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 2/1 1/0 -9/1 1/2 1/0 -17/2 2/1 1/0 -8/1 -2/1 1/0 -23/3 0/1 1/0 -15/2 -1/2 -22/3 0/1 -7/1 -1/1 1/0 -20/3 -1/6 0/1 -33/5 0/1 -13/2 0/1 1/4 -19/3 1/2 2/3 -25/4 0/1 1/0 -31/5 1/1 1/0 -6/1 1/2 1/0 -23/4 3/2 2/1 -40/7 3/1 1/0 -17/3 2/1 1/0 -28/5 3/1 7/2 -11/2 1/0 -38/7 -5/1 -9/2 -65/12 -4/1 1/0 -27/5 -7/2 1/0 -16/3 -2/1 1/0 -21/4 -3/2 -5/1 -1/1 -1/2 -29/6 -1/4 0/1 -24/5 -1/2 -1/4 -19/4 -1/8 0/1 -33/7 0/1 -14/3 0/1 1/6 -65/14 0/1 1/4 -51/11 1/4 1/2 -37/8 0/1 1/4 -23/5 0/1 1/4 -32/7 0/1 1/2 -9/2 1/2 -40/9 5/7 3/4 -31/7 3/4 1/1 -22/5 1/1 -13/3 3/2 2/1 -30/7 5/2 1/0 -17/4 2/1 1/0 -21/5 7/2 1/0 -46/11 4/1 9/2 -25/6 6/1 1/0 -4/1 -2/1 1/0 -23/6 -2/3 -1/2 -19/5 -1/2 -2/5 -34/9 -1/2 0/1 -49/13 0/1 1/0 -15/4 -1/2 -71/19 -5/14 -1/3 -56/15 -1/4 0/1 -97/26 -5/14 -1/3 -41/11 -2/7 -1/4 -67/18 -1/4 0/1 -93/25 -1/4 -1/6 -26/7 -1/3 -1/4 -11/3 0/1 -40/11 1/5 1/4 -69/19 1/4 1/2 -98/27 0/1 1/2 -29/8 0/1 1/4 -47/13 0/1 1/6 -65/18 0/1 1/4 -18/5 1/4 1/2 -25/7 0/1 1/0 -32/9 0/1 1/2 -39/11 1/4 1/2 -7/2 1/2 1/1 -38/11 7/5 3/2 -69/20 3/2 -31/9 1/1 1/0 -24/7 3/2 1/0 -65/19 3/2 2/1 -41/12 7/4 2/1 -99/29 2/1 -58/17 2/1 9/4 -17/5 2/1 1/0 -27/8 5/2 -64/19 35/12 3/1 -165/49 3/1 -101/30 3/1 55/18 -37/11 13/4 10/3 -10/3 6/1 1/0 -33/10 1/0 -23/7 -14/1 1/0 -36/11 -15/2 1/0 -13/4 -4/1 1/0 -29/9 -9/4 -2/1 -16/5 -2/1 1/0 -19/6 -2/1 1/0 -22/7 -1/1 -25/8 0/1 1/0 -3/1 -1/2 1/0 -26/9 1/1 1/0 -23/8 -1/2 0/1 -20/7 0/1 1/2 -17/6 0/1 1/0 -31/11 1/1 1/0 -45/16 1/2 -59/21 7/8 1/1 -14/5 3/2 2/1 -67/24 2/1 1/0 -53/19 3/2 2/1 -92/33 9/4 7/3 -39/14 5/2 -64/23 3/1 25/8 -25/9 4/1 1/0 -11/4 1/0 -41/15 -8/1 1/0 -112/41 -15/2 -22/3 -71/26 -7/1 -13/2 -101/37 -7/1 1/0 -30/11 -13/2 1/0 -49/18 -6/1 1/0 -68/25 -5/1 1/0 -19/7 -9/2 -4/1 -65/24 -4/1 1/0 -176/65 -4/1 -111/41 -7/2 1/0 -46/17 -9/2 -4/1 -73/27 -15/4 -11/3 -27/10 -7/2 -62/23 -22/7 -25/8 -35/13 -3/1 -23/8 -8/3 -2/1 1/0 -29/11 -2/1 -15/8 -50/19 -2/1 -7/4 -21/8 -3/2 -97/37 -1/1 1/0 -76/29 0/1 1/0 -131/50 -2/1 1/0 -55/21 -2/1 -34/13 -2/1 -3/2 -47/18 -2/1 -7/4 -13/5 -3/2 -4/3 -44/17 -1/1 -31/12 -3/2 -1/1 -49/19 0/1 1/0 -165/64 1/0 -116/45 -4/1 1/0 -67/26 -2/1 1/0 -18/7 -3/2 1/0 -23/9 -5/4 -6/5 -51/20 -7/6 -28/11 -11/10 -1/1 -33/13 -1/1 -5/2 -1/1 -1/2 -32/13 -1/2 0/1 -27/11 -1/2 -1/4 -22/9 0/1 -39/16 1/2 -17/7 0/1 1/0 -46/19 -1/2 0/1 -29/12 -1/4 0/1 -99/41 0/1 -70/29 0/1 1/12 -41/17 0/1 1/4 -53/22 0/1 1/0 -65/27 0/1 1/2 -12/5 1/2 1/0 -67/28 0/1 1/0 -55/23 0/1 -43/18 0/1 1/2 -74/31 2/3 3/4 -31/13 1/1 5/4 -81/34 3/2 -131/55 3/2 2/1 -50/21 2/1 1/0 -19/8 2/1 1/0 -64/27 11/4 3/1 -45/19 7/2 1/0 -26/11 7/1 1/0 -33/14 1/0 -7/3 -3/1 1/0 -44/19 -2/1 -37/16 -2/1 1/0 -67/29 -2/1 -3/2 -30/13 -3/2 1/0 -23/10 -2/1 -3/2 -62/27 -5/4 -6/5 -39/17 -1/2 1/0 -16/7 -2/1 1/0 -25/11 -2/1 -7/4 -34/15 -2/1 -3/2 -9/4 -3/2 -47/21 -19/14 -4/3 -38/17 -13/10 -9/7 -67/30 -4/3 -5/4 -29/13 -14/11 -5/4 -20/9 -6/5 -7/6 -71/32 -11/10 -1/1 -51/23 -7/6 -9/8 -31/14 -7/6 -1/1 -11/5 -1/1 -24/11 -7/8 -5/6 -37/17 -13/16 -4/5 -13/6 -3/4 -2/3 -41/19 -2/3 -5/8 -28/13 -5/9 -1/2 -15/7 -1/2 1/0 -17/8 0/1 1/0 -2/1 -1/1 1/0 -17/9 -3/4 -2/3 -15/8 -1/2 -28/15 -1/1 -5/6 -13/7 -2/3 -1/2 -24/13 -5/8 -1/2 -11/6 -1/2 -42/23 -1/2 -3/8 -31/17 -3/8 -1/3 -51/28 -1/2 -71/39 -1/3 -3/10 -20/11 -1/2 0/1 -29/16 0/1 1/0 -67/37 -1/2 0/1 -38/21 -1/2 -1/3 -85/47 -1/10 0/1 -132/73 0/1 -47/26 0/1 1/4 -9/5 -1/2 1/0 -34/19 -1/2 0/1 -25/14 -1/4 0/1 -66/37 0/1 -41/23 0/1 1/4 -16/9 0/1 1/0 -39/22 1/2 -23/13 4/1 1/0 -30/17 -5/2 1/0 -97/55 -3/1 1/0 -67/38 -2/1 1/0 -37/21 -4/1 1/0 -7/4 -3/2 -1/1 -33/19 -1/1 -26/15 -1/1 -15/16 -71/41 -1/1 -13/14 -45/26 -9/10 -64/37 -1/1 -7/8 -19/11 -6/7 -5/6 -50/29 -4/5 -3/4 -131/76 -3/4 -2/3 -81/47 -3/4 -1/2 -31/18 -1/1 -1/2 -43/25 -7/8 -6/7 -55/32 -5/6 -67/39 -5/6 -4/5 -12/7 -5/6 -3/4 -65/38 -4/5 -3/4 -53/31 -4/5 -11/14 -94/55 -7/9 -17/22 -41/24 -10/13 -3/4 -70/41 -34/45 -3/4 -99/58 -3/4 -29/17 -3/4 -14/19 -46/27 -7/10 -2/3 -17/10 -3/4 -2/3 -22/13 -2/3 -27/16 -1/2 -32/19 -2/3 -1/2 -37/22 -3/4 -2/3 -5/3 -3/5 -1/2 -33/20 -1/2 -28/17 -1/2 -11/23 -51/31 -1/2 -13/28 -23/14 -1/2 -4/9 -110/67 -4/9 -87/53 -1/2 -7/16 -64/39 -19/44 -3/7 -41/25 -5/12 -2/5 -18/11 -1/2 -3/8 -67/41 -1/2 -2/5 -116/71 -5/12 -2/5 -165/101 -2/5 -49/30 -2/5 -3/8 -31/19 -3/8 -1/3 -13/8 -1/4 0/1 -47/29 -2/3 -1/2 -34/21 -1/2 0/1 -89/55 0/1 1/0 -55/34 -1/2 -76/47 -2/5 -3/8 -21/13 -1/2 -1/4 -50/31 -1/4 0/1 -29/18 -1/8 0/1 -66/41 0/1 -37/23 0/1 1/8 -8/5 0/1 1/0 -43/27 -2/1 1/0 -35/22 -7/6 -1/1 -132/83 -1/1 -97/61 -1/1 -23/24 -62/39 -8/9 -7/8 -27/17 -3/4 -1/2 -46/29 -1/2 -2/5 -111/70 -1/2 -176/111 0/1 -65/41 -1/2 0/1 -19/12 0/1 1/0 -68/43 -1/1 -3/4 -49/31 0/1 1/0 -30/19 -3/2 1/0 -11/7 -1/1 -36/23 -3/4 -1/2 -133/85 -2/3 -1/2 -97/62 -1/1 -1/2 -61/39 -1/1 -1/2 -86/55 -5/6 -4/5 -25/16 -3/4 -2/3 -64/41 -1/1 -3/4 -39/25 -3/4 -1/2 -92/59 -3/4 -5/7 -145/93 -15/22 -2/3 -198/127 -2/3 -53/34 -2/3 -5/8 -67/43 -2/3 -1/2 -14/9 -1/2 0/1 -73/47 -9/8 -1/1 -132/85 -1/1 -59/38 -1/1 -9/10 -45/29 -3/4 -1/2 -76/49 0/1 1/0 -31/20 -1/1 -5/6 -17/11 -3/4 -2/3 -20/13 -2/3 -1/2 -43/28 -7/10 -2/3 -66/43 -2/3 -23/15 -2/3 -5/8 -3/2 -1/2 -28/19 -1/1 -1/2 -25/17 -2/5 -3/8 -22/15 -1/3 -41/28 -1/4 0/1 -19/13 -1/2 -2/5 -16/11 -1/4 0/1 -29/20 0/1 1/0 -42/29 -1/2 1/0 -13/9 -1/2 0/1 -36/25 -1/4 -1/6 -23/16 -1/6 0/1 -33/23 0/1 -10/7 0/1 1/0 -47/33 0/1 1/2 -37/26 0/1 1/0 -101/71 1/1 1/0 -165/116 1/0 -64/45 -1/1 1/0 -27/19 -1/2 1/0 -44/31 0/1 -17/12 0/1 1/0 -58/41 4/1 1/0 -99/70 1/0 -41/29 -4/1 1/0 -65/46 -2/1 1/0 -24/17 -3/2 1/0 -55/39 -1/1 -31/22 -1/1 -1/2 -131/93 -2/3 -1/2 -231/164 -1/2 -100/71 -1/2 0/1 -69/49 -1/2 1/0 -107/76 0/1 1/0 -38/27 -1/1 -1/2 -7/5 -1/1 -3/4 -39/28 -1/2 -32/23 -2/3 -1/2 -25/18 -2/3 -5/8 -68/49 -5/8 -3/5 -111/80 -1/2 -154/111 -2/3 -43/31 -5/8 -8/13 -18/13 -7/12 -1/2 -65/47 -4/7 -1/2 -47/34 -7/12 -4/7 -123/89 -17/30 -9/16 -76/55 -22/39 -9/16 -29/21 -11/20 -6/11 -11/8 -1/2 -37/27 -13/28 -6/13 -100/73 -1/2 -6/13 -363/265 -6/13 -263/192 -6/13 -11/24 -163/119 -11/24 -5/11 -63/46 -1/2 -26/19 -5/11 -9/20 -93/68 -1/2 -67/49 -1/2 -4/9 -41/30 -4/9 -7/16 -97/71 -7/16 -3/7 -56/41 -7/16 -10/23 -127/93 -25/58 -3/7 -198/145 -3/7 -71/52 -3/7 -11/26 -15/11 -1/2 -5/12 -49/36 -5/12 -2/5 -132/97 -2/5 -83/61 -2/5 -3/8 -34/25 -1/2 -2/5 -19/14 -5/12 -2/5 -42/31 -7/18 -3/8 -65/48 -2/5 -3/8 -88/65 -2/5 -23/17 -8/21 -3/8 -27/20 -5/14 -4/3 -1/4 0/1 -25/19 0/1 1/4 -46/35 2/5 1/2 -21/16 1/2 -59/45 1/1 5/4 -38/29 1/1 3/2 -17/13 0/1 1/0 -30/23 3/2 1/0 -13/10 -2/1 1/0 -35/27 -5/4 -1/1 -22/17 -1/1 -31/24 -1/1 -5/6 -71/55 -1/1 -5/6 -40/31 -1/1 -7/8 -9/7 -3/4 -1/2 -32/25 -2/3 -1/2 -55/43 -2/3 -23/18 -2/3 -1/2 -60/47 -5/8 -11/18 -97/76 -35/58 -3/5 -37/29 -10/17 -7/12 -88/69 -4/7 -51/40 -1/2 -65/51 -4/7 -1/2 -14/11 -6/11 -1/2 -33/26 -1/2 -19/15 -1/2 -8/17 -43/34 -1/2 -4/9 -110/87 -4/9 -67/53 -1/2 -4/9 -24/19 -1/2 -7/16 -29/23 -2/5 -3/8 -34/27 -1/2 -2/5 -5/4 -1/2 -1/3 -31/25 -1/3 -1/4 -26/21 -3/11 -1/4 -21/17 -1/4 -1/6 -16/13 -1/4 0/1 -27/22 -1/6 -11/9 0/1 -39/32 1/2 -67/55 0/1 1/2 -28/23 1/3 1/2 -73/60 5/6 1/1 -45/37 3/2 1/0 -17/14 0/1 1/0 -57/47 -3/2 1/0 -40/33 -1/1 -3/4 -63/52 -1/2 -23/19 0/1 1/0 -29/24 0/1 1/0 -35/29 -1/1 1/0 -6/5 -1/2 1/0 -31/26 -1/1 -9/10 -25/21 -3/4 -2/3 -44/37 -1/1 -19/16 -3/4 -2/3 -13/11 -4/7 -1/2 -33/28 -1/2 -20/17 -1/2 -6/13 -27/23 -1/2 -5/12 -7/6 -1/2 -1/3 -29/25 -1/4 -2/9 -22/19 0/1 -37/32 0/1 1/0 -15/13 -1/2 1/0 -23/20 -1/2 -2/5 -8/7 -1/4 0/1 -17/15 0/1 1/0 -26/23 1/1 1/0 -9/8 -1/2 -19/17 0/1 1/2 -10/9 0/1 1/0 -11/10 -1/2 -1/1 -1/2 0/1 0/1 0/1 1/1 0/1 1/2 10/9 0/1 1/0 9/8 1/2 17/15 0/1 1/0 8/7 0/1 1/4 23/20 2/5 1/2 15/13 1/2 1/0 22/19 0/1 7/6 1/3 1/2 20/17 6/13 1/2 33/28 1/2 13/11 1/2 4/7 19/16 2/3 3/4 25/21 2/3 3/4 31/26 9/10 1/1 6/5 1/2 1/0 23/19 0/1 1/0 40/33 3/4 1/1 17/14 0/1 1/0 28/23 -1/2 -1/3 11/9 0/1 38/31 1/6 1/5 65/53 0/1 1/6 27/22 1/6 16/13 0/1 1/4 21/17 1/6 1/4 5/4 1/3 1/2 29/23 3/8 2/5 24/19 7/16 1/2 19/15 8/17 1/2 33/26 1/2 14/11 1/2 6/11 65/51 1/2 4/7 51/40 1/2 37/29 7/12 10/17 23/18 1/2 2/3 32/25 1/2 2/3 9/7 1/2 3/4 40/31 7/8 1/1 31/24 5/6 1/1 22/17 1/1 13/10 2/1 1/0 30/23 -3/2 1/0 17/13 0/1 1/0 21/16 -1/2 46/35 -1/2 -2/5 25/19 -1/4 0/1 4/3 0/1 1/4 23/17 3/8 8/21 19/14 2/5 5/12 34/25 2/5 1/2 49/36 2/5 5/12 15/11 5/12 1/2 71/52 11/26 3/7 56/41 10/23 7/16 97/71 3/7 7/16 41/30 7/16 4/9 67/49 4/9 1/2 93/68 1/2 26/19 9/20 5/11 11/8 1/2 40/29 15/28 7/13 69/50 1/2 98/71 1/2 6/11 29/21 6/11 11/20 47/34 4/7 7/12 65/47 1/2 4/7 18/13 1/2 7/12 25/18 5/8 2/3 32/23 1/2 2/3 39/28 1/2 7/5 3/4 1/1 38/27 1/2 1/1 69/49 1/2 1/0 31/22 1/2 1/1 24/17 3/2 1/0 65/46 2/1 1/0 41/29 4/1 1/0 99/70 1/0 58/41 -4/1 1/0 17/12 0/1 1/0 27/19 1/2 1/0 64/45 1/1 1/0 165/116 1/0 101/71 -1/1 1/0 37/26 0/1 1/0 10/7 0/1 1/0 33/23 0/1 23/16 0/1 1/6 36/25 1/6 1/4 13/9 0/1 1/2 29/20 0/1 1/0 16/11 0/1 1/4 19/13 2/5 1/2 22/15 1/3 25/17 3/8 2/5 3/2 1/2 26/17 7/12 3/5 23/15 5/8 2/3 20/13 1/2 2/3 17/11 2/3 3/4 31/20 5/6 1/1 45/29 1/2 3/4 59/38 9/10 1/1 14/9 0/1 1/2 67/43 1/2 2/3 53/34 5/8 2/3 92/59 5/7 3/4 39/25 1/2 3/4 64/41 3/4 1/1 25/16 2/3 3/4 11/7 1/1 41/26 2/1 1/0 112/71 0/1 1/2 71/45 1/1 3/2 101/64 1/1 3/2 30/19 3/2 1/0 49/31 0/1 1/0 68/43 3/4 1/1 19/12 0/1 1/0 65/41 0/1 1/2 176/111 0/1 111/70 1/2 46/29 2/5 1/2 73/46 1/2 3/5 27/17 1/2 3/4 62/39 7/8 8/9 35/22 1/1 7/6 8/5 0/1 1/0 29/18 0/1 1/8 50/31 0/1 1/4 21/13 1/4 1/2 97/60 3/10 1/3 76/47 3/8 2/5 131/81 2/5 1/2 55/34 1/2 34/21 0/1 1/2 47/29 1/2 2/3 13/8 0/1 1/4 44/27 1/3 31/19 1/3 3/8 49/30 3/8 2/5 165/101 2/5 116/71 2/5 5/12 67/41 2/5 1/2 18/11 3/8 1/2 23/14 4/9 1/2 51/31 13/28 1/2 28/17 11/23 1/2 33/20 1/2 5/3 1/2 3/5 32/19 1/2 2/3 27/16 1/2 22/13 2/3 39/23 7/10 3/4 17/10 2/3 3/4 46/27 2/3 7/10 29/17 14/19 3/4 99/58 3/4 70/41 3/4 34/45 41/24 3/4 10/13 53/31 11/14 4/5 65/38 3/4 4/5 12/7 3/4 5/6 67/39 4/5 5/6 55/32 5/6 43/25 6/7 7/8 74/43 7/8 8/9 31/18 1/2 1/1 81/47 1/2 3/4 131/76 2/3 3/4 50/29 3/4 4/5 19/11 5/6 6/7 64/37 7/8 1/1 45/26 9/10 26/15 15/16 1/1 33/19 1/1 7/4 1/1 3/2 44/25 2/1 37/21 4/1 1/0 67/38 2/1 1/0 30/17 5/2 1/0 23/13 -4/1 1/0 62/35 -4/3 -5/4 39/22 -1/2 16/9 0/1 1/0 25/14 0/1 1/4 34/19 0/1 1/2 9/5 1/2 1/0 47/26 -1/4 0/1 38/21 1/3 1/2 67/37 0/1 1/2 29/16 0/1 1/0 20/11 0/1 1/2 71/39 3/10 1/3 51/28 1/2 31/17 1/3 3/8 11/6 1/2 24/13 1/2 5/8 37/20 5/8 2/3 13/7 1/2 2/3 41/22 3/4 4/5 28/15 5/6 1/1 15/8 1/2 17/9 2/3 3/4 2/1 1/1 1/0 17/8 0/1 1/0 15/7 1/2 1/0 28/13 1/2 5/9 13/6 2/3 3/4 24/11 5/6 7/8 11/5 1/1 42/19 11/10 9/8 31/14 1/1 7/6 51/23 9/8 7/6 71/32 1/1 11/10 20/9 7/6 6/5 29/13 5/4 14/11 67/30 5/4 4/3 38/17 9/7 13/10 85/38 37/28 4/3 132/59 4/3 47/21 4/3 19/14 9/4 3/2 34/15 3/2 2/1 25/11 7/4 2/1 66/29 2/1 41/18 2/1 9/4 16/7 2/1 1/0 39/17 1/2 1/0 23/10 3/2 2/1 30/13 3/2 1/0 97/42 1/1 3/2 67/29 3/2 2/1 37/16 2/1 1/0 7/3 3/1 1/0 33/14 1/0 26/11 -7/1 1/0 71/30 -5/1 -9/2 45/19 -7/2 1/0 64/27 -3/1 -11/4 19/8 -2/1 1/0 50/21 -2/1 1/0 131/55 -2/1 -3/2 81/34 -3/2 31/13 -5/4 -1/1 43/18 -1/2 0/1 55/23 0/1 67/28 0/1 1/0 12/5 -1/2 1/0 65/27 -1/2 0/1 53/22 0/1 1/0 94/39 -1/2 -3/7 41/17 -1/4 0/1 70/29 -1/12 0/1 99/41 0/1 29/12 0/1 1/4 46/19 0/1 1/2 17/7 0/1 1/0 22/9 0/1 27/11 1/4 1/2 32/13 0/1 1/2 37/15 0/1 1/0 5/2 1/2 1/1 33/13 1/1 28/11 1/1 11/10 51/20 7/6 23/9 6/5 5/4 110/43 4/3 87/34 3/2 64/25 1/1 5/4 41/16 5/4 4/3 18/7 3/2 1/0 67/26 2/1 1/0 116/45 4/1 1/0 165/64 1/0 49/19 0/1 1/0 31/12 1/1 3/2 13/5 4/3 3/2 47/18 7/4 2/1 34/13 3/2 2/1 89/34 3/2 2/1 55/21 2/1 76/29 0/1 1/0 21/8 3/2 50/19 7/4 2/1 29/11 15/8 2/1 66/25 2/1 37/14 2/1 17/8 8/3 2/1 1/0 43/16 5/2 8/3 35/13 23/8 3/1 132/49 3/1 97/36 3/1 67/22 62/23 25/8 22/7 27/10 7/2 46/17 4/1 9/2 111/41 7/2 1/0 176/65 4/1 65/24 4/1 1/0 19/7 4/1 9/2 68/25 5/1 1/0 49/18 6/1 1/0 30/11 13/2 1/0 11/4 1/0 36/13 -11/2 1/0 133/48 -6/1 1/0 97/35 -5/1 1/0 61/22 -11/2 -5/1 86/31 -14/3 -9/2 25/9 -4/1 1/0 64/23 -25/8 -3/1 39/14 -5/2 92/33 -7/3 -9/4 145/52 -17/8 -2/1 198/71 -2/1 53/19 -2/1 -3/2 67/24 -2/1 1/0 14/5 -2/1 -3/2 73/26 -11/10 -1/1 132/47 -1/1 59/21 -1/1 -7/8 45/16 -1/2 76/27 -2/1 1/0 31/11 -1/1 1/0 17/6 0/1 1/0 20/7 -1/2 0/1 43/15 -1/4 0/1 66/23 0/1 23/8 0/1 1/2 3/1 1/2 1/0 28/9 1/2 1/1 25/8 0/1 1/0 22/7 1/1 41/13 2/1 1/0 19/6 2/1 1/0 16/5 2/1 1/0 29/9 2/1 9/4 42/13 5/2 11/4 13/4 4/1 1/0 36/11 15/2 1/0 23/7 14/1 1/0 33/10 1/0 10/3 -6/1 1/0 47/14 -4/1 -15/4 37/11 -10/3 -13/4 101/30 -55/18 -3/1 165/49 -3/1 64/19 -3/1 -35/12 27/8 -5/2 44/13 -2/1 17/5 -2/1 1/0 58/17 -9/4 -2/1 99/29 -2/1 41/12 -2/1 -7/4 65/19 -2/1 -3/2 24/7 -3/2 1/0 55/16 -3/2 31/9 -1/1 1/0 131/38 -2/1 1/0 231/67 -2/1 100/29 -2/1 -3/2 69/20 -3/2 107/31 -2/1 1/0 38/11 -3/2 -7/5 7/2 -1/1 -1/2 39/11 -1/2 -1/4 32/9 -1/2 0/1 25/7 0/1 1/0 68/19 -1/1 -7/8 111/31 -3/4 -1/2 154/43 -2/3 43/12 -2/3 -1/2 18/5 -1/2 -1/4 65/18 -1/4 0/1 47/13 -1/6 0/1 123/34 -1/2 76/21 -1/4 0/1 29/8 -1/4 0/1 11/3 0/1 37/10 0/1 1/4 100/27 0/1 1/6 363/98 1/6 263/71 1/6 2/11 163/44 1/6 1/5 63/17 1/6 1/4 26/7 1/4 1/3 93/25 1/6 1/4 67/18 0/1 1/4 41/11 1/4 2/7 97/26 1/3 5/14 56/15 0/1 1/4 127/34 7/22 1/3 198/53 1/3 71/19 1/3 5/14 15/4 1/2 49/13 0/1 1/0 132/35 0/1 83/22 0/1 1/4 34/9 0/1 1/2 19/5 2/5 1/2 42/11 1/2 5/8 65/17 1/2 2/3 88/23 2/3 23/6 1/2 2/3 27/7 3/4 5/6 4/1 2/1 1/0 25/6 -6/1 1/0 46/11 -9/2 -4/1 21/5 -7/2 1/0 59/14 -3/1 -17/6 38/9 -5/2 -7/3 17/4 -2/1 1/0 30/7 -5/2 1/0 13/3 -2/1 -3/2 35/8 -3/2 -1/1 22/5 -1/1 31/7 -1/1 -3/4 71/16 -1/1 -5/6 40/9 -3/4 -5/7 9/2 -1/2 32/7 -1/2 0/1 55/12 -1/2 23/5 -1/4 0/1 60/13 -1/2 -1/4 97/21 -1/3 -1/4 37/8 -1/4 0/1 88/19 0/1 51/11 -1/2 -1/4 65/14 -1/4 0/1 14/3 -1/6 0/1 33/7 0/1 19/4 0/1 1/8 43/9 1/4 2/7 110/23 0/1 67/14 0/1 1/4 24/5 1/4 1/2 29/6 0/1 1/4 34/7 0/1 1/2 5/1 1/2 1/1 31/6 1/2 1/1 26/5 3/4 1/1 21/4 3/2 16/3 2/1 1/0 27/5 7/2 1/0 11/2 1/0 39/7 -9/2 1/0 67/12 -4/1 1/0 28/5 -7/2 -3/1 73/13 -13/4 -3/1 45/8 -5/2 17/3 -2/1 1/0 57/10 -3/2 40/7 -3/1 1/0 63/11 -3/2 1/0 23/4 -2/1 -3/2 29/5 -5/4 -6/5 35/6 -1/1 -9/10 6/1 -1/2 1/0 31/5 -1/1 1/0 25/4 0/1 1/0 44/7 -1/1 19/3 -2/3 -1/2 13/2 -1/4 0/1 33/5 0/1 20/3 0/1 1/6 27/4 1/2 7/1 1/1 1/0 29/4 0/1 1/0 22/3 0/1 37/5 1/4 2/7 15/2 1/2 23/3 0/1 1/0 8/1 2/1 1/0 17/2 -2/1 1/0 26/3 -5/4 -1/1 9/1 -1/2 1/0 19/2 0/1 1/4 10/1 -2/1 1/0 11/1 0/1 1/0 0/1 1/0 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(1,-2,0,1) Matrix(199,1914,-144,-1385) -> Matrix(9,4,-16,-7) Matrix(131,1122,-108,-925) -> Matrix(1,-2,0,1) Matrix(133,1122,94,793) -> Matrix(1,-2,0,1) Matrix(265,2046,154,1189) -> Matrix(7,6,8,7) Matrix(199,1518,78,595) -> Matrix(5,6,4,5) Matrix(329,2442,-258,-1915) -> Matrix(9,4,-16,-7) Matrix(65,462,-28,-199) -> Matrix(1,-2,0,1) Matrix(265,1782,-98,-659) -> Matrix(15,4,-4,-1) Matrix(199,1320,30,199) -> Matrix(1,0,12,1) Matrix(131,858,20,131) -> Matrix(1,0,-8,1) Matrix(133,858,82,529) -> Matrix(1,0,0,1) Matrix(199,1254,-136,-857) -> Matrix(1,0,-4,1) Matrix(593,3696,434,2705) -> Matrix(7,-4,16,-9) Matrix(397,2442,86,529) -> Matrix(1,0,-4,1) Matrix(263,1518,-206,-1189) -> Matrix(5,-8,-8,13) Matrix(265,1518,-92,-527) -> Matrix(1,-2,0,1) 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,-8,0,1) Matrix(925,5016,414,2245) -> Matrix(5,16,4,13) Matrix(1451,7854,390,2111) -> Matrix(1,4,4,17) Matrix(197,1056,86,461) -> Matrix(1,4,0,1) Matrix(263,1386,100,527) -> Matrix(7,12,4,7) Matrix(329,1716,-190,-991) -> Matrix(11,12,-12,-13) Matrix(67,330,-40,-197) -> Matrix(5,2,-8,-3) Matrix(329,1584,178,857) -> Matrix(3,2,4,3) Matrix(263,1254,-194,-925) -> Matrix(11,2,-28,-5) Matrix(265,1254,56,265) -> Matrix(1,0,16,1) Matrix(197,924,42,197) -> Matrix(1,0,-12,1) Matrix(397,1848,142,661) -> Matrix(9,-2,-4,1) Matrix(2575,11946,1494,6931) -> Matrix(5,-2,8,-3) Matrix(527,2442,-456,-2113) -> Matrix(1,0,-4,1) Matrix(329,1518,-272,-1255) -> Matrix(1,0,-4,1) Matrix(793,3630,-490,-2243) -> Matrix(1,0,-4,1) Matrix(131,594,58,263) -> Matrix(7,-2,4,-1) Matrix(133,594,-118,-527) -> Matrix(3,-2,-4,3) Matrix(461,2046,-372,-1651) -> Matrix(5,-4,-16,13) Matrix(463,2046,284,1255) -> Matrix(7,-6,20,-17) Matrix(197,858,-76,-331) -> Matrix(5,-6,-4,5) Matrix(199,858,138,595) -> Matrix(1,-2,4,-7) Matrix(463,1980,170,727) -> Matrix(1,4,0,1) Matrix(265,1122,-218,-923) -> Matrix(1,-2,0,1) Matrix(1451,6072,536,2243) -> Matrix(1,0,0,1) Matrix(1123,4686,712,2971) -> Matrix(1,-4,0,1) Matrix(461,1914,270,1121) -> Matrix(3,-28,4,-37) Matrix(395,1518,-172,-661) -> Matrix(5,4,-4,-3) Matrix(329,1254,-260,-991) -> Matrix(11,6,-24,-13) Matrix(593,2244,366,1385) -> Matrix(1,0,4,1) Matrix(1189,4488,-874,-3299) -> Matrix(3,2,-8,-5) Matrix(263,990,140,527) -> Matrix(3,2,4,3) Matrix(1253,4686,688,2573) -> Matrix(5,2,12,5) Matrix(2969,11088,-2174,-8119) -> Matrix(33,10,-76,-23) Matrix(3431,12804,2122,7919) -> Matrix(5,2,12,5) Matrix(991,3696,832,3103) -> Matrix(13,4,16,5) Matrix(1453,5412,1028,3829) -> Matrix(9,2,4,1) Matrix(2377,8844,426,1585) -> Matrix(15,4,-4,-1) Matrix(2573,9570,1650,6137) -> Matrix(11,2,16,3) Matrix(197,726,-54,-199) -> Matrix(1,0,8,1) Matrix(527,1914,-182,-661) -> Matrix(1,0,-4,1) Matrix(3763,13662,-2672,-9701) -> Matrix(1,0,-4,1) Matrix(1055,3828,218,791) -> Matrix(1,0,0,1) Matrix(857,3102,-602,-2179) -> Matrix(1,0,-4,1) Matrix(1187,4290,438,1583) -> Matrix(15,-4,4,-1) Matrix(659,2376,256,923) -> Matrix(7,-2,4,-1) Matrix(331,1188,-202,-725) -> Matrix(5,-2,-12,5) Matrix(463,1650,204,727) -> Matrix(7,-2,4,-1) Matrix(595,2112,242,859) -> Matrix(1,0,0,1) Matrix(857,3036,540,1913) -> Matrix(5,-2,8,-3) Matrix(859,2970,-706,-2441) -> Matrix(3,-4,4,-5) Matrix(593,2046,-402,-1387) -> Matrix(3,-4,-8,11) Matrix(3827,13200,-2794,-9637) -> Matrix(11,-16,-24,35) Matrix(595,2046,-326,-1121) -> Matrix(3,-4,-8,11) Matrix(925,3168,-732,-2507) -> Matrix(7,-10,-16,23) Matrix(1583,5412,1158,3959) -> Matrix(9,-14,20,-31) Matrix(2377,8118,696,2377) -> Matrix(15,-28,-8,15) Matrix(3365,11484,986,3365) -> Matrix(17,-36,-8,17) Matrix(329,1122,290,989) -> Matrix(1,-2,0,1) Matrix(331,1122,-136,-461) -> Matrix(1,-2,0,1) Matrix(1253,4224,450,1517) -> Matrix(11,-30,-4,11) Matrix(6271,21120,1862,6271) -> Matrix(71,-210,-24,71) Matrix(9899,33330,2940,9899) -> Matrix(109,-330,-36,109) Matrix(1255,4224,216,727) -> Matrix(9,-28,-8,25) Matrix(923,3102,-668,-2245) -> Matrix(9,-32,-16,57) Matrix(199,660,60,199) -> Matrix(1,-12,0,1) Matrix(461,1518,140,461) -> Matrix(1,28,0,1) Matrix(463,1518,262,859) -> Matrix(1,10,0,1) Matrix(263,858,202,659) -> Matrix(1,6,0,1) Matrix(265,858,-122,-395) -> Matrix(3,10,-4,-13) Matrix(595,1914,226,727) -> Matrix(7,12,4,7) Matrix(395,1254,166,527) -> Matrix(1,0,0,1) Matrix(397,1254,-334,-1055) -> Matrix(3,4,-4,-5) Matrix(527,1650,84,263) -> Matrix(1,0,0,1) Matrix(659,2046,-468,-1453) -> Matrix(1,0,0,1) Matrix(461,1320,-300,-859) -> Matrix(3,-2,-4,3) Matrix(395,1122,232,659) -> Matrix(3,2,4,3) Matrix(725,2046,444,1253) -> Matrix(3,-2,8,-5) Matrix(1783,5016,-680,-1913) -> Matrix(1,-2,0,1) Matrix(2113,5940,376,1057) -> Matrix(11,-8,-4,3) Matrix(659,1848,-424,-1189) -> Matrix(1,-2,0,1) Matrix(661,1848,142,397) -> Matrix(1,-2,-4,9) Matrix(2507,6996,1466,4091) -> Matrix(3,-10,4,-13) Matrix(6533,18216,-4190,-11683) -> Matrix(11,-24,-16,35) Matrix(3433,9570,2510,6997) -> Matrix(7,-18,16,-41) Matrix(1517,4224,450,1253) -> Matrix(11,-30,-4,11) Matrix(1187,3300,332,923) -> Matrix(1,-4,0,1) Matrix(263,726,-96,-265) -> Matrix(1,-12,0,1) Matrix(1715,4686,1304,3563) -> Matrix(1,8,-4,-31) Matrix(3431,9372,1546,4223) -> Matrix(9,64,8,57) Matrix(3433,9372,774,2113) -> Matrix(3,22,-4,-29) Matrix(2177,5940,-1234,-3367) -> Matrix(1,4,0,1) Matrix(727,1980,170,463) -> Matrix(1,4,0,1) Matrix(461,1254,218,593) -> Matrix(1,6,0,1) Matrix(923,2508,534,1451) -> Matrix(7,34,8,39) Matrix(1583,4290,438,1187) -> Matrix(1,4,-4,-15) Matrix(6995,18942,1462,3959) -> Matrix(1,4,4,17) Matrix(13529,36630,3778,10229) -> Matrix(3,10,-4,-13) Matrix(2243,6072,536,1451) -> Matrix(1,0,0,1) Matrix(1123,3036,806,2179) -> Matrix(5,18,8,29) Matrix(1517,4092,856,2309) -> Matrix(3,10,-4,-13) Matrix(3037,8184,-1910,-5147) -> Matrix(15,46,-16,-49) Matrix(1055,2838,-442,-1189) -> Matrix(3,8,4,11) Matrix(199,528,-124,-329) -> Matrix(1,2,0,1) Matrix(727,1914,226,595) -> Matrix(7,12,4,7) Matrix(527,1386,100,263) -> Matrix(7,12,4,7) Matrix(4885,12804,3576,9373) -> Matrix(7,10,16,23) Matrix(4157,10890,1738,4553) -> Matrix(1,2,0,1) Matrix(1387,3630,-1084,-2837) -> Matrix(3,4,-4,-5) Matrix(859,2244,632,1651) -> Matrix(3,4,8,11) Matrix(329,858,278,725) -> Matrix(5,8,8,13) Matrix(791,2046,612,1583) -> Matrix(3,2,4,3) Matrix(793,2046,512,1321) -> Matrix(3,2,4,3) Matrix(6271,16170,2432,6271) -> Matrix(1,0,0,1) Matrix(14849,38280,5760,14849) -> Matrix(1,8,0,1) Matrix(7195,18546,4174,10759) -> Matrix(3,8,4,11) Matrix(923,2376,256,659) -> Matrix(1,2,-4,-7) Matrix(463,1188,-334,-857) -> Matrix(7,10,-12,-17) Matrix(595,1518,78,199) -> Matrix(5,6,4,5) Matrix(725,1848,388,989) -> Matrix(5,6,4,5) Matrix(727,1848,286,727) -> Matrix(21,22,20,21) Matrix(131,330,52,131) -> Matrix(3,2,4,3) Matrix(133,330,-106,-263) -> Matrix(3,2,-8,-5) Matrix(859,2112,242,595) -> Matrix(1,0,0,1) Matrix(593,1452,350,857) -> Matrix(11,2,16,3) Matrix(595,1452,352,859) -> Matrix(5,-2,8,-3) Matrix(463,1122,300,727) -> Matrix(3,2,4,3) Matrix(791,1914,436,1055) -> Matrix(1,0,4,1) Matrix(2377,5742,984,2377) -> Matrix(1,0,8,1) Matrix(5741,13860,2378,5741) -> Matrix(1,0,-24,1) Matrix(793,1914,602,1453) -> Matrix(1,0,-8,1) Matrix(1123,2706,-520,-1253) -> Matrix(3,-2,-4,3) Matrix(2905,6996,1864,4489) -> Matrix(5,-2,8,-3) Matrix(659,1584,384,923) -> Matrix(3,-4,4,-5) Matrix(661,1584,386,925) -> Matrix(3,-4,4,-5) Matrix(331,792,28,67) -> Matrix(1,0,0,1) Matrix(3037,7260,1160,2773) -> Matrix(7,-2,4,-1) Matrix(857,2046,746,1781) -> Matrix(3,-2,8,-5) Matrix(1717,4092,942,2245) -> Matrix(1,-2,4,-7) Matrix(5015,11946,3934,9371) -> Matrix(7,-10,12,-17) Matrix(7787,18546,4766,11351) -> Matrix(5,-8,12,-19) Matrix(527,1254,166,395) -> Matrix(1,0,0,1) Matrix(1057,2508,668,1585) -> Matrix(1,-2,0,1) Matrix(3565,8448,-2172,-5147) -> Matrix(7,-24,-16,55) Matrix(725,1716,-586,-1387) -> Matrix(1,-4,-4,17) Matrix(727,1716,308,727) -> Matrix(1,-14,0,1) Matrix(197,462,84,197) -> Matrix(1,6,0,1) Matrix(2111,4884,456,1055) -> Matrix(1,2,-4,-7) Matrix(1913,4422,1056,2441) -> Matrix(1,2,0,1) Matrix(2773,6402,-1772,-4091) -> Matrix(3,4,-4,-5) Matrix(659,1518,458,1055) -> Matrix(1,2,4,9) Matrix(1783,4092,1122,2575) -> Matrix(3,2,4,3) Matrix(461,1056,86,197) -> Matrix(1,4,0,1) Matrix(463,1056,-260,-593) -> Matrix(1,2,0,1) Matrix(727,1650,204,463) -> Matrix(1,2,-4,-7) Matrix(263,594,58,131) -> Matrix(1,2,-4,-7) Matrix(2771,6204,766,1715) -> Matrix(3,4,-4,-5) Matrix(2243,5016,-1240,-2773) -> Matrix(3,4,-16,-21) Matrix(1979,4422,354,791) -> Matrix(19,24,-4,-5) Matrix(1981,4422,1124,2509) -> Matrix(5,6,4,5) Matrix(859,1914,504,1123) -> Matrix(23,28,32,39) Matrix(3301,7326,1190,2641) -> Matrix(39,44,-8,-9) Matrix(2113,4686,1548,3433) -> Matrix(19,22,44,51) Matrix(1847,4092,1072,2375) -> Matrix(5,6,4,5) Matrix(925,2046,-656,-1451) -> Matrix(7,8,-8,-9) Matrix(725,1584,-514,-1123) -> Matrix(9,8,-8,-7) Matrix(727,1584,576,1255) -> Matrix(17,14,40,33) Matrix(857,1848,-582,-1255) -> Matrix(7,4,-16,-9) Matrix(859,1848,522,1123) -> Matrix(13,6,28,13) Matrix(463,990,340,727) -> Matrix(5,2,12,5) Matrix(593,1254,218,461) -> Matrix(1,6,0,1) Matrix(661,1254,418,793) -> Matrix(3,2,4,3) Matrix(527,990,140,263) -> Matrix(3,2,4,3) Matrix(989,1848,388,725) -> Matrix(5,6,4,5) Matrix(1453,2706,-850,-1583) -> Matrix(25,18,-32,-23) Matrix(463,858,-320,-593) -> Matrix(3,2,-8,-5) Matrix(395,726,-216,-397) -> Matrix(7,4,-16,-9) Matrix(2245,4092,942,1717) -> Matrix(7,2,-4,-1) Matrix(2573,4686,688,1253) -> Matrix(5,2,12,5) Matrix(5149,9372,3264,5941) -> Matrix(1,0,4,1) Matrix(1055,1914,436,791) -> Matrix(1,0,4,1) Matrix(2441,4422,1056,1913) -> Matrix(1,2,0,1) Matrix(2771,5016,2260,4091) -> Matrix(1,0,8,1) Matrix(9635,17424,4306,7787) -> Matrix(59,4,44,3) Matrix(9637,17424,4308,7789) -> Matrix(53,-4,40,-3) Matrix(329,594,36,65) -> Matrix(1,0,0,1) Matrix(331,594,258,463) -> Matrix(3,2,4,3) Matrix(923,1650,664,1187) -> Matrix(3,2,4,3) Matrix(2441,4356,1072,1913) -> Matrix(17,2,8,1) Matrix(2443,4356,1074,1915) -> Matrix(15,-2,8,-1) Matrix(595,1056,484,859) -> Matrix(1,0,4,1) Matrix(857,1518,-634,-1123) -> Matrix(3,-4,-8,11) Matrix(859,1518,262,463) -> Matrix(1,10,0,1) Matrix(20659,36432,-15082,-26597) -> Matrix(11,28,-24,-61) Matrix(2509,4422,1124,1981) -> Matrix(5,6,4,5) Matrix(263,462,-226,-397) -> Matrix(1,2,-4,-7) Matrix(265,462,152,265) -> Matrix(5,6,4,5) Matrix(989,1716,570,989) -> Matrix(31,30,32,31) Matrix(2705,4686,-2096,-3631) -> Matrix(9,8,-8,-7) Matrix(5875,10164,-4234,-7325) -> Matrix(29,26,-48,-43) Matrix(1451,2508,534,923) -> Matrix(39,34,8,7) Matrix(727,1254,498,859) -> Matrix(5,4,16,13) Matrix(10759,18546,4174,7195) -> Matrix(11,8,4,3) Matrix(6931,11946,1494,2575) -> Matrix(3,2,-8,-5) Matrix(2375,4092,1072,1847) -> Matrix(5,6,4,5) Matrix(1649,2838,-1036,-1783) -> Matrix(9,8,-8,-7) Matrix(2111,3630,460,791) -> Matrix(7,6,-20,-17) Matrix(6337,10890,3918,6733) -> Matrix(17,14,40,33) Matrix(923,1584,384,659) -> Matrix(5,4,-4,-3) Matrix(925,1584,386,661) -> Matrix(5,4,-4,-3) Matrix(4091,6996,1466,2507) -> Matrix(13,10,-4,-3) Matrix(6797,11616,-4828,-8251) -> Matrix(13,10,-4,-3) Matrix(1121,1914,270,461) -> Matrix(37,28,-4,-3) Matrix(8119,13860,4756,8119) -> Matrix(271,204,360,271) Matrix(3365,5742,1972,3365) -> Matrix(113,84,152,113) Matrix(1123,1914,504,859) -> Matrix(39,28,32,23) Matrix(659,1122,232,395) -> Matrix(3,2,4,3) Matrix(661,1122,-466,-791) -> Matrix(3,2,4,3) Matrix(1055,1782,312,527) -> Matrix(19,12,-8,-5) Matrix(1253,2112,900,1517) -> Matrix(7,4,12,7) Matrix(2903,4884,784,1319) -> Matrix(3,2,16,11) Matrix(199,330,120,199) -> Matrix(11,6,20,11) Matrix(1121,1848,680,1121) -> Matrix(45,22,92,45) Matrix(1123,1848,522,859) -> Matrix(13,6,28,13) Matrix(923,1518,802,1319) -> Matrix(13,6,28,13) Matrix(2773,4554,724,1189) -> Matrix(5,2,12,5) Matrix(16765,27522,6192,10165) -> Matrix(55,24,16,7) Matrix(2575,4224,926,1519) -> Matrix(43,18,-12,-5) Matrix(1453,2376,1050,1717) -> Matrix(3,2,4,3) Matrix(11351,18546,4766,7787) -> Matrix(19,8,-12,-5) Matrix(23431,38280,14342,23431) -> Matrix(49,20,120,49) Matrix(9899,16170,6060,9899) -> Matrix(31,12,80,31) Matrix(1253,2046,444,725) -> Matrix(5,2,-8,-3) Matrix(527,858,-406,-661) -> Matrix(7,2,-4,-1) Matrix(529,858,82,133) -> Matrix(1,0,0,1) Matrix(1385,2244,366,593) -> Matrix(1,0,4,1) Matrix(4487,7260,2610,4223) -> Matrix(7,6,8,7) Matrix(857,1386,-776,-1255) -> Matrix(5,2,-8,-3) Matrix(3103,5016,-2000,-3233) -> Matrix(5,2,-8,-3) Matrix(859,1386,696,1123) -> Matrix(1,0,8,1) Matrix(1187,1914,818,1319) -> Matrix(1,0,8,1) Matrix(2705,4356,1024,1649) -> Matrix(33,2,16,1) Matrix(2707,4356,1026,1651) -> Matrix(31,-2,16,-1) Matrix(331,528,42,67) -> Matrix(1,2,0,1) Matrix(10955,17424,4066,6467) -> Matrix(85,88,28,29) Matrix(10957,17424,4068,6469) -> Matrix(95,92,32,31) Matrix(1121,1782,290,461) -> Matrix(7,6,8,7) Matrix(1123,1782,-956,-1517) -> Matrix(7,4,-16,-9) Matrix(3829,6072,2914,4621) -> Matrix(1,0,0,1) Matrix(17357,27522,6784,10757) -> Matrix(11,4,8,3) Matrix(10823,17160,2830,4487) -> Matrix(3,2,4,3) Matrix(2707,4290,1958,3103) -> Matrix(7,4,12,7) Matrix(1585,2508,668,1057) -> Matrix(1,-2,0,1) Matrix(793,1254,418,661) -> Matrix(3,2,4,3) Matrix(1253,1980,960,1517) -> Matrix(1,0,0,1) Matrix(461,726,-294,-463) -> Matrix(3,4,-4,-5) Matrix(10757,16830,-7636,-11947) -> Matrix(1,0,0,1) Matrix(1519,2376,296,463) -> Matrix(3,2,4,3) Matrix(4685,7326,2574,4025) -> Matrix(5,4,16,13) Matrix(2111,3300,506,791) -> Matrix(21,16,-4,-3) Matrix(2705,4224,1056,1649) -> Matrix(1,2,0,1) Matrix(2707,4224,1904,2971) -> Matrix(3,2,4,3) Matrix(6137,9570,1650,2573) -> Matrix(3,2,16,11) Matrix(25145,39204,9016,14057) -> Matrix(53,36,-28,-19) Matrix(25147,39204,9018,14059) -> Matrix(67,44,-32,-21) Matrix(4489,6996,1864,2905) -> Matrix(3,2,-8,-5) Matrix(1187,1848,932,1451) -> Matrix(11,6,20,11) Matrix(11219,17424,3994,6203) -> Matrix(15,16,-16,-17) Matrix(11221,17424,3996,6205) -> Matrix(21,20,-20,-19) Matrix(2509,3894,596,925) -> Matrix(13,10,-4,-3) Matrix(5873,9108,1574,2441) -> Matrix(1,0,4,1) Matrix(1321,2046,512,793) -> Matrix(3,2,4,3) Matrix(727,1122,300,463) -> Matrix(3,2,4,3) Matrix(2837,4356,988,1517) -> Matrix(3,2,16,11) Matrix(2839,4356,990,1519) -> Matrix(3,2,-20,-13) Matrix(991,1518,-818,-1253) -> Matrix(3,2,-8,-5) Matrix(989,1452,314,461) -> Matrix(11,4,8,3) Matrix(991,1452,316,463) -> Matrix(1,0,4,1) Matrix(859,1254,498,727) -> Matrix(13,4,16,5) Matrix(1319,1914,818,1187) -> Matrix(1,0,8,1) Matrix(1321,1914,274,397) -> Matrix(1,0,4,1) Matrix(595,858,138,199) -> Matrix(7,2,-4,-1) Matrix(1055,1518,458,659) -> Matrix(9,2,4,1) Matrix(1057,1518,736,1057) -> Matrix(1,0,12,1) Matrix(461,660,322,461) -> Matrix(1,0,0,1) Matrix(463,660,-416,-593) -> Matrix(1,0,0,1) Matrix(5149,7326,1114,1585) -> Matrix(1,0,-4,1) Matrix(23431,33330,16472,23431) -> Matrix(1,-2,0,1) Matrix(14849,21120,10440,14849) -> Matrix(1,2,0,1) Matrix(2971,4224,1904,2707) -> Matrix(3,2,4,3) Matrix(1255,1782,512,727) -> Matrix(1,0,4,1) Matrix(793,1122,94,133) -> Matrix(1,-2,0,1) Matrix(8119,11484,5740,8119) -> Matrix(1,-8,0,1) Matrix(5741,8118,4060,5741) -> Matrix(1,8,0,1) Matrix(3829,5412,1028,1453) -> Matrix(1,2,4,9) Matrix(3037,4290,-2242,-3167) -> Matrix(3,8,-8,-21) Matrix(76891,108306,20758,29239) -> Matrix(7,4,40,23) Matrix(42173,59400,11386,16037) -> Matrix(1,0,8,1) Matrix(1783,2508,-1360,-1913) -> Matrix(1,2,0,1) Matrix(331,462,48,67) -> Matrix(3,2,4,3) Matrix(1517,2112,900,1253) -> Matrix(7,4,12,7) Matrix(1187,1650,664,923) -> Matrix(3,2,4,3) Matrix(2377,3300,1522,2113) -> Matrix(7,4,12,7) Matrix(26401,36630,16650,23101) -> Matrix(3,2,4,3) Matrix(8183,11352,1712,2375) -> Matrix(3,2,4,3) Matrix(1717,2376,1050,1453) -> Matrix(3,2,4,3) Matrix(3103,4290,1958,2707) -> Matrix(7,4,12,7) Matrix(4489,6204,2484,3433) -> Matrix(7,4,-16,-9) Matrix(527,726,-384,-529) -> Matrix(23,12,-48,-25) Matrix(3565,4884,1446,1981) -> Matrix(13,6,28,13) Matrix(43363,59400,12576,17227) -> Matrix(43,20,-28,-13) Matrix(79067,108306,22934,31415) -> Matrix(61,28,-24,-11) Matrix(3037,4158,-2506,-3431) -> Matrix(13,6,-24,-11) Matrix(6997,9570,2510,3433) -> Matrix(41,18,-16,-7) Matrix(5743,7854,4682,6403) -> Matrix(9,4,56,25) Matrix(3959,5412,1158,1583) -> Matrix(31,14,-20,-9) Matrix(2705,3696,434,593) -> Matrix(9,4,-16,-7) Matrix(6667,9108,2368,3235) -> Matrix(9,4,-16,-7) Matrix(28709,39204,7684,10493) -> Matrix(93,40,272,117) Matrix(28711,39204,7686,10495) -> Matrix(75,32,232,99) Matrix(3433,4686,1548,2113) -> Matrix(51,22,44,19) Matrix(727,990,340,463) -> Matrix(5,2,12,5) Matrix(12803,17424,3394,4619) -> Matrix(5,2,32,13) Matrix(12805,17424,3396,4621) -> Matrix(5,2,-8,-3) Matrix(1651,2244,632,859) -> Matrix(11,4,8,3) Matrix(12673,17160,4680,6337) -> Matrix(27,10,8,3) Matrix(3365,4554,1316,1781) -> Matrix(57,22,44,17) Matrix(1321,1782,490,661) -> Matrix(63,22,20,7) Matrix(1453,1914,602,793) -> Matrix(1,0,-8,1) Matrix(2509,3300,904,1189) -> Matrix(17,-4,-4,1) Matrix(4621,6072,2914,3829) -> Matrix(1,0,0,1) Matrix(2969,3894,1056,1385) -> Matrix(3,-2,-4,3) Matrix(1517,1980,960,1253) -> Matrix(1,0,0,1) Matrix(659,858,202,263) -> Matrix(1,6,0,1) Matrix(1121,1452,254,329) -> Matrix(7,8,-8,-9) Matrix(1123,1452,256,331) -> Matrix(9,8,-8,-7) Matrix(7259,9372,4600,5939) -> Matrix(3,2,4,3) Matrix(2047,2640,-1688,-2177) -> Matrix(5,4,-4,-3) Matrix(463,594,258,331) -> Matrix(3,2,4,3) Matrix(2839,3630,1188,1519) -> Matrix(3,2,-8,-5) Matrix(1913,2442,1602,2045) -> Matrix(13,8,8,5) Matrix(5741,7326,1706,2177) -> Matrix(101,60,-32,-19) Matrix(3829,4884,2174,2773) -> Matrix(31,18,12,7) Matrix(9371,11946,3934,5015) -> Matrix(17,10,-12,-7) Matrix(1451,1848,932,1187) -> Matrix(11,6,20,11) Matrix(727,924,572,727) -> Matrix(23,12,44,23) Matrix(989,1254,780,989) -> Matrix(33,16,68,33) Matrix(8977,11352,2506,3169) -> Matrix(13,6,-24,-11) Matrix(14983,18942,9450,11947) -> Matrix(9,4,20,9) Matrix(1517,1914,470,593) -> Matrix(29,12,12,5) Matrix(3037,3828,2200,2773) -> Matrix(7,4,12,7) Matrix(1913,2376,690,857) -> Matrix(23,6,-4,-1) Matrix(1123,1386,696,859) -> Matrix(1,0,8,1) Matrix(859,1056,484,595) -> Matrix(1,0,4,1) Matrix(593,726,-486,-595) -> Matrix(1,0,8,1) Matrix(7259,8844,5308,6467) -> Matrix(7,-4,16,-9) Matrix(3631,4422,2006,2443) -> Matrix(1,0,0,1) Matrix(4883,5940,3146,3827) -> Matrix(3,-4,4,-5) Matrix(3497,4224,2458,2969) -> Matrix(1,0,0,1) Matrix(329,396,54,65) -> Matrix(1,0,0,1) Matrix(331,396,56,67) -> Matrix(1,0,0,1) Matrix(3103,3696,832,991) -> Matrix(5,4,16,13) Matrix(1387,1650,944,1123) -> Matrix(1,0,4,1) Matrix(725,858,278,329) -> Matrix(13,8,8,5) Matrix(727,858,616,727) -> Matrix(15,8,28,15) Matrix(1121,1320,952,1121) -> Matrix(25,12,52,25) Matrix(395,462,112,131) -> Matrix(5,2,-8,-3) Matrix(1253,1452,170,197) -> Matrix(1,0,8,1) Matrix(1255,1452,172,199) -> Matrix(1,0,0,1) Matrix(1319,1518,802,923) -> Matrix(13,6,28,13) Matrix(461,528,172,197) -> Matrix(9,2,4,1) Matrix(989,1122,290,329) -> Matrix(1,-2,0,1) Matrix(529,594,236,265) -> Matrix(11,4,8,3) Matrix(725,792,422,461) -> Matrix(13,4,16,5) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(1255,-1386,776,-857) -> Matrix(3,-2,8,-5) Matrix(1715,-1914,474,-529) -> Matrix(1,0,-4,1) Matrix(991,-1122,174,-197) -> Matrix(1,-2,0,1) Matrix(2113,-2442,456,-527) -> Matrix(1,0,-4,1) Matrix(397,-462,226,-263) -> Matrix(7,-2,4,-1) Matrix(1517,-1782,956,-1123) -> Matrix(9,-4,16,-7) Matrix(1055,-1254,334,-397) -> Matrix(5,-4,4,-3) Matrix(1255,-1518,272,-329) -> Matrix(1,0,-4,1) Matrix(1253,-1518,818,-991) -> Matrix(5,-2,8,-3) Matrix(925,-1122,108,-131) -> Matrix(1,-2,0,1) Matrix(923,-1122,218,-265) -> Matrix(1,-2,0,1) Matrix(595,-726,486,-593) -> Matrix(1,0,8,1) Matrix(1387,-1716,586,-725) -> Matrix(17,-4,-4,1) Matrix(263,-330,106,-133) -> Matrix(5,-2,8,-3) Matrix(991,-1254,260,-329) -> Matrix(13,-6,24,-11) Matrix(1915,-2442,258,-329) -> Matrix(7,-4,16,-9) Matrix(1189,-1518,206,-263) -> Matrix(13,-8,-8,5) Matrix(2837,-3630,1084,-1387) -> Matrix(5,-4,4,-3) Matrix(461,-594,52,-67) -> Matrix(3,-2,-4,3) Matrix(1585,-2046,306,-395) -> Matrix(5,-4,4,-3) Matrix(661,-858,406,-527) -> Matrix(1,-2,4,-7) Matrix(857,-1122,152,-199) -> Matrix(1,-2,0,1) Matrix(1123,-1518,634,-857) -> Matrix(11,-4,-8,3) Matrix(925,-1254,194,-263) -> Matrix(5,-2,28,-11) Matrix(3299,-4488,874,-1189) -> Matrix(5,-2,8,-3) Matrix(8119,-11088,2174,-2969) -> Matrix(23,-10,76,-33) Matrix(529,-726,384,-527) -> Matrix(25,-12,48,-23) Matrix(1387,-1914,908,-1253) -> Matrix(7,-4,16,-9) Matrix(9899,-13662,2870,-3961) -> Matrix(37,-20,-24,13) Matrix(2245,-3102,668,-923) -> Matrix(57,-32,-16,9) Matrix(857,-1188,334,-463) -> Matrix(17,-10,12,-7) Matrix(2111,-2970,376,-529) -> Matrix(1,-4,0,1) Matrix(1453,-2046,468,-659) -> Matrix(1,0,0,1) Matrix(9373,-13200,2530,-3563) -> Matrix(1,0,4,1) Matrix(1451,-2046,656,-925) -> Matrix(9,-8,8,-7) Matrix(2243,-3168,468,-661) -> Matrix(1,-2,4,-7) Matrix(791,-1122,466,-661) -> Matrix(3,2,4,3) Matrix(2179,-3102,602,-857) -> Matrix(1,0,-4,1) Matrix(593,-858,320,-463) -> Matrix(5,-2,8,-3) Matrix(857,-1254,136,-199) -> Matrix(1,0,-4,1) Matrix(1387,-2046,402,-593) -> Matrix(11,-4,-8,3) Matrix(859,-1320,300,-461) -> Matrix(3,-2,-4,3) Matrix(3233,-5016,2000,-3103) -> Matrix(3,-2,8,-5) Matrix(1189,-1848,424,-659) -> Matrix(1,-2,0,1) Matrix(11683,-18216,4190,-6533) -> Matrix(35,-24,-16,11) Matrix(463,-726,294,-461) -> Matrix(5,-4,4,-3) Matrix(3763,-5940,1630,-2573) -> Matrix(1,0,0,1) Matrix(5147,-8184,1910,-3037) -> Matrix(49,-46,16,-15) Matrix(1783,-2838,1036,-1649) -> Matrix(7,-8,8,-9) Matrix(329,-528,124,-199) -> Matrix(1,2,0,1) Matrix(2243,-3630,490,-793) -> Matrix(1,0,-4,1) Matrix(725,-1188,202,-331) -> Matrix(5,-2,-12,5) Matrix(197,-330,40,-67) -> Matrix(3,-2,8,-5) Matrix(1583,-2706,850,-1453) -> Matrix(23,-18,32,-25) Matrix(4883,-8448,1908,-3301) -> Matrix(13,-12,12,-11) Matrix(991,-1716,190,-329) -> Matrix(13,-12,12,-11) Matrix(3629,-6402,1310,-2311) -> Matrix(1,-8,0,1) Matrix(593,-1056,260,-463) -> Matrix(1,2,0,1) Matrix(2773,-5016,1240,-2243) -> Matrix(21,-4,16,-3) Matrix(1121,-2046,326,-595) -> Matrix(11,-4,-8,3) Matrix(859,-1584,250,-461) -> Matrix(13,-8,-8,5) Matrix(991,-1848,318,-593) -> Matrix(5,-4,4,-3) Matrix(1253,-2706,520,-1123) -> Matrix(3,-2,-4,3) Matrix(395,-858,122,-265) -> Matrix(13,-10,4,-3) Matrix(331,-726,150,-329) -> Matrix(17,-16,16,-15) Matrix(661,-1518,172,-395) -> Matrix(3,-4,4,-5) Matrix(15773,-36432,4258,-9835) -> Matrix(3,-4,16,-21) Matrix(199,-462,28,-65) -> Matrix(1,-2,0,1) Matrix(1981,-4686,446,-1055) -> Matrix(3,16,-4,-21) Matrix(4289,-10164,1198,-2839) -> Matrix(3,10,-4,-13) Matrix(1189,-2838,442,-1055) -> Matrix(11,8,4,3) Matrix(4819,-11616,1396,-3365) -> Matrix(7,2,-4,-1) Matrix(461,-1122,136,-331) -> Matrix(1,-2,0,1) Matrix(331,-858,76,-197) -> Matrix(5,-6,-4,5) Matrix(529,-1386,50,-131) -> Matrix(1,-2,0,1) Matrix(1913,-5016,680,-1783) -> Matrix(1,-2,0,1) Matrix(659,-1782,98,-265) -> Matrix(1,-4,4,-15) Matrix(265,-726,96,-263) -> Matrix(1,-12,0,1) Matrix(6073,-16830,1762,-4883) -> Matrix(1,4,0,1) Matrix(527,-1518,92,-265) -> Matrix(1,-2,0,1) Matrix(197,-660,20,-67) -> Matrix(1,4,0,1) Matrix(1253,-4290,328,-1123) -> Matrix(5,8,8,13) Matrix(725,-2508,172,-595) -> Matrix(11,14,-4,-5) Matrix(199,-726,54,-197) -> Matrix(1,0,8,1) Matrix(1121,-4158,196,-727) -> Matrix(9,-2,-4,1) Matrix(593,-2640,104,-463) -> Matrix(5,4,-4,-3) Matrix(133,-726,24,-131) -> Matrix(1,-8,0,1) 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 -9/1 -6/1 -11/2 -21/4 -9/2 -11/3 -18/5 -3/1 -11/4 -55/21 -12/5 -11/5 -11/6 -11/7 -3/2 -11/8 -11/9 0/1 1/1 33/28 11/9 33/26 11/8 99/70 165/116 33/23 3/2 11/7 33/20 99/58 55/32 33/19 25/14 11/6 2/1 11/5 66/29 33/14 12/5 5/2 33/13 165/64 66/25 132/49 11/4 3/1 33/10 27/8 7/2 18/5 11/3 363/98 15/4 132/35 4/1 17/4 13/3 35/8 9/2 55/12 14/3 33/7 19/4 29/6 5/1 21/4 16/3 11/2 23/4 6/1 13/2 33/5 27/4 7/1 15/2 8/1 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 2/1 1/0 -9/1 1/2 1/0 -8/1 -2/1 1/0 -7/1 -1/1 1/0 -20/3 -1/6 0/1 -33/5 0/1 -13/2 0/1 1/4 -19/3 1/2 2/3 -6/1 1/2 1/0 -17/3 2/1 1/0 -11/2 1/0 -16/3 -2/1 1/0 -21/4 -3/2 -5/1 -1/1 -1/2 -24/5 -1/2 -1/4 -19/4 -1/8 0/1 -33/7 0/1 -14/3 0/1 1/6 -37/8 0/1 1/4 -23/5 0/1 1/4 -32/7 0/1 1/2 -9/2 1/2 -13/3 3/2 2/1 -17/4 2/1 1/0 -4/1 -2/1 1/0 -19/5 -1/2 -2/5 -34/9 -1/2 0/1 -49/13 0/1 1/0 -15/4 -1/2 -26/7 -1/3 -1/4 -11/3 0/1 -40/11 1/5 1/4 -29/8 0/1 1/4 -47/13 0/1 1/6 -65/18 0/1 1/4 -18/5 1/4 1/2 -25/7 0/1 1/0 -7/2 1/2 1/1 -17/5 2/1 1/0 -27/8 5/2 -37/11 13/4 10/3 -10/3 6/1 1/0 -13/4 -4/1 1/0 -16/5 -2/1 1/0 -3/1 -1/2 1/0 -17/6 0/1 1/0 -31/11 1/1 1/0 -14/5 3/2 2/1 -11/4 1/0 -19/7 -9/2 -4/1 -65/24 -4/1 1/0 -46/17 -9/2 -4/1 -73/27 -15/4 -11/3 -27/10 -7/2 -35/13 -3/1 -23/8 -8/3 -2/1 1/0 -29/11 -2/1 -15/8 -21/8 -3/2 -76/29 0/1 1/0 -131/50 -2/1 1/0 -55/21 -2/1 -34/13 -2/1 -3/2 -47/18 -2/1 -7/4 -13/5 -3/2 -4/3 -31/12 -3/2 -1/1 -49/19 0/1 1/0 -67/26 -2/1 1/0 -18/7 -3/2 1/0 -23/9 -5/4 -6/5 -51/20 -7/6 -28/11 -11/10 -1/1 -33/13 -1/1 -5/2 -1/1 -1/2 -17/7 0/1 1/0 -29/12 -1/4 0/1 -12/5 1/2 1/0 -67/28 0/1 1/0 -55/23 0/1 -43/18 0/1 1/2 -31/13 1/1 5/4 -50/21 2/1 1/0 -19/8 2/1 1/0 -7/3 -3/1 1/0 -30/13 -3/2 1/0 -23/10 -2/1 -3/2 -16/7 -2/1 1/0 -25/11 -2/1 -7/4 -9/4 -3/2 -11/5 -1/1 -13/6 -3/4 -2/3 -2/1 -1/1 1/0 -15/8 -1/2 -28/15 -1/1 -5/6 -13/7 -2/3 -1/2 -11/6 -1/2 -20/11 -1/2 0/1 -29/16 0/1 1/0 -9/5 -1/2 1/0 -34/19 -1/2 0/1 -25/14 -1/4 0/1 -66/37 0/1 -41/23 0/1 1/4 -16/9 0/1 1/0 -7/4 -3/2 -1/1 -33/19 -1/1 -26/15 -1/1 -15/16 -71/41 -1/1 -13/14 -45/26 -9/10 -19/11 -6/7 -5/6 -31/18 -1/1 -1/2 -43/25 -7/8 -6/7 -12/7 -5/6 -3/4 -53/31 -4/5 -11/14 -41/24 -10/13 -3/4 -29/17 -3/4 -14/19 -17/10 -3/4 -2/3 -22/13 -2/3 -27/16 -1/2 -32/19 -2/3 -1/2 -5/3 -3/5 -1/2 -23/14 -1/2 -4/9 -41/25 -5/12 -2/5 -18/11 -1/2 -3/8 -49/30 -2/5 -3/8 -31/19 -3/8 -1/3 -13/8 -1/4 0/1 -47/29 -2/3 -1/2 -34/21 -1/2 0/1 -89/55 0/1 1/0 -55/34 -1/2 -21/13 -1/2 -1/4 -29/18 -1/8 0/1 -66/41 0/1 -37/23 0/1 1/8 -8/5 0/1 1/0 -43/27 -2/1 1/0 -35/22 -7/6 -1/1 -62/39 -8/9 -7/8 -27/17 -3/4 -1/2 -19/12 0/1 1/0 -30/19 -3/2 1/0 -11/7 -1/1 -36/23 -3/4 -1/2 -61/39 -1/1 -1/2 -25/16 -3/4 -2/3 -64/41 -1/1 -3/4 -39/25 -3/4 -1/2 -14/9 -1/2 0/1 -17/11 -3/4 -2/3 -3/2 -1/2 -16/11 -1/4 0/1 -13/9 -1/2 0/1 -36/25 -1/4 -1/6 -23/16 -1/6 0/1 -33/23 0/1 -10/7 0/1 1/0 -37/26 0/1 1/0 -64/45 -1/1 1/0 -27/19 -1/2 1/0 -17/12 0/1 1/0 -41/29 -4/1 1/0 -24/17 -3/2 1/0 -31/22 -1/1 -1/2 -38/27 -1/1 -1/2 -7/5 -1/1 -3/4 -39/28 -1/2 -32/23 -2/3 -1/2 -25/18 -2/3 -5/8 -68/49 -5/8 -3/5 -43/31 -5/8 -8/13 -18/13 -7/12 -1/2 -11/8 -1/2 -15/11 -1/2 -5/12 -34/25 -1/2 -2/5 -19/14 -5/12 -2/5 -42/31 -7/18 -3/8 -23/17 -8/21 -3/8 -4/3 -1/4 0/1 -17/13 0/1 1/0 -13/10 -2/1 1/0 -22/17 -1/1 -31/24 -1/1 -5/6 -9/7 -3/4 -1/2 -32/25 -2/3 -1/2 -55/43 -2/3 -23/18 -2/3 -1/2 -14/11 -6/11 -1/2 -5/4 -1/2 -1/3 -11/9 0/1 -17/14 0/1 1/0 -6/5 -1/2 1/0 -13/11 -4/7 -1/2 -7/6 -1/2 -1/3 -8/7 -1/4 0/1 -1/1 -1/2 0/1 0/1 0/1 1/1 0/1 1/2 9/8 1/2 8/7 0/1 1/4 7/6 1/3 1/2 20/17 6/13 1/2 33/28 1/2 13/11 1/2 4/7 19/16 2/3 3/4 6/5 1/2 1/0 17/14 0/1 1/0 11/9 0/1 27/22 1/6 16/13 0/1 1/4 5/4 1/3 1/2 19/15 8/17 1/2 33/26 1/2 14/11 1/2 6/11 37/29 7/12 10/17 23/18 1/2 2/3 32/25 1/2 2/3 9/7 1/2 3/4 31/24 5/6 1/1 22/17 1/1 13/10 2/1 1/0 17/13 0/1 1/0 21/16 -1/2 4/3 0/1 1/4 23/17 3/8 8/21 19/14 2/5 5/12 34/25 2/5 1/2 49/36 2/5 5/12 15/11 5/12 1/2 11/8 1/2 18/13 1/2 7/12 25/18 5/8 2/3 32/23 1/2 2/3 39/28 1/2 7/5 3/4 1/1 38/27 1/2 1/1 69/49 1/2 1/0 31/22 1/2 1/1 24/17 3/2 1/0 41/29 4/1 1/0 99/70 1/0 58/41 -4/1 1/0 17/12 0/1 1/0 27/19 1/2 1/0 64/45 1/1 1/0 165/116 1/0 101/71 -1/1 1/0 37/26 0/1 1/0 10/7 0/1 1/0 33/23 0/1 23/16 0/1 1/6 36/25 1/6 1/4 13/9 0/1 1/2 29/20 0/1 1/0 16/11 0/1 1/4 3/2 1/2 17/11 2/3 3/4 31/20 5/6 1/1 14/9 0/1 1/2 39/25 1/2 3/4 64/41 3/4 1/1 25/16 2/3 3/4 11/7 1/1 41/26 2/1 1/0 112/71 0/1 1/2 71/45 1/1 3/2 101/64 1/1 3/2 30/19 3/2 1/0 49/31 0/1 1/0 19/12 0/1 1/0 46/29 2/5 1/2 27/17 1/2 3/4 62/39 7/8 8/9 35/22 1/1 7/6 8/5 0/1 1/0 29/18 0/1 1/8 21/13 1/4 1/2 76/47 3/8 2/5 55/34 1/2 34/21 0/1 1/2 47/29 1/2 2/3 13/8 0/1 1/4 31/19 1/3 3/8 49/30 3/8 2/5 165/101 2/5 116/71 2/5 5/12 67/41 2/5 1/2 18/11 3/8 1/2 23/14 4/9 1/2 28/17 11/23 1/2 33/20 1/2 5/3 1/2 3/5 32/19 1/2 2/3 27/16 1/2 22/13 2/3 17/10 2/3 3/4 29/17 14/19 3/4 99/58 3/4 70/41 3/4 34/45 41/24 3/4 10/13 53/31 11/14 4/5 65/38 3/4 4/5 12/7 3/4 5/6 55/32 5/6 43/25 6/7 7/8 74/43 7/8 8/9 31/18 1/2 1/1 50/29 3/4 4/5 19/11 5/6 6/7 64/37 7/8 1/1 45/26 9/10 26/15 15/16 1/1 33/19 1/1 7/4 1/1 3/2 16/9 0/1 1/0 25/14 0/1 1/4 34/19 0/1 1/2 9/5 1/2 1/0 38/21 1/3 1/2 67/37 0/1 1/2 29/16 0/1 1/0 20/11 0/1 1/2 11/6 1/2 13/7 1/2 2/3 41/22 3/4 4/5 28/15 5/6 1/1 15/8 1/2 17/9 2/3 3/4 2/1 1/1 1/0 13/6 2/3 3/4 11/5 1/1 31/14 1/1 7/6 20/9 7/6 6/5 9/4 3/2 34/15 3/2 2/1 25/11 7/4 2/1 66/29 2/1 41/18 2/1 9/4 16/7 2/1 1/0 39/17 1/2 1/0 23/10 3/2 2/1 30/13 3/2 1/0 97/42 1/1 3/2 67/29 3/2 2/1 37/16 2/1 1/0 7/3 3/1 1/0 33/14 1/0 26/11 -7/1 1/0 19/8 -2/1 1/0 50/21 -2/1 1/0 81/34 -3/2 31/13 -5/4 -1/1 43/18 -1/2 0/1 55/23 0/1 67/28 0/1 1/0 12/5 -1/2 1/0 29/12 0/1 1/4 46/19 0/1 1/2 17/7 0/1 1/0 22/9 0/1 5/2 1/2 1/1 33/13 1/1 28/11 1/1 11/10 51/20 7/6 23/9 6/5 5/4 87/34 3/2 64/25 1/1 5/4 41/16 5/4 4/3 18/7 3/2 1/0 67/26 2/1 1/0 116/45 4/1 1/0 165/64 1/0 49/19 0/1 1/0 31/12 1/1 3/2 13/5 4/3 3/2 47/18 7/4 2/1 34/13 3/2 2/1 89/34 3/2 2/1 55/21 2/1 76/29 0/1 1/0 21/8 3/2 50/19 7/4 2/1 29/11 15/8 2/1 66/25 2/1 37/14 2/1 17/8 8/3 2/1 1/0 43/16 5/2 8/3 35/13 23/8 3/1 132/49 3/1 97/36 3/1 67/22 62/23 25/8 22/7 27/10 7/2 46/17 4/1 9/2 111/41 7/2 1/0 65/24 4/1 1/0 19/7 4/1 9/2 11/4 1/0 14/5 -2/1 -3/2 45/16 -1/2 76/27 -2/1 1/0 31/11 -1/1 1/0 17/6 0/1 1/0 20/7 -1/2 0/1 3/1 1/2 1/0 19/6 2/1 1/0 16/5 2/1 1/0 13/4 4/1 1/0 23/7 14/1 1/0 33/10 1/0 10/3 -6/1 1/0 37/11 -10/3 -13/4 101/30 -55/18 -3/1 165/49 -3/1 64/19 -3/1 -35/12 27/8 -5/2 44/13 -2/1 17/5 -2/1 1/0 7/2 -1/1 -1/2 25/7 0/1 1/0 68/19 -1/1 -7/8 43/12 -2/3 -1/2 18/5 -1/2 -1/4 65/18 -1/4 0/1 47/13 -1/6 0/1 29/8 -1/4 0/1 11/3 0/1 37/10 0/1 1/4 100/27 0/1 1/6 363/98 1/6 263/71 1/6 2/11 163/44 1/6 1/5 63/17 1/6 1/4 26/7 1/4 1/3 41/11 1/4 2/7 56/15 0/1 1/4 15/4 1/2 49/13 0/1 1/0 132/35 0/1 83/22 0/1 1/4 34/9 0/1 1/2 19/5 2/5 1/2 23/6 1/2 2/3 27/7 3/4 5/6 4/1 2/1 1/0 17/4 -2/1 1/0 30/7 -5/2 1/0 13/3 -2/1 -3/2 35/8 -3/2 -1/1 22/5 -1/1 9/2 -1/2 32/7 -1/2 0/1 55/12 -1/2 23/5 -1/4 0/1 37/8 -1/4 0/1 14/3 -1/6 0/1 33/7 0/1 19/4 0/1 1/8 43/9 1/4 2/7 24/5 1/4 1/2 29/6 0/1 1/4 34/7 0/1 1/2 5/1 1/2 1/1 26/5 3/4 1/1 21/4 3/2 16/3 2/1 1/0 11/2 1/0 17/3 -2/1 1/0 23/4 -2/1 -3/2 29/5 -5/4 -6/5 6/1 -1/2 1/0 19/3 -2/3 -1/2 13/2 -1/4 0/1 33/5 0/1 20/3 0/1 1/6 27/4 1/2 7/1 1/1 1/0 15/2 1/2 23/3 0/1 1/0 8/1 2/1 1/0 9/1 -1/2 1/0 10/1 -2/1 1/0 11/1 0/1 1/0 0/1 1/0 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(65,627,-48,-463) (-10/1,-9/1) -> (-42/31,-23/17) Hyperbolic Matrix(65,561,-46,-397) (-9/1,-8/1) -> (-41/29,-24/17) Hyperbolic Matrix(67,495,18,133) (-8/1,-7/1) -> (26/7,41/11) 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(131,825,-84,-529) (-19/3,-6/1) -> (-39/25,-14/9) Hyperbolic Matrix(133,759,58,331) (-6/1,-17/3) -> (16/7,39/17) Hyperbolic Matrix(65,363,-12,-67) (-17/3,-11/2) -> (-11/2,-16/3) Parabolic 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(199,957,110,529) (-5/1,-24/5) -> (9/5,38/21) 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(463,2145,-128,-593) (-14/3,-37/8) -> (-29/8,-47/13) Hyperbolic Matrix(265,1221,-186,-857) (-37/8,-23/5) -> (-10/7,-37/26) 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(67,297,30,133) (-9/2,-13/3) -> (20/9,9/4) Hyperbolic Matrix(131,561,46,197) (-13/3,-17/4) -> (17/6,20/7) Hyperbolic Matrix(133,561,-78,-329) (-17/4,-4/1) -> (-29/17,-17/10) Hyperbolic Matrix(199,759,156,595) (-4/1,-19/5) -> (14/11,37/29) Hyperbolic Matrix(593,2244,366,1385) (-19/5,-34/9) -> (34/21,47/29) Hyperbolic Matrix(1915,7227,1172,4423) (-34/9,-49/13) -> (116/71,67/41) Hyperbolic Matrix(263,990,140,527) (-49/13,-15/4) -> (15/8,17/9) Hyperbolic Matrix(133,495,18,67) (-15/4,-26/7) -> (7/1,15/2) Hyperbolic Matrix(197,726,-54,-199) (-26/7,-11/3) -> (-11/3,-40/11) Parabolic Matrix(463,1683,200,727) (-40/11,-29/8) -> (37/16,7/3) 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(65,231,-56,-199) (-25/7,-7/2) -> (-7/6,-8/7) Hyperbolic Matrix(67,231,-38,-131) (-7/2,-17/5) -> (-16/9,-7/4) Hyperbolic Matrix(263,891,214,725) (-17/5,-27/8) -> (27/22,16/13) Hyperbolic Matrix(793,2673,294,991) (-27/8,-37/11) -> (62/23,27/10) Hyperbolic Matrix(265,891,-196,-659) (-37/11,-10/3) -> (-23/17,-4/3) Hyperbolic Matrix(131,429,40,131) (-10/3,-13/4) -> (13/4,23/7) Hyperbolic Matrix(133,429,-102,-329) (-13/4,-16/5) -> (-17/13,-13/10) Hyperbolic Matrix(199,627,126,397) (-16/5,-3/1) -> (30/19,49/31) Hyperbolic Matrix(197,561,46,131) (-3/1,-17/6) -> (17/4,30/7) Hyperbolic Matrix(725,2046,444,1253) (-17/6,-31/11) -> (31/19,49/30) Hyperbolic Matrix(529,1485,306,859) (-31/11,-14/5) -> (19/11,64/37) Hyperbolic Matrix(131,363,-48,-133) (-14/5,-11/4) -> (-11/4,-19/7) Parabolic Matrix(1583,4290,438,1187) (-19/7,-65/24) -> (65/18,47/13) Hyperbolic Matrix(2377,6435,1390,3763) (-65/24,-46/17) -> (53/31,65/38) Hyperbolic Matrix(1123,3036,806,2179) (-73/27,-27/10) -> (39/28,7/5) Hyperbolic Matrix(991,2673,294,793) (-27/10,-35/13) -> (64/19,27/8) Hyperbolic Matrix(529,1419,148,397) (-35/13,-8/3) -> (25/7,68/19) Hyperbolic Matrix(199,528,-124,-329) (-8/3,-29/11) -> (-37/23,-8/5) Hyperbolic Matrix(263,693,200,527) (-29/11,-21/8) -> (21/16,4/3) Hyperbolic Matrix(2707,7095,1058,2773) (-21/8,-76/29) -> (23/9,87/34) 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(395,1023,178,461) (-13/5,-31/12) -> (31/14,20/9) Hyperbolic Matrix(793,2046,512,1321) (-31/12,-49/19) -> (17/11,31/20) Hyperbolic Matrix(4289,11055,1664,4289) (-49/19,-67/26) -> (67/26,116/45) 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(67,165,54,133) (-5/2,-17/7) -> (16/13,5/4) Hyperbolic Matrix(395,957,272,659) (-17/7,-29/12) -> (29/20,16/11) Hyperbolic Matrix(397,957,-246,-593) (-29/12,-12/5) -> (-21/13,-29/18) 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(1783,4257,498,1189) (-43/18,-31/13) -> (68/19,43/12) Hyperbolic Matrix(263,627,138,329) (-31/13,-50/21) -> (17/9,2/1) Hyperbolic Matrix(527,1254,166,395) (-50/21,-19/8) -> (19/6,16/5) Hyperbolic Matrix(265,627,112,265) (-19/8,-7/3) -> (26/11,19/8) Hyperbolic Matrix(527,1221,142,329) (-7/3,-30/13) -> (63/17,26/7) Hyperbolic Matrix(659,1518,458,1055) (-30/13,-23/10) -> (23/16,36/25) Hyperbolic Matrix(331,759,58,133) (-23/10,-16/7) -> (17/3,23/4) Hyperbolic Matrix(463,1056,-260,-593) (-16/7,-25/11) -> (-41/23,-16/9) Hyperbolic Matrix(131,297,116,263) (-25/11,-9/4) -> (9/8,8/7) Hyperbolic Matrix(133,297,30,67) (-9/4,-11/5) -> (22/5,9/2) Hyperbolic Matrix(197,429,-152,-331) (-11/5,-13/6) -> (-13/10,-22/17) Hyperbolic Matrix(199,429,-122,-263) (-13/6,-2/1) -> (-31/19,-13/8) Hyperbolic Matrix(329,627,138,263) (-2/1,-15/8) -> (81/34,31/13) Hyperbolic Matrix(989,1848,388,725) (-15/8,-28/15) -> (28/11,51/20) Hyperbolic Matrix(2177,4059,1380,2573) (-28/15,-13/7) -> (112/71,71/45) Hyperbolic Matrix(197,363,-108,-199) (-13/7,-11/6) -> (-11/6,-20/11) Parabolic Matrix(1055,1914,436,791) (-20/11,-29/16) -> (29/12,46/19) Hyperbolic Matrix(529,957,110,199) (-29/16,-9/5) -> (24/5,29/6) 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(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(857,1485,-610,-1057) (-26/15,-71/41) -> (-38/27,-7/5) Hyperbolic Matrix(859,1485,306,529) (-45/26,-19/11) -> (14/5,45/16) Hyperbolic Matrix(593,1023,382,659) (-19/11,-31/18) -> (31/20,14/9) Hyperbolic Matrix(1649,2838,-1036,-1783) (-31/18,-43/25) -> (-43/27,-35/22) Hyperbolic Matrix(1057,1815,654,1123) (-43/25,-12/7) -> (21/13,76/47) Hyperbolic Matrix(3763,6435,1390,2377) (-12/7,-53/31) -> (46/17,111/41) Hyperbolic Matrix(3959,6765,2510,4289) (-53/31,-41/24) -> (41/26,112/71) Hyperbolic Matrix(2377,4059,1392,2377) (-41/24,-29/17) -> (70/41,41/24) Hyperbolic Matrix(331,561,-272,-461) (-17/10,-22/13) -> (-11/9,-17/14) 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(923,1551,510,857) (-32/19,-5/3) -> (38/21,67/37) Hyperbolic Matrix(461,759,280,461) (-5/3,-23/14) -> (23/14,28/17) Hyperbolic Matrix(1187,1947,442,725) (-23/14,-41/25) -> (8/3,43/16) Hyperbolic Matrix(989,1617,726,1187) (-18/11,-49/30) -> (49/36,15/11) Hyperbolic Matrix(1253,2046,444,725) (-49/30,-31/19) -> (31/11,17/6) 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(1123,1815,654,1057) (-55/34,-21/13) -> (12/7,55/32) 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(4753,7557,1412,2245) (-35/22,-62/39) -> (37/11,101/30) Hyperbolic Matrix(1121,1782,290,461) (-62/39,-27/17) -> (27/7,4/1) Hyperbolic Matrix(395,627,332,527) (-27/17,-19/12) -> (19/16,6/5) Hyperbolic Matrix(397,627,126,199) (-19/12,-30/19) -> (3/1,19/6) Hyperbolic Matrix(461,726,-294,-463) (-30/19,-11/7) -> (-11/7,-36/23) Parabolic Matrix(3565,5577,2532,3961) (-36/23,-61/39) -> (38/27,69/49) Hyperbolic Matrix(2047,3201,1098,1717) (-61/39,-25/16) -> (41/22,28/15) 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(659,1023,382,593) (-14/9,-17/11) -> (50/29,19/11) Hyperbolic Matrix(65,99,-44,-67) (-17/11,-3/2) -> (-3/2,-16/11) Parabolic Matrix(659,957,272,395) (-16/11,-13/9) -> (46/19,17/7) 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(4291,6105,3016,4291) (-37/26,-64/45) -> (101/71,37/26) Hyperbolic Matrix(2971,4224,1904,2707) (-64/45,-27/19) -> (39/25,64/41) Hyperbolic Matrix(395,561,-326,-463) (-27/19,-17/12) -> (-17/14,-6/5) Hyperbolic Matrix(1189,1683,840,1189) (-17/12,-41/29) -> (58/41,17/12) Hyperbolic Matrix(725,1023,-562,-793) (-24/17,-31/22) -> (-31/24,-9/7) Hyperbolic Matrix(4289,6039,2718,3827) (-31/22,-38/27) -> (71/45,101/64) 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(4685,6501,1664,2309) (-68/49,-43/31) -> (76/27,31/11) Hyperbolic Matrix(263,363,-192,-265) (-18/13,-11/8) -> (-11/8,-15/11) Parabolic Matrix(1187,1617,726,989) (-15/11,-34/25) -> (67/41,18/11) Hyperbolic Matrix(1651,2244,632,859) (-34/25,-19/14) -> (47/18,34/13) Hyperbolic Matrix(527,693,200,263) (-4/3,-17/13) -> (50/19,29/11) Hyperbolic Matrix(1123,1452,256,331) (-22/17,-31/24) -> (35/8,22/5) 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(595,759,156,199) (-23/18,-14/11) -> (19/5,23/6) Hyperbolic Matrix(131,165,104,131) (-14/11,-5/4) -> (5/4,19/15) Hyperbolic Matrix(133,165,54,67) (-5/4,-11/9) -> (22/9,5/2) Hyperbolic Matrix(527,627,332,395) (-6/5,-13/11) -> (46/29,27/17) Hyperbolic Matrix(197,231,168,197) (-13/11,-7/6) -> (7/6,20/17) Hyperbolic Matrix(263,297,116,131) (-8/7,-1/1) -> (34/15,25/11) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(265,-297,58,-65) (1/1,9/8) -> (9/2,32/7) Hyperbolic Matrix(199,-231,56,-65) (8/7,7/6) -> (7/2,25/7) Hyperbolic Matrix(925,-1089,784,-923) (20/17,33/28) -> (33/28,13/11) Parabolic Matrix(463,-561,326,-395) (6/5,17/14) -> (17/12,27/19) Hyperbolic Matrix(461,-561,272,-331) (17/14,11/9) -> (22/13,17/10) Hyperbolic Matrix(727,-891,430,-527) (11/9,27/22) -> (27/16,22/13) Hyperbolic Matrix(859,-1089,676,-857) (19/15,33/26) -> (33/26,14/11) Parabolic 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(793,-1023,562,-725) (9/7,31/24) -> (31/22,24/17) Hyperbolic Matrix(791,-1023,358,-463) (31/24,22/17) -> (11/5,31/14) Hyperbolic Matrix(331,-429,152,-197) (22/17,13/10) -> (13/6,11/5) Hyperbolic Matrix(329,-429,102,-133) (13/10,17/13) -> (16/5,13/4) Hyperbolic Matrix(529,-693,100,-131) (17/13,21/16) -> (21/4,16/3) Hyperbolic Matrix(659,-891,196,-265) (4/3,23/17) -> (10/3,37/11) 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(265,-363,192,-263) (15/11,11/8) -> (11/8,18/13) Parabolic Matrix(857,-1188,334,-463) (18/13,25/18) -> (41/16,18/7) Hyperbolic Matrix(727,-1023,140,-197) (7/5,38/27) -> (5/1,26/5) Hyperbolic Matrix(9373,-13200,2530,-3563) (69/49,31/22) -> (163/44,63/17) Hyperbolic Matrix(397,-561,46,-65) (24/17,41/29) -> (8/1,9/1) Hyperbolic Matrix(6931,-9801,4900,-6929) (41/29,99/70) -> (99/70,58/41) Parabolic Matrix(19141,-27225,13456,-19139) (64/45,165/116) -> (165/116,101/71) Parabolic Matrix(857,-1221,186,-265) (37/26,10/7) -> (23/5,37/8) Hyperbolic Matrix(527,-759,184,-265) (36/25,13/9) -> (20/7,3/1) Hyperbolic Matrix(661,-957,364,-527) (13/9,29/20) -> (29/16,20/11) Hyperbolic Matrix(67,-99,44,-65) (16/11,3/2) -> (3/2,17/11) Parabolic Matrix(529,-825,84,-131) (14/9,39/25) -> (6/1,19/3) 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(1189,-1881,500,-791) (49/31,19/12) -> (19/8,50/21) Hyperbolic Matrix(1519,-2409,582,-923) (19/12,46/29) -> (13/5,47/18) Hyperbolic Matrix(727,-1155,124,-197) (27/17,62/39) -> (29/5,6/1) 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(593,-957,246,-397) (29/18,21/13) -> (12/5,29/12) Hyperbolic Matrix(3367,-5445,734,-1187) (76/47,55/34) -> (55/12,23/5) Hyperbolic Matrix(2243,-3630,490,-793) (55/34,34/21) -> (32/7,55/12) Hyperbolic Matrix(263,-429,122,-199) (13/8,31/19) -> (2/1,13/6) Hyperbolic Matrix(12343,-20163,3272,-5345) (49/30,165/101) -> (132/35,83/22) Hyperbolic Matrix(14321,-23397,3798,-6205) (165/101,116/71) -> (49/13,132/35) Hyperbolic Matrix(725,-1188,202,-331) (18/11,23/14) -> (43/12,18/5) Hyperbolic Matrix(661,-1089,400,-659) (28/17,33/20) -> (33/20,5/3) Parabolic Matrix(197,-330,40,-67) (5/3,32/19) -> (34/7,5/1) Hyperbolic Matrix(329,-561,78,-133) (17/10,29/17) -> (4/1,17/4) Hyperbolic Matrix(5743,-9801,3364,-5741) (29/17,99/58) -> (99/58,70/41) Parabolic Matrix(1583,-2706,850,-1453) (41/24,53/31) -> (13/7,41/22) Hyperbolic Matrix(3433,-5907,920,-1583) (43/25,74/43) -> (41/11,56/15) Hyperbolic Matrix(1781,-3069,690,-1189) (31/18,50/29) -> (49/19,31/12) 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(131,-231,38,-67) (7/4,16/9) -> (17/5,7/2) Hyperbolic Matrix(593,-1056,260,-463) (16/9,25/14) -> (41/18,16/7) Hyperbolic Matrix(2969,-5379,802,-1453) (67/37,29/16) -> (37/10,100/27) Hyperbolic Matrix(199,-363,108,-197) (20/11,11/6) -> (11/6,13/7) 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(1385,-3201,286,-661) (67/29,37/16) -> (29/6,34/7) Hyperbolic Matrix(463,-1089,196,-461) (7/3,33/14) -> (33/14,26/11) Parabolic Matrix(1981,-4719,526,-1253) (50/21,81/34) -> (15/4,49/13) Hyperbolic Matrix(1189,-2838,442,-1055) (31/13,43/18) -> (43/16,35/13) Hyperbolic Matrix(3433,-8217,1268,-3035) (67/28,12/5) -> (111/41,65/24) Hyperbolic Matrix(461,-1122,136,-331) (17/7,22/9) -> (44/13,17/5) Hyperbolic Matrix(1255,-3201,336,-857) (51/20,23/9) -> (56/15,15/4) Hyperbolic Matrix(10561,-27225,4096,-10559) (116/45,165/64) -> (165/64,49/19) Parabolic 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(5281,-14223,1568,-4223) (35/13,132/49) -> (165/49,64/19) Hyperbolic Matrix(10889,-29337,3234,-8713) (132/49,97/36) -> (101/30,165/49) Hyperbolic Matrix(659,-1782,98,-265) (27/10,46/17) -> (20/3,27/4) Hyperbolic Matrix(133,-363,48,-131) (19/7,11/4) -> (11/4,14/5) Parabolic Matrix(331,-1089,100,-329) (23/7,33/10) -> (33/10,10/3) Parabolic Matrix(593,-2145,128,-463) (47/13,29/8) -> (37/8,14/3) Hyperbolic Matrix(199,-726,54,-197) (29/8,11/3) -> (11/3,37/10) Parabolic Matrix(35575,-131769,9604,-35573) (100/27,363/98) -> (363/98,263/71) Parabolic Matrix(131,-627,14,-67) (43/9,24/5) -> (9/1,10/1) Hyperbolic Matrix(67,-363,12,-65) (16/3,11/2) -> (11/2,17/3) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(131,1386,-50,-529) -> Matrix(1,-2,0,1) Matrix(65,627,-48,-463) -> Matrix(3,2,-8,-5) Matrix(65,561,-46,-397) -> Matrix(1,-2,0,1) Matrix(67,495,18,133) -> Matrix(1,0,4,1) Matrix(265,1782,-98,-659) -> Matrix(15,4,-4,-1) Matrix(199,1320,30,199) -> Matrix(1,0,12,1) Matrix(131,858,20,131) -> Matrix(1,0,-8,1) Matrix(133,858,82,529) -> Matrix(1,0,0,1) Matrix(131,825,-84,-529) -> Matrix(3,-2,-4,3) Matrix(133,759,58,331) -> Matrix(1,0,0,1) Matrix(65,363,-12,-67) -> Matrix(1,-4,0,1) Matrix(263,1386,100,527) -> Matrix(7,12,4,7) Matrix(329,1716,-190,-991) -> Matrix(11,12,-12,-13) Matrix(199,957,110,529) -> Matrix(1,0,4,1) Matrix(263,1254,-194,-925) -> Matrix(11,2,-28,-5) Matrix(265,1254,56,265) -> Matrix(1,0,16,1) Matrix(197,924,42,197) -> Matrix(1,0,-12,1) Matrix(463,2145,-128,-593) -> Matrix(1,0,0,1) Matrix(265,1221,-186,-857) -> Matrix(1,0,-4,1) Matrix(793,3630,-490,-2243) -> Matrix(1,0,-4,1) Matrix(131,594,58,263) -> Matrix(7,-2,4,-1) Matrix(67,297,30,133) -> Matrix(5,-4,4,-3) Matrix(131,561,46,197) -> Matrix(1,-2,0,1) Matrix(133,561,-78,-329) -> Matrix(3,-8,-4,11) Matrix(199,759,156,595) -> Matrix(7,4,12,7) Matrix(593,2244,366,1385) -> Matrix(1,0,4,1) Matrix(1915,7227,1172,4423) -> Matrix(5,2,12,5) Matrix(263,990,140,527) -> Matrix(3,2,4,3) Matrix(133,495,18,67) -> Matrix(1,0,4,1) Matrix(197,726,-54,-199) -> Matrix(1,0,8,1) Matrix(463,1683,200,727) -> Matrix(7,-2,4,-1) Matrix(1187,4290,438,1583) -> Matrix(15,-4,4,-1) Matrix(659,2376,256,923) -> Matrix(7,-2,4,-1) Matrix(331,1188,-202,-725) -> Matrix(5,-2,-12,5) Matrix(65,231,-56,-199) -> Matrix(1,0,-4,1) Matrix(67,231,-38,-131) -> Matrix(1,-2,0,1) Matrix(263,891,214,725) -> Matrix(1,-2,4,-7) Matrix(793,2673,294,991) -> Matrix(13,-36,4,-11) Matrix(265,891,-196,-659) -> Matrix(3,-10,-8,27) Matrix(131,429,40,131) -> Matrix(1,8,0,1) Matrix(133,429,-102,-329) -> Matrix(1,2,0,1) Matrix(199,627,126,397) -> Matrix(1,2,0,1) Matrix(197,561,46,131) -> Matrix(1,-2,0,1) Matrix(725,2046,444,1253) -> Matrix(3,-2,8,-5) Matrix(529,1485,306,859) -> Matrix(7,-8,8,-9) Matrix(131,363,-48,-133) -> Matrix(1,-6,0,1) Matrix(1583,4290,438,1187) -> Matrix(1,4,-4,-15) Matrix(2377,6435,1390,3763) -> Matrix(3,8,4,11) Matrix(1123,3036,806,2179) -> Matrix(5,18,8,29) Matrix(991,2673,294,793) -> Matrix(11,36,-4,-13) Matrix(529,1419,148,397) -> Matrix(1,2,0,1) Matrix(199,528,-124,-329) -> Matrix(1,2,0,1) Matrix(263,693,200,527) -> Matrix(1,2,-4,-7) Matrix(2707,7095,1058,2773) -> Matrix(5,6,4,5) Matrix(4157,10890,1738,4553) -> Matrix(1,2,0,1) Matrix(1387,3630,-1084,-2837) -> Matrix(3,4,-4,-5) Matrix(859,2244,632,1651) -> Matrix(3,4,8,11) Matrix(329,858,278,725) -> Matrix(5,8,8,13) Matrix(395,1023,178,461) -> Matrix(9,10,8,9) Matrix(793,2046,512,1321) -> Matrix(3,2,4,3) Matrix(4289,11055,1664,4289) -> Matrix(1,4,0,1) Matrix(923,2376,256,659) -> Matrix(1,2,-4,-7) Matrix(463,1188,-334,-857) -> Matrix(7,10,-12,-17) Matrix(595,1518,78,199) -> Matrix(5,6,4,5) Matrix(725,1848,388,989) -> Matrix(5,6,4,5) Matrix(727,1848,286,727) -> Matrix(21,22,20,21) Matrix(131,330,52,131) -> Matrix(3,2,4,3) Matrix(67,165,54,133) -> Matrix(1,0,4,1) Matrix(395,957,272,659) -> Matrix(1,0,4,1) Matrix(397,957,-246,-593) -> Matrix(1,0,-4,1) Matrix(661,1584,386,925) -> Matrix(3,-4,4,-5) Matrix(331,792,28,67) -> Matrix(1,0,0,1) Matrix(3037,7260,1160,2773) -> Matrix(7,-2,4,-1) Matrix(1783,4257,498,1189) -> Matrix(3,-2,-4,3) Matrix(263,627,138,329) -> Matrix(3,-4,4,-5) Matrix(527,1254,166,395) -> Matrix(1,0,0,1) Matrix(265,627,112,265) -> Matrix(1,-4,0,1) Matrix(527,1221,142,329) -> Matrix(1,2,4,9) Matrix(659,1518,458,1055) -> Matrix(1,2,4,9) Matrix(331,759,58,133) -> Matrix(1,0,0,1) Matrix(463,1056,-260,-593) -> Matrix(1,2,0,1) Matrix(131,297,116,263) -> Matrix(1,2,0,1) Matrix(133,297,30,67) -> Matrix(3,4,-4,-5) Matrix(197,429,-152,-331) -> Matrix(5,4,-4,-3) Matrix(199,429,-122,-263) -> Matrix(3,2,-8,-5) Matrix(329,627,138,263) -> Matrix(5,4,-4,-3) Matrix(989,1848,388,725) -> Matrix(5,6,4,5) Matrix(2177,4059,1380,2573) -> Matrix(3,2,4,3) Matrix(197,363,-108,-199) -> Matrix(3,2,-8,-5) Matrix(1055,1914,436,791) -> Matrix(1,0,4,1) Matrix(529,957,110,199) -> Matrix(1,0,4,1) Matrix(331,594,258,463) -> Matrix(3,2,4,3) Matrix(923,1650,664,1187) -> Matrix(3,2,4,3) Matrix(2441,4356,1072,1913) -> Matrix(17,2,8,1) Matrix(2443,4356,1074,1915) -> Matrix(15,-2,8,-1) Matrix(265,462,152,265) -> Matrix(5,6,4,5) Matrix(989,1716,570,989) -> Matrix(31,30,32,31) Matrix(857,1485,-610,-1057) -> Matrix(13,12,-12,-11) Matrix(859,1485,306,529) -> Matrix(9,8,-8,-7) Matrix(593,1023,382,659) -> Matrix(7,6,8,7) Matrix(1649,2838,-1036,-1783) -> Matrix(9,8,-8,-7) Matrix(1057,1815,654,1123) -> Matrix(5,4,16,13) Matrix(3763,6435,1390,2377) -> Matrix(11,8,4,3) Matrix(3959,6765,2510,4289) -> Matrix(5,4,-4,-3) Matrix(2377,4059,1392,2377) -> Matrix(79,60,104,79) Matrix(331,561,-272,-461) -> Matrix(3,2,4,3) Matrix(1055,1782,312,527) -> Matrix(19,12,-8,-5) Matrix(1253,2112,900,1517) -> Matrix(7,4,12,7) Matrix(923,1551,510,857) -> Matrix(3,2,4,3) Matrix(461,759,280,461) -> Matrix(17,8,36,17) Matrix(1187,1947,442,725) -> Matrix(29,12,12,5) Matrix(989,1617,726,1187) -> Matrix(9,4,20,9) Matrix(1253,2046,444,725) -> Matrix(5,2,-8,-3) Matrix(529,858,82,133) -> Matrix(1,0,0,1) Matrix(1385,2244,366,593) -> Matrix(1,0,4,1) Matrix(4487,7260,2610,4223) -> Matrix(7,6,8,7) Matrix(1123,1815,654,1057) -> Matrix(13,4,16,5) Matrix(2705,4356,1024,1649) -> Matrix(33,2,16,1) Matrix(2707,4356,1026,1651) -> Matrix(31,-2,16,-1) Matrix(331,528,42,67) -> Matrix(1,2,0,1) Matrix(4753,7557,1412,2245) -> Matrix(37,34,-12,-11) Matrix(1121,1782,290,461) -> Matrix(7,6,8,7) Matrix(395,627,332,527) -> Matrix(3,2,4,3) Matrix(397,627,126,199) -> Matrix(1,2,0,1) Matrix(461,726,-294,-463) -> Matrix(3,4,-4,-5) Matrix(3565,5577,2532,3961) -> Matrix(3,2,4,3) Matrix(2047,3201,1098,1717) -> Matrix(7,6,8,7) Matrix(2705,4224,1056,1649) -> Matrix(1,2,0,1) Matrix(2707,4224,1904,2971) -> Matrix(3,2,4,3) Matrix(659,1023,382,593) -> Matrix(7,6,8,7) Matrix(65,99,-44,-67) -> Matrix(3,2,-8,-5) Matrix(659,957,272,395) -> Matrix(1,0,4,1) Matrix(595,858,138,199) -> Matrix(7,2,-4,-1) Matrix(1055,1518,458,659) -> Matrix(9,2,4,1) Matrix(1057,1518,736,1057) -> Matrix(1,0,12,1) Matrix(461,660,322,461) -> Matrix(1,0,0,1) Matrix(4291,6105,3016,4291) -> Matrix(1,0,0,1) Matrix(2971,4224,1904,2707) -> Matrix(3,2,4,3) Matrix(395,561,-326,-463) -> Matrix(1,0,0,1) Matrix(1189,1683,840,1189) -> Matrix(1,0,0,1) Matrix(725,1023,-562,-793) -> Matrix(3,4,-4,-5) Matrix(4289,6039,2718,3827) -> Matrix(1,2,0,1) Matrix(331,462,48,67) -> Matrix(3,2,4,3) Matrix(1517,2112,900,1253) -> Matrix(7,4,12,7) Matrix(1187,1650,664,923) -> Matrix(3,2,4,3) Matrix(2377,3300,1522,2113) -> Matrix(7,4,12,7) Matrix(4685,6501,1664,2309) -> Matrix(3,2,-8,-5) Matrix(263,363,-192,-265) -> Matrix(11,6,-24,-13) Matrix(1187,1617,726,989) -> Matrix(9,4,20,9) Matrix(1651,2244,632,859) -> Matrix(11,4,8,3) Matrix(527,693,200,263) -> Matrix(7,-2,4,-1) Matrix(1123,1452,256,331) -> Matrix(9,8,-8,-7) Matrix(463,594,258,331) -> Matrix(3,2,4,3) Matrix(2839,3630,1188,1519) -> Matrix(3,2,-8,-5) Matrix(595,759,156,199) -> Matrix(7,4,12,7) Matrix(131,165,104,131) -> Matrix(5,2,12,5) Matrix(133,165,54,67) -> Matrix(1,0,4,1) Matrix(527,627,332,395) -> Matrix(3,2,4,3) Matrix(197,231,168,197) -> Matrix(5,2,12,5) Matrix(263,297,116,131) -> Matrix(1,2,0,1) Matrix(1,0,2,1) -> Matrix(1,0,4,1) Matrix(265,-297,58,-65) -> Matrix(1,0,-4,1) Matrix(199,-231,56,-65) -> Matrix(1,0,-4,1) Matrix(925,-1089,784,-923) -> Matrix(21,-10,40,-19) Matrix(463,-561,326,-395) -> Matrix(1,0,0,1) Matrix(461,-561,272,-331) -> Matrix(3,2,4,3) Matrix(727,-891,430,-527) -> Matrix(13,-2,20,-3) Matrix(859,-1089,676,-857) -> Matrix(29,-14,56,-27) Matrix(1189,-1518,206,-263) -> Matrix(13,-8,-8,5) Matrix(2837,-3630,1084,-1387) -> Matrix(5,-4,4,-3) Matrix(793,-1023,562,-725) -> Matrix(5,-4,4,-3) Matrix(791,-1023,358,-463) -> Matrix(13,-12,12,-11) Matrix(331,-429,152,-197) -> Matrix(3,-4,4,-5) Matrix(329,-429,102,-133) -> Matrix(1,2,0,1) Matrix(529,-693,100,-131) -> Matrix(1,2,0,1) Matrix(659,-891,196,-265) -> Matrix(27,-10,-8,3) Matrix(925,-1254,194,-263) -> Matrix(5,-2,28,-11) Matrix(3299,-4488,874,-1189) -> Matrix(5,-2,8,-3) Matrix(265,-363,192,-263) -> Matrix(13,-6,24,-11) Matrix(857,-1188,334,-463) -> Matrix(17,-10,12,-7) Matrix(727,-1023,140,-197) -> Matrix(1,0,0,1) Matrix(9373,-13200,2530,-3563) -> Matrix(1,0,4,1) Matrix(397,-561,46,-65) -> Matrix(1,-2,0,1) Matrix(6931,-9801,4900,-6929) -> Matrix(1,-8,0,1) Matrix(19141,-27225,13456,-19139) -> Matrix(1,-2,0,1) Matrix(857,-1221,186,-265) -> Matrix(1,0,-4,1) Matrix(527,-759,184,-265) -> Matrix(1,0,-4,1) Matrix(661,-957,364,-527) -> Matrix(1,0,0,1) Matrix(67,-99,44,-65) -> Matrix(5,-2,8,-3) Matrix(529,-825,84,-131) -> Matrix(3,-2,-4,3) Matrix(463,-726,294,-461) -> Matrix(5,-4,4,-3) Matrix(3763,-5940,1630,-2573) -> Matrix(1,0,0,1) Matrix(1189,-1881,500,-791) -> Matrix(1,-2,0,1) Matrix(1519,-2409,582,-923) -> Matrix(7,-2,4,-1) Matrix(727,-1155,124,-197) -> Matrix(3,-2,-4,3) Matrix(5147,-8184,1910,-3037) -> Matrix(49,-46,16,-15) Matrix(1783,-2838,1036,-1649) -> Matrix(7,-8,8,-9) Matrix(329,-528,124,-199) -> Matrix(1,2,0,1) Matrix(593,-957,246,-397) -> Matrix(1,0,-4,1) Matrix(3367,-5445,734,-1187) -> Matrix(5,-2,-12,5) Matrix(2243,-3630,490,-793) -> Matrix(1,0,-4,1) Matrix(263,-429,122,-199) -> Matrix(5,-2,8,-3) Matrix(12343,-20163,3272,-5345) -> Matrix(5,-2,28,-11) Matrix(14321,-23397,3798,-6205) -> Matrix(5,-2,-12,5) Matrix(725,-1188,202,-331) -> Matrix(5,-2,-12,5) Matrix(661,-1089,400,-659) -> Matrix(29,-14,56,-27) Matrix(197,-330,40,-67) -> Matrix(3,-2,8,-5) Matrix(329,-561,78,-133) -> Matrix(11,-8,-4,3) Matrix(5743,-9801,3364,-5741) -> Matrix(193,-144,256,-191) Matrix(1583,-2706,850,-1453) -> Matrix(23,-18,32,-25) Matrix(3433,-5907,920,-1583) -> Matrix(7,-6,20,-17) Matrix(1781,-3069,690,-1189) -> Matrix(5,-4,4,-3) Matrix(4883,-8448,1908,-3301) -> Matrix(13,-12,12,-11) Matrix(991,-1716,190,-329) -> Matrix(13,-12,12,-11) Matrix(131,-231,38,-67) -> Matrix(1,-2,0,1) Matrix(593,-1056,260,-463) -> Matrix(1,2,0,1) Matrix(2969,-5379,802,-1453) -> Matrix(1,0,4,1) Matrix(199,-363,108,-197) -> Matrix(5,-2,8,-3) Matrix(661,-1518,172,-395) -> Matrix(3,-4,4,-5) Matrix(15773,-36432,4258,-9835) -> Matrix(3,-4,16,-21) Matrix(1385,-3201,286,-661) -> Matrix(1,-2,4,-7) Matrix(463,-1089,196,-461) -> Matrix(1,-10,0,1) Matrix(1981,-4719,526,-1253) -> Matrix(1,2,0,1) Matrix(1189,-2838,442,-1055) -> Matrix(11,8,4,3) Matrix(3433,-8217,1268,-3035) -> Matrix(1,4,0,1) Matrix(461,-1122,136,-331) -> Matrix(1,-2,0,1) Matrix(1255,-3201,336,-857) -> Matrix(5,-6,16,-19) Matrix(10561,-27225,4096,-10559) -> Matrix(1,-4,0,1) Matrix(331,-858,76,-197) -> Matrix(5,-6,-4,5) Matrix(529,-1386,50,-131) -> Matrix(1,-2,0,1) Matrix(1913,-5016,680,-1783) -> Matrix(1,-2,0,1) Matrix(5281,-14223,1568,-4223) -> Matrix(59,-174,-20,59) Matrix(10889,-29337,3234,-8713) -> Matrix(121,-366,-40,121) Matrix(659,-1782,98,-265) -> Matrix(1,-4,4,-15) Matrix(133,-363,48,-131) -> Matrix(1,-6,0,1) Matrix(331,-1089,100,-329) -> Matrix(1,-20,0,1) Matrix(593,-2145,128,-463) -> Matrix(1,0,0,1) Matrix(199,-726,54,-197) -> Matrix(1,0,8,1) Matrix(35575,-131769,9604,-35573) -> Matrix(13,-2,72,-11) Matrix(131,-627,14,-67) -> Matrix(1,0,-4,1) Matrix(67,-363,12,-65) -> Matrix(1,-4,0,1) 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 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 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 0/1 2 1 1/1 (0/1,1/2) 0 33 8/7 (0/1,1/4) 0 33 7/6 (1/3,1/2) 0 33 33/28 1/2 10 1 13/11 (1/2,4/7) 0 33 6/5 0 11 17/14 (0/1,1/0) 0 33 11/9 0/1 4 3 5/4 (1/3,1/2) 0 33 33/26 1/2 14 1 14/11 (1/2,6/11) 0 33 23/18 (1/2,2/3) 0 33 32/25 (1/2,2/3) 0 33 9/7 0 11 31/24 (5/6,1/1) 0 33 22/17 1/1 8 3 13/10 (2/1,1/0) 0 33 17/13 (0/1,1/0) 0 33 4/3 (0/1,1/4) 0 33 23/17 (3/8,8/21) 0 33 19/14 (2/5,5/12) 0 33 34/25 (2/5,1/2) 0 33 15/11 0 11 11/8 1/2 6 3 18/13 0 11 25/18 (5/8,2/3) 0 33 32/23 (1/2,2/3) 0 33 39/28 1/2 2 11 7/5 (3/4,1/1) 0 33 38/27 (1/2,1/1) 0 33 31/22 (1/2,1/1) 0 33 24/17 0 11 41/29 (4/1,1/0) 0 33 99/70 1/0 8 1 17/12 (0/1,1/0) 0 33 27/19 0 11 64/45 (1/1,1/0) 0 33 165/116 1/0 2 1 37/26 (0/1,1/0) 0 33 10/7 (0/1,1/0) 0 33 33/23 0/1 6 1 23/16 (0/1,1/6) 0 33 36/25 0 11 13/9 (0/1,1/2) 0 33 16/11 (0/1,1/4) 0 33 3/2 1/2 2 11 17/11 (2/3,3/4) 0 33 14/9 (0/1,1/2) 0 33 39/25 0 11 64/41 (3/4,1/1) 0 33 25/16 (2/3,3/4) 0 33 11/7 1/1 2 3 41/26 (2/1,1/0) 0 33 71/45 (1/1,3/2) 0 33 101/64 (1/1,3/2) 0 33 30/19 0 11 19/12 (0/1,1/0) 0 33 46/29 (2/5,1/2) 0 33 27/17 0 11 62/39 (7/8,8/9) 0 33 35/22 (1/1,7/6) 0 33 8/5 (0/1,1/0) 0 33 29/18 (0/1,1/8) 0 33 21/13 0 11 55/34 1/2 2 3 34/21 (0/1,1/2) 0 33 47/29 (1/2,2/3) 0 33 13/8 (0/1,1/4) 0 33 31/19 (1/3,3/8) 0 33 49/30 (3/8,2/5) 0 33 67/41 (2/5,1/2) 0 33 18/11 0 11 23/14 (4/9,1/2) 0 33 33/20 1/2 14 1 5/3 (1/2,3/5) 0 33 32/19 (1/2,2/3) 0 33 27/16 1/2 2 11 22/13 2/3 4 3 17/10 (2/3,3/4) 0 33 29/17 (14/19,3/4) 0 33 99/58 3/4 16 1 41/24 (3/4,10/13) 0 33 53/31 (11/14,4/5) 0 33 12/7 0 11 55/32 5/6 2 3 43/25 (6/7,7/8) 0 33 74/43 (7/8,8/9) 0 33 31/18 (1/2,1/1) 0 33 50/29 (3/4,4/5) 0 33 19/11 (5/6,6/7) 0 33 45/26 9/10 2 11 26/15 (15/16,1/1) 0 33 33/19 1/1 18 1 7/4 (1/1,3/2) 0 33 16/9 (0/1,1/0) 0 33 25/14 (0/1,1/4) 0 33 34/19 (0/1,1/2) 0 33 9/5 0 11 29/16 (0/1,1/0) 0 33 20/11 (0/1,1/2) 0 33 11/6 1/2 2 3 13/7 (1/2,2/3) 0 33 41/22 (3/4,4/5) 0 33 28/15 (5/6,1/1) 0 33 15/8 1/2 2 11 2/1 (1/1,1/0) 0 33 13/6 (2/3,3/4) 0 33 11/5 1/1 8 3 9/4 3/2 2 11 34/15 (3/2,2/1) 0 33 25/11 (7/4,2/1) 0 33 66/29 2/1 8 1 41/18 (2/1,9/4) 0 33 16/7 (2/1,1/0) 0 33 23/10 (3/2,2/1) 0 33 30/13 0 11 7/3 (3/1,1/0) 0 33 33/14 1/0 10 1 19/8 (-2/1,1/0) 0 33 50/21 (-2/1,1/0) 0 33 81/34 -3/2 2 11 31/13 (-5/4,-1/1) 0 33 43/18 (-1/2,0/1) 0 33 55/23 0/1 2 3 67/28 (0/1,1/0) 0 33 12/5 0 11 29/12 (0/1,1/4) 0 33 46/19 (0/1,1/2) 0 33 17/7 (0/1,1/0) 0 33 22/9 0/1 4 3 5/2 (1/2,1/1) 0 33 33/13 1/1 12 1 28/11 (1/1,11/10) 0 33 51/20 7/6 2 11 23/9 (6/5,5/4) 0 33 64/25 (1/1,5/4) 0 33 41/16 (5/4,4/3) 0 33 18/7 0 11 67/26 (2/1,1/0) 0 33 165/64 1/0 4 1 49/19 (0/1,1/0) 0 33 31/12 (1/1,3/2) 0 33 13/5 (4/3,3/2) 0 33 47/18 (7/4,2/1) 0 33 34/13 (3/2,2/1) 0 33 89/34 (3/2,2/1) 0 33 55/21 2/1 2 3 76/29 (0/1,1/0) 0 33 21/8 3/2 2 11 50/19 (7/4,2/1) 0 33 29/11 (15/8,2/1) 0 33 66/25 2/1 16 1 37/14 (2/1,17/8) 0 33 8/3 (2/1,1/0) 0 33 35/13 (23/8,3/1) 0 33 27/10 7/2 2 11 46/17 (4/1,9/2) 0 33 111/41 0 11 65/24 (4/1,1/0) 0 33 19/7 (4/1,9/2) 0 33 11/4 1/0 6 3 14/5 (-2/1,-3/2) 0 33 45/16 -1/2 2 11 76/27 (-2/1,1/0) 0 33 31/11 (-1/1,1/0) 0 33 17/6 (0/1,1/0) 0 33 3/1 0 11 19/6 (2/1,1/0) 0 33 16/5 (2/1,1/0) 0 33 13/4 (4/1,1/0) 0 33 33/10 1/0 20 1 10/3 (-6/1,1/0) 0 33 37/11 (-10/3,-13/4) 0 33 101/30 (-55/18,-3/1) 0 33 165/49 -3/1 30 1 64/19 (-3/1,-35/12) 0 33 27/8 -5/2 2 11 44/13 -2/1 4 3 17/5 (-2/1,1/0) 0 33 7/2 (-1/1,-1/2) 0 33 25/7 (0/1,1/0) 0 33 68/19 (-1/1,-7/8) 0 33 43/12 (-2/3,-1/2) 0 33 18/5 0 11 65/18 (-1/4,0/1) 0 33 47/13 (-1/6,0/1) 0 33 29/8 (-1/4,0/1) 0 33 11/3 0/1 4 3 37/10 (0/1,1/4) 0 33 100/27 (0/1,1/6) 0 33 363/98 1/6 2 1 163/44 (1/6,1/5) 0 33 63/17 0 11 26/7 (1/4,1/3) 0 33 15/4 1/2 2 11 49/13 (0/1,1/0) 0 33 132/35 0/1 4 1 83/22 (0/1,1/4) 0 33 34/9 (0/1,1/2) 0 33 19/5 (2/5,1/2) 0 33 23/6 (1/2,2/3) 0 33 4/1 (2/1,1/0) 0 33 17/4 (-2/1,1/0) 0 33 30/7 0 11 13/3 (-2/1,-3/2) 0 33 35/8 (-3/2,-1/1) 0 33 22/5 -1/1 8 3 9/2 -1/2 2 11 32/7 (-1/2,0/1) 0 33 55/12 -1/2 2 3 23/5 (-1/4,0/1) 0 33 37/8 (-1/4,0/1) 0 33 14/3 (-1/6,0/1) 0 33 33/7 0/1 14 1 19/4 (0/1,1/8) 0 33 43/9 (1/4,2/7) 0 33 24/5 0 11 29/6 (0/1,1/4) 0 33 34/7 (0/1,1/2) 0 33 5/1 (1/2,1/1) 0 33 26/5 (3/4,1/1) 0 33 21/4 3/2 2 11 16/3 (2/1,1/0) 0 33 11/2 1/0 4 3 17/3 (-2/1,1/0) 0 33 23/4 (-2/1,-3/2) 0 33 29/5 (-5/4,-6/5) 0 33 6/1 0 11 19/3 (-2/3,-1/2) 0 33 13/2 (-1/4,0/1) 0 33 33/5 0/1 10 1 20/3 (0/1,1/6) 0 33 27/4 1/2 2 11 7/1 (1/1,1/0) 0 33 15/2 1/2 2 11 23/3 (0/1,1/0) 0 33 8/1 (2/1,1/0) 0 33 9/1 0 11 10/1 (-2/1,1/0) 0 33 11/1 0/1 2 3 1/0 (0/1,1/0) 0 33 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(1,0,2,-1) (0/1,1/1) -> (0/1,1/1) Reflection Matrix(263,-297,116,-131) (1/1,8/7) -> (34/15,25/11) Glide Reflection Matrix(199,-231,56,-65) (8/7,7/6) -> (7/2,25/7) Hyperbolic Matrix(197,-231,168,-197) (7/6,33/28) -> (7/6,33/28) Reflection Matrix(727,-858,616,-727) (33/28,13/11) -> (33/28,13/11) Reflection Matrix(527,-627,332,-395) (13/11,6/5) -> (46/29,27/17) Glide Reflection Matrix(463,-561,326,-395) (6/5,17/14) -> (17/12,27/19) Hyperbolic Matrix(461,-561,272,-331) (17/14,11/9) -> (22/13,17/10) Hyperbolic Matrix(133,-165,54,-67) (11/9,5/4) -> (22/9,5/2) Glide Reflection Matrix(131,-165,104,-131) (5/4,33/26) -> (5/4,33/26) Reflection Matrix(727,-924,572,-727) (33/26,14/11) -> (33/26,14/11) Reflection Matrix(595,-759,156,-199) (14/11,23/18) -> (19/5,23/6) Glide Reflection Matrix(2837,-3630,1084,-1387) (23/18,32/25) -> (34/13,89/34) Hyperbolic Matrix(463,-594,258,-331) (32/25,9/7) -> (34/19,9/5) Glide Reflection Matrix(793,-1023,562,-725) (9/7,31/24) -> (31/22,24/17) Hyperbolic Matrix(1123,-1452,256,-331) (31/24,22/17) -> (35/8,22/5) Glide Reflection Matrix(331,-429,152,-197) (22/17,13/10) -> (13/6,11/5) Hyperbolic Matrix(329,-429,102,-133) (13/10,17/13) -> (16/5,13/4) Hyperbolic Matrix(527,-693,200,-263) (17/13,4/3) -> (50/19,29/11) Glide Reflection Matrix(659,-891,196,-265) (4/3,23/17) -> (10/3,37/11) Hyperbolic Matrix(925,-1254,194,-263) (23/17,19/14) -> (19/4,43/9) Hyperbolic Matrix(1651,-2244,632,-859) (19/14,34/25) -> (47/18,34/13) Glide Reflection Matrix(1187,-1617,726,-989) (34/25,15/11) -> (67/41,18/11) Glide Reflection Matrix(265,-363,192,-263) (15/11,11/8) -> (11/8,18/13) Parabolic Matrix(857,-1188,334,-463) (18/13,25/18) -> (41/16,18/7) Hyperbolic Matrix(1187,-1650,664,-923) (25/18,32/23) -> (25/14,34/19) Glide Reflection Matrix(1517,-2112,900,-1253) (32/23,39/28) -> (32/19,27/16) Glide Reflection Matrix(331,-462,48,-67) (39/28,7/5) -> (27/4,7/1) Glide Reflection Matrix(727,-1023,140,-197) (7/5,38/27) -> (5/1,26/5) Hyperbolic Matrix(4289,-6039,2718,-3827) (38/27,31/22) -> (71/45,101/64) Glide Reflection Matrix(397,-561,46,-65) (24/17,41/29) -> (8/1,9/1) Hyperbolic Matrix(5741,-8118,4060,-5741) (41/29,99/70) -> (41/29,99/70) Reflection Matrix(1189,-1683,840,-1189) (99/70,17/12) -> (99/70,17/12) Reflection Matrix(2971,-4224,1904,-2707) (27/19,64/45) -> (39/25,64/41) Glide Reflection Matrix(14849,-21120,10440,-14849) (64/45,165/116) -> (64/45,165/116) Reflection Matrix(4291,-6105,3016,-4291) (165/116,37/26) -> (165/116,37/26) Reflection Matrix(857,-1221,186,-265) (37/26,10/7) -> (23/5,37/8) Hyperbolic Matrix(461,-660,322,-461) (10/7,33/23) -> (10/7,33/23) Reflection Matrix(1057,-1518,736,-1057) (33/23,23/16) -> (33/23,23/16) Reflection Matrix(1055,-1518,458,-659) (23/16,36/25) -> (23/10,30/13) Glide Reflection Matrix(595,-858,138,-199) (36/25,13/9) -> (30/7,13/3) Glide Reflection Matrix(659,-957,272,-395) (13/9,16/11) -> (46/19,17/7) Glide Reflection Matrix(67,-99,44,-65) (16/11,3/2) -> (3/2,17/11) Parabolic Matrix(659,-1023,382,-593) (17/11,14/9) -> (50/29,19/11) Glide Reflection Matrix(529,-825,84,-131) (14/9,39/25) -> (6/1,19/3) Hyperbolic Matrix(2705,-4224,1056,-1649) (64/41,25/16) -> (64/25,41/16) Glide Reflection Matrix(463,-726,294,-461) (25/16,11/7) -> (11/7,41/26) Parabolic Matrix(2573,-4059,1380,-2177) (41/26,71/45) -> (41/22,28/15) Glide Reflection Matrix(7129,-11253,1924,-3037) (101/64,30/19) -> (163/44,63/17) Glide Reflection Matrix(397,-627,126,-199) (30/19,19/12) -> (3/1,19/6) Glide Reflection Matrix(1519,-2409,582,-923) (19/12,46/29) -> (13/5,47/18) Hyperbolic Matrix(727,-1155,124,-197) (27/17,62/39) -> (29/5,6/1) Hyperbolic Matrix(4753,-7557,1412,-2245) (62/39,35/22) -> (37/11,101/30) Glide Reflection 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(593,-957,246,-397) (29/18,21/13) -> (12/5,29/12) Hyperbolic Matrix(1123,-1815,654,-1057) (21/13,55/34) -> (12/7,55/32) Glide Reflection Matrix(2243,-3630,490,-793) (55/34,34/21) -> (32/7,55/12) Hyperbolic Matrix(1385,-2244,366,-593) (34/21,47/29) -> (34/9,19/5) Glide Reflection Matrix(529,-858,82,-133) (47/29,13/8) -> (19/3,13/2) Glide Reflection Matrix(263,-429,122,-199) (13/8,31/19) -> (2/1,13/6) Hyperbolic Matrix(1253,-2046,444,-725) (31/19,49/30) -> (31/11,17/6) Glide Reflection Matrix(4423,-7227,1172,-1915) (49/30,67/41) -> (83/22,34/9) Glide Reflection Matrix(725,-1188,202,-331) (18/11,23/14) -> (43/12,18/5) Hyperbolic Matrix(461,-759,280,-461) (23/14,33/20) -> (23/14,33/20) Reflection Matrix(199,-330,120,-199) (33/20,5/3) -> (33/20,5/3) Reflection Matrix(197,-330,40,-67) (5/3,32/19) -> (34/7,5/1) Hyperbolic Matrix(1055,-1782,312,-527) (27/16,22/13) -> (27/8,44/13) Glide Reflection Matrix(329,-561,78,-133) (17/10,29/17) -> (4/1,17/4) Hyperbolic Matrix(3365,-5742,1972,-3365) (29/17,99/58) -> (29/17,99/58) Reflection Matrix(2377,-4059,1392,-2377) (99/58,41/24) -> (99/58,41/24) Reflection Matrix(1583,-2706,850,-1453) (41/24,53/31) -> (13/7,41/22) Hyperbolic Matrix(3763,-6435,1390,-2377) (53/31,12/7) -> (46/17,111/41) Glide Reflection Matrix(2111,-3630,460,-791) (55/32,43/25) -> (55/12,23/5) Glide Reflection Matrix(1189,-2046,154,-265) (43/25,74/43) -> (23/3,8/1) Glide Reflection Matrix(1781,-3069,690,-1189) (31/18,50/29) -> (49/19,31/12) Hyperbolic Matrix(859,-1485,306,-529) (19/11,45/26) -> (14/5,45/16) Glide Reflection Matrix(991,-1716,190,-329) (45/26,26/15) -> (26/5,21/4) Hyperbolic Matrix(989,-1716,570,-989) (26/15,33/19) -> (26/15,33/19) Reflection Matrix(265,-462,152,-265) (33/19,7/4) -> (33/19,7/4) Reflection Matrix(131,-231,38,-67) (7/4,16/9) -> (17/5,7/2) Hyperbolic Matrix(593,-1056,260,-463) (16/9,25/14) -> (41/18,16/7) Hyperbolic Matrix(529,-957,110,-199) (9/5,29/16) -> (24/5,29/6) Glide Reflection Matrix(1055,-1914,436,-791) (29/16,20/11) -> (29/12,46/19) Glide Reflection Matrix(199,-363,108,-197) (20/11,11/6) -> (11/6,13/7) Parabolic Matrix(989,-1848,388,-725) (28/15,15/8) -> (28/11,51/20) Glide Reflection Matrix(329,-627,138,-263) (15/8,2/1) -> (81/34,31/13) Glide Reflection Matrix(133,-297,30,-67) (11/5,9/4) -> (22/5,9/2) Glide Reflection Matrix(263,-594,58,-131) (9/4,34/15) -> (9/2,32/7) Glide Reflection Matrix(1451,-3300,638,-1451) (25/11,66/29) -> (25/11,66/29) Reflection Matrix(2377,-5412,1044,-2377) (66/29,41/18) -> (66/29,41/18) Reflection Matrix(331,-759,58,-133) (16/7,23/10) -> (17/3,23/4) Glide Reflection Matrix(527,-1221,142,-329) (30/13,7/3) -> (63/17,26/7) Glide Reflection Matrix(197,-462,84,-197) (7/3,33/14) -> (7/3,33/14) Reflection Matrix(265,-627,112,-265) (33/14,19/8) -> (33/14,19/8) Reflection Matrix(527,-1254,166,-395) (19/8,50/21) -> (19/6,16/5) Glide Reflection Matrix(1981,-4719,526,-1253) (50/21,81/34) -> (15/4,49/13) Hyperbolic Matrix(1783,-4257,498,-1189) (31/13,43/18) -> (68/19,43/12) Glide Reflection Matrix(3037,-7260,1160,-2773) (43/18,55/23) -> (89/34,55/21) Glide Reflection Matrix(331,-792,28,-67) (55/23,67/28) -> (11/1,1/0) Glide Reflection Matrix(3433,-8217,1268,-3035) (67/28,12/5) -> (111/41,65/24) Hyperbolic Matrix(461,-1122,136,-331) (17/7,22/9) -> (44/13,17/5) Hyperbolic Matrix(131,-330,52,-131) (5/2,33/13) -> (5/2,33/13) Reflection Matrix(727,-1848,286,-727) (33/13,28/11) -> (33/13,28/11) Reflection Matrix(595,-1518,78,-199) (51/20,23/9) -> (15/2,23/3) Glide Reflection Matrix(2179,-5577,774,-1981) (23/9,64/25) -> (76/27,31/11) Glide Reflection Matrix(923,-2376,256,-659) (18/7,67/26) -> (18/5,65/18) Glide Reflection Matrix(4289,-11055,1664,-4289) (67/26,165/64) -> (67/26,165/64) Reflection Matrix(6271,-16170,2432,-6271) (165/64,49/19) -> (165/64,49/19) Reflection 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(527,-1386,100,-263) (21/8,50/19) -> (21/4,16/3) Glide Reflection Matrix(1451,-3828,550,-1451) (29/11,66/25) -> (29/11,66/25) Reflection Matrix(1849,-4884,700,-1849) (66/25,37/14) -> (66/25,37/14) Reflection Matrix(529,-1419,148,-397) (8/3,35/13) -> (25/7,68/19) Glide Reflection Matrix(991,-2673,294,-793) (35/13,27/10) -> (64/19,27/8) Glide Reflection Matrix(659,-1782,98,-265) (27/10,46/17) -> (20/3,27/4) Hyperbolic Matrix(1583,-4290,438,-1187) (65/24,19/7) -> (65/18,47/13) Glide Reflection Matrix(133,-363,48,-131) (19/7,11/4) -> (11/4,14/5) Parabolic Matrix(197,-561,46,-131) (17/6,3/1) -> (17/4,30/7) Glide Reflection Matrix(131,-429,40,-131) (13/4,33/10) -> (13/4,33/10) Reflection Matrix(199,-660,60,-199) (33/10,10/3) -> (33/10,10/3) Reflection Matrix(9899,-33330,2940,-9899) (101/30,165/49) -> (101/30,165/49) Reflection Matrix(6271,-21120,1862,-6271) (165/49,64/19) -> (165/49,64/19) Reflection Matrix(593,-2145,128,-463) (47/13,29/8) -> (37/8,14/3) Hyperbolic Matrix(199,-726,54,-197) (29/8,11/3) -> (11/3,37/10) Parabolic Matrix(1123,-4158,232,-859) (37/10,100/27) -> (29/6,34/7) Glide Reflection Matrix(19601,-72600,5292,-19601) (100/27,363/98) -> (100/27,363/98) Reflection Matrix(15973,-59169,4312,-15973) (363/98,163/44) -> (363/98,163/44) Reflection Matrix(133,-495,18,-67) (26/7,15/4) -> (7/1,15/2) Glide Reflection Matrix(3431,-12936,910,-3431) (49/13,132/35) -> (49/13,132/35) Reflection Matrix(5809,-21912,1540,-5809) (132/35,83/22) -> (132/35,83/22) Reflection Matrix(197,-759,34,-131) (23/6,4/1) -> (23/4,29/5) Glide Reflection Matrix(197,-924,42,-197) (14/3,33/7) -> (14/3,33/7) Reflection Matrix(265,-1254,56,-265) (33/7,19/4) -> (33/7,19/4) Reflection Matrix(131,-627,14,-67) (43/9,24/5) -> (9/1,10/1) Hyperbolic Matrix(67,-363,12,-65) (16/3,11/2) -> (11/2,17/3) Parabolic Matrix(131,-858,20,-131) (13/2,33/5) -> (13/2,33/5) Reflection Matrix(199,-1320,30,-199) (33/5,20/3) -> (33/5,20/3) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Matrix(1,0,2,-1) -> Matrix(1,0,4,-1) (0/1,1/1) -> (0/1,1/2) Matrix(263,-297,116,-131) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(199,-231,56,-65) -> Matrix(1,0,-4,1) 0/1 Matrix(197,-231,168,-197) -> Matrix(5,-2,12,-5) (7/6,33/28) -> (1/3,1/2) Matrix(727,-858,616,-727) -> Matrix(15,-8,28,-15) (33/28,13/11) -> (1/2,4/7) Matrix(527,-627,332,-395) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(463,-561,326,-395) -> Matrix(1,0,0,1) Matrix(461,-561,272,-331) -> Matrix(3,2,4,3) Matrix(133,-165,54,-67) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(131,-165,104,-131) -> Matrix(5,-2,12,-5) (5/4,33/26) -> (1/3,1/2) Matrix(727,-924,572,-727) -> Matrix(23,-12,44,-23) (33/26,14/11) -> (1/2,6/11) Matrix(595,-759,156,-199) -> Matrix(7,-4,12,-7) *** -> (1/2,2/3) Matrix(2837,-3630,1084,-1387) -> Matrix(5,-4,4,-3) 1/1 Matrix(463,-594,258,-331) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(793,-1023,562,-725) -> Matrix(5,-4,4,-3) 1/1 Matrix(1123,-1452,256,-331) -> Matrix(9,-8,-8,7) Matrix(331,-429,152,-197) -> Matrix(3,-4,4,-5) 1/1 Matrix(329,-429,102,-133) -> Matrix(1,2,0,1) 1/0 Matrix(527,-693,200,-263) -> Matrix(7,2,4,1) Matrix(659,-891,196,-265) -> Matrix(27,-10,-8,3) Matrix(925,-1254,194,-263) -> Matrix(5,-2,28,-11) Matrix(1651,-2244,632,-859) -> Matrix(11,-4,8,-3) Matrix(1187,-1617,726,-989) -> Matrix(9,-4,20,-9) *** -> (2/5,1/2) Matrix(265,-363,192,-263) -> Matrix(13,-6,24,-11) 1/2 Matrix(857,-1188,334,-463) -> Matrix(17,-10,12,-7) Matrix(1187,-1650,664,-923) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(1517,-2112,900,-1253) -> Matrix(7,-4,12,-7) *** -> (1/2,2/3) Matrix(331,-462,48,-67) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(727,-1023,140,-197) -> Matrix(1,0,0,1) Matrix(4289,-6039,2718,-3827) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(397,-561,46,-65) -> Matrix(1,-2,0,1) 1/0 Matrix(5741,-8118,4060,-5741) -> Matrix(-1,8,0,1) (41/29,99/70) -> (4/1,1/0) Matrix(1189,-1683,840,-1189) -> Matrix(1,0,0,-1) (99/70,17/12) -> (0/1,1/0) Matrix(2971,-4224,1904,-2707) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(14849,-21120,10440,-14849) -> Matrix(-1,2,0,1) (64/45,165/116) -> (1/1,1/0) Matrix(4291,-6105,3016,-4291) -> Matrix(1,0,0,-1) (165/116,37/26) -> (0/1,1/0) Matrix(857,-1221,186,-265) -> Matrix(1,0,-4,1) 0/1 Matrix(461,-660,322,-461) -> Matrix(1,0,0,-1) (10/7,33/23) -> (0/1,1/0) Matrix(1057,-1518,736,-1057) -> Matrix(1,0,12,-1) (33/23,23/16) -> (0/1,1/6) Matrix(1055,-1518,458,-659) -> Matrix(9,-2,4,-1) Matrix(595,-858,138,-199) -> Matrix(7,-2,-4,1) Matrix(659,-957,272,-395) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(67,-99,44,-65) -> Matrix(5,-2,8,-3) 1/2 Matrix(659,-1023,382,-593) -> Matrix(7,-6,8,-7) *** -> (3/4,1/1) Matrix(529,-825,84,-131) -> Matrix(3,-2,-4,3) Matrix(2705,-4224,1056,-1649) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(463,-726,294,-461) -> Matrix(5,-4,4,-3) 1/1 Matrix(2573,-4059,1380,-2177) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(7129,-11253,1924,-3037) -> Matrix(1,-2,4,-9) Matrix(397,-627,126,-199) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1519,-2409,582,-923) -> Matrix(7,-2,4,-1) Matrix(727,-1155,124,-197) -> Matrix(3,-2,-4,3) Matrix(4753,-7557,1412,-2245) -> Matrix(37,-34,-12,11) Matrix(1783,-2838,1036,-1649) -> Matrix(7,-8,8,-9) 1/1 Matrix(329,-528,124,-199) -> Matrix(1,2,0,1) 1/0 Matrix(593,-957,246,-397) -> Matrix(1,0,-4,1) 0/1 Matrix(1123,-1815,654,-1057) -> Matrix(13,-4,16,-5) Matrix(2243,-3630,490,-793) -> Matrix(1,0,-4,1) 0/1 Matrix(1385,-2244,366,-593) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(529,-858,82,-133) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(263,-429,122,-199) -> Matrix(5,-2,8,-3) 1/2 Matrix(1253,-2046,444,-725) -> Matrix(5,-2,-8,3) Matrix(4423,-7227,1172,-1915) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(725,-1188,202,-331) -> Matrix(5,-2,-12,5) Matrix(461,-759,280,-461) -> Matrix(17,-8,36,-17) (23/14,33/20) -> (4/9,1/2) Matrix(199,-330,120,-199) -> Matrix(11,-6,20,-11) (33/20,5/3) -> (1/2,3/5) Matrix(197,-330,40,-67) -> Matrix(3,-2,8,-5) 1/2 Matrix(1055,-1782,312,-527) -> Matrix(19,-12,-8,5) Matrix(329,-561,78,-133) -> Matrix(11,-8,-4,3) Matrix(3365,-5742,1972,-3365) -> Matrix(113,-84,152,-113) (29/17,99/58) -> (14/19,3/4) Matrix(2377,-4059,1392,-2377) -> Matrix(79,-60,104,-79) (99/58,41/24) -> (3/4,10/13) Matrix(1583,-2706,850,-1453) -> Matrix(23,-18,32,-25) 3/4 Matrix(3763,-6435,1390,-2377) -> Matrix(11,-8,4,-3) Matrix(2111,-3630,460,-791) -> Matrix(7,-6,-20,17) Matrix(1189,-2046,154,-265) -> Matrix(7,-6,8,-7) *** -> (3/4,1/1) Matrix(1781,-3069,690,-1189) -> Matrix(5,-4,4,-3) 1/1 Matrix(859,-1485,306,-529) -> Matrix(9,-8,-8,7) Matrix(991,-1716,190,-329) -> Matrix(13,-12,12,-11) 1/1 Matrix(989,-1716,570,-989) -> Matrix(31,-30,32,-31) (26/15,33/19) -> (15/16,1/1) Matrix(265,-462,152,-265) -> Matrix(5,-6,4,-5) (33/19,7/4) -> (1/1,3/2) Matrix(131,-231,38,-67) -> Matrix(1,-2,0,1) 1/0 Matrix(593,-1056,260,-463) -> Matrix(1,2,0,1) 1/0 Matrix(529,-957,110,-199) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1055,-1914,436,-791) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(199,-363,108,-197) -> Matrix(5,-2,8,-3) 1/2 Matrix(989,-1848,388,-725) -> Matrix(5,-6,4,-5) *** -> (1/1,3/2) Matrix(329,-627,138,-263) -> Matrix(5,-4,-4,3) Matrix(133,-297,30,-67) -> Matrix(3,-4,-4,5) Matrix(263,-594,58,-131) -> Matrix(1,-2,-4,7) Matrix(1451,-3300,638,-1451) -> Matrix(15,-28,8,-15) (25/11,66/29) -> (7/4,2/1) Matrix(2377,-5412,1044,-2377) -> Matrix(17,-36,8,-17) (66/29,41/18) -> (2/1,9/4) Matrix(331,-759,58,-133) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(527,-1221,142,-329) -> Matrix(1,-2,4,-9) Matrix(197,-462,84,-197) -> Matrix(-1,6,0,1) (7/3,33/14) -> (3/1,1/0) Matrix(265,-627,112,-265) -> Matrix(1,4,0,-1) (33/14,19/8) -> (-2/1,1/0) Matrix(527,-1254,166,-395) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1981,-4719,526,-1253) -> Matrix(1,2,0,1) 1/0 Matrix(1783,-4257,498,-1189) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(3037,-7260,1160,-2773) -> Matrix(7,2,4,1) Matrix(331,-792,28,-67) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(3433,-8217,1268,-3035) -> Matrix(1,4,0,1) 1/0 Matrix(461,-1122,136,-331) -> Matrix(1,-2,0,1) 1/0 Matrix(131,-330,52,-131) -> Matrix(3,-2,4,-3) (5/2,33/13) -> (1/2,1/1) Matrix(727,-1848,286,-727) -> Matrix(21,-22,20,-21) (33/13,28/11) -> (1/1,11/10) Matrix(595,-1518,78,-199) -> Matrix(5,-6,4,-5) *** -> (1/1,3/2) Matrix(2179,-5577,774,-1981) -> Matrix(3,-4,-4,5) Matrix(923,-2376,256,-659) -> Matrix(1,-2,-4,7) Matrix(4289,-11055,1664,-4289) -> Matrix(-1,4,0,1) (67/26,165/64) -> (2/1,1/0) Matrix(6271,-16170,2432,-6271) -> Matrix(1,0,0,-1) (165/64,49/19) -> (0/1,1/0) Matrix(331,-858,76,-197) -> Matrix(5,-6,-4,5) Matrix(529,-1386,50,-131) -> Matrix(1,-2,0,1) 1/0 Matrix(1913,-5016,680,-1783) -> Matrix(1,-2,0,1) 1/0 Matrix(527,-1386,100,-263) -> Matrix(7,-12,4,-7) *** -> (3/2,2/1) Matrix(1451,-3828,550,-1451) -> Matrix(31,-60,16,-31) (29/11,66/25) -> (15/8,2/1) Matrix(1849,-4884,700,-1849) -> Matrix(33,-68,16,-33) (66/25,37/14) -> (2/1,17/8) Matrix(529,-1419,148,-397) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(991,-2673,294,-793) -> Matrix(11,-36,-4,13) Matrix(659,-1782,98,-265) -> Matrix(1,-4,4,-15) Matrix(1583,-4290,438,-1187) -> Matrix(1,-4,-4,15) Matrix(133,-363,48,-131) -> Matrix(1,-6,0,1) 1/0 Matrix(197,-561,46,-131) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(131,-429,40,-131) -> Matrix(-1,8,0,1) (13/4,33/10) -> (4/1,1/0) Matrix(199,-660,60,-199) -> Matrix(1,12,0,-1) (33/10,10/3) -> (-6/1,1/0) Matrix(9899,-33330,2940,-9899) -> Matrix(109,330,-36,-109) (101/30,165/49) -> (-55/18,-3/1) Matrix(6271,-21120,1862,-6271) -> Matrix(71,210,-24,-71) (165/49,64/19) -> (-3/1,-35/12) Matrix(593,-2145,128,-463) -> Matrix(1,0,0,1) Matrix(199,-726,54,-197) -> Matrix(1,0,8,1) 0/1 Matrix(1123,-4158,232,-859) -> Matrix(1,0,8,-1) *** -> (0/1,1/4) Matrix(19601,-72600,5292,-19601) -> Matrix(1,0,12,-1) (100/27,363/98) -> (0/1,1/6) Matrix(15973,-59169,4312,-15973) -> Matrix(11,-2,60,-11) (363/98,163/44) -> (1/6,1/5) Matrix(133,-495,18,-67) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(3431,-12936,910,-3431) -> Matrix(1,0,0,-1) (49/13,132/35) -> (0/1,1/0) Matrix(5809,-21912,1540,-5809) -> Matrix(1,0,8,-1) (132/35,83/22) -> (0/1,1/4) Matrix(197,-759,34,-131) -> Matrix(5,-4,-4,3) Matrix(197,-924,42,-197) -> Matrix(-1,0,12,1) (14/3,33/7) -> (-1/6,0/1) Matrix(265,-1254,56,-265) -> Matrix(1,0,16,-1) (33/7,19/4) -> (0/1,1/8) Matrix(131,-627,14,-67) -> Matrix(1,0,-4,1) 0/1 Matrix(67,-363,12,-65) -> Matrix(1,-4,0,1) 1/0 Matrix(131,-858,20,-131) -> Matrix(-1,0,8,1) (13/2,33/5) -> (-1/4,0/1) Matrix(199,-1320,30,-199) -> Matrix(1,0,12,-1) (33/5,20/3) -> (0/1,1/6) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.