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): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 112 Genus: 137 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -1/1 -4/9 -3/7 -7/17 -5/13 -3/8 -1/3 -2/7 -3/11 -4/19 -1/5 -1/6 -1/7 -1/9 0/1 1/7 2/13 3/17 7/33 1/4 9/31 1/3 4/11 11/29 3/7 5/11 1/2 7/13 3/5 2/3 5/7 7/9 53/67 9/11 13/15 7/8 1/1 8/7 13/11 11/9 14/11 9/7 23/17 3/2 61/39 31/19 5/3 201/119 22/13 19/11 16/9 77/43 9/5 13/7 2/1 41/19 24/11 11/5 7/3 17/7 32/13 5/2 23/9 18/7 13/5 29/11 8/3 117/43 11/4 47/17 147/53 59/21 26/9 3/1 16/5 61/19 23/7 10/3 17/5 31/9 7/2 39/11 11/3 63/17 4/1 30/7 13/3 22/5 9/2 32/7 23/5 14/3 33/7 24/5 5/1 26/5 21/4 16/3 11/2 28/5 17/3 6/1 13/2 20/3 7/1 22/3 15/2 8/1 25/3 17/2 9/1 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 1/5 -7/15 1/5 -6/13 0/1 1/5 -11/24 1/5 2/9 -5/11 1/4 -9/20 1/5 1/4 -22/49 0/1 1/5 -13/29 1/5 -4/9 0/1 1/5 1/4 -19/43 1/5 -15/34 2/9 1/4 -11/25 1/4 -29/66 1/6 1/5 -18/41 1/5 2/9 -25/57 1/5 -7/16 2/9 1/4 -10/23 0/1 1/5 -3/7 1/4 -14/33 1/4 3/11 -11/26 0/1 -8/19 2/9 1/4 -21/50 1/4 5/19 -34/81 1/4 3/11 -47/112 2/7 -13/31 1/4 -31/74 3/10 1/3 -18/43 0/1 1/4 1/3 -23/55 1/3 -5/12 0/1 1/4 -22/53 1/4 1/3 -17/41 0/1 -12/29 1/5 1/4 -7/17 1/4 -16/39 0/1 1/5 -9/22 0/1 1/3 -20/49 1/4 1/3 -11/27 0/1 -13/32 0/1 1/4 -2/5 0/1 1/4 -11/28 0/1 1/5 -20/51 1/5 1/4 -9/23 1/4 -16/41 0/1 1/5 1/4 -23/59 1/6 1/4 -30/77 1/5 1/4 -7/18 1/4 1/3 -19/49 0/1 -12/31 1/5 1/4 -17/44 0/1 1/3 -5/13 0/1 -23/60 1/6 1/5 -41/107 1/4 -18/47 1/5 1/4 -31/81 1/5 -13/34 2/9 1/4 -8/21 0/1 1/5 -19/50 2/9 1/4 -11/29 1/4 -14/37 0/1 1/1 -17/45 1/6 1/4 -3/8 0/1 -13/35 1/6 -10/27 1/6 1/5 -7/19 1/6 1/4 -32/87 0/1 1/6 1/5 -25/68 3/16 1/5 -18/49 1/5 1/4 -11/30 0/1 1/4 -26/71 0/1 1/5 1/4 -15/41 1/4 -19/52 0/1 1/4 -4/11 0/1 1/5 -9/25 1/5 -14/39 1/5 2/9 1/4 -5/14 2/9 1/4 -6/17 0/1 1/4 -7/20 0/1 1/5 -8/23 1/5 2/9 1/4 -1/3 1/4 -7/22 2/7 -6/19 0/1 1/3 -5/16 1/5 1/4 -4/13 1/4 2/7 -11/36 2/7 -7/23 1/3 -10/33 0/1 1/5 -13/43 1/4 -3/10 0/1 1/4 -8/27 1/4 1/3 -21/71 2/7 -13/44 2/7 3/10 -18/61 1/3 2/5 -5/17 1/4 -17/58 2/7 1/3 -12/41 1/4 1/3 -7/24 0/1 1/3 -2/7 0/1 1/4 1/3 -9/32 0/1 1/3 -7/25 1/4 -19/68 2/9 1/4 -12/43 1/4 3/11 -5/18 2/7 1/3 -18/65 1/3 1/2 -31/112 0/1 1/3 -13/47 1/4 -8/29 1/4 3/11 -19/69 2/7 -11/40 3/10 1/3 -3/11 1/3 -10/37 0/1 1/3 -7/26 1/4 2/7 -18/67 1/4 1/3 -11/41 1/3 -15/56 0/1 1/3 -4/15 0/1 1/4 -9/34 2/7 -5/19 1/4 -16/61 1/4 2/7 1/3 -11/42 2/7 3/10 -6/23 3/10 1/3 -1/4 1/4 1/3 -5/21 0/1 -9/38 1/5 1/4 -4/17 0/1 1/3 -3/13 1/3 -11/48 1/3 3/8 -8/35 1/3 2/5 -5/22 0/1 1/3 -7/31 1/3 -2/9 0/1 1/3 -9/41 1/3 -16/73 1/3 2/5 -7/32 0/1 -12/55 1/3 2/5 -5/23 1/4 -13/60 2/7 3/10 -21/97 3/10 -8/37 5/16 1/3 -3/14 1/3 3/8 -7/33 1/2 -18/85 1/3 4/11 -11/52 1/3 2/5 -4/19 1/3 2/5 1/2 -5/24 4/9 1/2 -1/5 1/4 1/2 -3/16 0/1 1/1 -5/27 1/0 -7/38 -1/4 0/1 -2/11 0/1 1/4 -5/28 0/1 1/3 -3/17 1/2 -1/6 0/1 -4/25 1/4 1/3 -3/19 1/3 -5/32 0/1 1/3 -2/13 0/1 1/2 -7/46 0/1 1/1 -5/33 1/0 -3/20 -1/3 0/1 -4/27 0/1 1/11 -1/7 1/4 -1/8 0/1 1/4 -3/25 1/2 -2/17 0/1 1/3 1/2 -1/9 0/1 -2/19 1/4 1/3 -1/10 0/1 1/4 0/1 0/1 1/3 1/8 0/1 1/2 1/7 0/1 4/27 1/5 1/4 3/20 0/1 1/5 2/13 0/1 1/4 1/3 1/6 0/1 1/2 4/23 -1/1 0/1 3/17 0/1 2/11 0/1 1/5 3/16 2/9 1/4 1/5 1/2 5/24 -1/1 1/0 9/43 -1/2 1/0 4/19 -1/5 0/1 7/33 0/1 10/47 0/1 1/23 3/14 0/1 1/9 8/37 0/1 1/7 1/6 13/60 0/1 1/6 5/23 1/6 2/9 0/1 1/4 3/13 1/3 10/43 0/1 1/3 7/30 1/3 1/2 4/17 1/3 1/2 9/38 0/1 1/2 5/21 1/2 1/4 0/1 5/19 0/1 9/34 1/6 1/5 4/15 1/5 1/4 7/26 2/9 1/4 3/11 1/4 8/29 0/1 1/3 5/18 0/1 1/3 7/25 1/3 9/32 0/1 1/3 2/7 0/1 1/2 9/31 0/1 16/55 0/1 1/18 7/24 0/1 1/10 5/17 1/6 18/61 0/1 1/5 13/44 0/1 1/3 21/71 1/6 8/27 0/1 1/6 1/5 19/64 1/6 1/5 11/37 0/1 3/10 0/1 1/5 10/33 1/5 2/9 27/89 1/4 17/56 2/9 1/4 7/23 1/4 4/13 1/5 1/4 13/42 2/9 9/29 1/4 5/16 1/4 4/15 1/3 1/4 1/2 6/17 0/1 1/5 11/31 1/4 5/14 1/4 4/15 14/39 3/11 2/7 23/64 2/7 3/10 9/25 1/4 22/61 1/4 2/7 13/36 1/4 2/7 4/11 1/4 2/7 1/3 11/30 2/7 1/3 18/49 4/13 1/3 7/19 1/4 17/46 2/7 1/3 10/27 2/7 1/3 13/35 1/3 3/8 3/10 1/3 11/29 1/3 19/50 1/3 13/38 8/21 1/3 5/14 21/55 3/8 13/34 3/8 2/5 18/47 1/3 2/5 1/2 23/60 1/3 1/2 5/13 1/2 22/57 0/1 1/3 17/44 0/1 1/4 12/31 2/7 1/3 7/18 0/1 2/5 0/1 1/3 5/12 0/1 1/3 18/43 1/4 5/19 13/31 1/4 21/50 5/18 2/7 8/19 2/7 1/3 11/26 3/10 1/3 3/7 1/3 13/30 1/3 3/8 10/23 1/3 3/8 27/62 3/8 2/5 17/39 2/5 24/55 1/3 2/5 7/16 2/5 3/7 25/57 1/2 18/41 1/2 3/5 11/25 1/2 4/9 0/1 1/3 5/11 0/1 6/13 1/4 1/3 1/2 1/3 1/2 7/13 1/3 13/24 1/3 5/14 6/11 1/3 3/8 17/31 2/5 11/20 3/8 2/5 5/9 1/2 4/7 0/1 1/2 19/33 1/4 15/26 0/1 1/3 11/19 1/3 7/12 2/5 1/2 24/41 0/1 1/2 1/1 41/70 0/1 1/2 17/29 1/2 27/46 0/1 1/0 10/17 0/1 1/3 33/56 0/1 1/0 23/39 1/4 13/22 0/1 3/5 1/3 17/28 2/5 31/51 1/2 45/74 1/3 2/5 14/23 1/3 2/5 25/41 1/2 11/18 1/3 3/8 30/49 1/3 2/5 49/80 2/5 1/2 19/31 2/5 27/44 2/5 1/2 62/101 2/5 1/2 35/57 1/2 43/70 2/5 1/2 8/13 3/7 1/2 21/34 0/1 34/55 0/1 1/2 47/76 1/3 1/2 60/97 0/1 1/2 13/21 1/2 44/71 0/1 1/4 1/3 31/50 0/1 1/3 49/79 0/1 18/29 1/4 1/3 5/8 1/3 2/5 22/35 2/5 3/7 17/27 3/8 1/2 46/73 1/3 2/5 29/46 2/5 41/65 1/2 12/19 3/7 1/2 7/11 1/2 2/3 0/1 1/3 1/2 9/13 1/2 43/62 0/1 34/49 0/1 1/2 25/36 0/1 1/2 66/95 0/1 1/1 41/59 0/1 16/23 0/1 1/3 7/10 0/1 1/3 19/27 3/8 50/71 1/3 2/5 31/44 2/5 12/17 1/3 1/2 17/24 1/3 2/5 22/31 2/5 3/7 27/38 2/5 5/7 1/2 33/46 0/1 1/3 28/39 1/3 2/5 23/32 0/1 18/25 2/7 1/3 13/18 3/8 2/5 8/11 1/3 1/2 27/37 2/5 46/63 1/3 1/2 19/26 2/5 11/15 1/2 25/34 4/9 1/2 14/19 5/11 1/2 17/23 1/2 3/4 0/1 1/2 10/13 0/1 1/1 27/35 1/4 44/57 1/4 1/3 17/22 0/1 1/3 7/9 1/3 25/32 1/3 2/5 18/23 1/3 2/5 29/37 3/8 11/14 2/5 37/47 1/2 26/33 1/2 1/1 15/19 1/2 49/62 2/5 1/2 34/43 2/5 1/2 53/67 1/2 72/91 0/1 1/2 19/24 1/3 1/2 23/29 3/8 1/2 4/5 2/5 1/2 13/16 5/11 1/2 9/11 1/2 23/28 1/2 5/9 14/17 1/2 3/5 33/40 1/2 2/3 19/23 1/2 24/29 2/3 1/1 5/6 1/2 1/1 21/25 1/4 37/44 0/1 1/3 16/19 0/1 1/3 1/2 27/32 0/1 1/2 11/13 0/1 6/7 0/1 1/3 19/22 1/3 2/5 13/15 1/2 20/23 1/3 4/11 7/8 2/5 22/25 1/3 1/2 15/17 2/5 8/9 3/7 1/2 1/1 1/2 10/9 1/2 7/13 9/8 3/5 2/3 8/7 1/2 2/3 1/1 23/20 1/2 1/1 15/13 1/2 3/4 7/6 0/1 1/1 13/11 1/1 6/5 0/1 1/2 17/14 2/5 1/2 11/9 1/2 27/22 1/2 4/7 16/13 1/2 3/5 37/30 3/5 2/3 21/17 1/2 26/21 1/2 3/5 5/4 1/2 2/3 24/19 6/7 1/1 19/15 1/0 33/26 2/5 1/2 14/11 1/2 2/3 1/1 37/29 1/2 97/76 7/11 2/3 60/47 2/3 5/7 23/18 2/3 1/1 9/7 1/1 22/17 0/1 1/1 35/27 1/2 13/10 0/1 1/1 4/3 0/1 1/1 23/17 0/1 42/31 0/1 1/3 19/14 0/1 1/2 53/39 1/2 34/25 1/2 1/1 15/11 1/2 41/30 0/1 1/0 67/49 1/2 160/117 0/1 1/1 93/68 0/1 1/1 26/19 0/1 1/2 1/1 11/8 0/1 1/2 29/21 1/1 76/55 1/1 1/0 47/34 0/1 1/1 18/13 1/2 1/1 43/31 3/4 68/49 10/11 1/1 93/67 1/1 25/18 1/1 3/2 7/5 1/2 1/0 45/32 1/2 1/1 38/27 0/1 1/2 1/1 31/22 2/3 1/1 86/61 1/1 4/3 55/39 1/0 24/17 0/1 1/1 41/29 0/1 17/12 1/2 1/1 27/19 1/2 37/26 4/5 1/1 10/7 1/1 1/0 33/23 0/1 89/62 0/1 1/2 56/39 0/1 1/2 1/1 23/16 0/1 1/1 59/41 1/1 36/25 1/1 1/0 49/34 1/2 1/1 13/9 1/0 29/20 0/1 1/4 16/11 0/1 1/1 19/13 1/1 22/15 0/1 1/1 3/2 0/1 26/17 0/1 1/3 23/15 1/2 20/13 1/3 1/2 37/24 0/1 1/2 17/11 1/2 1/0 48/31 0/1 1/1 31/20 1/1 1/0 45/29 -1/2 14/9 0/1 1/5 39/25 1/3 25/16 0/1 1/3 61/39 1/3 97/62 1/3 2/5 36/23 1/3 1/2 47/30 1/3 1/2 58/37 0/1 1/3 1/2 11/7 1/2 8/5 0/1 1/1 37/23 0/1 66/41 0/1 1/7 29/18 0/1 1/4 21/13 1/4 76/47 1/3 6/17 55/34 2/5 1/2 34/21 1/3 2/5 1/2 13/8 1/2 2/3 44/27 1/2 2/3 75/46 2/3 1/1 31/19 1/1 80/49 1/1 1/0 129/79 0/1 49/30 0/1 1/1 18/11 1/2 1/1 23/14 1/1 1/0 5/3 0/1 27/16 1/3 1/2 76/45 0/1 1/3 201/119 1/3 125/74 1/3 2/5 49/29 1/2 71/42 0/1 1/2 22/13 0/1 1/3 1/2 61/36 0/1 1/5 100/59 0/1 1/3 39/23 1/2 17/10 0/1 1/3 12/7 1/2 1/1 31/18 0/1 1/0 50/29 0/1 1/1 119/69 1/2 1/0 69/40 1/2 1/1 19/11 0/1 64/37 1/4 1/3 109/63 1/4 45/26 0/1 1/4 26/15 0/1 1/3 7/4 1/3 1/2 23/13 1/2 1/0 39/22 1/2 4/7 16/9 0/1 1/2 1/1 41/23 1/1 25/14 0/1 1/1 59/33 1/0 34/19 -1/1 0/1 77/43 0/1 120/67 0/1 1/11 43/24 0/1 1/5 52/29 0/1 1/3 9/5 1/2 38/21 1/2 1/1 29/16 0/1 20/11 1/2 1/1 51/28 0/1 1/1 31/17 0/1 42/23 0/1 1/3 1/2 11/6 0/1 1/1 24/13 0/1 1/1 13/7 0/1 28/15 0/1 1/3 15/8 0/1 1/3 2/1 0/1 1/2 15/7 1/2 28/13 0/1 1/1 41/19 0/1 13/6 0/1 1/2 24/11 0/1 1/2 1/1 59/27 1/0 35/16 1/3 1/2 11/5 0/1 31/14 0/1 20/9 1/3 1/2 49/22 0/1 1/2 78/35 1/3 1/2 29/13 1/2 38/17 0/1 1/2 1/1 47/21 1/2 1/0 56/25 0/1 1/1 9/4 0/1 1/3 34/15 1/2 1/1 59/26 0/1 84/37 0/1 1/3 25/11 1/4 1/2 41/18 4/9 1/2 98/43 1/2 9/17 57/25 1/2 16/7 0/1 1/1 23/10 0/1 1/2 7/3 1/2 33/14 1/2 2/3 59/25 1/2 85/36 2/3 1/1 111/47 1/2 26/11 2/3 1/1 71/30 0/1 1/2 45/19 1/1 19/8 0/1 1/1 31/13 1/4 1/2 74/31 0/1 1/3 1/2 43/18 4/9 1/2 98/41 1/2 11/21 55/23 1/2 12/5 1/2 1/1 41/17 1/2 29/12 0/1 1/1 46/19 0/1 1/1 1/0 63/26 0/1 1/0 17/7 0/1 56/23 0/1 1/3 39/16 0/1 22/9 1/3 1/2 27/11 1/2 59/24 1/2 1/1 32/13 0/1 1/2 1/1 37/15 1/2 5/2 0/1 1/2 33/13 1/4 28/11 0/1 1/3 51/20 0/1 1/4 23/9 1/3 41/16 1/3 2/5 18/7 0/1 1/3 1/2 67/26 0/1 1/1 116/45 0/1 1/3 49/19 1/4 1/2 31/12 1/3 3/8 44/17 1/3 1/2 101/39 1/3 57/22 1/3 2/5 13/5 1/2 60/23 2/5 1/2 167/64 2/5 1/2 107/41 1/2 47/18 2/5 128/49 1/3 1/2 81/31 2/5 115/44 2/5 3/7 34/13 3/7 1/2 89/34 3/7 1/2 233/89 1/2 377/144 2/5 3/7 521/199 3/7 144/55 3/7 4/9 55/21 7/16 1/2 21/8 5/11 1/2 29/11 1/2 37/14 1/2 9/17 8/3 1/2 2/3 19/7 1/2 68/25 4/5 1/1 117/43 1/1 166/61 1/1 8/7 49/18 1/1 2/1 30/11 0/1 1/1 41/15 1/1 11/4 0/1 58/21 0/1 1/3 47/17 0/1 36/13 1/4 1/3 61/22 5/16 1/3 147/53 1/3 86/31 1/3 8/23 25/9 1/2 39/14 1/3 2/5 14/5 3/7 1/2 59/21 1/2 104/37 1/2 23/45 45/16 1/2 10/19 31/11 1/2 48/17 1/2 3/5 2/3 17/6 2/3 1/1 20/7 0/1 1/1 23/8 0/1 1/4 26/9 0/1 1/3 1/2 29/10 0/1 1/3 3/1 1/2 22/7 1/1 1/0 41/13 1/0 60/19 0/1 1/1 19/6 0/1 16/5 3/7 1/2 61/19 1/2 106/33 1/2 27/53 45/14 1/2 12/23 29/9 1/2 71/22 5/9 4/7 42/13 1/2 4/7 3/5 13/4 3/5 2/3 62/19 2/3 1/1 49/15 2/3 85/26 2/3 3/4 36/11 3/4 1/1 95/29 3/4 5/6 154/47 4/5 1/1 59/18 3/4 1/1 23/7 1/1 10/3 0/1 1/1 17/5 1/2 24/7 3/7 1/2 31/9 1/2 38/11 1/2 7/13 7/2 1/2 2/3 39/11 2/3 32/9 2/3 1/1 89/25 1/2 57/16 2/3 3/4 25/7 1/1 18/5 2/3 1/1 65/18 5/6 1/1 47/13 1/1 29/8 1/1 1/0 40/11 1/2 1/1 91/25 1/0 51/14 0/1 62/17 0/1 1/1 73/20 -1/1 0/1 11/3 1/2 37/10 2/5 1/2 63/17 1/2 26/7 1/2 3/5 93/25 1/2 67/18 2/3 41/11 1/2 3/4 97/26 1/2 1/1 56/15 1/2 2/3 15/4 1/2 2/3 4/1 0/1 1/2 1/1 17/4 1/2 2/3 81/19 2/3 64/15 2/3 1/1 47/11 3/4 30/7 0/1 1/1 43/10 2/3 1/1 13/3 1/1 48/11 1/2 1/1 83/19 1/2 35/8 1/2 1/1 22/5 0/1 1/1 75/17 1/2 128/29 0/1 1/2 53/12 0/1 84/19 1/3 2/5 31/7 1/2 40/9 1/3 1/2 9/2 1/2 1/1 32/7 2/3 1/1 55/12 0/1 1/1 23/5 1/2 3/4 14/3 3/4 1/1 33/7 1/1 52/11 1/1 7/6 19/4 1/1 2/1 24/5 1/1 1/0 29/6 0/1 34/7 0/1 1/1 5/1 1/2 26/5 1/1 1/0 21/4 0/1 16/3 1/2 3/5 11/2 2/3 1/1 28/5 5/6 1/1 17/3 1/1 40/7 1/1 5/4 23/4 1/1 2/1 6/1 0/1 1/1 13/2 0/1 46/7 0/1 1/3 33/5 1/2 20/3 2/3 1/1 7/1 1/1 22/3 1/1 2/1 1/0 37/5 1/0 15/2 0/1 1/1 8/1 0/1 1/2 25/3 1/2 1/0 17/2 0/1 1/2 9/1 1/1 1/0 0/1 1/1 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(149,70,530,249) (-1/2,-7/15) -> (7/25,9/32) Hyperbolic Matrix(147,68,-668,-309) (-7/15,-6/13) -> (-2/9,-9/41) Hyperbolic Matrix(443,204,76,35) (-6/13,-11/24) -> (23/4,6/1) Hyperbolic Matrix(1029,470,370,169) (-11/24,-5/11) -> (25/9,39/14) Hyperbolic Matrix(727,328,512,231) (-5/11,-9/20) -> (17/12,27/19) Hyperbolic Matrix(725,326,874,393) (-9/20,-22/49) -> (24/29,5/6) Hyperbolic Matrix(437,196,1884,845) (-22/49,-13/29) -> (3/13,10/43) Hyperbolic Matrix(287,128,-648,-289) (-13/29,-4/9) -> (-4/9,-19/43) Parabolic Matrix(4583,2024,1936,855) (-19/43,-15/34) -> (71/30,45/19) Hyperbolic Matrix(999,440,1360,599) (-15/34,-11/25) -> (11/15,25/34) Hyperbolic Matrix(3281,1442,-8562,-3763) (-11/25,-29/66) -> (-23/60,-41/107) Hyperbolic Matrix(3853,1692,1068,469) (-29/66,-18/41) -> (18/5,65/18) Hyperbolic Matrix(1281,562,-5842,-2563) (-18/41,-25/57) -> (-9/41,-16/73) Hyperbolic Matrix(3275,1436,1284,563) (-25/57,-7/16) -> (51/20,23/9) Hyperbolic Matrix(565,246,-1486,-647) (-7/16,-10/23) -> (-8/21,-19/50) Hyperbolic Matrix(281,122,638,277) (-10/23,-3/7) -> (11/25,4/9) Hyperbolic Matrix(555,236,1324,563) (-3/7,-14/33) -> (18/43,13/31) Hyperbolic Matrix(1109,470,210,89) (-14/33,-11/26) -> (21/4,16/3) Hyperbolic Matrix(275,116,-1036,-437) (-11/26,-8/19) -> (-4/15,-9/34) Hyperbolic Matrix(1103,464,416,175) (-8/19,-21/50) -> (37/14,8/3) Hyperbolic Matrix(2067,868,-5308,-2229) (-21/50,-34/81) -> (-30/77,-7/18) Hyperbolic Matrix(3031,1272,3448,1447) (-34/81,-47/112) -> (7/8,22/25) Hyperbolic Matrix(2341,982,3378,1417) (-47/112,-13/31) -> (9/13,43/62) Hyperbolic Matrix(2481,1040,1720,721) (-13/31,-31/74) -> (49/34,13/9) Hyperbolic Matrix(3443,1442,-9362,-3921) (-31/74,-18/43) -> (-32/87,-25/68) Hyperbolic Matrix(1511,632,208,87) (-18/43,-23/55) -> (7/1,22/3) Hyperbolic Matrix(3435,1436,964,403) (-23/55,-5/12) -> (57/16,25/7) Hyperbolic Matrix(1917,796,2324,965) (-5/12,-22/53) -> (14/17,33/40) Hyperbolic Matrix(3967,1646,1434,595) (-22/53,-17/41) -> (47/17,36/13) Hyperbolic Matrix(1367,566,954,395) (-17/41,-12/29) -> (10/7,33/23) Hyperbolic Matrix(271,112,888,367) (-12/29,-7/17) -> (7/23,4/13) Hyperbolic Matrix(677,278,-2238,-919) (-7/17,-16/39) -> (-10/33,-13/43) Hyperbolic Matrix(679,278,1082,443) (-16/39,-9/22) -> (5/8,22/35) Hyperbolic Matrix(2165,884,1756,717) (-9/22,-20/49) -> (16/13,37/30) Hyperbolic Matrix(2565,1046,3514,1433) (-20/49,-11/27) -> (27/37,46/63) Hyperbolic Matrix(1081,440,1280,521) (-11/27,-13/32) -> (27/32,11/13) Hyperbolic Matrix(1213,492,1748,709) (-13/32,-2/5) -> (34/49,25/36) Hyperbolic Matrix(131,52,68,27) (-2/5,-11/28) -> (15/8,2/1) Hyperbolic Matrix(265,104,1776,697) (-11/28,-20/51) -> (4/27,3/20) Hyperbolic Matrix(2367,928,3752,1471) (-20/51,-9/23) -> (41/65,12/19) Hyperbolic Matrix(1839,718,1442,563) (-9/23,-16/41) -> (14/11,37/29) Hyperbolic Matrix(5637,2198,2362,921) (-16/41,-23/59) -> (31/13,74/31) Hyperbolic Matrix(9439,3678,2882,1123) (-23/59,-30/77) -> (36/11,95/29) Hyperbolic Matrix(1571,610,1110,431) (-7/18,-19/49) -> (41/29,17/12) Hyperbolic Matrix(1043,404,-3524,-1365) (-19/49,-12/31) -> (-8/27,-21/71) Hyperbolic Matrix(1825,706,654,253) (-12/31,-17/44) -> (39/14,14/5) Hyperbolic Matrix(523,202,1758,679) (-17/44,-5/13) -> (11/37,3/10) Hyperbolic Matrix(907,348,3052,1171) (-5/13,-23/60) -> (19/64,11/37) Hyperbolic Matrix(4281,1640,1360,521) (-41/107,-18/47) -> (22/7,41/13) Hyperbolic Matrix(7519,2878,5442,2083) (-18/47,-31/81) -> (29/21,76/55) Hyperbolic Matrix(1683,644,196,75) (-31/81,-13/34) -> (17/2,9/1) Hyperbolic Matrix(131,50,710,271) (-13/34,-8/21) -> (2/11,3/16) Hyperbolic Matrix(901,342,-3222,-1223) (-19/50,-11/29) -> (-7/25,-19/68) Hyperbolic Matrix(1289,488,1672,633) (-11/29,-14/37) -> (10/13,27/35) Hyperbolic Matrix(513,194,2446,925) (-14/37,-17/45) -> (9/43,4/19) Hyperbolic Matrix(3343,1262,898,339) (-17/45,-3/8) -> (67/18,41/11) Hyperbolic Matrix(639,238,1082,403) (-3/8,-13/35) -> (23/39,13/22) Hyperbolic Matrix(1527,566,634,235) (-13/35,-10/27) -> (12/5,41/17) Hyperbolic Matrix(887,328,192,71) (-10/27,-7/19) -> (23/5,14/3) Hyperbolic Matrix(4811,1770,2150,791) (-7/19,-32/87) -> (38/17,47/21) Hyperbolic Matrix(5437,1998,1962,721) (-25/68,-18/49) -> (36/13,61/22) Hyperbolic Matrix(883,324,-3284,-1205) (-18/49,-11/30) -> (-7/26,-18/67) Hyperbolic Matrix(2397,878,2842,1041) (-11/30,-26/71) -> (16/19,27/32) Hyperbolic Matrix(1011,370,-3850,-1409) (-26/71,-15/41) -> (-5/19,-16/61) Hyperbolic Matrix(629,230,2650,969) (-15/41,-19/52) -> (9/38,5/21) Hyperbolic Matrix(2393,874,1766,645) (-19/52,-4/11) -> (42/31,19/14) Hyperbolic Matrix(127,46,-566,-205) (-4/11,-9/25) -> (-7/31,-2/9) Hyperbolic Matrix(1999,718,1122,403) (-9/25,-14/39) -> (16/9,41/23) Hyperbolic Matrix(2621,940,1620,581) (-14/39,-5/14) -> (55/34,34/21) Hyperbolic Matrix(373,132,308,109) (-5/14,-6/17) -> (6/5,17/14) Hyperbolic Matrix(125,44,-804,-283) (-6/17,-7/20) -> (-5/32,-2/13) Hyperbolic Matrix(1473,514,1046,365) (-7/20,-8/23) -> (38/27,31/22) Hyperbolic Matrix(857,296,304,105) (-8/23,-1/3) -> (31/11,48/17) Hyperbolic Matrix(237,76,764,245) (-1/3,-7/22) -> (13/42,9/29) Hyperbolic Matrix(1053,334,1466,465) (-7/22,-6/19) -> (28/39,23/32) Hyperbolic Matrix(235,74,-994,-313) (-6/19,-5/16) -> (-9/38,-4/17) Hyperbolic Matrix(233,72,288,89) (-5/16,-4/13) -> (4/5,13/16) Hyperbolic Matrix(1497,458,2422,741) (-4/13,-11/36) -> (21/34,34/55) Hyperbolic Matrix(1729,528,632,193) (-11/36,-7/23) -> (41/15,11/4) Hyperbolic Matrix(1609,488,1032,313) (-7/23,-10/33) -> (14/9,39/25) Hyperbolic Matrix(801,242,2638,797) (-13/43,-3/10) -> (17/56,7/23) Hyperbolic Matrix(229,68,852,253) (-3/10,-8/27) -> (4/15,7/26) Hyperbolic Matrix(4315,1276,7044,2083) (-21/71,-13/44) -> (49/80,19/31) Hyperbolic Matrix(6699,1978,4142,1223) (-13/44,-18/61) -> (76/47,55/34) Hyperbolic Matrix(1133,334,1306,385) (-18/61,-5/17) -> (13/15,20/23) Hyperbolic Matrix(3847,1128,2152,631) (-5/17,-17/58) -> (25/14,59/33) Hyperbolic Matrix(6335,1856,4584,1343) (-17/58,-12/41) -> (76/55,47/34) Hyperbolic Matrix(1355,396,284,83) (-12/41,-7/24) -> (19/4,24/5) Hyperbolic Matrix(111,32,-392,-113) (-7/24,-2/7) -> (-2/7,-9/32) Parabolic Matrix(1445,406,1114,313) (-9/32,-7/25) -> (35/27,13/10) Hyperbolic Matrix(2885,806,834,233) (-19/68,-12/43) -> (38/11,7/2) Hyperbolic Matrix(999,278,442,123) (-12/43,-5/18) -> (9/4,34/15) Hyperbolic Matrix(2215,614,386,107) (-5/18,-18/65) -> (40/7,23/4) Hyperbolic Matrix(11283,3124,4316,1195) (-18/65,-31/112) -> (115/44,34/13) Hyperbolic Matrix(4091,1132,4868,1347) (-31/112,-13/47) -> (21/25,37/44) Hyperbolic Matrix(1657,458,2102,581) (-13/47,-8/29) -> (26/33,15/19) Hyperbolic Matrix(4967,1368,2872,791) (-8/29,-19/69) -> (19/11,64/37) Hyperbolic Matrix(5521,1520,3200,881) (-19/69,-11/40) -> (69/40,19/11) Hyperbolic Matrix(553,152,1488,409) (-11/40,-3/11) -> (13/35,3/8) Hyperbolic Matrix(879,238,602,163) (-3/11,-10/37) -> (16/11,19/13) Hyperbolic Matrix(549,148,1532,413) (-10/37,-7/26) -> (5/14,14/39) Hyperbolic Matrix(5357,1438,3282,881) (-18/67,-11/41) -> (31/19,80/49) Hyperbolic Matrix(4811,1290,2950,791) (-11/41,-15/56) -> (75/46,31/19) Hyperbolic Matrix(217,58,-1418,-379) (-15/56,-4/15) -> (-2/13,-7/46) Hyperbolic Matrix(1195,316,1524,403) (-9/34,-5/19) -> (29/37,11/14) Hyperbolic Matrix(2495,654,866,227) (-16/61,-11/42) -> (23/8,26/9) Hyperbolic Matrix(107,28,-1028,-269) (-11/42,-6/23) -> (-2/19,-1/10) Hyperbolic Matrix(323,84,596,155) (-6/23,-1/4) -> (13/24,6/11) Hyperbolic Matrix(209,50,790,189) (-1/4,-5/21) -> (5/19,9/34) Hyperbolic Matrix(1153,274,526,125) (-5/21,-9/38) -> (35/16,11/5) Hyperbolic Matrix(521,122,158,37) (-4/17,-3/13) -> (23/7,10/3) Hyperbolic Matrix(1871,430,570,131) (-3/13,-11/48) -> (59/18,23/7) Hyperbolic Matrix(725,166,3114,713) (-11/48,-8/35) -> (10/43,7/30) Hyperbolic Matrix(1035,236,364,83) (-8/35,-5/22) -> (17/6,20/7) Hyperbolic Matrix(929,210,1190,269) (-5/22,-7/31) -> (7/9,25/32) Hyperbolic Matrix(6557,1436,1484,325) (-16/73,-7/32) -> (53/12,84/19) Hyperbolic Matrix(1025,224,1176,257) (-7/32,-12/55) -> (20/23,7/8) Hyperbolic Matrix(3275,714,766,167) (-12/55,-5/23) -> (47/11,30/7) Hyperbolic Matrix(203,44,-1684,-365) (-5/23,-13/60) -> (-1/8,-3/25) Hyperbolic Matrix(3269,708,10772,2333) (-13/60,-21/97) -> (27/89,17/56) Hyperbolic Matrix(7247,1568,1992,431) (-21/97,-8/37) -> (40/11,91/25) Hyperbolic Matrix(815,176,2144,463) (-8/37,-3/14) -> (19/50,8/21) Hyperbolic Matrix(713,152,1168,249) (-3/14,-7/33) -> (25/41,11/18) Hyperbolic Matrix(7513,1592,5328,1129) (-7/33,-18/85) -> (86/61,55/39) Hyperbolic Matrix(4261,902,5938,1257) (-18/85,-11/52) -> (33/46,28/39) Hyperbolic Matrix(3349,708,2332,493) (-11/52,-4/19) -> (56/39,23/16) Hyperbolic Matrix(709,148,1212,253) (-4/19,-5/24) -> (7/12,24/41) Hyperbolic Matrix(805,166,354,73) (-5/24,-1/5) -> (25/11,41/18) Hyperbolic Matrix(591,112,248,47) (-1/5,-3/16) -> (19/8,31/13) Hyperbolic Matrix(1083,202,638,119) (-3/16,-5/27) -> (39/23,17/10) Hyperbolic Matrix(1765,326,2994,553) (-5/27,-7/38) -> (33/56,23/39) Hyperbolic Matrix(685,126,2354,433) (-7/38,-2/11) -> (16/55,7/24) Hyperbolic Matrix(389,70,50,9) (-2/11,-5/28) -> (15/2,8/1) Hyperbolic Matrix(485,86,1314,233) (-5/28,-3/17) -> (7/19,17/46) Hyperbolic Matrix(389,68,532,93) (-3/17,-1/6) -> (19/26,11/15) Hyperbolic Matrix(953,154,526,85) (-1/6,-4/25) -> (38/21,29/16) Hyperbolic Matrix(1237,196,284,45) (-4/25,-3/19) -> (13/3,48/11) Hyperbolic Matrix(1233,194,286,45) (-3/19,-5/32) -> (43/10,13/3) Hyperbolic Matrix(1319,200,1840,279) (-7/46,-5/33) -> (5/7,33/46) Hyperbolic Matrix(849,128,2872,433) (-5/33,-3/20) -> (13/44,21/71) Hyperbolic Matrix(281,42,1318,197) (-3/20,-4/27) -> (10/47,3/14) Hyperbolic Matrix(1313,194,846,125) (-4/27,-1/7) -> (45/29,14/9) Hyperbolic Matrix(371,50,230,31) (-1/7,-1/8) -> (29/18,21/13) Hyperbolic Matrix(1637,196,1044,125) (-3/25,-2/17) -> (58/37,11/7) Hyperbolic Matrix(905,104,496,57) (-2/17,-1/9) -> (31/17,42/23) Hyperbolic Matrix(2691,290,1030,111) (-1/9,-2/19) -> (128/49,81/31) Hyperbolic Matrix(349,30,570,49) (-1/10,0/1) -> (30/49,49/80) Hyperbolic Matrix(431,-50,250,-29) (0/1,1/8) -> (31/18,50/29) Hyperbolic Matrix(213,-28,388,-51) (1/8,1/7) -> (17/31,11/20) Hyperbolic Matrix(4043,-596,2476,-365) (1/7,4/27) -> (80/49,129/79) Hyperbolic Matrix(1181,-178,418,-63) (3/20,2/13) -> (48/17,17/6) Hyperbolic Matrix(277,-44,724,-115) (2/13,1/6) -> (13/34,18/47) Hyperbolic Matrix(613,-106,1706,-295) (1/6,4/23) -> (14/39,23/64) Hyperbolic Matrix(1973,-346,1226,-215) (4/23,3/17) -> (37/23,66/41) Hyperbolic Matrix(543,-98,338,-61) (3/17,2/11) -> (8/5,37/23) Hyperbolic Matrix(469,-90,370,-71) (3/16,1/5) -> (19/15,33/26) Hyperbolic Matrix(529,-110,630,-131) (1/5,5/24) -> (5/6,21/25) Hyperbolic Matrix(5823,-1216,3376,-705) (5/24,9/43) -> (119/69,69/40) Hyperbolic Matrix(463,-98,2178,-461) (4/19,7/33) -> (7/33,10/47) Parabolic Matrix(2565,-554,1514,-327) (3/14,8/37) -> (22/13,61/36) Hyperbolic Matrix(3947,-854,2334,-505) (8/37,13/60) -> (71/42,22/13) Hyperbolic Matrix(3089,-670,5030,-1091) (13/60,5/23) -> (35/57,43/70) Hyperbolic Matrix(263,-58,458,-101) (5/23,2/9) -> (4/7,19/33) Hyperbolic Matrix(195,-44,164,-37) (2/9,3/13) -> (13/11,6/5) Hyperbolic Matrix(1879,-440,1200,-281) (7/30,4/17) -> (36/23,47/30) Hyperbolic Matrix(1035,-244,1684,-397) (4/17,9/38) -> (43/70,8/13) Hyperbolic Matrix(773,-186,1226,-295) (5/21,1/4) -> (29/46,41/65) Hyperbolic Matrix(633,-166,286,-75) (1/4,5/19) -> (11/5,31/14) Hyperbolic Matrix(1959,-520,1360,-361) (9/34,4/15) -> (36/25,49/34) Hyperbolic Matrix(693,-188,188,-51) (7/26,3/11) -> (11/3,37/10) Hyperbolic Matrix(879,-242,1442,-397) (3/11,8/29) -> (14/23,25/41) Hyperbolic Matrix(751,-208,408,-113) (8/29,5/18) -> (11/6,24/13) Hyperbolic Matrix(1439,-402,562,-157) (5/18,7/25) -> (23/9,41/16) Hyperbolic Matrix(1933,-546,1186,-335) (9/32,2/7) -> (44/27,75/46) Hyperbolic Matrix(559,-162,1922,-557) (2/7,9/31) -> (9/31,16/55) Parabolic Matrix(805,-236,556,-163) (7/24,5/17) -> (13/9,29/20) Hyperbolic Matrix(3955,-1166,926,-273) (5/17,18/61) -> (64/15,47/11) Hyperbolic Matrix(3521,-1040,1080,-319) (18/61,13/44) -> (13/4,62/19) Hyperbolic Matrix(3271,-968,1328,-393) (21/71,8/27) -> (32/13,37/15) Hyperbolic Matrix(3641,-1080,1480,-439) (8/27,19/64) -> (59/24,32/13) Hyperbolic Matrix(1719,-520,400,-121) (3/10,10/33) -> (30/7,43/10) Hyperbolic Matrix(16451,-4990,12030,-3649) (10/33,27/89) -> (67/49,160/117) Hyperbolic Matrix(5987,-1852,2292,-709) (4/13,13/42) -> (47/18,128/49) Hyperbolic Matrix(1769,-550,550,-171) (9/29,5/16) -> (45/14,29/9) Hyperbolic Matrix(485,-154,274,-87) (5/16,1/3) -> (23/13,39/22) Hyperbolic Matrix(355,-124,564,-197) (1/3,6/17) -> (22/35,17/27) Hyperbolic Matrix(1181,-418,178,-63) (6/17,11/31) -> (33/5,20/3) Hyperbolic Matrix(1829,-650,650,-231) (11/31,5/14) -> (45/16,31/11) Hyperbolic Matrix(7121,-2560,2000,-719) (23/64,9/25) -> (89/25,57/16) Hyperbolic Matrix(2293,-826,3706,-1335) (9/25,22/61) -> (60/97,13/21) Hyperbolic Matrix(3879,-1400,6320,-2281) (22/61,13/36) -> (27/44,62/101) Hyperbolic Matrix(2349,-850,970,-351) (13/36,4/11) -> (46/19,63/26) Hyperbolic Matrix(1699,-622,702,-257) (4/11,11/30) -> (29/12,46/19) Hyperbolic Matrix(1111,-408,1288,-473) (11/30,18/49) -> (6/7,19/22) Hyperbolic Matrix(2223,-818,818,-301) (18/49,7/19) -> (19/7,68/25) Hyperbolic Matrix(1693,-626,906,-335) (17/46,10/27) -> (28/15,15/8) Hyperbolic Matrix(1283,-476,876,-325) (10/27,13/35) -> (19/13,22/15) Hyperbolic Matrix(639,-242,1682,-637) (3/8,11/29) -> (11/29,19/50) Parabolic Matrix(1273,-486,406,-155) (8/21,21/55) -> (3/1,22/7) Hyperbolic Matrix(3821,-1460,1620,-619) (21/55,13/34) -> (33/14,59/25) Hyperbolic Matrix(4395,-1684,3124,-1197) (18/47,23/60) -> (45/32,38/27) Hyperbolic Matrix(5435,-2084,1244,-477) (23/60,5/13) -> (83/19,35/8) Hyperbolic Matrix(3523,-1358,2078,-801) (5/13,22/57) -> (100/59,39/23) Hyperbolic Matrix(4329,-1672,6232,-2407) (22/57,17/44) -> (25/36,66/95) Hyperbolic Matrix(3345,-1294,1414,-547) (17/44,12/31) -> (26/11,71/30) Hyperbolic Matrix(1037,-402,1442,-559) (12/31,7/18) -> (23/32,18/25) Hyperbolic Matrix(173,-68,28,-11) (7/18,2/5) -> (6/1,13/2) Hyperbolic Matrix(113,-46,86,-35) (2/5,5/12) -> (13/10,4/3) Hyperbolic Matrix(507,-212,452,-189) (5/12,18/43) -> (10/9,9/8) Hyperbolic Matrix(4621,-1940,3380,-1419) (13/31,21/50) -> (41/30,67/49) Hyperbolic Matrix(1127,-474,1914,-805) (21/50,8/19) -> (10/17,33/56) Hyperbolic Matrix(1237,-522,282,-119) (8/19,11/26) -> (35/8,22/5) Hyperbolic Matrix(169,-72,392,-167) (11/26,3/7) -> (3/7,13/30) Parabolic Matrix(3067,-1332,1172,-509) (13/30,10/23) -> (34/13,89/34) Hyperbolic Matrix(5963,-2596,2676,-1165) (10/23,27/62) -> (49/22,78/35) Hyperbolic Matrix(5517,-2404,3844,-1675) (27/62,17/39) -> (33/23,89/62) Hyperbolic Matrix(4847,-2114,1754,-765) (17/39,24/55) -> (58/21,47/17) Hyperbolic Matrix(4955,-2164,2924,-1277) (24/55,7/16) -> (61/36,100/59) Hyperbolic Matrix(1447,-634,194,-85) (7/16,25/57) -> (37/5,15/2) Hyperbolic Matrix(7841,-3440,3280,-1439) (25/57,18/41) -> (98/41,55/23) Hyperbolic Matrix(2167,-952,2752,-1209) (18/41,11/25) -> (37/47,26/33) Hyperbolic Matrix(165,-74,194,-87) (4/9,5/11) -> (11/13,6/7) Hyperbolic Matrix(439,-202,602,-277) (5/11,6/13) -> (8/11,27/37) Hyperbolic Matrix(491,-230,190,-89) (6/13,1/2) -> (31/12,44/17) Hyperbolic Matrix(471,-250,130,-69) (1/2,7/13) -> (47/13,29/8) Hyperbolic Matrix(1973,-1066,546,-295) (7/13,13/24) -> (65/18,47/13) Hyperbolic Matrix(413,-226,466,-255) (6/11,17/31) -> (15/17,8/9) Hyperbolic Matrix(669,-370,490,-271) (11/20,5/9) -> (15/11,41/30) Hyperbolic Matrix(205,-116,76,-43) (5/9,4/7) -> (8/3,19/7) Hyperbolic Matrix(965,-556,1116,-643) (19/33,15/26) -> (19/22,13/15) Hyperbolic Matrix(253,-146,26,-15) (15/26,11/19) -> (9/1,1/0) Hyperbolic Matrix(557,-324,404,-235) (11/19,7/12) -> (11/8,29/21) Hyperbolic Matrix(7569,-4432,5272,-3087) (24/41,41/70) -> (89/62,56/39) Hyperbolic Matrix(2471,-1448,3128,-1833) (41/70,17/29) -> (15/19,49/62) Hyperbolic Matrix(1663,-976,656,-385) (17/29,27/46) -> (5/2,33/13) Hyperbolic Matrix(3529,-2072,2192,-1287) (27/46,10/17) -> (66/41,29/18) Hyperbolic Matrix(151,-90,250,-149) (13/22,3/5) -> (3/5,17/28) Parabolic Matrix(6021,-3658,1618,-983) (17/28,31/51) -> (93/25,67/18) Hyperbolic Matrix(10001,-6080,5920,-3599) (31/51,45/74) -> (125/74,49/29) Hyperbolic Matrix(13979,-8502,10222,-6217) (45/74,14/23) -> (160/117,93/68) Hyperbolic Matrix(2383,-1458,1538,-941) (11/18,30/49) -> (48/31,31/20) Hyperbolic Matrix(1933,-1186,546,-335) (19/31,27/44) -> (7/2,39/11) Hyperbolic Matrix(14871,-9130,3370,-2069) (62/101,35/57) -> (75/17,128/29) Hyperbolic Matrix(791,-488,248,-153) (8/13,21/34) -> (19/6,16/5) Hyperbolic Matrix(9591,-5930,2570,-1589) (34/55,47/76) -> (97/26,56/15) Hyperbolic Matrix(7315,-4524,9244,-5717) (47/76,60/97) -> (72/91,19/24) Hyperbolic Matrix(4693,-2908,2148,-1331) (13/21,44/71) -> (24/11,59/27) Hyperbolic Matrix(7903,-4898,5778,-3581) (44/71,31/50) -> (93/68,26/19) Hyperbolic Matrix(10321,-6400,6320,-3919) (31/50,49/79) -> (129/79,49/30) Hyperbolic Matrix(2173,-1348,2468,-1531) (49/79,18/29) -> (22/25,15/17) Hyperbolic Matrix(543,-338,98,-61) (18/29,5/8) -> (11/2,28/5) Hyperbolic Matrix(7903,-4978,3018,-1901) (17/27,46/73) -> (144/55,55/21) Hyperbolic Matrix(3681,-2320,760,-479) (46/73,29/46) -> (29/6,34/7) Hyperbolic Matrix(587,-372,172,-109) (12/19,7/11) -> (17/5,24/7) Hyperbolic Matrix(49,-32,72,-47) (7/11,2/3) -> (2/3,9/13) Parabolic Matrix(10533,-7306,2386,-1655) (43/62,34/49) -> (128/29,53/12) Hyperbolic Matrix(11471,-7970,2690,-1869) (66/95,41/59) -> (81/19,64/15) Hyperbolic Matrix(2595,-1804,1204,-837) (41/59,16/23) -> (28/13,41/19) Hyperbolic Matrix(755,-526,966,-673) (16/23,7/10) -> (25/32,18/23) Hyperbolic Matrix(1269,-892,892,-627) (7/10,19/27) -> (27/19,37/26) Hyperbolic Matrix(7183,-5058,2018,-1421) (19/27,50/71) -> (32/9,89/25) Hyperbolic Matrix(7885,-5554,3474,-2447) (50/71,31/44) -> (59/26,84/37) Hyperbolic Matrix(2347,-1654,3214,-2265) (31/44,12/17) -> (46/63,19/26) Hyperbolic Matrix(1265,-894,774,-547) (12/17,17/24) -> (49/30,18/11) Hyperbolic Matrix(2153,-1526,1686,-1195) (17/24,22/31) -> (60/47,23/18) Hyperbolic Matrix(2151,-1528,328,-233) (22/31,27/38) -> (13/2,46/7) Hyperbolic Matrix(4395,-3124,1684,-1197) (27/38,5/7) -> (107/41,47/18) Hyperbolic Matrix(557,-402,442,-319) (18/25,13/18) -> (5/4,24/19) Hyperbolic Matrix(557,-404,324,-235) (13/18,8/11) -> (12/7,31/18) Hyperbolic Matrix(1383,-1018,898,-661) (25/34,14/19) -> (20/13,37/24) Hyperbolic Matrix(1795,-1324,484,-357) (14/19,17/23) -> (63/17,26/7) Hyperbolic Matrix(1103,-818,298,-221) (17/23,3/4) -> (37/10,63/17) Hyperbolic Matrix(363,-278,158,-121) (3/4,10/13) -> (16/7,23/10) Hyperbolic Matrix(6411,-4948,1468,-1133) (27/35,44/57) -> (48/11,83/19) Hyperbolic Matrix(6321,-4880,4040,-3119) (44/57,17/22) -> (97/62,36/23) Hyperbolic Matrix(1127,-872,632,-489) (17/22,7/9) -> (41/23,25/14) Hyperbolic Matrix(2153,-1686,1526,-1195) (18/23,29/37) -> (55/39,24/17) Hyperbolic Matrix(3671,-2888,1008,-793) (11/14,37/47) -> (91/25,51/14) Hyperbolic Matrix(10901,-8618,4178,-3303) (49/62,34/43) -> (60/23,167/64) Hyperbolic Matrix(7103,-5618,8978,-7101) (34/43,53/67) -> (53/67,72/91) Parabolic Matrix(1473,-1168,1048,-831) (19/24,23/29) -> (7/5,45/32) Hyperbolic Matrix(357,-284,44,-35) (23/29,4/5) -> (8/1,25/3) Hyperbolic Matrix(397,-324,484,-395) (13/16,9/11) -> (9/11,23/28) Parabolic Matrix(1273,-1046,286,-235) (23/28,14/17) -> (40/9,9/2) Hyperbolic Matrix(3593,-2966,2126,-1755) (33/40,19/23) -> (49/29,71/42) Hyperbolic Matrix(2015,-1666,306,-253) (19/23,24/29) -> (46/7,33/5) Hyperbolic Matrix(1695,-1426,586,-493) (37/44,16/19) -> (26/9,29/10) Hyperbolic Matrix(507,-452,212,-189) (8/9,1/1) -> (55/23,12/5) Hyperbolic Matrix(611,-668,268,-293) (1/1,10/9) -> (98/43,57/25) Hyperbolic Matrix(413,-466,226,-255) (9/8,8/7) -> (42/23,11/6) Hyperbolic Matrix(1489,-1710,950,-1091) (8/7,23/20) -> (47/30,58/37) Hyperbolic Matrix(2081,-2398,558,-643) (23/20,15/13) -> (41/11,97/26) Hyperbolic Matrix(853,-986,186,-215) (15/13,7/6) -> (55/12,23/5) Hyperbolic Matrix(479,-562,202,-237) (7/6,13/11) -> (45/19,19/8) Hyperbolic Matrix(397,-484,324,-395) (17/14,11/9) -> (11/9,27/22) Parabolic Matrix(1077,-1324,484,-595) (27/22,16/13) -> (20/9,49/22) Hyperbolic Matrix(2077,-2564,644,-795) (37/30,21/17) -> (29/9,71/22) Hyperbolic Matrix(2395,-2964,644,-797) (21/17,26/21) -> (26/7,93/25) Hyperbolic Matrix(1929,-2390,590,-731) (26/21,5/4) -> (85/26,36/11) Hyperbolic Matrix(1837,-2324,1324,-1675) (24/19,19/15) -> (43/31,68/49) Hyperbolic Matrix(2397,-3044,1004,-1275) (33/26,14/11) -> (74/31,43/18) Hyperbolic Matrix(2953,-3768,808,-1031) (37/29,97/76) -> (73/20,11/3) Hyperbolic Matrix(11141,-14220,6220,-7939) (97/76,60/47) -> (120/67,43/24) Hyperbolic Matrix(877,-1122,562,-719) (23/18,9/7) -> (39/25,25/16) Hyperbolic Matrix(907,-1172,332,-429) (9/7,22/17) -> (30/11,41/15) Hyperbolic Matrix(1011,-1310,470,-609) (22/17,35/27) -> (15/7,28/13) Hyperbolic Matrix(783,-1058,578,-781) (4/3,23/17) -> (23/17,42/31) Parabolic Matrix(713,-968,288,-391) (19/14,53/39) -> (37/15,5/2) Hyperbolic Matrix(5221,-7098,3018,-4103) (53/39,34/25) -> (64/37,109/63) Hyperbolic Matrix(643,-876,356,-485) (34/25,15/11) -> (9/5,38/21) Hyperbolic Matrix(439,-602,202,-277) (26/19,11/8) -> (13/6,24/11) Hyperbolic Matrix(1343,-1858,738,-1021) (47/34,18/13) -> (20/11,51/28) Hyperbolic Matrix(871,-1208,168,-233) (18/13,43/31) -> (5/1,26/5) Hyperbolic Matrix(12965,-17994,4674,-6487) (68/49,93/67) -> (147/53,86/31) Hyperbolic Matrix(6733,-9348,2428,-3371) (93/67,25/18) -> (61/22,147/53) Hyperbolic Matrix(1037,-1442,402,-559) (25/18,7/5) -> (49/19,31/12) Hyperbolic Matrix(6641,-9360,2440,-3439) (31/22,86/61) -> (166/61,49/18) Hyperbolic Matrix(1591,-2248,448,-633) (24/17,41/29) -> (39/11,32/9) Hyperbolic Matrix(1485,-2114,314,-447) (37/26,10/7) -> (52/11,19/4) Hyperbolic Matrix(4953,-7126,3166,-4555) (23/16,59/41) -> (61/39,97/62) Hyperbolic Matrix(4329,-6232,1672,-2407) (59/41,36/25) -> (44/17,101/39) Hyperbolic Matrix(653,-948,228,-331) (29/20,16/11) -> (20/7,23/8) Hyperbolic Matrix(97,-144,64,-95) (22/15,3/2) -> (3/2,26/17) Parabolic Matrix(2277,-3484,964,-1475) (26/17,23/15) -> (111/47,26/11) Hyperbolic Matrix(1547,-2374,694,-1065) (23/15,20/13) -> (78/35,29/13) Hyperbolic Matrix(787,-1214,94,-145) (37/24,17/11) -> (25/3,17/2) Hyperbolic Matrix(2795,-4324,1084,-1677) (17/11,48/31) -> (116/45,49/19) Hyperbolic Matrix(2195,-3404,1004,-1557) (31/20,45/29) -> (59/27,35/16) Hyperbolic Matrix(3839,-6002,1482,-2317) (25/16,61/39) -> (101/39,57/22) Hyperbolic Matrix(155,-246,46,-73) (11/7,8/5) -> (10/3,17/5) Hyperbolic Matrix(2293,-3706,826,-1335) (21/13,76/47) -> (86/31,25/9) Hyperbolic Matrix(947,-1534,534,-865) (34/21,13/8) -> (39/22,16/9) Hyperbolic Matrix(853,-1388,228,-371) (13/8,44/27) -> (56/15,15/4) Hyperbolic Matrix(879,-1442,242,-397) (18/11,23/14) -> (29/8,40/11) Hyperbolic Matrix(151,-250,90,-149) (23/14,5/3) -> (5/3,27/16) Parabolic Matrix(5119,-8642,1562,-2637) (27/16,76/45) -> (154/47,59/18) Hyperbolic Matrix(40581,-68540,15500,-26179) (76/45,201/119) -> (521/199,144/55) Hyperbolic Matrix(83417,-140902,31862,-53819) (201/119,125/74) -> (377/144,521/199) Hyperbolic Matrix(237,-404,44,-75) (17/10,12/7) -> (16/3,11/2) Hyperbolic Matrix(5227,-9014,2334,-4025) (50/29,119/69) -> (47/21,56/25) Hyperbolic Matrix(13303,-23018,5098,-8821) (109/63,45/26) -> (167/64,107/41) Hyperbolic Matrix(1493,-2586,586,-1015) (45/26,26/15) -> (28/11,51/20) Hyperbolic Matrix(263,-458,58,-101) (26/15,7/4) -> (9/2,32/7) Hyperbolic Matrix(493,-868,188,-331) (7/4,23/13) -> (55/21,21/8) Hyperbolic Matrix(2151,-3848,488,-873) (59/33,34/19) -> (22/5,75/17) Hyperbolic Matrix(6623,-11858,3698,-6621) (34/19,77/43) -> (77/43,120/67) Parabolic Matrix(1605,-2876,716,-1283) (43/24,52/29) -> (56/25,9/4) Hyperbolic Matrix(1489,-2672,472,-847) (52/29,9/5) -> (41/13,60/19) Hyperbolic Matrix(1193,-2166,526,-955) (29/16,20/11) -> (34/15,59/26) Hyperbolic Matrix(4223,-7696,1616,-2945) (51/28,31/17) -> (81/31,115/44) Hyperbolic Matrix(365,-676,196,-363) (24/13,13/7) -> (13/7,28/15) Parabolic Matrix(433,-926,166,-355) (2/1,15/7) -> (13/5,60/23) Hyperbolic Matrix(809,-1750,190,-411) (41/19,13/6) -> (17/4,81/19) Hyperbolic Matrix(597,-1324,124,-275) (31/14,20/9) -> (24/5,29/6) Hyperbolic Matrix(915,-2044,124,-277) (29/13,38/17) -> (22/3,37/5) Hyperbolic Matrix(5209,-11830,1590,-3611) (84/37,25/11) -> (95/29,154/47) Hyperbolic Matrix(3807,-8674,1354,-3085) (41/18,98/43) -> (104/37,45/16) Hyperbolic Matrix(2317,-5284,524,-1195) (57/25,16/7) -> (84/19,31/7) Hyperbolic Matrix(169,-392,72,-167) (23/10,7/3) -> (7/3,33/14) Parabolic Matrix(833,-1966,286,-675) (59/25,85/36) -> (29/10,3/1) Hyperbolic Matrix(26107,-61652,9972,-23549) (85/36,111/47) -> (233/89,377/144) Hyperbolic Matrix(3753,-8968,1168,-2791) (43/18,98/41) -> (106/33,45/14) Hyperbolic Matrix(1125,-2714,434,-1047) (41/17,29/12) -> (57/22,13/5) Hyperbolic Matrix(1869,-4532,572,-1387) (63/26,17/7) -> (49/15,85/26) Hyperbolic Matrix(1561,-3798,478,-1163) (17/7,56/23) -> (62/19,49/15) Hyperbolic Matrix(2165,-5274,594,-1447) (56/23,39/16) -> (51/14,62/17) Hyperbolic Matrix(605,-1476,116,-283) (39/16,22/9) -> (26/5,21/4) Hyperbolic Matrix(719,-1762,162,-397) (22/9,27/11) -> (31/7,40/9) Hyperbolic Matrix(6571,-16150,2510,-6169) (27/11,59/24) -> (89/34,233/89) Hyperbolic Matrix(497,-1262,102,-259) (33/13,28/11) -> (34/7,5/1) Hyperbolic Matrix(763,-1956,236,-605) (41/16,18/7) -> (42/13,13/4) Hyperbolic Matrix(1589,-4092,492,-1267) (18/7,67/26) -> (71/22,42/13) Hyperbolic Matrix(4897,-12622,1342,-3459) (67/26,116/45) -> (62/17,73/20) Hyperbolic Matrix(639,-1682,242,-637) (21/8,29/11) -> (29/11,37/14) Parabolic Matrix(10063,-27378,3698,-10061) (68/25,117/43) -> (117/43,166/61) Parabolic Matrix(1181,-3218,258,-703) (49/18,30/11) -> (32/7,55/12) Hyperbolic Matrix(639,-1762,202,-557) (11/4,58/21) -> (60/19,19/6) Hyperbolic Matrix(2479,-6962,882,-2477) (14/5,59/21) -> (59/21,104/37) Parabolic Matrix(2319,-7442,722,-2317) (16/5,61/19) -> (61/19,106/33) Parabolic Matrix(559,-1922,162,-557) (24/7,31/9) -> (31/9,38/11) Parabolic Matrix(175,-626,26,-93) (25/7,18/5) -> (20/3,7/1) Hyperbolic Matrix(33,-128,8,-31) (15/4,4/1) -> (4/1,17/4) Parabolic Matrix(463,-2178,98,-461) (14/3,33/7) -> (33/7,52/11) Parabolic Matrix(205,-1156,36,-203) (28/5,17/3) -> (17/3,40/7) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,2,-2,-3) -> Matrix(1,0,4,1) Matrix(149,70,530,249) -> Matrix(1,0,-2,1) Matrix(147,68,-668,-309) -> Matrix(1,0,-2,1) Matrix(443,204,76,35) -> Matrix(1,0,-4,1) Matrix(1029,470,370,169) -> Matrix(1,0,-2,1) Matrix(727,328,512,231) -> Matrix(9,-2,14,-3) Matrix(725,326,874,393) -> Matrix(9,-2,14,-3) Matrix(437,196,1884,845) -> Matrix(1,0,-2,1) Matrix(287,128,-648,-289) -> Matrix(1,0,0,1) Matrix(4583,2024,1936,855) -> Matrix(9,-2,14,-3) Matrix(999,440,1360,599) -> Matrix(7,-2,18,-5) Matrix(3281,1442,-8562,-3763) -> Matrix(1,0,0,1) Matrix(3853,1692,1068,469) -> Matrix(19,-4,24,-5) Matrix(1281,562,-5842,-2563) -> Matrix(1,0,-2,1) Matrix(3275,1436,1284,563) -> Matrix(9,-2,32,-7) Matrix(565,246,-1486,-647) -> Matrix(1,0,0,1) Matrix(281,122,638,277) -> Matrix(1,0,-2,1) Matrix(555,236,1324,563) -> Matrix(9,-2,32,-7) Matrix(1109,470,210,89) -> Matrix(1,0,-2,1) Matrix(275,116,-1036,-437) -> Matrix(9,-2,32,-7) Matrix(1103,464,416,175) -> Matrix(17,-4,30,-7) Matrix(2067,868,-5308,-2229) -> Matrix(15,-4,64,-17) Matrix(3031,1272,3448,1447) -> Matrix(15,-4,34,-9) Matrix(2341,982,3378,1417) -> Matrix(7,-2,18,-5) Matrix(2481,1040,1720,721) -> Matrix(7,-2,4,-1) Matrix(3443,1442,-9362,-3921) -> Matrix(1,0,2,1) Matrix(1511,632,208,87) -> Matrix(7,-2,4,-1) Matrix(3435,1436,964,403) -> Matrix(5,-2,8,-3) Matrix(1917,796,2324,965) -> Matrix(9,-2,14,-3) Matrix(3967,1646,1434,595) -> Matrix(1,0,0,1) Matrix(1367,566,954,395) -> Matrix(1,0,-4,1) Matrix(271,112,888,367) -> Matrix(1,0,0,1) Matrix(677,278,-2238,-919) -> Matrix(1,0,0,1) Matrix(679,278,1082,443) -> Matrix(7,-2,18,-5) Matrix(2165,884,1756,717) -> Matrix(9,-2,14,-3) Matrix(2565,1046,3514,1433) -> Matrix(7,-2,18,-5) Matrix(1081,440,1280,521) -> Matrix(1,0,-2,1) Matrix(1213,492,1748,709) -> Matrix(1,0,-2,1) Matrix(131,52,68,27) -> Matrix(1,0,-2,1) Matrix(265,104,1776,697) -> Matrix(1,0,0,1) Matrix(2367,928,3752,1471) -> Matrix(7,-2,18,-5) Matrix(1839,718,1442,563) -> Matrix(9,-2,14,-3) Matrix(5637,2198,2362,921) -> Matrix(1,0,-2,1) Matrix(9439,3678,2882,1123) -> Matrix(19,-4,24,-5) Matrix(1571,610,1110,431) -> Matrix(1,0,-2,1) Matrix(1043,404,-3524,-1365) -> Matrix(9,-2,32,-7) Matrix(1825,706,654,253) -> Matrix(7,-2,18,-5) Matrix(523,202,1758,679) -> Matrix(1,0,2,1) Matrix(907,348,3052,1171) -> Matrix(1,0,0,1) Matrix(4281,1640,1360,521) -> Matrix(1,0,-4,1) Matrix(7519,2878,5442,2083) -> Matrix(1,0,-4,1) Matrix(1683,644,196,75) -> Matrix(9,-2,14,-3) Matrix(131,50,710,271) -> Matrix(1,0,0,1) Matrix(901,342,-3222,-1223) -> Matrix(1,0,0,1) Matrix(1289,488,1672,633) -> Matrix(1,0,0,1) Matrix(513,194,2446,925) -> Matrix(1,0,-6,1) Matrix(3343,1262,898,339) -> Matrix(9,-2,14,-3) Matrix(639,238,1082,403) -> Matrix(1,0,-2,1) Matrix(1527,566,634,235) -> Matrix(1,0,-4,1) Matrix(887,328,192,71) -> Matrix(9,-2,14,-3) Matrix(4811,1770,2150,791) -> Matrix(1,0,-4,1) Matrix(5437,1998,1962,721) -> Matrix(9,-2,32,-7) Matrix(883,324,-3284,-1205) -> Matrix(9,-2,32,-7) Matrix(2397,878,2842,1041) -> Matrix(1,0,-2,1) Matrix(1011,370,-3850,-1409) -> Matrix(9,-2,32,-7) Matrix(629,230,2650,969) -> Matrix(1,0,-2,1) Matrix(2393,874,1766,645) -> Matrix(1,0,-2,1) Matrix(127,46,-566,-205) -> Matrix(1,0,-2,1) Matrix(1999,718,1122,403) -> Matrix(9,-2,14,-3) Matrix(2621,940,1620,581) -> Matrix(1,0,-2,1) Matrix(373,132,308,109) -> Matrix(1,0,-2,1) Matrix(125,44,-804,-283) -> Matrix(1,0,-2,1) Matrix(1473,514,1046,365) -> Matrix(9,-2,14,-3) Matrix(857,296,304,105) -> Matrix(17,-4,30,-7) Matrix(237,76,764,245) -> Matrix(15,-4,64,-17) Matrix(1053,334,1466,465) -> Matrix(7,-2,18,-5) Matrix(235,74,-994,-313) -> Matrix(1,0,0,1) Matrix(233,72,288,89) -> Matrix(15,-4,34,-9) Matrix(1497,458,2422,741) -> Matrix(7,-2,18,-5) Matrix(1729,528,632,193) -> Matrix(7,-2,4,-1) Matrix(1609,488,1032,313) -> Matrix(1,0,0,1) Matrix(801,242,2638,797) -> Matrix(7,-2,32,-9) Matrix(229,68,852,253) -> Matrix(7,-2,32,-9) Matrix(4315,1276,7044,2083) -> Matrix(13,-4,36,-11) Matrix(6699,1978,4142,1223) -> Matrix(13,-4,36,-11) Matrix(1133,334,1306,385) -> Matrix(7,-2,18,-5) Matrix(3847,1128,2152,631) -> Matrix(7,-2,4,-1) Matrix(6335,1856,4584,1343) -> Matrix(7,-2,4,-1) Matrix(1355,396,284,83) -> Matrix(7,-2,4,-1) Matrix(111,32,-392,-113) -> Matrix(1,0,0,1) Matrix(1445,406,1114,313) -> Matrix(1,0,-2,1) Matrix(2885,806,834,233) -> Matrix(17,-4,30,-7) Matrix(999,278,442,123) -> Matrix(7,-2,18,-5) Matrix(2215,614,386,107) -> Matrix(13,-4,10,-3) Matrix(11283,3124,4316,1195) -> Matrix(3,-2,8,-5) Matrix(4091,1132,4868,1347) -> Matrix(1,0,0,1) Matrix(1657,458,2102,581) -> Matrix(7,-2,18,-5) Matrix(4967,1368,2872,791) -> Matrix(7,-2,32,-9) Matrix(5521,1520,3200,881) -> Matrix(7,-2,4,-1) Matrix(553,152,1488,409) -> Matrix(1,0,0,1) Matrix(879,238,602,163) -> Matrix(1,0,-2,1) Matrix(549,148,1532,413) -> Matrix(9,-2,32,-7) Matrix(5357,1438,3282,881) -> Matrix(7,-2,4,-1) Matrix(4811,1290,2950,791) -> Matrix(5,-2,8,-3) Matrix(217,58,-1418,-379) -> Matrix(1,0,-2,1) Matrix(1195,316,1524,403) -> Matrix(13,-4,36,-11) Matrix(2495,654,866,227) -> Matrix(7,-2,18,-5) Matrix(107,28,-1028,-269) -> Matrix(7,-2,18,-5) Matrix(323,84,596,155) -> Matrix(19,-6,54,-17) Matrix(209,50,790,189) -> Matrix(1,0,2,1) Matrix(1153,274,526,125) -> Matrix(1,0,-2,1) Matrix(521,122,158,37) -> Matrix(1,0,-2,1) Matrix(1871,430,570,131) -> Matrix(17,-6,20,-7) Matrix(725,166,3114,713) -> Matrix(5,-2,18,-7) Matrix(1035,236,364,83) -> Matrix(5,-2,8,-3) Matrix(929,210,1190,269) -> Matrix(7,-2,18,-5) Matrix(6557,1436,1484,325) -> Matrix(1,0,0,1) Matrix(1025,224,1176,257) -> Matrix(7,-2,18,-5) Matrix(3275,714,766,167) -> Matrix(5,-2,8,-3) Matrix(203,44,-1684,-365) -> Matrix(7,-2,18,-5) Matrix(3269,708,10772,2333) -> Matrix(13,-4,62,-19) Matrix(7247,1568,1992,431) -> Matrix(13,-4,10,-3) Matrix(815,176,2144,463) -> Matrix(31,-10,90,-29) Matrix(713,152,1168,249) -> Matrix(1,0,0,1) Matrix(7513,1592,5328,1129) -> Matrix(1,0,-2,1) Matrix(4261,902,5938,1257) -> Matrix(5,-2,18,-7) Matrix(3349,708,2332,493) -> Matrix(5,-2,8,-3) Matrix(709,148,1212,253) -> Matrix(5,-2,8,-3) Matrix(805,166,354,73) -> Matrix(1,0,0,1) Matrix(591,112,248,47) -> Matrix(1,0,0,1) Matrix(1083,202,638,119) -> Matrix(1,0,2,1) Matrix(1765,326,2994,553) -> Matrix(1,0,4,1) Matrix(685,126,2354,433) -> Matrix(1,0,14,1) Matrix(389,70,50,9) -> Matrix(1,0,-2,1) Matrix(485,86,1314,233) -> Matrix(5,-2,18,-7) Matrix(389,68,532,93) -> Matrix(3,-2,8,-5) Matrix(953,154,526,85) -> Matrix(1,0,-2,1) Matrix(1237,196,284,45) -> Matrix(1,0,-2,1) Matrix(1233,194,286,45) -> Matrix(5,-2,8,-3) Matrix(1319,200,1840,279) -> Matrix(1,0,2,1) Matrix(849,128,2872,433) -> Matrix(1,0,6,1) Matrix(281,42,1318,197) -> Matrix(1,0,12,1) Matrix(1313,194,846,125) -> Matrix(1,0,-6,1) Matrix(371,50,230,31) -> Matrix(1,0,0,1) Matrix(1637,196,1044,125) -> Matrix(1,0,0,1) Matrix(905,104,496,57) -> Matrix(1,0,0,1) Matrix(2691,290,1030,111) -> Matrix(7,-2,18,-5) Matrix(349,30,570,49) -> Matrix(7,-2,18,-5) Matrix(431,-50,250,-29) -> Matrix(1,0,-2,1) Matrix(213,-28,388,-51) -> Matrix(7,-2,18,-5) Matrix(4043,-596,2476,-365) -> Matrix(1,0,-4,1) Matrix(1181,-178,418,-63) -> Matrix(9,-2,14,-3) Matrix(277,-44,724,-115) -> Matrix(7,-2,18,-5) Matrix(613,-106,1706,-295) -> Matrix(1,-2,4,-7) Matrix(1973,-346,1226,-215) -> Matrix(1,0,8,1) Matrix(543,-98,338,-61) -> Matrix(1,0,-4,1) Matrix(469,-90,370,-71) -> Matrix(1,0,-2,1) Matrix(529,-110,630,-131) -> Matrix(1,0,2,1) Matrix(5823,-1216,3376,-705) -> Matrix(1,0,2,1) Matrix(463,-98,2178,-461) -> Matrix(1,0,28,1) Matrix(2565,-554,1514,-327) -> Matrix(1,0,-4,1) Matrix(3947,-854,2334,-505) -> Matrix(1,0,-4,1) Matrix(3089,-670,5030,-1091) -> Matrix(11,-2,28,-5) Matrix(263,-58,458,-101) -> Matrix(1,0,-2,1) Matrix(195,-44,164,-37) -> Matrix(1,0,-2,1) Matrix(1879,-440,1200,-281) -> Matrix(1,0,0,1) Matrix(1035,-244,1684,-397) -> Matrix(3,-2,8,-5) Matrix(773,-186,1226,-295) -> Matrix(3,-2,8,-5) Matrix(633,-166,286,-75) -> Matrix(1,0,-2,1) Matrix(1959,-520,1360,-361) -> Matrix(1,0,-4,1) Matrix(693,-188,188,-51) -> Matrix(1,0,-2,1) Matrix(879,-242,1442,-397) -> Matrix(7,-2,18,-5) Matrix(751,-208,408,-113) -> Matrix(1,0,-2,1) Matrix(1439,-402,562,-157) -> Matrix(7,-2,18,-5) Matrix(1933,-546,1186,-335) -> Matrix(5,-2,8,-3) Matrix(559,-162,1922,-557) -> Matrix(1,0,16,1) Matrix(805,-236,556,-163) -> Matrix(1,0,-6,1) Matrix(3955,-1166,926,-273) -> Matrix(9,-2,14,-3) Matrix(3521,-1040,1080,-319) -> Matrix(9,-2,14,-3) Matrix(3271,-968,1328,-393) -> Matrix(1,0,-4,1) Matrix(3641,-1080,1480,-439) -> Matrix(1,0,-4,1) Matrix(1719,-520,400,-121) -> Matrix(9,-2,14,-3) Matrix(16451,-4990,12030,-3649) -> Matrix(9,-2,14,-3) Matrix(5987,-1852,2292,-709) -> Matrix(1,0,-2,1) Matrix(1769,-550,550,-171) -> Matrix(33,-8,62,-15) Matrix(485,-154,274,-87) -> Matrix(1,0,-2,1) Matrix(355,-124,564,-197) -> Matrix(7,-2,18,-5) Matrix(1181,-418,178,-63) -> Matrix(9,-2,14,-3) Matrix(1829,-650,650,-231) -> Matrix(25,-6,46,-11) Matrix(7121,-2560,2000,-719) -> Matrix(1,0,-2,1) Matrix(2293,-826,3706,-1335) -> Matrix(7,-2,18,-5) Matrix(3879,-1400,6320,-2281) -> Matrix(15,-4,34,-9) Matrix(2349,-850,970,-351) -> Matrix(7,-2,4,-1) Matrix(1699,-622,702,-257) -> Matrix(7,-2,4,-1) Matrix(1111,-408,1288,-473) -> Matrix(13,-4,36,-11) Matrix(2223,-818,818,-301) -> Matrix(1,0,-2,1) Matrix(1693,-626,906,-335) -> Matrix(7,-2,18,-5) Matrix(1283,-476,876,-325) -> Matrix(7,-2,4,-1) Matrix(639,-242,1682,-637) -> Matrix(49,-16,144,-47) Matrix(1273,-486,406,-155) -> Matrix(11,-4,14,-5) Matrix(3821,-1460,1620,-619) -> Matrix(11,-4,14,-5) Matrix(4395,-1684,3124,-1197) -> Matrix(5,-2,8,-3) Matrix(5435,-2084,1244,-477) -> Matrix(5,-2,8,-3) Matrix(3523,-1358,2078,-801) -> Matrix(1,0,0,1) Matrix(4329,-1672,6232,-2407) -> Matrix(1,0,-2,1) Matrix(3345,-1294,1414,-547) -> Matrix(1,0,-2,1) Matrix(1037,-402,1442,-559) -> Matrix(1,0,0,1) Matrix(173,-68,28,-11) -> Matrix(1,0,-2,1) Matrix(113,-46,86,-35) -> Matrix(1,0,-2,1) Matrix(507,-212,452,-189) -> Matrix(9,-2,14,-3) Matrix(4621,-1940,3380,-1419) -> Matrix(7,-2,18,-5) Matrix(1127,-474,1914,-805) -> Matrix(7,-2,18,-5) Matrix(1237,-522,282,-119) -> Matrix(7,-2,4,-1) Matrix(169,-72,392,-167) -> Matrix(19,-6,54,-17) Matrix(3067,-1332,1172,-509) -> Matrix(21,-8,50,-19) Matrix(5963,-2596,2676,-1165) -> Matrix(5,-2,18,-7) Matrix(5517,-2404,3844,-1675) -> Matrix(5,-2,18,-7) Matrix(4847,-2114,1754,-765) -> Matrix(5,-2,18,-7) Matrix(4955,-2164,2924,-1277) -> Matrix(5,-2,18,-7) Matrix(1447,-634,194,-85) -> Matrix(5,-2,-2,1) Matrix(7841,-3440,3280,-1439) -> Matrix(17,-8,32,-15) Matrix(2167,-952,2752,-1209) -> Matrix(3,-2,8,-5) Matrix(165,-74,194,-87) -> Matrix(1,0,0,1) Matrix(439,-202,602,-277) -> Matrix(7,-2,18,-5) Matrix(491,-230,190,-89) -> Matrix(7,-2,18,-5) Matrix(471,-250,130,-69) -> Matrix(1,0,-2,1) Matrix(1973,-1066,546,-295) -> Matrix(29,-10,32,-11) Matrix(413,-226,466,-255) -> Matrix(21,-8,50,-19) Matrix(669,-370,490,-271) -> Matrix(5,-2,8,-3) Matrix(205,-116,76,-43) -> Matrix(5,-2,8,-3) Matrix(965,-556,1116,-643) -> Matrix(7,-2,18,-5) Matrix(253,-146,26,-15) -> Matrix(1,0,-2,1) Matrix(557,-324,404,-235) -> Matrix(5,-2,8,-3) Matrix(7569,-4432,5272,-3087) -> Matrix(1,0,0,1) Matrix(2471,-1448,3128,-1833) -> Matrix(3,-2,8,-5) Matrix(1663,-976,656,-385) -> Matrix(1,0,2,1) Matrix(3529,-2072,2192,-1287) -> Matrix(1,0,4,1) Matrix(151,-90,250,-149) -> Matrix(7,-2,18,-5) Matrix(6021,-3658,1618,-983) -> Matrix(9,-4,16,-7) Matrix(10001,-6080,5920,-3599) -> Matrix(1,0,0,1) Matrix(13979,-8502,10222,-6217) -> Matrix(5,-2,8,-3) Matrix(2383,-1458,1538,-941) -> Matrix(5,-2,8,-3) Matrix(1933,-1186,546,-335) -> Matrix(9,-4,16,-7) Matrix(14871,-9130,3370,-2069) -> Matrix(5,-2,8,-3) Matrix(791,-488,248,-153) -> Matrix(1,0,0,1) Matrix(9591,-5930,2570,-1589) -> Matrix(5,-2,8,-3) Matrix(7315,-4524,9244,-5717) -> Matrix(1,0,0,1) Matrix(4693,-2908,2148,-1331) -> Matrix(1,0,-2,1) Matrix(7903,-4898,5778,-3581) -> Matrix(1,0,-2,1) Matrix(10321,-6400,6320,-3919) -> Matrix(1,0,-2,1) Matrix(2173,-1348,2468,-1531) -> Matrix(7,-2,18,-5) Matrix(543,-338,98,-61) -> Matrix(11,-4,14,-5) Matrix(7903,-4978,3018,-1901) -> Matrix(3,-2,8,-5) Matrix(3681,-2320,760,-479) -> Matrix(5,-2,8,-3) Matrix(587,-372,172,-109) -> Matrix(1,0,0,1) Matrix(49,-32,72,-47) -> Matrix(1,0,0,1) Matrix(10533,-7306,2386,-1655) -> Matrix(1,0,0,1) Matrix(11471,-7970,2690,-1869) -> Matrix(1,-2,2,-3) Matrix(2595,-1804,1204,-837) -> Matrix(1,0,-2,1) Matrix(755,-526,966,-673) -> Matrix(7,-2,18,-5) Matrix(1269,-892,892,-627) -> Matrix(11,-4,14,-5) Matrix(7183,-5058,2018,-1421) -> Matrix(11,-4,14,-5) Matrix(7885,-5554,3474,-2447) -> Matrix(5,-2,18,-7) Matrix(2347,-1654,3214,-2265) -> Matrix(1,0,0,1) Matrix(1265,-894,774,-547) -> Matrix(5,-2,8,-3) Matrix(2153,-1526,1686,-1195) -> Matrix(11,-4,14,-5) Matrix(2151,-1528,328,-233) -> Matrix(5,-2,8,-3) Matrix(4395,-3124,1684,-1197) -> Matrix(1,0,0,1) Matrix(557,-402,442,-319) -> Matrix(11,-4,14,-5) Matrix(557,-404,324,-235) -> Matrix(5,-2,8,-3) Matrix(1383,-1018,898,-661) -> Matrix(9,-4,16,-7) Matrix(1795,-1324,484,-357) -> Matrix(17,-8,32,-15) Matrix(1103,-818,298,-221) -> Matrix(3,-2,8,-5) Matrix(363,-278,158,-121) -> Matrix(1,0,0,1) Matrix(6411,-4948,1468,-1133) -> Matrix(1,0,-2,1) Matrix(6321,-4880,4040,-3119) -> Matrix(7,-2,18,-5) Matrix(1127,-872,632,-489) -> Matrix(1,0,-2,1) Matrix(2153,-1686,1526,-1195) -> Matrix(5,-2,8,-3) Matrix(3671,-2888,1008,-793) -> Matrix(5,-2,-2,1) Matrix(10901,-8618,4178,-3303) -> Matrix(1,0,0,1) Matrix(7103,-5618,8978,-7101) -> Matrix(5,-2,8,-3) Matrix(1473,-1168,1048,-831) -> Matrix(5,-2,8,-3) Matrix(357,-284,44,-35) -> Matrix(5,-2,8,-3) Matrix(397,-324,484,-395) -> Matrix(21,-10,40,-19) Matrix(1273,-1046,286,-235) -> Matrix(7,-4,16,-9) Matrix(3593,-2966,2126,-1755) -> Matrix(3,-2,8,-5) Matrix(2015,-1666,306,-253) -> Matrix(3,-2,8,-5) Matrix(1695,-1426,586,-493) -> Matrix(1,0,0,1) Matrix(507,-452,212,-189) -> Matrix(9,-4,16,-7) Matrix(611,-668,268,-293) -> Matrix(5,-2,8,-3) Matrix(413,-466,226,-255) -> Matrix(3,-2,8,-5) Matrix(1489,-1710,950,-1091) -> Matrix(3,-2,8,-5) Matrix(2081,-2398,558,-643) -> Matrix(1,0,0,1) Matrix(853,-986,186,-215) -> Matrix(1,0,0,1) Matrix(479,-562,202,-237) -> Matrix(1,0,0,1) Matrix(397,-484,324,-395) -> Matrix(13,-6,24,-11) Matrix(1077,-1324,484,-595) -> Matrix(7,-4,16,-9) Matrix(2077,-2564,644,-795) -> Matrix(5,-2,8,-3) Matrix(2395,-2964,644,-797) -> Matrix(1,0,0,1) Matrix(1929,-2390,590,-731) -> Matrix(13,-8,18,-11) Matrix(1837,-2324,1324,-1675) -> Matrix(3,-4,4,-5) Matrix(2397,-3044,1004,-1275) -> Matrix(3,-2,8,-5) Matrix(2953,-3768,808,-1031) -> Matrix(3,-2,8,-5) Matrix(11141,-14220,6220,-7939) -> Matrix(3,-2,26,-17) Matrix(877,-1122,562,-719) -> Matrix(3,-2,8,-5) Matrix(907,-1172,332,-429) -> Matrix(1,0,0,1) Matrix(1011,-1310,470,-609) -> Matrix(1,0,0,1) Matrix(783,-1058,578,-781) -> Matrix(1,0,2,1) Matrix(713,-968,288,-391) -> Matrix(1,0,0,1) Matrix(5221,-7098,3018,-4103) -> Matrix(1,0,2,1) Matrix(643,-876,356,-485) -> Matrix(1,0,0,1) Matrix(439,-602,202,-277) -> Matrix(1,0,0,1) Matrix(1343,-1858,738,-1021) -> Matrix(1,0,0,1) Matrix(871,-1208,168,-233) -> Matrix(3,-2,2,-1) Matrix(12965,-17994,4674,-6487) -> Matrix(19,-18,56,-53) Matrix(6733,-9348,2428,-3371) -> Matrix(7,-8,22,-25) Matrix(1037,-1442,402,-559) -> Matrix(1,0,2,1) Matrix(6641,-9360,2440,-3439) -> Matrix(5,-4,4,-3) Matrix(1591,-2248,448,-633) -> Matrix(1,-2,2,-3) Matrix(1485,-2114,314,-447) -> Matrix(7,-6,6,-5) Matrix(4953,-7126,3166,-4555) -> Matrix(3,-2,8,-5) Matrix(4329,-6232,1672,-2407) -> Matrix(1,0,2,1) Matrix(653,-948,228,-331) -> Matrix(1,0,0,1) Matrix(97,-144,64,-95) -> Matrix(1,0,2,1) Matrix(2277,-3484,964,-1475) -> Matrix(5,-2,8,-3) Matrix(1547,-2374,694,-1065) -> Matrix(1,0,0,1) Matrix(787,-1214,94,-145) -> Matrix(1,0,0,1) Matrix(2795,-4324,1084,-1677) -> Matrix(1,0,2,1) Matrix(2195,-3404,1004,-1557) -> Matrix(1,0,2,1) Matrix(3839,-6002,1482,-2317) -> Matrix(7,-2,18,-5) Matrix(155,-246,46,-73) -> Matrix(1,0,0,1) Matrix(2293,-3706,826,-1335) -> Matrix(7,-2,18,-5) Matrix(947,-1534,534,-865) -> Matrix(5,-2,8,-3) Matrix(853,-1388,228,-371) -> Matrix(1,0,0,1) Matrix(879,-1442,242,-397) -> Matrix(1,0,0,1) Matrix(151,-250,90,-149) -> Matrix(1,0,2,1) Matrix(5119,-8642,1562,-2637) -> Matrix(11,-4,14,-5) Matrix(40581,-68540,15500,-26179) -> Matrix(15,-4,34,-9) Matrix(83417,-140902,31862,-53819) -> Matrix(21,-8,50,-19) Matrix(237,-404,44,-75) -> Matrix(5,-2,8,-3) Matrix(5227,-9014,2334,-4025) -> Matrix(1,0,0,1) Matrix(13303,-23018,5098,-8821) -> Matrix(7,-2,18,-5) Matrix(1493,-2586,586,-1015) -> Matrix(1,0,0,1) Matrix(263,-458,58,-101) -> Matrix(5,-2,8,-3) Matrix(493,-868,188,-331) -> Matrix(7,-4,16,-9) Matrix(2151,-3848,488,-873) -> Matrix(1,0,2,1) Matrix(6623,-11858,3698,-6621) -> Matrix(1,0,12,1) Matrix(1605,-2876,716,-1283) -> Matrix(1,0,-2,1) Matrix(1489,-2672,472,-847) -> Matrix(1,0,-2,1) Matrix(1193,-2166,526,-955) -> Matrix(1,0,0,1) Matrix(4223,-7696,1616,-2945) -> Matrix(1,2,2,5) Matrix(365,-676,196,-363) -> Matrix(1,0,2,1) Matrix(433,-926,166,-355) -> Matrix(3,-2,8,-5) Matrix(809,-1750,190,-411) -> Matrix(5,-2,8,-3) Matrix(597,-1324,124,-275) -> Matrix(1,0,-2,1) Matrix(915,-2044,124,-277) -> Matrix(3,-2,2,-1) Matrix(5209,-11830,1590,-3611) -> Matrix(11,-4,14,-5) Matrix(3807,-8674,1354,-3085) -> Matrix(29,-14,56,-27) Matrix(2317,-5284,524,-1195) -> Matrix(3,-2,8,-5) Matrix(169,-392,72,-167) -> Matrix(5,-2,8,-3) Matrix(833,-1966,286,-675) -> Matrix(3,-2,8,-5) Matrix(26107,-61652,9972,-23549) -> Matrix(7,-4,16,-9) Matrix(3753,-8968,1168,-2791) -> Matrix(33,-16,64,-31) Matrix(1125,-2714,434,-1047) -> Matrix(3,-2,8,-5) Matrix(1869,-4532,572,-1387) -> Matrix(3,2,4,3) Matrix(1561,-3798,478,-1163) -> Matrix(5,-2,8,-3) Matrix(2165,-5274,594,-1447) -> Matrix(1,0,-2,1) Matrix(605,-1476,116,-283) -> Matrix(1,0,-2,1) Matrix(719,-1762,162,-397) -> Matrix(1,0,0,1) Matrix(6571,-16150,2510,-6169) -> Matrix(7,-4,16,-9) Matrix(497,-1262,102,-259) -> Matrix(1,0,-2,1) Matrix(763,-1956,236,-605) -> Matrix(9,-4,16,-7) Matrix(1589,-4092,492,-1267) -> Matrix(9,-4,16,-7) Matrix(4897,-12622,1342,-3459) -> Matrix(1,0,-2,1) Matrix(639,-1682,242,-637) -> Matrix(29,-14,56,-27) Matrix(10063,-27378,3698,-10061) -> Matrix(13,-12,12,-11) Matrix(1181,-3218,258,-703) -> Matrix(1,-2,2,-3) Matrix(639,-1762,202,-557) -> Matrix(1,0,-2,1) Matrix(2479,-6962,882,-2477) -> Matrix(53,-26,104,-51) Matrix(2319,-7442,722,-2317) -> Matrix(61,-30,120,-59) Matrix(559,-1922,162,-557) -> Matrix(21,-10,40,-19) Matrix(175,-626,26,-93) -> Matrix(1,0,0,1) Matrix(33,-128,8,-31) -> Matrix(1,0,0,1) Matrix(463,-2178,98,-461) -> Matrix(11,-10,10,-9) Matrix(205,-1156,36,-203) -> Matrix(11,-10,10,-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): 68 Degree of the the map X: 68 Degree of the the map Y: 384 ----------------------------------------------------------------------- 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.