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): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 128 Genus: 129 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -8/1 -15/2 -22/3 -20/3 -32/5 -6/1 -28/5 -16/3 -5/1 -24/5 -14/3 -32/7 -30/7 -4/1 -15/4 -26/7 -18/5 -24/7 -10/3 -36/11 -20/7 -25/9 -36/13 -30/11 -8/3 -34/13 -44/17 -100/39 -5/2 -12/5 -16/7 -20/9 -15/7 -2/1 -28/15 -20/11 -30/17 -12/7 -100/59 -5/3 -30/19 -20/13 -10/7 -4/3 -5/4 -20/17 -10/9 0/1 1/1 10/9 20/17 5/4 4/3 10/7 3/2 20/13 30/19 5/3 100/59 12/7 30/17 20/11 28/15 2/1 15/7 20/9 120/53 16/7 40/17 160/67 12/5 80/33 5/2 100/39 80/31 44/17 8/3 30/11 25/9 120/43 20/7 3/1 10/3 200/59 24/7 7/2 18/5 40/11 11/3 160/43 15/4 34/9 4/1 80/19 30/7 13/3 520/119 40/9 9/2 32/7 14/3 80/17 24/5 5/1 16/3 38/7 11/2 28/5 17/3 40/7 6/1 19/3 32/5 13/2 20/3 7/1 80/11 22/3 15/2 38/5 8/1 17/2 26/3 9/1 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 1/3 -19/2 1/2 2/3 -9/1 0/1 1/2 -17/2 0/1 1/3 -8/1 1/3 -23/3 1/3 2/5 -15/2 0/1 2/5 -22/3 1/2 -7/1 0/1 1/2 -20/3 1/3 -13/2 1/3 2/5 -32/5 2/5 -19/3 6/13 1/2 -25/4 0/1 -6/1 1/2 -17/3 0/1 1/3 -28/5 0/1 1/3 1/2 -11/2 1/3 1/2 -16/3 0/1 -21/4 0/1 1/2 -5/1 0/1 -24/5 1/3 -43/9 1/3 1/2 -19/4 2/5 1/2 -71/15 0/1 1/2 -52/11 0/1 1/1 1/0 -33/7 -1/2 0/1 -14/3 1/4 -23/5 1/3 2/5 -32/7 0/1 -41/9 0/1 1/3 -9/2 0/1 1/2 -22/5 1/4 -13/3 0/1 1/3 -43/10 1/4 1/3 -30/7 1/3 -17/4 0/1 1/3 -4/1 0/1 1/3 1/2 -23/6 0/1 1/3 -42/11 1/2 -19/5 0/1 1/4 -15/4 0/1 -41/11 0/1 1/3 -67/18 0/1 1/1 -26/7 1/4 -63/17 2/7 1/3 -37/10 1/3 1/2 -48/13 0/1 -11/3 1/4 1/3 -18/5 1/2 -61/17 2/5 1/2 -43/12 1/3 1/2 -25/7 0/1 2/5 -32/9 0/1 -39/11 0/1 1/3 -7/2 0/1 1/2 -38/11 1/4 -31/9 1/4 2/7 -55/16 2/7 -24/7 1/3 -41/12 0/1 1/3 -17/5 0/1 1/5 -10/3 1/3 -23/7 2/5 3/7 -59/18 1/2 8/15 -36/11 0/1 1/2 1/1 -13/4 0/1 1/3 -16/5 0/1 -19/6 0/1 1/4 -22/7 1/4 -25/8 0/1 2/7 -3/1 1/3 1/2 -20/7 1/3 -37/13 1/3 7/20 -17/6 1/3 4/11 -14/5 1/2 -53/19 1/3 4/11 -39/14 1/3 2/5 -25/9 2/5 -61/22 8/17 1/2 -36/13 0/1 1/3 1/2 -47/17 0/1 1/2 -58/21 1/2 -11/4 1/3 1/2 -52/19 0/1 1/3 1/2 -41/15 0/1 1/3 -30/11 1/3 -19/7 0/1 1/2 -8/3 1/3 -21/8 3/8 2/5 -34/13 3/8 -81/31 1/3 2/5 -47/18 2/5 1/2 -13/5 1/3 2/5 -44/17 3/8 5/13 2/5 -119/46 5/13 2/5 -75/29 2/5 -31/12 7/18 2/5 -18/7 1/2 -59/23 0/1 1/2 -100/39 1/3 -41/16 1/3 2/5 -23/9 1/3 2/5 -28/11 1/3 2/5 1/2 -33/13 2/5 5/12 -5/2 0/1 2/5 -32/13 2/5 -27/11 1/3 2/5 -22/9 1/2 -61/25 2/5 1/2 -100/41 1/3 -39/16 1/3 2/5 -17/7 5/13 2/5 -46/19 9/22 -75/31 2/5 -29/12 5/12 3/7 -99/41 5/12 18/43 -70/29 3/7 -41/17 2/5 3/7 -53/22 3/7 4/9 -12/5 2/5 3/7 1/2 -67/28 3/7 4/9 -55/23 2/5 4/9 -43/18 3/7 1/2 -74/31 1/2 -105/44 2/5 -31/13 2/5 1/2 -19/8 4/9 1/2 -45/19 4/9 -71/30 4/9 9/20 -26/11 1/2 -7/3 0/1 1/2 -44/19 0/1 1/3 1/2 -37/16 1/3 1/2 -30/13 1/3 -23/10 1/3 2/5 -39/17 1/3 2/5 -16/7 2/5 -41/18 2/5 3/7 -25/11 2/5 -34/15 5/12 -43/19 3/7 13/30 -52/23 3/7 7/16 4/9 -9/4 4/9 1/2 -20/9 1/2 -31/14 1/2 6/11 -42/19 1/2 -11/5 1/2 1/1 -24/11 1/3 -37/17 1/3 1/2 -13/6 1/3 2/5 -41/19 2/5 3/7 -28/13 2/5 3/7 1/2 -43/20 3/7 7/16 -15/7 2/5 4/9 -17/8 5/11 6/13 -2/1 1/2 -19/10 1/2 16/31 -17/9 6/11 5/9 -15/8 4/7 2/3 -43/23 7/12 3/5 -28/15 1/2 3/5 2/3 -13/7 2/3 1/1 -37/20 1/2 1/1 -24/13 1/1 -35/19 0/1 -11/6 1/3 1/2 -20/11 1/2 -29/16 1/2 9/17 -38/21 1/2 -9/5 1/2 4/7 -52/29 4/7 7/12 3/5 -43/24 13/22 3/5 -120/67 3/5 -77/43 3/5 23/38 -34/19 5/8 -25/14 2/3 -41/23 3/5 2/3 -16/9 2/3 -39/22 2/3 1/1 -23/13 2/3 1/1 -30/17 1/1 -37/21 1/2 1/1 -7/4 0/1 1/2 -40/23 1/2 -33/19 1/2 10/19 -26/15 1/2 -71/41 9/16 4/7 -45/26 4/7 -19/11 1/2 4/7 -50/29 3/5 -81/47 3/5 2/3 -31/18 1/2 2/3 -74/43 1/2 -117/68 1/2 3/5 -160/93 4/7 2/3 -43/25 1/2 3/5 -12/7 1/2 3/5 2/3 -53/31 4/7 3/5 -41/24 3/5 2/3 -70/41 3/5 -99/58 18/29 5/8 -29/17 3/5 5/8 -75/44 2/3 -121/71 7/11 2/3 -46/27 9/14 -63/37 23/35 2/3 -80/47 2/3 -17/10 2/3 5/7 -39/23 2/3 1/1 -100/59 1/1 -61/36 1/2 2/3 -22/13 1/2 -5/3 0/1 2/3 -38/23 1/2 -33/20 5/8 2/3 -28/17 1/2 2/3 1/1 -23/14 2/3 1/1 -41/25 2/3 1/1 -100/61 1/1 -59/36 0/1 1/2 -18/11 1/2 -49/30 9/14 2/3 -80/49 2/3 -31/19 2/3 7/10 -75/46 2/3 -119/73 2/3 5/7 -163/100 5/7 3/4 -44/27 2/3 5/7 3/4 -13/8 2/3 1/1 -60/37 1/1 -47/29 1/2 2/3 -81/50 2/3 1/1 -115/71 2/3 -34/21 3/4 -55/34 2/3 -21/13 2/3 3/4 -8/5 1/1 -19/12 0/1 1/2 -49/31 1/2 2/3 -30/19 1/1 -71/45 0/1 1/0 -41/26 0/1 1/1 -11/7 1/2 1/1 -47/30 0/1 1/2 -83/53 1/2 1/1 -119/76 0/1 1/1 -36/23 0/1 1/2 1/1 -61/39 1/2 8/15 -25/16 2/3 -39/25 2/3 1/1 -53/34 4/5 1/1 -120/77 1/1 -67/43 1/1 2/1 -14/9 1/2 -17/11 4/5 1/1 -20/13 1/1 -23/15 1/1 2/1 -3/2 1/2 1/1 -22/15 1/0 -19/13 0/1 1/0 -16/11 0/1 -29/20 1/3 1/2 -42/29 1/2 -55/38 0/1 2/3 -13/9 0/1 1/1 -10/7 1/1 -27/19 1/1 2/1 -44/31 2/1 3/1 1/0 -61/43 10/1 1/0 -200/141 1/0 -139/98 -20/1 1/0 -78/55 1/0 -17/12 -1/1 0/1 -41/29 0/1 1/1 -65/46 0/1 -24/17 1/1 -55/39 2/1 -31/22 2/1 1/0 -38/27 1/0 -45/32 -2/1 0/1 -7/5 0/1 1/2 -39/28 0/1 1/1 -32/23 0/1 -57/41 1/3 2/5 -25/18 0/1 2/3 -93/67 2/3 1/1 -68/49 0/1 1/2 1/1 -43/31 1/2 1/1 -61/44 1/2 2/3 -18/13 1/2 -29/21 3/4 1/1 -40/29 1/1 -11/8 1/1 1/0 -59/43 4/1 1/0 -48/35 0/1 -85/62 0/1 2/3 -122/89 1/2 -159/116 0/1 1/1 -37/27 1/2 1/1 -63/46 1/1 2/1 -89/65 3/2 2/1 -26/19 1/0 -93/68 -1/3 0/1 -160/117 0/1 -67/49 0/1 1/3 -41/30 0/1 1/1 -56/41 1/1 -15/11 0/1 -34/25 1/0 -19/14 0/1 1/0 -4/3 0/1 1/2 1/1 -21/16 0/1 1/0 -80/61 0/1 -59/45 0/1 1/4 -38/29 1/2 -55/42 0/1 2/3 -17/13 0/1 1/1 -30/23 1/1 -43/33 1/1 1/0 -13/10 0/1 1/1 -48/37 0/1 -83/64 1/1 1/0 -201/155 0/1 1/1 -520/401 1/1 -319/246 1/1 2/1 -118/91 1/0 -35/27 0/1 2/1 -22/17 1/0 -31/24 -1/2 0/1 -40/31 0/1 -9/7 0/1 1/2 -41/32 0/1 1/1 -32/25 0/1 -55/43 0/1 2/5 -23/18 2/3 1/1 -14/11 1/0 -47/37 -1/6 0/1 -80/63 0/1 -33/26 0/1 1/6 -52/41 0/1 1/4 1/3 -71/56 0/1 1/2 -19/15 1/2 2/3 -43/34 1/2 1/1 -24/19 1/1 -29/23 -1/1 1/0 -5/4 0/1 -21/17 0/1 1/2 -16/13 0/1 -27/22 0/1 1/3 -65/53 0/1 2/5 -38/31 1/2 -11/9 1/2 1/1 -39/32 0/1 1/1 -67/55 0/1 1/3 -28/23 0/1 1/2 1/1 -17/14 0/1 1/1 -40/33 0/1 -23/19 0/1 1/3 -6/5 1/2 -31/26 0/1 1/2 -25/21 0/1 -19/16 1/2 6/11 -51/43 1/2 3/5 -32/27 2/3 -13/11 2/3 1/1 -20/17 1/1 -27/23 0/1 1/1 -7/6 0/1 1/2 -29/25 1/2 1/1 -80/69 0/1 2/3 -51/44 1/2 1/1 -22/19 1/2 -37/32 3/4 1/1 -15/13 0/1 2/3 -38/33 1/2 -23/20 2/3 1/1 -8/7 1/1 -17/15 0/1 1/1 -26/23 1/0 -9/8 0/1 1/2 -19/17 2/5 1/2 -10/9 1/1 -1/1 0/1 1/1 0/1 0/1 1/1 0/1 1/5 10/9 1/5 19/17 1/4 2/7 9/8 0/1 1/4 17/15 0/1 1/5 8/7 1/5 23/20 1/5 2/9 15/13 0/1 2/9 22/19 1/4 7/6 0/1 1/4 20/17 1/5 13/11 1/5 2/9 32/27 2/9 19/16 6/25 1/4 25/21 0/1 6/5 1/4 17/14 0/1 1/5 28/23 0/1 1/5 1/4 11/9 1/5 1/4 16/13 0/1 21/17 0/1 1/4 5/4 0/1 24/19 1/5 43/34 1/5 1/4 19/15 2/9 1/4 71/56 0/1 1/4 52/41 0/1 1/3 1/2 33/26 0/1 1/0 14/11 1/6 23/18 1/5 2/9 32/25 0/1 41/32 0/1 1/5 9/7 0/1 1/4 22/17 1/6 13/10 0/1 1/5 43/33 1/6 1/5 30/23 1/5 17/13 0/1 1/5 4/3 0/1 1/5 1/4 23/17 0/1 1/5 42/31 1/4 19/14 0/1 1/6 15/11 0/1 41/30 0/1 1/5 67/49 0/1 1/3 26/19 1/6 63/46 2/11 1/5 37/27 1/5 1/4 48/35 0/1 11/8 1/6 1/5 18/13 1/4 61/44 2/9 1/4 43/31 1/5 1/4 25/18 0/1 2/9 32/23 0/1 39/28 0/1 1/5 7/5 0/1 1/4 38/27 1/6 31/22 1/6 2/11 55/39 2/11 24/17 1/5 41/29 0/1 1/5 17/12 0/1 1/7 10/7 1/5 23/16 2/9 3/13 59/41 1/4 8/31 36/25 0/1 1/4 1/3 13/9 0/1 1/5 16/11 0/1 19/13 0/1 1/6 22/15 1/6 25/17 0/1 2/11 3/2 1/5 1/4 20/13 1/5 37/24 1/5 7/34 17/11 1/5 4/19 14/9 1/4 53/34 1/5 4/19 39/25 1/5 2/9 25/16 2/9 61/39 8/33 1/4 36/23 0/1 1/5 1/4 47/30 0/1 1/4 58/37 1/4 11/7 1/5 1/4 52/33 0/1 1/5 1/4 41/26 0/1 1/5 30/19 1/5 19/12 0/1 1/4 8/5 1/5 21/13 3/14 2/9 34/21 3/14 81/50 1/5 2/9 47/29 2/9 1/4 13/8 1/5 2/9 44/27 3/14 5/23 2/9 119/73 5/23 2/9 75/46 2/9 31/19 7/32 2/9 18/11 1/4 59/36 0/1 1/4 100/61 1/5 41/25 1/5 2/9 23/14 1/5 2/9 28/17 1/5 2/9 1/4 33/20 2/9 5/22 5/3 0/1 2/9 32/19 2/9 27/16 1/5 2/9 22/13 1/4 61/36 2/9 1/4 100/59 1/5 39/23 1/5 2/9 17/10 5/23 2/9 46/27 9/40 75/44 2/9 29/17 5/22 3/13 99/58 5/22 18/79 70/41 3/13 41/24 2/9 3/13 53/31 3/13 4/17 12/7 2/9 3/13 1/4 67/39 3/13 4/17 55/32 2/9 4/17 43/25 3/13 1/4 74/43 1/4 105/61 2/9 31/18 2/9 1/4 19/11 4/17 1/4 45/26 4/17 71/41 4/17 9/38 26/15 1/4 7/4 0/1 1/4 44/25 0/1 1/5 1/4 37/21 1/5 1/4 30/17 1/5 23/13 1/5 2/9 39/22 1/5 2/9 16/9 2/9 41/23 2/9 3/13 25/14 2/9 34/19 5/22 43/24 3/13 13/56 52/29 3/13 7/30 4/17 9/5 4/17 1/4 20/11 1/4 31/17 1/4 6/23 42/23 1/4 11/6 1/4 1/3 24/13 1/5 37/20 1/5 1/4 13/7 1/5 2/9 41/22 2/9 3/13 28/15 2/9 3/13 1/4 43/23 3/13 7/30 15/8 2/9 4/17 17/9 5/21 6/25 2/1 1/4 19/9 1/4 16/63 17/8 6/23 5/19 15/7 4/15 2/7 43/20 7/26 3/11 28/13 1/4 3/11 2/7 13/6 2/7 1/3 37/17 1/4 1/3 24/11 1/3 35/16 0/1 11/5 1/5 1/4 20/9 1/4 29/13 1/4 9/35 38/17 1/4 9/4 1/4 4/15 52/23 4/15 7/26 3/11 43/19 13/48 3/11 120/53 3/11 77/34 3/11 23/84 34/15 5/18 25/11 2/7 41/18 3/11 2/7 16/7 2/7 39/17 2/7 1/3 23/10 2/7 1/3 30/13 1/3 37/16 1/4 1/3 7/3 0/1 1/4 40/17 1/4 33/14 1/4 10/39 26/11 1/4 71/30 9/34 4/15 45/19 4/15 19/8 1/4 4/15 50/21 3/11 81/34 3/11 2/7 31/13 1/4 2/7 74/31 1/4 117/49 1/4 3/11 160/67 4/15 2/7 43/18 1/4 3/11 12/5 1/4 3/11 2/7 53/22 4/15 3/11 41/17 3/11 2/7 70/29 3/11 99/41 18/65 5/18 29/12 3/11 5/18 75/31 2/7 121/50 7/25 2/7 46/19 9/32 63/26 23/81 2/7 80/33 2/7 17/7 2/7 5/17 39/16 2/7 1/3 100/41 1/3 61/25 1/4 2/7 22/9 1/4 5/2 0/1 2/7 38/15 1/4 33/13 5/18 2/7 28/11 1/4 2/7 1/3 23/9 2/7 1/3 41/16 2/7 1/3 100/39 1/3 59/23 0/1 1/4 18/7 1/4 49/19 9/32 2/7 80/31 2/7 31/12 2/7 7/24 75/29 2/7 119/46 2/7 5/17 163/63 5/17 3/10 44/17 2/7 5/17 3/10 13/5 2/7 1/3 60/23 1/3 47/18 1/4 2/7 81/31 2/7 1/3 115/44 2/7 34/13 3/10 55/21 2/7 21/8 2/7 3/10 8/3 1/3 19/7 0/1 1/4 49/18 1/4 2/7 30/11 1/3 71/26 0/1 1/2 41/15 0/1 1/3 11/4 1/4 1/3 47/17 0/1 1/4 83/30 1/4 1/3 119/43 0/1 1/3 36/13 0/1 1/4 1/3 61/22 1/4 8/31 25/9 2/7 39/14 2/7 1/3 53/19 4/13 1/3 120/43 1/3 67/24 1/3 2/5 14/5 1/4 17/6 4/13 1/3 20/7 1/3 23/8 1/3 2/5 3/1 1/4 1/3 22/7 1/2 19/6 0/1 1/2 16/5 0/1 29/9 1/5 1/4 42/13 1/4 55/17 0/1 2/7 13/4 0/1 1/3 10/3 1/3 27/8 1/3 2/5 44/13 2/5 3/7 1/2 61/18 10/21 1/2 200/59 1/2 139/41 1/2 20/39 78/23 1/2 17/5 0/1 1/1 41/12 0/1 1/3 65/19 0/1 24/7 1/3 55/16 2/5 31/9 2/5 1/2 38/11 1/2 45/13 0/1 2/3 7/2 0/1 1/4 39/11 0/1 1/3 32/9 0/1 57/16 1/5 2/9 25/7 0/1 2/7 93/26 2/7 1/3 68/19 0/1 1/4 1/3 43/12 1/4 1/3 61/17 1/4 2/7 18/5 1/4 29/8 3/10 1/3 40/11 1/3 11/3 1/3 1/2 59/16 4/9 1/2 48/13 0/1 85/23 0/1 2/7 122/33 1/4 159/43 0/1 1/3 37/10 1/4 1/3 63/17 1/3 2/5 89/24 3/8 2/5 26/7 1/2 93/25 -1/1 0/1 160/43 0/1 67/18 0/1 1/5 41/11 0/1 1/3 56/15 1/3 15/4 0/1 34/9 1/2 19/5 0/1 1/2 4/1 0/1 1/4 1/3 21/5 0/1 1/2 80/19 0/1 59/14 0/1 1/6 38/9 1/4 55/13 0/1 2/7 17/4 0/1 1/3 30/7 1/3 43/10 1/3 1/2 13/3 0/1 1/3 48/11 0/1 83/19 1/3 1/2 201/46 0/1 1/3 520/119 1/3 319/73 1/3 2/5 118/27 1/2 35/8 0/1 2/5 22/5 1/2 31/7 0/1 1/0 40/9 0/1 9/2 0/1 1/4 41/9 0/1 1/3 32/7 0/1 55/12 0/1 2/9 23/5 2/7 1/3 14/3 1/2 47/10 -1/4 0/1 80/17 0/1 33/7 0/1 1/8 52/11 0/1 1/6 1/5 71/15 0/1 1/4 19/4 1/4 2/7 43/9 1/4 1/3 24/5 1/3 29/6 1/2 1/1 5/1 0/1 21/4 0/1 1/4 16/3 0/1 27/5 0/1 1/5 65/12 0/1 2/9 38/7 1/4 11/2 1/4 1/3 39/7 0/1 1/3 67/12 0/1 1/5 28/5 0/1 1/4 1/3 17/3 0/1 1/3 40/7 0/1 23/4 0/1 1/5 6/1 1/4 31/5 0/1 1/4 25/4 0/1 19/3 1/4 6/23 51/8 1/4 3/11 32/5 2/7 13/2 2/7 1/3 20/3 1/3 27/4 0/1 1/3 7/1 0/1 1/4 29/4 1/4 1/3 80/11 0/1 2/7 51/7 1/4 1/3 22/3 1/4 37/5 3/10 1/3 15/2 0/1 2/7 38/5 1/4 23/3 2/7 1/3 8/1 1/3 17/2 0/1 1/3 26/3 1/2 9/1 0/1 1/4 19/2 2/9 1/4 10/1 1/3 1/0 0/1 1/3 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(41,480,24,281) (-10/1,1/0) -> (70/41,41/24) Hyperbolic Matrix(239,2320,140,1359) (-10/1,-19/2) -> (99/58,70/41) Hyperbolic Matrix(161,1520,34,321) (-19/2,-9/1) -> (71/15,19/4) Hyperbolic Matrix(241,2080,-176,-1519) (-9/1,-17/2) -> (-63/46,-89/65) Hyperbolic Matrix(39,320,34,279) (-17/2,-8/1) -> (8/7,23/20) Hyperbolic Matrix(41,320,36,281) (-8/1,-23/3) -> (17/15,8/7) Hyperbolic Matrix(199,1520,-152,-1161) (-23/3,-15/2) -> (-55/42,-17/13) Hyperbolic Matrix(119,880,-38,-281) (-15/2,-22/3) -> (-22/7,-25/8) Hyperbolic Matrix(199,1440,-72,-521) (-22/3,-7/1) -> (-47/17,-58/21) Hyperbolic Matrix(201,1360,-124,-839) (-7/1,-20/3) -> (-60/37,-47/29) Hyperbolic Matrix(159,1040,-98,-641) (-20/3,-13/2) -> (-13/8,-60/37) Hyperbolic Matrix(199,1280,118,759) (-13/2,-32/5) -> (32/19,27/16) Hyperbolic Matrix(439,2800,-320,-2041) (-32/5,-19/3) -> (-59/43,-48/35) Hyperbolic Matrix(319,2000,204,1279) (-19/3,-25/4) -> (25/16,61/39) Hyperbolic Matrix(401,2480,-168,-1039) (-25/4,-6/1) -> (-74/31,-105/44) Hyperbolic Matrix(41,240,-34,-199) (-6/1,-17/3) -> (-23/19,-6/5) Hyperbolic Matrix(199,1120,78,439) (-17/3,-28/5) -> (28/11,23/9) Hyperbolic Matrix(159,880,-58,-321) (-28/5,-11/2) -> (-11/4,-52/19) Hyperbolic Matrix(119,640,-82,-441) (-11/2,-16/3) -> (-16/11,-29/20) Hyperbolic Matrix(121,640,38,201) (-16/3,-21/4) -> (19/6,16/5) Hyperbolic Matrix(199,1040,84,439) (-21/4,-5/1) -> (45/19,19/8) Hyperbolic Matrix(199,960,-108,-521) (-5/1,-24/5) -> (-24/13,-35/19) Hyperbolic Matrix(401,1920,184,881) (-24/5,-43/9) -> (37/17,24/11) Hyperbolic Matrix(721,3440,520,2481) (-43/9,-19/4) -> (61/44,43/31) Hyperbolic Matrix(321,1520,34,161) (-19/4,-71/15) -> (9/1,19/2) Hyperbolic Matrix(879,4160,490,2319) (-71/15,-52/11) -> (52/29,9/5) Hyperbolic Matrix(559,2640,220,1039) (-52/11,-33/7) -> (33/13,28/11) Hyperbolic Matrix(239,1120,-188,-881) (-33/7,-14/3) -> (-14/11,-47/37) Hyperbolic Matrix(121,560,78,361) (-14/3,-23/5) -> (17/11,14/9) Hyperbolic Matrix(559,2560,-402,-1841) (-23/5,-32/7) -> (-32/23,-57/41) Hyperbolic Matrix(561,2560,158,721) (-32/7,-41/9) -> (39/11,32/9) Hyperbolic Matrix(721,3280,264,1201) (-41/9,-9/2) -> (71/26,41/15) Hyperbolic Matrix(199,880,-154,-681) (-9/2,-22/5) -> (-22/17,-31/24) Hyperbolic Matrix(201,880,-82,-359) (-22/5,-13/3) -> (-27/11,-22/9) Hyperbolic Matrix(241,1040,130,561) (-13/3,-43/10) -> (37/20,13/7) Hyperbolic Matrix(559,2400,242,1039) (-43/10,-30/7) -> (30/13,37/16) Hyperbolic Matrix(281,1200,122,521) (-30/7,-17/4) -> (23/10,30/13) Hyperbolic Matrix(39,160,-10,-41) (-17/4,-4/1) -> (-4/1,-23/6) Parabolic Matrix(481,1840,-418,-1599) (-23/6,-42/11) -> (-38/33,-23/20) Hyperbolic Matrix(839,3200,-640,-2441) (-42/11,-19/5) -> (-59/45,-38/29) Hyperbolic Matrix(359,1360,-222,-841) (-19/5,-15/4) -> (-55/34,-21/13) Hyperbolic Matrix(879,3280,-622,-2321) (-15/4,-41/11) -> (-41/29,-65/46) Hyperbolic Matrix(881,3280,-408,-1519) (-41/11,-67/18) -> (-13/6,-41/19) Hyperbolic Matrix(1119,4160,-818,-3041) (-67/18,-26/7) -> (-26/19,-93/68) Hyperbolic Matrix(561,2080,-496,-1839) (-26/7,-63/17) -> (-17/15,-26/23) Hyperbolic Matrix(799,2960,518,1919) (-63/17,-37/10) -> (37/24,17/11) Hyperbolic Matrix(1559,5760,-1202,-4441) (-37/10,-48/13) -> (-48/37,-83/64) Hyperbolic Matrix(759,2800,-640,-2361) (-48/13,-11/3) -> (-51/43,-32/27) Hyperbolic Matrix(199,720,-144,-521) (-11/3,-18/5) -> (-18/13,-29/21) Hyperbolic Matrix(601,2160,234,841) (-18/5,-61/17) -> (59/23,18/7) Hyperbolic Matrix(959,3440,758,2719) (-61/17,-43/12) -> (43/34,19/15) Hyperbolic Matrix(961,3440,-402,-1439) (-43/12,-25/7) -> (-55/23,-43/18) Hyperbolic Matrix(719,2560,-562,-2001) (-25/7,-32/9) -> (-32/25,-55/43) Hyperbolic Matrix(721,2560,158,561) (-32/9,-39/11) -> (41/9,32/7) Hyperbolic Matrix(679,2400,260,919) (-39/11,-7/2) -> (47/18,81/31) Hyperbolic Matrix(439,1520,-266,-921) (-7/2,-38/11) -> (-38/23,-33/20) Hyperbolic Matrix(719,2480,394,1359) (-38/11,-31/9) -> (31/17,42/23) Hyperbolic Matrix(1441,4960,-604,-2079) (-31/9,-55/16) -> (-105/44,-31/13) Hyperbolic Matrix(1001,3440,268,921) (-55/16,-24/7) -> (56/15,15/4) Hyperbolic Matrix(959,3280,-702,-2401) (-24/7,-41/12) -> (-41/30,-56/41) Hyperbolic Matrix(399,1360,164,559) (-41/12,-17/5) -> (17/7,39/16) Hyperbolic Matrix(119,400,-36,-121) (-17/5,-10/3) -> (-10/3,-23/7) Parabolic Matrix(439,1440,-232,-761) (-23/7,-59/18) -> (-19/10,-17/9) Hyperbolic Matrix(1319,4320,476,1559) (-59/18,-36/11) -> (36/13,61/22) Hyperbolic Matrix(319,1040,196,639) (-36/11,-13/4) -> (13/8,44/27) Hyperbolic Matrix(199,640,-162,-521) (-13/4,-16/5) -> (-16/13,-27/22) Hyperbolic Matrix(201,640,38,121) (-16/5,-19/6) -> (21/4,16/3) Hyperbolic Matrix(559,1760,330,1039) (-19/6,-22/7) -> (22/13,61/36) Hyperbolic Matrix(359,1120,192,599) (-25/8,-3/1) -> (43/23,15/8) Hyperbolic Matrix(279,800,-98,-281) (-3/1,-20/7) -> (-20/7,-37/13) Parabolic Matrix(1041,2960,760,2161) (-37/13,-17/6) -> (63/46,37/27) Hyperbolic Matrix(199,560,156,439) (-17/6,-14/5) -> (14/11,23/18) Hyperbolic Matrix(601,1680,-386,-1079) (-14/5,-53/19) -> (-67/43,-14/9) Hyperbolic Matrix(1521,4240,890,2481) (-53/19,-39/14) -> (41/24,53/31) Hyperbolic Matrix(719,2000,316,879) (-39/14,-25/9) -> (25/11,41/18) Hyperbolic Matrix(721,2000,606,1681) (-25/9,-61/22) -> (19/16,25/21) Hyperbolic Matrix(1761,4880,520,1441) (-61/22,-36/13) -> (44/13,61/18) Hyperbolic Matrix(839,2320,-362,-1001) (-36/13,-47/17) -> (-7/3,-44/19) Hyperbolic Matrix(1159,3200,-1000,-2761) (-58/21,-11/4) -> (-51/44,-22/19) Hyperbolic Matrix(1199,3280,-556,-1521) (-52/19,-41/15) -> (-41/19,-28/13) Hyperbolic Matrix(1641,4480,-952,-2599) (-41/15,-30/11) -> (-50/29,-81/47) Hyperbolic Matrix(559,1520,-324,-881) (-30/11,-19/7) -> (-19/11,-50/29) Hyperbolic Matrix(119,320,74,199) (-19/7,-8/3) -> (8/5,21/13) Hyperbolic Matrix(121,320,76,201) (-8/3,-21/8) -> (19/12,8/5) Hyperbolic Matrix(519,1360,-382,-1001) (-21/8,-34/13) -> (-34/25,-19/14) Hyperbolic Matrix(2999,7840,-1760,-4601) (-34/13,-81/31) -> (-121/71,-46/27) Hyperbolic Matrix(919,2400,260,679) (-81/31,-47/18) -> (7/2,39/11) Hyperbolic Matrix(521,1360,-444,-1159) (-47/18,-13/5) -> (-27/23,-7/6) Hyperbolic Matrix(401,1040,278,721) (-13/5,-44/17) -> (36/25,13/9) Hyperbolic Matrix(3679,9520,-2350,-6081) (-44/17,-119/46) -> (-119/76,-36/23) Hyperbolic Matrix(6959,18000,2876,7439) (-119/46,-75/29) -> (75/31,121/50) Hyperbolic Matrix(2599,6720,1098,2839) (-75/29,-31/12) -> (71/30,45/19) Hyperbolic Matrix(559,1440,-342,-881) (-31/12,-18/7) -> (-18/11,-49/30) Hyperbolic Matrix(841,2160,234,601) (-18/7,-59/23) -> (61/17,18/5) Hyperbolic Matrix(4679,12000,1918,4919) (-59/23,-100/39) -> (100/41,61/25) Hyperbolic Matrix(3121,8000,1280,3281) (-100/39,-41/16) -> (39/16,100/41) Hyperbolic Matrix(719,1840,406,1039) (-41/16,-23/9) -> (23/13,39/22) Hyperbolic Matrix(439,1120,78,199) (-23/9,-28/11) -> (28/5,17/3) Hyperbolic Matrix(1039,2640,220,559) (-28/11,-33/13) -> (33/7,52/11) Hyperbolic Matrix(599,1520,-426,-1081) (-33/13,-5/2) -> (-45/32,-7/5) Hyperbolic Matrix(1201,2960,-876,-2159) (-5/2,-32/13) -> (-48/35,-85/62) Hyperbolic Matrix(521,1280,440,1081) (-32/13,-27/11) -> (13/11,32/27) Hyperbolic Matrix(721,1760,492,1201) (-22/9,-61/25) -> (19/13,22/15) Hyperbolic Matrix(4919,12000,1918,4679) (-61/25,-100/41) -> (100/39,59/23) Hyperbolic Matrix(3281,8000,1280,3121) (-100/41,-39/16) -> (41/16,100/39) Hyperbolic Matrix(559,1360,164,399) (-39/16,-17/7) -> (17/5,41/12) Hyperbolic Matrix(1519,3680,-892,-2161) (-17/7,-46/19) -> (-46/27,-63/37) Hyperbolic Matrix(3239,7840,-2000,-4841) (-46/19,-75/31) -> (-115/71,-34/21) Hyperbolic Matrix(959,2320,198,479) (-75/31,-29/12) -> (29/6,5/1) Hyperbolic Matrix(2319,5600,364,879) (-29/12,-99/41) -> (19/3,51/8) Hyperbolic Matrix(961,2320,862,2081) (-99/41,-70/29) -> (10/9,19/17) Hyperbolic Matrix(199,480,182,439) (-70/29,-41/17) -> (1/1,10/9) Hyperbolic Matrix(1759,4240,1128,2719) (-41/17,-53/22) -> (53/34,39/25) Hyperbolic Matrix(599,1440,-250,-601) (-53/22,-12/5) -> (-12/5,-67/28) Parabolic Matrix(1839,4400,568,1359) (-67/28,-55/23) -> (55/17,13/4) Hyperbolic Matrix(4959,11840,-2882,-6881) (-43/18,-74/31) -> (-74/43,-117/68) Hyperbolic Matrix(639,1520,-404,-961) (-31/13,-19/8) -> (-19/12,-49/31) Hyperbolic Matrix(439,1040,84,199) (-19/8,-45/19) -> (5/1,21/4) Hyperbolic Matrix(2839,6720,1098,2599) (-45/19,-71/30) -> (31/12,75/29) Hyperbolic Matrix(879,2080,-778,-1841) (-71/30,-26/11) -> (-26/23,-9/8) Hyperbolic Matrix(441,1040,-254,-599) (-26/11,-7/3) -> (-33/19,-26/15) Hyperbolic Matrix(3801,8800,-2332,-5399) (-44/19,-37/16) -> (-163/100,-44/27) Hyperbolic Matrix(1039,2400,242,559) (-37/16,-30/13) -> (30/7,43/10) Hyperbolic Matrix(521,1200,122,281) (-30/13,-23/10) -> (17/4,30/7) Hyperbolic Matrix(801,1840,488,1121) (-23/10,-39/17) -> (41/25,23/14) Hyperbolic Matrix(559,1280,314,719) (-39/17,-16/7) -> (16/9,41/23) Hyperbolic Matrix(561,1280,316,721) (-16/7,-41/18) -> (39/22,16/9) Hyperbolic Matrix(879,2000,316,719) (-41/18,-25/11) -> (25/9,39/14) Hyperbolic Matrix(1199,2720,458,1039) (-25/11,-34/15) -> (34/13,55/21) Hyperbolic Matrix(1801,4080,-1006,-2279) (-34/15,-43/19) -> (-77/43,-34/19) Hyperbolic Matrix(1521,3440,814,1841) (-43/19,-52/23) -> (28/15,43/23) Hyperbolic Matrix(1841,4160,1452,3281) (-52/23,-9/4) -> (71/56,52/41) Hyperbolic Matrix(359,800,-162,-361) (-9/4,-20/9) -> (-20/9,-31/14) Parabolic Matrix(1121,2480,796,1761) (-31/14,-42/19) -> (38/27,31/22) Hyperbolic Matrix(761,1680,236,521) (-42/19,-11/5) -> (29/9,42/13) Hyperbolic Matrix(439,960,-348,-761) (-11/5,-24/11) -> (-24/19,-29/23) Hyperbolic Matrix(881,1920,184,401) (-24/11,-37/17) -> (43/9,24/5) Hyperbolic Matrix(479,1040,368,799) (-37/17,-13/6) -> (13/10,43/33) Hyperbolic Matrix(1599,3440,892,1919) (-28/13,-43/20) -> (43/24,52/29) Hyperbolic Matrix(521,1120,354,761) (-43/20,-15/7) -> (25/17,3/2) Hyperbolic Matrix(599,1280,168,359) (-15/7,-17/8) -> (57/16,25/7) Hyperbolic Matrix(641,1360,-452,-959) (-17/8,-2/1) -> (-78/55,-17/12) Hyperbolic Matrix(919,1760,-648,-1241) (-2/1,-19/10) -> (-139/98,-78/55) Hyperbolic Matrix(679,1280,148,279) (-17/9,-15/8) -> (55/12,23/5) Hyperbolic Matrix(641,1200,86,161) (-15/8,-43/23) -> (37/5,15/2) Hyperbolic Matrix(1841,3440,814,1521) (-43/23,-28/15) -> (52/23,43/19) Hyperbolic Matrix(1201,2240,-986,-1839) (-28/15,-13/7) -> (-67/55,-28/23) Hyperbolic Matrix(561,1040,130,241) (-13/7,-37/20) -> (43/10,13/3) Hyperbolic Matrix(1039,1920,822,1519) (-37/20,-24/13) -> (24/19,43/34) Hyperbolic Matrix(1001,1840,414,761) (-35/19,-11/6) -> (29/12,75/31) Hyperbolic Matrix(439,800,-242,-441) (-11/6,-20/11) -> (-20/11,-29/16) Parabolic Matrix(839,1520,154,279) (-29/16,-38/21) -> (38/7,11/2) Hyperbolic Matrix(841,1520,244,441) (-38/21,-9/5) -> (31/9,38/11) Hyperbolic Matrix(2319,4160,490,879) (-9/5,-52/29) -> (52/11,71/15) Hyperbolic Matrix(1919,3440,892,1599) (-52/29,-43/24) -> (43/20,28/13) Hyperbolic Matrix(8039,14400,3550,6359) (-43/24,-120/67) -> (120/53,77/34) Hyperbolic Matrix(8041,14400,3552,6361) (-120/67,-77/43) -> (43/19,120/53) Hyperbolic Matrix(761,1360,202,361) (-34/19,-25/14) -> (15/4,34/9) Hyperbolic Matrix(1121,2000,718,1281) (-25/14,-41/23) -> (39/25,25/16) Hyperbolic Matrix(719,1280,314,559) (-41/23,-16/9) -> (16/7,39/17) Hyperbolic Matrix(721,1280,316,561) (-16/9,-39/22) -> (41/18,16/7) Hyperbolic Matrix(1039,1840,406,719) (-39/22,-23/13) -> (23/9,41/16) Hyperbolic Matrix(679,1200,520,919) (-23/13,-30/17) -> (30/23,17/13) Hyperbolic Matrix(1361,2400,1044,1841) (-30/17,-37/21) -> (43/33,30/23) Hyperbolic Matrix(1319,2320,-842,-1481) (-37/21,-7/4) -> (-47/30,-83/53) Hyperbolic Matrix(919,1600,390,679) (-7/4,-40/23) -> (40/17,33/14) Hyperbolic Matrix(921,1600,392,681) (-40/23,-33/19) -> (7/3,40/17) Hyperbolic Matrix(2401,4160,-1754,-3039) (-26/15,-71/41) -> (-89/65,-26/19) Hyperbolic Matrix(3881,6720,2380,4121) (-71/41,-45/26) -> (75/46,31/19) Hyperbolic Matrix(601,1040,486,841) (-45/26,-19/11) -> (21/17,5/4) Hyperbolic Matrix(1161,2000,256,441) (-81/47,-31/18) -> (9/2,41/9) Hyperbolic Matrix(1441,2480,-1208,-2079) (-31/18,-74/43) -> (-6/5,-31/26) Hyperbolic Matrix(14879,25600,6230,10719) (-117/68,-160/93) -> (160/67,43/18) Hyperbolic Matrix(14881,25600,6232,10721) (-160/93,-43/25) -> (117/49,160/67) Hyperbolic Matrix(2001,3440,-1442,-2479) (-43/25,-12/7) -> (-68/49,-43/31) Hyperbolic Matrix(2759,4720,-1988,-3401) (-12/7,-53/31) -> (-93/67,-68/49) Hyperbolic Matrix(2481,4240,890,1521) (-53/31,-41/24) -> (39/14,53/19) Hyperbolic Matrix(281,480,24,41) (-41/24,-70/41) -> (10/1,1/0) Hyperbolic Matrix(1359,2320,140,239) (-70/41,-99/58) -> (19/2,10/1) Hyperbolic Matrix(1641,2800,446,761) (-99/58,-29/17) -> (11/3,59/16) Hyperbolic Matrix(1079,1840,492,839) (-29/17,-75/44) -> (35/16,11/5) Hyperbolic Matrix(10561,18000,6478,11041) (-75/44,-121/71) -> (119/73,75/46) Hyperbolic Matrix(3759,6400,1550,2639) (-63/37,-80/47) -> (80/33,17/7) Hyperbolic Matrix(3761,6400,1552,2641) (-80/47,-17/10) -> (63/26,80/33) Hyperbolic Matrix(801,1360,566,961) (-17/10,-39/23) -> (41/29,17/12) Hyperbolic Matrix(4719,8000,2878,4879) (-39/23,-100/59) -> (100/61,41/25) Hyperbolic Matrix(7081,12000,4320,7321) (-100/59,-61/36) -> (59/36,100/61) Hyperbolic Matrix(1039,1760,330,559) (-61/36,-22/13) -> (22/7,19/6) Hyperbolic Matrix(521,880,-402,-679) (-22/13,-5/3) -> (-35/27,-22/17) Hyperbolic Matrix(1159,1920,-894,-1481) (-5/3,-38/23) -> (-118/91,-35/27) Hyperbolic Matrix(1601,2640,1262,2081) (-33/20,-28/17) -> (52/41,33/26) Hyperbolic Matrix(681,1120,560,921) (-28/17,-23/14) -> (17/14,28/23) Hyperbolic Matrix(1121,1840,488,801) (-23/14,-41/25) -> (39/17,23/10) Hyperbolic Matrix(4879,8000,2878,4719) (-41/25,-100/61) -> (100/59,39/23) Hyperbolic Matrix(7321,12000,4320,7081) (-100/61,-59/36) -> (61/36,100/59) Hyperbolic Matrix(1319,2160,952,1559) (-59/36,-18/11) -> (18/13,61/44) Hyperbolic Matrix(3919,6400,1518,2479) (-49/30,-80/49) -> (80/31,31/12) Hyperbolic Matrix(3921,6400,1520,2481) (-80/49,-31/19) -> (49/19,80/31) Hyperbolic Matrix(4121,6720,2380,3881) (-31/19,-75/46) -> (45/26,71/41) Hyperbolic Matrix(12121,19760,4638,7561) (-75/46,-119/73) -> (81/31,115/44) Hyperbolic Matrix(26159,42640,-20172,-32881) (-119/73,-163/100) -> (-83/64,-201/155) Hyperbolic Matrix(1081,1760,320,521) (-44/27,-13/8) -> (27/8,44/13) Hyperbolic Matrix(1481,2400,1062,1721) (-47/29,-81/50) -> (39/28,7/5) Hyperbolic Matrix(12199,19760,4716,7639) (-81/50,-115/71) -> (75/29,119/46) Hyperbolic Matrix(1681,2720,940,1521) (-34/21,-55/34) -> (25/14,34/19) Hyperbolic Matrix(199,320,74,119) (-21/13,-8/5) -> (8/3,19/7) Hyperbolic Matrix(201,320,76,121) (-8/5,-19/12) -> (21/8,8/3) Hyperbolic Matrix(2279,3600,-1444,-2281) (-49/31,-30/19) -> (-30/19,-71/45) Parabolic Matrix(2079,3280,1622,2559) (-71/45,-41/26) -> (41/32,9/7) Hyperbolic Matrix(559,880,-458,-721) (-41/26,-11/7) -> (-11/9,-39/32) Hyperbolic Matrix(919,1440,-792,-1241) (-11/7,-47/30) -> (-7/6,-29/25) Hyperbolic Matrix(11239,17600,-8200,-12841) (-83/53,-119/76) -> (-159/116,-37/27) Hyperbolic Matrix(2761,4320,1918,3001) (-36/23,-61/39) -> (59/41,36/25) Hyperbolic Matrix(1279,2000,204,319) (-61/39,-25/16) -> (25/4,19/3) Hyperbolic Matrix(1281,2000,718,1121) (-25/16,-39/25) -> (41/23,25/14) Hyperbolic Matrix(2719,4240,1128,1759) (-39/25,-53/34) -> (53/22,41/17) Hyperbolic Matrix(9239,14400,3310,5159) (-53/34,-120/77) -> (120/43,67/24) Hyperbolic Matrix(9241,14400,3312,5161) (-120/77,-67/43) -> (53/19,120/43) Hyperbolic Matrix(361,560,78,121) (-14/9,-17/11) -> (23/5,14/3) Hyperbolic Matrix(519,800,-338,-521) (-17/11,-20/13) -> (-20/13,-23/15) Parabolic Matrix(681,1040,184,281) (-23/15,-3/2) -> (37/10,63/17) Hyperbolic Matrix(599,880,-518,-761) (-3/2,-22/15) -> (-22/19,-37/32) Hyperbolic Matrix(1201,1760,492,721) (-22/15,-19/13) -> (61/25,22/9) Hyperbolic Matrix(439,640,356,519) (-19/13,-16/11) -> (16/13,21/17) Hyperbolic Matrix(1159,1680,634,919) (-29/20,-42/29) -> (42/23,11/6) Hyperbolic Matrix(1879,2720,248,359) (-42/29,-55/38) -> (15/2,38/5) Hyperbolic Matrix(3041,4400,1770,2561) (-55/38,-13/9) -> (67/39,55/32) Hyperbolic Matrix(279,400,-196,-281) (-13/9,-10/7) -> (-10/7,-27/19) Parabolic Matrix(1239,1760,478,679) (-27/19,-44/31) -> (44/17,13/5) Hyperbolic Matrix(3439,4880,2198,3119) (-44/31,-61/43) -> (61/39,36/23) Hyperbolic Matrix(28199,40000,8318,11799) (-61/43,-200/141) -> (200/59,139/41) Hyperbolic Matrix(28201,40000,8320,11801) (-200/141,-139/98) -> (61/18,200/59) Hyperbolic Matrix(961,1360,566,801) (-17/12,-41/29) -> (39/23,17/10) Hyperbolic Matrix(2039,2880,594,839) (-65/46,-24/17) -> (24/7,55/16) Hyperbolic Matrix(2041,2880,596,841) (-24/17,-55/39) -> (65/19,24/7) Hyperbolic Matrix(1759,2480,-1476,-2081) (-55/39,-31/22) -> (-31/26,-25/21) Hyperbolic Matrix(1079,1520,482,679) (-31/22,-38/27) -> (38/17,9/4) Hyperbolic Matrix(6199,8720,-4522,-6361) (-38/27,-45/32) -> (-85/62,-122/89) Hyperbolic Matrix(1721,2400,1062,1481) (-7/5,-39/28) -> (81/50,47/29) Hyperbolic Matrix(1839,2560,1436,1999) (-39/28,-32/23) -> (32/25,41/32) Hyperbolic Matrix(921,1280,490,681) (-57/41,-25/18) -> (15/8,17/9) Hyperbolic Matrix(4841,6720,894,1241) (-25/18,-93/67) -> (27/5,65/12) Hyperbolic Matrix(2481,3440,520,721) (-43/31,-61/44) -> (19/4,43/9) Hyperbolic Matrix(1559,2160,952,1319) (-61/44,-18/13) -> (18/11,59/36) Hyperbolic Matrix(1159,1600,318,439) (-29/21,-40/29) -> (40/11,11/3) Hyperbolic Matrix(1161,1600,320,441) (-40/29,-11/8) -> (29/8,40/11) Hyperbolic Matrix(2039,2800,844,1159) (-11/8,-59/43) -> (99/41,29/12) Hyperbolic Matrix(42079,57680,-32450,-44481) (-122/89,-159/116) -> (-319/246,-118/91) Hyperbolic Matrix(759,1040,262,359) (-37/27,-63/46) -> (23/8,3/1) Hyperbolic Matrix(18719,25600,5030,6879) (-93/68,-160/117) -> (160/43,67/18) Hyperbolic Matrix(18721,25600,5032,6881) (-160/117,-67/49) -> (93/25,160/43) Hyperbolic Matrix(3921,5360,-3218,-4399) (-67/49,-41/30) -> (-39/32,-67/55) Hyperbolic Matrix(2519,3440,1786,2439) (-56/41,-15/11) -> (55/39,24/17) Hyperbolic Matrix(999,1360,440,599) (-15/11,-34/25) -> (34/15,25/11) Hyperbolic Matrix(119,160,-90,-121) (-19/14,-4/3) -> (-4/3,-21/16) Parabolic Matrix(4879,6400,1158,1519) (-21/16,-80/61) -> (80/19,59/14) Hyperbolic Matrix(4881,6400,1160,1521) (-80/61,-59/45) -> (21/5,80/19) Hyperbolic Matrix(3481,4560,642,841) (-38/29,-55/42) -> (65/12,38/7) Hyperbolic Matrix(919,1200,520,679) (-17/13,-30/23) -> (30/17,23/13) Hyperbolic Matrix(1841,2400,1044,1361) (-30/23,-43/33) -> (37/21,30/17) Hyperbolic Matrix(799,1040,368,479) (-43/33,-13/10) -> (13/6,37/17) Hyperbolic Matrix(801,1040,124,161) (-13/10,-48/37) -> (32/5,13/2) Hyperbolic Matrix(208519,270400,47718,61879) (-201/155,-520/401) -> (520/119,319/73) Hyperbolic Matrix(208521,270400,47720,61881) (-520/401,-319/246) -> (201/46,520/119) Hyperbolic Matrix(1239,1600,278,359) (-31/24,-40/31) -> (40/9,9/2) Hyperbolic Matrix(1241,1600,280,361) (-40/31,-9/7) -> (31/7,40/9) Hyperbolic Matrix(1559,2000,654,839) (-9/7,-41/32) -> (81/34,31/13) Hyperbolic Matrix(1999,2560,1436,1839) (-41/32,-32/25) -> (32/23,39/28) Hyperbolic Matrix(1001,1280,470,601) (-55/43,-23/18) -> (17/8,15/7) Hyperbolic Matrix(439,560,156,199) (-23/18,-14/11) -> (14/5,17/6) Hyperbolic Matrix(5039,6400,1070,1359) (-47/37,-80/63) -> (80/17,33/7) Hyperbolic Matrix(5041,6400,1072,1361) (-80/63,-33/26) -> (47/10,80/17) Hyperbolic Matrix(2081,2640,1262,1601) (-33/26,-52/41) -> (28/17,33/20) Hyperbolic Matrix(3281,4160,1452,1841) (-52/41,-71/56) -> (9/4,52/23) Hyperbolic Matrix(1199,1520,1072,1359) (-71/56,-19/15) -> (19/17,9/8) Hyperbolic Matrix(2719,3440,758,959) (-19/15,-43/34) -> (43/12,61/17) Hyperbolic Matrix(1519,1920,822,1039) (-43/34,-24/19) -> (24/13,37/20) Hyperbolic Matrix(1841,2320,1080,1361) (-29/23,-5/4) -> (75/44,29/17) Hyperbolic Matrix(841,1040,486,601) (-5/4,-21/17) -> (19/11,45/26) Hyperbolic Matrix(519,640,356,439) (-21/17,-16/13) -> (16/11,19/13) Hyperbolic Matrix(5479,6720,1532,1879) (-27/22,-65/53) -> (25/7,93/26) Hyperbolic Matrix(3719,4560,880,1079) (-65/53,-38/31) -> (38/9,55/13) Hyperbolic Matrix(1241,1520,556,681) (-38/31,-11/9) -> (29/13,38/17) Hyperbolic Matrix(921,1120,560,681) (-28/23,-17/14) -> (23/14,28/17) Hyperbolic Matrix(1319,1600,230,279) (-17/14,-40/33) -> (40/7,23/4) Hyperbolic Matrix(1321,1600,232,281) (-40/33,-23/19) -> (17/3,40/7) Hyperbolic Matrix(1681,2000,606,721) (-25/21,-19/16) -> (61/22,25/9) Hyperbolic Matrix(4721,5600,2766,3281) (-19/16,-51/43) -> (29/17,99/58) Hyperbolic Matrix(879,1040,202,239) (-32/27,-13/11) -> (13/3,48/11) Hyperbolic Matrix(679,800,-578,-681) (-13/11,-20/17) -> (-20/17,-27/23) Parabolic Matrix(5519,6400,758,879) (-29/25,-80/69) -> (80/11,51/7) Hyperbolic Matrix(5521,6400,760,881) (-80/69,-51/44) -> (29/4,80/11) Hyperbolic Matrix(1039,1200,484,559) (-37/32,-15/13) -> (15/7,43/20) Hyperbolic Matrix(2361,2720,730,841) (-15/13,-38/33) -> (42/13,55/17) Hyperbolic Matrix(279,320,34,39) (-23/20,-8/7) -> (8/1,17/2) Hyperbolic Matrix(281,320,36,41) (-8/7,-17/15) -> (23/3,8/1) Hyperbolic Matrix(1359,1520,1072,1199) (-9/8,-19/17) -> (19/15,71/56) Hyperbolic Matrix(2081,2320,862,961) (-19/17,-10/9) -> (70/29,99/41) Hyperbolic Matrix(439,480,182,199) (-10/9,-1/1) -> (41/17,70/29) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(1839,-2080,496,-561) (9/8,17/15) -> (63/17,89/24) Hyperbolic Matrix(1321,-1520,312,-359) (23/20,15/13) -> (55/13,17/4) Hyperbolic Matrix(761,-880,518,-599) (15/13,22/19) -> (22/15,25/17) Hyperbolic Matrix(1241,-1440,792,-919) (22/19,7/6) -> (47/30,58/37) Hyperbolic Matrix(1159,-1360,444,-521) (7/6,20/17) -> (60/23,47/18) Hyperbolic Matrix(881,-1040,338,-399) (20/17,13/11) -> (13/5,60/23) Hyperbolic Matrix(2361,-2800,640,-759) (32/27,19/16) -> (59/16,48/13) Hyperbolic Matrix(2079,-2480,1208,-1441) (25/21,6/5) -> (74/43,105/61) Hyperbolic Matrix(199,-240,34,-41) (6/5,17/14) -> (23/4,6/1) Hyperbolic Matrix(721,-880,458,-559) (28/23,11/9) -> (11/7,52/33) Hyperbolic Matrix(521,-640,162,-199) (11/9,16/13) -> (16/5,29/9) Hyperbolic Matrix(761,-960,348,-439) (5/4,24/19) -> (24/11,35/16) Hyperbolic Matrix(881,-1120,188,-239) (33/26,14/11) -> (14/3,47/10) Hyperbolic Matrix(2001,-2560,562,-719) (23/18,32/25) -> (32/9,57/16) Hyperbolic Matrix(681,-880,154,-199) (9/7,22/17) -> (22/5,31/7) Hyperbolic Matrix(679,-880,402,-521) (22/17,13/10) -> (27/16,22/13) Hyperbolic Matrix(121,-160,90,-119) (17/13,4/3) -> (4/3,23/17) Parabolic Matrix(1359,-1840,178,-241) (23/17,42/31) -> (38/5,23/3) Hyperbolic Matrix(2361,-3200,560,-759) (42/31,19/14) -> (59/14,38/9) Hyperbolic Matrix(1001,-1360,382,-519) (19/14,15/11) -> (55/21,21/8) Hyperbolic Matrix(2401,-3280,702,-959) (15/11,41/30) -> (41/12,65/19) Hyperbolic Matrix(2399,-3280,1288,-1761) (41/30,67/49) -> (13/7,41/22) Hyperbolic Matrix(3041,-4160,818,-1119) (67/49,26/19) -> (26/7,93/25) Hyperbolic Matrix(1519,-2080,176,-241) (26/19,63/46) -> (17/2,26/3) Hyperbolic Matrix(4201,-5760,962,-1319) (37/27,48/35) -> (48/11,83/19) Hyperbolic Matrix(2041,-2800,320,-439) (48/35,11/8) -> (51/8,32/5) Hyperbolic Matrix(521,-720,144,-199) (11/8,18/13) -> (18/5,29/8) Hyperbolic Matrix(2479,-3440,1442,-2001) (43/31,25/18) -> (55/32,43/25) Hyperbolic Matrix(1841,-2560,402,-559) (25/18,32/23) -> (32/7,55/12) Hyperbolic Matrix(1081,-1520,426,-599) (7/5,38/27) -> (38/15,33/13) Hyperbolic Matrix(3519,-4960,2044,-2881) (31/22,55/39) -> (105/61,31/18) Hyperbolic Matrix(2321,-3280,622,-879) (24/17,41/29) -> (41/11,56/15) Hyperbolic Matrix(281,-400,196,-279) (17/12,10/7) -> (10/7,23/16) Parabolic Matrix(1001,-1440,472,-679) (23/16,59/41) -> (19/9,17/8) Hyperbolic Matrix(441,-640,82,-119) (13/9,16/11) -> (16/3,27/5) Hyperbolic Matrix(521,-800,338,-519) (3/2,20/13) -> (20/13,37/24) Parabolic Matrix(1079,-1680,386,-601) (14/9,53/34) -> (67/24,14/5) Hyperbolic Matrix(1481,-2320,842,-1319) (36/23,47/30) -> (7/4,44/25) Hyperbolic Matrix(2041,-3200,280,-439) (58/37,11/7) -> (51/7,22/3) Hyperbolic Matrix(2081,-3280,1116,-1759) (52/33,41/26) -> (41/22,28/15) Hyperbolic Matrix(2839,-4480,1192,-1881) (41/26,30/19) -> (50/21,81/34) Hyperbolic Matrix(961,-1520,404,-639) (30/19,19/12) -> (19/8,50/21) Hyperbolic Matrix(841,-1360,222,-359) (21/13,34/21) -> (34/9,19/5) Hyperbolic Matrix(4841,-7840,2000,-3239) (34/21,81/50) -> (121/50,46/19) Hyperbolic Matrix(839,-1360,124,-201) (47/29,13/8) -> (27/4,7/1) Hyperbolic Matrix(5841,-9520,2110,-3439) (44/27,119/73) -> (119/43,36/13) Hyperbolic Matrix(881,-1440,342,-559) (31/19,18/11) -> (18/7,49/19) Hyperbolic Matrix(921,-1520,266,-439) (33/20,5/3) -> (45/13,7/2) Hyperbolic Matrix(1759,-2960,476,-801) (5/3,32/19) -> (48/13,85/23) Hyperbolic Matrix(2161,-3680,892,-1519) (17/10,46/27) -> (46/19,63/26) Hyperbolic Matrix(4601,-7840,1760,-2999) (46/27,75/44) -> (115/44,34/13) Hyperbolic Matrix(841,-1440,490,-839) (53/31,12/7) -> (12/7,67/39) Parabolic Matrix(6881,-11840,2882,-4959) (43/25,74/43) -> (74/31,117/49) Hyperbolic Matrix(881,-1520,324,-559) (31/18,19/11) -> (19/7,49/18) Hyperbolic Matrix(1201,-2080,138,-239) (71/41,26/15) -> (26/3,9/1) Hyperbolic Matrix(599,-1040,254,-441) (26/15,7/4) -> (33/14,26/11) Hyperbolic Matrix(4999,-8800,1932,-3401) (44/25,37/21) -> (163/63,44/17) Hyperbolic Matrix(2279,-4080,1006,-1801) (34/19,43/24) -> (77/34,34/15) Hyperbolic Matrix(441,-800,242,-439) (9/5,20/11) -> (20/11,31/17) Parabolic Matrix(521,-960,108,-199) (11/6,24/13) -> (24/5,29/6) Hyperbolic Matrix(719,-1360,212,-401) (17/9,2/1) -> (78/23,17/5) Hyperbolic Matrix(841,-1760,248,-519) (2/1,19/9) -> (139/41,78/23) Hyperbolic Matrix(1039,-2240,186,-401) (28/13,13/6) -> (67/12,28/5) Hyperbolic Matrix(361,-800,162,-359) (11/5,20/9) -> (20/9,29/13) Parabolic Matrix(1001,-2320,362,-839) (37/16,7/3) -> (47/17,83/30) Hyperbolic Matrix(1759,-4160,474,-1121) (26/11,71/30) -> (89/24,26/7) Hyperbolic Matrix(1039,-2480,168,-401) (31/13,74/31) -> (6/1,31/5) Hyperbolic Matrix(1439,-3440,402,-961) (43/18,12/5) -> (68/19,43/12) Hyperbolic Matrix(1961,-4720,548,-1319) (12/5,53/22) -> (93/26,68/19) Hyperbolic Matrix(359,-880,82,-201) (22/9,5/2) -> (35/8,22/5) Hyperbolic Matrix(761,-1920,174,-439) (5/2,38/15) -> (118/27,35/8) Hyperbolic Matrix(16481,-42640,3772,-9759) (119/46,163/63) -> (83/19,201/46) Hyperbolic Matrix(1321,-3600,484,-1319) (49/18,30/11) -> (30/11,71/26) Parabolic Matrix(321,-880,58,-159) (41/15,11/4) -> (11/2,39/7) Hyperbolic Matrix(521,-1440,72,-199) (11/4,47/17) -> (7/1,29/4) Hyperbolic Matrix(6361,-17600,1720,-4759) (83/30,119/43) -> (159/43,37/10) Hyperbolic Matrix(281,-800,98,-279) (17/6,20/7) -> (20/7,23/8) Parabolic Matrix(281,-880,38,-119) (3/1,22/7) -> (22/3,37/5) Hyperbolic Matrix(121,-400,36,-119) (13/4,10/3) -> (10/3,27/8) Parabolic Matrix(721,-2480,116,-399) (55/16,31/9) -> (31/5,25/4) Hyperbolic Matrix(2521,-8720,682,-2359) (38/11,45/13) -> (85/23,122/33) Hyperbolic Matrix(15601,-57680,3570,-13199) (122/33,159/43) -> (319/73,118/27) Hyperbolic Matrix(1439,-5360,258,-961) (67/18,41/11) -> (39/7,67/12) Hyperbolic Matrix(41,-160,10,-39) (19/5,4/1) -> (4/1,21/5) Parabolic Matrix(121,-800,18,-119) (13/2,20/3) -> (20/3,27/4) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(41,480,24,281) -> Matrix(3,-2,14,-9) Matrix(239,2320,140,1359) -> Matrix(21,-8,92,-35) Matrix(161,1520,34,321) -> Matrix(1,0,2,1) Matrix(241,2080,-176,-1519) -> Matrix(7,-2,4,-1) Matrix(39,320,34,279) -> Matrix(7,-2,32,-9) Matrix(41,320,36,281) -> Matrix(5,-2,28,-11) Matrix(199,1520,-152,-1161) -> Matrix(5,-2,8,-3) Matrix(119,880,-38,-281) -> Matrix(5,-2,18,-7) Matrix(199,1440,-72,-521) -> Matrix(1,0,0,1) Matrix(201,1360,-124,-839) -> Matrix(5,-2,8,-3) Matrix(159,1040,-98,-641) -> Matrix(11,-4,14,-5) Matrix(199,1280,118,759) -> Matrix(1,0,2,1) Matrix(439,2800,-320,-2041) -> Matrix(5,-2,-2,1) Matrix(319,2000,204,1279) -> Matrix(3,-2,14,-9) Matrix(401,2480,-168,-1039) -> Matrix(3,-2,8,-5) Matrix(41,240,-34,-199) -> Matrix(1,0,0,1) Matrix(199,1120,78,439) -> Matrix(5,-2,18,-7) Matrix(159,880,-58,-321) -> Matrix(1,0,0,1) Matrix(119,640,-82,-441) -> Matrix(1,0,0,1) Matrix(121,640,38,201) -> Matrix(1,0,0,1) Matrix(199,1040,84,439) -> Matrix(9,-4,34,-15) Matrix(199,960,-108,-521) -> Matrix(1,0,-2,1) Matrix(401,1920,184,881) -> Matrix(5,-2,18,-7) Matrix(721,3440,520,2481) -> Matrix(1,0,2,1) Matrix(321,1520,34,161) -> Matrix(1,0,2,1) Matrix(879,4160,490,2319) -> Matrix(7,-4,30,-17) Matrix(559,2640,220,1039) -> Matrix(1,-2,4,-7) Matrix(239,1120,-188,-881) -> Matrix(1,0,-4,1) Matrix(121,560,78,361) -> Matrix(7,-2,32,-9) Matrix(559,2560,-402,-1841) -> Matrix(1,0,0,1) Matrix(561,2560,158,721) -> Matrix(1,0,0,1) Matrix(721,3280,264,1201) -> Matrix(1,0,0,1) Matrix(199,880,-154,-681) -> Matrix(1,0,-4,1) Matrix(201,880,-82,-359) -> Matrix(7,-2,18,-5) Matrix(241,1040,130,561) -> Matrix(7,-2,32,-9) Matrix(559,2400,242,1039) -> Matrix(1,0,0,1) Matrix(281,1200,122,521) -> Matrix(5,-2,18,-7) Matrix(39,160,-10,-41) -> Matrix(1,0,0,1) Matrix(481,1840,-418,-1599) -> Matrix(5,-2,8,-3) Matrix(839,3200,-640,-2441) -> Matrix(1,0,0,1) Matrix(359,1360,-222,-841) -> Matrix(5,-2,8,-3) Matrix(879,3280,-622,-2321) -> Matrix(1,0,-2,1) Matrix(881,3280,-408,-1519) -> Matrix(3,-2,8,-5) Matrix(1119,4160,-818,-3041) -> Matrix(1,0,-4,1) Matrix(561,2080,-496,-1839) -> Matrix(7,-2,4,-1) Matrix(799,2960,518,1919) -> Matrix(19,-6,92,-29) Matrix(1559,5760,-1202,-4441) -> Matrix(1,0,-2,1) Matrix(759,2800,-640,-2361) -> Matrix(9,-2,14,-3) Matrix(199,720,-144,-521) -> Matrix(5,-2,8,-3) Matrix(601,2160,234,841) -> Matrix(5,-2,18,-7) Matrix(959,3440,758,2719) -> Matrix(1,0,2,1) Matrix(961,3440,-402,-1439) -> Matrix(3,-2,8,-5) Matrix(719,2560,-562,-2001) -> Matrix(1,0,0,1) Matrix(721,2560,158,561) -> Matrix(1,0,0,1) Matrix(679,2400,260,919) -> Matrix(5,-2,18,-7) Matrix(439,1520,-266,-921) -> Matrix(9,-2,14,-3) Matrix(719,2480,394,1359) -> Matrix(17,-4,64,-15) Matrix(1441,4960,-604,-2079) -> Matrix(15,-4,34,-9) Matrix(1001,3440,268,921) -> Matrix(7,-2,18,-5) Matrix(959,3280,-702,-2401) -> Matrix(1,0,-2,1) Matrix(399,1360,164,559) -> Matrix(5,-2,18,-7) Matrix(119,400,-36,-121) -> Matrix(7,-2,18,-5) Matrix(439,1440,-232,-761) -> Matrix(17,-8,32,-15) Matrix(1319,4320,476,1559) -> Matrix(1,0,2,1) Matrix(319,1040,196,639) -> Matrix(7,-2,32,-9) Matrix(199,640,-162,-521) -> Matrix(1,0,0,1) Matrix(201,640,38,121) -> Matrix(1,0,0,1) Matrix(559,1760,330,1039) -> Matrix(7,-2,32,-9) Matrix(359,1120,192,599) -> Matrix(15,-4,64,-17) Matrix(279,800,-98,-281) -> Matrix(19,-6,54,-17) Matrix(1041,2960,760,2161) -> Matrix(17,-6,88,-31) Matrix(199,560,156,439) -> Matrix(5,-2,28,-11) Matrix(601,1680,-386,-1079) -> Matrix(5,-2,8,-3) Matrix(1521,4240,890,2481) -> Matrix(21,-8,92,-35) Matrix(719,2000,316,879) -> Matrix(9,-4,34,-15) Matrix(721,2000,606,1681) -> Matrix(5,-2,18,-7) Matrix(1761,4880,520,1441) -> Matrix(3,-2,8,-5) Matrix(839,2320,-362,-1001) -> Matrix(1,0,0,1) Matrix(1159,3200,-1000,-2761) -> Matrix(5,-2,8,-3) Matrix(1199,3280,-556,-1521) -> Matrix(3,-2,8,-5) Matrix(1641,4480,-952,-2599) -> Matrix(9,-2,14,-3) Matrix(559,1520,-324,-881) -> Matrix(9,-4,16,-7) Matrix(119,320,74,199) -> Matrix(7,-2,32,-9) Matrix(121,320,76,201) -> Matrix(5,-2,28,-11) Matrix(519,1360,-382,-1001) -> Matrix(5,-2,8,-3) Matrix(2999,7840,-1760,-4601) -> Matrix(29,-12,46,-19) Matrix(919,2400,260,679) -> Matrix(5,-2,18,-7) Matrix(521,1360,-444,-1159) -> Matrix(5,-2,8,-3) Matrix(401,1040,278,721) -> Matrix(5,-2,28,-11) Matrix(3679,9520,-2350,-6081) -> Matrix(5,-2,18,-7) Matrix(6959,18000,2876,7439) -> Matrix(9,-4,34,-15) Matrix(2599,6720,1098,2839) -> Matrix(27,-10,100,-37) Matrix(559,1440,-342,-881) -> Matrix(9,-4,16,-7) Matrix(841,2160,234,601) -> Matrix(5,-2,18,-7) Matrix(4679,12000,1918,4919) -> Matrix(5,-2,18,-7) Matrix(3121,8000,1280,3281) -> Matrix(11,-4,36,-13) Matrix(719,1840,406,1039) -> Matrix(1,0,2,1) Matrix(439,1120,78,199) -> Matrix(5,-2,18,-7) Matrix(1039,2640,220,559) -> Matrix(5,-2,28,-11) Matrix(599,1520,-426,-1081) -> Matrix(5,-2,-2,1) Matrix(1201,2960,-876,-2159) -> Matrix(5,-2,8,-3) Matrix(521,1280,440,1081) -> Matrix(1,0,2,1) Matrix(721,1760,492,1201) -> Matrix(5,-2,28,-11) Matrix(4919,12000,1918,4679) -> Matrix(5,-2,18,-7) Matrix(3281,8000,1280,3121) -> Matrix(11,-4,36,-13) Matrix(559,1360,164,399) -> Matrix(5,-2,18,-7) Matrix(1519,3680,-892,-2161) -> Matrix(89,-36,136,-55) Matrix(3239,7840,-2000,-4841) -> Matrix(29,-12,46,-19) Matrix(959,2320,198,479) -> Matrix(5,-2,-2,1) Matrix(2319,5600,364,879) -> Matrix(29,-12,104,-43) Matrix(961,2320,862,2081) -> Matrix(19,-8,88,-37) Matrix(199,480,182,439) -> Matrix(5,-2,18,-7) Matrix(1759,4240,1128,2719) -> Matrix(19,-8,88,-37) Matrix(599,1440,-250,-601) -> Matrix(1,0,0,1) Matrix(1839,4400,568,1359) -> Matrix(9,-4,34,-15) Matrix(4959,11840,-2882,-6881) -> Matrix(13,-6,24,-11) Matrix(639,1520,-404,-961) -> Matrix(9,-4,16,-7) Matrix(439,1040,84,199) -> Matrix(9,-4,34,-15) Matrix(2839,6720,1098,2599) -> Matrix(23,-10,76,-33) Matrix(879,2080,-778,-1841) -> Matrix(9,-4,-2,1) Matrix(441,1040,-254,-599) -> Matrix(21,-10,40,-19) Matrix(3801,8800,-2332,-5399) -> Matrix(1,-2,2,-3) Matrix(1039,2400,242,559) -> Matrix(1,0,0,1) Matrix(521,1200,122,281) -> Matrix(5,-2,18,-7) Matrix(801,1840,488,1121) -> Matrix(1,0,2,1) Matrix(559,1280,314,719) -> Matrix(21,-8,92,-35) Matrix(561,1280,316,721) -> Matrix(19,-8,88,-37) Matrix(879,2000,316,719) -> Matrix(9,-4,34,-15) Matrix(1199,2720,458,1039) -> Matrix(9,-4,34,-15) Matrix(1801,4080,-1006,-2279) -> Matrix(71,-30,116,-49) Matrix(1521,3440,814,1841) -> Matrix(41,-18,180,-79) Matrix(1841,4160,1452,3281) -> Matrix(9,-4,34,-15) Matrix(359,800,-162,-361) -> Matrix(21,-10,40,-19) Matrix(1121,2480,796,1761) -> Matrix(7,-4,44,-25) Matrix(761,1680,236,521) -> Matrix(3,-2,14,-9) Matrix(439,960,-348,-761) -> Matrix(1,0,-2,1) Matrix(881,1920,184,401) -> Matrix(5,-2,18,-7) Matrix(479,1040,368,799) -> Matrix(5,-2,28,-11) Matrix(1599,3440,892,1919) -> Matrix(43,-18,184,-77) Matrix(521,1120,354,761) -> Matrix(9,-4,52,-23) Matrix(599,1280,168,359) -> Matrix(9,-4,34,-15) Matrix(641,1360,-452,-959) -> Matrix(13,-6,-2,1) Matrix(919,1760,-648,-1241) -> Matrix(9,-4,-2,1) Matrix(679,1280,148,279) -> Matrix(7,-4,30,-17) Matrix(641,1200,86,161) -> Matrix(3,-2,14,-9) Matrix(1841,3440,814,1521) -> Matrix(29,-18,108,-67) Matrix(1201,2240,-986,-1839) -> Matrix(3,-2,8,-5) Matrix(561,1040,130,241) -> Matrix(3,-2,8,-5) Matrix(1039,1920,822,1519) -> Matrix(3,-2,14,-9) Matrix(1001,1840,414,761) -> Matrix(9,-2,32,-7) Matrix(439,800,-242,-441) -> Matrix(21,-10,40,-19) Matrix(839,1520,154,279) -> Matrix(15,-8,62,-33) Matrix(841,1520,244,441) -> Matrix(11,-6,24,-13) Matrix(2319,4160,490,879) -> Matrix(7,-4,30,-17) Matrix(1919,3440,892,1599) -> Matrix(31,-18,112,-65) Matrix(8039,14400,3550,6359) -> Matrix(181,-108,662,-395) Matrix(8041,14400,3552,6361) -> Matrix(179,-108,658,-397) Matrix(761,1360,202,361) -> Matrix(3,-2,14,-9) Matrix(1121,2000,718,1281) -> Matrix(7,-4,30,-17) Matrix(719,1280,314,559) -> Matrix(13,-8,44,-27) Matrix(721,1280,316,561) -> Matrix(11,-8,40,-29) Matrix(1039,1840,406,719) -> Matrix(1,0,2,1) Matrix(679,1200,520,919) -> Matrix(3,-2,14,-9) Matrix(1361,2400,1044,1841) -> Matrix(1,0,4,1) Matrix(1319,2320,-842,-1481) -> Matrix(1,0,0,1) Matrix(919,1600,390,679) -> Matrix(21,-10,82,-39) Matrix(921,1600,392,681) -> Matrix(19,-10,78,-41) Matrix(2401,4160,-1754,-3039) -> Matrix(11,-6,2,-1) Matrix(3881,6720,2380,4121) -> Matrix(17,-10,80,-47) Matrix(601,1040,486,841) -> Matrix(7,-4,30,-17) Matrix(1161,2000,256,441) -> Matrix(3,-2,14,-9) Matrix(1441,2480,-1208,-2079) -> Matrix(3,-2,8,-5) Matrix(14879,25600,6230,10719) -> Matrix(1,0,2,1) Matrix(14881,25600,6232,10721) -> Matrix(1,0,2,1) Matrix(2001,3440,-1442,-2479) -> Matrix(3,-2,8,-5) Matrix(2759,4720,-1988,-3401) -> Matrix(3,-2,8,-5) Matrix(2481,4240,890,1521) -> Matrix(13,-8,44,-27) Matrix(281,480,24,41) -> Matrix(3,-2,14,-9) Matrix(1359,2320,140,239) -> Matrix(13,-8,44,-27) Matrix(1641,2800,446,761) -> Matrix(3,-2,14,-9) Matrix(1079,1840,492,839) -> Matrix(3,-2,20,-13) Matrix(10561,18000,6478,11041) -> Matrix(7,-4,30,-17) Matrix(3759,6400,1550,2639) -> Matrix(85,-56,296,-195) Matrix(3761,6400,1552,2641) -> Matrix(83,-56,292,-197) Matrix(801,1360,566,961) -> Matrix(3,-2,14,-9) Matrix(4719,8000,2878,4879) -> Matrix(5,-4,24,-19) Matrix(7081,12000,4320,7321) -> Matrix(3,-2,14,-9) Matrix(1039,1760,330,559) -> Matrix(3,-2,8,-5) Matrix(521,880,-402,-679) -> Matrix(3,-2,2,-1) Matrix(1159,1920,-894,-1481) -> Matrix(3,-2,2,-1) Matrix(1601,2640,1262,2081) -> Matrix(3,-2,8,-5) Matrix(681,1120,560,921) -> Matrix(3,-2,14,-9) Matrix(1121,1840,488,801) -> Matrix(1,0,2,1) Matrix(4879,8000,2878,4719) -> Matrix(5,-4,24,-19) Matrix(7321,12000,4320,7081) -> Matrix(3,-2,14,-9) Matrix(1319,2160,952,1559) -> Matrix(3,-2,14,-9) Matrix(3919,6400,1518,2479) -> Matrix(49,-32,170,-111) Matrix(3921,6400,1520,2481) -> Matrix(47,-32,166,-113) Matrix(4121,6720,2380,3881) -> Matrix(13,-10,56,-43) Matrix(12121,19760,4638,7561) -> Matrix(11,-8,40,-29) Matrix(26159,42640,-20172,-32881) -> Matrix(3,-2,-4,3) Matrix(1081,1760,320,521) -> Matrix(5,-4,14,-11) Matrix(1481,2400,1062,1721) -> Matrix(3,-2,14,-9) Matrix(12199,19760,4716,7639) -> Matrix(13,-8,44,-27) Matrix(1681,2720,940,1521) -> Matrix(7,-4,30,-17) Matrix(199,320,74,119) -> Matrix(3,-2,8,-5) Matrix(201,320,76,121) -> Matrix(1,-2,4,-7) Matrix(2279,3600,-1444,-2281) -> Matrix(3,-2,2,-1) Matrix(2079,3280,1622,2559) -> Matrix(1,0,4,1) Matrix(559,880,-458,-721) -> Matrix(1,0,0,1) Matrix(919,1440,-792,-1241) -> Matrix(1,0,0,1) Matrix(11239,17600,-8200,-12841) -> Matrix(1,0,0,1) Matrix(2761,4320,1918,3001) -> Matrix(1,0,2,1) Matrix(1279,2000,204,319) -> Matrix(3,-2,14,-9) Matrix(1281,2000,718,1121) -> Matrix(7,-4,30,-17) Matrix(2719,4240,1128,1759) -> Matrix(11,-8,40,-29) Matrix(9239,14400,3310,5159) -> Matrix(7,-6,20,-17) Matrix(9241,14400,3312,5161) -> Matrix(5,-6,16,-19) Matrix(361,560,78,121) -> Matrix(3,-2,8,-5) Matrix(519,800,-338,-521) -> Matrix(7,-6,6,-5) Matrix(681,1040,184,281) -> Matrix(1,0,2,1) Matrix(599,880,-518,-761) -> Matrix(1,-2,2,-3) Matrix(1201,1760,492,721) -> Matrix(1,-2,4,-7) Matrix(439,640,356,519) -> Matrix(1,0,4,1) Matrix(1159,1680,634,919) -> Matrix(5,-2,18,-7) Matrix(1879,2720,248,359) -> Matrix(1,0,2,1) Matrix(3041,4400,1770,2561) -> Matrix(7,-4,30,-17) Matrix(279,400,-196,-281) -> Matrix(3,-2,2,-1) Matrix(1239,1760,478,679) -> Matrix(3,-4,10,-13) Matrix(3439,4880,2198,3119) -> Matrix(1,-2,4,-7) Matrix(28199,40000,8318,11799) -> Matrix(1,-30,2,-59) Matrix(28201,40000,8320,11801) -> Matrix(1,30,2,61) Matrix(961,1360,566,801) -> Matrix(3,-2,14,-9) Matrix(2039,2880,594,839) -> Matrix(3,-2,8,-5) Matrix(2041,2880,596,841) -> Matrix(1,-2,4,-7) Matrix(1759,2480,-1476,-2081) -> Matrix(1,-2,2,-3) Matrix(1079,1520,482,679) -> Matrix(1,-6,4,-23) Matrix(6199,8720,-4522,-6361) -> Matrix(1,0,2,1) Matrix(1721,2400,1062,1481) -> Matrix(3,-2,14,-9) Matrix(1839,2560,1436,1999) -> Matrix(1,0,4,1) Matrix(921,1280,490,681) -> Matrix(7,-4,30,-17) Matrix(4841,6720,894,1241) -> Matrix(3,-2,14,-9) Matrix(2481,3440,520,721) -> Matrix(1,0,2,1) Matrix(1559,2160,952,1319) -> Matrix(3,-2,14,-9) Matrix(1159,1600,318,439) -> Matrix(5,-4,14,-11) Matrix(1161,1600,320,441) -> Matrix(3,-4,10,-13) Matrix(2039,2800,844,1159) -> Matrix(5,-2,18,-7) Matrix(42079,57680,-32450,-44481) -> Matrix(3,-2,2,-1) Matrix(759,1040,262,359) -> Matrix(1,0,2,1) Matrix(18719,25600,5030,6879) -> Matrix(1,0,8,1) Matrix(18721,25600,5032,6881) -> Matrix(1,0,-4,1) Matrix(3921,5360,-3218,-4399) -> Matrix(1,0,0,1) Matrix(2519,3440,1786,2439) -> Matrix(1,-2,6,-11) Matrix(999,1360,440,599) -> Matrix(5,-2,18,-7) Matrix(119,160,-90,-121) -> Matrix(1,0,0,1) Matrix(4879,6400,1158,1519) -> Matrix(1,0,6,1) Matrix(4881,6400,1160,1521) -> Matrix(1,0,-2,1) Matrix(3481,4560,642,841) -> Matrix(3,-2,14,-9) Matrix(919,1200,520,679) -> Matrix(3,-2,14,-9) Matrix(1841,2400,1044,1361) -> Matrix(1,0,4,1) Matrix(799,1040,368,479) -> Matrix(1,-2,4,-7) Matrix(801,1040,124,161) -> Matrix(1,-2,4,-7) Matrix(208519,270400,47718,61879) -> Matrix(3,-2,8,-5) Matrix(208521,270400,47720,61881) -> Matrix(1,-2,4,-7) Matrix(1239,1600,278,359) -> Matrix(1,0,6,1) Matrix(1241,1600,280,361) -> Matrix(1,0,-2,1) Matrix(1559,2000,654,839) -> Matrix(5,-2,18,-7) Matrix(1999,2560,1436,1839) -> Matrix(1,0,4,1) Matrix(1001,1280,470,601) -> Matrix(9,-4,34,-15) Matrix(439,560,156,199) -> Matrix(1,-2,4,-7) Matrix(5039,6400,1070,1359) -> Matrix(1,0,14,1) Matrix(5041,6400,1072,1361) -> Matrix(1,0,-10,1) Matrix(2081,2640,1262,1601) -> Matrix(7,-2,32,-9) Matrix(3281,4160,1452,1841) -> Matrix(9,-4,34,-15) Matrix(1199,1520,1072,1359) -> Matrix(1,0,2,1) Matrix(2719,3440,758,959) -> Matrix(1,0,2,1) Matrix(1519,1920,822,1039) -> Matrix(3,-2,14,-9) Matrix(1841,2320,1080,1361) -> Matrix(5,2,22,9) Matrix(841,1040,486,601) -> Matrix(7,-4,30,-17) Matrix(519,640,356,439) -> Matrix(1,0,4,1) Matrix(5479,6720,1532,1879) -> Matrix(5,-2,18,-7) Matrix(3719,4560,880,1079) -> Matrix(5,-2,18,-7) Matrix(1241,1520,556,681) -> Matrix(17,-8,66,-31) Matrix(921,1120,560,681) -> Matrix(3,-2,14,-9) Matrix(1319,1600,230,279) -> Matrix(1,0,4,1) Matrix(1321,1600,232,281) -> Matrix(1,0,0,1) Matrix(1681,2000,606,721) -> Matrix(5,-2,18,-7) Matrix(4721,5600,2766,3281) -> Matrix(19,-12,84,-53) Matrix(879,1040,202,239) -> Matrix(3,-2,8,-5) Matrix(679,800,-578,-681) -> Matrix(3,-2,2,-1) Matrix(5519,6400,758,879) -> Matrix(1,0,2,1) Matrix(5521,6400,760,881) -> Matrix(1,0,2,1) Matrix(1039,1200,484,559) -> Matrix(5,-2,18,-7) Matrix(2361,2720,730,841) -> Matrix(1,0,2,1) Matrix(279,320,34,39) -> Matrix(3,-2,8,-5) Matrix(281,320,36,41) -> Matrix(1,-2,4,-7) Matrix(1359,1520,1072,1199) -> Matrix(1,0,2,1) Matrix(2081,2320,862,961) -> Matrix(11,-8,40,-29) Matrix(439,480,182,199) -> Matrix(5,-2,18,-7) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(1839,-2080,496,-561) -> Matrix(11,-2,28,-5) Matrix(1321,-1520,312,-359) -> Matrix(9,-2,32,-7) Matrix(761,-880,518,-599) -> Matrix(9,-2,50,-11) Matrix(1241,-1440,792,-919) -> Matrix(1,0,0,1) Matrix(1159,-1360,444,-521) -> Matrix(9,-2,32,-7) Matrix(881,-1040,338,-399) -> Matrix(19,-4,62,-13) Matrix(2361,-2800,640,-759) -> Matrix(9,-2,14,-3) Matrix(2079,-2480,1208,-1441) -> Matrix(7,-2,32,-9) Matrix(199,-240,34,-41) -> Matrix(1,0,0,1) Matrix(721,-880,458,-559) -> Matrix(1,0,0,1) Matrix(521,-640,162,-199) -> Matrix(1,0,0,1) Matrix(761,-960,348,-439) -> Matrix(1,0,-2,1) Matrix(881,-1120,188,-239) -> Matrix(1,0,-4,1) Matrix(2001,-2560,562,-719) -> Matrix(1,0,0,1) Matrix(681,-880,154,-199) -> Matrix(1,0,-4,1) Matrix(679,-880,402,-521) -> Matrix(11,-2,50,-9) Matrix(121,-160,90,-119) -> Matrix(1,0,0,1) Matrix(1359,-1840,178,-241) -> Matrix(9,-2,32,-7) Matrix(2361,-3200,560,-759) -> Matrix(1,0,0,1) Matrix(1001,-1360,382,-519) -> Matrix(9,-2,32,-7) Matrix(2401,-3280,702,-959) -> Matrix(1,0,-2,1) Matrix(2399,-3280,1288,-1761) -> Matrix(7,-2,32,-9) Matrix(3041,-4160,818,-1119) -> Matrix(1,0,-4,1) Matrix(1519,-2080,176,-241) -> Matrix(11,-2,28,-5) Matrix(4201,-5760,962,-1319) -> Matrix(1,0,-2,1) Matrix(2041,-2800,320,-439) -> Matrix(13,-2,46,-7) Matrix(521,-720,144,-199) -> Matrix(9,-2,32,-7) Matrix(2479,-3440,1442,-2001) -> Matrix(7,-2,32,-9) Matrix(1841,-2560,402,-559) -> Matrix(1,0,0,1) Matrix(1081,-1520,426,-599) -> Matrix(13,-2,46,-7) Matrix(3519,-4960,2044,-2881) -> Matrix(23,-4,98,-17) Matrix(2321,-3280,622,-879) -> Matrix(1,0,-2,1) Matrix(281,-400,196,-279) -> Matrix(11,-2,50,-9) Matrix(1001,-1440,472,-679) -> Matrix(33,-8,128,-31) Matrix(441,-640,82,-119) -> Matrix(1,0,0,1) Matrix(521,-800,338,-519) -> Matrix(31,-6,150,-29) Matrix(1079,-1680,386,-601) -> Matrix(9,-2,32,-7) Matrix(1481,-2320,842,-1319) -> Matrix(1,0,0,1) Matrix(2041,-3200,280,-439) -> Matrix(9,-2,32,-7) Matrix(2081,-3280,1116,-1759) -> Matrix(7,-2,32,-9) Matrix(2839,-4480,1192,-1881) -> Matrix(13,-2,46,-7) Matrix(961,-1520,404,-639) -> Matrix(17,-4,64,-15) Matrix(841,-1360,222,-359) -> Matrix(9,-2,32,-7) Matrix(4841,-7840,2000,-3239) -> Matrix(53,-12,190,-43) Matrix(839,-1360,124,-201) -> Matrix(9,-2,32,-7) Matrix(5841,-9520,2110,-3439) -> Matrix(9,-2,50,-11) Matrix(881,-1440,342,-559) -> Matrix(17,-4,64,-15) Matrix(921,-1520,266,-439) -> Matrix(9,-2,14,-3) Matrix(1759,-2960,476,-801) -> Matrix(9,-2,32,-7) Matrix(2161,-3680,892,-1519) -> Matrix(161,-36,568,-127) Matrix(4601,-7840,1760,-2999) -> Matrix(53,-12,190,-43) Matrix(841,-1440,490,-839) -> Matrix(1,0,0,1) Matrix(6881,-11840,2882,-4959) -> Matrix(25,-6,96,-23) Matrix(881,-1520,324,-559) -> Matrix(17,-4,64,-15) Matrix(1201,-2080,138,-239) -> Matrix(17,-4,30,-7) Matrix(599,-1040,254,-441) -> Matrix(41,-10,160,-39) Matrix(4999,-8800,1932,-3401) -> Matrix(5,-2,18,-7) Matrix(2279,-4080,1006,-1801) -> Matrix(131,-30,476,-109) Matrix(441,-800,242,-439) -> Matrix(41,-10,160,-39) Matrix(521,-960,108,-199) -> Matrix(1,0,-2,1) Matrix(719,-1360,212,-401) -> Matrix(25,-6,46,-11) Matrix(841,-1760,248,-519) -> Matrix(17,-4,30,-7) Matrix(1039,-2240,186,-401) -> Matrix(7,-2,32,-9) Matrix(361,-800,162,-359) -> Matrix(41,-10,160,-39) Matrix(1001,-2320,362,-839) -> Matrix(1,0,0,1) Matrix(1759,-4160,474,-1121) -> Matrix(23,-6,50,-13) Matrix(1039,-2480,168,-401) -> Matrix(7,-2,32,-9) Matrix(1439,-3440,402,-961) -> Matrix(7,-2,32,-9) Matrix(1961,-4720,548,-1319) -> Matrix(7,-2,32,-9) Matrix(359,-880,82,-201) -> Matrix(7,-2,18,-5) Matrix(761,-1920,174,-439) -> Matrix(7,-2,18,-5) Matrix(16481,-42640,3772,-9759) -> Matrix(7,-2,4,-1) Matrix(1321,-3600,484,-1319) -> Matrix(7,-2,18,-5) Matrix(321,-880,58,-159) -> Matrix(1,0,0,1) Matrix(521,-1440,72,-199) -> Matrix(1,0,0,1) Matrix(6361,-17600,1720,-4759) -> Matrix(1,0,0,1) Matrix(281,-800,98,-279) -> Matrix(19,-6,54,-17) Matrix(281,-880,38,-119) -> Matrix(5,-2,18,-7) Matrix(121,-400,36,-119) -> Matrix(7,-2,18,-5) Matrix(721,-2480,116,-399) -> Matrix(5,-2,18,-7) Matrix(2521,-8720,682,-2359) -> Matrix(1,0,2,1) Matrix(15601,-57680,3570,-13199) -> Matrix(7,-2,18,-5) Matrix(1439,-5360,258,-961) -> Matrix(1,0,0,1) Matrix(41,-160,10,-39) -> Matrix(1,0,0,1) Matrix(121,-800,18,-119) -> Matrix(7,-2,18,-5) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 76 Degree of the the map X: 76 Degree of the the map Y: 384 ----------------------------------------------------------------------- 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): 1152 Minimal number of generators: 193 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: 80 Genus: 57 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 10/9 8/7 20/17 5/4 4/3 10/7 20/13 30/19 8/5 5/3 12/7 16/9 20/11 2/1 24/11 20/9 120/53 16/7 30/13 40/17 160/67 12/5 80/33 100/41 5/2 28/11 100/39 80/31 8/3 30/11 36/13 120/43 20/7 3/1 16/5 10/3 44/13 200/59 24/7 32/9 25/7 18/5 40/11 48/13 160/43 56/15 15/4 34/9 4/1 80/19 30/7 520/119 40/9 32/7 14/3 80/17 24/5 5/1 16/3 11/2 28/5 40/7 6/1 25/4 32/5 13/2 20/3 7/1 80/11 22/3 15/2 38/5 8/1 17/2 26/3 9/1 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES 0/1 0/1 1/1 0/1 1/5 10/9 1/5 19/17 1/4 2/7 9/8 0/1 1/4 17/15 0/1 1/5 8/7 1/5 23/20 1/5 2/9 15/13 0/1 2/9 22/19 1/4 7/6 0/1 1/4 20/17 1/5 13/11 1/5 2/9 32/27 2/9 19/16 6/25 1/4 25/21 0/1 6/5 1/4 17/14 0/1 1/5 28/23 0/1 1/5 1/4 11/9 1/5 1/4 16/13 0/1 21/17 0/1 1/4 5/4 0/1 24/19 1/5 43/34 1/5 1/4 19/15 2/9 1/4 71/56 0/1 1/4 52/41 0/1 1/3 1/2 33/26 0/1 1/0 14/11 1/6 23/18 1/5 2/9 32/25 0/1 41/32 0/1 1/5 9/7 0/1 1/4 22/17 1/6 13/10 0/1 1/5 43/33 1/6 1/5 30/23 1/5 17/13 0/1 1/5 4/3 0/1 1/5 1/4 23/17 0/1 1/5 42/31 1/4 19/14 0/1 1/6 15/11 0/1 41/30 0/1 1/5 67/49 0/1 1/3 26/19 1/6 63/46 2/11 1/5 37/27 1/5 1/4 48/35 0/1 11/8 1/6 1/5 18/13 1/4 61/44 2/9 1/4 43/31 1/5 1/4 25/18 0/1 2/9 32/23 0/1 39/28 0/1 1/5 7/5 0/1 1/4 38/27 1/6 31/22 1/6 2/11 55/39 2/11 24/17 1/5 41/29 0/1 1/5 17/12 0/1 1/7 10/7 1/5 23/16 2/9 3/13 59/41 1/4 8/31 36/25 0/1 1/4 1/3 13/9 0/1 1/5 16/11 0/1 19/13 0/1 1/6 22/15 1/6 25/17 0/1 2/11 3/2 1/5 1/4 20/13 1/5 37/24 1/5 7/34 17/11 1/5 4/19 14/9 1/4 53/34 1/5 4/19 39/25 1/5 2/9 25/16 2/9 61/39 8/33 1/4 36/23 0/1 1/5 1/4 47/30 0/1 1/4 58/37 1/4 11/7 1/5 1/4 52/33 0/1 1/5 1/4 41/26 0/1 1/5 30/19 1/5 19/12 0/1 1/4 8/5 1/5 21/13 3/14 2/9 34/21 3/14 81/50 1/5 2/9 47/29 2/9 1/4 13/8 1/5 2/9 44/27 3/14 5/23 2/9 119/73 5/23 2/9 75/46 2/9 31/19 7/32 2/9 18/11 1/4 59/36 0/1 1/4 100/61 1/5 41/25 1/5 2/9 23/14 1/5 2/9 28/17 1/5 2/9 1/4 33/20 2/9 5/22 5/3 0/1 2/9 32/19 2/9 27/16 1/5 2/9 22/13 1/4 61/36 2/9 1/4 100/59 1/5 39/23 1/5 2/9 17/10 5/23 2/9 46/27 9/40 75/44 2/9 29/17 5/22 3/13 99/58 5/22 18/79 70/41 3/13 41/24 2/9 3/13 53/31 3/13 4/17 12/7 2/9 3/13 1/4 67/39 3/13 4/17 55/32 2/9 4/17 43/25 3/13 1/4 74/43 1/4 105/61 2/9 31/18 2/9 1/4 19/11 4/17 1/4 45/26 4/17 71/41 4/17 9/38 26/15 1/4 7/4 0/1 1/4 44/25 0/1 1/5 1/4 37/21 1/5 1/4 30/17 1/5 23/13 1/5 2/9 39/22 1/5 2/9 16/9 2/9 41/23 2/9 3/13 25/14 2/9 34/19 5/22 43/24 3/13 13/56 52/29 3/13 7/30 4/17 9/5 4/17 1/4 20/11 1/4 31/17 1/4 6/23 42/23 1/4 11/6 1/4 1/3 24/13 1/5 37/20 1/5 1/4 13/7 1/5 2/9 41/22 2/9 3/13 28/15 2/9 3/13 1/4 43/23 3/13 7/30 15/8 2/9 4/17 17/9 5/21 6/25 2/1 1/4 19/9 1/4 16/63 17/8 6/23 5/19 15/7 4/15 2/7 43/20 7/26 3/11 28/13 1/4 3/11 2/7 13/6 2/7 1/3 37/17 1/4 1/3 24/11 1/3 35/16 0/1 11/5 1/5 1/4 20/9 1/4 29/13 1/4 9/35 38/17 1/4 9/4 1/4 4/15 52/23 4/15 7/26 3/11 43/19 13/48 3/11 120/53 3/11 77/34 3/11 23/84 34/15 5/18 25/11 2/7 41/18 3/11 2/7 16/7 2/7 39/17 2/7 1/3 23/10 2/7 1/3 30/13 1/3 37/16 1/4 1/3 7/3 0/1 1/4 40/17 1/4 33/14 1/4 10/39 26/11 1/4 71/30 9/34 4/15 45/19 4/15 19/8 1/4 4/15 50/21 3/11 81/34 3/11 2/7 31/13 1/4 2/7 74/31 1/4 117/49 1/4 3/11 160/67 4/15 2/7 43/18 1/4 3/11 12/5 1/4 3/11 2/7 53/22 4/15 3/11 41/17 3/11 2/7 70/29 3/11 99/41 18/65 5/18 29/12 3/11 5/18 75/31 2/7 121/50 7/25 2/7 46/19 9/32 63/26 23/81 2/7 80/33 2/7 17/7 2/7 5/17 39/16 2/7 1/3 100/41 1/3 61/25 1/4 2/7 22/9 1/4 5/2 0/1 2/7 38/15 1/4 33/13 5/18 2/7 28/11 1/4 2/7 1/3 23/9 2/7 1/3 41/16 2/7 1/3 100/39 1/3 59/23 0/1 1/4 18/7 1/4 49/19 9/32 2/7 80/31 2/7 31/12 2/7 7/24 75/29 2/7 119/46 2/7 5/17 163/63 5/17 3/10 44/17 2/7 5/17 3/10 13/5 2/7 1/3 60/23 1/3 47/18 1/4 2/7 81/31 2/7 1/3 115/44 2/7 34/13 3/10 55/21 2/7 21/8 2/7 3/10 8/3 1/3 19/7 0/1 1/4 49/18 1/4 2/7 30/11 1/3 71/26 0/1 1/2 41/15 0/1 1/3 11/4 1/4 1/3 47/17 0/1 1/4 83/30 1/4 1/3 119/43 0/1 1/3 36/13 0/1 1/4 1/3 61/22 1/4 8/31 25/9 2/7 39/14 2/7 1/3 53/19 4/13 1/3 120/43 1/3 67/24 1/3 2/5 14/5 1/4 17/6 4/13 1/3 20/7 1/3 23/8 1/3 2/5 3/1 1/4 1/3 22/7 1/2 19/6 0/1 1/2 16/5 0/1 29/9 1/5 1/4 42/13 1/4 55/17 0/1 2/7 13/4 0/1 1/3 10/3 1/3 27/8 1/3 2/5 44/13 2/5 3/7 1/2 61/18 10/21 1/2 200/59 1/2 139/41 1/2 20/39 78/23 1/2 17/5 0/1 1/1 41/12 0/1 1/3 65/19 0/1 24/7 1/3 55/16 2/5 31/9 2/5 1/2 38/11 1/2 45/13 0/1 2/3 7/2 0/1 1/4 39/11 0/1 1/3 32/9 0/1 57/16 1/5 2/9 25/7 0/1 2/7 93/26 2/7 1/3 68/19 0/1 1/4 1/3 43/12 1/4 1/3 61/17 1/4 2/7 18/5 1/4 29/8 3/10 1/3 40/11 1/3 11/3 1/3 1/2 59/16 4/9 1/2 48/13 0/1 85/23 0/1 2/7 122/33 1/4 159/43 0/1 1/3 37/10 1/4 1/3 63/17 1/3 2/5 89/24 3/8 2/5 26/7 1/2 93/25 -1/1 0/1 160/43 0/1 67/18 0/1 1/5 41/11 0/1 1/3 56/15 1/3 15/4 0/1 34/9 1/2 19/5 0/1 1/2 4/1 0/1 1/4 1/3 21/5 0/1 1/2 80/19 0/1 59/14 0/1 1/6 38/9 1/4 55/13 0/1 2/7 17/4 0/1 1/3 30/7 1/3 43/10 1/3 1/2 13/3 0/1 1/3 48/11 0/1 83/19 1/3 1/2 201/46 0/1 1/3 520/119 1/3 319/73 1/3 2/5 118/27 1/2 35/8 0/1 2/5 22/5 1/2 31/7 0/1 1/0 40/9 0/1 9/2 0/1 1/4 41/9 0/1 1/3 32/7 0/1 55/12 0/1 2/9 23/5 2/7 1/3 14/3 1/2 47/10 -1/4 0/1 80/17 0/1 33/7 0/1 1/8 52/11 0/1 1/6 1/5 71/15 0/1 1/4 19/4 1/4 2/7 43/9 1/4 1/3 24/5 1/3 29/6 1/2 1/1 5/1 0/1 21/4 0/1 1/4 16/3 0/1 27/5 0/1 1/5 65/12 0/1 2/9 38/7 1/4 11/2 1/4 1/3 39/7 0/1 1/3 67/12 0/1 1/5 28/5 0/1 1/4 1/3 17/3 0/1 1/3 40/7 0/1 23/4 0/1 1/5 6/1 1/4 31/5 0/1 1/4 25/4 0/1 19/3 1/4 6/23 51/8 1/4 3/11 32/5 2/7 13/2 2/7 1/3 20/3 1/3 27/4 0/1 1/3 7/1 0/1 1/4 29/4 1/4 1/3 80/11 0/1 2/7 51/7 1/4 1/3 22/3 1/4 37/5 3/10 1/3 15/2 0/1 2/7 38/5 1/4 23/3 2/7 1/3 8/1 1/3 17/2 0/1 1/3 26/3 1/2 9/1 0/1 1/4 19/2 2/9 1/4 10/1 1/3 1/0 0/1 1/3 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,1,1) (0/1,1/0) -> (0/1,1/1) Parabolic Matrix(439,-480,257,-281) (1/1,10/9) -> (70/41,41/24) Hyperbolic Matrix(2081,-2320,1219,-1359) (10/9,19/17) -> (99/58,70/41) Hyperbolic Matrix(1359,-1520,287,-321) (19/17,9/8) -> (71/15,19/4) Hyperbolic Matrix(1839,-2080,496,-561) (9/8,17/15) -> (63/17,89/24) Hyperbolic Matrix(281,-320,245,-279) (17/15,8/7) -> (8/7,23/20) Parabolic Matrix(1321,-1520,312,-359) (23/20,15/13) -> (55/13,17/4) Hyperbolic Matrix(761,-880,518,-599) (15/13,22/19) -> (22/15,25/17) Hyperbolic Matrix(1241,-1440,792,-919) (22/19,7/6) -> (47/30,58/37) Hyperbolic Matrix(1159,-1360,444,-521) (7/6,20/17) -> (60/23,47/18) Hyperbolic Matrix(881,-1040,338,-399) (20/17,13/11) -> (13/5,60/23) Hyperbolic Matrix(1081,-1280,641,-759) (13/11,32/27) -> (32/19,27/16) Hyperbolic Matrix(2361,-2800,640,-759) (32/27,19/16) -> (59/16,48/13) Hyperbolic Matrix(1681,-2000,1075,-1279) (19/16,25/21) -> (25/16,61/39) Hyperbolic Matrix(2079,-2480,1208,-1441) (25/21,6/5) -> (74/43,105/61) Hyperbolic Matrix(199,-240,34,-41) (6/5,17/14) -> (23/4,6/1) Hyperbolic Matrix(921,-1120,361,-439) (17/14,28/23) -> (28/11,23/9) Hyperbolic Matrix(721,-880,458,-559) (28/23,11/9) -> (11/7,52/33) Hyperbolic Matrix(521,-640,162,-199) (11/9,16/13) -> (16/5,29/9) Hyperbolic Matrix(519,-640,163,-201) (16/13,21/17) -> (19/6,16/5) Hyperbolic Matrix(841,-1040,355,-439) (21/17,5/4) -> (45/19,19/8) Hyperbolic Matrix(761,-960,348,-439) (5/4,24/19) -> (24/11,35/16) Hyperbolic Matrix(1519,-1920,697,-881) (24/19,43/34) -> (37/17,24/11) Hyperbolic Matrix(2719,-3440,1961,-2481) (43/34,19/15) -> (61/44,43/31) Hyperbolic Matrix(1199,-1520,127,-161) (19/15,71/56) -> (9/1,19/2) Hyperbolic Matrix(3281,-4160,1829,-2319) (71/56,52/41) -> (52/29,9/5) Hyperbolic Matrix(2081,-2640,819,-1039) (52/41,33/26) -> (33/13,28/11) Hyperbolic Matrix(881,-1120,188,-239) (33/26,14/11) -> (14/3,47/10) Hyperbolic Matrix(439,-560,283,-361) (14/11,23/18) -> (17/11,14/9) Hyperbolic Matrix(2001,-2560,562,-719) (23/18,32/25) -> (32/9,57/16) Hyperbolic Matrix(1999,-2560,563,-721) (32/25,41/32) -> (39/11,32/9) Hyperbolic Matrix(2559,-3280,937,-1201) (41/32,9/7) -> (71/26,41/15) Hyperbolic Matrix(681,-880,154,-199) (9/7,22/17) -> (22/5,31/7) Hyperbolic Matrix(679,-880,402,-521) (22/17,13/10) -> (27/16,22/13) Hyperbolic Matrix(799,-1040,431,-561) (13/10,43/33) -> (37/20,13/7) Hyperbolic Matrix(1841,-2400,797,-1039) (43/33,30/23) -> (30/13,37/16) Hyperbolic Matrix(919,-1200,399,-521) (30/23,17/13) -> (23/10,30/13) Hyperbolic Matrix(121,-160,90,-119) (17/13,4/3) -> (4/3,23/17) Parabolic Matrix(1359,-1840,178,-241) (23/17,42/31) -> (38/5,23/3) Hyperbolic Matrix(2361,-3200,560,-759) (42/31,19/14) -> (59/14,38/9) Hyperbolic Matrix(1001,-1360,382,-519) (19/14,15/11) -> (55/21,21/8) Hyperbolic Matrix(2401,-3280,702,-959) (15/11,41/30) -> (41/12,65/19) Hyperbolic Matrix(2399,-3280,1288,-1761) (41/30,67/49) -> (13/7,41/22) Hyperbolic Matrix(3041,-4160,818,-1119) (67/49,26/19) -> (26/7,93/25) Hyperbolic Matrix(1519,-2080,176,-241) (26/19,63/46) -> (17/2,26/3) Hyperbolic Matrix(2161,-2960,1401,-1919) (63/46,37/27) -> (37/24,17/11) Hyperbolic Matrix(4201,-5760,962,-1319) (37/27,48/35) -> (48/11,83/19) Hyperbolic Matrix(2041,-2800,320,-439) (48/35,11/8) -> (51/8,32/5) Hyperbolic Matrix(521,-720,144,-199) (11/8,18/13) -> (18/5,29/8) Hyperbolic Matrix(1559,-2160,607,-841) (18/13,61/44) -> (59/23,18/7) Hyperbolic Matrix(2479,-3440,1442,-2001) (43/31,25/18) -> (55/32,43/25) Hyperbolic Matrix(1841,-2560,402,-559) (25/18,32/23) -> (32/7,55/12) Hyperbolic Matrix(1839,-2560,403,-561) (32/23,39/28) -> (41/9,32/7) Hyperbolic Matrix(1721,-2400,659,-919) (39/28,7/5) -> (47/18,81/31) Hyperbolic Matrix(1081,-1520,426,-599) (7/5,38/27) -> (38/15,33/13) Hyperbolic Matrix(1761,-2480,965,-1359) (38/27,31/22) -> (31/17,42/23) Hyperbolic Matrix(3519,-4960,2044,-2881) (31/22,55/39) -> (105/61,31/18) Hyperbolic Matrix(2439,-3440,653,-921) (55/39,24/17) -> (56/15,15/4) Hyperbolic Matrix(2321,-3280,622,-879) (24/17,41/29) -> (41/11,56/15) Hyperbolic Matrix(961,-1360,395,-559) (41/29,17/12) -> (17/7,39/16) Hyperbolic Matrix(281,-400,196,-279) (17/12,10/7) -> (10/7,23/16) Parabolic Matrix(1001,-1440,472,-679) (23/16,59/41) -> (19/9,17/8) Hyperbolic Matrix(3001,-4320,1083,-1559) (59/41,36/25) -> (36/13,61/22) Hyperbolic Matrix(721,-1040,443,-639) (36/25,13/9) -> (13/8,44/27) Hyperbolic Matrix(441,-640,82,-119) (13/9,16/11) -> (16/3,27/5) Hyperbolic Matrix(439,-640,83,-121) (16/11,19/13) -> (21/4,16/3) Hyperbolic Matrix(1201,-1760,709,-1039) (19/13,22/15) -> (22/13,61/36) Hyperbolic Matrix(761,-1120,407,-599) (25/17,3/2) -> (43/23,15/8) Hyperbolic Matrix(521,-800,338,-519) (3/2,20/13) -> (20/13,37/24) Parabolic Matrix(1079,-1680,386,-601) (14/9,53/34) -> (67/24,14/5) Hyperbolic Matrix(2719,-4240,1591,-2481) (53/34,39/25) -> (41/24,53/31) Hyperbolic Matrix(1281,-2000,563,-879) (39/25,25/16) -> (25/11,41/18) Hyperbolic Matrix(3119,-4880,921,-1441) (61/39,36/23) -> (44/13,61/18) Hyperbolic Matrix(1481,-2320,842,-1319) (36/23,47/30) -> (7/4,44/25) Hyperbolic Matrix(2041,-3200,280,-439) (58/37,11/7) -> (51/7,22/3) Hyperbolic Matrix(2081,-3280,1116,-1759) (52/33,41/26) -> (41/22,28/15) Hyperbolic Matrix(2839,-4480,1192,-1881) (41/26,30/19) -> (50/21,81/34) Hyperbolic Matrix(961,-1520,404,-639) (30/19,19/12) -> (19/8,50/21) Hyperbolic Matrix(201,-320,125,-199) (19/12,8/5) -> (8/5,21/13) Parabolic Matrix(841,-1360,222,-359) (21/13,34/21) -> (34/9,19/5) Hyperbolic Matrix(4841,-7840,2000,-3239) (34/21,81/50) -> (121/50,46/19) Hyperbolic Matrix(1481,-2400,419,-679) (81/50,47/29) -> (7/2,39/11) Hyperbolic Matrix(839,-1360,124,-201) (47/29,13/8) -> (27/4,7/1) Hyperbolic Matrix(5841,-9520,2110,-3439) (44/27,119/73) -> (119/43,36/13) Hyperbolic Matrix(11041,-18000,4563,-7439) (119/73,75/46) -> (75/31,121/50) Hyperbolic Matrix(4121,-6720,1741,-2839) (75/46,31/19) -> (71/30,45/19) Hyperbolic Matrix(881,-1440,342,-559) (31/19,18/11) -> (18/7,49/19) Hyperbolic Matrix(1319,-2160,367,-601) (18/11,59/36) -> (61/17,18/5) Hyperbolic Matrix(7321,-12000,3001,-4919) (59/36,100/61) -> (100/41,61/25) Hyperbolic Matrix(4879,-8000,2001,-3281) (100/61,41/25) -> (39/16,100/41) Hyperbolic Matrix(1121,-1840,633,-1039) (41/25,23/14) -> (23/13,39/22) Hyperbolic Matrix(681,-1120,121,-199) (23/14,28/17) -> (28/5,17/3) Hyperbolic Matrix(1601,-2640,339,-559) (28/17,33/20) -> (33/7,52/11) Hyperbolic Matrix(921,-1520,266,-439) (33/20,5/3) -> (45/13,7/2) Hyperbolic Matrix(1759,-2960,476,-801) (5/3,32/19) -> (48/13,85/23) Hyperbolic Matrix(7081,-12000,2761,-4679) (61/36,100/59) -> (100/39,59/23) Hyperbolic Matrix(4719,-8000,1841,-3121) (100/59,39/23) -> (41/16,100/39) Hyperbolic Matrix(801,-1360,235,-399) (39/23,17/10) -> (17/5,41/12) Hyperbolic Matrix(2161,-3680,892,-1519) (17/10,46/27) -> (46/19,63/26) Hyperbolic Matrix(4601,-7840,1760,-2999) (46/27,75/44) -> (115/44,34/13) Hyperbolic Matrix(1361,-2320,281,-479) (75/44,29/17) -> (29/6,5/1) Hyperbolic Matrix(3281,-5600,515,-879) (29/17,99/58) -> (19/3,51/8) Hyperbolic Matrix(841,-1440,490,-839) (53/31,12/7) -> (12/7,67/39) Parabolic Matrix(2561,-4400,791,-1359) (67/39,55/32) -> (55/17,13/4) Hyperbolic Matrix(6881,-11840,2882,-4959) (43/25,74/43) -> (74/31,117/49) Hyperbolic Matrix(881,-1520,324,-559) (31/18,19/11) -> (19/7,49/18) Hyperbolic Matrix(601,-1040,115,-199) (19/11,45/26) -> (5/1,21/4) Hyperbolic Matrix(3881,-6720,1501,-2599) (45/26,71/41) -> (31/12,75/29) Hyperbolic Matrix(1201,-2080,138,-239) (71/41,26/15) -> (26/3,9/1) Hyperbolic Matrix(599,-1040,254,-441) (26/15,7/4) -> (33/14,26/11) Hyperbolic Matrix(4999,-8800,1932,-3401) (44/25,37/21) -> (163/63,44/17) Hyperbolic Matrix(1361,-2400,317,-559) (37/21,30/17) -> (30/7,43/10) Hyperbolic Matrix(679,-1200,159,-281) (30/17,23/13) -> (17/4,30/7) Hyperbolic Matrix(721,-1280,405,-719) (39/22,16/9) -> (16/9,41/23) Parabolic Matrix(1121,-2000,403,-719) (41/23,25/14) -> (25/9,39/14) Hyperbolic Matrix(1521,-2720,581,-1039) (25/14,34/19) -> (34/13,55/21) Hyperbolic Matrix(2279,-4080,1006,-1801) (34/19,43/24) -> (77/34,34/15) Hyperbolic Matrix(1919,-3440,1027,-1841) (43/24,52/29) -> (28/15,43/23) Hyperbolic Matrix(441,-800,242,-439) (9/5,20/11) -> (20/11,31/17) Parabolic Matrix(919,-1680,285,-521) (42/23,11/6) -> (29/9,42/13) Hyperbolic Matrix(521,-960,108,-199) (11/6,24/13) -> (24/5,29/6) Hyperbolic Matrix(1039,-1920,217,-401) (24/13,37/20) -> (43/9,24/5) Hyperbolic Matrix(681,-1280,191,-359) (15/8,17/9) -> (57/16,25/7) Hyperbolic Matrix(719,-1360,212,-401) (17/9,2/1) -> (78/23,17/5) Hyperbolic Matrix(841,-1760,248,-519) (2/1,19/9) -> (139/41,78/23) Hyperbolic Matrix(601,-1280,131,-279) (17/8,15/7) -> (55/12,23/5) Hyperbolic Matrix(559,-1200,75,-161) (15/7,43/20) -> (37/5,15/2) Hyperbolic Matrix(1599,-3440,707,-1521) (43/20,28/13) -> (52/23,43/19) Hyperbolic Matrix(1039,-2240,186,-401) (28/13,13/6) -> (67/12,28/5) Hyperbolic Matrix(479,-1040,111,-241) (13/6,37/17) -> (43/10,13/3) Hyperbolic Matrix(839,-1840,347,-761) (35/16,11/5) -> (29/12,75/31) Hyperbolic Matrix(361,-800,162,-359) (11/5,20/9) -> (20/9,29/13) Parabolic Matrix(681,-1520,125,-279) (29/13,38/17) -> (38/7,11/2) Hyperbolic Matrix(679,-1520,197,-441) (38/17,9/4) -> (31/9,38/11) Hyperbolic Matrix(1841,-4160,389,-879) (9/4,52/23) -> (52/11,71/15) Hyperbolic Matrix(6361,-14400,2809,-6359) (43/19,120/53) -> (120/53,77/34) Parabolic Matrix(599,-1360,159,-361) (34/15,25/11) -> (15/4,34/9) Hyperbolic Matrix(561,-1280,245,-559) (41/18,16/7) -> (16/7,39/17) Parabolic Matrix(801,-1840,313,-719) (39/17,23/10) -> (23/9,41/16) Hyperbolic Matrix(1001,-2320,362,-839) (37/16,7/3) -> (47/17,83/30) Hyperbolic Matrix(681,-1600,289,-679) (7/3,40/17) -> (40/17,33/14) Parabolic Matrix(1759,-4160,474,-1121) (26/11,71/30) -> (89/24,26/7) Hyperbolic Matrix(839,-2000,185,-441) (81/34,31/13) -> (9/2,41/9) Hyperbolic Matrix(1039,-2480,168,-401) (31/13,74/31) -> (6/1,31/5) Hyperbolic Matrix(10721,-25600,4489,-10719) (117/49,160/67) -> (160/67,43/18) Parabolic Matrix(1439,-3440,402,-961) (43/18,12/5) -> (68/19,43/12) Hyperbolic Matrix(1961,-4720,548,-1319) (12/5,53/22) -> (93/26,68/19) Hyperbolic Matrix(1759,-4240,631,-1521) (53/22,41/17) -> (39/14,53/19) Hyperbolic Matrix(199,-480,17,-41) (41/17,70/29) -> (10/1,1/0) Hyperbolic Matrix(961,-2320,99,-239) (70/29,99/41) -> (19/2,10/1) Hyperbolic Matrix(1159,-2800,315,-761) (99/41,29/12) -> (11/3,59/16) Hyperbolic Matrix(2641,-6400,1089,-2639) (63/26,80/33) -> (80/33,17/7) Parabolic Matrix(721,-1760,229,-559) (61/25,22/9) -> (22/7,19/6) Hyperbolic Matrix(359,-880,82,-201) (22/9,5/2) -> (35/8,22/5) Hyperbolic Matrix(761,-1920,174,-439) (5/2,38/15) -> (118/27,35/8) Hyperbolic Matrix(2481,-6400,961,-2479) (49/19,80/31) -> (80/31,31/12) Parabolic Matrix(7639,-19760,2923,-7561) (75/29,119/46) -> (81/31,115/44) Hyperbolic Matrix(16481,-42640,3772,-9759) (119/46,163/63) -> (83/19,201/46) Hyperbolic Matrix(679,-1760,201,-521) (44/17,13/5) -> (27/8,44/13) Hyperbolic Matrix(121,-320,45,-119) (21/8,8/3) -> (8/3,19/7) Parabolic Matrix(1321,-3600,484,-1319) (49/18,30/11) -> (30/11,71/26) Parabolic Matrix(321,-880,58,-159) (41/15,11/4) -> (11/2,39/7) Hyperbolic Matrix(521,-1440,72,-199) (11/4,47/17) -> (7/1,29/4) Hyperbolic Matrix(6361,-17600,1720,-4759) (83/30,119/43) -> (159/43,37/10) Hyperbolic Matrix(721,-2000,115,-319) (61/22,25/9) -> (25/4,19/3) Hyperbolic Matrix(5161,-14400,1849,-5159) (53/19,120/43) -> (120/43,67/24) Parabolic Matrix(199,-560,43,-121) (14/5,17/6) -> (23/5,14/3) Hyperbolic Matrix(281,-800,98,-279) (17/6,20/7) -> (20/7,23/8) Parabolic Matrix(359,-1040,97,-281) (23/8,3/1) -> (37/10,63/17) Hyperbolic Matrix(281,-880,38,-119) (3/1,22/7) -> (22/3,37/5) Hyperbolic Matrix(841,-2720,111,-359) (42/13,55/17) -> (15/2,38/5) Hyperbolic Matrix(121,-400,36,-119) (13/4,10/3) -> (10/3,27/8) Parabolic Matrix(11801,-40000,3481,-11799) (61/18,200/59) -> (200/59,139/41) Parabolic Matrix(841,-2880,245,-839) (65/19,24/7) -> (24/7,55/16) Parabolic Matrix(721,-2480,116,-399) (55/16,31/9) -> (31/5,25/4) Hyperbolic Matrix(2521,-8720,682,-2359) (38/11,45/13) -> (85/23,122/33) Hyperbolic Matrix(1879,-6720,347,-1241) (25/7,93/26) -> (27/5,65/12) Hyperbolic Matrix(959,-3440,201,-721) (43/12,61/17) -> (19/4,43/9) Hyperbolic Matrix(441,-1600,121,-439) (29/8,40/11) -> (40/11,11/3) Parabolic Matrix(15601,-57680,3570,-13199) (122/33,159/43) -> (319/73,118/27) Hyperbolic Matrix(6881,-25600,1849,-6879) (93/25,160/43) -> (160/43,67/18) Parabolic Matrix(1439,-5360,258,-961) (67/18,41/11) -> (39/7,67/12) Hyperbolic Matrix(41,-160,10,-39) (19/5,4/1) -> (4/1,21/5) Parabolic Matrix(1521,-6400,361,-1519) (21/5,80/19) -> (80/19,59/14) Parabolic Matrix(1079,-4560,199,-841) (38/9,55/13) -> (65/12,38/7) Hyperbolic Matrix(239,-1040,37,-161) (13/3,48/11) -> (32/5,13/2) Hyperbolic Matrix(61881,-270400,14161,-61879) (201/46,520/119) -> (520/119,319/73) Parabolic Matrix(361,-1600,81,-359) (31/7,40/9) -> (40/9,9/2) Parabolic Matrix(1361,-6400,289,-1359) (47/10,80/17) -> (80/17,33/7) Parabolic Matrix(281,-1600,49,-279) (17/3,40/7) -> (40/7,23/4) Parabolic Matrix(121,-800,18,-119) (13/2,20/3) -> (20/3,27/4) Parabolic Matrix(881,-6400,121,-879) (29/4,80/11) -> (80/11,51/7) Parabolic Matrix(41,-320,5,-39) (23/3,8/1) -> (8/1,17/2) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,0,1,1) -> Matrix(1,0,2,1) Matrix(439,-480,257,-281) -> Matrix(7,-2,32,-9) Matrix(2081,-2320,1219,-1359) -> Matrix(37,-8,162,-35) Matrix(1359,-1520,287,-321) -> Matrix(1,0,0,1) Matrix(1839,-2080,496,-561) -> Matrix(11,-2,28,-5) Matrix(281,-320,245,-279) -> Matrix(11,-2,50,-9) Matrix(1321,-1520,312,-359) -> Matrix(9,-2,32,-7) Matrix(761,-880,518,-599) -> Matrix(9,-2,50,-11) Matrix(1241,-1440,792,-919) -> Matrix(1,0,0,1) Matrix(1159,-1360,444,-521) -> Matrix(9,-2,32,-7) Matrix(881,-1040,338,-399) -> Matrix(19,-4,62,-13) Matrix(1081,-1280,641,-759) -> Matrix(1,0,0,1) Matrix(2361,-2800,640,-759) -> Matrix(9,-2,14,-3) Matrix(1681,-2000,1075,-1279) -> Matrix(7,-2,32,-9) Matrix(2079,-2480,1208,-1441) -> Matrix(7,-2,32,-9) Matrix(199,-240,34,-41) -> Matrix(1,0,0,1) Matrix(921,-1120,361,-439) -> Matrix(9,-2,32,-7) Matrix(721,-880,458,-559) -> Matrix(1,0,0,1) Matrix(521,-640,162,-199) -> Matrix(1,0,0,1) Matrix(519,-640,163,-201) -> Matrix(1,0,-2,1) Matrix(841,-1040,355,-439) -> Matrix(17,-4,64,-15) Matrix(761,-960,348,-439) -> Matrix(1,0,-2,1) Matrix(1519,-1920,697,-881) -> Matrix(9,-2,32,-7) Matrix(2719,-3440,1961,-2481) -> Matrix(1,0,0,1) Matrix(1199,-1520,127,-161) -> Matrix(1,0,0,1) Matrix(3281,-4160,1829,-2319) -> Matrix(15,-4,64,-17) Matrix(2081,-2640,819,-1039) -> Matrix(5,-2,18,-7) Matrix(881,-1120,188,-239) -> Matrix(1,0,-4,1) Matrix(439,-560,283,-361) -> Matrix(11,-2,50,-9) Matrix(2001,-2560,562,-719) -> Matrix(1,0,0,1) Matrix(1999,-2560,563,-721) -> Matrix(1,0,-2,1) Matrix(2559,-3280,937,-1201) -> Matrix(1,0,-2,1) Matrix(681,-880,154,-199) -> Matrix(1,0,-4,1) Matrix(679,-880,402,-521) -> Matrix(11,-2,50,-9) Matrix(799,-1040,431,-561) -> Matrix(11,-2,50,-9) Matrix(1841,-2400,797,-1039) -> Matrix(1,0,-2,1) Matrix(919,-1200,399,-521) -> Matrix(9,-2,32,-7) Matrix(121,-160,90,-119) -> Matrix(1,0,0,1) Matrix(1359,-1840,178,-241) -> Matrix(9,-2,32,-7) Matrix(2361,-3200,560,-759) -> Matrix(1,0,0,1) Matrix(1001,-1360,382,-519) -> Matrix(9,-2,32,-7) Matrix(2401,-3280,702,-959) -> Matrix(1,0,-2,1) Matrix(2399,-3280,1288,-1761) -> Matrix(7,-2,32,-9) Matrix(3041,-4160,818,-1119) -> Matrix(1,0,-4,1) Matrix(1519,-2080,176,-241) -> Matrix(11,-2,28,-5) Matrix(2161,-2960,1401,-1919) -> Matrix(31,-6,150,-29) Matrix(4201,-5760,962,-1319) -> Matrix(1,0,-2,1) Matrix(2041,-2800,320,-439) -> Matrix(13,-2,46,-7) Matrix(521,-720,144,-199) -> Matrix(9,-2,32,-7) Matrix(1559,-2160,607,-841) -> Matrix(9,-2,32,-7) Matrix(2479,-3440,1442,-2001) -> Matrix(7,-2,32,-9) Matrix(1841,-2560,402,-559) -> Matrix(1,0,0,1) Matrix(1839,-2560,403,-561) -> Matrix(1,0,-2,1) Matrix(1721,-2400,659,-919) -> Matrix(9,-2,32,-7) Matrix(1081,-1520,426,-599) -> Matrix(13,-2,46,-7) Matrix(1761,-2480,965,-1359) -> Matrix(25,-4,94,-15) Matrix(3519,-4960,2044,-2881) -> Matrix(23,-4,98,-17) Matrix(2439,-3440,653,-921) -> Matrix(11,-2,28,-5) Matrix(2321,-3280,622,-879) -> Matrix(1,0,-2,1) Matrix(961,-1360,395,-559) -> Matrix(9,-2,32,-7) Matrix(281,-400,196,-279) -> Matrix(11,-2,50,-9) Matrix(1001,-1440,472,-679) -> Matrix(33,-8,128,-31) Matrix(3001,-4320,1083,-1559) -> Matrix(1,0,0,1) Matrix(721,-1040,443,-639) -> Matrix(11,-2,50,-9) Matrix(441,-640,82,-119) -> Matrix(1,0,0,1) Matrix(439,-640,83,-121) -> Matrix(1,0,-2,1) Matrix(1201,-1760,709,-1039) -> Matrix(11,-2,50,-9) Matrix(761,-1120,407,-599) -> Matrix(23,-4,98,-17) Matrix(521,-800,338,-519) -> Matrix(31,-6,150,-29) Matrix(1079,-1680,386,-601) -> Matrix(9,-2,32,-7) Matrix(2719,-4240,1591,-2481) -> Matrix(37,-8,162,-35) Matrix(1281,-2000,563,-879) -> Matrix(17,-4,64,-15) Matrix(3119,-4880,921,-1441) -> Matrix(7,-2,18,-5) Matrix(1481,-2320,842,-1319) -> Matrix(1,0,0,1) Matrix(2041,-3200,280,-439) -> Matrix(9,-2,32,-7) Matrix(2081,-3280,1116,-1759) -> Matrix(7,-2,32,-9) Matrix(2839,-4480,1192,-1881) -> Matrix(13,-2,46,-7) Matrix(961,-1520,404,-639) -> Matrix(17,-4,64,-15) Matrix(201,-320,125,-199) -> Matrix(11,-2,50,-9) Matrix(841,-1360,222,-359) -> Matrix(9,-2,32,-7) Matrix(4841,-7840,2000,-3239) -> Matrix(53,-12,190,-43) Matrix(1481,-2400,419,-679) -> Matrix(9,-2,32,-7) Matrix(839,-1360,124,-201) -> Matrix(9,-2,32,-7) Matrix(5841,-9520,2110,-3439) -> Matrix(9,-2,50,-11) Matrix(11041,-18000,4563,-7439) -> Matrix(17,-4,64,-15) Matrix(4121,-6720,1741,-2839) -> Matrix(47,-10,174,-37) Matrix(881,-1440,342,-559) -> Matrix(17,-4,64,-15) Matrix(1319,-2160,367,-601) -> Matrix(9,-2,32,-7) Matrix(7321,-12000,3001,-4919) -> Matrix(9,-2,32,-7) Matrix(4879,-8000,2001,-3281) -> Matrix(19,-4,62,-13) Matrix(1121,-1840,633,-1039) -> Matrix(1,0,0,1) Matrix(681,-1120,121,-199) -> Matrix(9,-2,32,-7) Matrix(1601,-2640,339,-559) -> Matrix(9,-2,50,-11) Matrix(921,-1520,266,-439) -> Matrix(9,-2,14,-3) Matrix(1759,-2960,476,-801) -> Matrix(9,-2,32,-7) Matrix(7081,-12000,2761,-4679) -> Matrix(9,-2,32,-7) Matrix(4719,-8000,1841,-3121) -> Matrix(19,-4,62,-13) Matrix(801,-1360,235,-399) -> Matrix(9,-2,32,-7) Matrix(2161,-3680,892,-1519) -> Matrix(161,-36,568,-127) Matrix(4601,-7840,1760,-2999) -> Matrix(53,-12,190,-43) Matrix(1361,-2320,281,-479) -> Matrix(9,-2,-4,1) Matrix(3281,-5600,515,-879) -> Matrix(53,-12,190,-43) Matrix(841,-1440,490,-839) -> Matrix(1,0,0,1) Matrix(2561,-4400,791,-1359) -> Matrix(17,-4,64,-15) Matrix(6881,-11840,2882,-4959) -> Matrix(25,-6,96,-23) Matrix(881,-1520,324,-559) -> Matrix(17,-4,64,-15) Matrix(601,-1040,115,-199) -> Matrix(17,-4,64,-15) Matrix(3881,-6720,1501,-2599) -> Matrix(43,-10,142,-33) Matrix(1201,-2080,138,-239) -> Matrix(17,-4,30,-7) Matrix(599,-1040,254,-441) -> Matrix(41,-10,160,-39) Matrix(4999,-8800,1932,-3401) -> Matrix(5,-2,18,-7) Matrix(1361,-2400,317,-559) -> Matrix(1,0,-2,1) Matrix(679,-1200,159,-281) -> Matrix(9,-2,32,-7) Matrix(721,-1280,405,-719) -> Matrix(37,-8,162,-35) Matrix(1121,-2000,403,-719) -> Matrix(17,-4,64,-15) Matrix(1521,-2720,581,-1039) -> Matrix(17,-4,64,-15) Matrix(2279,-4080,1006,-1801) -> Matrix(131,-30,476,-109) Matrix(1919,-3440,1027,-1841) -> Matrix(77,-18,338,-79) Matrix(441,-800,242,-439) -> Matrix(41,-10,160,-39) Matrix(919,-1680,285,-521) -> Matrix(7,-2,32,-9) Matrix(521,-960,108,-199) -> Matrix(1,0,-2,1) Matrix(1039,-1920,217,-401) -> Matrix(9,-2,32,-7) Matrix(681,-1280,191,-359) -> Matrix(17,-4,64,-15) Matrix(719,-1360,212,-401) -> Matrix(25,-6,46,-11) Matrix(841,-1760,248,-519) -> Matrix(17,-4,30,-7) Matrix(601,-1280,131,-279) -> Matrix(15,-4,64,-17) Matrix(559,-1200,75,-161) -> Matrix(7,-2,32,-9) Matrix(1599,-3440,707,-1521) -> Matrix(65,-18,242,-67) Matrix(1039,-2240,186,-401) -> Matrix(7,-2,32,-9) Matrix(479,-1040,111,-241) -> Matrix(7,-2,18,-5) Matrix(839,-1840,347,-761) -> Matrix(13,-2,46,-7) Matrix(361,-800,162,-359) -> Matrix(41,-10,160,-39) Matrix(681,-1520,125,-279) -> Matrix(31,-8,128,-33) Matrix(679,-1520,197,-441) -> Matrix(23,-6,50,-13) Matrix(1841,-4160,389,-879) -> Matrix(15,-4,64,-17) Matrix(6361,-14400,2809,-6359) -> Matrix(397,-108,1452,-395) Matrix(599,-1360,159,-361) -> Matrix(7,-2,32,-9) Matrix(561,-1280,245,-559) -> Matrix(29,-8,98,-27) Matrix(801,-1840,313,-719) -> Matrix(1,0,0,1) Matrix(1001,-2320,362,-839) -> Matrix(1,0,0,1) Matrix(681,-1600,289,-679) -> Matrix(41,-10,160,-39) Matrix(1759,-4160,474,-1121) -> Matrix(23,-6,50,-13) Matrix(839,-2000,185,-441) -> Matrix(7,-2,32,-9) Matrix(1039,-2480,168,-401) -> Matrix(7,-2,32,-9) Matrix(10721,-25600,4489,-10719) -> Matrix(1,0,0,1) Matrix(1439,-3440,402,-961) -> Matrix(7,-2,32,-9) Matrix(1961,-4720,548,-1319) -> Matrix(7,-2,32,-9) Matrix(1759,-4240,631,-1521) -> Matrix(29,-8,98,-27) Matrix(199,-480,17,-41) -> Matrix(7,-2,32,-9) Matrix(961,-2320,99,-239) -> Matrix(29,-8,98,-27) Matrix(1159,-2800,315,-761) -> Matrix(7,-2,32,-9) Matrix(2641,-6400,1089,-2639) -> Matrix(197,-56,686,-195) Matrix(721,-1760,229,-559) -> Matrix(7,-2,18,-5) Matrix(359,-880,82,-201) -> Matrix(7,-2,18,-5) Matrix(761,-1920,174,-439) -> Matrix(7,-2,18,-5) Matrix(2481,-6400,961,-2479) -> Matrix(113,-32,392,-111) Matrix(7639,-19760,2923,-7561) -> Matrix(27,-8,98,-29) Matrix(16481,-42640,3772,-9759) -> Matrix(7,-2,4,-1) Matrix(679,-1760,201,-521) -> Matrix(13,-4,36,-11) Matrix(121,-320,45,-119) -> Matrix(7,-2,18,-5) Matrix(1321,-3600,484,-1319) -> Matrix(7,-2,18,-5) Matrix(321,-880,58,-159) -> Matrix(1,0,0,1) Matrix(521,-1440,72,-199) -> Matrix(1,0,0,1) Matrix(6361,-17600,1720,-4759) -> Matrix(1,0,0,1) Matrix(721,-2000,115,-319) -> Matrix(7,-2,32,-9) Matrix(5161,-14400,1849,-5159) -> Matrix(19,-6,54,-17) Matrix(199,-560,43,-121) -> Matrix(7,-2,18,-5) Matrix(281,-800,98,-279) -> Matrix(19,-6,54,-17) Matrix(359,-1040,97,-281) -> Matrix(1,0,0,1) Matrix(281,-880,38,-119) -> Matrix(5,-2,18,-7) Matrix(841,-2720,111,-359) -> Matrix(1,0,0,1) Matrix(121,-400,36,-119) -> Matrix(7,-2,18,-5) Matrix(11801,-40000,3481,-11799) -> Matrix(61,-30,120,-59) Matrix(841,-2880,245,-839) -> Matrix(7,-2,18,-5) Matrix(721,-2480,116,-399) -> Matrix(5,-2,18,-7) Matrix(2521,-8720,682,-2359) -> Matrix(1,0,2,1) Matrix(1879,-6720,347,-1241) -> Matrix(7,-2,32,-9) Matrix(959,-3440,201,-721) -> Matrix(1,0,0,1) Matrix(441,-1600,121,-439) -> Matrix(13,-4,36,-11) Matrix(15601,-57680,3570,-13199) -> Matrix(7,-2,18,-5) Matrix(6881,-25600,1849,-6879) -> Matrix(1,0,6,1) Matrix(1439,-5360,258,-961) -> Matrix(1,0,0,1) Matrix(41,-160,10,-39) -> Matrix(1,0,0,1) Matrix(1521,-6400,361,-1519) -> Matrix(1,0,4,1) Matrix(1079,-4560,199,-841) -> Matrix(7,-2,32,-9) Matrix(239,-1040,37,-161) -> Matrix(5,-2,18,-7) Matrix(61881,-270400,14161,-61879) -> Matrix(7,-2,18,-5) Matrix(361,-1600,81,-359) -> Matrix(1,0,4,1) Matrix(1361,-6400,289,-1359) -> Matrix(1,0,12,1) Matrix(281,-1600,49,-279) -> Matrix(1,0,2,1) Matrix(121,-800,18,-119) -> Matrix(7,-2,18,-5) Matrix(881,-6400,121,-879) -> Matrix(1,0,0,1) Matrix(41,-320,5,-39) -> Matrix(7,-2,18,-5) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 38 Imminent integer overflow caused the modular group computation to abort.