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): 2160 Minimal number of generators: 361 Number of equivalence classes of cusps: 90 Genus: 136 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -14/33 -12/31 -1/3 -8/27 -4/23 -1/7 0/1 2/17 5/33 3/16 7/31 4/15 25/89 9/29 1/3 5/14 16/41 11/27 6/13 1/2 7/12 15/23 8/11 17/21 1/1 10/9 8/7 11/8 7/5 56/39 3/2 5/3 12/7 73/41 9/5 2/1 13/6 11/5 66/29 53/23 7/3 40/17 27/11 5/2 13/5 55/21 111/41 14/5 3/1 16/5 29/9 10/3 44/13 24/7 265/77 7/2 134/37 11/3 15/4 4/1 77/18 30/7 13/3 22/5 31/7 9/2 14/3 47/10 63/13 34/7 5/1 16/3 11/2 28/5 17/3 6/1 13/2 33/5 20/3 7/1 22/3 15/2 23/3 8/1 17/2 26/3 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 0/1 1/2 -8/17 0/1 1/3 -15/32 0/1 1/2 -7/15 1/3 2/5 1/2 -6/13 1/2 1/1 -5/11 0/1 1/4 1/3 -9/20 4/9 1/2 -4/9 0/1 1/1 -11/25 0/1 1/5 1/4 -18/41 1/4 2/7 -7/16 0/1 1/3 -10/23 2/5 1/2 -3/7 1/2 2/3 1/1 -14/33 1/1 -25/59 0/1 1/1 1/0 -11/26 0/1 1/2 -19/45 1/1 2/1 1/0 -27/64 0/1 1/0 -8/19 0/1 1/2 -13/31 0/1 1/4 1/3 -31/74 1/3 4/11 -18/43 2/5 1/2 -23/55 0/1 1/2 1/1 -5/12 1/3 1/2 -12/29 1/2 2/3 -7/17 1/2 3/5 2/3 -16/39 2/3 3/4 -25/61 2/3 3/4 1/1 -34/83 1/2 2/3 -9/22 2/3 3/4 -11/27 5/6 6/7 1/1 -2/5 0/1 1/1 -13/33 0/1 1/3 1/2 -11/28 1/2 2/3 -9/23 1/2 3/5 2/3 -16/41 2/3 3/4 -7/18 3/4 4/5 -12/31 1/1 -17/44 7/6 6/5 -22/57 1/1 6/5 -5/13 1/1 3/2 2/1 -13/34 6/1 1/0 -21/55 -4/1 -3/1 1/0 -8/21 0/1 1/0 -11/29 -1/1 -1/2 0/1 -14/37 -1/2 0/1 -17/45 -1/4 -1/5 0/1 -3/8 0/1 1/3 -13/35 1/2 4/7 3/5 -23/62 1/2 2/3 -10/27 1/2 2/3 -17/46 4/5 1/1 -7/19 1/2 2/3 1/1 -4/11 1/1 1/0 -17/47 3/1 4/1 1/0 -13/36 -2/1 1/0 -9/25 -1/1 0/1 1/0 -23/64 -1/1 0/1 -14/39 0/1 1/0 -19/53 -1/1 0/1 1/0 -5/14 -1/1 0/1 -11/31 0/1 1/4 1/3 -6/17 0/1 1/2 -1/3 0/1 1/1 1/0 -6/19 0/1 1/2 -11/35 2/3 3/4 1/1 -5/16 0/1 1/0 -9/29 1/2 2/3 1/1 -13/42 6/7 1/1 -4/13 1/1 2/1 -7/23 1/1 3/2 2/1 -10/33 4/1 1/0 -23/76 -6/1 1/0 -13/43 -1/1 0/1 1/0 -3/10 -1/1 1/0 -8/27 0/1 -13/44 1/6 1/5 -18/61 0/1 1/5 -23/78 0/1 1/4 -5/17 0/1 1/4 1/3 -7/24 1/2 2/3 -2/7 2/3 1/1 -13/46 1/1 14/13 -11/39 1/1 7/6 6/5 -9/32 3/2 2/1 -7/25 1/1 3/2 2/1 -19/68 5/4 4/3 -12/43 3/2 5/3 -17/61 3/2 5/3 2/1 -5/18 2/1 1/0 -13/47 4/1 5/1 1/0 -21/76 14/1 1/0 -8/29 -4/1 1/0 -19/69 -1/1 -1/2 0/1 -30/109 -1/1 0/1 -11/40 0/1 1/1 -14/51 0/1 1/0 -3/11 -1/1 0/1 1/0 -4/15 0/1 1/2 -5/19 0/1 1/2 1/1 -1/4 1/1 2/1 -4/17 0/1 1/0 -11/47 -1/1 -1/2 0/1 -7/30 0/1 1/0 -10/43 -1/5 0/1 -13/56 0/1 1/9 -3/13 0/1 1/2 1/1 -11/48 0/1 1/2 -8/35 2/5 1/2 -13/57 1/2 3/5 2/3 -5/22 1/2 2/3 -12/53 0/1 1/1 -19/84 0/1 1/0 -7/31 2/3 3/4 1/1 -16/71 5/6 6/7 -9/40 9/10 1/1 -2/9 1/1 3/2 -5/23 1/1 2/1 1/0 -13/60 9/5 2/1 -8/37 2/1 7/3 -3/14 4/1 1/0 -7/33 1/1 2/1 1/0 -11/52 2/1 3/1 -4/19 4/1 1/0 -1/5 -1/1 0/1 1/0 -6/31 0/1 1/0 -5/26 -1/2 0/1 -4/21 0/1 1/2 -3/16 0/1 1/2 -8/43 2/3 1/1 -5/27 1/1 3/2 2/1 -2/11 1/1 2/1 -7/39 1/1 2/1 1/0 -12/67 2/1 1/0 -5/28 4/1 1/0 -3/17 2/1 3/1 1/0 -4/23 1/0 -5/29 -6/1 -5/1 1/0 -1/6 -2/1 -1/1 -4/25 -1/2 -2/5 -3/19 -1/3 -1/4 0/1 -11/70 -1/6 0/1 -8/51 -1/5 0/1 -5/32 -1/10 0/1 -2/13 0/1 1/4 -5/33 0/1 1/4 1/3 -3/20 1/2 2/3 -1/7 1/1 2/1 1/0 -1/8 -1/1 -1/2 -2/17 -1/4 0/1 -3/26 0/1 1/6 -1/9 0/1 1/1 1/0 0/1 0/1 1/0 1/10 -1/2 0/1 1/9 1/1 2/1 1/0 2/17 1/0 1/8 -2/1 -1/1 1/7 -1/1 0/1 1/0 3/20 -1/6 0/1 5/33 0/1 7/46 0/1 1/14 2/13 0/1 1/4 5/32 0/1 1/2 3/19 1/2 2/3 1/1 1/6 1/2 1/1 4/23 0/1 1/0 7/40 2/3 1/1 3/17 1/1 3/2 2/1 2/11 2/1 1/0 3/16 1/0 1/5 -2/1 -1/1 1/0 5/24 -1/1 -2/3 4/19 -1/2 0/1 3/14 -2/3 -1/2 5/23 -1/3 -1/4 0/1 2/9 -1/4 0/1 7/31 0/1 12/53 0/1 1/24 5/22 0/1 1/10 18/79 0/1 1/6 13/57 0/1 1/6 1/5 8/35 0/1 1/5 3/13 0/1 1/4 1/3 4/17 2/5 1/2 1/4 1/1 2/1 4/15 1/0 7/26 -7/1 -6/1 10/37 -6/1 -5/1 3/11 -3/1 -2/1 1/0 8/29 -2/1 1/0 5/18 -4/1 1/0 12/43 -2/1 1/0 19/68 -9/4 -2/1 7/25 -2/1 -1/1 1/0 16/57 -3/1 -2/1 25/89 -2/1 9/32 -2/1 -1/1 11/39 -3/1 -2/1 1/0 13/46 -2/1 1/0 2/7 -2/1 -1/1 3/10 -1/2 0/1 7/23 -1/1 0/1 1/0 11/36 -2/1 -1/1 4/13 -1/2 0/1 9/29 0/1 14/45 0/1 1/6 5/16 0/1 1/2 1/3 0/1 1/1 1/0 8/23 -1/1 1/0 7/20 3/2 2/1 6/17 4/1 1/0 5/14 1/0 14/39 -12/1 1/0 9/25 -9/1 -8/1 1/0 4/11 -4/1 1/0 19/52 -3/1 -14/5 15/41 -3/1 -2/1 1/0 26/71 -4/1 1/0 11/30 -3/1 -2/1 29/79 -3/1 -2/1 1/0 18/49 -3/1 -2/1 7/19 -2/1 -1/1 1/0 10/27 -2/1 1/0 3/8 -4/1 1/0 14/37 -2/1 1/0 11/29 -3/1 -5/2 -2/1 30/79 -3/1 -2/1 19/50 -3/1 1/0 8/21 -7/3 -2/1 5/13 -2/1 -1/1 1/0 12/31 -2/1 -5/3 19/49 -2/1 -3/2 -1/1 7/18 -2/1 1/0 16/41 -2/1 25/64 -2/1 -11/6 9/23 -2/1 -7/4 -5/3 2/5 -3/2 -1/1 11/27 -1/1 20/49 -1/1 -21/22 9/22 -1/1 -9/10 25/61 -1/1 -8/9 -7/8 41/100 -19/22 -6/7 16/39 -6/7 -5/6 7/17 -1/1 -3/4 -2/3 12/29 -1/1 0/1 5/12 -2/3 -1/2 18/43 -3/4 -2/3 31/74 -2/3 -3/5 44/105 -1/1 -2/3 13/31 -2/3 -3/5 -1/2 8/19 -1/2 -2/5 19/45 -1/3 -1/4 0/1 11/26 -1/2 0/1 3/7 -1/1 -1/2 0/1 10/23 0/1 1/5 17/39 0/1 1/3 1/2 24/55 0/1 1/1 7/16 0/1 1/0 4/9 0/1 1/0 9/20 -2/1 -1/1 14/31 -1/1 -1/2 19/42 0/1 1/2 24/53 0/1 1/0 5/11 0/1 1/1 1/0 6/13 1/0 1/2 -2/1 -1/1 8/15 -3/4 -2/3 7/13 -1/1 -3/4 -2/3 6/11 -2/3 -1/2 11/20 -5/9 -1/2 5/9 -1/1 -1/2 0/1 14/25 -1/2 0/1 23/41 -1/1 -1/2 0/1 9/16 -1/2 -2/5 22/39 -1/4 0/1 35/62 -1/2 0/1 13/23 -1/3 -1/4 0/1 4/7 -1/2 0/1 11/19 -1/4 -1/5 0/1 7/12 0/1 17/29 0/1 1/4 1/3 44/75 0/1 1/5 71/121 0/1 1/5 1/4 27/46 0/1 1/3 64/109 1/4 2/7 37/63 1/3 2/5 1/2 47/80 0/1 1/4 10/17 0/1 1/2 23/39 1/2 2/3 1/1 36/61 2/1 1/0 13/22 0/1 1/1 16/27 -1/1 0/1 3/5 0/1 1/1 1/0 14/23 0/1 1/0 11/18 -1/1 0/1 41/67 -1/1 0/1 1/0 71/116 -1/1 0/1 101/165 0/1 30/49 0/1 1/1 19/31 0/1 1/2 1/1 8/13 4/1 1/0 13/21 -5/1 -4/1 1/0 44/71 -4/1 1/0 31/50 -4/1 -3/1 49/79 -8/1 -7/1 1/0 18/29 -5/1 -4/1 41/66 -7/2 -3/1 23/37 -7/2 -10/3 -3/1 5/8 -2/1 1/0 17/27 -2/1 -5/3 -3/2 63/100 -5/2 -2/1 46/73 -2/1 -5/3 29/46 -2/1 -3/2 12/19 -5/3 -3/2 7/11 -2/1 -3/2 -1/1 30/47 -3/2 -4/3 23/36 -4/3 -5/4 16/25 -6/5 -1/1 9/14 -2/1 -3/2 38/59 -3/2 -4/3 29/45 -3/2 -4/3 -1/1 20/31 -4/3 -5/4 31/48 -4/3 -1/1 11/17 -6/5 -7/6 -1/1 13/20 -14/13 -1/1 15/23 -1/1 17/26 -1/1 -18/19 2/3 -1/1 -2/3 11/16 -6/11 -1/2 9/13 -1/2 -1/3 0/1 25/36 -1/2 -2/5 16/23 -1/2 0/1 7/10 -2/3 -1/2 19/27 -3/7 -5/12 -2/5 69/98 -2/5 -7/18 50/71 -1/2 -1/3 31/44 -1/2 -2/5 43/61 -1/2 -3/7 -2/5 12/17 -2/5 -1/3 29/41 -6/17 -7/20 -1/3 17/24 -1/3 -6/19 5/7 -1/3 -1/4 0/1 8/11 0/1 11/15 0/1 1/3 1/2 25/34 0/1 1/2 39/53 -1/1 0/1 1/0 14/19 0/1 1/1 31/42 0/1 1/3 48/65 0/1 1/2 17/23 0/1 1/2 1/1 3/4 1/1 1/0 19/25 -1/1 0/1 1/0 16/21 0/1 1/0 13/17 0/1 1/1 1/0 10/13 -4/1 1/0 17/22 -2/1 1/0 41/53 -2/1 -1/1 1/0 24/31 0/1 1/0 7/9 -2/1 -3/2 -1/1 18/23 -1/1 -2/3 47/60 -1/1 1/0 76/97 -3/4 -2/3 29/37 -1/1 -1/2 0/1 69/88 -1/1 -8/9 40/51 -3/4 -2/3 11/14 -1/2 0/1 4/5 -2/1 -1/1 17/21 -1/1 30/37 -1/1 -14/15 13/16 -1/1 -6/7 9/11 -1/1 -2/3 -1/2 14/17 -3/5 -1/2 33/40 -1/1 -2/3 85/103 -2/3 -3/5 -1/2 52/63 -2/3 -1/2 19/23 -1/1 -2/3 -1/2 24/29 -1/2 -2/5 5/6 0/1 1/0 11/13 -1/1 -3/4 -2/3 17/20 -2/3 -1/2 23/27 -3/5 -4/7 -1/2 6/7 -1/2 0/1 7/8 -1/2 0/1 1/1 -1/1 0/1 1/0 10/9 -1/1 9/8 -1/2 0/1 17/15 -1/2 -1/3 0/1 8/7 0/1 1/0 15/13 -1/1 -2/3 -1/2 22/19 -1/1 0/1 7/6 -2/3 -1/2 20/17 -1/2 0/1 13/11 -1/2 -1/3 0/1 6/5 -1/2 0/1 5/4 0/1 1/1 24/19 0/1 1/1 43/34 0/1 1/2 19/15 0/1 1/1 1/0 33/26 0/1 1/2 14/11 0/1 1/0 37/29 1/1 3/2 2/1 23/18 0/1 1/1 32/25 1/0 9/7 0/1 1/1 1/0 22/17 0/1 1/0 35/27 0/1 1/1 1/0 13/10 2/1 1/0 4/3 -1/1 1/0 15/11 -3/2 -4/3 -1/1 11/8 -1/1 29/21 -1/1 -9/10 -8/9 76/55 -7/8 -20/23 47/34 -1/1 -4/5 18/13 -1/1 -5/6 61/44 -1/1 -2/3 104/75 -5/6 -4/5 43/31 -1/1 -4/5 -3/4 25/18 -1/1 -6/7 32/23 -10/13 -3/4 7/5 -1/1 -2/3 -1/2 31/22 0/1 1/0 24/17 -4/3 -1/1 17/12 -1/1 -4/5 61/43 -3/4 -8/11 -5/7 166/117 -7/10 -2/3 105/74 -2/3 -1/2 44/31 -3/4 -2/3 27/19 -1/1 -3/4 -2/3 37/26 -2/3 -1/2 10/7 -2/3 -1/2 33/23 -1/1 -3/4 -2/3 56/39 -2/3 79/55 -2/3 -3/5 -1/2 23/16 -2/3 -1/2 59/41 -1/1 -3/4 -2/3 36/25 -3/4 -2/3 13/9 -3/5 -4/7 -1/2 29/20 -10/19 -1/2 16/11 -1/2 -4/9 19/13 -1/1 -1/2 0/1 3/2 -1/3 0/1 14/9 0/1 1/2 53/34 5/8 2/3 92/59 1/2 2/3 39/25 1/2 2/3 1/1 25/16 1/1 4/3 11/7 0/1 1/2 1/1 41/26 1/1 4/3 30/19 2/1 1/0 79/50 0/1 1/2 49/31 0/1 1/1 1/0 117/74 0/1 1/2 68/43 0/1 1/1 87/55 1/1 2/1 1/0 19/12 1/1 3/2 27/17 3/1 4/1 1/0 35/22 1/0 8/5 0/1 1/0 13/8 -6/1 1/0 31/19 -4/1 -7/2 -3/1 111/68 -4/1 -15/4 80/49 -7/2 -10/3 49/30 -22/7 -3/1 18/11 -3/1 -2/1 59/36 -2/1 41/25 -2/1 -1/1 1/0 23/14 -2/1 1/0 74/45 -3/1 -2/1 51/31 -3/1 -2/1 1/0 28/17 -3/1 1/0 5/3 -2/1 -3/2 -1/1 12/7 -1/1 19/11 -1/1 -8/9 -7/8 83/48 -7/8 -6/7 64/37 -6/7 -5/6 45/26 -1/1 -8/9 71/41 -1/1 -6/7 -5/6 168/97 -6/7 -5/6 265/153 -5/6 97/56 -5/6 -4/5 26/15 -1/1 -4/5 33/19 -1/1 -7/8 -6/7 7/4 -4/5 -3/4 30/17 -2/3 -3/5 23/13 -1/1 -2/3 -1/2 62/35 -2/3 -1/2 39/22 -1/2 0/1 55/31 -1/1 -5/6 -4/5 16/9 -3/4 -2/3 73/41 -2/3 57/32 -2/3 -9/14 98/55 -2/3 -5/8 139/78 -2/3 -9/14 41/23 -2/3 -5/8 -3/5 66/37 -4/7 -1/2 25/14 -2/3 -1/2 34/19 -1/2 0/1 9/5 -2/3 -3/5 -1/2 29/16 -7/13 -1/2 20/11 -1/2 -3/7 71/39 -1/2 -2/5 -1/3 51/28 -2/5 -1/3 31/17 -1/3 -1/4 0/1 11/6 -2/3 -1/2 24/13 -1/2 0/1 37/20 -1/2 50/27 -1/2 -2/5 13/7 -1/2 -1/3 0/1 15/8 0/1 1/0 32/17 -2/3 -1/2 17/9 -1/1 0/1 1/0 2/1 -1/1 0/1 15/7 -5/4 -6/5 -1/1 13/6 -1/1 37/17 -1/1 -15/16 -14/15 24/11 -1/1 -10/11 11/5 -1/1 -6/7 -5/6 42/19 -13/16 -4/5 31/14 -1/1 -5/6 51/23 -1/1 -4/5 -3/4 20/9 -4/5 -7/9 49/22 -1/1 -4/5 29/13 -4/5 -7/9 -3/4 9/4 -3/4 -2/3 52/23 -2/3 -1/2 43/19 -1/1 -1/2 0/1 34/15 -2/3 -1/2 25/11 -1/1 -3/4 -2/3 66/29 -1/1 107/47 -1/1 -5/6 -4/5 41/18 -4/5 -3/4 16/7 -3/4 -2/3 23/10 -13/19 -2/3 53/23 -2/3 83/36 -2/3 -43/65 30/13 -2/3 -15/23 7/3 -2/3 -3/5 -1/2 40/17 -1/2 73/31 -1/2 -2/5 -1/3 33/14 -1/1 -2/3 26/11 -2/3 -1/2 71/30 -4/7 -1/2 116/49 -1/2 -2/5 45/19 -1/1 -2/3 -1/2 19/8 -4/7 -1/2 31/13 -1/1 0/1 1/0 74/31 -1/1 -4/5 117/49 -3/4 -8/11 -5/7 160/67 -3/4 -2/3 43/18 -2/3 -1/2 55/23 -1/1 -3/4 -2/3 12/5 -2/3 -1/2 53/22 -2/3 -1/2 94/39 -2/3 41/17 -2/3 -5/8 -3/5 29/12 -3/5 -10/17 17/7 -3/5 -4/7 -1/2 39/16 -4/7 -1/2 61/25 -6/11 -13/24 -7/13 83/34 -7/13 -8/15 22/9 -9/17 -1/2 27/11 -1/2 32/13 -1/2 -11/23 5/2 -1/2 -1/3 33/13 -1/2 -1/3 0/1 28/11 -1/2 0/1 107/42 -1/1 0/1 79/31 -1/1 -1/2 0/1 51/20 -1/3 0/1 23/9 -1/1 -1/2 0/1 41/16 -1/2 59/23 -1/2 -5/11 -4/9 18/7 -1/2 -2/5 49/19 -3/8 -4/11 -1/3 80/31 -1/3 0/1 31/12 -4/11 -1/3 75/29 -1/3 -4/13 -3/10 44/17 -2/7 -1/4 57/22 -1/3 0/1 70/27 -2/7 -1/4 13/5 -1/3 -1/4 0/1 34/13 -1/7 0/1 55/21 0/1 76/29 0/1 1/9 21/8 0/1 1/1 8/3 -1/2 0/1 35/13 -1/1 -1/2 0/1 62/23 0/1 1/1 27/10 0/1 1/0 73/27 0/1 1/2 1/1 46/17 2/1 1/0 111/41 1/0 176/65 -10/1 1/0 65/24 -4/1 1/0 19/7 -2/1 -1/1 1/0 49/18 -4/3 -1/1 79/29 -7/6 -8/7 -1/1 30/11 -1/1 -4/5 71/26 -3/4 -2/3 183/67 -2/3 -3/5 -1/2 112/41 -2/3 -1/2 41/15 -1/1 -1/2 0/1 11/4 -1/2 0/1 14/5 -1/1 17/6 -3/4 -2/3 54/19 -1/1 -2/3 37/13 -1/1 -3/4 -2/3 20/7 -1/2 0/1 23/8 -1/1 1/0 26/9 -1/1 -2/3 3/1 -1/1 -2/3 -1/2 16/5 -10/19 -1/2 29/9 -1/2 42/13 -1/2 -26/53 13/4 -1/2 -8/17 10/3 -1/2 -2/5 27/8 -1/3 0/1 44/13 -1/2 61/18 -3/7 -2/5 17/5 -1/2 -3/7 -2/5 75/22 -2/5 -3/8 58/17 -1/2 -2/5 41/12 -5/12 -2/5 65/19 -2/5 -7/18 -5/13 24/7 -3/8 -1/3 55/16 -4/11 -1/3 86/25 -1/3 0/1 117/34 -1/2 0/1 265/77 -1/2 148/43 -1/2 -2/5 31/9 -1/2 -2/5 -1/3 38/11 -2/5 -3/8 7/2 -1/3 0/1 32/9 -8/23 -1/3 89/25 -1/3 57/16 -1/3 -16/49 25/7 -1/3 -4/13 -3/10 43/12 -1/4 0/1 104/29 -1/3 61/17 -1/3 -2/7 -1/4 18/5 -2/7 -1/4 47/13 -1/5 -1/6 0/1 76/21 -1/4 -2/9 105/29 -1/4 -1/5 0/1 134/37 0/1 29/8 -1/4 0/1 69/19 -1/5 -1/6 0/1 178/49 -1/6 0/1 109/30 -1/8 0/1 149/41 0/1 40/11 -1/2 0/1 11/3 -1/4 -1/5 0/1 59/16 -1/6 0/1 48/13 -1/4 0/1 85/23 -1/6 -1/7 0/1 37/10 -1/7 0/1 63/17 -1/6 -1/7 0/1 152/41 -1/7 0/1 89/24 -1/8 0/1 26/7 -1/7 0/1 15/4 0/1 34/9 0/1 1/5 53/14 0/1 1/5 72/19 0/1 1/2 19/5 0/1 1/3 1/2 4/1 -1/1 0/1 17/4 -1/2 0/1 47/11 -2/3 -3/5 -1/2 124/29 -4/7 -1/2 77/18 -1/2 30/7 -2/3 -1/2 13/3 -2/3 -3/5 -1/2 35/8 -6/11 -7/13 92/21 -6/11 -1/2 57/13 -5/9 -6/11 -1/2 22/5 -10/19 -1/2 31/7 -1/2 40/9 -1/2 -18/37 9/2 -1/2 -4/9 32/7 -1/2 -2/5 55/12 -2/5 -1/3 78/17 -1/2 23/5 -1/2 -3/7 -2/5 14/3 -1/2 -2/5 61/13 -3/7 -5/12 -2/5 47/10 -2/5 127/27 -2/5 -5/13 -3/8 80/17 -2/5 -3/8 33/7 -2/5 -3/8 -1/3 19/4 -1/2 -2/5 62/13 -2/5 -3/8 105/22 -2/5 -7/18 43/9 -5/13 -8/21 -3/8 24/5 -4/11 -1/3 29/6 -12/35 -1/3 63/13 -1/3 34/7 -1/3 -12/37 5/1 -1/3 -1/4 0/1 16/3 0/1 27/5 0/1 1/3 1/2 11/2 0/1 1/0 39/7 -1/1 -1/2 0/1 28/5 -1/3 0/1 45/8 0/1 1/2 17/3 -1/1 0/1 1/0 6/1 -1/1 -1/2 13/2 -4/7 -1/2 33/5 -1/2 53/8 -1/2 -16/33 20/3 -1/2 -6/13 7/1 -1/2 -2/5 -1/3 22/3 -1/4 0/1 15/2 -1/2 0/1 23/3 -1/1 -1/2 0/1 8/1 -1/3 0/1 25/3 -1/5 -1/6 0/1 17/2 0/1 26/3 0/1 1/1 9/1 -1/1 0/1 1/0 10/1 0/1 1/0 1/0 -1/2 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(583,278,216,103) (-1/2,-8/17) -> (62/23,27/10) Hyperbolic Matrix(285,134,1006,473) (-8/17,-15/32) -> (13/46,2/7) Hyperbolic Matrix(1853,866,1072,501) (-15/32,-7/15) -> (19/11,83/48) Hyperbolic Matrix(281,130,-776,-359) (-7/15,-6/13) -> (-4/11,-17/47) Hyperbolic Matrix(139,64,354,163) (-6/13,-5/11) -> (9/23,2/5) Hyperbolic Matrix(829,374,348,157) (-5/11,-9/20) -> (19/8,31/13) Hyperbolic Matrix(139,62,204,91) (-9/20,-4/9) -> (2/3,11/16) Hyperbolic Matrix(271,120,70,31) (-4/9,-11/25) -> (19/5,4/1) Hyperbolic Matrix(1219,536,680,299) (-11/25,-18/41) -> (34/19,9/5) Hyperbolic Matrix(269,118,1288,565) (-18/41,-7/16) -> (5/24,4/19) Hyperbolic Matrix(271,118,604,263) (-7/16,-10/23) -> (4/9,9/20) Hyperbolic Matrix(539,234,-1412,-613) (-10/23,-3/7) -> (-21/55,-8/21) Hyperbolic Matrix(923,392,-2178,-925) (-3/7,-14/33) -> (-14/33,-25/59) Parabolic Matrix(5935,2514,3756,1591) (-25/59,-11/26) -> (79/50,49/31) Hyperbolic Matrix(1577,666,1120,473) (-11/26,-19/45) -> (7/5,31/22) Hyperbolic Matrix(2237,944,2628,1109) (-19/45,-27/64) -> (17/20,23/27) Hyperbolic Matrix(659,278,64,27) (-27/64,-8/19) -> (10/1,1/0) Hyperbolic Matrix(395,166,-1116,-469) (-8/19,-13/31) -> (-11/31,-6/17) Hyperbolic Matrix(1699,712,4646,1947) (-13/31,-31/74) -> (19/52,15/41) Hyperbolic Matrix(6671,2794,3856,1615) (-31/74,-18/43) -> (64/37,45/26) Hyperbolic Matrix(3527,1476,1374,575) (-18/43,-23/55) -> (59/23,18/7) Hyperbolic Matrix(393,164,520,217) (-23/55,-5/12) -> (3/4,19/25) Hyperbolic Matrix(391,162,712,295) (-5/12,-12/29) -> (6/11,11/20) Hyperbolic Matrix(905,374,196,81) (-12/29,-7/17) -> (23/5,14/3) Hyperbolic Matrix(901,370,-2384,-979) (-7/17,-16/39) -> (-14/37,-17/45) Hyperbolic Matrix(3477,1426,968,397) (-16/39,-25/61) -> (61/17,18/5) Hyperbolic Matrix(9913,4062,7148,2929) (-25/61,-34/83) -> (104/75,43/31) Hyperbolic Matrix(4121,1688,7014,2873) (-34/83,-9/22) -> (47/80,10/17) Hyperbolic Matrix(641,262,1030,421) (-9/22,-11/27) -> (23/37,5/8) Hyperbolic Matrix(129,52,62,25) (-11/27,-2/5) -> (2/1,15/7) Hyperbolic Matrix(877,346,2010,793) (-2/5,-13/33) -> (17/39,24/55) Hyperbolic Matrix(1877,738,440,173) (-13/33,-11/28) -> (17/4,47/11) Hyperbolic Matrix(1373,538,564,221) (-11/28,-9/23) -> (17/7,39/16) Hyperbolic Matrix(1371,536,376,147) (-9/23,-16/41) -> (40/11,11/3) Hyperbolic Matrix(375,146,994,387) (-16/41,-7/18) -> (3/8,14/37) Hyperbolic Matrix(743,288,-1922,-745) (-7/18,-12/31) -> (-12/31,-17/44) Parabolic Matrix(1611,622,-7120,-2749) (-17/44,-22/57) -> (-12/53,-19/84) Hyperbolic Matrix(3833,1478,1486,573) (-22/57,-5/13) -> (49/19,80/31) Hyperbolic Matrix(737,282,1048,401) (-5/13,-13/34) -> (7/10,19/27) Hyperbolic Matrix(1597,610,-5778,-2207) (-13/34,-21/55) -> (-13/47,-21/76) Hyperbolic Matrix(121,46,676,257) (-8/21,-11/29) -> (3/17,2/11) Hyperbolic Matrix(491,186,916,347) (-11/29,-14/37) -> (8/15,7/13) Hyperbolic Matrix(609,230,-2624,-991) (-17/45,-3/8) -> (-13/56,-3/13) Hyperbolic Matrix(1329,494,304,113) (-3/8,-13/35) -> (13/3,35/8) Hyperbolic Matrix(361,134,2298,853) (-13/35,-23/62) -> (5/32,3/19) Hyperbolic Matrix(2175,806,904,335) (-23/62,-10/27) -> (12/5,53/22) Hyperbolic Matrix(481,178,1570,581) (-10/27,-17/46) -> (11/36,4/13) Hyperbolic Matrix(1805,666,664,245) (-17/46,-7/19) -> (19/7,49/18) Hyperbolic Matrix(241,88,178,65) (-7/19,-4/11) -> (4/3,15/11) Hyperbolic Matrix(1549,560,-5120,-1851) (-17/47,-13/36) -> (-23/76,-13/43) Hyperbolic Matrix(949,342,1368,493) (-13/36,-9/25) -> (9/13,25/36) Hyperbolic Matrix(2613,940,770,277) (-9/25,-23/64) -> (61/18,17/5) Hyperbolic Matrix(2489,894,3856,1385) (-23/64,-14/39) -> (20/31,31/48) Hyperbolic Matrix(357,128,-1838,-659) (-14/39,-19/53) -> (-1/5,-6/31) Hyperbolic Matrix(2843,1018,768,275) (-19/53,-5/14) -> (37/10,63/17) Hyperbolic Matrix(473,168,-2182,-775) (-5/14,-11/31) -> (-5/23,-13/60) Hyperbolic Matrix(233,82,412,145) (-6/17,-1/3) -> (13/23,4/7) Hyperbolic Matrix(221,70,-944,-299) (-1/3,-6/19) -> (-4/17,-11/47) Hyperbolic Matrix(2997,944,1108,349) (-6/19,-11/35) -> (73/27,46/17) Hyperbolic Matrix(777,244,-3436,-1079) (-11/35,-5/16) -> (-19/84,-7/31) Hyperbolic Matrix(663,206,-2372,-737) (-5/16,-9/29) -> (-7/25,-19/68) Hyperbolic Matrix(329,102,1874,581) (-9/29,-13/42) -> (7/40,3/17) Hyperbolic Matrix(1429,442,1762,545) (-13/42,-4/13) -> (30/37,13/16) Hyperbolic Matrix(111,34,-604,-185) (-4/13,-7/23) -> (-5/27,-2/11) Hyperbolic Matrix(1965,596,544,165) (-7/23,-10/33) -> (18/5,47/13) Hyperbolic Matrix(3269,990,492,149) (-10/33,-23/76) -> (53/8,20/3) Hyperbolic Matrix(545,164,216,65) (-13/43,-3/10) -> (5/2,33/13) Hyperbolic Matrix(431,128,-1458,-433) (-3/10,-8/27) -> (-8/27,-13/44) Parabolic Matrix(2479,732,6526,1927) (-13/44,-18/61) -> (30/79,19/50) Hyperbolic Matrix(1295,382,-8248,-2433) (-18/61,-23/78) -> (-11/70,-8/51) Hyperbolic Matrix(1079,318,3824,1127) (-23/78,-5/17) -> (11/39,13/46) Hyperbolic Matrix(965,282,592,173) (-5/17,-7/24) -> (13/8,31/19) Hyperbolic Matrix(215,62,52,15) (-7/24,-2/7) -> (4/1,17/4) Hyperbolic Matrix(211,60,320,91) (-2/7,-13/46) -> (17/26,2/3) Hyperbolic Matrix(4025,1136,5134,1449) (-13/46,-11/39) -> (29/37,69/88) Hyperbolic Matrix(3281,924,1850,521) (-11/39,-9/32) -> (39/22,55/31) Hyperbolic Matrix(1587,446,580,163) (-9/32,-7/25) -> (41/15,11/4) Hyperbolic Matrix(845,236,2424,677) (-19/68,-12/43) -> (8/23,7/20) Hyperbolic Matrix(3901,1088,2370,661) (-12/43,-17/61) -> (51/31,28/17) Hyperbolic Matrix(1687,470,4318,1203) (-17/61,-5/18) -> (25/64,9/23) Hyperbolic Matrix(945,262,422,117) (-5/18,-13/47) -> (29/13,9/4) Hyperbolic Matrix(3569,986,1104,305) (-21/76,-8/29) -> (42/13,13/4) Hyperbolic Matrix(6085,1676,4404,1213) (-8/29,-19/69) -> (29/21,76/55) Hyperbolic Matrix(7759,2136,2728,751) (-19/69,-30/109) -> (54/19,37/13) Hyperbolic Matrix(5139,1414,12266,3375) (-30/109,-11/40) -> (31/74,44/105) Hyperbolic Matrix(4085,1122,892,245) (-11/40,-14/51) -> (32/7,55/12) Hyperbolic Matrix(1991,546,784,215) (-14/51,-3/11) -> (33/13,28/11) Hyperbolic Matrix(209,56,362,97) (-3/11,-4/15) -> (4/7,11/19) Hyperbolic Matrix(309,82,260,69) (-4/15,-5/19) -> (13/11,6/5) Hyperbolic Matrix(619,162,256,67) (-5/19,-1/4) -> (29/12,17/7) Hyperbolic Matrix(499,118,148,35) (-1/4,-4/17) -> (10/3,27/8) Hyperbolic Matrix(3671,858,1536,359) (-11/47,-7/30) -> (43/18,55/23) Hyperbolic Matrix(2775,646,494,115) (-7/30,-10/43) -> (28/5,45/8) Hyperbolic Matrix(5249,1220,2276,529) (-10/43,-13/56) -> (83/36,30/13) Hyperbolic Matrix(2467,566,3500,803) (-3/13,-11/48) -> (31/44,43/61) Hyperbolic Matrix(4043,926,2266,519) (-11/48,-8/35) -> (66/37,25/14) Hyperbolic Matrix(3249,742,740,169) (-8/35,-13/57) -> (57/13,22/5) Hyperbolic Matrix(887,202,786,179) (-13/57,-5/22) -> (9/8,17/15) Hyperbolic Matrix(4423,1002,1620,367) (-5/22,-12/53) -> (30/11,71/26) Hyperbolic Matrix(4611,1040,7852,1771) (-7/31,-16/71) -> (64/109,37/63) Hyperbolic Matrix(6377,1436,8140,1833) (-16/71,-9/40) -> (47/60,76/97) Hyperbolic Matrix(881,198,2158,485) (-9/40,-2/9) -> (20/49,9/22) Hyperbolic Matrix(291,64,50,11) (-2/9,-5/23) -> (17/3,6/1) Hyperbolic Matrix(5337,1156,2036,441) (-13/60,-8/37) -> (76/29,21/8) Hyperbolic Matrix(679,146,386,83) (-8/37,-3/14) -> (7/4,30/17) Hyperbolic Matrix(1257,268,530,113) (-3/14,-7/33) -> (45/19,19/8) Hyperbolic Matrix(869,184,3084,653) (-7/33,-11/52) -> (9/32,11/39) Hyperbolic Matrix(3371,712,1302,275) (-11/52,-4/19) -> (44/17,57/22) Hyperbolic Matrix(191,40,530,111) (-4/19,-1/5) -> (9/25,4/11) Hyperbolic Matrix(4237,818,2450,473) (-6/31,-5/26) -> (83/48,64/37) Hyperbolic Matrix(469,90,1506,289) (-5/26,-4/21) -> (14/45,5/16) Hyperbolic Matrix(937,178,658,125) (-4/21,-3/16) -> (37/26,10/7) Hyperbolic Matrix(653,122,562,105) (-3/16,-8/43) -> (22/19,7/6) Hyperbolic Matrix(2239,416,1028,191) (-8/43,-5/27) -> (37/17,24/11) Hyperbolic Matrix(1021,184,2780,501) (-2/11,-7/39) -> (29/79,18/49) Hyperbolic Matrix(1573,282,6900,1237) (-7/39,-12/67) -> (18/79,13/57) Hyperbolic Matrix(1667,298,2590,463) (-12/67,-5/28) -> (9/14,38/59) Hyperbolic Matrix(1201,214,926,165) (-5/28,-3/17) -> (35/27,13/10) Hyperbolic Matrix(183,32,-1058,-185) (-3/17,-4/23) -> (-4/23,-5/29) Parabolic Matrix(1193,204,1924,329) (-5/29,-1/6) -> (31/50,49/79) Hyperbolic Matrix(1631,264,1180,191) (-1/6,-4/25) -> (76/55,47/34) Hyperbolic Matrix(2619,416,724,115) (-4/25,-3/19) -> (47/13,76/21) Hyperbolic Matrix(14159,2226,5184,815) (-3/19,-11/70) -> (71/26,183/67) Hyperbolic Matrix(4685,734,7436,1165) (-8/51,-5/32) -> (63/100,46/73) Hyperbolic Matrix(449,70,1982,309) (-5/32,-2/13) -> (12/53,5/22) Hyperbolic Matrix(447,68,46,7) (-2/13,-5/33) -> (9/1,10/1) Hyperbolic Matrix(2507,378,1028,155) (-5/33,-3/20) -> (39/16,61/25) Hyperbolic Matrix(801,118,224,33) (-3/20,-1/7) -> (25/7,43/12) Hyperbolic Matrix(349,46,220,29) (-1/7,-1/8) -> (19/12,27/17) Hyperbolic Matrix(863,104,390,47) (-1/8,-2/17) -> (42/19,31/14) Hyperbolic Matrix(171,20,1120,131) (-2/17,-3/26) -> (7/46,2/13) Hyperbolic Matrix(1115,126,1584,179) (-3/26,-1/9) -> (19/27,69/98) Hyperbolic Matrix(423,44,298,31) (-1/9,0/1) -> (44/31,27/19) Hyperbolic Matrix(973,-92,624,-59) (0/1,1/10) -> (53/34,92/59) Hyperbolic Matrix(619,-66,1510,-161) (1/10,1/9) -> (25/61,41/100) Hyperbolic Matrix(1093,-124,238,-27) (1/9,2/17) -> (78/17,23/5) Hyperbolic Matrix(1559,-188,340,-41) (2/17,1/8) -> (55/12,78/17) Hyperbolic Matrix(133,-18,436,-59) (1/8,1/7) -> (7/23,11/36) Hyperbolic Matrix(1587,-236,464,-69) (1/7,3/20) -> (41/12,65/19) Hyperbolic Matrix(331,-50,2178,-329) (3/20,5/33) -> (5/33,7/46) Parabolic Matrix(2303,-358,624,-97) (2/13,5/32) -> (59/16,48/13) Hyperbolic Matrix(917,-146,1476,-235) (3/19,1/6) -> (41/66,23/37) Hyperbolic Matrix(649,-112,226,-39) (1/6,4/23) -> (20/7,23/8) Hyperbolic Matrix(5563,-972,4012,-701) (4/23,7/40) -> (61/44,104/75) Hyperbolic Matrix(513,-94,322,-59) (2/11,3/16) -> (35/22,8/5) Hyperbolic Matrix(573,-110,224,-43) (3/16,1/5) -> (23/9,41/16) Hyperbolic Matrix(2141,-444,786,-163) (1/5,5/24) -> (49/18,79/29) Hyperbolic Matrix(1003,-212,440,-93) (4/19,3/14) -> (41/18,16/7) Hyperbolic Matrix(687,-148,376,-81) (3/14,5/23) -> (31/17,11/6) Hyperbolic Matrix(499,-110,186,-41) (5/23,2/9) -> (8/3,35/13) Hyperbolic Matrix(435,-98,1922,-433) (2/9,7/31) -> (7/31,12/53) Parabolic Matrix(11947,-2720,8420,-1917) (5/22,18/79) -> (166/117,105/74) Hyperbolic Matrix(6003,-1370,3650,-833) (13/57,8/35) -> (74/45,51/31) Hyperbolic Matrix(1547,-354,2102,-481) (8/35,3/13) -> (39/53,14/19) Hyperbolic Matrix(431,-100,556,-129) (3/13,4/17) -> (24/31,7/9) Hyperbolic Matrix(553,-132,398,-95) (4/17,1/4) -> (25/18,32/23) Hyperbolic Matrix(121,-32,450,-119) (1/4,4/15) -> (4/15,7/26) Parabolic Matrix(2333,-630,1048,-283) (7/26,10/37) -> (20/9,49/22) Hyperbolic Matrix(1855,-502,388,-105) (10/37,3/11) -> (43/9,24/5) Hyperbolic Matrix(597,-164,506,-139) (3/11,8/29) -> (20/17,13/11) Hyperbolic Matrix(1013,-280,1458,-403) (8/29,5/18) -> (25/36,16/23) Hyperbolic Matrix(2793,-778,1576,-439) (5/18,12/43) -> (62/35,39/22) Hyperbolic Matrix(2851,-796,6952,-1941) (12/43,19/68) -> (41/100,16/39) Hyperbolic Matrix(2731,-764,4336,-1213) (19/68,7/25) -> (17/27,63/100) Hyperbolic Matrix(1841,-516,4392,-1231) (7/25,16/57) -> (44/105,13/31) Hyperbolic Matrix(8427,-2366,13766,-3865) (16/57,25/89) -> (101/165,30/49) Hyperbolic Matrix(9551,-2684,15604,-4385) (25/89,9/32) -> (71/116,101/165) Hyperbolic Matrix(117,-34,148,-43) (2/7,3/10) -> (11/14,4/5) Hyperbolic Matrix(351,-106,904,-273) (3/10,7/23) -> (19/49,7/18) Hyperbolic Matrix(523,-162,1682,-521) (4/13,9/29) -> (9/29,14/45) Parabolic Matrix(403,-128,318,-101) (5/16,1/3) -> (19/15,33/26) Hyperbolic Matrix(1693,-588,930,-323) (1/3,8/23) -> (20/11,71/39) Hyperbolic Matrix(1181,-416,758,-267) (7/20,6/17) -> (14/9,53/34) Hyperbolic Matrix(281,-100,784,-279) (6/17,5/14) -> (5/14,14/39) Parabolic Matrix(1341,-482,1622,-583) (14/39,9/25) -> (19/23,24/29) Hyperbolic Matrix(2839,-1036,3620,-1321) (4/11,19/52) -> (69/88,40/51) Hyperbolic Matrix(10571,-3870,2920,-1069) (15/41,26/71) -> (76/21,105/29) Hyperbolic Matrix(3837,-1406,6536,-2395) (26/71,11/30) -> (27/46,64/109) Hyperbolic Matrix(6839,-2510,11174,-4101) (11/30,29/79) -> (41/67,71/116) Hyperbolic Matrix(1279,-470,166,-61) (18/49,7/19) -> (23/3,8/1) Hyperbolic Matrix(887,-328,1582,-585) (7/19,10/27) -> (14/25,23/41) Hyperbolic Matrix(499,-186,110,-41) (10/27,3/8) -> (9/2,32/7) Hyperbolic Matrix(1653,-626,2564,-971) (14/37,11/29) -> (29/45,20/31) Hyperbolic Matrix(6885,-2614,11734,-4455) (11/29,30/79) -> (44/75,71/121) Hyperbolic Matrix(1761,-670,2836,-1079) (19/50,8/21) -> (18/29,41/66) Hyperbolic Matrix(715,-274,274,-105) (8/21,5/13) -> (13/5,34/13) Hyperbolic Matrix(657,-254,1508,-583) (5/13,12/31) -> (10/23,17/39) Hyperbolic Matrix(2683,-1040,4574,-1773) (12/31,19/49) -> (17/29,44/75) Hyperbolic Matrix(1313,-512,3362,-1311) (7/18,16/41) -> (16/41,25/64) Parabolic Matrix(595,-242,1458,-593) (2/5,11/27) -> (11/27,20/49) Parabolic Matrix(3073,-1258,1942,-795) (9/22,25/61) -> (87/55,19/12) Hyperbolic Matrix(1509,-620,2558,-1051) (16/39,7/17) -> (23/39,36/61) Hyperbolic Matrix(1399,-578,806,-333) (7/17,12/29) -> (26/15,33/19) Hyperbolic Matrix(859,-356,1344,-557) (12/29,5/12) -> (23/36,16/25) Hyperbolic Matrix(1769,-740,3134,-1311) (5/12,18/43) -> (22/39,35/62) Hyperbolic Matrix(7607,-3186,2008,-841) (18/43,31/74) -> (53/14,72/19) Hyperbolic Matrix(857,-360,588,-247) (13/31,8/19) -> (16/11,19/13) Hyperbolic Matrix(1603,-676,562,-237) (8/19,19/45) -> (37/13,20/7) Hyperbolic Matrix(3099,-1310,854,-361) (19/45,11/26) -> (29/8,69/19) Hyperbolic Matrix(1227,-520,748,-317) (11/26,3/7) -> (41/25,23/14) Hyperbolic Matrix(371,-160,160,-69) (3/7,10/23) -> (30/13,7/3) Hyperbolic Matrix(1799,-786,634,-277) (24/55,7/16) -> (17/6,54/19) Hyperbolic Matrix(159,-70,184,-81) (7/16,4/9) -> (6/7,7/8) Hyperbolic Matrix(2251,-1016,1624,-733) (9/20,14/31) -> (18/13,61/44) Hyperbolic Matrix(4239,-1916,6020,-2721) (14/31,19/42) -> (69/98,50/71) Hyperbolic Matrix(8999,-4072,3768,-1705) (19/42,24/53) -> (160/67,43/18) Hyperbolic Matrix(10931,-4952,4002,-1813) (24/53,5/11) -> (183/67,112/41) Hyperbolic Matrix(469,-214,366,-167) (5/11,6/13) -> (32/25,9/7) Hyperbolic Matrix(363,-170,284,-133) (6/13,1/2) -> (23/18,32/25) Hyperbolic Matrix(895,-472,548,-289) (1/2,8/15) -> (80/49,49/30) Hyperbolic Matrix(493,-268,344,-187) (7/13,6/11) -> (10/7,33/23) Hyperbolic Matrix(441,-244,244,-135) (11/20,5/9) -> (9/5,29/16) Hyperbolic Matrix(1073,-600,828,-463) (5/9,14/25) -> (22/17,35/27) Hyperbolic Matrix(2969,-1666,1096,-615) (23/41,9/16) -> (65/24,19/7) Hyperbolic Matrix(1069,-602,1362,-767) (9/16,22/39) -> (40/51,11/14) Hyperbolic Matrix(7577,-4278,3328,-1879) (35/62,13/23) -> (107/47,41/18) Hyperbolic Matrix(337,-196,576,-335) (11/19,7/12) -> (7/12,17/29) Parabolic Matrix(7903,-4638,9578,-5621) (71/121,27/46) -> (33/40,85/103) Hyperbolic Matrix(10055,-5906,2106,-1237) (37/63,47/80) -> (105/22,43/9) Hyperbolic Matrix(2057,-1212,908,-535) (10/17,23/39) -> (43/19,34/15) Hyperbolic Matrix(5017,-2962,1936,-1143) (36/61,13/22) -> (57/22,70/27) Hyperbolic Matrix(1145,-678,1552,-919) (13/22,16/27) -> (14/19,31/42) Hyperbolic Matrix(1193,-708,214,-127) (16/27,3/5) -> (39/7,28/5) Hyperbolic Matrix(379,-230,496,-301) (3/5,14/23) -> (16/21,13/17) Hyperbolic Matrix(1227,-748,520,-317) (14/23,11/18) -> (33/14,26/11) Hyperbolic Matrix(4009,-2452,1084,-663) (11/18,41/67) -> (85/23,37/10) Hyperbolic Matrix(895,-548,472,-289) (30/49,19/31) -> (17/9,2/1) Hyperbolic Matrix(1083,-664,778,-477) (19/31,8/13) -> (32/23,7/5) Hyperbolic Matrix(375,-232,118,-73) (8/13,13/21) -> (3/1,16/5) Hyperbolic Matrix(2441,-1512,2956,-1831) (13/21,44/71) -> (52/63,19/23) Hyperbolic Matrix(7085,-4392,1618,-1003) (44/71,31/50) -> (35/8,92/21) Hyperbolic Matrix(9239,-5732,3870,-2401) (49/79,18/29) -> (74/31,117/49) Hyperbolic Matrix(513,-322,94,-59) (5/8,17/27) -> (27/5,11/2) Hyperbolic Matrix(7693,-4848,2074,-1307) (46/73,29/46) -> (89/24,26/7) Hyperbolic Matrix(2889,-1822,4102,-2587) (29/46,12/19) -> (50/71,31/44) Hyperbolic Matrix(325,-206,396,-251) (12/19,7/11) -> (9/11,14/17) Hyperbolic Matrix(1161,-740,626,-399) (7/11,30/47) -> (50/27,13/7) Hyperbolic Matrix(5613,-3584,1646,-1051) (30/47,23/36) -> (75/22,58/17) Hyperbolic Matrix(1111,-712,788,-505) (16/25,9/14) -> (31/22,24/17) Hyperbolic Matrix(11093,-7146,2358,-1519) (38/59,29/45) -> (127/27,80/17) Hyperbolic Matrix(4339,-2804,1778,-1149) (31/48,11/17) -> (61/25,83/34) Hyperbolic Matrix(2027,-1316,784,-509) (11/17,13/20) -> (31/12,75/29) Hyperbolic Matrix(691,-450,1058,-689) (13/20,15/23) -> (15/23,17/26) Parabolic Matrix(585,-404,404,-279) (11/16,9/13) -> (13/9,29/20) Hyperbolic Matrix(493,-344,268,-187) (16/23,7/10) -> (11/6,24/13) Hyperbolic Matrix(1739,-1226,200,-141) (43/61,12/17) -> (26/3,9/1) Hyperbolic Matrix(3561,-2518,1492,-1055) (12/17,29/41) -> (31/13,74/31) Hyperbolic Matrix(2937,-2078,824,-583) (29/41,17/24) -> (57/16,25/7) Hyperbolic Matrix(1111,-788,712,-505) (17/24,5/7) -> (39/25,25/16) Hyperbolic Matrix(177,-128,242,-175) (5/7,8/11) -> (8/11,11/15) Parabolic Matrix(1007,-740,132,-97) (11/15,25/34) -> (15/2,23/3) Hyperbolic Matrix(4553,-3350,1336,-983) (25/34,39/53) -> (17/5,75/22) Hyperbolic Matrix(8131,-6004,3192,-2357) (31/42,48/65) -> (28/11,107/42) Hyperbolic Matrix(8479,-6264,4896,-3617) (48/65,17/23) -> (71/41,168/97) Hyperbolic Matrix(917,-680,414,-307) (17/23,3/4) -> (31/14,51/23) Hyperbolic Matrix(3497,-2660,798,-607) (19/25,16/21) -> (92/21,57/13) Hyperbolic Matrix(431,-330,64,-49) (13/17,10/13) -> (20/3,7/1) Hyperbolic Matrix(1073,-828,600,-463) (10/13,17/22) -> (25/14,34/19) Hyperbolic Matrix(2957,-2286,2058,-1591) (17/22,41/53) -> (79/55,23/16) Hyperbolic Matrix(4113,-3182,1586,-1227) (41/53,24/31) -> (70/27,13/5) Hyperbolic Matrix(469,-366,214,-167) (7/9,18/23) -> (24/11,11/5) Hyperbolic Matrix(2089,-1636,724,-567) (18/23,47/60) -> (23/8,26/9) Hyperbolic Matrix(12059,-9450,8500,-6661) (76/97,29/37) -> (61/43,166/117) Hyperbolic Matrix(715,-578,882,-713) (4/5,17/21) -> (17/21,30/37) Parabolic Matrix(627,-512,398,-325) (13/16,9/11) -> (11/7,41/26) Hyperbolic Matrix(2291,-1888,938,-773) (14/17,33/40) -> (83/34,22/9) Hyperbolic Matrix(17197,-14192,4996,-4123) (85/103,52/63) -> (148/43,31/9) Hyperbolic Matrix(3699,-3064,2266,-1877) (24/29,5/6) -> (111/68,80/49) Hyperbolic Matrix(289,-242,166,-139) (5/6,11/13) -> (33/19,7/4) Hyperbolic Matrix(1479,-1256,1028,-873) (11/13,17/20) -> (23/16,59/41) Hyperbolic Matrix(3447,-2938,1456,-1241) (23/27,6/7) -> (116/49,45/19) Hyperbolic Matrix(283,-250,60,-53) (7/8,1/1) -> (33/7,19/4) Hyperbolic Matrix(653,-714,182,-199) (1/1,10/9) -> (104/29,61/17) Hyperbolic Matrix(1219,-1366,340,-381) (10/9,9/8) -> (43/12,104/29) Hyperbolic Matrix(1315,-1496,356,-405) (17/15,8/7) -> (48/13,85/23) Hyperbolic Matrix(1097,-1260,424,-487) (8/7,15/13) -> (75/29,44/17) Hyperbolic Matrix(2537,-2934,1604,-1855) (15/13,22/19) -> (68/43,87/55) Hyperbolic Matrix(1363,-1602,576,-677) (7/6,20/17) -> (26/11,71/30) Hyperbolic Matrix(137,-166,52,-63) (6/5,5/4) -> (21/8,8/3) Hyperbolic Matrix(1143,-1442,302,-381) (5/4,24/19) -> (34/9,53/14) Hyperbolic Matrix(2953,-3734,1796,-2271) (24/19,43/34) -> (23/14,74/45) Hyperbolic Matrix(3421,-4330,2164,-2739) (43/34,19/15) -> (49/31,117/74) Hyperbolic Matrix(737,-936,100,-127) (33/26,14/11) -> (22/3,15/2) Hyperbolic Matrix(1069,-1362,602,-767) (14/11,37/29) -> (55/31,16/9) Hyperbolic Matrix(2037,-2600,1118,-1427) (37/29,23/18) -> (51/28,31/17) Hyperbolic Matrix(431,-556,100,-129) (9/7,22/17) -> (30/7,13/3) Hyperbolic Matrix(99,-130,16,-21) (13/10,4/3) -> (6/1,13/2) Hyperbolic Matrix(353,-484,256,-351) (15/11,11/8) -> (11/8,29/21) Parabolic Matrix(1531,-2118,446,-617) (47/34,18/13) -> (24/7,55/16) Hyperbolic Matrix(2673,-3710,1544,-2143) (43/31,25/18) -> (45/26,71/41) Hyperbolic Matrix(503,-712,142,-201) (24/17,17/12) -> (7/2,32/9) Hyperbolic Matrix(2295,-3254,974,-1381) (17/12,61/43) -> (73/31,33/14) Hyperbolic Matrix(11561,-16406,6488,-9207) (105/74,44/31) -> (98/55,139/78) Hyperbolic Matrix(1223,-1740,220,-313) (27/19,37/26) -> (11/2,39/7) Hyperbolic Matrix(4369,-6272,3042,-4367) (33/23,56/39) -> (56/39,79/55) Parabolic Matrix(3427,-4932,904,-1301) (59/41,36/25) -> (72/19,19/5) Hyperbolic Matrix(653,-942,296,-427) (36/25,13/9) -> (11/5,42/19) Hyperbolic Matrix(899,-1304,202,-293) (29/20,16/11) -> (40/9,9/2) Hyperbolic Matrix(709,-1038,278,-407) (19/13,3/2) -> (51/20,23/9) Hyperbolic Matrix(239,-370,104,-161) (3/2,14/9) -> (16/7,23/10) Hyperbolic Matrix(8521,-13290,2346,-3659) (92/59,39/25) -> (69/19,178/49) Hyperbolic Matrix(859,-1344,356,-557) (25/16,11/7) -> (41/17,29/12) Hyperbolic Matrix(1121,-1768,324,-511) (41/26,30/19) -> (38/11,7/2) Hyperbolic Matrix(1885,-2978,1002,-1583) (30/19,79/50) -> (15/8,32/17) Hyperbolic Matrix(11395,-18018,3312,-5237) (117/74,68/43) -> (86/25,117/34) Hyperbolic Matrix(1995,-3172,778,-1237) (27/17,35/22) -> (41/16,59/23) Hyperbolic Matrix(145,-234,44,-71) (8/5,13/8) -> (13/4,10/3) Hyperbolic Matrix(5429,-8860,3046,-4971) (31/19,111/68) -> (139/78,41/23) Hyperbolic Matrix(1039,-1698,216,-353) (49/30,18/11) -> (24/5,29/6) Hyperbolic Matrix(1123,-1840,130,-213) (18/11,59/36) -> (17/2,26/3) Hyperbolic Matrix(1325,-2172,158,-259) (59/36,41/25) -> (25/3,17/2) Hyperbolic Matrix(1177,-1940,344,-567) (28/17,5/3) -> (65/19,24/7) Hyperbolic Matrix(169,-288,98,-167) (5/3,12/7) -> (12/7,19/11) Parabolic Matrix(48349,-83740,14048,-24331) (168/97,265/153) -> (265/77,148/43) Hyperbolic Matrix(32741,-56710,9514,-16479) (265/153,97/56) -> (117/34,265/77) Hyperbolic Matrix(9847,-17058,2656,-4601) (97/56,26/15) -> (152/41,89/24) Hyperbolic Matrix(1127,-1990,508,-897) (30/17,23/13) -> (51/23,20/9) Hyperbolic Matrix(2195,-3886,466,-825) (23/13,62/35) -> (80/17,33/7) Hyperbolic Matrix(2981,-5304,820,-1459) (16/9,73/41) -> (149/41,40/11) Hyperbolic Matrix(9237,-16450,2542,-4527) (73/41,57/32) -> (109/30,149/41) Hyperbolic Matrix(7759,-13824,1626,-2897) (57/32,98/55) -> (62/13,105/22) Hyperbolic Matrix(1365,-2434,724,-1291) (41/23,66/37) -> (32/17,17/9) Hyperbolic Matrix(567,-1028,230,-417) (29/16,20/11) -> (32/13,5/2) Hyperbolic Matrix(6385,-11626,2506,-4563) (71/39,51/28) -> (107/42,79/31) Hyperbolic Matrix(1601,-2958,374,-691) (24/13,37/20) -> (77/18,30/7) Hyperbolic Matrix(4559,-8438,1066,-1973) (37/20,50/27) -> (124/29,77/18) Hyperbolic Matrix(451,-840,80,-149) (13/7,15/8) -> (45/8,17/3) Hyperbolic Matrix(313,-676,144,-311) (15/7,13/6) -> (13/6,37/17) Parabolic Matrix(2401,-5350,942,-2099) (49/22,29/13) -> (79/31,51/20) Hyperbolic Matrix(3219,-7270,886,-2001) (9/4,52/23) -> (178/49,109/30) Hyperbolic Matrix(5731,-12964,2400,-5429) (52/23,43/19) -> (117/49,160/67) Hyperbolic Matrix(883,-2004,256,-581) (34/15,25/11) -> (31/9,38/11) Hyperbolic Matrix(3829,-8712,1682,-3827) (25/11,66/29) -> (66/29,107/47) Parabolic Matrix(2439,-5618,1058,-2437) (23/10,53/23) -> (53/23,83/36) Parabolic Matrix(1361,-3200,578,-1359) (7/3,40/17) -> (40/17,73/31) Parabolic Matrix(8465,-20036,3126,-7399) (71/30,116/49) -> (176/65,65/24) Hyperbolic Matrix(627,-1502,134,-321) (55/23,12/5) -> (14/3,61/13) Hyperbolic Matrix(4079,-9828,1126,-2713) (53/22,94/39) -> (134/37,29/8) Hyperbolic Matrix(6373,-15364,1760,-4243) (94/39,41/17) -> (105/29,134/37) Hyperbolic Matrix(595,-1458,242,-593) (22/9,27/11) -> (27/11,32/13) Parabolic Matrix(467,-1204,64,-165) (18/7,49/19) -> (7/1,22/3) Hyperbolic Matrix(2737,-7066,796,-2055) (80/31,31/12) -> (55/16,86/25) Hyperbolic Matrix(2311,-6050,882,-2309) (34/13,55/21) -> (55/21,76/29) Parabolic Matrix(679,-1830,82,-221) (35/13,62/23) -> (8/1,25/3) Hyperbolic Matrix(1703,-4604,462,-1249) (27/10,73/27) -> (11/3,59/16) Hyperbolic Matrix(9103,-24642,3362,-9101) (46/17,111/41) -> (111/41,176/65) Parabolic Matrix(1041,-2836,214,-583) (79/29,30/11) -> (34/7,5/1) Hyperbolic Matrix(3787,-10348,886,-2421) (112/41,41/15) -> (47/11,124/29) Hyperbolic Matrix(141,-392,50,-139) (11/4,14/5) -> (14/5,17/6) Parabolic Matrix(719,-2094,194,-565) (26/9,3/1) -> (63/17,152/41) Hyperbolic Matrix(523,-1682,162,-521) (16/5,29/9) -> (29/9,42/13) Parabolic Matrix(1145,-3872,338,-1143) (27/8,44/13) -> (44/13,61/18) Parabolic Matrix(1067,-3644,224,-765) (58/17,41/12) -> (19/4,62/13) Hyperbolic Matrix(1417,-5042,292,-1039) (32/9,89/25) -> (63/13,34/7) Hyperbolic Matrix(1733,-6172,358,-1275) (89/25,57/16) -> (29/6,63/13) Hyperbolic Matrix(241,-900,64,-239) (26/7,15/4) -> (15/4,34/9) Parabolic Matrix(435,-1922,98,-433) (22/5,31/7) -> (31/7,40/9) Parabolic Matrix(1881,-8836,400,-1879) (61/13,47/10) -> (47/10,127/27) Parabolic Matrix(97,-512,18,-95) (5/1,16/3) -> (16/3,27/5) Parabolic Matrix(331,-2178,50,-329) (13/2,33/5) -> (33/5,53/8) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(583,278,216,103) -> Matrix(1,0,-2,1) Matrix(285,134,1006,473) -> Matrix(5,-2,-2,1) Matrix(1853,866,1072,501) -> Matrix(19,-6,-22,7) Matrix(281,130,-776,-359) -> Matrix(3,-2,2,-1) Matrix(139,64,354,163) -> Matrix(1,-2,0,1) Matrix(829,374,348,157) -> Matrix(1,0,-4,1) Matrix(139,62,204,91) -> Matrix(3,-2,-4,3) Matrix(271,120,70,31) -> Matrix(1,0,-2,1) Matrix(1219,536,680,299) -> Matrix(7,-2,-10,3) Matrix(269,118,1288,565) -> Matrix(7,-2,-10,3) Matrix(271,118,604,263) -> Matrix(5,-2,-2,1) Matrix(539,234,-1412,-613) -> Matrix(5,-2,-2,1) Matrix(923,392,-2178,-925) -> Matrix(3,-2,2,-1) Matrix(5935,2514,3756,1591) -> Matrix(1,0,0,1) Matrix(1577,666,1120,473) -> Matrix(1,0,-2,1) Matrix(2237,944,2628,1109) -> Matrix(1,2,-2,-3) Matrix(659,278,64,27) -> Matrix(1,0,-2,1) Matrix(395,166,-1116,-469) -> Matrix(1,0,0,1) Matrix(1699,712,4646,1947) -> Matrix(9,-2,-4,1) Matrix(6671,2794,3856,1615) -> Matrix(13,-4,-16,5) Matrix(3527,1476,1374,575) -> Matrix(9,-4,-20,9) Matrix(393,164,520,217) -> Matrix(1,0,-2,1) Matrix(391,162,712,295) -> Matrix(7,-4,-12,7) Matrix(905,374,196,81) -> Matrix(1,0,-4,1) Matrix(901,370,-2384,-979) -> Matrix(3,-2,-10,7) Matrix(3477,1426,968,397) -> Matrix(5,-4,-16,13) Matrix(9913,4062,7148,2929) -> Matrix(7,-6,-8,7) Matrix(4121,1688,7014,2873) -> Matrix(3,-2,8,-5) Matrix(641,262,1030,421) -> Matrix(11,-8,-4,3) Matrix(129,52,62,25) -> Matrix(1,0,-2,1) Matrix(877,346,2010,793) -> Matrix(1,0,0,1) Matrix(1877,738,440,173) -> Matrix(3,-2,-4,3) Matrix(1373,538,564,221) -> Matrix(11,-6,-20,11) Matrix(1371,536,376,147) -> Matrix(3,-2,-10,7) Matrix(375,146,994,387) -> Matrix(11,-8,-4,3) Matrix(743,288,-1922,-745) -> Matrix(11,-10,10,-9) Matrix(1611,622,-7120,-2749) -> Matrix(5,-6,6,-7) Matrix(3833,1478,1486,573) -> Matrix(5,-6,-14,17) Matrix(737,282,1048,401) -> Matrix(1,-4,-2,9) Matrix(1597,610,-5778,-2207) -> Matrix(1,8,0,1) Matrix(121,46,676,257) -> Matrix(1,2,0,1) Matrix(491,186,916,347) -> Matrix(1,2,-2,-3) Matrix(609,230,-2624,-991) -> Matrix(1,0,6,1) Matrix(1329,494,304,113) -> Matrix(11,-6,-20,11) Matrix(361,134,2298,853) -> Matrix(3,-2,8,-5) Matrix(2175,806,904,335) -> Matrix(7,-4,-12,7) Matrix(481,178,1570,581) -> Matrix(3,-2,-4,3) Matrix(1805,666,664,245) -> Matrix(1,0,-2,1) Matrix(241,88,178,65) -> Matrix(1,-2,0,1) Matrix(1549,560,-5120,-1851) -> Matrix(1,-4,0,1) Matrix(949,342,1368,493) -> Matrix(1,0,-2,1) Matrix(2613,940,770,277) -> Matrix(1,-2,-2,5) Matrix(2489,894,3856,1385) -> Matrix(5,4,-4,-3) Matrix(357,128,-1838,-659) -> Matrix(1,0,0,1) Matrix(2843,1018,768,275) -> Matrix(1,0,-6,1) Matrix(473,168,-2182,-775) -> Matrix(7,-2,4,-1) Matrix(233,82,412,145) -> Matrix(1,0,-4,1) Matrix(221,70,-944,-299) -> Matrix(1,0,-2,1) Matrix(2997,944,1108,349) -> Matrix(3,-2,2,-1) Matrix(777,244,-3436,-1079) -> Matrix(1,0,0,1) Matrix(663,206,-2372,-737) -> Matrix(5,-4,4,-3) Matrix(329,102,1874,581) -> Matrix(5,-4,4,-3) Matrix(1429,442,1762,545) -> Matrix(13,-12,-14,13) Matrix(111,34,-604,-185) -> Matrix(1,0,0,1) Matrix(1965,596,544,165) -> Matrix(1,-2,-4,9) Matrix(3269,990,492,149) -> Matrix(1,-10,-2,21) Matrix(545,164,216,65) -> Matrix(1,0,-2,1) Matrix(431,128,-1458,-433) -> Matrix(1,0,6,1) Matrix(2479,732,6526,1927) -> Matrix(13,-2,-6,1) Matrix(1295,382,-8248,-2433) -> Matrix(1,0,-10,1) Matrix(1079,318,3824,1127) -> Matrix(9,-2,-4,1) Matrix(965,282,592,173) -> Matrix(9,-4,-2,1) Matrix(215,62,52,15) -> Matrix(3,-2,-4,3) Matrix(211,60,320,91) -> Matrix(5,-4,-6,5) Matrix(4025,1136,5134,1449) -> Matrix(5,-6,-4,5) Matrix(3281,924,1850,521) -> Matrix(1,-2,0,1) Matrix(1587,446,580,163) -> Matrix(1,-2,0,1) Matrix(845,236,2424,677) -> Matrix(1,-2,2,-3) Matrix(3901,1088,2370,661) -> Matrix(3,-4,-2,3) Matrix(1687,470,4318,1203) -> Matrix(11,-20,-6,11) Matrix(945,262,422,117) -> Matrix(3,-8,-4,11) Matrix(3569,986,1104,305) -> Matrix(1,-22,-2,45) Matrix(6085,1676,4404,1213) -> Matrix(7,8,-8,-9) Matrix(7759,2136,2728,751) -> Matrix(1,2,-2,-3) Matrix(5139,1414,12266,3375) -> Matrix(1,2,-2,-3) Matrix(4085,1122,892,245) -> Matrix(1,-2,-2,5) Matrix(1991,546,784,215) -> Matrix(1,0,-2,1) Matrix(209,56,362,97) -> Matrix(1,0,-4,1) Matrix(309,82,260,69) -> Matrix(1,0,-4,1) Matrix(619,162,256,67) -> Matrix(7,-4,-12,7) Matrix(499,118,148,35) -> Matrix(1,-2,-2,5) Matrix(3671,858,1536,359) -> Matrix(1,2,-2,-3) Matrix(2775,646,494,115) -> Matrix(1,0,2,1) Matrix(5249,1220,2276,529) -> Matrix(25,2,-38,-3) Matrix(2467,566,3500,803) -> Matrix(5,-2,-12,5) Matrix(4043,926,2266,519) -> Matrix(3,-2,-4,3) Matrix(3249,742,740,169) -> Matrix(15,-8,-28,15) Matrix(887,202,786,179) -> Matrix(3,-2,-4,3) Matrix(4423,1002,1620,367) -> Matrix(5,-4,-6,5) Matrix(4611,1040,7852,1771) -> Matrix(5,-4,14,-11) Matrix(6377,1436,8140,1833) -> Matrix(9,-8,-10,9) Matrix(881,198,2158,485) -> Matrix(19,-18,-20,19) Matrix(291,64,50,11) -> Matrix(1,-2,0,1) Matrix(5337,1156,2036,441) -> Matrix(1,-2,6,-11) Matrix(679,146,386,83) -> Matrix(3,-8,-4,11) Matrix(1257,268,530,113) -> Matrix(1,0,-2,1) Matrix(869,184,3084,653) -> Matrix(1,-4,0,1) Matrix(3371,712,1302,275) -> Matrix(1,-2,-4,9) Matrix(191,40,530,111) -> Matrix(1,-8,0,1) Matrix(4237,818,2450,473) -> Matrix(5,6,-6,-7) Matrix(469,90,1506,289) -> Matrix(1,0,4,1) Matrix(937,178,658,125) -> Matrix(3,-2,-4,3) Matrix(653,122,562,105) -> Matrix(3,-2,-4,3) Matrix(2239,416,1028,191) -> Matrix(13,-12,-14,13) Matrix(1021,184,2780,501) -> Matrix(1,-4,0,1) Matrix(1573,282,6900,1237) -> Matrix(1,-2,6,-11) Matrix(1667,298,2590,463) -> Matrix(3,-10,-2,7) Matrix(1201,214,926,165) -> Matrix(1,-2,0,1) Matrix(183,32,-1058,-185) -> Matrix(1,-8,0,1) Matrix(1193,204,1924,329) -> Matrix(1,-2,0,1) Matrix(1631,264,1180,191) -> Matrix(5,6,-6,-7) Matrix(2619,416,724,115) -> Matrix(1,0,-2,1) Matrix(14159,2226,5184,815) -> Matrix(9,2,-14,-3) Matrix(4685,734,7436,1165) -> Matrix(15,2,-8,-1) Matrix(449,70,1982,309) -> Matrix(1,0,20,1) Matrix(447,68,46,7) -> Matrix(1,0,-4,1) Matrix(2507,378,1028,155) -> Matrix(11,-6,-20,11) Matrix(801,118,224,33) -> Matrix(3,-2,-10,7) Matrix(349,46,220,29) -> Matrix(1,2,0,1) Matrix(863,104,390,47) -> Matrix(3,4,-4,-5) Matrix(171,20,1120,131) -> Matrix(1,0,8,1) Matrix(1115,126,1584,179) -> Matrix(5,-2,-12,5) Matrix(423,44,298,31) -> Matrix(3,-2,-4,3) Matrix(973,-92,624,-59) -> Matrix(1,-2,2,-3) Matrix(619,-66,1510,-161) -> Matrix(7,-6,-8,7) Matrix(1093,-124,238,-27) -> Matrix(1,-4,-2,9) Matrix(1559,-188,340,-41) -> Matrix(1,0,-2,1) Matrix(133,-18,436,-59) -> Matrix(1,0,0,1) Matrix(1587,-236,464,-69) -> Matrix(7,2,-18,-5) Matrix(331,-50,2178,-329) -> Matrix(1,0,20,1) Matrix(2303,-358,624,-97) -> Matrix(1,0,-8,1) Matrix(917,-146,1476,-235) -> Matrix(1,-4,0,1) Matrix(649,-112,226,-39) -> Matrix(1,0,-2,1) Matrix(5563,-972,4012,-701) -> Matrix(5,-4,-6,5) Matrix(513,-94,322,-59) -> Matrix(1,-2,0,1) Matrix(573,-110,224,-43) -> Matrix(1,2,-2,-3) Matrix(2141,-444,786,-163) -> Matrix(7,6,-6,-5) Matrix(1003,-212,440,-93) -> Matrix(1,2,-2,-3) Matrix(687,-148,376,-81) -> Matrix(1,0,0,1) Matrix(499,-110,186,-41) -> Matrix(1,0,2,1) Matrix(435,-98,1922,-433) -> Matrix(1,0,28,1) Matrix(11947,-2720,8420,-1917) -> Matrix(19,-2,-28,3) Matrix(6003,-1370,3650,-833) -> Matrix(13,-2,-6,1) Matrix(1547,-354,2102,-481) -> Matrix(1,0,-4,1) Matrix(431,-100,556,-129) -> Matrix(5,-2,-2,1) Matrix(553,-132,398,-95) -> Matrix(5,-4,-6,5) Matrix(121,-32,450,-119) -> Matrix(1,-8,0,1) Matrix(2333,-630,1048,-283) -> Matrix(3,22,-4,-29) Matrix(1855,-502,388,-105) -> Matrix(3,14,-8,-37) Matrix(597,-164,506,-139) -> Matrix(1,2,-2,-3) Matrix(1013,-280,1458,-403) -> Matrix(1,2,-2,-3) Matrix(2793,-778,1576,-439) -> Matrix(1,4,-2,-7) Matrix(2851,-796,6952,-1941) -> Matrix(5,16,-6,-19) Matrix(2731,-764,4336,-1213) -> Matrix(3,8,-2,-5) Matrix(1841,-516,4392,-1231) -> Matrix(1,4,-2,-7) Matrix(8427,-2366,13766,-3865) -> Matrix(1,2,2,5) Matrix(9551,-2684,15604,-4385) -> Matrix(1,2,-2,-3) Matrix(117,-34,148,-43) -> Matrix(1,0,0,1) Matrix(351,-106,904,-273) -> Matrix(3,2,-2,-1) Matrix(523,-162,1682,-521) -> Matrix(1,0,8,1) Matrix(403,-128,318,-101) -> Matrix(1,0,0,1) Matrix(1693,-588,930,-323) -> Matrix(1,-2,-2,5) Matrix(1181,-416,758,-267) -> Matrix(1,-4,2,-7) Matrix(281,-100,784,-279) -> Matrix(1,-16,0,1) Matrix(1341,-482,1622,-583) -> Matrix(1,10,-2,-19) Matrix(2839,-1036,3620,-1321) -> Matrix(3,10,-4,-13) Matrix(10571,-3870,2920,-1069) -> Matrix(1,2,-4,-7) Matrix(3837,-1406,6536,-2395) -> Matrix(1,2,4,9) Matrix(6839,-2510,11174,-4101) -> Matrix(1,2,0,1) Matrix(1279,-470,166,-61) -> Matrix(1,2,-2,-3) Matrix(887,-328,1582,-585) -> Matrix(1,2,-2,-3) Matrix(499,-186,110,-41) -> Matrix(1,0,-2,1) Matrix(1653,-626,2564,-971) -> Matrix(5,14,-4,-11) Matrix(6885,-2614,11734,-4455) -> Matrix(1,2,6,13) Matrix(1761,-670,2836,-1079) -> Matrix(7,18,-2,-5) Matrix(715,-274,274,-105) -> Matrix(1,2,-4,-7) Matrix(657,-254,1508,-583) -> Matrix(1,2,2,5) Matrix(2683,-1040,4574,-1773) -> Matrix(1,2,2,5) Matrix(1313,-512,3362,-1311) -> Matrix(11,24,-6,-13) Matrix(595,-242,1458,-593) -> Matrix(23,24,-24,-25) Matrix(3073,-1258,1942,-795) -> Matrix(7,6,8,7) Matrix(1509,-620,2558,-1051) -> Matrix(5,4,6,5) Matrix(1399,-578,806,-333) -> Matrix(3,4,-4,-5) Matrix(859,-356,1344,-557) -> Matrix(7,6,-6,-5) Matrix(1769,-740,3134,-1311) -> Matrix(3,2,-8,-5) Matrix(7607,-3186,2008,-841) -> Matrix(3,2,10,7) Matrix(857,-360,588,-247) -> Matrix(3,2,-8,-5) Matrix(1603,-676,562,-237) -> Matrix(5,2,-8,-3) Matrix(3099,-1310,854,-361) -> Matrix(1,0,-2,1) Matrix(1227,-520,748,-317) -> Matrix(3,2,-2,-1) Matrix(371,-160,160,-69) -> Matrix(5,2,-8,-3) Matrix(1799,-786,634,-277) -> Matrix(3,-2,-4,3) Matrix(159,-70,184,-81) -> Matrix(1,0,-2,1) Matrix(2251,-1016,1624,-733) -> Matrix(3,4,-4,-5) Matrix(4239,-1916,6020,-2721) -> Matrix(3,2,-8,-5) Matrix(8999,-4072,3768,-1705) -> Matrix(3,-2,-4,3) Matrix(10931,-4952,4002,-1813) -> Matrix(1,2,-2,-3) Matrix(469,-214,366,-167) -> Matrix(1,0,0,1) Matrix(363,-170,284,-133) -> Matrix(1,2,0,1) Matrix(895,-472,548,-289) -> Matrix(19,16,-6,-5) Matrix(493,-268,344,-187) -> Matrix(1,0,0,1) Matrix(441,-244,244,-135) -> Matrix(5,2,-8,-3) Matrix(1073,-600,828,-463) -> Matrix(1,0,2,1) Matrix(2969,-1666,1096,-615) -> Matrix(3,2,-2,-1) Matrix(1069,-602,1362,-767) -> Matrix(5,2,-8,-3) Matrix(7577,-4278,3328,-1879) -> Matrix(11,4,-14,-5) Matrix(337,-196,576,-335) -> Matrix(1,0,8,1) Matrix(7903,-4638,9578,-5621) -> Matrix(7,-2,-10,3) Matrix(10055,-5906,2106,-1237) -> Matrix(1,-2,-2,5) Matrix(2057,-1212,908,-535) -> Matrix(3,-2,-4,3) Matrix(5017,-2962,1936,-1143) -> Matrix(1,0,-4,1) Matrix(1145,-678,1552,-919) -> Matrix(1,0,2,1) Matrix(1193,-708,214,-127) -> Matrix(1,0,-2,1) Matrix(379,-230,496,-301) -> Matrix(1,0,0,1) Matrix(1227,-748,520,-317) -> Matrix(1,2,-2,-3) Matrix(4009,-2452,1084,-663) -> Matrix(1,0,-6,1) Matrix(895,-548,472,-289) -> Matrix(1,0,-2,1) Matrix(1083,-664,778,-477) -> Matrix(3,-2,-4,3) Matrix(375,-232,118,-73) -> Matrix(1,6,-2,-11) Matrix(2441,-1512,2956,-1831) -> Matrix(1,6,-2,-11) Matrix(7085,-4392,1618,-1003) -> Matrix(1,10,-2,-19) Matrix(9239,-5732,3870,-2401) -> Matrix(3,16,-4,-21) Matrix(513,-322,94,-59) -> Matrix(1,2,0,1) Matrix(7693,-4848,2074,-1307) -> Matrix(1,2,-10,-19) Matrix(2889,-1822,4102,-2587) -> Matrix(5,8,-12,-19) Matrix(325,-206,396,-251) -> Matrix(3,4,-4,-5) Matrix(1161,-740,626,-399) -> Matrix(1,2,-4,-7) Matrix(5613,-3584,1646,-1051) -> Matrix(1,2,-4,-7) Matrix(1111,-712,788,-505) -> Matrix(1,2,-2,-3) Matrix(11093,-7146,2358,-1519) -> Matrix(13,18,-34,-47) Matrix(4339,-2804,1778,-1149) -> Matrix(29,36,-54,-67) Matrix(2027,-1316,784,-509) -> Matrix(9,10,-28,-31) Matrix(691,-450,1058,-689) -> Matrix(31,32,-32,-33) Matrix(585,-404,404,-279) -> Matrix(9,4,-16,-7) Matrix(493,-344,268,-187) -> Matrix(1,0,0,1) Matrix(1739,-1226,200,-141) -> Matrix(5,2,2,1) Matrix(3561,-2518,1492,-1055) -> Matrix(17,6,-20,-7) Matrix(2937,-2078,824,-583) -> Matrix(29,10,-90,-31) Matrix(1111,-788,712,-505) -> Matrix(7,2,10,3) Matrix(177,-128,242,-175) -> Matrix(1,0,6,1) Matrix(1007,-740,132,-97) -> Matrix(1,0,-4,1) Matrix(4553,-3350,1336,-983) -> Matrix(1,-2,-2,5) Matrix(8131,-6004,3192,-2357) -> Matrix(1,0,-4,1) Matrix(8479,-6264,4896,-3617) -> Matrix(7,-6,-8,7) Matrix(917,-680,414,-307) -> Matrix(5,-4,-6,5) Matrix(3497,-2660,798,-607) -> Matrix(1,6,-2,-11) Matrix(431,-330,64,-49) -> Matrix(1,-2,-2,5) Matrix(1073,-828,600,-463) -> Matrix(1,4,-2,-7) Matrix(2957,-2286,2058,-1591) -> Matrix(1,4,-2,-7) Matrix(4113,-3182,1586,-1227) -> Matrix(1,2,-4,-7) Matrix(469,-366,214,-167) -> Matrix(7,8,-8,-9) Matrix(2089,-1636,724,-567) -> Matrix(1,0,0,1) Matrix(12059,-9450,8500,-6661) -> Matrix(13,8,-18,-11) Matrix(715,-578,882,-713) -> Matrix(15,16,-16,-17) Matrix(627,-512,398,-325) -> Matrix(3,2,4,3) Matrix(2291,-1888,938,-773) -> Matrix(13,6,-24,-11) Matrix(17197,-14192,4996,-4123) -> Matrix(7,4,-16,-9) Matrix(3699,-3064,2266,-1877) -> Matrix(15,4,-4,-1) Matrix(289,-242,166,-139) -> Matrix(3,4,-4,-5) Matrix(1479,-1256,1028,-873) -> Matrix(1,0,0,1) Matrix(3447,-2938,1456,-1241) -> Matrix(3,2,-8,-5) Matrix(283,-250,60,-53) -> Matrix(3,2,-8,-5) Matrix(653,-714,182,-199) -> Matrix(1,2,-4,-7) Matrix(1219,-1366,340,-381) -> Matrix(1,0,-2,1) Matrix(1315,-1496,356,-405) -> Matrix(1,0,-4,1) Matrix(1097,-1260,424,-487) -> Matrix(1,2,-4,-7) Matrix(2537,-2934,1604,-1855) -> Matrix(1,0,2,1) Matrix(1363,-1602,576,-677) -> Matrix(5,2,-8,-3) Matrix(137,-166,52,-63) -> Matrix(1,0,0,1) Matrix(1143,-1442,302,-381) -> Matrix(1,0,4,1) Matrix(2953,-3734,1796,-2271) -> Matrix(5,-2,-2,1) Matrix(3421,-4330,2164,-2739) -> Matrix(1,0,0,1) Matrix(737,-936,100,-127) -> Matrix(1,0,-4,1) Matrix(1069,-1362,602,-767) -> Matrix(3,-2,-4,3) Matrix(2037,-2600,1118,-1427) -> Matrix(1,-2,-2,5) Matrix(431,-556,100,-129) -> Matrix(1,2,-2,-3) Matrix(99,-130,16,-21) -> Matrix(1,2,-2,-3) Matrix(353,-484,256,-351) -> Matrix(11,12,-12,-13) Matrix(1531,-2118,446,-617) -> Matrix(9,8,-26,-23) Matrix(2673,-3710,1544,-2143) -> Matrix(1,2,-2,-3) Matrix(503,-712,142,-201) -> Matrix(5,4,-14,-11) Matrix(2295,-3254,974,-1381) -> Matrix(3,2,-2,-1) Matrix(11561,-16406,6488,-9207) -> Matrix(23,16,-36,-25) Matrix(1223,-1740,220,-313) -> Matrix(3,2,-2,-1) Matrix(4369,-6272,3042,-4367) -> Matrix(11,8,-18,-13) Matrix(3427,-4932,904,-1301) -> Matrix(3,2,10,7) Matrix(653,-942,296,-427) -> Matrix(23,14,-28,-17) Matrix(899,-1304,202,-293) -> Matrix(27,14,-56,-29) Matrix(709,-1038,278,-407) -> Matrix(1,0,0,1) Matrix(239,-370,104,-161) -> Matrix(7,-2,-10,3) Matrix(8521,-13290,2346,-3659) -> Matrix(3,-2,-16,11) Matrix(859,-1344,356,-557) -> Matrix(1,2,-2,-3) Matrix(1121,-1768,324,-511) -> Matrix(3,-4,-8,11) Matrix(1885,-2978,1002,-1583) -> Matrix(1,0,-2,1) Matrix(11395,-18018,3312,-5237) -> Matrix(1,0,-4,1) Matrix(1995,-3172,778,-1237) -> Matrix(1,-8,-2,17) Matrix(145,-234,44,-71) -> Matrix(1,-2,-2,5) Matrix(5429,-8860,3046,-4971) -> Matrix(1,6,-2,-11) Matrix(1039,-1698,216,-353) -> Matrix(5,14,-14,-39) Matrix(1123,-1840,130,-213) -> Matrix(1,2,2,5) Matrix(1325,-2172,158,-259) -> Matrix(1,2,-6,-11) Matrix(1177,-1940,344,-567) -> Matrix(3,8,-8,-21) Matrix(169,-288,98,-167) -> Matrix(9,10,-10,-11) Matrix(48349,-83740,14048,-24331) -> Matrix(19,16,-44,-37) Matrix(32741,-56710,9514,-16479) -> Matrix(5,4,-4,-3) Matrix(9847,-17058,2656,-4601) -> Matrix(5,4,-34,-27) Matrix(1127,-1990,508,-897) -> Matrix(1,2,-2,-3) Matrix(2195,-3886,466,-825) -> Matrix(5,4,-14,-11) Matrix(2981,-5304,820,-1459) -> Matrix(3,2,-2,-1) Matrix(9237,-16450,2542,-4527) -> Matrix(3,2,-38,-25) Matrix(7759,-13824,1626,-2897) -> Matrix(7,4,-16,-9) Matrix(1365,-2434,724,-1291) -> Matrix(3,2,-8,-5) Matrix(567,-1028,230,-417) -> Matrix(15,8,-32,-17) Matrix(6385,-11626,2506,-4563) -> Matrix(5,2,-8,-3) Matrix(1601,-2958,374,-691) -> Matrix(5,2,-8,-3) Matrix(4559,-8438,1066,-1973) -> Matrix(13,6,-24,-11) Matrix(451,-840,80,-149) -> Matrix(1,0,2,1) Matrix(313,-676,144,-311) -> Matrix(19,20,-20,-21) Matrix(2401,-5350,942,-2099) -> Matrix(5,4,-14,-11) Matrix(3219,-7270,886,-2001) -> Matrix(3,2,-20,-13) Matrix(5731,-12964,2400,-5429) -> Matrix(13,8,-18,-11) Matrix(883,-2004,256,-581) -> Matrix(5,4,-14,-11) Matrix(3829,-8712,1682,-3827) -> Matrix(1,2,-2,-3) Matrix(2439,-5618,1058,-2437) -> Matrix(167,112,-252,-169) Matrix(1361,-3200,578,-1359) -> Matrix(7,4,-16,-9) Matrix(8465,-20036,3126,-7399) -> Matrix(15,8,-2,-1) Matrix(627,-1502,134,-321) -> Matrix(7,4,-16,-9) Matrix(4079,-9828,1126,-2713) -> Matrix(3,2,-14,-9) Matrix(6373,-15364,1760,-4243) -> Matrix(3,2,-20,-13) Matrix(595,-1458,242,-593) -> Matrix(39,20,-80,-41) Matrix(467,-1204,64,-165) -> Matrix(5,2,-18,-7) Matrix(2737,-7066,796,-2055) -> Matrix(1,0,0,1) Matrix(2311,-6050,882,-2309) -> Matrix(1,0,16,1) Matrix(679,-1830,82,-221) -> Matrix(1,0,-4,1) Matrix(1703,-4604,462,-1249) -> Matrix(1,0,-6,1) Matrix(9103,-24642,3362,-9101) -> Matrix(1,-12,0,1) Matrix(1041,-2836,214,-583) -> Matrix(7,8,-22,-25) Matrix(3787,-10348,886,-2421) -> Matrix(5,2,-8,-3) Matrix(141,-392,50,-139) -> Matrix(1,2,-2,-3) Matrix(719,-2094,194,-565) -> Matrix(3,2,-20,-13) Matrix(523,-1682,162,-521) -> Matrix(71,36,-144,-73) Matrix(1145,-3872,338,-1143) -> Matrix(3,2,-8,-5) Matrix(1067,-3644,224,-765) -> Matrix(19,8,-50,-21) Matrix(1417,-5042,292,-1039) -> Matrix(59,20,-180,-61) Matrix(1733,-6172,358,-1275) -> Matrix(85,28,-252,-83) Matrix(241,-900,64,-239) -> Matrix(1,0,12,1) Matrix(435,-1922,98,-433) -> Matrix(55,28,-112,-57) Matrix(1881,-8836,400,-1879) -> Matrix(39,16,-100,-41) Matrix(97,-512,18,-95) -> Matrix(1,0,6,1) Matrix(331,-2178,50,-329) -> Matrix(39,20,-80,-41) 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): 90 Degree of the the map X: 90 Degree of the the map Y: 360 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.