INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2160 Minimal number of generators: 361 Number of equivalence classes of cusps: 90 Genus: 136 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -19/2 -8/1 -6/1 -16/3 -19/4 -14/3 -4/1 -18/5 -19/6 -12/5 -19/8 -2/1 -19/10 -95/56 -19/12 -57/37 -19/14 -38/29 -19/16 -38/33 0/1 1/1 19/17 19/16 38/31 19/15 19/14 38/27 19/13 3/2 114/73 19/12 19/11 19/10 2/1 38/17 19/8 152/63 5/2 38/15 304/113 19/7 3/1 19/6 95/29 76/23 27/8 38/11 7/2 18/5 76/21 152/41 19/5 4/1 38/9 17/4 13/3 35/8 9/2 114/25 37/8 14/3 19/4 29/6 5/1 95/18 16/3 43/8 38/7 11/2 17/3 23/4 6/1 25/4 19/3 13/2 7/1 15/2 38/5 23/3 31/4 8/1 9/1 19/2 10/1 21/2 11/1 12/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -11/1 0/1 1/1 -10/1 0/1 -19/2 1/2 -9/1 0/1 1/1 -8/1 0/1 -23/3 -1/1 0/1 -38/5 0/1 -15/2 0/1 1/4 -22/3 2/5 -7/1 0/1 1/1 -13/2 1/3 1/2 -19/3 1/2 -6/1 0/1 -23/4 1/3 3/8 -17/3 2/3 1/1 -28/5 0/1 -11/2 0/1 1/0 -38/7 0/1 -27/5 0/1 1/7 -70/13 0/1 -43/8 0/1 1/4 -16/3 0/1 -21/4 1/4 1/3 -5/1 0/1 1/3 -19/4 1/2 -33/7 4/7 3/5 -47/10 1/2 2/3 -14/3 2/3 -37/8 1/1 1/0 -23/5 1/1 4/3 -55/12 -1/1 1/0 -87/19 -1/1 0/1 -32/7 0/1 -73/16 0/1 1/0 -114/25 0/1 -41/9 0/1 1/1 -9/2 0/1 1/0 -13/3 1/1 2/1 -30/7 0/1 -17/4 -1/2 0/1 -38/9 0/1 -21/5 0/1 1/7 -4/1 0/1 -27/7 1/3 2/5 -23/6 3/7 1/2 -19/5 1/2 -15/4 1/2 2/3 -56/15 2/3 -97/26 1/2 1/1 -41/11 2/3 1/1 -67/18 2/3 3/4 -26/7 4/5 -37/10 1/2 1/1 -11/3 1/1 2/1 -40/11 -2/1 -69/19 -1/3 0/1 -29/8 -1/4 0/1 -18/5 0/1 -43/12 0/1 1/4 -68/19 0/1 -25/7 1/3 2/5 -7/2 0/1 1/0 -38/11 0/1 -31/9 0/1 1/11 -86/25 0/1 -141/41 0/1 1/7 -55/16 1/8 1/7 -24/7 0/1 -41/12 0/1 1/2 -17/5 0/1 1/5 -61/18 1/4 2/7 -105/31 2/7 1/3 -44/13 2/7 -27/8 1/3 3/8 -64/19 0/1 -37/11 2/7 1/3 -10/3 0/1 -33/10 0/1 1/6 -56/17 0/1 -23/7 0/1 1/3 -13/4 1/3 3/8 -16/5 2/5 -19/6 1/2 -3/1 0/1 1/1 -20/7 0/1 -17/6 0/1 1/4 -14/5 0/1 -39/14 3/10 1/3 -64/23 6/19 -25/9 1/3 8/23 -11/4 2/5 1/2 -19/7 1/2 -27/10 1/2 5/9 -62/23 4/7 -97/36 7/12 3/5 -35/13 4/7 3/5 -43/16 5/8 2/3 -8/3 2/3 -37/14 1/1 3/2 -29/11 0/1 1/1 -108/41 0/1 -79/30 0/1 1/2 -50/19 0/1 -21/8 3/4 1/1 -34/13 2/1 -115/44 1/1 9/8 -81/31 1/1 4/3 -47/18 3/2 2/1 -13/5 0/1 1/1 -44/17 -2/1 -119/46 -2/1 -3/2 -75/29 -1/1 -4/5 -31/12 -1/1 1/0 -18/7 0/1 -77/30 0/1 1/0 -59/23 0/1 1/1 -41/16 -1/2 0/1 -23/9 -2/1 -1/1 -51/20 -1/2 0/1 -28/11 0/1 -33/13 -1/11 0/1 -38/15 0/1 -5/2 0/1 1/4 -22/9 2/5 -39/16 1/3 3/8 -17/7 0/1 1/3 -29/12 3/8 2/5 -70/29 2/5 -41/17 2/5 7/17 -12/5 2/5 -19/8 1/2 -26/11 6/11 -59/25 4/7 3/5 -92/39 4/7 -33/14 1/2 4/7 -73/31 10/17 3/5 -113/48 43/72 3/5 -40/17 8/13 -7/3 2/3 1/1 -37/16 1/1 1/0 -30/13 4/5 -23/10 1/1 7/6 -39/17 1/1 4/3 -94/41 2/1 -55/24 1/1 1/0 -16/7 2/1 -41/18 -4/1 1/0 -107/47 -7/3 -2/1 -66/29 -2/1 -25/11 -1/1 -2/3 -9/4 -1/2 0/1 -38/17 0/1 -29/13 0/1 1/15 -20/9 0/1 -31/14 1/6 1/5 -73/33 2/11 1/5 -115/52 1/5 9/44 -42/19 2/9 -11/5 0/1 1/5 -24/11 2/7 -37/17 4/13 1/3 -13/6 1/3 5/14 -15/7 1/3 2/5 -2/1 0/1 -19/10 1/2 -17/9 5/9 4/7 -15/8 1/2 2/3 -28/15 2/3 -13/7 6/7 1/1 -11/6 0/1 1/0 -9/5 0/1 1/5 -43/24 1/4 2/7 -77/43 8/25 1/3 -34/19 0/1 -59/33 0/1 1/7 -25/14 0/1 1/4 -66/37 0/1 -41/23 1/5 2/9 -57/32 1/4 -16/9 2/7 -39/22 3/10 1/3 -23/13 6/19 1/3 -7/4 2/5 1/2 -19/11 1/2 -31/18 1/2 9/17 -74/43 22/41 -43/25 6/11 5/9 -55/32 11/20 5/9 -12/7 4/7 -41/24 9/14 2/3 -29/17 2/3 1/1 -46/27 2/3 -17/10 2/3 3/4 -56/33 2/3 -95/56 3/4 -134/79 4/5 -39/23 2/3 1/1 -100/59 0/1 -61/36 1/2 2/3 -22/13 4/5 -27/16 1/1 5/4 -32/19 0/1 -5/3 0/1 1/1 -23/14 1/3 1/2 -87/53 0/1 1/1 -151/92 0/1 1/2 -64/39 0/1 -41/25 0/1 1/5 -18/11 0/1 -67/41 0/1 1/11 -49/30 1/6 1/5 -80/49 2/7 -191/117 10/31 1/3 -111/68 2/5 1/2 -31/19 0/1 1/5 -13/8 1/4 1/3 -21/13 1/3 4/11 -29/18 2/5 1/2 -95/59 1/2 -66/41 0/1 -37/23 2/7 1/3 -45/28 1/3 3/8 -8/5 2/5 -19/12 1/2 -30/19 10/19 -71/45 8/15 23/43 -112/71 36/67 -265/168 155/288 7/13 -418/265 7/13 -153/97 7/13 90/167 -41/26 13/24 6/11 -52/33 6/11 -11/7 4/7 3/5 -36/23 0/1 -97/62 1/2 5/9 -61/39 3/5 8/13 -25/16 1/2 2/3 -114/73 2/3 -89/57 2/3 5/7 -153/98 2/3 3/4 -64/41 2/3 -39/25 0/1 1/1 -14/9 2/3 -31/20 1/1 1/0 -79/51 1/1 2/1 -48/31 0/1 -17/11 2/3 1/1 -37/24 1/1 1/0 -57/37 1/0 -77/50 0/1 1/0 -20/13 0/1 -23/15 0/1 1/3 -26/17 0/1 -3/2 0/1 1/2 -19/13 1/2 -35/24 1/2 12/23 -16/11 6/11 -45/31 4/7 3/5 -29/20 4/7 7/12 -13/9 3/5 2/3 -75/52 1/2 2/3 -62/43 2/3 -49/34 1/2 3/5 -36/25 0/1 -95/66 1/2 -59/41 6/11 5/9 -23/16 3/5 5/8 -33/23 7/11 2/3 -76/53 2/3 -43/30 2/3 7/10 -10/7 2/3 -57/40 3/4 -47/33 4/5 1/1 -37/26 1/2 1/1 -27/19 4/5 1/1 -17/12 1/2 2/3 -24/17 2/3 -31/22 5/6 1/1 -38/27 1/1 -7/5 0/1 1/1 -39/28 3/4 1/1 -71/51 1/1 2/1 -32/23 2/1 -57/41 1/0 -25/18 0/1 1/0 -68/49 2/1 -43/31 -1/3 0/1 -104/75 0/1 -61/44 0/1 1/2 -18/13 0/1 -47/34 -1/6 0/1 -76/55 0/1 -29/21 0/1 1/7 -11/8 0/1 1/2 -48/35 0/1 -37/27 2/7 1/3 -63/46 11/34 1/3 -152/111 1/3 -89/65 1/3 18/53 -26/19 4/11 -41/30 2/5 5/12 -15/11 3/7 4/9 -19/14 1/2 -23/17 7/13 6/11 -50/37 6/11 -27/20 5/9 9/16 -4/3 2/3 -21/16 7/8 1/1 -38/29 1/1 -17/13 1/1 4/3 -13/10 1/2 1/1 -22/17 0/1 -97/75 0/1 1/1 -75/58 0/1 1/0 -53/41 -1/1 0/1 -84/65 0/1 -31/24 1/1 1/0 -40/31 -2/3 -49/38 -1/2 -1/3 -9/7 0/1 1/3 -41/32 -1/2 0/1 -114/89 0/1 -73/57 0/1 1/11 -32/25 0/1 -23/18 3/10 1/3 -37/29 0/1 1/3 -14/11 2/5 -61/48 4/9 1/2 -47/37 3/7 4/9 -33/26 6/13 1/2 -19/15 1/2 -5/4 1/2 2/3 -16/13 4/5 -27/22 13/14 1/1 -38/31 1/1 -11/9 1/1 4/3 -17/14 2/1 1/0 -57/47 1/0 -97/80 -7/1 1/0 -40/33 -2/1 -23/19 -1/1 0/1 -75/62 0/1 1/0 -52/43 0/1 -29/24 0/1 1/0 -6/5 0/1 -19/16 1/2 -32/27 6/11 -13/11 4/7 3/5 -7/6 2/3 3/4 -15/13 10/11 1/1 -38/33 1/1 -23/20 1/1 13/12 -8/7 2/1 -25/22 0/1 1/0 -17/15 0/1 1/3 -26/23 2/3 -9/8 0/1 1/2 -19/17 1/2 -10/9 2/3 -1/1 0/1 1/1 0/1 0/1 1/1 0/1 1/3 10/9 2/5 19/17 1/2 9/8 0/1 1/2 17/15 0/1 1/1 8/7 2/7 7/6 3/8 2/5 13/11 3/7 4/9 19/16 1/2 6/5 0/1 29/24 0/1 1/4 23/19 0/1 1/5 17/14 1/4 2/7 11/9 4/13 1/3 38/31 1/3 27/22 1/3 13/38 16/13 4/11 5/4 2/5 1/2 19/15 1/2 33/26 1/2 6/11 47/37 4/7 3/5 61/48 1/2 4/7 14/11 2/3 37/29 0/1 1/1 23/18 1/1 3/2 32/25 0/1 9/7 0/1 1/1 40/31 2/11 31/24 1/4 1/3 53/41 0/1 1/5 75/58 0/1 1/4 22/17 0/1 13/10 1/3 1/2 4/3 2/5 19/14 1/2 34/25 8/15 49/36 11/20 5/9 15/11 4/7 3/5 41/30 5/8 2/3 26/19 4/5 63/46 1/1 11/10 37/27 1/1 2/1 11/8 0/1 1/2 18/13 0/1 61/44 0/1 1/2 43/31 0/1 1/7 68/49 2/7 25/18 0/1 1/4 32/23 2/7 39/28 1/3 3/8 7/5 0/1 1/3 38/27 1/3 31/22 1/3 5/14 24/17 2/5 17/12 2/5 1/2 27/19 1/3 4/11 37/26 1/3 1/2 10/7 2/5 23/16 5/12 3/7 36/25 0/1 49/34 3/7 1/2 13/9 2/5 3/7 29/20 7/16 4/9 45/31 3/7 4/9 16/11 6/13 19/13 1/2 3/2 0/1 1/2 23/15 0/1 1/1 20/13 0/1 17/11 1/3 2/5 31/20 1/4 1/3 14/9 2/5 39/25 0/1 1/3 64/41 2/5 153/98 3/8 2/5 89/57 5/13 2/5 114/73 2/5 25/16 2/5 1/2 61/39 8/19 3/7 36/23 0/1 11/7 3/7 4/9 19/12 1/2 27/17 9/17 8/15 35/22 6/11 11/20 43/27 13/23 4/7 8/5 2/3 45/28 3/4 1/1 37/23 1/1 2/1 29/18 1/2 2/3 21/13 4/5 1/1 34/21 2/1 13/8 1/1 1/0 31/19 -1/1 0/1 111/68 1/2 2/3 80/49 2/1 49/30 -1/1 -1/2 18/11 0/1 41/25 -1/1 0/1 23/14 1/2 1/1 28/17 0/1 5/3 0/1 1/3 27/16 5/16 1/3 22/13 4/11 61/36 2/5 1/2 39/23 1/3 2/5 17/10 3/8 2/5 46/27 2/5 29/17 1/3 2/5 70/41 2/5 41/24 2/5 9/22 12/7 4/9 43/25 5/11 6/13 117/68 20/43 27/58 191/111 104/223 7/15 74/43 22/47 31/18 9/19 1/2 19/11 1/2 7/4 1/2 2/3 30/17 6/7 23/13 1/1 6/5 39/22 1/1 3/2 16/9 2/1 41/23 -2/1 -1/1 66/37 0/1 25/14 0/1 1/0 34/19 0/1 111/62 3/4 4/5 77/43 1/1 8/7 43/24 2/1 1/0 9/5 -1/1 0/1 20/11 0/1 11/6 0/1 1/4 13/7 1/3 6/17 28/15 2/5 15/8 2/5 1/2 17/9 4/9 5/11 19/10 1/2 2/1 0/1 13/6 5/6 1/1 37/17 1/1 4/3 61/28 4/3 3/2 24/11 2/1 11/5 -1/1 0/1 20/9 0/1 49/22 -1/5 -1/6 78/35 -2/13 29/13 -1/11 0/1 38/17 0/1 9/4 0/1 1/6 16/7 2/7 39/17 4/13 1/3 23/10 7/22 1/3 76/33 1/3 53/23 1/3 16/47 30/13 4/11 7/3 1/3 2/5 19/8 1/2 31/13 7/13 6/11 74/31 16/29 43/18 1/2 4/7 55/23 5/9 4/7 12/5 2/3 53/22 1/2 3/5 41/17 7/11 2/3 152/63 2/3 111/46 2/3 19/28 70/29 2/3 29/12 2/3 3/4 17/7 0/1 1/1 56/23 2/3 95/39 3/4 39/16 3/4 1/1 22/9 2/3 5/2 0/1 1/0 38/15 0/1 33/13 0/1 1/15 61/24 0/1 1/10 28/11 0/1 51/20 0/1 1/6 23/9 1/5 2/9 41/16 0/1 1/6 18/7 0/1 49/19 0/1 1/5 80/31 2/11 111/43 1/5 2/9 31/12 1/5 1/4 75/29 4/21 1/5 119/46 3/14 2/9 44/17 2/9 57/22 1/4 13/5 0/1 1/3 47/18 2/7 3/10 81/31 4/13 1/3 115/44 9/28 1/3 149/57 1/3 2/5 34/13 2/7 55/21 8/25 1/3 76/29 1/3 21/8 1/3 3/8 50/19 0/1 129/49 0/1 1/1 79/30 0/1 1/2 108/41 0/1 29/11 0/1 1/3 95/36 1/4 66/25 2/7 37/14 3/10 1/3 45/17 0/1 1/3 8/3 2/5 43/16 2/5 5/12 78/29 14/33 191/71 68/159 3/7 304/113 3/7 113/42 3/7 37/86 35/13 3/7 4/9 62/23 4/9 151/56 4/9 1/2 89/33 4/9 5/11 27/10 5/11 1/2 19/7 1/2 11/4 1/2 2/3 25/9 8/9 1/1 39/14 1/1 3/2 14/5 0/1 17/6 0/1 1/0 37/13 0/1 1/1 57/20 1/0 20/7 0/1 3/1 0/1 1/3 19/6 1/2 35/11 6/11 5/9 16/5 2/3 13/4 3/4 1/1 36/11 2/1 95/29 1/0 59/18 -2/1 1/0 23/7 0/1 1/1 33/10 -1/2 0/1 76/23 0/1 43/13 0/1 1/5 10/3 0/1 57/17 1/2 47/14 1/2 2/3 37/11 1/1 2/1 64/19 0/1 91/27 0/1 1/3 27/8 3/4 1/1 71/21 1/1 2/1 115/34 1/1 7/6 44/13 2/1 105/31 1/1 2/1 61/18 2/1 1/0 17/5 -1/1 0/1 75/22 0/1 1/0 133/39 1/0 58/17 0/1 41/12 0/1 1/2 65/19 -3/1 -2/1 24/7 0/1 79/23 -1/3 0/1 55/16 -1/3 -1/4 86/25 0/1 31/9 -1/7 0/1 38/11 0/1 7/2 0/1 1/4 25/7 2/3 1/1 43/12 0/1 1/0 61/17 0/1 1/3 18/5 0/1 47/13 -1/5 0/1 76/21 0/1 29/8 0/1 1/8 69/19 0/1 1/7 40/11 2/9 11/3 2/7 1/3 37/10 1/3 1/2 63/17 10/31 1/3 152/41 1/3 89/24 1/3 19/56 26/7 4/11 93/25 5/13 2/5 67/18 3/8 2/5 41/11 1/3 2/5 97/26 1/3 1/2 56/15 2/5 15/4 2/5 1/2 19/5 1/2 23/6 1/2 3/5 50/13 2/3 27/7 2/3 1/1 4/1 0/1 25/6 0/1 1/0 46/11 -2/1 21/5 -1/3 0/1 38/9 0/1 17/4 0/1 1/6 30/7 0/1 43/10 0/1 1/2 13/3 2/7 1/3 48/11 2/5 83/19 2/5 7/17 35/8 4/9 1/2 57/13 1/2 22/5 2/3 9/2 0/1 1/4 41/9 0/1 1/3 114/25 0/1 73/16 0/1 1/4 32/7 0/1 87/19 0/1 1/5 55/12 1/5 1/4 133/29 1/4 78/17 4/15 23/5 4/13 1/3 37/8 1/4 1/3 14/3 2/5 19/4 1/2 24/5 2/3 77/16 1/2 2/3 53/11 2/3 1/1 29/6 1/2 2/3 5/1 0/1 1/1 26/5 2/3 21/4 1/1 1/0 58/11 0/1 95/18 1/2 37/7 2/3 1/1 16/3 0/1 75/14 0/1 1/0 59/11 -1/1 0/1 43/8 0/1 1/0 70/13 0/1 27/5 -1/3 0/1 38/7 0/1 11/2 0/1 1/4 39/7 1/3 2/5 28/5 0/1 73/13 2/7 1/3 45/8 1/4 1/3 17/3 1/3 2/5 57/10 1/2 40/7 4/7 23/4 3/4 1/1 6/1 0/1 25/4 2/5 1/2 19/3 1/2 13/2 1/2 1/1 7/1 0/1 1/3 22/3 2/3 15/2 0/1 1/0 38/5 0/1 23/3 0/1 1/5 31/4 1/4 1/3 8/1 0/1 9/1 0/1 1/3 19/2 1/2 10/1 0/1 21/2 1/3 1/2 11/1 0/1 1/3 12/1 0/1 1/0 0/1 1/2 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(151,1748,-92,-1065) (-11/1,1/0) -> (-87/53,-151/92) Hyperbolic Matrix(227,2356,-66,-685) (-11/1,-10/1) -> (-86/25,-141/41) Hyperbolic Matrix(227,2204,86,835) (-10/1,-19/2) -> (95/36,66/25) Hyperbolic Matrix(153,1406,58,533) (-19/2,-9/1) -> (29/11,95/36) Hyperbolic Matrix(75,646,44,379) (-9/1,-8/1) -> (46/27,29/17) Hyperbolic Matrix(305,2356,-236,-1823) (-8/1,-23/3) -> (-53/41,-84/65) Hyperbolic Matrix(229,1748,30,229) (-23/3,-38/5) -> (38/5,23/3) Hyperbolic Matrix(151,1140,20,151) (-38/5,-15/2) -> (15/2,38/5) Hyperbolic Matrix(227,1672,134,987) (-15/2,-22/3) -> (22/13,61/36) Hyperbolic Matrix(151,1102,104,759) (-22/3,-7/1) -> (45/31,16/11) Hyperbolic Matrix(75,494,46,303) (-7/1,-13/2) -> (13/8,31/19) Hyperbolic Matrix(77,494,12,77) (-13/2,-19/3) -> (19/3,13/2) Hyperbolic Matrix(153,950,-110,-683) (-19/3,-6/1) -> (-32/23,-57/41) Hyperbolic Matrix(151,874,118,683) (-6/1,-23/4) -> (23/18,32/25) Hyperbolic Matrix(305,1748,-212,-1215) (-23/4,-17/3) -> (-59/41,-23/16) Hyperbolic Matrix(229,1292,-148,-835) (-17/3,-28/5) -> (-48/31,-17/11) Hyperbolic Matrix(151,836,-110,-609) (-28/5,-11/2) -> (-11/8,-48/35) Hyperbolic Matrix(153,836,28,153) (-11/2,-38/7) -> (38/7,11/2) Hyperbolic Matrix(379,2052,70,379) (-38/7,-27/5) -> (27/5,38/7) Hyperbolic Matrix(1291,6954,282,1519) (-27/5,-70/13) -> (32/7,87/19) Hyperbolic Matrix(1899,10222,734,3951) (-70/13,-43/8) -> (119/46,44/17) Hyperbolic Matrix(835,4484,-354,-1901) (-43/8,-16/3) -> (-92/39,-33/14) Hyperbolic Matrix(229,1216,-100,-531) (-16/3,-21/4) -> (-55/24,-16/7) Hyperbolic Matrix(227,1178,-132,-685) (-21/4,-5/1) -> (-43/25,-55/32) Hyperbolic Matrix(151,722,-32,-153) (-5/1,-19/4) -> (-19/4,-33/7) Parabolic Matrix(1139,5358,436,2051) (-33/7,-47/10) -> (47/18,81/31) Hyperbolic Matrix(607,2850,-502,-2357) (-47/10,-14/3) -> (-52/43,-29/24) Hyperbolic Matrix(229,1064,82,381) (-14/3,-37/8) -> (39/14,14/5) Hyperbolic Matrix(379,1748,214,987) (-37/8,-23/5) -> (23/13,39/22) Hyperbolic Matrix(1217,5586,-778,-3571) (-23/5,-55/12) -> (-97/62,-61/39) Hyperbolic Matrix(2737,12540,-796,-3647) (-55/12,-87/19) -> (-141/41,-55/16) Hyperbolic Matrix(1519,6954,282,1291) (-87/19,-32/7) -> (70/13,27/5) Hyperbolic Matrix(2281,10412,866,3953) (-32/7,-73/16) -> (79/30,108/41) Hyperbolic Matrix(3649,16644,800,3649) (-73/16,-114/25) -> (114/25,73/16) Hyperbolic Matrix(2051,9348,450,2051) (-114/25,-41/9) -> (41/9,114/25) Hyperbolic Matrix(685,3116,184,837) (-41/9,-9/2) -> (67/18,41/11) Hyperbolic Matrix(77,342,-34,-151) (-9/2,-13/3) -> (-25/11,-9/4) Hyperbolic Matrix(379,1634,-106,-457) (-13/3,-30/7) -> (-68/19,-25/7) Hyperbolic Matrix(303,1292,178,759) (-30/7,-17/4) -> (17/10,46/27) Hyperbolic Matrix(305,1292,72,305) (-17/4,-38/9) -> (38/9,17/4) Hyperbolic Matrix(379,1596,90,379) (-38/9,-21/5) -> (21/5,38/9) Hyperbolic Matrix(229,950,-128,-531) (-21/5,-4/1) -> (-34/19,-59/33) Hyperbolic Matrix(609,2356,236,913) (-4/1,-27/7) -> (49/19,80/31) Hyperbolic Matrix(683,2622,-416,-1597) (-27/7,-23/6) -> (-23/14,-87/53) Hyperbolic Matrix(229,874,60,229) (-23/6,-19/5) -> (19/5,23/6) Hyperbolic Matrix(151,570,40,151) (-19/5,-15/4) -> (15/4,19/5) Hyperbolic Matrix(987,3686,712,2659) (-15/4,-56/15) -> (18/13,61/44) Hyperbolic Matrix(1823,6802,346,1291) (-56/15,-97/26) -> (21/4,58/11) Hyperbolic Matrix(2659,9918,774,2887) (-97/26,-41/11) -> (79/23,55/16) Hyperbolic Matrix(837,3116,184,685) (-41/11,-67/18) -> (9/2,41/9) Hyperbolic Matrix(531,1976,-470,-1749) (-67/18,-26/7) -> (-26/23,-9/8) Hyperbolic Matrix(913,3382,-328,-1215) (-26/7,-37/10) -> (-39/14,-64/23) Hyperbolic Matrix(381,1406,268,989) (-37/10,-11/3) -> (27/19,37/26) Hyperbolic Matrix(229,836,146,533) (-11/3,-40/11) -> (36/23,11/7) Hyperbolic Matrix(1747,6346,732,2659) (-40/11,-69/19) -> (31/13,74/31) Hyperbolic Matrix(911,3306,628,2279) (-69/19,-29/8) -> (29/20,45/31) Hyperbolic Matrix(379,1368,-274,-989) (-29/8,-18/5) -> (-18/13,-47/34) Hyperbolic Matrix(837,3002,-254,-911) (-18/5,-43/12) -> (-33/10,-56/17) Hyperbolic Matrix(913,3268,340,1217) (-43/12,-68/19) -> (8/3,43/16) Hyperbolic Matrix(75,266,64,227) (-25/7,-7/2) -> (7/6,13/11) Hyperbolic Matrix(153,532,44,153) (-7/2,-38/11) -> (38/11,7/2) Hyperbolic Matrix(683,2356,198,683) (-38/11,-31/9) -> (31/9,38/11) Hyperbolic Matrix(2507,8626,574,1975) (-31/9,-86/25) -> (48/11,83/19) Hyperbolic Matrix(1671,5738,-620,-2129) (-55/16,-24/7) -> (-62/23,-97/36) Hyperbolic Matrix(911,3116,-578,-1977) (-24/7,-41/12) -> (-41/26,-52/33) Hyperbolic Matrix(913,3116,-356,-1215) (-41/12,-17/5) -> (-59/23,-41/16) Hyperbolic Matrix(381,1292,202,685) (-17/5,-61/18) -> (15/8,17/9) Hyperbolic Matrix(2737,9272,2154,7297) (-61/18,-105/31) -> (47/37,61/48) Hyperbolic Matrix(3725,12616,1414,4789) (-105/31,-44/13) -> (108/41,29/11) Hyperbolic Matrix(607,2052,-360,-1217) (-44/13,-27/8) -> (-27/16,-32/19) Hyperbolic Matrix(913,3078,-676,-2279) (-27/8,-64/19) -> (-50/37,-27/20) Hyperbolic Matrix(1445,4864,926,3117) (-64/19,-37/11) -> (39/25,64/41) Hyperbolic Matrix(837,2812,-520,-1747) (-37/11,-10/3) -> (-66/41,-37/23) Hyperbolic Matrix(229,760,-160,-531) (-10/3,-33/10) -> (-43/30,-10/7) Hyperbolic Matrix(531,1748,346,1139) (-56/17,-23/7) -> (23/15,20/13) Hyperbolic Matrix(151,494,-70,-229) (-23/7,-13/4) -> (-13/6,-15/7) Hyperbolic Matrix(153,494,118,381) (-13/4,-16/5) -> (22/17,13/10) Hyperbolic Matrix(381,1216,-214,-683) (-16/5,-19/6) -> (-57/32,-16/9) Hyperbolic Matrix(303,950,-170,-533) (-19/6,-3/1) -> (-41/23,-57/32) Hyperbolic Matrix(305,874,186,533) (-3/1,-20/7) -> (18/11,41/25) Hyperbolic Matrix(455,1292,-268,-761) (-20/7,-17/6) -> (-17/10,-56/33) Hyperbolic Matrix(229,646,162,457) (-17/6,-14/5) -> (24/17,17/12) Hyperbolic Matrix(381,1064,82,229) (-14/5,-39/14) -> (37/8,14/3) Hyperbolic Matrix(2281,6346,-1666,-4635) (-64/23,-25/9) -> (-89/65,-26/19) Hyperbolic Matrix(151,418,82,227) (-25/9,-11/4) -> (11/6,13/7) Hyperbolic Matrix(153,418,56,153) (-11/4,-19/7) -> (19/7,11/4) Hyperbolic Matrix(379,1026,140,379) (-19/7,-27/10) -> (27/10,19/7) Hyperbolic Matrix(1747,4712,-1212,-3269) (-27/10,-62/23) -> (-62/43,-49/34) Hyperbolic Matrix(2737,7372,734,1977) (-97/36,-35/13) -> (41/11,97/26) Hyperbolic Matrix(1597,4294,-678,-1823) (-35/13,-43/16) -> (-33/14,-73/31) Hyperbolic Matrix(609,1634,142,381) (-43/16,-8/3) -> (30/7,43/10) Hyperbolic Matrix(531,1406,-230,-609) (-8/3,-37/14) -> (-37/16,-30/13) Hyperbolic Matrix(1065,2812,-748,-1975) (-37/14,-29/11) -> (-47/33,-37/26) Hyperbolic Matrix(4789,12616,1414,3725) (-29/11,-108/41) -> (44/13,105/31) Hyperbolic Matrix(3953,10412,866,2281) (-108/41,-79/30) -> (73/16,32/7) Hyperbolic Matrix(837,2204,-548,-1443) (-79/30,-50/19) -> (-26/17,-3/2) Hyperbolic Matrix(1141,3002,-664,-1747) (-50/19,-21/8) -> (-55/32,-12/7) Hyperbolic Matrix(305,798,-232,-607) (-21/8,-34/13) -> (-4/3,-21/16) Hyperbolic Matrix(3343,8740,-1512,-3953) (-34/13,-115/44) -> (-115/52,-42/19) Hyperbolic Matrix(6689,17480,1978,5169) (-115/44,-81/31) -> (71/21,115/34) Hyperbolic Matrix(989,2584,204,533) (-81/31,-47/18) -> (29/6,5/1) Hyperbolic Matrix(379,988,262,683) (-47/18,-13/5) -> (13/9,29/20) Hyperbolic Matrix(381,988,-322,-835) (-13/5,-44/17) -> (-32/27,-13/11) Hyperbolic Matrix(3951,10222,734,1899) (-44/17,-119/46) -> (43/8,70/13) Hyperbolic Matrix(4789,12388,2674,6917) (-119/46,-75/29) -> (77/43,43/24) Hyperbolic Matrix(1749,4522,1088,2813) (-75/29,-31/12) -> (45/28,37/23) Hyperbolic Matrix(457,1178,-206,-531) (-31/12,-18/7) -> (-20/9,-31/14) Hyperbolic Matrix(1139,2926,-740,-1901) (-18/7,-77/30) -> (-77/50,-20/13) Hyperbolic Matrix(4635,11894,-3584,-9197) (-77/30,-59/23) -> (-97/75,-75/58) Hyperbolic Matrix(609,1558,446,1141) (-41/16,-23/9) -> (15/11,41/30) Hyperbolic Matrix(1445,3686,924,2357) (-23/9,-51/20) -> (25/16,61/39) Hyperbolic Matrix(1595,4066,894,2279) (-51/20,-28/11) -> (66/37,25/14) Hyperbolic Matrix(1825,4636,-1316,-3343) (-28/11,-33/13) -> (-43/31,-104/75) Hyperbolic Matrix(989,2508,390,989) (-33/13,-38/15) -> (38/15,33/13) Hyperbolic Matrix(151,380,60,151) (-38/15,-5/2) -> (5/2,38/15) Hyperbolic Matrix(77,190,62,153) (-5/2,-22/9) -> (16/13,5/4) Hyperbolic Matrix(607,1482,342,835) (-22/9,-39/16) -> (39/22,16/9) Hyperbolic Matrix(531,1292,-344,-837) (-39/16,-17/7) -> (-17/11,-37/24) Hyperbolic Matrix(455,1102,282,683) (-17/7,-29/12) -> (29/18,21/13) Hyperbolic Matrix(913,2204,756,1825) (-29/12,-70/29) -> (6/5,29/24) Hyperbolic Matrix(2661,6422,-2078,-5015) (-70/29,-41/17) -> (-73/57,-32/25) Hyperbolic Matrix(1293,3116,-788,-1899) (-41/17,-12/5) -> (-64/39,-41/25) Hyperbolic Matrix(303,722,-128,-305) (-12/5,-19/8) -> (-19/8,-26/11) Parabolic Matrix(837,1976,-740,-1747) (-26/11,-59/25) -> (-17/15,-26/23) Hyperbolic Matrix(4333,10222,-3350,-7903) (-59/25,-92/39) -> (-22/17,-97/75) Hyperbolic Matrix(10717,25232,4100,9653) (-73/31,-113/48) -> (115/44,149/57) Hyperbolic Matrix(9881,23256,-6264,-14743) (-113/48,-40/17) -> (-112/71,-265/168) Hyperbolic Matrix(1293,3040,356,837) (-40/17,-7/3) -> (69/19,40/11) Hyperbolic Matrix(229,532,164,381) (-7/3,-37/16) -> (39/28,7/5) Hyperbolic Matrix(379,874,-330,-761) (-30/13,-23/10) -> (-23/20,-8/7) Hyperbolic Matrix(761,1748,596,1369) (-23/10,-39/17) -> (37/29,23/18) Hyperbolic Matrix(3877,8892,-2286,-5243) (-39/17,-94/41) -> (-134/79,-39/23) Hyperbolic Matrix(5321,12198,1426,3269) (-94/41,-55/24) -> (97/26,56/15) Hyperbolic Matrix(533,1216,-366,-835) (-16/7,-41/18) -> (-35/24,-16/11) Hyperbolic Matrix(5775,13148,3538,8055) (-41/18,-107/47) -> (31/19,111/68) Hyperbolic Matrix(4941,11248,1436,3269) (-107/47,-66/29) -> (86/25,31/9) Hyperbolic Matrix(685,1558,368,837) (-66/29,-25/11) -> (13/7,28/15) Hyperbolic Matrix(305,684,136,305) (-9/4,-38/17) -> (38/17,9/4) Hyperbolic Matrix(987,2204,442,987) (-38/17,-29/13) -> (29/13,38/17) Hyperbolic Matrix(837,1862,-512,-1139) (-29/13,-20/9) -> (-18/11,-67/41) Hyperbolic Matrix(2507,5548,446,987) (-31/14,-73/33) -> (73/13,45/8) Hyperbolic Matrix(5549,12274,2062,4561) (-73/33,-115/52) -> (113/42,35/13) Hyperbolic Matrix(533,1178,138,305) (-42/19,-11/5) -> (27/7,4/1) Hyperbolic Matrix(381,836,-242,-531) (-11/5,-24/11) -> (-52/33,-11/7) Hyperbolic Matrix(2129,4636,-1256,-2735) (-24/11,-37/17) -> (-39/23,-100/59) Hyperbolic Matrix(1293,2812,944,2053) (-37/17,-13/6) -> (63/46,37/27) Hyperbolic Matrix(303,646,-250,-533) (-15/7,-2/1) -> (-40/33,-23/19) Hyperbolic Matrix(457,874,80,153) (-2/1,-19/10) -> (57/10,40/7) Hyperbolic Matrix(683,1292,120,227) (-19/10,-17/9) -> (17/3,57/10) Hyperbolic Matrix(685,1292,202,381) (-17/9,-15/8) -> (61/18,17/5) Hyperbolic Matrix(1747,3268,-1260,-2357) (-15/8,-28/15) -> (-104/75,-61/44) Hyperbolic Matrix(531,988,122,227) (-28/15,-13/7) -> (13/3,48/11) Hyperbolic Matrix(227,418,82,151) (-13/7,-11/6) -> (11/4,25/9) Hyperbolic Matrix(229,418,-166,-303) (-11/6,-9/5) -> (-29/21,-11/8) Hyperbolic Matrix(1293,2318,1018,1825) (-9/5,-43/24) -> (33/26,47/37) Hyperbolic Matrix(6917,12388,2674,4789) (-43/24,-77/43) -> (75/29,119/46) Hyperbolic Matrix(7069,12654,-4330,-7751) (-77/43,-34/19) -> (-80/49,-191/117) Hyperbolic Matrix(1063,1900,-936,-1673) (-59/33,-25/14) -> (-25/22,-17/15) Hyperbolic Matrix(2279,4066,894,1595) (-25/14,-66/37) -> (28/11,51/20) Hyperbolic Matrix(4027,7182,-2600,-4637) (-66/37,-41/23) -> (-79/51,-48/31) Hyperbolic Matrix(835,1482,342,607) (-16/9,-39/22) -> (39/16,22/9) Hyperbolic Matrix(987,1748,214,379) (-39/22,-23/13) -> (23/5,37/8) Hyperbolic Matrix(151,266,-130,-229) (-23/13,-7/4) -> (-7/6,-15/13) Hyperbolic Matrix(153,266,88,153) (-7/4,-19/11) -> (19/11,7/4) Hyperbolic Matrix(683,1178,396,683) (-19/11,-31/18) -> (31/18,19/11) Hyperbolic Matrix(2053,3534,1590,2737) (-31/18,-74/43) -> (40/31,31/24) Hyperbolic Matrix(5853,10070,-3710,-6383) (-74/43,-43/25) -> (-71/45,-112/71) Hyperbolic Matrix(911,1558,666,1139) (-12/7,-41/24) -> (41/30,26/19) Hyperbolic Matrix(913,1558,-712,-1215) (-41/24,-29/17) -> (-9/7,-41/32) Hyperbolic Matrix(379,646,44,75) (-29/17,-46/27) -> (8/1,9/1) Hyperbolic Matrix(759,1292,178,303) (-46/27,-17/10) -> (17/4,30/7) Hyperbolic Matrix(10639,18050,-6272,-10641) (-56/33,-95/56) -> (-95/56,-134/79) Parabolic Matrix(4103,6954,3228,5471) (-100/59,-61/36) -> (61/48,14/11) Hyperbolic Matrix(987,1672,134,227) (-61/36,-22/13) -> (22/3,15/2) Hyperbolic Matrix(607,1026,494,835) (-22/13,-27/16) -> (27/22,16/13) Hyperbolic Matrix(1445,2432,-1038,-1747) (-32/19,-5/3) -> (-71/51,-32/23) Hyperbolic Matrix(531,874,-370,-609) (-5/3,-23/14) -> (-23/16,-33/23) Hyperbolic Matrix(11855,19456,7594,12463) (-151/92,-64/39) -> (64/41,153/98) Hyperbolic Matrix(533,874,186,305) (-41/25,-18/11) -> (20/7,3/1) Hyperbolic Matrix(2279,3724,-1768,-2889) (-67/41,-49/30) -> (-49/38,-9/7) Hyperbolic Matrix(3421,5586,2514,4105) (-49/30,-80/49) -> (34/25,49/36) Hyperbolic Matrix(26677,43548,15504,25309) (-191/117,-111/68) -> (117/68,191/111) Hyperbolic Matrix(6309,10298,1444,2357) (-111/68,-31/19) -> (83/19,35/8) Hyperbolic Matrix(303,494,46,75) (-31/19,-13/8) -> (13/2,7/1) Hyperbolic Matrix(305,494,-234,-379) (-13/8,-21/13) -> (-17/13,-13/10) Hyperbolic Matrix(683,1102,282,455) (-21/13,-29/18) -> (29/12,17/7) Hyperbolic Matrix(3799,6118,1132,1823) (-29/18,-95/59) -> (57/17,47/14) Hyperbolic Matrix(1369,2204,1228,1977) (-95/59,-66/41) -> (10/9,19/17) Hyperbolic Matrix(2813,4522,1088,1749) (-37/23,-45/28) -> (31/12,75/29) Hyperbolic Matrix(2507,4028,-1940,-3117) (-45/28,-8/5) -> (-84/65,-31/24) Hyperbolic Matrix(455,722,-288,-457) (-8/5,-19/12) -> (-19/12,-30/19) Parabolic Matrix(3877,6118,2794,4409) (-30/19,-71/45) -> (43/31,68/49) Hyperbolic Matrix(81017,127794,30114,47501) (-265/168,-418/265) -> (304/113,113/42) Hyperbolic Matrix(80103,126350,29776,46967) (-418/265,-153/97) -> (191/71,304/113) Hyperbolic Matrix(12769,20140,7132,11249) (-153/97,-41/26) -> (111/62,77/43) Hyperbolic Matrix(533,836,146,229) (-11/7,-36/23) -> (40/11,11/3) Hyperbolic Matrix(4711,7372,-3886,-6081) (-36/23,-97/62) -> (-97/80,-40/33) Hyperbolic Matrix(2357,3686,924,1445) (-61/39,-25/16) -> (51/20,23/9) Hyperbolic Matrix(3649,5700,2336,3649) (-25/16,-114/73) -> (114/73,25/16) Hyperbolic Matrix(12995,20292,8322,12995) (-114/73,-89/57) -> (89/57,114/73) Hyperbolic Matrix(17329,27056,6426,10033) (-89/57,-153/98) -> (151/56,89/33) Hyperbolic Matrix(1217,1900,98,153) (-153/98,-64/41) -> (12/1,1/0) Hyperbolic Matrix(3117,4864,926,1445) (-64/41,-39/25) -> (37/11,64/19) Hyperbolic Matrix(683,1064,536,835) (-39/25,-14/9) -> (14/11,37/29) Hyperbolic Matrix(759,1178,538,835) (-14/9,-31/20) -> (31/22,24/17) Hyperbolic Matrix(3801,5890,1472,2281) (-31/20,-79/51) -> (111/43,31/12) Hyperbolic Matrix(3723,5738,1528,2355) (-37/24,-57/37) -> (95/39,39/16) Hyperbolic Matrix(9425,14516,2764,4257) (-57/37,-77/50) -> (75/22,133/39) Hyperbolic Matrix(1063,1634,296,455) (-20/13,-23/15) -> (61/17,18/5) Hyperbolic Matrix(2507,3838,744,1139) (-23/15,-26/17) -> (64/19,91/27) Hyperbolic Matrix(77,114,52,77) (-3/2,-19/13) -> (19/13,3/2) Hyperbolic Matrix(1823,2660,416,607) (-19/13,-35/24) -> (35/8,57/13) Hyperbolic Matrix(759,1102,104,151) (-16/11,-45/31) -> (7/1,22/3) Hyperbolic Matrix(2279,3306,628,911) (-45/31,-29/20) -> (29/8,69/19) Hyperbolic Matrix(683,988,262,379) (-29/20,-13/9) -> (13/5,47/18) Hyperbolic Matrix(6005,8664,3846,5549) (-13/9,-75/52) -> (153/98,89/57) Hyperbolic Matrix(4559,6574,948,1367) (-75/52,-62/43) -> (24/5,77/16) Hyperbolic Matrix(2585,3724,-2004,-2887) (-49/34,-36/25) -> (-40/31,-49/38) Hyperbolic Matrix(607,874,316,455) (-36/25,-95/66) -> (19/10,2/1) Hyperbolic Matrix(1901,2736,1004,1445) (-95/66,-59/41) -> (17/9,19/10) Hyperbolic Matrix(4027,5776,1218,1747) (-33/23,-76/53) -> (76/23,43/13) Hyperbolic Matrix(4029,5776,1220,1749) (-76/53,-43/30) -> (33/10,76/23) Hyperbolic Matrix(533,760,54,77) (-10/7,-57/40) -> (19/2,10/1) Hyperbolic Matrix(987,1406,106,151) (-57/40,-47/33) -> (9/1,19/2) Hyperbolic Matrix(989,1406,268,381) (-37/26,-27/19) -> (11/3,37/10) Hyperbolic Matrix(455,646,374,531) (-27/19,-17/12) -> (17/14,11/9) Hyperbolic Matrix(457,646,162,229) (-17/12,-24/17) -> (14/5,17/6) Hyperbolic Matrix(835,1178,538,759) (-24/17,-31/22) -> (31/20,14/9) Hyperbolic Matrix(1673,2356,1188,1673) (-31/22,-38/27) -> (38/27,31/22) Hyperbolic Matrix(379,532,270,379) (-38/27,-7/5) -> (7/5,38/27) Hyperbolic Matrix(1445,2014,546,761) (-7/5,-39/28) -> (37/14,45/17) Hyperbolic Matrix(8133,11324,3112,4333) (-39/28,-71/51) -> (81/31,115/44) Hyperbolic Matrix(1367,1900,218,303) (-57/41,-25/18) -> (25/4,19/3) Hyperbolic Matrix(1369,1900,-1204,-1671) (-25/18,-68/49) -> (-8/7,-25/22) Hyperbolic Matrix(2355,3268,1478,2051) (-68/49,-43/31) -> (43/27,8/5) Hyperbolic Matrix(2659,3686,712,987) (-61/44,-18/13) -> (56/15,15/4) Hyperbolic Matrix(4179,5776,1154,1595) (-47/34,-76/55) -> (76/21,29/8) Hyperbolic Matrix(4181,5776,1156,1597) (-76/55,-29/21) -> (47/13,76/21) Hyperbolic Matrix(305,418,278,381) (-48/35,-37/27) -> (1/1,10/9) Hyperbolic Matrix(2053,2812,944,1293) (-37/27,-63/46) -> (13/6,37/17) Hyperbolic Matrix(16871,23104,4550,6231) (-63/46,-152/111) -> (152/41,89/24) Hyperbolic Matrix(16873,23104,4552,6233) (-152/111,-89/65) -> (63/17,152/41) Hyperbolic Matrix(1139,1558,666,911) (-26/19,-41/30) -> (41/24,12/7) Hyperbolic Matrix(1141,1558,446,609) (-41/30,-15/11) -> (23/9,41/16) Hyperbolic Matrix(531,722,-392,-533) (-15/11,-19/14) -> (-19/14,-23/17) Parabolic Matrix(5623,7600,2136,2887) (-23/17,-50/37) -> (50/19,129/49) Hyperbolic Matrix(1747,2356,1070,1443) (-27/20,-4/3) -> (80/49,49/30) Hyperbolic Matrix(1825,2394,696,913) (-21/16,-38/29) -> (76/29,21/8) Hyperbolic Matrix(2583,3382,986,1291) (-38/29,-17/13) -> (55/21,76/29) Hyperbolic Matrix(381,494,118,153) (-13/10,-22/17) -> (16/5,13/4) Hyperbolic Matrix(4409,5700,-3644,-4711) (-75/58,-53/41) -> (-23/19,-75/62) Hyperbolic Matrix(2737,3534,1590,2053) (-31/24,-40/31) -> (74/43,31/18) Hyperbolic Matrix(14743,18886,6110,7827) (-41/32,-114/89) -> (152/63,111/46) Hyperbolic Matrix(12313,15770,5104,6537) (-114/89,-73/57) -> (41/17,152/63) Hyperbolic Matrix(683,874,118,151) (-32/25,-23/18) -> (23/4,6/1) Hyperbolic Matrix(1369,1748,596,761) (-23/18,-37/29) -> (39/17,23/10) Hyperbolic Matrix(835,1064,536,683) (-37/29,-14/11) -> (14/9,39/25) Hyperbolic Matrix(1823,2318,836,1063) (-14/11,-61/48) -> (61/28,24/11) Hyperbolic Matrix(7297,9272,2154,2737) (-61/48,-47/37) -> (105/31,61/18) Hyperbolic Matrix(1825,2318,1018,1293) (-47/37,-33/26) -> (43/24,9/5) Hyperbolic Matrix(989,1254,780,989) (-33/26,-19/15) -> (19/15,33/26) Hyperbolic Matrix(151,190,120,151) (-19/15,-5/4) -> (5/4,19/15) Hyperbolic Matrix(153,190,62,77) (-5/4,-16/13) -> (22/9,5/2) Hyperbolic Matrix(835,1026,494,607) (-16/13,-27/22) -> (27/16,22/13) Hyperbolic Matrix(1673,2052,1364,1673) (-27/22,-38/31) -> (38/31,27/22) Hyperbolic Matrix(683,836,558,683) (-38/31,-11/9) -> (11/9,38/31) Hyperbolic Matrix(531,646,374,455) (-11/9,-17/14) -> (17/12,27/19) Hyperbolic Matrix(4103,4978,1252,1519) (-17/14,-57/47) -> (95/29,59/18) Hyperbolic Matrix(13225,16036,2884,3497) (-57/47,-97/80) -> (55/12,133/29) Hyperbolic Matrix(10337,12502,3834,4637) (-75/62,-52/43) -> (62/23,151/56) Hyperbolic Matrix(1825,2204,756,913) (-29/24,-6/5) -> (70/29,29/12) Hyperbolic Matrix(607,722,-512,-609) (-6/5,-19/16) -> (-19/16,-32/27) Parabolic Matrix(227,266,64,75) (-13/11,-7/6) -> (7/2,25/7) Hyperbolic Matrix(2737,3154,1188,1369) (-15/13,-38/33) -> (76/33,53/23) Hyperbolic Matrix(2279,2622,990,1139) (-38/33,-23/20) -> (23/10,76/33) Hyperbolic Matrix(305,342,272,305) (-9/8,-19/17) -> (19/17,9/8) Hyperbolic Matrix(683,760,204,227) (-19/17,-10/9) -> (10/3,57/17) Hyperbolic Matrix(379,418,68,75) (-10/9,-1/1) -> (39/7,28/5) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(1749,-1976,470,-531) (9/8,17/15) -> (93/25,67/18) Hyperbolic Matrix(837,-950,200,-227) (17/15,8/7) -> (46/11,21/5) Hyperbolic Matrix(229,-266,130,-151) (8/7,7/6) -> (7/4,30/17) Hyperbolic Matrix(835,-988,322,-381) (13/11,19/16) -> (57/22,13/5) Hyperbolic Matrix(989,-1178,382,-455) (19/16,6/5) -> (44/17,57/22) Hyperbolic Matrix(1823,-2204,378,-457) (29/24,23/19) -> (53/11,29/6) Hyperbolic Matrix(1443,-1748,440,-533) (23/19,17/14) -> (59/18,23/7) Hyperbolic Matrix(1215,-1558,712,-913) (32/25,9/7) -> (29/17,70/41) Hyperbolic Matrix(1445,-1862,648,-835) (9/7,40/31) -> (78/35,29/13) Hyperbolic Matrix(1823,-2356,236,-305) (31/24,53/41) -> (23/3,31/4) Hyperbolic Matrix(6231,-8056,1294,-1673) (53/41,75/58) -> (77/16,53/11) Hyperbolic Matrix(2203,-2850,412,-533) (75/58,22/17) -> (16/3,75/14) Hyperbolic Matrix(379,-494,234,-305) (13/10,4/3) -> (34/21,13/8) Hyperbolic Matrix(533,-722,392,-531) (4/3,19/14) -> (19/14,34/25) Parabolic Matrix(3573,-4864,1060,-1443) (49/36,15/11) -> (91/27,27/8) Hyperbolic Matrix(2887,-3952,778,-1065) (26/19,63/46) -> (89/24,26/7) Hyperbolic Matrix(609,-836,110,-151) (37/27,11/8) -> (11/2,39/7) Hyperbolic Matrix(303,-418,166,-229) (11/8,18/13) -> (20/11,11/6) Hyperbolic Matrix(3343,-4636,1316,-1825) (61/44,43/31) -> (33/13,61/24) Hyperbolic Matrix(2053,-2850,492,-683) (68/49,25/18) -> (25/6,46/11) Hyperbolic Matrix(683,-950,110,-153) (25/18,32/23) -> (6/1,25/4) Hyperbolic Matrix(3877,-5396,1146,-1595) (32/23,39/28) -> (115/34,44/13) Hyperbolic Matrix(1975,-2812,748,-1065) (37/26,10/7) -> (66/25,37/14) Hyperbolic Matrix(609,-874,370,-531) (10/7,23/16) -> (23/14,28/17) Hyperbolic Matrix(1215,-1748,212,-305) (23/16,36/25) -> (40/7,23/4) Hyperbolic Matrix(3877,-5586,1740,-2507) (36/25,49/34) -> (49/22,78/35) Hyperbolic Matrix(3269,-4712,1212,-1747) (49/34,13/9) -> (89/33,27/10) Hyperbolic Matrix(913,-1330,208,-303) (16/11,19/13) -> (57/13,22/5) Hyperbolic Matrix(1443,-2204,548,-837) (3/2,23/15) -> (129/49,79/30) Hyperbolic Matrix(837,-1292,344,-531) (20/13,17/11) -> (17/7,56/23) Hyperbolic Matrix(835,-1292,148,-229) (17/11,31/20) -> (45/8,17/3) Hyperbolic Matrix(3571,-5586,778,-1217) (61/39,36/23) -> (78/17,23/5) Hyperbolic Matrix(457,-722,288,-455) (11/7,19/12) -> (19/12,27/17) Parabolic Matrix(2127,-3382,622,-989) (27/17,35/22) -> (41/12,65/19) Hyperbolic Matrix(4105,-6536,2386,-3799) (35/22,43/27) -> (43/25,117/68) Hyperbolic Matrix(379,-608,48,-77) (8/5,45/28) -> (31/4,8/1) Hyperbolic Matrix(1747,-2812,520,-837) (37/23,29/18) -> (47/14,37/11) Hyperbolic Matrix(1597,-2584,610,-987) (21/13,34/21) -> (34/13,55/21) Hyperbolic Matrix(7751,-12654,4330,-7069) (111/68,80/49) -> (34/19,111/62) Hyperbolic Matrix(1139,-1862,512,-837) (49/30,18/11) -> (20/9,49/22) Hyperbolic Matrix(1899,-3116,788,-1293) (41/25,23/14) -> (53/22,41/17) Hyperbolic Matrix(761,-1254,230,-379) (28/17,5/3) -> (43/13,10/3) Hyperbolic Matrix(1217,-2052,360,-607) (5/3,27/16) -> (27/8,71/21) Hyperbolic Matrix(2735,-4636,1256,-2129) (61/36,39/23) -> (37/17,61/28) Hyperbolic Matrix(761,-1292,268,-455) (39/23,17/10) -> (17/6,37/13) Hyperbolic Matrix(6231,-10640,2582,-4409) (70/41,41/24) -> (111/46,70/29) Hyperbolic Matrix(685,-1178,132,-227) (12/7,43/25) -> (5/1,26/5) Hyperbolic Matrix(16871,-29032,6272,-10793) (191/111,74/43) -> (78/29,191/71) Hyperbolic Matrix(1291,-2280,560,-989) (30/17,23/13) -> (53/23,30/13) Hyperbolic Matrix(683,-1216,214,-381) (16/9,41/23) -> (35/11,16/5) Hyperbolic Matrix(3345,-5966,596,-1063) (41/23,66/37) -> (28/5,73/13) Hyperbolic Matrix(531,-950,128,-229) (25/14,34/19) -> (4/1,25/6) Hyperbolic Matrix(607,-1102,168,-305) (9/5,20/11) -> (18/5,47/13) Hyperbolic Matrix(1139,-2128,448,-837) (28/15,15/8) -> (61/24,28/11) Hyperbolic Matrix(229,-494,70,-151) (2/1,13/6) -> (13/4,36/11) Hyperbolic Matrix(835,-1824,244,-533) (24/11,11/5) -> (65/19,24/7) Hyperbolic Matrix(531,-1178,206,-457) (11/5,20/9) -> (18/7,49/19) Hyperbolic Matrix(151,-342,34,-77) (9/4,16/7) -> (22/5,9/2) Hyperbolic Matrix(531,-1216,100,-229) (16/7,39/17) -> (37/7,16/3) Hyperbolic Matrix(609,-1406,230,-531) (30/13,7/3) -> (45/17,8/3) Hyperbolic Matrix(305,-722,128,-303) (7/3,19/8) -> (19/8,31/13) Parabolic Matrix(2737,-6536,1018,-2431) (74/31,43/18) -> (43/16,78/29) Hyperbolic Matrix(2051,-4902,382,-913) (43/18,55/23) -> (59/11,43/8) Hyperbolic Matrix(1063,-2546,286,-685) (55/23,12/5) -> (26/7,93/25) Hyperbolic Matrix(1215,-2926,316,-761) (12/5,53/22) -> (23/6,50/13) Hyperbolic Matrix(5321,-12958,1560,-3799) (56/23,95/39) -> (133/39,58/17) Hyperbolic Matrix(1215,-3116,356,-913) (41/16,18/7) -> (58/17,41/12) Hyperbolic Matrix(6081,-15694,2326,-6003) (80/31,111/43) -> (149/57,34/13) Hyperbolic Matrix(607,-1596,116,-305) (21/8,50/19) -> (26/5,21/4) Hyperbolic Matrix(2129,-5738,620,-1671) (35/13,62/23) -> (24/7,79/23) Hyperbolic Matrix(1215,-3382,328,-913) (25/9,39/14) -> (37/10,63/17) Hyperbolic Matrix(1975,-5624,374,-1065) (37/13,57/20) -> (95/18,37/7) Hyperbolic Matrix(1825,-5206,346,-987) (57/20,20/7) -> (58/11,95/18) Hyperbolic Matrix(229,-722,72,-227) (3/1,19/6) -> (19/6,35/11) Parabolic Matrix(3725,-12198,812,-2659) (36/11,95/29) -> (133/29,78/17) Hyperbolic Matrix(911,-3002,254,-837) (23/7,33/10) -> (43/12,61/17) Hyperbolic Matrix(1673,-5700,312,-1063) (17/5,75/22) -> (75/14,59/11) Hyperbolic Matrix(685,-2356,66,-227) (55/16,86/25) -> (10/1,21/2) Hyperbolic Matrix(457,-1634,106,-379) (25/7,43/12) -> (43/10,13/3) Hyperbolic Matrix(227,-874,20,-77) (50/13,27/7) -> (11/1,12/1) Hyperbolic Matrix(531,-2432,50,-229) (87/19,55/12) -> (21/2,11/1) Hyperbolic Matrix(153,-722,32,-151) (14/3,19/4) -> (19/4,24/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(151,1748,-92,-1065) -> Matrix(1,0,0,1) Matrix(227,2356,-66,-685) -> Matrix(1,0,6,1) Matrix(227,2204,86,835) -> Matrix(5,-2,18,-7) Matrix(153,1406,58,533) -> Matrix(1,0,2,1) Matrix(75,646,44,379) -> Matrix(3,-2,8,-5) Matrix(305,2356,-236,-1823) -> Matrix(1,0,0,1) Matrix(229,1748,30,229) -> Matrix(1,0,6,1) Matrix(151,1140,20,151) -> Matrix(1,0,-4,1) Matrix(227,1672,134,987) -> Matrix(7,-2,18,-5) Matrix(151,1102,104,759) -> Matrix(7,-4,16,-9) Matrix(75,494,46,303) -> Matrix(1,0,-2,1) Matrix(77,494,12,77) -> Matrix(5,-2,8,-3) Matrix(153,950,-110,-683) -> Matrix(3,-2,2,-1) Matrix(151,874,118,683) -> Matrix(1,0,-2,1) Matrix(305,1748,-212,-1215) -> Matrix(9,-4,16,-7) Matrix(229,1292,-148,-835) -> Matrix(1,0,0,1) Matrix(151,836,-110,-609) -> Matrix(1,0,2,1) Matrix(153,836,28,153) -> Matrix(1,0,4,1) Matrix(379,2052,70,379) -> Matrix(1,0,-10,1) Matrix(1291,6954,282,1519) -> Matrix(1,0,-2,1) Matrix(1899,10222,734,3951) -> Matrix(11,-2,50,-9) Matrix(835,4484,-354,-1901) -> Matrix(17,-4,30,-7) Matrix(229,1216,-100,-531) -> Matrix(7,-2,4,-1) Matrix(227,1178,-132,-685) -> Matrix(13,-6,24,-11) Matrix(151,722,-32,-153) -> Matrix(9,-4,16,-7) Matrix(1139,5358,436,2051) -> Matrix(13,-8,44,-27) Matrix(607,2850,-502,-2357) -> Matrix(3,-2,2,-1) Matrix(229,1064,82,381) -> Matrix(3,-2,2,-1) Matrix(379,1748,214,987) -> Matrix(3,-2,2,-1) Matrix(1217,5586,-778,-3571) -> Matrix(1,-4,2,-7) Matrix(2737,12540,-796,-3647) -> Matrix(1,0,8,1) Matrix(1519,6954,282,1291) -> Matrix(1,0,-2,1) Matrix(2281,10412,866,3953) -> Matrix(1,0,2,1) Matrix(3649,16644,800,3649) -> Matrix(1,0,4,1) Matrix(2051,9348,450,2051) -> Matrix(1,0,2,1) Matrix(685,3116,184,837) -> Matrix(3,-2,8,-5) Matrix(77,342,-34,-151) -> Matrix(1,0,-2,1) Matrix(379,1634,-106,-457) -> Matrix(1,0,2,1) Matrix(303,1292,178,759) -> Matrix(1,2,2,5) Matrix(305,1292,72,305) -> Matrix(1,0,8,1) Matrix(379,1596,90,379) -> Matrix(1,0,-10,1) Matrix(229,950,-128,-531) -> Matrix(1,0,0,1) Matrix(609,2356,236,913) -> Matrix(5,-2,28,-11) Matrix(683,2622,-416,-1597) -> Matrix(5,-2,8,-3) Matrix(229,874,60,229) -> Matrix(13,-6,24,-11) Matrix(151,570,40,151) -> Matrix(7,-4,16,-9) Matrix(987,3686,712,2659) -> Matrix(3,-2,8,-5) Matrix(1823,6802,346,1291) -> Matrix(3,-2,2,-1) Matrix(2659,9918,774,2887) -> Matrix(3,-2,-10,7) Matrix(837,3116,184,685) -> Matrix(3,-2,8,-5) Matrix(531,1976,-470,-1749) -> Matrix(3,-2,2,-1) Matrix(913,3382,-328,-1215) -> Matrix(1,-2,4,-7) Matrix(381,1406,268,989) -> Matrix(3,-2,8,-5) Matrix(229,836,146,533) -> Matrix(1,2,2,5) Matrix(1747,6346,732,2659) -> Matrix(11,6,20,11) Matrix(911,3306,628,2279) -> Matrix(9,4,20,9) Matrix(379,1368,-274,-989) -> Matrix(1,0,-2,1) Matrix(837,3002,-254,-911) -> Matrix(1,0,2,1) Matrix(913,3268,340,1217) -> Matrix(3,-2,8,-5) Matrix(75,266,64,227) -> Matrix(3,-2,8,-5) Matrix(153,532,44,153) -> Matrix(1,0,4,1) Matrix(683,2356,198,683) -> Matrix(1,0,-18,1) Matrix(2507,8626,574,1975) -> Matrix(15,-2,38,-5) Matrix(1671,5738,-620,-2129) -> Matrix(25,-4,44,-7) Matrix(911,3116,-578,-1977) -> Matrix(25,-6,46,-11) Matrix(913,3116,-356,-1215) -> Matrix(1,0,-4,1) Matrix(381,1292,202,685) -> Matrix(15,-4,34,-9) Matrix(2737,9272,2154,7297) -> Matrix(9,-2,14,-3) Matrix(3725,12616,1414,4789) -> Matrix(7,-2,18,-5) Matrix(607,2052,-360,-1217) -> Matrix(7,-2,4,-1) Matrix(913,3078,-676,-2279) -> Matrix(13,-6,24,-11) Matrix(1445,4864,926,3117) -> Matrix(7,-2,18,-5) Matrix(837,2812,-520,-1747) -> Matrix(1,0,0,1) Matrix(229,760,-160,-531) -> Matrix(5,-2,8,-3) Matrix(531,1748,346,1139) -> Matrix(1,0,-2,1) Matrix(151,494,-70,-229) -> Matrix(7,-2,18,-5) Matrix(153,494,118,381) -> Matrix(5,-2,18,-7) Matrix(381,1216,-214,-683) -> Matrix(9,-4,34,-15) Matrix(303,950,-170,-533) -> Matrix(3,-2,14,-9) Matrix(305,874,186,533) -> Matrix(1,0,-2,1) Matrix(455,1292,-268,-761) -> Matrix(5,-2,8,-3) Matrix(229,646,162,457) -> Matrix(7,-2,18,-5) Matrix(381,1064,82,229) -> Matrix(7,-2,18,-5) Matrix(2281,6346,-1666,-4635) -> Matrix(31,-10,90,-29) Matrix(151,418,82,227) -> Matrix(5,-2,18,-7) Matrix(153,418,56,153) -> Matrix(9,-4,16,-7) Matrix(379,1026,140,379) -> Matrix(19,-10,40,-21) Matrix(1747,4712,-1212,-3269) -> Matrix(3,-2,8,-5) Matrix(2737,7372,734,1977) -> Matrix(17,-10,46,-27) Matrix(1597,4294,-678,-1823) -> Matrix(29,-18,50,-31) Matrix(609,1634,142,381) -> Matrix(3,-2,14,-9) Matrix(531,1406,-230,-609) -> Matrix(1,-2,2,-3) Matrix(1065,2812,-748,-1975) -> Matrix(3,-4,4,-5) Matrix(4789,12616,1414,3725) -> Matrix(3,-2,2,-1) Matrix(3953,10412,866,2281) -> Matrix(1,0,2,1) Matrix(837,2204,-548,-1443) -> Matrix(1,0,0,1) Matrix(1141,3002,-664,-1747) -> Matrix(9,-4,16,-7) Matrix(305,798,-232,-607) -> Matrix(3,-4,4,-5) Matrix(3343,8740,-1512,-3953) -> Matrix(1,0,4,1) Matrix(6689,17480,1978,5169) -> Matrix(1,-2,2,-3) Matrix(989,2584,204,533) -> Matrix(3,-4,4,-5) Matrix(379,988,262,683) -> Matrix(1,2,2,5) Matrix(381,988,-322,-835) -> Matrix(1,-4,2,-7) Matrix(3951,10222,734,1899) -> Matrix(1,2,-2,-3) Matrix(4789,12388,2674,6917) -> Matrix(3,4,2,3) Matrix(1749,4522,1088,2813) -> Matrix(3,2,4,3) Matrix(457,1178,-206,-531) -> Matrix(1,0,6,1) Matrix(1139,2926,-740,-1901) -> Matrix(1,0,0,1) Matrix(4635,11894,-3584,-9197) -> Matrix(1,0,0,1) Matrix(609,1558,446,1141) -> Matrix(1,-2,2,-3) Matrix(1445,3686,924,2357) -> Matrix(5,2,12,5) Matrix(1595,4066,894,2279) -> Matrix(1,0,2,1) Matrix(1825,4636,-1316,-3343) -> Matrix(1,0,8,1) Matrix(989,2508,390,989) -> Matrix(1,0,26,1) Matrix(151,380,60,151) -> Matrix(1,0,-4,1) Matrix(77,190,62,153) -> Matrix(7,-2,18,-5) Matrix(607,1482,342,835) -> Matrix(1,0,-2,1) Matrix(531,1292,-344,-837) -> Matrix(5,-2,8,-3) Matrix(455,1102,282,683) -> Matrix(11,-4,14,-5) Matrix(913,2204,756,1825) -> Matrix(5,-2,28,-11) Matrix(2661,6422,-2078,-5015) -> Matrix(5,-2,38,-15) Matrix(1293,3116,-788,-1899) -> Matrix(5,-2,8,-3) Matrix(303,722,-128,-305) -> Matrix(17,-8,32,-15) Matrix(837,1976,-740,-1747) -> Matrix(7,-4,16,-9) Matrix(4333,10222,-3350,-7903) -> Matrix(7,-4,2,-1) Matrix(10717,25232,4100,9653) -> Matrix(27,-16,76,-45) Matrix(9881,23256,-6264,-14743) -> Matrix(271,-164,504,-305) Matrix(1293,3040,356,837) -> Matrix(3,-2,20,-13) Matrix(229,532,164,381) -> Matrix(3,-2,8,-5) Matrix(379,874,-330,-761) -> Matrix(7,-6,6,-5) Matrix(761,1748,596,1369) -> Matrix(3,-4,4,-5) Matrix(3877,8892,-2286,-5243) -> Matrix(5,-6,6,-7) Matrix(5321,12198,1426,3269) -> Matrix(1,0,2,1) Matrix(533,1216,-366,-835) -> Matrix(1,-8,2,-15) Matrix(5775,13148,3538,8055) -> Matrix(1,2,2,5) Matrix(4941,11248,1436,3269) -> Matrix(1,2,-4,-7) Matrix(685,1558,368,837) -> Matrix(3,4,8,11) Matrix(305,684,136,305) -> Matrix(1,0,8,1) Matrix(987,2204,442,987) -> Matrix(1,0,-26,1) Matrix(837,1862,-512,-1139) -> Matrix(1,0,-4,1) Matrix(2507,5548,446,987) -> Matrix(1,0,-2,1) Matrix(5549,12274,2062,4561) -> Matrix(53,-10,122,-23) Matrix(533,1178,138,305) -> Matrix(9,-2,14,-3) Matrix(381,836,-242,-531) -> Matrix(17,-4,30,-7) Matrix(2129,4636,-1256,-2735) -> Matrix(7,-2,4,-1) Matrix(1293,2812,944,2053) -> Matrix(19,-6,16,-5) Matrix(303,646,-250,-533) -> Matrix(5,-2,-2,1) Matrix(457,874,80,153) -> Matrix(9,-4,16,-7) Matrix(683,1292,120,227) -> Matrix(11,-6,24,-13) Matrix(685,1292,202,381) -> Matrix(7,-4,2,-1) Matrix(1747,3268,-1260,-2357) -> Matrix(3,-2,8,-5) Matrix(531,988,122,227) -> Matrix(5,-4,14,-11) Matrix(227,418,82,151) -> Matrix(1,-2,2,-3) Matrix(229,418,-166,-303) -> Matrix(1,0,2,1) Matrix(1293,2318,1018,1825) -> Matrix(17,-4,30,-7) Matrix(6917,12388,2674,4789) -> Matrix(13,-4,62,-19) Matrix(7069,12654,-4330,-7751) -> Matrix(5,-2,18,-7) Matrix(1063,1900,-936,-1673) -> Matrix(1,0,-4,1) Matrix(2279,4066,894,1595) -> Matrix(1,0,2,1) Matrix(4027,7182,-2600,-4637) -> Matrix(1,0,-4,1) Matrix(835,1482,342,607) -> Matrix(1,0,-2,1) Matrix(987,1748,214,379) -> Matrix(7,-2,18,-5) Matrix(151,266,-130,-229) -> Matrix(11,-4,14,-5) Matrix(153,266,88,153) -> Matrix(9,-4,16,-7) Matrix(683,1178,396,683) -> Matrix(35,-18,72,-37) Matrix(2053,3534,1590,2737) -> Matrix(15,-8,62,-33) Matrix(5853,10070,-3710,-6383) -> Matrix(181,-98,338,-183) Matrix(911,1558,666,1139) -> Matrix(13,-8,18,-11) Matrix(913,1558,-712,-1215) -> Matrix(3,-2,8,-5) Matrix(379,646,44,75) -> Matrix(3,-2,8,-5) Matrix(759,1292,178,303) -> Matrix(3,-2,14,-9) Matrix(10639,18050,-6272,-10641) -> Matrix(25,-18,32,-23) Matrix(4103,6954,3228,5471) -> Matrix(5,-2,8,-3) Matrix(987,1672,134,227) -> Matrix(3,-2,2,-1) Matrix(607,1026,494,835) -> Matrix(9,-8,26,-23) Matrix(1445,2432,-1038,-1747) -> Matrix(3,-2,2,-1) Matrix(531,874,-370,-609) -> Matrix(9,-2,14,-3) Matrix(11855,19456,7594,12463) -> Matrix(7,-2,18,-5) Matrix(533,874,186,305) -> Matrix(1,0,-2,1) Matrix(2279,3724,-1768,-2889) -> Matrix(1,0,-8,1) Matrix(3421,5586,2514,4105) -> Matrix(25,-6,46,-11) Matrix(26677,43548,15504,25309) -> Matrix(95,-34,204,-73) Matrix(6309,10298,1444,2357) -> Matrix(3,-2,8,-5) Matrix(303,494,46,75) -> Matrix(1,0,-2,1) Matrix(305,494,-234,-379) -> Matrix(1,0,-2,1) Matrix(683,1102,282,455) -> Matrix(11,-4,14,-5) Matrix(3799,6118,1132,1823) -> Matrix(9,-4,16,-7) Matrix(1369,2204,1228,1977) -> Matrix(3,-2,8,-5) Matrix(2813,4522,1088,1749) -> Matrix(5,-2,28,-11) Matrix(2507,4028,-1940,-3117) -> Matrix(5,-2,8,-3) Matrix(455,722,-288,-457) -> Matrix(25,-12,48,-23) Matrix(3877,6118,2794,4409) -> Matrix(15,-8,62,-33) Matrix(81017,127794,30114,47501) -> Matrix(1345,-724,3134,-1687) Matrix(80103,126350,29776,46967) -> Matrix(1385,-746,3236,-1743) Matrix(12769,20140,7132,11249) -> Matrix(63,-34,76,-41) Matrix(533,836,146,229) -> Matrix(3,-2,14,-9) Matrix(4711,7372,-3886,-6081) -> Matrix(5,-2,-2,1) Matrix(2357,3686,924,1445) -> Matrix(3,-2,20,-13) Matrix(3649,5700,2336,3649) -> Matrix(7,-4,16,-9) Matrix(12995,20292,8322,12995) -> Matrix(29,-20,74,-51) Matrix(17329,27056,6426,10033) -> Matrix(13,-10,30,-23) Matrix(1217,1900,98,153) -> Matrix(3,-2,2,-1) Matrix(3117,4864,926,1445) -> Matrix(3,-2,2,-1) Matrix(683,1064,536,835) -> Matrix(1,0,0,1) Matrix(759,1178,538,835) -> Matrix(5,-4,14,-11) Matrix(3801,5890,1472,2281) -> Matrix(1,0,4,1) Matrix(3723,5738,1528,2355) -> Matrix(3,-4,4,-5) Matrix(9425,14516,2764,4257) -> Matrix(1,0,0,1) Matrix(1063,1634,296,455) -> Matrix(1,0,0,1) Matrix(2507,3838,744,1139) -> Matrix(1,0,0,1) Matrix(77,114,52,77) -> Matrix(1,0,0,1) Matrix(1823,2660,416,607) -> Matrix(31,-16,64,-33) Matrix(759,1102,104,151) -> Matrix(7,-4,16,-9) Matrix(2279,3306,628,911) -> Matrix(7,-4,44,-25) Matrix(683,988,262,379) -> Matrix(3,-2,14,-9) Matrix(6005,8664,3846,5549) -> Matrix(5,-4,14,-11) Matrix(4559,6574,948,1367) -> Matrix(1,0,0,1) Matrix(2585,3724,-2004,-2887) -> Matrix(3,-2,-4,3) Matrix(607,874,316,455) -> Matrix(1,0,0,1) Matrix(1901,2736,1004,1445) -> Matrix(19,-10,40,-21) Matrix(4027,5776,1218,1747) -> Matrix(3,-2,26,-17) Matrix(4029,5776,1220,1749) -> Matrix(3,-2,-16,11) Matrix(533,760,54,77) -> Matrix(3,-2,2,-1) Matrix(987,1406,106,151) -> Matrix(5,-4,14,-11) Matrix(989,1406,268,381) -> Matrix(3,-2,8,-5) Matrix(455,646,374,531) -> Matrix(1,0,2,1) Matrix(457,646,162,229) -> Matrix(3,-2,2,-1) Matrix(835,1178,538,759) -> Matrix(5,-4,14,-11) Matrix(1673,2356,1188,1673) -> Matrix(11,-10,32,-29) Matrix(379,532,270,379) -> Matrix(1,0,2,1) Matrix(1445,2014,546,761) -> Matrix(1,0,2,1) Matrix(8133,11324,3112,4333) -> Matrix(5,-6,16,-19) Matrix(1367,1900,218,303) -> Matrix(1,2,2,5) Matrix(1369,1900,-1204,-1671) -> Matrix(1,0,0,1) Matrix(2355,3268,1478,2051) -> Matrix(1,-4,2,-7) Matrix(2659,3686,712,987) -> Matrix(3,-2,8,-5) Matrix(4179,5776,1154,1595) -> Matrix(1,0,14,1) Matrix(4181,5776,1156,1597) -> Matrix(1,0,-12,1) Matrix(305,418,278,381) -> Matrix(7,-2,18,-5) Matrix(2053,2812,944,1293) -> Matrix(19,-6,16,-5) Matrix(16871,23104,4550,6231) -> Matrix(91,-30,270,-89) Matrix(16873,23104,4552,6233) -> Matrix(83,-28,252,-85) Matrix(1139,1558,666,911) -> Matrix(21,-8,50,-19) Matrix(1141,1558,446,609) -> Matrix(5,-2,18,-7) Matrix(531,722,-392,-533) -> Matrix(21,-10,40,-19) Matrix(5623,7600,2136,2887) -> Matrix(11,-6,24,-13) Matrix(1747,2356,1070,1443) -> Matrix(7,-4,2,-1) Matrix(1825,2394,696,913) -> Matrix(11,-10,32,-29) Matrix(2583,3382,986,1291) -> Matrix(11,-12,34,-37) Matrix(381,494,118,153) -> Matrix(1,-2,2,-3) Matrix(4409,5700,-3644,-4711) -> Matrix(1,0,0,1) Matrix(2737,3534,1590,2053) -> Matrix(1,8,2,17) Matrix(14743,18886,6110,7827) -> Matrix(23,2,34,3) Matrix(12313,15770,5104,6537) -> Matrix(29,-2,44,-3) Matrix(683,874,118,151) -> Matrix(1,0,-2,1) Matrix(1369,1748,596,761) -> Matrix(11,-4,36,-13) Matrix(835,1064,536,683) -> Matrix(1,0,0,1) Matrix(1823,2318,836,1063) -> Matrix(19,-8,12,-5) Matrix(7297,9272,2154,2737) -> Matrix(5,-2,-2,1) Matrix(1825,2318,1018,1293) -> Matrix(9,-4,-2,1) Matrix(989,1254,780,989) -> Matrix(25,-12,48,-23) Matrix(151,190,120,151) -> Matrix(7,-4,16,-9) Matrix(153,190,62,77) -> Matrix(3,-2,2,-1) Matrix(835,1026,494,607) -> Matrix(9,-8,26,-23) Matrix(1673,2052,1364,1673) -> Matrix(27,-26,80,-77) Matrix(683,836,558,683) -> Matrix(7,-8,22,-25) Matrix(531,646,374,455) -> Matrix(1,0,2,1) Matrix(4103,4978,1252,1519) -> Matrix(1,-4,0,1) Matrix(13225,16036,2884,3497) -> Matrix(1,8,4,33) Matrix(10337,12502,3834,4637) -> Matrix(1,4,2,9) Matrix(1825,2204,756,913) -> Matrix(3,2,4,3) Matrix(607,722,-512,-609) -> Matrix(13,-6,24,-11) Matrix(227,266,64,75) -> Matrix(3,-2,8,-5) Matrix(2737,3154,1188,1369) -> Matrix(27,-26,80,-77) Matrix(2279,2622,990,1139) -> Matrix(19,-20,58,-61) Matrix(305,342,272,305) -> Matrix(1,0,0,1) Matrix(683,760,204,227) -> Matrix(3,-2,8,-5) Matrix(379,418,68,75) -> Matrix(3,-2,8,-5) Matrix(1,0,2,1) -> Matrix(1,0,2,1) Matrix(1749,-1976,470,-531) -> Matrix(7,-2,18,-5) Matrix(837,-950,200,-227) -> Matrix(1,0,-4,1) Matrix(229,-266,130,-151) -> Matrix(11,-4,14,-5) Matrix(835,-988,322,-381) -> Matrix(9,-4,34,-15) Matrix(989,-1178,382,-455) -> Matrix(3,-2,14,-9) Matrix(1823,-2204,378,-457) -> Matrix(9,-2,14,-3) Matrix(1443,-1748,440,-533) -> Matrix(1,0,-4,1) Matrix(1215,-1558,712,-913) -> Matrix(3,-2,8,-5) Matrix(1445,-1862,648,-835) -> Matrix(1,0,-12,1) Matrix(1823,-2356,236,-305) -> Matrix(1,0,0,1) Matrix(6231,-8056,1294,-1673) -> Matrix(9,-2,14,-3) Matrix(2203,-2850,412,-533) -> Matrix(1,0,-4,1) Matrix(379,-494,234,-305) -> Matrix(1,0,-2,1) Matrix(533,-722,392,-531) -> Matrix(21,-10,40,-19) Matrix(3573,-4864,1060,-1443) -> Matrix(7,-4,16,-9) Matrix(2887,-3952,778,-1065) -> Matrix(9,-8,26,-23) Matrix(609,-836,110,-151) -> Matrix(1,0,2,1) Matrix(303,-418,166,-229) -> Matrix(1,0,2,1) Matrix(3343,-4636,1316,-1825) -> Matrix(1,0,8,1) Matrix(2053,-2850,492,-683) -> Matrix(1,0,-4,1) Matrix(683,-950,110,-153) -> Matrix(7,-2,18,-5) Matrix(3877,-5396,1146,-1595) -> Matrix(13,-4,10,-3) Matrix(1975,-2812,748,-1065) -> Matrix(11,-4,36,-13) Matrix(609,-874,370,-531) -> Matrix(5,-2,-2,1) Matrix(1215,-1748,212,-305) -> Matrix(9,-4,16,-7) Matrix(3877,-5586,1740,-2507) -> Matrix(5,-2,-32,13) Matrix(3269,-4712,1212,-1747) -> Matrix(3,-2,8,-5) Matrix(913,-1330,208,-303) -> Matrix(17,-8,32,-15) Matrix(1443,-2204,548,-837) -> Matrix(1,0,0,1) Matrix(837,-1292,344,-531) -> Matrix(5,-2,8,-3) Matrix(835,-1292,148,-229) -> Matrix(1,0,0,1) Matrix(3571,-5586,778,-1217) -> Matrix(9,-4,34,-15) Matrix(457,-722,288,-455) -> Matrix(25,-12,48,-23) Matrix(2127,-3382,622,-989) -> Matrix(11,-6,2,-1) Matrix(4105,-6536,2386,-3799) -> Matrix(103,-58,222,-125) Matrix(379,-608,48,-77) -> Matrix(3,-2,8,-5) Matrix(1747,-2812,520,-837) -> Matrix(1,0,0,1) Matrix(1597,-2584,610,-987) -> Matrix(3,-4,10,-13) Matrix(7751,-12654,4330,-7069) -> Matrix(1,-2,2,-3) Matrix(1139,-1862,512,-837) -> Matrix(1,0,-4,1) Matrix(1899,-3116,788,-1293) -> Matrix(5,-2,8,-3) Matrix(761,-1254,230,-379) -> Matrix(1,0,2,1) Matrix(1217,-2052,360,-607) -> Matrix(7,-2,4,-1) Matrix(2735,-4636,1256,-2129) -> Matrix(7,-2,4,-1) Matrix(761,-1292,268,-455) -> Matrix(5,-2,8,-3) Matrix(6231,-10640,2582,-4409) -> Matrix(51,-20,74,-29) Matrix(685,-1178,132,-227) -> Matrix(13,-6,24,-11) Matrix(16871,-29032,6272,-10793) -> Matrix(351,-164,824,-385) Matrix(1291,-2280,560,-989) -> Matrix(11,-10,32,-29) Matrix(683,-1216,214,-381) -> Matrix(1,-4,2,-7) Matrix(3345,-5966,596,-1063) -> Matrix(1,0,4,1) Matrix(531,-950,128,-229) -> Matrix(1,0,0,1) Matrix(607,-1102,168,-305) -> Matrix(1,0,-4,1) Matrix(1139,-2128,448,-837) -> Matrix(5,-2,48,-19) Matrix(229,-494,70,-151) -> Matrix(3,-2,2,-1) Matrix(835,-1824,244,-533) -> Matrix(1,-2,0,1) Matrix(531,-1178,206,-457) -> Matrix(1,0,6,1) Matrix(151,-342,34,-77) -> Matrix(1,0,-2,1) Matrix(531,-1216,100,-229) -> Matrix(7,-2,4,-1) Matrix(609,-1406,230,-531) -> Matrix(5,-2,18,-7) Matrix(305,-722,128,-303) -> Matrix(17,-8,32,-15) Matrix(2737,-6536,1018,-2431) -> Matrix(39,-22,94,-53) Matrix(2051,-4902,382,-913) -> Matrix(7,-4,2,-1) Matrix(1063,-2546,286,-685) -> Matrix(17,-10,46,-27) Matrix(1215,-2926,316,-761) -> Matrix(1,0,0,1) Matrix(5321,-12958,1560,-3799) -> Matrix(3,-2,-4,3) Matrix(1215,-3116,356,-913) -> Matrix(1,0,-4,1) Matrix(6081,-15694,2326,-6003) -> Matrix(1,0,-2,1) Matrix(607,-1596,116,-305) -> Matrix(5,-2,8,-3) Matrix(2129,-5738,620,-1671) -> Matrix(9,-4,-20,9) Matrix(1215,-3382,328,-913) -> Matrix(1,-2,4,-7) Matrix(1975,-5624,374,-1065) -> Matrix(1,-2,2,-3) Matrix(1825,-5206,346,-987) -> Matrix(1,0,2,1) Matrix(229,-722,72,-227) -> Matrix(13,-6,24,-11) Matrix(3725,-12198,812,-2659) -> Matrix(1,-6,4,-23) Matrix(911,-3002,254,-837) -> Matrix(1,0,2,1) Matrix(1673,-5700,312,-1063) -> Matrix(1,0,0,1) Matrix(685,-2356,66,-227) -> Matrix(1,0,6,1) Matrix(457,-1634,106,-379) -> Matrix(1,0,2,1) Matrix(227,-874,20,-77) -> Matrix(3,-2,8,-5) Matrix(531,-2432,50,-229) -> Matrix(1,0,-2,1) Matrix(153,-722,32,-151) -> Matrix(9,-4,16,-7) 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): 120 Degree of the the map X: 120 Degree of the the map Y: 360 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.