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 -15/2 -6/1 -16/3 -5/1 -14/3 -35/8 -4/1 -15/4 -18/5 -10/3 -16/5 -8/3 -5/2 -12/5 -16/7 -35/16 -15/7 -2/1 -12/7 -5/3 -8/5 -30/19 -10/7 -24/17 -25/18 -15/11 -4/3 -40/31 -5/4 -8/7 -10/9 0/1 1/1 8/7 20/17 40/33 5/4 4/3 40/29 10/7 3/2 20/13 120/77 8/5 5/3 100/59 12/7 40/23 25/14 20/11 2/1 20/9 120/53 16/7 40/17 160/67 12/5 5/2 100/39 31/12 8/3 320/119 30/11 25/9 20/7 3/1 16/5 33/10 10/3 41/12 7/2 40/11 11/3 160/43 56/15 15/4 19/5 80/21 4/1 25/6 80/19 13/3 35/8 40/9 9/2 55/12 37/8 14/3 19/4 29/6 5/1 21/4 16/3 11/2 17/3 40/7 23/4 35/6 6/1 13/2 20/3 27/4 7/1 22/3 15/2 8/1 25/3 17/2 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 1/1 -8/1 0/1 -23/3 0/1 1/3 -15/2 1/3 1/1 -7/1 0/1 1/2 -27/4 0/1 1/0 -20/3 0/1 -13/2 0/1 1/3 -6/1 1/2 -29/5 -1/1 0/1 -23/4 -1/2 0/1 -40/7 0/1 -17/3 0/1 1/5 -45/8 1/5 1/3 -73/13 2/9 1/4 -28/5 1/3 -11/2 1/3 1/2 -16/3 0/1 -37/7 0/1 1/3 -21/4 1/3 1/2 -26/5 1/2 -5/1 0/1 -24/5 1/2 -19/4 1/3 1/2 -14/3 1/2 -37/8 0/1 1/2 -23/5 0/1 1/1 -32/7 1/1 -9/2 0/1 1/0 -40/9 0/1 -31/7 0/1 1/9 -22/5 1/4 -79/18 0/1 1/4 -57/13 0/1 1/3 -35/8 1/5 1/3 -13/3 0/1 1/3 -17/4 1/3 2/5 -38/9 1/2 -21/5 1/2 4/7 -4/1 0/1 -23/6 2/5 1/2 -42/11 1/2 -19/5 1/2 4/7 -34/9 1/2 -83/22 1/2 1/1 -49/13 0/1 1/1 -15/4 1/1 -41/11 0/1 1/1 -67/18 2/3 1/1 -26/7 1/0 -37/10 0/1 1/0 -11/3 -1/1 0/1 -40/11 0/1 -29/8 0/1 1/10 -76/21 1/7 -47/13 0/1 1/6 -65/18 1/7 1/5 -83/23 0/1 1/5 -18/5 1/4 -79/22 0/1 1/4 -61/17 0/1 1/4 -43/12 0/1 1/2 -25/7 1/4 -7/2 1/3 1/2 -17/5 1/1 2/1 -44/13 -1/1 -71/21 -1/3 0/1 -27/8 0/1 1/0 -37/11 -1/1 0/1 -10/3 0/1 -43/13 0/1 1/5 -33/10 1/5 1/4 -89/27 2/7 1/3 -56/17 0/1 -79/24 0/1 1/4 -23/7 0/1 1/5 -13/4 0/1 1/3 -16/5 1/2 -19/6 1/2 1/1 -3/1 0/1 1/3 -20/7 0/1 -17/6 0/1 1/5 -48/17 0/1 -31/11 0/1 1/3 -14/5 1/4 -11/4 1/3 1/2 -52/19 1/3 -41/15 0/1 1/3 -30/11 1/3 -19/7 2/5 1/2 -46/17 1/2 -73/27 0/1 1/0 -27/10 0/1 1/2 -35/13 1/2 -8/3 0/1 -45/17 1/4 -82/31 1/4 -119/45 0/1 1/3 -37/14 0/1 1/4 -29/11 0/1 1/5 -79/30 0/1 1/4 -50/19 0/1 -71/27 1/5 2/9 -163/62 1/5 1/4 -92/35 1/5 -21/8 1/5 1/4 -55/21 2/7 -34/13 1/4 -115/44 1/3 -81/31 2/7 1/3 -128/49 2/7 -47/18 3/10 1/3 -13/5 0/1 1/3 -44/17 2/7 -119/46 2/7 1/3 -75/29 2/7 -31/12 5/16 1/3 -18/7 1/2 -5/2 1/3 1/1 -22/9 1/2 -61/25 0/1 1/2 -161/66 0/1 1/2 -100/41 0/1 -39/16 0/1 1/3 -17/7 2/7 1/3 -46/19 5/14 -121/50 1/3 4/11 -75/31 4/11 -29/12 3/8 2/5 -41/17 1/3 2/5 -53/22 2/5 1/2 -65/27 1/2 -12/5 1/3 -55/23 3/8 -43/18 7/18 2/5 -31/13 1/3 2/5 -19/8 1/3 1/2 -26/11 1/2 -33/14 5/11 1/2 -40/17 1/2 -7/3 0/1 1/2 -23/10 0/1 1/2 -39/17 0/1 1/3 -16/7 1/3 -41/18 1/3 2/5 -25/11 2/5 -34/15 1/2 -77/34 1/3 1/2 -120/53 1/3 -43/19 1/3 2/5 -52/23 2/5 -9/4 2/5 1/2 -20/9 1/2 -31/14 1/2 3/5 -42/19 1/2 -11/5 0/1 1/1 -46/21 1/4 -35/16 1/3 -24/11 1/2 -13/6 0/1 1/3 -41/19 1/3 2/5 -28/13 1/3 -15/7 1/2 -32/15 2/5 -17/8 2/5 3/7 -2/1 1/2 -17/9 3/5 2/3 -15/8 3/5 1/1 -43/23 2/3 1/1 -28/15 2/3 -13/7 0/1 1/1 -24/13 0/1 -11/6 1/3 1/2 -20/11 1/2 -29/16 1/2 6/11 -38/21 1/2 -47/26 1/2 5/9 -9/5 3/5 2/3 -43/24 9/14 2/3 -34/19 3/4 -25/14 1/1 -41/23 2/3 1/1 -16/9 1/1 -39/22 0/1 1/1 -23/13 1/1 2/1 -7/4 1/3 1/2 -40/23 1/2 -33/19 1/2 10/19 -92/53 7/13 -59/34 1/2 7/13 -26/15 1/2 -71/41 5/9 4/7 -116/67 3/5 -161/93 4/7 3/5 -45/26 3/5 -19/11 1/2 2/3 -50/29 3/5 -81/47 3/5 2/3 -31/18 3/5 5/8 -74/43 9/14 -117/68 21/32 2/3 -160/93 2/3 -43/25 2/3 5/7 -12/7 2/3 -53/31 4/5 1/1 -41/24 2/3 1/1 -29/17 2/3 1/1 -17/10 1/1 2/1 -39/23 0/1 1/1 -100/59 1/1 -61/36 1/1 1/0 -22/13 1/0 -49/29 0/1 1/5 -27/16 0/1 1/2 -5/3 1/2 -38/23 1/2 -33/20 1/2 1/1 -28/17 2/3 -79/48 1/2 2/3 -51/31 2/3 1/1 -23/14 2/3 3/4 -41/25 2/3 1/1 -100/61 1/1 -59/36 1/2 1/1 -77/47 2/3 1/1 -18/11 3/4 -13/8 0/1 1/1 -34/21 1/2 -55/34 1/3 -21/13 1/2 2/3 -71/44 1/2 2/3 -50/31 1/1 -79/49 0/1 1/1 -29/18 0/1 1/0 -37/23 0/1 1/3 -8/5 1/2 -43/27 2/3 1/1 -121/76 2/3 1/1 -320/201 1/1 -199/125 0/1 1/1 -78/49 1/2 -35/22 3/5 1/1 -27/17 2/3 1/1 -19/12 1/2 3/5 -49/31 3/5 2/3 -79/50 1/2 2/3 -30/19 2/3 -71/45 4/5 1/1 -41/26 2/3 1/1 -11/7 2/3 1/1 -36/23 0/1 -61/39 1/2 4/7 -25/16 1/1 -39/25 0/1 1/1 -53/34 0/1 1/0 -120/77 0/1 -67/43 0/1 1/3 -81/52 0/1 1/2 -14/9 1/2 -45/29 2/3 -31/20 1/1 1/0 -79/51 0/1 1/1 -48/31 0/1 -17/11 0/1 1/1 -37/24 0/1 1/2 -20/13 1/2 -3/2 1/2 1/1 -22/15 1/2 -19/13 0/1 1/2 -35/24 1/1 -16/11 1/2 -45/31 2/3 -29/20 0/1 1/2 -42/29 1/2 -55/38 3/5 1/1 -13/9 2/3 1/1 -36/25 0/1 -23/16 1/2 2/3 -33/23 1/2 2/3 -10/7 1/1 -47/33 0/1 1/0 -84/59 1/1 -121/85 0/1 1/1 -37/26 0/1 1/0 -64/45 0/1 -27/19 0/1 1/1 -17/12 2/3 1/1 -41/29 0/1 1/1 -65/46 1/1 -89/63 1/1 2/1 -24/17 0/1 -79/56 0/1 1/2 -55/39 0/1 -31/22 1/3 1/2 -38/27 1/2 -45/32 1/3 1/1 -7/5 1/2 2/3 -46/33 3/4 -39/28 2/3 1/1 -32/23 1/1 -57/41 0/1 1/1 -25/18 3/5 1/1 -93/67 3/5 2/3 -161/116 1/2 2/3 -68/49 2/3 -43/31 2/3 5/7 -61/44 3/4 1/1 -18/13 3/4 -83/60 3/4 1/1 -148/107 1/1 -65/47 3/4 -112/81 4/5 -47/34 3/4 1/1 -123/89 4/5 1/1 -199/144 4/5 1/1 -76/55 4/5 -29/21 6/7 1/1 -40/29 1/1 -11/8 1/1 1/0 -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 -15/11 0/1 -49/36 1/2 1/1 -34/25 1/4 -19/14 3/7 1/2 -80/59 1/2 -61/45 1/2 14/27 -42/31 1/2 -23/17 4/7 3/5 -4/3 1/1 -29/22 0/1 1/4 -25/19 0/1 -21/16 3/7 1/2 -80/61 1/2 -59/45 1/2 12/23 -38/29 1/2 -55/42 5/9 3/5 -17/13 3/5 2/3 -13/10 2/3 1/1 -22/17 5/6 -31/24 11/12 1/1 -40/31 1/1 -9/7 1/1 2/1 -41/32 0/1 1/1 -32/25 1/1 -23/18 0/1 1/0 -60/47 0/1 -37/29 0/1 1/3 -51/40 0/1 1/0 -65/51 0/1 -79/62 0/1 1/2 -14/11 1/2 -33/26 1/2 3/5 -52/41 2/3 -71/56 1/2 2/3 -19/15 1/2 2/3 -5/4 1/1 -21/17 0/1 1/0 -37/30 0/1 1/2 -16/13 0/1 -43/35 0/1 1/1 -27/22 0/1 1/2 -65/53 1/2 -38/31 1/2 -11/9 2/3 1/1 -17/14 6/7 1/1 -40/33 1/1 -23/19 1/1 8/7 -6/5 1/0 -19/16 1/2 3/5 -13/11 2/3 1/1 -33/28 5/6 1/1 -20/17 1/1 -7/6 1/1 1/0 -15/13 1/2 -38/33 1/2 -23/20 1/2 2/3 -8/7 1/1 -9/8 0/1 1/2 -10/9 1/1 -1/1 0/1 1/1 0/1 0/1 1/1 0/1 1/3 9/8 0/1 1/2 8/7 1/3 7/6 1/4 1/3 20/17 1/3 13/11 1/3 2/5 6/5 1/4 23/19 8/25 1/3 40/33 1/3 17/14 1/3 6/17 11/9 1/3 2/5 38/31 1/2 65/53 1/2 27/22 0/1 1/2 16/13 0/1 5/4 1/3 24/19 2/5 43/34 3/8 2/5 19/15 2/5 1/2 52/41 2/5 33/26 3/7 1/2 14/11 1/2 37/29 0/1 1/1 23/18 0/1 1/4 32/25 1/3 41/32 0/1 1/3 9/7 2/7 1/3 13/10 1/3 2/5 17/13 2/5 3/7 38/29 1/2 21/16 1/2 3/5 4/3 1/3 23/17 3/7 4/9 42/31 1/2 19/14 1/2 3/5 34/25 1/0 49/36 1/3 1/2 15/11 0/1 11/8 1/4 1/3 40/29 1/3 29/21 1/3 6/17 47/34 1/3 3/8 112/81 4/11 65/47 3/8 18/13 3/8 43/31 5/13 2/5 25/18 1/3 3/7 32/23 1/3 39/28 1/3 2/5 7/5 2/5 1/2 45/32 1/3 1/1 38/27 1/2 31/22 1/2 1/1 55/39 0/1 79/56 0/1 1/2 24/17 0/1 41/29 0/1 1/3 17/12 1/3 2/5 27/19 0/1 1/3 37/26 0/1 1/4 10/7 1/3 23/16 2/5 1/2 36/25 0/1 13/9 1/3 2/5 55/38 1/3 3/7 42/29 1/2 29/20 0/1 1/2 16/11 1/2 19/13 0/1 1/2 22/15 1/2 25/17 1/2 3/2 1/3 1/2 20/13 1/2 17/11 0/1 1/3 48/31 0/1 31/20 1/4 1/3 45/29 2/5 14/9 1/2 81/52 0/1 1/2 67/43 0/1 1/1 120/77 0/1 53/34 0/1 1/4 39/25 0/1 1/3 25/16 1/3 36/23 0/1 47/30 1/4 1/3 11/7 1/3 2/5 41/26 1/3 2/5 71/45 1/3 4/11 30/19 2/5 19/12 3/7 1/2 46/29 1/4 27/17 1/3 2/5 35/22 1/3 3/7 8/5 1/2 45/28 1/3 1/1 82/51 1/2 119/74 0/1 1/1 37/23 0/1 1/1 66/41 1/2 161/100 0/1 1/2 95/59 0/1 29/18 0/1 1/4 50/31 1/3 71/44 2/5 1/2 92/57 2/5 21/13 2/5 1/2 55/34 1/1 34/21 1/2 13/8 0/1 1/3 31/19 4/13 1/3 18/11 3/8 59/36 1/3 1/2 100/61 1/3 41/25 1/3 2/5 23/14 3/8 2/5 51/31 1/3 2/5 28/17 2/5 33/20 1/3 1/2 38/23 1/2 5/3 1/2 27/16 0/1 1/2 22/13 1/4 61/36 1/4 1/3 100/59 1/3 39/23 0/1 1/3 17/10 2/7 1/3 29/17 1/3 2/5 41/24 1/3 2/5 53/31 1/3 4/11 12/7 2/5 67/39 2/5 3/7 55/32 1/3 3/7 43/25 5/13 2/5 74/43 9/22 31/18 5/12 3/7 19/11 2/5 1/2 64/37 1/2 45/26 3/7 26/15 1/2 59/34 7/15 1/2 92/53 7/15 33/19 10/21 1/2 40/23 1/2 7/4 1/2 1/1 16/9 1/3 41/23 1/3 2/5 25/14 1/3 34/19 3/8 9/5 2/5 3/7 47/26 5/11 1/2 38/21 1/2 29/16 6/13 1/2 20/11 1/2 11/6 1/2 1/1 13/7 0/1 1/3 28/15 2/5 43/23 1/3 2/5 15/8 1/3 3/7 17/9 2/5 3/7 2/1 1/2 17/8 3/5 2/3 15/7 1/2 28/13 1/1 13/6 0/1 1/1 11/5 0/1 1/3 42/19 1/2 31/14 3/7 1/2 20/9 1/2 9/4 1/2 2/3 52/23 2/3 43/19 2/3 1/1 120/53 1/1 77/34 1/2 1/1 34/15 1/2 25/11 2/3 41/18 2/3 1/1 16/7 1/1 39/17 0/1 1/1 23/10 0/1 1/2 30/13 1/1 37/16 0/1 1/2 7/3 0/1 1/2 40/17 1/2 33/14 1/2 5/9 26/11 1/2 19/8 1/2 1/1 50/21 2/3 31/13 2/3 1/1 74/31 5/8 117/49 19/29 2/3 160/67 2/3 43/18 2/3 7/10 12/5 1/1 77/32 1/2 1/1 65/27 1/2 53/22 1/2 2/3 41/17 2/3 1/1 70/29 1/1 29/12 2/3 3/4 75/31 4/5 121/50 4/5 1/1 46/19 5/6 17/7 1/1 2/1 5/2 1/3 1/1 23/9 1/1 2/1 41/16 0/1 1/1 100/39 0/1 59/23 0/1 1/2 18/7 1/2 49/19 8/9 1/1 80/31 1/1 31/12 1/1 5/4 75/29 2/1 119/46 1/1 2/1 44/17 2/1 13/5 0/1 1/1 60/23 1/1 47/18 1/1 3/2 128/49 2/1 81/31 1/1 2/1 115/44 1/1 34/13 1/0 55/21 2/1 76/29 3/1 21/8 -1/1 1/0 92/35 -1/1 71/27 -2/1 -1/1 50/19 0/1 79/30 0/1 1/0 187/71 0/1 1/1 108/41 0/1 29/11 -1/1 0/1 37/14 0/1 1/0 8/3 0/1 43/16 0/1 1/2 121/45 0/1 1/3 320/119 1/3 199/74 1/3 2/5 78/29 1/2 35/13 1/2 27/10 0/1 1/2 73/27 0/1 1/4 119/44 0/1 1/3 46/17 1/2 19/7 1/2 2/3 49/18 3/4 1/1 128/47 2/3 79/29 2/3 1/1 30/11 1/1 71/26 0/1 1/0 41/15 0/1 1/1 11/4 1/2 1/1 25/9 0/1 39/14 0/1 1/1 53/19 2/3 1/1 14/5 1/0 45/16 -1/1 31/11 0/1 1/1 17/6 -1/1 0/1 20/7 0/1 23/8 0/1 1/4 3/1 0/1 1/1 22/7 1/2 19/6 1/3 1/2 16/5 1/2 45/14 1/1 29/9 0/1 1/3 13/4 0/1 1/1 23/7 -1/1 0/1 79/24 0/1 1/0 56/17 0/1 89/27 1/1 2/1 33/10 -1/1 1/0 10/3 0/1 47/14 1/6 1/5 84/25 0/1 121/36 0/1 1/5 37/11 0/1 1/5 64/19 0/1 27/8 0/1 1/4 71/21 0/1 1/7 115/34 1/5 159/47 0/1 1/5 44/13 1/5 17/5 2/7 1/3 41/12 0/1 1/3 24/7 1/3 7/2 1/2 1/1 32/9 1/1 57/16 2/1 1/0 25/7 1/0 68/19 -1/1 43/12 0/1 1/2 61/17 0/1 1/0 140/39 0/1 79/22 0/1 1/0 18/5 1/0 47/13 -1/2 0/1 123/34 -1/2 0/1 199/55 -1/3 0/1 76/21 -1/3 105/29 0/1 29/8 -1/6 0/1 40/11 0/1 11/3 0/1 1/5 37/10 0/1 1/4 26/7 1/4 93/25 4/13 1/3 160/43 1/3 67/18 1/3 2/5 41/11 0/1 1/3 56/15 0/1 15/4 1/3 64/17 2/5 49/13 0/1 1/3 132/35 1/3 83/22 1/3 1/2 34/9 1/2 19/5 4/9 1/2 80/21 1/2 61/16 1/2 13/25 42/11 1/2 65/17 1/2 23/6 1/2 2/3 4/1 0/1 25/6 1/3 21/5 4/9 1/2 80/19 1/2 59/14 1/2 11/21 38/9 1/2 17/4 2/3 1/1 13/3 0/1 1/1 35/8 -1/1 1/1 57/13 0/1 1/1 79/18 0/1 1/0 22/5 1/0 53/12 -1/2 0/1 31/7 -1/5 0/1 40/9 0/1 9/2 0/1 1/4 32/7 1/3 55/12 1/3 3/7 78/17 1/2 23/5 0/1 1/3 60/13 1/2 37/8 0/1 1/2 14/3 1/2 19/4 1/2 1/1 24/5 1/2 29/6 1/2 2/3 5/1 0/1 26/5 1/2 21/4 1/2 1/1 58/11 1/0 37/7 0/1 1/1 16/3 0/1 43/8 0/1 1/4 27/5 0/1 1/3 11/2 1/2 1/1 39/7 0/1 1/1 67/12 1/1 2/1 28/5 1/1 73/13 -2/1 1/0 45/8 -1/1 1/1 17/3 -1/1 0/1 40/7 0/1 23/4 0/1 1/6 29/5 0/1 1/5 35/6 1/3 6/1 1/2 13/2 0/1 1/1 20/3 0/1 27/4 0/1 1/4 7/1 0/1 1/2 22/3 1/4 37/5 0/1 1/3 15/2 1/3 1/1 23/3 0/1 1/1 8/1 0/1 25/3 1/2 17/2 0/1 1/1 9/1 0/1 1/3 10/1 0/1 1/0 0/1 1/2 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(79,760,-50,-481) (-9/1,1/0) -> (-49/31,-79/50) Hyperbolic Matrix(79,680,-28,-241) (-9/1,-8/1) -> (-48/17,-31/11) Hyperbolic Matrix(161,1240,104,801) (-8/1,-23/3) -> (17/11,48/31) Hyperbolic Matrix(79,600,42,319) (-23/3,-15/2) -> (15/8,17/9) Hyperbolic Matrix(159,1160,-44,-321) (-15/2,-7/1) -> (-47/13,-65/18) Hyperbolic Matrix(319,2160,118,799) (-7/1,-27/4) -> (27/10,73/27) Hyperbolic Matrix(161,1080,24,161) (-27/4,-20/3) -> (20/3,27/4) Hyperbolic Matrix(79,520,12,79) (-20/3,-13/2) -> (13/2,20/3) Hyperbolic Matrix(81,520,50,321) (-13/2,-6/1) -> (34/21,13/8) Hyperbolic Matrix(241,1400,-110,-639) (-6/1,-29/5) -> (-11/5,-46/21) Hyperbolic Matrix(319,1840,194,1119) (-29/5,-23/4) -> (23/14,51/31) 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(561,3160,128,721) (-17/3,-45/8) -> (35/8,57/13) Hyperbolic Matrix(641,3600,456,2561) (-45/8,-73/13) -> (7/5,45/32) Hyperbolic Matrix(1361,7640,784,4401) (-73/13,-28/5) -> (92/53,33/19) Hyperbolic Matrix(159,880,-58,-321) (-28/5,-11/2) -> (-11/4,-52/19) Hyperbolic Matrix(81,440,-44,-239) (-11/2,-16/3) -> (-24/13,-11/6) Hyperbolic Matrix(559,2960,166,879) (-16/3,-37/7) -> (37/11,64/19) Hyperbolic Matrix(721,3800,-440,-2319) (-37/7,-21/4) -> (-59/36,-77/47) Hyperbolic Matrix(399,2080,230,1199) (-21/4,-26/5) -> (26/15,59/34) Hyperbolic Matrix(239,1240,154,799) (-26/5,-5/1) -> (45/29,14/9) Hyperbolic Matrix(241,1160,-166,-799) (-5/1,-24/5) -> (-16/11,-45/31) Hyperbolic Matrix(159,760,50,239) (-24/5,-19/4) -> (19/6,16/5) Hyperbolic Matrix(161,760,68,321) (-19/4,-14/3) -> (26/11,19/8) Hyperbolic Matrix(319,1480,86,399) (-14/3,-37/8) -> (37/10,26/7) Hyperbolic Matrix(321,1480,-208,-959) (-37/8,-23/5) -> (-17/11,-37/24) Hyperbolic Matrix(559,2560,-402,-1841) (-23/5,-32/7) -> (-32/23,-57/41) Hyperbolic Matrix(79,360,70,319) (-32/7,-9/2) -> (9/8,8/7) Hyperbolic Matrix(161,720,36,161) (-9/2,-40/9) -> (40/9,9/2) Hyperbolic Matrix(559,2480,126,559) (-40/9,-31/7) -> (31/7,40/9) Hyperbolic Matrix(399,1760,-236,-1041) (-31/7,-22/5) -> (-22/13,-49/29) Hyperbolic Matrix(719,3160,200,879) (-22/5,-79/18) -> (79/22,18/5) Hyperbolic Matrix(1441,6320,438,1921) (-79/18,-57/13) -> (23/7,79/24) Hyperbolic Matrix(721,3160,128,561) (-57/13,-35/8) -> (45/8,17/3) Hyperbolic Matrix(321,1400,202,881) (-35/8,-13/3) -> (27/17,35/22) Hyperbolic Matrix(159,680,112,479) (-13/3,-17/4) -> (17/12,27/19) Hyperbolic Matrix(161,680,76,321) (-17/4,-38/9) -> (2/1,17/8) Hyperbolic Matrix(721,3040,-550,-2319) (-38/9,-21/5) -> (-59/45,-38/29) Hyperbolic Matrix(241,1000,-154,-639) (-21/5,-4/1) -> (-36/23,-61/39) Hyperbolic Matrix(239,920,166,639) (-4/1,-23/6) -> (23/16,36/25) Hyperbolic Matrix(481,1840,-418,-1599) (-23/6,-42/11) -> (-38/33,-23/20) Hyperbolic Matrix(881,3360,-650,-2479) (-42/11,-19/5) -> (-61/45,-42/31) Hyperbolic Matrix(401,1520,148,561) (-19/5,-34/9) -> (46/17,19/7) Hyperbolic Matrix(1441,5440,636,2401) (-34/9,-83/22) -> (77/34,34/15) Hyperbolic Matrix(3681,13880,-1400,-5279) (-83/22,-49/13) -> (-71/27,-163/62) Hyperbolic Matrix(1201,4520,-850,-3199) (-49/13,-15/4) -> (-65/46,-89/63) Hyperbolic Matrix(879,3280,-622,-2321) (-15/4,-41/11) -> (-41/29,-65/46) Hyperbolic Matrix(881,3280,-408,-1519) (-41/11,-67/18) -> (-13/6,-41/19) Hyperbolic Matrix(1119,4160,-818,-3041) (-67/18,-26/7) -> (-26/19,-93/68) Hyperbolic Matrix(399,1480,86,319) (-26/7,-37/10) -> (37/8,14/3) Hyperbolic Matrix(401,1480,152,561) (-37/10,-11/3) -> (29/11,37/14) 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(641,2320,-486,-1759) (-29/8,-76/21) -> (-4/3,-29/22) Hyperbolic Matrix(2079,7520,-1460,-5281) (-76/21,-47/13) -> (-47/33,-84/59) Hyperbolic Matrix(1119,4040,598,2159) (-65/18,-83/23) -> (43/23,15/8) Hyperbolic Matrix(1519,5480,288,1039) (-83/23,-18/5) -> (58/11,37/7) Hyperbolic Matrix(879,3160,200,719) (-18/5,-79/22) -> (79/18,22/5) Hyperbolic Matrix(4079,14640,-1672,-6001) (-79/22,-61/17) -> (-61/25,-161/66) Hyperbolic Matrix(959,3440,758,2719) (-61/17,-43/12) -> (43/34,19/15) Hyperbolic Matrix(961,3440,-402,-1439) (-43/12,-25/7) -> (-55/23,-43/18) Hyperbolic Matrix(79,280,-68,-241) (-25/7,-7/2) -> (-7/6,-15/13) Hyperbolic Matrix(81,280,-46,-159) (-7/2,-17/5) -> (-23/13,-7/4) Hyperbolic Matrix(319,1080,236,799) (-17/5,-44/13) -> (4/3,23/17) Hyperbolic Matrix(3359,11360,-1940,-6561) (-44/13,-71/21) -> (-71/41,-116/67) Hyperbolic Matrix(1361,4600,308,1041) (-71/21,-27/8) -> (53/12,31/7) Hyperbolic Matrix(641,2160,-522,-1759) (-27/8,-37/11) -> (-43/35,-27/22) Hyperbolic Matrix(239,800,-72,-241) (-37/11,-10/3) -> (-10/3,-43/13) Parabolic Matrix(1841,6080,-1332,-4399) (-43/13,-33/10) -> (-47/34,-123/89) Hyperbolic Matrix(1359,4480,752,2479) (-33/10,-89/27) -> (9/5,47/26) Hyperbolic Matrix(2561,8440,680,2241) (-89/27,-56/17) -> (64/17,49/13) Hyperbolic Matrix(1919,6320,1360,4479) (-56/17,-79/24) -> (79/56,24/17) Hyperbolic Matrix(1921,6320,438,1441) (-79/24,-23/7) -> (57/13,79/18) Hyperbolic Matrix(159,520,122,399) (-23/7,-13/4) -> (13/10,17/13) Hyperbolic Matrix(161,520,-74,-239) (-13/4,-16/5) -> (-24/11,-13/6) Hyperbolic Matrix(239,760,50,159) (-16/5,-19/6) -> (19/4,24/5) Hyperbolic Matrix(319,1000,-230,-721) (-19/6,-3/1) -> (-43/31,-61/44) Hyperbolic Matrix(319,920,-250,-721) (-3/1,-20/7) -> (-60/47,-37/29) Hyperbolic Matrix(239,680,84,239) (-20/7,-17/6) -> (17/6,20/7) Hyperbolic Matrix(481,1360,-226,-639) (-17/6,-48/17) -> (-32/15,-17/8) Hyperbolic Matrix(641,1800,-370,-1039) (-31/11,-14/5) -> (-26/15,-71/41) Hyperbolic Matrix(159,440,-116,-321) (-14/5,-11/4) -> (-11/8,-26/19) Hyperbolic Matrix(1199,3280,-556,-1521) (-52/19,-41/15) -> (-41/19,-28/13) Hyperbolic Matrix(161,440,-146,-399) (-41/15,-30/11) -> (-10/9,-1/1) 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(1361,3680,-976,-2639) (-46/17,-73/27) -> (-7/5,-46/33) Hyperbolic Matrix(799,2160,118,319) (-73/27,-27/10) -> (27/4,7/1) Hyperbolic Matrix(401,1080,238,641) (-27/10,-35/13) -> (5/3,27/16) Hyperbolic Matrix(239,640,-90,-241) (-35/13,-8/3) -> (-8/3,-45/17) Parabolic Matrix(801,2120,484,1281) (-45/17,-82/31) -> (38/23,5/3) 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(561,1480,152,401) (-37/14,-29/11) -> (11/3,37/10) Hyperbolic Matrix(2399,6320,-1458,-3841) (-29/11,-79/30) -> (-79/48,-51/31) Hyperbolic Matrix(319,840,30,79) (-79/30,-50/19) -> (10/1,1/0) Hyperbolic Matrix(2159,5680,1368,3599) (-50/19,-71/27) -> (71/45,30/19) Hyperbolic Matrix(3439,9040,1430,3759) (-163/62,-92/35) -> (12/5,77/32) Hyperbolic Matrix(2801,7360,1614,4241) (-92/35,-21/8) -> (59/34,92/53) 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(719,1880,122,319) (-34/13,-115/44) -> (35/6,6/1) Hyperbolic Matrix(8479,22160,-4898,-12801) (-115/44,-81/31) -> (-161/93,-45/26) Hyperbolic Matrix(7839,20480,2878,7519) (-81/31,-128/49) -> (128/47,79/29) Hyperbolic Matrix(4319,11280,3124,8159) (-128/49,-47/18) -> (47/34,112/81) Hyperbolic Matrix(399,1040,-338,-881) (-47/18,-13/5) -> (-13/11,-33/28) Hyperbolic Matrix(401,1040,278,721) (-13/5,-44/17) -> (36/25,13/9) Hyperbolic Matrix(6879,17800,-4978,-12881) (-44/17,-119/46) -> (-199/144,-76/55) Hyperbolic Matrix(6959,18000,2876,7439) (-119/46,-75/29) -> (75/31,121/50) Hyperbolic Matrix(1439,3720,928,2399) (-75/29,-31/12) -> (31/20,45/29) Hyperbolic Matrix(481,1240,-372,-959) (-31/12,-18/7) -> (-22/17,-31/24) Hyperbolic Matrix(79,200,-32,-81) (-18/7,-5/2) -> (-5/2,-22/9) Parabolic Matrix(721,1760,492,1201) (-22/9,-61/25) -> (19/13,22/15) Hyperbolic Matrix(12479,30440,3476,8479) (-161/66,-100/41) -> (140/39,79/22) 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(479,1160,396,959) (-17/7,-46/19) -> (6/5,23/19) Hyperbolic Matrix(4561,11040,1686,4081) (-46/19,-121/50) -> (119/44,46/17) Hyperbolic Matrix(7439,18000,2876,6959) (-121/50,-75/31) -> (75/29,119/46) Hyperbolic Matrix(959,2320,198,479) (-75/31,-29/12) -> (29/6,5/1) Hyperbolic Matrix(1441,3480,-894,-2159) (-29/12,-41/17) -> (-79/49,-29/18) Hyperbolic Matrix(1759,4240,1128,2719) (-41/17,-53/22) -> (53/34,39/25) Hyperbolic Matrix(2159,5200,1760,4239) (-53/22,-65/27) -> (65/53,27/22) Hyperbolic Matrix(4321,10400,-3124,-7519) (-65/27,-12/5) -> (-148/107,-65/47) Hyperbolic Matrix(719,1720,334,799) (-12/5,-55/23) -> (15/7,28/13) Hyperbolic Matrix(721,1720,-402,-959) (-43/18,-31/13) -> (-9/5,-43/24) Hyperbolic Matrix(639,1520,-404,-961) (-31/13,-19/8) -> (-19/12,-49/31) Hyperbolic Matrix(321,760,68,161) (-19/8,-26/11) -> (14/3,19/4) Hyperbolic Matrix(559,1320,440,1039) (-26/11,-33/14) -> (33/26,14/11) 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(399,920,-278,-641) (-7/3,-23/10) -> (-23/16,-33/23) Hyperbolic Matrix(801,1840,488,1121) (-23/10,-39/17) -> (41/25,23/14) Hyperbolic Matrix(559,1280,314,719) (-39/17,-16/7) -> (16/9,41/23) Hyperbolic Matrix(719,1640,210,479) (-16/7,-41/18) -> (41/12,24/7) 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(2401,5440,636,1441) (-34/15,-77/34) -> (83/22,34/9) Hyperbolic Matrix(8161,18480,3604,8161) (-77/34,-120/53) -> (120/53,77/34) Hyperbolic Matrix(4559,10320,2014,4559) (-120/53,-43/19) -> (43/19,120/53) Hyperbolic Matrix(1521,3440,814,1841) (-43/19,-52/23) -> (28/15,43/23) Hyperbolic Matrix(2001,4520,1240,2801) (-52/23,-9/4) -> (71/44,92/57) Hyperbolic Matrix(161,360,72,161) (-9/4,-20/9) -> (20/9,9/4) Hyperbolic Matrix(559,1240,252,559) (-20/9,-31/14) -> (31/14,20/9) Hyperbolic Matrix(1121,2480,796,1761) (-31/14,-42/19) -> (38/27,31/22) Hyperbolic Matrix(399,880,326,719) (-42/19,-11/5) -> (11/9,38/31) Hyperbolic Matrix(2959,6480,1132,2479) (-46/21,-35/16) -> (115/44,34/13) Hyperbolic Matrix(1519,3320,878,1919) (-35/16,-24/11) -> (64/37,45/26) Hyperbolic Matrix(801,1720,224,481) (-28/13,-15/7) -> (25/7,68/19) Hyperbolic Matrix(1759,3760,1272,2719) (-15/7,-32/15) -> (112/81,65/47) Hyperbolic Matrix(321,680,76,161) (-17/8,-2/1) -> (38/9,17/4) Hyperbolic Matrix(401,760,296,561) (-2/1,-17/9) -> (23/17,42/31) Hyperbolic Matrix(319,600,42,79) (-17/9,-15/8) -> (15/2,23/3) Hyperbolic Matrix(641,1200,86,161) (-15/8,-43/23) -> (37/5,15/2) Hyperbolic Matrix(1841,3440,814,1521) (-43/23,-28/15) -> (52/23,43/19) Hyperbolic Matrix(879,1640,514,959) (-28/15,-13/7) -> (53/31,12/7) Hyperbolic Matrix(799,1480,-562,-1041) (-13/7,-24/13) -> (-64/45,-27/19) Hyperbolic Matrix(241,440,132,241) (-11/6,-20/11) -> (20/11,11/6) Hyperbolic Matrix(639,1160,352,639) (-20/11,-29/16) -> (29/16,20/11) Hyperbolic Matrix(1281,2320,884,1601) (-29/16,-38/21) -> (42/29,29/20) Hyperbolic Matrix(1681,3040,1018,1841) (-38/21,-47/26) -> (33/20,38/23) Hyperbolic Matrix(2479,4480,752,1359) (-47/26,-9/5) -> (89/27,33/10) Hyperbolic Matrix(3999,7160,-2324,-4161) (-43/24,-34/19) -> (-74/43,-117/68) Hyperbolic Matrix(1521,2720,940,1681) (-34/19,-25/14) -> (55/34,34/21) Hyperbolic Matrix(1121,2000,718,1281) (-25/14,-41/23) -> (39/25,25/16) 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(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(4401,7640,784,1361) (-33/19,-92/53) -> (28/5,73/13) Hyperbolic Matrix(4241,7360,1614,2801) (-92/53,-59/34) -> (21/8,92/35) Hyperbolic Matrix(1199,2080,230,399) (-59/34,-26/15) -> (26/5,21/4) Hyperbolic Matrix(20401,35320,5638,9761) (-116/67,-161/93) -> (199/55,76/21) Hyperbolic Matrix(879,1520,-602,-1041) (-45/26,-19/11) -> (-19/13,-35/24) Hyperbolic Matrix(4479,7720,1856,3199) (-50/29,-81/47) -> (41/17,70/29) Hyperbolic Matrix(2879,4960,-1858,-3201) (-81/47,-31/18) -> (-31/20,-79/51) Hyperbolic Matrix(2719,4680,1998,3439) (-31/18,-74/43) -> (34/25,49/36) 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(959,1640,514,879) (-12/7,-53/31) -> (13/7,28/15) Hyperbolic Matrix(2481,4240,890,1521) (-53/31,-41/24) -> (39/14,53/19) Hyperbolic Matrix(961,1640,610,1041) (-41/24,-29/17) -> (11/7,41/26) Hyperbolic Matrix(399,680,328,559) (-29/17,-17/10) -> (17/14,11/9) Hyperbolic Matrix(801,1360,566,961) (-17/10,-39/23) -> (41/29,17/12) Hyperbolic Matrix(4719,8000,2878,4879) (-39/23,-100/59) -> (100/61,41/25) Hyperbolic Matrix(7199,12200,4248,7199) (-100/59,-61/36) -> (61/36,100/59) Hyperbolic Matrix(1039,1760,330,559) (-61/36,-22/13) -> (22/7,19/6) Hyperbolic Matrix(1919,3240,568,959) (-49/29,-27/16) -> (27/8,71/21) Hyperbolic Matrix(641,1080,238,401) (-27/16,-5/3) -> (35/13,27/10) Hyperbolic Matrix(1039,1720,386,639) (-5/3,-38/23) -> (78/29,35/13) Hyperbolic Matrix(1841,3040,1018,1681) (-38/23,-33/20) -> (47/26,38/21) Hyperbolic Matrix(1601,2640,1262,2081) (-33/20,-28/17) -> (52/41,33/26) Hyperbolic Matrix(6001,9880,-4324,-7119) (-28/17,-79/48) -> (-161/116,-68/49) Hyperbolic Matrix(1119,1840,194,319) (-51/31,-23/14) -> (23/4,29/5) Hyperbolic 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(7199,11800,4392,7199) (-100/61,-59/36) -> (59/36,100/61) Hyperbolic Matrix(1441,2360,196,321) (-77/47,-18/11) -> (22/3,37/5) Hyperbolic Matrix(319,520,-246,-401) (-18/11,-13/8) -> (-13/10,-22/17) Hyperbolic Matrix(321,520,50,81) (-13/8,-34/21) -> (6/1,13/2) Hyperbolic Matrix(1681,2720,940,1521) (-34/21,-55/34) -> (25/14,34/19) Hyperbolic Matrix(2399,3880,-1534,-2481) (-55/34,-21/13) -> (-61/39,-25/16) Hyperbolic Matrix(1759,2840,-1388,-2241) (-21/13,-71/44) -> (-71/56,-19/15) 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(1839,2960,-1442,-2321) (-29/18,-37/23) -> (-37/29,-51/40) 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(3041,4840,2162,3441) (-78/49,-35/22) -> (45/32,38/27) Hyperbolic Matrix(881,1400,202,321) (-35/22,-27/17) -> (13/3,35/8) Hyperbolic Matrix(479,760,-404,-641) (-27/17,-19/12) -> (-19/16,-13/11) 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(2079,3280,1622,2559) (-71/45,-41/26) -> (41/32,9/7) Hyperbolic Matrix(1041,1640,610,961) (-41/26,-11/7) -> (29/17,41/24) Hyperbolic Matrix(1199,1880,-868,-1361) (-11/7,-36/23) -> (-76/55,-29/21) 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(8161,12720,5236,8161) (-53/34,-120/77) -> (120/77,53/34) Hyperbolic Matrix(10319,16080,6622,10319) (-120/77,-67/43) -> (67/43,120/77) Hyperbolic Matrix(13121,20440,4982,7761) (-67/43,-81/52) -> (79/30,187/71) Hyperbolic Matrix(4881,7600,3032,4721) (-81/52,-14/9) -> (66/41,161/100) Hyperbolic Matrix(799,1240,154,239) (-14/9,-45/29) -> (5/1,26/5) Hyperbolic Matrix(2399,3720,928,1439) (-45/29,-31/20) -> (31/12,75/29) Hyperbolic Matrix(9039,14000,3460,5359) (-79/51,-48/31) -> (128/49,81/31) Hyperbolic Matrix(801,1240,104,161) (-48/31,-17/11) -> (23/3,8/1) Hyperbolic Matrix(1921,2960,416,641) (-37/24,-20/13) -> (60/13,37/8) Hyperbolic Matrix(79,120,52,79) (-20/13,-3/2) -> (3/2,20/13) Hyperbolic Matrix(1281,1880,-926,-1359) (-3/2,-22/15) -> (-18/13,-83/60) Hyperbolic Matrix(1119,1640,436,639) (-22/15,-19/13) -> (59/23,18/7) Hyperbolic Matrix(879,1280,274,399) (-35/24,-16/11) -> (16/5,45/14) Hyperbolic Matrix(2399,3480,992,1439) (-45/31,-29/20) -> (29/12,75/31) Hyperbolic Matrix(1601,2320,884,1281) (-29/20,-42/29) -> (38/21,29/16) Hyperbolic Matrix(4559,6600,994,1439) (-42/29,-55/38) -> (55/12,78/17) Hyperbolic Matrix(3041,4400,1770,2561) (-55/38,-13/9) -> (67/39,55/32) Hyperbolic Matrix(721,1040,278,401) (-13/9,-36/25) -> (44/17,13/5) Hyperbolic Matrix(639,920,166,239) (-36/25,-23/16) -> (23/6,4/1) Hyperbolic Matrix(559,800,-392,-561) (-33/23,-10/7) -> (-10/7,-47/33) Parabolic Matrix(13121,18680,3878,5521) (-84/59,-121/85) -> (159/47,44/13) Hyperbolic Matrix(6801,9680,2530,3601) (-121/85,-37/26) -> (43/16,121/45) Hyperbolic Matrix(2559,3640,2024,2879) (-37/26,-64/45) -> (24/19,43/34) Hyperbolic Matrix(479,680,112,159) (-27/19,-17/12) -> (17/4,13/3) Hyperbolic Matrix(961,1360,566,801) (-17/12,-41/29) -> (39/23,17/10) Hyperbolic Matrix(5041,7120,1530,2161) (-89/63,-24/17) -> (56/17,89/27) Hyperbolic Matrix(4479,6320,1360,1919) (-24/17,-79/56) -> (79/24,56/17) Hyperbolic Matrix(6721,9480,-5274,-7439) (-79/56,-55/39) -> (-65/51,-79/62) Hyperbolic Matrix(2241,3160,1646,2321) (-55/39,-31/22) -> (49/36,15/11) Hyperbolic Matrix(1761,2480,796,1121) (-31/22,-38/27) -> (42/19,31/14) Hyperbolic Matrix(3839,5400,2388,3359) (-38/27,-45/32) -> (45/28,82/51) Hyperbolic Matrix(2561,3600,456,641) (-45/32,-7/5) -> (73/13,45/8) Hyperbolic Matrix(5281,7360,2182,3041) (-46/33,-39/28) -> (121/50,46/19) Hyperbolic Matrix(1839,2560,1436,1999) (-39/28,-32/23) -> (32/25,41/32) Hyperbolic Matrix(2561,3560,-1956,-2719) (-57/41,-25/18) -> (-55/42,-17/13) Hyperbolic Matrix(3919,5440,2708,3759) (-25/18,-93/67) -> (13/9,55/38) Hyperbolic Matrix(13199,18320,8472,11759) (-93/67,-161/116) -> (81/52,67/43) Hyperbolic Matrix(1761,2440,1040,1441) (-61/44,-18/13) -> (22/13,61/36) Hyperbolic Matrix(16801,23240,4454,6161) (-83/60,-148/107) -> (132/35,83/22) Hyperbolic Matrix(2401,3320,290,401) (-65/47,-112/81) -> (8/1,25/3) Hyperbolic Matrix(8159,11280,3124,4319) (-112/81,-47/34) -> (47/18,128/49) Hyperbolic Matrix(15919,22000,9898,13679) (-123/89,-199/144) -> (119/74,37/23) 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(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(3599,4920,2106,2879) (-67/49,-41/30) -> (41/24,53/31) Hyperbolic Matrix(1201,1640,528,721) (-41/30,-15/11) -> (25/11,41/18) Hyperbolic Matrix(2321,3160,1646,2241) (-15/11,-49/36) -> (31/22,55/39) Hyperbolic Matrix(3439,4680,1998,2719) (-49/36,-34/25) -> (74/43,31/18) 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(561,760,296,401) (-42/31,-23/17) -> (17/9,2/1) Hyperbolic Matrix(799,1080,236,319) (-23/17,-4/3) -> (44/13,17/5) Hyperbolic Matrix(2641,3480,1640,2161) (-29/22,-25/19) -> (95/59,29/18) 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(3359,4400,2320,3039) (-38/29,-55/42) -> (55/38,42/29) Hyperbolic Matrix(399,520,122,159) (-17/13,-13/10) -> (13/4,23/7) Hyperbolic Matrix(2881,3720,1116,1441) (-31/24,-40/31) -> (80/31,31/12) Hyperbolic Matrix(2079,2680,806,1039) (-40/31,-9/7) -> (49/19,80/31) Hyperbolic Matrix(2559,3280,1622,2079) (-9/7,-41/32) -> (41/26,71/45) Hyperbolic Matrix(1999,2560,1436,1839) (-41/32,-32/25) -> (32/23,39/28) Hyperbolic Matrix(719,920,-626,-801) (-32/25,-23/18) -> (-23/20,-8/7) Hyperbolic Matrix(1441,1840,502,641) (-23/18,-60/47) -> (20/7,23/8) Hyperbolic Matrix(5679,7240,1568,1999) (-51/40,-65/51) -> (105/29,29/8) Hyperbolic Matrix(1759,2240,1130,1439) (-79/62,-14/11) -> (14/9,81/52) Hyperbolic Matrix(1039,1320,440,559) (-14/11,-33/26) -> (33/14,26/11) Hyperbolic Matrix(2081,2640,1262,1601) (-33/26,-52/41) -> (28/17,33/20) Hyperbolic Matrix(3281,4160,1452,1841) (-52/41,-71/56) -> (9/4,52/23) Hyperbolic Matrix(159,200,-128,-161) (-19/15,-5/4) -> (-5/4,-21/17) Parabolic Matrix(2561,3160,714,881) (-21/17,-37/30) -> (43/12,61/17) 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(4239,5200,1760,2159) (-27/22,-65/53) -> (65/27,53/22) Hyperbolic Matrix(4241,5200,1110,1361) (-65/53,-38/31) -> (42/11,65/17) Hyperbolic Matrix(719,880,326,399) (-38/31,-11/9) -> (11/5,42/19) Hyperbolic Matrix(559,680,328,399) (-11/9,-17/14) -> (17/10,29/17) 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(959,1160,396,479) (-23/19,-6/5) -> (46/19,17/7) Hyperbolic Matrix(639,760,470,559) (-6/5,-19/16) -> (19/14,34/25) Hyperbolic Matrix(2479,2920,950,1119) (-33/28,-20/17) -> (60/23,47/18) Hyperbolic Matrix(239,280,204,239) (-20/17,-7/6) -> (7/6,20/17) Hyperbolic Matrix(2639,3040,2152,2479) (-15/13,-38/33) -> (38/31,65/53) Hyperbolic Matrix(319,360,70,79) (-8/7,-9/8) -> (9/2,32/7) Hyperbolic Matrix(1039,1160,644,719) (-9/8,-10/9) -> (50/31,71/44) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(399,-440,146,-161) (1/1,9/8) -> (71/26,41/15) Hyperbolic Matrix(241,-280,68,-79) (8/7,7/6) -> (7/2,32/9) Hyperbolic Matrix(881,-1040,338,-399) (20/17,13/11) -> (13/5,60/23) Hyperbolic Matrix(641,-760,404,-479) (13/11,6/5) -> (46/29,27/17) Hyperbolic Matrix(1759,-2160,522,-641) (27/22,16/13) -> (64/19,27/8) Hyperbolic Matrix(161,-200,128,-159) (16/13,5/4) -> (5/4,24/19) Parabolic Matrix(2241,-2840,1388,-1759) (19/15,52/41) -> (92/57,21/13) Hyperbolic Matrix(2321,-2960,1442,-1839) (14/11,37/29) -> (37/23,66/41) Hyperbolic Matrix(721,-920,250,-319) (37/29,23/18) -> (23/8,3/1) Hyperbolic Matrix(2001,-2560,562,-719) (23/18,32/25) -> (32/9,57/16) Hyperbolic Matrix(401,-520,246,-319) (9/7,13/10) -> (13/8,31/19) Hyperbolic Matrix(1681,-2200,366,-479) (17/13,38/29) -> (78/17,23/5) Hyperbolic Matrix(2319,-3040,550,-721) (38/29,21/16) -> (59/14,38/9) Hyperbolic Matrix(1279,-1680,488,-641) (21/16,4/3) -> (76/29,21/8) Hyperbolic Matrix(2479,-3360,650,-881) (42/31,19/14) -> (61/16,42/11) Hyperbolic Matrix(321,-440,116,-159) (15/11,11/8) -> (11/4,25/9) Hyperbolic Matrix(1361,-1880,868,-1199) (29/21,47/34) -> (47/30,11/7) Hyperbolic Matrix(1359,-1880,926,-1281) (65/47,18/13) -> (22/15,25/17) Hyperbolic Matrix(721,-1000,230,-319) (18/13,43/31) -> (3/1,22/7) Hyperbolic Matrix(2479,-3440,1442,-2001) (43/31,25/18) -> (55/32,43/25) Hyperbolic Matrix(1841,-2560,402,-559) (25/18,32/23) -> (32/7,55/12) Hyperbolic Matrix(2639,-3680,976,-1361) (39/28,7/5) -> (73/27,119/44) Hyperbolic Matrix(11599,-16360,7204,-10161) (55/39,79/56) -> (161/100,95/59) Hyperbolic Matrix(2321,-3280,622,-879) (24/17,41/29) -> (41/11,56/15) Hyperbolic Matrix(1519,-2160,282,-401) (27/19,37/26) -> (43/8,27/5) Hyperbolic Matrix(1039,-1480,450,-641) (37/26,10/7) -> (30/13,37/16) Hyperbolic Matrix(641,-920,278,-399) (10/7,23/16) -> (23/10,30/13) Hyperbolic Matrix(799,-1160,166,-241) (29/20,16/11) -> (24/5,29/6) Hyperbolic Matrix(1041,-1520,602,-879) (16/11,19/13) -> (19/11,64/37) Hyperbolic Matrix(1439,-2120,598,-881) (25/17,3/2) -> (77/32,65/27) Hyperbolic Matrix(959,-1480,208,-321) (20/13,17/11) -> (23/5,60/13) Hyperbolic Matrix(4079,-6320,1498,-2321) (48/31,31/20) -> (49/18,128/47) Hyperbolic Matrix(639,-1000,154,-241) (25/16,36/23) -> (4/1,25/6) Hyperbolic Matrix(3601,-5640,1072,-1679) (36/23,47/30) -> (47/14,84/25) Hyperbolic Matrix(961,-1520,404,-639) (30/19,19/12) -> (19/8,50/21) 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(2159,-3480,894,-1441) (29/18,50/31) -> (70/29,29/12) Hyperbolic Matrix(1039,-1680,248,-401) (21/13,55/34) -> (25/6,21/5) Hyperbolic Matrix(881,-1440,342,-559) (31/19,18/11) -> (18/7,49/19) Hyperbolic Matrix(2319,-3800,440,-721) (18/11,59/36) -> (21/4,58/11) Hyperbolic Matrix(3841,-6320,1458,-2399) (51/31,28/17) -> (108/41,29/11) Hyperbolic Matrix(1041,-1760,236,-399) (27/16,22/13) -> (22/5,53/12) Hyperbolic Matrix(5521,-9480,2096,-3599) (12/7,67/39) -> (187/71,108/41) Hyperbolic Matrix(6881,-11840,2882,-4959) (43/25,74/43) -> (74/31,117/49) Hyperbolic Matrix(881,-1520,324,-559) (31/18,19/11) -> (19/7,49/18) Hyperbolic Matrix(1039,-1800,370,-641) (45/26,26/15) -> (14/5,45/16) Hyperbolic Matrix(159,-280,46,-81) (7/4,16/9) -> (24/7,7/2) Hyperbolic Matrix(959,-1720,402,-721) (34/19,9/5) -> (31/13,74/31) Hyperbolic Matrix(239,-440,44,-81) (11/6,13/7) -> (27/5,11/2) Hyperbolic Matrix(319,-680,38,-81) (17/8,15/7) -> (25/3,17/2) Hyperbolic Matrix(1039,-2240,186,-401) (28/13,13/6) -> (67/12,28/5) Hyperbolic Matrix(239,-520,74,-161) (13/6,11/5) -> (29/9,13/4) Hyperbolic Matrix(1121,-2600,310,-719) (37/16,7/3) -> (47/13,123/34) Hyperbolic Matrix(319,-760,34,-81) (50/21,31/13) -> (9/1,10/1) Hyperbolic Matrix(1439,-3440,402,-961) (43/18,12/5) -> (68/19,43/12) Hyperbolic Matrix(81,-200,32,-79) (17/7,5/2) -> (5/2,23/9) Parabolic Matrix(5599,-14360,1560,-4001) (100/39,59/23) -> (61/17,140/39) Hyperbolic Matrix(5921,-15320,1762,-4559) (119/46,44/17) -> (84/25,121/36) Hyperbolic Matrix(10561,-27600,3122,-8159) (81/31,115/44) -> (115/34,159/47) Hyperbolic Matrix(4641,-12160,1282,-3359) (55/21,76/29) -> (76/21,105/29) Hyperbolic Matrix(5279,-13880,1400,-3681) (92/35,71/27) -> (49/13,132/35) Hyperbolic Matrix(241,-640,90,-239) (37/14,8/3) -> (8/3,43/16) Parabolic Matrix(321,-880,58,-159) (41/15,11/4) -> (11/2,39/7) Hyperbolic Matrix(959,-2680,258,-721) (53/19,14/5) -> (26/7,93/25) Hyperbolic Matrix(2401,-6760,710,-1999) (45/16,31/11) -> (71/21,115/34) Hyperbolic Matrix(241,-680,28,-79) (31/11,17/6) -> (17/2,9/1) Hyperbolic Matrix(721,-2320,124,-399) (45/14,29/9) -> (29/5,35/6) Hyperbolic Matrix(241,-800,72,-239) (33/10,10/3) -> (10/3,47/14) Parabolic Matrix(1201,-4280,314,-1119) (57/16,25/7) -> (65/17,23/6) Hyperbolic Matrix(321,-1160,44,-159) (18/5,47/13) -> (7/1,22/3) Hyperbolic Matrix(1439,-5360,258,-961) (67/18,41/11) -> (39/7,67/12) Hyperbolic Matrix(481,-1800,128,-479) (56/15,15/4) -> (15/4,64/17) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(79,760,-50,-481) -> Matrix(5,-2,8,-3) Matrix(79,680,-28,-241) -> Matrix(1,0,2,1) Matrix(161,1240,104,801) -> Matrix(1,0,0,1) Matrix(79,600,42,319) -> Matrix(3,-2,8,-5) Matrix(159,1160,-44,-321) -> Matrix(1,0,4,1) Matrix(319,2160,118,799) -> Matrix(1,0,2,1) Matrix(161,1080,24,161) -> Matrix(1,0,4,1) Matrix(79,520,12,79) -> Matrix(1,0,-2,1) Matrix(81,520,50,321) -> Matrix(1,0,0,1) Matrix(241,1400,-110,-639) -> Matrix(1,0,2,1) Matrix(319,1840,194,1119) -> Matrix(1,2,2,5) Matrix(321,1840,56,321) -> Matrix(1,0,8,1) Matrix(239,1360,42,239) -> Matrix(1,0,-6,1) Matrix(561,3160,128,721) -> Matrix(1,0,-4,1) Matrix(641,3600,456,2561) -> Matrix(1,0,-2,1) Matrix(1361,7640,784,4401) -> Matrix(31,-8,66,-17) Matrix(159,880,-58,-321) -> Matrix(1,0,0,1) Matrix(81,440,-44,-239) -> Matrix(1,0,0,1) Matrix(559,2960,166,879) -> Matrix(1,0,2,1) Matrix(721,3800,-440,-2319) -> Matrix(5,-2,8,-3) Matrix(399,2080,230,1199) -> Matrix(11,-6,24,-13) Matrix(239,1240,154,799) -> Matrix(3,-2,8,-5) Matrix(241,1160,-166,-799) -> Matrix(5,-2,8,-3) Matrix(159,760,50,239) -> Matrix(1,0,0,1) Matrix(161,760,68,321) -> Matrix(5,-2,8,-3) Matrix(319,1480,86,399) -> Matrix(1,0,2,1) Matrix(321,1480,-208,-959) -> Matrix(1,0,0,1) Matrix(559,2560,-402,-1841) -> Matrix(1,0,0,1) Matrix(79,360,70,319) -> Matrix(1,0,2,1) Matrix(161,720,36,161) -> Matrix(1,0,4,1) Matrix(559,2480,126,559) -> Matrix(1,0,-14,1) Matrix(399,1760,-236,-1041) -> Matrix(1,0,-4,1) Matrix(719,3160,200,879) -> Matrix(1,0,-4,1) Matrix(1441,6320,438,1921) -> Matrix(1,0,-4,1) Matrix(721,3160,128,561) -> Matrix(1,0,-4,1) Matrix(321,1400,202,881) -> Matrix(7,-2,18,-5) Matrix(159,680,112,479) -> Matrix(1,0,0,1) Matrix(161,680,76,321) -> Matrix(9,-4,16,-7) Matrix(721,3040,-550,-2319) -> Matrix(17,-8,32,-15) Matrix(241,1000,-154,-639) -> Matrix(1,0,0,1) Matrix(239,920,166,639) -> Matrix(1,0,0,1) Matrix(481,1840,-418,-1599) -> Matrix(9,-4,16,-7) Matrix(881,3360,-650,-2479) -> Matrix(21,-10,40,-19) Matrix(401,1520,148,561) -> Matrix(3,-2,8,-5) Matrix(1441,5440,636,2401) -> Matrix(1,0,0,1) Matrix(3681,13880,-1400,-5279) -> Matrix(3,-2,14,-9) Matrix(1201,4520,-850,-3199) -> Matrix(3,-2,2,-1) Matrix(879,3280,-622,-2321) -> Matrix(1,0,0,1) Matrix(881,3280,-408,-1519) -> Matrix(3,-2,8,-5) Matrix(1119,4160,-818,-3041) -> Matrix(1,-2,2,-3) Matrix(399,1480,86,319) -> Matrix(1,0,2,1) Matrix(401,1480,152,561) -> Matrix(1,0,0,1) Matrix(241,880,66,241) -> Matrix(1,0,6,1) Matrix(639,2320,176,639) -> Matrix(1,0,-16,1) Matrix(641,2320,-486,-1759) -> Matrix(1,0,-6,1) Matrix(2079,7520,-1460,-5281) -> Matrix(1,0,-6,1) Matrix(1119,4040,598,2159) -> Matrix(11,-2,28,-5) Matrix(1519,5480,288,1039) -> Matrix(1,0,-4,1) Matrix(879,3160,200,719) -> Matrix(1,0,-4,1) Matrix(4079,14640,-1672,-6001) -> Matrix(1,0,-2,1) Matrix(959,3440,758,2719) -> Matrix(7,-2,18,-5) Matrix(961,3440,-402,-1439) -> Matrix(11,-2,28,-5) Matrix(79,280,-68,-241) -> Matrix(1,0,-2,1) Matrix(81,280,-46,-159) -> Matrix(1,0,0,1) Matrix(319,1080,236,799) -> Matrix(1,2,2,5) Matrix(3359,11360,-1940,-6561) -> Matrix(7,4,12,7) Matrix(1361,4600,308,1041) -> Matrix(1,0,-2,1) Matrix(641,2160,-522,-1759) -> Matrix(1,0,2,1) Matrix(239,800,-72,-241) -> Matrix(1,0,6,1) Matrix(1841,6080,-1332,-4399) -> Matrix(19,-4,24,-5) Matrix(1359,4480,752,2479) -> Matrix(15,-4,34,-9) Matrix(2561,8440,680,2241) -> Matrix(7,-2,18,-5) Matrix(1919,6320,1360,4479) -> Matrix(1,0,-2,1) Matrix(1921,6320,438,1441) -> Matrix(1,0,-4,1) Matrix(159,520,122,399) -> Matrix(7,-2,18,-5) Matrix(161,520,-74,-239) -> Matrix(1,0,0,1) Matrix(239,760,50,159) -> Matrix(1,0,0,1) Matrix(319,1000,-230,-721) -> Matrix(1,-2,2,-3) Matrix(319,920,-250,-721) -> Matrix(1,0,0,1) Matrix(239,680,84,239) -> Matrix(1,0,-6,1) Matrix(481,1360,-226,-639) -> Matrix(7,-2,18,-5) Matrix(641,1800,-370,-1039) -> Matrix(17,-4,30,-7) Matrix(159,440,-116,-321) -> Matrix(1,0,-2,1) Matrix(1199,3280,-556,-1521) -> Matrix(7,-2,18,-5) Matrix(161,440,-146,-399) -> Matrix(1,0,-2,1) Matrix(559,1520,-324,-881) -> Matrix(9,-4,16,-7) Matrix(561,1520,148,401) -> Matrix(3,-2,8,-5) Matrix(1361,3680,-976,-2639) -> Matrix(1,-2,2,-3) Matrix(799,2160,118,319) -> Matrix(1,0,2,1) Matrix(401,1080,238,641) -> Matrix(1,0,0,1) Matrix(239,640,-90,-241) -> Matrix(1,0,2,1) Matrix(801,2120,484,1281) -> Matrix(7,-2,18,-5) Matrix(9679,25600,-6080,-16081) -> Matrix(1,0,-2,1) Matrix(8321,22000,2300,6081) -> Matrix(1,0,-6,1) Matrix(561,1480,152,401) -> Matrix(1,0,0,1) Matrix(2399,6320,-1458,-3841) -> Matrix(9,-2,14,-3) Matrix(319,840,30,79) -> Matrix(1,0,-2,1) Matrix(2159,5680,1368,3599) -> Matrix(11,-2,28,-5) Matrix(3439,9040,1430,3759) -> Matrix(9,-2,14,-3) Matrix(2801,7360,1614,4241) -> Matrix(23,-6,50,-13) Matrix(641,1680,-488,-1279) -> Matrix(7,-2,18,-5) Matrix(1039,2720,458,1199) -> Matrix(1,0,-2,1) Matrix(719,1880,122,319) -> Matrix(7,-2,18,-5) Matrix(8479,22160,-4898,-12801) -> Matrix(9,-2,14,-3) Matrix(7839,20480,2878,7519) -> Matrix(1,0,-2,1) Matrix(4319,11280,3124,8159) -> Matrix(19,-6,54,-17) Matrix(399,1040,-338,-881) -> Matrix(5,-2,8,-3) Matrix(401,1040,278,721) -> Matrix(7,-2,18,-5) Matrix(6879,17800,-4978,-12881) -> Matrix(5,-2,8,-3) Matrix(6959,18000,2876,7439) -> Matrix(5,-2,8,-3) Matrix(1439,3720,928,2399) -> Matrix(13,-4,36,-11) Matrix(481,1240,-372,-959) -> Matrix(17,-6,20,-7) Matrix(79,200,-32,-81) -> Matrix(1,0,0,1) Matrix(721,1760,492,1201) -> Matrix(1,0,0,1) Matrix(12479,30440,3476,8479) -> Matrix(1,0,-2,1) Matrix(3281,8000,1280,3121) -> Matrix(1,0,-2,1) Matrix(559,1360,164,399) -> Matrix(1,0,0,1) Matrix(479,1160,396,959) -> Matrix(17,-6,54,-19) Matrix(4561,11040,1686,4081) -> Matrix(11,-4,36,-13) Matrix(7439,18000,2876,6959) -> Matrix(5,-2,8,-3) Matrix(959,2320,198,479) -> Matrix(11,-4,14,-5) Matrix(1441,3480,-894,-2159) -> Matrix(5,-2,8,-3) Matrix(1759,4240,1128,2719) -> Matrix(5,-2,18,-7) Matrix(2159,5200,1760,4239) -> Matrix(5,-2,8,-3) Matrix(4321,10400,-3124,-7519) -> Matrix(11,-4,14,-5) Matrix(719,1720,334,799) -> Matrix(11,-4,14,-5) Matrix(721,1720,-402,-959) -> Matrix(9,-4,16,-7) Matrix(639,1520,-404,-961) -> Matrix(9,-4,16,-7) Matrix(321,760,68,161) -> Matrix(5,-2,8,-3) Matrix(559,1320,440,1039) -> Matrix(5,-2,8,-3) Matrix(1121,2640,476,1121) -> Matrix(21,-10,40,-19) Matrix(239,560,102,239) -> Matrix(1,0,0,1) Matrix(399,920,-278,-641) -> Matrix(5,-2,8,-3) Matrix(801,1840,488,1121) -> Matrix(7,-2,18,-5) Matrix(559,1280,314,719) -> Matrix(7,-2,18,-5) Matrix(719,1640,210,479) -> Matrix(5,-2,18,-7) Matrix(879,2000,316,719) -> Matrix(5,-2,8,-3) Matrix(1199,2720,458,1039) -> Matrix(1,0,-2,1) Matrix(2401,5440,636,1441) -> Matrix(1,0,0,1) Matrix(8161,18480,3604,8161) -> Matrix(5,-2,8,-3) Matrix(4559,10320,2014,4559) -> Matrix(11,-4,14,-5) Matrix(1521,3440,814,1841) -> Matrix(1,0,0,1) Matrix(2001,4520,1240,2801) -> Matrix(1,0,0,1) Matrix(161,360,72,161) -> Matrix(9,-4,16,-7) Matrix(559,1240,252,559) -> Matrix(11,-6,24,-13) Matrix(1121,2480,796,1761) -> Matrix(3,-2,8,-5) Matrix(399,880,326,719) -> Matrix(3,-2,8,-5) Matrix(2959,6480,1132,2479) -> Matrix(7,-2,4,-1) Matrix(1519,3320,878,1919) -> Matrix(3,-2,8,-5) Matrix(801,1720,224,481) -> Matrix(5,-2,-2,1) Matrix(1759,3760,1272,2719) -> Matrix(7,-2,18,-5) Matrix(321,680,76,161) -> Matrix(9,-4,16,-7) Matrix(401,760,296,561) -> Matrix(11,-6,24,-13) Matrix(319,600,42,79) -> Matrix(3,-2,8,-5) Matrix(641,1200,86,161) -> Matrix(3,-2,8,-5) Matrix(1841,3440,814,1521) -> Matrix(1,0,0,1) Matrix(879,1640,514,959) -> Matrix(5,-4,14,-11) Matrix(799,1480,-562,-1041) -> Matrix(1,0,0,1) Matrix(241,440,132,241) -> Matrix(5,-2,8,-3) Matrix(639,1160,352,639) -> Matrix(23,-12,48,-25) Matrix(1281,2320,884,1601) -> Matrix(11,-6,24,-13) Matrix(1681,3040,1018,1841) -> Matrix(11,-6,24,-13) Matrix(2479,4480,752,1359) -> Matrix(7,-4,2,-1) Matrix(3999,7160,-2324,-4161) -> Matrix(35,-24,54,-37) Matrix(1521,2720,940,1681) -> Matrix(3,-2,2,-1) Matrix(1121,2000,718,1281) -> Matrix(3,-2,8,-5) Matrix(719,1280,314,559) -> Matrix(3,-2,2,-1) Matrix(721,1280,316,561) -> Matrix(1,-2,2,-3) Matrix(1039,1840,406,719) -> Matrix(1,0,0,1) Matrix(321,560,184,321) -> Matrix(5,-2,8,-3) Matrix(1519,2640,874,1519) -> Matrix(39,-20,80,-41) Matrix(4401,7640,784,1361) -> Matrix(15,-8,2,-1) Matrix(4241,7360,1614,2801) -> Matrix(11,-6,2,-1) Matrix(1199,2080,230,399) -> Matrix(11,-6,24,-13) Matrix(20401,35320,5638,9761) -> Matrix(7,-4,-26,15) Matrix(879,1520,-602,-1041) -> Matrix(3,-2,8,-5) Matrix(4479,7720,1856,3199) -> Matrix(13,-8,18,-11) Matrix(2879,4960,-1858,-3201) -> Matrix(3,-2,8,-5) Matrix(2719,4680,1998,3439) -> Matrix(3,-2,14,-9) Matrix(14879,25600,6230,10719) -> Matrix(85,-56,126,-83) Matrix(14881,25600,6232,10721) -> Matrix(71,-48,108,-73) Matrix(2001,3440,-1442,-2479) -> Matrix(1,0,0,1) Matrix(959,1640,514,879) -> Matrix(5,-4,14,-11) Matrix(2481,4240,890,1521) -> Matrix(3,-2,2,-1) Matrix(961,1640,610,1041) -> Matrix(5,-4,14,-11) Matrix(399,680,328,559) -> Matrix(5,-4,14,-11) Matrix(801,1360,566,961) -> Matrix(1,0,2,1) Matrix(4719,8000,2878,4879) -> Matrix(3,-2,8,-5) Matrix(7199,12200,4248,7199) -> Matrix(1,-2,4,-7) Matrix(1039,1760,330,559) -> Matrix(1,0,2,1) Matrix(1919,3240,568,959) -> Matrix(1,0,2,1) Matrix(641,1080,238,401) -> Matrix(1,0,0,1) Matrix(1039,1720,386,639) -> Matrix(3,-2,8,-5) Matrix(1841,3040,1018,1681) -> Matrix(11,-6,24,-13) Matrix(1601,2640,1262,2081) -> Matrix(7,-4,16,-9) Matrix(6001,9880,-4324,-7119) -> Matrix(1,0,0,1) Matrix(1119,1840,194,319) -> Matrix(3,-2,14,-9) Matrix(1121,1840,488,801) -> Matrix(3,-2,2,-1) Matrix(4879,8000,2878,4719) -> Matrix(3,-2,8,-5) Matrix(7199,11800,4392,7199) -> Matrix(3,-2,8,-5) Matrix(1441,2360,196,321) -> Matrix(3,-2,8,-5) Matrix(319,520,-246,-401) -> Matrix(1,-2,2,-3) Matrix(321,520,50,81) -> Matrix(1,0,0,1) Matrix(1681,2720,940,1521) -> Matrix(7,-2,18,-5) Matrix(2399,3880,-1534,-2481) -> Matrix(5,-2,8,-3) Matrix(1759,2840,-1388,-2241) -> Matrix(1,0,0,1) Matrix(3521,5680,1290,2081) -> Matrix(3,-2,2,-1) Matrix(3919,6320,1438,2319) -> Matrix(1,-2,2,-3) Matrix(1839,2960,-1442,-2321) -> Matrix(1,0,0,1) Matrix(399,640,-250,-401) -> Matrix(5,-2,8,-3) Matrix(6079,9680,1808,2879) -> Matrix(3,-2,14,-9) Matrix(64319,102400,23918,38079) -> Matrix(5,-4,14,-11) Matrix(64321,102400,23920,38081) -> Matrix(1,0,2,1) Matrix(3041,4840,2162,3441) -> Matrix(3,-2,8,-5) Matrix(881,1400,202,321) -> Matrix(3,-2,2,-1) Matrix(479,760,-404,-641) -> Matrix(1,0,0,1) Matrix(4001,6320,1520,2401) -> Matrix(3,-2,2,-1) Matrix(3599,5680,1368,2159) -> Matrix(3,-2,-4,3) Matrix(2079,3280,1622,2559) -> Matrix(3,-2,8,-5) Matrix(1041,1640,610,961) -> Matrix(5,-4,14,-11) Matrix(1199,1880,-868,-1361) -> Matrix(3,-4,4,-5) Matrix(1281,2000,718,1121) -> Matrix(3,-2,8,-5) Matrix(2719,4240,1128,1759) -> Matrix(1,-2,2,-3) Matrix(8161,12720,5236,8161) -> Matrix(1,0,4,1) Matrix(10319,16080,6622,10319) -> Matrix(1,0,-2,1) Matrix(13121,20440,4982,7761) -> Matrix(1,0,-2,1) Matrix(4881,7600,3032,4721) -> Matrix(1,0,0,1) Matrix(799,1240,154,239) -> Matrix(3,-2,8,-5) Matrix(2399,3720,928,1439) -> Matrix(5,-4,4,-3) Matrix(9039,14000,3460,5359) -> Matrix(3,-2,2,-1) Matrix(801,1240,104,161) -> Matrix(1,0,0,1) Matrix(1921,2960,416,641) -> Matrix(1,0,0,1) Matrix(79,120,52,79) -> Matrix(3,-2,8,-5) Matrix(1281,1880,-926,-1359) -> Matrix(1,-2,2,-3) Matrix(1119,1640,436,639) -> Matrix(1,0,0,1) Matrix(879,1280,274,399) -> Matrix(1,0,0,1) Matrix(2399,3480,992,1439) -> Matrix(1,-2,2,-3) Matrix(1601,2320,884,1281) -> Matrix(11,-6,24,-13) Matrix(4559,6600,994,1439) -> Matrix(7,-4,16,-9) Matrix(3041,4400,1770,2561) -> Matrix(7,-4,16,-9) Matrix(721,1040,278,401) -> Matrix(3,-2,2,-1) Matrix(639,920,166,239) -> Matrix(1,0,0,1) Matrix(559,800,-392,-561) -> Matrix(3,-2,2,-1) Matrix(13121,18680,3878,5521) -> Matrix(1,0,4,1) Matrix(6801,9680,2530,3601) -> Matrix(1,0,2,1) Matrix(2559,3640,2024,2879) -> Matrix(3,-2,8,-5) Matrix(479,680,112,159) -> Matrix(1,0,0,1) Matrix(961,1360,566,801) -> Matrix(1,0,2,1) Matrix(5041,7120,1530,2161) -> Matrix(1,0,0,1) Matrix(4479,6320,1360,1919) -> Matrix(1,0,-2,1) Matrix(6721,9480,-5274,-7439) -> Matrix(1,0,0,1) Matrix(2241,3160,1646,2321) -> Matrix(1,0,0,1) Matrix(1761,2480,796,1121) -> Matrix(3,-2,8,-5) Matrix(3839,5400,2388,3359) -> Matrix(1,0,0,1) Matrix(2561,3600,456,641) -> Matrix(1,0,-2,1) Matrix(5281,7360,2182,3041) -> Matrix(1,-2,2,-3) Matrix(1839,2560,1436,1999) -> Matrix(3,-2,8,-5) Matrix(2561,3560,-1956,-2719) -> Matrix(5,-2,8,-3) Matrix(3919,5440,2708,3759) -> Matrix(7,-4,16,-9) Matrix(13199,18320,8472,11759) -> Matrix(3,-2,8,-5) Matrix(1761,2440,1040,1441) -> Matrix(3,-2,8,-5) Matrix(16801,23240,4454,6161) -> Matrix(5,-4,14,-11) Matrix(2401,3320,290,401) -> Matrix(5,-4,14,-11) Matrix(8159,11280,3124,4319) -> Matrix(7,-6,6,-5) Matrix(15919,22000,9898,13679) -> Matrix(5,-4,4,-3) Matrix(1681,2320,1218,1681) -> Matrix(13,-12,38,-35) Matrix(639,880,464,639) -> Matrix(1,-2,4,-7) Matrix(18719,25600,5030,6879) -> Matrix(7,-6,20,-17) Matrix(18721,25600,5032,6881) -> Matrix(5,-6,16,-19) Matrix(3599,4920,2106,2879) -> Matrix(3,-2,8,-5) Matrix(1201,1640,528,721) -> Matrix(1,-2,2,-3) Matrix(2321,3160,1646,2241) -> Matrix(1,0,0,1) Matrix(3439,4680,1998,2719) -> Matrix(1,2,2,5) Matrix(1119,1520,706,959) -> Matrix(1,0,0,1) Matrix(4719,6400,1238,1679) -> Matrix(33,-16,64,-31) Matrix(4721,6400,1240,1681) -> Matrix(35,-18,72,-37) Matrix(561,760,296,401) -> Matrix(11,-6,24,-13) Matrix(799,1080,236,319) -> Matrix(3,-2,14,-9) Matrix(2641,3480,1640,2161) -> Matrix(1,0,0,1) Matrix(4879,6400,1158,1519) -> Matrix(29,-14,56,-27) Matrix(4881,6400,1160,1521) -> Matrix(31,-16,64,-33) Matrix(3359,4400,2320,3039) -> Matrix(11,-6,24,-13) Matrix(399,520,122,159) -> Matrix(3,-2,2,-1) Matrix(2881,3720,1116,1441) -> Matrix(17,-16,16,-15) Matrix(2079,2680,806,1039) -> Matrix(9,-10,10,-11) Matrix(2559,3280,1622,2079) -> Matrix(3,-2,8,-5) Matrix(1999,2560,1436,1839) -> Matrix(3,-2,8,-5) Matrix(719,920,-626,-801) -> Matrix(1,-2,2,-3) Matrix(1441,1840,502,641) -> Matrix(1,0,4,1) Matrix(5679,7240,1568,1999) -> Matrix(1,0,-6,1) Matrix(1759,2240,1130,1439) -> Matrix(1,0,0,1) Matrix(1039,1320,440,559) -> Matrix(5,-2,8,-3) Matrix(2081,2640,1262,1601) -> Matrix(7,-4,16,-9) Matrix(3281,4160,1452,1841) -> Matrix(1,0,0,1) Matrix(159,200,-128,-161) -> Matrix(3,-2,2,-1) Matrix(2561,3160,714,881) -> Matrix(1,0,0,1) Matrix(1039,1280,194,239) -> Matrix(1,0,2,1) Matrix(1041,1280,196,241) -> Matrix(1,0,0,1) Matrix(4239,5200,1760,2159) -> Matrix(5,-2,8,-3) Matrix(4241,5200,1110,1361) -> Matrix(9,-4,16,-7) Matrix(719,880,326,399) -> Matrix(3,-2,8,-5) Matrix(559,680,328,399) -> Matrix(5,-4,14,-11) Matrix(1121,1360,924,1121) -> Matrix(13,-12,38,-35) Matrix(1519,1840,1254,1519) -> Matrix(15,-16,46,-49) Matrix(959,1160,396,479) -> Matrix(5,-6,6,-7) Matrix(639,760,470,559) -> Matrix(1,0,0,1) Matrix(2479,2920,950,1119) -> Matrix(9,-8,8,-7) Matrix(239,280,204,239) -> Matrix(1,-2,4,-7) Matrix(2639,3040,2152,2479) -> Matrix(1,0,0,1) Matrix(319,360,70,79) -> Matrix(1,0,2,1) Matrix(1039,1160,644,719) -> Matrix(3,-2,8,-5) Matrix(1,0,2,1) -> Matrix(1,0,2,1) Matrix(399,-440,146,-161) -> Matrix(1,0,-2,1) Matrix(241,-280,68,-79) -> Matrix(1,0,-2,1) Matrix(881,-1040,338,-399) -> Matrix(5,-2,8,-3) Matrix(641,-760,404,-479) -> Matrix(1,0,0,1) Matrix(1759,-2160,522,-641) -> Matrix(1,0,2,1) Matrix(161,-200,128,-159) -> Matrix(7,-2,18,-5) Matrix(2241,-2840,1388,-1759) -> Matrix(1,0,0,1) Matrix(2321,-2960,1442,-1839) -> Matrix(1,0,0,1) Matrix(721,-920,250,-319) -> Matrix(1,0,0,1) Matrix(2001,-2560,562,-719) -> Matrix(7,-2,4,-1) Matrix(401,-520,246,-319) -> Matrix(5,-2,18,-7) Matrix(1681,-2200,366,-479) -> Matrix(5,-2,8,-3) Matrix(2319,-3040,550,-721) -> Matrix(17,-8,32,-15) Matrix(1279,-1680,488,-641) -> Matrix(3,-2,2,-1) Matrix(2479,-3360,650,-881) -> Matrix(21,-10,40,-19) Matrix(321,-440,116,-159) -> Matrix(1,0,-2,1) Matrix(1361,-1880,868,-1199) -> Matrix(11,-4,36,-13) Matrix(1359,-1880,926,-1281) -> Matrix(5,-2,18,-7) Matrix(721,-1000,230,-319) -> Matrix(5,-2,18,-7) Matrix(2479,-3440,1442,-2001) -> Matrix(1,0,0,1) Matrix(1841,-2560,402,-559) -> Matrix(1,0,0,1) Matrix(2639,-3680,976,-1361) -> Matrix(5,-2,18,-7) Matrix(11599,-16360,7204,-10161) -> Matrix(1,0,0,1) Matrix(2321,-3280,622,-879) -> Matrix(1,0,0,1) Matrix(1519,-2160,282,-401) -> Matrix(1,0,0,1) Matrix(1039,-1480,450,-641) -> Matrix(1,0,-2,1) Matrix(641,-920,278,-399) -> Matrix(5,-2,8,-3) Matrix(799,-1160,166,-241) -> Matrix(5,-2,8,-3) Matrix(1041,-1520,602,-879) -> Matrix(3,-2,8,-5) Matrix(1439,-2120,598,-881) -> Matrix(5,-2,8,-3) Matrix(959,-1480,208,-321) -> Matrix(1,0,0,1) Matrix(4079,-6320,1498,-2321) -> Matrix(5,-2,8,-3) Matrix(639,-1000,154,-241) -> Matrix(1,0,0,1) Matrix(3601,-5640,1072,-1679) -> Matrix(1,0,2,1) Matrix(961,-1520,404,-639) -> Matrix(9,-4,16,-7) Matrix(401,-640,250,-399) -> Matrix(5,-2,8,-3) Matrix(15921,-25600,5920,-9519) -> Matrix(3,-2,8,-5) Matrix(2159,-3480,894,-1441) -> Matrix(5,-2,8,-3) Matrix(1039,-1680,248,-401) -> Matrix(3,-2,8,-5) Matrix(881,-1440,342,-559) -> Matrix(11,-4,14,-5) Matrix(2319,-3800,440,-721) -> Matrix(5,-2,8,-3) Matrix(3841,-6320,1458,-2399) -> Matrix(5,-2,-2,1) Matrix(1041,-1760,236,-399) -> Matrix(1,0,-4,1) Matrix(5521,-9480,2096,-3599) -> Matrix(5,-2,-2,1) Matrix(6881,-11840,2882,-4959) -> Matrix(69,-28,106,-43) Matrix(881,-1520,324,-559) -> Matrix(9,-4,16,-7) Matrix(1039,-1800,370,-641) -> Matrix(9,-4,-2,1) Matrix(159,-280,46,-81) -> Matrix(1,0,0,1) Matrix(959,-1720,402,-721) -> Matrix(9,-4,16,-7) Matrix(239,-440,44,-81) -> Matrix(1,0,0,1) Matrix(319,-680,38,-81) -> Matrix(3,-2,8,-5) Matrix(1039,-2240,186,-401) -> Matrix(3,-2,2,-1) Matrix(239,-520,74,-161) -> Matrix(1,0,0,1) Matrix(1121,-2600,310,-719) -> Matrix(1,0,-4,1) Matrix(319,-760,34,-81) -> Matrix(3,-2,8,-5) Matrix(1439,-3440,402,-961) -> Matrix(3,-2,-4,3) Matrix(81,-200,32,-79) -> Matrix(1,0,0,1) Matrix(5599,-14360,1560,-4001) -> Matrix(1,0,-2,1) Matrix(5921,-15320,1762,-4559) -> Matrix(1,-2,6,-11) Matrix(10561,-27600,3122,-8159) -> Matrix(1,-2,6,-11) Matrix(4641,-12160,1282,-3359) -> Matrix(1,-2,-4,9) Matrix(5279,-13880,1400,-3681) -> Matrix(1,2,2,5) Matrix(241,-640,90,-239) -> Matrix(1,0,2,1) Matrix(321,-880,58,-159) -> Matrix(1,0,0,1) Matrix(959,-2680,258,-721) -> Matrix(1,-2,4,-7) Matrix(2401,-6760,710,-1999) -> Matrix(1,0,6,1) Matrix(241,-680,28,-79) -> Matrix(1,0,2,1) Matrix(721,-2320,124,-399) -> Matrix(1,0,2,1) Matrix(241,-800,72,-239) -> Matrix(1,0,6,1) Matrix(1201,-4280,314,-1119) -> Matrix(1,-4,2,-7) Matrix(321,-1160,44,-159) -> Matrix(1,0,4,1) Matrix(1439,-5360,258,-961) -> Matrix(1,0,-2,1) Matrix(481,-1800,128,-479) -> Matrix(7,-2,18,-5) 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.