INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2880 Minimal number of generators: 481 Number of equivalence classes of cusps: 90 Genus: 196 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 0/1 4/27 7/24 8/23 9/22 1/2 11/20 34/59 12/19 13/18 41/52 14/17 1/1 8/7 67/57 17/14 52/41 35/27 18/13 3/2 94/61 19/12 115/71 39/23 59/34 20/11 2/1 43/19 87/37 131/55 22/9 5/2 67/26 13/5 157/60 45/17 68/25 183/65 23/8 3/1 47/15 16/5 95/29 24/7 7/2 145/41 170/47 11/3 122/33 49/13 19/5 123/32 4/1 25/6 17/4 13/3 22/5 9/2 23/5 51/11 14/3 19/4 24/5 77/16 5/1 26/5 21/4 16/3 27/5 11/2 17/3 23/4 6/1 25/4 19/3 13/2 20/3 27/4 7/1 22/3 15/2 23/3 8/1 17/2 9/1 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 1/2 -9/19 1/1 1/0 -8/17 0/1 1/1 -7/15 2/5 1/2 -20/43 1/2 9/17 -13/28 1/2 -6/13 3/5 2/3 -17/37 1/2 2/3 -11/24 3/4 -5/11 1/1 1/0 -14/31 -1/1 0/1 -23/51 0/1 1/2 -9/20 1/2 -13/29 0/1 1/2 -4/9 1/2 1/1 -19/43 1/2 1/1 -15/34 1/2 -26/59 1/2 1/1 -11/25 3/4 1/1 -18/41 3/4 1/1 -7/16 3/4 -17/39 1/1 7/6 -10/23 2/1 1/0 -13/30 1/0 -3/7 0/1 1/0 -20/47 0/1 1/9 -17/40 1/4 -14/33 1/3 1/2 -11/26 1/2 -41/97 1/2 1/1 -30/71 0/1 1/1 -19/45 0/1 1/4 -8/19 2/5 1/2 -29/69 1/2 3/5 -21/50 1/2 -34/81 1/2 7/13 -13/31 1/2 2/3 -31/74 3/4 -18/43 0/1 1/1 -5/12 1/2 -17/41 1/1 3/2 -12/29 1/1 2/1 -31/75 0/1 1/0 -50/121 0/1 1/3 -19/46 1/2 -26/63 0/1 1/1 -33/80 1/2 -40/97 5/6 1/1 -7/17 1/1 1/0 -23/56 1/0 -16/39 -1/1 1/0 -25/61 2/1 1/0 -9/22 1/0 -11/27 0/1 1/0 -2/5 0/1 1/3 -13/33 0/1 1/2 -11/28 1/2 -9/23 1/2 1/1 -16/41 0/1 1/1 -7/18 1/2 -33/85 3/4 1/1 -26/67 0/1 1/1 -19/49 1/2 1/1 -12/31 1/2 1/1 -17/44 3/4 -5/13 0/1 1/0 -23/60 3/2 -18/47 -3/1 1/0 -13/34 -1/2 -47/123 -1/3 -1/4 -34/89 0/1 1/1 -21/55 -1/2 0/1 -8/21 -1/4 0/1 -11/29 0/1 1/10 -25/66 1/6 -14/37 1/5 1/4 -31/82 1/4 -17/45 0/1 1/4 -3/8 1/4 -13/35 1/3 3/8 -10/27 2/5 3/7 -17/46 1/2 -7/19 3/7 1/2 -11/30 1/2 -26/71 4/7 3/5 -15/41 1/2 2/3 -19/52 1/2 -4/11 2/3 1/1 -13/36 3/4 -9/25 0/1 1/0 -14/39 -1/1 0/1 -33/92 -1/6 -19/53 0/1 1/4 -5/14 1/2 -16/45 1/1 1/0 -11/31 -1/2 0/1 -6/17 0/1 1/4 -13/37 1/3 1/2 -20/57 0/1 1/1 -27/77 1/4 1/3 -7/20 1/2 -1/3 1/2 1/1 -6/19 0/1 1/4 -23/73 1/2 1/1 -40/127 -1/1 0/1 -17/54 1/4 -11/35 1/4 1/3 -5/16 1/2 -9/29 1/2 6/11 -13/42 1/2 -4/13 3/5 2/3 -15/49 13/20 2/3 -26/85 2/3 25/37 -11/36 7/10 -7/23 3/4 4/5 -17/56 7/8 -10/33 1/1 1/0 -3/10 1/2 -14/47 3/4 1/1 -11/37 3/4 4/5 -19/64 5/6 -8/27 7/8 1/1 -5/17 1/1 3/2 -17/58 3/2 -12/41 -1/1 1/0 -7/24 1/0 -9/31 3/4 1/1 -2/7 1/1 1/0 -11/39 0/1 1/0 -9/32 1/2 -16/57 0/1 1/1 -7/25 0/1 1/0 -5/18 1/2 -13/47 0/1 1/4 -21/76 1/0 -50/181 0/1 1/9 -29/105 1/5 1/4 -8/29 0/1 1/3 -19/69 3/7 1/2 -11/40 1/2 -14/51 2/3 1/1 -3/11 1/2 2/3 -13/48 5/6 -10/37 1/1 2/1 -7/26 1/2 -11/41 1/2 1/1 -15/56 3/4 -19/71 1/1 3/2 -23/86 1/0 -4/15 0/1 1/2 -13/49 2/3 3/4 -22/83 2/3 1/1 -9/34 3/4 -14/53 5/6 1/1 -5/19 5/6 1/1 -6/23 1/1 6/5 -7/27 3/2 2/1 -1/4 1/0 -5/21 4/9 1/2 -4/17 0/1 1/2 -15/64 1/2 -11/47 1/2 2/3 -7/30 1/2 -10/43 1/2 1/1 -13/56 1/2 -3/13 1/2 1/1 -20/87 7/8 1/1 -17/74 5/4 -14/61 -1/1 1/0 -11/48 1/2 -8/35 3/5 2/3 -21/92 5/8 -34/149 2/3 9/13 -13/57 2/3 3/4 -5/22 3/4 -7/31 7/8 1/1 -2/9 1/1 2/1 -7/32 1/2 -12/55 1/1 5/4 -5/23 3/2 2/1 -13/60 1/0 -21/97 5/2 3/1 -8/37 3/1 1/0 -11/51 5/1 1/0 -14/65 10/1 1/0 -3/14 1/0 -10/47 -1/1 0/1 -17/80 1/0 -7/33 0/1 1/0 -11/52 1/0 -15/71 -1/1 1/0 -4/19 -1/1 1/0 -5/24 1/0 -6/29 -1/2 -1/3 -7/34 -1/6 -1/5 0/1 1/2 -4/21 2/3 1/1 -3/16 1/2 -5/27 5/6 1/1 -2/11 1/1 2/1 -5/28 3/2 -8/45 1/1 2/1 -3/17 1/1 1/0 -10/57 -5/1 1/0 -7/40 1/0 -11/63 -1/1 1/0 -4/23 1/1 1/0 -9/52 1/0 -5/29 -1/1 1/0 -1/6 1/0 -3/19 2/5 1/2 -2/13 0/1 1/2 -7/46 1/2 -5/33 0/1 1/0 -8/53 -1/3 0/1 -3/20 1/4 -1/7 1/2 1/1 -2/15 2/1 1/0 -3/23 -2/1 1/0 -1/8 1/2 -2/17 -1/1 1/0 -3/26 -1/2 -1/9 0/1 1/2 -1/10 1/2 -1/11 1/2 1/1 -1/12 1/0 0/1 0/1 1/1 1/9 1/1 1/0 1/8 1/0 3/23 0/1 1/2 2/15 2/3 1/1 1/7 0/1 1/0 4/27 0/1 7/47 0/1 1/8 3/20 1/4 5/33 1/3 1/2 2/13 1/3 1/2 3/19 1/3 1/2 4/25 1/2 1/1 1/6 1/0 5/29 0/1 1/4 4/23 0/1 1/1 7/40 1/4 3/17 2/5 1/2 2/11 1/2 2/3 3/16 1/2 1/5 1/1 1/0 4/19 1/1 1/0 11/52 1/0 7/33 -3/2 -1/1 3/14 -1/2 5/23 0/1 1/2 2/9 0/1 1/0 5/22 1/2 3/13 -2/1 1/0 7/30 1/2 4/17 -1/1 0/1 1/4 1/2 7/27 0/1 1/2 6/23 1/3 1/2 11/42 1/4 5/19 1/3 1/2 4/15 1/2 1/1 7/26 1/2 3/11 1/2 1/1 5/18 3/4 7/25 1/2 1/1 2/7 2/3 1/1 7/24 1/1 12/41 1/1 12/11 5/17 1/1 5/4 13/44 1/0 8/27 1/1 4/3 11/37 1/1 1/0 14/47 1/1 2/1 3/10 1/0 7/23 1/1 1/0 11/36 3/2 4/13 1/1 2/1 9/29 1/1 3/2 5/16 1/0 1/3 0/1 1/0 8/23 0/1 15/43 0/1 1/16 7/20 1/8 13/37 1/5 1/4 19/54 1/4 6/17 1/5 1/4 11/31 0/1 1/2 5/14 1/2 9/25 0/1 1/6 4/11 1/3 1/2 23/63 1/3 1/2 19/52 1/4 15/41 1/3 1/2 26/71 2/3 1/1 11/30 1/2 7/19 0/1 1/2 3/8 1/2 11/29 1/2 5/9 8/21 1/2 3/5 13/34 1/2 31/81 1/2 1/1 18/47 3/5 2/3 5/13 2/3 3/4 17/44 3/4 12/31 5/6 1/1 7/18 1/0 16/41 1/1 1/0 9/23 1/2 1/1 11/28 3/4 2/5 2/3 1/1 9/22 1/1 16/39 1/1 16/15 7/17 1/1 7/6 19/46 5/4 12/29 1/1 4/3 17/41 3/2 2/1 5/12 3/2 18/43 1/1 2/1 31/74 1/0 13/31 3/2 2/1 21/50 5/2 8/19 2/1 3/1 27/64 1/0 46/109 1/0 19/45 -5/1 1/0 11/26 1/0 25/59 1/3 1/2 14/33 1/3 1/2 17/40 5/6 3/7 1/1 1/0 10/23 1/1 1/0 7/16 1/0 18/41 2/1 3/1 29/66 1/0 11/25 2/1 1/0 4/9 0/1 1/0 9/20 1/0 14/31 2/1 3/1 5/11 -4/1 1/0 11/24 -3/2 6/13 -1/1 1/0 13/28 -1/2 7/15 -1/1 -1/2 1/2 1/2 8/15 1/2 3/5 15/28 3/4 22/41 2/3 1/1 7/13 2/3 3/4 20/37 1/2 1/1 13/24 1/2 19/35 3/4 4/5 6/11 6/7 1/1 11/20 1/1 16/29 1/1 16/15 5/9 1/1 5/4 9/16 3/2 4/7 0/1 1/0 19/33 3/4 1/1 34/59 1/1 49/85 1/1 9/8 15/26 3/2 41/71 1/1 3/2 26/45 0/1 1/1 11/19 1/1 1/0 29/50 1/0 18/31 2/1 1/0 25/43 1/2 1/1 32/55 1/1 4/3 7/12 1/0 31/53 -1/1 -1/2 55/94 -1/4 24/41 0/1 1/5 17/29 0/1 1/2 27/46 1/2 37/63 3/4 1/1 10/17 2/3 1/1 3/5 2/1 1/0 17/28 1/0 31/51 0/1 1/0 14/23 1/1 2/1 25/41 4/1 1/0 11/18 1/0 8/13 -1/1 0/1 29/47 -1/2 -1/3 21/34 1/2 55/89 -2/1 1/0 89/144 -1/2 34/55 0/1 1/1 47/76 1/0 60/97 -1/1 -1/2 13/21 -1/2 0/1 44/71 0/1 1/3 75/121 1/3 1/2 31/50 1/2 18/29 1/2 1/1 23/37 -1/1 1/0 5/8 1/0 12/19 0/1 19/30 1/4 7/11 0/1 1/2 30/47 1/2 5/9 23/36 1/2 16/25 0/1 1/1 25/39 1/2 1/1 9/14 1/0 38/59 0/1 1/5 29/45 1/2 1/1 20/31 0/1 1/0 11/17 0/1 1/2 24/37 0/1 1/3 13/20 1/2 2/3 1/2 1/1 13/19 1/1 1/0 37/54 1/0 24/35 0/1 1/1 11/16 1/0 31/45 1/3 1/2 20/29 2/3 3/4 9/13 1/1 3/2 34/49 1/1 2/1 25/36 1/0 66/95 1/1 2/1 41/59 3/1 1/0 16/23 -1/1 1/0 39/56 1/0 62/89 -4/1 -3/1 23/33 -1/1 1/0 7/10 1/2 26/37 0/1 1/1 71/101 1/2 1/1 45/64 1/0 64/91 0/1 19/27 0/1 1/2 31/44 1/2 43/61 0/1 1/0 12/17 1/3 1/2 5/7 3/4 1/1 13/18 1/1 21/29 1/1 17/16 8/11 1/1 7/6 27/37 5/4 9/7 19/26 5/4 49/67 6/5 5/4 30/41 9/7 4/3 11/15 4/3 3/2 36/49 3/2 5/3 25/34 3/2 39/53 1/1 3/2 14/19 1/1 3/2 17/23 3/2 5/3 20/27 3/2 5/3 3/4 1/0 16/21 1/1 2/1 13/17 1/1 1/0 23/30 1/2 10/13 1/2 1/1 7/9 4/3 3/2 25/32 7/4 43/55 2/1 5/2 18/23 1/1 2/1 11/14 7/4 26/33 25/13 2/1 41/52 2/1 56/71 2/1 51/25 15/19 2/1 13/6 19/24 5/2 4/5 2/1 3/1 25/31 3/1 1/0 21/26 1/0 38/47 -1/1 1/0 17/21 3/1 1/0 30/37 3/1 1/0 13/16 1/0 22/27 2/1 1/0 9/11 6/1 1/0 14/17 1/0 19/23 -10/1 1/0 5/6 1/0 11/13 -1/1 -1/2 17/20 -1/2 23/27 1/1 1/0 6/7 -1/2 0/1 7/8 1/2 8/9 0/1 1/1 9/10 1/0 1/1 1/1 1/0 10/9 -3/2 -1/1 9/8 1/0 17/15 -1/1 1/0 8/7 -1/1 -1/2 15/13 0/1 1/2 7/6 1/0 34/29 -1/1 0/1 61/52 -1/2 27/23 -1/1 -1/2 47/40 -1/4 67/57 0/1 87/74 1/6 20/17 0/1 1/1 13/11 -1/1 1/0 19/16 1/0 6/5 -1/2 0/1 17/14 0/1 28/23 0/1 1/10 11/9 0/1 1/4 16/13 1/2 1/1 21/17 1/2 1/1 26/21 1/2 1/1 31/25 1/2 1/1 5/4 1/0 19/15 -1/2 0/1 52/41 0/1 85/67 0/1 1/18 33/26 1/8 47/37 1/5 1/4 14/11 0/1 1/3 51/40 1/2 37/29 1/2 2/3 23/18 1/2 55/43 0/1 1/2 32/25 1/2 1/1 9/7 0/1 1/2 22/17 5/6 1/1 35/27 1/1 48/37 1/1 11/10 13/10 3/2 30/23 1/1 2/1 17/13 1/1 1/0 38/29 1/2 1/1 21/16 1/2 4/3 1/1 2/1 19/14 1/0 72/53 0/1 1/1 125/92 1/1 53/39 1/1 1/0 34/25 1/1 2/1 15/11 2/1 1/0 71/52 1/0 56/41 2/1 3/1 41/30 5/2 26/19 3/1 4/1 37/27 3/1 1/0 48/35 3/1 4/1 59/43 3/1 7/2 11/8 1/0 18/13 1/0 25/18 1/0 7/5 -3/1 1/0 38/27 -2/1 -1/1 69/49 -1/1 1/0 31/22 -3/2 55/39 -1/1 1/0 24/17 -1/1 0/1 17/12 1/0 61/43 -4/1 1/0 44/31 0/1 1/0 27/19 4/1 1/0 91/64 1/0 64/45 -17/1 1/0 37/26 1/0 47/33 -4/1 1/0 10/7 -3/1 -2/1 33/23 -1/1 1/0 56/39 -1/1 1/0 23/16 1/0 82/57 -3/2 -1/1 59/41 -3/2 -1/1 95/66 -3/2 36/25 -2/1 -1/1 49/34 -3/2 13/9 -3/2 -1/1 29/20 -1/2 45/31 -1/1 -1/2 61/42 1/0 16/11 -2/1 -1/1 35/24 1/0 19/13 -1/1 1/0 22/15 -1/1 0/1 25/17 -2/1 1/0 3/2 -1/2 23/15 -1/2 -1/3 20/13 -1/2 -1/3 57/37 -1/2 -1/3 94/61 -1/3 37/24 -1/4 17/11 -1/2 0/1 14/9 -1/2 -1/3 53/34 -1/4 39/25 -1/4 -3/13 64/41 -1/5 -1/6 25/16 -1/4 61/39 -1/5 -1/6 36/23 -1/5 0/1 83/53 -1/6 -1/7 130/83 -1/3 0/1 47/30 -1/6 11/7 -1/8 0/1 19/12 0/1 27/17 0/1 1/20 8/5 0/1 1/6 37/23 1/4 1/3 66/41 0/1 1/3 29/18 1/2 50/31 1/3 1/2 121/75 1/2 1/1 71/44 1/2 21/13 0/1 1/4 76/47 0/1 1/3 55/34 1/2 144/89 1/4 3/11 233/144 3/8 89/55 0/1 1/2 34/21 0/1 1/1 115/71 0/1 196/121 0/1 1/19 81/50 1/10 47/29 1/6 1/5 60/37 1/5 2/9 13/8 1/4 57/35 1/3 1/2 44/27 1/3 2/5 75/46 1/2 106/65 1/2 3/5 31/19 1/4 1/3 18/11 3/7 1/2 77/47 1/2 59/36 1/2 41/25 1/2 4/7 64/39 3/5 2/3 23/14 3/4 74/45 3/4 1/1 125/76 1/0 51/31 1/2 2/3 28/17 1/1 2/1 33/20 1/2 5/3 0/1 1/2 22/13 4/5 1/1 39/23 1/1 56/33 1/1 10/9 17/10 3/2 80/47 1/1 2/1 63/37 1/1 3/2 46/27 2/1 1/0 29/17 4/1 1/0 41/24 -1/2 53/31 1/2 1/1 65/38 1/2 12/7 1/1 1/0 55/32 5/6 43/25 1/1 5/4 31/18 1/0 50/29 0/1 1/1 69/40 1/2 88/51 1/1 3/2 19/11 1/1 1/0 26/15 0/1 1/1 59/34 1/1 92/53 1/1 6/5 33/19 1/1 3/2 40/23 1/1 2/1 7/4 1/0 23/13 0/1 1/0 85/48 -1/2 62/35 -1/1 0/1 101/57 0/1 1/2 39/22 1/0 55/31 -1/1 1/0 16/9 0/1 1/1 57/32 1/2 41/23 1/1 1/0 66/37 0/1 1/1 25/14 1/2 9/5 1/1 1/0 20/11 1/0 31/17 -3/1 1/0 11/6 1/0 24/13 -2/1 -1/1 13/7 0/1 1/0 28/15 -1/1 -1/2 15/8 1/0 17/9 0/1 1/0 2/1 -1/1 0/1 17/8 1/8 32/15 1/6 1/5 15/7 1/6 1/5 43/20 1/4 28/13 0/1 1/5 41/19 1/5 1/4 13/6 1/4 11/5 0/1 1/2 42/19 0/1 1/3 31/14 1/2 20/9 1/2 1/1 9/4 1/2 43/19 1/2 77/34 1/2 34/15 1/2 4/7 25/11 1/2 2/3 66/29 1/2 1/1 173/76 3/4 280/123 1/1 107/47 1/2 1/1 41/18 1/2 57/25 0/1 1/0 16/7 1/3 1/2 39/17 1/3 1/2 101/44 1/2 62/27 3/7 4/9 23/10 1/2 30/13 1/2 3/5 7/3 1/2 1/1 47/20 7/8 87/37 1/1 127/54 17/16 40/17 1/1 5/4 73/31 4/3 3/2 33/14 1/0 26/11 0/1 1/1 71/30 1/0 45/19 1/2 1/1 109/46 1/1 64/27 1/1 1/0 19/8 1/0 88/37 0/1 1/1 69/29 0/1 1/2 50/21 -1/1 0/1 131/55 0/1 212/89 0/1 1/13 81/34 1/6 31/13 0/1 1/2 74/31 1/3 3/8 117/49 2/5 1/2 160/67 2/5 3/7 43/18 1/2 55/23 1/2 8/15 12/5 2/3 1/1 41/17 0/1 1/2 29/12 1/2 75/31 2/3 7/10 46/19 2/3 1/1 63/26 3/4 17/7 3/4 1/1 22/9 1/1 27/11 1/1 5/4 5/2 1/0 23/9 1/1 1/0 64/25 1/1 2/1 41/16 1/2 59/23 2/1 1/0 18/7 0/1 1/1 67/26 1/1 116/45 1/1 10/9 49/19 1/1 5/4 31/12 3/2 75/29 3/2 2/1 119/46 1/0 44/17 1/1 2/1 57/22 1/0 13/5 2/1 1/0 60/23 2/1 3/1 47/18 1/0 175/67 3/1 1/0 128/49 2/1 3/1 81/31 3/1 7/2 34/13 7/1 1/0 157/60 1/0 123/47 -14/1 1/0 89/34 1/0 144/55 -2/1 -3/2 55/21 1/1 1/0 21/8 1/0 50/19 1/1 2/1 79/30 1/0 108/41 1/1 2/1 29/11 3/1 1/0 37/14 1/0 45/17 1/0 53/20 1/0 8/3 -2/1 1/0 27/10 -1/2 73/27 -1/1 -1/2 46/17 -1/1 0/1 65/24 1/0 19/7 -1/2 0/1 68/25 0/1 117/43 0/1 1/10 49/18 1/4 30/11 0/1 1/1 101/37 1/3 1/2 71/26 1/0 112/41 1/1 1/0 41/15 1/1 1/0 134/49 0/1 1/1 227/83 1/1 93/34 1/0 52/19 1/1 2/1 11/4 1/0 36/13 -1/4 0/1 25/9 -1/2 0/1 39/14 1/0 53/19 1/1 1/0 14/5 -1/1 1/0 45/16 -1/2 76/27 -1/3 0/1 183/65 0/1 107/38 1/0 31/11 -1/2 0/1 48/17 -1/1 0/1 17/6 -1/2 54/19 -1/2 0/1 37/13 -1/3 -1/4 57/20 -1/4 20/7 -1/7 0/1 23/8 0/1 26/9 0/1 1/11 3/1 0/1 1/2 25/8 1/2 47/15 1/2 22/7 1/2 7/13 19/6 5/8 16/5 2/3 1/1 45/14 3/4 74/23 4/5 1/1 29/9 5/6 1/1 13/4 1/2 49/15 1/2 3/5 36/11 3/4 1/1 95/29 1/1 154/47 1/1 5/4 59/18 1/0 23/7 1/2 1/1 33/10 1/2 10/3 1/2 2/3 57/17 5/7 3/4 104/31 2/3 7/10 47/14 3/4 84/25 3/4 25/33 37/11 3/4 7/9 64/19 4/5 1/1 27/8 5/6 98/29 4/5 1/1 71/21 5/6 1/1 44/13 3/4 1/1 17/5 7/8 1/1 24/7 1/1 31/9 1/1 13/12 7/2 3/2 53/15 1/1 1/0 99/28 1/0 145/41 1/1 46/13 1/1 2/1 39/11 3/1 1/0 32/9 0/1 1/1 25/7 1/1 1/0 43/12 1/0 18/5 1/1 3/2 65/18 1/0 112/31 5/2 3/1 47/13 5/1 1/0 170/47 1/0 123/34 1/0 76/21 -3/1 -2/1 29/8 1/0 11/3 1/1 3/2 59/16 3/2 48/13 1/1 2/1 85/23 3/2 2/1 122/33 2/1 37/10 1/0 26/7 1/1 1/0 41/11 1/1 1/0 15/4 1/0 49/13 1/0 83/22 1/0 34/9 -1/1 1/0 19/5 1/1 1/0 42/11 1/1 2/1 23/6 1/0 73/19 -1/1 1/0 123/32 -1/1 50/13 -1/1 0/1 27/7 0/1 1/0 4/1 1/1 1/0 25/6 1/0 46/11 -1/1 1/0 21/5 0/1 1/0 17/4 1/0 47/11 2/1 1/0 30/7 -1/1 0/1 13/3 0/1 1/0 35/8 1/2 22/5 1/1 2/1 75/17 1/1 1/0 53/12 1/0 31/7 1/1 3/2 9/2 1/0 50/11 -1/1 0/1 91/20 -1/2 41/9 -1/1 1/0 114/25 -1/2 -3/7 73/16 -1/4 32/7 -1/1 1/0 23/5 0/1 1/0 37/8 -1/4 51/11 0/1 65/14 1/10 14/3 0/1 1/3 33/7 1/1 1/0 85/18 1/0 307/65 0/1 222/47 0/1 1/3 137/29 0/1 1/2 52/11 0/1 1/1 71/15 1/1 1/0 19/4 1/2 24/5 1/2 1/1 77/16 1/1 53/11 1/1 1/0 29/6 1/2 34/7 0/1 1/1 5/1 1/2 1/1 26/5 1/1 47/9 1/1 19/18 21/4 9/8 16/3 1/1 3/2 27/5 1/1 3/2 11/2 3/2 28/5 3/2 5/3 17/3 2/1 1/0 57/10 1/2 40/7 7/5 3/2 63/11 5/3 7/4 23/4 1/0 52/9 1/1 2/1 29/5 3/2 2/1 6/1 2/1 3/1 25/4 1/0 19/3 1/1 1/0 51/8 7/4 32/5 2/1 3/1 13/2 1/0 46/7 5/1 6/1 33/5 5/1 1/0 53/8 1/0 20/3 9/1 1/0 27/4 1/0 34/5 -13/1 1/0 7/1 -2/1 1/0 22/3 -2/1 -1/1 15/2 1/0 23/3 -1/2 0/1 31/4 1/0 8/1 0/1 1/1 17/2 1/2 9/1 1/2 1/1 10/1 3/2 2/1 11/1 1/1 1/0 12/1 2/1 5/2 1/0 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(475,226,-1776,-845) (-1/2,-9/19) -> (-19/71,-23/86) Hyperbolic Matrix(2111,996,3406,1607) (-9/19,-8/17) -> (44/71,75/121) Hyperbolic Matrix(1283,602,1754,823) (-8/17,-7/15) -> (49/67,30/41) Hyperbolic Matrix(811,378,118,55) (-7/15,-20/43) -> (34/5,7/1) Hyperbolic Matrix(1967,914,2434,1131) (-20/43,-13/28) -> (21/26,38/47) Hyperbolic Matrix(2427,1124,922,427) (-13/28,-6/13) -> (50/19,79/30) Hyperbolic Matrix(2415,1112,1492,687) (-6/13,-17/37) -> (89/55,34/21) Hyperbolic Matrix(2179,1000,3092,1419) (-17/37,-11/24) -> (31/44,43/61) Hyperbolic Matrix(1373,628,798,365) (-11/24,-5/11) -> (43/25,31/18) Hyperbolic Matrix(1133,512,790,357) (-5/11,-14/31) -> (10/7,33/23) Hyperbolic Matrix(563,254,-3726,-1681) (-14/31,-23/51) -> (-5/33,-8/53) Hyperbolic Matrix(1921,866,-5082,-2291) (-23/51,-9/20) -> (-31/82,-17/45) Hyperbolic Matrix(1123,504,1914,859) (-9/20,-13/29) -> (17/29,27/46) Hyperbolic Matrix(1009,452,788,353) (-13/29,-4/9) -> (32/25,9/7) Hyperbolic Matrix(1443,638,1780,787) (-4/9,-19/43) -> (17/21,30/37) Hyperbolic Matrix(557,246,-3222,-1423) (-19/43,-15/34) -> (-9/52,-5/29) Hyperbolic Matrix(1107,488,-4766,-2101) (-15/34,-26/59) -> (-10/43,-13/56) Hyperbolic Matrix(1439,634,-6648,-2929) (-26/59,-11/25) -> (-21/97,-8/37) Hyperbolic Matrix(555,244,-2104,-925) (-11/25,-18/41) -> (-14/53,-5/19) Hyperbolic Matrix(1103,484,1438,631) (-18/41,-7/16) -> (23/30,10/13) Hyperbolic Matrix(769,336,222,97) (-7/16,-17/39) -> (31/9,7/2) Hyperbolic Matrix(987,430,1430,623) (-17/39,-10/23) -> (20/29,9/13) Hyperbolic Matrix(1207,524,2080,903) (-10/23,-13/30) -> (29/50,18/31) Hyperbolic Matrix(545,236,1314,569) (-13/30,-3/7) -> (17/41,5/12) Hyperbolic Matrix(323,138,110,47) (-3/7,-20/47) -> (26/9,3/1) Hyperbolic Matrix(1943,826,3018,1283) (-20/47,-17/40) -> (9/14,38/59) Hyperbolic Matrix(1615,686,864,367) (-17/40,-14/33) -> (28/15,15/8) Hyperbolic Matrix(2257,956,1400,593) (-14/33,-11/26) -> (29/18,50/31) Hyperbolic Matrix(2687,1136,3328,1407) (-11/26,-41/97) -> (25/31,21/26) Hyperbolic Matrix(3653,1544,750,317) (-41/97,-30/71) -> (34/7,5/1) Hyperbolic Matrix(3863,1632,4940,2087) (-30/71,-19/45) -> (43/55,18/23) Hyperbolic Matrix(427,180,-1606,-677) (-19/45,-8/19) -> (-4/15,-13/49) Hyperbolic Matrix(1175,494,-5454,-2293) (-8/19,-29/69) -> (-11/51,-14/65) Hyperbolic Matrix(2675,1124,426,179) (-29/69,-21/50) -> (25/4,19/3) Hyperbolic Matrix(1067,448,-6090,-2557) (-21/50,-34/81) -> (-10/57,-7/40) Hyperbolic Matrix(1497,628,2348,985) (-34/81,-13/31) -> (7/11,30/47) Hyperbolic Matrix(1923,806,4588,1923) (-13/31,-31/74) -> (31/74,13/31) Hyperbolic Matrix(2669,1118,4586,1921) (-31/74,-18/43) -> (32/55,7/12) Hyperbolic Matrix(321,134,424,177) (-18/43,-5/12) -> (3/4,16/21) Hyperbolic Matrix(529,220,214,89) (-5/12,-17/41) -> (27/11,5/2) Hyperbolic Matrix(425,176,1374,569) (-17/41,-12/29) -> (4/13,9/29) Hyperbolic Matrix(2113,874,1482,613) (-12/29,-31/75) -> (47/33,10/7) Hyperbolic Matrix(4123,1704,-18072,-7469) (-31/75,-50/121) -> (-34/149,-13/57) Hyperbolic Matrix(4119,1702,530,219) (-50/121,-19/46) -> (31/4,8/1) Hyperbolic Matrix(4327,1786,2430,1003) (-19/46,-26/63) -> (16/9,57/32) Hyperbolic Matrix(13617,5618,5170,2133) (-26/63,-33/80) -> (79/30,108/41) Hyperbolic Matrix(18045,7442,10972,4525) (-33/80,-40/97) -> (74/45,125/76) Hyperbolic Matrix(631,260,-2740,-1129) (-40/97,-7/17) -> (-3/13,-20/87) Hyperbolic Matrix(735,302,-4208,-1729) (-7/17,-23/56) -> (-7/40,-11/63) Hyperbolic Matrix(2417,992,3472,1425) (-23/56,-16/39) -> (16/23,39/56) Hyperbolic Matrix(2625,1076,3574,1465) (-16/39,-25/61) -> (11/15,36/49) Hyperbolic Matrix(1157,474,-4938,-2023) (-25/61,-9/22) -> (-15/64,-11/47) Hyperbolic Matrix(1255,512,1782,727) (-9/22,-11/27) -> (19/27,31/44) Hyperbolic Matrix(733,298,1252,509) (-11/27,-2/5) -> (24/41,17/29) Hyperbolic Matrix(1739,686,616,243) (-2/5,-13/33) -> (31/11,48/17) Hyperbolic Matrix(1429,562,2352,925) (-13/33,-11/28) -> (17/28,31/51) Hyperbolic Matrix(1121,440,614,241) (-11/28,-9/23) -> (31/17,11/6) Hyperbolic Matrix(307,120,-1732,-677) (-9/23,-16/41) -> (-8/45,-3/17) Hyperbolic Matrix(303,118,-1420,-553) (-16/41,-7/18) -> (-3/14,-10/47) Hyperbolic Matrix(103,40,-1218,-473) (-7/18,-33/85) -> (-1/11,-1/12) Hyperbolic Matrix(10031,3894,5778,2243) (-33/85,-26/67) -> (92/53,33/19) Hyperbolic Matrix(4861,1886,3446,1337) (-26/67,-19/49) -> (55/39,24/17) Hyperbolic Matrix(1621,628,302,117) (-19/49,-12/31) -> (16/3,27/5) Hyperbolic Matrix(605,234,1316,509) (-12/31,-17/44) -> (11/24,6/13) Hyperbolic Matrix(301,116,-1108,-427) (-17/44,-5/13) -> (-3/11,-13/48) Hyperbolic Matrix(1309,502,2412,925) (-5/13,-23/60) -> (13/24,19/35) Hyperbolic Matrix(2213,848,702,269) (-23/60,-18/47) -> (22/7,19/6) Hyperbolic Matrix(1207,462,-4120,-1577) (-18/47,-13/34) -> (-17/58,-12/41) Hyperbolic Matrix(9033,3452,6220,2377) (-13/34,-47/123) -> (45/31,61/42) Hyperbolic Matrix(8731,3336,-31608,-12077) (-47/123,-34/89) -> (-50/181,-29/105) Hyperbolic Matrix(2911,1112,500,191) (-34/89,-21/55) -> (29/5,6/1) Hyperbolic Matrix(2505,956,904,345) (-21/55,-8/21) -> (36/13,25/9) Hyperbolic Matrix(799,304,502,191) (-8/21,-11/29) -> (27/17,8/5) Hyperbolic Matrix(5791,2194,2394,907) (-11/29,-25/66) -> (29/12,75/31) Hyperbolic Matrix(3593,1360,996,377) (-25/66,-14/37) -> (18/5,65/18) Hyperbolic Matrix(1195,452,3392,1283) (-14/37,-31/82) -> (19/54,6/17) Hyperbolic Matrix(101,38,396,149) (-17/45,-3/8) -> (1/4,7/27) Hyperbolic Matrix(495,184,1676,623) (-3/8,-13/35) -> (5/17,13/44) Hyperbolic Matrix(1381,512,294,109) (-13/35,-10/27) -> (14/3,33/7) Hyperbolic Matrix(887,328,1966,727) (-10/27,-17/46) -> (9/20,14/31) Hyperbolic Matrix(1083,400,-3934,-1453) (-17/46,-7/19) -> (-19/69,-11/40) Hyperbolic Matrix(685,252,492,181) (-7/19,-11/30) -> (25/18,7/5) Hyperbolic Matrix(879,322,980,359) (-11/30,-26/71) -> (8/9,9/10) Hyperbolic Matrix(295,108,2248,823) (-26/71,-15/41) -> (3/23,2/15) Hyperbolic Matrix(1761,644,4006,1465) (-15/41,-19/52) -> (29/66,11/25) Hyperbolic Matrix(587,214,96,35) (-19/52,-4/11) -> (6/1,25/4) Hyperbolic Matrix(193,70,488,177) (-4/11,-13/36) -> (11/28,2/5) Hyperbolic Matrix(677,244,-2228,-803) (-13/36,-9/25) -> (-7/23,-17/56) Hyperbolic Matrix(1257,452,292,105) (-9/25,-14/39) -> (30/7,13/3) Hyperbolic Matrix(4933,1770,772,277) (-14/39,-33/92) -> (51/8,32/5) Hyperbolic Matrix(9569,3432,7542,2705) (-33/92,-19/53) -> (85/67,33/26) Hyperbolic Matrix(4057,1454,2514,901) (-19/53,-5/14) -> (71/44,21/13) Hyperbolic Matrix(579,206,2212,787) (-5/14,-16/45) -> (6/23,11/42) Hyperbolic Matrix(2307,820,3272,1163) (-16/45,-11/31) -> (43/61,12/17) Hyperbolic Matrix(1055,374,866,307) (-11/31,-6/17) -> (28/23,11/9) Hyperbolic Matrix(2773,976,1628,573) (-6/17,-13/37) -> (63/37,46/27) Hyperbolic Matrix(4779,1678,6878,2415) (-13/37,-20/57) -> (66/95,41/59) Hyperbolic Matrix(4391,1540,-13940,-4889) (-20/57,-27/77) -> (-23/73,-40/127) Hyperbolic Matrix(7827,2744,1720,603) (-27/77,-7/20) -> (91/20,41/9) Hyperbolic Matrix(475,166,764,267) (-7/20,-1/3) -> (23/37,5/8) Hyperbolic Matrix(727,230,452,143) (-1/3,-6/19) -> (8/5,37/23) Hyperbolic Matrix(1085,342,92,29) (-6/19,-23/73) -> (11/1,12/1) Hyperbolic Matrix(12129,3820,10316,3249) (-40/127,-17/54) -> (87/74,20/17) Hyperbolic Matrix(6511,2048,4524,1423) (-17/54,-11/35) -> (59/41,95/66) Hyperbolic Matrix(1537,482,2618,821) (-11/35,-5/16) -> (27/46,37/63) Hyperbolic Matrix(449,140,542,169) (-5/16,-9/29) -> (19/23,5/6) Hyperbolic Matrix(3055,946,2154,667) (-9/29,-13/42) -> (17/12,61/43) Hyperbolic Matrix(2063,638,540,167) (-13/42,-4/13) -> (42/11,23/6) Hyperbolic Matrix(2325,712,3752,1149) (-4/13,-15/49) -> (13/21,44/71) Hyperbolic Matrix(4019,1230,5094,1559) (-15/49,-26/85) -> (56/71,15/19) Hyperbolic Matrix(5539,1694,9466,2895) (-26/85,-11/36) -> (55/94,24/41) Hyperbolic Matrix(269,82,1158,353) (-11/36,-7/23) -> (3/13,7/30) Hyperbolic Matrix(3117,946,2402,729) (-17/56,-10/33) -> (48/37,13/10) Hyperbolic Matrix(1599,484,446,135) (-10/33,-3/10) -> (43/12,18/5) Hyperbolic Matrix(87,26,532,159) (-3/10,-14/47) -> (4/25,1/6) Hyperbolic Matrix(3617,1076,1590,473) (-14/47,-11/37) -> (25/11,66/29) Hyperbolic Matrix(2027,602,266,79) (-11/37,-19/64) -> (15/2,23/3) Hyperbolic Matrix(883,262,792,235) (-19/64,-8/27) -> (10/9,9/8) Hyperbolic Matrix(703,208,970,287) (-8/27,-5/17) -> (21/29,8/11) Hyperbolic Matrix(2633,772,4560,1337) (-5/17,-17/58) -> (15/26,41/71) Hyperbolic Matrix(1751,512,790,231) (-12/41,-7/24) -> (31/14,20/9) Hyperbolic Matrix(261,76,1226,357) (-7/24,-9/31) -> (7/33,3/14) Hyperbolic Matrix(1483,430,438,127) (-9/31,-2/7) -> (44/13,17/5) Hyperbolic Matrix(345,98,88,25) (-2/7,-11/39) -> (27/7,4/1) Hyperbolic Matrix(433,122,-2850,-803) (-11/39,-9/32) -> (-7/46,-5/33) Hyperbolic Matrix(3537,994,1982,557) (-9/32,-16/57) -> (66/37,25/14) Hyperbolic Matrix(2241,628,860,241) (-16/57,-7/25) -> (13/5,60/23) Hyperbolic Matrix(601,168,948,265) (-7/25,-5/18) -> (19/30,7/11) Hyperbolic Matrix(599,166,516,143) (-5/18,-13/47) -> (15/13,7/6) Hyperbolic Matrix(427,118,2486,687) (-13/47,-21/76) -> (1/6,5/29) Hyperbolic Matrix(29557,8166,18246,5041) (-21/76,-50/181) -> (196/121,81/50) Hyperbolic Matrix(6079,1678,2228,615) (-29/105,-8/29) -> (30/11,101/37) Hyperbolic Matrix(3339,920,940,259) (-8/29,-19/69) -> (39/11,32/9) Hyperbolic Matrix(3161,868,2480,681) (-11/40,-14/51) -> (14/11,51/40) Hyperbolic Matrix(599,164,84,23) (-14/51,-3/11) -> (7/1,22/3) Hyperbolic Matrix(3317,898,1954,529) (-13/48,-10/37) -> (56/33,17/10) Hyperbolic Matrix(1867,504,426,115) (-10/37,-7/26) -> (35/8,22/5) Hyperbolic Matrix(1951,524,592,159) (-7/26,-11/41) -> (23/7,33/10) Hyperbolic Matrix(3725,998,2288,613) (-11/41,-15/56) -> (13/8,57/35) Hyperbolic Matrix(3809,1020,6606,1769) (-15/56,-19/71) -> (49/85,15/26) Hyperbolic Matrix(9649,2580,2876,769) (-23/86,-4/15) -> (104/31,47/14) Hyperbolic Matrix(10039,2662,4220,1119) (-13/49,-22/83) -> (88/37,69/29) Hyperbolic Matrix(9109,2414,6328,1677) (-22/83,-9/34) -> (95/66,36/25) Hyperbolic Matrix(3285,868,2108,557) (-9/34,-14/53) -> (14/9,53/34) Hyperbolic Matrix(419,110,758,199) (-5/19,-6/23) -> (16/29,5/9) Hyperbolic Matrix(1929,502,1172,305) (-6/23,-7/27) -> (51/31,28/17) Hyperbolic Matrix(1335,344,586,151) (-7/27,-1/4) -> (41/18,57/25) Hyperbolic Matrix(977,234,572,137) (-1/4,-5/21) -> (29/17,41/24) Hyperbolic Matrix(1383,328,974,231) (-5/21,-4/17) -> (44/31,27/19) Hyperbolic Matrix(3485,818,1538,361) (-4/17,-15/64) -> (77/34,34/15) Hyperbolic Matrix(1215,284,646,151) (-11/47,-7/30) -> (15/8,17/9) Hyperbolic Matrix(2669,622,1858,433) (-7/30,-10/43) -> (56/39,23/16) Hyperbolic Matrix(4603,1068,7426,1723) (-13/56,-3/13) -> (75/121,31/50) Hyperbolic Matrix(14009,3220,5956,1369) (-20/87,-17/74) -> (127/54,40/17) Hyperbolic Matrix(24869,5710,15370,3529) (-17/74,-14/61) -> (144/89,233/144) Hyperbolic Matrix(2573,590,1208,277) (-14/61,-11/48) -> (17/8,32/15) Hyperbolic Matrix(4663,1068,1288,295) (-11/48,-8/35) -> (76/21,29/8) Hyperbolic Matrix(8679,1982,4900,1119) (-8/35,-21/92) -> (85/48,62/35) Hyperbolic Matrix(31573,7206,13254,3025) (-21/92,-34/149) -> (212/89,81/34) Hyperbolic Matrix(3535,806,1364,311) (-13/57,-5/22) -> (57/22,13/5) Hyperbolic Matrix(1041,236,322,73) (-5/22,-7/31) -> (29/9,13/4) Hyperbolic Matrix(559,126,1362,307) (-7/31,-2/9) -> (16/39,7/17) Hyperbolic Matrix(317,70,240,53) (-2/9,-7/32) -> (21/16,4/3) Hyperbolic Matrix(3409,744,1984,433) (-7/32,-12/55) -> (12/7,55/32) Hyperbolic Matrix(3407,742,1428,311) (-12/55,-5/23) -> (31/13,74/31) Hyperbolic Matrix(1741,378,1110,241) (-5/23,-13/60) -> (47/30,11/7) Hyperbolic Matrix(8625,1868,12268,2657) (-13/60,-21/97) -> (71/101,45/64) Hyperbolic Matrix(315,68,1978,427) (-8/37,-11/51) -> (3/19,4/25) Hyperbolic Matrix(3557,766,1342,289) (-14/65,-3/14) -> (53/20,8/3) Hyperbolic Matrix(6455,1372,9292,1975) (-10/47,-17/80) -> (25/36,66/95) Hyperbolic Matrix(3543,752,2596,551) (-17/80,-7/33) -> (15/11,71/52) Hyperbolic Matrix(3619,766,2830,599) (-7/33,-11/52) -> (23/18,55/43) Hyperbolic Matrix(9199,1944,4008,847) (-11/52,-15/71) -> (39/17,101/44) Hyperbolic Matrix(2435,514,1966,415) (-15/71,-4/19) -> (26/21,31/25) Hyperbolic Matrix(1021,214,1646,345) (-4/19,-5/24) -> (31/50,18/29) Hyperbolic Matrix(627,130,1172,243) (-5/24,-6/29) -> (8/15,15/28) Hyperbolic Matrix(3205,662,702,145) (-6/29,-7/34) -> (73/16,32/7) Hyperbolic Matrix(545,112,1562,321) (-7/34,-1/5) -> (15/43,7/20) Hyperbolic Matrix(921,176,382,73) (-1/5,-4/21) -> (12/5,41/17) Hyperbolic Matrix(1451,274,842,159) (-4/21,-3/16) -> (31/18,50/29) Hyperbolic Matrix(991,184,684,127) (-3/16,-5/27) -> (13/9,29/20) Hyperbolic Matrix(379,70,1294,239) (-5/27,-2/11) -> (12/41,5/17) Hyperbolic Matrix(983,176,754,135) (-2/11,-5/28) -> (13/10,30/23) Hyperbolic Matrix(3923,698,1658,295) (-5/28,-8/45) -> (26/11,71/30) Hyperbolic Matrix(3537,622,1052,185) (-3/17,-10/57) -> (84/25,37/11) Hyperbolic Matrix(5933,1034,3678,641) (-11/63,-4/23) -> (50/31,121/75) Hyperbolic Matrix(3677,638,974,169) (-4/23,-9/52) -> (83/22,34/9) Hyperbolic Matrix(225,38,148,25) (-5/29,-1/6) -> (3/2,23/15) Hyperbolic Matrix(517,82,662,105) (-1/6,-3/19) -> (7/9,25/32) Hyperbolic Matrix(1251,196,734,115) (-3/19,-2/13) -> (46/27,29/17) Hyperbolic Matrix(2705,412,952,145) (-2/13,-7/46) -> (17/6,54/19) Hyperbolic Matrix(3725,562,802,121) (-8/53,-3/20) -> (65/14,14/3) Hyperbolic Matrix(509,76,730,109) (-3/20,-1/7) -> (23/33,7/10) Hyperbolic Matrix(501,68,862,117) (-1/7,-2/15) -> (18/31,25/43) Hyperbolic Matrix(1927,254,1358,179) (-2/15,-3/23) -> (61/43,44/31) Hyperbolic Matrix(923,118,1494,191) (-3/23,-1/8) -> (21/34,55/89) Hyperbolic Matrix(211,26,284,35) (-1/8,-2/17) -> (20/27,3/4) Hyperbolic Matrix(2523,292,1754,203) (-2/17,-3/26) -> (23/16,82/57) Hyperbolic Matrix(209,24,1402,161) (-3/26,-1/9) -> (7/47,3/20) Hyperbolic Matrix(347,38,210,23) (-1/9,-1/10) -> (33/20,5/3) Hyperbolic Matrix(1991,192,1234,119) (-1/10,-1/11) -> (121/75,71/44) Hyperbolic Matrix(469,34,400,29) (-1/12,0/1) -> (34/29,61/52) Hyperbolic Matrix(393,-40,226,-23) (0/1,1/9) -> (33/19,40/23) Hyperbolic Matrix(775,-92,278,-33) (1/9,1/8) -> (39/14,53/19) Hyperbolic Matrix(2139,-278,1208,-157) (1/8,3/23) -> (23/13,85/48) Hyperbolic Matrix(327,-44,602,-81) (2/15,1/7) -> (19/35,6/11) Hyperbolic Matrix(217,-32,1458,-215) (1/7,4/27) -> (4/27,7/47) Parabolic Matrix(2047,-308,432,-65) (3/20,5/33) -> (71/15,19/4) Hyperbolic Matrix(431,-66,1182,-181) (5/33,2/13) -> (4/11,23/63) Hyperbolic Matrix(591,-92,1394,-217) (2/13,3/19) -> (25/59,14/33) Hyperbolic Matrix(4121,-714,2326,-403) (5/29,4/23) -> (62/35,101/57) Hyperbolic Matrix(2111,-368,740,-129) (4/23,7/40) -> (57/20,20/7) Hyperbolic Matrix(3481,-610,1478,-259) (7/40,3/17) -> (73/31,33/14) Hyperbolic Matrix(473,-84,580,-103) (3/17,2/11) -> (22/27,9/11) Hyperbolic Matrix(523,-96,158,-29) (2/11,3/16) -> (33/10,10/3) Hyperbolic Matrix(939,-178,364,-69) (3/16,1/5) -> (49/19,31/12) Hyperbolic Matrix(821,-172,358,-75) (1/5,4/19) -> (16/7,39/17) Hyperbolic Matrix(2047,-432,308,-65) (4/19,11/52) -> (53/8,20/3) Hyperbolic Matrix(2199,-466,1024,-217) (11/52,7/33) -> (15/7,43/20) Hyperbolic Matrix(1173,-254,254,-55) (3/14,5/23) -> (23/5,37/8) Hyperbolic Matrix(559,-122,866,-189) (5/23,2/9) -> (20/31,11/17) Hyperbolic Matrix(303,-68,254,-57) (2/9,5/22) -> (19/16,6/5) Hyperbolic Matrix(253,-58,554,-127) (5/22,3/13) -> (5/11,11/24) Hyperbolic Matrix(2311,-540,1408,-329) (7/30,4/17) -> (64/39,23/14) Hyperbolic Matrix(953,-226,350,-83) (4/17,1/4) -> (49/18,30/11) Hyperbolic Matrix(1919,-498,3102,-805) (7/27,6/23) -> (60/97,13/21) Hyperbolic Matrix(1327,-348,3634,-953) (11/42,5/19) -> (23/63,19/52) Hyperbolic Matrix(931,-246,246,-65) (5/19,4/15) -> (34/9,19/5) Hyperbolic Matrix(1125,-302,488,-131) (4/15,7/26) -> (23/10,30/13) Hyperbolic Matrix(1661,-448,634,-171) (7/26,3/11) -> (55/21,21/8) Hyperbolic Matrix(437,-120,244,-67) (3/11,5/18) -> (25/14,9/5) Hyperbolic Matrix(437,-122,1114,-311) (5/18,7/25) -> (9/23,11/28) Hyperbolic Matrix(727,-204,1258,-353) (7/25,2/7) -> (26/45,11/19) Hyperbolic Matrix(337,-98,1152,-335) (2/7,7/24) -> (7/24,12/41) Parabolic Matrix(3923,-1160,1532,-453) (13/44,8/27) -> (64/25,41/16) Hyperbolic Matrix(3489,-1036,2152,-639) (8/27,11/37) -> (47/29,60/37) Hyperbolic Matrix(4299,-1280,6116,-1821) (11/37,14/47) -> (26/37,71/101) Hyperbolic Matrix(669,-200,572,-171) (14/47,3/10) -> (7/6,34/29) Hyperbolic Matrix(523,-158,96,-29) (3/10,7/23) -> (27/5,11/2) Hyperbolic Matrix(2185,-666,666,-203) (7/23,11/36) -> (59/18,23/7) Hyperbolic Matrix(2753,-842,1710,-523) (11/36,4/13) -> (66/41,29/18) Hyperbolic Matrix(1701,-530,1088,-339) (9/29,5/16) -> (25/16,61/39) Hyperbolic Matrix(661,-208,518,-163) (5/16,1/3) -> (37/29,23/18) Hyperbolic Matrix(369,-128,1058,-367) (1/3,8/23) -> (8/23,15/43) Parabolic Matrix(2111,-740,368,-129) (7/20,13/37) -> (63/11,23/4) Hyperbolic Matrix(3715,-1306,3166,-1113) (13/37,19/54) -> (61/52,27/23) Hyperbolic Matrix(1465,-518,642,-227) (6/17,11/31) -> (57/25,16/7) Hyperbolic Matrix(2011,-716,778,-277) (11/31,5/14) -> (31/12,75/29) Hyperbolic Matrix(685,-246,866,-311) (5/14,9/25) -> (15/19,19/24) Hyperbolic Matrix(365,-132,318,-115) (9/25,4/11) -> (8/7,15/13) Hyperbolic Matrix(4859,-1776,3450,-1261) (19/52,15/41) -> (69/49,31/22) Hyperbolic Matrix(4175,-1528,5992,-2193) (15/41,26/71) -> (62/89,23/33) Hyperbolic Matrix(4811,-1762,3312,-1213) (26/71,11/30) -> (61/42,16/11) Hyperbolic Matrix(953,-350,226,-83) (11/30,7/19) -> (21/5,17/4) Hyperbolic Matrix(317,-118,180,-67) (7/19,3/8) -> (7/4,23/13) Hyperbolic Matrix(1305,-494,494,-187) (3/8,11/29) -> (29/11,37/14) Hyperbolic Matrix(763,-290,1034,-393) (11/29,8/21) -> (14/19,17/23) Hyperbolic Matrix(1661,-634,448,-171) (8/21,13/34) -> (37/10,26/7) Hyperbolic Matrix(5875,-2248,2062,-789) (13/34,31/81) -> (37/13,57/20) Hyperbolic Matrix(5559,-2128,1570,-601) (31/81,18/47) -> (46/13,39/11) Hyperbolic Matrix(4123,-1580,1704,-653) (18/47,5/13) -> (75/31,46/19) Hyperbolic Matrix(2549,-984,1790,-691) (5/13,17/44) -> (37/26,47/33) Hyperbolic Matrix(2011,-778,716,-277) (17/44,12/31) -> (14/5,45/16) Hyperbolic Matrix(939,-364,178,-69) (12/31,7/18) -> (21/4,16/3) Hyperbolic Matrix(893,-348,1650,-643) (7/18,16/41) -> (20/37,13/24) Hyperbolic Matrix(3923,-1532,1160,-453) (16/41,9/23) -> (71/21,44/13) Hyperbolic Matrix(397,-162,968,-395) (2/5,9/22) -> (9/22,16/39) Parabolic Matrix(2327,-960,526,-217) (7/17,19/46) -> (53/12,31/7) Hyperbolic Matrix(4123,-1704,1580,-653) (19/46,12/29) -> (60/23,47/18) Hyperbolic Matrix(3813,-1580,2324,-963) (12/29,17/41) -> (41/25,64/39) Hyperbolic Matrix(1837,-768,830,-347) (5/12,18/43) -> (42/19,31/14) Hyperbolic Matrix(2273,-952,4238,-1775) (18/43,31/74) -> (15/28,22/41) Hyperbolic Matrix(4061,-1704,1704,-715) (13/31,21/50) -> (81/34,31/13) Hyperbolic Matrix(3579,-1504,2620,-1101) (21/50,8/19) -> (56/41,41/30) Hyperbolic Matrix(4709,-1986,6760,-2851) (8/19,27/64) -> (39/56,62/89) Hyperbolic Matrix(24287,-10248,6714,-2833) (27/64,46/109) -> (170/47,123/34) Hyperbolic Matrix(12773,-5392,3532,-1491) (46/109,19/45) -> (47/13,170/47) Hyperbolic Matrix(3399,-1436,2180,-921) (19/45,11/26) -> (53/34,39/25) Hyperbolic Matrix(4051,-1716,6924,-2933) (11/26,25/59) -> (31/53,55/94) Hyperbolic Matrix(3481,-1478,610,-259) (14/33,17/40) -> (57/10,40/7) Hyperbolic Matrix(609,-260,260,-111) (17/40,3/7) -> (7/3,47/20) Hyperbolic Matrix(1125,-488,302,-131) (3/7,10/23) -> (26/7,41/11) Hyperbolic Matrix(821,-358,172,-75) (10/23,7/16) -> (19/4,24/5) Hyperbolic Matrix(1465,-642,518,-227) (7/16,18/41) -> (48/17,17/6) Hyperbolic Matrix(3101,-1362,4524,-1987) (18/41,29/66) -> (37/54,24/35) Hyperbolic Matrix(1075,-474,474,-209) (11/25,4/9) -> (34/15,25/11) Hyperbolic Matrix(557,-250,684,-307) (4/9,9/20) -> (13/16,22/27) Hyperbolic Matrix(1837,-830,768,-347) (14/31,5/11) -> (55/23,12/5) Hyperbolic Matrix(3981,-1846,1102,-511) (6/13,13/28) -> (65/18,112/31) Hyperbolic Matrix(2199,-1024,466,-217) (13/28,7/15) -> (33/7,85/18) Hyperbolic Matrix(589,-278,464,-219) (7/15,1/2) -> (33/26,47/37) Hyperbolic Matrix(447,-236,608,-321) (1/2,8/15) -> (36/49,25/34) Hyperbolic Matrix(6293,-3378,1332,-715) (22/41,7/13) -> (137/29,52/11) Hyperbolic Matrix(3221,-1740,1368,-739) (7/13,20/37) -> (40/17,73/31) Hyperbolic Matrix(441,-242,800,-439) (6/11,11/20) -> (11/20,16/29) Parabolic Matrix(437,-244,120,-67) (5/9,9/16) -> (29/8,11/3) Hyperbolic Matrix(317,-180,118,-67) (9/16,4/7) -> (8/3,27/10) Hyperbolic Matrix(393,-226,40,-23) (4/7,19/33) -> (9/1,10/1) Hyperbolic Matrix(4013,-2312,6962,-4011) (19/33,34/59) -> (34/59,49/85) Parabolic Matrix(12733,-7354,4874,-2815) (41/71,26/45) -> (128/49,81/31) Hyperbolic Matrix(1021,-592,902,-523) (11/19,29/50) -> (9/8,17/15) Hyperbolic Matrix(7683,-4468,2980,-1733) (25/43,32/55) -> (116/45,49/19) Hyperbolic Matrix(1291,-754,940,-549) (7/12,31/53) -> (59/43,11/8) Hyperbolic Matrix(5155,-3028,1602,-941) (37/63,10/17) -> (74/23,29/9) Hyperbolic Matrix(195,-116,116,-69) (10/17,3/5) -> (5/3,22/13) Hyperbolic Matrix(1467,-890,2006,-1217) (3/5,17/28) -> (19/26,49/67) Hyperbolic Matrix(1697,-1032,1156,-703) (31/51,14/23) -> (22/15,25/17) Hyperbolic Matrix(2311,-1408,540,-329) (14/23,25/41) -> (47/11,30/7) Hyperbolic Matrix(3157,-1926,1926,-1175) (25/41,11/18) -> (59/36,41/25) Hyperbolic Matrix(653,-400,462,-283) (11/18,8/13) -> (24/17,17/12) Hyperbolic Matrix(3489,-2152,1036,-639) (8/13,29/47) -> (37/11,64/19) Hyperbolic Matrix(5405,-3336,3336,-2059) (29/47,21/34) -> (81/50,47/29) Hyperbolic Matrix(18469,-11414,11228,-6939) (55/89,89/144) -> (125/76,51/31) Hyperbolic Matrix(21305,-13168,13602,-8407) (89/144,34/55) -> (130/83,47/30) Hyperbolic Matrix(8161,-5046,5976,-3695) (34/55,47/76) -> (71/52,56/41) Hyperbolic Matrix(21797,-13482,9576,-5923) (47/76,60/97) -> (66/29,173/76) Hyperbolic Matrix(2753,-1710,842,-523) (18/29,23/37) -> (49/15,36/11) Hyperbolic Matrix(457,-288,722,-455) (5/8,12/19) -> (12/19,19/30) Parabolic Matrix(7341,-4688,4502,-2875) (30/47,23/36) -> (75/46,106/65) Hyperbolic Matrix(1701,-1088,530,-339) (23/36,16/25) -> (16/5,45/14) Hyperbolic Matrix(2797,-1792,2040,-1307) (16/25,25/39) -> (37/27,48/35) Hyperbolic Matrix(3399,-2180,1436,-921) (25/39,9/14) -> (71/30,45/19) Hyperbolic Matrix(10747,-6924,6862,-4421) (38/59,29/45) -> (83/53,130/83) Hyperbolic Matrix(791,-510,76,-49) (29/45,20/31) -> (10/1,11/1) Hyperbolic Matrix(1957,-1268,338,-219) (11/17,24/37) -> (52/9,29/5) Hyperbolic Matrix(2143,-1392,1578,-1025) (24/37,13/20) -> (19/14,72/53) Hyperbolic Matrix(639,-416,788,-513) (13/20,2/3) -> (30/37,13/16) Hyperbolic Matrix(773,-528,590,-403) (2/3,13/19) -> (17/13,38/29) Hyperbolic Matrix(4379,-3000,1140,-781) (13/19,37/54) -> (23/6,73/19) Hyperbolic Matrix(1875,-1288,1102,-757) (24/35,11/16) -> (17/10,80/47) Hyperbolic Matrix(4811,-3312,1762,-1213) (11/16,31/45) -> (101/37,71/26) Hyperbolic Matrix(8075,-5564,3084,-2125) (31/45,20/29) -> (144/55,55/21) Hyperbolic Matrix(3515,-2438,2562,-1777) (9/13,34/49) -> (48/35,59/43) Hyperbolic Matrix(4941,-3430,1756,-1219) (34/49,25/36) -> (45/16,76/27) Hyperbolic Matrix(2633,-1830,3256,-2263) (41/59,16/23) -> (38/47,17/21) Hyperbolic Matrix(2549,-1790,984,-691) (7/10,26/37) -> (44/17,57/22) Hyperbolic Matrix(11175,-7858,3022,-2125) (45/64,64/91) -> (122/33,37/10) Hyperbolic Matrix(11029,-7758,2984,-2099) (64/91,19/27) -> (85/23,122/33) Hyperbolic Matrix(653,-462,400,-283) (12/17,5/7) -> (31/19,18/11) Hyperbolic Matrix(469,-338,648,-467) (5/7,13/18) -> (13/18,21/29) Parabolic Matrix(2797,-2040,1792,-1307) (8/11,27/37) -> (39/25,64/41) Hyperbolic Matrix(1755,-1282,538,-393) (27/37,19/26) -> (13/4,49/15) Hyperbolic Matrix(3579,-2620,1504,-1101) (30/41,11/15) -> (69/29,50/21) Hyperbolic Matrix(5359,-3942,1214,-893) (25/34,39/53) -> (75/17,53/12) Hyperbolic Matrix(2143,-1578,1392,-1025) (39/53,14/19) -> (20/13,57/37) Hyperbolic Matrix(1141,-844,534,-395) (17/23,20/27) -> (32/15,15/7) Hyperbolic Matrix(773,-590,528,-403) (16/21,13/17) -> (19/13,22/15) Hyperbolic Matrix(2177,-1668,1544,-1183) (13/17,23/30) -> (31/22,55/39) Hyperbolic Matrix(315,-244,244,-189) (10/13,7/9) -> (9/7,22/17) Hyperbolic Matrix(6439,-5032,2366,-1849) (25/32,43/55) -> (117/43,49/18) Hyperbolic Matrix(661,-518,208,-163) (18/23,11/14) -> (19/6,16/5) Hyperbolic Matrix(589,-464,278,-219) (11/14,26/33) -> (2/1,17/8) Hyperbolic Matrix(4265,-3362,5408,-4263) (26/33,41/52) -> (41/52,56/71) Parabolic Matrix(277,-220,34,-27) (19/24,4/5) -> (8/1,17/2) Hyperbolic Matrix(4843,-3900,1854,-1493) (4/5,25/31) -> (175/67,128/49) Hyperbolic Matrix(477,-392,578,-475) (9/11,14/17) -> (14/17,19/23) Parabolic Matrix(303,-254,68,-57) (5/6,11/13) -> (31/7,9/2) Hyperbolic Matrix(1811,-1538,670,-569) (11/13,17/20) -> (27/10,73/27) Hyperbolic Matrix(1809,-1540,1540,-1311) (17/20,23/27) -> (27/23,47/40) Hyperbolic Matrix(669,-572,200,-171) (23/27,6/7) -> (10/3,57/17) Hyperbolic Matrix(365,-318,132,-115) (6/7,7/8) -> (11/4,36/13) Hyperbolic Matrix(1021,-902,592,-523) (7/8,8/9) -> (50/29,69/40) Hyperbolic Matrix(423,-382,196,-177) (9/10,1/1) -> (41/19,13/6) Hyperbolic Matrix(535,-582,148,-161) (1/1,10/9) -> (112/31,47/13) Hyperbolic Matrix(1453,-1648,842,-955) (17/15,8/7) -> (88/51,19/11) Hyperbolic Matrix(7639,-8978,6498,-7637) (47/40,67/57) -> (67/57,87/74) Parabolic Matrix(1111,-1308,626,-737) (20/17,13/11) -> (55/31,16/9) Hyperbolic Matrix(965,-1142,398,-471) (13/11,19/16) -> (63/26,17/7) Hyperbolic Matrix(477,-578,392,-475) (6/5,17/14) -> (17/14,28/23) Parabolic Matrix(473,-580,84,-103) (11/9,16/13) -> (28/5,17/3) Hyperbolic Matrix(639,-788,416,-513) (16/13,21/17) -> (23/15,20/13) Hyperbolic Matrix(2633,-3256,1830,-2263) (21/17,26/21) -> (82/57,59/41) Hyperbolic Matrix(387,-482,110,-137) (31/25,5/4) -> (7/2,53/15) Hyperbolic Matrix(685,-866,246,-311) (5/4,19/15) -> (25/9,39/14) Hyperbolic Matrix(4265,-5408,3362,-4263) (19/15,52/41) -> (52/41,85/67) Parabolic Matrix(4315,-5482,1638,-2081) (47/37,14/11) -> (108/41,29/11) Hyperbolic Matrix(845,-1078,272,-347) (51/40,37/29) -> (3/1,25/8) Hyperbolic Matrix(2503,-3202,598,-765) (55/43,32/25) -> (46/11,21/5) Hyperbolic Matrix(1891,-2450,1458,-1889) (22/17,35/27) -> (35/27,48/37) Parabolic Matrix(1883,-2458,1156,-1509) (30/23,17/13) -> (57/35,44/27) Hyperbolic Matrix(1851,-2428,1126,-1477) (38/29,21/16) -> (23/14,74/45) Hyperbolic Matrix(763,-1034,290,-393) (4/3,19/14) -> (21/8,50/19) Hyperbolic Matrix(11119,-15106,2892,-3929) (72/53,125/92) -> (123/32,50/13) Hyperbolic Matrix(11513,-15644,2996,-4071) (125/92,53/39) -> (73/19,123/32) Hyperbolic Matrix(5597,-7608,1656,-2251) (53/39,34/25) -> (98/29,71/21) Hyperbolic Matrix(447,-608,236,-321) (34/25,15/11) -> (17/9,2/1) Hyperbolic Matrix(1467,-2006,890,-1217) (41/30,26/19) -> (28/17,33/20) Hyperbolic Matrix(2485,-3404,1544,-2115) (26/19,37/27) -> (37/23,66/41) Hyperbolic Matrix(469,-648,338,-467) (11/8,18/13) -> (18/13,25/18) Parabolic Matrix(2421,-3406,1546,-2175) (7/5,38/27) -> (36/23,83/53) Hyperbolic Matrix(7673,-10804,2806,-3951) (38/27,69/49) -> (41/15,134/49) Hyperbolic Matrix(10855,-15432,4148,-5897) (27/19,91/64) -> (157/60,123/47) Hyperbolic Matrix(9241,-13142,3532,-5023) (91/64,64/45) -> (34/13,157/60) Hyperbolic Matrix(4299,-6116,1280,-1821) (64/45,37/26) -> (47/14,84/25) Hyperbolic Matrix(4175,-5992,1528,-2193) (33/23,56/39) -> (112/41,41/15) Hyperbolic Matrix(4471,-6440,1728,-2489) (36/25,49/34) -> (119/46,44/17) Hyperbolic Matrix(2387,-3442,1396,-2013) (49/34,13/9) -> (53/31,65/38) Hyperbolic Matrix(2049,-2974,556,-807) (29/20,45/31) -> (11/3,59/16) Hyperbolic Matrix(2271,-3310,706,-1029) (16/11,35/24) -> (45/14,74/23) Hyperbolic Matrix(3101,-4524,1362,-1987) (35/24,19/13) -> (107/47,41/18) Hyperbolic Matrix(4139,-6092,2558,-3765) (25/17,3/2) -> (233/144,89/55) Hyperbolic Matrix(16887,-26018,7418,-11429) (57/37,94/61) -> (280/123,107/47) Hyperbolic Matrix(17273,-26622,7588,-11695) (94/61,37/24) -> (173/76,280/123) Hyperbolic Matrix(2853,-4400,1610,-2483) (37/24,17/11) -> (101/57,39/22) Hyperbolic Matrix(559,-866,122,-189) (17/11,14/9) -> (32/7,23/5) Hyperbolic Matrix(2857,-4460,1670,-2607) (64/41,25/16) -> (65/38,12/7) Hyperbolic Matrix(4569,-7148,2684,-4199) (61/39,36/23) -> (80/47,63/37) Hyperbolic Matrix(457,-722,288,-455) (11/7,19/12) -> (19/12,27/17) Parabolic Matrix(1919,-3102,498,-805) (21/13,76/47) -> (50/13,27/7) Hyperbolic Matrix(3885,-6284,1634,-2643) (76/47,55/34) -> (19/8,88/37) Hyperbolic Matrix(10373,-16782,2274,-3679) (55/34,144/89) -> (114/25,73/16) Hyperbolic Matrix(16331,-26450,10082,-16329) (34/21,115/71) -> (115/71,196/121) Parabolic Matrix(4233,-6866,1844,-2991) (60/37,13/8) -> (101/44,62/27) Hyperbolic Matrix(4903,-7992,1792,-2921) (44/27,75/46) -> (93/34,52/19) Hyperbolic Matrix(4831,-7880,1060,-1729) (106/65,31/19) -> (41/9,114/25) Hyperbolic Matrix(1551,-2540,494,-809) (18/11,77/47) -> (47/15,22/7) Hyperbolic Matrix(2867,-4698,916,-1501) (77/47,59/36) -> (25/8,47/15) Hyperbolic Matrix(1795,-3042,1058,-1793) (22/13,39/23) -> (39/23,56/33) Parabolic Matrix(2037,-3482,320,-547) (41/24,53/31) -> (19/3,51/8) Hyperbolic Matrix(2029,-3488,388,-667) (55/32,43/25) -> (47/9,21/4) Hyperbolic Matrix(9169,-15818,2798,-4827) (69/40,88/51) -> (154/47,59/18) Hyperbolic Matrix(727,-1258,204,-353) (19/11,26/15) -> (32/9,25/7) Hyperbolic Matrix(4013,-6962,2312,-4011) (26/15,59/34) -> (59/34,92/53) Parabolic Matrix(407,-710,90,-157) (40/23,7/4) -> (9/2,50/11) Hyperbolic Matrix(2369,-4202,358,-635) (39/22,55/31) -> (33/5,53/8) Hyperbolic Matrix(2363,-4210,490,-873) (57/32,41/23) -> (53/11,29/6) Hyperbolic Matrix(2161,-3854,1002,-1787) (41/23,66/37) -> (28/13,41/19) Hyperbolic Matrix(441,-800,242,-439) (9/5,20/11) -> (20/11,31/17) Parabolic Matrix(327,-602,44,-81) (11/6,24/13) -> (22/3,15/2) Hyperbolic Matrix(893,-1650,348,-643) (24/13,13/7) -> (59/23,18/7) Hyperbolic Matrix(2273,-4238,952,-1775) (13/7,28/15) -> (74/31,117/49) Hyperbolic Matrix(3759,-8084,1574,-3385) (43/20,28/13) -> (160/67,43/18) Hyperbolic Matrix(253,-554,58,-127) (13/6,11/5) -> (13/3,35/8) Hyperbolic Matrix(1855,-4098,502,-1109) (11/5,42/19) -> (48/13,85/23) Hyperbolic Matrix(211,-472,38,-85) (20/9,9/4) -> (11/2,28/5) Hyperbolic Matrix(1635,-3698,722,-1633) (9/4,43/19) -> (43/19,77/34) Parabolic Matrix(4081,-9374,1128,-2591) (62/27,23/10) -> (123/34,76/21) Hyperbolic Matrix(731,-1688,262,-605) (30/13,7/3) -> (53/19,14/5) Hyperbolic Matrix(6439,-15138,2738,-6437) (47/20,87/37) -> (87/37,127/54) Parabolic Matrix(591,-1394,92,-217) (33/14,26/11) -> (32/5,13/2) Hyperbolic Matrix(3901,-9242,810,-1919) (45/19,109/46) -> (77/16,53/11) Hyperbolic Matrix(3183,-7544,662,-1569) (109/46,64/27) -> (24/5,77/16) Hyperbolic Matrix(2813,-6672,1030,-2443) (64/27,19/8) -> (71/26,112/41) Hyperbolic Matrix(14411,-34322,6050,-14409) (50/21,131/55) -> (131/55,212/89) Parabolic Matrix(20057,-47894,4246,-10139) (117/49,160/67) -> (222/47,137/29) Hyperbolic Matrix(4261,-10184,1628,-3891) (43/18,55/23) -> (123/47,89/34) Hyperbolic Matrix(853,-2060,200,-483) (41/17,29/12) -> (17/4,47/11) Hyperbolic Matrix(3061,-7416,906,-2195) (46/19,63/26) -> (27/8,98/29) Hyperbolic Matrix(397,-968,162,-395) (17/7,22/9) -> (22/9,27/11) Parabolic Matrix(437,-1114,122,-311) (5/2,23/9) -> (25/7,43/12) Hyperbolic Matrix(2073,-5306,470,-1203) (23/9,64/25) -> (22/5,75/17) Hyperbolic Matrix(1583,-4060,278,-713) (41/16,59/23) -> (17/3,57/10) Hyperbolic Matrix(3485,-8978,1352,-3483) (18/7,67/26) -> (67/26,116/45) Parabolic Matrix(4529,-11714,1608,-4159) (75/29,119/46) -> (107/38,31/11) Hyperbolic Matrix(7587,-19816,2146,-5605) (47/18,175/67) -> (53/15,99/28) Hyperbolic Matrix(2059,-5382,360,-941) (81/31,34/13) -> (40/7,63/11) Hyperbolic Matrix(463,-1212,34,-89) (89/34,144/55) -> (12/1,1/0) Hyperbolic Matrix(1531,-4050,578,-1529) (37/14,45/17) -> (45/17,53/20) Parabolic Matrix(2611,-7062,552,-1493) (73/27,46/17) -> (52/11,71/15) Hyperbolic Matrix(1639,-4438,284,-769) (46/17,65/24) -> (23/4,52/9) Hyperbolic Matrix(769,-2084,100,-271) (65/24,19/7) -> (23/3,31/4) Hyperbolic Matrix(3401,-9248,1250,-3399) (19/7,68/25) -> (68/25,117/43) Parabolic Matrix(10923,-29872,3088,-8445) (134/49,227/83) -> (145/41,46/13) Hyperbolic Matrix(13147,-35958,3718,-10169) (227/83,93/34) -> (99/28,145/41) Hyperbolic Matrix(431,-1182,66,-181) (52/19,11/4) -> (13/2,46/7) Hyperbolic Matrix(22719,-63958,4810,-13541) (76/27,183/65) -> (307/65,222/47) Hyperbolic Matrix(17191,-48404,3640,-10249) (183/65,107/38) -> (85/18,307/65) Hyperbolic Matrix(2435,-6926,726,-2065) (54/19,37/13) -> (57/17,104/31) Hyperbolic Matrix(369,-1058,128,-367) (20/7,23/8) -> (23/8,26/9) Parabolic Matrix(5511,-18050,1682,-5509) (36/11,95/29) -> (95/29,154/47) Parabolic Matrix(823,-2774,170,-573) (64/19,27/8) -> (29/6,34/7) Hyperbolic Matrix(337,-1152,98,-335) (17/5,24/7) -> (24/7,31/9) Parabolic Matrix(1983,-7318,436,-1609) (59/16,48/13) -> (50/11,91/20) Hyperbolic Matrix(223,-832,26,-97) (41/11,15/4) -> (17/2,9/1) Hyperbolic Matrix(1275,-4802,338,-1273) (15/4,49/13) -> (49/13,83/22) Parabolic Matrix(593,-2260,90,-343) (19/5,42/11) -> (46/7,33/5) Hyperbolic Matrix(301,-1250,72,-299) (4/1,25/6) -> (25/6,46/11) Parabolic Matrix(1123,-5202,242,-1121) (37/8,51/11) -> (51/11,65/14) Parabolic Matrix(261,-1352,50,-259) (5/1,26/5) -> (26/5,47/9) Parabolic Matrix(217,-1458,32,-215) (20/3,27/4) -> (27/4,34/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,2,1) Matrix(475,226,-1776,-845) -> Matrix(3,-2,2,-1) Matrix(2111,996,3406,1607) -> Matrix(1,0,2,1) Matrix(1283,602,1754,823) -> Matrix(13,-4,10,-3) Matrix(811,378,118,55) -> Matrix(9,-4,-2,1) Matrix(1967,914,2434,1131) -> Matrix(15,-8,2,-1) Matrix(2427,1124,922,427) -> Matrix(7,-4,2,-1) Matrix(2415,1112,1492,687) -> Matrix(3,-2,8,-5) Matrix(2179,1000,3092,1419) -> Matrix(3,-2,2,-1) Matrix(1373,628,798,365) -> Matrix(5,-4,4,-3) Matrix(1133,512,790,357) -> Matrix(1,-2,0,1) Matrix(563,254,-3726,-1681) -> Matrix(1,0,-2,1) Matrix(1921,866,-5082,-2291) -> Matrix(1,0,2,1) Matrix(1123,504,1914,859) -> Matrix(1,0,0,1) Matrix(1009,452,788,353) -> Matrix(1,0,0,1) Matrix(1443,638,1780,787) -> Matrix(7,-4,2,-1) Matrix(557,246,-3222,-1423) -> Matrix(1,0,-2,1) Matrix(1107,488,-4766,-2101) -> Matrix(1,0,0,1) Matrix(1439,634,-6648,-2929) -> Matrix(7,-4,2,-1) Matrix(555,244,-2104,-925) -> Matrix(1,-2,2,-3) Matrix(1103,484,1438,631) -> Matrix(3,-2,2,-1) Matrix(769,336,222,97) -> Matrix(7,-6,6,-5) Matrix(987,430,1430,623) -> Matrix(3,-4,4,-5) Matrix(1207,524,2080,903) -> Matrix(1,0,0,1) Matrix(545,236,1314,569) -> Matrix(3,-2,2,-1) Matrix(323,138,110,47) -> Matrix(1,0,2,1) Matrix(1943,826,3018,1283) -> Matrix(1,0,-4,1) Matrix(1615,686,864,367) -> Matrix(1,0,-4,1) Matrix(2257,956,1400,593) -> Matrix(1,0,0,1) Matrix(2687,1136,3328,1407) -> Matrix(7,-4,2,-1) Matrix(3653,1544,750,317) -> Matrix(1,0,0,1) Matrix(3863,1632,4940,2087) -> Matrix(3,-2,2,-1) Matrix(427,180,-1606,-677) -> Matrix(5,-2,8,-3) Matrix(1175,494,-5454,-2293) -> Matrix(15,-8,2,-1) Matrix(2675,1124,426,179) -> Matrix(7,-4,2,-1) Matrix(1067,448,-6090,-2557) -> Matrix(3,-2,2,-1) Matrix(1497,628,2348,985) -> Matrix(3,-2,8,-5) Matrix(1923,806,4588,1923) -> Matrix(5,-4,4,-3) Matrix(2669,1118,4586,1921) -> Matrix(5,-4,4,-3) Matrix(321,134,424,177) -> Matrix(3,-2,2,-1) Matrix(529,220,214,89) -> Matrix(3,-2,2,-1) Matrix(425,176,1374,569) -> Matrix(1,0,0,1) Matrix(2113,874,1482,613) -> Matrix(1,-4,0,1) Matrix(4123,1704,-18072,-7469) -> Matrix(3,2,4,3) Matrix(4119,1702,530,219) -> Matrix(1,0,-2,1) Matrix(4327,1786,2430,1003) -> Matrix(1,0,0,1) Matrix(13617,5618,5170,2133) -> Matrix(3,-2,2,-1) Matrix(18045,7442,10972,4525) -> Matrix(3,-2,2,-1) Matrix(631,260,-2740,-1129) -> Matrix(1,-2,2,-3) Matrix(735,302,-4208,-1729) -> Matrix(1,-2,0,1) Matrix(2417,992,3472,1425) -> Matrix(1,0,0,1) Matrix(2625,1076,3574,1465) -> Matrix(3,-2,2,-1) Matrix(1157,474,-4938,-2023) -> Matrix(1,-4,2,-7) Matrix(1255,512,1782,727) -> Matrix(1,0,2,1) Matrix(733,298,1252,509) -> Matrix(1,0,2,1) Matrix(1739,686,616,243) -> Matrix(1,0,-4,1) Matrix(1429,562,2352,925) -> Matrix(1,0,-2,1) Matrix(1121,440,614,241) -> Matrix(5,-2,-2,1) Matrix(307,120,-1732,-677) -> Matrix(3,-2,2,-1) Matrix(303,118,-1420,-553) -> Matrix(1,0,-2,1) Matrix(103,40,-1218,-473) -> Matrix(3,-2,2,-1) Matrix(10031,3894,5778,2243) -> Matrix(7,-6,6,-5) Matrix(4861,1886,3446,1337) -> Matrix(1,0,-2,1) Matrix(1621,628,302,117) -> Matrix(5,-4,4,-3) Matrix(605,234,1316,509) -> Matrix(1,0,-2,1) Matrix(301,116,-1108,-427) -> Matrix(1,-2,2,-3) Matrix(1309,502,2412,925) -> Matrix(3,-4,4,-5) Matrix(2213,848,702,269) -> Matrix(1,-4,2,-7) Matrix(1207,462,-4120,-1577) -> Matrix(1,2,0,1) Matrix(9033,3452,6220,2377) -> Matrix(1,0,2,1) Matrix(8731,3336,-31608,-12077) -> Matrix(1,0,8,1) Matrix(2911,1112,500,191) -> Matrix(1,2,0,1) Matrix(2505,956,904,345) -> Matrix(1,0,0,1) Matrix(799,304,502,191) -> Matrix(1,0,10,1) Matrix(5791,2194,2394,907) -> Matrix(13,-2,20,-3) Matrix(3593,1360,996,377) -> Matrix(11,-2,6,-1) Matrix(1195,452,3392,1283) -> Matrix(1,0,0,1) Matrix(101,38,396,149) -> Matrix(1,0,-2,1) Matrix(495,184,1676,623) -> Matrix(7,-2,4,-1) Matrix(1381,512,294,109) -> Matrix(5,-2,8,-3) Matrix(887,328,1966,727) -> Matrix(1,0,-2,1) Matrix(1083,400,-3934,-1453) -> Matrix(1,0,0,1) Matrix(685,252,492,181) -> Matrix(13,-6,-2,1) Matrix(879,322,980,359) -> Matrix(7,-4,2,-1) Matrix(295,108,2248,823) -> Matrix(3,-2,8,-5) Matrix(1761,644,4006,1465) -> Matrix(7,-4,2,-1) Matrix(587,214,96,35) -> Matrix(7,-4,2,-1) Matrix(193,70,488,177) -> Matrix(1,0,0,1) Matrix(677,244,-2228,-803) -> Matrix(3,-4,4,-5) Matrix(1257,452,292,105) -> Matrix(1,0,0,1) Matrix(4933,1770,772,277) -> Matrix(5,2,2,1) Matrix(9569,3432,7542,2705) -> Matrix(1,0,14,1) Matrix(4057,1454,2514,901) -> Matrix(1,0,0,1) Matrix(579,206,2212,787) -> Matrix(1,0,2,1) Matrix(2307,820,3272,1163) -> Matrix(1,0,2,1) Matrix(1055,374,866,307) -> Matrix(1,0,6,1) Matrix(2773,976,1628,573) -> Matrix(7,-2,4,-1) Matrix(4779,1678,6878,2415) -> Matrix(3,-2,2,-1) Matrix(4391,1540,-13940,-4889) -> Matrix(1,0,-2,1) Matrix(7827,2744,1720,603) -> Matrix(1,0,-4,1) Matrix(475,166,764,267) -> Matrix(1,0,-2,1) Matrix(727,230,452,143) -> Matrix(1,0,2,1) Matrix(1085,342,92,29) -> Matrix(3,-2,2,-1) Matrix(12129,3820,10316,3249) -> Matrix(1,0,2,1) Matrix(6511,2048,4524,1423) -> Matrix(5,-2,-2,1) Matrix(1537,482,2618,821) -> Matrix(5,-2,8,-3) Matrix(449,140,542,169) -> Matrix(9,-4,-2,1) Matrix(3055,946,2154,667) -> Matrix(3,-2,2,-1) Matrix(2063,638,540,167) -> Matrix(7,-4,2,-1) Matrix(2325,712,3752,1149) -> Matrix(3,-2,14,-9) Matrix(4019,1230,5094,1559) -> Matrix(79,-52,38,-25) Matrix(5539,1694,9466,2895) -> Matrix(3,-2,-22,15) Matrix(269,82,1158,353) -> Matrix(3,-2,-4,3) Matrix(3117,946,2402,729) -> Matrix(11,-10,10,-9) Matrix(1599,484,446,135) -> Matrix(3,-2,2,-1) Matrix(87,26,532,159) -> Matrix(3,-2,2,-1) Matrix(3617,1076,1590,473) -> Matrix(3,-2,2,-1) Matrix(2027,602,266,79) -> Matrix(5,-4,-6,5) Matrix(883,262,792,235) -> Matrix(5,-4,-6,5) Matrix(703,208,970,287) -> Matrix(15,-14,14,-13) Matrix(2633,772,4560,1337) -> Matrix(1,0,0,1) Matrix(1751,512,790,231) -> Matrix(1,0,2,1) Matrix(261,76,1226,357) -> Matrix(1,0,-2,1) Matrix(1483,430,438,127) -> Matrix(3,-4,4,-5) Matrix(345,98,88,25) -> Matrix(1,0,0,1) Matrix(433,122,-2850,-803) -> Matrix(1,0,0,1) Matrix(3537,994,1982,557) -> Matrix(1,0,0,1) Matrix(2241,628,860,241) -> Matrix(1,2,0,1) Matrix(601,168,948,265) -> Matrix(1,0,2,1) Matrix(599,166,516,143) -> Matrix(1,0,-2,1) Matrix(427,118,2486,687) -> Matrix(1,0,0,1) Matrix(29557,8166,18246,5041) -> Matrix(1,0,10,1) Matrix(6079,1678,2228,615) -> Matrix(1,0,-2,1) Matrix(3339,920,940,259) -> Matrix(1,0,-2,1) Matrix(3161,868,2480,681) -> Matrix(3,-2,8,-5) Matrix(599,164,84,23) -> Matrix(1,0,-2,1) Matrix(3317,898,1954,529) -> Matrix(9,-8,8,-7) Matrix(1867,504,426,115) -> Matrix(1,0,0,1) Matrix(1951,524,592,159) -> Matrix(1,0,0,1) Matrix(3725,998,2288,613) -> Matrix(3,-2,8,-5) Matrix(3809,1020,6606,1769) -> Matrix(7,-6,6,-5) Matrix(9649,2580,2876,769) -> Matrix(3,2,4,3) Matrix(10039,2662,4220,1119) -> Matrix(3,-2,2,-1) Matrix(9109,2414,6328,1677) -> Matrix(1,0,-2,1) Matrix(3285,868,2108,557) -> Matrix(5,-4,-16,13) Matrix(419,110,758,199) -> Matrix(11,-10,10,-9) Matrix(1929,502,1172,305) -> Matrix(3,-4,4,-5) Matrix(1335,344,586,151) -> Matrix(1,-2,2,-3) Matrix(977,234,572,137) -> Matrix(1,0,-2,1) Matrix(1383,328,974,231) -> Matrix(1,0,-2,1) Matrix(3485,818,1538,361) -> Matrix(9,-4,16,-7) Matrix(1215,284,646,151) -> Matrix(3,-2,2,-1) Matrix(2669,622,1858,433) -> Matrix(1,0,-2,1) Matrix(4603,1068,7426,1723) -> Matrix(3,-2,8,-5) Matrix(14009,3220,5956,1369) -> Matrix(13,-12,12,-11) Matrix(24869,5710,15370,3529) -> Matrix(1,-2,4,-7) Matrix(2573,590,1208,277) -> Matrix(1,0,6,1) Matrix(4663,1068,1288,295) -> Matrix(1,0,-2,1) Matrix(8679,1982,4900,1119) -> Matrix(3,-2,2,-1) Matrix(31573,7206,13254,3025) -> Matrix(3,-2,26,-17) Matrix(3535,806,1364,311) -> Matrix(5,-4,4,-3) Matrix(1041,236,322,73) -> Matrix(3,-2,2,-1) Matrix(559,126,1362,307) -> Matrix(15,-14,14,-13) Matrix(317,70,240,53) -> Matrix(1,0,0,1) Matrix(3409,744,1984,433) -> Matrix(3,-4,4,-5) Matrix(3407,742,1428,311) -> Matrix(1,-2,4,-7) Matrix(1741,378,1110,241) -> Matrix(1,-2,-6,13) Matrix(8625,1868,12268,2657) -> Matrix(1,-2,0,1) Matrix(315,68,1978,427) -> Matrix(1,-4,2,-7) Matrix(3557,766,1342,289) -> Matrix(1,-12,0,1) Matrix(6455,1372,9292,1975) -> Matrix(1,2,0,1) Matrix(3543,752,2596,551) -> Matrix(1,2,0,1) Matrix(3619,766,2830,599) -> Matrix(1,0,2,1) Matrix(9199,1944,4008,847) -> Matrix(1,2,2,5) Matrix(2435,514,1966,415) -> Matrix(1,0,2,1) Matrix(1021,214,1646,345) -> Matrix(1,0,2,1) Matrix(627,130,1172,243) -> Matrix(3,2,4,3) Matrix(3205,662,702,145) -> Matrix(1,0,2,1) Matrix(545,112,1562,321) -> Matrix(1,0,14,1) Matrix(921,176,382,73) -> Matrix(1,0,0,1) Matrix(1451,274,842,159) -> Matrix(3,-2,2,-1) Matrix(991,184,684,127) -> Matrix(3,-2,-4,3) Matrix(379,70,1294,239) -> Matrix(11,-10,10,-9) Matrix(983,176,754,135) -> Matrix(1,0,0,1) Matrix(3923,698,1658,295) -> Matrix(1,-2,2,-3) Matrix(3537,622,1052,185) -> Matrix(3,-10,4,-13) Matrix(5933,1034,3678,641) -> Matrix(1,0,2,1) Matrix(3677,638,974,169) -> Matrix(1,-2,0,1) Matrix(225,38,148,25) -> Matrix(1,0,-2,1) Matrix(517,82,662,105) -> Matrix(7,-2,4,-1) Matrix(1251,196,734,115) -> Matrix(3,-2,2,-1) Matrix(2705,412,952,145) -> Matrix(1,0,-4,1) Matrix(3725,562,802,121) -> Matrix(1,0,6,1) Matrix(509,76,730,109) -> Matrix(1,0,-2,1) Matrix(501,68,862,117) -> Matrix(1,0,0,1) Matrix(1927,254,1358,179) -> Matrix(1,-2,0,1) Matrix(923,118,1494,191) -> Matrix(1,0,0,1) Matrix(211,26,284,35) -> Matrix(3,-2,2,-1) Matrix(2523,292,1754,203) -> Matrix(3,2,-2,-1) Matrix(209,24,1402,161) -> Matrix(1,0,6,1) Matrix(347,38,210,23) -> Matrix(1,0,0,1) Matrix(1991,192,1234,119) -> Matrix(1,0,0,1) Matrix(469,34,400,29) -> Matrix(1,0,-2,1) Matrix(393,-40,226,-23) -> Matrix(3,-2,2,-1) Matrix(775,-92,278,-33) -> Matrix(1,0,0,1) Matrix(2139,-278,1208,-157) -> Matrix(1,0,-2,1) Matrix(327,-44,602,-81) -> Matrix(3,-4,4,-5) Matrix(217,-32,1458,-215) -> Matrix(1,0,8,1) Matrix(2047,-308,432,-65) -> Matrix(1,0,-2,1) Matrix(431,-66,1182,-181) -> Matrix(1,0,0,1) Matrix(591,-92,1394,-217) -> Matrix(1,0,0,1) Matrix(4121,-714,2326,-403) -> Matrix(1,0,-2,1) Matrix(2111,-368,740,-129) -> Matrix(1,0,-8,1) Matrix(3481,-610,1478,-259) -> Matrix(7,-2,4,-1) Matrix(473,-84,580,-103) -> Matrix(7,-4,2,-1) Matrix(523,-96,158,-29) -> Matrix(1,0,0,1) Matrix(939,-178,364,-69) -> Matrix(5,-4,4,-3) Matrix(821,-172,358,-75) -> Matrix(1,0,2,1) Matrix(2047,-432,308,-65) -> Matrix(1,8,0,1) Matrix(2199,-466,1024,-217) -> Matrix(1,2,4,9) Matrix(1173,-254,254,-55) -> Matrix(1,0,-2,1) Matrix(559,-122,866,-189) -> Matrix(1,0,0,1) Matrix(303,-68,254,-57) -> Matrix(1,0,-2,1) Matrix(253,-58,554,-127) -> Matrix(1,-2,0,1) Matrix(2311,-540,1408,-329) -> Matrix(1,-2,2,-3) Matrix(953,-226,350,-83) -> Matrix(1,0,2,1) Matrix(1919,-498,3102,-805) -> Matrix(1,0,-4,1) Matrix(1327,-348,3634,-953) -> Matrix(1,0,0,1) Matrix(931,-246,246,-65) -> Matrix(1,0,-2,1) Matrix(1125,-302,488,-131) -> Matrix(5,-2,8,-3) Matrix(1661,-448,634,-171) -> Matrix(3,-2,2,-1) Matrix(437,-120,244,-67) -> Matrix(3,-2,2,-1) Matrix(437,-122,1114,-311) -> Matrix(1,0,0,1) Matrix(727,-204,1258,-353) -> Matrix(3,-2,2,-1) Matrix(337,-98,1152,-335) -> Matrix(15,-14,14,-13) Matrix(3923,-1160,1532,-453) -> Matrix(1,-2,2,-3) Matrix(3489,-1036,2152,-639) -> Matrix(1,-2,6,-11) Matrix(4299,-1280,6116,-1821) -> Matrix(1,-2,2,-3) Matrix(669,-200,572,-171) -> Matrix(1,-2,0,1) Matrix(523,-158,96,-29) -> Matrix(3,-2,2,-1) Matrix(2185,-666,666,-203) -> Matrix(1,-2,2,-3) Matrix(2753,-842,1710,-523) -> Matrix(1,-2,4,-7) Matrix(1701,-530,1088,-339) -> Matrix(1,-2,-4,9) Matrix(661,-208,518,-163) -> Matrix(1,-2,2,-3) Matrix(369,-128,1058,-367) -> Matrix(1,0,16,1) Matrix(2111,-740,368,-129) -> Matrix(15,-2,8,-1) Matrix(3715,-1306,3166,-1113) -> Matrix(1,0,-6,1) Matrix(1465,-518,642,-227) -> Matrix(1,0,-2,1) Matrix(2011,-716,778,-277) -> Matrix(7,-2,4,-1) Matrix(685,-246,866,-311) -> Matrix(1,2,0,1) Matrix(365,-132,318,-115) -> Matrix(1,0,-4,1) Matrix(4859,-1776,3450,-1261) -> Matrix(5,-2,-2,1) Matrix(4175,-1528,5992,-2193) -> Matrix(5,-2,-2,1) Matrix(4811,-1762,3312,-1213) -> Matrix(1,0,-2,1) Matrix(953,-350,226,-83) -> Matrix(1,0,-2,1) Matrix(317,-118,180,-67) -> Matrix(1,0,-2,1) Matrix(1305,-494,494,-187) -> Matrix(15,-8,2,-1) Matrix(763,-290,1034,-393) -> Matrix(17,-10,12,-7) Matrix(1661,-634,448,-171) -> Matrix(7,-4,2,-1) Matrix(5875,-2248,2062,-789) -> Matrix(3,-2,-10,7) Matrix(5559,-2128,1570,-601) -> Matrix(7,-4,2,-1) Matrix(4123,-1580,1704,-653) -> Matrix(13,-8,18,-11) Matrix(2549,-984,1790,-691) -> Matrix(19,-14,-4,3) Matrix(2011,-778,716,-277) -> Matrix(5,-4,-6,5) Matrix(939,-364,178,-69) -> Matrix(9,-8,8,-7) Matrix(893,-348,1650,-643) -> Matrix(1,-2,2,-3) Matrix(3923,-1532,1160,-453) -> Matrix(3,-4,4,-5) Matrix(397,-162,968,-395) -> Matrix(19,-18,18,-17) Matrix(2327,-960,526,-217) -> Matrix(3,-4,4,-5) Matrix(4123,-1704,1580,-653) -> Matrix(11,-14,4,-5) Matrix(3813,-1580,2324,-963) -> Matrix(7,-10,12,-17) Matrix(1837,-768,830,-347) -> Matrix(1,-2,4,-7) Matrix(2273,-952,4238,-1775) -> Matrix(3,-4,4,-5) Matrix(4061,-1704,1704,-715) -> Matrix(1,-2,4,-7) Matrix(3579,-1504,2620,-1101) -> Matrix(1,0,0,1) Matrix(4709,-1986,6760,-2851) -> Matrix(1,-6,0,1) Matrix(24287,-10248,6714,-2833) -> Matrix(1,-18,0,1) Matrix(12773,-5392,3532,-1491) -> Matrix(1,10,0,1) Matrix(3399,-1436,2180,-921) -> Matrix(1,2,-4,-7) Matrix(4051,-1716,6924,-2933) -> Matrix(1,0,-4,1) Matrix(3481,-1478,610,-259) -> Matrix(5,-4,4,-3) Matrix(609,-260,260,-111) -> Matrix(1,-2,2,-3) Matrix(1125,-488,302,-131) -> Matrix(1,0,0,1) Matrix(821,-358,172,-75) -> Matrix(1,-2,2,-3) Matrix(1465,-642,518,-227) -> Matrix(1,-2,-2,5) Matrix(3101,-1362,4524,-1987) -> Matrix(1,-2,0,1) Matrix(1075,-474,474,-209) -> Matrix(1,-4,2,-7) Matrix(557,-250,684,-307) -> Matrix(1,2,0,1) Matrix(1837,-830,768,-347) -> Matrix(1,-4,2,-7) Matrix(3981,-1846,1102,-511) -> Matrix(5,2,2,1) Matrix(2199,-1024,466,-217) -> Matrix(1,0,2,1) Matrix(589,-278,464,-219) -> Matrix(1,0,6,1) Matrix(447,-236,608,-321) -> Matrix(5,-4,4,-3) Matrix(6293,-3378,1332,-715) -> Matrix(3,-2,2,-1) Matrix(3221,-1740,1368,-739) -> Matrix(7,-6,6,-5) Matrix(441,-242,800,-439) -> Matrix(23,-22,22,-21) Matrix(437,-244,120,-67) -> Matrix(1,-2,2,-3) Matrix(317,-180,118,-67) -> Matrix(1,-2,0,1) Matrix(393,-226,40,-23) -> Matrix(3,-2,2,-1) Matrix(4013,-2312,6962,-4011) -> Matrix(13,-12,12,-11) Matrix(12733,-7354,4874,-2815) -> Matrix(1,2,0,1) Matrix(1021,-592,902,-523) -> Matrix(1,-2,0,1) Matrix(7683,-4468,2980,-1733) -> Matrix(7,-6,6,-5) Matrix(1291,-754,940,-549) -> Matrix(1,4,0,1) Matrix(5155,-3028,1602,-941) -> Matrix(1,-2,2,-3) Matrix(195,-116,116,-69) -> Matrix(1,-2,2,-3) Matrix(1467,-890,2006,-1217) -> Matrix(5,-4,4,-3) Matrix(1697,-1032,1156,-703) -> Matrix(1,-2,0,1) Matrix(2311,-1408,540,-329) -> Matrix(1,-2,0,1) Matrix(3157,-1926,1926,-1175) -> Matrix(1,-8,2,-15) Matrix(653,-400,462,-283) -> Matrix(1,0,0,1) Matrix(3489,-2152,1036,-639) -> Matrix(5,4,6,5) Matrix(5405,-3336,3336,-2059) -> Matrix(1,0,8,1) Matrix(18469,-11414,11228,-6939) -> Matrix(1,0,2,1) Matrix(21305,-13168,13602,-8407) -> Matrix(1,0,-4,1) Matrix(8161,-5046,5976,-3695) -> Matrix(1,2,0,1) Matrix(21797,-13482,9576,-5923) -> Matrix(3,2,4,3) Matrix(2753,-1710,842,-523) -> Matrix(1,-2,2,-3) Matrix(457,-288,722,-455) -> Matrix(1,0,4,1) Matrix(7341,-4688,4502,-2875) -> Matrix(3,-2,8,-5) Matrix(1701,-1088,530,-339) -> Matrix(1,-2,2,-3) Matrix(2797,-1792,2040,-1307) -> Matrix(7,-4,2,-1) Matrix(3399,-2180,1436,-921) -> Matrix(1,0,0,1) Matrix(10747,-6924,6862,-4421) -> Matrix(1,0,-8,1) Matrix(791,-510,76,-49) -> Matrix(3,-2,2,-1) Matrix(1957,-1268,338,-219) -> Matrix(7,-2,4,-1) Matrix(2143,-1392,1578,-1025) -> Matrix(1,0,-2,1) Matrix(639,-416,788,-513) -> Matrix(7,-4,2,-1) Matrix(773,-528,590,-403) -> Matrix(1,0,0,1) Matrix(4379,-3000,1140,-781) -> Matrix(1,-2,0,1) Matrix(1875,-1288,1102,-757) -> Matrix(3,-2,2,-1) Matrix(4811,-3312,1762,-1213) -> Matrix(1,0,0,1) Matrix(8075,-5564,3084,-2125) -> Matrix(1,0,-2,1) Matrix(3515,-2438,2562,-1777) -> Matrix(1,2,0,1) Matrix(4941,-3430,1756,-1219) -> Matrix(1,-2,-2,5) Matrix(2633,-1830,3256,-2263) -> Matrix(1,0,0,1) Matrix(2549,-1790,984,-691) -> Matrix(3,-2,2,-1) Matrix(11175,-7858,3022,-2125) -> Matrix(1,2,0,1) Matrix(11029,-7758,2984,-2099) -> Matrix(7,-2,4,-1) Matrix(653,-462,400,-283) -> Matrix(3,-2,8,-5) Matrix(469,-338,648,-467) -> Matrix(21,-20,20,-19) Matrix(2797,-2040,1792,-1307) -> Matrix(5,-6,-24,29) Matrix(1755,-1282,538,-393) -> Matrix(5,-6,6,-7) Matrix(3579,-2620,1504,-1101) -> Matrix(3,-4,4,-5) Matrix(5359,-3942,1214,-893) -> Matrix(1,-2,2,-3) Matrix(2143,-1578,1392,-1025) -> Matrix(3,-4,-8,11) Matrix(1141,-844,534,-395) -> Matrix(1,-2,8,-15) Matrix(773,-590,528,-403) -> Matrix(1,-2,0,1) Matrix(2177,-1668,1544,-1183) -> Matrix(1,-2,0,1) Matrix(315,-244,244,-189) -> Matrix(3,-4,4,-5) Matrix(6439,-5032,2366,-1849) -> Matrix(1,-2,8,-15) Matrix(661,-518,208,-163) -> Matrix(3,-4,4,-5) Matrix(589,-464,278,-219) -> Matrix(1,-2,12,-23) Matrix(4265,-3362,5408,-4263) -> Matrix(77,-152,38,-75) Matrix(277,-220,34,-27) -> Matrix(1,-2,0,1) Matrix(4843,-3900,1854,-1493) -> Matrix(1,0,0,1) Matrix(477,-392,578,-475) -> Matrix(1,-16,0,1) Matrix(303,-254,68,-57) -> Matrix(1,2,0,1) Matrix(1811,-1538,670,-569) -> Matrix(1,0,0,1) Matrix(1809,-1540,1540,-1311) -> Matrix(1,0,-2,1) Matrix(669,-572,200,-171) -> Matrix(3,2,4,3) Matrix(365,-318,132,-115) -> Matrix(1,0,-2,1) Matrix(1021,-902,592,-523) -> Matrix(1,0,0,1) Matrix(423,-382,196,-177) -> Matrix(1,0,4,1) Matrix(535,-582,148,-161) -> Matrix(1,4,0,1) Matrix(1453,-1648,842,-955) -> Matrix(1,2,0,1) Matrix(7639,-8978,6498,-7637) -> Matrix(1,0,10,1) Matrix(1111,-1308,626,-737) -> Matrix(1,0,0,1) Matrix(965,-1142,398,-471) -> Matrix(3,2,4,3) Matrix(477,-578,392,-475) -> Matrix(1,0,12,1) Matrix(473,-580,84,-103) -> Matrix(7,-2,4,-1) Matrix(639,-788,416,-513) -> Matrix(1,0,-4,1) Matrix(2633,-3256,1830,-2263) -> Matrix(1,-2,0,1) Matrix(387,-482,110,-137) -> Matrix(3,-2,2,-1) Matrix(685,-866,246,-311) -> Matrix(1,0,0,1) Matrix(4265,-5408,3362,-4263) -> Matrix(1,0,20,1) Matrix(4315,-5482,1638,-2081) -> Matrix(7,-2,4,-1) Matrix(845,-1078,272,-347) -> Matrix(3,-2,8,-5) Matrix(2503,-3202,598,-765) -> Matrix(1,0,-2,1) Matrix(1891,-2450,1458,-1889) -> Matrix(17,-16,16,-15) Matrix(1883,-2458,1156,-1509) -> Matrix(1,0,2,1) Matrix(1851,-2428,1126,-1477) -> Matrix(1,-2,2,-3) Matrix(763,-1034,290,-393) -> Matrix(1,0,0,1) Matrix(11119,-15106,2892,-3929) -> Matrix(1,0,-2,1) Matrix(11513,-15644,2996,-4071) -> Matrix(1,-2,0,1) Matrix(5597,-7608,1656,-2251) -> Matrix(5,-6,6,-7) Matrix(447,-608,236,-321) -> Matrix(1,-2,0,1) Matrix(1467,-2006,890,-1217) -> Matrix(1,-2,0,1) Matrix(2485,-3404,1544,-2115) -> Matrix(1,-4,4,-15) Matrix(469,-648,338,-467) -> Matrix(1,-16,0,1) Matrix(2421,-3406,1546,-2175) -> Matrix(1,2,-6,-11) Matrix(7673,-10804,2806,-3951) -> Matrix(1,2,0,1) Matrix(10855,-15432,4148,-5897) -> Matrix(1,-18,0,1) Matrix(9241,-13142,3532,-5023) -> Matrix(1,24,0,1) Matrix(4299,-6116,1280,-1821) -> Matrix(3,26,4,35) Matrix(4175,-5992,1528,-2193) -> Matrix(1,2,0,1) Matrix(4471,-6440,1728,-2489) -> Matrix(3,4,2,3) Matrix(2387,-3442,1396,-2013) -> Matrix(1,2,0,1) Matrix(2049,-2974,556,-807) -> Matrix(1,2,0,1) Matrix(2271,-3310,706,-1029) -> Matrix(3,2,4,3) Matrix(3101,-4524,1362,-1987) -> Matrix(1,0,2,1) Matrix(4139,-6092,2558,-3765) -> Matrix(1,2,2,5) Matrix(16887,-26018,7418,-11429) -> Matrix(1,0,4,1) Matrix(17273,-26622,7588,-11695) -> Matrix(13,4,16,5) Matrix(2853,-4400,1610,-2483) -> Matrix(1,0,4,1) Matrix(559,-866,122,-189) -> Matrix(1,0,2,1) Matrix(2857,-4460,1670,-2607) -> Matrix(1,0,6,1) Matrix(4569,-7148,2684,-4199) -> Matrix(9,2,4,1) Matrix(457,-722,288,-455) -> Matrix(1,0,28,1) Matrix(1919,-3102,498,-805) -> Matrix(1,0,-4,1) Matrix(3885,-6284,1634,-2643) -> Matrix(1,0,-2,1) Matrix(10373,-16782,2274,-3679) -> Matrix(1,0,-6,1) Matrix(16331,-26450,10082,-16329) -> Matrix(1,0,18,1) Matrix(4233,-6866,1844,-2991) -> Matrix(7,-2,18,-5) Matrix(4903,-7992,1792,-2921) -> Matrix(1,0,-2,1) Matrix(4831,-7880,1060,-1729) -> Matrix(1,0,-4,1) Matrix(1551,-2540,494,-809) -> Matrix(21,-10,40,-19) Matrix(2867,-4698,916,-1501) -> Matrix(31,-16,64,-33) Matrix(1795,-3042,1058,-1793) -> Matrix(15,-14,14,-13) Matrix(2037,-3482,320,-547) -> Matrix(3,-2,2,-1) Matrix(2029,-3488,388,-667) -> Matrix(15,-14,14,-13) Matrix(9169,-15818,2798,-4827) -> Matrix(3,-2,2,-1) Matrix(727,-1258,204,-353) -> Matrix(1,0,0,1) Matrix(4013,-6962,2312,-4011) -> Matrix(7,-6,6,-5) Matrix(407,-710,90,-157) -> Matrix(1,-2,0,1) Matrix(2369,-4202,358,-635) -> Matrix(1,6,0,1) Matrix(2363,-4210,490,-873) -> Matrix(1,0,0,1) Matrix(2161,-3854,1002,-1787) -> Matrix(1,0,4,1) Matrix(441,-800,242,-439) -> Matrix(1,-4,0,1) Matrix(327,-602,44,-81) -> Matrix(1,0,0,1) Matrix(893,-1650,348,-643) -> Matrix(1,2,0,1) Matrix(2273,-4238,952,-1775) -> Matrix(1,2,2,5) Matrix(3759,-8084,1574,-3385) -> Matrix(7,-2,18,-5) Matrix(253,-554,58,-127) -> Matrix(1,0,-2,1) Matrix(1855,-4098,502,-1109) -> Matrix(7,-2,4,-1) Matrix(211,-472,38,-85) -> Matrix(7,-2,4,-1) Matrix(1635,-3698,722,-1633) -> Matrix(21,-10,40,-19) Matrix(4081,-9374,1128,-2591) -> Matrix(13,-6,-2,1) Matrix(731,-1688,262,-605) -> Matrix(3,-2,2,-1) Matrix(6439,-15138,2738,-6437) -> Matrix(25,-24,24,-23) Matrix(591,-1394,92,-217) -> Matrix(1,2,0,1) Matrix(3901,-9242,810,-1919) -> Matrix(3,-2,2,-1) Matrix(3183,-7544,662,-1569) -> Matrix(1,-2,2,-3) Matrix(2813,-6672,1030,-2443) -> Matrix(1,0,0,1) Matrix(14411,-34322,6050,-14409) -> Matrix(1,0,14,1) Matrix(20057,-47894,4246,-10139) -> Matrix(5,-2,8,-3) Matrix(4261,-10184,1628,-3891) -> Matrix(13,-6,-2,1) Matrix(853,-2060,200,-483) -> Matrix(3,-2,2,-1) Matrix(3061,-7416,906,-2195) -> Matrix(1,-2,2,-3) Matrix(397,-968,162,-395) -> Matrix(9,-8,8,-7) Matrix(437,-1114,122,-311) -> Matrix(1,0,0,1) Matrix(2073,-5306,470,-1203) -> Matrix(1,0,0,1) Matrix(1583,-4060,278,-713) -> Matrix(1,0,0,1) Matrix(3485,-8978,1352,-3483) -> Matrix(11,-10,10,-9) Matrix(4529,-11714,1608,-4159) -> Matrix(1,-2,0,1) Matrix(7587,-19816,2146,-5605) -> Matrix(1,-2,0,1) Matrix(2059,-5382,360,-941) -> Matrix(3,-14,2,-9) Matrix(463,-1212,34,-89) -> Matrix(1,4,0,1) Matrix(1531,-4050,578,-1529) -> Matrix(1,-22,0,1) Matrix(2611,-7062,552,-1493) -> Matrix(1,0,2,1) Matrix(1639,-4438,284,-769) -> Matrix(1,2,0,1) Matrix(769,-2084,100,-271) -> Matrix(1,0,0,1) Matrix(3401,-9248,1250,-3399) -> Matrix(1,0,12,1) Matrix(10923,-29872,3088,-8445) -> Matrix(3,-2,2,-1) Matrix(13147,-35958,3718,-10169) -> Matrix(1,0,0,1) Matrix(431,-1182,66,-181) -> Matrix(1,4,0,1) Matrix(22719,-63958,4810,-13541) -> Matrix(1,0,6,1) Matrix(17191,-48404,3640,-10249) -> Matrix(1,0,0,1) Matrix(2435,-6926,726,-2065) -> Matrix(11,2,16,3) Matrix(369,-1058,128,-367) -> Matrix(1,0,18,1) Matrix(5511,-18050,1682,-5509) -> Matrix(9,-8,8,-7) Matrix(823,-2774,170,-573) -> Matrix(5,-4,4,-3) Matrix(337,-1152,98,-335) -> Matrix(21,-20,20,-19) Matrix(1983,-7318,436,-1609) -> Matrix(1,-2,0,1) Matrix(223,-832,26,-97) -> Matrix(1,-2,2,-3) Matrix(1275,-4802,338,-1273) -> Matrix(1,-6,0,1) Matrix(593,-2260,90,-343) -> Matrix(1,4,0,1) Matrix(301,-1250,72,-299) -> Matrix(1,-2,0,1) Matrix(1123,-5202,242,-1121) -> Matrix(1,0,14,1) Matrix(261,-1352,50,-259) -> Matrix(21,-20,20,-19) Matrix(217,-1458,32,-215) -> Matrix(1,-22,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 112 Degree of the the map X: 112 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. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. ----------------------------------------------------------------------- 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 -1/1 0/1 1 1 0/1 (0/1,1/1) 0 31 1/9 (1/1,1/0) 0 31 1/8 1/0 1 31 2/15 (2/3,1/1) 0 31 1/7 (0/1,1/0) 0 31 4/27 0/1 4 1 3/20 1/4 1 31 5/33 (1/3,1/2) 0 31 2/13 (1/3,1/2) 0 31 3/19 (1/3,1/2) 0 31 1/6 1/0 1 31 4/23 (0/1,1/1) 0 31 7/40 1/4 1 31 3/17 (2/5,1/2) 0 31 2/11 (1/2,2/3) 0 31 3/16 1/2 1 31 1/5 (1/1,1/0) 0 31 4/19 (1/1,1/0) 0 31 3/14 -1/2 1 31 5/23 (0/1,1/2) 0 31 2/9 (0/1,1/0) 0 31 5/22 1/2 1 31 3/13 (-2/1,1/0) 0 31 4/17 (-1/1,0/1) 0 31 1/4 1/2 1 31 6/23 (1/3,1/2) 0 31 5/19 (1/3,1/2) 0 31 4/15 (1/2,1/1) 0 31 7/26 1/2 1 31 3/11 (1/2,1/1) 0 31 5/18 3/4 1 31 7/25 (1/2,1/1) 0 31 2/7 (2/3,1/1) 0 31 7/24 1/1 7 1 5/17 (1/1,5/4) 0 31 8/27 (1/1,4/3) 0 31 11/37 (1/1,1/0) 0 31 14/47 (1/1,2/1) 0 31 3/10 1/0 1 31 7/23 (1/1,1/0) 0 31 11/36 3/2 1 31 4/13 (1/1,2/1) 0 31 5/16 1/0 1 31 1/3 (0/1,1/0) 0 31 8/23 0/1 8 1 7/20 1/8 1 31 13/37 (1/5,1/4) 0 31 6/17 (1/5,1/4) 0 31 11/31 (0/1,1/2) 0 31 5/14 1/2 1 31 9/25 (0/1,1/6) 0 31 4/11 (1/3,1/2) 0 31 19/52 1/4 1 31 15/41 (1/3,1/2) 0 31 26/71 (2/3,1/1) 0 31 11/30 1/2 1 31 7/19 (0/1,1/2) 0 31 3/8 1/2 1 31 11/29 (1/2,5/9) 0 31 8/21 (1/2,3/5) 0 31 13/34 1/2 1 31 31/81 (1/2,1/1) 0 31 18/47 (3/5,2/3) 0 31 5/13 (2/3,3/4) 0 31 17/44 3/4 1 31 12/31 (5/6,1/1) 0 31 7/18 1/0 1 31 16/41 (1/1,1/0) 0 31 9/23 (1/2,1/1) 0 31 2/5 (2/3,1/1) 0 31 9/22 1/1 9 1 7/17 (1/1,7/6) 0 31 19/46 5/4 1 31 12/29 (1/1,4/3) 0 31 5/12 3/2 1 31 18/43 (1/1,2/1) 0 31 13/31 (3/2,2/1) 0 31 21/50 5/2 1 31 8/19 (2/1,3/1) 0 31 27/64 1/0 1 31 46/109 1/0 14 1 19/45 (-5/1,1/0) 0 31 11/26 1/0 1 31 25/59 (1/3,1/2) 0 31 14/33 (1/3,1/2) 0 31 17/40 5/6 1 31 3/7 (1/1,1/0) 0 31 10/23 (1/1,1/0) 0 31 7/16 1/0 1 31 18/41 (2/1,3/1) 0 31 11/25 (2/1,1/0) 0 31 4/9 (0/1,1/0) 0 31 9/20 1/0 1 31 5/11 (-4/1,1/0) 0 31 6/13 (-1/1,1/0) 0 31 13/28 -1/2 1 31 7/15 (-1/1,-1/2) 0 31 1/2 1/2 1 31 8/15 (1/2,3/5) 0 31 7/13 (2/3,3/4) 0 31 20/37 (1/2,1/1) 0 31 13/24 1/2 1 31 6/11 (6/7,1/1) 0 31 11/20 1/1 11 1 5/9 (1/1,5/4) 0 31 9/16 3/2 1 31 4/7 (0/1,1/0) 0 31 19/33 (3/4,1/1) 0 31 34/59 1/1 6 1 15/26 3/2 1 31 26/45 (0/1,1/1) 0 31 11/19 (1/1,1/0) 0 31 18/31 (2/1,1/0) 0 31 7/12 1/0 1 31 17/29 (0/1,1/2) 0 31 10/17 (2/3,1/1) 0 31 3/5 (2/1,1/0) 0 31 17/28 1/0 1 31 14/23 (1/1,2/1) 0 31 25/41 (4/1,1/0) 0 31 11/18 1/0 1 31 8/13 (-1/1,0/1) 0 31 29/47 (-1/2,-1/3) 0 31 21/34 1/2 1 31 34/55 (0/1,1/1) 0 31 47/76 1/0 1 31 13/21 (-1/2,0/1) 0 31 18/29 (1/2,1/1) 0 31 5/8 1/0 1 31 12/19 0/1 2 1 7/11 (0/1,1/2) 0 31 23/36 1/2 1 31 16/25 (0/1,1/1) 0 31 25/39 (1/2,1/1) 0 31 9/14 1/0 1 31 29/45 (1/2,1/1) 0 31 20/31 (0/1,1/0) 0 31 11/17 (0/1,1/2) 0 31 24/37 (0/1,1/3) 0 31 13/20 1/2 1 31 2/3 (1/2,1/1) 0 31 13/19 (1/1,1/0) 0 31 24/35 (0/1,1/1) 0 31 11/16 1/0 1 31 9/13 (1/1,3/2) 0 31 34/49 (1/1,2/1) 0 31 25/36 1/0 1 31 41/59 (3/1,1/0) 0 31 16/23 (-1/1,1/0) 0 31 7/10 1/2 1 31 26/37 (0/1,1/1) 0 31 45/64 1/0 1 31 64/91 0/1 2 1 19/27 (0/1,1/2) 0 31 12/17 (1/3,1/2) 0 31 5/7 (3/4,1/1) 0 31 13/18 1/1 10 1 8/11 (1/1,7/6) 0 31 27/37 (5/4,9/7) 0 31 19/26 5/4 1 31 30/41 (9/7,4/3) 0 31 11/15 (4/3,3/2) 0 31 25/34 3/2 1 31 39/53 (1/1,3/2) 0 31 14/19 (1/1,3/2) 0 31 17/23 (3/2,5/3) 0 31 3/4 1/0 1 31 13/17 (1/1,1/0) 0 31 10/13 (1/2,1/1) 0 31 7/9 (4/3,3/2) 0 31 18/23 (1/1,2/1) 0 31 11/14 7/4 1 31 26/33 (25/13,2/1) 0 31 41/52 2/1 19 1 15/19 (2/1,13/6) 0 31 19/24 5/2 1 31 4/5 (2/1,3/1) 0 31 21/26 1/0 1 31 17/21 (3/1,1/0) 0 31 13/16 1/0 1 31 22/27 (2/1,1/0) 0 31 9/11 (6/1,1/0) 0 31 14/17 1/0 8 1 5/6 1/0 1 31 11/13 (-1/1,-1/2) 0 31 17/20 -1/2 1 31 23/27 (1/1,1/0) 0 31 6/7 (-1/2,0/1) 0 31 7/8 1/2 1 31 8/9 (0/1,1/1) 0 31 1/1 (1/1,1/0) 0 31 9/8 1/0 1 31 8/7 (-1/1,-1/2) 0 31 7/6 1/0 1 31 34/29 (-1/1,0/1) 0 31 27/23 (-1/1,-1/2) 0 31 47/40 -1/4 1 31 67/57 0/1 5 1 20/17 (0/1,1/1) 0 31 13/11 (-1/1,1/0) 0 31 19/16 1/0 1 31 6/5 (-1/2,0/1) 0 31 17/14 0/1 6 1 11/9 (0/1,1/4) 0 31 16/13 (1/2,1/1) 0 31 21/17 (1/2,1/1) 0 31 26/21 (1/2,1/1) 0 31 5/4 1/0 1 31 19/15 (-1/2,0/1) 0 31 52/41 0/1 10 1 33/26 1/8 1 31 47/37 (1/5,1/4) 0 31 14/11 (0/1,1/3) 0 31 37/29 (1/2,2/3) 0 31 23/18 1/2 1 31 9/7 (0/1,1/2) 0 31 22/17 (5/6,1/1) 0 31 35/27 1/1 8 1 13/10 3/2 1 31 17/13 (1/1,1/0) 0 31 4/3 (1/1,2/1) 0 31 19/14 1/0 1 31 72/53 (0/1,1/1) 0 31 125/92 1/1 1 1 53/39 (1/1,1/0) 0 31 34/25 (1/1,2/1) 0 31 15/11 (2/1,1/0) 0 31 56/41 (2/1,3/1) 0 31 41/30 5/2 1 31 26/19 (3/1,4/1) 0 31 37/27 (3/1,1/0) 0 31 48/35 (3/1,4/1) 0 31 11/8 1/0 1 31 18/13 1/0 8 1 7/5 (-3/1,1/0) 0 31 38/27 (-2/1,-1/1) 0 31 69/49 (-1/1,1/0) 0 31 31/22 -3/2 1 31 24/17 (-1/1,0/1) 0 31 17/12 1/0 1 31 27/19 (4/1,1/0) 0 31 91/64 1/0 21 1 64/45 (-17/1,1/0) 0 31 37/26 1/0 1 31 10/7 (-3/1,-2/1) 0 31 23/16 1/0 1 31 59/41 (-3/2,-1/1) 0 31 36/25 (-2/1,-1/1) 0 31 49/34 -3/2 1 31 13/9 (-3/2,-1/1) 0 31 16/11 (-2/1,-1/1) 0 31 35/24 1/0 1 31 19/13 (-1/1,1/0) 0 31 3/2 -1/2 1 31 20/13 (-1/2,-1/3) 0 31 57/37 (-1/2,-1/3) 0 31 94/61 -1/3 2 1 37/24 -1/4 1 31 17/11 (-1/2,0/1) 0 31 14/9 (-1/2,-1/3) 0 31 39/25 (-1/4,-3/13) 0 31 64/41 (-1/5,-1/6) 0 31 25/16 -1/4 1 31 36/23 (-1/5,0/1) 0 31 11/7 (-1/8,0/1) 0 31 19/12 0/1 14 1 8/5 (0/1,1/6) 0 31 29/18 1/2 1 31 21/13 (0/1,1/4) 0 31 76/47 (0/1,1/3) 0 31 55/34 1/2 1 31 34/21 (0/1,1/1) 0 31 115/71 0/1 9 1 81/50 1/10 1 31 47/29 (1/6,1/5) 0 31 60/37 (1/5,2/9) 0 31 13/8 1/4 1 31 44/27 (1/3,2/5) 0 31 75/46 1/2 1 31 31/19 (1/4,1/3) 0 31 18/11 (3/7,1/2) 0 31 77/47 1/2 13 1 59/36 1/2 1 31 41/25 (1/2,4/7) 0 31 23/14 3/4 1 31 28/17 (1/1,2/1) 0 31 5/3 (0/1,1/2) 0 31 22/13 (4/5,1/1) 0 31 39/23 1/1 7 1 17/10 3/2 1 31 29/17 (4/1,1/0) 0 31 12/7 (1/1,1/0) 0 31 31/18 1/0 1 31 19/11 (1/1,1/0) 0 31 26/15 (0/1,1/1) 0 31 59/34 1/1 3 1 33/19 (1/1,3/2) 0 31 40/23 (1/1,2/1) 0 31 7/4 1/0 1 31 23/13 (0/1,1/0) 0 31 62/35 (-1/1,0/1) 0 31 39/22 1/0 1 31 55/31 (-1/1,1/0) 0 31 16/9 (0/1,1/1) 0 31 41/23 (1/1,1/0) 0 31 25/14 1/2 1 31 9/5 (1/1,1/0) 0 31 20/11 1/0 2 1 11/6 1/0 1 31 24/13 (-2/1,-1/1) 0 31 13/7 (0/1,1/0) 0 31 15/8 1/0 1 31 2/1 (-1/1,0/1) 0 31 17/8 1/8 1 31 15/7 (1/6,1/5) 0 31 28/13 (0/1,1/5) 0 31 13/6 1/4 1 31 11/5 (0/1,1/2) 0 31 20/9 (1/2,1/1) 0 31 9/4 1/2 1 31 43/19 1/2 5 1 34/15 (1/2,4/7) 0 31 25/11 (1/2,2/3) 0 31 41/18 1/2 1 31 16/7 (1/3,1/2) 0 31 39/17 (1/3,1/2) 0 31 62/27 (3/7,4/9) 0 31 23/10 1/2 1 31 30/13 (1/2,3/5) 0 31 7/3 (1/2,1/1) 0 31 47/20 7/8 1 31 87/37 1/1 12 1 40/17 (1/1,5/4) 0 31 73/31 (4/3,3/2) 0 31 33/14 1/0 1 31 26/11 (0/1,1/1) 0 31 45/19 (1/2,1/1) 0 31 109/46 1/1 2 1 64/27 (1/1,1/0) 0 31 19/8 1/0 1 31 69/29 (0/1,1/2) 0 31 50/21 (-1/1,0/1) 0 31 131/55 0/1 7 1 81/34 1/6 1 31 31/13 (0/1,1/2) 0 31 43/18 1/2 1 31 12/5 (2/3,1/1) 0 31 29/12 1/2 1 31 46/19 (2/3,1/1) 0 31 63/26 3/4 1 31 17/7 (3/4,1/1) 0 31 22/9 1/1 4 1 5/2 1/0 1 31 23/9 (1/1,1/0) 0 31 41/16 1/2 1 31 59/23 (2/1,1/0) 0 31 18/7 (0/1,1/1) 0 31 67/26 1/1 5 1 49/19 (1/1,5/4) 0 31 31/12 3/2 1 31 75/29 (3/2,2/1) 0 31 119/46 1/0 1 31 44/17 (1/1,2/1) 0 31 13/5 (2/1,1/0) 0 31 47/18 1/0 1 31 81/31 (3/1,7/2) 0 31 34/13 (7/1,1/0) 0 31 89/34 1/0 1 31 55/21 (1/1,1/0) 0 31 21/8 1/0 1 31 50/19 (1/1,2/1) 0 31 29/11 (3/1,1/0) 0 31 37/14 1/0 1 31 45/17 1/0 11 1 8/3 (-2/1,1/0) 0 31 27/10 -1/2 1 31 73/27 (-1/1,-1/2) 0 31 46/17 (-1/1,0/1) 0 31 65/24 1/0 1 31 19/7 (-1/2,0/1) 0 31 68/25 0/1 6 1 49/18 1/4 1 31 30/11 (0/1,1/1) 0 31 71/26 1/0 1 31 41/15 (1/1,1/0) 0 31 134/49 (0/1,1/1) 0 31 227/83 1/1 1 1 93/34 1/0 1 31 52/19 (1/1,2/1) 0 31 11/4 1/0 1 31 25/9 (-1/2,0/1) 0 31 39/14 1/0 1 31 53/19 (1/1,1/0) 0 31 14/5 (-1/1,1/0) 0 31 45/16 -1/2 1 31 76/27 (-1/3,0/1) 0 31 183/65 0/1 3 1 107/38 1/0 1 31 31/11 (-1/2,0/1) 0 31 17/6 -1/2 1 31 37/13 (-1/3,-1/4) 0 31 57/20 -1/4 1 31 20/7 (-1/7,0/1) 0 31 23/8 0/1 9 1 3/1 (0/1,1/2) 0 31 19/6 5/8 1 31 16/5 (2/3,1/1) 0 31 13/4 1/2 1 31 36/11 (3/4,1/1) 0 31 95/29 1/1 4 1 59/18 1/0 1 31 23/7 (1/2,1/1) 0 31 10/3 (1/2,2/3) 0 31 57/17 (5/7,3/4) 0 31 47/14 3/4 1 31 37/11 (3/4,7/9) 0 31 64/19 (4/5,1/1) 0 31 27/8 5/6 1 31 17/5 (7/8,1/1) 0 31 24/7 1/1 10 1 7/2 3/2 1 31 32/9 (0/1,1/1) 0 31 25/7 (1/1,1/0) 0 31 18/5 (1/1,3/2) 0 31 47/13 (5/1,1/0) 0 31 29/8 1/0 1 31 11/3 (1/1,3/2) 0 31 48/13 (1/1,2/1) 0 31 37/10 1/0 1 31 26/7 (1/1,1/0) 0 31 41/11 (1/1,1/0) 0 31 15/4 1/0 1 31 49/13 1/0 3 1 34/9 (-1/1,1/0) 0 31 19/5 (1/1,1/0) 0 31 23/6 1/0 1 31 4/1 (1/1,1/0) 0 31 25/6 1/0 1 1 21/5 (0/1,1/0) 0 31 17/4 1/0 1 31 13/3 (0/1,1/0) 0 31 22/5 (1/1,2/1) 0 31 53/12 1/0 1 31 31/7 (1/1,3/2) 0 31 9/2 1/0 1 31 50/11 (-1/1,0/1) 0 31 41/9 (-1/1,1/0) 0 31 32/7 (-1/1,1/0) 0 31 23/5 (0/1,1/0) 0 31 37/8 -1/4 1 31 51/11 0/1 7 1 14/3 (0/1,1/3) 0 31 19/4 1/2 1 31 24/5 (1/2,1/1) 0 31 29/6 1/2 1 31 5/1 (1/2,1/1) 0 31 26/5 1/1 10 1 21/4 9/8 1 31 16/3 (1/1,3/2) 0 31 11/2 3/2 1 31 28/5 (3/2,5/3) 0 31 17/3 (2/1,1/0) 0 31 57/10 1/2 1 31 40/7 (7/5,3/2) 0 31 63/11 (5/3,7/4) 0 31 23/4 1/0 1 31 6/1 (2/1,3/1) 0 31 19/3 (1/1,1/0) 0 31 32/5 (2/1,3/1) 0 31 13/2 1/0 1 31 33/5 (5/1,1/0) 0 31 20/3 (9/1,1/0) 0 31 27/4 1/0 11 1 7/1 (-2/1,1/0) 0 31 15/2 1/0 1 31 8/1 (0/1,1/1) 0 31 17/2 1/2 1 31 9/1 (1/2,1/1) 0 31 10/1 (3/2,2/1) 0 31 11/1 (1/1,1/0) 0 31 1/0 1/0 1 31 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,-1) (-1/1,1/0) -> (-1/1,1/0) Reflection Matrix(-1,0,2,1) (-1/1,0/1) -> (-1/1,0/1) Reflection Matrix(393,-40,226,-23) (0/1,1/9) -> (33/19,40/23) Hyperbolic Matrix(775,-92,278,-33) (1/9,1/8) -> (39/14,53/19) Hyperbolic Matrix(823,-108,602,-79) (1/8,2/15) -> (41/30,26/19) Glide Reflection Matrix(271,-38,164,-23) (2/15,1/7) -> (28/17,5/3) Glide Reflection Matrix(55,-8,378,-55) (1/7,4/27) -> (1/7,4/27) Reflection Matrix(161,-24,1080,-161) (4/27,3/20) -> (4/27,3/20) Reflection Matrix(1939,-292,1348,-203) (3/20,5/33) -> (23/16,59/41) Glide Reflection Matrix(1131,-172,914,-139) (5/33,2/13) -> (21/17,26/21) Glide Reflection Matrix(591,-92,1394,-217) (2/13,3/19) -> (25/59,14/33) Hyperbolic Matrix(159,-26,214,-35) (3/19,1/6) -> (17/23,3/4) Glide Reflection Matrix(687,-118,1112,-191) (1/6,4/23) -> (21/34,34/55) Glide Reflection Matrix(2111,-368,740,-129) (4/23,7/40) -> (57/20,20/7) Hyperbolic Matrix(3481,-610,1478,-259) (7/40,3/17) -> (73/31,33/14) Hyperbolic Matrix(473,-84,580,-103) (3/17,2/11) -> (22/27,9/11) Hyperbolic Matrix(365,-68,628,-117) (2/11,3/16) -> (18/31,7/12) Glide Reflection Matrix(939,-178,364,-69) (3/16,1/5) -> (49/19,31/12) Hyperbolic Matrix(821,-172,358,-75) (1/5,4/19) -> (16/7,39/17) Hyperbolic Matrix(357,-76,512,-109) (4/19,3/14) -> (16/23,7/10) Glide Reflection Matrix(1173,-254,254,-55) (3/14,5/23) -> (23/5,37/8) Hyperbolic Matrix(559,-122,866,-189) (5/23,2/9) -> (20/31,11/17) Hyperbolic Matrix(303,-68,254,-57) (2/9,5/22) -> (19/16,6/5) Hyperbolic Matrix(859,-196,504,-115) (5/22,3/13) -> (17/10,29/17) Glide Reflection Matrix(353,-82,452,-105) (3/13,4/17) -> (7/9,18/23) Glide Reflection Matrix(953,-226,350,-83) (4/17,1/4) -> (49/18,30/11) Hyperbolic Matrix(149,-38,98,-25) (1/4,6/23) -> (3/2,20/13) Glide Reflection Matrix(787,-206,638,-167) (6/23,5/19) -> (16/13,21/17) Glide Reflection Matrix(931,-246,246,-65) (5/19,4/15) -> (34/9,19/5) Hyperbolic Matrix(1125,-302,488,-131) (4/15,7/26) -> (23/10,30/13) Hyperbolic Matrix(1661,-448,634,-171) (7/26,3/11) -> (55/21,21/8) Hyperbolic Matrix(437,-120,244,-67) (3/11,5/18) -> (25/14,9/5) Hyperbolic Matrix(631,-176,484,-135) (5/18,7/25) -> (13/10,17/13) Glide Reflection Matrix(727,-204,1258,-353) (7/25,2/7) -> (26/45,11/19) Hyperbolic Matrix(97,-28,336,-97) (2/7,7/24) -> (2/7,7/24) Reflection Matrix(239,-70,816,-239) (7/24,5/17) -> (7/24,5/17) Reflection Matrix(623,-184,430,-127) (5/17,8/27) -> (13/9,16/11) Glide Reflection Matrix(3489,-1036,2152,-639) (8/27,11/37) -> (47/29,60/37) Hyperbolic Matrix(2293,-682,622,-185) (11/37,14/47) -> (11/3,48/13) Glide Reflection Matrix(669,-200,572,-171) (14/47,3/10) -> (7/6,34/29) Hyperbolic Matrix(903,-274,524,-159) (3/10,7/23) -> (31/18,19/11) Glide Reflection Matrix(2185,-666,666,-203) (7/23,11/36) -> (59/18,23/7) Hyperbolic Matrix(379,-116,428,-131) (11/36,4/13) -> (7/8,8/9) Glide Reflection Matrix(569,-176,236,-73) (4/13,5/16) -> (12/5,29/12) Glide Reflection Matrix(661,-208,518,-163) (5/16,1/3) -> (37/29,23/18) Hyperbolic Matrix(47,-16,138,-47) (1/3,8/23) -> (1/3,8/23) Reflection Matrix(321,-112,920,-321) (8/23,7/20) -> (8/23,7/20) Reflection Matrix(2111,-740,368,-129) (7/20,13/37) -> (63/11,23/4) Hyperbolic Matrix(1881,-662,412,-145) (13/37,6/17) -> (41/9,32/7) Glide Reflection Matrix(367,-130,686,-243) (6/17,11/31) -> (8/15,7/13) Glide Reflection Matrix(2011,-716,778,-277) (11/31,5/14) -> (31/12,75/29) Hyperbolic Matrix(685,-246,866,-311) (5/14,9/25) -> (15/19,19/24) Hyperbolic Matrix(593,-214,956,-345) (9/25,4/11) -> (13/21,18/29) Glide Reflection Matrix(1407,-514,1136,-415) (4/11,19/52) -> (26/21,5/4) Glide Reflection Matrix(4859,-1776,3450,-1261) (19/52,15/41) -> (69/49,31/22) Hyperbolic Matrix(5311,-1944,2314,-847) (15/41,26/71) -> (39/17,62/27) Glide Reflection Matrix(2723,-998,1678,-615) (26/71,11/30) -> (60/37,13/8) Glide Reflection Matrix(953,-350,226,-83) (11/30,7/19) -> (21/5,17/4) Hyperbolic Matrix(317,-118,180,-67) (7/19,3/8) -> (7/4,23/13) Hyperbolic Matrix(1305,-494,494,-187) (3/8,11/29) -> (29/11,37/14) Hyperbolic Matrix(763,-290,1034,-393) (11/29,8/21) -> (14/19,17/23) Hyperbolic Matrix(1661,-634,448,-171) (8/21,13/34) -> (37/10,26/7) Hyperbolic Matrix(5875,-2248,2062,-789) (13/34,31/81) -> (37/13,57/20) Hyperbolic Matrix(3407,-1304,2422,-927) (31/81,18/47) -> (7/5,38/27) Glide Reflection Matrix(985,-378,628,-241) (18/47,5/13) -> (36/23,11/7) Glide Reflection Matrix(1923,-742,806,-311) (5/13,17/44) -> (31/13,43/18) Glide Reflection Matrix(2011,-778,716,-277) (17/44,12/31) -> (14/5,45/16) Hyperbolic Matrix(939,-364,178,-69) (12/31,7/18) -> (21/4,16/3) Hyperbolic Matrix(893,-348,1650,-643) (7/18,16/41) -> (20/37,13/24) Hyperbolic Matrix(579,-226,848,-331) (16/41,9/23) -> (2/3,13/19) Glide Reflection Matrix(177,-70,134,-53) (9/23,2/5) -> (17/13,4/3) Glide Reflection Matrix(89,-36,220,-89) (2/5,9/22) -> (2/5,9/22) Reflection Matrix(307,-126,748,-307) (9/22,7/17) -> (9/22,7/17) Reflection Matrix(2327,-960,526,-217) (7/17,19/46) -> (53/12,31/7) Hyperbolic Matrix(1403,-580,2194,-907) (19/46,12/29) -> (23/36,16/25) Glide Reflection Matrix(569,-236,176,-73) (12/29,5/12) -> (16/5,13/4) Glide Reflection Matrix(613,-256,874,-365) (5/12,18/43) -> (7/10,26/37) Glide Reflection Matrix(1923,-806,742,-311) (18/43,13/31) -> (44/17,13/5) Glide Reflection Matrix(4061,-1704,1704,-715) (13/31,21/50) -> (81/34,31/13) Hyperbolic Matrix(3579,-1504,2620,-1101) (21/50,8/19) -> (56/41,41/30) Hyperbolic Matrix(4405,-1858,1918,-809) (8/19,27/64) -> (62/27,23/10) Glide Reflection Matrix(5887,-2484,13952,-5887) (27/64,46/109) -> (27/64,46/109) Reflection Matrix(4141,-1748,9810,-4141) (46/109,19/45) -> (46/109,19/45) Reflection Matrix(2527,-1068,698,-295) (19/45,11/26) -> (47/13,29/8) Glide Reflection Matrix(1393,-590,654,-277) (11/26,25/59) -> (17/8,15/7) Glide Reflection Matrix(3481,-1478,610,-259) (14/33,17/40) -> (57/10,40/7) Hyperbolic Matrix(609,-260,260,-111) (17/40,3/7) -> (7/3,47/20) Hyperbolic Matrix(1125,-488,302,-131) (3/7,10/23) -> (26/7,41/11) Hyperbolic Matrix(821,-358,172,-75) (10/23,7/16) -> (19/4,24/5) Hyperbolic Matrix(647,-284,344,-151) (7/16,18/41) -> (15/8,2/1) Glide Reflection Matrix(1465,-644,1076,-473) (18/41,11/25) -> (34/25,15/11) Glide Reflection Matrix(1075,-474,474,-209) (11/25,4/9) -> (34/15,25/11) Hyperbolic Matrix(557,-250,684,-307) (4/9,9/20) -> (13/16,22/27) Hyperbolic Matrix(727,-328,512,-231) (9/20,5/11) -> (17/12,27/19) Glide Reflection Matrix(509,-234,298,-137) (5/11,6/13) -> (29/17,12/7) Glide Reflection Matrix(2117,-982,1356,-629) (6/13,13/28) -> (64/41,25/16) Glide Reflection Matrix(1099,-512,762,-355) (13/28,7/15) -> (49/34,13/9) Glide Reflection Matrix(589,-278,464,-219) (7/15,1/2) -> (33/26,47/37) Hyperbolic Matrix(647,-344,284,-151) (1/2,8/15) -> (41/18,16/7) Glide Reflection Matrix(3221,-1740,1368,-739) (7/13,20/37) -> (40/17,73/31) Hyperbolic Matrix(925,-502,562,-305) (13/24,6/11) -> (23/14,28/17) Glide Reflection Matrix(241,-132,440,-241) (6/11,11/20) -> (6/11,11/20) Reflection Matrix(199,-110,360,-199) (11/20,5/9) -> (11/20,5/9) Reflection Matrix(437,-244,120,-67) (5/9,9/16) -> (29/8,11/3) Hyperbolic Matrix(317,-180,118,-67) (9/16,4/7) -> (8/3,27/10) Hyperbolic Matrix(393,-226,40,-23) (4/7,19/33) -> (9/1,10/1) Hyperbolic Matrix(2243,-1292,3894,-2243) (19/33,34/59) -> (19/33,34/59) Reflection Matrix(1769,-1020,3068,-1769) (34/59,15/26) -> (34/59,15/26) Reflection Matrix(1729,-998,1062,-613) (15/26,26/45) -> (13/8,44/27) Glide Reflection Matrix(903,-524,274,-159) (11/19,18/31) -> (23/7,10/3) Glide Reflection Matrix(509,-298,234,-137) (7/12,17/29) -> (13/6,11/5) Glide Reflection Matrix(859,-504,196,-115) (17/29,10/17) -> (13/3,22/5) Glide Reflection Matrix(195,-116,116,-69) (10/17,3/5) -> (5/3,22/13) Hyperbolic Matrix(271,-164,38,-23) (3/5,17/28) -> (7/1,15/2) Glide Reflection Matrix(925,-562,502,-305) (17/28,14/23) -> (11/6,24/13) Glide Reflection Matrix(1425,-868,1118,-681) (14/23,25/41) -> (14/11,37/29) Glide Reflection Matrix(3157,-1926,1926,-1175) (25/41,11/18) -> (59/36,41/25) Hyperbolic Matrix(653,-400,462,-283) (11/18,8/13) -> (24/17,17/12) Hyperbolic Matrix(3489,-2152,1036,-639) (8/13,29/47) -> (37/11,64/19) Hyperbolic Matrix(5405,-3336,3336,-2059) (29/47,21/34) -> (81/50,47/29) Hyperbolic Matrix(6857,-4240,3870,-2393) (34/55,47/76) -> (62/35,39/22) Glide Reflection Matrix(2069,-1280,1340,-829) (47/76,13/21) -> (37/24,17/11) Glide Reflection Matrix(267,-166,230,-143) (18/29,5/8) -> (8/7,7/6) Glide Reflection Matrix(191,-120,304,-191) (5/8,12/19) -> (5/8,12/19) Reflection Matrix(265,-168,418,-265) (12/19,7/11) -> (12/19,7/11) Reflection Matrix(985,-628,378,-241) (7/11,23/36) -> (13/5,47/18) Glide Reflection Matrix(2797,-1792,2040,-1307) (16/25,25/39) -> (37/27,48/35) Hyperbolic Matrix(1549,-994,868,-557) (25/39,9/14) -> (41/23,25/14) Glide Reflection Matrix(1283,-826,452,-291) (9/14,29/45) -> (17/6,37/13) Glide Reflection Matrix(791,-510,76,-49) (29/45,20/31) -> (10/1,11/1) Hyperbolic Matrix(2069,-1340,1280,-829) (11/17,24/37) -> (21/13,76/47) Glide Reflection Matrix(2143,-1392,1578,-1025) (24/37,13/20) -> (19/14,72/53) Hyperbolic Matrix(149,-98,38,-25) (13/20,2/3) -> (23/6,4/1) Glide Reflection Matrix(2501,-1714,1840,-1261) (13/19,24/35) -> (53/39,34/25) Glide Reflection Matrix(2941,-2018,1214,-833) (24/35,11/16) -> (46/19,63/26) Glide Reflection Matrix(623,-430,184,-127) (11/16,9/13) -> (27/8,17/5) Glide Reflection Matrix(1099,-762,512,-355) (9/13,34/49) -> (15/7,28/13) Glide Reflection Matrix(4941,-3430,1756,-1219) (34/49,25/36) -> (45/16,76/27) Hyperbolic Matrix(4281,-2974,2414,-1677) (25/36,41/59) -> (39/22,55/31) Glide Reflection Matrix(1939,-1348,292,-203) (41/59,16/23) -> (33/5,20/3) Glide Reflection Matrix(4441,-3122,1202,-845) (26/37,45/64) -> (48/13,37/10) Glide Reflection Matrix(8191,-5760,11648,-8191) (45/64,64/91) -> (45/64,64/91) Reflection Matrix(3457,-2432,4914,-3457) (64/91,19/27) -> (64/91,19/27) Reflection Matrix(727,-512,328,-231) (19/27,12/17) -> (11/5,20/9) Glide Reflection Matrix(653,-462,400,-283) (12/17,5/7) -> (31/19,18/11) Hyperbolic Matrix(181,-130,252,-181) (5/7,13/18) -> (5/7,13/18) Reflection Matrix(287,-208,396,-287) (13/18,8/11) -> (13/18,8/11) Reflection Matrix(2797,-2040,1792,-1307) (8/11,27/37) -> (39/25,64/41) Hyperbolic Matrix(359,-262,322,-235) (27/37,19/26) -> (1/1,9/8) Glide Reflection Matrix(823,-602,108,-79) (19/26,30/41) -> (15/2,8/1) Glide Reflection Matrix(3579,-2620,1504,-1101) (30/41,11/15) -> (69/29,50/21) Hyperbolic Matrix(1465,-1076,644,-473) (11/15,25/34) -> (25/11,41/18) Glide Reflection Matrix(2501,-1840,1714,-1261) (25/34,39/53) -> (35/24,19/13) Glide Reflection Matrix(2143,-1578,1392,-1025) (39/53,14/19) -> (20/13,57/37) Hyperbolic Matrix(177,-134,70,-53) (3/4,13/17) -> (5/2,23/9) Glide Reflection Matrix(631,-484,176,-135) (13/17,10/13) -> (25/7,18/5) Glide Reflection Matrix(315,-244,244,-189) (10/13,7/9) -> (9/7,22/17) Hyperbolic Matrix(661,-518,208,-163) (18/23,11/14) -> (19/6,16/5) Hyperbolic Matrix(589,-464,278,-219) (11/14,26/33) -> (2/1,17/8) Hyperbolic Matrix(2705,-2132,3432,-2705) (26/33,41/52) -> (26/33,41/52) Reflection Matrix(1559,-1230,1976,-1559) (41/52,15/19) -> (41/52,15/19) Reflection Matrix(277,-220,34,-27) (19/24,4/5) -> (8/1,17/2) Hyperbolic Matrix(1407,-1136,514,-415) (4/5,21/26) -> (52/19,11/4) Glide Reflection Matrix(1131,-914,172,-139) (21/26,17/21) -> (13/2,33/5) Glide Reflection Matrix(787,-638,206,-167) (17/21,13/16) -> (19/5,23/6) Glide Reflection Matrix(307,-252,374,-307) (9/11,14/17) -> (9/11,14/17) Reflection Matrix(169,-140,204,-169) (14/17,5/6) -> (14/17,5/6) Reflection Matrix(303,-254,68,-57) (5/6,11/13) -> (31/7,9/2) Hyperbolic Matrix(1811,-1538,670,-569) (11/13,17/20) -> (27/10,73/27) Hyperbolic Matrix(1809,-1540,1540,-1311) (17/20,23/27) -> (27/23,47/40) Hyperbolic Matrix(669,-572,200,-171) (23/27,6/7) -> (10/3,57/17) Hyperbolic Matrix(267,-230,166,-143) (6/7,7/8) -> (8/5,29/18) Glide Reflection Matrix(359,-322,262,-235) (8/9,1/1) -> (26/19,37/27) Glide Reflection Matrix(379,-428,116,-131) (9/8,8/7) -> (13/4,36/11) Glide Reflection Matrix(2339,-2744,514,-603) (34/29,27/23) -> (50/11,41/9) Glide Reflection Matrix(5359,-6298,4560,-5359) (47/40,67/57) -> (47/40,67/57) Reflection Matrix(2279,-2680,1938,-2279) (67/57,20/17) -> (67/57,20/17) Reflection Matrix(1111,-1308,626,-737) (20/17,13/11) -> (55/31,16/9) Hyperbolic Matrix(965,-1142,398,-471) (13/11,19/16) -> (63/26,17/7) Hyperbolic Matrix(169,-204,140,-169) (6/5,17/14) -> (6/5,17/14) Reflection Matrix(307,-374,252,-307) (17/14,11/9) -> (17/14,11/9) Reflection Matrix(473,-580,84,-103) (11/9,16/13) -> (28/5,17/3) Hyperbolic Matrix(685,-866,246,-311) (5/4,19/15) -> (25/9,39/14) Hyperbolic Matrix(1559,-1976,1230,-1559) (19/15,52/41) -> (19/15,52/41) Reflection Matrix(2705,-3432,2132,-2705) (52/41,33/26) -> (52/41,33/26) Reflection Matrix(1393,-1770,218,-277) (47/37,14/11) -> (19/3,32/5) Glide Reflection Matrix(353,-452,82,-105) (23/18,9/7) -> (17/4,13/3) Glide Reflection Matrix(1189,-1540,918,-1189) (22/17,35/27) -> (22/17,35/27) Reflection Matrix(701,-910,540,-701) (35/27,13/10) -> (35/27,13/10) Reflection Matrix(763,-1034,290,-393) (4/3,19/14) -> (21/8,50/19) Hyperbolic Matrix(13249,-18000,9752,-13249) (72/53,125/92) -> (72/53,125/92) Reflection Matrix(9751,-13250,7176,-9751) (125/92,53/39) -> (125/92,53/39) Reflection Matrix(1625,-2218,918,-1253) (15/11,56/41) -> (23/13,62/35) Glide Reflection Matrix(679,-932,314,-431) (48/35,11/8) -> (28/13,13/6) Glide Reflection Matrix(287,-396,208,-287) (11/8,18/13) -> (11/8,18/13) Reflection Matrix(181,-252,130,-181) (18/13,7/5) -> (18/13,7/5) Reflection Matrix(7673,-10804,2806,-3951) (38/27,69/49) -> (41/15,134/49) Hyperbolic Matrix(823,-1160,232,-327) (31/22,24/17) -> (7/2,32/9) Glide Reflection Matrix(3457,-4914,2432,-3457) (27/19,91/64) -> (27/19,91/64) Reflection Matrix(8191,-11648,5760,-8191) (91/64,64/45) -> (91/64,64/45) Reflection Matrix(4889,-6954,1868,-2657) (64/45,37/26) -> (34/13,89/34) Glide Reflection Matrix(613,-874,256,-365) (37/26,10/7) -> (43/18,12/5) Glide Reflection Matrix(357,-512,76,-109) (10/7,23/16) -> (14/3,19/4) Glide Reflection Matrix(3711,-5342,1372,-1975) (59/41,36/25) -> (73/27,46/17) Glide Reflection Matrix(4471,-6440,1728,-2489) (36/25,49/34) -> (119/46,44/17) Hyperbolic Matrix(1111,-1618,252,-367) (16/11,35/24) -> (22/5,53/12) Glide Reflection Matrix(579,-848,226,-331) (19/13,3/2) -> (23/9,41/16) Glide Reflection Matrix(6955,-10716,4514,-6955) (57/37,94/61) -> (57/37,94/61) Reflection Matrix(4513,-6956,2928,-4513) (94/61,37/24) -> (94/61,37/24) Reflection Matrix(559,-866,122,-189) (17/11,14/9) -> (32/7,23/5) Hyperbolic Matrix(873,-1360,242,-377) (14/9,39/25) -> (18/5,47/13) Glide Reflection Matrix(1403,-2194,580,-907) (25/16,36/23) -> (29/12,46/19) Glide Reflection Matrix(265,-418,168,-265) (11/7,19/12) -> (11/7,19/12) Reflection Matrix(191,-304,120,-191) (19/12,8/5) -> (19/12,8/5) Reflection Matrix(593,-956,214,-345) (29/18,21/13) -> (11/4,25/9) Glide Reflection Matrix(4619,-7470,1706,-2759) (76/47,55/34) -> (46/17,65/24) Glide Reflection Matrix(687,-1112,118,-191) (55/34,34/21) -> (23/4,6/1) Glide Reflection Matrix(4829,-7820,2982,-4829) (34/21,115/71) -> (34/21,115/71) Reflection Matrix(11501,-18630,7100,-11501) (115/71,81/50) -> (115/71,81/50) Reflection Matrix(4903,-7992,1792,-2921) (44/27,75/46) -> (93/34,52/19) Hyperbolic Matrix(4619,-7532,1768,-2883) (75/46,31/19) -> (47/18,81/31) Glide Reflection Matrix(1693,-2772,1034,-1693) (18/11,77/47) -> (18/11,77/47) Reflection Matrix(5545,-9086,3384,-5545) (77/47,59/36) -> (77/47,59/36) Reflection Matrix(517,-848,164,-269) (41/25,23/14) -> (3/1,19/6) Glide Reflection Matrix(1013,-1716,598,-1013) (22/13,39/23) -> (22/13,39/23) Reflection Matrix(781,-1326,460,-781) (39/23,17/10) -> (39/23,17/10) Reflection Matrix(365,-628,68,-117) (12/7,31/18) -> (16/3,11/2) Glide Reflection Matrix(727,-1258,204,-353) (19/11,26/15) -> (32/9,25/7) Hyperbolic Matrix(1769,-3068,1020,-1769) (26/15,59/34) -> (26/15,59/34) Reflection Matrix(2243,-3894,1292,-2243) (59/34,33/19) -> (59/34,33/19) Reflection Matrix(407,-710,90,-157) (40/23,7/4) -> (9/2,50/11) Hyperbolic Matrix(1003,-1786,424,-755) (16/9,41/23) -> (26/11,45/19) Glide Reflection Matrix(199,-360,110,-199) (9/5,20/11) -> (9/5,20/11) Reflection Matrix(241,-440,132,-241) (20/11,11/6) -> (20/11,11/6) Reflection Matrix(893,-1650,348,-643) (24/13,13/7) -> (59/23,18/7) Hyperbolic Matrix(367,-686,130,-243) (13/7,15/8) -> (31/11,17/6) Glide Reflection Matrix(211,-472,38,-85) (20/9,9/4) -> (11/2,28/5) Hyperbolic Matrix(343,-774,152,-343) (9/4,43/19) -> (9/4,43/19) Reflection Matrix(1291,-2924,570,-1291) (43/19,34/15) -> (43/19,34/15) Reflection Matrix(731,-1688,262,-605) (30/13,7/3) -> (53/19,14/5) Hyperbolic Matrix(3479,-8178,1480,-3479) (47/20,87/37) -> (47/20,87/37) Reflection Matrix(2959,-6960,1258,-2959) (87/37,40/17) -> (87/37,40/17) Reflection Matrix(591,-1394,92,-217) (33/14,26/11) -> (32/5,13/2) Hyperbolic Matrix(4141,-9810,1748,-4141) (45/19,109/46) -> (45/19,109/46) Reflection Matrix(5887,-13952,2484,-5887) (109/46,64/27) -> (109/46,64/27) Reflection Matrix(975,-2312,202,-479) (64/27,19/8) -> (24/5,29/6) Glide Reflection Matrix(2037,-4846,752,-1789) (19/8,69/29) -> (65/24,19/7) Glide Reflection Matrix(5501,-13100,2310,-5501) (50/21,131/55) -> (50/21,131/55) Reflection Matrix(8909,-21222,3740,-8909) (131/55,81/34) -> (131/55,81/34) Reflection Matrix(307,-748,126,-307) (17/7,22/9) -> (17/7,22/9) Reflection Matrix(89,-220,36,-89) (22/9,5/2) -> (22/9,5/2) Reflection Matrix(1583,-4060,278,-713) (41/16,59/23) -> (17/3,57/10) Hyperbolic Matrix(937,-2412,364,-937) (18/7,67/26) -> (18/7,67/26) Reflection Matrix(2547,-6566,988,-2547) (67/26,49/19) -> (67/26,49/19) Reflection Matrix(4529,-11714,1608,-4159) (75/29,119/46) -> (107/38,31/11) Hyperbolic Matrix(2059,-5382,360,-941) (81/31,34/13) -> (40/7,63/11) Hyperbolic Matrix(2245,-5878,668,-1749) (89/34,55/21) -> (47/14,37/11) Glide Reflection Matrix(427,-1124,68,-179) (50/19,29/11) -> (6/1,19/3) Glide Reflection Matrix(1259,-3330,476,-1259) (37/14,45/17) -> (37/14,45/17) Reflection Matrix(271,-720,102,-271) (45/17,8/3) -> (45/17,8/3) Reflection Matrix(951,-2584,350,-951) (19/7,68/25) -> (19/7,68/25) Reflection Matrix(2449,-6664,900,-2449) (68/25,49/18) -> (68/25,49/18) Reflection Matrix(1961,-5354,582,-1589) (30/11,71/26) -> (64/19,27/8) Glide Reflection Matrix(565,-1544,116,-317) (71/26,41/15) -> (29/6,5/1) Glide Reflection Matrix(22245,-60836,8134,-22245) (134/49,227/83) -> (134/49,227/83) Reflection Matrix(15437,-42222,5644,-15437) (227/83,93/34) -> (227/83,93/34) Reflection Matrix(9881,-27816,3510,-9881) (76/27,183/65) -> (76/27,183/65) Reflection Matrix(13909,-39162,4940,-13909) (183/65,107/38) -> (183/65,107/38) Reflection Matrix(321,-920,112,-321) (20/7,23/8) -> (20/7,23/8) Reflection Matrix(47,-138,16,-47) (23/8,3/1) -> (23/8,3/1) Reflection Matrix(2089,-6840,638,-2089) (36/11,95/29) -> (36/11,95/29) Reflection Matrix(3421,-11210,1044,-3421) (95/29,59/18) -> (95/29,59/18) Reflection Matrix(171,-574,14,-47) (57/17,47/14) -> (11/1,1/0) Glide Reflection Matrix(239,-816,70,-239) (17/5,24/7) -> (17/5,24/7) Reflection Matrix(97,-336,28,-97) (24/7,7/2) -> (24/7,7/2) Reflection Matrix(223,-832,26,-97) (41/11,15/4) -> (17/2,9/1) Hyperbolic Matrix(391,-1470,104,-391) (15/4,49/13) -> (15/4,49/13) Reflection Matrix(883,-3332,234,-883) (49/13,34/9) -> (49/13,34/9) Reflection Matrix(49,-200,12,-49) (4/1,25/6) -> (4/1,25/6) Reflection Matrix(251,-1050,60,-251) (25/6,21/5) -> (25/6,21/5) Reflection Matrix(815,-3774,176,-815) (37/8,51/11) -> (37/8,51/11) Reflection Matrix(307,-1428,66,-307) (51/11,14/3) -> (51/11,14/3) Reflection Matrix(51,-260,10,-51) (5/1,26/5) -> (5/1,26/5) Reflection Matrix(209,-1092,40,-209) (26/5,21/4) -> (26/5,21/4) Reflection Matrix(161,-1080,24,-161) (20/3,27/4) -> (20/3,27/4) Reflection Matrix(55,-378,8,-55) (27/4,7/1) -> (27/4,7/1) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,2,0,-1) -> Matrix(1,0,0,-1) (-1/1,1/0) -> (0/1,1/0) Matrix(-1,0,2,1) -> Matrix(1,0,2,-1) (-1/1,0/1) -> (0/1,1/1) Matrix(393,-40,226,-23) -> Matrix(3,-2,2,-1) 1/1 Matrix(775,-92,278,-33) -> Matrix(1,0,0,1) Matrix(823,-108,602,-79) -> Matrix(5,-2,2,-1) Matrix(271,-38,164,-23) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(55,-8,378,-55) -> Matrix(1,0,0,-1) (1/7,4/27) -> (0/1,1/0) Matrix(161,-24,1080,-161) -> Matrix(1,0,8,-1) (4/27,3/20) -> (0/1,1/4) Matrix(1939,-292,1348,-203) -> Matrix(7,-2,-4,1) Matrix(1131,-172,914,-139) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(591,-92,1394,-217) -> Matrix(1,0,0,1) Matrix(159,-26,214,-35) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(687,-118,1112,-191) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(2111,-368,740,-129) -> Matrix(1,0,-8,1) 0/1 Matrix(3481,-610,1478,-259) -> Matrix(7,-2,4,-1) Matrix(473,-84,580,-103) -> Matrix(7,-4,2,-1) Matrix(365,-68,628,-117) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(939,-178,364,-69) -> Matrix(5,-4,4,-3) 1/1 Matrix(821,-172,358,-75) -> Matrix(1,0,2,1) 0/1 Matrix(357,-76,512,-109) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1173,-254,254,-55) -> Matrix(1,0,-2,1) 0/1 Matrix(559,-122,866,-189) -> Matrix(1,0,0,1) Matrix(303,-68,254,-57) -> Matrix(1,0,-2,1) 0/1 Matrix(859,-196,504,-115) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(353,-82,452,-105) -> Matrix(3,2,2,1) Matrix(953,-226,350,-83) -> Matrix(1,0,2,1) 0/1 Matrix(149,-38,98,-25) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(787,-206,638,-167) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(931,-246,246,-65) -> Matrix(1,0,-2,1) 0/1 Matrix(1125,-302,488,-131) -> Matrix(5,-2,8,-3) 1/2 Matrix(1661,-448,634,-171) -> Matrix(3,-2,2,-1) 1/1 Matrix(437,-120,244,-67) -> Matrix(3,-2,2,-1) 1/1 Matrix(631,-176,484,-135) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(727,-204,1258,-353) -> Matrix(3,-2,2,-1) 1/1 Matrix(97,-28,336,-97) -> Matrix(5,-4,6,-5) (2/7,7/24) -> (2/3,1/1) Matrix(239,-70,816,-239) -> Matrix(9,-10,8,-9) (7/24,5/17) -> (1/1,5/4) Matrix(623,-184,430,-127) -> Matrix(1,-2,-2,3) Matrix(3489,-1036,2152,-639) -> Matrix(1,-2,6,-11) Matrix(2293,-682,622,-185) -> Matrix(3,-4,2,-3) *** -> (1/1,2/1) Matrix(669,-200,572,-171) -> Matrix(1,-2,0,1) 1/0 Matrix(903,-274,524,-159) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(2185,-666,666,-203) -> Matrix(1,-2,2,-3) 1/1 Matrix(379,-116,428,-131) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(569,-176,236,-73) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(661,-208,518,-163) -> Matrix(1,-2,2,-3) 1/1 Matrix(47,-16,138,-47) -> Matrix(1,0,0,-1) (1/3,8/23) -> (0/1,1/0) Matrix(321,-112,920,-321) -> Matrix(1,0,16,-1) (8/23,7/20) -> (0/1,1/8) Matrix(2111,-740,368,-129) -> Matrix(15,-2,8,-1) Matrix(1881,-662,412,-145) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(367,-130,686,-243) -> Matrix(7,-2,10,-3) Matrix(2011,-716,778,-277) -> Matrix(7,-2,4,-1) Matrix(685,-246,866,-311) -> Matrix(1,2,0,1) 1/0 Matrix(593,-214,956,-345) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1407,-514,1136,-415) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(4859,-1776,3450,-1261) -> Matrix(5,-2,-2,1) Matrix(5311,-1944,2314,-847) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(2723,-998,1678,-615) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(953,-350,226,-83) -> Matrix(1,0,-2,1) 0/1 Matrix(317,-118,180,-67) -> Matrix(1,0,-2,1) 0/1 Matrix(1305,-494,494,-187) -> Matrix(15,-8,2,-1) Matrix(763,-290,1034,-393) -> Matrix(17,-10,12,-7) Matrix(1661,-634,448,-171) -> Matrix(7,-4,2,-1) Matrix(5875,-2248,2062,-789) -> Matrix(3,-2,-10,7) Matrix(3407,-1304,2422,-927) -> Matrix(7,-4,-2,1) Matrix(985,-378,628,-241) -> Matrix(3,-2,-20,13) Matrix(1923,-742,806,-311) -> Matrix(3,-2,10,-7) Matrix(2011,-778,716,-277) -> Matrix(5,-4,-6,5) Matrix(939,-364,178,-69) -> Matrix(9,-8,8,-7) 1/1 Matrix(893,-348,1650,-643) -> Matrix(1,-2,2,-3) 1/1 Matrix(579,-226,848,-331) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(177,-70,134,-53) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(89,-36,220,-89) -> Matrix(5,-4,6,-5) (2/5,9/22) -> (2/3,1/1) Matrix(307,-126,748,-307) -> Matrix(13,-14,12,-13) (9/22,7/17) -> (1/1,7/6) Matrix(2327,-960,526,-217) -> Matrix(3,-4,4,-5) 1/1 Matrix(1403,-580,2194,-907) -> Matrix(3,-4,2,-3) *** -> (1/1,2/1) Matrix(569,-236,176,-73) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(613,-256,874,-365) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1923,-806,742,-311) -> Matrix(3,-4,2,-3) *** -> (1/1,2/1) Matrix(4061,-1704,1704,-715) -> Matrix(1,-2,4,-7) Matrix(3579,-1504,2620,-1101) -> Matrix(1,0,0,1) Matrix(4405,-1858,1918,-809) -> Matrix(1,-6,2,-13) Matrix(5887,-2484,13952,-5887) -> Matrix(-1,18,0,1) (27/64,46/109) -> (9/1,1/0) Matrix(4141,-1748,9810,-4141) -> Matrix(1,10,0,-1) (46/109,19/45) -> (-5/1,1/0) Matrix(2527,-1068,698,-295) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1393,-590,654,-277) -> Matrix(1,0,8,-1) *** -> (0/1,1/4) Matrix(3481,-1478,610,-259) -> Matrix(5,-4,4,-3) 1/1 Matrix(609,-260,260,-111) -> Matrix(1,-2,2,-3) 1/1 Matrix(1125,-488,302,-131) -> Matrix(1,0,0,1) Matrix(821,-358,172,-75) -> Matrix(1,-2,2,-3) 1/1 Matrix(647,-284,344,-151) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1465,-644,1076,-473) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(1075,-474,474,-209) -> Matrix(1,-4,2,-7) Matrix(557,-250,684,-307) -> Matrix(1,2,0,1) 1/0 Matrix(727,-328,512,-231) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(509,-234,298,-137) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2117,-982,1356,-629) -> Matrix(-1,0,6,1) *** -> (-1/3,0/1) Matrix(1099,-512,762,-355) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(589,-278,464,-219) -> Matrix(1,0,6,1) 0/1 Matrix(647,-344,284,-151) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(3221,-1740,1368,-739) -> Matrix(7,-6,6,-5) 1/1 Matrix(925,-502,562,-305) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(241,-132,440,-241) -> Matrix(13,-12,14,-13) (6/11,11/20) -> (6/7,1/1) Matrix(199,-110,360,-199) -> Matrix(9,-10,8,-9) (11/20,5/9) -> (1/1,5/4) Matrix(437,-244,120,-67) -> Matrix(1,-2,2,-3) 1/1 Matrix(317,-180,118,-67) -> Matrix(1,-2,0,1) 1/0 Matrix(393,-226,40,-23) -> Matrix(3,-2,2,-1) 1/1 Matrix(2243,-1292,3894,-2243) -> Matrix(7,-6,8,-7) (19/33,34/59) -> (3/4,1/1) Matrix(1769,-1020,3068,-1769) -> Matrix(5,-6,4,-5) (34/59,15/26) -> (1/1,3/2) Matrix(1729,-998,1062,-613) -> Matrix(1,-2,2,-5) Matrix(903,-524,274,-159) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(509,-298,234,-137) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(859,-504,196,-115) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(195,-116,116,-69) -> Matrix(1,-2,2,-3) 1/1 Matrix(271,-164,38,-23) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(925,-562,502,-305) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1425,-868,1118,-681) -> Matrix(1,-2,2,-5) Matrix(3157,-1926,1926,-1175) -> Matrix(1,-8,2,-15) Matrix(653,-400,462,-283) -> Matrix(1,0,0,1) Matrix(3489,-2152,1036,-639) -> Matrix(5,4,6,5) Matrix(5405,-3336,3336,-2059) -> Matrix(1,0,8,1) 0/1 Matrix(6857,-4240,3870,-2393) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(2069,-1280,1340,-829) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(267,-166,230,-143) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(191,-120,304,-191) -> Matrix(1,0,0,-1) (5/8,12/19) -> (0/1,1/0) Matrix(265,-168,418,-265) -> Matrix(1,0,4,-1) (12/19,7/11) -> (0/1,1/2) Matrix(985,-628,378,-241) -> Matrix(5,-2,2,-1) Matrix(2797,-1792,2040,-1307) -> Matrix(7,-4,2,-1) Matrix(1549,-994,868,-557) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1283,-826,452,-291) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(791,-510,76,-49) -> Matrix(3,-2,2,-1) 1/1 Matrix(2069,-1340,1280,-829) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(2143,-1392,1578,-1025) -> Matrix(1,0,-2,1) 0/1 Matrix(149,-98,38,-25) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(2501,-1714,1840,-1261) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(2941,-2018,1214,-833) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(623,-430,184,-127) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(1099,-762,512,-355) -> Matrix(1,-2,4,-9) Matrix(4941,-3430,1756,-1219) -> Matrix(1,-2,-2,5) Matrix(4281,-2974,2414,-1677) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(1939,-1348,292,-203) -> Matrix(-1,8,0,1) *** -> (4/1,1/0) Matrix(4441,-3122,1202,-845) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(8191,-5760,11648,-8191) -> Matrix(1,0,0,-1) (45/64,64/91) -> (0/1,1/0) Matrix(3457,-2432,4914,-3457) -> Matrix(1,0,4,-1) (64/91,19/27) -> (0/1,1/2) Matrix(727,-512,328,-231) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(653,-462,400,-283) -> Matrix(3,-2,8,-5) 1/2 Matrix(181,-130,252,-181) -> Matrix(7,-6,8,-7) (5/7,13/18) -> (3/4,1/1) Matrix(287,-208,396,-287) -> Matrix(13,-14,12,-13) (13/18,8/11) -> (1/1,7/6) Matrix(2797,-2040,1792,-1307) -> Matrix(5,-6,-24,29) Matrix(359,-262,322,-235) -> Matrix(3,-4,-4,5) Matrix(823,-602,108,-79) -> Matrix(3,-4,-4,5) Matrix(3579,-2620,1504,-1101) -> Matrix(3,-4,4,-5) 1/1 Matrix(1465,-1076,644,-473) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(2501,-1840,1714,-1261) -> Matrix(1,-2,-2,3) Matrix(2143,-1578,1392,-1025) -> Matrix(3,-4,-8,11) Matrix(177,-134,70,-53) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(631,-484,176,-135) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(315,-244,244,-189) -> Matrix(3,-4,4,-5) 1/1 Matrix(661,-518,208,-163) -> Matrix(3,-4,4,-5) 1/1 Matrix(589,-464,278,-219) -> Matrix(1,-2,12,-23) Matrix(2705,-2132,3432,-2705) -> Matrix(51,-100,26,-51) (26/33,41/52) -> (25/13,2/1) Matrix(1559,-1230,1976,-1559) -> Matrix(25,-52,12,-25) (41/52,15/19) -> (2/1,13/6) Matrix(277,-220,34,-27) -> Matrix(1,-2,0,1) 1/0 Matrix(1407,-1136,514,-415) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(1131,-914,172,-139) -> Matrix(-1,8,0,1) *** -> (4/1,1/0) Matrix(787,-638,206,-167) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(307,-252,374,-307) -> Matrix(-1,12,0,1) (9/11,14/17) -> (6/1,1/0) Matrix(169,-140,204,-169) -> Matrix(1,4,0,-1) (14/17,5/6) -> (-2/1,1/0) Matrix(303,-254,68,-57) -> Matrix(1,2,0,1) 1/0 Matrix(1811,-1538,670,-569) -> Matrix(1,0,0,1) Matrix(1809,-1540,1540,-1311) -> Matrix(1,0,-2,1) 0/1 Matrix(669,-572,200,-171) -> Matrix(3,2,4,3) Matrix(267,-230,166,-143) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(359,-322,262,-235) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(379,-428,116,-131) -> Matrix(1,2,2,3) Matrix(2339,-2744,514,-603) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(5359,-6298,4560,-5359) -> Matrix(-1,0,8,1) (47/40,67/57) -> (-1/4,0/1) Matrix(2279,-2680,1938,-2279) -> Matrix(1,0,2,-1) (67/57,20/17) -> (0/1,1/1) Matrix(1111,-1308,626,-737) -> Matrix(1,0,0,1) Matrix(965,-1142,398,-471) -> Matrix(3,2,4,3) Matrix(169,-204,140,-169) -> Matrix(-1,0,4,1) (6/5,17/14) -> (-1/2,0/1) Matrix(307,-374,252,-307) -> Matrix(1,0,8,-1) (17/14,11/9) -> (0/1,1/4) Matrix(473,-580,84,-103) -> Matrix(7,-2,4,-1) Matrix(685,-866,246,-311) -> Matrix(1,0,0,1) Matrix(1559,-1976,1230,-1559) -> Matrix(-1,0,4,1) (19/15,52/41) -> (-1/2,0/1) Matrix(2705,-3432,2132,-2705) -> Matrix(1,0,16,-1) (52/41,33/26) -> (0/1,1/8) Matrix(1393,-1770,218,-277) -> Matrix(9,-2,4,-1) Matrix(353,-452,82,-105) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1189,-1540,918,-1189) -> Matrix(11,-10,12,-11) (22/17,35/27) -> (5/6,1/1) Matrix(701,-910,540,-701) -> Matrix(5,-6,4,-5) (35/27,13/10) -> (1/1,3/2) Matrix(763,-1034,290,-393) -> Matrix(1,0,0,1) Matrix(13249,-18000,9752,-13249) -> Matrix(1,0,2,-1) (72/53,125/92) -> (0/1,1/1) Matrix(9751,-13250,7176,-9751) -> Matrix(-1,2,0,1) (125/92,53/39) -> (1/1,1/0) Matrix(1625,-2218,918,-1253) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(679,-932,314,-431) -> Matrix(1,-4,4,-17) Matrix(287,-396,208,-287) -> Matrix(-1,10,0,1) (11/8,18/13) -> (5/1,1/0) Matrix(181,-252,130,-181) -> Matrix(1,6,0,-1) (18/13,7/5) -> (-3/1,1/0) Matrix(7673,-10804,2806,-3951) -> Matrix(1,2,0,1) 1/0 Matrix(823,-1160,232,-327) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(3457,-4914,2432,-3457) -> Matrix(-1,8,0,1) (27/19,91/64) -> (4/1,1/0) Matrix(8191,-11648,5760,-8191) -> Matrix(1,34,0,-1) (91/64,64/45) -> (-17/1,1/0) Matrix(4889,-6954,1868,-2657) -> Matrix(1,10,0,-1) *** -> (-5/1,1/0) Matrix(613,-874,256,-365) -> Matrix(1,4,2,7) Matrix(357,-512,76,-109) -> Matrix(1,2,2,3) Matrix(3711,-5342,1372,-1975) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(4471,-6440,1728,-2489) -> Matrix(3,4,2,3) Matrix(1111,-1618,252,-367) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(579,-848,226,-331) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(6955,-10716,4514,-6955) -> Matrix(5,2,-12,-5) (57/37,94/61) -> (-1/2,-1/3) Matrix(4513,-6956,2928,-4513) -> Matrix(7,2,-24,-7) (94/61,37/24) -> (-1/3,-1/4) Matrix(559,-866,122,-189) -> Matrix(1,0,2,1) 0/1 Matrix(873,-1360,242,-377) -> Matrix(7,2,4,1) Matrix(1403,-2194,580,-907) -> Matrix(9,2,14,3) Matrix(265,-418,168,-265) -> Matrix(-1,0,16,1) (11/7,19/12) -> (-1/8,0/1) Matrix(191,-304,120,-191) -> Matrix(1,0,12,-1) (19/12,8/5) -> (0/1,1/6) Matrix(593,-956,214,-345) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(4619,-7470,1706,-2759) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(687,-1112,118,-191) -> Matrix(5,-2,2,-1) Matrix(4829,-7820,2982,-4829) -> Matrix(1,0,2,-1) (34/21,115/71) -> (0/1,1/1) Matrix(11501,-18630,7100,-11501) -> Matrix(1,0,20,-1) (115/71,81/50) -> (0/1,1/10) Matrix(4903,-7992,1792,-2921) -> Matrix(1,0,-2,1) 0/1 Matrix(4619,-7532,1768,-2883) -> Matrix(9,-4,2,-1) Matrix(1693,-2772,1034,-1693) -> Matrix(13,-6,28,-13) (18/11,77/47) -> (3/7,1/2) Matrix(5545,-9086,3384,-5545) -> Matrix(39,-20,76,-39) (77/47,59/36) -> (1/2,10/19) Matrix(517,-848,164,-269) -> Matrix(7,-4,12,-7) *** -> (1/2,2/3) Matrix(1013,-1716,598,-1013) -> Matrix(9,-8,10,-9) (22/13,39/23) -> (4/5,1/1) Matrix(781,-1326,460,-781) -> Matrix(5,-6,4,-5) (39/23,17/10) -> (1/1,3/2) Matrix(365,-628,68,-117) -> Matrix(3,-4,2,-3) *** -> (1/1,2/1) Matrix(727,-1258,204,-353) -> Matrix(1,0,0,1) Matrix(1769,-3068,1020,-1769) -> Matrix(1,0,2,-1) (26/15,59/34) -> (0/1,1/1) Matrix(2243,-3894,1292,-2243) -> Matrix(5,-6,4,-5) (59/34,33/19) -> (1/1,3/2) Matrix(407,-710,90,-157) -> Matrix(1,-2,0,1) 1/0 Matrix(1003,-1786,424,-755) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(199,-360,110,-199) -> Matrix(-1,2,0,1) (9/5,20/11) -> (1/1,1/0) Matrix(241,-440,132,-241) -> Matrix(1,2,0,-1) (20/11,11/6) -> (-1/1,1/0) Matrix(893,-1650,348,-643) -> Matrix(1,2,0,1) 1/0 Matrix(367,-686,130,-243) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(211,-472,38,-85) -> Matrix(7,-2,4,-1) Matrix(343,-774,152,-343) -> Matrix(5,-2,12,-5) (9/4,43/19) -> (1/3,1/2) Matrix(1291,-2924,570,-1291) -> Matrix(15,-8,28,-15) (43/19,34/15) -> (1/2,4/7) Matrix(731,-1688,262,-605) -> Matrix(3,-2,2,-1) 1/1 Matrix(3479,-8178,1480,-3479) -> Matrix(15,-14,16,-15) (47/20,87/37) -> (7/8,1/1) Matrix(2959,-6960,1258,-2959) -> Matrix(9,-10,8,-9) (87/37,40/17) -> (1/1,5/4) Matrix(591,-1394,92,-217) -> Matrix(1,2,0,1) 1/0 Matrix(4141,-9810,1748,-4141) -> Matrix(3,-2,4,-3) (45/19,109/46) -> (1/2,1/1) Matrix(5887,-13952,2484,-5887) -> Matrix(-1,2,0,1) (109/46,64/27) -> (1/1,1/0) Matrix(975,-2312,202,-479) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(2037,-4846,752,-1789) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(5501,-13100,2310,-5501) -> Matrix(-1,0,2,1) (50/21,131/55) -> (-1/1,0/1) Matrix(8909,-21222,3740,-8909) -> Matrix(1,0,12,-1) (131/55,81/34) -> (0/1,1/6) Matrix(307,-748,126,-307) -> Matrix(7,-6,8,-7) (17/7,22/9) -> (3/4,1/1) Matrix(89,-220,36,-89) -> Matrix(-1,2,0,1) (22/9,5/2) -> (1/1,1/0) Matrix(1583,-4060,278,-713) -> Matrix(1,0,0,1) Matrix(937,-2412,364,-937) -> Matrix(1,0,2,-1) (18/7,67/26) -> (0/1,1/1) Matrix(2547,-6566,988,-2547) -> Matrix(9,-10,8,-9) (67/26,49/19) -> (1/1,5/4) Matrix(4529,-11714,1608,-4159) -> Matrix(1,-2,0,1) 1/0 Matrix(2059,-5382,360,-941) -> Matrix(3,-14,2,-9) Matrix(2245,-5878,668,-1749) -> Matrix(3,4,4,5) Matrix(427,-1124,68,-179) -> Matrix(-1,4,0,1) *** -> (2/1,1/0) Matrix(1259,-3330,476,-1259) -> Matrix(-1,18,0,1) (37/14,45/17) -> (9/1,1/0) Matrix(271,-720,102,-271) -> Matrix(1,4,0,-1) (45/17,8/3) -> (-2/1,1/0) Matrix(951,-2584,350,-951) -> Matrix(-1,0,4,1) (19/7,68/25) -> (-1/2,0/1) Matrix(2449,-6664,900,-2449) -> Matrix(1,0,8,-1) (68/25,49/18) -> (0/1,1/4) Matrix(1961,-5354,582,-1589) -> Matrix(5,-4,6,-5) *** -> (2/3,1/1) Matrix(565,-1544,116,-317) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(22245,-60836,8134,-22245) -> Matrix(1,0,2,-1) (134/49,227/83) -> (0/1,1/1) Matrix(15437,-42222,5644,-15437) -> Matrix(-1,2,0,1) (227/83,93/34) -> (1/1,1/0) Matrix(9881,-27816,3510,-9881) -> Matrix(-1,0,6,1) (76/27,183/65) -> (-1/3,0/1) Matrix(13909,-39162,4940,-13909) -> Matrix(1,0,0,-1) (183/65,107/38) -> (0/1,1/0) Matrix(321,-920,112,-321) -> Matrix(-1,0,14,1) (20/7,23/8) -> (-1/7,0/1) Matrix(47,-138,16,-47) -> Matrix(1,0,4,-1) (23/8,3/1) -> (0/1,1/2) Matrix(2089,-6840,638,-2089) -> Matrix(7,-6,8,-7) (36/11,95/29) -> (3/4,1/1) Matrix(3421,-11210,1044,-3421) -> Matrix(-1,2,0,1) (95/29,59/18) -> (1/1,1/0) Matrix(171,-574,14,-47) -> Matrix(11,-8,4,-3) Matrix(239,-816,70,-239) -> Matrix(15,-14,16,-15) (17/5,24/7) -> (7/8,1/1) Matrix(97,-336,28,-97) -> Matrix(5,-6,4,-5) (24/7,7/2) -> (1/1,3/2) Matrix(223,-832,26,-97) -> Matrix(1,-2,2,-3) 1/1 Matrix(391,-1470,104,-391) -> Matrix(-1,4,0,1) (15/4,49/13) -> (2/1,1/0) Matrix(883,-3332,234,-883) -> Matrix(1,2,0,-1) (49/13,34/9) -> (-1/1,1/0) Matrix(49,-200,12,-49) -> Matrix(-1,2,0,1) (4/1,25/6) -> (1/1,1/0) Matrix(251,-1050,60,-251) -> Matrix(1,0,0,-1) (25/6,21/5) -> (0/1,1/0) Matrix(815,-3774,176,-815) -> Matrix(-1,0,8,1) (37/8,51/11) -> (-1/4,0/1) Matrix(307,-1428,66,-307) -> Matrix(1,0,6,-1) (51/11,14/3) -> (0/1,1/3) Matrix(51,-260,10,-51) -> Matrix(3,-2,4,-3) (5/1,26/5) -> (1/2,1/1) Matrix(209,-1092,40,-209) -> Matrix(17,-18,16,-17) (26/5,21/4) -> (1/1,9/8) Matrix(161,-1080,24,-161) -> Matrix(-1,18,0,1) (20/3,27/4) -> (9/1,1/0) Matrix(55,-378,8,-55) -> Matrix(1,4,0,-1) (27/4,7/1) -> (-2/1,1/0) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.