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): 1944 Minimal number of generators: 325 Number of equivalence classes of cusps: 90 Genus: 118 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -9/1 -15/2 -6/1 -21/4 -9/2 -21/5 -18/5 -3/1 -18/7 -12/5 -9/4 -15/7 -9/5 -81/52 -3/2 -27/20 -9/7 -27/23 -9/8 0/1 1/1 9/8 27/22 9/7 27/19 3/2 27/17 27/16 9/5 2/1 15/7 9/4 12/5 27/11 5/2 18/7 108/41 27/10 81/29 54/19 3/1 54/17 135/41 162/49 27/8 24/7 7/2 189/53 18/5 108/29 162/43 27/7 4/1 21/5 72/17 13/3 9/2 14/3 108/23 19/4 24/5 135/28 5/1 26/5 21/4 90/17 16/3 27/5 11/2 17/3 23/4 81/14 29/5 6/1 25/4 19/3 13/2 20/3 27/4 7/1 22/3 15/2 23/3 54/7 8/1 17/2 9/1 10/1 11/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 0/1 1/0 -9/1 -1/1 -8/1 0/1 1/0 -15/2 1/0 -7/1 -1/1 -13/2 -1/1 -2/3 -19/3 -1/1 -25/4 -4/7 -1/2 -6/1 0/1 -29/5 1/1 -23/4 0/1 1/0 -17/3 -1/1 -11/2 0/1 1/0 -27/5 1/0 -16/3 -1/1 1/0 -21/4 1/0 -5/1 1/1 -19/4 -2/1 1/0 -52/11 0/1 1/0 -33/7 -1/1 -14/3 0/1 1/0 -23/5 1/1 -9/2 1/0 -31/7 -5/1 -53/12 -5/1 -4/1 -22/5 -4/1 1/0 -35/8 -4/1 1/0 -13/3 -3/1 -17/4 -4/1 1/0 -21/5 -3/1 -4/1 -2/1 1/0 -19/5 -5/3 -34/9 -5/3 -13/8 -49/13 -17/11 -15/4 -3/2 -41/11 -1/1 -26/7 -3/2 -1/1 -11/3 -1/1 -29/8 -4/1 1/0 -18/5 -2/1 -25/7 -1/1 -57/16 1/0 -32/9 -5/2 -2/1 -7/2 -2/1 -1/1 -24/7 -2/1 -17/5 -1/1 -27/8 -2/1 -10/3 -2/1 -3/2 -43/13 -1/1 -33/10 -3/2 -56/17 -14/9 -3/2 -23/7 -7/5 -13/4 -2/1 -1/1 -16/5 -3/2 -1/1 -19/6 -3/2 -4/3 -22/7 -3/2 -4/3 -3/1 -1/1 -20/7 -1/1 1/0 -17/6 -2/1 1/0 -31/11 -1/1 -14/5 -2/1 1/0 -53/19 -1/1 -39/14 1/0 -103/37 3/1 -64/23 -4/1 1/0 -25/9 -3/1 -11/4 -2/1 1/0 -30/11 -2/1 -19/7 -3/1 -27/10 -2/1 -8/3 -2/1 -3/2 -29/11 -1/1 -50/19 -2/1 -3/2 -21/8 -3/2 -97/37 -7/5 -76/29 -3/2 -4/3 -55/21 -1/1 -34/13 -3/2 -1/1 -13/5 -1/1 -31/12 -3/2 -4/3 -18/7 -1/1 -23/9 -3/1 -51/20 -3/2 -79/31 -1/1 -28/11 -1/1 1/0 -5/2 -2/1 1/0 -27/11 -2/1 -22/9 -2/1 -11/6 -39/16 -7/4 -17/7 -5/3 -29/12 -2/1 -3/2 -41/17 -1/1 -53/22 -2/1 -1/1 -12/5 -2/1 -55/23 -5/3 -43/18 -2/1 -3/2 -31/13 -3/1 -19/8 -2/1 -7/4 -64/27 -7/4 -12/7 -45/19 -5/3 -26/11 -7/4 -5/3 -33/14 -3/2 -7/3 -5/3 -23/10 -8/5 -3/2 -39/17 -5/3 -55/24 -2/1 -5/3 -16/7 -5/3 -3/2 -41/18 -5/3 -8/5 -25/11 -11/7 -9/4 -3/2 -29/13 -7/5 -49/22 -2/1 -3/2 -20/9 -3/2 -7/5 -51/23 -7/5 -31/14 -11/8 -4/3 -11/5 -1/1 -13/6 -4/3 -1/1 -15/7 -1/1 -2/1 -3/2 -4/3 -19/10 -3/2 -10/7 -17/9 -7/5 -15/8 -3/2 -13/7 -7/5 -24/13 -4/3 -11/6 -11/8 -4/3 -31/17 -1/1 -20/11 -11/8 -15/11 -9/5 -4/3 -34/19 -29/22 -25/19 -59/33 -59/45 -25/14 -4/3 -13/10 -16/9 -13/10 -9/7 -55/31 -9/7 -39/22 -5/4 -62/35 -14/11 -5/4 -23/13 -1/1 -53/30 -6/5 -1/1 -30/17 -4/3 -7/4 -4/3 -1/1 -40/23 -4/3 -5/4 -33/19 -1/1 -26/15 -3/2 -1/1 -45/26 -3/2 -64/37 -3/2 -4/3 -19/11 -7/5 -50/29 -19/14 -4/3 -81/47 -4/3 -31/18 -4/3 -5/4 -43/25 -7/5 -98/57 -3/2 -4/3 -55/32 -7/5 -4/3 -12/7 -4/3 -53/31 -1/1 -94/55 -3/2 -4/3 -135/79 -4/3 -41/24 -4/3 -1/1 -29/17 -7/5 -46/27 -3/2 -4/3 -63/37 -7/5 -17/10 -11/8 -4/3 -56/33 -19/14 -42/31 -39/23 -23/17 -22/13 -43/32 -4/3 -27/16 -4/3 -5/3 -17/13 -33/20 -13/10 -28/17 -31/24 -9/7 -51/31 -9/7 -23/14 -4/3 -13/10 -18/11 -9/7 -31/19 -19/15 -13/8 -4/3 -9/7 -47/29 -9/7 -81/50 -9/7 -34/21 -9/7 -41/32 -89/55 -9/7 -144/89 -9/7 -55/34 -9/7 -14/11 -76/47 -23/18 -14/11 -21/13 -9/7 -50/31 -23/18 -14/11 -79/49 -37/29 -108/67 -14/11 -29/18 -14/11 -5/4 -37/23 -19/15 -8/5 -14/11 -5/4 -27/17 -5/4 -19/12 -5/4 -16/13 -49/31 -1/1 -79/50 -16/13 -27/22 -30/19 -6/5 -41/26 -6/5 -1/1 -11/7 -1/1 -25/16 -14/11 -5/4 -89/57 -1/1 -64/41 -4/3 -5/4 -39/25 -1/1 -53/34 -4/3 -1/1 -67/43 -1/1 -81/52 -4/3 -14/9 -4/3 -5/4 -17/11 -9/7 -54/35 -5/4 -37/24 -5/4 -6/5 -20/13 -5/4 -1/1 -23/15 -17/13 -3/2 -5/4 -19/13 -1/1 -54/37 -5/4 -35/24 -5/4 -16/13 -16/11 -5/4 -11/9 -29/20 -5/4 -6/5 -13/9 -1/1 -23/16 -4/3 -5/4 -79/55 -9/7 -135/94 -5/4 -56/39 -5/4 -6/5 -33/23 -1/1 -76/53 -3/2 -4/3 -119/83 -7/5 -162/113 -4/3 -43/30 -4/3 -5/4 -10/7 -4/3 -5/4 -27/19 -5/4 -17/12 -5/4 -26/21 -41/29 -21/17 -24/17 -16/13 -79/56 -38/31 -49/40 -55/39 -11/9 -31/22 -5/4 -6/5 -7/5 -11/9 -39/28 -17/14 -32/23 -5/4 -6/5 -57/41 -11/9 -82/59 -49/40 -11/9 -189/136 -11/9 -107/77 -11/9 -25/18 -28/23 -17/14 -18/13 -6/5 -29/21 -1/1 -11/8 -5/4 -6/5 -37/27 -11/9 -63/46 -5/4 -26/19 -5/4 -11/9 -67/49 -11/9 -108/79 -11/9 -41/30 -11/9 -28/23 -15/11 -11/9 -64/47 -28/23 -17/14 -113/83 -147/121 -162/119 -17/14 -49/36 -17/14 -74/61 -34/25 -17/14 -23/19 -53/39 -23/19 -72/53 -23/19 -91/67 -23/19 -19/14 -29/24 -6/5 -23/17 -59/49 -27/20 -6/5 -4/3 -6/5 -7/6 -21/16 -7/6 -38/29 -7/6 -1/1 -55/42 -8/7 -1/1 -72/55 -1/1 -17/13 -1/1 -30/23 -6/5 -13/10 -6/5 -1/1 -35/27 -1/1 -57/44 -5/4 -22/17 -6/5 -7/6 -9/7 -6/5 -32/25 -6/5 -19/16 -55/43 -13/11 -23/18 -6/5 -7/6 -37/29 -13/11 -14/11 -6/5 -7/6 -61/48 -6/5 -1/1 -108/85 -6/5 -47/37 -13/11 -33/26 -7/6 -52/41 -7/6 -22/19 -71/56 -8/7 -9/8 -90/71 -1/1 -19/15 -1/1 -24/19 -6/5 -53/42 -32/27 -13/11 -135/107 -13/11 -82/65 -13/11 -59/50 -29/23 -13/11 -5/4 -7/6 -8/7 -26/21 -7/6 -1/1 -21/17 -1/1 -37/30 -9/8 -10/9 -90/73 -1/1 -53/43 -1/1 -16/13 -11/10 -1/1 -27/22 -1/1 -11/9 -1/1 -28/23 -5/4 -1/1 -45/37 -1/1 -17/14 -4/3 -5/4 -23/19 -1/1 -52/43 -34/27 -5/4 -81/67 -5/4 -29/24 -5/4 -26/21 -6/5 -6/5 -25/21 -1/1 -44/37 -7/6 -8/7 -19/16 -6/5 -7/6 -13/11 -1/1 -20/17 -7/6 -1/1 -27/23 -1/1 -7/6 -6/5 -1/1 -22/19 -17/14 -6/5 -15/13 -13/11 -23/20 -20/17 -7/6 -54/47 -7/6 -31/27 -15/13 -8/7 -6/5 -7/6 -17/15 -13/11 -9/8 -7/6 -10/9 -7/6 -8/7 -11/10 -7/6 -8/7 -1/1 -1/1 0/1 -1/1 1/1 -1/1 10/9 -8/9 -7/8 9/8 -7/8 8/7 -7/8 -6/7 15/13 -13/15 7/6 -1/1 -6/7 13/11 -1/1 19/16 -7/8 -6/7 25/21 -1/1 6/5 -6/7 29/24 -26/31 -5/6 23/19 -1/1 17/14 -5/6 -4/5 11/9 -1/1 27/22 -1/1 16/13 -1/1 -11/12 21/17 -1/1 5/4 -8/9 -7/8 19/15 -1/1 52/41 -22/25 -7/8 33/26 -7/8 14/11 -7/8 -6/7 23/18 -7/8 -6/7 9/7 -6/7 31/24 -6/7 -5/6 53/41 -1/1 22/17 -7/8 -6/7 35/27 -1/1 13/10 -1/1 -6/7 17/13 -1/1 21/16 -7/8 4/3 -7/8 -6/7 19/14 -6/7 -29/34 34/25 -23/27 -17/20 49/36 -74/87 -17/20 15/11 -11/13 41/30 -28/33 -11/13 26/19 -11/13 -5/6 11/8 -6/7 -5/6 29/21 -1/1 18/13 -6/7 25/18 -17/20 -28/33 57/41 -11/13 32/23 -6/7 -5/6 7/5 -11/13 24/17 -16/19 17/12 -26/31 -5/6 27/19 -5/6 10/7 -5/6 -4/5 43/30 -5/6 -4/5 33/23 -1/1 56/39 -6/7 -5/6 23/16 -5/6 -4/5 13/9 -1/1 16/11 -11/13 -5/6 19/13 -1/1 22/15 -7/8 -6/7 3/2 -5/6 20/13 -1/1 -5/6 17/11 -9/11 31/20 -5/6 -4/5 14/9 -5/6 -4/5 53/34 -1/1 -4/5 39/25 -1/1 103/66 -26/31 -5/6 64/41 -5/6 -4/5 25/16 -5/6 -14/17 11/7 -1/1 30/19 -6/7 19/12 -16/19 -5/6 27/17 -5/6 8/5 -5/6 -14/17 29/18 -5/6 -14/17 50/31 -14/17 -23/28 21/13 -9/11 97/60 -5/6 -14/17 76/47 -14/17 -23/28 55/34 -14/17 -9/11 34/21 -41/50 -9/11 13/8 -9/11 -4/5 31/19 -19/23 18/11 -9/11 23/14 -13/16 -4/5 51/31 -9/11 79/48 -23/28 -32/39 28/17 -9/11 -31/38 5/3 -17/21 27/16 -4/5 22/13 -4/5 -43/54 39/23 -23/29 17/10 -4/5 -11/14 29/17 -7/9 41/24 -1/1 -4/5 53/31 -1/1 12/7 -4/5 55/32 -4/5 -7/9 43/25 -7/9 31/18 -5/6 -4/5 19/11 -7/9 64/37 -4/5 -3/4 45/26 -3/4 26/15 -1/1 -3/4 33/19 -1/1 7/4 -1/1 -4/5 23/13 -1/1 39/22 -5/6 55/31 -9/11 16/9 -9/11 -13/16 41/23 -17/21 25/14 -13/16 -4/5 9/5 -4/5 29/16 -4/5 -27/34 49/27 -61/77 20/11 -15/19 -11/14 51/28 -11/14 31/17 -1/1 11/6 -4/5 -11/14 13/7 -7/9 15/8 -3/4 2/1 -4/5 -3/4 19/9 -5/7 17/8 -7/10 -2/3 15/7 -1/1 13/6 -1/1 -4/5 24/11 -4/5 11/5 -1/1 31/14 -4/5 -11/14 20/9 -7/9 -3/4 9/4 -3/4 34/15 -3/4 -11/15 59/26 -3/4 -20/27 25/11 -11/15 16/7 -3/4 -5/7 55/24 -5/7 -2/3 39/17 -5/7 62/27 -3/4 -2/3 23/10 -3/4 -8/11 53/23 -5/7 30/13 -2/3 7/3 -5/7 40/17 -3/4 -2/3 33/14 -3/4 26/11 -5/7 -7/10 45/19 -5/7 64/27 -12/17 -7/10 19/8 -7/10 -2/3 50/21 -19/28 -2/3 81/34 -2/3 31/13 -3/5 43/18 -3/4 -2/3 98/41 -3/4 -2/3 55/23 -5/7 12/5 -2/3 53/22 -1/1 -2/3 94/39 -3/4 -2/3 135/56 -2/3 41/17 -1/1 29/12 -3/4 -2/3 46/19 -3/4 -2/3 63/26 -3/4 17/7 -5/7 56/23 -7/10 -2/3 39/16 -7/10 22/9 -11/16 -2/3 27/11 -2/3 5/2 -2/3 -1/2 33/13 -1/1 28/11 -1/1 -1/2 51/20 -3/4 23/9 -3/5 18/7 -1/1 31/12 -4/5 -3/4 13/5 -1/1 47/18 -1/1 -2/3 81/31 -1/1 34/13 -1/1 -3/4 89/34 -2/3 -1/2 144/55 -1/1 55/21 -1/1 76/29 -4/5 -3/4 21/8 -3/4 50/19 -3/4 -2/3 79/30 -7/10 -2/3 108/41 -2/3 29/11 -1/1 37/14 -2/3 -1/2 8/3 -3/4 -2/3 27/10 -2/3 19/7 -3/5 49/18 -4/7 -1/2 79/29 -1/1 30/11 -2/3 41/15 -1/1 11/4 -2/3 -1/2 25/9 -3/5 89/32 -2/3 -1/2 64/23 -4/7 -1/2 39/14 -1/2 53/19 -1/1 67/24 -1/1 -2/3 81/29 -2/3 14/5 -2/3 -1/2 17/6 -2/3 -1/2 54/19 -1/2 37/13 -1/3 20/7 -1/1 -1/2 23/8 0/1 1/0 3/1 -1/1 19/6 -4/5 -3/4 54/17 -3/4 35/11 -5/7 16/5 -1/1 -3/4 29/9 -5/7 13/4 -1/1 -2/3 23/7 -7/9 79/24 -22/29 -3/4 135/41 -3/4 56/17 -3/4 -14/19 33/10 -3/4 76/23 -3/4 -2/3 119/36 -7/10 -2/3 162/49 -2/3 43/13 -1/1 10/3 -3/4 -2/3 27/8 -2/3 17/5 -1/1 41/12 -1/1 -2/3 24/7 -2/3 79/23 -1/1 55/16 -1/1 -4/5 31/9 -1/1 7/2 -1/1 -2/3 39/11 -5/7 32/9 -2/3 -5/8 57/16 -1/2 82/23 -1/1 1/0 189/53 -1/1 107/30 -1/1 -6/7 25/7 -1/1 18/5 -2/3 29/8 -4/7 -1/2 11/3 -1/1 37/10 -3/4 -2/3 63/17 -1/1 26/7 -1/1 -3/4 67/18 -1/1 0/1 108/29 -1/1 41/11 -1/1 15/4 -3/4 64/17 -4/5 -3/4 113/30 -22/29 -3/4 162/43 -3/4 49/13 -17/23 34/9 -13/18 -5/7 53/14 -5/7 -2/3 72/19 -5/7 91/24 -17/24 -12/17 19/5 -5/7 23/6 -11/16 -2/3 27/7 -2/3 4/1 -2/3 -1/2 21/5 -3/5 38/9 -3/5 -7/12 55/13 -3/5 72/17 -3/5 17/4 -4/7 -1/2 30/7 -2/3 13/3 -3/5 35/8 -4/7 -1/2 57/13 -3/5 22/5 -4/7 -1/2 9/2 -1/2 32/7 -1/2 -2/5 55/12 -2/5 -1/3 23/5 -1/3 37/8 -1/2 0/1 14/3 -1/2 0/1 61/13 -1/3 108/23 0/1 47/10 -1/1 0/1 33/7 -1/1 52/11 -1/2 0/1 71/15 -1/1 90/19 -1/1 19/4 -2/3 -1/2 24/5 0/1 53/11 -1/1 135/28 -1/1 82/17 -1/1 -9/10 29/6 -3/4 -2/3 5/1 -1/3 26/5 -1/1 -3/4 21/4 -1/2 37/7 -1/1 90/17 -1/1 53/10 -1/1 -2/3 16/3 -1/1 -1/2 27/5 -1/2 11/2 -1/2 0/1 28/5 -1/1 -1/2 45/8 -1/2 17/3 -1/1 23/4 -1/2 0/1 52/9 -2/3 -1/2 81/14 -1/2 29/5 -1/3 6/1 0/1 25/4 -4/1 1/0 44/7 -2/1 1/0 19/3 -1/1 13/2 -2/1 -1/1 20/3 -7/6 -1/1 27/4 -1/1 7/1 -1/1 22/3 -3/4 -2/3 15/2 -1/2 23/3 -3/5 54/7 -1/2 31/4 -1/2 -2/5 8/1 -1/2 0/1 17/2 0/1 1/0 9/1 -1/1 10/1 -1/2 0/1 11/1 -1/1 1/0 -1/1 0/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(55,648,-32,-377) (-10/1,1/0) -> (-98/57,-55/32) Hyperbolic Matrix(109,1026,46,433) (-10/1,-9/1) -> (45/19,64/27) Hyperbolic Matrix(109,918,-64,-539) (-9/1,-8/1) -> (-46/27,-63/37) Hyperbolic Matrix(163,1242,-92,-701) (-8/1,-15/2) -> (-39/22,-62/35) Hyperbolic Matrix(53,378,-38,-271) (-15/2,-7/1) -> (-7/5,-39/28) Hyperbolic Matrix(107,702,-66,-433) (-7/1,-13/2) -> (-13/8,-47/29) Hyperbolic Matrix(109,702,84,541) (-13/2,-19/3) -> (35/27,13/10) Hyperbolic Matrix(431,2700,-276,-1729) (-19/3,-25/4) -> (-25/16,-89/57) Hyperbolic Matrix(53,324,44,269) (-25/4,-6/1) -> (6/5,29/24) Hyperbolic Matrix(55,324,46,271) (-6/1,-29/5) -> (25/21,6/5) Hyperbolic Matrix(431,2484,-300,-1729) (-29/5,-23/4) -> (-23/16,-79/55) Hyperbolic Matrix(161,918,104,593) (-23/4,-17/3) -> (17/11,31/20) Hyperbolic Matrix(107,594,-78,-433) (-17/3,-11/2) -> (-11/8,-37/27) Hyperbolic Matrix(109,594,20,109) (-11/2,-27/5) -> (27/5,11/2) Hyperbolic Matrix(161,864,30,161) (-27/5,-16/3) -> (16/3,27/5) Hyperbolic Matrix(215,1134,-164,-865) (-16/3,-21/4) -> (-21/16,-38/29) Hyperbolic Matrix(53,270,-32,-163) (-21/4,-5/1) -> (-5/3,-33/20) Hyperbolic Matrix(215,1026,-136,-649) (-5/1,-19/4) -> (-19/12,-49/31) Hyperbolic Matrix(217,1026,-114,-539) (-19/4,-52/11) -> (-2/1,-19/10) Hyperbolic Matrix(755,3564,526,2483) (-52/11,-33/7) -> (33/23,56/39) Hyperbolic Matrix(379,1782,-218,-1025) (-33/7,-14/3) -> (-40/23,-33/19) Hyperbolic Matrix(163,756,-58,-269) (-14/3,-23/5) -> (-31/11,-14/5) Hyperbolic Matrix(107,486,-24,-109) (-23/5,-9/2) -> (-9/2,-31/7) Parabolic Matrix(757,3348,220,973) (-31/7,-53/12) -> (55/16,31/9) Hyperbolic Matrix(1187,5238,734,3239) (-53/12,-22/5) -> (76/47,55/34) Hyperbolic Matrix(271,1188,-86,-377) (-22/5,-35/8) -> (-19/6,-22/7) Hyperbolic Matrix(161,702,136,593) (-35/8,-13/3) -> (13/11,19/16) Hyperbolic Matrix(215,918,-152,-649) (-13/3,-17/4) -> (-17/12,-41/29) Hyperbolic Matrix(269,1134,-218,-919) (-17/4,-21/5) -> (-21/17,-37/30) Hyperbolic Matrix(271,1134,168,703) (-21/5,-4/1) -> (50/31,21/13) Hyperbolic Matrix(269,1026,-156,-595) (-4/1,-19/5) -> (-19/11,-50/29) Hyperbolic Matrix(971,3672,-600,-2269) (-19/5,-34/9) -> (-34/21,-89/55) Hyperbolic Matrix(701,2646,386,1457) (-34/9,-49/13) -> (49/27,20/11) Hyperbolic Matrix(919,3456,-330,-1241) (-49/13,-15/4) -> (-39/14,-103/37) Hyperbolic Matrix(217,810,116,433) (-15/4,-41/11) -> (13/7,15/8) Hyperbolic Matrix(755,2808,-552,-2053) (-41/11,-26/7) -> (-26/19,-67/49) Hyperbolic Matrix(161,594,-132,-487) (-26/7,-11/3) -> (-11/9,-28/23) Hyperbolic Matrix(163,594,104,379) (-11/3,-29/8) -> (25/16,11/7) Hyperbolic Matrix(269,972,194,701) (-29/8,-18/5) -> (18/13,25/18) Hyperbolic Matrix(271,972,196,703) (-18/5,-25/7) -> (29/21,18/13) Hyperbolic Matrix(1621,5778,-636,-2267) (-25/7,-57/16) -> (-51/20,-79/31) Hyperbolic Matrix(379,1350,258,919) (-57/16,-32/9) -> (22/15,3/2) Hyperbolic Matrix(107,378,-92,-325) (-32/9,-7/2) -> (-7/6,-22/19) Hyperbolic Matrix(109,378,-62,-215) (-7/2,-24/7) -> (-30/17,-7/4) Hyperbolic Matrix(269,918,-206,-703) (-24/7,-17/5) -> (-17/13,-30/23) Hyperbolic Matrix(271,918,80,271) (-17/5,-27/8) -> (27/8,17/5) Hyperbolic Matrix(161,540,48,161) (-27/8,-10/3) -> (10/3,27/8) Hyperbolic Matrix(1403,4644,-816,-2701) (-10/3,-43/13) -> (-43/25,-98/57) Hyperbolic Matrix(1243,4104,-474,-1565) (-43/13,-33/10) -> (-21/8,-97/37) Hyperbolic Matrix(1081,3564,852,2809) (-33/10,-56/17) -> (52/41,33/26) Hyperbolic Matrix(755,2484,-624,-2053) (-56/17,-23/7) -> (-23/19,-52/43) Hyperbolic Matrix(215,702,132,431) (-23/7,-13/4) -> (13/8,31/19) Hyperbolic Matrix(269,864,-118,-379) (-13/4,-16/5) -> (-16/7,-41/18) Hyperbolic Matrix(271,864,-186,-593) (-16/5,-19/6) -> (-35/24,-16/11) Hyperbolic Matrix(431,1350,310,971) (-22/7,-3/1) -> (57/41,32/23) Hyperbolic Matrix(377,1080,-170,-487) (-3/1,-20/7) -> (-20/9,-51/23) Hyperbolic Matrix(379,1080,-246,-701) (-20/7,-17/6) -> (-37/24,-20/13) Hyperbolic Matrix(325,918,268,757) (-17/6,-31/11) -> (23/19,17/14) Hyperbolic Matrix(2051,5724,-1200,-3349) (-14/5,-53/19) -> (-53/31,-94/55) Hyperbolic Matrix(1511,4212,852,2375) (-53/19,-39/14) -> (39/22,55/31) Hyperbolic Matrix(4967,13824,-3648,-10153) (-103/37,-64/23) -> (-64/47,-113/83) Hyperbolic Matrix(971,2700,-816,-2269) (-64/23,-25/9) -> (-25/21,-44/37) Hyperbolic Matrix(215,594,156,431) (-25/9,-11/4) -> (11/8,29/21) Hyperbolic Matrix(217,594,-118,-323) (-11/4,-30/11) -> (-24/13,-11/6) Hyperbolic Matrix(377,1026,-298,-811) (-30/11,-19/7) -> (-19/15,-24/19) Hyperbolic Matrix(379,1026,140,379) (-19/7,-27/10) -> (27/10,19/7) Hyperbolic Matrix(161,432,60,161) (-27/10,-8/3) -> (8/3,27/10) Hyperbolic Matrix(593,1566,-348,-919) (-8/3,-29/11) -> (-29/17,-46/27) Hyperbolic Matrix(2051,5400,-1272,-3349) (-29/11,-50/19) -> (-50/31,-79/49) Hyperbolic Matrix(431,1134,328,863) (-50/19,-21/8) -> (21/16,4/3) Hyperbolic Matrix(6263,16416,-4368,-11449) (-97/37,-76/29) -> (-76/53,-119/83) Hyperbolic Matrix(1999,5238,1546,4051) (-76/29,-55/21) -> (53/41,22/17) Hyperbolic Matrix(1403,3672,-1032,-2701) (-55/21,-34/13) -> (-34/25,-53/39) Hyperbolic Matrix(269,702,-228,-595) (-34/13,-13/5) -> (-13/11,-20/17) Hyperbolic Matrix(271,702,188,487) (-13/5,-31/12) -> (23/16,13/9) Hyperbolic Matrix(377,972,230,593) (-31/12,-18/7) -> (18/11,23/14) Hyperbolic Matrix(379,972,232,595) (-18/7,-23/9) -> (31/19,18/11) Hyperbolic Matrix(1079,2754,592,1511) (-23/9,-51/20) -> (51/28,31/17) Hyperbolic Matrix(2861,7290,-2268,-5779) (-79/31,-28/11) -> (-82/65,-29/23) Hyperbolic Matrix(107,270,-86,-217) (-28/11,-5/2) -> (-5/4,-26/21) Hyperbolic Matrix(109,270,44,109) (-5/2,-27/11) -> (27/11,5/2) Hyperbolic Matrix(485,1188,198,485) (-27/11,-22/9) -> (22/9,27/11) Hyperbolic Matrix(863,2106,-620,-1513) (-22/9,-39/16) -> (-39/28,-32/23) Hyperbolic Matrix(377,918,-200,-487) (-39/16,-17/7) -> (-17/9,-15/8) Hyperbolic Matrix(647,1566,-402,-973) (-17/7,-29/12) -> (-29/18,-37/23) Hyperbolic Matrix(917,2214,514,1241) (-29/12,-41/17) -> (41/23,25/14) Hyperbolic Matrix(2375,5724,-1524,-3673) (-41/17,-53/22) -> (-53/34,-67/43) Hyperbolic Matrix(539,1296,314,755) (-53/22,-12/5) -> (12/7,55/32) Hyperbolic Matrix(541,1296,316,757) (-12/5,-55/23) -> (53/31,12/7) Hyperbolic Matrix(271,648,-248,-593) (-55/23,-43/18) -> (-11/10,-1/1) Hyperbolic Matrix(701,1674,384,917) (-43/18,-31/13) -> (31/17,11/6) Hyperbolic Matrix(431,1026,-318,-757) (-31/13,-19/8) -> (-19/14,-23/17) Hyperbolic Matrix(865,2052,-728,-1727) (-19/8,-64/27) -> (-44/37,-19/16) Hyperbolic Matrix(433,1026,46,109) (-64/27,-45/19) -> (9/1,10/1) Hyperbolic Matrix(1027,2430,-844,-1997) (-45/19,-26/11) -> (-28/23,-45/37) Hyperbolic Matrix(755,1782,-458,-1081) (-26/11,-33/14) -> (-33/20,-28/17) Hyperbolic Matrix(757,1782,-596,-1403) (-33/14,-7/3) -> (-47/37,-33/26) Hyperbolic Matrix(163,378,-116,-269) (-7/3,-23/10) -> (-31/22,-7/5) Hyperbolic Matrix(541,1242,-470,-1079) (-23/10,-39/17) -> (-15/13,-23/20) Hyperbolic Matrix(1837,4212,1178,2701) (-39/17,-55/24) -> (53/34,39/25) Hyperbolic Matrix(1297,2970,-990,-2267) (-55/24,-16/7) -> (-38/29,-55/42) Hyperbolic Matrix(973,2214,570,1297) (-41/18,-25/11) -> (29/17,41/24) Hyperbolic Matrix(215,486,-96,-217) (-25/11,-9/4) -> (-9/4,-29/13) Parabolic Matrix(2375,5292,872,1943) (-29/13,-49/22) -> (49/18,79/29) Hyperbolic Matrix(1189,2646,874,1945) (-49/22,-20/9) -> (34/25,49/36) Hyperbolic Matrix(1243,2754,756,1675) (-51/23,-31/14) -> (23/14,51/31) Hyperbolic Matrix(757,1674,440,973) (-31/14,-11/5) -> (43/25,31/18) Hyperbolic Matrix(271,594,-172,-377) (-11/5,-13/6) -> (-41/26,-11/7) Hyperbolic Matrix(377,810,276,593) (-13/6,-15/7) -> (15/11,41/30) Hyperbolic Matrix(431,918,-254,-541) (-15/7,-2/1) -> (-56/33,-39/23) Hyperbolic Matrix(1081,2052,-796,-1511) (-19/10,-17/9) -> (-91/67,-19/14) Hyperbolic Matrix(433,810,116,217) (-15/8,-13/7) -> (41/11,15/4) Hyperbolic Matrix(379,702,88,163) (-13/7,-24/13) -> (30/7,13/3) Hyperbolic Matrix(917,1674,384,701) (-11/6,-31/17) -> (31/13,43/18) Hyperbolic Matrix(593,1080,-386,-703) (-31/17,-20/11) -> (-20/13,-23/15) Hyperbolic Matrix(269,486,-150,-271) (-20/11,-9/5) -> (-9/5,-34/19) Parabolic Matrix(2053,3672,544,973) (-34/19,-59/33) -> (49/13,34/9) Hyperbolic Matrix(1027,1836,212,379) (-59/33,-25/14) -> (29/6,5/1) Hyperbolic Matrix(485,864,-334,-595) (-25/14,-16/9) -> (-16/11,-29/20) Hyperbolic Matrix(973,1728,-790,-1403) (-16/9,-55/31) -> (-53/43,-16/13) Hyperbolic Matrix(2375,4212,852,1511) (-55/31,-39/22) -> (39/14,53/19) Hyperbolic Matrix(1189,2106,-1036,-1835) (-62/35,-23/13) -> (-31/27,-8/7) Hyperbolic Matrix(1405,2484,306,541) (-23/13,-53/30) -> (55/12,23/5) Hyperbolic Matrix(1621,2862,-1284,-2267) (-53/30,-30/17) -> (-24/19,-53/42) Hyperbolic Matrix(1459,2538,-1148,-1997) (-7/4,-40/23) -> (-14/11,-61/48) Hyperbolic Matrix(809,1404,-654,-1135) (-33/19,-26/15) -> (-26/21,-21/17) Hyperbolic Matrix(1621,2808,-1184,-2051) (-26/15,-45/26) -> (-63/46,-26/19) Hyperbolic Matrix(593,1026,530,917) (-45/26,-64/37) -> (10/9,9/8) Hyperbolic Matrix(3997,6912,-2560,-4427) (-64/37,-19/11) -> (-89/57,-64/41) Hyperbolic Matrix(971,1674,250,431) (-50/29,-81/47) -> (27/7,4/1) Hyperbolic Matrix(1567,2700,408,703) (-81/47,-31/18) -> (23/6,27/7) Hyperbolic Matrix(973,1674,440,757) (-31/18,-43/25) -> (11/5,31/14) Hyperbolic Matrix(755,1296,314,539) (-55/32,-12/7) -> (12/5,53/22) Hyperbolic Matrix(757,1296,316,541) (-12/7,-53/31) -> (55/23,12/5) Hyperbolic Matrix(5561,9504,1990,3401) (-94/55,-135/79) -> (81/29,14/5) Hyperbolic Matrix(7237,12366,2592,4429) (-135/79,-41/24) -> (67/24,81/29) Hyperbolic Matrix(917,1566,284,485) (-41/24,-29/17) -> (29/9,13/4) Hyperbolic Matrix(1999,3402,540,919) (-63/37,-17/10) -> (37/10,63/17) Hyperbolic Matrix(2863,4860,-2258,-3833) (-17/10,-56/33) -> (-52/41,-71/56) Hyperbolic Matrix(701,1188,-606,-1027) (-39/23,-22/13) -> (-22/19,-15/13) Hyperbolic Matrix(703,1188,416,703) (-22/13,-27/16) -> (27/16,22/13) Hyperbolic Matrix(161,270,96,161) (-27/16,-5/3) -> (5/3,27/16) Hyperbolic Matrix(3511,5778,-2526,-4157) (-28/17,-51/31) -> (-57/41,-82/59) Hyperbolic Matrix(755,1242,262,431) (-51/31,-23/14) -> (23/8,3/1) Hyperbolic Matrix(593,972,230,377) (-23/14,-18/11) -> (18/7,31/12) Hyperbolic Matrix(595,972,232,379) (-18/11,-31/19) -> (23/9,18/7) Hyperbolic Matrix(431,702,132,215) (-31/19,-13/8) -> (13/4,23/7) Hyperbolic Matrix(1133,1836,166,269) (-47/29,-81/50) -> (27/4,7/1) Hyperbolic Matrix(1567,2538,234,379) (-81/50,-34/21) -> (20/3,27/4) Hyperbolic Matrix(6641,10746,-5240,-8479) (-89/55,-144/89) -> (-90/71,-19/15) Hyperbolic Matrix(7343,11880,-5608,-9073) (-144/89,-55/34) -> (-55/42,-72/55) Hyperbolic Matrix(3673,5940,802,1297) (-55/34,-76/47) -> (32/7,55/12) Hyperbolic Matrix(2539,4104,-1770,-2861) (-76/47,-21/13) -> (-33/23,-76/53) Hyperbolic Matrix(703,1134,168,271) (-21/13,-50/31) -> (4/1,21/5) Hyperbolic Matrix(7235,11664,2746,4427) (-79/49,-108/67) -> (108/41,29/11) Hyperbolic Matrix(7237,11664,2748,4429) (-108/67,-29/18) -> (79/30,108/41) Hyperbolic Matrix(269,432,-236,-379) (-37/23,-8/5) -> (-8/7,-17/15) Hyperbolic Matrix(271,432,170,271) (-8/5,-27/17) -> (27/17,8/5) Hyperbolic Matrix(647,1026,408,647) (-27/17,-19/12) -> (19/12,27/17) Hyperbolic Matrix(3349,5292,1846,2917) (-49/31,-79/50) -> (29/16,49/27) Hyperbolic Matrix(2701,4266,-1914,-3023) (-79/50,-30/19) -> (-24/17,-79/56) Hyperbolic Matrix(1403,2214,410,647) (-30/19,-41/26) -> (41/12,24/7) Hyperbolic Matrix(379,594,104,163) (-11/7,-25/16) -> (29/8,11/3) Hyperbolic Matrix(2215,3456,-1626,-2537) (-64/41,-39/25) -> (-15/11,-64/47) Hyperbolic Matrix(2701,4212,1178,1837) (-39/25,-53/34) -> (55/24,39/17) Hyperbolic Matrix(7937,12366,3292,5129) (-67/43,-81/52) -> (135/56,41/17) Hyperbolic Matrix(6103,9504,2532,3943) (-81/52,-14/9) -> (94/39,135/56) Hyperbolic Matrix(487,756,-382,-593) (-14/9,-17/11) -> (-37/29,-14/11) Hyperbolic Matrix(1889,2916,664,1025) (-17/11,-54/35) -> (54/19,37/13) Hyperbolic Matrix(1891,2916,666,1027) (-54/35,-37/24) -> (17/6,54/19) Hyperbolic Matrix(811,1242,318,487) (-23/15,-3/2) -> (51/20,23/9) Hyperbolic Matrix(811,1188,-626,-917) (-3/2,-19/13) -> (-35/27,-57/44) Hyperbolic Matrix(1997,2916,628,917) (-19/13,-54/37) -> (54/17,35/11) Hyperbolic Matrix(1999,2916,630,919) (-54/37,-35/24) -> (19/6,54/17) Hyperbolic Matrix(1081,1566,448,649) (-29/20,-13/9) -> (41/17,29/12) Hyperbolic Matrix(487,702,188,271) (-13/9,-23/16) -> (31/12,13/5) Hyperbolic Matrix(7181,10314,1240,1781) (-79/55,-135/94) -> (81/14,29/5) Hyperbolic Matrix(8047,11556,1392,1999) (-135/94,-56/39) -> (52/9,81/14) Hyperbolic Matrix(2483,3564,526,755) (-56/39,-33/23) -> (33/7,52/11) Hyperbolic Matrix(18305,26244,5536,7937) (-119/83,-162/113) -> (162/49,43/13) Hyperbolic Matrix(18307,26244,5538,7939) (-162/113,-43/30) -> (119/36,162/49) Hyperbolic Matrix(377,540,-340,-487) (-43/30,-10/7) -> (-10/9,-11/10) Hyperbolic Matrix(379,540,266,379) (-10/7,-27/19) -> (27/19,10/7) Hyperbolic Matrix(647,918,456,647) (-27/19,-17/12) -> (17/12,27/19) Hyperbolic Matrix(1567,2214,574,811) (-41/29,-24/17) -> (30/11,41/15) Hyperbolic Matrix(6967,9828,-5014,-7073) (-79/56,-55/39) -> (-107/77,-25/18) Hyperbolic Matrix(2375,3348,1838,2591) (-55/39,-31/22) -> (31/24,53/41) Hyperbolic Matrix(2213,3078,504,701) (-32/23,-57/41) -> (57/13,22/5) Hyperbolic Matrix(19117,26568,3964,5509) (-82/59,-189/136) -> (135/28,82/17) Hyperbolic Matrix(17603,24462,3652,5075) (-189/136,-107/77) -> (53/11,135/28) Hyperbolic Matrix(701,972,194,269) (-25/18,-18/13) -> (18/5,29/8) Hyperbolic Matrix(703,972,196,271) (-18/13,-29/21) -> (25/7,18/5) Hyperbolic Matrix(431,594,156,215) (-29/21,-11/8) -> (11/4,25/9) Hyperbolic Matrix(2483,3402,1024,1403) (-37/27,-63/46) -> (63/26,17/7) Hyperbolic Matrix(8531,11664,2290,3131) (-67/49,-108/79) -> (108/29,41/11) Hyperbolic Matrix(8533,11664,2292,3133) (-108/79,-41/30) -> (67/18,108/29) Hyperbolic Matrix(593,810,276,377) (-41/30,-15/11) -> (15/7,13/6) Hyperbolic Matrix(19277,26244,5116,6965) (-113/83,-162/119) -> (162/43,49/13) Hyperbolic Matrix(19279,26244,5118,6967) (-162/119,-49/36) -> (113/30,162/43) Hyperbolic Matrix(2699,3672,1190,1619) (-49/36,-34/25) -> (34/15,59/26) Hyperbolic Matrix(6319,8586,-5126,-6965) (-53/39,-72/53) -> (-90/73,-53/43) Hyperbolic Matrix(7991,10854,1510,2051) (-72/53,-91/67) -> (37/7,90/17) Hyperbolic Matrix(1997,2700,838,1133) (-23/17,-27/20) -> (81/34,31/13) Hyperbolic Matrix(1243,1674,522,703) (-27/20,-4/3) -> (50/21,81/34) Hyperbolic Matrix(863,1134,328,431) (-4/3,-21/16) -> (21/8,50/19) Hyperbolic Matrix(5075,6642,1072,1403) (-72/55,-17/13) -> (71/15,90/19) Hyperbolic Matrix(539,702,248,323) (-30/23,-13/10) -> (13/6,24/11) Hyperbolic Matrix(541,702,84,109) (-13/10,-35/27) -> (19/3,13/2) Hyperbolic Matrix(2377,3078,668,865) (-57/44,-22/17) -> (32/9,57/16) Hyperbolic Matrix(377,486,-294,-379) (-22/17,-9/7) -> (-9/7,-32/25) Parabolic Matrix(4643,5940,1772,2267) (-32/25,-55/43) -> (55/21,76/29) Hyperbolic Matrix(1943,2484,844,1079) (-55/43,-23/18) -> (23/10,53/23) Hyperbolic Matrix(973,1242,170,217) (-23/18,-37/29) -> (17/3,23/4) Hyperbolic Matrix(9179,11664,1954,2483) (-61/48,-108/85) -> (108/23,47/10) Hyperbolic Matrix(9181,11664,1956,2485) (-108/85,-47/37) -> (61/13,108/23) Hyperbolic Matrix(2809,3564,852,1081) (-33/26,-52/41) -> (56/17,33/10) Hyperbolic Matrix(5239,6642,1236,1567) (-71/56,-90/71) -> (72/17,17/4) Hyperbolic Matrix(19387,24462,5436,6859) (-53/42,-135/107) -> (189/53,107/30) Hyperbolic Matrix(21059,26568,5906,7451) (-135/107,-82/65) -> (82/23,189/53) Hyperbolic Matrix(1457,1836,642,809) (-29/23,-5/4) -> (59/26,25/11) Hyperbolic Matrix(8803,10854,2322,2863) (-37/30,-90/73) -> (72/19,91/24) Hyperbolic Matrix(703,864,572,703) (-16/13,-27/22) -> (27/22,16/13) Hyperbolic Matrix(485,594,396,485) (-27/22,-11/9) -> (11/9,27/22) Hyperbolic Matrix(755,918,88,107) (-45/37,-17/14) -> (17/2,9/1) Hyperbolic Matrix(1025,1242,222,269) (-17/14,-23/19) -> (23/5,37/8) Hyperbolic Matrix(9557,11556,2902,3509) (-52/43,-81/67) -> (135/41,56/17) Hyperbolic Matrix(8533,10314,2592,3133) (-81/67,-29/24) -> (79/24,135/41) Hyperbolic Matrix(269,324,44,53) (-29/24,-6/5) -> (6/1,25/4) Hyperbolic Matrix(271,324,46,55) (-6/5,-25/21) -> (29/5,6/1) Hyperbolic Matrix(593,702,136,161) (-19/16,-13/11) -> (13/3,35/8) Hyperbolic Matrix(2159,2538,826,971) (-20/17,-27/23) -> (81/31,34/13) Hyperbolic Matrix(1567,1836,600,703) (-27/23,-7/6) -> (47/18,81/31) Hyperbolic Matrix(2537,2916,328,377) (-23/20,-54/47) -> (54/7,31/4) Hyperbolic Matrix(2539,2916,330,379) (-54/47,-31/27) -> (23/3,54/7) Hyperbolic Matrix(811,918,144,163) (-17/15,-9/8) -> (45/8,17/3) Hyperbolic Matrix(917,1026,530,593) (-9/8,-10/9) -> (64/37,45/26) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(593,-648,248,-271) (1/1,10/9) -> (98/41,55/23) Hyperbolic Matrix(809,-918,334,-379) (9/8,8/7) -> (46/19,63/26) Hyperbolic Matrix(1079,-1242,470,-541) (8/7,15/13) -> (39/17,62/27) Hyperbolic Matrix(325,-378,92,-107) (15/13,7/6) -> (7/2,39/11) Hyperbolic Matrix(595,-702,228,-269) (7/6,13/11) -> (13/5,47/18) Hyperbolic Matrix(2269,-2700,816,-971) (19/16,25/21) -> (25/9,89/32) Hyperbolic Matrix(2053,-2484,624,-755) (29/24,23/19) -> (23/7,79/24) Hyperbolic Matrix(487,-594,132,-161) (17/14,11/9) -> (11/3,37/10) Hyperbolic Matrix(919,-1134,218,-269) (16/13,21/17) -> (21/5,38/9) Hyperbolic Matrix(217,-270,86,-107) (21/17,5/4) -> (5/2,33/13) Hyperbolic Matrix(811,-1026,298,-377) (5/4,19/15) -> (19/7,49/18) Hyperbolic Matrix(809,-1026,384,-487) (19/15,52/41) -> (2/1,19/9) Hyperbolic Matrix(1403,-1782,596,-757) (33/26,14/11) -> (40/17,33/14) Hyperbolic Matrix(593,-756,382,-487) (14/11,23/18) -> (31/20,14/9) Hyperbolic Matrix(379,-486,294,-377) (23/18,9/7) -> (9/7,31/24) Parabolic Matrix(917,-1188,626,-811) (22/17,35/27) -> (19/13,22/15) Hyperbolic Matrix(703,-918,206,-269) (13/10,17/13) -> (17/5,41/12) Hyperbolic Matrix(865,-1134,164,-215) (17/13,21/16) -> (21/4,37/7) Hyperbolic Matrix(757,-1026,318,-431) (4/3,19/14) -> (19/8,50/21) Hyperbolic Matrix(2701,-3672,1032,-1403) (19/14,34/25) -> (34/13,89/34) Hyperbolic Matrix(2537,-3456,1626,-2215) (49/36,15/11) -> (39/25,103/66) Hyperbolic Matrix(2053,-2808,552,-755) (41/30,26/19) -> (26/7,67/18) Hyperbolic Matrix(433,-594,78,-107) (26/19,11/8) -> (11/2,28/5) Hyperbolic Matrix(4157,-5778,2526,-3511) (25/18,57/41) -> (51/31,79/48) Hyperbolic Matrix(271,-378,38,-53) (32/23,7/5) -> (7/1,22/3) Hyperbolic Matrix(269,-378,116,-163) (7/5,24/17) -> (30/13,7/3) Hyperbolic Matrix(649,-918,152,-215) (24/17,17/12) -> (17/4,30/7) Hyperbolic Matrix(3241,-4644,1356,-1943) (10/7,43/30) -> (43/18,98/41) Hyperbolic Matrix(2861,-4104,1770,-2539) (43/30,33/23) -> (21/13,97/60) Hyperbolic Matrix(1729,-2484,300,-431) (56/39,23/16) -> (23/4,52/9) Hyperbolic Matrix(595,-864,334,-485) (13/9,16/11) -> (16/9,41/23) Hyperbolic Matrix(593,-864,186,-271) (16/11,19/13) -> (35/11,16/5) Hyperbolic Matrix(703,-1080,386,-593) (3/2,20/13) -> (20/11,51/28) Hyperbolic Matrix(701,-1080,246,-379) (20/13,17/11) -> (37/13,20/7) Hyperbolic Matrix(3673,-5724,1524,-2375) (14/9,53/34) -> (53/22,94/39) Hyperbolic Matrix(8857,-13824,2352,-3671) (103/66,64/41) -> (64/17,113/30) Hyperbolic Matrix(1729,-2700,276,-431) (64/41,25/16) -> (25/4,44/7) Hyperbolic Matrix(377,-594,172,-271) (11/7,30/19) -> (24/11,11/5) Hyperbolic Matrix(649,-1026,136,-215) (30/19,19/12) -> (19/4,24/5) Hyperbolic Matrix(973,-1566,402,-647) (8/5,29/18) -> (29/12,46/19) Hyperbolic Matrix(3349,-5400,1272,-2051) (29/18,50/31) -> (50/19,79/30) Hyperbolic Matrix(10153,-16416,3072,-4967) (97/60,76/47) -> (76/23,119/36) Hyperbolic Matrix(2269,-3672,600,-971) (55/34,34/21) -> (34/9,53/14) Hyperbolic Matrix(433,-702,66,-107) (34/21,13/8) -> (13/2,20/3) Hyperbolic Matrix(4429,-7290,918,-1511) (79/48,28/17) -> (82/17,29/6) Hyperbolic Matrix(163,-270,32,-53) (28/17,5/3) -> (5/1,26/5) Hyperbolic Matrix(1243,-2106,350,-593) (22/13,39/23) -> (39/11,32/9) Hyperbolic Matrix(541,-918,254,-431) (39/23,17/10) -> (17/8,15/7) Hyperbolic Matrix(919,-1566,348,-593) (17/10,29/17) -> (29/11,37/14) Hyperbolic Matrix(3349,-5724,1200,-2051) (41/24,53/31) -> (53/19,67/24) Hyperbolic Matrix(377,-648,32,-55) (55/32,43/25) -> (11/1,1/0) Hyperbolic Matrix(595,-1026,156,-269) (31/18,19/11) -> (19/5,23/6) Hyperbolic Matrix(1187,-2052,188,-325) (19/11,64/37) -> (44/7,19/3) Hyperbolic Matrix(1403,-2430,250,-433) (45/26,26/15) -> (28/5,45/8) Hyperbolic Matrix(1027,-1782,404,-701) (26/15,33/19) -> (33/13,28/11) Hyperbolic Matrix(1025,-1782,218,-379) (33/19,7/4) -> (47/10,33/7) Hyperbolic Matrix(215,-378,62,-109) (7/4,23/13) -> (31/9,7/2) Hyperbolic Matrix(701,-1242,92,-163) (23/13,39/22) -> (15/2,23/3) Hyperbolic Matrix(1673,-2970,396,-703) (55/31,16/9) -> (38/9,55/13) Hyperbolic Matrix(271,-486,150,-269) (25/14,9/5) -> (9/5,29/16) Parabolic Matrix(323,-594,118,-217) (11/6,13/7) -> (41/15,11/4) Hyperbolic Matrix(487,-918,200,-377) (15/8,2/1) -> (56/23,39/16) Hyperbolic Matrix(971,-2052,256,-541) (19/9,17/8) -> (91/24,19/5) Hyperbolic Matrix(487,-1080,170,-377) (31/14,20/9) -> (20/7,23/8) Hyperbolic Matrix(217,-486,96,-215) (20/9,9/4) -> (9/4,34/15) Parabolic Matrix(379,-864,118,-269) (25/11,16/7) -> (16/5,29/9) Hyperbolic Matrix(755,-1728,142,-325) (16/7,55/24) -> (53/10,16/3) Hyperbolic Matrix(917,-2106,118,-271) (62/27,23/10) -> (31/4,8/1) Hyperbolic Matrix(1241,-2862,258,-595) (53/23,30/13) -> (24/5,53/11) Hyperbolic Matrix(1079,-2538,230,-541) (7/3,40/17) -> (14/3,61/13) Hyperbolic Matrix(595,-1404,114,-269) (33/14,26/11) -> (26/5,21/4) Hyperbolic Matrix(1187,-2808,320,-757) (26/11,45/19) -> (63/17,26/7) Hyperbolic Matrix(2915,-6912,1048,-2485) (64/27,19/8) -> (89/32,64/23) Hyperbolic Matrix(1997,-4860,422,-1027) (17/7,56/23) -> (52/11,71/15) Hyperbolic Matrix(487,-1188,66,-161) (39/16,22/9) -> (22/3,15/2) Hyperbolic Matrix(2267,-5778,636,-1621) (28/11,51/20) -> (57/16,82/23) Hyperbolic Matrix(4105,-10746,866,-2267) (89/34,144/55) -> (90/19,19/4) Hyperbolic Matrix(4537,-11880,1072,-2807) (144/55,55/21) -> (55/13,72/17) Hyperbolic Matrix(1565,-4104,474,-1243) (76/29,21/8) -> (33/10,76/23) Hyperbolic Matrix(163,-432,20,-53) (37/14,8/3) -> (8/1,17/2) Hyperbolic Matrix(1565,-4266,456,-1243) (79/29,30/11) -> (24/7,79/23) Hyperbolic Matrix(1241,-3456,330,-919) (64/23,39/14) -> (15/4,64/17) Hyperbolic Matrix(269,-756,58,-163) (14/5,17/6) -> (37/8,14/3) Hyperbolic Matrix(377,-1188,86,-271) (3/1,19/6) -> (35/8,57/13) Hyperbolic Matrix(163,-540,16,-53) (43/13,10/3) -> (10/1,11/1) Hyperbolic Matrix(2861,-9828,802,-2755) (79/23,55/16) -> (107/30,25/7) Hyperbolic Matrix(2267,-8586,428,-1621) (53/14,72/19) -> (90/17,53/10) Hyperbolic Matrix(109,-486,24,-107) (22/5,9/2) -> (9/2,32/7) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(55,648,-32,-377) -> Matrix(3,-4,-2,3) Matrix(109,1026,46,433) -> Matrix(7,12,-10,-17) Matrix(109,918,-64,-539) -> Matrix(3,-4,-2,3) Matrix(163,1242,-92,-701) -> Matrix(5,14,-4,-11) Matrix(53,378,-38,-271) -> Matrix(17,28,-14,-23) Matrix(107,702,-66,-433) -> Matrix(31,22,-24,-17) Matrix(109,702,84,541) -> Matrix(3,4,-4,-5) Matrix(431,2700,-276,-1729) -> Matrix(7,6,-6,-5) Matrix(53,324,44,269) -> Matrix(17,6,-20,-7) Matrix(55,324,46,271) -> Matrix(7,-6,-8,7) Matrix(431,2484,-300,-1729) -> Matrix(5,4,-4,-3) Matrix(161,918,104,593) -> Matrix(5,-4,-6,5) Matrix(107,594,-78,-433) -> Matrix(5,-6,-4,5) Matrix(109,594,20,109) -> Matrix(1,0,-2,1) Matrix(161,864,30,161) -> Matrix(1,2,-2,-3) Matrix(215,1134,-164,-865) -> Matrix(7,6,-6,-5) Matrix(53,270,-32,-163) -> Matrix(13,4,-10,-3) Matrix(215,1026,-136,-649) -> Matrix(5,-6,-4,5) Matrix(217,1026,-114,-539) -> Matrix(3,-4,-2,3) Matrix(755,3564,526,2483) -> Matrix(5,6,-6,-7) Matrix(379,1782,-218,-1025) -> Matrix(5,4,-4,-3) Matrix(163,756,-58,-269) -> Matrix(1,-2,0,1) Matrix(107,486,-24,-109) -> Matrix(1,-6,0,1) Matrix(757,3348,220,973) -> Matrix(3,16,-4,-21) Matrix(1187,5238,734,3239) -> Matrix(23,106,-28,-129) Matrix(271,1188,-86,-377) -> Matrix(3,8,-2,-5) Matrix(161,702,136,593) -> Matrix(7,22,-8,-25) Matrix(215,918,-152,-649) -> Matrix(5,-6,-4,5) Matrix(269,1134,-218,-919) -> Matrix(9,26,-8,-23) Matrix(271,1134,168,703) -> Matrix(23,60,-28,-73) Matrix(269,1026,-156,-595) -> Matrix(19,34,-14,-25) Matrix(971,3672,-600,-2269) -> Matrix(51,88,-40,-69) Matrix(701,2646,386,1457) -> Matrix(87,140,-110,-177) Matrix(919,3456,-330,-1241) -> Matrix(5,8,-2,-3) Matrix(217,810,116,433) -> Matrix(17,24,-22,-31) Matrix(755,2808,-552,-2053) -> Matrix(17,28,-14,-23) Matrix(161,594,-132,-487) -> Matrix(3,2,-2,-1) Matrix(163,594,104,379) -> Matrix(5,6,-6,-7) Matrix(269,972,194,701) -> Matrix(17,40,-20,-47) Matrix(271,972,196,703) -> Matrix(7,8,-8,-9) Matrix(1621,5778,-636,-2267) -> Matrix(3,2,-2,-1) Matrix(379,1350,258,919) -> Matrix(5,16,-6,-19) Matrix(107,378,-92,-325) -> Matrix(5,4,-4,-3) Matrix(109,378,-62,-215) -> Matrix(3,2,-2,-1) Matrix(269,918,-206,-703) -> Matrix(5,4,-4,-3) Matrix(271,918,80,271) -> Matrix(3,4,-4,-5) Matrix(161,540,48,161) -> Matrix(7,12,-10,-17) Matrix(1403,4644,-816,-2701) -> Matrix(11,18,-8,-13) Matrix(1243,4104,-474,-1565) -> Matrix(11,18,-8,-13) Matrix(1081,3564,852,2809) -> Matrix(19,32,-22,-37) Matrix(755,2484,-624,-2053) -> Matrix(23,32,-18,-25) Matrix(215,702,132,431) -> Matrix(13,22,-16,-27) Matrix(269,864,-118,-379) -> Matrix(13,18,-8,-11) Matrix(271,864,-186,-593) -> Matrix(17,28,-14,-23) Matrix(431,1350,310,971) -> Matrix(27,38,-32,-45) Matrix(377,1080,-170,-487) -> Matrix(3,-4,-2,3) Matrix(379,1080,-246,-701) -> Matrix(5,4,-4,-3) Matrix(325,918,268,757) -> Matrix(5,6,-6,-7) Matrix(2051,5724,-1200,-3349) -> Matrix(3,2,-2,-1) Matrix(1511,4212,852,2375) -> Matrix(5,-4,-6,5) Matrix(4967,13824,-3648,-10153) -> Matrix(17,96,-14,-79) Matrix(971,2700,-816,-2269) -> Matrix(7,20,-6,-17) Matrix(215,594,156,431) -> Matrix(5,16,-6,-19) Matrix(217,594,-118,-323) -> Matrix(11,18,-8,-13) Matrix(377,1026,-298,-811) -> Matrix(7,20,-6,-17) Matrix(379,1026,140,379) -> Matrix(5,12,-8,-19) Matrix(161,432,60,161) -> Matrix(7,12,-10,-17) Matrix(593,1566,-348,-919) -> Matrix(11,18,-8,-13) Matrix(2051,5400,-1272,-3349) -> Matrix(51,88,-40,-69) Matrix(431,1134,328,863) -> Matrix(19,32,-22,-37) Matrix(6263,16416,-4368,-11449) -> Matrix(1,0,0,1) Matrix(1999,5238,1546,4051) -> Matrix(9,10,-10,-11) Matrix(1403,3672,-1032,-2701) -> Matrix(29,52,-24,-43) Matrix(269,702,-228,-595) -> Matrix(5,4,-4,-3) Matrix(271,702,188,487) -> Matrix(7,8,-8,-9) Matrix(377,972,230,593) -> Matrix(31,40,-38,-49) Matrix(379,972,232,595) -> Matrix(5,-4,-6,5) Matrix(1079,2754,592,1511) -> Matrix(3,10,-4,-13) Matrix(2861,7290,-2268,-5779) -> Matrix(59,72,-50,-61) Matrix(107,270,-86,-217) -> Matrix(7,6,-6,-5) Matrix(109,270,44,109) -> Matrix(1,4,-2,-7) Matrix(485,1188,198,485) -> Matrix(23,44,-34,-65) Matrix(863,2106,-620,-1513) -> Matrix(41,76,-34,-63) Matrix(377,918,-200,-487) -> Matrix(19,34,-14,-25) Matrix(647,1566,-402,-973) -> Matrix(23,32,-18,-25) Matrix(917,2214,514,1241) -> Matrix(21,38,-26,-47) Matrix(2375,5724,-1524,-3673) -> Matrix(3,2,-2,-1) Matrix(539,1296,314,755) -> Matrix(3,10,-4,-13) Matrix(541,1296,316,757) -> Matrix(13,22,-16,-27) Matrix(271,648,-248,-593) -> Matrix(23,38,-20,-33) Matrix(701,1674,384,917) -> Matrix(3,10,-4,-13) Matrix(431,1026,-318,-757) -> Matrix(53,100,-44,-83) Matrix(865,2052,-728,-1727) -> Matrix(17,28,-14,-23) Matrix(433,1026,46,109) -> Matrix(7,12,-10,-17) Matrix(1027,2430,-844,-1997) -> Matrix(11,18,-8,-13) Matrix(755,1782,-458,-1081) -> Matrix(57,92,-44,-71) Matrix(757,1782,-596,-1403) -> Matrix(5,4,-4,-3) Matrix(163,378,-116,-269) -> Matrix(37,58,-30,-47) Matrix(541,1242,-470,-1079) -> Matrix(5,4,-4,-3) Matrix(1837,4212,1178,2701) -> Matrix(13,22,-16,-27) Matrix(1297,2970,-990,-2267) -> Matrix(23,38,-20,-33) Matrix(973,2214,570,1297) -> Matrix(7,12,-10,-17) Matrix(215,486,-96,-217) -> Matrix(35,54,-24,-37) Matrix(2375,5292,872,1943) -> Matrix(7,10,-12,-17) Matrix(1189,2646,874,1945) -> Matrix(131,188,-154,-221) Matrix(1243,2754,756,1675) -> Matrix(7,8,-8,-9) Matrix(757,1674,440,973) -> Matrix(17,24,-22,-31) Matrix(271,594,-172,-377) -> Matrix(3,2,-2,-1) Matrix(377,810,276,593) -> Matrix(5,16,-6,-19) Matrix(431,918,-254,-541) -> Matrix(27,50,-20,-37) Matrix(1081,2052,-796,-1511) -> Matrix(191,272,-158,-225) Matrix(433,810,116,217) -> Matrix(17,24,-22,-31) Matrix(379,702,88,163) -> Matrix(19,26,-30,-41) Matrix(917,1674,384,701) -> Matrix(7,10,-12,-17) Matrix(593,1080,-386,-703) -> Matrix(47,64,-36,-49) Matrix(269,486,-150,-271) -> Matrix(119,160,-90,-121) Matrix(2053,3672,544,973) -> Matrix(137,180,-188,-247) Matrix(1027,1836,212,379) -> Matrix(29,38,-42,-55) Matrix(485,864,-334,-595) -> Matrix(75,98,-62,-81) Matrix(973,1728,-790,-1403) -> Matrix(67,86,-60,-77) Matrix(2375,4212,852,1511) -> Matrix(3,4,-10,-13) Matrix(1189,2106,-1036,-1835) -> Matrix(53,68,-46,-59) Matrix(1405,2484,306,541) -> Matrix(3,4,-10,-13) Matrix(1621,2862,-1284,-2267) -> Matrix(33,46,-28,-39) Matrix(1459,2538,-1148,-1997) -> Matrix(3,2,-2,-1) Matrix(809,1404,-654,-1135) -> Matrix(5,4,-4,-3) Matrix(1621,2808,-1184,-2051) -> Matrix(17,28,-14,-23) Matrix(593,1026,530,917) -> Matrix(37,52,-42,-59) Matrix(3997,6912,-2560,-4427) -> Matrix(23,32,-18,-25) Matrix(971,1674,250,431) -> Matrix(31,42,-48,-65) Matrix(1567,2700,408,703) -> Matrix(41,54,-60,-79) Matrix(973,1674,440,757) -> Matrix(17,24,-22,-31) Matrix(755,1296,314,539) -> Matrix(7,10,-12,-17) Matrix(757,1296,316,541) -> Matrix(17,22,-24,-31) Matrix(5561,9504,1990,3401) -> Matrix(7,10,-12,-17) Matrix(7237,12366,2592,4429) -> Matrix(5,6,-6,-7) Matrix(917,1566,284,485) -> Matrix(5,6,-6,-7) Matrix(1999,3402,540,919) -> Matrix(7,10,-12,-17) Matrix(2863,4860,-2258,-3833) -> Matrix(91,124,-80,-109) Matrix(701,1188,-606,-1027) -> Matrix(141,190,-118,-159) Matrix(703,1188,416,703) -> Matrix(257,344,-322,-431) Matrix(161,270,96,161) -> Matrix(103,136,-128,-169) Matrix(3511,5778,-2526,-4157) -> Matrix(79,100,-64,-81) Matrix(755,1242,262,431) -> Matrix(3,4,-10,-13) Matrix(593,972,230,377) -> Matrix(31,40,-38,-49) Matrix(595,972,232,379) -> Matrix(3,4,-10,-13) Matrix(431,702,132,215) -> Matrix(17,22,-24,-31) Matrix(1133,1836,166,269) -> Matrix(59,76,-66,-85) Matrix(1567,2538,234,379) -> Matrix(81,104,-74,-95) Matrix(6641,10746,-5240,-8479) -> Matrix(53,68,-46,-59) Matrix(7343,11880,-5608,-9073) -> Matrix(67,86,-60,-77) Matrix(3673,5940,802,1297) -> Matrix(25,32,-68,-87) Matrix(2539,4104,-1770,-2861) -> Matrix(39,50,-32,-41) Matrix(703,1134,168,271) -> Matrix(47,60,-76,-97) Matrix(7235,11664,2746,4427) -> Matrix(47,60,-76,-97) Matrix(7237,11664,2748,4429) -> Matrix(85,108,-122,-155) Matrix(269,432,-236,-379) -> Matrix(53,68,-46,-59) Matrix(271,432,170,271) -> Matrix(111,140,-134,-169) Matrix(647,1026,408,647) -> Matrix(129,160,-154,-191) Matrix(3349,5292,1846,2917) -> Matrix(263,324,-332,-409) Matrix(2701,4266,-1914,-3023) -> Matrix(199,242,-162,-197) Matrix(1403,2214,410,647) -> Matrix(7,8,-8,-9) Matrix(379,594,104,163) -> Matrix(5,6,-6,-7) Matrix(2215,3456,-1626,-2537) -> Matrix(61,72,-50,-59) Matrix(2701,4212,1178,1837) -> Matrix(17,22,-24,-31) Matrix(7937,12366,3292,5129) -> Matrix(5,6,-6,-7) Matrix(6103,9504,2532,3943) -> Matrix(17,22,-24,-31) Matrix(487,756,-382,-593) -> Matrix(3,2,-2,-1) Matrix(1889,2916,664,1025) -> Matrix(11,14,-26,-33) Matrix(1891,2916,666,1027) -> Matrix(13,16,-22,-27) Matrix(811,1242,318,487) -> Matrix(17,22,-24,-31) Matrix(811,1188,-626,-917) -> Matrix(1,0,0,1) Matrix(1997,2916,628,917) -> Matrix(17,22,-24,-31) Matrix(1999,2916,630,919) -> Matrix(55,68,-72,-89) Matrix(1081,1566,448,649) -> Matrix(7,8,-8,-9) Matrix(487,702,188,271) -> Matrix(7,8,-8,-9) Matrix(7181,10314,1240,1781) -> Matrix(11,14,-26,-33) Matrix(8047,11556,1392,1999) -> Matrix(13,16,-22,-27) Matrix(2483,3564,526,755) -> Matrix(5,6,-6,-7) Matrix(18305,26244,5536,7937) -> Matrix(7,10,-12,-17) Matrix(18307,26244,5538,7939) -> Matrix(29,38,-42,-55) Matrix(377,540,-340,-487) -> Matrix(53,68,-46,-59) Matrix(379,540,266,379) -> Matrix(31,40,-38,-49) Matrix(647,918,456,647) -> Matrix(209,260,-250,-311) Matrix(1567,2214,574,811) -> Matrix(21,26,-38,-47) Matrix(6967,9828,-5014,-7073) -> Matrix(593,726,-486,-595) Matrix(2375,3348,1838,2591) -> Matrix(49,60,-58,-71) Matrix(2213,3078,504,701) -> Matrix(21,26,-38,-47) Matrix(19117,26568,3964,5509) -> Matrix(121,148,-130,-159) Matrix(17603,24462,3652,5075) -> Matrix(113,138,-104,-127) Matrix(701,972,194,269) -> Matrix(33,40,-52,-63) Matrix(703,972,196,271) -> Matrix(7,8,-8,-9) Matrix(431,594,156,215) -> Matrix(13,16,-22,-27) Matrix(2483,3402,1024,1403) -> Matrix(7,8,-8,-9) Matrix(8531,11664,2290,3131) -> Matrix(67,82,-76,-93) Matrix(8533,11664,2292,3133) -> Matrix(23,28,-14,-17) Matrix(593,810,276,377) -> Matrix(13,16,-22,-27) Matrix(19277,26244,5116,6965) -> Matrix(601,730,-806,-979) Matrix(19279,26244,5118,6967) -> Matrix(491,596,-650,-789) Matrix(2699,3672,1190,1619) -> Matrix(97,118,-134,-163) Matrix(6319,8586,-5126,-6965) -> Matrix(157,190,-138,-167) Matrix(7991,10854,1510,2051) -> Matrix(43,52,-24,-29) Matrix(1997,2700,838,1133) -> Matrix(113,136,-172,-207) Matrix(1243,1674,522,703) -> Matrix(107,128,-158,-189) Matrix(863,1134,328,431) -> Matrix(27,32,-38,-45) Matrix(5075,6642,1072,1403) -> Matrix(5,6,-6,-7) Matrix(539,702,248,323) -> Matrix(9,10,-10,-11) Matrix(541,702,84,109) -> Matrix(3,4,-4,-5) Matrix(2377,3078,668,865) -> Matrix(13,16,-22,-27) Matrix(377,486,-294,-379) -> Matrix(59,72,-50,-61) Matrix(4643,5940,1772,2267) -> Matrix(49,58,-60,-71) Matrix(1943,2484,844,1079) -> Matrix(63,74,-86,-101) Matrix(973,1242,170,217) -> Matrix(5,6,-16,-19) Matrix(9179,11664,1954,2483) -> Matrix(5,6,-6,-7) Matrix(9181,11664,1956,2485) -> Matrix(5,6,-26,-31) Matrix(2809,3564,852,1081) -> Matrix(27,32,-38,-45) Matrix(5239,6642,1236,1567) -> Matrix(25,28,-42,-47) Matrix(19387,24462,5436,6859) -> Matrix(93,110,-104,-123) Matrix(21059,26568,5906,7451) -> Matrix(61,72,-50,-59) Matrix(1457,1836,642,809) -> Matrix(99,116,-134,-157) Matrix(8803,10854,2322,2863) -> Matrix(57,62,-80,-87) Matrix(703,864,572,703) -> Matrix(21,22,-22,-23) Matrix(485,594,396,485) -> Matrix(5,6,-6,-7) Matrix(755,918,88,107) -> Matrix(3,4,-4,-5) Matrix(1025,1242,222,269) -> Matrix(3,4,-10,-13) Matrix(9557,11556,2902,3509) -> Matrix(137,172,-184,-231) Matrix(8533,10314,2592,3133) -> Matrix(151,188,-200,-249) Matrix(269,324,44,53) -> Matrix(5,6,4,5) Matrix(271,324,46,55) -> Matrix(5,6,-16,-19) Matrix(593,702,136,161) -> Matrix(19,22,-32,-37) Matrix(2159,2538,826,971) -> Matrix(9,10,-10,-11) Matrix(1567,1836,600,703) -> Matrix(7,8,-8,-9) Matrix(2537,2916,328,377) -> Matrix(29,34,-64,-75) Matrix(2539,2916,330,379) -> Matrix(31,36,-56,-65) Matrix(811,918,144,163) -> Matrix(5,6,-16,-19) Matrix(917,1026,530,593) -> Matrix(45,52,-58,-67) Matrix(1,0,2,1) -> Matrix(13,14,-14,-15) Matrix(593,-648,248,-271) -> Matrix(43,38,-60,-53) Matrix(809,-918,334,-379) -> Matrix(5,4,-4,-3) Matrix(1079,-1242,470,-541) -> Matrix(5,4,-4,-3) Matrix(325,-378,92,-107) -> Matrix(5,4,-4,-3) Matrix(595,-702,228,-269) -> Matrix(5,4,-4,-3) Matrix(2269,-2700,816,-971) -> Matrix(23,20,-38,-33) Matrix(2053,-2484,624,-755) -> Matrix(39,32,-50,-41) Matrix(487,-594,132,-161) -> Matrix(3,2,-2,-1) Matrix(919,-1134,218,-269) -> Matrix(29,26,-48,-43) Matrix(217,-270,86,-107) -> Matrix(7,6,-6,-5) Matrix(811,-1026,298,-377) -> Matrix(23,20,-38,-33) Matrix(809,-1026,384,-487) -> Matrix(43,38,-60,-53) Matrix(1403,-1782,596,-757) -> Matrix(5,4,-4,-3) Matrix(593,-756,382,-487) -> Matrix(3,2,-2,-1) Matrix(379,-486,294,-377) -> Matrix(83,72,-98,-85) Matrix(917,-1188,626,-811) -> Matrix(1,0,0,1) Matrix(703,-918,206,-269) -> Matrix(5,4,-4,-3) Matrix(865,-1134,164,-215) -> Matrix(7,6,-6,-5) Matrix(757,-1026,318,-431) -> Matrix(117,100,-172,-147) Matrix(2701,-3672,1032,-1403) -> Matrix(61,52,-88,-75) Matrix(2537,-3456,1626,-2215) -> Matrix(85,72,-98,-83) Matrix(2053,-2808,552,-755) -> Matrix(33,28,-46,-39) Matrix(433,-594,78,-107) -> Matrix(7,6,-20,-17) Matrix(4157,-5778,2526,-3511) -> Matrix(119,100,-144,-121) Matrix(271,-378,38,-53) -> Matrix(33,28,-46,-39) Matrix(269,-378,116,-163) -> Matrix(69,58,-94,-79) Matrix(649,-918,152,-215) -> Matrix(7,6,-20,-17) Matrix(3241,-4644,1356,-1943) -> Matrix(3,2,-2,-1) Matrix(2861,-4104,1770,-2539) -> Matrix(59,50,-72,-61) Matrix(1729,-2484,300,-431) -> Matrix(5,4,-4,-3) Matrix(595,-864,334,-485) -> Matrix(115,98,-142,-121) Matrix(593,-864,186,-271) -> Matrix(33,28,-46,-39) Matrix(703,-1080,386,-593) -> Matrix(79,64,-100,-81) Matrix(701,-1080,246,-379) -> Matrix(5,4,-4,-3) Matrix(3673,-5724,1524,-2375) -> Matrix(3,2,-2,-1) Matrix(8857,-13824,2352,-3671) -> Matrix(39,32,-50,-41) Matrix(1729,-2700,276,-431) -> Matrix(7,6,-6,-5) Matrix(377,-594,172,-271) -> Matrix(3,2,-2,-1) Matrix(649,-1026,136,-215) -> Matrix(7,6,-20,-17) Matrix(973,-1566,402,-647) -> Matrix(39,32,-50,-41) Matrix(3349,-5400,1272,-2051) -> Matrix(107,88,-152,-125) Matrix(10153,-16416,3072,-4967) -> Matrix(107,88,-152,-125) Matrix(2269,-3672,600,-971) -> Matrix(107,88,-152,-125) Matrix(433,-702,66,-107) -> Matrix(27,22,-16,-13) Matrix(4429,-7290,918,-1511) -> Matrix(61,50,-72,-59) Matrix(163,-270,32,-53) -> Matrix(5,4,6,5) Matrix(1243,-2106,350,-593) -> Matrix(83,66,-122,-97) Matrix(541,-918,254,-431) -> Matrix(63,50,-92,-73) Matrix(919,-1566,348,-593) -> Matrix(23,18,-32,-25) Matrix(3349,-5724,1200,-2051) -> Matrix(3,2,-2,-1) Matrix(377,-648,32,-55) -> Matrix(5,4,-14,-11) Matrix(595,-1026,156,-269) -> Matrix(43,34,-62,-49) Matrix(1187,-2052,188,-325) -> Matrix(13,10,-4,-3) Matrix(1403,-2430,250,-433) -> Matrix(3,2,-2,-1) Matrix(1027,-1782,404,-701) -> Matrix(3,2,-2,-1) Matrix(1025,-1782,218,-379) -> Matrix(5,4,-4,-3) Matrix(215,-378,62,-109) -> Matrix(3,2,-2,-1) Matrix(701,-1242,92,-163) -> Matrix(17,14,-28,-23) Matrix(1673,-2970,396,-703) -> Matrix(29,24,-52,-43) Matrix(271,-486,150,-269) -> Matrix(199,160,-250,-201) Matrix(323,-594,118,-217) -> Matrix(23,18,-32,-25) Matrix(487,-918,200,-377) -> Matrix(43,34,-62,-49) Matrix(971,-2052,256,-541) -> Matrix(69,50,-98,-71) Matrix(487,-1080,170,-377) -> Matrix(5,4,-14,-11) Matrix(217,-486,96,-215) -> Matrix(71,54,-96,-73) Matrix(379,-864,118,-269) -> Matrix(25,18,-32,-23) Matrix(755,-1728,142,-325) -> Matrix(11,8,-18,-13) Matrix(917,-2106,118,-271) -> Matrix(3,2,-2,-1) Matrix(1241,-2862,258,-595) -> Matrix(3,2,4,3) Matrix(1079,-2538,230,-541) -> Matrix(3,2,-2,-1) Matrix(595,-1404,114,-269) -> Matrix(11,8,-18,-13) Matrix(1187,-2808,320,-757) -> Matrix(11,8,-18,-13) Matrix(2915,-6912,1048,-2485) -> Matrix(23,16,-36,-25) Matrix(1997,-4860,422,-1027) -> Matrix(3,2,4,3) Matrix(487,-1188,66,-161) -> Matrix(23,16,-36,-25) Matrix(2267,-5778,636,-1621) -> Matrix(3,2,-2,-1) Matrix(4105,-10746,866,-2267) -> Matrix(1,0,0,1) Matrix(4537,-11880,1072,-2807) -> Matrix(11,8,-18,-13) Matrix(1565,-4104,474,-1243) -> Matrix(23,18,-32,-25) Matrix(163,-432,20,-53) -> Matrix(3,2,-2,-1) Matrix(1565,-4266,456,-1243) -> Matrix(1,0,0,1) Matrix(1241,-3456,330,-919) -> Matrix(13,8,-18,-11) Matrix(269,-756,58,-163) -> Matrix(3,2,-8,-5) Matrix(377,-1188,86,-271) -> Matrix(11,8,-18,-13) Matrix(163,-540,16,-53) -> Matrix(3,2,-2,-1) Matrix(2861,-9828,802,-2755) -> Matrix(1,2,-2,-3) Matrix(2267,-8586,428,-1621) -> Matrix(11,8,-18,-13) Matrix(109,-486,24,-107) -> Matrix(11,6,-24,-13) INFORMATION ON THE IMAGE OF THIS GROUP UNDER THE VIRTUAL ENDOMORPHISM Index in PSL(2,Z): 6 Minimal number of generators: 2 Number of equivalence classes of cusps: 3 Genus: 0 Degree of H/liftables -> H/(image of liftables): 80 Degree of the the map X: 80 Degree of the the map Y: 324 ----------------------------------------------------------------------- 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. ----------------------------------------------------------------------- INFORMATION ON THE IMAGE IN PGL(2,Z) OF THE GROUP OF EXTENDED MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE c d 0/1 -1/1 7 1 1/1 -1/1 1 27 10/9 (-8/9,-7/8) 0 27 9/8 -7/8 2 3 8/7 (-7/8,-6/7) 0 27 15/13 -13/15 1 9 7/6 (-1/1,-6/7) 0 27 13/11 -1/1 1 27 19/16 (-7/8,-6/7) 0 27 25/21 -1/1 1 27 6/5 -6/7 2 9 29/24 (-26/31,-5/6) 0 27 23/19 -1/1 1 27 17/14 (-5/6,-4/5) 0 27 11/9 -1/1 1 27 27/22 -1/1 8 1 16/13 (-1/1,-11/12) 0 27 21/17 -1/1 1 9 5/4 (-8/9,-7/8) 0 27 19/15 -1/1 1 27 52/41 (-22/25,-7/8) 0 27 33/26 -7/8 2 9 14/11 (-7/8,-6/7) 0 27 23/18 (-7/8,-6/7) 0 27 9/7 -6/7 1 3 31/24 (-6/7,-5/6) 0 27 53/41 -1/1 1 27 22/17 (-7/8,-6/7) 0 27 35/27 -1/1 1 27 13/10 (-1/1,-6/7) 0 27 17/13 -1/1 1 27 21/16 -7/8 2 9 4/3 (-7/8,-6/7) 0 27 19/14 (-6/7,-29/34) 0 27 34/25 (-23/27,-17/20) 0 27 49/36 (-74/87,-17/20) 0 27 15/11 -11/13 1 9 41/30 (-28/33,-11/13) 0 27 26/19 (-11/13,-5/6) 0 27 11/8 (-6/7,-5/6) 0 27 29/21 -1/1 1 27 18/13 -6/7 2 3 25/18 (-17/20,-28/33) 0 27 57/41 -11/13 1 9 32/23 (-6/7,-5/6) 0 27 7/5 -11/13 1 27 24/17 -16/19 2 9 17/12 (-26/31,-5/6) 0 27 27/19 -5/6 6 1 10/7 (-5/6,-4/5) 0 27 43/30 (-5/6,-4/5) 0 27 33/23 -1/1 1 9 56/39 (-6/7,-5/6) 0 27 23/16 (-5/6,-4/5) 0 27 13/9 -1/1 1 27 16/11 (-11/13,-5/6) 0 27 19/13 -1/1 1 27 22/15 (-7/8,-6/7) 0 27 3/2 -5/6 2 9 20/13 (-1/1,-5/6) 0 27 17/11 -9/11 1 27 31/20 (-5/6,-4/5) 0 27 14/9 (-5/6,-4/5) 0 27 53/34 (-1/1,-4/5) 0 27 39/25 -1/1 1 9 103/66 (-26/31,-5/6) 0 27 64/41 (-5/6,-4/5) 0 27 25/16 (-5/6,-14/17) 0 27 11/7 -1/1 1 27 30/19 -6/7 2 9 19/12 (-16/19,-5/6) 0 27 27/17 -5/6 6 1 8/5 (-5/6,-14/17) 0 27 29/18 (-5/6,-14/17) 0 27 50/31 (-14/17,-23/28) 0 27 21/13 -9/11 1 9 97/60 (-5/6,-14/17) 0 27 76/47 (-14/17,-23/28) 0 27 55/34 (-14/17,-9/11) 0 27 34/21 (-41/50,-9/11) 0 27 13/8 (-9/11,-4/5) 0 27 31/19 -19/23 1 27 18/11 -9/11 2 3 23/14 (-13/16,-4/5) 0 27 51/31 -9/11 1 9 79/48 (-23/28,-32/39) 0 27 28/17 (-9/11,-31/38) 0 27 5/3 -17/21 1 27 27/16 -4/5 15 1 22/13 (-4/5,-43/54) 0 27 39/23 -23/29 1 9 17/10 (-4/5,-11/14) 0 27 29/17 -7/9 1 27 41/24 (-1/1,-4/5) 0 27 53/31 -1/1 1 27 12/7 -4/5 2 9 55/32 (-4/5,-7/9) 0 27 43/25 -7/9 1 27 31/18 (-5/6,-4/5) 0 27 19/11 -7/9 1 27 64/37 (-4/5,-3/4) 0 27 45/26 -3/4 2 3 26/15 (-1/1,-3/4) 0 27 33/19 -1/1 1 9 7/4 (-1/1,-4/5) 0 27 23/13 -1/1 1 27 39/22 -5/6 2 9 55/31 -9/11 1 27 16/9 (-9/11,-13/16) 0 27 41/23 -17/21 1 27 25/14 (-13/16,-4/5) 0 27 9/5 -4/5 5 3 29/16 (-4/5,-27/34) 0 27 49/27 -61/77 1 27 20/11 (-15/19,-11/14) 0 27 51/28 -11/14 2 9 31/17 -1/1 1 27 11/6 (-4/5,-11/14) 0 27 13/7 -7/9 1 27 15/8 -3/4 2 9 2/1 (-4/5,-3/4) 0 27 19/9 -5/7 1 27 17/8 (-7/10,-2/3) 0 27 15/7 -1/1 1 9 13/6 (-1/1,-4/5) 0 27 24/11 -4/5 2 9 11/5 -1/1 1 27 31/14 (-4/5,-11/14) 0 27 20/9 (-7/9,-3/4) 0 27 9/4 -3/4 3 3 34/15 (-3/4,-11/15) 0 27 59/26 (-3/4,-20/27) 0 27 25/11 -11/15 1 27 16/7 (-3/4,-5/7) 0 27 55/24 (-5/7,-2/3) 0 27 39/17 -5/7 1 9 62/27 (-3/4,-2/3) 0 27 23/10 (-3/4,-8/11) 0 27 53/23 -5/7 1 27 30/13 -2/3 2 9 7/3 -5/7 1 27 40/17 (-3/4,-2/3) 0 27 33/14 -3/4 2 9 26/11 (-5/7,-7/10) 0 27 45/19 -5/7 1 3 64/27 (-12/17,-7/10) 0 27 19/8 (-7/10,-2/3) 0 27 50/21 (-19/28,-2/3) 0 27 81/34 -2/3 11 1 31/13 -3/5 1 27 43/18 (-3/4,-2/3) 0 27 98/41 (-3/4,-2/3) 0 27 55/23 -5/7 1 27 12/5 -2/3 2 9 53/22 (-1/1,-2/3) 0 27 94/39 (-3/4,-2/3) 0 27 135/56 -2/3 1 1 41/17 -1/1 1 27 29/12 (-3/4,-2/3) 0 27 46/19 (-3/4,-2/3) 0 27 63/26 -3/4 2 3 17/7 -5/7 1 27 56/23 (-7/10,-2/3) 0 27 39/16 -7/10 2 9 22/9 (-11/16,-2/3) 0 27 27/11 -2/3 6 1 5/2 (-2/3,-1/2) 0 27 33/13 -1/1 1 9 28/11 (-1/1,-1/2) 0 27 51/20 -3/4 2 9 23/9 -3/5 1 27 18/7 -1/1 2 3 31/12 (-4/5,-3/4) 0 27 13/5 -1/1 1 27 47/18 (-1/1,-2/3) 0 27 81/31 -1/1 1 1 34/13 (-1/1,-3/4) 0 27 89/34 (-2/3,-1/2) 0 27 144/55 -1/1 4 3 55/21 -1/1 1 27 76/29 (-4/5,-3/4) 0 27 21/8 -3/4 2 9 50/19 (-3/4,-2/3) 0 27 79/30 (-7/10,-2/3) 0 27 108/41 -2/3 3 1 29/11 -1/1 1 27 37/14 (-2/3,-1/2) 0 27 8/3 (-3/4,-2/3) 0 27 27/10 -2/3 3 1 19/7 -3/5 1 27 49/18 (-4/7,-1/2) 0 27 79/29 -1/1 1 27 30/11 -2/3 2 9 41/15 -1/1 1 27 11/4 (-2/3,-1/2) 0 27 25/9 -3/5 1 27 89/32 (-2/3,-1/2) 0 27 64/23 (-4/7,-1/2) 0 27 39/14 -1/2 2 9 53/19 -1/1 1 27 67/24 (-1/1,-2/3) 0 27 81/29 -2/3 1 1 14/5 (-2/3,-1/2) 0 27 17/6 (-2/3,-1/2) 0 27 54/19 -1/2 3 1 37/13 -1/3 1 27 20/7 (-1/1,-1/2) 0 27 23/8 (0/1,1/0) 0 27 3/1 -1/1 1 9 19/6 (-4/5,-3/4) 0 27 54/17 -3/4 3 1 35/11 -5/7 1 27 16/5 (-1/1,-3/4) 0 27 29/9 -5/7 1 27 13/4 (-1/1,-2/3) 0 27 23/7 -7/9 1 27 79/24 (-22/29,-3/4) 0 27 135/41 -3/4 12 1 56/17 (-3/4,-14/19) 0 27 33/10 -3/4 2 9 76/23 (-3/4,-2/3) 0 27 119/36 (-7/10,-2/3) 0 27 162/49 -2/3 3 1 43/13 -1/1 1 27 10/3 (-3/4,-2/3) 0 27 27/8 -2/3 1 1 17/5 -1/1 1 27 41/12 (-1/1,-2/3) 0 27 24/7 -2/3 2 9 79/23 -1/1 1 27 55/16 (-1/1,-4/5) 0 27 31/9 -1/1 1 27 7/2 (-1/1,-2/3) 0 27 39/11 -5/7 1 9 32/9 (-2/3,-5/8) 0 27 57/16 -1/2 2 9 82/23 (-1/1,1/0) 0 27 189/53 -1/1 7 1 107/30 (-1/1,-6/7) 0 27 25/7 -1/1 1 27 18/5 -2/3 2 3 29/8 (-4/7,-1/2) 0 27 11/3 -1/1 1 27 37/10 (-3/4,-2/3) 0 27 63/17 -1/1 1 3 26/7 (-1/1,-3/4) 0 27 67/18 (-1/1,0/1) 0 27 108/29 -1/1 5 1 41/11 -1/1 1 27 15/4 -3/4 2 9 64/17 (-4/5,-3/4) 0 27 113/30 (-22/29,-3/4) 0 27 162/43 -3/4 13 1 49/13 -17/23 1 27 34/9 (-13/18,-5/7) 0 27 53/14 (-5/7,-2/3) 0 27 72/19 -5/7 4 3 91/24 (-17/24,-12/17) 0 27 19/5 -5/7 1 27 23/6 (-11/16,-2/3) 0 27 27/7 -2/3 6 1 4/1 (-2/3,-1/2) 0 27 21/5 -3/5 1 9 38/9 (-3/5,-7/12) 0 27 55/13 -3/5 1 27 72/17 -3/5 4 3 17/4 (-4/7,-1/2) 0 27 30/7 -2/3 2 9 13/3 -3/5 1 27 35/8 (-4/7,-1/2) 0 27 57/13 -3/5 1 9 22/5 (-4/7,-1/2) 0 27 9/2 -1/2 3 3 32/7 (-1/2,-2/5) 0 27 55/12 (-2/5,-1/3) 0 27 23/5 -1/3 1 27 37/8 (-1/2,0/1) 0 27 14/3 (-1/2,0/1) 0 27 61/13 -1/3 1 27 108/23 0/1 2 1 47/10 (-1/1,0/1) 0 27 33/7 -1/1 1 9 52/11 (-1/2,0/1) 0 27 71/15 -1/1 1 27 90/19 -1/1 4 3 19/4 (-2/3,-1/2) 0 27 24/5 0/1 2 9 53/11 -1/1 1 27 135/28 -1/1 13 1 82/17 (-1/1,-9/10) 0 27 29/6 (-3/4,-2/3) 0 27 5/1 -1/3 1 27 26/5 (-1/1,-3/4) 0 27 21/4 -1/2 2 9 37/7 -1/1 1 27 90/17 -1/1 4 3 53/10 (-1/1,-2/3) 0 27 16/3 (-1/1,-1/2) 0 27 27/5 -1/2 1 1 11/2 (-1/2,0/1) 0 27 28/5 (-1/1,-1/2) 0 27 45/8 -1/2 2 3 17/3 -1/1 1 27 23/4 (-1/2,0/1) 0 27 52/9 (-2/3,-1/2) 0 27 81/14 -1/2 3 1 29/5 -1/3 1 27 6/1 0/1 2 9 25/4 (-4/1,1/0) 0 27 44/7 (-2/1,1/0) 0 27 19/3 -1/1 1 27 13/2 (-2/1,-1/1) 0 27 20/3 (-7/6,-1/1) 0 27 27/4 -1/1 10 1 7/1 -1/1 1 27 22/3 (-3/4,-2/3) 0 27 15/2 -1/2 2 9 23/3 -3/5 1 27 54/7 -1/2 5 1 31/4 (-1/2,-2/5) 0 27 8/1 (-1/2,0/1) 0 27 17/2 (0/1,1/0) 0 27 9/1 -1/1 1 3 10/1 (-1/2,0/1) 0 27 11/1 -1/1 1 27 1/0 (-1/1,0/1) 0 27 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(1,0,0,-1) (0/1,1/0) -> (0/1,1/0) Reflection Matrix(1,0,2,-1) (0/1,1/1) -> (0/1,1/1) Reflection Matrix(593,-648,248,-271) (1/1,10/9) -> (98/41,55/23) Hyperbolic Matrix(917,-1026,530,-593) (10/9,9/8) -> (64/37,45/26) Glide Reflection Matrix(809,-918,334,-379) (9/8,8/7) -> (46/19,63/26) Hyperbolic Matrix(1079,-1242,470,-541) (8/7,15/13) -> (39/17,62/27) Hyperbolic Matrix(325,-378,92,-107) (15/13,7/6) -> (7/2,39/11) Hyperbolic Matrix(595,-702,228,-269) (7/6,13/11) -> (13/5,47/18) Hyperbolic Matrix(593,-702,136,-161) (13/11,19/16) -> (13/3,35/8) Glide Reflection Matrix(2269,-2700,816,-971) (19/16,25/21) -> (25/9,89/32) Hyperbolic Matrix(271,-324,46,-55) (25/21,6/5) -> (29/5,6/1) Glide Reflection Matrix(269,-324,44,-53) (6/5,29/24) -> (6/1,25/4) Glide Reflection Matrix(2053,-2484,624,-755) (29/24,23/19) -> (23/7,79/24) Hyperbolic Matrix(1025,-1242,222,-269) (23/19,17/14) -> (23/5,37/8) Glide Reflection Matrix(487,-594,132,-161) (17/14,11/9) -> (11/3,37/10) Hyperbolic Matrix(485,-594,396,-485) (11/9,27/22) -> (11/9,27/22) Reflection Matrix(703,-864,572,-703) (27/22,16/13) -> (27/22,16/13) Reflection Matrix(919,-1134,218,-269) (16/13,21/17) -> (21/5,38/9) Hyperbolic Matrix(217,-270,86,-107) (21/17,5/4) -> (5/2,33/13) Hyperbolic Matrix(811,-1026,298,-377) (5/4,19/15) -> (19/7,49/18) Hyperbolic Matrix(809,-1026,384,-487) (19/15,52/41) -> (2/1,19/9) Hyperbolic Matrix(2809,-3564,852,-1081) (52/41,33/26) -> (56/17,33/10) Glide Reflection Matrix(1403,-1782,596,-757) (33/26,14/11) -> (40/17,33/14) Hyperbolic Matrix(593,-756,382,-487) (14/11,23/18) -> (31/20,14/9) Hyperbolic Matrix(379,-486,294,-377) (23/18,9/7) -> (9/7,31/24) Parabolic Matrix(2215,-2862,962,-1243) (31/24,53/41) -> (23/10,53/23) Glide Reflection Matrix(4051,-5238,1546,-1999) (53/41,22/17) -> (55/21,76/29) Glide Reflection Matrix(917,-1188,626,-811) (22/17,35/27) -> (19/13,22/15) Hyperbolic Matrix(541,-702,84,-109) (35/27,13/10) -> (19/3,13/2) Glide Reflection Matrix(703,-918,206,-269) (13/10,17/13) -> (17/5,41/12) Hyperbolic Matrix(865,-1134,164,-215) (17/13,21/16) -> (21/4,37/7) Hyperbolic Matrix(863,-1134,328,-431) (21/16,4/3) -> (21/8,50/19) Glide Reflection Matrix(757,-1026,318,-431) (4/3,19/14) -> (19/8,50/21) Hyperbolic Matrix(2701,-3672,1032,-1403) (19/14,34/25) -> (34/13,89/34) Hyperbolic Matrix(2699,-3672,1190,-1619) (34/25,49/36) -> (34/15,59/26) Glide Reflection Matrix(2537,-3456,1626,-2215) (49/36,15/11) -> (39/25,103/66) Hyperbolic Matrix(593,-810,276,-377) (15/11,41/30) -> (15/7,13/6) Glide Reflection Matrix(2053,-2808,552,-755) (41/30,26/19) -> (26/7,67/18) Hyperbolic Matrix(433,-594,78,-107) (26/19,11/8) -> (11/2,28/5) Hyperbolic Matrix(431,-594,156,-215) (11/8,29/21) -> (11/4,25/9) Glide Reflection Matrix(703,-972,196,-271) (29/21,18/13) -> (25/7,18/5) Glide Reflection Matrix(701,-972,194,-269) (18/13,25/18) -> (18/5,29/8) Glide Reflection Matrix(4157,-5778,2526,-3511) (25/18,57/41) -> (51/31,79/48) Hyperbolic Matrix(2213,-3078,504,-701) (57/41,32/23) -> (57/13,22/5) Glide Reflection Matrix(271,-378,38,-53) (32/23,7/5) -> (7/1,22/3) Hyperbolic Matrix(269,-378,116,-163) (7/5,24/17) -> (30/13,7/3) Hyperbolic Matrix(649,-918,152,-215) (24/17,17/12) -> (17/4,30/7) Hyperbolic Matrix(647,-918,456,-647) (17/12,27/19) -> (17/12,27/19) Reflection Matrix(379,-540,266,-379) (27/19,10/7) -> (27/19,10/7) Reflection Matrix(3241,-4644,1356,-1943) (10/7,43/30) -> (43/18,98/41) Hyperbolic Matrix(2861,-4104,1770,-2539) (43/30,33/23) -> (21/13,97/60) Hyperbolic Matrix(2483,-3564,526,-755) (33/23,56/39) -> (33/7,52/11) Glide Reflection Matrix(1729,-2484,300,-431) (56/39,23/16) -> (23/4,52/9) Hyperbolic Matrix(487,-702,188,-271) (23/16,13/9) -> (31/12,13/5) Glide Reflection Matrix(595,-864,334,-485) (13/9,16/11) -> (16/9,41/23) Hyperbolic Matrix(593,-864,186,-271) (16/11,19/13) -> (35/11,16/5) Hyperbolic Matrix(919,-1350,258,-379) (22/15,3/2) -> (32/9,57/16) Glide Reflection Matrix(703,-1080,386,-593) (3/2,20/13) -> (20/11,51/28) Hyperbolic Matrix(701,-1080,246,-379) (20/13,17/11) -> (37/13,20/7) Hyperbolic Matrix(593,-918,104,-161) (17/11,31/20) -> (17/3,23/4) Glide Reflection Matrix(3673,-5724,1524,-2375) (14/9,53/34) -> (53/22,94/39) Hyperbolic Matrix(2701,-4212,1178,-1837) (53/34,39/25) -> (55/24,39/17) Glide Reflection Matrix(8857,-13824,2352,-3671) (103/66,64/41) -> (64/17,113/30) Hyperbolic Matrix(1729,-2700,276,-431) (64/41,25/16) -> (25/4,44/7) Hyperbolic Matrix(379,-594,104,-163) (25/16,11/7) -> (29/8,11/3) Glide Reflection Matrix(377,-594,172,-271) (11/7,30/19) -> (24/11,11/5) Hyperbolic Matrix(649,-1026,136,-215) (30/19,19/12) -> (19/4,24/5) Hyperbolic Matrix(647,-1026,408,-647) (19/12,27/17) -> (19/12,27/17) Reflection Matrix(271,-432,170,-271) (27/17,8/5) -> (27/17,8/5) Reflection Matrix(973,-1566,402,-647) (8/5,29/18) -> (29/12,46/19) Hyperbolic Matrix(3349,-5400,1272,-2051) (29/18,50/31) -> (50/19,79/30) Hyperbolic Matrix(703,-1134,168,-271) (50/31,21/13) -> (4/1,21/5) Glide Reflection Matrix(10153,-16416,3072,-4967) (97/60,76/47) -> (76/23,119/36) Hyperbolic Matrix(3673,-5940,802,-1297) (76/47,55/34) -> (32/7,55/12) Glide Reflection Matrix(2269,-3672,600,-971) (55/34,34/21) -> (34/9,53/14) Hyperbolic Matrix(433,-702,66,-107) (34/21,13/8) -> (13/2,20/3) Hyperbolic Matrix(431,-702,132,-215) (13/8,31/19) -> (13/4,23/7) Glide Reflection Matrix(595,-972,232,-379) (31/19,18/11) -> (23/9,18/7) Glide Reflection Matrix(593,-972,230,-377) (18/11,23/14) -> (18/7,31/12) Glide Reflection Matrix(755,-1242,262,-431) (23/14,51/31) -> (23/8,3/1) Glide Reflection Matrix(4429,-7290,918,-1511) (79/48,28/17) -> (82/17,29/6) Hyperbolic Matrix(163,-270,32,-53) (28/17,5/3) -> (5/1,26/5) Hyperbolic Matrix(161,-270,96,-161) (5/3,27/16) -> (5/3,27/16) Reflection Matrix(703,-1188,416,-703) (27/16,22/13) -> (27/16,22/13) Reflection Matrix(1243,-2106,350,-593) (22/13,39/23) -> (39/11,32/9) Hyperbolic Matrix(541,-918,254,-431) (39/23,17/10) -> (17/8,15/7) Hyperbolic Matrix(919,-1566,348,-593) (17/10,29/17) -> (29/11,37/14) Hyperbolic Matrix(917,-1566,284,-485) (29/17,41/24) -> (29/9,13/4) Glide Reflection Matrix(3349,-5724,1200,-2051) (41/24,53/31) -> (53/19,67/24) Hyperbolic Matrix(757,-1296,316,-541) (53/31,12/7) -> (55/23,12/5) Glide Reflection Matrix(755,-1296,314,-539) (12/7,55/32) -> (12/5,53/22) Glide Reflection Matrix(377,-648,32,-55) (55/32,43/25) -> (11/1,1/0) Hyperbolic Matrix(973,-1674,440,-757) (43/25,31/18) -> (11/5,31/14) Glide Reflection Matrix(595,-1026,156,-269) (31/18,19/11) -> (19/5,23/6) Hyperbolic Matrix(1187,-2052,188,-325) (19/11,64/37) -> (44/7,19/3) Hyperbolic Matrix(1403,-2430,250,-433) (45/26,26/15) -> (28/5,45/8) Hyperbolic Matrix(1027,-1782,404,-701) (26/15,33/19) -> (33/13,28/11) Hyperbolic Matrix(1025,-1782,218,-379) (33/19,7/4) -> (47/10,33/7) Hyperbolic Matrix(215,-378,62,-109) (7/4,23/13) -> (31/9,7/2) Hyperbolic Matrix(701,-1242,92,-163) (23/13,39/22) -> (15/2,23/3) Hyperbolic Matrix(2375,-4212,852,-1511) (39/22,55/31) -> (39/14,53/19) Glide Reflection Matrix(1673,-2970,396,-703) (55/31,16/9) -> (38/9,55/13) Hyperbolic Matrix(1241,-2214,514,-917) (41/23,25/14) -> (41/17,29/12) Glide Reflection Matrix(271,-486,150,-269) (25/14,9/5) -> (9/5,29/16) Parabolic Matrix(863,-1566,178,-323) (29/16,49/27) -> (29/6,5/1) Glide Reflection Matrix(1457,-2646,386,-701) (49/27,20/11) -> (49/13,34/9) Glide Reflection Matrix(1511,-2754,592,-1079) (51/28,31/17) -> (51/20,23/9) Glide Reflection Matrix(917,-1674,384,-701) (31/17,11/6) -> (31/13,43/18) Glide Reflection Matrix(323,-594,118,-217) (11/6,13/7) -> (41/15,11/4) Hyperbolic Matrix(433,-810,116,-217) (13/7,15/8) -> (41/11,15/4) Glide Reflection Matrix(487,-918,200,-377) (15/8,2/1) -> (56/23,39/16) Hyperbolic Matrix(971,-2052,256,-541) (19/9,17/8) -> (91/24,19/5) Hyperbolic Matrix(595,-1296,174,-379) (13/6,24/11) -> (41/12,24/7) Glide Reflection Matrix(487,-1080,170,-377) (31/14,20/9) -> (20/7,23/8) Hyperbolic Matrix(217,-486,96,-215) (20/9,9/4) -> (9/4,34/15) Parabolic Matrix(2593,-5886,952,-2161) (59/26,25/11) -> (49/18,79/29) Glide Reflection Matrix(379,-864,118,-269) (25/11,16/7) -> (16/5,29/9) Hyperbolic Matrix(755,-1728,142,-325) (16/7,55/24) -> (53/10,16/3) Hyperbolic Matrix(917,-2106,118,-271) (62/27,23/10) -> (31/4,8/1) Hyperbolic Matrix(1241,-2862,258,-595) (53/23,30/13) -> (24/5,53/11) Hyperbolic Matrix(1079,-2538,230,-541) (7/3,40/17) -> (14/3,61/13) Hyperbolic Matrix(595,-1404,114,-269) (33/14,26/11) -> (26/5,21/4) Hyperbolic Matrix(1187,-2808,320,-757) (26/11,45/19) -> (63/17,26/7) Hyperbolic Matrix(433,-1026,46,-109) (45/19,64/27) -> (9/1,10/1) Glide Reflection Matrix(2915,-6912,1048,-2485) (64/27,19/8) -> (89/32,64/23) Hyperbolic Matrix(3401,-8100,1428,-3401) (50/21,81/34) -> (50/21,81/34) Reflection Matrix(2107,-5022,884,-2107) (81/34,31/13) -> (81/34,31/13) Reflection Matrix(10529,-25380,4368,-10529) (94/39,135/56) -> (94/39,135/56) Reflection Matrix(4591,-11070,1904,-4591) (135/56,41/17) -> (135/56,41/17) Reflection Matrix(757,-1836,134,-325) (63/26,17/7) -> (45/8,17/3) Glide Reflection Matrix(1997,-4860,422,-1027) (17/7,56/23) -> (52/11,71/15) Hyperbolic Matrix(487,-1188,66,-161) (39/16,22/9) -> (22/3,15/2) Hyperbolic Matrix(485,-1188,198,-485) (22/9,27/11) -> (22/9,27/11) Reflection Matrix(109,-270,44,-109) (27/11,5/2) -> (27/11,5/2) Reflection Matrix(2267,-5778,636,-1621) (28/11,51/20) -> (57/16,82/23) Hyperbolic Matrix(2915,-7614,1116,-2915) (47/18,81/31) -> (47/18,81/31) Reflection Matrix(2107,-5508,806,-2107) (81/31,34/13) -> (81/31,34/13) Reflection Matrix(4105,-10746,866,-2267) (89/34,144/55) -> (90/19,19/4) Hyperbolic Matrix(4537,-11880,1072,-2807) (144/55,55/21) -> (55/13,72/17) Hyperbolic Matrix(1565,-4104,474,-1243) (76/29,21/8) -> (33/10,76/23) Hyperbolic Matrix(6479,-17064,2460,-6479) (79/30,108/41) -> (79/30,108/41) Reflection Matrix(2377,-6264,902,-2377) (108/41,29/11) -> (108/41,29/11) Reflection Matrix(163,-432,20,-53) (37/14,8/3) -> (8/1,17/2) Hyperbolic Matrix(161,-432,60,-161) (8/3,27/10) -> (8/3,27/10) Reflection Matrix(379,-1026,140,-379) (27/10,19/7) -> (27/10,19/7) Reflection Matrix(1565,-4266,456,-1243) (79/29,30/11) -> (24/7,79/23) Hyperbolic Matrix(593,-1620,138,-377) (30/11,41/15) -> (30/7,13/3) Glide Reflection Matrix(1241,-3456,330,-919) (64/23,39/14) -> (15/4,64/17) Hyperbolic Matrix(3887,-10854,1392,-3887) (67/24,81/29) -> (67/24,81/29) Reflection Matrix(811,-2268,290,-811) (81/29,14/5) -> (81/29,14/5) Reflection Matrix(269,-756,58,-163) (14/5,17/6) -> (37/8,14/3) Hyperbolic Matrix(647,-1836,228,-647) (17/6,54/19) -> (17/6,54/19) Reflection Matrix(1405,-3996,494,-1405) (54/19,37/13) -> (54/19,37/13) Reflection Matrix(377,-1188,86,-271) (3/1,19/6) -> (35/8,57/13) Hyperbolic Matrix(647,-2052,204,-647) (19/6,54/17) -> (19/6,54/17) Reflection Matrix(1189,-3780,374,-1189) (54/17,35/11) -> (54/17,35/11) Reflection Matrix(6479,-21330,1968,-6479) (79/24,135/41) -> (79/24,135/41) Reflection Matrix(4591,-15120,1394,-4591) (135/41,56/17) -> (135/41,56/17) Reflection Matrix(11663,-38556,3528,-11663) (119/36,162/49) -> (119/36,162/49) Reflection Matrix(4213,-13932,1274,-4213) (162/49,43/13) -> (162/49,43/13) Reflection Matrix(163,-540,16,-53) (43/13,10/3) -> (10/1,11/1) Hyperbolic Matrix(161,-540,48,-161) (10/3,27/8) -> (10/3,27/8) Reflection Matrix(271,-918,80,-271) (27/8,17/5) -> (27/8,17/5) Reflection Matrix(2861,-9828,802,-2755) (79/23,55/16) -> (107/30,25/7) Hyperbolic Matrix(863,-2970,188,-647) (55/16,31/9) -> (55/12,23/5) Glide Reflection Matrix(8693,-30996,2438,-8693) (82/23,189/53) -> (82/23,189/53) Reflection Matrix(11341,-40446,3180,-11341) (189/53,107/30) -> (189/53,107/30) Reflection Matrix(379,-1404,44,-163) (37/10,63/17) -> (17/2,9/1) Glide Reflection Matrix(3887,-14472,1044,-3887) (67/18,108/29) -> (67/18,108/29) Reflection Matrix(2377,-8856,638,-2377) (108/29,41/11) -> (108/29,41/11) Reflection Matrix(9719,-36612,2580,-9719) (113/30,162/43) -> (113/30,162/43) Reflection Matrix(4213,-15876,1118,-4213) (162/43,49/13) -> (162/43,49/13) Reflection Matrix(2267,-8586,428,-1621) (53/14,72/19) -> (90/17,53/10) Hyperbolic Matrix(2051,-7776,484,-1835) (72/19,91/24) -> (72/17,17/4) Glide Reflection Matrix(323,-1242,84,-323) (23/6,27/7) -> (23/6,27/7) Reflection Matrix(55,-216,14,-55) (27/7,4/1) -> (27/7,4/1) Reflection Matrix(109,-486,24,-107) (22/5,9/2) -> (9/2,32/7) Parabolic Matrix(2807,-13176,598,-2807) (61/13,108/23) -> (61/13,108/23) Reflection Matrix(2161,-10152,460,-2161) (108/23,47/10) -> (108/23,47/10) Reflection Matrix(2053,-9720,388,-1837) (71/15,90/19) -> (37/7,90/17) Glide Reflection Matrix(2969,-14310,616,-2969) (53/11,135/28) -> (53/11,135/28) Reflection Matrix(4591,-22140,952,-4591) (135/28,82/17) -> (135/28,82/17) Reflection Matrix(161,-864,30,-161) (16/3,27/5) -> (16/3,27/5) Reflection Matrix(109,-594,20,-109) (27/5,11/2) -> (27/5,11/2) Reflection Matrix(1457,-8424,252,-1457) (52/9,81/14) -> (52/9,81/14) Reflection Matrix(811,-4698,140,-811) (81/14,29/5) -> (81/14,29/5) Reflection Matrix(161,-1080,24,-161) (20/3,27/4) -> (20/3,27/4) Reflection Matrix(55,-378,8,-55) (27/4,7/1) -> (27/4,7/1) Reflection Matrix(323,-2484,42,-323) (23/3,54/7) -> (23/3,54/7) Reflection Matrix(433,-3348,56,-433) (54/7,31/4) -> (54/7,31/4) Reflection IMAGES OF THE GENERATORS MAP ON REFLECTION AXES OR UNDER THE VIRTUAL ENDOMORPHISM FIXED POINT OF IMAGE Matrix(1,0,0,-1) -> Matrix(-1,0,2,1) (0/1,1/0) -> (-1/1,0/1) Matrix(1,0,2,-1) -> Matrix(15,14,-16,-15) (0/1,1/1) -> (-1/1,-7/8) Matrix(593,-648,248,-271) -> Matrix(43,38,-60,-53) Matrix(917,-1026,530,-593) -> Matrix(59,52,-76,-67) Matrix(809,-918,334,-379) -> Matrix(5,4,-4,-3) -1/1 Matrix(1079,-1242,470,-541) -> Matrix(5,4,-4,-3) -1/1 Matrix(325,-378,92,-107) -> Matrix(5,4,-4,-3) -1/1 Matrix(595,-702,228,-269) -> Matrix(5,4,-4,-3) -1/1 Matrix(593,-702,136,-161) -> Matrix(25,22,-42,-37) Matrix(2269,-2700,816,-971) -> Matrix(23,20,-38,-33) Matrix(271,-324,46,-55) -> Matrix(7,6,-22,-19) Matrix(269,-324,44,-53) -> Matrix(7,6,6,5) Matrix(2053,-2484,624,-755) -> Matrix(39,32,-50,-41) -4/5 Matrix(1025,-1242,222,-269) -> Matrix(5,4,-16,-13) Matrix(487,-594,132,-161) -> Matrix(3,2,-2,-1) -1/1 Matrix(485,-594,396,-485) -> Matrix(7,6,-8,-7) (11/9,27/22) -> (-1/1,-3/4) Matrix(703,-864,572,-703) -> Matrix(23,22,-24,-23) (27/22,16/13) -> (-1/1,-11/12) Matrix(919,-1134,218,-269) -> Matrix(29,26,-48,-43) Matrix(217,-270,86,-107) -> Matrix(7,6,-6,-5) -1/1 Matrix(811,-1026,298,-377) -> Matrix(23,20,-38,-33) Matrix(809,-1026,384,-487) -> Matrix(43,38,-60,-53) Matrix(2809,-3564,852,-1081) -> Matrix(37,32,-52,-45) Matrix(1403,-1782,596,-757) -> Matrix(5,4,-4,-3) -1/1 Matrix(593,-756,382,-487) -> Matrix(3,2,-2,-1) -1/1 Matrix(379,-486,294,-377) -> Matrix(83,72,-98,-85) -6/7 Matrix(2215,-2862,962,-1243) -> Matrix(27,22,-38,-31) Matrix(4051,-5238,1546,-1999) -> Matrix(11,10,-12,-11) *** -> (-1/1,-5/6) Matrix(917,-1188,626,-811) -> Matrix(1,0,0,1) Matrix(541,-702,84,-109) -> Matrix(5,4,-6,-5) *** -> (-1/1,-2/3) Matrix(703,-918,206,-269) -> Matrix(5,4,-4,-3) -1/1 Matrix(865,-1134,164,-215) -> Matrix(7,6,-6,-5) -1/1 Matrix(863,-1134,328,-431) -> Matrix(37,32,-52,-45) Matrix(757,-1026,318,-431) -> Matrix(117,100,-172,-147) Matrix(2701,-3672,1032,-1403) -> Matrix(61,52,-88,-75) Matrix(2699,-3672,1190,-1619) -> Matrix(139,118,-192,-163) Matrix(2537,-3456,1626,-2215) -> Matrix(85,72,-98,-83) -6/7 Matrix(593,-810,276,-377) -> Matrix(19,16,-32,-27) Matrix(2053,-2808,552,-755) -> Matrix(33,28,-46,-39) Matrix(433,-594,78,-107) -> Matrix(7,6,-20,-17) Matrix(431,-594,156,-215) -> Matrix(19,16,-32,-27) Matrix(703,-972,196,-271) -> Matrix(9,8,-10,-9) *** -> (-1/1,-4/5) Matrix(701,-972,194,-269) -> Matrix(47,40,-74,-63) Matrix(4157,-5778,2526,-3511) -> Matrix(119,100,-144,-121) -5/6 Matrix(2213,-3078,504,-701) -> Matrix(31,26,-56,-47) Matrix(271,-378,38,-53) -> Matrix(33,28,-46,-39) Matrix(269,-378,116,-163) -> Matrix(69,58,-94,-79) Matrix(649,-918,152,-215) -> Matrix(7,6,-20,-17) Matrix(647,-918,456,-647) -> Matrix(311,260,-372,-311) (17/12,27/19) -> (-26/31,-5/6) Matrix(379,-540,266,-379) -> Matrix(49,40,-60,-49) (27/19,10/7) -> (-5/6,-4/5) Matrix(3241,-4644,1356,-1943) -> Matrix(3,2,-2,-1) -1/1 Matrix(2861,-4104,1770,-2539) -> Matrix(59,50,-72,-61) -5/6 Matrix(2483,-3564,526,-755) -> Matrix(7,6,-8,-7) *** -> (-1/1,-3/4) Matrix(1729,-2484,300,-431) -> Matrix(5,4,-4,-3) -1/1 Matrix(487,-702,188,-271) -> Matrix(9,8,-10,-9) *** -> (-1/1,-4/5) Matrix(595,-864,334,-485) -> Matrix(115,98,-142,-121) Matrix(593,-864,186,-271) -> Matrix(33,28,-46,-39) Matrix(919,-1350,258,-379) -> Matrix(19,16,-32,-27) Matrix(703,-1080,386,-593) -> Matrix(79,64,-100,-81) -4/5 Matrix(701,-1080,246,-379) -> Matrix(5,4,-4,-3) -1/1 Matrix(593,-918,104,-161) -> Matrix(5,4,-16,-13) Matrix(3673,-5724,1524,-2375) -> Matrix(3,2,-2,-1) -1/1 Matrix(2701,-4212,1178,-1837) -> Matrix(27,22,-38,-31) Matrix(8857,-13824,2352,-3671) -> Matrix(39,32,-50,-41) -4/5 Matrix(1729,-2700,276,-431) -> Matrix(7,6,-6,-5) -1/1 Matrix(379,-594,104,-163) -> Matrix(7,6,-8,-7) *** -> (-1/1,-3/4) Matrix(377,-594,172,-271) -> Matrix(3,2,-2,-1) -1/1 Matrix(649,-1026,136,-215) -> Matrix(7,6,-20,-17) Matrix(647,-1026,408,-647) -> Matrix(191,160,-228,-191) (19/12,27/17) -> (-16/19,-5/6) Matrix(271,-432,170,-271) -> Matrix(169,140,-204,-169) (27/17,8/5) -> (-5/6,-14/17) Matrix(973,-1566,402,-647) -> Matrix(39,32,-50,-41) -4/5 Matrix(3349,-5400,1272,-2051) -> Matrix(107,88,-152,-125) Matrix(703,-1134,168,-271) -> Matrix(73,60,-118,-97) Matrix(10153,-16416,3072,-4967) -> Matrix(107,88,-152,-125) Matrix(3673,-5940,802,-1297) -> Matrix(39,32,-106,-87) Matrix(2269,-3672,600,-971) -> Matrix(107,88,-152,-125) Matrix(433,-702,66,-107) -> Matrix(27,22,-16,-13) Matrix(431,-702,132,-215) -> Matrix(27,22,-38,-31) Matrix(595,-972,232,-379) -> Matrix(5,4,-16,-13) Matrix(593,-972,230,-377) -> Matrix(49,40,-60,-49) *** -> (-5/6,-4/5) Matrix(755,-1242,262,-431) -> Matrix(5,4,-16,-13) Matrix(4429,-7290,918,-1511) -> Matrix(61,50,-72,-59) -5/6 Matrix(163,-270,32,-53) -> Matrix(5,4,6,5) Matrix(161,-270,96,-161) -> Matrix(169,136,-210,-169) (5/3,27/16) -> (-17/21,-4/5) Matrix(703,-1188,416,-703) -> Matrix(431,344,-540,-431) (27/16,22/13) -> (-4/5,-43/54) Matrix(1243,-2106,350,-593) -> Matrix(83,66,-122,-97) Matrix(541,-918,254,-431) -> Matrix(63,50,-92,-73) Matrix(919,-1566,348,-593) -> Matrix(23,18,-32,-25) -3/4 Matrix(917,-1566,284,-485) -> Matrix(7,6,-8,-7) *** -> (-1/1,-3/4) Matrix(3349,-5724,1200,-2051) -> Matrix(3,2,-2,-1) -1/1 Matrix(757,-1296,316,-541) -> Matrix(27,22,-38,-31) Matrix(755,-1296,314,-539) -> Matrix(13,10,-22,-17) Matrix(377,-648,32,-55) -> Matrix(5,4,-14,-11) Matrix(973,-1674,440,-757) -> Matrix(31,24,-40,-31) *** -> (-4/5,-3/4) Matrix(595,-1026,156,-269) -> Matrix(43,34,-62,-49) Matrix(1187,-2052,188,-325) -> Matrix(13,10,-4,-3) Matrix(1403,-2430,250,-433) -> Matrix(3,2,-2,-1) -1/1 Matrix(1027,-1782,404,-701) -> Matrix(3,2,-2,-1) -1/1 Matrix(1025,-1782,218,-379) -> Matrix(5,4,-4,-3) -1/1 Matrix(215,-378,62,-109) -> Matrix(3,2,-2,-1) -1/1 Matrix(701,-1242,92,-163) -> Matrix(17,14,-28,-23) Matrix(2375,-4212,852,-1511) -> Matrix(5,4,-16,-13) Matrix(1673,-2970,396,-703) -> Matrix(29,24,-52,-43) Matrix(1241,-2214,514,-917) -> Matrix(47,38,-68,-55) Matrix(271,-486,150,-269) -> Matrix(199,160,-250,-201) -4/5 Matrix(863,-1566,178,-323) -> Matrix(53,42,-82,-65) Matrix(1457,-2646,386,-701) -> Matrix(177,140,-244,-193) Matrix(1511,-2754,592,-1079) -> Matrix(13,10,-22,-17) Matrix(917,-1674,384,-701) -> Matrix(13,10,-22,-17) Matrix(323,-594,118,-217) -> Matrix(23,18,-32,-25) -3/4 Matrix(433,-810,116,-217) -> Matrix(31,24,-40,-31) *** -> (-4/5,-3/4) Matrix(487,-918,200,-377) -> Matrix(43,34,-62,-49) Matrix(971,-2052,256,-541) -> Matrix(69,50,-98,-71) -5/7 Matrix(595,-1296,174,-379) -> Matrix(7,6,-8,-7) *** -> (-1/1,-3/4) Matrix(487,-1080,170,-377) -> Matrix(5,4,-14,-11) Matrix(217,-486,96,-215) -> Matrix(71,54,-96,-73) -3/4 Matrix(2593,-5886,952,-2161) -> Matrix(11,8,-26,-19) Matrix(379,-864,118,-269) -> Matrix(25,18,-32,-23) -3/4 Matrix(755,-1728,142,-325) -> Matrix(11,8,-18,-13) -2/3 Matrix(917,-2106,118,-271) -> Matrix(3,2,-2,-1) -1/1 Matrix(1241,-2862,258,-595) -> Matrix(3,2,4,3) Matrix(1079,-2538,230,-541) -> Matrix(3,2,-2,-1) -1/1 Matrix(595,-1404,114,-269) -> Matrix(11,8,-18,-13) -2/3 Matrix(1187,-2808,320,-757) -> Matrix(11,8,-18,-13) -2/3 Matrix(433,-1026,46,-109) -> Matrix(17,12,-24,-17) *** -> (-3/4,-2/3) Matrix(2915,-6912,1048,-2485) -> Matrix(23,16,-36,-25) -2/3 Matrix(3401,-8100,1428,-3401) -> Matrix(113,76,-168,-113) (50/21,81/34) -> (-19/28,-2/3) Matrix(2107,-5022,884,-2107) -> Matrix(19,12,-30,-19) (81/34,31/13) -> (-2/3,-3/5) Matrix(10529,-25380,4368,-10529) -> Matrix(17,12,-24,-17) (94/39,135/56) -> (-3/4,-2/3) Matrix(4591,-11070,1904,-4591) -> Matrix(5,4,-6,-5) (135/56,41/17) -> (-1/1,-2/3) Matrix(757,-1836,134,-325) -> Matrix(3,2,-10,-7) Matrix(1997,-4860,422,-1027) -> Matrix(3,2,4,3) Matrix(487,-1188,66,-161) -> Matrix(23,16,-36,-25) -2/3 Matrix(485,-1188,198,-485) -> Matrix(65,44,-96,-65) (22/9,27/11) -> (-11/16,-2/3) Matrix(109,-270,44,-109) -> Matrix(7,4,-12,-7) (27/11,5/2) -> (-2/3,-1/2) Matrix(2267,-5778,636,-1621) -> Matrix(3,2,-2,-1) -1/1 Matrix(2915,-7614,1116,-2915) -> Matrix(5,4,-6,-5) (47/18,81/31) -> (-1/1,-2/3) Matrix(2107,-5508,806,-2107) -> Matrix(7,6,-8,-7) (81/31,34/13) -> (-1/1,-3/4) Matrix(4105,-10746,866,-2267) -> Matrix(1,0,0,1) Matrix(4537,-11880,1072,-2807) -> Matrix(11,8,-18,-13) -2/3 Matrix(1565,-4104,474,-1243) -> Matrix(23,18,-32,-25) -3/4 Matrix(6479,-17064,2460,-6479) -> Matrix(41,28,-60,-41) (79/30,108/41) -> (-7/10,-2/3) Matrix(2377,-6264,902,-2377) -> Matrix(5,4,-6,-5) (108/41,29/11) -> (-1/1,-2/3) Matrix(163,-432,20,-53) -> Matrix(3,2,-2,-1) -1/1 Matrix(161,-432,60,-161) -> Matrix(17,12,-24,-17) (8/3,27/10) -> (-3/4,-2/3) Matrix(379,-1026,140,-379) -> Matrix(19,12,-30,-19) (27/10,19/7) -> (-2/3,-3/5) Matrix(1565,-4266,456,-1243) -> Matrix(1,0,0,1) Matrix(593,-1620,138,-377) -> Matrix(7,4,-12,-7) *** -> (-2/3,-1/2) Matrix(1241,-3456,330,-919) -> Matrix(13,8,-18,-11) -2/3 Matrix(3887,-10854,1392,-3887) -> Matrix(5,4,-6,-5) (67/24,81/29) -> (-1/1,-2/3) Matrix(811,-2268,290,-811) -> Matrix(7,4,-12,-7) (81/29,14/5) -> (-2/3,-1/2) Matrix(269,-756,58,-163) -> Matrix(3,2,-8,-5) -1/2 Matrix(647,-1836,228,-647) -> Matrix(7,4,-12,-7) (17/6,54/19) -> (-2/3,-1/2) Matrix(1405,-3996,494,-1405) -> Matrix(5,2,-12,-5) (54/19,37/13) -> (-1/2,-1/3) Matrix(377,-1188,86,-271) -> Matrix(11,8,-18,-13) -2/3 Matrix(647,-2052,204,-647) -> Matrix(31,24,-40,-31) (19/6,54/17) -> (-4/5,-3/4) Matrix(1189,-3780,374,-1189) -> Matrix(41,30,-56,-41) (54/17,35/11) -> (-3/4,-5/7) Matrix(6479,-21330,1968,-6479) -> Matrix(175,132,-232,-175) (79/24,135/41) -> (-22/29,-3/4) Matrix(4591,-15120,1394,-4591) -> Matrix(113,84,-152,-113) (135/41,56/17) -> (-3/4,-14/19) Matrix(11663,-38556,3528,-11663) -> Matrix(41,28,-60,-41) (119/36,162/49) -> (-7/10,-2/3) Matrix(4213,-13932,1274,-4213) -> Matrix(5,4,-6,-5) (162/49,43/13) -> (-1/1,-2/3) Matrix(163,-540,16,-53) -> Matrix(3,2,-2,-1) -1/1 Matrix(161,-540,48,-161) -> Matrix(17,12,-24,-17) (10/3,27/8) -> (-3/4,-2/3) Matrix(271,-918,80,-271) -> Matrix(5,4,-6,-5) (27/8,17/5) -> (-1/1,-2/3) Matrix(2861,-9828,802,-2755) -> Matrix(1,2,-2,-3) -1/1 Matrix(863,-2970,188,-647) -> Matrix(3,2,-10,-7) Matrix(8693,-30996,2438,-8693) -> Matrix(1,2,0,-1) (82/23,189/53) -> (-1/1,1/0) Matrix(11341,-40446,3180,-11341) -> Matrix(13,12,-14,-13) (189/53,107/30) -> (-1/1,-6/7) Matrix(379,-1404,44,-163) -> Matrix(3,2,-4,-3) *** -> (-1/1,-1/2) Matrix(3887,-14472,1044,-3887) -> Matrix(-1,0,2,1) (67/18,108/29) -> (-1/1,0/1) Matrix(2377,-8856,638,-2377) -> Matrix(11,10,-12,-11) (108/29,41/11) -> (-1/1,-5/6) Matrix(9719,-36612,2580,-9719) -> Matrix(175,132,-232,-175) (113/30,162/43) -> (-22/29,-3/4) Matrix(4213,-15876,1118,-4213) -> Matrix(137,102,-184,-137) (162/43,49/13) -> (-3/4,-17/23) Matrix(2267,-8586,428,-1621) -> Matrix(11,8,-18,-13) -2/3 Matrix(2051,-7776,484,-1835) -> Matrix(79,56,-134,-95) Matrix(323,-1242,84,-323) -> Matrix(65,44,-96,-65) (23/6,27/7) -> (-11/16,-2/3) Matrix(55,-216,14,-55) -> Matrix(7,4,-12,-7) (27/7,4/1) -> (-2/3,-1/2) Matrix(109,-486,24,-107) -> Matrix(11,6,-24,-13) -1/2 Matrix(2807,-13176,598,-2807) -> Matrix(-1,0,6,1) (61/13,108/23) -> (-1/3,0/1) Matrix(2161,-10152,460,-2161) -> Matrix(-1,0,2,1) (108/23,47/10) -> (-1/1,0/1) Matrix(2053,-9720,388,-1837) -> Matrix(-1,0,2,1) *** -> (-1/1,0/1) Matrix(2969,-14310,616,-2969) -> Matrix(7,8,-6,-7) (53/11,135/28) -> (-4/3,-1/1) Matrix(4591,-22140,952,-4591) -> Matrix(19,18,-20,-19) (135/28,82/17) -> (-1/1,-9/10) Matrix(161,-864,30,-161) -> Matrix(3,2,-4,-3) (16/3,27/5) -> (-1/1,-1/2) Matrix(109,-594,20,-109) -> Matrix(-1,0,4,1) (27/5,11/2) -> (-1/2,0/1) Matrix(1457,-8424,252,-1457) -> Matrix(7,4,-12,-7) (52/9,81/14) -> (-2/3,-1/2) Matrix(811,-4698,140,-811) -> Matrix(5,2,-12,-5) (81/14,29/5) -> (-1/2,-1/3) Matrix(161,-1080,24,-161) -> Matrix(13,14,-12,-13) (20/3,27/4) -> (-7/6,-1/1) Matrix(55,-378,8,-55) -> Matrix(7,6,-8,-7) (27/4,7/1) -> (-1/1,-3/4) Matrix(323,-2484,42,-323) -> Matrix(11,6,-20,-11) (23/3,54/7) -> (-3/5,-1/2) Matrix(433,-3348,56,-433) -> Matrix(9,4,-20,-9) (54/7,31/4) -> (-1/2,-2/5) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.