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 -57/124 -27/62 -61/155 -71/186 -47/124 -23/62 -19/62 -37/124 -55/186 -17/62 -83/310 -65/248 -29/124 -13/62 -6/31 -5/26 -11/62 -5/29 -5/31 -4/25 -2/19 -1/11 -1/12 0/1 1/10 1/9 2/17 1/8 4/31 3/23 2/15 3/22 1/7 4/27 3/20 2/13 3/19 1/6 4/23 3/17 5/28 2/11 5/27 3/16 4/21 1/5 6/29 5/24 3/14 2/9 7/31 3/13 7/30 5/21 1/4 8/31 5/18 7/25 2/7 9/31 46/155 1/3 11/31 34/93 12/31 2/5 64/155 13/31 41/93 14/31 7/15 1/2 17/31 52/93 18/31 91/155 94/155 19/31 59/93 20/31 2/3 109/155 22/31 23/31 24/31 25/31 26/31 27/31 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/2 -9/10 1/0 -8/9 0/1 1/0 -15/17 1/2 -7/8 1/2 -27/31 1/2 -20/23 1/2 9/17 -33/38 1/2 -13/15 1/2 -19/22 7/12 -6/7 1/2 2/3 -23/27 3/4 -40/47 3/4 7/9 -17/20 5/6 -11/13 1/2 -16/19 4/5 1/1 -5/6 1/0 -19/23 1/0 -14/17 1/2 1/1 -23/28 1/0 -9/11 1/0 -22/27 0/1 1/1 -13/16 1/2 -17/21 1/2 -4/5 1/2 1/1 -23/29 3/4 -19/24 3/4 -15/19 3/2 -26/33 1/1 2/1 -11/14 1/2 -18/23 1/3 1/2 -25/32 1/2 -7/9 3/4 -24/31 1/1 -17/22 7/6 -27/35 3/2 -37/48 3/2 -47/61 3/2 -10/13 1/1 2/1 -23/30 1/0 -36/47 -7/1 1/0 -13/17 1/0 -16/21 0/1 1/2 -3/4 1/0 -23/31 0/1 -20/27 0/1 1/7 -37/50 1/6 -17/23 1/4 -31/42 1/2 -14/19 0/1 1/3 -25/34 1/2 -11/15 1/2 -52/71 1/2 2/3 -41/56 3/4 -71/97 1/0 -30/41 0/1 1/2 -19/26 1/2 -8/11 2/3 1/1 -29/40 5/4 -21/29 3/2 -34/47 -3/1 1/0 -81/112 -3/2 -47/65 1/0 -13/18 1/0 -44/61 0/1 1/0 -31/43 -1/2 -18/25 0/1 1/4 -41/57 1/2 -23/32 1/2 -5/7 1/2 -22/31 1/1 -17/24 3/2 -46/65 1/1 2/1 -29/41 1/0 -12/17 1/1 1/0 -43/61 1/0 -31/44 -1/2 -50/71 0/1 1/6 -19/27 1/2 -64/91 8/9 1/1 -109/155 1/1 -45/64 7/6 -26/37 2/1 1/0 -59/84 1/2 -33/47 1/0 -40/57 1/1 1/0 -7/10 1/0 -23/33 -1/2 -16/23 1/2 1/1 -41/59 1/2 -25/36 1/2 -9/13 1/0 -20/29 0/1 1/1 -11/16 1/0 -13/19 1/0 -28/41 0/1 1/0 -15/22 1/0 -2/3 0/1 1/1 -15/23 1/0 -13/20 1/2 -37/57 1/0 -24/37 0/1 1/2 -11/17 1/0 -20/31 0/1 -9/14 1/2 -16/25 0/1 1/0 -7/11 1/0 -33/52 -1/2 -59/93 0/1 -26/41 0/1 1/4 -45/71 1/4 -19/30 1/2 -31/49 3/4 -12/19 0/1 1/1 -29/46 1/0 -17/27 -1/2 -5/8 1/2 -28/45 3/4 1/1 -23/37 1/2 -41/66 5/6 -18/29 1/1 2/1 -13/21 1/0 -47/76 1/0 -34/55 0/1 1/4 -55/89 1/2 -76/123 0/1 1/2 -21/34 1/2 -29/47 1/2 -8/13 2/3 1/1 -19/31 1/1 -11/18 3/2 -36/59 1/1 2/1 -25/41 3/2 -39/64 7/4 -14/23 1/1 1/0 -45/74 -1/2 -31/51 1/0 -17/28 1/0 -37/61 1/2 -20/33 0/1 1/1 -3/5 1/0 -19/32 1/0 -35/59 -1/2 -16/27 -1/1 0/1 -13/22 1/4 -49/83 1/0 -36/61 0/1 1/2 -59/100 1/4 -23/39 1/2 -10/17 1/1 1/0 -37/63 1/0 -64/109 15/1 1/0 -91/155 1/0 -27/46 1/0 -17/29 -3/2 -7/12 -1/2 -18/31 0/1 -11/19 1/6 -37/64 3/14 -26/45 1/4 1/3 -41/71 1/0 -15/26 1/4 -34/59 0/1 1/3 -53/92 1/2 -19/33 1/2 -23/40 3/8 -4/7 0/1 1/2 -17/30 1/2 -13/23 1/2 -9/16 1/2 -23/41 1/2 -14/25 0/1 1/2 -33/59 1/2 -52/93 1/2 -19/34 1/2 -24/43 4/7 3/5 -5/9 3/4 -26/47 3/4 1/1 -21/38 5/6 -16/29 4/5 1/1 -27/49 3/4 -11/20 7/8 -17/31 1/1 -6/11 1/1 4/3 -13/24 3/2 -20/37 7/4 2/1 -27/50 5/2 -7/13 1/0 -8/15 5/1 1/0 -9/17 1/0 -1/2 1/2 -8/17 3/1 1/0 -7/15 1/0 -6/13 -1/1 0/1 -29/63 -1/2 -23/50 -1/2 -40/87 -1/8 0/1 -57/124 0/1 -17/37 1/2 -11/24 -1/2 -16/35 -1/1 0/1 -5/11 -1/2 -14/31 0/1 -9/20 1/6 -13/29 1/2 -17/38 1/2 -21/47 1/2 -4/9 0/1 1/2 -15/34 1/2 -41/93 0/1 -26/59 0/1 1/3 -37/84 1/2 -11/25 1/4 -29/66 3/8 -18/41 2/5 1/2 -7/16 1/2 -17/39 1/2 -27/62 1/2 -10/23 1/2 5/9 -13/30 1/2 -3/7 1/2 -14/33 2/3 1/1 -53/125 3/4 -92/217 1/1 -39/92 1/2 -25/59 3/4 -11/26 3/4 -41/97 3/4 -30/71 4/5 13/16 -19/45 5/6 -27/64 17/20 -35/83 5/6 -8/19 8/9 1/1 -13/31 1/1 -5/12 5/4 -27/65 3/2 -49/118 1/0 -22/53 3/2 2/1 -17/41 3/2 -12/29 1/1 4/3 -19/46 3/2 -64/155 3/2 -45/109 3/2 -26/63 3/2 2/1 -7/17 1/0 -16/39 3/1 1/0 -41/100 1/0 -25/61 1/0 -34/83 0/1 1/2 -9/22 1/2 -11/27 3/2 -24/59 1/1 2/1 -13/32 1/0 -2/5 1/1 1/0 -13/33 3/2 -37/94 3/2 -61/155 2/1 -24/61 2/1 1/0 -11/28 1/0 -9/23 1/0 -25/64 5/4 -41/105 1/0 -16/41 2/1 1/0 -23/59 1/0 -7/18 1/0 -12/31 1/0 -5/13 1/0 -18/47 -3/1 1/0 -13/34 1/0 -47/123 -1/2 -34/89 -1/1 0/1 -21/55 -1/2 -71/186 0/1 -50/131 0/1 1/6 -29/76 1/2 -37/97 1/2 -8/21 0/1 1/0 -27/71 1/0 -46/121 0/1 1/1 -19/50 1/0 -11/29 3/4 -47/124 1/1 -36/95 1/1 12/11 -25/66 5/4 -14/37 3/2 2/1 -17/45 1/0 -3/8 1/0 -13/35 -1/4 -23/62 0/1 -10/27 0/1 1/3 -17/46 1/2 -7/19 1/2 -18/49 0/1 1/3 -11/30 1/2 -15/41 3/4 -34/93 1/1 -19/52 3/2 -23/63 1/0 -4/11 0/1 1/1 -13/36 1/0 -35/97 1/0 -22/61 0/1 1/0 -31/86 -1/2 -9/25 1/2 -23/64 1/6 -14/39 1/3 1/2 -5/14 1/2 -11/31 1/1 -6/17 1/1 3/2 -13/37 1/0 -7/20 1/0 -8/23 1/1 1/0 -1/3 1/0 -8/25 -4/1 1/0 -7/22 -5/2 -13/41 -3/2 -6/19 -1/1 0/1 -5/16 1/0 -9/29 -5/2 -4/13 -2/1 -1/1 -19/62 -1/1 -15/49 -3/4 -11/36 -1/2 -18/59 -1/1 0/1 -7/23 1/0 -17/56 1/0 -27/89 -5/4 -10/33 -1/1 -2/3 -13/43 -3/4 -3/10 -1/2 -20/67 -1/1 -1/2 -37/124 -1/2 -17/57 -1/2 -31/104 1/0 -14/47 -1/2 -1/3 -11/37 -1/4 -19/64 -1/8 -46/155 0/1 -27/91 1/6 -8/27 -1/1 0/1 -29/98 -1/2 -21/71 -1/6 -55/186 0/1 -34/115 0/1 1/8 -13/44 1/0 -18/61 0/1 1/0 -5/17 -1/2 -12/41 -1/4 0/1 -19/65 -1/4 -26/89 -1/5 0/1 -7/24 -1/6 -9/31 0/1 -2/7 0/1 1/2 -9/32 1/2 -16/57 1/2 1/1 -23/82 3/4 -7/25 3/4 -26/93 1/1 -19/68 7/6 -12/43 1/1 2/1 -29/104 3/2 -46/165 2/1 5/2 -17/61 1/0 -5/18 1/2 -18/65 0/1 1/1 -31/112 1/2 -13/47 1/2 -34/123 1/2 2/3 -21/76 3/4 -8/29 0/1 1/1 -19/69 1/0 -11/40 1/2 -14/51 8/9 1/1 -17/62 1/1 -3/11 3/2 -10/37 3/2 2/1 -27/100 1/0 -17/63 1/0 -24/89 1/1 2/1 -7/26 1/0 -25/93 1/0 -18/67 1/1 1/0 -11/41 1/0 -26/97 1/1 2/1 -15/56 5/2 -49/183 1/0 -83/310 2/1 -34/127 2/1 3/1 -19/71 1/0 -4/15 3/1 1/0 -9/34 1/0 -14/53 0/1 1/0 -19/72 1/0 -5/19 3/2 -16/61 2/1 1/0 -27/103 3/2 -65/248 2/1 -38/145 2/1 9/4 -11/42 1/0 -6/23 3/1 1/0 -13/50 9/2 -20/77 3/1 1/0 -7/27 1/0 -8/31 1/0 -1/4 1/0 -6/25 -2/3 -1/2 -5/21 -1/2 -4/17 -1/1 -1/2 -11/47 -1/2 -29/124 -1/2 -18/77 -1/2 -13/27 -7/30 -1/2 -3/13 -1/4 -17/74 -1/2 -14/61 -1/4 0/1 -11/48 -1/6 -19/83 -1/6 -8/35 -1/5 0/1 -5/22 -1/10 -7/31 0/1 -2/9 0/1 1/4 -9/41 1/4 -7/32 1/2 -5/23 1/2 -13/60 5/6 -8/37 0/1 1/0 -3/14 1/2 -13/61 1/2 -10/47 1/2 7/13 -7/33 5/8 -11/52 1/2 -4/19 4/5 1/1 -13/62 1/1 -9/43 9/8 -5/24 3/2 -6/29 1/1 2/1 -1/5 1/0 -6/31 1/0 -5/26 1/0 -4/21 -2/1 1/0 -3/16 1/0 -5/27 -3/2 -12/65 -2/1 -1/1 -7/38 1/0 -2/11 -1/1 0/1 -11/61 -1/2 -9/50 -1/2 -7/39 1/0 -5/28 1/0 -8/45 -3/2 -1/1 -11/62 -1/1 -3/17 -1/2 -4/23 -1/2 -1/3 -5/29 -1/6 -6/35 0/1 1/1 -1/6 -1/2 -5/31 0/1 -4/25 0/1 1/8 -3/19 1/2 -2/13 0/1 1/1 -5/33 -1/2 -3/20 1/2 -10/67 1/1 1/0 -7/47 1/0 -11/74 1/0 -4/27 0/1 1/1 -1/7 1/2 -3/22 1/0 -5/37 3/2 -2/15 1/1 1/0 -5/38 3/2 -3/23 1/0 -4/31 1/0 -1/8 1/0 -2/17 -1/1 -1/2 -1/9 1/2 -2/19 -2/1 -1/1 -1/10 -1/2 -1/11 1/0 -1/12 -1/2 0/1 0/1 1/0 1/10 1/2 1/9 -1/2 2/17 1/2 1/1 1/8 1/0 4/31 1/0 3/23 1/0 5/38 -3/2 2/15 -1/1 1/0 3/22 1/0 1/7 -1/2 4/27 -1/1 0/1 7/47 1/0 3/20 -1/2 2/13 -1/1 0/1 3/19 -1/2 1/6 1/2 4/23 1/3 1/2 3/17 1/2 5/28 1/0 2/11 0/1 1/1 5/27 3/2 3/16 1/0 4/21 2/1 1/0 1/5 1/0 6/29 -2/1 -1/1 5/24 -3/2 4/19 -1/1 -4/5 7/33 -5/8 3/14 -1/2 5/23 -1/2 7/32 -1/2 2/9 -1/4 0/1 7/31 0/1 5/22 1/10 8/35 0/1 1/5 11/48 1/6 14/61 0/1 1/4 3/13 1/4 7/30 1/2 11/47 1/2 4/17 1/2 1/1 5/21 1/2 1/4 1/0 8/31 1/0 7/27 1/0 13/50 -9/2 6/23 -3/1 1/0 11/42 1/0 5/19 -3/2 9/34 1/0 4/15 -3/1 1/0 19/71 1/0 15/56 -5/2 26/97 -2/1 -1/1 11/41 1/0 7/26 1/0 3/11 -3/2 11/40 -1/2 8/29 -1/1 0/1 13/47 -1/2 31/112 -1/2 18/65 -1/1 0/1 5/18 -1/2 17/61 1/0 12/43 -2/1 -1/1 7/25 -3/4 16/57 -1/1 -1/2 9/32 -1/2 2/7 -1/2 0/1 9/31 0/1 7/24 1/6 19/65 1/4 12/41 0/1 1/4 5/17 1/2 18/61 0/1 1/0 13/44 1/0 21/71 1/6 8/27 0/1 1/1 27/91 -1/6 46/155 0/1 19/64 1/8 11/37 1/4 25/84 1/2 14/47 1/3 1/2 17/57 1/2 3/10 1/2 10/33 2/3 1/1 7/23 1/0 18/59 0/1 1/1 11/36 1/2 4/13 1/1 2/1 9/29 5/2 5/16 1/0 6/19 0/1 1/1 13/41 3/2 7/22 5/2 1/3 1/0 8/23 -1/1 1/0 7/20 1/0 20/57 -3/2 -1/1 13/37 1/0 6/17 -3/2 -1/1 11/31 -1/1 5/14 -1/2 9/25 -1/2 4/11 -1/1 0/1 19/52 -3/2 34/93 -1/1 15/41 -3/4 26/71 -3/4 -2/3 11/30 -1/2 18/49 -1/3 0/1 7/19 -1/2 17/46 -1/2 10/27 -1/3 0/1 3/8 1/0 17/45 1/0 14/37 -2/1 -3/2 25/66 -5/4 11/29 -3/4 8/21 0/1 1/0 29/76 -1/2 21/55 1/2 34/89 0/1 1/1 47/123 1/2 13/34 1/0 18/47 3/1 1/0 5/13 1/0 12/31 1/0 7/18 1/0 23/59 1/0 16/41 -2/1 1/0 25/64 -5/4 9/23 1/0 29/74 -3/2 20/51 -2/1 -1/1 11/28 1/0 24/61 -2/1 1/0 13/33 -3/2 2/5 -1/1 1/0 13/32 1/0 24/59 -2/1 -1/1 11/27 -3/2 9/22 -1/2 34/83 -1/2 0/1 25/61 1/0 41/100 1/0 16/39 -3/1 1/0 7/17 1/0 26/63 -2/1 -3/2 45/109 -3/2 64/155 -3/2 19/46 -3/2 12/29 -4/3 -1/1 5/12 -5/4 13/31 -1/1 8/19 -1/1 -8/9 27/64 -17/20 19/45 -5/6 30/71 -13/16 -4/5 11/26 -3/4 25/59 -3/4 39/92 -1/2 14/33 -1/1 -2/3 17/40 -3/4 3/7 -1/2 13/30 -1/2 10/23 -5/9 -1/2 7/16 -1/2 18/41 -1/2 -2/5 11/25 -1/4 26/59 -1/3 0/1 41/93 0/1 15/34 -1/2 19/43 -3/8 4/9 -1/2 0/1 21/47 -1/2 17/38 -1/2 13/29 -1/2 22/49 -1/5 0/1 9/20 -1/6 14/31 0/1 5/11 1/2 11/24 1/2 17/37 -1/2 23/50 1/2 6/13 0/1 1/1 7/15 1/0 8/17 -3/1 1/0 1/2 -1/2 9/17 1/0 8/15 -5/1 1/0 7/13 1/0 34/63 -2/1 1/0 27/50 -5/2 47/87 -13/6 67/124 -2/1 20/37 -2/1 -7/4 13/24 -3/2 19/35 1/0 6/11 -4/3 -1/1 17/31 -1/1 11/20 -7/8 16/29 -1/1 -4/5 21/38 -5/6 26/47 -1/1 -3/4 5/9 -3/4 19/34 -1/2 52/93 -1/2 33/59 -1/2 47/84 -3/8 14/25 -1/2 0/1 37/66 -3/4 23/41 -1/2 9/16 -1/2 22/39 -7/13 -1/2 35/62 -1/2 13/23 -1/2 17/30 -1/2 4/7 -1/2 0/1 19/33 -1/2 72/125 -1/4 0/1 125/217 0/1 53/92 -1/2 34/59 -1/3 0/1 15/26 -1/4 56/97 -1/5 0/1 41/71 1/0 26/45 -1/3 -1/4 37/64 -3/14 48/83 -1/6 0/1 11/19 -1/6 18/31 0/1 7/12 1/2 38/65 0/1 1/1 69/118 1/0 31/53 1/2 24/41 0/1 1/2 17/29 3/2 27/46 1/0 91/155 1/0 64/109 -15/1 1/0 37/63 1/0 10/17 -1/1 1/0 23/39 -1/2 59/100 -1/4 36/61 -1/2 0/1 49/83 1/0 13/22 -1/4 16/27 0/1 1/1 35/59 1/2 19/32 1/0 3/5 1/0 20/33 -1/1 0/1 57/94 1/0 94/155 -1/1 37/61 -1/2 17/28 1/0 14/23 -1/1 1/0 39/64 -7/4 64/105 -1/1 0/1 25/41 -3/2 36/59 -2/1 -1/1 11/18 -3/2 19/31 -1/1 8/13 -1/1 -2/3 29/47 -1/2 21/34 -1/2 76/123 -1/2 0/1 55/89 -1/2 34/55 -1/4 0/1 115/186 0/1 81/131 1/4 47/76 1/0 60/97 -1/1 0/1 13/21 1/0 44/71 0/1 1/0 75/121 1/0 31/50 -3/2 18/29 -2/1 -1/1 77/124 -1/1 59/95 -13/14 41/66 -5/6 23/37 -1/2 28/45 -1/1 -3/4 5/8 -1/2 22/35 -1/5 0/1 39/62 0/1 17/27 1/2 29/46 1/0 12/19 -1/1 0/1 31/49 -3/4 19/30 -1/2 26/41 -1/4 0/1 59/93 0/1 33/52 1/2 40/63 0/1 1/0 7/11 1/0 23/36 -1/2 62/97 -1/1 0/1 39/61 -1/2 55/86 -1/2 16/25 0/1 1/0 41/64 -5/6 25/39 -1/2 9/14 -1/2 20/31 0/1 11/17 1/0 24/37 -1/2 0/1 13/20 -1/2 15/23 1/0 2/3 -1/1 0/1 17/25 -1/2 15/22 1/0 28/41 0/1 1/0 13/19 1/0 11/16 1/0 20/29 -1/1 0/1 9/13 1/0 43/62 -1/1 34/49 -1/1 -4/5 25/36 -1/2 41/59 -1/2 16/23 -1/1 -1/2 39/56 -1/2 62/89 -1/5 0/1 23/33 1/2 30/43 -1/1 -2/3 7/10 1/0 47/67 1/0 87/124 1/0 40/57 -1/1 1/0 73/104 -1/2 33/47 1/0 26/37 -2/1 1/0 45/64 -7/6 109/155 -1/1 64/91 -1/1 -8/9 19/27 -1/2 69/98 -1/2 50/71 -1/6 0/1 131/186 0/1 81/115 1/8 31/44 1/2 43/61 1/0 12/17 -1/1 1/0 29/41 1/0 46/65 -2/1 -1/1 63/89 1/0 17/24 -3/2 22/31 -1/1 5/7 -1/2 23/32 -1/2 41/57 -1/2 59/82 -1/4 18/25 -1/4 0/1 67/93 0/1 49/68 1/6 31/43 1/2 75/104 1/0 119/165 1/2 44/61 0/1 1/0 13/18 1/0 47/65 1/0 81/112 3/2 34/47 3/1 1/0 89/123 1/0 55/76 1/0 21/29 -3/2 50/69 -2/1 -3/2 29/40 -5/4 37/51 -9/8 45/62 -1/1 8/11 -1/1 -2/3 27/37 -3/4 73/100 -5/8 46/63 -2/3 -1/2 65/89 -1/2 19/26 -1/2 68/93 -1/2 49/67 -1/2 30/41 -1/2 0/1 71/97 1/0 41/56 -3/4 134/183 -1/1 -2/3 227/310 -2/3 93/127 -1/2 52/71 -2/3 -1/2 11/15 -1/2 25/34 -1/2 39/53 -5/12 53/72 -3/8 14/19 -1/3 0/1 45/61 -1/4 76/103 -1/6 0/1 183/248 0/1 107/145 1/0 31/42 -1/2 17/23 -1/4 37/50 -1/6 57/77 -1/6 20/27 -1/7 0/1 23/31 0/1 3/4 1/0 19/25 -3/4 16/21 -1/2 0/1 13/17 1/0 36/47 7/1 1/0 95/124 1/0 59/77 1/0 23/30 1/0 10/13 -2/1 -1/1 57/74 -3/2 47/61 -3/2 37/48 -3/2 64/83 -4/3 -5/4 27/35 -3/2 17/22 -7/6 24/31 -1/1 7/9 -3/4 32/41 -3/4 -2/3 25/32 -1/2 18/23 -1/2 -1/3 47/60 -1/6 29/37 -1/2 11/14 -1/2 48/61 0/1 1/0 37/47 1/0 26/33 -2/1 -1/1 41/52 1/0 15/19 -3/2 49/62 -1/1 34/43 -1/1 -10/11 19/24 -3/4 23/29 -3/4 4/5 -1/1 -1/2 25/31 -1/2 21/26 -1/2 17/21 -1/2 13/16 -1/2 22/27 -1/1 0/1 53/65 -1/2 31/38 1/0 9/11 1/0 50/61 0/1 1/0 41/50 1/2 32/39 -1/1 1/0 23/28 1/0 37/45 -3/2 51/62 -1/1 14/17 -1/1 -1/2 19/23 1/0 24/29 -4/3 -1/1 29/35 -3/4 5/6 1/0 26/31 -1/1 21/25 -9/10 16/19 -1/1 -4/5 11/13 -1/2 28/33 -1/1 -2/3 17/20 -5/6 57/67 -3/4 40/47 -7/9 -3/4 63/74 -5/6 23/27 -3/4 6/7 -2/3 -1/2 19/22 -7/12 32/37 -2/3 -1/2 13/15 -1/2 33/38 -1/2 20/23 -9/17 -1/2 27/31 -1/2 7/8 -1/2 15/17 -1/2 8/9 0/1 1/0 17/19 -3/2 9/10 1/0 10/11 -1/1 -2/3 11/12 -1/2 1/1 -1/2 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(249,226,-682,-619) (-1/1,-9/10) -> (-19/52,-23/63) Hyperbolic Matrix(311,278,-1178,-1053) (-9/10,-8/9) -> (-14/53,-19/72) Hyperbolic Matrix(681,602,1612,1425) (-8/9,-15/17) -> (19/45,30/71) Hyperbolic Matrix(187,164,496,435) (-15/17,-7/8) -> (3/8,17/45) Hyperbolic Matrix(433,378,496,433) (-7/8,-27/31) -> (27/31,7/8) Hyperbolic Matrix(1241,1080,1426,1241) (-27/31,-20/23) -> (20/23,27/31) Hyperbolic Matrix(1551,1348,3782,3287) (-20/23,-33/38) -> (41/100,16/39) Hyperbolic Matrix(1053,914,2356,2045) (-33/38,-13/15) -> (21/47,17/38) Hyperbolic Matrix(1611,1394,-2294,-1985) (-13/15,-19/22) -> (-59/84,-33/47) Hyperbolic Matrix(1303,1124,1798,1551) (-19/22,-6/7) -> (50/69,29/40) Hyperbolic Matrix(1303,1112,2108,1799) (-6/7,-23/27) -> (55/89,34/55) Hyperbolic Matrix(869,740,-3348,-2851) (-23/27,-40/47) -> (-20/77,-7/27) Hyperbolic Matrix(1737,1478,-5828,-4959) (-40/47,-17/20) -> (-31/104,-14/47) Hyperbolic Matrix(683,580,-1240,-1053) (-17/20,-11/13) -> (-27/49,-11/20) Hyperbolic Matrix(745,628,1178,993) (-11/13,-16/19) -> (12/19,31/49) Hyperbolic Matrix(433,364,-1550,-1303) (-16/19,-5/6) -> (-19/68,-12/43) Hyperbolic Matrix(433,358,-1426,-1179) (-5/6,-19/23) -> (-7/23,-17/56) Hyperbolic Matrix(621,512,1054,869) (-19/23,-14/17) -> (10/17,23/39) Hyperbolic Matrix(309,254,-1736,-1427) (-14/17,-23/28) -> (-5/28,-8/45) Hyperbolic Matrix(1055,866,-1736,-1425) (-23/28,-9/11) -> (-31/51,-17/28) Hyperbolic Matrix(311,254,-682,-557) (-9/11,-22/27) -> (-16/35,-5/11) Hyperbolic Matrix(619,504,1674,1363) (-22/27,-13/16) -> (17/46,10/27) Hyperbolic Matrix(557,452,992,805) (-13/16,-17/21) -> (23/41,9/16) Hyperbolic Matrix(433,350,-1612,-1303) (-17/21,-4/5) -> (-18/67,-11/41) Hyperbolic Matrix(123,98,310,247) (-4/5,-23/29) -> (13/33,2/5) Hyperbolic Matrix(805,638,1798,1425) (-23/29,-19/24) -> (17/38,13/29) Hyperbolic Matrix(311,246,-1488,-1177) (-19/24,-15/19) -> (-9/43,-5/24) Hyperbolic Matrix(619,488,-2046,-1613) (-15/19,-26/33) -> (-10/33,-13/43) Hyperbolic Matrix(805,634,-2914,-2295) (-26/33,-11/14) -> (-21/76,-8/29) Hyperbolic Matrix(311,244,-868,-681) (-11/14,-18/23) -> (-14/39,-5/14) Hyperbolic Matrix(619,484,1426,1115) (-18/23,-25/32) -> (13/30,10/23) Hyperbolic Matrix(1611,1258,-2542,-1985) (-25/32,-7/9) -> (-45/71,-19/30) Hyperbolic Matrix(433,336,558,433) (-7/9,-24/31) -> (24/31,7/9) Hyperbolic Matrix(1055,816,1364,1055) (-24/31,-17/22) -> (17/22,24/31) Hyperbolic Matrix(557,430,1364,1053) (-17/22,-27/35) -> (11/27,9/22) Hyperbolic Matrix(2791,2152,-7316,-5641) (-27/35,-37/48) -> (-29/76,-37/97) Hyperbolic Matrix(7627,5878,10540,8123) (-37/48,-47/61) -> (89/123,55/76) Hyperbolic Matrix(743,572,-1612,-1241) (-47/61,-10/13) -> (-6/13,-29/63) Hyperbolic Matrix(683,524,1860,1427) (-10/13,-23/30) -> (11/30,18/49) Hyperbolic Matrix(869,666,-3720,-2851) (-23/30,-36/47) -> (-18/77,-7/30) Hyperbolic Matrix(559,428,1054,807) (-36/47,-13/17) -> (9/17,8/15) Hyperbolic Matrix(309,236,1054,805) (-13/17,-16/21) -> (12/41,5/17) Hyperbolic Matrix(681,518,-1550,-1179) (-16/21,-3/4) -> (-29/66,-18/41) Hyperbolic Matrix(185,138,248,185) (-3/4,-23/31) -> (23/31,3/4) Hyperbolic Matrix(1241,920,1674,1241) (-23/31,-20/27) -> (20/27,23/31) Hyperbolic Matrix(497,368,-3348,-2479) (-20/27,-37/50) -> (-11/74,-4/27) Hyperbolic Matrix(1117,826,2852,2109) (-37/50,-17/23) -> (9/23,29/74) Hyperbolic Matrix(929,686,1426,1053) (-17/23,-31/42) -> (13/20,15/23) Hyperbolic Matrix(1055,778,-3782,-2789) (-31/42,-14/19) -> (-12/43,-29/104) Hyperbolic Matrix(1177,866,-2108,-1551) (-14/19,-25/34) -> (-19/34,-24/43) Hyperbolic Matrix(1301,956,2108,1549) (-25/34,-11/15) -> (29/47,21/34) Hyperbolic Matrix(1551,1136,3472,2543) (-11/15,-52/71) -> (4/9,21/47) Hyperbolic Matrix(4711,3450,-11346,-8309) (-52/71,-41/56) -> (-49/118,-22/53) Hyperbolic Matrix(2109,1544,2542,1861) (-41/56,-71/97) -> (29/35,5/6) Hyperbolic Matrix(7315,5354,9486,6943) (-71/97,-30/41) -> (64/83,27/35) Hyperbolic Matrix(309,226,-1612,-1179) (-30/41,-19/26) -> (-5/26,-4/21) Hyperbolic Matrix(247,180,-682,-497) (-19/26,-8/11) -> (-4/11,-13/36) Hyperbolic Matrix(681,494,-2480,-1799) (-8/11,-29/40) -> (-11/40,-14/51) Hyperbolic Matrix(1427,1034,-2480,-1797) (-29/40,-21/29) -> (-19/33,-23/40) Hyperbolic Matrix(619,448,-2914,-2109) (-21/29,-34/47) -> (-10/47,-7/33) Hyperbolic Matrix(2851,2062,-10974,-7937) (-34/47,-81/112) -> (-13/50,-20/77) Hyperbolic Matrix(10415,7532,16802,12151) (-81/112,-47/65) -> (75/121,31/50) Hyperbolic Matrix(869,628,2232,1613) (-47/65,-13/18) -> (7/18,23/59) Hyperbolic Matrix(1117,806,3782,2729) (-13/18,-44/61) -> (18/61,13/44) Hyperbolic Matrix(993,716,-3782,-2727) (-44/61,-31/43) -> (-5/19,-16/61) Hyperbolic Matrix(247,178,-1550,-1117) (-31/43,-18/25) -> (-4/25,-3/19) Hyperbolic Matrix(2293,1650,-3534,-2543) (-18/25,-41/57) -> (-37/57,-24/37) Hyperbolic Matrix(1179,848,1984,1427) (-41/57,-23/32) -> (19/32,3/5) Hyperbolic Matrix(187,134,434,311) (-23/32,-5/7) -> (3/7,13/30) Hyperbolic Matrix(309,220,434,309) (-5/7,-22/31) -> (22/31,5/7) Hyperbolic Matrix(1055,748,1488,1055) (-22/31,-17/24) -> (17/24,22/31) Hyperbolic Matrix(743,526,-4030,-2853) (-17/24,-46/65) -> (-12/65,-7/38) Hyperbolic Matrix(3101,2194,5084,3597) (-46/65,-29/41) -> (25/41,36/59) Hyperbolic Matrix(249,176,1054,745) (-29/41,-12/17) -> (4/17,5/21) Hyperbolic Matrix(1239,874,2108,1487) (-12/17,-43/61) -> (37/63,10/17) Hyperbolic Matrix(1053,742,3782,2665) (-43/61,-31/44) -> (5/18,17/61) Hyperbolic Matrix(2419,1704,-8184,-5765) (-31/44,-50/71) -> (-34/115,-13/44) Hyperbolic Matrix(3721,2620,-8804,-6199) (-50/71,-19/27) -> (-41/97,-30/71) Hyperbolic Matrix(3287,2312,3968,2791) (-19/27,-64/91) -> (24/29,29/35) Hyperbolic Matrix(19839,13952,28210,19839) (-64/91,-109/155) -> (109/155,64/91) Hyperbolic Matrix(13951,9810,19840,13951) (-109/155,-45/64) -> (45/64,109/155) Hyperbolic Matrix(2541,1786,3968,2789) (-45/64,-26/37) -> (16/25,41/64) Hyperbolic Matrix(2915,2048,5208,3659) (-26/37,-59/84) -> (47/84,14/25) Hyperbolic Matrix(869,610,-5828,-4091) (-33/47,-40/57) -> (-10/67,-7/47) Hyperbolic Matrix(371,260,-1240,-869) (-40/57,-7/10) -> (-3/10,-20/67) Hyperbolic Matrix(433,302,-2046,-1427) (-7/10,-23/33) -> (-7/33,-11/52) Hyperbolic Matrix(247,172,-1426,-993) (-23/33,-16/23) -> (-4/23,-5/29) Hyperbolic Matrix(495,344,1426,991) (-16/23,-41/59) -> (1/3,8/23) Hyperbolic Matrix(1549,1076,3658,2541) (-41/59,-25/36) -> (11/26,25/59) Hyperbolic Matrix(683,474,-2232,-1549) (-25/36,-9/13) -> (-15/49,-11/36) Hyperbolic Matrix(991,684,-1798,-1241) (-9/13,-20/29) -> (-16/29,-27/49) Hyperbolic Matrix(743,512,1798,1239) (-20/29,-11/16) -> (19/46,12/29) Hyperbolic Matrix(435,298,1178,807) (-11/16,-13/19) -> (7/19,17/46) Hyperbolic Matrix(1363,932,2356,1611) (-13/19,-28/41) -> (48/83,11/19) Hyperbolic Matrix(1117,762,2728,1861) (-28/41,-15/22) -> (9/22,34/83) Hyperbolic Matrix(683,464,-1550,-1053) (-15/22,-2/3) -> (-26/59,-37/84) Hyperbolic Matrix(435,284,1426,931) (-2/3,-15/23) -> (7/23,18/59) Hyperbolic Matrix(1053,686,1426,929) (-15/23,-13/20) -> (31/42,17/23) Hyperbolic Matrix(2107,1368,-7068,-4589) (-13/20,-37/57) -> (-17/57,-31/104) Hyperbolic Matrix(867,562,2294,1487) (-24/37,-11/17) -> (17/45,14/37) Hyperbolic Matrix(681,440,1054,681) (-11/17,-20/31) -> (20/31,11/17) Hyperbolic Matrix(559,360,868,559) (-20/31,-9/14) -> (9/14,20/31) Hyperbolic Matrix(187,120,-868,-557) (-9/14,-16/25) -> (-8/37,-3/14) Hyperbolic Matrix(185,118,-682,-435) (-16/25,-7/11) -> (-3/11,-10/37) Hyperbolic Matrix(63,40,-682,-433) (-7/11,-33/52) -> (-1/10,-1/11) Hyperbolic Matrix(6137,3894,9672,6137) (-33/52,-59/93) -> (59/93,33/52) Hyperbolic Matrix(4837,3068,7626,4837) (-59/93,-26/41) -> (26/41,59/93) Hyperbolic Matrix(2975,1886,5084,3223) (-26/41,-45/71) -> (31/53,24/41) Hyperbolic Matrix(433,274,1860,1177) (-19/30,-31/49) -> (3/13,7/30) Hyperbolic Matrix(993,628,1178,745) (-31/49,-12/19) -> (16/19,11/13) Hyperbolic Matrix(371,234,1178,743) (-12/19,-29/46) -> (5/16,6/19) Hyperbolic Matrix(311,196,1674,1055) (-29/46,-17/27) -> (5/27,3/16) Hyperbolic Matrix(185,116,-496,-311) (-17/27,-5/8) -> (-3/8,-13/35) Hyperbolic Matrix(61,38,496,309) (-5/8,-28/45) -> (2/17,1/8) Hyperbolic Matrix(807,502,2294,1427) (-28/45,-23/37) -> (13/37,6/17) Hyperbolic Matrix(1365,848,1798,1117) (-23/37,-41/66) -> (3/4,19/25) Hyperbolic Matrix(3101,1926,-8184,-5083) (-41/66,-18/29) -> (-36/95,-25/66) Hyperbolic Matrix(745,462,-1798,-1115) (-18/29,-13/21) -> (-17/41,-12/29) Hyperbolic Matrix(1675,1036,-7316,-4525) (-13/21,-47/76) -> (-11/48,-19/83) Hyperbolic Matrix(5395,3336,-14136,-8741) (-47/76,-34/55) -> (-50/131,-29/76) Hyperbolic Matrix(1799,1112,2108,1303) (-34/55,-55/89) -> (23/27,6/7) Hyperbolic Matrix(12089,7470,16554,10229) (-55/89,-76/123) -> (46/63,65/89) Hyperbolic Matrix(2169,1340,5518,3409) (-76/123,-21/34) -> (11/28,24/61) Hyperbolic Matrix(1549,956,2108,1301) (-21/34,-29/47) -> (11/15,25/34) Hyperbolic Matrix(373,230,806,497) (-29/47,-8/13) -> (6/13,7/15) Hyperbolic Matrix(495,304,806,495) (-8/13,-19/31) -> (19/31,8/13) Hyperbolic Matrix(683,418,1116,683) (-19/31,-11/18) -> (11/18,19/31) Hyperbolic Matrix(619,378,2232,1363) (-11/18,-36/59) -> (18/65,5/18) Hyperbolic Matrix(3597,2194,5084,3101) (-36/59,-25/41) -> (29/41,46/65) Hyperbolic Matrix(3347,2040,-7936,-4837) (-25/41,-39/64) -> (-27/64,-35/83) Hyperbolic Matrix(2233,1360,2852,1737) (-39/64,-14/23) -> (18/23,47/60) Hyperbolic Matrix(743,452,2852,1735) (-14/23,-45/74) -> (13/50,6/23) Hyperbolic Matrix(125,76,-1426,-867) (-45/74,-31/51) -> (-1/11,-1/12) Hyperbolic Matrix(2109,1280,5518,3349) (-17/28,-37/61) -> (47/123,13/34) Hyperbolic Matrix(2603,1578,-6138,-3721) (-37/61,-20/33) -> (-14/33,-53/125) Hyperbolic Matrix(63,38,310,187) (-20/33,-3/5) -> (1/5,6/29) Hyperbolic Matrix(1427,848,1984,1179) (-3/5,-19/32) -> (23/32,41/57) Hyperbolic Matrix(3101,1840,7316,4341) (-19/32,-35/59) -> (25/59,39/92) Hyperbolic Matrix(2729,1618,3348,1985) (-35/59,-16/27) -> (22/27,53/65) Hyperbolic Matrix(311,184,1364,807) (-16/27,-13/22) -> (5/22,8/35) Hyperbolic Matrix(867,512,2728,1611) (-13/22,-49/83) -> (13/41,7/22) Hyperbolic Matrix(2975,1756,-11346,-6697) (-49/83,-36/61) -> (-16/61,-27/103) Hyperbolic Matrix(9053,5342,12400,7317) (-36/61,-59/100) -> (73/100,46/63) Hyperbolic Matrix(495,292,3782,2231) (-59/100,-23/39) -> (3/23,5/38) Hyperbolic Matrix(869,512,1054,621) (-23/39,-10/17) -> (14/17,19/23) Hyperbolic Matrix(1487,874,2108,1239) (-10/17,-37/63) -> (43/61,12/17) Hyperbolic Matrix(11843,6954,16368,9611) (-37/63,-64/109) -> (34/47,89/123) Hyperbolic Matrix(19839,11648,33790,19839) (-64/109,-91/155) -> (91/155,64/109) Hyperbolic Matrix(8371,4914,14260,8371) (-91/155,-27/46) -> (27/46,91/155) Hyperbolic Matrix(559,328,1798,1055) (-27/46,-17/29) -> (9/29,5/16) Hyperbolic Matrix(683,400,-1798,-1053) (-17/29,-7/12) -> (-19/50,-11/29) Hyperbolic Matrix(433,252,744,433) (-7/12,-18/31) -> (18/31,7/12) Hyperbolic Matrix(683,396,1178,683) (-18/31,-11/19) -> (11/19,18/31) Hyperbolic Matrix(3099,1792,-7936,-4589) (-11/19,-37/64) -> (-25/64,-41/105) Hyperbolic Matrix(557,322,1178,681) (-37/64,-26/45) -> (8/17,1/2) Hyperbolic Matrix(187,108,1612,931) (-26/45,-41/71) -> (1/9,2/17) Hyperbolic Matrix(2605,1504,-8804,-5083) (-41/71,-15/26) -> (-29/98,-21/71) Hyperbolic Matrix(1117,644,3658,2109) (-15/26,-34/59) -> (18/59,11/36) Hyperbolic Matrix(2975,1714,7316,4215) (-34/59,-53/92) -> (13/32,24/59) Hyperbolic Matrix(2417,1392,-6138,-3535) (-53/92,-19/33) -> (-13/33,-37/94) Hyperbolic Matrix(373,214,434,249) (-23/40,-4/7) -> (6/7,19/22) Hyperbolic Matrix(123,70,434,247) (-4/7,-17/30) -> (9/32,2/7) Hyperbolic Matrix(311,176,1426,807) (-17/30,-13/23) -> (5/23,7/32) Hyperbolic Matrix(433,244,-992,-559) (-13/23,-9/16) -> (-7/16,-17/39) Hyperbolic Matrix(805,452,992,557) (-9/16,-23/41) -> (17/21,13/16) Hyperbolic Matrix(371,208,-1550,-869) (-23/41,-14/25) -> (-6/25,-5/21) Hyperbolic Matrix(497,278,-1550,-867) (-14/25,-33/59) -> (-1/3,-8/25) Hyperbolic Matrix(6137,3432,10974,6137) (-33/59,-52/93) -> (52/93,33/59) Hyperbolic Matrix(3535,1976,6324,3535) (-52/93,-19/34) -> (19/34,52/93) Hyperbolic Matrix(61,34,-558,-311) (-24/43,-5/9) -> (-1/9,-2/19) Hyperbolic Matrix(929,514,3472,1921) (-5/9,-26/47) -> (4/15,19/71) Hyperbolic Matrix(311,172,2356,1303) (-26/47,-21/38) -> (5/38,2/15) Hyperbolic Matrix(373,206,1798,993) (-21/38,-16/29) -> (6/29,5/24) Hyperbolic Matrix(681,374,1240,681) (-11/20,-17/31) -> (17/31,11/20) Hyperbolic Matrix(373,204,682,373) (-17/31,-6/11) -> (6/11,17/31) Hyperbolic Matrix(125,68,-682,-371) (-6/11,-13/24) -> (-7/38,-2/11) Hyperbolic Matrix(1239,670,-4588,-2481) (-13/24,-20/37) -> (-10/37,-27/100) Hyperbolic Matrix(2851,1540,-6200,-3349) (-20/37,-27/50) -> (-23/50,-40/87) Hyperbolic Matrix(371,200,-1612,-869) (-27/50,-7/13) -> (-3/13,-17/74) Hyperbolic Matrix(309,166,806,433) (-7/13,-8/15) -> (18/47,5/13) Hyperbolic Matrix(807,428,1054,559) (-8/15,-9/17) -> (13/17,36/47) Hyperbolic Matrix(497,262,1178,621) (-9/17,-1/2) -> (27/64,19/45) Hyperbolic Matrix(681,322,1178,557) (-1/2,-8/17) -> (26/45,37/64) Hyperbolic Matrix(247,116,1054,495) (-8/17,-7/15) -> (11/47,4/17) Hyperbolic Matrix(497,230,806,373) (-7/15,-6/13) -> (8/13,29/47) Hyperbolic Matrix(743,342,806,371) (-29/63,-23/50) -> (11/12,1/1) Hyperbolic Matrix(8309,3820,15376,7069) (-40/87,-57/124) -> (67/124,20/37) Hyperbolic Matrix(8307,3818,15376,7067) (-57/124,-17/37) -> (47/87,67/124) Hyperbolic Matrix(1363,626,-3782,-1737) (-17/37,-11/24) -> (-31/86,-9/25) Hyperbolic Matrix(869,398,-2976,-1363) (-11/24,-16/35) -> (-26/89,-7/24) Hyperbolic Matrix(309,140,682,309) (-5/11,-14/31) -> (14/31,5/11) Hyperbolic Matrix(559,252,1240,559) (-14/31,-9/20) -> (9/20,14/31) Hyperbolic Matrix(187,84,-1240,-557) (-9/20,-13/29) -> (-5/33,-3/20) Hyperbolic Matrix(1425,638,1798,805) (-13/29,-17/38) -> (19/24,23/29) Hyperbolic Matrix(2045,914,2356,1053) (-17/38,-21/47) -> (13/15,33/38) Hyperbolic Matrix(2543,1136,3472,1551) (-21/47,-4/9) -> (52/71,11/15) Hyperbolic Matrix(557,246,-2108,-931) (-4/9,-15/34) -> (-9/34,-14/53) Hyperbolic Matrix(2789,1230,6324,2789) (-15/34,-41/93) -> (41/93,15/34) Hyperbolic Matrix(4837,2132,10974,4837) (-41/93,-26/59) -> (26/59,41/93) Hyperbolic Matrix(1549,682,5208,2293) (-37/84,-11/25) -> (11/37,25/84) Hyperbolic Matrix(2543,1118,4092,1799) (-11/25,-29/66) -> (41/66,23/37) Hyperbolic Matrix(187,82,992,435) (-18/41,-7/16) -> (3/16,4/21) Hyperbolic Matrix(2171,946,3844,1675) (-17/39,-27/62) -> (35/62,13/23) Hyperbolic Matrix(2169,944,3844,1673) (-27/62,-10/23) -> (22/39,35/62) Hyperbolic Matrix(1115,484,1426,619) (-10/23,-13/30) -> (25/32,18/23) Hyperbolic Matrix(311,134,434,187) (-13/30,-3/7) -> (5/7,23/32) Hyperbolic Matrix(683,290,-2480,-1053) (-3/7,-14/33) -> (-8/29,-19/69) Hyperbolic Matrix(19779,8386,32612,13827) (-53/125,-92/217) -> (94/155,37/61) Hyperbolic Matrix(21017,8910,34658,14693) (-92/217,-39/92) -> (57/94,94/155) Hyperbolic Matrix(4341,1840,7316,3101) (-39/92,-25/59) -> (35/59,19/32) Hyperbolic Matrix(2541,1076,3658,1549) (-25/59,-11/26) -> (25/36,41/59) Hyperbolic Matrix(3533,1494,4836,2045) (-11/26,-41/97) -> (65/89,19/26) Hyperbolic Matrix(1425,602,1612,681) (-30/71,-19/45) -> (15/17,8/9) Hyperbolic Matrix(621,262,1178,497) (-19/45,-27/64) -> (1/2,9/17) Hyperbolic Matrix(745,314,2356,993) (-35/83,-8/19) -> (6/19,13/41) Hyperbolic Matrix(495,208,1178,495) (-8/19,-13/31) -> (13/31,8/19) Hyperbolic Matrix(311,130,744,311) (-13/31,-5/12) -> (5/12,13/31) Hyperbolic Matrix(5829,2422,8060,3349) (-5/12,-27/65) -> (47/65,81/112) Hyperbolic Matrix(6757,2806,-25234,-10479) (-27/65,-49/118) -> (-15/56,-49/183) Hyperbolic Matrix(1861,772,5084,2109) (-22/53,-17/41) -> (15/41,26/71) Hyperbolic Matrix(1239,512,1798,743) (-12/29,-19/46) -> (11/16,20/29) Hyperbolic Matrix(5889,2432,14260,5889) (-19/46,-64/155) -> (64/155,19/46) Hyperbolic Matrix(13951,5760,33790,13951) (-64/155,-45/109) -> (45/109,64/155) Hyperbolic Matrix(7563,3122,9610,3967) (-45/109,-26/63) -> (48/61,37/47) Hyperbolic Matrix(621,256,2108,869) (-26/63,-7/17) -> (5/17,18/61) Hyperbolic Matrix(185,76,1054,433) (-7/17,-16/39) -> (4/23,3/17) Hyperbolic Matrix(3287,1348,3782,1551) (-16/39,-41/100) -> (33/38,20/23) Hyperbolic Matrix(7255,2974,11346,4651) (-41/100,-25/61) -> (39/61,55/86) Hyperbolic Matrix(4217,1728,-15128,-6199) (-25/61,-34/83) -> (-46/165,-17/61) Hyperbolic Matrix(1861,762,2728,1117) (-34/83,-9/22) -> (15/22,28/41) Hyperbolic Matrix(1053,430,1364,557) (-9/22,-11/27) -> (27/35,17/22) Hyperbolic Matrix(4959,2018,7006,2851) (-11/27,-24/59) -> (46/65,63/89) Hyperbolic Matrix(4215,1714,7316,2975) (-24/59,-13/32) -> (53/92,34/59) Hyperbolic Matrix(557,226,1984,805) (-13/32,-2/5) -> (16/57,9/32) Hyperbolic Matrix(247,98,310,123) (-2/5,-13/33) -> (23/29,4/5) Hyperbolic Matrix(19965,7858,34658,13641) (-37/94,-61/155) -> (125/217,53/92) Hyperbolic Matrix(18785,7392,32612,12833) (-61/155,-24/61) -> (72/125,125/217) Hyperbolic Matrix(3409,1340,5518,2169) (-24/61,-11/28) -> (21/34,76/123) Hyperbolic Matrix(311,122,-1736,-681) (-11/28,-9/23) -> (-7/39,-5/28) Hyperbolic Matrix(2543,994,3968,1551) (-9/23,-25/64) -> (41/64,25/39) Hyperbolic Matrix(3473,1356,5084,1985) (-41/105,-16/41) -> (28/41,13/19) Hyperbolic Matrix(1487,580,5084,1983) (-16/41,-23/59) -> (19/65,12/41) Hyperbolic Matrix(1613,628,2232,869) (-23/59,-7/18) -> (13/18,47/65) Hyperbolic Matrix(433,168,1116,433) (-7/18,-12/31) -> (12/31,7/18) Hyperbolic Matrix(311,120,806,311) (-12/31,-5/13) -> (5/13,12/31) Hyperbolic Matrix(433,166,806,309) (-5/13,-18/47) -> (8/15,7/13) Hyperbolic Matrix(559,214,2108,807) (-18/47,-13/34) -> (9/34,4/15) Hyperbolic Matrix(3349,1280,5518,2109) (-13/34,-47/123) -> (37/61,17/28) Hyperbolic Matrix(11097,4240,17360,6633) (-47/123,-34/89) -> (62/97,39/61) Hyperbolic Matrix(309,118,2108,805) (-34/89,-21/55) -> (1/7,4/27) Hyperbolic Matrix(21391,8166,34596,13207) (-21/55,-71/186) -> (115/186,81/131) Hyperbolic Matrix(21389,8164,34596,13205) (-71/186,-50/131) -> (34/55,115/186) Hyperbolic Matrix(4401,1678,6014,2293) (-37/97,-8/21) -> (30/41,71/97) Hyperbolic Matrix(2419,920,3100,1179) (-8/21,-27/71) -> (7/9,32/41) Hyperbolic Matrix(4713,1792,-17608,-6695) (-27/71,-46/121) -> (-34/127,-19/71) Hyperbolic Matrix(4651,1768,16802,6387) (-46/121,-19/50) -> (31/112,18/65) Hyperbolic Matrix(9549,3620,15376,5829) (-11/29,-47/124) -> (77/124,59/95) Hyperbolic Matrix(9547,3618,15376,5827) (-47/124,-36/95) -> (18/29,77/124) Hyperbolic Matrix(2293,868,4092,1549) (-25/66,-14/37) -> (14/25,37/66) Hyperbolic Matrix(1487,562,2294,867) (-14/37,-17/45) -> (11/17,24/37) Hyperbolic Matrix(435,164,496,187) (-17/45,-3/8) -> (7/8,15/17) Hyperbolic Matrix(2419,898,3844,1427) (-13/35,-23/62) -> (39/62,17/27) Hyperbolic Matrix(2417,896,3844,1425) (-23/62,-10/27) -> (22/35,39/62) Hyperbolic Matrix(1363,504,1674,619) (-10/27,-17/46) -> (13/16,22/27) Hyperbolic Matrix(807,298,1178,435) (-17/46,-7/19) -> (13/19,11/16) Hyperbolic Matrix(185,68,1178,433) (-7/19,-18/49) -> (2/13,3/19) Hyperbolic Matrix(1427,524,1860,683) (-18/49,-11/30) -> (23/30,10/13) Hyperbolic Matrix(557,204,-2542,-931) (-11/30,-15/41) -> (-9/41,-7/32) Hyperbolic Matrix(2789,1020,7626,2789) (-15/41,-34/93) -> (34/93,15/41) Hyperbolic Matrix(3535,1292,9672,3535) (-34/93,-19/52) -> (19/52,34/93) Hyperbolic Matrix(247,90,-1364,-497) (-23/63,-4/11) -> (-2/11,-11/61) Hyperbolic Matrix(7377,2662,10478,3781) (-13/36,-35/97) -> (19/27,69/98) Hyperbolic Matrix(10727,3870,17360,6263) (-35/97,-22/61) -> (76/123,55/89) Hyperbolic Matrix(6695,2414,11346,4091) (-22/61,-31/86) -> (59/100,36/61) Hyperbolic Matrix(1179,424,3968,1427) (-9/25,-23/64) -> (19/64,11/37) Hyperbolic Matrix(2417,868,3968,1425) (-23/64,-14/39) -> (14/23,39/64) Hyperbolic Matrix(309,110,868,309) (-5/14,-11/31) -> (11/31,5/14) Hyperbolic Matrix(373,132,1054,373) (-11/31,-6/17) -> (6/17,11/31) Hyperbolic Matrix(1427,502,2294,807) (-6/17,-13/37) -> (23/37,28/45) Hyperbolic Matrix(991,348,-3534,-1241) (-13/37,-7/20) -> (-23/82,-7/25) Hyperbolic Matrix(373,130,1426,497) (-7/20,-8/23) -> (6/23,11/42) Hyperbolic Matrix(991,344,1426,495) (-8/23,-1/3) -> (41/59,16/23) Hyperbolic Matrix(1179,376,1364,435) (-8/25,-7/22) -> (19/22,32/37) Hyperbolic Matrix(1611,512,2728,867) (-7/22,-13/41) -> (49/83,13/22) Hyperbolic Matrix(3099,982,5084,1611) (-13/41,-6/19) -> (64/105,25/41) Hyperbolic Matrix(743,234,1178,371) (-6/19,-5/16) -> (29/46,12/19) Hyperbolic Matrix(1055,328,1798,559) (-5/16,-9/29) -> (17/29,27/46) Hyperbolic Matrix(123,38,-806,-249) (-9/29,-4/13) -> (-2/13,-5/33) Hyperbolic Matrix(2667,818,3844,1179) (-4/13,-19/62) -> (43/62,34/49) Hyperbolic Matrix(2665,816,3844,1177) (-19/62,-15/49) -> (9/13,43/62) Hyperbolic Matrix(2109,644,3658,1117) (-11/36,-18/59) -> (34/59,15/26) Hyperbolic Matrix(931,284,1426,435) (-18/59,-7/23) -> (15/23,2/3) Hyperbolic Matrix(7625,2314,10416,3161) (-17/56,-27/89) -> (71/97,41/56) Hyperbolic Matrix(6323,1918,8990,2727) (-27/89,-10/33) -> (64/91,19/27) Hyperbolic Matrix(867,262,-3286,-993) (-13/43,-3/10) -> (-19/72,-5/19) Hyperbolic Matrix(10789,3220,15376,4589) (-20/67,-37/124) -> (87/124,40/57) Hyperbolic Matrix(10787,3218,15376,4587) (-37/124,-17/57) -> (47/67,87/124) Hyperbolic Matrix(309,92,-2294,-683) (-14/47,-11/37) -> (-5/37,-2/15) Hyperbolic Matrix(3595,1068,4588,1363) (-11/37,-19/64) -> (47/60,29/37) Hyperbolic Matrix(5889,1748,19840,5889) (-19/64,-46/155) -> (46/155,19/64) Hyperbolic Matrix(8371,2484,28210,8371) (-46/155,-27/91) -> (27/91,46/155) Hyperbolic Matrix(6263,1858,8990,2667) (-27/91,-8/27) -> (62/89,23/33) Hyperbolic Matrix(6697,1982,10478,3101) (-8/27,-29/98) -> (23/36,62/97) Hyperbolic Matrix(24367,7206,34596,10231) (-21/71,-55/186) -> (131/186,81/115) Hyperbolic Matrix(24365,7204,34596,10229) (-55/186,-34/115) -> (50/71,131/186) Hyperbolic Matrix(2729,806,3782,1117) (-13/44,-18/61) -> (44/61,13/18) Hyperbolic Matrix(869,256,2108,621) (-18/61,-5/17) -> (7/17,26/63) Hyperbolic Matrix(805,236,1054,309) (-5/17,-12/41) -> (16/21,13/17) Hyperbolic Matrix(1983,580,5084,1487) (-12/41,-19/65) -> (23/59,16/41) Hyperbolic Matrix(4155,1214,7006,2047) (-19/65,-26/89) -> (16/27,35/59) Hyperbolic Matrix(433,126,1488,433) (-7/24,-9/31) -> (9/31,7/24) Hyperbolic Matrix(125,36,434,125) (-9/31,-2/7) -> (2/7,9/31) Hyperbolic Matrix(247,70,434,123) (-2/7,-9/32) -> (17/30,4/7) Hyperbolic Matrix(805,226,1984,557) (-9/32,-16/57) -> (2/5,13/32) Hyperbolic Matrix(991,278,-6634,-1861) (-16/57,-23/82) -> (-3/20,-10/67) Hyperbolic Matrix(2603,728,3100,867) (-7/25,-26/93) -> (26/31,21/25) Hyperbolic Matrix(2233,624,2666,745) (-26/93,-19/68) -> (5/6,26/31) Hyperbolic Matrix(5767,1608,-22010,-6137) (-29/104,-46/165) -> (-38/145,-11/42) Hyperbolic Matrix(2665,742,3782,1053) (-17/61,-5/18) -> (31/44,43/61) Hyperbolic Matrix(1363,378,2232,619) (-5/18,-18/65) -> (36/59,11/18) Hyperbolic Matrix(4711,1304,8060,2231) (-18/65,-31/112) -> (7/12,38/65) Hyperbolic Matrix(1301,360,-8742,-2419) (-31/112,-13/47) -> (-7/47,-11/74) Hyperbolic Matrix(6757,1868,16368,4525) (-13/47,-34/123) -> (26/63,45/109) Hyperbolic Matrix(2417,668,10540,2913) (-34/123,-21/76) -> (11/48,14/61) Hyperbolic Matrix(247,68,1798,495) (-19/69,-11/40) -> (3/22,1/7) Hyperbolic Matrix(2791,766,3844,1055) (-14/51,-17/62) -> (45/62,8/11) Hyperbolic Matrix(2789,764,3844,1053) (-17/62,-3/11) -> (37/51,45/62) Hyperbolic Matrix(5083,1372,12400,3347) (-27/100,-17/63) -> (25/61,41/100) Hyperbolic Matrix(6325,1706,16554,4465) (-17/63,-24/89) -> (34/89,47/123) Hyperbolic Matrix(2791,752,4836,1303) (-24/89,-7/26) -> (15/26,56/97) Hyperbolic Matrix(2603,700,3224,867) (-7/26,-25/93) -> (25/31,21/26) Hyperbolic Matrix(2047,550,2542,683) (-25/93,-18/67) -> (4/5,25/31) Hyperbolic Matrix(3721,998,6014,1613) (-11/41,-26/97) -> (60/97,13/21) Hyperbolic Matrix(7255,1944,10416,2791) (-26/97,-15/56) -> (39/56,62/89) Hyperbolic Matrix(70371,18842,96100,25731) (-49/183,-83/310) -> (227/310,93/127) Hyperbolic Matrix(70369,18840,96100,25729) (-83/310,-34/127) -> (134/183,227/310) Hyperbolic Matrix(1921,514,3472,929) (-19/71,-4/15) -> (26/47,5/9) Hyperbolic Matrix(807,214,2108,559) (-4/15,-9/34) -> (13/34,18/47) Hyperbolic Matrix(45385,11896,61504,16121) (-27/103,-65/248) -> (183/248,107/145) Hyperbolic Matrix(45383,11894,61504,16119) (-65/248,-38/145) -> (76/103,183/248) Hyperbolic Matrix(497,130,1426,373) (-11/42,-6/23) -> (8/23,7/20) Hyperbolic Matrix(2543,662,3100,807) (-6/23,-13/50) -> (41/50,32/39) Hyperbolic Matrix(433,112,1674,433) (-7/27,-8/31) -> (8/31,7/27) Hyperbolic Matrix(63,16,248,63) (-8/31,-1/4) -> (1/4,8/31) Hyperbolic Matrix(681,164,1798,433) (-1/4,-6/25) -> (14/37,25/66) Hyperbolic Matrix(745,176,1054,249) (-5/21,-4/17) -> (12/17,29/41) Hyperbolic Matrix(495,116,1054,247) (-4/17,-11/47) -> (7/15,8/17) Hyperbolic Matrix(11781,2756,15376,3597) (-11/47,-29/124) -> (95/124,59/77) Hyperbolic Matrix(11779,2754,15376,3595) (-29/124,-18/77) -> (36/47,95/124) Hyperbolic Matrix(1177,274,1860,433) (-7/30,-3/13) -> (31/49,19/30) Hyperbolic Matrix(6201,1424,7564,1737) (-17/74,-14/61) -> (50/61,41/50) Hyperbolic Matrix(2975,682,3782,867) (-14/61,-11/48) -> (11/14,48/61) Hyperbolic Matrix(2543,582,9486,2171) (-19/83,-8/35) -> (26/97,11/41) Hyperbolic Matrix(807,184,1364,311) (-8/35,-5/22) -> (13/22,16/27) Hyperbolic Matrix(309,70,1364,309) (-5/22,-7/31) -> (7/31,5/22) Hyperbolic Matrix(125,28,558,125) (-7/31,-2/9) -> (2/9,7/31) Hyperbolic Matrix(1921,422,3100,681) (-2/9,-9/41) -> (13/21,44/71) Hyperbolic Matrix(807,176,1426,311) (-7/32,-5/23) -> (13/23,17/30) Hyperbolic Matrix(1115,242,2852,619) (-5/23,-13/60) -> (25/64,9/23) Hyperbolic Matrix(3225,698,4588,993) (-13/60,-8/37) -> (26/37,45/64) Hyperbolic Matrix(2915,622,3782,807) (-3/14,-13/61) -> (47/61,37/48) Hyperbolic Matrix(5643,1202,9610,2047) (-13/61,-10/47) -> (64/109,37/63) Hyperbolic Matrix(123,26,-1178,-249) (-11/52,-4/19) -> (-2/19,-1/10) Hyperbolic Matrix(3039,638,3844,807) (-4/19,-13/62) -> (49/62,34/43) Hyperbolic Matrix(3037,636,3844,805) (-13/62,-9/43) -> (15/19,49/62) Hyperbolic Matrix(993,206,1798,373) (-5/24,-6/29) -> (16/29,21/38) Hyperbolic Matrix(187,38,310,63) (-6/29,-1/5) -> (3/5,20/33) Hyperbolic Matrix(1859,362,2542,495) (-1/5,-6/31) -> (68/93,49/67) Hyperbolic Matrix(2357,454,3224,621) (-6/31,-5/26) -> (19/26,68/93) Hyperbolic Matrix(435,82,992,187) (-4/21,-3/16) -> (7/16,18/41) Hyperbolic Matrix(1055,196,1674,311) (-3/16,-5/27) -> (17/27,29/46) Hyperbolic Matrix(1363,252,3348,619) (-5/27,-12/65) -> (24/59,11/27) Hyperbolic Matrix(5827,1050,7564,1363) (-11/61,-9/50) -> (57/74,47/61) Hyperbolic Matrix(2293,412,3100,557) (-9/50,-7/39) -> (17/23,37/50) Hyperbolic Matrix(3163,562,3844,683) (-8/45,-11/62) -> (51/62,14/17) Hyperbolic Matrix(3161,560,3844,681) (-11/62,-3/17) -> (37/45,51/62) Hyperbolic Matrix(433,76,1054,185) (-3/17,-4/23) -> (16/39,7/17) Hyperbolic Matrix(1177,202,3968,681) (-5/29,-6/35) -> (8/27,27/91) Hyperbolic Matrix(681,116,2542,433) (-6/35,-1/6) -> (15/56,26/97) Hyperbolic Matrix(1921,312,2666,433) (-1/6,-5/31) -> (67/93,49/68) Hyperbolic Matrix(2233,358,3100,497) (-5/31,-4/25) -> (18/25,67/93) Hyperbolic Matrix(433,68,1178,185) (-3/19,-2/13) -> (18/49,7/19) Hyperbolic Matrix(805,118,2108,309) (-4/27,-1/7) -> (21/55,34/89) Hyperbolic Matrix(185,26,434,61) (-1/7,-3/22) -> (17/40,3/7) Hyperbolic Matrix(929,126,1364,185) (-3/22,-5/37) -> (17/25,15/22) Hyperbolic Matrix(1303,172,2356,311) (-2/15,-5/38) -> (21/38,26/47) Hyperbolic Matrix(2231,292,3782,495) (-5/38,-3/23) -> (23/39,59/100) Hyperbolic Matrix(185,24,1426,185) (-3/23,-4/31) -> (4/31,3/23) Hyperbolic Matrix(63,8,496,63) (-4/31,-1/8) -> (1/8,4/31) Hyperbolic Matrix(309,38,496,61) (-1/8,-2/17) -> (28/45,5/8) Hyperbolic Matrix(931,108,1612,187) (-2/17,-1/9) -> (41/71,26/45) Hyperbolic Matrix(435,34,806,63) (-1/12,0/1) -> (34/63,27/50) Hyperbolic Matrix(433,-40,682,-63) (0/1,1/10) -> (33/52,40/63) Hyperbolic Matrix(867,-92,1178,-125) (1/10,1/9) -> (39/53,53/72) Hyperbolic Matrix(683,-92,2294,-309) (2/15,3/22) -> (25/84,14/47) Hyperbolic Matrix(2479,-368,3348,-497) (4/27,7/47) -> (57/77,20/27) Hyperbolic Matrix(4091,-610,5828,-869) (7/47,3/20) -> (73/104,33/47) Hyperbolic Matrix(557,-84,1240,-187) (3/20,2/13) -> (22/49,9/20) Hyperbolic Matrix(1117,-178,1550,-247) (3/19,1/6) -> (49/68,31/43) Hyperbolic Matrix(993,-172,1426,-247) (1/6,4/23) -> (16/23,39/56) Hyperbolic Matrix(1427,-254,1736,-309) (3/17,5/28) -> (23/28,37/45) Hyperbolic Matrix(681,-122,1736,-311) (5/28,2/11) -> (20/51,11/28) Hyperbolic Matrix(371,-68,682,-125) (2/11,5/27) -> (19/35,6/11) Hyperbolic Matrix(1179,-226,1612,-309) (4/21,1/5) -> (49/67,30/41) Hyperbolic Matrix(1177,-246,1488,-311) (5/24,4/19) -> (34/43,19/24) Hyperbolic Matrix(1427,-302,2046,-433) (4/19,7/33) -> (23/33,30/43) Hyperbolic Matrix(2109,-448,2914,-619) (7/33,3/14) -> (55/76,21/29) Hyperbolic Matrix(557,-120,868,-187) (3/14,5/23) -> (25/39,9/14) Hyperbolic Matrix(931,-204,2542,-557) (7/32,2/9) -> (26/71,11/30) Hyperbolic Matrix(4525,-1036,7316,-1675) (8/35,11/48) -> (47/76,60/97) Hyperbolic Matrix(869,-200,1612,-371) (14/61,3/13) -> (7/13,34/63) Hyperbolic Matrix(2851,-666,3720,-869) (7/30,11/47) -> (59/77,23/30) Hyperbolic Matrix(869,-208,1550,-371) (5/21,1/4) -> (37/66,23/41) Hyperbolic Matrix(2851,-740,3348,-869) (7/27,13/50) -> (63/74,23/27) Hyperbolic Matrix(2727,-716,3782,-993) (11/42,5/19) -> (31/43,75/104) Hyperbolic Matrix(931,-246,2108,-557) (5/19,9/34) -> (15/34,19/43) Hyperbolic Matrix(6635,-1776,11346,-3037) (19/71,15/56) -> (69/118,31/53) Hyperbolic Matrix(1303,-350,1612,-433) (11/41,7/26) -> (21/26,17/21) Hyperbolic Matrix(435,-118,682,-185) (7/26,3/11) -> (7/11,23/36) Hyperbolic Matrix(1799,-494,2480,-681) (3/11,11/40) -> (29/40,37/51) Hyperbolic Matrix(1053,-290,2480,-683) (11/40,8/29) -> (14/33,17/40) Hyperbolic Matrix(2295,-634,2914,-805) (8/29,13/47) -> (37/47,26/33) Hyperbolic Matrix(8123,-2248,10974,-3037) (13/47,31/112) -> (37/50,57/77) Hyperbolic Matrix(2789,-778,3782,-1055) (17/61,12/43) -> (14/19,45/61) Hyperbolic Matrix(1303,-364,1550,-433) (12/43,7/25) -> (21/25,16/19) Hyperbolic Matrix(1241,-348,3534,-991) (7/25,16/57) -> (20/57,13/37) Hyperbolic Matrix(3287,-960,4030,-1177) (7/24,19/65) -> (53/65,31/38) Hyperbolic Matrix(5765,-1704,8184,-2419) (13/44,21/71) -> (81/115,31/44) Hyperbolic Matrix(5083,-1504,8804,-2605) (21/71,8/27) -> (56/97,41/71) Hyperbolic Matrix(4959,-1478,5828,-1737) (14/47,17/57) -> (57/67,40/47) Hyperbolic Matrix(869,-260,1240,-371) (17/57,3/10) -> (7/10,47/67) Hyperbolic Matrix(1613,-488,2046,-619) (3/10,10/33) -> (26/33,41/52) Hyperbolic Matrix(1179,-358,1426,-433) (10/33,7/23) -> (19/23,24/29) Hyperbolic Matrix(1549,-474,2232,-683) (11/36,4/13) -> (34/49,25/36) Hyperbolic Matrix(807,-250,1798,-557) (4/13,9/29) -> (13/29,22/49) Hyperbolic Matrix(867,-278,1550,-497) (7/22,1/3) -> (33/59,47/84) Hyperbolic Matrix(4961,-1740,7068,-2479) (7/20,20/57) -> (40/57,73/104) Hyperbolic Matrix(681,-244,868,-311) (5/14,9/25) -> (29/37,11/14) Hyperbolic Matrix(497,-180,682,-247) (9/25,4/11) -> (8/11,27/37) Hyperbolic Matrix(619,-226,682,-249) (4/11,19/52) -> (9/10,10/11) Hyperbolic Matrix(311,-116,496,-185) (10/27,3/8) -> (5/8,22/35) Hyperbolic Matrix(5083,-1926,8184,-3101) (25/66,11/29) -> (59/95,41/66) Hyperbolic Matrix(1053,-400,1798,-683) (11/29,8/21) -> (24/41,17/29) Hyperbolic Matrix(5641,-2152,7316,-2791) (8/21,29/76) -> (37/48,64/83) Hyperbolic Matrix(8741,-3336,14136,-5395) (29/76,21/55) -> (81/131,47/76) Hyperbolic Matrix(4589,-1792,7936,-3099) (16/41,25/64) -> (37/64,48/83) Hyperbolic Matrix(1301,-510,1426,-559) (29/74,20/51) -> (10/11,11/12) Hyperbolic Matrix(3535,-1392,6138,-2417) (24/61,13/33) -> (19/33,72/125) Hyperbolic Matrix(8371,-3430,11346,-4649) (34/83,25/61) -> (45/61,76/103) Hyperbolic Matrix(1115,-462,1798,-745) (12/29,5/12) -> (31/50,18/29) Hyperbolic Matrix(4837,-2040,7936,-3347) (8/19,27/64) -> (39/64,64/105) Hyperbolic Matrix(6199,-2620,8804,-3721) (30/71,11/26) -> (69/98,50/71) Hyperbolic Matrix(3721,-1578,6138,-2603) (39/92,14/33) -> (20/33,57/94) Hyperbolic Matrix(559,-244,992,-433) (10/23,7/16) -> (9/16,22/39) Hyperbolic Matrix(1179,-518,1550,-681) (18/41,11/25) -> (19/25,16/21) Hyperbolic Matrix(1053,-464,1550,-683) (11/25,26/59) -> (2/3,17/25) Hyperbolic Matrix(497,-220,558,-247) (19/43,4/9) -> (8/9,17/19) Hyperbolic Matrix(557,-254,682,-311) (5/11,11/24) -> (31/38,9/11) Hyperbolic Matrix(3349,-1538,4588,-2107) (11/24,17/37) -> (27/37,73/100) Hyperbolic Matrix(3349,-1540,6200,-2851) (17/37,23/50) -> (27/50,47/87) Hyperbolic Matrix(1241,-572,1612,-743) (23/50,6/13) -> (10/13,57/74) Hyperbolic Matrix(2419,-1308,3782,-2045) (20/37,13/24) -> (55/86,16/25) Hyperbolic Matrix(2107,-1142,2976,-1613) (13/24,19/35) -> (63/89,17/24) Hyperbolic Matrix(1053,-580,1240,-683) (11/20,16/29) -> (28/33,17/20) Hyperbolic Matrix(1551,-866,2108,-1177) (5/9,19/34) -> (25/34,39/53) Hyperbolic Matrix(1797,-1034,2480,-1427) (4/7,19/33) -> (21/29,50/69) Hyperbolic Matrix(18477,-10804,25234,-14755) (38/65,69/118) -> (41/56,134/183) Hyperbolic Matrix(10911,-6440,15128,-8929) (36/61,49/83) -> (119/165,44/61) Hyperbolic Matrix(1425,-866,1736,-1055) (17/28,14/23) -> (32/39,23/28) Hyperbolic Matrix(12895,-7992,17608,-10913) (44/71,75/121) -> (93/127,52/71) Hyperbolic Matrix(1985,-1258,2542,-1611) (19/30,26/41) -> (32/41,25/32) Hyperbolic Matrix(1117,-710,1364,-867) (40/63,7/11) -> (9/11,50/61) Hyperbolic Matrix(2543,-1650,3534,-2293) (24/37,13/20) -> (59/82,18/25) Hyperbolic Matrix(683,-472,806,-557) (20/29,9/13) -> (11/13,28/33) Hyperbolic Matrix(2419,-1688,3286,-2293) (30/43,7/10) -> (53/72,14/19) Hyperbolic Matrix(1985,-1394,2294,-1611) (33/47,26/37) -> (32/37,13/15) Hyperbolic Matrix(5643,-4060,6634,-4773) (41/57,59/82) -> (17/20,57/67) Hyperbolic Matrix(16243,-11714,22010,-15873) (75/104,119/165) -> (107/145,31/42) Hyperbolic Matrix(7441,-5382,8742,-6323) (81/112,34/47) -> (40/47,63/74) Hyperbolic Matrix(1055,-832,1178,-929) (41/52,15/19) -> (17/19,9/10) Hyperbolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-4,1) Matrix(249,226,-682,-619) -> Matrix(3,-2,2,-1) Matrix(311,278,-1178,-1053) -> Matrix(1,0,0,1) Matrix(681,602,1612,1425) -> Matrix(13,-4,-16,5) Matrix(187,164,496,435) -> Matrix(5,-2,-2,1) Matrix(433,378,496,433) -> Matrix(9,-4,-20,9) Matrix(1241,1080,1426,1241) -> Matrix(35,-18,-68,35) Matrix(1551,1348,3782,3287) -> Matrix(11,-6,2,-1) Matrix(1053,914,2356,2045) -> Matrix(7,-4,-12,7) Matrix(1611,1394,-2294,-1985) -> Matrix(7,-4,2,-1) Matrix(1303,1124,1798,1551) -> Matrix(13,-8,-8,5) Matrix(1303,1112,2108,1799) -> Matrix(3,-2,-10,7) Matrix(869,740,-3348,-2851) -> Matrix(21,-16,4,-3) Matrix(1737,1478,-5828,-4959) -> Matrix(5,-4,-6,5) Matrix(683,580,-1240,-1053) -> Matrix(1,-2,2,-3) Matrix(745,628,1178,993) -> Matrix(5,-4,-6,5) Matrix(433,364,-1550,-1303) -> Matrix(7,-6,6,-5) Matrix(433,358,-1426,-1179) -> Matrix(1,-2,0,1) Matrix(621,512,1054,869) -> Matrix(1,0,-2,1) Matrix(309,254,-1736,-1427) -> Matrix(1,-2,0,1) Matrix(1055,866,-1736,-1425) -> Matrix(1,0,0,1) Matrix(311,254,-682,-557) -> Matrix(1,0,-2,1) Matrix(619,504,1674,1363) -> Matrix(1,0,-4,1) Matrix(557,452,992,805) -> Matrix(3,-2,-4,3) Matrix(433,350,-1612,-1303) -> Matrix(3,-2,2,-1) Matrix(123,98,310,247) -> Matrix(1,0,-2,1) Matrix(805,638,1798,1425) -> Matrix(3,-2,-10,7) Matrix(311,246,-1488,-1177) -> Matrix(7,-6,6,-5) Matrix(619,488,-2046,-1613) -> Matrix(1,0,-2,1) Matrix(805,634,-2914,-2295) -> Matrix(1,-2,2,-3) Matrix(311,244,-868,-681) -> Matrix(1,0,0,1) Matrix(619,484,1426,1115) -> Matrix(7,-4,-12,7) Matrix(1611,1258,-2542,-1985) -> Matrix(3,-2,8,-5) Matrix(433,336,558,433) -> Matrix(7,-6,-8,7) Matrix(1055,816,1364,1055) -> Matrix(13,-14,-12,13) Matrix(557,430,1364,1053) -> Matrix(5,-6,-4,5) Matrix(2791,2152,-7316,-5641) -> Matrix(3,-4,4,-5) Matrix(7627,5878,10540,8123) -> Matrix(11,-16,-2,3) Matrix(743,572,-1612,-1241) -> Matrix(1,-2,0,1) Matrix(683,524,1860,1427) -> Matrix(1,-2,-2,5) Matrix(869,666,-3720,-2851) -> Matrix(1,-6,-2,13) Matrix(559,428,1054,807) -> Matrix(1,2,0,1) Matrix(309,236,1054,805) -> Matrix(1,0,2,1) Matrix(681,518,-1550,-1179) -> Matrix(3,-2,8,-5) Matrix(185,138,248,185) -> Matrix(1,0,0,1) Matrix(1241,920,1674,1241) -> Matrix(1,0,-14,1) Matrix(497,368,-3348,-2479) -> Matrix(1,0,-6,1) Matrix(1117,826,2852,2109) -> Matrix(9,-2,-4,1) Matrix(929,686,1426,1053) -> Matrix(1,0,-4,1) Matrix(1055,778,-3782,-2789) -> Matrix(7,-2,4,-1) Matrix(1177,866,-2108,-1551) -> Matrix(9,-4,16,-7) Matrix(1301,956,2108,1549) -> Matrix(1,0,-4,1) Matrix(1551,1136,3472,2543) -> Matrix(3,-2,-4,3) Matrix(4711,3450,-11346,-8309) -> Matrix(5,-4,4,-3) Matrix(2109,1544,2542,1861) -> Matrix(3,-2,-4,3) Matrix(7315,5354,9486,6943) -> Matrix(3,-4,-2,3) Matrix(309,226,-1612,-1179) -> Matrix(5,-2,-2,1) Matrix(247,180,-682,-497) -> Matrix(3,-2,2,-1) Matrix(681,494,-2480,-1799) -> Matrix(5,-6,6,-7) Matrix(1427,1034,-2480,-1797) -> Matrix(1,-2,4,-7) Matrix(619,448,-2914,-2109) -> Matrix(1,-4,2,-7) Matrix(2851,2062,-10974,-7937) -> Matrix(1,6,0,1) Matrix(10415,7532,16802,12151) -> Matrix(1,0,0,1) Matrix(869,628,2232,1613) -> Matrix(1,-2,0,1) Matrix(1117,806,3782,2729) -> Matrix(1,0,0,1) Matrix(993,716,-3782,-2727) -> Matrix(1,2,0,1) Matrix(247,178,-1550,-1117) -> Matrix(1,0,4,1) Matrix(2293,1650,-3534,-2543) -> Matrix(1,0,-2,1) Matrix(1179,848,1984,1427) -> Matrix(1,0,-2,1) Matrix(187,134,434,311) -> Matrix(3,-2,-4,3) Matrix(309,220,434,309) -> Matrix(3,-2,-4,3) Matrix(1055,748,1488,1055) -> Matrix(5,-6,-4,5) Matrix(743,526,-4030,-2853) -> Matrix(3,-4,-2,3) Matrix(3101,2194,5084,3597) -> Matrix(3,-4,-2,3) Matrix(249,176,1054,745) -> Matrix(1,-2,2,-3) Matrix(1239,874,2108,1487) -> Matrix(1,-2,0,1) Matrix(1053,742,3782,2665) -> Matrix(1,0,0,1) Matrix(2419,1704,-8184,-5765) -> Matrix(1,0,2,1) Matrix(3721,2620,-8804,-6199) -> Matrix(11,-4,14,-5) Matrix(3287,2312,3968,2791) -> Matrix(5,-4,-6,5) Matrix(19839,13952,28210,19839) -> Matrix(17,-16,-18,17) Matrix(13951,9810,19840,13951) -> Matrix(13,-14,-12,13) Matrix(2541,1786,3968,2789) -> Matrix(1,-2,0,1) Matrix(2915,2048,5208,3659) -> Matrix(1,-2,-2,5) Matrix(869,610,-5828,-4091) -> Matrix(1,0,0,1) Matrix(371,260,-1240,-869) -> Matrix(1,0,-2,1) Matrix(433,302,-2046,-1427) -> Matrix(1,-2,2,-3) Matrix(247,172,-1426,-993) -> Matrix(1,0,-4,1) Matrix(495,344,1426,991) -> Matrix(1,0,-2,1) Matrix(1549,1076,3658,2541) -> Matrix(5,-4,-6,5) Matrix(683,474,-2232,-1549) -> Matrix(3,-2,-4,3) Matrix(991,684,-1798,-1241) -> Matrix(3,-4,4,-5) Matrix(743,512,1798,1239) -> Matrix(3,-4,-2,3) Matrix(435,298,1178,807) -> Matrix(1,0,-2,1) Matrix(1363,932,2356,1611) -> Matrix(1,0,-6,1) Matrix(1117,762,2728,1861) -> Matrix(1,0,-2,1) Matrix(683,464,-1550,-1053) -> Matrix(1,0,2,1) Matrix(435,284,1426,931) -> Matrix(1,0,0,1) Matrix(1053,686,1426,929) -> Matrix(1,0,-4,1) Matrix(2107,1368,-7068,-4589) -> Matrix(1,0,-2,1) Matrix(867,562,2294,1487) -> Matrix(1,-2,0,1) Matrix(681,440,1054,681) -> Matrix(1,0,0,1) Matrix(559,360,868,559) -> Matrix(1,0,-4,1) Matrix(187,120,-868,-557) -> Matrix(1,0,0,1) Matrix(185,118,-682,-435) -> Matrix(3,-2,2,-1) Matrix(63,40,-682,-433) -> Matrix(1,0,0,1) Matrix(6137,3894,9672,6137) -> Matrix(1,0,4,1) Matrix(4837,3068,7626,4837) -> Matrix(1,0,-8,1) Matrix(2975,1886,5084,3223) -> Matrix(1,0,-2,1) Matrix(433,274,1860,1177) -> Matrix(3,-2,8,-5) Matrix(993,628,1178,745) -> Matrix(5,-4,-6,5) Matrix(371,234,1178,743) -> Matrix(1,0,0,1) Matrix(311,196,1674,1055) -> Matrix(1,2,0,1) Matrix(185,116,-496,-311) -> Matrix(1,0,-2,1) Matrix(61,38,496,309) -> Matrix(3,-2,2,-1) Matrix(807,502,2294,1427) -> Matrix(1,0,-2,1) Matrix(1365,848,1798,1117) -> Matrix(5,-4,-6,5) Matrix(3101,1926,-8184,-5083) -> Matrix(11,-10,10,-9) Matrix(745,462,-1798,-1115) -> Matrix(3,-2,2,-1) Matrix(1675,1036,-7316,-4525) -> Matrix(1,0,-6,1) Matrix(5395,3336,-14136,-8741) -> Matrix(1,0,2,1) Matrix(1799,1112,2108,1303) -> Matrix(7,-2,-10,3) Matrix(12089,7470,16554,10229) -> Matrix(3,-2,-4,3) Matrix(2169,1340,5518,3409) -> Matrix(5,-2,-2,1) Matrix(1549,956,2108,1301) -> Matrix(1,0,-4,1) Matrix(373,230,806,497) -> Matrix(3,-2,2,-1) Matrix(495,304,806,495) -> Matrix(5,-4,-6,5) Matrix(683,418,1116,683) -> Matrix(5,-6,-4,5) Matrix(619,378,2232,1363) -> Matrix(1,-2,0,1) Matrix(3597,2194,5084,3101) -> Matrix(3,-4,-2,3) Matrix(3347,2040,-7936,-4837) -> Matrix(7,-8,8,-9) Matrix(2233,1360,2852,1737) -> Matrix(1,-2,-2,5) Matrix(743,452,2852,1735) -> Matrix(1,-4,0,1) Matrix(125,76,-1426,-867) -> Matrix(1,0,0,1) Matrix(2109,1280,5518,3349) -> Matrix(1,0,0,1) Matrix(2603,1578,-6138,-3721) -> Matrix(1,-2,2,-3) Matrix(63,38,310,187) -> Matrix(1,-2,0,1) Matrix(1427,848,1984,1179) -> Matrix(1,0,-2,1) Matrix(3101,1840,7316,4341) -> Matrix(1,2,-2,-3) Matrix(2729,1618,3348,1985) -> Matrix(1,0,0,1) Matrix(311,184,1364,807) -> Matrix(1,0,6,1) Matrix(867,512,2728,1611) -> Matrix(3,-2,2,-1) Matrix(2975,1756,-11346,-6697) -> Matrix(3,-2,2,-1) Matrix(9053,5342,12400,7317) -> Matrix(3,-2,-4,3) Matrix(495,292,3782,2231) -> Matrix(5,-2,-2,1) Matrix(869,512,1054,621) -> Matrix(1,0,-2,1) Matrix(1487,874,2108,1239) -> Matrix(1,-2,0,1) Matrix(11843,6954,16368,9611) -> Matrix(1,-12,0,1) Matrix(19839,11648,33790,19839) -> Matrix(1,-30,0,1) Matrix(8371,4914,14260,8371) -> Matrix(1,12,0,1) Matrix(559,328,1798,1055) -> Matrix(1,4,0,1) Matrix(683,400,-1798,-1053) -> Matrix(1,0,2,1) Matrix(433,252,744,433) -> Matrix(1,0,4,1) Matrix(683,396,1178,683) -> Matrix(1,0,-12,1) Matrix(3099,1792,-7936,-4589) -> Matrix(11,-2,6,-1) Matrix(557,322,1178,681) -> Matrix(9,-2,-4,1) Matrix(187,108,1612,931) -> Matrix(1,0,-2,1) Matrix(2605,1504,-8804,-5083) -> Matrix(1,0,-6,1) Matrix(1117,644,3658,2109) -> Matrix(1,0,-2,1) Matrix(2975,1714,7316,4215) -> Matrix(5,-2,-2,1) Matrix(2417,1392,-6138,-3535) -> Matrix(7,-2,4,-1) Matrix(373,214,434,249) -> Matrix(3,-2,-4,3) Matrix(123,70,434,247) -> Matrix(1,0,-4,1) Matrix(311,176,1426,807) -> Matrix(5,-2,-12,5) Matrix(433,244,-992,-559) -> Matrix(3,-2,8,-5) Matrix(805,452,992,557) -> Matrix(3,-2,-4,3) Matrix(371,208,-1550,-869) -> Matrix(3,-2,-4,3) Matrix(497,278,-1550,-867) -> Matrix(9,-4,-2,1) Matrix(6137,3432,10974,6137) -> Matrix(21,-10,-44,21) Matrix(3535,1976,6324,3535) -> Matrix(19,-10,-36,19) Matrix(61,34,-558,-311) -> Matrix(3,-2,2,-1) Matrix(929,514,3472,1921) -> Matrix(11,-8,-4,3) Matrix(311,172,2356,1303) -> Matrix(3,-2,-4,3) Matrix(373,206,1798,993) -> Matrix(3,-2,-4,3) Matrix(681,374,1240,681) -> Matrix(15,-14,-16,15) Matrix(373,204,682,373) -> Matrix(7,-8,-6,7) Matrix(125,68,-682,-371) -> Matrix(3,-4,-2,3) Matrix(1239,670,-4588,-2481) -> Matrix(5,-8,2,-3) Matrix(2851,1540,-6200,-3349) -> Matrix(1,-2,-4,9) Matrix(371,200,-1612,-869) -> Matrix(1,-2,-4,9) Matrix(309,166,806,433) -> Matrix(1,-2,0,1) Matrix(807,428,1054,559) -> Matrix(1,2,0,1) Matrix(497,262,1178,621) -> Matrix(5,6,-6,-7) Matrix(681,322,1178,557) -> Matrix(1,-2,-4,9) Matrix(247,116,1054,495) -> Matrix(1,-4,2,-7) Matrix(497,230,806,373) -> Matrix(1,2,-2,-3) Matrix(743,342,806,371) -> Matrix(5,2,-8,-3) Matrix(8309,3820,15376,7069) -> Matrix(23,2,-12,-1) Matrix(8307,3818,15376,7067) -> Matrix(17,-2,-8,1) Matrix(1363,626,-3782,-1737) -> Matrix(1,0,0,1) Matrix(869,398,-2976,-1363) -> Matrix(1,0,-4,1) Matrix(309,140,682,309) -> Matrix(1,0,4,1) Matrix(559,252,1240,559) -> Matrix(1,0,-12,1) Matrix(187,84,-1240,-557) -> Matrix(1,0,-4,1) Matrix(1425,638,1798,805) -> Matrix(7,-2,-10,3) Matrix(2045,914,2356,1053) -> Matrix(7,-4,-12,7) Matrix(2543,1136,3472,1551) -> Matrix(3,-2,-4,3) Matrix(557,246,-2108,-931) -> Matrix(1,0,-2,1) Matrix(2789,1230,6324,2789) -> Matrix(1,0,-4,1) Matrix(4837,2132,10974,4837) -> Matrix(1,0,-6,1) Matrix(1549,682,5208,2293) -> Matrix(1,0,0,1) Matrix(2543,1118,4092,1799) -> Matrix(7,-2,-10,3) Matrix(187,82,992,435) -> Matrix(1,0,-2,1) Matrix(2171,946,3844,1675) -> Matrix(21,-10,-44,21) Matrix(2169,944,3844,1673) -> Matrix(23,-12,-44,23) Matrix(1115,484,1426,619) -> Matrix(7,-4,-12,7) Matrix(311,134,434,187) -> Matrix(3,-2,-4,3) Matrix(683,290,-2480,-1053) -> Matrix(3,-2,2,-1) Matrix(19779,8386,32612,13827) -> Matrix(5,-4,-6,5) Matrix(21017,8910,34658,14693) -> Matrix(1,0,-2,1) Matrix(4341,1840,7316,3101) -> Matrix(3,-2,2,-1) Matrix(2541,1076,3658,1549) -> Matrix(5,-4,-6,5) Matrix(3533,1494,4836,2045) -> Matrix(13,-10,-22,17) Matrix(1425,602,1612,681) -> Matrix(5,-4,-16,13) Matrix(621,262,1178,497) -> Matrix(7,-6,6,-5) Matrix(745,314,2356,993) -> Matrix(9,-8,8,-7) Matrix(495,208,1178,495) -> Matrix(17,-16,-18,17) Matrix(311,130,744,311) -> Matrix(9,-10,-8,9) Matrix(5829,2422,8060,3349) -> Matrix(1,-2,2,-3) Matrix(6757,2806,-25234,-10479) -> Matrix(5,-8,2,-3) Matrix(1861,772,5084,2109) -> Matrix(1,0,-2,1) Matrix(1239,512,1798,743) -> Matrix(3,-4,-2,3) Matrix(5889,2432,14260,5889) -> Matrix(5,-6,-4,5) Matrix(13951,5760,33790,13951) -> Matrix(19,-30,-12,19) Matrix(7563,3122,9610,3967) -> Matrix(1,-2,2,-3) Matrix(621,256,2108,869) -> Matrix(1,-2,2,-3) Matrix(185,76,1054,433) -> Matrix(1,-2,2,-3) Matrix(3287,1348,3782,1551) -> Matrix(1,6,-2,-11) Matrix(7255,2974,11346,4651) -> Matrix(1,0,-2,1) Matrix(4217,1728,-15128,-6199) -> Matrix(1,2,0,1) Matrix(1861,762,2728,1117) -> Matrix(1,0,-2,1) Matrix(1053,430,1364,557) -> Matrix(5,-6,-4,5) Matrix(4959,2018,7006,2851) -> Matrix(3,-4,-2,3) Matrix(4215,1714,7316,2975) -> Matrix(1,-2,-2,5) Matrix(557,226,1984,805) -> Matrix(1,0,-2,1) Matrix(247,98,310,123) -> Matrix(1,0,-2,1) Matrix(19965,7858,34658,13641) -> Matrix(1,-2,0,1) Matrix(18785,7392,32612,12833) -> Matrix(1,-2,-4,9) Matrix(3409,1340,5518,2169) -> Matrix(1,-2,-2,5) Matrix(311,122,-1736,-681) -> Matrix(1,-2,0,1) Matrix(2543,994,3968,1551) -> Matrix(1,0,-2,1) Matrix(3473,1356,5084,1985) -> Matrix(1,-2,0,1) Matrix(1487,580,5084,1983) -> Matrix(1,-2,4,-7) Matrix(1613,628,2232,869) -> Matrix(1,-2,0,1) Matrix(433,168,1116,433) -> Matrix(1,-4,0,1) Matrix(311,120,806,311) -> Matrix(1,0,0,1) Matrix(433,166,806,309) -> Matrix(1,-2,0,1) Matrix(559,214,2108,807) -> Matrix(1,0,0,1) Matrix(3349,1280,5518,2109) -> Matrix(1,0,0,1) Matrix(11097,4240,17360,6633) -> Matrix(1,0,0,1) Matrix(309,118,2108,805) -> Matrix(1,0,0,1) Matrix(21391,8166,34596,13207) -> Matrix(1,0,6,1) Matrix(21389,8164,34596,13205) -> Matrix(1,0,-10,1) Matrix(4401,1678,6014,2293) -> Matrix(1,0,-2,1) Matrix(2419,920,3100,1179) -> Matrix(3,-2,-4,3) Matrix(4713,1792,-17608,-6695) -> Matrix(1,2,0,1) Matrix(4651,1768,16802,6387) -> Matrix(1,0,-2,1) Matrix(9549,3620,15376,5829) -> Matrix(17,-16,-18,17) Matrix(9547,3618,15376,5827) -> Matrix(13,-14,-12,13) Matrix(2293,868,4092,1549) -> Matrix(1,-2,0,1) Matrix(1487,562,2294,867) -> Matrix(1,-2,0,1) Matrix(435,164,496,187) -> Matrix(1,-2,-2,5) Matrix(2419,898,3844,1427) -> Matrix(1,0,6,1) Matrix(2417,896,3844,1425) -> Matrix(1,0,-8,1) Matrix(1363,504,1674,619) -> Matrix(1,0,-4,1) Matrix(807,298,1178,435) -> Matrix(1,0,-2,1) Matrix(185,68,1178,433) -> Matrix(1,0,-4,1) Matrix(1427,524,1860,683) -> Matrix(5,-2,-2,1) Matrix(557,204,-2542,-931) -> Matrix(3,-2,8,-5) Matrix(2789,1020,7626,2789) -> Matrix(7,-6,-8,7) Matrix(3535,1292,9672,3535) -> Matrix(5,-6,-4,5) Matrix(247,90,-1364,-497) -> Matrix(1,0,-2,1) Matrix(7377,2662,10478,3781) -> Matrix(1,0,-2,1) Matrix(10727,3870,17360,6263) -> Matrix(1,0,-2,1) Matrix(6695,2414,11346,4091) -> Matrix(1,0,-2,1) Matrix(1179,424,3968,1427) -> Matrix(1,0,2,1) Matrix(2417,868,3968,1425) -> Matrix(5,-2,-2,1) Matrix(309,110,868,309) -> Matrix(3,-2,-4,3) Matrix(373,132,1054,373) -> Matrix(5,-6,-4,5) Matrix(1427,502,2294,807) -> Matrix(1,0,-2,1) Matrix(991,348,-3534,-1241) -> Matrix(3,-4,4,-5) Matrix(373,130,1426,497) -> Matrix(1,-4,0,1) Matrix(991,344,1426,495) -> Matrix(1,0,-2,1) Matrix(1179,376,1364,435) -> Matrix(1,6,-2,-11) Matrix(1611,512,2728,867) -> Matrix(1,2,-2,-3) Matrix(3099,982,5084,1611) -> Matrix(1,0,0,1) Matrix(743,234,1178,371) -> Matrix(1,0,0,1) Matrix(1055,328,1798,559) -> Matrix(1,4,0,1) Matrix(123,38,-806,-249) -> Matrix(1,2,0,1) Matrix(2667,818,3844,1179) -> Matrix(5,6,-6,-7) Matrix(2665,816,3844,1177) -> Matrix(5,4,-4,-3) Matrix(2109,644,3658,1117) -> Matrix(1,0,-2,1) Matrix(931,284,1426,435) -> Matrix(1,0,0,1) Matrix(7625,2314,10416,3161) -> Matrix(3,4,-4,-5) Matrix(6323,1918,8990,2727) -> Matrix(5,6,-6,-7) Matrix(867,262,-3286,-993) -> Matrix(1,0,2,1) Matrix(10789,3220,15376,4589) -> Matrix(3,2,-2,-1) Matrix(10787,3218,15376,4587) -> Matrix(1,0,2,1) Matrix(309,92,-2294,-683) -> Matrix(5,2,2,1) Matrix(3595,1068,4588,1363) -> Matrix(1,0,2,1) Matrix(5889,1748,19840,5889) -> Matrix(1,0,16,1) Matrix(8371,2484,28210,8371) -> Matrix(1,0,-12,1) Matrix(6263,1858,8990,2667) -> Matrix(1,0,-4,1) Matrix(6697,1982,10478,3101) -> Matrix(1,0,0,1) Matrix(24367,7206,34596,10231) -> Matrix(1,0,14,1) Matrix(24365,7204,34596,10229) -> Matrix(1,0,-14,1) Matrix(2729,806,3782,1117) -> Matrix(1,0,0,1) Matrix(869,256,2108,621) -> Matrix(3,2,-2,-1) Matrix(805,236,1054,309) -> Matrix(1,0,2,1) Matrix(1983,580,5084,1487) -> Matrix(7,2,-4,-1) Matrix(4155,1214,7006,2047) -> Matrix(1,0,6,1) Matrix(433,126,1488,433) -> Matrix(1,0,12,1) Matrix(125,36,434,125) -> Matrix(1,0,-4,1) Matrix(247,70,434,123) -> Matrix(1,0,-4,1) Matrix(805,226,1984,557) -> Matrix(1,0,-2,1) Matrix(991,278,-6634,-1861) -> Matrix(3,-2,2,-1) Matrix(2603,728,3100,867) -> Matrix(13,-12,-14,13) Matrix(2233,624,2666,745) -> Matrix(7,-8,-6,7) Matrix(5767,1608,-22010,-6137) -> Matrix(5,-8,2,-3) Matrix(2665,742,3782,1053) -> Matrix(1,0,0,1) Matrix(1363,378,2232,619) -> Matrix(1,-2,0,1) Matrix(4711,1304,8060,2231) -> Matrix(1,0,0,1) Matrix(1301,360,-8742,-2419) -> Matrix(1,0,-2,1) Matrix(6757,1868,16368,4525) -> Matrix(13,-8,-8,5) Matrix(2417,668,10540,2913) -> Matrix(3,-2,14,-9) Matrix(247,68,1798,495) -> Matrix(1,0,-2,1) Matrix(2791,766,3844,1055) -> Matrix(11,-10,-12,11) Matrix(2789,764,3844,1053) -> Matrix(11,-12,-10,11) Matrix(5083,1372,12400,3347) -> Matrix(1,-2,0,1) Matrix(6325,1706,16554,4465) -> Matrix(1,-2,2,-3) Matrix(2791,752,4836,1303) -> Matrix(1,-2,-4,9) Matrix(2603,700,3224,867) -> Matrix(1,-2,-2,5) Matrix(2047,550,2542,683) -> Matrix(1,0,-2,1) Matrix(3721,998,6014,1613) -> Matrix(1,-2,0,1) Matrix(7255,1944,10416,2791) -> Matrix(1,-2,-4,9) Matrix(70371,18842,96100,25731) -> Matrix(1,0,-2,1) Matrix(70369,18840,96100,25729) -> Matrix(3,-8,-4,11) Matrix(1921,514,3472,929) -> Matrix(3,-8,-4,11) Matrix(807,214,2108,559) -> Matrix(1,0,0,1) Matrix(45385,11896,61504,16121) -> Matrix(1,-2,2,-3) Matrix(45383,11894,61504,16119) -> Matrix(1,-2,-10,21) Matrix(497,130,1426,373) -> Matrix(1,-4,0,1) Matrix(2543,662,3100,807) -> Matrix(1,-4,0,1) Matrix(433,112,1674,433) -> Matrix(1,-14,0,1) Matrix(63,16,248,63) -> Matrix(1,2,0,1) Matrix(681,164,1798,433) -> Matrix(5,4,-4,-3) Matrix(745,176,1054,249) -> Matrix(3,2,-2,-1) Matrix(495,116,1054,247) -> Matrix(7,4,-2,-1) Matrix(11781,2756,15376,3597) -> Matrix(43,22,-2,-1) Matrix(11779,2754,15376,3595) -> Matrix(41,20,2,1) Matrix(1177,274,1860,433) -> Matrix(5,2,-8,-3) Matrix(6201,1424,7564,1737) -> Matrix(1,0,4,1) Matrix(2975,682,3782,867) -> Matrix(1,0,4,1) Matrix(2543,582,9486,2171) -> Matrix(11,2,-6,-1) Matrix(807,184,1364,311) -> Matrix(1,0,6,1) Matrix(309,70,1364,309) -> Matrix(1,0,20,1) Matrix(125,28,558,125) -> Matrix(1,0,-8,1) Matrix(1921,422,3100,681) -> Matrix(1,0,-4,1) Matrix(807,176,1426,311) -> Matrix(5,-2,-12,5) Matrix(1115,242,2852,619) -> Matrix(1,0,-2,1) Matrix(3225,698,4588,993) -> Matrix(1,-2,0,1) Matrix(2915,622,3782,807) -> Matrix(11,-4,-8,3) Matrix(5643,1202,9610,2047) -> Matrix(17,-8,-2,1) Matrix(123,26,-1178,-249) -> Matrix(3,-2,-4,3) Matrix(3039,638,3844,807) -> Matrix(15,-14,-16,15) Matrix(3037,636,3844,805) -> Matrix(11,-12,-10,11) Matrix(993,206,1798,373) -> Matrix(3,-2,-4,3) Matrix(187,38,310,63) -> Matrix(1,-2,0,1) Matrix(1859,362,2542,495) -> Matrix(1,-4,-2,9) Matrix(2357,454,3224,621) -> Matrix(1,8,-2,-15) Matrix(435,82,992,187) -> Matrix(1,0,-2,1) Matrix(1055,196,1674,311) -> Matrix(1,2,0,1) Matrix(1363,252,3348,619) -> Matrix(1,0,0,1) Matrix(5827,1050,7564,1363) -> Matrix(7,2,-4,-1) Matrix(2293,412,3100,557) -> Matrix(1,0,-4,1) Matrix(3163,562,3844,683) -> Matrix(3,4,-4,-5) Matrix(3161,560,3844,681) -> Matrix(5,4,-4,-3) Matrix(433,76,1054,185) -> Matrix(3,2,-2,-1) Matrix(1177,202,3968,681) -> Matrix(1,0,0,1) Matrix(681,116,2542,433) -> Matrix(1,-2,0,1) Matrix(1921,312,2666,433) -> Matrix(1,0,8,1) Matrix(2233,358,3100,497) -> Matrix(1,0,-12,1) Matrix(433,68,1178,185) -> Matrix(1,0,-4,1) Matrix(805,118,2108,309) -> Matrix(1,0,0,1) Matrix(185,26,434,61) -> Matrix(3,-2,-4,3) Matrix(929,126,1364,185) -> Matrix(1,-2,0,1) Matrix(1303,172,2356,311) -> Matrix(3,-2,-4,3) Matrix(2231,292,3782,495) -> Matrix(1,-2,-2,5) Matrix(185,24,1426,185) -> Matrix(1,-6,0,1) Matrix(63,8,496,63) -> Matrix(1,2,0,1) Matrix(309,38,496,61) -> Matrix(1,2,-2,-3) Matrix(931,108,1612,187) -> Matrix(1,0,-2,1) Matrix(435,34,806,63) -> Matrix(1,-2,0,1) Matrix(433,-40,682,-63) -> Matrix(1,0,0,1) Matrix(867,-92,1178,-125) -> Matrix(1,-2,-2,5) Matrix(683,-92,2294,-309) -> Matrix(1,2,2,5) Matrix(2479,-368,3348,-497) -> Matrix(1,0,-6,1) Matrix(4091,-610,5828,-869) -> Matrix(1,0,0,1) Matrix(557,-84,1240,-187) -> Matrix(1,0,-4,1) Matrix(1117,-178,1550,-247) -> Matrix(1,0,4,1) Matrix(993,-172,1426,-247) -> Matrix(1,0,-4,1) Matrix(1427,-254,1736,-309) -> Matrix(1,-2,0,1) Matrix(681,-122,1736,-311) -> Matrix(1,-2,0,1) Matrix(371,-68,682,-125) -> Matrix(3,-4,-2,3) Matrix(1179,-226,1612,-309) -> Matrix(1,-2,-2,5) Matrix(1177,-246,1488,-311) -> Matrix(5,6,-6,-7) Matrix(1427,-302,2046,-433) -> Matrix(3,2,-2,-1) Matrix(2109,-448,2914,-619) -> Matrix(7,4,-2,-1) Matrix(557,-120,868,-187) -> Matrix(1,0,0,1) Matrix(931,-204,2542,-557) -> Matrix(5,2,-8,-3) Matrix(4525,-1036,7316,-1675) -> Matrix(1,0,-6,1) Matrix(869,-200,1612,-371) -> Matrix(9,-2,-4,1) Matrix(2851,-666,3720,-869) -> Matrix(13,-6,-2,1) Matrix(869,-208,1550,-371) -> Matrix(3,-2,-4,3) Matrix(2851,-740,3348,-869) -> Matrix(3,16,-4,-21) Matrix(2727,-716,3782,-993) -> Matrix(1,2,0,1) Matrix(931,-246,2108,-557) -> Matrix(1,0,-2,1) Matrix(6635,-1776,11346,-3037) -> Matrix(1,2,2,5) Matrix(1303,-350,1612,-433) -> Matrix(1,2,-2,-3) Matrix(435,-118,682,-185) -> Matrix(1,2,-2,-3) Matrix(1799,-494,2480,-681) -> Matrix(7,6,-6,-5) Matrix(1053,-290,2480,-683) -> Matrix(1,2,-2,-3) Matrix(2295,-634,2914,-805) -> Matrix(3,2,-2,-1) Matrix(8123,-2248,10974,-3037) -> Matrix(1,0,-4,1) Matrix(2789,-778,3782,-1055) -> Matrix(1,2,-4,-7) Matrix(1303,-364,1550,-433) -> Matrix(5,6,-6,-7) Matrix(1241,-348,3534,-991) -> Matrix(5,4,-4,-3) Matrix(3287,-960,4030,-1177) -> Matrix(1,0,-6,1) Matrix(5765,-1704,8184,-2419) -> Matrix(1,0,2,1) Matrix(5083,-1504,8804,-2605) -> Matrix(1,0,-6,1) Matrix(4959,-1478,5828,-1737) -> Matrix(5,-4,-6,5) Matrix(869,-260,1240,-371) -> Matrix(1,0,-2,1) Matrix(1613,-488,2046,-619) -> Matrix(1,0,-2,1) Matrix(1179,-358,1426,-433) -> Matrix(1,-2,0,1) Matrix(1549,-474,2232,-683) -> Matrix(3,-2,-4,3) Matrix(807,-250,1798,-557) -> Matrix(1,-2,-4,9) Matrix(867,-278,1550,-497) -> Matrix(1,-4,-2,9) Matrix(4961,-1740,7068,-2479) -> Matrix(1,2,-2,-3) Matrix(681,-244,868,-311) -> Matrix(1,0,0,1) Matrix(497,-180,682,-247) -> Matrix(1,2,-2,-3) Matrix(619,-226,682,-249) -> Matrix(1,2,-2,-3) Matrix(311,-116,496,-185) -> Matrix(1,0,-2,1) Matrix(5083,-1926,8184,-3101) -> Matrix(9,10,-10,-11) Matrix(1053,-400,1798,-683) -> Matrix(1,0,2,1) Matrix(5641,-2152,7316,-2791) -> Matrix(5,4,-4,-3) Matrix(8741,-3336,14136,-5395) -> Matrix(1,0,2,1) Matrix(4589,-1792,7936,-3099) -> Matrix(1,2,-6,-11) Matrix(1301,-510,1426,-559) -> Matrix(3,4,-4,-5) Matrix(3535,-1392,6138,-2417) -> Matrix(1,2,-4,-7) Matrix(8371,-3430,11346,-4649) -> Matrix(1,0,-4,1) Matrix(1115,-462,1798,-745) -> Matrix(1,2,-2,-3) Matrix(4837,-2040,7936,-3347) -> Matrix(9,8,-8,-7) Matrix(6199,-2620,8804,-3721) -> Matrix(5,4,-14,-11) Matrix(3721,-1578,6138,-2603) -> Matrix(3,2,-2,-1) Matrix(559,-244,992,-433) -> Matrix(5,2,-8,-3) Matrix(1179,-518,1550,-681) -> Matrix(5,2,-8,-3) Matrix(1053,-464,1550,-683) -> Matrix(1,0,2,1) Matrix(497,-220,558,-247) -> Matrix(1,0,2,1) Matrix(557,-254,682,-311) -> Matrix(1,0,-2,1) Matrix(3349,-1538,4588,-2107) -> Matrix(1,2,-2,-3) Matrix(3349,-1540,6200,-2851) -> Matrix(9,-2,-4,1) Matrix(1241,-572,1612,-743) -> Matrix(1,-2,0,1) Matrix(2419,-1308,3782,-2045) -> Matrix(1,2,-4,-7) Matrix(2107,-1142,2976,-1613) -> Matrix(1,0,0,1) Matrix(1053,-580,1240,-683) -> Matrix(3,2,-2,-1) Matrix(1551,-866,2108,-1177) -> Matrix(7,4,-16,-9) Matrix(1797,-1034,2480,-1427) -> Matrix(7,2,-4,-1) Matrix(18477,-10804,25234,-14755) -> Matrix(3,-2,-4,3) Matrix(10911,-6440,15128,-8929) -> Matrix(1,0,2,1) Matrix(1425,-866,1736,-1055) -> Matrix(1,0,0,1) Matrix(12895,-7992,17608,-10913) -> Matrix(1,2,-2,-3) Matrix(1985,-1258,2542,-1611) -> Matrix(5,2,-8,-3) Matrix(1117,-710,1364,-867) -> Matrix(1,0,0,1) Matrix(2543,-1650,3534,-2293) -> Matrix(1,0,-2,1) Matrix(683,-472,806,-557) -> Matrix(1,2,-2,-3) Matrix(2419,-1688,3286,-2293) -> Matrix(3,2,-8,-5) Matrix(1985,-1394,2294,-1611) -> Matrix(1,4,-2,-7) Matrix(5643,-4060,6634,-4773) -> Matrix(11,4,-14,-5) Matrix(16243,-11714,22010,-15873) -> Matrix(1,0,-2,1) Matrix(7441,-5382,8742,-6323) -> Matrix(3,-2,-4,3) Matrix(1055,-832,1178,-929) -> Matrix(1,0,0,1) 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): 128 Degree of the the map X: 128 Degree of the the map Y: 480 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1440 Minimal number of generators: 241 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 60 Genus: 91 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -27/62 -23/62 -5/31 -4/25 -1/11 0/1 1/10 1/9 1/8 4/31 2/15 1/7 4/27 2/13 1/6 4/23 2/11 4/21 1/5 4/19 3/14 2/9 7/31 3/13 4/17 1/4 8/31 8/29 2/7 9/31 46/155 1/3 11/31 34/93 12/31 2/5 64/155 5/12 13/31 41/93 14/31 7/15 1/2 17/31 52/93 18/31 94/155 19/31 77/124 59/93 20/31 2/3 22/31 68/93 95/124 24/31 25/31 26/31 1/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 1/2 -7/8 1/2 -6/7 1/2 2/3 -5/6 1/0 -19/23 1/0 -14/17 1/2 1/1 -9/11 1/0 -22/27 0/1 1/1 -13/16 1/2 -17/21 1/2 -4/5 1/2 1/1 -11/14 1/2 -18/23 1/3 1/2 -25/32 1/2 -7/9 3/4 -10/13 1/1 2/1 -23/30 1/0 -36/47 -7/1 1/0 -13/17 1/0 -16/21 0/1 1/2 -3/4 1/0 -14/19 0/1 1/3 -11/15 1/2 -8/11 2/3 1/1 -13/18 1/0 -44/61 0/1 1/0 -31/43 -1/2 -18/25 0/1 1/4 -23/32 1/2 -5/7 1/2 -12/17 1/1 1/0 -19/27 1/2 -26/37 2/1 1/0 -7/10 1/0 -23/33 -1/2 -16/23 1/2 1/1 -9/13 1/0 -11/16 1/0 -13/19 1/0 -15/22 1/0 -2/3 0/1 1/1 -9/14 1/2 -16/25 0/1 1/0 -7/11 1/0 -33/52 -1/2 -59/93 0/1 -26/41 0/1 1/4 -45/71 1/4 -19/30 1/2 -31/49 3/4 -12/19 0/1 1/1 -17/27 -1/2 -5/8 1/2 -23/37 1/2 -41/66 5/6 -18/29 1/1 2/1 -13/21 1/0 -8/13 2/3 1/1 -19/31 1/1 -11/18 3/2 -14/23 1/1 1/0 -17/28 1/0 -3/5 1/0 -19/32 1/0 -16/27 -1/1 0/1 -13/22 1/4 -23/39 1/2 -10/17 1/1 1/0 -27/46 1/0 -17/29 -3/2 -7/12 -1/2 -4/7 0/1 1/2 -13/23 1/2 -9/16 1/2 -23/41 1/2 -14/25 0/1 1/2 -19/34 1/2 -5/9 3/4 -11/20 7/8 -17/31 1/1 -6/11 1/1 4/3 -1/2 1/2 -6/13 -1/1 0/1 -5/11 -1/2 -4/9 0/1 1/2 -15/34 1/2 -41/93 0/1 -26/59 0/1 1/3 -37/84 1/2 -11/25 1/4 -29/66 3/8 -18/41 2/5 1/2 -7/16 1/2 -17/39 1/2 -27/62 1/2 -10/23 1/2 5/9 -13/30 1/2 -3/7 1/2 -14/33 2/3 1/1 -11/26 3/4 -8/19 8/9 1/1 -13/31 1/1 -5/12 5/4 -22/53 3/2 2/1 -17/41 3/2 -12/29 1/1 4/3 -19/46 3/2 -26/63 3/2 2/1 -7/17 1/0 -2/5 1/1 1/0 -5/13 1/0 -18/47 -3/1 1/0 -13/34 1/0 -34/89 -1/1 0/1 -21/55 -1/2 -8/21 0/1 1/0 -27/71 1/0 -19/50 1/0 -11/29 3/4 -14/37 3/2 2/1 -3/8 1/0 -13/35 -1/4 -23/62 0/1 -10/27 0/1 1/3 -17/46 1/2 -7/19 1/2 -18/49 0/1 1/3 -11/30 1/2 -15/41 3/4 -4/11 0/1 1/1 -5/14 1/2 -11/31 1/1 -6/17 1/1 3/2 -1/3 1/0 -5/16 1/0 -4/13 -2/1 -1/1 -3/10 -1/2 -11/37 -1/4 -19/64 -1/8 -8/27 -1/1 0/1 -13/44 1/0 -18/61 0/1 1/0 -5/17 -1/2 -12/41 -1/4 0/1 -7/24 -1/6 -9/31 0/1 -2/7 0/1 1/2 -5/18 1/2 -8/29 0/1 1/1 -3/11 3/2 -10/37 3/2 2/1 -7/26 1/0 -25/93 1/0 -18/67 1/1 1/0 -11/41 1/0 -4/15 3/1 1/0 -9/34 1/0 -14/53 0/1 1/0 -5/19 3/2 -16/61 2/1 1/0 -11/42 1/0 -6/23 3/1 1/0 -1/4 1/0 -4/17 -1/1 -1/2 -7/30 -1/2 -3/13 -1/4 -8/35 -1/5 0/1 -5/22 -1/10 -7/31 0/1 -2/9 0/1 1/4 -5/23 1/2 -8/37 0/1 1/0 -3/14 1/2 -7/33 5/8 -11/52 1/2 -4/19 4/5 1/1 -1/5 1/0 -2/11 -1/1 0/1 -1/6 -1/2 -5/31 0/1 -4/25 0/1 1/8 -3/19 1/2 -2/13 0/1 1/1 -1/7 1/2 -3/22 1/0 -2/15 1/1 1/0 -1/8 1/0 -1/9 1/2 -1/10 -1/2 -1/11 1/0 0/1 0/1 1/0 1/10 1/2 1/9 -1/2 1/8 1/0 4/31 1/0 3/23 1/0 2/15 -1/1 1/0 3/22 1/0 1/7 -1/2 4/27 -1/1 0/1 3/20 -1/2 2/13 -1/1 0/1 3/19 -1/2 1/6 1/2 4/23 1/3 1/2 3/17 1/2 2/11 0/1 1/1 3/16 1/0 4/21 2/1 1/0 1/5 1/0 4/19 -1/1 -4/5 7/33 -5/8 3/14 -1/2 5/23 -1/2 7/32 -1/2 2/9 -1/4 0/1 7/31 0/1 5/22 1/10 8/35 0/1 1/5 3/13 1/4 7/30 1/2 11/47 1/2 4/17 1/2 1/1 1/4 1/0 8/31 1/0 7/27 1/0 6/23 -3/1 1/0 11/42 1/0 5/19 -3/2 9/34 1/0 4/15 -3/1 1/0 19/71 1/0 15/56 -5/2 11/41 1/0 7/26 1/0 3/11 -3/2 11/40 -1/2 8/29 -1/1 0/1 13/47 -1/2 5/18 -1/2 12/43 -2/1 -1/1 7/25 -3/4 2/7 -1/2 0/1 9/31 0/1 7/24 1/6 12/41 0/1 1/4 5/17 1/2 18/61 0/1 1/0 13/44 1/0 8/27 0/1 1/1 27/91 -1/6 46/155 0/1 19/64 1/8 11/37 1/4 25/84 1/2 14/47 1/3 1/2 3/10 1/2 4/13 1/1 2/1 9/29 5/2 5/16 1/0 6/19 0/1 1/1 13/41 3/2 7/22 5/2 1/3 1/0 8/23 -1/1 1/0 7/20 1/0 6/17 -3/2 -1/1 11/31 -1/1 5/14 -1/2 9/25 -1/2 4/11 -1/1 0/1 19/52 -3/2 34/93 -1/1 15/41 -3/4 26/71 -3/4 -2/3 11/30 -1/2 18/49 -1/3 0/1 7/19 -1/2 17/46 -1/2 10/27 -1/3 0/1 3/8 1/0 14/37 -2/1 -3/2 25/66 -5/4 11/29 -3/4 8/21 0/1 1/0 21/55 1/2 34/89 0/1 1/1 47/123 1/2 13/34 1/0 18/47 3/1 1/0 5/13 1/0 12/31 1/0 7/18 1/0 2/5 -1/1 1/0 7/17 1/0 26/63 -2/1 -3/2 45/109 -3/2 64/155 -3/2 19/46 -3/2 12/29 -4/3 -1/1 5/12 -5/4 13/31 -1/1 8/19 -1/1 -8/9 11/26 -3/4 25/59 -3/4 39/92 -1/2 14/33 -1/1 -2/3 17/40 -3/4 3/7 -1/2 13/30 -1/2 10/23 -5/9 -1/2 7/16 -1/2 18/41 -1/2 -2/5 11/25 -1/4 26/59 -1/3 0/1 41/93 0/1 15/34 -1/2 19/43 -3/8 4/9 -1/2 0/1 9/20 -1/6 14/31 0/1 5/11 1/2 11/24 1/2 6/13 0/1 1/1 7/15 1/0 1/2 -1/2 9/17 1/0 8/15 -5/1 1/0 7/13 1/0 6/11 -4/3 -1/1 17/31 -1/1 11/20 -7/8 16/29 -1/1 -4/5 21/38 -5/6 5/9 -3/4 19/34 -1/2 52/93 -1/2 33/59 -1/2 14/25 -1/2 0/1 23/41 -1/2 9/16 -1/2 22/39 -7/13 -1/2 35/62 -1/2 13/23 -1/2 4/7 -1/2 0/1 11/19 -1/6 18/31 0/1 7/12 1/2 31/53 1/2 24/41 0/1 1/2 17/29 3/2 27/46 1/0 91/155 1/0 64/109 -15/1 1/0 37/63 1/0 10/17 -1/1 1/0 23/39 -1/2 13/22 -1/4 16/27 0/1 1/1 35/59 1/2 19/32 1/0 3/5 1/0 20/33 -1/1 0/1 57/94 1/0 94/155 -1/1 37/61 -1/2 17/28 1/0 14/23 -1/1 1/0 11/18 -3/2 19/31 -1/1 8/13 -1/1 -2/3 13/21 1/0 44/71 0/1 1/0 31/50 -3/2 18/29 -2/1 -1/1 77/124 -1/1 59/95 -13/14 41/66 -5/6 23/37 -1/2 5/8 -1/2 22/35 -1/5 0/1 39/62 0/1 17/27 1/2 12/19 -1/1 0/1 31/49 -3/4 19/30 -1/2 26/41 -1/4 0/1 59/93 0/1 33/52 1/2 40/63 0/1 1/0 7/11 1/0 23/36 -1/2 39/61 -1/2 16/25 0/1 1/0 25/39 -1/2 9/14 -1/2 20/31 0/1 11/17 1/0 2/3 -1/1 0/1 17/25 -1/2 15/22 1/0 13/19 1/0 11/16 1/0 20/29 -1/1 0/1 9/13 1/0 16/23 -1/1 -1/2 39/56 -1/2 23/33 1/2 30/43 -1/1 -2/3 7/10 1/0 26/37 -2/1 1/0 45/64 -7/6 109/155 -1/1 64/91 -1/1 -8/9 19/27 -1/2 12/17 -1/1 1/0 17/24 -3/2 22/31 -1/1 5/7 -1/2 23/32 -1/2 41/57 -1/2 18/25 -1/4 0/1 67/93 0/1 49/68 1/6 31/43 1/2 75/104 1/0 44/61 0/1 1/0 13/18 1/0 34/47 3/1 1/0 55/76 1/0 21/29 -3/2 8/11 -1/1 -2/3 19/26 -1/2 68/93 -1/2 49/67 -1/2 30/41 -1/2 0/1 11/15 -1/2 25/34 -1/2 39/53 -5/12 53/72 -3/8 14/19 -1/3 0/1 3/4 1/0 19/25 -3/4 16/21 -1/2 0/1 13/17 1/0 36/47 7/1 1/0 95/124 1/0 59/77 1/0 23/30 1/0 10/13 -2/1 -1/1 17/22 -7/6 24/31 -1/1 7/9 -3/4 32/41 -3/4 -2/3 25/32 -1/2 18/23 -1/2 -1/3 47/60 -1/6 29/37 -1/2 11/14 -1/2 4/5 -1/1 -1/2 25/31 -1/2 21/26 -1/2 17/21 -1/2 13/16 -1/2 22/27 -1/1 0/1 31/38 1/0 9/11 1/0 32/39 -1/1 1/0 23/28 1/0 14/17 -1/1 -1/2 19/23 1/0 5/6 1/0 26/31 -1/1 21/25 -9/10 16/19 -1/1 -4/5 11/13 -1/2 6/7 -2/3 -1/2 7/8 -1/2 8/9 0/1 1/0 9/10 1/0 1/1 -1/2 1/0 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,0,1) (-1/1,1/0) -> (1/1,1/0) Parabolic Matrix(61,54,279,247) (-1/1,-7/8) -> (5/23,7/32) Hyperbolic Matrix(123,106,-217,-187) (-7/8,-6/7) -> (-4/7,-13/23) Hyperbolic Matrix(61,52,217,185) (-6/7,-5/6) -> (7/25,2/7) Hyperbolic Matrix(559,462,-899,-743) (-5/6,-19/23) -> (-5/8,-23/37) Hyperbolic Matrix(621,512,1054,869) (-19/23,-14/17) -> (10/17,23/39) Hyperbolic Matrix(185,152,527,433) (-14/17,-9/11) -> (7/20,6/17) Hyperbolic Matrix(125,102,837,683) (-9/11,-22/27) -> (4/27,3/20) Hyperbolic Matrix(619,504,1674,1363) (-22/27,-13/16) -> (17/46,10/27) Hyperbolic Matrix(557,452,992,805) (-13/16,-17/21) -> (23/41,9/16) Hyperbolic Matrix(433,350,-1612,-1303) (-17/21,-4/5) -> (-18/67,-11/41) Hyperbolic Matrix(63,50,-155,-123) (-4/5,-11/14) -> (-7/17,-2/5) Hyperbolic Matrix(125,98,713,559) (-11/14,-18/23) -> (4/23,3/17) Hyperbolic Matrix(619,484,1426,1115) (-18/23,-25/32) -> (13/30,10/23) Hyperbolic Matrix(1611,1258,-2542,-1985) (-25/32,-7/9) -> (-45/71,-19/30) Hyperbolic Matrix(311,240,403,311) (-7/9,-10/13) -> (10/13,17/22) Hyperbolic Matrix(683,524,1860,1427) (-10/13,-23/30) -> (11/30,18/49) Hyperbolic Matrix(3659,2804,6231,4775) (-23/30,-36/47) -> (64/109,37/63) Hyperbolic Matrix(559,428,1054,807) (-36/47,-13/17) -> (9/17,8/15) Hyperbolic Matrix(309,236,1054,805) (-13/17,-16/21) -> (12/41,5/17) Hyperbolic Matrix(681,518,-1550,-1179) (-16/21,-3/4) -> (-29/66,-18/41) Hyperbolic Matrix(371,274,-589,-435) (-3/4,-14/19) -> (-12/19,-17/27) Hyperbolic Matrix(185,136,589,433) (-14/19,-11/15) -> (5/16,6/19) Hyperbolic Matrix(63,46,341,249) (-11/15,-8/11) -> (2/11,3/16) Hyperbolic Matrix(185,134,341,247) (-8/11,-13/18) -> (7/13,6/11) Hyperbolic Matrix(1117,806,3782,2729) (-13/18,-44/61) -> (18/61,13/44) Hyperbolic Matrix(993,716,-3782,-2727) (-44/61,-31/43) -> (-5/19,-16/61) Hyperbolic Matrix(247,178,-1550,-1117) (-31/43,-18/25) -> (-4/25,-3/19) Hyperbolic Matrix(1487,1070,2325,1673) (-18/25,-23/32) -> (39/61,16/25) Hyperbolic Matrix(187,134,434,311) (-23/32,-5/7) -> (3/7,13/30) Hyperbolic Matrix(373,264,527,373) (-5/7,-12/17) -> (12/17,17/24) Hyperbolic Matrix(125,88,-527,-371) (-12/17,-19/27) -> (-1/4,-4/17) Hyperbolic Matrix(1303,916,3441,2419) (-19/27,-26/37) -> (14/37,25/66) Hyperbolic Matrix(991,696,-1767,-1241) (-26/37,-7/10) -> (-23/41,-14/25) Hyperbolic Matrix(433,302,-2046,-1427) (-7/10,-23/33) -> (-7/33,-11/52) Hyperbolic Matrix(1675,1166,2139,1489) (-23/33,-16/23) -> (18/23,47/60) Hyperbolic Matrix(435,302,-713,-495) (-16/23,-9/13) -> (-11/18,-14/23) Hyperbolic Matrix(249,172,899,621) (-9/13,-11/16) -> (13/47,5/18) Hyperbolic Matrix(435,298,1178,807) (-11/16,-13/19) -> (7/19,17/46) Hyperbolic Matrix(931,636,-2449,-1673) (-13/19,-15/22) -> (-27/71,-19/50) Hyperbolic Matrix(683,464,-1550,-1053) (-15/22,-2/3) -> (-26/59,-37/84) Hyperbolic Matrix(61,40,93,61) (-2/3,-9/14) -> (11/17,2/3) Hyperbolic Matrix(187,120,-868,-557) (-9/14,-16/25) -> (-8/37,-3/14) Hyperbolic Matrix(185,118,-682,-435) (-16/25,-7/11) -> (-3/11,-10/37) Hyperbolic Matrix(63,40,-682,-433) (-7/11,-33/52) -> (-1/10,-1/11) Hyperbolic Matrix(6137,3894,9672,6137) (-33/52,-59/93) -> (59/93,33/52) Hyperbolic Matrix(4837,3068,7626,4837) (-59/93,-26/41) -> (26/41,59/93) Hyperbolic Matrix(2975,1886,5084,3223) (-26/41,-45/71) -> (31/53,24/41) Hyperbolic Matrix(433,274,1860,1177) (-19/30,-31/49) -> (3/13,7/30) Hyperbolic Matrix(993,628,1178,745) (-31/49,-12/19) -> (16/19,11/13) Hyperbolic Matrix(185,116,-496,-311) (-17/27,-5/8) -> (-3/8,-13/35) Hyperbolic Matrix(1365,848,1798,1117) (-23/37,-41/66) -> (3/4,19/25) Hyperbolic Matrix(4775,2966,6789,4217) (-41/66,-18/29) -> (64/91,19/27) Hyperbolic Matrix(745,462,-1798,-1115) (-18/29,-13/21) -> (-17/41,-12/29) Hyperbolic Matrix(123,76,-403,-249) (-13/21,-8/13) -> (-4/13,-3/10) Hyperbolic Matrix(495,304,806,495) (-8/13,-19/31) -> (19/31,8/13) Hyperbolic Matrix(683,418,1116,683) (-19/31,-11/18) -> (11/18,19/31) Hyperbolic Matrix(247,150,713,433) (-14/23,-17/28) -> (1/3,8/23) Hyperbolic Matrix(433,262,1023,619) (-17/28,-3/5) -> (11/26,25/59) Hyperbolic Matrix(1427,848,1984,1179) (-3/5,-19/32) -> (23/32,41/57) Hyperbolic Matrix(2357,1398,6169,3659) (-19/32,-16/27) -> (34/89,47/123) Hyperbolic Matrix(311,184,1364,807) (-16/27,-13/22) -> (5/22,8/35) Hyperbolic Matrix(61,36,-527,-311) (-13/22,-23/39) -> (-1/8,-1/9) Hyperbolic Matrix(869,512,1054,621) (-23/39,-10/17) -> (14/17,19/23) Hyperbolic Matrix(371,218,1581,929) (-10/17,-27/46) -> (11/47,4/17) Hyperbolic Matrix(559,328,1798,1055) (-27/46,-17/29) -> (9/29,5/16) Hyperbolic Matrix(683,400,-1798,-1053) (-17/29,-7/12) -> (-19/50,-11/29) Hyperbolic Matrix(125,72,217,125) (-7/12,-4/7) -> (4/7,11/19) Hyperbolic Matrix(433,244,-992,-559) (-13/23,-9/16) -> (-7/16,-17/39) Hyperbolic Matrix(805,452,992,557) (-9/16,-23/41) -> (17/21,13/16) Hyperbolic Matrix(1301,728,2325,1301) (-14/25,-19/34) -> (33/59,14/25) Hyperbolic Matrix(247,138,775,433) (-19/34,-5/9) -> (7/22,1/3) Hyperbolic Matrix(247,136,899,495) (-5/9,-11/20) -> (3/11,11/40) Hyperbolic Matrix(681,374,1240,681) (-11/20,-17/31) -> (17/31,11/20) Hyperbolic Matrix(373,204,682,373) (-17/31,-6/11) -> (6/11,17/31) Hyperbolic Matrix(247,134,341,185) (-6/11,-1/2) -> (21/29,8/11) Hyperbolic Matrix(125,58,403,187) (-1/2,-6/13) -> (4/13,9/29) Hyperbolic Matrix(61,28,403,185) (-6/13,-5/11) -> (3/20,2/13) Hyperbolic Matrix(125,56,279,125) (-5/11,-4/9) -> (4/9,9/20) Hyperbolic Matrix(557,246,-2108,-931) (-4/9,-15/34) -> (-9/34,-14/53) Hyperbolic Matrix(2789,1230,6324,2789) (-15/34,-41/93) -> (41/93,15/34) Hyperbolic Matrix(4837,2132,10974,4837) (-41/93,-26/59) -> (26/59,41/93) Hyperbolic Matrix(1549,682,5208,2293) (-37/84,-11/25) -> (11/37,25/84) Hyperbolic Matrix(2543,1118,4092,1799) (-11/25,-29/66) -> (41/66,23/37) Hyperbolic Matrix(187,82,992,435) (-18/41,-7/16) -> (3/16,4/21) Hyperbolic Matrix(2171,946,3844,1675) (-17/39,-27/62) -> (35/62,13/23) Hyperbolic Matrix(2169,944,3844,1673) (-27/62,-10/23) -> (22/39,35/62) Hyperbolic Matrix(1115,484,1426,619) (-10/23,-13/30) -> (25/32,18/23) Hyperbolic Matrix(311,134,434,187) (-13/30,-3/7) -> (5/7,23/32) Hyperbolic Matrix(805,342,1457,619) (-3/7,-14/33) -> (16/29,21/38) Hyperbolic Matrix(619,262,1023,433) (-14/33,-11/26) -> (3/5,20/33) Hyperbolic Matrix(123,52,-589,-249) (-11/26,-8/19) -> (-4/19,-1/5) Hyperbolic Matrix(495,208,1178,495) (-8/19,-13/31) -> (13/31,8/19) Hyperbolic Matrix(311,130,744,311) (-13/31,-5/12) -> (5/12,13/31) Hyperbolic Matrix(433,180,-1643,-683) (-5/12,-22/53) -> (-14/53,-5/19) Hyperbolic Matrix(1861,772,5084,2109) (-22/53,-17/41) -> (15/41,26/71) Hyperbolic Matrix(1239,512,1798,743) (-12/29,-19/46) -> (11/16,20/29) Hyperbolic Matrix(4031,1664,9765,4031) (-19/46,-26/63) -> (26/63,45/109) Hyperbolic Matrix(621,256,2108,869) (-26/63,-7/17) -> (5/17,18/61) Hyperbolic Matrix(61,24,155,61) (-2/5,-5/13) -> (7/18,2/5) Hyperbolic Matrix(433,166,806,309) (-5/13,-18/47) -> (8/15,7/13) Hyperbolic Matrix(559,214,2108,807) (-18/47,-13/34) -> (9/34,4/15) Hyperbolic Matrix(3659,1398,6169,2357) (-13/34,-34/89) -> (16/27,35/59) Hyperbolic Matrix(309,118,2108,805) (-34/89,-21/55) -> (1/7,4/27) Hyperbolic Matrix(807,308,-2759,-1053) (-21/55,-8/21) -> (-12/41,-7/24) Hyperbolic Matrix(2419,920,3100,1179) (-8/21,-27/71) -> (7/9,32/41) Hyperbolic Matrix(2419,916,3441,1303) (-11/29,-14/37) -> (26/37,45/64) Hyperbolic Matrix(249,94,-1147,-433) (-14/37,-3/8) -> (-5/23,-8/37) Hyperbolic Matrix(2419,898,3844,1427) (-13/35,-23/62) -> (39/62,17/27) Hyperbolic Matrix(2417,896,3844,1425) (-23/62,-10/27) -> (22/35,39/62) Hyperbolic Matrix(1363,504,1674,619) (-10/27,-17/46) -> (13/16,22/27) Hyperbolic Matrix(807,298,1178,435) (-17/46,-7/19) -> (13/19,11/16) Hyperbolic Matrix(185,68,1178,433) (-7/19,-18/49) -> (2/13,3/19) Hyperbolic Matrix(1427,524,1860,683) (-18/49,-11/30) -> (23/30,10/13) Hyperbolic Matrix(311,114,341,125) (-11/30,-15/41) -> (9/10,1/1) Hyperbolic Matrix(373,136,1023,373) (-15/41,-4/11) -> (4/11,19/52) Hyperbolic Matrix(61,22,341,123) (-4/11,-5/14) -> (3/17,2/11) Hyperbolic Matrix(309,110,868,309) (-5/14,-11/31) -> (11/31,5/14) Hyperbolic Matrix(373,132,1054,373) (-11/31,-6/17) -> (6/17,11/31) Hyperbolic Matrix(433,152,527,185) (-6/17,-1/3) -> (23/28,14/17) Hyperbolic Matrix(433,136,589,185) (-1/3,-5/16) -> (11/15,25/34) Hyperbolic Matrix(187,58,403,125) (-5/16,-4/13) -> (6/13,7/15) Hyperbolic Matrix(557,166,2077,619) (-3/10,-11/37) -> (15/56,11/41) Hyperbolic Matrix(3595,1068,4588,1363) (-11/37,-19/64) -> (47/60,29/37) Hyperbolic Matrix(1241,368,4185,1241) (-19/64,-8/27) -> (8/27,27/91) Hyperbolic Matrix(433,128,-1891,-559) (-8/27,-13/44) -> (-3/13,-8/35) Hyperbolic Matrix(2729,806,3782,1117) (-13/44,-18/61) -> (44/61,13/18) Hyperbolic Matrix(869,256,2108,621) (-18/61,-5/17) -> (7/17,26/63) Hyperbolic Matrix(805,236,1054,309) (-5/17,-12/41) -> (16/21,13/17) Hyperbolic Matrix(433,126,1488,433) (-7/24,-9/31) -> (9/31,7/24) Hyperbolic Matrix(125,36,434,125) (-9/31,-2/7) -> (2/7,9/31) Hyperbolic Matrix(185,52,217,61) (-2/7,-5/18) -> (11/13,6/7) Hyperbolic Matrix(621,172,899,249) (-5/18,-8/29) -> (20/29,9/13) Hyperbolic Matrix(495,136,899,247) (-8/29,-3/11) -> (11/20,16/29) Hyperbolic Matrix(1985,536,2759,745) (-10/37,-7/26) -> (41/57,18/25) Hyperbolic Matrix(2603,700,3224,867) (-7/26,-25/93) -> (25/31,21/26) Hyperbolic Matrix(2047,550,2542,683) (-25/93,-18/67) -> (4/5,25/31) Hyperbolic Matrix(619,166,2077,557) (-11/41,-4/15) -> (14/47,3/10) Hyperbolic Matrix(807,214,2108,559) (-4/15,-9/34) -> (13/34,18/47) Hyperbolic Matrix(61,16,-713,-187) (-16/61,-11/42) -> (-1/11,0/1) Hyperbolic Matrix(497,130,1426,373) (-11/42,-6/23) -> (8/23,7/20) Hyperbolic Matrix(185,48,713,185) (-6/23,-1/4) -> (7/27,6/23) Hyperbolic Matrix(929,218,1581,371) (-4/17,-7/30) -> (37/63,10/17) Hyperbolic Matrix(1177,274,1860,433) (-7/30,-3/13) -> (31/49,19/30) Hyperbolic Matrix(807,184,1364,311) (-8/35,-5/22) -> (13/22,16/27) Hyperbolic Matrix(309,70,1364,309) (-5/22,-7/31) -> (7/31,5/22) Hyperbolic Matrix(125,28,558,125) (-7/31,-2/9) -> (2/9,7/31) Hyperbolic Matrix(247,54,279,61) (-2/9,-5/23) -> (7/8,8/9) Hyperbolic Matrix(311,66,589,125) (-3/14,-7/33) -> (1/2,9/17) Hyperbolic Matrix(559,118,1767,373) (-11/52,-4/19) -> (6/19,13/41) Hyperbolic Matrix(249,46,341,63) (-1/5,-2/11) -> (8/11,19/26) Hyperbolic Matrix(123,22,341,61) (-2/11,-1/6) -> (9/25,4/11) Hyperbolic Matrix(1921,312,2666,433) (-1/6,-5/31) -> (67/93,49/68) Hyperbolic Matrix(2233,358,3100,497) (-5/31,-4/25) -> (18/25,67/93) Hyperbolic Matrix(433,68,1178,185) (-3/19,-2/13) -> (18/49,7/19) Hyperbolic Matrix(185,28,403,61) (-2/13,-1/7) -> (11/24,6/13) Hyperbolic Matrix(185,26,434,61) (-1/7,-3/22) -> (17/40,3/7) Hyperbolic Matrix(373,50,1395,187) (-3/22,-2/15) -> (4/15,19/71) Hyperbolic Matrix(61,8,465,61) (-2/15,-1/8) -> (3/23,2/15) Hyperbolic Matrix(187,20,589,63) (-1/9,-1/10) -> (13/41,7/22) Hyperbolic Matrix(433,-40,682,-63) (0/1,1/10) -> (33/52,40/63) Hyperbolic Matrix(867,-92,1178,-125) (1/10,1/9) -> (39/53,53/72) Hyperbolic Matrix(311,-36,527,-61) (1/9,1/8) -> (23/39,13/22) Hyperbolic Matrix(125,-16,961,-123) (1/8,4/31) -> (4/31,3/23) Parabolic Matrix(683,-92,2294,-309) (2/15,3/22) -> (25/84,14/47) Hyperbolic Matrix(497,-68,899,-123) (3/22,1/7) -> (21/38,5/9) Hyperbolic Matrix(1117,-178,1550,-247) (3/19,1/6) -> (49/68,31/43) Hyperbolic Matrix(993,-172,1426,-247) (1/6,4/23) -> (16/23,39/56) Hyperbolic Matrix(1179,-226,1612,-309) (4/21,1/5) -> (49/67,30/41) Hyperbolic Matrix(249,-52,589,-123) (1/5,4/19) -> (8/19,11/26) Hyperbolic Matrix(1427,-302,2046,-433) (4/19,7/33) -> (23/33,30/43) Hyperbolic Matrix(2109,-448,2914,-619) (7/33,3/14) -> (55/76,21/29) Hyperbolic Matrix(557,-120,868,-187) (3/14,5/23) -> (25/39,9/14) Hyperbolic Matrix(931,-204,2542,-557) (7/32,2/9) -> (26/71,11/30) Hyperbolic Matrix(559,-128,1891,-433) (8/35,3/13) -> (13/44,8/27) Hyperbolic Matrix(2851,-666,3720,-869) (7/30,11/47) -> (59/77,23/30) Hyperbolic Matrix(371,-88,527,-125) (4/17,1/4) -> (19/27,12/17) Hyperbolic Matrix(249,-64,961,-247) (1/4,8/31) -> (8/31,7/27) Parabolic Matrix(1551,-406,1891,-495) (6/23,11/42) -> (9/11,32/39) Hyperbolic Matrix(2727,-716,3782,-993) (11/42,5/19) -> (31/43,75/104) Hyperbolic Matrix(931,-246,2108,-557) (5/19,9/34) -> (15/34,19/43) Hyperbolic Matrix(2047,-548,3007,-805) (19/71,15/56) -> (17/25,15/22) Hyperbolic Matrix(1303,-350,1612,-433) (11/41,7/26) -> (21/26,17/21) Hyperbolic Matrix(435,-118,682,-185) (7/26,3/11) -> (7/11,23/36) Hyperbolic Matrix(1053,-290,2480,-683) (11/40,8/29) -> (14/33,17/40) Hyperbolic Matrix(1115,-308,2697,-745) (8/29,13/47) -> (19/46,12/29) Hyperbolic Matrix(1549,-432,2449,-683) (5/18,12/43) -> (12/19,31/49) Hyperbolic Matrix(1303,-364,1550,-433) (12/43,7/25) -> (21/25,16/19) Hyperbolic Matrix(1053,-308,2759,-807) (7/24,12/41) -> (8/21,21/55) Hyperbolic Matrix(7131,-2116,24025,-7129) (27/91,46/155) -> (46/155,19/64) Parabolic Matrix(3347,-994,4805,-1427) (19/64,11/37) -> (39/56,23/33) Hyperbolic Matrix(249,-76,403,-123) (3/10,4/13) -> (8/13,13/21) Hyperbolic Matrix(681,-244,868,-311) (5/14,9/25) -> (29/37,11/14) Hyperbolic Matrix(3163,-1156,8649,-3161) (19/52,34/93) -> (34/93,15/41) Parabolic Matrix(311,-116,496,-185) (10/27,3/8) -> (5/8,22/35) Hyperbolic Matrix(1053,-398,1643,-621) (3/8,14/37) -> (16/25,25/39) Hyperbolic Matrix(5083,-1926,8184,-3101) (25/66,11/29) -> (59/95,41/66) Hyperbolic Matrix(1053,-400,1798,-683) (11/29,8/21) -> (24/41,17/29) Hyperbolic Matrix(3969,-1516,4867,-1859) (21/55,34/89) -> (22/27,31/38) Hyperbolic Matrix(4401,-1682,10385,-3969) (47/123,13/34) -> (25/59,39/92) Hyperbolic Matrix(1053,-404,1457,-559) (18/47,5/13) -> (13/18,34/47) Hyperbolic Matrix(373,-144,961,-371) (5/13,12/31) -> (12/31,7/18) Parabolic Matrix(123,-50,155,-63) (2/5,7/17) -> (11/14,4/5) Hyperbolic Matrix(9921,-4096,24025,-9919) (45/109,64/155) -> (64/155,19/46) Parabolic Matrix(1115,-462,1798,-745) (12/29,5/12) -> (31/50,18/29) Hyperbolic Matrix(3721,-1578,6138,-2603) (39/92,14/33) -> (20/33,57/94) Hyperbolic Matrix(559,-244,992,-433) (10/23,7/16) -> (9/16,22/39) Hyperbolic Matrix(931,-408,1271,-557) (7/16,18/41) -> (30/41,11/15) Hyperbolic Matrix(1179,-518,1550,-681) (18/41,11/25) -> (19/25,16/21) Hyperbolic Matrix(1053,-464,1550,-683) (11/25,26/59) -> (2/3,17/25) Hyperbolic Matrix(2171,-960,3503,-1549) (19/43,4/9) -> (44/71,31/50) Hyperbolic Matrix(435,-196,961,-433) (9/20,14/31) -> (14/31,5/11) Parabolic Matrix(557,-254,682,-311) (5/11,11/24) -> (31/38,9/11) Hyperbolic Matrix(309,-146,527,-249) (7/15,1/2) -> (17/29,27/46) Hyperbolic Matrix(1551,-866,2108,-1177) (5/9,19/34) -> (25/34,39/53) Hyperbolic Matrix(4837,-2704,8649,-4835) (19/34,52/93) -> (52/93,33/59) Parabolic Matrix(1241,-696,1767,-991) (14/25,23/41) -> (7/10,26/37) Hyperbolic Matrix(187,-106,217,-123) (13/23,4/7) -> (6/7,7/8) Hyperbolic Matrix(559,-324,961,-557) (11/19,18/31) -> (18/31,7/12) Parabolic Matrix(869,-508,1271,-743) (7/12,31/53) -> (15/22,13/19) Hyperbolic Matrix(13515,-7934,17639,-10355) (27/46,91/155) -> (95/124,59/77) Hyperbolic Matrix(15935,-9356,20801,-12213) (91/155,64/109) -> (36/47,95/124) Hyperbolic Matrix(2727,-1618,4495,-2667) (35/59,19/32) -> (37/61,17/28) Hyperbolic Matrix(931,-554,1457,-867) (19/32,3/5) -> (23/36,39/61) Hyperbolic Matrix(14571,-8836,24025,-14569) (57/94,94/155) -> (94/155,37/61) Parabolic Matrix(1425,-866,1736,-1055) (17/28,14/23) -> (32/39,23/28) Hyperbolic Matrix(495,-302,713,-435) (14/23,11/18) -> (9/13,16/23) Hyperbolic Matrix(807,-500,899,-557) (13/21,44/71) -> (8/9,9/10) Hyperbolic Matrix(11097,-6890,15779,-9797) (18/29,77/124) -> (109/155,64/91) Hyperbolic Matrix(15935,-9896,22661,-14073) (77/124,59/95) -> (45/64,109/155) Hyperbolic Matrix(743,-462,899,-559) (23/37,5/8) -> (19/23,5/6) Hyperbolic Matrix(435,-274,589,-371) (17/27,12/19) -> (14/19,3/4) Hyperbolic Matrix(1985,-1258,2542,-1611) (19/30,26/41) -> (32/41,25/32) Hyperbolic Matrix(5209,-3308,7223,-4587) (40/63,7/11) -> (75/104,44/61) Hyperbolic Matrix(621,-400,961,-619) (9/14,20/31) -> (20/31,11/17) Parabolic Matrix(2419,-1688,3286,-2293) (30/43,7/10) -> (53/72,14/19) Hyperbolic Matrix(683,-484,961,-681) (17/24,22/31) -> (22/31,5/7) Parabolic Matrix(3347,-2422,4371,-3163) (34/47,55/76) -> (13/17,36/47) Hyperbolic Matrix(6325,-4624,8649,-6323) (19/26,68/93) -> (68/93,49/67) Parabolic Matrix(745,-576,961,-743) (17/22,24/31) -> (24/31,7/9) Parabolic Matrix(807,-676,961,-805) (5/6,26/31) -> (26/31,21/25) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,0,1) -> Matrix(1,0,-4,1) Matrix(61,54,279,247) -> Matrix(1,0,-4,1) Matrix(123,106,-217,-187) -> Matrix(3,-2,8,-5) Matrix(61,52,217,185) -> Matrix(3,-2,-4,3) Matrix(559,462,-899,-743) -> Matrix(1,-2,2,-3) Matrix(621,512,1054,869) -> Matrix(1,0,-2,1) Matrix(185,152,527,433) -> Matrix(1,-2,0,1) Matrix(125,102,837,683) -> Matrix(1,0,-2,1) Matrix(619,504,1674,1363) -> Matrix(1,0,-4,1) Matrix(557,452,992,805) -> Matrix(3,-2,-4,3) Matrix(433,350,-1612,-1303) -> Matrix(3,-2,2,-1) Matrix(63,50,-155,-123) -> Matrix(3,-2,2,-1) Matrix(125,98,713,559) -> Matrix(1,0,0,1) Matrix(619,484,1426,1115) -> Matrix(7,-4,-12,7) Matrix(1611,1258,-2542,-1985) -> Matrix(3,-2,8,-5) Matrix(311,240,403,311) -> Matrix(3,-4,-2,3) Matrix(683,524,1860,1427) -> Matrix(1,-2,-2,5) Matrix(3659,2804,6231,4775) -> Matrix(1,-8,0,1) Matrix(559,428,1054,807) -> Matrix(1,2,0,1) Matrix(309,236,1054,805) -> Matrix(1,0,2,1) Matrix(681,518,-1550,-1179) -> Matrix(3,-2,8,-5) Matrix(371,274,-589,-435) -> Matrix(1,0,-2,1) Matrix(185,136,589,433) -> Matrix(1,0,-2,1) Matrix(63,46,341,249) -> Matrix(3,-2,2,-1) Matrix(185,134,341,247) -> Matrix(1,-2,0,1) Matrix(1117,806,3782,2729) -> Matrix(1,0,0,1) Matrix(993,716,-3782,-2727) -> Matrix(1,2,0,1) Matrix(247,178,-1550,-1117) -> Matrix(1,0,4,1) Matrix(1487,1070,2325,1673) -> Matrix(1,0,-4,1) Matrix(187,134,434,311) -> Matrix(3,-2,-4,3) Matrix(373,264,527,373) -> Matrix(1,-2,0,1) Matrix(125,88,-527,-371) -> Matrix(1,0,-2,1) Matrix(1303,916,3441,2419) -> Matrix(3,-4,-2,3) Matrix(991,696,-1767,-1241) -> Matrix(1,-2,2,-3) Matrix(433,302,-2046,-1427) -> Matrix(1,-2,2,-3) Matrix(1675,1166,2139,1489) -> Matrix(1,0,-4,1) Matrix(435,302,-713,-495) -> Matrix(3,-2,2,-1) Matrix(249,172,899,621) -> Matrix(1,0,-2,1) Matrix(435,298,1178,807) -> Matrix(1,0,-2,1) Matrix(931,636,-2449,-1673) -> Matrix(1,0,0,1) Matrix(683,464,-1550,-1053) -> Matrix(1,0,2,1) Matrix(61,40,93,61) -> Matrix(1,0,-2,1) Matrix(187,120,-868,-557) -> Matrix(1,0,0,1) Matrix(185,118,-682,-435) -> Matrix(3,-2,2,-1) Matrix(63,40,-682,-433) -> Matrix(1,0,0,1) Matrix(6137,3894,9672,6137) -> Matrix(1,0,4,1) Matrix(4837,3068,7626,4837) -> Matrix(1,0,-8,1) Matrix(2975,1886,5084,3223) -> Matrix(1,0,-2,1) Matrix(433,274,1860,1177) -> Matrix(3,-2,8,-5) Matrix(993,628,1178,745) -> Matrix(5,-4,-6,5) Matrix(185,116,-496,-311) -> Matrix(1,0,-2,1) Matrix(1365,848,1798,1117) -> Matrix(5,-4,-6,5) Matrix(4775,2966,6789,4217) -> Matrix(7,-6,-8,7) Matrix(745,462,-1798,-1115) -> Matrix(3,-2,2,-1) Matrix(123,76,-403,-249) -> Matrix(1,0,-2,1) Matrix(495,304,806,495) -> Matrix(5,-4,-6,5) Matrix(683,418,1116,683) -> Matrix(5,-6,-4,5) Matrix(247,150,713,433) -> Matrix(1,-2,0,1) Matrix(433,262,1023,619) -> Matrix(3,-2,-4,3) Matrix(1427,848,1984,1179) -> Matrix(1,0,-2,1) Matrix(2357,1398,6169,3659) -> Matrix(1,0,2,1) Matrix(311,184,1364,807) -> Matrix(1,0,6,1) Matrix(61,36,-527,-311) -> Matrix(1,0,-2,1) Matrix(869,512,1054,621) -> Matrix(1,0,-2,1) Matrix(371,218,1581,929) -> Matrix(1,-2,2,-3) Matrix(559,328,1798,1055) -> Matrix(1,4,0,1) Matrix(683,400,-1798,-1053) -> Matrix(1,0,2,1) Matrix(125,72,217,125) -> Matrix(1,0,-4,1) Matrix(433,244,-992,-559) -> Matrix(3,-2,8,-5) Matrix(805,452,992,557) -> Matrix(3,-2,-4,3) Matrix(1301,728,2325,1301) -> Matrix(1,0,-4,1) Matrix(247,138,775,433) -> Matrix(7,-4,2,-1) Matrix(247,136,899,495) -> Matrix(5,-4,-6,5) Matrix(681,374,1240,681) -> Matrix(15,-14,-16,15) Matrix(373,204,682,373) -> Matrix(7,-8,-6,7) Matrix(247,134,341,185) -> Matrix(1,-2,0,1) Matrix(125,58,403,187) -> Matrix(1,2,0,1) Matrix(61,28,403,185) -> Matrix(1,0,0,1) Matrix(125,56,279,125) -> Matrix(1,0,-4,1) Matrix(557,246,-2108,-931) -> Matrix(1,0,-2,1) Matrix(2789,1230,6324,2789) -> Matrix(1,0,-4,1) Matrix(4837,2132,10974,4837) -> Matrix(1,0,-6,1) Matrix(1549,682,5208,2293) -> Matrix(1,0,0,1) Matrix(2543,1118,4092,1799) -> Matrix(7,-2,-10,3) Matrix(187,82,992,435) -> Matrix(1,0,-2,1) Matrix(2171,946,3844,1675) -> Matrix(21,-10,-44,21) Matrix(2169,944,3844,1673) -> Matrix(23,-12,-44,23) Matrix(1115,484,1426,619) -> Matrix(7,-4,-12,7) Matrix(311,134,434,187) -> Matrix(3,-2,-4,3) Matrix(805,342,1457,619) -> Matrix(7,-6,-8,7) Matrix(619,262,1023,433) -> Matrix(3,-2,-4,3) Matrix(123,52,-589,-249) -> Matrix(5,-4,4,-3) Matrix(495,208,1178,495) -> Matrix(17,-16,-18,17) Matrix(311,130,744,311) -> Matrix(9,-10,-8,9) Matrix(433,180,-1643,-683) -> Matrix(1,-2,2,-3) Matrix(1861,772,5084,2109) -> Matrix(1,0,-2,1) Matrix(1239,512,1798,743) -> Matrix(3,-4,-2,3) Matrix(4031,1664,9765,4031) -> Matrix(7,-12,-4,7) Matrix(621,256,2108,869) -> Matrix(1,-2,2,-3) Matrix(61,24,155,61) -> Matrix(1,-2,0,1) Matrix(433,166,806,309) -> Matrix(1,-2,0,1) Matrix(559,214,2108,807) -> Matrix(1,0,0,1) Matrix(3659,1398,6169,2357) -> Matrix(1,0,2,1) Matrix(309,118,2108,805) -> Matrix(1,0,0,1) Matrix(807,308,-2759,-1053) -> Matrix(1,0,-4,1) Matrix(2419,920,3100,1179) -> Matrix(3,-2,-4,3) Matrix(2419,916,3441,1303) -> Matrix(3,-4,-2,3) Matrix(249,94,-1147,-433) -> Matrix(1,-2,2,-3) Matrix(2419,898,3844,1427) -> Matrix(1,0,6,1) Matrix(2417,896,3844,1425) -> Matrix(1,0,-8,1) Matrix(1363,504,1674,619) -> Matrix(1,0,-4,1) Matrix(807,298,1178,435) -> Matrix(1,0,-2,1) Matrix(185,68,1178,433) -> Matrix(1,0,-4,1) Matrix(1427,524,1860,683) -> Matrix(5,-2,-2,1) Matrix(311,114,341,125) -> Matrix(3,-2,-4,3) Matrix(373,136,1023,373) -> Matrix(1,0,-2,1) Matrix(61,22,341,123) -> Matrix(1,0,0,1) Matrix(309,110,868,309) -> Matrix(3,-2,-4,3) Matrix(373,132,1054,373) -> Matrix(5,-6,-4,5) Matrix(433,152,527,185) -> Matrix(1,-2,0,1) Matrix(433,136,589,185) -> Matrix(1,0,-2,1) Matrix(187,58,403,125) -> Matrix(1,2,0,1) Matrix(557,166,2077,619) -> Matrix(3,2,-2,-1) Matrix(3595,1068,4588,1363) -> Matrix(1,0,2,1) Matrix(1241,368,4185,1241) -> Matrix(1,0,2,1) Matrix(433,128,-1891,-559) -> Matrix(1,0,-4,1) Matrix(2729,806,3782,1117) -> Matrix(1,0,0,1) Matrix(869,256,2108,621) -> Matrix(3,2,-2,-1) Matrix(805,236,1054,309) -> Matrix(1,0,2,1) Matrix(433,126,1488,433) -> Matrix(1,0,12,1) Matrix(125,36,434,125) -> Matrix(1,0,-4,1) Matrix(185,52,217,61) -> Matrix(3,-2,-4,3) Matrix(621,172,899,249) -> Matrix(1,0,-2,1) Matrix(495,136,899,247) -> Matrix(5,-4,-6,5) Matrix(1985,536,2759,745) -> Matrix(1,-2,-2,5) Matrix(2603,700,3224,867) -> Matrix(1,-2,-2,5) Matrix(2047,550,2542,683) -> Matrix(1,0,-2,1) Matrix(619,166,2077,557) -> Matrix(1,-2,2,-3) Matrix(807,214,2108,559) -> Matrix(1,0,0,1) Matrix(61,16,-713,-187) -> Matrix(1,-2,0,1) Matrix(497,130,1426,373) -> Matrix(1,-4,0,1) Matrix(185,48,713,185) -> Matrix(1,-6,0,1) Matrix(929,218,1581,371) -> Matrix(3,2,-2,-1) Matrix(1177,274,1860,433) -> Matrix(5,2,-8,-3) Matrix(807,184,1364,311) -> Matrix(1,0,6,1) Matrix(309,70,1364,309) -> Matrix(1,0,20,1) Matrix(125,28,558,125) -> Matrix(1,0,-8,1) Matrix(247,54,279,61) -> Matrix(1,0,-4,1) Matrix(311,66,589,125) -> Matrix(3,-2,2,-1) Matrix(559,118,1767,373) -> Matrix(5,-4,4,-3) Matrix(249,46,341,63) -> Matrix(1,2,-2,-3) Matrix(123,22,341,61) -> Matrix(1,0,0,1) Matrix(1921,312,2666,433) -> Matrix(1,0,8,1) Matrix(2233,358,3100,497) -> Matrix(1,0,-12,1) Matrix(433,68,1178,185) -> Matrix(1,0,-4,1) Matrix(185,28,403,61) -> Matrix(1,0,0,1) Matrix(185,26,434,61) -> Matrix(3,-2,-4,3) Matrix(373,50,1395,187) -> Matrix(1,-4,0,1) Matrix(61,8,465,61) -> Matrix(1,-2,0,1) Matrix(187,20,589,63) -> Matrix(1,2,0,1) Matrix(433,-40,682,-63) -> Matrix(1,0,0,1) Matrix(867,-92,1178,-125) -> Matrix(1,-2,-2,5) Matrix(311,-36,527,-61) -> Matrix(1,0,-2,1) Matrix(125,-16,961,-123) -> Matrix(1,-4,0,1) Matrix(683,-92,2294,-309) -> Matrix(1,2,2,5) Matrix(497,-68,899,-123) -> Matrix(3,4,-4,-5) Matrix(1117,-178,1550,-247) -> Matrix(1,0,4,1) Matrix(993,-172,1426,-247) -> Matrix(1,0,-4,1) Matrix(1179,-226,1612,-309) -> Matrix(1,-2,-2,5) Matrix(249,-52,589,-123) -> Matrix(3,4,-4,-5) Matrix(1427,-302,2046,-433) -> Matrix(3,2,-2,-1) Matrix(2109,-448,2914,-619) -> Matrix(7,4,-2,-1) Matrix(557,-120,868,-187) -> Matrix(1,0,0,1) Matrix(931,-204,2542,-557) -> Matrix(5,2,-8,-3) Matrix(559,-128,1891,-433) -> Matrix(1,0,-4,1) Matrix(2851,-666,3720,-869) -> Matrix(13,-6,-2,1) Matrix(371,-88,527,-125) -> Matrix(1,0,-2,1) Matrix(249,-64,961,-247) -> Matrix(1,-8,0,1) Matrix(1551,-406,1891,-495) -> Matrix(1,2,0,1) Matrix(2727,-716,3782,-993) -> Matrix(1,2,0,1) Matrix(931,-246,2108,-557) -> Matrix(1,0,-2,1) Matrix(2047,-548,3007,-805) -> Matrix(1,2,0,1) Matrix(1303,-350,1612,-433) -> Matrix(1,2,-2,-3) Matrix(435,-118,682,-185) -> Matrix(1,2,-2,-3) Matrix(1053,-290,2480,-683) -> Matrix(1,2,-2,-3) Matrix(1115,-308,2697,-745) -> Matrix(5,4,-4,-3) Matrix(1549,-432,2449,-683) -> Matrix(1,2,-2,-3) Matrix(1303,-364,1550,-433) -> Matrix(5,6,-6,-7) Matrix(1053,-308,2759,-807) -> Matrix(1,0,-4,1) Matrix(7131,-2116,24025,-7129) -> Matrix(1,0,14,1) Matrix(3347,-994,4805,-1427) -> Matrix(1,0,-6,1) Matrix(249,-76,403,-123) -> Matrix(1,0,-2,1) Matrix(681,-244,868,-311) -> Matrix(1,0,0,1) Matrix(3163,-1156,8649,-3161) -> Matrix(5,6,-6,-7) Matrix(311,-116,496,-185) -> Matrix(1,0,-2,1) Matrix(1053,-398,1643,-621) -> Matrix(1,2,-2,-3) Matrix(5083,-1926,8184,-3101) -> Matrix(9,10,-10,-11) Matrix(1053,-400,1798,-683) -> Matrix(1,0,2,1) Matrix(3969,-1516,4867,-1859) -> Matrix(1,0,-2,1) Matrix(4401,-1682,10385,-3969) -> Matrix(3,-2,-4,3) Matrix(1053,-404,1457,-559) -> Matrix(1,0,0,1) Matrix(373,-144,961,-371) -> Matrix(1,-2,0,1) Matrix(123,-50,155,-63) -> Matrix(1,2,-2,-3) Matrix(9921,-4096,24025,-9919) -> Matrix(11,18,-8,-13) Matrix(1115,-462,1798,-745) -> Matrix(1,2,-2,-3) Matrix(3721,-1578,6138,-2603) -> Matrix(3,2,-2,-1) Matrix(559,-244,992,-433) -> Matrix(5,2,-8,-3) Matrix(931,-408,1271,-557) -> Matrix(5,2,-8,-3) Matrix(1179,-518,1550,-681) -> Matrix(5,2,-8,-3) Matrix(1053,-464,1550,-683) -> Matrix(1,0,2,1) Matrix(2171,-960,3503,-1549) -> Matrix(1,0,2,1) Matrix(435,-196,961,-433) -> Matrix(1,0,8,1) Matrix(557,-254,682,-311) -> Matrix(1,0,-2,1) Matrix(309,-146,527,-249) -> Matrix(1,2,0,1) Matrix(1551,-866,2108,-1177) -> Matrix(7,4,-16,-9) Matrix(4837,-2704,8649,-4835) -> Matrix(19,10,-40,-21) Matrix(1241,-696,1767,-991) -> Matrix(3,2,-2,-1) Matrix(187,-106,217,-123) -> Matrix(5,2,-8,-3) Matrix(559,-324,961,-557) -> Matrix(1,0,8,1) Matrix(869,-508,1271,-743) -> Matrix(1,0,-2,1) Matrix(13515,-7934,17639,-10355) -> Matrix(1,-20,0,1) Matrix(15935,-9356,20801,-12213) -> Matrix(1,22,0,1) Matrix(2727,-1618,4495,-2667) -> Matrix(1,0,-2,1) Matrix(931,-554,1457,-867) -> Matrix(1,0,-2,1) Matrix(14571,-8836,24025,-14569) -> Matrix(1,2,-2,-3) Matrix(1425,-866,1736,-1055) -> Matrix(1,0,0,1) Matrix(495,-302,713,-435) -> Matrix(1,2,-2,-3) Matrix(807,-500,899,-557) -> Matrix(1,0,0,1) Matrix(11097,-6890,15779,-9797) -> Matrix(9,10,-10,-11) Matrix(15935,-9896,22661,-14073) -> Matrix(21,20,-20,-19) Matrix(743,-462,899,-559) -> Matrix(3,2,-2,-1) Matrix(435,-274,589,-371) -> Matrix(1,0,-2,1) Matrix(1985,-1258,2542,-1611) -> Matrix(5,2,-8,-3) Matrix(5209,-3308,7223,-4587) -> Matrix(1,0,0,1) Matrix(621,-400,961,-619) -> Matrix(1,0,2,1) Matrix(2419,-1688,3286,-2293) -> Matrix(3,2,-8,-5) Matrix(683,-484,961,-681) -> Matrix(3,4,-4,-5) Matrix(3347,-2422,4371,-3163) -> Matrix(1,4,0,1) Matrix(6325,-4624,8649,-6323) -> Matrix(11,6,-24,-13) Matrix(745,-576,961,-743) -> Matrix(9,10,-10,-11) Matrix(807,-676,961,-805) -> Matrix(9,10,-10,-11) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 64 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 (0/1,1/0) 0 31 1/10 1/2 1 31 1/9 -1/2 1 31 1/8 1/0 1 31 4/31 1/0 4 1 2/15 (-1/1,1/0) 0 31 3/22 1/0 1 31 1/7 -1/2 1 31 2/13 (-1/1,0/1) 0 31 3/19 -1/2 1 31 1/6 1/2 1 31 2/11 (0/1,1/1) 0 31 1/5 1/0 1 31 4/19 (-1/1,-4/5) 0 31 7/33 -5/8 1 31 3/14 -1/2 1 31 5/23 -1/2 1 31 2/9 (-1/4,0/1) 0 31 7/31 0/1 14 1 5/22 1/10 1 31 8/35 (0/1,1/5) 0 31 3/13 1/4 1 31 7/30 1/2 1 31 4/17 (1/2,1/1) 0 31 1/4 1/0 1 31 8/31 1/0 8 1 6/23 (-3/1,1/0) 0 31 11/42 1/0 1 31 5/19 -3/2 1 31 9/34 1/0 1 31 4/15 (-3/1,1/0) 0 31 11/41 1/0 1 31 7/26 1/0 1 31 3/11 -3/2 1 31 8/29 (-1/1,0/1) 0 31 5/18 -1/2 1 31 2/7 (-1/2,0/1) 0 31 9/31 0/1 8 1 7/24 1/6 1 31 12/41 (0/1,1/4) 0 31 5/17 1/2 1 31 18/61 (0/1,1/0) 0 31 13/44 1/0 1 31 8/27 (0/1,1/1) 0 31 46/155 0/1 14 1 19/64 1/8 1 31 11/37 1/4 1 31 25/84 1/2 1 31 14/47 (1/3,1/2) 0 31 3/10 1/2 1 31 4/13 (1/1,2/1) 0 31 5/16 1/0 1 31 1/3 1/0 1 31 6/17 (-3/2,-1/1) 0 31 11/31 -1/1 4 1 5/14 -1/2 1 31 9/25 -1/2 1 31 4/11 (-1/1,0/1) 0 31 34/93 -1/1 6 1 15/41 -3/4 1 31 11/30 -1/2 1 31 18/49 (-1/3,0/1) 0 31 7/19 -1/2 1 31 17/46 -1/2 1 31 10/27 (-1/3,0/1) 0 31 3/8 1/0 1 31 14/37 (-2/1,-3/2) 0 31 11/29 -3/4 1 31 8/21 (0/1,1/0) 0 31 21/55 1/2 1 31 34/89 (0/1,1/1) 0 31 13/34 1/0 1 31 18/47 (3/1,1/0) 0 31 5/13 1/0 1 31 12/31 1/0 2 1 2/5 (-1/1,1/0) 0 31 7/17 1/0 1 31 26/63 (-2/1,-3/2) 0 31 64/155 -3/2 2 1 19/46 -3/2 1 31 12/29 (-4/3,-1/1) 0 31 5/12 -5/4 1 31 13/31 -1/1 13 1 8/19 (-1/1,-8/9) 0 31 11/26 -3/4 1 31 14/33 (-1/1,-2/3) 0 31 3/7 -1/2 1 31 13/30 -1/2 1 31 10/23 (-5/9,-1/2) 0 31 7/16 -1/2 1 31 18/41 (-1/2,-2/5) 0 31 11/25 -1/4 1 31 26/59 (-1/3,0/1) 0 31 41/93 0/1 1 1 15/34 -1/2 1 31 19/43 -3/8 1 31 4/9 (-1/2,0/1) 0 31 14/31 0/1 8 1 5/11 1/2 1 31 11/24 1/2 1 31 6/13 (0/1,1/1) 0 31 7/15 1/0 1 31 1/2 -1/2 1 31 6/11 (-4/3,-1/1) 0 31 17/31 -1/1 11 1 11/20 -7/8 1 31 16/29 (-1/1,-4/5) 0 31 21/38 -5/6 1 31 5/9 -3/4 1 31 19/34 -1/2 1 31 52/93 -1/2 10 1 14/25 (-1/2,0/1) 0 31 23/41 -1/2 1 31 9/16 -1/2 1 31 22/39 (-7/13,-1/2) 0 31 35/62 -1/2 11 1 13/23 -1/2 1 31 4/7 (-1/2,0/1) 0 31 18/31 0/1 8 1 7/12 1/2 1 31 31/53 1/2 1 31 24/41 (0/1,1/2) 0 31 17/29 3/2 1 31 27/46 1/0 1 31 37/63 1/0 1 31 10/17 (-1/1,1/0) 0 31 23/39 -1/2 1 31 13/22 -1/4 1 31 16/27 (0/1,1/1) 0 31 35/59 1/2 1 31 19/32 1/0 1 31 3/5 1/0 1 31 20/33 (-1/1,0/1) 0 31 94/155 -1/1 2 1 37/61 -1/2 1 31 17/28 1/0 1 31 14/23 (-1/1,1/0) 0 31 11/18 -3/2 1 31 19/31 -1/1 5 1 8/13 (-1/1,-2/3) 0 31 13/21 1/0 1 31 44/71 (0/1,1/0) 0 31 31/50 -3/2 1 31 18/29 (-2/1,-1/1) 0 31 41/66 -5/6 1 31 23/37 -1/2 1 31 5/8 -1/2 1 31 22/35 (-1/5,0/1) 0 31 39/62 0/1 7 1 17/27 1/2 1 31 12/19 (-1/1,0/1) 0 31 31/49 -3/4 1 31 19/30 -1/2 1 31 26/41 (-1/4,0/1) 0 31 59/93 0/1 6 1 33/52 1/2 1 31 40/63 (0/1,1/0) 0 31 7/11 1/0 1 31 23/36 -1/2 1 31 16/25 (0/1,1/0) 0 31 25/39 -1/2 1 31 9/14 -1/2 1 31 20/31 0/1 2 1 2/3 (-1/1,0/1) 0 31 17/25 -1/2 1 31 15/22 1/0 1 31 13/19 1/0 1 31 11/16 1/0 1 31 20/29 (-1/1,0/1) 0 31 9/13 1/0 1 31 16/23 (-1/1,-1/2) 0 31 23/33 1/2 1 31 30/43 (-1/1,-2/3) 0 31 7/10 1/0 1 31 26/37 (-2/1,1/0) 0 31 45/64 -7/6 1 31 109/155 -1/1 15 1 64/91 (-1/1,-8/9) 0 31 19/27 -1/2 1 31 12/17 (-1/1,1/0) 0 31 22/31 -1/1 4 1 5/7 -1/2 1 31 23/32 -1/2 1 31 41/57 -1/2 1 31 18/25 (-1/4,0/1) 0 31 67/93 0/1 10 1 49/68 1/6 1 31 31/43 1/2 1 31 75/104 1/0 1 31 44/61 (0/1,1/0) 0 31 13/18 1/0 1 31 34/47 (3/1,1/0) 0 31 55/76 1/0 1 31 21/29 -3/2 1 31 8/11 (-1/1,-2/3) 0 31 19/26 -1/2 1 31 68/93 -1/2 6 1 30/41 (-1/2,0/1) 0 31 11/15 -1/2 1 31 25/34 -1/2 1 31 39/53 -5/12 1 31 53/72 -3/8 1 31 14/19 (-1/3,0/1) 0 31 3/4 1/0 1 31 19/25 -3/4 1 31 16/21 (-1/2,0/1) 0 31 13/17 1/0 1 31 36/47 (7/1,1/0) 0 31 95/124 1/0 21 1 59/77 1/0 1 31 23/30 1/0 1 31 10/13 (-2/1,-1/1) 0 31 24/31 -1/1 10 1 7/9 -3/4 1 31 32/41 (-3/4,-2/3) 0 31 25/32 -1/2 1 31 18/23 (-1/2,-1/3) 0 31 47/60 -1/6 1 31 29/37 -1/2 1 31 11/14 -1/2 1 31 4/5 (-1/1,-1/2) 0 31 25/31 -1/2 1 1 21/26 -1/2 1 31 17/21 -1/2 1 31 13/16 -1/2 1 31 22/27 (-1/1,0/1) 0 31 31/38 1/0 1 31 9/11 1/0 1 31 32/39 (-1/1,1/0) 0 31 23/28 1/0 1 31 14/17 (-1/1,-1/2) 0 31 19/23 1/0 1 31 5/6 1/0 1 31 26/31 -1/1 10 1 16/19 (-1/1,-4/5) 0 31 11/13 -1/2 1 31 6/7 (-2/3,-1/2) 0 31 7/8 -1/2 1 31 8/9 (0/1,1/0) 0 31 9/10 1/0 1 31 1/1 -1/2 1 31 1/0 0/1 2 1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(433,-40,682,-63) (0/1,1/10) -> (33/52,40/63) Hyperbolic Matrix(867,-92,1178,-125) (1/10,1/9) -> (39/53,53/72) Hyperbolic Matrix(311,-36,527,-61) (1/9,1/8) -> (23/39,13/22) Hyperbolic Matrix(63,-8,496,-63) (1/8,4/31) -> (1/8,4/31) Reflection Matrix(61,-8,465,-61) (4/31,2/15) -> (4/31,2/15) Reflection Matrix(683,-92,2294,-309) (2/15,3/22) -> (25/84,14/47) Hyperbolic Matrix(497,-68,899,-123) (3/22,1/7) -> (21/38,5/9) Hyperbolic Matrix(185,-28,403,-61) (1/7,2/13) -> (11/24,6/13) Glide Reflection Matrix(433,-68,1178,-185) (2/13,3/19) -> (18/49,7/19) Glide Reflection Matrix(1117,-178,1550,-247) (3/19,1/6) -> (49/68,31/43) Hyperbolic Matrix(123,-22,341,-61) (1/6,2/11) -> (9/25,4/11) Glide Reflection Matrix(249,-46,341,-63) (2/11,1/5) -> (8/11,19/26) Glide Reflection Matrix(249,-52,589,-123) (1/5,4/19) -> (8/19,11/26) Hyperbolic Matrix(1427,-302,2046,-433) (4/19,7/33) -> (23/33,30/43) Hyperbolic Matrix(2109,-448,2914,-619) (7/33,3/14) -> (55/76,21/29) Hyperbolic Matrix(557,-120,868,-187) (3/14,5/23) -> (25/39,9/14) Hyperbolic Matrix(247,-54,279,-61) (5/23,2/9) -> (7/8,8/9) Glide Reflection Matrix(125,-28,558,-125) (2/9,7/31) -> (2/9,7/31) Reflection Matrix(309,-70,1364,-309) (7/31,5/22) -> (7/31,5/22) Reflection Matrix(807,-184,1364,-311) (5/22,8/35) -> (13/22,16/27) Glide Reflection Matrix(559,-128,1891,-433) (8/35,3/13) -> (13/44,8/27) Hyperbolic Matrix(1177,-274,1860,-433) (3/13,7/30) -> (31/49,19/30) Glide Reflection Matrix(929,-218,1581,-371) (7/30,4/17) -> (37/63,10/17) Glide Reflection Matrix(371,-88,527,-125) (4/17,1/4) -> (19/27,12/17) Hyperbolic Matrix(63,-16,248,-63) (1/4,8/31) -> (1/4,8/31) Reflection Matrix(185,-48,713,-185) (8/31,6/23) -> (8/31,6/23) Reflection Matrix(1551,-406,1891,-495) (6/23,11/42) -> (9/11,32/39) Hyperbolic Matrix(2727,-716,3782,-993) (11/42,5/19) -> (31/43,75/104) Hyperbolic Matrix(931,-246,2108,-557) (5/19,9/34) -> (15/34,19/43) Hyperbolic Matrix(807,-214,2108,-559) (9/34,4/15) -> (13/34,18/47) Glide Reflection Matrix(619,-166,2077,-557) (4/15,11/41) -> (14/47,3/10) Glide Reflection Matrix(1303,-350,1612,-433) (11/41,7/26) -> (21/26,17/21) Hyperbolic Matrix(435,-118,682,-185) (7/26,3/11) -> (7/11,23/36) Hyperbolic Matrix(495,-136,899,-247) (3/11,8/29) -> (11/20,16/29) Glide Reflection Matrix(621,-172,899,-249) (8/29,5/18) -> (20/29,9/13) Glide Reflection Matrix(185,-52,217,-61) (5/18,2/7) -> (11/13,6/7) Glide Reflection Matrix(125,-36,434,-125) (2/7,9/31) -> (2/7,9/31) Reflection Matrix(433,-126,1488,-433) (9/31,7/24) -> (9/31,7/24) Reflection Matrix(1053,-308,2759,-807) (7/24,12/41) -> (8/21,21/55) Hyperbolic Matrix(805,-236,1054,-309) (12/41,5/17) -> (16/21,13/17) Glide Reflection Matrix(869,-256,2108,-621) (5/17,18/61) -> (7/17,26/63) Glide Reflection Matrix(2729,-806,3782,-1117) (18/61,13/44) -> (44/61,13/18) Glide Reflection Matrix(1241,-368,4185,-1241) (8/27,46/155) -> (8/27,46/155) Reflection Matrix(5889,-1748,19840,-5889) (46/155,19/64) -> (46/155,19/64) Reflection Matrix(3595,-1068,4588,-1363) (19/64,11/37) -> (47/60,29/37) Glide Reflection Matrix(1983,-590,2914,-867) (11/37,25/84) -> (17/25,15/22) Glide Reflection Matrix(249,-76,403,-123) (3/10,4/13) -> (8/13,13/21) Hyperbolic Matrix(187,-58,403,-125) (4/13,5/16) -> (6/13,7/15) Glide Reflection Matrix(433,-136,589,-185) (5/16,1/3) -> (11/15,25/34) Glide Reflection Matrix(433,-152,527,-185) (1/3,6/17) -> (23/28,14/17) Glide Reflection Matrix(373,-132,1054,-373) (6/17,11/31) -> (6/17,11/31) Reflection Matrix(309,-110,868,-309) (11/31,5/14) -> (11/31,5/14) Reflection Matrix(681,-244,868,-311) (5/14,9/25) -> (29/37,11/14) Hyperbolic Matrix(373,-136,1023,-373) (4/11,34/93) -> (4/11,34/93) Reflection Matrix(2789,-1020,7626,-2789) (34/93,15/41) -> (34/93,15/41) Reflection Matrix(311,-114,341,-125) (15/41,11/30) -> (9/10,1/1) Glide Reflection Matrix(1427,-524,1860,-683) (11/30,18/49) -> (23/30,10/13) Glide Reflection Matrix(807,-298,1178,-435) (7/19,17/46) -> (13/19,11/16) Glide Reflection Matrix(1363,-504,1674,-619) (17/46,10/27) -> (13/16,22/27) Glide Reflection Matrix(311,-116,496,-185) (10/27,3/8) -> (5/8,22/35) Hyperbolic Matrix(1053,-398,1643,-621) (3/8,14/37) -> (16/25,25/39) Hyperbolic Matrix(2419,-916,3441,-1303) (14/37,11/29) -> (26/37,45/64) Glide Reflection Matrix(1053,-400,1798,-683) (11/29,8/21) -> (24/41,17/29) Hyperbolic Matrix(3969,-1516,4867,-1859) (21/55,34/89) -> (22/27,31/38) Hyperbolic Matrix(3659,-1398,6169,-2357) (34/89,13/34) -> (16/27,35/59) Glide Reflection Matrix(1053,-404,1457,-559) (18/47,5/13) -> (13/18,34/47) Hyperbolic Matrix(311,-120,806,-311) (5/13,12/31) -> (5/13,12/31) Reflection Matrix(61,-24,155,-61) (12/31,2/5) -> (12/31,2/5) Reflection Matrix(123,-50,155,-63) (2/5,7/17) -> (11/14,4/5) Hyperbolic Matrix(4031,-1664,9765,-4031) (26/63,64/155) -> (26/63,64/155) Reflection Matrix(5889,-2432,14260,-5889) (64/155,19/46) -> (64/155,19/46) Reflection Matrix(1239,-512,1798,-743) (19/46,12/29) -> (11/16,20/29) Glide Reflection Matrix(1115,-462,1798,-745) (12/29,5/12) -> (31/50,18/29) Hyperbolic Matrix(311,-130,744,-311) (5/12,13/31) -> (5/12,13/31) Reflection Matrix(495,-208,1178,-495) (13/31,8/19) -> (13/31,8/19) Reflection Matrix(619,-262,1023,-433) (11/26,14/33) -> (3/5,20/33) Glide Reflection Matrix(805,-342,1457,-619) (14/33,3/7) -> (16/29,21/38) Glide Reflection Matrix(311,-134,434,-187) (3/7,13/30) -> (5/7,23/32) Glide Reflection Matrix(1115,-484,1426,-619) (13/30,10/23) -> (25/32,18/23) Glide Reflection Matrix(559,-244,992,-433) (10/23,7/16) -> (9/16,22/39) Hyperbolic Matrix(931,-408,1271,-557) (7/16,18/41) -> (30/41,11/15) Hyperbolic Matrix(1179,-518,1550,-681) (18/41,11/25) -> (19/25,16/21) Hyperbolic Matrix(1053,-464,1550,-683) (11/25,26/59) -> (2/3,17/25) Hyperbolic Matrix(4837,-2132,10974,-4837) (26/59,41/93) -> (26/59,41/93) Reflection Matrix(2789,-1230,6324,-2789) (41/93,15/34) -> (41/93,15/34) Reflection Matrix(2171,-960,3503,-1549) (19/43,4/9) -> (44/71,31/50) Hyperbolic Matrix(125,-56,279,-125) (4/9,14/31) -> (4/9,14/31) Reflection Matrix(309,-140,682,-309) (14/31,5/11) -> (14/31,5/11) Reflection Matrix(557,-254,682,-311) (5/11,11/24) -> (31/38,9/11) Hyperbolic Matrix(309,-146,527,-249) (7/15,1/2) -> (17/29,27/46) Hyperbolic Matrix(247,-134,341,-185) (1/2,6/11) -> (21/29,8/11) Glide Reflection Matrix(373,-204,682,-373) (6/11,17/31) -> (6/11,17/31) Reflection Matrix(681,-374,1240,-681) (17/31,11/20) -> (17/31,11/20) Reflection Matrix(1551,-866,2108,-1177) (5/9,19/34) -> (25/34,39/53) Hyperbolic Matrix(3535,-1976,6324,-3535) (19/34,52/93) -> (19/34,52/93) Reflection Matrix(1301,-728,2325,-1301) (52/93,14/25) -> (52/93,14/25) Reflection Matrix(1241,-696,1767,-991) (14/25,23/41) -> (7/10,26/37) Hyperbolic Matrix(805,-452,992,-557) (23/41,9/16) -> (17/21,13/16) Glide Reflection Matrix(2729,-1540,4836,-2729) (22/39,35/62) -> (22/39,35/62) Reflection Matrix(1611,-910,2852,-1611) (35/62,13/23) -> (35/62,13/23) Reflection Matrix(187,-106,217,-123) (13/23,4/7) -> (6/7,7/8) Hyperbolic Matrix(125,-72,217,-125) (4/7,18/31) -> (4/7,18/31) Reflection Matrix(433,-252,744,-433) (18/31,7/12) -> (18/31,7/12) Reflection Matrix(869,-508,1271,-743) (7/12,31/53) -> (15/22,13/19) Hyperbolic Matrix(1983,-1160,2542,-1487) (31/53,24/41) -> (7/9,32/41) Glide Reflection Matrix(4775,-2804,6231,-3659) (27/46,37/63) -> (59/77,23/30) Glide Reflection Matrix(869,-512,1054,-621) (10/17,23/39) -> (14/17,19/23) Glide Reflection Matrix(2727,-1618,4495,-2667) (35/59,19/32) -> (37/61,17/28) Hyperbolic Matrix(1427,-848,1984,-1179) (19/32,3/5) -> (23/32,41/57) Glide Reflection Matrix(3101,-1880,5115,-3101) (20/33,94/155) -> (20/33,94/155) Reflection Matrix(11469,-6956,18910,-11469) (94/155,37/61) -> (94/155,37/61) Reflection Matrix(1425,-866,1736,-1055) (17/28,14/23) -> (32/39,23/28) Hyperbolic Matrix(495,-302,713,-435) (14/23,11/18) -> (9/13,16/23) Hyperbolic Matrix(683,-418,1116,-683) (11/18,19/31) -> (11/18,19/31) Reflection Matrix(495,-304,806,-495) (19/31,8/13) -> (19/31,8/13) Reflection Matrix(807,-500,899,-557) (13/21,44/71) -> (8/9,9/10) Hyperbolic Matrix(4775,-2966,6789,-4217) (18/29,41/66) -> (64/91,19/27) Glide Reflection Matrix(1365,-848,1798,-1117) (41/66,23/37) -> (3/4,19/25) Glide Reflection Matrix(743,-462,899,-559) (23/37,5/8) -> (19/23,5/6) Hyperbolic Matrix(2729,-1716,4340,-2729) (22/35,39/62) -> (22/35,39/62) Reflection Matrix(2107,-1326,3348,-2107) (39/62,17/27) -> (39/62,17/27) Reflection Matrix(435,-274,589,-371) (17/27,12/19) -> (14/19,3/4) Hyperbolic Matrix(993,-628,1178,-745) (12/19,31/49) -> (16/19,11/13) Glide Reflection Matrix(1985,-1258,2542,-1611) (19/30,26/41) -> (32/41,25/32) Hyperbolic Matrix(4837,-3068,7626,-4837) (26/41,59/93) -> (26/41,59/93) Reflection Matrix(6137,-3894,9672,-6137) (59/93,33/52) -> (59/93,33/52) Reflection Matrix(5209,-3308,7223,-4587) (40/63,7/11) -> (75/104,44/61) Hyperbolic Matrix(1673,-1070,2325,-1487) (23/36,16/25) -> (41/57,18/25) Glide Reflection Matrix(559,-360,868,-559) (9/14,20/31) -> (9/14,20/31) Reflection Matrix(61,-40,93,-61) (20/31,2/3) -> (20/31,2/3) Reflection Matrix(1675,-1166,2139,-1489) (16/23,23/33) -> (18/23,47/60) Glide Reflection Matrix(2419,-1688,3286,-2293) (30/43,7/10) -> (53/72,14/19) Hyperbolic Matrix(13951,-9810,19840,-13951) (45/64,109/155) -> (45/64,109/155) Reflection Matrix(19839,-13952,28210,-19839) (109/155,64/91) -> (109/155,64/91) Reflection Matrix(373,-264,527,-373) (12/17,22/31) -> (12/17,22/31) Reflection Matrix(309,-220,434,-309) (22/31,5/7) -> (22/31,5/7) Reflection Matrix(3349,-2412,4650,-3349) (18/25,67/93) -> (18/25,67/93) Reflection Matrix(9113,-6566,12648,-9113) (67/93,49/68) -> (67/93,49/68) Reflection Matrix(3347,-2422,4371,-3163) (34/47,55/76) -> (13/17,36/47) Hyperbolic Matrix(3535,-2584,4836,-3535) (19/26,68/93) -> (19/26,68/93) Reflection Matrix(2789,-2040,3813,-2789) (68/93,30/41) -> (68/93,30/41) Reflection Matrix(8929,-6840,11656,-8929) (36/47,95/124) -> (36/47,95/124) Reflection Matrix(14631,-11210,19096,-14631) (95/124,59/77) -> (95/124,59/77) Reflection Matrix(311,-240,403,-311) (10/13,24/31) -> (10/13,24/31) Reflection Matrix(433,-336,558,-433) (24/31,7/9) -> (24/31,7/9) Reflection Matrix(249,-200,310,-249) (4/5,25/31) -> (4/5,25/31) Reflection Matrix(1301,-1050,1612,-1301) (25/31,21/26) -> (25/31,21/26) Reflection Matrix(311,-260,372,-311) (5/6,26/31) -> (5/6,26/31) Reflection Matrix(495,-416,589,-495) (26/31,16/19) -> (26/31,16/19) Reflection Matrix(-1,2,0,1) (1/1,1/0) -> (1/1,1/0) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Matrix(433,-40,682,-63) -> Matrix(1,0,0,1) Matrix(867,-92,1178,-125) -> Matrix(1,-2,-2,5) Matrix(311,-36,527,-61) -> Matrix(1,0,-2,1) 0/1 Matrix(63,-8,496,-63) -> Matrix(-1,2,0,1) (1/8,4/31) -> (1/1,1/0) Matrix(61,-8,465,-61) -> Matrix(1,2,0,-1) (4/31,2/15) -> (-1/1,1/0) Matrix(683,-92,2294,-309) -> Matrix(1,2,2,5) Matrix(497,-68,899,-123) -> Matrix(3,4,-4,-5) -1/1 Matrix(185,-28,403,-61) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(433,-68,1178,-185) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(1117,-178,1550,-247) -> Matrix(1,0,4,1) 0/1 Matrix(123,-22,341,-61) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(249,-46,341,-63) -> Matrix(1,-2,-2,3) Matrix(249,-52,589,-123) -> Matrix(3,4,-4,-5) -1/1 Matrix(1427,-302,2046,-433) -> Matrix(3,2,-2,-1) -1/1 Matrix(2109,-448,2914,-619) -> Matrix(7,4,-2,-1) Matrix(557,-120,868,-187) -> Matrix(1,0,0,1) Matrix(247,-54,279,-61) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(125,-28,558,-125) -> Matrix(-1,0,8,1) (2/9,7/31) -> (-1/4,0/1) Matrix(309,-70,1364,-309) -> Matrix(1,0,20,-1) (7/31,5/22) -> (0/1,1/10) Matrix(807,-184,1364,-311) -> Matrix(1,0,6,-1) *** -> (0/1,1/3) Matrix(559,-128,1891,-433) -> Matrix(1,0,-4,1) 0/1 Matrix(1177,-274,1860,-433) -> Matrix(5,-2,-8,3) Matrix(929,-218,1581,-371) -> Matrix(3,-2,-2,1) Matrix(371,-88,527,-125) -> Matrix(1,0,-2,1) 0/1 Matrix(63,-16,248,-63) -> Matrix(-1,2,0,1) (1/4,8/31) -> (1/1,1/0) Matrix(185,-48,713,-185) -> Matrix(1,6,0,-1) (8/31,6/23) -> (-3/1,1/0) Matrix(1551,-406,1891,-495) -> Matrix(1,2,0,1) 1/0 Matrix(2727,-716,3782,-993) -> Matrix(1,2,0,1) 1/0 Matrix(931,-246,2108,-557) -> Matrix(1,0,-2,1) 0/1 Matrix(807,-214,2108,-559) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(619,-166,2077,-557) -> Matrix(1,2,2,3) Matrix(1303,-350,1612,-433) -> Matrix(1,2,-2,-3) -1/1 Matrix(435,-118,682,-185) -> Matrix(1,2,-2,-3) -1/1 Matrix(495,-136,899,-247) -> Matrix(5,4,-6,-5) *** -> (-1/1,-2/3) Matrix(621,-172,899,-249) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(185,-52,217,-61) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(125,-36,434,-125) -> Matrix(-1,0,4,1) (2/7,9/31) -> (-1/2,0/1) Matrix(433,-126,1488,-433) -> Matrix(1,0,12,-1) (9/31,7/24) -> (0/1,1/6) Matrix(1053,-308,2759,-807) -> Matrix(1,0,-4,1) 0/1 Matrix(805,-236,1054,-309) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(869,-256,2108,-621) -> Matrix(3,-2,-2,1) Matrix(2729,-806,3782,-1117) -> Matrix(1,0,0,-1) *** -> (0/1,1/0) Matrix(1241,-368,4185,-1241) -> Matrix(1,0,2,-1) (8/27,46/155) -> (0/1,1/1) Matrix(5889,-1748,19840,-5889) -> Matrix(1,0,16,-1) (46/155,19/64) -> (0/1,1/8) Matrix(3595,-1068,4588,-1363) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1983,-590,2914,-867) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(249,-76,403,-123) -> Matrix(1,0,-2,1) 0/1 Matrix(187,-58,403,-125) -> Matrix(-1,2,0,1) *** -> (1/1,1/0) Matrix(433,-136,589,-185) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(433,-152,527,-185) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(373,-132,1054,-373) -> Matrix(5,6,-4,-5) (6/17,11/31) -> (-3/2,-1/1) Matrix(309,-110,868,-309) -> Matrix(3,2,-4,-3) (11/31,5/14) -> (-1/1,-1/2) Matrix(681,-244,868,-311) -> Matrix(1,0,0,1) Matrix(373,-136,1023,-373) -> Matrix(-1,0,2,1) (4/11,34/93) -> (-1/1,0/1) Matrix(2789,-1020,7626,-2789) -> Matrix(7,6,-8,-7) (34/93,15/41) -> (-1/1,-3/4) Matrix(311,-114,341,-125) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(1427,-524,1860,-683) -> Matrix(5,2,-2,-1) Matrix(807,-298,1178,-435) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(1363,-504,1674,-619) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(311,-116,496,-185) -> Matrix(1,0,-2,1) 0/1 Matrix(1053,-398,1643,-621) -> Matrix(1,2,-2,-3) -1/1 Matrix(2419,-916,3441,-1303) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(1053,-400,1798,-683) -> Matrix(1,0,2,1) 0/1 Matrix(3969,-1516,4867,-1859) -> Matrix(1,0,-2,1) 0/1 Matrix(3659,-1398,6169,-2357) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1053,-404,1457,-559) -> Matrix(1,0,0,1) Matrix(311,-120,806,-311) -> Matrix(1,0,0,-1) (5/13,12/31) -> (0/1,1/0) Matrix(61,-24,155,-61) -> Matrix(1,2,0,-1) (12/31,2/5) -> (-1/1,1/0) Matrix(123,-50,155,-63) -> Matrix(1,2,-2,-3) -1/1 Matrix(4031,-1664,9765,-4031) -> Matrix(7,12,-4,-7) (26/63,64/155) -> (-2/1,-3/2) Matrix(5889,-2432,14260,-5889) -> Matrix(5,6,-4,-5) (64/155,19/46) -> (-3/2,-1/1) Matrix(1239,-512,1798,-743) -> Matrix(3,4,-2,-3) *** -> (-2/1,-1/1) Matrix(1115,-462,1798,-745) -> Matrix(1,2,-2,-3) -1/1 Matrix(311,-130,744,-311) -> Matrix(9,10,-8,-9) (5/12,13/31) -> (-5/4,-1/1) Matrix(495,-208,1178,-495) -> Matrix(17,16,-18,-17) (13/31,8/19) -> (-1/1,-8/9) Matrix(619,-262,1023,-433) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(805,-342,1457,-619) -> Matrix(7,6,-8,-7) *** -> (-1/1,-3/4) Matrix(311,-134,434,-187) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(1115,-484,1426,-619) -> Matrix(7,4,-12,-7) *** -> (-2/3,-1/2) Matrix(559,-244,992,-433) -> Matrix(5,2,-8,-3) -1/2 Matrix(931,-408,1271,-557) -> Matrix(5,2,-8,-3) -1/2 Matrix(1179,-518,1550,-681) -> Matrix(5,2,-8,-3) -1/2 Matrix(1053,-464,1550,-683) -> Matrix(1,0,2,1) 0/1 Matrix(4837,-2132,10974,-4837) -> Matrix(-1,0,6,1) (26/59,41/93) -> (-1/3,0/1) Matrix(2789,-1230,6324,-2789) -> Matrix(-1,0,4,1) (41/93,15/34) -> (-1/2,0/1) Matrix(2171,-960,3503,-1549) -> Matrix(1,0,2,1) 0/1 Matrix(125,-56,279,-125) -> Matrix(-1,0,4,1) (4/9,14/31) -> (-1/2,0/1) Matrix(309,-140,682,-309) -> Matrix(1,0,4,-1) (14/31,5/11) -> (0/1,1/2) Matrix(557,-254,682,-311) -> Matrix(1,0,-2,1) 0/1 Matrix(309,-146,527,-249) -> Matrix(1,2,0,1) 1/0 Matrix(247,-134,341,-185) -> Matrix(1,2,0,-1) *** -> (-1/1,1/0) Matrix(373,-204,682,-373) -> Matrix(7,8,-6,-7) (6/11,17/31) -> (-4/3,-1/1) Matrix(681,-374,1240,-681) -> Matrix(15,14,-16,-15) (17/31,11/20) -> (-1/1,-7/8) Matrix(1551,-866,2108,-1177) -> Matrix(7,4,-16,-9) -1/2 Matrix(3535,-1976,6324,-3535) -> Matrix(19,10,-36,-19) (19/34,52/93) -> (-5/9,-1/2) Matrix(1301,-728,2325,-1301) -> Matrix(-1,0,4,1) (52/93,14/25) -> (-1/2,0/1) Matrix(1241,-696,1767,-991) -> Matrix(3,2,-2,-1) -1/1 Matrix(805,-452,992,-557) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(2729,-1540,4836,-2729) -> Matrix(27,14,-52,-27) (22/39,35/62) -> (-7/13,-1/2) Matrix(1611,-910,2852,-1611) -> Matrix(17,8,-36,-17) (35/62,13/23) -> (-1/2,-4/9) Matrix(187,-106,217,-123) -> Matrix(5,2,-8,-3) -1/2 Matrix(125,-72,217,-125) -> Matrix(-1,0,4,1) (4/7,18/31) -> (-1/2,0/1) Matrix(433,-252,744,-433) -> Matrix(1,0,4,-1) (18/31,7/12) -> (0/1,1/2) Matrix(869,-508,1271,-743) -> Matrix(1,0,-2,1) 0/1 Matrix(1983,-1160,2542,-1487) -> Matrix(1,-2,-2,3) Matrix(4775,-2804,6231,-3659) -> Matrix(1,8,0,-1) *** -> (-4/1,1/0) Matrix(869,-512,1054,-621) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(2727,-1618,4495,-2667) -> Matrix(1,0,-2,1) 0/1 Matrix(1427,-848,1984,-1179) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(3101,-1880,5115,-3101) -> Matrix(-1,0,2,1) (20/33,94/155) -> (-1/1,0/1) Matrix(11469,-6956,18910,-11469) -> Matrix(3,2,-4,-3) (94/155,37/61) -> (-1/1,-1/2) Matrix(1425,-866,1736,-1055) -> Matrix(1,0,0,1) Matrix(495,-302,713,-435) -> Matrix(1,2,-2,-3) -1/1 Matrix(683,-418,1116,-683) -> Matrix(5,6,-4,-5) (11/18,19/31) -> (-3/2,-1/1) Matrix(495,-304,806,-495) -> Matrix(5,4,-6,-5) (19/31,8/13) -> (-1/1,-2/3) Matrix(807,-500,899,-557) -> Matrix(1,0,0,1) Matrix(4775,-2966,6789,-4217) -> Matrix(7,6,-8,-7) *** -> (-1/1,-3/4) Matrix(1365,-848,1798,-1117) -> Matrix(5,4,-6,-5) *** -> (-1/1,-2/3) Matrix(743,-462,899,-559) -> Matrix(3,2,-2,-1) -1/1 Matrix(2729,-1716,4340,-2729) -> Matrix(-1,0,10,1) (22/35,39/62) -> (-1/5,0/1) Matrix(2107,-1326,3348,-2107) -> Matrix(1,0,4,-1) (39/62,17/27) -> (0/1,1/2) Matrix(435,-274,589,-371) -> Matrix(1,0,-2,1) 0/1 Matrix(993,-628,1178,-745) -> Matrix(5,4,-6,-5) *** -> (-1/1,-2/3) Matrix(1985,-1258,2542,-1611) -> Matrix(5,2,-8,-3) -1/2 Matrix(4837,-3068,7626,-4837) -> Matrix(-1,0,8,1) (26/41,59/93) -> (-1/4,0/1) Matrix(6137,-3894,9672,-6137) -> Matrix(1,0,4,-1) (59/93,33/52) -> (0/1,1/2) Matrix(5209,-3308,7223,-4587) -> Matrix(1,0,0,1) Matrix(1673,-1070,2325,-1487) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(559,-360,868,-559) -> Matrix(-1,0,4,1) (9/14,20/31) -> (-1/2,0/1) Matrix(61,-40,93,-61) -> Matrix(-1,0,2,1) (20/31,2/3) -> (-1/1,0/1) Matrix(1675,-1166,2139,-1489) -> Matrix(-1,0,4,1) *** -> (-1/2,0/1) Matrix(2419,-1688,3286,-2293) -> Matrix(3,2,-8,-5) -1/2 Matrix(13951,-9810,19840,-13951) -> Matrix(13,14,-12,-13) (45/64,109/155) -> (-7/6,-1/1) Matrix(19839,-13952,28210,-19839) -> Matrix(17,16,-18,-17) (109/155,64/91) -> (-1/1,-8/9) Matrix(373,-264,527,-373) -> Matrix(1,2,0,-1) (12/17,22/31) -> (-1/1,1/0) Matrix(309,-220,434,-309) -> Matrix(3,2,-4,-3) (22/31,5/7) -> (-1/1,-1/2) Matrix(3349,-2412,4650,-3349) -> Matrix(-1,0,8,1) (18/25,67/93) -> (-1/4,0/1) Matrix(9113,-6566,12648,-9113) -> Matrix(1,0,12,-1) (67/93,49/68) -> (0/1,1/6) Matrix(3347,-2422,4371,-3163) -> Matrix(1,4,0,1) 1/0 Matrix(3535,-2584,4836,-3535) -> Matrix(11,6,-20,-11) (19/26,68/93) -> (-3/5,-1/2) Matrix(2789,-2040,3813,-2789) -> Matrix(-1,0,4,1) (68/93,30/41) -> (-1/2,0/1) Matrix(8929,-6840,11656,-8929) -> Matrix(-1,14,0,1) (36/47,95/124) -> (7/1,1/0) Matrix(14631,-11210,19096,-14631) -> Matrix(1,28,0,-1) (95/124,59/77) -> (-14/1,1/0) Matrix(311,-240,403,-311) -> Matrix(3,4,-2,-3) (10/13,24/31) -> (-2/1,-1/1) Matrix(433,-336,558,-433) -> Matrix(7,6,-8,-7) (24/31,7/9) -> (-1/1,-3/4) Matrix(249,-200,310,-249) -> Matrix(3,2,-4,-3) (4/5,25/31) -> (-1/1,-1/2) Matrix(1301,-1050,1612,-1301) -> Matrix(-1,0,4,1) (25/31,21/26) -> (-1/2,0/1) Matrix(311,-260,372,-311) -> Matrix(1,2,0,-1) (5/6,26/31) -> (-1/1,1/0) Matrix(495,-416,589,-495) -> Matrix(9,8,-10,-9) (26/31,16/19) -> (-1/1,-4/5) Matrix(-1,2,0,1) -> Matrix(-1,0,4,1) (1/1,1/0) -> (-1/2,0/1) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.