,2,-1) Matrix(807,2108,214,559) -> Matrix(7,-4,2,-1) Matrix(309,806,166,433) -> Matrix(1,-2,2,-3) Matrix(61,155,24,61) -> Matrix(1,3,0,1) Matrix(63,155,-50,-123) -> Matrix(1,1,-2,-1) Matrix(869,2108,256,621) -> Matrix(5,8,8,13) Matrix(4031,9765,1664,4031) -> Matrix(61,93,40,61) Matrix(743,1798,512,1239) -> Matrix(7,10,16,23) Matrix(745,1798,-462,-1115) -> Matrix(5,6,-6,-7) Matrix(311,744,130,311) -> Matrix(11,12,10,11) Matrix(495,1178,208,495) -> Matrix(15,14,16,15) Matrix(433,1023,262,619) -> Matrix(1,1,-2,-1) Matrix(619,1457,342,805) -> Matrix(11,7,14,9) Matrix(187,434,134,311) -> Matrix(1,2,2,5) Matrix(619,1426,484,1115) -> Matrix(3,4,8,11) Matrix(433,992,-244,-559) -> Matrix(5,4,-4,-3) Matrix(435,992,82,187) -> Matrix(7,4,-2,-1) Matrix(681,1550,-518,-1179) -> Matrix(1,0,2,1) Matrix(683,1550,-464,-1053) -> Matrix(1,0,0,1) Matrix(4837,10974,2132,4837) -> Matrix(1,0,4,1) Matrix(2789,6324,1230,2789) -> Matrix(1,0,2,1) Matrix(1549,3503,-960,-2171) -> Matrix(3,1,-4,-1) Matrix(125,279,56,125) -> Matrix(1,1,0,1) Matrix(185,403,28,61) -> Matrix(1,3,0,1) Matrix(187,403,58,125) -> Matrix(1,1,2,3) Matrix(185,341,134,247) -> Matrix(1,1,2,3) Matrix(373,682,204,373) -> Matrix(5,6,4,5) Matrix(681,1240,374,681) -> Matrix(17,16,18,17) Matrix(495,899,136,247) -> Matrix(15,13,8,7) Matrix(433,775,138,247) -> Matrix(5,3,-2,-1) Matrix(1301,2325,728,1301) -> Matrix(3,1,8,3) Matrix(991,1767,-696,-1241) -> Matrix(3,1,-4,-1) Matrix(557,992,452,805) -> Matrix(1,0,0,1) Matrix(2169,3844,944,1673) -> Matrix(17,18,16,17) Matrix(2171,3844,946,1675) -> Matrix(21,20,22,21) Matrix(123,217,-106,-187) -> Matrix(1,1,-6,-5) Matrix(125,217,72,125) -> Matrix(5,3,8,5) Matrix(743,1271,-508,-869) -> Matrix(3,1,-4,-1) Matrix(2975,5084,1886,3223) -> Matrix(7,2,10,3) Matrix(1055,1798,328,559) -> Matrix(1,0,4,1) Matrix(929,1581,218,371) -> Matrix(1,-1,2,-1) Matrix(621,1054,512,869) -> Matrix(1,0,0,1) Matrix(807,1364,184,311) -> Matrix(3,2,4,3) Matrix(3659,6169,1398,2357) -> Matrix(1,1,-2,-1) Matrix(1179,1984,848,1427) -> Matrix(1,0,4,1) Matrix(619,1023,262,433) -> Matrix(1,-1,2,-1) Matrix(433,713,150,247) -> Matrix(3,1,2,1) Matrix(435,713,-302,-495) -> Matrix(1,1,-2,-1) Matrix(683,1116,418,683) -> Matrix(3,4,2,3) Matrix(495,806,304,495) -> Matrix(7,6,8,7) Matrix(1921,3100,422,681) -> Matrix(1,0,2,1) Matrix(4217,6789,2966,4775) -> Matrix(23,15,26,17) Matrix(2543,4092,1118,1799) -> Matrix(3,2,-2,-1) Matrix(559,899,-462,-743) -> Matrix(5,3,-2,-1) Matrix(2417,3844,896,1425) -> Matrix(5,6,4,5) Matrix(2419,3844,898,1427) -> Matrix(9,8,10,9) Matrix(371,589,-274,-435) -> Matrix(1,1,-6,-5) Matrix(745,1178,628,993) -> Matrix(1,0,4,1) Matrix(1177,1860,274,433) -> Matrix(1,0,2,1) Matrix(1611,2542,-1258,-1985) -> Matrix(5,4,-14,-11) Matrix(4837,7626,3068,4837) -> Matrix(3,2,4,3) Matrix(6137,9672,3894,6137) -> Matrix(9,8,10,9) Matrix(4587,7223,-3308,-5209) -> Matrix(7,5,-24,-17) Matrix(1487,2325,1070,1673) -> Matrix(5,3,18,11) Matrix(61,93,40,61) -> Matrix(1,1,0,1) Matrix(929,1364,126,185) -> Matrix(9,4,2,1) Matrix(807,1178,298,435) -> Matrix(1,0,2,1) Matrix(621,899,172,249) -> Matrix(5,1,4,1) Matrix(1921,2759,690,991) -> Matrix(1,-1,2,-1) Matrix(1363,1953,432,619) -> Matrix(1,-1,0,1) Matrix(2419,3441,916,1303) -> Matrix(1,1,0,1) Matrix(373,527,264,373) -> Matrix(9,5,16,9) Matrix(311,434,134,187) -> Matrix(5,2,2,1) Matrix(1985,2759,536,745) -> Matrix(5,1,4,1) Matrix(2233,3100,358,497) -> Matrix(17,6,14,5) Matrix(1921,2666,312,433) -> Matrix(13,4,16,5) Matrix(2729,3782,806,1117) -> Matrix(1,0,6,1) Matrix(247,341,134,185) -> Matrix(3,1,2,1) Matrix(249,341,46,63) -> Matrix(1,1,-2,-1) Matrix(433,589,136,185) -> Matrix(3,1,-4,-1) Matrix(1365,1798,848,1117) -> Matrix(5,-2,8,-3) Matrix(805,1054,236,309) -> Matrix(3,2,4,3) Matrix(807,1054,428,559) -> Matrix(1,2,0,1) Matrix(4775,6231,2804,3659) -> Matrix(1,1,-8,-7) Matrix(1427,1860,524,683) -> Matrix(3,2,4,3) Matrix(311,403,240,311) -> Matrix(5,3,8,5) Matrix(2419,3100,920,1179) -> Matrix(5,2,-8,-3) Matrix(1115,1426,484,619) -> Matrix(11,4,8,3) Matrix(559,713,98,125) -> Matrix(3,1,2,1) Matrix(2047,2542,550,683) -> Matrix(29,2,14,1) Matrix(2603,3224,700,867) -> Matrix(23,-2,12,-1) Matrix(805,992,452,557) -> Matrix(1,0,0,1) Matrix(1363,1674,504,619) -> Matrix(1,2,0,1) Matrix(683,837,102,125) -> Matrix(3,1,2,1) Matrix(433,527,152,185) -> Matrix(5,1,4,1) Matrix(869,1054,512,621) -> Matrix(1,0,0,1) Matrix(185,217,52,61) -> Matrix(5,1,4,1) Matrix(247,279,54,61) -> Matrix(3,1,2,1) Matrix(1,0,2,1) -> Matrix(1,0,2,1) Matrix(805,-899,334,-373) -> Matrix(3,1,2,1) Matrix(187,-217,106,-123) -> Matrix(5,-1,6,-1) Matrix(1303,-1550,364,-433) -> Matrix(19,-8,12,-5) Matrix(743,-899,462,-559) -> Matrix(1,-3,2,-5) Matrix(1425,-1736,866,-1055) -> Matrix(1,0,-2,1) Matrix(557,-682,254,-311) -> Matrix(3,-2,2,-1) Matrix(1303,-1612,350,-433) -> Matrix(13,2,6,1) Matrix(123,-155,50,-63) -> Matrix(1,-1,2,-1) Matrix(681,-868,244,-311) -> Matrix(5,-2,8,-3) Matrix(1985,-2542,1258,-1611) -> Matrix(11,-4,14,-5) Matrix(745,-961,576,-743) -> Matrix(15,-7,28,-13) Matrix(2851,-3720,666,-869) -> Matrix(7,-6,6,-5) Matrix(1115,-1457,238,-311) -> Matrix(3,-5,2,-3) Matrix(1179,-1550,518,-681) -> Matrix(1,0,2,1) Matrix(435,-589,274,-371) -> Matrix(5,-1,6,-1) Matrix(1551,-2108,866,-1177) -> Matrix(9,-2,14,-3) Matrix(931,-1271,408,-557) -> Matrix(7,-3,12,-5) Matrix(1179,-1612,226,-309) -> Matrix(21,-10,-2,1) Matrix(2109,-2914,448,-619) -> Matrix(7,-2,4,-1) Matrix(1053,-1457,404,-559) -> Matrix(5,-1,-4,1) Matrix(2727,-3782,716,-993) -> Matrix(23,-6,4,-1) Matrix(1117,-1550,178,-247) -> Matrix(13,-4,10,-3) Matrix(683,-961,484,-681) -> Matrix(19,-9,36,-17) Matrix(371,-527,88,-125) -> Matrix(1,-1,4,-3) Matrix(18291,-26009,6932,-9857) -> Matrix(1,-1,24,-23) Matrix(8741,-12431,3314,-4713) -> Matrix(1,-1,-6,7) Matrix(1241,-1767,696,-991) -> Matrix(1,-1,4,-3) Matrix(1427,-2046,302,-433) -> Matrix(3,-2,2,-1) Matrix(993,-1426,172,-247) -> Matrix(1,0,0,1) Matrix(495,-713,302,-435) -> Matrix(1,-1,2,-1) Matrix(1673,-2449,636,-931) -> Matrix(1,-1,0,1) Matrix(1053,-1550,464,-683) -> Matrix(1,0,0,1) Matrix(621,-961,400,-619) -> Matrix(19,-9,36,-17) Matrix(557,-868,120,-187) -> Matrix(17,-10,12,-7) Matrix(435,-682,118,-185) -> Matrix(7,-4,2,-1) Matrix(433,-682,40,-63) -> Matrix(5,-4,4,-3) Matrix(1549,-2449,432,-683) -> Matrix(1,1,0,1) Matrix(311,-496,116,-185) -> Matrix(1,0,0,1) Matrix(5083,-8184,1926,-3101) -> Matrix(3,-2,26,-17) Matrix(1115,-1798,462,-745) -> Matrix(7,-6,6,-5) Matrix(249,-403,76,-123) -> Matrix(1,-1,4,-3) Matrix(1301,-2139,340,-559) -> Matrix(1,5,0,1) Matrix(2727,-4495,1618,-2667) -> Matrix(1,-1,2,-1) Matrix(3721,-6138,1578,-2603) -> Matrix(1,-2,2,-3) Matrix(683,-1147,184,-309) -> Matrix(1,1,0,1) Matrix(311,-527,36,-61) -> Matrix(1,-1,0,1) Matrix(14943,-25451,3494,-5951) -> Matrix(31,1,30,1) Matrix(7625,-12989,1784,-3039) -> Matrix(19,-1,20,-1) Matrix(309,-527,146,-249) -> Matrix(1,-1,2,-1) Matrix(1053,-1798,400,-683) -> Matrix(1,0,-4,1) Matrix(559,-961,324,-557) -> Matrix(11,-5,20,-9) Matrix(559,-992,244,-433) -> Matrix(3,-4,4,-5) Matrix(4837,-8649,2704,-4835) -> Matrix(23,-11,44,-21) Matrix(311,-558,34,-61) -> Matrix(3,-2,2,-1) Matrix(497,-899,68,-123) -> Matrix(17,-13,4,-3) Matrix(1859,-4061,710,-1551) -> Matrix(1,-1,-2,3) Matrix(435,-961,196,-433) -> Matrix(1,-3,0,1) Matrix(931,-2108,246,-557) -> Matrix(7,-4,2,-1) Matrix(2853,-6479,764,-1735) -> Matrix(9,-7,4,-3) Matrix(1053,-2480,290,-683) -> Matrix(17,-12,10,-7) Matrix(19965,-47089,8464,-19963) -> Matrix(13,-9,16,-11) Matrix(4401,-10385,1682,-3969) -> Matrix(1,-1,2,-1) Matrix(249,-589,52,-123) -> Matrix(9,-7,4,-3) Matrix(683,-1643,180,-433) -> Matrix(15,-19,4,-5) Matrix(1115,-2697,308,-745) -> Matrix(19,-27,12,-17) Matrix(9921,-24025,4096,-9919) -> Matrix(163,-243,108,-161) Matrix(373,-961,144,-371) -> Matrix(1,-7,0,1) Matrix(1053,-2759,308,-807) -> Matrix(3,-1,4,-1) Matrix(433,-1147,94,-249) -> Matrix(3,1,2,1) Matrix(931,-2542,204,-557) -> Matrix(1,0,0,1) Matrix(3163,-8649,1156,-3161) -> Matrix(1,-3,0,1) Matrix(683,-2294,92,-309) -> Matrix(1,4,0,1) Matrix(433,-1457,74,-249) -> Matrix(1,-1,2,-1) Matrix(7131,-24025,2116,-7129) -> Matrix(1,-1,0,1) Matrix(559,-1891,128,-433) -> Matrix(3,-1,4,-1) Matrix(2419,-8649,676,-2417) -> Matrix(31,-45,20,-29) Matrix(187,-713,16,-61) -> Matrix(1,-3,0,1) Matrix(249,-961,64,-247) -> Matrix(1,-15,0,1) Matrix(249,-1178,26,-123) -> Matrix(1,-2,2,-3) Matrix(187,-961,36,-185) -> Matrix(1,-19,0,1) Matrix(125,-961,16,-123) -> Matrix(1,-23,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 3 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 2 Genus: 0 Degree of H/liftables -> H/(image of liftables): 160 ----------------------------------------------------------------------- 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 1 1 1/1 0/1 1 31 8/7 -1/3 1 31 7/6 1/2 1 31 6/5 1/1 1 31 23/19 4/1 1 31 17/14 -1/2 1 31 11/9 0/1 1 31 27/22 1/2 1 31 16/13 -3/1 1 31 21/17 0/1 1 31 5/4 1/4 1 31 14/11 1/3 1 31 23/18 3/10 1 31 32/25 1/3 1 31 9/7 2/5 1 31 31/24 1/2 7 1 13/10 1/2 1 31 30/23 1/1 1 31 47/36 9/8 1 31 17/13 0/1 1 31 21/16 1/0 1 31 4/3 1/1 1 31 19/14 1/2 1 31 15/11 4/11 1 31 11/8 1/0 1 31 18/13 1/3 1 31 61/44 1/4 1 31 43/31 2/7 1 31 25/18 1/2 1 31 32/23 1/3 1 31 7/5 2/5 1 31 31/22 1/2 9 1 17/12 5/8 1 31 27/19 4/5 1 31 37/26 1/2 1 31 10/7 1/1 1 31 33/23 0/1 1 31 23/16 1/4 1 31 13/9 0/1 1 31 16/11 5/9 1 31 19/13 0/1 1 31 22/15 1/1 1 31 3/2 1/2 1 31 31/20 1/2 9 1 14/9 5/9 1 31 25/16 5/8 1 31 11/7 2/3 1 31 52/33 1/1 1 31 93/59 1/1 3 1 41/26 1/2 1 31 71/45 2/3 1 31 30/19 1/1 1 31 49/31 0/1 1 31 19/12 3/4 1 31 27/17 4/5 1 31 8/5 1/3 1 31 37/23 2/3 1 31 66/41 7/11 1 31 29/18 7/10 1 31 21/13 2/3 1 31 13/8 3/4 1 31 31/19 1/1 5 1 18/11 1/1 1 31 23/14 3/2 1 31 28/17 1/1 1 31 5/3 2/3 1 31 32/19 1/1 1 31 27/16 1/0 1 31 22/13 1/1 1 31 39/23 -4/1 1 31 17/10 1/2 1 31 46/27 1/9 1 31 29/17 0/1 1 31 12/7 1/3 1 31 31/18 1/2 5 1 7/4 3/4 1 31 23/13 8/9 1 31 16/9 3/1 1 31 41/23 0/1 1 31 25/14 1/2 1 31 93/52 1/2 11 1 34/19 5/9 1 31 9/5 2/3 1 31 20/11 1/1 1 31 31/17 1/1 11 1 11/6 3/2 1 31 13/7 0/1 1 31 15/8 7/8 1 31 2/1 1/1 1 31 13/6 3/2 1 31 11/5 2/1 1 31 31/14 1/0 3 1 9/4 1/0 1 31 34/15 1/1 1 31 93/41 0/1 1 1 59/26 1/2 1 31 84/37 1/1 1 31 25/11 0/1 1 31 66/29 1/3 1 31 41/18 1/2 1 31 16/7 5/7 1 31 39/17 12/13 1 31 62/27 1/1 19 1 23/10 7/6 1 31 30/13 1/1 1 31 7/3 0/1 1 31 33/14 1/2 1 31 217/92 3/4 1 1 92/39 1/1 1 31 59/25 2/3 1 31 26/11 5/7 1 31 19/8 7/8 1 31 31/13 1/1 13 1 12/5 1/1 1 31 53/22 3/2 1 31 41/17 4/3 1 31 29/12 11/8 1 31 46/19 25/17 1 31 155/64 3/2 27 1 63/26 3/2 1 31 17/7 2/1 1 31 5/2 3/2 1 31 31/12 1/0 7 1 13/5 -2/1 1 31 47/18 -5/6 1 31 34/13 -1/1 1 31 123/47 0/1 1 31 89/34 -1/2 1 31 55/21 0/1 1 31 21/8 1/0 1 31 71/27 0/1 1 31 50/19 -1/1 1 31 29/11 0/1 1 31 124/47 0/1 15 1 95/36 1/12 1 31 66/25 1/5 1 31 37/14 1/2 1 31 8/3 1/3 1 31 35/13 4/5 1 31 62/23 1/1 7 1 27/10 3/2 1 31 46/17 5/1 1 31 19/7 0/1 1 31 49/18 1/2 1 31 30/11 1/1 1 31 41/15 2/1 1 31 93/34 1/0 3 1 11/4 1/0 1 31 14/5 1/1 1 31 31/11 1/1 11 1 17/6 7/6 1 31 20/7 1/1 1 31 23/8 7/4 1 31 3/1 2/1 1 31 22/7 -1/1 1 31 19/6 -1/2 1 31 16/5 -1/5 1 31 29/9 0/1 1 31 13/4 1/0 1 31 10/3 1/1 1 31 37/11 0/1 1 31 64/19 1/1 1 31 155/46 1/0 1 1 27/8 1/0 1 31 44/13 1/3 1 31 61/18 1/2 1 31 17/5 2/3 1 31 41/12 3/4 1 31 24/7 1/1 1 31 31/9 1/1 9 1 7/2 3/2 1 31 25/7 4/3 1 31 93/26 3/2 5 1 43/12 7/4 1 31 18/5 1/1 1 31 47/13 16/11 1 31 29/8 7/4 1 31 69/19 12/7 1 31 40/11 9/5 1 31 11/3 2/1 1 31 37/10 3/2 1 31 63/17 2/1 1 31 26/7 5/3 1 31 93/25 2/1 13 1 67/18 21/10 1 31 41/11 2/1 1 31 56/15 7/3 1 31 15/4 11/4 1 31 34/9 3/1 1 31 53/14 7/2 1 31 19/5 4/1 1 31 61/16 1/0 1 31 42/11 5/1 1 31 23/6 13/2 1 31 31/8 1/0 15 1 4/1 -1/1 1 31 17/4 3/4 1 31 47/11 10/11 1 31 124/29 1/1 25 1 77/18 15/14 1 31 30/7 1/1 1 31 13/3 0/1 1 31 35/8 3/4 1 31 22/5 1/1 1 31 31/7 1/1 7 1 9/2 3/2 1 31 41/9 2/1 1 31 32/7 1/1 1 31 23/5 6/5 1 31 37/8 5/4 1 31 14/3 5/3 1 31 47/10 13/6 1 31 33/7 2/1 1 31 52/11 1/1 1 31 19/4 7/4 1 31 5/1 4/1 1 31 31/6 1/0 19 1 21/4 1/0 1 31 16/3 -7/3 1 31 11/2 -1/2 1 31 17/3 0/1 1 31 23/4 1/4 1 31 29/5 0/1 1 31 6/1 1/1 1 31 31/5 1/1 5 1 25/4 5/4 1 31 19/3 2/1 1 31 13/2 3/2 1 31 20/3 1/1 1 31 27/4 1/0 1 31 7/1 2/1 1 31 22/3 5/1 1 31 37/5 4/1 1 31 15/2 13/2 1 31 31/4 1/0 23 1 8/1 -5/1 1 31 9/1 0/1 1 31 19/2 -1/2 1 31 10/1 1/1 1 31 11/1 2/1 1 31 1/0 1/0 1 31 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(247,-279,54,-61) (1/1,8/7) -> (32/7,23/5) Glide Reflection Matrix(187,-217,106,-123) (8/7,7/6) -> (7/4,23/13) Hyperbolic Matrix(185,-217,52,-61) (7/6,6/5) -> (7/2,25/7) Glide Reflection Matrix(743,-899,462,-559) (6/5,23/19) -> (8/5,37/23) Hyperbolic Matrix(869,-1054,512,-621) (23/19,17/14) -> (39/23,17/10) Glide Reflection Matrix(433,-527,152,-185) (17/14,11/9) -> (17/6,20/7) Glide Reflection Matrix(683,-837,102,-125) (11/9,27/22) -> (20/3,27/4) Glide Reflection Matrix(1363,-1674,504,-619) (27/22,16/13) -> (27/10,46/17) Glide Reflection Matrix(805,-992,452,-557) (16/13,21/17) -> (16/9,41/23) Glide Reflection Matrix(1303,-1612,350,-433) (21/17,5/4) -> (67/18,41/11) Hyperbolic Matrix(123,-155,50,-63) (5/4,14/11) -> (17/7,5/2) Hyperbolic Matrix(559,-713,98,-125) (14/11,23/18) -> (17/3,23/4) Glide Reflection Matrix(1115,-1426,484,-619) (23/18,32/25) -> (23/10,30/13) Glide Reflection Matrix(1985,-2542,1258,-1611) (32/25,9/7) -> (71/45,30/19) Hyperbolic Matrix(433,-558,336,-433) (9/7,31/24) -> (9/7,31/24) Reflection Matrix(311,-403,240,-311) (31/24,13/10) -> (31/24,13/10) Reflection Matrix(1427,-1860,524,-683) (13/10,30/23) -> (49/18,30/11) Glide Reflection Matrix(2851,-3720,666,-869) (30/23,47/36) -> (77/18,30/7) Hyperbolic Matrix(1115,-1457,238,-311) (47/36,17/13) -> (14/3,47/10) Hyperbolic Matrix(805,-1054,236,-309) (17/13,21/16) -> (17/5,41/12) Glide Reflection Matrix(1179,-1550,518,-681) (21/16,4/3) -> (66/29,41/18) Hyperbolic Matrix(435,-589,274,-371) (4/3,19/14) -> (19/12,27/17) Hyperbolic Matrix(433,-589,136,-185) (19/14,15/11) -> (19/6,16/5) Glide Reflection Matrix(249,-341,46,-63) (15/11,11/8) -> (16/3,11/2) Glide Reflection Matrix(247,-341,134,-185) (11/8,18/13) -> (11/6,13/7) Glide Reflection Matrix(2729,-3782,806,-1117) (18/13,61/44) -> (44/13,61/18) Glide Reflection Matrix(2727,-3782,716,-993) (61/44,43/31) -> (19/5,61/16) Hyperbolic Matrix(1117,-1550,178,-247) (43/31,25/18) -> (25/4,19/3) Hyperbolic Matrix(1985,-2759,536,-745) (25/18,32/23) -> (37/10,63/17) Glide Reflection Matrix(311,-434,134,-187) (32/23,7/5) -> (30/13,7/3) Glide Reflection Matrix(309,-434,220,-309) (7/5,31/22) -> (7/5,31/22) Reflection Matrix(373,-527,264,-373) (31/22,17/12) -> (31/22,17/12) Reflection Matrix(371,-527,88,-125) (17/12,27/19) -> (4/1,17/4) Hyperbolic Matrix(2419,-3441,916,-1303) (27/19,37/26) -> (66/25,37/14) Glide Reflection Matrix(1241,-1767,696,-991) (37/26,10/7) -> (41/23,25/14) Hyperbolic Matrix(1427,-2046,302,-433) (10/7,33/23) -> (33/7,52/11) Hyperbolic Matrix(993,-1426,172,-247) (33/23,23/16) -> (23/4,29/5) Hyperbolic Matrix(495,-713,302,-435) (23/16,13/9) -> (18/11,23/14) Hyperbolic Matrix(621,-899,172,-249) (13/9,16/11) -> (18/5,47/13) Glide Reflection Matrix(807,-1178,298,-435) (16/11,19/13) -> (46/17,19/7) Glide Reflection Matrix(1673,-2449,636,-931) (19/13,22/15) -> (71/27,50/19) Hyperbolic Matrix(1053,-1550,464,-683) (22/15,3/2) -> (59/26,84/37) Hyperbolic Matrix(61,-93,40,-61) (3/2,31/20) -> (3/2,31/20) Reflection Matrix(559,-868,360,-559) (31/20,14/9) -> (31/20,14/9) Reflection Matrix(557,-868,120,-187) (14/9,25/16) -> (37/8,14/3) Hyperbolic Matrix(435,-682,118,-185) (25/16,11/7) -> (11/3,37/10) Hyperbolic Matrix(433,-682,40,-63) (11/7,52/33) -> (10/1,11/1) Hyperbolic Matrix(6137,-9672,3894,-6137) (52/33,93/59) -> (52/33,93/59) Reflection Matrix(4837,-7626,3068,-4837) (93/59,41/26) -> (93/59,41/26) Reflection Matrix(2791,-4402,1062,-1675) (41/26,71/45) -> (21/8,71/27) Glide Reflection Matrix(1177,-1860,274,-433) (30/19,49/31) -> (30/7,13/3) Glide Reflection Matrix(1549,-2449,432,-683) (49/31,19/12) -> (43/12,18/5) Hyperbolic Matrix(311,-496,116,-185) (27/17,8/5) -> (8/3,35/13) Hyperbolic Matrix(2543,-4092,1118,-1799) (37/23,66/41) -> (25/11,66/29) Glide Reflection Matrix(5083,-8184,1926,-3101) (66/41,29/18) -> (95/36,66/25) Hyperbolic Matrix(1115,-1798,462,-745) (29/18,21/13) -> (41/17,29/12) Hyperbolic Matrix(249,-403,76,-123) (21/13,13/8) -> (13/4,10/3) Hyperbolic Matrix(495,-806,304,-495) (13/8,31/19) -> (13/8,31/19) Reflection Matrix(683,-1116,418,-683) (31/19,18/11) -> (31/19,18/11) Reflection Matrix(433,-713,150,-247) (23/14,28/17) -> (23/8,3/1) Glide Reflection Matrix(619,-1023,262,-433) (28/17,5/3) -> (59/25,26/11) Glide Reflection Matrix(683,-1147,184,-309) (5/3,32/19) -> (63/17,26/7) Hyperbolic Matrix(3659,-6169,1398,-2357) (32/19,27/16) -> (123/47,89/34) Glide Reflection Matrix(807,-1364,184,-311) (27/16,22/13) -> (35/8,22/5) Glide Reflection Matrix(311,-527,36,-61) (22/13,39/23) -> (8/1,9/1) Hyperbolic Matrix(929,-1581,218,-371) (17/10,46/27) -> (17/4,47/11) Glide Reflection Matrix(1055,-1798,328,-559) (46/27,29/17) -> (16/5,29/9) Glide Reflection Matrix(1053,-1798,400,-683) (29/17,12/7) -> (50/19,29/11) Hyperbolic Matrix(433,-744,252,-433) (12/7,31/18) -> (12/7,31/18) Reflection Matrix(125,-217,72,-125) (31/18,7/4) -> (31/18,7/4) Reflection Matrix(559,-992,244,-433) (23/13,16/9) -> (16/7,39/17) Hyperbolic Matrix(1301,-2325,728,-1301) (25/14,93/52) -> (25/14,93/52) Reflection Matrix(3535,-6324,1976,-3535) (93/52,34/19) -> (93/52,34/19) Reflection Matrix(433,-775,138,-247) (34/19,9/5) -> (3/1,22/7) Glide Reflection Matrix(495,-899,136,-247) (9/5,20/11) -> (40/11,11/3) Glide Reflection Matrix(681,-1240,374,-681) (20/11,31/17) -> (20/11,31/17) Reflection Matrix(373,-682,204,-373) (31/17,11/6) -> (31/17,11/6) Reflection Matrix(433,-806,166,-309) (13/7,15/8) -> (13/5,47/18) Glide Reflection Matrix(311,-589,66,-125) (15/8,2/1) -> (47/10,33/7) Glide Reflection Matrix(187,-403,58,-125) (2/1,13/6) -> (29/9,13/4) Glide Reflection Matrix(185,-403,28,-61) (13/6,11/5) -> (13/2,20/3) Glide Reflection Matrix(309,-682,140,-309) (11/5,31/14) -> (11/5,31/14) Reflection Matrix(125,-279,56,-125) (31/14,9/4) -> (31/14,9/4) Reflection Matrix(931,-2108,246,-557) (9/4,34/15) -> (34/9,53/14) Hyperbolic Matrix(2789,-6324,1230,-2789) (34/15,93/41) -> (34/15,93/41) Reflection Matrix(4837,-10974,2132,-4837) (93/41,59/26) -> (93/41,59/26) Reflection Matrix(1611,-3658,218,-495) (84/37,25/11) -> (22/3,37/5) Glide Reflection Matrix(435,-992,82,-187) (41/18,16/7) -> (21/4,16/3) Glide Reflection Matrix(2107,-4836,918,-2107) (39/17,62/27) -> (39/17,62/27) Reflection Matrix(1241,-2852,540,-1241) (62/27,23/10) -> (62/27,23/10) Reflection Matrix(1053,-2480,290,-683) (7/3,33/14) -> (29/8,69/19) Hyperbolic Matrix(3037,-7161,1288,-3037) (33/14,217/92) -> (33/14,217/92) Reflection Matrix(16927,-39928,7176,-16927) (217/92,92/39) -> (217/92,92/39) Reflection Matrix(4401,-10385,1682,-3969) (92/39,59/25) -> (34/13,123/47) Hyperbolic Matrix(249,-589,52,-123) (26/11,19/8) -> (19/4,5/1) Hyperbolic Matrix(495,-1178,208,-495) (19/8,31/13) -> (19/8,31/13) Reflection Matrix(311,-744,130,-311) (31/13,12/5) -> (31/13,12/5) Reflection Matrix(683,-1643,180,-433) (12/5,53/22) -> (53/14,19/5) Hyperbolic Matrix(1055,-2542,232,-559) (53/22,41/17) -> (9/2,41/9) Glide Reflection Matrix(1115,-2697,308,-745) (29/12,46/19) -> (47/13,29/8) Hyperbolic Matrix(5889,-14260,2432,-5889) (46/19,155/64) -> (46/19,155/64) Reflection Matrix(4031,-9765,1664,-4031) (155/64,63/26) -> (155/64,63/26) Reflection Matrix(869,-2108,256,-621) (63/26,17/7) -> (61/18,17/5) Glide Reflection Matrix(61,-155,24,-61) (5/2,31/12) -> (5/2,31/12) Reflection Matrix(311,-806,120,-311) (31/12,13/5) -> (31/12,13/5) Reflection Matrix(807,-2108,214,-559) (47/18,34/13) -> (15/4,34/9) Glide Reflection Matrix(805,-2108,118,-309) (89/34,55/21) -> (27/4,7/1) Glide Reflection Matrix(1053,-2759,308,-807) (55/21,21/8) -> (41/12,24/7) Hyperbolic Matrix(2727,-7192,1034,-2727) (29/11,124/47) -> (29/11,124/47) Reflection Matrix(8929,-23560,3384,-8929) (124/47,95/36) -> (124/47,95/36) Reflection Matrix(433,-1147,94,-249) (37/14,8/3) -> (23/5,37/8) Hyperbolic Matrix(1611,-4340,598,-1611) (35/13,62/23) -> (35/13,62/23) Reflection Matrix(1241,-3348,460,-1241) (62/23,27/10) -> (62/23,27/10) Reflection Matrix(433,-1178,68,-185) (19/7,49/18) -> (19/3,13/2) Glide Reflection Matrix(931,-2542,204,-557) (30/11,41/15) -> (41/9,32/7) Hyperbolic Matrix(2789,-7626,1020,-2789) (41/15,93/34) -> (41/15,93/34) Reflection Matrix(373,-1023,136,-373) (93/34,11/4) -> (93/34,11/4) Reflection Matrix(123,-341,22,-61) (11/4,14/5) -> (11/2,17/3) Glide Reflection Matrix(309,-868,110,-309) (14/5,31/11) -> (14/5,31/11) Reflection Matrix(373,-1054,132,-373) (31/11,17/6) -> (31/11,17/6) Reflection Matrix(497,-1426,130,-373) (20/7,23/8) -> (42/11,23/6) Glide Reflection Matrix(187,-589,20,-63) (22/7,19/6) -> (9/1,19/2) Glide Reflection Matrix(619,-2077,166,-557) (10/3,37/11) -> (41/11,56/15) Glide Reflection Matrix(433,-1457,74,-249) (37/11,64/19) -> (29/5,6/1) Hyperbolic Matrix(5889,-19840,1748,-5889) (64/19,155/46) -> (64/19,155/46) Reflection Matrix(1241,-4185,368,-1241) (155/46,27/8) -> (155/46,27/8) Reflection Matrix(559,-1891,128,-433) (27/8,44/13) -> (13/3,35/8) Hyperbolic Matrix(433,-1488,126,-433) (24/7,31/9) -> (24/7,31/9) Reflection Matrix(125,-434,36,-125) (31/9,7/2) -> (31/9,7/2) Reflection Matrix(1301,-4650,364,-1301) (25/7,93/26) -> (25/7,93/26) Reflection Matrix(1117,-3999,312,-1117) (93/26,43/12) -> (93/26,43/12) Reflection Matrix(495,-1798,68,-247) (69/19,40/11) -> (7/1,22/3) Glide Reflection Matrix(1301,-4836,350,-1301) (26/7,93/25) -> (26/7,93/25) Reflection Matrix(3349,-12462,900,-3349) (93/25,67/18) -> (93/25,67/18) Reflection Matrix(373,-1395,50,-187) (56/15,15/4) -> (37/5,15/2) Glide Reflection Matrix(187,-713,16,-61) (61/16,42/11) -> (11/1,1/0) Hyperbolic Matrix(185,-713,48,-185) (23/6,31/8) -> (23/6,31/8) Reflection Matrix(63,-248,16,-63) (31/8,4/1) -> (31/8,4/1) Reflection Matrix(2727,-11656,638,-2727) (47/11,124/29) -> (47/11,124/29) Reflection Matrix(4465,-19096,1044,-4465) (124/29,77/18) -> (124/29,77/18) Reflection Matrix(309,-1364,70,-309) (22/5,31/7) -> (22/5,31/7) Reflection Matrix(125,-558,28,-125) (31/7,9/2) -> (31/7,9/2) Reflection Matrix(249,-1178,26,-123) (52/11,19/4) -> (19/2,10/1) Hyperbolic Matrix(61,-310,12,-61) (5/1,31/6) -> (5/1,31/6) Reflection Matrix(125,-651,24,-125) (31/6,21/4) -> (31/6,21/4) Reflection Matrix(61,-372,10,-61) (6/1,31/5) -> (6/1,31/5) Reflection Matrix(249,-1550,40,-249) (31/5,25/4) -> (31/5,25/4) Reflection Matrix(61,-465,8,-61) (15/2,31/4) -> (15/2,31/4) Reflection Matrix(63,-496,8,-63) (31/4,8/1) -> (31/4,8/1) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Matrix(1,0,2,-1) -> Matrix(1,0,2,-1) (0/1,1/1) -> (0/1,1/1) Matrix(247,-279,54,-61) -> Matrix(3,-1,2,-1) Matrix(187,-217,106,-123) -> Matrix(5,-1,6,-1) Matrix(185,-217,52,-61) -> Matrix(5,-1,4,-1) Matrix(743,-899,462,-559) -> Matrix(1,-3,2,-5) Matrix(869,-1054,512,-621) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(433,-527,152,-185) -> Matrix(5,-1,4,-1) Matrix(683,-837,102,-125) -> Matrix(3,-1,2,-1) Matrix(1363,-1674,504,-619) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(805,-992,452,-557) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1303,-1612,350,-433) -> Matrix(13,2,6,1) Matrix(123,-155,50,-63) -> Matrix(1,-1,2,-1) (0/1,1/1).(1/2,1/0) Matrix(559,-713,98,-125) -> Matrix(3,-1,2,-1) Matrix(1115,-1426,484,-619) -> Matrix(11,-4,8,-3) Matrix(1985,-2542,1258,-1611) -> Matrix(11,-4,14,-5) Matrix(433,-558,336,-433) -> Matrix(9,-4,20,-9) (9/7,31/24) -> (2/5,1/2) Matrix(311,-403,240,-311) -> Matrix(5,-3,8,-5) (31/24,13/10) -> (1/2,3/4) Matrix(1427,-1860,524,-683) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(2851,-3720,666,-869) -> Matrix(7,-6,6,-5) 1/1 Matrix(1115,-1457,238,-311) -> Matrix(3,-5,2,-3) (1/1,2/1).(3/2,1/0) Matrix(805,-1054,236,-309) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(1179,-1550,518,-681) -> Matrix(1,0,2,1) 0/1 Matrix(435,-589,274,-371) -> Matrix(5,-1,6,-1) Matrix(433,-589,136,-185) -> Matrix(3,-1,-4,1) Matrix(249,-341,46,-63) -> Matrix(1,-1,-2,1) Matrix(247,-341,134,-185) -> Matrix(3,-1,2,-1) Matrix(2729,-3782,806,-1117) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(2727,-3782,716,-993) -> Matrix(23,-6,4,-1) Matrix(1117,-1550,178,-247) -> Matrix(13,-4,10,-3) Matrix(1985,-2759,536,-745) -> Matrix(5,-1,4,-1) Matrix(311,-434,134,-187) -> Matrix(5,-2,2,-1) Matrix(309,-434,220,-309) -> Matrix(9,-4,20,-9) (7/5,31/22) -> (2/5,1/2) Matrix(373,-527,264,-373) -> Matrix(9,-5,16,-9) (31/22,17/12) -> (1/2,5/8) Matrix(371,-527,88,-125) -> Matrix(1,-1,4,-3) 1/2 Matrix(2419,-3441,916,-1303) -> Matrix(-1,1,0,1) *** -> (1/2,1/0) Matrix(1241,-1767,696,-991) -> Matrix(1,-1,4,-3) 1/2 Matrix(1427,-2046,302,-433) -> Matrix(3,-2,2,-1) 1/1 Matrix(993,-1426,172,-247) -> Matrix(1,0,0,1) Matrix(495,-713,302,-435) -> Matrix(1,-1,2,-1) (0/1,1/1).(1/2,1/0) Matrix(621,-899,172,-249) -> Matrix(5,-1,4,-1) Matrix(807,-1178,298,-435) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1673,-2449,636,-931) -> Matrix(1,-1,0,1) 1/0 Matrix(1053,-1550,464,-683) -> Matrix(1,0,0,1) Matrix(61,-93,40,-61) -> Matrix(-1,1,0,1) (3/2,31/20) -> (1/2,1/0) Matrix(559,-868,360,-559) -> Matrix(19,-10,36,-19) (31/20,14/9) -> (1/2,5/9) Matrix(557,-868,120,-187) -> Matrix(17,-10,12,-7) Matrix(435,-682,118,-185) -> Matrix(7,-4,2,-1) Matrix(433,-682,40,-63) -> Matrix(5,-4,4,-3) 1/1 Matrix(6137,-9672,3894,-6137) -> Matrix(9,-8,10,-9) (52/33,93/59) -> (4/5,1/1) Matrix(4837,-7626,3068,-4837) -> Matrix(3,-2,4,-3) (93/59,41/26) -> (1/2,1/1) Matrix(2791,-4402,1062,-1675) -> Matrix(3,-2,-2,1) Matrix(1177,-1860,274,-433) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1549,-2449,432,-683) -> Matrix(1,1,0,1) 1/0 Matrix(311,-496,116,-185) -> Matrix(1,0,0,1) Matrix(2543,-4092,1118,-1799) -> Matrix(3,-2,-2,1) Matrix(5083,-8184,1926,-3101) -> Matrix(3,-2,26,-17) Matrix(1115,-1798,462,-745) -> Matrix(7,-6,6,-5) 1/1 Matrix(249,-403,76,-123) -> Matrix(1,-1,4,-3) 1/2 Matrix(495,-806,304,-495) -> Matrix(7,-6,8,-7) (13/8,31/19) -> (3/4,1/1) Matrix(683,-1116,418,-683) -> Matrix(3,-4,2,-3) (31/19,18/11) -> (1/1,2/1) Matrix(433,-713,150,-247) -> Matrix(3,-1,2,-1) Matrix(619,-1023,262,-433) -> Matrix(1,1,2,1) Matrix(683,-1147,184,-309) -> Matrix(1,1,0,1) 1/0 Matrix(3659,-6169,1398,-2357) -> Matrix(1,-1,-2,1) Matrix(807,-1364,184,-311) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(311,-527,36,-61) -> Matrix(1,-1,0,1) 1/0 Matrix(929,-1581,218,-371) -> Matrix(1,1,2,1) Matrix(1055,-1798,328,-559) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1053,-1798,400,-683) -> Matrix(1,0,-4,1) 0/1 Matrix(433,-744,252,-433) -> Matrix(5,-2,12,-5) (12/7,31/18) -> (1/3,1/2) Matrix(125,-217,72,-125) -> Matrix(5,-3,8,-5) (31/18,7/4) -> (1/2,3/4) Matrix(559,-992,244,-433) -> Matrix(3,-4,4,-5) 1/1 Matrix(1301,-2325,728,-1301) -> Matrix(3,-1,8,-3) (25/14,93/52) -> (1/4,1/2) Matrix(3535,-6324,1976,-3535) -> Matrix(19,-10,36,-19) (93/52,34/19) -> (1/2,5/9) Matrix(433,-775,138,-247) -> Matrix(5,-3,-2,1) Matrix(495,-899,136,-247) -> Matrix(15,-13,8,-7) Matrix(681,-1240,374,-681) -> Matrix(17,-16,18,-17) (20/11,31/17) -> (8/9,1/1) Matrix(373,-682,204,-373) -> Matrix(5,-6,4,-5) (31/17,11/6) -> (1/1,3/2) Matrix(433,-806,166,-309) -> Matrix(3,-2,-2,1) Matrix(311,-589,66,-125) -> Matrix(3,-1,2,-1) Matrix(187,-403,58,-125) -> Matrix(1,-1,2,-3) Matrix(185,-403,28,-61) -> Matrix(-1,3,0,1) *** -> (3/2,1/0) Matrix(309,-682,140,-309) -> Matrix(-1,4,0,1) (11/5,31/14) -> (2/1,1/0) Matrix(125,-279,56,-125) -> Matrix(-1,1,0,1) (31/14,9/4) -> (1/2,1/0) Matrix(931,-2108,246,-557) -> Matrix(7,-4,2,-1) Matrix(2789,-6324,1230,-2789) -> Matrix(1,0,2,-1) (34/15,93/41) -> (0/1,1/1) Matrix(4837,-10974,2132,-4837) -> Matrix(1,0,4,-1) (93/41,59/26) -> (0/1,1/2) Matrix(1611,-3658,218,-495) -> Matrix(9,-4,2,-1) Matrix(435,-992,82,-187) -> Matrix(7,-4,-2,1) Matrix(2107,-4836,918,-2107) -> Matrix(25,-24,26,-25) (39/17,62/27) -> (12/13,1/1) Matrix(1241,-2852,540,-1241) -> Matrix(13,-14,12,-13) (62/27,23/10) -> (1/1,7/6) Matrix(1053,-2480,290,-683) -> Matrix(17,-12,10,-7) Matrix(3037,-7161,1288,-3037) -> Matrix(5,-3,8,-5) (33/14,217/92) -> (1/2,3/4) Matrix(16927,-39928,7176,-16927) -> Matrix(7,-6,8,-7) (217/92,92/39) -> (3/4,1/1) Matrix(4401,-10385,1682,-3969) -> Matrix(1,-1,2,-1) (0/1,1/1).(1/2,1/0) Matrix(249,-589,52,-123) -> Matrix(9,-7,4,-3) Matrix(495,-1178,208,-495) -> Matrix(15,-14,16,-15) (19/8,31/13) -> (7/8,1/1) Matrix(311,-744,130,-311) -> Matrix(11,-12,10,-11) (31/13,12/5) -> (1/1,6/5) Matrix(683,-1643,180,-433) -> Matrix(15,-19,4,-5) Matrix(1055,-2542,232,-559) -> Matrix(5,-6,4,-5) *** -> (1/1,3/2) Matrix(1115,-2697,308,-745) -> Matrix(19,-27,12,-17) 3/2 Matrix(5889,-14260,2432,-5889) -> Matrix(101,-150,68,-101) (46/19,155/64) -> (25/17,3/2) Matrix(4031,-9765,1664,-4031) -> Matrix(61,-93,40,-61) (155/64,63/26) -> (3/2,31/20) Matrix(869,-2108,256,-621) -> Matrix(5,-8,8,-13) Matrix(61,-155,24,-61) -> Matrix(-1,3,0,1) (5/2,31/12) -> (3/2,1/0) Matrix(311,-806,120,-311) -> Matrix(1,4,0,-1) (31/12,13/5) -> (-2/1,1/0) Matrix(807,-2108,214,-559) -> Matrix(7,4,2,1) Matrix(805,-2108,118,-309) -> Matrix(3,2,2,1) Matrix(1053,-2759,308,-807) -> Matrix(3,-1,4,-1) 1/2 Matrix(2727,-7192,1034,-2727) -> Matrix(-1,0,6,1) (29/11,124/47) -> (-1/3,0/1) Matrix(8929,-23560,3384,-8929) -> Matrix(1,0,24,-1) (124/47,95/36) -> (0/1,1/12) Matrix(433,-1147,94,-249) -> Matrix(3,1,2,1) Matrix(1611,-4340,598,-1611) -> Matrix(9,-8,10,-9) (35/13,62/23) -> (4/5,1/1) Matrix(1241,-3348,460,-1241) -> Matrix(5,-6,4,-5) (62/23,27/10) -> (1/1,3/2) Matrix(433,-1178,68,-185) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(931,-2542,204,-557) -> Matrix(1,0,0,1) Matrix(2789,-7626,1020,-2789) -> Matrix(-1,4,0,1) (41/15,93/34) -> (2/1,1/0) Matrix(373,-1023,136,-373) -> Matrix(-1,1,0,1) (93/34,11/4) -> (1/2,1/0) Matrix(123,-341,22,-61) -> Matrix(1,-1,-2,1) Matrix(309,-868,110,-309) -> Matrix(9,-8,10,-9) (14/5,31/11) -> (4/5,1/1) Matrix(373,-1054,132,-373) -> Matrix(13,-14,12,-13) (31/11,17/6) -> (1/1,7/6) Matrix(497,-1426,130,-373) -> Matrix(11,-16,2,-3) Matrix(187,-589,20,-63) -> Matrix(1,1,0,-1) *** -> (-1/2,1/0) Matrix(619,-2077,166,-557) -> Matrix(5,-7,2,-3) Matrix(433,-1457,74,-249) -> Matrix(1,-1,2,-1) (0/1,1/1).(1/2,1/0) Matrix(5889,-19840,1748,-5889) -> Matrix(-1,2,0,1) (64/19,155/46) -> (1/1,1/0) Matrix(1241,-4185,368,-1241) -> Matrix(-1,1,0,1) (155/46,27/8) -> (1/2,1/0) Matrix(559,-1891,128,-433) -> Matrix(3,-1,4,-1) 1/2 Matrix(433,-1488,126,-433) -> Matrix(13,-12,14,-13) (24/7,31/9) -> (6/7,1/1) Matrix(125,-434,36,-125) -> Matrix(5,-6,4,-5) (31/9,7/2) -> (1/1,3/2) Matrix(1301,-4650,364,-1301) -> Matrix(17,-24,12,-17) (25/7,93/26) -> (4/3,3/2) Matrix(1117,-3999,312,-1117) -> Matrix(13,-21,8,-13) (93/26,43/12) -> (3/2,7/4) Matrix(495,-1798,68,-247) -> Matrix(15,-26,4,-7) Matrix(1301,-4836,350,-1301) -> Matrix(11,-20,6,-11) (26/7,93/25) -> (5/3,2/1) Matrix(3349,-12462,900,-3349) -> Matrix(41,-84,20,-41) (93/25,67/18) -> (2/1,21/10) Matrix(373,-1395,50,-187) -> Matrix(11,-27,2,-5) Matrix(187,-713,16,-61) -> Matrix(1,-3,0,1) 1/0 Matrix(185,-713,48,-185) -> Matrix(-1,13,0,1) (23/6,31/8) -> (13/2,1/0) Matrix(63,-248,16,-63) -> Matrix(1,2,0,-1) (31/8,4/1) -> (-1/1,1/0) Matrix(2727,-11656,638,-2727) -> Matrix(21,-20,22,-21) (47/11,124/29) -> (10/11,1/1) Matrix(4465,-19096,1044,-4465) -> Matrix(29,-30,28,-29) (124/29,77/18) -> (1/1,15/14) Matrix(309,-1364,70,-309) -> Matrix(9,-8,10,-9) (22/5,31/7) -> (4/5,1/1) Matrix(125,-558,28,-125) -> Matrix(5,-6,4,-5) (31/7,9/2) -> (1/1,3/2) Matrix(249,-1178,26,-123) -> Matrix(1,-2,2,-3) 1/1 Matrix(61,-310,12,-61) -> Matrix(-1,8,0,1) (5/1,31/6) -> (4/1,1/0) Matrix(125,-651,24,-125) -> Matrix(1,11,0,-1) (31/6,21/4) -> (-11/2,1/0) Matrix(61,-372,10,-61) -> Matrix(1,0,2,-1) (6/1,31/5) -> (0/1,1/1) Matrix(249,-1550,40,-249) -> Matrix(9,-10,8,-9) (31/5,25/4) -> (1/1,5/4) Matrix(61,-465,8,-61) -> Matrix(-1,13,0,1) (15/2,31/4) -> (13/2,1/0) Matrix(63,-496,8,-63) -> Matrix(1,10,0,-1) (31/4,8/1) -> (-5/1,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.