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): 2520 Minimal number of generators: 421 Number of equivalence classes of cusps: 84 Genus: 169 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 0/1 4/25 5/24 6/23 7/22 8/21 9/20 1/2 11/18 12/17 13/16 1/1 8/7 16/13 17/12 3/2 89/56 179/111 18/11 55/32 37/21 19/10 2/1 20/9 41/17 5/2 146/57 209/81 13/5 21/8 213/77 43/15 3/1 22/7 16/5 177/55 89/27 10/3 45/13 7/2 68/19 91/25 11/3 160/43 19/5 23/6 4/1 117/28 17/4 47/11 13/3 118/27 22/5 9/2 23/5 14/3 19/4 24/5 5/1 73/14 21/4 16/3 49/9 11/2 17/3 23/4 6/1 25/4 19/3 13/2 20/3 7/1 51/7 22/3 15/2 23/3 8/1 17/2 26/3 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 -1/1 1/1 -1/2 0/1 1/0 -8/17 1/4 -7/15 0/1 1/1 -13/28 1/2 2/3 -19/41 3/4 1/1 -6/13 1/0 -17/37 0/1 1/1 -28/61 1/2 -11/24 0/1 1/0 -5/11 -1/3 0/1 -14/31 1/6 -9/20 0/1 1/4 -13/29 0/1 1/1 -17/38 0/1 1/2 -4/9 1/2 -15/34 3/2 2/1 -11/25 -1/1 1/0 -29/66 0/1 1/0 -18/41 1/0 -25/57 -3/1 1/0 -7/16 0/1 1/0 -17/39 3/1 1/0 -10/23 -1/2 -13/30 -1/2 0/1 -16/37 -1/4 -19/44 -1/12 0/1 -3/7 0/1 1/3 -14/33 1/2 -11/26 1/2 2/3 -30/71 1/0 -19/45 1/2 3/5 -27/64 1/2 2/3 -8/19 3/4 -13/31 1/1 5/4 -31/74 3/2 8/5 -18/43 3/2 -5/12 2/1 1/0 -22/53 -1/2 -17/41 -1/1 1/0 -12/29 1/0 -19/46 0/1 1/0 -45/109 -1/1 0/1 -26/63 1/0 -7/17 -1/1 0/1 -23/56 -2/1 1/0 -16/39 -1/2 -9/22 -1/4 0/1 -11/27 0/1 1/7 -2/5 1/2 -13/33 1/1 2/1 -24/61 3/2 -11/28 2/1 1/0 -9/23 -3/1 1/0 -25/64 -1/2 0/1 -16/41 1/0 -23/59 1/1 1/0 -7/18 0/1 1/0 -19/49 -1/1 0/1 -31/80 0/1 1/2 -12/31 1/0 -5/13 -1/1 0/1 -13/34 0/1 1/6 -34/89 1/4 -21/55 1/4 1/3 -8/21 1/2 -19/50 0/1 1/2 -11/29 1/3 1/2 -14/37 1/0 -3/8 0/1 1/2 -13/35 3/4 7/9 -23/62 4/5 5/6 -10/27 7/8 -7/19 1/1 5/4 -11/30 2/1 5/2 -15/41 3/1 1/0 -4/11 1/0 -13/36 0/1 1/4 -9/25 1/1 2/1 -23/64 0/1 1/0 -14/39 1/0 -19/53 1/2 1/1 -5/14 0/1 1/0 -11/31 0/1 1/3 -6/17 1/2 -7/20 0/1 1/0 -8/23 1/2 -1/3 1/1 1/0 -7/22 0/1 1/0 -6/19 1/0 -11/35 1/2 1/1 -16/51 1/2 -21/67 1/3 1/2 -5/16 1/2 2/3 -9/29 8/9 1/1 -4/13 5/4 -15/49 3/2 11/7 -11/36 3/2 2/1 -18/59 7/4 -7/23 5/3 2/1 -10/33 1/0 -3/10 2/1 1/0 -14/47 3/2 -11/37 3/1 1/0 -8/27 1/0 -5/17 3/1 1/0 -7/24 -2/1 1/0 -16/55 1/0 -9/31 -1/1 1/0 -2/7 1/0 -9/32 -1/4 0/1 -7/25 1/3 1/2 -12/43 1/4 -5/18 1/2 2/3 -18/65 3/4 -49/177 5/7 3/4 -80/289 3/4 -31/112 2/3 3/4 -13/47 3/4 7/9 -34/123 11/14 -21/76 4/5 5/6 -8/29 7/8 -3/11 1/1 4/3 -7/26 11/6 2/1 -18/67 13/6 -11/41 2/1 3/1 -4/15 1/0 -17/64 2/1 1/0 -13/49 3/1 1/0 -9/34 2/1 5/2 -5/19 1/1 1/0 -6/23 1/0 -7/27 2/1 3/1 -1/4 0/1 1/0 -5/21 4/5 1/1 -4/17 5/4 -11/47 13/9 3/2 -18/77 3/2 -7/30 3/2 2/1 -10/43 3/2 -13/56 3/2 8/5 -16/69 3/2 -3/13 5/3 2/1 -14/61 9/4 -11/48 2/1 5/2 -19/83 13/5 8/3 -8/35 7/2 -5/22 2/1 1/0 -12/53 1/0 -7/31 1/1 1/0 -16/71 1/0 -9/40 2/1 1/0 -2/9 1/0 -9/41 5/1 1/0 -7/32 4/1 1/0 -19/87 5/1 6/1 -50/229 1/0 -31/142 6/1 1/0 -12/55 1/0 -5/23 9/1 1/0 -3/14 -4/1 1/0 -13/61 -3/1 -2/1 -10/47 1/0 -7/33 -3/2 -1/1 -11/52 0/1 1/0 -4/19 1/0 -5/24 0/1 1/0 -1/5 0/1 1/1 -6/31 7/6 -5/26 4/3 3/2 -9/47 1/1 2/1 -4/21 3/2 -3/16 3/2 2/1 -8/43 1/0 -13/70 2/1 9/4 -5/27 3/1 1/0 -2/11 1/0 -7/39 11/4 3/1 -5/28 4/1 1/0 -8/45 7/2 -3/17 3/1 1/0 -7/40 4/1 9/2 -4/23 1/0 -1/6 -2/1 1/0 -4/25 1/0 -7/44 0/1 1/0 -3/19 -1/1 0/1 -2/13 1/0 -3/20 0/1 1/2 -1/7 1/1 2/1 -2/15 1/0 -5/38 2/1 9/4 -3/23 8/3 3/1 -1/8 6/1 1/0 -3/25 -15/1 1/0 -2/17 1/0 -1/9 -1/1 0/1 -1/10 0/1 1/0 0/1 1/0 1/9 -2/1 -1/1 2/17 -1/2 1/8 0/1 1/0 3/23 -3/1 1/0 2/15 -1/2 3/22 0/1 1/0 1/7 0/1 1/1 2/13 1/0 5/32 8/1 1/0 3/19 15/1 1/0 4/25 1/0 5/31 -27/1 1/0 1/6 -6/1 1/0 3/17 -3/1 -8/3 5/28 -9/4 -2/1 7/39 -1/1 1/0 2/11 1/0 5/27 -1/1 1/0 3/16 -2/1 -3/2 1/5 -2/1 -1/1 5/24 -1/1 4/19 -3/4 7/33 -3/5 -1/2 3/14 -1/2 0/1 2/9 1/0 7/31 0/1 1/1 12/53 1/0 5/22 0/1 1/0 3/13 0/1 1/1 4/17 1/0 1/4 2/1 1/0 6/23 1/0 5/19 -15/1 1/0 14/53 -21/2 9/34 -10/1 1/0 4/15 1/0 3/11 -3/1 1/0 11/40 -4/1 1/0 8/29 -7/2 13/47 -3/1 1/0 18/65 1/0 5/18 -4/1 1/0 17/61 -10/3 -3/1 12/43 -19/6 19/68 -3/1 7/25 -3/1 -11/4 2/7 1/0 9/31 -1/1 1/0 7/24 -2/1 1/0 12/41 1/0 5/17 -3/1 1/0 3/10 -2/1 -3/2 7/23 -3/1 -2/1 11/36 -2/1 1/0 4/13 -3/2 5/16 -3/2 -4/3 11/35 -5/4 -1/1 6/19 -7/6 7/22 -1/1 8/25 -7/8 1/3 -1/1 0/1 6/17 1/0 5/14 0/1 1/0 14/39 3/4 9/25 1/1 3/2 4/11 1/0 11/30 0/1 1/0 18/49 1/2 7/19 1/1 3/2 17/46 4/1 1/0 10/27 1/0 3/8 4/1 1/0 8/21 1/0 13/34 -22/1 1/0 5/13 -9/1 1/0 22/57 -15/2 17/44 -6/1 1/0 12/31 1/0 7/18 -4/1 1/0 2/5 1/0 9/22 -2/1 1/0 7/17 -1/1 1/0 5/12 -2/1 1/0 8/19 -7/2 19/45 -8/3 -13/5 30/71 -5/2 11/26 -5/2 -2/1 3/7 -2/1 -5/3 10/23 -3/2 27/62 -2/1 -3/2 44/101 -3/2 17/39 -3/2 -1/1 24/55 1/0 7/16 -2/1 -3/2 4/9 -5/4 9/20 -1/1 14/31 -13/14 5/11 -1/1 -4/5 6/13 -1/2 1/2 0/1 1/0 9/17 -9/1 1/0 8/15 1/0 7/13 -3/1 -2/1 20/37 1/0 33/61 3/1 1/0 13/24 -4/1 1/0 6/11 1/0 5/9 -1/1 1/0 14/25 1/0 9/16 -5/2 -2/1 22/39 1/0 13/23 -3/1 1/0 4/7 1/0 15/26 -5/2 -2/1 26/45 -5/2 37/64 -5/2 -2/1 11/19 -3/1 -2/1 29/50 -5/2 -2/1 47/81 -7/3 -9/4 18/31 -13/6 43/74 -21/10 -2/1 68/117 -21/10 25/43 -35/17 -2/1 32/55 -2/1 7/12 -2/1 -11/6 17/29 -5/3 -13/8 27/46 -20/13 -3/2 10/17 -3/2 13/22 -2/1 -7/4 16/27 -3/2 3/5 -4/3 -1/1 11/18 -1/1 19/31 -1/1 -18/19 8/13 -7/8 37/60 -6/7 -5/6 29/47 -11/13 -5/6 21/34 -5/6 -4/5 13/21 -7/9 -3/4 5/8 -2/3 -1/2 32/51 -5/8 27/43 -3/5 -1/2 22/35 -1/2 39/62 -18/35 -1/2 56/89 -1/2 17/27 -1/2 -7/15 29/46 -1/2 -2/5 12/19 -1/4 19/30 -1/2 0/1 7/11 -1/2 -1/3 30/47 -1/4 23/36 -1/2 0/1 39/61 -1/5 0/1 16/25 -1/6 25/39 -1/15 0/1 9/14 0/1 1/4 20/31 1/0 11/17 0/1 1/1 35/54 0/1 1/0 24/37 1/0 13/20 -1/2 0/1 15/23 1/1 2/1 2/3 1/0 15/22 0/1 1/0 13/19 -1/1 1/0 11/16 0/1 1/0 9/13 1/1 1/0 34/49 1/0 25/36 0/1 1/2 16/23 1/0 23/33 1/1 3/2 30/43 1/0 7/10 2/1 1/0 12/17 1/0 17/24 -8/1 1/0 5/7 -3/1 1/0 28/39 -3/2 23/32 -2/1 1/0 41/57 1/1 1/0 18/25 1/0 31/43 -2/1 -1/1 13/18 -2/1 1/0 34/47 1/0 55/76 -4/1 1/0 21/29 -3/1 -2/1 8/11 1/0 35/48 -4/1 -7/2 27/37 -7/3 -2/1 19/26 -2/1 1/0 11/15 -3/1 1/0 3/4 -2/1 1/0 19/25 -3/1 1/0 16/21 -5/2 29/38 -2/1 1/0 13/17 -7/3 -2/1 36/47 -7/4 59/77 -2/1 -5/3 23/30 -2/1 -3/2 10/13 1/0 37/48 -2/1 1/0 27/35 -2/1 -1/1 17/22 -2/1 1/0 41/53 -5/2 -7/3 24/31 -5/2 7/9 -2/1 -5/3 32/41 -3/2 25/32 -2/1 1/0 18/23 -7/4 29/37 -2/1 -1/1 11/14 -2/1 -3/2 37/47 -5/3 -3/2 26/33 -3/2 15/19 -11/7 -3/2 4/5 -5/4 13/16 -1/1 22/27 -21/22 9/11 -1/1 -8/9 14/17 -3/4 33/40 -22/29 -3/4 19/23 -5/7 -2/3 5/6 -2/3 -1/2 6/7 1/0 7/8 0/1 1/0 1/1 -1/1 1/0 10/9 -1/2 9/8 -1/2 0/1 8/7 -1/2 15/13 -1/3 0/1 7/6 0/1 1/0 13/11 -3/5 -1/2 19/16 -1/2 0/1 25/21 -1/2 -1/3 6/5 -1/2 23/19 -1/3 0/1 17/14 -1/2 0/1 11/9 -1/3 0/1 16/13 0/1 21/17 0/1 1/3 5/4 0/1 1/0 29/23 -1/1 0/1 53/42 2/1 1/0 24/19 1/0 19/15 -1/1 -1/2 33/26 -1/6 0/1 47/37 1/3 1/2 14/11 1/0 65/51 -1/1 1/1 51/40 0/1 1/0 37/29 -1/1 0/1 60/47 1/2 23/18 0/1 1/0 55/43 3/1 1/0 87/68 2/1 1/0 32/25 1/0 9/7 -2/1 -1/1 31/24 -3/4 -2/3 22/17 -1/2 35/27 -1/1 0/1 13/10 -1/4 0/1 30/23 1/0 77/59 -2/1 -1/1 47/36 0/1 1/2 17/13 -1/1 0/1 38/29 1/4 59/45 1/2 1/1 21/16 0/1 1/0 25/19 -1/1 1/0 29/22 0/1 1/0 4/3 1/0 19/14 -2/1 1/0 53/39 -5/1 1/0 87/64 -2/1 1/0 34/25 1/0 49/36 -2/1 1/0 15/11 -3/1 1/0 41/30 -2/1 1/0 67/49 -3/1 -1/1 26/19 1/0 37/27 -3/1 -2/1 85/62 -2/1 1/0 48/35 1/0 11/8 -5/2 -2/1 29/21 -5/3 -8/5 76/55 -3/2 199/144 -3/2 -4/3 123/89 -4/3 -1/1 47/34 -2/1 1/0 65/47 -2/1 -5/3 83/60 -2/1 -3/2 18/13 -3/2 25/18 -3/2 -16/11 32/23 -3/2 71/51 -7/5 -4/3 39/28 -3/2 -4/3 7/5 -5/4 -1/1 17/12 -1/1 27/19 -1/1 -19/20 10/7 -7/8 43/30 -5/6 -4/5 33/23 -1/1 -5/6 56/39 -3/4 23/16 -5/6 -4/5 13/9 -7/9 -3/4 29/20 -3/4 -2/3 16/11 -7/10 19/13 -5/8 -3/5 22/15 -1/2 3/2 -1/2 0/1 20/13 -1/4 17/11 0/1 1/3 31/20 0/1 1/0 14/9 1/0 53/34 -1/1 39/25 -1/1 -4/5 25/16 -2/3 -1/2 61/39 -3/5 -4/7 97/62 -12/23 -1/2 36/23 -1/2 83/53 -1/3 0/1 47/30 -1/2 0/1 58/37 1/0 11/7 -1/2 -1/3 41/26 -1/2 0/1 71/45 -1/1 -1/3 30/19 -1/2 49/31 -1/1 -1/2 19/12 -1/2 0/1 46/29 -1/2 27/17 -1/2 -1/3 89/56 -1/3 62/39 -1/4 35/22 -1/2 0/1 43/27 -1/2 -1/3 8/5 -1/2 29/18 -2/7 -1/4 79/49 -1/4 -1/5 129/80 -1/4 0/1 179/111 -1/3 -1/5 229/142 -1/4 0/1 50/31 -1/4 21/13 -1/3 -1/4 55/34 -1/4 0/1 144/89 -1/4 233/144 -1/5 89/55 -1/5 0/1 34/21 -1/4 81/50 -1/4 -4/17 47/29 -1/5 -1/6 60/37 -1/4 13/8 -1/6 0/1 18/11 0/1 23/14 0/1 1/8 5/3 0/1 1/1 22/13 1/0 39/23 -1/1 0/1 17/10 0/1 1/0 63/37 -1/1 0/1 109/64 0/1 1/2 46/27 1/0 75/44 0/1 1/0 104/61 -1/2 29/17 1/1 1/0 12/7 1/0 55/32 -1/1 98/57 -5/6 43/25 -1/1 -2/3 117/68 -1/2 0/1 74/43 -1/2 31/18 -1/2 0/1 81/47 -1/3 -1/4 131/76 -1/8 0/1 50/29 1/0 69/40 -1/2 0/1 19/11 0/1 1/1 7/4 0/1 1/0 37/21 -1/1 1/1 67/38 0/1 1/0 30/17 1/0 23/13 -1/1 1/0 62/35 1/0 39/22 -1/2 0/1 94/53 -1/6 55/31 0/1 1/7 16/9 1/0 9/5 3/1 1/0 38/21 1/0 29/16 -6/1 1/0 20/11 -7/2 11/6 -2/1 1/0 13/7 -2/1 -1/1 28/15 -3/2 15/8 -4/3 -5/4 17/9 -9/8 -1/1 19/10 -1/1 2/1 -1/2 19/9 -1/3 0/1 17/8 0/1 1/0 15/7 -1/1 -1/2 13/6 -1/4 0/1 24/11 -1/4 11/5 -1/7 0/1 20/9 0/1 29/13 0/1 1/15 9/4 0/1 1/4 25/11 1/2 1/1 66/29 1/0 107/47 0/1 1/1 41/18 -1/2 0/1 57/25 1/3 1/2 16/7 1/2 55/24 1/2 2/3 94/41 3/4 39/17 5/6 1/1 101/44 1/1 62/27 9/8 85/37 9/7 4/3 23/10 2/1 1/0 30/13 1/0 37/16 0/1 1/0 7/3 0/1 1/1 40/17 1/0 73/31 -1/1 1/0 33/14 2/1 1/0 26/11 1/0 97/41 1/2 1/1 71/30 0/1 1/0 116/49 -1/2 161/68 0/1 1/0 45/19 0/1 1/1 19/8 0/1 1/0 50/21 1/0 131/55 1/1 1/0 212/89 1/0 81/34 0/1 1/0 112/47 1/2 143/60 1/1 31/13 1/1 1/0 12/5 1/0 41/17 -1/1 1/1 70/29 1/0 29/12 0/1 1/0 17/7 1/1 1/0 39/16 -1/2 0/1 100/41 -1/4 61/25 -1/11 0/1 22/9 1/2 27/11 1/1 4/3 5/2 -2/1 1/0 23/9 -3/1 1/0 64/25 -13/6 105/41 -39/19 -2/1 146/57 -2/1 41/16 -2/1 -15/8 100/39 -7/4 59/23 -7/4 -5/3 18/7 -3/2 49/19 -2/1 -5/3 129/50 -2/1 -3/2 209/81 -5/3 -1/1 289/112 -2/1 -3/2 80/31 -3/2 31/12 -8/5 -3/2 75/29 -7/5 -11/8 119/46 -3/2 -4/3 44/17 -3/2 57/22 -4/3 -5/4 13/5 -5/4 -1/1 21/8 -1/1 29/11 -1/1 -11/12 8/3 -3/4 35/13 -2/3 -11/17 27/10 -2/3 -1/2 19/7 -3/5 -1/2 30/11 1/0 71/26 -2/3 -1/2 112/41 -3/4 41/15 -1/1 -1/2 11/4 -2/3 -1/2 47/17 -1/1 -2/3 130/47 -1/2 213/77 -1/1 -3/5 83/30 -2/3 -1/2 36/13 -5/8 25/9 -7/13 -1/2 64/23 -1/2 39/14 -1/2 -10/21 14/5 -1/2 31/11 -1/3 -2/7 17/6 0/1 1/0 20/7 -1/2 43/15 -1/1 -1/3 66/23 -1/2 23/8 -1/2 0/1 3/1 -1/3 0/1 22/7 0/1 41/13 0/1 1/27 19/6 0/1 1/12 54/17 1/8 35/11 1/8 1/7 51/16 0/1 1/6 16/5 1/4 45/14 0/1 1/6 74/23 1/4 177/55 1/5 1/3 103/32 0/1 1/4 29/9 0/1 1/3 13/4 0/1 1/2 36/11 1/0 23/7 0/1 1/1 56/17 1/2 89/27 1/3 1/1 33/10 0/1 1/2 10/3 1/2 27/8 2/1 1/0 71/21 5/1 1/0 44/13 1/0 149/44 2/1 1/0 105/31 2/1 3/1 61/18 4/1 1/0 78/23 1/0 17/5 -3/1 1/0 41/12 -2/3 -1/2 65/19 -1/3 -1/4 89/26 -1/12 0/1 202/59 0/1 113/33 0/1 1/15 24/7 1/2 31/9 1/1 1/0 38/11 1/0 45/13 -1/1 1/1 7/2 0/1 1/0 39/11 -1/1 0/1 32/9 1/2 25/7 3/1 1/0 68/19 1/0 111/31 -15/1 1/0 43/12 -6/1 1/0 61/17 -4/1 -3/1 140/39 1/0 79/22 -4/1 1/0 18/5 1/0 65/18 -3/2 -4/3 47/13 -1/1 -3/4 76/21 -1/2 105/29 -1/1 1/0 29/8 0/1 1/0 69/19 0/1 1/1 40/11 1/0 91/25 -1/1 1/1 142/39 1/0 51/14 0/1 1/0 11/3 1/1 1/0 26/7 1/0 93/25 -1/1 1/0 160/43 1/0 67/18 -2/1 1/0 41/11 -2/1 -1/1 15/4 -2/1 -3/2 34/9 -3/2 87/23 -4/3 -1/1 227/60 -3/2 -4/3 367/97 -7/5 -1/1 140/37 -3/2 53/14 -3/2 -4/3 19/5 -5/4 -1/1 23/6 -1/1 27/7 -1/1 -7/8 4/1 -1/2 25/6 -1/2 0/1 71/17 -1/1 0/1 117/28 -1/1 46/11 -1/2 21/5 -1/1 -1/2 17/4 -1/2 0/1 47/11 -1/1 -1/3 77/18 -1/2 0/1 30/7 -1/2 13/3 -1/1 0/1 48/11 -1/2 83/19 -17/33 -1/2 118/27 -1/2 35/8 -1/2 -8/17 22/5 -1/2 53/12 -8/21 -3/8 31/7 -6/17 -1/3 9/2 -1/4 0/1 23/5 -1/3 0/1 83/18 -1/4 0/1 143/31 -1/3 -1/5 60/13 -1/4 37/8 -1/6 0/1 14/3 -1/6 47/10 -1/10 0/1 127/27 -1/7 0/1 207/44 -1/8 0/1 287/61 -1/7 -1/9 80/17 -1/8 33/7 -1/9 -1/10 19/4 -1/16 0/1 24/5 0/1 29/6 0/1 1/22 5/1 0/1 1/3 26/5 5/6 73/14 1/1 47/9 1/1 9/8 21/4 3/2 2/1 16/3 1/0 27/5 1/1 1/0 38/7 1/0 49/9 -1/1 1/1 11/2 0/1 1/0 50/9 1/0 89/16 -4/1 1/0 39/7 -1/1 1/0 67/12 -2/1 -3/2 28/5 -1/2 45/8 0/1 1/0 62/11 1/0 17/3 -1/1 0/1 23/4 0/1 1/0 6/1 1/0 25/4 -1/1 44/7 -7/8 19/3 -1/1 -3/4 51/8 -2/3 -5/8 32/5 -1/2 45/7 -1/1 -2/3 13/2 -2/3 -1/2 46/7 -1/2 33/5 -1/1 -2/3 20/3 -1/2 7/1 -1/1 0/1 29/4 -1/2 0/1 51/7 -1/1 -1/3 22/3 -1/2 15/2 -1/2 0/1 23/3 -3/8 -1/3 8/1 -1/4 17/2 -1/16 0/1 26/3 0/1 9/1 0/1 1/7 10/1 1/0 11/1 -1/1 1/0 1/0 0/1 1/0 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,2,-2,-3) (-1/1,1/0) -> (-1/1,-1/2) Parabolic Matrix(767,362,1320,623) (-1/2,-8/17) -> (18/31,43/74) Hyperbolic Matrix(1529,716,1198,561) (-8/17,-7/15) -> (37/29,60/47) Hyperbolic Matrix(1413,658,1952,909) (-7/15,-13/28) -> (55/76,21/29) Hyperbolic Matrix(5627,2610,2378,1103) (-13/28,-19/41) -> (97/41,71/30) Hyperbolic Matrix(2051,950,326,151) (-19/41,-6/13) -> (44/7,19/3) Hyperbolic Matrix(535,246,2364,1087) (-6/13,-17/37) -> (7/31,12/53) Hyperbolic Matrix(4931,2264,6436,2955) (-17/37,-28/61) -> (36/47,59/77) Hyperbolic Matrix(1073,492,1712,785) (-28/61,-11/24) -> (5/8,32/51) Hyperbolic Matrix(857,392,1174,537) (-11/24,-5/11) -> (27/37,19/26) Hyperbolic Matrix(951,430,1484,671) (-5/11,-14/31) -> (16/25,25/39) Hyperbolic Matrix(421,190,1376,621) (-14/31,-9/20) -> (11/36,4/13) Hyperbolic Matrix(525,236,634,285) (-9/20,-13/29) -> (19/23,5/6) Hyperbolic Matrix(317,142,-1998,-895) (-13/29,-17/38) -> (-7/44,-3/19) Hyperbolic Matrix(211,94,312,139) (-17/38,-4/9) -> (2/3,15/22) Hyperbolic Matrix(521,230,1452,641) (-4/9,-15/34) -> (5/14,14/39) Hyperbolic Matrix(931,410,-2382,-1049) (-15/34,-11/25) -> (-9/23,-25/64) Hyperbolic Matrix(2175,956,1654,727) (-11/25,-29/66) -> (21/16,25/19) Hyperbolic Matrix(3311,1454,1446,635) (-29/66,-18/41) -> (16/7,55/24) Hyperbolic Matrix(825,362,1552,681) (-18/41,-25/57) -> (9/17,8/15) Hyperbolic Matrix(105,46,824,361) (-25/57,-7/16) -> (1/8,3/23) Hyperbolic Matrix(1339,584,924,403) (-7/16,-17/39) -> (13/9,29/20) Hyperbolic Matrix(409,178,-1744,-759) (-17/39,-10/23) -> (-4/17,-11/47) Hyperbolic Matrix(1125,488,1948,845) (-10/23,-13/30) -> (15/26,26/45) Hyperbolic Matrix(1127,488,-2866,-1241) (-13/30,-16/37) -> (-24/61,-11/28) Hyperbolic Matrix(7047,3046,4088,1767) (-16/37,-19/44) -> (131/76,50/29) Hyperbolic Matrix(1937,836,614,265) (-19/44,-3/7) -> (41/13,19/6) Hyperbolic Matrix(1309,556,1010,429) (-3/7,-14/33) -> (22/17,35/27) Hyperbolic Matrix(401,170,1512,641) (-14/33,-11/26) -> (9/34,4/15) Hyperbolic Matrix(3313,1400,2312,977) (-11/26,-30/71) -> (10/7,43/30) Hyperbolic Matrix(303,128,2308,975) (-30/71,-19/45) -> (3/23,2/15) Hyperbolic Matrix(1507,636,2206,931) (-19/45,-27/64) -> (15/22,13/19) Hyperbolic Matrix(1105,466,-4816,-2031) (-27/64,-8/19) -> (-14/61,-11/48) Hyperbolic Matrix(799,336,302,127) (-8/19,-13/31) -> (29/11,8/3) Hyperbolic Matrix(5989,2510,3696,1549) (-13/31,-31/74) -> (81/50,47/29) Hyperbolic Matrix(1299,544,-5590,-2341) (-31/74,-18/43) -> (-10/43,-13/56) Hyperbolic Matrix(297,124,-994,-415) (-18/43,-5/12) -> (-3/10,-14/47) Hyperbolic Matrix(3073,1276,696,289) (-5/12,-22/53) -> (22/5,53/12) Hyperbolic Matrix(2083,864,-7534,-3125) (-22/53,-17/41) -> (-13/47,-34/123) Hyperbolic Matrix(695,288,-3072,-1273) (-17/41,-12/29) -> (-12/53,-7/31) Hyperbolic Matrix(2667,1102,1682,695) (-12/29,-19/46) -> (19/12,46/29) Hyperbolic Matrix(10967,4528,8000,3303) (-19/46,-45/109) -> (37/27,85/62) Hyperbolic Matrix(6323,2610,986,407) (-45/109,-26/63) -> (32/5,45/7) Hyperbolic Matrix(989,408,-4642,-1915) (-26/63,-7/17) -> (-13/61,-10/47) Hyperbolic Matrix(1183,486,-5416,-2225) (-7/17,-23/56) -> (-7/32,-19/87) Hyperbolic Matrix(3543,1454,982,403) (-23/56,-16/39) -> (18/5,65/18) Hyperbolic Matrix(293,120,-1570,-643) (-16/39,-9/22) -> (-3/16,-8/43) Hyperbolic Matrix(881,360,394,161) (-9/22,-11/27) -> (29/13,9/4) Hyperbolic Matrix(683,278,882,359) (-11/27,-2/5) -> (24/31,7/9) Hyperbolic Matrix(481,190,1724,681) (-2/5,-13/33) -> (17/61,12/43) Hyperbolic Matrix(8705,3426,3824,1505) (-13/33,-24/61) -> (66/29,107/47) Hyperbolic Matrix(1143,448,1814,711) (-11/28,-9/23) -> (17/27,29/46) Hyperbolic Matrix(3523,1376,2568,1003) (-25/64,-16/41) -> (48/35,11/8) Hyperbolic Matrix(2375,926,3424,1335) (-16/41,-23/59) -> (9/13,34/49) Hyperbolic Matrix(1237,482,-4658,-1815) (-23/59,-7/18) -> (-17/64,-13/49) Hyperbolic Matrix(665,258,2178,845) (-7/18,-19/49) -> (7/23,11/36) Hyperbolic Matrix(2461,954,3222,1249) (-19/49,-31/80) -> (29/38,13/17) Hyperbolic Matrix(191,74,1608,623) (-31/80,-12/31) -> (2/17,1/8) Hyperbolic Matrix(755,292,1042,403) (-12/31,-5/13) -> (21/29,8/11) Hyperbolic Matrix(469,180,284,109) (-5/13,-13/34) -> (23/14,5/3) Hyperbolic Matrix(6569,2510,2536,969) (-13/34,-34/89) -> (44/17,57/22) Hyperbolic Matrix(1503,574,-6664,-2545) (-34/89,-21/55) -> (-7/31,-16/71) Hyperbolic Matrix(561,214,-1780,-679) (-21/55,-8/21) -> (-6/19,-11/35) Hyperbolic Matrix(2899,1102,1218,463) (-8/21,-19/50) -> (19/8,50/21) Hyperbolic Matrix(653,248,2246,853) (-19/50,-11/29) -> (9/31,7/24) Hyperbolic Matrix(375,142,1772,671) (-11/29,-14/37) -> (4/19,7/33) Hyperbolic Matrix(931,352,1214,459) (-14/37,-3/8) -> (23/30,10/13) Hyperbolic Matrix(1571,584,460,171) (-3/8,-13/35) -> (17/5,41/12) Hyperbolic Matrix(3137,1164,4056,1505) (-13/35,-23/62) -> (17/22,41/53) Hyperbolic Matrix(3777,1400,1384,513) (-23/62,-10/27) -> (30/11,71/26) Hyperbolic Matrix(919,340,646,239) (-10/27,-7/19) -> (27/19,10/7) Hyperbolic Matrix(643,236,1098,403) (-7/19,-11/30) -> (7/12,17/29) Hyperbolic Matrix(273,100,1466,537) (-11/30,-15/41) -> (5/27,3/16) Hyperbolic Matrix(181,66,-820,-299) (-15/41,-4/11) -> (-2/9,-9/41) Hyperbolic Matrix(819,296,1270,459) (-4/11,-13/36) -> (9/14,20/31) Hyperbolic Matrix(1541,556,546,197) (-13/36,-9/25) -> (31/11,17/6) Hyperbolic Matrix(4529,1628,2896,1041) (-9/25,-23/64) -> (25/16,61/39) Hyperbolic Matrix(1993,716,270,97) (-23/64,-14/39) -> (22/3,15/2) Hyperbolic Matrix(3255,1168,1268,455) (-14/39,-19/53) -> (59/23,18/7) Hyperbolic Matrix(3075,1102,812,291) (-19/53,-5/14) -> (53/14,19/5) Hyperbolic Matrix(449,160,362,129) (-5/14,-11/31) -> (21/17,5/4) Hyperbolic Matrix(181,64,806,285) (-11/31,-6/17) -> (2/9,7/31) Hyperbolic Matrix(445,156,-1606,-563) (-6/17,-7/20) -> (-5/18,-18/65) Hyperbolic Matrix(2051,716,444,155) (-7/20,-8/23) -> (60/13,37/8) Hyperbolic Matrix(619,214,888,307) (-8/23,-1/3) -> (23/33,30/43) Hyperbolic Matrix(855,274,596,191) (-1/3,-7/22) -> (43/30,33/23) Hyperbolic Matrix(1275,404,2206,699) (-7/22,-6/19) -> (26/45,37/64) Hyperbolic Matrix(6509,2044,2538,797) (-11/35,-16/51) -> (100/39,59/23) Hyperbolic Matrix(7859,2464,-28390,-8901) (-16/51,-21/67) -> (-49/177,-80/289) Hyperbolic Matrix(6587,2064,1184,371) (-21/67,-5/16) -> (89/16,39/7) Hyperbolic Matrix(757,236,170,53) (-5/16,-9/29) -> (31/7,9/2) Hyperbolic Matrix(755,234,926,287) (-9/29,-4/13) -> (22/27,9/11) Hyperbolic Matrix(751,230,2844,871) (-4/13,-15/49) -> (5/19,14/53) Hyperbolic Matrix(2839,868,2090,639) (-15/49,-11/36) -> (19/14,53/39) Hyperbolic Matrix(249,76,1838,561) (-11/36,-18/59) -> (2/15,3/22) Hyperbolic Matrix(2669,814,4174,1273) (-18/59,-7/23) -> (39/61,16/25) Hyperbolic Matrix(915,278,418,127) (-7/23,-10/33) -> (24/11,11/5) Hyperbolic Matrix(1163,352,750,227) (-10/33,-3/10) -> (31/20,14/9) Hyperbolic Matrix(2727,812,2146,639) (-14/47,-11/37) -> (47/37,14/11) Hyperbolic Matrix(1321,392,246,73) (-11/37,-8/27) -> (16/3,27/5) Hyperbolic Matrix(987,292,578,171) (-8/27,-5/17) -> (29/17,12/7) Hyperbolic Matrix(409,120,576,169) (-5/17,-7/24) -> (17/24,5/7) Hyperbolic Matrix(735,214,656,191) (-7/24,-16/55) -> (10/9,9/8) Hyperbolic Matrix(3187,926,1800,523) (-16/55,-9/31) -> (23/13,62/35) Hyperbolic Matrix(407,118,1390,403) (-9/31,-2/7) -> (12/41,5/17) Hyperbolic Matrix(1051,296,806,227) (-2/7,-9/32) -> (13/10,30/23) Hyperbolic Matrix(1531,430,324,91) (-9/32,-7/25) -> (33/7,19/4) Hyperbolic Matrix(1933,540,562,157) (-7/25,-12/43) -> (24/7,31/9) Hyperbolic Matrix(1607,448,886,247) (-12/43,-5/18) -> (29/16,20/11) Hyperbolic Matrix(46039,12746,19328,5351) (-18/65,-49/177) -> (131/55,212/89) Hyperbolic Matrix(71781,19870,44510,12321) (-80/289,-31/112) -> (229/142,50/31) Hyperbolic Matrix(10025,2774,7376,2041) (-31/112,-13/47) -> (53/39,87/64) Hyperbolic Matrix(11941,3300,6734,1861) (-34/123,-21/76) -> (39/22,94/53) Hyperbolic Matrix(2165,598,5608,1549) (-21/76,-8/29) -> (22/57,17/44) Hyperbolic Matrix(639,176,1042,287) (-8/29,-3/11) -> (19/31,8/13) Hyperbolic Matrix(875,236,634,171) (-3/11,-7/26) -> (11/8,29/21) Hyperbolic Matrix(1347,362,160,43) (-7/26,-18/67) -> (8/1,17/2) Hyperbolic Matrix(2697,724,2060,553) (-18/67,-11/41) -> (17/13,38/29) Hyperbolic Matrix(1821,488,556,149) (-11/41,-4/15) -> (36/11,23/7) Hyperbolic Matrix(2925,778,1658,441) (-4/15,-17/64) -> (67/38,30/17) Hyperbolic Matrix(1343,356,630,167) (-13/49,-9/34) -> (17/8,15/7) Hyperbolic Matrix(235,62,-1338,-353) (-9/34,-5/19) -> (-3/17,-7/40) Hyperbolic Matrix(1495,392,942,247) (-5/19,-6/23) -> (46/29,27/17) Hyperbolic Matrix(315,82,-1648,-429) (-6/23,-7/27) -> (-9/47,-4/21) Hyperbolic Matrix(1405,362,392,101) (-7/27,-1/4) -> (43/12,61/17) Hyperbolic Matrix(687,164,532,127) (-1/4,-5/21) -> (9/7,31/24) Hyperbolic Matrix(379,90,838,199) (-5/21,-4/17) -> (14/31,5/11) Hyperbolic Matrix(3481,814,6436,1505) (-11/47,-18/77) -> (20/37,33/61) Hyperbolic Matrix(7719,1804,5678,1327) (-18/77,-7/30) -> (87/64,34/25) Hyperbolic Matrix(755,176,2724,635) (-7/30,-10/43) -> (18/65,5/18) Hyperbolic Matrix(13291,3084,3702,859) (-13/56,-16/69) -> (140/39,79/22) Hyperbolic Matrix(1961,454,-8980,-2079) (-16/69,-3/13) -> (-19/87,-50/229) Hyperbolic Matrix(2409,554,4144,953) (-3/13,-14/61) -> (68/117,25/43) Hyperbolic Matrix(5791,1326,4590,1051) (-11/48,-19/83) -> (29/23,53/42) Hyperbolic Matrix(8121,1858,3536,809) (-19/83,-8/35) -> (62/27,85/37) Hyperbolic Matrix(1279,292,2028,463) (-8/35,-5/22) -> (29/46,12/19) Hyperbolic Matrix(3077,698,1274,289) (-5/22,-12/53) -> (70/29,29/12) Hyperbolic Matrix(3445,776,5314,1197) (-16/71,-9/40) -> (35/54,24/37) Hyperbolic Matrix(525,118,2318,521) (-9/40,-2/9) -> (12/53,5/22) Hyperbolic Matrix(1635,358,2078,455) (-9/41,-7/32) -> (11/14,37/47) Hyperbolic Matrix(77541,16930,30050,6561) (-50/229,-31/142) -> (289/112,80/31) Hyperbolic Matrix(21737,4744,15730,3433) (-31/142,-12/55) -> (76/55,199/144) Hyperbolic Matrix(2669,582,3710,809) (-12/55,-5/23) -> (41/57,18/25) Hyperbolic Matrix(369,80,964,209) (-5/23,-3/14) -> (13/34,5/13) Hyperbolic Matrix(7739,1650,4498,959) (-3/14,-13/61) -> (43/25,117/68) Hyperbolic Matrix(1619,344,1106,235) (-10/47,-7/33) -> (19/13,22/15) Hyperbolic Matrix(1691,358,222,47) (-7/33,-11/52) -> (15/2,23/3) Hyperbolic Matrix(1693,358,2426,513) (-11/52,-4/19) -> (30/43,7/10) Hyperbolic Matrix(1101,230,292,61) (-4/19,-5/24) -> (15/4,34/9) Hyperbolic Matrix(733,152,950,197) (-5/24,-1/5) -> (27/35,17/22) Hyperbolic Matrix(71,14,218,43) (-1/5,-6/31) -> (8/25,1/3) Hyperbolic Matrix(2805,542,502,97) (-6/31,-5/26) -> (67/12,28/5) Hyperbolic Matrix(5597,1074,1652,317) (-5/26,-9/47) -> (105/31,61/18) Hyperbolic Matrix(1001,190,216,41) (-4/21,-3/16) -> (37/8,14/3) Hyperbolic Matrix(8763,1628,3418,635) (-8/43,-13/70) -> (41/16,100/39) Hyperbolic Matrix(2707,502,426,79) (-13/70,-5/27) -> (19/3,51/8) Hyperbolic Matrix(1349,248,854,157) (-5/27,-2/11) -> (30/19,49/31) Hyperbolic Matrix(565,102,72,13) (-2/11,-7/39) -> (23/3,8/1) Hyperbolic Matrix(1061,190,564,101) (-7/39,-5/28) -> (15/8,17/9) Hyperbolic Matrix(987,176,2260,403) (-5/28,-8/45) -> (24/55,7/16) Hyperbolic Matrix(1127,200,1482,263) (-8/45,-3/17) -> (19/25,16/21) Hyperbolic Matrix(1125,196,1544,269) (-7/40,-4/23) -> (8/11,35/48) Hyperbolic Matrix(981,170,352,61) (-4/23,-1/6) -> (39/14,14/5) Hyperbolic Matrix(207,34,140,23) (-1/6,-4/25) -> (22/15,3/2) Hyperbolic Matrix(3245,518,758,121) (-4/25,-7/44) -> (77/18,30/7) Hyperbolic Matrix(413,64,342,53) (-3/19,-2/13) -> (6/5,23/19) Hyperbolic Matrix(889,134,272,41) (-2/13,-3/20) -> (13/4,36/11) Hyperbolic Matrix(955,142,612,91) (-3/20,-1/7) -> (39/25,25/16) Hyperbolic Matrix(737,100,538,73) (-1/7,-2/15) -> (26/19,37/27) Hyperbolic Matrix(2337,308,736,97) (-2/15,-5/38) -> (19/6,54/17) Hyperbolic Matrix(4007,526,3070,403) (-5/38,-3/23) -> (77/59,47/36) Hyperbolic Matrix(1467,190,332,43) (-3/23,-1/8) -> (53/12,31/7) Hyperbolic Matrix(65,8,398,49) (-1/8,-3/25) -> (5/31,1/6) Hyperbolic Matrix(2239,268,660,79) (-3/25,-2/17) -> (78/23,17/5) Hyperbolic Matrix(1177,134,852,97) (-2/17,-1/9) -> (29/21,76/55) Hyperbolic Matrix(453,46,128,13) (-1/9,-1/10) -> (7/2,39/11) Hyperbolic Matrix(771,74,448,43) (-1/10,0/1) -> (74/43,31/18) Hyperbolic Matrix(367,-40,156,-17) (0/1,1/9) -> (7/3,40/17) Hyperbolic Matrix(1613,-184,938,-107) (1/9,2/17) -> (98/57,43/25) Hyperbolic Matrix(357,-50,50,-7) (3/22,1/7) -> (7/1,29/4) Hyperbolic Matrix(151,-22,254,-37) (1/7,2/13) -> (16/27,3/5) Hyperbolic Matrix(1457,-226,1154,-179) (2/13,5/32) -> (53/42,24/19) Hyperbolic Matrix(1303,-204,2408,-377) (5/32,3/19) -> (33/61,13/24) Hyperbolic Matrix(201,-32,1250,-199) (3/19,4/25) -> (4/25,5/31) Parabolic Matrix(247,-42,100,-17) (1/6,3/17) -> (27/11,5/2) Hyperbolic Matrix(641,-114,984,-175) (3/17,5/28) -> (13/20,15/23) Hyperbolic Matrix(7377,-1322,4280,-767) (5/28,7/39) -> (81/47,131/76) Hyperbolic Matrix(3391,-612,1424,-257) (7/39,2/11) -> (50/21,131/55) Hyperbolic Matrix(1323,-244,244,-45) (2/11,5/27) -> (27/5,38/7) Hyperbolic Matrix(731,-138,196,-37) (3/16,1/5) -> (41/11,15/4) Hyperbolic Matrix(1201,-248,770,-159) (1/5,5/24) -> (53/34,39/25) Hyperbolic Matrix(1343,-282,862,-181) (5/24,4/19) -> (14/9,53/34) Hyperbolic Matrix(1529,-326,1196,-255) (7/33,3/14) -> (23/18,55/43) Hyperbolic Matrix(191,-42,332,-73) (3/14,2/9) -> (4/7,15/26) Hyperbolic Matrix(851,-194,1180,-269) (5/22,3/13) -> (31/43,13/18) Hyperbolic Matrix(611,-142,142,-33) (3/13,4/17) -> (30/7,13/3) Hyperbolic Matrix(329,-78,890,-211) (4/17,1/4) -> (17/46,10/27) Hyperbolic Matrix(1153,-298,414,-107) (1/4,6/23) -> (64/23,39/14) Hyperbolic Matrix(1791,-470,644,-169) (6/23,5/19) -> (25/9,64/23) Hyperbolic Matrix(7707,-2038,3256,-861) (14/53,9/34) -> (71/30,116/49) Hyperbolic Matrix(229,-62,410,-111) (4/15,3/11) -> (5/9,14/25) Hyperbolic Matrix(1001,-274,274,-75) (3/11,11/40) -> (51/14,11/3) Hyperbolic Matrix(4001,-1102,2320,-639) (11/40,8/29) -> (50/29,69/40) Hyperbolic Matrix(3589,-992,2500,-691) (8/29,13/47) -> (33/23,56/39) Hyperbolic Matrix(7267,-2012,1954,-541) (13/47,18/65) -> (26/7,93/25) Hyperbolic Matrix(5081,-1414,3676,-1023) (5/18,17/61) -> (123/89,47/34) Hyperbolic Matrix(953,-266,498,-139) (12/43,19/68) -> (19/10,2/1) Hyperbolic Matrix(1631,-456,862,-241) (19/68,7/25) -> (17/9,19/10) Hyperbolic Matrix(499,-140,1358,-381) (7/25,2/7) -> (18/49,7/19) Hyperbolic Matrix(1395,-404,404,-117) (2/7,9/31) -> (31/9,38/11) Hyperbolic Matrix(1121,-328,270,-79) (7/24,12/41) -> (4/1,25/6) Hyperbolic Matrix(403,-120,178,-53) (5/17,3/10) -> (9/4,25/11) Hyperbolic Matrix(311,-94,268,-81) (3/10,7/23) -> (15/13,7/6) Hyperbolic Matrix(265,-82,488,-151) (4/13,5/16) -> (13/24,6/11) Hyperbolic Matrix(1679,-526,1280,-401) (5/16,11/35) -> (59/45,21/16) Hyperbolic Matrix(1633,-514,2602,-819) (11/35,6/19) -> (32/51,27/43) Hyperbolic Matrix(309,-98,968,-307) (6/19,7/22) -> (7/22,8/25) Parabolic Matrix(729,-256,430,-151) (1/3,6/17) -> (22/13,39/23) Hyperbolic Matrix(557,-198,256,-91) (6/17,5/14) -> (13/6,24/11) Hyperbolic Matrix(1153,-414,298,-107) (14/39,9/25) -> (27/7,4/1) Hyperbolic Matrix(809,-292,640,-231) (9/25,4/11) -> (24/19,19/15) Hyperbolic Matrix(339,-124,298,-109) (4/11,11/30) -> (9/8,8/7) Hyperbolic Matrix(2927,-1074,2292,-841) (11/30,18/49) -> (60/47,23/18) Hyperbolic Matrix(3769,-1392,1102,-407) (7/19,17/46) -> (41/12,65/19) Hyperbolic Matrix(1099,-408,466,-173) (10/27,3/8) -> (33/14,26/11) Hyperbolic Matrix(337,-128,882,-335) (3/8,8/21) -> (8/21,13/34) Parabolic Matrix(1381,-532,880,-339) (5/13,22/57) -> (58/37,11/7) Hyperbolic Matrix(4349,-1682,2552,-987) (17/44,12/31) -> (46/27,75/44) Hyperbolic Matrix(1253,-486,544,-211) (12/31,7/18) -> (23/10,30/13) Hyperbolic Matrix(167,-66,124,-49) (7/18,2/5) -> (4/3,19/14) Hyperbolic Matrix(247,-100,42,-17) (2/5,9/22) -> (23/4,6/1) Hyperbolic Matrix(1397,-574,864,-355) (9/22,7/17) -> (21/13,55/34) Hyperbolic Matrix(697,-288,288,-119) (7/17,5/12) -> (29/12,17/7) Hyperbolic Matrix(449,-188,246,-103) (5/12,8/19) -> (20/11,11/6) Hyperbolic Matrix(1265,-534,244,-103) (8/19,19/45) -> (5/1,26/5) Hyperbolic Matrix(7707,-3256,2038,-861) (19/45,30/71) -> (34/9,87/23) Hyperbolic Matrix(6359,-2688,1876,-793) (30/71,11/26) -> (61/18,78/23) Hyperbolic Matrix(1099,-466,408,-173) (11/26,3/7) -> (35/13,27/10) Hyperbolic Matrix(1253,-544,486,-211) (3/7,10/23) -> (18/7,49/19) Hyperbolic Matrix(4931,-2146,3596,-1565) (10/23,27/62) -> (85/62,48/35) Hyperbolic Matrix(16687,-7268,4484,-1953) (27/62,44/101) -> (160/43,67/18) Hyperbolic Matrix(15633,-6812,4202,-1831) (44/101,17/39) -> (93/25,160/43) Hyperbolic Matrix(6623,-2888,2424,-1057) (17/39,24/55) -> (112/41,41/15) Hyperbolic Matrix(403,-178,120,-53) (7/16,4/9) -> (10/3,27/8) Hyperbolic Matrix(361,-162,800,-359) (4/9,9/20) -> (9/20,14/31) Parabolic Matrix(557,-256,198,-91) (5/11,6/13) -> (14/5,31/11) Hyperbolic Matrix(357,-166,514,-239) (6/13,1/2) -> (25/36,16/23) Hyperbolic Matrix(953,-498,266,-139) (1/2,9/17) -> (111/31,43/12) Hyperbolic Matrix(755,-404,114,-61) (8/15,7/13) -> (33/5,20/3) Hyperbolic Matrix(3539,-1912,2260,-1221) (7/13,20/37) -> (36/23,83/53) Hyperbolic Matrix(449,-246,188,-103) (6/11,5/9) -> (31/13,12/5) Hyperbolic Matrix(781,-438,148,-83) (14/25,9/16) -> (21/4,16/3) Hyperbolic Matrix(891,-502,1372,-773) (9/16,22/39) -> (24/37,13/20) Hyperbolic Matrix(2151,-1214,2780,-1569) (22/39,13/23) -> (41/53,24/31) Hyperbolic Matrix(851,-482,482,-273) (13/23,4/7) -> (30/17,23/13) Hyperbolic Matrix(3049,-1764,662,-383) (37/64,11/19) -> (23/5,83/18) Hyperbolic Matrix(4001,-2320,1102,-639) (11/19,29/50) -> (29/8,69/19) Hyperbolic Matrix(7377,-4280,1322,-767) (29/50,47/81) -> (39/7,67/12) Hyperbolic Matrix(9323,-5410,5468,-3173) (47/81,18/31) -> (104/61,29/17) Hyperbolic Matrix(25165,-14624,10564,-6139) (43/74,68/117) -> (212/89,81/34) Hyperbolic Matrix(1613,-938,184,-107) (25/43,32/55) -> (26/3,9/1) Hyperbolic Matrix(1247,-726,146,-85) (32/55,7/12) -> (17/2,26/3) Hyperbolic Matrix(4349,-2552,1682,-987) (17/29,27/46) -> (31/12,75/29) Hyperbolic Matrix(1205,-708,1462,-859) (27/46,10/17) -> (14/17,33/40) Hyperbolic Matrix(729,-430,256,-151) (10/17,13/22) -> (17/6,20/7) Hyperbolic Matrix(1021,-604,546,-323) (13/22,16/27) -> (28/15,15/8) Hyperbolic Matrix(397,-242,648,-395) (3/5,11/18) -> (11/18,19/31) Parabolic Matrix(7643,-4712,2798,-1725) (8/13,37/60) -> (71/26,112/41) Hyperbolic Matrix(7389,-4558,5776,-3563) (37/60,29/47) -> (55/43,87/68) Hyperbolic Matrix(2475,-1528,3442,-2125) (29/47,21/34) -> (23/32,41/57) Hyperbolic Matrix(1397,-864,574,-355) (21/34,13/21) -> (17/7,39/16) Hyperbolic Matrix(251,-156,214,-133) (13/21,5/8) -> (7/6,13/11) Hyperbolic Matrix(4275,-2686,1816,-1141) (27/43,22/35) -> (40/17,73/31) Hyperbolic Matrix(5627,-3538,3596,-2261) (22/35,39/62) -> (97/62,36/23) Hyperbolic Matrix(10431,-6562,2386,-1501) (39/62,56/89) -> (118/27,35/8) Hyperbolic Matrix(10573,-6654,2420,-1523) (56/89,17/27) -> (83/19,118/27) Hyperbolic Matrix(1031,-652,710,-449) (12/19,19/30) -> (29/20,16/11) Hyperbolic Matrix(781,-496,496,-315) (19/30,7/11) -> (11/7,41/26) Hyperbolic Matrix(5771,-3682,1594,-1017) (7/11,30/47) -> (76/21,105/29) Hyperbolic Matrix(4779,-3052,1486,-949) (30/47,23/36) -> (45/14,74/23) Hyperbolic Matrix(8917,-5700,5236,-3347) (23/36,39/61) -> (63/37,109/64) Hyperbolic Matrix(1201,-770,248,-159) (25/39,9/14) -> (29/6,5/1) Hyperbolic Matrix(2819,-1820,776,-501) (20/31,11/17) -> (69/19,40/11) Hyperbolic Matrix(4259,-2760,1020,-661) (11/17,35/54) -> (25/6,71/17) Hyperbolic Matrix(1157,-756,176,-115) (15/23,2/3) -> (46/7,33/5) Hyperbolic Matrix(1171,-802,860,-589) (13/19,11/16) -> (49/36,15/11) Hyperbolic Matrix(1031,-710,652,-449) (11/16,9/13) -> (49/31,19/12) Hyperbolic Matrix(5511,-3826,2260,-1569) (34/49,25/36) -> (39/16,100/41) Hyperbolic Matrix(3589,-2500,992,-691) (16/23,23/33) -> (47/13,76/21) Hyperbolic Matrix(409,-288,578,-407) (7/10,12/17) -> (12/17,17/24) Parabolic Matrix(2567,-1842,1958,-1405) (5/7,28/39) -> (38/29,59/45) Hyperbolic Matrix(4389,-3152,1586,-1139) (28/39,23/32) -> (83/30,36/13) Hyperbolic Matrix(1551,-1118,1988,-1433) (18/25,31/43) -> (7/9,32/41) Hyperbolic Matrix(1919,-1388,2490,-1801) (13/18,34/47) -> (10/13,37/48) Hyperbolic Matrix(5081,-3676,1414,-1023) (34/47,55/76) -> (79/22,18/5) Hyperbolic Matrix(4931,-3596,2146,-1565) (35/48,27/37) -> (85/37,23/10) Hyperbolic Matrix(1005,-736,736,-539) (19/26,11/15) -> (15/11,41/30) Hyperbolic Matrix(167,-124,66,-49) (11/15,3/4) -> (5/2,23/9) Hyperbolic Matrix(825,-626,626,-475) (3/4,19/25) -> (25/19,29/22) Hyperbolic Matrix(1679,-1280,526,-401) (16/21,29/38) -> (51/16,16/5) Hyperbolic Matrix(4567,-3496,1872,-1433) (13/17,36/47) -> (100/41,61/25) Hyperbolic Matrix(19013,-14570,13758,-10543) (59/77,23/30) -> (199/144,123/89) Hyperbolic Matrix(6025,-4646,4356,-3359) (37/48,27/35) -> (65/47,83/60) Hyperbolic Matrix(6905,-5392,2898,-2263) (32/41,25/32) -> (81/34,112/47) Hyperbolic Matrix(1529,-1196,326,-255) (25/32,18/23) -> (14/3,47/10) Hyperbolic Matrix(2081,-1630,586,-459) (18/23,29/37) -> (39/11,32/9) Hyperbolic Matrix(2405,-1886,1886,-1479) (29/37,11/14) -> (51/40,37/29) Hyperbolic Matrix(2855,-2248,682,-537) (37/47,26/33) -> (46/11,21/5) Hyperbolic Matrix(3179,-2506,940,-741) (26/33,15/19) -> (71/21,44/13) Hyperbolic Matrix(809,-640,292,-231) (15/19,4/5) -> (36/13,25/9) Hyperbolic Matrix(417,-338,512,-415) (4/5,13/16) -> (13/16,22/27) Parabolic Matrix(701,-576,286,-235) (9/11,14/17) -> (22/9,27/11) Hyperbolic Matrix(4671,-3856,2986,-2465) (33/40,19/23) -> (61/39,97/62) Hyperbolic Matrix(251,-214,156,-133) (5/6,6/7) -> (8/5,29/18) Hyperbolic Matrix(311,-268,94,-81) (6/7,7/8) -> (33/10,10/3) Hyperbolic Matrix(339,-298,124,-109) (7/8,1/1) -> (41/15,11/4) Hyperbolic Matrix(445,-484,194,-211) (1/1,10/9) -> (94/41,39/17) Hyperbolic Matrix(889,-1024,270,-311) (8/7,15/13) -> (23/7,56/17) Hyperbolic Matrix(1433,-1700,424,-503) (13/11,19/16) -> (27/8,71/21) Hyperbolic Matrix(3973,-4726,2464,-2931) (19/16,25/21) -> (79/49,129/80) Hyperbolic Matrix(265,-316,26,-31) (25/21,6/5) -> (10/1,11/1) Hyperbolic Matrix(1205,-1462,708,-859) (23/19,17/14) -> (17/10,63/37) Hyperbolic Matrix(445,-542,78,-95) (17/14,11/9) -> (17/3,23/4) Hyperbolic Matrix(417,-512,338,-415) (11/9,16/13) -> (16/13,21/17) Parabolic Matrix(1181,-1486,848,-1067) (5/4,29/23) -> (71/51,39/28) Hyperbolic Matrix(2097,-2660,920,-1167) (19/15,33/26) -> (41/18,57/25) Hyperbolic Matrix(4983,-6328,1456,-1849) (33/26,47/37) -> (65/19,89/26) Hyperbolic Matrix(1683,-2144,230,-293) (14/11,65/51) -> (51/7,22/3) Hyperbolic Matrix(3519,-4486,484,-617) (65/51,51/40) -> (29/4,51/7) Hyperbolic Matrix(6717,-8596,1984,-2539) (87/68,32/25) -> (44/13,149/44) Hyperbolic Matrix(661,-848,152,-195) (32/25,9/7) -> (13/3,48/11) Hyperbolic Matrix(2151,-2780,1214,-1569) (31/24,22/17) -> (62/35,39/22) Hyperbolic Matrix(1919,-2490,1388,-1801) (35/27,13/10) -> (47/34,65/47) Hyperbolic Matrix(9663,-12610,2692,-3513) (30/23,77/59) -> (61/17,140/39) Hyperbolic Matrix(905,-1182,428,-559) (47/36,17/13) -> (19/9,17/8) Hyperbolic Matrix(3277,-4322,900,-1187) (29/22,4/3) -> (142/39,51/14) Hyperbolic Matrix(6559,-8926,4054,-5517) (34/25,49/36) -> (55/34,144/89) Hyperbolic Matrix(2009,-2746,368,-503) (41/30,67/49) -> (49/9,11/2) Hyperbolic Matrix(2793,-3820,514,-703) (67/49,26/19) -> (38/7,49/9) Hyperbolic Matrix(4259,-5892,1484,-2053) (83/60,18/13) -> (66/23,23/8) Hyperbolic Matrix(851,-1180,194,-269) (18/13,25/18) -> (35/8,22/5) Hyperbolic Matrix(2475,-3442,1528,-2125) (25/18,32/23) -> (34/21,81/50) Hyperbolic Matrix(7711,-10734,2788,-3881) (32/23,71/51) -> (47/17,130/47) Hyperbolic Matrix(1235,-1722,388,-541) (39/28,7/5) -> (35/11,51/16) Hyperbolic Matrix(409,-578,288,-407) (7/5,17/12) -> (17/12,27/19) Parabolic Matrix(2761,-3966,1762,-2531) (56/39,23/16) -> (47/30,58/37) Hyperbolic Matrix(357,-514,166,-239) (23/16,13/9) -> (15/7,13/6) Hyperbolic Matrix(1085,-1584,424,-619) (16/11,19/13) -> (23/9,64/25) Hyperbolic Matrix(641,-984,114,-175) (3/2,20/13) -> (28/5,45/8) Hyperbolic Matrix(891,-1372,502,-773) (20/13,17/11) -> (55/31,16/9) Hyperbolic Matrix(1139,-1762,660,-1021) (17/11,31/20) -> (69/40,19/11) Hyperbolic Matrix(6329,-9912,1966,-3079) (83/53,47/30) -> (103/32,29/9) Hyperbolic Matrix(1485,-2342,428,-675) (41/26,71/45) -> (45/13,7/2) Hyperbolic Matrix(2565,-4048,742,-1171) (71/45,30/19) -> (38/11,45/13) Hyperbolic Matrix(4167,-6620,1748,-2777) (27/17,89/56) -> (143/60,31/13) Hyperbolic Matrix(11849,-18834,4972,-7903) (89/56,62/39) -> (112/47,143/60) Hyperbolic Matrix(5263,-8368,3090,-4913) (62/39,35/22) -> (109/64,46/27) Hyperbolic Matrix(269,-428,22,-35) (35/22,43/27) -> (11/1,1/0) Hyperbolic Matrix(1633,-2602,514,-819) (43/27,8/5) -> (54/17,35/11) Hyperbolic Matrix(2931,-4724,1244,-2005) (29/18,79/49) -> (73/31,33/14) Hyperbolic Matrix(39739,-64082,24642,-39737) (129/80,179/111) -> (179/111,229/142) Parabolic Matrix(1975,-3186,866,-1397) (50/31,21/13) -> (57/25,16/7) Hyperbolic Matrix(17037,-27566,4076,-6595) (144/89,233/144) -> (117/28,46/11) Hyperbolic Matrix(16659,-26956,3988,-6453) (233/144,89/55) -> (71/17,117/28) Hyperbolic Matrix(509,-824,244,-395) (89/55,34/21) -> (2/1,19/9) Hyperbolic Matrix(3541,-5740,752,-1219) (47/29,60/37) -> (80/17,33/7) Hyperbolic Matrix(2787,-4522,1216,-1973) (60/37,13/8) -> (55/24,94/41) Hyperbolic Matrix(397,-648,242,-395) (13/8,18/11) -> (18/11,23/14) Parabolic Matrix(151,-254,22,-37) (5/3,22/13) -> (20/3,7/1) Hyperbolic Matrix(559,-948,194,-329) (39/23,17/10) -> (23/8,3/1) Hyperbolic Matrix(14925,-25444,6304,-10747) (75/44,104/61) -> (116/49,161/68) Hyperbolic Matrix(3521,-6050,2048,-3519) (12/7,55/32) -> (55/32,98/57) Parabolic Matrix(7227,-12436,1300,-2237) (117/68,74/43) -> (50/9,89/16) Hyperbolic Matrix(6943,-11964,2684,-4625) (31/18,81/47) -> (75/29,119/46) Hyperbolic Matrix(191,-332,42,-73) (19/11,7/4) -> (9/2,23/5) Hyperbolic Matrix(1555,-2738,882,-1553) (7/4,37/21) -> (37/21,67/38) Parabolic Matrix(6733,-11942,1966,-3487) (94/53,55/31) -> (113/33,24/7) Hyperbolic Matrix(229,-410,62,-111) (16/9,9/5) -> (11/3,26/7) Hyperbolic Matrix(1983,-3586,454,-821) (9/5,38/21) -> (48/11,83/19) Hyperbolic Matrix(1031,-1868,186,-337) (38/21,29/16) -> (11/2,50/9) Hyperbolic Matrix(265,-488,82,-151) (11/6,13/7) -> (29/9,13/4) Hyperbolic Matrix(689,-1282,122,-227) (13/7,28/15) -> (62/11,17/3) Hyperbolic Matrix(361,-800,162,-359) (11/5,20/9) -> (20/9,29/13) Parabolic Matrix(3099,-7052,1310,-2981) (25/11,66/29) -> (26/11,97/41) Hyperbolic Matrix(4495,-10236,956,-2177) (107/47,41/18) -> (47/10,127/27) Hyperbolic Matrix(3309,-7594,634,-1455) (39/17,101/44) -> (73/14,47/9) Hyperbolic Matrix(3115,-7152,598,-1373) (101/44,62/27) -> (26/5,73/14) Hyperbolic Matrix(1577,-3644,280,-647) (30/13,37/16) -> (45/8,62/11) Hyperbolic Matrix(1171,-2716,454,-1053) (37/16,7/3) -> (49/19,129/50) Hyperbolic Matrix(10229,-24222,2704,-6403) (161/68,45/19) -> (87/23,227/60) Hyperbolic Matrix(1601,-3794,430,-1019) (45/19,19/8) -> (67/18,41/11) Hyperbolic Matrix(1395,-3362,578,-1393) (12/5,41/17) -> (41/17,70/29) Parabolic Matrix(2545,-6214,994,-2427) (61/25,22/9) -> (64/25,105/41) Hyperbolic Matrix(14723,-37708,4300,-11013) (105/41,146/57) -> (202/59,113/33) Hyperbolic Matrix(8305,-21276,2426,-6215) (146/57,41/16) -> (89/26,202/59) Hyperbolic Matrix(33859,-87362,13122,-33857) (129/50,209/81) -> (209/81,289/112) Parabolic Matrix(955,-2466,146,-377) (80/31,31/12) -> (13/2,46/7) Hyperbolic Matrix(7341,-18992,1940,-5019) (119/46,44/17) -> (140/37,53/14) Hyperbolic Matrix(2455,-6362,678,-1757) (57/22,13/5) -> (105/29,29/8) Hyperbolic Matrix(337,-882,128,-335) (13/5,21/8) -> (21/8,29/11) Parabolic Matrix(157,-422,16,-43) (8/3,35/13) -> (9/1,10/1) Hyperbolic Matrix(329,-890,78,-211) (27/10,19/7) -> (21/5,17/4) Hyperbolic Matrix(499,-1358,140,-381) (19/7,30/11) -> (32/9,25/7) Hyperbolic Matrix(401,-1106,62,-171) (11/4,47/17) -> (45/7,13/2) Hyperbolic Matrix(28029,-77530,7408,-20491) (130/47,213/77) -> (367/97,140/37) Hyperbolic Matrix(28489,-78812,7530,-20831) (213/77,83/30) -> (227/60,367/97) Hyperbolic Matrix(1291,-3698,450,-1289) (20/7,43/15) -> (43/15,66/23) Parabolic Matrix(309,-968,98,-307) (3/1,22/7) -> (22/7,41/13) Parabolic Matrix(703,-2256,110,-353) (16/5,45/14) -> (51/8,32/5) Hyperbolic Matrix(11001,-35398,2338,-7523) (74/23,177/55) -> (287/61,80/17) Hyperbolic Matrix(20569,-66200,4372,-14071) (177/55,103/32) -> (207/44,287/61) Hyperbolic Matrix(4051,-13348,878,-2893) (56/17,89/27) -> (143/31,60/13) Hyperbolic Matrix(3671,-12106,796,-2625) (89/27,33/10) -> (83/18,143/31) Hyperbolic Matrix(12005,-40658,2552,-8643) (149/44,105/31) -> (127/27,207/44) Hyperbolic Matrix(2585,-9248,722,-2583) (25/7,68/19) -> (68/19,111/31) Parabolic Matrix(1119,-4042,214,-773) (65/18,47/13) -> (47/9,21/4) Hyperbolic Matrix(4551,-16562,1250,-4549) (40/11,91/25) -> (91/25,142/39) Parabolic Matrix(277,-1058,72,-275) (19/5,23/6) -> (23/6,27/7) Parabolic Matrix(1035,-4418,242,-1033) (17/4,47/11) -> (47/11,77/18) Parabolic Matrix(241,-1152,50,-239) (19/4,24/5) -> (24/5,29/6) Parabolic Matrix(201,-1250,32,-199) (6/1,25/4) -> (25/4,44/7) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,0,1) Matrix(767,362,1320,623) -> Matrix(21,-2,-10,1) Matrix(1529,716,1198,561) -> Matrix(1,0,-2,1) Matrix(1413,658,1952,909) -> Matrix(5,-2,-2,1) Matrix(5627,2610,2378,1103) -> Matrix(3,-2,2,-1) Matrix(2051,950,326,151) -> Matrix(7,-6,-8,7) Matrix(535,246,2364,1087) -> Matrix(1,0,0,1) Matrix(4931,2264,6436,2955) -> Matrix(3,2,-2,-1) Matrix(1073,492,1712,785) -> Matrix(1,2,-2,-3) Matrix(857,392,1174,537) -> Matrix(1,-2,0,1) Matrix(951,430,1484,671) -> Matrix(1,0,-12,1) Matrix(421,190,1376,621) -> Matrix(9,-2,-4,1) Matrix(525,236,634,285) -> Matrix(7,-2,-10,3) Matrix(317,142,-1998,-895) -> Matrix(1,0,-2,1) Matrix(211,94,312,139) -> Matrix(1,0,-2,1) Matrix(521,230,1452,641) -> Matrix(1,-2,2,-3) Matrix(931,410,-2382,-1049) -> Matrix(1,-2,0,1) Matrix(2175,956,1654,727) -> Matrix(1,0,0,1) Matrix(3311,1454,1446,635) -> Matrix(1,-2,2,-3) Matrix(825,362,1552,681) -> Matrix(1,-6,0,1) Matrix(105,46,824,361) -> Matrix(1,0,0,1) Matrix(1339,584,924,403) -> Matrix(3,-2,-4,3) Matrix(409,178,-1744,-759) -> Matrix(3,4,2,3) Matrix(1125,488,1948,845) -> Matrix(1,-2,0,1) Matrix(1127,488,-2866,-1241) -> Matrix(5,2,2,1) Matrix(7047,3046,4088,1767) -> Matrix(1,0,4,1) Matrix(1937,836,614,265) -> Matrix(1,0,24,1) Matrix(1309,556,1010,429) -> Matrix(1,0,-4,1) Matrix(401,170,1512,641) -> Matrix(17,-8,-2,1) Matrix(3313,1400,2312,977) -> Matrix(7,-6,-8,7) Matrix(303,128,2308,975) -> Matrix(1,0,-2,1) Matrix(1507,636,2206,931) -> Matrix(3,-2,2,-1) Matrix(1105,466,-4816,-2031) -> Matrix(19,-12,8,-5) Matrix(799,336,302,127) -> Matrix(7,-6,-8,7) Matrix(5989,2510,3696,1549) -> Matrix(3,-4,-14,19) Matrix(1299,544,-5590,-2341) -> Matrix(1,0,0,1) Matrix(297,124,-994,-415) -> Matrix(1,0,0,1) Matrix(3073,1276,696,289) -> Matrix(3,2,-8,-5) Matrix(2083,864,-7534,-3125) -> Matrix(3,-4,4,-5) Matrix(695,288,-3072,-1273) -> Matrix(1,2,0,1) Matrix(2667,1102,1682,695) -> Matrix(1,0,-2,1) Matrix(10967,4528,8000,3303) -> Matrix(1,-2,0,1) Matrix(6323,2610,986,407) -> Matrix(1,2,-2,-3) Matrix(989,408,-4642,-1915) -> Matrix(1,-2,0,1) Matrix(1183,486,-5416,-2225) -> Matrix(1,6,0,1) Matrix(3543,1454,982,403) -> Matrix(3,2,-2,-1) Matrix(293,120,-1570,-643) -> Matrix(5,2,2,1) Matrix(881,360,394,161) -> Matrix(1,0,8,1) Matrix(683,278,882,359) -> Matrix(9,-2,-4,1) Matrix(481,190,1724,681) -> Matrix(13,-16,-4,5) Matrix(8705,3426,3824,1505) -> Matrix(1,-2,2,-3) Matrix(1143,448,1814,711) -> Matrix(1,-4,-2,9) Matrix(3523,1376,2568,1003) -> Matrix(1,-2,0,1) Matrix(2375,926,3424,1335) -> Matrix(1,0,0,1) Matrix(1237,482,-4658,-1815) -> Matrix(1,2,0,1) Matrix(665,258,2178,845) -> Matrix(1,-2,0,1) Matrix(2461,954,3222,1249) -> Matrix(5,-2,-2,1) Matrix(191,74,1608,623) -> Matrix(1,0,-2,1) Matrix(755,292,1042,403) -> Matrix(1,-2,0,1) Matrix(469,180,284,109) -> Matrix(1,0,2,1) Matrix(6569,2510,2536,969) -> Matrix(19,-4,-14,3) Matrix(1503,574,-6664,-2545) -> Matrix(7,-2,4,-1) Matrix(561,214,-1780,-679) -> Matrix(1,0,-2,1) Matrix(2899,1102,1218,463) -> Matrix(1,0,-2,1) Matrix(653,248,2246,853) -> Matrix(5,-2,-2,1) Matrix(375,142,1772,671) -> Matrix(3,-2,-4,3) Matrix(931,352,1214,459) -> Matrix(1,-2,0,1) Matrix(1571,584,460,171) -> Matrix(3,-2,-4,3) Matrix(3137,1164,4056,1505) -> Matrix(17,-14,-6,5) Matrix(3777,1400,1384,513) -> Matrix(7,-6,-8,7) Matrix(919,340,646,239) -> Matrix(15,-14,-16,15) Matrix(643,236,1098,403) -> Matrix(7,-12,-4,7) Matrix(273,100,1466,537) -> Matrix(1,-4,0,1) Matrix(181,66,-820,-299) -> Matrix(1,2,0,1) Matrix(819,296,1270,459) -> Matrix(1,0,0,1) Matrix(1541,556,546,197) -> Matrix(1,0,-4,1) Matrix(4529,1628,2896,1041) -> Matrix(1,2,-2,-3) Matrix(1993,716,270,97) -> Matrix(1,0,-2,1) Matrix(3255,1168,1268,455) -> Matrix(3,2,-2,-1) Matrix(3075,1102,812,291) -> Matrix(3,-4,-2,3) Matrix(449,160,362,129) -> Matrix(1,0,0,1) Matrix(181,64,806,285) -> Matrix(1,0,-2,1) Matrix(445,156,-1606,-563) -> Matrix(1,-2,2,-3) Matrix(2051,716,444,155) -> Matrix(1,0,-6,1) Matrix(619,214,888,307) -> Matrix(3,-2,2,-1) Matrix(855,274,596,191) -> Matrix(5,-4,-6,5) Matrix(1275,404,2206,699) -> Matrix(5,-2,-2,1) Matrix(6509,2044,2538,797) -> Matrix(3,2,-2,-1) Matrix(7859,2464,-28390,-8901) -> Matrix(1,-2,2,-3) Matrix(6587,2064,1184,371) -> Matrix(5,-2,-2,1) Matrix(757,236,170,53) -> Matrix(3,-2,-10,7) Matrix(755,234,926,287) -> Matrix(17,-16,-18,17) Matrix(751,230,2844,871) -> Matrix(23,-34,-2,3) Matrix(2839,868,2090,639) -> Matrix(3,-4,-2,3) Matrix(249,76,1838,561) -> Matrix(1,-2,2,-3) Matrix(2669,814,4174,1273) -> Matrix(1,-2,-2,5) Matrix(915,278,418,127) -> Matrix(1,-2,-4,9) Matrix(1163,352,750,227) -> Matrix(1,-2,0,1) Matrix(2727,812,2146,639) -> Matrix(1,-2,2,-3) Matrix(1321,392,246,73) -> Matrix(1,-2,0,1) Matrix(987,292,578,171) -> Matrix(1,-2,0,1) Matrix(409,120,576,169) -> Matrix(1,-6,0,1) Matrix(735,214,656,191) -> Matrix(1,2,-2,-3) Matrix(3187,926,1800,523) -> Matrix(1,0,0,1) Matrix(407,118,1390,403) -> Matrix(1,-2,0,1) Matrix(1051,296,806,227) -> Matrix(1,0,0,1) Matrix(1531,430,324,91) -> Matrix(1,0,-12,1) Matrix(1933,540,562,157) -> Matrix(1,0,-2,1) Matrix(1607,448,886,247) -> Matrix(9,-4,-2,1) Matrix(46039,12746,19328,5351) -> Matrix(3,-2,-4,3) Matrix(71781,19870,44510,12321) -> Matrix(3,-2,-16,11) Matrix(10025,2774,7376,2041) -> Matrix(11,-8,-4,3) Matrix(11941,3300,6734,1861) -> Matrix(5,-4,-16,13) Matrix(2165,598,5608,1549) -> Matrix(41,-34,-6,5) Matrix(639,176,1042,287) -> Matrix(15,-14,-16,15) Matrix(875,236,634,171) -> Matrix(7,-12,-4,7) Matrix(1347,362,160,43) -> Matrix(1,-2,-10,21) Matrix(2697,724,2060,553) -> Matrix(1,-2,-2,5) Matrix(1821,488,556,149) -> Matrix(1,-2,0,1) Matrix(2925,778,1658,441) -> Matrix(1,-2,0,1) Matrix(1343,356,630,167) -> Matrix(1,-2,-2,5) Matrix(235,62,-1338,-353) -> Matrix(1,2,0,1) Matrix(1495,392,942,247) -> Matrix(1,-2,-2,5) Matrix(315,82,-1648,-429) -> Matrix(3,-8,2,-5) Matrix(1405,362,392,101) -> Matrix(1,-6,0,1) Matrix(687,164,532,127) -> Matrix(3,-2,-4,3) Matrix(379,90,838,199) -> Matrix(9,-8,-10,9) Matrix(3481,814,6436,1505) -> Matrix(3,-4,-2,3) Matrix(7719,1804,5678,1327) -> Matrix(3,-4,-2,3) Matrix(755,176,2724,635) -> Matrix(7,-10,-2,3) Matrix(13291,3084,3702,859) -> Matrix(3,-4,-2,3) Matrix(1961,454,-8980,-2079) -> Matrix(13,-20,2,-3) Matrix(2409,554,4144,953) -> Matrix(29,-60,-14,29) Matrix(5791,1326,4590,1051) -> Matrix(3,-8,2,-5) Matrix(8121,1858,3536,809) -> Matrix(7,-20,6,-17) Matrix(1279,292,2028,463) -> Matrix(1,-4,-2,9) Matrix(3077,698,1274,289) -> Matrix(1,-2,0,1) Matrix(3445,776,5314,1197) -> Matrix(1,-2,0,1) Matrix(525,118,2318,521) -> Matrix(1,-2,0,1) Matrix(1635,358,2078,455) -> Matrix(3,-10,-2,7) Matrix(77541,16930,30050,6561) -> Matrix(3,-16,-2,11) Matrix(21737,4744,15730,3433) -> Matrix(3,-22,-2,15) Matrix(2669,582,3710,809) -> Matrix(1,-8,0,1) Matrix(369,80,964,209) -> Matrix(1,-18,0,1) Matrix(7739,1650,4498,959) -> Matrix(1,4,-2,-7) Matrix(1619,344,1106,235) -> Matrix(1,4,-2,-7) Matrix(1691,358,222,47) -> Matrix(1,0,-2,1) Matrix(1693,358,2426,513) -> Matrix(1,2,0,1) Matrix(1101,230,292,61) -> Matrix(3,2,-2,-1) Matrix(733,152,950,197) -> Matrix(1,-2,0,1) Matrix(71,14,218,43) -> Matrix(1,0,-2,1) Matrix(2805,542,502,97) -> Matrix(5,-6,-4,5) Matrix(5597,1074,1652,317) -> Matrix(5,-8,2,-3) Matrix(1001,190,216,41) -> Matrix(1,-2,-4,9) Matrix(8763,1628,3418,635) -> Matrix(7,-12,-4,7) Matrix(2707,502,426,79) -> Matrix(3,-8,-4,11) Matrix(1349,248,854,157) -> Matrix(1,-2,-2,5) Matrix(565,102,72,13) -> Matrix(1,-2,-4,9) Matrix(1061,190,564,101) -> Matrix(5,-16,-4,13) Matrix(987,176,2260,403) -> Matrix(3,-10,-2,7) Matrix(1127,200,1482,263) -> Matrix(1,-6,0,1) Matrix(1125,196,1544,269) -> Matrix(1,-8,0,1) Matrix(981,170,352,61) -> Matrix(1,-8,-2,17) Matrix(207,34,140,23) -> Matrix(1,2,-2,-3) Matrix(3245,518,758,121) -> Matrix(1,0,-2,1) Matrix(413,64,342,53) -> Matrix(1,0,-2,1) Matrix(889,134,272,41) -> Matrix(1,0,0,1) Matrix(955,142,612,91) -> Matrix(3,-2,-4,3) Matrix(737,100,538,73) -> Matrix(1,-4,0,1) Matrix(2337,308,736,97) -> Matrix(1,-2,8,-15) Matrix(4007,526,3070,403) -> Matrix(1,-2,-2,5) Matrix(1467,190,332,43) -> Matrix(3,-10,-8,27) Matrix(65,8,398,49) -> Matrix(1,-12,0,1) Matrix(2239,268,660,79) -> Matrix(1,12,0,1) Matrix(1177,134,852,97) -> Matrix(3,8,-2,-5) Matrix(453,46,128,13) -> Matrix(1,0,0,1) Matrix(771,74,448,43) -> Matrix(1,0,-2,1) Matrix(367,-40,156,-17) -> Matrix(1,2,0,1) Matrix(1613,-184,938,-107) -> Matrix(3,4,-4,-5) Matrix(357,-50,50,-7) -> Matrix(1,0,-2,1) Matrix(151,-22,254,-37) -> Matrix(3,-4,-2,3) Matrix(1457,-226,1154,-179) -> Matrix(1,-6,0,1) Matrix(1303,-204,2408,-377) -> Matrix(1,-12,0,1) Matrix(201,-32,1250,-199) -> Matrix(1,-42,0,1) Matrix(247,-42,100,-17) -> Matrix(1,4,0,1) Matrix(641,-114,984,-175) -> Matrix(1,2,2,5) Matrix(7377,-1322,4280,-767) -> Matrix(1,2,-4,-7) Matrix(3391,-612,1424,-257) -> Matrix(1,2,0,1) Matrix(1323,-244,244,-45) -> Matrix(1,2,0,1) Matrix(731,-138,196,-37) -> Matrix(1,0,0,1) Matrix(1201,-248,770,-159) -> Matrix(5,6,-6,-7) Matrix(1343,-282,862,-181) -> Matrix(5,4,-4,-3) Matrix(1529,-326,1196,-255) -> Matrix(1,0,2,1) Matrix(191,-42,332,-73) -> Matrix(1,-2,0,1) Matrix(851,-194,1180,-269) -> Matrix(1,-2,0,1) Matrix(611,-142,142,-33) -> Matrix(1,0,-2,1) Matrix(329,-78,890,-211) -> Matrix(1,2,0,1) Matrix(1153,-298,414,-107) -> Matrix(1,-12,-2,25) Matrix(1791,-470,644,-169) -> Matrix(1,22,-2,-43) Matrix(7707,-2038,3256,-861) -> Matrix(1,10,0,1) Matrix(229,-62,410,-111) -> Matrix(1,2,0,1) Matrix(1001,-274,274,-75) -> Matrix(1,4,0,1) Matrix(4001,-1102,2320,-639) -> Matrix(1,4,-2,-7) Matrix(3589,-992,2500,-691) -> Matrix(5,16,-6,-19) Matrix(7267,-2012,1954,-541) -> Matrix(1,2,0,1) Matrix(5081,-1414,3676,-1023) -> Matrix(1,2,0,1) Matrix(953,-266,498,-139) -> Matrix(7,22,-8,-25) Matrix(1631,-456,862,-241) -> Matrix(13,38,-12,-35) Matrix(499,-140,1358,-381) -> Matrix(1,2,2,5) Matrix(1395,-404,404,-117) -> Matrix(1,2,0,1) Matrix(1121,-328,270,-79) -> Matrix(1,2,-2,-3) Matrix(403,-120,178,-53) -> Matrix(1,2,2,5) Matrix(311,-94,268,-81) -> Matrix(1,2,-2,-3) Matrix(265,-82,488,-151) -> Matrix(5,8,-2,-3) Matrix(1679,-526,1280,-401) -> Matrix(3,4,2,3) Matrix(1633,-514,2602,-819) -> Matrix(13,16,-22,-27) Matrix(309,-98,968,-307) -> Matrix(13,14,-14,-15) Matrix(729,-256,430,-151) -> Matrix(1,0,0,1) Matrix(557,-198,256,-91) -> Matrix(1,0,-4,1) Matrix(1153,-414,298,-107) -> Matrix(5,-4,-6,5) Matrix(809,-292,640,-231) -> Matrix(1,-2,0,1) Matrix(339,-124,298,-109) -> Matrix(1,0,-2,1) Matrix(2927,-1074,2292,-841) -> Matrix(1,0,0,1) Matrix(3769,-1392,1102,-407) -> Matrix(1,-2,-2,5) Matrix(1099,-408,466,-173) -> Matrix(1,-2,0,1) Matrix(337,-128,882,-335) -> Matrix(1,-26,0,1) Matrix(1381,-532,880,-339) -> Matrix(1,8,-2,-15) Matrix(4349,-1682,2552,-987) -> Matrix(1,6,0,1) Matrix(1253,-486,544,-211) -> Matrix(1,6,0,1) Matrix(167,-66,124,-49) -> Matrix(1,2,0,1) Matrix(247,-100,42,-17) -> Matrix(1,2,0,1) Matrix(1397,-574,864,-355) -> Matrix(1,2,-4,-7) Matrix(697,-288,288,-119) -> Matrix(1,2,0,1) Matrix(449,-188,246,-103) -> Matrix(1,0,0,1) Matrix(1265,-534,244,-103) -> Matrix(3,8,4,11) Matrix(7707,-3256,2038,-861) -> Matrix(17,44,-12,-31) Matrix(6359,-2688,1876,-793) -> Matrix(9,22,2,5) Matrix(1099,-466,408,-173) -> Matrix(5,12,-8,-19) Matrix(1253,-544,486,-211) -> Matrix(1,0,0,1) Matrix(4931,-2146,3596,-1565) -> Matrix(5,8,-2,-3) Matrix(16687,-7268,4484,-1953) -> Matrix(5,8,-2,-3) Matrix(15633,-6812,4202,-1831) -> Matrix(1,2,-2,-3) Matrix(6623,-2888,2424,-1057) -> Matrix(3,4,-4,-5) Matrix(403,-178,120,-53) -> Matrix(3,4,2,3) Matrix(361,-162,800,-359) -> Matrix(17,18,-18,-19) Matrix(557,-256,198,-91) -> Matrix(3,2,-8,-5) Matrix(357,-166,514,-239) -> Matrix(1,0,2,1) Matrix(953,-498,266,-139) -> Matrix(1,-6,0,1) Matrix(755,-404,114,-61) -> Matrix(1,4,-2,-7) Matrix(3539,-1912,2260,-1221) -> Matrix(1,2,-2,-3) Matrix(449,-246,188,-103) -> Matrix(1,2,0,1) Matrix(781,-438,148,-83) -> Matrix(1,4,0,1) Matrix(891,-502,1372,-773) -> Matrix(1,2,0,1) Matrix(2151,-1214,2780,-1569) -> Matrix(5,8,-2,-3) Matrix(851,-482,482,-273) -> Matrix(1,2,0,1) Matrix(3049,-1764,662,-383) -> Matrix(1,2,-2,-3) Matrix(4001,-2320,1102,-639) -> Matrix(1,2,2,5) Matrix(7377,-4280,1322,-767) -> Matrix(7,16,-4,-9) Matrix(9323,-5410,5468,-3173) -> Matrix(1,2,4,9) Matrix(25165,-14624,10564,-6139) -> Matrix(1,2,10,21) Matrix(1613,-938,184,-107) -> Matrix(1,2,24,49) Matrix(1247,-726,146,-85) -> Matrix(1,2,-22,-43) Matrix(4349,-2552,1682,-987) -> Matrix(23,36,-16,-25) Matrix(1205,-708,1462,-859) -> Matrix(5,6,-6,-7) Matrix(729,-430,256,-151) -> Matrix(1,2,-4,-7) Matrix(1021,-604,546,-323) -> Matrix(11,18,-8,-13) Matrix(397,-242,648,-395) -> Matrix(21,22,-22,-23) Matrix(7643,-4712,2798,-1725) -> Matrix(5,4,-4,-3) Matrix(7389,-4558,5776,-3563) -> Matrix(5,4,6,5) Matrix(2475,-1528,3442,-2125) -> Matrix(7,6,-6,-5) Matrix(1397,-864,574,-355) -> Matrix(5,4,-4,-3) Matrix(251,-156,214,-133) -> Matrix(3,2,-2,-1) Matrix(4275,-2686,1816,-1141) -> Matrix(7,4,-2,-1) Matrix(5627,-3538,3596,-2261) -> Matrix(11,6,-24,-13) Matrix(10431,-6562,2386,-1501) -> Matrix(51,26,-104,-53) Matrix(10573,-6654,2420,-1523) -> Matrix(49,24,-96,-47) Matrix(1031,-652,710,-449) -> Matrix(1,2,-2,-3) Matrix(781,-496,496,-315) -> Matrix(1,0,0,1) Matrix(5771,-3682,1594,-1017) -> Matrix(1,0,2,1) Matrix(4779,-3052,1486,-949) -> Matrix(1,0,8,1) Matrix(8917,-5700,5236,-3347) -> Matrix(1,0,4,1) Matrix(1201,-770,248,-159) -> Matrix(1,0,18,1) Matrix(2819,-1820,776,-501) -> Matrix(1,0,0,1) Matrix(4259,-2760,1020,-661) -> Matrix(1,0,-2,1) Matrix(1157,-756,176,-115) -> Matrix(1,0,-2,1) Matrix(1171,-802,860,-589) -> Matrix(1,-2,0,1) Matrix(1031,-710,652,-449) -> Matrix(1,0,-2,1) Matrix(5511,-3826,2260,-1569) -> Matrix(1,0,-4,1) Matrix(3589,-2500,992,-691) -> Matrix(1,0,-2,1) Matrix(409,-288,578,-407) -> Matrix(1,-10,0,1) Matrix(2567,-1842,1958,-1405) -> Matrix(1,2,2,5) Matrix(4389,-3152,1586,-1139) -> Matrix(1,4,-2,-7) Matrix(1551,-1118,1988,-1433) -> Matrix(3,8,-2,-5) Matrix(1919,-1388,2490,-1801) -> Matrix(1,0,0,1) Matrix(5081,-3676,1414,-1023) -> Matrix(1,0,0,1) Matrix(4931,-3596,2146,-1565) -> Matrix(3,10,2,7) Matrix(1005,-736,736,-539) -> Matrix(1,0,0,1) Matrix(167,-124,66,-49) -> Matrix(1,0,0,1) Matrix(825,-626,626,-475) -> Matrix(1,2,0,1) Matrix(1679,-1280,526,-401) -> Matrix(1,2,6,13) Matrix(4567,-3496,1872,-1433) -> Matrix(1,2,-8,-15) Matrix(19013,-14570,13758,-10543) -> Matrix(11,18,-8,-13) Matrix(6025,-4646,4356,-3359) -> Matrix(3,8,-2,-5) Matrix(6905,-5392,2898,-2263) -> Matrix(1,2,0,1) Matrix(1529,-1196,326,-255) -> Matrix(1,2,-10,-19) Matrix(2081,-1630,586,-459) -> Matrix(1,2,-2,-3) Matrix(2405,-1886,1886,-1479) -> Matrix(1,2,-2,-3) Matrix(2855,-2248,682,-537) -> Matrix(1,2,-4,-7) Matrix(3179,-2506,940,-741) -> Matrix(3,4,2,3) Matrix(809,-640,292,-231) -> Matrix(7,10,-12,-17) Matrix(417,-338,512,-415) -> Matrix(25,26,-26,-27) Matrix(701,-576,286,-235) -> Matrix(5,4,6,5) Matrix(4671,-3856,2986,-2465) -> Matrix(19,14,-34,-25) Matrix(251,-214,156,-133) -> Matrix(1,0,-2,1) Matrix(311,-268,94,-81) -> Matrix(1,0,2,1) Matrix(339,-298,124,-109) -> Matrix(1,2,-2,-3) Matrix(445,-484,194,-211) -> Matrix(5,4,6,5) Matrix(889,-1024,270,-311) -> Matrix(1,0,4,1) Matrix(1433,-1700,424,-503) -> Matrix(5,2,2,1) Matrix(3973,-4726,2464,-2931) -> Matrix(1,0,-2,1) Matrix(265,-316,26,-31) -> Matrix(1,0,2,1) Matrix(1205,-1462,708,-859) -> Matrix(1,0,2,1) Matrix(445,-542,78,-95) -> Matrix(1,0,2,1) Matrix(417,-512,338,-415) -> Matrix(1,0,6,1) Matrix(1181,-1486,848,-1067) -> Matrix(3,-4,-2,3) Matrix(2097,-2660,920,-1167) -> Matrix(1,0,4,1) Matrix(4983,-6328,1456,-1849) -> Matrix(1,0,-6,1) Matrix(1683,-2144,230,-293) -> Matrix(1,0,-2,1) Matrix(3519,-4486,484,-617) -> Matrix(1,0,-2,1) Matrix(6717,-8596,1984,-2539) -> Matrix(1,0,0,1) Matrix(661,-848,152,-195) -> Matrix(1,2,-2,-3) Matrix(2151,-2780,1214,-1569) -> Matrix(3,2,-2,-1) Matrix(1919,-2490,1388,-1801) -> Matrix(7,2,-4,-1) Matrix(9663,-12610,2692,-3513) -> Matrix(1,-2,0,1) Matrix(905,-1182,428,-559) -> Matrix(1,0,-2,1) Matrix(3277,-4322,900,-1187) -> Matrix(1,0,0,1) Matrix(6559,-8926,4054,-5517) -> Matrix(1,2,-4,-7) Matrix(2009,-2746,368,-503) -> Matrix(1,2,0,1) Matrix(2793,-3820,514,-703) -> Matrix(1,2,0,1) Matrix(4259,-5892,1484,-2053) -> Matrix(1,2,-4,-7) Matrix(851,-1180,194,-269) -> Matrix(5,8,-12,-19) Matrix(2475,-3442,1528,-2125) -> Matrix(3,4,-10,-13) Matrix(7711,-10734,2788,-3881) -> Matrix(7,10,-12,-17) Matrix(1235,-1722,388,-541) -> Matrix(3,4,20,27) Matrix(409,-578,288,-407) -> Matrix(23,24,-24,-25) Matrix(2761,-3966,1762,-2531) -> Matrix(5,4,-4,-3) Matrix(357,-514,166,-239) -> Matrix(5,4,-14,-11) Matrix(1085,-1584,424,-619) -> Matrix(19,12,-8,-5) Matrix(641,-984,114,-175) -> Matrix(1,0,2,1) Matrix(891,-1372,502,-773) -> Matrix(1,0,4,1) Matrix(1139,-1762,660,-1021) -> Matrix(1,0,-2,1) Matrix(6329,-9912,1966,-3079) -> Matrix(1,0,6,1) Matrix(1485,-2342,428,-675) -> Matrix(1,0,2,1) Matrix(2565,-4048,742,-1171) -> Matrix(1,0,2,1) Matrix(4167,-6620,1748,-2777) -> Matrix(5,2,2,1) Matrix(11849,-18834,4972,-7903) -> Matrix(7,2,10,3) Matrix(5263,-8368,3090,-4913) -> Matrix(1,0,4,1) Matrix(269,-428,22,-35) -> Matrix(1,0,2,1) Matrix(1633,-2602,514,-819) -> Matrix(1,0,10,1) Matrix(2931,-4724,1244,-2005) -> Matrix(1,0,4,1) Matrix(39739,-64082,24642,-39737) -> Matrix(1,0,0,1) Matrix(1975,-3186,866,-1397) -> Matrix(1,0,6,1) Matrix(17037,-27566,4076,-6595) -> Matrix(9,2,-14,-3) Matrix(16659,-26956,3988,-6453) -> Matrix(1,0,4,1) Matrix(509,-824,244,-395) -> Matrix(1,0,2,1) Matrix(3541,-5740,752,-1219) -> Matrix(1,0,-4,1) Matrix(2787,-4522,1216,-1973) -> Matrix(11,2,16,3) Matrix(397,-648,242,-395) -> Matrix(1,0,14,1) Matrix(151,-254,22,-37) -> Matrix(1,0,-2,1) Matrix(559,-948,194,-329) -> Matrix(1,0,-2,1) Matrix(14925,-25444,6304,-10747) -> Matrix(1,0,0,1) Matrix(3521,-6050,2048,-3519) -> Matrix(5,6,-6,-7) Matrix(7227,-12436,1300,-2237) -> Matrix(7,4,-2,-1) Matrix(6943,-11964,2684,-4625) -> Matrix(5,4,-4,-3) Matrix(191,-332,42,-73) -> Matrix(1,0,-4,1) Matrix(1555,-2738,882,-1553) -> Matrix(1,0,0,1) Matrix(6733,-11942,1966,-3487) -> Matrix(1,0,8,1) Matrix(229,-410,62,-111) -> Matrix(1,-2,0,1) Matrix(1983,-3586,454,-821) -> Matrix(1,14,-2,-27) Matrix(1031,-1868,186,-337) -> Matrix(1,6,0,1) Matrix(265,-488,82,-151) -> Matrix(1,2,2,5) Matrix(689,-1282,122,-227) -> Matrix(1,2,-2,-3) Matrix(361,-800,162,-359) -> Matrix(1,0,22,1) Matrix(3099,-7052,1310,-2981) -> Matrix(1,0,0,1) Matrix(4495,-10236,956,-2177) -> Matrix(1,0,-8,1) Matrix(3309,-7594,634,-1455) -> Matrix(15,-14,14,-13) Matrix(3115,-7152,598,-1373) -> Matrix(13,-14,14,-15) Matrix(1577,-3644,280,-647) -> Matrix(1,0,0,1) Matrix(1171,-2716,454,-1053) -> Matrix(3,2,-2,-1) Matrix(10229,-24222,2704,-6403) -> Matrix(3,-4,-2,3) Matrix(1601,-3794,430,-1019) -> Matrix(1,-2,0,1) Matrix(1395,-3362,578,-1393) -> Matrix(1,0,0,1) Matrix(2545,-6214,994,-2427) -> Matrix(17,-2,-8,1) Matrix(14723,-37708,4300,-11013) -> Matrix(1,2,34,69) Matrix(8305,-21276,2426,-6215) -> Matrix(1,2,-20,-39) Matrix(33859,-87362,13122,-33857) -> Matrix(1,0,0,1) Matrix(955,-2466,146,-377) -> Matrix(1,2,-4,-7) Matrix(7341,-18992,1940,-5019) -> Matrix(1,0,0,1) Matrix(2455,-6362,678,-1757) -> Matrix(3,4,-4,-5) Matrix(337,-882,128,-335) -> Matrix(15,16,-16,-17) Matrix(157,-422,16,-43) -> Matrix(3,2,4,3) Matrix(329,-890,78,-211) -> Matrix(3,2,-8,-5) Matrix(499,-1358,140,-381) -> Matrix(1,0,2,1) Matrix(401,-1106,62,-171) -> Matrix(1,0,0,1) Matrix(28029,-77530,7408,-20491) -> Matrix(17,10,-12,-7) Matrix(28489,-78812,7530,-20831) -> Matrix(17,10,-12,-7) Matrix(1291,-3698,450,-1289) -> Matrix(1,0,0,1) Matrix(309,-968,98,-307) -> Matrix(1,0,30,1) Matrix(703,-2256,110,-353) -> Matrix(7,-2,-10,3) Matrix(11001,-35398,2338,-7523) -> Matrix(1,0,-12,1) Matrix(20569,-66200,4372,-14071) -> Matrix(1,0,-12,1) Matrix(4051,-13348,878,-2893) -> Matrix(1,0,-6,1) Matrix(3671,-12106,796,-2625) -> Matrix(1,0,-6,1) Matrix(12005,-40658,2552,-8643) -> Matrix(1,-2,-8,17) Matrix(2585,-9248,722,-2583) -> Matrix(1,-18,0,1) Matrix(1119,-4042,214,-773) -> Matrix(5,6,4,5) Matrix(4551,-16562,1250,-4549) -> Matrix(1,0,0,1) Matrix(277,-1058,72,-275) -> Matrix(11,12,-12,-13) Matrix(1035,-4418,242,-1033) -> Matrix(1,0,0,1) Matrix(241,-1152,50,-239) -> Matrix(1,0,38,1) Matrix(201,-1250,32,-199) -> Matrix(7,8,-8,-9) 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): 105 Degree of the the map X: 105 Degree of the the map Y: 420 ----------------------------------------------------------------------- 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.