INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2304 Minimal number of generators: 385 Number of equivalence classes of cusps: 112 Genus: 137 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -8/1 -6/1 -16/3 -5/1 -14/3 -4/1 -15/4 -18/5 -25/7 -24/7 -10/3 -16/5 -25/9 -35/13 -8/3 -5/2 -12/5 -16/7 -15/7 -2/1 -12/7 -5/3 -8/5 -30/19 -10/7 -15/11 -4/3 -5/4 -8/7 -10/9 0/1 1/1 8/7 20/17 40/33 5/4 40/31 4/3 15/11 40/29 10/7 3/2 20/13 8/5 5/3 100/59 12/7 40/23 120/67 20/11 35/19 15/8 2/1 15/7 20/9 16/7 40/17 160/67 12/5 5/2 100/39 8/3 320/119 35/13 30/11 25/9 120/43 20/7 3/1 35/11 16/5 10/3 24/7 7/2 25/7 18/5 40/11 11/3 160/43 15/4 80/21 4/1 29/7 21/5 80/19 17/4 13/3 31/7 40/9 9/2 41/9 14/3 19/4 5/1 37/7 16/3 27/5 11/2 17/3 40/7 6/1 19/3 13/2 33/5 20/3 7/1 15/2 23/3 8/1 9/1 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -9/1 0/1 1/0 -8/1 1/1 -7/1 1/2 1/1 -20/3 1/1 -13/2 1/1 2/1 -6/1 1/2 -23/4 8/9 1/1 -40/7 1/1 -17/3 1/1 6/5 -11/2 1/1 2/1 -38/7 1/0 -65/12 1/0 -27/5 0/1 1/0 -16/3 0/1 -5/1 1/1 -24/5 2/1 -43/9 3/2 2/1 -19/4 2/1 1/0 -52/11 2/1 -33/7 3/1 1/0 -14/3 1/0 -37/8 -1/1 0/1 -23/5 0/1 1/2 -32/7 1/1 -41/9 0/1 1/1 -9/2 2/3 1/1 -13/3 1/1 2/1 -17/4 2/1 3/1 -38/9 1/0 -21/5 -3/1 1/0 -4/1 1/1 -23/6 3/1 4/1 -42/11 1/0 -19/5 -3/1 1/0 -34/9 -1/2 -49/13 1/1 1/0 -15/4 0/1 -11/3 1/2 1/1 -40/11 1/1 -29/8 1/1 6/5 -47/13 1/1 3/2 -112/31 4/3 -65/18 3/2 -18/5 3/2 -43/12 5/3 2/1 -25/7 1/1 3/1 -32/9 1/1 -39/11 1/1 2/1 -7/2 2/1 1/0 -45/13 -1/1 1/1 -38/11 1/0 -31/9 -1/1 1/0 -55/16 0/1 -79/23 0/1 1/0 -24/7 0/1 -41/12 0/1 1/1 -17/5 1/1 2/1 -27/8 0/1 1/1 -37/11 0/1 1/2 -10/3 1/1 -23/7 2/1 1/0 -36/11 0/1 -13/4 1/1 2/1 -55/17 1/1 3/1 -42/13 1/0 -29/9 0/1 1/0 -16/5 1/0 -19/6 0/1 1/0 -22/7 1/0 -25/8 1/0 -3/1 1/1 1/0 -20/7 1/0 -17/6 0/1 1/1 -48/17 0/1 -31/11 1/2 1/1 -45/16 2/1 -14/5 1/0 -81/29 0/1 1/0 -67/24 -1/1 0/1 -120/43 0/1 -53/19 0/1 1/2 -39/14 0/1 1/1 -25/9 1/1 -36/13 0/1 -47/17 1/2 1/1 -11/4 1/1 2/1 -41/15 1/1 2/1 -71/26 1/1 4/3 -30/11 2/1 -19/7 3/1 1/0 -46/17 1/2 -27/10 1/1 2/1 -35/13 1/1 3/1 -8/3 1/0 -45/17 -1/1 1/1 -82/31 1/0 -119/45 -1/1 0/1 -37/14 -1/1 0/1 -66/25 1/0 -161/61 0/1 1/0 -95/36 0/1 -29/11 0/1 1/2 -50/19 1/1 -71/27 2/1 1/0 -92/35 2/1 -21/8 2/1 1/0 -55/21 -1/1 -34/13 1/0 -13/5 0/1 1/1 -31/12 4/5 1/1 -18/7 3/2 -59/23 1/1 1/0 -100/39 1/1 -41/16 1/1 2/1 -23/9 3/2 2/1 -51/20 1/1 2/1 -28/11 2/1 -33/13 1/1 1/0 -38/15 1/0 -5/2 1/0 -27/11 0/1 1/0 -22/9 1/2 -61/25 1/2 1/1 -100/41 1/1 -39/16 0/1 1/1 -17/7 2/3 1/1 -29/12 1/1 2/1 -41/17 1/1 2/1 -53/22 1/1 4/3 -12/5 2/1 -67/28 2/1 3/1 -55/23 1/1 3/1 -43/18 5/3 2/1 -74/31 9/4 -31/13 5/2 3/1 -19/8 2/1 1/0 -64/27 1/0 -45/19 3/1 -26/11 1/0 -59/25 7/1 1/0 -92/39 7/1 -33/14 10/1 1/0 -40/17 1/0 -7/3 -1/1 1/0 -16/7 1/1 -41/18 1/1 2/1 -25/11 1/1 -34/15 3/2 -9/4 2/1 3/1 -47/21 5/1 1/0 -38/17 1/0 -29/13 6/1 1/0 -20/9 1/0 -11/5 -1/1 1/0 -13/6 0/1 1/1 -28/13 2/1 -43/20 1/1 2/1 -15/7 1/1 3/1 -17/8 2/1 3/1 -2/1 1/0 -17/9 -3/1 -2/1 -15/8 1/0 -28/15 -1/1 -13/7 -1/1 0/1 -11/6 0/1 1/1 -42/23 1/0 -31/17 3/1 1/0 -20/11 1/0 -9/5 -2/1 1/0 -52/29 -2/1 -43/24 -2/1 -1/1 -120/67 -1/1 -77/43 -1/1 1/0 -34/19 1/0 -25/14 -2/1 -41/23 -2/1 -1/1 -16/9 -1/1 -39/22 -1/1 0/1 -23/13 0/1 1/0 -30/17 -1/1 -37/21 0/1 1/0 -7/4 0/1 1/0 -40/23 1/0 -33/19 -5/1 1/0 -26/15 1/0 -19/11 -1/1 1/0 -50/29 -2/1 -31/18 -2/1 -1/1 -74/43 -5/2 -117/68 -19/9 -2/1 -160/93 -2/1 -43/25 -2/1 -7/4 -12/7 -1/1 -77/45 -1/1 1/0 -65/38 1/0 -53/31 -2/1 1/0 -41/24 -2/1 -1/1 -70/41 -1/1 -29/17 -2/1 -3/2 -75/44 -4/3 -121/71 -4/3 -1/1 -46/27 -5/4 -17/10 -1/1 -2/3 -5/3 -1/1 1/1 -23/14 -1/1 -2/3 -41/25 -1/1 0/1 -100/61 0/1 -59/36 0/1 1/0 -18/11 1/0 -49/30 -8/7 -1/1 -80/49 -1/1 -31/19 -1/1 -5/6 -75/46 -2/3 -119/73 -1/1 -2/3 -44/27 -2/3 -13/8 -1/1 0/1 -60/37 -1/1 -47/29 -1/1 -3/4 -128/79 -2/3 -81/50 -1/1 -2/3 -115/71 -1/1 -34/21 -1/2 -55/34 -2/3 -76/47 -3/5 -21/13 -1/2 -1/3 -92/57 -1/3 -71/44 -2/5 -1/3 -50/31 0/1 -79/49 -1/2 0/1 -187/116 -1/1 0/1 -108/67 0/1 -29/18 -1/3 0/1 -37/23 -1/2 0/1 -8/5 0/1 -43/27 0/1 1/0 -121/76 0/1 1/1 -320/201 1/1 -199/125 1/1 2/1 -78/49 1/0 -35/22 1/0 -27/17 0/1 1/0 -73/46 0/1 1/2 -119/75 0/1 1/1 -46/29 1/0 -19/12 -2/1 1/0 -49/31 -3/2 -1/1 -128/81 -2/1 -79/50 -2/1 -1/1 -30/19 -1/1 -71/45 -1/2 0/1 -41/26 -1/1 0/1 -11/7 -1/1 1/0 -25/16 0/1 -39/25 -1/1 0/1 -53/34 -2/1 -1/1 -14/9 -1/2 -45/29 -1/3 -31/20 -1/1 0/1 -17/11 -1/3 0/1 -20/13 0/1 -23/15 0/1 1/2 -3/2 -1/1 0/1 -22/15 1/0 -19/13 1/1 1/0 -16/11 1/0 -45/31 -1/1 -29/20 0/1 1/1 -13/9 -1/1 0/1 -23/16 -1/3 0/1 -79/55 -1/2 0/1 -56/39 0/1 -89/62 -1/1 -2/3 -33/23 -1/2 -1/3 -10/7 0/1 -47/33 1/4 1/3 -84/59 0/1 -121/85 0/1 1/3 -37/26 0/1 1/3 -64/45 0/1 -27/19 0/1 1/2 -71/50 0/1 1/5 -115/81 1/3 -159/112 0/1 1/3 -44/31 1/3 -17/12 2/3 1/1 -41/29 0/1 1/1 -24/17 1/1 -7/5 -1/1 1/0 -32/23 -1/1 -57/41 -2/3 -1/2 -25/18 -1/2 -68/49 -1/3 -43/31 0/1 1/0 -61/44 -1/2 0/1 -140/101 0/1 -79/57 -1/2 0/1 -18/13 -1/2 -47/34 -1/4 0/1 -123/89 -1/4 0/1 -199/144 -1/5 0/1 -76/55 -1/5 -105/76 0/1 -29/21 -1/8 0/1 -40/29 0/1 -11/8 0/1 1/3 -37/27 0/1 1/2 -26/19 1/2 -93/68 4/5 1/1 -160/117 1/1 -67/49 1/1 2/1 -41/30 0/1 1/1 -56/41 0/1 -15/11 1/1 -64/47 2/1 -49/36 0/1 1/1 -132/97 1/1 -83/61 1/1 1/0 -34/25 1/0 -19/14 4/1 1/0 -80/59 1/0 -61/45 -13/1 1/0 -42/31 1/0 -65/48 1/0 -23/17 -2/1 1/0 -4/3 0/1 -25/19 1/1 -21/16 4/1 1/0 -80/61 1/0 -59/45 -11/1 1/0 -38/29 1/0 -17/13 -2/1 -1/1 -13/10 -1/1 0/1 -35/27 -1/1 -1/3 -57/44 -1/1 0/1 -79/61 -1/2 0/1 -22/17 -1/2 -53/41 -1/4 0/1 -31/24 -1/7 0/1 -40/31 0/1 -9/7 0/1 1/2 -32/25 1/1 -55/43 1/1 3/1 -78/61 1/0 -23/18 0/1 1/1 -60/47 1/0 -37/29 0/1 1/0 -14/11 1/0 -19/15 -1/1 1/0 -24/19 1/0 -29/23 -2/1 1/0 -5/4 0/1 -26/21 1/0 -21/17 -1/1 1/0 -58/47 -1/2 -37/30 -1/1 0/1 -16/13 0/1 -43/35 0/1 1/2 -27/22 0/1 1/1 -11/9 -1/1 1/0 -39/32 -1/1 0/1 -67/55 -1/1 -2/3 -28/23 -1/1 -73/60 -1/2 -2/5 -45/37 -1/1 -1/3 -17/14 -1/3 0/1 -40/33 0/1 -23/19 0/1 1/4 -29/24 0/1 1/3 -35/29 1/1 -6/5 1/0 -13/11 -1/1 0/1 -20/17 0/1 -27/23 0/1 1/2 -7/6 0/1 1/0 -22/19 1/2 -37/32 0/1 1/1 -15/13 -1/1 1/1 -23/20 -1/1 0/1 -8/7 0/1 -25/22 1/0 -17/15 -1/1 0/1 -9/8 0/1 1/1 -10/9 0/1 -1/1 0/1 1/0 0/1 0/1 1/1 0/1 1/2 9/8 0/1 1/1 8/7 0/1 23/20 0/1 1/3 15/13 1/3 1/1 7/6 0/1 1/2 27/23 0/1 1/0 20/17 0/1 13/11 0/1 1/3 6/5 1/2 29/24 -1/1 0/1 23/19 -1/2 0/1 40/33 0/1 17/14 0/1 1/5 45/37 1/5 1/3 73/60 2/9 1/4 28/23 1/3 11/9 1/3 1/2 16/13 0/1 37/30 0/1 1/3 21/17 1/3 1/2 26/21 1/2 5/4 0/1 24/19 1/2 19/15 1/3 1/2 14/11 1/2 37/29 0/1 1/2 23/18 0/1 1/1 32/25 1/1 9/7 0/1 1/0 40/31 0/1 31/24 0/1 1/9 22/17 1/4 79/61 0/1 1/4 57/44 0/1 1/3 35/27 1/5 1/3 13/10 0/1 1/3 17/13 1/3 2/5 38/29 1/2 21/16 1/2 4/7 4/3 0/1 23/17 2/5 1/2 42/31 1/2 19/14 1/2 4/7 34/25 1/2 83/61 1/2 1/1 49/36 0/1 1/1 15/11 1/1 41/30 0/1 1/1 67/49 2/3 1/1 26/19 1/0 37/27 0/1 1/0 11/8 -1/1 0/1 40/29 0/1 29/21 0/1 1/10 76/55 1/7 47/34 0/1 1/6 65/47 1/7 1/5 83/60 0/1 1/5 18/13 1/4 79/57 0/1 1/4 61/44 0/1 1/4 43/31 0/1 1/2 25/18 1/4 7/5 1/3 1/2 17/12 1/1 2/1 44/31 -1/1 71/50 -1/3 0/1 27/19 0/1 1/0 37/26 -1/1 0/1 10/7 0/1 43/30 0/1 1/5 33/23 1/5 1/4 89/62 2/7 1/3 56/39 0/1 79/55 0/1 1/4 23/16 0/1 1/5 13/9 0/1 1/3 16/11 1/2 19/13 1/2 1/1 3/2 0/1 1/3 20/13 0/1 17/11 0/1 1/5 48/31 0/1 31/20 0/1 1/3 14/9 1/4 11/7 1/3 1/2 52/33 1/3 41/26 0/1 1/3 30/19 1/3 19/12 2/5 1/2 46/29 1/2 73/46 0/1 1/0 27/17 0/1 1/2 35/22 1/2 8/5 0/1 45/28 1/4 82/51 1/4 119/74 0/1 1/3 37/23 0/1 1/4 29/18 0/1 1/5 79/49 0/1 1/4 50/31 0/1 71/44 1/5 2/9 163/101 1/5 1/4 92/57 1/5 21/13 1/5 1/4 55/34 2/7 34/21 1/4 115/71 1/3 81/50 2/7 1/3 128/79 2/7 47/29 3/10 1/3 13/8 0/1 1/3 44/27 2/7 119/73 2/7 1/3 75/46 2/7 31/19 5/16 1/3 18/11 1/2 5/3 1/3 1/1 22/13 1/2 61/36 0/1 1/2 161/95 0/1 1/2 100/59 0/1 39/23 0/1 1/3 17/10 2/7 1/3 46/27 5/14 121/71 1/3 4/11 75/44 4/11 29/17 3/8 2/5 41/24 1/3 2/5 53/31 2/5 1/2 65/38 1/2 12/7 1/3 55/32 3/8 43/25 7/18 2/5 31/18 1/3 2/5 19/11 1/3 1/2 26/15 1/2 33/19 5/11 1/2 40/23 1/2 7/4 0/1 1/2 23/13 0/1 1/2 39/22 0/1 1/3 16/9 1/3 41/23 1/3 2/5 25/14 2/5 34/19 1/2 77/43 1/3 1/2 120/67 1/3 43/24 1/3 2/5 52/29 2/5 9/5 2/5 1/2 20/11 1/2 31/17 1/2 3/5 42/23 1/2 11/6 0/1 1/1 46/25 1/4 35/19 1/3 24/13 1/2 13/7 0/1 1/3 41/22 1/3 2/5 28/15 1/3 15/8 1/2 32/17 2/5 17/9 2/5 3/7 2/1 1/2 17/8 3/5 2/3 15/7 3/5 1/1 43/20 2/3 1/1 28/13 2/3 13/6 0/1 1/1 24/11 0/1 11/5 1/3 1/2 20/9 1/2 29/13 1/2 6/11 38/17 1/2 47/21 1/2 5/9 9/4 3/5 2/3 43/19 9/14 2/3 34/15 3/4 25/11 1/1 41/18 2/3 1/1 16/7 1/1 39/17 0/1 1/1 23/10 1/1 2/1 7/3 1/3 1/2 40/17 1/2 33/14 1/2 10/19 92/39 7/13 59/25 1/2 7/13 26/11 1/2 71/30 5/9 4/7 116/49 3/5 161/68 4/7 3/5 45/19 3/5 19/8 1/2 2/3 50/21 3/5 81/34 3/5 2/3 31/13 3/5 5/8 74/31 9/14 117/49 21/32 2/3 160/67 2/3 43/18 2/3 5/7 12/5 2/3 53/22 4/5 1/1 41/17 2/3 1/1 29/12 2/3 1/1 17/7 1/1 2/1 39/16 0/1 1/1 100/41 1/1 61/25 1/1 1/0 22/9 1/0 49/20 0/1 1/5 27/11 0/1 1/2 5/2 1/2 38/15 1/2 33/13 1/2 1/1 28/11 2/3 79/31 1/2 2/3 51/20 2/3 1/1 23/9 2/3 3/4 41/16 2/3 1/1 100/39 1/1 59/23 1/2 1/1 77/30 2/3 1/1 18/7 3/4 13/5 0/1 1/1 34/13 1/2 55/21 1/3 21/8 1/2 2/3 71/27 1/2 2/3 50/19 1/1 79/30 0/1 1/1 29/11 0/1 1/0 37/14 0/1 1/3 8/3 1/2 43/16 2/3 1/1 121/45 2/3 1/1 320/119 1/1 199/74 0/1 1/1 78/29 1/2 35/13 3/5 1/1 27/10 2/3 1/1 19/7 1/2 3/5 49/18 3/5 2/3 79/29 1/2 2/3 30/11 2/3 71/26 4/5 1/1 41/15 2/3 1/1 11/4 2/3 1/1 36/13 0/1 61/22 1/2 4/7 25/9 1/1 39/14 0/1 1/1 53/19 0/1 1/0 120/43 0/1 67/24 0/1 1/3 81/29 0/1 1/2 14/5 1/2 45/16 2/3 31/11 1/1 1/0 79/28 0/1 1/1 48/17 0/1 17/6 0/1 1/1 37/13 0/1 1/2 20/7 1/2 3/1 1/2 1/1 22/7 1/2 19/6 0/1 1/2 35/11 1/1 16/5 1/2 45/14 2/3 29/9 0/1 1/2 42/13 1/2 55/17 3/5 1/1 13/4 2/3 1/1 36/11 0/1 23/7 1/2 2/3 33/10 1/2 2/3 10/3 1/1 47/14 0/1 1/0 84/25 1/1 121/36 0/1 1/1 37/11 0/1 1/0 64/19 0/1 27/8 0/1 1/1 17/5 2/3 1/1 41/12 0/1 1/1 65/19 1/1 89/26 1/1 2/1 24/7 0/1 79/23 0/1 1/2 55/16 0/1 31/9 1/3 1/2 38/11 1/2 45/13 1/3 1/1 7/2 1/2 2/3 46/13 3/4 39/11 2/3 1/1 32/9 1/1 57/16 0/1 1/1 25/7 3/5 1/1 93/26 3/5 2/3 161/45 1/2 2/3 68/19 2/3 43/12 2/3 5/7 61/17 3/4 1/1 18/5 3/4 83/23 3/4 1/1 148/41 1/1 65/18 3/4 112/31 4/5 47/13 3/4 1/1 123/34 4/5 1/1 199/55 4/5 1/1 76/21 4/5 29/8 6/7 1/1 40/11 1/1 11/3 1/1 1/0 26/7 1/2 93/25 4/5 1/1 160/43 1/1 67/18 1/1 2/1 41/11 0/1 1/1 15/4 0/1 49/13 1/2 1/1 34/9 1/4 19/5 3/7 1/2 80/21 1/2 61/16 1/2 14/27 42/11 1/2 23/6 4/7 3/5 4/1 1/1 29/7 0/1 1/4 25/6 0/1 21/5 3/7 1/2 80/19 1/2 59/14 1/2 12/23 38/9 1/2 55/13 5/9 3/5 17/4 3/5 2/3 13/3 2/3 1/1 22/5 5/6 31/7 11/12 1/1 40/9 1/1 9/2 1/1 2/1 41/9 0/1 1/1 32/7 1/1 23/5 0/1 1/0 60/13 0/1 37/8 0/1 1/3 51/11 0/1 1/0 65/14 0/1 79/17 0/1 1/2 14/3 1/2 33/7 1/2 3/5 52/11 2/3 71/15 1/2 2/3 19/4 1/2 2/3 5/1 1/1 21/4 0/1 1/0 37/7 0/1 1/2 16/3 0/1 43/8 0/1 1/1 27/5 0/1 1/2 65/12 1/2 38/7 1/2 11/2 2/3 1/1 17/3 6/7 1/1 40/7 1/1 23/4 1/1 8/7 6/1 1/0 19/3 1/2 3/5 13/2 2/3 1/1 33/5 5/6 1/1 20/3 1/1 7/1 1/1 1/0 15/2 1/2 38/5 1/2 23/3 1/2 2/3 8/1 1/1 9/1 0/1 1/2 10/1 1/1 1/0 0/1 1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(41,440,-26,-279) (-9/1,1/0) -> (-71/45,-41/26) Hyperbolic Matrix(41,360,32,281) (-9/1,-8/1) -> (32/25,9/7) Hyperbolic Matrix(39,280,-28,-201) (-8/1,-7/1) -> (-7/5,-32/23) Hyperbolic Matrix(41,280,6,41) (-7/1,-20/3) -> (20/3,7/1) Hyperbolic Matrix(159,1040,-98,-641) (-20/3,-13/2) -> (-13/8,-60/37) Hyperbolic Matrix(119,760,-44,-281) (-13/2,-6/1) -> (-46/17,-27/10) Hyperbolic Matrix(201,1160,118,681) (-6/1,-23/4) -> (17/10,46/27) Hyperbolic Matrix(321,1840,56,321) (-23/4,-40/7) -> (40/7,23/4) Hyperbolic Matrix(239,1360,42,239) (-40/7,-17/3) -> (17/3,40/7) Hyperbolic Matrix(121,680,50,281) (-17/3,-11/2) -> (29/12,17/7) Hyperbolic Matrix(161,880,88,481) (-11/2,-38/7) -> (42/23,11/6) Hyperbolic Matrix(561,3040,74,401) (-38/7,-65/12) -> (15/2,38/5) Hyperbolic Matrix(961,5200,562,3041) (-65/12,-27/5) -> (53/31,65/38) Hyperbolic Matrix(401,2160,-282,-1519) (-27/5,-16/3) -> (-64/45,-27/19) Hyperbolic Matrix(39,200,-8,-41) (-16/3,-5/1) -> (-5/1,-24/5) Parabolic Matrix(761,3640,226,1081) (-24/5,-43/9) -> (37/11,64/19) Hyperbolic Matrix(721,3440,520,2481) (-43/9,-19/4) -> (61/44,43/31) Hyperbolic Matrix(599,2840,-228,-1081) (-19/4,-52/11) -> (-92/35,-21/8) Hyperbolic Matrix(559,2640,220,1039) (-52/11,-33/7) -> (33/13,28/11) Hyperbolic Matrix(281,1320,162,761) (-33/7,-14/3) -> (26/15,33/19) Hyperbolic Matrix(639,2960,-242,-1121) (-14/3,-37/8) -> (-37/14,-66/25) Hyperbolic Matrix(199,920,-130,-601) (-37/8,-23/5) -> (-23/15,-3/2) Hyperbolic Matrix(559,2560,-402,-1841) (-23/5,-32/7) -> (-32/23,-57/41) Hyperbolic Matrix(561,2560,158,721) (-32/7,-41/9) -> (39/11,32/9) Hyperbolic Matrix(721,3280,264,1201) (-41/9,-9/2) -> (71/26,41/15) Hyperbolic Matrix(119,520,-46,-201) (-9/2,-13/3) -> (-13/5,-31/12) Hyperbolic Matrix(121,520,84,361) (-13/3,-17/4) -> (23/16,13/9) Hyperbolic Matrix(519,2200,-406,-1721) (-17/4,-38/9) -> (-78/61,-23/18) Hyperbolic Matrix(721,3040,-550,-2319) (-38/9,-21/5) -> (-59/45,-38/29) Hyperbolic Matrix(401,1680,-248,-1039) (-21/5,-4/1) -> (-76/47,-21/13) Hyperbolic Matrix(281,1080,198,761) (-4/1,-23/6) -> (17/12,44/31) Hyperbolic Matrix(199,760,94,359) (-23/6,-42/11) -> (2/1,17/8) Hyperbolic Matrix(881,3360,-650,-2479) (-42/11,-19/5) -> (-61/45,-42/31) Hyperbolic Matrix(201,760,32,121) (-19/5,-34/9) -> (6/1,19/3) Hyperbolic Matrix(1241,4680,520,1961) (-34/9,-49/13) -> (31/13,74/31) Hyperbolic Matrix(839,3160,244,919) (-49/13,-15/4) -> (55/16,31/9) Hyperbolic Matrix(119,440,-76,-281) (-15/4,-11/3) -> (-11/7,-25/16) Hyperbolic Matrix(241,880,66,241) (-11/3,-40/11) -> (40/11,11/3) Hyperbolic Matrix(639,2320,176,639) (-40/11,-29/8) -> (29/8,40/11) Hyperbolic Matrix(519,1880,-188,-681) (-29/8,-47/13) -> (-47/17,-11/4) Hyperbolic Matrix(3121,11280,1926,6961) (-47/13,-112/31) -> (128/79,47/29) Hyperbolic Matrix(1041,3760,554,2001) (-112/31,-65/18) -> (15/8,32/17) Hyperbolic Matrix(521,1880,-166,-599) (-65/18,-18/5) -> (-22/7,-25/8) Hyperbolic Matrix(279,1000,-190,-681) (-18/5,-43/12) -> (-3/2,-22/15) Hyperbolic Matrix(961,3440,-402,-1439) (-43/12,-25/7) -> (-55/23,-43/18) Hyperbolic Matrix(719,2560,-562,-2001) (-25/7,-32/9) -> (-32/25,-55/43) Hyperbolic Matrix(721,2560,158,561) (-32/9,-39/11) -> (41/9,32/7) Hyperbolic Matrix(1041,3680,-656,-2319) (-39/11,-7/2) -> (-73/46,-119/75) Hyperbolic Matrix(1039,3600,854,2959) (-7/2,-45/13) -> (45/37,73/60) Hyperbolic Matrix(1399,4840,520,1799) (-45/13,-38/11) -> (78/29,35/13) Hyperbolic Matrix(719,2480,394,1359) (-38/11,-31/9) -> (31/17,42/23) Hyperbolic Matrix(919,3160,244,839) (-31/9,-55/16) -> (15/4,49/13) Hyperbolic Matrix(4761,16360,-1804,-6199) (-55/16,-79/23) -> (-161/61,-95/36) Hyperbolic Matrix(1841,6320,1282,4401) (-79/23,-24/7) -> (56/39,79/55) Hyperbolic Matrix(959,3280,-702,-2401) (-24/7,-41/12) -> (-41/30,-56/41) Hyperbolic Matrix(399,1360,164,559) (-41/12,-17/5) -> (17/7,39/16) Hyperbolic Matrix(201,680,154,521) (-17/5,-27/8) -> (13/10,17/13) Hyperbolic Matrix(641,2160,-522,-1759) (-27/8,-37/11) -> (-43/35,-27/22) Hyperbolic Matrix(441,1480,-250,-839) (-37/11,-10/3) -> (-30/17,-37/21) Hyperbolic Matrix(279,920,-158,-521) (-10/3,-23/7) -> (-23/13,-30/17) Hyperbolic Matrix(281,920,208,681) (-23/7,-36/11) -> (4/3,23/17) Hyperbolic Matrix(319,1040,196,639) (-36/11,-13/4) -> (13/8,44/27) Hyperbolic Matrix(1681,5440,470,1521) (-13/4,-55/17) -> (25/7,93/26) Hyperbolic Matrix(1361,4400,322,1041) (-55/17,-42/13) -> (38/9,55/13) Hyperbolic Matrix(719,2320,322,1039) (-42/13,-29/9) -> (29/13,38/17) Hyperbolic Matrix(361,1160,-286,-919) (-29/9,-16/5) -> (-24/19,-29/23) Hyperbolic Matrix(479,1520,-202,-641) (-16/5,-19/6) -> (-19/8,-64/27) Hyperbolic Matrix(559,1760,330,1039) (-19/6,-22/7) -> (22/13,61/36) Hyperbolic Matrix(681,2120,-398,-1239) (-25/8,-3/1) -> (-77/45,-65/38) Hyperbolic Matrix(41,120,14,41) (-3/1,-20/7) -> (20/7,3/1) Hyperbolic Matrix(521,1480,-408,-1159) (-20/7,-17/6) -> (-23/18,-60/47) Hyperbolic Matrix(439,1240,382,1079) (-17/6,-48/17) -> (8/7,23/20) Hyperbolic Matrix(2241,6320,-1418,-3999) (-48/17,-31/11) -> (-49/31,-128/81) Hyperbolic Matrix(1321,3720,810,2281) (-31/11,-45/16) -> (75/46,31/19) Hyperbolic Matrix(441,1240,356,1001) (-45/16,-14/5) -> (26/21,5/4) Hyperbolic Matrix(801,2240,172,481) (-14/5,-81/29) -> (79/17,14/3) Hyperbolic Matrix(6561,18320,1834,5121) (-81/29,-67/24) -> (93/26,161/45) Hyperbolic Matrix(5761,16080,2064,5761) (-67/24,-120/43) -> (120/43,67/24) Hyperbolic Matrix(4559,12720,1634,4559) (-120/43,-53/19) -> (53/19,120/43) Hyperbolic Matrix(1521,4240,890,2481) (-53/19,-39/14) -> (41/24,53/31) Hyperbolic Matrix(719,2000,316,879) (-39/14,-25/9) -> (25/11,41/18) Hyperbolic Matrix(361,1000,-274,-759) (-25/9,-36/13) -> (-4/3,-25/19) Hyperbolic Matrix(2039,5640,-1432,-3961) (-36/13,-47/17) -> (-47/33,-84/59) Hyperbolic Matrix(599,1640,248,679) (-11/4,-41/15) -> (41/17,29/12) Hyperbolic Matrix(1201,3280,264,721) (-41/15,-71/26) -> (9/2,41/9) Hyperbolic Matrix(2081,5680,1290,3521) (-71/26,-30/11) -> (50/31,71/44) Hyperbolic Matrix(559,1520,-324,-881) (-30/11,-19/7) -> (-19/11,-50/29) Hyperbolic Matrix(561,1520,148,401) (-19/7,-46/17) -> (34/9,19/5) Hyperbolic Matrix(519,1400,400,1079) (-27/10,-35/13) -> (35/27,13/10) Hyperbolic Matrix(239,640,-90,-241) (-35/13,-8/3) -> (-8/3,-45/17) Parabolic Matrix(2041,5400,590,1561) (-45/17,-82/31) -> (38/11,45/13) Hyperbolic Matrix(9679,25600,-6080,-16081) (-82/31,-119/45) -> (-199/125,-78/49) Hyperbolic Matrix(8321,22000,2300,6081) (-119/45,-37/14) -> (123/34,199/55) Hyperbolic Matrix(2879,7600,1030,2719) (-66/25,-161/61) -> (81/29,14/5) Hyperbolic Matrix(1319,3480,318,839) (-95/36,-29/11) -> (29/7,25/6) Hyperbolic Matrix(1321,3480,-774,-2039) (-29/11,-50/19) -> (-70/41,-29/17) Hyperbolic Matrix(441,1160,46,121) (-50/19,-71/27) -> (9/1,10/1) Hyperbolic Matrix(1719,4520,958,2519) (-71/27,-92/35) -> (52/29,9/5) Hyperbolic Matrix(641,1680,-488,-1279) (-21/8,-55/21) -> (-25/19,-21/16) Hyperbolic Matrix(1039,2720,458,1199) (-55/21,-34/13) -> (34/15,25/11) Hyperbolic Matrix(199,520,168,439) (-34/13,-13/5) -> (13/11,6/5) Hyperbolic Matrix(559,1440,-342,-881) (-31/12,-18/7) -> (-18/11,-49/30) Hyperbolic Matrix(1481,3800,-1200,-3079) (-18/7,-59/23) -> (-21/17,-58/47) Hyperbolic Matrix(4601,11800,1794,4601) (-59/23,-100/39) -> (100/39,59/23) Hyperbolic Matrix(3121,8000,1280,3281) (-100/39,-41/16) -> (39/16,100/41) Hyperbolic Matrix(719,1840,406,1039) (-41/16,-23/9) -> (23/13,39/22) Hyperbolic Matrix(721,1840,596,1521) (-23/9,-51/20) -> (29/24,23/19) Hyperbolic Matrix(2479,6320,-1538,-3921) (-51/20,-28/11) -> (-108/67,-29/18) Hyperbolic Matrix(1039,2640,220,559) (-28/11,-33/13) -> (33/7,52/11) Hyperbolic Matrix(1199,3040,536,1359) (-33/13,-38/15) -> (38/17,47/21) Hyperbolic Matrix(839,2120,522,1319) (-38/15,-5/2) -> (45/28,82/51) Hyperbolic Matrix(439,1080,276,679) (-5/2,-27/11) -> (27/17,35/22) Hyperbolic Matrix(719,1760,-556,-1361) (-27/11,-22/9) -> (-22/17,-53/41) Hyperbolic Matrix(999,2440,278,679) (-22/9,-61/25) -> (61/17,18/5) Hyperbolic Matrix(5001,12200,2050,5001) (-61/25,-100/41) -> (100/41,61/25) Hyperbolic Matrix(3281,8000,1280,3121) (-100/41,-39/16) -> (41/16,100/39) Hyperbolic Matrix(559,1360,164,399) (-39/16,-17/7) -> (17/5,41/12) Hyperbolic Matrix(281,680,50,121) (-17/7,-29/12) -> (11/2,17/3) Hyperbolic Matrix(679,1640,248,599) (-29/12,-41/17) -> (41/15,11/4) Hyperbolic Matrix(2041,4920,548,1321) (-41/17,-53/22) -> (67/18,41/11) Hyperbolic Matrix(681,1640,316,761) (-53/22,-12/5) -> (28/13,13/6) Hyperbolic Matrix(3959,9480,-2456,-5881) (-12/5,-67/28) -> (-187/116,-108/67) Hyperbolic Matrix(1839,4400,568,1359) (-67/28,-55/23) -> (55/17,13/4) Hyperbolic Matrix(4959,11840,-2882,-6881) (-43/18,-74/31) -> (-74/43,-117/68) Hyperbolic Matrix(1961,4680,520,1241) (-74/31,-31/13) -> (49/13,34/9) Hyperbolic Matrix(639,1520,-404,-961) (-31/13,-19/8) -> (-19/12,-49/31) Hyperbolic Matrix(1401,3320,760,1801) (-64/27,-45/19) -> (35/19,24/13) Hyperbolic Matrix(761,1800,-490,-1159) (-45/19,-26/11) -> (-14/9,-45/29) Hyperbolic Matrix(881,2080,712,1681) (-26/11,-59/25) -> (21/17,26/21) Hyperbolic Matrix(3119,7360,1932,4559) (-59/25,-92/39) -> (92/57,21/13) Hyperbolic Matrix(3239,7640,2662,6279) (-92/39,-33/14) -> (73/60,28/23) Hyperbolic Matrix(1121,2640,476,1121) (-33/14,-40/17) -> (40/17,33/14) Hyperbolic Matrix(239,560,102,239) (-40/17,-7/3) -> (7/3,40/17) Hyperbolic Matrix(121,280,-86,-199) (-7/3,-16/7) -> (-24/17,-7/5) Hyperbolic Matrix(561,1280,316,721) (-16/7,-41/18) -> (39/22,16/9) Hyperbolic Matrix(879,2000,316,719) (-41/18,-25/11) -> (25/9,39/14) Hyperbolic Matrix(1199,2720,458,1039) (-25/11,-34/15) -> (34/13,55/21) Hyperbolic Matrix(761,1720,-442,-999) (-34/15,-9/4) -> (-31/18,-74/43) Hyperbolic Matrix(2001,4480,1394,3121) (-9/4,-47/21) -> (33/23,89/62) Hyperbolic Matrix(1359,3040,536,1199) (-47/21,-38/17) -> (38/15,33/13) Hyperbolic Matrix(1039,2320,322,719) (-38/17,-29/13) -> (29/9,42/13) Hyperbolic Matrix(521,1160,234,521) (-29/13,-20/9) -> (20/9,29/13) Hyperbolic Matrix(199,440,90,199) (-20/9,-11/5) -> (11/5,20/9) Hyperbolic Matrix(201,440,-164,-359) (-11/5,-13/6) -> (-27/22,-11/9) Hyperbolic Matrix(761,1640,316,681) (-13/6,-28/13) -> (12/5,53/22) Hyperbolic Matrix(1599,3440,892,1919) (-28/13,-43/20) -> (43/24,52/29) Hyperbolic Matrix(1881,4040,1360,2921) (-43/20,-15/7) -> (65/47,83/60) Hyperbolic Matrix(281,600,244,521) (-15/7,-17/8) -> (23/20,15/13) Hyperbolic Matrix(359,760,94,199) (-17/8,-2/1) -> (42/11,23/6) Hyperbolic Matrix(359,680,274,519) (-2/1,-17/9) -> (17/13,38/29) Hyperbolic Matrix(361,680,-318,-599) (-17/9,-15/8) -> (-25/22,-17/15) Hyperbolic Matrix(921,1720,536,1001) (-15/8,-28/15) -> (12/7,55/32) Hyperbolic Matrix(1201,2240,-986,-1839) (-28/15,-13/7) -> (-67/55,-28/23) Hyperbolic Matrix(281,520,-194,-359) (-13/7,-11/6) -> (-29/20,-13/9) Hyperbolic Matrix(481,880,88,161) (-11/6,-42/23) -> (38/7,11/2) Hyperbolic Matrix(1359,2480,394,719) (-42/23,-31/17) -> (31/9,38/11) Hyperbolic Matrix(681,1240,374,681) (-31/17,-20/11) -> (20/11,31/17) Hyperbolic Matrix(199,360,110,199) (-20/11,-9/5) -> (9/5,20/11) Hyperbolic Matrix(2319,4160,490,879) (-9/5,-52/29) -> (52/11,71/15) Hyperbolic Matrix(1919,3440,892,1599) (-52/29,-43/24) -> (43/20,28/13) Hyperbolic Matrix(5761,10320,3216,5761) (-43/24,-120/67) -> (120/67,43/24) Hyperbolic Matrix(10319,18480,5762,10319) (-120/67,-77/43) -> (77/43,120/67) Hyperbolic Matrix(3039,5440,2234,3999) (-77/43,-34/19) -> (34/25,83/61) Hyperbolic Matrix(1521,2720,940,1681) (-34/19,-25/14) -> (55/34,34/21) Hyperbolic Matrix(919,1640,246,439) (-25/14,-41/23) -> (41/11,15/4) Hyperbolic Matrix(719,1280,314,559) (-41/23,-16/9) -> (16/7,39/17) Hyperbolic Matrix(721,1280,316,561) (-16/9,-39/22) -> (41/18,16/7) Hyperbolic Matrix(1039,1840,406,719) (-39/22,-23/13) -> (23/9,41/16) Hyperbolic Matrix(1479,2600,-1070,-1881) (-37/21,-7/4) -> (-47/34,-123/89) Hyperbolic Matrix(321,560,184,321) (-7/4,-40/23) -> (40/23,7/4) Hyperbolic Matrix(1519,2640,874,1519) (-40/23,-33/19) -> (33/19,40/23) Hyperbolic Matrix(761,1320,162,281) (-33/19,-26/15) -> (14/3,33/7) Hyperbolic Matrix(439,760,346,599) (-26/15,-19/11) -> (19/15,14/11) Hyperbolic Matrix(441,760,-394,-679) (-50/29,-31/18) -> (-9/8,-10/9) Hyperbolic Matrix(14879,25600,6230,10719) (-117/68,-160/93) -> (160/67,43/18) Hyperbolic Matrix(14881,25600,6232,10721) (-160/93,-43/25) -> (117/49,160/67) Hyperbolic Matrix(2001,3440,-1442,-2479) (-43/25,-12/7) -> (-68/49,-43/31) Hyperbolic Matrix(5281,9040,3272,5601) (-12/7,-77/45) -> (163/101,92/57) Hyperbolic Matrix(3041,5200,562,961) (-65/38,-53/31) -> (27/5,65/12) Hyperbolic Matrix(2481,4240,890,1521) (-53/31,-41/24) -> (39/14,53/19) Hyperbolic Matrix(4521,7720,1898,3241) (-41/24,-70/41) -> (50/21,81/34) Hyperbolic Matrix(2041,3480,634,1081) (-29/17,-75/44) -> (45/14,29/9) Hyperbolic Matrix(10561,18000,6478,11041) (-75/44,-121/71) -> (119/73,75/46) Hyperbolic Matrix(4319,7360,1220,2079) (-121/71,-46/27) -> (46/13,39/11) Hyperbolic Matrix(681,1160,118,201) (-46/27,-17/10) -> (23/4,6/1) Hyperbolic Matrix(119,200,-72,-121) (-17/10,-5/3) -> (-5/3,-23/14) Parabolic Matrix(1121,1840,488,801) (-23/14,-41/25) -> (39/17,23/10) Hyperbolic Matrix(4879,8000,2878,4719) (-41/25,-100/61) -> (100/59,39/23) Hyperbolic Matrix(8761,14360,-6320,-10359) (-100/61,-59/36) -> (-61/44,-140/101) Hyperbolic Matrix(1001,1640,318,521) (-59/36,-18/11) -> (22/7,19/6) Hyperbolic Matrix(1641,2680,368,601) (-49/30,-80/49) -> (40/9,9/2) Hyperbolic Matrix(2279,3720,514,839) (-80/49,-31/19) -> (31/7,40/9) Hyperbolic Matrix(2281,3720,810,1321) (-31/19,-75/46) -> (45/16,31/11) Hyperbolic Matrix(11041,18000,6478,10561) (-75/46,-119/73) -> (121/71,75/44) Hyperbolic Matrix(9399,15320,-6602,-10761) (-119/73,-44/27) -> (-84/59,-121/85) Hyperbolic Matrix(639,1040,196,319) (-44/27,-13/8) -> (13/4,36/11) Hyperbolic Matrix(1801,2920,272,441) (-60/37,-47/29) -> (33/5,20/3) Hyperbolic Matrix(6961,11280,1926,3121) (-47/29,-128/79) -> (112/31,47/13) Hyperbolic Matrix(8641,14000,3062,4961) (-128/79,-81/50) -> (79/28,48/17) Hyperbolic Matrix(17039,27600,-12002,-19441) (-81/50,-115/71) -> (-115/81,-159/112) Hyperbolic Matrix(4001,6480,2174,3521) (-115/71,-34/21) -> (46/25,35/19) Hyperbolic Matrix(1681,2720,940,1521) (-34/21,-55/34) -> (25/14,34/19) Hyperbolic Matrix(7519,12160,-5442,-8801) (-55/34,-76/47) -> (-76/55,-105/76) Hyperbolic Matrix(4559,7360,1932,3119) (-21/13,-92/57) -> (92/39,59/25) Hyperbolic Matrix(8601,13880,-6320,-10199) (-92/57,-71/44) -> (-49/36,-132/97) Hyperbolic Matrix(3521,5680,1290,2081) (-71/44,-50/31) -> (30/11,71/26) Hyperbolic Matrix(3919,6320,1438,2319) (-50/31,-79/49) -> (79/29,30/11) Hyperbolic Matrix(12679,20440,4540,7319) (-79/49,-187/116) -> (67/24,81/29) Hyperbolic Matrix(919,1480,670,1079) (-29/18,-37/23) -> (37/27,11/8) Hyperbolic Matrix(399,640,-250,-401) (-37/23,-8/5) -> (-8/5,-43/27) Parabolic Matrix(6079,9680,1808,2879) (-43/27,-121/76) -> (121/36,37/11) Hyperbolic Matrix(64319,102400,23918,38079) (-121/76,-320/201) -> (320/119,199/74) Hyperbolic Matrix(64321,102400,23920,38081) (-320/201,-199/125) -> (121/45,320/119) Hyperbolic Matrix(1081,1720,428,681) (-78/49,-35/22) -> (5/2,38/15) Hyperbolic Matrix(679,1080,276,439) (-35/22,-27/17) -> (27/11,5/2) Hyperbolic Matrix(1361,2160,1160,1841) (-27/17,-73/46) -> (7/6,27/23) Hyperbolic Matrix(6959,11040,4084,6479) (-119/75,-46/29) -> (46/27,121/71) Hyperbolic Matrix(959,1520,706,1119) (-46/29,-19/12) -> (19/14,34/25) Hyperbolic Matrix(12961,20480,8000,12641) (-128/81,-79/50) -> (81/50,128/79) Hyperbolic Matrix(4001,6320,1520,2401) (-79/50,-30/19) -> (50/19,79/30) Hyperbolic Matrix(3599,5680,1368,2159) (-30/19,-71/45) -> (71/27,50/19) Hyperbolic Matrix(559,880,-458,-721) (-41/26,-11/7) -> (-11/9,-39/32) Hyperbolic Matrix(1281,2000,718,1121) (-25/16,-39/25) -> (41/23,25/14) Hyperbolic Matrix(2719,4240,1128,1759) (-39/25,-53/34) -> (53/22,41/17) Hyperbolic Matrix(1721,2680,-1258,-1959) (-53/34,-14/9) -> (-26/19,-93/68) Hyperbolic Matrix(4359,6760,-3070,-4761) (-45/29,-31/20) -> (-71/50,-115/81) Hyperbolic Matrix(439,680,-388,-601) (-31/20,-17/11) -> (-17/15,-9/8) Hyperbolic Matrix(441,680,286,441) (-17/11,-20/13) -> (20/13,17/11) Hyperbolic Matrix(1199,1840,260,399) (-20/13,-23/15) -> (23/5,60/13) Hyperbolic Matrix(1201,1760,492,721) (-22/15,-19/13) -> (61/25,22/9) Hyperbolic Matrix(521,760,412,601) (-19/13,-16/11) -> (24/19,19/15) Hyperbolic Matrix(881,1280,276,401) (-16/11,-45/31) -> (35/11,16/5) Hyperbolic Matrix(1599,2320,-1324,-1921) (-45/31,-29/20) -> (-29/24,-35/29) Hyperbolic Matrix(361,520,84,121) (-13/9,-23/16) -> (17/4,13/3) Hyperbolic Matrix(4399,6320,3396,4879) (-23/16,-79/55) -> (79/61,57/44) Hyperbolic Matrix(4401,6320,1282,1841) (-79/55,-56/39) -> (24/7,79/23) Hyperbolic Matrix(4959,7120,1448,2079) (-56/39,-89/62) -> (89/26,24/7) Hyperbolic Matrix(3121,4480,1394,2001) (-89/62,-33/23) -> (47/21,9/4) Hyperbolic Matrix(559,800,-392,-561) (-33/23,-10/7) -> (-10/7,-47/33) Parabolic Matrix(6801,9680,2530,3601) (-121/85,-37/26) -> (43/16,121/45) Hyperbolic Matrix(2081,2960,1688,2401) (-37/26,-64/45) -> (16/13,37/30) Hyperbolic Matrix(2281,3240,930,1321) (-27/19,-71/50) -> (49/20,27/11) Hyperbolic Matrix(13159,18680,3916,5559) (-159/112,-44/31) -> (84/25,121/36) Hyperbolic Matrix(761,1080,198,281) (-44/31,-17/12) -> (23/6,4/1) Hyperbolic Matrix(961,1360,566,801) (-17/12,-41/29) -> (39/23,17/10) Hyperbolic Matrix(1161,1640,652,921) (-41/29,-24/17) -> (16/9,41/23) Hyperbolic Matrix(3079,4280,-2274,-3161) (-57/41,-25/18) -> (-65/48,-23/17) Hyperbolic Matrix(1239,1720,662,919) (-25/18,-68/49) -> (28/15,15/8) Hyperbolic Matrix(2279,3160,432,599) (-43/31,-61/44) -> (21/4,37/7) Hyperbolic Matrix(21961,30440,12958,17961) (-140/101,-79/57) -> (161/95,100/59) Hyperbolic Matrix(2281,3160,1762,2441) (-79/57,-18/13) -> (22/17,79/61) Hyperbolic Matrix(839,1160,-724,-1001) (-18/13,-47/34) -> (-7/6,-22/19) Hyperbolic Matrix(15919,22000,9898,13679) (-123/89,-199/144) -> (119/74,37/23) Hyperbolic Matrix(25559,35320,10796,14919) (-199/144,-76/55) -> (116/49,161/68) Hyperbolic Matrix(5241,7240,1130,1561) (-105/76,-29/21) -> (51/11,65/14) Hyperbolic Matrix(1681,2320,1218,1681) (-29/21,-40/29) -> (40/29,29/21) Hyperbolic Matrix(639,880,464,639) (-40/29,-11/8) -> (11/8,40/29) Hyperbolic Matrix(1079,1480,670,919) (-11/8,-37/27) -> (37/23,29/18) Hyperbolic Matrix(1081,1480,848,1161) (-37/27,-26/19) -> (14/11,37/29) Hyperbolic Matrix(18719,25600,5030,6879) (-93/68,-160/117) -> (160/43,67/18) Hyperbolic Matrix(18721,25600,5032,6881) (-160/117,-67/49) -> (93/25,160/43) Hyperbolic Matrix(3921,5360,-3218,-4399) (-67/49,-41/30) -> (-39/32,-67/55) Hyperbolic Matrix(1319,1800,-968,-1321) (-56/41,-15/11) -> (-15/11,-64/47) Parabolic Matrix(6199,8440,4318,5879) (-64/47,-49/36) -> (89/62,56/39) Hyperbolic Matrix(17079,23240,4732,6439) (-132/97,-83/61) -> (83/23,148/41) Hyperbolic Matrix(3999,5440,2234,3039) (-83/61,-34/25) -> (34/19,77/43) Hyperbolic Matrix(1119,1520,706,959) (-34/25,-19/14) -> (19/12,46/29) Hyperbolic Matrix(4719,6400,1238,1679) (-19/14,-80/59) -> (80/21,61/16) Hyperbolic Matrix(4721,6400,1240,1681) (-80/59,-61/45) -> (19/5,80/21) Hyperbolic Matrix(3839,5200,708,959) (-42/31,-65/48) -> (65/12,38/7) Hyperbolic Matrix(681,920,208,281) (-23/17,-4/3) -> (36/11,23/7) Hyperbolic Matrix(4879,6400,1158,1519) (-21/16,-80/61) -> (80/19,59/14) Hyperbolic Matrix(4881,6400,1160,1521) (-80/61,-59/45) -> (21/5,80/19) Hyperbolic Matrix(519,680,274,359) (-38/29,-17/13) -> (17/9,2/1) Hyperbolic Matrix(521,680,154,201) (-17/13,-13/10) -> (27/8,17/5) Hyperbolic Matrix(1079,1400,400,519) (-13/10,-35/27) -> (35/13,27/10) Hyperbolic Matrix(2439,3160,2006,2599) (-35/27,-57/44) -> (17/14,45/37) Hyperbolic Matrix(4879,6320,3396,4399) (-57/44,-79/61) -> (79/55,23/16) Hyperbolic Matrix(2441,3160,1762,2281) (-79/61,-22/17) -> (18/13,79/57) Hyperbolic Matrix(3559,4600,2506,3239) (-53/41,-31/24) -> (71/50,27/19) Hyperbolic Matrix(1921,2480,1488,1921) (-31/24,-40/31) -> (40/31,31/24) Hyperbolic Matrix(559,720,434,559) (-40/31,-9/7) -> (9/7,40/31) Hyperbolic Matrix(281,360,32,41) (-9/7,-32/25) -> (8/1,9/1) Hyperbolic Matrix(5161,6600,1596,2041) (-55/43,-78/61) -> (42/13,55/17) Hyperbolic Matrix(2319,2960,814,1039) (-60/47,-37/29) -> (37/13,20/7) Hyperbolic Matrix(1161,1480,848,1081) (-37/29,-14/11) -> (26/19,37/27) Hyperbolic Matrix(599,760,346,439) (-14/11,-19/15) -> (19/11,26/15) Hyperbolic Matrix(601,760,412,521) (-19/15,-24/19) -> (16/11,19/13) Hyperbolic Matrix(1841,2320,1080,1361) (-29/23,-5/4) -> (75/44,29/17) Hyperbolic Matrix(1001,1240,356,441) (-5/4,-26/21) -> (14/5,45/16) Hyperbolic Matrix(1681,2080,712,881) (-26/21,-21/17) -> (59/25,26/11) Hyperbolic Matrix(4441,5480,3210,3961) (-58/47,-37/30) -> (83/60,18/13) Hyperbolic Matrix(1039,1280,194,239) (-37/30,-16/13) -> (16/3,43/8) Hyperbolic Matrix(1041,1280,196,241) (-16/13,-43/35) -> (37/7,16/3) Hyperbolic Matrix(6279,7640,2662,3239) (-28/23,-73/60) -> (33/14,92/39) Hyperbolic Matrix(2959,3600,854,1039) (-73/60,-45/37) -> (45/13,7/2) Hyperbolic Matrix(2599,3160,2006,2439) (-45/37,-17/14) -> (57/44,35/27) Hyperbolic Matrix(1121,1360,924,1121) (-17/14,-40/33) -> (40/33,17/14) Hyperbolic Matrix(1519,1840,1254,1519) (-40/33,-23/19) -> (23/19,40/33) Hyperbolic Matrix(1521,1840,596,721) (-23/19,-29/24) -> (51/20,23/9) Hyperbolic Matrix(1561,1880,964,1161) (-35/29,-6/5) -> (34/21,115/71) Hyperbolic Matrix(439,520,168,199) (-6/5,-13/11) -> (13/5,34/13) Hyperbolic Matrix(441,520,374,441) (-13/11,-20/17) -> (20/17,13/11) Hyperbolic Matrix(919,1080,782,919) (-20/17,-27/23) -> (27/23,20/17) Hyperbolic Matrix(1841,2160,1160,1361) (-27/23,-7/6) -> (73/46,27/17) Hyperbolic Matrix(2039,2360,794,919) (-22/19,-37/32) -> (77/30,18/7) Hyperbolic Matrix(1039,1200,484,559) (-37/32,-15/13) -> (15/7,43/20) Hyperbolic Matrix(521,600,244,281) (-15/13,-23/20) -> (17/8,15/7) Hyperbolic Matrix(1079,1240,382,439) (-23/20,-8/7) -> (48/17,17/6) Hyperbolic Matrix(2919,3320,808,919) (-8/7,-25/22) -> (65/18,112/31) Hyperbolic Matrix(761,840,472,521) (-10/9,-1/1) -> (79/49,50/31) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(681,-760,250,-279) (1/1,9/8) -> (49/18,79/29) Hyperbolic Matrix(601,-680,388,-439) (9/8,8/7) -> (48/31,31/20) Hyperbolic Matrix(1001,-1160,724,-839) (15/13,7/6) -> (47/34,65/47) Hyperbolic Matrix(1159,-1400,630,-761) (6/5,29/24) -> (11/6,46/25) Hyperbolic Matrix(721,-880,458,-559) (28/23,11/9) -> (11/7,52/33) Hyperbolic Matrix(359,-440,164,-201) (11/9,16/13) -> (24/11,11/5) Hyperbolic Matrix(3079,-3800,1200,-1481) (37/30,21/17) -> (59/23,77/30) Hyperbolic Matrix(919,-1160,286,-361) (5/4,24/19) -> (16/5,45/14) Hyperbolic Matrix(1159,-1480,408,-521) (37/29,23/18) -> (17/6,37/13) Hyperbolic Matrix(2001,-2560,562,-719) (23/18,32/25) -> (32/9,57/16) Hyperbolic Matrix(1361,-1760,556,-719) (31/24,22/17) -> (22/9,49/20) Hyperbolic Matrix(2319,-3040,550,-721) (38/29,21/16) -> (59/14,38/9) Hyperbolic Matrix(759,-1000,274,-361) (21/16,4/3) -> (36/13,61/22) Hyperbolic Matrix(1359,-1840,178,-241) (23/17,42/31) -> (38/5,23/3) Hyperbolic Matrix(2479,-3360,650,-881) (42/31,19/14) -> (61/16,42/11) Hyperbolic Matrix(10199,-13880,6320,-8601) (83/61,49/36) -> (71/44,163/101) Hyperbolic Matrix(3319,-4520,970,-1321) (49/36,15/11) -> (65/19,89/26) Hyperbolic Matrix(2401,-3280,702,-959) (15/11,41/30) -> (41/12,65/19) Hyperbolic Matrix(2399,-3280,1288,-1761) (41/30,67/49) -> (13/7,41/22) Hyperbolic Matrix(3041,-4160,818,-1119) (67/49,26/19) -> (26/7,93/25) Hyperbolic Matrix(1679,-2320,406,-561) (29/21,76/55) -> (4/1,29/7) Hyperbolic Matrix(5441,-7520,1620,-2239) (76/55,47/34) -> (47/14,84/25) Hyperbolic Matrix(10561,-14640,6232,-8639) (79/57,61/44) -> (61/36,161/95) Hyperbolic Matrix(2479,-3440,1442,-2001) (43/31,25/18) -> (55/32,43/25) Hyperbolic Matrix(201,-280,28,-39) (25/18,7/5) -> (7/1,15/2) Hyperbolic Matrix(199,-280,86,-121) (7/5,17/12) -> (23/10,7/3) Hyperbolic Matrix(8001,-11360,3380,-4799) (44/31,71/50) -> (71/30,116/49) Hyperbolic Matrix(1519,-2160,282,-401) (27/19,37/26) -> (43/8,27/5) Hyperbolic Matrix(561,-800,392,-559) (37/26,10/7) -> (10/7,43/30) Parabolic Matrix(4239,-6080,1172,-1681) (43/30,33/23) -> (47/13,123/34) Hyperbolic Matrix(359,-520,194,-281) (13/9,16/11) -> (24/13,13/7) Hyperbolic Matrix(681,-1000,190,-279) (19/13,3/2) -> (43/12,61/17) Hyperbolic Matrix(601,-920,130,-199) (3/2,20/13) -> (60/13,37/8) Hyperbolic Matrix(879,-1360,466,-721) (17/11,48/31) -> (32/17,17/9) Hyperbolic Matrix(1159,-1800,490,-761) (31/20,14/9) -> (26/11,71/30) Hyperbolic Matrix(281,-440,76,-119) (14/9,11/7) -> (11/3,26/7) Hyperbolic Matrix(2081,-3280,1116,-1759) (52/33,41/26) -> (41/22,28/15) Hyperbolic Matrix(279,-440,26,-41) (41/26,30/19) -> (10/1,1/0) Hyperbolic Matrix(961,-1520,404,-639) (30/19,19/12) -> (19/8,50/21) Hyperbolic Matrix(2319,-3680,656,-1041) (46/29,73/46) -> (7/2,46/13) Hyperbolic Matrix(401,-640,250,-399) (35/22,8/5) -> (8/5,45/28) Parabolic Matrix(15921,-25600,5920,-9519) (82/51,119/74) -> (199/74,78/29) Hyperbolic Matrix(3921,-6320,1538,-2479) (29/18,79/49) -> (79/31,51/20) Hyperbolic Matrix(1039,-1680,248,-401) (21/13,55/34) -> (25/6,21/5) Hyperbolic Matrix(13681,-22160,5778,-9359) (115/71,81/50) -> (161/68,45/19) Hyperbolic Matrix(641,-1040,98,-159) (47/29,13/8) -> (13/2,33/5) Hyperbolic Matrix(10921,-17800,3018,-4919) (44/27,119/73) -> (199/55,76/21) Hyperbolic Matrix(759,-1240,172,-281) (31/19,18/11) -> (22/5,31/7) Hyperbolic Matrix(121,-200,72,-119) (18/11,5/3) -> (5/3,22/13) Parabolic Matrix(2039,-3480,774,-1321) (29/17,41/24) -> (79/30,29/11) Hyperbolic Matrix(6079,-10400,1684,-2881) (65/38,12/7) -> (148/41,65/18) Hyperbolic Matrix(999,-1720,442,-761) (43/25,31/18) -> (9/4,43/19) Hyperbolic Matrix(881,-1520,324,-559) (31/18,19/11) -> (19/7,49/18) Hyperbolic Matrix(521,-920,158,-279) (7/4,23/13) -> (23/7,33/10) Hyperbolic Matrix(681,-1480,202,-439) (13/6,24/11) -> (64/19,27/8) Hyperbolic Matrix(3161,-7160,1324,-2999) (43/19,34/15) -> (74/31,117/49) Hyperbolic Matrix(641,-1520,202,-479) (45/19,19/8) -> (19/6,35/11) Hyperbolic Matrix(2081,-4960,738,-1759) (81/34,31/13) -> (31/11,79/28) Hyperbolic Matrix(1439,-3440,402,-961) (43/18,12/5) -> (68/19,43/12) Hyperbolic Matrix(3879,-9880,1084,-2761) (28/11,79/31) -> (161/45,68/19) Hyperbolic Matrix(201,-520,46,-119) (18/7,13/5) -> (13/3,22/5) Hyperbolic Matrix(1481,-3880,534,-1399) (55/21,21/8) -> (61/22,25/9) Hyperbolic Matrix(1081,-2840,228,-599) (21/8,71/27) -> (71/15,19/4) Hyperbolic Matrix(1121,-2960,242,-639) (29/11,37/14) -> (37/8,51/11) Hyperbolic Matrix(241,-640,90,-239) (37/14,8/3) -> (8/3,43/16) Parabolic Matrix(281,-760,44,-119) (27/10,19/7) -> (19/3,13/2) Hyperbolic Matrix(681,-1880,188,-519) (11/4,36/13) -> (76/21,29/8) Hyperbolic Matrix(599,-1880,166,-521) (3/1,22/7) -> (18/5,83/23) Hyperbolic Matrix(241,-800,72,-239) (33/10,10/3) -> (10/3,47/14) Parabolic Matrix(2759,-9480,594,-2041) (79/23,55/16) -> (65/14,79/17) Hyperbolic Matrix(999,-3560,236,-841) (57/16,25/7) -> (55/13,17/4) Hyperbolic Matrix(201,-920,26,-119) (32/7,23/5) -> (23/3,8/1) Hyperbolic Matrix(41,-200,8,-39) (19/4,5/1) -> (5/1,21/4) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(41,440,-26,-279) -> Matrix(1,0,-2,1) Matrix(41,360,32,281) -> Matrix(1,0,0,1) Matrix(39,280,-28,-201) -> Matrix(1,0,-2,1) Matrix(41,280,6,41) -> Matrix(3,-2,2,-1) Matrix(159,1040,-98,-641) -> Matrix(1,-2,0,1) Matrix(119,760,-44,-281) -> Matrix(1,0,0,1) Matrix(201,1160,118,681) -> Matrix(7,-6,20,-17) Matrix(321,1840,56,321) -> Matrix(17,-16,16,-15) Matrix(239,1360,42,239) -> Matrix(11,-12,12,-13) Matrix(121,680,50,281) -> Matrix(3,-4,4,-5) Matrix(161,880,88,481) -> Matrix(1,-2,2,-3) Matrix(561,3040,74,401) -> Matrix(1,0,2,1) Matrix(961,5200,562,3041) -> Matrix(1,2,2,5) Matrix(401,2160,-282,-1519) -> Matrix(1,0,2,1) Matrix(39,200,-8,-41) -> Matrix(3,-2,2,-1) Matrix(761,3640,226,1081) -> Matrix(1,-2,2,-3) Matrix(721,3440,520,2481) -> Matrix(1,-2,4,-7) Matrix(599,2840,-228,-1081) -> Matrix(1,0,0,1) Matrix(559,2640,220,1039) -> Matrix(1,-4,2,-7) Matrix(281,1320,162,761) -> Matrix(1,2,2,5) Matrix(639,2960,-242,-1121) -> Matrix(1,0,0,1) Matrix(199,920,-130,-601) -> Matrix(1,0,0,1) Matrix(559,2560,-402,-1841) -> Matrix(3,-2,-4,3) Matrix(561,2560,158,721) -> Matrix(1,-2,2,-3) Matrix(721,3280,264,1201) -> Matrix(1,-2,2,-3) Matrix(119,520,-46,-201) -> Matrix(1,-2,2,-3) Matrix(121,520,84,361) -> Matrix(1,-2,4,-7) Matrix(519,2200,-406,-1721) -> Matrix(1,-2,0,1) Matrix(721,3040,-550,-2319) -> Matrix(1,-8,0,1) Matrix(401,1680,-248,-1039) -> Matrix(1,2,-2,-3) Matrix(281,1080,198,761) -> Matrix(1,-2,0,1) Matrix(199,760,94,359) -> Matrix(1,-6,2,-11) Matrix(881,3360,-650,-2479) -> Matrix(1,-10,0,1) Matrix(201,760,32,121) -> Matrix(1,0,2,1) Matrix(1241,4680,520,1961) -> Matrix(5,-2,8,-3) Matrix(839,3160,244,919) -> Matrix(1,0,2,1) Matrix(119,440,-76,-281) -> Matrix(1,0,-2,1) Matrix(241,880,66,241) -> Matrix(3,-2,2,-1) Matrix(639,2320,176,639) -> Matrix(11,-12,12,-13) Matrix(519,1880,-188,-681) -> Matrix(3,-4,4,-5) Matrix(3121,11280,1926,6961) -> Matrix(5,-6,16,-19) Matrix(1041,3760,554,2001) -> Matrix(1,-2,4,-7) Matrix(521,1880,-166,-599) -> Matrix(1,-2,2,-3) Matrix(279,1000,-190,-681) -> Matrix(1,-2,2,-3) Matrix(961,3440,-402,-1439) -> Matrix(1,0,0,1) Matrix(719,2560,-562,-2001) -> Matrix(1,0,0,1) Matrix(721,2560,158,561) -> Matrix(1,-2,2,-3) Matrix(1041,3680,-656,-2319) -> Matrix(1,-2,2,-3) Matrix(1039,3600,854,2959) -> Matrix(1,0,4,1) Matrix(1399,4840,520,1799) -> Matrix(1,-2,2,-3) Matrix(719,2480,394,1359) -> Matrix(1,-2,2,-3) Matrix(919,3160,244,839) -> Matrix(1,0,2,1) Matrix(4761,16360,-1804,-6199) -> Matrix(1,0,0,1) Matrix(1841,6320,1282,4401) -> Matrix(1,0,4,1) Matrix(959,3280,-702,-2401) -> Matrix(1,0,0,1) Matrix(399,1360,164,559) -> Matrix(1,0,0,1) Matrix(201,680,154,521) -> Matrix(1,0,2,1) Matrix(641,2160,-522,-1759) -> Matrix(1,0,0,1) Matrix(441,1480,-250,-839) -> Matrix(1,0,-2,1) Matrix(279,920,-158,-521) -> Matrix(1,-2,0,1) Matrix(281,920,208,681) -> Matrix(1,0,2,1) Matrix(319,1040,196,639) -> Matrix(1,-2,4,-7) Matrix(1681,5440,470,1521) -> Matrix(1,-4,2,-7) Matrix(1361,4400,322,1041) -> Matrix(1,-6,2,-11) Matrix(719,2320,322,1039) -> Matrix(1,-6,2,-11) Matrix(361,1160,-286,-919) -> Matrix(1,-2,0,1) Matrix(479,1520,-202,-641) -> Matrix(1,2,0,1) Matrix(559,1760,330,1039) -> Matrix(1,0,2,1) Matrix(681,2120,-398,-1239) -> Matrix(1,-2,0,1) Matrix(41,120,14,41) -> Matrix(1,-2,2,-3) Matrix(521,1480,-408,-1159) -> Matrix(1,0,0,1) Matrix(439,1240,382,1079) -> Matrix(1,0,2,1) Matrix(2241,6320,-1418,-3999) -> Matrix(1,-2,0,1) Matrix(1321,3720,810,2281) -> Matrix(3,-4,10,-13) Matrix(441,1240,356,1001) -> Matrix(1,-2,2,-3) Matrix(801,2240,172,481) -> Matrix(1,0,2,1) Matrix(6561,18320,1834,5121) -> Matrix(1,-2,2,-3) Matrix(5761,16080,2064,5761) -> Matrix(1,0,4,1) Matrix(4559,12720,1634,4559) -> Matrix(1,0,-2,1) Matrix(1521,4240,890,2481) -> Matrix(3,-2,8,-5) Matrix(719,2000,316,879) -> Matrix(1,-2,2,-3) Matrix(361,1000,-274,-759) -> Matrix(1,0,0,1) Matrix(2039,5640,-1432,-3961) -> Matrix(1,0,2,1) Matrix(599,1640,248,679) -> Matrix(3,-4,4,-5) Matrix(1201,3280,264,721) -> Matrix(1,-2,2,-3) Matrix(2081,5680,1290,3521) -> Matrix(1,-2,6,-11) Matrix(559,1520,-324,-881) -> Matrix(1,-4,0,1) Matrix(561,1520,148,401) -> Matrix(1,0,2,1) Matrix(519,1400,400,1079) -> Matrix(1,-2,4,-7) Matrix(239,640,-90,-241) -> Matrix(1,-2,0,1) Matrix(2041,5400,590,1561) -> Matrix(1,0,2,1) Matrix(9679,25600,-6080,-16081) -> Matrix(1,2,0,1) Matrix(8321,22000,2300,6081) -> Matrix(5,4,6,5) Matrix(2879,7600,1030,2719) -> Matrix(1,0,2,1) Matrix(1319,3480,318,839) -> Matrix(1,0,2,1) Matrix(1321,3480,-774,-2039) -> Matrix(1,-2,0,1) Matrix(441,1160,46,121) -> Matrix(1,-2,2,-3) Matrix(1719,4520,958,2519) -> Matrix(1,0,2,1) Matrix(641,1680,-488,-1279) -> Matrix(1,2,0,1) Matrix(1039,2720,458,1199) -> Matrix(3,2,4,3) Matrix(199,520,168,439) -> Matrix(1,0,2,1) Matrix(559,1440,-342,-881) -> Matrix(3,-4,-2,3) Matrix(1481,3800,-1200,-3079) -> Matrix(1,-2,0,1) Matrix(4601,11800,1794,4601) -> Matrix(1,-2,2,-3) Matrix(3121,8000,1280,3281) -> Matrix(1,-2,2,-3) Matrix(719,1840,406,1039) -> Matrix(1,-2,4,-7) Matrix(721,1840,596,1521) -> Matrix(1,-2,0,1) Matrix(2479,6320,-1538,-3921) -> Matrix(1,-2,-2,5) Matrix(1039,2640,220,559) -> Matrix(1,-4,2,-7) Matrix(1199,3040,536,1359) -> Matrix(1,-6,2,-11) Matrix(839,2120,522,1319) -> Matrix(1,-2,4,-7) Matrix(439,1080,276,679) -> Matrix(1,0,2,1) Matrix(719,1760,-556,-1361) -> Matrix(1,0,-4,1) Matrix(999,2440,278,679) -> Matrix(1,-2,2,-3) Matrix(5001,12200,2050,5001) -> Matrix(3,-2,2,-1) Matrix(3281,8000,1280,3121) -> Matrix(1,-2,2,-3) Matrix(559,1360,164,399) -> Matrix(1,0,0,1) Matrix(281,680,50,121) -> Matrix(3,-4,4,-5) Matrix(679,1640,248,599) -> Matrix(3,-4,4,-5) Matrix(2041,4920,548,1321) -> Matrix(1,-2,2,-3) Matrix(681,1640,316,761) -> Matrix(3,-4,4,-5) Matrix(3959,9480,-2456,-5881) -> Matrix(1,-2,-2,5) Matrix(1839,4400,568,1359) -> Matrix(1,-4,2,-7) Matrix(4959,11840,-2882,-6881) -> Matrix(13,-28,-6,13) Matrix(1961,4680,520,1241) -> Matrix(1,-2,0,1) Matrix(639,1520,-404,-961) -> Matrix(1,-4,0,1) Matrix(1401,3320,760,1801) -> Matrix(1,-2,2,-3) Matrix(761,1800,-490,-1159) -> Matrix(1,-4,-2,9) Matrix(881,2080,712,1681) -> Matrix(1,-6,2,-11) Matrix(3119,7360,1932,4559) -> Matrix(1,-6,4,-23) Matrix(3239,7640,2662,6279) -> Matrix(1,-8,4,-31) Matrix(1121,2640,476,1121) -> Matrix(1,-20,2,-39) Matrix(239,560,102,239) -> Matrix(1,2,2,5) Matrix(121,280,-86,-199) -> Matrix(1,0,0,1) Matrix(561,1280,316,721) -> Matrix(1,-2,4,-7) Matrix(879,2000,316,719) -> Matrix(1,-2,2,-3) Matrix(1199,2720,458,1039) -> Matrix(1,-2,4,-7) Matrix(761,1720,-442,-999) -> Matrix(1,-4,0,1) Matrix(2001,4480,1394,3121) -> Matrix(1,-4,4,-15) Matrix(1359,3040,536,1199) -> Matrix(1,-6,2,-11) Matrix(1039,2320,322,719) -> Matrix(1,-6,2,-11) Matrix(521,1160,234,521) -> Matrix(1,-12,2,-23) Matrix(199,440,90,199) -> Matrix(1,2,2,5) Matrix(201,440,-164,-359) -> Matrix(1,0,0,1) Matrix(761,1640,316,681) -> Matrix(3,-4,4,-5) Matrix(1599,3440,892,1919) -> Matrix(1,0,2,1) Matrix(1881,4040,1360,2921) -> Matrix(1,-2,6,-11) Matrix(281,600,244,521) -> Matrix(1,-2,2,-3) Matrix(359,760,94,199) -> Matrix(1,-6,2,-11) Matrix(359,680,274,519) -> Matrix(1,4,2,9) Matrix(361,680,-318,-599) -> Matrix(1,2,0,1) Matrix(921,1720,536,1001) -> Matrix(3,4,8,11) Matrix(1201,2240,-986,-1839) -> Matrix(1,2,-2,-3) Matrix(281,520,-194,-359) -> Matrix(1,0,0,1) Matrix(481,880,88,161) -> Matrix(1,-2,2,-3) Matrix(1359,2480,394,719) -> Matrix(1,-2,2,-3) Matrix(681,1240,374,681) -> Matrix(1,-6,2,-11) Matrix(199,360,110,199) -> Matrix(1,4,2,9) Matrix(2319,4160,490,879) -> Matrix(1,0,2,1) Matrix(1919,3440,892,1599) -> Matrix(1,0,2,1) Matrix(5761,10320,3216,5761) -> Matrix(3,4,8,11) Matrix(10319,18480,5762,10319) -> Matrix(1,2,2,5) Matrix(3039,5440,2234,3999) -> Matrix(1,0,2,1) Matrix(1521,2720,940,1681) -> Matrix(1,0,4,1) Matrix(919,1640,246,439) -> Matrix(1,2,0,1) Matrix(719,1280,314,559) -> Matrix(1,2,0,1) Matrix(721,1280,316,561) -> Matrix(3,2,4,3) Matrix(1039,1840,406,719) -> Matrix(3,2,4,3) Matrix(1479,2600,-1070,-1881) -> Matrix(1,0,-4,1) Matrix(321,560,184,321) -> Matrix(1,0,2,1) Matrix(1519,2640,874,1519) -> Matrix(1,10,2,21) Matrix(761,1320,162,281) -> Matrix(1,2,2,5) Matrix(439,760,346,599) -> Matrix(1,2,2,5) Matrix(441,760,-394,-679) -> Matrix(1,2,0,1) Matrix(14879,25600,6230,10719) -> Matrix(23,48,34,71) Matrix(14881,25600,6232,10721) -> Matrix(29,56,44,85) Matrix(2001,3440,-1442,-2479) -> Matrix(1,2,-4,-7) Matrix(5281,9040,3272,5601) -> Matrix(1,2,4,9) Matrix(3041,5200,562,961) -> Matrix(1,2,2,5) Matrix(2481,4240,890,1521) -> Matrix(1,2,0,1) Matrix(4521,7720,1898,3241) -> Matrix(5,8,8,13) Matrix(2041,3480,634,1081) -> Matrix(1,2,0,1) Matrix(10561,18000,6478,11041) -> Matrix(1,2,2,5) Matrix(4319,7360,1220,2079) -> Matrix(1,2,0,1) Matrix(681,1160,118,201) -> Matrix(5,6,4,5) Matrix(119,200,-72,-121) -> Matrix(1,0,0,1) Matrix(1121,1840,488,801) -> Matrix(1,0,2,1) Matrix(4879,8000,2878,4719) -> Matrix(1,0,4,1) Matrix(8761,14360,-6320,-10359) -> Matrix(1,0,-2,1) Matrix(1001,1640,318,521) -> Matrix(1,0,2,1) Matrix(1641,2680,368,601) -> Matrix(9,10,8,9) Matrix(2279,3720,514,839) -> Matrix(17,16,18,17) Matrix(2281,3720,810,1321) -> Matrix(5,4,6,5) Matrix(11041,18000,6478,10561) -> Matrix(1,2,2,5) Matrix(9399,15320,-6602,-10761) -> Matrix(3,2,10,7) Matrix(639,1040,196,319) -> Matrix(3,2,4,3) Matrix(1801,2920,272,441) -> Matrix(9,8,10,9) Matrix(6961,11280,1926,3121) -> Matrix(7,6,8,7) Matrix(8641,14000,3062,4961) -> Matrix(3,2,4,3) Matrix(17039,27600,-12002,-19441) -> Matrix(3,2,10,7) Matrix(4001,6480,2174,3521) -> Matrix(3,2,10,7) Matrix(1681,2720,940,1521) -> Matrix(1,0,4,1) Matrix(7519,12160,-5442,-8801) -> Matrix(3,2,-20,-13) Matrix(4559,7360,1932,3119) -> Matrix(11,6,20,11) Matrix(8601,13880,-6320,-10199) -> Matrix(5,2,2,1) Matrix(3521,5680,1290,2081) -> Matrix(7,2,10,3) Matrix(3919,6320,1438,2319) -> Matrix(3,2,4,3) Matrix(12679,20440,4540,7319) -> Matrix(1,0,4,1) Matrix(919,1480,670,1079) -> Matrix(1,0,2,1) Matrix(399,640,-250,-401) -> Matrix(1,0,2,1) Matrix(6079,9680,1808,2879) -> Matrix(1,0,0,1) Matrix(64319,102400,23918,38079) -> Matrix(1,0,0,1) Matrix(64321,102400,23920,38081) -> Matrix(3,-4,4,-5) Matrix(1081,1720,428,681) -> Matrix(1,-2,2,-3) Matrix(679,1080,276,439) -> Matrix(1,0,2,1) Matrix(1361,2160,1160,1841) -> Matrix(1,0,0,1) Matrix(6959,11040,4084,6479) -> Matrix(5,-4,14,-11) Matrix(959,1520,706,1119) -> Matrix(1,-2,2,-3) Matrix(12961,20480,8000,12641) -> Matrix(1,0,4,1) Matrix(4001,6320,1520,2401) -> Matrix(1,2,0,1) Matrix(3599,5680,1368,2159) -> Matrix(3,2,4,3) Matrix(559,880,-458,-721) -> Matrix(1,0,0,1) Matrix(1281,2000,718,1121) -> Matrix(1,2,2,5) Matrix(2719,4240,1128,1759) -> Matrix(3,2,4,3) Matrix(1721,2680,-1258,-1959) -> Matrix(3,2,4,3) Matrix(4359,6760,-3070,-4761) -> Matrix(1,0,6,1) Matrix(439,680,-388,-601) -> Matrix(1,0,2,1) Matrix(441,680,286,441) -> Matrix(1,0,8,1) Matrix(1199,1840,260,399) -> Matrix(1,0,-2,1) Matrix(1201,1760,492,721) -> Matrix(1,0,0,1) Matrix(521,760,412,601) -> Matrix(1,0,2,1) Matrix(881,1280,276,401) -> Matrix(1,0,2,1) Matrix(1599,2320,-1324,-1921) -> Matrix(1,0,2,1) Matrix(361,520,84,121) -> Matrix(3,2,4,3) Matrix(4399,6320,3396,4879) -> Matrix(1,0,6,1) Matrix(4401,6320,1282,1841) -> Matrix(1,0,4,1) Matrix(4959,7120,1448,2079) -> Matrix(1,0,2,1) Matrix(3121,4480,1394,2001) -> Matrix(7,4,12,7) Matrix(559,800,-392,-561) -> Matrix(1,0,6,1) Matrix(6801,9680,2530,3601) -> Matrix(5,-2,8,-3) Matrix(2081,2960,1688,2401) -> Matrix(1,0,0,1) Matrix(2281,3240,930,1321) -> Matrix(1,0,0,1) Matrix(13159,18680,3916,5559) -> Matrix(1,0,-2,1) Matrix(761,1080,198,281) -> Matrix(5,-2,8,-3) Matrix(961,1360,566,801) -> Matrix(1,0,2,1) Matrix(1161,1640,652,921) -> Matrix(3,-2,8,-5) Matrix(3079,4280,-2274,-3161) -> Matrix(7,4,-2,-1) Matrix(1239,1720,662,919) -> Matrix(5,2,12,5) Matrix(2279,3160,432,599) -> Matrix(1,0,2,1) Matrix(21961,30440,12958,17961) -> Matrix(1,0,4,1) Matrix(2281,3160,1762,2441) -> Matrix(1,0,6,1) Matrix(839,1160,-724,-1001) -> Matrix(1,0,4,1) Matrix(15919,22000,9898,13679) -> Matrix(1,0,8,1) Matrix(25559,35320,10796,14919) -> Matrix(23,4,40,7) Matrix(5241,7240,1130,1561) -> Matrix(1,0,8,1) Matrix(1681,2320,1218,1681) -> Matrix(1,0,18,1) Matrix(639,880,464,639) -> Matrix(1,0,-4,1) Matrix(1079,1480,670,919) -> Matrix(1,0,2,1) Matrix(1081,1480,848,1161) -> Matrix(1,0,0,1) Matrix(18719,25600,5030,6879) -> Matrix(7,-6,6,-5) Matrix(18721,25600,5032,6881) -> Matrix(5,-6,6,-7) Matrix(3921,5360,-3218,-4399) -> Matrix(1,0,-2,1) Matrix(1319,1800,-968,-1321) -> Matrix(3,-2,2,-1) Matrix(6199,8440,4318,5879) -> Matrix(1,-2,4,-7) Matrix(17079,23240,4732,6439) -> Matrix(3,-4,4,-5) Matrix(3999,5440,2234,3039) -> Matrix(1,0,2,1) Matrix(1119,1520,706,959) -> Matrix(1,-2,2,-3) Matrix(4719,6400,1238,1679) -> Matrix(1,-18,2,-35) Matrix(4721,6400,1240,1681) -> Matrix(1,16,2,33) Matrix(3839,5200,708,959) -> Matrix(1,4,2,9) Matrix(681,920,208,281) -> Matrix(1,0,2,1) Matrix(4879,6400,1158,1519) -> Matrix(1,-16,2,-31) Matrix(4881,6400,1160,1521) -> Matrix(1,14,2,29) Matrix(519,680,274,359) -> Matrix(1,4,2,9) Matrix(521,680,154,201) -> Matrix(1,0,2,1) Matrix(1079,1400,400,519) -> Matrix(3,2,4,3) Matrix(2439,3160,2006,2599) -> Matrix(1,0,6,1) Matrix(4879,6320,3396,4399) -> Matrix(1,0,6,1) Matrix(2441,3160,1762,2281) -> Matrix(1,0,6,1) Matrix(3559,4600,2506,3239) -> Matrix(1,0,4,1) Matrix(1921,2480,1488,1921) -> Matrix(1,0,16,1) Matrix(559,720,434,559) -> Matrix(1,0,-2,1) Matrix(281,360,32,41) -> Matrix(1,0,0,1) Matrix(5161,6600,1596,2041) -> Matrix(1,-4,2,-7) Matrix(2319,2960,814,1039) -> Matrix(1,0,2,1) Matrix(1161,1480,848,1081) -> Matrix(1,0,0,1) Matrix(599,760,346,439) -> Matrix(1,2,2,5) Matrix(601,760,412,521) -> Matrix(1,0,2,1) Matrix(1841,2320,1080,1361) -> Matrix(3,4,8,11) Matrix(1001,1240,356,441) -> Matrix(1,-2,2,-3) Matrix(1681,2080,712,881) -> Matrix(1,-6,2,-11) Matrix(4441,5480,3210,3961) -> Matrix(1,0,6,1) Matrix(1039,1280,194,239) -> Matrix(1,0,2,1) Matrix(1041,1280,196,241) -> Matrix(1,0,0,1) Matrix(6279,7640,2662,3239) -> Matrix(15,8,28,15) Matrix(2959,3600,854,1039) -> Matrix(1,0,4,1) Matrix(2599,3160,2006,2439) -> Matrix(1,0,6,1) Matrix(1121,1360,924,1121) -> Matrix(1,0,8,1) Matrix(1519,1840,1254,1519) -> Matrix(1,0,-6,1) Matrix(1521,1840,596,721) -> Matrix(5,-2,8,-3) Matrix(1561,1880,964,1161) -> Matrix(1,-2,4,-7) Matrix(439,520,168,199) -> Matrix(1,0,2,1) Matrix(441,520,374,441) -> Matrix(1,0,4,1) Matrix(919,1080,782,919) -> Matrix(1,0,-2,1) Matrix(1841,2160,1160,1361) -> Matrix(1,0,0,1) Matrix(2039,2360,794,919) -> Matrix(1,-2,2,-3) Matrix(1039,1200,484,559) -> Matrix(1,-2,2,-3) Matrix(521,600,244,281) -> Matrix(1,-2,2,-3) Matrix(1079,1240,382,439) -> Matrix(1,0,2,1) Matrix(2919,3320,808,919) -> Matrix(3,-4,4,-5) Matrix(761,840,472,521) -> Matrix(1,0,4,1) Matrix(1,0,2,1) -> Matrix(1,0,2,1) Matrix(681,-760,250,-279) -> Matrix(5,-2,8,-3) Matrix(601,-680,388,-439) -> Matrix(1,0,2,1) Matrix(1001,-1160,724,-839) -> Matrix(1,0,4,1) Matrix(1159,-1400,630,-761) -> Matrix(1,0,2,1) Matrix(721,-880,458,-559) -> Matrix(1,0,0,1) Matrix(359,-440,164,-201) -> Matrix(1,0,0,1) Matrix(3079,-3800,1200,-1481) -> Matrix(5,-2,8,-3) Matrix(919,-1160,286,-361) -> Matrix(5,-2,8,-3) Matrix(1159,-1480,408,-521) -> Matrix(1,0,0,1) Matrix(2001,-2560,562,-719) -> Matrix(1,0,0,1) Matrix(1361,-1760,556,-719) -> Matrix(1,0,-4,1) Matrix(2319,-3040,550,-721) -> Matrix(17,-8,32,-15) Matrix(759,-1000,274,-361) -> Matrix(1,0,0,1) Matrix(1359,-1840,178,-241) -> Matrix(9,-4,16,-7) Matrix(2479,-3360,650,-881) -> Matrix(21,-10,40,-19) Matrix(10199,-13880,6320,-8601) -> Matrix(3,-2,14,-9) Matrix(3319,-4520,970,-1321) -> Matrix(3,-2,2,-1) Matrix(2401,-3280,702,-959) -> Matrix(1,0,0,1) Matrix(2399,-3280,1288,-1761) -> Matrix(3,-2,8,-5) Matrix(3041,-4160,818,-1119) -> Matrix(1,-2,2,-3) Matrix(1679,-2320,406,-561) -> Matrix(1,0,-6,1) Matrix(5441,-7520,1620,-2239) -> Matrix(1,0,-6,1) Matrix(10561,-14640,6232,-8639) -> Matrix(1,0,-2,1) Matrix(2479,-3440,1442,-2001) -> Matrix(11,-2,28,-5) Matrix(201,-280,28,-39) -> Matrix(1,0,-2,1) Matrix(199,-280,86,-121) -> Matrix(1,0,0,1) Matrix(8001,-11360,3380,-4799) -> Matrix(7,4,12,7) Matrix(1519,-2160,282,-401) -> Matrix(1,0,2,1) Matrix(561,-800,392,-559) -> Matrix(1,0,6,1) Matrix(4239,-6080,1172,-1681) -> Matrix(19,-4,24,-5) Matrix(359,-520,194,-281) -> Matrix(1,0,0,1) Matrix(681,-1000,190,-279) -> Matrix(1,-2,2,-3) Matrix(601,-920,130,-199) -> Matrix(1,0,0,1) Matrix(879,-1360,466,-721) -> Matrix(7,-2,18,-5) Matrix(1159,-1800,490,-761) -> Matrix(17,-4,30,-7) Matrix(281,-440,76,-119) -> Matrix(1,0,-2,1) Matrix(2081,-3280,1116,-1759) -> Matrix(7,-2,18,-5) Matrix(279,-440,26,-41) -> Matrix(1,0,-2,1) Matrix(961,-1520,404,-639) -> Matrix(9,-4,16,-7) Matrix(2319,-3680,656,-1041) -> Matrix(1,-2,2,-3) Matrix(401,-640,250,-399) -> Matrix(1,0,2,1) Matrix(15921,-25600,5920,-9519) -> Matrix(1,0,-2,1) Matrix(3921,-6320,1538,-2479) -> Matrix(9,-2,14,-3) Matrix(1039,-1680,248,-401) -> Matrix(7,-2,18,-5) Matrix(13681,-22160,5778,-9359) -> Matrix(9,-2,14,-3) Matrix(641,-1040,98,-159) -> Matrix(5,-2,8,-3) Matrix(10921,-17800,3018,-4919) -> Matrix(5,-2,8,-3) Matrix(759,-1240,172,-281) -> Matrix(17,-6,20,-7) Matrix(121,-200,72,-119) -> Matrix(1,0,0,1) Matrix(2039,-3480,774,-1321) -> Matrix(5,-2,8,-3) Matrix(6079,-10400,1684,-2881) -> Matrix(11,-4,14,-5) Matrix(999,-1720,442,-761) -> Matrix(9,-4,16,-7) Matrix(881,-1520,324,-559) -> Matrix(9,-4,16,-7) Matrix(521,-920,158,-279) -> Matrix(5,-2,8,-3) Matrix(681,-1480,202,-439) -> Matrix(1,0,0,1) Matrix(3161,-7160,1324,-2999) -> Matrix(35,-24,54,-37) Matrix(641,-1520,202,-479) -> Matrix(3,-2,8,-5) Matrix(2081,-4960,738,-1759) -> Matrix(3,-2,8,-5) Matrix(1439,-3440,402,-961) -> Matrix(1,0,0,1) Matrix(3879,-9880,1084,-2761) -> Matrix(1,0,0,1) Matrix(201,-520,46,-119) -> Matrix(1,-2,2,-3) Matrix(1481,-3880,534,-1399) -> Matrix(5,-2,8,-3) Matrix(1081,-2840,228,-599) -> Matrix(1,0,0,1) Matrix(1121,-2960,242,-639) -> Matrix(1,0,0,1) Matrix(241,-640,90,-239) -> Matrix(5,-2,8,-3) Matrix(281,-760,44,-119) -> Matrix(1,0,0,1) Matrix(681,-1880,188,-519) -> Matrix(3,-4,4,-5) Matrix(599,-1880,166,-521) -> Matrix(1,-2,2,-3) Matrix(241,-800,72,-239) -> Matrix(3,-2,2,-1) Matrix(2759,-9480,594,-2041) -> Matrix(1,0,0,1) Matrix(999,-3560,236,-841) -> Matrix(5,-2,8,-3) Matrix(201,-920,26,-119) -> Matrix(1,-2,2,-3) Matrix(41,-200,8,-39) -> Matrix(3,-2,2,-1) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 77 Degree of the the map X: 77 Degree of the the map Y: 384 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow caused the modular group computation to abort.