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 -7/15 -4/9 -3/7 -7/17 -5/13 -3/8 -1/3 -2/7 -3/11 -1/5 -1/6 0/1 3/22 1/7 3/17 7/33 3/13 1/4 1/3 11/29 3/7 1/2 7/13 43/77 3/5 2/3 5/7 17/23 9/11 7/8 1/1 11/9 67/53 14/11 9/7 23/17 93/67 7/5 3/2 61/39 49/31 31/19 5/3 201/119 41/24 19/11 16/9 9/5 29/16 13/7 2/1 41/19 11/5 39/17 7/3 17/7 5/2 18/7 29/11 117/43 41/15 11/4 59/21 3/1 19/6 61/19 23/7 27/8 17/5 31/9 7/2 39/11 25/7 43/12 29/8 11/3 15/4 19/5 23/6 4/1 17/4 13/3 9/2 23/5 37/8 14/3 33/7 19/4 29/6 5/1 21/4 16/3 11/2 17/3 23/4 29/5 35/6 6/1 19/3 13/2 27/4 7/1 29/4 22/3 15/2 8/1 9/1 10/1 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -1/1 0/1 -1/2 0/1 1/2 -8/17 0/1 1/1 -7/15 0/1 -13/28 1/2 -6/13 0/1 1/3 -5/11 1/2 -19/42 -1/2 0/1 -14/31 0/1 1/5 -23/51 1/4 -9/20 1/3 1/2 -13/29 0/1 -17/38 0/1 1/2 -4/9 1/2 -11/25 1/4 -18/41 3/5 2/3 -7/16 0/1 1/0 -24/55 0/1 1/9 -17/39 1/4 -10/23 2/7 1/3 -3/7 1/2 -14/33 0/1 1/5 -11/26 1/2 -30/71 2/3 1/1 -49/116 13/14 1/1 -19/45 3/2 -8/19 -1/1 0/1 -21/50 0/1 1/10 -55/131 1/8 -34/81 0/1 1/7 -47/112 1/6 -13/31 1/4 -31/74 0/1 1/2 -18/43 1/4 -5/12 0/1 1/2 -12/29 1/3 4/11 -19/46 2/5 1/2 -26/63 2/5 3/7 -7/17 1/2 -9/22 3/4 1/1 -11/27 0/1 -2/5 0/1 1/3 -11/28 1/2 3/5 -31/79 2/3 -20/51 3/5 2/3 -9/23 3/4 -7/18 1/1 1/0 -33/85 1/2 -26/67 1/1 2/1 -19/49 1/0 -12/31 -1/1 0/1 -17/44 0/1 1/0 -5/13 0/1 -18/47 0/1 1/5 -31/81 1/4 -13/34 0/1 1/2 -21/55 1/4 -50/131 1/5 6/29 -29/76 2/9 1/4 -8/21 0/1 1/3 -19/50 5/16 1/3 -11/29 1/2 -3/8 1/2 -13/35 1/2 -10/27 4/5 1/1 -17/46 3/2 2/1 -24/65 1/1 4/3 -7/19 1/0 -25/68 -1/4 0/1 -18/49 -1/1 0/1 -11/30 0/1 1/0 -4/11 0/1 1/5 -13/36 1/4 2/7 -9/25 1/3 -14/39 3/8 -5/14 2/5 1/2 -6/17 3/5 2/3 -13/37 2/3 -7/20 5/6 1/1 -8/23 1/0 -1/3 1/2 -7/22 1/4 -6/19 1/3 6/17 -11/35 2/5 -5/16 3/7 1/2 -4/13 3/5 2/3 -11/36 3/4 -7/23 1/1 -10/33 1/1 4/3 -3/10 0/1 1/0 -14/47 0/1 1/11 -11/37 1/6 -30/101 0/1 1/3 -19/64 1/4 -8/27 0/1 1/3 -21/71 1/4 -13/44 1/3 1/2 -18/61 0/1 1/7 -5/17 1/4 -7/24 1/3 5/14 -9/31 3/8 -2/7 1/2 -11/39 1/2 -9/32 2/3 3/4 -7/25 3/4 -5/18 1/1 1/0 -8/29 0/1 1/3 -19/69 1/2 -11/40 0/1 1/0 -14/51 2/3 1/1 -3/11 0/1 -10/37 1/3 2/5 -7/26 0/1 1/4 -18/67 0/1 1/3 -11/41 1/4 -4/15 0/1 1/3 -13/49 3/8 -9/34 1/2 -5/19 1/2 -11/42 3/7 7/16 -6/23 5/11 6/13 -1/4 1/2 1/1 -6/25 0/1 1/1 -5/21 0/1 -9/38 2/5 1/2 -4/17 0/1 1/3 -7/30 2/5 1/2 -10/43 4/9 5/11 -3/13 1/2 -5/22 7/12 3/5 -7/31 2/3 -9/40 1/2 1/1 -2/9 2/3 1/1 -9/41 1/1 -7/32 1/2 -19/87 1/2 -12/55 2/3 5/7 -5/23 3/4 -18/83 3/4 -13/60 3/4 4/5 -21/97 3/4 -8/37 6/7 1/1 -3/14 1/1 1/0 -7/33 3/4 -4/19 1/0 -5/24 -1/2 0/1 -1/5 1/2 -3/16 1/2 1/1 -5/27 5/6 -7/38 11/12 1/1 -2/11 1/1 2/1 -7/39 1/1 -5/28 2/1 1/0 -8/45 -2/1 -1/1 -11/62 -1/2 0/1 -3/17 1/0 -4/23 0/1 1/3 -1/6 1/2 -4/25 2/3 1/1 -3/19 2/3 -5/32 2/3 3/4 -2/13 4/5 1/1 -1/7 1/0 -2/15 1/3 2/5 -1/8 1/2 2/3 -2/17 3/4 -3/26 4/5 5/6 -1/9 1/1 0/1 0/1 1/1 1/8 0/1 1/0 2/15 3/5 2/3 3/22 3/4 1/7 1/1 1/6 2/1 1/0 4/23 5/1 6/1 3/17 1/0 2/11 -2/1 -1/1 1/5 1/2 5/24 3/4 4/5 4/19 10/11 1/1 7/33 1/1 3/14 1/1 9/8 5/23 3/2 2/9 1/1 4/3 7/31 7/4 12/53 3/2 5/22 3/2 2/1 3/13 2/1 1/4 1/0 5/19 0/1 9/34 -1/2 0/1 13/49 1/0 4/15 -1/1 0/1 11/41 -1/2 18/67 -1/2 7/26 -1/6 0/1 3/11 1/2 8/29 1/3 2/5 5/18 1/2 2/3 7/25 1/1 16/57 0/1 1/1 9/32 1/1 3/2 2/7 2/3 1/1 3/10 1/1 1/0 7/23 3/2 18/59 8/5 5/3 29/95 7/4 11/36 7/4 2/1 15/49 2/1 4/13 1/1 2/1 9/29 11/6 5/16 2/1 9/4 1/3 1/0 7/20 0/1 1/0 6/17 -1/1 -2/3 11/31 -1/4 5/14 0/1 1/4 14/39 1/3 2/5 9/25 1/0 22/61 0/1 1/7 13/36 1/3 1/2 17/47 0/1 4/11 1/2 3/8 1/2 1/1 11/29 1/1 19/50 1/1 13/12 8/21 1/1 6/5 13/34 4/3 3/2 31/81 4/3 18/47 3/2 5/13 3/2 12/31 5/3 2/1 7/18 1/0 9/23 1/1 11/28 1/2 1/1 2/5 1/1 2/1 13/32 5/2 11/27 7/2 9/22 1/1 1/0 16/39 1/0 23/56 2/1 1/0 7/17 2/1 12/29 2/1 3/1 17/41 1/0 5/12 3/1 7/2 18/43 4/1 21/5 13/31 1/0 8/19 14/3 5/1 11/26 6/1 13/2 3/7 1/0 7/16 -2/1 1/0 32/73 -5/2 25/57 -9/4 18/41 -2/1 -9/5 11/25 -3/2 15/34 -5/4 -1/1 4/9 -1/1 0/1 21/47 1/0 17/38 1/0 13/29 1/2 9/20 -2/1 1/0 5/11 0/1 6/13 0/1 1/1 7/15 1/0 8/17 1/0 1/2 1/1 1/0 8/15 7/1 8/1 7/13 1/0 6/11 -6/1 -5/1 17/31 -4/1 11/20 -7/2 -3/1 27/49 1/0 16/29 -5/2 5/9 1/0 29/52 -2/1 1/0 24/43 -3/1 -2/1 43/77 -2/1 19/34 -2/1 -3/2 52/93 -3/2 33/59 -3/2 14/25 -1/1 0/1 9/16 1/0 13/23 -3/2 17/30 -2/1 -3/2 4/7 -1/1 0/1 19/33 1/0 15/26 -1/1 1/0 41/71 -1/1 26/45 -1/1 -4/5 37/64 -3/4 -2/3 11/19 -1/2 7/12 -1/2 0/1 24/41 1/0 17/29 1/2 10/17 -2/1 -1/1 23/39 1/0 13/22 1/0 3/5 0/1 17/28 1/2 31/51 5/6 45/74 1/1 13/12 14/23 1/1 2/1 25/41 1/0 61/100 0/1 1/0 36/59 1/0 11/18 0/1 1/2 19/31 1/0 27/44 0/1 1/0 35/57 -1/2 8/13 -1/1 0/1 21/34 1/2 34/55 -1/1 0/1 47/76 -1/4 0/1 60/97 0/1 1/9 13/21 1/2 18/29 0/1 1/3 5/8 1/2 1/1 12/19 4/5 1/1 7/11 3/2 23/36 2/1 1/0 39/61 1/0 16/25 0/1 1/1 9/14 3/2 2/1 29/45 5/2 20/31 1/1 2/1 11/17 1/0 13/20 2/1 9/4 15/23 11/4 2/3 1/0 13/19 -2/1 11/16 -2/1 1/0 9/13 -3/2 25/36 -2/1 -3/2 41/59 -3/2 16/23 -2/1 -1/1 39/56 1/0 23/33 -2/1 7/10 -5/4 -1/1 19/27 -5/6 12/17 -1/1 0/1 29/41 1/0 17/24 -1/1 -1/2 22/31 -1/1 -10/11 27/38 -3/4 5/7 -1/2 28/39 -1/1 0/1 23/32 -1/2 18/25 -1/5 0/1 31/43 1/2 44/61 1/0 13/18 -1/1 1/0 8/11 -1/1 0/1 27/37 0/1 46/63 -1/3 0/1 19/26 -1/2 11/15 -1/4 36/49 -1/6 25/34 -1/6 0/1 64/87 -1/5 -2/11 39/53 -1/6 14/19 -1/9 0/1 17/23 0/1 20/27 0/1 1/13 3/4 0/1 1/2 7/9 1/1 25/32 5/4 4/3 18/23 1/1 2/1 29/37 3/2 11/14 3/2 15/19 3/2 4/5 2/1 3/1 21/26 7/2 4/1 17/21 11/2 30/37 6/1 7/1 13/16 8/1 1/0 9/11 1/0 23/28 -14/1 1/0 37/45 -23/2 14/17 -9/1 -8/1 5/6 -3/1 1/0 6/7 -6/5 -1/1 13/15 -3/4 20/23 -1/1 -2/3 7/8 -1/2 15/17 0/1 8/9 -2/5 -1/3 1/1 1/0 10/9 0/1 1/9 9/8 1/3 1/2 8/7 1/2 23/20 5/8 2/3 15/13 3/4 7/6 1/1 5/4 6/5 2/1 3/1 29/24 4/1 1/0 23/19 9/2 40/33 6/1 7/1 17/14 7/1 1/0 11/9 1/0 27/22 -11/1 1/0 43/35 -17/2 16/13 -7/1 -6/1 5/4 -2/1 1/0 29/23 -3/2 24/19 -2/1 -1/1 67/53 -1/1 43/34 -1/1 1/0 19/15 1/0 33/26 -5/2 -2/1 14/11 -3/2 37/29 -7/6 97/76 -23/22 -1/1 60/47 -1/1 -8/9 23/18 -1/1 1/0 9/7 -1/1 31/24 -3/4 22/17 -1/1 -4/5 79/61 -3/4 57/44 -3/4 -2/3 35/27 -1/2 13/10 -2/3 -1/2 17/13 -1/2 21/16 -2/5 -3/8 4/3 -1/3 0/1 23/17 0/1 19/14 0/1 1/14 53/39 1/10 34/25 0/1 1/9 15/11 1/6 26/19 1/4 11/8 0/1 1/2 29/21 1/2 18/13 0/1 1/3 43/31 1/0 68/49 -1/7 0/1 93/67 0/1 118/85 0/1 1/19 25/18 0/1 1/6 7/5 1/2 45/32 1/2 1/1 38/27 1/2 31/22 1/2 2/3 117/83 2/3 86/61 2/3 5/7 55/39 3/4 24/17 4/5 1/1 65/46 1/1 1/0 41/29 1/2 17/12 2/3 3/4 44/31 5/6 115/81 7/8 186/131 10/11 1/1 71/50 1/1 1/0 27/19 5/6 37/26 15/16 1/1 47/33 1/1 10/7 1/1 4/3 3/2 1/0 14/9 -1/1 -2/3 39/25 -1/1 25/16 -1/1 -1/2 61/39 -1/2 36/23 -1/1 0/1 47/30 -1/1 1/0 58/37 1/0 11/7 1/0 30/19 -8/7 -1/1 49/31 -1/1 68/43 -1/1 -18/19 19/12 -1/1 -5/6 46/29 -1/2 73/46 -5/4 -1/1 27/17 -3/4 8/5 -1/1 0/1 37/23 -1/2 66/41 -5/11 -4/9 29/18 -1/2 -2/5 79/49 -2/5 50/31 -6/17 -1/3 71/44 -1/4 92/57 -1/5 0/1 21/13 -1/2 76/47 -1/3 0/1 131/81 -1/4 55/34 -1/2 0/1 34/21 -1/4 47/29 -1/4 13/8 0/1 1/0 57/35 1/0 44/27 -2/1 -1/1 75/46 -1/1 -3/4 31/19 -1/2 80/49 -1/3 0/1 49/30 -1/2 0/1 165/101 -1/2 116/71 -1/1 0/1 67/41 -1/2 18/11 -1/3 0/1 23/14 -1/2 -2/5 5/3 0/1 27/16 1/4 2/7 76/45 14/43 1/3 201/119 1/3 125/74 1/3 23/68 49/29 5/14 71/42 7/18 2/5 22/13 1/2 39/23 1/0 17/10 0/1 1/2 46/27 2/3 1/1 75/44 5/6 1/1 29/17 1/0 99/58 1/1 1/0 169/99 1/0 70/41 1/1 2/1 41/24 1/0 12/7 0/1 1/3 31/18 1/4 1/3 81/47 0/1 131/76 0/1 1/4 50/29 1/3 4/11 69/40 3/8 2/5 19/11 1/2 64/37 2/3 1/1 109/63 3/4 45/26 1/2 2/3 26/15 2/3 1/1 7/4 1/2 1/1 16/9 1/2 25/14 3/4 1/1 59/33 3/4 34/19 12/13 1/1 9/5 3/2 29/16 1/0 20/11 2/1 3/1 11/6 3/1 1/0 24/13 6/1 7/1 13/7 1/0 28/15 -8/1 -7/1 15/8 -4/1 1/0 2/1 -1/1 0/1 15/7 1/0 28/13 0/1 1/1 41/19 1/0 13/6 0/1 1/0 24/11 1/2 35/16 2/1 1/0 11/5 0/1 42/19 0/1 1/1 31/14 1/2 20/9 0/1 1/3 9/4 1/1 3/2 25/11 3/2 91/40 2/1 1/0 66/29 3/2 41/18 11/6 2/1 98/43 2/1 27/13 57/25 9/4 73/32 5/2 16/7 1/1 2/1 55/24 2/1 1/0 94/41 1/0 39/17 2/1 101/44 1/0 62/27 3/1 4/1 85/37 1/2 23/10 2/1 5/2 7/3 1/0 33/14 -4/1 -7/2 59/25 -7/2 85/36 -31/10 -3/1 26/11 -3/1 -2/1 71/30 -5/2 -2/1 45/19 -2/1 19/8 -2/1 1/0 69/29 -5/2 50/21 -2/1 -5/3 81/34 -3/2 112/47 -10/9 -1/1 31/13 1/0 43/18 -9/4 -2/1 98/41 -2/1 -25/13 55/23 -7/4 12/5 -4/3 -1/1 41/17 1/0 70/29 -2/1 -1/1 99/41 -3/2 29/12 -3/2 -1/1 46/19 1/0 17/7 -1/1 5/2 0/1 1/0 23/9 -1/1 41/16 -3/4 -2/3 18/7 -1/2 67/26 -7/20 -1/3 116/45 -1/3 -4/13 49/19 -1/4 31/12 0/1 1/0 44/17 -1/1 0/1 101/39 -1/2 57/22 -1/2 0/1 13/5 -1/2 34/13 -1/5 0/1 89/34 -2/9 -3/14 144/55 -1/5 -10/51 55/21 -1/6 76/29 -1/6 173/66 -1/6 0/1 97/37 -1/6 21/8 -1/8 0/1 29/11 0/1 37/14 0/1 1/14 8/3 0/1 1/3 35/13 0/1 62/23 1/4 89/33 5/16 116/43 1/3 14/41 27/10 2/5 1/2 46/17 5/9 4/7 19/7 3/4 68/25 18/19 1/1 117/43 1/1 166/61 1/1 44/43 49/18 1/1 13/12 30/11 1/1 2/1 41/15 2/1 11/4 1/0 47/17 0/1 83/30 -1/2 0/1 36/13 -2/1 -1/1 97/35 1/0 158/57 1/0 61/22 -1/1 1/0 147/53 -1/1 86/31 -1/1 0/1 25/9 1/0 39/14 -1/2 0/1 14/5 -1/3 0/1 59/21 0/1 104/37 0/1 1/31 45/16 0/1 1/14 31/11 1/6 79/28 0/1 1/4 48/17 1/4 17/6 0/1 1/2 20/7 2/3 1/1 3/1 1/0 19/6 -1/2 16/5 -1/5 0/1 61/19 0/1 106/33 0/1 1/33 45/14 0/1 1/14 29/9 1/4 42/13 1/2 55/17 0/1 13/4 1/2 1/1 23/7 1/0 56/17 -4/1 -3/1 89/27 -7/2 122/37 -34/11 -3/1 33/10 -5/2 -2/1 43/13 -2/1 10/3 -1/1 -2/3 37/11 0/1 64/19 -2/1 -1/1 155/46 -13/12 -1/1 401/119 -1/1 246/73 -1/1 -24/25 91/27 -5/6 27/8 -1/2 98/29 -1/5 0/1 71/21 -1/2 44/13 -1/1 0/1 105/31 0/1 61/18 -1/2 0/1 139/41 -1/2 78/23 -1/3 0/1 17/5 -1/2 41/12 -1/4 0/1 65/19 -1/4 89/26 -1/6 24/7 -1/7 0/1 31/9 0/1 38/11 0/1 1/11 7/2 0/1 1/2 39/11 1/2 32/9 0/1 1/1 25/7 1/1 43/12 3/2 104/29 1/1 2/1 61/17 7/4 18/5 2/1 3/1 47/13 1/0 76/21 -11/1 -10/1 29/8 -4/1 1/0 40/11 -3/1 -2/1 11/3 -1/2 37/10 -1/10 0/1 63/17 0/1 26/7 0/1 1/7 15/4 0/1 1/2 49/13 1/2 34/9 0/1 1/3 19/5 0/1 23/6 1/2 2/3 27/7 1/0 31/8 5/6 1/1 4/1 1/0 25/6 -1/1 -3/4 21/5 -1/2 38/9 0/1 1/3 17/4 0/1 1/0 47/11 -1/2 77/18 1/0 30/7 -1/1 0/1 43/10 -1/2 0/1 13/3 0/1 48/11 0/1 1/3 35/8 0/1 1/4 22/5 4/5 1/1 9/2 -1/1 1/0 32/7 -2/1 -1/1 55/12 -1/1 -9/10 23/5 -1/2 83/18 -1/2 0/1 60/13 0/1 1/1 97/21 -3/2 37/8 -1/2 51/11 -1/2 65/14 -1/2 0/1 14/3 -1/3 0/1 33/7 0/1 52/11 0/1 1/11 19/4 0/1 1/4 43/9 1/2 24/5 0/1 1/3 29/6 1/2 63/13 3/4 34/7 1/1 6/5 5/1 1/0 21/4 1/0 37/7 -1/2 16/3 0/1 1/3 11/2 1/1 1/0 28/5 2/1 3/1 17/3 1/0 40/7 -4/1 -3/1 23/4 -2/1 1/0 29/5 -3/2 35/6 -1/1 -3/4 6/1 -1/1 0/1 19/3 1/2 51/8 0/1 1/0 32/5 0/1 1/1 45/7 1/2 13/2 1/0 33/5 -1/2 20/3 1/1 2/1 27/4 -1/1 -1/2 34/5 -4/3 -1/1 7/1 0/1 29/4 0/1 1/0 22/3 1/0 15/2 1/1 1/0 8/1 0/1 1/1 9/1 1/0 10/1 0/1 1/1 11/1 1/0 12/1 -1/1 0/1 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(993,472,608,289) (-1/2,-8/17) -> (80/49,49/30) Hyperbolic Matrix(827,388,-2108,-989) (-8/17,-7/15) -> (-31/79,-20/51) Hyperbolic Matrix(525,244,596,277) (-7/15,-13/28) -> (7/8,15/17) Hyperbolic Matrix(1563,724,-3724,-1725) (-13/28,-6/13) -> (-34/81,-47/112) Hyperbolic Matrix(367,168,592,271) (-6/13,-5/11) -> (13/21,18/29) Hyperbolic Matrix(1317,596,2044,925) (-5/11,-19/42) -> (9/14,29/45) Hyperbolic Matrix(2773,1254,586,265) (-19/42,-14/31) -> (52/11,19/4) Hyperbolic Matrix(4445,2006,1314,593) (-14/31,-23/51) -> (71/21,44/13) Hyperbolic Matrix(1017,458,-2618,-1179) (-23/51,-9/20) -> (-7/18,-33/85) Hyperbolic Matrix(365,164,-1164,-523) (-9/20,-13/29) -> (-11/35,-5/16) Hyperbolic Matrix(3769,1688,1592,713) (-13/29,-17/38) -> (71/30,45/19) Hyperbolic Matrix(1593,712,2168,969) (-17/38,-4/9) -> (36/49,25/34) Hyperbolic Matrix(785,346,574,253) (-4/9,-11/25) -> (15/11,26/19) Hyperbolic Matrix(1929,848,712,313) (-11/25,-18/41) -> (46/17,19/7) Hyperbolic Matrix(73,32,568,249) (-18/41,-7/16) -> (1/8,2/15) Hyperbolic Matrix(993,434,286,125) (-7/16,-24/55) -> (38/11,7/2) Hyperbolic Matrix(5745,2506,2414,1053) (-24/55,-17/39) -> (69/29,50/21) Hyperbolic Matrix(919,400,1560,679) (-17/39,-10/23) -> (10/17,23/39) Hyperbolic Matrix(355,154,846,367) (-10/23,-3/7) -> (13/31,8/19) Hyperbolic Matrix(489,208,1112,473) (-3/7,-14/33) -> (18/41,11/25) Hyperbolic Matrix(1665,706,974,413) (-14/33,-11/26) -> (41/24,12/7) Hyperbolic Matrix(3185,1346,4574,1933) (-11/26,-30/71) -> (16/23,39/56) Hyperbolic Matrix(18213,7694,7066,2985) (-30/71,-49/116) -> (67/26,116/45) Hyperbolic Matrix(8657,3656,6784,2865) (-49/116,-19/45) -> (37/29,97/76) Hyperbolic Matrix(2009,848,552,233) (-19/45,-8/19) -> (40/11,11/3) Hyperbolic Matrix(1103,464,416,175) (-8/19,-21/50) -> (37/14,8/3) Hyperbolic Matrix(13171,5530,5790,2431) (-21/50,-55/131) -> (25/11,91/40) Hyperbolic Matrix(14545,6106,4414,1853) (-55/131,-34/81) -> (56/17,89/27) Hyperbolic Matrix(7651,3210,1790,751) (-47/112,-13/31) -> (47/11,77/18) Hyperbolic Matrix(1241,520,4680,1961) (-13/31,-31/74) -> (9/34,13/49) Hyperbolic Matrix(1581,662,1378,577) (-31/74,-18/43) -> (8/7,23/20) Hyperbolic Matrix(67,28,-548,-229) (-18/43,-5/12) -> (-1/8,-2/17) Hyperbolic Matrix(207,86,-686,-285) (-5/12,-12/29) -> (-10/33,-3/10) Hyperbolic Matrix(479,198,1362,563) (-12/29,-19/46) -> (7/20,6/17) Hyperbolic Matrix(4089,1688,952,393) (-19/46,-26/63) -> (30/7,43/10) Hyperbolic Matrix(747,308,2452,1011) (-26/63,-7/17) -> (7/23,18/59) Hyperbolic Matrix(205,84,676,277) (-7/17,-9/22) -> (3/10,7/23) Hyperbolic Matrix(475,194,-1354,-553) (-9/22,-11/27) -> (-13/37,-7/20) Hyperbolic Matrix(1013,412,268,109) (-11/27,-2/5) -> (34/9,19/5) Hyperbolic Matrix(727,286,394,155) (-2/5,-11/28) -> (11/6,24/13) Hyperbolic Matrix(2567,1008,792,311) (-11/28,-31/79) -> (55/17,13/4) Hyperbolic Matrix(1251,490,-4210,-1649) (-20/51,-9/23) -> (-11/37,-30/101) Hyperbolic Matrix(195,76,-916,-357) (-9/23,-7/18) -> (-3/14,-7/33) Hyperbolic Matrix(13143,5102,5098,1979) (-33/85,-26/67) -> (116/45,49/19) Hyperbolic Matrix(4181,1622,1178,457) (-26/67,-19/49) -> (39/11,32/9) 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(715,276,1044,403) (-17/44,-5/13) -> (13/19,11/16) Hyperbolic Matrix(1749,670,650,249) (-5/13,-18/47) -> (8/3,35/13) Hyperbolic Matrix(1233,472,128,49) (-18/47,-31/81) -> (9/1,10/1) Hyperbolic Matrix(3371,1290,5830,2231) (-31/81,-13/34) -> (37/64,11/19) Hyperbolic Matrix(2461,940,1940,741) (-13/34,-21/55) -> (19/15,33/26) Hyperbolic Matrix(2525,964,516,197) (-21/55,-50/131) -> (34/7,5/1) Hyperbolic Matrix(20961,8000,12160,4641) (-50/131,-29/76) -> (131/76,50/29) Hyperbolic Matrix(5625,2146,3494,1333) (-29/76,-8/21) -> (66/41,29/18) Hyperbolic Matrix(515,196,1164,443) (-8/21,-19/50) -> (15/34,4/9) Hyperbolic Matrix(453,172,-2452,-931) (-19/50,-11/29) -> (-5/27,-7/38) Hyperbolic Matrix(191,72,-512,-193) (-11/29,-3/8) -> (-3/8,-13/35) Parabolic Matrix(1527,566,634,235) (-13/35,-10/27) -> (12/5,41/17) Hyperbolic Matrix(319,118,1522,563) (-10/27,-17/46) -> (5/24,4/19) Hyperbolic Matrix(6785,2506,3934,1453) (-17/46,-24/65) -> (50/29,69/40) Hyperbolic Matrix(2411,890,4310,1591) (-24/65,-7/19) -> (33/59,14/25) Hyperbolic Matrix(1457,536,1264,465) (-7/19,-25/68) -> (23/20,15/13) Hyperbolic Matrix(4615,1696,7464,2743) (-25/68,-18/49) -> (34/55,47/76) Hyperbolic Matrix(883,324,-3284,-1205) (-18/49,-11/30) -> (-7/26,-18/67) Hyperbolic Matrix(945,346,254,93) (-11/30,-4/11) -> (26/7,15/4) Hyperbolic Matrix(437,158,-1878,-679) (-4/11,-13/36) -> (-7/30,-10/43) Hyperbolic Matrix(877,316,1124,405) (-13/36,-9/25) -> (7/9,25/32) Hyperbolic Matrix(1813,652,748,269) (-9/25,-14/39) -> (46/19,17/7) Hyperbolic Matrix(2621,940,1620,581) (-14/39,-5/14) -> (55/34,34/21) Hyperbolic Matrix(309,110,250,89) (-5/14,-6/17) -> (16/13,5/4) Hyperbolic Matrix(2161,760,2960,1041) (-6/17,-13/37) -> (27/37,46/63) Hyperbolic Matrix(1901,662,738,257) (-7/20,-8/23) -> (18/7,67/26) Hyperbolic Matrix(793,274,246,85) (-8/23,-1/3) -> (29/9,42/13) Hyperbolic Matrix(765,244,116,37) (-1/3,-7/22) -> (13/2,33/5) Hyperbolic Matrix(997,316,1404,445) (-7/22,-6/19) -> (22/31,27/38) Hyperbolic Matrix(1167,368,352,111) (-6/19,-11/35) -> (43/13,10/3) Hyperbolic Matrix(289,90,350,109) (-5/16,-4/13) -> (14/17,5/6) Hyperbolic Matrix(1497,458,2422,741) (-4/13,-11/36) -> (21/34,34/55) Hyperbolic Matrix(1037,316,804,245) (-11/36,-7/23) -> (9/7,31/24) Hyperbolic Matrix(1609,488,1032,313) (-7/23,-10/33) -> (14/9,39/25) Hyperbolic Matrix(341,102,458,137) (-3/10,-14/47) -> (20/27,3/4) Hyperbolic Matrix(2393,712,568,169) (-14/47,-11/37) -> (21/5,38/9) Hyperbolic Matrix(10525,3126,3074,913) (-30/101,-19/64) -> (89/26,24/7) Hyperbolic Matrix(3525,1046,1594,473) (-19/64,-8/27) -> (42/19,31/14) Hyperbolic Matrix(6419,1898,4542,1343) (-21/71,-13/44) -> (65/46,41/29) Hyperbolic Matrix(1761,520,4880,1441) (-13/44,-18/61) -> (22/61,13/36) Hyperbolic Matrix(1363,402,-6242,-1841) (-18/61,-5/17) -> (-19/87,-12/55) Hyperbolic Matrix(171,50,790,231) (-5/17,-7/24) -> (3/14,5/23) Hyperbolic Matrix(563,164,1356,395) (-7/24,-9/31) -> (17/41,5/12) Hyperbolic Matrix(955,276,564,163) (-9/31,-2/7) -> (22/13,39/23) Hyperbolic Matrix(779,220,2900,819) (-2/7,-11/39) -> (11/41,18/67) Hyperbolic Matrix(2117,596,444,125) (-11/39,-9/32) -> (19/4,43/9) Hyperbolic Matrix(1445,406,1114,313) (-9/32,-7/25) -> (35/27,13/10) Hyperbolic Matrix(165,46,-886,-247) (-7/25,-5/18) -> (-3/16,-5/27) Hyperbolic Matrix(607,168,112,31) (-5/18,-8/29) -> (16/3,11/2) 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(881,242,-4962,-1363) (-11/40,-14/51) -> (-8/45,-11/62) Hyperbolic Matrix(2591,710,770,211) (-14/51,-3/11) -> (37/11,64/19) Hyperbolic Matrix(1479,400,440,119) (-3/11,-10/37) -> (10/3,37/11) 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(927,248,1312,351) (-11/41,-4/15) -> (12/17,29/41) Hyperbolic Matrix(707,188,-3268,-869) (-4/15,-13/49) -> (-21/97,-8/37) Hyperbolic Matrix(2287,606,434,115) (-13/49,-9/34) -> (21/4,37/7) Hyperbolic Matrix(1195,316,1524,403) (-9/34,-5/19) -> (29/37,11/14) Hyperbolic Matrix(1357,356,324,85) (-5/19,-11/42) -> (25/6,21/5) Hyperbolic Matrix(1461,382,218,57) (-11/42,-6/23) -> (20/3,27/4) Hyperbolic Matrix(55,14,106,27) (-6/23,-1/4) -> (1/2,8/15) Hyperbolic Matrix(1319,318,842,203) (-1/4,-6/25) -> (36/23,47/30) Hyperbolic Matrix(1157,276,524,125) (-6/25,-5/21) -> (11/5,42/19) Hyperbolic Matrix(1153,274,526,125) (-5/21,-9/38) -> (35/16,11/5) Hyperbolic Matrix(1361,322,1678,397) (-9/38,-4/17) -> (30/37,13/16) Hyperbolic Matrix(889,208,312,73) (-4/17,-7/30) -> (17/6,20/7) Hyperbolic Matrix(1717,398,522,121) (-10/43,-3/13) -> (23/7,56/17) Hyperbolic Matrix(675,154,206,47) (-3/13,-5/22) -> (13/4,23/7) Hyperbolic Matrix(723,164,1036,235) (-5/22,-7/31) -> (23/33,7/10) Hyperbolic Matrix(1083,244,2996,675) (-7/31,-9/40) -> (13/36,17/47) Hyperbolic Matrix(1753,394,1446,325) (-9/40,-2/9) -> (40/33,17/14) Hyperbolic Matrix(719,158,2562,563) (-2/9,-9/41) -> (7/25,16/57) Hyperbolic Matrix(155,34,1126,247) (-9/41,-7/32) -> (3/22,1/7) Hyperbolic Matrix(2151,470,4810,1051) (-7/32,-19/87) -> (21/47,17/38) Hyperbolic Matrix(3477,758,922,201) (-12/55,-5/23) -> (49/13,34/9) Hyperbolic Matrix(2247,488,1432,311) (-5/23,-18/83) -> (58/37,11/7) Hyperbolic Matrix(3727,808,512,111) (-18/83,-13/60) -> (29/4,22/3) Hyperbolic Matrix(2807,608,9192,1991) (-13/60,-21/97) -> (29/95,11/36) Hyperbolic Matrix(815,176,2144,463) (-8/37,-3/14) -> (19/50,8/21) Hyperbolic Matrix(1165,246,914,193) (-7/33,-4/19) -> (14/11,37/29) Hyperbolic Matrix(709,148,1212,253) (-4/19,-5/24) -> (7/12,24/41) Hyperbolic Matrix(959,198,402,83) (-5/24,-1/5) -> (31/13,43/18) Hyperbolic Matrix(445,84,196,37) (-1/5,-3/16) -> (9/4,25/11) Hyperbolic Matrix(2793,514,1766,325) (-7/38,-2/11) -> (68/43,19/12) Hyperbolic Matrix(1465,264,2536,457) (-2/11,-7/39) -> (41/71,26/45) Hyperbolic Matrix(145,26,-1266,-227) (-7/39,-5/28) -> (-3/26,-1/9) Hyperbolic Matrix(1459,260,780,139) (-5/28,-8/45) -> (28/15,15/8) Hyperbolic Matrix(6371,1130,2430,431) (-11/62,-3/17) -> (97/37,21/8) Hyperbolic Matrix(923,162,678,119) (-3/17,-4/23) -> (34/25,15/11) Hyperbolic Matrix(47,8,-288,-49) (-4/23,-1/6) -> (-1/6,-4/25) Parabolic 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(569,88,472,73) (-5/32,-2/13) -> (6/5,29/24) Hyperbolic Matrix(331,50,470,71) (-2/13,-1/7) -> (19/27,12/17) Hyperbolic Matrix(233,32,648,89) (-1/7,-2/15) -> (14/39,9/25) Hyperbolic Matrix(47,6,274,35) (-2/15,-1/8) -> (1/6,4/23) Hyperbolic Matrix(951,110,2170,251) (-2/17,-3/26) -> (7/16,32/73) Hyperbolic Matrix(313,32,88,9) (-1/9,0/1) -> (32/9,25/7) Hyperbolic Matrix(253,-26,146,-15) (0/1,1/8) -> (45/26,26/15) Hyperbolic Matrix(1447,-194,634,-85) (2/15,3/22) -> (73/32,16/7) Hyperbolic Matrix(173,-28,68,-11) (1/7,1/6) -> (5/2,23/9) 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(237,-44,404,-75) (2/11,1/5) -> (17/29,10/17) Hyperbolic Matrix(763,-158,198,-41) (1/5,5/24) -> (23/6,27/7) Hyperbolic Matrix(1223,-258,858,-181) (4/19,7/33) -> (47/33,10/7) Hyperbolic Matrix(1879,-400,1320,-281) (7/33,3/14) -> (37/26,47/33) Hyperbolic Matrix(263,-58,458,-101) (5/23,2/9) -> (4/7,19/33) Hyperbolic Matrix(883,-198,718,-161) (2/9,7/31) -> (43/35,16/13) Hyperbolic Matrix(2317,-524,5284,-1195) (7/31,12/53) -> (32/73,25/57) Hyperbolic Matrix(2151,-488,3848,-873) (12/53,5/22) -> (19/34,52/93) Hyperbolic Matrix(1237,-282,522,-119) (5/22,3/13) -> (45/19,19/8) Hyperbolic Matrix(33,-8,128,-31) (3/13,1/4) -> (1/4,5/19) Parabolic Matrix(2089,-552,632,-167) (5/19,9/34) -> (33/10,43/13) Hyperbolic Matrix(4077,-1082,1202,-319) (13/49,4/15) -> (78/23,17/5) Hyperbolic Matrix(853,-228,1388,-371) (4/15,11/41) -> (35/57,8/13) Hyperbolic Matrix(5329,-1432,3152,-847) (18/67,7/26) -> (71/42,22/13) 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(471,-130,250,-69) (8/29,5/18) -> (15/8,2/1) Hyperbolic Matrix(1439,-402,562,-157) (5/18,7/25) -> (23/9,41/16) Hyperbolic Matrix(2187,-614,374,-105) (16/57,9/32) -> (35/6,6/1) Hyperbolic Matrix(1933,-546,1186,-335) (9/32,2/7) -> (44/27,75/46) Hyperbolic Matrix(155,-46,246,-73) (2/7,3/10) -> (5/8,12/19) Hyperbolic Matrix(24455,-7464,17224,-5257) (18/59,29/95) -> (115/81,186/131) Hyperbolic Matrix(5759,-1762,2082,-637) (11/36,15/49) -> (47/17,83/30) Hyperbolic Matrix(3521,-1080,1040,-319) (15/49,4/13) -> (44/13,105/31) Hyperbolic Matrix(1315,-406,366,-113) (4/13,9/29) -> (61/17,18/5) Hyperbolic Matrix(1769,-550,550,-171) (9/29,5/16) -> (45/14,29/9) Hyperbolic Matrix(791,-248,488,-153) (5/16,1/3) -> (47/29,13/8) Hyperbolic Matrix(1423,-496,416,-145) (1/3,7/20) -> (41/12,65/19) 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(2293,-826,3706,-1335) (9/25,22/61) -> (60/97,13/21) Hyperbolic Matrix(4847,-1754,2114,-765) (17/47,4/11) -> (94/41,39/17) Hyperbolic Matrix(205,-76,116,-43) (4/11,3/8) -> (7/4,16/9) Hyperbolic Matrix(639,-242,1682,-637) (3/8,11/29) -> (11/29,19/50) Parabolic Matrix(493,-188,868,-331) (8/21,13/34) -> (17/30,4/7) Hyperbolic Matrix(13365,-5114,7754,-2967) (13/34,31/81) -> (81/47,131/76) Hyperbolic Matrix(5987,-2292,1852,-709) (31/81,18/47) -> (42/13,55/17) Hyperbolic Matrix(433,-166,926,-355) (18/47,5/13) -> (7/15,8/17) Hyperbolic Matrix(491,-190,230,-89) (5/13,12/31) -> (2/1,15/7) Hyperbolic Matrix(1037,-402,1442,-559) (12/31,7/18) -> (23/32,18/25) Hyperbolic Matrix(1439,-562,402,-157) (7/18,9/23) -> (25/7,43/12) Hyperbolic Matrix(1493,-586,2586,-1015) (9/23,11/28) -> (15/26,41/71) Hyperbolic Matrix(1663,-656,976,-385) (11/28,2/5) -> (46/27,75/44) Hyperbolic Matrix(3271,-1328,968,-393) (2/5,13/32) -> (27/8,98/29) Hyperbolic Matrix(3641,-1480,1080,-439) (13/32,11/27) -> (91/27,27/8) Hyperbolic Matrix(1675,-684,1364,-557) (11/27,9/22) -> (27/22,43/35) Hyperbolic Matrix(1475,-604,2044,-837) (9/22,16/39) -> (44/61,13/18) Hyperbolic Matrix(4395,-1804,7204,-2957) (16/39,23/56) -> (61/100,36/59) Hyperbolic Matrix(6917,-2842,2042,-839) (23/56,7/17) -> (105/31,61/18) Hyperbolic Matrix(1699,-702,622,-257) (7/17,12/29) -> (30/11,41/15) Hyperbolic Matrix(1583,-656,736,-305) (12/29,17/41) -> (15/7,28/13) Hyperbolic Matrix(507,-212,452,-189) (5/12,18/43) -> (10/9,9/8) Hyperbolic Matrix(2087,-874,394,-165) (18/43,13/31) -> (37/7,16/3) Hyperbolic Matrix(1237,-522,282,-119) (8/19,11/26) -> (35/8,22/5) Hyperbolic Matrix(589,-250,450,-191) (11/26,3/7) -> (17/13,21/16) Hyperbolic Matrix(363,-158,278,-121) (3/7,7/16) -> (13/10,17/13) Hyperbolic Matrix(7841,-3440,3280,-1439) (25/57,18/41) -> (98/41,55/23) Hyperbolic Matrix(1193,-526,2166,-955) (11/25,15/34) -> (11/20,27/49) Hyperbolic Matrix(663,-296,56,-25) (4/9,21/47) -> (11/1,12/1) Hyperbolic Matrix(4283,-1918,1878,-841) (17/38,13/29) -> (57/25,73/32) Hyperbolic Matrix(1407,-632,1712,-769) (13/29,9/20) -> (23/28,37/45) Hyperbolic Matrix(633,-286,166,-75) (9/20,5/11) -> (19/5,23/6) Hyperbolic Matrix(439,-202,602,-277) (5/11,6/13) -> (8/11,27/37) Hyperbolic Matrix(1583,-736,656,-305) (6/13,7/15) -> (41/17,70/29) Hyperbolic Matrix(841,-398,598,-283) (8/17,1/2) -> (45/32,38/27) Hyperbolic Matrix(1693,-908,468,-251) (8/15,7/13) -> (47/13,76/21) Hyperbolic Matrix(751,-408,208,-113) (7/13,6/11) -> (18/5,47/13) Hyperbolic Matrix(413,-226,466,-255) (6/11,17/31) -> (15/17,8/9) Hyperbolic Matrix(2581,-1418,1498,-823) (17/31,11/20) -> (31/18,81/47) Hyperbolic Matrix(5491,-3028,3868,-2133) (27/49,16/29) -> (44/31,115/81) Hyperbolic Matrix(643,-356,876,-485) (16/29,5/9) -> (11/15,36/49) Hyperbolic Matrix(6601,-3678,2518,-1403) (5/9,29/52) -> (173/66,97/37) Hyperbolic Matrix(667,-372,52,-29) (29/52,24/43) -> (12/1,1/0) Hyperbolic Matrix(11653,-6506,8266,-4615) (24/43,43/77) -> (117/83,86/61) Hyperbolic Matrix(6365,-3556,4516,-2523) (43/77,19/34) -> (31/22,117/83) Hyperbolic Matrix(18343,-10258,6618,-3701) (52/93,33/59) -> (97/35,158/57) Hyperbolic Matrix(1127,-632,872,-489) (14/25,9/16) -> (31/24,22/17) Hyperbolic Matrix(485,-274,154,-87) (9/16,13/23) -> (3/1,19/6) Hyperbolic Matrix(2529,-1432,1072,-607) (13/23,17/30) -> (33/14,59/25) Hyperbolic Matrix(2359,-1360,1320,-761) (19/33,15/26) -> (25/14,59/33) Hyperbolic Matrix(5221,-3018,7098,-4103) (26/45,37/64) -> (25/34,64/87) Hyperbolic Matrix(557,-324,404,-235) (11/19,7/12) -> (11/8,29/21) Hyperbolic Matrix(2547,-1492,3532,-2069) (24/41,17/29) -> (31/43,44/61) Hyperbolic Matrix(2565,-1514,554,-327) (23/39,13/22) -> (37/8,51/11) Hyperbolic Matrix(151,-90,250,-149) (13/22,3/5) -> (3/5,17/28) Parabolic Matrix(4603,-2796,996,-605) (17/28,31/51) -> (97/21,37/8) Hyperbolic Matrix(10001,-6080,5920,-3599) (31/51,45/74) -> (125/74,49/29) Hyperbolic Matrix(15397,-9364,10844,-6595) (45/74,14/23) -> (186/131,71/50) Hyperbolic Matrix(18509,-11290,11330,-6911) (25/41,61/100) -> (49/30,165/101) Hyperbolic Matrix(6557,-4002,2882,-1759) (36/59,11/18) -> (91/40,66/29) Hyperbolic Matrix(1265,-774,894,-547) (11/18,19/31) -> (41/29,17/12) Hyperbolic Matrix(1933,-1186,546,-335) (19/31,27/44) -> (7/2,39/11) Hyperbolic Matrix(8899,-5462,5502,-3377) (27/44,35/57) -> (131/81,55/34) Hyperbolic Matrix(791,-488,248,-153) (8/13,21/34) -> (19/6,16/5) Hyperbolic Matrix(11393,-7046,8206,-5075) (47/76,60/97) -> (118/85,25/18) Hyperbolic Matrix(543,-338,98,-61) (18/29,5/8) -> (11/2,28/5) Hyperbolic Matrix(539,-342,342,-217) (12/19,7/11) -> (11/7,30/19) Hyperbolic Matrix(1879,-1200,440,-281) (7/11,23/36) -> (17/4,47/11) Hyperbolic Matrix(6321,-4040,4880,-3119) (23/36,39/61) -> (79/61,57/44) Hyperbolic Matrix(2733,-1748,1268,-811) (39/61,16/25) -> (28/13,41/19) Hyperbolic Matrix(877,-562,1122,-719) (16/25,9/14) -> (25/32,18/23) Hyperbolic Matrix(4791,-3088,2968,-1913) (29/45,20/31) -> (92/57,21/13) Hyperbolic Matrix(2383,-1538,1458,-941) (20/31,11/17) -> (67/41,18/11) Hyperbolic Matrix(1383,-898,1018,-661) (11/17,13/20) -> (19/14,53/39) Hyperbolic Matrix(2229,-1450,970,-631) (13/20,15/23) -> (85/37,23/10) Hyperbolic Matrix(1693,-1108,628,-411) (15/23,2/3) -> (62/23,89/33) Hyperbolic Matrix(1283,-876,476,-325) (2/3,13/19) -> (35/13,62/23) Hyperbolic Matrix(805,-556,236,-163) (11/16,9/13) -> (17/5,41/12) Hyperbolic Matrix(1959,-1360,520,-361) (9/13,25/36) -> (15/4,49/13) Hyperbolic Matrix(2243,-1558,1038,-721) (25/36,41/59) -> (41/19,13/6) Hyperbolic Matrix(3115,-2166,2406,-1673) (41/59,16/23) -> (22/17,79/61) Hyperbolic Matrix(5517,-3844,2404,-1675) (39/56,23/33) -> (39/17,101/44) Hyperbolic Matrix(1269,-892,892,-627) (7/10,19/27) -> (27/19,37/26) Hyperbolic Matrix(3819,-2702,2342,-1657) (29/41,17/24) -> (75/46,31/19) Hyperbolic Matrix(2153,-1526,1686,-1195) (17/24,22/31) -> (60/47,23/18) Hyperbolic Matrix(1801,-1280,280,-199) (27/38,5/7) -> (45/7,13/2) Hyperbolic Matrix(3425,-2456,2096,-1503) (5/7,28/39) -> (116/71,67/41) Hyperbolic Matrix(5005,-3596,1396,-1003) (28/39,23/32) -> (43/12,104/29) Hyperbolic Matrix(3999,-2882,2882,-2077) (18/25,31/43) -> (43/31,68/49) Hyperbolic Matrix(557,-404,324,-235) (13/18,8/11) -> (12/7,31/18) Hyperbolic Matrix(6865,-5014,4254,-3107) (46/63,19/26) -> (71/44,92/57) Hyperbolic Matrix(669,-490,370,-271) (19/26,11/15) -> (9/5,29/16) Hyperbolic Matrix(18413,-13546,10786,-7935) (64/87,39/53) -> (169/99,70/41) Hyperbolic Matrix(6543,-4816,1936,-1425) (39/53,14/19) -> (98/29,71/21) Hyperbolic Matrix(783,-578,1058,-781) (14/19,17/23) -> (17/23,20/27) Parabolic Matrix(113,-86,46,-35) (3/4,7/9) -> (17/7,5/2) Hyperbolic Matrix(2153,-1686,1526,-1195) (18/23,29/37) -> (55/39,24/17) Hyperbolic Matrix(469,-370,90,-71) (11/14,15/19) -> (5/1,21/4) Hyperbolic Matrix(557,-442,402,-319) (15/19,4/5) -> (18/13,43/31) Hyperbolic Matrix(1351,-1088,488,-393) (4/5,21/26) -> (83/30,36/13) Hyperbolic Matrix(2765,-2236,1636,-1323) (21/26,17/21) -> (49/29,71/42) Hyperbolic Matrix(4441,-3598,1238,-1003) (17/21,30/37) -> (104/29,61/17) Hyperbolic Matrix(397,-324,484,-395) (13/16,9/11) -> (9/11,23/28) Parabolic Matrix(4235,-3484,1844,-1517) (37/45,14/17) -> (62/27,85/37) Hyperbolic Matrix(195,-164,44,-37) (5/6,6/7) -> (22/5,9/2) Hyperbolic Matrix(923,-796,516,-445) (6/7,13/15) -> (59/33,34/19) Hyperbolic Matrix(4153,-3608,2568,-2231) (13/15,20/23) -> (76/47,131/81) Hyperbolic Matrix(2011,-1750,470,-409) (20/23,7/8) -> (77/18,30/7) 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(281,-318,38,-43) (9/8,8/7) -> (22/3,15/2) Hyperbolic Matrix(853,-986,186,-215) (15/13,7/6) -> (55/12,23/5) Hyperbolic Matrix(165,-194,74,-87) (7/6,6/5) -> (20/9,9/4) Hyperbolic Matrix(2245,-2716,796,-963) (29/24,23/19) -> (31/11,79/28) Hyperbolic Matrix(4341,-5260,940,-1139) (23/19,40/33) -> (60/13,97/21) Hyperbolic Matrix(397,-484,324,-395) (17/14,11/9) -> (11/9,27/22) Parabolic Matrix(1471,-1850,850,-1069) (5/4,29/23) -> (109/63,45/26) Hyperbolic Matrix(1591,-2008,248,-313) (29/23,24/19) -> (32/5,45/7) Hyperbolic Matrix(7351,-9290,2650,-3349) (24/19,67/53) -> (147/53,86/31) Hyperbolic Matrix(8231,-10408,2968,-3753) (67/53,43/34) -> (61/22,147/53) Hyperbolic Matrix(2471,-3128,1448,-1833) (43/34,19/15) -> (29/17,99/58) Hyperbolic Matrix(2167,-2752,952,-1209) (33/26,14/11) -> (66/29,41/18) Hyperbolic Matrix(14919,-19042,5482,-6997) (97/76,60/47) -> (166/61,49/18) Hyperbolic Matrix(877,-1122,562,-719) (23/18,9/7) -> (39/25,25/16) Hyperbolic Matrix(2213,-2868,348,-451) (57/44,35/27) -> (19/3,51/8) Hyperbolic Matrix(811,-1070,310,-409) (21/16,4/3) -> (34/13,89/34) Hyperbolic Matrix(631,-850,170,-229) (4/3,23/17) -> (63/17,26/7) Hyperbolic Matrix(1511,-2048,408,-553) (23/17,19/14) -> (37/10,63/17) Hyperbolic Matrix(5221,-7098,3018,-4103) (53/39,34/25) -> (64/37,109/63) Hyperbolic Matrix(439,-602,202,-277) (26/19,11/8) -> (13/6,24/11) Hyperbolic Matrix(285,-394,34,-47) (29/21,18/13) -> (8/1,9/1) Hyperbolic Matrix(12463,-17298,8978,-12461) (68/49,93/67) -> (93/67,118/85) Parabolic Matrix(1037,-1442,402,-559) (25/18,7/5) -> (49/19,31/12) Hyperbolic Matrix(5903,-8298,3458,-4861) (7/5,45/32) -> (99/58,169/99) Hyperbolic Matrix(3189,-4490,1130,-1591) (38/27,31/22) -> (79/28,48/17) Hyperbolic Matrix(14589,-20570,8930,-12591) (86/61,55/39) -> (165/101,116/71) Hyperbolic Matrix(2023,-2858,298,-421) (24/17,65/46) -> (27/4,34/5) Hyperbolic Matrix(1373,-1948,628,-891) (17/12,44/31) -> (24/11,35/16) Hyperbolic Matrix(2115,-3004,364,-517) (71/50,27/19) -> (29/5,35/6) Hyperbolic Matrix(49,-72,32,-47) (10/7,3/2) -> (3/2,14/9) Parabolic Matrix(2715,-4244,1124,-1757) (25/16,61/39) -> (99/41,29/12) Hyperbolic Matrix(4039,-6320,1560,-2441) (61/39,36/23) -> (44/17,101/39) Hyperbolic Matrix(6997,-10964,2524,-3955) (47/30,58/37) -> (158/57,61/22) Hyperbolic Matrix(3039,-4802,1922,-3037) (30/19,49/31) -> (49/31,68/43) Parabolic Matrix(773,-1226,186,-295) (19/12,46/29) -> (4/1,25/6) Hyperbolic Matrix(1083,-1718,278,-441) (46/29,73/46) -> (31/8,4/1) Hyperbolic Matrix(4159,-6602,1762,-2797) (73/46,27/17) -> (59/25,85/36) Hyperbolic Matrix(355,-564,124,-197) (27/17,8/5) -> (20/7,3/1) Hyperbolic Matrix(1547,-2494,214,-345) (29/18,79/49) -> (7/1,29/4) Hyperbolic Matrix(1883,-3036,276,-445) (79/49,50/31) -> (34/5,7/1) Hyperbolic Matrix(7439,-12002,3122,-5037) (50/31,71/44) -> (81/34,112/47) Hyperbolic Matrix(2293,-3706,826,-1335) (21/13,76/47) -> (86/31,25/9) Hyperbolic Matrix(3359,-5442,1282,-2077) (34/21,47/29) -> (55/21,76/29) Hyperbolic Matrix(3089,-5030,670,-1091) (13/8,57/35) -> (23/5,83/18) Hyperbolic Matrix(3879,-6320,1400,-2281) (57/35,44/27) -> (36/13,97/35) 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(3437,-5802,1042,-1759) (27/16,76/45) -> (122/37,33/10) Hyperbolic Matrix(47319,-79922,14042,-23717) (76/45,201/119) -> (401/119,246/73) Hyperbolic Matrix(48119,-81280,14280,-24121) (201/119,125/74) -> (155/46,401/119) Hyperbolic Matrix(1127,-1914,474,-805) (39/23,17/10) -> (19/8,69/29) Hyperbolic Matrix(1021,-1738,178,-303) (17/10,46/27) -> (40/7,23/4) Hyperbolic Matrix(1715,-2924,444,-757) (75/44,29/17) -> (27/7,31/8) Hyperbolic Matrix(5629,-9612,2452,-4187) (70/41,41/24) -> (101/44,62/27) Hyperbolic Matrix(263,-458,58,-101) (26/15,7/4) -> (9/2,32/7) Hyperbolic Matrix(905,-1614,374,-667) (16/9,25/14) -> (29/12,46/19) Hyperbolic Matrix(701,-1258,258,-463) (34/19,9/5) -> (19/7,68/25) Hyperbolic Matrix(1691,-3070,710,-1289) (29/16,20/11) -> (50/21,81/34) Hyperbolic Matrix(213,-388,28,-51) (20/11,11/6) -> (15/2,8/1) Hyperbolic Matrix(365,-676,196,-363) (24/13,13/7) -> (13/7,28/15) Parabolic Matrix(597,-1324,124,-275) (31/14,20/9) -> (24/5,29/6) Hyperbolic Matrix(3843,-8756,1196,-2725) (41/18,98/43) -> (106/33,45/14) Hyperbolic Matrix(791,-1810,170,-389) (16/7,55/24) -> (65/14,14/3) Hyperbolic Matrix(8917,-20442,3402,-7799) (55/24,94/41) -> (76/29,173/66) Hyperbolic Matrix(169,-392,72,-167) (23/10,7/3) -> (7/3,33/14) Parabolic Matrix(4009,-9470,1190,-2811) (85/36,26/11) -> (64/19,155/46) Hyperbolic Matrix(1521,-3598,238,-563) (26/11,71/30) -> (51/8,32/5) Hyperbolic Matrix(5769,-13750,1750,-4171) (112/47,31/13) -> (89/27,122/37) Hyperbolic Matrix(3717,-8882,1322,-3159) (43/18,98/41) -> (104/37,45/16) Hyperbolic Matrix(7229,-17452,2132,-5147) (70/29,99/41) -> (139/41,78/23) Hyperbolic Matrix(887,-2274,314,-805) (41/16,18/7) -> (48/17,17/6) Hyperbolic Matrix(1171,-3028,268,-693) (31/12,44/17) -> (48/11,35/8) Hyperbolic Matrix(5437,-14084,1604,-4155) (101/39,57/22) -> (61/18,139/41) Hyperbolic Matrix(1447,-3752,312,-809) (57/22,13/5) -> (51/11,65/14) Hyperbolic Matrix(277,-724,44,-115) (13/5,34/13) -> (6/1,19/3) Hyperbolic Matrix(5429,-14212,2012,-5267) (89/34,144/55) -> (116/43,27/10) Hyperbolic Matrix(4179,-10942,862,-2257) (144/55,55/21) -> (63/13,34/7) Hyperbolic Matrix(639,-1682,242,-637) (21/8,29/11) -> (29/11,37/14) Parabolic Matrix(12031,-32450,3570,-9629) (89/33,116/43) -> (246/73,91/27) Hyperbolic Matrix(1253,-3386,346,-935) (27/10,46/17) -> (76/21,29/8) Hyperbolic 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(353,-968,128,-351) (41/15,11/4) -> (11/4,47/17) Parabolic Matrix(613,-1706,106,-295) (25/9,39/14) -> (23/4,29/5) 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(2189,-7492,452,-1547) (65/19,89/26) -> (29/6,63/13) Hyperbolic Matrix(559,-1922,162,-557) (24/7,31/9) -> (31/9,38/11) Parabolic Matrix(987,-4174,214,-905) (38/9,17/4) -> (83/18,60/13) Hyperbolic Matrix(463,-2178,98,-461) (14/3,33/7) -> (33/7,52/11) Parabolic Matrix(145,-694,14,-67) (43/9,24/5) -> (10/1,11/1) Hyperbolic 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(1,0,2,1) Matrix(993,472,608,289) -> Matrix(1,0,-4,1) Matrix(827,388,-2108,-989) -> Matrix(5,-2,8,-3) Matrix(525,244,596,277) -> Matrix(1,0,-4,1) Matrix(1563,724,-3724,-1725) -> Matrix(1,0,4,1) Matrix(367,168,592,271) -> Matrix(1,0,0,1) Matrix(1317,596,2044,925) -> Matrix(1,2,0,1) Matrix(2773,1254,586,265) -> Matrix(1,0,6,1) Matrix(4445,2006,1314,593) -> Matrix(1,0,-6,1) Matrix(1017,458,-2618,-1179) -> Matrix(1,0,-2,1) Matrix(365,164,-1164,-523) -> Matrix(3,-2,8,-5) Matrix(3769,1688,1592,713) -> Matrix(9,-2,-4,1) Matrix(1593,712,2168,969) -> Matrix(1,0,-8,1) Matrix(785,346,574,253) -> Matrix(1,0,2,1) Matrix(1929,848,712,313) -> Matrix(5,-2,8,-3) Matrix(73,32,568,249) -> Matrix(1,0,0,1) Matrix(993,434,286,125) -> Matrix(1,0,2,1) Matrix(5745,2506,2414,1053) -> Matrix(13,-2,-6,1) Matrix(919,400,1560,679) -> Matrix(1,0,-4,1) Matrix(355,154,846,367) -> Matrix(7,-4,2,-1) Matrix(489,208,1112,473) -> Matrix(1,-2,0,1) Matrix(1665,706,974,413) -> Matrix(1,0,-2,1) Matrix(3185,1346,4574,1933) -> Matrix(1,0,-2,1) Matrix(18213,7694,7066,2985) -> Matrix(7,-6,-22,19) Matrix(8657,3656,6784,2865) -> Matrix(9,-10,-8,9) Matrix(2009,848,552,233) -> Matrix(1,-2,0,1) Matrix(1103,464,416,175) -> Matrix(1,0,4,1) Matrix(13171,5530,5790,2431) -> Matrix(19,-2,10,-1) Matrix(14545,6106,4414,1853) -> Matrix(25,-4,-6,1) Matrix(7651,3210,1790,751) -> Matrix(1,0,-6,1) Matrix(1241,520,4680,1961) -> Matrix(1,0,-4,1) Matrix(1581,662,1378,577) -> Matrix(9,-2,14,-3) Matrix(67,28,-548,-229) -> Matrix(5,-2,8,-3) Matrix(207,86,-686,-285) -> Matrix(1,0,-2,1) Matrix(479,198,1362,563) -> Matrix(5,-2,-2,1) Matrix(4089,1688,952,393) -> Matrix(5,-2,-12,5) Matrix(747,308,2452,1011) -> Matrix(31,-14,20,-9) Matrix(205,84,676,277) -> Matrix(5,-4,4,-3) Matrix(475,194,-1354,-553) -> Matrix(1,-2,2,-3) Matrix(1013,412,268,109) -> Matrix(1,0,0,1) Matrix(727,286,394,155) -> Matrix(11,-6,2,-1) Matrix(2567,1008,792,311) -> Matrix(3,-2,8,-5) Matrix(1251,490,-4210,-1649) -> Matrix(3,-2,14,-9) Matrix(195,76,-916,-357) -> Matrix(1,0,0,1) Matrix(13143,5102,5098,1979) -> Matrix(3,-2,-10,7) Matrix(4181,1622,1178,457) -> Matrix(1,-2,2,-3) Matrix(1043,404,-3524,-1365) -> Matrix(1,0,4,1) Matrix(1825,706,654,253) -> Matrix(1,0,-2,1) Matrix(715,276,1044,403) -> Matrix(1,-2,0,1) Matrix(1749,670,650,249) -> Matrix(1,0,-2,1) Matrix(1233,472,128,49) -> Matrix(1,0,-4,1) Matrix(3371,1290,5830,2231) -> Matrix(7,-2,-10,3) Matrix(2461,940,1940,741) -> Matrix(9,-2,-4,1) Matrix(2525,964,516,197) -> Matrix(1,0,-4,1) Matrix(20961,8000,12160,4641) -> Matrix(9,-2,32,-7) Matrix(5625,2146,3494,1333) -> Matrix(17,-4,-38,9) Matrix(515,196,1164,443) -> Matrix(1,0,-4,1) Matrix(453,172,-2452,-931) -> Matrix(17,-6,20,-7) Matrix(191,72,-512,-193) -> Matrix(5,-2,8,-3) Matrix(1527,566,634,235) -> Matrix(1,0,-2,1) Matrix(319,118,1522,563) -> Matrix(5,-6,6,-7) Matrix(6785,2506,3934,1453) -> Matrix(1,0,2,1) Matrix(2411,890,4310,1591) -> Matrix(3,-4,-2,3) Matrix(1457,536,1264,465) -> Matrix(3,2,4,3) Matrix(4615,1696,7464,2743) -> Matrix(1,0,0,1) Matrix(883,324,-3284,-1205) -> Matrix(1,0,4,1) Matrix(945,346,254,93) -> Matrix(1,0,2,1) Matrix(437,158,-1878,-679) -> Matrix(15,-4,34,-9) Matrix(877,316,1124,405) -> Matrix(19,-6,16,-5) Matrix(1813,652,748,269) -> Matrix(11,-4,-8,3) Matrix(2621,940,1620,581) -> Matrix(5,-2,-12,5) Matrix(309,110,250,89) -> Matrix(9,-4,-2,1) Matrix(2161,760,2960,1041) -> Matrix(3,-2,-4,3) Matrix(1901,662,738,257) -> Matrix(1,-2,-2,5) Matrix(793,274,246,85) -> Matrix(1,0,2,1) Matrix(765,244,116,37) -> Matrix(1,0,-4,1) Matrix(997,316,1404,445) -> Matrix(13,-4,-16,5) Matrix(1167,368,352,111) -> Matrix(11,-4,-8,3) Matrix(289,90,350,109) -> Matrix(13,-6,-2,1) Matrix(1497,458,2422,741) -> Matrix(3,-2,2,-1) Matrix(1037,316,804,245) -> Matrix(7,-6,-8,7) Matrix(1609,488,1032,313) -> Matrix(1,-2,0,1) Matrix(341,102,458,137) -> Matrix(1,0,2,1) Matrix(2393,712,568,169) -> Matrix(1,0,-8,1) Matrix(10525,3126,3074,913) -> Matrix(1,0,-10,1) Matrix(3525,1046,1594,473) -> Matrix(1,0,-2,1) Matrix(6419,1898,4542,1343) -> Matrix(1,0,-2,1) Matrix(1761,520,4880,1441) -> Matrix(1,0,0,1) Matrix(1363,402,-6242,-1841) -> Matrix(9,-2,14,-3) Matrix(171,50,790,231) -> Matrix(13,-4,10,-3) Matrix(563,164,1356,395) -> Matrix(21,-8,8,-3) Matrix(955,276,564,163) -> Matrix(5,-2,8,-3) Matrix(779,220,2900,819) -> Matrix(3,-2,-4,3) Matrix(2117,596,444,125) -> Matrix(3,-2,8,-5) Matrix(1445,406,1114,313) -> Matrix(5,-4,-6,5) Matrix(165,46,-886,-247) -> Matrix(1,-2,2,-3) Matrix(607,168,112,31) -> Matrix(1,0,0,1) Matrix(4967,1368,2872,791) -> Matrix(5,-2,8,-3) Matrix(5521,1520,3200,881) -> Matrix(3,-2,8,-5) Matrix(881,242,-4962,-1363) -> Matrix(1,0,-2,1) Matrix(2591,710,770,211) -> Matrix(1,0,-2,1) Matrix(1479,400,440,119) -> Matrix(1,0,-4,1) Matrix(549,148,1532,413) -> Matrix(1,0,0,1) Matrix(5357,1438,3282,881) -> Matrix(1,0,-6,1) Matrix(927,248,1312,351) -> Matrix(1,0,-4,1) Matrix(707,188,-3268,-869) -> Matrix(17,-6,20,-7) Matrix(2287,606,434,115) -> Matrix(5,-2,-2,1) Matrix(1195,316,1524,403) -> Matrix(7,-2,4,-1) Matrix(1357,356,324,85) -> Matrix(5,-2,-12,5) Matrix(1461,382,218,57) -> Matrix(9,-4,-2,1) Matrix(55,14,106,27) -> Matrix(3,-2,2,-1) Matrix(1319,318,842,203) -> Matrix(1,0,-2,1) Matrix(1157,276,524,125) -> Matrix(1,0,0,1) Matrix(1153,274,526,125) -> Matrix(1,0,-2,1) Matrix(1361,322,1678,397) -> Matrix(11,-6,2,-1) Matrix(889,208,312,73) -> Matrix(5,-2,8,-3) Matrix(1717,398,522,121) -> Matrix(17,-8,-2,1) Matrix(675,154,206,47) -> Matrix(7,-4,2,-1) Matrix(723,164,1036,235) -> Matrix(13,-8,-8,5) Matrix(1083,244,2996,675) -> Matrix(3,-2,8,-5) Matrix(1753,394,1446,325) -> Matrix(15,-8,2,-1) Matrix(719,158,2562,563) -> Matrix(3,-2,2,-1) Matrix(155,34,1126,247) -> Matrix(1,-2,2,-3) Matrix(2151,470,4810,1051) -> Matrix(3,-2,2,-1) Matrix(3477,758,922,201) -> Matrix(3,-2,2,-1) Matrix(2247,488,1432,311) -> Matrix(3,-2,-4,3) Matrix(3727,808,512,111) -> Matrix(5,-4,4,-3) Matrix(2807,608,9192,1991) -> Matrix(27,-22,16,-13) Matrix(815,176,2144,463) -> Matrix(13,-12,12,-11) Matrix(1165,246,914,193) -> Matrix(3,-4,-2,3) Matrix(709,148,1212,253) -> Matrix(1,0,0,1) Matrix(959,198,402,83) -> Matrix(5,-2,-2,1) Matrix(445,84,196,37) -> Matrix(5,-4,4,-3) Matrix(2793,514,1766,325) -> Matrix(17,-16,-18,17) Matrix(1465,264,2536,457) -> Matrix(3,-2,-4,3) Matrix(145,26,-1266,-227) -> Matrix(5,-6,6,-7) Matrix(1459,260,780,139) -> Matrix(1,-6,0,1) Matrix(6371,1130,2430,431) -> Matrix(1,0,-6,1) Matrix(923,162,678,119) -> Matrix(1,0,6,1) Matrix(47,8,-288,-49) -> Matrix(5,-2,8,-3) Matrix(1237,196,284,45) -> Matrix(3,-2,8,-5) Matrix(1233,194,286,45) -> Matrix(3,-2,-10,7) Matrix(569,88,472,73) -> Matrix(13,-10,4,-3) Matrix(331,50,470,71) -> Matrix(5,-4,-6,5) Matrix(233,32,648,89) -> Matrix(1,0,0,1) Matrix(47,6,274,35) -> Matrix(7,-4,2,-1) Matrix(951,110,2170,251) -> Matrix(17,-14,-6,5) Matrix(313,32,88,9) -> Matrix(1,0,0,1) Matrix(253,-26,146,-15) -> Matrix(1,-2,2,-3) Matrix(1447,-194,634,-85) -> Matrix(7,-4,2,-1) Matrix(173,-28,68,-11) -> Matrix(1,-2,0,1) Matrix(1973,-346,1226,-215) -> Matrix(1,-10,-2,21) Matrix(543,-98,338,-61) -> Matrix(1,2,-2,-3) Matrix(237,-44,404,-75) -> Matrix(1,0,0,1) Matrix(763,-158,198,-41) -> Matrix(3,-2,2,-1) Matrix(1223,-258,858,-181) -> Matrix(15,-14,14,-13) Matrix(1879,-400,1320,-281) -> Matrix(23,-24,24,-25) Matrix(263,-58,458,-101) -> Matrix(3,-4,-2,3) Matrix(883,-198,718,-161) -> Matrix(15,-22,-2,3) Matrix(2317,-524,5284,-1195) -> Matrix(1,-4,0,1) Matrix(2151,-488,3848,-873) -> Matrix(7,-12,-4,7) Matrix(1237,-282,522,-119) -> Matrix(3,-4,-2,3) Matrix(33,-8,128,-31) -> Matrix(1,-2,0,1) Matrix(2089,-552,632,-167) -> Matrix(1,-2,0,1) Matrix(4077,-1082,1202,-319) -> Matrix(1,0,-2,1) Matrix(853,-228,1388,-371) -> Matrix(1,0,0,1) Matrix(5329,-1432,3152,-847) -> Matrix(5,2,12,5) Matrix(693,-188,188,-51) -> Matrix(1,0,-4,1) Matrix(879,-242,1442,-397) -> Matrix(1,0,-2,1) Matrix(471,-130,250,-69) -> Matrix(5,-2,-2,1) Matrix(1439,-402,562,-157) -> Matrix(5,-4,-6,5) Matrix(2187,-614,374,-105) -> Matrix(1,0,-2,1) Matrix(1933,-546,1186,-335) -> Matrix(1,0,-2,1) Matrix(155,-46,246,-73) -> Matrix(1,-2,2,-3) Matrix(24455,-7464,17224,-5257) -> Matrix(25,-42,28,-47) Matrix(5759,-1762,2082,-637) -> Matrix(1,-2,2,-3) Matrix(3521,-1080,1040,-319) -> Matrix(1,-2,0,1) Matrix(1315,-406,366,-113) -> Matrix(5,-8,2,-3) Matrix(1769,-550,550,-171) -> Matrix(1,-2,10,-19) Matrix(791,-248,488,-153) -> Matrix(1,-2,-4,9) Matrix(1423,-496,416,-145) -> Matrix(1,0,-4,1) Matrix(1181,-418,178,-63) -> Matrix(1,0,2,1) Matrix(1829,-650,650,-231) -> Matrix(1,0,10,1) Matrix(2293,-826,3706,-1335) -> Matrix(1,0,2,1) Matrix(4847,-1754,2114,-765) -> Matrix(3,-2,2,-1) Matrix(205,-76,116,-43) -> Matrix(1,0,0,1) Matrix(639,-242,1682,-637) -> Matrix(15,-14,14,-13) Matrix(493,-188,868,-331) -> Matrix(5,-6,-4,5) Matrix(13365,-5114,7754,-2967) -> Matrix(3,-4,10,-13) Matrix(5987,-2292,1852,-709) -> Matrix(3,-4,4,-5) Matrix(433,-166,926,-355) -> Matrix(1,-2,2,-3) Matrix(491,-190,230,-89) -> Matrix(1,-2,2,-3) Matrix(1037,-402,1442,-559) -> Matrix(1,-2,-2,5) Matrix(1439,-562,402,-157) -> Matrix(3,-2,2,-1) Matrix(1493,-586,2586,-1015) -> Matrix(1,0,-2,1) Matrix(1663,-656,976,-385) -> Matrix(3,-4,4,-5) Matrix(3271,-1328,968,-393) -> Matrix(1,-2,-4,9) Matrix(3641,-1480,1080,-439) -> Matrix(3,-8,-4,11) Matrix(1675,-684,1364,-557) -> Matrix(1,-12,0,1) Matrix(1475,-604,2044,-837) -> Matrix(1,-2,0,1) Matrix(4395,-1804,7204,-2957) -> Matrix(1,-2,0,1) Matrix(6917,-2842,2042,-839) -> Matrix(1,-2,-2,5) Matrix(1699,-702,622,-257) -> Matrix(3,-8,2,-5) Matrix(1583,-656,736,-305) -> Matrix(1,-2,0,1) Matrix(507,-212,452,-189) -> Matrix(1,-4,4,-15) Matrix(2087,-874,394,-165) -> Matrix(1,-4,-2,9) Matrix(1237,-522,282,-119) -> Matrix(1,-6,2,-11) Matrix(589,-250,450,-191) -> Matrix(1,-8,-2,17) Matrix(363,-158,278,-121) -> Matrix(1,4,-2,-7) Matrix(7841,-3440,3280,-1439) -> Matrix(15,32,-8,-17) Matrix(1193,-526,2166,-955) -> Matrix(5,8,-2,-3) Matrix(663,-296,56,-25) -> Matrix(1,0,0,1) Matrix(4283,-1918,1878,-841) -> Matrix(5,2,2,1) Matrix(1407,-632,1712,-769) -> Matrix(1,-12,0,1) Matrix(633,-286,166,-75) -> Matrix(1,0,2,1) Matrix(439,-202,602,-277) -> Matrix(1,0,-2,1) Matrix(1583,-736,656,-305) -> Matrix(1,-2,0,1) Matrix(841,-398,598,-283) -> Matrix(1,-2,2,-3) Matrix(1693,-908,468,-251) -> Matrix(1,-18,0,1) Matrix(751,-408,208,-113) -> Matrix(1,8,0,1) Matrix(413,-226,466,-255) -> Matrix(1,4,-2,-7) Matrix(2581,-1418,1498,-823) -> Matrix(1,4,2,9) Matrix(5491,-3028,3868,-2133) -> Matrix(7,20,8,23) Matrix(643,-356,876,-485) -> Matrix(1,2,-4,-7) Matrix(6601,-3678,2518,-1403) -> Matrix(1,2,-6,-11) Matrix(667,-372,52,-29) -> Matrix(1,2,0,1) Matrix(11653,-6506,8266,-4615) -> Matrix(7,16,10,23) Matrix(6365,-3556,4516,-2523) -> Matrix(5,8,8,13) Matrix(18343,-10258,6618,-3701) -> Matrix(1,2,-2,-3) Matrix(1127,-632,872,-489) -> Matrix(3,4,-4,-5) Matrix(485,-274,154,-87) -> Matrix(1,2,-2,-3) Matrix(2529,-1432,1072,-607) -> Matrix(1,-2,0,1) Matrix(2359,-1360,1320,-761) -> Matrix(3,2,4,3) Matrix(5221,-3018,7098,-4103) -> Matrix(3,2,-14,-9) Matrix(557,-324,404,-235) -> Matrix(1,0,4,1) Matrix(2547,-1492,3532,-2069) -> Matrix(1,0,0,1) Matrix(2565,-1514,554,-327) -> Matrix(1,0,-2,1) Matrix(151,-90,250,-149) -> Matrix(1,0,2,1) Matrix(4603,-2796,996,-605) -> Matrix(3,-2,-4,3) Matrix(10001,-6080,5920,-3599) -> Matrix(11,-10,32,-29) Matrix(15397,-9364,10844,-6595) -> Matrix(11,-12,12,-13) Matrix(18509,-11290,11330,-6911) -> Matrix(1,0,-2,1) Matrix(6557,-4002,2882,-1759) -> Matrix(3,-2,2,-1) Matrix(1265,-774,894,-547) -> Matrix(1,-2,2,-3) Matrix(1933,-1186,546,-335) -> Matrix(1,0,2,1) Matrix(8899,-5462,5502,-3377) -> Matrix(1,0,-2,1) Matrix(791,-488,248,-153) -> Matrix(1,0,-4,1) Matrix(11393,-7046,8206,-5075) -> Matrix(1,0,10,1) Matrix(543,-338,98,-61) -> Matrix(3,-2,2,-1) Matrix(539,-342,342,-217) -> Matrix(3,-4,-2,3) Matrix(1879,-1200,440,-281) -> Matrix(1,-2,0,1) Matrix(6321,-4040,4880,-3119) -> Matrix(3,-8,-4,11) Matrix(2733,-1748,1268,-811) -> Matrix(1,0,0,1) Matrix(877,-562,1122,-719) -> Matrix(3,-2,2,-1) Matrix(4791,-3088,2968,-1913) -> Matrix(1,-2,-4,9) Matrix(2383,-1538,1458,-941) -> Matrix(1,-2,-2,5) Matrix(1383,-898,1018,-661) -> Matrix(1,-2,10,-19) Matrix(2229,-1450,970,-631) -> Matrix(3,-8,2,-5) Matrix(1693,-1108,628,-411) -> Matrix(1,-4,4,-15) Matrix(1283,-876,476,-325) -> Matrix(1,2,4,9) Matrix(805,-556,236,-163) -> Matrix(1,2,-4,-7) Matrix(1959,-1360,520,-361) -> Matrix(1,2,0,1) Matrix(2243,-1558,1038,-721) -> Matrix(1,2,-2,-3) Matrix(3115,-2166,2406,-1673) -> Matrix(5,6,-6,-7) Matrix(5517,-3844,2404,-1675) -> Matrix(1,4,0,1) Matrix(1269,-892,892,-627) -> Matrix(11,10,12,11) Matrix(3819,-2702,2342,-1657) -> Matrix(1,2,-2,-3) Matrix(2153,-1526,1686,-1195) -> Matrix(3,2,-2,-1) Matrix(1801,-1280,280,-199) -> Matrix(3,2,4,3) Matrix(3425,-2456,2096,-1503) -> Matrix(1,0,0,1) Matrix(5005,-3596,1396,-1003) -> Matrix(1,2,0,1) Matrix(3999,-2882,2882,-2077) -> Matrix(1,0,-2,1) Matrix(557,-404,324,-235) -> Matrix(1,0,4,1) Matrix(6865,-5014,4254,-3107) -> Matrix(1,0,-2,1) Matrix(669,-490,370,-271) -> Matrix(5,2,2,1) Matrix(18413,-13546,10786,-7935) -> Matrix(1,0,6,1) Matrix(6543,-4816,1936,-1425) -> Matrix(1,0,4,1) Matrix(783,-578,1058,-781) -> Matrix(1,0,22,1) Matrix(113,-86,46,-35) -> Matrix(1,0,-2,1) Matrix(2153,-1686,1526,-1195) -> Matrix(5,-6,6,-7) Matrix(469,-370,90,-71) -> Matrix(1,-2,2,-3) Matrix(557,-442,402,-319) -> Matrix(1,-2,2,-3) Matrix(1351,-1088,488,-393) -> Matrix(1,-4,0,1) Matrix(2765,-2236,1636,-1323) -> Matrix(3,-14,8,-37) Matrix(4441,-3598,1238,-1003) -> Matrix(3,-20,2,-13) Matrix(397,-324,484,-395) -> Matrix(1,-22,0,1) Matrix(4235,-3484,1844,-1517) -> Matrix(1,12,0,1) Matrix(195,-164,44,-37) -> Matrix(1,2,0,1) Matrix(923,-796,516,-445) -> Matrix(7,6,8,7) Matrix(4153,-3608,2568,-2231) -> Matrix(3,2,-8,-5) Matrix(2011,-1750,470,-409) -> Matrix(3,2,-2,-1) Matrix(507,-452,212,-189) -> Matrix(7,2,-4,-1) Matrix(611,-668,268,-293) -> Matrix(9,2,4,1) Matrix(281,-318,38,-43) -> Matrix(1,0,-2,1) Matrix(853,-986,186,-215) -> Matrix(5,-4,-6,5) Matrix(165,-194,74,-87) -> Matrix(1,-2,2,-3) Matrix(2245,-2716,796,-963) -> Matrix(1,-4,4,-15) Matrix(4341,-5260,940,-1139) -> Matrix(1,-6,0,1) Matrix(397,-484,324,-395) -> Matrix(1,-18,0,1) Matrix(1471,-1850,850,-1069) -> Matrix(1,0,2,1) Matrix(1591,-2008,248,-313) -> Matrix(1,2,0,1) Matrix(7351,-9290,2650,-3349) -> Matrix(1,2,-2,-3) Matrix(8231,-10408,2968,-3753) -> Matrix(1,0,0,1) Matrix(2471,-3128,1448,-1833) -> Matrix(1,2,0,1) Matrix(2167,-2752,952,-1209) -> Matrix(7,12,4,7) Matrix(14919,-19042,5482,-6997) -> Matrix(35,36,34,35) Matrix(877,-1122,562,-719) -> Matrix(1,2,-2,-3) Matrix(2213,-2868,348,-451) -> Matrix(3,2,4,3) Matrix(811,-1070,310,-409) -> Matrix(1,0,-2,1) Matrix(631,-850,170,-229) -> Matrix(1,0,10,1) Matrix(1511,-2048,408,-553) -> Matrix(1,0,-24,1) Matrix(5221,-7098,3018,-4103) -> Matrix(17,-2,26,-3) Matrix(439,-602,202,-277) -> Matrix(1,0,-2,1) Matrix(285,-394,34,-47) -> Matrix(1,0,-2,1) Matrix(12463,-17298,8978,-12461) -> Matrix(1,0,26,1) Matrix(1037,-1442,402,-559) -> Matrix(1,0,-6,1) Matrix(5903,-8298,3458,-4861) -> Matrix(3,-2,2,-1) Matrix(3189,-4490,1130,-1591) -> Matrix(3,-2,14,-9) Matrix(14589,-20570,8930,-12591) -> Matrix(3,-2,-10,7) Matrix(2023,-2858,298,-421) -> Matrix(1,0,-2,1) Matrix(1373,-1948,628,-891) -> Matrix(5,-4,4,-3) Matrix(2115,-3004,364,-517) -> Matrix(3,-2,-4,3) Matrix(49,-72,32,-47) -> Matrix(1,-2,0,1) Matrix(2715,-4244,1124,-1757) -> Matrix(5,4,-4,-3) Matrix(4039,-6320,1560,-2441) -> Matrix(1,0,0,1) Matrix(6997,-10964,2524,-3955) -> Matrix(1,0,0,1) Matrix(3039,-4802,1922,-3037) -> Matrix(25,26,-26,-27) Matrix(773,-1226,186,-295) -> Matrix(3,2,-2,-1) Matrix(1083,-1718,278,-441) -> Matrix(1,0,2,1) Matrix(4159,-6602,1762,-2797) -> Matrix(19,16,-6,-5) Matrix(355,-564,124,-197) -> Matrix(3,2,4,3) Matrix(1547,-2494,214,-345) -> Matrix(5,2,2,1) Matrix(1883,-3036,276,-445) -> Matrix(5,2,-8,-3) Matrix(7439,-12002,3122,-5037) -> Matrix(13,4,-10,-3) Matrix(2293,-3706,826,-1335) -> Matrix(1,0,2,1) Matrix(3359,-5442,1282,-2077) -> Matrix(1,0,-2,1) Matrix(3089,-5030,670,-1091) -> Matrix(1,0,-2,1) Matrix(3879,-6320,1400,-2281) -> Matrix(1,0,0,1) Matrix(879,-1442,242,-397) -> Matrix(3,2,-2,-1) Matrix(151,-250,90,-149) -> Matrix(1,0,6,1) Matrix(3437,-5802,1042,-1759) -> Matrix(27,-8,-10,3) Matrix(47319,-79922,14042,-23717) -> Matrix(115,-38,-118,39) Matrix(48119,-81280,14280,-24121) -> Matrix(107,-36,-104,35) Matrix(1127,-1914,474,-805) -> Matrix(5,-2,-2,1) Matrix(1021,-1738,178,-303) -> Matrix(5,-2,-2,1) Matrix(1715,-2924,444,-757) -> Matrix(1,0,0,1) Matrix(5629,-9612,2452,-4187) -> Matrix(1,2,0,1) Matrix(263,-458,58,-101) -> Matrix(1,0,-2,1) Matrix(905,-1614,374,-667) -> Matrix(1,0,-2,1) Matrix(701,-1258,258,-463) -> Matrix(5,-6,6,-7) Matrix(1691,-3070,710,-1289) -> Matrix(3,-4,-2,3) Matrix(213,-388,28,-51) -> Matrix(1,-2,0,1) Matrix(365,-676,196,-363) -> Matrix(1,-14,0,1) Matrix(597,-1324,124,-275) -> Matrix(1,0,0,1) Matrix(3843,-8756,1196,-2725) -> Matrix(1,-2,20,-39) Matrix(791,-1810,170,-389) -> Matrix(1,-2,-2,5) Matrix(8917,-20442,3402,-7799) -> Matrix(1,-2,-6,13) Matrix(169,-392,72,-167) -> Matrix(1,-6,0,1) Matrix(4009,-9470,1190,-2811) -> Matrix(3,8,-2,-5) Matrix(1521,-3598,238,-563) -> Matrix(1,2,2,5) Matrix(5769,-13750,1750,-4171) -> Matrix(7,4,-2,-1) Matrix(3717,-8882,1322,-3159) -> Matrix(1,2,18,37) Matrix(7229,-17452,2132,-5147) -> Matrix(1,2,-4,-7) Matrix(887,-2274,314,-805) -> Matrix(3,2,10,7) Matrix(1171,-3028,268,-693) -> Matrix(1,0,4,1) Matrix(5437,-14084,1604,-4155) -> Matrix(1,0,0,1) Matrix(1447,-3752,312,-809) -> Matrix(1,0,0,1) Matrix(277,-724,44,-115) -> Matrix(1,0,4,1) Matrix(5429,-14212,2012,-5267) -> Matrix(19,4,52,11) Matrix(4179,-10942,862,-2257) -> Matrix(21,4,26,5) Matrix(639,-1682,242,-637) -> Matrix(1,0,22,1) Matrix(12031,-32450,3570,-9629) -> Matrix(31,-10,-34,11) Matrix(1253,-3386,346,-935) -> Matrix(13,-6,-2,1) Matrix(10063,-27378,3698,-10061) -> Matrix(63,-62,62,-61) Matrix(1181,-3218,258,-703) -> Matrix(3,-4,-2,3) Matrix(353,-968,128,-351) -> Matrix(1,-2,0,1) Matrix(613,-1706,106,-295) -> Matrix(3,2,-2,-1) Matrix(2479,-6962,882,-2477) -> Matrix(1,0,34,1) Matrix(2319,-7442,722,-2317) -> Matrix(1,0,38,1) Matrix(2189,-7492,452,-1547) -> Matrix(11,2,16,3) Matrix(559,-1922,162,-557) -> Matrix(1,0,18,1) Matrix(987,-4174,214,-905) -> Matrix(1,0,-2,1) Matrix(463,-2178,98,-461) -> Matrix(1,0,14,1) Matrix(145,-694,14,-67) -> Matrix(1,0,-2,1) Matrix(205,-1156,36,-203) -> Matrix(1,-6,0,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 128 Degree of the the map X: 128 Degree of the the map Y: 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.