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: 120 Genus: 181 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/1 -15/2 -22/3 -6/1 -11/2 -27/5 -21/4 -24/5 -9/2 -22/5 -30/7 -21/5 -11/3 -18/5 -22/7 -3/1 -11/4 -55/21 -22/9 -12/5 -11/5 -15/7 -11/6 -11/7 -3/2 -11/8 -11/9 -11/10 0/1 1/1 33/28 11/9 33/26 11/8 99/70 165/116 33/23 3/2 11/7 165/101 33/20 99/58 33/19 11/6 2/1 15/7 11/5 132/59 66/29 33/14 12/5 99/41 22/9 5/2 33/13 165/64 66/25 132/49 11/4 198/71 132/47 66/23 3/1 22/7 33/10 165/49 27/8 99/29 231/67 7/2 25/7 18/5 11/3 363/98 198/53 132/35 88/23 4/1 21/5 30/7 13/3 22/5 9/2 32/7 55/12 14/3 33/7 110/23 24/5 5/1 31/6 21/4 16/3 27/5 11/2 28/5 17/3 23/4 29/5 6/1 31/5 25/4 19/3 13/2 33/5 20/3 27/4 7/1 29/4 22/3 15/2 23/3 8/1 17/2 26/3 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 0/1 1/0 -9/1 1/2 -17/2 0/1 1/0 -8/1 0/1 1/4 -23/3 2/5 1/2 -15/2 1/2 1/0 -22/3 0/1 -7/1 1/3 1/2 -20/3 6/13 1/2 -33/5 1/2 -13/2 1/2 4/7 -19/3 2/3 3/4 -25/4 2/3 3/4 -31/5 9/10 1/1 -6/1 1/2 1/0 -23/4 0/1 1/0 -40/7 3/4 1/1 -17/3 0/1 1/0 -28/5 -1/2 -1/3 -11/2 0/1 -38/7 1/6 1/5 -65/12 0/1 1/6 -27/5 1/6 -16/3 0/1 1/4 -21/4 1/6 1/4 -5/1 1/3 1/2 -29/6 3/8 2/5 -24/5 7/16 1/2 -19/4 8/17 1/2 -33/7 1/2 -14/3 1/2 6/11 -65/14 1/2 4/7 -51/11 1/2 -37/8 7/12 10/17 -23/5 1/2 2/3 -32/7 1/2 2/3 -9/2 1/2 3/4 -40/9 7/8 1/1 -31/7 5/6 1/1 -22/5 1/1 -13/3 2/1 1/0 -30/7 -3/2 1/0 -17/4 0/1 1/0 -21/5 -1/2 -46/11 -1/2 -2/5 -25/6 -1/4 0/1 -4/1 0/1 1/4 -23/6 3/8 8/21 -19/5 2/5 5/12 -34/9 2/5 1/2 -49/13 2/5 5/12 -15/4 5/12 1/2 -71/19 11/26 3/7 -56/15 10/23 7/16 -97/26 3/7 7/16 -41/11 7/16 4/9 -67/18 4/9 1/2 -93/25 1/2 -26/7 9/20 5/11 -11/3 1/2 -40/11 15/28 7/13 -69/19 1/2 -98/27 1/2 6/11 -29/8 6/11 11/20 -47/13 4/7 7/12 -65/18 1/2 4/7 -18/5 1/2 7/12 -25/7 5/8 2/3 -32/9 1/2 2/3 -39/11 1/2 -7/2 3/4 1/1 -38/11 1/2 1/1 -69/20 1/2 1/0 -31/9 1/2 1/1 -24/7 3/2 1/0 -65/19 2/1 1/0 -41/12 4/1 1/0 -99/29 1/0 -58/17 -4/1 1/0 -17/5 0/1 1/0 -27/8 1/2 1/0 -64/19 1/1 1/0 -165/49 1/0 -101/30 -1/1 1/0 -37/11 0/1 1/0 -10/3 0/1 1/0 -33/10 0/1 -23/7 0/1 1/6 -36/11 1/6 1/4 -13/4 0/1 1/2 -29/9 0/1 1/0 -16/5 0/1 1/4 -19/6 2/5 1/2 -22/7 1/3 -25/8 3/8 2/5 -3/1 1/2 -26/9 7/12 3/5 -23/8 5/8 2/3 -20/7 1/2 2/3 -17/6 2/3 3/4 -31/11 5/6 1/1 -45/16 1/2 3/4 -59/21 9/10 1/1 -14/5 0/1 1/2 -67/24 1/2 2/3 -53/19 5/8 2/3 -92/33 5/7 3/4 -39/14 1/2 3/4 -64/23 3/4 1/1 -25/9 2/3 3/4 -11/4 1/1 -41/15 2/1 1/0 -112/41 0/1 1/2 -71/26 1/1 3/2 -101/37 1/1 3/2 -30/11 3/2 1/0 -49/18 0/1 1/0 -68/25 3/4 1/1 -19/7 0/1 1/0 -65/24 0/1 1/2 -176/65 0/1 -111/41 1/2 -46/17 2/5 1/2 -73/27 1/2 3/5 -27/10 1/2 3/4 -62/23 7/8 8/9 -35/13 1/1 7/6 -8/3 0/1 1/0 -29/11 0/1 1/8 -50/19 0/1 1/4 -21/8 1/4 1/2 -97/37 3/10 1/3 -76/29 3/8 2/5 -131/50 2/5 1/2 -55/21 1/2 -34/13 0/1 1/2 -47/18 1/2 2/3 -13/5 0/1 1/4 -44/17 1/3 -31/12 1/3 3/8 -49/19 3/8 2/5 -165/64 2/5 -116/45 2/5 5/12 -67/26 2/5 1/2 -18/7 3/8 1/2 -23/9 4/9 1/2 -51/20 13/28 1/2 -28/11 11/23 1/2 -33/13 1/2 -5/2 1/2 3/5 -32/13 1/2 2/3 -27/11 1/2 -22/9 2/3 -39/16 7/10 3/4 -17/7 2/3 3/4 -46/19 2/3 7/10 -29/12 14/19 3/4 -99/41 3/4 -70/29 3/4 34/45 -41/17 3/4 10/13 -53/22 11/14 4/5 -65/27 3/4 4/5 -12/5 3/4 5/6 -67/28 4/5 5/6 -55/23 5/6 -43/18 6/7 7/8 -74/31 7/8 8/9 -31/13 1/2 1/1 -81/34 1/2 3/4 -131/55 2/3 3/4 -50/21 3/4 4/5 -19/8 5/6 6/7 -64/27 7/8 1/1 -45/19 9/10 -26/11 15/16 1/1 -33/14 1/1 -7/3 1/1 3/2 -44/19 2/1 -37/16 4/1 1/0 -67/29 2/1 1/0 -30/13 5/2 1/0 -23/10 -4/1 1/0 -62/27 -4/3 -5/4 -39/17 -1/2 -16/7 0/1 1/0 -25/11 0/1 1/4 -34/15 0/1 1/2 -9/4 1/2 1/0 -47/21 -1/4 0/1 -38/17 1/3 1/2 -67/30 0/1 1/2 -29/13 0/1 1/0 -20/9 0/1 1/2 -71/32 3/10 1/3 -51/23 1/2 -31/14 1/3 3/8 -11/5 1/2 -24/11 1/2 5/8 -37/17 5/8 2/3 -13/6 1/2 2/3 -41/19 3/4 4/5 -28/13 5/6 1/1 -15/7 1/2 -17/8 2/3 3/4 -2/1 1/1 1/0 -17/9 0/1 1/0 -15/8 1/2 1/0 -28/15 1/2 5/9 -13/7 2/3 3/4 -24/13 5/6 7/8 -11/6 1/1 -42/23 11/10 9/8 -31/17 1/1 7/6 -51/28 9/8 7/6 -71/39 1/1 11/10 -20/11 7/6 6/5 -29/16 5/4 14/11 -67/37 5/4 4/3 -38/21 9/7 13/10 -85/47 37/28 4/3 -132/73 4/3 -47/26 4/3 19/14 -9/5 3/2 -34/19 3/2 2/1 -25/14 7/4 2/1 -66/37 2/1 -41/23 2/1 9/4 -16/9 2/1 1/0 -39/22 1/2 1/0 -23/13 3/2 2/1 -30/17 3/2 1/0 -97/55 1/1 3/2 -67/38 3/2 2/1 -37/21 2/1 1/0 -7/4 3/1 1/0 -33/19 1/0 -26/15 -7/1 1/0 -71/41 -5/1 -9/2 -45/26 -7/2 1/0 -64/37 -3/1 -11/4 -19/11 -2/1 1/0 -50/29 -2/1 1/0 -131/76 -2/1 -3/2 -81/47 -3/2 -31/18 -5/4 -1/1 -43/25 -1/2 0/1 -55/32 0/1 -67/39 0/1 1/0 -12/7 -1/2 1/0 -65/38 -1/2 0/1 -53/31 0/1 1/0 -94/55 -1/2 -3/7 -41/24 -1/4 0/1 -70/41 -1/12 0/1 -99/58 0/1 -29/17 0/1 1/4 -46/27 0/1 1/2 -17/10 0/1 1/0 -22/13 0/1 -27/16 1/4 1/2 -32/19 0/1 1/2 -37/22 0/1 1/0 -5/3 1/2 1/1 -33/20 1/1 -28/17 1/1 11/10 -51/31 7/6 -23/14 6/5 5/4 -110/67 4/3 -87/53 3/2 -64/39 1/1 5/4 -41/25 5/4 4/3 -18/11 3/2 1/0 -67/41 2/1 1/0 -116/71 4/1 1/0 -165/101 1/0 -49/30 0/1 1/0 -31/19 1/1 3/2 -13/8 4/3 3/2 -47/29 7/4 2/1 -34/21 3/2 2/1 -89/55 3/2 2/1 -55/34 2/1 -76/47 0/1 1/0 -21/13 3/2 -50/31 7/4 2/1 -29/18 15/8 2/1 -66/41 2/1 -37/23 2/1 17/8 -8/5 2/1 1/0 -43/27 5/2 8/3 -35/22 23/8 3/1 -132/83 3/1 -97/61 3/1 67/22 -62/39 25/8 22/7 -27/17 7/2 -46/29 4/1 9/2 -111/70 7/2 1/0 -176/111 4/1 -65/41 4/1 1/0 -19/12 4/1 9/2 -68/43 5/1 1/0 -49/31 6/1 1/0 -30/19 13/2 1/0 -11/7 1/0 -36/23 -11/2 1/0 -133/85 -6/1 1/0 -97/62 -5/1 1/0 -61/39 -11/2 -5/1 -86/55 -14/3 -9/2 -25/16 -4/1 1/0 -64/41 -25/8 -3/1 -39/25 -5/2 -92/59 -7/3 -9/4 -145/93 -17/8 -2/1 -198/127 -2/1 -53/34 -2/1 -3/2 -67/43 -2/1 1/0 -14/9 -2/1 -3/2 -73/47 -11/10 -1/1 -132/85 -1/1 -59/38 -1/1 -7/8 -45/29 -1/2 -76/49 -2/1 1/0 -31/20 -1/1 1/0 -17/11 0/1 1/0 -20/13 -1/2 0/1 -43/28 -1/4 0/1 -66/43 0/1 -23/15 0/1 1/2 -3/2 1/2 1/0 -28/19 1/2 1/1 -25/17 0/1 1/0 -22/15 1/1 -41/28 2/1 1/0 -19/13 2/1 1/0 -16/11 2/1 1/0 -29/20 2/1 9/4 -42/29 5/2 11/4 -13/9 4/1 1/0 -36/25 15/2 1/0 -23/16 14/1 1/0 -33/23 1/0 -10/7 -6/1 1/0 -47/33 -4/1 -15/4 -37/26 -10/3 -13/4 -101/71 -55/18 -3/1 -165/116 -3/1 -64/45 -3/1 -35/12 -27/19 -5/2 -44/31 -2/1 -17/12 -2/1 1/0 -58/41 -9/4 -2/1 -99/70 -2/1 -41/29 -2/1 -7/4 -65/46 -2/1 -3/2 -24/17 -3/2 1/0 -55/39 -3/2 -31/22 -1/1 1/0 -131/93 -2/1 1/0 -231/164 -2/1 -100/71 -2/1 -3/2 -69/49 -3/2 -107/76 -2/1 1/0 -38/27 -3/2 -7/5 -7/5 -1/1 -1/2 -39/28 -1/2 -1/4 -32/23 -1/2 0/1 -25/18 0/1 1/0 -68/49 -1/1 -7/8 -111/80 -3/4 -1/2 -154/111 -2/3 -43/31 -2/3 -1/2 -18/13 -1/2 -1/4 -65/47 -1/4 0/1 -47/34 -1/6 0/1 -123/89 -1/2 -76/55 -1/4 0/1 -29/21 -1/4 0/1 -11/8 0/1 -37/27 0/1 1/4 -100/73 0/1 1/6 -363/265 1/6 -263/192 1/6 2/11 -163/119 1/6 1/5 -63/46 1/6 1/4 -26/19 1/4 1/3 -93/68 1/6 1/4 -67/49 0/1 1/4 -41/30 1/4 2/7 -97/71 1/3 5/14 -56/41 0/1 1/4 -127/93 7/22 1/3 -198/145 1/3 -71/52 1/3 5/14 -15/11 1/2 -49/36 0/1 1/0 -132/97 0/1 -83/61 0/1 1/4 -34/25 0/1 1/2 -19/14 2/5 1/2 -42/31 1/2 5/8 -65/48 1/2 2/3 -88/65 2/3 -23/17 1/2 2/3 -27/20 3/4 5/6 -4/3 2/1 1/0 -25/19 -6/1 1/0 -46/35 -9/2 -4/1 -21/16 -7/2 1/0 -59/45 -3/1 -17/6 -38/29 -5/2 -7/3 -17/13 -2/1 1/0 -30/23 -5/2 1/0 -13/10 -2/1 -3/2 -35/27 -3/2 -1/1 -22/17 -1/1 -31/24 -1/1 -3/4 -71/55 -1/1 -5/6 -40/31 -3/4 -5/7 -9/7 -1/2 -32/25 -1/2 0/1 -55/43 -1/2 -23/18 -1/4 0/1 -60/47 -1/2 -1/4 -97/76 -1/3 -1/4 -37/29 -1/4 0/1 -88/69 0/1 -51/40 -1/2 -1/4 -65/51 -1/4 0/1 -14/11 -1/6 0/1 -33/26 0/1 -19/15 0/1 1/8 -43/34 1/4 2/7 -110/87 0/1 -67/53 0/1 1/4 -24/19 1/4 1/2 -29/23 0/1 1/4 -34/27 0/1 1/2 -5/4 1/2 1/1 -31/25 1/2 1/1 -26/21 3/4 1/1 -21/17 3/2 -16/13 2/1 1/0 -27/22 7/2 1/0 -11/9 1/0 -39/32 -9/2 1/0 -67/55 -4/1 1/0 -28/23 -7/2 -3/1 -73/60 -13/4 -3/1 -45/37 -5/2 -17/14 -2/1 1/0 -57/47 -3/2 -40/33 -3/1 1/0 -63/52 -3/2 1/0 -23/19 -2/1 -3/2 -29/24 -5/4 -6/5 -35/29 -1/1 -9/10 -6/5 -1/2 1/0 -31/26 -1/1 1/0 -25/21 0/1 1/0 -44/37 -1/1 -19/16 -2/3 -1/2 -13/11 -1/4 0/1 -33/28 0/1 -20/17 0/1 1/6 -27/23 1/2 -7/6 1/1 1/0 -29/25 0/1 1/0 -22/19 0/1 -37/32 1/4 2/7 -15/13 1/2 -23/20 0/1 1/0 -8/7 2/1 1/0 -17/15 -2/1 1/0 -26/23 -5/4 -1/1 -9/8 -1/2 1/0 -19/17 0/1 1/4 -10/9 -2/1 1/0 -11/10 0/1 -1/1 0/1 1/0 0/1 0/1 1/1 0/1 1/4 10/9 2/9 1/4 9/8 1/6 1/4 17/15 2/9 1/4 8/7 1/4 2/7 23/20 0/1 1/4 15/13 1/2 22/19 0/1 7/6 1/4 1/3 20/17 -1/2 0/1 33/28 0/1 13/11 0/1 1/8 19/16 1/6 2/11 25/21 0/1 1/4 31/26 1/5 1/4 6/5 1/6 1/4 23/19 3/14 2/9 40/33 3/13 1/4 17/14 2/9 1/4 28/23 3/13 7/30 11/9 1/4 38/31 5/19 9/34 65/53 1/4 4/15 27/22 1/4 7/26 16/13 1/4 2/7 21/17 3/10 5/4 1/3 1/2 29/23 0/1 1/0 24/19 1/2 1/0 19/15 -1/4 0/1 33/26 0/1 14/11 0/1 1/10 65/51 0/1 1/8 51/40 1/8 1/6 37/29 0/1 1/8 23/18 0/1 1/8 32/25 0/1 1/6 9/7 1/6 40/31 5/27 3/16 31/24 3/16 1/5 22/17 1/5 13/10 3/14 2/9 30/23 5/22 1/4 17/13 2/9 1/4 21/16 7/30 1/4 46/35 4/17 9/38 25/19 6/25 1/4 4/3 1/4 2/7 23/17 2/5 1/2 19/14 1/2 2/3 34/25 0/1 1/2 49/36 0/1 1/4 15/11 1/2 71/52 5/6 1/1 56/41 0/1 1/0 97/71 5/6 1/1 41/30 2/1 1/0 67/49 0/1 1/0 93/68 -1/2 1/0 26/19 1/1 1/0 11/8 0/1 40/29 1/9 1/8 69/50 1/8 1/6 98/71 0/1 1/6 29/21 0/1 1/8 47/34 0/1 1/10 65/47 0/1 1/8 18/13 1/8 1/6 25/18 0/1 1/4 32/23 0/1 1/6 39/28 1/8 1/6 7/5 1/6 1/5 38/27 7/33 3/14 69/49 3/14 31/22 1/5 1/4 24/17 3/14 1/4 65/46 3/14 2/9 41/29 7/32 2/9 99/70 2/9 58/41 2/9 9/40 17/12 2/9 1/4 27/19 5/22 64/45 35/152 3/13 165/116 3/13 101/71 3/13 55/238 37/26 13/56 10/43 10/7 6/25 1/4 33/23 1/4 23/16 1/4 14/55 36/25 1/4 15/58 13/9 1/4 4/15 29/20 9/32 2/7 16/11 1/4 2/7 19/13 1/4 2/7 22/15 1/3 25/17 0/1 1/4 3/2 1/4 1/2 26/17 1/5 1/4 23/15 0/1 1/2 20/13 0/1 1/6 17/11 0/1 1/4 31/20 1/5 1/4 45/29 1/6 59/38 7/36 1/5 14/9 3/14 2/9 67/43 2/9 1/4 53/34 3/14 2/9 92/59 9/40 7/31 39/25 5/22 64/41 3/13 25/108 25/16 4/17 1/4 11/7 1/4 41/26 1/4 8/31 112/71 15/58 22/85 71/45 7/27 13/50 101/64 1/4 7/27 30/19 1/4 13/50 49/31 1/4 6/23 68/43 1/4 5/19 19/12 9/34 4/15 65/41 1/4 4/15 176/111 4/15 111/70 1/4 7/26 46/29 9/34 4/15 73/46 15/56 11/41 27/17 7/26 62/39 22/81 25/92 35/22 3/11 23/84 8/5 1/4 2/7 29/18 2/7 15/52 50/31 2/7 7/24 21/13 3/10 97/60 1/4 1/3 76/47 0/1 1/4 131/81 1/4 2/7 55/34 2/7 34/21 2/7 3/10 47/29 2/7 7/24 13/8 3/10 4/13 44/27 1/3 31/19 3/10 1/3 49/30 0/1 1/4 165/101 1/4 116/71 1/4 4/15 67/41 1/4 2/7 18/11 1/4 3/10 23/14 5/16 6/19 51/31 7/22 28/17 11/34 1/3 33/20 1/3 5/3 1/3 1/2 32/19 0/1 1/2 27/16 1/2 1/0 22/13 0/1 39/23 1/6 17/10 0/1 1/4 46/27 0/1 1/2 29/17 0/1 1/0 99/58 0/1 70/41 0/1 1/16 41/24 0/1 1/8 53/31 0/1 1/4 65/38 0/1 1/6 12/7 1/6 1/4 67/39 0/1 1/4 55/32 0/1 43/25 0/1 1/6 74/43 2/11 3/16 31/18 1/5 5/24 81/47 3/14 131/76 3/14 2/9 50/29 2/9 1/4 19/11 2/9 1/4 64/37 11/48 3/13 45/26 7/30 1/4 26/15 7/29 1/4 33/19 1/4 7/4 1/4 3/11 44/25 2/7 37/21 1/4 2/7 67/38 2/7 3/10 30/17 1/4 3/10 23/13 2/7 3/10 62/35 5/16 6/19 39/22 1/4 1/2 16/9 1/4 2/7 25/14 2/7 7/24 34/19 2/7 3/10 9/5 3/10 47/26 19/62 4/13 38/21 13/42 9/29 67/37 4/13 5/16 29/16 14/45 5/16 20/11 6/19 7/22 71/39 11/34 1/3 51/28 7/22 9/28 31/17 7/22 1/3 11/6 1/3 24/13 7/20 5/14 37/20 13/36 4/11 13/7 3/8 2/5 41/22 2/5 5/12 28/15 5/11 1/2 15/8 1/4 1/2 17/9 0/1 1/4 2/1 1/4 1/3 17/8 3/8 2/5 15/7 1/2 28/13 1/3 5/14 13/6 2/5 1/2 24/11 5/12 1/2 11/5 1/2 42/19 1/2 3/4 31/14 3/4 1/1 51/23 1/2 71/32 1/1 3/2 20/9 0/1 1/2 29/13 0/1 1/4 67/30 0/1 1/2 38/17 1/2 1/1 85/38 -1/6 0/1 132/59 0/1 47/21 0/1 1/8 9/4 1/4 1/2 34/15 0/1 1/2 25/11 0/1 1/0 66/29 0/1 41/18 0/1 1/8 16/7 0/1 1/4 39/17 1/6 23/10 4/17 1/4 30/13 1/4 5/18 97/42 1/4 3/11 67/29 1/4 2/7 37/16 1/4 4/15 7/3 3/10 1/3 33/14 1/3 26/11 1/3 15/44 71/30 1/3 13/38 45/19 9/26 64/27 1/3 7/20 19/8 6/17 5/14 50/21 4/11 3/8 131/55 3/8 2/5 81/34 3/8 1/2 31/13 1/3 1/2 43/18 7/20 6/17 55/23 5/14 67/28 5/14 4/11 12/5 5/14 3/8 65/27 4/11 3/8 53/22 4/11 11/30 94/39 7/19 17/46 41/17 10/27 3/8 70/29 34/91 3/8 99/41 3/8 29/12 3/8 14/37 46/19 7/18 2/5 17/7 3/8 2/5 22/9 2/5 27/11 1/2 32/13 2/5 1/2 37/15 3/8 2/5 5/2 3/7 1/2 33/13 1/2 28/11 1/2 11/21 51/20 1/2 13/24 23/9 1/2 4/7 110/43 4/7 87/34 1/2 7/12 64/25 19/32 3/5 41/16 5/8 2/3 18/7 1/2 3/4 67/26 1/2 2/3 116/45 5/8 2/3 165/64 2/3 49/19 2/3 3/4 31/12 3/4 1/1 13/5 0/1 1/0 47/18 2/5 1/2 34/13 0/1 1/2 89/34 0/1 1/4 55/21 1/2 76/29 2/3 3/4 21/8 1/2 1/0 50/19 0/1 1/0 29/11 -1/4 0/1 66/25 0/1 37/14 0/1 1/12 8/3 0/1 1/4 43/16 1/4 2/7 35/13 7/22 1/3 132/49 1/3 97/36 1/3 23/68 62/23 8/23 7/20 27/10 3/8 1/2 46/17 1/2 2/3 111/41 1/2 176/65 0/1 65/24 0/1 1/2 19/7 0/1 1/4 68/25 1/3 3/8 49/18 0/1 1/4 30/11 1/4 3/10 11/4 1/3 36/13 3/8 1/2 133/48 2/5 1/2 97/35 1/3 1/2 61/22 1/3 1/2 86/31 5/14 4/11 25/9 3/8 2/5 64/23 1/3 3/8 39/14 3/8 1/2 92/33 3/8 5/13 145/52 15/38 2/5 198/71 2/5 53/19 2/5 5/12 67/24 2/5 1/2 14/5 0/1 1/2 73/26 9/28 1/3 132/47 1/3 59/21 1/3 9/26 45/16 3/8 1/2 76/27 0/1 1/4 31/11 1/3 5/14 17/6 3/8 2/5 20/7 2/5 1/2 43/15 7/18 2/5 66/23 2/5 23/8 2/5 5/12 3/1 1/2 28/9 1/3 1/2 25/8 2/3 3/4 22/7 1/1 41/13 0/1 1/0 19/6 1/2 2/3 16/5 0/1 1/0 29/9 0/1 1/4 42/13 1/4 1/2 13/4 0/1 1/2 36/11 -1/2 1/0 23/7 -1/2 0/1 33/10 0/1 10/3 0/1 1/4 47/14 0/1 1/6 37/11 0/1 1/4 101/30 1/5 1/4 165/49 1/4 64/19 1/4 1/3 27/8 1/4 1/2 44/13 0/1 17/5 0/1 1/4 58/17 4/17 1/4 99/29 1/4 41/12 1/4 4/15 65/19 1/4 2/7 24/7 1/4 3/10 55/16 1/3 31/9 1/3 1/2 131/38 2/5 1/2 231/67 1/2 100/29 0/1 1/2 69/20 1/4 1/2 107/31 0/1 1/4 38/11 1/3 1/2 7/2 1/3 3/8 39/11 1/2 32/9 2/5 1/2 25/7 2/5 5/12 68/19 5/12 3/7 111/31 1/2 154/43 2/5 43/12 5/12 8/19 18/5 7/16 1/2 65/18 4/9 1/2 47/13 7/16 4/9 123/34 17/38 9/20 76/21 22/49 9/20 29/8 11/24 6/13 11/3 1/2 37/10 13/24 6/11 100/27 1/2 6/11 363/98 6/11 263/71 6/11 11/20 163/44 11/20 5/9 63/17 1/2 26/7 5/9 9/16 93/25 1/2 67/18 1/2 4/7 41/11 4/7 7/12 97/26 7/12 3/5 56/15 7/12 10/17 127/34 25/42 3/5 198/53 3/5 71/19 3/5 11/18 15/4 1/2 5/8 49/13 5/8 2/3 132/35 2/3 83/22 2/3 3/4 34/9 1/2 2/3 19/5 5/8 2/3 42/11 7/10 3/4 65/17 2/3 3/4 88/23 2/3 23/6 8/11 3/4 27/7 5/6 4/1 0/1 1/0 25/6 0/1 1/8 46/11 2/13 1/6 21/5 1/6 59/14 1/5 5/24 38/9 1/5 3/14 17/4 0/1 1/4 30/7 3/14 1/4 13/3 1/4 2/7 35/8 5/16 1/3 22/5 1/3 31/7 1/3 5/14 71/16 1/3 5/14 40/9 1/3 7/20 9/2 3/8 1/2 32/7 2/5 1/2 55/12 2/5 23/5 2/5 1/2 60/13 5/12 11/26 97/21 35/82 3/7 37/8 10/23 7/16 88/19 4/9 51/11 1/2 65/14 4/9 1/2 14/3 6/13 1/2 33/7 1/2 19/4 1/2 8/15 43/9 1/2 4/7 110/23 4/7 67/14 1/2 4/7 24/5 1/2 7/12 29/6 2/3 3/4 34/7 1/2 2/3 5/1 1/2 1/1 31/6 1/1 1/0 26/5 3/1 1/0 21/4 -1/2 1/0 16/3 0/1 1/0 27/5 -1/2 11/2 0/1 39/7 1/6 67/12 0/1 1/6 28/5 1/7 1/6 73/13 5/26 1/5 45/8 3/14 1/4 17/3 0/1 1/4 57/10 1/4 3/10 40/7 1/3 3/8 63/11 1/2 23/4 0/1 1/4 29/5 0/1 1/4 35/6 1/4 1/3 6/1 1/4 1/2 31/5 1/3 9/26 25/4 3/8 2/5 44/7 1/3 19/3 3/8 2/5 13/2 4/9 1/2 33/5 1/2 20/3 1/2 6/11 27/4 1/2 5/8 7/1 1/2 1/1 29/4 -2/1 1/0 22/3 0/1 37/5 0/1 1/4 15/2 1/4 1/2 23/3 1/2 2/3 8/1 0/1 1/0 17/2 0/1 1/4 26/3 1/5 1/4 9/1 1/2 19/2 0/1 1/6 10/1 0/1 1/4 11/1 1/2 1/0 0/1 1/2 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(131,1386,-50,-529) (-10/1,1/0) -> (-76/29,-131/50) Hyperbolic Matrix(199,1914,-144,-1385) (-10/1,-9/1) -> (-123/89,-76/55) Hyperbolic Matrix(131,1122,-108,-925) (-9/1,-17/2) -> (-17/14,-57/47) Hyperbolic Matrix(133,1122,94,793) (-17/2,-8/1) -> (58/41,17/12) Hyperbolic Matrix(265,2046,154,1189) (-8/1,-23/3) -> (43/25,74/43) Hyperbolic Matrix(199,1518,78,595) (-23/3,-15/2) -> (51/20,23/9) Hyperbolic Matrix(329,2442,-258,-1915) (-15/2,-22/3) -> (-88/69,-51/40) Hyperbolic Matrix(65,462,-28,-199) (-22/3,-7/1) -> (-7/3,-44/19) Hyperbolic Matrix(265,1782,-98,-659) (-7/1,-20/3) -> (-46/17,-73/27) Hyperbolic Matrix(199,1320,30,199) (-20/3,-33/5) -> (33/5,20/3) Hyperbolic Matrix(131,858,20,131) (-33/5,-13/2) -> (13/2,33/5) Hyperbolic Matrix(133,858,82,529) (-13/2,-19/3) -> (47/29,13/8) Hyperbolic Matrix(199,1254,-136,-857) (-19/3,-25/4) -> (-41/28,-19/13) Hyperbolic Matrix(593,3696,434,2705) (-25/4,-31/5) -> (97/71,41/30) Hyperbolic Matrix(397,2442,86,529) (-31/5,-6/1) -> (60/13,97/21) Hyperbolic Matrix(263,1518,-206,-1189) (-6/1,-23/4) -> (-23/18,-60/47) Hyperbolic Matrix(265,1518,-92,-527) (-23/4,-40/7) -> (-26/9,-23/8) Hyperbolic Matrix(197,1122,-174,-991) (-40/7,-17/3) -> (-17/15,-26/23) Hyperbolic Matrix(199,1122,-152,-857) (-17/3,-28/5) -> (-38/29,-17/13) Hyperbolic Matrix(131,726,-24,-133) (-28/5,-11/2) -> (-11/2,-38/7) Parabolic Matrix(925,5016,414,2245) (-38/7,-65/12) -> (67/30,38/17) Hyperbolic Matrix(1451,7854,390,2111) (-65/12,-27/5) -> (93/25,67/18) Hyperbolic Matrix(197,1056,86,461) (-27/5,-16/3) -> (16/7,39/17) Hyperbolic Matrix(263,1386,100,527) (-16/3,-21/4) -> (21/8,50/19) Hyperbolic Matrix(329,1716,-190,-991) (-21/4,-5/1) -> (-71/41,-45/26) Hyperbolic Matrix(67,330,-40,-197) (-5/1,-29/6) -> (-37/22,-5/3) Hyperbolic Matrix(329,1584,178,857) (-29/6,-24/5) -> (24/13,37/20) Hyperbolic Matrix(263,1254,-194,-925) (-24/5,-19/4) -> (-19/14,-42/31) Hyperbolic Matrix(265,1254,56,265) (-19/4,-33/7) -> (33/7,19/4) Hyperbolic Matrix(197,924,42,197) (-33/7,-14/3) -> (14/3,33/7) Hyperbolic Matrix(397,1848,142,661) (-14/3,-65/14) -> (67/24,14/5) Hyperbolic Matrix(2575,11946,1494,6931) (-65/14,-51/11) -> (81/47,131/76) Hyperbolic Matrix(527,2442,-456,-2113) (-51/11,-37/8) -> (-37/32,-15/13) Hyperbolic Matrix(329,1518,-272,-1255) (-37/8,-23/5) -> (-23/19,-29/24) Hyperbolic Matrix(793,3630,-490,-2243) (-23/5,-32/7) -> (-34/21,-89/55) Hyperbolic Matrix(131,594,58,263) (-32/7,-9/2) -> (9/4,34/15) Hyperbolic Matrix(133,594,-118,-527) (-9/2,-40/9) -> (-26/23,-9/8) Hyperbolic Matrix(461,2046,-372,-1651) (-40/9,-31/7) -> (-31/25,-26/21) Hyperbolic Matrix(463,2046,284,1255) (-31/7,-22/5) -> (44/27,31/19) Hyperbolic Matrix(197,858,-76,-331) (-22/5,-13/3) -> (-13/5,-44/17) Hyperbolic Matrix(199,858,138,595) (-13/3,-30/7) -> (36/25,13/9) Hyperbolic Matrix(463,1980,170,727) (-30/7,-17/4) -> (49/18,30/11) Hyperbolic Matrix(265,1122,-218,-923) (-17/4,-21/5) -> (-45/37,-17/14) Hyperbolic Matrix(1451,6072,536,2243) (-21/5,-46/11) -> (46/17,111/41) Hyperbolic Matrix(1123,4686,712,2971) (-46/11,-25/6) -> (41/26,112/71) Hyperbolic Matrix(461,1914,270,1121) (-25/6,-4/1) -> (70/41,41/24) Hyperbolic Matrix(395,1518,-172,-661) (-4/1,-23/6) -> (-23/10,-62/27) Hyperbolic Matrix(329,1254,-260,-991) (-23/6,-19/5) -> (-19/15,-43/34) Hyperbolic Matrix(593,2244,366,1385) (-19/5,-34/9) -> (34/21,47/29) Hyperbolic Matrix(1189,4488,-874,-3299) (-34/9,-49/13) -> (-83/61,-34/25) Hyperbolic Matrix(263,990,140,527) (-49/13,-15/4) -> (15/8,17/9) Hyperbolic Matrix(1253,4686,688,2573) (-15/4,-71/19) -> (71/39,51/28) Hyperbolic Matrix(2969,11088,-2174,-8119) (-71/19,-56/15) -> (-56/41,-127/93) Hyperbolic Matrix(3431,12804,2122,7919) (-56/15,-97/26) -> (97/60,76/47) Hyperbolic Matrix(991,3696,832,3103) (-97/26,-41/11) -> (25/21,31/26) Hyperbolic Matrix(1453,5412,1028,3829) (-41/11,-67/18) -> (65/46,41/29) Hyperbolic Matrix(2377,8844,426,1585) (-67/18,-93/25) -> (39/7,67/12) Hyperbolic Matrix(2573,9570,1650,6137) (-93/25,-26/7) -> (92/59,39/25) Hyperbolic Matrix(197,726,-54,-199) (-26/7,-11/3) -> (-11/3,-40/11) Parabolic Matrix(527,1914,-182,-661) (-40/11,-69/19) -> (-3/1,-26/9) Hyperbolic Matrix(3763,13662,-2672,-9701) (-69/19,-98/27) -> (-100/71,-69/49) Hyperbolic Matrix(1055,3828,218,791) (-98/27,-29/8) -> (29/6,34/7) Hyperbolic Matrix(857,3102,-602,-2179) (-29/8,-47/13) -> (-47/33,-37/26) Hyperbolic Matrix(1187,4290,438,1583) (-47/13,-65/18) -> (65/24,19/7) Hyperbolic Matrix(659,2376,256,923) (-65/18,-18/5) -> (18/7,67/26) Hyperbolic Matrix(331,1188,-202,-725) (-18/5,-25/7) -> (-41/25,-18/11) Hyperbolic Matrix(463,1650,204,727) (-25/7,-32/9) -> (34/15,25/11) Hyperbolic Matrix(595,2112,242,859) (-32/9,-39/11) -> (27/11,32/13) Hyperbolic Matrix(857,3036,540,1913) (-39/11,-7/2) -> (73/46,27/17) Hyperbolic Matrix(859,2970,-706,-2441) (-7/2,-38/11) -> (-28/23,-73/60) Hyperbolic Matrix(593,2046,-402,-1387) (-38/11,-69/20) -> (-3/2,-28/19) Hyperbolic Matrix(3827,13200,-2794,-9637) (-69/20,-31/9) -> (-163/119,-63/46) Hyperbolic Matrix(595,2046,-326,-1121) (-31/9,-24/7) -> (-42/23,-31/17) Hyperbolic Matrix(925,3168,-732,-2507) (-24/7,-65/19) -> (-67/53,-24/19) Hyperbolic Matrix(1583,5412,1158,3959) (-65/19,-41/12) -> (41/30,67/49) Hyperbolic Matrix(2377,8118,696,2377) (-41/12,-99/29) -> (99/29,41/12) Hyperbolic Matrix(3365,11484,986,3365) (-99/29,-58/17) -> (58/17,99/29) Hyperbolic Matrix(329,1122,290,989) (-58/17,-17/5) -> (17/15,8/7) Hyperbolic Matrix(331,1122,-136,-461) (-17/5,-27/8) -> (-39/16,-17/7) Hyperbolic Matrix(1253,4224,450,1517) (-27/8,-64/19) -> (64/23,39/14) Hyperbolic Matrix(6271,21120,1862,6271) (-64/19,-165/49) -> (165/49,64/19) Hyperbolic Matrix(9899,33330,2940,9899) (-165/49,-101/30) -> (101/30,165/49) Hyperbolic Matrix(1255,4224,216,727) (-101/30,-37/11) -> (29/5,35/6) Hyperbolic Matrix(923,3102,-668,-2245) (-37/11,-10/3) -> (-76/55,-29/21) Hyperbolic Matrix(199,660,60,199) (-10/3,-33/10) -> (33/10,10/3) Hyperbolic Matrix(461,1518,140,461) (-33/10,-23/7) -> (23/7,33/10) Hyperbolic Matrix(463,1518,262,859) (-23/7,-36/11) -> (30/17,23/13) Hyperbolic Matrix(263,858,202,659) (-36/11,-13/4) -> (13/10,30/23) Hyperbolic Matrix(265,858,-122,-395) (-13/4,-29/9) -> (-37/17,-13/6) Hyperbolic Matrix(595,1914,226,727) (-29/9,-16/5) -> (50/19,29/11) Hyperbolic Matrix(395,1254,166,527) (-16/5,-19/6) -> (19/8,50/21) Hyperbolic Matrix(397,1254,-334,-1055) (-19/6,-22/7) -> (-44/37,-19/16) Hyperbolic Matrix(527,1650,84,263) (-22/7,-25/8) -> (25/4,44/7) Hyperbolic Matrix(659,2046,-468,-1453) (-25/8,-3/1) -> (-69/49,-107/76) Hyperbolic Matrix(461,1320,-300,-859) (-23/8,-20/7) -> (-20/13,-43/28) Hyperbolic Matrix(395,1122,232,659) (-20/7,-17/6) -> (17/10,46/27) Hyperbolic Matrix(725,2046,444,1253) (-17/6,-31/11) -> (31/19,49/30) Hyperbolic Matrix(1783,5016,-680,-1913) (-31/11,-45/16) -> (-21/8,-97/37) Hyperbolic Matrix(2113,5940,376,1057) (-45/16,-59/21) -> (73/13,45/8) Hyperbolic Matrix(659,1848,-424,-1189) (-59/21,-14/5) -> (-14/9,-73/47) Hyperbolic Matrix(661,1848,142,397) (-14/5,-67/24) -> (65/14,14/3) Hyperbolic Matrix(2507,6996,1466,4091) (-67/24,-53/19) -> (53/31,65/38) Hyperbolic Matrix(6533,18216,-4190,-11683) (-53/19,-92/33) -> (-92/59,-145/93) Hyperbolic Matrix(3433,9570,2510,6997) (-92/33,-39/14) -> (93/68,26/19) Hyperbolic Matrix(1517,4224,450,1253) (-39/14,-64/23) -> (64/19,27/8) Hyperbolic Matrix(1187,3300,332,923) (-64/23,-25/9) -> (25/7,68/19) Hyperbolic Matrix(263,726,-96,-265) (-25/9,-11/4) -> (-11/4,-41/15) Parabolic Matrix(1715,4686,1304,3563) (-41/15,-112/41) -> (46/35,25/19) Hyperbolic Matrix(3431,9372,1546,4223) (-112/41,-71/26) -> (71/32,20/9) Hyperbolic Matrix(3433,9372,774,2113) (-71/26,-101/37) -> (31/7,71/16) Hyperbolic Matrix(2177,5940,-1234,-3367) (-101/37,-30/11) -> (-30/17,-97/55) Hyperbolic Matrix(727,1980,170,463) (-30/11,-49/18) -> (17/4,30/7) Hyperbolic Matrix(461,1254,218,593) (-49/18,-68/25) -> (2/1,17/8) Hyperbolic Matrix(923,2508,534,1451) (-68/25,-19/7) -> (19/11,64/37) Hyperbolic Matrix(1583,4290,438,1187) (-19/7,-65/24) -> (65/18,47/13) Hyperbolic Matrix(6995,18942,1462,3959) (-65/24,-176/65) -> (110/23,67/14) Hyperbolic Matrix(13529,36630,3778,10229) (-176/65,-111/41) -> (111/31,154/43) Hyperbolic Matrix(2243,6072,536,1451) (-111/41,-46/17) -> (46/11,21/5) Hyperbolic Matrix(1123,3036,806,2179) (-73/27,-27/10) -> (39/28,7/5) Hyperbolic Matrix(1517,4092,856,2309) (-27/10,-62/23) -> (62/35,39/22) Hyperbolic Matrix(3037,8184,-1910,-5147) (-62/23,-35/13) -> (-97/61,-62/39) Hyperbolic Matrix(1055,2838,-442,-1189) (-35/13,-8/3) -> (-74/31,-31/13) Hyperbolic Matrix(199,528,-124,-329) (-8/3,-29/11) -> (-37/23,-8/5) Hyperbolic Matrix(727,1914,226,595) (-29/11,-50/19) -> (16/5,29/9) Hyperbolic Matrix(527,1386,100,263) (-50/19,-21/8) -> (21/4,16/3) Hyperbolic Matrix(4885,12804,3576,9373) (-97/37,-76/29) -> (56/41,97/71) Hyperbolic Matrix(4157,10890,1738,4553) (-131/50,-55/21) -> (55/23,67/28) Hyperbolic Matrix(1387,3630,-1084,-2837) (-55/21,-34/13) -> (-32/25,-55/43) Hyperbolic Matrix(859,2244,632,1651) (-34/13,-47/18) -> (19/14,34/25) Hyperbolic Matrix(329,858,278,725) (-47/18,-13/5) -> (13/11,19/16) Hyperbolic Matrix(791,2046,612,1583) (-44/17,-31/12) -> (31/24,22/17) Hyperbolic Matrix(793,2046,512,1321) (-31/12,-49/19) -> (17/11,31/20) Hyperbolic Matrix(6271,16170,2432,6271) (-49/19,-165/64) -> (165/64,49/19) Hyperbolic Matrix(14849,38280,5760,14849) (-165/64,-116/45) -> (116/45,165/64) Hyperbolic Matrix(7195,18546,4174,10759) (-116/45,-67/26) -> (131/76,50/29) Hyperbolic Matrix(923,2376,256,659) (-67/26,-18/7) -> (18/5,65/18) Hyperbolic Matrix(463,1188,-334,-857) (-18/7,-23/9) -> (-43/31,-18/13) Hyperbolic Matrix(595,1518,78,199) (-23/9,-51/20) -> (15/2,23/3) Hyperbolic Matrix(725,1848,388,989) (-51/20,-28/11) -> (28/15,15/8) Hyperbolic Matrix(727,1848,286,727) (-28/11,-33/13) -> (33/13,28/11) Hyperbolic Matrix(131,330,52,131) (-33/13,-5/2) -> (5/2,33/13) Hyperbolic Matrix(133,330,-106,-263) (-5/2,-32/13) -> (-34/27,-5/4) Hyperbolic Matrix(859,2112,242,595) (-32/13,-27/11) -> (39/11,32/9) Hyperbolic Matrix(593,1452,350,857) (-27/11,-22/9) -> (22/13,39/23) Hyperbolic Matrix(595,1452,352,859) (-22/9,-39/16) -> (27/16,22/13) Hyperbolic Matrix(463,1122,300,727) (-17/7,-46/19) -> (20/13,17/11) Hyperbolic Matrix(791,1914,436,1055) (-46/19,-29/12) -> (29/16,20/11) Hyperbolic Matrix(2377,5742,984,2377) (-29/12,-99/41) -> (99/41,29/12) Hyperbolic Matrix(5741,13860,2378,5741) (-99/41,-70/29) -> (70/29,99/41) Hyperbolic Matrix(793,1914,602,1453) (-70/29,-41/17) -> (25/19,4/3) Hyperbolic Matrix(1123,2706,-520,-1253) (-41/17,-53/22) -> (-13/6,-41/19) Hyperbolic Matrix(2905,6996,1864,4489) (-53/22,-65/27) -> (67/43,53/34) Hyperbolic Matrix(659,1584,384,923) (-65/27,-12/5) -> (12/7,67/39) Hyperbolic Matrix(661,1584,386,925) (-12/5,-67/28) -> (65/38,12/7) Hyperbolic Matrix(331,792,28,67) (-67/28,-55/23) -> (11/1,1/0) Hyperbolic Matrix(3037,7260,1160,2773) (-55/23,-43/18) -> (89/34,55/21) Hyperbolic Matrix(857,2046,746,1781) (-43/18,-74/31) -> (8/7,23/20) Hyperbolic Matrix(1717,4092,942,2245) (-31/13,-81/34) -> (51/28,31/17) Hyperbolic Matrix(5015,11946,3934,9371) (-81/34,-131/55) -> (65/51,51/40) Hyperbolic Matrix(7787,18546,4766,11351) (-131/55,-50/21) -> (116/71,67/41) Hyperbolic Matrix(527,1254,166,395) (-50/21,-19/8) -> (19/6,16/5) Hyperbolic Matrix(1057,2508,668,1585) (-19/8,-64/27) -> (68/43,19/12) Hyperbolic Matrix(3565,8448,-2172,-5147) (-64/27,-45/19) -> (-87/53,-64/39) Hyperbolic Matrix(725,1716,-586,-1387) (-45/19,-26/11) -> (-26/21,-21/17) Hyperbolic Matrix(727,1716,308,727) (-26/11,-33/14) -> (33/14,26/11) Hyperbolic Matrix(197,462,84,197) (-33/14,-7/3) -> (7/3,33/14) Hyperbolic Matrix(2111,4884,456,1055) (-44/19,-37/16) -> (37/8,88/19) Hyperbolic Matrix(1913,4422,1056,2441) (-37/16,-67/29) -> (67/37,29/16) Hyperbolic Matrix(2773,6402,-1772,-4091) (-67/29,-30/13) -> (-36/23,-133/85) Hyperbolic Matrix(659,1518,458,1055) (-30/13,-23/10) -> (23/16,36/25) Hyperbolic Matrix(1783,4092,1122,2575) (-62/27,-39/17) -> (27/17,62/39) Hyperbolic Matrix(461,1056,86,197) (-39/17,-16/7) -> (16/3,27/5) Hyperbolic Matrix(463,1056,-260,-593) (-16/7,-25/11) -> (-41/23,-16/9) Hyperbolic Matrix(727,1650,204,463) (-25/11,-34/15) -> (32/9,25/7) Hyperbolic Matrix(263,594,58,131) (-34/15,-9/4) -> (9/2,32/7) Hyperbolic Matrix(2771,6204,766,1715) (-9/4,-47/21) -> (47/13,123/34) Hyperbolic Matrix(2243,5016,-1240,-2773) (-47/21,-38/17) -> (-38/21,-85/47) Hyperbolic Matrix(1979,4422,354,791) (-38/17,-67/30) -> (67/12,28/5) Hyperbolic Matrix(1981,4422,1124,2509) (-67/30,-29/13) -> (37/21,67/38) Hyperbolic Matrix(859,1914,504,1123) (-29/13,-20/9) -> (46/27,29/17) Hyperbolic Matrix(3301,7326,1190,2641) (-20/9,-71/32) -> (61/22,86/31) Hyperbolic Matrix(2113,4686,1548,3433) (-71/32,-51/23) -> (15/11,71/52) Hyperbolic Matrix(1847,4092,1072,2375) (-51/23,-31/14) -> (31/18,81/47) Hyperbolic Matrix(925,2046,-656,-1451) (-31/14,-11/5) -> (-55/39,-31/22) Hyperbolic Matrix(725,1584,-514,-1123) (-11/5,-24/11) -> (-24/17,-55/39) Hyperbolic Matrix(727,1584,576,1255) (-24/11,-37/17) -> (29/23,24/19) Hyperbolic Matrix(857,1848,-582,-1255) (-41/19,-28/13) -> (-28/19,-25/17) Hyperbolic Matrix(859,1848,522,1123) (-28/13,-15/7) -> (51/31,28/17) Hyperbolic Matrix(463,990,340,727) (-15/7,-17/8) -> (49/36,15/11) Hyperbolic Matrix(593,1254,218,461) (-17/8,-2/1) -> (68/25,49/18) Hyperbolic Matrix(661,1254,418,793) (-2/1,-17/9) -> (49/31,68/43) Hyperbolic Matrix(527,990,140,263) (-17/9,-15/8) -> (15/4,49/13) Hyperbolic Matrix(989,1848,388,725) (-15/8,-28/15) -> (28/11,51/20) Hyperbolic Matrix(1453,2706,-850,-1583) (-28/15,-13/7) -> (-53/31,-94/55) Hyperbolic Matrix(463,858,-320,-593) (-13/7,-24/13) -> (-42/29,-13/9) Hyperbolic Matrix(395,726,-216,-397) (-24/13,-11/6) -> (-11/6,-42/23) Parabolic Matrix(2245,4092,942,1717) (-31/17,-51/28) -> (81/34,31/13) Hyperbolic Matrix(2573,4686,688,1253) (-51/28,-71/39) -> (71/19,15/4) Hyperbolic Matrix(5149,9372,3264,5941) (-71/39,-20/11) -> (112/71,71/45) Hyperbolic Matrix(1055,1914,436,791) (-20/11,-29/16) -> (29/12,46/19) Hyperbolic Matrix(2441,4422,1056,1913) (-29/16,-67/37) -> (67/29,37/16) Hyperbolic Matrix(2771,5016,2260,4091) (-67/37,-38/21) -> (38/31,65/53) Hyperbolic Matrix(9635,17424,4306,7787) (-85/47,-132/73) -> (132/59,47/21) Hyperbolic Matrix(9637,17424,4308,7789) (-132/73,-47/26) -> (85/38,132/59) Hyperbolic Matrix(329,594,36,65) (-47/26,-9/5) -> (9/1,19/2) Hyperbolic Matrix(331,594,258,463) (-9/5,-34/19) -> (32/25,9/7) Hyperbolic Matrix(923,1650,664,1187) (-34/19,-25/14) -> (25/18,32/23) Hyperbolic Matrix(2441,4356,1072,1913) (-25/14,-66/37) -> (66/29,41/18) Hyperbolic Matrix(2443,4356,1074,1915) (-66/37,-41/23) -> (25/11,66/29) Hyperbolic Matrix(595,1056,484,859) (-16/9,-39/22) -> (27/22,16/13) Hyperbolic Matrix(857,1518,-634,-1123) (-39/22,-23/13) -> (-23/17,-27/20) Hyperbolic Matrix(859,1518,262,463) (-23/13,-30/17) -> (36/11,23/7) Hyperbolic Matrix(20659,36432,-15082,-26597) (-97/55,-67/38) -> (-263/192,-163/119) Hyperbolic Matrix(2509,4422,1124,1981) (-67/38,-37/21) -> (29/13,67/30) Hyperbolic Matrix(263,462,-226,-397) (-37/21,-7/4) -> (-7/6,-29/25) Hyperbolic Matrix(265,462,152,265) (-7/4,-33/19) -> (33/19,7/4) Hyperbolic Matrix(989,1716,570,989) (-33/19,-26/15) -> (26/15,33/19) Hyperbolic Matrix(2705,4686,-2096,-3631) (-26/15,-71/41) -> (-71/55,-40/31) Hyperbolic Matrix(5875,10164,-4234,-7325) (-45/26,-64/37) -> (-68/49,-111/80) Hyperbolic Matrix(1451,2508,534,923) (-64/37,-19/11) -> (19/7,68/25) Hyperbolic Matrix(727,1254,498,859) (-19/11,-50/29) -> (16/11,19/13) Hyperbolic Matrix(10759,18546,4174,7195) (-50/29,-131/76) -> (67/26,116/45) Hyperbolic Matrix(6931,11946,1494,2575) (-131/76,-81/47) -> (51/11,65/14) Hyperbolic Matrix(2375,4092,1072,1847) (-81/47,-31/18) -> (31/14,51/23) Hyperbolic Matrix(1649,2838,-1036,-1783) (-31/18,-43/25) -> (-43/27,-35/22) Hyperbolic Matrix(2111,3630,460,791) (-43/25,-55/32) -> (55/12,23/5) Hyperbolic Matrix(6337,10890,3918,6733) (-55/32,-67/39) -> (131/81,55/34) Hyperbolic Matrix(923,1584,384,659) (-67/39,-12/7) -> (12/5,65/27) Hyperbolic Matrix(925,1584,386,661) (-12/7,-65/38) -> (67/28,12/5) Hyperbolic Matrix(4091,6996,1466,2507) (-65/38,-53/31) -> (53/19,67/24) Hyperbolic Matrix(6797,11616,-4828,-8251) (-94/55,-41/24) -> (-107/76,-38/27) Hyperbolic Matrix(1121,1914,270,461) (-41/24,-70/41) -> (4/1,25/6) Hyperbolic Matrix(8119,13860,4756,8119) (-70/41,-99/58) -> (99/58,70/41) Hyperbolic Matrix(3365,5742,1972,3365) (-99/58,-29/17) -> (29/17,99/58) Hyperbolic Matrix(1123,1914,504,859) (-29/17,-46/27) -> (20/9,29/13) Hyperbolic Matrix(659,1122,232,395) (-46/27,-17/10) -> (17/6,20/7) Hyperbolic Matrix(661,1122,-466,-791) (-17/10,-22/13) -> (-44/31,-17/12) Hyperbolic Matrix(1055,1782,312,527) (-22/13,-27/16) -> (27/8,44/13) Hyperbolic Matrix(1253,2112,900,1517) (-27/16,-32/19) -> (32/23,39/28) Hyperbolic Matrix(2903,4884,784,1319) (-32/19,-37/22) -> (37/10,100/27) Hyperbolic Matrix(199,330,120,199) (-5/3,-33/20) -> (33/20,5/3) Hyperbolic Matrix(1121,1848,680,1121) (-33/20,-28/17) -> (28/17,33/20) Hyperbolic Matrix(1123,1848,522,859) (-28/17,-51/31) -> (15/7,28/13) Hyperbolic Matrix(923,1518,802,1319) (-51/31,-23/14) -> (23/20,15/13) Hyperbolic Matrix(2773,4554,724,1189) (-23/14,-110/67) -> (88/23,23/6) Hyperbolic Matrix(16765,27522,6192,10165) (-110/67,-87/53) -> (111/41,176/65) Hyperbolic Matrix(2575,4224,926,1519) (-64/39,-41/25) -> (25/9,64/23) Hyperbolic Matrix(1453,2376,1050,1717) (-18/11,-67/41) -> (65/47,18/13) Hyperbolic Matrix(11351,18546,4766,7787) (-67/41,-116/71) -> (50/21,131/55) Hyperbolic Matrix(23431,38280,14342,23431) (-116/71,-165/101) -> (165/101,116/71) Hyperbolic Matrix(9899,16170,6060,9899) (-165/101,-49/30) -> (49/30,165/101) Hyperbolic Matrix(1253,2046,444,725) (-49/30,-31/19) -> (31/11,17/6) Hyperbolic Matrix(527,858,-406,-661) (-31/19,-13/8) -> (-13/10,-35/27) Hyperbolic Matrix(529,858,82,133) (-13/8,-47/29) -> (19/3,13/2) Hyperbolic Matrix(1385,2244,366,593) (-47/29,-34/21) -> (34/9,19/5) Hyperbolic Matrix(4487,7260,2610,4223) (-89/55,-55/34) -> (55/32,43/25) Hyperbolic Matrix(857,1386,-776,-1255) (-55/34,-76/47) -> (-10/9,-11/10) Hyperbolic Matrix(3103,5016,-2000,-3233) (-76/47,-21/13) -> (-45/29,-76/49) Hyperbolic Matrix(859,1386,696,1123) (-21/13,-50/31) -> (16/13,21/17) Hyperbolic Matrix(1187,1914,818,1319) (-50/31,-29/18) -> (29/20,16/11) Hyperbolic Matrix(2705,4356,1024,1649) (-29/18,-66/41) -> (66/25,37/14) Hyperbolic Matrix(2707,4356,1026,1651) (-66/41,-37/23) -> (29/11,66/25) Hyperbolic Matrix(331,528,42,67) (-8/5,-43/27) -> (23/3,8/1) Hyperbolic Matrix(10955,17424,4066,6467) (-35/22,-132/83) -> (132/49,97/36) Hyperbolic Matrix(10957,17424,4068,6469) (-132/83,-97/61) -> (35/13,132/49) Hyperbolic Matrix(1121,1782,290,461) (-62/39,-27/17) -> (27/7,4/1) Hyperbolic Matrix(1123,1782,-956,-1517) (-27/17,-46/29) -> (-20/17,-27/23) Hyperbolic Matrix(3829,6072,2914,4621) (-46/29,-111/70) -> (21/16,46/35) Hyperbolic Matrix(17357,27522,6784,10757) (-111/70,-176/111) -> (110/43,87/34) Hyperbolic Matrix(10823,17160,2830,4487) (-176/111,-65/41) -> (65/17,88/23) Hyperbolic Matrix(2707,4290,1958,3103) (-65/41,-19/12) -> (47/34,65/47) Hyperbolic Matrix(1585,2508,668,1057) (-19/12,-68/43) -> (64/27,19/8) Hyperbolic Matrix(793,1254,418,661) (-68/43,-49/31) -> (17/9,2/1) Hyperbolic Matrix(1253,1980,960,1517) (-49/31,-30/19) -> (30/23,17/13) Hyperbolic Matrix(461,726,-294,-463) (-30/19,-11/7) -> (-11/7,-36/23) Parabolic Matrix(10757,16830,-7636,-11947) (-133/85,-97/62) -> (-31/22,-131/93) Hyperbolic Matrix(1519,2376,296,463) (-97/62,-61/39) -> (5/1,31/6) Hyperbolic Matrix(4685,7326,2574,4025) (-61/39,-86/55) -> (20/11,71/39) Hyperbolic Matrix(2111,3300,506,791) (-86/55,-25/16) -> (25/6,46/11) Hyperbolic Matrix(2705,4224,1056,1649) (-25/16,-64/41) -> (64/25,41/16) Hyperbolic Matrix(2707,4224,1904,2971) (-64/41,-39/25) -> (27/19,64/45) Hyperbolic Matrix(6137,9570,1650,2573) (-39/25,-92/59) -> (26/7,93/25) Hyperbolic Matrix(25145,39204,9016,14057) (-145/93,-198/127) -> (198/71,53/19) Hyperbolic Matrix(25147,39204,9018,14059) (-198/127,-53/34) -> (145/52,198/71) Hyperbolic Matrix(4489,6996,1864,2905) (-53/34,-67/43) -> (65/27,53/22) Hyperbolic Matrix(1187,1848,932,1451) (-67/43,-14/9) -> (14/11,65/51) Hyperbolic Matrix(11219,17424,3994,6203) (-73/47,-132/85) -> (132/47,59/21) Hyperbolic Matrix(11221,17424,3996,6205) (-132/85,-59/38) -> (73/26,132/47) Hyperbolic Matrix(2509,3894,596,925) (-59/38,-45/29) -> (21/5,59/14) Hyperbolic Matrix(5873,9108,1574,2441) (-76/49,-31/20) -> (97/26,56/15) Hyperbolic Matrix(1321,2046,512,793) (-31/20,-17/11) -> (49/19,31/12) Hyperbolic Matrix(727,1122,300,463) (-17/11,-20/13) -> (46/19,17/7) Hyperbolic Matrix(2837,4356,988,1517) (-43/28,-66/43) -> (66/23,23/8) Hyperbolic Matrix(2839,4356,990,1519) (-66/43,-23/15) -> (43/15,66/23) Hyperbolic Matrix(991,1518,-818,-1253) (-23/15,-3/2) -> (-63/52,-23/19) Hyperbolic Matrix(989,1452,314,461) (-25/17,-22/15) -> (22/7,41/13) Hyperbolic Matrix(991,1452,316,463) (-22/15,-41/28) -> (25/8,22/7) Hyperbolic Matrix(859,1254,498,727) (-19/13,-16/11) -> (50/29,19/11) Hyperbolic Matrix(1319,1914,818,1187) (-16/11,-29/20) -> (29/18,50/31) Hyperbolic Matrix(1321,1914,274,397) (-29/20,-42/29) -> (24/5,29/6) Hyperbolic Matrix(595,858,138,199) (-13/9,-36/25) -> (30/7,13/3) Hyperbolic Matrix(1055,1518,458,659) (-36/25,-23/16) -> (23/10,30/13) Hyperbolic Matrix(1057,1518,736,1057) (-23/16,-33/23) -> (33/23,23/16) Hyperbolic Matrix(461,660,322,461) (-33/23,-10/7) -> (10/7,33/23) Hyperbolic Matrix(463,660,-416,-593) (-10/7,-47/33) -> (-19/17,-10/9) Hyperbolic Matrix(5149,7326,1114,1585) (-37/26,-101/71) -> (97/21,37/8) Hyperbolic Matrix(23431,33330,16472,23431) (-101/71,-165/116) -> (165/116,101/71) Hyperbolic Matrix(14849,21120,10440,14849) (-165/116,-64/45) -> (64/45,165/116) Hyperbolic Matrix(2971,4224,1904,2707) (-64/45,-27/19) -> (39/25,64/41) Hyperbolic Matrix(1255,1782,512,727) (-27/19,-44/31) -> (22/9,27/11) Hyperbolic Matrix(793,1122,94,133) (-17/12,-58/41) -> (8/1,17/2) Hyperbolic Matrix(8119,11484,5740,8119) (-58/41,-99/70) -> (99/70,58/41) Hyperbolic Matrix(5741,8118,4060,5741) (-99/70,-41/29) -> (41/29,99/70) Hyperbolic Matrix(3829,5412,1028,1453) (-41/29,-65/46) -> (67/18,41/11) Hyperbolic Matrix(3037,4290,-2242,-3167) (-65/46,-24/17) -> (-42/31,-65/48) Hyperbolic Matrix(76891,108306,20758,29239) (-131/93,-231/164) -> (363/98,263/71) Hyperbolic Matrix(42173,59400,11386,16037) (-231/164,-100/71) -> (100/27,363/98) Hyperbolic Matrix(1783,2508,-1360,-1913) (-38/27,-7/5) -> (-59/45,-38/29) Hyperbolic Matrix(331,462,48,67) (-7/5,-39/28) -> (27/4,7/1) Hyperbolic Matrix(1517,2112,900,1253) (-39/28,-32/23) -> (32/19,27/16) Hyperbolic Matrix(1187,1650,664,923) (-32/23,-25/18) -> (25/14,34/19) Hyperbolic Matrix(2377,3300,1522,2113) (-25/18,-68/49) -> (64/41,25/16) Hyperbolic Matrix(26401,36630,16650,23101) (-111/80,-154/111) -> (176/111,111/70) Hyperbolic Matrix(8183,11352,1712,2375) (-154/111,-43/31) -> (43/9,110/23) Hyperbolic Matrix(1717,2376,1050,1453) (-18/13,-65/47) -> (67/41,18/11) Hyperbolic Matrix(3103,4290,1958,2707) (-65/47,-47/34) -> (19/12,65/41) Hyperbolic Matrix(4489,6204,2484,3433) (-47/34,-123/89) -> (9/5,47/26) Hyperbolic Matrix(527,726,-384,-529) (-29/21,-11/8) -> (-11/8,-37/27) Parabolic Matrix(3565,4884,1446,1981) (-37/27,-100/73) -> (32/13,37/15) Hyperbolic Matrix(43363,59400,12576,17227) (-100/73,-363/265) -> (231/67,100/29) Hyperbolic Matrix(79067,108306,22934,31415) (-363/265,-263/192) -> (131/38,231/67) Hyperbolic Matrix(3037,4158,-2506,-3431) (-63/46,-26/19) -> (-40/33,-63/52) Hyperbolic Matrix(6997,9570,2510,3433) (-26/19,-93/68) -> (39/14,92/33) Hyperbolic Matrix(5743,7854,4682,6403) (-93/68,-67/49) -> (65/53,27/22) Hyperbolic Matrix(3959,5412,1158,1583) (-67/49,-41/30) -> (41/12,65/19) Hyperbolic Matrix(2705,3696,434,593) (-41/30,-97/71) -> (31/5,25/4) Hyperbolic Matrix(6667,9108,2368,3235) (-97/71,-56/41) -> (76/27,31/11) Hyperbolic Matrix(28709,39204,7684,10493) (-127/93,-198/145) -> (198/53,71/19) Hyperbolic Matrix(28711,39204,7686,10495) (-198/145,-71/52) -> (127/34,198/53) Hyperbolic Matrix(3433,4686,1548,2113) (-71/52,-15/11) -> (51/23,71/32) Hyperbolic Matrix(727,990,340,463) (-15/11,-49/36) -> (17/8,15/7) Hyperbolic Matrix(12803,17424,3394,4619) (-49/36,-132/97) -> (132/35,83/22) Hyperbolic Matrix(12805,17424,3396,4621) (-132/97,-83/61) -> (49/13,132/35) Hyperbolic Matrix(1651,2244,632,859) (-34/25,-19/14) -> (47/18,34/13) Hyperbolic Matrix(12673,17160,4680,6337) (-65/48,-88/65) -> (176/65,65/24) Hyperbolic Matrix(3365,4554,1316,1781) (-88/65,-23/17) -> (23/9,110/43) Hyperbolic Matrix(1321,1782,490,661) (-27/20,-4/3) -> (62/23,27/10) Hyperbolic Matrix(1453,1914,602,793) (-4/3,-25/19) -> (41/17,70/29) Hyperbolic Matrix(2509,3300,904,1189) (-25/19,-46/35) -> (86/31,25/9) Hyperbolic Matrix(4621,6072,2914,3829) (-46/35,-21/16) -> (111/70,46/29) Hyperbolic Matrix(2969,3894,1056,1385) (-21/16,-59/45) -> (59/21,45/16) Hyperbolic Matrix(1517,1980,960,1253) (-17/13,-30/23) -> (30/19,49/31) Hyperbolic Matrix(659,858,202,263) (-30/23,-13/10) -> (13/4,36/11) Hyperbolic Matrix(1121,1452,254,329) (-35/27,-22/17) -> (22/5,31/7) Hyperbolic Matrix(1123,1452,256,331) (-22/17,-31/24) -> (35/8,22/5) Hyperbolic Matrix(7259,9372,4600,5939) (-31/24,-71/55) -> (71/45,101/64) Hyperbolic Matrix(2047,2640,-1688,-2177) (-40/31,-9/7) -> (-57/47,-40/33) Hyperbolic Matrix(463,594,258,331) (-9/7,-32/25) -> (34/19,9/5) Hyperbolic Matrix(2839,3630,1188,1519) (-55/43,-23/18) -> (43/18,55/23) Hyperbolic Matrix(1913,2442,1602,2045) (-60/47,-97/76) -> (31/26,6/5) Hyperbolic Matrix(5741,7326,1706,2177) (-97/76,-37/29) -> (37/11,101/30) Hyperbolic Matrix(3829,4884,2174,2773) (-37/29,-88/69) -> (44/25,37/21) Hyperbolic Matrix(9371,11946,3934,5015) (-51/40,-65/51) -> (131/55,81/34) Hyperbolic Matrix(1451,1848,932,1187) (-65/51,-14/11) -> (14/9,67/43) Hyperbolic Matrix(727,924,572,727) (-14/11,-33/26) -> (33/26,14/11) Hyperbolic Matrix(989,1254,780,989) (-33/26,-19/15) -> (19/15,33/26) Hyperbolic Matrix(8977,11352,2506,3169) (-43/34,-110/87) -> (154/43,43/12) Hyperbolic Matrix(14983,18942,9450,11947) (-110/87,-67/53) -> (65/41,176/111) Hyperbolic Matrix(1517,1914,470,593) (-24/19,-29/23) -> (29/9,42/13) Hyperbolic Matrix(3037,3828,2200,2773) (-29/23,-34/27) -> (98/71,29/21) Hyperbolic Matrix(1913,2376,690,857) (-5/4,-31/25) -> (97/35,61/22) Hyperbolic Matrix(1123,1386,696,859) (-21/17,-16/13) -> (50/31,21/13) Hyperbolic Matrix(859,1056,484,595) (-16/13,-27/22) -> (39/22,16/9) Hyperbolic Matrix(593,726,-486,-595) (-27/22,-11/9) -> (-11/9,-39/32) Parabolic Matrix(7259,8844,5308,6467) (-39/32,-67/55) -> (67/49,93/68) Hyperbolic Matrix(3631,4422,2006,2443) (-67/55,-28/23) -> (38/21,67/37) Hyperbolic Matrix(4883,5940,3146,3827) (-73/60,-45/37) -> (45/29,59/38) Hyperbolic Matrix(3497,4224,2458,2969) (-29/24,-35/29) -> (101/71,37/26) Hyperbolic Matrix(329,396,54,65) (-35/29,-6/5) -> (6/1,31/5) Hyperbolic Matrix(331,396,56,67) (-6/5,-31/26) -> (35/6,6/1) Hyperbolic Matrix(3103,3696,832,991) (-31/26,-25/21) -> (41/11,97/26) Hyperbolic Matrix(1387,1650,944,1123) (-25/21,-44/37) -> (22/15,25/17) Hyperbolic Matrix(725,858,278,329) (-19/16,-13/11) -> (13/5,47/18) Hyperbolic Matrix(727,858,616,727) (-13/11,-33/28) -> (33/28,13/11) Hyperbolic Matrix(1121,1320,952,1121) (-33/28,-20/17) -> (20/17,33/28) Hyperbolic Matrix(395,462,112,131) (-27/23,-7/6) -> (7/2,39/11) Hyperbolic Matrix(1253,1452,170,197) (-29/25,-22/19) -> (22/3,37/5) Hyperbolic Matrix(1255,1452,172,199) (-22/19,-37/32) -> (29/4,22/3) Hyperbolic Matrix(1319,1518,802,923) (-15/13,-23/20) -> (23/14,51/31) Hyperbolic Matrix(461,528,172,197) (-23/20,-8/7) -> (8/3,43/16) Hyperbolic Matrix(989,1122,290,329) (-8/7,-17/15) -> (17/5,58/17) Hyperbolic Matrix(529,594,236,265) (-9/8,-19/17) -> (47/21,9/4) Hyperbolic Matrix(725,792,422,461) (-11/10,-1/1) -> (67/39,55/32) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(1255,-1386,776,-857) (1/1,10/9) -> (76/47,131/81) Hyperbolic Matrix(1715,-1914,474,-529) (10/9,9/8) -> (123/34,76/21) Hyperbolic Matrix(991,-1122,174,-197) (9/8,17/15) -> (17/3,57/10) Hyperbolic Matrix(2113,-2442,456,-527) (15/13,22/19) -> (88/19,51/11) Hyperbolic Matrix(397,-462,226,-263) (22/19,7/6) -> (7/4,44/25) Hyperbolic Matrix(1517,-1782,956,-1123) (7/6,20/17) -> (46/29,73/46) Hyperbolic Matrix(1055,-1254,334,-397) (19/16,25/21) -> (41/13,19/6) Hyperbolic Matrix(1255,-1518,272,-329) (6/5,23/19) -> (23/5,60/13) Hyperbolic Matrix(1253,-1518,818,-991) (23/19,40/33) -> (26/17,23/15) Hyperbolic Matrix(925,-1122,108,-131) (40/33,17/14) -> (17/2,26/3) Hyperbolic Matrix(923,-1122,218,-265) (17/14,28/23) -> (38/9,17/4) Hyperbolic Matrix(595,-726,486,-593) (28/23,11/9) -> (11/9,38/31) Parabolic Matrix(1387,-1716,586,-725) (21/17,5/4) -> (71/30,45/19) Hyperbolic Matrix(263,-330,106,-133) (5/4,29/23) -> (37/15,5/2) Hyperbolic Matrix(991,-1254,260,-329) (24/19,19/15) -> (19/5,42/11) Hyperbolic Matrix(1915,-2442,258,-329) (51/40,37/29) -> (37/5,15/2) Hyperbolic Matrix(1189,-1518,206,-263) (37/29,23/18) -> (23/4,29/5) Hyperbolic Matrix(2837,-3630,1084,-1387) (23/18,32/25) -> (34/13,89/34) Hyperbolic Matrix(461,-594,52,-67) (9/7,40/31) -> (26/3,9/1) Hyperbolic Matrix(1585,-2046,306,-395) (40/31,31/24) -> (31/6,26/5) Hyperbolic Matrix(661,-858,406,-527) (22/17,13/10) -> (13/8,44/27) Hyperbolic Matrix(857,-1122,152,-199) (17/13,21/16) -> (45/8,17/3) Hyperbolic Matrix(1123,-1518,634,-857) (4/3,23/17) -> (23/13,62/35) Hyperbolic Matrix(925,-1254,194,-263) (23/17,19/14) -> (19/4,43/9) Hyperbolic Matrix(3299,-4488,874,-1189) (34/25,49/36) -> (83/22,34/9) Hyperbolic Matrix(8119,-11088,2174,-2969) (71/52,56/41) -> (56/15,127/34) Hyperbolic Matrix(529,-726,384,-527) (26/19,11/8) -> (11/8,40/29) Parabolic Matrix(1387,-1914,908,-1253) (40/29,69/50) -> (3/2,26/17) Hyperbolic Matrix(9899,-13662,2870,-3961) (69/50,98/71) -> (100/29,69/20) Hyperbolic Matrix(2245,-3102,668,-923) (29/21,47/34) -> (47/14,37/11) Hyperbolic Matrix(857,-1188,334,-463) (18/13,25/18) -> (41/16,18/7) Hyperbolic Matrix(2111,-2970,376,-529) (7/5,38/27) -> (28/5,73/13) Hyperbolic Matrix(1453,-2046,468,-659) (38/27,69/49) -> (3/1,28/9) Hyperbolic Matrix(9373,-13200,2530,-3563) (69/49,31/22) -> (163/44,63/17) Hyperbolic Matrix(1451,-2046,656,-925) (31/22,24/17) -> (42/19,31/14) Hyperbolic Matrix(2243,-3168,468,-661) (24/17,65/46) -> (67/14,24/5) Hyperbolic Matrix(791,-1122,466,-661) (17/12,27/19) -> (39/23,17/10) Hyperbolic Matrix(2179,-3102,602,-857) (37/26,10/7) -> (76/21,29/8) Hyperbolic Matrix(593,-858,320,-463) (13/9,29/20) -> (37/20,13/7) Hyperbolic Matrix(857,-1254,136,-199) (19/13,22/15) -> (44/7,19/3) Hyperbolic Matrix(1387,-2046,402,-593) (25/17,3/2) -> (69/20,107/31) Hyperbolic Matrix(859,-1320,300,-461) (23/15,20/13) -> (20/7,43/15) Hyperbolic Matrix(3233,-5016,2000,-3103) (31/20,45/29) -> (21/13,97/60) Hyperbolic Matrix(1189,-1848,424,-659) (59/38,14/9) -> (14/5,73/26) Hyperbolic Matrix(11683,-18216,4190,-6533) (53/34,92/59) -> (92/33,145/52) Hyperbolic Matrix(463,-726,294,-461) (25/16,11/7) -> (11/7,41/26) Parabolic Matrix(3763,-5940,1630,-2573) (101/64,30/19) -> (30/13,97/42) Hyperbolic Matrix(5147,-8184,1910,-3037) (62/39,35/22) -> (97/36,62/23) Hyperbolic Matrix(1783,-2838,1036,-1649) (35/22,8/5) -> (74/43,31/18) Hyperbolic Matrix(329,-528,124,-199) (8/5,29/18) -> (37/14,8/3) Hyperbolic Matrix(2243,-3630,490,-793) (55/34,34/21) -> (32/7,55/12) Hyperbolic Matrix(725,-1188,202,-331) (18/11,23/14) -> (43/12,18/5) Hyperbolic Matrix(197,-330,40,-67) (5/3,32/19) -> (34/7,5/1) Hyperbolic Matrix(1583,-2706,850,-1453) (41/24,53/31) -> (13/7,41/22) Hyperbolic Matrix(4883,-8448,1908,-3301) (64/37,45/26) -> (87/34,64/25) Hyperbolic Matrix(991,-1716,190,-329) (45/26,26/15) -> (26/5,21/4) Hyperbolic Matrix(3629,-6402,1310,-2311) (67/38,30/17) -> (36/13,133/48) Hyperbolic Matrix(593,-1056,260,-463) (16/9,25/14) -> (41/18,16/7) Hyperbolic Matrix(2773,-5016,1240,-2243) (47/26,38/21) -> (38/17,85/38) Hyperbolic Matrix(1121,-2046,326,-595) (31/17,11/6) -> (55/16,31/9) Hyperbolic Matrix(859,-1584,250,-461) (11/6,24/13) -> (24/7,55/16) Hyperbolic Matrix(991,-1848,318,-593) (41/22,28/15) -> (28/9,25/8) Hyperbolic Matrix(1253,-2706,520,-1123) (28/13,13/6) -> (53/22,94/39) Hyperbolic Matrix(395,-858,122,-265) (13/6,24/11) -> (42/13,13/4) Hyperbolic Matrix(331,-726,150,-329) (24/11,11/5) -> (11/5,42/19) Parabolic Matrix(661,-1518,172,-395) (39/17,23/10) -> (23/6,27/7) Hyperbolic Matrix(15773,-36432,4258,-9835) (97/42,67/29) -> (263/71,163/44) Hyperbolic Matrix(199,-462,28,-65) (37/16,7/3) -> (7/1,29/4) Hyperbolic Matrix(1981,-4686,446,-1055) (26/11,71/30) -> (71/16,40/9) Hyperbolic Matrix(4289,-10164,1198,-2839) (45/19,64/27) -> (68/19,111/31) Hyperbolic Matrix(1189,-2838,442,-1055) (31/13,43/18) -> (43/16,35/13) Hyperbolic Matrix(4819,-11616,1396,-3365) (94/39,41/17) -> (107/31,38/11) Hyperbolic Matrix(461,-1122,136,-331) (17/7,22/9) -> (44/13,17/5) Hyperbolic Matrix(331,-858,76,-197) (31/12,13/5) -> (13/3,35/8) Hyperbolic Matrix(529,-1386,50,-131) (55/21,76/29) -> (10/1,11/1) Hyperbolic Matrix(1913,-5016,680,-1783) (76/29,21/8) -> (45/16,76/27) Hyperbolic Matrix(659,-1782,98,-265) (27/10,46/17) -> (20/3,27/4) Hyperbolic Matrix(265,-726,96,-263) (30/11,11/4) -> (11/4,36/13) Parabolic Matrix(6073,-16830,1762,-4883) (133/48,97/35) -> (31/9,131/38) Hyperbolic Matrix(527,-1518,92,-265) (23/8,3/1) -> (63/11,23/4) Hyperbolic Matrix(197,-660,20,-67) (10/3,47/14) -> (19/2,10/1) Hyperbolic Matrix(1253,-4290,328,-1123) (65/19,24/7) -> (42/11,65/17) Hyperbolic Matrix(725,-2508,172,-595) (38/11,7/2) -> (59/14,38/9) Hyperbolic Matrix(199,-726,54,-197) (29/8,11/3) -> (11/3,37/10) Parabolic Matrix(1121,-4158,196,-727) (63/17,26/7) -> (40/7,63/11) Hyperbolic Matrix(593,-2640,104,-463) (40/9,9/2) -> (57/10,40/7) Hyperbolic Matrix(133,-726,24,-131) (27/5,11/2) -> (11/2,39/7) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(131,1386,-50,-529) -> Matrix(3,-2,8,-5) Matrix(199,1914,-144,-1385) -> Matrix(1,0,-4,1) Matrix(131,1122,-108,-925) -> Matrix(1,-2,0,1) Matrix(133,1122,94,793) -> Matrix(1,2,4,9) Matrix(265,2046,154,1189) -> Matrix(5,-2,28,-11) Matrix(199,1518,78,595) -> Matrix(13,-6,24,-11) Matrix(329,2442,-258,-1915) -> Matrix(1,0,-4,1) Matrix(65,462,-28,-199) -> Matrix(7,-2,4,-1) Matrix(265,1782,-98,-659) -> Matrix(9,-4,16,-7) Matrix(199,1320,30,199) -> Matrix(25,-12,48,-23) Matrix(131,858,20,131) -> Matrix(15,-8,32,-17) Matrix(133,858,82,529) -> Matrix(13,-8,44,-27) Matrix(199,1254,-136,-857) -> Matrix(5,-4,4,-3) Matrix(593,3696,434,2705) -> Matrix(5,-4,4,-3) Matrix(397,2442,86,529) -> Matrix(5,-8,12,-19) Matrix(263,1518,-206,-1189) -> Matrix(1,0,-4,1) Matrix(265,1518,-92,-527) -> Matrix(5,-2,8,-3) Matrix(197,1122,-174,-991) -> Matrix(1,-2,0,1) Matrix(199,1122,-152,-857) -> Matrix(1,-2,0,1) Matrix(131,726,-24,-133) -> Matrix(1,0,8,1) Matrix(925,5016,414,2245) -> Matrix(1,0,-4,1) Matrix(1451,7854,390,2111) -> Matrix(25,-4,44,-7) Matrix(197,1056,86,461) -> Matrix(1,0,0,1) Matrix(263,1386,100,527) -> Matrix(1,0,-4,1) Matrix(329,1716,-190,-991) -> Matrix(17,-4,-4,1) Matrix(67,330,-40,-197) -> Matrix(5,-2,8,-3) Matrix(329,1584,178,857) -> Matrix(33,-14,92,-39) Matrix(263,1254,-194,-925) -> Matrix(13,-6,24,-11) Matrix(265,1254,56,265) -> Matrix(33,-16,64,-31) Matrix(197,924,42,197) -> Matrix(23,-12,48,-25) Matrix(397,1848,142,661) -> Matrix(11,-6,24,-13) Matrix(2575,11946,1494,6931) -> Matrix(17,-10,80,-47) Matrix(527,2442,-456,-2113) -> Matrix(7,-4,16,-9) Matrix(329,1518,-272,-1255) -> Matrix(13,-8,-8,5) Matrix(793,3630,-490,-2243) -> Matrix(5,-4,4,-3) Matrix(131,594,58,263) -> Matrix(3,-2,8,-5) Matrix(133,594,-118,-527) -> Matrix(3,-2,-4,3) Matrix(461,2046,-372,-1651) -> Matrix(5,-4,4,-3) Matrix(463,2046,284,1255) -> Matrix(3,-2,8,-5) Matrix(197,858,-76,-331) -> Matrix(1,-2,4,-7) Matrix(199,858,138,595) -> Matrix(1,-6,4,-23) Matrix(463,1980,170,727) -> Matrix(1,0,4,1) Matrix(265,1122,-218,-923) -> Matrix(1,-2,0,1) Matrix(1451,6072,536,2243) -> Matrix(1,0,4,1) Matrix(1123,4686,712,2971) -> Matrix(31,8,120,31) Matrix(461,1914,270,1121) -> Matrix(1,0,12,1) Matrix(395,1518,-172,-661) -> Matrix(11,-4,-8,3) Matrix(329,1254,-260,-991) -> Matrix(5,-2,28,-11) Matrix(593,2244,366,1385) -> Matrix(11,-4,36,-13) Matrix(1189,4488,-874,-3299) -> Matrix(5,-2,8,-3) Matrix(263,990,140,527) -> Matrix(5,-2,8,-3) Matrix(1253,4686,688,2573) -> Matrix(51,-22,160,-69) Matrix(2969,11088,-2174,-8119) -> Matrix(23,-10,76,-33) Matrix(3431,12804,2122,7919) -> Matrix(23,-10,76,-33) Matrix(991,3696,832,3103) -> Matrix(9,-4,52,-23) Matrix(1453,5412,1028,3829) -> Matrix(31,-14,144,-65) Matrix(2377,8844,426,1585) -> Matrix(9,-4,52,-23) Matrix(2573,9570,1650,6137) -> Matrix(41,-18,180,-79) Matrix(197,726,-54,-199) -> Matrix(25,-12,48,-23) Matrix(527,1914,-182,-661) -> Matrix(7,-4,16,-9) Matrix(3763,13662,-2672,-9701) -> Matrix(37,-20,-24,13) Matrix(1055,3828,218,791) -> Matrix(7,-4,16,-9) Matrix(857,3102,-602,-2179) -> Matrix(57,-32,-16,9) Matrix(1187,4290,438,1583) -> Matrix(7,-4,16,-9) Matrix(659,2376,256,923) -> Matrix(3,-2,8,-5) Matrix(331,1188,-202,-725) -> Matrix(17,-10,12,-7) Matrix(463,1650,204,727) -> Matrix(3,-2,8,-5) Matrix(595,2112,242,859) -> Matrix(7,-4,16,-9) Matrix(857,3036,540,1913) -> Matrix(29,-18,108,-67) Matrix(859,2970,-706,-2441) -> Matrix(1,-4,0,1) Matrix(593,2046,-402,-1387) -> Matrix(1,0,0,1) Matrix(3827,13200,-2794,-9637) -> Matrix(1,0,4,1) Matrix(595,2046,-326,-1121) -> Matrix(9,-8,8,-7) Matrix(925,3168,-732,-2507) -> Matrix(1,-2,4,-7) Matrix(1583,5412,1158,3959) -> Matrix(1,-2,0,1) Matrix(2377,8118,696,2377) -> Matrix(1,-8,4,-31) Matrix(3365,11484,986,3365) -> Matrix(1,8,4,33) Matrix(329,1122,290,989) -> Matrix(1,2,4,9) Matrix(331,1122,-136,-461) -> Matrix(3,2,4,3) Matrix(1253,4224,450,1517) -> Matrix(3,-2,8,-5) Matrix(6271,21120,1862,6271) -> Matrix(1,-2,4,-7) Matrix(9899,33330,2940,9899) -> Matrix(1,2,4,9) Matrix(1255,4224,216,727) -> Matrix(1,0,4,1) Matrix(923,3102,-668,-2245) -> Matrix(1,0,-4,1) Matrix(199,660,60,199) -> Matrix(1,0,4,1) Matrix(461,1518,140,461) -> Matrix(1,0,-8,1) Matrix(463,1518,262,859) -> Matrix(9,-2,32,-7) Matrix(263,858,202,659) -> Matrix(7,-2,32,-9) Matrix(265,858,-122,-395) -> Matrix(5,-2,8,-3) Matrix(595,1914,226,727) -> Matrix(1,0,-4,1) Matrix(395,1254,166,527) -> Matrix(13,-4,36,-11) Matrix(397,1254,-334,-1055) -> Matrix(1,0,-4,1) Matrix(527,1650,84,263) -> Matrix(1,0,0,1) Matrix(659,2046,-468,-1453) -> Matrix(11,-4,-8,3) Matrix(461,1320,-300,-859) -> Matrix(3,-2,-4,3) Matrix(395,1122,232,659) -> Matrix(3,-2,8,-5) Matrix(725,2046,444,1253) -> Matrix(3,-2,8,-5) Matrix(1783,5016,-680,-1913) -> Matrix(3,-2,8,-5) Matrix(2113,5940,376,1057) -> Matrix(5,-4,24,-19) Matrix(659,1848,-424,-1189) -> Matrix(1,-2,0,1) Matrix(661,1848,142,397) -> Matrix(11,-6,24,-13) Matrix(2507,6996,1466,4091) -> Matrix(3,-2,20,-13) Matrix(6533,18216,-4190,-11683) -> Matrix(35,-24,-16,11) Matrix(3433,9570,2510,6997) -> Matrix(3,-2,-4,3) Matrix(1517,4224,450,1253) -> Matrix(3,-2,8,-5) Matrix(1187,3300,332,923) -> Matrix(7,-4,16,-9) Matrix(263,726,-96,-265) -> Matrix(5,-4,4,-3) Matrix(1715,4686,1304,3563) -> Matrix(1,4,4,17) Matrix(3431,9372,1546,4223) -> Matrix(1,0,0,1) Matrix(3433,9372,774,2113) -> Matrix(3,-2,8,-5) Matrix(2177,5940,-1234,-3367) -> Matrix(1,0,0,1) Matrix(727,1980,170,463) -> Matrix(1,0,4,1) Matrix(461,1254,218,593) -> Matrix(3,-2,8,-5) Matrix(923,2508,534,1451) -> Matrix(1,2,4,9) Matrix(1583,4290,438,1187) -> Matrix(7,-4,16,-9) Matrix(6995,18942,1462,3959) -> Matrix(9,-4,16,-7) Matrix(13529,36630,3778,10229) -> Matrix(3,-2,8,-5) Matrix(2243,6072,536,1451) -> Matrix(1,0,4,1) Matrix(1123,3036,806,2179) -> Matrix(3,-2,20,-13) Matrix(1517,4092,856,2309) -> Matrix(3,-2,8,-5) Matrix(3037,8184,-1910,-5147) -> Matrix(49,-46,16,-15) Matrix(1055,2838,-442,-1189) -> Matrix(7,-8,8,-9) Matrix(199,528,-124,-329) -> Matrix(1,2,0,1) Matrix(727,1914,226,595) -> Matrix(1,0,-4,1) Matrix(527,1386,100,263) -> Matrix(1,0,-4,1) Matrix(4885,12804,3576,9373) -> Matrix(5,-2,8,-3) Matrix(4157,10890,1738,4553) -> Matrix(33,-14,92,-39) Matrix(1387,3630,-1084,-2837) -> Matrix(1,0,-4,1) Matrix(859,2244,632,1651) -> Matrix(1,0,0,1) Matrix(329,858,278,725) -> Matrix(1,0,4,1) Matrix(791,2046,612,1583) -> Matrix(17,-6,88,-31) Matrix(793,2046,512,1321) -> Matrix(5,-2,28,-11) Matrix(6271,16170,2432,6271) -> Matrix(31,-12,44,-17) Matrix(14849,38280,5760,14849) -> Matrix(49,-20,76,-31) Matrix(7195,18546,4174,10759) -> Matrix(19,-8,88,-37) Matrix(923,2376,256,659) -> Matrix(3,-2,8,-5) Matrix(463,1188,-334,-857) -> Matrix(5,-2,-12,5) Matrix(595,1518,78,199) -> Matrix(13,-6,24,-11) Matrix(725,1848,388,989) -> Matrix(13,-6,24,-11) Matrix(727,1848,286,727) -> Matrix(45,-22,88,-43) Matrix(131,330,52,131) -> Matrix(11,-6,24,-13) Matrix(133,330,-106,-263) -> Matrix(3,-2,8,-5) Matrix(859,2112,242,595) -> Matrix(7,-4,16,-9) Matrix(593,1452,350,857) -> Matrix(3,-2,20,-13) Matrix(595,1452,352,859) -> Matrix(3,-2,-4,3) Matrix(463,1122,300,727) -> Matrix(3,-2,8,-5) Matrix(791,1914,436,1055) -> Matrix(39,-28,124,-89) Matrix(2377,5742,984,2377) -> Matrix(113,-84,300,-223) Matrix(5741,13860,2378,5741) -> Matrix(271,-204,724,-545) Matrix(793,1914,602,1453) -> Matrix(37,-28,152,-115) Matrix(1123,2706,-520,-1253) -> Matrix(23,-18,32,-25) Matrix(2905,6996,1864,4489) -> Matrix(13,-10,56,-43) Matrix(659,1584,384,923) -> Matrix(5,-4,24,-19) Matrix(661,1584,386,925) -> Matrix(5,-4,24,-19) Matrix(331,792,28,67) -> Matrix(5,-4,4,-3) Matrix(3037,7260,1160,2773) -> Matrix(7,-6,20,-17) Matrix(857,2046,746,1781) -> Matrix(7,-6,20,-17) Matrix(1717,4092,942,2245) -> Matrix(5,-6,16,-19) Matrix(5015,11946,3934,9371) -> Matrix(3,-2,20,-13) Matrix(7787,18546,4766,11351) -> Matrix(11,-8,40,-29) Matrix(527,1254,166,395) -> Matrix(5,-4,4,-3) Matrix(1057,2508,668,1585) -> Matrix(39,-34,148,-129) Matrix(3565,8448,-2172,-5147) -> Matrix(13,-12,12,-11) Matrix(725,1716,-586,-1387) -> Matrix(13,-12,12,-11) Matrix(727,1716,308,727) -> Matrix(31,-30,92,-89) Matrix(197,462,84,197) -> Matrix(5,-6,16,-19) Matrix(2111,4884,456,1055) -> Matrix(7,-18,16,-41) Matrix(1913,4422,1056,2441) -> Matrix(5,-6,16,-19) Matrix(2773,6402,-1772,-4091) -> Matrix(1,-8,0,1) Matrix(659,1518,458,1055) -> Matrix(1,-10,4,-39) Matrix(1783,4092,1122,2575) -> Matrix(13,10,48,37) Matrix(461,1056,86,197) -> Matrix(1,0,0,1) Matrix(463,1056,-260,-593) -> Matrix(1,2,0,1) Matrix(727,1650,204,463) -> Matrix(3,-2,8,-5) Matrix(263,594,58,131) -> Matrix(3,-2,8,-5) Matrix(2771,6204,766,1715) -> Matrix(9,4,20,9) Matrix(2243,5016,-1240,-2773) -> Matrix(21,-4,16,-3) Matrix(1979,4422,354,791) -> Matrix(1,0,4,1) Matrix(1981,4422,1124,2509) -> Matrix(1,-2,4,-7) Matrix(859,1914,504,1123) -> Matrix(1,0,0,1) Matrix(3301,7326,1190,2641) -> Matrix(13,-4,36,-11) Matrix(2113,4686,1548,3433) -> Matrix(5,-2,8,-3) Matrix(1847,4092,1072,2375) -> Matrix(7,-2,32,-9) Matrix(925,2046,-656,-1451) -> Matrix(11,-4,-8,3) Matrix(725,1584,-514,-1123) -> Matrix(13,-8,-8,5) Matrix(727,1584,576,1255) -> Matrix(3,-2,8,-5) Matrix(857,1848,-582,-1255) -> Matrix(5,-4,4,-3) Matrix(859,1848,522,1123) -> Matrix(5,-6,16,-19) Matrix(463,990,340,727) -> Matrix(3,-2,8,-5) Matrix(593,1254,218,461) -> Matrix(3,-2,8,-5) Matrix(661,1254,418,793) -> Matrix(1,-6,4,-23) Matrix(527,990,140,263) -> Matrix(5,-2,8,-3) Matrix(989,1848,388,725) -> Matrix(13,-6,24,-11) Matrix(1453,2706,-850,-1583) -> Matrix(3,-2,-4,3) Matrix(463,858,-320,-593) -> Matrix(13,-10,4,-3) Matrix(395,726,-216,-397) -> Matrix(17,-16,16,-15) Matrix(2245,4092,942,1717) -> Matrix(5,-6,16,-19) Matrix(2573,4686,688,1253) -> Matrix(19,-22,32,-37) Matrix(5149,9372,3264,5941) -> Matrix(57,-64,220,-247) Matrix(1055,1914,436,791) -> Matrix(23,-28,60,-73) Matrix(2441,4422,1056,1913) -> Matrix(5,-6,16,-19) Matrix(2771,5016,2260,4091) -> Matrix(13,-16,48,-59) Matrix(9635,17424,4306,7787) -> Matrix(3,-4,52,-69) Matrix(9637,17424,4308,7789) -> Matrix(3,-4,-32,43) Matrix(329,594,36,65) -> Matrix(3,-4,4,-5) Matrix(331,594,258,463) -> Matrix(1,-2,8,-15) Matrix(923,1650,664,1187) -> Matrix(1,-2,8,-15) Matrix(2441,4356,1072,1913) -> Matrix(1,-2,12,-23) Matrix(2443,4356,1074,1915) -> Matrix(1,-2,-4,9) Matrix(595,1056,484,859) -> Matrix(1,-4,4,-15) Matrix(857,1518,-634,-1123) -> Matrix(3,-4,4,-5) Matrix(859,1518,262,463) -> Matrix(1,-2,0,1) Matrix(20659,36432,-15082,-26597) -> Matrix(3,-4,16,-21) Matrix(2509,4422,1124,1981) -> Matrix(1,-2,4,-7) Matrix(263,462,-226,-397) -> Matrix(1,-2,0,1) Matrix(265,462,152,265) -> Matrix(1,-6,4,-23) Matrix(989,1716,570,989) -> Matrix(1,14,4,57) Matrix(2705,4686,-2096,-3631) -> Matrix(3,16,-4,-21) Matrix(5875,10164,-4234,-7325) -> Matrix(3,10,-4,-13) Matrix(1451,2508,534,923) -> Matrix(1,2,4,9) Matrix(727,1254,498,859) -> Matrix(1,0,4,1) Matrix(10759,18546,4174,7195) -> Matrix(5,8,8,13) Matrix(6931,11946,1494,2575) -> Matrix(7,10,16,23) Matrix(2375,4092,1072,1847) -> Matrix(1,2,0,1) Matrix(1649,2838,-1036,-1783) -> Matrix(11,8,4,3) Matrix(2111,3630,460,791) -> Matrix(5,2,12,5) Matrix(6337,10890,3918,6733) -> Matrix(1,-2,4,-7) Matrix(923,1584,384,659) -> Matrix(3,4,8,11) Matrix(925,1584,386,661) -> Matrix(3,4,8,11) Matrix(4091,6996,1466,2507) -> Matrix(5,2,12,5) Matrix(6797,11616,-4828,-8251) -> Matrix(7,2,-4,-1) Matrix(1121,1914,270,461) -> Matrix(1,0,12,1) Matrix(8119,13860,4756,8119) -> Matrix(1,0,28,1) Matrix(3365,5742,1972,3365) -> Matrix(1,0,-4,1) Matrix(1123,1914,504,859) -> Matrix(1,0,0,1) Matrix(659,1122,232,395) -> Matrix(3,-2,8,-5) Matrix(661,1122,-466,-791) -> Matrix(1,-2,0,1) Matrix(1055,1782,312,527) -> Matrix(1,0,0,1) Matrix(1253,2112,900,1517) -> Matrix(1,0,4,1) Matrix(2903,4884,784,1319) -> Matrix(13,-6,24,-11) Matrix(199,330,120,199) -> Matrix(3,-2,8,-5) Matrix(1121,1848,680,1121) -> Matrix(21,-22,64,-67) Matrix(1123,1848,522,859) -> Matrix(5,-6,16,-19) Matrix(923,1518,802,1319) -> Matrix(5,-6,16,-19) Matrix(2773,4554,724,1189) -> Matrix(17,-22,24,-31) Matrix(16765,27522,6192,10165) -> Matrix(3,-4,4,-5) Matrix(2575,4224,926,1519) -> Matrix(1,-2,4,-7) Matrix(1453,2376,1050,1717) -> Matrix(1,-2,8,-15) Matrix(11351,18546,4766,7787) -> Matrix(3,-8,8,-21) Matrix(23431,38280,14342,23431) -> Matrix(1,-8,4,-31) Matrix(9899,16170,6060,9899) -> Matrix(1,0,4,1) Matrix(1253,2046,444,725) -> Matrix(3,-2,8,-5) Matrix(527,858,-406,-661) -> Matrix(5,-6,-4,5) Matrix(529,858,82,133) -> Matrix(5,-8,12,-19) Matrix(1385,2244,366,593) -> Matrix(3,-4,4,-5) Matrix(4487,7260,2610,4223) -> Matrix(1,-2,8,-15) Matrix(857,1386,-776,-1255) -> Matrix(1,-2,0,1) Matrix(3103,5016,-2000,-3233) -> Matrix(1,-2,0,1) Matrix(859,1386,696,1123) -> Matrix(7,-12,24,-41) Matrix(1187,1914,818,1319) -> Matrix(7,-12,24,-41) Matrix(2705,4356,1024,1649) -> Matrix(1,-2,20,-39) Matrix(2707,4356,1026,1651) -> Matrix(1,-2,-12,25) Matrix(331,528,42,67) -> Matrix(1,-2,0,1) Matrix(10955,17424,4066,6467) -> Matrix(31,-92,92,-273) Matrix(10957,17424,4068,6469) -> Matrix(29,-88,88,-267) Matrix(1121,1782,290,461) -> Matrix(7,-22,8,-25) Matrix(1123,1782,-956,-1517) -> Matrix(1,-4,4,-15) Matrix(3829,6072,2914,4621) -> Matrix(1,0,4,1) Matrix(17357,27522,6784,10757) -> Matrix(7,-24,12,-41) Matrix(10823,17160,2830,4487) -> Matrix(3,-10,4,-13) Matrix(2707,4290,1958,3103) -> Matrix(1,-4,8,-31) Matrix(1585,2508,668,1057) -> Matrix(7,-34,20,-97) Matrix(793,1254,418,661) -> Matrix(1,-6,4,-23) Matrix(1253,1980,960,1517) -> Matrix(1,-4,4,-15) Matrix(461,726,-294,-463) -> Matrix(1,-12,0,1) Matrix(10757,16830,-7636,-11947) -> Matrix(1,4,0,1) Matrix(1519,2376,296,463) -> Matrix(1,6,0,1) Matrix(4685,7326,2574,4025) -> Matrix(9,44,28,137) Matrix(2111,3300,506,791) -> Matrix(1,4,8,33) Matrix(2705,4224,1056,1649) -> Matrix(5,18,8,29) Matrix(2707,4224,1904,2971) -> Matrix(11,30,48,131) Matrix(6137,9570,1650,2573) -> Matrix(7,18,12,31) Matrix(25145,39204,9016,14057) -> Matrix(21,44,52,109) Matrix(25147,39204,9018,14059) -> Matrix(19,36,48,91) Matrix(4489,6996,1864,2905) -> Matrix(3,10,8,27) Matrix(1187,1848,932,1451) -> Matrix(1,2,8,17) Matrix(11219,17424,3994,6203) -> Matrix(19,20,56,59) Matrix(11221,17424,3996,6205) -> Matrix(17,16,52,49) Matrix(2509,3894,596,925) -> Matrix(3,2,16,11) Matrix(5873,9108,1574,2441) -> Matrix(7,4,12,7) Matrix(1321,2046,512,793) -> Matrix(3,2,4,3) Matrix(727,1122,300,463) -> Matrix(3,-2,8,-5) Matrix(2837,4356,988,1517) -> Matrix(13,2,32,5) Matrix(2839,4356,990,1519) -> Matrix(11,-2,28,-5) Matrix(991,1518,-818,-1253) -> Matrix(1,-2,0,1) Matrix(989,1452,314,461) -> Matrix(1,0,0,1) Matrix(991,1452,316,463) -> Matrix(3,-4,4,-5) Matrix(859,1254,498,727) -> Matrix(1,0,4,1) Matrix(1319,1914,818,1187) -> Matrix(7,-12,24,-41) Matrix(1321,1914,274,397) -> Matrix(5,-12,8,-19) Matrix(595,858,138,199) -> Matrix(1,-6,4,-23) Matrix(1055,1518,458,659) -> Matrix(1,-10,4,-39) Matrix(1057,1518,736,1057) -> Matrix(1,-28,4,-111) Matrix(461,660,322,461) -> Matrix(1,12,4,49) Matrix(463,660,-416,-593) -> Matrix(1,4,0,1) Matrix(5149,7326,1114,1585) -> Matrix(19,60,44,139) Matrix(23431,33330,16472,23431) -> Matrix(109,330,472,1429) Matrix(14849,21120,10440,14849) -> Matrix(71,210,308,911) Matrix(2971,4224,1904,2707) -> Matrix(11,30,48,131) Matrix(1255,1782,512,727) -> Matrix(5,12,12,29) Matrix(793,1122,94,133) -> Matrix(1,2,4,9) Matrix(8119,11484,5740,8119) -> Matrix(17,36,76,161) Matrix(5741,8118,4060,5741) -> Matrix(15,28,68,127) Matrix(3829,5412,1028,1453) -> Matrix(9,14,16,25) Matrix(3037,4290,-2242,-3167) -> Matrix(5,8,8,13) Matrix(76891,108306,20758,29239) -> Matrix(11,28,20,51) Matrix(42173,59400,11386,16037) -> Matrix(13,20,24,37) Matrix(1783,2508,-1360,-1913) -> Matrix(11,14,-4,-5) Matrix(331,462,48,67) -> Matrix(3,2,4,3) Matrix(1517,2112,900,1253) -> Matrix(1,0,4,1) Matrix(1187,1650,664,923) -> Matrix(7,2,24,7) Matrix(2377,3300,1522,2113) -> Matrix(1,4,4,17) Matrix(26401,36630,16650,23101) -> Matrix(13,10,48,37) Matrix(8183,11352,1712,2375) -> Matrix(11,6,20,11) Matrix(1717,2376,1050,1453) -> Matrix(7,2,24,7) Matrix(3103,4290,1958,2707) -> Matrix(15,4,56,15) Matrix(4489,6204,2484,3433) -> Matrix(5,4,16,13) Matrix(527,726,-384,-529) -> Matrix(1,0,8,1) Matrix(3565,4884,1446,1981) -> Matrix(11,-2,28,-5) Matrix(43363,59400,12576,17227) -> Matrix(1,0,-4,1) Matrix(79067,108306,22934,31415) -> Matrix(23,-4,52,-9) Matrix(3037,4158,-2506,-3431) -> Matrix(9,-2,-4,1) Matrix(6997,9570,2510,3433) -> Matrix(11,-2,28,-5) Matrix(5743,7854,4682,6403) -> Matrix(17,-4,64,-15) Matrix(3959,5412,1158,1583) -> Matrix(9,-2,32,-7) Matrix(2705,3696,434,593) -> Matrix(13,-4,36,-11) Matrix(6667,9108,2368,3235) -> Matrix(1,0,0,1) Matrix(28709,39204,7684,10493) -> Matrix(99,-32,164,-53) Matrix(28711,39204,7686,10495) -> Matrix(117,-40,196,-67) Matrix(3433,4686,1548,2113) -> Matrix(5,-2,8,-3) Matrix(727,990,340,463) -> Matrix(3,-2,8,-5) Matrix(12803,17424,3394,4619) -> Matrix(3,2,4,3) Matrix(12805,17424,3396,4621) -> Matrix(13,-2,20,-3) Matrix(1651,2244,632,859) -> Matrix(1,0,0,1) Matrix(12673,17160,4680,6337) -> Matrix(3,-2,8,-5) Matrix(3365,4554,1316,1781) -> Matrix(5,-2,8,-3) Matrix(1321,1782,490,661) -> Matrix(7,-6,20,-17) Matrix(1453,1914,602,793) -> Matrix(3,28,8,75) Matrix(2509,3300,904,1189) -> Matrix(3,16,8,43) Matrix(4621,6072,2914,3829) -> Matrix(1,0,4,1) Matrix(2969,3894,1056,1385) -> Matrix(3,10,8,27) Matrix(1517,1980,960,1253) -> Matrix(1,-4,4,-15) Matrix(659,858,202,263) -> Matrix(1,2,0,1) Matrix(1121,1452,254,329) -> Matrix(7,8,20,23) Matrix(1123,1452,256,331) -> Matrix(9,8,28,25) Matrix(7259,9372,4600,5939) -> Matrix(29,22,112,85) Matrix(2047,2640,-1688,-2177) -> Matrix(5,4,-4,-3) Matrix(463,594,258,331) -> Matrix(7,2,24,7) Matrix(2839,3630,1188,1519) -> Matrix(17,6,48,17) Matrix(1913,2442,1602,2045) -> Matrix(1,0,8,1) Matrix(5741,7326,1706,2177) -> Matrix(1,0,8,1) Matrix(3829,4884,2174,2773) -> Matrix(7,2,24,7) Matrix(9371,11946,3934,5015) -> Matrix(5,2,12,5) Matrix(1451,1848,932,1187) -> Matrix(9,2,40,9) Matrix(727,924,572,727) -> Matrix(1,0,16,1) Matrix(989,1254,780,989) -> Matrix(1,0,-12,1) Matrix(8977,11352,2506,3169) -> Matrix(3,-2,8,-5) Matrix(14983,18942,9450,11947) -> Matrix(17,-4,64,-15) Matrix(1517,1914,470,593) -> Matrix(1,0,0,1) Matrix(3037,3828,2200,2773) -> Matrix(1,0,4,1) Matrix(1913,2376,690,857) -> Matrix(3,-2,8,-5) Matrix(1123,1386,696,859) -> Matrix(7,-12,24,-41) Matrix(859,1056,484,595) -> Matrix(1,-4,4,-15) Matrix(593,726,-486,-595) -> Matrix(1,-8,0,1) Matrix(7259,8844,5308,6467) -> Matrix(1,4,0,1) Matrix(3631,4422,2006,2443) -> Matrix(5,24,16,77) Matrix(4883,5940,3146,3827) -> Matrix(3,8,16,43) Matrix(3497,4224,2458,2969) -> Matrix(25,28,108,121) Matrix(329,396,54,65) -> Matrix(1,0,4,1) Matrix(331,396,56,67) -> Matrix(1,0,4,1) Matrix(3103,3696,832,991) -> Matrix(7,4,12,7) Matrix(1387,1650,944,1123) -> Matrix(1,0,4,1) Matrix(725,858,278,329) -> Matrix(1,0,4,1) Matrix(727,858,616,727) -> Matrix(1,0,12,1) Matrix(1121,1320,952,1121) -> Matrix(1,0,-8,1) Matrix(395,462,112,131) -> Matrix(3,-2,8,-5) Matrix(1253,1452,170,197) -> Matrix(1,0,4,1) Matrix(1255,1452,172,199) -> Matrix(1,0,-4,1) Matrix(1319,1518,802,923) -> Matrix(5,-6,16,-19) Matrix(461,528,172,197) -> Matrix(1,-2,4,-7) Matrix(989,1122,290,329) -> Matrix(1,2,4,9) Matrix(529,594,236,265) -> Matrix(1,0,4,1) Matrix(725,792,422,461) -> Matrix(1,0,4,1) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(1255,-1386,776,-857) -> Matrix(9,-2,32,-7) Matrix(1715,-1914,474,-529) -> Matrix(7,-4,16,-9) Matrix(991,-1122,174,-197) -> Matrix(9,-2,32,-7) Matrix(2113,-2442,456,-527) -> Matrix(7,-4,16,-9) Matrix(397,-462,226,-263) -> Matrix(9,-2,32,-7) Matrix(1517,-1782,956,-1123) -> Matrix(1,-4,4,-15) Matrix(1055,-1254,334,-397) -> Matrix(1,0,-4,1) Matrix(1255,-1518,272,-329) -> Matrix(37,-8,88,-19) Matrix(1253,-1518,818,-991) -> Matrix(9,-2,32,-7) Matrix(925,-1122,108,-131) -> Matrix(9,-2,32,-7) Matrix(923,-1122,218,-265) -> Matrix(9,-2,32,-7) Matrix(595,-726,486,-593) -> Matrix(33,-8,128,-31) Matrix(1387,-1716,586,-725) -> Matrix(37,-12,108,-35) Matrix(263,-330,106,-133) -> Matrix(3,-2,8,-5) Matrix(991,-1254,260,-329) -> Matrix(3,2,4,3) Matrix(1915,-2442,258,-329) -> Matrix(1,0,-4,1) Matrix(1189,-1518,206,-263) -> Matrix(1,0,-4,1) Matrix(2837,-3630,1084,-1387) -> Matrix(1,0,-4,1) Matrix(461,-594,52,-67) -> Matrix(11,-2,28,-5) Matrix(1585,-2046,306,-395) -> Matrix(21,-4,16,-3) Matrix(661,-858,406,-527) -> Matrix(29,-6,92,-19) Matrix(857,-1122,152,-199) -> Matrix(9,-2,32,-7) Matrix(1123,-1518,634,-857) -> Matrix(11,-4,36,-13) Matrix(925,-1254,194,-263) -> Matrix(13,-6,24,-11) Matrix(3299,-4488,874,-1189) -> Matrix(5,-2,8,-3) Matrix(8119,-11088,2174,-2969) -> Matrix(7,-10,12,-17) Matrix(529,-726,384,-527) -> Matrix(1,0,8,1) Matrix(1387,-1914,908,-1253) -> Matrix(1,0,-4,1) Matrix(9899,-13662,2870,-3961) -> Matrix(1,0,-4,1) Matrix(2245,-3102,668,-923) -> Matrix(1,0,-4,1) Matrix(857,-1188,334,-463) -> Matrix(13,-2,20,-3) Matrix(2111,-2970,376,-529) -> Matrix(19,-4,100,-21) Matrix(1453,-2046,468,-659) -> Matrix(19,-4,24,-5) Matrix(9373,-13200,2530,-3563) -> Matrix(75,-16,136,-29) Matrix(1451,-2046,656,-925) -> Matrix(19,-4,24,-5) Matrix(2243,-3168,468,-661) -> Matrix(47,-10,80,-17) Matrix(791,-1122,466,-661) -> Matrix(9,-2,32,-7) Matrix(2179,-3102,602,-857) -> Matrix(137,-32,304,-71) Matrix(593,-858,320,-463) -> Matrix(37,-10,100,-27) Matrix(857,-1254,136,-199) -> Matrix(13,-4,36,-11) Matrix(1387,-2046,402,-593) -> Matrix(1,0,0,1) Matrix(859,-1320,300,-461) -> Matrix(11,-2,28,-5) Matrix(3233,-5016,2000,-3103) -> Matrix(9,-2,32,-7) Matrix(1189,-1848,424,-659) -> Matrix(9,-2,32,-7) Matrix(11683,-18216,4190,-6533) -> Matrix(107,-24,272,-61) Matrix(463,-726,294,-461) -> Matrix(49,-12,192,-47) Matrix(3763,-5940,1630,-2573) -> Matrix(15,-4,64,-17) Matrix(5147,-8184,1910,-3037) -> Matrix(169,-46,496,-135) Matrix(1783,-2838,1036,-1649) -> Matrix(29,-8,156,-43) Matrix(329,-528,124,-199) -> Matrix(7,-2,32,-9) Matrix(2243,-3630,490,-793) -> Matrix(13,-4,36,-11) Matrix(725,-1188,202,-331) -> Matrix(33,-10,76,-23) Matrix(197,-330,40,-67) -> Matrix(5,-2,8,-3) Matrix(1583,-2706,850,-1453) -> Matrix(11,-2,28,-5) Matrix(4883,-8448,1908,-3301) -> Matrix(103,-24,176,-41) Matrix(991,-1716,190,-329) -> Matrix(17,-4,-4,1) Matrix(3629,-6402,1310,-2311) -> Matrix(13,-4,36,-11) Matrix(593,-1056,260,-463) -> Matrix(7,-2,32,-9) Matrix(2773,-5016,1240,-2243) -> Matrix(13,-4,-16,5) Matrix(1121,-2046,326,-595) -> Matrix(25,-8,72,-23) Matrix(859,-1584,250,-461) -> Matrix(23,-8,72,-25) Matrix(991,-1848,318,-593) -> Matrix(9,-4,16,-7) Matrix(1253,-2706,520,-1123) -> Matrix(47,-18,128,-49) Matrix(395,-858,122,-265) -> Matrix(5,-2,8,-3) Matrix(331,-726,150,-329) -> Matrix(9,-4,16,-7) Matrix(661,-1518,172,-395) -> Matrix(19,-4,24,-5) Matrix(15773,-36432,4258,-9835) -> Matrix(101,-28,184,-51) Matrix(199,-462,28,-65) -> Matrix(7,-2,4,-1) Matrix(1981,-4686,446,-1055) -> Matrix(23,-8,72,-25) Matrix(4289,-10164,1198,-2839) -> Matrix(75,-26,176,-61) Matrix(1189,-2838,442,-1055) -> Matrix(23,-8,72,-25) Matrix(4819,-11616,1396,-3365) -> Matrix(27,-10,100,-37) Matrix(461,-1122,136,-331) -> Matrix(5,-2,28,-11) Matrix(331,-858,76,-197) -> Matrix(1,-2,4,-7) Matrix(529,-1386,50,-131) -> Matrix(3,-2,8,-5) Matrix(1913,-5016,680,-1783) -> Matrix(3,-2,8,-5) Matrix(659,-1782,98,-265) -> Matrix(9,-4,16,-7) Matrix(265,-726,96,-263) -> Matrix(13,-4,36,-11) Matrix(6073,-16830,1762,-4883) -> Matrix(1,0,0,1) Matrix(527,-1518,92,-265) -> Matrix(5,-2,8,-3) Matrix(197,-660,20,-67) -> Matrix(1,0,0,1) Matrix(1253,-4290,328,-1123) -> Matrix(29,-8,40,-11) Matrix(725,-2508,172,-595) -> Matrix(7,-2,32,-9) Matrix(199,-726,54,-197) -> Matrix(25,-12,48,-23) Matrix(1121,-4158,196,-727) -> Matrix(11,-6,24,-13) Matrix(593,-2640,104,-463) -> Matrix(11,-4,36,-13) Matrix(133,-726,24,-131) -> Matrix(1,0,8,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 12 Minimal number of generators: 3 Number of equivalence classes of cusps: 4 Genus: 0 Degree of H/liftables -> H/(image of liftables): 80 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: 80 Genus: 81 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -6/1 -11/2 -9/2 -22/5 -15/4 -11/3 -3/1 -11/4 -55/21 -27/11 -12/5 -11/5 -15/7 -11/7 -3/2 -11/8 -11/9 -11/10 0/1 1/1 33/28 11/9 33/26 11/8 33/23 3/2 11/7 21/13 165/101 33/20 33/19 9/5 2/1 15/7 11/5 66/29 33/14 12/5 99/41 5/2 33/13 55/21 66/25 132/49 11/4 3/1 29/9 33/10 10/3 165/49 99/29 231/67 7/2 25/7 11/3 15/4 132/35 4/1 21/5 13/3 22/5 31/7 9/2 55/12 23/5 14/3 33/7 5/1 16/3 27/5 11/2 17/3 6/1 19/3 13/2 33/5 7/1 8/1 9/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -8/1 0/1 1/4 -7/1 1/3 1/2 -13/2 1/2 4/7 -6/1 1/2 1/0 -17/3 0/1 1/0 -11/2 0/1 -5/1 1/3 1/2 -14/3 1/2 6/11 -23/5 1/2 2/3 -32/7 1/2 2/3 -9/2 1/2 3/4 -31/7 5/6 1/1 -22/5 1/1 -13/3 2/1 1/0 -17/4 0/1 1/0 -4/1 0/1 1/4 -23/6 3/8 8/21 -19/5 2/5 5/12 -34/9 2/5 1/2 -15/4 5/12 1/2 -11/3 1/2 -18/5 1/2 7/12 -25/7 5/8 2/3 -32/9 1/2 2/3 -39/11 1/2 -7/2 3/4 1/1 -38/11 1/2 1/1 -31/9 1/2 1/1 -24/7 3/2 1/0 -41/12 4/1 1/0 -17/5 0/1 1/0 -27/8 1/2 1/0 -64/19 1/1 1/0 -37/11 0/1 1/0 -10/3 0/1 1/0 -33/10 0/1 -23/7 0/1 1/6 -36/11 1/6 1/4 -13/4 0/1 1/2 -16/5 0/1 1/4 -3/1 1/2 -17/6 2/3 3/4 -14/5 0/1 1/2 -39/14 1/2 3/4 -64/23 3/4 1/1 -25/9 2/3 3/4 -11/4 1/1 -41/15 2/1 1/0 -71/26 1/1 3/2 -30/11 3/2 1/0 -19/7 0/1 1/0 -27/10 1/2 3/4 -62/23 7/8 8/9 -35/13 1/1 7/6 -8/3 0/1 1/0 -29/11 0/1 1/8 -21/8 1/4 1/2 -55/21 1/2 -34/13 0/1 1/2 -47/18 1/2 2/3 -13/5 0/1 1/4 -31/12 1/3 3/8 -49/19 3/8 2/5 -18/7 3/8 1/2 -23/9 4/9 1/2 -5/2 1/2 3/5 -32/13 1/2 2/3 -27/11 1/2 -22/9 2/3 -17/7 2/3 3/4 -29/12 14/19 3/4 -41/17 3/4 10/13 -53/22 11/14 4/5 -12/5 3/4 5/6 -43/18 6/7 7/8 -74/31 7/8 8/9 -31/13 1/2 1/1 -19/8 5/6 6/7 -45/19 9/10 -26/11 15/16 1/1 -33/14 1/1 -7/3 1/1 3/2 -16/7 0/1 1/0 -25/11 0/1 1/4 -34/15 0/1 1/2 -9/4 1/2 1/0 -29/13 0/1 1/0 -20/9 0/1 1/2 -11/5 1/2 -13/6 1/2 2/3 -28/13 5/6 1/1 -15/7 1/2 -2/1 1/1 1/0 -13/7 2/3 3/4 -11/6 1/1 -9/5 3/2 -25/14 7/4 2/1 -66/37 2/1 -41/23 2/1 9/4 -16/9 2/1 1/0 -23/13 3/2 2/1 -30/17 3/2 1/0 -7/4 3/1 1/0 -19/11 -2/1 1/0 -50/29 -2/1 1/0 -31/18 -5/4 -1/1 -43/25 -1/2 0/1 -55/32 0/1 -67/39 0/1 1/0 -12/7 -1/2 1/0 -29/17 0/1 1/4 -17/10 0/1 1/0 -5/3 1/2 1/1 -33/20 1/1 -28/17 1/1 11/10 -51/31 7/6 -23/14 6/5 5/4 -64/39 1/1 5/4 -41/25 5/4 4/3 -18/11 3/2 1/0 -67/41 2/1 1/0 -49/30 0/1 1/0 -31/19 1/1 3/2 -13/8 4/3 3/2 -47/29 7/4 2/1 -34/21 3/2 2/1 -89/55 3/2 2/1 -55/34 2/1 -76/47 0/1 1/0 -21/13 3/2 -29/18 15/8 2/1 -66/41 2/1 -37/23 2/1 17/8 -8/5 2/1 1/0 -35/22 23/8 3/1 -27/17 7/2 -46/29 4/1 9/2 -65/41 4/1 1/0 -19/12 4/1 9/2 -11/7 1/0 -14/9 -2/1 -3/2 -31/20 -1/1 1/0 -17/11 0/1 1/0 -3/2 1/2 1/0 -16/11 2/1 1/0 -13/9 4/1 1/0 -10/7 -6/1 1/0 -37/26 -10/3 -13/4 -27/19 -5/2 -17/12 -2/1 1/0 -7/5 -1/1 -1/2 -25/18 0/1 1/0 -43/31 -2/3 -1/2 -18/13 -1/2 -1/4 -65/47 -1/4 0/1 -47/34 -1/6 0/1 -29/21 -1/4 0/1 -11/8 0/1 -37/27 0/1 1/4 -26/19 1/4 1/3 -15/11 1/2 -49/36 0/1 1/0 -34/25 0/1 1/2 -19/14 2/5 1/2 -4/3 2/1 1/0 -17/13 -2/1 1/0 -13/10 -2/1 -3/2 -9/7 -1/2 -32/25 -1/2 0/1 -55/43 -1/2 -23/18 -1/4 0/1 -37/29 -1/4 0/1 -14/11 -1/6 0/1 -33/26 0/1 -19/15 0/1 1/8 -43/34 1/4 2/7 -24/19 1/4 1/2 -5/4 1/2 1/1 -26/21 3/4 1/1 -21/17 3/2 -16/13 2/1 1/0 -11/9 1/0 -17/14 -2/1 1/0 -6/5 -1/2 1/0 -19/16 -2/3 -1/2 -13/11 -1/4 0/1 -33/28 0/1 -20/17 0/1 1/6 -27/23 1/2 -7/6 1/1 1/0 -8/7 2/1 1/0 -9/8 -1/2 1/0 -10/9 -2/1 1/0 -11/10 0/1 -1/1 0/1 1/0 0/1 0/1 1/1 0/1 1/4 10/9 2/9 1/4 9/8 1/6 1/4 8/7 1/4 2/7 23/20 0/1 1/4 15/13 1/2 7/6 1/4 1/3 20/17 -1/2 0/1 33/28 0/1 13/11 0/1 1/8 19/16 1/6 2/11 6/5 1/6 1/4 23/19 3/14 2/9 17/14 2/9 1/4 11/9 1/4 16/13 1/4 2/7 21/17 3/10 5/4 1/3 1/2 29/23 0/1 1/0 24/19 1/2 1/0 19/15 -1/4 0/1 33/26 0/1 14/11 0/1 1/10 37/29 0/1 1/8 23/18 0/1 1/8 32/25 0/1 1/6 9/7 1/6 22/17 1/5 13/10 3/14 2/9 30/23 5/22 1/4 17/13 2/9 1/4 4/3 1/4 2/7 23/17 2/5 1/2 19/14 1/2 2/3 34/25 0/1 1/2 49/36 0/1 1/4 15/11 1/2 56/41 0/1 1/0 41/30 2/1 1/0 26/19 1/1 1/0 11/8 0/1 40/29 1/9 1/8 69/50 1/8 1/6 98/71 0/1 1/6 29/21 0/1 1/8 47/34 0/1 1/10 65/47 0/1 1/8 18/13 1/8 1/6 25/18 0/1 1/4 7/5 1/6 1/5 17/12 2/9 1/4 27/19 5/22 64/45 35/152 3/13 165/116 3/13 101/71 3/13 55/238 37/26 13/56 10/43 10/7 6/25 1/4 33/23 1/4 23/16 1/4 14/55 13/9 1/4 4/15 16/11 1/4 2/7 19/13 1/4 2/7 3/2 1/4 1/2 20/13 0/1 1/6 17/11 0/1 1/4 31/20 1/5 1/4 45/29 1/6 14/9 3/14 2/9 11/7 1/4 19/12 9/34 4/15 65/41 1/4 4/15 111/70 1/4 7/26 46/29 9/34 4/15 73/46 15/56 11/41 27/17 7/26 62/39 22/81 25/92 35/22 3/11 23/84 8/5 1/4 2/7 29/18 2/7 15/52 50/31 2/7 7/24 21/13 3/10 97/60 1/4 1/3 76/47 0/1 1/4 131/81 1/4 2/7 55/34 2/7 34/21 2/7 3/10 47/29 2/7 7/24 13/8 3/10 4/13 44/27 1/3 31/19 3/10 1/3 49/30 0/1 1/4 165/101 1/4 116/71 1/4 4/15 67/41 1/4 2/7 18/11 1/4 3/10 23/14 5/16 6/19 51/31 7/22 28/17 11/34 1/3 33/20 1/3 5/3 1/3 1/2 22/13 0/1 39/23 1/6 17/10 0/1 1/4 46/27 0/1 1/2 29/17 0/1 1/0 12/7 1/6 1/4 67/39 0/1 1/4 55/32 0/1 43/25 0/1 1/6 74/43 2/11 3/16 31/18 1/5 5/24 81/47 3/14 50/29 2/9 1/4 19/11 2/9 1/4 26/15 7/29 1/4 33/19 1/4 7/4 1/4 3/11 37/21 1/4 2/7 67/38 2/7 3/10 30/17 1/4 3/10 23/13 2/7 3/10 62/35 5/16 6/19 39/22 1/4 1/2 16/9 1/4 2/7 25/14 2/7 7/24 34/19 2/7 3/10 9/5 3/10 20/11 6/19 7/22 31/17 7/22 1/3 11/6 1/3 13/7 3/8 2/5 2/1 1/4 1/3 17/8 3/8 2/5 15/7 1/2 28/13 1/3 5/14 13/6 2/5 1/2 11/5 1/2 20/9 0/1 1/2 29/13 0/1 1/4 67/30 0/1 1/2 38/17 1/2 1/1 9/4 1/4 1/2 34/15 0/1 1/2 25/11 0/1 1/0 66/29 0/1 41/18 0/1 1/8 16/7 0/1 1/4 7/3 3/10 1/3 33/14 1/3 26/11 1/3 15/44 71/30 1/3 13/38 45/19 9/26 64/27 1/3 7/20 19/8 6/17 5/14 50/21 4/11 3/8 31/13 1/3 1/2 43/18 7/20 6/17 55/23 5/14 12/5 5/14 3/8 65/27 4/11 3/8 53/22 4/11 11/30 94/39 7/19 17/46 41/17 10/27 3/8 70/29 34/91 3/8 99/41 3/8 29/12 3/8 14/37 17/7 3/8 2/5 22/9 2/5 27/11 1/2 32/13 2/5 1/2 37/15 3/8 2/5 5/2 3/7 1/2 33/13 1/2 28/11 1/2 11/21 23/9 1/2 4/7 64/25 19/32 3/5 41/16 5/8 2/3 18/7 1/2 3/4 67/26 1/2 2/3 116/45 5/8 2/3 165/64 2/3 49/19 2/3 3/4 31/12 3/4 1/1 13/5 0/1 1/0 47/18 2/5 1/2 34/13 0/1 1/2 89/34 0/1 1/4 55/21 1/2 76/29 2/3 3/4 21/8 1/2 1/0 29/11 -1/4 0/1 66/25 0/1 37/14 0/1 1/12 8/3 0/1 1/4 43/16 1/4 2/7 35/13 7/22 1/3 132/49 1/3 97/36 1/3 23/68 62/23 8/23 7/20 27/10 3/8 1/2 46/17 1/2 2/3 19/7 0/1 1/4 49/18 0/1 1/4 30/11 1/4 3/10 11/4 1/3 36/13 3/8 1/2 133/48 2/5 1/2 97/35 1/3 1/2 61/22 1/3 1/2 86/31 5/14 4/11 25/9 3/8 2/5 64/23 1/3 3/8 39/14 3/8 1/2 14/5 0/1 1/2 31/11 1/3 5/14 17/6 3/8 2/5 3/1 1/2 16/5 0/1 1/0 29/9 0/1 1/4 13/4 0/1 1/2 36/11 -1/2 1/0 23/7 -1/2 0/1 33/10 0/1 10/3 0/1 1/4 37/11 0/1 1/4 101/30 1/5 1/4 165/49 1/4 64/19 1/4 1/3 27/8 1/4 1/2 17/5 0/1 1/4 58/17 4/17 1/4 99/29 1/4 41/12 1/4 4/15 24/7 1/4 3/10 31/9 1/3 1/2 131/38 2/5 1/2 231/67 1/2 100/29 0/1 1/2 69/20 1/4 1/2 38/11 1/3 1/2 7/2 1/3 3/8 39/11 1/2 32/9 2/5 1/2 25/7 2/5 5/12 68/19 5/12 3/7 111/31 1/2 43/12 5/12 8/19 18/5 7/16 1/2 11/3 1/2 15/4 1/2 5/8 49/13 5/8 2/3 132/35 2/3 83/22 2/3 3/4 34/9 1/2 2/3 19/5 5/8 2/3 42/11 7/10 3/4 23/6 8/11 3/4 4/1 0/1 1/0 21/5 1/6 17/4 0/1 1/4 13/3 1/4 2/7 22/5 1/3 31/7 1/3 5/14 9/2 3/8 1/2 32/7 2/5 1/2 55/12 2/5 23/5 2/5 1/2 60/13 5/12 11/26 37/8 10/23 7/16 14/3 6/13 1/2 33/7 1/2 19/4 1/2 8/15 5/1 1/2 1/1 16/3 0/1 1/0 27/5 -1/2 11/2 0/1 17/3 0/1 1/4 6/1 1/4 1/2 19/3 3/8 2/5 13/2 4/9 1/2 33/5 1/2 20/3 1/2 6/11 7/1 1/2 1/1 8/1 0/1 1/0 9/1 1/2 1/0 0/1 1/2 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(34,297,19,166) (-8/1,1/0) -> (25/14,34/19) Hyperbolic Matrix(32,231,-23,-166) (-8/1,-7/1) -> (-7/5,-25/18) Hyperbolic Matrix(34,231,5,34) (-7/1,-13/2) -> (20/3,7/1) Hyperbolic Matrix(100,627,37,232) (-13/2,-6/1) -> (27/10,46/17) Hyperbolic Matrix(98,561,-29,-166) (-6/1,-17/3) -> (-17/5,-27/8) Hyperbolic Matrix(100,561,-41,-230) (-17/3,-11/2) -> (-22/9,-17/7) Hyperbolic Matrix(32,165,19,98) (-11/2,-5/1) -> (5/3,22/13) Hyperbolic Matrix(34,165,7,34) (-5/1,-14/3) -> (19/4,5/1) Hyperbolic Matrix(164,759,121,560) (-14/3,-23/5) -> (23/17,19/14) Hyperbolic Matrix(793,3630,-490,-2243) (-23/5,-32/7) -> (-34/21,-89/55) Hyperbolic Matrix(131,594,58,263) (-32/7,-9/2) -> (9/4,34/15) Hyperbolic Matrix(230,1023,-67,-298) (-9/2,-31/7) -> (-31/9,-24/7) Hyperbolic Matrix(463,2046,284,1255) (-31/7,-22/5) -> (44/27,31/19) Hyperbolic Matrix(98,429,-53,-232) (-22/5,-13/3) -> (-13/7,-11/6) Hyperbolic Matrix(100,429,-69,-296) (-13/3,-17/4) -> (-16/11,-13/9) Hyperbolic Matrix(166,693,103,430) (-17/4,-4/1) -> (29/18,50/31) Hyperbolic Matrix(232,891,-163,-626) (-4/1,-23/6) -> (-10/7,-37/26) Hyperbolic Matrix(329,1254,-260,-991) (-23/6,-19/5) -> (-19/15,-43/34) Hyperbolic Matrix(593,2244,366,1385) (-19/5,-34/9) -> (34/21,47/29) Hyperbolic Matrix(430,1617,167,628) (-34/9,-15/4) -> (18/7,67/26) Hyperbolic Matrix(98,363,-27,-100) (-15/4,-11/3) -> (-11/3,-18/5) Parabolic Matrix(331,1188,-202,-725) (-18/5,-25/7) -> (-41/25,-18/11) Hyperbolic Matrix(463,1650,204,727) (-25/7,-32/9) -> (34/15,25/11) Hyperbolic Matrix(595,2112,242,859) (-32/9,-39/11) -> (27/11,32/13) Hyperbolic Matrix(857,3036,540,1913) (-39/11,-7/2) -> (73/46,27/17) Hyperbolic Matrix(296,1023,-239,-826) (-7/2,-38/11) -> (-5/4,-26/21) Hyperbolic Matrix(1616,5577,583,2012) (-38/11,-31/9) -> (97/35,61/22) Hyperbolic Matrix(164,561,-145,-496) (-24/7,-41/12) -> (-8/7,-9/8) Hyperbolic Matrix(494,1683,145,494) (-41/12,-17/5) -> (17/5,58/17) Hyperbolic Matrix(1253,4224,450,1517) (-27/8,-64/19) -> (64/23,39/14) Hyperbolic Matrix(1814,6105,539,1814) (-64/19,-37/11) -> (37/11,101/30) Hyperbolic Matrix(364,1221,-285,-956) (-37/11,-10/3) -> (-23/18,-37/29) Hyperbolic Matrix(199,660,60,199) (-10/3,-33/10) -> (33/10,10/3) Hyperbolic Matrix(461,1518,140,461) (-33/10,-23/7) -> (23/7,33/10) Hyperbolic Matrix(463,1518,262,859) (-23/7,-36/11) -> (30/17,23/13) Hyperbolic Matrix(263,858,202,659) (-36/11,-13/4) -> (13/10,30/23) Hyperbolic Matrix(298,957,175,562) (-13/4,-16/5) -> (17/10,46/27) Hyperbolic Matrix(32,99,-11,-34) (-16/5,-3/1) -> (-3/1,-17/6) Parabolic Matrix(364,1023,153,430) (-17/6,-14/5) -> (19/8,50/21) Hyperbolic Matrix(296,825,-249,-694) (-14/5,-39/14) -> (-6/5,-19/16) Hyperbolic Matrix(1517,4224,450,1253) (-39/14,-64/23) -> (64/19,27/8) Hyperbolic Matrix(1187,3300,332,923) (-64/23,-25/9) -> (25/7,68/19) Hyperbolic Matrix(263,726,-96,-265) (-25/9,-11/4) -> (-11/4,-41/15) Parabolic Matrix(2476,6765,1027,2806) (-41/15,-71/26) -> (94/39,41/17) Hyperbolic Matrix(2212,6039,641,1750) (-71/26,-30/11) -> (69/20,38/11) Hyperbolic Matrix(230,627,157,428) (-30/11,-19/7) -> (19/13,3/2) Hyperbolic Matrix(232,627,37,100) (-19/7,-27/10) -> (6/1,19/3) Hyperbolic Matrix(1517,4092,856,2309) (-27/10,-62/23) -> (62/35,39/22) Hyperbolic Matrix(2804,7557,1971,5312) (-62/23,-35/13) -> (101/71,37/26) Hyperbolic Matrix(1055,2838,-442,-1189) (-35/13,-8/3) -> (-74/31,-31/13) Hyperbolic Matrix(199,528,-124,-329) (-8/3,-29/11) -> (-37/23,-8/5) Hyperbolic Matrix(364,957,-213,-560) (-29/11,-21/8) -> (-12/7,-29/17) Hyperbolic Matrix(692,1815,289,758) (-21/8,-55/21) -> (55/23,12/5) Hyperbolic Matrix(1387,3630,-1084,-2837) (-55/21,-34/13) -> (-32/25,-55/43) Hyperbolic Matrix(859,2244,632,1651) (-34/13,-47/18) -> (19/14,34/25) Hyperbolic Matrix(329,858,278,725) (-47/18,-13/5) -> (13/11,19/16) Hyperbolic Matrix(166,429,-89,-230) (-13/5,-31/12) -> (-2/1,-13/7) Hyperbolic Matrix(793,2046,512,1321) (-31/12,-49/19) -> (17/11,31/20) Hyperbolic Matrix(628,1617,167,430) (-49/19,-18/7) -> (15/4,49/13) Hyperbolic Matrix(463,1188,-334,-857) (-18/7,-23/9) -> (-43/31,-18/13) Hyperbolic Matrix(298,759,117,298) (-23/9,-5/2) -> (28/11,23/9) Hyperbolic Matrix(628,1551,281,694) (-5/2,-32/13) -> (67/30,38/17) Hyperbolic Matrix(859,2112,242,595) (-32/13,-27/11) -> (39/11,32/9) Hyperbolic Matrix(593,1452,350,857) (-27/11,-22/9) -> (22/13,39/23) Hyperbolic Matrix(232,561,-177,-428) (-17/7,-29/12) -> (-4/3,-17/13) Hyperbolic Matrix(1682,4059,697,1682) (-29/12,-41/17) -> (41/17,70/29) Hyperbolic Matrix(2012,4851,725,1748) (-41/17,-53/22) -> (86/31,25/9) Hyperbolic Matrix(2672,6435,1685,4058) (-53/22,-12/5) -> (111/70,46/29) Hyperbolic Matrix(758,1815,289,692) (-12/5,-43/18) -> (76/29,21/8) Hyperbolic Matrix(857,2046,746,1781) (-43/18,-74/31) -> (8/7,23/20) Hyperbolic Matrix(430,1023,153,364) (-31/13,-19/8) -> (14/5,31/11) Hyperbolic Matrix(626,1485,403,956) (-19/8,-45/19) -> (45/29,14/9) Hyperbolic Matrix(725,1716,-586,-1387) (-45/19,-26/11) -> (-26/21,-21/17) Hyperbolic Matrix(727,1716,308,727) (-26/11,-33/14) -> (33/14,26/11) Hyperbolic Matrix(197,462,84,197) (-33/14,-7/3) -> (7/3,33/14) Hyperbolic Matrix(100,231,-71,-164) (-7/3,-16/7) -> (-17/12,-7/5) Hyperbolic Matrix(463,1056,-260,-593) (-16/7,-25/11) -> (-41/23,-16/9) Hyperbolic Matrix(727,1650,204,463) (-25/11,-34/15) -> (32/9,25/7) Hyperbolic Matrix(263,594,58,131) (-34/15,-9/4) -> (9/2,32/7) Hyperbolic Matrix(428,957,339,758) (-9/4,-29/13) -> (29/23,24/19) Hyperbolic Matrix(859,1914,504,1123) (-29/13,-20/9) -> (46/27,29/17) Hyperbolic Matrix(164,363,-75,-166) (-20/9,-11/5) -> (-11/5,-13/6) Parabolic Matrix(1484,3201,535,1154) (-13/6,-28/13) -> (61/22,86/31) Hyperbolic Matrix(859,1848,522,1123) (-28/13,-15/7) -> (51/31,28/17) Hyperbolic Matrix(298,627,173,364) (-15/7,-2/1) -> (31/18,81/47) Hyperbolic Matrix(164,297,127,230) (-11/6,-9/5) -> (9/7,22/17) Hyperbolic Matrix(166,297,19,34) (-9/5,-25/14) -> (8/1,9/1) Hyperbolic Matrix(2441,4356,1072,1913) (-25/14,-66/37) -> (66/29,41/18) Hyperbolic Matrix(2443,4356,1074,1915) (-66/37,-41/23) -> (25/11,66/29) Hyperbolic Matrix(428,759,353,626) (-16/9,-23/13) -> (23/19,17/14) Hyperbolic Matrix(859,1518,262,463) (-23/13,-30/17) -> (36/11,23/7) Hyperbolic Matrix(956,1683,693,1220) (-30/17,-7/4) -> (40/29,69/50) Hyperbolic Matrix(362,627,209,362) (-7/4,-19/11) -> (19/11,26/15) Hyperbolic Matrix(727,1254,498,859) (-19/11,-50/29) -> (16/11,19/13) Hyperbolic Matrix(364,627,173,298) (-50/29,-31/18) -> (2/1,17/8) Hyperbolic Matrix(2014,3465,787,1354) (-31/18,-43/25) -> (23/9,64/25) Hyperbolic Matrix(2111,3630,460,791) (-43/25,-55/32) -> (55/12,23/5) Hyperbolic Matrix(6337,10890,3918,6733) (-55/32,-67/39) -> (131/81,55/34) Hyperbolic Matrix(923,1584,384,659) (-67/39,-12/7) -> (12/5,65/27) Hyperbolic Matrix(562,957,175,298) (-29/17,-17/10) -> (16/5,29/9) Hyperbolic Matrix(98,165,19,32) (-17/10,-5/3) -> (5/1,16/3) Hyperbolic Matrix(199,330,120,199) (-5/3,-33/20) -> (33/20,5/3) Hyperbolic Matrix(1121,1848,680,1121) (-33/20,-28/17) -> (28/17,33/20) Hyperbolic Matrix(1123,1848,522,859) (-28/17,-51/31) -> (15/7,28/13) Hyperbolic Matrix(923,1518,802,1319) (-51/31,-23/14) -> (23/20,15/13) Hyperbolic Matrix(4322,7095,2673,4388) (-23/14,-64/39) -> (97/60,76/47) Hyperbolic Matrix(2575,4224,926,1519) (-64/39,-41/25) -> (25/9,64/23) Hyperbolic Matrix(1453,2376,1050,1717) (-18/11,-67/41) -> (65/47,18/13) Hyperbolic Matrix(6766,11055,4141,6766) (-67/41,-49/30) -> (116/71,67/41) Hyperbolic Matrix(1253,2046,444,725) (-49/30,-31/19) -> (31/11,17/6) Hyperbolic Matrix(628,1023,345,562) (-31/19,-13/8) -> (20/11,31/17) Hyperbolic Matrix(529,858,82,133) (-13/8,-47/29) -> (19/3,13/2) Hyperbolic Matrix(1385,2244,366,593) (-47/29,-34/21) -> (34/9,19/5) Hyperbolic Matrix(4487,7260,2610,4223) (-89/55,-55/34) -> (55/32,43/25) Hyperbolic Matrix(857,1386,-776,-1255) (-55/34,-76/47) -> (-10/9,-11/10) Hyperbolic Matrix(5776,9339,1613,2608) (-76/47,-21/13) -> (111/31,43/12) Hyperbolic Matrix(430,693,103,166) (-21/13,-29/18) -> (4/1,21/5) Hyperbolic Matrix(2705,4356,1024,1649) (-29/18,-66/41) -> (66/25,37/14) Hyperbolic Matrix(2707,4356,1026,1651) (-66/41,-37/23) -> (29/11,66/25) Hyperbolic Matrix(1222,1947,477,760) (-8/5,-35/22) -> (64/25,41/16) Hyperbolic Matrix(1682,2673,1183,1880) (-35/22,-27/17) -> (27/19,64/45) Hyperbolic Matrix(1123,1782,-956,-1517) (-27/17,-46/29) -> (-20/17,-27/23) Hyperbolic Matrix(4058,6435,1685,2672) (-46/29,-65/41) -> (65/27,53/22) Hyperbolic Matrix(2707,4290,1958,3103) (-65/41,-19/12) -> (47/34,65/47) Hyperbolic Matrix(230,363,-147,-232) (-19/12,-11/7) -> (-11/7,-14/9) Parabolic Matrix(956,1485,403,626) (-14/9,-31/20) -> (64/27,19/8) Hyperbolic Matrix(1321,2046,512,793) (-31/20,-17/11) -> (49/19,31/12) Hyperbolic Matrix(364,561,279,430) (-17/11,-3/2) -> (30/23,17/13) Hyperbolic Matrix(428,627,157,230) (-3/2,-16/11) -> (49/18,30/11) Hyperbolic Matrix(298,429,207,298) (-13/9,-10/7) -> (23/16,13/9) Hyperbolic Matrix(1880,2673,1183,1682) (-37/26,-27/19) -> (27/17,62/39) Hyperbolic Matrix(628,891,117,166) (-27/19,-17/12) -> (16/3,27/5) Hyperbolic Matrix(3068,4257,1783,2474) (-25/18,-43/31) -> (43/25,74/43) Hyperbolic Matrix(1717,2376,1050,1453) (-18/13,-65/47) -> (67/41,18/11) Hyperbolic Matrix(3103,4290,1958,2707) (-65/47,-47/34) -> (19/12,65/41) Hyperbolic Matrix(1552,2145,-1217,-1682) (-47/34,-29/21) -> (-37/29,-14/11) Hyperbolic Matrix(527,726,-384,-529) (-29/21,-11/8) -> (-11/8,-37/27) Parabolic Matrix(892,1221,507,694) (-37/27,-26/19) -> (7/4,37/21) Hyperbolic Matrix(362,495,313,428) (-26/19,-15/11) -> (15/13,7/6) Hyperbolic Matrix(727,990,340,463) (-15/11,-49/36) -> (17/8,15/7) Hyperbolic Matrix(5312,7227,2061,2804) (-49/36,-34/25) -> (67/26,116/45) Hyperbolic Matrix(1651,2244,632,859) (-34/25,-19/14) -> (47/18,34/13) Hyperbolic Matrix(560,759,121,164) (-19/14,-4/3) -> (37/8,14/3) Hyperbolic Matrix(430,561,279,364) (-17/13,-13/10) -> (20/13,17/11) Hyperbolic Matrix(230,297,127,164) (-13/10,-9/7) -> (9/5,20/11) Hyperbolic Matrix(463,594,258,331) (-9/7,-32/25) -> (34/19,9/5) Hyperbolic Matrix(2839,3630,1188,1519) (-55/43,-23/18) -> (43/18,55/23) Hyperbolic Matrix(727,924,572,727) (-14/11,-33/26) -> (33/26,14/11) Hyperbolic Matrix(989,1254,780,989) (-33/26,-19/15) -> (19/15,33/26) Hyperbolic Matrix(496,627,-443,-560) (-43/34,-24/19) -> (-9/8,-10/9) Hyperbolic Matrix(758,957,339,428) (-24/19,-5/4) -> (38/17,9/4) Hyperbolic Matrix(1123,1386,696,859) (-21/17,-16/13) -> (50/31,21/13) Hyperbolic Matrix(296,363,-243,-298) (-16/13,-11/9) -> (-11/9,-17/14) Parabolic Matrix(626,759,353,428) (-17/14,-6/5) -> (39/22,16/9) Hyperbolic Matrix(725,858,278,329) (-19/16,-13/11) -> (13/5,47/18) Hyperbolic Matrix(727,858,616,727) (-13/11,-33/28) -> (33/28,13/11) Hyperbolic Matrix(1121,1320,952,1121) (-33/28,-20/17) -> (20/17,33/28) Hyperbolic Matrix(395,462,112,131) (-27/23,-7/6) -> (7/2,39/11) Hyperbolic Matrix(428,495,313,362) (-7/6,-8/7) -> (41/30,26/19) Hyperbolic Matrix(725,792,422,461) (-11/10,-1/1) -> (67/39,55/32) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(1255,-1386,776,-857) (1/1,10/9) -> (76/47,131/81) Hyperbolic Matrix(562,-627,147,-164) (10/9,9/8) -> (42/11,23/6) Hyperbolic Matrix(496,-561,145,-164) (9/8,8/7) -> (41/12,24/7) Hyperbolic Matrix(1517,-1782,956,-1123) (7/6,20/17) -> (46/29,73/46) Hyperbolic Matrix(694,-825,249,-296) (19/16,6/5) -> (39/14,14/5) Hyperbolic Matrix(1255,-1518,272,-329) (6/5,23/19) -> (23/5,60/13) Hyperbolic Matrix(298,-363,243,-296) (17/14,11/9) -> (11/9,16/13) Parabolic Matrix(562,-693,133,-164) (16/13,21/17) -> (21/5,17/4) Hyperbolic Matrix(1387,-1716,586,-725) (21/17,5/4) -> (71/30,45/19) Hyperbolic Matrix(263,-330,106,-133) (5/4,29/23) -> (37/15,5/2) Hyperbolic Matrix(991,-1254,260,-329) (24/19,19/15) -> (19/5,42/11) Hyperbolic Matrix(1682,-2145,1217,-1552) (14/11,37/29) -> (29/21,47/34) Hyperbolic Matrix(956,-1221,285,-364) (37/29,23/18) -> (10/3,37/11) Hyperbolic Matrix(2837,-3630,1084,-1387) (23/18,32/25) -> (34/13,89/34) Hyperbolic Matrix(232,-297,25,-32) (32/25,9/7) -> (9/1,1/0) Hyperbolic Matrix(661,-858,406,-527) (22/17,13/10) -> (13/8,44/27) Hyperbolic Matrix(428,-561,177,-232) (17/13,4/3) -> (29/12,17/7) Hyperbolic Matrix(1123,-1518,634,-857) (4/3,23/17) -> (23/13,62/35) Hyperbolic Matrix(3299,-4488,874,-1189) (34/25,49/36) -> (83/22,34/9) Hyperbolic Matrix(3466,-4719,2011,-2738) (49/36,15/11) -> (81/47,50/29) Hyperbolic Matrix(2344,-3201,1425,-1946) (15/11,56/41) -> (23/14,51/31) Hyperbolic Matrix(1618,-2211,603,-824) (56/41,41/30) -> (8/3,43/16) Hyperbolic Matrix(529,-726,384,-527) (26/19,11/8) -> (11/8,40/29) Parabolic Matrix(9899,-13662,2870,-3961) (69/50,98/71) -> (100/29,69/20) Hyperbolic Matrix(3466,-4785,1553,-2144) (98/71,29/21) -> (29/13,67/30) Hyperbolic Matrix(857,-1188,334,-463) (18/13,25/18) -> (41/16,18/7) Hyperbolic Matrix(166,-231,23,-32) (25/18,7/5) -> (7/1,8/1) Hyperbolic Matrix(164,-231,71,-100) (7/5,17/12) -> (16/7,7/3) Hyperbolic Matrix(791,-1122,466,-661) (17/12,27/19) -> (39/23,17/10) Hyperbolic Matrix(17192,-24453,6381,-9076) (64/45,165/116) -> (132/49,97/36) Hyperbolic Matrix(13432,-19107,4987,-7094) (165/116,101/71) -> (35/13,132/49) Hyperbolic Matrix(626,-891,163,-232) (37/26,10/7) -> (23/6,4/1) Hyperbolic Matrix(760,-1089,529,-758) (10/7,33/23) -> (33/23,23/16) Parabolic Matrix(296,-429,69,-100) (13/9,16/11) -> (17/4,13/3) Hyperbolic Matrix(494,-759,151,-232) (3/2,20/13) -> (13/4,36/11) Hyperbolic Matrix(3233,-5016,2000,-3103) (31/20,45/29) -> (21/13,97/60) Hyperbolic Matrix(232,-363,147,-230) (14/9,11/7) -> (11/7,19/12) Parabolic Matrix(5182,-8217,3017,-4784) (65/41,111/70) -> (12/7,67/39) Hyperbolic Matrix(5147,-8184,1910,-3037) (62/39,35/22) -> (97/36,62/23) Hyperbolic Matrix(1783,-2838,1036,-1649) (35/22,8/5) -> (74/43,31/18) Hyperbolic Matrix(329,-528,124,-199) (8/5,29/18) -> (37/14,8/3) Hyperbolic Matrix(2243,-3630,490,-793) (55/34,34/21) -> (32/7,55/12) Hyperbolic Matrix(1486,-2409,549,-890) (47/29,13/8) -> (46/17,19/7) Hyperbolic Matrix(1880,-3069,789,-1288) (31/19,49/30) -> (50/21,31/13) Hyperbolic Matrix(16666,-27225,10201,-16664) (49/30,165/101) -> (165/101,116/71) Parabolic Matrix(725,-1188,202,-331) (18/11,23/14) -> (43/12,18/5) Hyperbolic Matrix(560,-957,213,-364) (29/17,12/7) -> (21/8,29/11) Hyperbolic Matrix(1090,-1881,401,-692) (50/29,19/11) -> (19/7,49/18) Hyperbolic Matrix(628,-1089,361,-626) (26/15,33/19) -> (33/19,7/4) Parabolic Matrix(2078,-3663,843,-1486) (37/21,67/38) -> (32/13,37/15) Hyperbolic Matrix(3629,-6402,1310,-2311) (67/38,30/17) -> (36/13,133/48) Hyperbolic Matrix(593,-1056,260,-463) (16/9,25/14) -> (41/18,16/7) Hyperbolic Matrix(560,-1023,127,-232) (31/17,11/6) -> (22/5,31/7) Hyperbolic Matrix(232,-429,53,-98) (11/6,13/7) -> (13/3,22/5) Hyperbolic Matrix(230,-429,89,-166) (13/7,2/1) -> (31/12,13/5) Hyperbolic Matrix(1253,-2706,520,-1123) (28/13,13/6) -> (53/22,94/39) Hyperbolic Matrix(166,-363,75,-164) (13/6,11/5) -> (11/5,20/9) Parabolic Matrix(430,-957,133,-296) (20/9,29/13) -> (29/9,13/4) Hyperbolic Matrix(628,-1485,181,-428) (26/11,71/30) -> (38/11,7/2) Hyperbolic Matrix(4289,-10164,1198,-2839) (45/19,64/27) -> (68/19,111/31) Hyperbolic Matrix(1189,-2838,442,-1055) (31/13,43/18) -> (43/16,35/13) Hyperbolic Matrix(4060,-9801,1681,-4058) (70/29,99/41) -> (99/41,29/12) Parabolic Matrix(230,-561,41,-100) (17/7,22/9) -> (11/2,17/3) Hyperbolic Matrix(364,-891,67,-164) (22/9,27/11) -> (27/5,11/2) Hyperbolic Matrix(430,-1089,169,-428) (5/2,33/13) -> (33/13,28/11) Parabolic Matrix(11252,-29007,2983,-7690) (116/45,165/64) -> (132/35,83/22) Hyperbolic Matrix(5644,-14553,1497,-3860) (165/64,49/19) -> (49/13,132/35) Hyperbolic Matrix(3466,-9075,1323,-3464) (89/34,55/21) -> (55/21,76/29) Parabolic Matrix(1750,-4719,379,-1022) (62/23,27/10) -> (60/13,37/8) Hyperbolic Matrix(265,-726,96,-263) (30/11,11/4) -> (11/4,36/13) Parabolic Matrix(6073,-16830,1762,-4883) (133/48,97/35) -> (31/9,131/38) Hyperbolic Matrix(34,-99,11,-32) (17/6,3/1) -> (3/1,16/5) Parabolic Matrix(8086,-27225,2401,-8084) (101/30,165/49) -> (165/49,64/19) Parabolic Matrix(166,-561,29,-98) (27/8,17/5) -> (17/3,6/1) Hyperbolic Matrix(2872,-9801,841,-2870) (58/17,99/29) -> (99/29,41/12) Parabolic Matrix(298,-1023,67,-230) (24/7,31/9) -> (31/7,9/2) Hyperbolic Matrix(15478,-53361,4489,-15476) (131/38,231/67) -> (231/67,100/29) Parabolic Matrix(100,-363,27,-98) (18/5,11/3) -> (11/3,15/4) Parabolic Matrix(232,-1089,49,-230) (14/3,33/7) -> (33/7,19/4) Parabolic Matrix(166,-1089,25,-164) (13/2,33/5) -> (33/5,20/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(34,297,19,166) -> Matrix(1,-2,4,-7) Matrix(32,231,-23,-166) -> Matrix(1,0,-4,1) Matrix(34,231,5,34) -> Matrix(5,-2,8,-3) Matrix(100,627,37,232) -> Matrix(3,-2,8,-5) Matrix(98,561,-29,-166) -> Matrix(1,0,0,1) Matrix(100,561,-41,-230) -> Matrix(3,2,4,3) Matrix(32,165,19,98) -> Matrix(1,0,0,1) Matrix(34,165,7,34) -> Matrix(5,-2,8,-3) Matrix(164,759,121,560) -> Matrix(7,-4,16,-9) Matrix(793,3630,-490,-2243) -> Matrix(5,-4,4,-3) Matrix(131,594,58,263) -> Matrix(3,-2,8,-5) Matrix(230,1023,-67,-298) -> Matrix(5,-4,4,-3) Matrix(463,2046,284,1255) -> Matrix(3,-2,8,-5) Matrix(98,429,-53,-232) -> Matrix(3,-4,4,-5) Matrix(100,429,-69,-296) -> Matrix(1,2,0,1) Matrix(166,693,103,430) -> Matrix(7,2,24,7) Matrix(232,891,-163,-626) -> Matrix(27,-10,-8,3) Matrix(329,1254,-260,-991) -> Matrix(5,-2,28,-11) Matrix(593,2244,366,1385) -> Matrix(11,-4,36,-13) Matrix(430,1617,167,628) -> Matrix(9,-4,16,-7) Matrix(98,363,-27,-100) -> Matrix(13,-6,24,-11) Matrix(331,1188,-202,-725) -> Matrix(17,-10,12,-7) Matrix(463,1650,204,727) -> Matrix(3,-2,8,-5) Matrix(595,2112,242,859) -> Matrix(7,-4,16,-9) Matrix(857,3036,540,1913) -> Matrix(29,-18,108,-67) Matrix(296,1023,-239,-826) -> Matrix(1,0,0,1) Matrix(1616,5577,583,2012) -> Matrix(3,-2,8,-5) Matrix(164,561,-145,-496) -> Matrix(1,-2,0,1) Matrix(494,1683,145,494) -> Matrix(1,0,4,1) Matrix(1253,4224,450,1517) -> Matrix(3,-2,8,-5) Matrix(1814,6105,539,1814) -> Matrix(1,0,4,1) Matrix(364,1221,-285,-956) -> Matrix(1,0,-4,1) Matrix(199,660,60,199) -> Matrix(1,0,4,1) Matrix(461,1518,140,461) -> Matrix(1,0,-8,1) Matrix(463,1518,262,859) -> Matrix(9,-2,32,-7) Matrix(263,858,202,659) -> Matrix(7,-2,32,-9) Matrix(298,957,175,562) -> Matrix(1,0,0,1) Matrix(32,99,-11,-34) -> Matrix(5,-2,8,-3) Matrix(364,1023,153,430) -> Matrix(7,-6,20,-17) Matrix(296,825,-249,-694) -> Matrix(3,-2,-4,3) Matrix(1517,4224,450,1253) -> Matrix(3,-2,8,-5) Matrix(1187,3300,332,923) -> Matrix(7,-4,16,-9) Matrix(263,726,-96,-265) -> Matrix(5,-4,4,-3) Matrix(2476,6765,1027,2806) -> Matrix(3,4,8,11) Matrix(2212,6039,641,1750) -> Matrix(1,-2,4,-7) Matrix(230,627,157,428) -> Matrix(1,-2,4,-7) Matrix(232,627,37,100) -> Matrix(3,-2,8,-5) Matrix(1517,4092,856,2309) -> Matrix(3,-2,8,-5) Matrix(2804,7557,1971,5312) -> Matrix(37,-34,160,-147) Matrix(1055,2838,-442,-1189) -> Matrix(7,-8,8,-9) Matrix(199,528,-124,-329) -> Matrix(1,2,0,1) Matrix(364,957,-213,-560) -> Matrix(1,0,-4,1) Matrix(692,1815,289,758) -> Matrix(13,-4,36,-11) Matrix(1387,3630,-1084,-2837) -> Matrix(1,0,-4,1) Matrix(859,2244,632,1651) -> Matrix(1,0,0,1) Matrix(329,858,278,725) -> Matrix(1,0,4,1) Matrix(166,429,-89,-230) -> Matrix(5,-2,8,-3) Matrix(793,2046,512,1321) -> Matrix(5,-2,28,-11) Matrix(628,1617,167,430) -> Matrix(9,-4,16,-7) Matrix(463,1188,-334,-857) -> Matrix(5,-2,-12,5) Matrix(298,759,117,298) -> Matrix(17,-8,32,-15) Matrix(628,1551,281,694) -> Matrix(3,-2,8,-5) Matrix(859,2112,242,595) -> Matrix(7,-4,16,-9) Matrix(593,1452,350,857) -> Matrix(3,-2,20,-13) Matrix(232,561,-177,-428) -> Matrix(11,-8,-4,3) Matrix(1682,4059,697,1682) -> Matrix(79,-60,212,-161) Matrix(2012,4851,725,1748) -> Matrix(31,-24,84,-65) Matrix(2672,6435,1685,4058) -> Matrix(11,-8,40,-29) Matrix(758,1815,289,692) -> Matrix(5,-4,4,-3) Matrix(857,2046,746,1781) -> Matrix(7,-6,20,-17) Matrix(430,1023,153,364) -> Matrix(7,-6,20,-17) Matrix(626,1485,403,956) -> Matrix(9,-8,44,-39) Matrix(725,1716,-586,-1387) -> Matrix(13,-12,12,-11) Matrix(727,1716,308,727) -> Matrix(31,-30,92,-89) Matrix(197,462,84,197) -> Matrix(5,-6,16,-19) Matrix(100,231,-71,-164) -> Matrix(1,-2,0,1) Matrix(463,1056,-260,-593) -> Matrix(1,2,0,1) Matrix(727,1650,204,463) -> Matrix(3,-2,8,-5) Matrix(263,594,58,131) -> Matrix(3,-2,8,-5) Matrix(428,957,339,758) -> Matrix(1,0,0,1) Matrix(859,1914,504,1123) -> Matrix(1,0,0,1) Matrix(164,363,-75,-166) -> Matrix(5,-2,8,-3) Matrix(1484,3201,535,1154) -> Matrix(7,-6,20,-17) Matrix(859,1848,522,1123) -> Matrix(5,-6,16,-19) Matrix(298,627,173,364) -> Matrix(5,-4,24,-19) Matrix(164,297,127,230) -> Matrix(3,-4,16,-21) Matrix(166,297,19,34) -> Matrix(1,-2,4,-7) Matrix(2441,4356,1072,1913) -> Matrix(1,-2,12,-23) Matrix(2443,4356,1074,1915) -> Matrix(1,-2,-4,9) Matrix(428,759,353,626) -> Matrix(1,0,4,1) Matrix(859,1518,262,463) -> Matrix(1,-2,0,1) Matrix(956,1683,693,1220) -> Matrix(1,-2,8,-15) Matrix(362,627,209,362) -> Matrix(1,4,4,17) Matrix(727,1254,498,859) -> Matrix(1,0,4,1) Matrix(364,627,173,298) -> Matrix(3,4,8,11) Matrix(2014,3465,787,1354) -> Matrix(7,4,12,7) Matrix(2111,3630,460,791) -> Matrix(5,2,12,5) Matrix(6337,10890,3918,6733) -> Matrix(1,-2,4,-7) Matrix(923,1584,384,659) -> Matrix(3,4,8,11) Matrix(562,957,175,298) -> Matrix(1,0,0,1) Matrix(98,165,19,32) -> Matrix(1,0,0,1) Matrix(199,330,120,199) -> Matrix(3,-2,8,-5) Matrix(1121,1848,680,1121) -> Matrix(21,-22,64,-67) Matrix(1123,1848,522,859) -> Matrix(5,-6,16,-19) Matrix(923,1518,802,1319) -> Matrix(5,-6,16,-19) Matrix(4322,7095,2673,4388) -> Matrix(5,-6,16,-19) Matrix(2575,4224,926,1519) -> Matrix(1,-2,4,-7) Matrix(1453,2376,1050,1717) -> Matrix(1,-2,8,-15) Matrix(6766,11055,4141,6766) -> Matrix(1,-4,4,-15) Matrix(1253,2046,444,725) -> Matrix(3,-2,8,-5) Matrix(628,1023,345,562) -> Matrix(9,-10,28,-31) Matrix(529,858,82,133) -> Matrix(5,-8,12,-19) Matrix(1385,2244,366,593) -> Matrix(3,-4,4,-5) Matrix(4487,7260,2610,4223) -> Matrix(1,-2,8,-15) Matrix(857,1386,-776,-1255) -> Matrix(1,-2,0,1) Matrix(5776,9339,1613,2608) -> Matrix(5,-8,12,-19) Matrix(430,693,103,166) -> Matrix(1,-2,8,-15) Matrix(2705,4356,1024,1649) -> Matrix(1,-2,20,-39) Matrix(2707,4356,1026,1651) -> Matrix(1,-2,-12,25) Matrix(1222,1947,477,760) -> Matrix(5,-12,8,-19) Matrix(1682,2673,1183,1880) -> Matrix(11,-36,48,-157) Matrix(1123,1782,-956,-1517) -> Matrix(1,-4,4,-15) Matrix(4058,6435,1685,2672) -> Matrix(3,-8,8,-21) Matrix(2707,4290,1958,3103) -> Matrix(1,-4,8,-31) Matrix(230,363,-147,-232) -> Matrix(1,-6,0,1) Matrix(956,1485,403,626) -> Matrix(7,8,20,23) Matrix(1321,2046,512,793) -> Matrix(3,2,4,3) Matrix(364,561,279,430) -> Matrix(1,2,4,9) Matrix(428,627,157,230) -> Matrix(1,-2,4,-7) Matrix(298,429,207,298) -> Matrix(1,-8,4,-31) Matrix(1880,2673,1183,1682) -> Matrix(13,36,48,133) Matrix(628,891,117,166) -> Matrix(1,2,0,1) Matrix(3068,4257,1783,2474) -> Matrix(3,2,16,11) Matrix(1717,2376,1050,1453) -> Matrix(7,2,24,7) Matrix(3103,4290,1958,2707) -> Matrix(15,4,56,15) Matrix(1552,2145,-1217,-1682) -> Matrix(1,0,0,1) Matrix(527,726,-384,-529) -> Matrix(1,0,8,1) Matrix(892,1221,507,694) -> Matrix(9,-2,32,-7) Matrix(362,495,313,428) -> Matrix(1,0,0,1) Matrix(727,990,340,463) -> Matrix(3,-2,8,-5) Matrix(5312,7227,2061,2804) -> Matrix(5,-2,8,-3) Matrix(1651,2244,632,859) -> Matrix(1,0,0,1) Matrix(560,759,121,164) -> Matrix(7,-4,16,-9) Matrix(430,561,279,364) -> Matrix(1,2,4,9) Matrix(230,297,127,164) -> Matrix(5,4,16,13) Matrix(463,594,258,331) -> Matrix(7,2,24,7) Matrix(2839,3630,1188,1519) -> Matrix(17,6,48,17) Matrix(727,924,572,727) -> Matrix(1,0,16,1) Matrix(989,1254,780,989) -> Matrix(1,0,-12,1) Matrix(496,627,-443,-560) -> Matrix(1,0,-4,1) Matrix(758,957,339,428) -> Matrix(1,0,0,1) Matrix(1123,1386,696,859) -> Matrix(7,-12,24,-41) Matrix(296,363,-243,-298) -> Matrix(1,-4,0,1) Matrix(626,759,353,428) -> Matrix(1,0,4,1) Matrix(725,858,278,329) -> Matrix(1,0,4,1) Matrix(727,858,616,727) -> Matrix(1,0,12,1) Matrix(1121,1320,952,1121) -> Matrix(1,0,-8,1) Matrix(395,462,112,131) -> Matrix(3,-2,8,-5) Matrix(428,495,313,362) -> Matrix(1,0,0,1) Matrix(725,792,422,461) -> Matrix(1,0,4,1) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(1255,-1386,776,-857) -> Matrix(9,-2,32,-7) Matrix(562,-627,147,-164) -> Matrix(5,-2,8,-3) Matrix(496,-561,145,-164) -> Matrix(9,-2,32,-7) Matrix(1517,-1782,956,-1123) -> Matrix(1,-4,4,-15) Matrix(694,-825,249,-296) -> Matrix(11,-2,28,-5) Matrix(1255,-1518,272,-329) -> Matrix(37,-8,88,-19) Matrix(298,-363,243,-296) -> Matrix(17,-4,64,-15) Matrix(562,-693,133,-164) -> Matrix(7,-2,32,-9) Matrix(1387,-1716,586,-725) -> Matrix(37,-12,108,-35) Matrix(263,-330,106,-133) -> Matrix(3,-2,8,-5) Matrix(991,-1254,260,-329) -> Matrix(3,2,4,3) Matrix(1682,-2145,1217,-1552) -> Matrix(1,0,0,1) Matrix(956,-1221,285,-364) -> Matrix(1,0,-4,1) Matrix(2837,-3630,1084,-1387) -> Matrix(1,0,-4,1) Matrix(232,-297,25,-32) -> Matrix(1,0,-4,1) Matrix(661,-858,406,-527) -> Matrix(29,-6,92,-19) Matrix(428,-561,177,-232) -> Matrix(35,-8,92,-21) Matrix(1123,-1518,634,-857) -> Matrix(11,-4,36,-13) Matrix(3299,-4488,874,-1189) -> Matrix(5,-2,8,-3) Matrix(3466,-4719,2011,-2738) -> Matrix(7,-2,32,-9) Matrix(2344,-3201,1425,-1946) -> Matrix(5,-6,16,-19) Matrix(1618,-2211,603,-824) -> Matrix(1,-2,4,-7) Matrix(529,-726,384,-527) -> Matrix(1,0,8,1) Matrix(9899,-13662,2870,-3961) -> Matrix(1,0,-4,1) Matrix(3466,-4785,1553,-2144) -> Matrix(1,0,-4,1) Matrix(857,-1188,334,-463) -> Matrix(13,-2,20,-3) Matrix(166,-231,23,-32) -> Matrix(1,0,-4,1) Matrix(164,-231,71,-100) -> Matrix(9,-2,32,-7) Matrix(791,-1122,466,-661) -> Matrix(9,-2,32,-7) Matrix(17192,-24453,6381,-9076) -> Matrix(451,-104,1340,-309) Matrix(13432,-19107,4987,-7094) -> Matrix(329,-76,1000,-231) Matrix(626,-891,163,-232) -> Matrix(43,-10,56,-13) Matrix(760,-1089,529,-758) -> Matrix(81,-20,320,-79) Matrix(296,-429,69,-100) -> Matrix(7,-2,32,-9) Matrix(494,-759,151,-232) -> Matrix(1,0,-4,1) Matrix(3233,-5016,2000,-3103) -> Matrix(9,-2,32,-7) Matrix(232,-363,147,-230) -> Matrix(25,-6,96,-23) Matrix(5182,-8217,3017,-4784) -> Matrix(15,-4,64,-17) Matrix(5147,-8184,1910,-3037) -> Matrix(169,-46,496,-135) Matrix(1783,-2838,1036,-1649) -> Matrix(29,-8,156,-43) Matrix(329,-528,124,-199) -> Matrix(7,-2,32,-9) Matrix(2243,-3630,490,-793) -> Matrix(13,-4,36,-11) Matrix(1486,-2409,549,-890) -> Matrix(7,-2,4,-1) Matrix(1880,-3069,789,-1288) -> Matrix(13,-4,36,-11) Matrix(16666,-27225,10201,-16664) -> Matrix(17,-4,64,-15) Matrix(725,-1188,202,-331) -> Matrix(33,-10,76,-23) Matrix(560,-957,213,-364) -> Matrix(1,0,-4,1) Matrix(1090,-1881,401,-692) -> Matrix(9,-2,32,-7) Matrix(628,-1089,361,-626) -> Matrix(41,-10,160,-39) Matrix(2078,-3663,843,-1486) -> Matrix(13,-4,36,-11) Matrix(3629,-6402,1310,-2311) -> Matrix(13,-4,36,-11) Matrix(593,-1056,260,-463) -> Matrix(7,-2,32,-9) Matrix(560,-1023,127,-232) -> Matrix(37,-12,108,-35) Matrix(232,-429,53,-98) -> Matrix(11,-4,36,-13) Matrix(230,-429,89,-166) -> Matrix(5,-2,8,-3) Matrix(1253,-2706,520,-1123) -> Matrix(47,-18,128,-49) Matrix(166,-363,75,-164) -> Matrix(5,-2,8,-3) Matrix(430,-957,133,-296) -> Matrix(1,0,0,1) Matrix(628,-1485,181,-428) -> Matrix(35,-12,108,-37) Matrix(4289,-10164,1198,-2839) -> Matrix(75,-26,176,-61) Matrix(1189,-2838,442,-1055) -> Matrix(23,-8,72,-25) Matrix(4060,-9801,1681,-4058) -> Matrix(385,-144,1024,-383) Matrix(230,-561,41,-100) -> Matrix(5,-2,28,-11) Matrix(364,-891,67,-164) -> Matrix(5,-2,-12,5) Matrix(430,-1089,169,-428) -> Matrix(29,-14,56,-27) Matrix(11252,-29007,2983,-7690) -> Matrix(25,-16,36,-23) Matrix(5644,-14553,1497,-3860) -> Matrix(23,-16,36,-25) Matrix(3466,-9075,1323,-3464) -> Matrix(5,-2,8,-3) Matrix(1750,-4719,379,-1022) -> Matrix(39,-14,92,-33) Matrix(265,-726,96,-263) -> Matrix(13,-4,36,-11) Matrix(6073,-16830,1762,-4883) -> Matrix(1,0,0,1) Matrix(34,-99,11,-32) -> Matrix(5,-2,8,-3) Matrix(8086,-27225,2401,-8084) -> Matrix(9,-2,32,-7) Matrix(166,-561,29,-98) -> Matrix(1,0,0,1) Matrix(2872,-9801,841,-2870) -> Matrix(33,-8,128,-31) Matrix(298,-1023,67,-230) -> Matrix(13,-4,36,-11) Matrix(15478,-53361,4489,-15476) -> Matrix(5,-2,8,-3) Matrix(100,-363,27,-98) -> Matrix(13,-6,24,-11) Matrix(232,-1089,49,-230) -> Matrix(29,-14,56,-27) Matrix(166,-1089,25,-164) -> Matrix(21,-10,40,-19) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 12 Minimal number of generators: 3 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: 4 Genus: 0 Degree of H/liftables -> H/(image of liftables): 40 Imminent integer overflow caused the modular group computation to abort.