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): 3072 Minimal number of generators: 513 Number of equivalence classes of cusps: 128 Genus: 193 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -8/1 -22/3 -20/3 -6/1 -28/5 -16/3 -24/5 -14/3 -4/1 -18/5 -24/7 -16/5 -20/7 -48/17 -8/3 -12/5 -16/7 -96/43 -2/1 -24/13 -16/9 -12/7 -8/5 -48/31 -16/11 -96/67 -24/17 -4/3 -160/127 -16/13 -8/7 0/1 1/1 8/7 32/27 16/13 32/25 4/3 32/23 24/17 16/11 3/2 48/31 8/5 28/17 32/19 12/7 16/9 96/53 24/13 28/15 32/17 2/1 32/15 15/7 256/115 16/7 64/27 12/5 32/13 5/2 64/25 448/171 192/73 8/3 256/95 192/71 64/23 48/17 20/7 3/1 16/5 96/29 64/19 24/7 7/2 32/9 25/7 18/5 256/69 64/17 256/67 31/8 4/1 21/5 64/15 30/7 13/3 128/29 9/2 32/7 14/3 24/5 29/6 160/33 34/7 5/1 26/5 21/4 16/3 27/5 11/2 28/5 17/3 23/4 29/5 64/11 6/1 31/5 25/4 19/3 32/5 13/2 20/3 27/4 7/1 22/3 15/2 23/3 8/1 17/2 26/3 9/1 19/2 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -11/1 1/0 -10/1 0/1 -19/2 1/1 -9/1 1/2 -17/2 5/7 -8/1 1/1 -15/2 7/5 -22/3 2/1 -7/1 1/0 -20/3 1/0 -13/2 3/1 -32/5 1/0 -19/3 1/0 -44/7 -1/1 -25/4 1/1 -31/5 1/0 -6/1 0/1 -23/4 1/3 -17/3 1/2 -45/8 1/1 -73/13 1/0 -28/5 1/2 -11/2 1/1 -27/5 5/6 -16/3 1/1 -37/7 9/8 -58/11 8/7 -21/4 1/1 -26/5 4/3 -5/1 3/2 -24/5 2/1 -43/9 1/0 -62/13 2/1 -19/4 3/1 -14/3 2/1 -65/14 3/1 -51/11 1/0 -37/8 5/1 -23/5 1/0 -32/7 1/0 -9/2 -1/1 -31/7 1/0 -22/5 0/1 -57/13 -1/2 -92/21 1/0 -35/8 1/1 -13/3 1/0 -17/4 1/5 -38/9 0/1 -21/5 1/2 -4/1 1/1 -23/6 1/1 -42/11 2/1 -19/5 3/2 -15/4 7/3 -56/15 3/1 -41/11 1/0 -67/18 3/1 -26/7 4/1 -115/31 9/2 -89/24 5/1 -63/17 1/0 -163/44 5/1 -100/27 1/0 -37/10 5/1 -11/3 1/0 -40/11 2/1 -69/19 3/2 -29/8 1/1 -18/5 4/1 -61/17 1/0 -43/12 5/1 -25/7 1/0 -32/9 1/0 -7/2 -1/1 -31/9 1/0 -55/16 1/1 -134/39 2/1 -79/23 1/0 -24/7 1/0 -113/33 1/0 -89/26 -5/1 -65/19 1/0 -171/50 -5/1 -106/31 -4/1 -41/12 -3/1 -17/5 1/0 -44/13 -1/2 -71/21 -1/2 -27/8 -1/3 -10/3 0/1 -33/10 1/1 -56/17 1/1 -23/7 1/0 -36/11 1/0 -13/4 1/1 -29/9 1/2 -16/5 1/1 -35/11 1/0 -54/17 2/1 -19/6 1/1 -22/7 2/1 -3/1 1/0 -23/8 -3/1 -43/15 1/0 -20/7 -1/1 -17/6 1/1 -48/17 1/0 -31/11 1/0 -14/5 -2/1 -25/9 1/0 -61/22 -1/1 -36/13 1/0 -11/4 -1/1 -41/15 -1/2 -30/11 0/1 -49/18 1/5 -19/7 1/0 -84/31 -1/1 -149/55 1/0 -65/24 -1/1 -46/17 0/1 -73/27 1/2 -100/37 1/0 -27/10 -1/1 -8/3 0/1 -37/14 1/1 -66/25 0/1 -95/36 1/1 -29/11 1/2 -79/30 3/1 -129/49 1/0 -50/19 0/1 -71/27 1/4 -92/35 1/2 -21/8 1/1 -55/21 -1/2 -34/13 0/1 -47/18 1/7 -13/5 1/2 -44/17 1/1 -31/12 1/1 -80/31 1/1 -129/50 1/1 -49/19 5/4 -116/45 3/2 -67/26 1/1 -18/7 2/1 -23/9 1/0 -28/11 1/0 -61/24 1/1 -33/13 1/0 -5/2 1/1 -32/13 1/0 -27/11 1/0 -76/31 -3/1 -49/20 -5/1 -22/9 -2/1 -61/25 1/0 -39/16 -1/1 -56/23 1/0 -17/7 -3/2 -63/26 -1/1 -46/19 -2/3 -29/12 -1/3 -41/17 1/0 -53/22 1/1 -65/27 1/0 -12/5 1/0 -67/28 -1/1 -122/51 0/1 -55/23 -1/2 -43/18 1/1 -31/13 1/0 -50/21 -2/1 -19/8 -1/1 -26/11 -2/1 -59/25 1/0 -33/14 -1/1 -7/3 -1/2 -37/16 -1/1 -67/29 -1/2 -30/13 0/1 -23/10 -1/3 -16/7 0/1 -41/18 1/7 -107/47 1/6 -66/29 0/1 -91/40 1/5 -25/11 1/4 -84/37 1/2 -59/26 1/5 -34/15 0/1 -9/4 1/1 -38/17 2/3 -67/30 1/1 -96/43 1/1 -29/13 3/2 -49/22 -1/1 -118/53 0/1 -69/31 1/4 -20/9 1/1 -31/14 1/1 -11/5 1/0 -24/11 0/1 -61/28 1/1 -37/17 1/2 -13/6 1/1 -28/13 1/0 -43/20 1/1 -58/27 2/1 -15/7 1/0 -32/15 1/0 -17/8 -1/1 -2/1 0/1 -19/10 1/1 -17/9 1/2 -32/17 1/1 -15/8 1/1 -13/7 1/0 -37/20 -1/1 -61/33 1/0 -24/13 0/1 -11/6 1/1 -42/23 2/1 -31/17 1/0 -20/11 1/0 -69/38 -1/3 -256/141 0/1 -187/103 1/10 -118/65 0/1 -49/27 1/2 -29/16 3/1 -38/21 -2/1 -47/26 -5/3 -9/5 1/0 -34/19 0/1 -127/71 -1/2 -93/52 -1/3 -59/33 -1/4 -84/47 -1/1 -25/14 -1/3 -16/9 0/1 -39/22 1/7 -62/35 0/1 -85/48 1/5 -23/13 1/4 -30/17 0/1 -97/55 1/4 -67/38 1/3 -37/21 1/2 -7/4 1/3 -33/19 1/2 -59/34 1/1 -26/15 2/3 -45/26 1/1 -64/37 0/1 2/3 -19/11 1/2 -31/18 1/1 -74/43 0/1 -117/68 1/1 -160/93 1/1 -43/25 1/0 -12/7 1/1 -41/24 1/1 -70/41 0/1 -29/17 1/4 -17/10 3/5 -56/33 1/1 -95/56 1/1 -39/23 1/2 -61/36 1/1 -22/13 2/3 -49/29 5/6 -76/45 3/4 -103/61 3/4 -27/16 1/1 -32/19 1/1 -5/3 1/0 -33/20 1/1 -28/17 1/1 -23/14 1/1 -64/39 0/1 2/1 -41/25 1/0 -18/11 2/1 -67/41 1/0 -116/71 3/1 -49/30 5/1 -129/79 1/0 -80/49 1/0 -31/19 1/0 -44/27 1/0 -13/8 -1/1 -34/21 0/1 -55/34 1/3 -186/115 0/1 -317/196 1/1 -448/277 0/1 -131/81 1/2 -76/47 1/1 -21/13 1/0 -92/57 -1/1 -71/44 -1/3 -192/119 0/1 -121/75 1/6 -50/31 0/1 -129/80 1/1 -79/49 3/2 -29/18 -1/1 -8/5 0/1 -35/22 1/1 -97/61 1/2 -256/161 0/1 2/3 -159/100 1/1 -62/39 0/1 -89/56 1/3 -116/73 1/3 -27/17 1/2 -100/63 1/1 -73/46 -1/1 -192/121 0/1 -119/75 1/6 -46/29 0/1 -65/41 1/2 -84/53 1/2 -19/12 1/1 -30/19 0/1 -41/26 1/3 -52/33 1/3 -167/106 1/3 -115/73 1/4 -63/40 1/3 -11/7 1/2 -36/23 1/1 -97/62 1/1 -352/225 1/1 -255/163 1/0 -158/101 0/1 -61/39 1/2 -25/16 1/1 -64/41 0/1 2/3 -39/25 1/2 -14/9 2/3 -31/20 1/1 -48/31 1/1 -65/42 1/1 -17/11 1/0 -20/13 1/2 -63/41 1/2 -43/28 1/1 -23/15 3/4 -3/2 1/1 -22/15 2/1 -19/13 1/0 -16/11 1/0 -45/31 1/0 -74/51 0/1 -29/20 -1/1 -13/9 1/0 -49/34 1/1 -85/59 1/0 -36/25 1/1 -23/16 1/1 -56/39 1/0 -89/62 -1/1 -33/23 1/0 -43/30 1/1 -96/67 1/0 -53/37 1/0 -10/7 0/1 -37/26 -1/3 -64/45 0/1 -27/19 1/4 -44/31 1/3 -17/12 1/1 -41/29 3/4 -65/46 1/1 -89/63 5/6 -24/17 1/1 -31/22 1/1 -7/5 1/2 -32/23 1/1 -25/18 1/1 -143/103 7/6 -118/85 6/5 -93/67 5/4 -68/49 1/1 -43/31 5/4 -104/75 4/3 -61/44 1/1 -18/13 4/3 -65/47 3/2 -112/81 3/2 -47/34 11/7 -29/21 1/0 -40/29 2/1 -11/8 1/1 -37/27 5/4 -100/73 1/1 -63/46 1/1 -89/65 5/4 -115/84 9/7 -256/187 4/3 -141/103 11/8 -26/19 4/3 -93/68 19/13 -160/117 3/2 -67/49 3/2 -41/30 1/1 -15/11 7/4 -64/47 2/1 -49/36 19/9 -34/25 2/1 -19/14 3/1 -42/31 2/1 -149/110 1/1 -256/189 2/1 -107/79 5/2 -65/48 3/1 -23/17 1/0 -27/20 3/1 -31/23 1/0 -4/3 1/0 -33/25 1/0 -29/22 -1/1 -54/41 0/1 -25/19 1/0 -21/16 -1/1 -38/29 0/1 -17/13 -1/4 -64/49 0/1 -47/36 1/11 -30/23 0/1 -13/10 1/1 -35/27 1/0 -127/98 1/1 -92/71 1/1 -57/44 1/3 -22/17 0/1 -75/58 1/1 -128/99 0/1 2/3 -53/41 1/2 -31/24 1/1 -40/31 1/1 -89/69 3/2 -138/107 2/1 -49/38 1/1 -58/45 0/1 -9/7 1/2 -32/25 1/1 -23/18 1/1 -60/47 1/1 -157/123 3/2 -97/76 1/1 -37/29 5/4 -51/40 1/1 -167/131 3/2 -116/91 3/2 -65/51 3/2 -14/11 2/1 -33/26 1/1 -19/15 3/2 -62/49 2/1 -43/34 1/1 -67/53 3/2 -24/19 2/1 -29/23 1/0 -63/50 1/1 -160/127 3/2 -97/77 3/2 -34/27 2/1 -5/4 3/1 -26/21 4/1 -21/17 1/0 -16/13 1/0 -43/35 1/0 -113/92 -7/1 -70/57 -6/1 -97/79 1/0 -27/22 -5/1 -11/9 1/0 -28/23 -1/1 -73/60 1/1 -45/37 1/0 -62/51 0/1 -17/14 -1/1 -23/19 -1/2 -29/24 -1/5 -64/53 0/1 -35/29 1/6 -6/5 0/1 -37/31 1/0 -31/26 1/1 -25/21 1/0 -44/37 1/2 -19/16 1/1 -32/27 1/1 -13/11 3/2 -20/17 1/1 -27/23 1/0 -7/6 1/1 -22/19 2/1 -15/13 7/2 -23/20 5/1 -8/7 1/0 -17/15 -5/2 -26/23 -2/1 -9/8 -1/1 -19/17 1/0 -10/9 0/1 -11/10 1/1 -1/1 1/0 0/1 0/1 1/1 1/2 11/10 1/1 10/9 0/1 19/17 1/2 9/8 1/3 17/15 5/12 8/7 1/2 15/13 7/12 22/19 2/3 7/6 1/1 20/17 1/1 13/11 3/4 32/27 1/1 19/16 1/1 44/37 1/0 25/21 1/2 31/26 1/1 6/5 0/1 23/19 1/4 17/14 1/3 45/37 1/2 73/60 1/1 28/23 1/3 11/9 1/2 27/22 5/11 16/13 1/2 37/30 9/17 58/47 8/15 21/17 1/2 26/21 4/7 5/4 3/5 24/19 2/3 43/34 1/1 62/49 2/3 19/15 3/4 14/11 2/3 65/51 3/4 51/40 1/1 37/29 5/6 23/18 1/1 32/25 1/1 9/7 1/0 31/24 1/1 22/17 0/1 57/44 -1/1 92/71 1/1 35/27 1/2 13/10 1/1 17/13 1/6 38/29 0/1 21/16 1/3 4/3 1/2 23/17 1/2 42/31 2/3 19/14 3/5 15/11 7/10 56/41 3/4 41/30 1/1 67/49 3/4 26/19 4/5 115/84 9/11 89/65 5/6 63/46 1/1 163/119 5/6 100/73 1/1 37/27 5/6 11/8 1/1 40/29 2/3 69/50 3/5 29/21 1/2 18/13 4/5 61/44 1/1 43/31 5/6 25/18 1/1 32/23 1/1 7/5 1/0 31/22 1/1 55/39 1/2 134/95 2/3 79/56 1/1 24/17 1/1 113/80 1/1 89/63 5/4 65/46 1/1 171/121 5/4 106/75 4/3 41/29 3/2 17/12 1/1 44/31 -1/1 71/50 -1/1 27/19 -1/2 10/7 0/1 33/23 1/2 56/39 1/2 23/16 1/1 36/25 1/1 13/9 1/2 29/20 1/3 16/11 1/2 35/24 1/1 54/37 2/3 19/13 1/2 22/15 2/3 3/2 1/1 23/15 3/2 43/28 1/1 20/13 1/0 17/11 1/2 48/31 1/1 31/20 1/1 14/9 2/1 25/16 1/1 61/39 1/0 36/23 1/1 11/7 1/0 41/26 -1/1 30/19 0/1 49/31 1/6 19/12 1/1 84/53 1/0 149/94 1/1 65/41 1/0 46/29 0/1 73/46 1/3 100/63 1/1 27/17 1/0 8/5 0/1 37/23 1/2 66/41 0/1 95/59 1/2 29/18 1/3 79/49 3/4 129/80 1/1 50/31 0/1 71/44 1/5 92/57 1/3 21/13 1/2 55/34 -1/1 34/21 0/1 47/29 1/8 13/8 1/3 44/27 1/2 31/19 1/2 80/49 1/2 129/79 1/2 49/30 5/9 116/71 3/5 67/41 1/2 18/11 2/3 23/14 1/1 28/17 1/1 61/37 1/2 33/20 1/1 5/3 1/2 32/19 1/1 27/16 1/1 76/45 3/2 49/29 5/4 22/13 2/1 61/36 1/1 39/23 1/0 56/33 1/1 17/10 3/1 63/37 1/0 46/27 -2/1 29/17 -1/2 41/24 1/1 53/31 1/2 65/38 1/1 12/7 1/1 67/39 1/0 122/71 0/1 55/32 -1/1 43/25 1/2 31/18 1/1 50/29 2/1 19/11 1/0 26/15 2/1 59/34 1/1 33/19 1/0 7/4 -1/1 37/21 1/0 67/38 -1/1 30/17 0/1 23/13 -1/2 16/9 0/1 41/23 1/8 107/60 1/7 66/37 0/1 91/51 1/6 25/14 1/5 84/47 1/3 59/33 1/6 34/19 0/1 9/5 1/2 38/21 2/5 67/37 1/2 96/53 1/2 29/16 3/5 49/27 1/0 118/65 0/1 69/38 1/5 20/11 1/2 31/17 1/2 11/6 1/1 24/13 0/1 61/33 1/2 37/20 1/3 13/7 1/2 28/15 1/1 43/23 1/2 58/31 2/3 15/8 1/1 32/17 1/1 17/9 1/0 2/1 0/1 19/9 1/2 17/8 1/3 32/15 1/2 15/7 1/2 13/6 1/1 37/17 1/0 61/28 1/1 24/11 0/1 11/5 1/2 42/19 2/3 31/14 1/1 20/9 1/1 69/31 -1/2 256/115 0/1 187/84 1/11 118/53 0/1 49/22 1/3 29/13 3/4 38/17 2/1 47/21 5/2 9/4 1/1 34/15 0/1 127/56 -1/1 93/41 -1/2 59/26 -1/3 84/37 1/0 25/11 -1/2 16/7 0/1 39/17 1/8 62/27 0/1 85/37 1/6 23/10 1/5 30/13 0/1 97/42 1/5 67/29 1/4 37/16 1/3 7/3 1/4 33/14 1/3 59/25 1/2 26/11 2/5 45/19 1/2 64/27 0/1 2/5 19/8 1/3 31/13 1/2 74/31 0/1 117/49 1/2 160/67 1/2 43/18 1/1 12/5 1/2 41/17 1/2 70/29 0/1 29/12 1/5 17/7 3/8 56/23 1/2 95/39 1/2 39/16 1/3 61/25 1/2 22/9 2/5 49/20 5/11 76/31 3/7 103/42 3/7 27/11 1/2 32/13 1/2 5/2 1/1 33/13 1/2 28/11 1/2 23/9 1/2 64/25 0/1 2/3 41/16 1/1 18/7 2/3 67/26 1/1 116/45 3/4 49/19 5/6 129/50 1/1 80/31 1/1 31/12 1/1 44/17 1/1 13/5 1/0 34/13 0/1 55/21 1/4 186/71 0/1 317/121 1/2 448/171 0/1 131/50 1/3 76/29 1/2 21/8 1/1 92/35 1/0 71/27 -1/2 192/73 0/1 121/46 1/7 50/19 0/1 129/49 1/2 79/30 3/5 29/11 1/0 8/3 0/1 35/13 1/2 97/36 1/3 256/95 0/1 2/5 159/59 1/2 62/23 0/1 89/33 1/4 116/43 1/4 27/10 1/3 100/37 1/2 73/27 1/0 192/71 0/1 119/44 1/7 46/17 0/1 65/24 1/3 84/31 1/3 19/7 1/2 30/11 0/1 41/15 1/4 52/19 1/4 167/61 1/4 115/42 1/5 63/23 1/4 11/4 1/3 36/13 1/2 97/35 1/2 352/127 1/2 255/92 1/1 158/57 0/1 61/22 1/3 25/9 1/2 64/23 0/1 2/5 39/14 1/3 14/5 2/5 31/11 1/2 48/17 1/2 65/23 1/2 17/6 1/1 20/7 1/3 63/22 1/3 43/15 1/2 23/8 3/7 3/1 1/2 22/7 2/3 19/6 1/1 16/5 1/1 45/14 1/1 74/23 0/1 29/9 1/0 13/4 1/1 49/15 1/2 85/26 1/1 36/11 1/2 23/7 1/2 56/17 1/1 89/27 1/0 33/10 1/1 43/13 1/2 96/29 1/1 53/16 1/1 10/3 0/1 37/11 -1/2 64/19 0/1 27/8 1/5 44/13 1/4 17/5 1/2 41/12 3/7 65/19 1/2 89/26 5/11 24/7 1/2 31/9 1/2 7/2 1/3 32/9 1/2 25/7 1/2 143/40 7/13 118/33 6/11 93/26 5/9 68/19 1/2 43/12 5/9 104/29 4/7 61/17 1/2 18/5 4/7 65/18 3/5 112/31 3/5 47/13 11/18 29/8 1/1 40/11 2/3 11/3 1/2 37/10 5/9 100/27 1/2 63/17 1/2 89/24 5/9 115/31 9/16 256/69 4/7 141/38 11/19 26/7 4/7 93/25 19/32 160/43 3/5 67/18 3/5 41/11 1/2 15/4 7/11 64/17 2/3 49/13 19/28 34/9 2/3 19/5 3/4 42/11 2/3 149/39 1/2 256/67 2/3 107/28 5/7 65/17 3/4 23/6 1/1 27/7 3/4 31/8 1/1 4/1 1/1 33/8 1/1 29/7 1/0 54/13 0/1 25/6 1/1 21/5 1/0 38/9 0/1 17/4 -1/3 64/15 0/1 47/11 1/12 30/7 0/1 13/3 1/2 35/8 1/1 127/29 1/2 92/21 1/2 57/13 1/4 22/5 0/1 75/17 1/2 128/29 0/1 2/5 53/12 1/3 31/7 1/2 40/9 1/2 89/20 3/5 138/31 2/3 49/11 1/2 58/13 0/1 9/2 1/3 32/7 1/2 23/5 1/2 60/13 1/2 157/34 3/5 97/21 1/2 37/8 5/9 51/11 1/2 167/36 3/5 116/25 3/5 65/14 3/5 14/3 2/3 33/7 1/2 19/4 3/5 62/13 2/3 43/9 1/2 67/14 3/5 24/5 2/3 29/6 1/1 63/13 1/2 160/33 3/5 97/20 3/5 34/7 2/3 5/1 3/4 26/5 4/5 21/4 1/1 16/3 1/1 43/8 1/1 113/21 7/6 70/13 6/5 97/18 1/1 27/5 5/4 11/2 1/1 28/5 1/0 73/13 1/2 45/8 1/1 62/11 0/1 17/3 1/0 23/4 -1/1 29/5 -1/4 64/11 0/1 35/6 1/7 6/1 0/1 37/6 1/1 31/5 1/2 25/4 1/1 44/7 1/3 19/3 1/2 32/5 1/2 13/2 3/5 20/3 1/2 27/4 1/1 7/1 1/2 22/3 2/3 15/2 7/9 23/3 5/6 8/1 1/1 17/2 5/3 26/3 2/1 9/1 1/0 19/2 1/1 10/1 0/1 11/1 1/2 1/0 1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(65,768,38,449) (-11/1,1/0) -> (53/31,65/38) Hyperbolic Matrix(191,1984,80,831) (-11/1,-10/1) -> (74/31,117/49) Hyperbolic Matrix(193,1856,60,577) (-10/1,-19/2) -> (45/14,74/23) Hyperbolic Matrix(191,1792,34,319) (-19/2,-9/1) -> (73/13,45/8) Hyperbolic Matrix(65,576,-36,-319) (-9/1,-17/2) -> (-47/26,-9/5) Hyperbolic Matrix(129,1088,76,641) (-17/2,-8/1) -> (56/33,17/10) Hyperbolic Matrix(127,960,-34,-257) (-8/1,-15/2) -> (-15/4,-56/15) Hyperbolic Matrix(191,1408,78,575) (-15/2,-22/3) -> (22/9,49/20) Hyperbolic Matrix(193,1408,44,321) (-22/3,-7/1) -> (57/13,22/5) Hyperbolic Matrix(257,1728,-76,-511) (-7/1,-20/3) -> (-44/13,-71/21) Hyperbolic Matrix(127,832,78,511) (-20/3,-13/2) -> (13/8,44/27) Hyperbolic Matrix(129,832,20,129) (-13/2,-32/5) -> (32/5,13/2) Hyperbolic Matrix(191,1216,30,191) (-32/5,-19/3) -> (19/3,32/5) Hyperbolic Matrix(385,2432,142,897) (-19/3,-44/7) -> (84/31,19/7) Hyperbolic Matrix(511,3200,286,1791) (-44/7,-25/4) -> (25/14,84/47) Hyperbolic Matrix(575,3584,236,1471) (-25/4,-31/5) -> (95/39,39/16) Hyperbolic Matrix(447,2752,-364,-2241) (-31/5,-6/1) -> (-70/57,-97/79) Hyperbolic Matrix(321,1856,-188,-1087) (-6/1,-23/4) -> (-41/24,-70/41) Hyperbolic Matrix(191,1088,56,319) (-23/4,-17/3) -> (17/5,41/12) Hyperbolic Matrix(193,1088,-102,-575) (-17/3,-45/8) -> (-19/10,-17/9) Hyperbolic Matrix(319,1792,34,191) (-45/8,-73/13) -> (9/1,19/2) Hyperbolic Matrix(1665,9344,616,3457) (-73/13,-28/5) -> (100/37,73/27) Hyperbolic Matrix(127,704,46,255) (-28/5,-11/2) -> (11/4,36/13) Hyperbolic Matrix(129,704,94,513) (-11/2,-27/5) -> (37/27,11/8) Hyperbolic Matrix(191,1024,-36,-193) (-27/5,-16/3) -> (-16/3,-37/7) Parabolic Matrix(449,2368,-376,-1983) (-37/7,-58/11) -> (-6/5,-37/31) Hyperbolic Matrix(705,3712,-328,-1727) (-58/11,-21/4) -> (-43/20,-58/27) Hyperbolic Matrix(257,1344,196,1025) (-21/4,-26/5) -> (38/29,21/16) Hyperbolic Matrix(321,1664,136,705) (-26/5,-5/1) -> (59/25,26/11) Hyperbolic Matrix(385,1856,-106,-511) (-5/1,-24/5) -> (-40/11,-69/19) Hyperbolic Matrix(1151,5504,-830,-3969) (-24/5,-43/9) -> (-43/31,-104/75) Hyperbolic Matrix(1663,7936,724,3455) (-43/9,-62/13) -> (62/27,85/37) Hyperbolic Matrix(833,3968,148,705) (-62/13,-19/4) -> (45/8,62/11) Hyperbolic Matrix(257,1216,-108,-511) (-19/4,-14/3) -> (-50/21,-19/8) Hyperbolic Matrix(1087,5056,674,3135) (-14/3,-65/14) -> (129/80,50/31) Hyperbolic Matrix(2303,10688,-1462,-6785) (-65/14,-51/11) -> (-115/73,-63/40) Hyperbolic Matrix(511,2368,276,1279) (-51/11,-37/8) -> (37/20,13/7) Hyperbolic Matrix(319,1472,-236,-1089) (-37/8,-23/5) -> (-23/17,-27/20) Hyperbolic Matrix(321,1472,70,321) (-23/5,-32/7) -> (32/7,23/5) Hyperbolic Matrix(127,576,28,127) (-32/7,-9/2) -> (9/2,32/7) Hyperbolic Matrix(447,1984,-130,-577) (-9/2,-31/7) -> (-31/9,-55/16) Hyperbolic Matrix(449,1984,-246,-1087) (-31/7,-22/5) -> (-42/23,-31/17) Hyperbolic Matrix(321,1408,44,193) (-22/5,-57/13) -> (7/1,22/3) Hyperbolic Matrix(2687,11776,1022,4479) (-57/13,-92/21) -> (92/35,71/27) Hyperbolic Matrix(4223,18496,-1140,-4993) (-92/21,-35/8) -> (-163/44,-100/27) Hyperbolic Matrix(191,832,132,575) (-35/8,-13/3) -> (13/9,29/20) Hyperbolic Matrix(193,832,-74,-319) (-13/3,-17/4) -> (-47/18,-13/5) Hyperbolic Matrix(575,2432,-318,-1345) (-17/4,-38/9) -> (-38/21,-47/26) Hyperbolic Matrix(319,1344,258,1087) (-38/9,-21/5) -> (21/17,26/21) Hyperbolic Matrix(383,1600,-276,-1153) (-21/5,-4/1) -> (-68/49,-43/31) Hyperbolic Matrix(383,1472,-300,-1153) (-4/1,-23/6) -> (-23/18,-60/47) Hyperbolic Matrix(1087,4160,-318,-1217) (-23/6,-42/11) -> (-106/31,-41/12) Hyperbolic Matrix(319,1216,218,831) (-42/11,-19/5) -> (19/13,22/15) Hyperbolic Matrix(321,1216,-118,-447) (-19/5,-15/4) -> (-49/18,-19/7) Hyperbolic Matrix(961,3584,292,1089) (-56/15,-41/11) -> (23/7,56/17) Hyperbolic Matrix(447,1664,292,1087) (-41/11,-67/18) -> (3/2,23/15) Hyperbolic Matrix(1153,4288,-516,-1919) (-67/18,-26/7) -> (-38/17,-67/30) Hyperbolic Matrix(1793,6656,-1310,-4863) (-26/7,-115/31) -> (-141/103,-26/19) Hyperbolic Matrix(7937,29440,-5038,-18687) (-115/31,-89/24) -> (-167/106,-115/73) Hyperbolic Matrix(3073,11392,898,3329) (-89/24,-63/17) -> (65/19,89/26) Hyperbolic Matrix(3265,12096,674,2497) (-63/17,-163/44) -> (29/6,63/13) Hyperbolic Matrix(1729,6400,640,2369) (-100/27,-37/10) -> (27/10,100/37) Hyperbolic Matrix(191,704,156,575) (-37/10,-11/3) -> (11/9,27/22) Hyperbolic Matrix(193,704,88,321) (-11/3,-40/11) -> (24/11,11/5) Hyperbolic Matrix(2239,8128,-1252,-4545) (-69/19,-29/8) -> (-93/52,-59/33) Hyperbolic Matrix(513,1856,-212,-767) (-29/8,-18/5) -> (-46/19,-29/12) Hyperbolic Matrix(641,2304,392,1409) (-18/5,-61/17) -> (67/41,18/11) Hyperbolic Matrix(1535,5504,-1214,-4353) (-61/17,-43/12) -> (-43/34,-67/53) Hyperbolic Matrix(447,1600,-340,-1217) (-43/12,-25/7) -> (-25/19,-21/16) Hyperbolic Matrix(449,1600,126,449) (-25/7,-32/9) -> (32/9,25/7) Hyperbolic Matrix(127,448,36,127) (-32/9,-7/2) -> (7/2,32/9) Hyperbolic Matrix(129,448,74,257) (-7/2,-31/9) -> (33/19,7/4) Hyperbolic Matrix(4097,14080,2384,8193) (-55/16,-134/39) -> (122/71,55/32) Hyperbolic Matrix(6017,20672,1118,3841) (-134/39,-79/23) -> (113/21,70/13) Hyperbolic Matrix(1343,4608,-392,-1345) (-79/23,-24/7) -> (-24/7,-113/33) Parabolic Matrix(4543,15552,-3272,-11201) (-113/33,-89/26) -> (-25/18,-143/103) Hyperbolic Matrix(3329,11392,898,3073) (-89/26,-65/19) -> (63/17,89/24) Hyperbolic Matrix(6081,20800,3836,13121) (-65/19,-171/50) -> (149/94,65/41) Hyperbolic Matrix(6719,22976,-4960,-16961) (-171/50,-106/31) -> (-42/31,-149/110) Hyperbolic Matrix(319,1088,56,191) (-41/12,-17/5) -> (17/3,23/4) Hyperbolic Matrix(321,1088,208,705) (-17/5,-44/13) -> (20/13,17/11) Hyperbolic Matrix(833,2816,360,1217) (-71/21,-27/8) -> (37/16,7/3) Hyperbolic Matrix(191,640,-134,-449) (-27/8,-10/3) -> (-10/7,-37/26) Hyperbolic Matrix(833,2752,-484,-1599) (-10/3,-33/10) -> (-31/18,-74/43) Hyperbolic Matrix(2175,7168,-1282,-4225) (-33/10,-56/17) -> (-56/33,-95/56) Hyperbolic Matrix(447,1472,58,191) (-56/17,-23/7) -> (23/3,8/1) Hyperbolic Matrix(449,1472,176,577) (-23/7,-36/11) -> (28/11,23/9) Hyperbolic Matrix(255,832,-118,-385) (-36/11,-13/4) -> (-13/6,-28/13) Hyperbolic Matrix(257,832,198,641) (-13/4,-29/9) -> (35/27,13/10) Hyperbolic Matrix(319,1024,-100,-321) (-29/9,-16/5) -> (-16/5,-35/11) Parabolic Matrix(2879,9152,-2074,-6593) (-35/11,-54/17) -> (-118/85,-93/67) Hyperbolic Matrix(383,1216,40,127) (-54/17,-19/6) -> (19/2,10/1) Hyperbolic Matrix(385,1216,284,897) (-19/6,-22/7) -> (42/31,19/14) Hyperbolic Matrix(449,1408,184,577) (-22/7,-3/1) -> (61/25,22/9) Hyperbolic Matrix(577,1664,422,1217) (-3/1,-23/8) -> (41/30,67/49) Hyperbolic Matrix(1025,2944,446,1281) (-23/8,-43/15) -> (85/37,23/10) Hyperbolic Matrix(2303,6592,-850,-2433) (-43/15,-20/7) -> (-84/31,-149/55) Hyperbolic Matrix(383,1088,270,767) (-20/7,-17/6) -> (17/12,44/31) Hyperbolic Matrix(1471,4160,-1064,-3009) (-17/6,-48/17) -> (-112/81,-47/34) Hyperbolic Matrix(1407,3968,862,2431) (-48/17,-31/11) -> (31/19,80/49) Hyperbolic Matrix(319,896,68,191) (-31/11,-14/5) -> (14/3,33/7) Hyperbolic Matrix(321,896,-206,-575) (-14/5,-25/9) -> (-39/25,-14/9) Hyperbolic Matrix(1407,3904,830,2303) (-25/9,-61/22) -> (61/36,39/23) Hyperbolic Matrix(1409,3904,-554,-1535) (-61/22,-36/13) -> (-28/11,-61/24) Hyperbolic Matrix(255,704,46,127) (-36/13,-11/4) -> (11/2,28/5) Hyperbolic Matrix(959,2624,-398,-1089) (-11/4,-41/15) -> (-41/17,-53/22) Hyperbolic Matrix(703,1920,398,1087) (-41/15,-30/11) -> (30/17,23/13) Hyperbolic Matrix(1151,3136,-846,-2305) (-30/11,-49/18) -> (-49/36,-34/25) Hyperbolic Matrix(897,2432,142,385) (-19/7,-84/31) -> (44/7,19/3) Hyperbolic Matrix(7679,20800,5434,14719) (-149/55,-65/24) -> (65/46,171/121) Hyperbolic Matrix(1537,4160,426,1153) (-65/24,-46/17) -> (18/5,65/18) Hyperbolic Matrix(3265,8832,-2058,-5567) (-46/17,-73/27) -> (-119/75,-46/29) Hyperbolic Matrix(3457,9344,616,1665) (-73/27,-100/37) -> (28/5,73/13) Hyperbolic Matrix(2369,6400,640,1729) (-100/37,-27/10) -> (37/10,100/27) Hyperbolic Matrix(191,512,-72,-193) (-27/10,-8/3) -> (-8/3,-37/14) Parabolic Matrix(3199,8448,-1406,-3713) (-37/14,-66/25) -> (-66/29,-91/40) Hyperbolic Matrix(6207,16384,-3904,-10305) (-66/25,-95/36) -> (-159/100,-62/39) Hyperbolic Matrix(6719,17728,-5264,-13889) (-95/36,-29/11) -> (-157/123,-97/76) Hyperbolic Matrix(1409,3712,632,1665) (-29/11,-79/30) -> (49/22,29/13) Hyperbolic Matrix(6271,16512,3840,10111) (-79/30,-129/49) -> (129/79,49/30) Hyperbolic Matrix(1921,5056,1508,3969) (-129/49,-50/19) -> (14/11,65/51) Hyperbolic Matrix(3649,9600,-2262,-5951) (-50/19,-71/27) -> (-121/75,-50/31) Hyperbolic Matrix(4479,11776,1022,2687) (-71/27,-92/35) -> (92/21,57/13) Hyperbolic Matrix(3263,8576,998,2623) (-92/35,-21/8) -> (85/26,36/11) Hyperbolic Matrix(1343,3520,-562,-1473) (-21/8,-55/21) -> (-55/23,-43/18) Hyperbolic Matrix(831,2176,464,1215) (-55/21,-34/13) -> (34/19,9/5) Hyperbolic Matrix(1151,3008,-882,-2305) (-34/13,-47/18) -> (-47/36,-30/23) Hyperbolic Matrix(321,832,272,705) (-13/5,-44/17) -> (20/17,13/11) Hyperbolic Matrix(767,1984,346,895) (-44/17,-31/12) -> (31/14,20/9) Hyperbolic Matrix(1537,3968,992,2561) (-31/12,-80/31) -> (48/31,31/20) Hyperbolic Matrix(7615,19648,2108,5439) (-80/31,-129/50) -> (65/18,112/31) Hyperbolic Matrix(6401,16512,3970,10241) (-129/50,-49/19) -> (79/49,129/80) Hyperbolic Matrix(3649,9408,2160,5569) (-49/19,-116/45) -> (76/45,49/29) Hyperbolic Matrix(7871,20288,3004,7743) (-116/45,-67/26) -> (131/50,76/29) Hyperbolic Matrix(895,2304,646,1663) (-67/26,-18/7) -> (18/13,61/44) Hyperbolic Matrix(449,1152,-274,-703) (-18/7,-23/9) -> (-41/25,-18/11) Hyperbolic Matrix(577,1472,176,449) (-23/9,-28/11) -> (36/11,23/7) Hyperbolic Matrix(3199,8128,-1814,-4609) (-61/24,-33/13) -> (-97/55,-67/38) Hyperbolic Matrix(833,2112,480,1217) (-33/13,-5/2) -> (59/34,33/19) Hyperbolic Matrix(129,320,52,129) (-5/2,-32/13) -> (32/13,5/2) Hyperbolic Matrix(703,1728,286,703) (-32/13,-27/11) -> (27/11,32/13) Hyperbolic Matrix(2113,5184,-1330,-3263) (-27/11,-76/31) -> (-116/73,-27/17) Hyperbolic Matrix(3839,9408,2350,5759) (-76/31,-49/20) -> (49/30,116/71) Hyperbolic Matrix(575,1408,78,191) (-49/20,-22/9) -> (22/3,15/2) Hyperbolic Matrix(577,1408,184,449) (-22/9,-61/25) -> (3/1,22/7) Hyperbolic Matrix(1601,3904,1024,2497) (-61/25,-39/16) -> (25/16,61/39) Hyperbolic Matrix(2943,7168,-2050,-4993) (-39/16,-56/23) -> (-56/39,-89/62) Hyperbolic Matrix(447,1088,394,959) (-56/23,-17/7) -> (17/15,8/7) Hyperbolic Matrix(897,2176,-580,-1407) (-17/7,-63/26) -> (-65/42,-17/11) Hyperbolic Matrix(2431,5888,898,2175) (-63/26,-46/19) -> (46/17,65/24) Hyperbolic Matrix(769,1856,-636,-1535) (-29/12,-41/17) -> (-23/19,-29/24) Hyperbolic Matrix(319,768,292,703) (-53/22,-65/27) -> (1/1,11/10) Hyperbolic Matrix(3457,8320,-2712,-6527) (-65/27,-12/5) -> (-116/91,-65/51) Hyperbolic Matrix(3583,8576,1390,3327) (-12/5,-67/28) -> (67/26,116/45) Hyperbolic Matrix(21375,51136,-13216,-31617) (-67/28,-122/51) -> (-186/115,-317/196) Hyperbolic Matrix(5887,14080,4174,9983) (-122/51,-55/23) -> (55/39,134/95) Hyperbolic Matrix(1153,2752,-804,-1919) (-43/18,-31/13) -> (-33/23,-43/30) Hyperbolic Matrix(833,1984,296,705) (-31/13,-50/21) -> (14/5,31/11) Hyperbolic Matrix(703,1664,-406,-961) (-19/8,-26/11) -> (-26/15,-45/26) Hyperbolic Matrix(705,1664,136,321) (-26/11,-59/25) -> (5/1,26/5) Hyperbolic Matrix(895,2112,542,1279) (-59/25,-33/14) -> (33/20,5/3) Hyperbolic Matrix(191,448,136,319) (-33/14,-7/3) -> (7/5,31/22) Hyperbolic Matrix(193,448,28,65) (-7/3,-37/16) -> (27/4,7/1) Hyperbolic Matrix(2049,4736,1108,2561) (-37/16,-67/29) -> (61/33,37/20) Hyperbolic Matrix(5375,12416,-3436,-7937) (-67/29,-30/13) -> (-158/101,-61/39) Hyperbolic Matrix(833,1920,528,1217) (-30/13,-23/10) -> (41/26,30/19) Hyperbolic Matrix(447,1024,-196,-449) (-23/10,-16/7) -> (-16/7,-41/18) Parabolic Matrix(1855,4224,646,1471) (-41/18,-107/47) -> (43/15,23/8) Hyperbolic Matrix(4161,9472,872,1985) (-107/47,-66/29) -> (62/13,43/9) Hyperbolic Matrix(4417,10048,-2616,-5951) (-91/40,-25/11) -> (-103/61,-27/16) Hyperbolic Matrix(1409,3200,1184,2689) (-25/11,-84/37) -> (44/37,25/21) Hyperbolic Matrix(3073,6976,1692,3841) (-84/37,-59/26) -> (69/38,20/11) Hyperbolic Matrix(959,2176,-762,-1729) (-59/26,-34/15) -> (-34/27,-5/4) Hyperbolic Matrix(961,2176,594,1345) (-34/15,-9/4) -> (55/34,34/21) Hyperbolic Matrix(257,576,-228,-511) (-9/4,-38/17) -> (-26/23,-9/8) Hyperbolic Matrix(7681,17152,2064,4609) (-67/30,-96/43) -> (160/43,67/18) Hyperbolic Matrix(6079,13568,1634,3647) (-96/43,-29/13) -> (93/25,160/43) Hyperbolic Matrix(1665,3712,632,1409) (-29/13,-49/22) -> (79/30,29/11) Hyperbolic Matrix(5633,12544,-4368,-9727) (-49/22,-118/53) -> (-138/107,-49/38) Hyperbolic Matrix(13569,30208,-7474,-16639) (-118/53,-69/31) -> (-187/103,-118/65) Hyperbolic Matrix(3135,6976,1754,3903) (-69/31,-20/9) -> (84/47,59/33) Hyperbolic Matrix(895,1984,346,767) (-20/9,-31/14) -> (31/12,44/17) Hyperbolic Matrix(897,1984,-694,-1535) (-31/14,-11/5) -> (-53/41,-31/24) Hyperbolic Matrix(321,704,88,193) (-11/5,-24/11) -> (40/11,11/3) Hyperbolic Matrix(1409,3072,294,641) (-24/11,-61/28) -> (67/14,24/5) Hyperbolic Matrix(2175,4736,1234,2687) (-61/28,-37/17) -> (37/21,67/38) Hyperbolic Matrix(1089,2368,854,1857) (-37/17,-13/6) -> (51/40,37/29) Hyperbolic Matrix(2113,4544,804,1729) (-28/13,-43/20) -> (21/8,92/35) Hyperbolic Matrix(1729,3712,388,833) (-58/27,-15/7) -> (49/11,58/13) Hyperbolic Matrix(449,960,210,449) (-15/7,-32/15) -> (32/15,15/7) Hyperbolic Matrix(511,1088,240,511) (-32/15,-17/8) -> (17/8,32/15) Hyperbolic Matrix(513,1088,-422,-895) (-17/8,-2/1) -> (-62/51,-17/14) Hyperbolic Matrix(639,1216,134,255) (-2/1,-19/10) -> (19/4,62/13) Hyperbolic Matrix(577,1088,306,577) (-17/9,-32/17) -> (32/17,17/9) Hyperbolic Matrix(511,960,272,511) (-32/17,-15/8) -> (15/8,32/17) Hyperbolic Matrix(447,832,-310,-577) (-15/8,-13/7) -> (-13/9,-49/34) Hyperbolic Matrix(1279,2368,276,511) (-13/7,-37/20) -> (37/8,51/11) Hyperbolic Matrix(2561,4736,1108,2049) (-37/20,-61/33) -> (67/29,37/16) Hyperbolic Matrix(4225,7808,1178,2177) (-61/33,-24/13) -> (104/29,61/17) Hyperbolic Matrix(383,704,278,511) (-24/13,-11/6) -> (11/8,40/29) Hyperbolic Matrix(1857,3392,-1436,-2623) (-11/6,-42/23) -> (-22/17,-75/58) Hyperbolic Matrix(1089,1984,668,1217) (-31/17,-20/11) -> (44/27,31/19) Hyperbolic Matrix(3841,6976,1692,3073) (-20/11,-69/38) -> (59/26,84/37) Hyperbolic Matrix(36095,65536,16214,29439) (-69/38,-256/141) -> (256/115,187/84) Hyperbolic Matrix(36097,65536,16216,29441) (-256/141,-187/103) -> (69/31,256/115) Hyperbolic Matrix(12481,22656,-8990,-16319) (-118/65,-49/27) -> (-143/103,-118/85) Hyperbolic Matrix(2047,3712,1270,2303) (-49/27,-29/16) -> (29/18,79/49) Hyperbolic Matrix(2369,4288,-1732,-3135) (-29/16,-38/21) -> (-26/19,-93/68) Hyperbolic Matrix(1215,2176,464,831) (-9/5,-34/19) -> (34/13,55/21) Hyperbolic Matrix(16063,28736,-10268,-18369) (-34/19,-127/71) -> (-255/163,-158/101) Hyperbolic Matrix(9089,16256,2076,3713) (-127/71,-93/52) -> (35/8,127/29) Hyperbolic Matrix(3903,6976,1754,3135) (-59/33,-84/47) -> (20/9,69/31) Hyperbolic Matrix(1791,3200,286,511) (-84/47,-25/14) -> (25/4,44/7) Hyperbolic Matrix(575,1024,-324,-577) (-25/14,-16/9) -> (-16/9,-39/22) Parabolic Matrix(4479,7936,-2818,-4993) (-39/22,-62/35) -> (-62/39,-89/56) Hyperbolic Matrix(4481,7936,3542,6273) (-62/35,-85/48) -> (43/34,62/49) Hyperbolic Matrix(1663,2944,1084,1919) (-85/48,-23/13) -> (23/15,43/28) Hyperbolic Matrix(1087,1920,398,703) (-23/13,-30/17) -> (30/11,41/15) Hyperbolic Matrix(3519,6208,-2794,-4929) (-30/17,-97/55) -> (-97/77,-34/27) Hyperbolic Matrix(2687,4736,1234,2175) (-67/38,-37/21) -> (37/17,61/28) Hyperbolic Matrix(1599,2816,1126,1983) (-37/21,-7/4) -> (71/50,27/19) Hyperbolic Matrix(257,448,74,129) (-7/4,-33/19) -> (31/9,7/2) Hyperbolic Matrix(1217,2112,480,833) (-33/19,-59/34) -> (5/2,33/13) Hyperbolic Matrix(959,1664,774,1343) (-59/34,-26/15) -> (26/21,5/4) Hyperbolic Matrix(2367,4096,998,1727) (-45/26,-64/37) -> (64/27,19/8) Hyperbolic Matrix(2369,4096,1000,1729) (-64/37,-19/11) -> (45/19,64/27) Hyperbolic Matrix(705,1216,-556,-959) (-19/11,-31/18) -> (-33/26,-19/15) Hyperbolic Matrix(1153,1984,1042,1793) (-74/43,-117/68) -> (11/10,10/9) Hyperbolic Matrix(11457,19712,3460,5953) (-117/68,-160/93) -> (96/29,53/16) Hyperbolic Matrix(6399,11008,1934,3327) (-160/93,-43/25) -> (43/13,96/29) Hyperbolic Matrix(2047,3520,-1266,-2177) (-43/25,-12/7) -> (-76/47,-21/13) Hyperbolic Matrix(1535,2624,-974,-1665) (-12/7,-41/24) -> (-41/26,-52/33) Hyperbolic Matrix(1537,2624,-1274,-2175) (-70/41,-29/17) -> (-35/29,-6/5) Hyperbolic Matrix(1089,1856,-788,-1343) (-29/17,-17/10) -> (-47/34,-29/21) Hyperbolic Matrix(641,1088,76,129) (-17/10,-56/33) -> (8/1,17/2) Hyperbolic Matrix(2113,3584,1774,3009) (-95/56,-39/23) -> (25/21,31/26) Hyperbolic Matrix(2303,3904,830,1407) (-39/23,-61/36) -> (61/22,25/9) Hyperbolic Matrix(831,1408,566,959) (-61/36,-22/13) -> (22/15,3/2) Hyperbolic Matrix(833,1408,720,1217) (-22/13,-49/29) -> (15/13,22/19) Hyperbolic Matrix(5569,9408,2160,3649) (-49/29,-76/45) -> (116/45,49/19) Hyperbolic Matrix(14591,24640,-11446,-19329) (-76/45,-103/61) -> (-167/131,-116/91) Hyperbolic Matrix(1025,1728,608,1025) (-27/16,-32/19) -> (32/19,27/16) Hyperbolic Matrix(191,320,114,191) (-32/19,-5/3) -> (5/3,32/19) Hyperbolic Matrix(1279,2112,542,895) (-5/3,-33/20) -> (33/14,59/25) Hyperbolic Matrix(2369,3904,-1514,-2495) (-33/20,-28/17) -> (-36/23,-97/62) Hyperbolic Matrix(895,1472,622,1023) (-28/17,-23/14) -> (23/16,36/25) Hyperbolic Matrix(2495,4096,974,1599) (-23/14,-64/39) -> (64/25,41/16) Hyperbolic Matrix(2497,4096,976,1601) (-64/39,-41/25) -> (23/9,64/25) Hyperbolic Matrix(1409,2304,392,641) (-18/11,-67/41) -> (61/17,18/5) Hyperbolic Matrix(5249,8576,3056,4993) (-67/41,-116/71) -> (12/7,67/39) Hyperbolic Matrix(5759,9408,2350,3839) (-116/71,-49/30) -> (49/20,76/31) Hyperbolic Matrix(10111,16512,3840,6271) (-49/30,-129/79) -> (129/49,79/30) Hyperbolic Matrix(6977,11392,2470,4033) (-129/79,-80/49) -> (48/17,65/23) Hyperbolic Matrix(2431,3968,862,1407) (-80/49,-31/19) -> (31/11,48/17) Hyperbolic Matrix(1217,1984,668,1089) (-31/19,-44/27) -> (20/11,31/17) Hyperbolic Matrix(511,832,78,127) (-44/27,-13/8) -> (13/2,20/3) Hyperbolic Matrix(513,832,-394,-639) (-13/8,-34/21) -> (-30/23,-13/10) Hyperbolic Matrix(1345,2176,594,961) (-34/21,-55/34) -> (9/4,34/15) Hyperbolic Matrix(3007,4864,672,1087) (-55/34,-186/115) -> (58/13,9/2) Hyperbolic Matrix(124095,200704,47366,76607) (-317/196,-448/277) -> (448/171,131/50) Hyperbolic Matrix(124097,200704,47368,76609) (-448/277,-131/81) -> (317/121,448/171) Hyperbolic Matrix(12545,20288,7678,12417) (-131/81,-76/47) -> (116/71,67/41) Hyperbolic Matrix(2815,4544,1506,2431) (-21/13,-92/57) -> (28/15,43/23) Hyperbolic Matrix(7297,11776,5632,9089) (-92/57,-71/44) -> (57/44,92/71) Hyperbolic Matrix(22847,36864,8686,14015) (-71/44,-192/119) -> (192/73,121/46) Hyperbolic Matrix(22849,36864,8688,14017) (-192/119,-121/75) -> (71/27,192/73) Hyperbolic Matrix(3135,5056,674,1087) (-50/31,-129/80) -> (65/14,14/3) Hyperbolic Matrix(10241,16512,3970,6401) (-129/80,-79/49) -> (49/19,129/50) Hyperbolic Matrix(2303,3712,1270,2047) (-79/49,-29/18) -> (29/16,49/27) Hyperbolic Matrix(319,512,-200,-321) (-29/18,-8/5) -> (-8/5,-35/22) Parabolic Matrix(2495,3968,-1892,-3009) (-35/22,-97/61) -> (-33/25,-29/22) Hyperbolic Matrix(41215,65536,15294,24319) (-97/61,-256/161) -> (256/95,159/59) Hyperbolic Matrix(41217,65536,15296,24321) (-256/161,-159/100) -> (97/36,256/95) Hyperbolic Matrix(15103,24000,-9586,-15233) (-89/56,-116/73) -> (-52/33,-167/106) Hyperbolic Matrix(4031,6400,2942,4671) (-27/17,-100/63) -> (100/73,37/27) Hyperbolic Matrix(5887,9344,4838,7679) (-100/63,-73/46) -> (73/60,28/23) Hyperbolic Matrix(23231,36864,8590,13631) (-73/46,-192/121) -> (192/71,119/44) Hyperbolic Matrix(23233,36864,8592,13633) (-192/121,-119/75) -> (73/27,192/71) Hyperbolic Matrix(3713,5888,2180,3457) (-46/29,-65/41) -> (63/37,46/27) Hyperbolic Matrix(4159,6592,-2706,-4289) (-65/41,-84/53) -> (-20/13,-63/41) Hyperbolic Matrix(1535,2432,1292,2047) (-84/53,-19/12) -> (19/16,44/37) Hyperbolic Matrix(769,1216,-566,-895) (-19/12,-30/19) -> (-34/25,-19/14) Hyperbolic Matrix(1217,1920,528,833) (-30/19,-41/26) -> (23/10,30/13) Hyperbolic Matrix(447,704,40,63) (-63/40,-11/7) -> (11/1,1/0) Hyperbolic Matrix(449,704,368,577) (-11/7,-36/23) -> (28/23,11/9) Hyperbolic Matrix(31745,49664,6546,10241) (-97/62,-352/225) -> (160/33,97/20) Hyperbolic Matrix(40255,62976,8304,12991) (-352/225,-255/163) -> (63/13,160/33) Hyperbolic Matrix(2497,3904,1024,1601) (-61/39,-25/16) -> (39/16,61/25) Hyperbolic Matrix(2623,4096,942,1471) (-25/16,-64/41) -> (64/23,39/14) Hyperbolic Matrix(2625,4096,944,1473) (-64/41,-39/25) -> (25/9,64/23) Hyperbolic Matrix(1279,1984,742,1151) (-14/9,-31/20) -> (31/18,50/29) Hyperbolic Matrix(2561,3968,992,1537) (-31/20,-48/31) -> (80/31,31/12) Hyperbolic Matrix(7359,11392,2852,4415) (-48/31,-65/42) -> (129/50,80/31) Hyperbolic Matrix(705,1088,208,321) (-17/11,-20/13) -> (44/13,17/5) Hyperbolic Matrix(6207,9536,1624,2495) (-63/41,-43/28) -> (107/28,65/17) Hyperbolic Matrix(2753,4224,1544,2369) (-43/28,-23/15) -> (41/23,107/60) Hyperbolic Matrix(1087,1664,292,447) (-23/15,-3/2) -> (67/18,41/11) Hyperbolic Matrix(959,1408,566,831) (-3/2,-22/15) -> (22/13,61/36) Hyperbolic Matrix(831,1216,218,319) (-22/15,-19/13) -> (19/5,42/11) Hyperbolic Matrix(703,1024,-484,-705) (-19/13,-16/11) -> (-16/11,-45/31) Parabolic Matrix(1279,1856,1146,1663) (-45/31,-74/51) -> (10/9,19/17) Hyperbolic Matrix(2559,3712,-1942,-2817) (-74/51,-29/20) -> (-29/22,-54/41) Hyperbolic Matrix(575,832,132,191) (-29/20,-13/9) -> (13/3,35/8) Hyperbolic Matrix(8129,11712,-6618,-9535) (-49/34,-85/59) -> (-43/35,-113/92) Hyperbolic Matrix(5953,8576,3688,5313) (-85/59,-36/25) -> (92/57,21/13) Hyperbolic Matrix(1023,1472,622,895) (-36/25,-23/16) -> (23/14,28/17) Hyperbolic Matrix(2495,3584,1826,2623) (-23/16,-56/39) -> (56/41,41/30) Hyperbolic Matrix(2497,3584,402,577) (-89/62,-33/23) -> (31/5,25/4) Hyperbolic Matrix(7681,11008,3216,4609) (-43/30,-96/67) -> (160/67,43/18) Hyperbolic Matrix(13759,19712,5762,8255) (-96/67,-53/37) -> (117/49,160/67) Hyperbolic Matrix(447,640,44,63) (-53/37,-10/7) -> (10/1,11/1) Hyperbolic Matrix(2879,4096,854,1215) (-37/26,-64/45) -> (64/19,27/8) Hyperbolic Matrix(2881,4096,856,1217) (-64/45,-27/19) -> (37/11,64/19) Hyperbolic Matrix(1217,1728,-1036,-1471) (-27/19,-44/31) -> (-20/17,-27/23) Hyperbolic Matrix(767,1088,270,383) (-44/31,-17/12) -> (17/6,20/7) Hyperbolic Matrix(769,1088,634,897) (-17/12,-41/29) -> (23/19,17/14) Hyperbolic Matrix(2943,4160,-2174,-3073) (-41/29,-65/46) -> (-65/48,-23/17) Hyperbolic Matrix(8063,11392,5888,8319) (-65/46,-89/63) -> (89/65,63/46) Hyperbolic Matrix(4033,5696,-3126,-4415) (-89/63,-24/17) -> (-40/31,-89/69) Hyperbolic Matrix(1407,1984,-1090,-1537) (-24/17,-31/22) -> (-31/24,-40/31) Hyperbolic Matrix(319,448,136,191) (-31/22,-7/5) -> (7/3,33/14) Hyperbolic Matrix(321,448,230,321) (-7/5,-32/23) -> (32/23,7/5) Hyperbolic Matrix(1151,1600,828,1151) (-32/23,-25/18) -> (25/18,32/23) Hyperbolic Matrix(11713,16256,-9176,-12735) (-93/67,-68/49) -> (-60/47,-157/123) Hyperbolic Matrix(5631,7808,2584,3583) (-104/75,-61/44) -> (61/28,24/11) Hyperbolic Matrix(1663,2304,646,895) (-61/44,-18/13) -> (18/7,67/26) Hyperbolic Matrix(3007,4160,1896,2623) (-18/13,-65/47) -> (65/41,46/29) Hyperbolic Matrix(14209,19648,8702,12033) (-65/47,-112/81) -> (80/49,129/79) Hyperbolic Matrix(1345,1856,-1066,-1471) (-29/21,-40/29) -> (-24/19,-29/23) Hyperbolic Matrix(511,704,278,383) (-40/29,-11/8) -> (11/6,24/13) Hyperbolic Matrix(513,704,94,129) (-11/8,-37/27) -> (27/5,11/2) Hyperbolic Matrix(4671,6400,2942,4031) (-37/27,-100/73) -> (100/63,27/17) Hyperbolic Matrix(13503,18496,-10420,-14273) (-100/73,-63/46) -> (-127/98,-92/71) Hyperbolic Matrix(8319,11392,5888,8063) (-63/46,-89/65) -> (89/63,65/46) Hyperbolic Matrix(17343,23744,-13604,-18625) (-89/65,-115/84) -> (-51/40,-167/131) Hyperbolic Matrix(47871,65536,12902,17663) (-115/84,-256/187) -> (256/69,141/38) Hyperbolic Matrix(47873,65536,12904,17665) (-256/187,-141/103) -> (115/31,256/69) Hyperbolic Matrix(9921,13568,5476,7489) (-93/68,-160/117) -> (96/53,29/16) Hyperbolic Matrix(12543,17152,6926,9471) (-160/117,-67/49) -> (67/37,96/53) Hyperbolic Matrix(1217,1664,422,577) (-67/49,-41/30) -> (23/8,3/1) Hyperbolic Matrix(703,960,-610,-833) (-41/30,-15/11) -> (-15/13,-23/20) Hyperbolic Matrix(3007,4096,798,1087) (-15/11,-64/47) -> (64/17,49/13) Hyperbolic Matrix(3009,4096,800,1089) (-64/47,-49/36) -> (15/4,64/17) Hyperbolic Matrix(897,1216,284,385) (-19/14,-42/31) -> (22/7,19/6) Hyperbolic Matrix(48383,65536,12662,17151) (-149/110,-256/189) -> (256/67,107/28) Hyperbolic Matrix(48385,65536,12664,17153) (-256/189,-107/79) -> (149/39,256/67) Hyperbolic Matrix(7041,9536,2458,3329) (-107/79,-65/48) -> (63/22,43/15) Hyperbolic Matrix(2561,3456,-2086,-2815) (-27/20,-31/23) -> (-97/79,-27/22) Hyperbolic Matrix(191,256,-144,-193) (-31/23,-4/3) -> (-4/3,-33/25) Parabolic Matrix(6271,8256,-4862,-6401) (-54/41,-25/19) -> (-89/69,-138/107) Hyperbolic Matrix(1025,1344,196,257) (-21/16,-38/29) -> (26/5,21/4) Hyperbolic Matrix(831,1088,-734,-961) (-38/29,-17/13) -> (-17/15,-26/23) Hyperbolic Matrix(3135,4096,734,959) (-17/13,-64/49) -> (64/15,47/11) Hyperbolic Matrix(3137,4096,736,961) (-64/49,-47/36) -> (17/4,64/15) Hyperbolic Matrix(641,832,198,257) (-13/10,-35/27) -> (29/9,13/4) Hyperbolic Matrix(12543,16256,5530,7167) (-35/27,-127/98) -> (127/56,93/41) Hyperbolic Matrix(9089,11776,5632,7297) (-92/71,-57/44) -> (71/44,92/57) Hyperbolic Matrix(1087,1408,938,1215) (-57/44,-22/17) -> (22/19,7/6) Hyperbolic Matrix(12671,16384,2870,3711) (-75/58,-128/99) -> (128/29,53/12) Hyperbolic Matrix(12673,16384,2872,3713) (-128/99,-53/41) -> (75/17,128/29) Hyperbolic Matrix(2879,3712,1538,1983) (-49/38,-58/45) -> (58/31,15/8) Hyperbolic Matrix(3777,4864,1442,1857) (-58/45,-9/7) -> (55/21,186/71) Hyperbolic Matrix(449,576,350,449) (-9/7,-32/25) -> (32/25,9/7) Hyperbolic Matrix(1151,1472,900,1151) (-32/25,-23/18) -> (23/18,32/25) Hyperbolic Matrix(3711,4736,-3110,-3969) (-97/76,-37/29) -> (-37/31,-31/26) Hyperbolic Matrix(1857,2368,854,1089) (-37/29,-51/40) -> (13/6,37/17) Hyperbolic Matrix(3969,5056,1508,1921) (-65/51,-14/11) -> (50/19,129/49) Hyperbolic Matrix(705,896,454,577) (-14/11,-33/26) -> (31/20,14/9) Hyperbolic Matrix(961,1216,456,577) (-19/15,-62/49) -> (2/1,19/9) Hyperbolic Matrix(7487,9472,4198,5311) (-62/49,-43/34) -> (107/60,66/37) Hyperbolic Matrix(2431,3072,1316,1663) (-67/53,-24/19) -> (24/13,61/33) Hyperbolic Matrix(9599,12096,7008,8831) (-29/23,-63/50) -> (63/46,163/119) Hyperbolic Matrix(49985,62976,18034,22721) (-63/50,-160/127) -> (352/127,255/92) Hyperbolic Matrix(39423,49664,14224,17919) (-160/127,-97/77) -> (97/35,352/127) Hyperbolic Matrix(1343,1664,774,959) (-5/4,-26/21) -> (26/15,59/34) Hyperbolic Matrix(1087,1344,258,319) (-26/21,-21/17) -> (21/5,38/9) Hyperbolic Matrix(831,1024,-676,-833) (-21/17,-16/13) -> (-16/13,-43/35) Parabolic Matrix(16831,20672,11932,14655) (-113/92,-70/57) -> (134/95,79/56) Hyperbolic Matrix(575,704,156,191) (-27/22,-11/9) -> (11/3,37/10) Hyperbolic Matrix(577,704,368,449) (-11/9,-28/23) -> (36/23,11/7) Hyperbolic Matrix(7679,9344,4838,5887) (-28/23,-73/60) -> (73/46,100/63) Hyperbolic Matrix(1473,1792,1316,1601) (-73/60,-45/37) -> (19/17,9/8) Hyperbolic Matrix(3263,3968,2578,3135) (-45/37,-62/51) -> (62/49,19/15) Hyperbolic Matrix(897,1088,634,769) (-17/14,-23/19) -> (41/29,17/12) Hyperbolic Matrix(3391,4096,582,703) (-29/24,-64/53) -> (64/11,35/6) Hyperbolic Matrix(3393,4096,584,705) (-64/53,-35/29) -> (29/5,64/11) Hyperbolic Matrix(3007,3584,912,1087) (-31/26,-25/21) -> (89/27,33/10) Hyperbolic Matrix(2689,3200,1184,1409) (-25/21,-44/37) -> (84/37,25/11) Hyperbolic Matrix(2047,2432,1292,1535) (-44/37,-19/16) -> (19/12,84/53) Hyperbolic Matrix(1025,1216,864,1025) (-19/16,-32/27) -> (32/27,19/16) Hyperbolic Matrix(703,832,594,703) (-32/27,-13/11) -> (13/11,32/27) Hyperbolic Matrix(705,832,272,321) (-13/11,-20/17) -> (44/17,13/5) Hyperbolic Matrix(383,448,218,255) (-27/23,-7/6) -> (7/4,37/21) Hyperbolic Matrix(1215,1408,938,1087) (-7/6,-22/19) -> (22/17,57/44) Hyperbolic Matrix(1217,1408,720,833) (-22/19,-15/13) -> (49/29,22/13) Hyperbolic Matrix(1281,1472,892,1025) (-23/20,-8/7) -> (56/39,23/16) Hyperbolic Matrix(959,1088,394,447) (-8/7,-17/15) -> (17/7,56/23) Hyperbolic Matrix(1601,1792,1316,1473) (-9/8,-19/17) -> (45/37,73/60) Hyperbolic Matrix(1089,1216,746,833) (-19/17,-10/9) -> (54/37,19/13) Hyperbolic Matrix(577,640,174,193) (-10/9,-11/10) -> (53/16,10/3) Hyperbolic Matrix(641,704,234,257) (-11/10,-1/1) -> (63/23,11/4) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(511,-576,228,-257) (9/8,17/15) -> (47/21,9/4) Hyperbolic Matrix(833,-960,610,-703) (8/7,15/13) -> (15/11,56/41) Hyperbolic Matrix(1471,-1728,1036,-1217) (7/6,20/17) -> (44/31,71/50) Hyperbolic Matrix(2305,-2752,428,-511) (31/26,6/5) -> (70/13,97/18) Hyperbolic Matrix(1535,-1856,636,-769) (6/5,23/19) -> (41/17,70/29) Hyperbolic Matrix(895,-1088,422,-513) (17/14,45/37) -> (19/9,17/8) Hyperbolic Matrix(833,-1024,676,-831) (27/22,16/13) -> (16/13,37/30) Parabolic Matrix(1919,-2368,312,-385) (37/30,58/47) -> (6/1,37/6) Hyperbolic Matrix(3007,-3712,1608,-1985) (58/47,21/17) -> (43/23,58/31) Hyperbolic Matrix(1471,-1856,1066,-1345) (5/4,24/19) -> (40/29,69/50) Hyperbolic Matrix(4353,-5504,1214,-1535) (24/19,43/34) -> (43/12,104/29) Hyperbolic Matrix(959,-1216,556,-705) (19/15,14/11) -> (50/29,19/11) Hyperbolic Matrix(8385,-10688,3062,-3903) (65/51,51/40) -> (115/42,63/23) Hyperbolic Matrix(1153,-1472,300,-383) (37/29,23/18) -> (23/6,27/7) Hyperbolic Matrix(1537,-1984,1090,-1407) (9/7,31/24) -> (31/22,55/39) Hyperbolic Matrix(1535,-1984,694,-897) (31/24,22/17) -> (42/19,31/14) Hyperbolic Matrix(14273,-18496,10420,-13503) (92/71,35/27) -> (163/119,100/73) Hyperbolic Matrix(639,-832,394,-513) (13/10,17/13) -> (47/29,13/8) Hyperbolic Matrix(1857,-2432,830,-1087) (17/13,38/29) -> (38/17,47/21) Hyperbolic Matrix(1217,-1600,340,-447) (21/16,4/3) -> (68/19,43/12) Hyperbolic Matrix(1089,-1472,236,-319) (4/3,23/17) -> (23/5,60/13) Hyperbolic Matrix(3073,-4160,2174,-2943) (23/17,42/31) -> (106/75,41/29) Hyperbolic Matrix(895,-1216,566,-769) (19/14,15/11) -> (49/31,19/12) Hyperbolic Matrix(3135,-4288,1732,-2369) (67/49,26/19) -> (38/21,67/37) Hyperbolic Matrix(4863,-6656,1310,-1793) (26/19,115/84) -> (141/38,26/7) Hyperbolic Matrix(21503,-29440,7854,-10753) (115/84,89/65) -> (167/61,115/42) Hyperbolic Matrix(5889,-8128,2596,-3583) (69/50,29/21) -> (93/41,59/26) Hyperbolic Matrix(1343,-1856,788,-1089) (29/21,18/13) -> (46/27,29/17) Hyperbolic Matrix(3969,-5504,830,-1151) (61/44,43/31) -> (43/9,67/14) Hyperbolic Matrix(1153,-1600,276,-383) (43/31,25/18) -> (25/6,21/5) Hyperbolic Matrix(3265,-4608,2312,-3263) (79/56,24/17) -> (24/17,113/80) Parabolic Matrix(11009,-15552,3080,-4351) (113/80,89/63) -> (25/7,143/40) Hyperbolic Matrix(16257,-22976,4256,-6015) (171/121,106/75) -> (42/11,149/39) Hyperbolic Matrix(449,-640,134,-191) (27/19,10/7) -> (10/3,37/11) Hyperbolic Matrix(1919,-2752,804,-1153) (10/7,33/23) -> (31/13,74/31) Hyperbolic Matrix(4993,-7168,2050,-2943) (33/23,56/39) -> (56/23,95/39) Hyperbolic Matrix(577,-832,310,-447) (36/25,13/9) -> (13/7,28/15) Hyperbolic Matrix(705,-1024,484,-703) (29/20,16/11) -> (16/11,35/24) Parabolic Matrix(6273,-9152,1754,-2559) (35/24,54/37) -> (118/33,93/26) Hyperbolic Matrix(4289,-6592,2706,-4159) (43/28,20/13) -> (84/53,149/94) Hyperbolic Matrix(2689,-4160,744,-1151) (17/11,48/31) -> (112/31,47/13) Hyperbolic Matrix(575,-896,206,-321) (14/9,25/16) -> (39/14,14/5) Hyperbolic Matrix(2495,-3904,1514,-2369) (61/39,36/23) -> (28/17,61/37) Hyperbolic Matrix(1665,-2624,974,-1535) (11/7,41/26) -> (41/24,53/31) Hyperbolic Matrix(1985,-3136,526,-831) (30/19,49/31) -> (49/13,34/9) Hyperbolic Matrix(5567,-8832,2058,-3265) (46/29,73/46) -> (119/44,46/17) Hyperbolic Matrix(321,-512,200,-319) (27/17,8/5) -> (8/5,37/23) Parabolic Matrix(5249,-8448,2942,-4735) (37/23,66/41) -> (66/37,91/51) Hyperbolic Matrix(10177,-16384,3776,-6079) (66/41,95/59) -> (159/59,62/23) Hyperbolic Matrix(11009,-17728,2384,-3839) (95/59,29/18) -> (157/34,97/21) Hyperbolic Matrix(5951,-9600,2262,-3649) (50/31,71/44) -> (121/46,50/19) Hyperbolic Matrix(2177,-3520,1266,-2047) (21/13,55/34) -> (55/32,43/25) Hyperbolic Matrix(1857,-3008,434,-703) (34/21,47/29) -> (47/11,30/7) Hyperbolic Matrix(703,-1152,274,-449) (18/11,23/14) -> (41/16,18/7) Hyperbolic Matrix(4929,-8128,2134,-3519) (61/37,33/20) -> (97/42,67/29) Hyperbolic Matrix(3071,-5184,1138,-1921) (27/16,76/45) -> (116/43,27/10) Hyperbolic Matrix(4225,-7168,1282,-2175) (39/23,56/33) -> (56/17,89/27) Hyperbolic Matrix(1279,-2176,452,-769) (17/10,63/37) -> (65/23,17/6) Hyperbolic Matrix(1087,-1856,188,-321) (29/17,41/24) -> (23/4,29/5) Hyperbolic Matrix(4863,-8320,1048,-1793) (65/38,12/7) -> (116/25,65/14) Hyperbolic Matrix(29761,-51136,11360,-19519) (67/39,122/71) -> (186/71,317/121) Hyperbolic Matrix(1599,-2752,484,-833) (43/25,31/18) -> (33/10,43/13) Hyperbolic Matrix(961,-1664,406,-703) (19/11,26/15) -> (26/11,45/19) Hyperbolic Matrix(7041,-12416,2540,-4479) (67/38,30/17) -> (158/57,61/22) Hyperbolic Matrix(577,-1024,324,-575) (23/13,16/9) -> (16/9,41/23) Parabolic Matrix(5631,-10048,2296,-4097) (91/51,25/14) -> (103/42,27/11) Hyperbolic Matrix(1217,-2176,250,-447) (59/33,34/19) -> (34/7,5/1) Hyperbolic Matrix(319,-576,36,-65) (9/5,38/21) -> (26/3,9/1) Hyperbolic Matrix(6911,-12544,1552,-2817) (49/27,118/65) -> (138/31,49/11) Hyperbolic Matrix(16639,-30208,7474,-13569) (118/65,69/38) -> (187/84,118/53) Hyperbolic Matrix(1087,-1984,246,-449) (31/17,11/6) -> (53/12,31/7) Hyperbolic Matrix(575,-1088,102,-193) (17/9,2/1) -> (62/11,17/3) Hyperbolic Matrix(385,-832,118,-255) (15/7,13/6) -> (13/4,49/15) Hyperbolic Matrix(1535,-3392,348,-769) (11/5,42/19) -> (22/5,75/17) Hyperbolic Matrix(10175,-22656,2846,-6337) (118/53,49/22) -> (143/40,118/33) Hyperbolic Matrix(1919,-4288,516,-1153) (29/13,38/17) -> (26/7,93/25) Hyperbolic Matrix(12673,-28736,4572,-10367) (34/15,127/56) -> (255/92,158/57) Hyperbolic Matrix(449,-1024,196,-447) (25/11,16/7) -> (16/7,39/17) Parabolic Matrix(3457,-7936,1282,-2943) (39/17,62/27) -> (62/23,89/33) Hyperbolic Matrix(2689,-6208,554,-1279) (30/13,97/42) -> (97/20,34/7) Hyperbolic Matrix(511,-1216,108,-257) (19/8,31/13) -> (33/7,19/4) Hyperbolic Matrix(1473,-3520,562,-1343) (43/18,12/5) -> (76/29,21/8) Hyperbolic Matrix(1089,-2624,398,-959) (12/5,41/17) -> (41/15,52/19) Hyperbolic Matrix(1087,-2624,186,-449) (70/29,29/12) -> (35/6,6/1) Hyperbolic Matrix(767,-1856,212,-513) (29/12,17/7) -> (47/13,29/8) Hyperbolic Matrix(10049,-24640,2166,-5311) (76/31,103/42) -> (167/36,116/25) Hyperbolic Matrix(1535,-3904,554,-1409) (33/13,28/11) -> (36/13,97/35) Hyperbolic Matrix(319,-832,74,-193) (13/5,34/13) -> (30/7,13/3) Hyperbolic Matrix(193,-512,72,-191) (29/11,8/3) -> (8/3,35/13) Parabolic Matrix(1473,-3968,356,-959) (35/13,97/36) -> (33/8,29/7) Hyperbolic Matrix(8897,-24000,3250,-8767) (89/33,116/43) -> (52/19,167/61) Hyperbolic Matrix(2433,-6592,850,-2303) (65/24,84/31) -> (20/7,63/22) Hyperbolic Matrix(447,-1216,118,-321) (19/7,30/11) -> (34/9,19/5) Hyperbolic Matrix(321,-1024,100,-319) (19/6,16/5) -> (16/5,45/14) Parabolic Matrix(1153,-3712,278,-895) (74/23,29/9) -> (29/7,54/13) Hyperbolic Matrix(3583,-11712,666,-2177) (49/15,85/26) -> (43/8,113/21) Hyperbolic Matrix(511,-1728,76,-257) (27/8,44/13) -> (20/3,27/4) Hyperbolic Matrix(1217,-4160,318,-1087) (41/12,65/19) -> (65/17,23/6) Hyperbolic Matrix(1663,-5696,374,-1281) (89/26,24/7) -> (40/9,89/20) Hyperbolic Matrix(577,-1984,130,-447) (24/7,31/9) -> (31/7,40/9) Hyperbolic Matrix(4543,-16256,984,-3521) (93/26,68/19) -> (60/13,157/34) Hyperbolic Matrix(511,-1856,106,-385) (29/8,40/11) -> (24/5,29/6) Hyperbolic Matrix(4993,-18496,1140,-4223) (100/27,63/17) -> (127/29,92/21) Hyperbolic Matrix(6401,-23744,1380,-5119) (89/24,115/31) -> (51/11,167/36) Hyperbolic Matrix(257,-960,34,-127) (41/11,15/4) -> (15/2,23/3) Hyperbolic Matrix(895,-3456,166,-641) (27/7,31/8) -> (97/18,27/5) Hyperbolic Matrix(65,-256,16,-63) (31/8,4/1) -> (4/1,33/8) Parabolic Matrix(1985,-8256,446,-1855) (54/13,25/6) -> (89/20,138/31) Hyperbolic Matrix(257,-1088,30,-127) (38/9,17/4) -> (17/2,26/3) Hyperbolic Matrix(1025,-4736,166,-767) (97/21,37/8) -> (37/6,31/5) Hyperbolic Matrix(193,-1024,36,-191) (21/4,16/3) -> (16/3,43/8) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(65,768,38,449) -> Matrix(1,-2,2,-3) Matrix(191,1984,80,831) -> Matrix(1,0,2,1) Matrix(193,1856,60,577) -> Matrix(1,0,0,1) Matrix(191,1792,34,319) -> Matrix(1,0,0,1) Matrix(65,576,-36,-319) -> Matrix(1,0,-2,1) Matrix(129,1088,76,641) -> Matrix(5,-4,4,-3) Matrix(127,960,-34,-257) -> Matrix(11,-14,4,-5) Matrix(191,1408,78,575) -> Matrix(5,-8,12,-19) Matrix(193,1408,44,321) -> Matrix(1,-2,4,-7) Matrix(257,1728,-76,-511) -> Matrix(1,-2,-2,5) Matrix(127,832,78,511) -> Matrix(1,-2,2,-3) Matrix(129,832,20,129) -> Matrix(1,-6,2,-11) Matrix(191,1216,30,191) -> Matrix(1,4,2,9) Matrix(385,2432,142,897) -> Matrix(1,2,2,5) Matrix(511,3200,286,1791) -> Matrix(1,0,4,1) Matrix(575,3584,236,1471) -> Matrix(1,0,2,1) Matrix(447,2752,-364,-2241) -> Matrix(1,-6,0,1) Matrix(321,1856,-188,-1087) -> Matrix(1,0,-2,1) Matrix(191,1088,56,319) -> Matrix(3,-2,8,-5) Matrix(193,1088,-102,-575) -> Matrix(1,0,0,1) Matrix(319,1792,34,191) -> Matrix(1,0,0,1) Matrix(1665,9344,616,3457) -> Matrix(1,0,0,1) Matrix(127,704,46,255) -> Matrix(3,-2,8,-5) Matrix(129,704,94,513) -> Matrix(1,0,0,1) Matrix(191,1024,-36,-193) -> Matrix(15,-14,14,-13) Matrix(449,2368,-376,-1983) -> Matrix(7,-8,8,-9) Matrix(705,3712,-328,-1727) -> Matrix(5,-6,6,-7) Matrix(257,1344,196,1025) -> Matrix(3,-4,10,-13) Matrix(321,1664,136,705) -> Matrix(1,-2,4,-7) Matrix(385,1856,-106,-511) -> Matrix(1,0,0,1) Matrix(1151,5504,-830,-3969) -> Matrix(5,-14,4,-11) Matrix(1663,7936,724,3455) -> Matrix(1,-2,6,-11) Matrix(833,3968,148,705) -> Matrix(1,-2,0,1) Matrix(257,1216,-108,-511) -> Matrix(1,-4,0,1) Matrix(1087,5056,674,3135) -> Matrix(1,-2,0,1) Matrix(2303,10688,-1462,-6785) -> Matrix(1,-4,4,-15) Matrix(511,2368,276,1279) -> Matrix(1,-4,2,-7) Matrix(319,1472,-236,-1089) -> Matrix(1,-2,0,1) Matrix(321,1472,70,321) -> Matrix(1,-12,2,-23) Matrix(127,576,28,127) -> Matrix(1,2,2,5) Matrix(447,1984,-130,-577) -> Matrix(1,2,0,1) Matrix(449,1984,-246,-1087) -> Matrix(1,2,0,1) Matrix(321,1408,44,193) -> Matrix(3,2,4,3) Matrix(2687,11776,1022,4479) -> Matrix(1,0,0,1) Matrix(4223,18496,-1140,-4993) -> Matrix(1,4,0,1) Matrix(191,832,132,575) -> Matrix(1,0,2,1) Matrix(193,832,-74,-319) -> Matrix(1,0,2,1) Matrix(575,2432,-318,-1345) -> Matrix(5,-2,-2,1) Matrix(319,1344,258,1087) -> Matrix(9,-4,16,-7) Matrix(383,1600,-276,-1153) -> Matrix(7,-6,6,-5) Matrix(383,1472,-300,-1153) -> Matrix(3,-2,2,-1) Matrix(1087,4160,-318,-1217) -> Matrix(7,-10,-2,3) Matrix(319,1216,218,831) -> Matrix(3,-4,4,-5) Matrix(321,1216,-118,-447) -> Matrix(1,-2,2,-3) Matrix(961,3584,292,1089) -> Matrix(1,-4,2,-7) Matrix(447,1664,292,1087) -> Matrix(3,-8,2,-5) Matrix(1153,4288,-516,-1919) -> Matrix(3,-10,4,-13) Matrix(1793,6656,-1310,-4863) -> Matrix(3,-8,2,-5) Matrix(7937,29440,-5038,-18687) -> Matrix(1,-4,2,-7) Matrix(3073,11392,898,3329) -> Matrix(1,0,2,1) Matrix(3265,12096,674,2497) -> Matrix(1,-6,2,-11) Matrix(1729,6400,640,2369) -> Matrix(1,-4,2,-7) Matrix(191,704,156,575) -> Matrix(1,0,2,1) Matrix(193,704,88,321) -> Matrix(1,-2,2,-3) Matrix(2239,8128,-1252,-4545) -> Matrix(1,-2,-2,5) Matrix(513,1856,-212,-767) -> Matrix(1,-2,-2,5) Matrix(641,2304,392,1409) -> Matrix(1,-6,2,-11) Matrix(1535,5504,-1214,-4353) -> Matrix(3,-14,2,-9) Matrix(447,1600,-340,-1217) -> Matrix(1,-6,0,1) Matrix(449,1600,126,449) -> Matrix(1,-16,2,-31) Matrix(127,448,36,127) -> Matrix(1,2,2,5) Matrix(129,448,74,257) -> Matrix(1,0,0,1) Matrix(4097,14080,2384,8193) -> Matrix(1,-2,0,1) Matrix(6017,20672,1118,3841) -> Matrix(7,-20,6,-17) Matrix(1343,4608,-392,-1345) -> Matrix(1,-10,0,1) Matrix(4543,15552,-3272,-11201) -> Matrix(7,36,6,31) Matrix(3329,11392,898,3073) -> Matrix(1,0,2,1) Matrix(6081,20800,3836,13121) -> Matrix(1,6,0,1) Matrix(6719,22976,-4960,-16961) -> Matrix(1,6,0,1) Matrix(319,1088,56,191) -> Matrix(1,2,0,1) Matrix(321,1088,208,705) -> Matrix(1,0,2,1) Matrix(833,2816,360,1217) -> Matrix(1,0,6,1) Matrix(191,640,-134,-449) -> Matrix(1,0,0,1) Matrix(833,2752,-484,-1599) -> Matrix(1,0,0,1) Matrix(2175,7168,-1282,-4225) -> Matrix(1,0,0,1) Matrix(447,1472,58,191) -> Matrix(5,-6,6,-7) Matrix(449,1472,176,577) -> Matrix(1,-2,2,-3) Matrix(255,832,-118,-385) -> Matrix(1,0,0,1) Matrix(257,832,198,641) -> Matrix(1,0,0,1) Matrix(319,1024,-100,-321) -> Matrix(3,-2,2,-1) Matrix(2879,9152,-2074,-6593) -> Matrix(5,-4,4,-3) Matrix(383,1216,40,127) -> Matrix(1,-2,2,-3) Matrix(385,1216,284,897) -> Matrix(1,-4,2,-7) Matrix(449,1408,184,577) -> Matrix(1,0,2,1) Matrix(577,1664,422,1217) -> Matrix(3,8,4,11) Matrix(1025,2944,446,1281) -> Matrix(1,2,6,13) Matrix(2303,6592,-850,-2433) -> Matrix(1,0,0,1) Matrix(383,1088,270,767) -> Matrix(1,0,0,1) Matrix(1471,4160,-1064,-3009) -> Matrix(3,-14,2,-9) Matrix(1407,3968,862,2431) -> Matrix(1,6,2,13) Matrix(319,896,68,191) -> Matrix(1,0,2,1) Matrix(321,896,-206,-575) -> Matrix(1,0,2,1) Matrix(1407,3904,830,2303) -> Matrix(1,2,0,1) Matrix(1409,3904,-554,-1535) -> Matrix(1,2,0,1) Matrix(255,704,46,127) -> Matrix(1,2,0,1) Matrix(959,2624,-398,-1089) -> Matrix(1,0,2,1) Matrix(703,1920,398,1087) -> Matrix(1,0,0,1) Matrix(1151,3136,-846,-2305) -> Matrix(9,2,4,1) Matrix(897,2432,142,385) -> Matrix(1,2,2,5) Matrix(7679,20800,5434,14719) -> Matrix(5,6,4,5) Matrix(1537,4160,426,1153) -> Matrix(7,4,12,7) Matrix(3265,8832,-2058,-5567) -> Matrix(1,0,4,1) Matrix(3457,9344,616,1665) -> Matrix(1,0,0,1) Matrix(2369,6400,640,1729) -> Matrix(1,-4,2,-7) Matrix(191,512,-72,-193) -> Matrix(1,0,2,1) Matrix(3199,8448,-1406,-3713) -> Matrix(1,0,4,1) Matrix(6207,16384,-3904,-10305) -> Matrix(1,0,0,1) Matrix(6719,17728,-5264,-13889) -> Matrix(5,-4,4,-3) Matrix(1409,3712,632,1665) -> Matrix(1,-2,2,-3) Matrix(6271,16512,3840,10111) -> Matrix(1,-8,2,-15) Matrix(1921,5056,1508,3969) -> Matrix(3,2,4,3) Matrix(3649,9600,-2262,-5951) -> Matrix(1,0,2,1) Matrix(4479,11776,1022,2687) -> Matrix(1,0,0,1) Matrix(3263,8576,998,2623) -> Matrix(1,0,0,1) Matrix(1343,3520,-562,-1473) -> Matrix(1,0,0,1) Matrix(831,2176,464,1215) -> Matrix(1,0,4,1) Matrix(1151,3008,-882,-2305) -> Matrix(1,0,4,1) Matrix(321,832,272,705) -> Matrix(1,-2,2,-3) Matrix(767,1984,346,895) -> Matrix(1,0,0,1) Matrix(1537,3968,992,2561) -> Matrix(7,-6,6,-5) Matrix(7615,19648,2108,5439) -> Matrix(43,-46,72,-77) Matrix(6401,16512,3970,10241) -> Matrix(7,-8,8,-9) Matrix(3649,9408,2160,5569) -> Matrix(1,0,0,1) Matrix(7871,20288,3004,7743) -> Matrix(1,-2,4,-7) Matrix(895,2304,646,1663) -> Matrix(5,-6,6,-7) Matrix(449,1152,-274,-703) -> Matrix(1,0,0,1) Matrix(577,1472,176,449) -> Matrix(1,-2,2,-3) Matrix(3199,8128,-1814,-4609) -> Matrix(1,-2,4,-7) Matrix(833,2112,480,1217) -> Matrix(1,0,0,1) Matrix(129,320,52,129) -> Matrix(1,-2,2,-3) Matrix(703,1728,286,703) -> Matrix(1,10,2,21) Matrix(2113,5184,-1330,-3263) -> Matrix(1,4,2,9) Matrix(3839,9408,2350,5759) -> Matrix(1,0,2,1) Matrix(575,1408,78,191) -> Matrix(3,8,4,11) Matrix(577,1408,184,449) -> Matrix(1,0,2,1) Matrix(1601,3904,1024,2497) -> Matrix(1,2,0,1) Matrix(2943,7168,-2050,-4993) -> Matrix(1,0,0,1) Matrix(447,1088,394,959) -> Matrix(1,4,2,9) Matrix(897,2176,-580,-1407) -> Matrix(3,4,2,3) Matrix(2431,5888,898,2175) -> Matrix(3,2,10,7) Matrix(769,1856,-636,-1535) -> Matrix(1,0,-2,1) Matrix(319,768,292,703) -> Matrix(1,-2,2,-3) Matrix(3457,8320,-2712,-6527) -> Matrix(3,4,2,3) Matrix(3583,8576,1390,3327) -> Matrix(3,2,4,3) Matrix(21375,51136,-13216,-31617) -> Matrix(1,0,2,1) Matrix(5887,14080,4174,9983) -> Matrix(3,2,4,3) Matrix(1153,2752,-804,-1919) -> Matrix(1,0,0,1) Matrix(833,1984,296,705) -> Matrix(1,4,2,9) Matrix(703,1664,-406,-961) -> Matrix(1,0,2,1) Matrix(705,1664,136,321) -> Matrix(3,2,4,3) Matrix(895,2112,542,1279) -> Matrix(1,0,2,1) Matrix(191,448,136,319) -> Matrix(1,0,2,1) Matrix(193,448,28,65) -> Matrix(3,2,4,3) Matrix(2049,4736,1108,2561) -> Matrix(1,0,4,1) Matrix(5375,12416,-3436,-7937) -> Matrix(1,0,4,1) Matrix(833,1920,528,1217) -> Matrix(1,0,2,1) Matrix(447,1024,-196,-449) -> Matrix(1,0,10,1) Matrix(1855,4224,646,1471) -> Matrix(11,-2,28,-5) Matrix(4161,9472,872,1985) -> Matrix(13,-2,20,-3) Matrix(4417,10048,-2616,-5951) -> Matrix(19,-4,24,-5) Matrix(1409,3200,1184,2689) -> Matrix(1,0,-2,1) Matrix(3073,6976,1692,3841) -> Matrix(1,0,0,1) Matrix(959,2176,-762,-1729) -> Matrix(7,-2,4,-1) Matrix(961,2176,594,1345) -> Matrix(1,0,-2,1) Matrix(257,576,-228,-511) -> Matrix(1,0,-2,1) Matrix(7681,17152,2064,4609) -> Matrix(35,-32,58,-53) Matrix(6079,13568,1634,3647) -> Matrix(25,-28,42,-47) Matrix(1665,3712,632,1409) -> Matrix(1,-2,2,-3) Matrix(5633,12544,-4368,-9727) -> Matrix(1,2,0,1) Matrix(13569,30208,-7474,-16639) -> Matrix(1,0,6,1) Matrix(3135,6976,1754,3903) -> Matrix(1,0,2,1) Matrix(895,1984,346,767) -> Matrix(1,0,0,1) Matrix(897,1984,-694,-1535) -> Matrix(1,-2,2,-3) Matrix(321,704,88,193) -> Matrix(1,-2,2,-3) Matrix(1409,3072,294,641) -> Matrix(5,-2,8,-3) Matrix(2175,4736,1234,2687) -> Matrix(1,0,-2,1) Matrix(1089,2368,854,1857) -> Matrix(3,-4,4,-5) Matrix(2113,4544,804,1729) -> Matrix(1,0,0,1) Matrix(1729,3712,388,833) -> Matrix(1,-2,2,-3) Matrix(449,960,210,449) -> Matrix(1,-2,2,-3) Matrix(511,1088,240,511) -> Matrix(1,2,2,5) Matrix(513,1088,-422,-895) -> Matrix(1,0,0,1) Matrix(639,1216,134,255) -> Matrix(5,-2,8,-3) Matrix(577,1088,306,577) -> Matrix(3,-2,2,-1) Matrix(511,960,272,511) -> Matrix(1,-2,2,-3) Matrix(447,832,-310,-577) -> Matrix(1,0,0,1) Matrix(1279,2368,276,511) -> Matrix(1,-4,2,-7) Matrix(2561,4736,1108,2049) -> Matrix(1,0,4,1) Matrix(4225,7808,1178,2177) -> Matrix(1,-4,2,-7) Matrix(383,704,278,511) -> Matrix(1,-2,2,-3) Matrix(1857,3392,-1436,-2623) -> Matrix(1,-2,2,-3) Matrix(1089,1984,668,1217) -> Matrix(1,0,2,1) Matrix(3841,6976,1692,3073) -> Matrix(1,0,0,1) Matrix(36095,65536,16214,29439) -> Matrix(1,0,14,1) Matrix(36097,65536,16216,29441) -> Matrix(1,0,-12,1) Matrix(12481,22656,-8990,-16319) -> Matrix(19,-6,16,-5) Matrix(2047,3712,1270,2303) -> Matrix(1,-2,2,-3) Matrix(2369,4288,-1732,-3135) -> Matrix(3,10,2,7) Matrix(1215,2176,464,831) -> Matrix(1,0,4,1) Matrix(16063,28736,-10268,-18369) -> Matrix(1,0,2,1) Matrix(9089,16256,2076,3713) -> Matrix(1,0,4,1) Matrix(3903,6976,1754,3135) -> Matrix(1,0,2,1) Matrix(1791,3200,286,511) -> Matrix(1,0,4,1) Matrix(575,1024,-324,-577) -> Matrix(1,0,10,1) Matrix(4479,7936,-2818,-4993) -> Matrix(1,0,-4,1) Matrix(4481,7936,3542,6273) -> Matrix(9,-2,14,-3) Matrix(1663,2944,1084,1919) -> Matrix(11,-2,6,-1) Matrix(1087,1920,398,703) -> Matrix(1,0,0,1) Matrix(3519,6208,-2794,-4929) -> Matrix(11,-2,6,-1) Matrix(2687,4736,1234,2175) -> Matrix(1,0,-2,1) Matrix(1599,2816,1126,1983) -> Matrix(1,0,-4,1) Matrix(257,448,74,129) -> Matrix(1,0,0,1) Matrix(1217,2112,480,833) -> Matrix(1,0,0,1) Matrix(959,1664,774,1343) -> Matrix(5,-2,8,-3) Matrix(2367,4096,998,1727) -> Matrix(3,-2,8,-5) Matrix(2369,4096,1000,1729) -> Matrix(3,-2,8,-5) Matrix(705,1216,-556,-959) -> Matrix(5,-4,4,-3) Matrix(1153,1984,1042,1793) -> Matrix(1,0,0,1) Matrix(11457,19712,3460,5953) -> Matrix(5,-4,4,-3) Matrix(6399,11008,1934,3327) -> Matrix(1,-2,2,-3) Matrix(2047,3520,-1266,-2177) -> Matrix(1,0,0,1) Matrix(1535,2624,-974,-1665) -> Matrix(1,0,2,1) Matrix(1537,2624,-1274,-2175) -> Matrix(1,0,2,1) Matrix(1089,1856,-788,-1343) -> Matrix(7,-2,4,-1) Matrix(641,1088,76,129) -> Matrix(5,-4,4,-3) Matrix(2113,3584,1774,3009) -> Matrix(1,0,0,1) Matrix(2303,3904,830,1407) -> Matrix(3,-2,8,-5) Matrix(831,1408,566,959) -> Matrix(1,0,0,1) Matrix(833,1408,720,1217) -> Matrix(11,-8,18,-13) Matrix(5569,9408,2160,3649) -> Matrix(1,0,0,1) Matrix(14591,24640,-11446,-19329) -> Matrix(31,-24,22,-17) Matrix(1025,1728,608,1025) -> Matrix(11,-10,10,-9) Matrix(191,320,114,191) -> Matrix(1,-2,2,-3) Matrix(1279,2112,542,895) -> Matrix(1,0,2,1) Matrix(2369,3904,-1514,-2495) -> Matrix(1,-2,2,-3) Matrix(895,1472,622,1023) -> Matrix(1,-2,2,-3) Matrix(2495,4096,974,1599) -> Matrix(1,-2,2,-3) Matrix(2497,4096,976,1601) -> Matrix(1,-2,2,-3) Matrix(1409,2304,392,641) -> Matrix(1,-6,2,-11) Matrix(5249,8576,3056,4993) -> Matrix(1,-2,0,1) Matrix(5759,9408,2350,3839) -> Matrix(1,0,2,1) Matrix(10111,16512,3840,6271) -> Matrix(1,-8,2,-15) Matrix(6977,11392,2470,4033) -> Matrix(1,-20,2,-39) Matrix(2431,3968,862,1407) -> Matrix(1,6,2,13) Matrix(1217,1984,668,1089) -> Matrix(1,0,2,1) Matrix(511,832,78,127) -> Matrix(1,-2,2,-3) Matrix(513,832,-394,-639) -> Matrix(1,0,2,1) Matrix(1345,2176,594,961) -> Matrix(1,0,-2,1) Matrix(3007,4864,672,1087) -> Matrix(1,0,0,1) Matrix(124095,200704,47366,76607) -> Matrix(1,0,2,1) Matrix(124097,200704,47368,76609) -> Matrix(1,0,0,1) Matrix(12545,20288,7678,12417) -> Matrix(5,-2,8,-3) Matrix(2815,4544,1506,2431) -> Matrix(1,0,2,1) Matrix(7297,11776,5632,9089) -> Matrix(1,0,2,1) Matrix(22847,36864,8686,14015) -> Matrix(1,0,10,1) Matrix(22849,36864,8688,14017) -> Matrix(1,0,-8,1) Matrix(3135,5056,674,1087) -> Matrix(5,-2,8,-3) Matrix(10241,16512,3970,6401) -> Matrix(7,-8,8,-9) Matrix(2303,3712,1270,2047) -> Matrix(1,-2,2,-3) Matrix(319,512,-200,-321) -> Matrix(1,0,2,1) Matrix(2495,3968,-1892,-3009) -> Matrix(1,0,-2,1) Matrix(41215,65536,15294,24319) -> Matrix(3,-2,8,-5) Matrix(41217,65536,15296,24321) -> Matrix(3,-2,8,-5) Matrix(15103,24000,-9586,-15233) -> Matrix(1,0,0,1) Matrix(4031,6400,2942,4671) -> Matrix(3,-4,4,-5) Matrix(5887,9344,4838,7679) -> Matrix(1,0,2,1) Matrix(23231,36864,8590,13631) -> Matrix(1,0,8,1) Matrix(23233,36864,8592,13633) -> Matrix(1,0,-6,1) Matrix(3713,5888,2180,3457) -> Matrix(5,-2,-2,1) Matrix(4159,6592,-2706,-4289) -> Matrix(1,0,0,1) Matrix(1535,2432,1292,2047) -> Matrix(3,-2,2,-1) Matrix(769,1216,-566,-895) -> Matrix(1,2,0,1) Matrix(1217,1920,528,833) -> Matrix(1,0,2,1) Matrix(447,704,40,63) -> Matrix(5,-2,8,-3) Matrix(449,704,368,577) -> Matrix(3,-2,8,-5) Matrix(31745,49664,6546,10241) -> Matrix(5,-2,8,-3) Matrix(40255,62976,8304,12991) -> Matrix(1,-4,2,-7) Matrix(2497,3904,1024,1601) -> Matrix(3,-2,8,-5) Matrix(2623,4096,942,1471) -> Matrix(3,-2,8,-5) Matrix(2625,4096,944,1473) -> Matrix(3,-2,8,-5) Matrix(1279,1984,742,1151) -> Matrix(5,-4,4,-3) Matrix(2561,3968,992,1537) -> Matrix(7,-6,6,-5) Matrix(7359,11392,2852,4415) -> Matrix(19,-20,20,-21) Matrix(705,1088,208,321) -> Matrix(1,0,2,1) Matrix(6207,9536,1624,2495) -> Matrix(13,-8,18,-11) Matrix(2753,4224,1544,2369) -> Matrix(3,-2,20,-13) Matrix(1087,1664,292,447) -> Matrix(11,-8,18,-13) Matrix(959,1408,566,831) -> Matrix(1,0,0,1) Matrix(831,1216,218,319) -> Matrix(3,-4,4,-5) Matrix(703,1024,-484,-705) -> Matrix(1,-2,0,1) Matrix(1279,1856,1146,1663) -> Matrix(1,0,2,1) Matrix(2559,3712,-1942,-2817) -> Matrix(1,0,0,1) Matrix(575,832,132,191) -> Matrix(1,0,2,1) Matrix(8129,11712,-6618,-9535) -> Matrix(1,-8,0,1) Matrix(5953,8576,3688,5313) -> Matrix(1,0,2,1) Matrix(1023,1472,622,895) -> Matrix(1,-2,2,-3) Matrix(2495,3584,1826,2623) -> Matrix(3,-4,4,-5) Matrix(2497,3584,402,577) -> Matrix(1,0,2,1) Matrix(7681,11008,3216,4609) -> Matrix(1,-2,2,-3) Matrix(13759,19712,5762,8255) -> Matrix(1,4,2,9) Matrix(447,640,44,63) -> Matrix(1,0,2,1) Matrix(2879,4096,854,1215) -> Matrix(1,0,8,1) Matrix(2881,4096,856,1217) -> Matrix(1,0,-6,1) Matrix(1217,1728,-1036,-1471) -> Matrix(7,-2,4,-1) Matrix(767,1088,270,383) -> Matrix(1,0,0,1) Matrix(769,1088,634,897) -> Matrix(3,-2,8,-5) Matrix(2943,4160,-2174,-3073) -> Matrix(13,-10,4,-3) Matrix(8063,11392,5888,8319) -> Matrix(1,0,0,1) Matrix(4033,5696,-3126,-4415) -> Matrix(9,-8,8,-7) Matrix(1407,1984,-1090,-1537) -> Matrix(1,-2,2,-3) Matrix(319,448,136,191) -> Matrix(1,0,2,1) Matrix(321,448,230,321) -> Matrix(3,-2,2,-1) Matrix(1151,1600,828,1151) -> Matrix(15,-16,16,-17) Matrix(11713,16256,-9176,-12735) -> Matrix(1,-2,2,-3) Matrix(5631,7808,2584,3583) -> Matrix(3,-4,4,-5) Matrix(1663,2304,646,895) -> Matrix(5,-6,6,-7) Matrix(3007,4160,1896,2623) -> Matrix(3,-4,-2,3) Matrix(14209,19648,8702,12033) -> Matrix(31,-46,60,-89) Matrix(1345,1856,-1066,-1471) -> Matrix(1,0,0,1) Matrix(511,704,278,383) -> Matrix(1,-2,2,-3) Matrix(513,704,94,129) -> Matrix(1,0,0,1) Matrix(4671,6400,2942,4031) -> Matrix(3,-4,4,-5) Matrix(13503,18496,-10420,-14273) -> Matrix(3,-4,4,-5) Matrix(8319,11392,5888,8063) -> Matrix(1,0,0,1) Matrix(17343,23744,-13604,-18625) -> Matrix(25,-32,18,-23) Matrix(47871,65536,12902,17663) -> Matrix(61,-80,106,-139) Matrix(47873,65536,12904,17665) -> Matrix(59,-80,104,-141) Matrix(9921,13568,5476,7489) -> Matrix(19,-28,36,-53) Matrix(12543,17152,6926,9471) -> Matrix(21,-32,44,-67) Matrix(1217,1664,422,577) -> Matrix(5,-8,12,-19) Matrix(703,960,-610,-833) -> Matrix(9,-14,2,-3) Matrix(3007,4096,798,1087) -> Matrix(27,-52,40,-77) Matrix(3009,4096,800,1089) -> Matrix(25,-52,38,-79) Matrix(897,1216,284,385) -> Matrix(1,-4,2,-7) Matrix(48383,65536,12662,17151) -> Matrix(7,-12,10,-17) Matrix(48385,65536,12664,17153) -> Matrix(5,-12,8,-19) Matrix(7041,9536,2458,3329) -> Matrix(3,-8,8,-21) Matrix(2561,3456,-2086,-2815) -> Matrix(1,-8,0,1) Matrix(191,256,-144,-193) -> Matrix(1,-2,0,1) Matrix(6271,8256,-4862,-6401) -> Matrix(3,-2,2,-1) Matrix(1025,1344,196,257) -> Matrix(5,4,6,5) Matrix(831,1088,-734,-961) -> Matrix(3,2,-2,-1) Matrix(3135,4096,734,959) -> Matrix(1,0,16,1) Matrix(3137,4096,736,961) -> Matrix(1,0,-14,1) Matrix(641,832,198,257) -> Matrix(1,0,0,1) Matrix(12543,16256,5530,7167) -> Matrix(1,0,-2,1) Matrix(9089,11776,5632,7297) -> Matrix(1,0,2,1) Matrix(1087,1408,938,1215) -> Matrix(5,-2,8,-3) Matrix(12671,16384,2870,3711) -> Matrix(3,-2,8,-5) Matrix(12673,16384,2872,3713) -> Matrix(3,-2,8,-5) Matrix(2879,3712,1538,1983) -> Matrix(1,-2,2,-3) Matrix(3777,4864,1442,1857) -> Matrix(1,0,2,1) Matrix(449,576,350,449) -> Matrix(3,-2,2,-1) Matrix(1151,1472,900,1151) -> Matrix(11,-12,12,-13) Matrix(3711,4736,-3110,-3969) -> Matrix(3,-4,4,-5) Matrix(1857,2368,854,1089) -> Matrix(3,-4,4,-5) Matrix(3969,5056,1508,1921) -> Matrix(1,-2,4,-7) Matrix(705,896,454,577) -> Matrix(1,0,0,1) Matrix(961,1216,456,577) -> Matrix(1,-2,4,-7) Matrix(7487,9472,4198,5311) -> Matrix(1,-2,8,-15) Matrix(2431,3072,1316,1663) -> Matrix(1,-2,4,-7) Matrix(9599,12096,7008,8831) -> Matrix(5,-6,6,-7) Matrix(49985,62976,18034,22721) -> Matrix(3,-4,4,-5) Matrix(39423,49664,14224,17919) -> Matrix(1,-2,4,-7) Matrix(1343,1664,774,959) -> Matrix(1,-2,0,1) Matrix(1087,1344,258,319) -> Matrix(1,-4,0,1) Matrix(831,1024,-676,-833) -> Matrix(1,-14,0,1) Matrix(16831,20672,11932,14655) -> Matrix(3,20,4,27) Matrix(575,704,156,191) -> Matrix(1,0,2,1) Matrix(577,704,368,449) -> Matrix(1,2,0,1) Matrix(7679,9344,4838,5887) -> Matrix(1,0,2,1) Matrix(1473,1792,1316,1601) -> Matrix(1,0,2,1) Matrix(3263,3968,2578,3135) -> Matrix(3,2,4,3) Matrix(897,1088,634,769) -> Matrix(1,2,0,1) Matrix(3391,4096,582,703) -> Matrix(1,0,12,1) Matrix(3393,4096,584,705) -> Matrix(1,0,-10,1) Matrix(3007,3584,912,1087) -> Matrix(1,0,0,1) Matrix(2689,3200,1184,1409) -> Matrix(1,0,-2,1) Matrix(2047,2432,1292,1535) -> Matrix(3,-2,2,-1) Matrix(1025,1216,864,1025) -> Matrix(5,-4,4,-3) Matrix(703,832,594,703) -> Matrix(5,-6,6,-7) Matrix(705,832,272,321) -> Matrix(1,-2,2,-3) Matrix(383,448,218,255) -> Matrix(1,-2,0,1) Matrix(1215,1408,938,1087) -> Matrix(1,-2,0,1) Matrix(1217,1408,720,833) -> Matrix(3,-8,2,-5) Matrix(1281,1472,892,1025) -> Matrix(1,-6,2,-11) Matrix(959,1088,394,447) -> Matrix(1,4,2,9) Matrix(1601,1792,1316,1473) -> Matrix(1,0,2,1) Matrix(1089,1216,746,833) -> Matrix(1,-2,2,-3) Matrix(577,640,174,193) -> Matrix(1,0,0,1) Matrix(641,704,234,257) -> Matrix(1,-2,4,-7) Matrix(1,0,2,1) -> Matrix(1,0,2,1) Matrix(511,-576,228,-257) -> Matrix(1,0,-2,1) Matrix(833,-960,610,-703) -> Matrix(25,-14,34,-19) Matrix(1471,-1728,1036,-1217) -> Matrix(3,-2,-4,3) Matrix(2305,-2752,428,-511) -> Matrix(7,-6,6,-5) Matrix(1535,-1856,636,-769) -> Matrix(1,0,-2,1) Matrix(895,-1088,422,-513) -> Matrix(1,0,0,1) Matrix(833,-1024,676,-831) -> Matrix(29,-14,56,-27) Matrix(1919,-2368,312,-385) -> Matrix(15,-8,32,-17) Matrix(3007,-3712,1608,-1985) -> Matrix(11,-6,24,-13) Matrix(1471,-1856,1066,-1345) -> Matrix(1,0,0,1) Matrix(4353,-5504,1214,-1535) -> Matrix(19,-14,34,-25) Matrix(959,-1216,556,-705) -> Matrix(5,-4,4,-3) Matrix(8385,-10688,3062,-3903) -> Matrix(5,-4,24,-19) Matrix(1153,-1472,300,-383) -> Matrix(3,-2,2,-1) Matrix(1537,-1984,1090,-1407) -> Matrix(1,-2,2,-3) Matrix(1535,-1984,694,-897) -> Matrix(1,-2,2,-3) Matrix(14273,-18496,10420,-13503) -> Matrix(3,-4,4,-5) Matrix(639,-832,394,-513) -> Matrix(1,0,2,1) Matrix(1857,-2432,830,-1087) -> Matrix(7,-2,4,-1) Matrix(1217,-1600,340,-447) -> Matrix(13,-6,24,-11) Matrix(1089,-1472,236,-319) -> Matrix(5,-2,8,-3) Matrix(3073,-4160,2174,-2943) -> Matrix(17,-10,12,-7) Matrix(895,-1216,566,-769) -> Matrix(3,-2,8,-5) Matrix(3135,-4288,1732,-2369) -> Matrix(13,-10,30,-23) Matrix(4863,-6656,1310,-1793) -> Matrix(11,-8,18,-13) Matrix(21503,-29440,7854,-10753) -> Matrix(5,-4,14,-11) Matrix(5889,-8128,2596,-3583) -> Matrix(3,-2,-4,3) Matrix(1343,-1856,788,-1089) -> Matrix(3,-2,-4,3) Matrix(3969,-5504,830,-1151) -> Matrix(17,-14,28,-23) Matrix(1153,-1600,276,-383) -> Matrix(7,-6,6,-5) Matrix(3265,-4608,2312,-3263) -> Matrix(11,-10,10,-9) Matrix(11009,-15552,3080,-4351) -> Matrix(29,-36,54,-67) Matrix(16257,-22976,4256,-6015) -> Matrix(5,-6,6,-7) Matrix(449,-640,134,-191) -> Matrix(1,0,0,1) Matrix(1919,-2752,804,-1153) -> Matrix(1,0,0,1) Matrix(4993,-7168,2050,-2943) -> Matrix(1,0,0,1) Matrix(577,-832,310,-447) -> Matrix(1,0,0,1) Matrix(705,-1024,484,-703) -> Matrix(5,-2,8,-3) Matrix(6273,-9152,1754,-2559) -> Matrix(9,-4,16,-7) Matrix(4289,-6592,2706,-4159) -> Matrix(1,0,0,1) Matrix(2689,-4160,744,-1151) -> Matrix(17,-14,28,-23) Matrix(575,-896,206,-321) -> Matrix(1,0,2,1) Matrix(2495,-3904,1514,-2369) -> Matrix(1,-2,2,-3) Matrix(1665,-2624,974,-1535) -> Matrix(1,0,2,1) Matrix(1985,-3136,526,-831) -> Matrix(7,2,10,3) Matrix(5567,-8832,2058,-3265) -> Matrix(1,0,4,1) Matrix(321,-512,200,-319) -> Matrix(1,0,2,1) Matrix(5249,-8448,2942,-4735) -> Matrix(1,0,4,1) Matrix(10177,-16384,3776,-6079) -> Matrix(1,0,0,1) Matrix(11009,-17728,2384,-3839) -> Matrix(9,-4,16,-7) Matrix(5951,-9600,2262,-3649) -> Matrix(1,0,2,1) Matrix(2177,-3520,1266,-2047) -> Matrix(1,0,0,1) Matrix(1857,-3008,434,-703) -> Matrix(1,0,4,1) Matrix(703,-1152,274,-449) -> Matrix(1,0,0,1) Matrix(4929,-8128,2134,-3519) -> Matrix(3,-2,14,-9) Matrix(3071,-5184,1138,-1921) -> Matrix(3,-4,10,-13) Matrix(4225,-7168,1282,-2175) -> Matrix(1,0,0,1) Matrix(1279,-2176,452,-769) -> Matrix(1,-4,2,-7) Matrix(1087,-1856,188,-321) -> Matrix(1,0,-2,1) Matrix(4863,-8320,1048,-1793) -> Matrix(1,-4,2,-7) Matrix(29761,-51136,11360,-19519) -> Matrix(1,0,2,1) Matrix(1599,-2752,484,-833) -> Matrix(1,0,0,1) Matrix(961,-1664,406,-703) -> Matrix(1,0,2,1) Matrix(7041,-12416,2540,-4479) -> Matrix(1,0,4,1) Matrix(577,-1024,324,-575) -> Matrix(1,0,10,1) Matrix(5631,-10048,2296,-4097) -> Matrix(23,-4,52,-9) Matrix(1217,-2176,250,-447) -> Matrix(9,-2,14,-3) Matrix(319,-576,36,-65) -> Matrix(1,0,-2,1) Matrix(6911,-12544,1552,-2817) -> Matrix(1,-2,2,-3) Matrix(16639,-30208,7474,-13569) -> Matrix(1,0,6,1) Matrix(1087,-1984,246,-449) -> Matrix(3,-2,8,-5) Matrix(575,-1088,102,-193) -> Matrix(1,0,0,1) Matrix(385,-832,118,-255) -> Matrix(1,0,0,1) Matrix(1535,-3392,348,-769) -> Matrix(3,-2,8,-5) Matrix(10175,-22656,2846,-6337) -> Matrix(25,-6,46,-11) Matrix(1919,-4288,516,-1153) -> Matrix(7,-10,12,-17) Matrix(12673,-28736,4572,-10367) -> Matrix(1,0,2,1) Matrix(449,-1024,196,-447) -> Matrix(1,0,10,1) Matrix(3457,-7936,1282,-2943) -> Matrix(1,0,-4,1) Matrix(2689,-6208,554,-1279) -> Matrix(13,-2,20,-3) Matrix(511,-1216,108,-257) -> Matrix(9,-4,16,-7) Matrix(1473,-3520,562,-1343) -> Matrix(1,0,0,1) Matrix(1089,-2624,398,-959) -> Matrix(1,0,2,1) Matrix(1087,-2624,186,-449) -> Matrix(1,0,2,1) Matrix(767,-1856,212,-513) -> Matrix(9,-2,14,-3) Matrix(10049,-24640,2166,-5311) -> Matrix(55,-24,94,-41) Matrix(1535,-3904,554,-1409) -> Matrix(3,-2,8,-5) Matrix(319,-832,74,-193) -> Matrix(1,0,2,1) Matrix(193,-512,72,-191) -> Matrix(1,0,2,1) Matrix(1473,-3968,356,-959) -> Matrix(1,0,-2,1) Matrix(8897,-24000,3250,-8767) -> Matrix(1,0,0,1) Matrix(2433,-6592,850,-2303) -> Matrix(1,0,0,1) Matrix(447,-1216,118,-321) -> Matrix(1,-2,2,-3) Matrix(321,-1024,100,-319) -> Matrix(3,-2,2,-1) Matrix(1153,-3712,278,-895) -> Matrix(1,0,0,1) Matrix(3583,-11712,666,-2177) -> Matrix(9,-8,8,-7) Matrix(511,-1728,76,-257) -> Matrix(9,-2,14,-3) Matrix(1217,-4160,318,-1087) -> Matrix(23,-10,30,-13) Matrix(1663,-5696,374,-1281) -> Matrix(17,-8,32,-15) Matrix(577,-1984,130,-447) -> Matrix(3,-2,8,-5) Matrix(4543,-16256,984,-3521) -> Matrix(3,-2,8,-5) Matrix(511,-1856,106,-385) -> Matrix(1,0,0,1) Matrix(4993,-18496,1140,-4223) -> Matrix(7,-4,16,-9) Matrix(6401,-23744,1380,-5119) -> Matrix(57,-32,98,-55) Matrix(257,-960,34,-127) -> Matrix(23,-14,28,-17) Matrix(895,-3456,166,-641) -> Matrix(9,-8,8,-7) Matrix(65,-256,16,-63) -> Matrix(3,-2,2,-1) Matrix(1985,-8256,446,-1855) -> Matrix(5,-2,8,-3) Matrix(257,-1088,30,-127) -> Matrix(1,2,0,1) Matrix(1025,-4736,166,-767) -> Matrix(7,-4,16,-9) Matrix(193,-1024,36,-191) -> Matrix(15,-14,14,-13) 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): 129 Degree of the the map X: 129 Degree of the the map Y: 512 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 1536 Minimal number of generators: 257 Number of equivalence classes of elliptic points of order 2: 0 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 72 Genus: 93 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES 0/1 8/7 16/13 4/3 24/17 16/11 48/31 8/5 12/7 16/9 2/1 32/15 24/11 256/115 16/7 64/27 12/5 32/13 28/11 64/25 448/171 192/73 8/3 256/95 192/71 64/23 48/17 3/1 16/5 96/29 64/19 24/7 32/9 18/5 256/69 160/43 64/17 256/67 4/1 64/15 30/7 128/29 32/7 14/3 24/5 160/33 5/1 21/4 16/3 28/5 29/5 64/11 6/1 31/5 25/4 44/7 32/5 13/2 20/3 27/4 7/1 22/3 15/2 23/3 8/1 17/2 26/3 9/1 19/2 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES 0/1 0/1 1/1 1/2 11/10 1/1 10/9 0/1 19/17 1/2 9/8 1/3 17/15 5/12 8/7 1/2 15/13 7/12 22/19 2/3 7/6 1/1 20/17 1/1 13/11 3/4 32/27 1/1 19/16 1/1 44/37 1/0 25/21 1/2 31/26 1/1 6/5 0/1 23/19 1/4 17/14 1/3 45/37 1/2 73/60 1/1 28/23 1/3 11/9 1/2 27/22 5/11 16/13 1/2 37/30 9/17 58/47 8/15 21/17 1/2 26/21 4/7 5/4 3/5 24/19 2/3 43/34 1/1 62/49 2/3 19/15 3/4 14/11 2/3 65/51 3/4 51/40 1/1 37/29 5/6 23/18 1/1 32/25 1/1 9/7 1/0 31/24 1/1 22/17 0/1 57/44 -1/1 92/71 1/1 35/27 1/2 13/10 1/1 17/13 1/6 38/29 0/1 21/16 1/3 4/3 1/2 23/17 1/2 42/31 2/3 19/14 3/5 15/11 7/10 56/41 3/4 41/30 1/1 67/49 3/4 26/19 4/5 115/84 9/11 89/65 5/6 63/46 1/1 163/119 5/6 100/73 1/1 37/27 5/6 11/8 1/1 40/29 2/3 69/50 3/5 29/21 1/2 18/13 4/5 61/44 1/1 43/31 5/6 25/18 1/1 32/23 1/1 7/5 1/0 31/22 1/1 55/39 1/2 134/95 2/3 79/56 1/1 24/17 1/1 113/80 1/1 89/63 5/4 65/46 1/1 171/121 5/4 106/75 4/3 41/29 3/2 17/12 1/1 44/31 -1/1 71/50 -1/1 27/19 -1/2 10/7 0/1 33/23 1/2 56/39 1/2 23/16 1/1 36/25 1/1 13/9 1/2 29/20 1/3 16/11 1/2 35/24 1/1 54/37 2/3 19/13 1/2 22/15 2/3 3/2 1/1 23/15 3/2 43/28 1/1 20/13 1/0 17/11 1/2 48/31 1/1 31/20 1/1 14/9 2/1 25/16 1/1 61/39 1/0 36/23 1/1 11/7 1/0 41/26 -1/1 30/19 0/1 49/31 1/6 19/12 1/1 84/53 1/0 149/94 1/1 65/41 1/0 46/29 0/1 73/46 1/3 100/63 1/1 27/17 1/0 8/5 0/1 37/23 1/2 66/41 0/1 95/59 1/2 29/18 1/3 79/49 3/4 129/80 1/1 50/31 0/1 71/44 1/5 92/57 1/3 21/13 1/2 55/34 -1/1 34/21 0/1 47/29 1/8 13/8 1/3 44/27 1/2 31/19 1/2 80/49 1/2 129/79 1/2 49/30 5/9 116/71 3/5 67/41 1/2 18/11 2/3 23/14 1/1 28/17 1/1 61/37 1/2 33/20 1/1 5/3 1/2 32/19 1/1 27/16 1/1 76/45 3/2 49/29 5/4 22/13 2/1 61/36 1/1 39/23 1/0 56/33 1/1 17/10 3/1 63/37 1/0 46/27 -2/1 29/17 -1/2 41/24 1/1 53/31 1/2 65/38 1/1 12/7 1/1 67/39 1/0 122/71 0/1 55/32 -1/1 43/25 1/2 31/18 1/1 50/29 2/1 19/11 1/0 26/15 2/1 59/34 1/1 33/19 1/0 7/4 -1/1 37/21 1/0 67/38 -1/1 30/17 0/1 23/13 -1/2 16/9 0/1 41/23 1/8 107/60 1/7 66/37 0/1 91/51 1/6 25/14 1/5 84/47 1/3 59/33 1/6 34/19 0/1 9/5 1/2 38/21 2/5 67/37 1/2 96/53 1/2 29/16 3/5 49/27 1/0 118/65 0/1 69/38 1/5 20/11 1/2 31/17 1/2 11/6 1/1 24/13 0/1 61/33 1/2 37/20 1/3 13/7 1/2 28/15 1/1 43/23 1/2 58/31 2/3 15/8 1/1 32/17 1/1 17/9 1/0 2/1 0/1 19/9 1/2 17/8 1/3 32/15 1/2 15/7 1/2 13/6 1/1 37/17 1/0 61/28 1/1 24/11 0/1 11/5 1/2 42/19 2/3 31/14 1/1 20/9 1/1 69/31 -1/2 256/115 0/1 187/84 1/11 118/53 0/1 49/22 1/3 29/13 3/4 38/17 2/1 47/21 5/2 9/4 1/1 34/15 0/1 127/56 -1/1 93/41 -1/2 59/26 -1/3 84/37 1/0 25/11 -1/2 16/7 0/1 39/17 1/8 62/27 0/1 85/37 1/6 23/10 1/5 30/13 0/1 97/42 1/5 67/29 1/4 37/16 1/3 7/3 1/4 33/14 1/3 59/25 1/2 26/11 2/5 45/19 1/2 64/27 0/1 2/5 19/8 1/3 31/13 1/2 74/31 0/1 117/49 1/2 160/67 1/2 43/18 1/1 12/5 1/2 41/17 1/2 70/29 0/1 29/12 1/5 17/7 3/8 56/23 1/2 95/39 1/2 39/16 1/3 61/25 1/2 22/9 2/5 49/20 5/11 76/31 3/7 103/42 3/7 27/11 1/2 32/13 1/2 5/2 1/1 33/13 1/2 28/11 1/2 23/9 1/2 64/25 0/1 2/3 41/16 1/1 18/7 2/3 67/26 1/1 116/45 3/4 49/19 5/6 129/50 1/1 80/31 1/1 31/12 1/1 44/17 1/1 13/5 1/0 34/13 0/1 55/21 1/4 186/71 0/1 317/121 1/2 448/171 0/1 131/50 1/3 76/29 1/2 21/8 1/1 92/35 1/0 71/27 -1/2 192/73 0/1 121/46 1/7 50/19 0/1 129/49 1/2 79/30 3/5 29/11 1/0 8/3 0/1 35/13 1/2 97/36 1/3 256/95 0/1 2/5 159/59 1/2 62/23 0/1 89/33 1/4 116/43 1/4 27/10 1/3 100/37 1/2 73/27 1/0 192/71 0/1 119/44 1/7 46/17 0/1 65/24 1/3 84/31 1/3 19/7 1/2 30/11 0/1 41/15 1/4 52/19 1/4 167/61 1/4 115/42 1/5 63/23 1/4 11/4 1/3 36/13 1/2 97/35 1/2 352/127 1/2 255/92 1/1 158/57 0/1 61/22 1/3 25/9 1/2 64/23 0/1 2/5 39/14 1/3 14/5 2/5 31/11 1/2 48/17 1/2 65/23 1/2 17/6 1/1 20/7 1/3 63/22 1/3 43/15 1/2 23/8 3/7 3/1 1/2 22/7 2/3 19/6 1/1 16/5 1/1 45/14 1/1 74/23 0/1 29/9 1/0 13/4 1/1 49/15 1/2 85/26 1/1 36/11 1/2 23/7 1/2 56/17 1/1 89/27 1/0 33/10 1/1 43/13 1/2 96/29 1/1 53/16 1/1 10/3 0/1 37/11 -1/2 64/19 0/1 27/8 1/5 44/13 1/4 17/5 1/2 41/12 3/7 65/19 1/2 89/26 5/11 24/7 1/2 31/9 1/2 7/2 1/3 32/9 1/2 25/7 1/2 143/40 7/13 118/33 6/11 93/26 5/9 68/19 1/2 43/12 5/9 104/29 4/7 61/17 1/2 18/5 4/7 65/18 3/5 112/31 3/5 47/13 11/18 29/8 1/1 40/11 2/3 11/3 1/2 37/10 5/9 100/27 1/2 63/17 1/2 89/24 5/9 115/31 9/16 256/69 4/7 141/38 11/19 26/7 4/7 93/25 19/32 160/43 3/5 67/18 3/5 41/11 1/2 15/4 7/11 64/17 2/3 49/13 19/28 34/9 2/3 19/5 3/4 42/11 2/3 149/39 1/2 256/67 2/3 107/28 5/7 65/17 3/4 23/6 1/1 27/7 3/4 31/8 1/1 4/1 1/1 33/8 1/1 29/7 1/0 54/13 0/1 25/6 1/1 21/5 1/0 38/9 0/1 17/4 -1/3 64/15 0/1 47/11 1/12 30/7 0/1 13/3 1/2 35/8 1/1 127/29 1/2 92/21 1/2 57/13 1/4 22/5 0/1 75/17 1/2 128/29 0/1 2/5 53/12 1/3 31/7 1/2 40/9 1/2 89/20 3/5 138/31 2/3 49/11 1/2 58/13 0/1 9/2 1/3 32/7 1/2 23/5 1/2 60/13 1/2 157/34 3/5 97/21 1/2 37/8 5/9 51/11 1/2 167/36 3/5 116/25 3/5 65/14 3/5 14/3 2/3 33/7 1/2 19/4 3/5 62/13 2/3 43/9 1/2 67/14 3/5 24/5 2/3 29/6 1/1 63/13 1/2 160/33 3/5 97/20 3/5 34/7 2/3 5/1 3/4 26/5 4/5 21/4 1/1 16/3 1/1 43/8 1/1 113/21 7/6 70/13 6/5 97/18 1/1 27/5 5/4 11/2 1/1 28/5 1/0 73/13 1/2 45/8 1/1 62/11 0/1 17/3 1/0 23/4 -1/1 29/5 -1/4 64/11 0/1 35/6 1/7 6/1 0/1 37/6 1/1 31/5 1/2 25/4 1/1 44/7 1/3 19/3 1/2 32/5 1/2 13/2 3/5 20/3 1/2 27/4 1/1 7/1 1/2 22/3 2/3 15/2 7/9 23/3 5/6 8/1 1/1 17/2 5/3 26/3 2/1 9/1 1/0 19/2 1/1 10/1 0/1 11/1 1/2 1/0 1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,1,1) (0/1,1/0) -> (0/1,1/1) Parabolic Matrix(703,-768,411,-449) (1/1,11/10) -> (53/31,65/38) Hyperbolic Matrix(1793,-1984,751,-831) (11/10,10/9) -> (74/31,117/49) Hyperbolic Matrix(1663,-1856,517,-577) (10/9,19/17) -> (45/14,74/23) Hyperbolic Matrix(1601,-1792,285,-319) (19/17,9/8) -> (73/13,45/8) Hyperbolic Matrix(511,-576,228,-257) (9/8,17/15) -> (47/21,9/4) Hyperbolic Matrix(959,-1088,565,-641) (17/15,8/7) -> (56/33,17/10) Hyperbolic Matrix(833,-960,610,-703) (8/7,15/13) -> (15/11,56/41) Hyperbolic Matrix(1217,-1408,497,-575) (15/13,22/19) -> (22/9,49/20) Hyperbolic Matrix(1215,-1408,277,-321) (22/19,7/6) -> (57/13,22/5) Hyperbolic Matrix(1471,-1728,1036,-1217) (7/6,20/17) -> (44/31,71/50) Hyperbolic Matrix(705,-832,433,-511) (20/17,13/11) -> (13/8,44/27) Hyperbolic Matrix(703,-832,109,-129) (13/11,32/27) -> (32/5,13/2) Hyperbolic Matrix(1025,-1216,161,-191) (32/27,19/16) -> (19/3,32/5) Hyperbolic Matrix(2047,-2432,755,-897) (19/16,44/37) -> (84/31,19/7) Hyperbolic Matrix(2689,-3200,1505,-1791) (44/37,25/21) -> (25/14,84/47) Hyperbolic Matrix(3009,-3584,1235,-1471) (25/21,31/26) -> (95/39,39/16) Hyperbolic Matrix(2305,-2752,428,-511) (31/26,6/5) -> (70/13,97/18) Hyperbolic Matrix(1535,-1856,636,-769) (6/5,23/19) -> (41/17,70/29) Hyperbolic Matrix(897,-1088,263,-319) (23/19,17/14) -> (17/5,41/12) Hyperbolic Matrix(895,-1088,422,-513) (17/14,45/37) -> (19/9,17/8) Hyperbolic Matrix(1473,-1792,157,-191) (45/37,73/60) -> (9/1,19/2) Hyperbolic Matrix(7679,-9344,2841,-3457) (73/60,28/23) -> (100/37,73/27) Hyperbolic Matrix(577,-704,209,-255) (28/23,11/9) -> (11/4,36/13) Hyperbolic Matrix(575,-704,419,-513) (11/9,27/22) -> (37/27,11/8) Hyperbolic Matrix(833,-1024,676,-831) (27/22,16/13) -> (16/13,37/30) Parabolic Matrix(1919,-2368,312,-385) (37/30,58/47) -> (6/1,37/6) Hyperbolic Matrix(3007,-3712,1608,-1985) (58/47,21/17) -> (43/23,58/31) Hyperbolic Matrix(1087,-1344,829,-1025) (21/17,26/21) -> (38/29,21/16) Hyperbolic Matrix(1343,-1664,569,-705) (26/21,5/4) -> (59/25,26/11) Hyperbolic Matrix(1471,-1856,1066,-1345) (5/4,24/19) -> (40/29,69/50) Hyperbolic Matrix(4353,-5504,1214,-1535) (24/19,43/34) -> (43/12,104/29) Hyperbolic Matrix(6273,-7936,2731,-3455) (43/34,62/49) -> (62/27,85/37) Hyperbolic Matrix(3135,-3968,557,-705) (62/49,19/15) -> (45/8,62/11) Hyperbolic Matrix(959,-1216,556,-705) (19/15,14/11) -> (50/29,19/11) Hyperbolic Matrix(3969,-5056,2461,-3135) (14/11,65/51) -> (129/80,50/31) Hyperbolic Matrix(8385,-10688,3062,-3903) (65/51,51/40) -> (115/42,63/23) Hyperbolic Matrix(1857,-2368,1003,-1279) (51/40,37/29) -> (37/20,13/7) Hyperbolic Matrix(1153,-1472,300,-383) (37/29,23/18) -> (23/6,27/7) Hyperbolic Matrix(1151,-1472,251,-321) (23/18,32/25) -> (32/7,23/5) Hyperbolic Matrix(449,-576,99,-127) (32/25,9/7) -> (9/2,32/7) Hyperbolic Matrix(1537,-1984,1090,-1407) (9/7,31/24) -> (31/22,55/39) Hyperbolic Matrix(1535,-1984,694,-897) (31/24,22/17) -> (42/19,31/14) Hyperbolic Matrix(1087,-1408,149,-193) (22/17,57/44) -> (7/1,22/3) Hyperbolic Matrix(9089,-11776,3457,-4479) (57/44,92/71) -> (92/35,71/27) Hyperbolic Matrix(14273,-18496,10420,-13503) (92/71,35/27) -> (163/119,100/73) Hyperbolic Matrix(641,-832,443,-575) (35/27,13/10) -> (13/9,29/20) Hyperbolic Matrix(639,-832,394,-513) (13/10,17/13) -> (47/29,13/8) Hyperbolic Matrix(1857,-2432,830,-1087) (17/13,38/29) -> (38/17,47/21) Hyperbolic Matrix(1217,-1600,340,-447) (21/16,4/3) -> (68/19,43/12) Hyperbolic Matrix(1089,-1472,236,-319) (4/3,23/17) -> (23/5,60/13) Hyperbolic Matrix(3073,-4160,2174,-2943) (23/17,42/31) -> (106/75,41/29) Hyperbolic Matrix(897,-1216,613,-831) (42/31,19/14) -> (19/13,22/15) Hyperbolic Matrix(895,-1216,566,-769) (19/14,15/11) -> (49/31,19/12) Hyperbolic Matrix(2623,-3584,797,-1089) (56/41,41/30) -> (23/7,56/17) Hyperbolic Matrix(1217,-1664,795,-1087) (41/30,67/49) -> (3/2,23/15) Hyperbolic Matrix(3135,-4288,1732,-2369) (67/49,26/19) -> (38/21,67/37) Hyperbolic Matrix(4863,-6656,1310,-1793) (26/19,115/84) -> (141/38,26/7) Hyperbolic Matrix(21503,-29440,7854,-10753) (115/84,89/65) -> (167/61,115/42) Hyperbolic Matrix(8319,-11392,2431,-3329) (89/65,63/46) -> (65/19,89/26) Hyperbolic Matrix(8831,-12096,1823,-2497) (63/46,163/119) -> (29/6,63/13) Hyperbolic Matrix(4671,-6400,1729,-2369) (100/73,37/27) -> (27/10,100/37) Hyperbolic Matrix(511,-704,233,-321) (11/8,40/29) -> (24/11,11/5) Hyperbolic Matrix(5889,-8128,2596,-3583) (69/50,29/21) -> (93/41,59/26) Hyperbolic Matrix(1343,-1856,788,-1089) (29/21,18/13) -> (46/27,29/17) Hyperbolic Matrix(1663,-2304,1017,-1409) (18/13,61/44) -> (67/41,18/11) Hyperbolic Matrix(3969,-5504,830,-1151) (61/44,43/31) -> (43/9,67/14) Hyperbolic Matrix(1153,-1600,276,-383) (43/31,25/18) -> (25/6,21/5) Hyperbolic Matrix(1151,-1600,323,-449) (25/18,32/23) -> (32/9,25/7) Hyperbolic Matrix(321,-448,91,-127) (32/23,7/5) -> (7/2,32/9) Hyperbolic Matrix(319,-448,183,-257) (7/5,31/22) -> (33/19,7/4) Hyperbolic Matrix(9983,-14080,5809,-8193) (55/39,134/95) -> (122/71,55/32) Hyperbolic Matrix(14655,-20672,2723,-3841) (134/95,79/56) -> (113/21,70/13) Hyperbolic Matrix(3265,-4608,2312,-3263) (79/56,24/17) -> (24/17,113/80) Parabolic Matrix(11009,-15552,3080,-4351) (113/80,89/63) -> (25/7,143/40) Hyperbolic Matrix(8063,-11392,2175,-3073) (89/63,65/46) -> (63/17,89/24) Hyperbolic Matrix(14719,-20800,9285,-13121) (65/46,171/121) -> (149/94,65/41) Hyperbolic Matrix(16257,-22976,4256,-6015) (171/121,106/75) -> (42/11,149/39) Hyperbolic Matrix(769,-1088,135,-191) (41/29,17/12) -> (17/3,23/4) Hyperbolic Matrix(767,-1088,497,-705) (17/12,44/31) -> (20/13,17/11) Hyperbolic Matrix(1983,-2816,857,-1217) (71/50,27/19) -> (37/16,7/3) Hyperbolic Matrix(449,-640,134,-191) (27/19,10/7) -> (10/3,37/11) Hyperbolic Matrix(1919,-2752,804,-1153) (10/7,33/23) -> (31/13,74/31) Hyperbolic Matrix(4993,-7168,2050,-2943) (33/23,56/39) -> (56/23,95/39) Hyperbolic Matrix(1025,-1472,133,-191) (56/39,23/16) -> (23/3,8/1) Hyperbolic Matrix(1023,-1472,401,-577) (23/16,36/25) -> (28/11,23/9) Hyperbolic Matrix(577,-832,310,-447) (36/25,13/9) -> (13/7,28/15) Hyperbolic Matrix(705,-1024,484,-703) (29/20,16/11) -> (16/11,35/24) Parabolic Matrix(6273,-9152,1754,-2559) (35/24,54/37) -> (118/33,93/26) Hyperbolic Matrix(833,-1216,87,-127) (54/37,19/13) -> (19/2,10/1) Hyperbolic Matrix(959,-1408,393,-577) (22/15,3/2) -> (61/25,22/9) Hyperbolic Matrix(1919,-2944,835,-1281) (23/15,43/28) -> (85/37,23/10) Hyperbolic Matrix(4289,-6592,2706,-4159) (43/28,20/13) -> (84/53,149/94) Hyperbolic Matrix(2689,-4160,744,-1151) (17/11,48/31) -> (112/31,47/13) Hyperbolic Matrix(2561,-3968,1569,-2431) (48/31,31/20) -> (31/19,80/49) Hyperbolic Matrix(577,-896,123,-191) (31/20,14/9) -> (14/3,33/7) Hyperbolic Matrix(575,-896,206,-321) (14/9,25/16) -> (39/14,14/5) Hyperbolic Matrix(2497,-3904,1473,-2303) (25/16,61/39) -> (61/36,39/23) Hyperbolic Matrix(2495,-3904,1514,-2369) (61/39,36/23) -> (28/17,61/37) Hyperbolic Matrix(449,-704,81,-127) (36/23,11/7) -> (11/2,28/5) Hyperbolic Matrix(1665,-2624,974,-1535) (11/7,41/26) -> (41/24,53/31) Hyperbolic Matrix(1217,-1920,689,-1087) (41/26,30/19) -> (30/17,23/13) Hyperbolic Matrix(1985,-3136,526,-831) (30/19,49/31) -> (49/13,34/9) Hyperbolic Matrix(1535,-2432,243,-385) (19/12,84/53) -> (44/7,19/3) Hyperbolic Matrix(2623,-4160,727,-1153) (65/41,46/29) -> (18/5,65/18) Hyperbolic Matrix(5567,-8832,2058,-3265) (46/29,73/46) -> (119/44,46/17) Hyperbolic Matrix(5887,-9344,1049,-1665) (73/46,100/63) -> (28/5,73/13) Hyperbolic Matrix(4031,-6400,1089,-1729) (100/63,27/17) -> (37/10,100/27) Hyperbolic Matrix(321,-512,200,-319) (27/17,8/5) -> (8/5,37/23) Parabolic Matrix(5249,-8448,2942,-4735) (37/23,66/41) -> (66/37,91/51) Hyperbolic Matrix(10177,-16384,3776,-6079) (66/41,95/59) -> (159/59,62/23) Hyperbolic Matrix(11009,-17728,2384,-3839) (95/59,29/18) -> (157/34,97/21) Hyperbolic Matrix(2303,-3712,1033,-1665) (29/18,79/49) -> (49/22,29/13) Hyperbolic Matrix(10241,-16512,6271,-10111) (79/49,129/80) -> (129/79,49/30) Hyperbolic Matrix(5951,-9600,2262,-3649) (50/31,71/44) -> (121/46,50/19) Hyperbolic Matrix(7297,-11776,1665,-2687) (71/44,92/57) -> (92/21,57/13) Hyperbolic Matrix(5313,-8576,1625,-2623) (92/57,21/13) -> (85/26,36/11) Hyperbolic Matrix(2177,-3520,1266,-2047) (21/13,55/34) -> (55/32,43/25) Hyperbolic Matrix(1345,-2176,751,-1215) (55/34,34/21) -> (34/19,9/5) Hyperbolic Matrix(1857,-3008,434,-703) (34/21,47/29) -> (47/11,30/7) Hyperbolic Matrix(1217,-1984,549,-895) (44/27,31/19) -> (31/14,20/9) Hyperbolic Matrix(12033,-19648,3331,-5439) (80/49,129/79) -> (65/18,112/31) Hyperbolic Matrix(5759,-9408,3409,-5569) (49/30,116/71) -> (76/45,49/29) Hyperbolic Matrix(12417,-20288,4739,-7743) (116/71,67/41) -> (131/50,76/29) Hyperbolic Matrix(703,-1152,274,-449) (18/11,23/14) -> (41/16,18/7) Hyperbolic Matrix(895,-1472,273,-449) (23/14,28/17) -> (36/11,23/7) Hyperbolic Matrix(4929,-8128,2134,-3519) (61/37,33/20) -> (97/42,67/29) Hyperbolic Matrix(1279,-2112,737,-1217) (33/20,5/3) -> (59/34,33/19) Hyperbolic Matrix(191,-320,77,-129) (5/3,32/19) -> (32/13,5/2) Hyperbolic Matrix(1025,-1728,417,-703) (32/19,27/16) -> (27/11,32/13) Hyperbolic Matrix(3071,-5184,1138,-1921) (27/16,76/45) -> (116/43,27/10) Hyperbolic Matrix(833,-1408,113,-191) (49/29,22/13) -> (22/3,15/2) Hyperbolic Matrix(831,-1408,265,-449) (22/13,61/36) -> (3/1,22/7) Hyperbolic Matrix(4225,-7168,1282,-2175) (39/23,56/33) -> (56/17,89/27) Hyperbolic Matrix(1279,-2176,452,-769) (17/10,63/37) -> (65/23,17/6) Hyperbolic Matrix(3457,-5888,1277,-2175) (63/37,46/27) -> (46/17,65/24) Hyperbolic Matrix(1087,-1856,188,-321) (29/17,41/24) -> (23/4,29/5) Hyperbolic Matrix(4863,-8320,1048,-1793) (65/38,12/7) -> (116/25,65/14) Hyperbolic Matrix(4993,-8576,1937,-3327) (12/7,67/39) -> (67/26,116/45) Hyperbolic Matrix(29761,-51136,11360,-19519) (67/39,122/71) -> (186/71,317/121) Hyperbolic Matrix(1599,-2752,484,-833) (43/25,31/18) -> (33/10,43/13) Hyperbolic Matrix(1151,-1984,409,-705) (31/18,50/29) -> (14/5,31/11) Hyperbolic Matrix(961,-1664,406,-703) (19/11,26/15) -> (26/11,45/19) Hyperbolic Matrix(959,-1664,185,-321) (26/15,59/34) -> (5/1,26/5) Hyperbolic Matrix(255,-448,37,-65) (7/4,37/21) -> (27/4,7/1) Hyperbolic Matrix(2687,-4736,1453,-2561) (37/21,67/38) -> (61/33,37/20) Hyperbolic Matrix(7041,-12416,2540,-4479) (67/38,30/17) -> (158/57,61/22) Hyperbolic Matrix(577,-1024,324,-575) (23/13,16/9) -> (16/9,41/23) Parabolic Matrix(2369,-4224,825,-1471) (41/23,107/60) -> (43/15,23/8) Hyperbolic Matrix(5311,-9472,1113,-1985) (107/60,66/37) -> (62/13,43/9) Hyperbolic Matrix(5631,-10048,2296,-4097) (91/51,25/14) -> (103/42,27/11) Hyperbolic Matrix(3903,-6976,2149,-3841) (84/47,59/33) -> (69/38,20/11) Hyperbolic Matrix(1217,-2176,250,-447) (59/33,34/19) -> (34/7,5/1) Hyperbolic Matrix(319,-576,36,-65) (9/5,38/21) -> (26/3,9/1) Hyperbolic Matrix(9471,-17152,2545,-4609) (67/37,96/53) -> (160/43,67/18) Hyperbolic Matrix(7489,-13568,2013,-3647) (96/53,29/16) -> (93/25,160/43) Hyperbolic Matrix(2047,-3712,777,-1409) (29/16,49/27) -> (79/30,29/11) Hyperbolic Matrix(6911,-12544,1552,-2817) (49/27,118/65) -> (138/31,49/11) Hyperbolic Matrix(16639,-30208,7474,-13569) (118/65,69/38) -> (187/84,118/53) Hyperbolic Matrix(1089,-1984,421,-767) (20/11,31/17) -> (31/12,44/17) Hyperbolic Matrix(1087,-1984,246,-449) (31/17,11/6) -> (53/12,31/7) Hyperbolic Matrix(383,-704,105,-193) (11/6,24/13) -> (40/11,11/3) Hyperbolic Matrix(1663,-3072,347,-641) (24/13,61/33) -> (67/14,24/5) Hyperbolic Matrix(2431,-4544,925,-1729) (28/15,43/23) -> (21/8,92/35) Hyperbolic Matrix(1983,-3712,445,-833) (58/31,15/8) -> (49/11,58/13) Hyperbolic Matrix(511,-960,239,-449) (15/8,32/17) -> (32/15,15/7) Hyperbolic Matrix(577,-1088,271,-511) (32/17,17/9) -> (17/8,32/15) Hyperbolic Matrix(575,-1088,102,-193) (17/9,2/1) -> (62/11,17/3) Hyperbolic Matrix(577,-1216,121,-255) (2/1,19/9) -> (19/4,62/13) Hyperbolic Matrix(385,-832,118,-255) (15/7,13/6) -> (13/4,49/15) Hyperbolic Matrix(1089,-2368,235,-511) (13/6,37/17) -> (37/8,51/11) Hyperbolic Matrix(2175,-4736,941,-2049) (37/17,61/28) -> (67/29,37/16) Hyperbolic Matrix(3583,-7808,999,-2177) (61/28,24/11) -> (104/29,61/17) Hyperbolic Matrix(1535,-3392,348,-769) (11/5,42/19) -> (22/5,75/17) Hyperbolic Matrix(3135,-6976,1381,-3073) (20/9,69/31) -> (59/26,84/37) Hyperbolic Matrix(29441,-65536,13225,-29439) (69/31,256/115) -> (256/115,187/84) Parabolic Matrix(10175,-22656,2846,-6337) (118/53,49/22) -> (143/40,118/33) Hyperbolic Matrix(1919,-4288,516,-1153) (29/13,38/17) -> (26/7,93/25) Hyperbolic Matrix(961,-2176,367,-831) (9/4,34/15) -> (34/13,55/21) Hyperbolic Matrix(12673,-28736,4572,-10367) (34/15,127/56) -> (255/92,158/57) Hyperbolic Matrix(7167,-16256,1637,-3713) (127/56,93/41) -> (35/8,127/29) Hyperbolic Matrix(1409,-3200,225,-511) (84/37,25/11) -> (25/4,44/7) Hyperbolic Matrix(449,-1024,196,-447) (25/11,16/7) -> (16/7,39/17) Parabolic Matrix(3457,-7936,1282,-2943) (39/17,62/27) -> (62/23,89/33) Hyperbolic Matrix(833,-1920,305,-703) (23/10,30/13) -> (30/11,41/15) Hyperbolic Matrix(2689,-6208,554,-1279) (30/13,97/42) -> (97/20,34/7) Hyperbolic Matrix(191,-448,55,-129) (7/3,33/14) -> (31/9,7/2) Hyperbolic Matrix(895,-2112,353,-833) (33/14,59/25) -> (5/2,33/13) Hyperbolic Matrix(1729,-4096,729,-1727) (45/19,64/27) -> (64/27,19/8) Parabolic Matrix(511,-1216,108,-257) (19/8,31/13) -> (33/7,19/4) Hyperbolic Matrix(8255,-19712,2493,-5953) (117/49,160/67) -> (96/29,53/16) Hyperbolic Matrix(4609,-11008,1393,-3327) (160/67,43/18) -> (43/13,96/29) Hyperbolic Matrix(1473,-3520,562,-1343) (43/18,12/5) -> (76/29,21/8) Hyperbolic Matrix(1089,-2624,398,-959) (12/5,41/17) -> (41/15,52/19) Hyperbolic Matrix(1087,-2624,186,-449) (70/29,29/12) -> (35/6,6/1) Hyperbolic Matrix(767,-1856,212,-513) (29/12,17/7) -> (47/13,29/8) Hyperbolic Matrix(447,-1088,53,-129) (17/7,56/23) -> (8/1,17/2) Hyperbolic Matrix(1601,-3904,577,-1407) (39/16,61/25) -> (61/22,25/9) Hyperbolic Matrix(3839,-9408,1489,-3649) (49/20,76/31) -> (116/45,49/19) Hyperbolic Matrix(10049,-24640,2166,-5311) (76/31,103/42) -> (167/36,116/25) Hyperbolic Matrix(1535,-3904,554,-1409) (33/13,28/11) -> (36/13,97/35) Hyperbolic Matrix(1601,-4096,625,-1599) (23/9,64/25) -> (64/25,41/16) Parabolic Matrix(895,-2304,249,-641) (18/7,67/26) -> (61/17,18/5) Hyperbolic Matrix(6401,-16512,2431,-6271) (49/19,129/50) -> (129/49,79/30) Hyperbolic Matrix(4415,-11392,1563,-4033) (129/50,80/31) -> (48/17,65/23) Hyperbolic Matrix(1537,-3968,545,-1407) (80/31,31/12) -> (31/11,48/17) Hyperbolic Matrix(321,-832,49,-127) (44/17,13/5) -> (13/2,20/3) Hyperbolic Matrix(319,-832,74,-193) (13/5,34/13) -> (30/7,13/3) Hyperbolic Matrix(1857,-4864,415,-1087) (55/21,186/71) -> (58/13,9/2) Hyperbolic Matrix(76609,-200704,29241,-76607) (317/121,448/171) -> (448/171,131/50) Parabolic Matrix(14017,-36864,5329,-14015) (71/27,192/73) -> (192/73,121/46) Parabolic Matrix(1921,-5056,413,-1087) (50/19,129/49) -> (65/14,14/3) Hyperbolic Matrix(193,-512,72,-191) (29/11,8/3) -> (8/3,35/13) Parabolic Matrix(1473,-3968,356,-959) (35/13,97/36) -> (33/8,29/7) Hyperbolic Matrix(24321,-65536,9025,-24319) (97/36,256/95) -> (256/95,159/59) Parabolic Matrix(8897,-24000,3250,-8767) (89/33,116/43) -> (52/19,167/61) Hyperbolic Matrix(13633,-36864,5041,-13631) (73/27,192/71) -> (192/71,119/44) Parabolic Matrix(2433,-6592,850,-2303) (65/24,84/31) -> (20/7,63/22) Hyperbolic Matrix(447,-1216,118,-321) (19/7,30/11) -> (34/9,19/5) Hyperbolic Matrix(257,-704,23,-63) (63/23,11/4) -> (11/1,1/0) Hyperbolic Matrix(17919,-49664,3695,-10241) (97/35,352/127) -> (160/33,97/20) Hyperbolic Matrix(22721,-62976,4687,-12991) (352/127,255/92) -> (63/13,160/33) Hyperbolic Matrix(1473,-4096,529,-1471) (25/9,64/23) -> (64/23,39/14) Parabolic Matrix(383,-1088,113,-321) (17/6,20/7) -> (44/13,17/5) Hyperbolic Matrix(3329,-9536,871,-2495) (63/22,43/15) -> (107/28,65/17) Hyperbolic Matrix(577,-1664,155,-447) (23/8,3/1) -> (67/18,41/11) Hyperbolic Matrix(385,-1216,101,-319) (22/7,19/6) -> (19/5,42/11) Hyperbolic Matrix(321,-1024,100,-319) (19/6,16/5) -> (16/5,45/14) Parabolic Matrix(1153,-3712,278,-895) (74/23,29/9) -> (29/7,54/13) Hyperbolic Matrix(257,-832,59,-191) (29/9,13/4) -> (13/3,35/8) Hyperbolic Matrix(3583,-11712,666,-2177) (49/15,85/26) -> (43/8,113/21) Hyperbolic Matrix(1087,-3584,175,-577) (89/27,33/10) -> (31/5,25/4) Hyperbolic Matrix(193,-640,19,-63) (53/16,10/3) -> (10/1,11/1) Hyperbolic Matrix(1217,-4096,361,-1215) (37/11,64/19) -> (64/19,27/8) Parabolic Matrix(511,-1728,76,-257) (27/8,44/13) -> (20/3,27/4) Hyperbolic Matrix(1217,-4160,318,-1087) (41/12,65/19) -> (65/17,23/6) Hyperbolic Matrix(1663,-5696,374,-1281) (89/26,24/7) -> (40/9,89/20) Hyperbolic Matrix(577,-1984,130,-447) (24/7,31/9) -> (31/7,40/9) Hyperbolic Matrix(4543,-16256,984,-3521) (93/26,68/19) -> (60/13,157/34) Hyperbolic Matrix(511,-1856,106,-385) (29/8,40/11) -> (24/5,29/6) Hyperbolic Matrix(191,-704,35,-129) (11/3,37/10) -> (27/5,11/2) Hyperbolic Matrix(4993,-18496,1140,-4223) (100/27,63/17) -> (127/29,92/21) Hyperbolic Matrix(6401,-23744,1380,-5119) (89/24,115/31) -> (51/11,167/36) Hyperbolic Matrix(17665,-65536,4761,-17663) (115/31,256/69) -> (256/69,141/38) Parabolic Matrix(257,-960,34,-127) (41/11,15/4) -> (15/2,23/3) Hyperbolic Matrix(1089,-4096,289,-1087) (15/4,64/17) -> (64/17,49/13) Parabolic Matrix(17153,-65536,4489,-17151) (149/39,256/67) -> (256/67,107/28) Parabolic Matrix(895,-3456,166,-641) (27/7,31/8) -> (97/18,27/5) Hyperbolic Matrix(65,-256,16,-63) (31/8,4/1) -> (4/1,33/8) Parabolic Matrix(1985,-8256,446,-1855) (54/13,25/6) -> (89/20,138/31) Hyperbolic Matrix(319,-1344,61,-257) (21/5,38/9) -> (26/5,21/4) Hyperbolic Matrix(257,-1088,30,-127) (38/9,17/4) -> (17/2,26/3) Hyperbolic Matrix(961,-4096,225,-959) (17/4,64/15) -> (64/15,47/11) Parabolic Matrix(3713,-16384,841,-3711) (75/17,128/29) -> (128/29,53/12) Parabolic Matrix(1025,-4736,166,-767) (97/21,37/8) -> (37/6,31/5) Hyperbolic Matrix(193,-1024,36,-191) (21/4,16/3) -> (16/3,43/8) Parabolic Matrix(705,-4096,121,-703) (29/5,64/11) -> (64/11,35/6) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(1,0,1,1) -> Matrix(1,0,1,1) Matrix(703,-768,411,-449) -> Matrix(3,-2,5,-3) Matrix(1793,-1984,751,-831) -> Matrix(1,0,1,1) Matrix(1663,-1856,517,-577) -> Matrix(1,0,-1,1) Matrix(1601,-1792,285,-319) -> Matrix(1,0,-1,1) Matrix(511,-576,228,-257) -> Matrix(1,0,-2,1) Matrix(959,-1088,565,-641) -> Matrix(9,-4,7,-3) Matrix(833,-960,610,-703) -> Matrix(25,-14,34,-19) Matrix(1217,-1408,497,-575) -> Matrix(13,-8,31,-19) Matrix(1215,-1408,277,-321) -> Matrix(3,-2,11,-7) Matrix(1471,-1728,1036,-1217) -> Matrix(3,-2,-4,3) Matrix(705,-832,433,-511) -> Matrix(3,-2,5,-3) Matrix(703,-832,109,-129) -> Matrix(7,-6,13,-11) Matrix(1025,-1216,161,-191) -> Matrix(3,-4,7,-9) Matrix(2047,-2432,755,-897) -> Matrix(1,-2,3,-5) Matrix(2689,-3200,1505,-1791) -> Matrix(1,0,3,1) Matrix(3009,-3584,1235,-1471) -> Matrix(1,0,1,1) Matrix(2305,-2752,428,-511) -> Matrix(7,-6,6,-5) Matrix(1535,-1856,636,-769) -> Matrix(1,0,-2,1) Matrix(897,-1088,263,-319) -> Matrix(5,-2,13,-5) Matrix(895,-1088,422,-513) -> Matrix(1,0,0,1) Matrix(1473,-1792,157,-191) -> Matrix(1,0,-1,1) Matrix(7679,-9344,2841,-3457) -> Matrix(1,0,-1,1) Matrix(577,-704,209,-255) -> Matrix(5,-2,13,-5) Matrix(575,-704,419,-513) -> Matrix(1,0,-1,1) Matrix(833,-1024,676,-831) -> Matrix(29,-14,56,-27) Matrix(1919,-2368,312,-385) -> Matrix(15,-8,32,-17) Matrix(3007,-3712,1608,-1985) -> Matrix(11,-6,24,-13) Matrix(1087,-1344,829,-1025) -> Matrix(7,-4,23,-13) Matrix(1343,-1664,569,-705) -> Matrix(3,-2,11,-7) Matrix(1471,-1856,1066,-1345) -> Matrix(1,0,0,1) Matrix(4353,-5504,1214,-1535) -> Matrix(19,-14,34,-25) Matrix(6273,-7936,2731,-3455) -> Matrix(3,-2,17,-11) Matrix(3135,-3968,557,-705) -> Matrix(3,-2,-1,1) Matrix(959,-1216,556,-705) -> Matrix(5,-4,4,-3) Matrix(3969,-5056,2461,-3135) -> Matrix(3,-2,-1,1) Matrix(8385,-10688,3062,-3903) -> Matrix(5,-4,24,-19) Matrix(1857,-2368,1003,-1279) -> Matrix(5,-4,9,-7) Matrix(1153,-1472,300,-383) -> Matrix(3,-2,2,-1) Matrix(1151,-1472,251,-321) -> Matrix(13,-12,25,-23) Matrix(449,-576,99,-127) -> Matrix(1,-2,3,-5) Matrix(1537,-1984,1090,-1407) -> Matrix(1,-2,2,-3) Matrix(1535,-1984,694,-897) -> Matrix(1,-2,2,-3) Matrix(1087,-1408,149,-193) -> Matrix(1,2,1,3) Matrix(9089,-11776,3457,-4479) -> Matrix(1,0,-1,1) Matrix(14273,-18496,10420,-13503) -> Matrix(3,-4,4,-5) Matrix(641,-832,443,-575) -> Matrix(1,0,1,1) Matrix(639,-832,394,-513) -> Matrix(1,0,2,1) Matrix(1857,-2432,830,-1087) -> Matrix(7,-2,4,-1) Matrix(1217,-1600,340,-447) -> Matrix(13,-6,24,-11) Matrix(1089,-1472,236,-319) -> Matrix(5,-2,8,-3) Matrix(3073,-4160,2174,-2943) -> Matrix(17,-10,12,-7) Matrix(897,-1216,613,-831) -> Matrix(7,-4,9,-5) Matrix(895,-1216,566,-769) -> Matrix(3,-2,8,-5) Matrix(2623,-3584,797,-1089) -> Matrix(5,-4,9,-7) Matrix(1217,-1664,795,-1087) -> Matrix(11,-8,7,-5) Matrix(3135,-4288,1732,-2369) -> Matrix(13,-10,30,-23) Matrix(4863,-6656,1310,-1793) -> Matrix(11,-8,18,-13) Matrix(21503,-29440,7854,-10753) -> Matrix(5,-4,14,-11) Matrix(8319,-11392,2431,-3329) -> Matrix(1,0,1,1) Matrix(8831,-12096,1823,-2497) -> Matrix(7,-6,13,-11) Matrix(4671,-6400,1729,-2369) -> Matrix(5,-4,9,-7) Matrix(511,-704,233,-321) -> Matrix(3,-2,5,-3) Matrix(5889,-8128,2596,-3583) -> Matrix(3,-2,-4,3) Matrix(1343,-1856,788,-1089) -> Matrix(3,-2,-4,3) Matrix(1663,-2304,1017,-1409) -> Matrix(7,-6,13,-11) Matrix(3969,-5504,830,-1151) -> Matrix(17,-14,28,-23) Matrix(1153,-1600,276,-383) -> Matrix(7,-6,6,-5) Matrix(1151,-1600,323,-449) -> Matrix(17,-16,33,-31) Matrix(321,-448,91,-127) -> Matrix(1,-2,3,-5) Matrix(319,-448,183,-257) -> Matrix(1,0,-1,1) Matrix(9983,-14080,5809,-8193) -> Matrix(3,-2,-1,1) Matrix(14655,-20672,2723,-3841) -> Matrix(27,-20,23,-17) Matrix(3265,-4608,2312,-3263) -> Matrix(11,-10,10,-9) Matrix(11009,-15552,3080,-4351) -> Matrix(29,-36,54,-67) Matrix(8063,-11392,2175,-3073) -> Matrix(1,0,1,1) Matrix(14719,-20800,9285,-13121) -> Matrix(5,-6,1,-1) Matrix(16257,-22976,4256,-6015) -> Matrix(5,-6,6,-7) Matrix(769,-1088,135,-191) -> Matrix(1,-2,1,-1) Matrix(767,-1088,497,-705) -> Matrix(1,0,1,1) Matrix(1983,-2816,857,-1217) -> Matrix(1,0,5,1) Matrix(449,-640,134,-191) -> Matrix(1,0,0,1) Matrix(1919,-2752,804,-1153) -> Matrix(1,0,0,1) Matrix(4993,-7168,2050,-2943) -> Matrix(1,0,0,1) Matrix(1025,-1472,133,-191) -> Matrix(11,-6,13,-7) Matrix(1023,-1472,401,-577) -> Matrix(3,-2,5,-3) Matrix(577,-832,310,-447) -> Matrix(1,0,0,1) Matrix(705,-1024,484,-703) -> Matrix(5,-2,8,-3) Matrix(6273,-9152,1754,-2559) -> Matrix(9,-4,16,-7) Matrix(833,-1216,87,-127) -> Matrix(3,-2,5,-3) Matrix(959,-1408,393,-577) -> Matrix(1,0,1,1) Matrix(1919,-2944,835,-1281) -> Matrix(1,-2,7,-13) Matrix(4289,-6592,2706,-4159) -> Matrix(1,0,0,1) Matrix(2689,-4160,744,-1151) -> Matrix(17,-14,28,-23) Matrix(2561,-3968,1569,-2431) -> Matrix(5,-6,11,-13) Matrix(577,-896,123,-191) -> Matrix(1,0,1,1) Matrix(575,-896,206,-321) -> Matrix(1,0,2,1) Matrix(2497,-3904,1473,-2303) -> Matrix(1,-2,1,-1) Matrix(2495,-3904,1514,-2369) -> Matrix(1,-2,2,-3) Matrix(449,-704,81,-127) -> Matrix(1,-2,1,-1) Matrix(1665,-2624,974,-1535) -> Matrix(1,0,2,1) Matrix(1217,-1920,689,-1087) -> Matrix(1,0,-1,1) Matrix(1985,-3136,526,-831) -> Matrix(7,2,10,3) Matrix(1535,-2432,243,-385) -> Matrix(1,-2,3,-5) Matrix(2623,-4160,727,-1153) -> Matrix(3,4,5,7) Matrix(5567,-8832,2058,-3265) -> Matrix(1,0,4,1) Matrix(5887,-9344,1049,-1665) -> Matrix(1,0,-1,1) Matrix(4031,-6400,1089,-1729) -> Matrix(5,-4,9,-7) Matrix(321,-512,200,-319) -> Matrix(1,0,2,1) Matrix(5249,-8448,2942,-4735) -> Matrix(1,0,4,1) Matrix(10177,-16384,3776,-6079) -> Matrix(1,0,0,1) Matrix(11009,-17728,2384,-3839) -> Matrix(9,-4,16,-7) Matrix(2303,-3712,1033,-1665) -> Matrix(3,-2,5,-3) Matrix(10241,-16512,6271,-10111) -> Matrix(9,-8,17,-15) Matrix(5951,-9600,2262,-3649) -> Matrix(1,0,2,1) Matrix(7297,-11776,1665,-2687) -> Matrix(1,0,-1,1) Matrix(5313,-8576,1625,-2623) -> Matrix(1,0,-1,1) Matrix(2177,-3520,1266,-2047) -> Matrix(1,0,0,1) Matrix(1345,-2176,751,-1215) -> Matrix(1,0,3,1) Matrix(1857,-3008,434,-703) -> Matrix(1,0,4,1) Matrix(1217,-1984,549,-895) -> Matrix(1,0,-1,1) Matrix(12033,-19648,3331,-5439) -> Matrix(89,-46,149,-77) Matrix(5759,-9408,3409,-5569) -> Matrix(1,0,-1,1) Matrix(12417,-20288,4739,-7743) -> Matrix(3,-2,11,-7) Matrix(703,-1152,274,-449) -> Matrix(1,0,0,1) Matrix(895,-1472,273,-449) -> Matrix(3,-2,5,-3) Matrix(4929,-8128,2134,-3519) -> Matrix(3,-2,14,-9) Matrix(1279,-2112,737,-1217) -> Matrix(1,0,-1,1) Matrix(191,-320,77,-129) -> Matrix(3,-2,5,-3) Matrix(1025,-1728,417,-703) -> Matrix(9,-10,19,-21) Matrix(3071,-5184,1138,-1921) -> Matrix(3,-4,10,-13) Matrix(833,-1408,113,-191) -> Matrix(5,-8,7,-11) Matrix(831,-1408,265,-449) -> Matrix(1,0,1,1) Matrix(4225,-7168,1282,-2175) -> Matrix(1,0,0,1) Matrix(1279,-2176,452,-769) -> Matrix(1,-4,2,-7) Matrix(3457,-5888,1277,-2175) -> Matrix(1,2,3,7) Matrix(1087,-1856,188,-321) -> Matrix(1,0,-2,1) Matrix(4863,-8320,1048,-1793) -> Matrix(1,-4,2,-7) Matrix(4993,-8576,1937,-3327) -> Matrix(1,2,1,3) Matrix(29761,-51136,11360,-19519) -> Matrix(1,0,2,1) Matrix(1599,-2752,484,-833) -> Matrix(1,0,0,1) Matrix(1151,-1984,409,-705) -> Matrix(3,-4,7,-9) Matrix(961,-1664,406,-703) -> Matrix(1,0,2,1) Matrix(959,-1664,185,-321) -> Matrix(1,2,1,3) Matrix(255,-448,37,-65) -> Matrix(1,2,1,3) Matrix(2687,-4736,1453,-2561) -> Matrix(1,0,3,1) Matrix(7041,-12416,2540,-4479) -> Matrix(1,0,4,1) Matrix(577,-1024,324,-575) -> Matrix(1,0,10,1) Matrix(2369,-4224,825,-1471) -> Matrix(13,-2,33,-5) Matrix(5311,-9472,1113,-1985) -> Matrix(15,-2,23,-3) Matrix(5631,-10048,2296,-4097) -> Matrix(23,-4,52,-9) Matrix(3903,-6976,2149,-3841) -> Matrix(1,0,-1,1) Matrix(1217,-2176,250,-447) -> Matrix(9,-2,14,-3) Matrix(319,-576,36,-65) -> Matrix(1,0,-2,1) Matrix(9471,-17152,2545,-4609) -> Matrix(67,-32,111,-53) Matrix(7489,-13568,2013,-3647) -> Matrix(53,-28,89,-47) Matrix(2047,-3712,777,-1409) -> Matrix(3,-2,5,-3) Matrix(6911,-12544,1552,-2817) -> Matrix(1,-2,2,-3) Matrix(16639,-30208,7474,-13569) -> Matrix(1,0,6,1) Matrix(1089,-1984,421,-767) -> Matrix(1,0,-1,1) Matrix(1087,-1984,246,-449) -> Matrix(3,-2,8,-5) Matrix(383,-704,105,-193) -> Matrix(3,-2,5,-3) Matrix(1663,-3072,347,-641) -> Matrix(7,-2,11,-3) Matrix(2431,-4544,925,-1729) -> Matrix(1,0,-1,1) Matrix(1983,-3712,445,-833) -> Matrix(3,-2,5,-3) Matrix(511,-960,239,-449) -> Matrix(3,-2,5,-3) Matrix(577,-1088,271,-511) -> Matrix(1,-2,3,-5) Matrix(575,-1088,102,-193) -> Matrix(1,0,0,1) Matrix(577,-1216,121,-255) -> Matrix(7,-2,11,-3) Matrix(385,-832,118,-255) -> Matrix(1,0,0,1) Matrix(1089,-2368,235,-511) -> Matrix(5,-4,9,-7) Matrix(2175,-4736,941,-2049) -> Matrix(1,0,3,1) Matrix(3583,-7808,999,-2177) -> Matrix(5,-4,9,-7) Matrix(1535,-3392,348,-769) -> Matrix(3,-2,8,-5) Matrix(3135,-6976,1381,-3073) -> Matrix(1,0,-1,1) Matrix(29441,-65536,13225,-29439) -> Matrix(1,0,13,1) Matrix(10175,-22656,2846,-6337) -> Matrix(25,-6,46,-11) Matrix(1919,-4288,516,-1153) -> Matrix(7,-10,12,-17) Matrix(961,-2176,367,-831) -> Matrix(1,0,3,1) Matrix(12673,-28736,4572,-10367) -> Matrix(1,0,2,1) Matrix(7167,-16256,1637,-3713) -> Matrix(1,0,3,1) Matrix(1409,-3200,225,-511) -> Matrix(1,0,3,1) Matrix(449,-1024,196,-447) -> Matrix(1,0,10,1) Matrix(3457,-7936,1282,-2943) -> Matrix(1,0,-4,1) Matrix(833,-1920,305,-703) -> Matrix(1,0,-1,1) Matrix(2689,-6208,554,-1279) -> Matrix(13,-2,20,-3) Matrix(191,-448,55,-129) -> Matrix(1,0,-1,1) Matrix(895,-2112,353,-833) -> Matrix(1,0,-1,1) Matrix(1729,-4096,729,-1727) -> Matrix(5,-2,13,-5) Matrix(511,-1216,108,-257) -> Matrix(9,-4,16,-7) Matrix(8255,-19712,2493,-5953) -> Matrix(9,-4,7,-3) Matrix(4609,-11008,1393,-3327) -> Matrix(3,-2,5,-3) Matrix(1473,-3520,562,-1343) -> Matrix(1,0,0,1) Matrix(1089,-2624,398,-959) -> Matrix(1,0,2,1) Matrix(1087,-2624,186,-449) -> Matrix(1,0,2,1) Matrix(767,-1856,212,-513) -> Matrix(9,-2,14,-3) Matrix(447,-1088,53,-129) -> Matrix(9,-4,7,-3) Matrix(1601,-3904,577,-1407) -> Matrix(5,-2,13,-5) Matrix(3839,-9408,1489,-3649) -> Matrix(1,0,-1,1) Matrix(10049,-24640,2166,-5311) -> Matrix(55,-24,94,-41) Matrix(1535,-3904,554,-1409) -> Matrix(3,-2,8,-5) Matrix(1601,-4096,625,-1599) -> Matrix(3,-2,5,-3) Matrix(895,-2304,249,-641) -> Matrix(7,-6,13,-11) Matrix(6401,-16512,2431,-6271) -> Matrix(9,-8,17,-15) Matrix(4415,-11392,1563,-4033) -> Matrix(21,-20,41,-39) Matrix(1537,-3968,545,-1407) -> Matrix(5,-6,11,-13) Matrix(321,-832,49,-127) -> Matrix(3,-2,5,-3) Matrix(319,-832,74,-193) -> Matrix(1,0,2,1) Matrix(1857,-4864,415,-1087) -> Matrix(1,0,-1,1) Matrix(76609,-200704,29241,-76607) -> Matrix(1,0,1,1) Matrix(14017,-36864,5329,-14015) -> Matrix(1,0,9,1) Matrix(1921,-5056,413,-1087) -> Matrix(7,-2,11,-3) Matrix(193,-512,72,-191) -> Matrix(1,0,2,1) Matrix(1473,-3968,356,-959) -> Matrix(1,0,-2,1) Matrix(24321,-65536,9025,-24319) -> Matrix(5,-2,13,-5) Matrix(8897,-24000,3250,-8767) -> Matrix(1,0,0,1) Matrix(13633,-36864,5041,-13631) -> Matrix(1,0,7,1) Matrix(2433,-6592,850,-2303) -> Matrix(1,0,0,1) Matrix(447,-1216,118,-321) -> Matrix(1,-2,2,-3) Matrix(257,-704,23,-63) -> Matrix(7,-2,11,-3) Matrix(17919,-49664,3695,-10241) -> Matrix(7,-2,11,-3) Matrix(22721,-62976,4687,-12991) -> Matrix(5,-4,9,-7) Matrix(1473,-4096,529,-1471) -> Matrix(5,-2,13,-5) Matrix(383,-1088,113,-321) -> Matrix(1,0,1,1) Matrix(3329,-9536,871,-2495) -> Matrix(21,-8,29,-11) Matrix(577,-1664,155,-447) -> Matrix(19,-8,31,-13) Matrix(385,-1216,101,-319) -> Matrix(7,-4,9,-5) Matrix(321,-1024,100,-319) -> Matrix(3,-2,2,-1) Matrix(1153,-3712,278,-895) -> Matrix(1,0,0,1) Matrix(257,-832,59,-191) -> Matrix(1,0,1,1) Matrix(3583,-11712,666,-2177) -> Matrix(9,-8,8,-7) Matrix(1087,-3584,175,-577) -> Matrix(1,0,1,1) Matrix(193,-640,19,-63) -> Matrix(1,0,1,1) Matrix(1217,-4096,361,-1215) -> Matrix(1,0,7,1) Matrix(511,-1728,76,-257) -> Matrix(9,-2,14,-3) Matrix(1217,-4160,318,-1087) -> Matrix(23,-10,30,-13) Matrix(1663,-5696,374,-1281) -> Matrix(17,-8,32,-15) Matrix(577,-1984,130,-447) -> Matrix(3,-2,8,-5) Matrix(4543,-16256,984,-3521) -> Matrix(3,-2,8,-5) Matrix(511,-1856,106,-385) -> Matrix(1,0,0,1) Matrix(191,-704,35,-129) -> Matrix(1,0,-1,1) Matrix(4993,-18496,1140,-4223) -> Matrix(7,-4,16,-9) Matrix(6401,-23744,1380,-5119) -> Matrix(57,-32,98,-55) Matrix(17665,-65536,4761,-17663) -> Matrix(141,-80,245,-139) Matrix(257,-960,34,-127) -> Matrix(23,-14,28,-17) Matrix(1089,-4096,289,-1087) -> Matrix(79,-52,117,-77) Matrix(17153,-65536,4489,-17151) -> Matrix(19,-12,27,-17) Matrix(895,-3456,166,-641) -> Matrix(9,-8,8,-7) Matrix(65,-256,16,-63) -> Matrix(3,-2,2,-1) Matrix(1985,-8256,446,-1855) -> Matrix(5,-2,8,-3) Matrix(319,-1344,61,-257) -> Matrix(1,4,1,5) Matrix(257,-1088,30,-127) -> Matrix(1,2,0,1) Matrix(961,-4096,225,-959) -> Matrix(1,0,15,1) Matrix(3713,-16384,841,-3711) -> Matrix(5,-2,13,-5) Matrix(1025,-4736,166,-767) -> Matrix(7,-4,16,-9) Matrix(193,-1024,36,-191) -> Matrix(15,-14,14,-13) Matrix(705,-4096,121,-703) -> Matrix(1,0,11,1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 3 Minimal number of generators: 2 Number of equivalence classes of elliptic points of order 2: 1 Number of equivalence classes of elliptic points of order 3: 0 Number of equivalence classes of cusps: 2 Genus: 0 Degree of H/liftables -> H/(image of liftables): 129 ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 0/1 1 1 2/1 0/1 1 16 17/8 1/3 1 32 32/15 1/2 2 1 15/7 1/2 1 32 13/6 1/1 1 32 37/17 1/0 1 32 61/28 1/1 1 32 24/11 0/1 1 4 11/5 1/2 1 32 31/14 1/1 1 32 20/9 1/1 1 8 69/31 -1/2 1 32 256/115 0/1 13 1 118/53 0/1 1 16 49/22 1/3 1 32 29/13 3/4 1 32 38/17 2/1 1 16 9/4 1/1 1 32 34/15 0/1 1 16 59/26 -1/3 1 32 84/37 1/0 1 8 25/11 -1/2 1 32 16/7 0/1 5 2 39/17 1/8 1 32 62/27 0/1 1 16 85/37 1/6 1 32 23/10 1/5 1 32 30/13 0/1 1 16 67/29 1/4 1 32 37/16 1/3 1 32 7/3 1/4 1 32 33/14 1/3 1 32 59/25 1/2 1 32 26/11 2/5 1 16 64/27 (0/1,2/5).(1/3,1/2) 0 1 19/8 1/3 1 32 31/13 1/2 1 32 43/18 1/1 1 32 12/5 1/2 1 8 41/17 1/2 1 32 29/12 1/5 1 32 17/7 3/8 1 32 56/23 1/2 5 4 39/16 1/3 1 32 61/25 1/2 1 32 22/9 2/5 1 16 49/20 5/11 1 32 76/31 3/7 1 8 27/11 1/2 1 32 32/13 1/2 6 1 5/2 1/1 1 32 33/13 1/2 1 32 28/11 1/2 1 8 23/9 1/2 1 32 64/25 (0/1,2/3).(1/2,1/1) 0 1 18/7 2/3 1 16 67/26 1/1 1 32 116/45 3/4 1 8 49/19 5/6 1 32 129/50 1/1 1 32 80/31 1/1 13 2 31/12 1/1 1 32 44/17 1/1 1 8 13/5 1/0 1 32 34/13 0/1 1 16 55/21 1/4 1 32 186/71 0/1 1 16 448/171 0/1 1 1 131/50 1/3 1 32 76/29 1/2 1 8 21/8 1/1 1 32 92/35 1/0 1 8 71/27 -1/2 1 32 192/73 0/1 9 1 50/19 0/1 1 16 129/49 1/2 1 32 79/30 3/5 1 32 29/11 1/0 1 32 8/3 0/1 1 4 35/13 1/2 1 32 97/36 1/3 1 32 256/95 (0/1,2/5).(1/3,1/2) 0 1 62/23 0/1 1 16 89/33 1/4 1 32 116/43 1/4 1 8 27/10 1/3 1 32 100/37 1/2 1 8 73/27 1/0 1 32 192/71 0/1 7 1 46/17 0/1 1 16 65/24 1/3 1 32 84/31 1/3 1 8 19/7 1/2 1 32 30/11 0/1 1 16 41/15 1/4 1 32 52/19 1/4 1 8 63/23 1/4 1 32 11/4 1/3 1 32 36/13 1/2 1 8 97/35 1/2 1 32 158/57 0/1 1 16 61/22 1/3 1 32 25/9 1/2 1 32 64/23 (0/1,2/5).(1/3,1/2) 0 1 14/5 2/5 1 16 31/11 1/2 1 32 48/17 1/2 13 2 17/6 1/1 1 32 20/7 1/3 1 8 63/22 1/3 1 32 43/15 1/2 1 32 23/8 3/7 1 32 3/1 1/2 1 32 22/7 2/3 1 16 19/6 1/1 1 32 16/5 1/1 1 2 45/14 1/1 1 32 74/23 0/1 1 16 29/9 1/0 1 32 13/4 1/1 1 32 49/15 1/2 1 32 85/26 1/1 1 32 36/11 1/2 1 8 23/7 1/2 1 32 56/17 1/1 5 4 89/27 1/0 1 32 33/10 1/1 1 32 43/13 1/2 1 32 96/29 1/1 3 1 53/16 1/1 1 32 10/3 0/1 1 16 64/19 0/1 7 1 27/8 1/5 1 32 44/13 1/4 1 8 17/5 1/2 1 32 41/12 3/7 1 32 65/19 1/2 1 32 89/26 5/11 1 32 24/7 1/2 5 4 31/9 1/2 1 32 7/2 1/3 1 32 32/9 1/2 9 1 25/7 1/2 1 32 43/12 5/9 1 32 61/17 1/2 1 32 18/5 4/7 1 16 65/18 3/5 1 32 112/31 3/5 13 2 47/13 11/18 1 32 29/8 1/1 1 32 40/11 2/3 1 4 11/3 1/2 1 32 37/10 5/9 1 32 100/27 1/2 1 8 63/17 1/2 1 32 89/24 5/9 1 32 115/31 9/16 1 32 256/69 4/7 5 1 26/7 4/7 1 16 93/25 19/32 1 32 160/43 3/5 10 1 67/18 3/5 1 32 41/11 1/2 1 32 15/4 7/11 1 32 64/17 2/3 13 1 34/9 2/3 1 16 19/5 3/4 1 32 42/11 2/3 1 16 256/67 2/3 3 1 107/28 5/7 1 32 65/17 3/4 1 32 23/6 1/1 1 32 4/1 1/1 1 8 29/7 1/0 1 32 54/13 0/1 1 16 25/6 1/1 1 32 21/5 1/0 1 32 38/9 0/1 1 16 17/4 -1/3 1 32 64/15 0/1 15 1 30/7 0/1 1 16 13/3 1/2 1 32 35/8 1/1 1 32 127/29 1/2 1 32 92/21 1/2 1 8 57/13 1/4 1 32 22/5 0/1 1 16 128/29 (0/1,2/5).(1/3,1/2) 0 1 53/12 1/3 1 32 31/7 1/2 1 32 40/9 1/2 5 4 89/20 3/5 1 32 138/31 2/3 1 16 49/11 1/2 1 32 58/13 0/1 1 16 9/2 1/3 1 32 32/7 1/2 7 1 23/5 1/2 1 32 60/13 1/2 1 8 157/34 3/5 1 32 97/21 1/2 1 32 37/8 5/9 1 32 51/11 1/2 1 32 167/36 3/5 1 32 116/25 3/5 1 8 65/14 3/5 1 32 14/3 2/3 1 16 33/7 1/2 1 32 19/4 3/5 1 32 62/13 2/3 1 16 43/9 1/2 1 32 67/14 3/5 1 32 24/5 2/3 1 4 29/6 1/1 1 32 63/13 1/2 1 32 160/33 3/5 1 1 97/20 3/5 1 32 34/7 2/3 1 16 5/1 3/4 1 32 26/5 4/5 1 16 21/4 1/1 1 32 16/3 1/1 7 2 43/8 1/1 1 32 113/21 7/6 1 32 70/13 6/5 1 16 27/5 5/4 1 32 11/2 1/1 1 32 28/5 1/0 1 8 73/13 1/2 1 32 45/8 1/1 1 32 62/11 0/1 1 16 17/3 1/0 1 32 23/4 -1/1 1 32 29/5 -1/4 1 32 64/11 0/1 11 1 6/1 0/1 1 16 37/6 1/1 1 32 31/5 1/2 1 32 25/4 1/1 1 32 44/7 1/3 1 8 19/3 1/2 1 32 32/5 1/2 5 1 13/2 3/5 1 32 20/3 1/2 1 8 27/4 1/1 1 32 7/1 1/2 1 32 22/3 2/3 1 16 15/2 7/9 1 32 23/3 5/6 1 32 8/1 1/1 5 4 17/2 5/3 1 32 26/3 2/1 1 16 9/1 1/0 1 32 19/2 1/1 1 32 10/1 0/1 1 16 11/1 1/2 1 32 1/0 1/1 1 32 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(1,0,1,-1) (0/1,2/1) -> (0/1,2/1) Reflection Matrix(513,-1088,91,-193) (2/1,17/8) -> (62/11,17/3) Glide Reflection Matrix(511,-1088,240,-511) (17/8,32/15) -> (17/8,32/15) Reflection Matrix(449,-960,210,-449) (32/15,15/7) -> (32/15,15/7) Reflection Matrix(385,-832,118,-255) (15/7,13/6) -> (13/4,49/15) Hyperbolic Matrix(1089,-2368,235,-511) (13/6,37/17) -> (37/8,51/11) Hyperbolic Matrix(2175,-4736,941,-2049) (37/17,61/28) -> (67/29,37/16) Hyperbolic Matrix(1409,-3072,294,-641) (61/28,24/11) -> (67/14,24/5) Glide Reflection Matrix(321,-704,88,-193) (24/11,11/5) -> (40/11,11/3) Glide Reflection Matrix(897,-1984,203,-449) (11/5,31/14) -> (53/12,31/7) Glide Reflection Matrix(895,-1984,346,-767) (31/14,20/9) -> (31/12,44/17) Glide Reflection Matrix(3135,-6976,1381,-3073) (20/9,69/31) -> (59/26,84/37) Hyperbolic Matrix(15871,-35328,7130,-15871) (69/31,256/115) -> (69/31,256/115) Reflection Matrix(13569,-30208,6095,-13569) (256/115,118/53) -> (256/115,118/53) Reflection Matrix(5633,-12544,1265,-2817) (118/53,49/22) -> (138/31,49/11) Glide Reflection Matrix(1665,-3712,632,-1409) (49/22,29/13) -> (79/30,29/11) Glide Reflection Matrix(1919,-4288,516,-1153) (29/13,38/17) -> (26/7,93/25) Hyperbolic Matrix(257,-576,29,-65) (38/17,9/4) -> (26/3,9/1) Glide Reflection Matrix(961,-2176,367,-831) (9/4,34/15) -> (34/13,55/21) Hyperbolic Matrix(959,-2176,197,-447) (34/15,59/26) -> (34/7,5/1) Glide Reflection Matrix(1409,-3200,225,-511) (84/37,25/11) -> (25/4,44/7) Hyperbolic Matrix(449,-1024,196,-447) (25/11,16/7) -> (16/7,39/17) Parabolic Matrix(3457,-7936,1282,-2943) (39/17,62/27) -> (62/23,89/33) Hyperbolic Matrix(3455,-7936,724,-1663) (62/27,85/37) -> (62/13,43/9) Glide Reflection Matrix(1281,-2944,446,-1025) (85/37,23/10) -> (43/15,23/8) Glide Reflection Matrix(833,-1920,305,-703) (23/10,30/13) -> (30/11,41/15) Hyperbolic Matrix(5375,-12416,1939,-4479) (30/13,67/29) -> (158/57,61/22) Glide Reflection Matrix(193,-448,28,-65) (37/16,7/3) -> (27/4,7/1) Glide Reflection Matrix(191,-448,55,-129) (7/3,33/14) -> (31/9,7/2) Hyperbolic Matrix(895,-2112,353,-833) (33/14,59/25) -> (5/2,33/13) Hyperbolic Matrix(705,-1664,136,-321) (59/25,26/11) -> (5/1,26/5) Glide Reflection Matrix(703,-1664,297,-703) (26/11,64/27) -> (26/11,64/27) Reflection Matrix(1025,-2432,432,-1025) (64/27,19/8) -> (64/27,19/8) Reflection Matrix(511,-1216,108,-257) (19/8,31/13) -> (33/7,19/4) Hyperbolic Matrix(1153,-2752,349,-833) (31/13,43/18) -> (33/10,43/13) Glide Reflection Matrix(1473,-3520,562,-1343) (43/18,12/5) -> (76/29,21/8) Hyperbolic Matrix(1089,-2624,398,-959) (12/5,41/17) -> (41/15,52/19) Hyperbolic Matrix(769,-1856,133,-321) (41/17,29/12) -> (23/4,29/5) Glide Reflection Matrix(767,-1856,212,-513) (29/12,17/7) -> (47/13,29/8) Hyperbolic Matrix(447,-1088,53,-129) (17/7,56/23) -> (8/1,17/2) Hyperbolic Matrix(2943,-7168,893,-2175) (56/23,39/16) -> (56/17,89/27) Glide Reflection Matrix(1601,-3904,577,-1407) (39/16,61/25) -> (61/22,25/9) Hyperbolic Matrix(577,-1408,184,-449) (61/25,22/9) -> (3/1,22/7) Glide Reflection Matrix(575,-1408,78,-191) (22/9,49/20) -> (22/3,15/2) Glide Reflection Matrix(3839,-9408,1489,-3649) (49/20,76/31) -> (116/45,49/19) Hyperbolic Matrix(2113,-5184,783,-1921) (76/31,27/11) -> (116/43,27/10) Glide Reflection Matrix(703,-1728,286,-703) (27/11,32/13) -> (27/11,32/13) Reflection Matrix(129,-320,52,-129) (32/13,5/2) -> (32/13,5/2) Reflection Matrix(1535,-3904,554,-1409) (33/13,28/11) -> (36/13,97/35) Hyperbolic Matrix(577,-1472,176,-449) (28/11,23/9) -> (36/11,23/7) Glide Reflection Matrix(1151,-2944,450,-1151) (23/9,64/25) -> (23/9,64/25) Reflection Matrix(449,-1152,175,-449) (64/25,18/7) -> (64/25,18/7) Reflection Matrix(895,-2304,249,-641) (18/7,67/26) -> (61/17,18/5) Hyperbolic Matrix(7871,-20288,3004,-7743) (67/26,116/45) -> (131/50,76/29) Glide Reflection Matrix(6401,-16512,2431,-6271) (49/19,129/50) -> (129/49,79/30) Hyperbolic Matrix(7615,-19648,2108,-5439) (129/50,80/31) -> (65/18,112/31) Glide Reflection Matrix(1537,-3968,545,-1407) (80/31,31/12) -> (31/11,48/17) Hyperbolic Matrix(321,-832,49,-127) (44/17,13/5) -> (13/2,20/3) Hyperbolic Matrix(319,-832,74,-193) (13/5,34/13) -> (30/7,13/3) Hyperbolic Matrix(1857,-4864,415,-1087) (55/21,186/71) -> (58/13,9/2) Hyperbolic Matrix(31807,-83328,12141,-31807) (186/71,448/171) -> (186/71,448/171) Reflection Matrix(44801,-117376,17100,-44801) (448/171,131/50) -> (448/171,131/50) Reflection Matrix(3263,-8576,998,-2623) (21/8,92/35) -> (85/26,36/11) Glide Reflection Matrix(4479,-11776,1022,-2687) (92/35,71/27) -> (92/21,57/13) Glide Reflection Matrix(10367,-27264,3942,-10367) (71/27,192/73) -> (71/27,192/73) Reflection Matrix(3649,-9600,1387,-3649) (192/73,50/19) -> (192/73,50/19) Reflection Matrix(1921,-5056,413,-1087) (50/19,129/49) -> (65/14,14/3) Hyperbolic Matrix(193,-512,72,-191) (29/11,8/3) -> (8/3,35/13) Parabolic Matrix(6913,-18624,1497,-4033) (35/13,97/36) -> (157/34,97/21) Glide Reflection Matrix(18431,-49664,6840,-18431) (97/36,256/95) -> (97/36,256/95) Reflection Matrix(5889,-15872,2185,-5889) (256/95,62/23) -> (256/95,62/23) Reflection Matrix(11009,-29696,2373,-6401) (89/33,116/43) -> (167/36,116/25) Glide Reflection Matrix(2369,-6400,640,-1729) (27/10,100/37) -> (37/10,100/27) Glide Reflection Matrix(3457,-9344,616,-1665) (100/37,73/27) -> (28/5,73/13) Glide Reflection Matrix(10367,-28032,3834,-10367) (73/27,192/71) -> (73/27,192/71) Reflection Matrix(3265,-8832,1207,-3265) (192/71,46/17) -> (192/71,46/17) Reflection Matrix(1537,-4160,426,-1153) (46/17,65/24) -> (18/5,65/18) Glide Reflection Matrix(2433,-6592,850,-2303) (65/24,84/31) -> (20/7,63/22) Hyperbolic Matrix(897,-2432,142,-385) (84/31,19/7) -> (44/7,19/3) Glide Reflection Matrix(447,-1216,118,-321) (19/7,30/11) -> (34/9,19/5) Hyperbolic Matrix(3903,-10688,841,-2303) (52/19,63/23) -> (116/25,65/14) Glide Reflection Matrix(257,-704,23,-63) (63/23,11/4) -> (11/1,1/0) Hyperbolic Matrix(255,-704,46,-127) (11/4,36/13) -> (11/2,28/5) Glide Reflection Matrix(6719,-18624,1385,-3839) (97/35,158/57) -> (97/20,34/7) Glide Reflection Matrix(1151,-3200,414,-1151) (25/9,64/23) -> (25/9,64/23) Reflection Matrix(321,-896,115,-321) (64/23,14/5) -> (64/23,14/5) Reflection Matrix(319,-896,68,-191) (14/5,31/11) -> (14/3,33/7) Glide Reflection Matrix(1471,-4160,407,-1151) (48/17,17/6) -> (112/31,47/13) Glide Reflection Matrix(383,-1088,113,-321) (17/6,20/7) -> (44/13,17/5) Hyperbolic Matrix(3329,-9536,871,-2495) (63/22,43/15) -> (107/28,65/17) Hyperbolic Matrix(577,-1664,155,-447) (23/8,3/1) -> (67/18,41/11) Hyperbolic Matrix(385,-1216,101,-319) (22/7,19/6) -> (19/5,42/11) Hyperbolic Matrix(321,-1024,100,-319) (19/6,16/5) -> (16/5,45/14) Parabolic Matrix(577,-1856,60,-193) (45/14,74/23) -> (19/2,10/1) Glide Reflection Matrix(1153,-3712,278,-895) (74/23,29/9) -> (29/7,54/13) Hyperbolic Matrix(257,-832,59,-191) (29/9,13/4) -> (13/3,35/8) Hyperbolic Matrix(3583,-11712,666,-2177) (49/15,85/26) -> (43/8,113/21) Hyperbolic Matrix(447,-1472,58,-191) (23/7,56/17) -> (23/3,8/1) Glide Reflection Matrix(1087,-3584,175,-577) (89/27,33/10) -> (31/5,25/4) Hyperbolic Matrix(2495,-8256,754,-2495) (43/13,96/29) -> (43/13,96/29) Reflection Matrix(3073,-10176,928,-3073) (96/29,53/16) -> (96/29,53/16) Reflection Matrix(193,-640,19,-63) (53/16,10/3) -> (10/1,11/1) Hyperbolic Matrix(191,-640,57,-191) (10/3,64/19) -> (10/3,64/19) Reflection Matrix(1025,-3456,304,-1025) (64/19,27/8) -> (64/19,27/8) Reflection Matrix(511,-1728,76,-257) (27/8,44/13) -> (20/3,27/4) Hyperbolic Matrix(319,-1088,56,-191) (17/5,41/12) -> (17/3,23/4) Glide Reflection Matrix(1217,-4160,318,-1087) (41/12,65/19) -> (65/17,23/6) Hyperbolic Matrix(3329,-11392,898,-3073) (65/19,89/26) -> (63/17,89/24) Glide Reflection Matrix(1663,-5696,374,-1281) (89/26,24/7) -> (40/9,89/20) Hyperbolic Matrix(577,-1984,130,-447) (24/7,31/9) -> (31/7,40/9) Hyperbolic Matrix(127,-448,36,-127) (7/2,32/9) -> (7/2,32/9) Reflection Matrix(449,-1600,126,-449) (32/9,25/7) -> (32/9,25/7) Reflection Matrix(447,-1600,107,-383) (25/7,43/12) -> (25/6,21/5) Glide Reflection Matrix(1535,-5504,321,-1151) (43/12,61/17) -> (43/9,67/14) Glide Reflection Matrix(511,-1856,106,-385) (29/8,40/11) -> (24/5,29/6) Hyperbolic Matrix(191,-704,35,-129) (11/3,37/10) -> (27/5,11/2) Hyperbolic Matrix(4993,-18496,1140,-4223) (100/27,63/17) -> (127/29,92/21) Hyperbolic Matrix(6401,-23744,1380,-5119) (89/24,115/31) -> (51/11,167/36) Hyperbolic Matrix(15871,-58880,4278,-15871) (115/31,256/69) -> (115/31,256/69) Reflection Matrix(1793,-6656,483,-1793) (256/69,26/7) -> (256/69,26/7) Reflection Matrix(7999,-29760,2150,-7999) (93/25,160/43) -> (93/25,160/43) Reflection Matrix(5761,-21440,1548,-5761) (160/43,67/18) -> (160/43,67/18) Reflection Matrix(257,-960,34,-127) (41/11,15/4) -> (15/2,23/3) Hyperbolic Matrix(511,-1920,136,-511) (15/4,64/17) -> (15/4,64/17) Reflection Matrix(577,-2176,153,-577) (64/17,34/9) -> (64/17,34/9) Reflection Matrix(2815,-10752,737,-2815) (42/11,256/67) -> (42/11,256/67) Reflection Matrix(14337,-54784,3752,-14337) (256/67,107/28) -> (256/67,107/28) Reflection Matrix(383,-1472,83,-319) (23/6,4/1) -> (23/5,60/13) Glide Reflection Matrix(577,-2368,125,-513) (4/1,29/7) -> (60/13,157/34) Glide Reflection Matrix(1985,-8256,446,-1855) (54/13,25/6) -> (89/20,138/31) Hyperbolic Matrix(319,-1344,61,-257) (21/5,38/9) -> (26/5,21/4) Hyperbolic Matrix(257,-1088,30,-127) (38/9,17/4) -> (17/2,26/3) Hyperbolic Matrix(511,-2176,120,-511) (17/4,64/15) -> (17/4,64/15) Reflection Matrix(449,-1920,105,-449) (64/15,30/7) -> (64/15,30/7) Reflection Matrix(1345,-5888,278,-1217) (35/8,127/29) -> (29/6,63/13) Glide Reflection Matrix(321,-1408,44,-193) (57/13,22/5) -> (7/1,22/3) Glide Reflection Matrix(639,-2816,145,-639) (22/5,128/29) -> (22/5,128/29) Reflection Matrix(3073,-13568,696,-3073) (128/29,53/12) -> (128/29,53/12) Reflection Matrix(2239,-9984,416,-1855) (49/11,58/13) -> (113/21,70/13) Glide Reflection Matrix(127,-576,28,-127) (9/2,32/7) -> (9/2,32/7) Reflection Matrix(321,-1472,70,-321) (32/7,23/5) -> (32/7,23/5) Reflection Matrix(1025,-4736,166,-767) (97/21,37/8) -> (37/6,31/5) Hyperbolic Matrix(833,-3968,148,-705) (19/4,62/13) -> (45/8,62/11) Glide Reflection Matrix(4159,-20160,858,-4159) (63/13,160/33) -> (63/13,160/33) Reflection Matrix(6401,-31040,1320,-6401) (160/33,97/20) -> (160/33,97/20) Reflection Matrix(193,-1024,36,-191) (21/4,16/3) -> (16/3,43/8) Parabolic Matrix(511,-2752,83,-447) (70/13,27/5) -> (6/1,37/6) Glide Reflection Matrix(319,-1792,34,-191) (73/13,45/8) -> (9/1,19/2) Glide Reflection Matrix(639,-3712,110,-639) (29/5,64/11) -> (29/5,64/11) Reflection Matrix(65,-384,11,-65) (64/11,6/1) -> (64/11,6/1) Reflection Matrix(191,-1216,30,-191) (19/3,32/5) -> (19/3,32/5) Reflection Matrix(129,-832,20,-129) (32/5,13/2) -> (32/5,13/2) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(1,0,2,-1) (0/1,1/0) -> (0/1,1/1) Matrix(1,0,1,-1) -> Matrix(1,0,3,-1) (0/1,2/1) -> (0/1,2/3) Matrix(513,-1088,91,-193) -> Matrix(1,0,3,-1) *** -> (0/1,2/3) Matrix(511,-1088,240,-511) -> Matrix(5,-2,12,-5) (17/8,32/15) -> (1/3,1/2) Matrix(449,-960,210,-449) -> Matrix(3,-2,4,-3) (32/15,15/7) -> (1/2,1/1) Matrix(385,-832,118,-255) -> Matrix(1,0,0,1) Matrix(1089,-2368,235,-511) -> Matrix(5,-4,9,-7) 2/3 Matrix(2175,-4736,941,-2049) -> Matrix(1,0,3,1) 0/1 Matrix(1409,-3072,294,-641) -> Matrix(1,2,2,3) Matrix(321,-704,88,-193) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(897,-1984,203,-449) -> Matrix(3,-2,7,-5) Matrix(895,-1984,346,-767) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(3135,-6976,1381,-3073) -> Matrix(1,0,-1,1) 0/1 Matrix(15871,-35328,7130,-15871) -> Matrix(-1,0,4,1) (69/31,256/115) -> (-1/2,0/1) Matrix(13569,-30208,6095,-13569) -> Matrix(1,0,9,-1) (256/115,118/53) -> (0/1,2/9) Matrix(5633,-12544,1265,-2817) -> Matrix(5,-2,7,-3) Matrix(1665,-3712,632,-1409) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(1919,-4288,516,-1153) -> Matrix(7,-10,12,-17) Matrix(257,-576,29,-65) -> Matrix(1,0,1,-1) *** -> (0/1,2/1) Matrix(961,-2176,367,-831) -> Matrix(1,0,3,1) 0/1 Matrix(959,-2176,197,-447) -> Matrix(3,2,5,3) Matrix(1409,-3200,225,-511) -> Matrix(1,0,3,1) 0/1 Matrix(449,-1024,196,-447) -> Matrix(1,0,10,1) 0/1 Matrix(3457,-7936,1282,-2943) -> Matrix(1,0,-4,1) 0/1 Matrix(3455,-7936,724,-1663) -> Matrix(11,-2,16,-3) Matrix(1281,-2944,446,-1025) -> Matrix(13,-2,32,-5) Matrix(833,-1920,305,-703) -> Matrix(1,0,-1,1) 0/1 Matrix(5375,-12416,1939,-4479) -> Matrix(1,0,7,-1) *** -> (0/1,2/7) Matrix(193,-448,28,-65) -> Matrix(7,-2,10,-3) Matrix(191,-448,55,-129) -> Matrix(1,0,-1,1) 0/1 Matrix(895,-2112,353,-833) -> Matrix(1,0,-1,1) 0/1 Matrix(705,-1664,136,-321) -> Matrix(7,-2,10,-3) Matrix(703,-1664,297,-703) -> Matrix(1,0,5,-1) (26/11,64/27) -> (0/1,2/5) Matrix(1025,-2432,432,-1025) -> Matrix(5,-2,12,-5) (64/27,19/8) -> (1/3,1/2) Matrix(511,-1216,108,-257) -> Matrix(9,-4,16,-7) 1/2 Matrix(1153,-2752,349,-833) -> Matrix(1,0,3,-1) *** -> (0/1,2/3) Matrix(1473,-3520,562,-1343) -> Matrix(1,0,0,1) Matrix(1089,-2624,398,-959) -> Matrix(1,0,2,1) 0/1 Matrix(769,-1856,133,-321) -> Matrix(1,0,1,-1) *** -> (0/1,2/1) Matrix(767,-1856,212,-513) -> Matrix(9,-2,14,-3) Matrix(447,-1088,53,-129) -> Matrix(9,-4,7,-3) Matrix(2943,-7168,893,-2175) -> Matrix(1,0,3,-1) *** -> (0/1,2/3) Matrix(1601,-3904,577,-1407) -> Matrix(5,-2,13,-5) (0/1,2/5).(1/3,1/2) Matrix(577,-1408,184,-449) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(575,-1408,78,-191) -> Matrix(19,-8,26,-11) Matrix(3839,-9408,1489,-3649) -> Matrix(1,0,-1,1) 0/1 Matrix(2113,-5184,783,-1921) -> Matrix(9,-4,29,-13) Matrix(703,-1728,286,-703) -> Matrix(21,-10,44,-21) (27/11,32/13) -> (5/11,1/2) Matrix(129,-320,52,-129) -> Matrix(3,-2,4,-3) (32/13,5/2) -> (1/2,1/1) Matrix(1535,-3904,554,-1409) -> Matrix(3,-2,8,-5) 1/2 Matrix(577,-1472,176,-449) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(1151,-2944,450,-1151) -> Matrix(3,-2,4,-3) (23/9,64/25) -> (1/2,1/1) Matrix(449,-1152,175,-449) -> Matrix(1,0,3,-1) (64/25,18/7) -> (0/1,2/3) Matrix(895,-2304,249,-641) -> Matrix(7,-6,13,-11) Matrix(7871,-20288,3004,-7743) -> Matrix(3,-2,10,-7) Matrix(6401,-16512,2431,-6271) -> Matrix(9,-8,17,-15) Matrix(7615,-19648,2108,-5439) -> Matrix(49,-46,82,-77) Matrix(1537,-3968,545,-1407) -> Matrix(5,-6,11,-13) Matrix(321,-832,49,-127) -> Matrix(3,-2,5,-3) (0/1,2/3).(1/2,1/1) Matrix(319,-832,74,-193) -> Matrix(1,0,2,1) 0/1 Matrix(1857,-4864,415,-1087) -> Matrix(1,0,-1,1) 0/1 Matrix(31807,-83328,12141,-31807) -> Matrix(1,0,5,-1) (186/71,448/171) -> (0/1,2/5) Matrix(44801,-117376,17100,-44801) -> Matrix(1,0,6,-1) (448/171,131/50) -> (0/1,1/3) Matrix(3263,-8576,998,-2623) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(4479,-11776,1022,-2687) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(10367,-27264,3942,-10367) -> Matrix(-1,0,4,1) (71/27,192/73) -> (-1/2,0/1) Matrix(3649,-9600,1387,-3649) -> Matrix(1,0,5,-1) (192/73,50/19) -> (0/1,2/5) Matrix(1921,-5056,413,-1087) -> Matrix(7,-2,11,-3) Matrix(193,-512,72,-191) -> Matrix(1,0,2,1) 0/1 Matrix(6913,-18624,1497,-4033) -> Matrix(11,-4,19,-7) Matrix(18431,-49664,6840,-18431) -> Matrix(5,-2,12,-5) (97/36,256/95) -> (1/3,1/2) Matrix(5889,-15872,2185,-5889) -> Matrix(1,0,5,-1) (256/95,62/23) -> (0/1,2/5) Matrix(11009,-29696,2373,-6401) -> Matrix(19,-4,33,-7) Matrix(2369,-6400,640,-1729) -> Matrix(7,-4,12,-7) *** -> (1/2,2/3) Matrix(3457,-9344,616,-1665) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(10367,-28032,3834,-10367) -> Matrix(1,0,0,-1) (73/27,192/71) -> (0/1,1/0) Matrix(3265,-8832,1207,-3265) -> Matrix(1,0,7,-1) (192/71,46/17) -> (0/1,2/7) Matrix(1537,-4160,426,-1153) -> Matrix(15,-4,26,-7) Matrix(2433,-6592,850,-2303) -> Matrix(1,0,0,1) Matrix(897,-2432,142,-385) -> Matrix(5,-2,12,-5) *** -> (1/3,1/2) Matrix(447,-1216,118,-321) -> Matrix(1,-2,2,-3) 1/1 Matrix(3903,-10688,841,-2303) -> Matrix(19,-4,33,-7) Matrix(257,-704,23,-63) -> Matrix(7,-2,11,-3) Matrix(255,-704,46,-127) -> Matrix(5,-2,2,-1) Matrix(6719,-18624,1385,-3839) -> Matrix(1,-2,1,-3) Matrix(1151,-3200,414,-1151) -> Matrix(5,-2,12,-5) (25/9,64/23) -> (1/3,1/2) Matrix(321,-896,115,-321) -> Matrix(1,0,5,-1) (64/23,14/5) -> (0/1,2/5) Matrix(319,-896,68,-191) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1471,-4160,407,-1151) -> Matrix(25,-14,41,-23) Matrix(383,-1088,113,-321) -> Matrix(1,0,1,1) 0/1 Matrix(3329,-9536,871,-2495) -> Matrix(21,-8,29,-11) Matrix(577,-1664,155,-447) -> Matrix(19,-8,31,-13) Matrix(385,-1216,101,-319) -> Matrix(7,-4,9,-5) 2/3 Matrix(321,-1024,100,-319) -> Matrix(3,-2,2,-1) 1/1 Matrix(577,-1856,60,-193) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(1153,-3712,278,-895) -> Matrix(1,0,0,1) Matrix(257,-832,59,-191) -> Matrix(1,0,1,1) 0/1 Matrix(3583,-11712,666,-2177) -> Matrix(9,-8,8,-7) 1/1 Matrix(447,-1472,58,-191) -> Matrix(7,-6,8,-7) *** -> (3/4,1/1) Matrix(1087,-3584,175,-577) -> Matrix(1,0,1,1) 0/1 Matrix(2495,-8256,754,-2495) -> Matrix(3,-2,4,-3) (43/13,96/29) -> (1/2,1/1) Matrix(3073,-10176,928,-3073) -> Matrix(3,-4,2,-3) (96/29,53/16) -> (1/1,2/1) Matrix(193,-640,19,-63) -> Matrix(1,0,1,1) 0/1 Matrix(191,-640,57,-191) -> Matrix(1,0,3,-1) (10/3,64/19) -> (0/1,2/3) Matrix(1025,-3456,304,-1025) -> Matrix(1,0,10,-1) (64/19,27/8) -> (0/1,1/5) Matrix(511,-1728,76,-257) -> Matrix(9,-2,14,-3) Matrix(319,-1088,56,-191) -> Matrix(5,-2,2,-1) Matrix(1217,-4160,318,-1087) -> Matrix(23,-10,30,-13) Matrix(3329,-11392,898,-3073) -> Matrix(1,0,4,-1) *** -> (0/1,1/2) Matrix(1663,-5696,374,-1281) -> Matrix(17,-8,32,-15) 1/2 Matrix(577,-1984,130,-447) -> Matrix(3,-2,8,-5) 1/2 Matrix(127,-448,36,-127) -> Matrix(5,-2,12,-5) (7/2,32/9) -> (1/3,1/2) Matrix(449,-1600,126,-449) -> Matrix(31,-16,60,-31) (32/9,25/7) -> (1/2,8/15) Matrix(447,-1600,107,-383) -> Matrix(11,-6,9,-5) Matrix(1535,-5504,321,-1151) -> Matrix(25,-14,41,-23) Matrix(511,-1856,106,-385) -> Matrix(1,0,0,1) Matrix(191,-704,35,-129) -> Matrix(1,0,-1,1) 0/1 Matrix(4993,-18496,1140,-4223) -> Matrix(7,-4,16,-9) 1/2 Matrix(6401,-23744,1380,-5119) -> Matrix(57,-32,98,-55) 4/7 Matrix(15871,-58880,4278,-15871) -> Matrix(127,-72,224,-127) (115/31,256/69) -> (9/16,4/7) Matrix(1793,-6656,483,-1793) -> Matrix(13,-8,21,-13) (256/69,26/7) -> (4/7,2/3) Matrix(7999,-29760,2150,-7999) -> Matrix(191,-114,320,-191) (93/25,160/43) -> (19/32,3/5) Matrix(5761,-21440,1548,-5761) -> Matrix(109,-66,180,-109) (160/43,67/18) -> (3/5,11/18) Matrix(257,-960,34,-127) -> Matrix(23,-14,28,-17) Matrix(511,-1920,136,-511) -> Matrix(43,-28,66,-43) (15/4,64/17) -> (7/11,2/3) Matrix(577,-2176,153,-577) -> Matrix(35,-24,51,-35) (64/17,34/9) -> (2/3,12/17) Matrix(2815,-10752,737,-2815) -> Matrix(11,-8,15,-11) (42/11,256/67) -> (2/3,4/5) Matrix(14337,-54784,3752,-14337) -> Matrix(29,-20,42,-29) (256/67,107/28) -> (2/3,5/7) Matrix(383,-1472,83,-319) -> Matrix(1,-2,1,-3) Matrix(577,-2368,125,-513) -> Matrix(3,-4,5,-7) Matrix(1985,-8256,446,-1855) -> Matrix(5,-2,8,-3) 1/2 Matrix(319,-1344,61,-257) -> Matrix(1,4,1,5) Matrix(257,-1088,30,-127) -> Matrix(1,2,0,1) 1/0 Matrix(511,-2176,120,-511) -> Matrix(-1,0,6,1) (17/4,64/15) -> (-1/3,0/1) Matrix(449,-1920,105,-449) -> Matrix(1,0,9,-1) (64/15,30/7) -> (0/1,2/9) Matrix(1345,-5888,278,-1217) -> Matrix(3,-2,4,-3) *** -> (1/2,1/1) Matrix(321,-1408,44,-193) -> Matrix(7,-2,10,-3) Matrix(639,-2816,145,-639) -> Matrix(1,0,5,-1) (22/5,128/29) -> (0/1,2/5) Matrix(3073,-13568,696,-3073) -> Matrix(5,-2,12,-5) (128/29,53/12) -> (1/3,1/2) Matrix(2239,-9984,416,-1855) -> Matrix(5,-6,4,-5) *** -> (1/1,3/2) Matrix(127,-576,28,-127) -> Matrix(5,-2,12,-5) (9/2,32/7) -> (1/3,1/2) Matrix(321,-1472,70,-321) -> Matrix(23,-12,44,-23) (32/7,23/5) -> (1/2,6/11) Matrix(1025,-4736,166,-767) -> Matrix(7,-4,16,-9) 1/2 Matrix(833,-3968,148,-705) -> Matrix(3,-2,-2,1) Matrix(4159,-20160,858,-4159) -> Matrix(11,-6,20,-11) (63/13,160/33) -> (1/2,3/5) Matrix(6401,-31040,1320,-6401) -> Matrix(19,-12,30,-19) (160/33,97/20) -> (3/5,2/3) Matrix(193,-1024,36,-191) -> Matrix(15,-14,14,-13) 1/1 Matrix(511,-2752,83,-447) -> Matrix(5,-6,9,-11) Matrix(319,-1792,34,-191) -> Matrix(1,0,2,-1) *** -> (0/1,1/1) Matrix(639,-3712,110,-639) -> Matrix(-1,0,8,1) (29/5,64/11) -> (-1/4,0/1) Matrix(65,-384,11,-65) -> Matrix(1,0,3,-1) (64/11,6/1) -> (0/1,2/3) Matrix(191,-1216,30,-191) -> Matrix(9,-4,20,-9) (19/3,32/5) -> (2/5,1/2) Matrix(129,-832,20,-129) -> Matrix(11,-6,20,-11) (32/5,13/2) -> (1/2,3/5) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.